Identifier
Mp00240: Permutations —weak exceedance partition⟶ Set partitions
Mp00080: Set partitions —to permutation⟶ Permutations
Mp00127: Permutations —left-to-right-maxima to Dyck path⟶ Dyck paths
Images
=>
Cc0009;cc-rep-1Cc0005;cc-rep-3
[1]=>{{1}}=>[1]=>[1,0] [1,2]=>{{1},{2}}=>[1,2]=>[1,0,1,0] [2,1]=>{{1,2}}=>[2,1]=>[1,1,0,0] [1,2,3]=>{{1},{2},{3}}=>[1,2,3]=>[1,0,1,0,1,0] [1,3,2]=>{{1},{2,3}}=>[1,3,2]=>[1,0,1,1,0,0] [2,1,3]=>{{1,2},{3}}=>[2,1,3]=>[1,1,0,0,1,0] [2,3,1]=>{{1,2,3}}=>[2,3,1]=>[1,1,0,1,0,0] [3,1,2]=>{{1,3},{2}}=>[3,2,1]=>[1,1,1,0,0,0] [3,2,1]=>{{1,3},{2}}=>[3,2,1]=>[1,1,1,0,0,0] [1,2,3,4]=>{{1},{2},{3},{4}}=>[1,2,3,4]=>[1,0,1,0,1,0,1,0] [1,2,4,3]=>{{1},{2},{3,4}}=>[1,2,4,3]=>[1,0,1,0,1,1,0,0] [1,3,2,4]=>{{1},{2,3},{4}}=>[1,3,2,4]=>[1,0,1,1,0,0,1,0] [1,3,4,2]=>{{1},{2,3,4}}=>[1,3,4,2]=>[1,0,1,1,0,1,0,0] [1,4,2,3]=>{{1},{2,4},{3}}=>[1,4,3,2]=>[1,0,1,1,1,0,0,0] [1,4,3,2]=>{{1},{2,4},{3}}=>[1,4,3,2]=>[1,0,1,1,1,0,0,0] [2,1,3,4]=>{{1,2},{3},{4}}=>[2,1,3,4]=>[1,1,0,0,1,0,1,0] [2,1,4,3]=>{{1,2},{3,4}}=>[2,1,4,3]=>[1,1,0,0,1,1,0,0] [2,3,1,4]=>{{1,2,3},{4}}=>[2,3,1,4]=>[1,1,0,1,0,0,1,0] [2,3,4,1]=>{{1,2,3,4}}=>[2,3,4,1]=>[1,1,0,1,0,1,0,0] [2,4,1,3]=>{{1,2,4},{3}}=>[2,4,3,1]=>[1,1,0,1,1,0,0,0] [2,4,3,1]=>{{1,2,4},{3}}=>[2,4,3,1]=>[1,1,0,1,1,0,0,0] [3,1,2,4]=>{{1,3},{2},{4}}=>[3,2,1,4]=>[1,1,1,0,0,0,1,0] [3,1,4,2]=>{{1,3,4},{2}}=>[3,2,4,1]=>[1,1,1,0,0,1,0,0] [3,2,1,4]=>{{1,3},{2},{4}}=>[3,2,1,4]=>[1,1,1,0,0,0,1,0] [3,2,4,1]=>{{1,3,4},{2}}=>[3,2,4,1]=>[1,1,1,0,0,1,0,0] [3,4,1,2]=>{{1,3},{2,4}}=>[3,4,1,2]=>[1,1,1,0,1,0,0,0] [3,4,2,1]=>{{1,3},{2,4}}=>[3,4,1,2]=>[1,1,1,0,1,0,0,0] [4,1,2,3]=>{{1,4},{2},{3}}=>[4,2,3,1]=>[1,1,1,1,0,0,0,0] [4,1,3,2]=>{{1,4},{2},{3}}=>[4,2,3,1]=>[1,1,1,1,0,0,0,0] [4,2,1,3]=>{{1,4},{2},{3}}=>[4,2,3,1]=>[1,1,1,1,0,0,0,0] [4,2,3,1]=>{{1,4},{2},{3}}=>[4,2,3,1]=>[1,1,1,1,0,0,0,0] [4,3,1,2]=>{{1,4},{2,3}}=>[4,3,2,1]=>[1,1,1,1,0,0,0,0] [4,3,2,1]=>{{1,4},{2,3}}=>[4,3,2,1]=>[1,1,1,1,0,0,0,0] [1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>[1,2,3,4,5]=>[1,0,1,0,1,0,1,0,1,0] [1,2,3,5,4]=>{{1},{2},{3},{4,5}}=>[1,2,3,5,4]=>[1,0,1,0,1,0,1,1,0,0] [1,2,4,3,5]=>{{1},{2},{3,4},{5}}=>[1,2,4,3,5]=>[1,0,1,0,1,1,0,0,1,0] [1,2,4,5,3]=>{{1},{2},{3,4,5}}=>[1,2,4,5,3]=>[1,0,1,0,1,1,0,1,0,0] [1,2,5,3,4]=>{{1},{2},{3,5},{4}}=>[1,2,5,4,3]=>[1,0,1,0,1,1,1,0,0,0] [1,2,5,4,3]=>{{1},{2},{3,5},{4}}=>[1,2,5,4,3]=>[1,0,1,0,1,1,1,0,0,0] [1,3,2,4,5]=>{{1},{2,3},{4},{5}}=>[1,3,2,4,5]=>[1,0,1,1,0,0,1,0,1,0] [1,3,2,5,4]=>{{1},{2,3},{4,5}}=>[1,3,2,5,4]=>[1,0,1,1,0,0,1,1,0,0] [1,3,4,2,5]=>{{1},{2,3,4},{5}}=>[1,3,4,2,5]=>[1,0,1,1,0,1,0,0,1,0] [1,3,4,5,2]=>{{1},{2,3,4,5}}=>[1,3,4,5,2]=>[1,0,1,1,0,1,0,1,0,0] [1,3,5,2,4]=>{{1},{2,3,5},{4}}=>[1,3,5,4,2]=>[1,0,1,1,0,1,1,0,0,0] [1,3,5,4,2]=>{{1},{2,3,5},{4}}=>[1,3,5,4,2]=>[1,0,1,1,0,1,1,0,0,0] [1,4,2,3,5]=>{{1},{2,4},{3},{5}}=>[1,4,3,2,5]=>[1,0,1,1,1,0,0,0,1,0] [1,4,2,5,3]=>{{1},{2,4,5},{3}}=>[1,4,3,5,2]=>[1,0,1,1,1,0,0,1,0,0] [1,4,3,2,5]=>{{1},{2,4},{3},{5}}=>[1,4,3,2,5]=>[1,0,1,1,1,0,0,0,1,0] [1,4,3,5,2]=>{{1},{2,4,5},{3}}=>[1,4,3,5,2]=>[1,0,1,1,1,0,0,1,0,0] [1,4,5,2,3]=>{{1},{2,4},{3,5}}=>[1,4,5,2,3]=>[1,0,1,1,1,0,1,0,0,0] [1,4,5,3,2]=>{{1},{2,4},{3,5}}=>[1,4,5,2,3]=>[1,0,1,1,1,0,1,0,0,0] [1,5,2,3,4]=>{{1},{2,5},{3},{4}}=>[1,5,3,4,2]=>[1,0,1,1,1,1,0,0,0,0] [1,5,2,4,3]=>{{1},{2,5},{3},{4}}=>[1,5,3,4,2]=>[1,0,1,1,1,1,0,0,0,0] [1,5,3,2,4]=>{{1},{2,5},{3},{4}}=>[1,5,3,4,2]=>[1,0,1,1,1,1,0,0,0,0] [1,5,3,4,2]=>{{1},{2,5},{3},{4}}=>[1,5,3,4,2]=>[1,0,1,1,1,1,0,0,0,0] [1,5,4,2,3]=>{{1},{2,5},{3,4}}=>[1,5,4,3,2]=>[1,0,1,1,1,1,0,0,0,0] [1,5,4,3,2]=>{{1},{2,5},{3,4}}=>[1,5,4,3,2]=>[1,0,1,1,1,1,0,0,0,0] [2,1,3,4,5]=>{{1,2},{3},{4},{5}}=>[2,1,3,4,5]=>[1,1,0,0,1,0,1,0,1,0] [2,1,3,5,4]=>{{1,2},{3},{4,5}}=>[2,1,3,5,4]=>[1,1,0,0,1,0,1,1,0,0] [2,1,4,3,5]=>{{1,2},{3,4},{5}}=>[2,1,4,3,5]=>[1,1,0,0,1,1,0,0,1,0] [2,1,4,5,3]=>{{1,2},{3,4,5}}=>[2,1,4,5,3]=>[1,1,0,0,1,1,0,1,0,0] [2,1,5,3,4]=>{{1,2},{3,5},{4}}=>[2,1,5,4,3]=>[1,1,0,0,1,1,1,0,0,0] [2,1,5,4,3]=>{{1,2},{3,5},{4}}=>[2,1,5,4,3]=>[1,1,0,0,1,1,1,0,0,0] [2,3,1,4,5]=>{{1,2,3},{4},{5}}=>[2,3,1,4,5]=>[1,1,0,1,0,0,1,0,1,0] [2,3,1,5,4]=>{{1,2,3},{4,5}}=>[2,3,1,5,4]=>[1,1,0,1,0,0,1,1,0,0] [2,3,4,1,5]=>{{1,2,3,4},{5}}=>[2,3,4,1,5]=>[1,1,0,1,0,1,0,0,1,0] [2,3,4,5,1]=>{{1,2,3,4,5}}=>[2,3,4,5,1]=>[1,1,0,1,0,1,0,1,0,0] [2,3,5,1,4]=>{{1,2,3,5},{4}}=>[2,3,5,4,1]=>[1,1,0,1,0,1,1,0,0,0] [2,3,5,4,1]=>{{1,2,3,5},{4}}=>[2,3,5,4,1]=>[1,1,0,1,0,1,1,0,0,0] [2,4,1,3,5]=>{{1,2,4},{3},{5}}=>[2,4,3,1,5]=>[1,1,0,1,1,0,0,0,1,0] [2,4,1,5,3]=>{{1,2,4,5},{3}}=>[2,4,3,5,1]=>[1,1,0,1,1,0,0,1,0,0] [2,4,3,1,5]=>{{1,2,4},{3},{5}}=>[2,4,3,1,5]=>[1,1,0,1,1,0,0,0,1,0] [2,4,3,5,1]=>{{1,2,4,5},{3}}=>[2,4,3,5,1]=>[1,1,0,1,1,0,0,1,0,0] [2,4,5,1,3]=>{{1,2,4},{3,5}}=>[2,4,5,1,3]=>[1,1,0,1,1,0,1,0,0,0] [2,4,5,3,1]=>{{1,2,4},{3,5}}=>[2,4,5,1,3]=>[1,1,0,1,1,0,1,0,0,0] [2,5,1,3,4]=>{{1,2,5},{3},{4}}=>[2,5,3,4,1]=>[1,1,0,1,1,1,0,0,0,0] [2,5,1,4,3]=>{{1,2,5},{3},{4}}=>[2,5,3,4,1]=>[1,1,0,1,1,1,0,0,0,0] [2,5,3,1,4]=>{{1,2,5},{3},{4}}=>[2,5,3,4,1]=>[1,1,0,1,1,1,0,0,0,0] [2,5,3,4,1]=>{{1,2,5},{3},{4}}=>[2,5,3,4,1]=>[1,1,0,1,1,1,0,0,0,0] [2,5,4,1,3]=>{{1,2,5},{3,4}}=>[2,5,4,3,1]=>[1,1,0,1,1,1,0,0,0,0] [2,5,4,3,1]=>{{1,2,5},{3,4}}=>[2,5,4,3,1]=>[1,1,0,1,1,1,0,0,0,0] [3,1,2,4,5]=>{{1,3},{2},{4},{5}}=>[3,2,1,4,5]=>[1,1,1,0,0,0,1,0,1,0] [3,1,2,5,4]=>{{1,3},{2},{4,5}}=>[3,2,1,5,4]=>[1,1,1,0,0,0,1,1,0,0] [3,1,4,2,5]=>{{1,3,4},{2},{5}}=>[3,2,4,1,5]=>[1,1,1,0,0,1,0,0,1,0] [3,1,4,5,2]=>{{1,3,4,5},{2}}=>[3,2,4,5,1]=>[1,1,1,0,0,1,0,1,0,0] [3,1,5,2,4]=>{{1,3,5},{2},{4}}=>[3,2,5,4,1]=>[1,1,1,0,0,1,1,0,0,0] [3,1,5,4,2]=>{{1,3,5},{2},{4}}=>[3,2,5,4,1]=>[1,1,1,0,0,1,1,0,0,0] [3,2,1,4,5]=>{{1,3},{2},{4},{5}}=>[3,2,1,4,5]=>[1,1,1,0,0,0,1,0,1,0] [3,2,1,5,4]=>{{1,3},{2},{4,5}}=>[3,2,1,5,4]=>[1,1,1,0,0,0,1,1,0,0] [3,2,4,1,5]=>{{1,3,4},{2},{5}}=>[3,2,4,1,5]=>[1,1,1,0,0,1,0,0,1,0] [3,2,4,5,1]=>{{1,3,4,5},{2}}=>[3,2,4,5,1]=>[1,1,1,0,0,1,0,1,0,0] [3,2,5,1,4]=>{{1,3,5},{2},{4}}=>[3,2,5,4,1]=>[1,1,1,0,0,1,1,0,0,0] [3,2,5,4,1]=>{{1,3,5},{2},{4}}=>[3,2,5,4,1]=>[1,1,1,0,0,1,1,0,0,0] [3,4,1,2,5]=>{{1,3},{2,4},{5}}=>[3,4,1,2,5]=>[1,1,1,0,1,0,0,0,1,0] [3,4,1,5,2]=>{{1,3},{2,4,5}}=>[3,4,1,5,2]=>[1,1,1,0,1,0,0,1,0,0] [3,4,2,1,5]=>{{1,3},{2,4},{5}}=>[3,4,1,2,5]=>[1,1,1,0,1,0,0,0,1,0] [3,4,2,5,1]=>{{1,3},{2,4,5}}=>[3,4,1,5,2]=>[1,1,1,0,1,0,0,1,0,0] [3,4,5,1,2]=>{{1,3,5},{2,4}}=>[3,4,5,2,1]=>[1,1,1,0,1,0,1,0,0,0] [3,4,5,2,1]=>{{1,3,5},{2,4}}=>[3,4,5,2,1]=>[1,1,1,0,1,0,1,0,0,0] [3,5,1,2,4]=>{{1,3},{2,5},{4}}=>[3,5,1,4,2]=>[1,1,1,0,1,1,0,0,0,0] [3,5,1,4,2]=>{{1,3},{2,5},{4}}=>[3,5,1,4,2]=>[1,1,1,0,1,1,0,0,0,0] [3,5,2,1,4]=>{{1,3},{2,5},{4}}=>[3,5,1,4,2]=>[1,1,1,0,1,1,0,0,0,0] [3,5,2,4,1]=>{{1,3},{2,5},{4}}=>[3,5,1,4,2]=>[1,1,1,0,1,1,0,0,0,0] [3,5,4,1,2]=>{{1,3,4},{2,5}}=>[3,5,4,1,2]=>[1,1,1,0,1,1,0,0,0,0] [3,5,4,2,1]=>{{1,3,4},{2,5}}=>[3,5,4,1,2]=>[1,1,1,0,1,1,0,0,0,0] [4,1,2,3,5]=>{{1,4},{2},{3},{5}}=>[4,2,3,1,5]=>[1,1,1,1,0,0,0,0,1,0] [4,1,2,5,3]=>{{1,4,5},{2},{3}}=>[4,2,3,5,1]=>[1,1,1,1,0,0,0,1,0,0] [4,1,3,2,5]=>{{1,4},{2},{3},{5}}=>[4,2,3,1,5]=>[1,1,1,1,0,0,0,0,1,0] [4,1,3,5,2]=>{{1,4,5},{2},{3}}=>[4,2,3,5,1]=>[1,1,1,1,0,0,0,1,0,0] [4,1,5,2,3]=>{{1,4},{2},{3,5}}=>[4,2,5,1,3]=>[1,1,1,1,0,0,1,0,0,0] [4,1,5,3,2]=>{{1,4},{2},{3,5}}=>[4,2,5,1,3]=>[1,1,1,1,0,0,1,0,0,0] [4,2,1,3,5]=>{{1,4},{2},{3},{5}}=>[4,2,3,1,5]=>[1,1,1,1,0,0,0,0,1,0] [4,2,1,5,3]=>{{1,4,5},{2},{3}}=>[4,2,3,5,1]=>[1,1,1,1,0,0,0,1,0,0] [4,2,3,1,5]=>{{1,4},{2},{3},{5}}=>[4,2,3,1,5]=>[1,1,1,1,0,0,0,0,1,0] [4,2,3,5,1]=>{{1,4,5},{2},{3}}=>[4,2,3,5,1]=>[1,1,1,1,0,0,0,1,0,0] [4,2,5,1,3]=>{{1,4},{2},{3,5}}=>[4,2,5,1,3]=>[1,1,1,1,0,0,1,0,0,0] [4,2,5,3,1]=>{{1,4},{2},{3,5}}=>[4,2,5,1,3]=>[1,1,1,1,0,0,1,0,0,0] [4,3,1,2,5]=>{{1,4},{2,3},{5}}=>[4,3,2,1,5]=>[1,1,1,1,0,0,0,0,1,0] [4,3,1,5,2]=>{{1,4,5},{2,3}}=>[4,3,2,5,1]=>[1,1,1,1,0,0,0,1,0,0] [4,3,2,1,5]=>{{1,4},{2,3},{5}}=>[4,3,2,1,5]=>[1,1,1,1,0,0,0,0,1,0] [4,3,2,5,1]=>{{1,4,5},{2,3}}=>[4,3,2,5,1]=>[1,1,1,1,0,0,0,1,0,0] [4,3,5,1,2]=>{{1,4},{2,3,5}}=>[4,3,5,1,2]=>[1,1,1,1,0,0,1,0,0,0] [4,3,5,2,1]=>{{1,4},{2,3,5}}=>[4,3,5,1,2]=>[1,1,1,1,0,0,1,0,0,0] [4,5,1,2,3]=>{{1,4},{2,5},{3}}=>[4,5,3,1,2]=>[1,1,1,1,0,1,0,0,0,0] [4,5,1,3,2]=>{{1,4},{2,5},{3}}=>[4,5,3,1,2]=>[1,1,1,1,0,1,0,0,0,0] [4,5,2,1,3]=>{{1,4},{2,5},{3}}=>[4,5,3,1,2]=>[1,1,1,1,0,1,0,0,0,0] [4,5,2,3,1]=>{{1,4},{2,5},{3}}=>[4,5,3,1,2]=>[1,1,1,1,0,1,0,0,0,0] [4,5,3,1,2]=>{{1,4},{2,5},{3}}=>[4,5,3,1,2]=>[1,1,1,1,0,1,0,0,0,0] [4,5,3,2,1]=>{{1,4},{2,5},{3}}=>[4,5,3,1,2]=>[1,1,1,1,0,1,0,0,0,0] [5,1,2,3,4]=>{{1,5},{2},{3},{4}}=>[5,2,3,4,1]=>[1,1,1,1,1,0,0,0,0,0] [5,1,2,4,3]=>{{1,5},{2},{3},{4}}=>[5,2,3,4,1]=>[1,1,1,1,1,0,0,0,0,0] [5,1,3,2,4]=>{{1,5},{2},{3},{4}}=>[5,2,3,4,1]=>[1,1,1,1,1,0,0,0,0,0] [5,1,3,4,2]=>{{1,5},{2},{3},{4}}=>[5,2,3,4,1]=>[1,1,1,1,1,0,0,0,0,0] [5,1,4,2,3]=>{{1,5},{2},{3,4}}=>[5,2,4,3,1]=>[1,1,1,1,1,0,0,0,0,0] [5,1,4,3,2]=>{{1,5},{2},{3,4}}=>[5,2,4,3,1]=>[1,1,1,1,1,0,0,0,0,0] [5,2,1,3,4]=>{{1,5},{2},{3},{4}}=>[5,2,3,4,1]=>[1,1,1,1,1,0,0,0,0,0] [5,2,1,4,3]=>{{1,5},{2},{3},{4}}=>[5,2,3,4,1]=>[1,1,1,1,1,0,0,0,0,0] [5,2,3,1,4]=>{{1,5},{2},{3},{4}}=>[5,2,3,4,1]=>[1,1,1,1,1,0,0,0,0,0] [5,2,3,4,1]=>{{1,5},{2},{3},{4}}=>[5,2,3,4,1]=>[1,1,1,1,1,0,0,0,0,0] [5,2,4,1,3]=>{{1,5},{2},{3,4}}=>[5,2,4,3,1]=>[1,1,1,1,1,0,0,0,0,0] [5,2,4,3,1]=>{{1,5},{2},{3,4}}=>[5,2,4,3,1]=>[1,1,1,1,1,0,0,0,0,0] [5,3,1,2,4]=>{{1,5},{2,3},{4}}=>[5,3,2,4,1]=>[1,1,1,1,1,0,0,0,0,0] [5,3,1,4,2]=>{{1,5},{2,3},{4}}=>[5,3,2,4,1]=>[1,1,1,1,1,0,0,0,0,0] [5,3,2,1,4]=>{{1,5},{2,3},{4}}=>[5,3,2,4,1]=>[1,1,1,1,1,0,0,0,0,0] [5,3,2,4,1]=>{{1,5},{2,3},{4}}=>[5,3,2,4,1]=>[1,1,1,1,1,0,0,0,0,0] [5,3,4,1,2]=>{{1,5},{2,3,4}}=>[5,3,4,2,1]=>[1,1,1,1,1,0,0,0,0,0] [5,3,4,2,1]=>{{1,5},{2,3,4}}=>[5,3,4,2,1]=>[1,1,1,1,1,0,0,0,0,0] [5,4,1,2,3]=>{{1,5},{2,4},{3}}=>[5,4,3,2,1]=>[1,1,1,1,1,0,0,0,0,0] [5,4,1,3,2]=>{{1,5},{2,4},{3}}=>[5,4,3,2,1]=>[1,1,1,1,1,0,0,0,0,0] [5,4,2,1,3]=>{{1,5},{2,4},{3}}=>[5,4,3,2,1]=>[1,1,1,1,1,0,0,0,0,0] [5,4,2,3,1]=>{{1,5},{2,4},{3}}=>[5,4,3,2,1]=>[1,1,1,1,1,0,0,0,0,0] [5,4,3,1,2]=>{{1,5},{2,4},{3}}=>[5,4,3,2,1]=>[1,1,1,1,1,0,0,0,0,0] [5,4,3,2,1]=>{{1,5},{2,4},{3}}=>[5,4,3,2,1]=>[1,1,1,1,1,0,0,0,0,0] [1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>[1,2,3,4,5,6]=>[1,0,1,0,1,0,1,0,1,0,1,0] [1,2,3,4,6,5]=>{{1},{2},{3},{4},{5,6}}=>[1,2,3,4,6,5]=>[1,0,1,0,1,0,1,0,1,1,0,0] [1,2,3,5,4,6]=>{{1},{2},{3},{4,5},{6}}=>[1,2,3,5,4,6]=>[1,0,1,0,1,0,1,1,0,0,1,0] [1,2,3,5,6,4]=>{{1},{2},{3},{4,5,6}}=>[1,2,3,5,6,4]=>[1,0,1,0,1,0,1,1,0,1,0,0] [1,2,3,6,4,5]=>{{1},{2},{3},{4,6},{5}}=>[1,2,3,6,5,4]=>[1,0,1,0,1,0,1,1,1,0,0,0] [1,2,3,6,5,4]=>{{1},{2},{3},{4,6},{5}}=>[1,2,3,6,5,4]=>[1,0,1,0,1,0,1,1,1,0,0,0] [1,2,4,3,5,6]=>{{1},{2},{3,4},{5},{6}}=>[1,2,4,3,5,6]=>[1,0,1,0,1,1,0,0,1,0,1,0] [1,2,4,3,6,5]=>{{1},{2},{3,4},{5,6}}=>[1,2,4,3,6,5]=>[1,0,1,0,1,1,0,0,1,1,0,0] [1,2,4,5,3,6]=>{{1},{2},{3,4,5},{6}}=>[1,2,4,5,3,6]=>[1,0,1,0,1,1,0,1,0,0,1,0] [1,2,4,5,6,3]=>{{1},{2},{3,4,5,6}}=>[1,2,4,5,6,3]=>[1,0,1,0,1,1,0,1,0,1,0,0] [1,2,4,6,3,5]=>{{1},{2},{3,4,6},{5}}=>[1,2,4,6,5,3]=>[1,0,1,0,1,1,0,1,1,0,0,0] [1,2,4,6,5,3]=>{{1},{2},{3,4,6},{5}}=>[1,2,4,6,5,3]=>[1,0,1,0,1,1,0,1,1,0,0,0] [1,2,5,3,4,6]=>{{1},{2},{3,5},{4},{6}}=>[1,2,5,4,3,6]=>[1,0,1,0,1,1,1,0,0,0,1,0] [1,2,5,3,6,4]=>{{1},{2},{3,5,6},{4}}=>[1,2,5,4,6,3]=>[1,0,1,0,1,1,1,0,0,1,0,0] [1,2,5,4,3,6]=>{{1},{2},{3,5},{4},{6}}=>[1,2,5,4,3,6]=>[1,0,1,0,1,1,1,0,0,0,1,0] [1,2,5,4,6,3]=>{{1},{2},{3,5,6},{4}}=>[1,2,5,4,6,3]=>[1,0,1,0,1,1,1,0,0,1,0,0] [1,2,5,6,3,4]=>{{1},{2},{3,5},{4,6}}=>[1,2,5,6,3,4]=>[1,0,1,0,1,1,1,0,1,0,0,0] [1,2,5,6,4,3]=>{{1},{2},{3,5},{4,6}}=>[1,2,5,6,3,4]=>[1,0,1,0,1,1,1,0,1,0,0,0] [1,2,6,3,4,5]=>{{1},{2},{3,6},{4},{5}}=>[1,2,6,4,5,3]=>[1,0,1,0,1,1,1,1,0,0,0,0] [1,2,6,3,5,4]=>{{1},{2},{3,6},{4},{5}}=>[1,2,6,4,5,3]=>[1,0,1,0,1,1,1,1,0,0,0,0] [1,2,6,4,3,5]=>{{1},{2},{3,6},{4},{5}}=>[1,2,6,4,5,3]=>[1,0,1,0,1,1,1,1,0,0,0,0] [1,2,6,4,5,3]=>{{1},{2},{3,6},{4},{5}}=>[1,2,6,4,5,3]=>[1,0,1,0,1,1,1,1,0,0,0,0] [1,2,6,5,3,4]=>{{1},{2},{3,6},{4,5}}=>[1,2,6,5,4,3]=>[1,0,1,0,1,1,1,1,0,0,0,0] [1,2,6,5,4,3]=>{{1},{2},{3,6},{4,5}}=>[1,2,6,5,4,3]=>[1,0,1,0,1,1,1,1,0,0,0,0] [1,3,2,4,5,6]=>{{1},{2,3},{4},{5},{6}}=>[1,3,2,4,5,6]=>[1,0,1,1,0,0,1,0,1,0,1,0] [1,3,2,4,6,5]=>{{1},{2,3},{4},{5,6}}=>[1,3,2,4,6,5]=>[1,0,1,1,0,0,1,0,1,1,0,0] [1,3,2,5,4,6]=>{{1},{2,3},{4,5},{6}}=>[1,3,2,5,4,6]=>[1,0,1,1,0,0,1,1,0,0,1,0] [1,3,2,5,6,4]=>{{1},{2,3},{4,5,6}}=>[1,3,2,5,6,4]=>[1,0,1,1,0,0,1,1,0,1,0,0] [1,3,2,6,4,5]=>{{1},{2,3},{4,6},{5}}=>[1,3,2,6,5,4]=>[1,0,1,1,0,0,1,1,1,0,0,0] [1,3,2,6,5,4]=>{{1},{2,3},{4,6},{5}}=>[1,3,2,6,5,4]=>[1,0,1,1,0,0,1,1,1,0,0,0] [1,3,4,2,5,6]=>{{1},{2,3,4},{5},{6}}=>[1,3,4,2,5,6]=>[1,0,1,1,0,1,0,0,1,0,1,0] [1,3,4,2,6,5]=>{{1},{2,3,4},{5,6}}=>[1,3,4,2,6,5]=>[1,0,1,1,0,1,0,0,1,1,0,0] [1,3,4,5,2,6]=>{{1},{2,3,4,5},{6}}=>[1,3,4,5,2,6]=>[1,0,1,1,0,1,0,1,0,0,1,0] [1,3,4,5,6,2]=>{{1},{2,3,4,5,6}}=>[1,3,4,5,6,2]=>[1,0,1,1,0,1,0,1,0,1,0,0] [1,3,4,6,2,5]=>{{1},{2,3,4,6},{5}}=>[1,3,4,6,5,2]=>[1,0,1,1,0,1,0,1,1,0,0,0] [1,3,4,6,5,2]=>{{1},{2,3,4,6},{5}}=>[1,3,4,6,5,2]=>[1,0,1,1,0,1,0,1,1,0,0,0] [1,3,5,2,4,6]=>{{1},{2,3,5},{4},{6}}=>[1,3,5,4,2,6]=>[1,0,1,1,0,1,1,0,0,0,1,0] [1,3,5,2,6,4]=>{{1},{2,3,5,6},{4}}=>[1,3,5,4,6,2]=>[1,0,1,1,0,1,1,0,0,1,0,0] [1,3,5,4,2,6]=>{{1},{2,3,5},{4},{6}}=>[1,3,5,4,2,6]=>[1,0,1,1,0,1,1,0,0,0,1,0] [1,3,5,4,6,2]=>{{1},{2,3,5,6},{4}}=>[1,3,5,4,6,2]=>[1,0,1,1,0,1,1,0,0,1,0,0] [1,3,5,6,2,4]=>{{1},{2,3,5},{4,6}}=>[1,3,5,6,2,4]=>[1,0,1,1,0,1,1,0,1,0,0,0] [1,3,5,6,4,2]=>{{1},{2,3,5},{4,6}}=>[1,3,5,6,2,4]=>[1,0,1,1,0,1,1,0,1,0,0,0] [1,3,6,2,4,5]=>{{1},{2,3,6},{4},{5}}=>[1,3,6,4,5,2]=>[1,0,1,1,0,1,1,1,0,0,0,0] [1,3,6,2,5,4]=>{{1},{2,3,6},{4},{5}}=>[1,3,6,4,5,2]=>[1,0,1,1,0,1,1,1,0,0,0,0] [1,3,6,4,2,5]=>{{1},{2,3,6},{4},{5}}=>[1,3,6,4,5,2]=>[1,0,1,1,0,1,1,1,0,0,0,0] [1,3,6,4,5,2]=>{{1},{2,3,6},{4},{5}}=>[1,3,6,4,5,2]=>[1,0,1,1,0,1,1,1,0,0,0,0] [1,3,6,5,2,4]=>{{1},{2,3,6},{4,5}}=>[1,3,6,5,4,2]=>[1,0,1,1,0,1,1,1,0,0,0,0] [1,3,6,5,4,2]=>{{1},{2,3,6},{4,5}}=>[1,3,6,5,4,2]=>[1,0,1,1,0,1,1,1,0,0,0,0] [1,4,2,3,5,6]=>{{1},{2,4},{3},{5},{6}}=>[1,4,3,2,5,6]=>[1,0,1,1,1,0,0,0,1,0,1,0] [1,4,2,3,6,5]=>{{1},{2,4},{3},{5,6}}=>[1,4,3,2,6,5]=>[1,0,1,1,1,0,0,0,1,1,0,0] [1,4,2,5,3,6]=>{{1},{2,4,5},{3},{6}}=>[1,4,3,5,2,6]=>[1,0,1,1,1,0,0,1,0,0,1,0] [1,4,2,5,6,3]=>{{1},{2,4,5,6},{3}}=>[1,4,3,5,6,2]=>[1,0,1,1,1,0,0,1,0,1,0,0] [1,4,2,6,3,5]=>{{1},{2,4,6},{3},{5}}=>[1,4,3,6,5,2]=>[1,0,1,1,1,0,0,1,1,0,0,0] [1,4,2,6,5,3]=>{{1},{2,4,6},{3},{5}}=>[1,4,3,6,5,2]=>[1,0,1,1,1,0,0,1,1,0,0,0] [1,4,3,2,5,6]=>{{1},{2,4},{3},{5},{6}}=>[1,4,3,2,5,6]=>[1,0,1,1,1,0,0,0,1,0,1,0] [1,4,3,2,6,5]=>{{1},{2,4},{3},{5,6}}=>[1,4,3,2,6,5]=>[1,0,1,1,1,0,0,0,1,1,0,0] [1,4,3,5,2,6]=>{{1},{2,4,5},{3},{6}}=>[1,4,3,5,2,6]=>[1,0,1,1,1,0,0,1,0,0,1,0] [1,4,3,5,6,2]=>{{1},{2,4,5,6},{3}}=>[1,4,3,5,6,2]=>[1,0,1,1,1,0,0,1,0,1,0,0] [1,4,3,6,2,5]=>{{1},{2,4,6},{3},{5}}=>[1,4,3,6,5,2]=>[1,0,1,1,1,0,0,1,1,0,0,0] [1,4,3,6,5,2]=>{{1},{2,4,6},{3},{5}}=>[1,4,3,6,5,2]=>[1,0,1,1,1,0,0,1,1,0,0,0] [1,4,5,2,3,6]=>{{1},{2,4},{3,5},{6}}=>[1,4,5,2,3,6]=>[1,0,1,1,1,0,1,0,0,0,1,0] [1,4,5,2,6,3]=>{{1},{2,4},{3,5,6}}=>[1,4,5,2,6,3]=>[1,0,1,1,1,0,1,0,0,1,0,0] [1,4,5,3,2,6]=>{{1},{2,4},{3,5},{6}}=>[1,4,5,2,3,6]=>[1,0,1,1,1,0,1,0,0,0,1,0] [1,4,5,3,6,2]=>{{1},{2,4},{3,5,6}}=>[1,4,5,2,6,3]=>[1,0,1,1,1,0,1,0,0,1,0,0] [1,4,5,6,2,3]=>{{1},{2,4,6},{3,5}}=>[1,4,5,6,3,2]=>[1,0,1,1,1,0,1,0,1,0,0,0] [1,4,5,6,3,2]=>{{1},{2,4,6},{3,5}}=>[1,4,5,6,3,2]=>[1,0,1,1,1,0,1,0,1,0,0,0] [1,4,6,2,3,5]=>{{1},{2,4},{3,6},{5}}=>[1,4,6,2,5,3]=>[1,0,1,1,1,0,1,1,0,0,0,0] [1,4,6,2,5,3]=>{{1},{2,4},{3,6},{5}}=>[1,4,6,2,5,3]=>[1,0,1,1,1,0,1,1,0,0,0,0] [1,4,6,3,2,5]=>{{1},{2,4},{3,6},{5}}=>[1,4,6,2,5,3]=>[1,0,1,1,1,0,1,1,0,0,0,0] [1,4,6,3,5,2]=>{{1},{2,4},{3,6},{5}}=>[1,4,6,2,5,3]=>[1,0,1,1,1,0,1,1,0,0,0,0] [1,4,6,5,2,3]=>{{1},{2,4,5},{3,6}}=>[1,4,6,5,2,3]=>[1,0,1,1,1,0,1,1,0,0,0,0] [1,4,6,5,3,2]=>{{1},{2,4,5},{3,6}}=>[1,4,6,5,2,3]=>[1,0,1,1,1,0,1,1,0,0,0,0] [1,5,2,3,4,6]=>{{1},{2,5},{3},{4},{6}}=>[1,5,3,4,2,6]=>[1,0,1,1,1,1,0,0,0,0,1,0] [1,5,2,3,6,4]=>{{1},{2,5,6},{3},{4}}=>[1,5,3,4,6,2]=>[1,0,1,1,1,1,0,0,0,1,0,0] [1,5,2,4,3,6]=>{{1},{2,5},{3},{4},{6}}=>[1,5,3,4,2,6]=>[1,0,1,1,1,1,0,0,0,0,1,0] [1,5,2,4,6,3]=>{{1},{2,5,6},{3},{4}}=>[1,5,3,4,6,2]=>[1,0,1,1,1,1,0,0,0,1,0,0] [1,5,2,6,3,4]=>{{1},{2,5},{3},{4,6}}=>[1,5,3,6,2,4]=>[1,0,1,1,1,1,0,0,1,0,0,0] [1,5,2,6,4,3]=>{{1},{2,5},{3},{4,6}}=>[1,5,3,6,2,4]=>[1,0,1,1,1,1,0,0,1,0,0,0] [1,5,3,2,4,6]=>{{1},{2,5},{3},{4},{6}}=>[1,5,3,4,2,6]=>[1,0,1,1,1,1,0,0,0,0,1,0] [1,5,3,2,6,4]=>{{1},{2,5,6},{3},{4}}=>[1,5,3,4,6,2]=>[1,0,1,1,1,1,0,0,0,1,0,0] [1,5,3,4,2,6]=>{{1},{2,5},{3},{4},{6}}=>[1,5,3,4,2,6]=>[1,0,1,1,1,1,0,0,0,0,1,0] [1,5,3,4,6,2]=>{{1},{2,5,6},{3},{4}}=>[1,5,3,4,6,2]=>[1,0,1,1,1,1,0,0,0,1,0,0] [1,5,3,6,2,4]=>{{1},{2,5},{3},{4,6}}=>[1,5,3,6,2,4]=>[1,0,1,1,1,1,0,0,1,0,0,0] [1,5,3,6,4,2]=>{{1},{2,5},{3},{4,6}}=>[1,5,3,6,2,4]=>[1,0,1,1,1,1,0,0,1,0,0,0] [1,5,4,2,3,6]=>{{1},{2,5},{3,4},{6}}=>[1,5,4,3,2,6]=>[1,0,1,1,1,1,0,0,0,0,1,0] [1,5,4,2,6,3]=>{{1},{2,5,6},{3,4}}=>[1,5,4,3,6,2]=>[1,0,1,1,1,1,0,0,0,1,0,0] [1,5,4,3,2,6]=>{{1},{2,5},{3,4},{6}}=>[1,5,4,3,2,6]=>[1,0,1,1,1,1,0,0,0,0,1,0] [1,5,4,3,6,2]=>{{1},{2,5,6},{3,4}}=>[1,5,4,3,6,2]=>[1,0,1,1,1,1,0,0,0,1,0,0] [1,5,4,6,2,3]=>{{1},{2,5},{3,4,6}}=>[1,5,4,6,2,3]=>[1,0,1,1,1,1,0,0,1,0,0,0] [1,5,4,6,3,2]=>{{1},{2,5},{3,4,6}}=>[1,5,4,6,2,3]=>[1,0,1,1,1,1,0,0,1,0,0,0] [1,5,6,2,3,4]=>{{1},{2,5},{3,6},{4}}=>[1,5,6,4,2,3]=>[1,0,1,1,1,1,0,1,0,0,0,0] [1,5,6,2,4,3]=>{{1},{2,5},{3,6},{4}}=>[1,5,6,4,2,3]=>[1,0,1,1,1,1,0,1,0,0,0,0] [1,5,6,3,2,4]=>{{1},{2,5},{3,6},{4}}=>[1,5,6,4,2,3]=>[1,0,1,1,1,1,0,1,0,0,0,0] [1,5,6,3,4,2]=>{{1},{2,5},{3,6},{4}}=>[1,5,6,4,2,3]=>[1,0,1,1,1,1,0,1,0,0,0,0] [1,5,6,4,2,3]=>{{1},{2,5},{3,6},{4}}=>[1,5,6,4,2,3]=>[1,0,1,1,1,1,0,1,0,0,0,0] [1,5,6,4,3,2]=>{{1},{2,5},{3,6},{4}}=>[1,5,6,4,2,3]=>[1,0,1,1,1,1,0,1,0,0,0,0] [1,6,2,3,4,5]=>{{1},{2,6},{3},{4},{5}}=>[1,6,3,4,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0] [1,6,2,3,5,4]=>{{1},{2,6},{3},{4},{5}}=>[1,6,3,4,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0] [1,6,2,4,3,5]=>{{1},{2,6},{3},{4},{5}}=>[1,6,3,4,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0] [1,6,2,4,5,3]=>{{1},{2,6},{3},{4},{5}}=>[1,6,3,4,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0] [1,6,2,5,3,4]=>{{1},{2,6},{3},{4,5}}=>[1,6,3,5,4,2]=>[1,0,1,1,1,1,1,0,0,0,0,0] [1,6,2,5,4,3]=>{{1},{2,6},{3},{4,5}}=>[1,6,3,5,4,2]=>[1,0,1,1,1,1,1,0,0,0,0,0] [1,6,3,2,4,5]=>{{1},{2,6},{3},{4},{5}}=>[1,6,3,4,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0] [1,6,3,2,5,4]=>{{1},{2,6},{3},{4},{5}}=>[1,6,3,4,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0] [1,6,3,4,2,5]=>{{1},{2,6},{3},{4},{5}}=>[1,6,3,4,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0] [1,6,3,4,5,2]=>{{1},{2,6},{3},{4},{5}}=>[1,6,3,4,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0] [1,6,3,5,2,4]=>{{1},{2,6},{3},{4,5}}=>[1,6,3,5,4,2]=>[1,0,1,1,1,1,1,0,0,0,0,0] [1,6,3,5,4,2]=>{{1},{2,6},{3},{4,5}}=>[1,6,3,5,4,2]=>[1,0,1,1,1,1,1,0,0,0,0,0] [1,6,4,2,3,5]=>{{1},{2,6},{3,4},{5}}=>[1,6,4,3,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0] [1,6,4,2,5,3]=>{{1},{2,6},{3,4},{5}}=>[1,6,4,3,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0] [1,6,4,3,2,5]=>{{1},{2,6},{3,4},{5}}=>[1,6,4,3,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0] [1,6,4,3,5,2]=>{{1},{2,6},{3,4},{5}}=>[1,6,4,3,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0] [1,6,4,5,2,3]=>{{1},{2,6},{3,4,5}}=>[1,6,4,5,3,2]=>[1,0,1,1,1,1,1,0,0,0,0,0] [1,6,4,5,3,2]=>{{1},{2,6},{3,4,5}}=>[1,6,4,5,3,2]=>[1,0,1,1,1,1,1,0,0,0,0,0] [1,6,5,2,3,4]=>{{1},{2,6},{3,5},{4}}=>[1,6,5,4,3,2]=>[1,0,1,1,1,1,1,0,0,0,0,0] [1,6,5,2,4,3]=>{{1},{2,6},{3,5},{4}}=>[1,6,5,4,3,2]=>[1,0,1,1,1,1,1,0,0,0,0,0] [1,6,5,3,2,4]=>{{1},{2,6},{3,5},{4}}=>[1,6,5,4,3,2]=>[1,0,1,1,1,1,1,0,0,0,0,0] [1,6,5,3,4,2]=>{{1},{2,6},{3,5},{4}}=>[1,6,5,4,3,2]=>[1,0,1,1,1,1,1,0,0,0,0,0] [1,6,5,4,2,3]=>{{1},{2,6},{3,5},{4}}=>[1,6,5,4,3,2]=>[1,0,1,1,1,1,1,0,0,0,0,0] [1,6,5,4,3,2]=>{{1},{2,6},{3,5},{4}}=>[1,6,5,4,3,2]=>[1,0,1,1,1,1,1,0,0,0,0,0] [2,1,3,4,5,6]=>{{1,2},{3},{4},{5},{6}}=>[2,1,3,4,5,6]=>[1,1,0,0,1,0,1,0,1,0,1,0] [2,1,3,4,6,5]=>{{1,2},{3},{4},{5,6}}=>[2,1,3,4,6,5]=>[1,1,0,0,1,0,1,0,1,1,0,0] [2,1,3,5,4,6]=>{{1,2},{3},{4,5},{6}}=>[2,1,3,5,4,6]=>[1,1,0,0,1,0,1,1,0,0,1,0] [2,1,3,5,6,4]=>{{1,2},{3},{4,5,6}}=>[2,1,3,5,6,4]=>[1,1,0,0,1,0,1,1,0,1,0,0] [2,1,3,6,4,5]=>{{1,2},{3},{4,6},{5}}=>[2,1,3,6,5,4]=>[1,1,0,0,1,0,1,1,1,0,0,0] [2,1,3,6,5,4]=>{{1,2},{3},{4,6},{5}}=>[2,1,3,6,5,4]=>[1,1,0,0,1,0,1,1,1,0,0,0] [2,1,4,3,5,6]=>{{1,2},{3,4},{5},{6}}=>[2,1,4,3,5,6]=>[1,1,0,0,1,1,0,0,1,0,1,0] [2,1,4,3,6,5]=>{{1,2},{3,4},{5,6}}=>[2,1,4,3,6,5]=>[1,1,0,0,1,1,0,0,1,1,0,0] [2,1,4,5,3,6]=>{{1,2},{3,4,5},{6}}=>[2,1,4,5,3,6]=>[1,1,0,0,1,1,0,1,0,0,1,0] [2,1,4,5,6,3]=>{{1,2},{3,4,5,6}}=>[2,1,4,5,6,3]=>[1,1,0,0,1,1,0,1,0,1,0,0] [2,1,4,6,3,5]=>{{1,2},{3,4,6},{5}}=>[2,1,4,6,5,3]=>[1,1,0,0,1,1,0,1,1,0,0,0] [2,1,4,6,5,3]=>{{1,2},{3,4,6},{5}}=>[2,1,4,6,5,3]=>[1,1,0,0,1,1,0,1,1,0,0,0] [2,1,5,3,4,6]=>{{1,2},{3,5},{4},{6}}=>[2,1,5,4,3,6]=>[1,1,0,0,1,1,1,0,0,0,1,0] [2,1,5,3,6,4]=>{{1,2},{3,5,6},{4}}=>[2,1,5,4,6,3]=>[1,1,0,0,1,1,1,0,0,1,0,0] [2,1,5,4,3,6]=>{{1,2},{3,5},{4},{6}}=>[2,1,5,4,3,6]=>[1,1,0,0,1,1,1,0,0,0,1,0] [2,1,5,4,6,3]=>{{1,2},{3,5,6},{4}}=>[2,1,5,4,6,3]=>[1,1,0,0,1,1,1,0,0,1,0,0] [2,1,5,6,3,4]=>{{1,2},{3,5},{4,6}}=>[2,1,5,6,3,4]=>[1,1,0,0,1,1,1,0,1,0,0,0] [2,1,5,6,4,3]=>{{1,2},{3,5},{4,6}}=>[2,1,5,6,3,4]=>[1,1,0,0,1,1,1,0,1,0,0,0] [2,1,6,3,4,5]=>{{1,2},{3,6},{4},{5}}=>[2,1,6,4,5,3]=>[1,1,0,0,1,1,1,1,0,0,0,0] [2,1,6,3,5,4]=>{{1,2},{3,6},{4},{5}}=>[2,1,6,4,5,3]=>[1,1,0,0,1,1,1,1,0,0,0,0] [2,1,6,4,3,5]=>{{1,2},{3,6},{4},{5}}=>[2,1,6,4,5,3]=>[1,1,0,0,1,1,1,1,0,0,0,0] [2,1,6,4,5,3]=>{{1,2},{3,6},{4},{5}}=>[2,1,6,4,5,3]=>[1,1,0,0,1,1,1,1,0,0,0,0] [2,1,6,5,3,4]=>{{1,2},{3,6},{4,5}}=>[2,1,6,5,4,3]=>[1,1,0,0,1,1,1,1,0,0,0,0] [2,1,6,5,4,3]=>{{1,2},{3,6},{4,5}}=>[2,1,6,5,4,3]=>[1,1,0,0,1,1,1,1,0,0,0,0] [2,3,1,4,5,6]=>{{1,2,3},{4},{5},{6}}=>[2,3,1,4,5,6]=>[1,1,0,1,0,0,1,0,1,0,1,0] [2,3,1,4,6,5]=>{{1,2,3},{4},{5,6}}=>[2,3,1,4,6,5]=>[1,1,0,1,0,0,1,0,1,1,0,0] [2,3,1,5,4,6]=>{{1,2,3},{4,5},{6}}=>[2,3,1,5,4,6]=>[1,1,0,1,0,0,1,1,0,0,1,0] [2,3,1,5,6,4]=>{{1,2,3},{4,5,6}}=>[2,3,1,5,6,4]=>[1,1,0,1,0,0,1,1,0,1,0,0] [2,3,1,6,4,5]=>{{1,2,3},{4,6},{5}}=>[2,3,1,6,5,4]=>[1,1,0,1,0,0,1,1,1,0,0,0] [2,3,1,6,5,4]=>{{1,2,3},{4,6},{5}}=>[2,3,1,6,5,4]=>[1,1,0,1,0,0,1,1,1,0,0,0] [2,3,4,1,5,6]=>{{1,2,3,4},{5},{6}}=>[2,3,4,1,5,6]=>[1,1,0,1,0,1,0,0,1,0,1,0] [2,3,4,1,6,5]=>{{1,2,3,4},{5,6}}=>[2,3,4,1,6,5]=>[1,1,0,1,0,1,0,0,1,1,0,0] [2,3,4,5,1,6]=>{{1,2,3,4,5},{6}}=>[2,3,4,5,1,6]=>[1,1,0,1,0,1,0,1,0,0,1,0] [2,3,4,5,6,1]=>{{1,2,3,4,5,6}}=>[2,3,4,5,6,1]=>[1,1,0,1,0,1,0,1,0,1,0,0] [2,3,4,6,1,5]=>{{1,2,3,4,6},{5}}=>[2,3,4,6,5,1]=>[1,1,0,1,0,1,0,1,1,0,0,0] [2,3,4,6,5,1]=>{{1,2,3,4,6},{5}}=>[2,3,4,6,5,1]=>[1,1,0,1,0,1,0,1,1,0,0,0] [2,3,5,1,4,6]=>{{1,2,3,5},{4},{6}}=>[2,3,5,4,1,6]=>[1,1,0,1,0,1,1,0,0,0,1,0] [2,3,5,1,6,4]=>{{1,2,3,5,6},{4}}=>[2,3,5,4,6,1]=>[1,1,0,1,0,1,1,0,0,1,0,0] [2,3,5,4,1,6]=>{{1,2,3,5},{4},{6}}=>[2,3,5,4,1,6]=>[1,1,0,1,0,1,1,0,0,0,1,0] [2,3,5,4,6,1]=>{{1,2,3,5,6},{4}}=>[2,3,5,4,6,1]=>[1,1,0,1,0,1,1,0,0,1,0,0] [2,3,5,6,1,4]=>{{1,2,3,5},{4,6}}=>[2,3,5,6,1,4]=>[1,1,0,1,0,1,1,0,1,0,0,0] [2,3,5,6,4,1]=>{{1,2,3,5},{4,6}}=>[2,3,5,6,1,4]=>[1,1,0,1,0,1,1,0,1,0,0,0] [2,3,6,1,4,5]=>{{1,2,3,6},{4},{5}}=>[2,3,6,4,5,1]=>[1,1,0,1,0,1,1,1,0,0,0,0] [2,3,6,1,5,4]=>{{1,2,3,6},{4},{5}}=>[2,3,6,4,5,1]=>[1,1,0,1,0,1,1,1,0,0,0,0] [2,3,6,4,1,5]=>{{1,2,3,6},{4},{5}}=>[2,3,6,4,5,1]=>[1,1,0,1,0,1,1,1,0,0,0,0] [2,3,6,4,5,1]=>{{1,2,3,6},{4},{5}}=>[2,3,6,4,5,1]=>[1,1,0,1,0,1,1,1,0,0,0,0] [2,3,6,5,1,4]=>{{1,2,3,6},{4,5}}=>[2,3,6,5,4,1]=>[1,1,0,1,0,1,1,1,0,0,0,0] [2,3,6,5,4,1]=>{{1,2,3,6},{4,5}}=>[2,3,6,5,4,1]=>[1,1,0,1,0,1,1,1,0,0,0,0] [2,4,1,3,5,6]=>{{1,2,4},{3},{5},{6}}=>[2,4,3,1,5,6]=>[1,1,0,1,1,0,0,0,1,0,1,0] [2,4,1,3,6,5]=>{{1,2,4},{3},{5,6}}=>[2,4,3,1,6,5]=>[1,1,0,1,1,0,0,0,1,1,0,0] [2,4,1,5,3,6]=>{{1,2,4,5},{3},{6}}=>[2,4,3,5,1,6]=>[1,1,0,1,1,0,0,1,0,0,1,0] [2,4,1,5,6,3]=>{{1,2,4,5,6},{3}}=>[2,4,3,5,6,1]=>[1,1,0,1,1,0,0,1,0,1,0,0] [2,4,1,6,3,5]=>{{1,2,4,6},{3},{5}}=>[2,4,3,6,5,1]=>[1,1,0,1,1,0,0,1,1,0,0,0] [2,4,1,6,5,3]=>{{1,2,4,6},{3},{5}}=>[2,4,3,6,5,1]=>[1,1,0,1,1,0,0,1,1,0,0,0] [2,4,3,1,5,6]=>{{1,2,4},{3},{5},{6}}=>[2,4,3,1,5,6]=>[1,1,0,1,1,0,0,0,1,0,1,0] [2,4,3,1,6,5]=>{{1,2,4},{3},{5,6}}=>[2,4,3,1,6,5]=>[1,1,0,1,1,0,0,0,1,1,0,0] [2,4,3,5,1,6]=>{{1,2,4,5},{3},{6}}=>[2,4,3,5,1,6]=>[1,1,0,1,1,0,0,1,0,0,1,0] [2,4,3,5,6,1]=>{{1,2,4,5,6},{3}}=>[2,4,3,5,6,1]=>[1,1,0,1,1,0,0,1,0,1,0,0] [2,4,3,6,1,5]=>{{1,2,4,6},{3},{5}}=>[2,4,3,6,5,1]=>[1,1,0,1,1,0,0,1,1,0,0,0] [2,4,3,6,5,1]=>{{1,2,4,6},{3},{5}}=>[2,4,3,6,5,1]=>[1,1,0,1,1,0,0,1,1,0,0,0] [2,4,5,1,3,6]=>{{1,2,4},{3,5},{6}}=>[2,4,5,1,3,6]=>[1,1,0,1,1,0,1,0,0,0,1,0] [2,4,5,1,6,3]=>{{1,2,4},{3,5,6}}=>[2,4,5,1,6,3]=>[1,1,0,1,1,0,1,0,0,1,0,0] [2,4,5,3,1,6]=>{{1,2,4},{3,5},{6}}=>[2,4,5,1,3,6]=>[1,1,0,1,1,0,1,0,0,0,1,0] [2,4,5,3,6,1]=>{{1,2,4},{3,5,6}}=>[2,4,5,1,6,3]=>[1,1,0,1,1,0,1,0,0,1,0,0] [2,4,5,6,1,3]=>{{1,2,4,6},{3,5}}=>[2,4,5,6,3,1]=>[1,1,0,1,1,0,1,0,1,0,0,0] [2,4,5,6,3,1]=>{{1,2,4,6},{3,5}}=>[2,4,5,6,3,1]=>[1,1,0,1,1,0,1,0,1,0,0,0] [2,4,6,1,3,5]=>{{1,2,4},{3,6},{5}}=>[2,4,6,1,5,3]=>[1,1,0,1,1,0,1,1,0,0,0,0] [2,4,6,1,5,3]=>{{1,2,4},{3,6},{5}}=>[2,4,6,1,5,3]=>[1,1,0,1,1,0,1,1,0,0,0,0] [2,4,6,3,1,5]=>{{1,2,4},{3,6},{5}}=>[2,4,6,1,5,3]=>[1,1,0,1,1,0,1,1,0,0,0,0] [2,4,6,3,5,1]=>{{1,2,4},{3,6},{5}}=>[2,4,6,1,5,3]=>[1,1,0,1,1,0,1,1,0,0,0,0] [2,4,6,5,1,3]=>{{1,2,4,5},{3,6}}=>[2,4,6,5,1,3]=>[1,1,0,1,1,0,1,1,0,0,0,0] [2,4,6,5,3,1]=>{{1,2,4,5},{3,6}}=>[2,4,6,5,1,3]=>[1,1,0,1,1,0,1,1,0,0,0,0] [2,5,1,3,4,6]=>{{1,2,5},{3},{4},{6}}=>[2,5,3,4,1,6]=>[1,1,0,1,1,1,0,0,0,0,1,0] [2,5,1,3,6,4]=>{{1,2,5,6},{3},{4}}=>[2,5,3,4,6,1]=>[1,1,0,1,1,1,0,0,0,1,0,0] [2,5,1,4,3,6]=>{{1,2,5},{3},{4},{6}}=>[2,5,3,4,1,6]=>[1,1,0,1,1,1,0,0,0,0,1,0] [2,5,1,4,6,3]=>{{1,2,5,6},{3},{4}}=>[2,5,3,4,6,1]=>[1,1,0,1,1,1,0,0,0,1,0,0] [2,5,1,6,3,4]=>{{1,2,5},{3},{4,6}}=>[2,5,3,6,1,4]=>[1,1,0,1,1,1,0,0,1,0,0,0] [2,5,1,6,4,3]=>{{1,2,5},{3},{4,6}}=>[2,5,3,6,1,4]=>[1,1,0,1,1,1,0,0,1,0,0,0] [2,5,3,1,4,6]=>{{1,2,5},{3},{4},{6}}=>[2,5,3,4,1,6]=>[1,1,0,1,1,1,0,0,0,0,1,0] [2,5,3,1,6,4]=>{{1,2,5,6},{3},{4}}=>[2,5,3,4,6,1]=>[1,1,0,1,1,1,0,0,0,1,0,0] [2,5,3,4,1,6]=>{{1,2,5},{3},{4},{6}}=>[2,5,3,4,1,6]=>[1,1,0,1,1,1,0,0,0,0,1,0] [2,5,3,4,6,1]=>{{1,2,5,6},{3},{4}}=>[2,5,3,4,6,1]=>[1,1,0,1,1,1,0,0,0,1,0,0] [2,5,3,6,1,4]=>{{1,2,5},{3},{4,6}}=>[2,5,3,6,1,4]=>[1,1,0,1,1,1,0,0,1,0,0,0] [2,5,3,6,4,1]=>{{1,2,5},{3},{4,6}}=>[2,5,3,6,1,4]=>[1,1,0,1,1,1,0,0,1,0,0,0] [2,5,4,1,3,6]=>{{1,2,5},{3,4},{6}}=>[2,5,4,3,1,6]=>[1,1,0,1,1,1,0,0,0,0,1,0] [2,5,4,1,6,3]=>{{1,2,5,6},{3,4}}=>[2,5,4,3,6,1]=>[1,1,0,1,1,1,0,0,0,1,0,0] [2,5,4,3,1,6]=>{{1,2,5},{3,4},{6}}=>[2,5,4,3,1,6]=>[1,1,0,1,1,1,0,0,0,0,1,0] [2,5,4,3,6,1]=>{{1,2,5,6},{3,4}}=>[2,5,4,3,6,1]=>[1,1,0,1,1,1,0,0,0,1,0,0] [2,5,4,6,1,3]=>{{1,2,5},{3,4,6}}=>[2,5,4,6,1,3]=>[1,1,0,1,1,1,0,0,1,0,0,0] [2,5,4,6,3,1]=>{{1,2,5},{3,4,6}}=>[2,5,4,6,1,3]=>[1,1,0,1,1,1,0,0,1,0,0,0] [2,5,6,1,3,4]=>{{1,2,5},{3,6},{4}}=>[2,5,6,4,1,3]=>[1,1,0,1,1,1,0,1,0,0,0,0] [2,5,6,1,4,3]=>{{1,2,5},{3,6},{4}}=>[2,5,6,4,1,3]=>[1,1,0,1,1,1,0,1,0,0,0,0] [2,5,6,3,1,4]=>{{1,2,5},{3,6},{4}}=>[2,5,6,4,1,3]=>[1,1,0,1,1,1,0,1,0,0,0,0] [2,5,6,3,4,1]=>{{1,2,5},{3,6},{4}}=>[2,5,6,4,1,3]=>[1,1,0,1,1,1,0,1,0,0,0,0] [2,5,6,4,1,3]=>{{1,2,5},{3,6},{4}}=>[2,5,6,4,1,3]=>[1,1,0,1,1,1,0,1,0,0,0,0] [2,5,6,4,3,1]=>{{1,2,5},{3,6},{4}}=>[2,5,6,4,1,3]=>[1,1,0,1,1,1,0,1,0,0,0,0] [2,6,1,3,4,5]=>{{1,2,6},{3},{4},{5}}=>[2,6,3,4,5,1]=>[1,1,0,1,1,1,1,0,0,0,0,0] [2,6,1,3,5,4]=>{{1,2,6},{3},{4},{5}}=>[2,6,3,4,5,1]=>[1,1,0,1,1,1,1,0,0,0,0,0] [2,6,1,4,3,5]=>{{1,2,6},{3},{4},{5}}=>[2,6,3,4,5,1]=>[1,1,0,1,1,1,1,0,0,0,0,0] [2,6,1,4,5,3]=>{{1,2,6},{3},{4},{5}}=>[2,6,3,4,5,1]=>[1,1,0,1,1,1,1,0,0,0,0,0] [2,6,1,5,3,4]=>{{1,2,6},{3},{4,5}}=>[2,6,3,5,4,1]=>[1,1,0,1,1,1,1,0,0,0,0,0] [2,6,1,5,4,3]=>{{1,2,6},{3},{4,5}}=>[2,6,3,5,4,1]=>[1,1,0,1,1,1,1,0,0,0,0,0] [2,6,3,1,4,5]=>{{1,2,6},{3},{4},{5}}=>[2,6,3,4,5,1]=>[1,1,0,1,1,1,1,0,0,0,0,0] [2,6,3,1,5,4]=>{{1,2,6},{3},{4},{5}}=>[2,6,3,4,5,1]=>[1,1,0,1,1,1,1,0,0,0,0,0] [2,6,3,4,1,5]=>{{1,2,6},{3},{4},{5}}=>[2,6,3,4,5,1]=>[1,1,0,1,1,1,1,0,0,0,0,0] [2,6,3,4,5,1]=>{{1,2,6},{3},{4},{5}}=>[2,6,3,4,5,1]=>[1,1,0,1,1,1,1,0,0,0,0,0] [2,6,3,5,1,4]=>{{1,2,6},{3},{4,5}}=>[2,6,3,5,4,1]=>[1,1,0,1,1,1,1,0,0,0,0,0] [2,6,3,5,4,1]=>{{1,2,6},{3},{4,5}}=>[2,6,3,5,4,1]=>[1,1,0,1,1,1,1,0,0,0,0,0] [2,6,4,1,3,5]=>{{1,2,6},{3,4},{5}}=>[2,6,4,3,5,1]=>[1,1,0,1,1,1,1,0,0,0,0,0] [2,6,4,1,5,3]=>{{1,2,6},{3,4},{5}}=>[2,6,4,3,5,1]=>[1,1,0,1,1,1,1,0,0,0,0,0] [2,6,4,3,1,5]=>{{1,2,6},{3,4},{5}}=>[2,6,4,3,5,1]=>[1,1,0,1,1,1,1,0,0,0,0,0] [2,6,4,3,5,1]=>{{1,2,6},{3,4},{5}}=>[2,6,4,3,5,1]=>[1,1,0,1,1,1,1,0,0,0,0,0] [2,6,4,5,1,3]=>{{1,2,6},{3,4,5}}=>[2,6,4,5,3,1]=>[1,1,0,1,1,1,1,0,0,0,0,0] [2,6,4,5,3,1]=>{{1,2,6},{3,4,5}}=>[2,6,4,5,3,1]=>[1,1,0,1,1,1,1,0,0,0,0,0] [2,6,5,1,3,4]=>{{1,2,6},{3,5},{4}}=>[2,6,5,4,3,1]=>[1,1,0,1,1,1,1,0,0,0,0,0] [2,6,5,1,4,3]=>{{1,2,6},{3,5},{4}}=>[2,6,5,4,3,1]=>[1,1,0,1,1,1,1,0,0,0,0,0] [2,6,5,3,1,4]=>{{1,2,6},{3,5},{4}}=>[2,6,5,4,3,1]=>[1,1,0,1,1,1,1,0,0,0,0,0] [2,6,5,3,4,1]=>{{1,2,6},{3,5},{4}}=>[2,6,5,4,3,1]=>[1,1,0,1,1,1,1,0,0,0,0,0] [2,6,5,4,1,3]=>{{1,2,6},{3,5},{4}}=>[2,6,5,4,3,1]=>[1,1,0,1,1,1,1,0,0,0,0,0] [2,6,5,4,3,1]=>{{1,2,6},{3,5},{4}}=>[2,6,5,4,3,1]=>[1,1,0,1,1,1,1,0,0,0,0,0] [3,1,2,4,5,6]=>{{1,3},{2},{4},{5},{6}}=>[3,2,1,4,5,6]=>[1,1,1,0,0,0,1,0,1,0,1,0] [3,1,2,4,6,5]=>{{1,3},{2},{4},{5,6}}=>[3,2,1,4,6,5]=>[1,1,1,0,0,0,1,0,1,1,0,0] [3,1,2,5,4,6]=>{{1,3},{2},{4,5},{6}}=>[3,2,1,5,4,6]=>[1,1,1,0,0,0,1,1,0,0,1,0] [3,1,2,5,6,4]=>{{1,3},{2},{4,5,6}}=>[3,2,1,5,6,4]=>[1,1,1,0,0,0,1,1,0,1,0,0] [3,1,2,6,4,5]=>{{1,3},{2},{4,6},{5}}=>[3,2,1,6,5,4]=>[1,1,1,0,0,0,1,1,1,0,0,0] [3,1,2,6,5,4]=>{{1,3},{2},{4,6},{5}}=>[3,2,1,6,5,4]=>[1,1,1,0,0,0,1,1,1,0,0,0] [3,1,4,2,5,6]=>{{1,3,4},{2},{5},{6}}=>[3,2,4,1,5,6]=>[1,1,1,0,0,1,0,0,1,0,1,0] [3,1,4,2,6,5]=>{{1,3,4},{2},{5,6}}=>[3,2,4,1,6,5]=>[1,1,1,0,0,1,0,0,1,1,0,0] [3,1,4,5,2,6]=>{{1,3,4,5},{2},{6}}=>[3,2,4,5,1,6]=>[1,1,1,0,0,1,0,1,0,0,1,0] [3,1,4,5,6,2]=>{{1,3,4,5,6},{2}}=>[3,2,4,5,6,1]=>[1,1,1,0,0,1,0,1,0,1,0,0] [3,1,4,6,2,5]=>{{1,3,4,6},{2},{5}}=>[3,2,4,6,5,1]=>[1,1,1,0,0,1,0,1,1,0,0,0] [3,1,4,6,5,2]=>{{1,3,4,6},{2},{5}}=>[3,2,4,6,5,1]=>[1,1,1,0,0,1,0,1,1,0,0,0] [3,1,5,2,4,6]=>{{1,3,5},{2},{4},{6}}=>[3,2,5,4,1,6]=>[1,1,1,0,0,1,1,0,0,0,1,0] [3,1,5,2,6,4]=>{{1,3,5,6},{2},{4}}=>[3,2,5,4,6,1]=>[1,1,1,0,0,1,1,0,0,1,0,0] [3,1,5,4,2,6]=>{{1,3,5},{2},{4},{6}}=>[3,2,5,4,1,6]=>[1,1,1,0,0,1,1,0,0,0,1,0] [3,1,5,4,6,2]=>{{1,3,5,6},{2},{4}}=>[3,2,5,4,6,1]=>[1,1,1,0,0,1,1,0,0,1,0,0] [3,1,5,6,2,4]=>{{1,3,5},{2},{4,6}}=>[3,2,5,6,1,4]=>[1,1,1,0,0,1,1,0,1,0,0,0] [3,1,5,6,4,2]=>{{1,3,5},{2},{4,6}}=>[3,2,5,6,1,4]=>[1,1,1,0,0,1,1,0,1,0,0,0] [3,1,6,2,4,5]=>{{1,3,6},{2},{4},{5}}=>[3,2,6,4,5,1]=>[1,1,1,0,0,1,1,1,0,0,0,0] [3,1,6,2,5,4]=>{{1,3,6},{2},{4},{5}}=>[3,2,6,4,5,1]=>[1,1,1,0,0,1,1,1,0,0,0,0] [3,1,6,4,2,5]=>{{1,3,6},{2},{4},{5}}=>[3,2,6,4,5,1]=>[1,1,1,0,0,1,1,1,0,0,0,0] [3,1,6,4,5,2]=>{{1,3,6},{2},{4},{5}}=>[3,2,6,4,5,1]=>[1,1,1,0,0,1,1,1,0,0,0,0] [3,1,6,5,2,4]=>{{1,3,6},{2},{4,5}}=>[3,2,6,5,4,1]=>[1,1,1,0,0,1,1,1,0,0,0,0] [3,1,6,5,4,2]=>{{1,3,6},{2},{4,5}}=>[3,2,6,5,4,1]=>[1,1,1,0,0,1,1,1,0,0,0,0] [3,2,1,4,5,6]=>{{1,3},{2},{4},{5},{6}}=>[3,2,1,4,5,6]=>[1,1,1,0,0,0,1,0,1,0,1,0] [3,2,1,4,6,5]=>{{1,3},{2},{4},{5,6}}=>[3,2,1,4,6,5]=>[1,1,1,0,0,0,1,0,1,1,0,0] [3,2,1,5,4,6]=>{{1,3},{2},{4,5},{6}}=>[3,2,1,5,4,6]=>[1,1,1,0,0,0,1,1,0,0,1,0] [3,2,1,5,6,4]=>{{1,3},{2},{4,5,6}}=>[3,2,1,5,6,4]=>[1,1,1,0,0,0,1,1,0,1,0,0] [3,2,1,6,4,5]=>{{1,3},{2},{4,6},{5}}=>[3,2,1,6,5,4]=>[1,1,1,0,0,0,1,1,1,0,0,0] [3,2,1,6,5,4]=>{{1,3},{2},{4,6},{5}}=>[3,2,1,6,5,4]=>[1,1,1,0,0,0,1,1,1,0,0,0] [3,2,4,1,5,6]=>{{1,3,4},{2},{5},{6}}=>[3,2,4,1,5,6]=>[1,1,1,0,0,1,0,0,1,0,1,0] [3,2,4,1,6,5]=>{{1,3,4},{2},{5,6}}=>[3,2,4,1,6,5]=>[1,1,1,0,0,1,0,0,1,1,0,0] [3,2,4,5,1,6]=>{{1,3,4,5},{2},{6}}=>[3,2,4,5,1,6]=>[1,1,1,0,0,1,0,1,0,0,1,0] [3,2,4,5,6,1]=>{{1,3,4,5,6},{2}}=>[3,2,4,5,6,1]=>[1,1,1,0,0,1,0,1,0,1,0,0] [3,2,4,6,1,5]=>{{1,3,4,6},{2},{5}}=>[3,2,4,6,5,1]=>[1,1,1,0,0,1,0,1,1,0,0,0] [3,2,4,6,5,1]=>{{1,3,4,6},{2},{5}}=>[3,2,4,6,5,1]=>[1,1,1,0,0,1,0,1,1,0,0,0] [3,2,5,1,4,6]=>{{1,3,5},{2},{4},{6}}=>[3,2,5,4,1,6]=>[1,1,1,0,0,1,1,0,0,0,1,0] [3,2,5,1,6,4]=>{{1,3,5,6},{2},{4}}=>[3,2,5,4,6,1]=>[1,1,1,0,0,1,1,0,0,1,0,0] [3,2,5,4,1,6]=>{{1,3,5},{2},{4},{6}}=>[3,2,5,4,1,6]=>[1,1,1,0,0,1,1,0,0,0,1,0] [3,2,5,4,6,1]=>{{1,3,5,6},{2},{4}}=>[3,2,5,4,6,1]=>[1,1,1,0,0,1,1,0,0,1,0,0] [3,2,5,6,1,4]=>{{1,3,5},{2},{4,6}}=>[3,2,5,6,1,4]=>[1,1,1,0,0,1,1,0,1,0,0,0] [3,2,5,6,4,1]=>{{1,3,5},{2},{4,6}}=>[3,2,5,6,1,4]=>[1,1,1,0,0,1,1,0,1,0,0,0] [3,2,6,1,4,5]=>{{1,3,6},{2},{4},{5}}=>[3,2,6,4,5,1]=>[1,1,1,0,0,1,1,1,0,0,0,0] [3,2,6,1,5,4]=>{{1,3,6},{2},{4},{5}}=>[3,2,6,4,5,1]=>[1,1,1,0,0,1,1,1,0,0,0,0] [3,2,6,4,1,5]=>{{1,3,6},{2},{4},{5}}=>[3,2,6,4,5,1]=>[1,1,1,0,0,1,1,1,0,0,0,0] [3,2,6,4,5,1]=>{{1,3,6},{2},{4},{5}}=>[3,2,6,4,5,1]=>[1,1,1,0,0,1,1,1,0,0,0,0] [3,2,6,5,1,4]=>{{1,3,6},{2},{4,5}}=>[3,2,6,5,4,1]=>[1,1,1,0,0,1,1,1,0,0,0,0] [3,2,6,5,4,1]=>{{1,3,6},{2},{4,5}}=>[3,2,6,5,4,1]=>[1,1,1,0,0,1,1,1,0,0,0,0] [3,4,1,2,5,6]=>{{1,3},{2,4},{5},{6}}=>[3,4,1,2,5,6]=>[1,1,1,0,1,0,0,0,1,0,1,0] [3,4,1,2,6,5]=>{{1,3},{2,4},{5,6}}=>[3,4,1,2,6,5]=>[1,1,1,0,1,0,0,0,1,1,0,0] [3,4,1,5,2,6]=>{{1,3},{2,4,5},{6}}=>[3,4,1,5,2,6]=>[1,1,1,0,1,0,0,1,0,0,1,0] [3,4,1,5,6,2]=>{{1,3},{2,4,5,6}}=>[3,4,1,5,6,2]=>[1,1,1,0,1,0,0,1,0,1,0,0] [3,4,1,6,2,5]=>{{1,3},{2,4,6},{5}}=>[3,4,1,6,5,2]=>[1,1,1,0,1,0,0,1,1,0,0,0] [3,4,1,6,5,2]=>{{1,3},{2,4,6},{5}}=>[3,4,1,6,5,2]=>[1,1,1,0,1,0,0,1,1,0,0,0] [3,4,2,1,5,6]=>{{1,3},{2,4},{5},{6}}=>[3,4,1,2,5,6]=>[1,1,1,0,1,0,0,0,1,0,1,0] [3,4,2,1,6,5]=>{{1,3},{2,4},{5,6}}=>[3,4,1,2,6,5]=>[1,1,1,0,1,0,0,0,1,1,0,0] [3,4,2,5,1,6]=>{{1,3},{2,4,5},{6}}=>[3,4,1,5,2,6]=>[1,1,1,0,1,0,0,1,0,0,1,0] [3,4,2,5,6,1]=>{{1,3},{2,4,5,6}}=>[3,4,1,5,6,2]=>[1,1,1,0,1,0,0,1,0,1,0,0] [3,4,2,6,1,5]=>{{1,3},{2,4,6},{5}}=>[3,4,1,6,5,2]=>[1,1,1,0,1,0,0,1,1,0,0,0] [3,4,2,6,5,1]=>{{1,3},{2,4,6},{5}}=>[3,4,1,6,5,2]=>[1,1,1,0,1,0,0,1,1,0,0,0] [3,4,5,1,2,6]=>{{1,3,5},{2,4},{6}}=>[3,4,5,2,1,6]=>[1,1,1,0,1,0,1,0,0,0,1,0] [3,4,5,1,6,2]=>{{1,3,5,6},{2,4}}=>[3,4,5,2,6,1]=>[1,1,1,0,1,0,1,0,0,1,0,0] [3,4,5,2,1,6]=>{{1,3,5},{2,4},{6}}=>[3,4,5,2,1,6]=>[1,1,1,0,1,0,1,0,0,0,1,0] [3,4,5,2,6,1]=>{{1,3,5,6},{2,4}}=>[3,4,5,2,6,1]=>[1,1,1,0,1,0,1,0,0,1,0,0] [3,4,5,6,1,2]=>{{1,3,5},{2,4,6}}=>[3,4,5,6,1,2]=>[1,1,1,0,1,0,1,0,1,0,0,0] [3,4,5,6,2,1]=>{{1,3,5},{2,4,6}}=>[3,4,5,6,1,2]=>[1,1,1,0,1,0,1,0,1,0,0,0] [3,4,6,1,2,5]=>{{1,3,6},{2,4},{5}}=>[3,4,6,2,5,1]=>[1,1,1,0,1,0,1,1,0,0,0,0] [3,4,6,1,5,2]=>{{1,3,6},{2,4},{5}}=>[3,4,6,2,5,1]=>[1,1,1,0,1,0,1,1,0,0,0,0] [3,4,6,2,1,5]=>{{1,3,6},{2,4},{5}}=>[3,4,6,2,5,1]=>[1,1,1,0,1,0,1,1,0,0,0,0] [3,4,6,2,5,1]=>{{1,3,6},{2,4},{5}}=>[3,4,6,2,5,1]=>[1,1,1,0,1,0,1,1,0,0,0,0] [3,4,6,5,1,2]=>{{1,3,6},{2,4,5}}=>[3,4,6,5,2,1]=>[1,1,1,0,1,0,1,1,0,0,0,0] [3,4,6,5,2,1]=>{{1,3,6},{2,4,5}}=>[3,4,6,5,2,1]=>[1,1,1,0,1,0,1,1,0,0,0,0] [3,5,1,2,4,6]=>{{1,3},{2,5},{4},{6}}=>[3,5,1,4,2,6]=>[1,1,1,0,1,1,0,0,0,0,1,0] [3,5,1,2,6,4]=>{{1,3},{2,5,6},{4}}=>[3,5,1,4,6,2]=>[1,1,1,0,1,1,0,0,0,1,0,0] [3,5,1,4,2,6]=>{{1,3},{2,5},{4},{6}}=>[3,5,1,4,2,6]=>[1,1,1,0,1,1,0,0,0,0,1,0] [3,5,1,4,6,2]=>{{1,3},{2,5,6},{4}}=>[3,5,1,4,6,2]=>[1,1,1,0,1,1,0,0,0,1,0,0] [3,5,1,6,2,4]=>{{1,3},{2,5},{4,6}}=>[3,5,1,6,2,4]=>[1,1,1,0,1,1,0,0,1,0,0,0] [3,5,1,6,4,2]=>{{1,3},{2,5},{4,6}}=>[3,5,1,6,2,4]=>[1,1,1,0,1,1,0,0,1,0,0,0] [3,5,2,1,4,6]=>{{1,3},{2,5},{4},{6}}=>[3,5,1,4,2,6]=>[1,1,1,0,1,1,0,0,0,0,1,0] [3,5,2,1,6,4]=>{{1,3},{2,5,6},{4}}=>[3,5,1,4,6,2]=>[1,1,1,0,1,1,0,0,0,1,0,0] [3,5,2,4,1,6]=>{{1,3},{2,5},{4},{6}}=>[3,5,1,4,2,6]=>[1,1,1,0,1,1,0,0,0,0,1,0] [3,5,2,4,6,1]=>{{1,3},{2,5,6},{4}}=>[3,5,1,4,6,2]=>[1,1,1,0,1,1,0,0,0,1,0,0] [3,5,2,6,1,4]=>{{1,3},{2,5},{4,6}}=>[3,5,1,6,2,4]=>[1,1,1,0,1,1,0,0,1,0,0,0] [3,5,2,6,4,1]=>{{1,3},{2,5},{4,6}}=>[3,5,1,6,2,4]=>[1,1,1,0,1,1,0,0,1,0,0,0] [3,5,4,1,2,6]=>{{1,3,4},{2,5},{6}}=>[3,5,4,1,2,6]=>[1,1,1,0,1,1,0,0,0,0,1,0] [3,5,4,1,6,2]=>{{1,3,4},{2,5,6}}=>[3,5,4,1,6,2]=>[1,1,1,0,1,1,0,0,0,1,0,0] [3,5,4,2,1,6]=>{{1,3,4},{2,5},{6}}=>[3,5,4,1,2,6]=>[1,1,1,0,1,1,0,0,0,0,1,0] [3,5,4,2,6,1]=>{{1,3,4},{2,5,6}}=>[3,5,4,1,6,2]=>[1,1,1,0,1,1,0,0,0,1,0,0] [3,5,4,6,1,2]=>{{1,3,4,6},{2,5}}=>[3,5,4,6,2,1]=>[1,1,1,0,1,1,0,0,1,0,0,0] [3,5,4,6,2,1]=>{{1,3,4,6},{2,5}}=>[3,5,4,6,2,1]=>[1,1,1,0,1,1,0,0,1,0,0,0] [3,5,6,1,2,4]=>{{1,3,6},{2,5},{4}}=>[3,5,6,4,2,1]=>[1,1,1,0,1,1,0,1,0,0,0,0] [3,5,6,1,4,2]=>{{1,3,6},{2,5},{4}}=>[3,5,6,4,2,1]=>[1,1,1,0,1,1,0,1,0,0,0,0] [3,5,6,2,1,4]=>{{1,3,6},{2,5},{4}}=>[3,5,6,4,2,1]=>[1,1,1,0,1,1,0,1,0,0,0,0] [3,5,6,2,4,1]=>{{1,3,6},{2,5},{4}}=>[3,5,6,4,2,1]=>[1,1,1,0,1,1,0,1,0,0,0,0] [3,5,6,4,1,2]=>{{1,3,6},{2,5},{4}}=>[3,5,6,4,2,1]=>[1,1,1,0,1,1,0,1,0,0,0,0] [3,5,6,4,2,1]=>{{1,3,6},{2,5},{4}}=>[3,5,6,4,2,1]=>[1,1,1,0,1,1,0,1,0,0,0,0] [3,6,1,2,4,5]=>{{1,3},{2,6},{4},{5}}=>[3,6,1,4,5,2]=>[1,1,1,0,1,1,1,0,0,0,0,0] [3,6,1,2,5,4]=>{{1,3},{2,6},{4},{5}}=>[3,6,1,4,5,2]=>[1,1,1,0,1,1,1,0,0,0,0,0] [3,6,1,4,2,5]=>{{1,3},{2,6},{4},{5}}=>[3,6,1,4,5,2]=>[1,1,1,0,1,1,1,0,0,0,0,0] [3,6,1,4,5,2]=>{{1,3},{2,6},{4},{5}}=>[3,6,1,4,5,2]=>[1,1,1,0,1,1,1,0,0,0,0,0] [3,6,1,5,2,4]=>{{1,3},{2,6},{4,5}}=>[3,6,1,5,4,2]=>[1,1,1,0,1,1,1,0,0,0,0,0] [3,6,1,5,4,2]=>{{1,3},{2,6},{4,5}}=>[3,6,1,5,4,2]=>[1,1,1,0,1,1,1,0,0,0,0,0] [3,6,2,1,4,5]=>{{1,3},{2,6},{4},{5}}=>[3,6,1,4,5,2]=>[1,1,1,0,1,1,1,0,0,0,0,0] [3,6,2,1,5,4]=>{{1,3},{2,6},{4},{5}}=>[3,6,1,4,5,2]=>[1,1,1,0,1,1,1,0,0,0,0,0] [3,6,2,4,1,5]=>{{1,3},{2,6},{4},{5}}=>[3,6,1,4,5,2]=>[1,1,1,0,1,1,1,0,0,0,0,0] [3,6,2,4,5,1]=>{{1,3},{2,6},{4},{5}}=>[3,6,1,4,5,2]=>[1,1,1,0,1,1,1,0,0,0,0,0] [3,6,2,5,1,4]=>{{1,3},{2,6},{4,5}}=>[3,6,1,5,4,2]=>[1,1,1,0,1,1,1,0,0,0,0,0] [3,6,2,5,4,1]=>{{1,3},{2,6},{4,5}}=>[3,6,1,5,4,2]=>[1,1,1,0,1,1,1,0,0,0,0,0] [3,6,4,1,2,5]=>{{1,3,4},{2,6},{5}}=>[3,6,4,1,5,2]=>[1,1,1,0,1,1,1,0,0,0,0,0] [3,6,4,1,5,2]=>{{1,3,4},{2,6},{5}}=>[3,6,4,1,5,2]=>[1,1,1,0,1,1,1,0,0,0,0,0] [3,6,4,2,1,5]=>{{1,3,4},{2,6},{5}}=>[3,6,4,1,5,2]=>[1,1,1,0,1,1,1,0,0,0,0,0] [3,6,4,2,5,1]=>{{1,3,4},{2,6},{5}}=>[3,6,4,1,5,2]=>[1,1,1,0,1,1,1,0,0,0,0,0] [3,6,4,5,1,2]=>{{1,3,4,5},{2,6}}=>[3,6,4,5,1,2]=>[1,1,1,0,1,1,1,0,0,0,0,0] [3,6,4,5,2,1]=>{{1,3,4,5},{2,6}}=>[3,6,4,5,1,2]=>[1,1,1,0,1,1,1,0,0,0,0,0] [3,6,5,1,2,4]=>{{1,3,5},{2,6},{4}}=>[3,6,5,4,1,2]=>[1,1,1,0,1,1,1,0,0,0,0,0] [3,6,5,1,4,2]=>{{1,3,5},{2,6},{4}}=>[3,6,5,4,1,2]=>[1,1,1,0,1,1,1,0,0,0,0,0] [3,6,5,2,1,4]=>{{1,3,5},{2,6},{4}}=>[3,6,5,4,1,2]=>[1,1,1,0,1,1,1,0,0,0,0,0] [3,6,5,2,4,1]=>{{1,3,5},{2,6},{4}}=>[3,6,5,4,1,2]=>[1,1,1,0,1,1,1,0,0,0,0,0] [3,6,5,4,1,2]=>{{1,3,5},{2,6},{4}}=>[3,6,5,4,1,2]=>[1,1,1,0,1,1,1,0,0,0,0,0] [3,6,5,4,2,1]=>{{1,3,5},{2,6},{4}}=>[3,6,5,4,1,2]=>[1,1,1,0,1,1,1,0,0,0,0,0] [4,1,2,3,5,6]=>{{1,4},{2},{3},{5},{6}}=>[4,2,3,1,5,6]=>[1,1,1,1,0,0,0,0,1,0,1,0] [4,1,2,3,6,5]=>{{1,4},{2},{3},{5,6}}=>[4,2,3,1,6,5]=>[1,1,1,1,0,0,0,0,1,1,0,0] [4,1,2,5,3,6]=>{{1,4,5},{2},{3},{6}}=>[4,2,3,5,1,6]=>[1,1,1,1,0,0,0,1,0,0,1,0] [4,1,2,5,6,3]=>{{1,4,5,6},{2},{3}}=>[4,2,3,5,6,1]=>[1,1,1,1,0,0,0,1,0,1,0,0] [4,1,2,6,3,5]=>{{1,4,6},{2},{3},{5}}=>[4,2,3,6,5,1]=>[1,1,1,1,0,0,0,1,1,0,0,0] [4,1,2,6,5,3]=>{{1,4,6},{2},{3},{5}}=>[4,2,3,6,5,1]=>[1,1,1,1,0,0,0,1,1,0,0,0] [4,1,3,2,5,6]=>{{1,4},{2},{3},{5},{6}}=>[4,2,3,1,5,6]=>[1,1,1,1,0,0,0,0,1,0,1,0] [4,1,3,2,6,5]=>{{1,4},{2},{3},{5,6}}=>[4,2,3,1,6,5]=>[1,1,1,1,0,0,0,0,1,1,0,0] [4,1,3,5,2,6]=>{{1,4,5},{2},{3},{6}}=>[4,2,3,5,1,6]=>[1,1,1,1,0,0,0,1,0,0,1,0] [4,1,3,5,6,2]=>{{1,4,5,6},{2},{3}}=>[4,2,3,5,6,1]=>[1,1,1,1,0,0,0,1,0,1,0,0] [4,1,3,6,2,5]=>{{1,4,6},{2},{3},{5}}=>[4,2,3,6,5,1]=>[1,1,1,1,0,0,0,1,1,0,0,0] [4,1,3,6,5,2]=>{{1,4,6},{2},{3},{5}}=>[4,2,3,6,5,1]=>[1,1,1,1,0,0,0,1,1,0,0,0] [4,1,5,2,3,6]=>{{1,4},{2},{3,5},{6}}=>[4,2,5,1,3,6]=>[1,1,1,1,0,0,1,0,0,0,1,0] [4,1,5,2,6,3]=>{{1,4},{2},{3,5,6}}=>[4,2,5,1,6,3]=>[1,1,1,1,0,0,1,0,0,1,0,0] [4,1,5,3,2,6]=>{{1,4},{2},{3,5},{6}}=>[4,2,5,1,3,6]=>[1,1,1,1,0,0,1,0,0,0,1,0] [4,1,5,3,6,2]=>{{1,4},{2},{3,5,6}}=>[4,2,5,1,6,3]=>[1,1,1,1,0,0,1,0,0,1,0,0] [4,1,5,6,2,3]=>{{1,4,6},{2},{3,5}}=>[4,2,5,6,3,1]=>[1,1,1,1,0,0,1,0,1,0,0,0] [4,1,5,6,3,2]=>{{1,4,6},{2},{3,5}}=>[4,2,5,6,3,1]=>[1,1,1,1,0,0,1,0,1,0,0,0] [4,1,6,2,3,5]=>{{1,4},{2},{3,6},{5}}=>[4,2,6,1,5,3]=>[1,1,1,1,0,0,1,1,0,0,0,0] [4,1,6,2,5,3]=>{{1,4},{2},{3,6},{5}}=>[4,2,6,1,5,3]=>[1,1,1,1,0,0,1,1,0,0,0,0] [4,1,6,3,2,5]=>{{1,4},{2},{3,6},{5}}=>[4,2,6,1,5,3]=>[1,1,1,1,0,0,1,1,0,0,0,0] [4,1,6,3,5,2]=>{{1,4},{2},{3,6},{5}}=>[4,2,6,1,5,3]=>[1,1,1,1,0,0,1,1,0,0,0,0] [4,1,6,5,2,3]=>{{1,4,5},{2},{3,6}}=>[4,2,6,5,1,3]=>[1,1,1,1,0,0,1,1,0,0,0,0] [4,1,6,5,3,2]=>{{1,4,5},{2},{3,6}}=>[4,2,6,5,1,3]=>[1,1,1,1,0,0,1,1,0,0,0,0] [4,2,1,3,5,6]=>{{1,4},{2},{3},{5},{6}}=>[4,2,3,1,5,6]=>[1,1,1,1,0,0,0,0,1,0,1,0] [4,2,1,3,6,5]=>{{1,4},{2},{3},{5,6}}=>[4,2,3,1,6,5]=>[1,1,1,1,0,0,0,0,1,1,0,0] [4,2,1,5,3,6]=>{{1,4,5},{2},{3},{6}}=>[4,2,3,5,1,6]=>[1,1,1,1,0,0,0,1,0,0,1,0] [4,2,1,5,6,3]=>{{1,4,5,6},{2},{3}}=>[4,2,3,5,6,1]=>[1,1,1,1,0,0,0,1,0,1,0,0] [4,2,1,6,3,5]=>{{1,4,6},{2},{3},{5}}=>[4,2,3,6,5,1]=>[1,1,1,1,0,0,0,1,1,0,0,0] [4,2,1,6,5,3]=>{{1,4,6},{2},{3},{5}}=>[4,2,3,6,5,1]=>[1,1,1,1,0,0,0,1,1,0,0,0] [4,2,3,1,5,6]=>{{1,4},{2},{3},{5},{6}}=>[4,2,3,1,5,6]=>[1,1,1,1,0,0,0,0,1,0,1,0] [4,2,3,1,6,5]=>{{1,4},{2},{3},{5,6}}=>[4,2,3,1,6,5]=>[1,1,1,1,0,0,0,0,1,1,0,0] [4,2,3,5,1,6]=>{{1,4,5},{2},{3},{6}}=>[4,2,3,5,1,6]=>[1,1,1,1,0,0,0,1,0,0,1,0] [4,2,3,5,6,1]=>{{1,4,5,6},{2},{3}}=>[4,2,3,5,6,1]=>[1,1,1,1,0,0,0,1,0,1,0,0] [4,2,3,6,1,5]=>{{1,4,6},{2},{3},{5}}=>[4,2,3,6,5,1]=>[1,1,1,1,0,0,0,1,1,0,0,0] [4,2,3,6,5,1]=>{{1,4,6},{2},{3},{5}}=>[4,2,3,6,5,1]=>[1,1,1,1,0,0,0,1,1,0,0,0] [4,2,5,1,3,6]=>{{1,4},{2},{3,5},{6}}=>[4,2,5,1,3,6]=>[1,1,1,1,0,0,1,0,0,0,1,0] [4,2,5,1,6,3]=>{{1,4},{2},{3,5,6}}=>[4,2,5,1,6,3]=>[1,1,1,1,0,0,1,0,0,1,0,0] [4,2,5,3,1,6]=>{{1,4},{2},{3,5},{6}}=>[4,2,5,1,3,6]=>[1,1,1,1,0,0,1,0,0,0,1,0] [4,2,5,3,6,1]=>{{1,4},{2},{3,5,6}}=>[4,2,5,1,6,3]=>[1,1,1,1,0,0,1,0,0,1,0,0] [4,2,5,6,1,3]=>{{1,4,6},{2},{3,5}}=>[4,2,5,6,3,1]=>[1,1,1,1,0,0,1,0,1,0,0,0] [4,2,5,6,3,1]=>{{1,4,6},{2},{3,5}}=>[4,2,5,6,3,1]=>[1,1,1,1,0,0,1,0,1,0,0,0] [4,2,6,1,3,5]=>{{1,4},{2},{3,6},{5}}=>[4,2,6,1,5,3]=>[1,1,1,1,0,0,1,1,0,0,0,0] [4,2,6,1,5,3]=>{{1,4},{2},{3,6},{5}}=>[4,2,6,1,5,3]=>[1,1,1,1,0,0,1,1,0,0,0,0] [4,2,6,3,1,5]=>{{1,4},{2},{3,6},{5}}=>[4,2,6,1,5,3]=>[1,1,1,1,0,0,1,1,0,0,0,0] [4,2,6,3,5,1]=>{{1,4},{2},{3,6},{5}}=>[4,2,6,1,5,3]=>[1,1,1,1,0,0,1,1,0,0,0,0] [4,2,6,5,1,3]=>{{1,4,5},{2},{3,6}}=>[4,2,6,5,1,3]=>[1,1,1,1,0,0,1,1,0,0,0,0] [4,2,6,5,3,1]=>{{1,4,5},{2},{3,6}}=>[4,2,6,5,1,3]=>[1,1,1,1,0,0,1,1,0,0,0,0] [4,3,1,2,5,6]=>{{1,4},{2,3},{5},{6}}=>[4,3,2,1,5,6]=>[1,1,1,1,0,0,0,0,1,0,1,0] [4,3,1,2,6,5]=>{{1,4},{2,3},{5,6}}=>[4,3,2,1,6,5]=>[1,1,1,1,0,0,0,0,1,1,0,0] [4,3,1,5,2,6]=>{{1,4,5},{2,3},{6}}=>[4,3,2,5,1,6]=>[1,1,1,1,0,0,0,1,0,0,1,0] [4,3,1,5,6,2]=>{{1,4,5,6},{2,3}}=>[4,3,2,5,6,1]=>[1,1,1,1,0,0,0,1,0,1,0,0] [4,3,1,6,2,5]=>{{1,4,6},{2,3},{5}}=>[4,3,2,6,5,1]=>[1,1,1,1,0,0,0,1,1,0,0,0] [4,3,1,6,5,2]=>{{1,4,6},{2,3},{5}}=>[4,3,2,6,5,1]=>[1,1,1,1,0,0,0,1,1,0,0,0] [4,3,2,1,5,6]=>{{1,4},{2,3},{5},{6}}=>[4,3,2,1,5,6]=>[1,1,1,1,0,0,0,0,1,0,1,0] [4,3,2,1,6,5]=>{{1,4},{2,3},{5,6}}=>[4,3,2,1,6,5]=>[1,1,1,1,0,0,0,0,1,1,0,0] [4,3,2,5,1,6]=>{{1,4,5},{2,3},{6}}=>[4,3,2,5,1,6]=>[1,1,1,1,0,0,0,1,0,0,1,0] [4,3,2,5,6,1]=>{{1,4,5,6},{2,3}}=>[4,3,2,5,6,1]=>[1,1,1,1,0,0,0,1,0,1,0,0] [4,3,2,6,1,5]=>{{1,4,6},{2,3},{5}}=>[4,3,2,6,5,1]=>[1,1,1,1,0,0,0,1,1,0,0,0] [4,3,2,6,5,1]=>{{1,4,6},{2,3},{5}}=>[4,3,2,6,5,1]=>[1,1,1,1,0,0,0,1,1,0,0,0] [4,3,5,1,2,6]=>{{1,4},{2,3,5},{6}}=>[4,3,5,1,2,6]=>[1,1,1,1,0,0,1,0,0,0,1,0] [4,3,5,1,6,2]=>{{1,4},{2,3,5,6}}=>[4,3,5,1,6,2]=>[1,1,1,1,0,0,1,0,0,1,0,0] [4,3,5,2,1,6]=>{{1,4},{2,3,5},{6}}=>[4,3,5,1,2,6]=>[1,1,1,1,0,0,1,0,0,0,1,0] [4,3,5,2,6,1]=>{{1,4},{2,3,5,6}}=>[4,3,5,1,6,2]=>[1,1,1,1,0,0,1,0,0,1,0,0] [4,3,5,6,1,2]=>{{1,4,6},{2,3,5}}=>[4,3,5,6,2,1]=>[1,1,1,1,0,0,1,0,1,0,0,0] [4,3,5,6,2,1]=>{{1,4,6},{2,3,5}}=>[4,3,5,6,2,1]=>[1,1,1,1,0,0,1,0,1,0,0,0] [4,3,6,1,2,5]=>{{1,4},{2,3,6},{5}}=>[4,3,6,1,5,2]=>[1,1,1,1,0,0,1,1,0,0,0,0] [4,3,6,1,5,2]=>{{1,4},{2,3,6},{5}}=>[4,3,6,1,5,2]=>[1,1,1,1,0,0,1,1,0,0,0,0] [4,3,6,2,1,5]=>{{1,4},{2,3,6},{5}}=>[4,3,6,1,5,2]=>[1,1,1,1,0,0,1,1,0,0,0,0] [4,3,6,2,5,1]=>{{1,4},{2,3,6},{5}}=>[4,3,6,1,5,2]=>[1,1,1,1,0,0,1,1,0,0,0,0] [4,3,6,5,1,2]=>{{1,4,5},{2,3,6}}=>[4,3,6,5,1,2]=>[1,1,1,1,0,0,1,1,0,0,0,0] [4,3,6,5,2,1]=>{{1,4,5},{2,3,6}}=>[4,3,6,5,1,2]=>[1,1,1,1,0,0,1,1,0,0,0,0] [4,5,1,2,3,6]=>{{1,4},{2,5},{3},{6}}=>[4,5,3,1,2,6]=>[1,1,1,1,0,1,0,0,0,0,1,0] [4,5,1,2,6,3]=>{{1,4},{2,5,6},{3}}=>[4,5,3,1,6,2]=>[1,1,1,1,0,1,0,0,0,1,0,0] [4,5,1,3,2,6]=>{{1,4},{2,5},{3},{6}}=>[4,5,3,1,2,6]=>[1,1,1,1,0,1,0,0,0,0,1,0] [4,5,1,3,6,2]=>{{1,4},{2,5,6},{3}}=>[4,5,3,1,6,2]=>[1,1,1,1,0,1,0,0,0,1,0,0] [4,5,1,6,2,3]=>{{1,4,6},{2,5},{3}}=>[4,5,3,6,2,1]=>[1,1,1,1,0,1,0,0,1,0,0,0] [4,5,1,6,3,2]=>{{1,4,6},{2,5},{3}}=>[4,5,3,6,2,1]=>[1,1,1,1,0,1,0,0,1,0,0,0] [4,5,2,1,3,6]=>{{1,4},{2,5},{3},{6}}=>[4,5,3,1,2,6]=>[1,1,1,1,0,1,0,0,0,0,1,0] [4,5,2,1,6,3]=>{{1,4},{2,5,6},{3}}=>[4,5,3,1,6,2]=>[1,1,1,1,0,1,0,0,0,1,0,0] [4,5,2,3,1,6]=>{{1,4},{2,5},{3},{6}}=>[4,5,3,1,2,6]=>[1,1,1,1,0,1,0,0,0,0,1,0] [4,5,2,3,6,1]=>{{1,4},{2,5,6},{3}}=>[4,5,3,1,6,2]=>[1,1,1,1,0,1,0,0,0,1,0,0] [4,5,2,6,1,3]=>{{1,4,6},{2,5},{3}}=>[4,5,3,6,2,1]=>[1,1,1,1,0,1,0,0,1,0,0,0] [4,5,2,6,3,1]=>{{1,4,6},{2,5},{3}}=>[4,5,3,6,2,1]=>[1,1,1,1,0,1,0,0,1,0,0,0] [4,5,3,1,2,6]=>{{1,4},{2,5},{3},{6}}=>[4,5,3,1,2,6]=>[1,1,1,1,0,1,0,0,0,0,1,0] [4,5,3,1,6,2]=>{{1,4},{2,5,6},{3}}=>[4,5,3,1,6,2]=>[1,1,1,1,0,1,0,0,0,1,0,0] [4,5,3,2,1,6]=>{{1,4},{2,5},{3},{6}}=>[4,5,3,1,2,6]=>[1,1,1,1,0,1,0,0,0,0,1,0] [4,5,3,2,6,1]=>{{1,4},{2,5,6},{3}}=>[4,5,3,1,6,2]=>[1,1,1,1,0,1,0,0,0,1,0,0] [4,5,3,6,1,2]=>{{1,4,6},{2,5},{3}}=>[4,5,3,6,2,1]=>[1,1,1,1,0,1,0,0,1,0,0,0] [4,5,3,6,2,1]=>{{1,4,6},{2,5},{3}}=>[4,5,3,6,2,1]=>[1,1,1,1,0,1,0,0,1,0,0,0] [4,5,6,1,2,3]=>{{1,4},{2,5},{3,6}}=>[4,5,6,1,2,3]=>[1,1,1,1,0,1,0,1,0,0,0,0] [4,5,6,1,3,2]=>{{1,4},{2,5},{3,6}}=>[4,5,6,1,2,3]=>[1,1,1,1,0,1,0,1,0,0,0,0] [4,5,6,2,1,3]=>{{1,4},{2,5},{3,6}}=>[4,5,6,1,2,3]=>[1,1,1,1,0,1,0,1,0,0,0,0] [4,5,6,2,3,1]=>{{1,4},{2,5},{3,6}}=>[4,5,6,1,2,3]=>[1,1,1,1,0,1,0,1,0,0,0,0] [4,5,6,3,1,2]=>{{1,4},{2,5},{3,6}}=>[4,5,6,1,2,3]=>[1,1,1,1,0,1,0,1,0,0,0,0] [4,5,6,3,2,1]=>{{1,4},{2,5},{3,6}}=>[4,5,6,1,2,3]=>[1,1,1,1,0,1,0,1,0,0,0,0] [4,6,1,2,3,5]=>{{1,4},{2,6},{3},{5}}=>[4,6,3,1,5,2]=>[1,1,1,1,0,1,1,0,0,0,0,0] [4,6,1,2,5,3]=>{{1,4},{2,6},{3},{5}}=>[4,6,3,1,5,2]=>[1,1,1,1,0,1,1,0,0,0,0,0] [4,6,1,3,2,5]=>{{1,4},{2,6},{3},{5}}=>[4,6,3,1,5,2]=>[1,1,1,1,0,1,1,0,0,0,0,0] [4,6,1,3,5,2]=>{{1,4},{2,6},{3},{5}}=>[4,6,3,1,5,2]=>[1,1,1,1,0,1,1,0,0,0,0,0] [4,6,1,5,2,3]=>{{1,4,5},{2,6},{3}}=>[4,6,3,5,1,2]=>[1,1,1,1,0,1,1,0,0,0,0,0] [4,6,1,5,3,2]=>{{1,4,5},{2,6},{3}}=>[4,6,3,5,1,2]=>[1,1,1,1,0,1,1,0,0,0,0,0] [4,6,2,1,3,5]=>{{1,4},{2,6},{3},{5}}=>[4,6,3,1,5,2]=>[1,1,1,1,0,1,1,0,0,0,0,0] [4,6,2,1,5,3]=>{{1,4},{2,6},{3},{5}}=>[4,6,3,1,5,2]=>[1,1,1,1,0,1,1,0,0,0,0,0] [4,6,2,3,1,5]=>{{1,4},{2,6},{3},{5}}=>[4,6,3,1,5,2]=>[1,1,1,1,0,1,1,0,0,0,0,0] [4,6,2,3,5,1]=>{{1,4},{2,6},{3},{5}}=>[4,6,3,1,5,2]=>[1,1,1,1,0,1,1,0,0,0,0,0] [4,6,2,5,1,3]=>{{1,4,5},{2,6},{3}}=>[4,6,3,5,1,2]=>[1,1,1,1,0,1,1,0,0,0,0,0] [4,6,2,5,3,1]=>{{1,4,5},{2,6},{3}}=>[4,6,3,5,1,2]=>[1,1,1,1,0,1,1,0,0,0,0,0] [4,6,3,1,2,5]=>{{1,4},{2,6},{3},{5}}=>[4,6,3,1,5,2]=>[1,1,1,1,0,1,1,0,0,0,0,0] [4,6,3,1,5,2]=>{{1,4},{2,6},{3},{5}}=>[4,6,3,1,5,2]=>[1,1,1,1,0,1,1,0,0,0,0,0] [4,6,3,2,1,5]=>{{1,4},{2,6},{3},{5}}=>[4,6,3,1,5,2]=>[1,1,1,1,0,1,1,0,0,0,0,0] [4,6,3,2,5,1]=>{{1,4},{2,6},{3},{5}}=>[4,6,3,1,5,2]=>[1,1,1,1,0,1,1,0,0,0,0,0] [4,6,3,5,1,2]=>{{1,4,5},{2,6},{3}}=>[4,6,3,5,1,2]=>[1,1,1,1,0,1,1,0,0,0,0,0] [4,6,3,5,2,1]=>{{1,4,5},{2,6},{3}}=>[4,6,3,5,1,2]=>[1,1,1,1,0,1,1,0,0,0,0,0] [4,6,5,1,2,3]=>{{1,4},{2,6},{3,5}}=>[4,6,5,1,3,2]=>[1,1,1,1,0,1,1,0,0,0,0,0] [4,6,5,1,3,2]=>{{1,4},{2,6},{3,5}}=>[4,6,5,1,3,2]=>[1,1,1,1,0,1,1,0,0,0,0,0] [4,6,5,2,1,3]=>{{1,4},{2,6},{3,5}}=>[4,6,5,1,3,2]=>[1,1,1,1,0,1,1,0,0,0,0,0] [4,6,5,2,3,1]=>{{1,4},{2,6},{3,5}}=>[4,6,5,1,3,2]=>[1,1,1,1,0,1,1,0,0,0,0,0] [4,6,5,3,1,2]=>{{1,4},{2,6},{3,5}}=>[4,6,5,1,3,2]=>[1,1,1,1,0,1,1,0,0,0,0,0] [4,6,5,3,2,1]=>{{1,4},{2,6},{3,5}}=>[4,6,5,1,3,2]=>[1,1,1,1,0,1,1,0,0,0,0,0] [5,1,2,3,4,6]=>{{1,5},{2},{3},{4},{6}}=>[5,2,3,4,1,6]=>[1,1,1,1,1,0,0,0,0,0,1,0] [5,1,2,3,6,4]=>{{1,5,6},{2},{3},{4}}=>[5,2,3,4,6,1]=>[1,1,1,1,1,0,0,0,0,1,0,0] [5,1,2,4,3,6]=>{{1,5},{2},{3},{4},{6}}=>[5,2,3,4,1,6]=>[1,1,1,1,1,0,0,0,0,0,1,0] [5,1,2,4,6,3]=>{{1,5,6},{2},{3},{4}}=>[5,2,3,4,6,1]=>[1,1,1,1,1,0,0,0,0,1,0,0] [5,1,2,6,3,4]=>{{1,5},{2},{3},{4,6}}=>[5,2,3,6,1,4]=>[1,1,1,1,1,0,0,0,1,0,0,0] [5,1,2,6,4,3]=>{{1,5},{2},{3},{4,6}}=>[5,2,3,6,1,4]=>[1,1,1,1,1,0,0,0,1,0,0,0] [5,1,3,2,4,6]=>{{1,5},{2},{3},{4},{6}}=>[5,2,3,4,1,6]=>[1,1,1,1,1,0,0,0,0,0,1,0] [5,1,3,2,6,4]=>{{1,5,6},{2},{3},{4}}=>[5,2,3,4,6,1]=>[1,1,1,1,1,0,0,0,0,1,0,0] [5,1,3,4,2,6]=>{{1,5},{2},{3},{4},{6}}=>[5,2,3,4,1,6]=>[1,1,1,1,1,0,0,0,0,0,1,0] [5,1,3,4,6,2]=>{{1,5,6},{2},{3},{4}}=>[5,2,3,4,6,1]=>[1,1,1,1,1,0,0,0,0,1,0,0] [5,1,3,6,2,4]=>{{1,5},{2},{3},{4,6}}=>[5,2,3,6,1,4]=>[1,1,1,1,1,0,0,0,1,0,0,0] [5,1,3,6,4,2]=>{{1,5},{2},{3},{4,6}}=>[5,2,3,6,1,4]=>[1,1,1,1,1,0,0,0,1,0,0,0] [5,1,4,2,3,6]=>{{1,5},{2},{3,4},{6}}=>[5,2,4,3,1,6]=>[1,1,1,1,1,0,0,0,0,0,1,0] [5,1,4,2,6,3]=>{{1,5,6},{2},{3,4}}=>[5,2,4,3,6,1]=>[1,1,1,1,1,0,0,0,0,1,0,0] [5,1,4,3,2,6]=>{{1,5},{2},{3,4},{6}}=>[5,2,4,3,1,6]=>[1,1,1,1,1,0,0,0,0,0,1,0] [5,1,4,3,6,2]=>{{1,5,6},{2},{3,4}}=>[5,2,4,3,6,1]=>[1,1,1,1,1,0,0,0,0,1,0,0] [5,1,4,6,2,3]=>{{1,5},{2},{3,4,6}}=>[5,2,4,6,1,3]=>[1,1,1,1,1,0,0,0,1,0,0,0] [5,1,4,6,3,2]=>{{1,5},{2},{3,4,6}}=>[5,2,4,6,1,3]=>[1,1,1,1,1,0,0,0,1,0,0,0] [5,1,6,2,3,4]=>{{1,5},{2},{3,6},{4}}=>[5,2,6,4,1,3]=>[1,1,1,1,1,0,0,1,0,0,0,0] [5,1,6,2,4,3]=>{{1,5},{2},{3,6},{4}}=>[5,2,6,4,1,3]=>[1,1,1,1,1,0,0,1,0,0,0,0] [5,1,6,3,2,4]=>{{1,5},{2},{3,6},{4}}=>[5,2,6,4,1,3]=>[1,1,1,1,1,0,0,1,0,0,0,0] [5,1,6,3,4,2]=>{{1,5},{2},{3,6},{4}}=>[5,2,6,4,1,3]=>[1,1,1,1,1,0,0,1,0,0,0,0] [5,1,6,4,2,3]=>{{1,5},{2},{3,6},{4}}=>[5,2,6,4,1,3]=>[1,1,1,1,1,0,0,1,0,0,0,0] [5,1,6,4,3,2]=>{{1,5},{2},{3,6},{4}}=>[5,2,6,4,1,3]=>[1,1,1,1,1,0,0,1,0,0,0,0] [5,2,1,3,4,6]=>{{1,5},{2},{3},{4},{6}}=>[5,2,3,4,1,6]=>[1,1,1,1,1,0,0,0,0,0,1,0] [5,2,1,3,6,4]=>{{1,5,6},{2},{3},{4}}=>[5,2,3,4,6,1]=>[1,1,1,1,1,0,0,0,0,1,0,0] [5,2,1,4,3,6]=>{{1,5},{2},{3},{4},{6}}=>[5,2,3,4,1,6]=>[1,1,1,1,1,0,0,0,0,0,1,0] [5,2,1,4,6,3]=>{{1,5,6},{2},{3},{4}}=>[5,2,3,4,6,1]=>[1,1,1,1,1,0,0,0,0,1,0,0] [5,2,1,6,3,4]=>{{1,5},{2},{3},{4,6}}=>[5,2,3,6,1,4]=>[1,1,1,1,1,0,0,0,1,0,0,0] [5,2,1,6,4,3]=>{{1,5},{2},{3},{4,6}}=>[5,2,3,6,1,4]=>[1,1,1,1,1,0,0,0,1,0,0,0] [5,2,3,1,4,6]=>{{1,5},{2},{3},{4},{6}}=>[5,2,3,4,1,6]=>[1,1,1,1,1,0,0,0,0,0,1,0] [5,2,3,1,6,4]=>{{1,5,6},{2},{3},{4}}=>[5,2,3,4,6,1]=>[1,1,1,1,1,0,0,0,0,1,0,0] [5,2,3,4,1,6]=>{{1,5},{2},{3},{4},{6}}=>[5,2,3,4,1,6]=>[1,1,1,1,1,0,0,0,0,0,1,0] [5,2,3,4,6,1]=>{{1,5,6},{2},{3},{4}}=>[5,2,3,4,6,1]=>[1,1,1,1,1,0,0,0,0,1,0,0] [5,2,3,6,1,4]=>{{1,5},{2},{3},{4,6}}=>[5,2,3,6,1,4]=>[1,1,1,1,1,0,0,0,1,0,0,0] [5,2,3,6,4,1]=>{{1,5},{2},{3},{4,6}}=>[5,2,3,6,1,4]=>[1,1,1,1,1,0,0,0,1,0,0,0] [5,2,4,1,3,6]=>{{1,5},{2},{3,4},{6}}=>[5,2,4,3,1,6]=>[1,1,1,1,1,0,0,0,0,0,1,0] [5,2,4,1,6,3]=>{{1,5,6},{2},{3,4}}=>[5,2,4,3,6,1]=>[1,1,1,1,1,0,0,0,0,1,0,0] [5,2,4,3,1,6]=>{{1,5},{2},{3,4},{6}}=>[5,2,4,3,1,6]=>[1,1,1,1,1,0,0,0,0,0,1,0] [5,2,4,3,6,1]=>{{1,5,6},{2},{3,4}}=>[5,2,4,3,6,1]=>[1,1,1,1,1,0,0,0,0,1,0,0] [5,2,4,6,1,3]=>{{1,5},{2},{3,4,6}}=>[5,2,4,6,1,3]=>[1,1,1,1,1,0,0,0,1,0,0,0] [5,2,4,6,3,1]=>{{1,5},{2},{3,4,6}}=>[5,2,4,6,1,3]=>[1,1,1,1,1,0,0,0,1,0,0,0] [5,2,6,1,3,4]=>{{1,5},{2},{3,6},{4}}=>[5,2,6,4,1,3]=>[1,1,1,1,1,0,0,1,0,0,0,0] [5,2,6,1,4,3]=>{{1,5},{2},{3,6},{4}}=>[5,2,6,4,1,3]=>[1,1,1,1,1,0,0,1,0,0,0,0] [5,2,6,3,1,4]=>{{1,5},{2},{3,6},{4}}=>[5,2,6,4,1,3]=>[1,1,1,1,1,0,0,1,0,0,0,0] [5,2,6,3,4,1]=>{{1,5},{2},{3,6},{4}}=>[5,2,6,4,1,3]=>[1,1,1,1,1,0,0,1,0,0,0,0] [5,2,6,4,1,3]=>{{1,5},{2},{3,6},{4}}=>[5,2,6,4,1,3]=>[1,1,1,1,1,0,0,1,0,0,0,0] [5,2,6,4,3,1]=>{{1,5},{2},{3,6},{4}}=>[5,2,6,4,1,3]=>[1,1,1,1,1,0,0,1,0,0,0,0] [5,3,1,2,4,6]=>{{1,5},{2,3},{4},{6}}=>[5,3,2,4,1,6]=>[1,1,1,1,1,0,0,0,0,0,1,0] [5,3,1,2,6,4]=>{{1,5,6},{2,3},{4}}=>[5,3,2,4,6,1]=>[1,1,1,1,1,0,0,0,0,1,0,0] [5,3,1,4,2,6]=>{{1,5},{2,3},{4},{6}}=>[5,3,2,4,1,6]=>[1,1,1,1,1,0,0,0,0,0,1,0] [5,3,1,4,6,2]=>{{1,5,6},{2,3},{4}}=>[5,3,2,4,6,1]=>[1,1,1,1,1,0,0,0,0,1,0,0] [5,3,1,6,2,4]=>{{1,5},{2,3},{4,6}}=>[5,3,2,6,1,4]=>[1,1,1,1,1,0,0,0,1,0,0,0] [5,3,1,6,4,2]=>{{1,5},{2,3},{4,6}}=>[5,3,2,6,1,4]=>[1,1,1,1,1,0,0,0,1,0,0,0] [5,3,2,1,4,6]=>{{1,5},{2,3},{4},{6}}=>[5,3,2,4,1,6]=>[1,1,1,1,1,0,0,0,0,0,1,0] [5,3,2,1,6,4]=>{{1,5,6},{2,3},{4}}=>[5,3,2,4,6,1]=>[1,1,1,1,1,0,0,0,0,1,0,0] [5,3,2,4,1,6]=>{{1,5},{2,3},{4},{6}}=>[5,3,2,4,1,6]=>[1,1,1,1,1,0,0,0,0,0,1,0] [5,3,2,4,6,1]=>{{1,5,6},{2,3},{4}}=>[5,3,2,4,6,1]=>[1,1,1,1,1,0,0,0,0,1,0,0] [5,3,2,6,1,4]=>{{1,5},{2,3},{4,6}}=>[5,3,2,6,1,4]=>[1,1,1,1,1,0,0,0,1,0,0,0] [5,3,2,6,4,1]=>{{1,5},{2,3},{4,6}}=>[5,3,2,6,1,4]=>[1,1,1,1,1,0,0,0,1,0,0,0] [5,3,4,1,2,6]=>{{1,5},{2,3,4},{6}}=>[5,3,4,2,1,6]=>[1,1,1,1,1,0,0,0,0,0,1,0] [5,3,4,1,6,2]=>{{1,5,6},{2,3,4}}=>[5,3,4,2,6,1]=>[1,1,1,1,1,0,0,0,0,1,0,0] [5,3,4,2,1,6]=>{{1,5},{2,3,4},{6}}=>[5,3,4,2,1,6]=>[1,1,1,1,1,0,0,0,0,0,1,0] [5,3,4,2,6,1]=>{{1,5,6},{2,3,4}}=>[5,3,4,2,6,1]=>[1,1,1,1,1,0,0,0,0,1,0,0] [5,3,4,6,1,2]=>{{1,5},{2,3,4,6}}=>[5,3,4,6,1,2]=>[1,1,1,1,1,0,0,0,1,0,0,0] [5,3,4,6,2,1]=>{{1,5},{2,3,4,6}}=>[5,3,4,6,1,2]=>[1,1,1,1,1,0,0,0,1,0,0,0] [5,3,6,1,2,4]=>{{1,5},{2,3,6},{4}}=>[5,3,6,4,1,2]=>[1,1,1,1,1,0,0,1,0,0,0,0] [5,3,6,1,4,2]=>{{1,5},{2,3,6},{4}}=>[5,3,6,4,1,2]=>[1,1,1,1,1,0,0,1,0,0,0,0] [5,3,6,2,1,4]=>{{1,5},{2,3,6},{4}}=>[5,3,6,4,1,2]=>[1,1,1,1,1,0,0,1,0,0,0,0] [5,3,6,2,4,1]=>{{1,5},{2,3,6},{4}}=>[5,3,6,4,1,2]=>[1,1,1,1,1,0,0,1,0,0,0,0] [5,3,6,4,1,2]=>{{1,5},{2,3,6},{4}}=>[5,3,6,4,1,2]=>[1,1,1,1,1,0,0,1,0,0,0,0] [5,3,6,4,2,1]=>{{1,5},{2,3,6},{4}}=>[5,3,6,4,1,2]=>[1,1,1,1,1,0,0,1,0,0,0,0] [5,4,1,2,3,6]=>{{1,5},{2,4},{3},{6}}=>[5,4,3,2,1,6]=>[1,1,1,1,1,0,0,0,0,0,1,0] [5,4,1,2,6,3]=>{{1,5,6},{2,4},{3}}=>[5,4,3,2,6,1]=>[1,1,1,1,1,0,0,0,0,1,0,0] [5,4,1,3,2,6]=>{{1,5},{2,4},{3},{6}}=>[5,4,3,2,1,6]=>[1,1,1,1,1,0,0,0,0,0,1,0] [5,4,1,3,6,2]=>{{1,5,6},{2,4},{3}}=>[5,4,3,2,6,1]=>[1,1,1,1,1,0,0,0,0,1,0,0] [5,4,1,6,2,3]=>{{1,5},{2,4,6},{3}}=>[5,4,3,6,1,2]=>[1,1,1,1,1,0,0,0,1,0,0,0] [5,4,1,6,3,2]=>{{1,5},{2,4,6},{3}}=>[5,4,3,6,1,2]=>[1,1,1,1,1,0,0,0,1,0,0,0] [5,4,2,1,3,6]=>{{1,5},{2,4},{3},{6}}=>[5,4,3,2,1,6]=>[1,1,1,1,1,0,0,0,0,0,1,0] [5,4,2,1,6,3]=>{{1,5,6},{2,4},{3}}=>[5,4,3,2,6,1]=>[1,1,1,1,1,0,0,0,0,1,0,0] [5,4,2,3,1,6]=>{{1,5},{2,4},{3},{6}}=>[5,4,3,2,1,6]=>[1,1,1,1,1,0,0,0,0,0,1,0] [5,4,2,3,6,1]=>{{1,5,6},{2,4},{3}}=>[5,4,3,2,6,1]=>[1,1,1,1,1,0,0,0,0,1,0,0] [5,4,2,6,1,3]=>{{1,5},{2,4,6},{3}}=>[5,4,3,6,1,2]=>[1,1,1,1,1,0,0,0,1,0,0,0] [5,4,2,6,3,1]=>{{1,5},{2,4,6},{3}}=>[5,4,3,6,1,2]=>[1,1,1,1,1,0,0,0,1,0,0,0] [5,4,3,1,2,6]=>{{1,5},{2,4},{3},{6}}=>[5,4,3,2,1,6]=>[1,1,1,1,1,0,0,0,0,0,1,0] [5,4,3,1,6,2]=>{{1,5,6},{2,4},{3}}=>[5,4,3,2,6,1]=>[1,1,1,1,1,0,0,0,0,1,0,0] [5,4,3,2,1,6]=>{{1,5},{2,4},{3},{6}}=>[5,4,3,2,1,6]=>[1,1,1,1,1,0,0,0,0,0,1,0] [5,4,3,2,6,1]=>{{1,5,6},{2,4},{3}}=>[5,4,3,2,6,1]=>[1,1,1,1,1,0,0,0,0,1,0,0] [5,4,3,6,1,2]=>{{1,5},{2,4,6},{3}}=>[5,4,3,6,1,2]=>[1,1,1,1,1,0,0,0,1,0,0,0] [5,4,3,6,2,1]=>{{1,5},{2,4,6},{3}}=>[5,4,3,6,1,2]=>[1,1,1,1,1,0,0,0,1,0,0,0] [5,4,6,1,2,3]=>{{1,5},{2,4},{3,6}}=>[5,4,6,2,1,3]=>[1,1,1,1,1,0,0,1,0,0,0,0] [5,4,6,1,3,2]=>{{1,5},{2,4},{3,6}}=>[5,4,6,2,1,3]=>[1,1,1,1,1,0,0,1,0,0,0,0] [5,4,6,2,1,3]=>{{1,5},{2,4},{3,6}}=>[5,4,6,2,1,3]=>[1,1,1,1,1,0,0,1,0,0,0,0] [5,4,6,2,3,1]=>{{1,5},{2,4},{3,6}}=>[5,4,6,2,1,3]=>[1,1,1,1,1,0,0,1,0,0,0,0] [5,4,6,3,1,2]=>{{1,5},{2,4},{3,6}}=>[5,4,6,2,1,3]=>[1,1,1,1,1,0,0,1,0,0,0,0] [5,4,6,3,2,1]=>{{1,5},{2,4},{3,6}}=>[5,4,6,2,1,3]=>[1,1,1,1,1,0,0,1,0,0,0,0] [5,6,1,2,3,4]=>{{1,5},{2,6},{3},{4}}=>[5,6,3,4,1,2]=>[1,1,1,1,1,0,1,0,0,0,0,0] [5,6,1,2,4,3]=>{{1,5},{2,6},{3},{4}}=>[5,6,3,4,1,2]=>[1,1,1,1,1,0,1,0,0,0,0,0] [5,6,1,3,2,4]=>{{1,5},{2,6},{3},{4}}=>[5,6,3,4,1,2]=>[1,1,1,1,1,0,1,0,0,0,0,0] [5,6,1,3,4,2]=>{{1,5},{2,6},{3},{4}}=>[5,6,3,4,1,2]=>[1,1,1,1,1,0,1,0,0,0,0,0] [5,6,1,4,2,3]=>{{1,5},{2,6},{3},{4}}=>[5,6,3,4,1,2]=>[1,1,1,1,1,0,1,0,0,0,0,0] [5,6,1,4,3,2]=>{{1,5},{2,6},{3},{4}}=>[5,6,3,4,1,2]=>[1,1,1,1,1,0,1,0,0,0,0,0] [5,6,2,1,3,4]=>{{1,5},{2,6},{3},{4}}=>[5,6,3,4,1,2]=>[1,1,1,1,1,0,1,0,0,0,0,0] [5,6,2,1,4,3]=>{{1,5},{2,6},{3},{4}}=>[5,6,3,4,1,2]=>[1,1,1,1,1,0,1,0,0,0,0,0] [5,6,2,3,1,4]=>{{1,5},{2,6},{3},{4}}=>[5,6,3,4,1,2]=>[1,1,1,1,1,0,1,0,0,0,0,0] [5,6,2,3,4,1]=>{{1,5},{2,6},{3},{4}}=>[5,6,3,4,1,2]=>[1,1,1,1,1,0,1,0,0,0,0,0] [5,6,2,4,1,3]=>{{1,5},{2,6},{3},{4}}=>[5,6,3,4,1,2]=>[1,1,1,1,1,0,1,0,0,0,0,0] [5,6,2,4,3,1]=>{{1,5},{2,6},{3},{4}}=>[5,6,3,4,1,2]=>[1,1,1,1,1,0,1,0,0,0,0,0] [5,6,3,1,2,4]=>{{1,5},{2,6},{3},{4}}=>[5,6,3,4,1,2]=>[1,1,1,1,1,0,1,0,0,0,0,0] [5,6,3,1,4,2]=>{{1,5},{2,6},{3},{4}}=>[5,6,3,4,1,2]=>[1,1,1,1,1,0,1,0,0,0,0,0] [5,6,3,2,1,4]=>{{1,5},{2,6},{3},{4}}=>[5,6,3,4,1,2]=>[1,1,1,1,1,0,1,0,0,0,0,0] [5,6,3,2,4,1]=>{{1,5},{2,6},{3},{4}}=>[5,6,3,4,1,2]=>[1,1,1,1,1,0,1,0,0,0,0,0] [5,6,3,4,1,2]=>{{1,5},{2,6},{3},{4}}=>[5,6,3,4,1,2]=>[1,1,1,1,1,0,1,0,0,0,0,0] [5,6,3,4,2,1]=>{{1,5},{2,6},{3},{4}}=>[5,6,3,4,1,2]=>[1,1,1,1,1,0,1,0,0,0,0,0] [5,6,4,1,2,3]=>{{1,5},{2,6},{3,4}}=>[5,6,4,3,1,2]=>[1,1,1,1,1,0,1,0,0,0,0,0] [5,6,4,1,3,2]=>{{1,5},{2,6},{3,4}}=>[5,6,4,3,1,2]=>[1,1,1,1,1,0,1,0,0,0,0,0] [5,6,4,2,1,3]=>{{1,5},{2,6},{3,4}}=>[5,6,4,3,1,2]=>[1,1,1,1,1,0,1,0,0,0,0,0] [5,6,4,2,3,1]=>{{1,5},{2,6},{3,4}}=>[5,6,4,3,1,2]=>[1,1,1,1,1,0,1,0,0,0,0,0] [5,6,4,3,1,2]=>{{1,5},{2,6},{3,4}}=>[5,6,4,3,1,2]=>[1,1,1,1,1,0,1,0,0,0,0,0] [5,6,4,3,2,1]=>{{1,5},{2,6},{3,4}}=>[5,6,4,3,1,2]=>[1,1,1,1,1,0,1,0,0,0,0,0] [6,1,2,3,4,5]=>{{1,6},{2},{3},{4},{5}}=>[6,2,3,4,5,1]=>[1,1,1,1,1,1,0,0,0,0,0,0] [6,1,2,3,5,4]=>{{1,6},{2},{3},{4},{5}}=>[6,2,3,4,5,1]=>[1,1,1,1,1,1,0,0,0,0,0,0] [6,1,2,4,3,5]=>{{1,6},{2},{3},{4},{5}}=>[6,2,3,4,5,1]=>[1,1,1,1,1,1,0,0,0,0,0,0] [6,1,2,4,5,3]=>{{1,6},{2},{3},{4},{5}}=>[6,2,3,4,5,1]=>[1,1,1,1,1,1,0,0,0,0,0,0] [6,1,2,5,3,4]=>{{1,6},{2},{3},{4,5}}=>[6,2,3,5,4,1]=>[1,1,1,1,1,1,0,0,0,0,0,0] [6,1,2,5,4,3]=>{{1,6},{2},{3},{4,5}}=>[6,2,3,5,4,1]=>[1,1,1,1,1,1,0,0,0,0,0,0] [6,1,3,2,4,5]=>{{1,6},{2},{3},{4},{5}}=>[6,2,3,4,5,1]=>[1,1,1,1,1,1,0,0,0,0,0,0] [6,1,3,2,5,4]=>{{1,6},{2},{3},{4},{5}}=>[6,2,3,4,5,1]=>[1,1,1,1,1,1,0,0,0,0,0,0] [6,1,3,4,2,5]=>{{1,6},{2},{3},{4},{5}}=>[6,2,3,4,5,1]=>[1,1,1,1,1,1,0,0,0,0,0,0] [6,1,3,4,5,2]=>{{1,6},{2},{3},{4},{5}}=>[6,2,3,4,5,1]=>[1,1,1,1,1,1,0,0,0,0,0,0] [6,1,3,5,2,4]=>{{1,6},{2},{3},{4,5}}=>[6,2,3,5,4,1]=>[1,1,1,1,1,1,0,0,0,0,0,0] [6,1,3,5,4,2]=>{{1,6},{2},{3},{4,5}}=>[6,2,3,5,4,1]=>[1,1,1,1,1,1,0,0,0,0,0,0] [6,1,4,2,3,5]=>{{1,6},{2},{3,4},{5}}=>[6,2,4,3,5,1]=>[1,1,1,1,1,1,0,0,0,0,0,0] [6,1,4,2,5,3]=>{{1,6},{2},{3,4},{5}}=>[6,2,4,3,5,1]=>[1,1,1,1,1,1,0,0,0,0,0,0] [6,1,4,3,2,5]=>{{1,6},{2},{3,4},{5}}=>[6,2,4,3,5,1]=>[1,1,1,1,1,1,0,0,0,0,0,0] [6,1,4,3,5,2]=>{{1,6},{2},{3,4},{5}}=>[6,2,4,3,5,1]=>[1,1,1,1,1,1,0,0,0,0,0,0] [6,1,4,5,2,3]=>{{1,6},{2},{3,4,5}}=>[6,2,4,5,3,1]=>[1,1,1,1,1,1,0,0,0,0,0,0] [6,1,4,5,3,2]=>{{1,6},{2},{3,4,5}}=>[6,2,4,5,3,1]=>[1,1,1,1,1,1,0,0,0,0,0,0] [6,1,5,2,3,4]=>{{1,6},{2},{3,5},{4}}=>[6,2,5,4,3,1]=>[1,1,1,1,1,1,0,0,0,0,0,0] [6,1,5,2,4,3]=>{{1,6},{2},{3,5},{4}}=>[6,2,5,4,3,1]=>[1,1,1,1,1,1,0,0,0,0,0,0] [6,1,5,3,2,4]=>{{1,6},{2},{3,5},{4}}=>[6,2,5,4,3,1]=>[1,1,1,1,1,1,0,0,0,0,0,0] [6,1,5,3,4,2]=>{{1,6},{2},{3,5},{4}}=>[6,2,5,4,3,1]=>[1,1,1,1,1,1,0,0,0,0,0,0] [6,1,5,4,2,3]=>{{1,6},{2},{3,5},{4}}=>[6,2,5,4,3,1]=>[1,1,1,1,1,1,0,0,0,0,0,0] [6,1,5,4,3,2]=>{{1,6},{2},{3,5},{4}}=>[6,2,5,4,3,1]=>[1,1,1,1,1,1,0,0,0,0,0,0] [6,2,1,3,4,5]=>{{1,6},{2},{3},{4},{5}}=>[6,2,3,4,5,1]=>[1,1,1,1,1,1,0,0,0,0,0,0] [6,2,1,3,5,4]=>{{1,6},{2},{3},{4},{5}}=>[6,2,3,4,5,1]=>[1,1,1,1,1,1,0,0,0,0,0,0] [6,2,1,4,3,5]=>{{1,6},{2},{3},{4},{5}}=>[6,2,3,4,5,1]=>[1,1,1,1,1,1,0,0,0,0,0,0] [6,2,1,4,5,3]=>{{1,6},{2},{3},{4},{5}}=>[6,2,3,4,5,1]=>[1,1,1,1,1,1,0,0,0,0,0,0] [6,2,1,5,3,4]=>{{1,6},{2},{3},{4,5}}=>[6,2,3,5,4,1]=>[1,1,1,1,1,1,0,0,0,0,0,0] [6,2,1,5,4,3]=>{{1,6},{2},{3},{4,5}}=>[6,2,3,5,4,1]=>[1,1,1,1,1,1,0,0,0,0,0,0] [6,2,3,1,4,5]=>{{1,6},{2},{3},{4},{5}}=>[6,2,3,4,5,1]=>[1,1,1,1,1,1,0,0,0,0,0,0] [6,2,3,1,5,4]=>{{1,6},{2},{3},{4},{5}}=>[6,2,3,4,5,1]=>[1,1,1,1,1,1,0,0,0,0,0,0] [6,2,3,4,1,5]=>{{1,6},{2},{3},{4},{5}}=>[6,2,3,4,5,1]=>[1,1,1,1,1,1,0,0,0,0,0,0] [6,2,3,4,5,1]=>{{1,6},{2},{3},{4},{5}}=>[6,2,3,4,5,1]=>[1,1,1,1,1,1,0,0,0,0,0,0] [6,2,3,5,1,4]=>{{1,6},{2},{3},{4,5}}=>[6,2,3,5,4,1]=>[1,1,1,1,1,1,0,0,0,0,0,0] [6,2,3,5,4,1]=>{{1,6},{2},{3},{4,5}}=>[6,2,3,5,4,1]=>[1,1,1,1,1,1,0,0,0,0,0,0] [6,2,4,1,3,5]=>{{1,6},{2},{3,4},{5}}=>[6,2,4,3,5,1]=>[1,1,1,1,1,1,0,0,0,0,0,0] [6,2,4,1,5,3]=>{{1,6},{2},{3,4},{5}}=>[6,2,4,3,5,1]=>[1,1,1,1,1,1,0,0,0,0,0,0] [6,2,4,3,1,5]=>{{1,6},{2},{3,4},{5}}=>[6,2,4,3,5,1]=>[1,1,1,1,1,1,0,0,0,0,0,0] [6,2,4,3,5,1]=>{{1,6},{2},{3,4},{5}}=>[6,2,4,3,5,1]=>[1,1,1,1,1,1,0,0,0,0,0,0] [6,2,4,5,1,3]=>{{1,6},{2},{3,4,5}}=>[6,2,4,5,3,1]=>[1,1,1,1,1,1,0,0,0,0,0,0] [6,2,4,5,3,1]=>{{1,6},{2},{3,4,5}}=>[6,2,4,5,3,1]=>[1,1,1,1,1,1,0,0,0,0,0,0] [6,2,5,1,3,4]=>{{1,6},{2},{3,5},{4}}=>[6,2,5,4,3,1]=>[1,1,1,1,1,1,0,0,0,0,0,0] [6,2,5,1,4,3]=>{{1,6},{2},{3,5},{4}}=>[6,2,5,4,3,1]=>[1,1,1,1,1,1,0,0,0,0,0,0] [6,2,5,3,1,4]=>{{1,6},{2},{3,5},{4}}=>[6,2,5,4,3,1]=>[1,1,1,1,1,1,0,0,0,0,0,0] [6,2,5,3,4,1]=>{{1,6},{2},{3,5},{4}}=>[6,2,5,4,3,1]=>[1,1,1,1,1,1,0,0,0,0,0,0] [6,2,5,4,1,3]=>{{1,6},{2},{3,5},{4}}=>[6,2,5,4,3,1]=>[1,1,1,1,1,1,0,0,0,0,0,0] [6,2,5,4,3,1]=>{{1,6},{2},{3,5},{4}}=>[6,2,5,4,3,1]=>[1,1,1,1,1,1,0,0,0,0,0,0] [6,3,1,2,4,5]=>{{1,6},{2,3},{4},{5}}=>[6,3,2,4,5,1]=>[1,1,1,1,1,1,0,0,0,0,0,0] [6,3,1,2,5,4]=>{{1,6},{2,3},{4},{5}}=>[6,3,2,4,5,1]=>[1,1,1,1,1,1,0,0,0,0,0,0] [6,3,1,4,2,5]=>{{1,6},{2,3},{4},{5}}=>[6,3,2,4,5,1]=>[1,1,1,1,1,1,0,0,0,0,0,0] [6,3,1,4,5,2]=>{{1,6},{2,3},{4},{5}}=>[6,3,2,4,5,1]=>[1,1,1,1,1,1,0,0,0,0,0,0] [6,3,1,5,2,4]=>{{1,6},{2,3},{4,5}}=>[6,3,2,5,4,1]=>[1,1,1,1,1,1,0,0,0,0,0,0] [6,3,1,5,4,2]=>{{1,6},{2,3},{4,5}}=>[6,3,2,5,4,1]=>[1,1,1,1,1,1,0,0,0,0,0,0] [6,3,2,1,4,5]=>{{1,6},{2,3},{4},{5}}=>[6,3,2,4,5,1]=>[1,1,1,1,1,1,0,0,0,0,0,0] [6,3,2,1,5,4]=>{{1,6},{2,3},{4},{5}}=>[6,3,2,4,5,1]=>[1,1,1,1,1,1,0,0,0,0,0,0] [6,3,2,4,1,5]=>{{1,6},{2,3},{4},{5}}=>[6,3,2,4,5,1]=>[1,1,1,1,1,1,0,0,0,0,0,0] [6,3,2,4,5,1]=>{{1,6},{2,3},{4},{5}}=>[6,3,2,4,5,1]=>[1,1,1,1,1,1,0,0,0,0,0,0] [6,3,2,5,1,4]=>{{1,6},{2,3},{4,5}}=>[6,3,2,5,4,1]=>[1,1,1,1,1,1,0,0,0,0,0,0] [6,3,2,5,4,1]=>{{1,6},{2,3},{4,5}}=>[6,3,2,5,4,1]=>[1,1,1,1,1,1,0,0,0,0,0,0] [6,3,4,1,2,5]=>{{1,6},{2,3,4},{5}}=>[6,3,4,2,5,1]=>[1,1,1,1,1,1,0,0,0,0,0,0] [6,3,4,1,5,2]=>{{1,6},{2,3,4},{5}}=>[6,3,4,2,5,1]=>[1,1,1,1,1,1,0,0,0,0,0,0] [6,3,4,2,1,5]=>{{1,6},{2,3,4},{5}}=>[6,3,4,2,5,1]=>[1,1,1,1,1,1,0,0,0,0,0,0] [6,3,4,2,5,1]=>{{1,6},{2,3,4},{5}}=>[6,3,4,2,5,1]=>[1,1,1,1,1,1,0,0,0,0,0,0] [6,3,4,5,1,2]=>{{1,6},{2,3,4,5}}=>[6,3,4,5,2,1]=>[1,1,1,1,1,1,0,0,0,0,0,0] [6,3,4,5,2,1]=>{{1,6},{2,3,4,5}}=>[6,3,4,5,2,1]=>[1,1,1,1,1,1,0,0,0,0,0,0] [6,3,5,1,2,4]=>{{1,6},{2,3,5},{4}}=>[6,3,5,4,2,1]=>[1,1,1,1,1,1,0,0,0,0,0,0] [6,3,5,1,4,2]=>{{1,6},{2,3,5},{4}}=>[6,3,5,4,2,1]=>[1,1,1,1,1,1,0,0,0,0,0,0] [6,3,5,2,1,4]=>{{1,6},{2,3,5},{4}}=>[6,3,5,4,2,1]=>[1,1,1,1,1,1,0,0,0,0,0,0] [6,3,5,2,4,1]=>{{1,6},{2,3,5},{4}}=>[6,3,5,4,2,1]=>[1,1,1,1,1,1,0,0,0,0,0,0] [6,3,5,4,1,2]=>{{1,6},{2,3,5},{4}}=>[6,3,5,4,2,1]=>[1,1,1,1,1,1,0,0,0,0,0,0] [6,3,5,4,2,1]=>{{1,6},{2,3,5},{4}}=>[6,3,5,4,2,1]=>[1,1,1,1,1,1,0,0,0,0,0,0] [6,4,1,2,3,5]=>{{1,6},{2,4},{3},{5}}=>[6,4,3,2,5,1]=>[1,1,1,1,1,1,0,0,0,0,0,0] [6,4,1,2,5,3]=>{{1,6},{2,4},{3},{5}}=>[6,4,3,2,5,1]=>[1,1,1,1,1,1,0,0,0,0,0,0] [6,4,1,3,2,5]=>{{1,6},{2,4},{3},{5}}=>[6,4,3,2,5,1]=>[1,1,1,1,1,1,0,0,0,0,0,0] [6,4,1,3,5,2]=>{{1,6},{2,4},{3},{5}}=>[6,4,3,2,5,1]=>[1,1,1,1,1,1,0,0,0,0,0,0] [6,4,1,5,2,3]=>{{1,6},{2,4,5},{3}}=>[6,4,3,5,2,1]=>[1,1,1,1,1,1,0,0,0,0,0,0] [6,4,1,5,3,2]=>{{1,6},{2,4,5},{3}}=>[6,4,3,5,2,1]=>[1,1,1,1,1,1,0,0,0,0,0,0] [6,4,2,1,3,5]=>{{1,6},{2,4},{3},{5}}=>[6,4,3,2,5,1]=>[1,1,1,1,1,1,0,0,0,0,0,0] [6,4,2,1,5,3]=>{{1,6},{2,4},{3},{5}}=>[6,4,3,2,5,1]=>[1,1,1,1,1,1,0,0,0,0,0,0] [6,4,2,3,1,5]=>{{1,6},{2,4},{3},{5}}=>[6,4,3,2,5,1]=>[1,1,1,1,1,1,0,0,0,0,0,0] [6,4,2,3,5,1]=>{{1,6},{2,4},{3},{5}}=>[6,4,3,2,5,1]=>[1,1,1,1,1,1,0,0,0,0,0,0] [6,4,2,5,1,3]=>{{1,6},{2,4,5},{3}}=>[6,4,3,5,2,1]=>[1,1,1,1,1,1,0,0,0,0,0,0] [6,4,2,5,3,1]=>{{1,6},{2,4,5},{3}}=>[6,4,3,5,2,1]=>[1,1,1,1,1,1,0,0,0,0,0,0] [6,4,3,1,2,5]=>{{1,6},{2,4},{3},{5}}=>[6,4,3,2,5,1]=>[1,1,1,1,1,1,0,0,0,0,0,0] [6,4,3,1,5,2]=>{{1,6},{2,4},{3},{5}}=>[6,4,3,2,5,1]=>[1,1,1,1,1,1,0,0,0,0,0,0] [6,4,3,2,1,5]=>{{1,6},{2,4},{3},{5}}=>[6,4,3,2,5,1]=>[1,1,1,1,1,1,0,0,0,0,0,0] [6,4,3,2,5,1]=>{{1,6},{2,4},{3},{5}}=>[6,4,3,2,5,1]=>[1,1,1,1,1,1,0,0,0,0,0,0] [6,4,3,5,1,2]=>{{1,6},{2,4,5},{3}}=>[6,4,3,5,2,1]=>[1,1,1,1,1,1,0,0,0,0,0,0] [6,4,3,5,2,1]=>{{1,6},{2,4,5},{3}}=>[6,4,3,5,2,1]=>[1,1,1,1,1,1,0,0,0,0,0,0] [6,4,5,1,2,3]=>{{1,6},{2,4},{3,5}}=>[6,4,5,2,3,1]=>[1,1,1,1,1,1,0,0,0,0,0,0] [6,4,5,1,3,2]=>{{1,6},{2,4},{3,5}}=>[6,4,5,2,3,1]=>[1,1,1,1,1,1,0,0,0,0,0,0] [6,4,5,2,1,3]=>{{1,6},{2,4},{3,5}}=>[6,4,5,2,3,1]=>[1,1,1,1,1,1,0,0,0,0,0,0] [6,4,5,2,3,1]=>{{1,6},{2,4},{3,5}}=>[6,4,5,2,3,1]=>[1,1,1,1,1,1,0,0,0,0,0,0] [6,4,5,3,1,2]=>{{1,6},{2,4},{3,5}}=>[6,4,5,2,3,1]=>[1,1,1,1,1,1,0,0,0,0,0,0] [6,4,5,3,2,1]=>{{1,6},{2,4},{3,5}}=>[6,4,5,2,3,1]=>[1,1,1,1,1,1,0,0,0,0,0,0] [6,5,1,2,3,4]=>{{1,6},{2,5},{3},{4}}=>[6,5,3,4,2,1]=>[1,1,1,1,1,1,0,0,0,0,0,0] [6,5,1,2,4,3]=>{{1,6},{2,5},{3},{4}}=>[6,5,3,4,2,1]=>[1,1,1,1,1,1,0,0,0,0,0,0] [6,5,1,3,2,4]=>{{1,6},{2,5},{3},{4}}=>[6,5,3,4,2,1]=>[1,1,1,1,1,1,0,0,0,0,0,0] [6,5,1,3,4,2]=>{{1,6},{2,5},{3},{4}}=>[6,5,3,4,2,1]=>[1,1,1,1,1,1,0,0,0,0,0,0] [6,5,1,4,2,3]=>{{1,6},{2,5},{3},{4}}=>[6,5,3,4,2,1]=>[1,1,1,1,1,1,0,0,0,0,0,0] [6,5,1,4,3,2]=>{{1,6},{2,5},{3},{4}}=>[6,5,3,4,2,1]=>[1,1,1,1,1,1,0,0,0,0,0,0] [6,5,2,1,3,4]=>{{1,6},{2,5},{3},{4}}=>[6,5,3,4,2,1]=>[1,1,1,1,1,1,0,0,0,0,0,0] [6,5,2,1,4,3]=>{{1,6},{2,5},{3},{4}}=>[6,5,3,4,2,1]=>[1,1,1,1,1,1,0,0,0,0,0,0] [6,5,2,3,1,4]=>{{1,6},{2,5},{3},{4}}=>[6,5,3,4,2,1]=>[1,1,1,1,1,1,0,0,0,0,0,0] [6,5,2,3,4,1]=>{{1,6},{2,5},{3},{4}}=>[6,5,3,4,2,1]=>[1,1,1,1,1,1,0,0,0,0,0,0] [6,5,2,4,1,3]=>{{1,6},{2,5},{3},{4}}=>[6,5,3,4,2,1]=>[1,1,1,1,1,1,0,0,0,0,0,0] [6,5,2,4,3,1]=>{{1,6},{2,5},{3},{4}}=>[6,5,3,4,2,1]=>[1,1,1,1,1,1,0,0,0,0,0,0] [6,5,3,1,2,4]=>{{1,6},{2,5},{3},{4}}=>[6,5,3,4,2,1]=>[1,1,1,1,1,1,0,0,0,0,0,0] [6,5,3,1,4,2]=>{{1,6},{2,5},{3},{4}}=>[6,5,3,4,2,1]=>[1,1,1,1,1,1,0,0,0,0,0,0] [6,5,3,2,1,4]=>{{1,6},{2,5},{3},{4}}=>[6,5,3,4,2,1]=>[1,1,1,1,1,1,0,0,0,0,0,0] [6,5,3,2,4,1]=>{{1,6},{2,5},{3},{4}}=>[6,5,3,4,2,1]=>[1,1,1,1,1,1,0,0,0,0,0,0] [6,5,3,4,1,2]=>{{1,6},{2,5},{3},{4}}=>[6,5,3,4,2,1]=>[1,1,1,1,1,1,0,0,0,0,0,0] [6,5,3,4,2,1]=>{{1,6},{2,5},{3},{4}}=>[6,5,3,4,2,1]=>[1,1,1,1,1,1,0,0,0,0,0,0] [6,5,4,1,2,3]=>{{1,6},{2,5},{3,4}}=>[6,5,4,3,2,1]=>[1,1,1,1,1,1,0,0,0,0,0,0] [6,5,4,1,3,2]=>{{1,6},{2,5},{3,4}}=>[6,5,4,3,2,1]=>[1,1,1,1,1,1,0,0,0,0,0,0] [6,5,4,2,1,3]=>{{1,6},{2,5},{3,4}}=>[6,5,4,3,2,1]=>[1,1,1,1,1,1,0,0,0,0,0,0] [6,5,4,2,3,1]=>{{1,6},{2,5},{3,4}}=>[6,5,4,3,2,1]=>[1,1,1,1,1,1,0,0,0,0,0,0] [6,5,4,3,1,2]=>{{1,6},{2,5},{3,4}}=>[6,5,4,3,2,1]=>[1,1,1,1,1,1,0,0,0,0,0,0] [6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>[6,5,4,3,2,1]=>[1,1,1,1,1,1,0,0,0,0,0,0] [1,2,3,4,5,6,7]=>{{1},{2},{3},{4},{5},{6},{7}}=>[1,2,3,4,5,6,7]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0] [1,2,3,4,5,7,6]=>{{1},{2},{3},{4},{5},{6,7}}=>[1,2,3,4,5,7,6]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,0] [1,2,3,4,6,5,7]=>{{1},{2},{3},{4},{5,6},{7}}=>[1,2,3,4,6,5,7]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,0] [1,2,3,4,6,7,5]=>{{1},{2},{3},{4},{5,6,7}}=>[1,2,3,4,6,7,5]=>[1,0,1,0,1,0,1,0,1,1,0,1,0,0] [1,2,3,4,7,5,6]=>{{1},{2},{3},{4},{5,7},{6}}=>[1,2,3,4,7,6,5]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0] [1,2,3,4,7,6,5]=>{{1},{2},{3},{4},{5,7},{6}}=>[1,2,3,4,7,6,5]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0] [1,2,3,5,4,6,7]=>{{1},{2},{3},{4,5},{6},{7}}=>[1,2,3,5,4,6,7]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0] [1,2,3,5,4,7,6]=>{{1},{2},{3},{4,5},{6,7}}=>[1,2,3,5,4,7,6]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0] [1,2,3,5,6,4,7]=>{{1},{2},{3},{4,5,6},{7}}=>[1,2,3,5,6,4,7]=>[1,0,1,0,1,0,1,1,0,1,0,0,1,0] [1,2,3,5,6,7,4]=>{{1},{2},{3},{4,5,6,7}}=>[1,2,3,5,6,7,4]=>[1,0,1,0,1,0,1,1,0,1,0,1,0,0] [1,2,3,5,7,4,6]=>{{1},{2},{3},{4,5,7},{6}}=>[1,2,3,5,7,6,4]=>[1,0,1,0,1,0,1,1,0,1,1,0,0,0] [1,2,3,5,7,6,4]=>{{1},{2},{3},{4,5,7},{6}}=>[1,2,3,5,7,6,4]=>[1,0,1,0,1,0,1,1,0,1,1,0,0,0] [1,2,3,6,4,5,7]=>{{1},{2},{3},{4,6},{5},{7}}=>[1,2,3,6,5,4,7]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0] [1,2,3,6,4,7,5]=>{{1},{2},{3},{4,6,7},{5}}=>[1,2,3,6,5,7,4]=>[1,0,1,0,1,0,1,1,1,0,0,1,0,0] [1,2,3,6,5,4,7]=>{{1},{2},{3},{4,6},{5},{7}}=>[1,2,3,6,5,4,7]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0] [1,2,3,6,5,7,4]=>{{1},{2},{3},{4,6,7},{5}}=>[1,2,3,6,5,7,4]=>[1,0,1,0,1,0,1,1,1,0,0,1,0,0] [1,2,3,6,7,4,5]=>{{1},{2},{3},{4,6},{5,7}}=>[1,2,3,6,7,4,5]=>[1,0,1,0,1,0,1,1,1,0,1,0,0,0] [1,2,3,6,7,5,4]=>{{1},{2},{3},{4,6},{5,7}}=>[1,2,3,6,7,4,5]=>[1,0,1,0,1,0,1,1,1,0,1,0,0,0] [1,2,3,7,4,5,6]=>{{1},{2},{3},{4,7},{5},{6}}=>[1,2,3,7,5,6,4]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0] [1,2,3,7,4,6,5]=>{{1},{2},{3},{4,7},{5},{6}}=>[1,2,3,7,5,6,4]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0] [1,2,3,7,5,4,6]=>{{1},{2},{3},{4,7},{5},{6}}=>[1,2,3,7,5,6,4]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0] [1,2,3,7,5,6,4]=>{{1},{2},{3},{4,7},{5},{6}}=>[1,2,3,7,5,6,4]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0] [1,2,3,7,6,4,5]=>{{1},{2},{3},{4,7},{5,6}}=>[1,2,3,7,6,5,4]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0] [1,2,3,7,6,5,4]=>{{1},{2},{3},{4,7},{5,6}}=>[1,2,3,7,6,5,4]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0] [1,2,4,3,5,6,7]=>{{1},{2},{3,4},{5},{6},{7}}=>[1,2,4,3,5,6,7]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0] [1,2,4,3,5,7,6]=>{{1},{2},{3,4},{5},{6,7}}=>[1,2,4,3,5,7,6]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0] [1,2,4,3,6,5,7]=>{{1},{2},{3,4},{5,6},{7}}=>[1,2,4,3,6,5,7]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0] [1,2,4,3,6,7,5]=>{{1},{2},{3,4},{5,6,7}}=>[1,2,4,3,6,7,5]=>[1,0,1,0,1,1,0,0,1,1,0,1,0,0] [1,2,4,3,7,5,6]=>{{1},{2},{3,4},{5,7},{6}}=>[1,2,4,3,7,6,5]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0] [1,2,4,3,7,6,5]=>{{1},{2},{3,4},{5,7},{6}}=>[1,2,4,3,7,6,5]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0] [1,2,4,5,3,6,7]=>{{1},{2},{3,4,5},{6},{7}}=>[1,2,4,5,3,6,7]=>[1,0,1,0,1,1,0,1,0,0,1,0,1,0] [1,2,4,5,3,7,6]=>{{1},{2},{3,4,5},{6,7}}=>[1,2,4,5,3,7,6]=>[1,0,1,0,1,1,0,1,0,0,1,1,0,0] [1,2,4,5,6,3,7]=>{{1},{2},{3,4,5,6},{7}}=>[1,2,4,5,6,3,7]=>[1,0,1,0,1,1,0,1,0,1,0,0,1,0] [1,2,4,5,6,7,3]=>{{1},{2},{3,4,5,6,7}}=>[1,2,4,5,6,7,3]=>[1,0,1,0,1,1,0,1,0,1,0,1,0,0] [1,2,4,5,7,3,6]=>{{1},{2},{3,4,5,7},{6}}=>[1,2,4,5,7,6,3]=>[1,0,1,0,1,1,0,1,0,1,1,0,0,0] [1,2,4,5,7,6,3]=>{{1},{2},{3,4,5,7},{6}}=>[1,2,4,5,7,6,3]=>[1,0,1,0,1,1,0,1,0,1,1,0,0,0] [1,2,4,6,3,5,7]=>{{1},{2},{3,4,6},{5},{7}}=>[1,2,4,6,5,3,7]=>[1,0,1,0,1,1,0,1,1,0,0,0,1,0] [1,2,4,6,3,7,5]=>{{1},{2},{3,4,6,7},{5}}=>[1,2,4,6,5,7,3]=>[1,0,1,0,1,1,0,1,1,0,0,1,0,0] [1,2,4,6,5,3,7]=>{{1},{2},{3,4,6},{5},{7}}=>[1,2,4,6,5,3,7]=>[1,0,1,0,1,1,0,1,1,0,0,0,1,0] [1,2,4,6,5,7,3]=>{{1},{2},{3,4,6,7},{5}}=>[1,2,4,6,5,7,3]=>[1,0,1,0,1,1,0,1,1,0,0,1,0,0] [1,2,4,6,7,3,5]=>{{1},{2},{3,4,6},{5,7}}=>[1,2,4,6,7,3,5]=>[1,0,1,0,1,1,0,1,1,0,1,0,0,0] [1,2,4,6,7,5,3]=>{{1},{2},{3,4,6},{5,7}}=>[1,2,4,6,7,3,5]=>[1,0,1,0,1,1,0,1,1,0,1,0,0,0] [1,2,4,7,3,5,6]=>{{1},{2},{3,4,7},{5},{6}}=>[1,2,4,7,5,6,3]=>[1,0,1,0,1,1,0,1,1,1,0,0,0,0] [1,2,4,7,3,6,5]=>{{1},{2},{3,4,7},{5},{6}}=>[1,2,4,7,5,6,3]=>[1,0,1,0,1,1,0,1,1,1,0,0,0,0] [1,2,4,7,5,3,6]=>{{1},{2},{3,4,7},{5},{6}}=>[1,2,4,7,5,6,3]=>[1,0,1,0,1,1,0,1,1,1,0,0,0,0] [1,2,4,7,5,6,3]=>{{1},{2},{3,4,7},{5},{6}}=>[1,2,4,7,5,6,3]=>[1,0,1,0,1,1,0,1,1,1,0,0,0,0] [1,2,4,7,6,3,5]=>{{1},{2},{3,4,7},{5,6}}=>[1,2,4,7,6,5,3]=>[1,0,1,0,1,1,0,1,1,1,0,0,0,0] [1,2,4,7,6,5,3]=>{{1},{2},{3,4,7},{5,6}}=>[1,2,4,7,6,5,3]=>[1,0,1,0,1,1,0,1,1,1,0,0,0,0] [1,2,5,3,4,6,7]=>{{1},{2},{3,5},{4},{6},{7}}=>[1,2,5,4,3,6,7]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0] [1,2,5,3,4,7,6]=>{{1},{2},{3,5},{4},{6,7}}=>[1,2,5,4,3,7,6]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0] [1,2,5,3,6,4,7]=>{{1},{2},{3,5,6},{4},{7}}=>[1,2,5,4,6,3,7]=>[1,0,1,0,1,1,1,0,0,1,0,0,1,0] [1,2,5,3,6,7,4]=>{{1},{2},{3,5,6,7},{4}}=>[1,2,5,4,6,7,3]=>[1,0,1,0,1,1,1,0,0,1,0,1,0,0] [1,2,5,3,7,4,6]=>{{1},{2},{3,5,7},{4},{6}}=>[1,2,5,4,7,6,3]=>[1,0,1,0,1,1,1,0,0,1,1,0,0,0] [1,2,5,3,7,6,4]=>{{1},{2},{3,5,7},{4},{6}}=>[1,2,5,4,7,6,3]=>[1,0,1,0,1,1,1,0,0,1,1,0,0,0] [1,2,5,4,3,6,7]=>{{1},{2},{3,5},{4},{6},{7}}=>[1,2,5,4,3,6,7]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0] [1,2,5,4,3,7,6]=>{{1},{2},{3,5},{4},{6,7}}=>[1,2,5,4,3,7,6]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0] [1,2,5,4,6,3,7]=>{{1},{2},{3,5,6},{4},{7}}=>[1,2,5,4,6,3,7]=>[1,0,1,0,1,1,1,0,0,1,0,0,1,0] [1,2,5,4,6,7,3]=>{{1},{2},{3,5,6,7},{4}}=>[1,2,5,4,6,7,3]=>[1,0,1,0,1,1,1,0,0,1,0,1,0,0] [1,2,5,4,7,3,6]=>{{1},{2},{3,5,7},{4},{6}}=>[1,2,5,4,7,6,3]=>[1,0,1,0,1,1,1,0,0,1,1,0,0,0] [1,2,5,4,7,6,3]=>{{1},{2},{3,5,7},{4},{6}}=>[1,2,5,4,7,6,3]=>[1,0,1,0,1,1,1,0,0,1,1,0,0,0] [1,2,5,6,3,4,7]=>{{1},{2},{3,5},{4,6},{7}}=>[1,2,5,6,3,4,7]=>[1,0,1,0,1,1,1,0,1,0,0,0,1,0] [1,2,5,6,3,7,4]=>{{1},{2},{3,5},{4,6,7}}=>[1,2,5,6,3,7,4]=>[1,0,1,0,1,1,1,0,1,0,0,1,0,0] [1,2,5,6,4,3,7]=>{{1},{2},{3,5},{4,6},{7}}=>[1,2,5,6,3,4,7]=>[1,0,1,0,1,1,1,0,1,0,0,0,1,0] [1,2,5,6,4,7,3]=>{{1},{2},{3,5},{4,6,7}}=>[1,2,5,6,3,7,4]=>[1,0,1,0,1,1,1,0,1,0,0,1,0,0] [1,2,5,6,7,3,4]=>{{1},{2},{3,5,7},{4,6}}=>[1,2,5,6,7,4,3]=>[1,0,1,0,1,1,1,0,1,0,1,0,0,0] [1,2,5,6,7,4,3]=>{{1},{2},{3,5,7},{4,6}}=>[1,2,5,6,7,4,3]=>[1,0,1,0,1,1,1,0,1,0,1,0,0,0] [1,2,5,7,3,4,6]=>{{1},{2},{3,5},{4,7},{6}}=>[1,2,5,7,3,6,4]=>[1,0,1,0,1,1,1,0,1,1,0,0,0,0] [1,2,5,7,3,6,4]=>{{1},{2},{3,5},{4,7},{6}}=>[1,2,5,7,3,6,4]=>[1,0,1,0,1,1,1,0,1,1,0,0,0,0] [1,2,5,7,4,3,6]=>{{1},{2},{3,5},{4,7},{6}}=>[1,2,5,7,3,6,4]=>[1,0,1,0,1,1,1,0,1,1,0,0,0,0] [1,2,5,7,4,6,3]=>{{1},{2},{3,5},{4,7},{6}}=>[1,2,5,7,3,6,4]=>[1,0,1,0,1,1,1,0,1,1,0,0,0,0] [1,2,5,7,6,3,4]=>{{1},{2},{3,5,6},{4,7}}=>[1,2,5,7,6,3,4]=>[1,0,1,0,1,1,1,0,1,1,0,0,0,0] [1,2,5,7,6,4,3]=>{{1},{2},{3,5,6},{4,7}}=>[1,2,5,7,6,3,4]=>[1,0,1,0,1,1,1,0,1,1,0,0,0,0] [1,2,6,3,4,5,7]=>{{1},{2},{3,6},{4},{5},{7}}=>[1,2,6,4,5,3,7]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0] [1,2,6,3,4,7,5]=>{{1},{2},{3,6,7},{4},{5}}=>[1,2,6,4,5,7,3]=>[1,0,1,0,1,1,1,1,0,0,0,1,0,0] [1,2,6,3,5,4,7]=>{{1},{2},{3,6},{4},{5},{7}}=>[1,2,6,4,5,3,7]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0] [1,2,6,3,5,7,4]=>{{1},{2},{3,6,7},{4},{5}}=>[1,2,6,4,5,7,3]=>[1,0,1,0,1,1,1,1,0,0,0,1,0,0] [1,2,6,3,7,4,5]=>{{1},{2},{3,6},{4},{5,7}}=>[1,2,6,4,7,3,5]=>[1,0,1,0,1,1,1,1,0,0,1,0,0,0] [1,2,6,3,7,5,4]=>{{1},{2},{3,6},{4},{5,7}}=>[1,2,6,4,7,3,5]=>[1,0,1,0,1,1,1,1,0,0,1,0,0,0] [1,2,6,4,3,5,7]=>{{1},{2},{3,6},{4},{5},{7}}=>[1,2,6,4,5,3,7]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0] [1,2,6,4,3,7,5]=>{{1},{2},{3,6,7},{4},{5}}=>[1,2,6,4,5,7,3]=>[1,0,1,0,1,1,1,1,0,0,0,1,0,0] [1,2,6,4,5,3,7]=>{{1},{2},{3,6},{4},{5},{7}}=>[1,2,6,4,5,3,7]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0] [1,2,6,4,5,7,3]=>{{1},{2},{3,6,7},{4},{5}}=>[1,2,6,4,5,7,3]=>[1,0,1,0,1,1,1,1,0,0,0,1,0,0] [1,2,6,4,7,3,5]=>{{1},{2},{3,6},{4},{5,7}}=>[1,2,6,4,7,3,5]=>[1,0,1,0,1,1,1,1,0,0,1,0,0,0] [1,2,6,4,7,5,3]=>{{1},{2},{3,6},{4},{5,7}}=>[1,2,6,4,7,3,5]=>[1,0,1,0,1,1,1,1,0,0,1,0,0,0] [1,2,6,5,3,4,7]=>{{1},{2},{3,6},{4,5},{7}}=>[1,2,6,5,4,3,7]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0] [1,2,6,5,3,7,4]=>{{1},{2},{3,6,7},{4,5}}=>[1,2,6,5,4,7,3]=>[1,0,1,0,1,1,1,1,0,0,0,1,0,0] [1,2,6,5,4,3,7]=>{{1},{2},{3,6},{4,5},{7}}=>[1,2,6,5,4,3,7]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0] [1,2,6,5,4,7,3]=>{{1},{2},{3,6,7},{4,5}}=>[1,2,6,5,4,7,3]=>[1,0,1,0,1,1,1,1,0,0,0,1,0,0] [1,2,6,5,7,3,4]=>{{1},{2},{3,6},{4,5,7}}=>[1,2,6,5,7,3,4]=>[1,0,1,0,1,1,1,1,0,0,1,0,0,0] [1,2,6,5,7,4,3]=>{{1},{2},{3,6},{4,5,7}}=>[1,2,6,5,7,3,4]=>[1,0,1,0,1,1,1,1,0,0,1,0,0,0] [1,2,6,7,3,4,5]=>{{1},{2},{3,6},{4,7},{5}}=>[1,2,6,7,5,3,4]=>[1,0,1,0,1,1,1,1,0,1,0,0,0,0] [1,2,6,7,3,5,4]=>{{1},{2},{3,6},{4,7},{5}}=>[1,2,6,7,5,3,4]=>[1,0,1,0,1,1,1,1,0,1,0,0,0,0] [1,2,6,7,4,3,5]=>{{1},{2},{3,6},{4,7},{5}}=>[1,2,6,7,5,3,4]=>[1,0,1,0,1,1,1,1,0,1,0,0,0,0] [1,2,6,7,4,5,3]=>{{1},{2},{3,6},{4,7},{5}}=>[1,2,6,7,5,3,4]=>[1,0,1,0,1,1,1,1,0,1,0,0,0,0] [1,2,6,7,5,3,4]=>{{1},{2},{3,6},{4,7},{5}}=>[1,2,6,7,5,3,4]=>[1,0,1,0,1,1,1,1,0,1,0,0,0,0] [1,2,6,7,5,4,3]=>{{1},{2},{3,6},{4,7},{5}}=>[1,2,6,7,5,3,4]=>[1,0,1,0,1,1,1,1,0,1,0,0,0,0] [1,2,7,3,4,5,6]=>{{1},{2},{3,7},{4},{5},{6}}=>[1,2,7,4,5,6,3]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0] [1,2,7,3,4,6,5]=>{{1},{2},{3,7},{4},{5},{6}}=>[1,2,7,4,5,6,3]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0] [1,2,7,3,5,4,6]=>{{1},{2},{3,7},{4},{5},{6}}=>[1,2,7,4,5,6,3]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0] [1,2,7,3,5,6,4]=>{{1},{2},{3,7},{4},{5},{6}}=>[1,2,7,4,5,6,3]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0] [1,2,7,3,6,4,5]=>{{1},{2},{3,7},{4},{5,6}}=>[1,2,7,4,6,5,3]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0] [1,2,7,3,6,5,4]=>{{1},{2},{3,7},{4},{5,6}}=>[1,2,7,4,6,5,3]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0] [1,2,7,4,3,5,6]=>{{1},{2},{3,7},{4},{5},{6}}=>[1,2,7,4,5,6,3]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0] [1,2,7,4,3,6,5]=>{{1},{2},{3,7},{4},{5},{6}}=>[1,2,7,4,5,6,3]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0] [1,2,7,4,5,3,6]=>{{1},{2},{3,7},{4},{5},{6}}=>[1,2,7,4,5,6,3]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0] [1,2,7,4,5,6,3]=>{{1},{2},{3,7},{4},{5},{6}}=>[1,2,7,4,5,6,3]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0] [1,2,7,4,6,3,5]=>{{1},{2},{3,7},{4},{5,6}}=>[1,2,7,4,6,5,3]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0] [1,2,7,4,6,5,3]=>{{1},{2},{3,7},{4},{5,6}}=>[1,2,7,4,6,5,3]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0] [1,2,7,5,3,4,6]=>{{1},{2},{3,7},{4,5},{6}}=>[1,2,7,5,4,6,3]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0] [1,2,7,5,3,6,4]=>{{1},{2},{3,7},{4,5},{6}}=>[1,2,7,5,4,6,3]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0] [1,2,7,5,4,3,6]=>{{1},{2},{3,7},{4,5},{6}}=>[1,2,7,5,4,6,3]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0] [1,2,7,5,4,6,3]=>{{1},{2},{3,7},{4,5},{6}}=>[1,2,7,5,4,6,3]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0] [1,2,7,5,6,3,4]=>{{1},{2},{3,7},{4,5,6}}=>[1,2,7,5,6,4,3]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0] [1,2,7,5,6,4,3]=>{{1},{2},{3,7},{4,5,6}}=>[1,2,7,5,6,4,3]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0] [1,2,7,6,3,4,5]=>{{1},{2},{3,7},{4,6},{5}}=>[1,2,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0] [1,2,7,6,3,5,4]=>{{1},{2},{3,7},{4,6},{5}}=>[1,2,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0] [1,2,7,6,4,3,5]=>{{1},{2},{3,7},{4,6},{5}}=>[1,2,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0] [1,2,7,6,4,5,3]=>{{1},{2},{3,7},{4,6},{5}}=>[1,2,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0] [1,2,7,6,5,3,4]=>{{1},{2},{3,7},{4,6},{5}}=>[1,2,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0] [1,2,7,6,5,4,3]=>{{1},{2},{3,7},{4,6},{5}}=>[1,2,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0] [1,3,2,4,5,6,7]=>{{1},{2,3},{4},{5},{6},{7}}=>[1,3,2,4,5,6,7]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,0] [1,3,2,4,5,7,6]=>{{1},{2,3},{4},{5},{6,7}}=>[1,3,2,4,5,7,6]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0] [1,3,2,4,6,5,7]=>{{1},{2,3},{4},{5,6},{7}}=>[1,3,2,4,6,5,7]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0] [1,3,2,4,6,7,5]=>{{1},{2,3},{4},{5,6,7}}=>[1,3,2,4,6,7,5]=>[1,0,1,1,0,0,1,0,1,1,0,1,0,0] [1,3,2,4,7,5,6]=>{{1},{2,3},{4},{5,7},{6}}=>[1,3,2,4,7,6,5]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0] [1,3,2,4,7,6,5]=>{{1},{2,3},{4},{5,7},{6}}=>[1,3,2,4,7,6,5]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0] [1,3,2,5,4,6,7]=>{{1},{2,3},{4,5},{6},{7}}=>[1,3,2,5,4,6,7]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0] [1,3,2,5,4,7,6]=>{{1},{2,3},{4,5},{6,7}}=>[1,3,2,5,4,7,6]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0] [1,3,2,5,6,4,7]=>{{1},{2,3},{4,5,6},{7}}=>[1,3,2,5,6,4,7]=>[1,0,1,1,0,0,1,1,0,1,0,0,1,0] [1,3,2,5,6,7,4]=>{{1},{2,3},{4,5,6,7}}=>[1,3,2,5,6,7,4]=>[1,0,1,1,0,0,1,1,0,1,0,1,0,0] [1,3,2,5,7,4,6]=>{{1},{2,3},{4,5,7},{6}}=>[1,3,2,5,7,6,4]=>[1,0,1,1,0,0,1,1,0,1,1,0,0,0] [1,3,2,5,7,6,4]=>{{1},{2,3},{4,5,7},{6}}=>[1,3,2,5,7,6,4]=>[1,0,1,1,0,0,1,1,0,1,1,0,0,0] [1,3,2,6,4,5,7]=>{{1},{2,3},{4,6},{5},{7}}=>[1,3,2,6,5,4,7]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0] [1,3,2,6,4,7,5]=>{{1},{2,3},{4,6,7},{5}}=>[1,3,2,6,5,7,4]=>[1,0,1,1,0,0,1,1,1,0,0,1,0,0] [1,3,2,6,5,4,7]=>{{1},{2,3},{4,6},{5},{7}}=>[1,3,2,6,5,4,7]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0] [1,3,2,6,5,7,4]=>{{1},{2,3},{4,6,7},{5}}=>[1,3,2,6,5,7,4]=>[1,0,1,1,0,0,1,1,1,0,0,1,0,0] [1,3,2,6,7,4,5]=>{{1},{2,3},{4,6},{5,7}}=>[1,3,2,6,7,4,5]=>[1,0,1,1,0,0,1,1,1,0,1,0,0,0] [1,3,2,6,7,5,4]=>{{1},{2,3},{4,6},{5,7}}=>[1,3,2,6,7,4,5]=>[1,0,1,1,0,0,1,1,1,0,1,0,0,0] [1,3,2,7,4,5,6]=>{{1},{2,3},{4,7},{5},{6}}=>[1,3,2,7,5,6,4]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0] [1,3,2,7,4,6,5]=>{{1},{2,3},{4,7},{5},{6}}=>[1,3,2,7,5,6,4]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0] [1,3,2,7,5,4,6]=>{{1},{2,3},{4,7},{5},{6}}=>[1,3,2,7,5,6,4]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0] [1,3,2,7,5,6,4]=>{{1},{2,3},{4,7},{5},{6}}=>[1,3,2,7,5,6,4]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0] [1,3,2,7,6,4,5]=>{{1},{2,3},{4,7},{5,6}}=>[1,3,2,7,6,5,4]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0] [1,3,2,7,6,5,4]=>{{1},{2,3},{4,7},{5,6}}=>[1,3,2,7,6,5,4]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0] [1,3,4,2,5,6,7]=>{{1},{2,3,4},{5},{6},{7}}=>[1,3,4,2,5,6,7]=>[1,0,1,1,0,1,0,0,1,0,1,0,1,0] [1,3,4,2,5,7,6]=>{{1},{2,3,4},{5},{6,7}}=>[1,3,4,2,5,7,6]=>[1,0,1,1,0,1,0,0,1,0,1,1,0,0] [1,3,4,2,6,5,7]=>{{1},{2,3,4},{5,6},{7}}=>[1,3,4,2,6,5,7]=>[1,0,1,1,0,1,0,0,1,1,0,0,1,0] [1,3,4,2,6,7,5]=>{{1},{2,3,4},{5,6,7}}=>[1,3,4,2,6,7,5]=>[1,0,1,1,0,1,0,0,1,1,0,1,0,0] [1,3,4,2,7,5,6]=>{{1},{2,3,4},{5,7},{6}}=>[1,3,4,2,7,6,5]=>[1,0,1,1,0,1,0,0,1,1,1,0,0,0] [1,3,4,2,7,6,5]=>{{1},{2,3,4},{5,7},{6}}=>[1,3,4,2,7,6,5]=>[1,0,1,1,0,1,0,0,1,1,1,0,0,0] [1,3,4,5,2,6,7]=>{{1},{2,3,4,5},{6},{7}}=>[1,3,4,5,2,6,7]=>[1,0,1,1,0,1,0,1,0,0,1,0,1,0] [1,3,4,5,2,7,6]=>{{1},{2,3,4,5},{6,7}}=>[1,3,4,5,2,7,6]=>[1,0,1,1,0,1,0,1,0,0,1,1,0,0] [1,3,4,5,6,2,7]=>{{1},{2,3,4,5,6},{7}}=>[1,3,4,5,6,2,7]=>[1,0,1,1,0,1,0,1,0,1,0,0,1,0] [1,3,4,5,6,7,2]=>{{1},{2,3,4,5,6,7}}=>[1,3,4,5,6,7,2]=>[1,0,1,1,0,1,0,1,0,1,0,1,0,0] [1,3,4,5,7,2,6]=>{{1},{2,3,4,5,7},{6}}=>[1,3,4,5,7,6,2]=>[1,0,1,1,0,1,0,1,0,1,1,0,0,0] [1,3,4,5,7,6,2]=>{{1},{2,3,4,5,7},{6}}=>[1,3,4,5,7,6,2]=>[1,0,1,1,0,1,0,1,0,1,1,0,0,0] [1,3,4,6,2,5,7]=>{{1},{2,3,4,6},{5},{7}}=>[1,3,4,6,5,2,7]=>[1,0,1,1,0,1,0,1,1,0,0,0,1,0] [1,3,4,6,2,7,5]=>{{1},{2,3,4,6,7},{5}}=>[1,3,4,6,5,7,2]=>[1,0,1,1,0,1,0,1,1,0,0,1,0,0] [1,3,4,6,5,2,7]=>{{1},{2,3,4,6},{5},{7}}=>[1,3,4,6,5,2,7]=>[1,0,1,1,0,1,0,1,1,0,0,0,1,0] [1,3,4,6,5,7,2]=>{{1},{2,3,4,6,7},{5}}=>[1,3,4,6,5,7,2]=>[1,0,1,1,0,1,0,1,1,0,0,1,0,0] [1,3,4,6,7,2,5]=>{{1},{2,3,4,6},{5,7}}=>[1,3,4,6,7,2,5]=>[1,0,1,1,0,1,0,1,1,0,1,0,0,0] [1,3,4,6,7,5,2]=>{{1},{2,3,4,6},{5,7}}=>[1,3,4,6,7,2,5]=>[1,0,1,1,0,1,0,1,1,0,1,0,0,0] [1,3,4,7,2,5,6]=>{{1},{2,3,4,7},{5},{6}}=>[1,3,4,7,5,6,2]=>[1,0,1,1,0,1,0,1,1,1,0,0,0,0] [1,3,4,7,2,6,5]=>{{1},{2,3,4,7},{5},{6}}=>[1,3,4,7,5,6,2]=>[1,0,1,1,0,1,0,1,1,1,0,0,0,0] [1,3,4,7,5,2,6]=>{{1},{2,3,4,7},{5},{6}}=>[1,3,4,7,5,6,2]=>[1,0,1,1,0,1,0,1,1,1,0,0,0,0] [1,3,4,7,5,6,2]=>{{1},{2,3,4,7},{5},{6}}=>[1,3,4,7,5,6,2]=>[1,0,1,1,0,1,0,1,1,1,0,0,0,0] [1,3,4,7,6,2,5]=>{{1},{2,3,4,7},{5,6}}=>[1,3,4,7,6,5,2]=>[1,0,1,1,0,1,0,1,1,1,0,0,0,0] [1,3,4,7,6,5,2]=>{{1},{2,3,4,7},{5,6}}=>[1,3,4,7,6,5,2]=>[1,0,1,1,0,1,0,1,1,1,0,0,0,0] [1,3,5,2,4,6,7]=>{{1},{2,3,5},{4},{6},{7}}=>[1,3,5,4,2,6,7]=>[1,0,1,1,0,1,1,0,0,0,1,0,1,0] [1,3,5,2,4,7,6]=>{{1},{2,3,5},{4},{6,7}}=>[1,3,5,4,2,7,6]=>[1,0,1,1,0,1,1,0,0,0,1,1,0,0] [1,3,5,2,6,4,7]=>{{1},{2,3,5,6},{4},{7}}=>[1,3,5,4,6,2,7]=>[1,0,1,1,0,1,1,0,0,1,0,0,1,0] [1,3,5,2,6,7,4]=>{{1},{2,3,5,6,7},{4}}=>[1,3,5,4,6,7,2]=>[1,0,1,1,0,1,1,0,0,1,0,1,0,0] [1,3,5,2,7,4,6]=>{{1},{2,3,5,7},{4},{6}}=>[1,3,5,4,7,6,2]=>[1,0,1,1,0,1,1,0,0,1,1,0,0,0] [1,3,5,2,7,6,4]=>{{1},{2,3,5,7},{4},{6}}=>[1,3,5,4,7,6,2]=>[1,0,1,1,0,1,1,0,0,1,1,0,0,0] [1,3,5,4,2,6,7]=>{{1},{2,3,5},{4},{6},{7}}=>[1,3,5,4,2,6,7]=>[1,0,1,1,0,1,1,0,0,0,1,0,1,0] [1,3,5,4,2,7,6]=>{{1},{2,3,5},{4},{6,7}}=>[1,3,5,4,2,7,6]=>[1,0,1,1,0,1,1,0,0,0,1,1,0,0] [1,3,5,4,6,2,7]=>{{1},{2,3,5,6},{4},{7}}=>[1,3,5,4,6,2,7]=>[1,0,1,1,0,1,1,0,0,1,0,0,1,0] [1,3,5,4,6,7,2]=>{{1},{2,3,5,6,7},{4}}=>[1,3,5,4,6,7,2]=>[1,0,1,1,0,1,1,0,0,1,0,1,0,0] [1,3,5,4,7,2,6]=>{{1},{2,3,5,7},{4},{6}}=>[1,3,5,4,7,6,2]=>[1,0,1,1,0,1,1,0,0,1,1,0,0,0] [1,3,5,4,7,6,2]=>{{1},{2,3,5,7},{4},{6}}=>[1,3,5,4,7,6,2]=>[1,0,1,1,0,1,1,0,0,1,1,0,0,0] [1,3,5,6,2,4,7]=>{{1},{2,3,5},{4,6},{7}}=>[1,3,5,6,2,4,7]=>[1,0,1,1,0,1,1,0,1,0,0,0,1,0] [1,3,5,6,2,7,4]=>{{1},{2,3,5},{4,6,7}}=>[1,3,5,6,2,7,4]=>[1,0,1,1,0,1,1,0,1,0,0,1,0,0] [1,3,5,6,4,2,7]=>{{1},{2,3,5},{4,6},{7}}=>[1,3,5,6,2,4,7]=>[1,0,1,1,0,1,1,0,1,0,0,0,1,0] [1,3,5,6,4,7,2]=>{{1},{2,3,5},{4,6,7}}=>[1,3,5,6,2,7,4]=>[1,0,1,1,0,1,1,0,1,0,0,1,0,0] [1,3,5,6,7,2,4]=>{{1},{2,3,5,7},{4,6}}=>[1,3,5,6,7,4,2]=>[1,0,1,1,0,1,1,0,1,0,1,0,0,0] [1,3,5,6,7,4,2]=>{{1},{2,3,5,7},{4,6}}=>[1,3,5,6,7,4,2]=>[1,0,1,1,0,1,1,0,1,0,1,0,0,0] [1,3,5,7,2,4,6]=>{{1},{2,3,5},{4,7},{6}}=>[1,3,5,7,2,6,4]=>[1,0,1,1,0,1,1,0,1,1,0,0,0,0] [1,3,5,7,2,6,4]=>{{1},{2,3,5},{4,7},{6}}=>[1,3,5,7,2,6,4]=>[1,0,1,1,0,1,1,0,1,1,0,0,0,0] [1,3,5,7,4,2,6]=>{{1},{2,3,5},{4,7},{6}}=>[1,3,5,7,2,6,4]=>[1,0,1,1,0,1,1,0,1,1,0,0,0,0] [1,3,5,7,4,6,2]=>{{1},{2,3,5},{4,7},{6}}=>[1,3,5,7,2,6,4]=>[1,0,1,1,0,1,1,0,1,1,0,0,0,0] [1,3,5,7,6,2,4]=>{{1},{2,3,5,6},{4,7}}=>[1,3,5,7,6,2,4]=>[1,0,1,1,0,1,1,0,1,1,0,0,0,0] [1,3,5,7,6,4,2]=>{{1},{2,3,5,6},{4,7}}=>[1,3,5,7,6,2,4]=>[1,0,1,1,0,1,1,0,1,1,0,0,0,0] [1,3,6,2,4,5,7]=>{{1},{2,3,6},{4},{5},{7}}=>[1,3,6,4,5,2,7]=>[1,0,1,1,0,1,1,1,0,0,0,0,1,0] [1,3,6,2,4,7,5]=>{{1},{2,3,6,7},{4},{5}}=>[1,3,6,4,5,7,2]=>[1,0,1,1,0,1,1,1,0,0,0,1,0,0] [1,3,6,2,5,4,7]=>{{1},{2,3,6},{4},{5},{7}}=>[1,3,6,4,5,2,7]=>[1,0,1,1,0,1,1,1,0,0,0,0,1,0] [1,3,6,2,5,7,4]=>{{1},{2,3,6,7},{4},{5}}=>[1,3,6,4,5,7,2]=>[1,0,1,1,0,1,1,1,0,0,0,1,0,0] [1,3,6,2,7,4,5]=>{{1},{2,3,6},{4},{5,7}}=>[1,3,6,4,7,2,5]=>[1,0,1,1,0,1,1,1,0,0,1,0,0,0] [1,3,6,2,7,5,4]=>{{1},{2,3,6},{4},{5,7}}=>[1,3,6,4,7,2,5]=>[1,0,1,1,0,1,1,1,0,0,1,0,0,0] [1,3,6,4,2,5,7]=>{{1},{2,3,6},{4},{5},{7}}=>[1,3,6,4,5,2,7]=>[1,0,1,1,0,1,1,1,0,0,0,0,1,0] [1,3,6,4,2,7,5]=>{{1},{2,3,6,7},{4},{5}}=>[1,3,6,4,5,7,2]=>[1,0,1,1,0,1,1,1,0,0,0,1,0,0] [1,3,6,4,5,2,7]=>{{1},{2,3,6},{4},{5},{7}}=>[1,3,6,4,5,2,7]=>[1,0,1,1,0,1,1,1,0,0,0,0,1,0] [1,3,6,4,5,7,2]=>{{1},{2,3,6,7},{4},{5}}=>[1,3,6,4,5,7,2]=>[1,0,1,1,0,1,1,1,0,0,0,1,0,0] [1,3,6,4,7,2,5]=>{{1},{2,3,6},{4},{5,7}}=>[1,3,6,4,7,2,5]=>[1,0,1,1,0,1,1,1,0,0,1,0,0,0] [1,3,6,4,7,5,2]=>{{1},{2,3,6},{4},{5,7}}=>[1,3,6,4,7,2,5]=>[1,0,1,1,0,1,1,1,0,0,1,0,0,0] [1,3,6,5,2,4,7]=>{{1},{2,3,6},{4,5},{7}}=>[1,3,6,5,4,2,7]=>[1,0,1,1,0,1,1,1,0,0,0,0,1,0] [1,3,6,5,2,7,4]=>{{1},{2,3,6,7},{4,5}}=>[1,3,6,5,4,7,2]=>[1,0,1,1,0,1,1,1,0,0,0,1,0,0] [1,3,6,5,4,2,7]=>{{1},{2,3,6},{4,5},{7}}=>[1,3,6,5,4,2,7]=>[1,0,1,1,0,1,1,1,0,0,0,0,1,0] [1,3,6,5,4,7,2]=>{{1},{2,3,6,7},{4,5}}=>[1,3,6,5,4,7,2]=>[1,0,1,1,0,1,1,1,0,0,0,1,0,0] [1,3,6,5,7,2,4]=>{{1},{2,3,6},{4,5,7}}=>[1,3,6,5,7,2,4]=>[1,0,1,1,0,1,1,1,0,0,1,0,0,0] [1,3,6,5,7,4,2]=>{{1},{2,3,6},{4,5,7}}=>[1,3,6,5,7,2,4]=>[1,0,1,1,0,1,1,1,0,0,1,0,0,0] [1,3,6,7,2,4,5]=>{{1},{2,3,6},{4,7},{5}}=>[1,3,6,7,5,2,4]=>[1,0,1,1,0,1,1,1,0,1,0,0,0,0] [1,3,6,7,2,5,4]=>{{1},{2,3,6},{4,7},{5}}=>[1,3,6,7,5,2,4]=>[1,0,1,1,0,1,1,1,0,1,0,0,0,0] [1,3,6,7,4,2,5]=>{{1},{2,3,6},{4,7},{5}}=>[1,3,6,7,5,2,4]=>[1,0,1,1,0,1,1,1,0,1,0,0,0,0] [1,3,6,7,4,5,2]=>{{1},{2,3,6},{4,7},{5}}=>[1,3,6,7,5,2,4]=>[1,0,1,1,0,1,1,1,0,1,0,0,0,0] [1,3,6,7,5,2,4]=>{{1},{2,3,6},{4,7},{5}}=>[1,3,6,7,5,2,4]=>[1,0,1,1,0,1,1,1,0,1,0,0,0,0] [1,3,6,7,5,4,2]=>{{1},{2,3,6},{4,7},{5}}=>[1,3,6,7,5,2,4]=>[1,0,1,1,0,1,1,1,0,1,0,0,0,0] [1,3,7,2,4,5,6]=>{{1},{2,3,7},{4},{5},{6}}=>[1,3,7,4,5,6,2]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0] [1,3,7,2,4,6,5]=>{{1},{2,3,7},{4},{5},{6}}=>[1,3,7,4,5,6,2]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0] [1,3,7,2,5,4,6]=>{{1},{2,3,7},{4},{5},{6}}=>[1,3,7,4,5,6,2]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0] [1,3,7,2,5,6,4]=>{{1},{2,3,7},{4},{5},{6}}=>[1,3,7,4,5,6,2]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0] [1,3,7,2,6,4,5]=>{{1},{2,3,7},{4},{5,6}}=>[1,3,7,4,6,5,2]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0] [1,3,7,2,6,5,4]=>{{1},{2,3,7},{4},{5,6}}=>[1,3,7,4,6,5,2]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0] [1,3,7,4,2,5,6]=>{{1},{2,3,7},{4},{5},{6}}=>[1,3,7,4,5,6,2]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0] [1,3,7,4,2,6,5]=>{{1},{2,3,7},{4},{5},{6}}=>[1,3,7,4,5,6,2]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0] [1,3,7,4,5,2,6]=>{{1},{2,3,7},{4},{5},{6}}=>[1,3,7,4,5,6,2]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0] [1,3,7,4,5,6,2]=>{{1},{2,3,7},{4},{5},{6}}=>[1,3,7,4,5,6,2]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0] [1,3,7,4,6,2,5]=>{{1},{2,3,7},{4},{5,6}}=>[1,3,7,4,6,5,2]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0] [1,3,7,4,6,5,2]=>{{1},{2,3,7},{4},{5,6}}=>[1,3,7,4,6,5,2]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0] [1,3,7,5,2,4,6]=>{{1},{2,3,7},{4,5},{6}}=>[1,3,7,5,4,6,2]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0] [1,3,7,5,2,6,4]=>{{1},{2,3,7},{4,5},{6}}=>[1,3,7,5,4,6,2]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0] [1,3,7,5,4,2,6]=>{{1},{2,3,7},{4,5},{6}}=>[1,3,7,5,4,6,2]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0] [1,3,7,5,4,6,2]=>{{1},{2,3,7},{4,5},{6}}=>[1,3,7,5,4,6,2]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0] [1,3,7,5,6,2,4]=>{{1},{2,3,7},{4,5,6}}=>[1,3,7,5,6,4,2]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0] [1,3,7,5,6,4,2]=>{{1},{2,3,7},{4,5,6}}=>[1,3,7,5,6,4,2]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0] [1,3,7,6,2,4,5]=>{{1},{2,3,7},{4,6},{5}}=>[1,3,7,6,5,4,2]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0] [1,3,7,6,2,5,4]=>{{1},{2,3,7},{4,6},{5}}=>[1,3,7,6,5,4,2]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0] [1,3,7,6,4,2,5]=>{{1},{2,3,7},{4,6},{5}}=>[1,3,7,6,5,4,2]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0] [1,3,7,6,4,5,2]=>{{1},{2,3,7},{4,6},{5}}=>[1,3,7,6,5,4,2]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0] [1,3,7,6,5,2,4]=>{{1},{2,3,7},{4,6},{5}}=>[1,3,7,6,5,4,2]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0] [1,3,7,6,5,4,2]=>{{1},{2,3,7},{4,6},{5}}=>[1,3,7,6,5,4,2]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0] [1,4,2,3,5,6,7]=>{{1},{2,4},{3},{5},{6},{7}}=>[1,4,3,2,5,6,7]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0] [1,4,2,3,5,7,6]=>{{1},{2,4},{3},{5},{6,7}}=>[1,4,3,2,5,7,6]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0] [1,4,2,3,6,5,7]=>{{1},{2,4},{3},{5,6},{7}}=>[1,4,3,2,6,5,7]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0] [1,4,2,3,6,7,5]=>{{1},{2,4},{3},{5,6,7}}=>[1,4,3,2,6,7,5]=>[1,0,1,1,1,0,0,0,1,1,0,1,0,0] [1,4,2,3,7,5,6]=>{{1},{2,4},{3},{5,7},{6}}=>[1,4,3,2,7,6,5]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0] [1,4,2,3,7,6,5]=>{{1},{2,4},{3},{5,7},{6}}=>[1,4,3,2,7,6,5]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0] [1,4,2,5,3,6,7]=>{{1},{2,4,5},{3},{6},{7}}=>[1,4,3,5,2,6,7]=>[1,0,1,1,1,0,0,1,0,0,1,0,1,0] [1,4,2,5,3,7,6]=>{{1},{2,4,5},{3},{6,7}}=>[1,4,3,5,2,7,6]=>[1,0,1,1,1,0,0,1,0,0,1,1,0,0] [1,4,2,5,6,3,7]=>{{1},{2,4,5,6},{3},{7}}=>[1,4,3,5,6,2,7]=>[1,0,1,1,1,0,0,1,0,1,0,0,1,0] [1,4,2,5,6,7,3]=>{{1},{2,4,5,6,7},{3}}=>[1,4,3,5,6,7,2]=>[1,0,1,1,1,0,0,1,0,1,0,1,0,0] [1,4,2,5,7,3,6]=>{{1},{2,4,5,7},{3},{6}}=>[1,4,3,5,7,6,2]=>[1,0,1,1,1,0,0,1,0,1,1,0,0,0] [1,4,2,5,7,6,3]=>{{1},{2,4,5,7},{3},{6}}=>[1,4,3,5,7,6,2]=>[1,0,1,1,1,0,0,1,0,1,1,0,0,0] [1,4,2,6,3,5,7]=>{{1},{2,4,6},{3},{5},{7}}=>[1,4,3,6,5,2,7]=>[1,0,1,1,1,0,0,1,1,0,0,0,1,0] [1,4,2,6,3,7,5]=>{{1},{2,4,6,7},{3},{5}}=>[1,4,3,6,5,7,2]=>[1,0,1,1,1,0,0,1,1,0,0,1,0,0] [1,4,2,6,5,3,7]=>{{1},{2,4,6},{3},{5},{7}}=>[1,4,3,6,5,2,7]=>[1,0,1,1,1,0,0,1,1,0,0,0,1,0] [1,4,2,6,5,7,3]=>{{1},{2,4,6,7},{3},{5}}=>[1,4,3,6,5,7,2]=>[1,0,1,1,1,0,0,1,1,0,0,1,0,0] [1,4,2,6,7,3,5]=>{{1},{2,4,6},{3},{5,7}}=>[1,4,3,6,7,2,5]=>[1,0,1,1,1,0,0,1,1,0,1,0,0,0] [1,4,2,6,7,5,3]=>{{1},{2,4,6},{3},{5,7}}=>[1,4,3,6,7,2,5]=>[1,0,1,1,1,0,0,1,1,0,1,0,0,0] [1,4,2,7,3,5,6]=>{{1},{2,4,7},{3},{5},{6}}=>[1,4,3,7,5,6,2]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,0] [1,4,2,7,3,6,5]=>{{1},{2,4,7},{3},{5},{6}}=>[1,4,3,7,5,6,2]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,0] [1,4,2,7,5,3,6]=>{{1},{2,4,7},{3},{5},{6}}=>[1,4,3,7,5,6,2]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,0] [1,4,2,7,5,6,3]=>{{1},{2,4,7},{3},{5},{6}}=>[1,4,3,7,5,6,2]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,0] [1,4,2,7,6,3,5]=>{{1},{2,4,7},{3},{5,6}}=>[1,4,3,7,6,5,2]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,0] [1,4,2,7,6,5,3]=>{{1},{2,4,7},{3},{5,6}}=>[1,4,3,7,6,5,2]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,0] [1,4,3,2,5,6,7]=>{{1},{2,4},{3},{5},{6},{7}}=>[1,4,3,2,5,6,7]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0] [1,4,3,2,5,7,6]=>{{1},{2,4},{3},{5},{6,7}}=>[1,4,3,2,5,7,6]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0] [1,4,3,2,6,5,7]=>{{1},{2,4},{3},{5,6},{7}}=>[1,4,3,2,6,5,7]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0] [1,4,3,2,6,7,5]=>{{1},{2,4},{3},{5,6,7}}=>[1,4,3,2,6,7,5]=>[1,0,1,1,1,0,0,0,1,1,0,1,0,0] [1,4,3,2,7,5,6]=>{{1},{2,4},{3},{5,7},{6}}=>[1,4,3,2,7,6,5]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0] [1,4,3,2,7,6,5]=>{{1},{2,4},{3},{5,7},{6}}=>[1,4,3,2,7,6,5]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0] [1,4,3,5,2,6,7]=>{{1},{2,4,5},{3},{6},{7}}=>[1,4,3,5,2,6,7]=>[1,0,1,1,1,0,0,1,0,0,1,0,1,0] [1,4,3,5,2,7,6]=>{{1},{2,4,5},{3},{6,7}}=>[1,4,3,5,2,7,6]=>[1,0,1,1,1,0,0,1,0,0,1,1,0,0] [1,4,3,5,6,2,7]=>{{1},{2,4,5,6},{3},{7}}=>[1,4,3,5,6,2,7]=>[1,0,1,1,1,0,0,1,0,1,0,0,1,0] [1,4,3,5,6,7,2]=>{{1},{2,4,5,6,7},{3}}=>[1,4,3,5,6,7,2]=>[1,0,1,1,1,0,0,1,0,1,0,1,0,0] [1,4,3,5,7,2,6]=>{{1},{2,4,5,7},{3},{6}}=>[1,4,3,5,7,6,2]=>[1,0,1,1,1,0,0,1,0,1,1,0,0,0] [1,4,3,5,7,6,2]=>{{1},{2,4,5,7},{3},{6}}=>[1,4,3,5,7,6,2]=>[1,0,1,1,1,0,0,1,0,1,1,0,0,0] [1,4,3,6,2,5,7]=>{{1},{2,4,6},{3},{5},{7}}=>[1,4,3,6,5,2,7]=>[1,0,1,1,1,0,0,1,1,0,0,0,1,0] [1,4,3,6,2,7,5]=>{{1},{2,4,6,7},{3},{5}}=>[1,4,3,6,5,7,2]=>[1,0,1,1,1,0,0,1,1,0,0,1,0,0] [1,4,3,6,5,2,7]=>{{1},{2,4,6},{3},{5},{7}}=>[1,4,3,6,5,2,7]=>[1,0,1,1,1,0,0,1,1,0,0,0,1,0] [1,4,3,6,5,7,2]=>{{1},{2,4,6,7},{3},{5}}=>[1,4,3,6,5,7,2]=>[1,0,1,1,1,0,0,1,1,0,0,1,0,0] [1,4,3,6,7,2,5]=>{{1},{2,4,6},{3},{5,7}}=>[1,4,3,6,7,2,5]=>[1,0,1,1,1,0,0,1,1,0,1,0,0,0] [1,4,3,6,7,5,2]=>{{1},{2,4,6},{3},{5,7}}=>[1,4,3,6,7,2,5]=>[1,0,1,1,1,0,0,1,1,0,1,0,0,0] [1,4,3,7,2,5,6]=>{{1},{2,4,7},{3},{5},{6}}=>[1,4,3,7,5,6,2]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,0] [1,4,3,7,2,6,5]=>{{1},{2,4,7},{3},{5},{6}}=>[1,4,3,7,5,6,2]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,0] [1,4,3,7,5,2,6]=>{{1},{2,4,7},{3},{5},{6}}=>[1,4,3,7,5,6,2]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,0] [1,4,3,7,5,6,2]=>{{1},{2,4,7},{3},{5},{6}}=>[1,4,3,7,5,6,2]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,0] [1,4,3,7,6,2,5]=>{{1},{2,4,7},{3},{5,6}}=>[1,4,3,7,6,5,2]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,0] [1,4,3,7,6,5,2]=>{{1},{2,4,7},{3},{5,6}}=>[1,4,3,7,6,5,2]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,0] [1,4,5,2,3,6,7]=>{{1},{2,4},{3,5},{6},{7}}=>[1,4,5,2,3,6,7]=>[1,0,1,1,1,0,1,0,0,0,1,0,1,0] [1,4,5,2,3,7,6]=>{{1},{2,4},{3,5},{6,7}}=>[1,4,5,2,3,7,6]=>[1,0,1,1,1,0,1,0,0,0,1,1,0,0] [1,4,5,2,6,3,7]=>{{1},{2,4},{3,5,6},{7}}=>[1,4,5,2,6,3,7]=>[1,0,1,1,1,0,1,0,0,1,0,0,1,0] [1,4,5,2,6,7,3]=>{{1},{2,4},{3,5,6,7}}=>[1,4,5,2,6,7,3]=>[1,0,1,1,1,0,1,0,0,1,0,1,0,0] [1,4,5,2,7,3,6]=>{{1},{2,4},{3,5,7},{6}}=>[1,4,5,2,7,6,3]=>[1,0,1,1,1,0,1,0,0,1,1,0,0,0] [1,4,5,2,7,6,3]=>{{1},{2,4},{3,5,7},{6}}=>[1,4,5,2,7,6,3]=>[1,0,1,1,1,0,1,0,0,1,1,0,0,0] [1,4,5,3,2,6,7]=>{{1},{2,4},{3,5},{6},{7}}=>[1,4,5,2,3,6,7]=>[1,0,1,1,1,0,1,0,0,0,1,0,1,0] [1,4,5,3,2,7,6]=>{{1},{2,4},{3,5},{6,7}}=>[1,4,5,2,3,7,6]=>[1,0,1,1,1,0,1,0,0,0,1,1,0,0] [1,4,5,3,6,2,7]=>{{1},{2,4},{3,5,6},{7}}=>[1,4,5,2,6,3,7]=>[1,0,1,1,1,0,1,0,0,1,0,0,1,0] [1,4,5,3,6,7,2]=>{{1},{2,4},{3,5,6,7}}=>[1,4,5,2,6,7,3]=>[1,0,1,1,1,0,1,0,0,1,0,1,0,0] [1,4,5,3,7,2,6]=>{{1},{2,4},{3,5,7},{6}}=>[1,4,5,2,7,6,3]=>[1,0,1,1,1,0,1,0,0,1,1,0,0,0] [1,4,5,3,7,6,2]=>{{1},{2,4},{3,5,7},{6}}=>[1,4,5,2,7,6,3]=>[1,0,1,1,1,0,1,0,0,1,1,0,0,0] [1,4,5,6,2,3,7]=>{{1},{2,4,6},{3,5},{7}}=>[1,4,5,6,3,2,7]=>[1,0,1,1,1,0,1,0,1,0,0,0,1,0] [1,4,5,6,2,7,3]=>{{1},{2,4,6,7},{3,5}}=>[1,4,5,6,3,7,2]=>[1,0,1,1,1,0,1,0,1,0,0,1,0,0] [1,4,5,6,3,2,7]=>{{1},{2,4,6},{3,5},{7}}=>[1,4,5,6,3,2,7]=>[1,0,1,1,1,0,1,0,1,0,0,0,1,0] [1,4,5,6,3,7,2]=>{{1},{2,4,6,7},{3,5}}=>[1,4,5,6,3,7,2]=>[1,0,1,1,1,0,1,0,1,0,0,1,0,0] [1,4,5,6,7,2,3]=>{{1},{2,4,6},{3,5,7}}=>[1,4,5,6,7,2,3]=>[1,0,1,1,1,0,1,0,1,0,1,0,0,0] [1,4,5,6,7,3,2]=>{{1},{2,4,6},{3,5,7}}=>[1,4,5,6,7,2,3]=>[1,0,1,1,1,0,1,0,1,0,1,0,0,0] [1,4,5,7,2,3,6]=>{{1},{2,4,7},{3,5},{6}}=>[1,4,5,7,3,6,2]=>[1,0,1,1,1,0,1,0,1,1,0,0,0,0] [1,4,5,7,2,6,3]=>{{1},{2,4,7},{3,5},{6}}=>[1,4,5,7,3,6,2]=>[1,0,1,1,1,0,1,0,1,1,0,0,0,0] [1,4,5,7,3,2,6]=>{{1},{2,4,7},{3,5},{6}}=>[1,4,5,7,3,6,2]=>[1,0,1,1,1,0,1,0,1,1,0,0,0,0] [1,4,5,7,3,6,2]=>{{1},{2,4,7},{3,5},{6}}=>[1,4,5,7,3,6,2]=>[1,0,1,1,1,0,1,0,1,1,0,0,0,0] [1,4,5,7,6,2,3]=>{{1},{2,4,7},{3,5,6}}=>[1,4,5,7,6,3,2]=>[1,0,1,1,1,0,1,0,1,1,0,0,0,0] [1,4,5,7,6,3,2]=>{{1},{2,4,7},{3,5,6}}=>[1,4,5,7,6,3,2]=>[1,0,1,1,1,0,1,0,1,1,0,0,0,0] [1,4,6,2,3,5,7]=>{{1},{2,4},{3,6},{5},{7}}=>[1,4,6,2,5,3,7]=>[1,0,1,1,1,0,1,1,0,0,0,0,1,0] [1,4,6,2,3,7,5]=>{{1},{2,4},{3,6,7},{5}}=>[1,4,6,2,5,7,3]=>[1,0,1,1,1,0,1,1,0,0,0,1,0,0] [1,4,6,2,5,3,7]=>{{1},{2,4},{3,6},{5},{7}}=>[1,4,6,2,5,3,7]=>[1,0,1,1,1,0,1,1,0,0,0,0,1,0] [1,4,6,2,5,7,3]=>{{1},{2,4},{3,6,7},{5}}=>[1,4,6,2,5,7,3]=>[1,0,1,1,1,0,1,1,0,0,0,1,0,0] [1,4,6,2,7,3,5]=>{{1},{2,4},{3,6},{5,7}}=>[1,4,6,2,7,3,5]=>[1,0,1,1,1,0,1,1,0,0,1,0,0,0] [1,4,6,2,7,5,3]=>{{1},{2,4},{3,6},{5,7}}=>[1,4,6,2,7,3,5]=>[1,0,1,1,1,0,1,1,0,0,1,0,0,0] [1,4,6,3,2,5,7]=>{{1},{2,4},{3,6},{5},{7}}=>[1,4,6,2,5,3,7]=>[1,0,1,1,1,0,1,1,0,0,0,0,1,0] [1,4,6,3,2,7,5]=>{{1},{2,4},{3,6,7},{5}}=>[1,4,6,2,5,7,3]=>[1,0,1,1,1,0,1,1,0,0,0,1,0,0] [1,4,6,3,5,2,7]=>{{1},{2,4},{3,6},{5},{7}}=>[1,4,6,2,5,3,7]=>[1,0,1,1,1,0,1,1,0,0,0,0,1,0] [1,4,6,3,5,7,2]=>{{1},{2,4},{3,6,7},{5}}=>[1,4,6,2,5,7,3]=>[1,0,1,1,1,0,1,1,0,0,0,1,0,0] [1,4,6,3,7,2,5]=>{{1},{2,4},{3,6},{5,7}}=>[1,4,6,2,7,3,5]=>[1,0,1,1,1,0,1,1,0,0,1,0,0,0] [1,4,6,3,7,5,2]=>{{1},{2,4},{3,6},{5,7}}=>[1,4,6,2,7,3,5]=>[1,0,1,1,1,0,1,1,0,0,1,0,0,0] [1,4,6,5,2,3,7]=>{{1},{2,4,5},{3,6},{7}}=>[1,4,6,5,2,3,7]=>[1,0,1,1,1,0,1,1,0,0,0,0,1,0] [1,4,6,5,2,7,3]=>{{1},{2,4,5},{3,6,7}}=>[1,4,6,5,2,7,3]=>[1,0,1,1,1,0,1,1,0,0,0,1,0,0] [1,4,6,5,3,2,7]=>{{1},{2,4,5},{3,6},{7}}=>[1,4,6,5,2,3,7]=>[1,0,1,1,1,0,1,1,0,0,0,0,1,0] [1,4,6,5,3,7,2]=>{{1},{2,4,5},{3,6,7}}=>[1,4,6,5,2,7,3]=>[1,0,1,1,1,0,1,1,0,0,0,1,0,0] [1,4,6,5,7,2,3]=>{{1},{2,4,5,7},{3,6}}=>[1,4,6,5,7,3,2]=>[1,0,1,1,1,0,1,1,0,0,1,0,0,0] [1,4,6,5,7,3,2]=>{{1},{2,4,5,7},{3,6}}=>[1,4,6,5,7,3,2]=>[1,0,1,1,1,0,1,1,0,0,1,0,0,0] [1,4,6,7,2,3,5]=>{{1},{2,4,7},{3,6},{5}}=>[1,4,6,7,5,3,2]=>[1,0,1,1,1,0,1,1,0,1,0,0,0,0] [1,4,6,7,2,5,3]=>{{1},{2,4,7},{3,6},{5}}=>[1,4,6,7,5,3,2]=>[1,0,1,1,1,0,1,1,0,1,0,0,0,0] [1,4,6,7,3,2,5]=>{{1},{2,4,7},{3,6},{5}}=>[1,4,6,7,5,3,2]=>[1,0,1,1,1,0,1,1,0,1,0,0,0,0] [1,4,6,7,3,5,2]=>{{1},{2,4,7},{3,6},{5}}=>[1,4,6,7,5,3,2]=>[1,0,1,1,1,0,1,1,0,1,0,0,0,0] [1,4,6,7,5,2,3]=>{{1},{2,4,7},{3,6},{5}}=>[1,4,6,7,5,3,2]=>[1,0,1,1,1,0,1,1,0,1,0,0,0,0] [1,4,6,7,5,3,2]=>{{1},{2,4,7},{3,6},{5}}=>[1,4,6,7,5,3,2]=>[1,0,1,1,1,0,1,1,0,1,0,0,0,0] [1,4,7,2,3,5,6]=>{{1},{2,4},{3,7},{5},{6}}=>[1,4,7,2,5,6,3]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0] [1,4,7,2,3,6,5]=>{{1},{2,4},{3,7},{5},{6}}=>[1,4,7,2,5,6,3]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0] [1,4,7,2,5,3,6]=>{{1},{2,4},{3,7},{5},{6}}=>[1,4,7,2,5,6,3]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0] [1,4,7,2,5,6,3]=>{{1},{2,4},{3,7},{5},{6}}=>[1,4,7,2,5,6,3]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0] [1,4,7,2,6,3,5]=>{{1},{2,4},{3,7},{5,6}}=>[1,4,7,2,6,5,3]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0] [1,4,7,2,6,5,3]=>{{1},{2,4},{3,7},{5,6}}=>[1,4,7,2,6,5,3]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0] [1,4,7,3,2,5,6]=>{{1},{2,4},{3,7},{5},{6}}=>[1,4,7,2,5,6,3]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0] [1,4,7,3,2,6,5]=>{{1},{2,4},{3,7},{5},{6}}=>[1,4,7,2,5,6,3]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0] [1,4,7,3,5,2,6]=>{{1},{2,4},{3,7},{5},{6}}=>[1,4,7,2,5,6,3]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0] [1,4,7,3,5,6,2]=>{{1},{2,4},{3,7},{5},{6}}=>[1,4,7,2,5,6,3]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0] [1,4,7,3,6,2,5]=>{{1},{2,4},{3,7},{5,6}}=>[1,4,7,2,6,5,3]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0] [1,4,7,3,6,5,2]=>{{1},{2,4},{3,7},{5,6}}=>[1,4,7,2,6,5,3]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0] [1,4,7,5,2,3,6]=>{{1},{2,4,5},{3,7},{6}}=>[1,4,7,5,2,6,3]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0] [1,4,7,5,2,6,3]=>{{1},{2,4,5},{3,7},{6}}=>[1,4,7,5,2,6,3]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0] [1,4,7,5,3,2,6]=>{{1},{2,4,5},{3,7},{6}}=>[1,4,7,5,2,6,3]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0] [1,4,7,5,3,6,2]=>{{1},{2,4,5},{3,7},{6}}=>[1,4,7,5,2,6,3]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0] [1,4,7,5,6,2,3]=>{{1},{2,4,5,6},{3,7}}=>[1,4,7,5,6,2,3]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0] [1,4,7,5,6,3,2]=>{{1},{2,4,5,6},{3,7}}=>[1,4,7,5,6,2,3]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0] [1,4,7,6,2,3,5]=>{{1},{2,4,6},{3,7},{5}}=>[1,4,7,6,5,2,3]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0] [1,4,7,6,2,5,3]=>{{1},{2,4,6},{3,7},{5}}=>[1,4,7,6,5,2,3]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0] [1,4,7,6,3,2,5]=>{{1},{2,4,6},{3,7},{5}}=>[1,4,7,6,5,2,3]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0] [1,4,7,6,3,5,2]=>{{1},{2,4,6},{3,7},{5}}=>[1,4,7,6,5,2,3]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0] [1,4,7,6,5,2,3]=>{{1},{2,4,6},{3,7},{5}}=>[1,4,7,6,5,2,3]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0] [1,4,7,6,5,3,2]=>{{1},{2,4,6},{3,7},{5}}=>[1,4,7,6,5,2,3]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0] [1,5,2,3,4,6,7]=>{{1},{2,5},{3},{4},{6},{7}}=>[1,5,3,4,2,6,7]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0] [1,5,2,3,4,7,6]=>{{1},{2,5},{3},{4},{6,7}}=>[1,5,3,4,2,7,6]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0] [1,5,2,3,6,4,7]=>{{1},{2,5,6},{3},{4},{7}}=>[1,5,3,4,6,2,7]=>[1,0,1,1,1,1,0,0,0,1,0,0,1,0] [1,5,2,3,6,7,4]=>{{1},{2,5,6,7},{3},{4}}=>[1,5,3,4,6,7,2]=>[1,0,1,1,1,1,0,0,0,1,0,1,0,0] [1,5,2,3,7,4,6]=>{{1},{2,5,7},{3},{4},{6}}=>[1,5,3,4,7,6,2]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0] [1,5,2,3,7,6,4]=>{{1},{2,5,7},{3},{4},{6}}=>[1,5,3,4,7,6,2]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0] [1,5,2,4,3,6,7]=>{{1},{2,5},{3},{4},{6},{7}}=>[1,5,3,4,2,6,7]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0] [1,5,2,4,3,7,6]=>{{1},{2,5},{3},{4},{6,7}}=>[1,5,3,4,2,7,6]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0] [1,5,2,4,6,3,7]=>{{1},{2,5,6},{3},{4},{7}}=>[1,5,3,4,6,2,7]=>[1,0,1,1,1,1,0,0,0,1,0,0,1,0] [1,5,2,4,6,7,3]=>{{1},{2,5,6,7},{3},{4}}=>[1,5,3,4,6,7,2]=>[1,0,1,1,1,1,0,0,0,1,0,1,0,0] [1,5,2,4,7,3,6]=>{{1},{2,5,7},{3},{4},{6}}=>[1,5,3,4,7,6,2]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0] [1,5,2,4,7,6,3]=>{{1},{2,5,7},{3},{4},{6}}=>[1,5,3,4,7,6,2]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0] [1,5,2,6,3,4,7]=>{{1},{2,5},{3},{4,6},{7}}=>[1,5,3,6,2,4,7]=>[1,0,1,1,1,1,0,0,1,0,0,0,1,0] [1,5,2,6,3,7,4]=>{{1},{2,5},{3},{4,6,7}}=>[1,5,3,6,2,7,4]=>[1,0,1,1,1,1,0,0,1,0,0,1,0,0] [1,5,2,6,4,3,7]=>{{1},{2,5},{3},{4,6},{7}}=>[1,5,3,6,2,4,7]=>[1,0,1,1,1,1,0,0,1,0,0,0,1,0] [1,5,2,6,4,7,3]=>{{1},{2,5},{3},{4,6,7}}=>[1,5,3,6,2,7,4]=>[1,0,1,1,1,1,0,0,1,0,0,1,0,0] [1,5,2,6,7,3,4]=>{{1},{2,5,7},{3},{4,6}}=>[1,5,3,6,7,4,2]=>[1,0,1,1,1,1,0,0,1,0,1,0,0,0] [1,5,2,6,7,4,3]=>{{1},{2,5,7},{3},{4,6}}=>[1,5,3,6,7,4,2]=>[1,0,1,1,1,1,0,0,1,0,1,0,0,0] [1,5,2,7,3,4,6]=>{{1},{2,5},{3},{4,7},{6}}=>[1,5,3,7,2,6,4]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0] [1,5,2,7,3,6,4]=>{{1},{2,5},{3},{4,7},{6}}=>[1,5,3,7,2,6,4]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0] [1,5,2,7,4,3,6]=>{{1},{2,5},{3},{4,7},{6}}=>[1,5,3,7,2,6,4]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0] [1,5,2,7,4,6,3]=>{{1},{2,5},{3},{4,7},{6}}=>[1,5,3,7,2,6,4]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0] [1,5,2,7,6,3,4]=>{{1},{2,5,6},{3},{4,7}}=>[1,5,3,7,6,2,4]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0] [1,5,2,7,6,4,3]=>{{1},{2,5,6},{3},{4,7}}=>[1,5,3,7,6,2,4]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0] [1,5,3,2,4,6,7]=>{{1},{2,5},{3},{4},{6},{7}}=>[1,5,3,4,2,6,7]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0] [1,5,3,2,4,7,6]=>{{1},{2,5},{3},{4},{6,7}}=>[1,5,3,4,2,7,6]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0] [1,5,3,2,6,4,7]=>{{1},{2,5,6},{3},{4},{7}}=>[1,5,3,4,6,2,7]=>[1,0,1,1,1,1,0,0,0,1,0,0,1,0] [1,5,3,2,6,7,4]=>{{1},{2,5,6,7},{3},{4}}=>[1,5,3,4,6,7,2]=>[1,0,1,1,1,1,0,0,0,1,0,1,0,0] [1,5,3,2,7,4,6]=>{{1},{2,5,7},{3},{4},{6}}=>[1,5,3,4,7,6,2]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0] [1,5,3,2,7,6,4]=>{{1},{2,5,7},{3},{4},{6}}=>[1,5,3,4,7,6,2]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0] [1,5,3,4,2,6,7]=>{{1},{2,5},{3},{4},{6},{7}}=>[1,5,3,4,2,6,7]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0] [1,5,3,4,2,7,6]=>{{1},{2,5},{3},{4},{6,7}}=>[1,5,3,4,2,7,6]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0] [1,5,3,4,6,2,7]=>{{1},{2,5,6},{3},{4},{7}}=>[1,5,3,4,6,2,7]=>[1,0,1,1,1,1,0,0,0,1,0,0,1,0] [1,5,3,4,6,7,2]=>{{1},{2,5,6,7},{3},{4}}=>[1,5,3,4,6,7,2]=>[1,0,1,1,1,1,0,0,0,1,0,1,0,0] [1,5,3,4,7,2,6]=>{{1},{2,5,7},{3},{4},{6}}=>[1,5,3,4,7,6,2]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0] [1,5,3,4,7,6,2]=>{{1},{2,5,7},{3},{4},{6}}=>[1,5,3,4,7,6,2]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0] [1,5,3,6,2,4,7]=>{{1},{2,5},{3},{4,6},{7}}=>[1,5,3,6,2,4,7]=>[1,0,1,1,1,1,0,0,1,0,0,0,1,0] [1,5,3,6,2,7,4]=>{{1},{2,5},{3},{4,6,7}}=>[1,5,3,6,2,7,4]=>[1,0,1,1,1,1,0,0,1,0,0,1,0,0] [1,5,3,6,4,2,7]=>{{1},{2,5},{3},{4,6},{7}}=>[1,5,3,6,2,4,7]=>[1,0,1,1,1,1,0,0,1,0,0,0,1,0] [1,5,3,6,4,7,2]=>{{1},{2,5},{3},{4,6,7}}=>[1,5,3,6,2,7,4]=>[1,0,1,1,1,1,0,0,1,0,0,1,0,0] [1,5,3,6,7,2,4]=>{{1},{2,5,7},{3},{4,6}}=>[1,5,3,6,7,4,2]=>[1,0,1,1,1,1,0,0,1,0,1,0,0,0] [1,5,3,6,7,4,2]=>{{1},{2,5,7},{3},{4,6}}=>[1,5,3,6,7,4,2]=>[1,0,1,1,1,1,0,0,1,0,1,0,0,0] [1,5,3,7,2,4,6]=>{{1},{2,5},{3},{4,7},{6}}=>[1,5,3,7,2,6,4]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0] [1,5,3,7,2,6,4]=>{{1},{2,5},{3},{4,7},{6}}=>[1,5,3,7,2,6,4]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0] [1,5,3,7,4,2,6]=>{{1},{2,5},{3},{4,7},{6}}=>[1,5,3,7,2,6,4]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0] [1,5,3,7,4,6,2]=>{{1},{2,5},{3},{4,7},{6}}=>[1,5,3,7,2,6,4]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0] [1,5,3,7,6,2,4]=>{{1},{2,5,6},{3},{4,7}}=>[1,5,3,7,6,2,4]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0] [1,5,3,7,6,4,2]=>{{1},{2,5,6},{3},{4,7}}=>[1,5,3,7,6,2,4]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0] [1,5,4,2,3,6,7]=>{{1},{2,5},{3,4},{6},{7}}=>[1,5,4,3,2,6,7]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0] [1,5,4,2,3,7,6]=>{{1},{2,5},{3,4},{6,7}}=>[1,5,4,3,2,7,6]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0] [1,5,4,2,6,3,7]=>{{1},{2,5,6},{3,4},{7}}=>[1,5,4,3,6,2,7]=>[1,0,1,1,1,1,0,0,0,1,0,0,1,0] [1,5,4,2,6,7,3]=>{{1},{2,5,6,7},{3,4}}=>[1,5,4,3,6,7,2]=>[1,0,1,1,1,1,0,0,0,1,0,1,0,0] [1,5,4,2,7,3,6]=>{{1},{2,5,7},{3,4},{6}}=>[1,5,4,3,7,6,2]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0] [1,5,4,2,7,6,3]=>{{1},{2,5,7},{3,4},{6}}=>[1,5,4,3,7,6,2]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0] [1,5,4,3,2,6,7]=>{{1},{2,5},{3,4},{6},{7}}=>[1,5,4,3,2,6,7]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0] [1,5,4,3,2,7,6]=>{{1},{2,5},{3,4},{6,7}}=>[1,5,4,3,2,7,6]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0] [1,5,4,3,6,2,7]=>{{1},{2,5,6},{3,4},{7}}=>[1,5,4,3,6,2,7]=>[1,0,1,1,1,1,0,0,0,1,0,0,1,0] [1,5,4,3,6,7,2]=>{{1},{2,5,6,7},{3,4}}=>[1,5,4,3,6,7,2]=>[1,0,1,1,1,1,0,0,0,1,0,1,0,0] [1,5,4,3,7,2,6]=>{{1},{2,5,7},{3,4},{6}}=>[1,5,4,3,7,6,2]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0] [1,5,4,3,7,6,2]=>{{1},{2,5,7},{3,4},{6}}=>[1,5,4,3,7,6,2]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0] [1,5,4,6,2,3,7]=>{{1},{2,5},{3,4,6},{7}}=>[1,5,4,6,2,3,7]=>[1,0,1,1,1,1,0,0,1,0,0,0,1,0] [1,5,4,6,2,7,3]=>{{1},{2,5},{3,4,6,7}}=>[1,5,4,6,2,7,3]=>[1,0,1,1,1,1,0,0,1,0,0,1,0,0] [1,5,4,6,3,2,7]=>{{1},{2,5},{3,4,6},{7}}=>[1,5,4,6,2,3,7]=>[1,0,1,1,1,1,0,0,1,0,0,0,1,0] [1,5,4,6,3,7,2]=>{{1},{2,5},{3,4,6,7}}=>[1,5,4,6,2,7,3]=>[1,0,1,1,1,1,0,0,1,0,0,1,0,0] [1,5,4,6,7,2,3]=>{{1},{2,5,7},{3,4,6}}=>[1,5,4,6,7,3,2]=>[1,0,1,1,1,1,0,0,1,0,1,0,0,0] [1,5,4,6,7,3,2]=>{{1},{2,5,7},{3,4,6}}=>[1,5,4,6,7,3,2]=>[1,0,1,1,1,1,0,0,1,0,1,0,0,0] [1,5,4,7,2,3,6]=>{{1},{2,5},{3,4,7},{6}}=>[1,5,4,7,2,6,3]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0] [1,5,4,7,2,6,3]=>{{1},{2,5},{3,4,7},{6}}=>[1,5,4,7,2,6,3]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0] [1,5,4,7,3,2,6]=>{{1},{2,5},{3,4,7},{6}}=>[1,5,4,7,2,6,3]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0] [1,5,4,7,3,6,2]=>{{1},{2,5},{3,4,7},{6}}=>[1,5,4,7,2,6,3]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0] [1,5,4,7,6,2,3]=>{{1},{2,5,6},{3,4,7}}=>[1,5,4,7,6,2,3]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0] [1,5,4,7,6,3,2]=>{{1},{2,5,6},{3,4,7}}=>[1,5,4,7,6,2,3]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0] [1,5,6,2,3,4,7]=>{{1},{2,5},{3,6},{4},{7}}=>[1,5,6,4,2,3,7]=>[1,0,1,1,1,1,0,1,0,0,0,0,1,0] [1,5,6,2,3,7,4]=>{{1},{2,5},{3,6,7},{4}}=>[1,5,6,4,2,7,3]=>[1,0,1,1,1,1,0,1,0,0,0,1,0,0] [1,5,6,2,4,3,7]=>{{1},{2,5},{3,6},{4},{7}}=>[1,5,6,4,2,3,7]=>[1,0,1,1,1,1,0,1,0,0,0,0,1,0] [1,5,6,2,4,7,3]=>{{1},{2,5},{3,6,7},{4}}=>[1,5,6,4,2,7,3]=>[1,0,1,1,1,1,0,1,0,0,0,1,0,0] [1,5,6,2,7,3,4]=>{{1},{2,5,7},{3,6},{4}}=>[1,5,6,4,7,3,2]=>[1,0,1,1,1,1,0,1,0,0,1,0,0,0] [1,5,6,2,7,4,3]=>{{1},{2,5,7},{3,6},{4}}=>[1,5,6,4,7,3,2]=>[1,0,1,1,1,1,0,1,0,0,1,0,0,0] [1,5,6,3,2,4,7]=>{{1},{2,5},{3,6},{4},{7}}=>[1,5,6,4,2,3,7]=>[1,0,1,1,1,1,0,1,0,0,0,0,1,0] [1,5,6,3,2,7,4]=>{{1},{2,5},{3,6,7},{4}}=>[1,5,6,4,2,7,3]=>[1,0,1,1,1,1,0,1,0,0,0,1,0,0] [1,5,6,3,4,2,7]=>{{1},{2,5},{3,6},{4},{7}}=>[1,5,6,4,2,3,7]=>[1,0,1,1,1,1,0,1,0,0,0,0,1,0] [1,5,6,3,4,7,2]=>{{1},{2,5},{3,6,7},{4}}=>[1,5,6,4,2,7,3]=>[1,0,1,1,1,1,0,1,0,0,0,1,0,0] [1,5,6,3,7,2,4]=>{{1},{2,5,7},{3,6},{4}}=>[1,5,6,4,7,3,2]=>[1,0,1,1,1,1,0,1,0,0,1,0,0,0] [1,5,6,3,7,4,2]=>{{1},{2,5,7},{3,6},{4}}=>[1,5,6,4,7,3,2]=>[1,0,1,1,1,1,0,1,0,0,1,0,0,0] [1,5,6,4,2,3,7]=>{{1},{2,5},{3,6},{4},{7}}=>[1,5,6,4,2,3,7]=>[1,0,1,1,1,1,0,1,0,0,0,0,1,0] [1,5,6,4,2,7,3]=>{{1},{2,5},{3,6,7},{4}}=>[1,5,6,4,2,7,3]=>[1,0,1,1,1,1,0,1,0,0,0,1,0,0] [1,5,6,4,3,2,7]=>{{1},{2,5},{3,6},{4},{7}}=>[1,5,6,4,2,3,7]=>[1,0,1,1,1,1,0,1,0,0,0,0,1,0] [1,5,6,4,3,7,2]=>{{1},{2,5},{3,6,7},{4}}=>[1,5,6,4,2,7,3]=>[1,0,1,1,1,1,0,1,0,0,0,1,0,0] [1,5,6,4,7,2,3]=>{{1},{2,5,7},{3,6},{4}}=>[1,5,6,4,7,3,2]=>[1,0,1,1,1,1,0,1,0,0,1,0,0,0] [1,5,6,4,7,3,2]=>{{1},{2,5,7},{3,6},{4}}=>[1,5,6,4,7,3,2]=>[1,0,1,1,1,1,0,1,0,0,1,0,0,0] [1,5,6,7,2,3,4]=>{{1},{2,5},{3,6},{4,7}}=>[1,5,6,7,2,3,4]=>[1,0,1,1,1,1,0,1,0,1,0,0,0,0] [1,5,6,7,2,4,3]=>{{1},{2,5},{3,6},{4,7}}=>[1,5,6,7,2,3,4]=>[1,0,1,1,1,1,0,1,0,1,0,0,0,0] [1,5,6,7,3,2,4]=>{{1},{2,5},{3,6},{4,7}}=>[1,5,6,7,2,3,4]=>[1,0,1,1,1,1,0,1,0,1,0,0,0,0] [1,5,6,7,3,4,2]=>{{1},{2,5},{3,6},{4,7}}=>[1,5,6,7,2,3,4]=>[1,0,1,1,1,1,0,1,0,1,0,0,0,0] [1,5,6,7,4,2,3]=>{{1},{2,5},{3,6},{4,7}}=>[1,5,6,7,2,3,4]=>[1,0,1,1,1,1,0,1,0,1,0,0,0,0] [1,5,6,7,4,3,2]=>{{1},{2,5},{3,6},{4,7}}=>[1,5,6,7,2,3,4]=>[1,0,1,1,1,1,0,1,0,1,0,0,0,0] [1,5,7,2,3,4,6]=>{{1},{2,5},{3,7},{4},{6}}=>[1,5,7,4,2,6,3]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0] [1,5,7,2,3,6,4]=>{{1},{2,5},{3,7},{4},{6}}=>[1,5,7,4,2,6,3]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0] [1,5,7,2,4,3,6]=>{{1},{2,5},{3,7},{4},{6}}=>[1,5,7,4,2,6,3]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0] [1,5,7,2,4,6,3]=>{{1},{2,5},{3,7},{4},{6}}=>[1,5,7,4,2,6,3]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0] [1,5,7,2,6,3,4]=>{{1},{2,5,6},{3,7},{4}}=>[1,5,7,4,6,2,3]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0] [1,5,7,2,6,4,3]=>{{1},{2,5,6},{3,7},{4}}=>[1,5,7,4,6,2,3]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0] [1,5,7,3,2,4,6]=>{{1},{2,5},{3,7},{4},{6}}=>[1,5,7,4,2,6,3]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0] [1,5,7,3,2,6,4]=>{{1},{2,5},{3,7},{4},{6}}=>[1,5,7,4,2,6,3]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0] [1,5,7,3,4,2,6]=>{{1},{2,5},{3,7},{4},{6}}=>[1,5,7,4,2,6,3]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0] [1,5,7,3,4,6,2]=>{{1},{2,5},{3,7},{4},{6}}=>[1,5,7,4,2,6,3]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0] [1,5,7,3,6,2,4]=>{{1},{2,5,6},{3,7},{4}}=>[1,5,7,4,6,2,3]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0] [1,5,7,3,6,4,2]=>{{1},{2,5,6},{3,7},{4}}=>[1,5,7,4,6,2,3]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0] [1,5,7,4,2,3,6]=>{{1},{2,5},{3,7},{4},{6}}=>[1,5,7,4,2,6,3]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0] [1,5,7,4,2,6,3]=>{{1},{2,5},{3,7},{4},{6}}=>[1,5,7,4,2,6,3]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0] [1,5,7,4,3,2,6]=>{{1},{2,5},{3,7},{4},{6}}=>[1,5,7,4,2,6,3]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0] [1,5,7,4,3,6,2]=>{{1},{2,5},{3,7},{4},{6}}=>[1,5,7,4,2,6,3]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0] [1,5,7,4,6,2,3]=>{{1},{2,5,6},{3,7},{4}}=>[1,5,7,4,6,2,3]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0] [1,5,7,4,6,3,2]=>{{1},{2,5,6},{3,7},{4}}=>[1,5,7,4,6,2,3]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0] [1,5,7,6,2,3,4]=>{{1},{2,5},{3,7},{4,6}}=>[1,5,7,6,2,4,3]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0] [1,5,7,6,2,4,3]=>{{1},{2,5},{3,7},{4,6}}=>[1,5,7,6,2,4,3]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0] [1,5,7,6,3,2,4]=>{{1},{2,5},{3,7},{4,6}}=>[1,5,7,6,2,4,3]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0] [1,5,7,6,3,4,2]=>{{1},{2,5},{3,7},{4,6}}=>[1,5,7,6,2,4,3]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0] [1,5,7,6,4,2,3]=>{{1},{2,5},{3,7},{4,6}}=>[1,5,7,6,2,4,3]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0] [1,5,7,6,4,3,2]=>{{1},{2,5},{3,7},{4,6}}=>[1,5,7,6,2,4,3]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0] [1,6,2,3,4,5,7]=>{{1},{2,6},{3},{4},{5},{7}}=>[1,6,3,4,5,2,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0] [1,6,2,3,4,7,5]=>{{1},{2,6,7},{3},{4},{5}}=>[1,6,3,4,5,7,2]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0] [1,6,2,3,5,4,7]=>{{1},{2,6},{3},{4},{5},{7}}=>[1,6,3,4,5,2,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0] [1,6,2,3,5,7,4]=>{{1},{2,6,7},{3},{4},{5}}=>[1,6,3,4,5,7,2]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0] [1,6,2,3,7,4,5]=>{{1},{2,6},{3},{4},{5,7}}=>[1,6,3,4,7,2,5]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0] [1,6,2,3,7,5,4]=>{{1},{2,6},{3},{4},{5,7}}=>[1,6,3,4,7,2,5]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0] [1,6,2,4,3,5,7]=>{{1},{2,6},{3},{4},{5},{7}}=>[1,6,3,4,5,2,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0] [1,6,2,4,3,7,5]=>{{1},{2,6,7},{3},{4},{5}}=>[1,6,3,4,5,7,2]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0] [1,6,2,4,5,3,7]=>{{1},{2,6},{3},{4},{5},{7}}=>[1,6,3,4,5,2,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0] [1,6,2,4,5,7,3]=>{{1},{2,6,7},{3},{4},{5}}=>[1,6,3,4,5,7,2]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0] [1,6,2,4,7,3,5]=>{{1},{2,6},{3},{4},{5,7}}=>[1,6,3,4,7,2,5]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0] [1,6,2,4,7,5,3]=>{{1},{2,6},{3},{4},{5,7}}=>[1,6,3,4,7,2,5]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0] [1,6,2,5,3,4,7]=>{{1},{2,6},{3},{4,5},{7}}=>[1,6,3,5,4,2,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0] [1,6,2,5,3,7,4]=>{{1},{2,6,7},{3},{4,5}}=>[1,6,3,5,4,7,2]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0] [1,6,2,5,4,3,7]=>{{1},{2,6},{3},{4,5},{7}}=>[1,6,3,5,4,2,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0] [1,6,2,5,4,7,3]=>{{1},{2,6,7},{3},{4,5}}=>[1,6,3,5,4,7,2]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0] [1,6,2,5,7,3,4]=>{{1},{2,6},{3},{4,5,7}}=>[1,6,3,5,7,2,4]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0] [1,6,2,5,7,4,3]=>{{1},{2,6},{3},{4,5,7}}=>[1,6,3,5,7,2,4]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0] [1,6,2,7,3,4,5]=>{{1},{2,6},{3},{4,7},{5}}=>[1,6,3,7,5,2,4]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0] [1,6,2,7,3,5,4]=>{{1},{2,6},{3},{4,7},{5}}=>[1,6,3,7,5,2,4]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0] [1,6,2,7,4,3,5]=>{{1},{2,6},{3},{4,7},{5}}=>[1,6,3,7,5,2,4]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0] [1,6,2,7,4,5,3]=>{{1},{2,6},{3},{4,7},{5}}=>[1,6,3,7,5,2,4]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0] [1,6,2,7,5,3,4]=>{{1},{2,6},{3},{4,7},{5}}=>[1,6,3,7,5,2,4]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0] [1,6,2,7,5,4,3]=>{{1},{2,6},{3},{4,7},{5}}=>[1,6,3,7,5,2,4]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0] [1,6,3,2,4,5,7]=>{{1},{2,6},{3},{4},{5},{7}}=>[1,6,3,4,5,2,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0] [1,6,3,2,4,7,5]=>{{1},{2,6,7},{3},{4},{5}}=>[1,6,3,4,5,7,2]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0] [1,6,3,2,5,4,7]=>{{1},{2,6},{3},{4},{5},{7}}=>[1,6,3,4,5,2,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0] [1,6,3,2,5,7,4]=>{{1},{2,6,7},{3},{4},{5}}=>[1,6,3,4,5,7,2]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0] [1,6,3,2,7,4,5]=>{{1},{2,6},{3},{4},{5,7}}=>[1,6,3,4,7,2,5]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0] [1,6,3,2,7,5,4]=>{{1},{2,6},{3},{4},{5,7}}=>[1,6,3,4,7,2,5]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0] [1,6,3,4,2,5,7]=>{{1},{2,6},{3},{4},{5},{7}}=>[1,6,3,4,5,2,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0] [1,6,3,4,2,7,5]=>{{1},{2,6,7},{3},{4},{5}}=>[1,6,3,4,5,7,2]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0] [1,6,3,4,5,2,7]=>{{1},{2,6},{3},{4},{5},{7}}=>[1,6,3,4,5,2,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0] [1,6,3,4,5,7,2]=>{{1},{2,6,7},{3},{4},{5}}=>[1,6,3,4,5,7,2]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0] [1,6,3,4,7,2,5]=>{{1},{2,6},{3},{4},{5,7}}=>[1,6,3,4,7,2,5]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0] [1,6,3,4,7,5,2]=>{{1},{2,6},{3},{4},{5,7}}=>[1,6,3,4,7,2,5]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0] [1,6,3,5,2,4,7]=>{{1},{2,6},{3},{4,5},{7}}=>[1,6,3,5,4,2,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0] [1,6,3,5,2,7,4]=>{{1},{2,6,7},{3},{4,5}}=>[1,6,3,5,4,7,2]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0] [1,6,3,5,4,2,7]=>{{1},{2,6},{3},{4,5},{7}}=>[1,6,3,5,4,2,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0] [1,6,3,5,4,7,2]=>{{1},{2,6,7},{3},{4,5}}=>[1,6,3,5,4,7,2]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0] [1,6,3,5,7,2,4]=>{{1},{2,6},{3},{4,5,7}}=>[1,6,3,5,7,2,4]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0] [1,6,3,5,7,4,2]=>{{1},{2,6},{3},{4,5,7}}=>[1,6,3,5,7,2,4]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0] [1,6,3,7,2,4,5]=>{{1},{2,6},{3},{4,7},{5}}=>[1,6,3,7,5,2,4]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0] [1,6,3,7,2,5,4]=>{{1},{2,6},{3},{4,7},{5}}=>[1,6,3,7,5,2,4]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0] [1,6,3,7,4,2,5]=>{{1},{2,6},{3},{4,7},{5}}=>[1,6,3,7,5,2,4]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0] [1,6,3,7,4,5,2]=>{{1},{2,6},{3},{4,7},{5}}=>[1,6,3,7,5,2,4]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0] [1,6,3,7,5,2,4]=>{{1},{2,6},{3},{4,7},{5}}=>[1,6,3,7,5,2,4]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0] [1,6,3,7,5,4,2]=>{{1},{2,6},{3},{4,7},{5}}=>[1,6,3,7,5,2,4]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0] [1,6,4,2,3,5,7]=>{{1},{2,6},{3,4},{5},{7}}=>[1,6,4,3,5,2,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0] [1,6,4,2,3,7,5]=>{{1},{2,6,7},{3,4},{5}}=>[1,6,4,3,5,7,2]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0] [1,6,4,2,5,3,7]=>{{1},{2,6},{3,4},{5},{7}}=>[1,6,4,3,5,2,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0] [1,6,4,2,5,7,3]=>{{1},{2,6,7},{3,4},{5}}=>[1,6,4,3,5,7,2]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0] [1,6,4,2,7,3,5]=>{{1},{2,6},{3,4},{5,7}}=>[1,6,4,3,7,2,5]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0] [1,6,4,2,7,5,3]=>{{1},{2,6},{3,4},{5,7}}=>[1,6,4,3,7,2,5]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0] [1,6,4,3,2,5,7]=>{{1},{2,6},{3,4},{5},{7}}=>[1,6,4,3,5,2,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0] [1,6,4,3,2,7,5]=>{{1},{2,6,7},{3,4},{5}}=>[1,6,4,3,5,7,2]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0] [1,6,4,3,5,2,7]=>{{1},{2,6},{3,4},{5},{7}}=>[1,6,4,3,5,2,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0] [1,6,4,3,5,7,2]=>{{1},{2,6,7},{3,4},{5}}=>[1,6,4,3,5,7,2]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0] [1,6,4,3,7,2,5]=>{{1},{2,6},{3,4},{5,7}}=>[1,6,4,3,7,2,5]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0] [1,6,4,3,7,5,2]=>{{1},{2,6},{3,4},{5,7}}=>[1,6,4,3,7,2,5]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0] [1,6,4,5,2,3,7]=>{{1},{2,6},{3,4,5},{7}}=>[1,6,4,5,3,2,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0] [1,6,4,5,2,7,3]=>{{1},{2,6,7},{3,4,5}}=>[1,6,4,5,3,7,2]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0] [1,6,4,5,3,2,7]=>{{1},{2,6},{3,4,5},{7}}=>[1,6,4,5,3,2,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0] [1,6,4,5,3,7,2]=>{{1},{2,6,7},{3,4,5}}=>[1,6,4,5,3,7,2]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0] [1,6,4,5,7,2,3]=>{{1},{2,6},{3,4,5,7}}=>[1,6,4,5,7,2,3]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0] [1,6,4,5,7,3,2]=>{{1},{2,6},{3,4,5,7}}=>[1,6,4,5,7,2,3]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0] [1,6,4,7,2,3,5]=>{{1},{2,6},{3,4,7},{5}}=>[1,6,4,7,5,2,3]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0] [1,6,4,7,2,5,3]=>{{1},{2,6},{3,4,7},{5}}=>[1,6,4,7,5,2,3]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0] [1,6,4,7,3,2,5]=>{{1},{2,6},{3,4,7},{5}}=>[1,6,4,7,5,2,3]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0] [1,6,4,7,3,5,2]=>{{1},{2,6},{3,4,7},{5}}=>[1,6,4,7,5,2,3]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0] [1,6,4,7,5,2,3]=>{{1},{2,6},{3,4,7},{5}}=>[1,6,4,7,5,2,3]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0] [1,6,4,7,5,3,2]=>{{1},{2,6},{3,4,7},{5}}=>[1,6,4,7,5,2,3]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0] [1,6,5,2,3,4,7]=>{{1},{2,6},{3,5},{4},{7}}=>[1,6,5,4,3,2,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0] [1,6,5,2,3,7,4]=>{{1},{2,6,7},{3,5},{4}}=>[1,6,5,4,3,7,2]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0] [1,6,5,2,4,3,7]=>{{1},{2,6},{3,5},{4},{7}}=>[1,6,5,4,3,2,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0] [1,6,5,2,4,7,3]=>{{1},{2,6,7},{3,5},{4}}=>[1,6,5,4,3,7,2]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0] [1,6,5,2,7,3,4]=>{{1},{2,6},{3,5,7},{4}}=>[1,6,5,4,7,2,3]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0] [1,6,5,2,7,4,3]=>{{1},{2,6},{3,5,7},{4}}=>[1,6,5,4,7,2,3]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0] [1,6,5,3,2,4,7]=>{{1},{2,6},{3,5},{4},{7}}=>[1,6,5,4,3,2,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0] [1,6,5,3,2,7,4]=>{{1},{2,6,7},{3,5},{4}}=>[1,6,5,4,3,7,2]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0] [1,6,5,3,4,2,7]=>{{1},{2,6},{3,5},{4},{7}}=>[1,6,5,4,3,2,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0] [1,6,5,3,4,7,2]=>{{1},{2,6,7},{3,5},{4}}=>[1,6,5,4,3,7,2]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0] [1,6,5,3,7,2,4]=>{{1},{2,6},{3,5,7},{4}}=>[1,6,5,4,7,2,3]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0] [1,6,5,3,7,4,2]=>{{1},{2,6},{3,5,7},{4}}=>[1,6,5,4,7,2,3]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0] [1,6,5,4,2,3,7]=>{{1},{2,6},{3,5},{4},{7}}=>[1,6,5,4,3,2,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0] [1,6,5,4,2,7,3]=>{{1},{2,6,7},{3,5},{4}}=>[1,6,5,4,3,7,2]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0] [1,6,5,4,3,2,7]=>{{1},{2,6},{3,5},{4},{7}}=>[1,6,5,4,3,2,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0] [1,6,5,4,3,7,2]=>{{1},{2,6,7},{3,5},{4}}=>[1,6,5,4,3,7,2]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0] [1,6,5,4,7,2,3]=>{{1},{2,6},{3,5,7},{4}}=>[1,6,5,4,7,2,3]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0] [1,6,5,4,7,3,2]=>{{1},{2,6},{3,5,7},{4}}=>[1,6,5,4,7,2,3]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0] [1,6,5,7,2,3,4]=>{{1},{2,6},{3,5},{4,7}}=>[1,6,5,7,3,2,4]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0] [1,6,5,7,2,4,3]=>{{1},{2,6},{3,5},{4,7}}=>[1,6,5,7,3,2,4]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0] [1,6,5,7,3,2,4]=>{{1},{2,6},{3,5},{4,7}}=>[1,6,5,7,3,2,4]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0] [1,6,5,7,3,4,2]=>{{1},{2,6},{3,5},{4,7}}=>[1,6,5,7,3,2,4]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0] [1,6,5,7,4,2,3]=>{{1},{2,6},{3,5},{4,7}}=>[1,6,5,7,3,2,4]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0] [1,6,5,7,4,3,2]=>{{1},{2,6},{3,5},{4,7}}=>[1,6,5,7,3,2,4]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0] [1,6,7,2,3,4,5]=>{{1},{2,6},{3,7},{4},{5}}=>[1,6,7,4,5,2,3]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0] [1,6,7,2,3,5,4]=>{{1},{2,6},{3,7},{4},{5}}=>[1,6,7,4,5,2,3]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0] [1,6,7,2,4,3,5]=>{{1},{2,6},{3,7},{4},{5}}=>[1,6,7,4,5,2,3]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0] [1,6,7,2,4,5,3]=>{{1},{2,6},{3,7},{4},{5}}=>[1,6,7,4,5,2,3]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0] [1,6,7,2,5,3,4]=>{{1},{2,6},{3,7},{4},{5}}=>[1,6,7,4,5,2,3]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0] [1,6,7,2,5,4,3]=>{{1},{2,6},{3,7},{4},{5}}=>[1,6,7,4,5,2,3]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0] [1,6,7,3,2,4,5]=>{{1},{2,6},{3,7},{4},{5}}=>[1,6,7,4,5,2,3]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0] [1,6,7,3,2,5,4]=>{{1},{2,6},{3,7},{4},{5}}=>[1,6,7,4,5,2,3]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0] [1,6,7,3,4,2,5]=>{{1},{2,6},{3,7},{4},{5}}=>[1,6,7,4,5,2,3]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0] [1,6,7,3,4,5,2]=>{{1},{2,6},{3,7},{4},{5}}=>[1,6,7,4,5,2,3]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0] [1,6,7,3,5,2,4]=>{{1},{2,6},{3,7},{4},{5}}=>[1,6,7,4,5,2,3]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0] [1,6,7,3,5,4,2]=>{{1},{2,6},{3,7},{4},{5}}=>[1,6,7,4,5,2,3]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0] [1,6,7,4,2,3,5]=>{{1},{2,6},{3,7},{4},{5}}=>[1,6,7,4,5,2,3]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0] [1,6,7,4,2,5,3]=>{{1},{2,6},{3,7},{4},{5}}=>[1,6,7,4,5,2,3]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0] [1,6,7,4,3,2,5]=>{{1},{2,6},{3,7},{4},{5}}=>[1,6,7,4,5,2,3]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0] [1,6,7,4,3,5,2]=>{{1},{2,6},{3,7},{4},{5}}=>[1,6,7,4,5,2,3]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0] [1,6,7,4,5,2,3]=>{{1},{2,6},{3,7},{4},{5}}=>[1,6,7,4,5,2,3]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0] [1,6,7,4,5,3,2]=>{{1},{2,6},{3,7},{4},{5}}=>[1,6,7,4,5,2,3]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0] [1,6,7,5,2,3,4]=>{{1},{2,6},{3,7},{4,5}}=>[1,6,7,5,4,2,3]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0] [1,6,7,5,2,4,3]=>{{1},{2,6},{3,7},{4,5}}=>[1,6,7,5,4,2,3]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0] [1,6,7,5,3,2,4]=>{{1},{2,6},{3,7},{4,5}}=>[1,6,7,5,4,2,3]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0] [1,6,7,5,3,4,2]=>{{1},{2,6},{3,7},{4,5}}=>[1,6,7,5,4,2,3]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0] [1,6,7,5,4,2,3]=>{{1},{2,6},{3,7},{4,5}}=>[1,6,7,5,4,2,3]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0] [1,6,7,5,4,3,2]=>{{1},{2,6},{3,7},{4,5}}=>[1,6,7,5,4,2,3]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0] [1,7,2,3,4,5,6]=>{{1},{2,7},{3},{4},{5},{6}}=>[1,7,3,4,5,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,7,2,3,4,6,5]=>{{1},{2,7},{3},{4},{5},{6}}=>[1,7,3,4,5,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,7,2,3,5,4,6]=>{{1},{2,7},{3},{4},{5},{6}}=>[1,7,3,4,5,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,7,2,3,5,6,4]=>{{1},{2,7},{3},{4},{5},{6}}=>[1,7,3,4,5,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,7,2,3,6,4,5]=>{{1},{2,7},{3},{4},{5,6}}=>[1,7,3,4,6,5,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,7,2,3,6,5,4]=>{{1},{2,7},{3},{4},{5,6}}=>[1,7,3,4,6,5,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,7,2,4,3,5,6]=>{{1},{2,7},{3},{4},{5},{6}}=>[1,7,3,4,5,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,7,2,4,3,6,5]=>{{1},{2,7},{3},{4},{5},{6}}=>[1,7,3,4,5,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,7,2,4,5,3,6]=>{{1},{2,7},{3},{4},{5},{6}}=>[1,7,3,4,5,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,7,2,4,5,6,3]=>{{1},{2,7},{3},{4},{5},{6}}=>[1,7,3,4,5,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,7,2,4,6,3,5]=>{{1},{2,7},{3},{4},{5,6}}=>[1,7,3,4,6,5,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,7,2,4,6,5,3]=>{{1},{2,7},{3},{4},{5,6}}=>[1,7,3,4,6,5,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,7,2,5,3,4,6]=>{{1},{2,7},{3},{4,5},{6}}=>[1,7,3,5,4,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,7,2,5,3,6,4]=>{{1},{2,7},{3},{4,5},{6}}=>[1,7,3,5,4,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,7,2,5,4,3,6]=>{{1},{2,7},{3},{4,5},{6}}=>[1,7,3,5,4,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,7,2,5,4,6,3]=>{{1},{2,7},{3},{4,5},{6}}=>[1,7,3,5,4,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,7,2,5,6,3,4]=>{{1},{2,7},{3},{4,5,6}}=>[1,7,3,5,6,4,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,7,2,5,6,4,3]=>{{1},{2,7},{3},{4,5,6}}=>[1,7,3,5,6,4,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,7,2,6,3,4,5]=>{{1},{2,7},{3},{4,6},{5}}=>[1,7,3,6,5,4,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,7,2,6,3,5,4]=>{{1},{2,7},{3},{4,6},{5}}=>[1,7,3,6,5,4,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,7,2,6,4,3,5]=>{{1},{2,7},{3},{4,6},{5}}=>[1,7,3,6,5,4,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,7,2,6,4,5,3]=>{{1},{2,7},{3},{4,6},{5}}=>[1,7,3,6,5,4,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,7,2,6,5,3,4]=>{{1},{2,7},{3},{4,6},{5}}=>[1,7,3,6,5,4,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,7,2,6,5,4,3]=>{{1},{2,7},{3},{4,6},{5}}=>[1,7,3,6,5,4,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,7,3,2,4,5,6]=>{{1},{2,7},{3},{4},{5},{6}}=>[1,7,3,4,5,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,7,3,2,4,6,5]=>{{1},{2,7},{3},{4},{5},{6}}=>[1,7,3,4,5,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,7,3,2,5,4,6]=>{{1},{2,7},{3},{4},{5},{6}}=>[1,7,3,4,5,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,7,3,2,5,6,4]=>{{1},{2,7},{3},{4},{5},{6}}=>[1,7,3,4,5,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,7,3,2,6,4,5]=>{{1},{2,7},{3},{4},{5,6}}=>[1,7,3,4,6,5,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,7,3,2,6,5,4]=>{{1},{2,7},{3},{4},{5,6}}=>[1,7,3,4,6,5,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,7,3,4,2,5,6]=>{{1},{2,7},{3},{4},{5},{6}}=>[1,7,3,4,5,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,7,3,4,2,6,5]=>{{1},{2,7},{3},{4},{5},{6}}=>[1,7,3,4,5,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,7,3,4,5,2,6]=>{{1},{2,7},{3},{4},{5},{6}}=>[1,7,3,4,5,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,7,3,4,5,6,2]=>{{1},{2,7},{3},{4},{5},{6}}=>[1,7,3,4,5,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,7,3,4,6,2,5]=>{{1},{2,7},{3},{4},{5,6}}=>[1,7,3,4,6,5,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,7,3,4,6,5,2]=>{{1},{2,7},{3},{4},{5,6}}=>[1,7,3,4,6,5,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,7,3,5,2,4,6]=>{{1},{2,7},{3},{4,5},{6}}=>[1,7,3,5,4,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,7,3,5,2,6,4]=>{{1},{2,7},{3},{4,5},{6}}=>[1,7,3,5,4,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,7,3,5,4,2,6]=>{{1},{2,7},{3},{4,5},{6}}=>[1,7,3,5,4,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,7,3,5,4,6,2]=>{{1},{2,7},{3},{4,5},{6}}=>[1,7,3,5,4,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,7,3,5,6,2,4]=>{{1},{2,7},{3},{4,5,6}}=>[1,7,3,5,6,4,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,7,3,5,6,4,2]=>{{1},{2,7},{3},{4,5,6}}=>[1,7,3,5,6,4,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,7,3,6,2,4,5]=>{{1},{2,7},{3},{4,6},{5}}=>[1,7,3,6,5,4,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,7,3,6,2,5,4]=>{{1},{2,7},{3},{4,6},{5}}=>[1,7,3,6,5,4,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,7,3,6,4,2,5]=>{{1},{2,7},{3},{4,6},{5}}=>[1,7,3,6,5,4,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,7,3,6,4,5,2]=>{{1},{2,7},{3},{4,6},{5}}=>[1,7,3,6,5,4,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,7,3,6,5,2,4]=>{{1},{2,7},{3},{4,6},{5}}=>[1,7,3,6,5,4,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,7,3,6,5,4,2]=>{{1},{2,7},{3},{4,6},{5}}=>[1,7,3,6,5,4,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,7,4,2,3,5,6]=>{{1},{2,7},{3,4},{5},{6}}=>[1,7,4,3,5,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,7,4,2,3,6,5]=>{{1},{2,7},{3,4},{5},{6}}=>[1,7,4,3,5,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,7,4,2,5,3,6]=>{{1},{2,7},{3,4},{5},{6}}=>[1,7,4,3,5,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,7,4,2,5,6,3]=>{{1},{2,7},{3,4},{5},{6}}=>[1,7,4,3,5,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,7,4,2,6,3,5]=>{{1},{2,7},{3,4},{5,6}}=>[1,7,4,3,6,5,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,7,4,2,6,5,3]=>{{1},{2,7},{3,4},{5,6}}=>[1,7,4,3,6,5,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,7,4,3,2,5,6]=>{{1},{2,7},{3,4},{5},{6}}=>[1,7,4,3,5,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,7,4,3,2,6,5]=>{{1},{2,7},{3,4},{5},{6}}=>[1,7,4,3,5,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,7,4,3,5,2,6]=>{{1},{2,7},{3,4},{5},{6}}=>[1,7,4,3,5,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,7,4,3,5,6,2]=>{{1},{2,7},{3,4},{5},{6}}=>[1,7,4,3,5,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,7,4,3,6,2,5]=>{{1},{2,7},{3,4},{5,6}}=>[1,7,4,3,6,5,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,7,4,3,6,5,2]=>{{1},{2,7},{3,4},{5,6}}=>[1,7,4,3,6,5,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,7,4,5,2,3,6]=>{{1},{2,7},{3,4,5},{6}}=>[1,7,4,5,3,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,7,4,5,2,6,3]=>{{1},{2,7},{3,4,5},{6}}=>[1,7,4,5,3,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,7,4,5,3,2,6]=>{{1},{2,7},{3,4,5},{6}}=>[1,7,4,5,3,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,7,4,5,3,6,2]=>{{1},{2,7},{3,4,5},{6}}=>[1,7,4,5,3,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,7,4,5,6,2,3]=>{{1},{2,7},{3,4,5,6}}=>[1,7,4,5,6,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,7,4,5,6,3,2]=>{{1},{2,7},{3,4,5,6}}=>[1,7,4,5,6,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,7,4,6,2,3,5]=>{{1},{2,7},{3,4,6},{5}}=>[1,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,7,4,6,2,5,3]=>{{1},{2,7},{3,4,6},{5}}=>[1,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,7,4,6,3,2,5]=>{{1},{2,7},{3,4,6},{5}}=>[1,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,7,4,6,3,5,2]=>{{1},{2,7},{3,4,6},{5}}=>[1,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,7,4,6,5,2,3]=>{{1},{2,7},{3,4,6},{5}}=>[1,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,7,4,6,5,3,2]=>{{1},{2,7},{3,4,6},{5}}=>[1,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,7,5,2,3,4,6]=>{{1},{2,7},{3,5},{4},{6}}=>[1,7,5,4,3,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,7,5,2,3,6,4]=>{{1},{2,7},{3,5},{4},{6}}=>[1,7,5,4,3,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,7,5,2,4,3,6]=>{{1},{2,7},{3,5},{4},{6}}=>[1,7,5,4,3,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,7,5,2,4,6,3]=>{{1},{2,7},{3,5},{4},{6}}=>[1,7,5,4,3,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,7,5,2,6,3,4]=>{{1},{2,7},{3,5,6},{4}}=>[1,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,7,5,2,6,4,3]=>{{1},{2,7},{3,5,6},{4}}=>[1,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,7,5,3,2,4,6]=>{{1},{2,7},{3,5},{4},{6}}=>[1,7,5,4,3,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,7,5,3,2,6,4]=>{{1},{2,7},{3,5},{4},{6}}=>[1,7,5,4,3,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,7,5,3,4,2,6]=>{{1},{2,7},{3,5},{4},{6}}=>[1,7,5,4,3,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,7,5,3,4,6,2]=>{{1},{2,7},{3,5},{4},{6}}=>[1,7,5,4,3,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,7,5,3,6,2,4]=>{{1},{2,7},{3,5,6},{4}}=>[1,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,7,5,3,6,4,2]=>{{1},{2,7},{3,5,6},{4}}=>[1,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,7,5,4,2,3,6]=>{{1},{2,7},{3,5},{4},{6}}=>[1,7,5,4,3,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,7,5,4,2,6,3]=>{{1},{2,7},{3,5},{4},{6}}=>[1,7,5,4,3,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,7,5,4,3,2,6]=>{{1},{2,7},{3,5},{4},{6}}=>[1,7,5,4,3,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,7,5,4,3,6,2]=>{{1},{2,7},{3,5},{4},{6}}=>[1,7,5,4,3,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,7,5,4,6,2,3]=>{{1},{2,7},{3,5,6},{4}}=>[1,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,7,5,4,6,3,2]=>{{1},{2,7},{3,5,6},{4}}=>[1,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,7,5,6,2,3,4]=>{{1},{2,7},{3,5},{4,6}}=>[1,7,5,6,3,4,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,7,5,6,2,4,3]=>{{1},{2,7},{3,5},{4,6}}=>[1,7,5,6,3,4,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,7,5,6,3,2,4]=>{{1},{2,7},{3,5},{4,6}}=>[1,7,5,6,3,4,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,7,5,6,3,4,2]=>{{1},{2,7},{3,5},{4,6}}=>[1,7,5,6,3,4,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,7,5,6,4,2,3]=>{{1},{2,7},{3,5},{4,6}}=>[1,7,5,6,3,4,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,7,5,6,4,3,2]=>{{1},{2,7},{3,5},{4,6}}=>[1,7,5,6,3,4,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,7,6,2,3,4,5]=>{{1},{2,7},{3,6},{4},{5}}=>[1,7,6,4,5,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,7,6,2,3,5,4]=>{{1},{2,7},{3,6},{4},{5}}=>[1,7,6,4,5,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,7,6,2,4,3,5]=>{{1},{2,7},{3,6},{4},{5}}=>[1,7,6,4,5,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,7,6,2,4,5,3]=>{{1},{2,7},{3,6},{4},{5}}=>[1,7,6,4,5,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,7,6,2,5,3,4]=>{{1},{2,7},{3,6},{4},{5}}=>[1,7,6,4,5,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,7,6,2,5,4,3]=>{{1},{2,7},{3,6},{4},{5}}=>[1,7,6,4,5,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,7,6,3,2,4,5]=>{{1},{2,7},{3,6},{4},{5}}=>[1,7,6,4,5,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,7,6,3,2,5,4]=>{{1},{2,7},{3,6},{4},{5}}=>[1,7,6,4,5,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,7,6,3,4,2,5]=>{{1},{2,7},{3,6},{4},{5}}=>[1,7,6,4,5,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,7,6,3,4,5,2]=>{{1},{2,7},{3,6},{4},{5}}=>[1,7,6,4,5,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,7,6,3,5,2,4]=>{{1},{2,7},{3,6},{4},{5}}=>[1,7,6,4,5,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,7,6,3,5,4,2]=>{{1},{2,7},{3,6},{4},{5}}=>[1,7,6,4,5,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,7,6,4,2,3,5]=>{{1},{2,7},{3,6},{4},{5}}=>[1,7,6,4,5,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,7,6,4,2,5,3]=>{{1},{2,7},{3,6},{4},{5}}=>[1,7,6,4,5,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,7,6,4,3,2,5]=>{{1},{2,7},{3,6},{4},{5}}=>[1,7,6,4,5,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,7,6,4,3,5,2]=>{{1},{2,7},{3,6},{4},{5}}=>[1,7,6,4,5,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,7,6,4,5,2,3]=>{{1},{2,7},{3,6},{4},{5}}=>[1,7,6,4,5,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,7,6,4,5,3,2]=>{{1},{2,7},{3,6},{4},{5}}=>[1,7,6,4,5,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,7,6,5,2,3,4]=>{{1},{2,7},{3,6},{4,5}}=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,7,6,5,2,4,3]=>{{1},{2,7},{3,6},{4,5}}=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,7,6,5,3,2,4]=>{{1},{2,7},{3,6},{4,5}}=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,7,6,5,3,4,2]=>{{1},{2,7},{3,6},{4,5}}=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,7,6,5,4,2,3]=>{{1},{2,7},{3,6},{4,5}}=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0] [2,1,3,4,5,6,7]=>{{1,2},{3},{4},{5},{6},{7}}=>[2,1,3,4,5,6,7]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,0] [2,1,3,4,5,7,6]=>{{1,2},{3},{4},{5},{6,7}}=>[2,1,3,4,5,7,6]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0] [2,1,3,4,6,5,7]=>{{1,2},{3},{4},{5,6},{7}}=>[2,1,3,4,6,5,7]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0] [2,1,3,4,6,7,5]=>{{1,2},{3},{4},{5,6,7}}=>[2,1,3,4,6,7,5]=>[1,1,0,0,1,0,1,0,1,1,0,1,0,0] [2,1,3,4,7,5,6]=>{{1,2},{3},{4},{5,7},{6}}=>[2,1,3,4,7,6,5]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0] [2,1,3,4,7,6,5]=>{{1,2},{3},{4},{5,7},{6}}=>[2,1,3,4,7,6,5]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0] [2,1,3,5,4,6,7]=>{{1,2},{3},{4,5},{6},{7}}=>[2,1,3,5,4,6,7]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0] [2,1,3,5,4,7,6]=>{{1,2},{3},{4,5},{6,7}}=>[2,1,3,5,4,7,6]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0] [2,1,3,5,6,4,7]=>{{1,2},{3},{4,5,6},{7}}=>[2,1,3,5,6,4,7]=>[1,1,0,0,1,0,1,1,0,1,0,0,1,0] [2,1,3,5,6,7,4]=>{{1,2},{3},{4,5,6,7}}=>[2,1,3,5,6,7,4]=>[1,1,0,0,1,0,1,1,0,1,0,1,0,0] [2,1,3,5,7,4,6]=>{{1,2},{3},{4,5,7},{6}}=>[2,1,3,5,7,6,4]=>[1,1,0,0,1,0,1,1,0,1,1,0,0,0] [2,1,3,5,7,6,4]=>{{1,2},{3},{4,5,7},{6}}=>[2,1,3,5,7,6,4]=>[1,1,0,0,1,0,1,1,0,1,1,0,0,0] [2,1,3,6,4,5,7]=>{{1,2},{3},{4,6},{5},{7}}=>[2,1,3,6,5,4,7]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0] [2,1,3,6,4,7,5]=>{{1,2},{3},{4,6,7},{5}}=>[2,1,3,6,5,7,4]=>[1,1,0,0,1,0,1,1,1,0,0,1,0,0] [2,1,3,6,5,4,7]=>{{1,2},{3},{4,6},{5},{7}}=>[2,1,3,6,5,4,7]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0] [2,1,3,6,5,7,4]=>{{1,2},{3},{4,6,7},{5}}=>[2,1,3,6,5,7,4]=>[1,1,0,0,1,0,1,1,1,0,0,1,0,0] [2,1,3,6,7,4,5]=>{{1,2},{3},{4,6},{5,7}}=>[2,1,3,6,7,4,5]=>[1,1,0,0,1,0,1,1,1,0,1,0,0,0] [2,1,3,6,7,5,4]=>{{1,2},{3},{4,6},{5,7}}=>[2,1,3,6,7,4,5]=>[1,1,0,0,1,0,1,1,1,0,1,0,0,0] [2,1,3,7,4,5,6]=>{{1,2},{3},{4,7},{5},{6}}=>[2,1,3,7,5,6,4]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0] [2,1,3,7,4,6,5]=>{{1,2},{3},{4,7},{5},{6}}=>[2,1,3,7,5,6,4]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0] [2,1,3,7,5,4,6]=>{{1,2},{3},{4,7},{5},{6}}=>[2,1,3,7,5,6,4]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0] [2,1,3,7,5,6,4]=>{{1,2},{3},{4,7},{5},{6}}=>[2,1,3,7,5,6,4]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0] [2,1,3,7,6,4,5]=>{{1,2},{3},{4,7},{5,6}}=>[2,1,3,7,6,5,4]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0] [2,1,3,7,6,5,4]=>{{1,2},{3},{4,7},{5,6}}=>[2,1,3,7,6,5,4]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0] [2,1,4,3,5,6,7]=>{{1,2},{3,4},{5},{6},{7}}=>[2,1,4,3,5,6,7]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0] [2,1,4,3,5,7,6]=>{{1,2},{3,4},{5},{6,7}}=>[2,1,4,3,5,7,6]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0] [2,1,4,3,6,5,7]=>{{1,2},{3,4},{5,6},{7}}=>[2,1,4,3,6,5,7]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0] [2,1,4,3,6,7,5]=>{{1,2},{3,4},{5,6,7}}=>[2,1,4,3,6,7,5]=>[1,1,0,0,1,1,0,0,1,1,0,1,0,0] [2,1,4,3,7,5,6]=>{{1,2},{3,4},{5,7},{6}}=>[2,1,4,3,7,6,5]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0] [2,1,4,3,7,6,5]=>{{1,2},{3,4},{5,7},{6}}=>[2,1,4,3,7,6,5]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0] [2,1,4,5,3,6,7]=>{{1,2},{3,4,5},{6},{7}}=>[2,1,4,5,3,6,7]=>[1,1,0,0,1,1,0,1,0,0,1,0,1,0] [2,1,4,5,3,7,6]=>{{1,2},{3,4,5},{6,7}}=>[2,1,4,5,3,7,6]=>[1,1,0,0,1,1,0,1,0,0,1,1,0,0] [2,1,4,5,6,3,7]=>{{1,2},{3,4,5,6},{7}}=>[2,1,4,5,6,3,7]=>[1,1,0,0,1,1,0,1,0,1,0,0,1,0] [2,1,4,5,6,7,3]=>{{1,2},{3,4,5,6,7}}=>[2,1,4,5,6,7,3]=>[1,1,0,0,1,1,0,1,0,1,0,1,0,0] [2,1,4,5,7,3,6]=>{{1,2},{3,4,5,7},{6}}=>[2,1,4,5,7,6,3]=>[1,1,0,0,1,1,0,1,0,1,1,0,0,0] [2,1,4,5,7,6,3]=>{{1,2},{3,4,5,7},{6}}=>[2,1,4,5,7,6,3]=>[1,1,0,0,1,1,0,1,0,1,1,0,0,0] [2,1,4,6,3,5,7]=>{{1,2},{3,4,6},{5},{7}}=>[2,1,4,6,5,3,7]=>[1,1,0,0,1,1,0,1,1,0,0,0,1,0] [2,1,4,6,3,7,5]=>{{1,2},{3,4,6,7},{5}}=>[2,1,4,6,5,7,3]=>[1,1,0,0,1,1,0,1,1,0,0,1,0,0] [2,1,4,6,5,3,7]=>{{1,2},{3,4,6},{5},{7}}=>[2,1,4,6,5,3,7]=>[1,1,0,0,1,1,0,1,1,0,0,0,1,0] [2,1,4,6,5,7,3]=>{{1,2},{3,4,6,7},{5}}=>[2,1,4,6,5,7,3]=>[1,1,0,0,1,1,0,1,1,0,0,1,0,0] [2,1,4,6,7,3,5]=>{{1,2},{3,4,6},{5,7}}=>[2,1,4,6,7,3,5]=>[1,1,0,0,1,1,0,1,1,0,1,0,0,0] [2,1,4,6,7,5,3]=>{{1,2},{3,4,6},{5,7}}=>[2,1,4,6,7,3,5]=>[1,1,0,0,1,1,0,1,1,0,1,0,0,0] [2,1,4,7,3,5,6]=>{{1,2},{3,4,7},{5},{6}}=>[2,1,4,7,5,6,3]=>[1,1,0,0,1,1,0,1,1,1,0,0,0,0] [2,1,4,7,3,6,5]=>{{1,2},{3,4,7},{5},{6}}=>[2,1,4,7,5,6,3]=>[1,1,0,0,1,1,0,1,1,1,0,0,0,0] [2,1,4,7,5,3,6]=>{{1,2},{3,4,7},{5},{6}}=>[2,1,4,7,5,6,3]=>[1,1,0,0,1,1,0,1,1,1,0,0,0,0] [2,1,4,7,5,6,3]=>{{1,2},{3,4,7},{5},{6}}=>[2,1,4,7,5,6,3]=>[1,1,0,0,1,1,0,1,1,1,0,0,0,0] [2,1,4,7,6,3,5]=>{{1,2},{3,4,7},{5,6}}=>[2,1,4,7,6,5,3]=>[1,1,0,0,1,1,0,1,1,1,0,0,0,0] [2,1,4,7,6,5,3]=>{{1,2},{3,4,7},{5,6}}=>[2,1,4,7,6,5,3]=>[1,1,0,0,1,1,0,1,1,1,0,0,0,0] [2,1,5,3,4,6,7]=>{{1,2},{3,5},{4},{6},{7}}=>[2,1,5,4,3,6,7]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0] [2,1,5,3,4,7,6]=>{{1,2},{3,5},{4},{6,7}}=>[2,1,5,4,3,7,6]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0] [2,1,5,3,6,4,7]=>{{1,2},{3,5,6},{4},{7}}=>[2,1,5,4,6,3,7]=>[1,1,0,0,1,1,1,0,0,1,0,0,1,0] [2,1,5,3,6,7,4]=>{{1,2},{3,5,6,7},{4}}=>[2,1,5,4,6,7,3]=>[1,1,0,0,1,1,1,0,0,1,0,1,0,0] [2,1,5,3,7,4,6]=>{{1,2},{3,5,7},{4},{6}}=>[2,1,5,4,7,6,3]=>[1,1,0,0,1,1,1,0,0,1,1,0,0,0] [2,1,5,3,7,6,4]=>{{1,2},{3,5,7},{4},{6}}=>[2,1,5,4,7,6,3]=>[1,1,0,0,1,1,1,0,0,1,1,0,0,0] [2,1,5,4,3,6,7]=>{{1,2},{3,5},{4},{6},{7}}=>[2,1,5,4,3,6,7]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0] [2,1,5,4,3,7,6]=>{{1,2},{3,5},{4},{6,7}}=>[2,1,5,4,3,7,6]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0] [2,1,5,4,6,3,7]=>{{1,2},{3,5,6},{4},{7}}=>[2,1,5,4,6,3,7]=>[1,1,0,0,1,1,1,0,0,1,0,0,1,0] [2,1,5,4,6,7,3]=>{{1,2},{3,5,6,7},{4}}=>[2,1,5,4,6,7,3]=>[1,1,0,0,1,1,1,0,0,1,0,1,0,0] [2,1,5,4,7,3,6]=>{{1,2},{3,5,7},{4},{6}}=>[2,1,5,4,7,6,3]=>[1,1,0,0,1,1,1,0,0,1,1,0,0,0] [2,1,5,4,7,6,3]=>{{1,2},{3,5,7},{4},{6}}=>[2,1,5,4,7,6,3]=>[1,1,0,0,1,1,1,0,0,1,1,0,0,0] [2,1,5,6,3,4,7]=>{{1,2},{3,5},{4,6},{7}}=>[2,1,5,6,3,4,7]=>[1,1,0,0,1,1,1,0,1,0,0,0,1,0] [2,1,5,6,3,7,4]=>{{1,2},{3,5},{4,6,7}}=>[2,1,5,6,3,7,4]=>[1,1,0,0,1,1,1,0,1,0,0,1,0,0] [2,1,5,6,4,3,7]=>{{1,2},{3,5},{4,6},{7}}=>[2,1,5,6,3,4,7]=>[1,1,0,0,1,1,1,0,1,0,0,0,1,0] [2,1,5,6,4,7,3]=>{{1,2},{3,5},{4,6,7}}=>[2,1,5,6,3,7,4]=>[1,1,0,0,1,1,1,0,1,0,0,1,0,0] [2,1,5,6,7,3,4]=>{{1,2},{3,5,7},{4,6}}=>[2,1,5,6,7,4,3]=>[1,1,0,0,1,1,1,0,1,0,1,0,0,0] [2,1,5,6,7,4,3]=>{{1,2},{3,5,7},{4,6}}=>[2,1,5,6,7,4,3]=>[1,1,0,0,1,1,1,0,1,0,1,0,0,0] [2,1,5,7,3,4,6]=>{{1,2},{3,5},{4,7},{6}}=>[2,1,5,7,3,6,4]=>[1,1,0,0,1,1,1,0,1,1,0,0,0,0] [2,1,5,7,3,6,4]=>{{1,2},{3,5},{4,7},{6}}=>[2,1,5,7,3,6,4]=>[1,1,0,0,1,1,1,0,1,1,0,0,0,0] [2,1,5,7,4,3,6]=>{{1,2},{3,5},{4,7},{6}}=>[2,1,5,7,3,6,4]=>[1,1,0,0,1,1,1,0,1,1,0,0,0,0] [2,1,5,7,4,6,3]=>{{1,2},{3,5},{4,7},{6}}=>[2,1,5,7,3,6,4]=>[1,1,0,0,1,1,1,0,1,1,0,0,0,0] [2,1,5,7,6,3,4]=>{{1,2},{3,5,6},{4,7}}=>[2,1,5,7,6,3,4]=>[1,1,0,0,1,1,1,0,1,1,0,0,0,0] [2,1,5,7,6,4,3]=>{{1,2},{3,5,6},{4,7}}=>[2,1,5,7,6,3,4]=>[1,1,0,0,1,1,1,0,1,1,0,0,0,0] [2,1,6,3,4,5,7]=>{{1,2},{3,6},{4},{5},{7}}=>[2,1,6,4,5,3,7]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0] [2,1,6,3,4,7,5]=>{{1,2},{3,6,7},{4},{5}}=>[2,1,6,4,5,7,3]=>[1,1,0,0,1,1,1,1,0,0,0,1,0,0] [2,1,6,3,5,4,7]=>{{1,2},{3,6},{4},{5},{7}}=>[2,1,6,4,5,3,7]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0] [2,1,6,3,5,7,4]=>{{1,2},{3,6,7},{4},{5}}=>[2,1,6,4,5,7,3]=>[1,1,0,0,1,1,1,1,0,0,0,1,0,0] [2,1,6,3,7,4,5]=>{{1,2},{3,6},{4},{5,7}}=>[2,1,6,4,7,3,5]=>[1,1,0,0,1,1,1,1,0,0,1,0,0,0] [2,1,6,3,7,5,4]=>{{1,2},{3,6},{4},{5,7}}=>[2,1,6,4,7,3,5]=>[1,1,0,0,1,1,1,1,0,0,1,0,0,0] [2,1,6,4,3,5,7]=>{{1,2},{3,6},{4},{5},{7}}=>[2,1,6,4,5,3,7]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0] [2,1,6,4,3,7,5]=>{{1,2},{3,6,7},{4},{5}}=>[2,1,6,4,5,7,3]=>[1,1,0,0,1,1,1,1,0,0,0,1,0,0] [2,1,6,4,5,3,7]=>{{1,2},{3,6},{4},{5},{7}}=>[2,1,6,4,5,3,7]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0] [2,1,6,4,5,7,3]=>{{1,2},{3,6,7},{4},{5}}=>[2,1,6,4,5,7,3]=>[1,1,0,0,1,1,1,1,0,0,0,1,0,0] [2,1,6,4,7,3,5]=>{{1,2},{3,6},{4},{5,7}}=>[2,1,6,4,7,3,5]=>[1,1,0,0,1,1,1,1,0,0,1,0,0,0] [2,1,6,4,7,5,3]=>{{1,2},{3,6},{4},{5,7}}=>[2,1,6,4,7,3,5]=>[1,1,0,0,1,1,1,1,0,0,1,0,0,0] [2,1,6,5,3,4,7]=>{{1,2},{3,6},{4,5},{7}}=>[2,1,6,5,4,3,7]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0] [2,1,6,5,3,7,4]=>{{1,2},{3,6,7},{4,5}}=>[2,1,6,5,4,7,3]=>[1,1,0,0,1,1,1,1,0,0,0,1,0,0] [2,1,6,5,4,3,7]=>{{1,2},{3,6},{4,5},{7}}=>[2,1,6,5,4,3,7]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0] [2,1,6,5,4,7,3]=>{{1,2},{3,6,7},{4,5}}=>[2,1,6,5,4,7,3]=>[1,1,0,0,1,1,1,1,0,0,0,1,0,0] [2,1,6,5,7,3,4]=>{{1,2},{3,6},{4,5,7}}=>[2,1,6,5,7,3,4]=>[1,1,0,0,1,1,1,1,0,0,1,0,0,0] [2,1,6,5,7,4,3]=>{{1,2},{3,6},{4,5,7}}=>[2,1,6,5,7,3,4]=>[1,1,0,0,1,1,1,1,0,0,1,0,0,0] [2,1,6,7,3,4,5]=>{{1,2},{3,6},{4,7},{5}}=>[2,1,6,7,5,3,4]=>[1,1,0,0,1,1,1,1,0,1,0,0,0,0] [2,1,6,7,3,5,4]=>{{1,2},{3,6},{4,7},{5}}=>[2,1,6,7,5,3,4]=>[1,1,0,0,1,1,1,1,0,1,0,0,0,0] [2,1,6,7,4,3,5]=>{{1,2},{3,6},{4,7},{5}}=>[2,1,6,7,5,3,4]=>[1,1,0,0,1,1,1,1,0,1,0,0,0,0] [2,1,6,7,4,5,3]=>{{1,2},{3,6},{4,7},{5}}=>[2,1,6,7,5,3,4]=>[1,1,0,0,1,1,1,1,0,1,0,0,0,0] [2,1,6,7,5,3,4]=>{{1,2},{3,6},{4,7},{5}}=>[2,1,6,7,5,3,4]=>[1,1,0,0,1,1,1,1,0,1,0,0,0,0] [2,1,6,7,5,4,3]=>{{1,2},{3,6},{4,7},{5}}=>[2,1,6,7,5,3,4]=>[1,1,0,0,1,1,1,1,0,1,0,0,0,0] [2,1,7,3,4,5,6]=>{{1,2},{3,7},{4},{5},{6}}=>[2,1,7,4,5,6,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0] [2,1,7,3,4,6,5]=>{{1,2},{3,7},{4},{5},{6}}=>[2,1,7,4,5,6,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0] [2,1,7,3,5,4,6]=>{{1,2},{3,7},{4},{5},{6}}=>[2,1,7,4,5,6,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0] [2,1,7,3,5,6,4]=>{{1,2},{3,7},{4},{5},{6}}=>[2,1,7,4,5,6,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0] [2,1,7,3,6,4,5]=>{{1,2},{3,7},{4},{5,6}}=>[2,1,7,4,6,5,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0] [2,1,7,3,6,5,4]=>{{1,2},{3,7},{4},{5,6}}=>[2,1,7,4,6,5,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0] [2,1,7,4,3,5,6]=>{{1,2},{3,7},{4},{5},{6}}=>[2,1,7,4,5,6,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0] [2,1,7,4,3,6,5]=>{{1,2},{3,7},{4},{5},{6}}=>[2,1,7,4,5,6,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0] [2,1,7,4,5,3,6]=>{{1,2},{3,7},{4},{5},{6}}=>[2,1,7,4,5,6,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0] [2,1,7,4,5,6,3]=>{{1,2},{3,7},{4},{5},{6}}=>[2,1,7,4,5,6,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0] [2,1,7,4,6,3,5]=>{{1,2},{3,7},{4},{5,6}}=>[2,1,7,4,6,5,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0] [2,1,7,4,6,5,3]=>{{1,2},{3,7},{4},{5,6}}=>[2,1,7,4,6,5,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0] [2,1,7,5,3,4,6]=>{{1,2},{3,7},{4,5},{6}}=>[2,1,7,5,4,6,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0] [2,1,7,5,3,6,4]=>{{1,2},{3,7},{4,5},{6}}=>[2,1,7,5,4,6,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0] [2,1,7,5,4,3,6]=>{{1,2},{3,7},{4,5},{6}}=>[2,1,7,5,4,6,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0] [2,1,7,5,4,6,3]=>{{1,2},{3,7},{4,5},{6}}=>[2,1,7,5,4,6,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0] [2,1,7,5,6,3,4]=>{{1,2},{3,7},{4,5,6}}=>[2,1,7,5,6,4,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0] [2,1,7,5,6,4,3]=>{{1,2},{3,7},{4,5,6}}=>[2,1,7,5,6,4,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0] [2,1,7,6,3,4,5]=>{{1,2},{3,7},{4,6},{5}}=>[2,1,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0] [2,1,7,6,3,5,4]=>{{1,2},{3,7},{4,6},{5}}=>[2,1,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0] [2,1,7,6,4,3,5]=>{{1,2},{3,7},{4,6},{5}}=>[2,1,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0] [2,1,7,6,4,5,3]=>{{1,2},{3,7},{4,6},{5}}=>[2,1,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0] [2,1,7,6,5,3,4]=>{{1,2},{3,7},{4,6},{5}}=>[2,1,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0] [2,1,7,6,5,4,3]=>{{1,2},{3,7},{4,6},{5}}=>[2,1,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0] [2,3,1,4,5,6,7]=>{{1,2,3},{4},{5},{6},{7}}=>[2,3,1,4,5,6,7]=>[1,1,0,1,0,0,1,0,1,0,1,0,1,0] [2,3,1,4,5,7,6]=>{{1,2,3},{4},{5},{6,7}}=>[2,3,1,4,5,7,6]=>[1,1,0,1,0,0,1,0,1,0,1,1,0,0] [2,3,1,4,6,5,7]=>{{1,2,3},{4},{5,6},{7}}=>[2,3,1,4,6,5,7]=>[1,1,0,1,0,0,1,0,1,1,0,0,1,0] [2,3,1,4,6,7,5]=>{{1,2,3},{4},{5,6,7}}=>[2,3,1,4,6,7,5]=>[1,1,0,1,0,0,1,0,1,1,0,1,0,0] [2,3,1,4,7,5,6]=>{{1,2,3},{4},{5,7},{6}}=>[2,3,1,4,7,6,5]=>[1,1,0,1,0,0,1,0,1,1,1,0,0,0] [2,3,1,4,7,6,5]=>{{1,2,3},{4},{5,7},{6}}=>[2,3,1,4,7,6,5]=>[1,1,0,1,0,0,1,0,1,1,1,0,0,0] [2,3,1,5,4,6,7]=>{{1,2,3},{4,5},{6},{7}}=>[2,3,1,5,4,6,7]=>[1,1,0,1,0,0,1,1,0,0,1,0,1,0] [2,3,1,5,4,7,6]=>{{1,2,3},{4,5},{6,7}}=>[2,3,1,5,4,7,6]=>[1,1,0,1,0,0,1,1,0,0,1,1,0,0] [2,3,1,5,6,4,7]=>{{1,2,3},{4,5,6},{7}}=>[2,3,1,5,6,4,7]=>[1,1,0,1,0,0,1,1,0,1,0,0,1,0] [2,3,1,5,6,7,4]=>{{1,2,3},{4,5,6,7}}=>[2,3,1,5,6,7,4]=>[1,1,0,1,0,0,1,1,0,1,0,1,0,0] [2,3,1,5,7,4,6]=>{{1,2,3},{4,5,7},{6}}=>[2,3,1,5,7,6,4]=>[1,1,0,1,0,0,1,1,0,1,1,0,0,0] [2,3,1,5,7,6,4]=>{{1,2,3},{4,5,7},{6}}=>[2,3,1,5,7,6,4]=>[1,1,0,1,0,0,1,1,0,1,1,0,0,0] [2,3,1,6,4,5,7]=>{{1,2,3},{4,6},{5},{7}}=>[2,3,1,6,5,4,7]=>[1,1,0,1,0,0,1,1,1,0,0,0,1,0] [2,3,1,6,4,7,5]=>{{1,2,3},{4,6,7},{5}}=>[2,3,1,6,5,7,4]=>[1,1,0,1,0,0,1,1,1,0,0,1,0,0] [2,3,1,6,5,4,7]=>{{1,2,3},{4,6},{5},{7}}=>[2,3,1,6,5,4,7]=>[1,1,0,1,0,0,1,1,1,0,0,0,1,0] [2,3,1,6,5,7,4]=>{{1,2,3},{4,6,7},{5}}=>[2,3,1,6,5,7,4]=>[1,1,0,1,0,0,1,1,1,0,0,1,0,0] [2,3,1,6,7,4,5]=>{{1,2,3},{4,6},{5,7}}=>[2,3,1,6,7,4,5]=>[1,1,0,1,0,0,1,1,1,0,1,0,0,0] [2,3,1,6,7,5,4]=>{{1,2,3},{4,6},{5,7}}=>[2,3,1,6,7,4,5]=>[1,1,0,1,0,0,1,1,1,0,1,0,0,0] [2,3,1,7,4,5,6]=>{{1,2,3},{4,7},{5},{6}}=>[2,3,1,7,5,6,4]=>[1,1,0,1,0,0,1,1,1,1,0,0,0,0] [2,3,1,7,4,6,5]=>{{1,2,3},{4,7},{5},{6}}=>[2,3,1,7,5,6,4]=>[1,1,0,1,0,0,1,1,1,1,0,0,0,0] [2,3,1,7,5,4,6]=>{{1,2,3},{4,7},{5},{6}}=>[2,3,1,7,5,6,4]=>[1,1,0,1,0,0,1,1,1,1,0,0,0,0] [2,3,1,7,5,6,4]=>{{1,2,3},{4,7},{5},{6}}=>[2,3,1,7,5,6,4]=>[1,1,0,1,0,0,1,1,1,1,0,0,0,0] [2,3,1,7,6,4,5]=>{{1,2,3},{4,7},{5,6}}=>[2,3,1,7,6,5,4]=>[1,1,0,1,0,0,1,1,1,1,0,0,0,0] [2,3,1,7,6,5,4]=>{{1,2,3},{4,7},{5,6}}=>[2,3,1,7,6,5,4]=>[1,1,0,1,0,0,1,1,1,1,0,0,0,0] [2,3,4,1,5,6,7]=>{{1,2,3,4},{5},{6},{7}}=>[2,3,4,1,5,6,7]=>[1,1,0,1,0,1,0,0,1,0,1,0,1,0] [2,3,4,1,5,7,6]=>{{1,2,3,4},{5},{6,7}}=>[2,3,4,1,5,7,6]=>[1,1,0,1,0,1,0,0,1,0,1,1,0,0] [2,3,4,1,6,5,7]=>{{1,2,3,4},{5,6},{7}}=>[2,3,4,1,6,5,7]=>[1,1,0,1,0,1,0,0,1,1,0,0,1,0] [2,3,4,1,6,7,5]=>{{1,2,3,4},{5,6,7}}=>[2,3,4,1,6,7,5]=>[1,1,0,1,0,1,0,0,1,1,0,1,0,0] [2,3,4,1,7,5,6]=>{{1,2,3,4},{5,7},{6}}=>[2,3,4,1,7,6,5]=>[1,1,0,1,0,1,0,0,1,1,1,0,0,0] [2,3,4,1,7,6,5]=>{{1,2,3,4},{5,7},{6}}=>[2,3,4,1,7,6,5]=>[1,1,0,1,0,1,0,0,1,1,1,0,0,0] [2,3,4,5,1,6,7]=>{{1,2,3,4,5},{6},{7}}=>[2,3,4,5,1,6,7]=>[1,1,0,1,0,1,0,1,0,0,1,0,1,0] [2,3,4,5,1,7,6]=>{{1,2,3,4,5},{6,7}}=>[2,3,4,5,1,7,6]=>[1,1,0,1,0,1,0,1,0,0,1,1,0,0] [2,3,4,5,6,1,7]=>{{1,2,3,4,5,6},{7}}=>[2,3,4,5,6,1,7]=>[1,1,0,1,0,1,0,1,0,1,0,0,1,0] [2,3,4,5,6,7,1]=>{{1,2,3,4,5,6,7}}=>[2,3,4,5,6,7,1]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,0] [2,3,4,5,7,1,6]=>{{1,2,3,4,5,7},{6}}=>[2,3,4,5,7,6,1]=>[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}}=>[2,3,4,5,7,6,1]=>[1,1,0,1,0,1,0,1,0,1,1,0,0,0] [2,3,4,6,1,5,7]=>{{1,2,3,4,6},{5},{7}}=>[2,3,4,6,5,1,7]=>[1,1,0,1,0,1,0,1,1,0,0,0,1,0] [2,3,4,6,1,7,5]=>{{1,2,3,4,6,7},{5}}=>[2,3,4,6,5,7,1]=>[1,1,0,1,0,1,0,1,1,0,0,1,0,0] [2,3,4,6,5,1,7]=>{{1,2,3,4,6},{5},{7}}=>[2,3,4,6,5,1,7]=>[1,1,0,1,0,1,0,1,1,0,0,0,1,0] [2,3,4,6,5,7,1]=>{{1,2,3,4,6,7},{5}}=>[2,3,4,6,5,7,1]=>[1,1,0,1,0,1,0,1,1,0,0,1,0,0] [2,3,4,6,7,1,5]=>{{1,2,3,4,6},{5,7}}=>[2,3,4,6,7,1,5]=>[1,1,0,1,0,1,0,1,1,0,1,0,0,0] [2,3,4,6,7,5,1]=>{{1,2,3,4,6},{5,7}}=>[2,3,4,6,7,1,5]=>[1,1,0,1,0,1,0,1,1,0,1,0,0,0] [2,3,4,7,1,5,6]=>{{1,2,3,4,7},{5},{6}}=>[2,3,4,7,5,6,1]=>[1,1,0,1,0,1,0,1,1,1,0,0,0,0] [2,3,4,7,1,6,5]=>{{1,2,3,4,7},{5},{6}}=>[2,3,4,7,5,6,1]=>[1,1,0,1,0,1,0,1,1,1,0,0,0,0] [2,3,4,7,5,1,6]=>{{1,2,3,4,7},{5},{6}}=>[2,3,4,7,5,6,1]=>[1,1,0,1,0,1,0,1,1,1,0,0,0,0] [2,3,4,7,5,6,1]=>{{1,2,3,4,7},{5},{6}}=>[2,3,4,7,5,6,1]=>[1,1,0,1,0,1,0,1,1,1,0,0,0,0] [2,3,4,7,6,1,5]=>{{1,2,3,4,7},{5,6}}=>[2,3,4,7,6,5,1]=>[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},{5,6}}=>[2,3,4,7,6,5,1]=>[1,1,0,1,0,1,0,1,1,1,0,0,0,0] [2,3,5,1,4,6,7]=>{{1,2,3,5},{4},{6},{7}}=>[2,3,5,4,1,6,7]=>[1,1,0,1,0,1,1,0,0,0,1,0,1,0] [2,3,5,1,4,7,6]=>{{1,2,3,5},{4},{6,7}}=>[2,3,5,4,1,7,6]=>[1,1,0,1,0,1,1,0,0,0,1,1,0,0] [2,3,5,1,6,4,7]=>{{1,2,3,5,6},{4},{7}}=>[2,3,5,4,6,1,7]=>[1,1,0,1,0,1,1,0,0,1,0,0,1,0] [2,3,5,1,6,7,4]=>{{1,2,3,5,6,7},{4}}=>[2,3,5,4,6,7,1]=>[1,1,0,1,0,1,1,0,0,1,0,1,0,0] [2,3,5,1,7,4,6]=>{{1,2,3,5,7},{4},{6}}=>[2,3,5,4,7,6,1]=>[1,1,0,1,0,1,1,0,0,1,1,0,0,0] [2,3,5,1,7,6,4]=>{{1,2,3,5,7},{4},{6}}=>[2,3,5,4,7,6,1]=>[1,1,0,1,0,1,1,0,0,1,1,0,0,0] [2,3,5,4,1,6,7]=>{{1,2,3,5},{4},{6},{7}}=>[2,3,5,4,1,6,7]=>[1,1,0,1,0,1,1,0,0,0,1,0,1,0] [2,3,5,4,1,7,6]=>{{1,2,3,5},{4},{6,7}}=>[2,3,5,4,1,7,6]=>[1,1,0,1,0,1,1,0,0,0,1,1,0,0] [2,3,5,4,6,1,7]=>{{1,2,3,5,6},{4},{7}}=>[2,3,5,4,6,1,7]=>[1,1,0,1,0,1,1,0,0,1,0,0,1,0] [2,3,5,4,6,7,1]=>{{1,2,3,5,6,7},{4}}=>[2,3,5,4,6,7,1]=>[1,1,0,1,0,1,1,0,0,1,0,1,0,0] [2,3,5,4,7,1,6]=>{{1,2,3,5,7},{4},{6}}=>[2,3,5,4,7,6,1]=>[1,1,0,1,0,1,1,0,0,1,1,0,0,0] [2,3,5,4,7,6,1]=>{{1,2,3,5,7},{4},{6}}=>[2,3,5,4,7,6,1]=>[1,1,0,1,0,1,1,0,0,1,1,0,0,0] [2,3,5,6,1,4,7]=>{{1,2,3,5},{4,6},{7}}=>[2,3,5,6,1,4,7]=>[1,1,0,1,0,1,1,0,1,0,0,0,1,0] [2,3,5,6,1,7,4]=>{{1,2,3,5},{4,6,7}}=>[2,3,5,6,1,7,4]=>[1,1,0,1,0,1,1,0,1,0,0,1,0,0] [2,3,5,6,4,1,7]=>{{1,2,3,5},{4,6},{7}}=>[2,3,5,6,1,4,7]=>[1,1,0,1,0,1,1,0,1,0,0,0,1,0] [2,3,5,6,4,7,1]=>{{1,2,3,5},{4,6,7}}=>[2,3,5,6,1,7,4]=>[1,1,0,1,0,1,1,0,1,0,0,1,0,0] [2,3,5,6,7,1,4]=>{{1,2,3,5,7},{4,6}}=>[2,3,5,6,7,4,1]=>[1,1,0,1,0,1,1,0,1,0,1,0,0,0] [2,3,5,6,7,4,1]=>{{1,2,3,5,7},{4,6}}=>[2,3,5,6,7,4,1]=>[1,1,0,1,0,1,1,0,1,0,1,0,0,0] [2,3,5,7,1,4,6]=>{{1,2,3,5},{4,7},{6}}=>[2,3,5,7,1,6,4]=>[1,1,0,1,0,1,1,0,1,1,0,0,0,0] [2,3,5,7,1,6,4]=>{{1,2,3,5},{4,7},{6}}=>[2,3,5,7,1,6,4]=>[1,1,0,1,0,1,1,0,1,1,0,0,0,0] [2,3,5,7,4,1,6]=>{{1,2,3,5},{4,7},{6}}=>[2,3,5,7,1,6,4]=>[1,1,0,1,0,1,1,0,1,1,0,0,0,0] [2,3,5,7,4,6,1]=>{{1,2,3,5},{4,7},{6}}=>[2,3,5,7,1,6,4]=>[1,1,0,1,0,1,1,0,1,1,0,0,0,0] [2,3,5,7,6,1,4]=>{{1,2,3,5,6},{4,7}}=>[2,3,5,7,6,1,4]=>[1,1,0,1,0,1,1,0,1,1,0,0,0,0] [2,3,5,7,6,4,1]=>{{1,2,3,5,6},{4,7}}=>[2,3,5,7,6,1,4]=>[1,1,0,1,0,1,1,0,1,1,0,0,0,0] [2,3,6,1,4,5,7]=>{{1,2,3,6},{4},{5},{7}}=>[2,3,6,4,5,1,7]=>[1,1,0,1,0,1,1,1,0,0,0,0,1,0] [2,3,6,1,4,7,5]=>{{1,2,3,6,7},{4},{5}}=>[2,3,6,4,5,7,1]=>[1,1,0,1,0,1,1,1,0,0,0,1,0,0] [2,3,6,1,5,4,7]=>{{1,2,3,6},{4},{5},{7}}=>[2,3,6,4,5,1,7]=>[1,1,0,1,0,1,1,1,0,0,0,0,1,0] [2,3,6,1,5,7,4]=>{{1,2,3,6,7},{4},{5}}=>[2,3,6,4,5,7,1]=>[1,1,0,1,0,1,1,1,0,0,0,1,0,0] [2,3,6,1,7,4,5]=>{{1,2,3,6},{4},{5,7}}=>[2,3,6,4,7,1,5]=>[1,1,0,1,0,1,1,1,0,0,1,0,0,0] [2,3,6,1,7,5,4]=>{{1,2,3,6},{4},{5,7}}=>[2,3,6,4,7,1,5]=>[1,1,0,1,0,1,1,1,0,0,1,0,0,0] [2,3,6,4,1,5,7]=>{{1,2,3,6},{4},{5},{7}}=>[2,3,6,4,5,1,7]=>[1,1,0,1,0,1,1,1,0,0,0,0,1,0] [2,3,6,4,1,7,5]=>{{1,2,3,6,7},{4},{5}}=>[2,3,6,4,5,7,1]=>[1,1,0,1,0,1,1,1,0,0,0,1,0,0] [2,3,6,4,5,1,7]=>{{1,2,3,6},{4},{5},{7}}=>[2,3,6,4,5,1,7]=>[1,1,0,1,0,1,1,1,0,0,0,0,1,0] [2,3,6,4,5,7,1]=>{{1,2,3,6,7},{4},{5}}=>[2,3,6,4,5,7,1]=>[1,1,0,1,0,1,1,1,0,0,0,1,0,0] [2,3,6,4,7,1,5]=>{{1,2,3,6},{4},{5,7}}=>[2,3,6,4,7,1,5]=>[1,1,0,1,0,1,1,1,0,0,1,0,0,0] [2,3,6,4,7,5,1]=>{{1,2,3,6},{4},{5,7}}=>[2,3,6,4,7,1,5]=>[1,1,0,1,0,1,1,1,0,0,1,0,0,0] [2,3,6,5,1,4,7]=>{{1,2,3,6},{4,5},{7}}=>[2,3,6,5,4,1,7]=>[1,1,0,1,0,1,1,1,0,0,0,0,1,0] [2,3,6,5,1,7,4]=>{{1,2,3,6,7},{4,5}}=>[2,3,6,5,4,7,1]=>[1,1,0,1,0,1,1,1,0,0,0,1,0,0] [2,3,6,5,4,1,7]=>{{1,2,3,6},{4,5},{7}}=>[2,3,6,5,4,1,7]=>[1,1,0,1,0,1,1,1,0,0,0,0,1,0] [2,3,6,5,4,7,1]=>{{1,2,3,6,7},{4,5}}=>[2,3,6,5,4,7,1]=>[1,1,0,1,0,1,1,1,0,0,0,1,0,0] [2,3,6,5,7,1,4]=>{{1,2,3,6},{4,5,7}}=>[2,3,6,5,7,1,4]=>[1,1,0,1,0,1,1,1,0,0,1,0,0,0] [2,3,6,5,7,4,1]=>{{1,2,3,6},{4,5,7}}=>[2,3,6,5,7,1,4]=>[1,1,0,1,0,1,1,1,0,0,1,0,0,0] [2,3,6,7,1,4,5]=>{{1,2,3,6},{4,7},{5}}=>[2,3,6,7,5,1,4]=>[1,1,0,1,0,1,1,1,0,1,0,0,0,0] [2,3,6,7,1,5,4]=>{{1,2,3,6},{4,7},{5}}=>[2,3,6,7,5,1,4]=>[1,1,0,1,0,1,1,1,0,1,0,0,0,0] [2,3,6,7,4,1,5]=>{{1,2,3,6},{4,7},{5}}=>[2,3,6,7,5,1,4]=>[1,1,0,1,0,1,1,1,0,1,0,0,0,0] [2,3,6,7,4,5,1]=>{{1,2,3,6},{4,7},{5}}=>[2,3,6,7,5,1,4]=>[1,1,0,1,0,1,1,1,0,1,0,0,0,0] [2,3,6,7,5,1,4]=>{{1,2,3,6},{4,7},{5}}=>[2,3,6,7,5,1,4]=>[1,1,0,1,0,1,1,1,0,1,0,0,0,0] [2,3,6,7,5,4,1]=>{{1,2,3,6},{4,7},{5}}=>[2,3,6,7,5,1,4]=>[1,1,0,1,0,1,1,1,0,1,0,0,0,0] [2,3,7,1,4,5,6]=>{{1,2,3,7},{4},{5},{6}}=>[2,3,7,4,5,6,1]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0] [2,3,7,1,4,6,5]=>{{1,2,3,7},{4},{5},{6}}=>[2,3,7,4,5,6,1]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0] [2,3,7,1,5,4,6]=>{{1,2,3,7},{4},{5},{6}}=>[2,3,7,4,5,6,1]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0] [2,3,7,1,5,6,4]=>{{1,2,3,7},{4},{5},{6}}=>[2,3,7,4,5,6,1]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0] [2,3,7,1,6,4,5]=>{{1,2,3,7},{4},{5,6}}=>[2,3,7,4,6,5,1]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0] [2,3,7,1,6,5,4]=>{{1,2,3,7},{4},{5,6}}=>[2,3,7,4,6,5,1]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0] [2,3,7,4,1,5,6]=>{{1,2,3,7},{4},{5},{6}}=>[2,3,7,4,5,6,1]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0] [2,3,7,4,1,6,5]=>{{1,2,3,7},{4},{5},{6}}=>[2,3,7,4,5,6,1]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0] [2,3,7,4,5,1,6]=>{{1,2,3,7},{4},{5},{6}}=>[2,3,7,4,5,6,1]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0] [2,3,7,4,5,6,1]=>{{1,2,3,7},{4},{5},{6}}=>[2,3,7,4,5,6,1]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0] [2,3,7,4,6,1,5]=>{{1,2,3,7},{4},{5,6}}=>[2,3,7,4,6,5,1]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0] [2,3,7,4,6,5,1]=>{{1,2,3,7},{4},{5,6}}=>[2,3,7,4,6,5,1]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0] [2,3,7,5,1,4,6]=>{{1,2,3,7},{4,5},{6}}=>[2,3,7,5,4,6,1]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0] [2,3,7,5,1,6,4]=>{{1,2,3,7},{4,5},{6}}=>[2,3,7,5,4,6,1]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0] [2,3,7,5,4,1,6]=>{{1,2,3,7},{4,5},{6}}=>[2,3,7,5,4,6,1]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0] [2,3,7,5,4,6,1]=>{{1,2,3,7},{4,5},{6}}=>[2,3,7,5,4,6,1]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0] [2,3,7,5,6,1,4]=>{{1,2,3,7},{4,5,6}}=>[2,3,7,5,6,4,1]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0] [2,3,7,5,6,4,1]=>{{1,2,3,7},{4,5,6}}=>[2,3,7,5,6,4,1]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0] [2,3,7,6,1,4,5]=>{{1,2,3,7},{4,6},{5}}=>[2,3,7,6,5,4,1]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0] [2,3,7,6,1,5,4]=>{{1,2,3,7},{4,6},{5}}=>[2,3,7,6,5,4,1]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0] [2,3,7,6,4,1,5]=>{{1,2,3,7},{4,6},{5}}=>[2,3,7,6,5,4,1]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0] [2,3,7,6,4,5,1]=>{{1,2,3,7},{4,6},{5}}=>[2,3,7,6,5,4,1]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0] [2,3,7,6,5,1,4]=>{{1,2,3,7},{4,6},{5}}=>[2,3,7,6,5,4,1]=>[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},{4,6},{5}}=>[2,3,7,6,5,4,1]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0] [2,4,1,3,5,6,7]=>{{1,2,4},{3},{5},{6},{7}}=>[2,4,3,1,5,6,7]=>[1,1,0,1,1,0,0,0,1,0,1,0,1,0] [2,4,1,3,5,7,6]=>{{1,2,4},{3},{5},{6,7}}=>[2,4,3,1,5,7,6]=>[1,1,0,1,1,0,0,0,1,0,1,1,0,0] [2,4,1,3,6,5,7]=>{{1,2,4},{3},{5,6},{7}}=>[2,4,3,1,6,5,7]=>[1,1,0,1,1,0,0,0,1,1,0,0,1,0] [2,4,1,3,6,7,5]=>{{1,2,4},{3},{5,6,7}}=>[2,4,3,1,6,7,5]=>[1,1,0,1,1,0,0,0,1,1,0,1,0,0] [2,4,1,3,7,5,6]=>{{1,2,4},{3},{5,7},{6}}=>[2,4,3,1,7,6,5]=>[1,1,0,1,1,0,0,0,1,1,1,0,0,0] [2,4,1,3,7,6,5]=>{{1,2,4},{3},{5,7},{6}}=>[2,4,3,1,7,6,5]=>[1,1,0,1,1,0,0,0,1,1,1,0,0,0] [2,4,1,5,3,6,7]=>{{1,2,4,5},{3},{6},{7}}=>[2,4,3,5,1,6,7]=>[1,1,0,1,1,0,0,1,0,0,1,0,1,0] [2,4,1,5,3,7,6]=>{{1,2,4,5},{3},{6,7}}=>[2,4,3,5,1,7,6]=>[1,1,0,1,1,0,0,1,0,0,1,1,0,0] [2,4,1,5,6,3,7]=>{{1,2,4,5,6},{3},{7}}=>[2,4,3,5,6,1,7]=>[1,1,0,1,1,0,0,1,0,1,0,0,1,0] [2,4,1,5,6,7,3]=>{{1,2,4,5,6,7},{3}}=>[2,4,3,5,6,7,1]=>[1,1,0,1,1,0,0,1,0,1,0,1,0,0] [2,4,1,5,7,3,6]=>{{1,2,4,5,7},{3},{6}}=>[2,4,3,5,7,6,1]=>[1,1,0,1,1,0,0,1,0,1,1,0,0,0] [2,4,1,5,7,6,3]=>{{1,2,4,5,7},{3},{6}}=>[2,4,3,5,7,6,1]=>[1,1,0,1,1,0,0,1,0,1,1,0,0,0] [2,4,1,6,3,5,7]=>{{1,2,4,6},{3},{5},{7}}=>[2,4,3,6,5,1,7]=>[1,1,0,1,1,0,0,1,1,0,0,0,1,0] [2,4,1,6,3,7,5]=>{{1,2,4,6,7},{3},{5}}=>[2,4,3,6,5,7,1]=>[1,1,0,1,1,0,0,1,1,0,0,1,0,0] [2,4,1,6,5,3,7]=>{{1,2,4,6},{3},{5},{7}}=>[2,4,3,6,5,1,7]=>[1,1,0,1,1,0,0,1,1,0,0,0,1,0] [2,4,1,6,5,7,3]=>{{1,2,4,6,7},{3},{5}}=>[2,4,3,6,5,7,1]=>[1,1,0,1,1,0,0,1,1,0,0,1,0,0] [2,4,1,6,7,3,5]=>{{1,2,4,6},{3},{5,7}}=>[2,4,3,6,7,1,5]=>[1,1,0,1,1,0,0,1,1,0,1,0,0,0] [2,4,1,6,7,5,3]=>{{1,2,4,6},{3},{5,7}}=>[2,4,3,6,7,1,5]=>[1,1,0,1,1,0,0,1,1,0,1,0,0,0] [2,4,1,7,3,5,6]=>{{1,2,4,7},{3},{5},{6}}=>[2,4,3,7,5,6,1]=>[1,1,0,1,1,0,0,1,1,1,0,0,0,0] [2,4,1,7,3,6,5]=>{{1,2,4,7},{3},{5},{6}}=>[2,4,3,7,5,6,1]=>[1,1,0,1,1,0,0,1,1,1,0,0,0,0] [2,4,1,7,5,3,6]=>{{1,2,4,7},{3},{5},{6}}=>[2,4,3,7,5,6,1]=>[1,1,0,1,1,0,0,1,1,1,0,0,0,0] [2,4,1,7,5,6,3]=>{{1,2,4,7},{3},{5},{6}}=>[2,4,3,7,5,6,1]=>[1,1,0,1,1,0,0,1,1,1,0,0,0,0] [2,4,1,7,6,3,5]=>{{1,2,4,7},{3},{5,6}}=>[2,4,3,7,6,5,1]=>[1,1,0,1,1,0,0,1,1,1,0,0,0,0] [2,4,1,7,6,5,3]=>{{1,2,4,7},{3},{5,6}}=>[2,4,3,7,6,5,1]=>[1,1,0,1,1,0,0,1,1,1,0,0,0,0] [2,4,3,1,5,6,7]=>{{1,2,4},{3},{5},{6},{7}}=>[2,4,3,1,5,6,7]=>[1,1,0,1,1,0,0,0,1,0,1,0,1,0] [2,4,3,1,5,7,6]=>{{1,2,4},{3},{5},{6,7}}=>[2,4,3,1,5,7,6]=>[1,1,0,1,1,0,0,0,1,0,1,1,0,0] [2,4,3,1,6,5,7]=>{{1,2,4},{3},{5,6},{7}}=>[2,4,3,1,6,5,7]=>[1,1,0,1,1,0,0,0,1,1,0,0,1,0] [2,4,3,1,6,7,5]=>{{1,2,4},{3},{5,6,7}}=>[2,4,3,1,6,7,5]=>[1,1,0,1,1,0,0,0,1,1,0,1,0,0] [2,4,3,1,7,5,6]=>{{1,2,4},{3},{5,7},{6}}=>[2,4,3,1,7,6,5]=>[1,1,0,1,1,0,0,0,1,1,1,0,0,0] [2,4,3,1,7,6,5]=>{{1,2,4},{3},{5,7},{6}}=>[2,4,3,1,7,6,5]=>[1,1,0,1,1,0,0,0,1,1,1,0,0,0] [2,4,3,5,1,6,7]=>{{1,2,4,5},{3},{6},{7}}=>[2,4,3,5,1,6,7]=>[1,1,0,1,1,0,0,1,0,0,1,0,1,0] [2,4,3,5,1,7,6]=>{{1,2,4,5},{3},{6,7}}=>[2,4,3,5,1,7,6]=>[1,1,0,1,1,0,0,1,0,0,1,1,0,0] [2,4,3,5,6,1,7]=>{{1,2,4,5,6},{3},{7}}=>[2,4,3,5,6,1,7]=>[1,1,0,1,1,0,0,1,0,1,0,0,1,0] [2,4,3,5,6,7,1]=>{{1,2,4,5,6,7},{3}}=>[2,4,3,5,6,7,1]=>[1,1,0,1,1,0,0,1,0,1,0,1,0,0] [2,4,3,5,7,1,6]=>{{1,2,4,5,7},{3},{6}}=>[2,4,3,5,7,6,1]=>[1,1,0,1,1,0,0,1,0,1,1,0,0,0] [2,4,3,5,7,6,1]=>{{1,2,4,5,7},{3},{6}}=>[2,4,3,5,7,6,1]=>[1,1,0,1,1,0,0,1,0,1,1,0,0,0] [2,4,3,6,1,5,7]=>{{1,2,4,6},{3},{5},{7}}=>[2,4,3,6,5,1,7]=>[1,1,0,1,1,0,0,1,1,0,0,0,1,0] [2,4,3,6,1,7,5]=>{{1,2,4,6,7},{3},{5}}=>[2,4,3,6,5,7,1]=>[1,1,0,1,1,0,0,1,1,0,0,1,0,0] [2,4,3,6,5,1,7]=>{{1,2,4,6},{3},{5},{7}}=>[2,4,3,6,5,1,7]=>[1,1,0,1,1,0,0,1,1,0,0,0,1,0] [2,4,3,6,5,7,1]=>{{1,2,4,6,7},{3},{5}}=>[2,4,3,6,5,7,1]=>[1,1,0,1,1,0,0,1,1,0,0,1,0,0] [2,4,3,6,7,1,5]=>{{1,2,4,6},{3},{5,7}}=>[2,4,3,6,7,1,5]=>[1,1,0,1,1,0,0,1,1,0,1,0,0,0] [2,4,3,6,7,5,1]=>{{1,2,4,6},{3},{5,7}}=>[2,4,3,6,7,1,5]=>[1,1,0,1,1,0,0,1,1,0,1,0,0,0] [2,4,3,7,1,5,6]=>{{1,2,4,7},{3},{5},{6}}=>[2,4,3,7,5,6,1]=>[1,1,0,1,1,0,0,1,1,1,0,0,0,0] [2,4,3,7,1,6,5]=>{{1,2,4,7},{3},{5},{6}}=>[2,4,3,7,5,6,1]=>[1,1,0,1,1,0,0,1,1,1,0,0,0,0] [2,4,3,7,5,1,6]=>{{1,2,4,7},{3},{5},{6}}=>[2,4,3,7,5,6,1]=>[1,1,0,1,1,0,0,1,1,1,0,0,0,0] [2,4,3,7,5,6,1]=>{{1,2,4,7},{3},{5},{6}}=>[2,4,3,7,5,6,1]=>[1,1,0,1,1,0,0,1,1,1,0,0,0,0] [2,4,3,7,6,1,5]=>{{1,2,4,7},{3},{5,6}}=>[2,4,3,7,6,5,1]=>[1,1,0,1,1,0,0,1,1,1,0,0,0,0] [2,4,3,7,6,5,1]=>{{1,2,4,7},{3},{5,6}}=>[2,4,3,7,6,5,1]=>[1,1,0,1,1,0,0,1,1,1,0,0,0,0] [2,4,5,1,3,6,7]=>{{1,2,4},{3,5},{6},{7}}=>[2,4,5,1,3,6,7]=>[1,1,0,1,1,0,1,0,0,0,1,0,1,0] [2,4,5,1,3,7,6]=>{{1,2,4},{3,5},{6,7}}=>[2,4,5,1,3,7,6]=>[1,1,0,1,1,0,1,0,0,0,1,1,0,0] [2,4,5,1,6,3,7]=>{{1,2,4},{3,5,6},{7}}=>[2,4,5,1,6,3,7]=>[1,1,0,1,1,0,1,0,0,1,0,0,1,0] [2,4,5,1,6,7,3]=>{{1,2,4},{3,5,6,7}}=>[2,4,5,1,6,7,3]=>[1,1,0,1,1,0,1,0,0,1,0,1,0,0] [2,4,5,1,7,3,6]=>{{1,2,4},{3,5,7},{6}}=>[2,4,5,1,7,6,3]=>[1,1,0,1,1,0,1,0,0,1,1,0,0,0] [2,4,5,1,7,6,3]=>{{1,2,4},{3,5,7},{6}}=>[2,4,5,1,7,6,3]=>[1,1,0,1,1,0,1,0,0,1,1,0,0,0] [2,4,5,3,1,6,7]=>{{1,2,4},{3,5},{6},{7}}=>[2,4,5,1,3,6,7]=>[1,1,0,1,1,0,1,0,0,0,1,0,1,0] [2,4,5,3,1,7,6]=>{{1,2,4},{3,5},{6,7}}=>[2,4,5,1,3,7,6]=>[1,1,0,1,1,0,1,0,0,0,1,1,0,0] [2,4,5,3,6,1,7]=>{{1,2,4},{3,5,6},{7}}=>[2,4,5,1,6,3,7]=>[1,1,0,1,1,0,1,0,0,1,0,0,1,0] [2,4,5,3,6,7,1]=>{{1,2,4},{3,5,6,7}}=>[2,4,5,1,6,7,3]=>[1,1,0,1,1,0,1,0,0,1,0,1,0,0] [2,4,5,3,7,1,6]=>{{1,2,4},{3,5,7},{6}}=>[2,4,5,1,7,6,3]=>[1,1,0,1,1,0,1,0,0,1,1,0,0,0] [2,4,5,3,7,6,1]=>{{1,2,4},{3,5,7},{6}}=>[2,4,5,1,7,6,3]=>[1,1,0,1,1,0,1,0,0,1,1,0,0,0] [2,4,5,6,1,3,7]=>{{1,2,4,6},{3,5},{7}}=>[2,4,5,6,3,1,7]=>[1,1,0,1,1,0,1,0,1,0,0,0,1,0] [2,4,5,6,1,7,3]=>{{1,2,4,6,7},{3,5}}=>[2,4,5,6,3,7,1]=>[1,1,0,1,1,0,1,0,1,0,0,1,0,0] [2,4,5,6,3,1,7]=>{{1,2,4,6},{3,5},{7}}=>[2,4,5,6,3,1,7]=>[1,1,0,1,1,0,1,0,1,0,0,0,1,0] [2,4,5,6,3,7,1]=>{{1,2,4,6,7},{3,5}}=>[2,4,5,6,3,7,1]=>[1,1,0,1,1,0,1,0,1,0,0,1,0,0] [2,4,5,6,7,1,3]=>{{1,2,4,6},{3,5,7}}=>[2,4,5,6,7,1,3]=>[1,1,0,1,1,0,1,0,1,0,1,0,0,0] [2,4,5,6,7,3,1]=>{{1,2,4,6},{3,5,7}}=>[2,4,5,6,7,1,3]=>[1,1,0,1,1,0,1,0,1,0,1,0,0,0] [2,4,5,7,1,3,6]=>{{1,2,4,7},{3,5},{6}}=>[2,4,5,7,3,6,1]=>[1,1,0,1,1,0,1,0,1,1,0,0,0,0] [2,4,5,7,1,6,3]=>{{1,2,4,7},{3,5},{6}}=>[2,4,5,7,3,6,1]=>[1,1,0,1,1,0,1,0,1,1,0,0,0,0] [2,4,5,7,3,1,6]=>{{1,2,4,7},{3,5},{6}}=>[2,4,5,7,3,6,1]=>[1,1,0,1,1,0,1,0,1,1,0,0,0,0] [2,4,5,7,3,6,1]=>{{1,2,4,7},{3,5},{6}}=>[2,4,5,7,3,6,1]=>[1,1,0,1,1,0,1,0,1,1,0,0,0,0] [2,4,5,7,6,1,3]=>{{1,2,4,7},{3,5,6}}=>[2,4,5,7,6,3,1]=>[1,1,0,1,1,0,1,0,1,1,0,0,0,0] [2,4,5,7,6,3,1]=>{{1,2,4,7},{3,5,6}}=>[2,4,5,7,6,3,1]=>[1,1,0,1,1,0,1,0,1,1,0,0,0,0] [2,4,6,1,3,5,7]=>{{1,2,4},{3,6},{5},{7}}=>[2,4,6,1,5,3,7]=>[1,1,0,1,1,0,1,1,0,0,0,0,1,0] [2,4,6,1,3,7,5]=>{{1,2,4},{3,6,7},{5}}=>[2,4,6,1,5,7,3]=>[1,1,0,1,1,0,1,1,0,0,0,1,0,0] [2,4,6,1,5,3,7]=>{{1,2,4},{3,6},{5},{7}}=>[2,4,6,1,5,3,7]=>[1,1,0,1,1,0,1,1,0,0,0,0,1,0] [2,4,6,1,5,7,3]=>{{1,2,4},{3,6,7},{5}}=>[2,4,6,1,5,7,3]=>[1,1,0,1,1,0,1,1,0,0,0,1,0,0] [2,4,6,1,7,3,5]=>{{1,2,4},{3,6},{5,7}}=>[2,4,6,1,7,3,5]=>[1,1,0,1,1,0,1,1,0,0,1,0,0,0] [2,4,6,1,7,5,3]=>{{1,2,4},{3,6},{5,7}}=>[2,4,6,1,7,3,5]=>[1,1,0,1,1,0,1,1,0,0,1,0,0,0] [2,4,6,3,1,5,7]=>{{1,2,4},{3,6},{5},{7}}=>[2,4,6,1,5,3,7]=>[1,1,0,1,1,0,1,1,0,0,0,0,1,0] [2,4,6,3,1,7,5]=>{{1,2,4},{3,6,7},{5}}=>[2,4,6,1,5,7,3]=>[1,1,0,1,1,0,1,1,0,0,0,1,0,0] [2,4,6,3,5,1,7]=>{{1,2,4},{3,6},{5},{7}}=>[2,4,6,1,5,3,7]=>[1,1,0,1,1,0,1,1,0,0,0,0,1,0] [2,4,6,3,5,7,1]=>{{1,2,4},{3,6,7},{5}}=>[2,4,6,1,5,7,3]=>[1,1,0,1,1,0,1,1,0,0,0,1,0,0] [2,4,6,3,7,1,5]=>{{1,2,4},{3,6},{5,7}}=>[2,4,6,1,7,3,5]=>[1,1,0,1,1,0,1,1,0,0,1,0,0,0] [2,4,6,3,7,5,1]=>{{1,2,4},{3,6},{5,7}}=>[2,4,6,1,7,3,5]=>[1,1,0,1,1,0,1,1,0,0,1,0,0,0] [2,4,6,5,1,3,7]=>{{1,2,4,5},{3,6},{7}}=>[2,4,6,5,1,3,7]=>[1,1,0,1,1,0,1,1,0,0,0,0,1,0] [2,4,6,5,1,7,3]=>{{1,2,4,5},{3,6,7}}=>[2,4,6,5,1,7,3]=>[1,1,0,1,1,0,1,1,0,0,0,1,0,0] [2,4,6,5,3,1,7]=>{{1,2,4,5},{3,6},{7}}=>[2,4,6,5,1,3,7]=>[1,1,0,1,1,0,1,1,0,0,0,0,1,0] [2,4,6,5,3,7,1]=>{{1,2,4,5},{3,6,7}}=>[2,4,6,5,1,7,3]=>[1,1,0,1,1,0,1,1,0,0,0,1,0,0] [2,4,6,5,7,1,3]=>{{1,2,4,5,7},{3,6}}=>[2,4,6,5,7,3,1]=>[1,1,0,1,1,0,1,1,0,0,1,0,0,0] [2,4,6,5,7,3,1]=>{{1,2,4,5,7},{3,6}}=>[2,4,6,5,7,3,1]=>[1,1,0,1,1,0,1,1,0,0,1,0,0,0] [2,4,6,7,1,3,5]=>{{1,2,4,7},{3,6},{5}}=>[2,4,6,7,5,3,1]=>[1,1,0,1,1,0,1,1,0,1,0,0,0,0] [2,4,6,7,1,5,3]=>{{1,2,4,7},{3,6},{5}}=>[2,4,6,7,5,3,1]=>[1,1,0,1,1,0,1,1,0,1,0,0,0,0] [2,4,6,7,3,1,5]=>{{1,2,4,7},{3,6},{5}}=>[2,4,6,7,5,3,1]=>[1,1,0,1,1,0,1,1,0,1,0,0,0,0] [2,4,6,7,3,5,1]=>{{1,2,4,7},{3,6},{5}}=>[2,4,6,7,5,3,1]=>[1,1,0,1,1,0,1,1,0,1,0,0,0,0] [2,4,6,7,5,1,3]=>{{1,2,4,7},{3,6},{5}}=>[2,4,6,7,5,3,1]=>[1,1,0,1,1,0,1,1,0,1,0,0,0,0] [2,4,6,7,5,3,1]=>{{1,2,4,7},{3,6},{5}}=>[2,4,6,7,5,3,1]=>[1,1,0,1,1,0,1,1,0,1,0,0,0,0] [2,4,7,1,3,5,6]=>{{1,2,4},{3,7},{5},{6}}=>[2,4,7,1,5,6,3]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0] [2,4,7,1,3,6,5]=>{{1,2,4},{3,7},{5},{6}}=>[2,4,7,1,5,6,3]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0] [2,4,7,1,5,3,6]=>{{1,2,4},{3,7},{5},{6}}=>[2,4,7,1,5,6,3]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0] [2,4,7,1,5,6,3]=>{{1,2,4},{3,7},{5},{6}}=>[2,4,7,1,5,6,3]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0] [2,4,7,1,6,3,5]=>{{1,2,4},{3,7},{5,6}}=>[2,4,7,1,6,5,3]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0] [2,4,7,1,6,5,3]=>{{1,2,4},{3,7},{5,6}}=>[2,4,7,1,6,5,3]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0] [2,4,7,3,1,5,6]=>{{1,2,4},{3,7},{5},{6}}=>[2,4,7,1,5,6,3]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0] [2,4,7,3,1,6,5]=>{{1,2,4},{3,7},{5},{6}}=>[2,4,7,1,5,6,3]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0] [2,4,7,3,5,1,6]=>{{1,2,4},{3,7},{5},{6}}=>[2,4,7,1,5,6,3]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0] [2,4,7,3,5,6,1]=>{{1,2,4},{3,7},{5},{6}}=>[2,4,7,1,5,6,3]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0] [2,4,7,3,6,1,5]=>{{1,2,4},{3,7},{5,6}}=>[2,4,7,1,6,5,3]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0] [2,4,7,3,6,5,1]=>{{1,2,4},{3,7},{5,6}}=>[2,4,7,1,6,5,3]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0] [2,4,7,5,1,3,6]=>{{1,2,4,5},{3,7},{6}}=>[2,4,7,5,1,6,3]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0] [2,4,7,5,1,6,3]=>{{1,2,4,5},{3,7},{6}}=>[2,4,7,5,1,6,3]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0] [2,4,7,5,3,1,6]=>{{1,2,4,5},{3,7},{6}}=>[2,4,7,5,1,6,3]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0] [2,4,7,5,3,6,1]=>{{1,2,4,5},{3,7},{6}}=>[2,4,7,5,1,6,3]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0] [2,4,7,5,6,1,3]=>{{1,2,4,5,6},{3,7}}=>[2,4,7,5,6,1,3]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0] [2,4,7,5,6,3,1]=>{{1,2,4,5,6},{3,7}}=>[2,4,7,5,6,1,3]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0] [2,4,7,6,1,3,5]=>{{1,2,4,6},{3,7},{5}}=>[2,4,7,6,5,1,3]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0] [2,4,7,6,1,5,3]=>{{1,2,4,6},{3,7},{5}}=>[2,4,7,6,5,1,3]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0] [2,4,7,6,3,1,5]=>{{1,2,4,6},{3,7},{5}}=>[2,4,7,6,5,1,3]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0] [2,4,7,6,3,5,1]=>{{1,2,4,6},{3,7},{5}}=>[2,4,7,6,5,1,3]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0] [2,4,7,6,5,1,3]=>{{1,2,4,6},{3,7},{5}}=>[2,4,7,6,5,1,3]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0] [2,4,7,6,5,3,1]=>{{1,2,4,6},{3,7},{5}}=>[2,4,7,6,5,1,3]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0] [2,5,1,3,4,6,7]=>{{1,2,5},{3},{4},{6},{7}}=>[2,5,3,4,1,6,7]=>[1,1,0,1,1,1,0,0,0,0,1,0,1,0] [2,5,1,3,4,7,6]=>{{1,2,5},{3},{4},{6,7}}=>[2,5,3,4,1,7,6]=>[1,1,0,1,1,1,0,0,0,0,1,1,0,0] [2,5,1,3,6,4,7]=>{{1,2,5,6},{3},{4},{7}}=>[2,5,3,4,6,1,7]=>[1,1,0,1,1,1,0,0,0,1,0,0,1,0] [2,5,1,3,6,7,4]=>{{1,2,5,6,7},{3},{4}}=>[2,5,3,4,6,7,1]=>[1,1,0,1,1,1,0,0,0,1,0,1,0,0] [2,5,1,3,7,4,6]=>{{1,2,5,7},{3},{4},{6}}=>[2,5,3,4,7,6,1]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0] [2,5,1,3,7,6,4]=>{{1,2,5,7},{3},{4},{6}}=>[2,5,3,4,7,6,1]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0] [2,5,1,4,3,6,7]=>{{1,2,5},{3},{4},{6},{7}}=>[2,5,3,4,1,6,7]=>[1,1,0,1,1,1,0,0,0,0,1,0,1,0] [2,5,1,4,3,7,6]=>{{1,2,5},{3},{4},{6,7}}=>[2,5,3,4,1,7,6]=>[1,1,0,1,1,1,0,0,0,0,1,1,0,0] [2,5,1,4,6,3,7]=>{{1,2,5,6},{3},{4},{7}}=>[2,5,3,4,6,1,7]=>[1,1,0,1,1,1,0,0,0,1,0,0,1,0] [2,5,1,4,6,7,3]=>{{1,2,5,6,7},{3},{4}}=>[2,5,3,4,6,7,1]=>[1,1,0,1,1,1,0,0,0,1,0,1,0,0] [2,5,1,4,7,3,6]=>{{1,2,5,7},{3},{4},{6}}=>[2,5,3,4,7,6,1]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0] [2,5,1,4,7,6,3]=>{{1,2,5,7},{3},{4},{6}}=>[2,5,3,4,7,6,1]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0] [2,5,1,6,3,4,7]=>{{1,2,5},{3},{4,6},{7}}=>[2,5,3,6,1,4,7]=>[1,1,0,1,1,1,0,0,1,0,0,0,1,0] [2,5,1,6,3,7,4]=>{{1,2,5},{3},{4,6,7}}=>[2,5,3,6,1,7,4]=>[1,1,0,1,1,1,0,0,1,0,0,1,0,0] [2,5,1,6,4,3,7]=>{{1,2,5},{3},{4,6},{7}}=>[2,5,3,6,1,4,7]=>[1,1,0,1,1,1,0,0,1,0,0,0,1,0] [2,5,1,6,4,7,3]=>{{1,2,5},{3},{4,6,7}}=>[2,5,3,6,1,7,4]=>[1,1,0,1,1,1,0,0,1,0,0,1,0,0] [2,5,1,6,7,3,4]=>{{1,2,5,7},{3},{4,6}}=>[2,5,3,6,7,4,1]=>[1,1,0,1,1,1,0,0,1,0,1,0,0,0] [2,5,1,6,7,4,3]=>{{1,2,5,7},{3},{4,6}}=>[2,5,3,6,7,4,1]=>[1,1,0,1,1,1,0,0,1,0,1,0,0,0] [2,5,1,7,3,4,6]=>{{1,2,5},{3},{4,7},{6}}=>[2,5,3,7,1,6,4]=>[1,1,0,1,1,1,0,0,1,1,0,0,0,0] [2,5,1,7,3,6,4]=>{{1,2,5},{3},{4,7},{6}}=>[2,5,3,7,1,6,4]=>[1,1,0,1,1,1,0,0,1,1,0,0,0,0] [2,5,1,7,4,3,6]=>{{1,2,5},{3},{4,7},{6}}=>[2,5,3,7,1,6,4]=>[1,1,0,1,1,1,0,0,1,1,0,0,0,0] [2,5,1,7,4,6,3]=>{{1,2,5},{3},{4,7},{6}}=>[2,5,3,7,1,6,4]=>[1,1,0,1,1,1,0,0,1,1,0,0,0,0] [2,5,1,7,6,3,4]=>{{1,2,5,6},{3},{4,7}}=>[2,5,3,7,6,1,4]=>[1,1,0,1,1,1,0,0,1,1,0,0,0,0] [2,5,1,7,6,4,3]=>{{1,2,5,6},{3},{4,7}}=>[2,5,3,7,6,1,4]=>[1,1,0,1,1,1,0,0,1,1,0,0,0,0] [2,5,3,1,4,6,7]=>{{1,2,5},{3},{4},{6},{7}}=>[2,5,3,4,1,6,7]=>[1,1,0,1,1,1,0,0,0,0,1,0,1,0] [2,5,3,1,4,7,6]=>{{1,2,5},{3},{4},{6,7}}=>[2,5,3,4,1,7,6]=>[1,1,0,1,1,1,0,0,0,0,1,1,0,0] [2,5,3,1,6,4,7]=>{{1,2,5,6},{3},{4},{7}}=>[2,5,3,4,6,1,7]=>[1,1,0,1,1,1,0,0,0,1,0,0,1,0] [2,5,3,1,6,7,4]=>{{1,2,5,6,7},{3},{4}}=>[2,5,3,4,6,7,1]=>[1,1,0,1,1,1,0,0,0,1,0,1,0,0] [2,5,3,1,7,4,6]=>{{1,2,5,7},{3},{4},{6}}=>[2,5,3,4,7,6,1]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0] [2,5,3,1,7,6,4]=>{{1,2,5,7},{3},{4},{6}}=>[2,5,3,4,7,6,1]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0] [2,5,3,4,1,6,7]=>{{1,2,5},{3},{4},{6},{7}}=>[2,5,3,4,1,6,7]=>[1,1,0,1,1,1,0,0,0,0,1,0,1,0] [2,5,3,4,1,7,6]=>{{1,2,5},{3},{4},{6,7}}=>[2,5,3,4,1,7,6]=>[1,1,0,1,1,1,0,0,0,0,1,1,0,0] [2,5,3,4,6,1,7]=>{{1,2,5,6},{3},{4},{7}}=>[2,5,3,4,6,1,7]=>[1,1,0,1,1,1,0,0,0,1,0,0,1,0] [2,5,3,4,6,7,1]=>{{1,2,5,6,7},{3},{4}}=>[2,5,3,4,6,7,1]=>[1,1,0,1,1,1,0,0,0,1,0,1,0,0] [2,5,3,4,7,1,6]=>{{1,2,5,7},{3},{4},{6}}=>[2,5,3,4,7,6,1]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0] [2,5,3,4,7,6,1]=>{{1,2,5,7},{3},{4},{6}}=>[2,5,3,4,7,6,1]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0] [2,5,3,6,1,4,7]=>{{1,2,5},{3},{4,6},{7}}=>[2,5,3,6,1,4,7]=>[1,1,0,1,1,1,0,0,1,0,0,0,1,0] [2,5,3,6,1,7,4]=>{{1,2,5},{3},{4,6,7}}=>[2,5,3,6,1,7,4]=>[1,1,0,1,1,1,0,0,1,0,0,1,0,0] [2,5,3,6,4,1,7]=>{{1,2,5},{3},{4,6},{7}}=>[2,5,3,6,1,4,7]=>[1,1,0,1,1,1,0,0,1,0,0,0,1,0] [2,5,3,6,4,7,1]=>{{1,2,5},{3},{4,6,7}}=>[2,5,3,6,1,7,4]=>[1,1,0,1,1,1,0,0,1,0,0,1,0,0] [2,5,3,6,7,1,4]=>{{1,2,5,7},{3},{4,6}}=>[2,5,3,6,7,4,1]=>[1,1,0,1,1,1,0,0,1,0,1,0,0,0] [2,5,3,6,7,4,1]=>{{1,2,5,7},{3},{4,6}}=>[2,5,3,6,7,4,1]=>[1,1,0,1,1,1,0,0,1,0,1,0,0,0] [2,5,3,7,1,4,6]=>{{1,2,5},{3},{4,7},{6}}=>[2,5,3,7,1,6,4]=>[1,1,0,1,1,1,0,0,1,1,0,0,0,0] [2,5,3,7,1,6,4]=>{{1,2,5},{3},{4,7},{6}}=>[2,5,3,7,1,6,4]=>[1,1,0,1,1,1,0,0,1,1,0,0,0,0] [2,5,3,7,4,1,6]=>{{1,2,5},{3},{4,7},{6}}=>[2,5,3,7,1,6,4]=>[1,1,0,1,1,1,0,0,1,1,0,0,0,0] [2,5,3,7,4,6,1]=>{{1,2,5},{3},{4,7},{6}}=>[2,5,3,7,1,6,4]=>[1,1,0,1,1,1,0,0,1,1,0,0,0,0] [2,5,3,7,6,1,4]=>{{1,2,5,6},{3},{4,7}}=>[2,5,3,7,6,1,4]=>[1,1,0,1,1,1,0,0,1,1,0,0,0,0] [2,5,3,7,6,4,1]=>{{1,2,5,6},{3},{4,7}}=>[2,5,3,7,6,1,4]=>[1,1,0,1,1,1,0,0,1,1,0,0,0,0] [2,5,4,1,3,6,7]=>{{1,2,5},{3,4},{6},{7}}=>[2,5,4,3,1,6,7]=>[1,1,0,1,1,1,0,0,0,0,1,0,1,0] [2,5,4,1,3,7,6]=>{{1,2,5},{3,4},{6,7}}=>[2,5,4,3,1,7,6]=>[1,1,0,1,1,1,0,0,0,0,1,1,0,0] [2,5,4,1,6,3,7]=>{{1,2,5,6},{3,4},{7}}=>[2,5,4,3,6,1,7]=>[1,1,0,1,1,1,0,0,0,1,0,0,1,0] [2,5,4,1,6,7,3]=>{{1,2,5,6,7},{3,4}}=>[2,5,4,3,6,7,1]=>[1,1,0,1,1,1,0,0,0,1,0,1,0,0] [2,5,4,1,7,3,6]=>{{1,2,5,7},{3,4},{6}}=>[2,5,4,3,7,6,1]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0] [2,5,4,1,7,6,3]=>{{1,2,5,7},{3,4},{6}}=>[2,5,4,3,7,6,1]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0] [2,5,4,3,1,6,7]=>{{1,2,5},{3,4},{6},{7}}=>[2,5,4,3,1,6,7]=>[1,1,0,1,1,1,0,0,0,0,1,0,1,0] [2,5,4,3,1,7,6]=>{{1,2,5},{3,4},{6,7}}=>[2,5,4,3,1,7,6]=>[1,1,0,1,1,1,0,0,0,0,1,1,0,0] [2,5,4,3,6,1,7]=>{{1,2,5,6},{3,4},{7}}=>[2,5,4,3,6,1,7]=>[1,1,0,1,1,1,0,0,0,1,0,0,1,0] [2,5,4,3,6,7,1]=>{{1,2,5,6,7},{3,4}}=>[2,5,4,3,6,7,1]=>[1,1,0,1,1,1,0,0,0,1,0,1,0,0] [2,5,4,3,7,1,6]=>{{1,2,5,7},{3,4},{6}}=>[2,5,4,3,7,6,1]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0] [2,5,4,3,7,6,1]=>{{1,2,5,7},{3,4},{6}}=>[2,5,4,3,7,6,1]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0] [2,5,4,6,1,3,7]=>{{1,2,5},{3,4,6},{7}}=>[2,5,4,6,1,3,7]=>[1,1,0,1,1,1,0,0,1,0,0,0,1,0] [2,5,4,6,1,7,3]=>{{1,2,5},{3,4,6,7}}=>[2,5,4,6,1,7,3]=>[1,1,0,1,1,1,0,0,1,0,0,1,0,0] [2,5,4,6,3,1,7]=>{{1,2,5},{3,4,6},{7}}=>[2,5,4,6,1,3,7]=>[1,1,0,1,1,1,0,0,1,0,0,0,1,0] [2,5,4,6,3,7,1]=>{{1,2,5},{3,4,6,7}}=>[2,5,4,6,1,7,3]=>[1,1,0,1,1,1,0,0,1,0,0,1,0,0] [2,5,4,6,7,1,3]=>{{1,2,5,7},{3,4,6}}=>[2,5,4,6,7,3,1]=>[1,1,0,1,1,1,0,0,1,0,1,0,0,0] [2,5,4,6,7,3,1]=>{{1,2,5,7},{3,4,6}}=>[2,5,4,6,7,3,1]=>[1,1,0,1,1,1,0,0,1,0,1,0,0,0] [2,5,4,7,1,3,6]=>{{1,2,5},{3,4,7},{6}}=>[2,5,4,7,1,6,3]=>[1,1,0,1,1,1,0,0,1,1,0,0,0,0] [2,5,4,7,1,6,3]=>{{1,2,5},{3,4,7},{6}}=>[2,5,4,7,1,6,3]=>[1,1,0,1,1,1,0,0,1,1,0,0,0,0] [2,5,4,7,3,1,6]=>{{1,2,5},{3,4,7},{6}}=>[2,5,4,7,1,6,3]=>[1,1,0,1,1,1,0,0,1,1,0,0,0,0] [2,5,4,7,3,6,1]=>{{1,2,5},{3,4,7},{6}}=>[2,5,4,7,1,6,3]=>[1,1,0,1,1,1,0,0,1,1,0,0,0,0] [2,5,4,7,6,1,3]=>{{1,2,5,6},{3,4,7}}=>[2,5,4,7,6,1,3]=>[1,1,0,1,1,1,0,0,1,1,0,0,0,0] [2,5,4,7,6,3,1]=>{{1,2,5,6},{3,4,7}}=>[2,5,4,7,6,1,3]=>[1,1,0,1,1,1,0,0,1,1,0,0,0,0] [2,5,6,1,3,4,7]=>{{1,2,5},{3,6},{4},{7}}=>[2,5,6,4,1,3,7]=>[1,1,0,1,1,1,0,1,0,0,0,0,1,0] [2,5,6,1,3,7,4]=>{{1,2,5},{3,6,7},{4}}=>[2,5,6,4,1,7,3]=>[1,1,0,1,1,1,0,1,0,0,0,1,0,0] [2,5,6,1,4,3,7]=>{{1,2,5},{3,6},{4},{7}}=>[2,5,6,4,1,3,7]=>[1,1,0,1,1,1,0,1,0,0,0,0,1,0] [2,5,6,1,4,7,3]=>{{1,2,5},{3,6,7},{4}}=>[2,5,6,4,1,7,3]=>[1,1,0,1,1,1,0,1,0,0,0,1,0,0] [2,5,6,1,7,3,4]=>{{1,2,5,7},{3,6},{4}}=>[2,5,6,4,7,3,1]=>[1,1,0,1,1,1,0,1,0,0,1,0,0,0] [2,5,6,1,7,4,3]=>{{1,2,5,7},{3,6},{4}}=>[2,5,6,4,7,3,1]=>[1,1,0,1,1,1,0,1,0,0,1,0,0,0] [2,5,6,3,1,4,7]=>{{1,2,5},{3,6},{4},{7}}=>[2,5,6,4,1,3,7]=>[1,1,0,1,1,1,0,1,0,0,0,0,1,0] [2,5,6,3,1,7,4]=>{{1,2,5},{3,6,7},{4}}=>[2,5,6,4,1,7,3]=>[1,1,0,1,1,1,0,1,0,0,0,1,0,0] [2,5,6,3,4,1,7]=>{{1,2,5},{3,6},{4},{7}}=>[2,5,6,4,1,3,7]=>[1,1,0,1,1,1,0,1,0,0,0,0,1,0] [2,5,6,3,4,7,1]=>{{1,2,5},{3,6,7},{4}}=>[2,5,6,4,1,7,3]=>[1,1,0,1,1,1,0,1,0,0,0,1,0,0] [2,5,6,3,7,1,4]=>{{1,2,5,7},{3,6},{4}}=>[2,5,6,4,7,3,1]=>[1,1,0,1,1,1,0,1,0,0,1,0,0,0] [2,5,6,3,7,4,1]=>{{1,2,5,7},{3,6},{4}}=>[2,5,6,4,7,3,1]=>[1,1,0,1,1,1,0,1,0,0,1,0,0,0] [2,5,6,4,1,3,7]=>{{1,2,5},{3,6},{4},{7}}=>[2,5,6,4,1,3,7]=>[1,1,0,1,1,1,0,1,0,0,0,0,1,0] [2,5,6,4,1,7,3]=>{{1,2,5},{3,6,7},{4}}=>[2,5,6,4,1,7,3]=>[1,1,0,1,1,1,0,1,0,0,0,1,0,0] [2,5,6,4,3,1,7]=>{{1,2,5},{3,6},{4},{7}}=>[2,5,6,4,1,3,7]=>[1,1,0,1,1,1,0,1,0,0,0,0,1,0] [2,5,6,4,3,7,1]=>{{1,2,5},{3,6,7},{4}}=>[2,5,6,4,1,7,3]=>[1,1,0,1,1,1,0,1,0,0,0,1,0,0] [2,5,6,4,7,1,3]=>{{1,2,5,7},{3,6},{4}}=>[2,5,6,4,7,3,1]=>[1,1,0,1,1,1,0,1,0,0,1,0,0,0] [2,5,6,4,7,3,1]=>{{1,2,5,7},{3,6},{4}}=>[2,5,6,4,7,3,1]=>[1,1,0,1,1,1,0,1,0,0,1,0,0,0] [2,5,6,7,1,3,4]=>{{1,2,5},{3,6},{4,7}}=>[2,5,6,7,1,3,4]=>[1,1,0,1,1,1,0,1,0,1,0,0,0,0] [2,5,6,7,1,4,3]=>{{1,2,5},{3,6},{4,7}}=>[2,5,6,7,1,3,4]=>[1,1,0,1,1,1,0,1,0,1,0,0,0,0] [2,5,6,7,3,1,4]=>{{1,2,5},{3,6},{4,7}}=>[2,5,6,7,1,3,4]=>[1,1,0,1,1,1,0,1,0,1,0,0,0,0] [2,5,6,7,3,4,1]=>{{1,2,5},{3,6},{4,7}}=>[2,5,6,7,1,3,4]=>[1,1,0,1,1,1,0,1,0,1,0,0,0,0] [2,5,6,7,4,1,3]=>{{1,2,5},{3,6},{4,7}}=>[2,5,6,7,1,3,4]=>[1,1,0,1,1,1,0,1,0,1,0,0,0,0] [2,5,6,7,4,3,1]=>{{1,2,5},{3,6},{4,7}}=>[2,5,6,7,1,3,4]=>[1,1,0,1,1,1,0,1,0,1,0,0,0,0] [2,5,7,1,3,4,6]=>{{1,2,5},{3,7},{4},{6}}=>[2,5,7,4,1,6,3]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0] [2,5,7,1,3,6,4]=>{{1,2,5},{3,7},{4},{6}}=>[2,5,7,4,1,6,3]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0] [2,5,7,1,4,3,6]=>{{1,2,5},{3,7},{4},{6}}=>[2,5,7,4,1,6,3]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0] [2,5,7,1,4,6,3]=>{{1,2,5},{3,7},{4},{6}}=>[2,5,7,4,1,6,3]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0] [2,5,7,1,6,3,4]=>{{1,2,5,6},{3,7},{4}}=>[2,5,7,4,6,1,3]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0] [2,5,7,1,6,4,3]=>{{1,2,5,6},{3,7},{4}}=>[2,5,7,4,6,1,3]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0] [2,5,7,3,1,4,6]=>{{1,2,5},{3,7},{4},{6}}=>[2,5,7,4,1,6,3]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0] [2,5,7,3,1,6,4]=>{{1,2,5},{3,7},{4},{6}}=>[2,5,7,4,1,6,3]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0] [2,5,7,3,4,1,6]=>{{1,2,5},{3,7},{4},{6}}=>[2,5,7,4,1,6,3]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0] [2,5,7,3,4,6,1]=>{{1,2,5},{3,7},{4},{6}}=>[2,5,7,4,1,6,3]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0] [2,5,7,3,6,1,4]=>{{1,2,5,6},{3,7},{4}}=>[2,5,7,4,6,1,3]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0] [2,5,7,3,6,4,1]=>{{1,2,5,6},{3,7},{4}}=>[2,5,7,4,6,1,3]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0] [2,5,7,4,1,3,6]=>{{1,2,5},{3,7},{4},{6}}=>[2,5,7,4,1,6,3]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0] [2,5,7,4,1,6,3]=>{{1,2,5},{3,7},{4},{6}}=>[2,5,7,4,1,6,3]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0] [2,5,7,4,3,1,6]=>{{1,2,5},{3,7},{4},{6}}=>[2,5,7,4,1,6,3]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0] [2,5,7,4,3,6,1]=>{{1,2,5},{3,7},{4},{6}}=>[2,5,7,4,1,6,3]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0] [2,5,7,4,6,1,3]=>{{1,2,5,6},{3,7},{4}}=>[2,5,7,4,6,1,3]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0] [2,5,7,4,6,3,1]=>{{1,2,5,6},{3,7},{4}}=>[2,5,7,4,6,1,3]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0] [2,5,7,6,1,3,4]=>{{1,2,5},{3,7},{4,6}}=>[2,5,7,6,1,4,3]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0] [2,5,7,6,1,4,3]=>{{1,2,5},{3,7},{4,6}}=>[2,5,7,6,1,4,3]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0] [2,5,7,6,3,1,4]=>{{1,2,5},{3,7},{4,6}}=>[2,5,7,6,1,4,3]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0] [2,5,7,6,3,4,1]=>{{1,2,5},{3,7},{4,6}}=>[2,5,7,6,1,4,3]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0] [2,5,7,6,4,1,3]=>{{1,2,5},{3,7},{4,6}}=>[2,5,7,6,1,4,3]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0] [2,5,7,6,4,3,1]=>{{1,2,5},{3,7},{4,6}}=>[2,5,7,6,1,4,3]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0] [2,6,1,3,4,5,7]=>{{1,2,6},{3},{4},{5},{7}}=>[2,6,3,4,5,1,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0] [2,6,1,3,4,7,5]=>{{1,2,6,7},{3},{4},{5}}=>[2,6,3,4,5,7,1]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0] [2,6,1,3,5,4,7]=>{{1,2,6},{3},{4},{5},{7}}=>[2,6,3,4,5,1,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0] [2,6,1,3,5,7,4]=>{{1,2,6,7},{3},{4},{5}}=>[2,6,3,4,5,7,1]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0] [2,6,1,3,7,4,5]=>{{1,2,6},{3},{4},{5,7}}=>[2,6,3,4,7,1,5]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0] [2,6,1,3,7,5,4]=>{{1,2,6},{3},{4},{5,7}}=>[2,6,3,4,7,1,5]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0] [2,6,1,4,3,5,7]=>{{1,2,6},{3},{4},{5},{7}}=>[2,6,3,4,5,1,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0] [2,6,1,4,3,7,5]=>{{1,2,6,7},{3},{4},{5}}=>[2,6,3,4,5,7,1]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0] [2,6,1,4,5,3,7]=>{{1,2,6},{3},{4},{5},{7}}=>[2,6,3,4,5,1,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0] [2,6,1,4,5,7,3]=>{{1,2,6,7},{3},{4},{5}}=>[2,6,3,4,5,7,1]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0] [2,6,1,4,7,3,5]=>{{1,2,6},{3},{4},{5,7}}=>[2,6,3,4,7,1,5]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0] [2,6,1,4,7,5,3]=>{{1,2,6},{3},{4},{5,7}}=>[2,6,3,4,7,1,5]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0] [2,6,1,5,3,4,7]=>{{1,2,6},{3},{4,5},{7}}=>[2,6,3,5,4,1,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0] [2,6,1,5,3,7,4]=>{{1,2,6,7},{3},{4,5}}=>[2,6,3,5,4,7,1]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0] [2,6,1,5,4,3,7]=>{{1,2,6},{3},{4,5},{7}}=>[2,6,3,5,4,1,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0] [2,6,1,5,4,7,3]=>{{1,2,6,7},{3},{4,5}}=>[2,6,3,5,4,7,1]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0] [2,6,1,5,7,3,4]=>{{1,2,6},{3},{4,5,7}}=>[2,6,3,5,7,1,4]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0] [2,6,1,5,7,4,3]=>{{1,2,6},{3},{4,5,7}}=>[2,6,3,5,7,1,4]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0] [2,6,1,7,3,4,5]=>{{1,2,6},{3},{4,7},{5}}=>[2,6,3,7,5,1,4]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0] [2,6,1,7,3,5,4]=>{{1,2,6},{3},{4,7},{5}}=>[2,6,3,7,5,1,4]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0] [2,6,1,7,4,3,5]=>{{1,2,6},{3},{4,7},{5}}=>[2,6,3,7,5,1,4]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0] [2,6,1,7,4,5,3]=>{{1,2,6},{3},{4,7},{5}}=>[2,6,3,7,5,1,4]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0] [2,6,1,7,5,3,4]=>{{1,2,6},{3},{4,7},{5}}=>[2,6,3,7,5,1,4]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0] [2,6,1,7,5,4,3]=>{{1,2,6},{3},{4,7},{5}}=>[2,6,3,7,5,1,4]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0] [2,6,3,1,4,5,7]=>{{1,2,6},{3},{4},{5},{7}}=>[2,6,3,4,5,1,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0] [2,6,3,1,4,7,5]=>{{1,2,6,7},{3},{4},{5}}=>[2,6,3,4,5,7,1]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0] [2,6,3,1,5,4,7]=>{{1,2,6},{3},{4},{5},{7}}=>[2,6,3,4,5,1,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0] [2,6,3,1,5,7,4]=>{{1,2,6,7},{3},{4},{5}}=>[2,6,3,4,5,7,1]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0] [2,6,3,1,7,4,5]=>{{1,2,6},{3},{4},{5,7}}=>[2,6,3,4,7,1,5]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0] [2,6,3,1,7,5,4]=>{{1,2,6},{3},{4},{5,7}}=>[2,6,3,4,7,1,5]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0] [2,6,3,4,1,5,7]=>{{1,2,6},{3},{4},{5},{7}}=>[2,6,3,4,5,1,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0] [2,6,3,4,1,7,5]=>{{1,2,6,7},{3},{4},{5}}=>[2,6,3,4,5,7,1]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0] [2,6,3,4,5,1,7]=>{{1,2,6},{3},{4},{5},{7}}=>[2,6,3,4,5,1,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0] [2,6,3,4,5,7,1]=>{{1,2,6,7},{3},{4},{5}}=>[2,6,3,4,5,7,1]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0] [2,6,3,4,7,1,5]=>{{1,2,6},{3},{4},{5,7}}=>[2,6,3,4,7,1,5]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0] [2,6,3,4,7,5,1]=>{{1,2,6},{3},{4},{5,7}}=>[2,6,3,4,7,1,5]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0] [2,6,3,5,1,4,7]=>{{1,2,6},{3},{4,5},{7}}=>[2,6,3,5,4,1,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0] [2,6,3,5,1,7,4]=>{{1,2,6,7},{3},{4,5}}=>[2,6,3,5,4,7,1]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0] [2,6,3,5,4,1,7]=>{{1,2,6},{3},{4,5},{7}}=>[2,6,3,5,4,1,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0] [2,6,3,5,4,7,1]=>{{1,2,6,7},{3},{4,5}}=>[2,6,3,5,4,7,1]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0] [2,6,3,5,7,1,4]=>{{1,2,6},{3},{4,5,7}}=>[2,6,3,5,7,1,4]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0] [2,6,3,5,7,4,1]=>{{1,2,6},{3},{4,5,7}}=>[2,6,3,5,7,1,4]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0] [2,6,3,7,1,4,5]=>{{1,2,6},{3},{4,7},{5}}=>[2,6,3,7,5,1,4]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0] [2,6,3,7,1,5,4]=>{{1,2,6},{3},{4,7},{5}}=>[2,6,3,7,5,1,4]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0] [2,6,3,7,4,1,5]=>{{1,2,6},{3},{4,7},{5}}=>[2,6,3,7,5,1,4]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0] [2,6,3,7,4,5,1]=>{{1,2,6},{3},{4,7},{5}}=>[2,6,3,7,5,1,4]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0] [2,6,3,7,5,1,4]=>{{1,2,6},{3},{4,7},{5}}=>[2,6,3,7,5,1,4]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0] [2,6,3,7,5,4,1]=>{{1,2,6},{3},{4,7},{5}}=>[2,6,3,7,5,1,4]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0] [2,6,4,1,3,5,7]=>{{1,2,6},{3,4},{5},{7}}=>[2,6,4,3,5,1,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0] [2,6,4,1,3,7,5]=>{{1,2,6,7},{3,4},{5}}=>[2,6,4,3,5,7,1]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0] [2,6,4,1,5,3,7]=>{{1,2,6},{3,4},{5},{7}}=>[2,6,4,3,5,1,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0] [2,6,4,1,5,7,3]=>{{1,2,6,7},{3,4},{5}}=>[2,6,4,3,5,7,1]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0] [2,6,4,1,7,3,5]=>{{1,2,6},{3,4},{5,7}}=>[2,6,4,3,7,1,5]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0] [2,6,4,1,7,5,3]=>{{1,2,6},{3,4},{5,7}}=>[2,6,4,3,7,1,5]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0] [2,6,4,3,1,5,7]=>{{1,2,6},{3,4},{5},{7}}=>[2,6,4,3,5,1,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0] [2,6,4,3,1,7,5]=>{{1,2,6,7},{3,4},{5}}=>[2,6,4,3,5,7,1]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0] [2,6,4,3,5,1,7]=>{{1,2,6},{3,4},{5},{7}}=>[2,6,4,3,5,1,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0] [2,6,4,3,5,7,1]=>{{1,2,6,7},{3,4},{5}}=>[2,6,4,3,5,7,1]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0] [2,6,4,3,7,1,5]=>{{1,2,6},{3,4},{5,7}}=>[2,6,4,3,7,1,5]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0] [2,6,4,3,7,5,1]=>{{1,2,6},{3,4},{5,7}}=>[2,6,4,3,7,1,5]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0] [2,6,4,5,1,3,7]=>{{1,2,6},{3,4,5},{7}}=>[2,6,4,5,3,1,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0] [2,6,4,5,1,7,3]=>{{1,2,6,7},{3,4,5}}=>[2,6,4,5,3,7,1]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0] [2,6,4,5,3,1,7]=>{{1,2,6},{3,4,5},{7}}=>[2,6,4,5,3,1,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0] [2,6,4,5,3,7,1]=>{{1,2,6,7},{3,4,5}}=>[2,6,4,5,3,7,1]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0] [2,6,4,5,7,1,3]=>{{1,2,6},{3,4,5,7}}=>[2,6,4,5,7,1,3]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0] [2,6,4,5,7,3,1]=>{{1,2,6},{3,4,5,7}}=>[2,6,4,5,7,1,3]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0] [2,6,4,7,1,3,5]=>{{1,2,6},{3,4,7},{5}}=>[2,6,4,7,5,1,3]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0] [2,6,4,7,1,5,3]=>{{1,2,6},{3,4,7},{5}}=>[2,6,4,7,5,1,3]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0] [2,6,4,7,3,1,5]=>{{1,2,6},{3,4,7},{5}}=>[2,6,4,7,5,1,3]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0] [2,6,4,7,3,5,1]=>{{1,2,6},{3,4,7},{5}}=>[2,6,4,7,5,1,3]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0] [2,6,4,7,5,1,3]=>{{1,2,6},{3,4,7},{5}}=>[2,6,4,7,5,1,3]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0] [2,6,4,7,5,3,1]=>{{1,2,6},{3,4,7},{5}}=>[2,6,4,7,5,1,3]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0] [2,6,5,1,3,4,7]=>{{1,2,6},{3,5},{4},{7}}=>[2,6,5,4,3,1,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0] [2,6,5,1,3,7,4]=>{{1,2,6,7},{3,5},{4}}=>[2,6,5,4,3,7,1]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0] [2,6,5,1,4,3,7]=>{{1,2,6},{3,5},{4},{7}}=>[2,6,5,4,3,1,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0] [2,6,5,1,4,7,3]=>{{1,2,6,7},{3,5},{4}}=>[2,6,5,4,3,7,1]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0] [2,6,5,1,7,3,4]=>{{1,2,6},{3,5,7},{4}}=>[2,6,5,4,7,1,3]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0] [2,6,5,1,7,4,3]=>{{1,2,6},{3,5,7},{4}}=>[2,6,5,4,7,1,3]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0] [2,6,5,3,1,4,7]=>{{1,2,6},{3,5},{4},{7}}=>[2,6,5,4,3,1,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0] [2,6,5,3,1,7,4]=>{{1,2,6,7},{3,5},{4}}=>[2,6,5,4,3,7,1]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0] [2,6,5,3,4,1,7]=>{{1,2,6},{3,5},{4},{7}}=>[2,6,5,4,3,1,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0] [2,6,5,3,4,7,1]=>{{1,2,6,7},{3,5},{4}}=>[2,6,5,4,3,7,1]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0] [2,6,5,3,7,1,4]=>{{1,2,6},{3,5,7},{4}}=>[2,6,5,4,7,1,3]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0] [2,6,5,3,7,4,1]=>{{1,2,6},{3,5,7},{4}}=>[2,6,5,4,7,1,3]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0] [2,6,5,4,1,3,7]=>{{1,2,6},{3,5},{4},{7}}=>[2,6,5,4,3,1,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0] [2,6,5,4,1,7,3]=>{{1,2,6,7},{3,5},{4}}=>[2,6,5,4,3,7,1]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0] [2,6,5,4,3,1,7]=>{{1,2,6},{3,5},{4},{7}}=>[2,6,5,4,3,1,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0] [2,6,5,4,3,7,1]=>{{1,2,6,7},{3,5},{4}}=>[2,6,5,4,3,7,1]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0] [2,6,5,4,7,1,3]=>{{1,2,6},{3,5,7},{4}}=>[2,6,5,4,7,1,3]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0] [2,6,5,4,7,3,1]=>{{1,2,6},{3,5,7},{4}}=>[2,6,5,4,7,1,3]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0] [2,6,5,7,1,3,4]=>{{1,2,6},{3,5},{4,7}}=>[2,6,5,7,3,1,4]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0] [2,6,5,7,1,4,3]=>{{1,2,6},{3,5},{4,7}}=>[2,6,5,7,3,1,4]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0] [2,6,5,7,3,1,4]=>{{1,2,6},{3,5},{4,7}}=>[2,6,5,7,3,1,4]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0] [2,6,5,7,3,4,1]=>{{1,2,6},{3,5},{4,7}}=>[2,6,5,7,3,1,4]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0] [2,6,5,7,4,1,3]=>{{1,2,6},{3,5},{4,7}}=>[2,6,5,7,3,1,4]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0] [2,6,5,7,4,3,1]=>{{1,2,6},{3,5},{4,7}}=>[2,6,5,7,3,1,4]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0] [2,6,7,1,3,4,5]=>{{1,2,6},{3,7},{4},{5}}=>[2,6,7,4,5,1,3]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0] [2,6,7,1,3,5,4]=>{{1,2,6},{3,7},{4},{5}}=>[2,6,7,4,5,1,3]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0] [2,6,7,1,4,3,5]=>{{1,2,6},{3,7},{4},{5}}=>[2,6,7,4,5,1,3]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0] [2,6,7,1,4,5,3]=>{{1,2,6},{3,7},{4},{5}}=>[2,6,7,4,5,1,3]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0] [2,6,7,1,5,3,4]=>{{1,2,6},{3,7},{4},{5}}=>[2,6,7,4,5,1,3]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0] [2,6,7,1,5,4,3]=>{{1,2,6},{3,7},{4},{5}}=>[2,6,7,4,5,1,3]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0] [2,6,7,3,1,4,5]=>{{1,2,6},{3,7},{4},{5}}=>[2,6,7,4,5,1,3]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0] [2,6,7,3,1,5,4]=>{{1,2,6},{3,7},{4},{5}}=>[2,6,7,4,5,1,3]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0] [2,6,7,3,4,1,5]=>{{1,2,6},{3,7},{4},{5}}=>[2,6,7,4,5,1,3]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0] [2,6,7,3,4,5,1]=>{{1,2,6},{3,7},{4},{5}}=>[2,6,7,4,5,1,3]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0] [2,6,7,3,5,1,4]=>{{1,2,6},{3,7},{4},{5}}=>[2,6,7,4,5,1,3]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0] [2,6,7,3,5,4,1]=>{{1,2,6},{3,7},{4},{5}}=>[2,6,7,4,5,1,3]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0] [2,6,7,4,1,3,5]=>{{1,2,6},{3,7},{4},{5}}=>[2,6,7,4,5,1,3]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0] [2,6,7,4,1,5,3]=>{{1,2,6},{3,7},{4},{5}}=>[2,6,7,4,5,1,3]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0] [2,6,7,4,3,1,5]=>{{1,2,6},{3,7},{4},{5}}=>[2,6,7,4,5,1,3]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0] [2,6,7,4,3,5,1]=>{{1,2,6},{3,7},{4},{5}}=>[2,6,7,4,5,1,3]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0] [2,6,7,4,5,1,3]=>{{1,2,6},{3,7},{4},{5}}=>[2,6,7,4,5,1,3]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0] [2,6,7,4,5,3,1]=>{{1,2,6},{3,7},{4},{5}}=>[2,6,7,4,5,1,3]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0] [2,6,7,5,1,3,4]=>{{1,2,6},{3,7},{4,5}}=>[2,6,7,5,4,1,3]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0] [2,6,7,5,1,4,3]=>{{1,2,6},{3,7},{4,5}}=>[2,6,7,5,4,1,3]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0] [2,6,7,5,3,1,4]=>{{1,2,6},{3,7},{4,5}}=>[2,6,7,5,4,1,3]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0] [2,6,7,5,3,4,1]=>{{1,2,6},{3,7},{4,5}}=>[2,6,7,5,4,1,3]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0] [2,6,7,5,4,1,3]=>{{1,2,6},{3,7},{4,5}}=>[2,6,7,5,4,1,3]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0] [2,6,7,5,4,3,1]=>{{1,2,6},{3,7},{4,5}}=>[2,6,7,5,4,1,3]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0] [2,7,1,3,4,5,6]=>{{1,2,7},{3},{4},{5},{6}}=>[2,7,3,4,5,6,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0] [2,7,1,3,4,6,5]=>{{1,2,7},{3},{4},{5},{6}}=>[2,7,3,4,5,6,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0] [2,7,1,3,5,4,6]=>{{1,2,7},{3},{4},{5},{6}}=>[2,7,3,4,5,6,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0] [2,7,1,3,5,6,4]=>{{1,2,7},{3},{4},{5},{6}}=>[2,7,3,4,5,6,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0] [2,7,1,3,6,4,5]=>{{1,2,7},{3},{4},{5,6}}=>[2,7,3,4,6,5,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0] [2,7,1,3,6,5,4]=>{{1,2,7},{3},{4},{5,6}}=>[2,7,3,4,6,5,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0] [2,7,1,4,3,5,6]=>{{1,2,7},{3},{4},{5},{6}}=>[2,7,3,4,5,6,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0] [2,7,1,4,3,6,5]=>{{1,2,7},{3},{4},{5},{6}}=>[2,7,3,4,5,6,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0] [2,7,1,4,5,3,6]=>{{1,2,7},{3},{4},{5},{6}}=>[2,7,3,4,5,6,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0] [2,7,1,4,5,6,3]=>{{1,2,7},{3},{4},{5},{6}}=>[2,7,3,4,5,6,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0] [2,7,1,4,6,3,5]=>{{1,2,7},{3},{4},{5,6}}=>[2,7,3,4,6,5,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0] [2,7,1,4,6,5,3]=>{{1,2,7},{3},{4},{5,6}}=>[2,7,3,4,6,5,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0] [2,7,1,5,3,4,6]=>{{1,2,7},{3},{4,5},{6}}=>[2,7,3,5,4,6,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0] [2,7,1,5,3,6,4]=>{{1,2,7},{3},{4,5},{6}}=>[2,7,3,5,4,6,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0] [2,7,1,5,4,3,6]=>{{1,2,7},{3},{4,5},{6}}=>[2,7,3,5,4,6,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0] [2,7,1,5,4,6,3]=>{{1,2,7},{3},{4,5},{6}}=>[2,7,3,5,4,6,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0] [2,7,1,5,6,3,4]=>{{1,2,7},{3},{4,5,6}}=>[2,7,3,5,6,4,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0] [2,7,1,5,6,4,3]=>{{1,2,7},{3},{4,5,6}}=>[2,7,3,5,6,4,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0] [2,7,1,6,3,4,5]=>{{1,2,7},{3},{4,6},{5}}=>[2,7,3,6,5,4,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0] [2,7,1,6,3,5,4]=>{{1,2,7},{3},{4,6},{5}}=>[2,7,3,6,5,4,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0] [2,7,1,6,4,3,5]=>{{1,2,7},{3},{4,6},{5}}=>[2,7,3,6,5,4,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0] [2,7,1,6,4,5,3]=>{{1,2,7},{3},{4,6},{5}}=>[2,7,3,6,5,4,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0] [2,7,1,6,5,3,4]=>{{1,2,7},{3},{4,6},{5}}=>[2,7,3,6,5,4,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0] [2,7,1,6,5,4,3]=>{{1,2,7},{3},{4,6},{5}}=>[2,7,3,6,5,4,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0] [2,7,3,1,4,5,6]=>{{1,2,7},{3},{4},{5},{6}}=>[2,7,3,4,5,6,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0] [2,7,3,1,4,6,5]=>{{1,2,7},{3},{4},{5},{6}}=>[2,7,3,4,5,6,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0] [2,7,3,1,5,4,6]=>{{1,2,7},{3},{4},{5},{6}}=>[2,7,3,4,5,6,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0] [2,7,3,1,5,6,4]=>{{1,2,7},{3},{4},{5},{6}}=>[2,7,3,4,5,6,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0] [2,7,3,1,6,4,5]=>{{1,2,7},{3},{4},{5,6}}=>[2,7,3,4,6,5,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0] [2,7,3,1,6,5,4]=>{{1,2,7},{3},{4},{5,6}}=>[2,7,3,4,6,5,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0] [2,7,3,4,1,5,6]=>{{1,2,7},{3},{4},{5},{6}}=>[2,7,3,4,5,6,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0] [2,7,3,4,1,6,5]=>{{1,2,7},{3},{4},{5},{6}}=>[2,7,3,4,5,6,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0] [2,7,3,4,5,1,6]=>{{1,2,7},{3},{4},{5},{6}}=>[2,7,3,4,5,6,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0] [2,7,3,4,5,6,1]=>{{1,2,7},{3},{4},{5},{6}}=>[2,7,3,4,5,6,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0] [2,7,3,4,6,1,5]=>{{1,2,7},{3},{4},{5,6}}=>[2,7,3,4,6,5,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0] [2,7,3,4,6,5,1]=>{{1,2,7},{3},{4},{5,6}}=>[2,7,3,4,6,5,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0] [2,7,3,5,1,4,6]=>{{1,2,7},{3},{4,5},{6}}=>[2,7,3,5,4,6,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0] [2,7,3,5,1,6,4]=>{{1,2,7},{3},{4,5},{6}}=>[2,7,3,5,4,6,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0] [2,7,3,5,4,1,6]=>{{1,2,7},{3},{4,5},{6}}=>[2,7,3,5,4,6,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0] [2,7,3,5,4,6,1]=>{{1,2,7},{3},{4,5},{6}}=>[2,7,3,5,4,6,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0] [2,7,3,5,6,1,4]=>{{1,2,7},{3},{4,5,6}}=>[2,7,3,5,6,4,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0] [2,7,3,5,6,4,1]=>{{1,2,7},{3},{4,5,6}}=>[2,7,3,5,6,4,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0] [2,7,3,6,1,4,5]=>{{1,2,7},{3},{4,6},{5}}=>[2,7,3,6,5,4,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0] [2,7,3,6,1,5,4]=>{{1,2,7},{3},{4,6},{5}}=>[2,7,3,6,5,4,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0] [2,7,3,6,4,1,5]=>{{1,2,7},{3},{4,6},{5}}=>[2,7,3,6,5,4,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0] [2,7,3,6,4,5,1]=>{{1,2,7},{3},{4,6},{5}}=>[2,7,3,6,5,4,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0] [2,7,3,6,5,1,4]=>{{1,2,7},{3},{4,6},{5}}=>[2,7,3,6,5,4,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0] [2,7,3,6,5,4,1]=>{{1,2,7},{3},{4,6},{5}}=>[2,7,3,6,5,4,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0] [2,7,4,1,3,5,6]=>{{1,2,7},{3,4},{5},{6}}=>[2,7,4,3,5,6,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0] [2,7,4,1,3,6,5]=>{{1,2,7},{3,4},{5},{6}}=>[2,7,4,3,5,6,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0] [2,7,4,1,5,3,6]=>{{1,2,7},{3,4},{5},{6}}=>[2,7,4,3,5,6,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0] [2,7,4,1,5,6,3]=>{{1,2,7},{3,4},{5},{6}}=>[2,7,4,3,5,6,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0] [2,7,4,1,6,3,5]=>{{1,2,7},{3,4},{5,6}}=>[2,7,4,3,6,5,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0] [2,7,4,1,6,5,3]=>{{1,2,7},{3,4},{5,6}}=>[2,7,4,3,6,5,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0] [2,7,4,3,1,5,6]=>{{1,2,7},{3,4},{5},{6}}=>[2,7,4,3,5,6,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0] [2,7,4,3,1,6,5]=>{{1,2,7},{3,4},{5},{6}}=>[2,7,4,3,5,6,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0] [2,7,4,3,5,1,6]=>{{1,2,7},{3,4},{5},{6}}=>[2,7,4,3,5,6,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0] [2,7,4,3,5,6,1]=>{{1,2,7},{3,4},{5},{6}}=>[2,7,4,3,5,6,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0] [2,7,4,3,6,1,5]=>{{1,2,7},{3,4},{5,6}}=>[2,7,4,3,6,5,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0] [2,7,4,3,6,5,1]=>{{1,2,7},{3,4},{5,6}}=>[2,7,4,3,6,5,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0] [2,7,4,5,1,3,6]=>{{1,2,7},{3,4,5},{6}}=>[2,7,4,5,3,6,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0] [2,7,4,5,1,6,3]=>{{1,2,7},{3,4,5},{6}}=>[2,7,4,5,3,6,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0] [2,7,4,5,3,1,6]=>{{1,2,7},{3,4,5},{6}}=>[2,7,4,5,3,6,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0] [2,7,4,5,3,6,1]=>{{1,2,7},{3,4,5},{6}}=>[2,7,4,5,3,6,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0] [2,7,4,5,6,1,3]=>{{1,2,7},{3,4,5,6}}=>[2,7,4,5,6,3,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0] [2,7,4,5,6,3,1]=>{{1,2,7},{3,4,5,6}}=>[2,7,4,5,6,3,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0] [2,7,4,6,1,3,5]=>{{1,2,7},{3,4,6},{5}}=>[2,7,4,6,5,3,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0] [2,7,4,6,1,5,3]=>{{1,2,7},{3,4,6},{5}}=>[2,7,4,6,5,3,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0] [2,7,4,6,3,1,5]=>{{1,2,7},{3,4,6},{5}}=>[2,7,4,6,5,3,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0] [2,7,4,6,3,5,1]=>{{1,2,7},{3,4,6},{5}}=>[2,7,4,6,5,3,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0] [2,7,4,6,5,1,3]=>{{1,2,7},{3,4,6},{5}}=>[2,7,4,6,5,3,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0] [2,7,4,6,5,3,1]=>{{1,2,7},{3,4,6},{5}}=>[2,7,4,6,5,3,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0] [2,7,5,1,3,4,6]=>{{1,2,7},{3,5},{4},{6}}=>[2,7,5,4,3,6,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0] [2,7,5,1,3,6,4]=>{{1,2,7},{3,5},{4},{6}}=>[2,7,5,4,3,6,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0] [2,7,5,1,4,3,6]=>{{1,2,7},{3,5},{4},{6}}=>[2,7,5,4,3,6,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0] [2,7,5,1,4,6,3]=>{{1,2,7},{3,5},{4},{6}}=>[2,7,5,4,3,6,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0] [2,7,5,1,6,3,4]=>{{1,2,7},{3,5,6},{4}}=>[2,7,5,4,6,3,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0] [2,7,5,1,6,4,3]=>{{1,2,7},{3,5,6},{4}}=>[2,7,5,4,6,3,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0] [2,7,5,3,1,4,6]=>{{1,2,7},{3,5},{4},{6}}=>[2,7,5,4,3,6,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0] [2,7,5,3,1,6,4]=>{{1,2,7},{3,5},{4},{6}}=>[2,7,5,4,3,6,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0] [2,7,5,3,4,1,6]=>{{1,2,7},{3,5},{4},{6}}=>[2,7,5,4,3,6,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0] [2,7,5,3,4,6,1]=>{{1,2,7},{3,5},{4},{6}}=>[2,7,5,4,3,6,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0] [2,7,5,3,6,1,4]=>{{1,2,7},{3,5,6},{4}}=>[2,7,5,4,6,3,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0] [2,7,5,3,6,4,1]=>{{1,2,7},{3,5,6},{4}}=>[2,7,5,4,6,3,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0] [2,7,5,4,1,3,6]=>{{1,2,7},{3,5},{4},{6}}=>[2,7,5,4,3,6,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0] [2,7,5,4,1,6,3]=>{{1,2,7},{3,5},{4},{6}}=>[2,7,5,4,3,6,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0] [2,7,5,4,3,1,6]=>{{1,2,7},{3,5},{4},{6}}=>[2,7,5,4,3,6,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0] [2,7,5,4,3,6,1]=>{{1,2,7},{3,5},{4},{6}}=>[2,7,5,4,3,6,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0] [2,7,5,4,6,1,3]=>{{1,2,7},{3,5,6},{4}}=>[2,7,5,4,6,3,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0] [2,7,5,4,6,3,1]=>{{1,2,7},{3,5,6},{4}}=>[2,7,5,4,6,3,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0] [2,7,5,6,1,3,4]=>{{1,2,7},{3,5},{4,6}}=>[2,7,5,6,3,4,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0] [2,7,5,6,1,4,3]=>{{1,2,7},{3,5},{4,6}}=>[2,7,5,6,3,4,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0] [2,7,5,6,3,1,4]=>{{1,2,7},{3,5},{4,6}}=>[2,7,5,6,3,4,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0] [2,7,5,6,3,4,1]=>{{1,2,7},{3,5},{4,6}}=>[2,7,5,6,3,4,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0] [2,7,5,6,4,1,3]=>{{1,2,7},{3,5},{4,6}}=>[2,7,5,6,3,4,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0] [2,7,5,6,4,3,1]=>{{1,2,7},{3,5},{4,6}}=>[2,7,5,6,3,4,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0] [2,7,6,1,3,4,5]=>{{1,2,7},{3,6},{4},{5}}=>[2,7,6,4,5,3,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0] [2,7,6,1,3,5,4]=>{{1,2,7},{3,6},{4},{5}}=>[2,7,6,4,5,3,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0] [2,7,6,1,4,3,5]=>{{1,2,7},{3,6},{4},{5}}=>[2,7,6,4,5,3,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0] [2,7,6,1,4,5,3]=>{{1,2,7},{3,6},{4},{5}}=>[2,7,6,4,5,3,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0] [2,7,6,1,5,3,4]=>{{1,2,7},{3,6},{4},{5}}=>[2,7,6,4,5,3,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0] [2,7,6,1,5,4,3]=>{{1,2,7},{3,6},{4},{5}}=>[2,7,6,4,5,3,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0] [2,7,6,3,1,4,5]=>{{1,2,7},{3,6},{4},{5}}=>[2,7,6,4,5,3,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0] [2,7,6,3,1,5,4]=>{{1,2,7},{3,6},{4},{5}}=>[2,7,6,4,5,3,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0] [2,7,6,3,4,1,5]=>{{1,2,7},{3,6},{4},{5}}=>[2,7,6,4,5,3,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0] [2,7,6,3,4,5,1]=>{{1,2,7},{3,6},{4},{5}}=>[2,7,6,4,5,3,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0] [2,7,6,3,5,1,4]=>{{1,2,7},{3,6},{4},{5}}=>[2,7,6,4,5,3,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0] [2,7,6,3,5,4,1]=>{{1,2,7},{3,6},{4},{5}}=>[2,7,6,4,5,3,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0] [2,7,6,4,1,3,5]=>{{1,2,7},{3,6},{4},{5}}=>[2,7,6,4,5,3,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0] [2,7,6,4,1,5,3]=>{{1,2,7},{3,6},{4},{5}}=>[2,7,6,4,5,3,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0] [2,7,6,4,3,1,5]=>{{1,2,7},{3,6},{4},{5}}=>[2,7,6,4,5,3,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0] [2,7,6,4,3,5,1]=>{{1,2,7},{3,6},{4},{5}}=>[2,7,6,4,5,3,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0] [2,7,6,4,5,1,3]=>{{1,2,7},{3,6},{4},{5}}=>[2,7,6,4,5,3,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0] [2,7,6,4,5,3,1]=>{{1,2,7},{3,6},{4},{5}}=>[2,7,6,4,5,3,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0] [2,7,6,5,1,3,4]=>{{1,2,7},{3,6},{4,5}}=>[2,7,6,5,4,3,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0] [2,7,6,5,1,4,3]=>{{1,2,7},{3,6},{4,5}}=>[2,7,6,5,4,3,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0] [2,7,6,5,3,1,4]=>{{1,2,7},{3,6},{4,5}}=>[2,7,6,5,4,3,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0] [2,7,6,5,3,4,1]=>{{1,2,7},{3,6},{4,5}}=>[2,7,6,5,4,3,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0] [2,7,6,5,4,1,3]=>{{1,2,7},{3,6},{4,5}}=>[2,7,6,5,4,3,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0] [2,7,6,5,4,3,1]=>{{1,2,7},{3,6},{4,5}}=>[2,7,6,5,4,3,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0] [3,1,2,4,5,6,7]=>{{1,3},{2},{4},{5},{6},{7}}=>[3,2,1,4,5,6,7]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,0] [3,1,2,4,5,7,6]=>{{1,3},{2},{4},{5},{6,7}}=>[3,2,1,4,5,7,6]=>[1,1,1,0,0,0,1,0,1,0,1,1,0,0] [3,1,2,4,6,5,7]=>{{1,3},{2},{4},{5,6},{7}}=>[3,2,1,4,6,5,7]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0] [3,1,2,4,6,7,5]=>{{1,3},{2},{4},{5,6,7}}=>[3,2,1,4,6,7,5]=>[1,1,1,0,0,0,1,0,1,1,0,1,0,0] [3,1,2,4,7,5,6]=>{{1,3},{2},{4},{5,7},{6}}=>[3,2,1,4,7,6,5]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,0] [3,1,2,4,7,6,5]=>{{1,3},{2},{4},{5,7},{6}}=>[3,2,1,4,7,6,5]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,0] [3,1,2,5,4,6,7]=>{{1,3},{2},{4,5},{6},{7}}=>[3,2,1,5,4,6,7]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0] [3,1,2,5,4,7,6]=>{{1,3},{2},{4,5},{6,7}}=>[3,2,1,5,4,7,6]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0] [3,1,2,5,6,4,7]=>{{1,3},{2},{4,5,6},{7}}=>[3,2,1,5,6,4,7]=>[1,1,1,0,0,0,1,1,0,1,0,0,1,0] [3,1,2,5,6,7,4]=>{{1,3},{2},{4,5,6,7}}=>[3,2,1,5,6,7,4]=>[1,1,1,0,0,0,1,1,0,1,0,1,0,0] [3,1,2,5,7,4,6]=>{{1,3},{2},{4,5,7},{6}}=>[3,2,1,5,7,6,4]=>[1,1,1,0,0,0,1,1,0,1,1,0,0,0] [3,1,2,5,7,6,4]=>{{1,3},{2},{4,5,7},{6}}=>[3,2,1,5,7,6,4]=>[1,1,1,0,0,0,1,1,0,1,1,0,0,0] [3,1,2,6,4,5,7]=>{{1,3},{2},{4,6},{5},{7}}=>[3,2,1,6,5,4,7]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0] [3,1,2,6,4,7,5]=>{{1,3},{2},{4,6,7},{5}}=>[3,2,1,6,5,7,4]=>[1,1,1,0,0,0,1,1,1,0,0,1,0,0] [3,1,2,6,5,4,7]=>{{1,3},{2},{4,6},{5},{7}}=>[3,2,1,6,5,4,7]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0] [3,1,2,6,5,7,4]=>{{1,3},{2},{4,6,7},{5}}=>[3,2,1,6,5,7,4]=>[1,1,1,0,0,0,1,1,1,0,0,1,0,0] [3,1,2,6,7,4,5]=>{{1,3},{2},{4,6},{5,7}}=>[3,2,1,6,7,4,5]=>[1,1,1,0,0,0,1,1,1,0,1,0,0,0] [3,1,2,6,7,5,4]=>{{1,3},{2},{4,6},{5,7}}=>[3,2,1,6,7,4,5]=>[1,1,1,0,0,0,1,1,1,0,1,0,0,0] [3,1,2,7,4,5,6]=>{{1,3},{2},{4,7},{5},{6}}=>[3,2,1,7,5,6,4]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0] [3,1,2,7,4,6,5]=>{{1,3},{2},{4,7},{5},{6}}=>[3,2,1,7,5,6,4]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0] [3,1,2,7,5,4,6]=>{{1,3},{2},{4,7},{5},{6}}=>[3,2,1,7,5,6,4]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0] [3,1,2,7,5,6,4]=>{{1,3},{2},{4,7},{5},{6}}=>[3,2,1,7,5,6,4]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0] [3,1,2,7,6,4,5]=>{{1,3},{2},{4,7},{5,6}}=>[3,2,1,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0] [3,1,2,7,6,5,4]=>{{1,3},{2},{4,7},{5,6}}=>[3,2,1,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0] [3,1,4,2,5,6,7]=>{{1,3,4},{2},{5},{6},{7}}=>[3,2,4,1,5,6,7]=>[1,1,1,0,0,1,0,0,1,0,1,0,1,0] [3,1,4,2,5,7,6]=>{{1,3,4},{2},{5},{6,7}}=>[3,2,4,1,5,7,6]=>[1,1,1,0,0,1,0,0,1,0,1,1,0,0] [3,1,4,2,6,5,7]=>{{1,3,4},{2},{5,6},{7}}=>[3,2,4,1,6,5,7]=>[1,1,1,0,0,1,0,0,1,1,0,0,1,0] [3,1,4,2,6,7,5]=>{{1,3,4},{2},{5,6,7}}=>[3,2,4,1,6,7,5]=>[1,1,1,0,0,1,0,0,1,1,0,1,0,0] [3,1,4,2,7,5,6]=>{{1,3,4},{2},{5,7},{6}}=>[3,2,4,1,7,6,5]=>[1,1,1,0,0,1,0,0,1,1,1,0,0,0] [3,1,4,2,7,6,5]=>{{1,3,4},{2},{5,7},{6}}=>[3,2,4,1,7,6,5]=>[1,1,1,0,0,1,0,0,1,1,1,0,0,0] [3,1,4,5,2,6,7]=>{{1,3,4,5},{2},{6},{7}}=>[3,2,4,5,1,6,7]=>[1,1,1,0,0,1,0,1,0,0,1,0,1,0] [3,1,4,5,2,7,6]=>{{1,3,4,5},{2},{6,7}}=>[3,2,4,5,1,7,6]=>[1,1,1,0,0,1,0,1,0,0,1,1,0,0] [3,1,4,5,6,2,7]=>{{1,3,4,5,6},{2},{7}}=>[3,2,4,5,6,1,7]=>[1,1,1,0,0,1,0,1,0,1,0,0,1,0] [3,1,4,5,6,7,2]=>{{1,3,4,5,6,7},{2}}=>[3,2,4,5,6,7,1]=>[1,1,1,0,0,1,0,1,0,1,0,1,0,0] [3,1,4,5,7,2,6]=>{{1,3,4,5,7},{2},{6}}=>[3,2,4,5,7,6,1]=>[1,1,1,0,0,1,0,1,0,1,1,0,0,0] [3,1,4,5,7,6,2]=>{{1,3,4,5,7},{2},{6}}=>[3,2,4,5,7,6,1]=>[1,1,1,0,0,1,0,1,0,1,1,0,0,0] [3,1,4,6,2,5,7]=>{{1,3,4,6},{2},{5},{7}}=>[3,2,4,6,5,1,7]=>[1,1,1,0,0,1,0,1,1,0,0,0,1,0] [3,1,4,6,2,7,5]=>{{1,3,4,6,7},{2},{5}}=>[3,2,4,6,5,7,1]=>[1,1,1,0,0,1,0,1,1,0,0,1,0,0] [3,1,4,6,5,2,7]=>{{1,3,4,6},{2},{5},{7}}=>[3,2,4,6,5,1,7]=>[1,1,1,0,0,1,0,1,1,0,0,0,1,0] [3,1,4,6,5,7,2]=>{{1,3,4,6,7},{2},{5}}=>[3,2,4,6,5,7,1]=>[1,1,1,0,0,1,0,1,1,0,0,1,0,0] [3,1,4,6,7,2,5]=>{{1,3,4,6},{2},{5,7}}=>[3,2,4,6,7,1,5]=>[1,1,1,0,0,1,0,1,1,0,1,0,0,0] [3,1,4,6,7,5,2]=>{{1,3,4,6},{2},{5,7}}=>[3,2,4,6,7,1,5]=>[1,1,1,0,0,1,0,1,1,0,1,0,0,0] [3,1,4,7,2,5,6]=>{{1,3,4,7},{2},{5},{6}}=>[3,2,4,7,5,6,1]=>[1,1,1,0,0,1,0,1,1,1,0,0,0,0] [3,1,4,7,2,6,5]=>{{1,3,4,7},{2},{5},{6}}=>[3,2,4,7,5,6,1]=>[1,1,1,0,0,1,0,1,1,1,0,0,0,0] [3,1,4,7,5,2,6]=>{{1,3,4,7},{2},{5},{6}}=>[3,2,4,7,5,6,1]=>[1,1,1,0,0,1,0,1,1,1,0,0,0,0] [3,1,4,7,5,6,2]=>{{1,3,4,7},{2},{5},{6}}=>[3,2,4,7,5,6,1]=>[1,1,1,0,0,1,0,1,1,1,0,0,0,0] [3,1,4,7,6,2,5]=>{{1,3,4,7},{2},{5,6}}=>[3,2,4,7,6,5,1]=>[1,1,1,0,0,1,0,1,1,1,0,0,0,0] [3,1,4,7,6,5,2]=>{{1,3,4,7},{2},{5,6}}=>[3,2,4,7,6,5,1]=>[1,1,1,0,0,1,0,1,1,1,0,0,0,0] [3,1,5,2,4,6,7]=>{{1,3,5},{2},{4},{6},{7}}=>[3,2,5,4,1,6,7]=>[1,1,1,0,0,1,1,0,0,0,1,0,1,0] [3,1,5,2,4,7,6]=>{{1,3,5},{2},{4},{6,7}}=>[3,2,5,4,1,7,6]=>[1,1,1,0,0,1,1,0,0,0,1,1,0,0] [3,1,5,2,6,4,7]=>{{1,3,5,6},{2},{4},{7}}=>[3,2,5,4,6,1,7]=>[1,1,1,0,0,1,1,0,0,1,0,0,1,0] [3,1,5,2,6,7,4]=>{{1,3,5,6,7},{2},{4}}=>[3,2,5,4,6,7,1]=>[1,1,1,0,0,1,1,0,0,1,0,1,0,0] [3,1,5,2,7,4,6]=>{{1,3,5,7},{2},{4},{6}}=>[3,2,5,4,7,6,1]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,0] [3,1,5,2,7,6,4]=>{{1,3,5,7},{2},{4},{6}}=>[3,2,5,4,7,6,1]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,0] [3,1,5,4,2,6,7]=>{{1,3,5},{2},{4},{6},{7}}=>[3,2,5,4,1,6,7]=>[1,1,1,0,0,1,1,0,0,0,1,0,1,0] [3,1,5,4,2,7,6]=>{{1,3,5},{2},{4},{6,7}}=>[3,2,5,4,1,7,6]=>[1,1,1,0,0,1,1,0,0,0,1,1,0,0] [3,1,5,4,6,2,7]=>{{1,3,5,6},{2},{4},{7}}=>[3,2,5,4,6,1,7]=>[1,1,1,0,0,1,1,0,0,1,0,0,1,0] [3,1,5,4,6,7,2]=>{{1,3,5,6,7},{2},{4}}=>[3,2,5,4,6,7,1]=>[1,1,1,0,0,1,1,0,0,1,0,1,0,0] [3,1,5,4,7,2,6]=>{{1,3,5,7},{2},{4},{6}}=>[3,2,5,4,7,6,1]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,0] [3,1,5,4,7,6,2]=>{{1,3,5,7},{2},{4},{6}}=>[3,2,5,4,7,6,1]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,0] [3,1,5,6,2,4,7]=>{{1,3,5},{2},{4,6},{7}}=>[3,2,5,6,1,4,7]=>[1,1,1,0,0,1,1,0,1,0,0,0,1,0] [3,1,5,6,2,7,4]=>{{1,3,5},{2},{4,6,7}}=>[3,2,5,6,1,7,4]=>[1,1,1,0,0,1,1,0,1,0,0,1,0,0] [3,1,5,6,4,2,7]=>{{1,3,5},{2},{4,6},{7}}=>[3,2,5,6,1,4,7]=>[1,1,1,0,0,1,1,0,1,0,0,0,1,0] [3,1,5,6,4,7,2]=>{{1,3,5},{2},{4,6,7}}=>[3,2,5,6,1,7,4]=>[1,1,1,0,0,1,1,0,1,0,0,1,0,0] [3,1,5,6,7,2,4]=>{{1,3,5,7},{2},{4,6}}=>[3,2,5,6,7,4,1]=>[1,1,1,0,0,1,1,0,1,0,1,0,0,0] [3,1,5,6,7,4,2]=>{{1,3,5,7},{2},{4,6}}=>[3,2,5,6,7,4,1]=>[1,1,1,0,0,1,1,0,1,0,1,0,0,0] [3,1,5,7,2,4,6]=>{{1,3,5},{2},{4,7},{6}}=>[3,2,5,7,1,6,4]=>[1,1,1,0,0,1,1,0,1,1,0,0,0,0] [3,1,5,7,2,6,4]=>{{1,3,5},{2},{4,7},{6}}=>[3,2,5,7,1,6,4]=>[1,1,1,0,0,1,1,0,1,1,0,0,0,0] [3,1,5,7,4,2,6]=>{{1,3,5},{2},{4,7},{6}}=>[3,2,5,7,1,6,4]=>[1,1,1,0,0,1,1,0,1,1,0,0,0,0] [3,1,5,7,4,6,2]=>{{1,3,5},{2},{4,7},{6}}=>[3,2,5,7,1,6,4]=>[1,1,1,0,0,1,1,0,1,1,0,0,0,0] [3,1,5,7,6,2,4]=>{{1,3,5,6},{2},{4,7}}=>[3,2,5,7,6,1,4]=>[1,1,1,0,0,1,1,0,1,1,0,0,0,0] [3,1,5,7,6,4,2]=>{{1,3,5,6},{2},{4,7}}=>[3,2,5,7,6,1,4]=>[1,1,1,0,0,1,1,0,1,1,0,0,0,0] [3,1,6,2,4,5,7]=>{{1,3,6},{2},{4},{5},{7}}=>[3,2,6,4,5,1,7]=>[1,1,1,0,0,1,1,1,0,0,0,0,1,0] [3,1,6,2,4,7,5]=>{{1,3,6,7},{2},{4},{5}}=>[3,2,6,4,5,7,1]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0] [3,1,6,2,5,4,7]=>{{1,3,6},{2},{4},{5},{7}}=>[3,2,6,4,5,1,7]=>[1,1,1,0,0,1,1,1,0,0,0,0,1,0] [3,1,6,2,5,7,4]=>{{1,3,6,7},{2},{4},{5}}=>[3,2,6,4,5,7,1]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0] [3,1,6,2,7,4,5]=>{{1,3,6},{2},{4},{5,7}}=>[3,2,6,4,7,1,5]=>[1,1,1,0,0,1,1,1,0,0,1,0,0,0] [3,1,6,2,7,5,4]=>{{1,3,6},{2},{4},{5,7}}=>[3,2,6,4,7,1,5]=>[1,1,1,0,0,1,1,1,0,0,1,0,0,0] [3,1,6,4,2,5,7]=>{{1,3,6},{2},{4},{5},{7}}=>[3,2,6,4,5,1,7]=>[1,1,1,0,0,1,1,1,0,0,0,0,1,0] [3,1,6,4,2,7,5]=>{{1,3,6,7},{2},{4},{5}}=>[3,2,6,4,5,7,1]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0] [3,1,6,4,5,2,7]=>{{1,3,6},{2},{4},{5},{7}}=>[3,2,6,4,5,1,7]=>[1,1,1,0,0,1,1,1,0,0,0,0,1,0] [3,1,6,4,5,7,2]=>{{1,3,6,7},{2},{4},{5}}=>[3,2,6,4,5,7,1]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0] [3,1,6,4,7,2,5]=>{{1,3,6},{2},{4},{5,7}}=>[3,2,6,4,7,1,5]=>[1,1,1,0,0,1,1,1,0,0,1,0,0,0] [3,1,6,4,7,5,2]=>{{1,3,6},{2},{4},{5,7}}=>[3,2,6,4,7,1,5]=>[1,1,1,0,0,1,1,1,0,0,1,0,0,0] [3,1,6,5,2,4,7]=>{{1,3,6},{2},{4,5},{7}}=>[3,2,6,5,4,1,7]=>[1,1,1,0,0,1,1,1,0,0,0,0,1,0] [3,1,6,5,2,7,4]=>{{1,3,6,7},{2},{4,5}}=>[3,2,6,5,4,7,1]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0] [3,1,6,5,4,2,7]=>{{1,3,6},{2},{4,5},{7}}=>[3,2,6,5,4,1,7]=>[1,1,1,0,0,1,1,1,0,0,0,0,1,0] [3,1,6,5,4,7,2]=>{{1,3,6,7},{2},{4,5}}=>[3,2,6,5,4,7,1]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0] [3,1,6,5,7,2,4]=>{{1,3,6},{2},{4,5,7}}=>[3,2,6,5,7,1,4]=>[1,1,1,0,0,1,1,1,0,0,1,0,0,0] [3,1,6,5,7,4,2]=>{{1,3,6},{2},{4,5,7}}=>[3,2,6,5,7,1,4]=>[1,1,1,0,0,1,1,1,0,0,1,0,0,0] [3,1,6,7,2,4,5]=>{{1,3,6},{2},{4,7},{5}}=>[3,2,6,7,5,1,4]=>[1,1,1,0,0,1,1,1,0,1,0,0,0,0] [3,1,6,7,2,5,4]=>{{1,3,6},{2},{4,7},{5}}=>[3,2,6,7,5,1,4]=>[1,1,1,0,0,1,1,1,0,1,0,0,0,0] [3,1,6,7,4,2,5]=>{{1,3,6},{2},{4,7},{5}}=>[3,2,6,7,5,1,4]=>[1,1,1,0,0,1,1,1,0,1,0,0,0,0] [3,1,6,7,4,5,2]=>{{1,3,6},{2},{4,7},{5}}=>[3,2,6,7,5,1,4]=>[1,1,1,0,0,1,1,1,0,1,0,0,0,0] [3,1,6,7,5,2,4]=>{{1,3,6},{2},{4,7},{5}}=>[3,2,6,7,5,1,4]=>[1,1,1,0,0,1,1,1,0,1,0,0,0,0] [3,1,6,7,5,4,2]=>{{1,3,6},{2},{4,7},{5}}=>[3,2,6,7,5,1,4]=>[1,1,1,0,0,1,1,1,0,1,0,0,0,0] [3,1,7,2,4,5,6]=>{{1,3,7},{2},{4},{5},{6}}=>[3,2,7,4,5,6,1]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0] [3,1,7,2,4,6,5]=>{{1,3,7},{2},{4},{5},{6}}=>[3,2,7,4,5,6,1]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0] [3,1,7,2,5,4,6]=>{{1,3,7},{2},{4},{5},{6}}=>[3,2,7,4,5,6,1]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0] [3,1,7,2,5,6,4]=>{{1,3,7},{2},{4},{5},{6}}=>[3,2,7,4,5,6,1]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0] [3,1,7,2,6,4,5]=>{{1,3,7},{2},{4},{5,6}}=>[3,2,7,4,6,5,1]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0] [3,1,7,2,6,5,4]=>{{1,3,7},{2},{4},{5,6}}=>[3,2,7,4,6,5,1]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0] [3,1,7,4,2,5,6]=>{{1,3,7},{2},{4},{5},{6}}=>[3,2,7,4,5,6,1]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0] [3,1,7,4,2,6,5]=>{{1,3,7},{2},{4},{5},{6}}=>[3,2,7,4,5,6,1]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0] [3,1,7,4,5,2,6]=>{{1,3,7},{2},{4},{5},{6}}=>[3,2,7,4,5,6,1]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0] [3,1,7,4,5,6,2]=>{{1,3,7},{2},{4},{5},{6}}=>[3,2,7,4,5,6,1]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0] [3,1,7,4,6,2,5]=>{{1,3,7},{2},{4},{5,6}}=>[3,2,7,4,6,5,1]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0] [3,1,7,4,6,5,2]=>{{1,3,7},{2},{4},{5,6}}=>[3,2,7,4,6,5,1]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0] [3,1,7,5,2,4,6]=>{{1,3,7},{2},{4,5},{6}}=>[3,2,7,5,4,6,1]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0] [3,1,7,5,2,6,4]=>{{1,3,7},{2},{4,5},{6}}=>[3,2,7,5,4,6,1]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0] [3,1,7,5,4,2,6]=>{{1,3,7},{2},{4,5},{6}}=>[3,2,7,5,4,6,1]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0] [3,1,7,5,4,6,2]=>{{1,3,7},{2},{4,5},{6}}=>[3,2,7,5,4,6,1]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0] [3,1,7,5,6,2,4]=>{{1,3,7},{2},{4,5,6}}=>[3,2,7,5,6,4,1]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0] [3,1,7,5,6,4,2]=>{{1,3,7},{2},{4,5,6}}=>[3,2,7,5,6,4,1]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0] [3,1,7,6,2,4,5]=>{{1,3,7},{2},{4,6},{5}}=>[3,2,7,6,5,4,1]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0] [3,1,7,6,2,5,4]=>{{1,3,7},{2},{4,6},{5}}=>[3,2,7,6,5,4,1]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0] [3,1,7,6,4,2,5]=>{{1,3,7},{2},{4,6},{5}}=>[3,2,7,6,5,4,1]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0] [3,1,7,6,4,5,2]=>{{1,3,7},{2},{4,6},{5}}=>[3,2,7,6,5,4,1]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0] [3,1,7,6,5,2,4]=>{{1,3,7},{2},{4,6},{5}}=>[3,2,7,6,5,4,1]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0] [3,1,7,6,5,4,2]=>{{1,3,7},{2},{4,6},{5}}=>[3,2,7,6,5,4,1]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0] [3,2,1,4,5,6,7]=>{{1,3},{2},{4},{5},{6},{7}}=>[3,2,1,4,5,6,7]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,0] [3,2,1,4,5,7,6]=>{{1,3},{2},{4},{5},{6,7}}=>[3,2,1,4,5,7,6]=>[1,1,1,0,0,0,1,0,1,0,1,1,0,0] [3,2,1,4,6,5,7]=>{{1,3},{2},{4},{5,6},{7}}=>[3,2,1,4,6,5,7]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0] [3,2,1,4,6,7,5]=>{{1,3},{2},{4},{5,6,7}}=>[3,2,1,4,6,7,5]=>[1,1,1,0,0,0,1,0,1,1,0,1,0,0] [3,2,1,4,7,5,6]=>{{1,3},{2},{4},{5,7},{6}}=>[3,2,1,4,7,6,5]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,0] [3,2,1,4,7,6,5]=>{{1,3},{2},{4},{5,7},{6}}=>[3,2,1,4,7,6,5]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,0] [3,2,1,5,4,6,7]=>{{1,3},{2},{4,5},{6},{7}}=>[3,2,1,5,4,6,7]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0] [3,2,1,5,4,7,6]=>{{1,3},{2},{4,5},{6,7}}=>[3,2,1,5,4,7,6]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0] [3,2,1,5,6,4,7]=>{{1,3},{2},{4,5,6},{7}}=>[3,2,1,5,6,4,7]=>[1,1,1,0,0,0,1,1,0,1,0,0,1,0] [3,2,1,5,6,7,4]=>{{1,3},{2},{4,5,6,7}}=>[3,2,1,5,6,7,4]=>[1,1,1,0,0,0,1,1,0,1,0,1,0,0] [3,2,1,5,7,4,6]=>{{1,3},{2},{4,5,7},{6}}=>[3,2,1,5,7,6,4]=>[1,1,1,0,0,0,1,1,0,1,1,0,0,0] [3,2,1,5,7,6,4]=>{{1,3},{2},{4,5,7},{6}}=>[3,2,1,5,7,6,4]=>[1,1,1,0,0,0,1,1,0,1,1,0,0,0] [3,2,1,6,4,5,7]=>{{1,3},{2},{4,6},{5},{7}}=>[3,2,1,6,5,4,7]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0] [3,2,1,6,4,7,5]=>{{1,3},{2},{4,6,7},{5}}=>[3,2,1,6,5,7,4]=>[1,1,1,0,0,0,1,1,1,0,0,1,0,0] [3,2,1,6,5,4,7]=>{{1,3},{2},{4,6},{5},{7}}=>[3,2,1,6,5,4,7]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0] [3,2,1,6,5,7,4]=>{{1,3},{2},{4,6,7},{5}}=>[3,2,1,6,5,7,4]=>[1,1,1,0,0,0,1,1,1,0,0,1,0,0] [3,2,1,6,7,4,5]=>{{1,3},{2},{4,6},{5,7}}=>[3,2,1,6,7,4,5]=>[1,1,1,0,0,0,1,1,1,0,1,0,0,0] [3,2,1,6,7,5,4]=>{{1,3},{2},{4,6},{5,7}}=>[3,2,1,6,7,4,5]=>[1,1,1,0,0,0,1,1,1,0,1,0,0,0] [3,2,1,7,4,5,6]=>{{1,3},{2},{4,7},{5},{6}}=>[3,2,1,7,5,6,4]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0] [3,2,1,7,4,6,5]=>{{1,3},{2},{4,7},{5},{6}}=>[3,2,1,7,5,6,4]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0] [3,2,1,7,5,4,6]=>{{1,3},{2},{4,7},{5},{6}}=>[3,2,1,7,5,6,4]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0] [3,2,1,7,5,6,4]=>{{1,3},{2},{4,7},{5},{6}}=>[3,2,1,7,5,6,4]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0] [3,2,1,7,6,4,5]=>{{1,3},{2},{4,7},{5,6}}=>[3,2,1,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0] [3,2,1,7,6,5,4]=>{{1,3},{2},{4,7},{5,6}}=>[3,2,1,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0] [3,2,4,1,5,6,7]=>{{1,3,4},{2},{5},{6},{7}}=>[3,2,4,1,5,6,7]=>[1,1,1,0,0,1,0,0,1,0,1,0,1,0] [3,2,4,1,5,7,6]=>{{1,3,4},{2},{5},{6,7}}=>[3,2,4,1,5,7,6]=>[1,1,1,0,0,1,0,0,1,0,1,1,0,0] [3,2,4,1,6,5,7]=>{{1,3,4},{2},{5,6},{7}}=>[3,2,4,1,6,5,7]=>[1,1,1,0,0,1,0,0,1,1,0,0,1,0] [3,2,4,1,6,7,5]=>{{1,3,4},{2},{5,6,7}}=>[3,2,4,1,6,7,5]=>[1,1,1,0,0,1,0,0,1,1,0,1,0,0] [3,2,4,1,7,5,6]=>{{1,3,4},{2},{5,7},{6}}=>[3,2,4,1,7,6,5]=>[1,1,1,0,0,1,0,0,1,1,1,0,0,0] [3,2,4,1,7,6,5]=>{{1,3,4},{2},{5,7},{6}}=>[3,2,4,1,7,6,5]=>[1,1,1,0,0,1,0,0,1,1,1,0,0,0] [3,2,4,5,1,6,7]=>{{1,3,4,5},{2},{6},{7}}=>[3,2,4,5,1,6,7]=>[1,1,1,0,0,1,0,1,0,0,1,0,1,0] [3,2,4,5,1,7,6]=>{{1,3,4,5},{2},{6,7}}=>[3,2,4,5,1,7,6]=>[1,1,1,0,0,1,0,1,0,0,1,1,0,0] [3,2,4,5,6,1,7]=>{{1,3,4,5,6},{2},{7}}=>[3,2,4,5,6,1,7]=>[1,1,1,0,0,1,0,1,0,1,0,0,1,0] [3,2,4,5,6,7,1]=>{{1,3,4,5,6,7},{2}}=>[3,2,4,5,6,7,1]=>[1,1,1,0,0,1,0,1,0,1,0,1,0,0] [3,2,4,5,7,1,6]=>{{1,3,4,5,7},{2},{6}}=>[3,2,4,5,7,6,1]=>[1,1,1,0,0,1,0,1,0,1,1,0,0,0] [3,2,4,5,7,6,1]=>{{1,3,4,5,7},{2},{6}}=>[3,2,4,5,7,6,1]=>[1,1,1,0,0,1,0,1,0,1,1,0,0,0] [3,2,4,6,1,5,7]=>{{1,3,4,6},{2},{5},{7}}=>[3,2,4,6,5,1,7]=>[1,1,1,0,0,1,0,1,1,0,0,0,1,0] [3,2,4,6,1,7,5]=>{{1,3,4,6,7},{2},{5}}=>[3,2,4,6,5,7,1]=>[1,1,1,0,0,1,0,1,1,0,0,1,0,0] [3,2,4,6,5,1,7]=>{{1,3,4,6},{2},{5},{7}}=>[3,2,4,6,5,1,7]=>[1,1,1,0,0,1,0,1,1,0,0,0,1,0] [3,2,4,6,5,7,1]=>{{1,3,4,6,7},{2},{5}}=>[3,2,4,6,5,7,1]=>[1,1,1,0,0,1,0,1,1,0,0,1,0,0] [3,2,4,6,7,1,5]=>{{1,3,4,6},{2},{5,7}}=>[3,2,4,6,7,1,5]=>[1,1,1,0,0,1,0,1,1,0,1,0,0,0] [3,2,4,6,7,5,1]=>{{1,3,4,6},{2},{5,7}}=>[3,2,4,6,7,1,5]=>[1,1,1,0,0,1,0,1,1,0,1,0,0,0] [3,2,4,7,1,5,6]=>{{1,3,4,7},{2},{5},{6}}=>[3,2,4,7,5,6,1]=>[1,1,1,0,0,1,0,1,1,1,0,0,0,0] [3,2,4,7,1,6,5]=>{{1,3,4,7},{2},{5},{6}}=>[3,2,4,7,5,6,1]=>[1,1,1,0,0,1,0,1,1,1,0,0,0,0] [3,2,4,7,5,1,6]=>{{1,3,4,7},{2},{5},{6}}=>[3,2,4,7,5,6,1]=>[1,1,1,0,0,1,0,1,1,1,0,0,0,0] [3,2,4,7,5,6,1]=>{{1,3,4,7},{2},{5},{6}}=>[3,2,4,7,5,6,1]=>[1,1,1,0,0,1,0,1,1,1,0,0,0,0] [3,2,4,7,6,1,5]=>{{1,3,4,7},{2},{5,6}}=>[3,2,4,7,6,5,1]=>[1,1,1,0,0,1,0,1,1,1,0,0,0,0] [3,2,4,7,6,5,1]=>{{1,3,4,7},{2},{5,6}}=>[3,2,4,7,6,5,1]=>[1,1,1,0,0,1,0,1,1,1,0,0,0,0] [3,2,5,1,4,6,7]=>{{1,3,5},{2},{4},{6},{7}}=>[3,2,5,4,1,6,7]=>[1,1,1,0,0,1,1,0,0,0,1,0,1,0] [3,2,5,1,4,7,6]=>{{1,3,5},{2},{4},{6,7}}=>[3,2,5,4,1,7,6]=>[1,1,1,0,0,1,1,0,0,0,1,1,0,0] [3,2,5,1,6,4,7]=>{{1,3,5,6},{2},{4},{7}}=>[3,2,5,4,6,1,7]=>[1,1,1,0,0,1,1,0,0,1,0,0,1,0] [3,2,5,1,6,7,4]=>{{1,3,5,6,7},{2},{4}}=>[3,2,5,4,6,7,1]=>[1,1,1,0,0,1,1,0,0,1,0,1,0,0] [3,2,5,1,7,4,6]=>{{1,3,5,7},{2},{4},{6}}=>[3,2,5,4,7,6,1]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,0] [3,2,5,1,7,6,4]=>{{1,3,5,7},{2},{4},{6}}=>[3,2,5,4,7,6,1]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,0] [3,2,5,4,1,6,7]=>{{1,3,5},{2},{4},{6},{7}}=>[3,2,5,4,1,6,7]=>[1,1,1,0,0,1,1,0,0,0,1,0,1,0] [3,2,5,4,1,7,6]=>{{1,3,5},{2},{4},{6,7}}=>[3,2,5,4,1,7,6]=>[1,1,1,0,0,1,1,0,0,0,1,1,0,0] [3,2,5,4,6,1,7]=>{{1,3,5,6},{2},{4},{7}}=>[3,2,5,4,6,1,7]=>[1,1,1,0,0,1,1,0,0,1,0,0,1,0] [3,2,5,4,6,7,1]=>{{1,3,5,6,7},{2},{4}}=>[3,2,5,4,6,7,1]=>[1,1,1,0,0,1,1,0,0,1,0,1,0,0] [3,2,5,4,7,1,6]=>{{1,3,5,7},{2},{4},{6}}=>[3,2,5,4,7,6,1]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,0] [3,2,5,4,7,6,1]=>{{1,3,5,7},{2},{4},{6}}=>[3,2,5,4,7,6,1]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,0] [3,2,5,6,1,4,7]=>{{1,3,5},{2},{4,6},{7}}=>[3,2,5,6,1,4,7]=>[1,1,1,0,0,1,1,0,1,0,0,0,1,0] [3,2,5,6,1,7,4]=>{{1,3,5},{2},{4,6,7}}=>[3,2,5,6,1,7,4]=>[1,1,1,0,0,1,1,0,1,0,0,1,0,0] [3,2,5,6,4,1,7]=>{{1,3,5},{2},{4,6},{7}}=>[3,2,5,6,1,4,7]=>[1,1,1,0,0,1,1,0,1,0,0,0,1,0] [3,2,5,6,4,7,1]=>{{1,3,5},{2},{4,6,7}}=>[3,2,5,6,1,7,4]=>[1,1,1,0,0,1,1,0,1,0,0,1,0,0] [3,2,5,6,7,1,4]=>{{1,3,5,7},{2},{4,6}}=>[3,2,5,6,7,4,1]=>[1,1,1,0,0,1,1,0,1,0,1,0,0,0] [3,2,5,6,7,4,1]=>{{1,3,5,7},{2},{4,6}}=>[3,2,5,6,7,4,1]=>[1,1,1,0,0,1,1,0,1,0,1,0,0,0] [3,2,5,7,1,4,6]=>{{1,3,5},{2},{4,7},{6}}=>[3,2,5,7,1,6,4]=>[1,1,1,0,0,1,1,0,1,1,0,0,0,0] [3,2,5,7,1,6,4]=>{{1,3,5},{2},{4,7},{6}}=>[3,2,5,7,1,6,4]=>[1,1,1,0,0,1,1,0,1,1,0,0,0,0] [3,2,5,7,4,1,6]=>{{1,3,5},{2},{4,7},{6}}=>[3,2,5,7,1,6,4]=>[1,1,1,0,0,1,1,0,1,1,0,0,0,0] [3,2,5,7,4,6,1]=>{{1,3,5},{2},{4,7},{6}}=>[3,2,5,7,1,6,4]=>[1,1,1,0,0,1,1,0,1,1,0,0,0,0] [3,2,5,7,6,1,4]=>{{1,3,5,6},{2},{4,7}}=>[3,2,5,7,6,1,4]=>[1,1,1,0,0,1,1,0,1,1,0,0,0,0] [3,2,5,7,6,4,1]=>{{1,3,5,6},{2},{4,7}}=>[3,2,5,7,6,1,4]=>[1,1,1,0,0,1,1,0,1,1,0,0,0,0] [3,2,6,1,4,5,7]=>{{1,3,6},{2},{4},{5},{7}}=>[3,2,6,4,5,1,7]=>[1,1,1,0,0,1,1,1,0,0,0,0,1,0] [3,2,6,1,4,7,5]=>{{1,3,6,7},{2},{4},{5}}=>[3,2,6,4,5,7,1]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0] [3,2,6,1,5,4,7]=>{{1,3,6},{2},{4},{5},{7}}=>[3,2,6,4,5,1,7]=>[1,1,1,0,0,1,1,1,0,0,0,0,1,0] [3,2,6,1,5,7,4]=>{{1,3,6,7},{2},{4},{5}}=>[3,2,6,4,5,7,1]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0] [3,2,6,1,7,4,5]=>{{1,3,6},{2},{4},{5,7}}=>[3,2,6,4,7,1,5]=>[1,1,1,0,0,1,1,1,0,0,1,0,0,0] [3,2,6,1,7,5,4]=>{{1,3,6},{2},{4},{5,7}}=>[3,2,6,4,7,1,5]=>[1,1,1,0,0,1,1,1,0,0,1,0,0,0] [3,2,6,4,1,5,7]=>{{1,3,6},{2},{4},{5},{7}}=>[3,2,6,4,5,1,7]=>[1,1,1,0,0,1,1,1,0,0,0,0,1,0] [3,2,6,4,1,7,5]=>{{1,3,6,7},{2},{4},{5}}=>[3,2,6,4,5,7,1]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0] [3,2,6,4,5,1,7]=>{{1,3,6},{2},{4},{5},{7}}=>[3,2,6,4,5,1,7]=>[1,1,1,0,0,1,1,1,0,0,0,0,1,0] [3,2,6,4,5,7,1]=>{{1,3,6,7},{2},{4},{5}}=>[3,2,6,4,5,7,1]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0] [3,2,6,4,7,1,5]=>{{1,3,6},{2},{4},{5,7}}=>[3,2,6,4,7,1,5]=>[1,1,1,0,0,1,1,1,0,0,1,0,0,0] [3,2,6,4,7,5,1]=>{{1,3,6},{2},{4},{5,7}}=>[3,2,6,4,7,1,5]=>[1,1,1,0,0,1,1,1,0,0,1,0,0,0] [3,2,6,5,1,4,7]=>{{1,3,6},{2},{4,5},{7}}=>[3,2,6,5,4,1,7]=>[1,1,1,0,0,1,1,1,0,0,0,0,1,0] [3,2,6,5,1,7,4]=>{{1,3,6,7},{2},{4,5}}=>[3,2,6,5,4,7,1]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0] [3,2,6,5,4,1,7]=>{{1,3,6},{2},{4,5},{7}}=>[3,2,6,5,4,1,7]=>[1,1,1,0,0,1,1,1,0,0,0,0,1,0] [3,2,6,5,4,7,1]=>{{1,3,6,7},{2},{4,5}}=>[3,2,6,5,4,7,1]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0] [3,2,6,5,7,1,4]=>{{1,3,6},{2},{4,5,7}}=>[3,2,6,5,7,1,4]=>[1,1,1,0,0,1,1,1,0,0,1,0,0,0] [3,2,6,5,7,4,1]=>{{1,3,6},{2},{4,5,7}}=>[3,2,6,5,7,1,4]=>[1,1,1,0,0,1,1,1,0,0,1,0,0,0] [3,2,6,7,1,4,5]=>{{1,3,6},{2},{4,7},{5}}=>[3,2,6,7,5,1,4]=>[1,1,1,0,0,1,1,1,0,1,0,0,0,0] [3,2,6,7,1,5,4]=>{{1,3,6},{2},{4,7},{5}}=>[3,2,6,7,5,1,4]=>[1,1,1,0,0,1,1,1,0,1,0,0,0,0] [3,2,6,7,4,1,5]=>{{1,3,6},{2},{4,7},{5}}=>[3,2,6,7,5,1,4]=>[1,1,1,0,0,1,1,1,0,1,0,0,0,0] [3,2,6,7,4,5,1]=>{{1,3,6},{2},{4,7},{5}}=>[3,2,6,7,5,1,4]=>[1,1,1,0,0,1,1,1,0,1,0,0,0,0] [3,2,6,7,5,1,4]=>{{1,3,6},{2},{4,7},{5}}=>[3,2,6,7,5,1,4]=>[1,1,1,0,0,1,1,1,0,1,0,0,0,0] [3,2,6,7,5,4,1]=>{{1,3,6},{2},{4,7},{5}}=>[3,2,6,7,5,1,4]=>[1,1,1,0,0,1,1,1,0,1,0,0,0,0] [3,2,7,1,4,5,6]=>{{1,3,7},{2},{4},{5},{6}}=>[3,2,7,4,5,6,1]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0] [3,2,7,1,4,6,5]=>{{1,3,7},{2},{4},{5},{6}}=>[3,2,7,4,5,6,1]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0] [3,2,7,1,5,4,6]=>{{1,3,7},{2},{4},{5},{6}}=>[3,2,7,4,5,6,1]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0] [3,2,7,1,5,6,4]=>{{1,3,7},{2},{4},{5},{6}}=>[3,2,7,4,5,6,1]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0] [3,2,7,1,6,4,5]=>{{1,3,7},{2},{4},{5,6}}=>[3,2,7,4,6,5,1]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0] [3,2,7,1,6,5,4]=>{{1,3,7},{2},{4},{5,6}}=>[3,2,7,4,6,5,1]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0] [3,2,7,4,1,5,6]=>{{1,3,7},{2},{4},{5},{6}}=>[3,2,7,4,5,6,1]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0] [3,2,7,4,1,6,5]=>{{1,3,7},{2},{4},{5},{6}}=>[3,2,7,4,5,6,1]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0] [3,2,7,4,5,1,6]=>{{1,3,7},{2},{4},{5},{6}}=>[3,2,7,4,5,6,1]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0] [3,2,7,4,5,6,1]=>{{1,3,7},{2},{4},{5},{6}}=>[3,2,7,4,5,6,1]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0] [3,2,7,4,6,1,5]=>{{1,3,7},{2},{4},{5,6}}=>[3,2,7,4,6,5,1]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0] [3,2,7,4,6,5,1]=>{{1,3,7},{2},{4},{5,6}}=>[3,2,7,4,6,5,1]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0] [3,2,7,5,1,4,6]=>{{1,3,7},{2},{4,5},{6}}=>[3,2,7,5,4,6,1]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0] [3,2,7,5,1,6,4]=>{{1,3,7},{2},{4,5},{6}}=>[3,2,7,5,4,6,1]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0] [3,2,7,5,4,1,6]=>{{1,3,7},{2},{4,5},{6}}=>[3,2,7,5,4,6,1]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0] [3,2,7,5,4,6,1]=>{{1,3,7},{2},{4,5},{6}}=>[3,2,7,5,4,6,1]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0] [3,2,7,5,6,1,4]=>{{1,3,7},{2},{4,5,6}}=>[3,2,7,5,6,4,1]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0] [3,2,7,5,6,4,1]=>{{1,3,7},{2},{4,5,6}}=>[3,2,7,5,6,4,1]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0] [3,2,7,6,1,4,5]=>{{1,3,7},{2},{4,6},{5}}=>[3,2,7,6,5,4,1]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0] [3,2,7,6,1,5,4]=>{{1,3,7},{2},{4,6},{5}}=>[3,2,7,6,5,4,1]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0] [3,2,7,6,4,1,5]=>{{1,3,7},{2},{4,6},{5}}=>[3,2,7,6,5,4,1]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0] [3,2,7,6,4,5,1]=>{{1,3,7},{2},{4,6},{5}}=>[3,2,7,6,5,4,1]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0] [3,2,7,6,5,1,4]=>{{1,3,7},{2},{4,6},{5}}=>[3,2,7,6,5,4,1]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0] [3,2,7,6,5,4,1]=>{{1,3,7},{2},{4,6},{5}}=>[3,2,7,6,5,4,1]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0] [3,4,1,2,5,6,7]=>{{1,3},{2,4},{5},{6},{7}}=>[3,4,1,2,5,6,7]=>[1,1,1,0,1,0,0,0,1,0,1,0,1,0] [3,4,1,2,5,7,6]=>{{1,3},{2,4},{5},{6,7}}=>[3,4,1,2,5,7,6]=>[1,1,1,0,1,0,0,0,1,0,1,1,0,0] [3,4,1,2,6,5,7]=>{{1,3},{2,4},{5,6},{7}}=>[3,4,1,2,6,5,7]=>[1,1,1,0,1,0,0,0,1,1,0,0,1,0] [3,4,1,2,6,7,5]=>{{1,3},{2,4},{5,6,7}}=>[3,4,1,2,6,7,5]=>[1,1,1,0,1,0,0,0,1,1,0,1,0,0] [3,4,1,2,7,5,6]=>{{1,3},{2,4},{5,7},{6}}=>[3,4,1,2,7,6,5]=>[1,1,1,0,1,0,0,0,1,1,1,0,0,0] [3,4,1,2,7,6,5]=>{{1,3},{2,4},{5,7},{6}}=>[3,4,1,2,7,6,5]=>[1,1,1,0,1,0,0,0,1,1,1,0,0,0] [3,4,1,5,2,6,7]=>{{1,3},{2,4,5},{6},{7}}=>[3,4,1,5,2,6,7]=>[1,1,1,0,1,0,0,1,0,0,1,0,1,0] [3,4,1,5,2,7,6]=>{{1,3},{2,4,5},{6,7}}=>[3,4,1,5,2,7,6]=>[1,1,1,0,1,0,0,1,0,0,1,1,0,0] [3,4,1,5,6,2,7]=>{{1,3},{2,4,5,6},{7}}=>[3,4,1,5,6,2,7]=>[1,1,1,0,1,0,0,1,0,1,0,0,1,0] [3,4,1,5,6,7,2]=>{{1,3},{2,4,5,6,7}}=>[3,4,1,5,6,7,2]=>[1,1,1,0,1,0,0,1,0,1,0,1,0,0] [3,4,1,5,7,2,6]=>{{1,3},{2,4,5,7},{6}}=>[3,4,1,5,7,6,2]=>[1,1,1,0,1,0,0,1,0,1,1,0,0,0] [3,4,1,5,7,6,2]=>{{1,3},{2,4,5,7},{6}}=>[3,4,1,5,7,6,2]=>[1,1,1,0,1,0,0,1,0,1,1,0,0,0] [3,4,1,6,2,5,7]=>{{1,3},{2,4,6},{5},{7}}=>[3,4,1,6,5,2,7]=>[1,1,1,0,1,0,0,1,1,0,0,0,1,0] [3,4,1,6,2,7,5]=>{{1,3},{2,4,6,7},{5}}=>[3,4,1,6,5,7,2]=>[1,1,1,0,1,0,0,1,1,0,0,1,0,0] [3,4,1,6,5,2,7]=>{{1,3},{2,4,6},{5},{7}}=>[3,4,1,6,5,2,7]=>[1,1,1,0,1,0,0,1,1,0,0,0,1,0] [3,4,1,6,5,7,2]=>{{1,3},{2,4,6,7},{5}}=>[3,4,1,6,5,7,2]=>[1,1,1,0,1,0,0,1,1,0,0,1,0,0] [3,4,1,6,7,2,5]=>{{1,3},{2,4,6},{5,7}}=>[3,4,1,6,7,2,5]=>[1,1,1,0,1,0,0,1,1,0,1,0,0,0] [3,4,1,6,7,5,2]=>{{1,3},{2,4,6},{5,7}}=>[3,4,1,6,7,2,5]=>[1,1,1,0,1,0,0,1,1,0,1,0,0,0] [3,4,1,7,2,5,6]=>{{1,3},{2,4,7},{5},{6}}=>[3,4,1,7,5,6,2]=>[1,1,1,0,1,0,0,1,1,1,0,0,0,0] [3,4,1,7,2,6,5]=>{{1,3},{2,4,7},{5},{6}}=>[3,4,1,7,5,6,2]=>[1,1,1,0,1,0,0,1,1,1,0,0,0,0] [3,4,1,7,5,2,6]=>{{1,3},{2,4,7},{5},{6}}=>[3,4,1,7,5,6,2]=>[1,1,1,0,1,0,0,1,1,1,0,0,0,0] [3,4,1,7,5,6,2]=>{{1,3},{2,4,7},{5},{6}}=>[3,4,1,7,5,6,2]=>[1,1,1,0,1,0,0,1,1,1,0,0,0,0] [3,4,1,7,6,2,5]=>{{1,3},{2,4,7},{5,6}}=>[3,4,1,7,6,5,2]=>[1,1,1,0,1,0,0,1,1,1,0,0,0,0] [3,4,1,7,6,5,2]=>{{1,3},{2,4,7},{5,6}}=>[3,4,1,7,6,5,2]=>[1,1,1,0,1,0,0,1,1,1,0,0,0,0] [3,4,2,1,5,6,7]=>{{1,3},{2,4},{5},{6},{7}}=>[3,4,1,2,5,6,7]=>[1,1,1,0,1,0,0,0,1,0,1,0,1,0] [3,4,2,1,5,7,6]=>{{1,3},{2,4},{5},{6,7}}=>[3,4,1,2,5,7,6]=>[1,1,1,0,1,0,0,0,1,0,1,1,0,0] [3,4,2,1,6,5,7]=>{{1,3},{2,4},{5,6},{7}}=>[3,4,1,2,6,5,7]=>[1,1,1,0,1,0,0,0,1,1,0,0,1,0] [3,4,2,1,6,7,5]=>{{1,3},{2,4},{5,6,7}}=>[3,4,1,2,6,7,5]=>[1,1,1,0,1,0,0,0,1,1,0,1,0,0] [3,4,2,1,7,5,6]=>{{1,3},{2,4},{5,7},{6}}=>[3,4,1,2,7,6,5]=>[1,1,1,0,1,0,0,0,1,1,1,0,0,0] [3,4,2,1,7,6,5]=>{{1,3},{2,4},{5,7},{6}}=>[3,4,1,2,7,6,5]=>[1,1,1,0,1,0,0,0,1,1,1,0,0,0] [3,4,2,5,1,6,7]=>{{1,3},{2,4,5},{6},{7}}=>[3,4,1,5,2,6,7]=>[1,1,1,0,1,0,0,1,0,0,1,0,1,0] [3,4,2,5,1,7,6]=>{{1,3},{2,4,5},{6,7}}=>[3,4,1,5,2,7,6]=>[1,1,1,0,1,0,0,1,0,0,1,1,0,0] [3,4,2,5,6,1,7]=>{{1,3},{2,4,5,6},{7}}=>[3,4,1,5,6,2,7]=>[1,1,1,0,1,0,0,1,0,1,0,0,1,0] [3,4,2,5,6,7,1]=>{{1,3},{2,4,5,6,7}}=>[3,4,1,5,6,7,2]=>[1,1,1,0,1,0,0,1,0,1,0,1,0,0] [3,4,2,5,7,1,6]=>{{1,3},{2,4,5,7},{6}}=>[3,4,1,5,7,6,2]=>[1,1,1,0,1,0,0,1,0,1,1,0,0,0] [3,4,2,5,7,6,1]=>{{1,3},{2,4,5,7},{6}}=>[3,4,1,5,7,6,2]=>[1,1,1,0,1,0,0,1,0,1,1,0,0,0] [3,4,2,6,1,5,7]=>{{1,3},{2,4,6},{5},{7}}=>[3,4,1,6,5,2,7]=>[1,1,1,0,1,0,0,1,1,0,0,0,1,0] [3,4,2,6,1,7,5]=>{{1,3},{2,4,6,7},{5}}=>[3,4,1,6,5,7,2]=>[1,1,1,0,1,0,0,1,1,0,0,1,0,0] [3,4,2,6,5,1,7]=>{{1,3},{2,4,6},{5},{7}}=>[3,4,1,6,5,2,7]=>[1,1,1,0,1,0,0,1,1,0,0,0,1,0] [3,4,2,6,5,7,1]=>{{1,3},{2,4,6,7},{5}}=>[3,4,1,6,5,7,2]=>[1,1,1,0,1,0,0,1,1,0,0,1,0,0] [3,4,2,6,7,1,5]=>{{1,3},{2,4,6},{5,7}}=>[3,4,1,6,7,2,5]=>[1,1,1,0,1,0,0,1,1,0,1,0,0,0] [3,4,2,6,7,5,1]=>{{1,3},{2,4,6},{5,7}}=>[3,4,1,6,7,2,5]=>[1,1,1,0,1,0,0,1,1,0,1,0,0,0] [3,4,2,7,1,5,6]=>{{1,3},{2,4,7},{5},{6}}=>[3,4,1,7,5,6,2]=>[1,1,1,0,1,0,0,1,1,1,0,0,0,0] [3,4,2,7,1,6,5]=>{{1,3},{2,4,7},{5},{6}}=>[3,4,1,7,5,6,2]=>[1,1,1,0,1,0,0,1,1,1,0,0,0,0] [3,4,2,7,5,1,6]=>{{1,3},{2,4,7},{5},{6}}=>[3,4,1,7,5,6,2]=>[1,1,1,0,1,0,0,1,1,1,0,0,0,0] [3,4,2,7,5,6,1]=>{{1,3},{2,4,7},{5},{6}}=>[3,4,1,7,5,6,2]=>[1,1,1,0,1,0,0,1,1,1,0,0,0,0] [3,4,2,7,6,1,5]=>{{1,3},{2,4,7},{5,6}}=>[3,4,1,7,6,5,2]=>[1,1,1,0,1,0,0,1,1,1,0,0,0,0] [3,4,2,7,6,5,1]=>{{1,3},{2,4,7},{5,6}}=>[3,4,1,7,6,5,2]=>[1,1,1,0,1,0,0,1,1,1,0,0,0,0] [3,4,5,1,2,6,7]=>{{1,3,5},{2,4},{6},{7}}=>[3,4,5,2,1,6,7]=>[1,1,1,0,1,0,1,0,0,0,1,0,1,0] [3,4,5,1,2,7,6]=>{{1,3,5},{2,4},{6,7}}=>[3,4,5,2,1,7,6]=>[1,1,1,0,1,0,1,0,0,0,1,1,0,0] [3,4,5,1,6,2,7]=>{{1,3,5,6},{2,4},{7}}=>[3,4,5,2,6,1,7]=>[1,1,1,0,1,0,1,0,0,1,0,0,1,0] [3,4,5,1,6,7,2]=>{{1,3,5,6,7},{2,4}}=>[3,4,5,2,6,7,1]=>[1,1,1,0,1,0,1,0,0,1,0,1,0,0] [3,4,5,1,7,2,6]=>{{1,3,5,7},{2,4},{6}}=>[3,4,5,2,7,6,1]=>[1,1,1,0,1,0,1,0,0,1,1,0,0,0] [3,4,5,1,7,6,2]=>{{1,3,5,7},{2,4},{6}}=>[3,4,5,2,7,6,1]=>[1,1,1,0,1,0,1,0,0,1,1,0,0,0] [3,4,5,2,1,6,7]=>{{1,3,5},{2,4},{6},{7}}=>[3,4,5,2,1,6,7]=>[1,1,1,0,1,0,1,0,0,0,1,0,1,0] [3,4,5,2,1,7,6]=>{{1,3,5},{2,4},{6,7}}=>[3,4,5,2,1,7,6]=>[1,1,1,0,1,0,1,0,0,0,1,1,0,0] [3,4,5,2,6,1,7]=>{{1,3,5,6},{2,4},{7}}=>[3,4,5,2,6,1,7]=>[1,1,1,0,1,0,1,0,0,1,0,0,1,0] [3,4,5,2,6,7,1]=>{{1,3,5,6,7},{2,4}}=>[3,4,5,2,6,7,1]=>[1,1,1,0,1,0,1,0,0,1,0,1,0,0] [3,4,5,2,7,1,6]=>{{1,3,5,7},{2,4},{6}}=>[3,4,5,2,7,6,1]=>[1,1,1,0,1,0,1,0,0,1,1,0,0,0] [3,4,5,2,7,6,1]=>{{1,3,5,7},{2,4},{6}}=>[3,4,5,2,7,6,1]=>[1,1,1,0,1,0,1,0,0,1,1,0,0,0] [3,4,5,6,1,2,7]=>{{1,3,5},{2,4,6},{7}}=>[3,4,5,6,1,2,7]=>[1,1,1,0,1,0,1,0,1,0,0,0,1,0] [3,4,5,6,1,7,2]=>{{1,3,5},{2,4,6,7}}=>[3,4,5,6,1,7,2]=>[1,1,1,0,1,0,1,0,1,0,0,1,0,0] [3,4,5,6,2,1,7]=>{{1,3,5},{2,4,6},{7}}=>[3,4,5,6,1,2,7]=>[1,1,1,0,1,0,1,0,1,0,0,0,1,0] [3,4,5,6,2,7,1]=>{{1,3,5},{2,4,6,7}}=>[3,4,5,6,1,7,2]=>[1,1,1,0,1,0,1,0,1,0,0,1,0,0] [3,4,5,6,7,1,2]=>{{1,3,5,7},{2,4,6}}=>[3,4,5,6,7,2,1]=>[1,1,1,0,1,0,1,0,1,0,1,0,0,0] [3,4,5,6,7,2,1]=>{{1,3,5,7},{2,4,6}}=>[3,4,5,6,7,2,1]=>[1,1,1,0,1,0,1,0,1,0,1,0,0,0] [3,4,5,7,1,2,6]=>{{1,3,5},{2,4,7},{6}}=>[3,4,5,7,1,6,2]=>[1,1,1,0,1,0,1,0,1,1,0,0,0,0] [3,4,5,7,1,6,2]=>{{1,3,5},{2,4,7},{6}}=>[3,4,5,7,1,6,2]=>[1,1,1,0,1,0,1,0,1,1,0,0,0,0] [3,4,5,7,2,1,6]=>{{1,3,5},{2,4,7},{6}}=>[3,4,5,7,1,6,2]=>[1,1,1,0,1,0,1,0,1,1,0,0,0,0] [3,4,5,7,2,6,1]=>{{1,3,5},{2,4,7},{6}}=>[3,4,5,7,1,6,2]=>[1,1,1,0,1,0,1,0,1,1,0,0,0,0] [3,4,5,7,6,1,2]=>{{1,3,5,6},{2,4,7}}=>[3,4,5,7,6,1,2]=>[1,1,1,0,1,0,1,0,1,1,0,0,0,0] [3,4,5,7,6,2,1]=>{{1,3,5,6},{2,4,7}}=>[3,4,5,7,6,1,2]=>[1,1,1,0,1,0,1,0,1,1,0,0,0,0] [3,4,6,1,2,5,7]=>{{1,3,6},{2,4},{5},{7}}=>[3,4,6,2,5,1,7]=>[1,1,1,0,1,0,1,1,0,0,0,0,1,0] [3,4,6,1,2,7,5]=>{{1,3,6,7},{2,4},{5}}=>[3,4,6,2,5,7,1]=>[1,1,1,0,1,0,1,1,0,0,0,1,0,0] [3,4,6,1,5,2,7]=>{{1,3,6},{2,4},{5},{7}}=>[3,4,6,2,5,1,7]=>[1,1,1,0,1,0,1,1,0,0,0,0,1,0] [3,4,6,1,5,7,2]=>{{1,3,6,7},{2,4},{5}}=>[3,4,6,2,5,7,1]=>[1,1,1,0,1,0,1,1,0,0,0,1,0,0] [3,4,6,1,7,2,5]=>{{1,3,6},{2,4},{5,7}}=>[3,4,6,2,7,1,5]=>[1,1,1,0,1,0,1,1,0,0,1,0,0,0] [3,4,6,1,7,5,2]=>{{1,3,6},{2,4},{5,7}}=>[3,4,6,2,7,1,5]=>[1,1,1,0,1,0,1,1,0,0,1,0,0,0] [3,4,6,2,1,5,7]=>{{1,3,6},{2,4},{5},{7}}=>[3,4,6,2,5,1,7]=>[1,1,1,0,1,0,1,1,0,0,0,0,1,0] [3,4,6,2,1,7,5]=>{{1,3,6,7},{2,4},{5}}=>[3,4,6,2,5,7,1]=>[1,1,1,0,1,0,1,1,0,0,0,1,0,0] [3,4,6,2,5,1,7]=>{{1,3,6},{2,4},{5},{7}}=>[3,4,6,2,5,1,7]=>[1,1,1,0,1,0,1,1,0,0,0,0,1,0] [3,4,6,2,5,7,1]=>{{1,3,6,7},{2,4},{5}}=>[3,4,6,2,5,7,1]=>[1,1,1,0,1,0,1,1,0,0,0,1,0,0] [3,4,6,2,7,1,5]=>{{1,3,6},{2,4},{5,7}}=>[3,4,6,2,7,1,5]=>[1,1,1,0,1,0,1,1,0,0,1,0,0,0] [3,4,6,2,7,5,1]=>{{1,3,6},{2,4},{5,7}}=>[3,4,6,2,7,1,5]=>[1,1,1,0,1,0,1,1,0,0,1,0,0,0] [3,4,6,5,1,2,7]=>{{1,3,6},{2,4,5},{7}}=>[3,4,6,5,2,1,7]=>[1,1,1,0,1,0,1,1,0,0,0,0,1,0] [3,4,6,5,1,7,2]=>{{1,3,6,7},{2,4,5}}=>[3,4,6,5,2,7,1]=>[1,1,1,0,1,0,1,1,0,0,0,1,0,0] [3,4,6,5,2,1,7]=>{{1,3,6},{2,4,5},{7}}=>[3,4,6,5,2,1,7]=>[1,1,1,0,1,0,1,1,0,0,0,0,1,0] [3,4,6,5,2,7,1]=>{{1,3,6,7},{2,4,5}}=>[3,4,6,5,2,7,1]=>[1,1,1,0,1,0,1,1,0,0,0,1,0,0] [3,4,6,5,7,1,2]=>{{1,3,6},{2,4,5,7}}=>[3,4,6,5,7,1,2]=>[1,1,1,0,1,0,1,1,0,0,1,0,0,0] [3,4,6,5,7,2,1]=>{{1,3,6},{2,4,5,7}}=>[3,4,6,5,7,1,2]=>[1,1,1,0,1,0,1,1,0,0,1,0,0,0] [3,4,6,7,1,2,5]=>{{1,3,6},{2,4,7},{5}}=>[3,4,6,7,5,1,2]=>[1,1,1,0,1,0,1,1,0,1,0,0,0,0] [3,4,6,7,1,5,2]=>{{1,3,6},{2,4,7},{5}}=>[3,4,6,7,5,1,2]=>[1,1,1,0,1,0,1,1,0,1,0,0,0,0] [3,4,6,7,2,1,5]=>{{1,3,6},{2,4,7},{5}}=>[3,4,6,7,5,1,2]=>[1,1,1,0,1,0,1,1,0,1,0,0,0,0] [3,4,6,7,2,5,1]=>{{1,3,6},{2,4,7},{5}}=>[3,4,6,7,5,1,2]=>[1,1,1,0,1,0,1,1,0,1,0,0,0,0] [3,4,6,7,5,1,2]=>{{1,3,6},{2,4,7},{5}}=>[3,4,6,7,5,1,2]=>[1,1,1,0,1,0,1,1,0,1,0,0,0,0] [3,4,6,7,5,2,1]=>{{1,3,6},{2,4,7},{5}}=>[3,4,6,7,5,1,2]=>[1,1,1,0,1,0,1,1,0,1,0,0,0,0] [3,4,7,1,2,5,6]=>{{1,3,7},{2,4},{5},{6}}=>[3,4,7,2,5,6,1]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0] [3,4,7,1,2,6,5]=>{{1,3,7},{2,4},{5},{6}}=>[3,4,7,2,5,6,1]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0] [3,4,7,1,5,2,6]=>{{1,3,7},{2,4},{5},{6}}=>[3,4,7,2,5,6,1]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0] [3,4,7,1,5,6,2]=>{{1,3,7},{2,4},{5},{6}}=>[3,4,7,2,5,6,1]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0] [3,4,7,1,6,2,5]=>{{1,3,7},{2,4},{5,6}}=>[3,4,7,2,6,5,1]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0] [3,4,7,1,6,5,2]=>{{1,3,7},{2,4},{5,6}}=>[3,4,7,2,6,5,1]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0] [3,4,7,2,1,5,6]=>{{1,3,7},{2,4},{5},{6}}=>[3,4,7,2,5,6,1]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0] [3,4,7,2,1,6,5]=>{{1,3,7},{2,4},{5},{6}}=>[3,4,7,2,5,6,1]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0] [3,4,7,2,5,1,6]=>{{1,3,7},{2,4},{5},{6}}=>[3,4,7,2,5,6,1]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0] [3,4,7,2,5,6,1]=>{{1,3,7},{2,4},{5},{6}}=>[3,4,7,2,5,6,1]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0] [3,4,7,2,6,1,5]=>{{1,3,7},{2,4},{5,6}}=>[3,4,7,2,6,5,1]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0] [3,4,7,2,6,5,1]=>{{1,3,7},{2,4},{5,6}}=>[3,4,7,2,6,5,1]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0] [3,4,7,5,1,2,6]=>{{1,3,7},{2,4,5},{6}}=>[3,4,7,5,2,6,1]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0] [3,4,7,5,1,6,2]=>{{1,3,7},{2,4,5},{6}}=>[3,4,7,5,2,6,1]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0] [3,4,7,5,2,1,6]=>{{1,3,7},{2,4,5},{6}}=>[3,4,7,5,2,6,1]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0] [3,4,7,5,2,6,1]=>{{1,3,7},{2,4,5},{6}}=>[3,4,7,5,2,6,1]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0] [3,4,7,5,6,1,2]=>{{1,3,7},{2,4,5,6}}=>[3,4,7,5,6,2,1]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0] [3,4,7,5,6,2,1]=>{{1,3,7},{2,4,5,6}}=>[3,4,7,5,6,2,1]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0] [3,4,7,6,1,2,5]=>{{1,3,7},{2,4,6},{5}}=>[3,4,7,6,5,2,1]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0] [3,4,7,6,1,5,2]=>{{1,3,7},{2,4,6},{5}}=>[3,4,7,6,5,2,1]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0] [3,4,7,6,2,1,5]=>{{1,3,7},{2,4,6},{5}}=>[3,4,7,6,5,2,1]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0] [3,4,7,6,2,5,1]=>{{1,3,7},{2,4,6},{5}}=>[3,4,7,6,5,2,1]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0] [3,4,7,6,5,1,2]=>{{1,3,7},{2,4,6},{5}}=>[3,4,7,6,5,2,1]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0] [3,4,7,6,5,2,1]=>{{1,3,7},{2,4,6},{5}}=>[3,4,7,6,5,2,1]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0] [3,5,1,2,4,6,7]=>{{1,3},{2,5},{4},{6},{7}}=>[3,5,1,4,2,6,7]=>[1,1,1,0,1,1,0,0,0,0,1,0,1,0] [3,5,1,2,4,7,6]=>{{1,3},{2,5},{4},{6,7}}=>[3,5,1,4,2,7,6]=>[1,1,1,0,1,1,0,0,0,0,1,1,0,0] [3,5,1,2,6,4,7]=>{{1,3},{2,5,6},{4},{7}}=>[3,5,1,4,6,2,7]=>[1,1,1,0,1,1,0,0,0,1,0,0,1,0] [3,5,1,2,6,7,4]=>{{1,3},{2,5,6,7},{4}}=>[3,5,1,4,6,7,2]=>[1,1,1,0,1,1,0,0,0,1,0,1,0,0] [3,5,1,2,7,4,6]=>{{1,3},{2,5,7},{4},{6}}=>[3,5,1,4,7,6,2]=>[1,1,1,0,1,1,0,0,0,1,1,0,0,0] [3,5,1,2,7,6,4]=>{{1,3},{2,5,7},{4},{6}}=>[3,5,1,4,7,6,2]=>[1,1,1,0,1,1,0,0,0,1,1,0,0,0] [3,5,1,4,2,6,7]=>{{1,3},{2,5},{4},{6},{7}}=>[3,5,1,4,2,6,7]=>[1,1,1,0,1,1,0,0,0,0,1,0,1,0] [3,5,1,4,2,7,6]=>{{1,3},{2,5},{4},{6,7}}=>[3,5,1,4,2,7,6]=>[1,1,1,0,1,1,0,0,0,0,1,1,0,0] [3,5,1,4,6,2,7]=>{{1,3},{2,5,6},{4},{7}}=>[3,5,1,4,6,2,7]=>[1,1,1,0,1,1,0,0,0,1,0,0,1,0] [3,5,1,4,6,7,2]=>{{1,3},{2,5,6,7},{4}}=>[3,5,1,4,6,7,2]=>[1,1,1,0,1,1,0,0,0,1,0,1,0,0] [3,5,1,4,7,2,6]=>{{1,3},{2,5,7},{4},{6}}=>[3,5,1,4,7,6,2]=>[1,1,1,0,1,1,0,0,0,1,1,0,0,0] [3,5,1,4,7,6,2]=>{{1,3},{2,5,7},{4},{6}}=>[3,5,1,4,7,6,2]=>[1,1,1,0,1,1,0,0,0,1,1,0,0,0] [3,5,1,6,2,4,7]=>{{1,3},{2,5},{4,6},{7}}=>[3,5,1,6,2,4,7]=>[1,1,1,0,1,1,0,0,1,0,0,0,1,0] [3,5,1,6,2,7,4]=>{{1,3},{2,5},{4,6,7}}=>[3,5,1,6,2,7,4]=>[1,1,1,0,1,1,0,0,1,0,0,1,0,0] [3,5,1,6,4,2,7]=>{{1,3},{2,5},{4,6},{7}}=>[3,5,1,6,2,4,7]=>[1,1,1,0,1,1,0,0,1,0,0,0,1,0] [3,5,1,6,4,7,2]=>{{1,3},{2,5},{4,6,7}}=>[3,5,1,6,2,7,4]=>[1,1,1,0,1,1,0,0,1,0,0,1,0,0] [3,5,1,6,7,2,4]=>{{1,3},{2,5,7},{4,6}}=>[3,5,1,6,7,4,2]=>[1,1,1,0,1,1,0,0,1,0,1,0,0,0] [3,5,1,6,7,4,2]=>{{1,3},{2,5,7},{4,6}}=>[3,5,1,6,7,4,2]=>[1,1,1,0,1,1,0,0,1,0,1,0,0,0] [3,5,1,7,2,4,6]=>{{1,3},{2,5},{4,7},{6}}=>[3,5,1,7,2,6,4]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0] [3,5,1,7,2,6,4]=>{{1,3},{2,5},{4,7},{6}}=>[3,5,1,7,2,6,4]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0] [3,5,1,7,4,2,6]=>{{1,3},{2,5},{4,7},{6}}=>[3,5,1,7,2,6,4]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0] [3,5,1,7,4,6,2]=>{{1,3},{2,5},{4,7},{6}}=>[3,5,1,7,2,6,4]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0] [3,5,1,7,6,2,4]=>{{1,3},{2,5,6},{4,7}}=>[3,5,1,7,6,2,4]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0] [3,5,1,7,6,4,2]=>{{1,3},{2,5,6},{4,7}}=>[3,5,1,7,6,2,4]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0] [3,5,2,1,4,6,7]=>{{1,3},{2,5},{4},{6},{7}}=>[3,5,1,4,2,6,7]=>[1,1,1,0,1,1,0,0,0,0,1,0,1,0] [3,5,2,1,4,7,6]=>{{1,3},{2,5},{4},{6,7}}=>[3,5,1,4,2,7,6]=>[1,1,1,0,1,1,0,0,0,0,1,1,0,0] [3,5,2,1,6,4,7]=>{{1,3},{2,5,6},{4},{7}}=>[3,5,1,4,6,2,7]=>[1,1,1,0,1,1,0,0,0,1,0,0,1,0] [3,5,2,1,6,7,4]=>{{1,3},{2,5,6,7},{4}}=>[3,5,1,4,6,7,2]=>[1,1,1,0,1,1,0,0,0,1,0,1,0,0] [3,5,2,1,7,4,6]=>{{1,3},{2,5,7},{4},{6}}=>[3,5,1,4,7,6,2]=>[1,1,1,0,1,1,0,0,0,1,1,0,0,0] [3,5,2,1,7,6,4]=>{{1,3},{2,5,7},{4},{6}}=>[3,5,1,4,7,6,2]=>[1,1,1,0,1,1,0,0,0,1,1,0,0,0] [3,5,2,4,1,6,7]=>{{1,3},{2,5},{4},{6},{7}}=>[3,5,1,4,2,6,7]=>[1,1,1,0,1,1,0,0,0,0,1,0,1,0] [3,5,2,4,1,7,6]=>{{1,3},{2,5},{4},{6,7}}=>[3,5,1,4,2,7,6]=>[1,1,1,0,1,1,0,0,0,0,1,1,0,0] [3,5,2,4,6,1,7]=>{{1,3},{2,5,6},{4},{7}}=>[3,5,1,4,6,2,7]=>[1,1,1,0,1,1,0,0,0,1,0,0,1,0] [3,5,2,4,6,7,1]=>{{1,3},{2,5,6,7},{4}}=>[3,5,1,4,6,7,2]=>[1,1,1,0,1,1,0,0,0,1,0,1,0,0] [3,5,2,4,7,1,6]=>{{1,3},{2,5,7},{4},{6}}=>[3,5,1,4,7,6,2]=>[1,1,1,0,1,1,0,0,0,1,1,0,0,0] [3,5,2,4,7,6,1]=>{{1,3},{2,5,7},{4},{6}}=>[3,5,1,4,7,6,2]=>[1,1,1,0,1,1,0,0,0,1,1,0,0,0] [3,5,2,6,1,4,7]=>{{1,3},{2,5},{4,6},{7}}=>[3,5,1,6,2,4,7]=>[1,1,1,0,1,1,0,0,1,0,0,0,1,0] [3,5,2,6,1,7,4]=>{{1,3},{2,5},{4,6,7}}=>[3,5,1,6,2,7,4]=>[1,1,1,0,1,1,0,0,1,0,0,1,0,0] [3,5,2,6,4,1,7]=>{{1,3},{2,5},{4,6},{7}}=>[3,5,1,6,2,4,7]=>[1,1,1,0,1,1,0,0,1,0,0,0,1,0] [3,5,2,6,4,7,1]=>{{1,3},{2,5},{4,6,7}}=>[3,5,1,6,2,7,4]=>[1,1,1,0,1,1,0,0,1,0,0,1,0,0] [3,5,2,6,7,1,4]=>{{1,3},{2,5,7},{4,6}}=>[3,5,1,6,7,4,2]=>[1,1,1,0,1,1,0,0,1,0,1,0,0,0] [3,5,2,6,7,4,1]=>{{1,3},{2,5,7},{4,6}}=>[3,5,1,6,7,4,2]=>[1,1,1,0,1,1,0,0,1,0,1,0,0,0] [3,5,2,7,1,4,6]=>{{1,3},{2,5},{4,7},{6}}=>[3,5,1,7,2,6,4]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0] [3,5,2,7,1,6,4]=>{{1,3},{2,5},{4,7},{6}}=>[3,5,1,7,2,6,4]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0] [3,5,2,7,4,1,6]=>{{1,3},{2,5},{4,7},{6}}=>[3,5,1,7,2,6,4]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0] [3,5,2,7,4,6,1]=>{{1,3},{2,5},{4,7},{6}}=>[3,5,1,7,2,6,4]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0] [3,5,2,7,6,1,4]=>{{1,3},{2,5,6},{4,7}}=>[3,5,1,7,6,2,4]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0] [3,5,2,7,6,4,1]=>{{1,3},{2,5,6},{4,7}}=>[3,5,1,7,6,2,4]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0] [3,5,4,1,2,6,7]=>{{1,3,4},{2,5},{6},{7}}=>[3,5,4,1,2,6,7]=>[1,1,1,0,1,1,0,0,0,0,1,0,1,0] [3,5,4,1,2,7,6]=>{{1,3,4},{2,5},{6,7}}=>[3,5,4,1,2,7,6]=>[1,1,1,0,1,1,0,0,0,0,1,1,0,0] [3,5,4,1,6,2,7]=>{{1,3,4},{2,5,6},{7}}=>[3,5,4,1,6,2,7]=>[1,1,1,0,1,1,0,0,0,1,0,0,1,0] [3,5,4,1,6,7,2]=>{{1,3,4},{2,5,6,7}}=>[3,5,4,1,6,7,2]=>[1,1,1,0,1,1,0,0,0,1,0,1,0,0] [3,5,4,1,7,2,6]=>{{1,3,4},{2,5,7},{6}}=>[3,5,4,1,7,6,2]=>[1,1,1,0,1,1,0,0,0,1,1,0,0,0] [3,5,4,1,7,6,2]=>{{1,3,4},{2,5,7},{6}}=>[3,5,4,1,7,6,2]=>[1,1,1,0,1,1,0,0,0,1,1,0,0,0] [3,5,4,2,1,6,7]=>{{1,3,4},{2,5},{6},{7}}=>[3,5,4,1,2,6,7]=>[1,1,1,0,1,1,0,0,0,0,1,0,1,0] [3,5,4,2,1,7,6]=>{{1,3,4},{2,5},{6,7}}=>[3,5,4,1,2,7,6]=>[1,1,1,0,1,1,0,0,0,0,1,1,0,0] [3,5,4,2,6,1,7]=>{{1,3,4},{2,5,6},{7}}=>[3,5,4,1,6,2,7]=>[1,1,1,0,1,1,0,0,0,1,0,0,1,0] [3,5,4,2,6,7,1]=>{{1,3,4},{2,5,6,7}}=>[3,5,4,1,6,7,2]=>[1,1,1,0,1,1,0,0,0,1,0,1,0,0] [3,5,4,2,7,1,6]=>{{1,3,4},{2,5,7},{6}}=>[3,5,4,1,7,6,2]=>[1,1,1,0,1,1,0,0,0,1,1,0,0,0] [3,5,4,2,7,6,1]=>{{1,3,4},{2,5,7},{6}}=>[3,5,4,1,7,6,2]=>[1,1,1,0,1,1,0,0,0,1,1,0,0,0] [3,5,4,6,1,2,7]=>{{1,3,4,6},{2,5},{7}}=>[3,5,4,6,2,1,7]=>[1,1,1,0,1,1,0,0,1,0,0,0,1,0] [3,5,4,6,1,7,2]=>{{1,3,4,6,7},{2,5}}=>[3,5,4,6,2,7,1]=>[1,1,1,0,1,1,0,0,1,0,0,1,0,0] [3,5,4,6,2,1,7]=>{{1,3,4,6},{2,5},{7}}=>[3,5,4,6,2,1,7]=>[1,1,1,0,1,1,0,0,1,0,0,0,1,0] [3,5,4,6,2,7,1]=>{{1,3,4,6,7},{2,5}}=>[3,5,4,6,2,7,1]=>[1,1,1,0,1,1,0,0,1,0,0,1,0,0] [3,5,4,6,7,1,2]=>{{1,3,4,6},{2,5,7}}=>[3,5,4,6,7,1,2]=>[1,1,1,0,1,1,0,0,1,0,1,0,0,0] [3,5,4,6,7,2,1]=>{{1,3,4,6},{2,5,7}}=>[3,5,4,6,7,1,2]=>[1,1,1,0,1,1,0,0,1,0,1,0,0,0] [3,5,4,7,1,2,6]=>{{1,3,4,7},{2,5},{6}}=>[3,5,4,7,2,6,1]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0] [3,5,4,7,1,6,2]=>{{1,3,4,7},{2,5},{6}}=>[3,5,4,7,2,6,1]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0] [3,5,4,7,2,1,6]=>{{1,3,4,7},{2,5},{6}}=>[3,5,4,7,2,6,1]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0] [3,5,4,7,2,6,1]=>{{1,3,4,7},{2,5},{6}}=>[3,5,4,7,2,6,1]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0] [3,5,4,7,6,1,2]=>{{1,3,4,7},{2,5,6}}=>[3,5,4,7,6,2,1]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0] [3,5,4,7,6,2,1]=>{{1,3,4,7},{2,5,6}}=>[3,5,4,7,6,2,1]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0] [3,5,6,1,2,4,7]=>{{1,3,6},{2,5},{4},{7}}=>[3,5,6,4,2,1,7]=>[1,1,1,0,1,1,0,1,0,0,0,0,1,0] [3,5,6,1,2,7,4]=>{{1,3,6,7},{2,5},{4}}=>[3,5,6,4,2,7,1]=>[1,1,1,0,1,1,0,1,0,0,0,1,0,0] [3,5,6,1,4,2,7]=>{{1,3,6},{2,5},{4},{7}}=>[3,5,6,4,2,1,7]=>[1,1,1,0,1,1,0,1,0,0,0,0,1,0] [3,5,6,1,4,7,2]=>{{1,3,6,7},{2,5},{4}}=>[3,5,6,4,2,7,1]=>[1,1,1,0,1,1,0,1,0,0,0,1,0,0] [3,5,6,1,7,2,4]=>{{1,3,6},{2,5,7},{4}}=>[3,5,6,4,7,1,2]=>[1,1,1,0,1,1,0,1,0,0,1,0,0,0] [3,5,6,1,7,4,2]=>{{1,3,6},{2,5,7},{4}}=>[3,5,6,4,7,1,2]=>[1,1,1,0,1,1,0,1,0,0,1,0,0,0] [3,5,6,2,1,4,7]=>{{1,3,6},{2,5},{4},{7}}=>[3,5,6,4,2,1,7]=>[1,1,1,0,1,1,0,1,0,0,0,0,1,0] [3,5,6,2,1,7,4]=>{{1,3,6,7},{2,5},{4}}=>[3,5,6,4,2,7,1]=>[1,1,1,0,1,1,0,1,0,0,0,1,0,0] [3,5,6,2,4,1,7]=>{{1,3,6},{2,5},{4},{7}}=>[3,5,6,4,2,1,7]=>[1,1,1,0,1,1,0,1,0,0,0,0,1,0] [3,5,6,2,4,7,1]=>{{1,3,6,7},{2,5},{4}}=>[3,5,6,4,2,7,1]=>[1,1,1,0,1,1,0,1,0,0,0,1,0,0] [3,5,6,2,7,1,4]=>{{1,3,6},{2,5,7},{4}}=>[3,5,6,4,7,1,2]=>[1,1,1,0,1,1,0,1,0,0,1,0,0,0] [3,5,6,2,7,4,1]=>{{1,3,6},{2,5,7},{4}}=>[3,5,6,4,7,1,2]=>[1,1,1,0,1,1,0,1,0,0,1,0,0,0] [3,5,6,4,1,2,7]=>{{1,3,6},{2,5},{4},{7}}=>[3,5,6,4,2,1,7]=>[1,1,1,0,1,1,0,1,0,0,0,0,1,0] [3,5,6,4,1,7,2]=>{{1,3,6,7},{2,5},{4}}=>[3,5,6,4,2,7,1]=>[1,1,1,0,1,1,0,1,0,0,0,1,0,0] [3,5,6,4,2,1,7]=>{{1,3,6},{2,5},{4},{7}}=>[3,5,6,4,2,1,7]=>[1,1,1,0,1,1,0,1,0,0,0,0,1,0] [3,5,6,4,2,7,1]=>{{1,3,6,7},{2,5},{4}}=>[3,5,6,4,2,7,1]=>[1,1,1,0,1,1,0,1,0,0,0,1,0,0] [3,5,6,4,7,1,2]=>{{1,3,6},{2,5,7},{4}}=>[3,5,6,4,7,1,2]=>[1,1,1,0,1,1,0,1,0,0,1,0,0,0] [3,5,6,4,7,2,1]=>{{1,3,6},{2,5,7},{4}}=>[3,5,6,4,7,1,2]=>[1,1,1,0,1,1,0,1,0,0,1,0,0,0] [3,5,6,7,1,2,4]=>{{1,3,6},{2,5},{4,7}}=>[3,5,6,7,2,1,4]=>[1,1,1,0,1,1,0,1,0,1,0,0,0,0] [3,5,6,7,1,4,2]=>{{1,3,6},{2,5},{4,7}}=>[3,5,6,7,2,1,4]=>[1,1,1,0,1,1,0,1,0,1,0,0,0,0] [3,5,6,7,2,1,4]=>{{1,3,6},{2,5},{4,7}}=>[3,5,6,7,2,1,4]=>[1,1,1,0,1,1,0,1,0,1,0,0,0,0] [3,5,6,7,2,4,1]=>{{1,3,6},{2,5},{4,7}}=>[3,5,6,7,2,1,4]=>[1,1,1,0,1,1,0,1,0,1,0,0,0,0] [3,5,6,7,4,1,2]=>{{1,3,6},{2,5},{4,7}}=>[3,5,6,7,2,1,4]=>[1,1,1,0,1,1,0,1,0,1,0,0,0,0] [3,5,6,7,4,2,1]=>{{1,3,6},{2,5},{4,7}}=>[3,5,6,7,2,1,4]=>[1,1,1,0,1,1,0,1,0,1,0,0,0,0] [3,5,7,1,2,4,6]=>{{1,3,7},{2,5},{4},{6}}=>[3,5,7,4,2,6,1]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0] [3,5,7,1,2,6,4]=>{{1,3,7},{2,5},{4},{6}}=>[3,5,7,4,2,6,1]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0] [3,5,7,1,4,2,6]=>{{1,3,7},{2,5},{4},{6}}=>[3,5,7,4,2,6,1]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0] [3,5,7,1,4,6,2]=>{{1,3,7},{2,5},{4},{6}}=>[3,5,7,4,2,6,1]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0] [3,5,7,1,6,2,4]=>{{1,3,7},{2,5,6},{4}}=>[3,5,7,4,6,2,1]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0] [3,5,7,1,6,4,2]=>{{1,3,7},{2,5,6},{4}}=>[3,5,7,4,6,2,1]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0] [3,5,7,2,1,4,6]=>{{1,3,7},{2,5},{4},{6}}=>[3,5,7,4,2,6,1]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0] [3,5,7,2,1,6,4]=>{{1,3,7},{2,5},{4},{6}}=>[3,5,7,4,2,6,1]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0] [3,5,7,2,4,1,6]=>{{1,3,7},{2,5},{4},{6}}=>[3,5,7,4,2,6,1]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0] [3,5,7,2,4,6,1]=>{{1,3,7},{2,5},{4},{6}}=>[3,5,7,4,2,6,1]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0] [3,5,7,2,6,1,4]=>{{1,3,7},{2,5,6},{4}}=>[3,5,7,4,6,2,1]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0] [3,5,7,2,6,4,1]=>{{1,3,7},{2,5,6},{4}}=>[3,5,7,4,6,2,1]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0] [3,5,7,4,1,2,6]=>{{1,3,7},{2,5},{4},{6}}=>[3,5,7,4,2,6,1]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0] [3,5,7,4,1,6,2]=>{{1,3,7},{2,5},{4},{6}}=>[3,5,7,4,2,6,1]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0] [3,5,7,4,2,1,6]=>{{1,3,7},{2,5},{4},{6}}=>[3,5,7,4,2,6,1]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0] [3,5,7,4,2,6,1]=>{{1,3,7},{2,5},{4},{6}}=>[3,5,7,4,2,6,1]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0] [3,5,7,4,6,1,2]=>{{1,3,7},{2,5,6},{4}}=>[3,5,7,4,6,2,1]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0] [3,5,7,4,6,2,1]=>{{1,3,7},{2,5,6},{4}}=>[3,5,7,4,6,2,1]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0] [3,5,7,6,1,2,4]=>{{1,3,7},{2,5},{4,6}}=>[3,5,7,6,2,4,1]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0] [3,5,7,6,1,4,2]=>{{1,3,7},{2,5},{4,6}}=>[3,5,7,6,2,4,1]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0] [3,5,7,6,2,1,4]=>{{1,3,7},{2,5},{4,6}}=>[3,5,7,6,2,4,1]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0] [3,5,7,6,2,4,1]=>{{1,3,7},{2,5},{4,6}}=>[3,5,7,6,2,4,1]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0] [3,5,7,6,4,1,2]=>{{1,3,7},{2,5},{4,6}}=>[3,5,7,6,2,4,1]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0] [3,5,7,6,4,2,1]=>{{1,3,7},{2,5},{4,6}}=>[3,5,7,6,2,4,1]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0] [3,6,1,2,4,5,7]=>{{1,3},{2,6},{4},{5},{7}}=>[3,6,1,4,5,2,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0] [3,6,1,2,4,7,5]=>{{1,3},{2,6,7},{4},{5}}=>[3,6,1,4,5,7,2]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0] [3,6,1,2,5,4,7]=>{{1,3},{2,6},{4},{5},{7}}=>[3,6,1,4,5,2,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0] [3,6,1,2,5,7,4]=>{{1,3},{2,6,7},{4},{5}}=>[3,6,1,4,5,7,2]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0] [3,6,1,2,7,4,5]=>{{1,3},{2,6},{4},{5,7}}=>[3,6,1,4,7,2,5]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0] [3,6,1,2,7,5,4]=>{{1,3},{2,6},{4},{5,7}}=>[3,6,1,4,7,2,5]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0] [3,6,1,4,2,5,7]=>{{1,3},{2,6},{4},{5},{7}}=>[3,6,1,4,5,2,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0] [3,6,1,4,2,7,5]=>{{1,3},{2,6,7},{4},{5}}=>[3,6,1,4,5,7,2]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0] [3,6,1,4,5,2,7]=>{{1,3},{2,6},{4},{5},{7}}=>[3,6,1,4,5,2,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0] [3,6,1,4,5,7,2]=>{{1,3},{2,6,7},{4},{5}}=>[3,6,1,4,5,7,2]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0] [3,6,1,4,7,2,5]=>{{1,3},{2,6},{4},{5,7}}=>[3,6,1,4,7,2,5]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0] [3,6,1,4,7,5,2]=>{{1,3},{2,6},{4},{5,7}}=>[3,6,1,4,7,2,5]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0] [3,6,1,5,2,4,7]=>{{1,3},{2,6},{4,5},{7}}=>[3,6,1,5,4,2,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0] [3,6,1,5,2,7,4]=>{{1,3},{2,6,7},{4,5}}=>[3,6,1,5,4,7,2]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0] [3,6,1,5,4,2,7]=>{{1,3},{2,6},{4,5},{7}}=>[3,6,1,5,4,2,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0] [3,6,1,5,4,7,2]=>{{1,3},{2,6,7},{4,5}}=>[3,6,1,5,4,7,2]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0] [3,6,1,5,7,2,4]=>{{1,3},{2,6},{4,5,7}}=>[3,6,1,5,7,2,4]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0] [3,6,1,5,7,4,2]=>{{1,3},{2,6},{4,5,7}}=>[3,6,1,5,7,2,4]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0] [3,6,1,7,2,4,5]=>{{1,3},{2,6},{4,7},{5}}=>[3,6,1,7,5,2,4]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0] [3,6,1,7,2,5,4]=>{{1,3},{2,6},{4,7},{5}}=>[3,6,1,7,5,2,4]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0] [3,6,1,7,4,2,5]=>{{1,3},{2,6},{4,7},{5}}=>[3,6,1,7,5,2,4]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0] [3,6,1,7,4,5,2]=>{{1,3},{2,6},{4,7},{5}}=>[3,6,1,7,5,2,4]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0] [3,6,1,7,5,2,4]=>{{1,3},{2,6},{4,7},{5}}=>[3,6,1,7,5,2,4]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0] [3,6,1,7,5,4,2]=>{{1,3},{2,6},{4,7},{5}}=>[3,6,1,7,5,2,4]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0] [3,6,2,1,4,5,7]=>{{1,3},{2,6},{4},{5},{7}}=>[3,6,1,4,5,2,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0] [3,6,2,1,4,7,5]=>{{1,3},{2,6,7},{4},{5}}=>[3,6,1,4,5,7,2]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0] [3,6,2,1,5,4,7]=>{{1,3},{2,6},{4},{5},{7}}=>[3,6,1,4,5,2,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0] [3,6,2,1,5,7,4]=>{{1,3},{2,6,7},{4},{5}}=>[3,6,1,4,5,7,2]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0] [3,6,2,1,7,4,5]=>{{1,3},{2,6},{4},{5,7}}=>[3,6,1,4,7,2,5]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0] [3,6,2,1,7,5,4]=>{{1,3},{2,6},{4},{5,7}}=>[3,6,1,4,7,2,5]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0] [3,6,2,4,1,5,7]=>{{1,3},{2,6},{4},{5},{7}}=>[3,6,1,4,5,2,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0] [3,6,2,4,1,7,5]=>{{1,3},{2,6,7},{4},{5}}=>[3,6,1,4,5,7,2]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0] [3,6,2,4,5,1,7]=>{{1,3},{2,6},{4},{5},{7}}=>[3,6,1,4,5,2,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0] [3,6,2,4,5,7,1]=>{{1,3},{2,6,7},{4},{5}}=>[3,6,1,4,5,7,2]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0] [3,6,2,4,7,1,5]=>{{1,3},{2,6},{4},{5,7}}=>[3,6,1,4,7,2,5]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0] [3,6,2,4,7,5,1]=>{{1,3},{2,6},{4},{5,7}}=>[3,6,1,4,7,2,5]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0] [3,6,2,5,1,4,7]=>{{1,3},{2,6},{4,5},{7}}=>[3,6,1,5,4,2,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0] [3,6,2,5,1,7,4]=>{{1,3},{2,6,7},{4,5}}=>[3,6,1,5,4,7,2]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0] [3,6,2,5,4,1,7]=>{{1,3},{2,6},{4,5},{7}}=>[3,6,1,5,4,2,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0] [3,6,2,5,4,7,1]=>{{1,3},{2,6,7},{4,5}}=>[3,6,1,5,4,7,2]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0] [3,6,2,5,7,1,4]=>{{1,3},{2,6},{4,5,7}}=>[3,6,1,5,7,2,4]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0] [3,6,2,5,7,4,1]=>{{1,3},{2,6},{4,5,7}}=>[3,6,1,5,7,2,4]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0] [3,6,2,7,1,4,5]=>{{1,3},{2,6},{4,7},{5}}=>[3,6,1,7,5,2,4]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0] [3,6,2,7,1,5,4]=>{{1,3},{2,6},{4,7},{5}}=>[3,6,1,7,5,2,4]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0] [3,6,2,7,4,1,5]=>{{1,3},{2,6},{4,7},{5}}=>[3,6,1,7,5,2,4]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0] [3,6,2,7,4,5,1]=>{{1,3},{2,6},{4,7},{5}}=>[3,6,1,7,5,2,4]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0] [3,6,2,7,5,1,4]=>{{1,3},{2,6},{4,7},{5}}=>[3,6,1,7,5,2,4]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0] [3,6,2,7,5,4,1]=>{{1,3},{2,6},{4,7},{5}}=>[3,6,1,7,5,2,4]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0] [3,6,4,1,2,5,7]=>{{1,3,4},{2,6},{5},{7}}=>[3,6,4,1,5,2,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0] [3,6,4,1,2,7,5]=>{{1,3,4},{2,6,7},{5}}=>[3,6,4,1,5,7,2]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0] [3,6,4,1,5,2,7]=>{{1,3,4},{2,6},{5},{7}}=>[3,6,4,1,5,2,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0] [3,6,4,1,5,7,2]=>{{1,3,4},{2,6,7},{5}}=>[3,6,4,1,5,7,2]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0] [3,6,4,1,7,2,5]=>{{1,3,4},{2,6},{5,7}}=>[3,6,4,1,7,2,5]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0] [3,6,4,1,7,5,2]=>{{1,3,4},{2,6},{5,7}}=>[3,6,4,1,7,2,5]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0] [3,6,4,2,1,5,7]=>{{1,3,4},{2,6},{5},{7}}=>[3,6,4,1,5,2,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0] [3,6,4,2,1,7,5]=>{{1,3,4},{2,6,7},{5}}=>[3,6,4,1,5,7,2]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0] [3,6,4,2,5,1,7]=>{{1,3,4},{2,6},{5},{7}}=>[3,6,4,1,5,2,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0] [3,6,4,2,5,7,1]=>{{1,3,4},{2,6,7},{5}}=>[3,6,4,1,5,7,2]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0] [3,6,4,2,7,1,5]=>{{1,3,4},{2,6},{5,7}}=>[3,6,4,1,7,2,5]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0] [3,6,4,2,7,5,1]=>{{1,3,4},{2,6},{5,7}}=>[3,6,4,1,7,2,5]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0] [3,6,4,5,1,2,7]=>{{1,3,4,5},{2,6},{7}}=>[3,6,4,5,1,2,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0] [3,6,4,5,1,7,2]=>{{1,3,4,5},{2,6,7}}=>[3,6,4,5,1,7,2]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0] [3,6,4,5,2,1,7]=>{{1,3,4,5},{2,6},{7}}=>[3,6,4,5,1,2,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0] [3,6,4,5,2,7,1]=>{{1,3,4,5},{2,6,7}}=>[3,6,4,5,1,7,2]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0] [3,6,4,5,7,1,2]=>{{1,3,4,5,7},{2,6}}=>[3,6,4,5,7,2,1]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0] [3,6,4,5,7,2,1]=>{{1,3,4,5,7},{2,6}}=>[3,6,4,5,7,2,1]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0] [3,6,4,7,1,2,5]=>{{1,3,4,7},{2,6},{5}}=>[3,6,4,7,5,2,1]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0] [3,6,4,7,1,5,2]=>{{1,3,4,7},{2,6},{5}}=>[3,6,4,7,5,2,1]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0] [3,6,4,7,2,1,5]=>{{1,3,4,7},{2,6},{5}}=>[3,6,4,7,5,2,1]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0] [3,6,4,7,2,5,1]=>{{1,3,4,7},{2,6},{5}}=>[3,6,4,7,5,2,1]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0] [3,6,4,7,5,1,2]=>{{1,3,4,7},{2,6},{5}}=>[3,6,4,7,5,2,1]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0] [3,6,4,7,5,2,1]=>{{1,3,4,7},{2,6},{5}}=>[3,6,4,7,5,2,1]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0] [3,6,5,1,2,4,7]=>{{1,3,5},{2,6},{4},{7}}=>[3,6,5,4,1,2,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0] [3,6,5,1,2,7,4]=>{{1,3,5},{2,6,7},{4}}=>[3,6,5,4,1,7,2]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0] [3,6,5,1,4,2,7]=>{{1,3,5},{2,6},{4},{7}}=>[3,6,5,4,1,2,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0] [3,6,5,1,4,7,2]=>{{1,3,5},{2,6,7},{4}}=>[3,6,5,4,1,7,2]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0] [3,6,5,1,7,2,4]=>{{1,3,5,7},{2,6},{4}}=>[3,6,5,4,7,2,1]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0] [3,6,5,1,7,4,2]=>{{1,3,5,7},{2,6},{4}}=>[3,6,5,4,7,2,1]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0] [3,6,5,2,1,4,7]=>{{1,3,5},{2,6},{4},{7}}=>[3,6,5,4,1,2,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0] [3,6,5,2,1,7,4]=>{{1,3,5},{2,6,7},{4}}=>[3,6,5,4,1,7,2]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0] [3,6,5,2,4,1,7]=>{{1,3,5},{2,6},{4},{7}}=>[3,6,5,4,1,2,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0] [3,6,5,2,4,7,1]=>{{1,3,5},{2,6,7},{4}}=>[3,6,5,4,1,7,2]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0] [3,6,5,2,7,1,4]=>{{1,3,5,7},{2,6},{4}}=>[3,6,5,4,7,2,1]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0] [3,6,5,2,7,4,1]=>{{1,3,5,7},{2,6},{4}}=>[3,6,5,4,7,2,1]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0] [3,6,5,4,1,2,7]=>{{1,3,5},{2,6},{4},{7}}=>[3,6,5,4,1,2,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0] [3,6,5,4,1,7,2]=>{{1,3,5},{2,6,7},{4}}=>[3,6,5,4,1,7,2]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0] [3,6,5,4,2,1,7]=>{{1,3,5},{2,6},{4},{7}}=>[3,6,5,4,1,2,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0] [3,6,5,4,2,7,1]=>{{1,3,5},{2,6,7},{4}}=>[3,6,5,4,1,7,2]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0] [3,6,5,4,7,1,2]=>{{1,3,5,7},{2,6},{4}}=>[3,6,5,4,7,2,1]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0] [3,6,5,4,7,2,1]=>{{1,3,5,7},{2,6},{4}}=>[3,6,5,4,7,2,1]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0] [3,6,5,7,1,2,4]=>{{1,3,5},{2,6},{4,7}}=>[3,6,5,7,1,2,4]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0] [3,6,5,7,1,4,2]=>{{1,3,5},{2,6},{4,7}}=>[3,6,5,7,1,2,4]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0] [3,6,5,7,2,1,4]=>{{1,3,5},{2,6},{4,7}}=>[3,6,5,7,1,2,4]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0] [3,6,5,7,2,4,1]=>{{1,3,5},{2,6},{4,7}}=>[3,6,5,7,1,2,4]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0] [3,6,5,7,4,1,2]=>{{1,3,5},{2,6},{4,7}}=>[3,6,5,7,1,2,4]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0] [3,6,5,7,4,2,1]=>{{1,3,5},{2,6},{4,7}}=>[3,6,5,7,1,2,4]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0] [3,6,7,1,2,4,5]=>{{1,3,7},{2,6},{4},{5}}=>[3,6,7,4,5,2,1]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0] [3,6,7,1,2,5,4]=>{{1,3,7},{2,6},{4},{5}}=>[3,6,7,4,5,2,1]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0] [3,6,7,1,4,2,5]=>{{1,3,7},{2,6},{4},{5}}=>[3,6,7,4,5,2,1]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0] [3,6,7,1,4,5,2]=>{{1,3,7},{2,6},{4},{5}}=>[3,6,7,4,5,2,1]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0] [3,6,7,1,5,2,4]=>{{1,3,7},{2,6},{4},{5}}=>[3,6,7,4,5,2,1]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0] [3,6,7,1,5,4,2]=>{{1,3,7},{2,6},{4},{5}}=>[3,6,7,4,5,2,1]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0] [3,6,7,2,1,4,5]=>{{1,3,7},{2,6},{4},{5}}=>[3,6,7,4,5,2,1]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0] [3,6,7,2,1,5,4]=>{{1,3,7},{2,6},{4},{5}}=>[3,6,7,4,5,2,1]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0] [3,6,7,2,4,1,5]=>{{1,3,7},{2,6},{4},{5}}=>[3,6,7,4,5,2,1]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0] [3,6,7,2,4,5,1]=>{{1,3,7},{2,6},{4},{5}}=>[3,6,7,4,5,2,1]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0] [3,6,7,2,5,1,4]=>{{1,3,7},{2,6},{4},{5}}=>[3,6,7,4,5,2,1]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0] [3,6,7,2,5,4,1]=>{{1,3,7},{2,6},{4},{5}}=>[3,6,7,4,5,2,1]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0] [3,6,7,4,1,2,5]=>{{1,3,7},{2,6},{4},{5}}=>[3,6,7,4,5,2,1]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0] [3,6,7,4,1,5,2]=>{{1,3,7},{2,6},{4},{5}}=>[3,6,7,4,5,2,1]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0] [3,6,7,4,2,1,5]=>{{1,3,7},{2,6},{4},{5}}=>[3,6,7,4,5,2,1]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0] [3,6,7,4,2,5,1]=>{{1,3,7},{2,6},{4},{5}}=>[3,6,7,4,5,2,1]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0] [3,6,7,4,5,1,2]=>{{1,3,7},{2,6},{4},{5}}=>[3,6,7,4,5,2,1]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0] [3,6,7,4,5,2,1]=>{{1,3,7},{2,6},{4},{5}}=>[3,6,7,4,5,2,1]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0] [3,6,7,5,1,2,4]=>{{1,3,7},{2,6},{4,5}}=>[3,6,7,5,4,2,1]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0] [3,6,7,5,1,4,2]=>{{1,3,7},{2,6},{4,5}}=>[3,6,7,5,4,2,1]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0] [3,6,7,5,2,1,4]=>{{1,3,7},{2,6},{4,5}}=>[3,6,7,5,4,2,1]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0] [3,6,7,5,2,4,1]=>{{1,3,7},{2,6},{4,5}}=>[3,6,7,5,4,2,1]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0] [3,6,7,5,4,1,2]=>{{1,3,7},{2,6},{4,5}}=>[3,6,7,5,4,2,1]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0] [3,6,7,5,4,2,1]=>{{1,3,7},{2,6},{4,5}}=>[3,6,7,5,4,2,1]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0] [3,7,1,2,4,5,6]=>{{1,3},{2,7},{4},{5},{6}}=>[3,7,1,4,5,6,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0] [3,7,1,2,4,6,5]=>{{1,3},{2,7},{4},{5},{6}}=>[3,7,1,4,5,6,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0] [3,7,1,2,5,4,6]=>{{1,3},{2,7},{4},{5},{6}}=>[3,7,1,4,5,6,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0] [3,7,1,2,5,6,4]=>{{1,3},{2,7},{4},{5},{6}}=>[3,7,1,4,5,6,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0] [3,7,1,2,6,4,5]=>{{1,3},{2,7},{4},{5,6}}=>[3,7,1,4,6,5,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0] [3,7,1,2,6,5,4]=>{{1,3},{2,7},{4},{5,6}}=>[3,7,1,4,6,5,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0] [3,7,1,4,2,5,6]=>{{1,3},{2,7},{4},{5},{6}}=>[3,7,1,4,5,6,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0] [3,7,1,4,2,6,5]=>{{1,3},{2,7},{4},{5},{6}}=>[3,7,1,4,5,6,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0] [3,7,1,4,5,2,6]=>{{1,3},{2,7},{4},{5},{6}}=>[3,7,1,4,5,6,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0] [3,7,1,4,5,6,2]=>{{1,3},{2,7},{4},{5},{6}}=>[3,7,1,4,5,6,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0] [3,7,1,4,6,2,5]=>{{1,3},{2,7},{4},{5,6}}=>[3,7,1,4,6,5,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0] [3,7,1,4,6,5,2]=>{{1,3},{2,7},{4},{5,6}}=>[3,7,1,4,6,5,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0] [3,7,1,5,2,4,6]=>{{1,3},{2,7},{4,5},{6}}=>[3,7,1,5,4,6,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0] [3,7,1,5,2,6,4]=>{{1,3},{2,7},{4,5},{6}}=>[3,7,1,5,4,6,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0] [3,7,1,5,4,2,6]=>{{1,3},{2,7},{4,5},{6}}=>[3,7,1,5,4,6,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0] [3,7,1,5,4,6,2]=>{{1,3},{2,7},{4,5},{6}}=>[3,7,1,5,4,6,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0] [3,7,1,5,6,2,4]=>{{1,3},{2,7},{4,5,6}}=>[3,7,1,5,6,4,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0] [3,7,1,5,6,4,2]=>{{1,3},{2,7},{4,5,6}}=>[3,7,1,5,6,4,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0] [3,7,1,6,2,4,5]=>{{1,3},{2,7},{4,6},{5}}=>[3,7,1,6,5,4,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0] [3,7,1,6,2,5,4]=>{{1,3},{2,7},{4,6},{5}}=>[3,7,1,6,5,4,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0] [3,7,1,6,4,2,5]=>{{1,3},{2,7},{4,6},{5}}=>[3,7,1,6,5,4,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0] [3,7,1,6,4,5,2]=>{{1,3},{2,7},{4,6},{5}}=>[3,7,1,6,5,4,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0] [3,7,1,6,5,2,4]=>{{1,3},{2,7},{4,6},{5}}=>[3,7,1,6,5,4,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0] [3,7,1,6,5,4,2]=>{{1,3},{2,7},{4,6},{5}}=>[3,7,1,6,5,4,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0] [3,7,2,1,4,5,6]=>{{1,3},{2,7},{4},{5},{6}}=>[3,7,1,4,5,6,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0] [3,7,2,1,4,6,5]=>{{1,3},{2,7},{4},{5},{6}}=>[3,7,1,4,5,6,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0] [3,7,2,1,5,4,6]=>{{1,3},{2,7},{4},{5},{6}}=>[3,7,1,4,5,6,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0] [3,7,2,1,5,6,4]=>{{1,3},{2,7},{4},{5},{6}}=>[3,7,1,4,5,6,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0] [3,7,2,1,6,4,5]=>{{1,3},{2,7},{4},{5,6}}=>[3,7,1,4,6,5,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0] [3,7,2,1,6,5,4]=>{{1,3},{2,7},{4},{5,6}}=>[3,7,1,4,6,5,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0] [3,7,2,4,1,5,6]=>{{1,3},{2,7},{4},{5},{6}}=>[3,7,1,4,5,6,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0] [3,7,2,4,1,6,5]=>{{1,3},{2,7},{4},{5},{6}}=>[3,7,1,4,5,6,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0] [3,7,2,4,5,1,6]=>{{1,3},{2,7},{4},{5},{6}}=>[3,7,1,4,5,6,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0] [3,7,2,4,5,6,1]=>{{1,3},{2,7},{4},{5},{6}}=>[3,7,1,4,5,6,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0] [3,7,2,4,6,1,5]=>{{1,3},{2,7},{4},{5,6}}=>[3,7,1,4,6,5,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0] [3,7,2,4,6,5,1]=>{{1,3},{2,7},{4},{5,6}}=>[3,7,1,4,6,5,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0] [3,7,2,5,1,4,6]=>{{1,3},{2,7},{4,5},{6}}=>[3,7,1,5,4,6,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0] [3,7,2,5,1,6,4]=>{{1,3},{2,7},{4,5},{6}}=>[3,7,1,5,4,6,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0] [3,7,2,5,4,1,6]=>{{1,3},{2,7},{4,5},{6}}=>[3,7,1,5,4,6,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0] [3,7,2,5,4,6,1]=>{{1,3},{2,7},{4,5},{6}}=>[3,7,1,5,4,6,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0] [3,7,2,5,6,1,4]=>{{1,3},{2,7},{4,5,6}}=>[3,7,1,5,6,4,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0] [3,7,2,5,6,4,1]=>{{1,3},{2,7},{4,5,6}}=>[3,7,1,5,6,4,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0] [3,7,2,6,1,4,5]=>{{1,3},{2,7},{4,6},{5}}=>[3,7,1,6,5,4,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0] [3,7,2,6,1,5,4]=>{{1,3},{2,7},{4,6},{5}}=>[3,7,1,6,5,4,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0] [3,7,2,6,4,1,5]=>{{1,3},{2,7},{4,6},{5}}=>[3,7,1,6,5,4,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0] [3,7,2,6,4,5,1]=>{{1,3},{2,7},{4,6},{5}}=>[3,7,1,6,5,4,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0] [3,7,2,6,5,1,4]=>{{1,3},{2,7},{4,6},{5}}=>[3,7,1,6,5,4,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0] [3,7,2,6,5,4,1]=>{{1,3},{2,7},{4,6},{5}}=>[3,7,1,6,5,4,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0] [3,7,4,1,2,5,6]=>{{1,3,4},{2,7},{5},{6}}=>[3,7,4,1,5,6,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0] [3,7,4,1,2,6,5]=>{{1,3,4},{2,7},{5},{6}}=>[3,7,4,1,5,6,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0] [3,7,4,1,5,2,6]=>{{1,3,4},{2,7},{5},{6}}=>[3,7,4,1,5,6,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0] [3,7,4,1,5,6,2]=>{{1,3,4},{2,7},{5},{6}}=>[3,7,4,1,5,6,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0] [3,7,4,1,6,2,5]=>{{1,3,4},{2,7},{5,6}}=>[3,7,4,1,6,5,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0] [3,7,4,1,6,5,2]=>{{1,3,4},{2,7},{5,6}}=>[3,7,4,1,6,5,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0] [3,7,4,2,1,5,6]=>{{1,3,4},{2,7},{5},{6}}=>[3,7,4,1,5,6,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0] [3,7,4,2,1,6,5]=>{{1,3,4},{2,7},{5},{6}}=>[3,7,4,1,5,6,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0] [3,7,4,2,5,1,6]=>{{1,3,4},{2,7},{5},{6}}=>[3,7,4,1,5,6,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0] [3,7,4,2,5,6,1]=>{{1,3,4},{2,7},{5},{6}}=>[3,7,4,1,5,6,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0] [3,7,4,2,6,1,5]=>{{1,3,4},{2,7},{5,6}}=>[3,7,4,1,6,5,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0] [3,7,4,2,6,5,1]=>{{1,3,4},{2,7},{5,6}}=>[3,7,4,1,6,5,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0] [3,7,4,5,1,2,6]=>{{1,3,4,5},{2,7},{6}}=>[3,7,4,5,1,6,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0] [3,7,4,5,1,6,2]=>{{1,3,4,5},{2,7},{6}}=>[3,7,4,5,1,6,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0] [3,7,4,5,2,1,6]=>{{1,3,4,5},{2,7},{6}}=>[3,7,4,5,1,6,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0] [3,7,4,5,2,6,1]=>{{1,3,4,5},{2,7},{6}}=>[3,7,4,5,1,6,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0] [3,7,4,5,6,1,2]=>{{1,3,4,5,6},{2,7}}=>[3,7,4,5,6,1,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0] [3,7,4,5,6,2,1]=>{{1,3,4,5,6},{2,7}}=>[3,7,4,5,6,1,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0] [3,7,4,6,1,2,5]=>{{1,3,4,6},{2,7},{5}}=>[3,7,4,6,5,1,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0] [3,7,4,6,1,5,2]=>{{1,3,4,6},{2,7},{5}}=>[3,7,4,6,5,1,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0] [3,7,4,6,2,1,5]=>{{1,3,4,6},{2,7},{5}}=>[3,7,4,6,5,1,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0] [3,7,4,6,2,5,1]=>{{1,3,4,6},{2,7},{5}}=>[3,7,4,6,5,1,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0] [3,7,4,6,5,1,2]=>{{1,3,4,6},{2,7},{5}}=>[3,7,4,6,5,1,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0] [3,7,4,6,5,2,1]=>{{1,3,4,6},{2,7},{5}}=>[3,7,4,6,5,1,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0] [3,7,5,1,2,4,6]=>{{1,3,5},{2,7},{4},{6}}=>[3,7,5,4,1,6,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0] [3,7,5,1,2,6,4]=>{{1,3,5},{2,7},{4},{6}}=>[3,7,5,4,1,6,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0] [3,7,5,1,4,2,6]=>{{1,3,5},{2,7},{4},{6}}=>[3,7,5,4,1,6,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0] [3,7,5,1,4,6,2]=>{{1,3,5},{2,7},{4},{6}}=>[3,7,5,4,1,6,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0] [3,7,5,1,6,2,4]=>{{1,3,5,6},{2,7},{4}}=>[3,7,5,4,6,1,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0] [3,7,5,1,6,4,2]=>{{1,3,5,6},{2,7},{4}}=>[3,7,5,4,6,1,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0] [3,7,5,2,1,4,6]=>{{1,3,5},{2,7},{4},{6}}=>[3,7,5,4,1,6,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0] [3,7,5,2,1,6,4]=>{{1,3,5},{2,7},{4},{6}}=>[3,7,5,4,1,6,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0] [3,7,5,2,4,1,6]=>{{1,3,5},{2,7},{4},{6}}=>[3,7,5,4,1,6,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0] [3,7,5,2,4,6,1]=>{{1,3,5},{2,7},{4},{6}}=>[3,7,5,4,1,6,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0] [3,7,5,2,6,1,4]=>{{1,3,5,6},{2,7},{4}}=>[3,7,5,4,6,1,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0] [3,7,5,2,6,4,1]=>{{1,3,5,6},{2,7},{4}}=>[3,7,5,4,6,1,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0] [3,7,5,4,1,2,6]=>{{1,3,5},{2,7},{4},{6}}=>[3,7,5,4,1,6,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0] [3,7,5,4,1,6,2]=>{{1,3,5},{2,7},{4},{6}}=>[3,7,5,4,1,6,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0] [3,7,5,4,2,1,6]=>{{1,3,5},{2,7},{4},{6}}=>[3,7,5,4,1,6,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0] [3,7,5,4,2,6,1]=>{{1,3,5},{2,7},{4},{6}}=>[3,7,5,4,1,6,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0] [3,7,5,4,6,1,2]=>{{1,3,5,6},{2,7},{4}}=>[3,7,5,4,6,1,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0] [3,7,5,4,6,2,1]=>{{1,3,5,6},{2,7},{4}}=>[3,7,5,4,6,1,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0] [3,7,5,6,1,2,4]=>{{1,3,5},{2,7},{4,6}}=>[3,7,5,6,1,4,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0] [3,7,5,6,1,4,2]=>{{1,3,5},{2,7},{4,6}}=>[3,7,5,6,1,4,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0] [3,7,5,6,2,1,4]=>{{1,3,5},{2,7},{4,6}}=>[3,7,5,6,1,4,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0] [3,7,5,6,2,4,1]=>{{1,3,5},{2,7},{4,6}}=>[3,7,5,6,1,4,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0] [3,7,5,6,4,1,2]=>{{1,3,5},{2,7},{4,6}}=>[3,7,5,6,1,4,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0] [3,7,5,6,4,2,1]=>{{1,3,5},{2,7},{4,6}}=>[3,7,5,6,1,4,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0] [3,7,6,1,2,4,5]=>{{1,3,6},{2,7},{4},{5}}=>[3,7,6,4,5,1,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0] [3,7,6,1,2,5,4]=>{{1,3,6},{2,7},{4},{5}}=>[3,7,6,4,5,1,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0] [3,7,6,1,4,2,5]=>{{1,3,6},{2,7},{4},{5}}=>[3,7,6,4,5,1,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0] [3,7,6,1,4,5,2]=>{{1,3,6},{2,7},{4},{5}}=>[3,7,6,4,5,1,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0] [3,7,6,1,5,2,4]=>{{1,3,6},{2,7},{4},{5}}=>[3,7,6,4,5,1,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0] [3,7,6,1,5,4,2]=>{{1,3,6},{2,7},{4},{5}}=>[3,7,6,4,5,1,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0] [3,7,6,2,1,4,5]=>{{1,3,6},{2,7},{4},{5}}=>[3,7,6,4,5,1,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0] [3,7,6,2,1,5,4]=>{{1,3,6},{2,7},{4},{5}}=>[3,7,6,4,5,1,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0] [3,7,6,2,4,1,5]=>{{1,3,6},{2,7},{4},{5}}=>[3,7,6,4,5,1,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0] [3,7,6,2,4,5,1]=>{{1,3,6},{2,7},{4},{5}}=>[3,7,6,4,5,1,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0] [3,7,6,2,5,1,4]=>{{1,3,6},{2,7},{4},{5}}=>[3,7,6,4,5,1,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0] [3,7,6,2,5,4,1]=>{{1,3,6},{2,7},{4},{5}}=>[3,7,6,4,5,1,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0] [3,7,6,4,1,2,5]=>{{1,3,6},{2,7},{4},{5}}=>[3,7,6,4,5,1,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0] [3,7,6,4,1,5,2]=>{{1,3,6},{2,7},{4},{5}}=>[3,7,6,4,5,1,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0] [3,7,6,4,2,1,5]=>{{1,3,6},{2,7},{4},{5}}=>[3,7,6,4,5,1,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0] [3,7,6,4,2,5,1]=>{{1,3,6},{2,7},{4},{5}}=>[3,7,6,4,5,1,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0] [3,7,6,4,5,1,2]=>{{1,3,6},{2,7},{4},{5}}=>[3,7,6,4,5,1,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0] [3,7,6,4,5,2,1]=>{{1,3,6},{2,7},{4},{5}}=>[3,7,6,4,5,1,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0] [3,7,6,5,1,2,4]=>{{1,3,6},{2,7},{4,5}}=>[3,7,6,5,4,1,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0] [3,7,6,5,1,4,2]=>{{1,3,6},{2,7},{4,5}}=>[3,7,6,5,4,1,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0] [3,7,6,5,2,1,4]=>{{1,3,6},{2,7},{4,5}}=>[3,7,6,5,4,1,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0] [3,7,6,5,2,4,1]=>{{1,3,6},{2,7},{4,5}}=>[3,7,6,5,4,1,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0] [3,7,6,5,4,1,2]=>{{1,3,6},{2,7},{4,5}}=>[3,7,6,5,4,1,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0] [3,7,6,5,4,2,1]=>{{1,3,6},{2,7},{4,5}}=>[3,7,6,5,4,1,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0] [4,1,2,3,5,6,7]=>{{1,4},{2},{3},{5},{6},{7}}=>[4,2,3,1,5,6,7]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0] [4,1,2,3,5,7,6]=>{{1,4},{2},{3},{5},{6,7}}=>[4,2,3,1,5,7,6]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,0] [4,1,2,3,6,5,7]=>{{1,4},{2},{3},{5,6},{7}}=>[4,2,3,1,6,5,7]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0] [4,1,2,3,6,7,5]=>{{1,4},{2},{3},{5,6,7}}=>[4,2,3,1,6,7,5]=>[1,1,1,1,0,0,0,0,1,1,0,1,0,0] [4,1,2,3,7,5,6]=>{{1,4},{2},{3},{5,7},{6}}=>[4,2,3,1,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0] [4,1,2,3,7,6,5]=>{{1,4},{2},{3},{5,7},{6}}=>[4,2,3,1,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0] [4,1,2,5,3,6,7]=>{{1,4,5},{2},{3},{6},{7}}=>[4,2,3,5,1,6,7]=>[1,1,1,1,0,0,0,1,0,0,1,0,1,0] [4,1,2,5,3,7,6]=>{{1,4,5},{2},{3},{6,7}}=>[4,2,3,5,1,7,6]=>[1,1,1,1,0,0,0,1,0,0,1,1,0,0] [4,1,2,5,6,3,7]=>{{1,4,5,6},{2},{3},{7}}=>[4,2,3,5,6,1,7]=>[1,1,1,1,0,0,0,1,0,1,0,0,1,0] [4,1,2,5,6,7,3]=>{{1,4,5,6,7},{2},{3}}=>[4,2,3,5,6,7,1]=>[1,1,1,1,0,0,0,1,0,1,0,1,0,0] [4,1,2,5,7,3,6]=>{{1,4,5,7},{2},{3},{6}}=>[4,2,3,5,7,6,1]=>[1,1,1,1,0,0,0,1,0,1,1,0,0,0] [4,1,2,5,7,6,3]=>{{1,4,5,7},{2},{3},{6}}=>[4,2,3,5,7,6,1]=>[1,1,1,1,0,0,0,1,0,1,1,0,0,0] [4,1,2,6,3,5,7]=>{{1,4,6},{2},{3},{5},{7}}=>[4,2,3,6,5,1,7]=>[1,1,1,1,0,0,0,1,1,0,0,0,1,0] [4,1,2,6,3,7,5]=>{{1,4,6,7},{2},{3},{5}}=>[4,2,3,6,5,7,1]=>[1,1,1,1,0,0,0,1,1,0,0,1,0,0] [4,1,2,6,5,3,7]=>{{1,4,6},{2},{3},{5},{7}}=>[4,2,3,6,5,1,7]=>[1,1,1,1,0,0,0,1,1,0,0,0,1,0] [4,1,2,6,5,7,3]=>{{1,4,6,7},{2},{3},{5}}=>[4,2,3,6,5,7,1]=>[1,1,1,1,0,0,0,1,1,0,0,1,0,0] [4,1,2,6,7,3,5]=>{{1,4,6},{2},{3},{5,7}}=>[4,2,3,6,7,1,5]=>[1,1,1,1,0,0,0,1,1,0,1,0,0,0] [4,1,2,6,7,5,3]=>{{1,4,6},{2},{3},{5,7}}=>[4,2,3,6,7,1,5]=>[1,1,1,1,0,0,0,1,1,0,1,0,0,0] [4,1,2,7,3,5,6]=>{{1,4,7},{2},{3},{5},{6}}=>[4,2,3,7,5,6,1]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0] [4,1,2,7,3,6,5]=>{{1,4,7},{2},{3},{5},{6}}=>[4,2,3,7,5,6,1]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0] [4,1,2,7,5,3,6]=>{{1,4,7},{2},{3},{5},{6}}=>[4,2,3,7,5,6,1]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0] [4,1,2,7,5,6,3]=>{{1,4,7},{2},{3},{5},{6}}=>[4,2,3,7,5,6,1]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0] [4,1,2,7,6,3,5]=>{{1,4,7},{2},{3},{5,6}}=>[4,2,3,7,6,5,1]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0] [4,1,2,7,6,5,3]=>{{1,4,7},{2},{3},{5,6}}=>[4,2,3,7,6,5,1]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0] [4,1,3,2,5,6,7]=>{{1,4},{2},{3},{5},{6},{7}}=>[4,2,3,1,5,6,7]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0] [4,1,3,2,5,7,6]=>{{1,4},{2},{3},{5},{6,7}}=>[4,2,3,1,5,7,6]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,0] [4,1,3,2,6,5,7]=>{{1,4},{2},{3},{5,6},{7}}=>[4,2,3,1,6,5,7]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0] [4,1,3,2,6,7,5]=>{{1,4},{2},{3},{5,6,7}}=>[4,2,3,1,6,7,5]=>[1,1,1,1,0,0,0,0,1,1,0,1,0,0] [4,1,3,2,7,5,6]=>{{1,4},{2},{3},{5,7},{6}}=>[4,2,3,1,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0] [4,1,3,2,7,6,5]=>{{1,4},{2},{3},{5,7},{6}}=>[4,2,3,1,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0] [4,1,3,5,2,6,7]=>{{1,4,5},{2},{3},{6},{7}}=>[4,2,3,5,1,6,7]=>[1,1,1,1,0,0,0,1,0,0,1,0,1,0] [4,1,3,5,2,7,6]=>{{1,4,5},{2},{3},{6,7}}=>[4,2,3,5,1,7,6]=>[1,1,1,1,0,0,0,1,0,0,1,1,0,0] [4,1,3,5,6,2,7]=>{{1,4,5,6},{2},{3},{7}}=>[4,2,3,5,6,1,7]=>[1,1,1,1,0,0,0,1,0,1,0,0,1,0] [4,1,3,5,6,7,2]=>{{1,4,5,6,7},{2},{3}}=>[4,2,3,5,6,7,1]=>[1,1,1,1,0,0,0,1,0,1,0,1,0,0] [4,1,3,5,7,2,6]=>{{1,4,5,7},{2},{3},{6}}=>[4,2,3,5,7,6,1]=>[1,1,1,1,0,0,0,1,0,1,1,0,0,0] [4,1,3,5,7,6,2]=>{{1,4,5,7},{2},{3},{6}}=>[4,2,3,5,7,6,1]=>[1,1,1,1,0,0,0,1,0,1,1,0,0,0] [4,1,3,6,2,5,7]=>{{1,4,6},{2},{3},{5},{7}}=>[4,2,3,6,5,1,7]=>[1,1,1,1,0,0,0,1,1,0,0,0,1,0] [4,1,3,6,2,7,5]=>{{1,4,6,7},{2},{3},{5}}=>[4,2,3,6,5,7,1]=>[1,1,1,1,0,0,0,1,1,0,0,1,0,0] [4,1,3,6,5,2,7]=>{{1,4,6},{2},{3},{5},{7}}=>[4,2,3,6,5,1,7]=>[1,1,1,1,0,0,0,1,1,0,0,0,1,0] [4,1,3,6,5,7,2]=>{{1,4,6,7},{2},{3},{5}}=>[4,2,3,6,5,7,1]=>[1,1,1,1,0,0,0,1,1,0,0,1,0,0] [4,1,3,6,7,2,5]=>{{1,4,6},{2},{3},{5,7}}=>[4,2,3,6,7,1,5]=>[1,1,1,1,0,0,0,1,1,0,1,0,0,0] [4,1,3,6,7,5,2]=>{{1,4,6},{2},{3},{5,7}}=>[4,2,3,6,7,1,5]=>[1,1,1,1,0,0,0,1,1,0,1,0,0,0] [4,1,3,7,2,5,6]=>{{1,4,7},{2},{3},{5},{6}}=>[4,2,3,7,5,6,1]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0] [4,1,3,7,2,6,5]=>{{1,4,7},{2},{3},{5},{6}}=>[4,2,3,7,5,6,1]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0] [4,1,3,7,5,2,6]=>{{1,4,7},{2},{3},{5},{6}}=>[4,2,3,7,5,6,1]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0] [4,1,3,7,5,6,2]=>{{1,4,7},{2},{3},{5},{6}}=>[4,2,3,7,5,6,1]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0] [4,1,3,7,6,2,5]=>{{1,4,7},{2},{3},{5,6}}=>[4,2,3,7,6,5,1]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0] [4,1,3,7,6,5,2]=>{{1,4,7},{2},{3},{5,6}}=>[4,2,3,7,6,5,1]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0] [4,1,5,2,3,6,7]=>{{1,4},{2},{3,5},{6},{7}}=>[4,2,5,1,3,6,7]=>[1,1,1,1,0,0,1,0,0,0,1,0,1,0] [4,1,5,2,3,7,6]=>{{1,4},{2},{3,5},{6,7}}=>[4,2,5,1,3,7,6]=>[1,1,1,1,0,0,1,0,0,0,1,1,0,0] [4,1,5,2,6,3,7]=>{{1,4},{2},{3,5,6},{7}}=>[4,2,5,1,6,3,7]=>[1,1,1,1,0,0,1,0,0,1,0,0,1,0] [4,1,5,2,6,7,3]=>{{1,4},{2},{3,5,6,7}}=>[4,2,5,1,6,7,3]=>[1,1,1,1,0,0,1,0,0,1,0,1,0,0] [4,1,5,2,7,3,6]=>{{1,4},{2},{3,5,7},{6}}=>[4,2,5,1,7,6,3]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,0] [4,1,5,2,7,6,3]=>{{1,4},{2},{3,5,7},{6}}=>[4,2,5,1,7,6,3]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,0] [4,1,5,3,2,6,7]=>{{1,4},{2},{3,5},{6},{7}}=>[4,2,5,1,3,6,7]=>[1,1,1,1,0,0,1,0,0,0,1,0,1,0] [4,1,5,3,2,7,6]=>{{1,4},{2},{3,5},{6,7}}=>[4,2,5,1,3,7,6]=>[1,1,1,1,0,0,1,0,0,0,1,1,0,0] [4,1,5,3,6,2,7]=>{{1,4},{2},{3,5,6},{7}}=>[4,2,5,1,6,3,7]=>[1,1,1,1,0,0,1,0,0,1,0,0,1,0] [4,1,5,3,6,7,2]=>{{1,4},{2},{3,5,6,7}}=>[4,2,5,1,6,7,3]=>[1,1,1,1,0,0,1,0,0,1,0,1,0,0] [4,1,5,3,7,2,6]=>{{1,4},{2},{3,5,7},{6}}=>[4,2,5,1,7,6,3]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,0] [4,1,5,3,7,6,2]=>{{1,4},{2},{3,5,7},{6}}=>[4,2,5,1,7,6,3]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,0] [4,1,5,6,2,3,7]=>{{1,4,6},{2},{3,5},{7}}=>[4,2,5,6,3,1,7]=>[1,1,1,1,0,0,1,0,1,0,0,0,1,0] [4,1,5,6,2,7,3]=>{{1,4,6,7},{2},{3,5}}=>[4,2,5,6,3,7,1]=>[1,1,1,1,0,0,1,0,1,0,0,1,0,0] [4,1,5,6,3,2,7]=>{{1,4,6},{2},{3,5},{7}}=>[4,2,5,6,3,1,7]=>[1,1,1,1,0,0,1,0,1,0,0,0,1,0] [4,1,5,6,3,7,2]=>{{1,4,6,7},{2},{3,5}}=>[4,2,5,6,3,7,1]=>[1,1,1,1,0,0,1,0,1,0,0,1,0,0] [4,1,5,6,7,2,3]=>{{1,4,6},{2},{3,5,7}}=>[4,2,5,6,7,1,3]=>[1,1,1,1,0,0,1,0,1,0,1,0,0,0] [4,1,5,6,7,3,2]=>{{1,4,6},{2},{3,5,7}}=>[4,2,5,6,7,1,3]=>[1,1,1,1,0,0,1,0,1,0,1,0,0,0] [4,1,5,7,2,3,6]=>{{1,4,7},{2},{3,5},{6}}=>[4,2,5,7,3,6,1]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0] [4,1,5,7,2,6,3]=>{{1,4,7},{2},{3,5},{6}}=>[4,2,5,7,3,6,1]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0] [4,1,5,7,3,2,6]=>{{1,4,7},{2},{3,5},{6}}=>[4,2,5,7,3,6,1]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0] [4,1,5,7,3,6,2]=>{{1,4,7},{2},{3,5},{6}}=>[4,2,5,7,3,6,1]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0] [4,1,5,7,6,2,3]=>{{1,4,7},{2},{3,5,6}}=>[4,2,5,7,6,3,1]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0] [4,1,5,7,6,3,2]=>{{1,4,7},{2},{3,5,6}}=>[4,2,5,7,6,3,1]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0] [4,1,6,2,3,5,7]=>{{1,4},{2},{3,6},{5},{7}}=>[4,2,6,1,5,3,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0] [4,1,6,2,3,7,5]=>{{1,4},{2},{3,6,7},{5}}=>[4,2,6,1,5,7,3]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,0] [4,1,6,2,5,3,7]=>{{1,4},{2},{3,6},{5},{7}}=>[4,2,6,1,5,3,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0] [4,1,6,2,5,7,3]=>{{1,4},{2},{3,6,7},{5}}=>[4,2,6,1,5,7,3]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,0] [4,1,6,2,7,3,5]=>{{1,4},{2},{3,6},{5,7}}=>[4,2,6,1,7,3,5]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0] [4,1,6,2,7,5,3]=>{{1,4},{2},{3,6},{5,7}}=>[4,2,6,1,7,3,5]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0] [4,1,6,3,2,5,7]=>{{1,4},{2},{3,6},{5},{7}}=>[4,2,6,1,5,3,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0] [4,1,6,3,2,7,5]=>{{1,4},{2},{3,6,7},{5}}=>[4,2,6,1,5,7,3]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,0] [4,1,6,3,5,2,7]=>{{1,4},{2},{3,6},{5},{7}}=>[4,2,6,1,5,3,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0] [4,1,6,3,5,7,2]=>{{1,4},{2},{3,6,7},{5}}=>[4,2,6,1,5,7,3]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,0] [4,1,6,3,7,2,5]=>{{1,4},{2},{3,6},{5,7}}=>[4,2,6,1,7,3,5]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0] [4,1,6,3,7,5,2]=>{{1,4},{2},{3,6},{5,7}}=>[4,2,6,1,7,3,5]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0] [4,1,6,5,2,3,7]=>{{1,4,5},{2},{3,6},{7}}=>[4,2,6,5,1,3,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0] [4,1,6,5,2,7,3]=>{{1,4,5},{2},{3,6,7}}=>[4,2,6,5,1,7,3]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,0] [4,1,6,5,3,2,7]=>{{1,4,5},{2},{3,6},{7}}=>[4,2,6,5,1,3,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0] [4,1,6,5,3,7,2]=>{{1,4,5},{2},{3,6,7}}=>[4,2,6,5,1,7,3]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,0] [4,1,6,5,7,2,3]=>{{1,4,5,7},{2},{3,6}}=>[4,2,6,5,7,3,1]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0] [4,1,6,5,7,3,2]=>{{1,4,5,7},{2},{3,6}}=>[4,2,6,5,7,3,1]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0] [4,1,6,7,2,3,5]=>{{1,4,7},{2},{3,6},{5}}=>[4,2,6,7,5,3,1]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,0] [4,1,6,7,2,5,3]=>{{1,4,7},{2},{3,6},{5}}=>[4,2,6,7,5,3,1]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,0] [4,1,6,7,3,2,5]=>{{1,4,7},{2},{3,6},{5}}=>[4,2,6,7,5,3,1]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,0] [4,1,6,7,3,5,2]=>{{1,4,7},{2},{3,6},{5}}=>[4,2,6,7,5,3,1]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,0] [4,1,6,7,5,2,3]=>{{1,4,7},{2},{3,6},{5}}=>[4,2,6,7,5,3,1]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,0] [4,1,6,7,5,3,2]=>{{1,4,7},{2},{3,6},{5}}=>[4,2,6,7,5,3,1]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,0] [4,1,7,2,3,5,6]=>{{1,4},{2},{3,7},{5},{6}}=>[4,2,7,1,5,6,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0] [4,1,7,2,3,6,5]=>{{1,4},{2},{3,7},{5},{6}}=>[4,2,7,1,5,6,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0] [4,1,7,2,5,3,6]=>{{1,4},{2},{3,7},{5},{6}}=>[4,2,7,1,5,6,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0] [4,1,7,2,5,6,3]=>{{1,4},{2},{3,7},{5},{6}}=>[4,2,7,1,5,6,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0] [4,1,7,2,6,3,5]=>{{1,4},{2},{3,7},{5,6}}=>[4,2,7,1,6,5,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0] [4,1,7,2,6,5,3]=>{{1,4},{2},{3,7},{5,6}}=>[4,2,7,1,6,5,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0] [4,1,7,3,2,5,6]=>{{1,4},{2},{3,7},{5},{6}}=>[4,2,7,1,5,6,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0] [4,1,7,3,2,6,5]=>{{1,4},{2},{3,7},{5},{6}}=>[4,2,7,1,5,6,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0] [4,1,7,3,5,2,6]=>{{1,4},{2},{3,7},{5},{6}}=>[4,2,7,1,5,6,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0] [4,1,7,3,5,6,2]=>{{1,4},{2},{3,7},{5},{6}}=>[4,2,7,1,5,6,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0] [4,1,7,3,6,2,5]=>{{1,4},{2},{3,7},{5,6}}=>[4,2,7,1,6,5,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0] [4,1,7,3,6,5,2]=>{{1,4},{2},{3,7},{5,6}}=>[4,2,7,1,6,5,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0] [4,1,7,5,2,3,6]=>{{1,4,5},{2},{3,7},{6}}=>[4,2,7,5,1,6,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0] [4,1,7,5,2,6,3]=>{{1,4,5},{2},{3,7},{6}}=>[4,2,7,5,1,6,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0] [4,1,7,5,3,2,6]=>{{1,4,5},{2},{3,7},{6}}=>[4,2,7,5,1,6,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0] [4,1,7,5,3,6,2]=>{{1,4,5},{2},{3,7},{6}}=>[4,2,7,5,1,6,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0] [4,1,7,5,6,2,3]=>{{1,4,5,6},{2},{3,7}}=>[4,2,7,5,6,1,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0] [4,1,7,5,6,3,2]=>{{1,4,5,6},{2},{3,7}}=>[4,2,7,5,6,1,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0] [4,1,7,6,2,3,5]=>{{1,4,6},{2},{3,7},{5}}=>[4,2,7,6,5,1,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0] [4,1,7,6,2,5,3]=>{{1,4,6},{2},{3,7},{5}}=>[4,2,7,6,5,1,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0] [4,1,7,6,3,2,5]=>{{1,4,6},{2},{3,7},{5}}=>[4,2,7,6,5,1,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0] [4,1,7,6,3,5,2]=>{{1,4,6},{2},{3,7},{5}}=>[4,2,7,6,5,1,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0] [4,1,7,6,5,2,3]=>{{1,4,6},{2},{3,7},{5}}=>[4,2,7,6,5,1,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0] [4,1,7,6,5,3,2]=>{{1,4,6},{2},{3,7},{5}}=>[4,2,7,6,5,1,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0] [4,2,1,3,5,6,7]=>{{1,4},{2},{3},{5},{6},{7}}=>[4,2,3,1,5,6,7]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0] [4,2,1,3,5,7,6]=>{{1,4},{2},{3},{5},{6,7}}=>[4,2,3,1,5,7,6]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,0] [4,2,1,3,6,5,7]=>{{1,4},{2},{3},{5,6},{7}}=>[4,2,3,1,6,5,7]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0] [4,2,1,3,6,7,5]=>{{1,4},{2},{3},{5,6,7}}=>[4,2,3,1,6,7,5]=>[1,1,1,1,0,0,0,0,1,1,0,1,0,0] [4,2,1,3,7,5,6]=>{{1,4},{2},{3},{5,7},{6}}=>[4,2,3,1,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0] [4,2,1,3,7,6,5]=>{{1,4},{2},{3},{5,7},{6}}=>[4,2,3,1,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0] [4,2,1,5,3,6,7]=>{{1,4,5},{2},{3},{6},{7}}=>[4,2,3,5,1,6,7]=>[1,1,1,1,0,0,0,1,0,0,1,0,1,0] [4,2,1,5,3,7,6]=>{{1,4,5},{2},{3},{6,7}}=>[4,2,3,5,1,7,6]=>[1,1,1,1,0,0,0,1,0,0,1,1,0,0] [4,2,1,5,6,3,7]=>{{1,4,5,6},{2},{3},{7}}=>[4,2,3,5,6,1,7]=>[1,1,1,1,0,0,0,1,0,1,0,0,1,0] [4,2,1,5,6,7,3]=>{{1,4,5,6,7},{2},{3}}=>[4,2,3,5,6,7,1]=>[1,1,1,1,0,0,0,1,0,1,0,1,0,0] [4,2,1,5,7,3,6]=>{{1,4,5,7},{2},{3},{6}}=>[4,2,3,5,7,6,1]=>[1,1,1,1,0,0,0,1,0,1,1,0,0,0] [4,2,1,5,7,6,3]=>{{1,4,5,7},{2},{3},{6}}=>[4,2,3,5,7,6,1]=>[1,1,1,1,0,0,0,1,0,1,1,0,0,0] [4,2,1,6,3,5,7]=>{{1,4,6},{2},{3},{5},{7}}=>[4,2,3,6,5,1,7]=>[1,1,1,1,0,0,0,1,1,0,0,0,1,0] [4,2,1,6,3,7,5]=>{{1,4,6,7},{2},{3},{5}}=>[4,2,3,6,5,7,1]=>[1,1,1,1,0,0,0,1,1,0,0,1,0,0] [4,2,1,6,5,3,7]=>{{1,4,6},{2},{3},{5},{7}}=>[4,2,3,6,5,1,7]=>[1,1,1,1,0,0,0,1,1,0,0,0,1,0] [4,2,1,6,5,7,3]=>{{1,4,6,7},{2},{3},{5}}=>[4,2,3,6,5,7,1]=>[1,1,1,1,0,0,0,1,1,0,0,1,0,0] [4,2,1,6,7,3,5]=>{{1,4,6},{2},{3},{5,7}}=>[4,2,3,6,7,1,5]=>[1,1,1,1,0,0,0,1,1,0,1,0,0,0] [4,2,1,6,7,5,3]=>{{1,4,6},{2},{3},{5,7}}=>[4,2,3,6,7,1,5]=>[1,1,1,1,0,0,0,1,1,0,1,0,0,0] [4,2,1,7,3,5,6]=>{{1,4,7},{2},{3},{5},{6}}=>[4,2,3,7,5,6,1]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0] [4,2,1,7,3,6,5]=>{{1,4,7},{2},{3},{5},{6}}=>[4,2,3,7,5,6,1]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0] [4,2,1,7,5,3,6]=>{{1,4,7},{2},{3},{5},{6}}=>[4,2,3,7,5,6,1]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0] [4,2,1,7,5,6,3]=>{{1,4,7},{2},{3},{5},{6}}=>[4,2,3,7,5,6,1]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0] [4,2,1,7,6,3,5]=>{{1,4,7},{2},{3},{5,6}}=>[4,2,3,7,6,5,1]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0] [4,2,1,7,6,5,3]=>{{1,4,7},{2},{3},{5,6}}=>[4,2,3,7,6,5,1]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0] [4,2,3,1,5,6,7]=>{{1,4},{2},{3},{5},{6},{7}}=>[4,2,3,1,5,6,7]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0] [4,2,3,1,5,7,6]=>{{1,4},{2},{3},{5},{6,7}}=>[4,2,3,1,5,7,6]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,0] [4,2,3,1,6,5,7]=>{{1,4},{2},{3},{5,6},{7}}=>[4,2,3,1,6,5,7]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0] [4,2,3,1,6,7,5]=>{{1,4},{2},{3},{5,6,7}}=>[4,2,3,1,6,7,5]=>[1,1,1,1,0,0,0,0,1,1,0,1,0,0] [4,2,3,1,7,5,6]=>{{1,4},{2},{3},{5,7},{6}}=>[4,2,3,1,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0] [4,2,3,1,7,6,5]=>{{1,4},{2},{3},{5,7},{6}}=>[4,2,3,1,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0] [4,2,3,5,1,6,7]=>{{1,4,5},{2},{3},{6},{7}}=>[4,2,3,5,1,6,7]=>[1,1,1,1,0,0,0,1,0,0,1,0,1,0] [4,2,3,5,1,7,6]=>{{1,4,5},{2},{3},{6,7}}=>[4,2,3,5,1,7,6]=>[1,1,1,1,0,0,0,1,0,0,1,1,0,0] [4,2,3,5,6,1,7]=>{{1,4,5,6},{2},{3},{7}}=>[4,2,3,5,6,1,7]=>[1,1,1,1,0,0,0,1,0,1,0,0,1,0] [4,2,3,5,6,7,1]=>{{1,4,5,6,7},{2},{3}}=>[4,2,3,5,6,7,1]=>[1,1,1,1,0,0,0,1,0,1,0,1,0,0] [4,2,3,5,7,1,6]=>{{1,4,5,7},{2},{3},{6}}=>[4,2,3,5,7,6,1]=>[1,1,1,1,0,0,0,1,0,1,1,0,0,0] [4,2,3,5,7,6,1]=>{{1,4,5,7},{2},{3},{6}}=>[4,2,3,5,7,6,1]=>[1,1,1,1,0,0,0,1,0,1,1,0,0,0] [4,2,3,6,1,5,7]=>{{1,4,6},{2},{3},{5},{7}}=>[4,2,3,6,5,1,7]=>[1,1,1,1,0,0,0,1,1,0,0,0,1,0] [4,2,3,6,1,7,5]=>{{1,4,6,7},{2},{3},{5}}=>[4,2,3,6,5,7,1]=>[1,1,1,1,0,0,0,1,1,0,0,1,0,0] [4,2,3,6,5,1,7]=>{{1,4,6},{2},{3},{5},{7}}=>[4,2,3,6,5,1,7]=>[1,1,1,1,0,0,0,1,1,0,0,0,1,0] [4,2,3,6,5,7,1]=>{{1,4,6,7},{2},{3},{5}}=>[4,2,3,6,5,7,1]=>[1,1,1,1,0,0,0,1,1,0,0,1,0,0] [4,2,3,6,7,1,5]=>{{1,4,6},{2},{3},{5,7}}=>[4,2,3,6,7,1,5]=>[1,1,1,1,0,0,0,1,1,0,1,0,0,0] [4,2,3,6,7,5,1]=>{{1,4,6},{2},{3},{5,7}}=>[4,2,3,6,7,1,5]=>[1,1,1,1,0,0,0,1,1,0,1,0,0,0] [4,2,3,7,1,5,6]=>{{1,4,7},{2},{3},{5},{6}}=>[4,2,3,7,5,6,1]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0] [4,2,3,7,1,6,5]=>{{1,4,7},{2},{3},{5},{6}}=>[4,2,3,7,5,6,1]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0] [4,2,3,7,5,1,6]=>{{1,4,7},{2},{3},{5},{6}}=>[4,2,3,7,5,6,1]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0] [4,2,3,7,5,6,1]=>{{1,4,7},{2},{3},{5},{6}}=>[4,2,3,7,5,6,1]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0] [4,2,3,7,6,1,5]=>{{1,4,7},{2},{3},{5,6}}=>[4,2,3,7,6,5,1]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0] [4,2,3,7,6,5,1]=>{{1,4,7},{2},{3},{5,6}}=>[4,2,3,7,6,5,1]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0] [4,2,5,1,3,6,7]=>{{1,4},{2},{3,5},{6},{7}}=>[4,2,5,1,3,6,7]=>[1,1,1,1,0,0,1,0,0,0,1,0,1,0] [4,2,5,1,3,7,6]=>{{1,4},{2},{3,5},{6,7}}=>[4,2,5,1,3,7,6]=>[1,1,1,1,0,0,1,0,0,0,1,1,0,0] [4,2,5,1,6,3,7]=>{{1,4},{2},{3,5,6},{7}}=>[4,2,5,1,6,3,7]=>[1,1,1,1,0,0,1,0,0,1,0,0,1,0] [4,2,5,1,6,7,3]=>{{1,4},{2},{3,5,6,7}}=>[4,2,5,1,6,7,3]=>[1,1,1,1,0,0,1,0,0,1,0,1,0,0] [4,2,5,1,7,3,6]=>{{1,4},{2},{3,5,7},{6}}=>[4,2,5,1,7,6,3]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,0] [4,2,5,1,7,6,3]=>{{1,4},{2},{3,5,7},{6}}=>[4,2,5,1,7,6,3]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,0] [4,2,5,3,1,6,7]=>{{1,4},{2},{3,5},{6},{7}}=>[4,2,5,1,3,6,7]=>[1,1,1,1,0,0,1,0,0,0,1,0,1,0] [4,2,5,3,1,7,6]=>{{1,4},{2},{3,5},{6,7}}=>[4,2,5,1,3,7,6]=>[1,1,1,1,0,0,1,0,0,0,1,1,0,0] [4,2,5,3,6,1,7]=>{{1,4},{2},{3,5,6},{7}}=>[4,2,5,1,6,3,7]=>[1,1,1,1,0,0,1,0,0,1,0,0,1,0] [4,2,5,3,6,7,1]=>{{1,4},{2},{3,5,6,7}}=>[4,2,5,1,6,7,3]=>[1,1,1,1,0,0,1,0,0,1,0,1,0,0] [4,2,5,3,7,1,6]=>{{1,4},{2},{3,5,7},{6}}=>[4,2,5,1,7,6,3]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,0] [4,2,5,3,7,6,1]=>{{1,4},{2},{3,5,7},{6}}=>[4,2,5,1,7,6,3]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,0] [4,2,5,6,1,3,7]=>{{1,4,6},{2},{3,5},{7}}=>[4,2,5,6,3,1,7]=>[1,1,1,1,0,0,1,0,1,0,0,0,1,0] [4,2,5,6,1,7,3]=>{{1,4,6,7},{2},{3,5}}=>[4,2,5,6,3,7,1]=>[1,1,1,1,0,0,1,0,1,0,0,1,0,0] [4,2,5,6,3,1,7]=>{{1,4,6},{2},{3,5},{7}}=>[4,2,5,6,3,1,7]=>[1,1,1,1,0,0,1,0,1,0,0,0,1,0] [4,2,5,6,3,7,1]=>{{1,4,6,7},{2},{3,5}}=>[4,2,5,6,3,7,1]=>[1,1,1,1,0,0,1,0,1,0,0,1,0,0] [4,2,5,6,7,1,3]=>{{1,4,6},{2},{3,5,7}}=>[4,2,5,6,7,1,3]=>[1,1,1,1,0,0,1,0,1,0,1,0,0,0] [4,2,5,6,7,3,1]=>{{1,4,6},{2},{3,5,7}}=>[4,2,5,6,7,1,3]=>[1,1,1,1,0,0,1,0,1,0,1,0,0,0] [4,2,5,7,1,3,6]=>{{1,4,7},{2},{3,5},{6}}=>[4,2,5,7,3,6,1]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0] [4,2,5,7,1,6,3]=>{{1,4,7},{2},{3,5},{6}}=>[4,2,5,7,3,6,1]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0] [4,2,5,7,3,1,6]=>{{1,4,7},{2},{3,5},{6}}=>[4,2,5,7,3,6,1]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0] [4,2,5,7,3,6,1]=>{{1,4,7},{2},{3,5},{6}}=>[4,2,5,7,3,6,1]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0] [4,2,5,7,6,1,3]=>{{1,4,7},{2},{3,5,6}}=>[4,2,5,7,6,3,1]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0] [4,2,5,7,6,3,1]=>{{1,4,7},{2},{3,5,6}}=>[4,2,5,7,6,3,1]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0] [4,2,6,1,3,5,7]=>{{1,4},{2},{3,6},{5},{7}}=>[4,2,6,1,5,3,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0] [4,2,6,1,3,7,5]=>{{1,4},{2},{3,6,7},{5}}=>[4,2,6,1,5,7,3]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,0] [4,2,6,1,5,3,7]=>{{1,4},{2},{3,6},{5},{7}}=>[4,2,6,1,5,3,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0] [4,2,6,1,5,7,3]=>{{1,4},{2},{3,6,7},{5}}=>[4,2,6,1,5,7,3]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,0] [4,2,6,1,7,3,5]=>{{1,4},{2},{3,6},{5,7}}=>[4,2,6,1,7,3,5]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0] [4,2,6,1,7,5,3]=>{{1,4},{2},{3,6},{5,7}}=>[4,2,6,1,7,3,5]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0] [4,2,6,3,1,5,7]=>{{1,4},{2},{3,6},{5},{7}}=>[4,2,6,1,5,3,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0] [4,2,6,3,1,7,5]=>{{1,4},{2},{3,6,7},{5}}=>[4,2,6,1,5,7,3]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,0] [4,2,6,3,5,1,7]=>{{1,4},{2},{3,6},{5},{7}}=>[4,2,6,1,5,3,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0] [4,2,6,3,5,7,1]=>{{1,4},{2},{3,6,7},{5}}=>[4,2,6,1,5,7,3]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,0] [4,2,6,3,7,1,5]=>{{1,4},{2},{3,6},{5,7}}=>[4,2,6,1,7,3,5]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0] [4,2,6,3,7,5,1]=>{{1,4},{2},{3,6},{5,7}}=>[4,2,6,1,7,3,5]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0] [4,2,6,5,1,3,7]=>{{1,4,5},{2},{3,6},{7}}=>[4,2,6,5,1,3,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0] [4,2,6,5,1,7,3]=>{{1,4,5},{2},{3,6,7}}=>[4,2,6,5,1,7,3]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,0] [4,2,6,5,3,1,7]=>{{1,4,5},{2},{3,6},{7}}=>[4,2,6,5,1,3,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0] [4,2,6,5,3,7,1]=>{{1,4,5},{2},{3,6,7}}=>[4,2,6,5,1,7,3]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,0] [4,2,6,5,7,1,3]=>{{1,4,5,7},{2},{3,6}}=>[4,2,6,5,7,3,1]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0] [4,2,6,5,7,3,1]=>{{1,4,5,7},{2},{3,6}}=>[4,2,6,5,7,3,1]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0] [4,2,6,7,1,3,5]=>{{1,4,7},{2},{3,6},{5}}=>[4,2,6,7,5,3,1]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,0] [4,2,6,7,1,5,3]=>{{1,4,7},{2},{3,6},{5}}=>[4,2,6,7,5,3,1]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,0] [4,2,6,7,3,1,5]=>{{1,4,7},{2},{3,6},{5}}=>[4,2,6,7,5,3,1]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,0] [4,2,6,7,3,5,1]=>{{1,4,7},{2},{3,6},{5}}=>[4,2,6,7,5,3,1]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,0] [4,2,6,7,5,1,3]=>{{1,4,7},{2},{3,6},{5}}=>[4,2,6,7,5,3,1]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,0] [4,2,6,7,5,3,1]=>{{1,4,7},{2},{3,6},{5}}=>[4,2,6,7,5,3,1]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,0] [4,2,7,1,3,5,6]=>{{1,4},{2},{3,7},{5},{6}}=>[4,2,7,1,5,6,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0] [4,2,7,1,3,6,5]=>{{1,4},{2},{3,7},{5},{6}}=>[4,2,7,1,5,6,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0] [4,2,7,1,5,3,6]=>{{1,4},{2},{3,7},{5},{6}}=>[4,2,7,1,5,6,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0] [4,2,7,1,5,6,3]=>{{1,4},{2},{3,7},{5},{6}}=>[4,2,7,1,5,6,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0] [4,2,7,1,6,3,5]=>{{1,4},{2},{3,7},{5,6}}=>[4,2,7,1,6,5,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0] [4,2,7,1,6,5,3]=>{{1,4},{2},{3,7},{5,6}}=>[4,2,7,1,6,5,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0] [4,2,7,3,1,5,6]=>{{1,4},{2},{3,7},{5},{6}}=>[4,2,7,1,5,6,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0] [4,2,7,3,1,6,5]=>{{1,4},{2},{3,7},{5},{6}}=>[4,2,7,1,5,6,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0] [4,2,7,3,5,1,6]=>{{1,4},{2},{3,7},{5},{6}}=>[4,2,7,1,5,6,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0] [4,2,7,3,5,6,1]=>{{1,4},{2},{3,7},{5},{6}}=>[4,2,7,1,5,6,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0] [4,2,7,3,6,1,5]=>{{1,4},{2},{3,7},{5,6}}=>[4,2,7,1,6,5,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0] [4,2,7,3,6,5,1]=>{{1,4},{2},{3,7},{5,6}}=>[4,2,7,1,6,5,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0] [4,2,7,5,1,3,6]=>{{1,4,5},{2},{3,7},{6}}=>[4,2,7,5,1,6,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0] [4,2,7,5,1,6,3]=>{{1,4,5},{2},{3,7},{6}}=>[4,2,7,5,1,6,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0] [4,2,7,5,3,1,6]=>{{1,4,5},{2},{3,7},{6}}=>[4,2,7,5,1,6,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0] [4,2,7,5,3,6,1]=>{{1,4,5},{2},{3,7},{6}}=>[4,2,7,5,1,6,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0] [4,2,7,5,6,1,3]=>{{1,4,5,6},{2},{3,7}}=>[4,2,7,5,6,1,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0] [4,2,7,5,6,3,1]=>{{1,4,5,6},{2},{3,7}}=>[4,2,7,5,6,1,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0] [4,2,7,6,1,3,5]=>{{1,4,6},{2},{3,7},{5}}=>[4,2,7,6,5,1,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0] [4,2,7,6,1,5,3]=>{{1,4,6},{2},{3,7},{5}}=>[4,2,7,6,5,1,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0] [4,2,7,6,3,1,5]=>{{1,4,6},{2},{3,7},{5}}=>[4,2,7,6,5,1,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0] [4,2,7,6,3,5,1]=>{{1,4,6},{2},{3,7},{5}}=>[4,2,7,6,5,1,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0] [4,2,7,6,5,1,3]=>{{1,4,6},{2},{3,7},{5}}=>[4,2,7,6,5,1,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0] [4,2,7,6,5,3,1]=>{{1,4,6},{2},{3,7},{5}}=>[4,2,7,6,5,1,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0] [4,3,1,2,5,6,7]=>{{1,4},{2,3},{5},{6},{7}}=>[4,3,2,1,5,6,7]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0] [4,3,1,2,5,7,6]=>{{1,4},{2,3},{5},{6,7}}=>[4,3,2,1,5,7,6]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,0] [4,3,1,2,6,5,7]=>{{1,4},{2,3},{5,6},{7}}=>[4,3,2,1,6,5,7]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0] [4,3,1,2,6,7,5]=>{{1,4},{2,3},{5,6,7}}=>[4,3,2,1,6,7,5]=>[1,1,1,1,0,0,0,0,1,1,0,1,0,0] [4,3,1,2,7,5,6]=>{{1,4},{2,3},{5,7},{6}}=>[4,3,2,1,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0] [4,3,1,2,7,6,5]=>{{1,4},{2,3},{5,7},{6}}=>[4,3,2,1,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0] [4,3,1,5,2,6,7]=>{{1,4,5},{2,3},{6},{7}}=>[4,3,2,5,1,6,7]=>[1,1,1,1,0,0,0,1,0,0,1,0,1,0] [4,3,1,5,2,7,6]=>{{1,4,5},{2,3},{6,7}}=>[4,3,2,5,1,7,6]=>[1,1,1,1,0,0,0,1,0,0,1,1,0,0] [4,3,1,5,6,2,7]=>{{1,4,5,6},{2,3},{7}}=>[4,3,2,5,6,1,7]=>[1,1,1,1,0,0,0,1,0,1,0,0,1,0] [4,3,1,5,6,7,2]=>{{1,4,5,6,7},{2,3}}=>[4,3,2,5,6,7,1]=>[1,1,1,1,0,0,0,1,0,1,0,1,0,0] [4,3,1,5,7,2,6]=>{{1,4,5,7},{2,3},{6}}=>[4,3,2,5,7,6,1]=>[1,1,1,1,0,0,0,1,0,1,1,0,0,0] [4,3,1,5,7,6,2]=>{{1,4,5,7},{2,3},{6}}=>[4,3,2,5,7,6,1]=>[1,1,1,1,0,0,0,1,0,1,1,0,0,0] [4,3,1,6,2,5,7]=>{{1,4,6},{2,3},{5},{7}}=>[4,3,2,6,5,1,7]=>[1,1,1,1,0,0,0,1,1,0,0,0,1,0] [4,3,1,6,2,7,5]=>{{1,4,6,7},{2,3},{5}}=>[4,3,2,6,5,7,1]=>[1,1,1,1,0,0,0,1,1,0,0,1,0,0] [4,3,1,6,5,2,7]=>{{1,4,6},{2,3},{5},{7}}=>[4,3,2,6,5,1,7]=>[1,1,1,1,0,0,0,1,1,0,0,0,1,0] [4,3,1,6,5,7,2]=>{{1,4,6,7},{2,3},{5}}=>[4,3,2,6,5,7,1]=>[1,1,1,1,0,0,0,1,1,0,0,1,0,0] [4,3,1,6,7,2,5]=>{{1,4,6},{2,3},{5,7}}=>[4,3,2,6,7,1,5]=>[1,1,1,1,0,0,0,1,1,0,1,0,0,0] [4,3,1,6,7,5,2]=>{{1,4,6},{2,3},{5,7}}=>[4,3,2,6,7,1,5]=>[1,1,1,1,0,0,0,1,1,0,1,0,0,0] [4,3,1,7,2,5,6]=>{{1,4,7},{2,3},{5},{6}}=>[4,3,2,7,5,6,1]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0] [4,3,1,7,2,6,5]=>{{1,4,7},{2,3},{5},{6}}=>[4,3,2,7,5,6,1]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0] [4,3,1,7,5,2,6]=>{{1,4,7},{2,3},{5},{6}}=>[4,3,2,7,5,6,1]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0] [4,3,1,7,5,6,2]=>{{1,4,7},{2,3},{5},{6}}=>[4,3,2,7,5,6,1]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0] [4,3,1,7,6,2,5]=>{{1,4,7},{2,3},{5,6}}=>[4,3,2,7,6,5,1]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0] [4,3,1,7,6,5,2]=>{{1,4,7},{2,3},{5,6}}=>[4,3,2,7,6,5,1]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0] [4,3,2,1,5,6,7]=>{{1,4},{2,3},{5},{6},{7}}=>[4,3,2,1,5,6,7]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0] [4,3,2,1,5,7,6]=>{{1,4},{2,3},{5},{6,7}}=>[4,3,2,1,5,7,6]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,0] [4,3,2,1,6,5,7]=>{{1,4},{2,3},{5,6},{7}}=>[4,3,2,1,6,5,7]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0] [4,3,2,1,6,7,5]=>{{1,4},{2,3},{5,6,7}}=>[4,3,2,1,6,7,5]=>[1,1,1,1,0,0,0,0,1,1,0,1,0,0] [4,3,2,1,7,5,6]=>{{1,4},{2,3},{5,7},{6}}=>[4,3,2,1,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0] [4,3,2,1,7,6,5]=>{{1,4},{2,3},{5,7},{6}}=>[4,3,2,1,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0] [4,3,2,5,1,6,7]=>{{1,4,5},{2,3},{6},{7}}=>[4,3,2,5,1,6,7]=>[1,1,1,1,0,0,0,1,0,0,1,0,1,0] [4,3,2,5,1,7,6]=>{{1,4,5},{2,3},{6,7}}=>[4,3,2,5,1,7,6]=>[1,1,1,1,0,0,0,1,0,0,1,1,0,0] [4,3,2,5,6,1,7]=>{{1,4,5,6},{2,3},{7}}=>[4,3,2,5,6,1,7]=>[1,1,1,1,0,0,0,1,0,1,0,0,1,0] [4,3,2,5,6,7,1]=>{{1,4,5,6,7},{2,3}}=>[4,3,2,5,6,7,1]=>[1,1,1,1,0,0,0,1,0,1,0,1,0,0] [4,3,2,5,7,1,6]=>{{1,4,5,7},{2,3},{6}}=>[4,3,2,5,7,6,1]=>[1,1,1,1,0,0,0,1,0,1,1,0,0,0] [4,3,2,5,7,6,1]=>{{1,4,5,7},{2,3},{6}}=>[4,3,2,5,7,6,1]=>[1,1,1,1,0,0,0,1,0,1,1,0,0,0] [4,3,2,6,1,5,7]=>{{1,4,6},{2,3},{5},{7}}=>[4,3,2,6,5,1,7]=>[1,1,1,1,0,0,0,1,1,0,0,0,1,0] [4,3,2,6,1,7,5]=>{{1,4,6,7},{2,3},{5}}=>[4,3,2,6,5,7,1]=>[1,1,1,1,0,0,0,1,1,0,0,1,0,0] [4,3,2,6,5,1,7]=>{{1,4,6},{2,3},{5},{7}}=>[4,3,2,6,5,1,7]=>[1,1,1,1,0,0,0,1,1,0,0,0,1,0] [4,3,2,6,5,7,1]=>{{1,4,6,7},{2,3},{5}}=>[4,3,2,6,5,7,1]=>[1,1,1,1,0,0,0,1,1,0,0,1,0,0] [4,3,2,6,7,1,5]=>{{1,4,6},{2,3},{5,7}}=>[4,3,2,6,7,1,5]=>[1,1,1,1,0,0,0,1,1,0,1,0,0,0] [4,3,2,6,7,5,1]=>{{1,4,6},{2,3},{5,7}}=>[4,3,2,6,7,1,5]=>[1,1,1,1,0,0,0,1,1,0,1,0,0,0] [4,3,2,7,1,5,6]=>{{1,4,7},{2,3},{5},{6}}=>[4,3,2,7,5,6,1]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0] [4,3,2,7,1,6,5]=>{{1,4,7},{2,3},{5},{6}}=>[4,3,2,7,5,6,1]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0] [4,3,2,7,5,1,6]=>{{1,4,7},{2,3},{5},{6}}=>[4,3,2,7,5,6,1]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0] [4,3,2,7,5,6,1]=>{{1,4,7},{2,3},{5},{6}}=>[4,3,2,7,5,6,1]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0] [4,3,2,7,6,1,5]=>{{1,4,7},{2,3},{5,6}}=>[4,3,2,7,6,5,1]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0] [4,3,2,7,6,5,1]=>{{1,4,7},{2,3},{5,6}}=>[4,3,2,7,6,5,1]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0] [4,3,5,1,2,6,7]=>{{1,4},{2,3,5},{6},{7}}=>[4,3,5,1,2,6,7]=>[1,1,1,1,0,0,1,0,0,0,1,0,1,0] [4,3,5,1,2,7,6]=>{{1,4},{2,3,5},{6,7}}=>[4,3,5,1,2,7,6]=>[1,1,1,1,0,0,1,0,0,0,1,1,0,0] [4,3,5,1,6,2,7]=>{{1,4},{2,3,5,6},{7}}=>[4,3,5,1,6,2,7]=>[1,1,1,1,0,0,1,0,0,1,0,0,1,0] [4,3,5,1,6,7,2]=>{{1,4},{2,3,5,6,7}}=>[4,3,5,1,6,7,2]=>[1,1,1,1,0,0,1,0,0,1,0,1,0,0] [4,3,5,1,7,2,6]=>{{1,4},{2,3,5,7},{6}}=>[4,3,5,1,7,6,2]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,0] [4,3,5,1,7,6,2]=>{{1,4},{2,3,5,7},{6}}=>[4,3,5,1,7,6,2]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,0] [4,3,5,2,1,6,7]=>{{1,4},{2,3,5},{6},{7}}=>[4,3,5,1,2,6,7]=>[1,1,1,1,0,0,1,0,0,0,1,0,1,0] [4,3,5,2,1,7,6]=>{{1,4},{2,3,5},{6,7}}=>[4,3,5,1,2,7,6]=>[1,1,1,1,0,0,1,0,0,0,1,1,0,0] [4,3,5,2,6,1,7]=>{{1,4},{2,3,5,6},{7}}=>[4,3,5,1,6,2,7]=>[1,1,1,1,0,0,1,0,0,1,0,0,1,0] [4,3,5,2,6,7,1]=>{{1,4},{2,3,5,6,7}}=>[4,3,5,1,6,7,2]=>[1,1,1,1,0,0,1,0,0,1,0,1,0,0] [4,3,5,2,7,1,6]=>{{1,4},{2,3,5,7},{6}}=>[4,3,5,1,7,6,2]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,0] [4,3,5,2,7,6,1]=>{{1,4},{2,3,5,7},{6}}=>[4,3,5,1,7,6,2]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,0] [4,3,5,6,1,2,7]=>{{1,4,6},{2,3,5},{7}}=>[4,3,5,6,2,1,7]=>[1,1,1,1,0,0,1,0,1,0,0,0,1,0] [4,3,5,6,1,7,2]=>{{1,4,6,7},{2,3,5}}=>[4,3,5,6,2,7,1]=>[1,1,1,1,0,0,1,0,1,0,0,1,0,0] [4,3,5,6,2,1,7]=>{{1,4,6},{2,3,5},{7}}=>[4,3,5,6,2,1,7]=>[1,1,1,1,0,0,1,0,1,0,0,0,1,0] [4,3,5,6,2,7,1]=>{{1,4,6,7},{2,3,5}}=>[4,3,5,6,2,7,1]=>[1,1,1,1,0,0,1,0,1,0,0,1,0,0] [4,3,5,6,7,1,2]=>{{1,4,6},{2,3,5,7}}=>[4,3,5,6,7,1,2]=>[1,1,1,1,0,0,1,0,1,0,1,0,0,0] [4,3,5,6,7,2,1]=>{{1,4,6},{2,3,5,7}}=>[4,3,5,6,7,1,2]=>[1,1,1,1,0,0,1,0,1,0,1,0,0,0] [4,3,5,7,1,2,6]=>{{1,4,7},{2,3,5},{6}}=>[4,3,5,7,2,6,1]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0] [4,3,5,7,1,6,2]=>{{1,4,7},{2,3,5},{6}}=>[4,3,5,7,2,6,1]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0] [4,3,5,7,2,1,6]=>{{1,4,7},{2,3,5},{6}}=>[4,3,5,7,2,6,1]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0] [4,3,5,7,2,6,1]=>{{1,4,7},{2,3,5},{6}}=>[4,3,5,7,2,6,1]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0] [4,3,5,7,6,1,2]=>{{1,4,7},{2,3,5,6}}=>[4,3,5,7,6,2,1]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0] [4,3,5,7,6,2,1]=>{{1,4,7},{2,3,5,6}}=>[4,3,5,7,6,2,1]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0] [4,3,6,1,2,5,7]=>{{1,4},{2,3,6},{5},{7}}=>[4,3,6,1,5,2,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0] [4,3,6,1,2,7,5]=>{{1,4},{2,3,6,7},{5}}=>[4,3,6,1,5,7,2]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,0] [4,3,6,1,5,2,7]=>{{1,4},{2,3,6},{5},{7}}=>[4,3,6,1,5,2,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0] [4,3,6,1,5,7,2]=>{{1,4},{2,3,6,7},{5}}=>[4,3,6,1,5,7,2]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,0] [4,3,6,1,7,2,5]=>{{1,4},{2,3,6},{5,7}}=>[4,3,6,1,7,2,5]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0] [4,3,6,1,7,5,2]=>{{1,4},{2,3,6},{5,7}}=>[4,3,6,1,7,2,5]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0] [4,3,6,2,1,5,7]=>{{1,4},{2,3,6},{5},{7}}=>[4,3,6,1,5,2,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0] [4,3,6,2,1,7,5]=>{{1,4},{2,3,6,7},{5}}=>[4,3,6,1,5,7,2]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,0] [4,3,6,2,5,1,7]=>{{1,4},{2,3,6},{5},{7}}=>[4,3,6,1,5,2,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0] [4,3,6,2,5,7,1]=>{{1,4},{2,3,6,7},{5}}=>[4,3,6,1,5,7,2]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,0] [4,3,6,2,7,1,5]=>{{1,4},{2,3,6},{5,7}}=>[4,3,6,1,7,2,5]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0] [4,3,6,2,7,5,1]=>{{1,4},{2,3,6},{5,7}}=>[4,3,6,1,7,2,5]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0] [4,3,6,5,1,2,7]=>{{1,4,5},{2,3,6},{7}}=>[4,3,6,5,1,2,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0] [4,3,6,5,1,7,2]=>{{1,4,5},{2,3,6,7}}=>[4,3,6,5,1,7,2]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,0] [4,3,6,5,2,1,7]=>{{1,4,5},{2,3,6},{7}}=>[4,3,6,5,1,2,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0] [4,3,6,5,2,7,1]=>{{1,4,5},{2,3,6,7}}=>[4,3,6,5,1,7,2]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,0] [4,3,6,5,7,1,2]=>{{1,4,5,7},{2,3,6}}=>[4,3,6,5,7,2,1]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0] [4,3,6,5,7,2,1]=>{{1,4,5,7},{2,3,6}}=>[4,3,6,5,7,2,1]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0] [4,3,6,7,1,2,5]=>{{1,4,7},{2,3,6},{5}}=>[4,3,6,7,5,2,1]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,0] [4,3,6,7,1,5,2]=>{{1,4,7},{2,3,6},{5}}=>[4,3,6,7,5,2,1]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,0] [4,3,6,7,2,1,5]=>{{1,4,7},{2,3,6},{5}}=>[4,3,6,7,5,2,1]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,0] [4,3,6,7,2,5,1]=>{{1,4,7},{2,3,6},{5}}=>[4,3,6,7,5,2,1]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,0] [4,3,6,7,5,1,2]=>{{1,4,7},{2,3,6},{5}}=>[4,3,6,7,5,2,1]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,0] [4,3,6,7,5,2,1]=>{{1,4,7},{2,3,6},{5}}=>[4,3,6,7,5,2,1]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,0] [4,3,7,1,2,5,6]=>{{1,4},{2,3,7},{5},{6}}=>[4,3,7,1,5,6,2]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0] [4,3,7,1,2,6,5]=>{{1,4},{2,3,7},{5},{6}}=>[4,3,7,1,5,6,2]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0] [4,3,7,1,5,2,6]=>{{1,4},{2,3,7},{5},{6}}=>[4,3,7,1,5,6,2]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0] [4,3,7,1,5,6,2]=>{{1,4},{2,3,7},{5},{6}}=>[4,3,7,1,5,6,2]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0] [4,3,7,1,6,2,5]=>{{1,4},{2,3,7},{5,6}}=>[4,3,7,1,6,5,2]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0] [4,3,7,1,6,5,2]=>{{1,4},{2,3,7},{5,6}}=>[4,3,7,1,6,5,2]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0] [4,3,7,2,1,5,6]=>{{1,4},{2,3,7},{5},{6}}=>[4,3,7,1,5,6,2]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0] [4,3,7,2,1,6,5]=>{{1,4},{2,3,7},{5},{6}}=>[4,3,7,1,5,6,2]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0] [4,3,7,2,5,1,6]=>{{1,4},{2,3,7},{5},{6}}=>[4,3,7,1,5,6,2]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0] [4,3,7,2,5,6,1]=>{{1,4},{2,3,7},{5},{6}}=>[4,3,7,1,5,6,2]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0] [4,3,7,2,6,1,5]=>{{1,4},{2,3,7},{5,6}}=>[4,3,7,1,6,5,2]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0] [4,3,7,2,6,5,1]=>{{1,4},{2,3,7},{5,6}}=>[4,3,7,1,6,5,2]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0] [4,3,7,5,1,2,6]=>{{1,4,5},{2,3,7},{6}}=>[4,3,7,5,1,6,2]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0] [4,3,7,5,1,6,2]=>{{1,4,5},{2,3,7},{6}}=>[4,3,7,5,1,6,2]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0] [4,3,7,5,2,1,6]=>{{1,4,5},{2,3,7},{6}}=>[4,3,7,5,1,6,2]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0] [4,3,7,5,2,6,1]=>{{1,4,5},{2,3,7},{6}}=>[4,3,7,5,1,6,2]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0] [4,3,7,5,6,1,2]=>{{1,4,5,6},{2,3,7}}=>[4,3,7,5,6,1,2]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0] [4,3,7,5,6,2,1]=>{{1,4,5,6},{2,3,7}}=>[4,3,7,5,6,1,2]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0] [4,3,7,6,1,2,5]=>{{1,4,6},{2,3,7},{5}}=>[4,3,7,6,5,1,2]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0] [4,3,7,6,1,5,2]=>{{1,4,6},{2,3,7},{5}}=>[4,3,7,6,5,1,2]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0] [4,3,7,6,2,1,5]=>{{1,4,6},{2,3,7},{5}}=>[4,3,7,6,5,1,2]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0] [4,3,7,6,2,5,1]=>{{1,4,6},{2,3,7},{5}}=>[4,3,7,6,5,1,2]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0] [4,3,7,6,5,1,2]=>{{1,4,6},{2,3,7},{5}}=>[4,3,7,6,5,1,2]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0] [4,3,7,6,5,2,1]=>{{1,4,6},{2,3,7},{5}}=>[4,3,7,6,5,1,2]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0] [4,5,1,2,3,6,7]=>{{1,4},{2,5},{3},{6},{7}}=>[4,5,3,1,2,6,7]=>[1,1,1,1,0,1,0,0,0,0,1,0,1,0] [4,5,1,2,3,7,6]=>{{1,4},{2,5},{3},{6,7}}=>[4,5,3,1,2,7,6]=>[1,1,1,1,0,1,0,0,0,0,1,1,0,0] [4,5,1,2,6,3,7]=>{{1,4},{2,5,6},{3},{7}}=>[4,5,3,1,6,2,7]=>[1,1,1,1,0,1,0,0,0,1,0,0,1,0] [4,5,1,2,6,7,3]=>{{1,4},{2,5,6,7},{3}}=>[4,5,3,1,6,7,2]=>[1,1,1,1,0,1,0,0,0,1,0,1,0,0] [4,5,1,2,7,3,6]=>{{1,4},{2,5,7},{3},{6}}=>[4,5,3,1,7,6,2]=>[1,1,1,1,0,1,0,0,0,1,1,0,0,0] [4,5,1,2,7,6,3]=>{{1,4},{2,5,7},{3},{6}}=>[4,5,3,1,7,6,2]=>[1,1,1,1,0,1,0,0,0,1,1,0,0,0] [4,5,1,3,2,6,7]=>{{1,4},{2,5},{3},{6},{7}}=>[4,5,3,1,2,6,7]=>[1,1,1,1,0,1,0,0,0,0,1,0,1,0] [4,5,1,3,2,7,6]=>{{1,4},{2,5},{3},{6,7}}=>[4,5,3,1,2,7,6]=>[1,1,1,1,0,1,0,0,0,0,1,1,0,0] [4,5,1,3,6,2,7]=>{{1,4},{2,5,6},{3},{7}}=>[4,5,3,1,6,2,7]=>[1,1,1,1,0,1,0,0,0,1,0,0,1,0] [4,5,1,3,6,7,2]=>{{1,4},{2,5,6,7},{3}}=>[4,5,3,1,6,7,2]=>[1,1,1,1,0,1,0,0,0,1,0,1,0,0] [4,5,1,3,7,2,6]=>{{1,4},{2,5,7},{3},{6}}=>[4,5,3,1,7,6,2]=>[1,1,1,1,0,1,0,0,0,1,1,0,0,0] [4,5,1,3,7,6,2]=>{{1,4},{2,5,7},{3},{6}}=>[4,5,3,1,7,6,2]=>[1,1,1,1,0,1,0,0,0,1,1,0,0,0] [4,5,1,6,2,3,7]=>{{1,4,6},{2,5},{3},{7}}=>[4,5,3,6,2,1,7]=>[1,1,1,1,0,1,0,0,1,0,0,0,1,0] [4,5,1,6,2,7,3]=>{{1,4,6,7},{2,5},{3}}=>[4,5,3,6,2,7,1]=>[1,1,1,1,0,1,0,0,1,0,0,1,0,0] [4,5,1,6,3,2,7]=>{{1,4,6},{2,5},{3},{7}}=>[4,5,3,6,2,1,7]=>[1,1,1,1,0,1,0,0,1,0,0,0,1,0] [4,5,1,6,3,7,2]=>{{1,4,6,7},{2,5},{3}}=>[4,5,3,6,2,7,1]=>[1,1,1,1,0,1,0,0,1,0,0,1,0,0] [4,5,1,6,7,2,3]=>{{1,4,6},{2,5,7},{3}}=>[4,5,3,6,7,1,2]=>[1,1,1,1,0,1,0,0,1,0,1,0,0,0] [4,5,1,6,7,3,2]=>{{1,4,6},{2,5,7},{3}}=>[4,5,3,6,7,1,2]=>[1,1,1,1,0,1,0,0,1,0,1,0,0,0] [4,5,1,7,2,3,6]=>{{1,4,7},{2,5},{3},{6}}=>[4,5,3,7,2,6,1]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0] [4,5,1,7,2,6,3]=>{{1,4,7},{2,5},{3},{6}}=>[4,5,3,7,2,6,1]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0] [4,5,1,7,3,2,6]=>{{1,4,7},{2,5},{3},{6}}=>[4,5,3,7,2,6,1]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0] [4,5,1,7,3,6,2]=>{{1,4,7},{2,5},{3},{6}}=>[4,5,3,7,2,6,1]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0] [4,5,1,7,6,2,3]=>{{1,4,7},{2,5,6},{3}}=>[4,5,3,7,6,2,1]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0] [4,5,1,7,6,3,2]=>{{1,4,7},{2,5,6},{3}}=>[4,5,3,7,6,2,1]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0] [4,5,2,1,3,6,7]=>{{1,4},{2,5},{3},{6},{7}}=>[4,5,3,1,2,6,7]=>[1,1,1,1,0,1,0,0,0,0,1,0,1,0] [4,5,2,1,3,7,6]=>{{1,4},{2,5},{3},{6,7}}=>[4,5,3,1,2,7,6]=>[1,1,1,1,0,1,0,0,0,0,1,1,0,0] [4,5,2,1,6,3,7]=>{{1,4},{2,5,6},{3},{7}}=>[4,5,3,1,6,2,7]=>[1,1,1,1,0,1,0,0,0,1,0,0,1,0] [4,5,2,1,6,7,3]=>{{1,4},{2,5,6,7},{3}}=>[4,5,3,1,6,7,2]=>[1,1,1,1,0,1,0,0,0,1,0,1,0,0] [4,5,2,1,7,3,6]=>{{1,4},{2,5,7},{3},{6}}=>[4,5,3,1,7,6,2]=>[1,1,1,1,0,1,0,0,0,1,1,0,0,0] [4,5,2,1,7,6,3]=>{{1,4},{2,5,7},{3},{6}}=>[4,5,3,1,7,6,2]=>[1,1,1,1,0,1,0,0,0,1,1,0,0,0] [4,5,2,3,1,6,7]=>{{1,4},{2,5},{3},{6},{7}}=>[4,5,3,1,2,6,7]=>[1,1,1,1,0,1,0,0,0,0,1,0,1,0] [4,5,2,3,1,7,6]=>{{1,4},{2,5},{3},{6,7}}=>[4,5,3,1,2,7,6]=>[1,1,1,1,0,1,0,0,0,0,1,1,0,0] [4,5,2,3,6,1,7]=>{{1,4},{2,5,6},{3},{7}}=>[4,5,3,1,6,2,7]=>[1,1,1,1,0,1,0,0,0,1,0,0,1,0] [4,5,2,3,6,7,1]=>{{1,4},{2,5,6,7},{3}}=>[4,5,3,1,6,7,2]=>[1,1,1,1,0,1,0,0,0,1,0,1,0,0] [4,5,2,3,7,1,6]=>{{1,4},{2,5,7},{3},{6}}=>[4,5,3,1,7,6,2]=>[1,1,1,1,0,1,0,0,0,1,1,0,0,0] [4,5,2,3,7,6,1]=>{{1,4},{2,5,7},{3},{6}}=>[4,5,3,1,7,6,2]=>[1,1,1,1,0,1,0,0,0,1,1,0,0,0] [4,5,2,6,1,3,7]=>{{1,4,6},{2,5},{3},{7}}=>[4,5,3,6,2,1,7]=>[1,1,1,1,0,1,0,0,1,0,0,0,1,0] [4,5,2,6,1,7,3]=>{{1,4,6,7},{2,5},{3}}=>[4,5,3,6,2,7,1]=>[1,1,1,1,0,1,0,0,1,0,0,1,0,0] [4,5,2,6,3,1,7]=>{{1,4,6},{2,5},{3},{7}}=>[4,5,3,6,2,1,7]=>[1,1,1,1,0,1,0,0,1,0,0,0,1,0] [4,5,2,6,3,7,1]=>{{1,4,6,7},{2,5},{3}}=>[4,5,3,6,2,7,1]=>[1,1,1,1,0,1,0,0,1,0,0,1,0,0] [4,5,2,6,7,1,3]=>{{1,4,6},{2,5,7},{3}}=>[4,5,3,6,7,1,2]=>[1,1,1,1,0,1,0,0,1,0,1,0,0,0] [4,5,2,6,7,3,1]=>{{1,4,6},{2,5,7},{3}}=>[4,5,3,6,7,1,2]=>[1,1,1,1,0,1,0,0,1,0,1,0,0,0] [4,5,2,7,1,3,6]=>{{1,4,7},{2,5},{3},{6}}=>[4,5,3,7,2,6,1]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0] [4,5,2,7,1,6,3]=>{{1,4,7},{2,5},{3},{6}}=>[4,5,3,7,2,6,1]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0] [4,5,2,7,3,1,6]=>{{1,4,7},{2,5},{3},{6}}=>[4,5,3,7,2,6,1]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0] [4,5,2,7,3,6,1]=>{{1,4,7},{2,5},{3},{6}}=>[4,5,3,7,2,6,1]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0] [4,5,2,7,6,1,3]=>{{1,4,7},{2,5,6},{3}}=>[4,5,3,7,6,2,1]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0] [4,5,2,7,6,3,1]=>{{1,4,7},{2,5,6},{3}}=>[4,5,3,7,6,2,1]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0] [4,5,3,1,2,6,7]=>{{1,4},{2,5},{3},{6},{7}}=>[4,5,3,1,2,6,7]=>[1,1,1,1,0,1,0,0,0,0,1,0,1,0] [4,5,3,1,2,7,6]=>{{1,4},{2,5},{3},{6,7}}=>[4,5,3,1,2,7,6]=>[1,1,1,1,0,1,0,0,0,0,1,1,0,0] [4,5,3,1,6,2,7]=>{{1,4},{2,5,6},{3},{7}}=>[4,5,3,1,6,2,7]=>[1,1,1,1,0,1,0,0,0,1,0,0,1,0] [4,5,3,1,6,7,2]=>{{1,4},{2,5,6,7},{3}}=>[4,5,3,1,6,7,2]=>[1,1,1,1,0,1,0,0,0,1,0,1,0,0] [4,5,3,1,7,2,6]=>{{1,4},{2,5,7},{3},{6}}=>[4,5,3,1,7,6,2]=>[1,1,1,1,0,1,0,0,0,1,1,0,0,0] [4,5,3,1,7,6,2]=>{{1,4},{2,5,7},{3},{6}}=>[4,5,3,1,7,6,2]=>[1,1,1,1,0,1,0,0,0,1,1,0,0,0] [4,5,3,2,1,6,7]=>{{1,4},{2,5},{3},{6},{7}}=>[4,5,3,1,2,6,7]=>[1,1,1,1,0,1,0,0,0,0,1,0,1,0] [4,5,3,2,1,7,6]=>{{1,4},{2,5},{3},{6,7}}=>[4,5,3,1,2,7,6]=>[1,1,1,1,0,1,0,0,0,0,1,1,0,0] [4,5,3,2,6,1,7]=>{{1,4},{2,5,6},{3},{7}}=>[4,5,3,1,6,2,7]=>[1,1,1,1,0,1,0,0,0,1,0,0,1,0] [4,5,3,2,6,7,1]=>{{1,4},{2,5,6,7},{3}}=>[4,5,3,1,6,7,2]=>[1,1,1,1,0,1,0,0,0,1,0,1,0,0] [4,5,3,2,7,1,6]=>{{1,4},{2,5,7},{3},{6}}=>[4,5,3,1,7,6,2]=>[1,1,1,1,0,1,0,0,0,1,1,0,0,0] [4,5,3,2,7,6,1]=>{{1,4},{2,5,7},{3},{6}}=>[4,5,3,1,7,6,2]=>[1,1,1,1,0,1,0,0,0,1,1,0,0,0] [4,5,3,6,1,2,7]=>{{1,4,6},{2,5},{3},{7}}=>[4,5,3,6,2,1,7]=>[1,1,1,1,0,1,0,0,1,0,0,0,1,0] [4,5,3,6,1,7,2]=>{{1,4,6,7},{2,5},{3}}=>[4,5,3,6,2,7,1]=>[1,1,1,1,0,1,0,0,1,0,0,1,0,0] [4,5,3,6,2,1,7]=>{{1,4,6},{2,5},{3},{7}}=>[4,5,3,6,2,1,7]=>[1,1,1,1,0,1,0,0,1,0,0,0,1,0] [4,5,3,6,2,7,1]=>{{1,4,6,7},{2,5},{3}}=>[4,5,3,6,2,7,1]=>[1,1,1,1,0,1,0,0,1,0,0,1,0,0] [4,5,3,6,7,1,2]=>{{1,4,6},{2,5,7},{3}}=>[4,5,3,6,7,1,2]=>[1,1,1,1,0,1,0,0,1,0,1,0,0,0] [4,5,3,6,7,2,1]=>{{1,4,6},{2,5,7},{3}}=>[4,5,3,6,7,1,2]=>[1,1,1,1,0,1,0,0,1,0,1,0,0,0] [4,5,3,7,1,2,6]=>{{1,4,7},{2,5},{3},{6}}=>[4,5,3,7,2,6,1]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0] [4,5,3,7,1,6,2]=>{{1,4,7},{2,5},{3},{6}}=>[4,5,3,7,2,6,1]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0] [4,5,3,7,2,1,6]=>{{1,4,7},{2,5},{3},{6}}=>[4,5,3,7,2,6,1]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0] [4,5,3,7,2,6,1]=>{{1,4,7},{2,5},{3},{6}}=>[4,5,3,7,2,6,1]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0] [4,5,3,7,6,1,2]=>{{1,4,7},{2,5,6},{3}}=>[4,5,3,7,6,2,1]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0] [4,5,3,7,6,2,1]=>{{1,4,7},{2,5,6},{3}}=>[4,5,3,7,6,2,1]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0] [4,5,6,1,2,3,7]=>{{1,4},{2,5},{3,6},{7}}=>[4,5,6,1,2,3,7]=>[1,1,1,1,0,1,0,1,0,0,0,0,1,0] [4,5,6,1,2,7,3]=>{{1,4},{2,5},{3,6,7}}=>[4,5,6,1,2,7,3]=>[1,1,1,1,0,1,0,1,0,0,0,1,0,0] [4,5,6,1,3,2,7]=>{{1,4},{2,5},{3,6},{7}}=>[4,5,6,1,2,3,7]=>[1,1,1,1,0,1,0,1,0,0,0,0,1,0] [4,5,6,1,3,7,2]=>{{1,4},{2,5},{3,6,7}}=>[4,5,6,1,2,7,3]=>[1,1,1,1,0,1,0,1,0,0,0,1,0,0] [4,5,6,1,7,2,3]=>{{1,4},{2,5,7},{3,6}}=>[4,5,6,1,7,3,2]=>[1,1,1,1,0,1,0,1,0,0,1,0,0,0] [4,5,6,1,7,3,2]=>{{1,4},{2,5,7},{3,6}}=>[4,5,6,1,7,3,2]=>[1,1,1,1,0,1,0,1,0,0,1,0,0,0] [4,5,6,2,1,3,7]=>{{1,4},{2,5},{3,6},{7}}=>[4,5,6,1,2,3,7]=>[1,1,1,1,0,1,0,1,0,0,0,0,1,0] [4,5,6,2,1,7,3]=>{{1,4},{2,5},{3,6,7}}=>[4,5,6,1,2,7,3]=>[1,1,1,1,0,1,0,1,0,0,0,1,0,0] [4,5,6,2,3,1,7]=>{{1,4},{2,5},{3,6},{7}}=>[4,5,6,1,2,3,7]=>[1,1,1,1,0,1,0,1,0,0,0,0,1,0] [4,5,6,2,3,7,1]=>{{1,4},{2,5},{3,6,7}}=>[4,5,6,1,2,7,3]=>[1,1,1,1,0,1,0,1,0,0,0,1,0,0] [4,5,6,2,7,1,3]=>{{1,4},{2,5,7},{3,6}}=>[4,5,6,1,7,3,2]=>[1,1,1,1,0,1,0,1,0,0,1,0,0,0] [4,5,6,2,7,3,1]=>{{1,4},{2,5,7},{3,6}}=>[4,5,6,1,7,3,2]=>[1,1,1,1,0,1,0,1,0,0,1,0,0,0] [4,5,6,3,1,2,7]=>{{1,4},{2,5},{3,6},{7}}=>[4,5,6,1,2,3,7]=>[1,1,1,1,0,1,0,1,0,0,0,0,1,0] [4,5,6,3,1,7,2]=>{{1,4},{2,5},{3,6,7}}=>[4,5,6,1,2,7,3]=>[1,1,1,1,0,1,0,1,0,0,0,1,0,0] [4,5,6,3,2,1,7]=>{{1,4},{2,5},{3,6},{7}}=>[4,5,6,1,2,3,7]=>[1,1,1,1,0,1,0,1,0,0,0,0,1,0] [4,5,6,3,2,7,1]=>{{1,4},{2,5},{3,6,7}}=>[4,5,6,1,2,7,3]=>[1,1,1,1,0,1,0,1,0,0,0,1,0,0] [4,5,6,3,7,1,2]=>{{1,4},{2,5,7},{3,6}}=>[4,5,6,1,7,3,2]=>[1,1,1,1,0,1,0,1,0,0,1,0,0,0] [4,5,6,3,7,2,1]=>{{1,4},{2,5,7},{3,6}}=>[4,5,6,1,7,3,2]=>[1,1,1,1,0,1,0,1,0,0,1,0,0,0] [4,5,6,7,1,2,3]=>{{1,4,7},{2,5},{3,6}}=>[4,5,6,7,2,3,1]=>[1,1,1,1,0,1,0,1,0,1,0,0,0,0] [4,5,6,7,1,3,2]=>{{1,4,7},{2,5},{3,6}}=>[4,5,6,7,2,3,1]=>[1,1,1,1,0,1,0,1,0,1,0,0,0,0] [4,5,6,7,2,1,3]=>{{1,4,7},{2,5},{3,6}}=>[4,5,6,7,2,3,1]=>[1,1,1,1,0,1,0,1,0,1,0,0,0,0] [4,5,6,7,2,3,1]=>{{1,4,7},{2,5},{3,6}}=>[4,5,6,7,2,3,1]=>[1,1,1,1,0,1,0,1,0,1,0,0,0,0] [4,5,6,7,3,1,2]=>{{1,4,7},{2,5},{3,6}}=>[4,5,6,7,2,3,1]=>[1,1,1,1,0,1,0,1,0,1,0,0,0,0] [4,5,6,7,3,2,1]=>{{1,4,7},{2,5},{3,6}}=>[4,5,6,7,2,3,1]=>[1,1,1,1,0,1,0,1,0,1,0,0,0,0] [4,5,7,1,2,3,6]=>{{1,4},{2,5},{3,7},{6}}=>[4,5,7,1,2,6,3]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0] [4,5,7,1,2,6,3]=>{{1,4},{2,5},{3,7},{6}}=>[4,5,7,1,2,6,3]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0] [4,5,7,1,3,2,6]=>{{1,4},{2,5},{3,7},{6}}=>[4,5,7,1,2,6,3]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0] [4,5,7,1,3,6,2]=>{{1,4},{2,5},{3,7},{6}}=>[4,5,7,1,2,6,3]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0] [4,5,7,1,6,2,3]=>{{1,4},{2,5,6},{3,7}}=>[4,5,7,1,6,2,3]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0] [4,5,7,1,6,3,2]=>{{1,4},{2,5,6},{3,7}}=>[4,5,7,1,6,2,3]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0] [4,5,7,2,1,3,6]=>{{1,4},{2,5},{3,7},{6}}=>[4,5,7,1,2,6,3]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0] [4,5,7,2,1,6,3]=>{{1,4},{2,5},{3,7},{6}}=>[4,5,7,1,2,6,3]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0] [4,5,7,2,3,1,6]=>{{1,4},{2,5},{3,7},{6}}=>[4,5,7,1,2,6,3]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0] [4,5,7,2,3,6,1]=>{{1,4},{2,5},{3,7},{6}}=>[4,5,7,1,2,6,3]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0] [4,5,7,2,6,1,3]=>{{1,4},{2,5,6},{3,7}}=>[4,5,7,1,6,2,3]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0] [4,5,7,2,6,3,1]=>{{1,4},{2,5,6},{3,7}}=>[4,5,7,1,6,2,3]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0] [4,5,7,3,1,2,6]=>{{1,4},{2,5},{3,7},{6}}=>[4,5,7,1,2,6,3]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0] [4,5,7,3,1,6,2]=>{{1,4},{2,5},{3,7},{6}}=>[4,5,7,1,2,6,3]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0] [4,5,7,3,2,1,6]=>{{1,4},{2,5},{3,7},{6}}=>[4,5,7,1,2,6,3]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0] [4,5,7,3,2,6,1]=>{{1,4},{2,5},{3,7},{6}}=>[4,5,7,1,2,6,3]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0] [4,5,7,3,6,1,2]=>{{1,4},{2,5,6},{3,7}}=>[4,5,7,1,6,2,3]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0] [4,5,7,3,6,2,1]=>{{1,4},{2,5,6},{3,7}}=>[4,5,7,1,6,2,3]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0] [4,5,7,6,1,2,3]=>{{1,4,6},{2,5},{3,7}}=>[4,5,7,6,2,1,3]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0] [4,5,7,6,1,3,2]=>{{1,4,6},{2,5},{3,7}}=>[4,5,7,6,2,1,3]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0] [4,5,7,6,2,1,3]=>{{1,4,6},{2,5},{3,7}}=>[4,5,7,6,2,1,3]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0] [4,5,7,6,2,3,1]=>{{1,4,6},{2,5},{3,7}}=>[4,5,7,6,2,1,3]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0] [4,5,7,6,3,1,2]=>{{1,4,6},{2,5},{3,7}}=>[4,5,7,6,2,1,3]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0] [4,5,7,6,3,2,1]=>{{1,4,6},{2,5},{3,7}}=>[4,5,7,6,2,1,3]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0] [4,6,1,2,3,5,7]=>{{1,4},{2,6},{3},{5},{7}}=>[4,6,3,1,5,2,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0] [4,6,1,2,3,7,5]=>{{1,4},{2,6,7},{3},{5}}=>[4,6,3,1,5,7,2]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0] [4,6,1,2,5,3,7]=>{{1,4},{2,6},{3},{5},{7}}=>[4,6,3,1,5,2,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0] [4,6,1,2,5,7,3]=>{{1,4},{2,6,7},{3},{5}}=>[4,6,3,1,5,7,2]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0] [4,6,1,2,7,3,5]=>{{1,4},{2,6},{3},{5,7}}=>[4,6,3,1,7,2,5]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0] [4,6,1,2,7,5,3]=>{{1,4},{2,6},{3},{5,7}}=>[4,6,3,1,7,2,5]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0] [4,6,1,3,2,5,7]=>{{1,4},{2,6},{3},{5},{7}}=>[4,6,3,1,5,2,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0] [4,6,1,3,2,7,5]=>{{1,4},{2,6,7},{3},{5}}=>[4,6,3,1,5,7,2]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0] [4,6,1,3,5,2,7]=>{{1,4},{2,6},{3},{5},{7}}=>[4,6,3,1,5,2,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0] [4,6,1,3,5,7,2]=>{{1,4},{2,6,7},{3},{5}}=>[4,6,3,1,5,7,2]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0] [4,6,1,3,7,2,5]=>{{1,4},{2,6},{3},{5,7}}=>[4,6,3,1,7,2,5]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0] [4,6,1,3,7,5,2]=>{{1,4},{2,6},{3},{5,7}}=>[4,6,3,1,7,2,5]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0] [4,6,1,5,2,3,7]=>{{1,4,5},{2,6},{3},{7}}=>[4,6,3,5,1,2,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0] [4,6,1,5,2,7,3]=>{{1,4,5},{2,6,7},{3}}=>[4,6,3,5,1,7,2]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0] [4,6,1,5,3,2,7]=>{{1,4,5},{2,6},{3},{7}}=>[4,6,3,5,1,2,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0] [4,6,1,5,3,7,2]=>{{1,4,5},{2,6,7},{3}}=>[4,6,3,5,1,7,2]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0] [4,6,1,5,7,2,3]=>{{1,4,5,7},{2,6},{3}}=>[4,6,3,5,7,2,1]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0] [4,6,1,5,7,3,2]=>{{1,4,5,7},{2,6},{3}}=>[4,6,3,5,7,2,1]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0] [4,6,1,7,2,3,5]=>{{1,4,7},{2,6},{3},{5}}=>[4,6,3,7,5,2,1]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0] [4,6,1,7,2,5,3]=>{{1,4,7},{2,6},{3},{5}}=>[4,6,3,7,5,2,1]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0] [4,6,1,7,3,2,5]=>{{1,4,7},{2,6},{3},{5}}=>[4,6,3,7,5,2,1]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0] [4,6,1,7,3,5,2]=>{{1,4,7},{2,6},{3},{5}}=>[4,6,3,7,5,2,1]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0] [4,6,1,7,5,2,3]=>{{1,4,7},{2,6},{3},{5}}=>[4,6,3,7,5,2,1]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0] [4,6,1,7,5,3,2]=>{{1,4,7},{2,6},{3},{5}}=>[4,6,3,7,5,2,1]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0] [4,6,2,1,3,5,7]=>{{1,4},{2,6},{3},{5},{7}}=>[4,6,3,1,5,2,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0] [4,6,2,1,3,7,5]=>{{1,4},{2,6,7},{3},{5}}=>[4,6,3,1,5,7,2]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0] [4,6,2,1,5,3,7]=>{{1,4},{2,6},{3},{5},{7}}=>[4,6,3,1,5,2,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0] [4,6,2,1,5,7,3]=>{{1,4},{2,6,7},{3},{5}}=>[4,6,3,1,5,7,2]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0] [4,6,2,1,7,3,5]=>{{1,4},{2,6},{3},{5,7}}=>[4,6,3,1,7,2,5]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0] [4,6,2,1,7,5,3]=>{{1,4},{2,6},{3},{5,7}}=>[4,6,3,1,7,2,5]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0] [4,6,2,3,1,5,7]=>{{1,4},{2,6},{3},{5},{7}}=>[4,6,3,1,5,2,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0] [4,6,2,3,1,7,5]=>{{1,4},{2,6,7},{3},{5}}=>[4,6,3,1,5,7,2]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0] [4,6,2,3,5,1,7]=>{{1,4},{2,6},{3},{5},{7}}=>[4,6,3,1,5,2,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0] [4,6,2,3,5,7,1]=>{{1,4},{2,6,7},{3},{5}}=>[4,6,3,1,5,7,2]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0] [4,6,2,3,7,1,5]=>{{1,4},{2,6},{3},{5,7}}=>[4,6,3,1,7,2,5]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0] [4,6,2,3,7,5,1]=>{{1,4},{2,6},{3},{5,7}}=>[4,6,3,1,7,2,5]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0] [4,6,2,5,1,3,7]=>{{1,4,5},{2,6},{3},{7}}=>[4,6,3,5,1,2,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0] [4,6,2,5,1,7,3]=>{{1,4,5},{2,6,7},{3}}=>[4,6,3,5,1,7,2]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0] [4,6,2,5,3,1,7]=>{{1,4,5},{2,6},{3},{7}}=>[4,6,3,5,1,2,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0] [4,6,2,5,3,7,1]=>{{1,4,5},{2,6,7},{3}}=>[4,6,3,5,1,7,2]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0] [4,6,2,5,7,1,3]=>{{1,4,5,7},{2,6},{3}}=>[4,6,3,5,7,2,1]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0] [4,6,2,5,7,3,1]=>{{1,4,5,7},{2,6},{3}}=>[4,6,3,5,7,2,1]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0] [4,6,2,7,1,3,5]=>{{1,4,7},{2,6},{3},{5}}=>[4,6,3,7,5,2,1]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0] [4,6,2,7,1,5,3]=>{{1,4,7},{2,6},{3},{5}}=>[4,6,3,7,5,2,1]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0] [4,6,2,7,3,1,5]=>{{1,4,7},{2,6},{3},{5}}=>[4,6,3,7,5,2,1]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0] [4,6,2,7,3,5,1]=>{{1,4,7},{2,6},{3},{5}}=>[4,6,3,7,5,2,1]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0] [4,6,2,7,5,1,3]=>{{1,4,7},{2,6},{3},{5}}=>[4,6,3,7,5,2,1]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0] [4,6,2,7,5,3,1]=>{{1,4,7},{2,6},{3},{5}}=>[4,6,3,7,5,2,1]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0] [4,6,3,1,2,5,7]=>{{1,4},{2,6},{3},{5},{7}}=>[4,6,3,1,5,2,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0] [4,6,3,1,2,7,5]=>{{1,4},{2,6,7},{3},{5}}=>[4,6,3,1,5,7,2]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0] [4,6,3,1,5,2,7]=>{{1,4},{2,6},{3},{5},{7}}=>[4,6,3,1,5,2,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0] [4,6,3,1,5,7,2]=>{{1,4},{2,6,7},{3},{5}}=>[4,6,3,1,5,7,2]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0] [4,6,3,1,7,2,5]=>{{1,4},{2,6},{3},{5,7}}=>[4,6,3,1,7,2,5]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0] [4,6,3,1,7,5,2]=>{{1,4},{2,6},{3},{5,7}}=>[4,6,3,1,7,2,5]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0] [4,6,3,2,1,5,7]=>{{1,4},{2,6},{3},{5},{7}}=>[4,6,3,1,5,2,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0] [4,6,3,2,1,7,5]=>{{1,4},{2,6,7},{3},{5}}=>[4,6,3,1,5,7,2]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0] [4,6,3,2,5,1,7]=>{{1,4},{2,6},{3},{5},{7}}=>[4,6,3,1,5,2,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0] [4,6,3,2,5,7,1]=>{{1,4},{2,6,7},{3},{5}}=>[4,6,3,1,5,7,2]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0] [4,6,3,2,7,1,5]=>{{1,4},{2,6},{3},{5,7}}=>[4,6,3,1,7,2,5]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0] [4,6,3,2,7,5,1]=>{{1,4},{2,6},{3},{5,7}}=>[4,6,3,1,7,2,5]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0] [4,6,3,5,1,2,7]=>{{1,4,5},{2,6},{3},{7}}=>[4,6,3,5,1,2,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0] [4,6,3,5,1,7,2]=>{{1,4,5},{2,6,7},{3}}=>[4,6,3,5,1,7,2]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0] [4,6,3,5,2,1,7]=>{{1,4,5},{2,6},{3},{7}}=>[4,6,3,5,1,2,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0] [4,6,3,5,2,7,1]=>{{1,4,5},{2,6,7},{3}}=>[4,6,3,5,1,7,2]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0] [4,6,3,5,7,1,2]=>{{1,4,5,7},{2,6},{3}}=>[4,6,3,5,7,2,1]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0] [4,6,3,5,7,2,1]=>{{1,4,5,7},{2,6},{3}}=>[4,6,3,5,7,2,1]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0] [4,6,3,7,1,2,5]=>{{1,4,7},{2,6},{3},{5}}=>[4,6,3,7,5,2,1]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0] [4,6,3,7,1,5,2]=>{{1,4,7},{2,6},{3},{5}}=>[4,6,3,7,5,2,1]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0] [4,6,3,7,2,1,5]=>{{1,4,7},{2,6},{3},{5}}=>[4,6,3,7,5,2,1]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0] [4,6,3,7,2,5,1]=>{{1,4,7},{2,6},{3},{5}}=>[4,6,3,7,5,2,1]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0] [4,6,3,7,5,1,2]=>{{1,4,7},{2,6},{3},{5}}=>[4,6,3,7,5,2,1]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0] [4,6,3,7,5,2,1]=>{{1,4,7},{2,6},{3},{5}}=>[4,6,3,7,5,2,1]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0] [4,6,5,1,2,3,7]=>{{1,4},{2,6},{3,5},{7}}=>[4,6,5,1,3,2,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0] [4,6,5,1,2,7,3]=>{{1,4},{2,6,7},{3,5}}=>[4,6,5,1,3,7,2]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0] [4,6,5,1,3,2,7]=>{{1,4},{2,6},{3,5},{7}}=>[4,6,5,1,3,2,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0] [4,6,5,1,3,7,2]=>{{1,4},{2,6,7},{3,5}}=>[4,6,5,1,3,7,2]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0] [4,6,5,1,7,2,3]=>{{1,4},{2,6},{3,5,7}}=>[4,6,5,1,7,2,3]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0] [4,6,5,1,7,3,2]=>{{1,4},{2,6},{3,5,7}}=>[4,6,5,1,7,2,3]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0] [4,6,5,2,1,3,7]=>{{1,4},{2,6},{3,5},{7}}=>[4,6,5,1,3,2,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0] [4,6,5,2,1,7,3]=>{{1,4},{2,6,7},{3,5}}=>[4,6,5,1,3,7,2]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0] [4,6,5,2,3,1,7]=>{{1,4},{2,6},{3,5},{7}}=>[4,6,5,1,3,2,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0] [4,6,5,2,3,7,1]=>{{1,4},{2,6,7},{3,5}}=>[4,6,5,1,3,7,2]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0] [4,6,5,2,7,1,3]=>{{1,4},{2,6},{3,5,7}}=>[4,6,5,1,7,2,3]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0] [4,6,5,2,7,3,1]=>{{1,4},{2,6},{3,5,7}}=>[4,6,5,1,7,2,3]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0] [4,6,5,3,1,2,7]=>{{1,4},{2,6},{3,5},{7}}=>[4,6,5,1,3,2,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0] [4,6,5,3,1,7,2]=>{{1,4},{2,6,7},{3,5}}=>[4,6,5,1,3,7,2]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0] [4,6,5,3,2,1,7]=>{{1,4},{2,6},{3,5},{7}}=>[4,6,5,1,3,2,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0] [4,6,5,3,2,7,1]=>{{1,4},{2,6,7},{3,5}}=>[4,6,5,1,3,7,2]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0] [4,6,5,3,7,1,2]=>{{1,4},{2,6},{3,5,7}}=>[4,6,5,1,7,2,3]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0] [4,6,5,3,7,2,1]=>{{1,4},{2,6},{3,5,7}}=>[4,6,5,1,7,2,3]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0] [4,6,5,7,1,2,3]=>{{1,4,7},{2,6},{3,5}}=>[4,6,5,7,3,2,1]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0] [4,6,5,7,1,3,2]=>{{1,4,7},{2,6},{3,5}}=>[4,6,5,7,3,2,1]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0] [4,6,5,7,2,1,3]=>{{1,4,7},{2,6},{3,5}}=>[4,6,5,7,3,2,1]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0] [4,6,5,7,2,3,1]=>{{1,4,7},{2,6},{3,5}}=>[4,6,5,7,3,2,1]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0] [4,6,5,7,3,1,2]=>{{1,4,7},{2,6},{3,5}}=>[4,6,5,7,3,2,1]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0] [4,6,5,7,3,2,1]=>{{1,4,7},{2,6},{3,5}}=>[4,6,5,7,3,2,1]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0] [4,6,7,1,2,3,5]=>{{1,4},{2,6},{3,7},{5}}=>[4,6,7,1,5,2,3]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0] [4,6,7,1,2,5,3]=>{{1,4},{2,6},{3,7},{5}}=>[4,6,7,1,5,2,3]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0] [4,6,7,1,3,2,5]=>{{1,4},{2,6},{3,7},{5}}=>[4,6,7,1,5,2,3]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0] [4,6,7,1,3,5,2]=>{{1,4},{2,6},{3,7},{5}}=>[4,6,7,1,5,2,3]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0] [4,6,7,1,5,2,3]=>{{1,4},{2,6},{3,7},{5}}=>[4,6,7,1,5,2,3]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0] [4,6,7,1,5,3,2]=>{{1,4},{2,6},{3,7},{5}}=>[4,6,7,1,5,2,3]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0] [4,6,7,2,1,3,5]=>{{1,4},{2,6},{3,7},{5}}=>[4,6,7,1,5,2,3]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0] [4,6,7,2,1,5,3]=>{{1,4},{2,6},{3,7},{5}}=>[4,6,7,1,5,2,3]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0] [4,6,7,2,3,1,5]=>{{1,4},{2,6},{3,7},{5}}=>[4,6,7,1,5,2,3]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0] [4,6,7,2,3,5,1]=>{{1,4},{2,6},{3,7},{5}}=>[4,6,7,1,5,2,3]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0] [4,6,7,2,5,1,3]=>{{1,4},{2,6},{3,7},{5}}=>[4,6,7,1,5,2,3]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0] [4,6,7,2,5,3,1]=>{{1,4},{2,6},{3,7},{5}}=>[4,6,7,1,5,2,3]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0] [4,6,7,3,1,2,5]=>{{1,4},{2,6},{3,7},{5}}=>[4,6,7,1,5,2,3]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0] [4,6,7,3,1,5,2]=>{{1,4},{2,6},{3,7},{5}}=>[4,6,7,1,5,2,3]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0] [4,6,7,3,2,1,5]=>{{1,4},{2,6},{3,7},{5}}=>[4,6,7,1,5,2,3]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0] [4,6,7,3,2,5,1]=>{{1,4},{2,6},{3,7},{5}}=>[4,6,7,1,5,2,3]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0] [4,6,7,3,5,1,2]=>{{1,4},{2,6},{3,7},{5}}=>[4,6,7,1,5,2,3]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0] [4,6,7,3,5,2,1]=>{{1,4},{2,6},{3,7},{5}}=>[4,6,7,1,5,2,3]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0] [4,6,7,5,1,2,3]=>{{1,4,5},{2,6},{3,7}}=>[4,6,7,5,1,2,3]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0] [4,6,7,5,1,3,2]=>{{1,4,5},{2,6},{3,7}}=>[4,6,7,5,1,2,3]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0] [4,6,7,5,2,1,3]=>{{1,4,5},{2,6},{3,7}}=>[4,6,7,5,1,2,3]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0] [4,6,7,5,2,3,1]=>{{1,4,5},{2,6},{3,7}}=>[4,6,7,5,1,2,3]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0] [4,6,7,5,3,1,2]=>{{1,4,5},{2,6},{3,7}}=>[4,6,7,5,1,2,3]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0] [4,6,7,5,3,2,1]=>{{1,4,5},{2,6},{3,7}}=>[4,6,7,5,1,2,3]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0] [4,7,1,2,3,5,6]=>{{1,4},{2,7},{3},{5},{6}}=>[4,7,3,1,5,6,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [4,7,1,2,3,6,5]=>{{1,4},{2,7},{3},{5},{6}}=>[4,7,3,1,5,6,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [4,7,1,2,5,3,6]=>{{1,4},{2,7},{3},{5},{6}}=>[4,7,3,1,5,6,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [4,7,1,2,5,6,3]=>{{1,4},{2,7},{3},{5},{6}}=>[4,7,3,1,5,6,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [4,7,1,2,6,3,5]=>{{1,4},{2,7},{3},{5,6}}=>[4,7,3,1,6,5,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [4,7,1,2,6,5,3]=>{{1,4},{2,7},{3},{5,6}}=>[4,7,3,1,6,5,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [4,7,1,3,2,5,6]=>{{1,4},{2,7},{3},{5},{6}}=>[4,7,3,1,5,6,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [4,7,1,3,2,6,5]=>{{1,4},{2,7},{3},{5},{6}}=>[4,7,3,1,5,6,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [4,7,1,3,5,2,6]=>{{1,4},{2,7},{3},{5},{6}}=>[4,7,3,1,5,6,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [4,7,1,3,5,6,2]=>{{1,4},{2,7},{3},{5},{6}}=>[4,7,3,1,5,6,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [4,7,1,3,6,2,5]=>{{1,4},{2,7},{3},{5,6}}=>[4,7,3,1,6,5,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [4,7,1,3,6,5,2]=>{{1,4},{2,7},{3},{5,6}}=>[4,7,3,1,6,5,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [4,7,1,5,2,3,6]=>{{1,4,5},{2,7},{3},{6}}=>[4,7,3,5,1,6,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [4,7,1,5,2,6,3]=>{{1,4,5},{2,7},{3},{6}}=>[4,7,3,5,1,6,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [4,7,1,5,3,2,6]=>{{1,4,5},{2,7},{3},{6}}=>[4,7,3,5,1,6,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [4,7,1,5,3,6,2]=>{{1,4,5},{2,7},{3},{6}}=>[4,7,3,5,1,6,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [4,7,1,5,6,2,3]=>{{1,4,5,6},{2,7},{3}}=>[4,7,3,5,6,1,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [4,7,1,5,6,3,2]=>{{1,4,5,6},{2,7},{3}}=>[4,7,3,5,6,1,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [4,7,1,6,2,3,5]=>{{1,4,6},{2,7},{3},{5}}=>[4,7,3,6,5,1,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [4,7,1,6,2,5,3]=>{{1,4,6},{2,7},{3},{5}}=>[4,7,3,6,5,1,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [4,7,1,6,3,2,5]=>{{1,4,6},{2,7},{3},{5}}=>[4,7,3,6,5,1,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [4,7,1,6,3,5,2]=>{{1,4,6},{2,7},{3},{5}}=>[4,7,3,6,5,1,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [4,7,1,6,5,2,3]=>{{1,4,6},{2,7},{3},{5}}=>[4,7,3,6,5,1,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [4,7,1,6,5,3,2]=>{{1,4,6},{2,7},{3},{5}}=>[4,7,3,6,5,1,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [4,7,2,1,3,5,6]=>{{1,4},{2,7},{3},{5},{6}}=>[4,7,3,1,5,6,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [4,7,2,1,3,6,5]=>{{1,4},{2,7},{3},{5},{6}}=>[4,7,3,1,5,6,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [4,7,2,1,5,3,6]=>{{1,4},{2,7},{3},{5},{6}}=>[4,7,3,1,5,6,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [4,7,2,1,5,6,3]=>{{1,4},{2,7},{3},{5},{6}}=>[4,7,3,1,5,6,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [4,7,2,1,6,3,5]=>{{1,4},{2,7},{3},{5,6}}=>[4,7,3,1,6,5,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [4,7,2,1,6,5,3]=>{{1,4},{2,7},{3},{5,6}}=>[4,7,3,1,6,5,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [4,7,2,3,1,5,6]=>{{1,4},{2,7},{3},{5},{6}}=>[4,7,3,1,5,6,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [4,7,2,3,1,6,5]=>{{1,4},{2,7},{3},{5},{6}}=>[4,7,3,1,5,6,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [4,7,2,3,5,1,6]=>{{1,4},{2,7},{3},{5},{6}}=>[4,7,3,1,5,6,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [4,7,2,3,5,6,1]=>{{1,4},{2,7},{3},{5},{6}}=>[4,7,3,1,5,6,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [4,7,2,3,6,1,5]=>{{1,4},{2,7},{3},{5,6}}=>[4,7,3,1,6,5,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [4,7,2,3,6,5,1]=>{{1,4},{2,7},{3},{5,6}}=>[4,7,3,1,6,5,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [4,7,2,5,1,3,6]=>{{1,4,5},{2,7},{3},{6}}=>[4,7,3,5,1,6,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [4,7,2,5,1,6,3]=>{{1,4,5},{2,7},{3},{6}}=>[4,7,3,5,1,6,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [4,7,2,5,3,1,6]=>{{1,4,5},{2,7},{3},{6}}=>[4,7,3,5,1,6,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [4,7,2,5,3,6,1]=>{{1,4,5},{2,7},{3},{6}}=>[4,7,3,5,1,6,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [4,7,2,5,6,1,3]=>{{1,4,5,6},{2,7},{3}}=>[4,7,3,5,6,1,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [4,7,2,5,6,3,1]=>{{1,4,5,6},{2,7},{3}}=>[4,7,3,5,6,1,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [4,7,2,6,1,3,5]=>{{1,4,6},{2,7},{3},{5}}=>[4,7,3,6,5,1,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [4,7,2,6,1,5,3]=>{{1,4,6},{2,7},{3},{5}}=>[4,7,3,6,5,1,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [4,7,2,6,3,1,5]=>{{1,4,6},{2,7},{3},{5}}=>[4,7,3,6,5,1,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [4,7,2,6,3,5,1]=>{{1,4,6},{2,7},{3},{5}}=>[4,7,3,6,5,1,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [4,7,2,6,5,1,3]=>{{1,4,6},{2,7},{3},{5}}=>[4,7,3,6,5,1,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [4,7,2,6,5,3,1]=>{{1,4,6},{2,7},{3},{5}}=>[4,7,3,6,5,1,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [4,7,3,1,2,5,6]=>{{1,4},{2,7},{3},{5},{6}}=>[4,7,3,1,5,6,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [4,7,3,1,2,6,5]=>{{1,4},{2,7},{3},{5},{6}}=>[4,7,3,1,5,6,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [4,7,3,1,5,2,6]=>{{1,4},{2,7},{3},{5},{6}}=>[4,7,3,1,5,6,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [4,7,3,1,5,6,2]=>{{1,4},{2,7},{3},{5},{6}}=>[4,7,3,1,5,6,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [4,7,3,1,6,2,5]=>{{1,4},{2,7},{3},{5,6}}=>[4,7,3,1,6,5,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [4,7,3,1,6,5,2]=>{{1,4},{2,7},{3},{5,6}}=>[4,7,3,1,6,5,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [4,7,3,2,1,5,6]=>{{1,4},{2,7},{3},{5},{6}}=>[4,7,3,1,5,6,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [4,7,3,2,1,6,5]=>{{1,4},{2,7},{3},{5},{6}}=>[4,7,3,1,5,6,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [4,7,3,2,5,1,6]=>{{1,4},{2,7},{3},{5},{6}}=>[4,7,3,1,5,6,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [4,7,3,2,5,6,1]=>{{1,4},{2,7},{3},{5},{6}}=>[4,7,3,1,5,6,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [4,7,3,2,6,1,5]=>{{1,4},{2,7},{3},{5,6}}=>[4,7,3,1,6,5,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [4,7,3,2,6,5,1]=>{{1,4},{2,7},{3},{5,6}}=>[4,7,3,1,6,5,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [4,7,3,5,1,2,6]=>{{1,4,5},{2,7},{3},{6}}=>[4,7,3,5,1,6,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [4,7,3,5,1,6,2]=>{{1,4,5},{2,7},{3},{6}}=>[4,7,3,5,1,6,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [4,7,3,5,2,1,6]=>{{1,4,5},{2,7},{3},{6}}=>[4,7,3,5,1,6,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [4,7,3,5,2,6,1]=>{{1,4,5},{2,7},{3},{6}}=>[4,7,3,5,1,6,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [4,7,3,5,6,1,2]=>{{1,4,5,6},{2,7},{3}}=>[4,7,3,5,6,1,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [4,7,3,5,6,2,1]=>{{1,4,5,6},{2,7},{3}}=>[4,7,3,5,6,1,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [4,7,3,6,1,2,5]=>{{1,4,6},{2,7},{3},{5}}=>[4,7,3,6,5,1,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [4,7,3,6,1,5,2]=>{{1,4,6},{2,7},{3},{5}}=>[4,7,3,6,5,1,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [4,7,3,6,2,1,5]=>{{1,4,6},{2,7},{3},{5}}=>[4,7,3,6,5,1,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [4,7,3,6,2,5,1]=>{{1,4,6},{2,7},{3},{5}}=>[4,7,3,6,5,1,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [4,7,3,6,5,1,2]=>{{1,4,6},{2,7},{3},{5}}=>[4,7,3,6,5,1,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [4,7,3,6,5,2,1]=>{{1,4,6},{2,7},{3},{5}}=>[4,7,3,6,5,1,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [4,7,5,1,2,3,6]=>{{1,4},{2,7},{3,5},{6}}=>[4,7,5,1,3,6,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [4,7,5,1,2,6,3]=>{{1,4},{2,7},{3,5},{6}}=>[4,7,5,1,3,6,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [4,7,5,1,3,2,6]=>{{1,4},{2,7},{3,5},{6}}=>[4,7,5,1,3,6,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [4,7,5,1,3,6,2]=>{{1,4},{2,7},{3,5},{6}}=>[4,7,5,1,3,6,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [4,7,5,1,6,2,3]=>{{1,4},{2,7},{3,5,6}}=>[4,7,5,1,6,3,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [4,7,5,1,6,3,2]=>{{1,4},{2,7},{3,5,6}}=>[4,7,5,1,6,3,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [4,7,5,2,1,3,6]=>{{1,4},{2,7},{3,5},{6}}=>[4,7,5,1,3,6,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [4,7,5,2,1,6,3]=>{{1,4},{2,7},{3,5},{6}}=>[4,7,5,1,3,6,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [4,7,5,2,3,1,6]=>{{1,4},{2,7},{3,5},{6}}=>[4,7,5,1,3,6,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [4,7,5,2,3,6,1]=>{{1,4},{2,7},{3,5},{6}}=>[4,7,5,1,3,6,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [4,7,5,2,6,1,3]=>{{1,4},{2,7},{3,5,6}}=>[4,7,5,1,6,3,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [4,7,5,2,6,3,1]=>{{1,4},{2,7},{3,5,6}}=>[4,7,5,1,6,3,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [4,7,5,3,1,2,6]=>{{1,4},{2,7},{3,5},{6}}=>[4,7,5,1,3,6,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [4,7,5,3,1,6,2]=>{{1,4},{2,7},{3,5},{6}}=>[4,7,5,1,3,6,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [4,7,5,3,2,1,6]=>{{1,4},{2,7},{3,5},{6}}=>[4,7,5,1,3,6,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [4,7,5,3,2,6,1]=>{{1,4},{2,7},{3,5},{6}}=>[4,7,5,1,3,6,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [4,7,5,3,6,1,2]=>{{1,4},{2,7},{3,5,6}}=>[4,7,5,1,6,3,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [4,7,5,3,6,2,1]=>{{1,4},{2,7},{3,5,6}}=>[4,7,5,1,6,3,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [4,7,5,6,1,2,3]=>{{1,4,6},{2,7},{3,5}}=>[4,7,5,6,3,1,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [4,7,5,6,1,3,2]=>{{1,4,6},{2,7},{3,5}}=>[4,7,5,6,3,1,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [4,7,5,6,2,1,3]=>{{1,4,6},{2,7},{3,5}}=>[4,7,5,6,3,1,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [4,7,5,6,2,3,1]=>{{1,4,6},{2,7},{3,5}}=>[4,7,5,6,3,1,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [4,7,5,6,3,1,2]=>{{1,4,6},{2,7},{3,5}}=>[4,7,5,6,3,1,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [4,7,5,6,3,2,1]=>{{1,4,6},{2,7},{3,5}}=>[4,7,5,6,3,1,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [4,7,6,1,2,3,5]=>{{1,4},{2,7},{3,6},{5}}=>[4,7,6,1,5,3,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [4,7,6,1,2,5,3]=>{{1,4},{2,7},{3,6},{5}}=>[4,7,6,1,5,3,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [4,7,6,1,3,2,5]=>{{1,4},{2,7},{3,6},{5}}=>[4,7,6,1,5,3,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [4,7,6,1,3,5,2]=>{{1,4},{2,7},{3,6},{5}}=>[4,7,6,1,5,3,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [4,7,6,1,5,2,3]=>{{1,4},{2,7},{3,6},{5}}=>[4,7,6,1,5,3,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [4,7,6,1,5,3,2]=>{{1,4},{2,7},{3,6},{5}}=>[4,7,6,1,5,3,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [4,7,6,2,1,3,5]=>{{1,4},{2,7},{3,6},{5}}=>[4,7,6,1,5,3,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [4,7,6,2,1,5,3]=>{{1,4},{2,7},{3,6},{5}}=>[4,7,6,1,5,3,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [4,7,6,2,3,1,5]=>{{1,4},{2,7},{3,6},{5}}=>[4,7,6,1,5,3,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [4,7,6,2,3,5,1]=>{{1,4},{2,7},{3,6},{5}}=>[4,7,6,1,5,3,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [4,7,6,2,5,1,3]=>{{1,4},{2,7},{3,6},{5}}=>[4,7,6,1,5,3,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [4,7,6,2,5,3,1]=>{{1,4},{2,7},{3,6},{5}}=>[4,7,6,1,5,3,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [4,7,6,3,1,2,5]=>{{1,4},{2,7},{3,6},{5}}=>[4,7,6,1,5,3,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [4,7,6,3,1,5,2]=>{{1,4},{2,7},{3,6},{5}}=>[4,7,6,1,5,3,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [4,7,6,3,2,1,5]=>{{1,4},{2,7},{3,6},{5}}=>[4,7,6,1,5,3,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [4,7,6,3,2,5,1]=>{{1,4},{2,7},{3,6},{5}}=>[4,7,6,1,5,3,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [4,7,6,3,5,1,2]=>{{1,4},{2,7},{3,6},{5}}=>[4,7,6,1,5,3,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [4,7,6,3,5,2,1]=>{{1,4},{2,7},{3,6},{5}}=>[4,7,6,1,5,3,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [4,7,6,5,1,2,3]=>{{1,4,5},{2,7},{3,6}}=>[4,7,6,5,1,3,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [4,7,6,5,1,3,2]=>{{1,4,5},{2,7},{3,6}}=>[4,7,6,5,1,3,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [4,7,6,5,2,1,3]=>{{1,4,5},{2,7},{3,6}}=>[4,7,6,5,1,3,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [4,7,6,5,2,3,1]=>{{1,4,5},{2,7},{3,6}}=>[4,7,6,5,1,3,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [4,7,6,5,3,1,2]=>{{1,4,5},{2,7},{3,6}}=>[4,7,6,5,1,3,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [4,7,6,5,3,2,1]=>{{1,4,5},{2,7},{3,6}}=>[4,7,6,5,1,3,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [5,1,2,3,4,6,7]=>{{1,5},{2},{3},{4},{6},{7}}=>[5,2,3,4,1,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0] [5,1,2,3,4,7,6]=>{{1,5},{2},{3},{4},{6,7}}=>[5,2,3,4,1,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0] [5,1,2,3,6,4,7]=>{{1,5,6},{2},{3},{4},{7}}=>[5,2,3,4,6,1,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0] [5,1,2,3,6,7,4]=>{{1,5,6,7},{2},{3},{4}}=>[5,2,3,4,6,7,1]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0] [5,1,2,3,7,4,6]=>{{1,5,7},{2},{3},{4},{6}}=>[5,2,3,4,7,6,1]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0] [5,1,2,3,7,6,4]=>{{1,5,7},{2},{3},{4},{6}}=>[5,2,3,4,7,6,1]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0] [5,1,2,4,3,6,7]=>{{1,5},{2},{3},{4},{6},{7}}=>[5,2,3,4,1,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0] [5,1,2,4,3,7,6]=>{{1,5},{2},{3},{4},{6,7}}=>[5,2,3,4,1,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0] [5,1,2,4,6,3,7]=>{{1,5,6},{2},{3},{4},{7}}=>[5,2,3,4,6,1,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0] [5,1,2,4,6,7,3]=>{{1,5,6,7},{2},{3},{4}}=>[5,2,3,4,6,7,1]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0] [5,1,2,4,7,3,6]=>{{1,5,7},{2},{3},{4},{6}}=>[5,2,3,4,7,6,1]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0] [5,1,2,4,7,6,3]=>{{1,5,7},{2},{3},{4},{6}}=>[5,2,3,4,7,6,1]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0] [5,1,2,6,3,4,7]=>{{1,5},{2},{3},{4,6},{7}}=>[5,2,3,6,1,4,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0] [5,1,2,6,3,7,4]=>{{1,5},{2},{3},{4,6,7}}=>[5,2,3,6,1,7,4]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0] [5,1,2,6,4,3,7]=>{{1,5},{2},{3},{4,6},{7}}=>[5,2,3,6,1,4,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0] [5,1,2,6,4,7,3]=>{{1,5},{2},{3},{4,6,7}}=>[5,2,3,6,1,7,4]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0] [5,1,2,6,7,3,4]=>{{1,5,7},{2},{3},{4,6}}=>[5,2,3,6,7,4,1]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0] [5,1,2,6,7,4,3]=>{{1,5,7},{2},{3},{4,6}}=>[5,2,3,6,7,4,1]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0] [5,1,2,7,3,4,6]=>{{1,5},{2},{3},{4,7},{6}}=>[5,2,3,7,1,6,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0] [5,1,2,7,3,6,4]=>{{1,5},{2},{3},{4,7},{6}}=>[5,2,3,7,1,6,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0] [5,1,2,7,4,3,6]=>{{1,5},{2},{3},{4,7},{6}}=>[5,2,3,7,1,6,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0] [5,1,2,7,4,6,3]=>{{1,5},{2},{3},{4,7},{6}}=>[5,2,3,7,1,6,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0] [5,1,2,7,6,3,4]=>{{1,5,6},{2},{3},{4,7}}=>[5,2,3,7,6,1,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0] [5,1,2,7,6,4,3]=>{{1,5,6},{2},{3},{4,7}}=>[5,2,3,7,6,1,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0] [5,1,3,2,4,6,7]=>{{1,5},{2},{3},{4},{6},{7}}=>[5,2,3,4,1,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0] [5,1,3,2,4,7,6]=>{{1,5},{2},{3},{4},{6,7}}=>[5,2,3,4,1,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0] [5,1,3,2,6,4,7]=>{{1,5,6},{2},{3},{4},{7}}=>[5,2,3,4,6,1,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0] [5,1,3,2,6,7,4]=>{{1,5,6,7},{2},{3},{4}}=>[5,2,3,4,6,7,1]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0] [5,1,3,2,7,4,6]=>{{1,5,7},{2},{3},{4},{6}}=>[5,2,3,4,7,6,1]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0] [5,1,3,2,7,6,4]=>{{1,5,7},{2},{3},{4},{6}}=>[5,2,3,4,7,6,1]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0] [5,1,3,4,2,6,7]=>{{1,5},{2},{3},{4},{6},{7}}=>[5,2,3,4,1,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0] [5,1,3,4,2,7,6]=>{{1,5},{2},{3},{4},{6,7}}=>[5,2,3,4,1,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0] [5,1,3,4,6,2,7]=>{{1,5,6},{2},{3},{4},{7}}=>[5,2,3,4,6,1,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0] [5,1,3,4,6,7,2]=>{{1,5,6,7},{2},{3},{4}}=>[5,2,3,4,6,7,1]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0] [5,1,3,4,7,2,6]=>{{1,5,7},{2},{3},{4},{6}}=>[5,2,3,4,7,6,1]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0] [5,1,3,4,7,6,2]=>{{1,5,7},{2},{3},{4},{6}}=>[5,2,3,4,7,6,1]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0] [5,1,3,6,2,4,7]=>{{1,5},{2},{3},{4,6},{7}}=>[5,2,3,6,1,4,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0] [5,1,3,6,2,7,4]=>{{1,5},{2},{3},{4,6,7}}=>[5,2,3,6,1,7,4]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0] [5,1,3,6,4,2,7]=>{{1,5},{2},{3},{4,6},{7}}=>[5,2,3,6,1,4,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0] [5,1,3,6,4,7,2]=>{{1,5},{2},{3},{4,6,7}}=>[5,2,3,6,1,7,4]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0] [5,1,3,6,7,2,4]=>{{1,5,7},{2},{3},{4,6}}=>[5,2,3,6,7,4,1]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0] [5,1,3,6,7,4,2]=>{{1,5,7},{2},{3},{4,6}}=>[5,2,3,6,7,4,1]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0] [5,1,3,7,2,4,6]=>{{1,5},{2},{3},{4,7},{6}}=>[5,2,3,7,1,6,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0] [5,1,3,7,2,6,4]=>{{1,5},{2},{3},{4,7},{6}}=>[5,2,3,7,1,6,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0] [5,1,3,7,4,2,6]=>{{1,5},{2},{3},{4,7},{6}}=>[5,2,3,7,1,6,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0] [5,1,3,7,4,6,2]=>{{1,5},{2},{3},{4,7},{6}}=>[5,2,3,7,1,6,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0] [5,1,3,7,6,2,4]=>{{1,5,6},{2},{3},{4,7}}=>[5,2,3,7,6,1,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0] [5,1,3,7,6,4,2]=>{{1,5,6},{2},{3},{4,7}}=>[5,2,3,7,6,1,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0] [5,1,4,2,3,6,7]=>{{1,5},{2},{3,4},{6},{7}}=>[5,2,4,3,1,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0] [5,1,4,2,3,7,6]=>{{1,5},{2},{3,4},{6,7}}=>[5,2,4,3,1,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0] [5,1,4,2,6,3,7]=>{{1,5,6},{2},{3,4},{7}}=>[5,2,4,3,6,1,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0] [5,1,4,2,6,7,3]=>{{1,5,6,7},{2},{3,4}}=>[5,2,4,3,6,7,1]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0] [5,1,4,2,7,3,6]=>{{1,5,7},{2},{3,4},{6}}=>[5,2,4,3,7,6,1]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0] [5,1,4,2,7,6,3]=>{{1,5,7},{2},{3,4},{6}}=>[5,2,4,3,7,6,1]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0] [5,1,4,3,2,6,7]=>{{1,5},{2},{3,4},{6},{7}}=>[5,2,4,3,1,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0] [5,1,4,3,2,7,6]=>{{1,5},{2},{3,4},{6,7}}=>[5,2,4,3,1,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0] [5,1,4,3,6,2,7]=>{{1,5,6},{2},{3,4},{7}}=>[5,2,4,3,6,1,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0] [5,1,4,3,6,7,2]=>{{1,5,6,7},{2},{3,4}}=>[5,2,4,3,6,7,1]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0] [5,1,4,3,7,2,6]=>{{1,5,7},{2},{3,4},{6}}=>[5,2,4,3,7,6,1]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0] [5,1,4,3,7,6,2]=>{{1,5,7},{2},{3,4},{6}}=>[5,2,4,3,7,6,1]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0] [5,1,4,6,2,3,7]=>{{1,5},{2},{3,4,6},{7}}=>[5,2,4,6,1,3,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0] [5,1,4,6,2,7,3]=>{{1,5},{2},{3,4,6,7}}=>[5,2,4,6,1,7,3]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0] [5,1,4,6,3,2,7]=>{{1,5},{2},{3,4,6},{7}}=>[5,2,4,6,1,3,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0] [5,1,4,6,3,7,2]=>{{1,5},{2},{3,4,6,7}}=>[5,2,4,6,1,7,3]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0] [5,1,4,6,7,2,3]=>{{1,5,7},{2},{3,4,6}}=>[5,2,4,6,7,3,1]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0] [5,1,4,6,7,3,2]=>{{1,5,7},{2},{3,4,6}}=>[5,2,4,6,7,3,1]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0] [5,1,4,7,2,3,6]=>{{1,5},{2},{3,4,7},{6}}=>[5,2,4,7,1,6,3]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0] [5,1,4,7,2,6,3]=>{{1,5},{2},{3,4,7},{6}}=>[5,2,4,7,1,6,3]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0] [5,1,4,7,3,2,6]=>{{1,5},{2},{3,4,7},{6}}=>[5,2,4,7,1,6,3]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0] [5,1,4,7,3,6,2]=>{{1,5},{2},{3,4,7},{6}}=>[5,2,4,7,1,6,3]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0] [5,1,4,7,6,2,3]=>{{1,5,6},{2},{3,4,7}}=>[5,2,4,7,6,1,3]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0] [5,1,4,7,6,3,2]=>{{1,5,6},{2},{3,4,7}}=>[5,2,4,7,6,1,3]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0] [5,1,6,2,3,4,7]=>{{1,5},{2},{3,6},{4},{7}}=>[5,2,6,4,1,3,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0] [5,1,6,2,3,7,4]=>{{1,5},{2},{3,6,7},{4}}=>[5,2,6,4,1,7,3]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0] [5,1,6,2,4,3,7]=>{{1,5},{2},{3,6},{4},{7}}=>[5,2,6,4,1,3,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0] [5,1,6,2,4,7,3]=>{{1,5},{2},{3,6,7},{4}}=>[5,2,6,4,1,7,3]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0] [5,1,6,2,7,3,4]=>{{1,5,7},{2},{3,6},{4}}=>[5,2,6,4,7,3,1]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0] [5,1,6,2,7,4,3]=>{{1,5,7},{2},{3,6},{4}}=>[5,2,6,4,7,3,1]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0] [5,1,6,3,2,4,7]=>{{1,5},{2},{3,6},{4},{7}}=>[5,2,6,4,1,3,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0] [5,1,6,3,2,7,4]=>{{1,5},{2},{3,6,7},{4}}=>[5,2,6,4,1,7,3]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0] [5,1,6,3,4,2,7]=>{{1,5},{2},{3,6},{4},{7}}=>[5,2,6,4,1,3,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0] [5,1,6,3,4,7,2]=>{{1,5},{2},{3,6,7},{4}}=>[5,2,6,4,1,7,3]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0] [5,1,6,3,7,2,4]=>{{1,5,7},{2},{3,6},{4}}=>[5,2,6,4,7,3,1]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0] [5,1,6,3,7,4,2]=>{{1,5,7},{2},{3,6},{4}}=>[5,2,6,4,7,3,1]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0] [5,1,6,4,2,3,7]=>{{1,5},{2},{3,6},{4},{7}}=>[5,2,6,4,1,3,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0] [5,1,6,4,2,7,3]=>{{1,5},{2},{3,6,7},{4}}=>[5,2,6,4,1,7,3]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0] [5,1,6,4,3,2,7]=>{{1,5},{2},{3,6},{4},{7}}=>[5,2,6,4,1,3,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0] [5,1,6,4,3,7,2]=>{{1,5},{2},{3,6,7},{4}}=>[5,2,6,4,1,7,3]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0] [5,1,6,4,7,2,3]=>{{1,5,7},{2},{3,6},{4}}=>[5,2,6,4,7,3,1]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0] [5,1,6,4,7,3,2]=>{{1,5,7},{2},{3,6},{4}}=>[5,2,6,4,7,3,1]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0] [5,1,6,7,2,3,4]=>{{1,5},{2},{3,6},{4,7}}=>[5,2,6,7,1,3,4]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0] [5,1,6,7,2,4,3]=>{{1,5},{2},{3,6},{4,7}}=>[5,2,6,7,1,3,4]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0] [5,1,6,7,3,2,4]=>{{1,5},{2},{3,6},{4,7}}=>[5,2,6,7,1,3,4]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0] [5,1,6,7,3,4,2]=>{{1,5},{2},{3,6},{4,7}}=>[5,2,6,7,1,3,4]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0] [5,1,6,7,4,2,3]=>{{1,5},{2},{3,6},{4,7}}=>[5,2,6,7,1,3,4]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0] [5,1,6,7,4,3,2]=>{{1,5},{2},{3,6},{4,7}}=>[5,2,6,7,1,3,4]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0] [5,1,7,2,3,4,6]=>{{1,5},{2},{3,7},{4},{6}}=>[5,2,7,4,1,6,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0] [5,1,7,2,3,6,4]=>{{1,5},{2},{3,7},{4},{6}}=>[5,2,7,4,1,6,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0] [5,1,7,2,4,3,6]=>{{1,5},{2},{3,7},{4},{6}}=>[5,2,7,4,1,6,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0] [5,1,7,2,4,6,3]=>{{1,5},{2},{3,7},{4},{6}}=>[5,2,7,4,1,6,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0] [5,1,7,2,6,3,4]=>{{1,5,6},{2},{3,7},{4}}=>[5,2,7,4,6,1,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0] [5,1,7,2,6,4,3]=>{{1,5,6},{2},{3,7},{4}}=>[5,2,7,4,6,1,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0] [5,1,7,3,2,4,6]=>{{1,5},{2},{3,7},{4},{6}}=>[5,2,7,4,1,6,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0] [5,1,7,3,2,6,4]=>{{1,5},{2},{3,7},{4},{6}}=>[5,2,7,4,1,6,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0] [5,1,7,3,4,2,6]=>{{1,5},{2},{3,7},{4},{6}}=>[5,2,7,4,1,6,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0] [5,1,7,3,4,6,2]=>{{1,5},{2},{3,7},{4},{6}}=>[5,2,7,4,1,6,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0] [5,1,7,3,6,2,4]=>{{1,5,6},{2},{3,7},{4}}=>[5,2,7,4,6,1,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0] [5,1,7,3,6,4,2]=>{{1,5,6},{2},{3,7},{4}}=>[5,2,7,4,6,1,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0] [5,1,7,4,2,3,6]=>{{1,5},{2},{3,7},{4},{6}}=>[5,2,7,4,1,6,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0] [5,1,7,4,2,6,3]=>{{1,5},{2},{3,7},{4},{6}}=>[5,2,7,4,1,6,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0] [5,1,7,4,3,2,6]=>{{1,5},{2},{3,7},{4},{6}}=>[5,2,7,4,1,6,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0] [5,1,7,4,3,6,2]=>{{1,5},{2},{3,7},{4},{6}}=>[5,2,7,4,1,6,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0] [5,1,7,4,6,2,3]=>{{1,5,6},{2},{3,7},{4}}=>[5,2,7,4,6,1,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0] [5,1,7,4,6,3,2]=>{{1,5,6},{2},{3,7},{4}}=>[5,2,7,4,6,1,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0] [5,1,7,6,2,3,4]=>{{1,5},{2},{3,7},{4,6}}=>[5,2,7,6,1,4,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0] [5,1,7,6,2,4,3]=>{{1,5},{2},{3,7},{4,6}}=>[5,2,7,6,1,4,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0] [5,1,7,6,3,2,4]=>{{1,5},{2},{3,7},{4,6}}=>[5,2,7,6,1,4,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0] [5,1,7,6,3,4,2]=>{{1,5},{2},{3,7},{4,6}}=>[5,2,7,6,1,4,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0] [5,1,7,6,4,2,3]=>{{1,5},{2},{3,7},{4,6}}=>[5,2,7,6,1,4,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0] [5,1,7,6,4,3,2]=>{{1,5},{2},{3,7},{4,6}}=>[5,2,7,6,1,4,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0] [5,2,1,3,4,6,7]=>{{1,5},{2},{3},{4},{6},{7}}=>[5,2,3,4,1,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0] [5,2,1,3,4,7,6]=>{{1,5},{2},{3},{4},{6,7}}=>[5,2,3,4,1,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0] [5,2,1,3,6,4,7]=>{{1,5,6},{2},{3},{4},{7}}=>[5,2,3,4,6,1,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0] [5,2,1,3,6,7,4]=>{{1,5,6,7},{2},{3},{4}}=>[5,2,3,4,6,7,1]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0] [5,2,1,3,7,4,6]=>{{1,5,7},{2},{3},{4},{6}}=>[5,2,3,4,7,6,1]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0] [5,2,1,3,7,6,4]=>{{1,5,7},{2},{3},{4},{6}}=>[5,2,3,4,7,6,1]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0] [5,2,1,4,3,6,7]=>{{1,5},{2},{3},{4},{6},{7}}=>[5,2,3,4,1,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0] [5,2,1,4,3,7,6]=>{{1,5},{2},{3},{4},{6,7}}=>[5,2,3,4,1,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0] [5,2,1,4,6,3,7]=>{{1,5,6},{2},{3},{4},{7}}=>[5,2,3,4,6,1,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0] [5,2,1,4,6,7,3]=>{{1,5,6,7},{2},{3},{4}}=>[5,2,3,4,6,7,1]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0] [5,2,1,4,7,3,6]=>{{1,5,7},{2},{3},{4},{6}}=>[5,2,3,4,7,6,1]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0] [5,2,1,4,7,6,3]=>{{1,5,7},{2},{3},{4},{6}}=>[5,2,3,4,7,6,1]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0] [5,2,1,6,3,4,7]=>{{1,5},{2},{3},{4,6},{7}}=>[5,2,3,6,1,4,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0] [5,2,1,6,3,7,4]=>{{1,5},{2},{3},{4,6,7}}=>[5,2,3,6,1,7,4]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0] [5,2,1,6,4,3,7]=>{{1,5},{2},{3},{4,6},{7}}=>[5,2,3,6,1,4,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0] [5,2,1,6,4,7,3]=>{{1,5},{2},{3},{4,6,7}}=>[5,2,3,6,1,7,4]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0] [5,2,1,6,7,3,4]=>{{1,5,7},{2},{3},{4,6}}=>[5,2,3,6,7,4,1]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0] [5,2,1,6,7,4,3]=>{{1,5,7},{2},{3},{4,6}}=>[5,2,3,6,7,4,1]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0] [5,2,1,7,3,4,6]=>{{1,5},{2},{3},{4,7},{6}}=>[5,2,3,7,1,6,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0] [5,2,1,7,3,6,4]=>{{1,5},{2},{3},{4,7},{6}}=>[5,2,3,7,1,6,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0] [5,2,1,7,4,3,6]=>{{1,5},{2},{3},{4,7},{6}}=>[5,2,3,7,1,6,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0] [5,2,1,7,4,6,3]=>{{1,5},{2},{3},{4,7},{6}}=>[5,2,3,7,1,6,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0] [5,2,1,7,6,3,4]=>{{1,5,6},{2},{3},{4,7}}=>[5,2,3,7,6,1,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0] [5,2,1,7,6,4,3]=>{{1,5,6},{2},{3},{4,7}}=>[5,2,3,7,6,1,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0] [5,2,3,1,4,6,7]=>{{1,5},{2},{3},{4},{6},{7}}=>[5,2,3,4,1,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0] [5,2,3,1,4,7,6]=>{{1,5},{2},{3},{4},{6,7}}=>[5,2,3,4,1,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0] [5,2,3,1,6,4,7]=>{{1,5,6},{2},{3},{4},{7}}=>[5,2,3,4,6,1,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0] [5,2,3,1,6,7,4]=>{{1,5,6,7},{2},{3},{4}}=>[5,2,3,4,6,7,1]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0] [5,2,3,1,7,4,6]=>{{1,5,7},{2},{3},{4},{6}}=>[5,2,3,4,7,6,1]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0] [5,2,3,1,7,6,4]=>{{1,5,7},{2},{3},{4},{6}}=>[5,2,3,4,7,6,1]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0] [5,2,3,4,1,6,7]=>{{1,5},{2},{3},{4},{6},{7}}=>[5,2,3,4,1,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0] [5,2,3,4,1,7,6]=>{{1,5},{2},{3},{4},{6,7}}=>[5,2,3,4,1,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0] [5,2,3,4,6,1,7]=>{{1,5,6},{2},{3},{4},{7}}=>[5,2,3,4,6,1,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0] [5,2,3,4,6,7,1]=>{{1,5,6,7},{2},{3},{4}}=>[5,2,3,4,6,7,1]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0] [5,2,3,4,7,1,6]=>{{1,5,7},{2},{3},{4},{6}}=>[5,2,3,4,7,6,1]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0] [5,2,3,4,7,6,1]=>{{1,5,7},{2},{3},{4},{6}}=>[5,2,3,4,7,6,1]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0] [5,2,3,6,1,4,7]=>{{1,5},{2},{3},{4,6},{7}}=>[5,2,3,6,1,4,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0] [5,2,3,6,1,7,4]=>{{1,5},{2},{3},{4,6,7}}=>[5,2,3,6,1,7,4]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0] [5,2,3,6,4,1,7]=>{{1,5},{2},{3},{4,6},{7}}=>[5,2,3,6,1,4,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0] [5,2,3,6,4,7,1]=>{{1,5},{2},{3},{4,6,7}}=>[5,2,3,6,1,7,4]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0] [5,2,3,6,7,1,4]=>{{1,5,7},{2},{3},{4,6}}=>[5,2,3,6,7,4,1]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0] [5,2,3,6,7,4,1]=>{{1,5,7},{2},{3},{4,6}}=>[5,2,3,6,7,4,1]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0] [5,2,3,7,1,4,6]=>{{1,5},{2},{3},{4,7},{6}}=>[5,2,3,7,1,6,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0] [5,2,3,7,1,6,4]=>{{1,5},{2},{3},{4,7},{6}}=>[5,2,3,7,1,6,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0] [5,2,3,7,4,1,6]=>{{1,5},{2},{3},{4,7},{6}}=>[5,2,3,7,1,6,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0] [5,2,3,7,4,6,1]=>{{1,5},{2},{3},{4,7},{6}}=>[5,2,3,7,1,6,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0] [5,2,3,7,6,1,4]=>{{1,5,6},{2},{3},{4,7}}=>[5,2,3,7,6,1,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0] [5,2,3,7,6,4,1]=>{{1,5,6},{2},{3},{4,7}}=>[5,2,3,7,6,1,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0] [5,2,4,1,3,6,7]=>{{1,5},{2},{3,4},{6},{7}}=>[5,2,4,3,1,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0] [5,2,4,1,3,7,6]=>{{1,5},{2},{3,4},{6,7}}=>[5,2,4,3,1,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0] [5,2,4,1,6,3,7]=>{{1,5,6},{2},{3,4},{7}}=>[5,2,4,3,6,1,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0] [5,2,4,1,6,7,3]=>{{1,5,6,7},{2},{3,4}}=>[5,2,4,3,6,7,1]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0] [5,2,4,1,7,3,6]=>{{1,5,7},{2},{3,4},{6}}=>[5,2,4,3,7,6,1]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0] [5,2,4,1,7,6,3]=>{{1,5,7},{2},{3,4},{6}}=>[5,2,4,3,7,6,1]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0] [5,2,4,3,1,6,7]=>{{1,5},{2},{3,4},{6},{7}}=>[5,2,4,3,1,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0] [5,2,4,3,1,7,6]=>{{1,5},{2},{3,4},{6,7}}=>[5,2,4,3,1,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0] [5,2,4,3,6,1,7]=>{{1,5,6},{2},{3,4},{7}}=>[5,2,4,3,6,1,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0] [5,2,4,3,6,7,1]=>{{1,5,6,7},{2},{3,4}}=>[5,2,4,3,6,7,1]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0] [5,2,4,3,7,1,6]=>{{1,5,7},{2},{3,4},{6}}=>[5,2,4,3,7,6,1]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0] [5,2,4,3,7,6,1]=>{{1,5,7},{2},{3,4},{6}}=>[5,2,4,3,7,6,1]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0] [5,2,4,6,1,3,7]=>{{1,5},{2},{3,4,6},{7}}=>[5,2,4,6,1,3,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0] [5,2,4,6,1,7,3]=>{{1,5},{2},{3,4,6,7}}=>[5,2,4,6,1,7,3]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0] [5,2,4,6,3,1,7]=>{{1,5},{2},{3,4,6},{7}}=>[5,2,4,6,1,3,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0] [5,2,4,6,3,7,1]=>{{1,5},{2},{3,4,6,7}}=>[5,2,4,6,1,7,3]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0] [5,2,4,6,7,1,3]=>{{1,5,7},{2},{3,4,6}}=>[5,2,4,6,7,3,1]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0] [5,2,4,6,7,3,1]=>{{1,5,7},{2},{3,4,6}}=>[5,2,4,6,7,3,1]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0] [5,2,4,7,1,3,6]=>{{1,5},{2},{3,4,7},{6}}=>[5,2,4,7,1,6,3]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0] [5,2,4,7,1,6,3]=>{{1,5},{2},{3,4,7},{6}}=>[5,2,4,7,1,6,3]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0] [5,2,4,7,3,1,6]=>{{1,5},{2},{3,4,7},{6}}=>[5,2,4,7,1,6,3]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0] [5,2,4,7,3,6,1]=>{{1,5},{2},{3,4,7},{6}}=>[5,2,4,7,1,6,3]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0] [5,2,4,7,6,1,3]=>{{1,5,6},{2},{3,4,7}}=>[5,2,4,7,6,1,3]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0] [5,2,4,7,6,3,1]=>{{1,5,6},{2},{3,4,7}}=>[5,2,4,7,6,1,3]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0] [5,2,6,1,3,4,7]=>{{1,5},{2},{3,6},{4},{7}}=>[5,2,6,4,1,3,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0] [5,2,6,1,3,7,4]=>{{1,5},{2},{3,6,7},{4}}=>[5,2,6,4,1,7,3]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0] [5,2,6,1,4,3,7]=>{{1,5},{2},{3,6},{4},{7}}=>[5,2,6,4,1,3,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0] [5,2,6,1,4,7,3]=>{{1,5},{2},{3,6,7},{4}}=>[5,2,6,4,1,7,3]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0] [5,2,6,1,7,3,4]=>{{1,5,7},{2},{3,6},{4}}=>[5,2,6,4,7,3,1]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0] [5,2,6,1,7,4,3]=>{{1,5,7},{2},{3,6},{4}}=>[5,2,6,4,7,3,1]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0] [5,2,6,3,1,4,7]=>{{1,5},{2},{3,6},{4},{7}}=>[5,2,6,4,1,3,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0] [5,2,6,3,1,7,4]=>{{1,5},{2},{3,6,7},{4}}=>[5,2,6,4,1,7,3]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0] [5,2,6,3,4,1,7]=>{{1,5},{2},{3,6},{4},{7}}=>[5,2,6,4,1,3,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0] [5,2,6,3,4,7,1]=>{{1,5},{2},{3,6,7},{4}}=>[5,2,6,4,1,7,3]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0] [5,2,6,3,7,1,4]=>{{1,5,7},{2},{3,6},{4}}=>[5,2,6,4,7,3,1]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0] [5,2,6,3,7,4,1]=>{{1,5,7},{2},{3,6},{4}}=>[5,2,6,4,7,3,1]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0] [5,2,6,4,1,3,7]=>{{1,5},{2},{3,6},{4},{7}}=>[5,2,6,4,1,3,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0] [5,2,6,4,1,7,3]=>{{1,5},{2},{3,6,7},{4}}=>[5,2,6,4,1,7,3]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0] [5,2,6,4,3,1,7]=>{{1,5},{2},{3,6},{4},{7}}=>[5,2,6,4,1,3,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0] [5,2,6,4,3,7,1]=>{{1,5},{2},{3,6,7},{4}}=>[5,2,6,4,1,7,3]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0] [5,2,6,4,7,1,3]=>{{1,5,7},{2},{3,6},{4}}=>[5,2,6,4,7,3,1]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0] [5,2,6,4,7,3,1]=>{{1,5,7},{2},{3,6},{4}}=>[5,2,6,4,7,3,1]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0] [5,2,6,7,1,3,4]=>{{1,5},{2},{3,6},{4,7}}=>[5,2,6,7,1,3,4]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0] [5,2,6,7,1,4,3]=>{{1,5},{2},{3,6},{4,7}}=>[5,2,6,7,1,3,4]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0] [5,2,6,7,3,1,4]=>{{1,5},{2},{3,6},{4,7}}=>[5,2,6,7,1,3,4]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0] [5,2,6,7,3,4,1]=>{{1,5},{2},{3,6},{4,7}}=>[5,2,6,7,1,3,4]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0] [5,2,6,7,4,1,3]=>{{1,5},{2},{3,6},{4,7}}=>[5,2,6,7,1,3,4]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0] [5,2,6,7,4,3,1]=>{{1,5},{2},{3,6},{4,7}}=>[5,2,6,7,1,3,4]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0] [5,2,7,1,3,4,6]=>{{1,5},{2},{3,7},{4},{6}}=>[5,2,7,4,1,6,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0] [5,2,7,1,3,6,4]=>{{1,5},{2},{3,7},{4},{6}}=>[5,2,7,4,1,6,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0] [5,2,7,1,4,3,6]=>{{1,5},{2},{3,7},{4},{6}}=>[5,2,7,4,1,6,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0] [5,2,7,1,4,6,3]=>{{1,5},{2},{3,7},{4},{6}}=>[5,2,7,4,1,6,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0] [5,2,7,1,6,3,4]=>{{1,5,6},{2},{3,7},{4}}=>[5,2,7,4,6,1,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0] [5,2,7,1,6,4,3]=>{{1,5,6},{2},{3,7},{4}}=>[5,2,7,4,6,1,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0] [5,2,7,3,1,4,6]=>{{1,5},{2},{3,7},{4},{6}}=>[5,2,7,4,1,6,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0] [5,2,7,3,1,6,4]=>{{1,5},{2},{3,7},{4},{6}}=>[5,2,7,4,1,6,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0] [5,2,7,3,4,1,6]=>{{1,5},{2},{3,7},{4},{6}}=>[5,2,7,4,1,6,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0] [5,2,7,3,4,6,1]=>{{1,5},{2},{3,7},{4},{6}}=>[5,2,7,4,1,6,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0] [5,2,7,3,6,1,4]=>{{1,5,6},{2},{3,7},{4}}=>[5,2,7,4,6,1,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0] [5,2,7,3,6,4,1]=>{{1,5,6},{2},{3,7},{4}}=>[5,2,7,4,6,1,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0] [5,2,7,4,1,3,6]=>{{1,5},{2},{3,7},{4},{6}}=>[5,2,7,4,1,6,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0] [5,2,7,4,1,6,3]=>{{1,5},{2},{3,7},{4},{6}}=>[5,2,7,4,1,6,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0] [5,2,7,4,3,1,6]=>{{1,5},{2},{3,7},{4},{6}}=>[5,2,7,4,1,6,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0] [5,2,7,4,3,6,1]=>{{1,5},{2},{3,7},{4},{6}}=>[5,2,7,4,1,6,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0] [5,2,7,4,6,1,3]=>{{1,5,6},{2},{3,7},{4}}=>[5,2,7,4,6,1,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0] [5,2,7,4,6,3,1]=>{{1,5,6},{2},{3,7},{4}}=>[5,2,7,4,6,1,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0] [5,2,7,6,1,3,4]=>{{1,5},{2},{3,7},{4,6}}=>[5,2,7,6,1,4,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0] [5,2,7,6,1,4,3]=>{{1,5},{2},{3,7},{4,6}}=>[5,2,7,6,1,4,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0] [5,2,7,6,3,1,4]=>{{1,5},{2},{3,7},{4,6}}=>[5,2,7,6,1,4,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0] [5,2,7,6,3,4,1]=>{{1,5},{2},{3,7},{4,6}}=>[5,2,7,6,1,4,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0] [5,2,7,6,4,1,3]=>{{1,5},{2},{3,7},{4,6}}=>[5,2,7,6,1,4,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0] [5,2,7,6,4,3,1]=>{{1,5},{2},{3,7},{4,6}}=>[5,2,7,6,1,4,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0] [5,3,1,2,4,6,7]=>{{1,5},{2,3},{4},{6},{7}}=>[5,3,2,4,1,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0] [5,3,1,2,4,7,6]=>{{1,5},{2,3},{4},{6,7}}=>[5,3,2,4,1,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0] [5,3,1,2,6,4,7]=>{{1,5,6},{2,3},{4},{7}}=>[5,3,2,4,6,1,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0] [5,3,1,2,6,7,4]=>{{1,5,6,7},{2,3},{4}}=>[5,3,2,4,6,7,1]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0] [5,3,1,2,7,4,6]=>{{1,5,7},{2,3},{4},{6}}=>[5,3,2,4,7,6,1]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0] [5,3,1,2,7,6,4]=>{{1,5,7},{2,3},{4},{6}}=>[5,3,2,4,7,6,1]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0] [5,3,1,4,2,6,7]=>{{1,5},{2,3},{4},{6},{7}}=>[5,3,2,4,1,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0] [5,3,1,4,2,7,6]=>{{1,5},{2,3},{4},{6,7}}=>[5,3,2,4,1,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0] [5,3,1,4,6,2,7]=>{{1,5,6},{2,3},{4},{7}}=>[5,3,2,4,6,1,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0] [5,3,1,4,6,7,2]=>{{1,5,6,7},{2,3},{4}}=>[5,3,2,4,6,7,1]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0] [5,3,1,4,7,2,6]=>{{1,5,7},{2,3},{4},{6}}=>[5,3,2,4,7,6,1]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0] [5,3,1,4,7,6,2]=>{{1,5,7},{2,3},{4},{6}}=>[5,3,2,4,7,6,1]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0] [5,3,1,6,2,4,7]=>{{1,5},{2,3},{4,6},{7}}=>[5,3,2,6,1,4,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0] [5,3,1,6,2,7,4]=>{{1,5},{2,3},{4,6,7}}=>[5,3,2,6,1,7,4]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0] [5,3,1,6,4,2,7]=>{{1,5},{2,3},{4,6},{7}}=>[5,3,2,6,1,4,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0] [5,3,1,6,4,7,2]=>{{1,5},{2,3},{4,6,7}}=>[5,3,2,6,1,7,4]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0] [5,3,1,6,7,2,4]=>{{1,5,7},{2,3},{4,6}}=>[5,3,2,6,7,4,1]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0] [5,3,1,6,7,4,2]=>{{1,5,7},{2,3},{4,6}}=>[5,3,2,6,7,4,1]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0] [5,3,1,7,2,4,6]=>{{1,5},{2,3},{4,7},{6}}=>[5,3,2,7,1,6,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0] [5,3,1,7,2,6,4]=>{{1,5},{2,3},{4,7},{6}}=>[5,3,2,7,1,6,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0] [5,3,1,7,4,2,6]=>{{1,5},{2,3},{4,7},{6}}=>[5,3,2,7,1,6,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0] [5,3,1,7,4,6,2]=>{{1,5},{2,3},{4,7},{6}}=>[5,3,2,7,1,6,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0] [5,3,1,7,6,2,4]=>{{1,5,6},{2,3},{4,7}}=>[5,3,2,7,6,1,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0] [5,3,1,7,6,4,2]=>{{1,5,6},{2,3},{4,7}}=>[5,3,2,7,6,1,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0] [5,3,2,1,4,6,7]=>{{1,5},{2,3},{4},{6},{7}}=>[5,3,2,4,1,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0] [5,3,2,1,4,7,6]=>{{1,5},{2,3},{4},{6,7}}=>[5,3,2,4,1,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0] [5,3,2,1,6,4,7]=>{{1,5,6},{2,3},{4},{7}}=>[5,3,2,4,6,1,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0] [5,3,2,1,6,7,4]=>{{1,5,6,7},{2,3},{4}}=>[5,3,2,4,6,7,1]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0] [5,3,2,1,7,4,6]=>{{1,5,7},{2,3},{4},{6}}=>[5,3,2,4,7,6,1]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0] [5,3,2,1,7,6,4]=>{{1,5,7},{2,3},{4},{6}}=>[5,3,2,4,7,6,1]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0] [5,3,2,4,1,6,7]=>{{1,5},{2,3},{4},{6},{7}}=>[5,3,2,4,1,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0] [5,3,2,4,1,7,6]=>{{1,5},{2,3},{4},{6,7}}=>[5,3,2,4,1,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0] [5,3,2,4,6,1,7]=>{{1,5,6},{2,3},{4},{7}}=>[5,3,2,4,6,1,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0] [5,3,2,4,6,7,1]=>{{1,5,6,7},{2,3},{4}}=>[5,3,2,4,6,7,1]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0] [5,3,2,4,7,1,6]=>{{1,5,7},{2,3},{4},{6}}=>[5,3,2,4,7,6,1]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0] [5,3,2,4,7,6,1]=>{{1,5,7},{2,3},{4},{6}}=>[5,3,2,4,7,6,1]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0] [5,3,2,6,1,4,7]=>{{1,5},{2,3},{4,6},{7}}=>[5,3,2,6,1,4,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0] [5,3,2,6,1,7,4]=>{{1,5},{2,3},{4,6,7}}=>[5,3,2,6,1,7,4]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0] [5,3,2,6,4,1,7]=>{{1,5},{2,3},{4,6},{7}}=>[5,3,2,6,1,4,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0] [5,3,2,6,4,7,1]=>{{1,5},{2,3},{4,6,7}}=>[5,3,2,6,1,7,4]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0] [5,3,2,6,7,1,4]=>{{1,5,7},{2,3},{4,6}}=>[5,3,2,6,7,4,1]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0] [5,3,2,6,7,4,1]=>{{1,5,7},{2,3},{4,6}}=>[5,3,2,6,7,4,1]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0] [5,3,2,7,1,4,6]=>{{1,5},{2,3},{4,7},{6}}=>[5,3,2,7,1,6,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0] [5,3,2,7,1,6,4]=>{{1,5},{2,3},{4,7},{6}}=>[5,3,2,7,1,6,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0] [5,3,2,7,4,1,6]=>{{1,5},{2,3},{4,7},{6}}=>[5,3,2,7,1,6,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0] [5,3,2,7,4,6,1]=>{{1,5},{2,3},{4,7},{6}}=>[5,3,2,7,1,6,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0] [5,3,2,7,6,1,4]=>{{1,5,6},{2,3},{4,7}}=>[5,3,2,7,6,1,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0] [5,3,2,7,6,4,1]=>{{1,5,6},{2,3},{4,7}}=>[5,3,2,7,6,1,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0] [5,3,4,1,2,6,7]=>{{1,5},{2,3,4},{6},{7}}=>[5,3,4,2,1,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0] [5,3,4,1,2,7,6]=>{{1,5},{2,3,4},{6,7}}=>[5,3,4,2,1,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0] [5,3,4,1,6,2,7]=>{{1,5,6},{2,3,4},{7}}=>[5,3,4,2,6,1,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0] [5,3,4,1,6,7,2]=>{{1,5,6,7},{2,3,4}}=>[5,3,4,2,6,7,1]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0] [5,3,4,1,7,2,6]=>{{1,5,7},{2,3,4},{6}}=>[5,3,4,2,7,6,1]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0] [5,3,4,1,7,6,2]=>{{1,5,7},{2,3,4},{6}}=>[5,3,4,2,7,6,1]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0] [5,3,4,2,1,6,7]=>{{1,5},{2,3,4},{6},{7}}=>[5,3,4,2,1,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0] [5,3,4,2,1,7,6]=>{{1,5},{2,3,4},{6,7}}=>[5,3,4,2,1,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0] [5,3,4,2,6,1,7]=>{{1,5,6},{2,3,4},{7}}=>[5,3,4,2,6,1,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0] [5,3,4,2,6,7,1]=>{{1,5,6,7},{2,3,4}}=>[5,3,4,2,6,7,1]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0] [5,3,4,2,7,1,6]=>{{1,5,7},{2,3,4},{6}}=>[5,3,4,2,7,6,1]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0] [5,3,4,2,7,6,1]=>{{1,5,7},{2,3,4},{6}}=>[5,3,4,2,7,6,1]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0] [5,3,4,6,1,2,7]=>{{1,5},{2,3,4,6},{7}}=>[5,3,4,6,1,2,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0] [5,3,4,6,1,7,2]=>{{1,5},{2,3,4,6,7}}=>[5,3,4,6,1,7,2]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0] [5,3,4,6,2,1,7]=>{{1,5},{2,3,4,6},{7}}=>[5,3,4,6,1,2,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0] [5,3,4,6,2,7,1]=>{{1,5},{2,3,4,6,7}}=>[5,3,4,6,1,7,2]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0] [5,3,4,6,7,1,2]=>{{1,5,7},{2,3,4,6}}=>[5,3,4,6,7,2,1]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0] [5,3,4,6,7,2,1]=>{{1,5,7},{2,3,4,6}}=>[5,3,4,6,7,2,1]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0] [5,3,4,7,1,2,6]=>{{1,5},{2,3,4,7},{6}}=>[5,3,4,7,1,6,2]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0] [5,3,4,7,1,6,2]=>{{1,5},{2,3,4,7},{6}}=>[5,3,4,7,1,6,2]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0] [5,3,4,7,2,1,6]=>{{1,5},{2,3,4,7},{6}}=>[5,3,4,7,1,6,2]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0] [5,3,4,7,2,6,1]=>{{1,5},{2,3,4,7},{6}}=>[5,3,4,7,1,6,2]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0] [5,3,4,7,6,1,2]=>{{1,5,6},{2,3,4,7}}=>[5,3,4,7,6,1,2]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0] [5,3,4,7,6,2,1]=>{{1,5,6},{2,3,4,7}}=>[5,3,4,7,6,1,2]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0] [5,3,6,1,2,4,7]=>{{1,5},{2,3,6},{4},{7}}=>[5,3,6,4,1,2,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0] [5,3,6,1,2,7,4]=>{{1,5},{2,3,6,7},{4}}=>[5,3,6,4,1,7,2]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0] [5,3,6,1,4,2,7]=>{{1,5},{2,3,6},{4},{7}}=>[5,3,6,4,1,2,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0] [5,3,6,1,4,7,2]=>{{1,5},{2,3,6,7},{4}}=>[5,3,6,4,1,7,2]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0] [5,3,6,1,7,2,4]=>{{1,5,7},{2,3,6},{4}}=>[5,3,6,4,7,2,1]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0] [5,3,6,1,7,4,2]=>{{1,5,7},{2,3,6},{4}}=>[5,3,6,4,7,2,1]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0] [5,3,6,2,1,4,7]=>{{1,5},{2,3,6},{4},{7}}=>[5,3,6,4,1,2,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0] [5,3,6,2,1,7,4]=>{{1,5},{2,3,6,7},{4}}=>[5,3,6,4,1,7,2]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0] [5,3,6,2,4,1,7]=>{{1,5},{2,3,6},{4},{7}}=>[5,3,6,4,1,2,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0] [5,3,6,2,4,7,1]=>{{1,5},{2,3,6,7},{4}}=>[5,3,6,4,1,7,2]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0] [5,3,6,2,7,1,4]=>{{1,5,7},{2,3,6},{4}}=>[5,3,6,4,7,2,1]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0] [5,3,6,2,7,4,1]=>{{1,5,7},{2,3,6},{4}}=>[5,3,6,4,7,2,1]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0] [5,3,6,4,1,2,7]=>{{1,5},{2,3,6},{4},{7}}=>[5,3,6,4,1,2,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0] [5,3,6,4,1,7,2]=>{{1,5},{2,3,6,7},{4}}=>[5,3,6,4,1,7,2]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0] [5,3,6,4,2,1,7]=>{{1,5},{2,3,6},{4},{7}}=>[5,3,6,4,1,2,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0] [5,3,6,4,2,7,1]=>{{1,5},{2,3,6,7},{4}}=>[5,3,6,4,1,7,2]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0] [5,3,6,4,7,1,2]=>{{1,5,7},{2,3,6},{4}}=>[5,3,6,4,7,2,1]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0] [5,3,6,4,7,2,1]=>{{1,5,7},{2,3,6},{4}}=>[5,3,6,4,7,2,1]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0] [5,3,6,7,1,2,4]=>{{1,5},{2,3,6},{4,7}}=>[5,3,6,7,1,2,4]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0] [5,3,6,7,1,4,2]=>{{1,5},{2,3,6},{4,7}}=>[5,3,6,7,1,2,4]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0] [5,3,6,7,2,1,4]=>{{1,5},{2,3,6},{4,7}}=>[5,3,6,7,1,2,4]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0] [5,3,6,7,2,4,1]=>{{1,5},{2,3,6},{4,7}}=>[5,3,6,7,1,2,4]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0] [5,3,6,7,4,1,2]=>{{1,5},{2,3,6},{4,7}}=>[5,3,6,7,1,2,4]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0] [5,3,6,7,4,2,1]=>{{1,5},{2,3,6},{4,7}}=>[5,3,6,7,1,2,4]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0] [5,3,7,1,2,4,6]=>{{1,5},{2,3,7},{4},{6}}=>[5,3,7,4,1,6,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0] [5,3,7,1,2,6,4]=>{{1,5},{2,3,7},{4},{6}}=>[5,3,7,4,1,6,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0] [5,3,7,1,4,2,6]=>{{1,5},{2,3,7},{4},{6}}=>[5,3,7,4,1,6,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0] [5,3,7,1,4,6,2]=>{{1,5},{2,3,7},{4},{6}}=>[5,3,7,4,1,6,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0] [5,3,7,1,6,2,4]=>{{1,5,6},{2,3,7},{4}}=>[5,3,7,4,6,1,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0] [5,3,7,1,6,4,2]=>{{1,5,6},{2,3,7},{4}}=>[5,3,7,4,6,1,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0] [5,3,7,2,1,4,6]=>{{1,5},{2,3,7},{4},{6}}=>[5,3,7,4,1,6,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0] [5,3,7,2,1,6,4]=>{{1,5},{2,3,7},{4},{6}}=>[5,3,7,4,1,6,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0] [5,3,7,2,4,1,6]=>{{1,5},{2,3,7},{4},{6}}=>[5,3,7,4,1,6,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0] [5,3,7,2,4,6,1]=>{{1,5},{2,3,7},{4},{6}}=>[5,3,7,4,1,6,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0] [5,3,7,2,6,1,4]=>{{1,5,6},{2,3,7},{4}}=>[5,3,7,4,6,1,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0] [5,3,7,2,6,4,1]=>{{1,5,6},{2,3,7},{4}}=>[5,3,7,4,6,1,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0] [5,3,7,4,1,2,6]=>{{1,5},{2,3,7},{4},{6}}=>[5,3,7,4,1,6,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0] [5,3,7,4,1,6,2]=>{{1,5},{2,3,7},{4},{6}}=>[5,3,7,4,1,6,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0] [5,3,7,4,2,1,6]=>{{1,5},{2,3,7},{4},{6}}=>[5,3,7,4,1,6,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0] [5,3,7,4,2,6,1]=>{{1,5},{2,3,7},{4},{6}}=>[5,3,7,4,1,6,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0] [5,3,7,4,6,1,2]=>{{1,5,6},{2,3,7},{4}}=>[5,3,7,4,6,1,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0] [5,3,7,4,6,2,1]=>{{1,5,6},{2,3,7},{4}}=>[5,3,7,4,6,1,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0] [5,3,7,6,1,2,4]=>{{1,5},{2,3,7},{4,6}}=>[5,3,7,6,1,4,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0] [5,3,7,6,1,4,2]=>{{1,5},{2,3,7},{4,6}}=>[5,3,7,6,1,4,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0] [5,3,7,6,2,1,4]=>{{1,5},{2,3,7},{4,6}}=>[5,3,7,6,1,4,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0] [5,3,7,6,2,4,1]=>{{1,5},{2,3,7},{4,6}}=>[5,3,7,6,1,4,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0] [5,3,7,6,4,1,2]=>{{1,5},{2,3,7},{4,6}}=>[5,3,7,6,1,4,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0] [5,3,7,6,4,2,1]=>{{1,5},{2,3,7},{4,6}}=>[5,3,7,6,1,4,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0] [5,4,1,2,3,6,7]=>{{1,5},{2,4},{3},{6},{7}}=>[5,4,3,2,1,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0] [5,4,1,2,3,7,6]=>{{1,5},{2,4},{3},{6,7}}=>[5,4,3,2,1,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0] [5,4,1,2,6,3,7]=>{{1,5,6},{2,4},{3},{7}}=>[5,4,3,2,6,1,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0] [5,4,1,2,6,7,3]=>{{1,5,6,7},{2,4},{3}}=>[5,4,3,2,6,7,1]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0] [5,4,1,2,7,3,6]=>{{1,5,7},{2,4},{3},{6}}=>[5,4,3,2,7,6,1]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0] [5,4,1,2,7,6,3]=>{{1,5,7},{2,4},{3},{6}}=>[5,4,3,2,7,6,1]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0] [5,4,1,3,2,6,7]=>{{1,5},{2,4},{3},{6},{7}}=>[5,4,3,2,1,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0] [5,4,1,3,2,7,6]=>{{1,5},{2,4},{3},{6,7}}=>[5,4,3,2,1,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0] [5,4,1,3,6,2,7]=>{{1,5,6},{2,4},{3},{7}}=>[5,4,3,2,6,1,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0] [5,4,1,3,6,7,2]=>{{1,5,6,7},{2,4},{3}}=>[5,4,3,2,6,7,1]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0] [5,4,1,3,7,2,6]=>{{1,5,7},{2,4},{3},{6}}=>[5,4,3,2,7,6,1]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0] [5,4,1,3,7,6,2]=>{{1,5,7},{2,4},{3},{6}}=>[5,4,3,2,7,6,1]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0] [5,4,1,6,2,3,7]=>{{1,5},{2,4,6},{3},{7}}=>[5,4,3,6,1,2,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0] [5,4,1,6,2,7,3]=>{{1,5},{2,4,6,7},{3}}=>[5,4,3,6,1,7,2]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0] [5,4,1,6,3,2,7]=>{{1,5},{2,4,6},{3},{7}}=>[5,4,3,6,1,2,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0] [5,4,1,6,3,7,2]=>{{1,5},{2,4,6,7},{3}}=>[5,4,3,6,1,7,2]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0] [5,4,1,6,7,2,3]=>{{1,5,7},{2,4,6},{3}}=>[5,4,3,6,7,2,1]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0] [5,4,1,6,7,3,2]=>{{1,5,7},{2,4,6},{3}}=>[5,4,3,6,7,2,1]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0] [5,4,1,7,2,3,6]=>{{1,5},{2,4,7},{3},{6}}=>[5,4,3,7,1,6,2]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0] [5,4,1,7,2,6,3]=>{{1,5},{2,4,7},{3},{6}}=>[5,4,3,7,1,6,2]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0] [5,4,1,7,3,2,6]=>{{1,5},{2,4,7},{3},{6}}=>[5,4,3,7,1,6,2]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0] [5,4,1,7,3,6,2]=>{{1,5},{2,4,7},{3},{6}}=>[5,4,3,7,1,6,2]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0] [5,4,1,7,6,2,3]=>{{1,5,6},{2,4,7},{3}}=>[5,4,3,7,6,1,2]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0] [5,4,1,7,6,3,2]=>{{1,5,6},{2,4,7},{3}}=>[5,4,3,7,6,1,2]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0] [5,4,2,1,3,6,7]=>{{1,5},{2,4},{3},{6},{7}}=>[5,4,3,2,1,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0] [5,4,2,1,3,7,6]=>{{1,5},{2,4},{3},{6,7}}=>[5,4,3,2,1,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0] [5,4,2,1,6,3,7]=>{{1,5,6},{2,4},{3},{7}}=>[5,4,3,2,6,1,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0] [5,4,2,1,6,7,3]=>{{1,5,6,7},{2,4},{3}}=>[5,4,3,2,6,7,1]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0] [5,4,2,1,7,3,6]=>{{1,5,7},{2,4},{3},{6}}=>[5,4,3,2,7,6,1]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0] [5,4,2,1,7,6,3]=>{{1,5,7},{2,4},{3},{6}}=>[5,4,3,2,7,6,1]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0] [5,4,2,3,1,6,7]=>{{1,5},{2,4},{3},{6},{7}}=>[5,4,3,2,1,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0] [5,4,2,3,1,7,6]=>{{1,5},{2,4},{3},{6,7}}=>[5,4,3,2,1,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0] [5,4,2,3,6,1,7]=>{{1,5,6},{2,4},{3},{7}}=>[5,4,3,2,6,1,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0] [5,4,2,3,6,7,1]=>{{1,5,6,7},{2,4},{3}}=>[5,4,3,2,6,7,1]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0] [5,4,2,3,7,1,6]=>{{1,5,7},{2,4},{3},{6}}=>[5,4,3,2,7,6,1]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0] [5,4,2,3,7,6,1]=>{{1,5,7},{2,4},{3},{6}}=>[5,4,3,2,7,6,1]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0] [5,4,2,6,1,3,7]=>{{1,5},{2,4,6},{3},{7}}=>[5,4,3,6,1,2,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0] [5,4,2,6,1,7,3]=>{{1,5},{2,4,6,7},{3}}=>[5,4,3,6,1,7,2]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0] [5,4,2,6,3,1,7]=>{{1,5},{2,4,6},{3},{7}}=>[5,4,3,6,1,2,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0] [5,4,2,6,3,7,1]=>{{1,5},{2,4,6,7},{3}}=>[5,4,3,6,1,7,2]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0] [5,4,2,6,7,1,3]=>{{1,5,7},{2,4,6},{3}}=>[5,4,3,6,7,2,1]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0] [5,4,2,6,7,3,1]=>{{1,5,7},{2,4,6},{3}}=>[5,4,3,6,7,2,1]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0] [5,4,2,7,1,3,6]=>{{1,5},{2,4,7},{3},{6}}=>[5,4,3,7,1,6,2]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0] [5,4,2,7,1,6,3]=>{{1,5},{2,4,7},{3},{6}}=>[5,4,3,7,1,6,2]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0] [5,4,2,7,3,1,6]=>{{1,5},{2,4,7},{3},{6}}=>[5,4,3,7,1,6,2]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0] [5,4,2,7,3,6,1]=>{{1,5},{2,4,7},{3},{6}}=>[5,4,3,7,1,6,2]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0] [5,4,2,7,6,1,3]=>{{1,5,6},{2,4,7},{3}}=>[5,4,3,7,6,1,2]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0] [5,4,2,7,6,3,1]=>{{1,5,6},{2,4,7},{3}}=>[5,4,3,7,6,1,2]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0] [5,4,3,1,2,6,7]=>{{1,5},{2,4},{3},{6},{7}}=>[5,4,3,2,1,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0] [5,4,3,1,2,7,6]=>{{1,5},{2,4},{3},{6,7}}=>[5,4,3,2,1,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0] [5,4,3,1,6,2,7]=>{{1,5,6},{2,4},{3},{7}}=>[5,4,3,2,6,1,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0] [5,4,3,1,6,7,2]=>{{1,5,6,7},{2,4},{3}}=>[5,4,3,2,6,7,1]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0] [5,4,3,1,7,2,6]=>{{1,5,7},{2,4},{3},{6}}=>[5,4,3,2,7,6,1]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0] [5,4,3,1,7,6,2]=>{{1,5,7},{2,4},{3},{6}}=>[5,4,3,2,7,6,1]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0] [5,4,3,2,1,6,7]=>{{1,5},{2,4},{3},{6},{7}}=>[5,4,3,2,1,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0] [5,4,3,2,1,7,6]=>{{1,5},{2,4},{3},{6,7}}=>[5,4,3,2,1,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0] [5,4,3,2,6,1,7]=>{{1,5,6},{2,4},{3},{7}}=>[5,4,3,2,6,1,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0] [5,4,3,2,6,7,1]=>{{1,5,6,7},{2,4},{3}}=>[5,4,3,2,6,7,1]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0] [5,4,3,2,7,1,6]=>{{1,5,7},{2,4},{3},{6}}=>[5,4,3,2,7,6,1]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0] [5,4,3,2,7,6,1]=>{{1,5,7},{2,4},{3},{6}}=>[5,4,3,2,7,6,1]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0] [5,4,3,6,1,2,7]=>{{1,5},{2,4,6},{3},{7}}=>[5,4,3,6,1,2,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0] [5,4,3,6,1,7,2]=>{{1,5},{2,4,6,7},{3}}=>[5,4,3,6,1,7,2]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0] [5,4,3,6,2,1,7]=>{{1,5},{2,4,6},{3},{7}}=>[5,4,3,6,1,2,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0] [5,4,3,6,2,7,1]=>{{1,5},{2,4,6,7},{3}}=>[5,4,3,6,1,7,2]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0] [5,4,3,6,7,1,2]=>{{1,5,7},{2,4,6},{3}}=>[5,4,3,6,7,2,1]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0] [5,4,3,6,7,2,1]=>{{1,5,7},{2,4,6},{3}}=>[5,4,3,6,7,2,1]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0] [5,4,3,7,1,2,6]=>{{1,5},{2,4,7},{3},{6}}=>[5,4,3,7,1,6,2]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0] [5,4,3,7,1,6,2]=>{{1,5},{2,4,7},{3},{6}}=>[5,4,3,7,1,6,2]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0] [5,4,3,7,2,1,6]=>{{1,5},{2,4,7},{3},{6}}=>[5,4,3,7,1,6,2]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0] [5,4,3,7,2,6,1]=>{{1,5},{2,4,7},{3},{6}}=>[5,4,3,7,1,6,2]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0] [5,4,3,7,6,1,2]=>{{1,5,6},{2,4,7},{3}}=>[5,4,3,7,6,1,2]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0] [5,4,3,7,6,2,1]=>{{1,5,6},{2,4,7},{3}}=>[5,4,3,7,6,1,2]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0] [5,4,6,1,2,3,7]=>{{1,5},{2,4},{3,6},{7}}=>[5,4,6,2,1,3,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0] [5,4,6,1,2,7,3]=>{{1,5},{2,4},{3,6,7}}=>[5,4,6,2,1,7,3]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0] [5,4,6,1,3,2,7]=>{{1,5},{2,4},{3,6},{7}}=>[5,4,6,2,1,3,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0] [5,4,6,1,3,7,2]=>{{1,5},{2,4},{3,6,7}}=>[5,4,6,2,1,7,3]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0] [5,4,6,1,7,2,3]=>{{1,5,7},{2,4},{3,6}}=>[5,4,6,2,7,3,1]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0] [5,4,6,1,7,3,2]=>{{1,5,7},{2,4},{3,6}}=>[5,4,6,2,7,3,1]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0] [5,4,6,2,1,3,7]=>{{1,5},{2,4},{3,6},{7}}=>[5,4,6,2,1,3,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0] [5,4,6,2,1,7,3]=>{{1,5},{2,4},{3,6,7}}=>[5,4,6,2,1,7,3]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0] [5,4,6,2,3,1,7]=>{{1,5},{2,4},{3,6},{7}}=>[5,4,6,2,1,3,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0] [5,4,6,2,3,7,1]=>{{1,5},{2,4},{3,6,7}}=>[5,4,6,2,1,7,3]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0] [5,4,6,2,7,1,3]=>{{1,5,7},{2,4},{3,6}}=>[5,4,6,2,7,3,1]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0] [5,4,6,2,7,3,1]=>{{1,5,7},{2,4},{3,6}}=>[5,4,6,2,7,3,1]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0] [5,4,6,3,1,2,7]=>{{1,5},{2,4},{3,6},{7}}=>[5,4,6,2,1,3,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0] [5,4,6,3,1,7,2]=>{{1,5},{2,4},{3,6,7}}=>[5,4,6,2,1,7,3]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0] [5,4,6,3,2,1,7]=>{{1,5},{2,4},{3,6},{7}}=>[5,4,6,2,1,3,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0] [5,4,6,3,2,7,1]=>{{1,5},{2,4},{3,6,7}}=>[5,4,6,2,1,7,3]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0] [5,4,6,3,7,1,2]=>{{1,5,7},{2,4},{3,6}}=>[5,4,6,2,7,3,1]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0] [5,4,6,3,7,2,1]=>{{1,5,7},{2,4},{3,6}}=>[5,4,6,2,7,3,1]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0] [5,4,6,7,1,2,3]=>{{1,5},{2,4,7},{3,6}}=>[5,4,6,7,1,3,2]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0] [5,4,6,7,1,3,2]=>{{1,5},{2,4,7},{3,6}}=>[5,4,6,7,1,3,2]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0] [5,4,6,7,2,1,3]=>{{1,5},{2,4,7},{3,6}}=>[5,4,6,7,1,3,2]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0] [5,4,6,7,2,3,1]=>{{1,5},{2,4,7},{3,6}}=>[5,4,6,7,1,3,2]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0] [5,4,6,7,3,1,2]=>{{1,5},{2,4,7},{3,6}}=>[5,4,6,7,1,3,2]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0] [5,4,6,7,3,2,1]=>{{1,5},{2,4,7},{3,6}}=>[5,4,6,7,1,3,2]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0] [5,4,7,1,2,3,6]=>{{1,5},{2,4},{3,7},{6}}=>[5,4,7,2,1,6,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0] [5,4,7,1,2,6,3]=>{{1,5},{2,4},{3,7},{6}}=>[5,4,7,2,1,6,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0] [5,4,7,1,3,2,6]=>{{1,5},{2,4},{3,7},{6}}=>[5,4,7,2,1,6,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0] [5,4,7,1,3,6,2]=>{{1,5},{2,4},{3,7},{6}}=>[5,4,7,2,1,6,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0] [5,4,7,1,6,2,3]=>{{1,5,6},{2,4},{3,7}}=>[5,4,7,2,6,1,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0] [5,4,7,1,6,3,2]=>{{1,5,6},{2,4},{3,7}}=>[5,4,7,2,6,1,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0] [5,4,7,2,1,3,6]=>{{1,5},{2,4},{3,7},{6}}=>[5,4,7,2,1,6,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0] [5,4,7,2,1,6,3]=>{{1,5},{2,4},{3,7},{6}}=>[5,4,7,2,1,6,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0] [5,4,7,2,3,1,6]=>{{1,5},{2,4},{3,7},{6}}=>[5,4,7,2,1,6,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0] [5,4,7,2,3,6,1]=>{{1,5},{2,4},{3,7},{6}}=>[5,4,7,2,1,6,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0] [5,4,7,2,6,1,3]=>{{1,5,6},{2,4},{3,7}}=>[5,4,7,2,6,1,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0] [5,4,7,2,6,3,1]=>{{1,5,6},{2,4},{3,7}}=>[5,4,7,2,6,1,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0] [5,4,7,3,1,2,6]=>{{1,5},{2,4},{3,7},{6}}=>[5,4,7,2,1,6,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0] [5,4,7,3,1,6,2]=>{{1,5},{2,4},{3,7},{6}}=>[5,4,7,2,1,6,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0] [5,4,7,3,2,1,6]=>{{1,5},{2,4},{3,7},{6}}=>[5,4,7,2,1,6,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0] [5,4,7,3,2,6,1]=>{{1,5},{2,4},{3,7},{6}}=>[5,4,7,2,1,6,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0] [5,4,7,3,6,1,2]=>{{1,5,6},{2,4},{3,7}}=>[5,4,7,2,6,1,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0] [5,4,7,3,6,2,1]=>{{1,5,6},{2,4},{3,7}}=>[5,4,7,2,6,1,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0] [5,4,7,6,1,2,3]=>{{1,5},{2,4,6},{3,7}}=>[5,4,7,6,1,2,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0] [5,4,7,6,1,3,2]=>{{1,5},{2,4,6},{3,7}}=>[5,4,7,6,1,2,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0] [5,4,7,6,2,1,3]=>{{1,5},{2,4,6},{3,7}}=>[5,4,7,6,1,2,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0] [5,4,7,6,2,3,1]=>{{1,5},{2,4,6},{3,7}}=>[5,4,7,6,1,2,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0] [5,4,7,6,3,1,2]=>{{1,5},{2,4,6},{3,7}}=>[5,4,7,6,1,2,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0] [5,4,7,6,3,2,1]=>{{1,5},{2,4,6},{3,7}}=>[5,4,7,6,1,2,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0] [5,6,1,2,3,4,7]=>{{1,5},{2,6},{3},{4},{7}}=>[5,6,3,4,1,2,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0] [5,6,1,2,3,7,4]=>{{1,5},{2,6,7},{3},{4}}=>[5,6,3,4,1,7,2]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0] [5,6,1,2,4,3,7]=>{{1,5},{2,6},{3},{4},{7}}=>[5,6,3,4,1,2,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0] [5,6,1,2,4,7,3]=>{{1,5},{2,6,7},{3},{4}}=>[5,6,3,4,1,7,2]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0] [5,6,1,2,7,3,4]=>{{1,5,7},{2,6},{3},{4}}=>[5,6,3,4,7,2,1]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0] [5,6,1,2,7,4,3]=>{{1,5,7},{2,6},{3},{4}}=>[5,6,3,4,7,2,1]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0] [5,6,1,3,2,4,7]=>{{1,5},{2,6},{3},{4},{7}}=>[5,6,3,4,1,2,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0] [5,6,1,3,2,7,4]=>{{1,5},{2,6,7},{3},{4}}=>[5,6,3,4,1,7,2]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0] [5,6,1,3,4,2,7]=>{{1,5},{2,6},{3},{4},{7}}=>[5,6,3,4,1,2,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0] [5,6,1,3,4,7,2]=>{{1,5},{2,6,7},{3},{4}}=>[5,6,3,4,1,7,2]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0] [5,6,1,3,7,2,4]=>{{1,5,7},{2,6},{3},{4}}=>[5,6,3,4,7,2,1]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0] [5,6,1,3,7,4,2]=>{{1,5,7},{2,6},{3},{4}}=>[5,6,3,4,7,2,1]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0] [5,6,1,4,2,3,7]=>{{1,5},{2,6},{3},{4},{7}}=>[5,6,3,4,1,2,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0] [5,6,1,4,2,7,3]=>{{1,5},{2,6,7},{3},{4}}=>[5,6,3,4,1,7,2]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0] [5,6,1,4,3,2,7]=>{{1,5},{2,6},{3},{4},{7}}=>[5,6,3,4,1,2,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0] [5,6,1,4,3,7,2]=>{{1,5},{2,6,7},{3},{4}}=>[5,6,3,4,1,7,2]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0] [5,6,1,4,7,2,3]=>{{1,5,7},{2,6},{3},{4}}=>[5,6,3,4,7,2,1]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0] [5,6,1,4,7,3,2]=>{{1,5,7},{2,6},{3},{4}}=>[5,6,3,4,7,2,1]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0] [5,6,1,7,2,3,4]=>{{1,5},{2,6},{3},{4,7}}=>[5,6,3,7,1,2,4]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0] [5,6,1,7,2,4,3]=>{{1,5},{2,6},{3},{4,7}}=>[5,6,3,7,1,2,4]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0] [5,6,1,7,3,2,4]=>{{1,5},{2,6},{3},{4,7}}=>[5,6,3,7,1,2,4]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0] [5,6,1,7,3,4,2]=>{{1,5},{2,6},{3},{4,7}}=>[5,6,3,7,1,2,4]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0] [5,6,1,7,4,2,3]=>{{1,5},{2,6},{3},{4,7}}=>[5,6,3,7,1,2,4]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0] [5,6,1,7,4,3,2]=>{{1,5},{2,6},{3},{4,7}}=>[5,6,3,7,1,2,4]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0] [5,6,2,1,3,4,7]=>{{1,5},{2,6},{3},{4},{7}}=>[5,6,3,4,1,2,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0] [5,6,2,1,3,7,4]=>{{1,5},{2,6,7},{3},{4}}=>[5,6,3,4,1,7,2]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0] [5,6,2,1,4,3,7]=>{{1,5},{2,6},{3},{4},{7}}=>[5,6,3,4,1,2,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0] [5,6,2,1,4,7,3]=>{{1,5},{2,6,7},{3},{4}}=>[5,6,3,4,1,7,2]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0] [5,6,2,1,7,3,4]=>{{1,5,7},{2,6},{3},{4}}=>[5,6,3,4,7,2,1]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0] [5,6,2,1,7,4,3]=>{{1,5,7},{2,6},{3},{4}}=>[5,6,3,4,7,2,1]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0] [5,6,2,3,1,4,7]=>{{1,5},{2,6},{3},{4},{7}}=>[5,6,3,4,1,2,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0] [5,6,2,3,1,7,4]=>{{1,5},{2,6,7},{3},{4}}=>[5,6,3,4,1,7,2]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0] [5,6,2,3,4,1,7]=>{{1,5},{2,6},{3},{4},{7}}=>[5,6,3,4,1,2,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0] [5,6,2,3,4,7,1]=>{{1,5},{2,6,7},{3},{4}}=>[5,6,3,4,1,7,2]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0] [5,6,2,3,7,1,4]=>{{1,5,7},{2,6},{3},{4}}=>[5,6,3,4,7,2,1]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0] [5,6,2,3,7,4,1]=>{{1,5,7},{2,6},{3},{4}}=>[5,6,3,4,7,2,1]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0] [5,6,2,4,1,3,7]=>{{1,5},{2,6},{3},{4},{7}}=>[5,6,3,4,1,2,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0] [5,6,2,4,1,7,3]=>{{1,5},{2,6,7},{3},{4}}=>[5,6,3,4,1,7,2]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0] [5,6,2,4,3,1,7]=>{{1,5},{2,6},{3},{4},{7}}=>[5,6,3,4,1,2,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0] [5,6,2,4,3,7,1]=>{{1,5},{2,6,7},{3},{4}}=>[5,6,3,4,1,7,2]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0] [5,6,2,4,7,1,3]=>{{1,5,7},{2,6},{3},{4}}=>[5,6,3,4,7,2,1]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0] [5,6,2,4,7,3,1]=>{{1,5,7},{2,6},{3},{4}}=>[5,6,3,4,7,2,1]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0] [5,6,2,7,1,3,4]=>{{1,5},{2,6},{3},{4,7}}=>[5,6,3,7,1,2,4]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0] [5,6,2,7,1,4,3]=>{{1,5},{2,6},{3},{4,7}}=>[5,6,3,7,1,2,4]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0] [5,6,2,7,3,1,4]=>{{1,5},{2,6},{3},{4,7}}=>[5,6,3,7,1,2,4]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0] [5,6,2,7,3,4,1]=>{{1,5},{2,6},{3},{4,7}}=>[5,6,3,7,1,2,4]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0] [5,6,2,7,4,1,3]=>{{1,5},{2,6},{3},{4,7}}=>[5,6,3,7,1,2,4]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0] [5,6,2,7,4,3,1]=>{{1,5},{2,6},{3},{4,7}}=>[5,6,3,7,1,2,4]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0] [5,6,3,1,2,4,7]=>{{1,5},{2,6},{3},{4},{7}}=>[5,6,3,4,1,2,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0] [5,6,3,1,2,7,4]=>{{1,5},{2,6,7},{3},{4}}=>[5,6,3,4,1,7,2]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0] [5,6,3,1,4,2,7]=>{{1,5},{2,6},{3},{4},{7}}=>[5,6,3,4,1,2,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0] [5,6,3,1,4,7,2]=>{{1,5},{2,6,7},{3},{4}}=>[5,6,3,4,1,7,2]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0] [5,6,3,1,7,2,4]=>{{1,5,7},{2,6},{3},{4}}=>[5,6,3,4,7,2,1]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0] [5,6,3,1,7,4,2]=>{{1,5,7},{2,6},{3},{4}}=>[5,6,3,4,7,2,1]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0] [5,6,3,2,1,4,7]=>{{1,5},{2,6},{3},{4},{7}}=>[5,6,3,4,1,2,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0] [5,6,3,2,1,7,4]=>{{1,5},{2,6,7},{3},{4}}=>[5,6,3,4,1,7,2]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0] [5,6,3,2,4,1,7]=>{{1,5},{2,6},{3},{4},{7}}=>[5,6,3,4,1,2,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0] [5,6,3,2,4,7,1]=>{{1,5},{2,6,7},{3},{4}}=>[5,6,3,4,1,7,2]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0] [5,6,3,2,7,1,4]=>{{1,5,7},{2,6},{3},{4}}=>[5,6,3,4,7,2,1]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0] [5,6,3,2,7,4,1]=>{{1,5,7},{2,6},{3},{4}}=>[5,6,3,4,7,2,1]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0] [5,6,3,4,1,2,7]=>{{1,5},{2,6},{3},{4},{7}}=>[5,6,3,4,1,2,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0] [5,6,3,4,1,7,2]=>{{1,5},{2,6,7},{3},{4}}=>[5,6,3,4,1,7,2]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0] [5,6,3,4,2,1,7]=>{{1,5},{2,6},{3},{4},{7}}=>[5,6,3,4,1,2,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0] [5,6,3,4,2,7,1]=>{{1,5},{2,6,7},{3},{4}}=>[5,6,3,4,1,7,2]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0] [5,6,3,4,7,1,2]=>{{1,5,7},{2,6},{3},{4}}=>[5,6,3,4,7,2,1]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0] [5,6,3,4,7,2,1]=>{{1,5,7},{2,6},{3},{4}}=>[5,6,3,4,7,2,1]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0] [5,6,3,7,1,2,4]=>{{1,5},{2,6},{3},{4,7}}=>[5,6,3,7,1,2,4]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0] [5,6,3,7,1,4,2]=>{{1,5},{2,6},{3},{4,7}}=>[5,6,3,7,1,2,4]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0] [5,6,3,7,2,1,4]=>{{1,5},{2,6},{3},{4,7}}=>[5,6,3,7,1,2,4]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0] [5,6,3,7,2,4,1]=>{{1,5},{2,6},{3},{4,7}}=>[5,6,3,7,1,2,4]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0] [5,6,3,7,4,1,2]=>{{1,5},{2,6},{3},{4,7}}=>[5,6,3,7,1,2,4]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0] [5,6,3,7,4,2,1]=>{{1,5},{2,6},{3},{4,7}}=>[5,6,3,7,1,2,4]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0] [5,6,4,1,2,3,7]=>{{1,5},{2,6},{3,4},{7}}=>[5,6,4,3,1,2,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0] [5,6,4,1,2,7,3]=>{{1,5},{2,6,7},{3,4}}=>[5,6,4,3,1,7,2]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0] [5,6,4,1,3,2,7]=>{{1,5},{2,6},{3,4},{7}}=>[5,6,4,3,1,2,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0] [5,6,4,1,3,7,2]=>{{1,5},{2,6,7},{3,4}}=>[5,6,4,3,1,7,2]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0] [5,6,4,1,7,2,3]=>{{1,5,7},{2,6},{3,4}}=>[5,6,4,3,7,2,1]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0] [5,6,4,1,7,3,2]=>{{1,5,7},{2,6},{3,4}}=>[5,6,4,3,7,2,1]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0] [5,6,4,2,1,3,7]=>{{1,5},{2,6},{3,4},{7}}=>[5,6,4,3,1,2,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0] [5,6,4,2,1,7,3]=>{{1,5},{2,6,7},{3,4}}=>[5,6,4,3,1,7,2]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0] [5,6,4,2,3,1,7]=>{{1,5},{2,6},{3,4},{7}}=>[5,6,4,3,1,2,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0] [5,6,4,2,3,7,1]=>{{1,5},{2,6,7},{3,4}}=>[5,6,4,3,1,7,2]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0] [5,6,4,2,7,1,3]=>{{1,5,7},{2,6},{3,4}}=>[5,6,4,3,7,2,1]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0] [5,6,4,2,7,3,1]=>{{1,5,7},{2,6},{3,4}}=>[5,6,4,3,7,2,1]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0] [5,6,4,3,1,2,7]=>{{1,5},{2,6},{3,4},{7}}=>[5,6,4,3,1,2,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0] [5,6,4,3,1,7,2]=>{{1,5},{2,6,7},{3,4}}=>[5,6,4,3,1,7,2]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0] [5,6,4,3,2,1,7]=>{{1,5},{2,6},{3,4},{7}}=>[5,6,4,3,1,2,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0] [5,6,4,3,2,7,1]=>{{1,5},{2,6,7},{3,4}}=>[5,6,4,3,1,7,2]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0] [5,6,4,3,7,1,2]=>{{1,5,7},{2,6},{3,4}}=>[5,6,4,3,7,2,1]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0] [5,6,4,3,7,2,1]=>{{1,5,7},{2,6},{3,4}}=>[5,6,4,3,7,2,1]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0] [5,6,4,7,1,2,3]=>{{1,5},{2,6},{3,4,7}}=>[5,6,4,7,1,2,3]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0] [5,6,4,7,1,3,2]=>{{1,5},{2,6},{3,4,7}}=>[5,6,4,7,1,2,3]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0] [5,6,4,7,2,1,3]=>{{1,5},{2,6},{3,4,7}}=>[5,6,4,7,1,2,3]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0] [5,6,4,7,2,3,1]=>{{1,5},{2,6},{3,4,7}}=>[5,6,4,7,1,2,3]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0] [5,6,4,7,3,1,2]=>{{1,5},{2,6},{3,4,7}}=>[5,6,4,7,1,2,3]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0] [5,6,4,7,3,2,1]=>{{1,5},{2,6},{3,4,7}}=>[5,6,4,7,1,2,3]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0] [5,6,7,1,2,3,4]=>{{1,5},{2,6},{3,7},{4}}=>[5,6,7,4,1,2,3]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0] [5,6,7,1,2,4,3]=>{{1,5},{2,6},{3,7},{4}}=>[5,6,7,4,1,2,3]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0] [5,6,7,1,3,2,4]=>{{1,5},{2,6},{3,7},{4}}=>[5,6,7,4,1,2,3]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0] [5,6,7,1,3,4,2]=>{{1,5},{2,6},{3,7},{4}}=>[5,6,7,4,1,2,3]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0] [5,6,7,1,4,2,3]=>{{1,5},{2,6},{3,7},{4}}=>[5,6,7,4,1,2,3]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0] [5,6,7,1,4,3,2]=>{{1,5},{2,6},{3,7},{4}}=>[5,6,7,4,1,2,3]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0] [5,6,7,2,1,3,4]=>{{1,5},{2,6},{3,7},{4}}=>[5,6,7,4,1,2,3]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0] [5,6,7,2,1,4,3]=>{{1,5},{2,6},{3,7},{4}}=>[5,6,7,4,1,2,3]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0] [5,6,7,2,3,1,4]=>{{1,5},{2,6},{3,7},{4}}=>[5,6,7,4,1,2,3]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0] [5,6,7,2,3,4,1]=>{{1,5},{2,6},{3,7},{4}}=>[5,6,7,4,1,2,3]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0] [5,6,7,2,4,1,3]=>{{1,5},{2,6},{3,7},{4}}=>[5,6,7,4,1,2,3]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0] [5,6,7,2,4,3,1]=>{{1,5},{2,6},{3,7},{4}}=>[5,6,7,4,1,2,3]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0] [5,6,7,3,1,2,4]=>{{1,5},{2,6},{3,7},{4}}=>[5,6,7,4,1,2,3]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0] [5,6,7,3,1,4,2]=>{{1,5},{2,6},{3,7},{4}}=>[5,6,7,4,1,2,3]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0] [5,6,7,3,2,1,4]=>{{1,5},{2,6},{3,7},{4}}=>[5,6,7,4,1,2,3]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0] [5,6,7,3,2,4,1]=>{{1,5},{2,6},{3,7},{4}}=>[5,6,7,4,1,2,3]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0] [5,6,7,3,4,1,2]=>{{1,5},{2,6},{3,7},{4}}=>[5,6,7,4,1,2,3]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0] [5,6,7,3,4,2,1]=>{{1,5},{2,6},{3,7},{4}}=>[5,6,7,4,1,2,3]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0] [5,6,7,4,1,2,3]=>{{1,5},{2,6},{3,7},{4}}=>[5,6,7,4,1,2,3]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0] [5,6,7,4,1,3,2]=>{{1,5},{2,6},{3,7},{4}}=>[5,6,7,4,1,2,3]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0] [5,6,7,4,2,1,3]=>{{1,5},{2,6},{3,7},{4}}=>[5,6,7,4,1,2,3]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0] [5,6,7,4,2,3,1]=>{{1,5},{2,6},{3,7},{4}}=>[5,6,7,4,1,2,3]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0] [5,6,7,4,3,1,2]=>{{1,5},{2,6},{3,7},{4}}=>[5,6,7,4,1,2,3]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0] [5,6,7,4,3,2,1]=>{{1,5},{2,6},{3,7},{4}}=>[5,6,7,4,1,2,3]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0] [5,7,1,2,3,4,6]=>{{1,5},{2,7},{3},{4},{6}}=>[5,7,3,4,1,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0] [5,7,1,2,3,6,4]=>{{1,5},{2,7},{3},{4},{6}}=>[5,7,3,4,1,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0] [5,7,1,2,4,3,6]=>{{1,5},{2,7},{3},{4},{6}}=>[5,7,3,4,1,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0] [5,7,1,2,4,6,3]=>{{1,5},{2,7},{3},{4},{6}}=>[5,7,3,4,1,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0] [5,7,1,2,6,3,4]=>{{1,5,6},{2,7},{3},{4}}=>[5,7,3,4,6,1,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0] [5,7,1,2,6,4,3]=>{{1,5,6},{2,7},{3},{4}}=>[5,7,3,4,6,1,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0] [5,7,1,3,2,4,6]=>{{1,5},{2,7},{3},{4},{6}}=>[5,7,3,4,1,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0] [5,7,1,3,2,6,4]=>{{1,5},{2,7},{3},{4},{6}}=>[5,7,3,4,1,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0] [5,7,1,3,4,2,6]=>{{1,5},{2,7},{3},{4},{6}}=>[5,7,3,4,1,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0] [5,7,1,3,4,6,2]=>{{1,5},{2,7},{3},{4},{6}}=>[5,7,3,4,1,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0] [5,7,1,3,6,2,4]=>{{1,5,6},{2,7},{3},{4}}=>[5,7,3,4,6,1,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0] [5,7,1,3,6,4,2]=>{{1,5,6},{2,7},{3},{4}}=>[5,7,3,4,6,1,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0] [5,7,1,4,2,3,6]=>{{1,5},{2,7},{3},{4},{6}}=>[5,7,3,4,1,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0] [5,7,1,4,2,6,3]=>{{1,5},{2,7},{3},{4},{6}}=>[5,7,3,4,1,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0] [5,7,1,4,3,2,6]=>{{1,5},{2,7},{3},{4},{6}}=>[5,7,3,4,1,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0] [5,7,1,4,3,6,2]=>{{1,5},{2,7},{3},{4},{6}}=>[5,7,3,4,1,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0] [5,7,1,4,6,2,3]=>{{1,5,6},{2,7},{3},{4}}=>[5,7,3,4,6,1,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0] [5,7,1,4,6,3,2]=>{{1,5,6},{2,7},{3},{4}}=>[5,7,3,4,6,1,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0] [5,7,1,6,2,3,4]=>{{1,5},{2,7},{3},{4,6}}=>[5,7,3,6,1,4,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0] [5,7,1,6,2,4,3]=>{{1,5},{2,7},{3},{4,6}}=>[5,7,3,6,1,4,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0] [5,7,1,6,3,2,4]=>{{1,5},{2,7},{3},{4,6}}=>[5,7,3,6,1,4,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0] [5,7,1,6,3,4,2]=>{{1,5},{2,7},{3},{4,6}}=>[5,7,3,6,1,4,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0] [5,7,1,6,4,2,3]=>{{1,5},{2,7},{3},{4,6}}=>[5,7,3,6,1,4,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0] [5,7,1,6,4,3,2]=>{{1,5},{2,7},{3},{4,6}}=>[5,7,3,6,1,4,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0] [5,7,2,1,3,4,6]=>{{1,5},{2,7},{3},{4},{6}}=>[5,7,3,4,1,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0] [5,7,2,1,3,6,4]=>{{1,5},{2,7},{3},{4},{6}}=>[5,7,3,4,1,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0] [5,7,2,1,4,3,6]=>{{1,5},{2,7},{3},{4},{6}}=>[5,7,3,4,1,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0] [5,7,2,1,4,6,3]=>{{1,5},{2,7},{3},{4},{6}}=>[5,7,3,4,1,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0] [5,7,2,1,6,3,4]=>{{1,5,6},{2,7},{3},{4}}=>[5,7,3,4,6,1,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0] [5,7,2,1,6,4,3]=>{{1,5,6},{2,7},{3},{4}}=>[5,7,3,4,6,1,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0] [5,7,2,3,1,4,6]=>{{1,5},{2,7},{3},{4},{6}}=>[5,7,3,4,1,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0] [5,7,2,3,1,6,4]=>{{1,5},{2,7},{3},{4},{6}}=>[5,7,3,4,1,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0] [5,7,2,3,4,1,6]=>{{1,5},{2,7},{3},{4},{6}}=>[5,7,3,4,1,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0] [5,7,2,3,4,6,1]=>{{1,5},{2,7},{3},{4},{6}}=>[5,7,3,4,1,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0] [5,7,2,3,6,1,4]=>{{1,5,6},{2,7},{3},{4}}=>[5,7,3,4,6,1,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0] [5,7,2,3,6,4,1]=>{{1,5,6},{2,7},{3},{4}}=>[5,7,3,4,6,1,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0] [5,7,2,4,1,3,6]=>{{1,5},{2,7},{3},{4},{6}}=>[5,7,3,4,1,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0] [5,7,2,4,1,6,3]=>{{1,5},{2,7},{3},{4},{6}}=>[5,7,3,4,1,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0] [5,7,2,4,3,1,6]=>{{1,5},{2,7},{3},{4},{6}}=>[5,7,3,4,1,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0] [5,7,2,4,3,6,1]=>{{1,5},{2,7},{3},{4},{6}}=>[5,7,3,4,1,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0] [5,7,2,4,6,1,3]=>{{1,5,6},{2,7},{3},{4}}=>[5,7,3,4,6,1,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0] [5,7,2,4,6,3,1]=>{{1,5,6},{2,7},{3},{4}}=>[5,7,3,4,6,1,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0] [5,7,2,6,1,3,4]=>{{1,5},{2,7},{3},{4,6}}=>[5,7,3,6,1,4,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0] [5,7,2,6,1,4,3]=>{{1,5},{2,7},{3},{4,6}}=>[5,7,3,6,1,4,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0] [5,7,2,6,3,1,4]=>{{1,5},{2,7},{3},{4,6}}=>[5,7,3,6,1,4,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0] [5,7,2,6,3,4,1]=>{{1,5},{2,7},{3},{4,6}}=>[5,7,3,6,1,4,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0] [5,7,2,6,4,1,3]=>{{1,5},{2,7},{3},{4,6}}=>[5,7,3,6,1,4,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0] [5,7,2,6,4,3,1]=>{{1,5},{2,7},{3},{4,6}}=>[5,7,3,6,1,4,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0] [5,7,3,1,2,4,6]=>{{1,5},{2,7},{3},{4},{6}}=>[5,7,3,4,1,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0] [5,7,3,1,2,6,4]=>{{1,5},{2,7},{3},{4},{6}}=>[5,7,3,4,1,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0] [5,7,3,1,4,2,6]=>{{1,5},{2,7},{3},{4},{6}}=>[5,7,3,4,1,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0] [5,7,3,1,4,6,2]=>{{1,5},{2,7},{3},{4},{6}}=>[5,7,3,4,1,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0] [5,7,3,1,6,2,4]=>{{1,5,6},{2,7},{3},{4}}=>[5,7,3,4,6,1,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0] [5,7,3,1,6,4,2]=>{{1,5,6},{2,7},{3},{4}}=>[5,7,3,4,6,1,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0] [5,7,3,2,1,4,6]=>{{1,5},{2,7},{3},{4},{6}}=>[5,7,3,4,1,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0] [5,7,3,2,1,6,4]=>{{1,5},{2,7},{3},{4},{6}}=>[5,7,3,4,1,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0] [5,7,3,2,4,1,6]=>{{1,5},{2,7},{3},{4},{6}}=>[5,7,3,4,1,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0] [5,7,3,2,4,6,1]=>{{1,5},{2,7},{3},{4},{6}}=>[5,7,3,4,1,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0] [5,7,3,2,6,1,4]=>{{1,5,6},{2,7},{3},{4}}=>[5,7,3,4,6,1,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0] [5,7,3,2,6,4,1]=>{{1,5,6},{2,7},{3},{4}}=>[5,7,3,4,6,1,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0] [5,7,3,4,1,2,6]=>{{1,5},{2,7},{3},{4},{6}}=>[5,7,3,4,1,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0] [5,7,3,4,1,6,2]=>{{1,5},{2,7},{3},{4},{6}}=>[5,7,3,4,1,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0] [5,7,3,4,2,1,6]=>{{1,5},{2,7},{3},{4},{6}}=>[5,7,3,4,1,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0] [5,7,3,4,2,6,1]=>{{1,5},{2,7},{3},{4},{6}}=>[5,7,3,4,1,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0] [5,7,3,4,6,1,2]=>{{1,5,6},{2,7},{3},{4}}=>[5,7,3,4,6,1,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0] [5,7,3,4,6,2,1]=>{{1,5,6},{2,7},{3},{4}}=>[5,7,3,4,6,1,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0] [5,7,3,6,1,2,4]=>{{1,5},{2,7},{3},{4,6}}=>[5,7,3,6,1,4,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0] [5,7,3,6,1,4,2]=>{{1,5},{2,7},{3},{4,6}}=>[5,7,3,6,1,4,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0] [5,7,3,6,2,1,4]=>{{1,5},{2,7},{3},{4,6}}=>[5,7,3,6,1,4,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0] [5,7,3,6,2,4,1]=>{{1,5},{2,7},{3},{4,6}}=>[5,7,3,6,1,4,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0] [5,7,3,6,4,1,2]=>{{1,5},{2,7},{3},{4,6}}=>[5,7,3,6,1,4,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0] [5,7,3,6,4,2,1]=>{{1,5},{2,7},{3},{4,6}}=>[5,7,3,6,1,4,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0] [5,7,4,1,2,3,6]=>{{1,5},{2,7},{3,4},{6}}=>[5,7,4,3,1,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0] [5,7,4,1,2,6,3]=>{{1,5},{2,7},{3,4},{6}}=>[5,7,4,3,1,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0] [5,7,4,1,3,2,6]=>{{1,5},{2,7},{3,4},{6}}=>[5,7,4,3,1,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0] [5,7,4,1,3,6,2]=>{{1,5},{2,7},{3,4},{6}}=>[5,7,4,3,1,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0] [5,7,4,1,6,2,3]=>{{1,5,6},{2,7},{3,4}}=>[5,7,4,3,6,1,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0] [5,7,4,1,6,3,2]=>{{1,5,6},{2,7},{3,4}}=>[5,7,4,3,6,1,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0] [5,7,4,2,1,3,6]=>{{1,5},{2,7},{3,4},{6}}=>[5,7,4,3,1,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0] [5,7,4,2,1,6,3]=>{{1,5},{2,7},{3,4},{6}}=>[5,7,4,3,1,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0] [5,7,4,2,3,1,6]=>{{1,5},{2,7},{3,4},{6}}=>[5,7,4,3,1,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0] [5,7,4,2,3,6,1]=>{{1,5},{2,7},{3,4},{6}}=>[5,7,4,3,1,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0] [5,7,4,2,6,1,3]=>{{1,5,6},{2,7},{3,4}}=>[5,7,4,3,6,1,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0] [5,7,4,2,6,3,1]=>{{1,5,6},{2,7},{3,4}}=>[5,7,4,3,6,1,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0] [5,7,4,3,1,2,6]=>{{1,5},{2,7},{3,4},{6}}=>[5,7,4,3,1,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0] [5,7,4,3,1,6,2]=>{{1,5},{2,7},{3,4},{6}}=>[5,7,4,3,1,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0] [5,7,4,3,2,1,6]=>{{1,5},{2,7},{3,4},{6}}=>[5,7,4,3,1,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0] [5,7,4,3,2,6,1]=>{{1,5},{2,7},{3,4},{6}}=>[5,7,4,3,1,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0] [5,7,4,3,6,1,2]=>{{1,5,6},{2,7},{3,4}}=>[5,7,4,3,6,1,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0] [5,7,4,3,6,2,1]=>{{1,5,6},{2,7},{3,4}}=>[5,7,4,3,6,1,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0] [5,7,4,6,1,2,3]=>{{1,5},{2,7},{3,4,6}}=>[5,7,4,6,1,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0] [5,7,4,6,1,3,2]=>{{1,5},{2,7},{3,4,6}}=>[5,7,4,6,1,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0] [5,7,4,6,2,1,3]=>{{1,5},{2,7},{3,4,6}}=>[5,7,4,6,1,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0] [5,7,4,6,2,3,1]=>{{1,5},{2,7},{3,4,6}}=>[5,7,4,6,1,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0] [5,7,4,6,3,1,2]=>{{1,5},{2,7},{3,4,6}}=>[5,7,4,6,1,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0] [5,7,4,6,3,2,1]=>{{1,5},{2,7},{3,4,6}}=>[5,7,4,6,1,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0] [5,7,6,1,2,3,4]=>{{1,5},{2,7},{3,6},{4}}=>[5,7,6,4,1,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0] [5,7,6,1,2,4,3]=>{{1,5},{2,7},{3,6},{4}}=>[5,7,6,4,1,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0] [5,7,6,1,3,2,4]=>{{1,5},{2,7},{3,6},{4}}=>[5,7,6,4,1,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0] [5,7,6,1,3,4,2]=>{{1,5},{2,7},{3,6},{4}}=>[5,7,6,4,1,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0] [5,7,6,1,4,2,3]=>{{1,5},{2,7},{3,6},{4}}=>[5,7,6,4,1,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0] [5,7,6,1,4,3,2]=>{{1,5},{2,7},{3,6},{4}}=>[5,7,6,4,1,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0] [5,7,6,2,1,3,4]=>{{1,5},{2,7},{3,6},{4}}=>[5,7,6,4,1,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0] [5,7,6,2,1,4,3]=>{{1,5},{2,7},{3,6},{4}}=>[5,7,6,4,1,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0] [5,7,6,2,3,1,4]=>{{1,5},{2,7},{3,6},{4}}=>[5,7,6,4,1,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0] [5,7,6,2,3,4,1]=>{{1,5},{2,7},{3,6},{4}}=>[5,7,6,4,1,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0] [5,7,6,2,4,1,3]=>{{1,5},{2,7},{3,6},{4}}=>[5,7,6,4,1,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0] [5,7,6,2,4,3,1]=>{{1,5},{2,7},{3,6},{4}}=>[5,7,6,4,1,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0] [5,7,6,3,1,2,4]=>{{1,5},{2,7},{3,6},{4}}=>[5,7,6,4,1,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0] [5,7,6,3,1,4,2]=>{{1,5},{2,7},{3,6},{4}}=>[5,7,6,4,1,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0] [5,7,6,3,2,1,4]=>{{1,5},{2,7},{3,6},{4}}=>[5,7,6,4,1,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0] [5,7,6,3,2,4,1]=>{{1,5},{2,7},{3,6},{4}}=>[5,7,6,4,1,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0] [5,7,6,3,4,1,2]=>{{1,5},{2,7},{3,6},{4}}=>[5,7,6,4,1,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0] [5,7,6,3,4,2,1]=>{{1,5},{2,7},{3,6},{4}}=>[5,7,6,4,1,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0] [5,7,6,4,1,2,3]=>{{1,5},{2,7},{3,6},{4}}=>[5,7,6,4,1,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0] [5,7,6,4,1,3,2]=>{{1,5},{2,7},{3,6},{4}}=>[5,7,6,4,1,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0] [5,7,6,4,2,1,3]=>{{1,5},{2,7},{3,6},{4}}=>[5,7,6,4,1,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0] [5,7,6,4,2,3,1]=>{{1,5},{2,7},{3,6},{4}}=>[5,7,6,4,1,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0] [5,7,6,4,3,1,2]=>{{1,5},{2,7},{3,6},{4}}=>[5,7,6,4,1,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0] [5,7,6,4,3,2,1]=>{{1,5},{2,7},{3,6},{4}}=>[5,7,6,4,1,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0] [6,1,2,3,4,5,7]=>{{1,6},{2},{3},{4},{5},{7}}=>[6,2,3,4,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [6,1,2,3,4,7,5]=>{{1,6,7},{2},{3},{4},{5}}=>[6,2,3,4,5,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0] [6,1,2,3,5,4,7]=>{{1,6},{2},{3},{4},{5},{7}}=>[6,2,3,4,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [6,1,2,3,5,7,4]=>{{1,6,7},{2},{3},{4},{5}}=>[6,2,3,4,5,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0] [6,1,2,3,7,4,5]=>{{1,6},{2},{3},{4},{5,7}}=>[6,2,3,4,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0] [6,1,2,3,7,5,4]=>{{1,6},{2},{3},{4},{5,7}}=>[6,2,3,4,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0] [6,1,2,4,3,5,7]=>{{1,6},{2},{3},{4},{5},{7}}=>[6,2,3,4,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [6,1,2,4,3,7,5]=>{{1,6,7},{2},{3},{4},{5}}=>[6,2,3,4,5,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0] [6,1,2,4,5,3,7]=>{{1,6},{2},{3},{4},{5},{7}}=>[6,2,3,4,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [6,1,2,4,5,7,3]=>{{1,6,7},{2},{3},{4},{5}}=>[6,2,3,4,5,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0] [6,1,2,4,7,3,5]=>{{1,6},{2},{3},{4},{5,7}}=>[6,2,3,4,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0] [6,1,2,4,7,5,3]=>{{1,6},{2},{3},{4},{5,7}}=>[6,2,3,4,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0] [6,1,2,5,3,4,7]=>{{1,6},{2},{3},{4,5},{7}}=>[6,2,3,5,4,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [6,1,2,5,3,7,4]=>{{1,6,7},{2},{3},{4,5}}=>[6,2,3,5,4,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0] [6,1,2,5,4,3,7]=>{{1,6},{2},{3},{4,5},{7}}=>[6,2,3,5,4,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [6,1,2,5,4,7,3]=>{{1,6,7},{2},{3},{4,5}}=>[6,2,3,5,4,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0] [6,1,2,5,7,3,4]=>{{1,6},{2},{3},{4,5,7}}=>[6,2,3,5,7,1,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0] [6,1,2,5,7,4,3]=>{{1,6},{2},{3},{4,5,7}}=>[6,2,3,5,7,1,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0] [6,1,2,7,3,4,5]=>{{1,6},{2},{3},{4,7},{5}}=>[6,2,3,7,5,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0] [6,1,2,7,3,5,4]=>{{1,6},{2},{3},{4,7},{5}}=>[6,2,3,7,5,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0] [6,1,2,7,4,3,5]=>{{1,6},{2},{3},{4,7},{5}}=>[6,2,3,7,5,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0] [6,1,2,7,4,5,3]=>{{1,6},{2},{3},{4,7},{5}}=>[6,2,3,7,5,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0] [6,1,2,7,5,3,4]=>{{1,6},{2},{3},{4,7},{5}}=>[6,2,3,7,5,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0] [6,1,2,7,5,4,3]=>{{1,6},{2},{3},{4,7},{5}}=>[6,2,3,7,5,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0] [6,1,3,2,4,5,7]=>{{1,6},{2},{3},{4},{5},{7}}=>[6,2,3,4,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [6,1,3,2,4,7,5]=>{{1,6,7},{2},{3},{4},{5}}=>[6,2,3,4,5,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0] [6,1,3,2,5,4,7]=>{{1,6},{2},{3},{4},{5},{7}}=>[6,2,3,4,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [6,1,3,2,5,7,4]=>{{1,6,7},{2},{3},{4},{5}}=>[6,2,3,4,5,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0] [6,1,3,2,7,4,5]=>{{1,6},{2},{3},{4},{5,7}}=>[6,2,3,4,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0] [6,1,3,2,7,5,4]=>{{1,6},{2},{3},{4},{5,7}}=>[6,2,3,4,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0] [6,1,3,4,2,5,7]=>{{1,6},{2},{3},{4},{5},{7}}=>[6,2,3,4,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [6,1,3,4,2,7,5]=>{{1,6,7},{2},{3},{4},{5}}=>[6,2,3,4,5,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0] [6,1,3,4,5,2,7]=>{{1,6},{2},{3},{4},{5},{7}}=>[6,2,3,4,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [6,1,3,4,5,7,2]=>{{1,6,7},{2},{3},{4},{5}}=>[6,2,3,4,5,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0] [6,1,3,4,7,2,5]=>{{1,6},{2},{3},{4},{5,7}}=>[6,2,3,4,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0] [6,1,3,4,7,5,2]=>{{1,6},{2},{3},{4},{5,7}}=>[6,2,3,4,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0] [6,1,3,5,2,4,7]=>{{1,6},{2},{3},{4,5},{7}}=>[6,2,3,5,4,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [6,1,3,5,2,7,4]=>{{1,6,7},{2},{3},{4,5}}=>[6,2,3,5,4,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0] [6,1,3,5,4,2,7]=>{{1,6},{2},{3},{4,5},{7}}=>[6,2,3,5,4,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [6,1,3,5,4,7,2]=>{{1,6,7},{2},{3},{4,5}}=>[6,2,3,5,4,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0] [6,1,3,5,7,2,4]=>{{1,6},{2},{3},{4,5,7}}=>[6,2,3,5,7,1,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0] [6,1,3,5,7,4,2]=>{{1,6},{2},{3},{4,5,7}}=>[6,2,3,5,7,1,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0] [6,1,3,7,2,4,5]=>{{1,6},{2},{3},{4,7},{5}}=>[6,2,3,7,5,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0] [6,1,3,7,2,5,4]=>{{1,6},{2},{3},{4,7},{5}}=>[6,2,3,7,5,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0] [6,1,3,7,4,2,5]=>{{1,6},{2},{3},{4,7},{5}}=>[6,2,3,7,5,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0] [6,1,3,7,4,5,2]=>{{1,6},{2},{3},{4,7},{5}}=>[6,2,3,7,5,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0] [6,1,3,7,5,2,4]=>{{1,6},{2},{3},{4,7},{5}}=>[6,2,3,7,5,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0] [6,1,3,7,5,4,2]=>{{1,6},{2},{3},{4,7},{5}}=>[6,2,3,7,5,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0] [6,1,4,2,3,5,7]=>{{1,6},{2},{3,4},{5},{7}}=>[6,2,4,3,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [6,1,4,2,3,7,5]=>{{1,6,7},{2},{3,4},{5}}=>[6,2,4,3,5,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0] [6,1,4,2,5,3,7]=>{{1,6},{2},{3,4},{5},{7}}=>[6,2,4,3,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [6,1,4,2,5,7,3]=>{{1,6,7},{2},{3,4},{5}}=>[6,2,4,3,5,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0] [6,1,4,2,7,3,5]=>{{1,6},{2},{3,4},{5,7}}=>[6,2,4,3,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0] [6,1,4,2,7,5,3]=>{{1,6},{2},{3,4},{5,7}}=>[6,2,4,3,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0] [6,1,4,3,2,5,7]=>{{1,6},{2},{3,4},{5},{7}}=>[6,2,4,3,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [6,1,4,3,2,7,5]=>{{1,6,7},{2},{3,4},{5}}=>[6,2,4,3,5,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0] [6,1,4,3,5,2,7]=>{{1,6},{2},{3,4},{5},{7}}=>[6,2,4,3,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [6,1,4,3,5,7,2]=>{{1,6,7},{2},{3,4},{5}}=>[6,2,4,3,5,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0] [6,1,4,3,7,2,5]=>{{1,6},{2},{3,4},{5,7}}=>[6,2,4,3,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0] [6,1,4,3,7,5,2]=>{{1,6},{2},{3,4},{5,7}}=>[6,2,4,3,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0] [6,1,4,5,2,3,7]=>{{1,6},{2},{3,4,5},{7}}=>[6,2,4,5,3,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [6,1,4,5,2,7,3]=>{{1,6,7},{2},{3,4,5}}=>[6,2,4,5,3,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0] [6,1,4,5,3,2,7]=>{{1,6},{2},{3,4,5},{7}}=>[6,2,4,5,3,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [6,1,4,5,3,7,2]=>{{1,6,7},{2},{3,4,5}}=>[6,2,4,5,3,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0] [6,1,4,5,7,2,3]=>{{1,6},{2},{3,4,5,7}}=>[6,2,4,5,7,1,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0] [6,1,4,5,7,3,2]=>{{1,6},{2},{3,4,5,7}}=>[6,2,4,5,7,1,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0] [6,1,4,7,2,3,5]=>{{1,6},{2},{3,4,7},{5}}=>[6,2,4,7,5,1,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0] [6,1,4,7,2,5,3]=>{{1,6},{2},{3,4,7},{5}}=>[6,2,4,7,5,1,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0] [6,1,4,7,3,2,5]=>{{1,6},{2},{3,4,7},{5}}=>[6,2,4,7,5,1,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0] [6,1,4,7,3,5,2]=>{{1,6},{2},{3,4,7},{5}}=>[6,2,4,7,5,1,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0] [6,1,4,7,5,2,3]=>{{1,6},{2},{3,4,7},{5}}=>[6,2,4,7,5,1,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0] [6,1,4,7,5,3,2]=>{{1,6},{2},{3,4,7},{5}}=>[6,2,4,7,5,1,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0] [6,1,5,2,3,4,7]=>{{1,6},{2},{3,5},{4},{7}}=>[6,2,5,4,3,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [6,1,5,2,3,7,4]=>{{1,6,7},{2},{3,5},{4}}=>[6,2,5,4,3,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0] [6,1,5,2,4,3,7]=>{{1,6},{2},{3,5},{4},{7}}=>[6,2,5,4,3,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [6,1,5,2,4,7,3]=>{{1,6,7},{2},{3,5},{4}}=>[6,2,5,4,3,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0] [6,1,5,2,7,3,4]=>{{1,6},{2},{3,5,7},{4}}=>[6,2,5,4,7,1,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0] [6,1,5,2,7,4,3]=>{{1,6},{2},{3,5,7},{4}}=>[6,2,5,4,7,1,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0] [6,1,5,3,2,4,7]=>{{1,6},{2},{3,5},{4},{7}}=>[6,2,5,4,3,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [6,1,5,3,2,7,4]=>{{1,6,7},{2},{3,5},{4}}=>[6,2,5,4,3,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0] [6,1,5,3,4,2,7]=>{{1,6},{2},{3,5},{4},{7}}=>[6,2,5,4,3,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [6,1,5,3,4,7,2]=>{{1,6,7},{2},{3,5},{4}}=>[6,2,5,4,3,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0] [6,1,5,3,7,2,4]=>{{1,6},{2},{3,5,7},{4}}=>[6,2,5,4,7,1,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0] [6,1,5,3,7,4,2]=>{{1,6},{2},{3,5,7},{4}}=>[6,2,5,4,7,1,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0] [6,1,5,4,2,3,7]=>{{1,6},{2},{3,5},{4},{7}}=>[6,2,5,4,3,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [6,1,5,4,2,7,3]=>{{1,6,7},{2},{3,5},{4}}=>[6,2,5,4,3,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0] [6,1,5,4,3,2,7]=>{{1,6},{2},{3,5},{4},{7}}=>[6,2,5,4,3,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [6,1,5,4,3,7,2]=>{{1,6,7},{2},{3,5},{4}}=>[6,2,5,4,3,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0] [6,1,5,4,7,2,3]=>{{1,6},{2},{3,5,7},{4}}=>[6,2,5,4,7,1,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0] [6,1,5,4,7,3,2]=>{{1,6},{2},{3,5,7},{4}}=>[6,2,5,4,7,1,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0] [6,1,5,7,2,3,4]=>{{1,6},{2},{3,5},{4,7}}=>[6,2,5,7,3,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0] [6,1,5,7,2,4,3]=>{{1,6},{2},{3,5},{4,7}}=>[6,2,5,7,3,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0] [6,1,5,7,3,2,4]=>{{1,6},{2},{3,5},{4,7}}=>[6,2,5,7,3,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0] [6,1,5,7,3,4,2]=>{{1,6},{2},{3,5},{4,7}}=>[6,2,5,7,3,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0] [6,1,5,7,4,2,3]=>{{1,6},{2},{3,5},{4,7}}=>[6,2,5,7,3,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0] [6,1,5,7,4,3,2]=>{{1,6},{2},{3,5},{4,7}}=>[6,2,5,7,3,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0] [6,1,7,2,3,4,5]=>{{1,6},{2},{3,7},{4},{5}}=>[6,2,7,4,5,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0] [6,1,7,2,3,5,4]=>{{1,6},{2},{3,7},{4},{5}}=>[6,2,7,4,5,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0] [6,1,7,2,4,3,5]=>{{1,6},{2},{3,7},{4},{5}}=>[6,2,7,4,5,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0] [6,1,7,2,4,5,3]=>{{1,6},{2},{3,7},{4},{5}}=>[6,2,7,4,5,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0] [6,1,7,2,5,3,4]=>{{1,6},{2},{3,7},{4},{5}}=>[6,2,7,4,5,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0] [6,1,7,2,5,4,3]=>{{1,6},{2},{3,7},{4},{5}}=>[6,2,7,4,5,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0] [6,1,7,3,2,4,5]=>{{1,6},{2},{3,7},{4},{5}}=>[6,2,7,4,5,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0] [6,1,7,3,2,5,4]=>{{1,6},{2},{3,7},{4},{5}}=>[6,2,7,4,5,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0] [6,1,7,3,4,2,5]=>{{1,6},{2},{3,7},{4},{5}}=>[6,2,7,4,5,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0] [6,1,7,3,4,5,2]=>{{1,6},{2},{3,7},{4},{5}}=>[6,2,7,4,5,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0] [6,1,7,3,5,2,4]=>{{1,6},{2},{3,7},{4},{5}}=>[6,2,7,4,5,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0] [6,1,7,3,5,4,2]=>{{1,6},{2},{3,7},{4},{5}}=>[6,2,7,4,5,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0] [6,1,7,4,2,3,5]=>{{1,6},{2},{3,7},{4},{5}}=>[6,2,7,4,5,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0] [6,1,7,4,2,5,3]=>{{1,6},{2},{3,7},{4},{5}}=>[6,2,7,4,5,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0] [6,1,7,4,3,2,5]=>{{1,6},{2},{3,7},{4},{5}}=>[6,2,7,4,5,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0] [6,1,7,4,3,5,2]=>{{1,6},{2},{3,7},{4},{5}}=>[6,2,7,4,5,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0] [6,1,7,4,5,2,3]=>{{1,6},{2},{3,7},{4},{5}}=>[6,2,7,4,5,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0] [6,1,7,4,5,3,2]=>{{1,6},{2},{3,7},{4},{5}}=>[6,2,7,4,5,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0] [6,1,7,5,2,3,4]=>{{1,6},{2},{3,7},{4,5}}=>[6,2,7,5,4,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0] [6,1,7,5,2,4,3]=>{{1,6},{2},{3,7},{4,5}}=>[6,2,7,5,4,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0] [6,1,7,5,3,2,4]=>{{1,6},{2},{3,7},{4,5}}=>[6,2,7,5,4,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0] [6,1,7,5,3,4,2]=>{{1,6},{2},{3,7},{4,5}}=>[6,2,7,5,4,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0] [6,1,7,5,4,2,3]=>{{1,6},{2},{3,7},{4,5}}=>[6,2,7,5,4,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0] [6,1,7,5,4,3,2]=>{{1,6},{2},{3,7},{4,5}}=>[6,2,7,5,4,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0] [6,2,1,3,4,5,7]=>{{1,6},{2},{3},{4},{5},{7}}=>[6,2,3,4,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [6,2,1,3,4,7,5]=>{{1,6,7},{2},{3},{4},{5}}=>[6,2,3,4,5,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0] [6,2,1,3,5,4,7]=>{{1,6},{2},{3},{4},{5},{7}}=>[6,2,3,4,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [6,2,1,3,5,7,4]=>{{1,6,7},{2},{3},{4},{5}}=>[6,2,3,4,5,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0] [6,2,1,3,7,4,5]=>{{1,6},{2},{3},{4},{5,7}}=>[6,2,3,4,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0] [6,2,1,3,7,5,4]=>{{1,6},{2},{3},{4},{5,7}}=>[6,2,3,4,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0] [6,2,1,4,3,5,7]=>{{1,6},{2},{3},{4},{5},{7}}=>[6,2,3,4,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [6,2,1,4,3,7,5]=>{{1,6,7},{2},{3},{4},{5}}=>[6,2,3,4,5,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0] [6,2,1,4,5,3,7]=>{{1,6},{2},{3},{4},{5},{7}}=>[6,2,3,4,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [6,2,1,4,5,7,3]=>{{1,6,7},{2},{3},{4},{5}}=>[6,2,3,4,5,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0] [6,2,1,4,7,3,5]=>{{1,6},{2},{3},{4},{5,7}}=>[6,2,3,4,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0] [6,2,1,4,7,5,3]=>{{1,6},{2},{3},{4},{5,7}}=>[6,2,3,4,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0] [6,2,1,5,3,4,7]=>{{1,6},{2},{3},{4,5},{7}}=>[6,2,3,5,4,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [6,2,1,5,3,7,4]=>{{1,6,7},{2},{3},{4,5}}=>[6,2,3,5,4,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0] [6,2,1,5,4,3,7]=>{{1,6},{2},{3},{4,5},{7}}=>[6,2,3,5,4,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [6,2,1,5,4,7,3]=>{{1,6,7},{2},{3},{4,5}}=>[6,2,3,5,4,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0] [6,2,1,5,7,3,4]=>{{1,6},{2},{3},{4,5,7}}=>[6,2,3,5,7,1,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0] [6,2,1,5,7,4,3]=>{{1,6},{2},{3},{4,5,7}}=>[6,2,3,5,7,1,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0] [6,2,1,7,3,4,5]=>{{1,6},{2},{3},{4,7},{5}}=>[6,2,3,7,5,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0] [6,2,1,7,3,5,4]=>{{1,6},{2},{3},{4,7},{5}}=>[6,2,3,7,5,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0] [6,2,1,7,4,3,5]=>{{1,6},{2},{3},{4,7},{5}}=>[6,2,3,7,5,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0] [6,2,1,7,4,5,3]=>{{1,6},{2},{3},{4,7},{5}}=>[6,2,3,7,5,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0] [6,2,1,7,5,3,4]=>{{1,6},{2},{3},{4,7},{5}}=>[6,2,3,7,5,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0] [6,2,1,7,5,4,3]=>{{1,6},{2},{3},{4,7},{5}}=>[6,2,3,7,5,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0] [6,2,3,1,4,5,7]=>{{1,6},{2},{3},{4},{5},{7}}=>[6,2,3,4,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [6,2,3,1,4,7,5]=>{{1,6,7},{2},{3},{4},{5}}=>[6,2,3,4,5,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0] [6,2,3,1,5,4,7]=>{{1,6},{2},{3},{4},{5},{7}}=>[6,2,3,4,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [6,2,3,1,5,7,4]=>{{1,6,7},{2},{3},{4},{5}}=>[6,2,3,4,5,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0] [6,2,3,1,7,4,5]=>{{1,6},{2},{3},{4},{5,7}}=>[6,2,3,4,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0] [6,2,3,1,7,5,4]=>{{1,6},{2},{3},{4},{5,7}}=>[6,2,3,4,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0] [6,2,3,4,1,5,7]=>{{1,6},{2},{3},{4},{5},{7}}=>[6,2,3,4,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [6,2,3,4,1,7,5]=>{{1,6,7},{2},{3},{4},{5}}=>[6,2,3,4,5,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0] [6,2,3,4,5,1,7]=>{{1,6},{2},{3},{4},{5},{7}}=>[6,2,3,4,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [6,2,3,4,5,7,1]=>{{1,6,7},{2},{3},{4},{5}}=>[6,2,3,4,5,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0] [6,2,3,4,7,1,5]=>{{1,6},{2},{3},{4},{5,7}}=>[6,2,3,4,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0] [6,2,3,4,7,5,1]=>{{1,6},{2},{3},{4},{5,7}}=>[6,2,3,4,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0] [6,2,3,5,1,4,7]=>{{1,6},{2},{3},{4,5},{7}}=>[6,2,3,5,4,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [6,2,3,5,1,7,4]=>{{1,6,7},{2},{3},{4,5}}=>[6,2,3,5,4,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0] [6,2,3,5,4,1,7]=>{{1,6},{2},{3},{4,5},{7}}=>[6,2,3,5,4,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [6,2,3,5,4,7,1]=>{{1,6,7},{2},{3},{4,5}}=>[6,2,3,5,4,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0] [6,2,3,5,7,1,4]=>{{1,6},{2},{3},{4,5,7}}=>[6,2,3,5,7,1,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0] [6,2,3,5,7,4,1]=>{{1,6},{2},{3},{4,5,7}}=>[6,2,3,5,7,1,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0] [6,2,3,7,1,4,5]=>{{1,6},{2},{3},{4,7},{5}}=>[6,2,3,7,5,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0] [6,2,3,7,1,5,4]=>{{1,6},{2},{3},{4,7},{5}}=>[6,2,3,7,5,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0] [6,2,3,7,4,1,5]=>{{1,6},{2},{3},{4,7},{5}}=>[6,2,3,7,5,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0] [6,2,3,7,4,5,1]=>{{1,6},{2},{3},{4,7},{5}}=>[6,2,3,7,5,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0] [6,2,3,7,5,1,4]=>{{1,6},{2},{3},{4,7},{5}}=>[6,2,3,7,5,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0] [6,2,3,7,5,4,1]=>{{1,6},{2},{3},{4,7},{5}}=>[6,2,3,7,5,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0] [6,2,4,1,3,5,7]=>{{1,6},{2},{3,4},{5},{7}}=>[6,2,4,3,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [6,2,4,1,3,7,5]=>{{1,6,7},{2},{3,4},{5}}=>[6,2,4,3,5,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0] [6,2,4,1,5,3,7]=>{{1,6},{2},{3,4},{5},{7}}=>[6,2,4,3,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [6,2,4,1,5,7,3]=>{{1,6,7},{2},{3,4},{5}}=>[6,2,4,3,5,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0] [6,2,4,1,7,3,5]=>{{1,6},{2},{3,4},{5,7}}=>[6,2,4,3,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0] [6,2,4,1,7,5,3]=>{{1,6},{2},{3,4},{5,7}}=>[6,2,4,3,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0] [6,2,4,3,1,5,7]=>{{1,6},{2},{3,4},{5},{7}}=>[6,2,4,3,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [6,2,4,3,1,7,5]=>{{1,6,7},{2},{3,4},{5}}=>[6,2,4,3,5,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0] [6,2,4,3,5,1,7]=>{{1,6},{2},{3,4},{5},{7}}=>[6,2,4,3,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [6,2,4,3,5,7,1]=>{{1,6,7},{2},{3,4},{5}}=>[6,2,4,3,5,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0] [6,2,4,3,7,1,5]=>{{1,6},{2},{3,4},{5,7}}=>[6,2,4,3,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0] [6,2,4,3,7,5,1]=>{{1,6},{2},{3,4},{5,7}}=>[6,2,4,3,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0] [6,2,4,5,1,3,7]=>{{1,6},{2},{3,4,5},{7}}=>[6,2,4,5,3,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [6,2,4,5,1,7,3]=>{{1,6,7},{2},{3,4,5}}=>[6,2,4,5,3,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0] [6,2,4,5,3,1,7]=>{{1,6},{2},{3,4,5},{7}}=>[6,2,4,5,3,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [6,2,4,5,3,7,1]=>{{1,6,7},{2},{3,4,5}}=>[6,2,4,5,3,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0] [6,2,4,5,7,1,3]=>{{1,6},{2},{3,4,5,7}}=>[6,2,4,5,7,1,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0] [6,2,4,5,7,3,1]=>{{1,6},{2},{3,4,5,7}}=>[6,2,4,5,7,1,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0] [6,2,4,7,1,3,5]=>{{1,6},{2},{3,4,7},{5}}=>[6,2,4,7,5,1,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0] [6,2,4,7,1,5,3]=>{{1,6},{2},{3,4,7},{5}}=>[6,2,4,7,5,1,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0] [6,2,4,7,3,1,5]=>{{1,6},{2},{3,4,7},{5}}=>[6,2,4,7,5,1,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0] [6,2,4,7,3,5,1]=>{{1,6},{2},{3,4,7},{5}}=>[6,2,4,7,5,1,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0] [6,2,4,7,5,1,3]=>{{1,6},{2},{3,4,7},{5}}=>[6,2,4,7,5,1,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0] [6,2,4,7,5,3,1]=>{{1,6},{2},{3,4,7},{5}}=>[6,2,4,7,5,1,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0] [6,2,5,1,3,4,7]=>{{1,6},{2},{3,5},{4},{7}}=>[6,2,5,4,3,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [6,2,5,1,3,7,4]=>{{1,6,7},{2},{3,5},{4}}=>[6,2,5,4,3,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0] [6,2,5,1,4,3,7]=>{{1,6},{2},{3,5},{4},{7}}=>[6,2,5,4,3,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [6,2,5,1,4,7,3]=>{{1,6,7},{2},{3,5},{4}}=>[6,2,5,4,3,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0] [6,2,5,1,7,3,4]=>{{1,6},{2},{3,5,7},{4}}=>[6,2,5,4,7,1,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0] [6,2,5,1,7,4,3]=>{{1,6},{2},{3,5,7},{4}}=>[6,2,5,4,7,1,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0] [6,2,5,3,1,4,7]=>{{1,6},{2},{3,5},{4},{7}}=>[6,2,5,4,3,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [6,2,5,3,1,7,4]=>{{1,6,7},{2},{3,5},{4}}=>[6,2,5,4,3,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0] [6,2,5,3,4,1,7]=>{{1,6},{2},{3,5},{4},{7}}=>[6,2,5,4,3,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [6,2,5,3,4,7,1]=>{{1,6,7},{2},{3,5},{4}}=>[6,2,5,4,3,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0] [6,2,5,3,7,1,4]=>{{1,6},{2},{3,5,7},{4}}=>[6,2,5,4,7,1,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0] [6,2,5,3,7,4,1]=>{{1,6},{2},{3,5,7},{4}}=>[6,2,5,4,7,1,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0] [6,2,5,4,1,3,7]=>{{1,6},{2},{3,5},{4},{7}}=>[6,2,5,4,3,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [6,2,5,4,1,7,3]=>{{1,6,7},{2},{3,5},{4}}=>[6,2,5,4,3,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0] [6,2,5,4,3,1,7]=>{{1,6},{2},{3,5},{4},{7}}=>[6,2,5,4,3,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [6,2,5,4,3,7,1]=>{{1,6,7},{2},{3,5},{4}}=>[6,2,5,4,3,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0] [6,2,5,4,7,1,3]=>{{1,6},{2},{3,5,7},{4}}=>[6,2,5,4,7,1,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0] [6,2,5,4,7,3,1]=>{{1,6},{2},{3,5,7},{4}}=>[6,2,5,4,7,1,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0] [6,2,5,7,1,3,4]=>{{1,6},{2},{3,5},{4,7}}=>[6,2,5,7,3,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0] [6,2,5,7,1,4,3]=>{{1,6},{2},{3,5},{4,7}}=>[6,2,5,7,3,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0] [6,2,5,7,3,1,4]=>{{1,6},{2},{3,5},{4,7}}=>[6,2,5,7,3,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0] [6,2,5,7,3,4,1]=>{{1,6},{2},{3,5},{4,7}}=>[6,2,5,7,3,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0] [6,2,5,7,4,1,3]=>{{1,6},{2},{3,5},{4,7}}=>[6,2,5,7,3,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0] [6,2,5,7,4,3,1]=>{{1,6},{2},{3,5},{4,7}}=>[6,2,5,7,3,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0] [6,2,7,1,3,4,5]=>{{1,6},{2},{3,7},{4},{5}}=>[6,2,7,4,5,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0] [6,2,7,1,3,5,4]=>{{1,6},{2},{3,7},{4},{5}}=>[6,2,7,4,5,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0] [6,2,7,1,4,3,5]=>{{1,6},{2},{3,7},{4},{5}}=>[6,2,7,4,5,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0] [6,2,7,1,4,5,3]=>{{1,6},{2},{3,7},{4},{5}}=>[6,2,7,4,5,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0] [6,2,7,1,5,3,4]=>{{1,6},{2},{3,7},{4},{5}}=>[6,2,7,4,5,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0] [6,2,7,1,5,4,3]=>{{1,6},{2},{3,7},{4},{5}}=>[6,2,7,4,5,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0] [6,2,7,3,1,4,5]=>{{1,6},{2},{3,7},{4},{5}}=>[6,2,7,4,5,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0] [6,2,7,3,1,5,4]=>{{1,6},{2},{3,7},{4},{5}}=>[6,2,7,4,5,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0] [6,2,7,3,4,1,5]=>{{1,6},{2},{3,7},{4},{5}}=>[6,2,7,4,5,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0] [6,2,7,3,4,5,1]=>{{1,6},{2},{3,7},{4},{5}}=>[6,2,7,4,5,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0] [6,2,7,3,5,1,4]=>{{1,6},{2},{3,7},{4},{5}}=>[6,2,7,4,5,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0] [6,2,7,3,5,4,1]=>{{1,6},{2},{3,7},{4},{5}}=>[6,2,7,4,5,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0] [6,2,7,4,1,3,5]=>{{1,6},{2},{3,7},{4},{5}}=>[6,2,7,4,5,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0] [6,2,7,4,1,5,3]=>{{1,6},{2},{3,7},{4},{5}}=>[6,2,7,4,5,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0] [6,2,7,4,3,1,5]=>{{1,6},{2},{3,7},{4},{5}}=>[6,2,7,4,5,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0] [6,2,7,4,3,5,1]=>{{1,6},{2},{3,7},{4},{5}}=>[6,2,7,4,5,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0] [6,2,7,4,5,1,3]=>{{1,6},{2},{3,7},{4},{5}}=>[6,2,7,4,5,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0] [6,2,7,4,5,3,1]=>{{1,6},{2},{3,7},{4},{5}}=>[6,2,7,4,5,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0] [6,2,7,5,1,3,4]=>{{1,6},{2},{3,7},{4,5}}=>[6,2,7,5,4,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0] [6,2,7,5,1,4,3]=>{{1,6},{2},{3,7},{4,5}}=>[6,2,7,5,4,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0] [6,2,7,5,3,1,4]=>{{1,6},{2},{3,7},{4,5}}=>[6,2,7,5,4,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0] [6,2,7,5,3,4,1]=>{{1,6},{2},{3,7},{4,5}}=>[6,2,7,5,4,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0] [6,2,7,5,4,1,3]=>{{1,6},{2},{3,7},{4,5}}=>[6,2,7,5,4,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0] [6,2,7,5,4,3,1]=>{{1,6},{2},{3,7},{4,5}}=>[6,2,7,5,4,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0] [6,3,1,2,4,5,7]=>{{1,6},{2,3},{4},{5},{7}}=>[6,3,2,4,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [6,3,1,2,4,7,5]=>{{1,6,7},{2,3},{4},{5}}=>[6,3,2,4,5,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0] [6,3,1,2,5,4,7]=>{{1,6},{2,3},{4},{5},{7}}=>[6,3,2,4,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [6,3,1,2,5,7,4]=>{{1,6,7},{2,3},{4},{5}}=>[6,3,2,4,5,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0] [6,3,1,2,7,4,5]=>{{1,6},{2,3},{4},{5,7}}=>[6,3,2,4,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0] [6,3,1,2,7,5,4]=>{{1,6},{2,3},{4},{5,7}}=>[6,3,2,4,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0] [6,3,1,4,2,5,7]=>{{1,6},{2,3},{4},{5},{7}}=>[6,3,2,4,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [6,3,1,4,2,7,5]=>{{1,6,7},{2,3},{4},{5}}=>[6,3,2,4,5,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0] [6,3,1,4,5,2,7]=>{{1,6},{2,3},{4},{5},{7}}=>[6,3,2,4,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [6,3,1,4,5,7,2]=>{{1,6,7},{2,3},{4},{5}}=>[6,3,2,4,5,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0] [6,3,1,4,7,2,5]=>{{1,6},{2,3},{4},{5,7}}=>[6,3,2,4,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0] [6,3,1,4,7,5,2]=>{{1,6},{2,3},{4},{5,7}}=>[6,3,2,4,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0] [6,3,1,5,2,4,7]=>{{1,6},{2,3},{4,5},{7}}=>[6,3,2,5,4,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [6,3,1,5,2,7,4]=>{{1,6,7},{2,3},{4,5}}=>[6,3,2,5,4,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0] [6,3,1,5,4,2,7]=>{{1,6},{2,3},{4,5},{7}}=>[6,3,2,5,4,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [6,3,1,5,4,7,2]=>{{1,6,7},{2,3},{4,5}}=>[6,3,2,5,4,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0] [6,3,1,5,7,2,4]=>{{1,6},{2,3},{4,5,7}}=>[6,3,2,5,7,1,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0] [6,3,1,5,7,4,2]=>{{1,6},{2,3},{4,5,7}}=>[6,3,2,5,7,1,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0] [6,3,1,7,2,4,5]=>{{1,6},{2,3},{4,7},{5}}=>[6,3,2,7,5,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0] [6,3,1,7,2,5,4]=>{{1,6},{2,3},{4,7},{5}}=>[6,3,2,7,5,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0] [6,3,1,7,4,2,5]=>{{1,6},{2,3},{4,7},{5}}=>[6,3,2,7,5,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0] [6,3,1,7,4,5,2]=>{{1,6},{2,3},{4,7},{5}}=>[6,3,2,7,5,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0] [6,3,1,7,5,2,4]=>{{1,6},{2,3},{4,7},{5}}=>[6,3,2,7,5,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0] [6,3,1,7,5,4,2]=>{{1,6},{2,3},{4,7},{5}}=>[6,3,2,7,5,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0] [6,3,2,1,4,5,7]=>{{1,6},{2,3},{4},{5},{7}}=>[6,3,2,4,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [6,3,2,1,4,7,5]=>{{1,6,7},{2,3},{4},{5}}=>[6,3,2,4,5,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0] [6,3,2,1,5,4,7]=>{{1,6},{2,3},{4},{5},{7}}=>[6,3,2,4,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [6,3,2,1,5,7,4]=>{{1,6,7},{2,3},{4},{5}}=>[6,3,2,4,5,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0] [6,3,2,1,7,4,5]=>{{1,6},{2,3},{4},{5,7}}=>[6,3,2,4,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0] [6,3,2,1,7,5,4]=>{{1,6},{2,3},{4},{5,7}}=>[6,3,2,4,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0] [6,3,2,4,1,5,7]=>{{1,6},{2,3},{4},{5},{7}}=>[6,3,2,4,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [6,3,2,4,1,7,5]=>{{1,6,7},{2,3},{4},{5}}=>[6,3,2,4,5,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0] [6,3,2,4,5,1,7]=>{{1,6},{2,3},{4},{5},{7}}=>[6,3,2,4,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [6,3,2,4,5,7,1]=>{{1,6,7},{2,3},{4},{5}}=>[6,3,2,4,5,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0] [6,3,2,4,7,1,5]=>{{1,6},{2,3},{4},{5,7}}=>[6,3,2,4,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0] [6,3,2,4,7,5,1]=>{{1,6},{2,3},{4},{5,7}}=>[6,3,2,4,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0] [6,3,2,5,1,4,7]=>{{1,6},{2,3},{4,5},{7}}=>[6,3,2,5,4,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [6,3,2,5,1,7,4]=>{{1,6,7},{2,3},{4,5}}=>[6,3,2,5,4,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0] [6,3,2,5,4,1,7]=>{{1,6},{2,3},{4,5},{7}}=>[6,3,2,5,4,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [6,3,2,5,4,7,1]=>{{1,6,7},{2,3},{4,5}}=>[6,3,2,5,4,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0] [6,3,2,5,7,1,4]=>{{1,6},{2,3},{4,5,7}}=>[6,3,2,5,7,1,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0] [6,3,2,5,7,4,1]=>{{1,6},{2,3},{4,5,7}}=>[6,3,2,5,7,1,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0] [6,3,2,7,1,4,5]=>{{1,6},{2,3},{4,7},{5}}=>[6,3,2,7,5,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0] [6,3,2,7,1,5,4]=>{{1,6},{2,3},{4,7},{5}}=>[6,3,2,7,5,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0] [6,3,2,7,4,1,5]=>{{1,6},{2,3},{4,7},{5}}=>[6,3,2,7,5,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0] [6,3,2,7,4,5,1]=>{{1,6},{2,3},{4,7},{5}}=>[6,3,2,7,5,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0] [6,3,2,7,5,1,4]=>{{1,6},{2,3},{4,7},{5}}=>[6,3,2,7,5,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0] [6,3,2,7,5,4,1]=>{{1,6},{2,3},{4,7},{5}}=>[6,3,2,7,5,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0] [6,3,4,1,2,5,7]=>{{1,6},{2,3,4},{5},{7}}=>[6,3,4,2,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [6,3,4,1,2,7,5]=>{{1,6,7},{2,3,4},{5}}=>[6,3,4,2,5,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0] [6,3,4,1,5,2,7]=>{{1,6},{2,3,4},{5},{7}}=>[6,3,4,2,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [6,3,4,1,5,7,2]=>{{1,6,7},{2,3,4},{5}}=>[6,3,4,2,5,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0] [6,3,4,1,7,2,5]=>{{1,6},{2,3,4},{5,7}}=>[6,3,4,2,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0] [6,3,4,1,7,5,2]=>{{1,6},{2,3,4},{5,7}}=>[6,3,4,2,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0] [6,3,4,2,1,5,7]=>{{1,6},{2,3,4},{5},{7}}=>[6,3,4,2,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [6,3,4,2,1,7,5]=>{{1,6,7},{2,3,4},{5}}=>[6,3,4,2,5,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0] [6,3,4,2,5,1,7]=>{{1,6},{2,3,4},{5},{7}}=>[6,3,4,2,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [6,3,4,2,5,7,1]=>{{1,6,7},{2,3,4},{5}}=>[6,3,4,2,5,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0] [6,3,4,2,7,1,5]=>{{1,6},{2,3,4},{5,7}}=>[6,3,4,2,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0] [6,3,4,2,7,5,1]=>{{1,6},{2,3,4},{5,7}}=>[6,3,4,2,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0] [6,3,4,5,1,2,7]=>{{1,6},{2,3,4,5},{7}}=>[6,3,4,5,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [6,3,4,5,1,7,2]=>{{1,6,7},{2,3,4,5}}=>[6,3,4,5,2,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0] [6,3,4,5,2,1,7]=>{{1,6},{2,3,4,5},{7}}=>[6,3,4,5,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [6,3,4,5,2,7,1]=>{{1,6,7},{2,3,4,5}}=>[6,3,4,5,2,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0] [6,3,4,5,7,1,2]=>{{1,6},{2,3,4,5,7}}=>[6,3,4,5,7,1,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0] [6,3,4,5,7,2,1]=>{{1,6},{2,3,4,5,7}}=>[6,3,4,5,7,1,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0] [6,3,4,7,1,2,5]=>{{1,6},{2,3,4,7},{5}}=>[6,3,4,7,5,1,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0] [6,3,4,7,1,5,2]=>{{1,6},{2,3,4,7},{5}}=>[6,3,4,7,5,1,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0] [6,3,4,7,2,1,5]=>{{1,6},{2,3,4,7},{5}}=>[6,3,4,7,5,1,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0] [6,3,4,7,2,5,1]=>{{1,6},{2,3,4,7},{5}}=>[6,3,4,7,5,1,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0] [6,3,4,7,5,1,2]=>{{1,6},{2,3,4,7},{5}}=>[6,3,4,7,5,1,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0] [6,3,4,7,5,2,1]=>{{1,6},{2,3,4,7},{5}}=>[6,3,4,7,5,1,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0] [6,3,5,1,2,4,7]=>{{1,6},{2,3,5},{4},{7}}=>[6,3,5,4,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [6,3,5,1,2,7,4]=>{{1,6,7},{2,3,5},{4}}=>[6,3,5,4,2,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0] [6,3,5,1,4,2,7]=>{{1,6},{2,3,5},{4},{7}}=>[6,3,5,4,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [6,3,5,1,4,7,2]=>{{1,6,7},{2,3,5},{4}}=>[6,3,5,4,2,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0] [6,3,5,1,7,2,4]=>{{1,6},{2,3,5,7},{4}}=>[6,3,5,4,7,1,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0] [6,3,5,1,7,4,2]=>{{1,6},{2,3,5,7},{4}}=>[6,3,5,4,7,1,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0] [6,3,5,2,1,4,7]=>{{1,6},{2,3,5},{4},{7}}=>[6,3,5,4,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [6,3,5,2,1,7,4]=>{{1,6,7},{2,3,5},{4}}=>[6,3,5,4,2,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0] [6,3,5,2,4,1,7]=>{{1,6},{2,3,5},{4},{7}}=>[6,3,5,4,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [6,3,5,2,4,7,1]=>{{1,6,7},{2,3,5},{4}}=>[6,3,5,4,2,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0] [6,3,5,2,7,1,4]=>{{1,6},{2,3,5,7},{4}}=>[6,3,5,4,7,1,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0] [6,3,5,2,7,4,1]=>{{1,6},{2,3,5,7},{4}}=>[6,3,5,4,7,1,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0] [6,3,5,4,1,2,7]=>{{1,6},{2,3,5},{4},{7}}=>[6,3,5,4,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [6,3,5,4,1,7,2]=>{{1,6,7},{2,3,5},{4}}=>[6,3,5,4,2,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0] [6,3,5,4,2,1,7]=>{{1,6},{2,3,5},{4},{7}}=>[6,3,5,4,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [6,3,5,4,2,7,1]=>{{1,6,7},{2,3,5},{4}}=>[6,3,5,4,2,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0] [6,3,5,4,7,1,2]=>{{1,6},{2,3,5,7},{4}}=>[6,3,5,4,7,1,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0] [6,3,5,4,7,2,1]=>{{1,6},{2,3,5,7},{4}}=>[6,3,5,4,7,1,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0] [6,3,5,7,1,2,4]=>{{1,6},{2,3,5},{4,7}}=>[6,3,5,7,2,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0] [6,3,5,7,1,4,2]=>{{1,6},{2,3,5},{4,7}}=>[6,3,5,7,2,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0] [6,3,5,7,2,1,4]=>{{1,6},{2,3,5},{4,7}}=>[6,3,5,7,2,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0] [6,3,5,7,2,4,1]=>{{1,6},{2,3,5},{4,7}}=>[6,3,5,7,2,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0] [6,3,5,7,4,1,2]=>{{1,6},{2,3,5},{4,7}}=>[6,3,5,7,2,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0] [6,3,5,7,4,2,1]=>{{1,6},{2,3,5},{4,7}}=>[6,3,5,7,2,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0] [6,3,7,1,2,4,5]=>{{1,6},{2,3,7},{4},{5}}=>[6,3,7,4,5,1,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0] [6,3,7,1,2,5,4]=>{{1,6},{2,3,7},{4},{5}}=>[6,3,7,4,5,1,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0] [6,3,7,1,4,2,5]=>{{1,6},{2,3,7},{4},{5}}=>[6,3,7,4,5,1,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0] [6,3,7,1,4,5,2]=>{{1,6},{2,3,7},{4},{5}}=>[6,3,7,4,5,1,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0] [6,3,7,1,5,2,4]=>{{1,6},{2,3,7},{4},{5}}=>[6,3,7,4,5,1,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0] [6,3,7,1,5,4,2]=>{{1,6},{2,3,7},{4},{5}}=>[6,3,7,4,5,1,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0] [6,3,7,2,1,4,5]=>{{1,6},{2,3,7},{4},{5}}=>[6,3,7,4,5,1,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0] [6,3,7,2,1,5,4]=>{{1,6},{2,3,7},{4},{5}}=>[6,3,7,4,5,1,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0] [6,3,7,2,4,1,5]=>{{1,6},{2,3,7},{4},{5}}=>[6,3,7,4,5,1,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0] [6,3,7,2,4,5,1]=>{{1,6},{2,3,7},{4},{5}}=>[6,3,7,4,5,1,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0] [6,3,7,2,5,1,4]=>{{1,6},{2,3,7},{4},{5}}=>[6,3,7,4,5,1,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0] [6,3,7,2,5,4,1]=>{{1,6},{2,3,7},{4},{5}}=>[6,3,7,4,5,1,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0] [6,3,7,4,1,2,5]=>{{1,6},{2,3,7},{4},{5}}=>[6,3,7,4,5,1,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0] [6,3,7,4,1,5,2]=>{{1,6},{2,3,7},{4},{5}}=>[6,3,7,4,5,1,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0] [6,3,7,4,2,1,5]=>{{1,6},{2,3,7},{4},{5}}=>[6,3,7,4,5,1,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0] [6,3,7,4,2,5,1]=>{{1,6},{2,3,7},{4},{5}}=>[6,3,7,4,5,1,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0] [6,3,7,4,5,1,2]=>{{1,6},{2,3,7},{4},{5}}=>[6,3,7,4,5,1,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0] [6,3,7,4,5,2,1]=>{{1,6},{2,3,7},{4},{5}}=>[6,3,7,4,5,1,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0] [6,3,7,5,1,2,4]=>{{1,6},{2,3,7},{4,5}}=>[6,3,7,5,4,1,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0] [6,3,7,5,1,4,2]=>{{1,6},{2,3,7},{4,5}}=>[6,3,7,5,4,1,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0] [6,3,7,5,2,1,4]=>{{1,6},{2,3,7},{4,5}}=>[6,3,7,5,4,1,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0] [6,3,7,5,2,4,1]=>{{1,6},{2,3,7},{4,5}}=>[6,3,7,5,4,1,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0] [6,3,7,5,4,1,2]=>{{1,6},{2,3,7},{4,5}}=>[6,3,7,5,4,1,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0] [6,3,7,5,4,2,1]=>{{1,6},{2,3,7},{4,5}}=>[6,3,7,5,4,1,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0] [6,4,1,2,3,5,7]=>{{1,6},{2,4},{3},{5},{7}}=>[6,4,3,2,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [6,4,1,2,3,7,5]=>{{1,6,7},{2,4},{3},{5}}=>[6,4,3,2,5,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0] [6,4,1,2,5,3,7]=>{{1,6},{2,4},{3},{5},{7}}=>[6,4,3,2,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [6,4,1,2,5,7,3]=>{{1,6,7},{2,4},{3},{5}}=>[6,4,3,2,5,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0] [6,4,1,2,7,3,5]=>{{1,6},{2,4},{3},{5,7}}=>[6,4,3,2,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0] [6,4,1,2,7,5,3]=>{{1,6},{2,4},{3},{5,7}}=>[6,4,3,2,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0] [6,4,1,3,2,5,7]=>{{1,6},{2,4},{3},{5},{7}}=>[6,4,3,2,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [6,4,1,3,2,7,5]=>{{1,6,7},{2,4},{3},{5}}=>[6,4,3,2,5,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0] [6,4,1,3,5,2,7]=>{{1,6},{2,4},{3},{5},{7}}=>[6,4,3,2,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [6,4,1,3,5,7,2]=>{{1,6,7},{2,4},{3},{5}}=>[6,4,3,2,5,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0] [6,4,1,3,7,2,5]=>{{1,6},{2,4},{3},{5,7}}=>[6,4,3,2,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0] [6,4,1,3,7,5,2]=>{{1,6},{2,4},{3},{5,7}}=>[6,4,3,2,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0] [6,4,1,5,2,3,7]=>{{1,6},{2,4,5},{3},{7}}=>[6,4,3,5,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [6,4,1,5,2,7,3]=>{{1,6,7},{2,4,5},{3}}=>[6,4,3,5,2,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0] [6,4,1,5,3,2,7]=>{{1,6},{2,4,5},{3},{7}}=>[6,4,3,5,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [6,4,1,5,3,7,2]=>{{1,6,7},{2,4,5},{3}}=>[6,4,3,5,2,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0] [6,4,1,5,7,2,3]=>{{1,6},{2,4,5,7},{3}}=>[6,4,3,5,7,1,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0] [6,4,1,5,7,3,2]=>{{1,6},{2,4,5,7},{3}}=>[6,4,3,5,7,1,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0] [6,4,1,7,2,3,5]=>{{1,6},{2,4,7},{3},{5}}=>[6,4,3,7,5,1,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0] [6,4,1,7,2,5,3]=>{{1,6},{2,4,7},{3},{5}}=>[6,4,3,7,5,1,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0] [6,4,1,7,3,2,5]=>{{1,6},{2,4,7},{3},{5}}=>[6,4,3,7,5,1,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0] [6,4,1,7,3,5,2]=>{{1,6},{2,4,7},{3},{5}}=>[6,4,3,7,5,1,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0] [6,4,1,7,5,2,3]=>{{1,6},{2,4,7},{3},{5}}=>[6,4,3,7,5,1,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0] [6,4,1,7,5,3,2]=>{{1,6},{2,4,7},{3},{5}}=>[6,4,3,7,5,1,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0] [6,4,2,1,3,5,7]=>{{1,6},{2,4},{3},{5},{7}}=>[6,4,3,2,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [6,4,2,1,3,7,5]=>{{1,6,7},{2,4},{3},{5}}=>[6,4,3,2,5,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0] [6,4,2,1,5,3,7]=>{{1,6},{2,4},{3},{5},{7}}=>[6,4,3,2,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [6,4,2,1,5,7,3]=>{{1,6,7},{2,4},{3},{5}}=>[6,4,3,2,5,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0] [6,4,2,1,7,3,5]=>{{1,6},{2,4},{3},{5,7}}=>[6,4,3,2,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0] [6,4,2,1,7,5,3]=>{{1,6},{2,4},{3},{5,7}}=>[6,4,3,2,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0] [6,4,2,3,1,5,7]=>{{1,6},{2,4},{3},{5},{7}}=>[6,4,3,2,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [6,4,2,3,1,7,5]=>{{1,6,7},{2,4},{3},{5}}=>[6,4,3,2,5,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0] [6,4,2,3,5,1,7]=>{{1,6},{2,4},{3},{5},{7}}=>[6,4,3,2,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [6,4,2,3,5,7,1]=>{{1,6,7},{2,4},{3},{5}}=>[6,4,3,2,5,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0] [6,4,2,3,7,1,5]=>{{1,6},{2,4},{3},{5,7}}=>[6,4,3,2,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0] [6,4,2,3,7,5,1]=>{{1,6},{2,4},{3},{5,7}}=>[6,4,3,2,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0] [6,4,2,5,1,3,7]=>{{1,6},{2,4,5},{3},{7}}=>[6,4,3,5,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [6,4,2,5,1,7,3]=>{{1,6,7},{2,4,5},{3}}=>[6,4,3,5,2,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0] [6,4,2,5,3,1,7]=>{{1,6},{2,4,5},{3},{7}}=>[6,4,3,5,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [6,4,2,5,3,7,1]=>{{1,6,7},{2,4,5},{3}}=>[6,4,3,5,2,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0] [6,4,2,5,7,1,3]=>{{1,6},{2,4,5,7},{3}}=>[6,4,3,5,7,1,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0] [6,4,2,5,7,3,1]=>{{1,6},{2,4,5,7},{3}}=>[6,4,3,5,7,1,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0] [6,4,2,7,1,3,5]=>{{1,6},{2,4,7},{3},{5}}=>[6,4,3,7,5,1,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0] [6,4,2,7,1,5,3]=>{{1,6},{2,4,7},{3},{5}}=>[6,4,3,7,5,1,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0] [6,4,2,7,3,1,5]=>{{1,6},{2,4,7},{3},{5}}=>[6,4,3,7,5,1,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0] [6,4,2,7,3,5,1]=>{{1,6},{2,4,7},{3},{5}}=>[6,4,3,7,5,1,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0] [6,4,2,7,5,1,3]=>{{1,6},{2,4,7},{3},{5}}=>[6,4,3,7,5,1,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0] [6,4,2,7,5,3,1]=>{{1,6},{2,4,7},{3},{5}}=>[6,4,3,7,5,1,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0] [6,4,3,1,2,5,7]=>{{1,6},{2,4},{3},{5},{7}}=>[6,4,3,2,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [6,4,3,1,2,7,5]=>{{1,6,7},{2,4},{3},{5}}=>[6,4,3,2,5,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0] [6,4,3,1,5,2,7]=>{{1,6},{2,4},{3},{5},{7}}=>[6,4,3,2,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [6,4,3,1,5,7,2]=>{{1,6,7},{2,4},{3},{5}}=>[6,4,3,2,5,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0] [6,4,3,1,7,2,5]=>{{1,6},{2,4},{3},{5,7}}=>[6,4,3,2,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0] [6,4,3,1,7,5,2]=>{{1,6},{2,4},{3},{5,7}}=>[6,4,3,2,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0] [6,4,3,2,1,5,7]=>{{1,6},{2,4},{3},{5},{7}}=>[6,4,3,2,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [6,4,3,2,1,7,5]=>{{1,6,7},{2,4},{3},{5}}=>[6,4,3,2,5,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0] [6,4,3,2,5,1,7]=>{{1,6},{2,4},{3},{5},{7}}=>[6,4,3,2,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [6,4,3,2,5,7,1]=>{{1,6,7},{2,4},{3},{5}}=>[6,4,3,2,5,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0] [6,4,3,2,7,1,5]=>{{1,6},{2,4},{3},{5,7}}=>[6,4,3,2,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0] [6,4,3,2,7,5,1]=>{{1,6},{2,4},{3},{5,7}}=>[6,4,3,2,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0] [6,4,3,5,1,2,7]=>{{1,6},{2,4,5},{3},{7}}=>[6,4,3,5,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [6,4,3,5,1,7,2]=>{{1,6,7},{2,4,5},{3}}=>[6,4,3,5,2,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0] [6,4,3,5,2,1,7]=>{{1,6},{2,4,5},{3},{7}}=>[6,4,3,5,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [6,4,3,5,2,7,1]=>{{1,6,7},{2,4,5},{3}}=>[6,4,3,5,2,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0] [6,4,3,5,7,1,2]=>{{1,6},{2,4,5,7},{3}}=>[6,4,3,5,7,1,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0] [6,4,3,5,7,2,1]=>{{1,6},{2,4,5,7},{3}}=>[6,4,3,5,7,1,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0] [6,4,3,7,1,2,5]=>{{1,6},{2,4,7},{3},{5}}=>[6,4,3,7,5,1,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0] [6,4,3,7,1,5,2]=>{{1,6},{2,4,7},{3},{5}}=>[6,4,3,7,5,1,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0] [6,4,3,7,2,1,5]=>{{1,6},{2,4,7},{3},{5}}=>[6,4,3,7,5,1,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0] [6,4,3,7,2,5,1]=>{{1,6},{2,4,7},{3},{5}}=>[6,4,3,7,5,1,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0] [6,4,3,7,5,1,2]=>{{1,6},{2,4,7},{3},{5}}=>[6,4,3,7,5,1,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0] [6,4,3,7,5,2,1]=>{{1,6},{2,4,7},{3},{5}}=>[6,4,3,7,5,1,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0] [6,4,5,1,2,3,7]=>{{1,6},{2,4},{3,5},{7}}=>[6,4,5,2,3,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [6,4,5,1,2,7,3]=>{{1,6,7},{2,4},{3,5}}=>[6,4,5,2,3,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0] [6,4,5,1,3,2,7]=>{{1,6},{2,4},{3,5},{7}}=>[6,4,5,2,3,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [6,4,5,1,3,7,2]=>{{1,6,7},{2,4},{3,5}}=>[6,4,5,2,3,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0] [6,4,5,1,7,2,3]=>{{1,6},{2,4},{3,5,7}}=>[6,4,5,2,7,1,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0] [6,4,5,1,7,3,2]=>{{1,6},{2,4},{3,5,7}}=>[6,4,5,2,7,1,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0] [6,4,5,2,1,3,7]=>{{1,6},{2,4},{3,5},{7}}=>[6,4,5,2,3,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [6,4,5,2,1,7,3]=>{{1,6,7},{2,4},{3,5}}=>[6,4,5,2,3,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0] [6,4,5,2,3,1,7]=>{{1,6},{2,4},{3,5},{7}}=>[6,4,5,2,3,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [6,4,5,2,3,7,1]=>{{1,6,7},{2,4},{3,5}}=>[6,4,5,2,3,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0] [6,4,5,2,7,1,3]=>{{1,6},{2,4},{3,5,7}}=>[6,4,5,2,7,1,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0] [6,4,5,2,7,3,1]=>{{1,6},{2,4},{3,5,7}}=>[6,4,5,2,7,1,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0] [6,4,5,3,1,2,7]=>{{1,6},{2,4},{3,5},{7}}=>[6,4,5,2,3,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [6,4,5,3,1,7,2]=>{{1,6,7},{2,4},{3,5}}=>[6,4,5,2,3,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0] [6,4,5,3,2,1,7]=>{{1,6},{2,4},{3,5},{7}}=>[6,4,5,2,3,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [6,4,5,3,2,7,1]=>{{1,6,7},{2,4},{3,5}}=>[6,4,5,2,3,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0] [6,4,5,3,7,1,2]=>{{1,6},{2,4},{3,5,7}}=>[6,4,5,2,7,1,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0] [6,4,5,3,7,2,1]=>{{1,6},{2,4},{3,5,7}}=>[6,4,5,2,7,1,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0] [6,4,5,7,1,2,3]=>{{1,6},{2,4,7},{3,5}}=>[6,4,5,7,3,1,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0] [6,4,5,7,1,3,2]=>{{1,6},{2,4,7},{3,5}}=>[6,4,5,7,3,1,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0] [6,4,5,7,2,1,3]=>{{1,6},{2,4,7},{3,5}}=>[6,4,5,7,3,1,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0] [6,4,5,7,2,3,1]=>{{1,6},{2,4,7},{3,5}}=>[6,4,5,7,3,1,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0] [6,4,5,7,3,1,2]=>{{1,6},{2,4,7},{3,5}}=>[6,4,5,7,3,1,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0] [6,4,5,7,3,2,1]=>{{1,6},{2,4,7},{3,5}}=>[6,4,5,7,3,1,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0] [6,4,7,1,2,3,5]=>{{1,6},{2,4},{3,7},{5}}=>[6,4,7,2,5,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0] [6,4,7,1,2,5,3]=>{{1,6},{2,4},{3,7},{5}}=>[6,4,7,2,5,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0] [6,4,7,1,3,2,5]=>{{1,6},{2,4},{3,7},{5}}=>[6,4,7,2,5,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0] [6,4,7,1,3,5,2]=>{{1,6},{2,4},{3,7},{5}}=>[6,4,7,2,5,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0] [6,4,7,1,5,2,3]=>{{1,6},{2,4},{3,7},{5}}=>[6,4,7,2,5,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0] [6,4,7,1,5,3,2]=>{{1,6},{2,4},{3,7},{5}}=>[6,4,7,2,5,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0] [6,4,7,2,1,3,5]=>{{1,6},{2,4},{3,7},{5}}=>[6,4,7,2,5,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0] [6,4,7,2,1,5,3]=>{{1,6},{2,4},{3,7},{5}}=>[6,4,7,2,5,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0] [6,4,7,2,3,1,5]=>{{1,6},{2,4},{3,7},{5}}=>[6,4,7,2,5,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0] [6,4,7,2,3,5,1]=>{{1,6},{2,4},{3,7},{5}}=>[6,4,7,2,5,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0] [6,4,7,2,5,1,3]=>{{1,6},{2,4},{3,7},{5}}=>[6,4,7,2,5,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0] [6,4,7,2,5,3,1]=>{{1,6},{2,4},{3,7},{5}}=>[6,4,7,2,5,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0] [6,4,7,3,1,2,5]=>{{1,6},{2,4},{3,7},{5}}=>[6,4,7,2,5,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0] [6,4,7,3,1,5,2]=>{{1,6},{2,4},{3,7},{5}}=>[6,4,7,2,5,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0] [6,4,7,3,2,1,5]=>{{1,6},{2,4},{3,7},{5}}=>[6,4,7,2,5,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0] [6,4,7,3,2,5,1]=>{{1,6},{2,4},{3,7},{5}}=>[6,4,7,2,5,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0] [6,4,7,3,5,1,2]=>{{1,6},{2,4},{3,7},{5}}=>[6,4,7,2,5,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0] [6,4,7,3,5,2,1]=>{{1,6},{2,4},{3,7},{5}}=>[6,4,7,2,5,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0] [6,4,7,5,1,2,3]=>{{1,6},{2,4,5},{3,7}}=>[6,4,7,5,2,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0] [6,4,7,5,1,3,2]=>{{1,6},{2,4,5},{3,7}}=>[6,4,7,5,2,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0] [6,4,7,5,2,1,3]=>{{1,6},{2,4,5},{3,7}}=>[6,4,7,5,2,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0] [6,4,7,5,2,3,1]=>{{1,6},{2,4,5},{3,7}}=>[6,4,7,5,2,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0] [6,4,7,5,3,1,2]=>{{1,6},{2,4,5},{3,7}}=>[6,4,7,5,2,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0] [6,4,7,5,3,2,1]=>{{1,6},{2,4,5},{3,7}}=>[6,4,7,5,2,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0] [6,5,1,2,3,4,7]=>{{1,6},{2,5},{3},{4},{7}}=>[6,5,3,4,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [6,5,1,2,3,7,4]=>{{1,6,7},{2,5},{3},{4}}=>[6,5,3,4,2,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0] [6,5,1,2,4,3,7]=>{{1,6},{2,5},{3},{4},{7}}=>[6,5,3,4,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [6,5,1,2,4,7,3]=>{{1,6,7},{2,5},{3},{4}}=>[6,5,3,4,2,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0] [6,5,1,2,7,3,4]=>{{1,6},{2,5,7},{3},{4}}=>[6,5,3,4,7,1,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0] [6,5,1,2,7,4,3]=>{{1,6},{2,5,7},{3},{4}}=>[6,5,3,4,7,1,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0] [6,5,1,3,2,4,7]=>{{1,6},{2,5},{3},{4},{7}}=>[6,5,3,4,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [6,5,1,3,2,7,4]=>{{1,6,7},{2,5},{3},{4}}=>[6,5,3,4,2,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0] [6,5,1,3,4,2,7]=>{{1,6},{2,5},{3},{4},{7}}=>[6,5,3,4,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [6,5,1,3,4,7,2]=>{{1,6,7},{2,5},{3},{4}}=>[6,5,3,4,2,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0] [6,5,1,3,7,2,4]=>{{1,6},{2,5,7},{3},{4}}=>[6,5,3,4,7,1,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0] [6,5,1,3,7,4,2]=>{{1,6},{2,5,7},{3},{4}}=>[6,5,3,4,7,1,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0] [6,5,1,4,2,3,7]=>{{1,6},{2,5},{3},{4},{7}}=>[6,5,3,4,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [6,5,1,4,2,7,3]=>{{1,6,7},{2,5},{3},{4}}=>[6,5,3,4,2,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0] [6,5,1,4,3,2,7]=>{{1,6},{2,5},{3},{4},{7}}=>[6,5,3,4,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [6,5,1,4,3,7,2]=>{{1,6,7},{2,5},{3},{4}}=>[6,5,3,4,2,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0] [6,5,1,4,7,2,3]=>{{1,6},{2,5,7},{3},{4}}=>[6,5,3,4,7,1,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0] [6,5,1,4,7,3,2]=>{{1,6},{2,5,7},{3},{4}}=>[6,5,3,4,7,1,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0] [6,5,1,7,2,3,4]=>{{1,6},{2,5},{3},{4,7}}=>[6,5,3,7,2,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0] [6,5,1,7,2,4,3]=>{{1,6},{2,5},{3},{4,7}}=>[6,5,3,7,2,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0] [6,5,1,7,3,2,4]=>{{1,6},{2,5},{3},{4,7}}=>[6,5,3,7,2,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0] [6,5,1,7,3,4,2]=>{{1,6},{2,5},{3},{4,7}}=>[6,5,3,7,2,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0] [6,5,1,7,4,2,3]=>{{1,6},{2,5},{3},{4,7}}=>[6,5,3,7,2,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0] [6,5,1,7,4,3,2]=>{{1,6},{2,5},{3},{4,7}}=>[6,5,3,7,2,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0] [6,5,2,1,3,4,7]=>{{1,6},{2,5},{3},{4},{7}}=>[6,5,3,4,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [6,5,2,1,3,7,4]=>{{1,6,7},{2,5},{3},{4}}=>[6,5,3,4,2,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0] [6,5,2,1,4,3,7]=>{{1,6},{2,5},{3},{4},{7}}=>[6,5,3,4,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [6,5,2,1,4,7,3]=>{{1,6,7},{2,5},{3},{4}}=>[6,5,3,4,2,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0] [6,5,2,1,7,3,4]=>{{1,6},{2,5,7},{3},{4}}=>[6,5,3,4,7,1,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0] [6,5,2,1,7,4,3]=>{{1,6},{2,5,7},{3},{4}}=>[6,5,3,4,7,1,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0] [6,5,2,3,1,4,7]=>{{1,6},{2,5},{3},{4},{7}}=>[6,5,3,4,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [6,5,2,3,1,7,4]=>{{1,6,7},{2,5},{3},{4}}=>[6,5,3,4,2,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0] [6,5,2,3,4,1,7]=>{{1,6},{2,5},{3},{4},{7}}=>[6,5,3,4,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [6,5,2,3,4,7,1]=>{{1,6,7},{2,5},{3},{4}}=>[6,5,3,4,2,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0] [6,5,2,3,7,1,4]=>{{1,6},{2,5,7},{3},{4}}=>[6,5,3,4,7,1,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0] [6,5,2,3,7,4,1]=>{{1,6},{2,5,7},{3},{4}}=>[6,5,3,4,7,1,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0] [6,5,2,4,1,3,7]=>{{1,6},{2,5},{3},{4},{7}}=>[6,5,3,4,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [6,5,2,4,1,7,3]=>{{1,6,7},{2,5},{3},{4}}=>[6,5,3,4,2,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0] [6,5,2,4,3,1,7]=>{{1,6},{2,5},{3},{4},{7}}=>[6,5,3,4,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [6,5,2,4,3,7,1]=>{{1,6,7},{2,5},{3},{4}}=>[6,5,3,4,2,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0] [6,5,2,4,7,1,3]=>{{1,6},{2,5,7},{3},{4}}=>[6,5,3,4,7,1,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0] [6,5,2,4,7,3,1]=>{{1,6},{2,5,7},{3},{4}}=>[6,5,3,4,7,1,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0] [6,5,2,7,1,3,4]=>{{1,6},{2,5},{3},{4,7}}=>[6,5,3,7,2,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0] [6,5,2,7,1,4,3]=>{{1,6},{2,5},{3},{4,7}}=>[6,5,3,7,2,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0] [6,5,2,7,3,1,4]=>{{1,6},{2,5},{3},{4,7}}=>[6,5,3,7,2,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0] [6,5,2,7,3,4,1]=>{{1,6},{2,5},{3},{4,7}}=>[6,5,3,7,2,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0] [6,5,2,7,4,1,3]=>{{1,6},{2,5},{3},{4,7}}=>[6,5,3,7,2,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0] [6,5,2,7,4,3,1]=>{{1,6},{2,5},{3},{4,7}}=>[6,5,3,7,2,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0] [6,5,3,1,2,4,7]=>{{1,6},{2,5},{3},{4},{7}}=>[6,5,3,4,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [6,5,3,1,2,7,4]=>{{1,6,7},{2,5},{3},{4}}=>[6,5,3,4,2,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0] [6,5,3,1,4,2,7]=>{{1,6},{2,5},{3},{4},{7}}=>[6,5,3,4,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [6,5,3,1,4,7,2]=>{{1,6,7},{2,5},{3},{4}}=>[6,5,3,4,2,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0] [6,5,3,1,7,2,4]=>{{1,6},{2,5,7},{3},{4}}=>[6,5,3,4,7,1,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0] [6,5,3,1,7,4,2]=>{{1,6},{2,5,7},{3},{4}}=>[6,5,3,4,7,1,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0] [6,5,3,2,1,4,7]=>{{1,6},{2,5},{3},{4},{7}}=>[6,5,3,4,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [6,5,3,2,1,7,4]=>{{1,6,7},{2,5},{3},{4}}=>[6,5,3,4,2,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0] [6,5,3,2,4,1,7]=>{{1,6},{2,5},{3},{4},{7}}=>[6,5,3,4,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [6,5,3,2,4,7,1]=>{{1,6,7},{2,5},{3},{4}}=>[6,5,3,4,2,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0] [6,5,3,2,7,1,4]=>{{1,6},{2,5,7},{3},{4}}=>[6,5,3,4,7,1,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0] [6,5,3,2,7,4,1]=>{{1,6},{2,5,7},{3},{4}}=>[6,5,3,4,7,1,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0] [6,5,3,4,1,2,7]=>{{1,6},{2,5},{3},{4},{7}}=>[6,5,3,4,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [6,5,3,4,1,7,2]=>{{1,6,7},{2,5},{3},{4}}=>[6,5,3,4,2,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0] [6,5,3,4,2,1,7]=>{{1,6},{2,5},{3},{4},{7}}=>[6,5,3,4,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [6,5,3,4,2,7,1]=>{{1,6,7},{2,5},{3},{4}}=>[6,5,3,4,2,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0] [6,5,3,4,7,1,2]=>{{1,6},{2,5,7},{3},{4}}=>[6,5,3,4,7,1,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0] [6,5,3,4,7,2,1]=>{{1,6},{2,5,7},{3},{4}}=>[6,5,3,4,7,1,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0] [6,5,3,7,1,2,4]=>{{1,6},{2,5},{3},{4,7}}=>[6,5,3,7,2,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0] [6,5,3,7,1,4,2]=>{{1,6},{2,5},{3},{4,7}}=>[6,5,3,7,2,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0] [6,5,3,7,2,1,4]=>{{1,6},{2,5},{3},{4,7}}=>[6,5,3,7,2,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0] [6,5,3,7,2,4,1]=>{{1,6},{2,5},{3},{4,7}}=>[6,5,3,7,2,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0] [6,5,3,7,4,1,2]=>{{1,6},{2,5},{3},{4,7}}=>[6,5,3,7,2,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0] [6,5,3,7,4,2,1]=>{{1,6},{2,5},{3},{4,7}}=>[6,5,3,7,2,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0] [6,5,4,1,2,3,7]=>{{1,6},{2,5},{3,4},{7}}=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [6,5,4,1,2,7,3]=>{{1,6,7},{2,5},{3,4}}=>[6,5,4,3,2,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0] [6,5,4,1,3,2,7]=>{{1,6},{2,5},{3,4},{7}}=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [6,5,4,1,3,7,2]=>{{1,6,7},{2,5},{3,4}}=>[6,5,4,3,2,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0] [6,5,4,1,7,2,3]=>{{1,6},{2,5,7},{3,4}}=>[6,5,4,3,7,1,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0] [6,5,4,1,7,3,2]=>{{1,6},{2,5,7},{3,4}}=>[6,5,4,3,7,1,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0] [6,5,4,2,1,3,7]=>{{1,6},{2,5},{3,4},{7}}=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [6,5,4,2,1,7,3]=>{{1,6,7},{2,5},{3,4}}=>[6,5,4,3,2,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0] [6,5,4,2,3,1,7]=>{{1,6},{2,5},{3,4},{7}}=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [6,5,4,2,3,7,1]=>{{1,6,7},{2,5},{3,4}}=>[6,5,4,3,2,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0] [6,5,4,2,7,1,3]=>{{1,6},{2,5,7},{3,4}}=>[6,5,4,3,7,1,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0] [6,5,4,2,7,3,1]=>{{1,6},{2,5,7},{3,4}}=>[6,5,4,3,7,1,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0] [6,5,4,3,1,2,7]=>{{1,6},{2,5},{3,4},{7}}=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [6,5,4,3,1,7,2]=>{{1,6,7},{2,5},{3,4}}=>[6,5,4,3,2,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0] [6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [6,5,4,3,2,7,1]=>{{1,6,7},{2,5},{3,4}}=>[6,5,4,3,2,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0] [6,5,4,3,7,1,2]=>{{1,6},{2,5,7},{3,4}}=>[6,5,4,3,7,1,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0] [6,5,4,3,7,2,1]=>{{1,6},{2,5,7},{3,4}}=>[6,5,4,3,7,1,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0] [6,5,4,7,1,2,3]=>{{1,6},{2,5},{3,4,7}}=>[6,5,4,7,2,1,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0] [6,5,4,7,1,3,2]=>{{1,6},{2,5},{3,4,7}}=>[6,5,4,7,2,1,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0] [6,5,4,7,2,1,3]=>{{1,6},{2,5},{3,4,7}}=>[6,5,4,7,2,1,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0] [6,5,4,7,2,3,1]=>{{1,6},{2,5},{3,4,7}}=>[6,5,4,7,2,1,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0] [6,5,4,7,3,1,2]=>{{1,6},{2,5},{3,4,7}}=>[6,5,4,7,2,1,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0] [6,5,4,7,3,2,1]=>{{1,6},{2,5},{3,4,7}}=>[6,5,4,7,2,1,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0] [6,5,7,1,2,3,4]=>{{1,6},{2,5},{3,7},{4}}=>[6,5,7,4,2,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0] [6,5,7,1,2,4,3]=>{{1,6},{2,5},{3,7},{4}}=>[6,5,7,4,2,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0] [6,5,7,1,3,2,4]=>{{1,6},{2,5},{3,7},{4}}=>[6,5,7,4,2,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0] [6,5,7,1,3,4,2]=>{{1,6},{2,5},{3,7},{4}}=>[6,5,7,4,2,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0] [6,5,7,1,4,2,3]=>{{1,6},{2,5},{3,7},{4}}=>[6,5,7,4,2,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0] [6,5,7,1,4,3,2]=>{{1,6},{2,5},{3,7},{4}}=>[6,5,7,4,2,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0] [6,5,7,2,1,3,4]=>{{1,6},{2,5},{3,7},{4}}=>[6,5,7,4,2,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0] [6,5,7,2,1,4,3]=>{{1,6},{2,5},{3,7},{4}}=>[6,5,7,4,2,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0] [6,5,7,2,3,1,4]=>{{1,6},{2,5},{3,7},{4}}=>[6,5,7,4,2,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0] [6,5,7,2,3,4,1]=>{{1,6},{2,5},{3,7},{4}}=>[6,5,7,4,2,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0] [6,5,7,2,4,1,3]=>{{1,6},{2,5},{3,7},{4}}=>[6,5,7,4,2,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0] [6,5,7,2,4,3,1]=>{{1,6},{2,5},{3,7},{4}}=>[6,5,7,4,2,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0] [6,5,7,3,1,2,4]=>{{1,6},{2,5},{3,7},{4}}=>[6,5,7,4,2,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0] [6,5,7,3,1,4,2]=>{{1,6},{2,5},{3,7},{4}}=>[6,5,7,4,2,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0] [6,5,7,3,2,1,4]=>{{1,6},{2,5},{3,7},{4}}=>[6,5,7,4,2,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0] [6,5,7,3,2,4,1]=>{{1,6},{2,5},{3,7},{4}}=>[6,5,7,4,2,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0] [6,5,7,3,4,1,2]=>{{1,6},{2,5},{3,7},{4}}=>[6,5,7,4,2,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0] [6,5,7,3,4,2,1]=>{{1,6},{2,5},{3,7},{4}}=>[6,5,7,4,2,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0] [6,5,7,4,1,2,3]=>{{1,6},{2,5},{3,7},{4}}=>[6,5,7,4,2,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0] [6,5,7,4,1,3,2]=>{{1,6},{2,5},{3,7},{4}}=>[6,5,7,4,2,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0] [6,5,7,4,2,1,3]=>{{1,6},{2,5},{3,7},{4}}=>[6,5,7,4,2,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0] [6,5,7,4,2,3,1]=>{{1,6},{2,5},{3,7},{4}}=>[6,5,7,4,2,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0] [6,5,7,4,3,1,2]=>{{1,6},{2,5},{3,7},{4}}=>[6,5,7,4,2,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0] [6,5,7,4,3,2,1]=>{{1,6},{2,5},{3,7},{4}}=>[6,5,7,4,2,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0] [6,7,1,2,3,4,5]=>{{1,6},{2,7},{3},{4},{5}}=>[6,7,3,4,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0] [6,7,1,2,3,5,4]=>{{1,6},{2,7},{3},{4},{5}}=>[6,7,3,4,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0] [6,7,1,2,4,3,5]=>{{1,6},{2,7},{3},{4},{5}}=>[6,7,3,4,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0] [6,7,1,2,4,5,3]=>{{1,6},{2,7},{3},{4},{5}}=>[6,7,3,4,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0] [6,7,1,2,5,3,4]=>{{1,6},{2,7},{3},{4},{5}}=>[6,7,3,4,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0] [6,7,1,2,5,4,3]=>{{1,6},{2,7},{3},{4},{5}}=>[6,7,3,4,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0] [6,7,1,3,2,4,5]=>{{1,6},{2,7},{3},{4},{5}}=>[6,7,3,4,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0] [6,7,1,3,2,5,4]=>{{1,6},{2,7},{3},{4},{5}}=>[6,7,3,4,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0] [6,7,1,3,4,2,5]=>{{1,6},{2,7},{3},{4},{5}}=>[6,7,3,4,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0] [6,7,1,3,4,5,2]=>{{1,6},{2,7},{3},{4},{5}}=>[6,7,3,4,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0] [6,7,1,3,5,2,4]=>{{1,6},{2,7},{3},{4},{5}}=>[6,7,3,4,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0] [6,7,1,3,5,4,2]=>{{1,6},{2,7},{3},{4},{5}}=>[6,7,3,4,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0] [6,7,1,4,2,3,5]=>{{1,6},{2,7},{3},{4},{5}}=>[6,7,3,4,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0] [6,7,1,4,2,5,3]=>{{1,6},{2,7},{3},{4},{5}}=>[6,7,3,4,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0] [6,7,1,4,3,2,5]=>{{1,6},{2,7},{3},{4},{5}}=>[6,7,3,4,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0] [6,7,1,4,3,5,2]=>{{1,6},{2,7},{3},{4},{5}}=>[6,7,3,4,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0] [6,7,1,4,5,2,3]=>{{1,6},{2,7},{3},{4},{5}}=>[6,7,3,4,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0] [6,7,1,4,5,3,2]=>{{1,6},{2,7},{3},{4},{5}}=>[6,7,3,4,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0] [6,7,1,5,2,3,4]=>{{1,6},{2,7},{3},{4,5}}=>[6,7,3,5,4,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0] [6,7,1,5,2,4,3]=>{{1,6},{2,7},{3},{4,5}}=>[6,7,3,5,4,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0] [6,7,1,5,3,2,4]=>{{1,6},{2,7},{3},{4,5}}=>[6,7,3,5,4,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0] [6,7,1,5,3,4,2]=>{{1,6},{2,7},{3},{4,5}}=>[6,7,3,5,4,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0] [6,7,1,5,4,2,3]=>{{1,6},{2,7},{3},{4,5}}=>[6,7,3,5,4,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0] [6,7,1,5,4,3,2]=>{{1,6},{2,7},{3},{4,5}}=>[6,7,3,5,4,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0] [6,7,2,1,3,4,5]=>{{1,6},{2,7},{3},{4},{5}}=>[6,7,3,4,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0] [6,7,2,1,3,5,4]=>{{1,6},{2,7},{3},{4},{5}}=>[6,7,3,4,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0] [6,7,2,1,4,3,5]=>{{1,6},{2,7},{3},{4},{5}}=>[6,7,3,4,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0] [6,7,2,1,4,5,3]=>{{1,6},{2,7},{3},{4},{5}}=>[6,7,3,4,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0] [6,7,2,1,5,3,4]=>{{1,6},{2,7},{3},{4},{5}}=>[6,7,3,4,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0] [6,7,2,1,5,4,3]=>{{1,6},{2,7},{3},{4},{5}}=>[6,7,3,4,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0] [6,7,2,3,1,4,5]=>{{1,6},{2,7},{3},{4},{5}}=>[6,7,3,4,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0] [6,7,2,3,1,5,4]=>{{1,6},{2,7},{3},{4},{5}}=>[6,7,3,4,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0] [6,7,2,3,4,1,5]=>{{1,6},{2,7},{3},{4},{5}}=>[6,7,3,4,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0] [6,7,2,3,4,5,1]=>{{1,6},{2,7},{3},{4},{5}}=>[6,7,3,4,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0] [6,7,2,3,5,1,4]=>{{1,6},{2,7},{3},{4},{5}}=>[6,7,3,4,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0] [6,7,2,3,5,4,1]=>{{1,6},{2,7},{3},{4},{5}}=>[6,7,3,4,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0] [6,7,2,4,1,3,5]=>{{1,6},{2,7},{3},{4},{5}}=>[6,7,3,4,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0] [6,7,2,4,1,5,3]=>{{1,6},{2,7},{3},{4},{5}}=>[6,7,3,4,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0] [6,7,2,4,3,1,5]=>{{1,6},{2,7},{3},{4},{5}}=>[6,7,3,4,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0] [6,7,2,4,3,5,1]=>{{1,6},{2,7},{3},{4},{5}}=>[6,7,3,4,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0] [6,7,2,4,5,1,3]=>{{1,6},{2,7},{3},{4},{5}}=>[6,7,3,4,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0] [6,7,2,4,5,3,1]=>{{1,6},{2,7},{3},{4},{5}}=>[6,7,3,4,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0] [6,7,2,5,1,3,4]=>{{1,6},{2,7},{3},{4,5}}=>[6,7,3,5,4,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0] [6,7,2,5,1,4,3]=>{{1,6},{2,7},{3},{4,5}}=>[6,7,3,5,4,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0] [6,7,2,5,3,1,4]=>{{1,6},{2,7},{3},{4,5}}=>[6,7,3,5,4,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0] [6,7,2,5,3,4,1]=>{{1,6},{2,7},{3},{4,5}}=>[6,7,3,5,4,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0] [6,7,2,5,4,1,3]=>{{1,6},{2,7},{3},{4,5}}=>[6,7,3,5,4,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0] [6,7,2,5,4,3,1]=>{{1,6},{2,7},{3},{4,5}}=>[6,7,3,5,4,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0] [6,7,3,1,2,4,5]=>{{1,6},{2,7},{3},{4},{5}}=>[6,7,3,4,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0] [6,7,3,1,2,5,4]=>{{1,6},{2,7},{3},{4},{5}}=>[6,7,3,4,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0] [6,7,3,1,4,2,5]=>{{1,6},{2,7},{3},{4},{5}}=>[6,7,3,4,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0] [6,7,3,1,4,5,2]=>{{1,6},{2,7},{3},{4},{5}}=>[6,7,3,4,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0] [6,7,3,1,5,2,4]=>{{1,6},{2,7},{3},{4},{5}}=>[6,7,3,4,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0] [6,7,3,1,5,4,2]=>{{1,6},{2,7},{3},{4},{5}}=>[6,7,3,4,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0] [6,7,3,2,1,4,5]=>{{1,6},{2,7},{3},{4},{5}}=>[6,7,3,4,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0] [6,7,3,2,1,5,4]=>{{1,6},{2,7},{3},{4},{5}}=>[6,7,3,4,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0] [6,7,3,2,4,1,5]=>{{1,6},{2,7},{3},{4},{5}}=>[6,7,3,4,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0] [6,7,3,2,4,5,1]=>{{1,6},{2,7},{3},{4},{5}}=>[6,7,3,4,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0] [6,7,3,2,5,1,4]=>{{1,6},{2,7},{3},{4},{5}}=>[6,7,3,4,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0] [6,7,3,2,5,4,1]=>{{1,6},{2,7},{3},{4},{5}}=>[6,7,3,4,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0] [6,7,3,4,1,2,5]=>{{1,6},{2,7},{3},{4},{5}}=>[6,7,3,4,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0] [6,7,3,4,1,5,2]=>{{1,6},{2,7},{3},{4},{5}}=>[6,7,3,4,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0] [6,7,3,4,2,1,5]=>{{1,6},{2,7},{3},{4},{5}}=>[6,7,3,4,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0] [6,7,3,4,2,5,1]=>{{1,6},{2,7},{3},{4},{5}}=>[6,7,3,4,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0] [6,7,3,4,5,1,2]=>{{1,6},{2,7},{3},{4},{5}}=>[6,7,3,4,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0] [6,7,3,4,5,2,1]=>{{1,6},{2,7},{3},{4},{5}}=>[6,7,3,4,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0] [6,7,3,5,1,2,4]=>{{1,6},{2,7},{3},{4,5}}=>[6,7,3,5,4,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0] [6,7,3,5,1,4,2]=>{{1,6},{2,7},{3},{4,5}}=>[6,7,3,5,4,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0] [6,7,3,5,2,1,4]=>{{1,6},{2,7},{3},{4,5}}=>[6,7,3,5,4,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0] [6,7,3,5,2,4,1]=>{{1,6},{2,7},{3},{4,5}}=>[6,7,3,5,4,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0] [6,7,3,5,4,1,2]=>{{1,6},{2,7},{3},{4,5}}=>[6,7,3,5,4,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0] [6,7,3,5,4,2,1]=>{{1,6},{2,7},{3},{4,5}}=>[6,7,3,5,4,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0] [6,7,4,1,2,3,5]=>{{1,6},{2,7},{3,4},{5}}=>[6,7,4,3,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0] [6,7,4,1,2,5,3]=>{{1,6},{2,7},{3,4},{5}}=>[6,7,4,3,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0] [6,7,4,1,3,2,5]=>{{1,6},{2,7},{3,4},{5}}=>[6,7,4,3,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0] [6,7,4,1,3,5,2]=>{{1,6},{2,7},{3,4},{5}}=>[6,7,4,3,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0] [6,7,4,1,5,2,3]=>{{1,6},{2,7},{3,4},{5}}=>[6,7,4,3,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0] [6,7,4,1,5,3,2]=>{{1,6},{2,7},{3,4},{5}}=>[6,7,4,3,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0] [6,7,4,2,1,3,5]=>{{1,6},{2,7},{3,4},{5}}=>[6,7,4,3,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0] [6,7,4,2,1,5,3]=>{{1,6},{2,7},{3,4},{5}}=>[6,7,4,3,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0] [6,7,4,2,3,1,5]=>{{1,6},{2,7},{3,4},{5}}=>[6,7,4,3,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0] [6,7,4,2,3,5,1]=>{{1,6},{2,7},{3,4},{5}}=>[6,7,4,3,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0] [6,7,4,2,5,1,3]=>{{1,6},{2,7},{3,4},{5}}=>[6,7,4,3,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0] [6,7,4,2,5,3,1]=>{{1,6},{2,7},{3,4},{5}}=>[6,7,4,3,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0] [6,7,4,3,1,2,5]=>{{1,6},{2,7},{3,4},{5}}=>[6,7,4,3,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0] [6,7,4,3,1,5,2]=>{{1,6},{2,7},{3,4},{5}}=>[6,7,4,3,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0] [6,7,4,3,2,1,5]=>{{1,6},{2,7},{3,4},{5}}=>[6,7,4,3,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0] [6,7,4,3,2,5,1]=>{{1,6},{2,7},{3,4},{5}}=>[6,7,4,3,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0] [6,7,4,3,5,1,2]=>{{1,6},{2,7},{3,4},{5}}=>[6,7,4,3,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0] [6,7,4,3,5,2,1]=>{{1,6},{2,7},{3,4},{5}}=>[6,7,4,3,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0] [6,7,4,5,1,2,3]=>{{1,6},{2,7},{3,4,5}}=>[6,7,4,5,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0] [6,7,4,5,1,3,2]=>{{1,6},{2,7},{3,4,5}}=>[6,7,4,5,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0] [6,7,4,5,2,1,3]=>{{1,6},{2,7},{3,4,5}}=>[6,7,4,5,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0] [6,7,4,5,2,3,1]=>{{1,6},{2,7},{3,4,5}}=>[6,7,4,5,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0] [6,7,4,5,3,1,2]=>{{1,6},{2,7},{3,4,5}}=>[6,7,4,5,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0] [6,7,4,5,3,2,1]=>{{1,6},{2,7},{3,4,5}}=>[6,7,4,5,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0] [6,7,5,1,2,3,4]=>{{1,6},{2,7},{3,5},{4}}=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0] [6,7,5,1,2,4,3]=>{{1,6},{2,7},{3,5},{4}}=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0] [6,7,5,1,3,2,4]=>{{1,6},{2,7},{3,5},{4}}=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0] [6,7,5,1,3,4,2]=>{{1,6},{2,7},{3,5},{4}}=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0] [6,7,5,1,4,2,3]=>{{1,6},{2,7},{3,5},{4}}=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0] [6,7,5,1,4,3,2]=>{{1,6},{2,7},{3,5},{4}}=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0] [6,7,5,2,1,3,4]=>{{1,6},{2,7},{3,5},{4}}=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0] [6,7,5,2,1,4,3]=>{{1,6},{2,7},{3,5},{4}}=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0] [6,7,5,2,3,1,4]=>{{1,6},{2,7},{3,5},{4}}=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0] [6,7,5,2,3,4,1]=>{{1,6},{2,7},{3,5},{4}}=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0] [6,7,5,2,4,1,3]=>{{1,6},{2,7},{3,5},{4}}=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0] [6,7,5,2,4,3,1]=>{{1,6},{2,7},{3,5},{4}}=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0] [6,7,5,3,1,2,4]=>{{1,6},{2,7},{3,5},{4}}=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0] [6,7,5,3,1,4,2]=>{{1,6},{2,7},{3,5},{4}}=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0] [6,7,5,3,2,1,4]=>{{1,6},{2,7},{3,5},{4}}=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0] [6,7,5,3,2,4,1]=>{{1,6},{2,7},{3,5},{4}}=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0] [6,7,5,3,4,1,2]=>{{1,6},{2,7},{3,5},{4}}=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0] [6,7,5,3,4,2,1]=>{{1,6},{2,7},{3,5},{4}}=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0] [6,7,5,4,1,2,3]=>{{1,6},{2,7},{3,5},{4}}=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0] [6,7,5,4,1,3,2]=>{{1,6},{2,7},{3,5},{4}}=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0] [6,7,5,4,2,1,3]=>{{1,6},{2,7},{3,5},{4}}=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0] [6,7,5,4,2,3,1]=>{{1,6},{2,7},{3,5},{4}}=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0] [6,7,5,4,3,1,2]=>{{1,6},{2,7},{3,5},{4}}=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0] [6,7,5,4,3,2,1]=>{{1,6},{2,7},{3,5},{4}}=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0] [7,1,2,3,4,5,6]=>{{1,7},{2},{3},{4},{5},{6}}=>[7,2,3,4,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,1,2,3,4,6,5]=>{{1,7},{2},{3},{4},{5},{6}}=>[7,2,3,4,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,1,2,3,5,4,6]=>{{1,7},{2},{3},{4},{5},{6}}=>[7,2,3,4,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,1,2,3,5,6,4]=>{{1,7},{2},{3},{4},{5},{6}}=>[7,2,3,4,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,1,2,3,6,4,5]=>{{1,7},{2},{3},{4},{5,6}}=>[7,2,3,4,6,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,1,2,3,6,5,4]=>{{1,7},{2},{3},{4},{5,6}}=>[7,2,3,4,6,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,1,2,4,3,5,6]=>{{1,7},{2},{3},{4},{5},{6}}=>[7,2,3,4,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,1,2,4,3,6,5]=>{{1,7},{2},{3},{4},{5},{6}}=>[7,2,3,4,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,1,2,4,5,3,6]=>{{1,7},{2},{3},{4},{5},{6}}=>[7,2,3,4,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,1,2,4,5,6,3]=>{{1,7},{2},{3},{4},{5},{6}}=>[7,2,3,4,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,1,2,4,6,3,5]=>{{1,7},{2},{3},{4},{5,6}}=>[7,2,3,4,6,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,1,2,4,6,5,3]=>{{1,7},{2},{3},{4},{5,6}}=>[7,2,3,4,6,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,1,2,5,3,4,6]=>{{1,7},{2},{3},{4,5},{6}}=>[7,2,3,5,4,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,1,2,5,3,6,4]=>{{1,7},{2},{3},{4,5},{6}}=>[7,2,3,5,4,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,1,2,5,4,3,6]=>{{1,7},{2},{3},{4,5},{6}}=>[7,2,3,5,4,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,1,2,5,4,6,3]=>{{1,7},{2},{3},{4,5},{6}}=>[7,2,3,5,4,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,1,2,5,6,3,4]=>{{1,7},{2},{3},{4,5,6}}=>[7,2,3,5,6,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,1,2,5,6,4,3]=>{{1,7},{2},{3},{4,5,6}}=>[7,2,3,5,6,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,1,2,6,3,4,5]=>{{1,7},{2},{3},{4,6},{5}}=>[7,2,3,6,5,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,1,2,6,3,5,4]=>{{1,7},{2},{3},{4,6},{5}}=>[7,2,3,6,5,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,1,2,6,4,3,5]=>{{1,7},{2},{3},{4,6},{5}}=>[7,2,3,6,5,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,1,2,6,4,5,3]=>{{1,7},{2},{3},{4,6},{5}}=>[7,2,3,6,5,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,1,2,6,5,3,4]=>{{1,7},{2},{3},{4,6},{5}}=>[7,2,3,6,5,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,1,2,6,5,4,3]=>{{1,7},{2},{3},{4,6},{5}}=>[7,2,3,6,5,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,1,3,2,4,5,6]=>{{1,7},{2},{3},{4},{5},{6}}=>[7,2,3,4,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,1,3,2,4,6,5]=>{{1,7},{2},{3},{4},{5},{6}}=>[7,2,3,4,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,1,3,2,5,4,6]=>{{1,7},{2},{3},{4},{5},{6}}=>[7,2,3,4,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,1,3,2,5,6,4]=>{{1,7},{2},{3},{4},{5},{6}}=>[7,2,3,4,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,1,3,2,6,4,5]=>{{1,7},{2},{3},{4},{5,6}}=>[7,2,3,4,6,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,1,3,2,6,5,4]=>{{1,7},{2},{3},{4},{5,6}}=>[7,2,3,4,6,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,1,3,4,2,5,6]=>{{1,7},{2},{3},{4},{5},{6}}=>[7,2,3,4,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,1,3,4,2,6,5]=>{{1,7},{2},{3},{4},{5},{6}}=>[7,2,3,4,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,1,3,4,5,2,6]=>{{1,7},{2},{3},{4},{5},{6}}=>[7,2,3,4,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,1,3,4,5,6,2]=>{{1,7},{2},{3},{4},{5},{6}}=>[7,2,3,4,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,1,3,4,6,2,5]=>{{1,7},{2},{3},{4},{5,6}}=>[7,2,3,4,6,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,1,3,4,6,5,2]=>{{1,7},{2},{3},{4},{5,6}}=>[7,2,3,4,6,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,1,3,5,2,4,6]=>{{1,7},{2},{3},{4,5},{6}}=>[7,2,3,5,4,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,1,3,5,2,6,4]=>{{1,7},{2},{3},{4,5},{6}}=>[7,2,3,5,4,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,1,3,5,4,2,6]=>{{1,7},{2},{3},{4,5},{6}}=>[7,2,3,5,4,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,1,3,5,4,6,2]=>{{1,7},{2},{3},{4,5},{6}}=>[7,2,3,5,4,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,1,3,5,6,2,4]=>{{1,7},{2},{3},{4,5,6}}=>[7,2,3,5,6,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,1,3,5,6,4,2]=>{{1,7},{2},{3},{4,5,6}}=>[7,2,3,5,6,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,1,3,6,2,4,5]=>{{1,7},{2},{3},{4,6},{5}}=>[7,2,3,6,5,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,1,3,6,2,5,4]=>{{1,7},{2},{3},{4,6},{5}}=>[7,2,3,6,5,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,1,3,6,4,2,5]=>{{1,7},{2},{3},{4,6},{5}}=>[7,2,3,6,5,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,1,3,6,4,5,2]=>{{1,7},{2},{3},{4,6},{5}}=>[7,2,3,6,5,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,1,3,6,5,2,4]=>{{1,7},{2},{3},{4,6},{5}}=>[7,2,3,6,5,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,1,3,6,5,4,2]=>{{1,7},{2},{3},{4,6},{5}}=>[7,2,3,6,5,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,1,4,2,3,5,6]=>{{1,7},{2},{3,4},{5},{6}}=>[7,2,4,3,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,1,4,2,3,6,5]=>{{1,7},{2},{3,4},{5},{6}}=>[7,2,4,3,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,1,4,2,5,3,6]=>{{1,7},{2},{3,4},{5},{6}}=>[7,2,4,3,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,1,4,2,5,6,3]=>{{1,7},{2},{3,4},{5},{6}}=>[7,2,4,3,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,1,4,2,6,3,5]=>{{1,7},{2},{3,4},{5,6}}=>[7,2,4,3,6,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,1,4,2,6,5,3]=>{{1,7},{2},{3,4},{5,6}}=>[7,2,4,3,6,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,1,4,3,2,5,6]=>{{1,7},{2},{3,4},{5},{6}}=>[7,2,4,3,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,1,4,3,2,6,5]=>{{1,7},{2},{3,4},{5},{6}}=>[7,2,4,3,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,1,4,3,5,2,6]=>{{1,7},{2},{3,4},{5},{6}}=>[7,2,4,3,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,1,4,3,5,6,2]=>{{1,7},{2},{3,4},{5},{6}}=>[7,2,4,3,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,1,4,3,6,2,5]=>{{1,7},{2},{3,4},{5,6}}=>[7,2,4,3,6,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,1,4,3,6,5,2]=>{{1,7},{2},{3,4},{5,6}}=>[7,2,4,3,6,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,1,4,5,2,3,6]=>{{1,7},{2},{3,4,5},{6}}=>[7,2,4,5,3,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,1,4,5,2,6,3]=>{{1,7},{2},{3,4,5},{6}}=>[7,2,4,5,3,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,1,4,5,3,2,6]=>{{1,7},{2},{3,4,5},{6}}=>[7,2,4,5,3,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,1,4,5,3,6,2]=>{{1,7},{2},{3,4,5},{6}}=>[7,2,4,5,3,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,1,4,5,6,2,3]=>{{1,7},{2},{3,4,5,6}}=>[7,2,4,5,6,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,1,4,5,6,3,2]=>{{1,7},{2},{3,4,5,6}}=>[7,2,4,5,6,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,1,4,6,2,3,5]=>{{1,7},{2},{3,4,6},{5}}=>[7,2,4,6,5,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,1,4,6,2,5,3]=>{{1,7},{2},{3,4,6},{5}}=>[7,2,4,6,5,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,1,4,6,3,2,5]=>{{1,7},{2},{3,4,6},{5}}=>[7,2,4,6,5,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,1,4,6,3,5,2]=>{{1,7},{2},{3,4,6},{5}}=>[7,2,4,6,5,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,1,4,6,5,2,3]=>{{1,7},{2},{3,4,6},{5}}=>[7,2,4,6,5,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,1,4,6,5,3,2]=>{{1,7},{2},{3,4,6},{5}}=>[7,2,4,6,5,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,1,5,2,3,4,6]=>{{1,7},{2},{3,5},{4},{6}}=>[7,2,5,4,3,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,1,5,2,3,6,4]=>{{1,7},{2},{3,5},{4},{6}}=>[7,2,5,4,3,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,1,5,2,4,3,6]=>{{1,7},{2},{3,5},{4},{6}}=>[7,2,5,4,3,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,1,5,2,4,6,3]=>{{1,7},{2},{3,5},{4},{6}}=>[7,2,5,4,3,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,1,5,2,6,3,4]=>{{1,7},{2},{3,5,6},{4}}=>[7,2,5,4,6,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,1,5,2,6,4,3]=>{{1,7},{2},{3,5,6},{4}}=>[7,2,5,4,6,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,1,5,3,2,4,6]=>{{1,7},{2},{3,5},{4},{6}}=>[7,2,5,4,3,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,1,5,3,2,6,4]=>{{1,7},{2},{3,5},{4},{6}}=>[7,2,5,4,3,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,1,5,3,4,2,6]=>{{1,7},{2},{3,5},{4},{6}}=>[7,2,5,4,3,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,1,5,3,4,6,2]=>{{1,7},{2},{3,5},{4},{6}}=>[7,2,5,4,3,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,1,5,3,6,2,4]=>{{1,7},{2},{3,5,6},{4}}=>[7,2,5,4,6,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,1,5,3,6,4,2]=>{{1,7},{2},{3,5,6},{4}}=>[7,2,5,4,6,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,1,5,4,2,3,6]=>{{1,7},{2},{3,5},{4},{6}}=>[7,2,5,4,3,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,1,5,4,2,6,3]=>{{1,7},{2},{3,5},{4},{6}}=>[7,2,5,4,3,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,1,5,4,3,2,6]=>{{1,7},{2},{3,5},{4},{6}}=>[7,2,5,4,3,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,1,5,4,3,6,2]=>{{1,7},{2},{3,5},{4},{6}}=>[7,2,5,4,3,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,1,5,4,6,2,3]=>{{1,7},{2},{3,5,6},{4}}=>[7,2,5,4,6,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,1,5,4,6,3,2]=>{{1,7},{2},{3,5,6},{4}}=>[7,2,5,4,6,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,1,5,6,2,3,4]=>{{1,7},{2},{3,5},{4,6}}=>[7,2,5,6,3,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,1,5,6,2,4,3]=>{{1,7},{2},{3,5},{4,6}}=>[7,2,5,6,3,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,1,5,6,3,2,4]=>{{1,7},{2},{3,5},{4,6}}=>[7,2,5,6,3,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,1,5,6,3,4,2]=>{{1,7},{2},{3,5},{4,6}}=>[7,2,5,6,3,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,1,5,6,4,2,3]=>{{1,7},{2},{3,5},{4,6}}=>[7,2,5,6,3,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,1,5,6,4,3,2]=>{{1,7},{2},{3,5},{4,6}}=>[7,2,5,6,3,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,1,6,2,3,4,5]=>{{1,7},{2},{3,6},{4},{5}}=>[7,2,6,4,5,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,1,6,2,3,5,4]=>{{1,7},{2},{3,6},{4},{5}}=>[7,2,6,4,5,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,1,6,2,4,3,5]=>{{1,7},{2},{3,6},{4},{5}}=>[7,2,6,4,5,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,1,6,2,4,5,3]=>{{1,7},{2},{3,6},{4},{5}}=>[7,2,6,4,5,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,1,6,2,5,3,4]=>{{1,7},{2},{3,6},{4},{5}}=>[7,2,6,4,5,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,1,6,2,5,4,3]=>{{1,7},{2},{3,6},{4},{5}}=>[7,2,6,4,5,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,1,6,3,2,4,5]=>{{1,7},{2},{3,6},{4},{5}}=>[7,2,6,4,5,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,1,6,3,2,5,4]=>{{1,7},{2},{3,6},{4},{5}}=>[7,2,6,4,5,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,1,6,3,4,2,5]=>{{1,7},{2},{3,6},{4},{5}}=>[7,2,6,4,5,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,1,6,3,4,5,2]=>{{1,7},{2},{3,6},{4},{5}}=>[7,2,6,4,5,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,1,6,3,5,2,4]=>{{1,7},{2},{3,6},{4},{5}}=>[7,2,6,4,5,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,1,6,3,5,4,2]=>{{1,7},{2},{3,6},{4},{5}}=>[7,2,6,4,5,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,1,6,4,2,3,5]=>{{1,7},{2},{3,6},{4},{5}}=>[7,2,6,4,5,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,1,6,4,2,5,3]=>{{1,7},{2},{3,6},{4},{5}}=>[7,2,6,4,5,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,1,6,4,3,2,5]=>{{1,7},{2},{3,6},{4},{5}}=>[7,2,6,4,5,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,1,6,4,3,5,2]=>{{1,7},{2},{3,6},{4},{5}}=>[7,2,6,4,5,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,1,6,4,5,2,3]=>{{1,7},{2},{3,6},{4},{5}}=>[7,2,6,4,5,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,1,6,4,5,3,2]=>{{1,7},{2},{3,6},{4},{5}}=>[7,2,6,4,5,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,1,6,5,2,3,4]=>{{1,7},{2},{3,6},{4,5}}=>[7,2,6,5,4,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,1,6,5,2,4,3]=>{{1,7},{2},{3,6},{4,5}}=>[7,2,6,5,4,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,1,6,5,3,2,4]=>{{1,7},{2},{3,6},{4,5}}=>[7,2,6,5,4,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,1,6,5,3,4,2]=>{{1,7},{2},{3,6},{4,5}}=>[7,2,6,5,4,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,1,6,5,4,2,3]=>{{1,7},{2},{3,6},{4,5}}=>[7,2,6,5,4,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,1,6,5,4,3,2]=>{{1,7},{2},{3,6},{4,5}}=>[7,2,6,5,4,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,2,1,3,4,5,6]=>{{1,7},{2},{3},{4},{5},{6}}=>[7,2,3,4,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,2,1,3,4,6,5]=>{{1,7},{2},{3},{4},{5},{6}}=>[7,2,3,4,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,2,1,3,5,4,6]=>{{1,7},{2},{3},{4},{5},{6}}=>[7,2,3,4,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,2,1,3,5,6,4]=>{{1,7},{2},{3},{4},{5},{6}}=>[7,2,3,4,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,2,1,3,6,4,5]=>{{1,7},{2},{3},{4},{5,6}}=>[7,2,3,4,6,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,2,1,3,6,5,4]=>{{1,7},{2},{3},{4},{5,6}}=>[7,2,3,4,6,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,2,1,4,3,5,6]=>{{1,7},{2},{3},{4},{5},{6}}=>[7,2,3,4,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,2,1,4,3,6,5]=>{{1,7},{2},{3},{4},{5},{6}}=>[7,2,3,4,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,2,1,4,5,3,6]=>{{1,7},{2},{3},{4},{5},{6}}=>[7,2,3,4,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,2,1,4,5,6,3]=>{{1,7},{2},{3},{4},{5},{6}}=>[7,2,3,4,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,2,1,4,6,3,5]=>{{1,7},{2},{3},{4},{5,6}}=>[7,2,3,4,6,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,2,1,4,6,5,3]=>{{1,7},{2},{3},{4},{5,6}}=>[7,2,3,4,6,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,2,1,5,3,4,6]=>{{1,7},{2},{3},{4,5},{6}}=>[7,2,3,5,4,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,2,1,5,3,6,4]=>{{1,7},{2},{3},{4,5},{6}}=>[7,2,3,5,4,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,2,1,5,4,3,6]=>{{1,7},{2},{3},{4,5},{6}}=>[7,2,3,5,4,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,2,1,5,4,6,3]=>{{1,7},{2},{3},{4,5},{6}}=>[7,2,3,5,4,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,2,1,5,6,3,4]=>{{1,7},{2},{3},{4,5,6}}=>[7,2,3,5,6,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,2,1,5,6,4,3]=>{{1,7},{2},{3},{4,5,6}}=>[7,2,3,5,6,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,2,1,6,3,4,5]=>{{1,7},{2},{3},{4,6},{5}}=>[7,2,3,6,5,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,2,1,6,3,5,4]=>{{1,7},{2},{3},{4,6},{5}}=>[7,2,3,6,5,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,2,1,6,4,3,5]=>{{1,7},{2},{3},{4,6},{5}}=>[7,2,3,6,5,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,2,1,6,4,5,3]=>{{1,7},{2},{3},{4,6},{5}}=>[7,2,3,6,5,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,2,1,6,5,3,4]=>{{1,7},{2},{3},{4,6},{5}}=>[7,2,3,6,5,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,2,1,6,5,4,3]=>{{1,7},{2},{3},{4,6},{5}}=>[7,2,3,6,5,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,2,3,1,4,5,6]=>{{1,7},{2},{3},{4},{5},{6}}=>[7,2,3,4,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,2,3,1,4,6,5]=>{{1,7},{2},{3},{4},{5},{6}}=>[7,2,3,4,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,2,3,1,5,4,6]=>{{1,7},{2},{3},{4},{5},{6}}=>[7,2,3,4,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,2,3,1,5,6,4]=>{{1,7},{2},{3},{4},{5},{6}}=>[7,2,3,4,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,2,3,1,6,4,5]=>{{1,7},{2},{3},{4},{5,6}}=>[7,2,3,4,6,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,2,3,1,6,5,4]=>{{1,7},{2},{3},{4},{5,6}}=>[7,2,3,4,6,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,2,3,4,1,5,6]=>{{1,7},{2},{3},{4},{5},{6}}=>[7,2,3,4,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,2,3,4,1,6,5]=>{{1,7},{2},{3},{4},{5},{6}}=>[7,2,3,4,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,2,3,4,5,1,6]=>{{1,7},{2},{3},{4},{5},{6}}=>[7,2,3,4,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,2,3,4,5,6,1]=>{{1,7},{2},{3},{4},{5},{6}}=>[7,2,3,4,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,2,3,4,6,1,5]=>{{1,7},{2},{3},{4},{5,6}}=>[7,2,3,4,6,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,2,3,4,6,5,1]=>{{1,7},{2},{3},{4},{5,6}}=>[7,2,3,4,6,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,2,3,5,1,4,6]=>{{1,7},{2},{3},{4,5},{6}}=>[7,2,3,5,4,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,2,3,5,1,6,4]=>{{1,7},{2},{3},{4,5},{6}}=>[7,2,3,5,4,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,2,3,5,4,1,6]=>{{1,7},{2},{3},{4,5},{6}}=>[7,2,3,5,4,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,2,3,5,4,6,1]=>{{1,7},{2},{3},{4,5},{6}}=>[7,2,3,5,4,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,2,3,5,6,1,4]=>{{1,7},{2},{3},{4,5,6}}=>[7,2,3,5,6,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,2,3,5,6,4,1]=>{{1,7},{2},{3},{4,5,6}}=>[7,2,3,5,6,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,2,3,6,1,4,5]=>{{1,7},{2},{3},{4,6},{5}}=>[7,2,3,6,5,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,2,3,6,1,5,4]=>{{1,7},{2},{3},{4,6},{5}}=>[7,2,3,6,5,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,2,3,6,4,1,5]=>{{1,7},{2},{3},{4,6},{5}}=>[7,2,3,6,5,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,2,3,6,4,5,1]=>{{1,7},{2},{3},{4,6},{5}}=>[7,2,3,6,5,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,2,3,6,5,1,4]=>{{1,7},{2},{3},{4,6},{5}}=>[7,2,3,6,5,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,2,3,6,5,4,1]=>{{1,7},{2},{3},{4,6},{5}}=>[7,2,3,6,5,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,2,4,1,3,5,6]=>{{1,7},{2},{3,4},{5},{6}}=>[7,2,4,3,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,2,4,1,3,6,5]=>{{1,7},{2},{3,4},{5},{6}}=>[7,2,4,3,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,2,4,1,5,3,6]=>{{1,7},{2},{3,4},{5},{6}}=>[7,2,4,3,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,2,4,1,5,6,3]=>{{1,7},{2},{3,4},{5},{6}}=>[7,2,4,3,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,2,4,1,6,3,5]=>{{1,7},{2},{3,4},{5,6}}=>[7,2,4,3,6,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,2,4,1,6,5,3]=>{{1,7},{2},{3,4},{5,6}}=>[7,2,4,3,6,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,2,4,3,1,5,6]=>{{1,7},{2},{3,4},{5},{6}}=>[7,2,4,3,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,2,4,3,1,6,5]=>{{1,7},{2},{3,4},{5},{6}}=>[7,2,4,3,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,2,4,3,5,1,6]=>{{1,7},{2},{3,4},{5},{6}}=>[7,2,4,3,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,2,4,3,5,6,1]=>{{1,7},{2},{3,4},{5},{6}}=>[7,2,4,3,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,2,4,3,6,1,5]=>{{1,7},{2},{3,4},{5,6}}=>[7,2,4,3,6,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,2,4,3,6,5,1]=>{{1,7},{2},{3,4},{5,6}}=>[7,2,4,3,6,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,2,4,5,1,3,6]=>{{1,7},{2},{3,4,5},{6}}=>[7,2,4,5,3,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,2,4,5,1,6,3]=>{{1,7},{2},{3,4,5},{6}}=>[7,2,4,5,3,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,2,4,5,3,1,6]=>{{1,7},{2},{3,4,5},{6}}=>[7,2,4,5,3,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,2,4,5,3,6,1]=>{{1,7},{2},{3,4,5},{6}}=>[7,2,4,5,3,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,2,4,5,6,1,3]=>{{1,7},{2},{3,4,5,6}}=>[7,2,4,5,6,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,2,4,5,6,3,1]=>{{1,7},{2},{3,4,5,6}}=>[7,2,4,5,6,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,2,4,6,1,3,5]=>{{1,7},{2},{3,4,6},{5}}=>[7,2,4,6,5,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,2,4,6,1,5,3]=>{{1,7},{2},{3,4,6},{5}}=>[7,2,4,6,5,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,2,4,6,3,1,5]=>{{1,7},{2},{3,4,6},{5}}=>[7,2,4,6,5,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,2,4,6,3,5,1]=>{{1,7},{2},{3,4,6},{5}}=>[7,2,4,6,5,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,2,4,6,5,1,3]=>{{1,7},{2},{3,4,6},{5}}=>[7,2,4,6,5,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,2,4,6,5,3,1]=>{{1,7},{2},{3,4,6},{5}}=>[7,2,4,6,5,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,2,5,1,3,4,6]=>{{1,7},{2},{3,5},{4},{6}}=>[7,2,5,4,3,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,2,5,1,3,6,4]=>{{1,7},{2},{3,5},{4},{6}}=>[7,2,5,4,3,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,2,5,1,4,3,6]=>{{1,7},{2},{3,5},{4},{6}}=>[7,2,5,4,3,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,2,5,1,4,6,3]=>{{1,7},{2},{3,5},{4},{6}}=>[7,2,5,4,3,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,2,5,1,6,3,4]=>{{1,7},{2},{3,5,6},{4}}=>[7,2,5,4,6,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,2,5,1,6,4,3]=>{{1,7},{2},{3,5,6},{4}}=>[7,2,5,4,6,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,2,5,3,1,4,6]=>{{1,7},{2},{3,5},{4},{6}}=>[7,2,5,4,3,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,2,5,3,1,6,4]=>{{1,7},{2},{3,5},{4},{6}}=>[7,2,5,4,3,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,2,5,3,4,1,6]=>{{1,7},{2},{3,5},{4},{6}}=>[7,2,5,4,3,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,2,5,3,4,6,1]=>{{1,7},{2},{3,5},{4},{6}}=>[7,2,5,4,3,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,2,5,3,6,1,4]=>{{1,7},{2},{3,5,6},{4}}=>[7,2,5,4,6,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,2,5,3,6,4,1]=>{{1,7},{2},{3,5,6},{4}}=>[7,2,5,4,6,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,2,5,4,1,3,6]=>{{1,7},{2},{3,5},{4},{6}}=>[7,2,5,4,3,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,2,5,4,1,6,3]=>{{1,7},{2},{3,5},{4},{6}}=>[7,2,5,4,3,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,2,5,4,3,1,6]=>{{1,7},{2},{3,5},{4},{6}}=>[7,2,5,4,3,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,2,5,4,3,6,1]=>{{1,7},{2},{3,5},{4},{6}}=>[7,2,5,4,3,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,2,5,4,6,1,3]=>{{1,7},{2},{3,5,6},{4}}=>[7,2,5,4,6,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,2,5,4,6,3,1]=>{{1,7},{2},{3,5,6},{4}}=>[7,2,5,4,6,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,2,5,6,1,3,4]=>{{1,7},{2},{3,5},{4,6}}=>[7,2,5,6,3,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,2,5,6,1,4,3]=>{{1,7},{2},{3,5},{4,6}}=>[7,2,5,6,3,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,2,5,6,3,1,4]=>{{1,7},{2},{3,5},{4,6}}=>[7,2,5,6,3,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,2,5,6,3,4,1]=>{{1,7},{2},{3,5},{4,6}}=>[7,2,5,6,3,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,2,5,6,4,1,3]=>{{1,7},{2},{3,5},{4,6}}=>[7,2,5,6,3,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,2,5,6,4,3,1]=>{{1,7},{2},{3,5},{4,6}}=>[7,2,5,6,3,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,2,6,1,3,4,5]=>{{1,7},{2},{3,6},{4},{5}}=>[7,2,6,4,5,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,2,6,1,3,5,4]=>{{1,7},{2},{3,6},{4},{5}}=>[7,2,6,4,5,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,2,6,1,4,3,5]=>{{1,7},{2},{3,6},{4},{5}}=>[7,2,6,4,5,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,2,6,1,4,5,3]=>{{1,7},{2},{3,6},{4},{5}}=>[7,2,6,4,5,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,2,6,1,5,3,4]=>{{1,7},{2},{3,6},{4},{5}}=>[7,2,6,4,5,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,2,6,1,5,4,3]=>{{1,7},{2},{3,6},{4},{5}}=>[7,2,6,4,5,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,2,6,3,1,4,5]=>{{1,7},{2},{3,6},{4},{5}}=>[7,2,6,4,5,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,2,6,3,1,5,4]=>{{1,7},{2},{3,6},{4},{5}}=>[7,2,6,4,5,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,2,6,3,4,1,5]=>{{1,7},{2},{3,6},{4},{5}}=>[7,2,6,4,5,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,2,6,3,4,5,1]=>{{1,7},{2},{3,6},{4},{5}}=>[7,2,6,4,5,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,2,6,3,5,1,4]=>{{1,7},{2},{3,6},{4},{5}}=>[7,2,6,4,5,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,2,6,3,5,4,1]=>{{1,7},{2},{3,6},{4},{5}}=>[7,2,6,4,5,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,2,6,4,1,3,5]=>{{1,7},{2},{3,6},{4},{5}}=>[7,2,6,4,5,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,2,6,4,1,5,3]=>{{1,7},{2},{3,6},{4},{5}}=>[7,2,6,4,5,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,2,6,4,3,1,5]=>{{1,7},{2},{3,6},{4},{5}}=>[7,2,6,4,5,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,2,6,4,3,5,1]=>{{1,7},{2},{3,6},{4},{5}}=>[7,2,6,4,5,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,2,6,4,5,1,3]=>{{1,7},{2},{3,6},{4},{5}}=>[7,2,6,4,5,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,2,6,4,5,3,1]=>{{1,7},{2},{3,6},{4},{5}}=>[7,2,6,4,5,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,2,6,5,1,3,4]=>{{1,7},{2},{3,6},{4,5}}=>[7,2,6,5,4,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,2,6,5,1,4,3]=>{{1,7},{2},{3,6},{4,5}}=>[7,2,6,5,4,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,2,6,5,3,1,4]=>{{1,7},{2},{3,6},{4,5}}=>[7,2,6,5,4,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,2,6,5,3,4,1]=>{{1,7},{2},{3,6},{4,5}}=>[7,2,6,5,4,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,2,6,5,4,1,3]=>{{1,7},{2},{3,6},{4,5}}=>[7,2,6,5,4,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>[7,2,6,5,4,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,3,1,2,4,5,6]=>{{1,7},{2,3},{4},{5},{6}}=>[7,3,2,4,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,3,1,2,4,6,5]=>{{1,7},{2,3},{4},{5},{6}}=>[7,3,2,4,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,3,1,2,5,4,6]=>{{1,7},{2,3},{4},{5},{6}}=>[7,3,2,4,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,3,1,2,5,6,4]=>{{1,7},{2,3},{4},{5},{6}}=>[7,3,2,4,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,3,1,2,6,4,5]=>{{1,7},{2,3},{4},{5,6}}=>[7,3,2,4,6,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,3,1,2,6,5,4]=>{{1,7},{2,3},{4},{5,6}}=>[7,3,2,4,6,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,3,1,4,2,5,6]=>{{1,7},{2,3},{4},{5},{6}}=>[7,3,2,4,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,3,1,4,2,6,5]=>{{1,7},{2,3},{4},{5},{6}}=>[7,3,2,4,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,3,1,4,5,2,6]=>{{1,7},{2,3},{4},{5},{6}}=>[7,3,2,4,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,3,1,4,5,6,2]=>{{1,7},{2,3},{4},{5},{6}}=>[7,3,2,4,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,3,1,4,6,2,5]=>{{1,7},{2,3},{4},{5,6}}=>[7,3,2,4,6,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,3,1,4,6,5,2]=>{{1,7},{2,3},{4},{5,6}}=>[7,3,2,4,6,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,3,1,5,2,4,6]=>{{1,7},{2,3},{4,5},{6}}=>[7,3,2,5,4,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,3,1,5,2,6,4]=>{{1,7},{2,3},{4,5},{6}}=>[7,3,2,5,4,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,3,1,5,4,2,6]=>{{1,7},{2,3},{4,5},{6}}=>[7,3,2,5,4,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,3,1,5,4,6,2]=>{{1,7},{2,3},{4,5},{6}}=>[7,3,2,5,4,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,3,1,5,6,2,4]=>{{1,7},{2,3},{4,5,6}}=>[7,3,2,5,6,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,3,1,5,6,4,2]=>{{1,7},{2,3},{4,5,6}}=>[7,3,2,5,6,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,3,1,6,2,4,5]=>{{1,7},{2,3},{4,6},{5}}=>[7,3,2,6,5,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,3,1,6,2,5,4]=>{{1,7},{2,3},{4,6},{5}}=>[7,3,2,6,5,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,3,1,6,4,2,5]=>{{1,7},{2,3},{4,6},{5}}=>[7,3,2,6,5,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,3,1,6,4,5,2]=>{{1,7},{2,3},{4,6},{5}}=>[7,3,2,6,5,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,3,1,6,5,2,4]=>{{1,7},{2,3},{4,6},{5}}=>[7,3,2,6,5,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,3,1,6,5,4,2]=>{{1,7},{2,3},{4,6},{5}}=>[7,3,2,6,5,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,3,2,1,4,5,6]=>{{1,7},{2,3},{4},{5},{6}}=>[7,3,2,4,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,3,2,1,4,6,5]=>{{1,7},{2,3},{4},{5},{6}}=>[7,3,2,4,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,3,2,1,5,4,6]=>{{1,7},{2,3},{4},{5},{6}}=>[7,3,2,4,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,3,2,1,5,6,4]=>{{1,7},{2,3},{4},{5},{6}}=>[7,3,2,4,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,3,2,1,6,4,5]=>{{1,7},{2,3},{4},{5,6}}=>[7,3,2,4,6,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,3,2,1,6,5,4]=>{{1,7},{2,3},{4},{5,6}}=>[7,3,2,4,6,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,3,2,4,1,5,6]=>{{1,7},{2,3},{4},{5},{6}}=>[7,3,2,4,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,3,2,4,1,6,5]=>{{1,7},{2,3},{4},{5},{6}}=>[7,3,2,4,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,3,2,4,5,1,6]=>{{1,7},{2,3},{4},{5},{6}}=>[7,3,2,4,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,3,2,4,5,6,1]=>{{1,7},{2,3},{4},{5},{6}}=>[7,3,2,4,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,3,2,4,6,1,5]=>{{1,7},{2,3},{4},{5,6}}=>[7,3,2,4,6,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,3,2,4,6,5,1]=>{{1,7},{2,3},{4},{5,6}}=>[7,3,2,4,6,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,3,2,5,1,4,6]=>{{1,7},{2,3},{4,5},{6}}=>[7,3,2,5,4,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,3,2,5,1,6,4]=>{{1,7},{2,3},{4,5},{6}}=>[7,3,2,5,4,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,3,2,5,4,1,6]=>{{1,7},{2,3},{4,5},{6}}=>[7,3,2,5,4,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,3,2,5,4,6,1]=>{{1,7},{2,3},{4,5},{6}}=>[7,3,2,5,4,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,3,2,5,6,1,4]=>{{1,7},{2,3},{4,5,6}}=>[7,3,2,5,6,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,3,2,5,6,4,1]=>{{1,7},{2,3},{4,5,6}}=>[7,3,2,5,6,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,3,2,6,1,4,5]=>{{1,7},{2,3},{4,6},{5}}=>[7,3,2,6,5,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,3,2,6,1,5,4]=>{{1,7},{2,3},{4,6},{5}}=>[7,3,2,6,5,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,3,2,6,4,1,5]=>{{1,7},{2,3},{4,6},{5}}=>[7,3,2,6,5,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,3,2,6,4,5,1]=>{{1,7},{2,3},{4,6},{5}}=>[7,3,2,6,5,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,3,2,6,5,1,4]=>{{1,7},{2,3},{4,6},{5}}=>[7,3,2,6,5,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,3,2,6,5,4,1]=>{{1,7},{2,3},{4,6},{5}}=>[7,3,2,6,5,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,3,4,1,2,5,6]=>{{1,7},{2,3,4},{5},{6}}=>[7,3,4,2,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,3,4,1,2,6,5]=>{{1,7},{2,3,4},{5},{6}}=>[7,3,4,2,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,3,4,1,5,2,6]=>{{1,7},{2,3,4},{5},{6}}=>[7,3,4,2,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,3,4,1,5,6,2]=>{{1,7},{2,3,4},{5},{6}}=>[7,3,4,2,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,3,4,1,6,2,5]=>{{1,7},{2,3,4},{5,6}}=>[7,3,4,2,6,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,3,4,1,6,5,2]=>{{1,7},{2,3,4},{5,6}}=>[7,3,4,2,6,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,3,4,2,1,5,6]=>{{1,7},{2,3,4},{5},{6}}=>[7,3,4,2,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,3,4,2,1,6,5]=>{{1,7},{2,3,4},{5},{6}}=>[7,3,4,2,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,3,4,2,5,1,6]=>{{1,7},{2,3,4},{5},{6}}=>[7,3,4,2,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,3,4,2,5,6,1]=>{{1,7},{2,3,4},{5},{6}}=>[7,3,4,2,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,3,4,2,6,1,5]=>{{1,7},{2,3,4},{5,6}}=>[7,3,4,2,6,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,3,4,2,6,5,1]=>{{1,7},{2,3,4},{5,6}}=>[7,3,4,2,6,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,3,4,5,1,2,6]=>{{1,7},{2,3,4,5},{6}}=>[7,3,4,5,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,3,4,5,1,6,2]=>{{1,7},{2,3,4,5},{6}}=>[7,3,4,5,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,3,4,5,2,1,6]=>{{1,7},{2,3,4,5},{6}}=>[7,3,4,5,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,3,4,5,2,6,1]=>{{1,7},{2,3,4,5},{6}}=>[7,3,4,5,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,3,4,5,6,1,2]=>{{1,7},{2,3,4,5,6}}=>[7,3,4,5,6,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,3,4,5,6,2,1]=>{{1,7},{2,3,4,5,6}}=>[7,3,4,5,6,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,3,4,6,1,2,5]=>{{1,7},{2,3,4,6},{5}}=>[7,3,4,6,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,3,4,6,1,5,2]=>{{1,7},{2,3,4,6},{5}}=>[7,3,4,6,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,3,4,6,2,1,5]=>{{1,7},{2,3,4,6},{5}}=>[7,3,4,6,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,3,4,6,2,5,1]=>{{1,7},{2,3,4,6},{5}}=>[7,3,4,6,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,3,4,6,5,1,2]=>{{1,7},{2,3,4,6},{5}}=>[7,3,4,6,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,3,4,6,5,2,1]=>{{1,7},{2,3,4,6},{5}}=>[7,3,4,6,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,3,5,1,2,4,6]=>{{1,7},{2,3,5},{4},{6}}=>[7,3,5,4,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,3,5,1,2,6,4]=>{{1,7},{2,3,5},{4},{6}}=>[7,3,5,4,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,3,5,1,4,2,6]=>{{1,7},{2,3,5},{4},{6}}=>[7,3,5,4,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,3,5,1,4,6,2]=>{{1,7},{2,3,5},{4},{6}}=>[7,3,5,4,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,3,5,1,6,2,4]=>{{1,7},{2,3,5,6},{4}}=>[7,3,5,4,6,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,3,5,1,6,4,2]=>{{1,7},{2,3,5,6},{4}}=>[7,3,5,4,6,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,3,5,2,1,4,6]=>{{1,7},{2,3,5},{4},{6}}=>[7,3,5,4,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,3,5,2,1,6,4]=>{{1,7},{2,3,5},{4},{6}}=>[7,3,5,4,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,3,5,2,4,1,6]=>{{1,7},{2,3,5},{4},{6}}=>[7,3,5,4,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,3,5,2,4,6,1]=>{{1,7},{2,3,5},{4},{6}}=>[7,3,5,4,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,3,5,2,6,1,4]=>{{1,7},{2,3,5,6},{4}}=>[7,3,5,4,6,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,3,5,2,6,4,1]=>{{1,7},{2,3,5,6},{4}}=>[7,3,5,4,6,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,3,5,4,1,2,6]=>{{1,7},{2,3,5},{4},{6}}=>[7,3,5,4,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,3,5,4,1,6,2]=>{{1,7},{2,3,5},{4},{6}}=>[7,3,5,4,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,3,5,4,2,1,6]=>{{1,7},{2,3,5},{4},{6}}=>[7,3,5,4,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,3,5,4,2,6,1]=>{{1,7},{2,3,5},{4},{6}}=>[7,3,5,4,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,3,5,4,6,1,2]=>{{1,7},{2,3,5,6},{4}}=>[7,3,5,4,6,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,3,5,4,6,2,1]=>{{1,7},{2,3,5,6},{4}}=>[7,3,5,4,6,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,3,5,6,1,2,4]=>{{1,7},{2,3,5},{4,6}}=>[7,3,5,6,2,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,3,5,6,1,4,2]=>{{1,7},{2,3,5},{4,6}}=>[7,3,5,6,2,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,3,5,6,2,1,4]=>{{1,7},{2,3,5},{4,6}}=>[7,3,5,6,2,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,3,5,6,2,4,1]=>{{1,7},{2,3,5},{4,6}}=>[7,3,5,6,2,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,3,5,6,4,1,2]=>{{1,7},{2,3,5},{4,6}}=>[7,3,5,6,2,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,3,5,6,4,2,1]=>{{1,7},{2,3,5},{4,6}}=>[7,3,5,6,2,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,3,6,1,2,4,5]=>{{1,7},{2,3,6},{4},{5}}=>[7,3,6,4,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,3,6,1,2,5,4]=>{{1,7},{2,3,6},{4},{5}}=>[7,3,6,4,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,3,6,1,4,2,5]=>{{1,7},{2,3,6},{4},{5}}=>[7,3,6,4,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,3,6,1,4,5,2]=>{{1,7},{2,3,6},{4},{5}}=>[7,3,6,4,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,3,6,1,5,2,4]=>{{1,7},{2,3,6},{4},{5}}=>[7,3,6,4,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,3,6,1,5,4,2]=>{{1,7},{2,3,6},{4},{5}}=>[7,3,6,4,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,3,6,2,1,4,5]=>{{1,7},{2,3,6},{4},{5}}=>[7,3,6,4,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,3,6,2,1,5,4]=>{{1,7},{2,3,6},{4},{5}}=>[7,3,6,4,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,3,6,2,4,1,5]=>{{1,7},{2,3,6},{4},{5}}=>[7,3,6,4,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,3,6,2,4,5,1]=>{{1,7},{2,3,6},{4},{5}}=>[7,3,6,4,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,3,6,2,5,1,4]=>{{1,7},{2,3,6},{4},{5}}=>[7,3,6,4,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,3,6,2,5,4,1]=>{{1,7},{2,3,6},{4},{5}}=>[7,3,6,4,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,3,6,4,1,2,5]=>{{1,7},{2,3,6},{4},{5}}=>[7,3,6,4,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,3,6,4,1,5,2]=>{{1,7},{2,3,6},{4},{5}}=>[7,3,6,4,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,3,6,4,2,1,5]=>{{1,7},{2,3,6},{4},{5}}=>[7,3,6,4,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,3,6,4,2,5,1]=>{{1,7},{2,3,6},{4},{5}}=>[7,3,6,4,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,3,6,4,5,1,2]=>{{1,7},{2,3,6},{4},{5}}=>[7,3,6,4,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,3,6,4,5,2,1]=>{{1,7},{2,3,6},{4},{5}}=>[7,3,6,4,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,3,6,5,1,2,4]=>{{1,7},{2,3,6},{4,5}}=>[7,3,6,5,4,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,3,6,5,1,4,2]=>{{1,7},{2,3,6},{4,5}}=>[7,3,6,5,4,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,3,6,5,2,1,4]=>{{1,7},{2,3,6},{4,5}}=>[7,3,6,5,4,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,3,6,5,2,4,1]=>{{1,7},{2,3,6},{4,5}}=>[7,3,6,5,4,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,3,6,5,4,1,2]=>{{1,7},{2,3,6},{4,5}}=>[7,3,6,5,4,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,3,6,5,4,2,1]=>{{1,7},{2,3,6},{4,5}}=>[7,3,6,5,4,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,4,1,2,3,5,6]=>{{1,7},{2,4},{3},{5},{6}}=>[7,4,3,2,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,4,1,2,3,6,5]=>{{1,7},{2,4},{3},{5},{6}}=>[7,4,3,2,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,4,1,2,5,3,6]=>{{1,7},{2,4},{3},{5},{6}}=>[7,4,3,2,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,4,1,2,5,6,3]=>{{1,7},{2,4},{3},{5},{6}}=>[7,4,3,2,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,4,1,2,6,3,5]=>{{1,7},{2,4},{3},{5,6}}=>[7,4,3,2,6,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,4,1,2,6,5,3]=>{{1,7},{2,4},{3},{5,6}}=>[7,4,3,2,6,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,4,1,3,2,5,6]=>{{1,7},{2,4},{3},{5},{6}}=>[7,4,3,2,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,4,1,3,2,6,5]=>{{1,7},{2,4},{3},{5},{6}}=>[7,4,3,2,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,4,1,3,5,2,6]=>{{1,7},{2,4},{3},{5},{6}}=>[7,4,3,2,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,4,1,3,5,6,2]=>{{1,7},{2,4},{3},{5},{6}}=>[7,4,3,2,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,4,1,3,6,2,5]=>{{1,7},{2,4},{3},{5,6}}=>[7,4,3,2,6,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,4,1,3,6,5,2]=>{{1,7},{2,4},{3},{5,6}}=>[7,4,3,2,6,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,4,1,5,2,3,6]=>{{1,7},{2,4,5},{3},{6}}=>[7,4,3,5,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,4,1,5,2,6,3]=>{{1,7},{2,4,5},{3},{6}}=>[7,4,3,5,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,4,1,5,3,2,6]=>{{1,7},{2,4,5},{3},{6}}=>[7,4,3,5,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,4,1,5,3,6,2]=>{{1,7},{2,4,5},{3},{6}}=>[7,4,3,5,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,4,1,5,6,2,3]=>{{1,7},{2,4,5,6},{3}}=>[7,4,3,5,6,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,4,1,5,6,3,2]=>{{1,7},{2,4,5,6},{3}}=>[7,4,3,5,6,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,4,1,6,2,3,5]=>{{1,7},{2,4,6},{3},{5}}=>[7,4,3,6,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,4,1,6,2,5,3]=>{{1,7},{2,4,6},{3},{5}}=>[7,4,3,6,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,4,1,6,3,2,5]=>{{1,7},{2,4,6},{3},{5}}=>[7,4,3,6,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,4,1,6,3,5,2]=>{{1,7},{2,4,6},{3},{5}}=>[7,4,3,6,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,4,1,6,5,2,3]=>{{1,7},{2,4,6},{3},{5}}=>[7,4,3,6,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,4,1,6,5,3,2]=>{{1,7},{2,4,6},{3},{5}}=>[7,4,3,6,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,4,2,1,3,5,6]=>{{1,7},{2,4},{3},{5},{6}}=>[7,4,3,2,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,4,2,1,3,6,5]=>{{1,7},{2,4},{3},{5},{6}}=>[7,4,3,2,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,4,2,1,5,3,6]=>{{1,7},{2,4},{3},{5},{6}}=>[7,4,3,2,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,4,2,1,5,6,3]=>{{1,7},{2,4},{3},{5},{6}}=>[7,4,3,2,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,4,2,1,6,3,5]=>{{1,7},{2,4},{3},{5,6}}=>[7,4,3,2,6,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,4,2,1,6,5,3]=>{{1,7},{2,4},{3},{5,6}}=>[7,4,3,2,6,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,4,2,3,1,5,6]=>{{1,7},{2,4},{3},{5},{6}}=>[7,4,3,2,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,4,2,3,1,6,5]=>{{1,7},{2,4},{3},{5},{6}}=>[7,4,3,2,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,4,2,3,5,1,6]=>{{1,7},{2,4},{3},{5},{6}}=>[7,4,3,2,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,4,2,3,5,6,1]=>{{1,7},{2,4},{3},{5},{6}}=>[7,4,3,2,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,4,2,3,6,1,5]=>{{1,7},{2,4},{3},{5,6}}=>[7,4,3,2,6,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,4,2,3,6,5,1]=>{{1,7},{2,4},{3},{5,6}}=>[7,4,3,2,6,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,4,2,5,1,3,6]=>{{1,7},{2,4,5},{3},{6}}=>[7,4,3,5,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,4,2,5,1,6,3]=>{{1,7},{2,4,5},{3},{6}}=>[7,4,3,5,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,4,2,5,3,1,6]=>{{1,7},{2,4,5},{3},{6}}=>[7,4,3,5,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,4,2,5,3,6,1]=>{{1,7},{2,4,5},{3},{6}}=>[7,4,3,5,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,4,2,5,6,1,3]=>{{1,7},{2,4,5,6},{3}}=>[7,4,3,5,6,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,4,2,5,6,3,1]=>{{1,7},{2,4,5,6},{3}}=>[7,4,3,5,6,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,4,2,6,1,3,5]=>{{1,7},{2,4,6},{3},{5}}=>[7,4,3,6,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,4,2,6,1,5,3]=>{{1,7},{2,4,6},{3},{5}}=>[7,4,3,6,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,4,2,6,3,1,5]=>{{1,7},{2,4,6},{3},{5}}=>[7,4,3,6,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,4,2,6,3,5,1]=>{{1,7},{2,4,6},{3},{5}}=>[7,4,3,6,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,4,2,6,5,1,3]=>{{1,7},{2,4,6},{3},{5}}=>[7,4,3,6,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,4,2,6,5,3,1]=>{{1,7},{2,4,6},{3},{5}}=>[7,4,3,6,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,4,3,1,2,5,6]=>{{1,7},{2,4},{3},{5},{6}}=>[7,4,3,2,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,4,3,1,2,6,5]=>{{1,7},{2,4},{3},{5},{6}}=>[7,4,3,2,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,4,3,1,5,2,6]=>{{1,7},{2,4},{3},{5},{6}}=>[7,4,3,2,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,4,3,1,5,6,2]=>{{1,7},{2,4},{3},{5},{6}}=>[7,4,3,2,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,4,3,1,6,2,5]=>{{1,7},{2,4},{3},{5,6}}=>[7,4,3,2,6,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,4,3,1,6,5,2]=>{{1,7},{2,4},{3},{5,6}}=>[7,4,3,2,6,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,4,3,2,1,5,6]=>{{1,7},{2,4},{3},{5},{6}}=>[7,4,3,2,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,4,3,2,1,6,5]=>{{1,7},{2,4},{3},{5},{6}}=>[7,4,3,2,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,4,3,2,5,1,6]=>{{1,7},{2,4},{3},{5},{6}}=>[7,4,3,2,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,4,3,2,5,6,1]=>{{1,7},{2,4},{3},{5},{6}}=>[7,4,3,2,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,4,3,2,6,1,5]=>{{1,7},{2,4},{3},{5,6}}=>[7,4,3,2,6,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,4,3,2,6,5,1]=>{{1,7},{2,4},{3},{5,6}}=>[7,4,3,2,6,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,4,3,5,1,2,6]=>{{1,7},{2,4,5},{3},{6}}=>[7,4,3,5,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,4,3,5,1,6,2]=>{{1,7},{2,4,5},{3},{6}}=>[7,4,3,5,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,4,3,5,2,1,6]=>{{1,7},{2,4,5},{3},{6}}=>[7,4,3,5,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,4,3,5,2,6,1]=>{{1,7},{2,4,5},{3},{6}}=>[7,4,3,5,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,4,3,5,6,1,2]=>{{1,7},{2,4,5,6},{3}}=>[7,4,3,5,6,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,4,3,5,6,2,1]=>{{1,7},{2,4,5,6},{3}}=>[7,4,3,5,6,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,4,3,6,1,2,5]=>{{1,7},{2,4,6},{3},{5}}=>[7,4,3,6,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,4,3,6,1,5,2]=>{{1,7},{2,4,6},{3},{5}}=>[7,4,3,6,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,4,3,6,2,1,5]=>{{1,7},{2,4,6},{3},{5}}=>[7,4,3,6,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,4,3,6,2,5,1]=>{{1,7},{2,4,6},{3},{5}}=>[7,4,3,6,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,4,3,6,5,1,2]=>{{1,7},{2,4,6},{3},{5}}=>[7,4,3,6,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,4,3,6,5,2,1]=>{{1,7},{2,4,6},{3},{5}}=>[7,4,3,6,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,4,5,1,2,3,6]=>{{1,7},{2,4},{3,5},{6}}=>[7,4,5,2,3,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,4,5,1,2,6,3]=>{{1,7},{2,4},{3,5},{6}}=>[7,4,5,2,3,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,4,5,1,3,2,6]=>{{1,7},{2,4},{3,5},{6}}=>[7,4,5,2,3,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,4,5,1,3,6,2]=>{{1,7},{2,4},{3,5},{6}}=>[7,4,5,2,3,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,4,5,1,6,2,3]=>{{1,7},{2,4},{3,5,6}}=>[7,4,5,2,6,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,4,5,1,6,3,2]=>{{1,7},{2,4},{3,5,6}}=>[7,4,5,2,6,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,4,5,2,1,3,6]=>{{1,7},{2,4},{3,5},{6}}=>[7,4,5,2,3,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,4,5,2,1,6,3]=>{{1,7},{2,4},{3,5},{6}}=>[7,4,5,2,3,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,4,5,2,3,1,6]=>{{1,7},{2,4},{3,5},{6}}=>[7,4,5,2,3,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,4,5,2,3,6,1]=>{{1,7},{2,4},{3,5},{6}}=>[7,4,5,2,3,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,4,5,2,6,1,3]=>{{1,7},{2,4},{3,5,6}}=>[7,4,5,2,6,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,4,5,2,6,3,1]=>{{1,7},{2,4},{3,5,6}}=>[7,4,5,2,6,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,4,5,3,1,2,6]=>{{1,7},{2,4},{3,5},{6}}=>[7,4,5,2,3,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,4,5,3,1,6,2]=>{{1,7},{2,4},{3,5},{6}}=>[7,4,5,2,3,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,4,5,3,2,1,6]=>{{1,7},{2,4},{3,5},{6}}=>[7,4,5,2,3,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,4,5,3,2,6,1]=>{{1,7},{2,4},{3,5},{6}}=>[7,4,5,2,3,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,4,5,3,6,1,2]=>{{1,7},{2,4},{3,5,6}}=>[7,4,5,2,6,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,4,5,3,6,2,1]=>{{1,7},{2,4},{3,5,6}}=>[7,4,5,2,6,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,4,5,6,1,2,3]=>{{1,7},{2,4,6},{3,5}}=>[7,4,5,6,3,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,4,5,6,1,3,2]=>{{1,7},{2,4,6},{3,5}}=>[7,4,5,6,3,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,4,5,6,2,1,3]=>{{1,7},{2,4,6},{3,5}}=>[7,4,5,6,3,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,4,5,6,2,3,1]=>{{1,7},{2,4,6},{3,5}}=>[7,4,5,6,3,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,4,5,6,3,1,2]=>{{1,7},{2,4,6},{3,5}}=>[7,4,5,6,3,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,4,5,6,3,2,1]=>{{1,7},{2,4,6},{3,5}}=>[7,4,5,6,3,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,4,6,1,2,3,5]=>{{1,7},{2,4},{3,6},{5}}=>[7,4,6,2,5,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,4,6,1,2,5,3]=>{{1,7},{2,4},{3,6},{5}}=>[7,4,6,2,5,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,4,6,1,3,2,5]=>{{1,7},{2,4},{3,6},{5}}=>[7,4,6,2,5,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,4,6,1,3,5,2]=>{{1,7},{2,4},{3,6},{5}}=>[7,4,6,2,5,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,4,6,1,5,2,3]=>{{1,7},{2,4},{3,6},{5}}=>[7,4,6,2,5,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,4,6,1,5,3,2]=>{{1,7},{2,4},{3,6},{5}}=>[7,4,6,2,5,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,4,6,2,1,3,5]=>{{1,7},{2,4},{3,6},{5}}=>[7,4,6,2,5,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,4,6,2,1,5,3]=>{{1,7},{2,4},{3,6},{5}}=>[7,4,6,2,5,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,4,6,2,3,1,5]=>{{1,7},{2,4},{3,6},{5}}=>[7,4,6,2,5,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,4,6,2,3,5,1]=>{{1,7},{2,4},{3,6},{5}}=>[7,4,6,2,5,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,4,6,2,5,1,3]=>{{1,7},{2,4},{3,6},{5}}=>[7,4,6,2,5,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,4,6,2,5,3,1]=>{{1,7},{2,4},{3,6},{5}}=>[7,4,6,2,5,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,4,6,3,1,2,5]=>{{1,7},{2,4},{3,6},{5}}=>[7,4,6,2,5,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,4,6,3,1,5,2]=>{{1,7},{2,4},{3,6},{5}}=>[7,4,6,2,5,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,4,6,3,2,1,5]=>{{1,7},{2,4},{3,6},{5}}=>[7,4,6,2,5,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,4,6,3,2,5,1]=>{{1,7},{2,4},{3,6},{5}}=>[7,4,6,2,5,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,4,6,3,5,1,2]=>{{1,7},{2,4},{3,6},{5}}=>[7,4,6,2,5,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,4,6,3,5,2,1]=>{{1,7},{2,4},{3,6},{5}}=>[7,4,6,2,5,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,4,6,5,1,2,3]=>{{1,7},{2,4,5},{3,6}}=>[7,4,6,5,2,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,4,6,5,1,3,2]=>{{1,7},{2,4,5},{3,6}}=>[7,4,6,5,2,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,4,6,5,2,1,3]=>{{1,7},{2,4,5},{3,6}}=>[7,4,6,5,2,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,4,6,5,2,3,1]=>{{1,7},{2,4,5},{3,6}}=>[7,4,6,5,2,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,4,6,5,3,1,2]=>{{1,7},{2,4,5},{3,6}}=>[7,4,6,5,2,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,4,6,5,3,2,1]=>{{1,7},{2,4,5},{3,6}}=>[7,4,6,5,2,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,5,1,2,3,4,6]=>{{1,7},{2,5},{3},{4},{6}}=>[7,5,3,4,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,5,1,2,3,6,4]=>{{1,7},{2,5},{3},{4},{6}}=>[7,5,3,4,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,5,1,2,4,3,6]=>{{1,7},{2,5},{3},{4},{6}}=>[7,5,3,4,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,5,1,2,4,6,3]=>{{1,7},{2,5},{3},{4},{6}}=>[7,5,3,4,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,5,1,2,6,3,4]=>{{1,7},{2,5,6},{3},{4}}=>[7,5,3,4,6,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,5,1,2,6,4,3]=>{{1,7},{2,5,6},{3},{4}}=>[7,5,3,4,6,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,5,1,3,2,4,6]=>{{1,7},{2,5},{3},{4},{6}}=>[7,5,3,4,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,5,1,3,2,6,4]=>{{1,7},{2,5},{3},{4},{6}}=>[7,5,3,4,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,5,1,3,4,2,6]=>{{1,7},{2,5},{3},{4},{6}}=>[7,5,3,4,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,5,1,3,4,6,2]=>{{1,7},{2,5},{3},{4},{6}}=>[7,5,3,4,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,5,1,3,6,2,4]=>{{1,7},{2,5,6},{3},{4}}=>[7,5,3,4,6,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,5,1,3,6,4,2]=>{{1,7},{2,5,6},{3},{4}}=>[7,5,3,4,6,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,5,1,4,2,3,6]=>{{1,7},{2,5},{3},{4},{6}}=>[7,5,3,4,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,5,1,4,2,6,3]=>{{1,7},{2,5},{3},{4},{6}}=>[7,5,3,4,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,5,1,4,3,2,6]=>{{1,7},{2,5},{3},{4},{6}}=>[7,5,3,4,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,5,1,4,3,6,2]=>{{1,7},{2,5},{3},{4},{6}}=>[7,5,3,4,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,5,1,4,6,2,3]=>{{1,7},{2,5,6},{3},{4}}=>[7,5,3,4,6,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,5,1,4,6,3,2]=>{{1,7},{2,5,6},{3},{4}}=>[7,5,3,4,6,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,5,1,6,2,3,4]=>{{1,7},{2,5},{3},{4,6}}=>[7,5,3,6,2,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,5,1,6,2,4,3]=>{{1,7},{2,5},{3},{4,6}}=>[7,5,3,6,2,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,5,1,6,3,2,4]=>{{1,7},{2,5},{3},{4,6}}=>[7,5,3,6,2,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,5,1,6,3,4,2]=>{{1,7},{2,5},{3},{4,6}}=>[7,5,3,6,2,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,5,1,6,4,2,3]=>{{1,7},{2,5},{3},{4,6}}=>[7,5,3,6,2,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,5,1,6,4,3,2]=>{{1,7},{2,5},{3},{4,6}}=>[7,5,3,6,2,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,5,2,1,3,4,6]=>{{1,7},{2,5},{3},{4},{6}}=>[7,5,3,4,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,5,2,1,3,6,4]=>{{1,7},{2,5},{3},{4},{6}}=>[7,5,3,4,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,5,2,1,4,3,6]=>{{1,7},{2,5},{3},{4},{6}}=>[7,5,3,4,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,5,2,1,4,6,3]=>{{1,7},{2,5},{3},{4},{6}}=>[7,5,3,4,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,5,2,1,6,3,4]=>{{1,7},{2,5,6},{3},{4}}=>[7,5,3,4,6,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,5,2,1,6,4,3]=>{{1,7},{2,5,6},{3},{4}}=>[7,5,3,4,6,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,5,2,3,1,4,6]=>{{1,7},{2,5},{3},{4},{6}}=>[7,5,3,4,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,5,2,3,1,6,4]=>{{1,7},{2,5},{3},{4},{6}}=>[7,5,3,4,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,5,2,3,4,1,6]=>{{1,7},{2,5},{3},{4},{6}}=>[7,5,3,4,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,5,2,3,4,6,1]=>{{1,7},{2,5},{3},{4},{6}}=>[7,5,3,4,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,5,2,3,6,1,4]=>{{1,7},{2,5,6},{3},{4}}=>[7,5,3,4,6,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,5,2,3,6,4,1]=>{{1,7},{2,5,6},{3},{4}}=>[7,5,3,4,6,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,5,2,4,1,3,6]=>{{1,7},{2,5},{3},{4},{6}}=>[7,5,3,4,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,5,2,4,1,6,3]=>{{1,7},{2,5},{3},{4},{6}}=>[7,5,3,4,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,5,2,4,3,1,6]=>{{1,7},{2,5},{3},{4},{6}}=>[7,5,3,4,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,5,2,4,3,6,1]=>{{1,7},{2,5},{3},{4},{6}}=>[7,5,3,4,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,5,2,4,6,1,3]=>{{1,7},{2,5,6},{3},{4}}=>[7,5,3,4,6,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,5,2,4,6,3,1]=>{{1,7},{2,5,6},{3},{4}}=>[7,5,3,4,6,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,5,2,6,1,3,4]=>{{1,7},{2,5},{3},{4,6}}=>[7,5,3,6,2,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,5,2,6,1,4,3]=>{{1,7},{2,5},{3},{4,6}}=>[7,5,3,6,2,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,5,2,6,3,1,4]=>{{1,7},{2,5},{3},{4,6}}=>[7,5,3,6,2,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,5,2,6,3,4,1]=>{{1,7},{2,5},{3},{4,6}}=>[7,5,3,6,2,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,5,2,6,4,1,3]=>{{1,7},{2,5},{3},{4,6}}=>[7,5,3,6,2,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,5,2,6,4,3,1]=>{{1,7},{2,5},{3},{4,6}}=>[7,5,3,6,2,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,5,3,1,2,4,6]=>{{1,7},{2,5},{3},{4},{6}}=>[7,5,3,4,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,5,3,1,2,6,4]=>{{1,7},{2,5},{3},{4},{6}}=>[7,5,3,4,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,5,3,1,4,2,6]=>{{1,7},{2,5},{3},{4},{6}}=>[7,5,3,4,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,5,3,1,4,6,2]=>{{1,7},{2,5},{3},{4},{6}}=>[7,5,3,4,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,5,3,1,6,2,4]=>{{1,7},{2,5,6},{3},{4}}=>[7,5,3,4,6,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,5,3,1,6,4,2]=>{{1,7},{2,5,6},{3},{4}}=>[7,5,3,4,6,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,5,3,2,1,4,6]=>{{1,7},{2,5},{3},{4},{6}}=>[7,5,3,4,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,5,3,2,1,6,4]=>{{1,7},{2,5},{3},{4},{6}}=>[7,5,3,4,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,5,3,2,4,1,6]=>{{1,7},{2,5},{3},{4},{6}}=>[7,5,3,4,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,5,3,2,4,6,1]=>{{1,7},{2,5},{3},{4},{6}}=>[7,5,3,4,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,5,3,2,6,1,4]=>{{1,7},{2,5,6},{3},{4}}=>[7,5,3,4,6,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,5,3,2,6,4,1]=>{{1,7},{2,5,6},{3},{4}}=>[7,5,3,4,6,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,5,3,4,1,2,6]=>{{1,7},{2,5},{3},{4},{6}}=>[7,5,3,4,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,5,3,4,1,6,2]=>{{1,7},{2,5},{3},{4},{6}}=>[7,5,3,4,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,5,3,4,2,1,6]=>{{1,7},{2,5},{3},{4},{6}}=>[7,5,3,4,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,5,3,4,2,6,1]=>{{1,7},{2,5},{3},{4},{6}}=>[7,5,3,4,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,5,3,4,6,1,2]=>{{1,7},{2,5,6},{3},{4}}=>[7,5,3,4,6,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,5,3,4,6,2,1]=>{{1,7},{2,5,6},{3},{4}}=>[7,5,3,4,6,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,5,3,6,1,2,4]=>{{1,7},{2,5},{3},{4,6}}=>[7,5,3,6,2,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,5,3,6,1,4,2]=>{{1,7},{2,5},{3},{4,6}}=>[7,5,3,6,2,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,5,3,6,2,1,4]=>{{1,7},{2,5},{3},{4,6}}=>[7,5,3,6,2,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,5,3,6,2,4,1]=>{{1,7},{2,5},{3},{4,6}}=>[7,5,3,6,2,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,5,3,6,4,1,2]=>{{1,7},{2,5},{3},{4,6}}=>[7,5,3,6,2,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,5,3,6,4,2,1]=>{{1,7},{2,5},{3},{4,6}}=>[7,5,3,6,2,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,5,4,1,2,3,6]=>{{1,7},{2,5},{3,4},{6}}=>[7,5,4,3,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,5,4,1,2,6,3]=>{{1,7},{2,5},{3,4},{6}}=>[7,5,4,3,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,5,4,1,3,2,6]=>{{1,7},{2,5},{3,4},{6}}=>[7,5,4,3,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,5,4,1,3,6,2]=>{{1,7},{2,5},{3,4},{6}}=>[7,5,4,3,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,5,4,1,6,2,3]=>{{1,7},{2,5,6},{3,4}}=>[7,5,4,3,6,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,5,4,1,6,3,2]=>{{1,7},{2,5,6},{3,4}}=>[7,5,4,3,6,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,5,4,2,1,3,6]=>{{1,7},{2,5},{3,4},{6}}=>[7,5,4,3,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,5,4,2,1,6,3]=>{{1,7},{2,5},{3,4},{6}}=>[7,5,4,3,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,5,4,2,3,1,6]=>{{1,7},{2,5},{3,4},{6}}=>[7,5,4,3,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,5,4,2,3,6,1]=>{{1,7},{2,5},{3,4},{6}}=>[7,5,4,3,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,5,4,2,6,1,3]=>{{1,7},{2,5,6},{3,4}}=>[7,5,4,3,6,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,5,4,2,6,3,1]=>{{1,7},{2,5,6},{3,4}}=>[7,5,4,3,6,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,5,4,3,1,2,6]=>{{1,7},{2,5},{3,4},{6}}=>[7,5,4,3,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,5,4,3,1,6,2]=>{{1,7},{2,5},{3,4},{6}}=>[7,5,4,3,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,5,4,3,2,1,6]=>{{1,7},{2,5},{3,4},{6}}=>[7,5,4,3,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>[7,5,4,3,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,5,4,3,6,1,2]=>{{1,7},{2,5,6},{3,4}}=>[7,5,4,3,6,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,5,4,3,6,2,1]=>{{1,7},{2,5,6},{3,4}}=>[7,5,4,3,6,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,5,4,6,1,2,3]=>{{1,7},{2,5},{3,4,6}}=>[7,5,4,6,2,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,5,4,6,1,3,2]=>{{1,7},{2,5},{3,4,6}}=>[7,5,4,6,2,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,5,4,6,2,1,3]=>{{1,7},{2,5},{3,4,6}}=>[7,5,4,6,2,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,5,4,6,2,3,1]=>{{1,7},{2,5},{3,4,6}}=>[7,5,4,6,2,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,5,4,6,3,1,2]=>{{1,7},{2,5},{3,4,6}}=>[7,5,4,6,2,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,5,4,6,3,2,1]=>{{1,7},{2,5},{3,4,6}}=>[7,5,4,6,2,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,5,6,1,2,3,4]=>{{1,7},{2,5},{3,6},{4}}=>[7,5,6,4,2,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,5,6,1,2,4,3]=>{{1,7},{2,5},{3,6},{4}}=>[7,5,6,4,2,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,5,6,1,3,2,4]=>{{1,7},{2,5},{3,6},{4}}=>[7,5,6,4,2,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,5,6,1,3,4,2]=>{{1,7},{2,5},{3,6},{4}}=>[7,5,6,4,2,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,5,6,1,4,2,3]=>{{1,7},{2,5},{3,6},{4}}=>[7,5,6,4,2,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,5,6,1,4,3,2]=>{{1,7},{2,5},{3,6},{4}}=>[7,5,6,4,2,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,5,6,2,1,3,4]=>{{1,7},{2,5},{3,6},{4}}=>[7,5,6,4,2,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,5,6,2,1,4,3]=>{{1,7},{2,5},{3,6},{4}}=>[7,5,6,4,2,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,5,6,2,3,1,4]=>{{1,7},{2,5},{3,6},{4}}=>[7,5,6,4,2,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,5,6,2,3,4,1]=>{{1,7},{2,5},{3,6},{4}}=>[7,5,6,4,2,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,5,6,2,4,1,3]=>{{1,7},{2,5},{3,6},{4}}=>[7,5,6,4,2,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,5,6,2,4,3,1]=>{{1,7},{2,5},{3,6},{4}}=>[7,5,6,4,2,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,5,6,3,1,2,4]=>{{1,7},{2,5},{3,6},{4}}=>[7,5,6,4,2,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,5,6,3,1,4,2]=>{{1,7},{2,5},{3,6},{4}}=>[7,5,6,4,2,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,5,6,3,2,1,4]=>{{1,7},{2,5},{3,6},{4}}=>[7,5,6,4,2,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,5,6,3,2,4,1]=>{{1,7},{2,5},{3,6},{4}}=>[7,5,6,4,2,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,5,6,3,4,1,2]=>{{1,7},{2,5},{3,6},{4}}=>[7,5,6,4,2,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,5,6,3,4,2,1]=>{{1,7},{2,5},{3,6},{4}}=>[7,5,6,4,2,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,5,6,4,1,2,3]=>{{1,7},{2,5},{3,6},{4}}=>[7,5,6,4,2,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,5,6,4,1,3,2]=>{{1,7},{2,5},{3,6},{4}}=>[7,5,6,4,2,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,5,6,4,2,1,3]=>{{1,7},{2,5},{3,6},{4}}=>[7,5,6,4,2,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,5,6,4,2,3,1]=>{{1,7},{2,5},{3,6},{4}}=>[7,5,6,4,2,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,5,6,4,3,1,2]=>{{1,7},{2,5},{3,6},{4}}=>[7,5,6,4,2,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,5,6,4,3,2,1]=>{{1,7},{2,5},{3,6},{4}}=>[7,5,6,4,2,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,6,1,2,3,4,5]=>{{1,7},{2,6},{3},{4},{5}}=>[7,6,3,4,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,6,1,2,3,5,4]=>{{1,7},{2,6},{3},{4},{5}}=>[7,6,3,4,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,6,1,2,4,3,5]=>{{1,7},{2,6},{3},{4},{5}}=>[7,6,3,4,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,6,1,2,4,5,3]=>{{1,7},{2,6},{3},{4},{5}}=>[7,6,3,4,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,6,1,2,5,3,4]=>{{1,7},{2,6},{3},{4},{5}}=>[7,6,3,4,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,6,1,2,5,4,3]=>{{1,7},{2,6},{3},{4},{5}}=>[7,6,3,4,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,6,1,3,2,4,5]=>{{1,7},{2,6},{3},{4},{5}}=>[7,6,3,4,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,6,1,3,2,5,4]=>{{1,7},{2,6},{3},{4},{5}}=>[7,6,3,4,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,6,1,3,4,2,5]=>{{1,7},{2,6},{3},{4},{5}}=>[7,6,3,4,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,6,1,3,4,5,2]=>{{1,7},{2,6},{3},{4},{5}}=>[7,6,3,4,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,6,1,3,5,2,4]=>{{1,7},{2,6},{3},{4},{5}}=>[7,6,3,4,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,6,1,3,5,4,2]=>{{1,7},{2,6},{3},{4},{5}}=>[7,6,3,4,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,6,1,4,2,3,5]=>{{1,7},{2,6},{3},{4},{5}}=>[7,6,3,4,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,6,1,4,2,5,3]=>{{1,7},{2,6},{3},{4},{5}}=>[7,6,3,4,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,6,1,4,3,2,5]=>{{1,7},{2,6},{3},{4},{5}}=>[7,6,3,4,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,6,1,4,3,5,2]=>{{1,7},{2,6},{3},{4},{5}}=>[7,6,3,4,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,6,1,4,5,2,3]=>{{1,7},{2,6},{3},{4},{5}}=>[7,6,3,4,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,6,1,4,5,3,2]=>{{1,7},{2,6},{3},{4},{5}}=>[7,6,3,4,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,6,1,5,2,3,4]=>{{1,7},{2,6},{3},{4,5}}=>[7,6,3,5,4,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,6,1,5,2,4,3]=>{{1,7},{2,6},{3},{4,5}}=>[7,6,3,5,4,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,6,1,5,3,2,4]=>{{1,7},{2,6},{3},{4,5}}=>[7,6,3,5,4,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,6,1,5,3,4,2]=>{{1,7},{2,6},{3},{4,5}}=>[7,6,3,5,4,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,6,1,5,4,2,3]=>{{1,7},{2,6},{3},{4,5}}=>[7,6,3,5,4,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,6,1,5,4,3,2]=>{{1,7},{2,6},{3},{4,5}}=>[7,6,3,5,4,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,6,2,1,3,4,5]=>{{1,7},{2,6},{3},{4},{5}}=>[7,6,3,4,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,6,2,1,3,5,4]=>{{1,7},{2,6},{3},{4},{5}}=>[7,6,3,4,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,6,2,1,4,3,5]=>{{1,7},{2,6},{3},{4},{5}}=>[7,6,3,4,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,6,2,1,4,5,3]=>{{1,7},{2,6},{3},{4},{5}}=>[7,6,3,4,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,6,2,1,5,3,4]=>{{1,7},{2,6},{3},{4},{5}}=>[7,6,3,4,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,6,2,1,5,4,3]=>{{1,7},{2,6},{3},{4},{5}}=>[7,6,3,4,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,6,2,3,1,4,5]=>{{1,7},{2,6},{3},{4},{5}}=>[7,6,3,4,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,6,2,3,1,5,4]=>{{1,7},{2,6},{3},{4},{5}}=>[7,6,3,4,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,6,2,3,4,1,5]=>{{1,7},{2,6},{3},{4},{5}}=>[7,6,3,4,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,6,2,3,4,5,1]=>{{1,7},{2,6},{3},{4},{5}}=>[7,6,3,4,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,6,2,3,5,1,4]=>{{1,7},{2,6},{3},{4},{5}}=>[7,6,3,4,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,6,2,3,5,4,1]=>{{1,7},{2,6},{3},{4},{5}}=>[7,6,3,4,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,6,2,4,1,3,5]=>{{1,7},{2,6},{3},{4},{5}}=>[7,6,3,4,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,6,2,4,1,5,3]=>{{1,7},{2,6},{3},{4},{5}}=>[7,6,3,4,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,6,2,4,3,1,5]=>{{1,7},{2,6},{3},{4},{5}}=>[7,6,3,4,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,6,2,4,3,5,1]=>{{1,7},{2,6},{3},{4},{5}}=>[7,6,3,4,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,6,2,4,5,1,3]=>{{1,7},{2,6},{3},{4},{5}}=>[7,6,3,4,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,6,2,4,5,3,1]=>{{1,7},{2,6},{3},{4},{5}}=>[7,6,3,4,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,6,2,5,1,3,4]=>{{1,7},{2,6},{3},{4,5}}=>[7,6,3,5,4,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,6,2,5,1,4,3]=>{{1,7},{2,6},{3},{4,5}}=>[7,6,3,5,4,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,6,2,5,3,1,4]=>{{1,7},{2,6},{3},{4,5}}=>[7,6,3,5,4,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,6,2,5,3,4,1]=>{{1,7},{2,6},{3},{4,5}}=>[7,6,3,5,4,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,6,2,5,4,1,3]=>{{1,7},{2,6},{3},{4,5}}=>[7,6,3,5,4,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,6,2,5,4,3,1]=>{{1,7},{2,6},{3},{4,5}}=>[7,6,3,5,4,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,6,3,1,2,4,5]=>{{1,7},{2,6},{3},{4},{5}}=>[7,6,3,4,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,6,3,1,2,5,4]=>{{1,7},{2,6},{3},{4},{5}}=>[7,6,3,4,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,6,3,1,4,2,5]=>{{1,7},{2,6},{3},{4},{5}}=>[7,6,3,4,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,6,3,1,4,5,2]=>{{1,7},{2,6},{3},{4},{5}}=>[7,6,3,4,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,6,3,1,5,2,4]=>{{1,7},{2,6},{3},{4},{5}}=>[7,6,3,4,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,6,3,1,5,4,2]=>{{1,7},{2,6},{3},{4},{5}}=>[7,6,3,4,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,6,3,2,1,4,5]=>{{1,7},{2,6},{3},{4},{5}}=>[7,6,3,4,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,6,3,2,1,5,4]=>{{1,7},{2,6},{3},{4},{5}}=>[7,6,3,4,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,6,3,2,4,1,5]=>{{1,7},{2,6},{3},{4},{5}}=>[7,6,3,4,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,6,3,2,4,5,1]=>{{1,7},{2,6},{3},{4},{5}}=>[7,6,3,4,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,6,3,2,5,1,4]=>{{1,7},{2,6},{3},{4},{5}}=>[7,6,3,4,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,6,3,2,5,4,1]=>{{1,7},{2,6},{3},{4},{5}}=>[7,6,3,4,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,6,3,4,1,2,5]=>{{1,7},{2,6},{3},{4},{5}}=>[7,6,3,4,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,6,3,4,1,5,2]=>{{1,7},{2,6},{3},{4},{5}}=>[7,6,3,4,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,6,3,4,2,1,5]=>{{1,7},{2,6},{3},{4},{5}}=>[7,6,3,4,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,6,3,4,2,5,1]=>{{1,7},{2,6},{3},{4},{5}}=>[7,6,3,4,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,6,3,4,5,1,2]=>{{1,7},{2,6},{3},{4},{5}}=>[7,6,3,4,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,6,3,4,5,2,1]=>{{1,7},{2,6},{3},{4},{5}}=>[7,6,3,4,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,6,3,5,1,2,4]=>{{1,7},{2,6},{3},{4,5}}=>[7,6,3,5,4,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,6,3,5,1,4,2]=>{{1,7},{2,6},{3},{4,5}}=>[7,6,3,5,4,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,6,3,5,2,1,4]=>{{1,7},{2,6},{3},{4,5}}=>[7,6,3,5,4,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,6,3,5,2,4,1]=>{{1,7},{2,6},{3},{4,5}}=>[7,6,3,5,4,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,6,3,5,4,1,2]=>{{1,7},{2,6},{3},{4,5}}=>[7,6,3,5,4,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>[7,6,3,5,4,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,6,4,1,2,3,5]=>{{1,7},{2,6},{3,4},{5}}=>[7,6,4,3,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,6,4,1,2,5,3]=>{{1,7},{2,6},{3,4},{5}}=>[7,6,4,3,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,6,4,1,3,2,5]=>{{1,7},{2,6},{3,4},{5}}=>[7,6,4,3,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,6,4,1,3,5,2]=>{{1,7},{2,6},{3,4},{5}}=>[7,6,4,3,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,6,4,1,5,2,3]=>{{1,7},{2,6},{3,4},{5}}=>[7,6,4,3,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,6,4,1,5,3,2]=>{{1,7},{2,6},{3,4},{5}}=>[7,6,4,3,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,6,4,2,1,3,5]=>{{1,7},{2,6},{3,4},{5}}=>[7,6,4,3,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,6,4,2,1,5,3]=>{{1,7},{2,6},{3,4},{5}}=>[7,6,4,3,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,6,4,2,3,1,5]=>{{1,7},{2,6},{3,4},{5}}=>[7,6,4,3,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,6,4,2,3,5,1]=>{{1,7},{2,6},{3,4},{5}}=>[7,6,4,3,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,6,4,2,5,1,3]=>{{1,7},{2,6},{3,4},{5}}=>[7,6,4,3,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,6,4,2,5,3,1]=>{{1,7},{2,6},{3,4},{5}}=>[7,6,4,3,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,6,4,3,1,2,5]=>{{1,7},{2,6},{3,4},{5}}=>[7,6,4,3,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,6,4,3,1,5,2]=>{{1,7},{2,6},{3,4},{5}}=>[7,6,4,3,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,6,4,3,2,1,5]=>{{1,7},{2,6},{3,4},{5}}=>[7,6,4,3,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,6,4,3,2,5,1]=>{{1,7},{2,6},{3,4},{5}}=>[7,6,4,3,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,6,4,3,5,1,2]=>{{1,7},{2,6},{3,4},{5}}=>[7,6,4,3,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>[7,6,4,3,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,6,4,5,1,2,3]=>{{1,7},{2,6},{3,4,5}}=>[7,6,4,5,3,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,6,4,5,1,3,2]=>{{1,7},{2,6},{3,4,5}}=>[7,6,4,5,3,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,6,4,5,2,1,3]=>{{1,7},{2,6},{3,4,5}}=>[7,6,4,5,3,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,6,4,5,2,3,1]=>{{1,7},{2,6},{3,4,5}}=>[7,6,4,5,3,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,6,4,5,3,1,2]=>{{1,7},{2,6},{3,4,5}}=>[7,6,4,5,3,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,6,4,5,3,2,1]=>{{1,7},{2,6},{3,4,5}}=>[7,6,4,5,3,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,6,5,1,2,3,4]=>{{1,7},{2,6},{3,5},{4}}=>[7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,6,5,1,2,4,3]=>{{1,7},{2,6},{3,5},{4}}=>[7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,6,5,1,3,2,4]=>{{1,7},{2,6},{3,5},{4}}=>[7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,6,5,1,3,4,2]=>{{1,7},{2,6},{3,5},{4}}=>[7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,6,5,1,4,2,3]=>{{1,7},{2,6},{3,5},{4}}=>[7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,6,5,1,4,3,2]=>{{1,7},{2,6},{3,5},{4}}=>[7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,6,5,2,1,3,4]=>{{1,7},{2,6},{3,5},{4}}=>[7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,6,5,2,1,4,3]=>{{1,7},{2,6},{3,5},{4}}=>[7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,6,5,2,3,1,4]=>{{1,7},{2,6},{3,5},{4}}=>[7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,6,5,2,3,4,1]=>{{1,7},{2,6},{3,5},{4}}=>[7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,6,5,2,4,1,3]=>{{1,7},{2,6},{3,5},{4}}=>[7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,6,5,2,4,3,1]=>{{1,7},{2,6},{3,5},{4}}=>[7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,6,5,3,1,2,4]=>{{1,7},{2,6},{3,5},{4}}=>[7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,6,5,3,1,4,2]=>{{1,7},{2,6},{3,5},{4}}=>[7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,6,5,3,2,1,4]=>{{1,7},{2,6},{3,5},{4}}=>[7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,6,5,3,2,4,1]=>{{1,7},{2,6},{3,5},{4}}=>[7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,6,5,3,4,1,2]=>{{1,7},{2,6},{3,5},{4}}=>[7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,6,5,3,4,2,1]=>{{1,7},{2,6},{3,5},{4}}=>[7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,6,5,4,1,2,3]=>{{1,7},{2,6},{3,5},{4}}=>[7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,6,5,4,1,3,2]=>{{1,7},{2,6},{3,5},{4}}=>[7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,6,5,4,2,1,3]=>{{1,7},{2,6},{3,5},{4}}=>[7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,6,5,4,2,3,1]=>{{1,7},{2,6},{3,5},{4}}=>[7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,6,5,4,3,1,2]=>{{1,7},{2,6},{3,5},{4}}=>[7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>[7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>[8,7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [7,8,6,5,4,3,2,1]=>{{1,7},{2,8},{3,6},{4,5}}=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] [7,6,8,5,4,3,2,1]=>{{1,7},{2,6},{3,8},{4,5}}=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] [6,7,8,5,4,3,2,1]=>{{1,6},{2,7},{3,8},{4,5}}=>[6,7,8,5,4,1,2,3]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] [7,8,5,6,4,3,2,1]=>{{1,7},{2,8},{3,5},{4,6}}=>[7,8,5,6,3,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] [7,6,5,8,4,3,2,1]=>{{1,7},{2,6},{3,5},{4,8}}=>[7,6,5,8,3,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] [7,5,6,8,4,3,2,1]=>{{1,7},{2,5},{3,6},{4,8}}=>[7,5,6,8,2,3,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] [6,5,7,8,4,3,2,1]=>{{1,6},{2,5},{3,7},{4,8}}=>[6,5,7,8,2,1,3,4]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0] [5,6,7,8,4,3,2,1]=>{{1,5},{2,6},{3,7},{4,8}}=>[5,6,7,8,1,2,3,4]=>[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] [7,6,5,4,8,3,2,1]=>{{1,7},{2,6},{3,5,8},{4}}=>[7,6,5,4,8,2,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] [6,5,7,4,8,3,2,1]=>{{1,6},{2,5,8},{3,7},{4}}=>[6,5,7,4,8,1,3,2]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0] [7,6,4,5,8,3,2,1]=>{{1,7},{2,6},{3,4,5,8}}=>[7,6,4,5,8,2,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] [4,5,6,7,8,3,2,1]=>{{1,4,7},{2,5,8},{3,6}}=>[4,5,6,7,8,3,1,2]=>[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] [8,7,6,5,3,4,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>[8,7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [7,8,6,5,3,4,2,1]=>{{1,7},{2,8},{3,6},{4,5}}=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] [8,6,7,5,3,4,2,1]=>{{1,8},{2,6},{3,7},{4,5}}=>[8,6,7,5,4,2,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,7,5,6,3,4,2,1]=>{{1,8},{2,7},{3,5},{4,6}}=>[8,7,5,6,3,4,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [5,6,7,8,3,4,2,1]=>{{1,5},{2,6},{3,7},{4,8}}=>[5,6,7,8,1,2,3,4]=>[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] [7,6,5,4,3,8,2,1]=>{{1,7},{2,6,8},{3,5},{4}}=>[7,6,5,4,3,8,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] [6,4,5,7,3,8,2,1]=>{{1,6,8},{2,4,7},{3,5}}=>[6,4,5,7,3,8,2,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0] [5,4,6,7,3,8,2,1]=>{{1,5},{2,4,7},{3,6,8}}=>[5,4,6,7,1,8,2,3]=>[1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0] [4,5,6,7,3,8,2,1]=>{{1,4,7},{2,5},{3,6,8}}=>[4,5,6,7,2,8,1,3]=>[1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0] [7,6,5,3,4,8,2,1]=>{{1,7},{2,6,8},{3,5},{4}}=>[7,6,5,4,3,8,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] [7,6,4,3,5,8,2,1]=>{{1,7},{2,6,8},{3,4},{5}}=>[7,6,4,3,5,8,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] [6,3,4,5,7,8,2,1]=>{{1,6,8},{2,3,4,5,7}}=>[6,3,4,5,7,8,2,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0] [4,3,5,6,7,8,2,1]=>{{1,4,6,8},{2,3,5,7}}=>[4,3,5,6,7,8,2,1]=>[1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] [8,7,6,5,4,2,3,1]=>{{1,8},{2,7},{3,6},{4,5}}=>[8,7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [7,8,6,5,4,2,3,1]=>{{1,7},{2,8},{3,6},{4,5}}=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] [8,6,7,5,4,2,3,1]=>{{1,8},{2,6},{3,7},{4,5}}=>[8,6,7,5,4,2,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,7,5,6,4,2,3,1]=>{{1,8},{2,7},{3,5},{4,6}}=>[8,7,5,6,3,4,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [5,6,7,8,4,2,3,1]=>{{1,5},{2,6},{3,7},{4,8}}=>[5,6,7,8,1,2,3,4]=>[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] [4,5,6,7,8,2,3,1]=>{{1,4,7},{2,5,8},{3,6}}=>[4,5,6,7,8,3,1,2]=>[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] [8,7,6,5,3,2,4,1]=>{{1,8},{2,7},{3,6},{4,5}}=>[8,7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,6,5,7,3,2,4,1]=>{{1,8},{2,6},{3,5},{4,7}}=>[8,6,5,7,3,2,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [5,6,7,8,3,2,4,1]=>{{1,5},{2,6},{3,7},{4,8}}=>[5,6,7,8,1,2,3,4]=>[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] [8,7,6,5,2,3,4,1]=>{{1,8},{2,7},{3,6},{4,5}}=>[8,7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [6,7,8,5,2,3,4,1]=>{{1,6},{2,7},{3,8},{4,5}}=>[6,7,8,5,4,1,2,3]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] [8,5,6,7,2,3,4,1]=>{{1,8},{2,5},{3,6},{4,7}}=>[8,5,6,7,2,3,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [5,6,7,8,2,3,4,1]=>{{1,5},{2,6},{3,7},{4,8}}=>[5,6,7,8,1,2,3,4]=>[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] [7,8,3,2,4,5,6,1]=>{{1,7},{2,8},{3},{4},{5},{6}}=>[7,8,3,4,5,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] [7,6,5,4,3,2,8,1]=>{{1,7,8},{2,6},{3,5},{4}}=>[7,6,5,4,3,2,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] [6,7,5,4,3,2,8,1]=>{{1,6},{2,7,8},{3,5},{4}}=>[6,7,5,4,3,1,8,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0] [6,4,5,7,3,2,8,1]=>{{1,6},{2,4,7,8},{3,5}}=>[6,4,5,7,3,1,8,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0] [4,5,6,7,3,2,8,1]=>{{1,4,7,8},{2,5},{3,6}}=>[4,5,6,7,2,3,8,1]=>[1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0] [6,5,4,3,7,2,8,1]=>{{1,6},{2,5,7,8},{3,4}}=>[6,5,4,3,7,1,8,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0] [5,4,6,3,7,2,8,1]=>{{1,5,7,8},{2,4},{3,6}}=>[5,4,6,2,7,3,8,1]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] [7,6,5,4,2,3,8,1]=>{{1,7,8},{2,6},{3,5},{4}}=>[7,6,5,4,3,2,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] [6,4,5,7,2,3,8,1]=>{{1,6},{2,4,7,8},{3,5}}=>[6,4,5,7,3,1,8,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0] [4,5,6,7,2,3,8,1]=>{{1,4,7,8},{2,5},{3,6}}=>[4,5,6,7,2,3,8,1]=>[1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0] [7,6,5,3,2,4,8,1]=>{{1,7,8},{2,6},{3,5},{4}}=>[7,6,5,4,3,2,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] [7,6,5,2,3,4,8,1]=>{{1,7,8},{2,6},{3,5},{4}}=>[7,6,5,4,3,2,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] [5,4,3,2,6,7,8,1]=>{{1,5,6,7,8},{2,4},{3}}=>[5,4,3,2,6,7,8,1]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0] [3,4,5,2,6,7,8,1]=>{{1,3,5,6,7,8},{2,4}}=>[3,4,5,2,6,7,8,1]=>[1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] [5,2,3,4,6,7,8,1]=>{{1,5,6,7,8},{2},{3},{4}}=>[5,2,3,4,6,7,8,1]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0] [4,3,2,5,6,7,8,1]=>{{1,4,5,6,7,8},{2,3}}=>[4,3,2,5,6,7,8,1]=>[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0] [3,4,2,5,6,7,8,1]=>{{1,3},{2,4,5,6,7,8}}=>[3,4,1,5,6,7,8,2]=>[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] [4,2,3,5,6,7,8,1]=>{{1,4,5,6,7,8},{2},{3}}=>[4,2,3,5,6,7,8,1]=>[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0] [3,2,4,5,6,7,8,1]=>{{1,3,4,5,6,7,8},{2}}=>[3,2,4,5,6,7,8,1]=>[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] [2,3,4,5,6,7,8,1]=>{{1,2,3,4,5,6,7,8}}=>[2,3,4,5,6,7,8,1]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [8,7,6,5,4,3,1,2]=>{{1,8},{2,7},{3,6},{4,5}}=>[8,7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [7,8,6,5,4,3,1,2]=>{{1,7},{2,8},{3,6},{4,5}}=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] [8,6,7,5,4,3,1,2]=>{{1,8},{2,6},{3,7},{4,5}}=>[8,6,7,5,4,2,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,7,5,6,4,3,1,2]=>{{1,8},{2,7},{3,5},{4,6}}=>[8,7,5,6,3,4,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [6,5,7,8,4,3,1,2]=>{{1,6},{2,5},{3,7},{4,8}}=>[6,5,7,8,2,1,3,4]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0] [5,6,7,8,4,3,1,2]=>{{1,5},{2,6},{3,7},{4,8}}=>[5,6,7,8,1,2,3,4]=>[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] [4,5,6,7,8,3,1,2]=>{{1,4,7},{2,5,8},{3,6}}=>[4,5,6,7,8,3,1,2]=>[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] [8,7,6,5,3,4,1,2]=>{{1,8},{2,7},{3,6},{4,5}}=>[8,7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,7,5,6,3,4,1,2]=>{{1,8},{2,7},{3,5},{4,6}}=>[8,7,5,6,3,4,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [7,8,5,6,3,4,1,2]=>{{1,7},{2,8},{3,5},{4,6}}=>[7,8,5,6,3,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] [7,6,5,8,3,4,1,2]=>{{1,7},{2,6},{3,5},{4,8}}=>[7,6,5,8,3,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] [6,7,5,8,3,4,1,2]=>{{1,6},{2,7},{3,5},{4,8}}=>[6,7,5,8,3,1,2,4]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0] [7,5,6,8,3,4,1,2]=>{{1,7},{2,5},{3,6},{4,8}}=>[7,5,6,8,2,3,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] [6,5,7,8,3,4,1,2]=>{{1,6},{2,5},{3,7},{4,8}}=>[6,5,7,8,2,1,3,4]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0] [5,6,7,8,3,4,1,2]=>{{1,5},{2,6},{3,7},{4,8}}=>[5,6,7,8,1,2,3,4]=>[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] [7,8,4,5,3,6,1,2]=>{{1,7},{2,8},{3,4,5},{6}}=>[7,8,4,5,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] [7,8,4,3,5,6,1,2]=>{{1,7},{2,8},{3,4},{5},{6}}=>[7,8,4,3,5,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] [7,8,3,4,5,6,1,2]=>{{1,7},{2,8},{3},{4},{5},{6}}=>[7,8,3,4,5,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] [8,4,3,5,6,7,1,2]=>{{1,8},{2,4,5,6,7},{3}}=>[8,4,3,5,6,7,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,3,4,5,6,7,1,2]=>{{1,8},{2,3,4,5,6,7}}=>[8,3,4,5,6,7,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [7,6,5,4,3,8,1,2]=>{{1,7},{2,6,8},{3,5},{4}}=>[7,6,5,4,3,8,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] [6,5,7,4,3,8,1,2]=>{{1,6,8},{2,5},{3,7},{4}}=>[6,5,7,4,2,8,3,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0] [5,6,4,7,3,8,1,2]=>{{1,5},{2,6,8},{3,4,7}}=>[5,6,4,7,1,8,3,2]=>[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] [5,4,6,7,3,8,1,2]=>{{1,5},{2,4,7},{3,6,8}}=>[5,4,6,7,1,8,2,3]=>[1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0] [4,5,6,7,3,8,1,2]=>{{1,4,7},{2,5},{3,6,8}}=>[4,5,6,7,2,8,1,3]=>[1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0] [5,6,3,4,7,8,1,2]=>{{1,5,7},{2,6,8},{3},{4}}=>[5,6,3,4,7,8,1,2]=>[1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0] [6,3,4,5,7,8,1,2]=>{{1,6,8},{2,3,4,5,7}}=>[6,3,4,5,7,8,2,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0] [5,4,3,6,7,8,1,2]=>{{1,5,7},{2,4,6,8},{3}}=>[5,4,3,6,7,8,1,2]=>[1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0] [4,3,5,6,7,8,1,2]=>{{1,4,6,8},{2,3,5,7}}=>[4,3,5,6,7,8,2,1]=>[1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] [3,4,5,6,7,8,1,2]=>{{1,3,5,7},{2,4,6,8}}=>[3,4,5,6,7,8,1,2]=>[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] [8,7,6,5,4,2,1,3]=>{{1,8},{2,7},{3,6},{4,5}}=>[8,7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [7,6,8,5,4,2,1,3]=>{{1,7},{2,6},{3,8},{4,5}}=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] [5,6,7,8,4,2,1,3]=>{{1,5},{2,6},{3,7},{4,8}}=>[5,6,7,8,1,2,3,4]=>[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] [4,5,6,7,8,2,1,3]=>{{1,4,7},{2,5,8},{3,6}}=>[4,5,6,7,8,3,1,2]=>[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] [8,7,6,5,4,1,2,3]=>{{1,8},{2,7},{3,6},{4,5}}=>[8,7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [6,7,8,5,4,1,2,3]=>{{1,6},{2,7},{3,8},{4,5}}=>[6,7,8,5,4,1,2,3]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] [8,5,6,7,4,1,2,3]=>{{1,8},{2,5},{3,6},{4,7}}=>[8,5,6,7,2,3,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [6,5,7,8,4,1,2,3]=>{{1,6},{2,5},{3,7},{4,8}}=>[6,5,7,8,2,1,3,4]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0] [5,6,7,8,4,1,2,3]=>{{1,5},{2,6},{3,7},{4,8}}=>[5,6,7,8,1,2,3,4]=>[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] [6,5,4,7,8,1,2,3]=>{{1,6},{2,5,8},{3,4,7}}=>[6,5,4,7,8,1,3,2]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0] [4,5,6,7,8,1,2,3]=>{{1,4,7},{2,5,8},{3,6}}=>[4,5,6,7,8,3,1,2]=>[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] [8,7,6,5,3,2,1,4]=>{{1,8},{2,7},{3,6},{4,5}}=>[8,7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [7,8,5,6,3,2,1,4]=>{{1,7},{2,8},{3,5},{4,6}}=>[7,8,5,6,3,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] [7,6,5,8,3,2,1,4]=>{{1,7},{2,6},{3,5},{4,8}}=>[7,6,5,8,3,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] [5,6,7,8,3,2,1,4]=>{{1,5},{2,6},{3,7},{4,8}}=>[5,6,7,8,1,2,3,4]=>[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] [8,7,6,5,2,3,1,4]=>{{1,8},{2,7},{3,6},{4,5}}=>[8,7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [7,8,5,6,2,3,1,4]=>{{1,7},{2,8},{3,5},{4,6}}=>[7,8,5,6,3,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] [6,7,5,8,2,3,1,4]=>{{1,6},{2,7},{3,5},{4,8}}=>[6,7,5,8,3,1,2,4]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0] [7,5,6,8,2,3,1,4]=>{{1,7},{2,5},{3,6},{4,8}}=>[7,5,6,8,2,3,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] [5,6,7,8,2,3,1,4]=>{{1,5},{2,6},{3,7},{4,8}}=>[5,6,7,8,1,2,3,4]=>[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] [8,7,6,5,3,1,2,4]=>{{1,8},{2,7},{3,6},{4,5}}=>[8,7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [7,8,5,6,3,1,2,4]=>{{1,7},{2,8},{3,5},{4,6}}=>[7,8,5,6,3,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] [6,7,5,8,3,1,2,4]=>{{1,6},{2,7},{3,5},{4,8}}=>[6,7,5,8,3,1,2,4]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0] [7,5,6,8,3,1,2,4]=>{{1,7},{2,5},{3,6},{4,8}}=>[7,5,6,8,2,3,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] [5,6,7,8,3,1,2,4]=>{{1,5},{2,6},{3,7},{4,8}}=>[5,6,7,8,1,2,3,4]=>[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] [8,7,6,5,2,1,3,4]=>{{1,8},{2,7},{3,6},{4,5}}=>[8,7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [7,8,6,5,2,1,3,4]=>{{1,7},{2,8},{3,6},{4,5}}=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] [6,7,8,5,2,1,3,4]=>{{1,6},{2,7},{3,8},{4,5}}=>[6,7,8,5,4,1,2,3]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] [7,8,5,6,2,1,3,4]=>{{1,7},{2,8},{3,5},{4,6}}=>[7,8,5,6,3,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] [6,5,7,8,2,1,3,4]=>{{1,6},{2,5},{3,7},{4,8}}=>[6,5,7,8,2,1,3,4]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0] [5,6,7,8,2,1,3,4]=>{{1,5},{2,6},{3,7},{4,8}}=>[5,6,7,8,1,2,3,4]=>[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] [8,7,6,5,1,2,3,4]=>{{1,8},{2,7},{3,6},{4,5}}=>[8,7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [7,8,6,5,1,2,3,4]=>{{1,7},{2,8},{3,6},{4,5}}=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] [8,6,7,5,1,2,3,4]=>{{1,8},{2,6},{3,7},{4,5}}=>[8,6,7,5,4,2,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [7,6,8,5,1,2,3,4]=>{{1,7},{2,6},{3,8},{4,5}}=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] [6,7,8,5,1,2,3,4]=>{{1,6},{2,7},{3,8},{4,5}}=>[6,7,8,5,4,1,2,3]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] [8,7,5,6,1,2,3,4]=>{{1,8},{2,7},{3,5},{4,6}}=>[8,7,5,6,3,4,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [7,8,5,6,1,2,3,4]=>{{1,7},{2,8},{3,5},{4,6}}=>[7,8,5,6,3,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] [8,6,5,7,1,2,3,4]=>{{1,8},{2,6},{3,5},{4,7}}=>[8,6,5,7,3,2,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,5,6,7,1,2,3,4]=>{{1,8},{2,5},{3,6},{4,7}}=>[8,5,6,7,2,3,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [7,6,5,8,1,2,3,4]=>{{1,7},{2,6},{3,5},{4,8}}=>[7,6,5,8,3,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] [6,7,5,8,1,2,3,4]=>{{1,6},{2,7},{3,5},{4,8}}=>[6,7,5,8,3,1,2,4]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0] [7,5,6,8,1,2,3,4]=>{{1,7},{2,5},{3,6},{4,8}}=>[7,5,6,8,2,3,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] [6,5,7,8,1,2,3,4]=>{{1,6},{2,5},{3,7},{4,8}}=>[6,5,7,8,2,1,3,4]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0] [5,6,7,8,1,2,3,4]=>{{1,5},{2,6},{3,7},{4,8}}=>[5,6,7,8,1,2,3,4]=>[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] [7,8,4,5,2,3,1,6]=>{{1,7},{2,8},{3,4,5},{6}}=>[7,8,4,5,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] [7,8,3,4,2,5,1,6]=>{{1,7},{2,8},{3},{4},{5},{6}}=>[7,8,3,4,5,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] [7,8,4,5,1,2,3,6]=>{{1,7},{2,8},{3,4,5},{6}}=>[7,8,4,5,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] [7,8,4,3,2,1,5,6]=>{{1,7},{2,8},{3,4},{5},{6}}=>[7,8,4,3,5,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] [7,8,3,2,4,1,5,6]=>{{1,7},{2,8},{3},{4},{5},{6}}=>[7,8,3,4,5,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] [7,8,2,3,4,1,5,6]=>{{1,7},{2,8},{3},{4},{5},{6}}=>[7,8,3,4,5,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] [7,8,3,4,1,2,5,6]=>{{1,7},{2,8},{3},{4},{5},{6}}=>[7,8,3,4,5,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] [7,8,4,2,1,3,5,6]=>{{1,7},{2,8},{3,4},{5},{6}}=>[7,8,4,3,5,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] [7,8,3,2,1,4,5,6]=>{{1,7},{2,8},{3},{4},{5},{6}}=>[7,8,3,4,5,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] [7,8,2,1,3,4,5,6]=>{{1,7},{2,8},{3},{4},{5},{6}}=>[7,8,3,4,5,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] [7,8,1,2,3,4,5,6]=>{{1,7},{2,8},{3},{4},{5},{6}}=>[7,8,3,4,5,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] [8,4,3,5,6,1,2,7]=>{{1,8},{2,4,5,6},{3},{7}}=>[8,4,3,5,6,2,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,6,4,5,1,2,3,7]=>{{1,8},{2,6},{3,4,5},{7}}=>[8,6,4,5,3,2,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,6,4,3,2,1,5,7]=>{{1,8},{2,6},{3,4},{5},{7}}=>[8,6,4,3,5,2,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,6,4,2,1,3,5,7]=>{{1,8},{2,6},{3,4},{5},{7}}=>[8,6,4,3,5,2,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,4,3,2,1,5,6,7]=>{{1,8},{2,4},{3},{5},{6},{7}}=>[8,4,3,2,5,6,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,2,3,4,1,5,6,7]=>{{1,8},{2},{3},{4},{5},{6},{7}}=>[8,2,3,4,5,6,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,4,1,2,3,5,6,7]=>{{1,8},{2,4},{3},{5},{6},{7}}=>[8,4,3,2,5,6,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,3,2,1,4,5,6,7]=>{{1,8},{2,3},{4},{5},{6},{7}}=>[8,3,2,4,5,6,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,2,3,1,4,5,6,7]=>{{1,8},{2},{3},{4},{5},{6},{7}}=>[8,2,3,4,5,6,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,3,1,2,4,5,6,7]=>{{1,8},{2,3},{4},{5},{6},{7}}=>[8,3,2,4,5,6,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,2,1,3,4,5,6,7]=>{{1,8},{2},{3},{4},{5},{6},{7}}=>[8,2,3,4,5,6,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,1,2,3,4,5,6,7]=>{{1,8},{2},{3},{4},{5},{6},{7}}=>[8,2,3,4,5,6,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] [5,6,7,4,3,2,1,8]=>{{1,5},{2,6},{3,7},{4},{8}}=>[5,6,7,4,1,2,3,8]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] [7,4,5,6,3,2,1,8]=>{{1,7},{2,4,6},{3,5},{8}}=>[7,4,5,6,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] [4,5,6,7,3,2,1,8]=>{{1,4,7},{2,5},{3,6},{8}}=>[4,5,6,7,2,3,1,8]=>[1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0] [7,5,6,3,4,2,1,8]=>{{1,7},{2,5},{3,6},{4},{8}}=>[7,5,6,4,2,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] [5,6,7,3,4,2,1,8]=>{{1,5},{2,6},{3,7},{4},{8}}=>[5,6,7,4,1,2,3,8]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] [5,6,7,4,2,3,1,8]=>{{1,5},{2,6},{3,7},{4},{8}}=>[5,6,7,4,1,2,3,8]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] [7,6,4,5,2,3,1,8]=>{{1,7},{2,6},{3,4,5},{8}}=>[7,6,4,5,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] [7,4,5,6,2,3,1,8]=>{{1,7},{2,4,6},{3,5},{8}}=>[7,4,5,6,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] [5,6,4,7,2,3,1,8]=>{{1,5},{2,6},{3,4,7},{8}}=>[5,6,4,7,1,2,3,8]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0] [4,5,6,7,2,3,1,8]=>{{1,4,7},{2,5},{3,6},{8}}=>[4,5,6,7,2,3,1,8]=>[1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0] [5,6,7,3,2,4,1,8]=>{{1,5},{2,6},{3,7},{4},{8}}=>[5,6,7,4,1,2,3,8]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] [7,6,5,2,3,4,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] [7,5,6,2,3,4,1,8]=>{{1,7},{2,5},{3,6},{4},{8}}=>[7,5,6,4,2,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] [5,6,7,2,3,4,1,8]=>{{1,5},{2,6},{3,7},{4},{8}}=>[5,6,7,4,1,2,3,8]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] [4,5,3,6,2,7,1,8]=>{{1,4,6,7},{2,5},{3},{8}}=>[4,5,3,6,2,7,1,8]=>[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] [5,4,3,2,6,7,1,8]=>{{1,5,6,7},{2,4},{3},{8}}=>[5,4,3,2,6,7,1,8]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0] [3,2,4,5,6,7,1,8]=>{{1,3,4,5,6,7},{2},{8}}=>[3,2,4,5,6,7,1,8]=>[1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] [2,3,4,5,6,7,1,8]=>{{1,2,3,4,5,6,7},{8}}=>[2,3,4,5,6,7,1,8]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] [7,6,5,4,3,1,2,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] [7,5,6,4,3,1,2,8]=>{{1,7},{2,5},{3,6},{4},{8}}=>[7,5,6,4,2,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] [7,4,5,6,3,1,2,8]=>{{1,7},{2,4,6},{3,5},{8}}=>[7,4,5,6,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] [4,5,6,7,3,1,2,8]=>{{1,4,7},{2,5},{3,6},{8}}=>[4,5,6,7,2,3,1,8]=>[1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0] [7,6,5,4,2,1,3,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] [7,5,4,6,2,1,3,8]=>{{1,7},{2,5},{3,4,6},{8}}=>[7,5,4,6,2,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] [7,4,5,6,2,1,3,8]=>{{1,7},{2,4,6},{3,5},{8}}=>[7,4,5,6,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] [4,5,6,7,2,1,3,8]=>{{1,4,7},{2,5},{3,6},{8}}=>[4,5,6,7,2,3,1,8]=>[1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0] [7,6,5,4,1,2,3,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] [5,6,7,4,1,2,3,8]=>{{1,5},{2,6},{3,7},{4},{8}}=>[5,6,7,4,1,2,3,8]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] [7,4,5,6,1,2,3,8]=>{{1,7},{2,4,6},{3,5},{8}}=>[7,4,5,6,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] [5,6,4,7,1,2,3,8]=>{{1,5},{2,6},{3,4,7},{8}}=>[5,6,4,7,1,2,3,8]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0] [4,5,6,7,1,2,3,8]=>{{1,4,7},{2,5},{3,6},{8}}=>[4,5,6,7,2,3,1,8]=>[1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0] [5,6,7,3,1,2,4,8]=>{{1,5},{2,6},{3,7},{4},{8}}=>[5,6,7,4,1,2,3,8]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] [5,6,7,2,1,3,4,8]=>{{1,5},{2,6},{3,7},{4},{8}}=>[5,6,7,4,1,2,3,8]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] [7,6,5,1,2,3,4,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] [7,5,6,1,2,3,4,8]=>{{1,7},{2,5},{3,6},{4},{8}}=>[7,5,6,4,2,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] [5,6,7,1,2,3,4,8]=>{{1,5},{2,6},{3,7},{4},{8}}=>[5,6,7,4,1,2,3,8]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] [7,6,4,3,2,1,5,8]=>{{1,7},{2,6},{3,4},{5},{8}}=>[7,6,4,3,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] [7,6,4,3,1,2,5,8]=>{{1,7},{2,6},{3,4},{5},{8}}=>[7,6,4,3,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] [7,2,1,3,4,5,6,8]=>{{1,7},{2},{3},{4},{5},{6},{8}}=>[7,2,3,4,5,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] [7,1,2,3,4,5,6,8]=>{{1,7},{2},{3},{4},{5},{6},{8}}=>[7,2,3,4,5,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] [2,3,4,5,6,1,7,8]=>{{1,2,3,4,5,6},{7},{8}}=>[2,3,4,5,6,1,7,8]=>[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] [5,6,3,4,1,2,7,8]=>{{1,5},{2,6},{3},{4},{7},{8}}=>[5,6,3,4,1,2,7,8]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0] [4,5,6,1,2,3,7,8]=>{{1,4},{2,5},{3,6},{7},{8}}=>[4,5,6,1,2,3,7,8]=>[1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0] [5,6,3,2,1,4,7,8]=>{{1,5},{2,6},{3},{4},{7},{8}}=>[5,6,3,4,1,2,7,8]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0] [6,2,3,1,4,5,7,8]=>{{1,6},{2},{3},{4},{5},{7},{8}}=>[6,2,3,4,5,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] [6,1,2,3,4,5,7,8]=>{{1,6},{2},{3},{4},{5},{7},{8}}=>[6,2,3,4,5,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] [5,4,3,2,1,6,7,8]=>{{1,5},{2,4},{3},{6},{7},{8}}=>[5,4,3,2,1,6,7,8]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] [5,2,3,4,1,6,7,8]=>{{1,5},{2},{3},{4},{6},{7},{8}}=>[5,2,3,4,1,6,7,8]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] [2,3,4,5,1,6,7,8]=>{{1,2,3,4,5},{6},{7},{8}}=>[2,3,4,5,1,6,7,8]=>[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] [5,1,2,3,4,6,7,8]=>{{1,5},{2},{3},{4},{6},{7},{8}}=>[5,2,3,4,1,6,7,8]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] [4,3,2,1,5,6,7,8]=>{{1,4},{2,3},{5},{6},{7},{8}}=>[4,3,2,1,5,6,7,8]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0] [3,2,4,1,5,6,7,8]=>{{1,3,4},{2},{5},{6},{7},{8}}=>[3,2,4,1,5,6,7,8]=>[1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0] [2,3,4,1,5,6,7,8]=>{{1,2,3,4},{5},{6},{7},{8}}=>[2,3,4,1,5,6,7,8]=>[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] [3,4,1,2,5,6,7,8]=>{{1,3},{2,4},{5},{6},{7},{8}}=>[3,4,1,2,5,6,7,8]=>[1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0] [4,1,2,3,5,6,7,8]=>{{1,4},{2},{3},{5},{6},{7},{8}}=>[4,2,3,1,5,6,7,8]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0] [3,2,1,4,5,6,7,8]=>{{1,3},{2},{4},{5},{6},{7},{8}}=>[3,2,1,4,5,6,7,8]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] [3,1,2,4,5,6,7,8]=>{{1,3},{2},{4},{5},{6},{7},{8}}=>[3,2,1,4,5,6,7,8]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] [2,1,3,4,5,6,7,8]=>{{1,2},{3},{4},{5},{6},{7},{8}}=>[2,1,3,4,5,6,7,8]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] [1,2,3,4,5,6,7,8]=>{{1},{2},{3},{4},{5},{6},{7},{8}}=>[1,2,3,4,5,6,7,8]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] [5,8,7,6,4,3,2,1]=>{{1,5},{2,8},{3,7},{4,6}}=>[5,8,7,6,1,4,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] [6,5,8,7,4,3,2,1]=>{{1,6},{2,5},{3,8},{4,7}}=>[6,5,8,7,2,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] [4,8,7,6,5,3,2,1]=>{{1,4,6},{2,8},{3,7},{5}}=>[4,8,7,6,5,1,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] [4,7,6,5,8,3,2,1]=>{{1,4,5,8},{2,7},{3,6}}=>[4,7,6,5,8,3,2,1]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0] [3,7,6,8,5,4,2,1]=>{{1,3,6},{2,7},{4,8},{5}}=>[3,7,6,8,5,1,2,4]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0] [3,5,6,8,7,4,2,1]=>{{1,3,6},{2,5,7},{4,8}}=>[3,5,6,8,7,1,2,4]=>[1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0] [3,5,6,7,8,4,2,1]=>{{1,3,6},{2,5,8},{4,7}}=>[3,5,6,7,8,1,4,2]=>[1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0] [3,4,5,8,7,6,2,1]=>{{1,3,5,7},{2,4,8},{6}}=>[3,4,5,8,7,6,1,2]=>[1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0] [4,3,6,5,8,7,2,1]=>{{1,4,5,8},{2,3,6,7}}=>[4,3,6,5,8,7,2,1]=>[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0] [5,7,6,4,3,8,2,1]=>{{1,5},{2,7},{3,6,8},{4}}=>[5,7,6,4,1,8,2,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0] [2,7,8,6,5,4,3,1]=>{{1,2,7},{3,8},{4,6},{5}}=>[2,7,8,6,5,4,1,3]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0] [2,6,8,7,5,4,3,1]=>{{1,2,6},{3,8},{4,7},{5}}=>[2,6,8,7,5,1,4,3]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0] [2,5,6,7,8,4,3,1]=>{{1,2,5,8},{3,6},{4,7}}=>[2,5,6,7,8,3,4,1]=>[1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0] [2,7,6,5,4,8,3,1]=>{{1,2,7},{3,6,8},{4,5}}=>[2,7,6,5,4,8,1,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0] [2,3,5,6,8,7,4,1]=>{{1,2,3,5,8},{4,6,7}}=>[2,3,5,6,8,7,4,1]=>[1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0] [2,3,5,6,7,8,4,1]=>{{1,2,3,5,7},{4,6,8}}=>[2,3,5,6,7,8,1,4]=>[1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0] [4,3,2,8,7,6,5,1]=>{{1,4,8},{2,3},{5,7},{6}}=>[4,3,2,8,7,6,5,1]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0] [3,4,2,8,7,6,5,1]=>{{1,3},{2,4,8},{5,7},{6}}=>[3,4,1,8,7,6,5,2]=>[1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0] [2,4,3,8,7,6,5,1]=>{{1,2,4,8},{3},{5,7},{6}}=>[2,4,3,8,7,6,5,1]=>[1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0] [3,2,4,8,7,6,5,1]=>{{1,3,4,8},{2},{5,7},{6}}=>[3,2,4,8,7,6,5,1]=>[1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0] [2,3,4,8,7,6,5,1]=>{{1,2,3,4,8},{5,7},{6}}=>[2,3,4,8,7,6,5,1]=>[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0] [5,4,3,2,8,7,6,1]=>{{1,5,8},{2,4},{3},{6,7}}=>[5,4,3,2,8,7,6,1]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0] [5,4,3,2,7,8,6,1]=>{{1,5,7},{2,4},{3},{6,8}}=>[5,4,3,2,7,8,1,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0] [2,4,5,3,7,8,6,1]=>{{1,2,4},{3,5,7},{6,8}}=>[2,4,5,1,7,8,3,6]=>[1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0] [3,4,2,5,7,8,6,1]=>{{1,3},{2,4,5,7},{6,8}}=>[3,4,1,5,7,8,2,6]=>[1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0] [3,2,6,5,4,8,7,1]=>{{1,3,6,8},{2},{4,5},{7}}=>[3,2,6,5,4,8,7,1]=>[1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0] [2,4,3,6,5,8,7,1]=>{{1,2,4,6,8},{3},{5},{7}}=>[2,4,3,6,5,8,7,1]=>[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0] [5,4,3,2,6,8,7,1]=>{{1,5,6,8},{2,4},{3},{7}}=>[5,4,3,2,6,8,7,1]=>[1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0] [2,4,3,5,6,8,7,1]=>{{1,2,4,5,6,8},{3},{7}}=>[2,4,3,5,6,8,7,1]=>[1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0] [2,3,4,5,6,8,7,1]=>{{1,2,3,4,5,6,8},{7}}=>[2,3,4,5,6,8,7,1]=>[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] [4,3,6,5,7,2,8,1]=>{{1,4,5,7,8},{2,3,6}}=>[4,3,6,5,7,2,8,1]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] [2,5,4,7,6,3,8,1]=>{{1,2,5,6},{3,4,7,8}}=>[2,5,4,7,6,1,8,3]=>[1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0] [2,5,4,6,7,3,8,1]=>{{1,2,5,7,8},{3,4,6}}=>[2,5,4,6,7,3,8,1]=>[1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0] [3,2,6,5,7,4,8,1]=>{{1,3,6},{2},{4,5,7,8}}=>[3,2,6,5,7,1,8,4]=>[1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] [2,4,3,7,6,5,8,1]=>{{1,2,4,7,8},{3},{5,6}}=>[2,4,3,7,6,5,8,1]=>[1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0] [2,3,4,7,6,5,8,1]=>{{1,2,3,4,7,8},{5,6}}=>[2,3,4,7,6,5,8,1]=>[1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0] [5,4,3,2,7,6,8,1]=>{{1,5,7,8},{2,4},{3},{6}}=>[5,4,3,2,7,6,8,1]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0] [4,3,5,2,7,6,8,1]=>{{1,4},{2,3,5,7,8},{6}}=>[4,3,5,1,7,6,8,2]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] [3,2,5,4,7,6,8,1]=>{{1,3,5,7,8},{2},{4},{6}}=>[3,2,5,4,7,6,8,1]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] [2,3,5,4,7,6,8,1]=>{{1,2,3,5,7,8},{4},{6}}=>[2,3,5,4,7,6,8,1]=>[1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0] [3,2,4,5,7,6,8,1]=>{{1,3,4,5,7,8},{2},{6}}=>[3,2,4,5,7,6,8,1]=>[1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0] [2,4,3,6,5,7,8,1]=>{{1,2,4,6,7,8},{3},{5}}=>[2,4,3,6,5,7,8,1]=>[1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0] [2,5,4,3,6,7,8,1]=>{{1,2,5,6,7,8},{3,4}}=>[2,5,4,3,6,7,8,1]=>[1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0] [1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,6,7,8,5,4,3,2]=>{{1},{2,6},{3,7},{4,8},{5}}=>[1,6,7,8,5,2,3,4]=>[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] [1,5,8,7,6,4,3,2]=>{{1},{2,5,6},{3,8},{4,7}}=>[1,5,8,7,6,2,4,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] [1,5,6,7,8,4,3,2]=>{{1},{2,5,8},{3,6},{4,7}}=>[1,5,6,7,8,3,4,2]=>[1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] [1,4,7,8,6,5,3,2]=>{{1},{2,4,8},{3,7},{5,6}}=>[1,4,7,8,6,5,3,2]=>[1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0] [1,3,5,7,8,6,4,2]=>{{1},{2,3,5,8},{4,7},{6}}=>[1,3,5,7,8,6,4,2]=>[1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] [1,3,5,6,7,8,4,2]=>{{1},{2,3,5,7},{4,6,8}}=>[1,3,5,6,7,8,2,4]=>[1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0] [1,4,3,8,7,6,5,2]=>{{1},{2,4,8},{3},{5,7},{6}}=>[1,4,3,8,7,6,5,2]=>[1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] [1,4,3,7,8,6,5,2]=>{{1},{2,4,7},{3},{5,8},{6}}=>[1,4,3,7,8,6,2,5]=>[1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0] [1,4,3,7,6,8,5,2]=>{{1},{2,4,7},{3},{5,6,8}}=>[1,4,3,7,6,8,2,5]=>[1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0] [1,3,4,8,7,6,5,2]=>{{1},{2,3,4,8},{5,7},{6}}=>[1,3,4,8,7,6,5,2]=>[1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0] [1,3,4,5,7,8,6,2]=>{{1},{2,3,4,5,7},{6,8}}=>[1,3,4,5,7,8,2,6]=>[1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0] [1,6,5,4,3,8,7,2]=>{{1},{2,6,8},{3,5},{4},{7}}=>[1,6,5,4,3,8,7,2]=>[1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] [1,5,6,4,3,8,7,2]=>{{1},{2,5},{3,6,8},{4},{7}}=>[1,5,6,4,2,8,7,3]=>[1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0] [1,4,3,6,5,8,7,2]=>{{1},{2,4,6,8},{3},{5},{7}}=>[1,4,3,6,5,8,7,2]=>[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] [1,3,4,5,6,8,7,2]=>{{1},{2,3,4,5,6,8},{7}}=>[1,3,4,5,6,8,7,2]=>[1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] [1,5,4,3,6,7,8,2]=>{{1},{2,5,6,7,8},{3,4}}=>[1,5,4,3,6,7,8,2]=>[1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0] [1,4,5,3,6,7,8,2]=>{{1},{2,4},{3,5,6,7,8}}=>[1,4,5,2,6,7,8,3]=>[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] [1,4,3,5,6,7,8,2]=>{{1},{2,4,5,6,7,8},{3}}=>[1,4,3,5,6,7,8,2]=>[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] [1,3,4,5,6,7,8,2]=>{{1},{2,3,4,5,6,7,8}}=>[1,3,4,5,6,7,8,2]=>[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] [2,1,8,7,6,5,4,3]=>{{1,2},{3,8},{4,7},{5,6}}=>[2,1,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] [2,1,6,7,8,5,4,3]=>{{1,2},{3,6},{4,7},{5,8}}=>[2,1,6,7,8,3,4,5]=>[1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] [2,1,6,5,8,7,4,3]=>{{1,2},{3,6,7},{4,5,8}}=>[2,1,6,5,8,7,3,4]=>[1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] [2,1,7,6,5,8,4,3]=>{{1,2},{3,7},{4,6,8},{5}}=>[2,1,7,6,5,8,3,4]=>[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0] [2,1,6,7,5,8,4,3]=>{{1,2},{3,6,8},{4,7},{5}}=>[2,1,6,7,5,8,4,3]=>[1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0] [2,1,6,5,7,8,4,3]=>{{1,2},{3,6,8},{4,5,7}}=>[2,1,6,5,7,8,4,3]=>[1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0] [2,1,5,6,7,8,4,3]=>{{1,2},{3,5,7},{4,6,8}}=>[2,1,5,6,7,8,3,4]=>[1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0] [2,1,4,8,7,6,5,3]=>{{1,2},{3,4,8},{5,7},{6}}=>[2,1,4,8,7,6,5,3]=>[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0] [2,1,4,7,8,6,5,3]=>{{1,2},{3,4,7},{5,8},{6}}=>[2,1,4,7,8,6,3,5]=>[1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0] [2,1,4,5,8,7,6,3]=>{{1,2},{3,4,5,8},{6,7}}=>[2,1,4,5,8,7,6,3]=>[1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0] [2,1,4,5,7,8,6,3]=>{{1,2},{3,4,5,7},{6,8}}=>[2,1,4,5,7,8,3,6]=>[1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0] [2,1,4,6,5,8,7,3]=>{{1,2},{3,4,6,8},{5},{7}}=>[2,1,4,6,5,8,7,3]=>[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] [2,1,6,5,7,4,8,3]=>{{1,2},{3,6},{4,5,7,8}}=>[2,1,6,5,7,3,8,4]=>[1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] [2,1,5,4,7,6,8,3]=>{{1,2},{3,5,7,8},{4},{6}}=>[2,1,5,4,7,6,8,3]=>[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] [2,1,4,5,6,7,8,3]=>{{1,2},{3,4,5,6,7,8}}=>[2,1,4,5,6,7,8,3]=>[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] [1,2,5,6,7,8,4,3]=>{{1},{2},{3,5,7},{4,6,8}}=>[1,2,5,6,7,8,3,4]=>[1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] [1,2,4,6,7,8,5,3]=>{{1},{2},{3,4,6,8},{5,7}}=>[1,2,4,6,7,8,5,3]=>[1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0] [1,2,6,5,4,7,8,3]=>{{1},{2},{3,6,7,8},{4,5}}=>[1,2,6,5,4,7,8,3]=>[1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] [1,2,5,6,4,7,8,3]=>{{1},{2},{3,5},{4,6,7,8}}=>[1,2,5,6,3,7,8,4]=>[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] [1,2,5,4,6,7,8,3]=>{{1},{2},{3,5,6,7,8},{4}}=>[1,2,5,4,6,7,8,3]=>[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] [1,2,4,5,6,7,8,3]=>{{1},{2},{3,4,5,6,7,8}}=>[1,2,4,5,6,7,8,3]=>[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] [3,2,1,8,7,6,5,4]=>{{1,3},{2},{4,8},{5,7},{6}}=>[3,2,1,8,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] [3,2,1,7,8,6,5,4]=>{{1,3},{2},{4,7},{5,8},{6}}=>[3,2,1,7,8,6,4,5]=>[1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0] [3,2,1,7,6,8,5,4]=>{{1,3},{2},{4,7},{5,6,8}}=>[3,2,1,7,6,8,4,5]=>[1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0] [3,2,1,6,7,8,5,4]=>{{1,3},{2},{4,6,8},{5,7}}=>[3,2,1,6,7,8,5,4]=>[1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0] [3,2,1,5,8,7,6,4]=>{{1,3},{2},{4,5,8},{6,7}}=>[3,2,1,5,8,7,6,4]=>[1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0] [3,2,1,5,7,8,6,4]=>{{1,3},{2},{4,5,7},{6,8}}=>[3,2,1,5,7,8,4,6]=>[1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0] [3,2,1,6,5,8,7,4]=>{{1,3},{2},{4,6,8},{5},{7}}=>[3,2,1,6,5,8,7,4]=>[1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0] [3,2,1,5,6,8,7,4]=>{{1,3},{2},{4,5,6,8},{7}}=>[3,2,1,5,6,8,7,4]=>[1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0] [3,2,1,7,6,5,8,4]=>{{1,3},{2},{4,7,8},{5,6}}=>[3,2,1,7,6,5,8,4]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0] [3,2,1,6,7,5,8,4]=>{{1,3},{2},{4,6},{5,7,8}}=>[3,2,1,6,7,4,8,5]=>[1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0] [3,2,1,5,7,6,8,4]=>{{1,3},{2},{4,5,7,8},{6}}=>[3,2,1,5,7,6,8,4]=>[1,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0] [3,2,1,6,5,7,8,4]=>{{1,3},{2},{4,6,7,8},{5}}=>[3,2,1,6,5,7,8,4]=>[1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0] [3,2,1,5,6,7,8,4]=>{{1,3},{2},{4,5,6,7,8}}=>[3,2,1,5,6,7,8,4]=>[1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0] [2,3,1,8,7,6,5,4]=>{{1,2,3},{4,8},{5,7},{6}}=>[2,3,1,8,7,6,5,4]=>[1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0] [1,3,2,8,7,6,5,4]=>{{1},{2,3},{4,8},{5,7},{6}}=>[1,3,2,8,7,6,5,4]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] [1,2,3,7,8,6,5,4]=>{{1},{2},{3},{4,7},{5,8},{6}}=>[1,2,3,7,8,6,4,5]=>[1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] [1,2,3,6,8,7,5,4]=>{{1},{2},{3},{4,6,7},{5,8}}=>[1,2,3,6,8,7,4,5]=>[1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0] [1,2,3,6,7,8,5,4]=>{{1},{2},{3},{4,6,8},{5,7}}=>[1,2,3,6,7,8,5,4]=>[1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] [1,2,3,6,5,8,7,4]=>{{1},{2},{3},{4,6,8},{5},{7}}=>[1,2,3,6,5,8,7,4]=>[1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0] [1,2,3,5,6,8,7,4]=>{{1},{2},{3},{4,5,6,8},{7}}=>[1,2,3,5,6,8,7,4]=>[1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0] [1,2,3,7,6,5,8,4]=>{{1},{2},{3},{4,7,8},{5,6}}=>[1,2,3,7,6,5,8,4]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0] [1,2,3,6,5,7,8,4]=>{{1},{2},{3},{4,6,7,8},{5}}=>[1,2,3,6,5,7,8,4]=>[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] [1,2,3,5,6,7,8,4]=>{{1},{2},{3},{4,5,6,7,8}}=>[1,2,3,5,6,7,8,4]=>[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] [4,3,2,1,8,7,6,5]=>{{1,4},{2,3},{5,8},{6,7}}=>[4,3,2,1,8,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] [4,3,2,1,7,8,6,5]=>{{1,4},{2,3},{5,7},{6,8}}=>[4,3,2,1,7,8,5,6]=>[1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0] [4,3,2,1,6,8,7,5]=>{{1,4},{2,3},{5,6,8},{7}}=>[4,3,2,1,6,8,7,5]=>[1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0] [4,3,2,1,7,6,8,5]=>{{1,4},{2,3},{5,7,8},{6}}=>[4,3,2,1,7,6,8,5]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0] [4,3,2,1,6,7,8,5]=>{{1,4},{2,3},{5,6,7,8}}=>[4,3,2,1,6,7,8,5]=>[1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0] [3,4,2,1,8,7,6,5]=>{{1,3},{2,4},{5,8},{6,7}}=>[3,4,1,2,8,7,6,5]=>[1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] [3,4,2,1,7,8,6,5]=>{{1,3},{2,4},{5,7},{6,8}}=>[3,4,1,2,7,8,5,6]=>[1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] [3,4,2,1,6,8,7,5]=>{{1,3},{2,4},{5,6,8},{7}}=>[3,4,1,2,6,8,7,5]=>[1,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0] [3,4,2,1,7,6,8,5]=>{{1,3},{2,4},{5,7,8},{6}}=>[3,4,1,2,7,6,8,5]=>[1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0] [3,4,2,1,6,7,8,5]=>{{1,3},{2,4},{5,6,7,8}}=>[3,4,1,2,6,7,8,5]=>[1,1,1,0,1,0,0,0,1,1,0,1,0,1,0,0] [2,4,3,1,8,7,6,5]=>{{1,2,4},{3},{5,8},{6,7}}=>[2,4,3,1,8,7,6,5]=>[1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0] [2,4,3,1,7,8,6,5]=>{{1,2,4},{3},{5,7},{6,8}}=>[2,4,3,1,7,8,5,6]=>[1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0] [2,4,3,1,6,8,7,5]=>{{1,2,4},{3},{5,6,8},{7}}=>[2,4,3,1,6,8,7,5]=>[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0] [2,4,3,1,7,6,8,5]=>{{1,2,4},{3},{5,7,8},{6}}=>[2,4,3,1,7,6,8,5]=>[1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0] [2,4,3,1,6,7,8,5]=>{{1,2,4},{3},{5,6,7,8}}=>[2,4,3,1,6,7,8,5]=>[1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0] [3,2,4,1,8,7,6,5]=>{{1,3,4},{2},{5,8},{6,7}}=>[3,2,4,1,8,7,6,5]=>[1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0] [3,2,4,1,7,8,6,5]=>{{1,3,4},{2},{5,7},{6,8}}=>[3,2,4,1,7,8,5,6]=>[1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,0] [3,2,4,1,6,8,7,5]=>{{1,3,4},{2},{5,6,8},{7}}=>[3,2,4,1,6,8,7,5]=>[1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0] [3,2,4,1,7,6,8,5]=>{{1,3,4},{2},{5,7,8},{6}}=>[3,2,4,1,7,6,8,5]=>[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] [3,2,4,1,6,7,8,5]=>{{1,3,4},{2},{5,6,7,8}}=>[3,2,4,1,6,7,8,5]=>[1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0] [2,3,4,1,8,7,6,5]=>{{1,2,3,4},{5,8},{6,7}}=>[2,3,4,1,8,7,6,5]=>[1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0] [2,3,4,1,7,8,6,5]=>{{1,2,3,4},{5,7},{6,8}}=>[2,3,4,1,7,8,5,6]=>[1,1,0,1,0,1,0,0,1,1,1,0,1,0,0,0] [2,3,4,1,6,8,7,5]=>{{1,2,3,4},{5,6,8},{7}}=>[2,3,4,1,6,8,7,5]=>[1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0] [2,3,4,1,7,6,8,5]=>{{1,2,3,4},{5,7,8},{6}}=>[2,3,4,1,7,6,8,5]=>[1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0] [2,3,4,1,6,7,8,5]=>{{1,2,3,4},{5,6,7,8}}=>[2,3,4,1,6,7,8,5]=>[1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0] [1,4,3,2,8,7,6,5]=>{{1},{2,4},{3},{5,8},{6,7}}=>[1,4,3,2,8,7,6,5]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] [1,4,3,2,7,6,8,5]=>{{1},{2,4},{3},{5,7,8},{6}}=>[1,4,3,2,7,6,8,5]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0] [1,4,3,2,6,7,8,5]=>{{1},{2,4},{3},{5,6,7,8}}=>[1,4,3,2,6,7,8,5]=>[1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0] [1,3,4,2,8,7,6,5]=>{{1},{2,3,4},{5,8},{6,7}}=>[1,3,4,2,8,7,6,5]=>[1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] [2,1,4,3,8,7,6,5]=>{{1,2},{3,4},{5,8},{6,7}}=>[2,1,4,3,8,7,6,5]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] [2,1,4,3,7,8,6,5]=>{{1,2},{3,4},{5,7},{6,8}}=>[2,1,4,3,7,8,5,6]=>[1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] [2,1,4,3,6,8,7,5]=>{{1,2},{3,4},{5,6,8},{7}}=>[2,1,4,3,6,8,7,5]=>[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] [2,1,4,3,7,6,8,5]=>{{1,2},{3,4},{5,7,8},{6}}=>[2,1,4,3,7,6,8,5]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] [2,1,4,3,6,7,8,5]=>{{1,2},{3,4},{5,6,7,8}}=>[2,1,4,3,6,7,8,5]=>[1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] [1,2,4,3,8,7,6,5]=>{{1},{2},{3,4},{5,8},{6,7}}=>[1,2,4,3,8,7,6,5]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] [1,2,4,3,6,7,8,5]=>{{1},{2},{3,4},{5,6,7,8}}=>[1,2,4,3,6,7,8,5]=>[1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0] [3,2,1,4,8,7,6,5]=>{{1,3},{2},{4},{5,8},{6,7}}=>[3,2,1,4,8,7,6,5]=>[1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0] [3,2,1,4,7,6,8,5]=>{{1,3},{2},{4},{5,7,8},{6}}=>[3,2,1,4,7,6,8,5]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0] [3,2,1,4,6,7,8,5]=>{{1,3},{2},{4},{5,6,7,8}}=>[3,2,1,4,6,7,8,5]=>[1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,0] [2,3,1,4,8,7,6,5]=>{{1,2,3},{4},{5,8},{6,7}}=>[2,3,1,4,8,7,6,5]=>[1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0] [1,3,2,4,8,7,6,5]=>{{1},{2,3},{4},{5,8},{6,7}}=>[1,3,2,4,8,7,6,5]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] [1,3,2,4,6,7,8,5]=>{{1},{2,3},{4},{5,6,7,8}}=>[1,3,2,4,6,7,8,5]=>[1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0] [2,1,3,4,8,7,6,5]=>{{1,2},{3},{4},{5,8},{6,7}}=>[2,1,3,4,8,7,6,5]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] [2,1,3,4,6,7,8,5]=>{{1,2},{3},{4},{5,6,7,8}}=>[2,1,3,4,6,7,8,5]=>[1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0] [1,2,3,4,8,7,6,5]=>{{1},{2},{3},{4},{5,8},{6,7}}=>[1,2,3,4,8,7,6,5]=>[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] [1,2,3,4,7,8,6,5]=>{{1},{2},{3},{4},{5,7},{6,8}}=>[1,2,3,4,7,8,5,6]=>[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] [1,2,3,4,7,6,8,5]=>{{1},{2},{3},{4},{5,7,8},{6}}=>[1,2,3,4,7,6,8,5]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] [1,2,3,4,6,7,8,5]=>{{1},{2},{3},{4},{5,6,7,8}}=>[1,2,3,4,6,7,8,5]=>[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] [5,4,3,2,1,8,7,6]=>{{1,5},{2,4},{3},{6,8},{7}}=>[5,4,3,2,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] [5,4,3,2,1,7,8,6]=>{{1,5},{2,4},{3},{6,7,8}}=>[5,4,3,2,1,7,8,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0] [4,5,3,2,1,8,7,6]=>{{1,4},{2,5},{3},{6,8},{7}}=>[4,5,3,1,2,8,7,6]=>[1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0] [4,3,5,2,1,8,7,6]=>{{1,4},{2,3,5},{6,8},{7}}=>[4,3,5,1,2,8,7,6]=>[1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0] [3,4,5,2,1,8,7,6]=>{{1,3,5},{2,4},{6,8},{7}}=>[3,4,5,2,1,8,7,6]=>[1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0] [2,5,4,3,1,8,7,6]=>{{1,2,5},{3,4},{6,8},{7}}=>[2,5,4,3,1,8,7,6]=>[1,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0] [3,2,5,4,1,8,7,6]=>{{1,3,5},{2},{4},{6,8},{7}}=>[3,2,5,4,1,8,7,6]=>[1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0] [2,3,5,4,1,8,7,6]=>{{1,2,3,5},{4},{6,8},{7}}=>[2,3,5,4,1,8,7,6]=>[1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0] [4,3,2,5,1,8,7,6]=>{{1,4,5},{2,3},{6,8},{7}}=>[4,3,2,5,1,8,7,6]=>[1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0] [3,4,2,5,1,8,7,6]=>{{1,3},{2,4,5},{6,8},{7}}=>[3,4,1,5,2,8,7,6]=>[1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0] [3,2,4,5,1,8,7,6]=>{{1,3,4,5},{2},{6,8},{7}}=>[3,2,4,5,1,8,7,6]=>[1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0] [2,3,4,5,1,8,7,6]=>{{1,2,3,4,5},{6,8},{7}}=>[2,3,4,5,1,8,7,6]=>[1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0] [4,3,2,1,5,8,7,6]=>{{1,4},{2,3},{5},{6,8},{7}}=>[4,3,2,1,5,8,7,6]=>[1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0] [4,3,2,1,5,7,8,6]=>{{1,4},{2,3},{5},{6,7,8}}=>[4,3,2,1,5,7,8,6]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0] [3,2,4,1,5,8,7,6]=>{{1,3,4},{2},{5},{6,8},{7}}=>[3,2,4,1,5,8,7,6]=>[1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0] [3,2,4,1,5,7,8,6]=>{{1,3,4},{2},{5},{6,7,8}}=>[3,2,4,1,5,7,8,6]=>[1,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0] [3,2,1,4,5,8,7,6]=>{{1,3},{2},{4},{5},{6,8},{7}}=>[3,2,1,4,5,8,7,6]=>[1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0] [2,3,1,4,5,7,8,6]=>{{1,2,3},{4},{5},{6,7,8}}=>[2,3,1,4,5,7,8,6]=>[1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] [1,2,3,4,5,8,7,6]=>{{1},{2},{3},{4},{5},{6,8},{7}}=>[1,2,3,4,5,8,7,6]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] [1,2,3,4,5,7,8,6]=>{{1},{2},{3},{4},{5},{6,7,8}}=>[1,2,3,4,5,7,8,6]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] [6,5,4,3,2,1,8,7]=>{{1,6},{2,5},{3,4},{7,8}}=>[6,5,4,3,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] [5,6,4,3,2,1,8,7]=>{{1,5},{2,6},{3,4},{7,8}}=>[5,6,4,3,1,2,8,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0] [4,5,6,3,2,1,8,7]=>{{1,4},{2,5},{3,6},{7,8}}=>[4,5,6,1,2,3,8,7]=>[1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0] [3,6,5,4,2,1,8,7]=>{{1,3,5},{2,6},{4},{7,8}}=>[3,6,5,4,1,2,8,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0] [5,4,3,6,2,1,8,7]=>{{1,5},{2,4,6},{3},{7,8}}=>[5,4,3,6,1,2,8,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0] [4,5,3,6,2,1,8,7]=>{{1,4,6},{2,5},{3},{7,8}}=>[4,5,3,6,2,1,8,7]=>[1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0] [4,3,5,6,2,1,8,7]=>{{1,4,6},{2,3,5},{7,8}}=>[4,3,5,6,2,1,8,7]=>[1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0] [2,3,6,5,4,1,8,7]=>{{1,2,3,6},{4,5},{7,8}}=>[2,3,6,5,4,1,8,7]=>[1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0] [2,4,3,6,5,1,8,7]=>{{1,2,4,6},{3},{5},{7,8}}=>[2,4,3,6,5,1,8,7]=>[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0] [5,4,3,2,6,1,8,7]=>{{1,5,6},{2,4},{3},{7,8}}=>[5,4,3,2,6,1,8,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0] [4,3,5,2,6,1,8,7]=>{{1,4},{2,3,5,6},{7,8}}=>[4,3,5,1,6,2,8,7]=>[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] [3,2,5,4,6,1,8,7]=>{{1,3,5,6},{2},{4},{7,8}}=>[3,2,5,4,6,1,8,7]=>[1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] [4,3,2,5,6,1,8,7]=>{{1,4,5,6},{2,3},{7,8}}=>[4,3,2,5,6,1,8,7]=>[1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0] [2,3,4,5,6,1,8,7]=>{{1,2,3,4,5,6},{7,8}}=>[2,3,4,5,6,1,8,7]=>[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] [2,1,6,5,4,3,8,7]=>{{1,2},{3,6},{4,5},{7,8}}=>[2,1,6,5,4,3,8,7]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] [2,1,5,6,4,3,8,7]=>{{1,2},{3,5},{4,6},{7,8}}=>[2,1,5,6,3,4,8,7]=>[1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] [2,1,4,6,5,3,8,7]=>{{1,2},{3,4,6},{5},{7,8}}=>[2,1,4,6,5,3,8,7]=>[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] [2,1,5,4,6,3,8,7]=>{{1,2},{3,5,6},{4},{7,8}}=>[2,1,5,4,6,3,8,7]=>[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] [2,1,4,5,6,3,8,7]=>{{1,2},{3,4,5,6},{7,8}}=>[2,1,4,5,6,3,8,7]=>[1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] [4,3,2,1,6,5,8,7]=>{{1,4},{2,3},{5,6},{7,8}}=>[4,3,2,1,6,5,8,7]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] [3,4,2,1,6,5,8,7]=>{{1,3},{2,4},{5,6},{7,8}}=>[3,4,1,2,6,5,8,7]=>[1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] [2,4,3,1,6,5,8,7]=>{{1,2,4},{3},{5,6},{7,8}}=>[2,4,3,1,6,5,8,7]=>[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0] [3,2,4,1,6,5,8,7]=>{{1,3,4},{2},{5,6},{7,8}}=>[3,2,4,1,6,5,8,7]=>[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] [2,3,4,1,6,5,8,7]=>{{1,2,3,4},{5,6},{7,8}}=>[2,3,4,1,6,5,8,7]=>[1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0] [2,1,4,3,6,5,8,7]=>{{1,2},{3,4},{5,6},{7,8}}=>[2,1,4,3,6,5,8,7]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] [5,4,3,2,1,6,8,7]=>{{1,5},{2,4},{3},{6},{7,8}}=>[5,4,3,2,1,6,8,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0] [4,3,2,1,5,6,8,7]=>{{1,4},{2,3},{5},{6},{7,8}}=>[4,3,2,1,5,6,8,7]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0] [3,2,4,1,5,6,8,7]=>{{1,3,4},{2},{5},{6},{7,8}}=>[3,2,4,1,5,6,8,7]=>[1,1,1,0,0,1,0,0,1,0,1,0,1,1,0,0] [2,1,3,4,5,6,8,7]=>{{1,2},{3},{4},{5},{6},{7,8}}=>[2,1,3,4,5,6,8,7]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] [1,2,3,4,5,6,8,7]=>{{1},{2},{3},{4},{5},{6},{7,8}}=>[1,2,3,4,5,6,8,7]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] [3,4,7,6,5,2,1,8]=>{{1,3,7},{2,4,6},{5},{8}}=>[3,4,7,6,5,2,1,8]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0] [3,2,7,6,5,4,1,8]=>{{1,3,7},{2},{4,6},{5},{8}}=>[3,2,7,6,5,4,1,8]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0] [3,2,6,7,5,4,1,8]=>{{1,3,6},{2},{4,7},{5},{8}}=>[3,2,6,7,5,1,4,8]=>[1,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0] [5,4,3,2,7,6,1,8]=>{{1,5,7},{2,4},{3},{6},{8}}=>[5,4,3,2,7,6,1,8]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0] [4,5,3,2,7,6,1,8]=>{{1,4},{2,5,7},{3},{6},{8}}=>[4,5,3,1,7,6,2,8]=>[1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0] [3,2,5,4,7,6,1,8]=>{{1,3,5,7},{2},{4},{6},{8}}=>[3,2,5,4,7,6,1,8]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] [2,3,4,5,7,6,1,8]=>{{1,2,3,4,5,7},{6},{8}}=>[2,3,4,5,7,6,1,8]=>[1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0] [1,3,4,6,7,5,2,8]=>{{1},{2,3,4,6},{5,7},{8}}=>[1,3,4,6,7,2,5,8]=>[1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0] [1,3,4,5,7,6,2,8]=>{{1},{2,3,4,5,7},{6},{8}}=>[1,3,4,5,7,6,2,8]=>[1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0] [2,3,1,5,6,7,4,8]=>{{1,2,3},{4,5,6,7},{8}}=>[2,3,1,5,6,7,4,8]=>[1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0] [4,3,2,1,7,6,5,8]=>{{1,4},{2,3},{5,7},{6},{8}}=>[4,3,2,1,7,6,5,8]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0] [4,3,2,1,6,7,5,8]=>{{1,4},{2,3},{5,6,7},{8}}=>[4,3,2,1,6,7,5,8]=>[1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0] [2,3,4,1,6,7,5,8]=>{{1,2,3,4},{5,6,7},{8}}=>[2,3,4,1,6,7,5,8]=>[1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0] [1,4,3,2,7,6,5,8]=>{{1},{2,4},{3},{5,7},{6},{8}}=>[1,4,3,2,7,6,5,8]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] [1,3,4,2,6,7,5,8]=>{{1},{2,3,4},{5,6,7},{8}}=>[1,3,4,2,6,7,5,8]=>[1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] [5,4,3,2,1,7,6,8]=>{{1,5},{2,4},{3},{6,7},{8}}=>[5,4,3,2,1,7,6,8]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0] [3,2,1,5,4,7,6,8]=>{{1,3},{2},{4,5},{6,7},{8}}=>[3,2,1,5,4,7,6,8]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0] [2,3,1,5,4,7,6,8]=>{{1,2,3},{4,5},{6,7},{8}}=>[2,3,1,5,4,7,6,8]=>[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0] [1,3,2,5,4,7,6,8]=>{{1},{2,3},{4,5},{6,7},{8}}=>[1,3,2,5,4,7,6,8]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] [4,3,2,1,5,7,6,8]=>{{1,4},{2,3},{5},{6,7},{8}}=>[4,3,2,1,5,7,6,8]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0] [2,3,4,1,5,7,6,8]=>{{1,2,3,4},{5},{6,7},{8}}=>[2,3,4,1,5,7,6,8]=>[1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0] [1,3,2,4,5,7,6,8]=>{{1},{2,3},{4},{5},{6,7},{8}}=>[1,3,2,4,5,7,6,8]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] [2,3,4,6,5,1,7,8]=>{{1,2,3,4,6},{5},{7},{8}}=>[2,3,4,6,5,1,7,8]=>[1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0] [4,3,2,1,6,5,7,8]=>{{1,4},{2,3},{5,6},{7},{8}}=>[4,3,2,1,6,5,7,8]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0] [2,3,4,1,6,5,7,8]=>{{1,2,3,4},{5,6},{7},{8}}=>[2,3,4,1,6,5,7,8]=>[1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0] [1,2,4,3,6,5,7,8]=>{{1},{2},{3,4},{5,6},{7},{8}}=>[1,2,4,3,6,5,7,8]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] [3,2,5,4,1,6,7,8]=>{{1,3,5},{2},{4},{6},{7},{8}}=>[3,2,5,4,1,6,7,8]=>[1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0] [1,2,3,5,8,6,7,4]=>{{1},{2},{3},{4,5,8},{6},{7}}=>[1,2,3,5,8,6,7,4]=>[1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0] [1,2,3,8,5,6,7,4]=>{{1},{2},{3},{4,8},{5},{6},{7}}=>[1,2,3,8,5,6,7,4]=>[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] [1,2,3,8,6,7,5,4]=>{{1},{2},{3},{4,8},{5,6,7}}=>[1,2,3,8,6,7,5,4]=>[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] [1,2,4,5,8,6,7,3]=>{{1},{2},{3,4,5,8},{6},{7}}=>[1,2,4,5,8,6,7,3]=>[1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0] [1,3,2,8,6,5,7,4]=>{{1},{2,3},{4,8},{5,6},{7}}=>[1,3,2,8,6,5,7,4]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] [1,3,8,5,4,6,7,2]=>{{1},{2,3,8},{4,5},{6},{7}}=>[1,3,8,5,4,6,7,2]=>[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] [1,3,8,6,5,7,4,2]=>{{1},{2,3,8},{4,6,7},{5}}=>[1,3,8,6,5,7,4,2]=>[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] [1,6,3,5,4,8,7,2]=>{{1},{2,6,8},{3},{4,5},{7}}=>[1,6,3,5,4,8,7,2]=>[1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] [1,8,5,4,7,6,3,2]=>{{1},{2,8},{3,5,7},{4},{6}}=>[1,8,5,4,7,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] [2,1,4,5,8,6,7,3]=>{{1,2},{3,4,5,8},{6},{7}}=>[2,1,4,5,8,6,7,3]=>[1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0] [2,1,7,4,6,5,8,3]=>{{1,2},{3,7,8},{4},{5,6}}=>[2,1,7,4,6,5,8,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0] [2,1,8,5,4,7,6,3]=>{{1,2},{3,8},{4,5},{6,7}}=>[2,1,8,5,4,7,6,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] [2,3,1,8,6,7,5,4]=>{{1,2,3},{4,8},{5,6,7}}=>[2,3,1,8,6,7,5,4]=>[1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0] [2,3,4,8,5,6,7,1]=>{{1,2,3,4,8},{5},{6},{7}}=>[2,3,4,8,5,6,7,1]=>[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0] [2,3,4,8,5,7,6,1]=>{{1,2,3,4,8},{5},{6,7}}=>[2,3,4,8,5,7,6,1]=>[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0] [2,3,4,8,6,5,7,1]=>{{1,2,3,4,8},{5,6},{7}}=>[2,3,4,8,6,5,7,1]=>[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0] [2,3,4,8,6,7,5,1]=>{{1,2,3,4,8},{5,6,7}}=>[2,3,4,8,6,7,5,1]=>[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0] [2,3,6,4,5,1,8,7]=>{{1,2,3,6},{4},{5},{7,8}}=>[2,3,6,4,5,1,8,7]=>[1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0] [2,3,7,4,5,6,8,1]=>{{1,2,3,7,8},{4},{5},{6}}=>[2,3,7,4,5,6,8,1]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0] [2,8,3,4,5,6,7,1]=>{{1,2,8},{3},{4},{5},{6},{7}}=>[2,8,3,4,5,6,7,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] [2,8,3,5,4,7,6,1]=>{{1,2,8},{3},{4,5},{6,7}}=>[2,8,3,5,4,7,6,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] [2,8,3,5,7,6,4,1]=>{{1,2,8},{3},{4,5,7},{6}}=>[2,8,3,5,7,6,4,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] [2,5,4,3,8,6,7,1]=>{{1,2,5,8},{3,4},{6},{7}}=>[2,5,4,3,8,6,7,1]=>[1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0] [2,8,4,3,5,7,6,1]=>{{1,2,8},{3,4},{5},{6,7}}=>[2,8,4,3,5,7,6,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] [3,2,1,8,5,7,6,4]=>{{1,3},{2},{4,8},{5},{6,7}}=>[3,2,1,8,5,7,6,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] [3,2,1,8,6,5,7,4]=>{{1,3},{2},{4,8},{5,6},{7}}=>[3,2,1,8,6,5,7,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] [3,2,1,8,6,7,5,4]=>{{1,3},{2},{4,8},{5,6,7}}=>[3,2,1,8,6,7,5,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] [3,2,7,4,6,5,8,1]=>{{1,3,7,8},{2},{4},{5,6}}=>[3,2,7,4,6,5,8,1]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0] [3,2,7,5,4,6,1,8]=>{{1,3,7},{2},{4,5},{6},{8}}=>[3,2,7,5,4,6,1,8]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0] [4,2,3,1,6,5,8,7]=>{{1,4},{2},{3},{5,6},{7,8}}=>[4,2,3,1,6,5,8,7]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] [4,2,3,1,6,7,8,5]=>{{1,4},{2},{3},{5,6,7,8}}=>[4,2,3,1,6,7,8,5]=>[1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0] [4,2,3,1,8,6,7,5]=>{{1,4},{2},{3},{5,8},{6},{7}}=>[4,2,3,1,8,6,7,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] [4,2,3,1,8,7,6,5]=>{{1,4},{2},{3},{5,8},{6,7}}=>[4,2,3,1,8,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] [4,2,3,5,1,8,7,6]=>{{1,4,5},{2},{3},{6,8},{7}}=>[4,2,3,5,1,8,7,6]=>[1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0] [4,2,3,7,6,5,8,1]=>{{1,4,7,8},{2},{3},{5,6}}=>[4,2,3,7,6,5,8,1]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0] [7,2,3,4,6,5,1,8]=>{{1,7},{2},{3},{4},{5,6},{8}}=>[7,2,3,4,6,5,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] [6,2,3,5,4,1,7,8]=>{{1,6},{2},{3},{4,5},{7},{8}}=>[6,2,3,5,4,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] [7,2,3,6,5,4,1,8]=>{{1,7},{2},{3},{4,6},{5},{8}}=>[7,2,3,6,5,4,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] [5,2,4,3,1,6,7,8]=>{{1,5},{2},{3,4},{6},{7},{8}}=>[5,2,4,3,1,6,7,8]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] [5,2,4,3,1,8,7,6]=>{{1,5},{2},{3,4},{6,8},{7}}=>[5,2,4,3,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] [5,2,4,3,6,1,8,7]=>{{1,5,6},{2},{3,4},{7,8}}=>[5,2,4,3,6,1,8,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0] [5,2,4,3,7,6,8,1]=>{{1,5,7,8},{2},{3,4},{6}}=>[5,2,4,3,7,6,8,1]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0] [7,2,4,3,6,5,8,1]=>{{1,7,8},{2},{3,4},{5,6}}=>[7,2,4,3,6,5,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] [4,3,2,1,8,6,7,5]=>{{1,4},{2,3},{5,8},{6},{7}}=>[4,3,2,1,8,6,7,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] [4,3,2,7,5,6,8,1]=>{{1,4,7,8},{2,3},{5},{6}}=>[4,3,2,7,5,6,8,1]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0] [4,3,2,8,5,7,6,1]=>{{1,4,8},{2,3},{5},{6,7}}=>[4,3,2,8,5,7,6,1]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0] [5,3,2,4,1,8,7,6]=>{{1,5},{2,3},{4},{6,8},{7}}=>[5,3,2,4,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] [6,3,2,5,4,1,8,7]=>{{1,6},{2,3},{4,5},{7,8}}=>[6,3,2,5,4,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] [8,3,2,5,4,7,6,1]=>{{1,8},{2,3},{4,5},{6,7}}=>[8,3,2,5,4,7,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,3,2,7,6,5,4,1]=>{{1,8},{2,3},{4,7},{5,6}}=>[8,3,2,7,6,5,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [5,3,4,2,1,7,8,6]=>{{1,5},{2,3,4},{6,7,8}}=>[5,3,4,2,1,7,8,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0] [5,3,4,2,1,8,7,6]=>{{1,5},{2,3,4},{6,8},{7}}=>[5,3,4,2,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] [8,3,7,4,6,5,2,1]=>{{1,8},{2,3,7},{4},{5,6}}=>[8,3,7,4,6,5,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [7,4,3,6,5,2,1,8]=>{{1,7},{2,4,6},{3},{5},{8}}=>[7,4,3,6,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] [8,5,4,3,2,7,6,1]=>{{1,8},{2,5},{3,4},{6,7}}=>[8,5,4,3,2,7,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,7,4,3,6,5,2,1]=>{{1,8},{2,7},{3,4},{5,6}}=>[8,7,4,3,6,5,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [2,4,1,3,6,5,8,7]=>{{1,2,4},{3},{5,6},{7,8}}=>[2,4,3,1,6,5,8,7]=>[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0] [2,1,4,6,3,5,8,7]=>{{1,2},{3,4,6},{5},{7,8}}=>[2,1,4,6,5,3,8,7]=>[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] [2,4,1,6,3,5,8,7]=>{{1,2,4,6},{3},{5},{7,8}}=>[2,4,3,6,5,1,8,7]=>[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0] [2,4,6,1,3,5,8,7]=>{{1,2,4},{3,6},{5},{7,8}}=>[2,4,6,1,5,3,8,7]=>[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0] [2,1,4,3,6,8,5,7]=>{{1,2},{3,4},{5,6,8},{7}}=>[2,1,4,3,6,8,7,5]=>[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] [2,4,1,3,6,8,5,7]=>{{1,2,4},{3},{5,6,8},{7}}=>[2,4,3,1,6,8,7,5]=>[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0] [2,1,4,6,3,8,5,7]=>{{1,2},{3,4,6,8},{5},{7}}=>[2,1,4,6,5,8,7,3]=>[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] [2,4,1,6,3,8,5,7]=>{{1,2,4,6,8},{3},{5},{7}}=>[2,4,3,6,5,8,7,1]=>[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0] [2,4,6,1,3,8,5,7]=>{{1,2,4},{3,6,8},{5},{7}}=>[2,4,6,1,5,8,7,3]=>[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0] [2,1,4,6,8,3,5,7]=>{{1,2},{3,4,6},{5,8},{7}}=>[2,1,4,6,8,3,7,5]=>[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] [2,4,1,6,8,3,5,7]=>{{1,2,4,6},{3},{5,8},{7}}=>[2,4,3,6,8,1,7,5]=>[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0] [2,4,6,1,8,3,5,7]=>{{1,2,4},{3,6},{5,8},{7}}=>[2,4,6,1,8,3,7,5]=>[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0] [2,4,6,8,1,3,5,7]=>{{1,2,4,8},{3,6},{5},{7}}=>[2,4,6,8,5,3,7,1]=>[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0] [2,4,1,3,6,7,8,5]=>{{1,2,4},{3},{5,6,7,8}}=>[2,4,3,1,6,7,8,5]=>[1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0] [2,4,1,6,3,7,8,5]=>{{1,2,4,6,7,8},{3},{5}}=>[2,4,3,6,5,7,8,1]=>[1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0] [2,4,6,1,7,3,8,5]=>{{1,2,4},{3,6},{5,7,8}}=>[2,4,6,1,7,3,8,5]=>[1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0] [2,4,1,6,7,8,3,5]=>{{1,2,4,6,8},{3},{5,7}}=>[2,4,3,6,7,8,5,1]=>[1,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0] [2,4,6,7,1,8,3,5]=>{{1,2,4,7},{3,6,8},{5}}=>[2,4,6,7,5,8,1,3]=>[1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0] [2,1,4,3,7,5,8,6]=>{{1,2},{3,4},{5,7,8},{6}}=>[2,1,4,3,7,6,8,5]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] [2,4,1,3,7,5,8,6]=>{{1,2,4},{3},{5,7,8},{6}}=>[2,4,3,1,7,6,8,5]=>[1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0] [2,4,7,1,3,5,8,6]=>{{1,2,4},{3,7,8},{5},{6}}=>[2,4,7,1,5,6,8,3]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0] [2,1,4,3,7,8,5,6]=>{{1,2},{3,4},{5,7},{6,8}}=>[2,1,4,3,7,8,5,6]=>[1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] [2,4,1,3,7,8,5,6]=>{{1,2,4},{3},{5,7},{6,8}}=>[2,4,3,1,7,8,5,6]=>[1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0] [2,4,7,8,1,3,5,6]=>{{1,2,4,8},{3,7},{5},{6}}=>[2,4,7,8,5,6,3,1]=>[1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0] [2,1,4,5,8,3,6,7]=>{{1,2},{3,4,5,8},{6},{7}}=>[2,1,4,5,8,6,7,3]=>[1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0] [2,4,1,5,6,3,8,7]=>{{1,2,4,5,6},{3},{7,8}}=>[2,4,3,5,6,1,8,7]=>[1,1,0,1,1,0,0,1,0,1,0,0,1,1,0,0] [2,4,1,5,6,7,8,3]=>{{1,2,4,5,6,7,8},{3}}=>[2,4,3,5,6,7,8,1]=>[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0] [2,4,5,6,1,7,8,3]=>{{1,2,4,6,7,8},{3,5}}=>[2,4,5,6,3,7,8,1]=>[1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0] [2,4,5,6,7,1,8,3]=>{{1,2,4,6},{3,5,7,8}}=>[2,4,5,6,7,1,8,3]=>[1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0] [2,4,5,6,7,8,1,3]=>{{1,2,4,6,8},{3,5,7}}=>[2,4,5,6,7,8,3,1]=>[1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0] [2,1,5,3,6,4,8,7]=>{{1,2},{3,5,6},{4},{7,8}}=>[2,1,5,4,6,3,8,7]=>[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] [2,1,5,6,3,4,8,7]=>{{1,2},{3,5},{4,6},{7,8}}=>[2,1,5,6,3,4,8,7]=>[1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] [2,5,6,8,1,3,4,7]=>{{1,2,5},{3,6},{4,8},{7}}=>[2,5,6,8,1,3,7,4]=>[1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0] [2,1,5,6,7,8,3,4]=>{{1,2},{3,5,7},{4,6,8}}=>[2,1,5,6,7,8,3,4]=>[1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0] [2,5,6,7,8,1,3,4]=>{{1,2,5,8},{3,6},{4,7}}=>[2,5,6,7,8,3,4,1]=>[1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0] [2,1,5,3,7,4,8,6]=>{{1,2},{3,5,7,8},{4},{6}}=>[2,1,5,4,7,6,8,3]=>[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] [2,5,1,7,3,4,8,6]=>{{1,2,5},{3},{4,7,8},{6}}=>[2,5,3,7,1,6,8,4]=>[1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0] [2,1,5,7,3,8,4,6]=>{{1,2},{3,5},{4,7},{6,8}}=>[2,1,5,7,3,8,4,6]=>[1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] [2,1,5,7,8,3,4,6]=>{{1,2},{3,5,8},{4,7},{6}}=>[2,1,5,7,8,6,4,3]=>[1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0] [2,5,7,1,8,3,4,6]=>{{1,2,5,8},{3,7},{4},{6}}=>[2,5,7,4,8,6,3,1]=>[1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0] [2,5,7,8,1,3,4,6]=>{{1,2,5},{3,7},{4,8},{6}}=>[2,5,7,8,1,6,3,4]=>[1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0] [2,3,5,1,7,4,8,6]=>{{1,2,3,5,7,8},{4},{6}}=>[2,3,5,4,7,6,8,1]=>[1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0] [2,3,5,1,6,4,7,8]=>{{1,2,3,5,6},{4},{7},{8}}=>[2,3,5,4,6,1,7,8]=>[1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0] [2,3,5,1,6,7,8,4]=>{{1,2,3,5,6,7,8},{4}}=>[2,3,5,4,6,7,8,1]=>[1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0] [2,3,5,6,1,7,8,4]=>{{1,2,3,5},{4,6,7,8}}=>[2,3,5,6,1,7,8,4]=>[1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0] [2,3,5,6,7,8,1,4]=>{{1,2,3,5,7},{4,6,8}}=>[2,3,5,6,7,8,1,4]=>[1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0] [2,1,6,3,7,4,8,5]=>{{1,2},{3,6},{4},{5,7,8}}=>[2,1,6,4,7,3,8,5]=>[1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] [2,6,7,1,3,4,8,5]=>{{1,2,6},{3,7,8},{4},{5}}=>[2,6,7,4,5,1,8,3]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0] [2,1,6,3,7,8,4,5]=>{{1,2},{3,6,8},{4},{5,7}}=>[2,1,6,4,7,8,5,3]=>[1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0] [2,6,1,7,3,8,4,5]=>{{1,2,6,8},{3},{4,7},{5}}=>[2,6,3,7,5,8,4,1]=>[1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0] [2,1,6,7,8,3,4,5]=>{{1,2},{3,6},{4,7},{5,8}}=>[2,1,6,7,8,3,4,5]=>[1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] [2,6,7,8,1,3,4,5]=>{{1,2,6},{3,7},{4,8},{5}}=>[2,6,7,8,5,1,3,4]=>[1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0] [2,3,1,6,4,7,5,8]=>{{1,2,3},{4,6,7},{5},{8}}=>[2,3,1,6,5,7,4,8]=>[1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0] [2,1,6,3,4,7,8,5]=>{{1,2},{3,6,7,8},{4},{5}}=>[2,1,6,4,5,7,8,3]=>[1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] [2,3,1,6,4,8,5,7]=>{{1,2,3},{4,6,8},{5},{7}}=>[2,3,1,6,5,8,7,4]=>[1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0] [2,3,1,6,8,4,5,7]=>{{1,2,3},{4,6},{5,8},{7}}=>[2,3,1,6,8,4,7,5]=>[1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0] [2,3,6,1,4,5,8,7]=>{{1,2,3,6},{4},{5},{7,8}}=>[2,3,6,4,5,1,8,7]=>[1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0] [2,3,4,1,6,8,5,7]=>{{1,2,3,4},{5,6,8},{7}}=>[2,3,4,1,6,8,7,5]=>[1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0] [2,3,4,6,1,7,5,8]=>{{1,2,3,4,6,7},{5},{8}}=>[2,3,4,6,5,7,1,8]=>[1,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0] [2,3,4,6,7,8,1,5]=>{{1,2,3,4,6,8},{5,7}}=>[2,3,4,6,7,8,5,1]=>[1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] [2,3,1,7,4,8,5,6]=>{{1,2,3},{4,7},{5},{6,8}}=>[2,3,1,7,5,8,4,6]=>[1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0] [2,3,4,1,7,5,8,6]=>{{1,2,3,4},{5,7,8},{6}}=>[2,3,4,1,7,6,8,5]=>[1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0] [2,3,4,1,7,8,5,6]=>{{1,2,3,4},{5,7},{6,8}}=>[2,3,4,1,7,8,5,6]=>[1,1,0,1,0,1,0,0,1,1,1,0,1,0,0,0] [2,3,4,5,7,1,8,6]=>{{1,2,3,4,5,7,8},{6}}=>[2,3,4,5,7,6,8,1]=>[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] [2,3,4,5,7,8,1,6]=>{{1,2,3,4,5,7},{6,8}}=>[2,3,4,5,7,8,1,6]=>[1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] [2,8,1,3,4,5,6,7]=>{{1,2,8},{3},{4},{5},{6},{7}}=>[2,8,3,4,5,6,7,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] [2,3,4,8,1,5,6,7]=>{{1,2,3,4,8},{5},{6},{7}}=>[2,3,4,8,5,6,7,1]=>[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0] [2,3,4,5,1,8,6,7]=>{{1,2,3,4,5},{6,8},{7}}=>[2,3,4,5,1,8,7,6]=>[1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0] [2,3,4,5,8,1,6,7]=>{{1,2,3,4,5,8},{6},{7}}=>[2,3,4,5,8,6,7,1]=>[1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] [2,3,4,5,6,8,1,7]=>{{1,2,3,4,5,6,8},{7}}=>[2,3,4,5,6,8,7,1]=>[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] [3,1,4,2,6,5,8,7]=>{{1,3,4},{2},{5,6},{7,8}}=>[3,2,4,1,6,5,8,7]=>[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] [3,4,1,2,6,5,8,7]=>{{1,3},{2,4},{5,6},{7,8}}=>[3,4,1,2,6,5,8,7]=>[1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] [3,1,4,2,6,8,5,7]=>{{1,3,4},{2},{5,6,8},{7}}=>[3,2,4,1,6,8,7,5]=>[1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0] [3,4,1,2,6,8,5,7]=>{{1,3},{2,4},{5,6,8},{7}}=>[3,4,1,2,6,8,7,5]=>[1,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0] [3,4,6,8,1,2,5,7]=>{{1,3,6},{2,4,8},{5},{7}}=>[3,4,6,8,5,1,7,2]=>[1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0] [3,1,4,2,6,7,8,5]=>{{1,3,4},{2},{5,6,7,8}}=>[3,2,4,1,6,7,8,5]=>[1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0] [3,4,1,2,6,7,8,5]=>{{1,3},{2,4},{5,6,7,8}}=>[3,4,1,2,6,7,8,5]=>[1,1,1,0,1,0,0,0,1,1,0,1,0,1,0,0] [3,4,6,1,7,8,2,5]=>{{1,3,6,8},{2,4},{5,7}}=>[3,4,6,2,7,8,5,1]=>[1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0] [3,1,4,2,7,5,8,6]=>{{1,3,4},{2},{5,7,8},{6}}=>[3,2,4,1,7,6,8,5]=>[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] [3,4,1,2,7,8,5,6]=>{{1,3},{2,4},{5,7},{6,8}}=>[3,4,1,2,7,8,5,6]=>[1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] [3,4,7,1,8,2,5,6]=>{{1,3,7},{2,4},{5,8},{6}}=>[3,4,7,2,8,6,1,5]=>[1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0] [3,4,7,8,1,2,5,6]=>{{1,3,7},{2,4,8},{5},{6}}=>[3,4,7,8,5,6,1,2]=>[1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0] [3,4,5,8,1,2,6,7]=>{{1,3,5},{2,4,8},{6},{7}}=>[3,4,5,8,1,6,7,2]=>[1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0] [3,1,4,2,5,6,7,8]=>{{1,3,4},{2},{5},{6},{7},{8}}=>[3,2,4,1,5,6,7,8]=>[1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0] [3,1,4,5,6,7,8,2]=>{{1,3,4,5,6,7,8},{2}}=>[3,2,4,5,6,7,8,1]=>[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] [3,4,1,5,6,7,8,2]=>{{1,3},{2,4,5,6,7,8}}=>[3,4,1,5,6,7,8,2]=>[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] [3,4,5,6,7,1,8,2]=>{{1,3,5,7,8},{2,4,6}}=>[3,4,5,6,7,2,8,1]=>[1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0] [3,1,5,2,6,4,8,7]=>{{1,3,5,6},{2},{4},{7,8}}=>[3,2,5,4,6,1,8,7]=>[1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] [3,5,1,6,2,4,8,7]=>{{1,3},{2,5},{4,6},{7,8}}=>[3,5,1,6,2,4,8,7]=>[1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0] [3,5,6,1,2,4,8,7]=>{{1,3,6},{2,5},{4},{7,8}}=>[3,5,6,4,2,1,8,7]=>[1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0] [3,1,5,6,2,8,4,7]=>{{1,3,5},{2},{4,6,8},{7}}=>[3,2,5,6,1,8,7,4]=>[1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0] [3,5,6,1,8,2,4,7]=>{{1,3,6},{2,5,8},{4},{7}}=>[3,5,6,4,8,1,7,2]=>[1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0] [3,5,6,8,1,2,4,7]=>{{1,3,6},{2,5},{4,8},{7}}=>[3,5,6,8,2,1,7,4]=>[1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0] [3,5,6,1,7,8,2,4]=>{{1,3,6,8},{2,5,7},{4}}=>[3,5,6,4,7,8,2,1]=>[1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0] [3,5,6,7,8,1,2,4]=>{{1,3,6},{2,5,8},{4,7}}=>[3,5,6,7,8,1,4,2]=>[1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0] [3,1,5,2,7,4,8,6]=>{{1,3,5,7,8},{2},{4},{6}}=>[3,2,5,4,7,6,8,1]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] [3,1,5,7,2,4,8,6]=>{{1,3,5},{2},{4,7,8},{6}}=>[3,2,5,7,1,6,8,4]=>[1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0] [3,1,5,7,2,8,4,6]=>{{1,3,5},{2},{4,7},{6,8}}=>[3,2,5,7,1,8,4,6]=>[1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0] [3,5,1,7,2,8,4,6]=>{{1,3},{2,5},{4,7},{6,8}}=>[3,5,1,7,2,8,4,6]=>[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0] [3,5,1,7,8,2,4,6]=>{{1,3},{2,5,8},{4,7},{6}}=>[3,5,1,7,8,6,4,2]=>[1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0] [3,5,7,8,1,2,4,6]=>{{1,3,7},{2,5},{4,8},{6}}=>[3,5,7,8,2,6,1,4]=>[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] [3,1,5,2,7,4,6,8]=>{{1,3,5,7},{2},{4},{6},{8}}=>[3,2,5,4,7,6,1,8]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] [1,3,5,2,7,4,8,6]=>{{1},{2,3,5,7,8},{4},{6}}=>[1,3,5,4,7,6,8,2]=>[1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0] [1,3,2,5,4,8,6,7]=>{{1},{2,3},{4,5},{6,8},{7}}=>[1,3,2,5,4,8,7,6]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] [1,3,5,2,6,7,4,8]=>{{1},{2,3,5,6,7},{4},{8}}=>[1,3,5,4,6,7,2,8]=>[1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0] [1,3,5,6,2,7,4,8]=>{{1},{2,3,5},{4,6,7},{8}}=>[1,3,5,6,2,7,4,8]=>[1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0] [1,3,5,6,7,8,2,4]=>{{1},{2,3,5,7},{4,6,8}}=>[1,3,5,6,7,8,2,4]=>[1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0] [3,1,6,2,7,4,8,5]=>{{1,3,6},{2},{4},{5,7,8}}=>[3,2,6,4,7,1,8,5]=>[1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] [3,6,1,7,2,4,8,5]=>{{1,3},{2,6},{4,7,8},{5}}=>[3,6,1,7,5,2,8,4]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0] [3,6,7,1,2,8,4,5]=>{{1,3,7},{2,6,8},{4},{5}}=>[3,6,7,4,5,8,1,2]=>[1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0] [3,6,1,7,8,2,4,5]=>{{1,3},{2,6},{4,7},{5,8}}=>[3,6,1,7,8,2,4,5]=>[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0] [3,6,7,8,1,2,4,5]=>{{1,3,7},{2,6},{4,8},{5}}=>[3,6,7,8,5,2,1,4]=>[1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0] [3,1,6,7,2,4,5,8]=>{{1,3,6},{2},{4,7},{5},{8}}=>[3,2,6,7,5,1,4,8]=>[1,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0] [1,3,2,6,4,7,5,8]=>{{1},{2,3},{4,6,7},{5},{8}}=>[1,3,2,6,5,7,4,8]=>[1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] [1,3,6,2,4,7,8,5]=>{{1},{2,3,6,7,8},{4},{5}}=>[1,3,6,4,5,7,8,2]=>[1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0] [3,1,2,6,7,4,8,5]=>{{1,3},{2},{4,6},{5,7,8}}=>[3,2,1,6,7,4,8,5]=>[1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0] [3,1,6,2,8,4,5,7]=>{{1,3,6},{2},{4},{5,8},{7}}=>[3,2,6,4,8,1,7,5]=>[1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0] [1,3,2,6,4,8,5,7]=>{{1},{2,3},{4,6,8},{5},{7}}=>[1,3,2,6,5,8,7,4]=>[1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] [3,1,2,4,6,7,8,5]=>{{1,3},{2},{4},{5,6,7,8}}=>[3,2,1,4,6,7,8,5]=>[1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,0] [1,3,4,6,7,2,8,5]=>{{1},{2,3,4,6},{5,7,8}}=>[1,3,4,6,7,2,8,5]=>[1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0] [1,3,7,2,8,4,5,6]=>{{1},{2,3,7},{4},{5,8},{6}}=>[1,3,7,4,8,6,2,5]=>[1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0] [1,3,4,5,7,8,2,6]=>{{1},{2,3,4,5,7},{6,8}}=>[1,3,4,5,7,8,2,6]=>[1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0] [3,1,8,2,4,5,6,7]=>{{1,3,8},{2},{4},{5},{6},{7}}=>[3,2,8,4,5,6,7,1]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0] [3,1,2,4,5,8,6,7]=>{{1,3},{2},{4},{5},{6,8},{7}}=>[3,2,1,4,5,8,7,6]=>[1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0] [4,1,5,2,6,3,8,7]=>{{1,4},{2},{3,5,6},{7,8}}=>[4,2,5,1,6,3,8,7]=>[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] [4,5,6,1,2,3,8,7]=>{{1,4},{2,5},{3,6},{7,8}}=>[4,5,6,1,2,3,8,7]=>[1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0] [4,1,5,2,6,8,3,7]=>{{1,4},{2},{3,5,6,8},{7}}=>[4,2,5,1,6,8,7,3]=>[1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0] [4,5,1,6,2,8,3,7]=>{{1,4,6,8},{2,5},{3},{7}}=>[4,5,3,6,2,8,7,1]=>[1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0] [4,5,6,1,2,8,3,7]=>{{1,4},{2,5},{3,6,8},{7}}=>[4,5,6,1,2,8,7,3]=>[1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0] [4,1,5,6,8,2,3,7]=>{{1,4,6},{2},{3,5,8},{7}}=>[4,2,5,6,8,1,7,3]=>[1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0] [4,5,6,8,1,2,3,7]=>{{1,4,8},{2,5},{3,6},{7}}=>[4,5,6,8,2,3,7,1]=>[1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0] [4,5,1,6,2,7,3,8]=>{{1,4,6,7},{2,5},{3},{8}}=>[4,5,3,6,2,7,1,8]=>[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] [4,5,6,1,7,2,3,8]=>{{1,4},{2,5,7},{3,6},{8}}=>[4,5,6,1,7,3,2,8]=>[1,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0] [4,5,6,7,1,2,8,3]=>{{1,4,7,8},{2,5},{3,6}}=>[4,5,6,7,2,3,8,1]=>[1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0] [4,1,5,6,7,8,2,3]=>{{1,4,6,8},{2},{3,5,7}}=>[4,2,5,6,7,8,3,1]=>[1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] [4,5,6,7,1,8,2,3]=>{{1,4,7},{2,5},{3,6,8}}=>[4,5,6,7,2,8,1,3]=>[1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0] [4,1,5,2,7,3,8,6]=>{{1,4},{2},{3,5,7,8},{6}}=>[4,2,5,1,7,6,8,3]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] [4,1,5,2,7,8,3,6]=>{{1,4},{2},{3,5,7},{6,8}}=>[4,2,5,1,7,8,3,6]=>[1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0] [4,1,5,7,2,8,3,6]=>{{1,4,7},{2},{3,5},{6,8}}=>[4,2,5,7,3,8,1,6]=>[1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0] [4,5,1,7,2,8,3,6]=>{{1,4,7},{2,5},{3},{6,8}}=>[4,5,3,7,2,8,1,6]=>[1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0] [4,5,7,1,2,8,3,6]=>{{1,4},{2,5},{3,7},{6,8}}=>[4,5,7,1,2,8,3,6]=>[1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0] [4,5,1,7,8,2,3,6]=>{{1,4,7},{2,5,8},{3},{6}}=>[4,5,3,7,8,6,1,2]=>[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] [4,5,7,8,1,2,3,6]=>{{1,4,8},{2,5},{3,7},{6}}=>[4,5,7,8,2,6,3,1]=>[1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0] [4,5,1,2,7,3,6,8]=>{{1,4},{2,5,7},{3},{6},{8}}=>[4,5,3,1,7,6,2,8]=>[1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0] [1,4,2,5,3,7,6,8]=>{{1},{2,4,5},{3},{6,7},{8}}=>[1,4,3,5,2,7,6,8]=>[1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] [1,4,5,7,2,3,8,6]=>{{1},{2,4,7,8},{3,5},{6}}=>[1,4,5,7,3,6,8,2]=>[1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0] [1,4,2,5,7,8,3,6]=>{{1},{2,4,5,7},{3},{6,8}}=>[1,4,3,5,7,8,2,6]=>[1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0] [1,4,2,5,3,8,6,7]=>{{1},{2,4,5},{3},{6,8},{7}}=>[1,4,3,5,2,8,7,6]=>[1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] [4,1,2,5,6,3,8,7]=>{{1,4,5,6},{2},{3},{7,8}}=>[4,2,3,5,6,1,8,7]=>[1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0] [1,4,5,2,6,3,8,7]=>{{1},{2,4},{3,5,6},{7,8}}=>[1,4,5,2,6,3,8,7]=>[1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0] [1,4,5,6,2,7,3,8]=>{{1},{2,4,6,7},{3,5},{8}}=>[1,4,5,6,3,7,2,8]=>[1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0] [1,4,5,6,7,2,3,8]=>{{1},{2,4,6},{3,5,7},{8}}=>[1,4,5,6,7,2,3,8]=>[1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] [4,1,2,5,6,7,8,3]=>{{1,4,5,6,7,8},{2},{3}}=>[4,2,3,5,6,7,8,1]=>[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0] [1,4,2,5,6,7,8,3]=>{{1},{2,4,5,6,7,8},{3}}=>[1,4,3,5,6,7,8,2]=>[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] [1,4,5,2,6,7,8,3]=>{{1},{2,4},{3,5,6,7,8}}=>[1,4,5,2,6,7,8,3]=>[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] [1,4,5,6,7,8,2,3]=>{{1},{2,4,6,8},{3,5,7}}=>[1,4,5,6,7,8,3,2]=>[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] [4,1,6,2,7,3,8,5]=>{{1,4},{2},{3,6},{5,7,8}}=>[4,2,6,1,7,3,8,5]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] [4,6,1,2,7,8,3,5]=>{{1,4},{2,6,8},{3},{5,7}}=>[4,6,3,1,7,8,5,2]=>[1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0] [4,6,7,1,8,2,3,5]=>{{1,4},{2,6},{3,7},{5,8}}=>[4,6,7,1,8,2,3,5]=>[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0] [4,6,7,8,1,2,3,5]=>{{1,4,8},{2,6},{3,7},{5}}=>[4,6,7,8,5,2,3,1]=>[1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0] [4,6,1,7,2,3,5,8]=>{{1,4,7},{2,6},{3},{5},{8}}=>[4,6,3,7,5,2,1,8]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0] [1,4,2,6,3,7,5,8]=>{{1},{2,4,6,7},{3},{5},{8}}=>[1,4,3,6,5,7,2,8]=>[1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] [4,1,6,2,3,7,8,5]=>{{1,4},{2},{3,6,7,8},{5}}=>[4,2,6,1,5,7,8,3]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0] [1,4,6,2,7,3,8,5]=>{{1},{2,4},{3,6},{5,7,8}}=>[1,4,6,2,7,3,8,5]=>[1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0] [1,4,2,6,7,8,3,5]=>{{1},{2,4,6,8},{3},{5,7}}=>[1,4,3,6,7,8,5,2]=>[1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0] [1,4,6,2,7,8,3,5]=>{{1},{2,4},{3,6,8},{5,7}}=>[1,4,6,2,7,8,5,3]=>[1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0] [1,4,2,6,3,8,5,7]=>{{1},{2,4,6,8},{3},{5},{7}}=>[1,4,3,6,5,8,7,2]=>[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] [4,1,2,3,6,5,8,7]=>{{1,4},{2},{3},{5,6},{7,8}}=>[4,2,3,1,6,5,8,7]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] [4,1,2,3,6,7,8,5]=>{{1,4},{2},{3},{5,6,7,8}}=>[4,2,3,1,6,7,8,5]=>[1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0] [1,4,2,3,6,7,8,5]=>{{1},{2,4},{3},{5,6,7,8}}=>[1,4,3,2,6,7,8,5]=>[1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0] [1,2,4,6,7,8,3,5]=>{{1},{2},{3,4,6,8},{5,7}}=>[1,2,4,6,7,8,5,3]=>[1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0] [1,4,2,7,8,3,5,6]=>{{1},{2,4,7},{3},{5,8},{6}}=>[1,4,3,7,8,6,2,5]=>[1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0] [1,4,2,3,7,5,6,8]=>{{1},{2,4},{3},{5,7},{6},{8}}=>[1,4,3,2,7,6,5,8]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] [4,8,1,2,3,5,6,7]=>{{1,4},{2,8},{3},{5},{6},{7}}=>[4,8,3,1,5,6,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] [1,4,2,8,3,5,6,7]=>{{1},{2,4,8},{3},{5},{6},{7}}=>[1,4,3,8,5,6,7,2]=>[1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] [4,1,2,3,8,5,6,7]=>{{1,4},{2},{3},{5,8},{6},{7}}=>[4,2,3,1,8,6,7,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] [4,1,2,3,5,8,6,7]=>{{1,4},{2},{3},{5},{6,8},{7}}=>[4,2,3,1,5,8,7,6]=>[1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0] [1,4,2,3,5,8,6,7]=>{{1},{2,4},{3},{5},{6,8},{7}}=>[1,4,3,2,5,8,7,6]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] [5,1,6,2,7,3,8,4]=>{{1,5,7,8},{2},{3,6},{4}}=>[5,2,6,4,7,3,8,1]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] [5,6,1,2,7,8,3,4]=>{{1,5,7},{2,6,8},{3},{4}}=>[5,6,3,4,7,8,1,2]=>[1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0] [1,5,2,6,3,7,4,8]=>{{1},{2,5},{3},{4,6,7},{8}}=>[1,5,3,6,2,7,4,8]=>[1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] [5,6,1,2,3,7,8,4]=>{{1,5},{2,6,7,8},{3},{4}}=>[5,6,3,4,1,7,8,2]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0] [1,5,6,7,8,2,3,4]=>{{1},{2,5,8},{3,6},{4,7}}=>[1,5,6,7,8,3,4,2]=>[1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] [1,5,2,6,3,8,4,7]=>{{1},{2,5},{3},{4,6,8},{7}}=>[1,5,3,6,2,8,7,4]=>[1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0] [1,5,6,2,3,8,4,7]=>{{1},{2,5},{3,6,8},{4},{7}}=>[1,5,6,4,2,8,7,3]=>[1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0] [1,2,5,6,3,4,7,8]=>{{1},{2},{3,5},{4,6},{7},{8}}=>[1,2,5,6,3,4,7,8]=>[1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0] [5,1,2,3,6,7,8,4]=>{{1,5,6,7,8},{2},{3},{4}}=>[5,2,3,4,6,7,8,1]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0] [1,5,2,3,6,7,8,4]=>{{1},{2,5,6,7,8},{3},{4}}=>[1,5,3,4,6,7,8,2]=>[1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0] [1,2,5,3,6,7,8,4]=>{{1},{2},{3,5,6,7,8},{4}}=>[1,2,5,4,6,7,8,3]=>[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] [1,2,5,6,3,7,8,4]=>{{1},{2},{3,5},{4,6,7,8}}=>[1,2,5,6,3,7,8,4]=>[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] [1,2,5,6,7,3,8,4]=>{{1},{2},{3,5,7,8},{4,6}}=>[1,2,5,6,7,4,8,3]=>[1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0] [1,2,5,6,7,8,3,4]=>{{1},{2},{3,5,7},{4,6,8}}=>[1,2,5,6,7,8,3,4]=>[1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] [1,5,2,7,3,8,4,6]=>{{1},{2,5},{3},{4,7},{6,8}}=>[1,5,3,7,2,8,4,6]=>[1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0] [1,5,7,2,8,3,4,6]=>{{1},{2,5,8},{3,7},{4},{6}}=>[1,5,7,4,8,6,3,2]=>[1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0] [1,5,2,7,3,4,6,8]=>{{1},{2,5},{3},{4,7},{6},{8}}=>[1,5,3,7,2,6,4,8]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0] [5,1,2,8,3,4,6,7]=>{{1,5},{2},{3},{4,8},{6},{7}}=>[5,2,3,8,1,6,7,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] [1,5,8,2,3,4,6,7]=>{{1},{2,5},{3,8},{4},{6},{7}}=>[1,5,8,4,2,6,7,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] [1,2,5,3,8,4,6,7]=>{{1},{2},{3,5,8},{4},{6},{7}}=>[1,2,5,4,8,6,7,3]=>[1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0] [1,5,2,3,4,8,6,7]=>{{1},{2,5},{3},{4},{6,8},{7}}=>[1,5,3,4,2,8,7,6]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] [1,6,2,7,3,8,4,5]=>{{1},{2,6,8},{3},{4,7},{5}}=>[1,6,3,7,5,8,4,2]=>[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0] [1,6,7,8,2,3,4,5]=>{{1},{2,6},{3,7},{4,8},{5}}=>[1,6,7,8,5,2,3,4]=>[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] [6,1,2,7,3,4,5,8]=>{{1,6},{2},{3},{4,7},{5},{8}}=>[6,2,3,7,5,1,4,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] [1,6,7,2,3,4,5,8]=>{{1},{2,6},{3,7},{4},{5},{8}}=>[1,6,7,4,5,2,3,8]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] [6,1,2,3,4,7,8,5]=>{{1,6,7,8},{2},{3},{4},{5}}=>[6,2,3,4,5,7,8,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0] [1,2,3,6,4,7,8,5]=>{{1},{2},{3},{4,6,7,8},{5}}=>[1,2,3,6,5,7,8,4]=>[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] [6,1,8,2,3,4,5,7]=>{{1,6},{2},{3,8},{4},{5},{7}}=>[6,2,8,4,5,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] [1,6,2,8,3,4,5,7]=>{{1},{2,6},{3},{4,8},{5},{7}}=>[1,6,3,8,5,2,7,4]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] [1,2,3,6,4,8,5,7]=>{{1},{2},{3},{4,6,8},{5},{7}}=>[1,2,3,6,5,8,7,4]=>[1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0] [6,1,2,3,4,5,8,7]=>{{1,6},{2},{3},{4},{5},{7,8}}=>[6,2,3,4,5,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] [1,7,8,2,3,4,5,6]=>{{1},{2,7},{3,8},{4},{5},{6}}=>[1,7,8,4,5,6,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] [7,1,2,3,4,8,5,6]=>{{1,7},{2},{3},{4},{5},{6,8}}=>[7,2,3,4,5,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] [7,1,2,3,4,5,8,6]=>{{1,7,8},{2},{3},{4},{5},{6}}=>[7,2,3,4,5,6,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] [1,2,3,4,7,5,8,6]=>{{1},{2},{3},{4},{5,7,8},{6}}=>[1,2,3,4,7,6,8,5]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] [1,2,3,4,7,8,5,6]=>{{1},{2},{3},{4},{5,7},{6,8}}=>[1,2,3,4,7,8,5,6]=>[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] [1,8,2,3,4,5,6,7]=>{{1},{2,8},{3},{4},{5},{6},{7}}=>[1,8,3,4,5,6,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,2,3,8,4,5,6,7]=>{{1},{2},{3},{4,8},{5},{6},{7}}=>[1,2,3,8,5,6,7,4]=>[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] [1,2,3,4,8,5,6,7]=>{{1},{2},{3},{4},{5,8},{6},{7}}=>[1,2,3,4,8,6,7,5]=>[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] [1,2,3,4,5,8,6,7]=>{{1},{2},{3},{4},{5},{6,8},{7}}=>[1,2,3,4,5,8,7,6]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] [5,3,2,6,1,4,8,7]=>{{1,5},{2,3},{4,6},{7,8}}=>[5,3,2,6,1,4,8,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0] [7,3,2,5,4,8,1,6]=>{{1,7},{2,3},{4,5},{6,8}}=>[7,3,2,5,4,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] [8,4,5,2,3,7,6,1]=>{{1,8},{2,4},{3,5},{6,7}}=>[8,4,5,2,3,7,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [7,4,5,2,3,8,1,6]=>{{1,7},{2,4},{3,5},{6,8}}=>[7,4,5,2,3,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] [6,4,5,2,3,1,8,7]=>{{1,6},{2,4},{3,5},{7,8}}=>[6,4,5,2,3,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] [5,4,6,2,1,3,8,7]=>{{1,5},{2,4},{3,6},{7,8}}=>[5,4,6,2,1,3,8,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0] [3,6,1,5,4,2,8,7]=>{{1,3},{2,6},{4,5},{7,8}}=>[3,6,1,5,4,2,8,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0] [4,6,5,1,3,2,8,7]=>{{1,4},{2,6},{3,5},{7,8}}=>[4,6,5,1,3,2,8,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0] [5,6,4,3,1,2,8,7]=>{{1,5},{2,6},{3,4},{7,8}}=>[5,6,4,3,1,2,8,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0] [7,5,4,3,2,8,1,6]=>{{1,7},{2,5},{3,4},{6,8}}=>[7,5,4,3,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] [8,6,4,3,7,2,5,1]=>{{1,8},{2,6},{3,4},{5,7}}=>[8,6,4,3,7,2,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [7,6,4,3,8,2,1,5]=>{{1,7},{2,6},{3,4},{5,8}}=>[7,6,4,3,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] [6,7,4,3,8,1,2,5]=>{{1,6},{2,7},{3,4},{5,8}}=>[6,7,4,3,8,1,2,5]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0] [5,7,4,3,1,8,2,6]=>{{1,5},{2,7},{3,4},{6,8}}=>[5,7,4,3,1,8,2,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0] [4,7,5,1,3,8,2,6]=>{{1,4},{2,7},{3,5},{6,8}}=>[4,7,5,1,3,8,2,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0] [3,7,1,5,4,8,2,6]=>{{1,3},{2,7},{4,5},{6,8}}=>[3,7,1,5,4,8,2,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0] [2,1,7,5,4,8,3,6]=>{{1,2},{3,7},{4,5},{6,8}}=>[2,1,7,5,4,8,3,6]=>[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0] [3,8,1,5,4,7,6,2]=>{{1,3},{2,8},{4,5},{6,7}}=>[3,8,1,5,4,7,6,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] [4,8,5,1,3,7,6,2]=>{{1,4},{2,8},{3,5},{6,7}}=>[4,8,5,1,3,7,6,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] [5,8,4,3,1,7,6,2]=>{{1,5},{2,8},{3,4},{6,7}}=>[5,8,4,3,1,7,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] [6,8,4,3,7,1,5,2]=>{{1,6},{2,8},{3,4},{5,7}}=>[6,8,4,3,7,1,5,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] [7,8,4,3,6,5,1,2]=>{{1,7},{2,8},{3,4},{5,6}}=>[7,8,4,3,6,5,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] [6,8,5,7,3,1,4,2]=>{{1,6},{2,8},{3,5},{4,7}}=>[6,8,5,7,3,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] [5,8,6,7,1,3,4,2]=>{{1,5},{2,8},{3,6},{4,7}}=>[5,8,6,7,1,3,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] [4,8,6,1,7,3,5,2]=>{{1,4},{2,8},{3,6},{5,7}}=>[4,8,6,1,7,3,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] [3,8,1,6,7,4,5,2]=>{{1,3},{2,8},{4,6},{5,7}}=>[3,8,1,6,7,4,5,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] [2,1,8,6,7,4,5,3]=>{{1,2},{3,8},{4,6},{5,7}}=>[2,1,8,6,7,4,5,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] [2,1,7,6,8,4,3,5]=>{{1,2},{3,7},{4,6},{5,8}}=>[2,1,7,6,8,4,3,5]=>[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0] [3,7,1,6,8,4,2,5]=>{{1,3},{2,7},{4,6},{5,8}}=>[3,7,1,6,8,4,2,5]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0] [4,7,6,1,8,3,2,5]=>{{1,4},{2,7},{3,6},{5,8}}=>[4,7,6,1,8,3,2,5]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0] [5,7,6,8,1,3,2,4]=>{{1,5},{2,7},{3,6},{4,8}}=>[5,7,6,8,1,3,2,4]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0] [5,4,7,2,1,8,3,6]=>{{1,5},{2,4},{3,7},{6,8}}=>[5,4,7,2,1,8,3,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0] [6,4,7,2,8,1,3,5]=>{{1,6},{2,4},{3,7},{5,8}}=>[6,4,7,2,8,1,3,5]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0] [7,4,6,2,8,3,1,5]=>{{1,7},{2,4},{3,6},{5,8}}=>[7,4,6,2,8,3,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] [8,4,6,2,7,3,5,1]=>{{1,8},{2,4},{3,6},{5,7}}=>[8,4,6,2,7,3,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,3,2,6,7,4,5,1]=>{{1,8},{2,3},{4,6},{5,7}}=>[8,3,2,6,7,4,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [7,3,2,6,8,4,1,5]=>{{1,7},{2,3},{4,6},{5,8}}=>[7,3,2,6,8,4,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] [6,3,2,7,8,1,4,5]=>{{1,6},{2,3},{4,7},{5,8}}=>[6,3,2,7,8,1,4,5]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0] [5,3,2,7,1,8,4,6]=>{{1,5},{2,3},{4,7},{6,8}}=>[5,3,2,7,1,8,4,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0] [4,3,2,1,7,8,5,6]=>{{1,4},{2,3},{5,7},{6,8}}=>[4,3,2,1,7,8,5,6]=>[1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0] [3,4,1,2,8,7,6,5]=>{{1,3},{2,4},{5,8},{6,7}}=>[3,4,1,2,8,7,6,5]=>[1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] [5,3,2,8,1,7,6,4]=>{{1,5},{2,3},{4,8},{6,7}}=>[5,3,2,8,1,7,6,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] [6,3,2,8,7,1,5,4]=>{{1,6},{2,3},{4,8},{5,7}}=>[6,3,2,8,7,1,5,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] [7,3,2,8,6,5,1,4]=>{{1,7},{2,3},{4,8},{5,6}}=>[7,3,2,8,6,5,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] [8,4,7,2,6,5,3,1]=>{{1,8},{2,4},{3,7},{5,6}}=>[8,4,7,2,6,5,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [7,4,8,2,6,5,1,3]=>{{1,7},{2,4},{3,8},{5,6}}=>[7,4,8,2,6,5,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] [6,4,8,2,7,1,5,3]=>{{1,6},{2,4},{3,8},{5,7}}=>[6,4,8,2,7,1,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] [5,4,8,2,1,7,6,3]=>{{1,5},{2,4},{3,8},{6,7}}=>[5,4,8,2,1,7,6,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0] [4,5,8,1,2,7,6,3]=>{{1,4},{2,5},{3,8},{6,7}}=>[4,5,8,1,2,7,6,3]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0] [3,5,1,8,2,7,6,4]=>{{1,3},{2,5},{4,8},{6,7}}=>[3,5,1,8,2,7,6,4]=>[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0] [2,1,5,8,3,7,6,4]=>{{1,2},{3,5},{4,8},{6,7}}=>[2,1,5,8,3,7,6,4]=>[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0] [2,1,6,8,7,3,5,4]=>{{1,2},{3,6},{4,8},{5,7}}=>[2,1,6,8,7,3,5,4]=>[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0] [3,6,1,8,7,2,5,4]=>{{1,3},{2,6},{4,8},{5,7}}=>[3,6,1,8,7,2,5,4]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0] [4,6,8,1,7,2,5,3]=>{{1,4},{2,6},{3,8},{5,7}}=>[4,6,8,1,7,2,5,3]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] [5,6,8,7,1,2,4,3]=>{{1,5},{2,6},{3,8},{4,7}}=>[5,6,8,7,1,2,4,3]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0] [6,5,8,7,2,1,4,3]=>{{1,6},{2,5},{3,8},{4,7}}=>[6,5,8,7,2,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] [7,5,8,6,2,4,1,3]=>{{1,7},{2,5},{3,8},{4,6}}=>[7,5,8,6,2,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] [8,5,7,6,2,4,3,1]=>{{1,8},{2,5},{3,7},{4,6}}=>[8,5,7,6,2,4,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [5,7,8,6,1,4,2,3]=>{{1,5},{2,7},{3,8},{4,6}}=>[5,7,8,6,1,4,2,3]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0] [4,7,8,1,6,5,2,3]=>{{1,4},{2,7},{3,8},{5,6}}=>[4,7,8,1,6,5,2,3]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0] [3,7,1,8,6,5,2,4]=>{{1,3},{2,7},{4,8},{5,6}}=>[3,7,1,8,6,5,2,4]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0] [2,1,7,8,6,5,3,4]=>{{1,2},{3,7},{4,8},{5,6}}=>[2,1,7,8,6,5,3,4]=>[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] [3,8,1,7,6,5,4,2]=>{{1,3},{2,8},{4,7},{5,6}}=>[3,8,1,7,6,5,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] [4,8,7,1,6,5,3,2]=>{{1,4},{2,8},{3,7},{5,6}}=>[4,8,7,1,6,5,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] [5,8,7,6,1,4,3,2]=>{{1,5},{2,8},{3,7},{4,6}}=>[5,8,7,6,1,4,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] [6,8,7,5,4,1,3,2]=>{{1,6},{2,8},{3,7},{4,5}}=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] [2,1,4,3,6,5,8,7,10,9]=>{{1,2},{3,4},{5,6},{7,8},{9,10}}=>[2,1,4,3,6,5,8,7,10,9]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] [6,7,8,9,10,1,2,3,4,5]=>{{1,6},{2,7},{3,8},{4,9},{5,10}}=>[6,7,8,9,10,1,2,3,4,5]=>[1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0] [6,2,8,1,3,4,5,7]=>{{1,6},{2},{3,8},{4},{5},{7}}=>[6,2,8,4,5,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] [5,3,6,7,1,2,4,8]=>{{1,5},{2,3,6},{4,7},{8}}=>[5,3,6,7,1,2,4,8]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0,1,0] [6,3,5,7,1,2,4,8]=>{{1,6},{2,3,5},{4,7},{8}}=>[6,3,5,7,2,1,4,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] [4,2,6,8,1,3,5,7]=>{{1,4,8},{2},{3,6},{5},{7}}=>[4,2,6,8,5,3,7,1]=>[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0] [4,3,6,8,1,2,5,7]=>{{1,4,8},{2,3,6},{5},{7}}=>[4,3,6,8,5,2,7,1]=>[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0] [6,3,5,8,1,2,4,7]=>{{1,6},{2,3,5},{4,8},{7}}=>[6,3,5,8,2,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] [7,3,4,8,1,2,5,6]=>{{1,7},{2,3,4,8},{5},{6}}=>[7,3,4,8,5,6,1,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] [8,3,5,7,1,2,4,6]=>{{1,8},{2,3,5},{4,7},{6}}=>[8,3,5,7,2,6,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [5,6,2,4,1,3,7,8]=>{{1,5},{2,6},{3},{4},{7},{8}}=>[5,6,3,4,1,2,7,8]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0] [4,7,3,6,1,2,5,8]=>{{1,4,6},{2,7},{3},{5},{8}}=>[4,7,3,6,5,1,2,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] [6,8,2,4,1,3,5,7]=>{{1,6},{2,8},{3},{4},{5},{7}}=>[6,8,3,4,5,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] [5,8,4,7,1,2,3,6]=>{{1,5},{2,8},{3,4,7},{6}}=>[5,8,4,7,1,6,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] [6,8,5,7,1,2,3,4]=>{{1,6},{2,8},{3,5},{4,7}}=>[6,8,5,7,3,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] [7,8,2,4,1,3,5,6]=>{{1,7},{2,8},{3},{4},{5},{6}}=>[7,8,3,4,5,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] [7,8,4,6,1,2,3,5]=>{{1,7},{2,8},{3,4,6},{5}}=>[7,8,4,6,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] [5,3,2,6,1,4,7,8]=>{{1,5},{2,3},{4,6},{7},{8}}=>[5,3,2,6,1,4,7,8]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0] [5,3,2,7,1,4,6,8]=>{{1,5},{2,3},{4,7},{6},{8}}=>[5,3,2,7,1,6,4,8]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0] [7,4,2,5,1,3,6,8]=>{{1,7},{2,4,5},{3},{6},{8}}=>[7,4,3,5,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] [7,4,2,6,1,3,5,8]=>{{1,7},{2,4,6},{3},{5},{8}}=>[7,4,3,6,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] [5,3,2,8,1,4,6,7]=>{{1,5},{2,3},{4,8},{6},{7}}=>[5,3,2,8,1,6,7,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] [6,4,2,8,1,3,5,7]=>{{1,6},{2,4,8},{3},{5},{7}}=>[6,4,3,8,5,1,7,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] [6,5,4,8,1,2,3,7]=>{{1,6},{2,5},{3,4,8},{7}}=>[6,5,4,8,2,1,7,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] [8,4,2,7,1,3,5,6]=>{{1,8},{2,4,7},{3},{5},{6}}=>[8,4,3,7,5,6,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,5,4,7,1,2,3,6]=>{{1,8},{2,5},{3,4,7},{6}}=>[8,5,4,7,2,6,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,7,4,6,1,2,3,5]=>{{1,8},{2,7},{3,4,6},{5}}=>[8,7,4,6,5,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [4,7,3,5,8,1,2,6]=>{{1,4,5,8},{2,7},{3},{6}}=>[4,7,3,5,8,6,2,1]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0] [4,7,3,6,8,1,2,5]=>{{1,4,6},{2,7},{3},{5,8}}=>[4,7,3,6,8,1,2,5]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0] [4,8,3,5,7,1,2,6]=>{{1,4,5,7},{2,8},{3},{6}}=>[4,8,3,5,7,6,1,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] [6,8,2,5,7,1,3,4]=>{{1,6},{2,8},{3},{4,5,7}}=>[6,8,3,5,7,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] [7,8,2,4,6,1,3,5]=>{{1,7},{2,8},{3},{4},{5,6}}=>[7,8,3,4,6,5,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] [4,3,2,6,8,1,5,7]=>{{1,4,6},{2,3},{5,8},{7}}=>[4,3,2,6,8,1,7,5]=>[1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0] [5,4,2,6,8,1,3,7]=>{{1,5,8},{2,4,6},{3},{7}}=>[5,4,3,6,8,2,7,1]=>[1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0] [6,3,2,5,8,1,4,7]=>{{1,6},{2,3},{4,5,8},{7}}=>[6,3,2,5,8,1,7,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] [6,4,3,5,8,1,2,7]=>{{1,6},{2,4,5,8},{3},{7}}=>[6,4,3,5,8,1,7,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] [5,4,2,7,8,1,3,6]=>{{1,5,8},{2,4,7},{3},{6}}=>[5,4,3,7,8,6,2,1]=>[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0] [6,4,7,2,5,1,3,8]=>{{1,6},{2,4},{3,7},{5},{8}}=>[6,4,7,2,5,1,3,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] [4,3,8,2,6,1,5,7]=>{{1,4},{2,3,8},{5,6},{7}}=>[4,3,8,1,6,5,7,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] [6,4,8,2,5,1,3,7]=>{{1,6},{2,4},{3,8},{5},{7}}=>[6,4,8,2,5,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] [4,3,8,2,7,1,5,6]=>{{1,4},{2,3,8},{5,7},{6}}=>[4,3,8,1,7,6,5,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] [6,4,8,2,7,1,3,5]=>{{1,6},{2,4},{3,8},{5,7}}=>[6,4,8,2,7,1,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] [8,3,7,2,6,1,4,5]=>{{1,8},{2,3,7},{4},{5,6}}=>[8,3,7,4,6,5,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,4,7,2,6,1,3,5]=>{{1,8},{2,4},{3,7},{5,6}}=>[8,4,7,2,6,5,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,4,7,3,6,1,2,5]=>{{1,8},{2,4},{3,7},{5,6}}=>[8,4,7,2,6,5,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,5,7,2,6,1,3,4]=>{{1,8},{2,5,6},{3,7},{4}}=>[8,5,7,4,6,2,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [5,4,3,2,7,1,6,8]=>{{1,5,7},{2,4},{3},{6},{8}}=>[5,4,3,2,7,6,1,8]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0] [6,4,3,2,7,1,5,8]=>{{1,6},{2,4},{3},{5,7},{8}}=>[6,4,3,2,7,1,5,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0] [7,6,5,3,8,1,2,4]=>{{1,7},{2,6},{3,5,8},{4}}=>[7,6,5,4,8,2,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] [8,5,3,2,7,1,4,6]=>{{1,8},{2,5,7},{3},{4},{6}}=>[8,5,3,4,7,6,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,6,5,3,7,1,2,4]=>{{1,8},{2,6},{3,5,7},{4}}=>[8,6,5,4,7,2,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,7,4,2,6,1,3,5]=>{{1,8},{2,7},{3,4},{5,6}}=>[8,7,4,3,6,5,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,7,4,3,6,1,2,5]=>{{1,8},{2,7},{3,4},{5,6}}=>[8,7,4,3,6,5,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,7,5,2,6,1,3,4]=>{{1,8},{2,7},{3,5,6},{4}}=>[8,7,5,4,6,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,7,5,3,6,1,2,4]=>{{1,8},{2,7},{3,5,6},{4}}=>[8,7,5,4,6,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [5,8,4,7,2,6,1,3]=>{{1,5},{2,8},{3,4,7},{6}}=>[5,8,4,7,1,6,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] [5,8,4,7,3,6,1,2]=>{{1,5},{2,8},{3,4,7},{6}}=>[5,8,4,7,1,6,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] [6,8,4,7,2,5,1,3]=>{{1,6},{2,8},{3,4,7},{5}}=>[6,8,4,7,5,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] [6,8,4,7,3,5,1,2]=>{{1,6},{2,8},{3,4,7},{5}}=>[6,8,4,7,5,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] [6,8,5,7,2,4,1,3]=>{{1,6},{2,8},{3,5},{4,7}}=>[6,8,5,7,3,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] [6,8,5,7,3,4,1,2]=>{{1,6},{2,8},{3,5},{4,7}}=>[6,8,5,7,3,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] [7,8,4,6,2,5,1,3]=>{{1,7},{2,8},{3,4,6},{5}}=>[7,8,4,6,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] [7,8,4,6,3,5,1,2]=>{{1,7},{2,8},{3,4,6},{5}}=>[7,8,4,6,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] [7,8,5,6,2,4,1,3]=>{{1,7},{2,8},{3,5},{4,6}}=>[7,8,5,6,3,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] [6,4,3,8,2,7,1,5]=>{{1,6,7},{2,4,8},{3},{5}}=>[6,4,3,8,5,7,1,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] [6,5,3,8,2,7,1,4]=>{{1,6,7},{2,5},{3},{4,8}}=>[6,5,3,8,2,7,1,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] [7,5,3,8,2,6,1,4]=>{{1,7},{2,5},{3},{4,8},{6}}=>[7,5,3,8,2,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] [7,6,4,8,2,5,1,3]=>{{1,7},{2,6},{3,4,8},{5}}=>[7,6,4,8,5,2,1,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] [8,5,4,7,2,6,1,3]=>{{1,8},{2,5},{3,4,7},{6}}=>[8,5,4,7,2,6,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,5,4,7,3,6,1,2]=>{{1,8},{2,5},{3,4,7},{6}}=>[8,5,4,7,2,6,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,6,4,7,2,5,1,3]=>{{1,8},{2,6},{3,4,7},{5}}=>[8,6,4,7,5,2,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,7,5,6,2,4,1,3]=>{{1,8},{2,7},{3,5},{4,6}}=>[8,7,5,6,3,4,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [6,5,4,3,2,8,1,7]=>{{1,6,8},{2,5},{3,4},{7}}=>[6,5,4,3,2,8,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0] [8,5,4,3,2,7,1,6]=>{{1,8},{2,5},{3,4},{6,7}}=>[8,5,4,3,2,7,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,7,6,5,2,4,1,3]=>{{1,8},{2,7},{3,6},{4,5}}=>[8,7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,1,2,3,4,7,5,6]=>{{1,8},{2},{3},{4},{5},{6,7}}=>[8,2,3,4,5,7,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,1,2,3,7,4,5,6]=>{{1,8},{2},{3},{4},{5,7},{6}}=>[8,2,3,4,7,6,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [4,1,2,7,6,3,8,5]=>{{1,4,7,8},{2},{3},{5,6}}=>[4,2,3,7,6,5,8,1]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0] [4,1,2,5,8,7,3,6]=>{{1,4,5,8},{2},{3},{6,7}}=>[4,2,3,5,8,7,6,1]=>[1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0] [3,1,7,2,6,4,8,5]=>{{1,3,7,8},{2},{4},{5,6}}=>[3,2,7,4,6,5,8,1]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0] [5,1,4,2,7,3,8,6]=>{{1,5,7,8},{2},{3,4},{6}}=>[5,2,4,3,7,6,8,1]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0] [7,1,4,2,6,3,8,5]=>{{1,7,8},{2},{3,4},{5,6}}=>[7,2,4,3,6,5,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] [7,1,5,2,6,3,8,4]=>{{1,7,8},{2},{3,5,6},{4}}=>[7,2,5,4,6,3,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] [5,1,4,2,8,7,3,6]=>{{1,5,8},{2},{3,4},{6,7}}=>[5,2,4,3,8,7,6,1]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0] [3,1,8,6,2,7,4,5]=>{{1,3,8},{2},{4,6,7},{5}}=>[3,2,8,6,5,7,4,1]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0] [8,1,4,5,2,7,3,6]=>{{1,8},{2},{3,4,5},{6,7}}=>[8,2,4,5,3,7,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,1,6,5,2,7,3,4]=>{{1,8},{2},{3,6,7},{4,5}}=>[8,2,6,5,4,7,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [3,1,4,8,7,2,5,6]=>{{1,3,4,8},{2},{5,7},{6}}=>[3,2,4,8,7,6,5,1]=>[1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0] [8,1,4,5,7,2,3,6]=>{{1,8},{2},{3,4,5,7},{6}}=>[8,2,4,5,7,6,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,1,4,7,6,2,3,5]=>{{1,8},{2},{3,4,7},{5,6}}=>[8,2,4,7,6,5,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,1,4,5,6,7,2,3]=>{{1,8},{2},{3,4,5,6,7}}=>[8,2,4,5,6,7,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [2,4,1,8,6,3,5,7]=>{{1,2,4,8},{3},{5,6},{7}}=>[2,4,3,8,6,5,7,1]=>[1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0] [8,4,1,2,7,3,5,6]=>{{1,8},{2,4},{3},{5,7},{6}}=>[8,4,3,2,7,6,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [7,4,1,2,6,3,8,5]=>{{1,7,8},{2,4},{3},{5,6}}=>[7,4,3,2,6,5,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] [5,7,1,2,6,3,8,4]=>{{1,5,6},{2,7,8},{3},{4}}=>[5,7,3,4,6,1,8,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0] [5,4,1,2,8,7,3,6]=>{{1,5,8},{2,4},{3},{6,7}}=>[5,4,3,2,8,7,6,1]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0] [8,4,1,2,6,7,3,5]=>{{1,8},{2,4},{3},{5,6,7}}=>[8,4,3,2,6,7,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [5,4,1,2,6,7,8,3]=>{{1,5,6,7,8},{2,4},{3}}=>[5,4,3,2,6,7,8,1]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0] [4,3,1,6,2,8,5,7]=>{{1,4,6,8},{2,3},{5},{7}}=>[4,3,2,6,5,8,7,1]=>[1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0] [4,3,1,6,2,7,8,5]=>{{1,4,6,7,8},{2,3},{5}}=>[4,3,2,6,5,7,8,1]=>[1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0] [7,3,1,8,2,4,5,6]=>{{1,7},{2,3},{4,8},{5},{6}}=>[7,3,2,8,5,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] [8,3,1,5,2,7,4,6]=>{{1,8},{2,3},{4,5},{6,7}}=>[8,3,2,5,4,7,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,3,1,6,2,7,4,5]=>{{1,8},{2,3},{4,6,7},{5}}=>[8,3,2,6,5,7,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [6,3,1,5,2,7,8,4]=>{{1,6,7,8},{2,3},{4,5}}=>[6,3,2,5,4,7,8,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0] [7,4,1,5,2,3,8,6]=>{{1,7,8},{2,4,5},{3},{6}}=>[7,4,3,5,2,6,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] [7,4,1,6,2,3,8,5]=>{{1,7,8},{2,4,6},{3},{5}}=>[7,4,3,6,5,2,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] [8,4,1,5,2,7,3,6]=>{{1,8},{2,4,5},{3},{6,7}}=>[8,4,3,5,2,7,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [6,8,1,5,2,7,3,4]=>{{1,6,7},{2,8},{3},{4,5}}=>[6,8,3,5,4,7,1,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] [4,3,1,8,7,2,5,6]=>{{1,4,8},{2,3},{5,7},{6}}=>[4,3,2,8,7,6,5,1]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0] [8,3,1,5,7,2,4,6]=>{{1,8},{2,3},{4,5,7},{6}}=>[8,3,2,5,7,6,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,3,1,7,6,2,4,5]=>{{1,8},{2,3},{4,7},{5,6}}=>[8,3,2,7,6,5,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,4,1,5,7,2,3,6]=>{{1,8},{2,4,5,7},{3},{6}}=>[8,4,3,5,7,6,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,4,1,7,6,2,3,5]=>{{1,8},{2,4,7},{3},{5,6}}=>[8,4,3,7,6,5,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [7,8,1,5,6,2,3,4]=>{{1,7},{2,8},{3},{4,5,6}}=>[7,8,3,5,6,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] [4,3,1,5,6,8,2,7]=>{{1,4,5,6,8},{2,3},{7}}=>[4,3,2,5,6,8,7,1]=>[1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0] [4,3,1,5,8,7,2,6]=>{{1,4,5,8},{2,3},{6,7}}=>[4,3,2,5,8,7,6,1]=>[1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0] [4,3,1,8,6,7,2,5]=>{{1,4,8},{2,3},{5,6,7}}=>[4,3,2,8,6,7,5,1]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0] [8,4,1,5,6,7,2,3]=>{{1,8},{2,4,5,6,7},{3}}=>[8,4,3,5,6,7,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [4,3,1,5,6,7,8,2]=>{{1,4,5,6,7,8},{2,3}}=>[4,3,2,5,6,7,8,1]=>[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0] [2,3,8,1,6,7,4,5]=>{{1,2,3,8},{4},{5,6,7}}=>[2,3,8,4,6,7,5,1]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0] [2,6,4,1,3,8,5,7]=>{{1,2,6,8},{3,4},{5},{7}}=>[2,6,4,3,5,8,7,1]=>[1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0] [2,7,5,1,3,4,8,6]=>{{1,2,7,8},{3,5},{4},{6}}=>[2,7,5,4,3,6,8,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0] [2,8,5,1,3,7,4,6]=>{{1,2,8},{3,5},{4},{6,7}}=>[2,8,5,4,3,7,6,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] [2,6,8,1,3,7,4,5]=>{{1,2,6,7},{3,8},{4},{5}}=>[2,6,8,4,5,7,1,3]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0] [2,6,5,1,3,7,8,4]=>{{1,2,6,7,8},{3,5},{4}}=>[2,6,5,4,3,7,8,1]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0] [2,8,4,1,6,3,5,7]=>{{1,2,8},{3,4},{5,6},{7}}=>[2,8,4,3,6,5,7,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] [2,8,4,1,7,3,5,6]=>{{1,2,8},{3,4},{5,7},{6}}=>[2,8,4,3,7,6,5,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] [2,7,4,1,6,3,8,5]=>{{1,2,7,8},{3,4},{5,6}}=>[2,7,4,3,6,5,8,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0] [2,8,5,1,7,3,4,6]=>{{1,2,8},{3,5,7},{4},{6}}=>[2,8,5,4,7,6,3,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] [2,5,4,1,6,7,8,3]=>{{1,2,5,6,7,8},{3,4}}=>[2,5,4,3,6,7,8,1]=>[1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0] [6,3,7,1,2,4,8,5]=>{{1,6},{2,3,7,8},{4},{5}}=>[6,3,7,4,5,1,8,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0] [8,3,5,1,2,7,4,6]=>{{1,8},{2,3,5},{4},{6,7}}=>[8,3,5,4,2,7,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [6,3,8,1,2,7,4,5]=>{{1,6,7},{2,3,8},{4},{5}}=>[6,3,8,4,5,7,1,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] [6,3,5,1,2,7,8,4]=>{{1,6,7,8},{2,3,5},{4}}=>[6,3,5,4,2,7,8,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0] [7,5,4,1,2,3,8,6]=>{{1,7,8},{2,5},{3,4},{6}}=>[7,5,4,3,2,6,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] [6,7,4,1,2,3,8,5]=>{{1,6},{2,7,8},{3,4},{5}}=>[6,7,4,3,5,1,8,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0] [6,7,5,1,2,3,8,4]=>{{1,6},{2,7,8},{3,5},{4}}=>[6,7,5,4,3,1,8,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0] [8,5,4,1,2,7,3,6]=>{{1,8},{2,5},{3,4},{6,7}}=>[8,5,4,3,2,7,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [6,8,4,1,2,7,3,5]=>{{1,6,7},{2,8},{3,4},{5}}=>[6,8,4,3,5,7,1,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] [6,8,5,1,2,7,3,4]=>{{1,6,7},{2,8},{3,5},{4}}=>[6,8,5,4,3,7,1,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] [6,5,4,1,2,7,8,3]=>{{1,6,7,8},{2,5},{3,4}}=>[6,5,4,3,2,7,8,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0] [8,3,5,1,7,2,4,6]=>{{1,8},{2,3,5,7},{4},{6}}=>[8,3,5,4,7,6,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [7,3,8,1,6,2,4,5]=>{{1,7},{2,3,8},{4},{5,6}}=>[7,3,8,4,6,5,1,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] [8,5,4,1,6,2,3,7]=>{{1,8},{2,5,6},{3,4},{7}}=>[8,5,4,3,6,2,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,5,4,1,7,2,3,6]=>{{1,8},{2,5,7},{3,4},{6}}=>[8,5,4,3,7,6,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [7,8,4,1,6,2,3,5]=>{{1,7},{2,8},{3,4},{5,6}}=>[7,8,4,3,6,5,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] [7,5,4,1,6,2,8,3]=>{{1,7,8},{2,5,6},{3,4}}=>[7,5,4,3,6,2,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] [8,3,5,1,6,7,2,4]=>{{1,8},{2,3,5,6,7},{4}}=>[8,3,5,4,6,7,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [5,3,4,1,6,7,8,2]=>{{1,5,6,7,8},{2,3,4}}=>[5,3,4,2,6,7,8,1]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0] [2,3,4,8,1,7,5,6]=>{{1,2,3,4,8},{5},{6,7}}=>[2,3,4,8,5,7,6,1]=>[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0] [2,3,7,6,1,4,8,5]=>{{1,2,3,7,8},{4,6},{5}}=>[2,3,7,6,5,4,8,1]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0] [2,3,6,5,1,7,8,4]=>{{1,2,3,6,7,8},{4,5}}=>[2,3,6,5,4,7,8,1]=>[1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0] [2,8,4,6,1,3,5,7]=>{{1,2,8},{3,4,6},{5},{7}}=>[2,8,4,6,5,3,7,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] [2,7,4,8,1,3,5,6]=>{{1,2,7},{3,4,8},{5},{6}}=>[2,7,4,8,5,6,1,3]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0] [2,7,8,5,1,3,4,6]=>{{1,2,7},{3,8},{4,5},{6}}=>[2,7,8,5,4,6,1,3]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0] [2,7,8,6,1,3,4,5]=>{{1,2,7},{3,8},{4,6},{5}}=>[2,7,8,6,5,4,1,3]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0] [2,6,4,5,1,7,8,3]=>{{1,2,6,7,8},{3,4,5}}=>[2,6,4,5,3,7,8,1]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0] [8,3,6,5,1,2,4,7]=>{{1,8},{2,3,6},{4,5},{7}}=>[8,3,6,5,4,2,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [7,3,8,5,1,2,4,6]=>{{1,7},{2,3,8},{4,5},{6}}=>[7,3,8,5,4,6,1,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] [7,3,8,6,1,2,4,5]=>{{1,7},{2,3,8},{4,6},{5}}=>[7,3,8,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] [7,3,6,5,1,2,8,4]=>{{1,7,8},{2,3,6},{4,5}}=>[7,3,6,5,4,2,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] [7,6,4,5,1,2,8,3]=>{{1,7,8},{2,6},{3,4,5}}=>[7,6,4,5,3,2,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] [8,3,6,5,1,7,2,4]=>{{1,8},{2,3,6,7},{4,5}}=>[8,3,6,5,4,7,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [6,3,4,5,1,7,8,2]=>{{1,6,7,8},{2,3,4,5}}=>[6,3,4,5,2,7,8,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0] [2,3,4,8,6,1,5,7]=>{{1,2,3,4,8},{5,6},{7}}=>[2,3,4,8,6,5,7,1]=>[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0] [2,3,4,8,7,1,5,6]=>{{1,2,3,4,8},{5,7},{6}}=>[2,3,4,8,7,6,5,1]=>[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0] [2,3,4,7,6,1,8,5]=>{{1,2,3,4,7,8},{5,6}}=>[2,3,4,7,6,5,8,1]=>[1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0] [2,3,8,5,6,1,4,7]=>{{1,2,3,8},{4,5,6},{7}}=>[2,3,8,5,6,4,7,1]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0] [2,3,8,5,7,1,4,6]=>{{1,2,3,8},{4,5,7},{6}}=>[2,3,8,5,7,6,4,1]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0] [2,3,8,7,6,1,4,5]=>{{1,2,3,8},{4,7},{5,6}}=>[2,3,8,7,6,5,4,1]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0] [2,3,7,5,6,1,8,4]=>{{1,2,3,7,8},{4,5,6}}=>[2,3,7,5,6,4,8,1]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0] [2,8,4,7,6,1,3,5]=>{{1,2,8},{3,4,7},{5,6}}=>[2,8,4,7,6,5,3,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] [2,8,7,5,6,1,3,4]=>{{1,2,8},{3,7},{4,5,6}}=>[2,8,7,5,6,4,3,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] [2,7,4,5,6,1,8,3]=>{{1,2,7,8},{3,4,5,6}}=>[2,7,4,5,6,3,8,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0] [8,3,4,5,7,1,2,6]=>{{1,8},{2,3,4,5,7},{6}}=>[8,3,4,5,7,6,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,3,4,7,6,1,2,5]=>{{1,8},{2,3,4,7},{5,6}}=>[8,3,4,7,6,5,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [7,3,4,5,6,1,8,2]=>{{1,7,8},{2,3,4,5,6}}=>[7,3,4,5,6,2,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] [2,3,4,5,8,7,1,6]=>{{1,2,3,4,5,8},{6,7}}=>[2,3,4,5,8,7,6,1]=>[1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] [2,3,4,8,6,7,1,5]=>{{1,2,3,4,8},{5,6,7}}=>[2,3,4,8,6,7,5,1]=>[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0] [2,3,8,5,6,7,1,4]=>{{1,2,3,8},{4,5,6,7}}=>[2,3,8,5,6,7,4,1]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0] [9,1,2,3,4,5,6,7,8]=>{{1,9},{2},{3},{4},{5},{6},{7},{8}}=>[9,2,3,4,5,6,7,8,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] [8,1,2,3,4,5,6,9,7]=>{{1,8,9},{2},{3},{4},{5},{6},{7}}=>[8,2,3,4,5,6,7,9,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0] [3,1,4,5,6,7,8,9,2]=>{{1,3,4,5,6,7,8,9},{2}}=>[3,2,4,5,6,7,8,9,1]=>[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [2,9,1,3,4,5,6,7,8]=>{{1,2,9},{3},{4},{5},{6},{7},{8}}=>[2,9,3,4,5,6,7,8,1]=>[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [9,3,1,2,4,5,6,7,8]=>{{1,9},{2,3},{4},{5},{6},{7},{8}}=>[9,3,2,4,5,6,7,8,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] [8,9,1,2,3,4,5,6,7]=>{{1,8},{2,9},{3},{4},{5},{6},{7}}=>[8,9,3,4,5,6,7,1,2]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] [2,3,4,5,6,7,8,9,1]=>{{1,2,3,4,5,6,7,8,9}}=>[2,3,4,5,6,7,8,9,1]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [3,5,2,6,1,4,8,7]=>{{1,3},{2,5},{4,6},{7,8}}=>[3,5,1,6,2,4,8,7]=>[1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0] [3,5,2,6,4,1,8,7]=>{{1,3},{2,5},{4,6},{7,8}}=>[3,5,1,6,2,4,8,7]=>[1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0] [3,5,2,7,4,8,1,6]=>{{1,3},{2,5},{4,7},{6,8}}=>[3,5,1,7,2,8,4,6]=>[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0] [3,5,2,7,4,8,6,1]=>{{1,3},{2,5},{4,7},{6,8}}=>[3,5,1,7,2,8,4,6]=>[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0] [4,5,7,2,3,8,6,1]=>{{1,4},{2,5},{3,7},{6,8}}=>[4,5,7,1,2,8,3,6]=>[1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0] [4,5,7,2,3,8,1,6]=>{{1,4},{2,5},{3,7},{6,8}}=>[4,5,7,1,2,8,3,6]=>[1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0] [4,5,6,2,3,1,8,7]=>{{1,4},{2,5},{3,6},{7,8}}=>[4,5,6,1,2,3,8,7]=>[1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0] [4,5,6,2,1,3,8,7]=>{{1,4},{2,5},{3,6},{7,8}}=>[4,5,6,1,2,3,8,7]=>[1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0] [3,5,1,6,4,2,8,7]=>{{1,3},{2,5},{4,6},{7,8}}=>[3,5,1,6,2,4,8,7]=>[1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0] [4,5,6,1,3,2,8,7]=>{{1,4},{2,5},{3,6},{7,8}}=>[4,5,6,1,2,3,8,7]=>[1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0] [4,5,6,3,1,2,8,7]=>{{1,4},{2,5},{3,6},{7,8}}=>[4,5,6,1,2,3,8,7]=>[1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0] [4,5,7,3,2,8,1,6]=>{{1,4},{2,5},{3,7},{6,8}}=>[4,5,7,1,2,8,3,6]=>[1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0] [4,5,7,3,2,8,6,1]=>{{1,4},{2,5},{3,7},{6,8}}=>[4,5,7,1,2,8,3,6]=>[1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0] [4,6,7,3,8,2,5,1]=>{{1,4},{2,6},{3,7},{5,8}}=>[4,6,7,1,8,2,3,5]=>[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0] [4,6,7,3,8,2,1,5]=>{{1,4},{2,6},{3,7},{5,8}}=>[4,6,7,1,8,2,3,5]=>[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0] [4,6,7,3,8,1,2,5]=>{{1,4},{2,6},{3,7},{5,8}}=>[4,6,7,1,8,2,3,5]=>[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0] [4,5,7,3,1,8,2,6]=>{{1,4},{2,5},{3,7},{6,8}}=>[4,5,7,1,2,8,3,6]=>[1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0] [4,5,7,1,3,8,2,6]=>{{1,4},{2,5},{3,7},{6,8}}=>[4,5,7,1,2,8,3,6]=>[1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0] [3,5,1,7,4,8,2,6]=>{{1,3},{2,5},{4,7},{6,8}}=>[3,5,1,7,2,8,4,6]=>[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0] [2,1,5,7,4,8,3,6]=>{{1,2},{3,5},{4,7},{6,8}}=>[2,1,5,7,3,8,4,6]=>[1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] [2,1,5,7,4,8,6,3]=>{{1,2},{3,5},{4,7},{6,8}}=>[2,1,5,7,3,8,4,6]=>[1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] [3,5,1,7,4,8,6,2]=>{{1,3},{2,5},{4,7},{6,8}}=>[3,5,1,7,2,8,4,6]=>[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0] [4,5,7,1,3,8,6,2]=>{{1,4},{2,5},{3,7},{6,8}}=>[4,5,7,1,2,8,3,6]=>[1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0] [4,5,7,3,1,8,6,2]=>{{1,4},{2,5},{3,7},{6,8}}=>[4,5,7,1,2,8,3,6]=>[1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0] [4,6,7,3,8,1,5,2]=>{{1,4},{2,6},{3,7},{5,8}}=>[4,6,7,1,8,2,3,5]=>[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0] [4,6,7,3,8,5,1,2]=>{{1,4},{2,6},{3,7},{5,8}}=>[4,6,7,1,8,2,3,5]=>[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0] [4,6,7,3,8,5,2,1]=>{{1,4},{2,6},{3,7},{5,8}}=>[4,6,7,1,8,2,3,5]=>[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0] [5,6,7,8,3,1,4,2]=>{{1,5},{2,6},{3,7},{4,8}}=>[5,6,7,8,1,2,3,4]=>[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] [5,6,7,8,1,3,4,2]=>{{1,5},{2,6},{3,7},{4,8}}=>[5,6,7,8,1,2,3,4]=>[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] [4,6,7,1,8,3,5,2]=>{{1,4},{2,6},{3,7},{5,8}}=>[4,6,7,1,8,2,3,5]=>[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0] [3,6,1,7,8,4,5,2]=>{{1,3},{2,6},{4,7},{5,8}}=>[3,6,1,7,8,2,4,5]=>[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0] [2,1,6,7,8,4,5,3]=>{{1,2},{3,6},{4,7},{5,8}}=>[2,1,6,7,8,3,4,5]=>[1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] [2,1,6,7,8,4,3,5]=>{{1,2},{3,6},{4,7},{5,8}}=>[2,1,6,7,8,3,4,5]=>[1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] [3,6,1,7,8,4,2,5]=>{{1,3},{2,6},{4,7},{5,8}}=>[3,6,1,7,8,2,4,5]=>[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0] [4,6,7,1,8,3,2,5]=>{{1,4},{2,6},{3,7},{5,8}}=>[4,6,7,1,8,2,3,5]=>[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0] [5,6,7,8,1,3,2,4]=>{{1,5},{2,6},{3,7},{4,8}}=>[5,6,7,8,1,2,3,4]=>[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] [4,5,7,2,1,8,3,6]=>{{1,4},{2,5},{3,7},{6,8}}=>[4,5,7,1,2,8,3,6]=>[1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0] [4,6,7,2,8,1,3,5]=>{{1,4},{2,6},{3,7},{5,8}}=>[4,6,7,1,8,2,3,5]=>[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0] [4,6,7,2,8,3,1,5]=>{{1,4},{2,6},{3,7},{5,8}}=>[4,6,7,1,8,2,3,5]=>[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0] [4,6,7,2,8,3,5,1]=>{{1,4},{2,6},{3,7},{5,8}}=>[4,6,7,1,8,2,3,5]=>[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0] [3,6,2,7,8,4,5,1]=>{{1,3},{2,6},{4,7},{5,8}}=>[3,6,1,7,8,2,4,5]=>[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0] [3,6,2,7,8,4,1,5]=>{{1,3},{2,6},{4,7},{5,8}}=>[3,6,1,7,8,2,4,5]=>[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0] [3,6,2,7,8,1,4,5]=>{{1,3},{2,6},{4,7},{5,8}}=>[3,6,1,7,8,2,4,5]=>[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0] [3,5,2,7,1,8,4,6]=>{{1,3},{2,5},{4,7},{6,8}}=>[3,5,1,7,2,8,4,6]=>[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0] [3,4,2,1,7,8,5,6]=>{{1,3},{2,4},{5,7},{6,8}}=>[3,4,1,2,7,8,5,6]=>[1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] [3,4,1,2,7,8,6,5]=>{{1,3},{2,4},{5,7},{6,8}}=>[3,4,1,2,7,8,5,6]=>[1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] [3,5,2,7,1,8,6,4]=>{{1,3},{2,5},{4,7},{6,8}}=>[3,5,1,7,2,8,4,6]=>[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0] [3,6,2,7,8,1,5,4]=>{{1,3},{2,6},{4,7},{5,8}}=>[3,6,1,7,8,2,4,5]=>[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0] [3,6,2,7,8,5,1,4]=>{{1,3},{2,6},{4,7},{5,8}}=>[3,6,1,7,8,2,4,5]=>[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0] [3,6,2,7,8,5,4,1]=>{{1,3},{2,6},{4,7},{5,8}}=>[3,6,1,7,8,2,4,5]=>[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0] [4,6,7,2,8,5,3,1]=>{{1,4},{2,6},{3,7},{5,8}}=>[4,6,7,1,8,2,3,5]=>[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0] [4,6,7,2,8,5,1,3]=>{{1,4},{2,6},{3,7},{5,8}}=>[4,6,7,1,8,2,3,5]=>[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0] [4,6,7,2,8,1,5,3]=>{{1,4},{2,6},{3,7},{5,8}}=>[4,6,7,1,8,2,3,5]=>[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0] [4,5,7,2,1,8,6,3]=>{{1,4},{2,5},{3,7},{6,8}}=>[4,5,7,1,2,8,3,6]=>[1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0] [4,5,7,1,2,8,6,3]=>{{1,4},{2,5},{3,7},{6,8}}=>[4,5,7,1,2,8,3,6]=>[1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0] [3,5,1,7,2,8,6,4]=>{{1,3},{2,5},{4,7},{6,8}}=>[3,5,1,7,2,8,4,6]=>[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0] [2,1,5,7,3,8,6,4]=>{{1,2},{3,5},{4,7},{6,8}}=>[2,1,5,7,3,8,4,6]=>[1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] [2,1,6,7,8,3,5,4]=>{{1,2},{3,6},{4,7},{5,8}}=>[2,1,6,7,8,3,4,5]=>[1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] [3,6,1,7,8,2,5,4]=>{{1,3},{2,6},{4,7},{5,8}}=>[3,6,1,7,8,2,4,5]=>[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0] [4,6,7,1,8,2,5,3]=>{{1,4},{2,6},{3,7},{5,8}}=>[4,6,7,1,8,2,3,5]=>[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0] [5,6,7,8,1,2,4,3]=>{{1,5},{2,6},{3,7},{4,8}}=>[5,6,7,8,1,2,3,4]=>[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] [5,6,7,8,2,1,4,3]=>{{1,5},{2,6},{3,7},{4,8}}=>[5,6,7,8,1,2,3,4]=>[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] [5,6,7,8,2,4,1,3]=>{{1,5},{2,6},{3,7},{4,8}}=>[5,6,7,8,1,2,3,4]=>[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] [5,6,7,8,2,4,3,1]=>{{1,5},{2,6},{3,7},{4,8}}=>[5,6,7,8,1,2,3,4]=>[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] [5,6,7,8,1,4,2,3]=>{{1,5},{2,6},{3,7},{4,8}}=>[5,6,7,8,1,2,3,4]=>[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] [4,6,7,1,8,5,2,3]=>{{1,4},{2,6},{3,7},{5,8}}=>[4,6,7,1,8,2,3,5]=>[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0] [3,6,1,7,8,5,2,4]=>{{1,3},{2,6},{4,7},{5,8}}=>[3,6,1,7,8,2,4,5]=>[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0] [2,1,6,7,8,5,3,4]=>{{1,2},{3,6},{4,7},{5,8}}=>[2,1,6,7,8,3,4,5]=>[1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] [3,6,1,7,8,5,4,2]=>{{1,3},{2,6},{4,7},{5,8}}=>[3,6,1,7,8,2,4,5]=>[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0] [4,6,7,1,8,5,3,2]=>{{1,4},{2,6},{3,7},{5,8}}=>[4,6,7,1,8,2,3,5]=>[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0] [5,6,7,8,1,4,3,2]=>{{1,5},{2,6},{3,7},{4,8}}=>[5,6,7,8,1,2,3,4]=>[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] [5,6,7,8,4,1,3,2]=>{{1,5},{2,6},{3,7},{4,8}}=>[5,6,7,8,1,2,3,4]=>[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] [6,7,8,9,10,5,4,3,2,1]=>{{1,6},{2,7},{3,8},{4,9},{5,10}}=>[6,7,8,9,10,1,2,3,4,5]=>[1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0] [6,5,8,7,3,4,1,2]=>{{1,6},{2,5},{3,8},{4,7}}=>[6,5,8,7,2,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] [3,6,7,4,5,8,1,2]=>{{1,3,7},{2,6,8},{4},{5}}=>[3,6,7,4,5,8,1,2]=>[1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0] [2,6,7,4,5,1,8,3]=>{{1,2,6},{3,7,8},{4},{5}}=>[2,6,7,4,5,1,8,3]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0] [1,6,7,4,5,2,3,8]=>{{1},{2,6},{3,7},{4},{5},{8}}=>[1,6,7,4,5,2,3,8]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] [1,5,4,7,6,2,3,8]=>{{1},{2,5,6},{3,4,7},{8}}=>[1,5,4,7,6,2,3,8]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0] [2,5,4,7,6,1,8,3]=>{{1,2,5,6},{3,4,7,8}}=>[2,5,4,7,6,1,8,3]=>[1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0] [3,5,4,7,6,8,1,2]=>{{1,3,4,7},{2,5,6,8}}=>[3,5,4,7,6,8,1,2]=>[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0] [4,5,3,7,8,6,1,2]=>{{1,4,7},{2,5,8},{3},{6}}=>[4,5,3,7,8,6,1,2]=>[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] [5,4,3,8,7,6,1,2]=>{{1,5,7},{2,4,8},{3},{6}}=>[5,4,3,8,7,6,1,2]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] [6,4,8,3,7,5,1,2]=>{{1,6},{2,4},{3,8},{5,7}}=>[6,4,8,2,7,1,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] [6,3,8,4,5,7,1,2]=>{{1,6,7},{2,3,8},{4},{5}}=>[6,3,8,4,5,7,1,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] [5,3,4,8,6,7,1,2]=>{{1,5,6,7},{2,3,4,8}}=>[5,3,4,8,6,7,1,2]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] [4,3,5,6,8,7,1,2]=>{{1,4,6,7},{2,3,5,8}}=>[4,3,5,6,8,7,1,2]=>[1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0] [3,2,5,6,1,8,7,4]=>{{1,3,5},{2},{4,6,8},{7}}=>[3,2,5,6,1,8,7,4]=>[1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0] [4,2,5,6,8,1,7,3]=>{{1,4,6},{2},{3,5,8},{7}}=>[4,2,5,6,8,1,7,3]=>[1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0] [5,2,4,8,6,1,7,3]=>{{1,5,6},{2},{3,4,8},{7}}=>[5,2,4,8,6,1,7,3]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] [6,2,8,4,5,1,7,3]=>{{1,6},{2},{3,8},{4},{5},{7}}=>[6,2,8,4,5,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] [7,8,2,4,5,1,6,3]=>{{1,7},{2,8},{3},{4},{5},{6}}=>[7,8,3,4,5,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] [7,8,1,4,5,2,3,6]=>{{1,7},{2,8},{3},{4},{5},{6}}=>[7,8,3,4,5,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] [6,1,8,4,5,2,3,7]=>{{1,6},{2},{3,8},{4},{5},{7}}=>[6,2,8,4,5,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] [5,1,4,8,6,2,3,7]=>{{1,5,6},{2},{3,4,8},{7}}=>[5,2,4,8,6,1,7,3]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] [4,1,3,2,8,6,5,7]=>{{1,4},{2},{3},{5,8},{6},{7}}=>[4,2,3,1,8,6,7,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] [5,1,3,8,2,6,4,7]=>{{1,5},{2},{3},{4,8},{6},{7}}=>[5,2,3,8,1,6,7,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] [6,1,8,3,2,5,4,7]=>{{1,6},{2},{3,8},{4},{5},{7}}=>[6,2,8,4,5,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] [7,8,1,3,2,5,4,6]=>{{1,7},{2,8},{3},{4},{5},{6}}=>[7,8,3,4,5,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] [7,8,2,3,1,5,6,4]=>{{1,7},{2,8},{3},{4},{5},{6}}=>[7,8,3,4,5,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] [6,2,8,3,1,5,7,4]=>{{1,6},{2},{3,8},{4},{5},{7}}=>[6,2,8,4,5,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] [5,2,3,8,1,6,7,4]=>{{1,5},{2},{3},{4,8},{6},{7}}=>[5,2,3,8,1,6,7,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] [6,3,8,2,1,7,5,4]=>{{1,6,7},{2,3,8},{4},{5}}=>[6,3,8,4,5,7,1,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] [7,8,3,2,1,6,5,4]=>{{1,7},{2,8},{3},{4},{5},{6}}=>[7,8,3,4,5,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] [7,8,4,2,6,1,5,3]=>{{1,7},{2,8},{3,4},{5,6}}=>[7,8,4,3,6,5,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] [5,4,2,8,7,1,6,3]=>{{1,5,7},{2,4,8},{3},{6}}=>[5,4,3,8,7,6,1,2]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] [4,5,2,7,8,1,6,3]=>{{1,4,7},{2,5,8},{3},{6}}=>[4,5,3,7,8,6,1,2]=>[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] [2,5,3,7,1,6,8,4]=>{{1,2,5},{3},{4,7,8},{6}}=>[2,5,3,7,1,6,8,4]=>[1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0] [1,5,3,7,2,6,4,8]=>{{1},{2,5},{3},{4,7},{6},{8}}=>[1,5,3,7,2,6,4,8]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0] [1,6,7,3,2,5,4,8]=>{{1},{2,6},{3,7},{4},{5},{8}}=>[1,6,7,4,5,2,3,8]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] [2,6,7,3,1,5,8,4]=>{{1,2,6},{3,7,8},{4},{5}}=>[2,6,7,4,5,1,8,3]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0] [3,6,7,2,1,8,5,4]=>{{1,3,7},{2,6,8},{4},{5}}=>[3,6,7,4,5,8,1,2]=>[1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0] [7,8,5,6,2,1,4,3]=>{{1,7},{2,8},{3,5},{4,6}}=>[7,8,5,6,3,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] [6,5,8,7,1,2,3,4]=>{{1,6},{2,5},{3,8},{4,7}}=>[6,5,8,7,2,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] [5,4,1,8,7,2,3,6]=>{{1,5,7},{2,4,8},{3},{6}}=>[5,4,3,8,7,6,1,2]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] [6,4,8,1,7,2,3,5]=>{{1,6},{2,4},{3,8},{5,7}}=>[6,4,8,2,7,1,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] [7,8,3,1,2,6,4,5]=>{{1,7},{2,8},{3},{4},{5},{6}}=>[7,8,3,4,5,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] [5,3,1,8,2,7,4,6]=>{{1,5},{2,3},{4,8},{6,7}}=>[5,3,2,8,1,7,6,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] [4,3,1,2,8,7,5,6]=>{{1,4},{2,3},{5,8},{6,7}}=>[4,3,2,1,8,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] [4,2,1,3,8,5,7,6]=>{{1,4},{2},{3},{5,8},{6},{7}}=>[4,2,3,1,8,6,7,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] [5,2,1,8,3,4,7,6]=>{{1,5},{2},{3},{4,8},{6},{7}}=>[5,2,3,8,1,6,7,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] [6,2,8,1,3,4,7,5]=>{{1,6},{2},{3,8},{4},{5},{7}}=>[6,2,8,4,5,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] [7,8,2,1,3,4,6,5]=>{{1,7},{2,8},{3},{4},{5},{6}}=>[7,8,3,4,5,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] [4,3,1,2,6,5,8,7]=>{{1,4},{2,3},{5,6},{7,8}}=>[4,3,2,1,6,5,8,7]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] [5,3,1,6,2,4,8,7]=>{{1,5},{2,3},{4,6},{7,8}}=>[5,3,2,6,1,4,8,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0] [6,3,1,5,2,4,8,7]=>{{1,6},{2,3},{4,5},{7,8}}=>[6,3,2,5,4,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] [7,3,1,5,2,8,4,6]=>{{1,7},{2,3},{4,5},{6,8}}=>[7,3,2,5,4,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] [8,4,5,1,2,7,3,6]=>{{1,8},{2,4},{3,5},{6,7}}=>[8,4,5,2,3,7,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [7,4,5,1,2,8,3,6]=>{{1,7},{2,4},{3,5},{6,8}}=>[7,4,5,2,3,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] [6,4,5,1,2,3,8,7]=>{{1,6},{2,4},{3,5},{7,8}}=>[6,4,5,2,3,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] [5,4,6,1,2,3,8,7]=>{{1,5},{2,4},{3,6},{7,8}}=>[5,4,6,2,1,3,8,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0] [2,1,6,5,3,4,8,7]=>{{1,2},{3,6},{4,5},{7,8}}=>[2,1,6,5,4,3,8,7]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] [3,6,1,5,2,4,8,7]=>{{1,3},{2,6},{4,5},{7,8}}=>[3,6,1,5,4,2,8,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0] [4,6,5,1,2,3,8,7]=>{{1,4},{2,6},{3,5},{7,8}}=>[4,6,5,1,3,2,8,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0] [5,6,4,1,2,3,8,7]=>{{1,5},{2,6},{3,4},{7,8}}=>[5,6,4,3,1,2,8,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0] [6,5,4,1,2,3,8,7]=>{{1,6},{2,5},{3,4},{7,8}}=>[6,5,4,3,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] [7,5,4,1,2,8,3,6]=>{{1,7},{2,5},{3,4},{6,8}}=>[7,5,4,3,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] [8,6,4,1,7,2,3,5]=>{{1,8},{2,6},{3,4},{5,7}}=>[8,6,4,3,7,2,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [7,6,4,1,8,2,3,5]=>{{1,7},{2,6},{3,4},{5,8}}=>[7,6,4,3,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] [6,7,4,1,8,2,3,5]=>{{1,6},{2,7},{3,4},{5,8}}=>[6,7,4,3,8,1,2,5]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0] [5,7,4,1,2,8,3,6]=>{{1,5},{2,7},{3,4},{6,8}}=>[5,7,4,3,1,8,2,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0] [4,7,5,1,2,8,3,6]=>{{1,4},{2,7},{3,5},{6,8}}=>[4,7,5,1,3,8,2,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0] [3,7,1,5,2,8,4,6]=>{{1,3},{2,7},{4,5},{6,8}}=>[3,7,1,5,4,8,2,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0] [2,1,7,5,3,8,4,6]=>{{1,2},{3,7},{4,5},{6,8}}=>[2,1,7,5,4,8,3,6]=>[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0] [2,1,8,5,3,7,4,6]=>{{1,2},{3,8},{4,5},{6,7}}=>[2,1,8,5,4,7,6,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] [3,8,1,5,2,7,4,6]=>{{1,3},{2,8},{4,5},{6,7}}=>[3,8,1,5,4,7,6,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] [4,8,5,1,2,7,3,6]=>{{1,4},{2,8},{3,5},{6,7}}=>[4,8,5,1,3,7,6,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] [5,8,4,1,2,7,3,6]=>{{1,5},{2,8},{3,4},{6,7}}=>[5,8,4,3,1,7,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] [6,8,4,1,7,2,3,5]=>{{1,6},{2,8},{3,4},{5,7}}=>[6,8,4,3,7,1,5,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] [8,7,4,1,6,2,3,5]=>{{1,8},{2,7},{3,4},{5,6}}=>[8,7,4,3,6,5,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [5,8,6,7,1,2,3,4]=>{{1,5},{2,8},{3,6},{4,7}}=>[5,8,6,7,1,3,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] [4,8,6,1,7,2,3,5]=>{{1,4},{2,8},{3,6},{5,7}}=>[4,8,6,1,7,3,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] [3,8,1,6,7,2,4,5]=>{{1,3},{2,8},{4,6},{5,7}}=>[3,8,1,6,7,4,5,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] [2,1,8,6,7,3,4,5]=>{{1,2},{3,8},{4,6},{5,7}}=>[2,1,8,6,7,4,5,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] [2,1,7,6,8,3,4,5]=>{{1,2},{3,7},{4,6},{5,8}}=>[2,1,7,6,8,4,3,5]=>[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0] [3,7,1,6,8,2,4,5]=>{{1,3},{2,7},{4,6},{5,8}}=>[3,7,1,6,8,4,2,5]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0] [4,7,6,1,8,2,3,5]=>{{1,4},{2,7},{3,6},{5,8}}=>[4,7,6,1,8,3,2,5]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0] [5,7,6,8,1,2,3,4]=>{{1,5},{2,7},{3,6},{4,8}}=>[5,7,6,8,1,3,2,4]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0] [5,4,7,1,2,8,3,6]=>{{1,5},{2,4},{3,7},{6,8}}=>[5,4,7,2,1,8,3,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0] [6,4,7,1,8,2,3,5]=>{{1,6},{2,4},{3,7},{5,8}}=>[6,4,7,2,8,1,3,5]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0] [7,4,6,1,8,2,3,5]=>{{1,7},{2,4},{3,6},{5,8}}=>[7,4,6,2,8,3,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] [8,4,6,1,7,2,3,5]=>{{1,8},{2,4},{3,6},{5,7}}=>[8,4,6,2,7,3,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,3,1,6,7,2,4,5]=>{{1,8},{2,3},{4,6},{5,7}}=>[8,3,2,6,7,4,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [7,3,1,6,8,2,4,5]=>{{1,7},{2,3},{4,6},{5,8}}=>[7,3,2,6,8,4,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] [6,3,1,7,8,2,4,5]=>{{1,6},{2,3},{4,7},{5,8}}=>[6,3,2,7,8,1,4,5]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0] [5,3,1,7,2,8,4,6]=>{{1,5},{2,3},{4,7},{6,8}}=>[5,3,2,7,1,8,4,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0] [4,3,1,2,7,8,5,6]=>{{1,4},{2,3},{5,7},{6,8}}=>[4,3,2,1,7,8,5,6]=>[1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0] [2,1,4,3,8,7,5,6]=>{{1,2},{3,4},{5,8},{6,7}}=>[2,1,4,3,8,7,6,5]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] [3,4,1,2,8,7,5,6]=>{{1,3},{2,4},{5,8},{6,7}}=>[3,4,1,2,8,7,6,5]=>[1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] [6,3,1,8,7,2,4,5]=>{{1,6},{2,3},{4,8},{5,7}}=>[6,3,2,8,7,1,5,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] [7,3,1,8,6,2,4,5]=>{{1,7},{2,3},{4,8},{5,6}}=>[7,3,2,8,6,5,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] [8,4,7,1,6,2,3,5]=>{{1,8},{2,4},{3,7},{5,6}}=>[8,4,7,2,6,5,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [7,4,8,1,6,2,3,5]=>{{1,7},{2,4},{3,8},{5,6}}=>[7,4,8,2,6,5,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] [5,4,8,1,2,7,3,6]=>{{1,5},{2,4},{3,8},{6,7}}=>[5,4,8,2,1,7,6,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0] [4,5,8,1,2,7,3,6]=>{{1,4},{2,5},{3,8},{6,7}}=>[4,5,8,1,2,7,6,3]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0] [3,5,1,8,2,7,4,6]=>{{1,3},{2,5},{4,8},{6,7}}=>[3,5,1,8,2,7,6,4]=>[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0] [2,1,5,8,3,7,4,6]=>{{1,2},{3,5},{4,8},{6,7}}=>[2,1,5,8,3,7,6,4]=>[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0] [2,1,6,8,7,3,4,5]=>{{1,2},{3,6},{4,8},{5,7}}=>[2,1,6,8,7,3,5,4]=>[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0] [3,6,1,8,7,2,4,5]=>{{1,3},{2,6},{4,8},{5,7}}=>[3,6,1,8,7,2,5,4]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0] [4,6,8,1,7,2,3,5]=>{{1,4},{2,6},{3,8},{5,7}}=>[4,6,8,1,7,2,5,3]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] [5,6,8,7,1,2,3,4]=>{{1,5},{2,6},{3,8},{4,7}}=>[5,6,8,7,1,2,4,3]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0] [7,5,8,6,1,2,3,4]=>{{1,7},{2,5},{3,8},{4,6}}=>[7,5,8,6,2,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] [8,5,7,6,1,2,3,4]=>{{1,8},{2,5},{3,7},{4,6}}=>[8,5,7,6,2,4,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [5,7,8,6,1,2,3,4]=>{{1,5},{2,7},{3,8},{4,6}}=>[5,7,8,6,1,4,2,3]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0] [4,7,8,1,6,2,3,5]=>{{1,4},{2,7},{3,8},{5,6}}=>[4,7,8,1,6,5,2,3]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0] [3,7,1,8,6,2,4,5]=>{{1,3},{2,7},{4,8},{5,6}}=>[3,7,1,8,6,5,2,4]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0] [2,1,7,8,6,3,4,5]=>{{1,2},{3,7},{4,8},{5,6}}=>[2,1,7,8,6,5,3,4]=>[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] [2,1,8,7,6,3,4,5]=>{{1,2},{3,8},{4,7},{5,6}}=>[2,1,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] [3,8,1,7,6,2,4,5]=>{{1,3},{2,8},{4,7},{5,6}}=>[3,8,1,7,6,5,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] [4,8,7,1,6,2,3,5]=>{{1,4},{2,8},{3,7},{5,6}}=>[4,8,7,1,6,5,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] [5,8,7,6,1,2,3,4]=>{{1,5},{2,8},{3,7},{4,6}}=>[5,8,7,6,1,4,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] [6,8,7,5,1,2,3,4]=>{{1,6},{2,8},{3,7},{4,5}}=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] [6,4,7,3,8,5,1,2]=>{{1,6},{2,4},{3,7},{5,8}}=>[6,4,7,2,8,1,3,5]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0] [6,4,7,3,5,8,1,2]=>{{1,6,8},{2,4},{3,7},{5}}=>[6,4,7,2,5,8,3,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0] [6,4,7,2,5,1,8,3]=>{{1,6},{2,4},{3,7,8},{5}}=>[6,4,7,2,5,1,8,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0] [5,4,2,7,6,1,3,8]=>{{1,5,6},{2,4,7},{3},{8}}=>[5,4,3,7,6,1,2,8]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0] [5,4,3,7,8,6,1,2]=>{{1,5,8},{2,4,7},{3},{6}}=>[5,4,3,7,8,6,2,1]=>[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0] [6,4,8,3,5,7,1,2]=>{{1,6,7},{2,4},{3,8},{5}}=>[6,4,8,2,5,7,1,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] [5,4,3,8,6,7,1,2]=>{{1,5,6,7},{2,4,8},{3}}=>[5,4,3,8,6,7,1,2]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] [5,4,2,6,7,1,3,8]=>{{1,5,7},{2,4,6},{3},{8}}=>[5,4,3,6,7,2,1,8]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0] [5,3,2,6,1,7,4,8]=>{{1,5},{2,3},{4,6,7},{8}}=>[5,3,2,6,1,7,4,8]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0] [5,3,2,6,1,7,8,4]=>{{1,5},{2,3},{4,6,7,8}}=>[5,3,2,6,1,7,8,4]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0] [5,3,2,6,1,8,7,4]=>{{1,5},{2,3},{4,6,8},{7}}=>[5,3,2,6,1,8,7,4]=>[1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0] [5,4,2,6,8,1,7,3]=>{{1,5,8},{2,4,6},{3},{7}}=>[5,4,3,6,8,2,7,1]=>[1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0] [6,4,8,2,5,1,7,3]=>{{1,6},{2,4},{3,8},{5},{7}}=>[6,4,8,2,5,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] [7,8,4,2,5,1,6,3]=>{{1,7},{2,8},{3,4},{5},{6}}=>[7,8,4,3,5,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] [7,8,4,2,5,1,3,6]=>{{1,7},{2,8},{3,4},{5},{6}}=>[7,8,4,3,5,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] [5,3,2,6,1,8,4,7]=>{{1,5},{2,3},{4,6,8},{7}}=>[5,3,2,6,1,8,7,4]=>[1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0] [4,3,2,1,6,8,5,7]=>{{1,4},{2,3},{5,6,8},{7}}=>[4,3,2,1,6,8,7,5]=>[1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0] [4,3,2,1,8,6,5,7]=>{{1,4},{2,3},{5,8},{6},{7}}=>[4,3,2,1,8,6,7,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] [5,3,2,8,1,6,4,7]=>{{1,5},{2,3},{4,8},{6},{7}}=>[5,3,2,8,1,6,7,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] [6,3,8,2,1,5,4,7]=>{{1,6},{2,3,8},{4},{5},{7}}=>[6,3,8,4,5,1,7,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] [7,8,3,2,1,5,4,6]=>{{1,7},{2,8},{3},{4},{5},{6}}=>[7,8,3,4,5,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] [7,8,3,2,1,5,6,4]=>{{1,7},{2,8},{3},{4},{5},{6}}=>[7,8,3,4,5,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] [6,3,8,2,1,5,7,4]=>{{1,6},{2,3,8},{4},{5},{7}}=>[6,3,8,4,5,1,7,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] [5,3,2,8,1,6,7,4]=>{{1,5},{2,3},{4,8},{6},{7}}=>[5,3,2,8,1,6,7,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] [5,4,2,7,8,1,6,3]=>{{1,5,8},{2,4,7},{3},{6}}=>[5,4,3,7,8,6,2,1]=>[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0] [5,3,2,7,1,8,6,4]=>{{1,5},{2,3},{4,7},{6,8}}=>[5,3,2,7,1,8,4,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0] [5,3,2,7,1,6,8,4]=>{{1,5},{2,3},{4,7,8},{6}}=>[5,3,2,7,1,6,8,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0] [5,3,2,7,1,6,4,8]=>{{1,5},{2,3},{4,7},{6},{8}}=>[5,3,2,7,1,6,4,8]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0] [6,3,7,2,1,5,8,4]=>{{1,6},{2,3,7,8},{4},{5}}=>[6,3,7,4,5,1,8,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0] [6,3,7,2,1,8,5,4]=>{{1,6,8},{2,3,7},{4},{5}}=>[6,3,7,4,5,8,2,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0] [6,4,7,2,8,1,5,3]=>{{1,6},{2,4},{3,7},{5,8}}=>[6,4,7,2,8,1,3,5]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0] [6,5,7,8,2,1,4,3]=>{{1,6},{2,5},{3,7},{4,8}}=>[6,5,7,8,2,1,3,4]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0] [6,5,8,7,2,1,3,4]=>{{1,6},{2,5},{3,8},{4,7}}=>[6,5,8,7,2,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] [6,3,7,2,1,8,4,5]=>{{1,6,8},{2,3,7},{4},{5}}=>[6,3,7,4,5,8,2,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0] [6,3,7,2,1,4,8,5]=>{{1,6},{2,3,7,8},{4},{5}}=>[6,3,7,4,5,1,8,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0] [5,3,2,7,1,4,8,6]=>{{1,5},{2,3},{4,7,8},{6}}=>[5,3,2,7,1,6,8,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0] [5,4,2,8,7,1,3,6]=>{{1,5,7},{2,4,8},{3},{6}}=>[5,4,3,8,7,6,1,2]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] [7,8,4,2,6,1,3,5]=>{{1,7},{2,8},{3,4},{5,6}}=>[7,8,4,3,6,5,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] [7,8,3,2,1,6,4,5]=>{{1,7},{2,8},{3},{4},{5},{6}}=>[7,8,3,4,5,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] [6,3,8,2,1,7,4,5]=>{{1,6,7},{2,3,8},{4},{5}}=>[6,3,8,4,5,7,1,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] [5,3,2,8,1,7,4,6]=>{{1,5},{2,3},{4,8},{6,7}}=>[5,3,2,8,1,7,6,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] [4,3,2,1,8,7,5,6]=>{{1,4},{2,3},{5,8},{6,7}}=>[4,3,2,1,8,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] [4,3,2,1,7,5,8,6]=>{{1,4},{2,3},{5,7,8},{6}}=>[4,3,2,1,7,6,8,5]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0] [4,3,2,1,7,5,6,8]=>{{1,4},{2,3},{5,7},{6},{8}}=>[4,3,2,1,7,6,5,8]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0] [4,3,2,1,8,5,7,6]=>{{1,4},{2,3},{5,8},{6},{7}}=>[4,3,2,1,8,6,7,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] [5,3,2,8,1,4,7,6]=>{{1,5},{2,3},{4,8},{6},{7}}=>[5,3,2,8,1,6,7,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] [6,3,8,2,1,4,7,5]=>{{1,6},{2,3,8},{4},{5},{7}}=>[6,3,8,4,5,1,7,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] [7,8,3,2,1,4,6,5]=>{{1,7},{2,8},{3},{4},{5},{6}}=>[7,8,3,4,5,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] [6,3,8,2,1,4,5,7]=>{{1,6},{2,3,8},{4},{5},{7}}=>[6,3,8,4,5,1,7,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] [4,3,2,1,8,5,6,7]=>{{1,4},{2,3},{5,8},{6},{7}}=>[4,3,2,1,8,6,7,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] [4,3,2,1,5,8,6,7]=>{{1,4},{2,3},{5},{6,8},{7}}=>[4,3,2,1,5,8,7,6]=>[1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0] [7,8,5,6,1,2,4,3]=>{{1,7},{2,8},{3,5},{4,6}}=>[7,8,5,6,3,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] [7,8,4,1,6,2,5,3]=>{{1,7},{2,8},{3,4},{5,6}}=>[7,8,4,3,6,5,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] [7,8,1,4,6,2,5,3]=>{{1,7},{2,8},{3},{4},{5,6}}=>[7,8,3,4,6,5,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] [6,1,8,4,7,2,5,3]=>{{1,6},{2},{3,8},{4},{5,7}}=>[6,2,8,4,7,1,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] [1,6,8,4,7,2,5,3]=>{{1},{2,6},{3,8},{4},{5,7}}=>[1,6,8,4,7,2,5,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] [7,8,1,3,2,6,5,4]=>{{1,7},{2,8},{3},{4},{5},{6}}=>[7,8,3,4,5,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] [7,8,3,1,2,6,5,4]=>{{1,7},{2,8},{3},{4},{5},{6}}=>[7,8,3,4,5,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] [7,8,3,4,6,5,1,2]=>{{1,7},{2,8},{3},{4},{5,6}}=>[7,8,3,4,6,5,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] [7,8,2,4,6,1,5,3]=>{{1,7},{2,8},{3},{4},{5,6}}=>[7,8,3,4,6,5,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] [7,8,2,3,1,6,5,4]=>{{1,7},{2,8},{3},{4},{5},{6}}=>[7,8,3,4,5,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] [7,8,2,1,3,6,5,4]=>{{1,7},{2,8},{3},{4},{5},{6}}=>[7,8,3,4,5,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] [7,8,1,2,3,6,5,4]=>{{1,7},{2,8},{3},{4},{5},{6}}=>[7,8,3,4,5,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] [1,5,2,8,3,7,6,4]=>{{1},{2,5},{3},{4,8},{6,7}}=>[1,5,3,8,2,7,6,4]=>[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0] [5,1,2,8,3,7,6,4]=>{{1,5},{2},{3},{4,8},{6,7}}=>[5,2,3,8,1,7,6,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] [5,2,1,8,3,7,6,4]=>{{1,5},{2},{3},{4,8},{6,7}}=>[5,2,3,8,1,7,6,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] [6,2,8,4,7,1,5,3]=>{{1,6},{2},{3,8},{4},{5,7}}=>[6,2,8,4,7,1,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] [6,3,8,4,7,5,1,2]=>{{1,6},{2,3,8},{4},{5,7}}=>[6,3,8,4,7,1,5,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] [3,6,8,4,7,5,1,2]=>{{1,3,8},{2,6},{4},{5,7}}=>[3,6,8,4,7,2,5,1]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0] [2,6,8,4,7,1,5,3]=>{{1,2,6},{3,8},{4},{5,7}}=>[2,6,8,4,7,1,5,3]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0] [2,6,8,3,1,7,5,4]=>{{1,2,6,7},{3,8},{4},{5}}=>[2,6,8,4,5,7,1,3]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0] [2,6,8,1,3,7,5,4]=>{{1,2,6,7},{3,8},{4},{5}}=>[2,6,8,4,5,7,1,3]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0] [2,5,1,8,3,7,6,4]=>{{1,2,5},{3},{4,8},{6,7}}=>[2,5,3,8,1,7,6,4]=>[1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0] [1,2,5,8,3,7,6,4]=>{{1},{2},{3,5},{4,8},{6,7}}=>[1,2,5,8,3,7,6,4]=>[1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0] [2,4,1,3,8,7,6,5]=>{{1,2,4},{3},{5,8},{6,7}}=>[2,4,3,1,8,7,6,5]=>[1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0] [2,5,3,8,1,7,6,4]=>{{1,2,5},{3},{4,8},{6,7}}=>[2,5,3,8,1,7,6,4]=>[1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0] [2,5,4,8,7,1,6,3]=>{{1,2,5,7},{3,4,8},{6}}=>[2,5,4,8,7,6,1,3]=>[1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0] [5,3,4,8,7,6,1,2]=>{{1,5,7},{2,3,4,8},{6}}=>[5,3,4,8,7,6,1,2]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] [5,2,4,8,7,1,6,3]=>{{1,5,7},{2},{3,4,8},{6}}=>[5,2,4,8,7,6,1,3]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] [5,2,3,8,1,7,6,4]=>{{1,5},{2},{3},{4,8},{6,7}}=>[5,2,3,8,1,7,6,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] [4,2,1,3,8,7,6,5]=>{{1,4},{2},{3},{5,8},{6,7}}=>[4,2,3,1,8,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] [4,1,2,3,8,7,6,5]=>{{1,4},{2},{3},{5,8},{6,7}}=>[4,2,3,1,8,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] [1,4,2,3,8,7,6,5]=>{{1},{2,4},{3},{5,8},{6,7}}=>[1,4,3,2,8,7,6,5]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] [4,1,3,2,8,7,6,5]=>{{1,4},{2},{3},{5,8},{6,7}}=>[4,2,3,1,8,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] [4,3,1,2,8,7,6,5]=>{{1,4},{2,3},{5,8},{6,7}}=>[4,3,2,1,8,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] [6,3,8,1,2,7,5,4]=>{{1,6,7},{2,3,8},{4},{5}}=>[6,3,8,4,5,7,1,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] [5,3,1,8,2,7,6,4]=>{{1,5},{2,3},{4,8},{6,7}}=>[5,3,2,8,1,7,6,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] [5,1,3,8,2,7,6,4]=>{{1,5},{2},{3},{4,8},{6,7}}=>[5,2,3,8,1,7,6,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] [1,5,3,8,2,7,6,4]=>{{1},{2,5},{3},{4,8},{6,7}}=>[1,5,3,8,2,7,6,4]=>[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0] [1,5,4,8,7,2,6,3]=>{{1},{2,5,7},{3,4,8},{6}}=>[1,5,4,8,7,6,2,3]=>[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0] [5,1,4,8,7,2,6,3]=>{{1,5,7},{2},{3,4,8},{6}}=>[5,2,4,8,7,6,1,3]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] [5,4,1,8,7,2,6,3]=>{{1,5,7},{2,4,8},{3},{6}}=>[5,4,3,8,7,6,1,2]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] [6,4,8,1,7,2,5,3]=>{{1,6},{2,4},{3,8},{5,7}}=>[6,4,8,2,7,1,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] [6,5,8,7,1,2,4,3]=>{{1,6},{2,5},{3,8},{4,7}}=>[6,5,8,7,2,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] [5,6,8,7,3,4,1,2]=>{{1,5},{2,6},{3,8},{4,7}}=>[5,6,8,7,1,2,4,3]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0] [5,6,8,7,2,1,4,3]=>{{1,5},{2,6},{3,8},{4,7}}=>[5,6,8,7,1,2,4,3]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0] [4,1,5,8,7,2,6,3]=>{{1,4,8},{2},{3,5,7},{6}}=>[4,2,5,8,7,6,3,1]=>[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0] [1,4,5,8,7,2,6,3]=>{{1},{2,4,8},{3,5,7},{6}}=>[1,4,5,8,7,6,3,2]=>[1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0] [1,3,5,8,2,7,6,4]=>{{1},{2,3,5},{4,8},{6,7}}=>[1,3,5,8,2,7,6,4]=>[1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0] [3,1,5,8,2,7,6,4]=>{{1,3,5},{2},{4,8},{6,7}}=>[3,2,5,8,1,7,6,4]=>[1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0] [3,6,8,1,2,7,5,4]=>{{1,3,8},{2,6,7},{4},{5}}=>[3,6,8,4,5,7,2,1]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0] [3,6,8,2,1,7,5,4]=>{{1,3,8},{2,6,7},{4},{5}}=>[3,6,8,4,5,7,2,1]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0] [4,6,8,2,7,1,5,3]=>{{1,4},{2,6},{3,8},{5,7}}=>[4,6,8,1,7,2,5,3]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] [4,6,8,3,7,5,1,2]=>{{1,4},{2,6},{3,8},{5,7}}=>[4,6,8,1,7,2,5,3]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] [3,5,2,8,1,7,6,4]=>{{1,3},{2,5},{4,8},{6,7}}=>[3,5,1,8,2,7,6,4]=>[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0] [3,1,4,2,8,7,6,5]=>{{1,3,4},{2},{5,8},{6,7}}=>[3,2,4,1,8,7,6,5]=>[1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0] [3,1,2,4,8,7,6,5]=>{{1,3},{2},{4},{5,8},{6,7}}=>[3,2,1,4,8,7,6,5]=>[1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0] [3,2,5,8,1,7,6,4]=>{{1,3,5},{2},{4,8},{6,7}}=>[3,2,5,8,1,7,6,4]=>[1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0] [4,2,5,8,7,1,6,3]=>{{1,4,8},{2},{3,5,7},{6}}=>[4,2,5,8,7,6,3,1]=>[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0] [3,4,5,8,7,6,1,2]=>{{1,3,5,7},{2,4,8},{6}}=>[3,4,5,8,7,6,1,2]=>[1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0] [2,3,5,8,1,7,6,4]=>{{1,2,3,5},{4,8},{6,7}}=>[2,3,5,8,1,7,6,4]=>[1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0] [4,1,3,2,6,5,8,7]=>{{1,4},{2},{3},{5,6},{7,8}}=>[4,2,3,1,6,5,8,7]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] [6,1,3,2,5,4,8,7]=>{{1,6},{2},{3},{4},{5},{7,8}}=>[6,2,3,4,5,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] [7,1,3,2,5,4,8,6]=>{{1,7,8},{2},{3},{4},{5},{6}}=>[7,2,3,4,5,6,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] [8,1,3,2,5,4,7,6]=>{{1,8},{2},{3},{4},{5},{6},{7}}=>[8,2,3,4,5,6,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [5,1,4,2,6,3,8,7]=>{{1,5,6},{2},{3,4},{7,8}}=>[5,2,4,3,6,1,8,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0] [6,2,5,1,4,3,8,7]=>{{1,6},{2},{3,5},{4},{7,8}}=>[6,2,5,4,3,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] [6,2,8,1,4,3,7,5]=>{{1,6},{2},{3,8},{4},{5},{7}}=>[6,2,8,4,5,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] [3,1,8,2,5,4,7,6]=>{{1,3,8},{2},{4},{5},{6},{7}}=>[3,2,8,4,5,6,7,1]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0] [5,1,8,2,6,3,7,4]=>{{1,5,6},{2},{3,8},{4},{7}}=>[5,2,8,4,6,1,7,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0] [2,1,7,3,6,4,8,5]=>{{1,2},{3,7,8},{4},{5,6}}=>[2,1,7,4,6,5,8,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0] [5,1,7,2,6,3,8,4]=>{{1,5,6},{2},{3,7,8},{4}}=>[5,2,7,4,6,1,8,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0] [6,2,8,1,5,3,7,4]=>{{1,6},{2},{3,8},{4},{5},{7}}=>[6,2,8,4,5,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] [6,1,5,2,7,3,8,4]=>{{1,6},{2},{3,5,7,8},{4}}=>[6,2,5,4,7,1,8,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0] [4,1,3,2,8,5,7,6]=>{{1,4},{2},{3},{5,8},{6},{7}}=>[4,2,3,1,8,6,7,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] [6,1,3,2,8,4,7,5]=>{{1,6},{2},{3},{4},{5,8},{7}}=>[6,2,3,4,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] [7,4,8,1,3,2,6,5]=>{{1,7},{2,4},{3,8},{5},{6}}=>[7,4,8,2,5,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] [3,1,6,2,8,4,7,5]=>{{1,3,6},{2},{4},{5,8},{7}}=>[3,2,6,4,8,1,7,5]=>[1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0] [6,2,8,3,7,1,5,4]=>{{1,6},{2},{3,8},{4},{5,7}}=>[6,2,8,4,7,1,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] [8,3,7,2,6,1,5,4]=>{{1,8},{2,3,7},{4},{5,6}}=>[8,3,7,4,6,5,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [7,3,8,2,6,1,5,4]=>{{1,7},{2,3,8},{4},{5,6}}=>[7,3,8,4,6,5,1,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] [5,3,6,2,8,1,4,7]=>{{1,5,8},{2,3,6},{4},{7}}=>[5,3,6,4,8,2,7,1]=>[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0] [5,3,6,2,4,8,1,7]=>{{1,5},{2,3,6,8},{4},{7}}=>[5,3,6,4,1,8,7,2]=>[1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0] [7,4,2,5,8,3,6,1]=>{{1,7},{2,4,5,8},{3},{6}}=>[7,4,3,5,8,6,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] [7,4,2,5,8,3,1,6]=>{{1,7},{2,4,5,8},{3},{6}}=>[7,4,3,5,8,6,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] [4,5,2,6,3,8,1,7]=>{{1,4,6,8},{2,5},{3},{7}}=>[4,5,3,6,2,8,7,1]=>[1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0] [4,5,2,1,6,8,3,7]=>{{1,4},{2,5,6,8},{3},{7}}=>[4,5,3,1,6,8,7,2]=>[1,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0] [5,3,1,6,8,2,4,7]=>{{1,5,8},{2,3},{4,6},{7}}=>[5,3,2,6,8,4,7,1]=>[1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0] [5,6,2,8,1,3,4,7]=>{{1,5},{2,6},{3},{4,8},{7}}=>[5,6,3,8,1,2,7,4]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0] [3,5,6,1,4,8,2,7]=>{{1,3,6,8},{2,5},{4},{7}}=>[3,5,6,4,2,8,7,1]=>[1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0] [4,5,1,6,3,8,2,7]=>{{1,4,6,8},{2,5},{3},{7}}=>[4,5,3,6,2,8,7,1]=>[1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0] [4,5,6,3,2,8,1,7]=>{{1,4},{2,5},{3,6,8},{7}}=>[4,5,6,1,2,8,7,3]=>[1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0] [6,7,4,8,3,2,5,1]=>{{1,6},{2,7},{3,4,8},{5}}=>[6,7,4,8,5,1,2,3]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0] [6,7,4,8,3,2,1,5]=>{{1,6},{2,7},{3,4,8},{5}}=>[6,7,4,8,5,1,2,3]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0] [6,7,4,1,8,3,2,5]=>{{1,6},{2,7},{3,4},{5,8}}=>[6,7,4,3,8,1,2,5]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0] [7,4,5,3,1,8,2,6]=>{{1,7},{2,4},{3,5},{6,8}}=>[7,4,5,2,3,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] [4,7,1,5,8,3,2,6]=>{{1,4,5,8},{2,7},{3},{6}}=>[4,7,3,5,8,6,2,1]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0] [5,3,7,8,1,4,2,6]=>{{1,5},{2,3,7},{4,8},{6}}=>[5,3,7,8,1,6,2,4]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0] [7,3,5,8,1,4,6,2]=>{{1,7},{2,3,5},{4,8},{6}}=>[7,3,5,8,2,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] [4,5,1,7,8,3,6,2]=>{{1,4,7},{2,5,8},{3},{6}}=>[4,5,3,7,8,6,1,2]=>[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] [7,4,1,5,8,3,6,2]=>{{1,7},{2,4,5,8},{3},{6}}=>[7,4,3,5,8,6,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] [6,7,4,3,8,1,5,2]=>{{1,6},{2,7},{3,4},{5,8}}=>[6,7,4,3,8,1,2,5]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0] [6,7,4,8,3,1,5,2]=>{{1,6},{2,7},{3,4,8},{5}}=>[6,7,4,8,5,1,2,3]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0] [6,7,4,8,3,5,2,1]=>{{1,6},{2,7},{3,4,8},{5}}=>[6,7,4,8,5,1,2,3]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0] [5,6,1,7,3,8,4,2]=>{{1,5},{2,6,8},{3},{4,7}}=>[5,6,3,7,1,8,4,2]=>[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] [5,1,6,7,3,8,4,2]=>{{1,5},{2},{3,6,8},{4,7}}=>[5,2,6,7,1,8,4,3]=>[1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0] [6,4,7,1,8,3,5,2]=>{{1,6},{2,4},{3,7},{5,8}}=>[6,4,7,2,8,1,3,5]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0] [5,6,7,3,2,1,8,4]=>{{1,5},{2,6},{3,7,8},{4}}=>[5,6,7,4,1,2,8,3]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0] [5,6,2,7,3,8,4,1]=>{{1,5},{2,6,8},{3},{4,7}}=>[5,6,3,7,1,8,4,2]=>[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] [5,6,2,1,7,3,8,4]=>{{1,5,7,8},{2,6},{3},{4}}=>[5,6,3,4,7,2,8,1]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0] [4,7,1,5,2,8,3,6]=>{{1,4,5},{2,7},{3},{6,8}}=>[4,7,3,5,1,8,2,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0] [7,4,2,5,1,8,3,6]=>{{1,7},{2,4,5},{3},{6,8}}=>[7,4,3,5,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] [6,7,4,2,8,3,1,5]=>{{1,6},{2,7},{3,4},{5,8}}=>[6,7,4,3,8,1,2,5]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0] [6,7,4,2,8,3,5,1]=>{{1,6},{2,7},{3,4},{5,8}}=>[6,7,4,3,8,1,2,5]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0] [3,6,7,2,1,8,4,5]=>{{1,3,7},{2,6,8},{4},{5}}=>[3,6,7,4,5,8,1,2]=>[1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0] [3,4,7,8,2,1,5,6]=>{{1,3,7},{2,4,8},{5},{6}}=>[3,4,7,8,5,6,1,2]=>[1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0] [3,4,7,8,2,6,1,5]=>{{1,3,7},{2,4,8},{5},{6}}=>[3,4,7,8,5,6,1,2]=>[1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0] [3,6,7,8,5,2,1,4]=>{{1,3,7},{2,6},{4,8},{5}}=>[3,6,7,8,5,2,1,4]=>[1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0] [3,6,7,8,5,2,4,1]=>{{1,3,7},{2,6},{4,8},{5}}=>[3,6,7,8,5,2,1,4]=>[1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0] [6,4,7,8,2,5,3,1]=>{{1,6},{2,4,8},{3,7},{5}}=>[6,4,7,8,5,1,3,2]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0] [6,4,7,8,2,1,5,3]=>{{1,6},{2,4,8},{3,7},{5}}=>[6,4,7,8,5,1,3,2]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0] [4,1,5,7,8,2,6,3]=>{{1,4,7},{2},{3,5,8},{6}}=>[4,2,5,7,8,6,1,3]=>[1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0] [5,3,7,8,1,6,2,4]=>{{1,5},{2,3,7},{4,8},{6}}=>[5,3,7,8,1,6,2,4]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0] [6,4,1,7,8,2,5,3]=>{{1,6},{2,4,7},{3},{5,8}}=>[6,4,3,7,8,1,2,5]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0] [5,6,2,1,7,8,4,3]=>{{1,5,7},{2,6,8},{3},{4}}=>[5,6,3,4,7,8,1,2]=>[1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0] [5,6,2,7,1,8,4,3]=>{{1,5},{2,6,8},{3},{4,7}}=>[5,6,3,7,1,8,4,2]=>[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] [5,6,2,7,8,4,3,1]=>{{1,5,8},{2,6},{3},{4,7}}=>[5,6,3,7,8,2,4,1]=>[1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0] [5,6,1,7,2,8,4,3]=>{{1,5},{2,6,8},{3},{4,7}}=>[5,6,3,7,1,8,4,2]=>[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] [5,1,6,7,2,8,4,3]=>{{1,5},{2},{3,6,8},{4,7}}=>[5,2,6,7,1,8,4,3]=>[1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0] [6,4,7,1,8,2,5,3]=>{{1,6},{2,4},{3,7},{5,8}}=>[6,4,7,2,8,1,3,5]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0] [6,7,8,5,2,4,1,3]=>{{1,6},{2,7},{3,8},{4,5}}=>[6,7,8,5,4,1,2,3]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] [4,6,7,8,1,5,3,2]=>{{1,4,8},{2,6},{3,7},{5}}=>[4,6,7,8,5,2,3,1]=>[1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0] [5,1,6,7,8,4,3,2]=>{{1,5,8},{2},{3,6},{4,7}}=>[5,2,6,7,8,3,4,1]=>[1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0] [5,6,1,7,8,4,3,2]=>{{1,5,8},{2,6},{3},{4,7}}=>[5,6,3,7,8,2,4,1]=>[1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0] [5,3,2,7,4,1,8,6]=>{{1,5},{2,3},{4,7,8},{6}}=>[5,3,2,7,1,6,8,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0] [7,5,3,8,2,4,6,1]=>{{1,7},{2,5},{3},{4,8},{6}}=>[7,5,3,8,2,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] [8,2,4,5,6,3,1,7]=>{{1,8},{2},{3,4,5,6},{7}}=>[8,2,4,5,6,3,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,2,4,5,6,1,3,7]=>{{1,8},{2},{3,4,5,6},{7}}=>[8,2,4,5,6,3,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,1,2,4,5,6,3,7]=>{{1,8},{2},{3},{4},{5},{6},{7}}=>[8,2,3,4,5,6,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,4,1,5,6,3,2,7]=>{{1,8},{2,4,5,6},{3},{7}}=>[8,4,3,5,6,2,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,1,4,5,6,3,2,7]=>{{1,8},{2},{3,4,5,6},{7}}=>[8,2,4,5,6,3,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [7,4,5,8,3,2,6,1]=>{{1,7},{2,4,8},{3,5},{6}}=>[7,4,5,8,3,6,1,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] [1,4,3,6,7,2,8,5]=>{{1},{2,4,6},{3},{5,7,8}}=>[1,4,3,6,7,2,8,5]=>[1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0] [4,5,3,7,1,8,2,6]=>{{1,4,7},{2,5},{3},{6,8}}=>[4,5,3,7,2,8,1,6]=>[1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0] [4,1,5,3,7,2,8,6]=>{{1,4},{2},{3,5,7,8},{6}}=>[4,2,5,1,7,6,8,3]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] [7,5,3,8,4,1,6,2]=>{{1,7},{2,5},{3},{4,8},{6}}=>[7,5,3,8,2,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] [7,4,5,8,3,6,1,2]=>{{1,7},{2,4,8},{3,5},{6}}=>[7,4,5,8,3,6,1,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] [1,6,4,7,8,3,5,2]=>{{1},{2,6},{3,4,7},{5,8}}=>[1,6,4,7,8,2,3,5]=>[1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0] [6,4,7,8,3,5,2,1]=>{{1,6},{2,4,8},{3,7},{5}}=>[6,4,7,8,5,1,3,2]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0] [3,5,6,7,8,4,1,2]=>{{1,3,6},{2,5,8},{4,7}}=>[3,5,6,7,8,1,4,2]=>[1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0] [3,1,5,6,7,8,4,2]=>{{1,3,5,7},{2},{4,6,8}}=>[3,2,5,6,7,8,1,4]=>[1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0] [4,6,1,7,8,3,5,2]=>{{1,4,7},{2,6},{3},{5,8}}=>[4,6,3,7,8,2,1,5]=>[1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0] [3,6,7,1,4,8,5,2]=>{{1,3,7},{2,6,8},{4},{5}}=>[3,6,7,4,5,8,1,2]=>[1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0] [2,6,7,1,4,8,3,5]=>{{1,2,6,8},{3,7},{4},{5}}=>[2,6,7,4,5,8,3,1]=>[1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0] [1,5,3,6,7,8,2,4]=>{{1},{2,5,7},{3},{4,6,8}}=>[1,5,3,6,7,8,2,4]=>[1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0] [3,5,6,7,8,2,1,4]=>{{1,3,6},{2,5,8},{4,7}}=>[3,5,6,7,8,1,4,2]=>[1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0] [3,5,6,7,8,2,4,1]=>{{1,3,6},{2,5,8},{4,7}}=>[3,5,6,7,8,1,4,2]=>[1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0] [5,2,7,1,3,8,4,6]=>{{1,5},{2},{3,7},{4},{6,8}}=>[5,2,7,4,1,8,3,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0] [5,3,1,7,8,2,4,6]=>{{1,5,8},{2,3},{4,7},{6}}=>[5,3,2,7,8,6,4,1]=>[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0] [4,5,2,7,8,1,3,6]=>{{1,4,7},{2,5,8},{3},{6}}=>[4,5,3,7,8,6,1,2]=>[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] [4,2,6,7,8,3,1,5]=>{{1,4,7},{2},{3,6},{5,8}}=>[4,2,6,7,8,3,1,5]=>[1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0] [4,2,6,7,8,3,5,1]=>{{1,4,7},{2},{3,6},{5,8}}=>[4,2,6,7,8,3,1,5]=>[1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0] [3,2,1,6,4,7,8,5]=>{{1,3},{2},{4,6,7,8},{5}}=>[3,2,1,6,5,7,8,4]=>[1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0] [7,8,4,2,1,3,6,5]=>{{1,7},{2,8},{3,4},{5},{6}}=>[7,8,4,3,5,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] [7,8,1,3,4,2,6,5]=>{{1,7},{2,8},{3},{4},{5},{6}}=>[7,8,3,4,5,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] [7,8,3,4,2,1,6,5]=>{{1,7},{2,8},{3},{4},{5},{6}}=>[7,8,3,4,5,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] [6,3,2,7,1,8,5,4]=>{{1,6,8},{2,3},{4,7},{5}}=>[6,3,2,7,5,8,4,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0] [6,4,7,8,5,2,3,1]=>{{1,6},{2,4,8},{3,7},{5}}=>[6,4,7,8,5,1,3,2]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0] [4,6,2,7,8,1,5,3]=>{{1,4,7},{2,6},{3},{5,8}}=>[4,6,3,7,8,2,1,5]=>[1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0] [7,4,1,5,8,6,2,3]=>{{1,7},{2,4,5,8},{3},{6}}=>[7,4,3,5,8,6,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] [7,5,3,8,6,1,2,4]=>{{1,7},{2,5,6},{3},{4,8}}=>[7,5,3,8,6,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] [6,3,1,7,8,2,5,4]=>{{1,6},{2,3},{4,7},{5,8}}=>[6,3,2,7,8,1,4,5]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0] [4,6,1,7,8,5,2,3]=>{{1,4,7},{2,6},{3},{5,8}}=>[4,6,3,7,8,2,1,5]=>[1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0] [5,2,6,7,8,4,1,3]=>{{1,5,8},{2},{3,6},{4,7}}=>[5,2,6,7,8,3,4,1]=>[1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0] [5,2,6,7,8,4,3,1]=>{{1,5,8},{2},{3,6},{4,7}}=>[5,2,6,7,8,3,4,1]=>[1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0] [2,5,6,7,8,4,1,3]=>{{1,2,5,8},{3,6},{4,7}}=>[2,5,6,7,8,3,4,1]=>[1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0] [1,5,2,6,7,8,4,3]=>{{1},{2,5,7},{3},{4,6,8}}=>[1,5,3,6,7,8,2,4]=>[1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0] [1,6,4,7,8,5,2,3]=>{{1},{2,6},{3,4,7},{5,8}}=>[1,6,4,7,8,2,3,5]=>[1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0] [2,6,7,1,3,8,5,4]=>{{1,2,6,8},{3,7},{4},{5}}=>[2,6,7,4,5,8,3,1]=>[1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0] [6,4,7,8,5,3,1,2]=>{{1,6},{2,4,8},{3,7},{5}}=>[6,4,7,8,5,1,3,2]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0] [4,5,2,3,7,6,1,8]=>{{1,4},{2,5,7},{3},{6},{8}}=>[4,5,3,1,7,6,2,8]=>[1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0] [1,5,6,3,4,8,7,2]=>{{1},{2,5},{3,6,8},{4},{7}}=>[1,5,6,4,2,8,7,3]=>[1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0] [4,6,2,7,3,5,1,8]=>{{1,4,7},{2,6},{3},{5},{8}}=>[4,6,3,7,5,2,1,8]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0] [3,2,6,7,4,5,1,8]=>{{1,3,6},{2},{4,7},{5},{8}}=>[3,2,6,7,5,1,4,8]=>[1,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0] [4,7,2,6,5,3,1,8]=>{{1,4,6},{2,7},{3},{5},{8}}=>[4,7,3,6,5,1,2,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] [3,2,1,7,8,5,6,4]=>{{1,3},{2},{4,7},{5,8},{6}}=>[3,2,1,7,8,6,4,5]=>[1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0] [1,6,7,8,3,4,5,2]=>{{1},{2,6},{3,7},{4,8},{5}}=>[1,6,7,8,5,2,3,4]=>[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] [1,5,7,3,8,4,6,2]=>{{1},{2,5,8},{3,7},{4},{6}}=>[1,5,7,4,8,6,3,2]=>[1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0] [1,4,3,7,8,5,6,2]=>{{1},{2,4,7},{3},{5,8},{6}}=>[1,4,3,7,8,6,2,5]=>[1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0] [8,4,3,7,1,5,2,6]=>{{1,8},{2,4,7},{3},{5},{6}}=>[8,4,3,7,5,6,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [6,4,3,8,2,1,5,7]=>{{1,6},{2,4,8},{3},{5},{7}}=>[6,4,3,8,5,1,7,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] [4,5,2,3,1,8,7,6]=>{{1,4},{2,5},{3},{6,8},{7}}=>[4,5,3,1,2,8,7,6]=>[1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0] [8,4,3,1,7,6,2,5]=>{{1,8},{2,4},{3},{5,7},{6}}=>[8,4,3,2,7,6,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,5,8,3,7,6,4,2]=>{{1},{2,5,7},{3,8},{4},{6}}=>[1,5,8,4,7,6,2,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] [8,5,1,3,7,6,2,4]=>{{1,8},{2,5,7},{3},{4},{6}}=>[8,5,3,4,7,6,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [3,1,2,6,5,8,7,4]=>{{1,3},{2},{4,6,8},{5},{7}}=>[3,2,1,6,5,8,7,4]=>[1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0] [3,1,5,2,4,8,7,6]=>{{1,3,5},{2},{4},{6,8},{7}}=>[3,2,5,4,1,8,7,6]=>[1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0] [4,5,1,2,3,8,7,6]=>{{1,4},{2,5},{3},{6,8},{7}}=>[4,5,3,1,2,8,7,6]=>[1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0] [1,6,5,3,4,8,7,2]=>{{1},{2,6,8},{3,5},{4},{7}}=>[1,6,5,4,3,8,7,2]=>[1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] [5,4,1,2,3,8,7,6]=>{{1,5},{2,4},{3},{6,8},{7}}=>[5,4,3,2,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] [5,4,1,2,7,3,6,8]=>{{1,5,7},{2,4},{3},{6},{8}}=>[5,4,3,2,7,6,1,8]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0] [6,4,1,8,2,3,5,7]=>{{1,6},{2,4,8},{3},{5},{7}}=>[6,4,3,8,5,1,7,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] [1,8,5,3,7,4,6,2]=>{{1},{2,8},{3,5,7},{4},{6}}=>[1,8,5,4,7,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] [8,5,1,2,7,3,6,4]=>{{1,8},{2,5,7},{3},{4},{6}}=>[8,5,3,4,7,6,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,4,1,2,7,3,6,5]=>{{1,8},{2,4},{3},{5,7},{6}}=>[8,4,3,2,7,6,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,4,1,7,2,3,5,6]=>{{1,8},{2,4,7},{3},{5},{6}}=>[8,4,3,7,5,6,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [7,4,1,6,2,3,5,8]=>{{1,7},{2,4,6},{3},{5},{8}}=>[7,4,3,6,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] [3,1,2,7,8,5,6,4]=>{{1,3},{2},{4,7},{5,8},{6}}=>[3,2,1,7,8,6,4,5]=>[1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0] [1,4,3,8,7,5,6,2]=>{{1},{2,4,8},{3},{5,7},{6}}=>[1,4,3,8,7,6,5,2]=>[1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] [3,1,2,8,7,5,6,4]=>{{1,3},{2},{4,8},{5,7},{6}}=>[3,2,1,8,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] [3,1,7,6,2,4,5,8]=>{{1,3,7},{2},{4,6},{5},{8}}=>[3,2,7,6,5,4,1,8]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0] [4,7,1,6,2,3,5,8]=>{{1,4,6},{2,7},{3},{5},{8}}=>[4,7,3,6,5,1,2,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] [1,5,8,3,7,4,6,2]=>{{1},{2,5,7},{3,8},{4},{6}}=>[1,5,8,4,7,6,2,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] [1,8,7,6,3,4,5,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] [3,2,5,1,6,4,8,7]=>{{1,3,5,6},{2},{4},{7,8}}=>[3,2,5,4,6,1,8,7]=>[1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] [3,2,5,4,7,1,8,6]=>{{1,3,5,7,8},{2},{4},{6}}=>[3,2,5,4,7,6,8,1]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] [4,2,5,3,7,6,8,1]=>{{1,4},{2},{3,5,7,8},{6}}=>[4,2,5,1,7,6,8,3]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] [4,2,5,3,7,1,8,6]=>{{1,4},{2},{3,5,7,8},{6}}=>[4,2,5,1,7,6,8,3]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] [4,2,5,3,6,1,8,7]=>{{1,4},{2},{3,5,6},{7,8}}=>[4,2,5,1,6,3,8,7]=>[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] [4,2,5,1,6,3,8,7]=>{{1,4},{2},{3,5,6},{7,8}}=>[4,2,5,1,6,3,8,7]=>[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] [3,1,5,4,6,2,8,7]=>{{1,3,5,6},{2},{4},{7,8}}=>[3,2,5,4,6,1,8,7]=>[1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] [4,1,5,3,6,2,8,7]=>{{1,4},{2},{3,5,6},{7,8}}=>[4,2,5,1,6,3,8,7]=>[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] [4,3,5,1,6,2,8,7]=>{{1,4},{2,3,5,6},{7,8}}=>[4,3,5,1,6,2,8,7]=>[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] [4,3,5,2,7,1,8,6]=>{{1,4},{2,3,5,7,8},{6}}=>[4,3,5,1,7,6,8,2]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] [4,3,6,2,7,5,8,1]=>{{1,4},{2,3,6},{5,7,8}}=>[4,3,6,1,7,2,8,5]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] [4,3,6,2,7,1,8,5]=>{{1,4},{2,3,6},{5,7,8}}=>[4,3,6,1,7,2,8,5]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] [4,3,6,1,7,2,8,5]=>{{1,4},{2,3,6},{5,7,8}}=>[4,3,6,1,7,2,8,5]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] [4,3,5,1,7,2,8,6]=>{{1,4},{2,3,5,7,8},{6}}=>[4,3,5,1,7,6,8,2]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] [3,1,5,4,7,2,8,6]=>{{1,3,5,7,8},{2},{4},{6}}=>[3,2,5,4,7,6,8,1]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] [2,1,5,4,7,3,8,6]=>{{1,2},{3,5,7,8},{4},{6}}=>[2,1,5,4,7,6,8,3]=>[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] [3,1,5,4,7,6,8,2]=>{{1,3,5,7,8},{2},{4},{6}}=>[3,2,5,4,7,6,8,1]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] [4,1,5,3,7,6,8,2]=>{{1,4},{2},{3,5,7,8},{6}}=>[4,2,5,1,7,6,8,3]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] [4,3,5,1,7,6,8,2]=>{{1,4},{2,3,5,7,8},{6}}=>[4,3,5,1,7,6,8,2]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] [4,3,6,1,7,5,8,2]=>{{1,4},{2,3,6},{5,7,8}}=>[4,3,6,1,7,2,8,5]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] [4,3,6,5,7,1,8,2]=>{{1,4,5,7,8},{2,3,6}}=>[4,3,6,5,7,2,8,1]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] [5,3,6,4,7,2,8,1]=>{{1,5,7,8},{2,3,6},{4}}=>[5,3,6,4,7,2,8,1]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] [5,3,6,4,7,1,8,2]=>{{1,5,7,8},{2,3,6},{4}}=>[5,3,6,4,7,2,8,1]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] [5,3,6,1,7,4,8,2]=>{{1,5,7,8},{2,3,6},{4}}=>[5,3,6,4,7,2,8,1]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] [5,1,6,3,7,4,8,2]=>{{1,5,7,8},{2},{3,6},{4}}=>[5,2,6,4,7,3,8,1]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] [4,1,6,3,7,5,8,2]=>{{1,4},{2},{3,6},{5,7,8}}=>[4,2,6,1,7,3,8,5]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] [3,1,6,4,7,5,8,2]=>{{1,3,6},{2},{4},{5,7,8}}=>[3,2,6,4,7,1,8,5]=>[1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] [2,1,6,4,7,5,8,3]=>{{1,2},{3,6},{4},{5,7,8}}=>[2,1,6,4,7,3,8,5]=>[1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] [2,1,6,4,7,3,8,5]=>{{1,2},{3,6},{4},{5,7,8}}=>[2,1,6,4,7,3,8,5]=>[1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] [3,1,6,4,7,2,8,5]=>{{1,3,6},{2},{4},{5,7,8}}=>[3,2,6,4,7,1,8,5]=>[1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] [4,1,6,3,7,2,8,5]=>{{1,4},{2},{3,6},{5,7,8}}=>[4,2,6,1,7,3,8,5]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] [5,1,6,3,7,2,8,4]=>{{1,5,7,8},{2},{3,6},{4}}=>[5,2,6,4,7,3,8,1]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] [5,3,6,1,7,2,8,4]=>{{1,5,7,8},{2,3,6},{4}}=>[5,3,6,4,7,2,8,1]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] [5,3,6,2,7,1,8,4]=>{{1,5,7,8},{2,3,6},{4}}=>[5,3,6,4,7,2,8,1]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] [5,3,6,2,7,4,8,1]=>{{1,5,7,8},{2,3,6},{4}}=>[5,3,6,4,7,2,8,1]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] [5,2,6,3,7,4,8,1]=>{{1,5,7,8},{2},{3,6},{4}}=>[5,2,6,4,7,3,8,1]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] [5,2,6,3,7,1,8,4]=>{{1,5,7,8},{2},{3,6},{4}}=>[5,2,6,4,7,3,8,1]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] [5,2,6,1,7,3,8,4]=>{{1,5,7,8},{2},{3,6},{4}}=>[5,2,6,4,7,3,8,1]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] [4,2,5,1,7,3,8,6]=>{{1,4},{2},{3,5,7,8},{6}}=>[4,2,5,1,7,6,8,3]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] [4,2,6,1,7,3,8,5]=>{{1,4},{2},{3,6},{5,7,8}}=>[4,2,6,1,7,3,8,5]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] [4,2,6,3,7,1,8,5]=>{{1,4},{2},{3,6},{5,7,8}}=>[4,2,6,1,7,3,8,5]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] [4,2,6,3,7,5,8,1]=>{{1,4},{2},{3,6},{5,7,8}}=>[4,2,6,1,7,3,8,5]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] [3,2,6,4,7,5,8,1]=>{{1,3,6},{2},{4},{5,7,8}}=>[3,2,6,4,7,1,8,5]=>[1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] [3,2,6,4,7,1,8,5]=>{{1,3,6},{2},{4},{5,7,8}}=>[3,2,6,4,7,1,8,5]=>[1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] [3,2,6,1,7,4,8,5]=>{{1,3,6},{2},{4},{5,7,8}}=>[3,2,6,4,7,1,8,5]=>[1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] [3,2,5,1,7,4,8,6]=>{{1,3,5,7,8},{2},{4},{6}}=>[3,2,5,4,7,6,8,1]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] [3,2,4,1,7,5,8,6]=>{{1,3,4},{2},{5,7,8},{6}}=>[3,2,4,1,7,6,8,5]=>[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] [3,1,4,2,7,6,8,5]=>{{1,3,4},{2},{5,7,8},{6}}=>[3,2,4,1,7,6,8,5]=>[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] [3,2,5,1,7,6,8,4]=>{{1,3,5,7,8},{2},{4},{6}}=>[3,2,5,4,7,6,8,1]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] [3,2,6,1,7,5,8,4]=>{{1,3,6},{2},{4},{5,7,8}}=>[3,2,6,4,7,1,8,5]=>[1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] [3,2,6,5,7,1,8,4]=>{{1,3,6},{2},{4,5,7,8}}=>[3,2,6,5,7,1,8,4]=>[1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] [4,2,6,5,7,3,8,1]=>{{1,4,5,7,8},{2},{3,6}}=>[4,2,6,5,7,3,8,1]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] [4,2,6,5,7,1,8,3]=>{{1,4,5,7,8},{2},{3,6}}=>[4,2,6,5,7,3,8,1]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] [4,2,6,1,7,5,8,3]=>{{1,4},{2},{3,6},{5,7,8}}=>[4,2,6,1,7,3,8,5]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] [4,2,5,1,7,6,8,3]=>{{1,4},{2},{3,5,7,8},{6}}=>[4,2,5,1,7,6,8,3]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] [4,1,5,2,7,6,8,3]=>{{1,4},{2},{3,5,7,8},{6}}=>[4,2,5,1,7,6,8,3]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] [3,1,5,2,7,6,8,4]=>{{1,3,5,7,8},{2},{4},{6}}=>[3,2,5,4,7,6,8,1]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] [2,1,5,3,7,6,8,4]=>{{1,2},{3,5,7,8},{4},{6}}=>[2,1,5,4,7,6,8,3]=>[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] [2,1,6,3,7,5,8,4]=>{{1,2},{3,6},{4},{5,7,8}}=>[2,1,6,4,7,3,8,5]=>[1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] [3,1,6,2,7,5,8,4]=>{{1,3,6},{2},{4},{5,7,8}}=>[3,2,6,4,7,1,8,5]=>[1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] [4,1,6,2,7,5,8,3]=>{{1,4},{2},{3,6},{5,7,8}}=>[4,2,6,1,7,3,8,5]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] [5,1,6,2,7,4,8,3]=>{{1,5,7,8},{2},{3,6},{4}}=>[5,2,6,4,7,3,8,1]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] [5,2,6,1,7,4,8,3]=>{{1,5,7,8},{2},{3,6},{4}}=>[5,2,6,4,7,3,8,1]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] [5,2,6,4,7,1,8,3]=>{{1,5,7,8},{2},{3,6},{4}}=>[5,2,6,4,7,3,8,1]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] [5,2,6,4,7,3,8,1]=>{{1,5,7,8},{2},{3,6},{4}}=>[5,2,6,4,7,3,8,1]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] [5,4,6,2,7,3,8,1]=>{{1,5,7,8},{2,4},{3,6}}=>[5,4,6,2,7,3,8,1]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] [5,4,6,2,7,1,8,3]=>{{1,5,7,8},{2,4},{3,6}}=>[5,4,6,2,7,3,8,1]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] [5,4,6,1,7,2,8,3]=>{{1,5,7,8},{2,4},{3,6}}=>[5,4,6,2,7,3,8,1]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] [5,1,6,4,7,2,8,3]=>{{1,5,7,8},{2},{3,6},{4}}=>[5,2,6,4,7,3,8,1]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] [4,1,6,5,7,2,8,3]=>{{1,4,5,7,8},{2},{3,6}}=>[4,2,6,5,7,3,8,1]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] [3,1,6,5,7,2,8,4]=>{{1,3,6},{2},{4,5,7,8}}=>[3,2,6,5,7,1,8,4]=>[1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] [2,1,6,5,7,3,8,4]=>{{1,2},{3,6},{4,5,7,8}}=>[2,1,6,5,7,3,8,4]=>[1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] [3,1,6,5,7,4,8,2]=>{{1,3,6},{2},{4,5,7,8}}=>[3,2,6,5,7,1,8,4]=>[1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] [4,1,6,5,7,3,8,2]=>{{1,4,5,7,8},{2},{3,6}}=>[4,2,6,5,7,3,8,1]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] [5,1,6,4,7,3,8,2]=>{{1,5,7,8},{2},{3,6},{4}}=>[5,2,6,4,7,3,8,1]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] [5,4,6,1,7,3,8,2]=>{{1,5,7,8},{2,4},{3,6}}=>[5,4,6,2,7,3,8,1]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] [5,4,6,3,7,1,8,2]=>{{1,5,7,8},{2,4},{3,6}}=>[5,4,6,2,7,3,8,1]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] [3,7,5,2,4,1,8,6]=>{{1,3,5},{2,7,8},{4},{6}}=>[3,7,5,4,1,6,8,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0] [8,3,7,5,2,4,6,1]=>{{1,8},{2,3,7},{4,5},{6}}=>[8,3,7,5,4,6,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,2,4,5,7,3,6,1]=>{{1,8},{2},{3,4,5,7},{6}}=>[8,2,4,5,7,6,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [4,6,8,3,2,7,5,1]=>{{1,4},{2,6,7},{3,8},{5}}=>[4,6,8,1,5,7,2,3]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] [4,7,6,3,2,8,1,5]=>{{1,4},{2,7},{3,6,8},{5}}=>[4,7,6,1,5,8,2,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0] [1,4,6,7,3,2,8,5]=>{{1},{2,4,7,8},{3,6},{5}}=>[1,4,6,7,5,3,8,2]=>[1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] [5,4,7,3,1,8,2,6]=>{{1,5},{2,4},{3,7},{6,8}}=>[5,4,7,2,1,8,3,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0] [3,7,5,1,4,2,8,6]=>{{1,3,5},{2,7,8},{4},{6}}=>[3,7,5,4,1,6,8,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0] [8,3,7,5,1,4,6,2]=>{{1,8},{2,3,7},{4,5},{6}}=>[8,3,7,5,4,6,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,4,1,7,5,3,6,2]=>{{1,8},{2,4,7},{3},{5},{6}}=>[8,4,3,7,5,6,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [4,6,3,8,7,1,5,2]=>{{1,4,8},{2,6},{3},{5,7}}=>[4,6,3,8,7,2,5,1]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0] [8,4,7,6,3,5,2,1]=>{{1,8},{2,4,6},{3,7},{5}}=>[8,4,7,6,5,2,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [3,6,5,8,7,4,1,2]=>{{1,3,5,7},{2,6},{4,8}}=>[3,6,5,8,7,2,1,4]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0] [4,8,1,6,7,3,5,2]=>{{1,4,6},{2,8},{3},{5,7}}=>[4,8,3,6,7,1,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] [2,7,6,8,1,4,3,5]=>{{1,2,7},{3,6},{4,8},{5}}=>[2,7,6,8,5,3,1,4]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0] [3,7,1,6,4,8,2,5]=>{{1,3},{2,7},{4,6,8},{5}}=>[3,7,1,6,5,8,2,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0] [1,7,3,5,6,8,2,4]=>{{1},{2,7},{3},{4,5,6,8}}=>[1,7,3,5,6,8,2,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0] [1,3,6,7,5,8,2,4]=>{{1},{2,3,6,8},{4,7},{5}}=>[1,3,6,7,5,8,4,2]=>[1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] [3,7,6,5,8,2,1,4]=>{{1,3,6},{2,7},{4,5,8}}=>[3,7,6,5,8,1,2,4]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0] [3,6,8,5,7,2,4,1]=>{{1,3,8},{2,6},{4,5,7}}=>[3,6,8,5,7,2,4,1]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0] [2,3,5,7,6,8,1,4]=>{{1,2,3,5,6,8},{4,7}}=>[2,3,5,7,6,8,4,1]=>[1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0] [2,1,6,5,7,8,3,4]=>{{1,2},{3,6,8},{4,5,7}}=>[2,1,6,5,7,8,4,3]=>[1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0] [4,2,7,6,8,3,1,5]=>{{1,4,6},{2},{3,7},{5,8}}=>[4,2,7,6,8,1,3,5]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0] [4,2,6,8,7,3,5,1]=>{{1,4,8},{2},{3,6},{5,7}}=>[4,2,6,8,7,3,5,1]=>[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0] [3,8,2,4,6,7,5,1]=>{{1,3},{2,8},{4},{5,6,7}}=>[3,8,1,4,6,7,5,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] [3,7,2,6,4,8,1,5]=>{{1,3},{2,7},{4,6,8},{5}}=>[3,7,1,6,5,8,2,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0] [8,3,6,7,2,1,5,4]=>{{1,8},{2,3,6},{4,7},{5}}=>[8,3,6,7,5,2,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [3,7,8,6,2,1,5,4]=>{{1,3,8},{2,7},{4,6},{5}}=>[3,7,8,6,5,4,2,1]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0] [2,7,4,8,1,6,5,3]=>{{1,2,7},{3,4,8},{5},{6}}=>[2,7,4,8,5,6,1,3]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0] [4,6,8,2,1,7,5,3]=>{{1,4},{2,6,7},{3,8},{5}}=>[4,6,8,1,5,7,2,3]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] [8,4,1,5,7,2,6,3]=>{{1,8},{2,4,5,7},{3},{6}}=>[8,4,3,5,7,6,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,3,6,1,7,5,2,4]=>{{1,8},{2,3,6},{4},{5,7}}=>[8,3,6,4,7,2,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [4,6,1,8,7,2,5,3]=>{{1,4,8},{2,6},{3},{5,7}}=>[4,6,3,8,7,2,5,1]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0] [2,7,6,8,5,4,1,3]=>{{1,2,7},{3,6},{4,8},{5}}=>[2,7,6,8,5,3,1,4]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0] [2,7,8,6,1,3,5,4]=>{{1,2,7},{3,8},{4,6},{5}}=>[2,7,8,6,5,4,1,3]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0] [8,4,7,6,5,1,3,2]=>{{1,8},{2,4,6},{3,7},{5}}=>[8,4,7,6,5,2,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,7,1,5,6,4,3,2]=>{{1,8},{2,7},{3},{4,5,6}}=>[8,7,3,5,6,4,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [4,6,3,5,1,2,8,7]=>{{1,4,5},{2,6},{3},{7,8}}=>[4,6,3,5,1,2,8,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0] [6,8,1,4,5,7,3,2]=>{{1,6,7},{2,8},{3},{4},{5}}=>[6,8,3,4,5,7,1,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] [6,1,2,4,5,3,8,7]=>{{1,6},{2},{3},{4},{5},{7,8}}=>[6,2,3,4,5,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] [5,4,3,6,1,2,8,7]=>{{1,5},{2,4,6},{3},{7,8}}=>[5,4,3,6,1,2,8,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0] [2,1,6,8,5,7,3,4]=>{{1,2},{3,6,7},{4,8},{5}}=>[2,1,6,8,5,7,3,4]=>[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0] [5,6,3,8,1,7,2,4]=>{{1,5},{2,6,7},{3},{4,8}}=>[5,6,3,8,1,7,2,4]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0] [3,7,6,4,5,8,2,1]=>{{1,3,6,8},{2,7},{4},{5}}=>[3,7,6,4,5,8,2,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0] [2,5,8,4,7,6,1,3]=>{{1,2,5,7},{3,8},{4},{6}}=>[2,5,8,4,7,6,1,3]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0] [3,8,4,2,5,6,7,1]=>{{1,3,4},{2,8},{5},{6},{7}}=>[3,8,4,1,5,6,7,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] [8,4,1,3,5,6,7,2]=>{{1,8},{2,4},{3},{5},{6},{7}}=>[8,4,3,2,5,6,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [6,4,3,8,2,1,7,5]=>{{1,6},{2,4,8},{3},{5},{7}}=>[6,4,3,8,5,1,7,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] [8,3,1,2,5,6,7,4]=>{{1,8},{2,3},{4},{5},{6},{7}}=>[8,3,2,4,5,6,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [3,1,8,2,5,6,7,4]=>{{1,3,8},{2},{4},{5},{6},{7}}=>[3,2,8,4,5,6,7,1]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0] [2,3,8,1,5,6,7,4]=>{{1,2,3,8},{4},{5},{6},{7}}=>[2,3,8,4,5,6,7,1]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0] [4,8,2,3,5,6,7,1]=>{{1,4},{2,8},{3},{5},{6},{7}}=>[4,8,3,1,5,6,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] [3,8,2,1,5,6,7,4]=>{{1,3},{2,8},{4},{5},{6},{7}}=>[3,8,1,4,5,6,7,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] [2,8,1,3,5,6,7,4]=>{{1,2,8},{3},{4},{5},{6},{7}}=>[2,8,3,4,5,6,7,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] [8,1,2,3,5,6,7,4]=>{{1,8},{2},{3},{4},{5},{6},{7}}=>[8,2,3,4,5,6,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [7,8,2,4,3,6,1,5]=>{{1,7},{2,8},{3},{4},{5},{6}}=>[7,8,3,4,5,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] [6,8,3,2,4,1,7,5]=>{{1,6},{2,8},{3},{4},{5},{7}}=>[6,8,3,4,5,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] [5,6,3,8,4,2,7,1]=>{{1,5},{2,6},{3},{4,8},{7}}=>[5,6,3,8,1,2,7,4]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0] [7,5,3,8,2,4,1,6]=>{{1,7},{2,5},{3},{4,8},{6}}=>[7,5,3,8,2,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] [7,5,3,6,2,8,1,4]=>{{1,7},{2,5},{3},{4,6,8}}=>[7,5,3,6,2,8,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] [4,5,3,8,6,2,7,1]=>{{1,4,8},{2,5,6},{3},{7}}=>[4,5,3,8,6,2,7,1]=>[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0] [3,5,8,4,7,6,2,1]=>{{1,3,8},{2,5,7},{4},{6}}=>[3,5,8,4,7,6,2,1]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0] [2,7,6,4,5,8,1,3]=>{{1,2,7},{3,6,8},{4},{5}}=>[2,7,6,4,5,8,1,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0] [5,7,3,6,1,8,2,4]=>{{1,5},{2,7},{3},{4,6,8}}=>[5,7,3,6,1,8,2,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0] [2,1,7,6,5,8,3,4]=>{{1,2},{3,7},{4,6,8},{5}}=>[2,1,7,6,5,8,3,4]=>[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0] [4,8,1,2,5,6,7,3]=>{{1,4},{2,8},{3},{5},{6},{7}}=>[4,8,3,1,5,6,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] [3,4,8,1,5,6,7,2]=>{{1,3,8},{2,4},{5},{6},{7}}=>[3,4,8,2,5,6,7,1]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0] [8,4,2,1,5,6,7,3]=>{{1,8},{2,4},{3},{5},{6},{7}}=>[8,4,3,2,5,6,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [6,4,3,5,8,1,7,2]=>{{1,6},{2,4,5,8},{3},{7}}=>[6,4,3,5,8,1,7,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] [7,3,5,4,8,6,1,2]=>{{1,7},{2,3,5,8},{4},{6}}=>[7,3,5,4,8,6,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] [8,3,4,1,5,6,7,2]=>{{1,8},{2,3,4},{5},{6},{7}}=>[8,3,4,2,5,6,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [6,5,3,7,2,8,4,1]=>{{1,6,8},{2,5},{3},{4,7}}=>[6,5,3,7,2,8,4,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0] [6,3,7,4,5,8,2,1]=>{{1,6,8},{2,3,7},{4},{5}}=>[6,3,7,4,5,8,2,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0] [2,5,7,4,8,6,3,1]=>{{1,2,5,8},{3,7},{4},{6}}=>[2,5,7,4,8,6,3,1]=>[1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0] [5,6,3,7,1,8,4,2]=>{{1,5},{2,6,8},{3},{4,7}}=>[5,6,3,7,1,8,4,2]=>[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] [3,7,5,4,8,6,2,1]=>{{1,3,5,8},{2,7},{4},{6}}=>[3,7,5,4,8,6,2,1]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0] [4,6,3,5,8,2,7,1]=>{{1,4,5,8},{2,6},{3},{7}}=>[4,6,3,5,8,2,7,1]=>[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0] [3,2,5,1,6,8,4,7]=>{{1,3,5,6,8},{2},{4},{7}}=>[3,2,5,4,6,8,7,1]=>[1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0] [3,6,2,5,4,8,1,7]=>{{1,3},{2,6,8},{4,5},{7}}=>[3,6,1,5,4,8,7,2]=>[1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0] [3,5,2,4,7,1,8,6]=>{{1,3},{2,5,7,8},{4},{6}}=>[3,5,1,4,7,6,8,2]=>[1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0] [4,2,5,8,3,7,6,1]=>{{1,4,8},{2},{3,5},{6,7}}=>[4,2,5,8,3,7,6,1]=>[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0] [4,2,6,5,3,8,1,7]=>{{1,4,5},{2},{3,6,8},{7}}=>[4,2,6,5,1,8,7,3]=>[1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0] [5,4,2,1,6,8,3,7]=>{{1,5,6,8},{2,4},{3},{7}}=>[5,4,3,2,6,8,7,1]=>[1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0] [6,3,5,1,4,8,2,7]=>{{1,6,8},{2,3,5},{4},{7}}=>[6,3,5,4,2,8,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0] [4,6,1,5,3,8,2,7]=>{{1,4,5},{2,6,8},{3},{7}}=>[4,6,3,5,1,8,7,2]=>[1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0] [5,4,3,2,7,1,8,6]=>{{1,5,7,8},{2,4},{3},{6}}=>[5,4,3,2,7,6,8,1]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0] [5,4,3,8,2,7,6,1]=>{{1,5},{2,4,8},{3},{6,7}}=>[5,4,3,8,1,7,6,2]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] [4,3,6,2,8,7,5,1]=>{{1,4},{2,3,6,7},{5,8}}=>[4,3,6,1,8,7,2,5]=>[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0] [4,3,7,6,2,1,8,5]=>{{1,4,6},{2,3,7,8},{5}}=>[4,3,7,6,5,1,8,2]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0] [7,5,4,3,1,8,2,6]=>{{1,7},{2,5},{3,4},{6,8}}=>[7,5,4,3,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] [1,4,7,5,8,3,2,6]=>{{1},{2,4,5,8},{3,7},{6}}=>[1,4,7,5,8,6,3,2]=>[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0] [2,8,5,7,4,6,1,3]=>{{1,2,8},{3,5},{4,7},{6}}=>[2,8,5,7,3,6,4,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] [3,5,8,7,1,4,6,2]=>{{1,3,8},{2,5},{4,7},{6}}=>[3,5,8,7,2,6,4,1]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0] [1,4,5,8,7,3,6,2]=>{{1},{2,4,8},{3,5,7},{6}}=>[1,4,5,8,7,6,3,2]=>[1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0] [1,5,4,8,7,3,6,2]=>{{1},{2,5,7},{3,4,8},{6}}=>[1,5,4,8,7,6,2,3]=>[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0] [6,4,3,8,1,7,5,2]=>{{1,6,7},{2,4,8},{3},{5}}=>[6,4,3,8,5,7,1,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] [4,8,3,7,6,5,2,1]=>{{1,4,7},{2,8},{3},{5,6}}=>[4,8,3,7,6,5,1,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] [1,8,6,5,3,7,4,2]=>{{1},{2,8},{3,6,7},{4,5}}=>[1,8,6,5,4,7,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,5,8,6,3,7,4,2]=>{{1},{2,5},{3,8},{4,6,7}}=>[1,5,8,6,2,7,4,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] [4,6,1,8,7,3,5,2]=>{{1,4,8},{2,6},{3},{5,7}}=>[4,6,3,8,7,2,5,1]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0] [7,3,1,6,8,4,2,5]=>{{1,7},{2,3},{4,6},{5,8}}=>[7,3,2,6,8,4,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] [1,7,6,4,8,3,2,5]=>{{1},{2,7},{3,6},{4},{5,8}}=>[1,7,6,4,8,3,2,5]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] [5,7,1,6,3,2,8,4]=>{{1,5},{2,7,8},{3},{4,6}}=>[5,7,3,6,1,4,8,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0] [6,1,7,5,3,2,8,4]=>{{1,6},{2},{3,7,8},{4,5}}=>[6,2,7,5,4,1,8,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0] [7,6,5,3,2,1,8,4]=>{{1,7,8},{2,6},{3,5},{4}}=>[7,6,5,4,3,2,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] [6,5,3,2,8,7,4,1]=>{{1,6,7},{2,5,8},{3},{4}}=>[6,5,3,4,8,7,1,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] [5,2,6,3,8,7,4,1]=>{{1,5,8},{2},{3,6,7},{4}}=>[5,2,6,4,8,7,3,1]=>[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0] [5,2,7,4,1,8,3,6]=>{{1,5},{2},{3,7},{4},{6,8}}=>[5,2,7,4,1,8,3,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0] [4,7,2,6,3,1,8,5]=>{{1,4,6},{2,7,8},{3},{5}}=>[4,7,3,6,5,1,8,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0] [2,4,8,6,3,7,5,1]=>{{1,2,4,6,7},{3,8},{5}}=>[2,4,8,6,5,7,1,3]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0] [3,8,6,2,4,7,5,1]=>{{1,3,6,7},{2,8},{4},{5}}=>[3,8,6,4,5,7,1,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] [7,3,6,2,4,1,8,5]=>{{1,7,8},{2,3,6},{4},{5}}=>[7,3,6,4,5,2,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] [3,6,7,2,1,4,8,5]=>{{1,3,7,8},{2,6},{4},{5}}=>[3,6,7,4,5,2,8,1]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0] [4,3,7,8,2,1,5,6]=>{{1,4,8},{2,3,7},{5},{6}}=>[4,3,7,8,5,6,2,1]=>[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0] [3,8,2,5,7,1,6,4]=>{{1,3},{2,8},{4,5,7},{6}}=>[3,8,1,5,7,6,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] [8,3,6,2,7,1,5,4]=>{{1,8},{2,3,6},{4},{5,7}}=>[8,3,6,4,7,2,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [4,2,6,8,1,7,5,3]=>{{1,4,8},{2},{3,6,7},{5}}=>[4,2,6,8,5,7,3,1]=>[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0] [5,4,8,2,7,1,6,3]=>{{1,5,7},{2,4},{3,8},{6}}=>[5,4,8,2,7,6,1,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0] [4,8,1,5,7,2,6,3]=>{{1,4,5,7},{2,8},{3},{6}}=>[4,8,3,5,7,6,1,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] [5,8,7,2,6,1,3,4]=>{{1,5,6},{2,8},{3,7},{4}}=>[5,8,7,4,6,1,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] [3,6,8,1,7,5,2,4]=>{{1,3,8},{2,6},{4},{5,7}}=>[3,6,8,4,7,2,5,1]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0] [6,5,2,8,1,7,4,3]=>{{1,6,7},{2,5},{3},{4,8}}=>[6,5,3,8,2,7,1,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] [5,8,2,7,6,4,3,1]=>{{1,5,6},{2,8},{3},{4,7}}=>[5,8,3,7,6,1,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] [7,5,1,8,2,6,4,3]=>{{1,7},{2,5},{3},{4,8},{6}}=>[7,5,3,8,2,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] [4,7,1,8,6,2,5,3]=>{{1,4,8},{2,7},{3},{5,6}}=>[4,7,3,8,6,5,2,1]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0] [7,8,3,1,6,5,2,4]=>{{1,7},{2,8},{3},{4},{5,6}}=>[7,8,3,4,6,5,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] [8,7,4,6,1,5,3,2]=>{{1,8},{2,7},{3,4,6},{5}}=>[8,7,4,6,5,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,5,7,1,6,4,3,2]=>{{1,8},{2,5,6},{3,7},{4}}=>[8,5,7,4,6,2,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [5,4,2,3,7,6,1,8]=>{{1,5,7},{2,4},{3},{6},{8}}=>[5,4,3,2,7,6,1,8]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0] [7,4,2,6,3,5,1,8]=>{{1,7},{2,4,6},{3},{5},{8}}=>[7,4,3,6,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] [3,2,7,6,4,5,1,8]=>{{1,3,7},{2},{4,6},{5},{8}}=>[3,2,7,6,5,4,1,8]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0] [4,7,2,6,3,5,1,8]=>{{1,4,6},{2,7},{3},{5},{8}}=>[4,7,3,6,5,1,2,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] [1,6,5,2,3,8,4,7]=>{{1},{2,6,8},{3,5},{4},{7}}=>[1,6,5,4,3,8,7,2]=>[1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] [3,2,1,6,4,8,5,7]=>{{1,3},{2},{4,6,8},{5},{7}}=>[3,2,1,6,5,8,7,4]=>[1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0] [1,8,5,2,7,3,4,6]=>{{1},{2,8},{3,5,7},{4},{6}}=>[1,8,5,4,7,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] [3,2,1,7,8,4,5,6]=>{{1,3},{2},{4,7},{5,8},{6}}=>[3,2,1,7,8,6,4,5]=>[1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0] [6,4,2,8,3,1,5,7]=>{{1,6},{2,4,8},{3},{5},{7}}=>[6,4,3,8,5,1,7,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] [3,2,5,4,1,8,6,7]=>{{1,3,5},{2},{4},{6,8},{7}}=>[3,2,5,4,1,8,7,6]=>[1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0] [4,5,2,3,1,8,6,7]=>{{1,4},{2,5},{3},{6,8},{7}}=>[4,5,3,1,2,8,7,6]=>[1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0] [5,4,2,3,1,8,6,7]=>{{1,5},{2,4},{3},{6,8},{7}}=>[5,4,3,2,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] [8,4,2,1,7,3,5,6]=>{{1,8},{2,4},{3},{5,7},{6}}=>[8,4,3,2,7,6,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,4,2,8,7,3,5,6]=>{{1},{2,4,8},{3},{5,7},{6}}=>[1,4,3,8,7,6,5,2]=>[1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] [1,5,8,2,7,3,4,6]=>{{1},{2,5,7},{3,8},{4},{6}}=>[1,5,8,4,7,6,2,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] [8,5,1,2,7,3,4,6]=>{{1,8},{2,5,7},{3},{4},{6}}=>[8,5,3,4,7,6,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [3,2,1,8,7,4,5,6]=>{{1,3},{2},{4,8},{5,7},{6}}=>[3,2,1,8,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] [1,8,7,6,2,3,4,5]=>{{1},{2,8},{3,7},{4,6},{5}}=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] [6,3,5,1,2,4,8,7]=>{{1,6},{2,3,5},{4},{7,8}}=>[6,3,5,4,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] [4,3,5,6,1,2,8,7]=>{{1,4,6},{2,3,5},{7,8}}=>[4,3,5,6,2,1,8,7]=>[1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0] [8,3,7,5,2,1,4,6]=>{{1,8},{2,3,7},{4,5},{6}}=>[8,3,7,5,4,6,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [6,5,2,7,1,8,3,4]=>{{1,6,8},{2,5},{3},{4,7}}=>[6,5,3,7,2,8,4,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0] [2,6,1,5,4,3,8,7]=>{{1,2,6},{3},{4,5},{7,8}}=>[2,6,3,5,4,1,8,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0] [6,4,3,5,1,2,8,7]=>{{1,6},{2,4,5},{3},{7,8}}=>[6,4,3,5,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] [5,3,1,4,6,2,8,7]=>{{1,5,6},{2,3},{4},{7,8}}=>[5,3,2,4,6,1,8,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0] [5,7,4,6,2,8,3,1]=>{{1,5},{2,7},{3,4,6,8}}=>[5,7,4,6,1,8,2,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0] [3,4,7,8,5,2,1,6]=>{{1,3,7},{2,4,8},{5},{6}}=>[3,4,7,8,5,6,1,2]=>[1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0] [2,1,8,5,7,3,4,6]=>{{1,2},{3,8},{4,5,7},{6}}=>[2,1,8,5,7,6,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] [8,6,3,5,1,7,4,2]=>{{1,8},{2,6,7},{3},{4,5}}=>[8,6,3,5,4,7,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [3,4,8,6,5,7,1,2]=>{{1,3,8},{2,4,6,7},{5}}=>[3,4,8,6,5,7,2,1]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0] [7,5,4,8,1,6,3,2]=>{{1,7},{2,5},{3,4,8},{6}}=>[7,5,4,8,2,6,1,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] [5,1,4,6,8,2,7,3]=>{{1,5,8},{2},{3,4,6},{7}}=>[5,2,4,6,8,3,7,1]=>[1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0] [2,5,4,6,7,1,8,3]=>{{1,2,5,7,8},{3,4,6}}=>[2,5,4,6,7,3,8,1]=>[1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0] [2,4,6,3,7,5,8,1]=>{{1,2,4},{3,6},{5,7,8}}=>[2,4,6,1,7,3,8,5]=>[1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0] [3,7,4,2,8,6,5,1]=>{{1,3,4},{2,7},{5,8},{6}}=>[3,7,4,1,8,6,2,5]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0] [2,1,4,8,3,7,6,5]=>{{1,2},{3,4,8},{5},{6,7}}=>[2,1,4,8,5,7,6,3]=>[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0] [6,3,7,4,1,8,2,5]=>{{1,6,8},{2,3,7},{4},{5}}=>[6,3,7,4,5,8,2,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0] [2,3,8,1,6,7,5,4]=>{{1,2,3,8},{4},{5,6,7}}=>[2,3,8,4,6,7,5,1]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0] [2,7,8,5,4,3,1,6]=>{{1,2,7},{3,8},{4,5},{6}}=>[2,7,8,5,4,6,1,3]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0] [3,8,6,7,2,4,1,5]=>{{1,3,6},{2,8},{4,7},{5}}=>[3,8,6,7,5,1,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] [5,3,8,7,4,2,6,1]=>{{1,5},{2,3,8},{4,7},{6}}=>[5,3,8,7,1,6,4,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0] [4,3,8,7,2,1,6,5]=>{{1,4,7},{2,3,8},{5},{6}}=>[4,3,8,7,5,6,1,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] [7,3,5,8,2,4,1,6]=>{{1,7},{2,3,5},{4,8},{6}}=>[7,3,5,8,2,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] [4,1,3,2,6,7,8,5]=>{{1,4},{2},{3},{5,6,7,8}}=>[4,2,3,1,6,7,8,5]=>[1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0] [5,6,2,8,7,4,1,3]=>{{1,5,7},{2,6},{3},{4,8}}=>[5,6,3,8,7,2,1,4]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0] [7,8,5,6,1,4,2,3]=>{{1,7},{2,8},{3,5},{4,6}}=>[7,8,5,6,3,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] [5,8,3,6,1,7,2,4]=>{{1,5},{2,8},{3},{4,6,7}}=>[5,8,3,6,1,7,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] [2,1,8,6,5,7,3,4]=>{{1,2},{3,8},{4,6,7},{5}}=>[2,1,8,6,5,7,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] [2,7,4,1,6,5,8,3]=>{{1,2,7,8},{3,4},{5,6}}=>[2,7,4,3,6,5,8,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0] [2,4,1,5,8,7,6,3]=>{{1,2,4,5,8},{3},{6,7}}=>[2,4,3,5,8,7,6,1]=>[1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0] [7,5,3,2,6,8,1,4]=>{{1,7},{2,5,6,8},{3},{4}}=>[7,5,3,4,6,8,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] [2,1,5,3,6,8,7,4]=>{{1,2},{3,5,6,8},{4},{7}}=>[2,1,5,4,6,8,7,3]=>[1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0] [4,3,1,5,7,6,8,2]=>{{1,4,5,7,8},{2,3},{6}}=>[4,3,2,5,7,6,8,1]=>[1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0] [3,1,4,5,6,8,7,2]=>{{1,3,4,5,6,8},{2},{7}}=>[3,2,4,5,6,8,7,1]=>[1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0] [4,5,2,6,3,1,8,7]=>{{1,4,6},{2,5},{3},{7,8}}=>[4,5,3,6,2,1,8,7]=>[1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0] [6,5,2,7,4,8,3,1]=>{{1,6,8},{2,5},{3},{4,7}}=>[6,5,3,7,2,8,4,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0] [8,3,7,5,2,1,6,4]=>{{1,8},{2,3,7},{4,5},{6}}=>[8,3,7,5,4,6,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [3,1,6,5,4,2,8,7]=>{{1,3,6},{2},{4,5},{7,8}}=>[3,2,6,5,4,1,8,7]=>[1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0] [2,5,7,3,8,6,4,1]=>{{1,2,5,8},{3,7},{4},{6}}=>[2,5,7,4,8,6,3,1]=>[1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0] [3,6,7,4,1,8,5,2]=>{{1,3,7},{2,6,8},{4},{5}}=>[3,6,7,4,5,8,1,2]=>[1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0] [5,6,3,7,4,8,1,2]=>{{1,5},{2,6,8},{3},{4,7}}=>[5,6,3,7,1,8,4,2]=>[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] [2,1,6,7,4,8,5,3]=>{{1,2},{3,6,8},{4,7},{5}}=>[2,1,6,7,5,8,4,3]=>[1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0] [7,8,1,3,5,2,6,4]=>{{1,7},{2,8},{3},{4},{5},{6}}=>[7,8,3,4,5,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] [2,8,4,1,6,3,7,5]=>{{1,2,8},{3,4},{5,6},{7}}=>[2,8,4,3,6,5,7,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] [3,8,4,2,5,7,1,6]=>{{1,3,4},{2,8},{5},{6,7}}=>[3,8,4,1,5,7,6,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] [6,8,3,5,2,7,4,1]=>{{1,6,7},{2,8},{3},{4,5}}=>[6,8,3,5,4,7,1,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] [2,1,5,3,8,7,6,4]=>{{1,2},{3,5,8},{4},{6,7}}=>[2,1,5,4,8,7,6,3]=>[1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0] [6,5,3,2,8,7,1,4]=>{{1,6,7},{2,5,8},{3},{4}}=>[6,5,3,4,8,7,1,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] [3,4,2,8,5,7,6,1]=>{{1,3},{2,4,8},{5},{6,7}}=>[3,4,1,8,5,7,6,2]=>[1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0] [2,4,1,8,7,6,5,3]=>{{1,2,4,8},{3},{5,7},{6}}=>[2,4,3,8,7,6,5,1]=>[1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0] [8,4,2,1,7,5,3,6]=>{{1,8},{2,4},{3},{5,7},{6}}=>[8,4,3,2,7,6,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [4,3,1,8,6,7,5,2]=>{{1,4,8},{2,3},{5,6,7}}=>[4,3,2,8,6,7,5,1]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0] [3,7,5,6,8,4,2,1]=>{{1,3,5,8},{2,7},{4,6}}=>[3,7,5,6,8,4,2,1]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0] [5,7,1,6,8,2,4,3]=>{{1,5,8},{2,7},{3},{4,6}}=>[5,7,3,6,8,4,2,1]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0] [8,6,2,5,1,7,4,3]=>{{1,8},{2,6,7},{3},{4,5}}=>[8,6,3,5,4,7,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [5,6,2,1,8,7,3,4]=>{{1,5,8},{2,6,7},{3},{4}}=>[5,6,3,4,8,7,2,1]=>[1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0] [4,6,2,5,8,3,7,1]=>{{1,4,5,8},{2,6},{3},{7}}=>[4,6,3,5,8,2,7,1]=>[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0] [7,5,2,6,3,8,1,4]=>{{1,7},{2,5},{3},{4,6,8}}=>[7,5,3,6,2,8,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] [7,5,2,8,3,4,6,1]=>{{1,7},{2,5},{3},{4,8},{6}}=>[7,5,3,8,2,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] [5,6,2,8,4,3,1,7]=>{{1,5},{2,6},{3},{4,8},{7}}=>[5,6,3,8,1,2,7,4]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0] [3,6,8,7,1,5,4,2]=>{{1,3,8},{2,6},{4,7},{5}}=>[3,6,8,7,5,2,4,1]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0] [5,7,8,6,3,4,1,2]=>{{1,5},{2,7},{3,8},{4,6}}=>[5,7,8,6,1,4,2,3]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0] [3,4,8,1,7,2,5,6]=>{{1,3,8},{2,4},{5,7},{6}}=>[3,4,8,2,7,6,5,1]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0] [8,4,1,3,7,2,6,5]=>{{1,8},{2,4},{3},{5,7},{6}}=>[8,4,3,2,7,6,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [2,3,8,1,4,6,7,5]=>{{1,2,3,8},{4},{5},{6},{7}}=>[2,3,8,4,5,6,7,1]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0] [6,3,8,4,2,5,7,1]=>{{1,6},{2,3,8},{4},{5},{7}}=>[6,3,8,4,5,1,7,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] [6,8,2,4,3,5,1,7]=>{{1,6},{2,8},{3},{4},{5},{7}}=>[6,8,3,4,5,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] [4,8,2,3,5,1,6,7]=>{{1,4},{2,8},{3},{5},{6},{7}}=>[4,8,3,1,5,6,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] [3,8,2,1,4,6,5,7]=>{{1,3},{2,8},{4},{5},{6},{7}}=>[3,8,1,4,5,6,7,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] [2,8,1,3,4,5,7,6]=>{{1,2,8},{3},{4},{5},{6},{7}}=>[2,8,3,4,5,6,7,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] [2,8,4,1,6,5,3,7]=>{{1,2,8},{3,4},{5,6},{7}}=>[2,8,4,3,6,5,7,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] [2,8,4,1,6,5,7,3]=>{{1,2,8},{3,4},{5,6},{7}}=>[2,8,4,3,6,5,7,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] [2,8,7,6,1,4,3,5]=>{{1,2,8},{3,7},{4,6},{5}}=>[2,8,7,6,5,4,3,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,5,8,6,1,4,2,3]=>{{1,7},{2,5},{3,8},{4,6}}=>[7,5,8,6,2,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] [3,5,7,6,1,4,2,8]=>{{1,3,7},{2,5},{4,6},{8}}=>[3,5,7,6,2,4,1,8]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0] [2,8,5,3,4,7,6,1]=>{{1,2,8},{3,5},{4},{6,7}}=>[2,8,5,4,3,7,6,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] [2,8,7,6,1,4,5,3]=>{{1,2,8},{3,7},{4,6},{5}}=>[2,8,7,6,5,4,3,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] [2,8,5,3,4,7,1,6]=>{{1,2,8},{3,5},{4},{6,7}}=>[2,8,5,4,3,7,6,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,5,8,6,1,4,3,2]=>{{1,7},{2,5},{3,8},{4,6}}=>[7,5,8,6,2,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] [3,5,6,2,1,8,7,4]=>{{1,3,6,8},{2,5},{4},{7}}=>[3,5,6,4,2,8,7,1]=>[1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0] [3,5,7,2,4,1,8,6]=>{{1,3,7,8},{2,5},{4},{6}}=>[3,5,7,4,2,6,8,1]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0] [3,5,7,2,4,6,8,1]=>{{1,3,7,8},{2,5},{4},{6}}=>[3,5,7,4,2,6,8,1]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0] [6,5,2,8,3,7,4,1]=>{{1,6,7},{2,5},{3},{4,8}}=>[6,5,3,8,2,7,1,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] [4,1,2,3,8,7,5,6]=>{{1,4},{2},{3},{5,8},{6,7}}=>[4,2,3,1,8,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] [4,1,2,3,8,6,5,7]=>{{1,4},{2},{3},{5,8},{6},{7}}=>[4,2,3,1,8,6,7,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] [4,1,2,3,8,6,7,5]=>{{1,4},{2},{3},{5,8},{6},{7}}=>[4,2,3,1,8,6,7,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] [4,1,2,3,8,5,7,6]=>{{1,4},{2},{3},{5,8},{6},{7}}=>[4,2,3,1,8,6,7,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] [7,5,2,8,3,4,1,6]=>{{1,7},{2,5},{3},{4,8},{6}}=>[7,5,3,8,2,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] [6,5,2,8,3,7,1,4]=>{{1,6,7},{2,5},{3},{4,8}}=>[6,5,3,8,2,7,1,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] [5,7,8,6,3,4,2,1]=>{{1,5},{2,7},{3,8},{4,6}}=>[5,7,8,6,1,4,2,3]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0] [4,1,6,7,8,3,2,5]=>{{1,4,7},{2},{3,6},{5,8}}=>[4,2,6,7,8,3,1,5]=>[1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0] [4,1,6,5,7,3,2,8]=>{{1,4,5,7},{2},{3,6},{8}}=>[4,2,6,5,7,3,1,8]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0] [4,5,2,6,3,7,1,8]=>{{1,4,6,7},{2,5},{3},{8}}=>[4,5,3,6,2,7,1,8]=>[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] [4,5,2,7,3,8,1,6]=>{{1,4,7},{2,5},{3},{6,8}}=>[4,5,3,7,2,8,1,6]=>[1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0] [3,5,6,2,4,8,7,1]=>{{1,3,6,8},{2,5},{4},{7}}=>[3,5,6,4,2,8,7,1]=>[1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0] [3,5,6,2,4,8,1,7]=>{{1,3,6,8},{2,5},{4},{7}}=>[3,5,6,4,2,8,7,1]=>[1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0] [3,7,5,6,8,4,1,2]=>{{1,3,5,8},{2,7},{4,6}}=>[3,7,5,6,8,4,2,1]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0] [3,6,5,2,8,1,7,4]=>{{1,3,5,8},{2,6},{4},{7}}=>[3,6,5,4,8,2,7,1]=>[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0] [7,5,2,6,3,8,4,1]=>{{1,7},{2,5},{3},{4,6,8}}=>[7,5,3,6,2,8,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] [4,1,2,3,5,8,7,6]=>{{1,4},{2},{3},{5},{6,8},{7}}=>[4,2,3,1,5,8,7,6]=>[1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0] [4,5,2,7,3,8,6,1]=>{{1,4,7},{2,5},{3},{6,8}}=>[4,5,3,7,2,8,1,6]=>[1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0] [4,1,6,7,8,3,5,2]=>{{1,4,7},{2},{3,6},{5,8}}=>[4,2,6,7,8,3,1,5]=>[1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0] [4,1,2,5,6,8,7,3]=>{{1,4,5,6,8},{2},{3},{7}}=>[4,2,3,5,6,8,7,1]=>[1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0] [7,8,5,6,1,4,3,2]=>{{1,7},{2,8},{3,5},{4,6}}=>[7,8,5,6,3,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] [7,8,4,2,1,5,3,6]=>{{1,7},{2,8},{3,4},{5},{6}}=>[7,8,4,3,5,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] [7,8,2,1,6,5,3,4]=>{{1,7},{2,8},{3},{4},{5,6}}=>[7,8,3,4,6,5,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] [2,4,8,1,5,7,3,6]=>{{1,2,4},{3,8},{5},{6,7}}=>[2,4,8,1,5,7,6,3]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0] [4,3,8,1,7,2,5,6]=>{{1,4},{2,3,8},{5,7},{6}}=>[4,3,8,1,7,6,5,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] [7,8,3,4,5,1,6,2]=>{{1,7},{2,8},{3},{4},{5},{6}}=>[7,8,3,4,5,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] [7,8,4,1,2,3,6,5]=>{{1,7},{2,8},{3,4},{5},{6}}=>[7,8,4,3,5,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] [7,8,2,1,5,3,4,6]=>{{1,7},{2,8},{3},{4},{5},{6}}=>[7,8,3,4,5,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] [7,8,2,5,6,4,1,3]=>{{1,7},{2,8},{3},{4,5,6}}=>[7,8,3,5,6,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] [6,2,1,7,5,4,3,8]=>{{1,6},{2},{3},{4,7},{5},{8}}=>[6,2,3,7,5,1,4,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] [5,3,6,2,7,4,1,8]=>{{1,5,7},{2,3,6},{4},{8}}=>[5,3,6,4,7,2,1,8]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0] [6,4,3,7,5,8,1,2]=>{{1,6,8},{2,4,7},{3},{5}}=>[6,4,3,7,5,8,2,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0] [4,3,8,7,5,6,1,2]=>{{1,4,7},{2,3,8},{5},{6}}=>[4,3,8,7,5,6,1,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] [2,1,7,5,6,8,4,3]=>{{1,2},{3,7},{4,5,6,8}}=>[2,1,7,5,6,8,3,4]=>[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0] [3,7,2,8,6,4,1,5]=>{{1,3},{2,7},{4,8},{5,6}}=>[3,7,1,8,6,5,2,4]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0] [3,8,1,7,6,4,5,2]=>{{1,3},{2,8},{4,7},{5,6}}=>[3,8,1,7,6,5,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] [1,8,5,7,3,6,4,2]=>{{1},{2,8},{3,5},{4,7},{6}}=>[1,8,5,7,3,6,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] [2,7,5,8,3,6,1,4]=>{{1,2,7},{3,5},{4,8},{6}}=>[2,7,5,8,3,6,1,4]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0] [4,5,6,7,2,8,1,3]=>{{1,4,7},{2,5},{3,6,8}}=>[4,5,6,7,2,8,1,3]=>[1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0] [1,5,8,6,2,7,3,4]=>{{1},{2,5},{3,8},{4,6,7}}=>[1,5,8,6,2,7,4,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] [1,6,5,8,3,2,7,4]=>{{1},{2,6},{3,5},{4,8},{7}}=>[1,6,5,8,3,2,7,4]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] [4,6,5,7,1,2,8,3]=>{{1,4,7,8},{2,6},{3,5}}=>[4,6,5,7,3,2,8,1]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0] [5,7,6,4,3,8,1,2]=>{{1,5},{2,7},{3,6,8},{4}}=>[5,7,6,4,1,8,2,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0] [6,3,4,5,8,7,1,2]=>{{1,6,7},{2,3,4,5,8}}=>[6,3,4,5,8,7,1,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] [5,1,4,2,7,6,8,3]=>{{1,5,7,8},{2},{3,4},{6}}=>[5,2,4,3,7,6,8,1]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0] [6,7,5,8,1,4,3,2]=>{{1,6},{2,7},{3,5},{4,8}}=>[6,7,5,8,3,1,2,4]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0] [5,8,7,6,3,4,1,2]=>{{1,5},{2,8},{3,7},{4,6}}=>[5,8,7,6,1,4,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] [5,8,7,6,2,3,1,4]=>{{1,5},{2,8},{3,7},{4,6}}=>[5,8,7,6,1,4,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] [4,8,2,1,5,6,3,7]=>{{1,4},{2,8},{3},{5},{6},{7}}=>[4,8,3,1,5,6,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] [2,1,8,7,6,5,3,4]=>{{1,2},{3,8},{4,7},{5,6}}=>[2,1,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] [3,1,4,7,8,2,6,5]=>{{1,3,4,7},{2},{5,8},{6}}=>[3,2,4,7,8,6,1,5]=>[1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0] [4,3,7,5,6,8,1,2]=>{{1,4,5,6,8},{2,3,7}}=>[4,3,7,5,6,8,2,1]=>[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0] [4,8,1,2,5,3,7,6]=>{{1,4},{2,8},{3},{5},{6},{7}}=>[4,8,3,1,5,6,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] [3,8,5,6,1,4,7,2]=>{{1,3,5},{2,8},{4,6},{7}}=>[3,8,5,6,1,4,7,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] [5,3,7,8,2,1,6,4]=>{{1,5},{2,3,7},{4,8},{6}}=>[5,3,7,8,1,6,2,4]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0] [3,6,7,8,5,1,4,2]=>{{1,3,7},{2,6},{4,8},{5}}=>[3,6,7,8,5,2,1,4]=>[1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0] [3,7,6,8,5,2,1,4]=>{{1,3,6},{2,7},{4,8},{5}}=>[3,7,6,8,5,1,2,4]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0] [4,7,8,6,3,5,1,2]=>{{1,4,6},{2,7},{3,8},{5}}=>[4,7,8,6,5,1,2,3]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0] [3,8,7,6,5,4,1,2]=>{{1,3,7},{2,8},{4,6},{5}}=>[3,8,7,6,5,4,1,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] [2,8,7,5,1,4,3,6]=>{{1,2,8},{3,7},{4,5},{6}}=>[2,8,7,5,4,6,3,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] [2,8,6,7,5,1,3,4]=>{{1,2,8},{3,6},{4,7},{5}}=>[2,8,6,7,5,3,4,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] [2,7,8,6,5,4,1,3]=>{{1,2,7},{3,8},{4,6},{5}}=>[2,7,8,6,5,4,1,3]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0] [6,3,1,2,7,4,8,5]=>{{1,6},{2,3},{4},{5,7,8}}=>[6,3,2,4,7,1,8,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0] [6,4,2,7,1,3,8,5]=>{{1,6},{2,4,7,8},{3},{5}}=>[6,4,3,7,5,1,8,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0] [7,4,2,5,1,3,8,6]=>{{1,7,8},{2,4,5},{3},{6}}=>[7,4,3,5,2,6,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] [7,5,3,6,1,8,2,4]=>{{1,7},{2,5},{3},{4,6,8}}=>[7,5,3,6,2,8,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] [8,5,3,6,1,7,2,4]=>{{1,8},{2,5},{3},{4,6,7}}=>[8,5,3,6,2,7,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,3,6,2,4,7,1,5]=>{{1,8},{2,3,6,7},{4},{5}}=>[8,3,6,4,5,7,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [7,3,6,2,4,8,1,5]=>{{1,7},{2,3,6,8},{4},{5}}=>[7,3,6,4,5,8,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] [4,3,7,1,2,5,8,6]=>{{1,4},{2,3,7,8},{5},{6}}=>[4,3,7,1,5,6,8,2]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0] [3,6,2,7,1,4,8,5]=>{{1,3},{2,6},{4,7,8},{5}}=>[3,6,1,7,5,2,8,4]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0] [5,3,6,7,1,2,8,4]=>{{1,5},{2,3,6},{4,7,8}}=>[5,3,6,7,1,2,8,4]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0] [6,3,7,4,1,2,8,5]=>{{1,6},{2,3,7,8},{4},{5}}=>[6,3,7,4,5,1,8,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0] [3,7,5,1,2,4,8,6]=>{{1,3,5},{2,7,8},{4},{6}}=>[3,7,5,4,1,6,8,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0] [7,6,4,2,3,8,1,5]=>{{1,7},{2,6,8},{3,4},{5}}=>[7,6,4,3,5,8,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] [8,6,4,2,3,7,1,5]=>{{1,8},{2,6,7},{3,4},{5}}=>[8,6,4,3,5,7,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [4,7,6,3,8,1,2,5]=>{{1,4},{2,7},{3,6},{5,8}}=>[4,7,6,1,8,3,2,5]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0] [5,7,4,2,3,8,1,6]=>{{1,5},{2,7},{3,4},{6,8}}=>[5,7,4,3,1,8,2,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0] [3,7,6,1,4,8,2,5]=>{{1,3,6,8},{2,7},{4},{5}}=>[3,7,6,4,5,8,2,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0] [5,7,2,6,1,8,3,4]=>{{1,5},{2,7},{3},{4,6,8}}=>[5,7,3,6,1,8,2,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0] [7,4,8,5,2,6,1,3]=>{{1,7},{2,4,5},{3,8},{6}}=>[7,4,8,5,2,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] [5,8,2,6,3,7,1,4]=>{{1,5},{2,8},{3},{4,6,7}}=>[5,8,3,6,1,7,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] [3,8,6,1,2,7,4,5]=>{{1,3,6,7},{2,8},{4},{5}}=>[3,8,6,4,5,7,1,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] [3,8,6,2,4,7,1,5]=>{{1,3,6,7},{2,8},{4},{5}}=>[3,8,6,4,5,7,1,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] [6,8,4,3,7,1,2,5]=>{{1,6},{2,8},{3,4},{5,7}}=>[6,8,4,3,7,1,5,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] [6,8,5,3,7,1,2,4]=>{{1,6},{2,8},{3,5,7},{4}}=>[6,8,5,4,7,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] [3,8,5,7,1,2,4,6]=>{{1,3,5},{2,8},{4,7},{6}}=>[3,8,5,7,1,6,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] [2,8,5,7,1,3,4,6]=>{{1,2,8},{3,5},{4,7},{6}}=>[2,8,5,7,3,6,4,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] [4,8,6,2,7,1,3,5]=>{{1,4},{2,8},{3,6},{5,7}}=>[4,8,6,1,7,3,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] [6,3,7,5,8,1,2,4]=>{{1,6},{2,3,7},{4,5,8}}=>[6,3,7,5,8,1,2,4]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0] [2,7,6,4,8,1,3,5]=>{{1,2,7},{3,6},{4},{5,8}}=>[2,7,6,4,8,3,1,5]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0] [2,6,5,8,1,3,4,7]=>{{1,2,6},{3,5},{4,8},{7}}=>[2,6,5,8,3,1,7,4]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0] [3,6,5,8,1,2,4,7]=>{{1,3,5},{2,6},{4,8},{7}}=>[3,6,5,8,1,2,7,4]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0] [2,5,7,4,8,1,3,6]=>{{1,2,5,8},{3,7},{4},{6}}=>[2,5,7,4,8,6,3,1]=>[1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0] [5,4,6,7,2,8,1,3]=>{{1,5},{2,4,7},{3,6,8}}=>[5,4,6,7,1,8,2,3]=>[1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0] [4,6,3,7,1,8,2,5]=>{{1,4,7},{2,6,8},{3},{5}}=>[4,6,3,7,5,8,1,2]=>[1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0] [3,5,7,1,4,8,2,6]=>{{1,3,7},{2,5},{4},{6,8}}=>[3,5,7,4,2,8,1,6]=>[1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0] [7,4,6,3,8,1,2,5]=>{{1,7},{2,4},{3,6},{5,8}}=>[7,4,6,2,8,3,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] [8,4,6,3,7,1,2,5]=>{{1,8},{2,4},{3,6},{5,7}}=>[8,4,6,2,7,3,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,4,1,6,7,2,3,5]=>{{1,8},{2,4,6},{3},{5,7}}=>[8,4,3,6,7,2,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [7,4,1,6,8,2,3,5]=>{{1,7},{2,4,6},{3},{5,8}}=>[7,4,3,6,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] [5,4,1,7,8,2,3,6]=>{{1,5,8},{2,4,7},{3},{6}}=>[5,4,3,7,8,6,2,1]=>[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0] [6,5,3,7,1,8,2,4]=>{{1,6,8},{2,5},{3},{4,7}}=>[6,5,3,7,2,8,4,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0] [6,5,1,2,7,8,3,4]=>{{1,6,8},{2,5,7},{3},{4}}=>[6,5,3,4,7,8,2,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0] [5,3,6,4,7,8,1,2]=>{{1,5,7},{2,3,6,8},{4}}=>[5,3,6,4,7,8,1,2]=>[1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0] [6,3,7,4,8,5,1,2]=>{{1,6},{2,3,7},{4},{5,8}}=>[6,3,7,4,8,1,2,5]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0] [4,7,1,5,8,6,2,3]=>{{1,4,5,8},{2,7},{3},{6}}=>[4,7,3,5,8,6,2,1]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0] [7,5,3,8,1,6,2,4]=>{{1,7},{2,5},{3},{4,8},{6}}=>[7,5,3,8,2,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] [6,4,7,8,2,5,1,3]=>{{1,6},{2,4,8},{3,7},{5}}=>[6,4,7,8,5,1,3,2]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0] [6,3,7,8,5,1,2,4]=>{{1,6},{2,3,7},{4,8},{5}}=>[6,3,7,8,5,1,2,4]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0] [3,6,8,2,7,1,4,5]=>{{1,3,8},{2,6},{4},{5,7}}=>[3,6,8,4,7,2,5,1]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0] [2,4,8,7,1,3,5,6]=>{{1,2,4,7},{3,8},{5},{6}}=>[2,4,8,7,5,6,1,3]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0] [4,3,8,7,1,2,5,6]=>{{1,4,7},{2,3,8},{5},{6}}=>[4,3,8,7,5,6,1,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] [5,3,8,7,1,2,4,6]=>{{1,5},{2,3,8},{4,7},{6}}=>[5,3,8,7,1,6,4,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0] [8,3,7,6,1,2,4,5]=>{{1,8},{2,3,7},{4,6},{5}}=>[8,3,7,6,5,4,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,4,7,6,1,2,3,5]=>{{1,8},{2,4,6},{3,7},{5}}=>[8,4,7,6,5,2,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [5,4,8,7,1,2,3,6]=>{{1,5},{2,4,7},{3,8},{6}}=>[5,4,8,7,1,6,2,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0] [3,5,8,7,1,2,4,6]=>{{1,3,8},{2,5},{4,7},{6}}=>[3,5,8,7,2,6,4,1]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0] [2,5,8,7,1,3,4,6]=>{{1,2,5},{3,8},{4,7},{6}}=>[2,5,8,7,1,6,4,3]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0] [4,6,8,2,7,1,3,5]=>{{1,4},{2,6},{3,8},{5,7}}=>[4,6,8,1,7,2,5,3]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] [4,7,1,8,6,2,3,5]=>{{1,4,8},{2,7},{3},{5,6}}=>[4,7,3,8,6,5,2,1]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0] [7,5,8,6,4,1,2,3]=>{{1,7},{2,5},{3,8},{4,6}}=>[7,5,8,6,2,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] [6,8,4,7,5,1,2,3]=>{{1,6},{2,8},{3,4,7},{5}}=>[6,8,4,7,5,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] [5,8,7,1,6,2,3,4]=>{{1,5,6},{2,8},{3,7},{4}}=>[5,8,7,4,6,1,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] [2,8,7,6,1,3,4,5]=>{{1,2,8},{3,7},{4,6},{5}}=>[2,8,7,6,5,4,3,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] [3,8,7,6,1,2,4,5]=>{{1,3,7},{2,8},{4,6},{5}}=>[3,8,7,6,5,4,1,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] [4,8,7,6,1,2,3,5]=>{{1,4,6},{2,8},{3,7},{5}}=>[4,8,7,6,5,1,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] [7,5,3,8,2,1,6,4]=>{{1,7},{2,5},{3},{4,8},{6}}=>[7,5,3,8,2,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] [6,4,3,8,1,5,7,2]=>{{1,6},{2,4,8},{3},{5},{7}}=>[6,4,3,8,5,1,7,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] [2,3,4,5,6,7,8,1,9]=>{{1,2,3,4,5,6,7,8},{9}}=>[2,3,4,5,6,7,8,1,9]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] [2,3,4,5,6,7,8,9,10,1]=>{{1,2,3,4,5,6,7,8,9,10}}=>[2,3,4,5,6,7,8,9,10,1]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [2,3,4,5,6,7,8,9,1,10]=>{{1,2,3,4,5,6,7,8,9},{10}}=>[2,3,4,5,6,7,8,9,1,10]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] [2,3,4,5,6,7,1,8,9]=>{{1,2,3,4,5,6,7},{8},{9}}=>[2,3,4,5,6,7,1,8,9]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] [3,4,5,6,7,8,9,10,1,2]=>{{1,3,5,7,9},{2,4,6,8,10}}=>[3,4,5,6,7,8,9,10,1,2]=>[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] [3,6,4,5,7,2,8,1]=>{{1,3,4,5,7,8},{2,6}}=>[3,6,4,5,7,2,8,1]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0] [5,3,2,7,4,6,8,1]=>{{1,5},{2,3},{4,7,8},{6}}=>[5,3,2,7,1,6,8,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0] [7,5,3,6,2,4,8,1]=>{{1,7,8},{2,5},{3},{4,6}}=>[7,5,3,6,2,4,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] [6,3,2,5,1,8,4,7]=>{{1,6,8},{2,3},{4,5},{7}}=>[6,3,2,5,4,8,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0] [8,5,3,6,2,7,1,4]=>{{1,8},{2,5},{3},{4,6,7}}=>[8,5,3,6,2,7,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [3,6,2,7,4,5,8,1]=>{{1,3},{2,6},{4,7,8},{5}}=>[3,6,1,7,5,2,8,4]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0] [4,2,5,7,3,6,8,1]=>{{1,4,7,8},{2},{3,5},{6}}=>[4,2,5,7,3,6,8,1]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0] [3,7,6,2,4,5,8,1]=>{{1,3,6},{2,7,8},{4},{5}}=>[3,7,6,4,5,1,8,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0] [2,7,6,3,4,5,8,1]=>{{1,2,7,8},{3,6},{4},{5}}=>[2,7,6,4,5,3,8,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0] [8,6,5,2,3,7,1,4]=>{{1,8},{2,6,7},{3,5},{4}}=>[8,6,5,4,3,7,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,5,2,1,7,3,4,6]=>{{1,8},{2,5,7},{3},{4},{6}}=>[8,5,3,4,7,6,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [4,2,6,5,1,8,3,7]=>{{1,4,5},{2},{3,6,8},{7}}=>[4,2,6,5,1,8,7,3]=>[1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0] [6,8,3,5,2,7,1,4]=>{{1,6,7},{2,8},{3},{4,5}}=>[6,8,3,5,4,7,1,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] [3,8,6,1,7,2,4,5]=>{{1,3,6},{2,8},{4},{5,7}}=>[3,8,6,4,7,1,5,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] [4,8,1,5,7,2,3,6]=>{{1,4,5,7},{2,8},{3},{6}}=>[4,8,3,5,7,6,1,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] [4,1,7,5,8,2,3,6]=>{{1,4,5,8},{2},{3,7},{6}}=>[4,2,7,5,8,6,3,1]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0] [4,2,5,7,1,8,3,6]=>{{1,4,7},{2},{3,5},{6,8}}=>[4,2,5,7,3,8,1,6]=>[1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0] [6,3,7,1,2,8,4,5]=>{{1,6,8},{2,3,7},{4},{5}}=>[6,3,7,4,5,8,2,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0] [7,3,1,5,8,2,4,6]=>{{1,7},{2,3},{4,5,8},{6}}=>[7,3,2,5,8,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] [5,4,1,3,6,8,2,7]=>{{1,5,6,8},{2,4},{3},{7}}=>[5,4,3,2,6,8,7,1]=>[1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0] [4,3,5,1,6,8,2,7]=>{{1,4},{2,3,5,6,8},{7}}=>[4,3,5,1,6,8,7,2]=>[1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0] [6,5,3,4,8,7,1,2]=>{{1,6,7},{2,5,8},{3},{4}}=>[6,5,3,4,8,7,1,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] [8,5,3,7,6,1,2,4]=>{{1,8},{2,5,6},{3},{4,7}}=>[8,5,3,7,6,2,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [6,1,8,3,7,2,4,5]=>{{1,6},{2},{3,8},{4},{5,7}}=>[6,2,8,4,7,1,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] [6,3,8,1,7,2,4,5]=>{{1,6},{2,3,8},{4},{5,7}}=>[6,3,8,4,7,1,5,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] [5,4,7,8,2,6,1,3]=>{{1,5},{2,4,8},{3,7},{6}}=>[5,4,7,8,1,6,3,2]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0] [4,2,5,8,7,1,3,6]=>{{1,4,8},{2},{3,5,7},{6}}=>[4,2,5,8,7,6,3,1]=>[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0] [3,6,2,8,7,1,4,5]=>{{1,3},{2,6},{4,8},{5,7}}=>[3,6,1,8,7,2,5,4]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0] [4,1,5,8,7,2,3,6]=>{{1,4,8},{2},{3,5,7},{6}}=>[4,2,5,8,7,6,3,1]=>[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0] [5,4,8,7,6,1,2,3]=>{{1,5,6},{2,4,7},{3,8}}=>[5,4,8,7,6,1,2,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0] [7,4,8,3,2,6,5,1]=>{{1,7},{2,4},{3,8},{5},{6}}=>[7,4,8,2,5,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] [7,4,8,3,2,5,6,1]=>{{1,7},{2,4},{3,8},{5},{6}}=>[7,4,8,2,5,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] [6,4,3,8,2,5,7,1]=>{{1,6},{2,4,8},{3},{5},{7}}=>[6,4,3,8,5,1,7,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] [7,5,1,3,6,2,8,4]=>{{1,7,8},{2,5,6},{3},{4}}=>[7,5,3,4,6,2,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] [7,5,1,4,6,8,2,3]=>{{1,7},{2,5,6,8},{3},{4}}=>[7,5,3,4,6,8,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] [7,4,8,3,2,6,1,5]=>{{1,7},{2,4},{3,8},{5},{6}}=>[7,4,8,2,5,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] [7,4,8,3,2,5,1,6]=>{{1,7},{2,4},{3,8},{5},{6}}=>[7,4,8,2,5,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] [6,4,3,8,2,5,1,7]=>{{1,6},{2,4,8},{3},{5},{7}}=>[6,4,3,8,5,1,7,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] [6,4,3,7,2,5,8,1]=>{{1,6},{2,4,7,8},{3},{5}}=>[6,4,3,7,5,1,8,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0] [5,4,3,2,8,7,1,6]=>{{1,5,8},{2,4},{3},{6,7}}=>[5,4,3,2,8,7,6,1]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0] [6,5,3,8,7,2,1,4]=>{{1,6},{2,5,7},{3},{4,8}}=>[6,5,3,8,7,1,2,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] [6,5,4,8,7,1,2,3]=>{{1,6},{2,5,7},{3,4,8}}=>[6,5,4,8,7,1,2,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] [6,5,4,1,7,8,2,3]=>{{1,6,8},{2,5,7},{3,4}}=>[6,5,4,3,7,8,2,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0] [5,4,3,2,1,8,6,7]=>{{1,5},{2,4},{3},{6,8},{7}}=>[5,4,3,2,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] [6,5,4,1,8,7,2,3]=>{{1,6,7},{2,5,8},{3,4}}=>[6,5,4,3,8,7,1,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] [6,4,3,8,2,7,5,1]=>{{1,6,7},{2,4,8},{3},{5}}=>[6,4,3,8,5,7,1,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] [6,5,3,8,7,2,4,1]=>{{1,6},{2,5,7},{3},{4,8}}=>[6,5,3,8,7,1,2,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] [6,4,3,7,2,8,5,1]=>{{1,6,8},{2,4,7},{3},{5}}=>[6,4,3,7,5,8,2,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0] [7,4,8,3,2,1,5,6]=>{{1,7},{2,4},{3,8},{5},{6}}=>[7,4,8,2,5,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] [7,4,8,3,2,1,6,5]=>{{1,7},{2,4},{3,8},{5},{6}}=>[7,4,8,2,5,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] [6,4,3,7,2,1,8,5]=>{{1,6},{2,4,7,8},{3},{5}}=>[6,4,3,7,5,1,8,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0] [6,4,3,7,2,8,1,5]=>{{1,6,8},{2,4,7},{3},{5}}=>[6,4,3,7,5,8,2,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0] [5,4,3,2,7,8,1,6]=>{{1,5,7},{2,4},{3},{6,8}}=>[5,4,3,2,7,8,1,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0] [5,4,3,2,6,8,1,7]=>{{1,5,6,8},{2,4},{3},{7}}=>[5,4,3,2,6,8,7,1]=>[1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0] [5,3,7,8,2,1,4,6]=>{{1,5},{2,3,7},{4,8},{6}}=>[5,3,7,8,1,6,2,4]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0] [7,8,1,2,5,4,6,3]=>{{1,7},{2,8},{3},{4},{5},{6}}=>[7,8,3,4,5,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] [6,1,8,3,2,4,5,7]=>{{1,6},{2},{3,8},{4},{5},{7}}=>[6,2,8,4,5,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] [8,4,1,3,7,6,2,5]=>{{1,8},{2,4},{3},{5,7},{6}}=>[8,4,3,2,7,6,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [7,5,1,6,8,3,4,2]=>{{1,7},{2,5,8},{3},{4,6}}=>[7,5,3,6,8,4,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] [6,5,2,1,8,7,4,3]=>{{1,6,7},{2,5,8},{3},{4}}=>[6,5,3,4,8,7,1,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] [7,3,8,6,1,2,5,4]=>{{1,7},{2,3,8},{4,6},{5}}=>[7,3,8,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] [3,4,7,1,8,2,6,5]=>{{1,3,7},{2,4},{5,8},{6}}=>[3,4,7,2,8,6,1,5]=>[1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0] [1,8,2,4,3,5,6,7]=>{{1},{2,8},{3},{4},{5},{6},{7}}=>[1,8,3,4,5,6,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,6,2,8,3,5,4,7]=>{{1},{2,6},{3},{4,8},{5},{7}}=>[1,6,3,8,5,2,7,4]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] [1,4,2,8,3,6,5,7]=>{{1},{2,4,8},{3},{5},{6},{7}}=>[1,4,3,8,5,6,7,2]=>[1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] [1,2,3,8,4,6,5,7]=>{{1},{2},{3},{4,8},{5},{6},{7}}=>[1,2,3,8,5,6,7,4]=>[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] [1,5,2,7,3,6,4,8]=>{{1},{2,5},{3},{4,7},{6},{8}}=>[1,5,3,7,2,6,4,8]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0] [1,8,2,4,3,6,5,7]=>{{1},{2,8},{3},{4},{5},{6},{7}}=>[1,8,3,4,5,6,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,8,2,3,4,6,5,7]=>{{1},{2,8},{3},{4},{5},{6},{7}}=>[1,8,3,4,5,6,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,5,2,4,3,8,6,7]=>{{1},{2,5},{3},{4},{6,8},{7}}=>[1,5,3,4,2,8,7,6]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] [1,6,2,5,3,8,4,7]=>{{1},{2,6,8},{3},{4,5},{7}}=>[1,6,3,5,4,8,7,2]=>[1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] [1,4,2,8,3,7,5,6]=>{{1},{2,4,8},{3},{5},{6,7}}=>[1,4,3,8,5,7,6,2]=>[1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] [1,5,2,8,3,7,4,6]=>{{1},{2,5},{3},{4,8},{6,7}}=>[1,5,3,8,2,7,6,4]=>[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0] [4,6,3,7,2,5,1,8]=>{{1,4,7},{2,6},{3},{5},{8}}=>[4,6,3,7,5,2,1,8]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0] [4,6,3,7,5,2,1,8]=>{{1,4,7},{2,6},{3},{5},{8}}=>[4,6,3,7,5,2,1,8]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0] [4,6,2,7,5,3,1,8]=>{{1,4,7},{2,6},{3},{5},{8}}=>[4,6,3,7,5,2,1,8]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0] [5,6,7,2,4,3,1,8]=>{{1,5},{2,6},{3,7},{4},{8}}=>[5,6,7,4,1,2,3,8]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] [7,4,8,2,5,6,3,1]=>{{1,7},{2,4},{3,8},{5},{6}}=>[7,4,8,2,5,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] [7,4,8,5,2,1,3,6]=>{{1,7},{2,4,5},{3,8},{6}}=>[7,4,8,5,2,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] [6,4,8,5,1,3,7,2]=>{{1,6},{2,4,5},{3,8},{7}}=>[6,4,8,5,2,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] [4,3,7,1,5,6,8,2]=>{{1,4},{2,3,7,8},{5},{6}}=>[4,3,7,1,5,6,8,2]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0] [3,6,1,7,5,2,8,4]=>{{1,3},{2,6},{4,7,8},{5}}=>[3,6,1,7,5,2,8,4]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0] [3,4,1,2,7,6,8,5]=>{{1,3},{2,4},{5,7,8},{6}}=>[3,4,1,2,7,6,8,5]=>[1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0] [3,4,2,1,7,5,8,6]=>{{1,3},{2,4},{5,7,8},{6}}=>[3,4,1,2,7,6,8,5]=>[1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0] [3,5,2,6,4,8,7,1]=>{{1,3},{2,5},{4,6,8},{7}}=>[3,5,1,6,2,8,7,4]=>[1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0] [5,3,1,8,6,4,7,2]=>{{1,5,6},{2,3},{4,8},{7}}=>[5,3,2,8,6,1,7,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] [5,6,1,8,7,2,4,3]=>{{1,5,7},{2,6},{3},{4,8}}=>[5,6,3,8,7,2,1,4]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0] [6,2,5,8,3,7,1,4]=>{{1,6,7},{2},{3,5},{4,8}}=>[6,2,5,8,3,7,1,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] [1,5,2,7,4,6,3,8]=>{{1},{2,5},{3},{4,7},{6},{8}}=>[1,5,3,7,2,6,4,8]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0] [2,3,4,8,6,1,7,5]=>{{1,2,3,4,8},{5,6},{7}}=>[2,3,4,8,6,5,7,1]=>[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0] [2,3,4,8,6,5,1,7]=>{{1,2,3,4,8},{5,6},{7}}=>[2,3,4,8,6,5,7,1]=>[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0] [2,7,3,5,8,6,1,4]=>{{1,2,7},{3},{4,5,8},{6}}=>[2,7,3,5,8,6,1,4]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0] [3,2,4,7,8,6,1,5]=>{{1,3,4,7},{2},{5,8},{6}}=>[3,2,4,7,8,6,1,5]=>[1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0] [1,5,4,6,2,7,3,8]=>{{1},{2,5},{3,4,6,7},{8}}=>[1,5,4,6,2,7,3,8]=>[1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] [5,2,4,7,1,8,3,6]=>{{1,5},{2},{3,4,7},{6,8}}=>[5,2,4,7,1,8,3,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0] [5,3,6,4,1,8,7,2]=>{{1,5},{2,3,6,8},{4},{7}}=>[5,3,6,4,1,8,7,2]=>[1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0] [5,3,6,1,4,8,2,7]=>{{1,5},{2,3,6,8},{4},{7}}=>[5,3,6,4,1,8,7,2]=>[1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0] [7,3,5,6,8,4,2,1]=>{{1,7},{2,3,5,8},{4,6}}=>[7,3,5,6,8,4,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] [6,3,5,1,8,2,7,4]=>{{1,6},{2,3,5,8},{4},{7}}=>[6,3,5,4,8,1,7,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] [2,6,1,5,8,4,7,3]=>{{1,2,6},{3},{4,5,8},{7}}=>[2,6,3,5,8,1,7,4]=>[1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0] [5,7,1,6,3,8,4,2]=>{{1,5},{2,7},{3},{4,6,8}}=>[5,7,3,6,1,8,2,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0] [3,2,4,1,7,8,5,6]=>{{1,3,4},{2},{5,7},{6,8}}=>[3,2,4,1,7,8,5,6]=>[1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,0] [3,1,4,2,7,8,6,5]=>{{1,3,4},{2},{5,7},{6,8}}=>[3,2,4,1,7,8,5,6]=>[1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,0] [5,1,4,7,2,8,6,3]=>{{1,5},{2},{3,4,7},{6,8}}=>[5,2,4,7,1,8,3,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0] [6,3,4,5,7,1,8,2]=>{{1,6},{2,3,4,5,7,8}}=>[6,3,4,5,7,1,8,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0] [2,5,4,6,1,7,8,3]=>{{1,2,5},{3,4,6,7,8}}=>[2,5,4,6,1,7,8,3]=>[1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0] [7,2,1,4,3,6,5,8]=>{{1,7},{2},{3},{4},{5},{6},{8}}=>[7,2,3,4,5,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] [1,8,3,2,5,4,7,6]=>{{1},{2,8},{3},{4},{5},{6},{7}}=>[1,8,3,4,5,6,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,3,5,1,6,2,4,8]=>{{1,7},{2,3,5,6},{4},{8}}=>[7,3,5,4,6,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] [7,2,1,5,6,3,4,8]=>{{1,7},{2},{3},{4,5,6},{8}}=>[7,2,3,5,6,4,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] [7,2,1,6,5,4,3,8]=>{{1,7},{2},{3},{4,6},{5},{8}}=>[7,2,3,6,5,4,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] [6,3,7,1,5,4,8,2]=>{{1,6},{2,3,7,8},{4},{5}}=>[6,3,7,4,5,1,8,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0] [2,3,8,1,5,4,7,6]=>{{1,2,3,8},{4},{5},{6},{7}}=>[2,3,8,4,5,6,7,1]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0] [2,4,8,5,1,3,7,6]=>{{1,2,4,5},{3,8},{6},{7}}=>[2,4,8,5,1,6,7,3]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0] [2,6,8,4,3,7,1,5]=>{{1,2,6,7},{3,8},{4},{5}}=>[2,6,8,4,5,7,1,3]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0] [1,8,7,5,6,3,4,2]=>{{1},{2,8},{3,7},{4,5,6}}=>[1,8,7,5,6,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] [2,5,8,6,7,1,3,4]=>{{1,2,5,7},{3,8},{4,6}}=>[2,5,8,6,7,4,1,3]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0] [2,4,8,6,1,7,3,5]=>{{1,2,4,6,7},{3,8},{5}}=>[2,4,8,6,5,7,1,3]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0] [3,2,1,8,6,7,4,5]=>{{1,3},{2},{4,8},{5,6,7}}=>[3,2,1,8,6,7,5,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] [5,3,7,1,6,8,4,2]=>{{1,5,6,8},{2,3,7},{4}}=>[5,3,7,4,6,8,2,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0] [5,4,7,6,1,8,3,2]=>{{1,5},{2,4,6,8},{3,7}}=>[5,4,7,6,1,8,3,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0] [4,5,7,6,8,1,3,2]=>{{1,4,6},{2,5,8},{3,7}}=>[4,5,7,6,8,1,3,2]=>[1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0] [4,6,7,5,8,3,1,2]=>{{1,4,5,8},{2,6},{3,7}}=>[4,6,7,5,8,2,3,1]=>[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0] [1,8,6,5,7,3,2,4]=>{{1},{2,8},{3,6},{4,5,7}}=>[1,8,6,5,7,3,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,8,5,6,7,2,3,4]=>{{1},{2,8},{3,5,7},{4,6}}=>[1,8,5,6,7,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] [4,6,5,7,8,2,1,3]=>{{1,4,7},{2,6},{3,5,8}}=>[4,6,5,7,8,2,1,3]=>[1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0] [5,4,6,7,1,8,2,3]=>{{1,5},{2,4,7},{3,6,8}}=>[5,4,6,7,1,8,2,3]=>[1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0] [5,3,6,1,7,8,2,4]=>{{1,5,7},{2,3,6,8},{4}}=>[5,3,6,4,7,8,1,2]=>[1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0] [6,3,5,1,7,2,8,4]=>{{1,6},{2,3,5,7,8},{4}}=>[6,3,5,4,7,1,8,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0] [6,4,5,7,1,2,8,3]=>{{1,6},{2,4,7,8},{3,5}}=>[6,4,5,7,3,1,8,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0] [6,5,4,7,2,1,8,3]=>{{1,6},{2,5},{3,4,7,8}}=>[6,5,4,7,2,1,8,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0] [5,6,4,7,2,8,1,3]=>{{1,5},{2,6,8},{3,4,7}}=>[5,6,4,7,1,8,3,2]=>[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] [1,8,4,6,2,7,3,5]=>{{1},{2,8},{3,4,6,7},{5}}=>[1,8,4,6,5,7,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,8,3,2,6,7,4,5]=>{{1},{2,8},{3},{4},{5,6,7}}=>[1,8,3,4,6,7,5,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] [5,7,3,2,6,8,4,1]=>{{1,5,6,8},{2,7},{3},{4}}=>[5,7,3,4,6,8,2,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0] [5,6,3,2,7,8,1,4]=>{{1,5,7},{2,6,8},{3},{4}}=>[5,6,3,4,7,8,1,2]=>[1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0] [6,2,1,4,3,7,8,5]=>{{1,6,7,8},{2},{3},{4},{5}}=>[6,2,3,4,5,7,8,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0] [5,3,4,1,2,8,7,6]=>{{1,5},{2,3,4},{6,8},{7}}=>[5,3,4,2,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] [3,7,4,8,2,6,5,1]=>{{1,3,4,8},{2,7},{5},{6}}=>[3,7,4,8,5,6,2,1]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0] [3,6,4,8,2,7,1,5]=>{{1,3,4,8},{2,6,7},{5}}=>[3,6,4,8,5,7,2,1]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0] [3,5,4,8,2,1,7,6]=>{{1,3,4,8},{2,5},{6},{7}}=>[3,5,4,8,2,6,7,1]=>[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0] [3,4,5,8,1,2,7,6]=>{{1,3,5},{2,4,8},{6},{7}}=>[3,4,5,8,1,6,7,2]=>[1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0] [4,3,5,1,8,2,7,6]=>{{1,4},{2,3,5,8},{6},{7}}=>[4,3,5,1,8,6,7,2]=>[1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0] [4,2,1,6,8,7,3,5]=>{{1,4,6,7},{2},{3},{5,8}}=>[4,2,3,6,8,7,1,5]=>[1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0] [4,3,6,1,8,7,2,5]=>{{1,4},{2,3,6,7},{5,8}}=>[4,3,6,1,8,7,2,5]=>[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0] [3,4,6,8,1,7,2,5]=>{{1,3,6,7},{2,4,8},{5}}=>[3,4,6,8,5,7,1,2]=>[1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0] [3,5,6,8,7,1,2,4]=>{{1,3,6},{2,5,7},{4,8}}=>[3,5,6,8,7,1,2,4]=>[1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0] [3,6,5,8,7,2,1,4]=>{{1,3,5,7},{2,6},{4,8}}=>[3,6,5,8,7,2,1,4]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0] [3,6,7,8,5,4,1,2]=>{{1,3,7},{2,6},{4,8},{5}}=>[3,6,7,8,5,2,1,4]=>[1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0] [3,4,7,8,1,6,5,2]=>{{1,3,7},{2,4,8},{5},{6}}=>[3,4,7,8,5,6,1,2]=>[1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0] [2,4,8,7,1,6,5,3]=>{{1,2,4,7},{3,8},{5},{6}}=>[2,4,8,7,5,6,1,3]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0] [2,5,8,7,6,1,4,3]=>{{1,2,5,6},{3,8},{4,7}}=>[2,5,8,7,6,1,4,3]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0] [2,6,8,7,5,4,1,3]=>{{1,2,6},{3,8},{4,7},{5}}=>[2,6,8,7,5,1,4,3]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0] [7,4,6,1,8,3,5,2]=>{{1,7},{2,4},{3,6},{5,8}}=>[7,4,6,2,8,3,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] [8,3,5,1,7,4,6,2]=>{{1,8},{2,3,5,7},{4},{6}}=>[8,3,5,4,7,6,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [4,6,2,1,7,5,8,3]=>{{1,4},{2,6},{3},{5,7,8}}=>[4,6,3,1,7,2,8,5]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0] [1,4,6,2,7,5,8,3]=>{{1},{2,4},{3,6},{5,7,8}}=>[1,4,6,2,7,3,8,5]=>[1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0] [1,7,5,2,6,8,4,3]=>{{1},{2,7},{3,5,6,8},{4}}=>[1,7,5,4,6,8,2,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0] [7,5,2,1,6,8,4,3]=>{{1,7},{2,5,6,8},{3},{4}}=>[7,5,3,4,6,8,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] [6,8,4,3,1,7,5,2]=>{{1,6,7},{2,8},{3,4},{5}}=>[6,8,4,3,5,7,1,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] [3,6,8,4,1,7,5,2]=>{{1,3,8},{2,6,7},{4},{5}}=>[3,6,8,4,5,7,2,1]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0] [3,6,7,5,1,8,4,2]=>{{1,3,7},{2,6,8},{4,5}}=>[3,6,7,5,4,8,1,2]=>[1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0] [7,5,6,1,8,3,4,2]=>{{1,7},{2,5,8},{3,6},{4}}=>[7,5,6,4,8,3,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] [3,4,6,5,7,1,8,2]=>{{1,3,6},{2,4,5,7,8}}=>[3,4,6,5,7,1,8,2]=>[1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0] [6,7,5,1,8,4,3,2]=>{{1,6},{2,7},{3,5,8},{4}}=>[6,7,5,4,8,1,2,3]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0] [6,8,4,1,7,5,3,2]=>{{1,6},{2,8},{3,4},{5,7}}=>[6,8,4,3,7,1,5,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] [6,7,5,3,1,8,4,2]=>{{1,6,8},{2,7},{3,5},{4}}=>[6,7,5,4,3,8,2,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0] [8,4,2,1,6,7,5,3]=>{{1,8},{2,4},{3},{5,6,7}}=>[8,4,3,2,6,7,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,8,4,2,6,7,5,3]=>{{1},{2,8},{3,4},{5,6,7}}=>[1,8,4,3,6,7,5,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] [2,5,3,1,7,6,8,4]=>{{1,2,5,7,8},{3},{4},{6}}=>[2,5,3,4,7,6,8,1]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0] [2,4,6,1,7,5,8,3]=>{{1,2,4},{3,6},{5,7,8}}=>[2,4,6,1,7,3,8,5]=>[1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0] [4,7,1,6,5,8,2,3]=>{{1,4,6,8},{2,7},{3},{5}}=>[4,7,3,6,5,8,2,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0] [4,8,2,6,5,7,1,3]=>{{1,4,6,7},{2,8},{3},{5}}=>[4,8,3,6,5,7,1,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] [4,6,1,2,7,5,8,3]=>{{1,4},{2,6},{3},{5,7,8}}=>[4,6,3,1,7,2,8,5]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0] [7,5,1,2,6,8,4,3]=>{{1,7},{2,5,6,8},{3},{4}}=>[7,5,3,4,6,8,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] [8,4,1,2,6,7,5,3]=>{{1,8},{2,4},{3},{5,6,7}}=>[8,4,3,2,6,7,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,2,5,3,7,6,8,4]=>{{1},{2},{3,5,7,8},{4},{6}}=>[1,2,5,4,7,6,8,3]=>[1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0] [4,3,1,2,7,6,8,5]=>{{1,4},{2,3},{5,7,8},{6}}=>[4,3,2,1,7,6,8,5]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0] [3,5,1,2,7,6,8,4]=>{{1,3},{2,5,7,8},{4},{6}}=>[3,5,1,4,7,6,8,2]=>[1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0] [6,7,1,5,8,2,3,4]=>{{1,6},{2,7},{3},{4,5,8}}=>[6,7,3,5,8,1,2,4]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0] [2,7,6,1,5,8,3,4]=>{{1,2,7},{3,6,8},{4},{5}}=>[2,7,6,4,5,8,1,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0] [2,3,5,1,7,6,8,4]=>{{1,2,3,5,7,8},{4},{6}}=>[2,3,5,4,7,6,8,1]=>[1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0] [7,6,1,5,8,3,2,4]=>{{1,7},{2,6},{3},{4,5,8}}=>[7,6,3,5,8,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] [3,6,7,1,5,8,2,4]=>{{1,3,7},{2,6,8},{4},{5}}=>[3,6,7,4,5,8,1,2]=>[1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0] [7,5,1,6,8,4,2,3]=>{{1,7},{2,5,8},{3},{4,6}}=>[7,5,3,6,8,4,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] [8,4,1,6,7,5,2,3]=>{{1,8},{2,4,6},{3},{5,7}}=>[8,4,3,6,7,2,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [3,5,2,1,7,6,8,4]=>{{1,3},{2,5,7,8},{4},{6}}=>[3,5,1,4,7,6,8,2]=>[1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0] [1,3,5,2,7,6,8,4]=>{{1},{2,3,5,7,8},{4},{6}}=>[1,3,5,4,7,6,8,2]=>[1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0] [8,3,1,5,7,6,2,4]=>{{1,8},{2,3},{4,5,7},{6}}=>[8,3,2,5,7,6,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [6,2,5,1,7,4,8,3]=>{{1,6},{2},{3,5,7,8},{4}}=>[6,2,5,4,7,1,8,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0] [6,1,5,2,7,4,8,3]=>{{1,6},{2},{3,5,7,8},{4}}=>[6,2,5,4,7,1,8,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0] [7,6,2,5,8,3,1,4]=>{{1,7},{2,6},{3},{4,5,8}}=>[7,6,3,5,8,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] [7,5,2,6,8,4,1,3]=>{{1,7},{2,5,8},{3},{4,6}}=>[7,5,3,6,8,4,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] [8,4,2,6,7,5,1,3]=>{{1,8},{2,4,6},{3},{5,7}}=>[8,4,3,6,7,2,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [3,6,8,2,5,7,1,4]=>{{1,3,8},{2,6,7},{4},{5}}=>[3,6,8,4,5,7,2,1]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0] [8,3,2,5,7,6,1,4]=>{{1,8},{2,3},{4,5,7},{6}}=>[8,3,2,5,7,6,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,4,2,3,7,6,8,5]=>{{1},{2,4},{3},{5,7,8},{6}}=>[1,4,3,2,7,6,8,5]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0] [2,4,1,3,7,6,8,5]=>{{1,2,4},{3},{5,7,8},{6}}=>[2,4,3,1,7,6,8,5]=>[1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0] [2,5,1,3,7,6,8,4]=>{{1,2,5,7,8},{3},{4},{6}}=>[2,5,3,4,7,6,8,1]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0] [2,8,3,5,7,6,1,4]=>{{1,2,8},{3},{4,5,7},{6}}=>[2,8,3,5,7,6,4,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] [6,8,2,3,5,7,1,4]=>{{1,6,7},{2,8},{3},{4},{5}}=>[6,8,3,4,5,7,1,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] [3,1,2,4,7,6,8,5]=>{{1,3},{2},{4},{5,7,8},{6}}=>[3,2,1,4,7,6,8,5]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0] [8,1,2,4,3,6,5,7]=>{{1,8},{2},{3},{4},{5},{6},{7}}=>[8,2,3,4,5,6,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,1,3,4,2,6,7,5]=>{{1,8},{2},{3},{4},{5},{6},{7}}=>[8,2,3,4,5,6,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,1,3,2,4,5,7,6]=>{{1,8},{2},{3},{4},{5},{6},{7}}=>[8,2,3,4,5,6,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [4,6,5,8,7,1,2,3]=>{{1,4,8},{2,6},{3,5,7}}=>[4,6,5,8,7,2,3,1]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0] [2,5,6,7,8,3,4,1]=>{{1,2,5,8},{3,6},{4,7}}=>[2,5,6,7,8,3,4,1]=>[1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0] [2,4,6,7,3,8,5,1]=>{{1,2,4,7},{3,6,8},{5}}=>[2,4,6,7,5,8,1,3]=>[1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0] [4,2,6,7,3,1,5,8]=>{{1,4,7},{2},{3,6},{5},{8}}=>[4,2,6,7,5,3,1,8]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0] [5,6,3,8,1,2,7,4]=>{{1,5},{2,6},{3},{4,8},{7}}=>[5,6,3,8,1,2,7,4]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0] [4,3,6,7,2,1,8,5]=>{{1,4,7,8},{2,3,6},{5}}=>[4,3,6,7,5,2,8,1]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0] [3,4,2,5,6,8,1,7]=>{{1,3},{2,4,5,6,8},{7}}=>[3,4,1,5,6,8,7,2]=>[1,1,1,0,1,0,0,1,0,1,0,1,1,0,0,0] [4,7,1,8,6,5,2,3]=>{{1,4,8},{2,7},{3},{5,6}}=>[4,7,3,8,6,5,2,1]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0] [4,6,8,1,2,7,5,3]=>{{1,4},{2,6,7},{3,8},{5}}=>[4,6,8,1,5,7,2,3]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] [7,8,1,3,6,5,2,4]=>{{1,7},{2,8},{3},{4},{5,6}}=>[7,8,3,4,6,5,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] [4,7,2,8,6,1,5,3]=>{{1,4,8},{2,7},{3},{5,6}}=>[4,7,3,8,6,5,2,1]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0] [7,8,2,3,6,5,1,4]=>{{1,7},{2,8},{3},{4},{5,6}}=>[7,8,3,4,6,5,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] [8,5,7,1,6,2,3,4]=>{{1,8},{2,5,6},{3,7},{4}}=>[8,5,7,4,6,2,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [6,2,4,8,7,1,5,3]=>{{1,6},{2},{3,4,8},{5,7}}=>[6,2,4,8,7,1,5,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] [1,6,8,3,7,4,5,2]=>{{1},{2,6},{3,8},{4},{5,7}}=>[1,6,8,4,7,2,5,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] [6,2,4,8,1,7,5,3]=>{{1,6,7},{2},{3,4,8},{5}}=>[6,2,4,8,5,7,1,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] [5,8,4,2,7,1,6,3]=>{{1,5,7},{2,8},{3,4},{6}}=>[5,8,4,3,7,6,1,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] [1,8,7,5,3,4,6,2]=>{{1},{2,8},{3,7},{4,5},{6}}=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] [5,8,4,7,2,1,6,3]=>{{1,5},{2,8},{3,4,7},{6}}=>[5,8,4,7,1,6,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] [1,8,7,5,4,3,6,2]=>{{1},{2,8},{3,7},{4,5},{6}}=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] [5,8,4,7,1,2,6,3]=>{{1,5},{2,8},{3,4,7},{6}}=>[5,8,4,7,1,6,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] [5,8,4,1,7,2,6,3]=>{{1,5,7},{2,8},{3,4},{6}}=>[5,8,4,3,7,6,1,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] [5,8,4,7,1,6,2,3]=>{{1,5},{2,8},{3,4,7},{6}}=>[5,8,4,7,1,6,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] [8,2,5,6,7,4,1,3]=>{{1,8},{2},{3,5,7},{4,6}}=>[8,2,5,6,7,4,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [4,8,5,7,1,6,2,3]=>{{1,4,7},{2,8},{3,5},{6}}=>[4,8,5,7,3,6,1,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] [4,8,5,7,1,2,6,3]=>{{1,4,7},{2,8},{3,5},{6}}=>[4,8,5,7,3,6,1,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] [4,8,5,1,7,2,6,3]=>{{1,4},{2,8},{3,5,7},{6}}=>[4,8,5,1,7,6,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] [8,5,3,1,7,2,6,4]=>{{1,8},{2,5,7},{3},{4},{6}}=>[8,5,3,4,7,6,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [4,6,2,8,1,7,5,3]=>{{1,4,8},{2,6,7},{3},{5}}=>[4,6,3,8,5,7,2,1]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0] [1,6,4,8,3,7,5,2]=>{{1},{2,6,7},{3,4,8},{5}}=>[1,6,4,8,5,7,2,3]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] [4,8,5,7,2,1,6,3]=>{{1,4,7},{2,8},{3,5},{6}}=>[4,8,5,7,3,6,1,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] [8,5,3,2,7,1,6,4]=>{{1,8},{2,5,7},{3},{4},{6}}=>[8,5,3,4,7,6,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [4,8,5,2,7,1,6,3]=>{{1,4},{2,8},{3,5,7},{6}}=>[4,8,5,1,7,6,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] [8,2,4,5,7,1,6,3]=>{{1,8},{2},{3,4,5,7},{6}}=>[8,2,4,5,7,6,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,5,2,3,7,1,6,4]=>{{1,8},{2,5,7},{3},{4},{6}}=>[8,5,3,4,7,6,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [6,3,1,5,4,2,8,7]=>{{1,6},{2,3},{4,5},{7,8}}=>[6,3,2,5,4,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] [8,3,1,5,2,7,6,4]=>{{1,8},{2,3},{4,5},{6,7}}=>[8,3,2,5,4,7,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,5,4,2,1,7,3,6]=>{{1,8},{2,5},{3,4},{6,7}}=>[8,5,4,3,2,7,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,5,4,2,1,7,6,3]=>{{1,8},{2,5},{3,4},{6,7}}=>[8,5,4,3,2,7,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [6,5,4,2,1,3,8,7]=>{{1,6},{2,5},{3,4},{7,8}}=>[6,5,4,3,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] [6,5,4,2,3,1,8,7]=>{{1,6},{2,5},{3,4},{7,8}}=>[6,5,4,3,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] [6,3,2,5,1,4,8,7]=>{{1,6},{2,3},{4,5},{7,8}}=>[6,3,2,5,4,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] [6,5,4,3,1,2,8,7]=>{{1,6},{2,5},{3,4},{7,8}}=>[6,5,4,3,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] [6,5,4,1,3,2,8,7]=>{{1,6},{2,5},{3,4},{7,8}}=>[6,5,4,3,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] [8,5,4,1,2,7,6,3]=>{{1,8},{2,5},{3,4},{6,7}}=>[8,5,4,3,2,7,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,7,4,1,6,3,2,5]=>{{1,8},{2,7},{3,4},{5,6}}=>[8,7,4,3,6,5,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,7,4,1,6,3,5,2]=>{{1,8},{2,7},{3,4},{5,6}}=>[8,7,4,3,6,5,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,7,4,1,6,5,3,2]=>{{1,8},{2,7},{3,4},{5,6}}=>[8,7,4,3,6,5,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,5,4,1,3,7,6,2]=>{{1,8},{2,5},{3,4},{6,7}}=>[8,5,4,3,2,7,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,5,4,3,1,7,6,2]=>{{1,8},{2,5},{3,4},{6,7}}=>[8,5,4,3,2,7,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,3,2,5,1,7,6,4]=>{{1,8},{2,3},{4,5},{6,7}}=>[8,3,2,5,4,7,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [2,1,8,5,3,7,6,4]=>{{1,2},{3,8},{4,5},{6,7}}=>[2,1,8,5,4,7,6,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] [8,3,2,5,1,7,4,6]=>{{1,8},{2,3},{4,5},{6,7}}=>[8,3,2,5,4,7,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,5,4,3,1,7,2,6]=>{{1,8},{2,5},{3,4},{6,7}}=>[8,5,4,3,2,7,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,5,4,1,3,7,2,6]=>{{1,8},{2,5},{3,4},{6,7}}=>[8,5,4,3,2,7,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,7,4,1,6,5,2,3]=>{{1,8},{2,7},{3,4},{5,6}}=>[8,7,4,3,6,5,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,7,4,1,6,2,5,3]=>{{1,8},{2,7},{3,4},{5,6}}=>[8,7,4,3,6,5,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,7,6,5,2,1,4,3]=>{{1,8},{2,7},{3,6},{4,5}}=>[8,7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,7,4,3,6,2,1,5]=>{{1,8},{2,7},{3,4},{5,6}}=>[8,7,4,3,6,5,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,3,2,7,6,4,1,5]=>{{1,8},{2,3},{4,7},{5,6}}=>[8,3,2,7,6,5,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [2,1,8,7,6,4,3,5]=>{{1,2},{3,8},{4,7},{5,6}}=>[2,1,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] [2,1,8,7,6,4,5,3]=>{{1,2},{3,8},{4,7},{5,6}}=>[2,1,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] [8,3,2,7,6,4,5,1]=>{{1,8},{2,3},{4,7},{5,6}}=>[8,3,2,7,6,5,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,7,4,3,6,2,5,1]=>{{1,8},{2,7},{3,4},{5,6}}=>[8,7,4,3,6,5,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,7,6,5,2,4,3,1]=>{{1,8},{2,7},{3,6},{4,5}}=>[8,7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,5,4,2,3,7,6,1]=>{{1,8},{2,5},{3,4},{6,7}}=>[8,5,4,3,2,7,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,7,4,2,6,5,3,1]=>{{1,8},{2,7},{3,4},{5,6}}=>[8,7,4,3,6,5,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,7,4,2,6,3,5,1]=>{{1,8},{2,7},{3,4},{5,6}}=>[8,7,4,3,6,5,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,7,4,2,6,3,1,5]=>{{1,8},{2,7},{3,4},{5,6}}=>[8,7,4,3,6,5,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,3,1,7,6,4,2,5]=>{{1,8},{2,3},{4,7},{5,6}}=>[8,3,2,7,6,5,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,3,1,7,6,4,5,2]=>{{1,8},{2,3},{4,7},{5,6}}=>[8,3,2,7,6,5,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,3,1,7,6,5,4,2]=>{{1,8},{2,3},{4,7},{5,6}}=>[8,3,2,7,6,5,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,3,1,5,4,7,6,2]=>{{1,8},{2,3},{4,5},{6,7}}=>[8,3,2,5,4,7,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,3,1,5,4,7,2,6]=>{{1,8},{2,3},{4,5},{6,7}}=>[8,3,2,5,4,7,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,3,1,7,6,5,2,4]=>{{1,8},{2,3},{4,7},{5,6}}=>[8,3,2,7,6,5,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,3,1,7,6,2,5,4]=>{{1,8},{2,3},{4,7},{5,6}}=>[8,3,2,7,6,5,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,7,4,2,6,1,5,3]=>{{1,8},{2,7},{3,4},{5,6}}=>[8,7,4,3,6,5,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,7,4,2,6,5,1,3]=>{{1,8},{2,7},{3,4},{5,6}}=>[8,7,4,3,6,5,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,5,4,2,3,7,1,6]=>{{1,8},{2,5},{3,4},{6,7}}=>[8,5,4,3,2,7,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,3,2,5,4,7,1,6]=>{{1,8},{2,3},{4,5},{6,7}}=>[8,3,2,5,4,7,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [2,1,8,5,4,7,3,6]=>{{1,2},{3,8},{4,5},{6,7}}=>[2,1,8,5,4,7,6,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] [8,3,2,7,6,5,1,4]=>{{1,8},{2,3},{4,7},{5,6}}=>[8,3,2,7,6,5,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,7,4,3,6,5,1,2]=>{{1,8},{2,7},{3,4},{5,6}}=>[8,7,4,3,6,5,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,7,6,5,3,1,4,2]=>{{1,8},{2,7},{3,6},{4,5}}=>[8,7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,7,6,5,1,3,2,4]=>{{1,8},{2,7},{3,6},{4,5}}=>[8,7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,7,6,5,1,3,4,2]=>{{1,8},{2,7},{3,6},{4,5}}=>[8,7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,7,6,5,1,4,3,2]=>{{1,8},{2,7},{3,6},{4,5}}=>[8,7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,7,6,5,4,1,3,2]=>{{1,8},{2,7},{3,6},{4,5}}=>[8,7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,7,4,3,6,1,5,2]=>{{1,8},{2,7},{3,4},{5,6}}=>[8,7,4,3,6,5,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,3,2,7,6,1,5,4]=>{{1,8},{2,3},{4,7},{5,6}}=>[8,3,2,7,6,5,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [2,1,8,7,6,3,5,4]=>{{1,2},{3,8},{4,7},{5,6}}=>[2,1,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] [8,3,2,7,6,1,4,5]=>{{1,8},{2,3},{4,7},{5,6}}=>[8,3,2,7,6,5,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,7,6,5,1,4,2,3]=>{{1,8},{2,7},{3,6},{4,5}}=>[8,7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,7,6,5,1,2,4,3]=>{{1,8},{2,7},{3,6},{4,5}}=>[8,7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [7,3,5,1,8,4,6,2]=>{{1,7},{2,3,5,8},{4},{6}}=>[7,3,5,4,8,6,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] [4,5,6,2,1,8,7,3]=>{{1,4},{2,5},{3,6,8},{7}}=>[4,5,6,1,2,8,7,3]=>[1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0] [7,6,5,1,8,4,3,2]=>{{1,7},{2,6},{3,5,8},{4}}=>[7,6,5,4,8,2,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] [7,6,4,1,8,5,3,2]=>{{1,7},{2,6},{3,4},{5,8}}=>[7,6,4,3,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] [6,4,2,1,8,7,5,3]=>{{1,6,7},{2,4},{3},{5,8}}=>[6,4,3,2,8,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] [2,6,5,1,7,8,4,3]=>{{1,2,6,8},{3,5,7},{4}}=>[2,6,5,4,7,8,3,1]=>[1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0] [4,5,7,1,6,8,2,3]=>{{1,4},{2,5,6,8},{3,7}}=>[4,5,7,1,6,8,3,2]=>[1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0] [4,3,1,2,8,6,5,7]=>{{1,4},{2,3},{5,8},{6},{7}}=>[4,3,2,1,8,6,7,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] [7,1,5,6,8,2,3,4]=>{{1,7},{2},{3,5,8},{4,6}}=>[7,2,5,6,8,4,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] [7,4,1,6,8,5,2,3]=>{{1,7},{2,4,6},{3},{5,8}}=>[7,4,3,6,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] [7,3,1,5,8,6,2,4]=>{{1,7},{2,3},{4,5,8},{6}}=>[7,3,2,5,8,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] [3,6,7,1,4,8,2,5]=>{{1,3,7},{2,6,8},{4},{5}}=>[3,6,7,4,5,8,1,2]=>[1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0] [4,2,1,3,8,7,5,6]=>{{1,4},{2},{3},{5,8},{6,7}}=>[4,2,3,1,8,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] [2,6,1,4,7,8,3,5]=>{{1,2,6,8},{3},{4},{5,7}}=>[2,6,3,4,7,8,5,1]=>[1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0] [7,1,4,6,8,2,3,5]=>{{1,7},{2},{3,4,6},{5,8}}=>[7,2,4,6,8,3,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] [6,1,2,4,8,3,5,7]=>{{1,6},{2},{3},{4},{5,8},{7}}=>[6,2,3,4,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] [7,4,5,2,3,1,8,6]=>{{1,7,8},{2,4},{3,5},{6}}=>[7,4,5,2,3,6,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] [6,3,5,2,4,1,8,7]=>{{1,6},{2,3,5},{4},{7,8}}=>[6,3,5,4,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] [5,2,4,1,6,3,8,7]=>{{1,5,6},{2},{3,4},{7,8}}=>[5,2,4,3,6,1,8,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0] [6,3,4,1,5,2,8,7]=>{{1,6},{2,3,4},{5},{7,8}}=>[6,3,4,2,5,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] [6,2,8,5,7,3,4,1]=>{{1,6},{2},{3,8},{4,5,7}}=>[6,2,8,5,7,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] [3,1,8,6,7,4,5,2]=>{{1,3,8},{2},{4,6},{5,7}}=>[3,2,8,6,7,4,5,1]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0] [4,1,8,6,7,3,5,2]=>{{1,4,6},{2},{3,8},{5,7}}=>[4,2,8,6,7,1,5,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] [8,5,6,2,7,3,4,1]=>{{1,8},{2,5,7},{3,6},{4}}=>[8,5,6,4,7,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [4,1,8,5,7,3,6,2]=>{{1,4,5,7},{2},{3,8},{6}}=>[4,2,8,5,7,6,1,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] [3,1,8,5,7,4,6,2]=>{{1,3,8},{2},{4,5,7},{6}}=>[3,2,8,5,7,6,4,1]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0] [2,1,8,5,7,4,6,3]=>{{1,2},{3,8},{4,5,7},{6}}=>[2,1,8,5,7,6,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] [2,1,7,4,6,3,8,5]=>{{1,2},{3,7,8},{4},{5,6}}=>[2,1,7,4,6,5,8,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0] [3,1,7,4,6,2,8,5]=>{{1,3,7,8},{2},{4},{5,6}}=>[3,2,7,4,6,5,8,1]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0] [5,1,7,3,6,2,8,4]=>{{1,5,6},{2},{3,7,8},{4}}=>[5,2,7,4,6,1,8,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0] [6,2,8,4,7,3,5,1]=>{{1,6},{2},{3,8},{4},{5,7}}=>[6,2,8,4,7,1,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] [8,4,7,3,6,2,5,1]=>{{1,8},{2,4},{3,7},{5,6}}=>[8,4,7,2,6,5,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [7,3,6,2,5,1,8,4]=>{{1,7,8},{2,3,6},{4},{5}}=>[7,3,6,4,5,2,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] [6,2,5,1,7,3,8,4]=>{{1,6},{2},{3,5,7,8},{4}}=>[6,2,5,4,7,1,8,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0] [5,2,4,1,7,3,8,6]=>{{1,5,7,8},{2},{3,4},{6}}=>[5,2,4,3,7,6,8,1]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0] [8,5,7,3,6,2,4,1]=>{{1,8},{2,5,6},{3,7},{4}}=>[8,5,7,4,6,2,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,5,7,4,6,2,3,1]=>{{1,8},{2,5,6},{3,7},{4}}=>[8,5,7,4,6,2,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [6,2,3,1,8,5,7,4]=>{{1,6},{2},{3},{4},{5,8},{7}}=>[6,2,3,4,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] [3,1,6,2,8,5,7,4]=>{{1,3,6},{2},{4},{5,8},{7}}=>[3,2,6,4,8,1,7,5]=>[1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0] [7,3,8,4,6,2,5,1]=>{{1,7},{2,3,8},{4},{5,6}}=>[7,3,8,4,6,5,1,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] [8,4,5,1,6,2,7,3]=>{{1,8},{2,4},{3,5,6},{7}}=>[8,4,5,2,6,3,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [5,1,8,4,6,2,7,3]=>{{1,5,6},{2},{3,8},{4},{7}}=>[5,2,8,4,6,1,7,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0] [3,1,8,5,6,2,7,4]=>{{1,3,8},{2},{4,5,6},{7}}=>[3,2,8,5,6,4,7,1]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0] [2,1,8,5,6,3,7,4]=>{{1,2},{3,8},{4,5,6},{7}}=>[2,1,8,5,6,4,7,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] [8,4,5,1,7,3,6,2]=>{{1,8},{2,4},{3,5,7},{6}}=>[8,4,5,2,7,6,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [7,3,6,2,8,4,5,1]=>{{1,7},{2,3,6},{4},{5,8}}=>[7,3,6,4,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] [7,8,5,6,1,3,4,2]=>{{1,7},{2,8},{3,5},{4,6}}=>[7,8,5,6,3,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] [7,8,1,3,6,2,5,4]=>{{1,7},{2,8},{3},{4},{5,6}}=>[7,8,3,4,6,5,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] [7,8,2,4,5,6,1,3]=>{{1,7},{2,8},{3},{4},{5},{6}}=>[7,8,3,4,5,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] [7,8,2,1,6,3,4,5]=>{{1,7},{2,8},{3},{4},{5,6}}=>[7,8,3,4,6,5,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] [7,8,3,5,6,4,1,2]=>{{1,7},{2,8},{3},{4,5,6}}=>[7,8,3,5,6,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] [7,8,1,4,2,3,6,5]=>{{1,7},{2,8},{3},{4},{5},{6}}=>[7,8,3,4,5,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] [7,8,4,5,3,1,6,2]=>{{1,7},{2,8},{3,4,5},{6}}=>[7,8,4,5,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] [1,5,8,4,3,2,7,6]=>{{1},{2,5},{3,8},{4},{6},{7}}=>[1,5,8,4,2,6,7,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] [5,6,1,4,3,2,7,8]=>{{1,5},{2,6},{3},{4},{7},{8}}=>[5,6,3,4,1,2,7,8]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0] [1,4,6,8,3,7,5,2]=>{{1},{2,4,8},{3,6,7},{5}}=>[1,4,6,8,5,7,3,2]=>[1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0] [2,4,8,5,3,1,6,7]=>{{1,2,4,5},{3,8},{6},{7}}=>[2,4,8,5,1,6,7,3]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0] [2,5,8,1,4,7,6,3]=>{{1,2,5},{3,8},{4},{6,7}}=>[2,5,8,4,1,7,6,3]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0] [3,5,8,4,7,6,1,2]=>{{1,3,8},{2,5,7},{4},{6}}=>[3,5,8,4,7,6,2,1]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0] [5,6,2,1,4,7,8,3]=>{{1,5},{2,6,7,8},{3},{4}}=>[5,6,3,4,1,7,8,2]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0] [4,6,2,5,3,1,8,7]=>{{1,4,5},{2,6},{3},{7,8}}=>[4,6,3,5,1,2,8,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0] [4,7,5,1,3,6,8,2]=>{{1,4},{2,7,8},{3,5},{6}}=>[4,7,5,1,3,6,8,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0] [7,5,3,6,2,4,1,8]=>{{1,7},{2,5},{3},{4,6},{8}}=>[7,5,3,6,2,4,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] [5,7,3,6,1,4,8,2]=>{{1,5},{2,7,8},{3},{4,6}}=>[5,7,3,6,1,4,8,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0] [5,3,6,7,2,1,8,4]=>{{1,5},{2,3,6},{4,7,8}}=>[5,3,6,7,1,2,8,4]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0] [6,1,7,5,2,4,8,3]=>{{1,6},{2},{3,7,8},{4,5}}=>[6,2,7,5,4,1,8,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0] [1,4,7,2,5,3,8,6]=>{{1},{2,4},{3,7,8},{5},{6}}=>[1,4,7,2,5,6,8,3]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0] [4,6,7,8,3,5,1,2]=>{{1,4,8},{2,6},{3,7},{5}}=>[4,6,7,8,5,2,3,1]=>[1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0] [1,6,7,5,8,2,4,3]=>{{1},{2,6},{3,7},{4,5,8}}=>[1,6,7,5,8,2,3,4]=>[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0] [3,5,6,7,8,1,4,2]=>{{1,3,6},{2,5,8},{4,7}}=>[3,5,6,7,8,1,4,2]=>[1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0] [3,6,5,7,8,2,1,4]=>{{1,3,5,8},{2,6},{4,7}}=>[3,6,5,7,8,2,4,1]=>[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0] [5,2,7,6,1,4,3,8]=>{{1,5},{2},{3,7},{4,6},{8}}=>[5,2,7,6,1,4,3,8]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] [3,7,6,8,5,4,1,2]=>{{1,3,6},{2,7},{4,8},{5}}=>[3,7,6,8,5,1,2,4]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0] [3,2,8,4,5,6,1,7]=>{{1,3,8},{2},{4},{5},{6},{7}}=>[3,2,8,4,5,6,7,1]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0] [4,3,7,8,1,2,6,5]=>{{1,4,8},{2,3,7},{5},{6}}=>[4,3,7,8,5,6,2,1]=>[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0] [5,7,8,6,3,2,1,4]=>{{1,5},{2,7},{3,8},{4,6}}=>[5,7,8,6,1,4,2,3]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0] [5,7,8,6,1,3,4,2]=>{{1,5},{2,7},{3,8},{4,6}}=>[5,7,8,6,1,4,2,3]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0] [7,6,5,8,1,3,4,2]=>{{1,7},{2,6},{3,5},{4,8}}=>[7,6,5,8,3,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] [2,4,5,1,7,8,6,3]=>{{1,2,4},{3,5,7},{6,8}}=>[2,4,5,1,7,8,3,6]=>[1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0] [2,6,4,1,8,3,7,5]=>{{1,2,6},{3,4},{5,8},{7}}=>[2,6,4,3,8,1,7,5]=>[1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0] [7,3,6,4,8,5,1,2]=>{{1,7},{2,3,6},{4},{5,8}}=>[7,3,6,4,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] [7,2,5,6,3,8,1,4]=>{{1,7},{2},{3,5},{4,6,8}}=>[7,2,5,6,3,8,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] [6,5,2,7,1,8,4,3]=>{{1,6,8},{2,5},{3},{4,7}}=>[6,5,3,7,2,8,4,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0] [5,7,6,4,1,8,3,2]=>{{1,5},{2,7},{3,6,8},{4}}=>[5,7,6,4,1,8,2,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0] [6,7,1,5,2,8,3,4]=>{{1,6,8},{2,7},{3},{4,5}}=>[6,7,3,5,4,8,2,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0] [1,7,5,2,4,8,3,6]=>{{1},{2,7},{3,5},{4},{6,8}}=>[1,7,5,4,3,8,2,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0] [6,7,5,3,8,4,1,2]=>{{1,6},{2,7},{3,5,8},{4}}=>[6,7,5,4,8,1,2,3]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0] [1,6,5,4,2,3,8,7]=>{{1},{2,6},{3,5},{4},{7,8}}=>[1,6,5,4,3,2,8,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] [7,6,1,5,3,2,8,4]=>{{1,7,8},{2,6},{3},{4,5}}=>[7,6,3,5,4,2,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] [7,5,6,4,1,2,8,3]=>{{1,7,8},{2,5},{3,6},{4}}=>[7,5,6,4,2,3,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] [6,7,5,4,3,1,8,2]=>{{1,6},{2,7,8},{3,5},{4}}=>[6,7,5,4,3,1,8,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0] [7,4,6,1,2,5,3,8]=>{{1,7},{2,4},{3,6},{5},{8}}=>[7,4,6,2,5,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] [6,8,1,4,2,5,7,3]=>{{1,6},{2,8},{3},{4},{5},{7}}=>[6,8,3,4,5,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] [7,1,3,5,6,4,2,8]=>{{1,7},{2},{3},{4,5,6},{8}}=>[7,2,3,5,6,4,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] [7,4,2,6,5,1,3,8]=>{{1,7},{2,4,6},{3},{5},{8}}=>[7,4,3,6,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] [7,4,6,3,1,5,2,8]=>{{1,7},{2,4},{3,6},{5},{8}}=>[7,4,6,2,5,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] [6,8,1,2,3,4,7,5]=>{{1,6},{2,8},{3},{4},{5},{7}}=>[6,8,3,4,5,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] [6,8,2,3,5,4,7,1]=>{{1,6},{2,8},{3},{4},{5},{7}}=>[6,8,3,4,5,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] [6,8,2,4,1,5,7,3]=>{{1,6},{2,8},{3},{4},{5},{7}}=>[6,8,3,4,5,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] [6,8,3,1,2,4,7,5]=>{{1,6},{2,8},{3},{4},{5},{7}}=>[6,8,3,4,5,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] [2,6,3,5,7,1,4,8]=>{{1,2,6},{3},{4,5,7},{8}}=>[2,6,3,5,7,1,4,8]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0] [2,5,1,7,8,3,6,4]=>{{1,2,5,8},{3},{4,7},{6}}=>[2,5,3,7,8,6,4,1]=>[1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0] [2,5,3,6,8,4,7,1]=>{{1,2,5,8},{3},{4,6},{7}}=>[2,5,3,6,8,4,7,1]=>[1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0] [2,1,4,7,8,5,6,3]=>{{1,2},{3,4,7},{5,8},{6}}=>[2,1,4,7,8,6,3,5]=>[1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0] [2,5,7,8,1,4,6,3]=>{{1,2,5},{3,7},{4,8},{6}}=>[2,5,7,8,1,6,3,4]=>[1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0] [5,3,4,1,8,6,7,2]=>{{1,5,8},{2,3,4},{6},{7}}=>[5,3,4,2,8,6,7,1]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0] [5,2,8,4,6,1,7,3]=>{{1,5,6},{2},{3,8},{4},{7}}=>[5,2,8,4,6,1,7,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0] [4,2,8,5,7,6,3,1]=>{{1,4,5,7},{2},{3,8},{6}}=>[4,2,8,5,7,6,1,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] [4,1,8,6,7,5,3,2]=>{{1,4,6},{2},{3,8},{5,7}}=>[4,2,8,6,7,1,5,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] [6,4,8,3,1,7,2,5]=>{{1,6,7},{2,4},{3,8},{5}}=>[6,4,8,2,5,7,1,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] [6,4,2,8,7,1,3,5]=>{{1,6},{2,4,8},{3},{5,7}}=>[6,4,3,8,7,1,5,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] [6,3,8,7,2,5,1,4]=>{{1,6},{2,3,8},{4,7},{5}}=>[6,3,8,7,5,1,4,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] [1,5,7,6,4,2,8,3]=>{{1},{2,5},{3,7,8},{4,6}}=>[1,5,7,6,2,4,8,3]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0] [6,4,8,1,2,7,3,5]=>{{1,6,7},{2,4},{3,8},{5}}=>[6,4,8,2,5,7,1,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] [4,5,1,2,7,6,3,8]=>{{1,4},{2,5,7},{3},{6},{8}}=>[4,5,3,1,7,6,2,8]=>[1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0] [4,5,1,2,6,8,7,3]=>{{1,4},{2,5,6,8},{3},{7}}=>[4,5,3,1,6,8,7,2]=>[1,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0] [3,5,6,1,8,4,7,2]=>{{1,3,6},{2,5,8},{4},{7}}=>[3,5,6,4,8,1,7,2]=>[1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0] [3,5,7,1,2,8,6,4]=>{{1,3,7},{2,5},{4},{6,8}}=>[3,5,7,4,2,8,1,6]=>[1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0] [3,6,2,7,5,1,4,8]=>{{1,3},{2,6},{4,7},{5},{8}}=>[3,6,1,7,5,2,4,8]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0] [4,5,3,1,7,6,2,8]=>{{1,4},{2,5,7},{3},{6},{8}}=>[4,5,3,1,7,6,2,8]=>[1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0] [3,5,2,7,8,1,6,4]=>{{1,3},{2,5,8},{4,7},{6}}=>[3,5,1,7,8,6,4,2]=>[1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0] [3,4,6,5,8,7,1,2]=>{{1,3,6,7},{2,4,5,8}}=>[3,4,6,5,8,7,1,2]=>[1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0] [3,4,6,8,5,2,7,1]=>{{1,3,6},{2,4,8},{5},{7}}=>[3,4,6,8,5,1,7,2]=>[1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0] [3,5,6,2,8,4,7,1]=>{{1,3,6},{2,5,8},{4},{7}}=>[3,5,6,4,8,1,7,2]=>[1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0] [4,5,3,1,6,8,7,2]=>{{1,4},{2,5,6,8},{3},{7}}=>[4,5,3,1,6,8,7,2]=>[1,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0] [2,1,7,5,8,6,4,3]=>{{1,2},{3,7},{4,5,8},{6}}=>[2,1,7,5,8,6,3,4]=>[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0] [6,1,3,7,5,2,4,8]=>{{1,6},{2},{3},{4,7},{5},{8}}=>[6,2,3,7,5,1,4,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] [3,1,2,6,8,5,4,7]=>{{1,3},{2},{4,6},{5,8},{7}}=>[3,2,1,6,8,4,7,5]=>[1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0] [2,4,1,7,8,6,5,3]=>{{1,2,4,7},{3},{5,8},{6}}=>[2,4,3,7,8,6,1,5]=>[1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0] [2,7,4,1,5,8,6,3]=>{{1,2,7},{3,4},{5},{6,8}}=>[2,7,4,3,5,8,1,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0] [3,6,4,8,5,1,7,2]=>{{1,3,4,8},{2,6},{5},{7}}=>[3,6,4,8,5,2,7,1]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0] [6,3,7,4,5,1,8,2]=>{{1,6},{2,3,7,8},{4},{5}}=>[6,3,7,4,5,1,8,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0] [2,6,3,7,5,8,1,4]=>{{1,2,6,8},{3},{4,7},{5}}=>[2,6,3,7,5,8,4,1]=>[1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0] [4,7,2,3,6,8,1,5]=>{{1,4},{2,7},{3},{5,6,8}}=>[4,7,3,1,6,8,2,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0] [5,2,7,3,6,8,1,4]=>{{1,5,6,8},{2},{3,7},{4}}=>[5,2,7,4,6,8,3,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0] [5,7,4,6,2,8,1,3]=>{{1,5},{2,7},{3,4,6,8}}=>[5,7,4,6,1,8,2,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0] [5,7,3,4,6,1,8,2]=>{{1,5,6},{2,7,8},{3},{4}}=>[5,7,3,4,6,1,8,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0] [5,3,8,4,6,1,7,2]=>{{1,5,6},{2,3,8},{4},{7}}=>[5,3,8,4,6,1,7,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0] [8,5,2,4,1,6,7,3]=>{{1,8},{2,5},{3},{4},{6},{7}}=>[8,5,3,4,2,6,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,2,3,5,1,6,7,4]=>{{1,8},{2},{3},{4,5},{6},{7}}=>[8,2,3,5,4,6,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [4,2,8,3,6,7,1,5]=>{{1,4},{2},{3,8},{5,6,7}}=>[4,2,8,1,6,7,5,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] [2,4,8,1,7,3,5,6]=>{{1,2,4},{3,8},{5,7},{6}}=>[2,4,8,1,7,6,5,3]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0] [5,8,4,7,3,1,6,2]=>{{1,5},{2,8},{3,4,7},{6}}=>[5,8,4,7,1,6,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] [4,6,8,3,1,7,5,2]=>{{1,4},{2,6,7},{3,8},{5}}=>[4,6,8,1,5,7,2,3]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] [6,3,8,2,7,1,5,4]=>{{1,6},{2,3,8},{4},{5,7}}=>[6,3,8,4,7,1,5,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] [5,3,8,1,2,6,4,7]=>{{1,5},{2,3,8},{4},{6},{7}}=>[5,3,8,4,1,6,7,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0] [1,6,2,8,5,3,7,4]=>{{1},{2,6},{3},{4,8},{5},{7}}=>[1,6,3,8,5,2,7,4]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] [6,8,5,3,1,7,4,2]=>{{1,6,7},{2,8},{3,5},{4}}=>[6,8,5,4,3,7,1,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] [1,6,3,7,2,8,4,5]=>{{1},{2,6,8},{3},{4,7},{5}}=>[1,6,3,7,5,8,4,2]=>[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0] [6,3,2,7,8,5,1,4]=>{{1,6},{2,3},{4,7},{5,8}}=>[6,3,2,7,8,1,4,5]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0] [4,5,7,8,3,1,6,2]=>{{1,4,8},{2,5},{3,7},{6}}=>[4,5,7,8,2,6,3,1]=>[1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0] [4,7,2,5,8,1,6,3]=>{{1,4,5,8},{2,7},{3},{6}}=>[4,7,3,5,8,6,2,1]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0] [3,8,2,4,6,7,1,5]=>{{1,3},{2,8},{4},{5,6,7}}=>[3,8,1,4,6,7,5,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] [4,8,3,5,6,1,7,2]=>{{1,4,5,6},{2,8},{3},{7}}=>[4,8,3,5,6,1,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] [5,6,2,3,7,8,1,4]=>{{1,5,7},{2,6,8},{3},{4}}=>[5,6,3,4,7,8,1,2]=>[1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0] [6,8,4,7,1,5,3,2]=>{{1,6},{2,8},{3,4,7},{5}}=>[6,8,4,7,5,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] [6,8,4,7,2,5,3,1]=>{{1,6},{2,8},{3,4,7},{5}}=>[6,8,4,7,5,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] [5,4,8,7,2,6,3,1]=>{{1,5},{2,4,7},{3,8},{6}}=>[5,4,8,7,1,6,2,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0] [5,4,8,7,1,6,3,2]=>{{1,5},{2,4,7},{3,8},{6}}=>[5,4,8,7,1,6,2,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0] [4,3,8,7,6,1,2,5]=>{{1,4,7},{2,3,8},{5,6}}=>[4,3,8,7,6,5,1,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] [3,8,4,7,5,1,2,6]=>{{1,3,4,7},{2,8},{5},{6}}=>[3,8,4,7,5,6,1,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] [4,5,8,7,1,6,3,2]=>{{1,4,7},{2,5},{3,8},{6}}=>[4,5,8,7,2,6,1,3]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0] [4,5,8,7,2,6,3,1]=>{{1,4,7},{2,5},{3,8},{6}}=>[4,5,8,7,2,6,1,3]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0] [3,5,8,2,7,6,4,1]=>{{1,3,8},{2,5,7},{4},{6}}=>[3,5,8,4,7,6,2,1]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0] [3,5,8,1,7,6,4,2]=>{{1,3,8},{2,5,7},{4},{6}}=>[3,5,8,4,7,6,2,1]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0] [2,5,8,1,7,6,4,3]=>{{1,2,5,7},{3,8},{4},{6}}=>[2,5,8,4,7,6,1,3]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0] [2,5,8,7,1,6,3,4]=>{{1,2,5},{3,8},{4,7},{6}}=>[2,5,8,7,1,6,4,3]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0] [2,4,8,7,1,6,3,5]=>{{1,2,4,7},{3,8},{5},{6}}=>[2,4,8,7,5,6,1,3]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0] [1,5,8,2,7,6,4,3]=>{{1},{2,5,7},{3,8},{4},{6}}=>[1,5,8,4,7,6,2,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] [2,5,8,3,7,6,4,1]=>{{1,2,5,7},{3,8},{4},{6}}=>[2,5,8,4,7,6,1,3]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0] [1,4,2,8,7,6,5,3]=>{{1},{2,4,8},{3},{5,7},{6}}=>[1,4,3,8,7,6,5,2]=>[1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] [3,4,1,8,7,6,5,2]=>{{1,3},{2,4,8},{5,7},{6}}=>[3,4,1,8,7,6,5,2]=>[1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0] [4,3,1,8,7,6,5,2]=>{{1,4,8},{2,3},{5,7},{6}}=>[4,3,2,8,7,6,5,1]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0] [5,3,8,1,7,6,4,2]=>{{1,5,7},{2,3,8},{4},{6}}=>[5,3,8,4,7,6,1,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0] [5,3,8,2,7,6,4,1]=>{{1,5,7},{2,3,8},{4},{6}}=>[5,3,8,4,7,6,1,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0] [3,1,2,8,7,6,5,4]=>{{1,3},{2},{4,8},{5,7},{6}}=>[3,2,1,8,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] [3,1,4,8,7,6,5,2]=>{{1,3,4,8},{2},{5,7},{6}}=>[3,2,4,8,7,6,5,1]=>[1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0] [1,4,5,2,8,3,7,6]=>{{1},{2,4},{3,5,8},{6},{7}}=>[1,4,5,2,8,6,7,3]=>[1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0] [1,4,2,6,5,8,3,7]=>{{1},{2,4,6,8},{3},{5},{7}}=>[1,4,3,6,5,8,7,2]=>[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] [3,1,6,5,8,2,4,7]=>{{1,3,6},{2},{4,5,8},{7}}=>[3,2,6,5,8,1,7,4]=>[1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0] [1,6,4,2,5,8,3,7]=>{{1},{2,6,8},{3,4},{5},{7}}=>[1,6,4,3,5,8,7,2]=>[1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] [1,5,2,6,4,8,3,7]=>{{1},{2,5},{3},{4,6,8},{7}}=>[1,5,3,6,2,8,7,4]=>[1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0] [1,2,5,4,7,3,8,6]=>{{1},{2},{3,5,7,8},{4},{6}}=>[1,2,5,4,7,6,8,3]=>[1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0] [1,4,7,5,2,8,3,6]=>{{1},{2,4,5},{3,7},{6,8}}=>[1,4,7,5,2,8,3,6]=>[1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0] [1,4,5,2,8,7,3,6]=>{{1},{2,4},{3,5,8},{6,7}}=>[1,4,5,2,8,7,6,3]=>[1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0] [1,4,2,8,3,7,6,5]=>{{1},{2,4,8},{3},{5},{6,7}}=>[1,4,3,8,5,7,6,2]=>[1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] [1,2,5,3,8,7,6,4]=>{{1},{2},{3,5,8},{4},{6,7}}=>[1,2,5,4,8,7,6,3]=>[1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0] [7,3,1,6,2,8,4,5]=>{{1,7},{2,3},{4,6,8},{5}}=>[7,3,2,6,5,8,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] [1,2,7,6,5,3,8,4]=>{{1},{2},{3,7,8},{4,6},{5}}=>[1,2,7,6,5,4,8,3]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0] [1,5,2,6,3,8,7,4]=>{{1},{2,5},{3},{4,6,8},{7}}=>[1,5,3,6,2,8,7,4]=>[1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0] [1,4,2,8,7,3,6,5]=>{{1},{2,4,8},{3},{5,7},{6}}=>[1,4,3,8,7,6,5,2]=>[1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] [8,5,3,1,7,2,4,6]=>{{1,8},{2,5,7},{3},{4},{6}}=>[8,5,3,4,7,6,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,8,5,2,6,3,7,4]=>{{1},{2,8},{3,5,6},{4},{7}}=>[1,8,5,4,6,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,5,2,7,3,8,6,4]=>{{1},{2,5},{3},{4,7},{6,8}}=>[1,5,3,7,2,8,4,6]=>[1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0] [1,6,2,7,3,8,5,4]=>{{1},{2,6,8},{3},{4,7},{5}}=>[1,6,3,7,5,8,4,2]=>[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0] [1,4,2,8,7,6,3,5]=>{{1},{2,4,8},{3},{5,7},{6}}=>[1,4,3,8,7,6,5,2]=>[1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] [1,2,8,6,3,7,5,4]=>{{1},{2},{3,8},{4,6,7},{5}}=>[1,2,8,6,5,7,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] [5,1,8,7,6,2,4,3]=>{{1,5,6},{2},{3,8},{4,7}}=>[5,2,8,7,6,1,4,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0] [5,7,8,6,2,4,1,3]=>{{1,5},{2,7},{3,8},{4,6}}=>[5,7,8,6,1,4,2,3]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0] [8,1,4,5,3,7,6,2]=>{{1,8},{2},{3,4,5},{6,7}}=>[8,2,4,5,3,7,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [6,1,4,5,3,8,7,2]=>{{1,6,8},{2},{3,4,5},{7}}=>[6,2,4,5,3,8,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0] [7,1,4,5,3,8,6,2]=>{{1,7},{2},{3,4,5},{6,8}}=>[7,2,4,5,3,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] [7,1,4,5,3,6,8,2]=>{{1,7,8},{2},{3,4,5},{6}}=>[7,2,4,5,3,6,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] [7,4,1,5,2,6,3,8]=>{{1,7},{2,4,5},{3},{6},{8}}=>[7,4,3,5,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] [6,3,5,7,2,1,4,8]=>{{1,6},{2,3,5},{4,7},{8}}=>[6,3,5,7,2,1,4,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] [6,3,5,8,2,1,7,4]=>{{1,6},{2,3,5},{4,8},{7}}=>[6,3,5,8,2,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] [6,3,5,7,2,1,8,4]=>{{1,6},{2,3,5},{4,7,8}}=>[6,3,5,7,2,1,8,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0] [8,4,5,7,3,6,1,2]=>{{1,8},{2,4,7},{3,5},{6}}=>[8,4,5,7,3,6,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [5,8,7,6,2,4,1,3]=>{{1,5},{2,8},{3,7},{4,6}}=>[5,8,7,6,1,4,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] [5,4,8,6,3,1,7,2]=>{{1,5},{2,4,6},{3,8},{7}}=>[5,4,8,6,1,2,7,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0] [6,3,5,8,2,1,4,7]=>{{1,6},{2,3,5},{4,8},{7}}=>[6,3,5,8,2,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] [2,3,8,5,1,4,7,6]=>{{1,2,3,8},{4,5},{6},{7}}=>[2,3,8,5,4,6,7,1]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0] [2,3,8,6,1,5,7,4]=>{{1,2,3,8},{4,6},{5},{7}}=>[2,3,8,6,5,4,7,1]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0] [2,8,6,7,1,3,5,4]=>{{1,2,8},{3,6},{4,7},{5}}=>[2,8,6,7,5,3,4,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] [8,3,5,7,2,1,6,4]=>{{1,8},{2,3,5},{4,7},{6}}=>[8,3,5,7,2,6,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [2,3,8,5,6,1,7,4]=>{{1,2,3,8},{4,5,6},{7}}=>[2,3,8,5,6,4,7,1]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0] [7,4,5,6,3,1,8,2]=>{{1,7,8},{2,4,6},{3,5}}=>[7,4,5,6,3,2,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] [7,3,5,6,2,8,1,4]=>{{1,7},{2,3,5},{4,6,8}}=>[7,3,5,6,2,8,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] [7,3,5,8,2,1,6,4]=>{{1,7},{2,3,5},{4,8},{6}}=>[7,3,5,8,2,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] [2,7,6,5,1,3,4,8]=>{{1,2,7},{3,6},{4,5},{8}}=>[2,7,6,5,4,3,1,8]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0] [2,7,6,8,1,3,5,4]=>{{1,2,7},{3,6},{4,8},{5}}=>[2,7,6,8,5,3,1,4]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0] [8,7,5,6,1,4,2,3]=>{{1,8},{2,7},{3,5},{4,6}}=>[8,7,5,6,3,4,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [2,6,4,1,8,5,7,3]=>{{1,2,6},{3,4},{5,8},{7}}=>[2,6,4,3,8,1,7,5]=>[1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0] [2,7,6,8,4,3,1,5]=>{{1,2,7},{3,6},{4,8},{5}}=>[2,7,6,8,5,3,1,4]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0] [2,7,6,1,8,3,4,5]=>{{1,2,7},{3,6},{4},{5,8}}=>[2,7,6,4,8,3,1,5]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0] [6,4,1,8,3,2,7,5]=>{{1,6},{2,4,8},{3},{5},{7}}=>[6,4,3,8,5,1,7,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] [2,3,8,6,4,1,7,5]=>{{1,2,3,8},{4,6},{5},{7}}=>[2,3,8,6,5,4,7,1]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0] [2,8,6,7,4,3,1,5]=>{{1,2,8},{3,6},{4,7},{5}}=>[2,8,6,7,5,3,4,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] [8,3,5,7,2,4,1,6]=>{{1,8},{2,3,5},{4,7},{6}}=>[8,3,5,7,2,6,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [2,3,4,1,8,7,5,6]=>{{1,2,3,4},{5,8},{6,7}}=>[2,3,4,1,8,7,6,5]=>[1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0] [2,8,6,1,7,3,4,5]=>{{1,2,8},{3,6},{4},{5,7}}=>[2,8,6,4,7,3,5,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] [2,3,8,1,4,5,7,6]=>{{1,2,3,8},{4},{5},{6},{7}}=>[2,3,8,4,5,6,7,1]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0] [1,2,3,4,5,6,7,9,8]=>{{1},{2},{3},{4},{5},{6},{7},{8,9}}=>[1,2,3,4,5,6,7,9,8]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] [2,1,3,4,5,6,7,8,9]=>{{1,2},{3},{4},{5},{6},{7},{8},{9}}=>[2,1,3,4,5,6,7,8,9]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] [1,2,3,4,5,6,7,8,10,9]=>{{1},{2},{3},{4},{5},{6},{7},{8},{9,10}}=>[1,2,3,4,5,6,7,8,10,9]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] [2,1,3,4,5,6,7,8,9,10]=>{{1,2},{3},{4},{5},{6},{7},{8},{9},{10}}=>[2,1,3,4,5,6,7,8,9,10]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] [9,1,2,3,4,5,6,7,10,8]=>{{1,9,10},{2},{3},{4},{5},{6},{7},{8}}=>[9,2,3,4,5,6,7,8,10,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0] [2,1,3,4,5,6,7,8,9,10,11]=>{{1,2},{3},{4},{5},{6},{7},{8},{9},{10},{11}}=>[2,1,3,4,5,6,7,8,9,10,11]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] [1,7,6,5,4,2,3,8]=>{{1},{2,7},{3,6},{4,5},{8}}=>[1,7,6,5,4,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] [1,8,6,5,2,7,3,4]=>{{1},{2,8},{3,6,7},{4,5}}=>[1,8,6,5,4,7,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] [3,2,1,7,6,4,5,8]=>{{1,3},{2},{4,7},{5,6},{8}}=>[3,2,1,7,6,5,4,8]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] [7,1,6,5,2,4,3,8]=>{{1,7},{2},{3,6},{4,5},{8}}=>[7,2,6,5,4,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] [3,2,1,8,4,7,5,6]=>{{1,3},{2},{4,8},{5},{6,7}}=>[3,2,1,8,5,7,6,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] [1,8,7,2,6,5,3,4]=>{{1},{2,8},{3,7},{4},{5,6}}=>[1,8,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,7,8,2,5,6,3,4]=>{{1},{2,7},{3,8},{4},{5},{6}}=>[1,7,8,4,5,6,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] [1,5,4,8,2,7,3,6]=>{{1},{2,5},{3,4,8},{6,7}}=>[1,5,4,8,2,7,6,3]=>[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0] [8,4,3,7,1,6,5,2]=>{{1,8},{2,4,7},{3},{5},{6}}=>[8,4,3,7,5,6,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,4,3,1,2,5,7,6]=>{{1,8},{2,4},{3},{5},{6},{7}}=>[8,4,3,2,5,6,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,5,1,4,2,3,7,6]=>{{1,8},{2,5},{3},{4},{6},{7}}=>[8,5,3,4,2,6,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [5,6,1,3,4,2,7,8]=>{{1,5},{2,6},{3},{4},{7},{8}}=>[5,6,3,4,1,2,7,8]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0] [3,2,7,1,4,6,5,8]=>{{1,3,7},{2},{4},{5},{6},{8}}=>[3,2,7,4,5,6,1,8]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0] [7,8,1,2,3,5,6,4]=>{{1,7},{2,8},{3},{4},{5},{6}}=>[7,8,3,4,5,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] [6,8,1,2,4,3,7,5]=>{{1,6},{2,8},{3},{4},{5},{7}}=>[6,8,3,4,5,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] [4,8,2,1,3,5,7,6]=>{{1,4},{2,8},{3},{5},{6},{7}}=>[4,8,3,1,5,6,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] [3,2,8,1,4,5,7,6]=>{{1,3,8},{2},{4},{5},{6},{7}}=>[3,2,8,4,5,6,7,1]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0] [4,1,3,2,5,6,7,8]=>{{1,4},{2},{3},{5},{6},{7},{8}}=>[4,2,3,1,5,6,7,8]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0] [5,1,2,4,3,6,7,8]=>{{1,5},{2},{3},{4},{6},{7},{8}}=>[5,2,3,4,1,6,7,8]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] [6,1,2,3,5,4,7,8]=>{{1,6},{2},{3},{4},{5},{7},{8}}=>[6,2,3,4,5,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] [7,1,2,3,4,6,5,8]=>{{1,7},{2},{3},{4},{5},{6},{8}}=>[7,2,3,4,5,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] [8,1,2,3,4,5,7,6]=>{{1,8},{2},{3},{4},{5},{6},{7}}=>[8,2,3,4,5,6,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [5,4,7,6,8,1,2,3]=>{{1,5,8},{2,4,6},{3,7}}=>[5,4,7,6,8,2,3,1]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0] [4,5,6,7,1,8,3,2]=>{{1,4,7},{2,5},{3,6,8}}=>[4,5,6,7,2,8,1,3]=>[1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0] [3,5,6,1,7,8,4,2]=>{{1,3,6,8},{2,5,7},{4}}=>[3,5,6,4,7,8,2,1]=>[1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0] [2,5,6,1,8,7,4,3]=>{{1,2,5,8},{3,6,7},{4}}=>[2,5,6,4,8,7,3,1]=>[1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0] [1,5,6,2,8,4,7,3]=>{{1},{2,5,8},{3,6},{4},{7}}=>[1,5,6,4,8,3,7,2]=>[1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0] [8,1,3,2,5,4,6,7]=>{{1,8},{2},{3},{4},{5},{6},{7}}=>[8,2,3,4,5,6,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,2,3,1,5,6,4,7]=>{{1,8},{2},{3},{4},{5},{6},{7}}=>[8,2,3,4,5,6,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [2,4,1,6,8,7,5,3]=>{{1,2,4,6,7},{3},{5,8}}=>[2,4,3,6,8,7,1,5]=>[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0] [5,2,7,8,1,6,3,4]=>{{1,5},{2},{3,7},{4,8},{6}}=>[5,2,7,8,1,6,3,4]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0] [5,1,7,3,4,8,6,2]=>{{1,5},{2},{3,7},{4},{6,8}}=>[5,2,7,4,1,8,3,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0] [5,1,7,8,2,3,6,4]=>{{1,5},{2},{3,7},{4,8},{6}}=>[5,2,7,8,1,6,3,4]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0] [3,1,4,5,7,8,6,2]=>{{1,3,4,5,7},{2},{6,8}}=>[3,2,4,5,7,8,1,6]=>[1,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0] [8,2,1,3,4,6,5,7]=>{{1,8},{2},{3},{4},{5},{6},{7}}=>[8,2,3,4,5,6,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,8,2,3,4,5,7,6]=>{{1},{2,8},{3},{4},{5},{6},{7}}=>[1,8,3,4,5,6,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,2,8,3,4,6,7,5]=>{{1},{2},{3,8},{4},{5},{6},{7}}=>[1,2,8,4,5,6,7,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,5,7,4,8,3,6,2]=>{{1},{2,5,8},{3,7},{4},{6}}=>[1,5,7,4,8,6,3,2]=>[1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0] [1,5,7,4,8,6,3,2]=>{{1},{2,5,8},{3,7},{4},{6}}=>[1,5,7,4,8,6,3,2]=>[1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0] [1,6,7,8,4,5,3,2]=>{{1},{2,6},{3,7},{4,8},{5}}=>[1,6,7,8,5,2,3,4]=>[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] [1,6,7,8,4,3,5,2]=>{{1},{2,6},{3,7},{4,8},{5}}=>[1,6,7,8,5,2,3,4]=>[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] [1,5,7,3,8,6,4,2]=>{{1},{2,5,8},{3,7},{4},{6}}=>[1,5,7,4,8,6,3,2]=>[1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0] [1,6,7,8,3,5,4,2]=>{{1},{2,6},{3,7},{4,8},{5}}=>[1,6,7,8,5,2,3,4]=>[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] [1,6,7,8,5,3,4,2]=>{{1},{2,6},{3,7},{4,8},{5}}=>[1,6,7,8,5,2,3,4]=>[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] [6,5,2,8,4,7,3,1]=>{{1,6,7},{2,5},{3},{4,8}}=>[6,5,3,8,2,7,1,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] [6,3,4,5,8,7,2,1]=>{{1,6,7},{2,3,4,5,8}}=>[6,3,4,5,8,7,1,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] [3,8,4,7,5,2,1,6]=>{{1,3,4,7},{2,8},{5},{6}}=>[3,8,4,7,5,6,1,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] [5,6,1,4,8,7,3,2]=>{{1,5,8},{2,6,7},{3},{4}}=>[5,6,3,4,8,7,2,1]=>[1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0] [3,6,4,8,5,7,1,2]=>{{1,3,4,8},{2,6,7},{5}}=>[3,6,4,8,5,7,2,1]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0] [5,1,4,8,6,3,7,2]=>{{1,5,6},{2},{3,4,8},{7}}=>[5,2,4,8,6,1,7,3]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] [3,4,7,1,8,6,5,2]=>{{1,3,7},{2,4},{5,8},{6}}=>[3,4,7,2,8,6,1,5]=>[1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0] [6,3,8,4,2,7,1,5]=>{{1,6,7},{2,3,8},{4},{5}}=>[6,3,8,4,5,7,1,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] [3,6,8,7,1,4,2,5]=>{{1,3,8},{2,6},{4,7},{5}}=>[3,6,8,7,5,2,4,1]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0] [5,3,7,1,6,8,2,4]=>{{1,5,6,8},{2,3,7},{4}}=>[5,3,7,4,6,8,2,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0] [5,8,1,7,6,2,4,3]=>{{1,5,6},{2,8},{3},{4,7}}=>[5,8,3,7,6,1,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] [4,6,1,2,7,8,5,3]=>{{1,4},{2,6,8},{3},{5,7}}=>[4,6,3,1,7,8,5,2]=>[1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0] [5,4,2,7,3,6,8,1]=>{{1,5},{2,4,7,8},{3},{6}}=>[5,4,3,7,1,6,8,2]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0] [7,5,3,6,4,2,8,1]=>{{1,7,8},{2,5},{3},{4,6}}=>[7,5,3,6,2,4,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] [8,5,2,6,4,7,3,1]=>{{1,8},{2,5},{3},{4,6,7}}=>[8,5,3,6,2,7,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [5,7,3,6,4,2,8,1]=>{{1,5},{2,7,8},{3},{4,6}}=>[5,7,3,6,1,4,8,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0] [3,7,6,4,5,2,8,1]=>{{1,3,6},{2,7,8},{4},{5}}=>[3,7,6,4,5,1,8,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0] [6,5,4,3,1,8,2,7]=>{{1,6,8},{2,5},{3,4},{7}}=>[6,5,4,3,2,8,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0] [8,6,5,4,2,7,3,1]=>{{1,8},{2,6,7},{3,5},{4}}=>[8,6,5,4,3,7,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,5,4,1,7,2,6,3]=>{{1,8},{2,5,7},{3,4},{6}}=>[8,5,4,3,7,6,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [5,7,4,2,1,8,3,6]=>{{1,5},{2,7},{3,4},{6,8}}=>[5,7,4,3,1,8,2,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0] [1,6,5,3,4,8,2,7]=>{{1},{2,6,8},{3,5},{4},{7}}=>[1,6,5,4,3,8,7,2]=>[1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] [5,4,6,3,1,8,2,7]=>{{1,5},{2,4},{3,6,8},{7}}=>[5,4,6,2,1,8,7,3]=>[1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0] [5,8,2,6,4,7,3,1]=>{{1,5},{2,8},{3},{4,6,7}}=>[5,8,3,6,1,7,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] [3,8,6,2,5,7,4,1]=>{{1,3,6,7},{2,8},{4},{5}}=>[3,8,6,4,5,7,1,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] [8,7,5,2,6,4,3,1]=>{{1,8},{2,7},{3,5,6},{4}}=>[8,7,5,4,6,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [3,8,6,1,7,4,5,2]=>{{1,3,6},{2,8},{4},{5,7}}=>[3,8,6,4,7,1,5,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] [4,2,8,5,7,3,6,1]=>{{1,4,5,7},{2},{3,8},{6}}=>[4,2,8,5,7,6,1,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] [7,3,1,5,8,4,2,6]=>{{1,7},{2,3},{4,5,8},{6}}=>[7,3,2,5,8,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] [5,4,2,7,1,8,3,6]=>{{1,5},{2,4,7},{3},{6,8}}=>[5,4,3,7,1,8,2,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0] [5,4,3,1,6,8,2,7]=>{{1,5,6,8},{2,4},{3},{7}}=>[5,4,3,2,6,8,7,1]=>[1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0] [6,5,2,8,7,3,4,1]=>{{1,6},{2,5,7},{3},{4,8}}=>[6,5,3,8,7,1,2,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] [6,5,1,8,7,4,2,3]=>{{1,6},{2,5,7},{3},{4,8}}=>[6,5,3,8,7,1,2,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] [8,6,4,7,5,3,2,1]=>{{1,8},{2,6},{3,4,7},{5}}=>[8,6,4,7,5,2,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [5,4,8,1,7,2,6,3]=>{{1,5,7},{2,4},{3,8},{6}}=>[5,4,8,2,7,6,1,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0] [3,6,8,2,4,7,5,1]=>{{1,3,8},{2,6,7},{4},{5}}=>[3,6,8,4,5,7,2,1]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0] [4,7,2,8,6,3,5,1]=>{{1,4,8},{2,7},{3},{5,6}}=>[4,7,3,8,6,5,2,1]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0] [3,6,8,1,7,2,5,4]=>{{1,3,8},{2,6},{4},{5,7}}=>[3,6,8,4,7,2,5,1]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0] [1,2,8,7,6,3,4,5]=>{{1},{2},{3,8},{4,7},{5,6}}=>[1,2,8,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,5,8,3,7,6,2,4]=>{{1},{2,5,7},{3,8},{4},{6}}=>[1,5,8,4,7,6,2,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] [6,8,4,7,5,3,2,1]=>{{1,6},{2,8},{3,4,7},{5}}=>[6,8,4,7,5,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] [3,8,7,6,4,5,2,1]=>{{1,3,7},{2,8},{4,6},{5}}=>[3,8,7,6,5,4,1,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] [2,8,7,6,5,3,4,1]=>{{1,2,8},{3,7},{4,6},{5}}=>[2,8,7,6,5,4,3,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,8,7,6,5,4,2,3]=>{{1},{2,8},{3,7},{4,6},{5}}=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] [5,8,6,7,3,4,1,2]=>{{1,5},{2,8},{3,6},{4,7}}=>[5,8,6,7,1,3,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] [4,8,6,7,3,5,1,2]=>{{1,4,7},{2,8},{3,6},{5}}=>[4,8,6,7,5,3,1,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] [3,8,6,7,4,5,1,2]=>{{1,3,6},{2,8},{4,7},{5}}=>[3,8,6,7,5,1,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] [2,8,6,7,4,5,1,3]=>{{1,2,8},{3,6},{4,7},{5}}=>[2,8,6,7,5,3,4,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,8,5,7,4,6,2,3]=>{{1},{2,8},{3,5},{4,7},{6}}=>[1,8,5,7,3,6,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] [3,8,5,7,4,6,1,2]=>{{1,3,5},{2,8},{4,7},{6}}=>[3,8,5,7,1,6,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] [4,8,5,7,3,6,1,2]=>{{1,4,7},{2,8},{3,5},{6}}=>[4,8,5,7,3,6,1,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] [3,7,4,8,5,6,1,2]=>{{1,3,4,8},{2,7},{5},{6}}=>[3,7,4,8,5,6,2,1]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0] [2,7,4,8,5,6,1,3]=>{{1,2,7},{3,4,8},{5},{6}}=>[2,7,4,8,5,6,1,3]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0] [3,8,4,7,2,6,1,5]=>{{1,3,4,7},{2,8},{5},{6}}=>[3,8,4,7,5,6,1,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] [4,8,5,7,2,6,1,3]=>{{1,4,7},{2,8},{3,5},{6}}=>[4,8,5,7,3,6,1,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] [3,8,5,7,2,6,1,4]=>{{1,3,5},{2,8},{4,7},{6}}=>[3,8,5,7,1,6,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] [2,8,5,7,3,6,1,4]=>{{1,2,8},{3,5},{4,7},{6}}=>[2,8,5,7,3,6,4,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,8,5,7,3,6,2,4]=>{{1},{2,8},{3,5},{4,7},{6}}=>[1,8,5,7,3,6,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] [2,8,6,7,3,5,1,4]=>{{1,2,8},{3,6},{4,7},{5}}=>[2,8,6,7,5,3,4,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] [3,8,6,7,2,5,1,4]=>{{1,3,6},{2,8},{4,7},{5}}=>[3,8,6,7,5,1,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] [4,8,6,7,2,5,1,3]=>{{1,4,7},{2,8},{3,6},{5}}=>[4,8,6,7,5,3,1,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] [5,8,6,7,2,4,1,3]=>{{1,5},{2,8},{3,6},{4,7}}=>[5,8,6,7,1,3,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] [6,8,5,7,1,4,2,3]=>{{1,6},{2,8},{3,5},{4,7}}=>[6,8,5,7,3,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] [5,8,6,7,1,4,2,3]=>{{1,5},{2,8},{3,6},{4,7}}=>[5,8,6,7,1,3,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] [4,8,6,7,1,5,2,3]=>{{1,4,7},{2,8},{3,6},{5}}=>[4,8,6,7,5,3,1,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] [3,8,6,7,1,5,2,4]=>{{1,3,6},{2,8},{4,7},{5}}=>[3,8,6,7,5,1,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] [1,5,2,8,6,7,3,4]=>{{1},{2,5,6,7},{3},{4,8}}=>[1,5,3,8,6,7,2,4]=>[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0] [3,8,5,7,1,6,2,4]=>{{1,3,5},{2,8},{4,7},{6}}=>[3,8,5,7,1,6,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] [6,8,4,7,1,5,2,3]=>{{1,6},{2,8},{3,4,7},{5}}=>[6,8,4,7,5,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] [7,8,4,6,1,5,2,3]=>{{1,7},{2,8},{3,4,6},{5}}=>[7,8,4,6,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] [3,8,4,7,1,6,2,5]=>{{1,3,4,7},{2,8},{5},{6}}=>[3,8,4,7,5,6,1,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] [3,7,2,6,1,8,4,5]=>{{1,3},{2,7},{4,6,8},{5}}=>[3,7,1,6,5,8,2,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0] [3,7,1,6,2,8,4,5]=>{{1,3},{2,7},{4,6,8},{5}}=>[3,7,1,6,5,8,2,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0] [4,8,1,6,2,7,3,5]=>{{1,4,6,7},{2,8},{3},{5}}=>[4,8,3,6,5,7,1,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] [5,8,1,6,2,7,3,4]=>{{1,5},{2,8},{3},{4,6,7}}=>[5,8,3,6,1,7,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] [6,8,2,5,1,7,3,4]=>{{1,6,7},{2,8},{3},{4,5}}=>[6,8,3,5,4,7,1,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] [5,8,2,6,1,7,3,4]=>{{1,5},{2,8},{3},{4,6,7}}=>[5,8,3,6,1,7,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] [4,8,2,6,1,7,3,5]=>{{1,4,6,7},{2,8},{3},{5}}=>[4,8,3,6,5,7,1,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] [2,7,3,6,1,8,4,5]=>{{1,2,7},{3},{4,6,8},{5}}=>[2,7,3,6,5,8,1,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0] [1,2,3,4,5,6,7,8,9]=>{{1},{2},{3},{4},{5},{6},{7},{8},{9}}=>[1,2,3,4,5,6,7,8,9]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] [1,2,3,4,5,6,8,9,7]=>{{1},{2},{3},{4},{5},{6},{7,8,9}}=>[1,2,3,4,5,6,8,9,7]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] [1,3,4,5,6,7,8,9,2]=>{{1},{2,3,4,5,6,7,8,9}}=>[1,3,4,5,6,7,8,9,2]=>[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [1,2,3,4,5,6,7,8,9,10]=>{{1},{2},{3},{4},{5},{6},{7},{8},{9},{10}}=>[1,2,3,4,5,6,7,8,9,10]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] [1,2,3,4,5,6,9,8,7]=>{{1},{2},{3},{4},{5},{6},{7,9},{8}}=>[1,2,3,4,5,6,9,8,7]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] [1,4,3,5,6,7,8,9,2]=>{{1},{2,4,5,6,7,8,9},{3}}=>[1,4,3,5,6,7,8,9,2]=>[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] [3,2,4,5,6,7,8,9,1]=>{{1,3,4,5,6,7,8,9},{2}}=>[3,2,4,5,6,7,8,9,1]=>[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [1,3,4,5,6,7,8,9,10,2]=>{{1},{2,3,4,5,6,7,8,9,10}}=>[1,3,4,5,6,7,8,9,10,2]=>[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [6,7,4,8,3,5,1,2]=>{{1,6},{2,7},{3,4,8},{5}}=>[6,7,4,8,5,1,2,3]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0] [5,7,4,6,3,8,1,2]=>{{1,5},{2,7},{3,4,6,8}}=>[5,7,4,6,1,8,2,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0] [5,7,4,8,3,6,1,2]=>{{1,5},{2,7},{3,4,8},{6}}=>[5,7,4,8,1,6,2,3]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0] [5,6,3,7,2,8,1,4]=>{{1,5},{2,6,8},{3},{4,7}}=>[5,6,3,7,1,8,4,2]=>[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] [5,6,3,8,2,7,1,4]=>{{1,5},{2,6,7},{3},{4,8}}=>[5,6,3,8,1,7,2,4]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0] [7,8,4,5,2,6,1,3]=>{{1,7},{2,8},{3,4,5},{6}}=>[7,8,4,5,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] [6,8,4,5,2,3,1,7]=>{{1,6},{2,8},{3,4,5},{7}}=>[6,8,4,5,3,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] [5,8,4,6,2,3,1,7]=>{{1,5},{2,8},{3,4,6},{7}}=>[5,8,4,6,1,3,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] [5,6,4,8,2,3,1,7]=>{{1,5},{2,6},{3,4,8},{7}}=>[5,6,4,8,1,2,7,3]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0] [5,6,3,8,2,4,1,7]=>{{1,5},{2,6},{3},{4,8},{7}}=>[5,6,3,8,1,2,7,4]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0] [4,6,3,5,2,8,1,7]=>{{1,4,5},{2,6,8},{3},{7}}=>[4,6,3,5,1,8,7,2]=>[1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0] [5,8,3,6,2,7,1,4]=>{{1,5},{2,8},{3},{4,6,7}}=>[5,8,3,6,1,7,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] [4,8,3,6,2,7,1,5]=>{{1,4,6,7},{2,8},{3},{5}}=>[4,8,3,6,5,7,1,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] [4,6,3,8,2,7,1,5]=>{{1,4,8},{2,6,7},{3},{5}}=>[4,6,3,8,5,7,2,1]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0] [4,6,3,7,2,8,1,5]=>{{1,4,7},{2,6,8},{3},{5}}=>[4,6,3,7,5,8,1,2]=>[1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0] [4,7,3,6,2,5,1,8]=>{{1,4,6},{2,7},{3},{5},{8}}=>[4,7,3,6,5,1,2,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] [4,7,3,6,2,8,1,5]=>{{1,4,6,8},{2,7},{3},{5}}=>[4,7,3,6,5,8,2,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0] [5,7,4,8,2,6,1,3]=>{{1,5},{2,7},{3,4,8},{6}}=>[5,7,4,8,1,6,2,3]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0] [5,7,3,6,2,8,1,4]=>{{1,5},{2,7},{3},{4,6,8}}=>[5,7,3,6,1,8,2,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0] [6,7,3,5,2,8,1,4]=>{{1,6,8},{2,7},{3},{4,5}}=>[6,7,3,5,4,8,2,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0] [6,7,4,8,2,5,1,3]=>{{1,6},{2,7},{3,4,8},{5}}=>[6,7,4,8,5,1,2,3]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0] [6,7,5,8,2,4,1,3]=>{{1,6},{2,7},{3,5},{4,8}}=>[6,7,5,8,3,1,2,4]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0] [6,8,5,7,2,3,1,4]=>{{1,6},{2,8},{3,5},{4,7}}=>[6,8,5,7,3,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] [6,7,4,8,2,3,1,5]=>{{1,6},{2,7},{3,4,8},{5}}=>[6,7,4,8,5,1,2,3]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0] [5,7,4,8,2,3,1,6]=>{{1,5},{2,7},{3,4,8},{6}}=>[5,7,4,8,1,6,2,3]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0] [5,8,4,7,2,3,1,6]=>{{1,5},{2,8},{3,4,7},{6}}=>[5,8,4,7,1,6,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] [6,8,4,7,2,3,1,5]=>{{1,6},{2,8},{3,4,7},{5}}=>[6,8,4,7,5,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] [7,8,4,6,2,3,1,5]=>{{1,7},{2,8},{3,4,6},{5}}=>[7,8,4,6,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] [4,7,3,5,2,8,1,6]=>{{1,4,5},{2,7},{3},{6,8}}=>[4,7,3,5,1,8,2,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0] [4,5,3,7,2,6,1,8]=>{{1,4,7},{2,5},{3},{6},{8}}=>[4,5,3,7,2,6,1,8]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0] [4,5,3,7,2,8,1,6]=>{{1,4,7},{2,5},{3},{6,8}}=>[4,5,3,7,2,8,1,6]=>[1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0] [4,5,3,8,2,7,1,6]=>{{1,4,8},{2,5},{3},{6,7}}=>[4,5,3,8,2,7,6,1]=>[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0] [6,8,3,4,2,7,1,5]=>{{1,6,7},{2,8},{3},{4},{5}}=>[6,8,3,4,5,7,1,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] [7,8,3,4,2,6,1,5]=>{{1,7},{2,8},{3},{4},{5},{6}}=>[7,8,3,4,5,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] [6,8,3,4,2,5,1,7]=>{{1,6},{2,8},{3},{4},{5},{7}}=>[6,8,3,4,5,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] [4,5,3,6,2,8,1,7]=>{{1,4,6,8},{2,5},{3},{7}}=>[4,5,3,6,2,8,7,1]=>[1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0] [4,7,5,2,1,8,3,6]=>{{1,4},{2,7},{3,5},{6,8}}=>[4,7,5,1,3,8,2,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0] [4,8,5,2,1,7,6,3]=>{{1,4},{2,8},{3,5},{6,7}}=>[4,8,5,1,3,7,6,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] [4,6,5,2,1,3,8,7]=>{{1,4},{2,6},{3,5},{7,8}}=>[4,6,5,1,3,2,8,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0] [5,6,4,2,3,1,8,7]=>{{1,5},{2,6},{3,4},{7,8}}=>[5,6,4,3,1,2,8,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0] [6,4,5,3,1,2,8,7]=>{{1,6},{2,4},{3,5},{7,8}}=>[6,4,5,2,3,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] [5,4,6,1,3,2,8,7]=>{{1,5},{2,4},{3,6},{7,8}}=>[5,4,6,2,1,3,8,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0] [4,6,8,1,7,3,2,5]=>{{1,4},{2,6},{3,8},{5,7}}=>[4,6,8,1,7,2,5,3]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] [4,7,8,1,6,3,5,2]=>{{1,4},{2,7},{3,8},{5,6}}=>[4,7,8,1,6,5,2,3]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0] [7,4,8,1,6,5,3,2]=>{{1,7},{2,4},{3,8},{5,6}}=>[7,4,8,2,6,5,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] [5,4,8,1,3,7,6,2]=>{{1,5},{2,4},{3,8},{6,7}}=>[5,4,8,2,1,7,6,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0] [8,4,5,3,1,7,6,2]=>{{1,8},{2,4},{3,5},{6,7}}=>[8,4,5,2,3,7,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [5,4,7,1,3,8,2,6]=>{{1,5},{2,4},{3,7},{6,8}}=>[5,4,7,2,1,8,3,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0] [6,4,8,1,7,5,2,3]=>{{1,6},{2,4},{3,8},{5,7}}=>[6,4,8,2,7,1,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] [5,6,8,7,2,1,3,4]=>{{1,5},{2,6},{3,8},{4,7}}=>[5,6,8,7,1,2,4,3]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0] [8,5,7,6,4,2,1,3]=>{{1,8},{2,5},{3,7},{4,6}}=>[8,5,7,6,2,4,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,4,6,3,7,2,1,5]=>{{1,8},{2,4},{3,6},{5,7}}=>[8,4,6,2,7,3,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [6,3,2,8,7,4,1,5]=>{{1,6},{2,3},{4,8},{5,7}}=>[6,3,2,8,7,1,5,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] [2,1,6,8,7,4,3,5]=>{{1,2},{3,6},{4,8},{5,7}}=>[2,1,6,8,7,3,5,4]=>[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0] [2,1,7,8,6,4,5,3]=>{{1,2},{3,7},{4,8},{5,6}}=>[2,1,7,8,6,5,3,4]=>[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] [7,3,2,8,6,4,5,1]=>{{1,7},{2,3},{4,8},{5,6}}=>[7,3,2,8,6,5,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] [7,6,8,5,2,4,3,1]=>{{1,7},{2,6},{3,8},{4,5}}=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] [5,7,8,6,2,3,1,4]=>{{1,5},{2,7},{3,8},{4,6}}=>[5,7,8,6,1,4,2,3]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0] [5,8,7,6,3,2,1,4]=>{{1,5},{2,8},{3,7},{4,6}}=>[5,8,7,6,1,4,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] [6,8,7,5,3,2,4,1]=>{{1,6},{2,8},{3,7},{4,5}}=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] [5,8,4,2,3,7,6,1]=>{{1,5},{2,8},{3,4},{6,7}}=>[5,8,4,3,1,7,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] [7,8,4,2,6,5,3,1]=>{{1,7},{2,8},{3,4},{5,6}}=>[7,8,4,3,6,5,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] [4,8,7,2,6,3,5,1]=>{{1,4},{2,8},{3,7},{5,6}}=>[4,8,7,1,6,5,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] [4,8,6,2,7,3,1,5]=>{{1,4},{2,8},{3,6},{5,7}}=>[4,8,6,1,7,3,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] [3,6,1,8,7,4,2,5]=>{{1,3},{2,6},{4,8},{5,7}}=>[3,6,1,8,7,2,5,4]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0] [3,7,1,8,6,4,5,2]=>{{1,3},{2,7},{4,8},{5,6}}=>[3,7,1,8,6,5,2,4]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0] [3,8,1,6,7,5,2,4]=>{{1,3},{2,8},{4,6},{5,7}}=>[3,8,1,6,7,4,5,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] [3,7,1,6,8,2,5,4]=>{{1,3},{2,7},{4,6},{5,8}}=>[3,7,1,6,8,4,2,5]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0] [4,7,6,2,8,1,3,5]=>{{1,4},{2,7},{3,6},{5,8}}=>[4,7,6,1,8,3,2,5]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0] [6,7,4,2,8,1,5,3]=>{{1,6},{2,7},{3,4},{5,8}}=>[6,7,4,3,8,1,2,5]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0] [6,8,4,2,7,5,1,3]=>{{1,6},{2,8},{3,4},{5,7}}=>[6,8,4,3,7,1,5,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] [2,1,8,6,7,5,3,4]=>{{1,2},{3,8},{4,6},{5,7}}=>[2,1,8,6,7,4,5,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] [8,3,2,6,7,5,1,4]=>{{1,8},{2,3},{4,6},{5,7}}=>[8,3,2,6,7,4,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,6,4,3,7,5,1,2]=>{{1,8},{2,6},{3,4},{5,7}}=>[8,6,4,3,7,2,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [5,8,6,7,3,1,2,4]=>{{1,5},{2,8},{3,6},{4,7}}=>[5,8,6,7,1,3,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] [6,7,5,8,1,3,4,2]=>{{1,6},{2,7},{3,5},{4,8}}=>[6,7,5,8,3,1,2,4]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0] [7,6,5,8,1,4,3,2]=>{{1,7},{2,6},{3,5},{4,8}}=>[7,6,5,8,3,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] [8,6,5,7,4,1,3,2]=>{{1,8},{2,6},{3,5},{4,7}}=>[8,6,5,7,3,2,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [7,6,4,3,8,1,5,2]=>{{1,7},{2,6},{3,4},{5,8}}=>[7,6,4,3,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] [7,3,2,6,8,1,5,4]=>{{1,7},{2,3},{4,6},{5,8}}=>[7,3,2,6,8,4,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] [2,1,7,6,8,3,5,4]=>{{1,2},{3,7},{4,6},{5,8}}=>[2,1,7,6,8,4,3,5]=>[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0] [7,5,6,8,1,4,2,3]=>{{1,7},{2,5},{3,6},{4,8}}=>[7,5,6,8,2,3,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] [6,5,7,8,1,2,4,3]=>{{1,6},{2,5},{3,7},{4,8}}=>[6,5,7,8,2,1,3,4]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0] [6,2,7,5,4,8,3,1]=>{{1,6,8},{2},{3,7},{4,5}}=>[6,2,7,5,4,8,3,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0] [6,1,8,3,4,5,7,2]=>{{1,6},{2},{3,8},{4},{5},{7}}=>[6,2,8,4,5,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] [8,1,3,4,5,6,7,2]=>{{1,8},{2},{3},{4},{5},{6},{7}}=>[8,2,3,4,5,6,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [6,3,2,7,5,1,8,4]=>{{1,6},{2,3},{4,7,8},{5}}=>[6,3,2,7,5,1,8,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0] [8,5,2,1,4,3,7,6]=>{{1,8},{2,5},{3},{4},{6},{7}}=>[8,5,3,4,2,6,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [4,3,1,2,6,8,5,7]=>{{1,4},{2,3},{5,6,8},{7}}=>[4,3,2,1,6,8,7,5]=>[1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0] [3,8,6,7,2,1,5,4]=>{{1,3,6},{2,8},{4,7},{5}}=>[3,8,6,7,5,1,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] [6,1,2,3,8,5,7,4]=>{{1,6},{2},{3},{4},{5,8},{7}}=>[6,2,3,4,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] [5,2,7,3,1,8,4,6]=>{{1,5},{2},{3,7},{4},{6,8}}=>[5,2,7,4,1,8,3,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0] [3,5,8,7,2,4,1,6]=>{{1,3,8},{2,5},{4,7},{6}}=>[3,5,8,7,2,6,4,1]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0] [2,4,1,3,8,7,5,6]=>{{1,2,4},{3},{5,8},{6,7}}=>[2,4,3,1,8,7,6,5]=>[1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0] [2,5,8,3,1,7,4,6]=>{{1,2,5},{3,8},{4},{6,7}}=>[2,5,8,4,1,7,6,3]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0] [6,8,2,3,4,1,5,7]=>{{1,6},{2,8},{3},{4},{5},{7}}=>[6,8,3,4,5,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] [9,8,7,6,5,4,3,2,1,10]=>{{1,9},{2,8},{3,7},{4,6},{5},{10}}=>[9,8,7,6,5,4,3,2,1,10]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] [1,4,2,7,8,6,3,5]=>{{1},{2,4,7},{3},{5,8},{6}}=>[1,4,3,7,8,6,2,5]=>[1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0] [4,2,5,7,8,6,1,3]=>{{1,4,7},{2},{3,5,8},{6}}=>[4,2,5,7,8,6,1,3]=>[1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0] [6,2,8,3,5,1,7,4]=>{{1,6},{2},{3,8},{4},{5},{7}}=>[6,2,8,4,5,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] [6,2,4,8,5,7,1,3]=>{{1,6,7},{2},{3,4,8},{5}}=>[6,2,4,8,5,7,1,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] [1,3,6,4,8,5,7,2]=>{{1},{2,3,6},{4},{5,8},{7}}=>[1,3,6,4,8,2,7,5]=>[1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0] [1,3,6,4,7,5,8,2]=>{{1},{2,3,6},{4},{5,7,8}}=>[1,3,6,4,7,2,8,5]=>[1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0] [6,2,4,7,5,8,1,3]=>{{1,6,8},{2},{3,4,7},{5}}=>[6,2,4,7,5,8,3,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0] [7,8,2,1,4,3,5,6]=>{{1,7},{2,8},{3},{4},{5},{6}}=>[7,8,3,4,5,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] [7,6,4,2,3,1,8,5]=>{{1,7,8},{2,6},{3,4},{5}}=>[7,6,4,3,5,2,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] [7,5,4,2,6,8,1,3]=>{{1,7},{2,5,6,8},{3,4}}=>[7,5,4,3,6,8,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] [1,2,8,4,3,5,6,7]=>{{1},{2},{3,8},{4},{5},{6},{7}}=>[1,2,8,4,5,6,7,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,6,3,8,2,4,7,5]=>{{1},{2,6},{3},{4,8},{5},{7}}=>[1,6,3,8,5,2,7,4]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] [5,3,8,1,2,7,4,6]=>{{1,5},{2,3,8},{4},{6,7}}=>[5,3,8,4,1,7,6,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0] [1,5,8,2,4,6,3,7]=>{{1},{2,5},{3,8},{4},{6},{7}}=>[1,5,8,4,2,6,7,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] [1,4,6,2,8,3,7,5]=>{{1},{2,4},{3,6},{5,8},{7}}=>[1,4,6,2,8,3,7,5]=>[1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0] [5,3,1,6,7,2,4,8]=>{{1,5,7},{2,3},{4,6},{8}}=>[5,3,2,6,7,4,1,8]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0] [5,3,6,1,2,8,4,7]=>{{1,5},{2,3,6,8},{4},{7}}=>[5,3,6,4,1,8,7,2]=>[1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0] [6,3,4,1,2,5,8,7]=>{{1,6},{2,3,4},{5},{7,8}}=>[6,3,4,2,5,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] [1,8,3,2,4,5,6,7]=>{{1},{2,8},{3},{4},{5},{6},{7}}=>[1,8,3,4,5,6,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] [8,5,3,2,6,7,1,4]=>{{1,8},{2,5,6,7},{3},{4}}=>[8,5,3,4,6,7,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [4,5,2,6,8,1,7,3]=>{{1,4,6},{2,5,8},{3},{7}}=>[4,5,3,6,8,1,7,2]=>[1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0] [4,2,5,6,7,8,1,3]=>{{1,4,6,8},{2},{3,5,7}}=>[4,2,5,6,7,8,3,1]=>[1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] [5,2,3,6,7,1,8,4]=>{{1,5,7,8},{2},{3},{4,6}}=>[5,2,3,6,7,4,8,1]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0] [6,2,3,4,1,7,8,5]=>{{1,6,7,8},{2},{3},{4},{5}}=>[6,2,3,4,5,7,8,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0] [7,2,3,1,4,5,8,6]=>{{1,7,8},{2},{3},{4},{5},{6}}=>[7,2,3,4,5,6,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] [3,7,5,1,8,2,4,6]=>{{1,3,5,8},{2,7},{4},{6}}=>[3,7,5,4,8,6,2,1]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0] [4,1,5,2,8,7,3,6]=>{{1,4},{2},{3,5,8},{6,7}}=>[4,2,5,1,8,7,6,3]=>[1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0] [8,1,2,5,4,6,3,7]=>{{1,8},{2},{3},{4,5},{6},{7}}=>[8,2,3,5,4,6,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,7,5,4,2,8,3,6]=>{{1},{2,7},{3,5},{4},{6,8}}=>[1,7,5,4,3,8,2,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0] [5,1,4,8,2,7,3,6]=>{{1,5},{2},{3,4,8},{6,7}}=>[5,2,4,8,1,7,6,3]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] [1,4,6,8,2,7,3,5]=>{{1},{2,4,8},{3,6,7},{5}}=>[1,4,6,8,5,7,3,2]=>[1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0] [1,4,7,6,2,8,3,5]=>{{1},{2,4,6,8},{3,7},{5}}=>[1,4,7,6,5,8,3,2]=>[1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0] [5,1,4,7,2,8,3,6]=>{{1,5},{2},{3,4,7},{6,8}}=>[5,2,4,7,1,8,3,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0] [3,7,5,1,2,8,4,6]=>{{1,3,5},{2,7},{4},{6,8}}=>[3,7,5,4,1,8,2,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0] [4,1,5,8,2,7,3,6]=>{{1,4,8},{2},{3,5},{6,7}}=>[4,2,5,8,3,7,6,1]=>[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0] [1,4,6,2,8,7,3,5]=>{{1},{2,4},{3,6,7},{5,8}}=>[1,4,6,2,8,7,3,5]=>[1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0] [1,4,2,8,6,7,3,5]=>{{1},{2,4,8},{3},{5,6,7}}=>[1,4,3,8,6,7,5,2]=>[1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] [3,1,2,6,4,8,7,5]=>{{1,3},{2},{4,6,8},{5},{7}}=>[3,2,1,6,5,8,7,4]=>[1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0] [2,1,7,6,3,4,8,5]=>{{1,2},{3,7,8},{4,6},{5}}=>[2,1,7,6,5,4,8,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0] [1,4,7,2,6,8,3,5]=>{{1},{2,4},{3,7},{5,6,8}}=>[1,4,7,2,6,8,3,5]=>[1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0] [1,2,3,6,8,5,7,4]=>{{1},{2},{3},{4,6},{5,8},{7}}=>[1,2,3,6,8,4,7,5]=>[1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0] [5,1,4,2,7,8,3,6]=>{{1,5,7},{2},{3,4},{6,8}}=>[5,2,4,3,7,8,1,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0] [1,4,2,7,6,8,3,5]=>{{1},{2,4,7},{3},{5,6,8}}=>[1,4,3,7,6,8,2,5]=>[1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0] [1,4,2,6,8,7,3,5]=>{{1},{2,4,6,7},{3},{5,8}}=>[1,4,3,6,8,7,2,5]=>[1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0] [3,1,2,7,6,4,8,5]=>{{1,3},{2},{4,7,8},{5,6}}=>[3,2,1,7,6,5,8,4]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0] [5,3,7,1,8,2,4,6]=>{{1,5,8},{2,3,7},{4},{6}}=>[5,3,7,4,8,6,2,1]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0] [1,4,2,7,8,3,6,5]=>{{1},{2,4,7},{3},{5,8},{6}}=>[1,4,3,7,8,6,2,5]=>[1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0] [1,2,3,7,8,5,6,4]=>{{1},{2},{3},{4,7},{5,8},{6}}=>[1,2,3,7,8,6,4,5]=>[1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] [10,1,2,3,4,5,6,7,8,9]=>{{1,10},{2},{3},{4},{5},{6},{7},{8},{9}}=>[10,2,3,4,5,6,7,8,9,1]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] [11,1,2,3,4,5,6,7,8,9,10]=>{{1,11},{2},{3},{4},{5},{6},{7},{8},{9},{10}}=>[11,2,3,4,5,6,7,8,9,10,1]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0] [5,6,3,8,2,1,4,7]=>{{1,5},{2,6},{3},{4,8},{7}}=>[5,6,3,8,1,2,7,4]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0] [3,6,4,8,2,5,1,7]=>{{1,3,4,8},{2,6},{5},{7}}=>[3,6,4,8,5,2,7,1]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0] [2,6,4,8,3,5,7,1]=>{{1,2,6},{3,4,8},{5},{7}}=>[2,6,4,8,5,1,7,3]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0] [3,6,4,7,2,5,1,8]=>{{1,3,4,7},{2,6},{5},{8}}=>[3,6,4,7,5,2,1,8]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0] [4,6,3,7,2,1,5,8]=>{{1,4,7},{2,6},{3},{5},{8}}=>[4,6,3,7,5,2,1,8]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0] [8,4,3,2,1,6,5,7]=>{{1,8},{2,4},{3},{5},{6},{7}}=>[8,4,3,2,5,6,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [4,5,3,2,7,1,6,8]=>{{1,4},{2,5,7},{3},{6},{8}}=>[4,5,3,1,7,6,2,8]=>[1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0] [8,4,3,2,1,7,5,6]=>{{1,8},{2,4},{3},{5},{6,7}}=>[8,4,3,2,5,7,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,4,3,2,1,7,6,5]=>{{1,8},{2,4},{3},{5},{6,7}}=>[8,4,3,2,5,7,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [5,6,3,8,2,1,7,4]=>{{1,5},{2,6},{3},{4,8},{7}}=>[5,6,3,8,1,2,7,4]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0] [8,5,4,2,7,6,1,3]=>{{1,8},{2,5,7},{3,4},{6}}=>[8,5,4,3,7,6,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [6,5,4,2,8,7,1,3]=>{{1,6,7},{2,5,8},{3,4}}=>[6,5,4,3,8,7,1,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] [4,6,5,8,7,2,1,3]=>{{1,4,8},{2,6},{3,5,7}}=>[4,6,5,8,7,2,3,1]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0] [6,5,4,2,7,8,1,3]=>{{1,6,8},{2,5,7},{3,4}}=>[6,5,4,3,7,8,2,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0] [7,5,3,2,6,1,8,4]=>{{1,7,8},{2,5,6},{3},{4}}=>[7,5,3,4,6,2,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] [4,6,3,7,2,1,8,5]=>{{1,4,7,8},{2,6},{3},{5}}=>[4,6,3,7,5,2,8,1]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0] [3,6,4,7,2,8,1,5]=>{{1,3,4,7},{2,6,8},{5}}=>[3,6,4,7,5,8,1,2]=>[1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0] [4,5,3,2,7,1,8,6]=>{{1,4},{2,5,7,8},{3},{6}}=>[4,5,3,1,7,6,8,2]=>[1,1,1,1,0,1,0,0,0,1,1,0,0,1,0,0] [8,4,3,2,1,6,7,5]=>{{1,8},{2,4},{3},{5},{6},{7}}=>[8,4,3,2,5,6,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,4,3,2,1,5,7,6]=>{{1,8},{2,4},{3},{5},{6},{7}}=>[8,4,3,2,5,6,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [3,2,6,4,8,5,1,7]=>{{1,3,6},{2},{4},{5,8},{7}}=>[3,2,6,4,8,1,7,5]=>[1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0] [4,5,2,3,7,1,6,8]=>{{1,4},{2,5,7},{3},{6},{8}}=>[4,5,3,1,7,6,2,8]=>[1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0] [3,1,5,4,2,8,6,7]=>{{1,3,5},{2},{4},{6,8},{7}}=>[3,2,5,4,1,8,7,6]=>[1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0] [4,3,8,5,2,1,6,7]=>{{1,4,5},{2,3,8},{6},{7}}=>[4,3,8,5,1,6,7,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] [4,5,1,7,3,2,6,8]=>{{1,4,7},{2,5},{3},{6},{8}}=>[4,5,3,7,2,6,1,8]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0] [4,5,1,3,7,2,6,8]=>{{1,4},{2,5,7},{3},{6},{8}}=>[4,5,3,1,7,6,2,8]=>[1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0] [5,3,1,4,2,7,6,8]=>{{1,5},{2,3},{4},{6,7},{8}}=>[5,3,2,4,1,7,6,8]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0] [4,3,1,5,7,2,6,8]=>{{1,4,5,7},{2,3},{6},{8}}=>[4,3,2,5,7,6,1,8]=>[1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0] [4,3,6,1,7,2,5,8]=>{{1,4},{2,3,6},{5,7},{8}}=>[4,3,6,1,7,2,5,8]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0] [3,6,4,1,2,7,5,8]=>{{1,3,4},{2,6,7},{5},{8}}=>[3,6,4,1,5,7,2,8]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0] [4,5,2,7,3,1,6,8]=>{{1,4,7},{2,5},{3},{6},{8}}=>[4,5,3,7,2,6,1,8]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0] [7,3,1,4,6,8,2,5]=>{{1,7},{2,3},{4},{5,6,8}}=>[7,3,2,4,6,8,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] [4,2,6,1,5,3,7,8]=>{{1,4},{2},{3,6},{5},{7},{8}}=>[4,2,6,1,5,3,7,8]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0] [7,3,1,5,2,6,4,8]=>{{1,7},{2,3},{4,5},{6},{8}}=>[7,3,2,5,4,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] [6,2,5,1,3,7,8,4]=>{{1,6,7,8},{2},{3,5},{4}}=>[6,2,5,4,3,7,8,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0] [6,3,5,1,2,7,4,8]=>{{1,6,7},{2,3,5},{4},{8}}=>[6,3,5,4,2,7,1,8]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0] [6,4,5,1,7,2,3,8]=>{{1,6},{2,4},{3,5,7},{8}}=>[6,4,5,2,7,1,3,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0] [4,6,5,1,7,2,3,8]=>{{1,4},{2,6},{3,5,7},{8}}=>[4,6,5,1,7,2,3,8]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0] [3,6,5,1,2,7,4,8]=>{{1,3,5},{2,6,7},{4},{8}}=>[3,6,5,4,1,7,2,8]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0] [6,5,2,1,4,7,8,3]=>{{1,6,7,8},{2,5},{3},{4}}=>[6,5,3,4,2,7,8,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0] [3,4,5,1,2,8,7,6]=>{{1,3,5},{2,4},{6,8},{7}}=>[3,4,5,2,1,8,7,6]=>[1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0] [2,4,8,5,3,1,7,6]=>{{1,2,4,5},{3,8},{6},{7}}=>[2,4,8,5,1,6,7,3]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0] [3,4,5,8,2,1,7,6]=>{{1,3,5},{2,4,8},{6},{7}}=>[3,4,5,8,1,6,7,2]=>[1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0] [3,5,6,2,7,8,1,4]=>{{1,3,6,8},{2,5,7},{4}}=>[3,5,6,4,7,8,2,1]=>[1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0] [3,4,6,2,8,7,1,5]=>{{1,3,6,7},{2,4},{5,8}}=>[3,4,6,2,8,7,1,5]=>[1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0] [3,4,6,8,2,7,1,5]=>{{1,3,6,7},{2,4,8},{5}}=>[3,4,6,8,5,7,1,2]=>[1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0] [2,4,8,6,3,7,1,5]=>{{1,2,4,6,7},{3,8},{5}}=>[2,4,8,6,5,7,1,3]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0] [1,8,4,6,3,7,2,5]=>{{1},{2,8},{3,4,6,7},{5}}=>[1,8,4,6,5,7,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,8,4,6,3,7,5,2]=>{{1},{2,8},{3,4,6,7},{5}}=>[1,8,4,6,5,7,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] [3,4,6,8,2,7,5,1]=>{{1,3,6,7},{2,4,8},{5}}=>[3,4,6,8,5,7,1,2]=>[1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0] [3,4,6,2,8,7,5,1]=>{{1,3,6,7},{2,4},{5,8}}=>[3,4,6,2,8,7,1,5]=>[1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0] [3,5,6,2,7,8,4,1]=>{{1,3,6,8},{2,5,7},{4}}=>[3,5,6,4,7,8,2,1]=>[1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0] [4,5,6,7,2,8,3,1]=>{{1,4,7},{2,5},{3,6,8}}=>[4,5,6,7,2,8,1,3]=>[1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0] [3,5,6,8,7,2,4,1]=>{{1,3,6},{2,5,7},{4,8}}=>[3,5,6,8,7,1,2,4]=>[1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0] [2,5,8,6,7,3,4,1]=>{{1,2,5,7},{3,8},{4,6}}=>[2,5,8,6,7,4,1,3]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0] [1,8,5,6,7,3,4,2]=>{{1},{2,8},{3,5,7},{4,6}}=>[1,8,5,6,7,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,8,5,6,7,3,2,4]=>{{1},{2,8},{3,5,7},{4,6}}=>[1,8,5,6,7,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] [2,5,8,6,7,3,1,4]=>{{1,2,5,7},{3,8},{4,6}}=>[2,5,8,6,7,4,1,3]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0] [3,5,6,8,7,2,1,4]=>{{1,3,6},{2,5,7},{4,8}}=>[3,5,6,8,7,1,2,4]=>[1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0] [4,5,6,7,2,1,8,3]=>{{1,4,7,8},{2,5},{3,6}}=>[4,5,6,7,2,3,8,1]=>[1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0] [3,4,6,1,8,7,2,5]=>{{1,3,6,7},{2,4},{5,8}}=>[3,4,6,2,8,7,1,5]=>[1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0] [2,4,1,6,8,7,3,5]=>{{1,2,4,6,7},{3},{5,8}}=>[2,4,3,6,8,7,1,5]=>[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0] [2,3,1,8,6,7,4,5]=>{{1,2,3},{4,8},{5,6,7}}=>[2,3,1,8,6,7,5,4]=>[1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0] [1,8,3,2,6,7,5,4]=>{{1},{2,8},{3},{4},{5,6,7}}=>[1,8,3,4,6,7,5,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] [3,4,6,1,8,7,5,2]=>{{1,3,6,7},{2,4},{5,8}}=>[3,4,6,2,8,7,1,5]=>[1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0] [3,4,6,8,1,7,5,2]=>{{1,3,6,7},{2,4,8},{5}}=>[3,4,6,8,5,7,1,2]=>[1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0] [2,4,8,6,1,7,5,3]=>{{1,2,4,6,7},{3,8},{5}}=>[2,4,8,6,5,7,1,3]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0] [1,8,4,6,2,7,5,3]=>{{1},{2,8},{3,4,6,7},{5}}=>[1,8,4,6,5,7,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,8,5,6,7,2,4,3]=>{{1},{2,8},{3,5,7},{4,6}}=>[1,8,5,6,7,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] [2,5,8,6,7,1,4,3]=>{{1,2,5,7},{3,8},{4,6}}=>[2,5,8,6,7,4,1,3]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0] [3,5,6,8,7,1,4,2]=>{{1,3,6},{2,5,7},{4,8}}=>[3,5,6,8,7,1,2,4]=>[1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0] [4,5,6,7,8,1,3,2]=>{{1,4,7},{2,5,8},{3,6}}=>[4,5,6,7,8,3,1,2]=>[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] [4,5,6,7,1,3,8,2]=>{{1,4,7,8},{2,5},{3,6}}=>[4,5,6,7,2,3,8,1]=>[1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0] [4,5,6,7,1,3,2,8]=>{{1,4,7},{2,5},{3,6},{8}}=>[4,5,6,7,2,3,1,8]=>[1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0] [4,5,6,7,3,1,8,2]=>{{1,4,7,8},{2,5},{3,6}}=>[4,5,6,7,2,3,8,1]=>[1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0] [3,5,6,8,7,4,1,2]=>{{1,3,6},{2,5,7},{4,8}}=>[3,5,6,8,7,1,2,4]=>[1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0] [2,5,8,6,7,4,1,3]=>{{1,2,5,7},{3,8},{4,6}}=>[2,5,8,6,7,4,1,3]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0] [1,8,5,6,7,4,2,3]=>{{1},{2,8},{3,5,7},{4,6}}=>[1,8,5,6,7,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,8,5,6,7,4,3,2]=>{{1},{2,8},{3,5,7},{4,6}}=>[1,8,5,6,7,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] [2,5,8,6,7,4,3,1]=>{{1,2,5,7},{3,8},{4,6}}=>[2,5,8,6,7,4,1,3]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0] [3,6,8,2,4,7,1,5]=>{{1,3,8},{2,6,7},{4},{5}}=>[3,6,8,4,5,7,2,1]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0] [4,3,5,6,7,1,8,2]=>{{1,4,6},{2,3,5,7,8}}=>[4,3,5,6,7,1,8,2]=>[1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0] [3,7,1,5,6,8,2,4]=>{{1,3},{2,7},{4,5,6,8}}=>[3,7,1,5,6,8,2,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0] [3,2,5,1,7,4,6,8]=>{{1,3,5,7},{2},{4},{6},{8}}=>[3,2,5,4,7,6,1,8]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] [3,2,5,1,7,8,4,6]=>{{1,3,5,7},{2},{4},{6,8}}=>[3,2,5,4,7,8,1,6]=>[1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0] [7,8,3,2,4,6,1,5]=>{{1,7},{2,8},{3},{4},{5},{6}}=>[7,8,3,4,5,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] [5,7,6,1,8,3,4,2]=>{{1,5,8},{2,7},{3,6},{4}}=>[5,7,6,4,8,3,2,1]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0] [6,1,5,8,7,3,2,4]=>{{1,6},{2},{3,5,7},{4,8}}=>[6,2,5,8,7,1,3,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] [3,2,4,1,8,7,5,6]=>{{1,3,4},{2},{5,8},{6,7}}=>[3,2,4,1,8,7,6,5]=>[1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0] [3,2,5,1,6,8,7,4]=>{{1,3,5,6,8},{2},{4},{7}}=>[3,2,5,4,6,8,7,1]=>[1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0] [3,7,6,5,1,8,4,2]=>{{1,3,6,8},{2,7},{4,5}}=>[3,7,6,5,4,8,2,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0] [3,2,5,1,6,7,8,4]=>{{1,3,5,6,7,8},{2},{4}}=>[3,2,5,4,6,7,8,1]=>[1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0] [3,2,4,1,6,8,5,7]=>{{1,3,4},{2},{5,6,8},{7}}=>[3,2,4,1,6,8,7,5]=>[1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0] [8,4,2,3,7,5,1,6]=>{{1,8},{2,4},{3},{5,7},{6}}=>[8,4,3,2,7,6,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,4,6,1,7,3,5,2]=>{{1,8},{2,4},{3,6},{5,7}}=>[8,4,6,2,7,3,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [7,5,1,6,4,2,3,8]=>{{1,7},{2,5},{3},{4,6},{8}}=>[7,5,3,6,2,4,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] [3,2,5,1,7,6,4,8]=>{{1,3,5,7},{2},{4},{6},{8}}=>[3,2,5,4,7,6,1,8]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] [8,5,6,1,7,3,4,2]=>{{1,8},{2,5,7},{3,6},{4}}=>[8,5,6,4,7,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [3,2,4,1,5,8,6,7]=>{{1,3,4},{2},{5},{6,8},{7}}=>[3,2,4,1,5,8,7,6]=>[1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0] [3,2,5,1,7,8,6,4]=>{{1,3,5,7},{2},{4},{6,8}}=>[3,2,5,4,7,8,1,6]=>[1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0] [3,8,5,1,7,6,4,2]=>{{1,3,5,7},{2,8},{4},{6}}=>[3,8,5,4,7,6,1,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] [3,7,5,1,8,6,4,2]=>{{1,3,5,8},{2,7},{4},{6}}=>[3,7,5,4,8,6,2,1]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0] [8,7,5,1,6,4,2,3]=>{{1,8},{2,7},{3,5,6},{4}}=>[8,7,5,4,6,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [6,5,7,3,1,8,4,2]=>{{1,6,8},{2,5},{3,7},{4}}=>[6,5,7,4,2,8,3,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0] [4,6,3,7,1,8,5,2]=>{{1,4,7},{2,6,8},{3},{5}}=>[4,6,3,7,5,8,1,2]=>[1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0] [4,6,3,7,5,1,8,2]=>{{1,4,7,8},{2,6},{3},{5}}=>[4,6,3,7,5,2,8,1]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0] [2,5,7,4,1,6,8,3]=>{{1,2,5},{3,7,8},{4},{6}}=>[2,5,7,4,1,6,8,3]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,0] [5,4,7,3,6,1,8,2]=>{{1,5,6},{2,4},{3,7,8}}=>[5,4,7,2,6,1,8,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0] [5,4,7,8,3,1,6,2]=>{{1,5},{2,4,8},{3,7},{6}}=>[5,4,7,8,1,6,3,2]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0] [6,4,3,8,5,1,7,2]=>{{1,6},{2,4,8},{3},{5},{7}}=>[6,4,3,8,5,1,7,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] [5,8,4,3,6,1,7,2]=>{{1,5,6},{2,8},{3,4},{7}}=>[5,8,4,3,6,1,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] [5,4,8,3,6,1,7,2]=>{{1,5,6},{2,4},{3,8},{7}}=>[5,4,8,2,6,1,7,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0] [4,6,2,1,8,5,7,3]=>{{1,4},{2,6},{3},{5,8},{7}}=>[4,6,3,1,8,2,7,5]=>[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0] [2,4,1,7,5,8,6,3]=>{{1,2,4,7},{3},{5},{6,8}}=>[2,4,3,7,5,8,1,6]=>[1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0] [2,4,1,7,5,3,8,6]=>{{1,2,4,7,8},{3},{5},{6}}=>[2,4,3,7,5,6,8,1]=>[1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0] [2,6,4,1,8,5,3,7]=>{{1,2,6},{3,4},{5,8},{7}}=>[2,6,4,3,8,1,7,5]=>[1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0] [3,2,5,6,1,8,4,7]=>{{1,3,5},{2},{4,6,8},{7}}=>[3,2,5,6,1,8,7,4]=>[1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0] [3,2,1,6,8,5,4,7]=>{{1,3},{2},{4,6},{5,8},{7}}=>[3,2,1,6,8,4,7,5]=>[1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0] [3,2,7,1,5,8,6,4]=>{{1,3,7},{2},{4},{5},{6,8}}=>[3,2,7,4,5,8,1,6]=>[1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0] [4,8,3,2,6,7,1,5]=>{{1,4},{2,8},{3},{5,6,7}}=>[4,8,3,1,6,7,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] [4,3,2,6,7,1,5,8]=>{{1,4,6},{2,3},{5,7},{8}}=>[4,3,2,6,7,1,5,8]=>[1,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0] [4,3,7,8,2,6,1,5]=>{{1,4,8},{2,3,7},{5},{6}}=>[4,3,7,8,5,6,2,1]=>[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0] [2,5,7,4,8,1,6,3]=>{{1,2,5,8},{3,7},{4},{6}}=>[2,5,7,4,8,6,3,1]=>[1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0] [3,2,5,7,8,1,6,4]=>{{1,3,5,8},{2},{4,7},{6}}=>[3,2,5,7,8,6,4,1]=>[1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0] [3,2,5,7,1,6,8,4]=>{{1,3,5},{2},{4,7,8},{6}}=>[3,2,5,7,1,6,8,4]=>[1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0] [6,3,2,7,1,5,4,8]=>{{1,6},{2,3},{4,7},{5},{8}}=>[6,3,2,7,5,1,4,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] [6,3,2,7,1,5,8,4]=>{{1,6},{2,3},{4,7,8},{5}}=>[6,3,2,7,5,1,8,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0] [6,3,2,7,8,1,5,4]=>{{1,6},{2,3},{4,7},{5,8}}=>[6,3,2,7,8,1,4,5]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0] [4,2,6,1,7,8,5,3]=>{{1,4},{2},{3,6,8},{5,7}}=>[4,2,6,1,7,8,5,3]=>[1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0] [6,5,2,1,7,8,4,3]=>{{1,6,8},{2,5,7},{3},{4}}=>[6,5,3,4,7,8,2,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0] [2,1,7,5,3,8,6,4]=>{{1,2},{3,7},{4,5},{6,8}}=>[2,1,7,5,4,8,3,6]=>[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0] [6,3,2,7,1,4,8,5]=>{{1,6},{2,3},{4,7,8},{5}}=>[6,3,2,7,5,1,8,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0] [3,5,2,1,7,8,4,6]=>{{1,3},{2,5,7},{4},{6,8}}=>[3,5,1,4,7,8,2,6]=>[1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0] [5,8,4,2,1,7,3,6]=>{{1,5},{2,8},{3,4},{6,7}}=>[5,8,4,3,1,7,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] [4,6,2,1,8,3,7,5]=>{{1,4},{2,6},{3},{5,8},{7}}=>[4,6,3,1,8,2,7,5]=>[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0] [2,4,1,7,3,8,6,5]=>{{1,2,4,7},{3},{5},{6,8}}=>[2,4,3,7,5,8,1,6]=>[1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0] [3,2,7,1,4,8,6,5]=>{{1,3,7},{2},{4},{5},{6,8}}=>[3,2,7,4,5,8,1,6]=>[1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0] [3,5,2,8,1,7,4,6]=>{{1,3},{2,5},{4,8},{6,7}}=>[3,5,1,8,2,7,6,4]=>[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0] [3,2,1,4,7,5,8,6]=>{{1,3},{2},{4},{5,7,8},{6}}=>[3,2,1,4,7,6,8,5]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0] [4,8,3,2,1,5,6,7]=>{{1,4},{2,8},{3},{5},{6},{7}}=>[4,8,3,1,5,6,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] [1,10,9,8,7,6,5,4,3,2]=>{{1},{2,10},{3,9},{4,8},{5,7},{6}}=>[1,10,9,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] [6,2,3,1,5,4,8,7]=>{{1,6},{2},{3},{4},{5},{7,8}}=>[6,2,3,4,5,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] [6,2,5,3,4,1,8,7]=>{{1,6},{2},{3,5},{4},{7,8}}=>[6,2,5,4,3,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] [6,1,5,2,4,3,8,7]=>{{1,6},{2},{3,5},{4},{7,8}}=>[6,2,5,4,3,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] [6,4,5,1,3,2,8,7]=>{{1,6},{2,4},{3,5},{7,8}}=>[6,4,5,2,3,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] [6,1,5,3,4,2,8,7]=>{{1,6},{2},{3,5},{4},{7,8}}=>[6,2,5,4,3,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] [6,3,5,1,4,2,8,7]=>{{1,6},{2,3,5},{4},{7,8}}=>[6,3,5,4,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] [8,5,7,3,6,1,4,2]=>{{1,8},{2,5,6},{3,7},{4}}=>[8,5,7,4,6,2,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,3,7,4,6,2,5,1]=>{{1,8},{2,3,7},{4},{5,6}}=>[8,3,7,4,6,5,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,3,7,4,6,1,5,2]=>{{1,8},{2,3,7},{4},{5,6}}=>[8,3,7,4,6,5,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,3,7,1,6,4,5,2]=>{{1,8},{2,3,7},{4},{5,6}}=>[8,3,7,4,6,5,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,3,7,1,6,2,5,4]=>{{1,8},{2,3,7},{4},{5,6}}=>[8,3,7,4,6,5,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,3,7,2,6,4,5,1]=>{{1,8},{2,3,7},{4},{5,6}}=>[8,3,7,4,6,5,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,1,3,2,7,4,6,5]=>{{1,8},{2},{3},{4},{5,7},{6}}=>[8,2,3,4,7,6,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,2,3,1,7,4,6,5]=>{{1,8},{2},{3},{4},{5,7},{6}}=>[8,2,3,4,7,6,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,2,3,1,5,4,7,6]=>{{1,8},{2},{3},{4},{5},{6},{7}}=>[8,2,3,4,5,6,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [4,2,3,1,8,5,7,6]=>{{1,4},{2},{3},{5,8},{6},{7}}=>[4,2,3,1,8,6,7,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] [4,1,3,2,8,6,7,5]=>{{1,4},{2},{3},{5,8},{6},{7}}=>[4,2,3,1,8,6,7,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] [8,2,3,1,7,5,6,4]=>{{1,8},{2},{3},{4},{5,7},{6}}=>[8,2,3,4,7,6,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,5,7,2,6,3,4,1]=>{{1,8},{2,5,6},{3,7},{4}}=>[8,5,7,4,6,2,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,5,7,2,6,1,4,3]=>{{1,8},{2,5,6},{3,7},{4}}=>[8,5,7,4,6,2,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [2,1,8,6,7,3,5,4]=>{{1,2},{3,8},{4,6},{5,7}}=>[2,1,8,6,7,4,5,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] [8,1,3,2,7,5,6,4]=>{{1,8},{2},{3},{4},{5,7},{6}}=>[8,2,3,4,7,6,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,4,7,2,6,3,5,1]=>{{1,8},{2,4},{3,7},{5,6}}=>[8,4,7,2,6,5,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,4,7,2,6,1,5,3]=>{{1,8},{2,4},{3,7},{5,6}}=>[8,4,7,2,6,5,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,4,7,1,6,2,5,3]=>{{1,8},{2,4},{3,7},{5,6}}=>[8,4,7,2,6,5,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,5,7,1,6,2,4,3]=>{{1,8},{2,5,6},{3,7},{4}}=>[8,5,7,4,6,2,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [2,1,8,5,7,3,6,4]=>{{1,2},{3,8},{4,5,7},{6}}=>[2,1,8,5,7,6,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] [8,5,7,4,6,1,3,2]=>{{1,8},{2,5,6},{3,7},{4}}=>[8,5,7,4,6,2,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,5,7,1,6,3,4,2]=>{{1,8},{2,5,6},{3,7},{4}}=>[8,5,7,4,6,2,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,4,7,1,6,3,5,2]=>{{1,8},{2,4},{3,7},{5,6}}=>[8,4,7,2,6,5,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,4,7,3,6,1,5,2]=>{{1,8},{2,4},{3,7},{5,6}}=>[8,4,7,2,6,5,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [2,4,8,3,6,1,7,5]=>{{1,2,4},{3,8},{5,6},{7}}=>[2,4,8,1,6,5,7,3]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0] [4,5,8,6,3,2,7,1]=>{{1,4,6},{2,5},{3,8},{7}}=>[4,5,8,6,2,1,7,3]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0] [6,5,8,7,3,1,2,4]=>{{1,6},{2,5},{3,8},{4,7}}=>[6,5,8,7,2,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] [2,8,4,6,1,5,7,3]=>{{1,2,8},{3,4,6},{5},{7}}=>[2,8,4,6,5,3,7,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] [2,3,6,8,4,5,7,1]=>{{1,2,3,6},{4,8},{5},{7}}=>[2,3,6,8,5,1,7,4]=>[1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0] [6,3,7,8,4,1,5,2]=>{{1,6},{2,3,7},{4,8},{5}}=>[6,3,7,8,5,1,2,4]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0] [1,3,7,8,4,6,5,2]=>{{1},{2,3,7},{4,8},{5},{6}}=>[1,3,7,8,5,6,2,4]=>[1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0] [5,1,7,8,2,4,6,3]=>{{1,5},{2},{3,7},{4,8},{6}}=>[5,2,7,8,1,6,3,4]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0] [3,6,7,8,4,2,5,1]=>{{1,3,7},{2,6},{4,8},{5}}=>[3,6,7,8,5,2,1,4]=>[1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0] [5,6,8,7,3,2,1,4]=>{{1,5},{2,6},{3,8},{4,7}}=>[5,6,8,7,1,2,4,3]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0] [5,2,7,8,1,4,6,3]=>{{1,5},{2},{3,7},{4,8},{6}}=>[5,2,7,8,1,6,3,4]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0] [1,2,7,8,5,4,6,3]=>{{1},{2},{3,7},{4,8},{5},{6}}=>[1,2,7,8,5,6,3,4]=>[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] [4,2,1,3,8,5,6,7]=>{{1,4},{2},{3},{5,8},{6},{7}}=>[4,2,3,1,8,6,7,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] [6,4,8,5,2,3,1,7]=>{{1,6},{2,4,5},{3,8},{7}}=>[6,4,8,5,2,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] [7,3,5,8,2,4,6,1]=>{{1,7},{2,3,5},{4,8},{6}}=>[7,3,5,8,2,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] [4,3,1,2,8,5,6,7]=>{{1,4},{2,3},{5,8},{6},{7}}=>[4,3,2,1,8,6,7,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] [2,7,6,8,4,3,5,1]=>{{1,2,7},{3,6},{4,8},{5}}=>[2,7,6,8,5,3,1,4]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0] [3,7,5,8,1,4,6,2]=>{{1,3,5},{2,7},{4,8},{6}}=>[3,7,5,8,1,6,2,4]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0] [4,6,8,5,1,3,2,7]=>{{1,4,5},{2,6},{3,8},{7}}=>[4,6,8,5,1,2,7,3]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] [7,5,8,6,3,4,2,1]=>{{1,7},{2,5},{3,8},{4,6}}=>[7,5,8,6,2,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] [2,4,8,3,6,5,1,7]=>{{1,2,4},{3,8},{5,6},{7}}=>[2,4,8,1,6,5,7,3]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0] [4,6,8,1,5,3,2,7]=>{{1,4},{2,6},{3,8},{5},{7}}=>[4,6,8,1,5,2,7,3]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] [4,1,3,2,8,5,6,7]=>{{1,4},{2},{3},{5,8},{6},{7}}=>[4,2,3,1,8,6,7,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] [7,3,2,8,5,4,6,1]=>{{1,7},{2,3},{4,8},{5},{6}}=>[7,3,2,8,5,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] [6,4,8,2,5,3,1,7]=>{{1,6},{2,4},{3,8},{5},{7}}=>[6,4,8,2,5,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] [2,8,3,4,5,1,6,7]=>{{1,2,8},{3},{4},{5},{6},{7}}=>[2,8,3,4,5,6,7,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] [6,2,8,4,5,3,1,7]=>{{1,6},{2},{3,8},{4},{5},{7}}=>[6,2,8,4,5,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] [4,2,3,1,8,5,6,7]=>{{1,4},{2},{3},{5,8},{6},{7}}=>[4,2,3,1,8,6,7,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] [1,2,8,4,5,3,7,6]=>{{1},{2},{3,8},{4},{5},{6},{7}}=>[1,2,8,4,5,6,7,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,4,2,8,5,3,6,7]=>{{1},{2,4,8},{3},{5},{6},{7}}=>[1,4,3,8,5,6,7,2]=>[1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] [1,2,4,8,5,3,7,6]=>{{1},{2},{3,4,8},{5},{6},{7}}=>[1,2,4,8,5,6,7,3]=>[1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0] [5,1,2,7,4,8,3,6]=>{{1,5},{2},{3},{4,7},{6,8}}=>[5,2,3,7,1,8,4,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0] [8,3,5,1,4,7,2,6]=>{{1,8},{2,3,5},{4},{6,7}}=>[8,3,5,4,2,7,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [2,8,1,5,4,7,3,6]=>{{1,2,8},{3},{4,5},{6,7}}=>[2,8,3,5,4,7,6,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] [6,4,1,2,8,7,3,5]=>{{1,6,7},{2,4},{3},{5,8}}=>[6,4,3,2,8,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] [3,6,4,8,1,7,2,5]=>{{1,3,4,8},{2,6,7},{5}}=>[3,6,4,8,5,7,2,1]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0] [6,3,7,1,4,8,2,5]=>{{1,6,8},{2,3,7},{4},{5}}=>[6,3,7,4,5,8,2,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0] [1,4,2,7,8,5,3,6]=>{{1},{2,4,7},{3},{5,8},{6}}=>[1,4,3,7,8,6,2,5]=>[1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0] [1,2,5,8,3,7,4,6]=>{{1},{2},{3,5},{4,8},{6,7}}=>[1,2,5,8,3,7,6,4]=>[1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0] [3,8,6,1,4,7,2,5]=>{{1,3,6,7},{2,8},{4},{5}}=>[3,8,6,4,5,7,1,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] [3,7,4,8,1,6,2,5]=>{{1,3,4,8},{2,7},{5},{6}}=>[3,7,4,8,5,6,2,1]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0] [3,4,8,7,1,6,2,5]=>{{1,3,8},{2,4,7},{5},{6}}=>[3,4,8,7,5,6,2,1]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0] [2,8,1,7,6,4,3,5]=>{{1,2,8},{3},{4,7},{5,6}}=>[2,8,3,7,6,5,4,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,8,3,4,1,5,2,6]=>{{1,7},{2,8},{3},{4},{5},{6}}=>[7,8,3,4,5,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] [7,8,3,4,1,6,2,5]=>{{1,7},{2,8},{3},{4},{5},{6}}=>[7,8,3,4,5,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] [6,8,3,4,1,7,2,5]=>{{1,6,7},{2,8},{3},{4},{5}}=>[6,8,3,4,5,7,1,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] [6,8,3,4,1,5,2,7]=>{{1,6},{2,8},{3},{4},{5},{7}}=>[6,8,3,4,5,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] [5,6,2,8,3,4,1,7]=>{{1,5},{2,6},{3},{4,8},{7}}=>[5,6,3,8,1,2,7,4]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0] [4,7,3,5,1,8,2,6]=>{{1,4,5},{2,7},{3},{6,8}}=>[4,7,3,5,1,8,2,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0] [4,6,2,5,1,8,3,7]=>{{1,4,5},{2,6,8},{3},{7}}=>[4,6,3,5,1,8,7,2]=>[1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0] [4,5,1,8,3,7,2,6]=>{{1,4,8},{2,5},{3},{6,7}}=>[4,5,3,8,2,7,6,1]=>[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0] [4,5,1,7,3,8,2,6]=>{{1,4,7},{2,5},{3},{6,8}}=>[4,5,3,7,2,8,1,6]=>[1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0] [4,6,2,7,3,8,1,5]=>{{1,4,7},{2,6,8},{3},{5}}=>[4,6,3,7,5,8,1,2]=>[1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0] [5,6,2,7,3,8,1,4]=>{{1,5},{2,6,8},{3},{4,7}}=>[5,6,3,7,1,8,4,2]=>[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] [5,6,2,7,4,8,1,3]=>{{1,5},{2,6,8},{3},{4,7}}=>[5,6,3,7,1,8,4,2]=>[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] [5,6,3,8,4,7,1,2]=>{{1,5},{2,6,7},{3},{4,8}}=>[5,6,3,8,1,7,2,4]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0] [5,6,2,8,4,7,1,3]=>{{1,5},{2,6,7},{3},{4,8}}=>[5,6,3,8,1,7,2,4]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0] [5,6,2,8,3,7,1,4]=>{{1,5},{2,6,7},{3},{4,8}}=>[5,6,3,8,1,7,2,4]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0] [4,6,2,8,3,7,1,5]=>{{1,4,8},{2,6,7},{3},{5}}=>[4,6,3,8,5,7,2,1]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0] [4,5,1,7,3,6,2,8]=>{{1,4,7},{2,5},{3},{6},{8}}=>[4,5,3,7,2,6,1,8]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0] [9,2,1,3,4,5,6,7,8]=>{{1,9},{2},{3},{4},{5},{6},{7},{8}}=>[9,2,3,4,5,6,7,8,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] [10,2,1,3,4,5,6,7,8,9]=>{{1,10},{2},{3},{4},{5},{6},{7},{8},{9}}=>[10,2,3,4,5,6,7,8,9,1]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] [9,2,3,1,4,5,6,7,8]=>{{1,9},{2},{3},{4},{5},{6},{7},{8}}=>[9,2,3,4,5,6,7,8,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] [4,2,3,5,6,7,8,9,1]=>{{1,4,5,6,7,8,9},{2},{3}}=>[4,2,3,5,6,7,8,9,1]=>[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0] [3,2,4,5,6,7,8,9,10,1]=>{{1,3,4,5,6,7,8,9,10},{2}}=>[3,2,4,5,6,7,8,9,10,1]=>[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [4,6,3,5,2,1,8,7]=>{{1,4,5},{2,6},{3},{7,8}}=>[4,6,3,5,1,2,8,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0] [6,8,2,4,5,7,3,1]=>{{1,6,7},{2,8},{3},{4},{5}}=>[6,8,3,4,5,7,1,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] [6,3,8,4,5,7,2,1]=>{{1,6,7},{2,3,8},{4},{5}}=>[6,3,8,4,5,7,1,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] [2,1,6,8,5,7,4,3]=>{{1,2},{3,6,7},{4,8},{5}}=>[2,1,6,8,5,7,3,4]=>[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0] [6,8,3,5,1,7,4,2]=>{{1,6,7},{2,8},{3},{4,5}}=>[6,8,3,5,4,7,1,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] [2,5,8,4,7,6,3,1]=>{{1,2,5,7},{3,8},{4},{6}}=>[2,5,8,4,7,6,1,3]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0] [4,8,1,3,5,6,7,2]=>{{1,4},{2,8},{3},{5},{6},{7}}=>[4,8,3,1,5,6,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] [3,8,1,2,5,6,7,4]=>{{1,3},{2,8},{4},{5},{6},{7}}=>[3,8,1,4,5,6,7,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] [2,6,8,4,5,7,1,3]=>{{1,2,6,7},{3,8},{4},{5}}=>[2,6,8,4,5,7,1,3]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0] [6,8,3,5,1,7,2,4]=>{{1,6,7},{2,8},{3},{4,5}}=>[6,8,3,5,4,7,1,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] [4,8,2,1,5,6,7,3]=>{{1,4},{2,8},{3},{5},{6},{7}}=>[4,8,3,1,5,6,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] [3,4,8,2,5,6,7,1]=>{{1,3,8},{2,4},{5},{6},{7}}=>[3,4,8,2,5,6,7,1]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0] [4,5,3,8,6,1,7,2]=>{{1,4,8},{2,5,6},{3},{7}}=>[4,5,3,8,6,2,7,1]=>[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0] [7,8,9,10,11,12,1,2,3,4,5,6]=>{{1,7},{2,8},{3,9},{4,10},{5,11},{6,12}}=>[7,8,9,10,11,12,1,2,3,4,5,6]=>[1,1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0] [1,5,7,3,6,8,4,2]=>{{1},{2,5,6,8},{3,7},{4}}=>[1,5,7,4,6,8,3,2]=>[1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0] [8,4,3,7,6,1,5,2]=>{{1,8},{2,4,7},{3},{5,6}}=>[8,4,3,7,6,5,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [5,2,7,3,6,4,8,1]=>{{1,5,6},{2},{3,7,8},{4}}=>[5,2,7,4,6,1,8,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0] [8,3,4,7,6,1,5,2]=>{{1,8},{2,3,4,7},{5,6}}=>[8,3,4,7,6,5,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [5,1,7,3,6,8,4,2]=>{{1,5,6,8},{2},{3,7},{4}}=>[5,2,7,4,6,8,3,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0] [5,8,7,3,6,1,4,2]=>{{1,5,6},{2,8},{3,7},{4}}=>[5,8,7,4,6,1,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] [4,8,3,7,6,1,5,2]=>{{1,4,7},{2,8},{3},{5,6}}=>[4,8,3,7,6,5,1,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] [8,1,3,2,7,6,5,4]=>{{1,8},{2},{3},{4},{5,7},{6}}=>[8,2,3,4,7,6,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,2,3,1,7,6,5,4]=>{{1,8},{2},{3},{4},{5,7},{6}}=>[8,2,3,4,7,6,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,4,2,7,8,6,5,3]=>{{1},{2,4,7},{3},{5,8},{6}}=>[1,4,3,7,8,6,2,5]=>[1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0] [8,4,2,7,1,6,5,3]=>{{1,8},{2,4,7},{3},{5},{6}}=>[8,4,3,7,5,6,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,5,7,2,8,6,4,3]=>{{1},{2,5,8},{3,7},{4},{6}}=>[1,5,7,4,8,6,3,2]=>[1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0] [2,5,7,1,8,6,4,3]=>{{1,2,5,8},{3,7},{4},{6}}=>[2,5,7,4,8,6,3,1]=>[1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0] [5,4,7,6,8,1,3,2]=>{{1,5,8},{2,4,6},{3,7}}=>[5,4,7,6,8,2,3,1]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0] [2,5,7,8,1,6,4,3]=>{{1,2,5},{3,7},{4,8},{6}}=>[2,5,7,8,1,6,3,4]=>[1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0] [8,4,1,7,2,6,5,3]=>{{1,8},{2,4,7},{3},{5},{6}}=>[8,4,3,7,5,6,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [4,3,8,7,6,1,5,2]=>{{1,4,7},{2,3,8},{5,6}}=>[4,3,8,7,6,5,1,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] [5,2,7,8,1,6,4,3]=>{{1,5},{2},{3,7},{4,8},{6}}=>[5,2,7,8,1,6,3,4]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0] [8,2,1,3,7,6,5,4]=>{{1,8},{2},{3},{4},{5,7},{6}}=>[8,2,3,4,7,6,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [5,1,7,8,2,6,4,3]=>{{1,5},{2},{3,7},{4,8},{6}}=>[5,2,7,8,1,6,3,4]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0] [8,1,2,3,7,6,5,4]=>{{1,8},{2},{3},{4},{5,7},{6}}=>[8,2,3,4,7,6,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [3,1,4,5,6,7,8,9,10,2]=>{{1,3,4,5,6,7,8,9,10},{2}}=>[3,2,4,5,6,7,8,9,10,1]=>[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [3,1,4,5,6,7,8,9,10,11,2]=>{{1,3,4,5,6,7,8,9,10,11},{2}}=>[3,2,4,5,6,7,8,9,10,11,1]=>[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [2,7,1,5,8,3,6,4]=>{{1,2,7},{3},{4,5,8},{6}}=>[2,7,3,5,8,6,1,4]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0] [2,6,5,1,8,3,7,4]=>{{1,2,6},{3,5,8},{4},{7}}=>[2,6,5,4,8,1,7,3]=>[1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0] [3,6,5,1,8,2,7,4]=>{{1,3,5,8},{2,6},{4},{7}}=>[3,6,5,4,8,2,7,1]=>[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0] [8,1,4,5,7,6,2,3]=>{{1,8},{2},{3,4,5,7},{6}}=>[8,2,4,5,7,6,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [3,5,6,1,8,2,7,4]=>{{1,3,6},{2,5,8},{4},{7}}=>[3,5,6,4,8,1,7,2]=>[1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0] [2,5,6,1,8,3,7,4]=>{{1,2,5,8},{3,6},{4},{7}}=>[2,5,6,4,8,3,7,1]=>[1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0] [2,4,6,1,3,8,7,5]=>{{1,2,4},{3,6,8},{5},{7}}=>[2,4,6,1,5,8,7,3]=>[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0] [3,4,6,1,2,8,7,5]=>{{1,3,6,8},{2,4},{5},{7}}=>[3,4,6,2,5,8,7,1]=>[1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0] [4,3,6,1,2,8,7,5]=>{{1,4},{2,3,6,8},{5},{7}}=>[4,3,6,1,5,8,7,2]=>[1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0] [5,3,6,1,8,2,7,4]=>{{1,5,8},{2,3,6},{4},{7}}=>[5,3,6,4,8,2,7,1]=>[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0] [7,3,1,5,8,2,6,4]=>{{1,7},{2,3},{4,5,8},{6}}=>[7,3,2,5,8,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] [2,3,6,1,4,8,7,5]=>{{1,2,3,6,8},{4},{5},{7}}=>[2,3,6,4,5,8,7,1]=>[1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0] [4,2,5,3,1,8,7,6]=>{{1,4},{2},{3,5},{6,8},{7}}=>[4,2,5,1,3,8,7,6]=>[1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0] [7,2,1,4,3,8,6,5]=>{{1,7},{2},{3},{4},{5},{6,8}}=>[7,2,3,4,5,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] [8,1,2,4,3,7,6,5]=>{{1,8},{2},{3},{4},{5},{6,7}}=>[8,2,3,4,5,7,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,1,3,4,2,7,6,5]=>{{1,8},{2},{3},{4},{5},{6,7}}=>[8,2,3,4,5,7,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [3,6,4,1,2,8,7,5]=>{{1,3,4},{2,6,8},{5},{7}}=>[3,6,4,1,5,8,7,2]=>[1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0] [2,6,4,1,3,8,7,5]=>{{1,2,6,8},{3,4},{5},{7}}=>[2,6,4,3,5,8,7,1]=>[1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0] [5,4,2,3,1,8,7,6]=>{{1,5},{2,4},{3},{6,8},{7}}=>[5,4,3,2,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] [3,5,2,4,1,8,7,6]=>{{1,3},{2,5},{4},{6,8},{7}}=>[3,5,1,4,2,8,7,6]=>[1,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0] [8,1,3,2,4,7,6,5]=>{{1,8},{2},{3},{4},{5},{6,7}}=>[8,2,3,4,5,7,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,1,2,3,4,7,6,5]=>{{1,8},{2},{3},{4},{5},{6,7}}=>[8,2,3,4,5,7,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [7,2,1,3,4,8,6,5]=>{{1,7},{2},{3},{4},{5},{6,8}}=>[7,2,3,4,5,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] [2,4,3,6,1,5,8,7]=>{{1,2,4,6},{3},{5},{7,8}}=>[2,4,3,6,5,1,8,7]=>[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0] [2,4,3,6,5,8,1,7]=>{{1,2,4,6,8},{3},{5},{7}}=>[2,4,3,6,5,8,7,1]=>[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0] [2,4,6,3,5,8,7,1]=>{{1,2,4},{3,6,8},{5},{7}}=>[2,4,6,1,5,8,7,3]=>[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0] [2,4,6,3,5,8,1,7]=>{{1,2,4},{3,6,8},{5},{7}}=>[2,4,6,1,5,8,7,3]=>[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0] [2,4,6,3,5,1,8,7]=>{{1,2,4},{3,6},{5},{7,8}}=>[2,4,6,1,5,3,8,7]=>[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0] [2,4,6,3,1,5,8,7]=>{{1,2,4},{3,6},{5},{7,8}}=>[2,4,6,1,5,3,8,7]=>[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0] [2,4,1,6,5,3,8,7]=>{{1,2,4,6},{3},{5},{7,8}}=>[2,4,3,6,5,1,8,7]=>[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0] [2,4,6,1,5,3,8,7]=>{{1,2,4},{3,6},{5},{7,8}}=>[2,4,6,1,5,3,8,7]=>[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0] [4,2,6,5,3,1,8,7]=>{{1,4,5},{2},{3,6},{7,8}}=>[4,2,6,5,1,3,8,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0] [4,2,6,5,1,3,8,7]=>{{1,4,5},{2},{3,6},{7,8}}=>[4,2,6,5,1,3,8,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0] [4,2,6,5,1,8,7,3]=>{{1,4,5},{2},{3,6,8},{7}}=>[4,2,6,5,1,8,7,3]=>[1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0] [4,2,6,5,8,1,7,3]=>{{1,4,5,8},{2},{3,6},{7}}=>[4,2,6,5,8,3,7,1]=>[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0] [4,2,6,5,8,1,3,7]=>{{1,4,5,8},{2},{3,6},{7}}=>[4,2,6,5,8,3,7,1]=>[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0] [4,2,6,5,8,3,1,7]=>{{1,4,5,8},{2},{3,6},{7}}=>[4,2,6,5,8,3,7,1]=>[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0] [2,4,6,1,5,8,3,7]=>{{1,2,4},{3,6,8},{5},{7}}=>[2,4,6,1,5,8,7,3]=>[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0] [2,4,1,6,5,8,3,7]=>{{1,2,4,6,8},{3},{5},{7}}=>[2,4,3,6,5,8,7,1]=>[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0] [2,1,4,6,5,8,3,7]=>{{1,2},{3,4,6,8},{5},{7}}=>[2,1,4,6,5,8,7,3]=>[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] [2,4,1,6,5,8,7,3]=>{{1,2,4,6,8},{3},{5},{7}}=>[2,4,3,6,5,8,7,1]=>[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0] [2,4,6,1,5,8,7,3]=>{{1,2,4},{3,6,8},{5},{7}}=>[2,4,6,1,5,8,7,3]=>[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0] [4,2,6,5,3,8,7,1]=>{{1,4,5},{2},{3,6,8},{7}}=>[4,2,6,5,1,8,7,3]=>[1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0] [4,2,6,5,8,3,7,1]=>{{1,4,5,8},{2},{3,6},{7}}=>[4,2,6,5,8,3,7,1]=>[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0] [2,6,4,3,8,7,1,5]=>{{1,2,6,7},{3,4},{5,8}}=>[2,6,4,3,8,7,1,5]=>[1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0] [2,6,4,3,8,7,5,1]=>{{1,2,6,7},{3,4},{5,8}}=>[2,6,4,3,8,7,1,5]=>[1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0] [4,2,6,8,5,3,7,1]=>{{1,4,8},{2},{3,6},{5},{7}}=>[4,2,6,8,5,3,7,1]=>[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0] [2,4,6,8,1,5,7,3]=>{{1,2,4,8},{3,6},{5},{7}}=>[2,4,6,8,5,3,7,1]=>[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0] [2,4,6,1,8,5,7,3]=>{{1,2,4},{3,6},{5,8},{7}}=>[2,4,6,1,8,3,7,5]=>[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0] [2,4,1,6,8,5,7,3]=>{{1,2,4,6},{3},{5,8},{7}}=>[2,4,3,6,8,1,7,5]=>[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0] [2,1,4,6,8,5,7,3]=>{{1,2},{3,4,6},{5,8},{7}}=>[2,1,4,6,8,3,7,5]=>[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] [2,1,4,6,8,5,3,7]=>{{1,2},{3,4,6},{5,8},{7}}=>[2,1,4,6,8,3,7,5]=>[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] [2,4,1,6,8,5,3,7]=>{{1,2,4,6},{3},{5,8},{7}}=>[2,4,3,6,8,1,7,5]=>[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0] [2,4,6,1,8,5,3,7]=>{{1,2,4},{3,6},{5,8},{7}}=>[2,4,6,1,8,3,7,5]=>[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0] [2,4,6,8,1,5,3,7]=>{{1,2,4,8},{3,6},{5},{7}}=>[2,4,6,8,5,3,7,1]=>[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0] [4,2,6,8,5,3,1,7]=>{{1,4,8},{2},{3,6},{5},{7}}=>[4,2,6,8,5,3,7,1]=>[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0] [4,2,6,8,5,1,3,7]=>{{1,4,8},{2},{3,6},{5},{7}}=>[4,2,6,8,5,3,7,1]=>[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0] [4,2,6,8,5,1,7,3]=>{{1,4,8},{2},{3,6},{5},{7}}=>[4,2,6,8,5,3,7,1]=>[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0] [2,4,6,8,3,5,7,1]=>{{1,2,4,8},{3,6},{5},{7}}=>[2,4,6,8,5,3,7,1]=>[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0] [2,4,6,8,3,5,1,7]=>{{1,2,4,8},{3,6},{5},{7}}=>[2,4,6,8,5,3,7,1]=>[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0] [2,4,6,8,3,1,5,7]=>{{1,2,4,8},{3,6},{5},{7}}=>[2,4,6,8,5,3,7,1]=>[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0] [2,4,6,3,1,8,5,7]=>{{1,2,4},{3,6,8},{5},{7}}=>[2,4,6,1,5,8,7,3]=>[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0] [2,4,6,3,8,1,5,7]=>{{1,2,4},{3,6},{5,8},{7}}=>[2,4,6,1,8,3,7,5]=>[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0] [2,4,6,3,8,5,1,7]=>{{1,2,4},{3,6},{5,8},{7}}=>[2,4,6,1,8,3,7,5]=>[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0] [2,4,6,3,8,5,7,1]=>{{1,2,4},{3,6},{5,8},{7}}=>[2,4,6,1,8,3,7,5]=>[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0] [2,4,3,6,8,5,7,1]=>{{1,2,4,6},{3},{5,8},{7}}=>[2,4,3,6,8,1,7,5]=>[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0] [2,4,3,6,8,5,1,7]=>{{1,2,4,6},{3},{5,8},{7}}=>[2,4,3,6,8,1,7,5]=>[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0] [2,4,3,6,8,1,5,7]=>{{1,2,4,6},{3},{5,8},{7}}=>[2,4,3,6,8,1,7,5]=>[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0] [2,4,3,6,1,8,5,7]=>{{1,2,4,6,8},{3},{5},{7}}=>[2,4,3,6,5,8,7,1]=>[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0] [2,4,3,1,6,8,5,7]=>{{1,2,4},{3},{5,6,8},{7}}=>[2,4,3,1,6,8,7,5]=>[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0] [2,4,1,3,6,8,7,5]=>{{1,2,4},{3},{5,6,8},{7}}=>[2,4,3,1,6,8,7,5]=>[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0] [2,4,3,6,1,8,7,5]=>{{1,2,4,6,8},{3},{5},{7}}=>[2,4,3,6,5,8,7,1]=>[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0] [2,4,3,6,8,1,7,5]=>{{1,2,4,6},{3},{5,8},{7}}=>[2,4,3,6,8,1,7,5]=>[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0] [2,4,6,3,8,1,7,5]=>{{1,2,4},{3,6},{5,8},{7}}=>[2,4,6,1,8,3,7,5]=>[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0] [2,4,6,3,1,8,7,5]=>{{1,2,4},{3,6,8},{5},{7}}=>[2,4,6,1,5,8,7,3]=>[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0] [2,4,1,6,3,8,7,5]=>{{1,2,4,6,8},{3},{5},{7}}=>[2,4,3,6,5,8,7,1]=>[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0] [2,1,4,6,3,8,7,5]=>{{1,2},{3,4,6,8},{5},{7}}=>[2,1,4,6,5,8,7,3]=>[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] [2,1,4,6,8,3,7,5]=>{{1,2},{3,4,6},{5,8},{7}}=>[2,1,4,6,8,3,7,5]=>[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] [2,4,1,6,8,3,7,5]=>{{1,2,4,6},{3},{5,8},{7}}=>[2,4,3,6,8,1,7,5]=>[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0] [2,4,6,1,8,3,7,5]=>{{1,2,4},{3,6},{5,8},{7}}=>[2,4,6,1,8,3,7,5]=>[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0] [2,4,6,8,1,3,7,5]=>{{1,2,4,8},{3,6},{5},{7}}=>[2,4,6,8,5,3,7,1]=>[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0] [2,4,6,8,3,1,7,5]=>{{1,2,4,8},{3,6},{5},{7}}=>[2,4,6,8,5,3,7,1]=>[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0] [4,6,2,8,5,7,3,1]=>{{1,4,8},{2,6,7},{3},{5}}=>[4,6,3,8,5,7,2,1]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0] [4,6,2,8,5,7,1,3]=>{{1,4,8},{2,6,7},{3},{5}}=>[4,6,3,8,5,7,2,1]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0] [6,2,4,8,7,1,3,5]=>{{1,6},{2},{3,4,8},{5,7}}=>[6,2,4,8,7,1,5,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] [6,4,2,8,7,5,3,1]=>{{1,6},{2,4,8},{3},{5,7}}=>[6,4,3,8,7,1,5,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] [2,6,4,1,8,7,5,3]=>{{1,2,6,7},{3,4},{5,8}}=>[2,6,4,3,8,7,1,5]=>[1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0] [2,6,1,4,8,7,5,3]=>{{1,2,6,7},{3},{4},{5,8}}=>[2,6,3,4,8,7,1,5]=>[1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0] [2,1,6,4,8,7,5,3]=>{{1,2},{3,6,7},{4},{5,8}}=>[2,1,6,4,8,7,3,5]=>[1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] [2,1,6,4,8,7,3,5]=>{{1,2},{3,6,7},{4},{5,8}}=>[2,1,6,4,8,7,3,5]=>[1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] [2,6,1,4,8,7,3,5]=>{{1,2,6,7},{3},{4},{5,8}}=>[2,6,3,4,8,7,1,5]=>[1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0] [2,6,4,1,8,7,3,5]=>{{1,2,6,7},{3,4},{5,8}}=>[2,6,4,3,8,7,1,5]=>[1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0] [6,4,2,8,7,5,1,3]=>{{1,6},{2,4,8},{3},{5,7}}=>[6,4,3,8,7,1,5,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] [6,2,4,8,7,3,5,1]=>{{1,6},{2},{3,4,8},{5,7}}=>[6,2,4,8,7,1,5,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] [6,2,4,8,7,3,1,5]=>{{1,6},{2},{3,4,8},{5,7}}=>[6,2,4,8,7,1,5,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] [5,1,4,7,3,8,2,6]=>{{1,5},{2},{3,4,7},{6,8}}=>[5,2,4,7,1,8,3,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0] [4,3,1,7,5,8,2,6]=>{{1,4,7},{2,3},{5},{6,8}}=>[4,3,2,7,5,8,1,6]=>[1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0] [2,8,6,3,7,1,4,5]=>{{1,2,8},{3,6},{4},{5,7}}=>[2,8,6,4,7,3,5,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] [4,3,6,1,5,8,2,7]=>{{1,4},{2,3,6,8},{5},{7}}=>[4,3,6,1,5,8,7,2]=>[1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0] [8,5,1,3,7,2,4,6]=>{{1,8},{2,5,7},{3},{4},{6}}=>[8,5,3,4,7,6,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,5,3,2,8,4,6,7]=>{{1},{2,5,8},{3},{4},{6},{7}}=>[1,5,3,4,8,6,7,2]=>[1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0] [4,3,5,2,1,8,6,7]=>{{1,4},{2,3,5},{6,8},{7}}=>[4,3,5,1,2,8,7,6]=>[1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0] [2,6,4,8,7,1,3,5]=>{{1,2,6},{3,4,8},{5,7}}=>[2,6,4,8,7,1,5,3]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0] [1,6,4,8,7,2,3,5]=>{{1},{2,6},{3,4,8},{5,7}}=>[1,6,4,8,7,2,5,3]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] [4,3,2,8,7,1,5,6]=>{{1,4,8},{2,3},{5,7},{6}}=>[4,3,2,8,7,6,5,1]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0] [5,2,4,8,7,1,3,6]=>{{1,5,7},{2},{3,4,8},{6}}=>[5,2,4,8,7,6,1,3]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] [6,2,8,3,7,1,4,5]=>{{1,6},{2},{3,8},{4},{5,7}}=>[6,2,8,4,7,1,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] [5,1,4,8,7,2,3,6]=>{{1,5,7},{2},{3,4,8},{6}}=>[5,2,4,8,7,6,1,3]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] [3,8,2,1,5,4,7,6]=>{{1,3},{2,8},{4},{5},{6},{7}}=>[3,8,1,4,5,6,7,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] [8,3,2,1,5,4,6,7]=>{{1,8},{2,3},{4},{5},{6},{7}}=>[8,3,2,4,5,6,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,3,2,1,5,6,4,7]=>{{1,8},{2,3},{4},{5},{6},{7}}=>[8,3,2,4,5,6,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,3,2,1,4,6,5,7]=>{{1,8},{2,3},{4},{5},{6},{7}}=>[8,3,2,4,5,6,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [3,8,2,1,4,5,7,6]=>{{1,3},{2,8},{4},{5},{6},{7}}=>[3,8,1,4,5,6,7,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] [3,2,8,1,4,6,7,5]=>{{1,3,8},{2},{4},{5},{6},{7}}=>[3,2,8,4,5,6,7,1]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0] [4,7,2,5,1,8,3,6]=>{{1,4,5},{2,7},{3},{6,8}}=>[4,7,3,5,1,8,2,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0] [3,2,1,7,5,8,6,4]=>{{1,3},{2},{4,7},{5},{6,8}}=>[3,2,1,7,5,8,4,6]=>[1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0] [3,2,7,1,6,8,4,5]=>{{1,3,7},{2},{4},{5,6,8}}=>[3,2,7,4,6,8,1,5]=>[1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0] [4,2,7,6,1,8,3,5]=>{{1,4,6,8},{2},{3,7},{5}}=>[4,2,7,6,5,8,3,1]=>[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0] [4,3,8,6,7,1,2,5]=>{{1,4,6},{2,3,8},{5,7}}=>[4,3,8,6,7,1,5,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] [4,2,8,6,1,7,3,5]=>{{1,4,6,7},{2},{3,8},{5}}=>[4,2,8,6,5,7,1,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] [3,2,1,8,7,5,6,4]=>{{1,3},{2},{4,8},{5,7},{6}}=>[3,2,1,8,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] [3,2,7,1,6,4,8,5]=>{{1,3,7,8},{2},{4},{5,6}}=>[3,2,7,4,6,5,8,1]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0] [4,2,6,8,1,3,7,5]=>{{1,4,8},{2},{3,6},{5},{7}}=>[4,2,6,8,5,3,7,1]=>[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0] [4,2,6,7,1,3,8,5]=>{{1,4,7,8},{2},{3,6},{5}}=>[4,2,6,7,5,3,8,1]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0] [3,2,6,1,8,4,7,5]=>{{1,3,6},{2},{4},{5,8},{7}}=>[3,2,6,4,8,1,7,5]=>[1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0] [3,2,1,6,8,5,7,4]=>{{1,3},{2},{4,6},{5,8},{7}}=>[3,2,1,6,8,4,7,5]=>[1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0] [3,2,6,1,8,7,4,5]=>{{1,3,6,7},{2},{4},{5,8}}=>[3,2,6,4,8,7,1,5]=>[1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0] [4,2,6,8,1,7,3,5]=>{{1,4,8},{2},{3,6,7},{5}}=>[4,2,6,8,5,7,3,1]=>[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0] [4,2,6,7,1,8,3,5]=>{{1,4,7},{2},{3,6,8},{5}}=>[4,2,6,7,5,8,1,3]=>[1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0] [3,2,6,1,7,8,4,5]=>{{1,3,6,8},{2},{4},{5,7}}=>[3,2,6,4,7,8,5,1]=>[1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0] [1,4,6,2,7,8,5,3]=>{{1},{2,4},{3,6,8},{5,7}}=>[1,4,6,2,7,8,5,3]=>[1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0] [7,3,8,5,4,6,1,2]=>{{1,7},{2,3,8},{4,5},{6}}=>[7,3,8,5,4,6,1,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] [3,8,7,5,4,6,1,2]=>{{1,3,7},{2,8},{4,5},{6}}=>[3,8,7,5,4,6,1,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] [6,8,3,5,4,7,1,2]=>{{1,6,7},{2,8},{3},{4,5}}=>[6,8,3,5,4,7,1,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] [7,6,3,5,4,8,1,2]=>{{1,7},{2,6,8},{3},{4,5}}=>[7,6,3,5,4,8,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] [1,6,2,5,4,8,7,3]=>{{1},{2,6,8},{3},{4,5},{7}}=>[1,6,3,5,4,8,7,2]=>[1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] [4,1,6,2,8,7,5,3]=>{{1,4},{2},{3,6,7},{5,8}}=>[4,2,6,1,8,7,3,5]=>[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0] [7,8,1,2,4,6,5,3]=>{{1,7},{2,8},{3},{4},{5},{6}}=>[7,8,3,4,5,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] [7,8,3,1,4,2,6,5]=>{{1,7},{2,8},{3},{4},{5},{6}}=>[7,8,3,4,5,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] [4,3,6,1,8,2,7,5]=>{{1,4},{2,3,6},{5,8},{7}}=>[4,3,6,1,8,2,7,5]=>[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0] [2,3,8,5,4,1,6,7]=>{{1,2,3,8},{4,5},{6},{7}}=>[2,3,8,5,4,6,7,1]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0] [7,5,1,6,4,3,2,8]=>{{1,7},{2,5},{3},{4,6},{8}}=>[7,5,3,6,2,4,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] [3,4,6,1,5,8,2,7]=>{{1,3,6,8},{2,4},{5},{7}}=>[3,4,6,2,5,8,7,1]=>[1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0] [7,8,4,1,5,3,2,6]=>{{1,7},{2,8},{3,4},{5},{6}}=>[7,8,4,3,5,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] [5,1,7,6,4,3,2,8]=>{{1,5},{2},{3,7},{4,6},{8}}=>[5,2,7,6,1,4,3,8]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] [1,8,7,6,4,3,2,5]=>{{1},{2,8},{3,7},{4,6},{5}}=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] [3,1,6,7,5,8,2,4]=>{{1,3,6,8},{2},{4,7},{5}}=>[3,2,6,7,5,8,4,1]=>[1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0] [7,8,2,1,4,5,6,3]=>{{1,7},{2,8},{3},{4},{5},{6}}=>[7,8,3,4,5,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] [4,3,6,1,5,7,2,8]=>{{1,4},{2,3,6,7},{5},{8}}=>[4,3,6,1,5,7,2,8]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0] [1,3,6,8,5,7,2,4]=>{{1},{2,3,6,7},{4,8},{5}}=>[1,3,6,8,5,7,2,4]=>[1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0] [2,4,6,3,7,1,8,5]=>{{1,2,4},{3,6},{5,7,8}}=>[2,4,6,1,7,3,8,5]=>[1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0] [1,3,6,4,8,7,2,5]=>{{1},{2,3,6,7},{4},{5,8}}=>[1,3,6,4,8,7,2,5]=>[1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0] [4,1,6,7,3,8,2,5]=>{{1,4,7},{2},{3,6,8},{5}}=>[4,2,6,7,5,8,1,3]=>[1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0] [1,2,4,5,8,3,7,6]=>{{1},{2},{3,4,5,8},{6},{7}}=>[1,2,4,5,8,6,7,3]=>[1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0] [7,8,2,3,4,1,6,5]=>{{1,7},{2,8},{3},{4},{5},{6}}=>[7,8,3,4,5,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] [7,8,1,4,6,3,2,5]=>{{1,7},{2,8},{3},{4},{5,6}}=>[7,8,3,4,6,5,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] [3,1,6,4,7,8,2,5]=>{{1,3,6,8},{2},{4},{5,7}}=>[3,2,6,4,7,8,5,1]=>[1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0] [1,8,5,7,4,3,2,6]=>{{1},{2,8},{3,5},{4,7},{6}}=>[1,8,5,7,3,6,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] [2,4,7,5,1,3,8,6]=>{{1,2,4,5},{3,7,8},{6}}=>[2,4,7,5,1,6,8,3]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0] [7,8,4,6,1,3,2,5]=>{{1,7},{2,8},{3,4,6},{5}}=>[7,8,4,6,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] [3,5,6,4,1,8,2,7]=>{{1,3,6,8},{2,5},{4},{7}}=>[3,5,6,4,2,8,7,1]=>[1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0] [2,6,4,5,1,3,8,7]=>{{1,2,6},{3,4,5},{7,8}}=>[2,6,4,5,3,1,8,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0] [1,6,5,8,4,3,2,7]=>{{1},{2,6},{3,5},{4,8},{7}}=>[1,6,5,8,3,2,7,4]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] [7,6,5,1,4,3,2,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] [1,2,3,4,5,6,9,7,8]=>{{1},{2},{3},{4},{5},{6},{7,9},{8}}=>[1,2,3,4,5,6,9,8,7]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] [1,4,2,5,6,7,8,9,3]=>{{1},{2,4,5,6,7,8,9},{3}}=>[1,4,3,5,6,7,8,9,2]=>[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] [3,4,6,2,7,1,5,8]=>{{1,3,6},{2,4},{5,7},{8}}=>[3,4,6,2,7,1,5,8]=>[1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0] [3,2,7,5,4,1,6,8]=>{{1,3,7},{2},{4,5},{6},{8}}=>[3,2,7,5,4,6,1,8]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0] [4,3,6,2,8,1,5,7]=>{{1,4},{2,3,6},{5,8},{7}}=>[4,3,6,1,8,2,7,5]=>[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0] [6,1,2,5,4,7,8,3]=>{{1,6,7,8},{2},{3},{4,5}}=>[6,2,3,5,4,7,8,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0] [6,2,4,5,1,3,7,8]=>{{1,6},{2},{3,4,5},{7},{8}}=>[6,2,4,5,3,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] [4,3,6,8,1,7,2,5]=>{{1,4,8},{2,3,6,7},{5}}=>[4,3,6,8,5,7,2,1]=>[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0] [5,3,6,4,1,7,2,8]=>{{1,5},{2,3,6,7},{4},{8}}=>[5,3,6,4,1,7,2,8]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0] [1,4,6,3,7,5,8,2]=>{{1},{2,4},{3,6},{5,7,8}}=>[1,4,6,2,7,3,8,5]=>[1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0] [4,6,7,2,5,8,1,3]=>{{1,4},{2,6,8},{3,7},{5}}=>[4,6,7,1,5,8,3,2]=>[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] [7,5,4,6,2,8,1,3]=>{{1,7},{2,5},{3,4,6,8}}=>[7,5,4,6,2,8,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] [1,7,5,4,3,8,6,2]=>{{1},{2,7},{3,5},{4},{6,8}}=>[1,7,5,4,3,8,2,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0] [1,5,8,4,3,6,7,2]=>{{1},{2,5},{3,8},{4},{6},{7}}=>[1,5,8,4,2,6,7,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] [5,6,3,2,7,1,8,4]=>{{1,5,7,8},{2,6},{3},{4}}=>[5,6,3,4,7,2,8,1]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0] [5,4,6,2,8,1,7,3]=>{{1,5,8},{2,4},{3,6},{7}}=>[5,4,6,2,8,3,7,1]=>[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0] [2,4,1,7,8,5,3,6]=>{{1,2,4,7},{3},{5,8},{6}}=>[2,4,3,7,8,6,1,5]=>[1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0] [5,3,8,2,1,6,4,7]=>{{1,5},{2,3,8},{4},{6},{7}}=>[5,3,8,4,1,6,7,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0] [3,7,5,8,2,1,4,6]=>{{1,3,5},{2,7},{4,8},{6}}=>[3,7,5,8,1,6,2,4]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0] [7,3,2,8,5,1,6,4]=>{{1,7},{2,3},{4,8},{5},{6}}=>[7,3,2,8,5,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] [8,6,4,3,2,1,7,5]=>{{1,8},{2,6},{3,4},{5},{7}}=>[8,6,4,3,5,2,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [7,6,4,3,2,1,8,5]=>{{1,7,8},{2,6},{3,4},{5}}=>[7,6,4,3,5,2,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] [7,8,4,3,2,1,6,5]=>{{1,7},{2,8},{3,4},{5},{6}}=>[7,8,4,3,5,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] [5,4,7,2,1,8,6,3]=>{{1,5},{2,4},{3,7},{6,8}}=>[5,4,7,2,1,8,3,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0] [6,3,7,2,5,1,8,4]=>{{1,6},{2,3,7,8},{4},{5}}=>[6,3,7,4,5,1,8,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0] [2,1,5,7,8,6,3,4]=>{{1,2},{3,5,8},{4,7},{6}}=>[2,1,5,7,8,6,4,3]=>[1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0] [6,3,7,2,8,1,4,5]=>{{1,6},{2,3,7},{4},{5,8}}=>[6,3,7,4,8,1,2,5]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0] [2,4,1,7,8,3,6,5]=>{{1,2,4,7},{3},{5,8},{6}}=>[2,4,3,7,8,6,1,5]=>[1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0] [3,7,2,8,6,1,4,5]=>{{1,3},{2,7},{4,8},{5,6}}=>[3,7,1,8,6,5,2,4]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0] [3,6,8,2,1,7,4,5]=>{{1,3,8},{2,6,7},{4},{5}}=>[3,6,8,4,5,7,2,1]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0] [5,3,8,2,1,4,7,6]=>{{1,5},{2,3,8},{4},{6},{7}}=>[5,3,8,4,1,6,7,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0] [7,3,2,8,6,1,4,5]=>{{1,7},{2,3},{4,8},{5,6}}=>[7,3,2,8,6,5,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] [5,4,1,6,3,2,8,7]=>{{1,5},{2,4,6},{3},{7,8}}=>[5,4,3,6,1,2,8,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0] [5,4,1,6,2,3,8,7]=>{{1,5},{2,4,6},{3},{7,8}}=>[5,4,3,6,1,2,8,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0] [5,7,1,6,2,8,3,4]=>{{1,5},{2,7},{3},{4,6,8}}=>[5,7,3,6,1,8,2,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0] [5,7,1,6,2,8,4,3]=>{{1,5},{2,7},{3},{4,6,8}}=>[5,7,3,6,1,8,2,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0] [2,7,6,5,1,8,3,4]=>{{1,2,7},{3,6,8},{4,5}}=>[2,7,6,5,4,8,1,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0] [2,7,6,5,1,8,4,3]=>{{1,2,7},{3,6,8},{4,5}}=>[2,7,6,5,4,8,1,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0] [2,3,6,5,1,4,8,7]=>{{1,2,3,6},{4,5},{7,8}}=>[2,3,6,5,4,1,8,7]=>[1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0] [2,3,6,4,1,5,8,7]=>{{1,2,3,6},{4},{5},{7,8}}=>[2,3,6,4,5,1,8,7]=>[1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0] [2,3,6,1,5,4,8,7]=>{{1,2,3,6},{4},{5},{7,8}}=>[2,3,6,4,5,1,8,7]=>[1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0] [2,7,6,1,4,8,5,3]=>{{1,2,7},{3,6,8},{4},{5}}=>[2,7,6,4,5,8,1,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0] [2,7,6,1,4,8,3,5]=>{{1,2,7},{3,6,8},{4},{5}}=>[2,7,6,4,5,8,1,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0] [7,3,5,1,8,4,2,6]=>{{1,7},{2,3,5,8},{4},{6}}=>[7,3,5,4,8,6,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] [7,3,5,1,8,6,4,2]=>{{1,7},{2,3,5,8},{4},{6}}=>[7,3,5,4,8,6,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] [2,7,6,1,5,8,4,3]=>{{1,2,7},{3,6,8},{4},{5}}=>[2,7,6,4,5,8,1,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0] [2,7,6,4,1,8,5,3]=>{{1,2,7},{3,6,8},{4},{5}}=>[2,7,6,4,5,8,1,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0] [2,1,7,6,3,8,5,4]=>{{1,2},{3,7},{4,6,8},{5}}=>[2,1,7,6,5,8,3,4]=>[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0] [2,1,7,6,3,8,4,5]=>{{1,2},{3,7},{4,6,8},{5}}=>[2,1,7,6,5,8,3,4]=>[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0] [5,7,3,6,2,8,4,1]=>{{1,5},{2,7},{3},{4,6,8}}=>[5,7,3,6,1,8,2,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0] [2,7,6,4,1,8,3,5]=>{{1,2,7},{3,6,8},{4},{5}}=>[2,7,6,4,5,8,1,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0] [7,3,5,1,8,6,2,4]=>{{1,7},{2,3,5,8},{4},{6}}=>[7,3,5,4,8,6,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] [6,3,5,1,8,2,4,7]=>{{1,6},{2,3,5,8},{4},{7}}=>[6,3,5,4,8,1,7,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] [2,3,4,8,7,6,1,5]=>{{1,2,3,4,8},{5,7},{6}}=>[2,3,4,8,7,6,5,1]=>[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0] [2,3,4,8,5,7,1,6]=>{{1,2,3,4,8},{5},{6,7}}=>[2,3,4,8,5,7,6,1]=>[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0] [7,3,5,4,8,1,2,6]=>{{1,7},{2,3,5,8},{4},{6}}=>[7,3,5,4,8,6,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] [6,4,3,5,8,7,2,1]=>{{1,6,7},{2,4,5,8},{3}}=>[6,4,3,5,8,7,1,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] [2,1,4,5,8,7,3,6]=>{{1,2},{3,4,5,8},{6,7}}=>[2,1,4,5,8,7,6,3]=>[1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0] [6,4,3,5,8,7,1,2]=>{{1,6,7},{2,4,5,8},{3}}=>[6,4,3,5,8,7,1,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] [7,3,5,4,8,1,6,2]=>{{1,7},{2,3,5,8},{4},{6}}=>[7,3,5,4,8,6,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] [2,3,4,8,7,5,6,1]=>{{1,2,3,4,8},{5,7},{6}}=>[2,3,4,8,7,6,5,1]=>[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0] [2,3,4,8,7,5,1,6]=>{{1,2,3,4,8},{5,7},{6}}=>[2,3,4,8,7,6,5,1]=>[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0] [2,7,6,5,4,8,1,3]=>{{1,2,7},{3,6,8},{4,5}}=>[2,7,6,5,4,8,1,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0] [7,3,5,6,8,4,1,2]=>{{1,7},{2,3,5,8},{4,6}}=>[7,3,5,6,8,4,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] [7,3,5,6,8,1,4,2]=>{{1,7},{2,3,5,8},{4,6}}=>[7,3,5,6,8,4,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] [7,3,5,6,8,1,2,4]=>{{1,7},{2,3,5,8},{4,6}}=>[7,3,5,6,8,4,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] [6,4,1,5,8,7,2,3]=>{{1,6,7},{2,4,5,8},{3}}=>[6,4,3,5,8,7,1,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] [6,4,1,5,8,7,3,2]=>{{1,6,7},{2,4,5,8},{3}}=>[6,4,3,5,8,7,1,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] [6,4,1,5,8,3,7,2]=>{{1,6},{2,4,5,8},{3},{7}}=>[6,4,3,5,8,1,7,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] [5,7,1,6,3,8,2,4]=>{{1,5},{2,7},{3},{4,6,8}}=>[5,7,3,6,1,8,2,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0] [6,4,1,5,8,3,2,7]=>{{1,6},{2,4,5,8},{3},{7}}=>[6,4,3,5,8,1,7,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] [7,4,1,5,8,2,3,6]=>{{1,7},{2,4,5,8},{3},{6}}=>[7,4,3,5,8,6,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] [7,4,1,5,8,2,6,3]=>{{1,7},{2,4,5,8},{3},{6}}=>[7,4,3,5,8,6,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] [6,3,5,7,8,2,1,4]=>{{1,6},{2,3,5,8},{4,7}}=>[6,3,5,7,8,1,4,2]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0] [6,3,5,7,8,2,4,1]=>{{1,6},{2,3,5,8},{4,7}}=>[6,3,5,7,8,1,4,2]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0] [2,7,6,4,5,8,3,1]=>{{1,2,7},{3,6,8},{4},{5}}=>[2,7,6,4,5,8,1,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0] [5,7,3,6,1,8,4,2]=>{{1,5},{2,7},{3},{4,6,8}}=>[5,7,3,6,1,8,2,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0] [2,1,4,5,8,6,3,7]=>{{1,2},{3,4,5,8},{6},{7}}=>[2,1,4,5,8,6,7,3]=>[1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0] [7,3,5,4,8,6,2,1]=>{{1,7},{2,3,5,8},{4},{6}}=>[7,3,5,4,8,6,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] [2,3,4,8,5,6,1,7]=>{{1,2,3,4,8},{5},{6},{7}}=>[2,3,4,8,5,6,7,1]=>[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0] [2,3,4,8,7,1,6,5]=>{{1,2,3,4,8},{5,7},{6}}=>[2,3,4,8,7,6,5,1]=>[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0] [2,3,4,8,1,7,6,5]=>{{1,2,3,4,8},{5},{6,7}}=>[2,3,4,8,5,7,6,1]=>[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0] [2,3,4,8,1,6,7,5]=>{{1,2,3,4,8},{5},{6},{7}}=>[2,3,4,8,5,6,7,1]=>[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0] [2,3,4,8,5,1,7,6]=>{{1,2,3,4,8},{5},{6},{7}}=>[2,3,4,8,5,6,7,1]=>[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0] [6,3,5,4,8,2,7,1]=>{{1,6},{2,3,5,8},{4},{7}}=>[6,3,5,4,8,1,7,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] [7,4,3,5,8,2,1,6]=>{{1,7},{2,4,5,8},{3},{6}}=>[7,4,3,5,8,6,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] [2,1,4,5,8,3,7,6]=>{{1,2},{3,4,5,8},{6},{7}}=>[2,1,4,5,8,6,7,3]=>[1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0] [7,4,3,5,8,2,6,1]=>{{1,7},{2,4,5,8},{3},{6}}=>[7,4,3,5,8,6,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] [6,3,5,4,8,2,1,7]=>{{1,6},{2,3,5,8},{4},{7}}=>[6,3,5,4,8,1,7,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] [2,3,4,8,5,1,6,7]=>{{1,2,3,4,8},{5},{6},{7}}=>[2,3,4,8,5,6,7,1]=>[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0] [2,3,4,8,1,6,5,7]=>{{1,2,3,4,8},{5},{6},{7}}=>[2,3,4,8,5,6,7,1]=>[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0] [2,3,4,8,1,5,7,6]=>{{1,2,3,4,8},{5},{6},{7}}=>[2,3,4,8,5,6,7,1]=>[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0] [1,8,5,7,2,6,3,4]=>{{1},{2,8},{3,5},{4,7},{6}}=>[1,8,5,7,3,6,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] [2,8,6,7,1,5,3,4]=>{{1,2,8},{3,6},{4,7},{5}}=>[2,8,6,7,5,3,4,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] [2,8,5,7,1,6,3,4]=>{{1,2,8},{3,5},{4,7},{6}}=>[2,8,5,7,3,6,4,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] [3,8,4,7,5,6,1,2]=>{{1,3,4,7},{2,8},{5},{6}}=>[3,8,4,7,5,6,1,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] [7,5,2,8,6,4,1,3]=>{{1,7},{2,5,6},{3},{4,8}}=>[7,5,3,8,6,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] [7,5,1,8,6,2,3,4]=>{{1,7},{2,5,6},{3},{4,8}}=>[7,5,3,8,6,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] [7,4,8,6,1,5,2,3]=>{{1,7},{2,4,6},{3,8},{5}}=>[7,4,8,6,5,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] [7,3,8,6,2,5,1,4]=>{{1,7},{2,3,8},{4,6},{5}}=>[7,3,8,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] [7,3,1,8,4,2,5,6]=>{{1,7},{2,3},{4,8},{5},{6}}=>[7,3,2,8,5,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] [2,6,3,7,8,5,4,1]=>{{1,2,6},{3},{4,7},{5,8}}=>[2,6,3,7,8,1,4,5]=>[1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0] [2,6,3,7,8,4,5,1]=>{{1,2,6},{3},{4,7},{5,8}}=>[2,6,3,7,8,1,4,5]=>[1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0] [2,4,7,3,5,6,8,1]=>{{1,2,4},{3,7,8},{5},{6}}=>[2,4,7,1,5,6,8,3]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0] [2,5,3,7,8,1,6,4]=>{{1,2,5,8},{3},{4,7},{6}}=>[2,5,3,7,8,6,4,1]=>[1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0] [3,1,5,4,7,8,2,6]=>{{1,3,5,7},{2},{4},{6,8}}=>[3,2,5,4,7,8,1,6]=>[1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0] [5,2,4,8,6,1,3,7]=>{{1,5,6},{2},{3,4,8},{7}}=>[5,2,4,8,6,1,7,3]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] [5,2,3,8,4,6,7,1]=>{{1,5},{2},{3},{4,8},{6},{7}}=>[5,2,3,8,1,6,7,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] [4,8,1,3,6,7,2,5]=>{{1,4},{2,8},{3},{5,6,7}}=>[4,8,3,1,6,7,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] [5,3,8,2,4,7,1,6]=>{{1,5},{2,3,8},{4},{6,7}}=>[5,3,8,4,1,7,6,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0] [6,4,2,8,1,3,7,5]=>{{1,6},{2,4,8},{3},{5},{7}}=>[6,4,3,8,5,1,7,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] [6,3,8,2,5,1,7,4]=>{{1,6},{2,3,8},{4},{5},{7}}=>[6,3,8,4,5,1,7,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] [6,3,8,1,4,7,2,5]=>{{1,6,7},{2,3,8},{4},{5}}=>[6,3,8,4,5,7,1,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] [5,8,4,1,2,7,6,3]=>{{1,5},{2,8},{3,4},{6,7}}=>[5,8,4,3,1,7,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] [6,5,1,2,8,7,3,4]=>{{1,6,7},{2,5,8},{3},{4}}=>[6,5,3,4,8,7,1,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] [5,3,1,6,4,2,7,8]=>{{1,5},{2,3},{4,6},{7},{8}}=>[5,3,2,6,1,4,7,8]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0] [4,6,1,7,5,2,8,3]=>{{1,4,7,8},{2,6},{3},{5}}=>[4,6,3,7,5,2,8,1]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0] [4,5,1,7,2,6,3,8]=>{{1,4,7},{2,5},{3},{6},{8}}=>[4,5,3,7,2,6,1,8]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0] [3,5,6,1,2,8,7,4]=>{{1,3,6,8},{2,5},{4},{7}}=>[3,5,6,4,2,8,7,1]=>[1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0] [3,5,7,1,8,6,2,4]=>{{1,3,7},{2,5,8},{4},{6}}=>[3,5,7,4,8,6,1,2]=>[1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0] [3,6,2,7,5,1,8,4]=>{{1,3},{2,6},{4,7,8},{5}}=>[3,6,1,7,5,2,8,4]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0] [4,2,5,7,1,8,6,3]=>{{1,4,7},{2},{3,5},{6,8}}=>[4,2,5,7,3,8,1,6]=>[1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0] [3,4,7,2,8,6,1,5]=>{{1,3,7},{2,4},{5,8},{6}}=>[3,4,7,2,8,6,1,5]=>[1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0] [3,4,6,2,8,1,5,7]=>{{1,3,6},{2,4},{5,8},{7}}=>[3,4,6,2,8,1,7,5]=>[1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0] [3,5,2,6,8,1,7,4]=>{{1,3},{2,5,8},{4,6},{7}}=>[3,5,1,6,8,4,7,2]=>[1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0] [4,2,5,6,1,3,8,7]=>{{1,4,6},{2},{3,5},{7,8}}=>[4,2,5,6,3,1,8,7]=>[1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0] [4,3,1,2,5,6,8,7]=>{{1,4},{2,3},{5},{6},{7,8}}=>[4,3,2,1,5,6,8,7]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0] [5,3,6,8,4,7,2,1]=>{{1,5},{2,3,6,7},{4,8}}=>[5,3,6,8,1,7,2,4]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0] [3,7,2,5,4,8,6,1]=>{{1,3},{2,7},{4,5},{6,8}}=>[3,7,1,5,4,8,2,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0] [8,4,2,5,7,3,6,1]=>{{1,8},{2,4,5,7},{3},{6}}=>[8,4,3,5,7,6,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [4,7,2,5,8,3,6,1]=>{{1,4,5,8},{2,7},{3},{6}}=>[4,7,3,5,8,6,2,1]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0] [3,1,6,5,4,8,2,7]=>{{1,3,6,8},{2},{4,5},{7}}=>[3,2,6,5,4,8,7,1]=>[1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0] [4,1,6,5,8,3,2,7]=>{{1,4,5,8},{2},{3,6},{7}}=>[4,2,6,5,8,3,7,1]=>[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0] [2,7,1,5,4,3,8,6]=>{{1,2,7,8},{3},{4,5},{6}}=>[2,7,3,5,4,6,8,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0] [8,2,1,5,4,3,7,6]=>{{1,8},{2},{3},{4,5},{6},{7}}=>[8,2,3,5,4,6,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,4,1,5,7,3,2,6]=>{{1,8},{2,4,5,7},{3},{6}}=>[8,4,3,5,7,6,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,5,6,7,1,3,2,4]=>{{1,8},{2,5},{3,6},{4,7}}=>[8,5,6,7,2,3,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,4,6,1,7,3,2,5]=>{{1,8},{2,4},{3,6},{5,7}}=>[8,4,6,2,7,3,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,3,6,1,4,7,2,5]=>{{1,8},{2,3,6,7},{4},{5}}=>[8,3,6,4,5,7,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [2,7,6,1,4,3,8,5]=>{{1,2,7,8},{3,6},{4},{5}}=>[2,7,6,4,5,3,8,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0] [6,7,8,5,1,3,2,4]=>{{1,6},{2,7},{3,8},{4,5}}=>[6,7,8,5,4,1,2,3]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] [5,7,6,8,2,3,4,1]=>{{1,5},{2,7},{3,6},{4,8}}=>[5,7,6,8,1,3,2,4]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0] [4,7,6,2,8,3,5,1]=>{{1,4},{2,7},{3,6},{5,8}}=>[4,7,6,1,8,3,2,5]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0] [8,3,6,2,4,7,5,1]=>{{1,8},{2,3,6,7},{4},{5}}=>[8,3,6,4,5,7,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [3,7,6,2,4,8,5,1]=>{{1,3,6,8},{2,7},{4},{5}}=>[3,7,6,4,5,8,2,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0] [4,7,3,5,8,6,2,1]=>{{1,4,5,8},{2,7},{3},{6}}=>[4,7,3,5,8,6,2,1]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0] [5,7,6,8,4,1,2,3]=>{{1,5},{2,7},{3,6},{4,8}}=>[5,7,6,8,1,3,2,4]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0] [4,7,6,5,8,1,2,3]=>{{1,4,5,8},{2,7},{3,6}}=>[4,7,6,5,8,3,2,1]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0] [3,7,6,5,1,8,2,4]=>{{1,3,6,8},{2,7},{4,5}}=>[3,7,6,5,4,8,2,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0] [8,1,2,3,4,5,6,7,9]=>{{1,8},{2},{3},{4},{5},{6},{7},{9}}=>[8,2,3,4,5,6,7,1,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] [1,9,2,3,4,5,6,7,8]=>{{1},{2,9},{3},{4},{5},{6},{7},{8}}=>[1,9,3,4,5,6,7,8,2]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [9,1,2,3,4,5,6,7,8,10]=>{{1,9},{2},{3},{4},{5},{6},{7},{8},{10}}=>[9,2,3,4,5,6,7,8,1,10]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] [1,10,2,3,4,5,6,7,8,9]=>{{1},{2,10},{3},{4},{5},{6},{7},{8},{9}}=>[1,10,3,4,5,6,7,8,9,2]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] [3,6,4,8,7,5,1,2]=>{{1,3,4,8},{2,6},{5,7}}=>[3,6,4,8,7,2,5,1]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0] [3,4,7,2,8,1,6,5]=>{{1,3,7},{2,4},{5,8},{6}}=>[3,4,7,2,8,6,1,5]=>[1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0] [1,4,7,2,5,8,6,3]=>{{1},{2,4},{3,7},{5},{6,8}}=>[1,4,7,2,5,8,3,6]=>[1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0] [6,8,5,3,4,7,1,2]=>{{1,6,7},{2,8},{3,5},{4}}=>[6,8,5,4,3,7,1,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] [1,6,5,4,2,8,7,3]=>{{1},{2,6,8},{3,5},{4},{7}}=>[1,6,5,4,3,8,7,2]=>[1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] [1,8,5,2,7,3,6,4]=>{{1},{2,8},{3,5,7},{4},{6}}=>[1,8,5,4,7,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] [4,2,7,5,1,8,6,3]=>{{1,4,5},{2},{3,7},{6,8}}=>[4,2,7,5,1,8,3,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0] [7,8,1,4,2,6,5,3]=>{{1,7},{2,8},{3},{4},{5},{6}}=>[7,8,3,4,5,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] [1,3,6,4,8,2,5,7]=>{{1},{2,3,6},{4},{5,8},{7}}=>[1,3,6,4,8,2,7,5]=>[1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0] [4,8,5,3,1,7,2,6]=>{{1,4},{2,8},{3,5},{6,7}}=>[4,8,5,1,3,7,6,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] [7,4,5,3,2,8,1,6]=>{{1,7},{2,4},{3,5},{6,8}}=>[7,4,5,2,3,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] [2,5,8,6,4,1,3,7]=>{{1,2,5},{3,8},{4,6},{7}}=>[2,5,8,6,1,4,7,3]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0] [7,2,1,4,5,6,8,3]=>{{1,7,8},{2},{3},{4},{5},{6}}=>[7,2,3,4,5,6,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] [7,6,5,8,1,4,2,3]=>{{1,7},{2,6},{3,5},{4,8}}=>[7,6,5,8,3,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] [5,8,6,7,3,2,1,4]=>{{1,5},{2,8},{3,6},{4,7}}=>[5,8,6,7,1,3,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] [1,6,4,3,7,2,8,5]=>{{1},{2,6},{3,4},{5,7,8}}=>[1,6,4,3,7,2,8,5]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0] [2,6,3,4,8,7,1,5]=>{{1,2,6,7},{3},{4},{5,8}}=>[2,6,3,4,8,7,1,5]=>[1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0] [7,1,3,4,5,2,8,6]=>{{1,7,8},{2},{3},{4},{5},{6}}=>[7,2,3,4,5,6,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] [7,8,2,4,6,3,1,5]=>{{1,7},{2,8},{3},{4},{5,6}}=>[7,8,3,4,6,5,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] [3,2,6,4,7,8,1,5]=>{{1,3,6,8},{2},{4},{5,7}}=>[3,2,6,4,7,8,5,1]=>[1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0] [2,8,5,7,4,3,1,6]=>{{1,2,8},{3,5},{4,7},{6}}=>[2,8,5,7,3,6,4,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] [5,3,8,7,1,2,6,4]=>{{1,5},{2,3,8},{4,7},{6}}=>[5,3,8,7,1,6,4,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0] [3,5,7,8,4,1,2,6]=>{{1,3,7},{2,5},{4,8},{6}}=>[3,5,7,8,2,6,1,4]=>[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] [1,4,7,5,3,8,2,6]=>{{1},{2,4,5},{3,7},{6,8}}=>[1,4,7,5,2,8,3,6]=>[1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0] [2,4,6,7,3,1,8,5]=>{{1,2,4,7,8},{3,6},{5}}=>[2,4,6,7,5,3,8,1]=>[1,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0] [7,8,4,6,3,1,2,5]=>{{1,7},{2,8},{3,4,6},{5}}=>[7,8,4,6,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] [3,6,5,8,4,2,1,7]=>{{1,3,5},{2,6},{4,8},{7}}=>[3,6,5,8,1,2,7,4]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0] [4,8,6,5,3,2,7,1]=>{{1,4,5},{2,8},{3,6},{7}}=>[4,8,6,5,1,3,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] [6,7,5,8,2,1,4,3]=>{{1,6},{2,7},{3,5},{4,8}}=>[6,7,5,8,3,1,2,4]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0] [1,3,8,5,7,6,2,4]=>{{1},{2,3,8},{4,5,7},{6}}=>[1,3,8,5,7,6,4,2]=>[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] [3,8,2,5,6,1,7,4]=>{{1,3},{2,8},{4,5,6},{7}}=>[3,8,1,5,6,4,7,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] [7,6,5,8,1,2,4,3]=>{{1,7},{2,6},{3,5},{4,8}}=>[7,6,5,8,3,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] [3,2,8,5,7,6,1,4]=>{{1,3,8},{2},{4,5,7},{6}}=>[3,2,8,5,7,6,4,1]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0] [1,2,8,6,5,7,3,4]=>{{1},{2},{3,8},{4,6,7},{5}}=>[1,2,8,6,5,7,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] [4,2,1,3,6,7,8,5]=>{{1,4},{2},{3},{5,6,7,8}}=>[4,2,3,1,6,7,8,5]=>[1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0] [8,2,5,6,3,7,1,4]=>{{1,8},{2},{3,5},{4,6,7}}=>[8,2,5,6,3,7,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [7,2,6,5,4,1,8,3]=>{{1,7,8},{2},{3,6},{4,5}}=>[7,2,6,5,4,3,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] [6,1,3,5,4,7,8,2]=>{{1,6,7,8},{2},{3},{4,5}}=>[6,2,3,5,4,7,8,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0] [6,1,5,3,4,7,8,2]=>{{1,6,7,8},{2},{3,5},{4}}=>[6,2,5,4,3,7,8,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0] [7,5,6,2,4,1,8,3]=>{{1,7,8},{2,5},{3,6},{4}}=>[7,5,6,4,2,3,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] [8,5,2,6,3,7,1,4]=>{{1,8},{2,5},{3},{4,6,7}}=>[8,5,3,6,2,7,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [4,3,1,2,6,7,8,5]=>{{1,4},{2,3},{5,6,7,8}}=>[4,3,2,1,6,7,8,5]=>[1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0] [5,8,1,6,3,7,2,4]=>{{1,5},{2,8},{3},{4,6,7}}=>[5,8,3,6,1,7,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] [1,7,6,5,4,2,8,3]=>{{1},{2,7,8},{3,6},{4,5}}=>[1,7,6,5,4,3,8,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0] [5,7,6,1,4,2,8,3]=>{{1,5},{2,7,8},{3,6},{4}}=>[5,7,6,4,1,3,8,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0] [7,1,4,2,6,5,8,3]=>{{1,7,8},{2},{3,4},{5,6}}=>[7,2,4,3,6,5,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] [2,7,4,1,5,6,8,3]=>{{1,2,7,8},{3,4},{5},{6}}=>[2,7,4,3,5,6,8,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0] [5,7,6,4,1,2,8,3]=>{{1,5},{2,7,8},{3,6},{4}}=>[5,7,6,4,1,3,8,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0] [4,7,6,1,5,2,8,3]=>{{1,4},{2,7,8},{3,6},{5}}=>[4,7,6,1,5,3,8,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0] [6,1,5,4,3,7,8,2]=>{{1,6,7,8},{2},{3,5},{4}}=>[6,2,5,4,3,7,8,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0] [7,5,6,4,2,1,8,3]=>{{1,7,8},{2,5},{3,6},{4}}=>[7,5,6,4,2,3,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] [8,3,2,6,5,7,1,4]=>{{1,8},{2,3},{4,6,7},{5}}=>[8,3,2,6,5,7,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [6,1,3,4,5,7,8,2]=>{{1,6,7,8},{2},{3},{4},{5}}=>[6,2,3,4,5,7,8,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0] [3,4,7,8,5,6,1,2]=>{{1,3,7},{2,4,8},{5},{6}}=>[3,4,7,8,5,6,1,2]=>[1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0] [1,4,7,2,5,8,3,6]=>{{1},{2,4},{3,7},{5},{6,8}}=>[1,4,7,2,5,8,3,6]=>[1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0] [6,8,3,4,5,7,1,2]=>{{1,6,7},{2,8},{3},{4},{5}}=>[6,8,3,4,5,7,1,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] [6,3,7,5,8,4,1,2]=>{{1,6},{2,3,7},{4,5,8}}=>[6,3,7,5,8,1,2,4]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0] [7,3,8,6,4,5,1,2]=>{{1,7},{2,3,8},{4,6},{5}}=>[7,3,8,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] [3,2,7,6,5,1,4,8]=>{{1,3,7},{2},{4,6},{5},{8}}=>[3,2,7,6,5,4,1,8]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0] [2,3,8,6,4,1,5,7]=>{{1,2,3,8},{4,6},{5},{7}}=>[2,3,8,6,5,4,7,1]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0] [4,3,6,2,5,1,8,7]=>{{1,4},{2,3,6},{5},{7,8}}=>[4,3,6,1,5,2,8,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0] [7,8,3,2,5,1,4,6]=>{{1,7},{2,8},{3},{4},{5},{6}}=>[7,8,3,4,5,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] [7,8,1,2,5,6,3,4]=>{{1,7},{2,8},{3},{4},{5},{6}}=>[7,8,3,4,5,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] [2,1,8,6,4,7,3,5]=>{{1,2},{3,8},{4,6,7},{5}}=>[2,1,8,6,5,7,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] [2,4,7,5,1,8,3,6]=>{{1,2,4,5},{3,7},{6,8}}=>[2,4,7,5,1,8,3,6]=>[1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0] [2,8,3,4,5,1,7,6]=>{{1,2,8},{3},{4},{5},{6},{7}}=>[2,8,3,4,5,6,7,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,3,7,4,8,2,5,6]=>{{1},{2,3,7},{4},{5,8},{6}}=>[1,3,7,4,8,6,2,5]=>[1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0] [5,3,7,4,1,6,2,8]=>{{1,5},{2,3,7},{4},{6},{8}}=>[5,3,7,4,1,6,2,8]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] [5,8,7,6,3,1,2,4]=>{{1,5},{2,8},{3,7},{4,6}}=>[5,8,7,6,1,4,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] [7,5,6,8,1,4,3,2]=>{{1,7},{2,5},{3,6},{4,8}}=>[7,5,6,8,2,3,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] [2,4,7,1,6,5,3,8]=>{{1,2,4},{3,7},{5,6},{8}}=>[2,4,7,1,6,5,3,8]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0] [1,2,7,8,5,4,3,6]=>{{1},{2},{3,7},{4,8},{5},{6}}=>[1,2,7,8,5,6,3,4]=>[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] [4,2,1,3,6,5,8,7]=>{{1,4},{2},{3},{5,6},{7,8}}=>[4,2,3,1,6,5,8,7]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] [2,8,1,4,5,6,3,7]=>{{1,2,8},{3},{4},{5},{6},{7}}=>[2,8,3,4,5,6,7,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,8,2,1,4,5,3,6]=>{{1,7},{2,8},{3},{4},{5},{6}}=>[7,8,3,4,5,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] [7,8,4,1,5,3,6,2]=>{{1,7},{2,8},{3,4},{5},{6}}=>[7,8,4,3,5,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] [3,4,6,1,5,8,7,2]=>{{1,3,6,8},{2,4},{5},{7}}=>[3,4,6,2,5,8,7,1]=>[1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0] [7,5,1,6,4,3,8,2]=>{{1,7,8},{2,5},{3},{4,6}}=>[7,5,3,6,2,4,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] [6,5,1,8,2,7,4,3]=>{{1,6,7},{2,5},{3},{4,8}}=>[6,5,3,8,2,7,1,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] [5,6,1,7,4,8,2,3]=>{{1,5},{2,6,8},{3},{4,7}}=>[5,6,3,7,1,8,4,2]=>[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] [2,6,5,7,3,4,8,1]=>{{1,2,6},{3,5},{4,7,8}}=>[2,6,5,7,3,1,8,4]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0] [8,5,3,6,2,7,4,1]=>{{1,8},{2,5},{3},{4,6,7}}=>[8,5,3,6,2,7,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,3,7,4,6,8,2,5]=>{{1},{2,3,7},{4},{5,6,8}}=>[1,3,7,4,6,8,2,5]=>[1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0] [1,7,6,5,4,8,2,3]=>{{1},{2,7},{3,6,8},{4,5}}=>[1,7,6,5,4,8,2,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0] [6,1,7,5,3,8,2,4]=>{{1,6,8},{2},{3,7},{4,5}}=>[6,2,7,5,4,8,3,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0] [2,1,7,5,6,8,3,4]=>{{1,2},{3,7},{4,5,6,8}}=>[2,1,7,5,6,8,3,4]=>[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0] [3,8,6,4,2,7,5,1]=>{{1,3,6,7},{2,8},{4},{5}}=>[3,8,6,4,5,7,1,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] [2,8,6,3,7,4,5,1]=>{{1,2,8},{3,6},{4},{5,7}}=>[2,8,6,4,7,3,5,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] [3,8,4,1,7,2,6,5]=>{{1,3,4},{2,8},{5,7},{6}}=>[3,8,4,1,7,6,5,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] [3,7,4,1,8,5,2,6]=>{{1,3,4},{2,7},{5,8},{6}}=>[3,7,4,1,8,6,2,5]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0] [8,5,1,3,7,2,6,4]=>{{1,8},{2,5,7},{3},{4},{6}}=>[8,5,3,4,7,6,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,4,2,1,7,3,6,5]=>{{1,8},{2,4},{3},{5,7},{6}}=>[8,4,3,2,7,6,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [3,7,6,8,4,5,2,1]=>{{1,3,6},{2,7},{4,8},{5}}=>[3,7,6,8,5,1,2,4]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0] [2,7,6,8,5,3,4,1]=>{{1,2,7},{3,6},{4,8},{5}}=>[2,7,6,8,5,3,1,4]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0] [1,4,8,6,7,5,2,3]=>{{1},{2,4,6},{3,8},{5,7}}=>[1,4,8,6,7,2,5,3]=>[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0] [7,3,8,5,4,6,2,1]=>{{1,7},{2,3,8},{4,5},{6}}=>[7,3,8,5,4,6,1,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] [3,4,8,5,6,7,2,1]=>{{1,3,8},{2,4,5,6,7}}=>[3,4,8,5,6,7,2,1]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0] [5,4,3,8,6,7,2,1]=>{{1,5,6,7},{2,4,8},{3}}=>[5,4,3,8,6,7,1,2]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] [5,4,2,8,7,3,6,1]=>{{1,5,7},{2,4,8},{3},{6}}=>[5,4,3,8,7,6,1,2]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] [6,2,5,8,7,3,4,1]=>{{1,6},{2},{3,5,7},{4,8}}=>[6,2,5,8,7,1,3,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] [3,2,8,5,7,4,6,1]=>{{1,3,8},{2},{4,5,7},{6}}=>[3,2,8,5,7,6,4,1]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0] [3,1,8,5,7,6,2,4]=>{{1,3,8},{2},{4,5,7},{6}}=>[3,2,8,5,7,6,4,1]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0] [6,1,5,8,7,4,2,3]=>{{1,6},{2},{3,5,7},{4,8}}=>[6,2,5,8,7,1,3,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] [5,4,1,8,7,6,2,3]=>{{1,5,7},{2,4,8},{3},{6}}=>[5,4,3,8,7,6,1,2]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] [5,8,6,7,4,3,2,1]=>{{1,5},{2,8},{3,6},{4,7}}=>[5,8,6,7,1,3,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] [6,2,1,4,3,5,8,7]=>{{1,6},{2},{3},{4},{5},{7,8}}=>[6,2,3,4,5,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] [8,2,1,4,3,6,5,7]=>{{1,8},{2},{3},{4},{5},{6},{7}}=>[8,2,3,4,5,6,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [2,6,4,1,3,5,8,7]=>{{1,2,6},{3,4},{5},{7,8}}=>[2,6,4,3,5,1,8,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0] [8,4,2,1,3,6,5,7]=>{{1,8},{2,4},{3},{5},{6},{7}}=>[8,4,3,2,5,6,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [4,6,2,1,8,3,5,7]=>{{1,4},{2,6},{3},{5,8},{7}}=>[4,6,3,1,8,2,7,5]=>[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0] [2,8,1,4,3,6,5,7]=>{{1,2,8},{3},{4},{5},{6},{7}}=>[2,8,3,4,5,6,7,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] [4,8,2,1,3,6,5,7]=>{{1,4},{2,8},{3},{5},{6},{7}}=>[4,8,3,1,5,6,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] [6,8,2,1,4,3,5,7]=>{{1,6},{2,8},{3},{4},{5},{7}}=>[6,8,3,4,5,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] [2,6,4,1,8,3,5,7]=>{{1,2,6},{3,4},{5,8},{7}}=>[2,6,4,3,8,1,7,5]=>[1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0] [2,6,4,8,1,3,5,7]=>{{1,2,6},{3,4,8},{5},{7}}=>[2,6,4,8,5,1,7,3]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0] [6,2,1,4,8,3,5,7]=>{{1,6},{2},{3},{4},{5,8},{7}}=>[6,2,3,4,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] [4,2,1,3,8,6,5,7]=>{{1,4},{2},{3},{5,8},{6},{7}}=>[4,2,3,1,8,6,7,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] [6,2,8,1,4,3,5,7]=>{{1,6},{2},{3,8},{4},{5},{7}}=>[6,2,8,4,5,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] [2,1,4,8,6,3,5,7]=>{{1,2},{3,4,8},{5,6},{7}}=>[2,1,4,8,6,5,7,3]=>[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0] [2,4,8,1,6,3,5,7]=>{{1,2,4},{3,8},{5,6},{7}}=>[2,4,8,1,6,5,7,3]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0] [2,4,8,6,1,3,5,7]=>{{1,2,4,6},{3,8},{5},{7}}=>[2,4,8,6,5,1,7,3]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0] [6,2,8,4,1,3,5,7]=>{{1,6},{2},{3,8},{4},{5},{7}}=>[6,2,8,4,5,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] [6,4,8,2,1,3,5,7]=>{{1,6},{2,4},{3,8},{5},{7}}=>[6,4,8,2,5,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] [4,6,8,2,1,3,5,7]=>{{1,4},{2,6},{3,8},{5},{7}}=>[4,6,8,1,5,2,7,3]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] [4,3,6,1,5,2,8,7]=>{{1,4},{2,3,6},{5},{7,8}}=>[4,3,6,1,5,2,8,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0] [4,3,5,2,8,1,7,6]=>{{1,4},{2,3,5,8},{6},{7}}=>[4,3,5,1,8,6,7,2]=>[1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0] [4,3,8,2,6,1,7,5]=>{{1,4},{2,3,8},{5,6},{7}}=>[4,3,8,1,6,5,7,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] [4,3,8,1,7,2,6,5]=>{{1,4},{2,3,8},{5,7},{6}}=>[4,3,8,1,7,6,5,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] [4,3,6,5,8,1,7,2]=>{{1,4,5,8},{2,3,6},{7}}=>[4,3,6,5,8,2,7,1]=>[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0] [6,3,5,4,7,2,8,1]=>{{1,6},{2,3,5,7,8},{4}}=>[6,3,5,4,7,1,8,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0] [6,3,5,4,8,1,7,2]=>{{1,6},{2,3,5,8},{4},{7}}=>[6,3,5,4,8,1,7,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] [8,3,5,1,7,2,6,4]=>{{1,8},{2,3,5,7},{4},{6}}=>[8,3,5,4,7,6,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [3,2,8,1,5,4,7,6]=>{{1,3,8},{2},{4},{5},{6},{7}}=>[3,2,8,4,5,6,7,1]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0] [3,2,7,6,8,1,5,4]=>{{1,3,7},{2},{4,6},{5,8}}=>[3,2,7,6,8,4,1,5]=>[1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0] [3,2,6,5,8,1,7,4]=>{{1,3,6},{2},{4,5,8},{7}}=>[3,2,6,5,8,1,7,4]=>[1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0] [5,4,7,2,6,3,8,1]=>{{1,5,6},{2,4},{3,7,8}}=>[5,4,7,2,6,1,8,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0] [5,4,8,2,6,1,7,3]=>{{1,5,6},{2,4},{3,8},{7}}=>[5,4,8,2,6,1,7,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0] [2,1,6,5,8,3,7,4]=>{{1,2},{3,6},{4,5,8},{7}}=>[2,1,6,5,8,3,7,4]=>[1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] [6,5,7,4,8,1,3,2]=>{{1,6},{2,5,8},{3,7},{4}}=>[6,5,7,4,8,1,3,2]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0] [6,5,7,1,8,3,4,2]=>{{1,6},{2,5,8},{3,7},{4}}=>[6,5,7,4,8,1,3,2]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0] [5,4,6,3,8,1,7,2]=>{{1,5,8},{2,4},{3,6},{7}}=>[5,4,6,2,8,3,7,1]=>[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0] [7,8,9,10,11,12,6,5,4,3,2,1]=>{{1,7},{2,8},{3,9},{4,10},{5,11},{6,12}}=>[7,8,9,10,11,12,1,2,3,4,5,6]=>[1,1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0] [2,8,3,1,5,4,6,7]=>{{1,2,8},{3},{4},{5},{6},{7}}=>[2,8,3,4,5,6,7,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] [2,5,3,4,7,1,8,6]=>{{1,2,5,7,8},{3},{4},{6}}=>[2,5,3,4,7,6,8,1]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0] [2,4,8,3,5,7,6,1]=>{{1,2,4},{3,8},{5},{6,7}}=>[2,4,8,1,5,7,6,3]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0] [4,2,5,3,1,8,6,7]=>{{1,4},{2},{3,5},{6,8},{7}}=>[4,2,5,1,3,8,7,6]=>[1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0] [1,5,8,4,3,2,6,7]=>{{1},{2,5},{3,8},{4},{6},{7}}=>[1,5,8,4,2,6,7,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] [1,5,7,3,8,4,2,6]=>{{1},{2,5,8},{3,7},{4},{6}}=>[1,5,7,4,8,6,3,2]=>[1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0] [5,1,4,7,8,3,2,6]=>{{1,5,8},{2},{3,4,7},{6}}=>[5,2,4,7,8,6,3,1]=>[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0] [4,8,1,5,7,3,6,2]=>{{1,4,5,7},{2,8},{3},{6}}=>[4,8,3,5,7,6,1,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] [1,6,8,5,3,7,4,2]=>{{1},{2,6,7},{3,8},{4,5}}=>[1,6,8,5,4,7,2,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] [6,4,8,1,7,3,5,2]=>{{1,6},{2,4},{3,8},{5,7}}=>[6,4,8,2,7,1,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] [6,4,8,7,1,5,2,3]=>{{1,6},{2,4,7},{3,8},{5}}=>[6,4,8,7,5,1,2,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] [7,6,4,1,3,8,2,5]=>{{1,7},{2,6,8},{3,4},{5}}=>[7,6,4,3,5,8,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] [1,7,5,6,3,2,8,4]=>{{1},{2,7,8},{3,5},{4,6}}=>[1,7,5,6,3,4,8,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0] [2,6,8,4,3,7,5,1]=>{{1,2,6,7},{3,8},{4},{5}}=>[2,6,8,4,5,7,1,3]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0] [6,2,4,8,3,7,5,1]=>{{1,6,7},{2},{3,4,8},{5}}=>[6,2,4,8,5,7,1,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] [2,6,7,3,1,4,8,5]=>{{1,2,6},{3,7,8},{4},{5}}=>[2,6,7,4,5,1,8,3]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0] [1,8,5,2,6,7,4,3]=>{{1},{2,8},{3,5,6,7},{4}}=>[1,8,5,4,6,7,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] [7,3,8,6,1,5,2,4]=>{{1,7},{2,3,8},{4,6},{5}}=>[7,3,8,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] [6,3,5,2,1,4,8,7]=>{{1,6},{2,3,5},{4},{7,8}}=>[6,3,5,4,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] [4,5,3,6,1,2,8,7]=>{{1,4,6},{2,5},{3},{7,8}}=>[4,5,3,6,2,1,8,7]=>[1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0] [3,5,1,4,6,2,8,7]=>{{1,3},{2,5,6},{4},{7,8}}=>[3,5,1,4,6,2,8,7]=>[1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0] [8,3,4,5,7,2,1,6]=>{{1,8},{2,3,4,5,7},{6}}=>[8,3,4,5,7,6,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [5,7,4,6,3,8,2,1]=>{{1,5},{2,7},{3,4,6,8}}=>[5,7,4,6,1,8,2,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0] [8,5,1,4,7,3,2,6]=>{{1,8},{2,5,7},{3},{4},{6}}=>[8,5,3,4,7,6,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [2,1,8,5,7,4,3,6]=>{{1,2},{3,8},{4,5,7},{6}}=>[2,1,8,5,7,6,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] [6,5,3,7,1,8,4,2]=>{{1,6,8},{2,5},{3},{4,7}}=>[6,5,3,7,2,8,4,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0] [6,5,1,4,7,8,3,2]=>{{1,6,8},{2,5,7},{3},{4}}=>[6,5,3,4,7,8,2,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0] [5,1,4,6,8,3,7,2]=>{{1,5,8},{2},{3,4,6},{7}}=>[5,2,4,6,8,3,7,1]=>[1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0] [3,8,6,4,1,7,2,5]=>{{1,3,6,7},{2,8},{4},{5}}=>[3,8,6,4,5,7,1,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] [2,8,7,5,4,1,3,6]=>{{1,2,8},{3,7},{4,5},{6}}=>[2,8,7,5,4,6,3,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] [3,8,6,7,4,2,1,5]=>{{1,3,6},{2,8},{4,7},{5}}=>[3,8,6,7,5,1,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] [5,7,6,8,4,2,3,1]=>{{1,5},{2,7},{3,6},{4,8}}=>[5,7,6,8,1,3,2,4]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0] [5,3,7,8,2,4,6,1]=>{{1,5},{2,3,7},{4,8},{6}}=>[5,3,7,8,1,6,2,4]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0] [5,7,8,6,4,2,1,3]=>{{1,5},{2,7},{3,8},{4,6}}=>[5,7,8,6,1,4,2,3]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0] [6,7,3,5,1,8,2,4]=>{{1,6,8},{2,7},{3},{4,5}}=>[6,7,3,5,4,8,2,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0] [2,1,6,7,5,8,3,4]=>{{1,2},{3,6,8},{4,7},{5}}=>[2,1,6,7,5,8,4,3]=>[1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0] [2,1,5,7,3,6,8,4]=>{{1,2},{3,5},{4,7,8},{6}}=>[2,1,5,7,3,6,8,4]=>[1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0] [5,7,3,6,1,2,8,4]=>{{1,5},{2,7,8},{3},{4,6}}=>[5,7,3,6,1,4,8,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0] [3,4,6,2,7,8,5,1]=>{{1,3,6,8},{2,4},{5,7}}=>[3,4,6,2,7,8,5,1]=>[1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0] [5,6,3,1,8,7,2,4]=>{{1,5,8},{2,6,7},{3},{4}}=>[5,6,3,4,8,7,2,1]=>[1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0] [3,8,2,7,6,1,5,4]=>{{1,3},{2,8},{4,7},{5,6}}=>[3,8,1,7,6,5,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] [3,8,2,7,6,5,1,4]=>{{1,3},{2,8},{4,7},{5,6}}=>[3,8,1,7,6,5,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] [3,8,2,7,6,5,4,1]=>{{1,3},{2,8},{4,7},{5,6}}=>[3,8,1,7,6,5,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] [4,8,7,2,6,5,3,1]=>{{1,4},{2,8},{3,7},{5,6}}=>[4,8,7,1,6,5,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] [4,8,7,2,6,5,1,3]=>{{1,4},{2,8},{3,7},{5,6}}=>[4,8,7,1,6,5,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] [4,8,7,2,6,1,5,3]=>{{1,4},{2,8},{3,7},{5,6}}=>[4,8,7,1,6,5,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] [4,8,7,3,6,2,5,1]=>{{1,4},{2,8},{3,7},{5,6}}=>[4,8,7,1,6,5,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] [4,8,7,3,6,2,1,5]=>{{1,4},{2,8},{3,7},{5,6}}=>[4,8,7,1,6,5,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] [4,8,7,3,6,1,5,2]=>{{1,4},{2,8},{3,7},{5,6}}=>[4,8,7,1,6,5,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] [4,8,7,3,6,5,1,2]=>{{1,4},{2,8},{3,7},{5,6}}=>[4,8,7,1,6,5,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] [4,8,7,3,6,5,2,1]=>{{1,4},{2,8},{3,7},{5,6}}=>[4,8,7,1,6,5,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] [5,8,7,6,3,4,2,1]=>{{1,5},{2,8},{3,7},{4,6}}=>[5,8,7,6,1,4,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] [5,8,7,6,3,1,4,2]=>{{1,5},{2,8},{3,7},{4,6}}=>[5,8,7,6,1,4,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] [5,8,7,6,3,2,4,1]=>{{1,5},{2,8},{3,7},{4,6}}=>[5,8,7,6,1,4,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] [5,8,7,6,2,4,3,1]=>{{1,5},{2,8},{3,7},{4,6}}=>[5,8,7,6,1,4,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] [5,8,7,6,2,1,4,3]=>{{1,5},{2,8},{3,7},{4,6}}=>[5,8,7,6,1,4,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] [5,8,7,6,4,2,3,1]=>{{1,5},{2,8},{3,7},{4,6}}=>[5,8,7,6,1,4,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] [5,8,7,6,4,2,1,3]=>{{1,5},{2,8},{3,7},{4,6}}=>[5,8,7,6,1,4,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] [5,8,7,6,4,1,3,2]=>{{1,5},{2,8},{3,7},{4,6}}=>[5,8,7,6,1,4,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] [5,8,7,6,4,3,1,2]=>{{1,5},{2,8},{3,7},{4,6}}=>[5,8,7,6,1,4,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] [7,3,5,2,6,1,4,8]=>{{1,7},{2,3,5,6},{4},{8}}=>[7,3,5,4,6,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] [7,3,5,2,6,4,1,8]=>{{1,7},{2,3,5,6},{4},{8}}=>[7,3,5,4,6,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] [6,3,5,2,7,4,8,1]=>{{1,6},{2,3,5,7,8},{4}}=>[6,3,5,4,7,1,8,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0] [7,2,1,5,6,4,3,8]=>{{1,7},{2},{3},{4,5,6},{8}}=>[7,2,3,5,6,4,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] [7,3,5,1,6,4,2,8]=>{{1,7},{2,3,5,6},{4},{8}}=>[7,3,5,4,6,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] [7,4,5,6,1,3,2,8]=>{{1,7},{2,4,6},{3,5},{8}}=>[7,4,5,6,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] [1,4,5,7,3,2,8,6]=>{{1},{2,4,7,8},{3,5},{6}}=>[1,4,5,7,3,6,8,2]=>[1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0] [6,4,5,7,3,1,8,2]=>{{1,6},{2,4,7,8},{3,5}}=>[6,4,5,7,3,1,8,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0] [6,4,5,7,1,3,8,2]=>{{1,6},{2,4,7,8},{3,5}}=>[6,4,5,7,3,1,8,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0] [6,3,5,1,7,4,8,2]=>{{1,6},{2,3,5,7,8},{4}}=>[6,3,5,4,7,1,8,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0] [3,2,1,5,7,4,8,6]=>{{1,3},{2},{4,5,7,8},{6}}=>[3,2,1,5,7,6,8,4]=>[1,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0] [2,4,6,7,3,8,1,5]=>{{1,2,4,7},{3,6,8},{5}}=>[2,4,6,7,5,8,1,3]=>[1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0] [1,5,6,7,8,3,4,2]=>{{1},{2,5,8},{3,6},{4,7}}=>[1,5,6,7,8,3,4,2]=>[1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] [2,5,6,7,8,3,1,4]=>{{1,2,5,8},{3,6},{4,7}}=>[2,5,6,7,8,3,4,1]=>[1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0] [3,2,1,6,7,8,4,5]=>{{1,3},{2},{4,6,8},{5,7}}=>[3,2,1,6,7,8,5,4]=>[1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0] [5,3,6,1,7,8,4,2]=>{{1,5,7},{2,3,6,8},{4}}=>[5,3,6,4,7,8,1,2]=>[1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0] [5,4,6,7,1,8,3,2]=>{{1,5},{2,4,7},{3,6,8}}=>[5,4,6,7,1,8,2,3]=>[1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0] [1,5,6,7,8,3,2,4]=>{{1},{2,5,8},{3,6},{4,7}}=>[1,5,6,7,8,3,4,2]=>[1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] [6,4,5,7,2,1,8,3]=>{{1,6},{2,4,7,8},{3,5}}=>[6,4,5,7,3,1,8,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0] [5,4,6,7,2,8,3,1]=>{{1,5},{2,4,7},{3,6,8}}=>[5,4,6,7,1,8,2,3]=>[1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0] [5,3,6,2,7,8,4,1]=>{{1,5,7},{2,3,6,8},{4}}=>[5,3,6,4,7,8,1,2]=>[1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0] [5,3,6,2,7,8,1,4]=>{{1,5,7},{2,3,6,8},{4}}=>[5,3,6,4,7,8,1,2]=>[1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0] [6,3,5,2,7,1,8,4]=>{{1,6},{2,3,5,7,8},{4}}=>[6,3,5,4,7,1,8,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0] [5,3,4,1,2,7,8,6]=>{{1,5},{2,3,4},{6,7,8}}=>[5,3,4,2,1,7,8,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0] [4,3,6,2,7,8,1,5]=>{{1,4},{2,3,6,8},{5,7}}=>[4,3,6,1,7,8,5,2]=>[1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0] [4,3,6,2,7,8,5,1]=>{{1,4},{2,3,6,8},{5,7}}=>[4,3,6,1,7,8,5,2]=>[1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0] [4,3,6,1,7,8,2,5]=>{{1,4},{2,3,6,8},{5,7}}=>[4,3,6,1,7,8,5,2]=>[1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0] [1,5,6,7,8,2,4,3]=>{{1},{2,5,8},{3,6},{4,7}}=>[1,5,6,7,8,3,4,2]=>[1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] [1,5,6,7,8,4,2,3]=>{{1},{2,5,8},{3,6},{4,7}}=>[1,5,6,7,8,3,4,2]=>[1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] [4,3,6,1,7,8,5,2]=>{{1,4},{2,3,6,8},{5,7}}=>[4,3,6,1,7,8,5,2]=>[1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0] [2,4,6,7,1,8,5,3]=>{{1,2,4,7},{3,6,8},{5}}=>[2,4,6,7,5,8,1,3]=>[1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0] [2,5,6,7,8,1,4,3]=>{{1,2,5,8},{3,6},{4,7}}=>[2,5,6,7,8,3,4,1]=>[1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0] [2,1,4,3,6,5,8,7,9]=>{{1,2},{3,4},{5,6},{7,8},{9}}=>[2,1,4,3,6,5,8,7,9]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] [2,3,1,5,4,7,6,9,8]=>{{1,2,3},{4,5},{6,7},{8,9}}=>[2,3,1,5,4,7,6,9,8]=>[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] [2,4,1,6,3,8,5,10,7,9]=>{{1,2,4,6,8,10},{3},{5},{7},{9}}=>[2,4,3,6,5,8,7,10,9,1]=>[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0] [2,3,1,5,4,7,6,9,8,10]=>{{1,2,3},{4,5},{6,7},{8,9},{10}}=>[2,3,1,5,4,7,6,9,8,10]=>[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] [7,1,2,3,4,5,6,8,9]=>{{1,7},{2},{3},{4},{5},{6},{8},{9}}=>[7,2,3,4,5,6,1,8,9]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0] [1,4,3,7,6,8,2,5]=>{{1},{2,4,7},{3},{5,6,8}}=>[1,4,3,7,6,8,2,5]=>[1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0] [1,5,3,7,4,8,2,6]=>{{1},{2,5},{3},{4,7},{6,8}}=>[1,5,3,7,2,8,4,6]=>[1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0] [1,3,2,6,5,8,4,7]=>{{1},{2,3},{4,6,8},{5},{7}}=>[1,3,2,6,5,8,7,4]=>[1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] [1,5,4,8,3,7,2,6]=>{{1},{2,5},{3,4,8},{6,7}}=>[1,5,4,8,2,7,6,3]=>[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0] [1,2,3,6,5,8,4,7]=>{{1},{2},{3},{4,6,8},{5},{7}}=>[1,2,3,6,5,8,7,4]=>[1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0] [7,5,1,8,6,2,4,3]=>{{1,7},{2,5,6},{3},{4,8}}=>[7,5,3,8,6,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] [1,6,3,8,5,2,4,7]=>{{1},{2,6},{3},{4,8},{5},{7}}=>[1,6,3,8,5,2,7,4]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] [7,3,1,8,4,2,6,5]=>{{1,7},{2,3},{4,8},{5},{6}}=>[7,3,2,8,5,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] [1,5,2,3,8,4,7,6]=>{{1},{2,5,8},{3},{4},{6},{7}}=>[1,5,3,4,8,6,7,2]=>[1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0] [5,2,3,8,1,4,7,6]=>{{1,5},{2},{3},{4,8},{6},{7}}=>[5,2,3,8,1,6,7,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] [6,2,8,1,3,5,4,7]=>{{1,6},{2},{3,8},{4},{5},{7}}=>[6,2,8,4,5,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] [2,6,3,8,7,1,5,4]=>{{1,2,6},{3},{4,8},{5,7}}=>[2,6,3,8,7,1,5,4]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0] [1,2,5,3,8,4,7,6]=>{{1},{2},{3,5,8},{4},{6},{7}}=>[1,2,5,4,8,6,7,3]=>[1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0] [2,4,8,1,3,7,6,5]=>{{1,2,4},{3,8},{5},{6,7}}=>[2,4,8,1,5,7,6,3]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0] [2,4,8,3,7,1,6,5]=>{{1,2,4},{3,8},{5,7},{6}}=>[2,4,8,1,7,6,5,3]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0] [2,4,8,3,7,6,1,5]=>{{1,2,4},{3,8},{5,7},{6}}=>[2,4,8,1,7,6,5,3]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0] [2,5,3,8,1,7,4,6]=>{{1,2,5},{3},{4,8},{6,7}}=>[2,5,3,8,1,7,6,4]=>[1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0] [2,5,4,1,3,8,7,6]=>{{1,2,5},{3,4},{6,8},{7}}=>[2,5,4,3,1,8,7,6]=>[1,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0] [5,2,3,8,4,7,1,6]=>{{1,5},{2},{3},{4,8},{6,7}}=>[5,2,3,8,1,7,6,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] [1,4,8,3,7,2,6,5]=>{{1},{2,4},{3,8},{5,7},{6}}=>[1,4,8,2,7,6,5,3]=>[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0] [6,3,8,1,5,2,4,7]=>{{1,6},{2,3,8},{4},{5},{7}}=>[6,3,8,4,5,1,7,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] [5,3,8,1,2,4,7,6]=>{{1,5},{2,3,8},{4},{6},{7}}=>[5,3,8,4,1,6,7,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0] [5,1,3,8,2,4,7,6]=>{{1,5},{2},{3},{4,8},{6},{7}}=>[5,2,3,8,1,6,7,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] [1,5,4,8,2,7,6,3]=>{{1},{2,5},{3,4,8},{6,7}}=>[1,5,4,8,2,7,6,3]=>[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0] [5,1,4,8,2,7,6,3]=>{{1,5},{2},{3,4,8},{6,7}}=>[5,2,4,8,1,7,6,3]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] [5,4,8,1,2,7,6,3]=>{{1,5},{2,4},{3,8},{6,7}}=>[5,4,8,2,1,7,6,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0] [6,5,1,2,8,7,4,3]=>{{1,6,7},{2,5,8},{3},{4}}=>[6,5,3,4,8,7,1,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] [5,3,1,6,4,2,8,7]=>{{1,5},{2,3},{4,6},{7,8}}=>[5,3,2,6,1,4,8,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0] [5,1,6,2,8,7,4,3]=>{{1,5,8},{2},{3,6,7},{4}}=>[5,2,6,4,8,7,3,1]=>[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0] [4,1,5,8,2,7,6,3]=>{{1,4,8},{2},{3,5},{6,7}}=>[4,2,5,8,3,7,6,1]=>[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0] [4,1,2,5,8,7,6,3]=>{{1,4,5,8},{2},{3},{6,7}}=>[4,2,3,5,8,7,6,1]=>[1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0] [1,4,2,5,8,7,6,3]=>{{1},{2,4,5,8},{3},{6,7}}=>[1,4,3,5,8,7,6,2]=>[1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0] [1,3,5,2,8,7,4,6]=>{{1},{2,3,5,8},{4},{6,7}}=>[1,3,5,4,8,7,6,2]=>[1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0] [3,6,2,8,7,5,1,4]=>{{1,3},{2,6},{4,8},{5,7}}=>[3,6,1,8,7,2,5,4]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0] [4,2,6,1,8,7,3,5]=>{{1,4},{2},{3,6,7},{5,8}}=>[4,2,6,1,8,7,3,5]=>[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0] [3,5,2,8,7,1,4,6]=>{{1,3},{2,5,7},{4,8},{6}}=>[3,5,1,8,7,6,2,4]=>[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0] [3,4,8,7,2,6,1,5]=>{{1,3,8},{2,4,7},{5},{6}}=>[3,4,8,7,5,6,2,1]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0] [3,4,8,7,1,2,6,5]=>{{1,3,8},{2,4,7},{5},{6}}=>[3,4,8,7,5,6,2,1]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0] [3,4,8,1,7,2,6,5]=>{{1,3,8},{2,4},{5,7},{6}}=>[3,4,8,2,7,6,5,1]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0] [1,3,4,8,7,2,6,5]=>{{1},{2,3,4,8},{5,7},{6}}=>[1,3,4,8,7,6,5,2]=>[1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0] [3,4,8,1,2,7,6,5]=>{{1,3,8},{2,4},{5},{6,7}}=>[3,4,8,2,5,7,6,1]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0] [3,4,8,2,7,1,6,5]=>{{1,3,8},{2,4},{5,7},{6}}=>[3,4,8,2,7,6,5,1]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0] [3,4,8,2,7,6,1,5]=>{{1,3,8},{2,4},{5,7},{6}}=>[3,4,8,2,7,6,5,1]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0] [4,2,5,8,1,7,6,3]=>{{1,4,8},{2},{3,5},{6,7}}=>[4,2,5,8,3,7,6,1]=>[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0] [4,3,1,2,5,8,7,6]=>{{1,4},{2,3},{5},{6,8},{7}}=>[4,3,2,1,5,8,7,6]=>[1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0] [3,1,4,2,5,8,7,6]=>{{1,3,4},{2},{5},{6,8},{7}}=>[3,2,4,1,5,8,7,6]=>[1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0] [7,8,2,1,5,3,6,4]=>{{1,7},{2,8},{3},{4},{5},{6}}=>[7,8,3,4,5,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] [6,4,1,2,7,3,5,8]=>{{1,6},{2,4},{3},{5,7},{8}}=>[6,4,3,2,7,1,5,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0] [6,2,1,5,4,7,3,8]=>{{1,6,7},{2},{3},{4,5},{8}}=>[6,2,3,5,4,7,1,8]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0] [5,3,6,2,4,7,1,8]=>{{1,5},{2,3,6,7},{4},{8}}=>[5,3,6,4,1,7,2,8]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0] [4,3,7,5,8,6,1,2]=>{{1,4,5,8},{2,3,7},{6}}=>[4,3,7,5,8,6,2,1]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0] [3,2,6,7,4,8,1,5]=>{{1,3,6,8},{2},{4,7},{5}}=>[3,2,6,7,5,8,4,1]=>[1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0] [3,1,6,7,4,8,5,2]=>{{1,3,6,8},{2},{4,7},{5}}=>[3,2,6,7,5,8,4,1]=>[1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0] [1,7,6,5,3,8,4,2]=>{{1},{2,7},{3,6,8},{4,5}}=>[1,7,6,5,4,8,2,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0] [2,7,6,5,3,8,1,4]=>{{1,2,7},{3,6,8},{4,5}}=>[2,7,6,5,4,8,1,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0] [1,7,6,5,2,4,8,3]=>{{1},{2,7,8},{3,6},{4,5}}=>[1,7,6,5,4,3,8,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0] [2,7,6,5,3,1,4,8]=>{{1,2,7},{3,6},{4,5},{8}}=>[2,7,6,5,4,3,1,8]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0] [3,7,6,4,8,5,1,2]=>{{1,3,6},{2,7},{4},{5,8}}=>[3,7,6,4,8,1,2,5]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0] [5,7,6,3,8,4,1,2]=>{{1,5,8},{2,7},{3,6},{4}}=>[5,7,6,4,8,3,2,1]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0] [1,7,6,5,2,8,3,4]=>{{1},{2,7},{3,6,8},{4,5}}=>[1,7,6,5,4,8,2,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0] [1,7,6,5,3,2,8,4]=>{{1},{2,7,8},{3,6},{4,5}}=>[1,7,6,5,4,3,8,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0] [4,7,6,5,1,2,8,3]=>{{1,4,5},{2,7,8},{3,6}}=>[4,7,6,5,1,3,8,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0] [4,7,6,5,3,1,8,2]=>{{1,4,5},{2,7,8},{3,6}}=>[4,7,6,5,1,3,8,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0] [5,1,6,2,4,7,8,3]=>{{1,5},{2},{3,6,7,8},{4}}=>[5,2,6,4,1,7,8,3]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0] [4,7,1,6,2,3,8,5]=>{{1,4,6},{2,7,8},{3},{5}}=>[4,7,3,6,5,1,8,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0] [4,7,6,3,5,8,1,2]=>{{1,4},{2,7},{3,6,8},{5}}=>[4,7,6,1,5,8,2,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0] [3,7,6,5,8,1,4,2]=>{{1,3,6},{2,7},{4,5,8}}=>[3,7,6,5,8,1,2,4]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0] [4,7,6,8,3,5,1,2]=>{{1,4,8},{2,7},{3,6},{5}}=>[4,7,6,8,5,3,2,1]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0] [2,7,6,5,1,4,3,8]=>{{1,2,7},{3,6},{4,5},{8}}=>[2,7,6,5,4,3,1,8]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0] [6,3,2,1,7,4,8,5]=>{{1,6},{2,3},{4},{5,7,8}}=>[6,3,2,4,7,1,8,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0] [8,4,1,5,2,7,6,3]=>{{1,8},{2,4,5},{3},{6,7}}=>[8,4,3,5,2,7,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [4,3,7,2,1,5,8,6]=>{{1,4},{2,3,7,8},{5},{6}}=>[4,3,7,1,5,6,8,2]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0] [6,3,7,4,2,1,8,5]=>{{1,6},{2,3,7,8},{4},{5}}=>[6,3,7,4,5,1,8,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0] [2,7,5,4,1,3,8,6]=>{{1,2,7,8},{3,5},{4},{6}}=>[2,7,5,4,3,6,8,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0] [7,5,4,3,2,1,8,6]=>{{1,7,8},{2,5},{3,4},{6}}=>[7,5,4,3,2,6,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] [4,6,3,2,8,1,5,7]=>{{1,4},{2,6},{3},{5,8},{7}}=>[4,6,3,1,8,2,7,5]=>[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0] [5,7,4,3,2,8,1,6]=>{{1,5},{2,7},{3,4},{6,8}}=>[5,7,4,3,1,8,2,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0] [2,7,3,6,4,8,1,5]=>{{1,2,7},{3},{4,6,8},{5}}=>[2,7,3,6,5,8,1,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0] [6,2,7,5,3,8,1,4]=>{{1,6,8},{2},{3,7},{4,5}}=>[6,2,7,5,4,8,3,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0] [5,8,1,6,2,7,4,3]=>{{1,5},{2,8},{3},{4,6,7}}=>[5,8,3,6,1,7,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] [1,8,5,7,4,3,6,2]=>{{1},{2,8},{3,5},{4,7},{6}}=>[1,8,5,7,3,6,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,8,5,7,2,4,6,3]=>{{1},{2,8},{3,5},{4,7},{6}}=>[1,8,5,7,3,6,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] [3,8,6,1,7,2,5,4]=>{{1,3,6},{2,8},{4},{5,7}}=>[3,8,6,4,7,1,5,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] [6,3,7,5,8,2,1,4]=>{{1,6},{2,3,7},{4,5,8}}=>[6,3,7,5,8,1,2,4]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0] [3,7,2,6,8,4,1,5]=>{{1,3},{2,7},{4,6},{5,8}}=>[3,7,1,6,8,4,2,5]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0] [3,6,5,8,1,4,2,7]=>{{1,3,5},{2,6},{4,8},{7}}=>[3,6,5,8,1,2,7,4]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0] [2,6,5,8,4,1,3,7]=>{{1,2,6},{3,5},{4,8},{7}}=>[2,6,5,8,3,1,7,4]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0] [6,5,4,8,3,2,1,7]=>{{1,6},{2,5},{3,4,8},{7}}=>[6,5,4,8,2,1,7,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] [8,4,3,7,2,1,6,5]=>{{1,8},{2,4,7},{3},{5},{6}}=>[8,4,3,7,5,6,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [4,3,6,8,2,1,5,7]=>{{1,4,8},{2,3,6},{5},{7}}=>[4,3,6,8,5,2,7,1]=>[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0] [6,3,5,1,8,4,2,7]=>{{1,6},{2,3,5,8},{4},{7}}=>[6,3,5,4,8,1,7,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] [8,4,1,5,7,3,6,2]=>{{1,8},{2,4,5,7},{3},{6}}=>[8,4,3,5,7,6,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [6,4,2,5,8,3,1,7]=>{{1,6},{2,4,5,8},{3},{7}}=>[6,4,3,5,8,1,7,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] [5,4,1,6,8,2,3,7]=>{{1,5,8},{2,4,6},{3},{7}}=>[5,4,3,6,8,2,7,1]=>[1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0] [6,5,2,1,7,8,3,4]=>{{1,6,8},{2,5,7},{3},{4}}=>[6,5,3,4,7,8,2,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0] [6,3,7,4,8,5,2,1]=>{{1,6},{2,3,7},{4},{5,8}}=>[6,3,7,4,8,1,2,5]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0] [4,7,2,5,8,6,3,1]=>{{1,4,5,8},{2,7},{3},{6}}=>[4,7,3,5,8,6,2,1]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0] [6,3,1,8,4,7,5,2]=>{{1,6,7},{2,3},{4,8},{5}}=>[6,3,2,8,5,7,1,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] [6,4,2,8,7,3,5,1]=>{{1,6},{2,4,8},{3},{5,7}}=>[6,4,3,8,7,1,5,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] [6,5,3,8,7,4,1,2]=>{{1,6},{2,5,7},{3},{4,8}}=>[6,5,3,8,7,1,2,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] [8,5,3,7,6,4,2,1]=>{{1,8},{2,5,6},{3},{4,7}}=>[8,5,3,7,6,2,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [5,4,8,1,7,6,2,3]=>{{1,5,7},{2,4},{3,8},{6}}=>[5,4,8,2,7,6,1,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0] [6,4,8,2,1,7,5,3]=>{{1,6,7},{2,4},{3,8},{5}}=>[6,4,8,2,5,7,1,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] [3,6,8,1,4,7,5,2]=>{{1,3,8},{2,6,7},{4},{5}}=>[3,6,8,4,5,7,2,1]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0] [6,4,7,8,1,5,3,2]=>{{1,6},{2,4,8},{3,7},{5}}=>[6,4,7,8,5,1,3,2]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0] [6,3,7,8,5,2,4,1]=>{{1,6},{2,3,7},{4,8},{5}}=>[6,3,7,8,5,1,2,4]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0] [2,5,8,7,1,3,6,4]=>{{1,2,5},{3,8},{4,7},{6}}=>[2,5,8,7,1,6,4,3]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0] [5,3,8,7,2,1,6,4]=>{{1,5},{2,3,8},{4,7},{6}}=>[5,3,8,7,1,6,4,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0] [8,3,7,6,1,5,4,2]=>{{1,8},{2,3,7},{4,6},{5}}=>[8,3,7,6,5,4,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [4,3,8,7,6,2,1,5]=>{{1,4,7},{2,3,8},{5,6}}=>[4,3,8,7,6,5,1,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] [3,5,8,7,2,6,1,4]=>{{1,3,8},{2,5},{4,7},{6}}=>[3,5,8,7,2,6,4,1]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0] [4,7,3,8,6,5,1,2]=>{{1,4,8},{2,7},{3},{5,6}}=>[4,7,3,8,6,5,2,1]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0] [7,5,8,6,4,3,2,1]=>{{1,7},{2,5},{3,8},{4,6}}=>[7,5,8,6,2,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] [5,8,7,3,6,4,2,1]=>{{1,5,6},{2,8},{3,7},{4}}=>[5,8,7,4,6,1,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] [4,8,7,6,2,5,3,1]=>{{1,4,6},{2,8},{3,7},{5}}=>[4,8,7,6,5,1,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] [3,8,7,6,5,1,4,2]=>{{1,3,7},{2,8},{4,6},{5}}=>[3,8,7,6,5,4,1,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] [2,8,7,6,5,4,1,3]=>{{1,2,8},{3,7},{4,6},{5}}=>[2,8,7,6,5,4,3,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] [3,2,1,4,5,6,7,8,9]=>{{1,3},{2},{4},{5},{6},{7},{8},{9}}=>[3,2,1,4,5,6,7,8,9]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] [4,3,2,1,5,6,7,8,9]=>{{1,4},{2,3},{5},{6},{7},{8},{9}}=>[4,3,2,1,5,6,7,8,9]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0] [3,2,1,4,5,6,7,8,9,10]=>{{1,3},{2},{4},{5},{6},{7},{8},{9},{10}}=>[3,2,1,4,5,6,7,8,9,10]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] [3,6,5,1,2,4,8,7]=>{{1,3,5},{2,6},{4},{7,8}}=>[3,6,5,4,1,2,8,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0] [3,7,5,8,2,4,1,6]=>{{1,3,5},{2,7},{4,8},{6}}=>[3,7,5,8,1,6,2,4]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0] [3,8,5,7,2,4,1,6]=>{{1,3,5},{2,8},{4,7},{6}}=>[3,8,5,7,1,6,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] [5,1,7,8,4,3,2,6]=>{{1,5},{2},{3,7},{4,8},{6}}=>[5,2,7,8,1,6,3,4]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0] [4,1,5,7,8,3,2,6]=>{{1,4,7},{2},{3,5,8},{6}}=>[4,2,5,7,8,6,1,3]=>[1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0] [4,1,5,8,7,3,2,6]=>{{1,4,8},{2},{3,5,7},{6}}=>[4,2,5,8,7,6,3,1]=>[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0] [7,5,3,8,1,4,2,6]=>{{1,7},{2,5},{3},{4,8},{6}}=>[7,5,3,8,2,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] [2,1,5,8,7,3,4,6]=>{{1,2},{3,5,7},{4,8},{6}}=>[2,1,5,8,7,6,3,4]=>[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0] [4,7,1,6,3,2,8,5]=>{{1,4,6},{2,7,8},{3},{5}}=>[4,7,3,6,5,1,8,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0] [7,1,2,3,5,8,6,4]=>{{1,7},{2},{3},{4},{5},{6,8}}=>[7,2,3,4,5,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] [6,8,1,4,3,7,2,5]=>{{1,6,7},{2,8},{3},{4},{5}}=>[6,8,3,4,5,7,1,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] [7,8,3,2,4,1,6,5]=>{{1,7},{2,8},{3},{4},{5},{6}}=>[7,8,3,4,5,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] [8,1,2,3,5,7,6,4]=>{{1,8},{2},{3},{4},{5},{6,7}}=>[8,2,3,4,5,7,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,1,2,3,7,5,6,4]=>{{1,8},{2},{3},{4},{5,7},{6}}=>[8,2,3,4,7,6,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [3,5,7,8,2,4,1,6]=>{{1,3,7},{2,5},{4,8},{6}}=>[3,5,7,8,2,6,1,4]=>[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] [3,6,7,1,4,2,8,5]=>{{1,3,7,8},{2,6},{4},{5}}=>[3,6,7,4,5,2,8,1]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0] [7,1,2,3,5,6,8,4]=>{{1,7,8},{2},{3},{4},{5},{6}}=>[7,2,3,4,5,6,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] [5,1,2,3,7,8,6,4]=>{{1,5,7},{2},{3},{4},{6,8}}=>[5,2,3,4,7,8,1,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0] [6,1,2,3,5,7,8,4]=>{{1,6,7,8},{2},{3},{4},{5}}=>[6,2,3,4,5,7,8,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0] [7,8,1,2,6,3,5,4]=>{{1,7},{2,8},{3},{4},{5,6}}=>[7,8,3,4,6,5,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] [1,4,8,2,7,3,5,6]=>{{1},{2,4},{3,8},{5,7},{6}}=>[1,4,8,2,7,6,5,3]=>[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0] [1,3,8,5,4,2,7,6]=>{{1},{2,3,8},{4,5},{6},{7}}=>[1,3,8,5,4,6,7,2]=>[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] [1,3,6,8,4,7,5,2]=>{{1},{2,3,6,7},{4,8},{5}}=>[1,3,6,8,5,7,2,4]=>[1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0] [2,4,8,1,7,3,6,5]=>{{1,2,4},{3,8},{5,7},{6}}=>[2,4,8,1,7,6,5,3]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0] [1,2,6,8,4,5,7,3]=>{{1},{2},{3,6},{4,8},{5},{7}}=>[1,2,6,8,5,3,7,4]=>[1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0] [7,4,6,1,5,2,3,8]=>{{1,7},{2,4},{3,6},{5},{8}}=>[7,4,6,2,5,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] [1,6,3,8,5,4,2,7]=>{{1},{2,6},{3},{4,8},{5},{7}}=>[1,6,3,8,5,2,7,4]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] [7,1,3,6,5,4,2,8]=>{{1,7},{2},{3},{4,6},{5},{8}}=>[7,2,3,6,5,4,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] [7,2,1,4,6,3,5,8]=>{{1,7},{2},{3},{4},{5,6},{8}}=>[7,2,3,4,6,5,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] [7,2,3,6,5,1,4,8]=>{{1,7},{2},{3},{4,6},{5},{8}}=>[7,2,3,6,5,4,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] [7,1,2,3,6,5,4,8]=>{{1,7},{2},{3},{4},{5,6},{8}}=>[7,2,3,4,6,5,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] [1,5,8,2,7,6,3,4]=>{{1},{2,5,7},{3,8},{4},{6}}=>[1,5,8,4,7,6,2,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] [5,8,2,7,6,3,4,1]=>{{1,5,6},{2,8},{3},{4,7}}=>[5,8,3,7,6,1,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] [6,2,8,1,7,3,5,4]=>{{1,6},{2},{3,8},{4},{5,7}}=>[6,2,8,4,7,1,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] [3,6,4,1,2,8,5,7]=>{{1,3,4},{2,6,8},{5},{7}}=>[3,6,4,1,5,8,7,2]=>[1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0] [2,5,1,8,7,6,3,4]=>{{1,2,5,7},{3},{4,8},{6}}=>[2,5,3,8,7,6,1,4]=>[1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0] [2,5,3,8,7,4,6,1]=>{{1,2,5,7},{3},{4,8},{6}}=>[2,5,3,8,7,6,1,4]=>[1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0] [1,2,5,3,8,7,4,6]=>{{1},{2},{3,5,8},{4},{6,7}}=>[1,2,5,4,8,7,6,3]=>[1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0] [2,5,3,8,7,1,6,4]=>{{1,2,5,7},{3},{4,8},{6}}=>[2,5,3,8,7,6,1,4]=>[1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0] [2,5,8,4,1,7,6,3]=>{{1,2,5},{3,8},{4},{6,7}}=>[2,5,8,4,1,7,6,3]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0] [3,5,8,7,1,4,2,6]=>{{1,3,8},{2,5},{4,7},{6}}=>[3,5,8,7,2,6,4,1]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0] [5,3,8,4,1,7,6,2]=>{{1,5},{2,3,8},{4},{6,7}}=>[5,3,8,4,1,7,6,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0] [4,2,8,7,6,3,5,1]=>{{1,4,7},{2},{3,8},{5,6}}=>[4,2,8,7,6,5,1,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] [4,2,8,7,6,5,3,1]=>{{1,4,7},{2},{3,8},{5,6}}=>[4,2,8,7,6,5,1,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] [4,1,8,7,6,5,3,2]=>{{1,4,7},{2},{3,8},{5,6}}=>[4,2,8,7,6,5,1,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] [4,3,8,7,6,5,1,2]=>{{1,4,7},{2,3,8},{5,6}}=>[4,3,8,7,6,5,1,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] [6,3,1,8,7,2,5,4]=>{{1,6},{2,3},{4,8},{5,7}}=>[6,3,2,8,7,1,5,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] [5,8,3,7,6,1,4,2]=>{{1,5,6},{2,8},{3},{4,7}}=>[5,8,3,7,6,1,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] [1,5,3,8,7,6,2,4]=>{{1},{2,5,7},{3},{4,8},{6}}=>[1,5,3,8,7,6,2,4]=>[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0] [1,5,8,4,7,2,6,3]=>{{1},{2,5,7},{3,8},{4},{6}}=>[1,5,8,4,7,6,2,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] [5,8,7,4,6,1,2,3]=>{{1,5,6},{2,8},{3,7},{4}}=>[5,8,7,4,6,1,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] [4,5,8,1,7,2,3,6]=>{{1,4},{2,5,7},{3,8},{6}}=>[4,5,8,1,7,6,2,3]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0] [4,5,8,1,7,2,6,3]=>{{1,4},{2,5,7},{3,8},{6}}=>[4,5,8,1,7,6,2,3]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0] [1,3,2,5,8,7,4,6]=>{{1},{2,3},{4,5,8},{6,7}}=>[1,3,2,5,8,7,6,4]=>[1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0] [3,5,1,8,7,4,6,2]=>{{1,3},{2,5,7},{4,8},{6}}=>[3,5,1,8,7,6,2,4]=>[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0] [3,5,1,8,7,2,6,4]=>{{1,3},{2,5,7},{4,8},{6}}=>[3,5,1,8,7,6,2,4]=>[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0] [4,3,6,1,2,8,5,7]=>{{1,4},{2,3,6,8},{5},{7}}=>[4,3,6,1,5,8,7,2]=>[1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0] [4,5,8,3,1,7,2,6]=>{{1,4},{2,5},{3,8},{6,7}}=>[4,5,8,1,2,7,6,3]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0] [3,2,5,8,7,1,6,4]=>{{1,3,5,7},{2},{4,8},{6}}=>[3,2,5,8,7,6,1,4]=>[1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0] [3,1,4,8,7,6,2,5]=>{{1,3,4,8},{2},{5,7},{6}}=>[3,2,4,8,7,6,5,1]=>[1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0] [1,3,4,8,7,6,2,5]=>{{1},{2,3,4,8},{5,7},{6}}=>[1,3,4,8,7,6,5,2]=>[1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0] [3,2,5,8,7,4,6,1]=>{{1,3,5,7},{2},{4,8},{6}}=>[3,2,5,8,7,6,1,4]=>[1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0] [4,5,8,3,1,7,6,2]=>{{1,4},{2,5},{3,8},{6,7}}=>[4,5,8,1,2,7,6,3]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0] [1,3,7,8,2,6,5,4]=>{{1},{2,3,7},{4,8},{5},{6}}=>[1,3,7,8,5,6,2,4]=>[1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0] [2,8,1,6,7,3,5,4]=>{{1,2,8},{3},{4,6},{5,7}}=>[2,8,3,6,7,4,5,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] [2,6,8,3,7,1,5,4]=>{{1,2,6},{3,8},{4},{5,7}}=>[2,6,8,4,7,1,5,3]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0] [2,8,6,4,7,1,5,3]=>{{1,2,8},{3,6},{4},{5,7}}=>[2,8,6,4,7,3,5,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] [6,8,3,4,1,7,5,2]=>{{1,6,7},{2,8},{3},{4},{5}}=>[6,8,3,4,5,7,1,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] [2,6,8,3,7,5,1,4]=>{{1,2,6},{3,8},{4},{5,7}}=>[2,6,8,4,7,1,5,3]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0] [2,8,1,6,7,5,3,4]=>{{1,2,8},{3},{4,6},{5,7}}=>[2,8,3,6,7,4,5,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] [8,3,5,7,4,1,6,2]=>{{1,8},{2,3,5},{4,7},{6}}=>[8,3,5,7,2,6,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,5,2,4,7,1,6,3]=>{{1,8},{2,5,7},{3},{4},{6}}=>[8,5,3,4,7,6,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,6,8,3,7,2,5,4]=>{{1},{2,6},{3,8},{4},{5,7}}=>[1,6,8,4,7,2,5,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] [8,3,5,7,1,2,6,4]=>{{1,8},{2,3,5},{4,7},{6}}=>[8,3,5,7,2,6,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,5,4,7,1,6,2,3]=>{{1,8},{2,5},{3,4,7},{6}}=>[8,5,4,7,2,6,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,5,4,7,1,2,6,3]=>{{1,8},{2,5},{3,4,7},{6}}=>[8,5,4,7,2,6,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,5,1,4,7,2,6,3]=>{{1,8},{2,5,7},{3},{4},{6}}=>[8,5,3,4,7,6,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,4,6,8,2,7,5,3]=>{{1},{2,4,8},{3,6,7},{5}}=>[1,4,6,8,5,7,3,2]=>[1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0] [5,6,2,8,1,7,4,3]=>{{1,5},{2,6,7},{3},{4,8}}=>[5,6,3,8,1,7,2,4]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0] [5,8,7,3,6,1,2,4]=>{{1,5,6},{2,8},{3,7},{4}}=>[5,8,7,4,6,1,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] [8,3,5,7,1,6,2,4]=>{{1,8},{2,3,5},{4,7},{6}}=>[8,3,5,7,2,6,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,6,8,3,7,5,2,4]=>{{1},{2,6},{3,8},{4},{5,7}}=>[1,6,8,4,7,2,5,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] [6,3,8,2,7,5,1,4]=>{{1,6},{2,3,8},{4},{5,7}}=>[6,3,8,4,7,1,5,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] [6,8,4,2,7,1,5,3]=>{{1,6},{2,8},{3,4},{5,7}}=>[6,8,4,3,7,1,5,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] [8,6,4,7,3,1,5,2]=>{{1,8},{2,6},{3,4,7},{5}}=>[8,6,4,7,5,2,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,4,5,7,3,1,6,2]=>{{1,8},{2,4,7},{3,5},{6}}=>[8,4,5,7,3,6,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,4,2,5,7,1,6,3]=>{{1,8},{2,4,5,7},{3},{6}}=>[8,4,3,5,7,6,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [8,7,4,5,2,6,1,3]=>{{1,8},{2,7},{3,4,5},{6}}=>[8,7,4,5,3,6,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
Map
weak exceedance partition
Description
The set partition induced by the weak exceedances of a permutation.
This is the coarsest set partition that contains all arcs $(i, \pi(i))$ with $i\leq\pi(i)$.
Map
to permutation
Description
Sends the set partition to the permutation obtained by considering the blocks as increasing cycles.
Map
left-to-right-maxima to Dyck path
Description
The left-to-right maxima of a permutation as a Dyck path.
Let $(c_1, \dots, c_k)$ be the rise composition Mp00102rise composition of the path. Then the corresponding left-to-right maxima are $c_1, c_1+c_2, \dots, c_1+\dots+c_k$.
Restricted to 321-avoiding permutations, this is the inverse of Mp00119to 321-avoiding permutation (Krattenthaler), restricted to 312-avoiding permutations, this is the inverse of Mp00031to 312-avoiding permutation.