Identifier
Mp00127:
Permutations
—left-to-right-maxima to Dyck path⟶
Dyck paths
Mp00138: Dyck paths —to noncrossing partition⟶ Set partitions
Mp00079: Set partitions —shape⟶ Integer partitions
Mp00138: Dyck paths —to noncrossing partition⟶ Set partitions
Mp00079: Set partitions —shape⟶ Integer partitions
Images
=>
Cc0005;cc-rep-1Cc0009;cc-rep-2Cc0002;cc-rep-3
[1]=>[1,0]=>{{1}}=>[1]
[1,2]=>[1,0,1,0]=>{{1},{2}}=>[1,1]
[2,1]=>[1,1,0,0]=>{{1,2}}=>[2]
[1,2,3]=>[1,0,1,0,1,0]=>{{1},{2},{3}}=>[1,1,1]
[1,3,2]=>[1,0,1,1,0,0]=>{{1},{2,3}}=>[2,1]
[2,1,3]=>[1,1,0,0,1,0]=>{{1,2},{3}}=>[2,1]
[2,3,1]=>[1,1,0,1,0,0]=>{{1,3},{2}}=>[2,1]
[3,1,2]=>[1,1,1,0,0,0]=>{{1,2,3}}=>[3]
[3,2,1]=>[1,1,1,0,0,0]=>{{1,2,3}}=>[3]
[1,2,3,4]=>[1,0,1,0,1,0,1,0]=>{{1},{2},{3},{4}}=>[1,1,1,1]
[1,2,4,3]=>[1,0,1,0,1,1,0,0]=>{{1},{2},{3,4}}=>[2,1,1]
[1,3,2,4]=>[1,0,1,1,0,0,1,0]=>{{1},{2,3},{4}}=>[2,1,1]
[1,3,4,2]=>[1,0,1,1,0,1,0,0]=>{{1},{2,4},{3}}=>[2,1,1]
[1,4,2,3]=>[1,0,1,1,1,0,0,0]=>{{1},{2,3,4}}=>[3,1]
[1,4,3,2]=>[1,0,1,1,1,0,0,0]=>{{1},{2,3,4}}=>[3,1]
[2,1,3,4]=>[1,1,0,0,1,0,1,0]=>{{1,2},{3},{4}}=>[2,1,1]
[2,1,4,3]=>[1,1,0,0,1,1,0,0]=>{{1,2},{3,4}}=>[2,2]
[2,3,1,4]=>[1,1,0,1,0,0,1,0]=>{{1,3},{2},{4}}=>[2,1,1]
[2,3,4,1]=>[1,1,0,1,0,1,0,0]=>{{1,4},{2},{3}}=>[2,1,1]
[2,4,1,3]=>[1,1,0,1,1,0,0,0]=>{{1,3,4},{2}}=>[3,1]
[2,4,3,1]=>[1,1,0,1,1,0,0,0]=>{{1,3,4},{2}}=>[3,1]
[3,1,2,4]=>[1,1,1,0,0,0,1,0]=>{{1,2,3},{4}}=>[3,1]
[3,1,4,2]=>[1,1,1,0,0,1,0,0]=>{{1,4},{2,3}}=>[2,2]
[3,2,1,4]=>[1,1,1,0,0,0,1,0]=>{{1,2,3},{4}}=>[3,1]
[3,2,4,1]=>[1,1,1,0,0,1,0,0]=>{{1,4},{2,3}}=>[2,2]
[3,4,1,2]=>[1,1,1,0,1,0,0,0]=>{{1,2,4},{3}}=>[3,1]
[3,4,2,1]=>[1,1,1,0,1,0,0,0]=>{{1,2,4},{3}}=>[3,1]
[4,1,2,3]=>[1,1,1,1,0,0,0,0]=>{{1,2,3,4}}=>[4]
[4,1,3,2]=>[1,1,1,1,0,0,0,0]=>{{1,2,3,4}}=>[4]
[4,2,1,3]=>[1,1,1,1,0,0,0,0]=>{{1,2,3,4}}=>[4]
[4,2,3,1]=>[1,1,1,1,0,0,0,0]=>{{1,2,3,4}}=>[4]
[4,3,1,2]=>[1,1,1,1,0,0,0,0]=>{{1,2,3,4}}=>[4]
[4,3,2,1]=>[1,1,1,1,0,0,0,0]=>{{1,2,3,4}}=>[4]
[1,2,3,4,5]=>[1,0,1,0,1,0,1,0,1,0]=>{{1},{2},{3},{4},{5}}=>[1,1,1,1,1]
[1,2,3,5,4]=>[1,0,1,0,1,0,1,1,0,0]=>{{1},{2},{3},{4,5}}=>[2,1,1,1]
[1,2,4,3,5]=>[1,0,1,0,1,1,0,0,1,0]=>{{1},{2},{3,4},{5}}=>[2,1,1,1]
[1,2,4,5,3]=>[1,0,1,0,1,1,0,1,0,0]=>{{1},{2},{3,5},{4}}=>[2,1,1,1]
[1,2,5,3,4]=>[1,0,1,0,1,1,1,0,0,0]=>{{1},{2},{3,4,5}}=>[3,1,1]
[1,2,5,4,3]=>[1,0,1,0,1,1,1,0,0,0]=>{{1},{2},{3,4,5}}=>[3,1,1]
[1,3,2,4,5]=>[1,0,1,1,0,0,1,0,1,0]=>{{1},{2,3},{4},{5}}=>[2,1,1,1]
[1,3,2,5,4]=>[1,0,1,1,0,0,1,1,0,0]=>{{1},{2,3},{4,5}}=>[2,2,1]
[1,3,4,2,5]=>[1,0,1,1,0,1,0,0,1,0]=>{{1},{2,4},{3},{5}}=>[2,1,1,1]
[1,3,4,5,2]=>[1,0,1,1,0,1,0,1,0,0]=>{{1},{2,5},{3},{4}}=>[2,1,1,1]
[1,3,5,2,4]=>[1,0,1,1,0,1,1,0,0,0]=>{{1},{2,4,5},{3}}=>[3,1,1]
[1,3,5,4,2]=>[1,0,1,1,0,1,1,0,0,0]=>{{1},{2,4,5},{3}}=>[3,1,1]
[1,4,2,3,5]=>[1,0,1,1,1,0,0,0,1,0]=>{{1},{2,3,4},{5}}=>[3,1,1]
[1,4,2,5,3]=>[1,0,1,1,1,0,0,1,0,0]=>{{1},{2,5},{3,4}}=>[2,2,1]
[1,4,3,2,5]=>[1,0,1,1,1,0,0,0,1,0]=>{{1},{2,3,4},{5}}=>[3,1,1]
[1,4,3,5,2]=>[1,0,1,1,1,0,0,1,0,0]=>{{1},{2,5},{3,4}}=>[2,2,1]
[1,4,5,2,3]=>[1,0,1,1,1,0,1,0,0,0]=>{{1},{2,3,5},{4}}=>[3,1,1]
[1,4,5,3,2]=>[1,0,1,1,1,0,1,0,0,0]=>{{1},{2,3,5},{4}}=>[3,1,1]
[1,5,2,3,4]=>[1,0,1,1,1,1,0,0,0,0]=>{{1},{2,3,4,5}}=>[4,1]
[1,5,2,4,3]=>[1,0,1,1,1,1,0,0,0,0]=>{{1},{2,3,4,5}}=>[4,1]
[1,5,3,2,4]=>[1,0,1,1,1,1,0,0,0,0]=>{{1},{2,3,4,5}}=>[4,1]
[1,5,3,4,2]=>[1,0,1,1,1,1,0,0,0,0]=>{{1},{2,3,4,5}}=>[4,1]
[1,5,4,2,3]=>[1,0,1,1,1,1,0,0,0,0]=>{{1},{2,3,4,5}}=>[4,1]
[1,5,4,3,2]=>[1,0,1,1,1,1,0,0,0,0]=>{{1},{2,3,4,5}}=>[4,1]
[2,1,3,4,5]=>[1,1,0,0,1,0,1,0,1,0]=>{{1,2},{3},{4},{5}}=>[2,1,1,1]
[2,1,3,5,4]=>[1,1,0,0,1,0,1,1,0,0]=>{{1,2},{3},{4,5}}=>[2,2,1]
[2,1,4,3,5]=>[1,1,0,0,1,1,0,0,1,0]=>{{1,2},{3,4},{5}}=>[2,2,1]
[2,1,4,5,3]=>[1,1,0,0,1,1,0,1,0,0]=>{{1,2},{3,5},{4}}=>[2,2,1]
[2,1,5,3,4]=>[1,1,0,0,1,1,1,0,0,0]=>{{1,2},{3,4,5}}=>[3,2]
[2,1,5,4,3]=>[1,1,0,0,1,1,1,0,0,0]=>{{1,2},{3,4,5}}=>[3,2]
[2,3,1,4,5]=>[1,1,0,1,0,0,1,0,1,0]=>{{1,3},{2},{4},{5}}=>[2,1,1,1]
[2,3,1,5,4]=>[1,1,0,1,0,0,1,1,0,0]=>{{1,3},{2},{4,5}}=>[2,2,1]
[2,3,4,1,5]=>[1,1,0,1,0,1,0,0,1,0]=>{{1,4},{2},{3},{5}}=>[2,1,1,1]
[2,3,4,5,1]=>[1,1,0,1,0,1,0,1,0,0]=>{{1,5},{2},{3},{4}}=>[2,1,1,1]
[2,3,5,1,4]=>[1,1,0,1,0,1,1,0,0,0]=>{{1,4,5},{2},{3}}=>[3,1,1]
[2,3,5,4,1]=>[1,1,0,1,0,1,1,0,0,0]=>{{1,4,5},{2},{3}}=>[3,1,1]
[2,4,1,3,5]=>[1,1,0,1,1,0,0,0,1,0]=>{{1,3,4},{2},{5}}=>[3,1,1]
[2,4,1,5,3]=>[1,1,0,1,1,0,0,1,0,0]=>{{1,5},{2},{3,4}}=>[2,2,1]
[2,4,3,1,5]=>[1,1,0,1,1,0,0,0,1,0]=>{{1,3,4},{2},{5}}=>[3,1,1]
[2,4,3,5,1]=>[1,1,0,1,1,0,0,1,0,0]=>{{1,5},{2},{3,4}}=>[2,2,1]
[2,4,5,1,3]=>[1,1,0,1,1,0,1,0,0,0]=>{{1,3,5},{2},{4}}=>[3,1,1]
[2,4,5,3,1]=>[1,1,0,1,1,0,1,0,0,0]=>{{1,3,5},{2},{4}}=>[3,1,1]
[2,5,1,3,4]=>[1,1,0,1,1,1,0,0,0,0]=>{{1,3,4,5},{2}}=>[4,1]
[2,5,1,4,3]=>[1,1,0,1,1,1,0,0,0,0]=>{{1,3,4,5},{2}}=>[4,1]
[2,5,3,1,4]=>[1,1,0,1,1,1,0,0,0,0]=>{{1,3,4,5},{2}}=>[4,1]
[2,5,3,4,1]=>[1,1,0,1,1,1,0,0,0,0]=>{{1,3,4,5},{2}}=>[4,1]
[2,5,4,1,3]=>[1,1,0,1,1,1,0,0,0,0]=>{{1,3,4,5},{2}}=>[4,1]
[2,5,4,3,1]=>[1,1,0,1,1,1,0,0,0,0]=>{{1,3,4,5},{2}}=>[4,1]
[3,1,2,4,5]=>[1,1,1,0,0,0,1,0,1,0]=>{{1,2,3},{4},{5}}=>[3,1,1]
[3,1,2,5,4]=>[1,1,1,0,0,0,1,1,0,0]=>{{1,2,3},{4,5}}=>[3,2]
[3,1,4,2,5]=>[1,1,1,0,0,1,0,0,1,0]=>{{1,4},{2,3},{5}}=>[2,2,1]
[3,1,4,5,2]=>[1,1,1,0,0,1,0,1,0,0]=>{{1,5},{2,3},{4}}=>[2,2,1]
[3,1,5,2,4]=>[1,1,1,0,0,1,1,0,0,0]=>{{1,4,5},{2,3}}=>[3,2]
[3,1,5,4,2]=>[1,1,1,0,0,1,1,0,0,0]=>{{1,4,5},{2,3}}=>[3,2]
[3,2,1,4,5]=>[1,1,1,0,0,0,1,0,1,0]=>{{1,2,3},{4},{5}}=>[3,1,1]
[3,2,1,5,4]=>[1,1,1,0,0,0,1,1,0,0]=>{{1,2,3},{4,5}}=>[3,2]
[3,2,4,1,5]=>[1,1,1,0,0,1,0,0,1,0]=>{{1,4},{2,3},{5}}=>[2,2,1]
[3,2,4,5,1]=>[1,1,1,0,0,1,0,1,0,0]=>{{1,5},{2,3},{4}}=>[2,2,1]
[3,2,5,1,4]=>[1,1,1,0,0,1,1,0,0,0]=>{{1,4,5},{2,3}}=>[3,2]
[3,2,5,4,1]=>[1,1,1,0,0,1,1,0,0,0]=>{{1,4,5},{2,3}}=>[3,2]
[3,4,1,2,5]=>[1,1,1,0,1,0,0,0,1,0]=>{{1,2,4},{3},{5}}=>[3,1,1]
[3,4,1,5,2]=>[1,1,1,0,1,0,0,1,0,0]=>{{1,5},{2,4},{3}}=>[2,2,1]
[3,4,2,1,5]=>[1,1,1,0,1,0,0,0,1,0]=>{{1,2,4},{3},{5}}=>[3,1,1]
[3,4,2,5,1]=>[1,1,1,0,1,0,0,1,0,0]=>{{1,5},{2,4},{3}}=>[2,2,1]
[3,4,5,1,2]=>[1,1,1,0,1,0,1,0,0,0]=>{{1,2,5},{3},{4}}=>[3,1,1]
[3,4,5,2,1]=>[1,1,1,0,1,0,1,0,0,0]=>{{1,2,5},{3},{4}}=>[3,1,1]
[3,5,1,2,4]=>[1,1,1,0,1,1,0,0,0,0]=>{{1,2,4,5},{3}}=>[4,1]
[3,5,1,4,2]=>[1,1,1,0,1,1,0,0,0,0]=>{{1,2,4,5},{3}}=>[4,1]
[3,5,2,1,4]=>[1,1,1,0,1,1,0,0,0,0]=>{{1,2,4,5},{3}}=>[4,1]
[3,5,2,4,1]=>[1,1,1,0,1,1,0,0,0,0]=>{{1,2,4,5},{3}}=>[4,1]
[3,5,4,1,2]=>[1,1,1,0,1,1,0,0,0,0]=>{{1,2,4,5},{3}}=>[4,1]
[3,5,4,2,1]=>[1,1,1,0,1,1,0,0,0,0]=>{{1,2,4,5},{3}}=>[4,1]
[4,1,2,3,5]=>[1,1,1,1,0,0,0,0,1,0]=>{{1,2,3,4},{5}}=>[4,1]
[4,1,2,5,3]=>[1,1,1,1,0,0,0,1,0,0]=>{{1,5},{2,3,4}}=>[3,2]
[4,1,3,2,5]=>[1,1,1,1,0,0,0,0,1,0]=>{{1,2,3,4},{5}}=>[4,1]
[4,1,3,5,2]=>[1,1,1,1,0,0,0,1,0,0]=>{{1,5},{2,3,4}}=>[3,2]
[4,1,5,2,3]=>[1,1,1,1,0,0,1,0,0,0]=>{{1,2,5},{3,4}}=>[3,2]
[4,1,5,3,2]=>[1,1,1,1,0,0,1,0,0,0]=>{{1,2,5},{3,4}}=>[3,2]
[4,2,1,3,5]=>[1,1,1,1,0,0,0,0,1,0]=>{{1,2,3,4},{5}}=>[4,1]
[4,2,1,5,3]=>[1,1,1,1,0,0,0,1,0,0]=>{{1,5},{2,3,4}}=>[3,2]
[4,2,3,1,5]=>[1,1,1,1,0,0,0,0,1,0]=>{{1,2,3,4},{5}}=>[4,1]
[4,2,3,5,1]=>[1,1,1,1,0,0,0,1,0,0]=>{{1,5},{2,3,4}}=>[3,2]
[4,2,5,1,3]=>[1,1,1,1,0,0,1,0,0,0]=>{{1,2,5},{3,4}}=>[3,2]
[4,2,5,3,1]=>[1,1,1,1,0,0,1,0,0,0]=>{{1,2,5},{3,4}}=>[3,2]
[4,3,1,2,5]=>[1,1,1,1,0,0,0,0,1,0]=>{{1,2,3,4},{5}}=>[4,1]
[4,3,1,5,2]=>[1,1,1,1,0,0,0,1,0,0]=>{{1,5},{2,3,4}}=>[3,2]
[4,3,2,1,5]=>[1,1,1,1,0,0,0,0,1,0]=>{{1,2,3,4},{5}}=>[4,1]
[4,3,2,5,1]=>[1,1,1,1,0,0,0,1,0,0]=>{{1,5},{2,3,4}}=>[3,2]
[4,3,5,1,2]=>[1,1,1,1,0,0,1,0,0,0]=>{{1,2,5},{3,4}}=>[3,2]
[4,3,5,2,1]=>[1,1,1,1,0,0,1,0,0,0]=>{{1,2,5},{3,4}}=>[3,2]
[4,5,1,2,3]=>[1,1,1,1,0,1,0,0,0,0]=>{{1,2,3,5},{4}}=>[4,1]
[4,5,1,3,2]=>[1,1,1,1,0,1,0,0,0,0]=>{{1,2,3,5},{4}}=>[4,1]
[4,5,2,1,3]=>[1,1,1,1,0,1,0,0,0,0]=>{{1,2,3,5},{4}}=>[4,1]
[4,5,2,3,1]=>[1,1,1,1,0,1,0,0,0,0]=>{{1,2,3,5},{4}}=>[4,1]
[4,5,3,1,2]=>[1,1,1,1,0,1,0,0,0,0]=>{{1,2,3,5},{4}}=>[4,1]
[4,5,3,2,1]=>[1,1,1,1,0,1,0,0,0,0]=>{{1,2,3,5},{4}}=>[4,1]
[5,1,2,3,4]=>[1,1,1,1,1,0,0,0,0,0]=>{{1,2,3,4,5}}=>[5]
[5,1,2,4,3]=>[1,1,1,1,1,0,0,0,0,0]=>{{1,2,3,4,5}}=>[5]
[5,1,3,2,4]=>[1,1,1,1,1,0,0,0,0,0]=>{{1,2,3,4,5}}=>[5]
[5,1,3,4,2]=>[1,1,1,1,1,0,0,0,0,0]=>{{1,2,3,4,5}}=>[5]
[5,1,4,2,3]=>[1,1,1,1,1,0,0,0,0,0]=>{{1,2,3,4,5}}=>[5]
[5,1,4,3,2]=>[1,1,1,1,1,0,0,0,0,0]=>{{1,2,3,4,5}}=>[5]
[5,2,1,3,4]=>[1,1,1,1,1,0,0,0,0,0]=>{{1,2,3,4,5}}=>[5]
[5,2,1,4,3]=>[1,1,1,1,1,0,0,0,0,0]=>{{1,2,3,4,5}}=>[5]
[5,2,3,1,4]=>[1,1,1,1,1,0,0,0,0,0]=>{{1,2,3,4,5}}=>[5]
[5,2,3,4,1]=>[1,1,1,1,1,0,0,0,0,0]=>{{1,2,3,4,5}}=>[5]
[5,2,4,1,3]=>[1,1,1,1,1,0,0,0,0,0]=>{{1,2,3,4,5}}=>[5]
[5,2,4,3,1]=>[1,1,1,1,1,0,0,0,0,0]=>{{1,2,3,4,5}}=>[5]
[5,3,1,2,4]=>[1,1,1,1,1,0,0,0,0,0]=>{{1,2,3,4,5}}=>[5]
[5,3,1,4,2]=>[1,1,1,1,1,0,0,0,0,0]=>{{1,2,3,4,5}}=>[5]
[5,3,2,1,4]=>[1,1,1,1,1,0,0,0,0,0]=>{{1,2,3,4,5}}=>[5]
[5,3,2,4,1]=>[1,1,1,1,1,0,0,0,0,0]=>{{1,2,3,4,5}}=>[5]
[5,3,4,1,2]=>[1,1,1,1,1,0,0,0,0,0]=>{{1,2,3,4,5}}=>[5]
[5,3,4,2,1]=>[1,1,1,1,1,0,0,0,0,0]=>{{1,2,3,4,5}}=>[5]
[5,4,1,2,3]=>[1,1,1,1,1,0,0,0,0,0]=>{{1,2,3,4,5}}=>[5]
[5,4,1,3,2]=>[1,1,1,1,1,0,0,0,0,0]=>{{1,2,3,4,5}}=>[5]
[5,4,2,1,3]=>[1,1,1,1,1,0,0,0,0,0]=>{{1,2,3,4,5}}=>[5]
[5,4,2,3,1]=>[1,1,1,1,1,0,0,0,0,0]=>{{1,2,3,4,5}}=>[5]
[5,4,3,1,2]=>[1,1,1,1,1,0,0,0,0,0]=>{{1,2,3,4,5}}=>[5]
[5,4,3,2,1]=>[1,1,1,1,1,0,0,0,0,0]=>{{1,2,3,4,5}}=>[5]
[1,2,3,4,5,6]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>{{1},{2},{3},{4},{5},{6}}=>[1,1,1,1,1,1]
[1,2,3,4,6,5]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>{{1},{2},{3},{4},{5,6}}=>[2,1,1,1,1]
[1,2,3,5,4,6]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>{{1},{2},{3},{4,5},{6}}=>[2,1,1,1,1]
[1,2,3,5,6,4]=>[1,0,1,0,1,0,1,1,0,1,0,0]=>{{1},{2},{3},{4,6},{5}}=>[2,1,1,1,1]
[1,2,3,6,4,5]=>[1,0,1,0,1,0,1,1,1,0,0,0]=>{{1},{2},{3},{4,5,6}}=>[3,1,1,1]
[1,2,3,6,5,4]=>[1,0,1,0,1,0,1,1,1,0,0,0]=>{{1},{2},{3},{4,5,6}}=>[3,1,1,1]
[1,2,4,3,5,6]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>{{1},{2},{3,4},{5},{6}}=>[2,1,1,1,1]
[1,2,4,3,6,5]=>[1,0,1,0,1,1,0,0,1,1,0,0]=>{{1},{2},{3,4},{5,6}}=>[2,2,1,1]
[1,2,4,5,3,6]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>{{1},{2},{3,5},{4},{6}}=>[2,1,1,1,1]
[1,2,4,5,6,3]=>[1,0,1,0,1,1,0,1,0,1,0,0]=>{{1},{2},{3,6},{4},{5}}=>[2,1,1,1,1]
[1,2,4,6,3,5]=>[1,0,1,0,1,1,0,1,1,0,0,0]=>{{1},{2},{3,5,6},{4}}=>[3,1,1,1]
[1,2,4,6,5,3]=>[1,0,1,0,1,1,0,1,1,0,0,0]=>{{1},{2},{3,5,6},{4}}=>[3,1,1,1]
[1,2,5,3,4,6]=>[1,0,1,0,1,1,1,0,0,0,1,0]=>{{1},{2},{3,4,5},{6}}=>[3,1,1,1]
[1,2,5,3,6,4]=>[1,0,1,0,1,1,1,0,0,1,0,0]=>{{1},{2},{3,6},{4,5}}=>[2,2,1,1]
[1,2,5,4,3,6]=>[1,0,1,0,1,1,1,0,0,0,1,0]=>{{1},{2},{3,4,5},{6}}=>[3,1,1,1]
[1,2,5,4,6,3]=>[1,0,1,0,1,1,1,0,0,1,0,0]=>{{1},{2},{3,6},{4,5}}=>[2,2,1,1]
[1,2,5,6,3,4]=>[1,0,1,0,1,1,1,0,1,0,0,0]=>{{1},{2},{3,4,6},{5}}=>[3,1,1,1]
[1,2,5,6,4,3]=>[1,0,1,0,1,1,1,0,1,0,0,0]=>{{1},{2},{3,4,6},{5}}=>[3,1,1,1]
[1,2,6,3,4,5]=>[1,0,1,0,1,1,1,1,0,0,0,0]=>{{1},{2},{3,4,5,6}}=>[4,1,1]
[1,2,6,3,5,4]=>[1,0,1,0,1,1,1,1,0,0,0,0]=>{{1},{2},{3,4,5,6}}=>[4,1,1]
[1,2,6,4,3,5]=>[1,0,1,0,1,1,1,1,0,0,0,0]=>{{1},{2},{3,4,5,6}}=>[4,1,1]
[1,2,6,4,5,3]=>[1,0,1,0,1,1,1,1,0,0,0,0]=>{{1},{2},{3,4,5,6}}=>[4,1,1]
[1,2,6,5,3,4]=>[1,0,1,0,1,1,1,1,0,0,0,0]=>{{1},{2},{3,4,5,6}}=>[4,1,1]
[1,2,6,5,4,3]=>[1,0,1,0,1,1,1,1,0,0,0,0]=>{{1},{2},{3,4,5,6}}=>[4,1,1]
[1,3,2,4,5,6]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>{{1},{2,3},{4},{5},{6}}=>[2,1,1,1,1]
[1,3,2,4,6,5]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>{{1},{2,3},{4},{5,6}}=>[2,2,1,1]
[1,3,2,5,4,6]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>{{1},{2,3},{4,5},{6}}=>[2,2,1,1]
[1,3,2,5,6,4]=>[1,0,1,1,0,0,1,1,0,1,0,0]=>{{1},{2,3},{4,6},{5}}=>[2,2,1,1]
[1,3,2,6,4,5]=>[1,0,1,1,0,0,1,1,1,0,0,0]=>{{1},{2,3},{4,5,6}}=>[3,2,1]
[1,3,2,6,5,4]=>[1,0,1,1,0,0,1,1,1,0,0,0]=>{{1},{2,3},{4,5,6}}=>[3,2,1]
[1,3,4,2,5,6]=>[1,0,1,1,0,1,0,0,1,0,1,0]=>{{1},{2,4},{3},{5},{6}}=>[2,1,1,1,1]
[1,3,4,2,6,5]=>[1,0,1,1,0,1,0,0,1,1,0,0]=>{{1},{2,4},{3},{5,6}}=>[2,2,1,1]
[1,3,4,5,2,6]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>{{1},{2,5},{3},{4},{6}}=>[2,1,1,1,1]
[1,3,4,5,6,2]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>{{1},{2,6},{3},{4},{5}}=>[2,1,1,1,1]
[1,3,4,6,2,5]=>[1,0,1,1,0,1,0,1,1,0,0,0]=>{{1},{2,5,6},{3},{4}}=>[3,1,1,1]
[1,3,4,6,5,2]=>[1,0,1,1,0,1,0,1,1,0,0,0]=>{{1},{2,5,6},{3},{4}}=>[3,1,1,1]
[1,3,5,2,4,6]=>[1,0,1,1,0,1,1,0,0,0,1,0]=>{{1},{2,4,5},{3},{6}}=>[3,1,1,1]
[1,3,5,2,6,4]=>[1,0,1,1,0,1,1,0,0,1,0,0]=>{{1},{2,6},{3},{4,5}}=>[2,2,1,1]
[1,3,5,4,2,6]=>[1,0,1,1,0,1,1,0,0,0,1,0]=>{{1},{2,4,5},{3},{6}}=>[3,1,1,1]
[1,3,5,4,6,2]=>[1,0,1,1,0,1,1,0,0,1,0,0]=>{{1},{2,6},{3},{4,5}}=>[2,2,1,1]
[1,3,5,6,2,4]=>[1,0,1,1,0,1,1,0,1,0,0,0]=>{{1},{2,4,6},{3},{5}}=>[3,1,1,1]
[1,3,5,6,4,2]=>[1,0,1,1,0,1,1,0,1,0,0,0]=>{{1},{2,4,6},{3},{5}}=>[3,1,1,1]
[1,3,6,2,4,5]=>[1,0,1,1,0,1,1,1,0,0,0,0]=>{{1},{2,4,5,6},{3}}=>[4,1,1]
[1,3,6,2,5,4]=>[1,0,1,1,0,1,1,1,0,0,0,0]=>{{1},{2,4,5,6},{3}}=>[4,1,1]
[1,3,6,4,2,5]=>[1,0,1,1,0,1,1,1,0,0,0,0]=>{{1},{2,4,5,6},{3}}=>[4,1,1]
[1,3,6,4,5,2]=>[1,0,1,1,0,1,1,1,0,0,0,0]=>{{1},{2,4,5,6},{3}}=>[4,1,1]
[1,3,6,5,2,4]=>[1,0,1,1,0,1,1,1,0,0,0,0]=>{{1},{2,4,5,6},{3}}=>[4,1,1]
[1,3,6,5,4,2]=>[1,0,1,1,0,1,1,1,0,0,0,0]=>{{1},{2,4,5,6},{3}}=>[4,1,1]
[1,4,2,3,5,6]=>[1,0,1,1,1,0,0,0,1,0,1,0]=>{{1},{2,3,4},{5},{6}}=>[3,1,1,1]
[1,4,2,3,6,5]=>[1,0,1,1,1,0,0,0,1,1,0,0]=>{{1},{2,3,4},{5,6}}=>[3,2,1]
[1,4,2,5,3,6]=>[1,0,1,1,1,0,0,1,0,0,1,0]=>{{1},{2,5},{3,4},{6}}=>[2,2,1,1]
[1,4,2,5,6,3]=>[1,0,1,1,1,0,0,1,0,1,0,0]=>{{1},{2,6},{3,4},{5}}=>[2,2,1,1]
[1,4,2,6,3,5]=>[1,0,1,1,1,0,0,1,1,0,0,0]=>{{1},{2,5,6},{3,4}}=>[3,2,1]
[1,4,2,6,5,3]=>[1,0,1,1,1,0,0,1,1,0,0,0]=>{{1},{2,5,6},{3,4}}=>[3,2,1]
[1,4,3,2,5,6]=>[1,0,1,1,1,0,0,0,1,0,1,0]=>{{1},{2,3,4},{5},{6}}=>[3,1,1,1]
[1,4,3,2,6,5]=>[1,0,1,1,1,0,0,0,1,1,0,0]=>{{1},{2,3,4},{5,6}}=>[3,2,1]
[1,4,3,5,2,6]=>[1,0,1,1,1,0,0,1,0,0,1,0]=>{{1},{2,5},{3,4},{6}}=>[2,2,1,1]
[1,4,3,5,6,2]=>[1,0,1,1,1,0,0,1,0,1,0,0]=>{{1},{2,6},{3,4},{5}}=>[2,2,1,1]
[1,4,3,6,2,5]=>[1,0,1,1,1,0,0,1,1,0,0,0]=>{{1},{2,5,6},{3,4}}=>[3,2,1]
[1,4,3,6,5,2]=>[1,0,1,1,1,0,0,1,1,0,0,0]=>{{1},{2,5,6},{3,4}}=>[3,2,1]
[1,4,5,2,3,6]=>[1,0,1,1,1,0,1,0,0,0,1,0]=>{{1},{2,3,5},{4},{6}}=>[3,1,1,1]
[1,4,5,2,6,3]=>[1,0,1,1,1,0,1,0,0,1,0,0]=>{{1},{2,6},{3,5},{4}}=>[2,2,1,1]
[1,4,5,3,2,6]=>[1,0,1,1,1,0,1,0,0,0,1,0]=>{{1},{2,3,5},{4},{6}}=>[3,1,1,1]
[1,4,5,3,6,2]=>[1,0,1,1,1,0,1,0,0,1,0,0]=>{{1},{2,6},{3,5},{4}}=>[2,2,1,1]
[1,4,5,6,2,3]=>[1,0,1,1,1,0,1,0,1,0,0,0]=>{{1},{2,3,6},{4},{5}}=>[3,1,1,1]
[1,4,5,6,3,2]=>[1,0,1,1,1,0,1,0,1,0,0,0]=>{{1},{2,3,6},{4},{5}}=>[3,1,1,1]
[1,4,6,2,3,5]=>[1,0,1,1,1,0,1,1,0,0,0,0]=>{{1},{2,3,5,6},{4}}=>[4,1,1]
[1,4,6,2,5,3]=>[1,0,1,1,1,0,1,1,0,0,0,0]=>{{1},{2,3,5,6},{4}}=>[4,1,1]
[1,4,6,3,2,5]=>[1,0,1,1,1,0,1,1,0,0,0,0]=>{{1},{2,3,5,6},{4}}=>[4,1,1]
[1,4,6,3,5,2]=>[1,0,1,1,1,0,1,1,0,0,0,0]=>{{1},{2,3,5,6},{4}}=>[4,1,1]
[1,4,6,5,2,3]=>[1,0,1,1,1,0,1,1,0,0,0,0]=>{{1},{2,3,5,6},{4}}=>[4,1,1]
[1,4,6,5,3,2]=>[1,0,1,1,1,0,1,1,0,0,0,0]=>{{1},{2,3,5,6},{4}}=>[4,1,1]
[1,5,2,3,4,6]=>[1,0,1,1,1,1,0,0,0,0,1,0]=>{{1},{2,3,4,5},{6}}=>[4,1,1]
[1,5,2,3,6,4]=>[1,0,1,1,1,1,0,0,0,1,0,0]=>{{1},{2,6},{3,4,5}}=>[3,2,1]
[1,5,2,4,3,6]=>[1,0,1,1,1,1,0,0,0,0,1,0]=>{{1},{2,3,4,5},{6}}=>[4,1,1]
[1,5,2,4,6,3]=>[1,0,1,1,1,1,0,0,0,1,0,0]=>{{1},{2,6},{3,4,5}}=>[3,2,1]
[1,5,2,6,3,4]=>[1,0,1,1,1,1,0,0,1,0,0,0]=>{{1},{2,3,6},{4,5}}=>[3,2,1]
[1,5,2,6,4,3]=>[1,0,1,1,1,1,0,0,1,0,0,0]=>{{1},{2,3,6},{4,5}}=>[3,2,1]
[1,5,3,2,4,6]=>[1,0,1,1,1,1,0,0,0,0,1,0]=>{{1},{2,3,4,5},{6}}=>[4,1,1]
[1,5,3,2,6,4]=>[1,0,1,1,1,1,0,0,0,1,0,0]=>{{1},{2,6},{3,4,5}}=>[3,2,1]
[1,5,3,4,2,6]=>[1,0,1,1,1,1,0,0,0,0,1,0]=>{{1},{2,3,4,5},{6}}=>[4,1,1]
[1,5,3,4,6,2]=>[1,0,1,1,1,1,0,0,0,1,0,0]=>{{1},{2,6},{3,4,5}}=>[3,2,1]
[1,5,3,6,2,4]=>[1,0,1,1,1,1,0,0,1,0,0,0]=>{{1},{2,3,6},{4,5}}=>[3,2,1]
[1,5,3,6,4,2]=>[1,0,1,1,1,1,0,0,1,0,0,0]=>{{1},{2,3,6},{4,5}}=>[3,2,1]
[1,5,4,2,3,6]=>[1,0,1,1,1,1,0,0,0,0,1,0]=>{{1},{2,3,4,5},{6}}=>[4,1,1]
[1,5,4,2,6,3]=>[1,0,1,1,1,1,0,0,0,1,0,0]=>{{1},{2,6},{3,4,5}}=>[3,2,1]
[1,5,4,3,2,6]=>[1,0,1,1,1,1,0,0,0,0,1,0]=>{{1},{2,3,4,5},{6}}=>[4,1,1]
[1,5,4,3,6,2]=>[1,0,1,1,1,1,0,0,0,1,0,0]=>{{1},{2,6},{3,4,5}}=>[3,2,1]
[1,5,4,6,2,3]=>[1,0,1,1,1,1,0,0,1,0,0,0]=>{{1},{2,3,6},{4,5}}=>[3,2,1]
[1,5,4,6,3,2]=>[1,0,1,1,1,1,0,0,1,0,0,0]=>{{1},{2,3,6},{4,5}}=>[3,2,1]
[1,5,6,2,3,4]=>[1,0,1,1,1,1,0,1,0,0,0,0]=>{{1},{2,3,4,6},{5}}=>[4,1,1]
[1,5,6,2,4,3]=>[1,0,1,1,1,1,0,1,0,0,0,0]=>{{1},{2,3,4,6},{5}}=>[4,1,1]
[1,5,6,3,2,4]=>[1,0,1,1,1,1,0,1,0,0,0,0]=>{{1},{2,3,4,6},{5}}=>[4,1,1]
[1,5,6,3,4,2]=>[1,0,1,1,1,1,0,1,0,0,0,0]=>{{1},{2,3,4,6},{5}}=>[4,1,1]
[1,5,6,4,2,3]=>[1,0,1,1,1,1,0,1,0,0,0,0]=>{{1},{2,3,4,6},{5}}=>[4,1,1]
[1,5,6,4,3,2]=>[1,0,1,1,1,1,0,1,0,0,0,0]=>{{1},{2,3,4,6},{5}}=>[4,1,1]
[1,6,2,3,4,5]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>{{1},{2,3,4,5,6}}=>[5,1]
[1,6,2,3,5,4]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>{{1},{2,3,4,5,6}}=>[5,1]
[1,6,2,4,3,5]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>{{1},{2,3,4,5,6}}=>[5,1]
[1,6,2,4,5,3]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>{{1},{2,3,4,5,6}}=>[5,1]
[1,6,2,5,3,4]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>{{1},{2,3,4,5,6}}=>[5,1]
[1,6,2,5,4,3]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>{{1},{2,3,4,5,6}}=>[5,1]
[1,6,3,2,4,5]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>{{1},{2,3,4,5,6}}=>[5,1]
[1,6,3,2,5,4]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>{{1},{2,3,4,5,6}}=>[5,1]
[1,6,3,4,2,5]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>{{1},{2,3,4,5,6}}=>[5,1]
[1,6,3,4,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>{{1},{2,3,4,5,6}}=>[5,1]
[1,6,3,5,2,4]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>{{1},{2,3,4,5,6}}=>[5,1]
[1,6,3,5,4,2]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>{{1},{2,3,4,5,6}}=>[5,1]
[1,6,4,2,3,5]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>{{1},{2,3,4,5,6}}=>[5,1]
[1,6,4,2,5,3]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>{{1},{2,3,4,5,6}}=>[5,1]
[1,6,4,3,2,5]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>{{1},{2,3,4,5,6}}=>[5,1]
[1,6,4,3,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>{{1},{2,3,4,5,6}}=>[5,1]
[1,6,4,5,2,3]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>{{1},{2,3,4,5,6}}=>[5,1]
[1,6,4,5,3,2]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>{{1},{2,3,4,5,6}}=>[5,1]
[1,6,5,2,3,4]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>{{1},{2,3,4,5,6}}=>[5,1]
[1,6,5,2,4,3]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>{{1},{2,3,4,5,6}}=>[5,1]
[1,6,5,3,2,4]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>{{1},{2,3,4,5,6}}=>[5,1]
[1,6,5,3,4,2]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>{{1},{2,3,4,5,6}}=>[5,1]
[1,6,5,4,2,3]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>{{1},{2,3,4,5,6}}=>[5,1]
[1,6,5,4,3,2]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>{{1},{2,3,4,5,6}}=>[5,1]
[2,1,3,4,5,6]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>{{1,2},{3},{4},{5},{6}}=>[2,1,1,1,1]
[2,1,3,4,6,5]=>[1,1,0,0,1,0,1,0,1,1,0,0]=>{{1,2},{3},{4},{5,6}}=>[2,2,1,1]
[2,1,3,5,4,6]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>{{1,2},{3},{4,5},{6}}=>[2,2,1,1]
[2,1,3,5,6,4]=>[1,1,0,0,1,0,1,1,0,1,0,0]=>{{1,2},{3},{4,6},{5}}=>[2,2,1,1]
[2,1,3,6,4,5]=>[1,1,0,0,1,0,1,1,1,0,0,0]=>{{1,2},{3},{4,5,6}}=>[3,2,1]
[2,1,3,6,5,4]=>[1,1,0,0,1,0,1,1,1,0,0,0]=>{{1,2},{3},{4,5,6}}=>[3,2,1]
[2,1,4,3,5,6]=>[1,1,0,0,1,1,0,0,1,0,1,0]=>{{1,2},{3,4},{5},{6}}=>[2,2,1,1]
[2,1,4,3,6,5]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>{{1,2},{3,4},{5,6}}=>[2,2,2]
[2,1,4,5,3,6]=>[1,1,0,0,1,1,0,1,0,0,1,0]=>{{1,2},{3,5},{4},{6}}=>[2,2,1,1]
[2,1,4,5,6,3]=>[1,1,0,0,1,1,0,1,0,1,0,0]=>{{1,2},{3,6},{4},{5}}=>[2,2,1,1]
[2,1,4,6,3,5]=>[1,1,0,0,1,1,0,1,1,0,0,0]=>{{1,2},{3,5,6},{4}}=>[3,2,1]
[2,1,4,6,5,3]=>[1,1,0,0,1,1,0,1,1,0,0,0]=>{{1,2},{3,5,6},{4}}=>[3,2,1]
[2,1,5,3,4,6]=>[1,1,0,0,1,1,1,0,0,0,1,0]=>{{1,2},{3,4,5},{6}}=>[3,2,1]
[2,1,5,3,6,4]=>[1,1,0,0,1,1,1,0,0,1,0,0]=>{{1,2},{3,6},{4,5}}=>[2,2,2]
[2,1,5,4,3,6]=>[1,1,0,0,1,1,1,0,0,0,1,0]=>{{1,2},{3,4,5},{6}}=>[3,2,1]
[2,1,5,4,6,3]=>[1,1,0,0,1,1,1,0,0,1,0,0]=>{{1,2},{3,6},{4,5}}=>[2,2,2]
[2,1,5,6,3,4]=>[1,1,0,0,1,1,1,0,1,0,0,0]=>{{1,2},{3,4,6},{5}}=>[3,2,1]
[2,1,5,6,4,3]=>[1,1,0,0,1,1,1,0,1,0,0,0]=>{{1,2},{3,4,6},{5}}=>[3,2,1]
[2,1,6,3,4,5]=>[1,1,0,0,1,1,1,1,0,0,0,0]=>{{1,2},{3,4,5,6}}=>[4,2]
[2,1,6,3,5,4]=>[1,1,0,0,1,1,1,1,0,0,0,0]=>{{1,2},{3,4,5,6}}=>[4,2]
[2,1,6,4,3,5]=>[1,1,0,0,1,1,1,1,0,0,0,0]=>{{1,2},{3,4,5,6}}=>[4,2]
[2,1,6,4,5,3]=>[1,1,0,0,1,1,1,1,0,0,0,0]=>{{1,2},{3,4,5,6}}=>[4,2]
[2,1,6,5,3,4]=>[1,1,0,0,1,1,1,1,0,0,0,0]=>{{1,2},{3,4,5,6}}=>[4,2]
[2,1,6,5,4,3]=>[1,1,0,0,1,1,1,1,0,0,0,0]=>{{1,2},{3,4,5,6}}=>[4,2]
[2,3,1,4,5,6]=>[1,1,0,1,0,0,1,0,1,0,1,0]=>{{1,3},{2},{4},{5},{6}}=>[2,1,1,1,1]
[2,3,1,4,6,5]=>[1,1,0,1,0,0,1,0,1,1,0,0]=>{{1,3},{2},{4},{5,6}}=>[2,2,1,1]
[2,3,1,5,4,6]=>[1,1,0,1,0,0,1,1,0,0,1,0]=>{{1,3},{2},{4,5},{6}}=>[2,2,1,1]
[2,3,1,5,6,4]=>[1,1,0,1,0,0,1,1,0,1,0,0]=>{{1,3},{2},{4,6},{5}}=>[2,2,1,1]
[2,3,1,6,4,5]=>[1,1,0,1,0,0,1,1,1,0,0,0]=>{{1,3},{2},{4,5,6}}=>[3,2,1]
[2,3,1,6,5,4]=>[1,1,0,1,0,0,1,1,1,0,0,0]=>{{1,3},{2},{4,5,6}}=>[3,2,1]
[2,3,4,1,5,6]=>[1,1,0,1,0,1,0,0,1,0,1,0]=>{{1,4},{2},{3},{5},{6}}=>[2,1,1,1,1]
[2,3,4,1,6,5]=>[1,1,0,1,0,1,0,0,1,1,0,0]=>{{1,4},{2},{3},{5,6}}=>[2,2,1,1]
[2,3,4,5,1,6]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>{{1,5},{2},{3},{4},{6}}=>[2,1,1,1,1]
[2,3,4,5,6,1]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>{{1,6},{2},{3},{4},{5}}=>[2,1,1,1,1]
[2,3,4,6,1,5]=>[1,1,0,1,0,1,0,1,1,0,0,0]=>{{1,5,6},{2},{3},{4}}=>[3,1,1,1]
[2,3,4,6,5,1]=>[1,1,0,1,0,1,0,1,1,0,0,0]=>{{1,5,6},{2},{3},{4}}=>[3,1,1,1]
[2,3,5,1,4,6]=>[1,1,0,1,0,1,1,0,0,0,1,0]=>{{1,4,5},{2},{3},{6}}=>[3,1,1,1]
[2,3,5,1,6,4]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>{{1,6},{2},{3},{4,5}}=>[2,2,1,1]
[2,3,5,4,1,6]=>[1,1,0,1,0,1,1,0,0,0,1,0]=>{{1,4,5},{2},{3},{6}}=>[3,1,1,1]
[2,3,5,4,6,1]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>{{1,6},{2},{3},{4,5}}=>[2,2,1,1]
[2,3,5,6,1,4]=>[1,1,0,1,0,1,1,0,1,0,0,0]=>{{1,4,6},{2},{3},{5}}=>[3,1,1,1]
[2,3,5,6,4,1]=>[1,1,0,1,0,1,1,0,1,0,0,0]=>{{1,4,6},{2},{3},{5}}=>[3,1,1,1]
[2,3,6,1,4,5]=>[1,1,0,1,0,1,1,1,0,0,0,0]=>{{1,4,5,6},{2},{3}}=>[4,1,1]
[2,3,6,1,5,4]=>[1,1,0,1,0,1,1,1,0,0,0,0]=>{{1,4,5,6},{2},{3}}=>[4,1,1]
[2,3,6,4,1,5]=>[1,1,0,1,0,1,1,1,0,0,0,0]=>{{1,4,5,6},{2},{3}}=>[4,1,1]
[2,3,6,4,5,1]=>[1,1,0,1,0,1,1,1,0,0,0,0]=>{{1,4,5,6},{2},{3}}=>[4,1,1]
[2,3,6,5,1,4]=>[1,1,0,1,0,1,1,1,0,0,0,0]=>{{1,4,5,6},{2},{3}}=>[4,1,1]
[2,3,6,5,4,1]=>[1,1,0,1,0,1,1,1,0,0,0,0]=>{{1,4,5,6},{2},{3}}=>[4,1,1]
[2,4,1,3,5,6]=>[1,1,0,1,1,0,0,0,1,0,1,0]=>{{1,3,4},{2},{5},{6}}=>[3,1,1,1]
[2,4,1,3,6,5]=>[1,1,0,1,1,0,0,0,1,1,0,0]=>{{1,3,4},{2},{5,6}}=>[3,2,1]
[2,4,1,5,3,6]=>[1,1,0,1,1,0,0,1,0,0,1,0]=>{{1,5},{2},{3,4},{6}}=>[2,2,1,1]
[2,4,1,5,6,3]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>{{1,6},{2},{3,4},{5}}=>[2,2,1,1]
[2,4,1,6,3,5]=>[1,1,0,1,1,0,0,1,1,0,0,0]=>{{1,5,6},{2},{3,4}}=>[3,2,1]
[2,4,1,6,5,3]=>[1,1,0,1,1,0,0,1,1,0,0,0]=>{{1,5,6},{2},{3,4}}=>[3,2,1]
[2,4,3,1,5,6]=>[1,1,0,1,1,0,0,0,1,0,1,0]=>{{1,3,4},{2},{5},{6}}=>[3,1,1,1]
[2,4,3,1,6,5]=>[1,1,0,1,1,0,0,0,1,1,0,0]=>{{1,3,4},{2},{5,6}}=>[3,2,1]
[2,4,3,5,1,6]=>[1,1,0,1,1,0,0,1,0,0,1,0]=>{{1,5},{2},{3,4},{6}}=>[2,2,1,1]
[2,4,3,5,6,1]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>{{1,6},{2},{3,4},{5}}=>[2,2,1,1]
[2,4,3,6,1,5]=>[1,1,0,1,1,0,0,1,1,0,0,0]=>{{1,5,6},{2},{3,4}}=>[3,2,1]
[2,4,3,6,5,1]=>[1,1,0,1,1,0,0,1,1,0,0,0]=>{{1,5,6},{2},{3,4}}=>[3,2,1]
[2,4,5,1,3,6]=>[1,1,0,1,1,0,1,0,0,0,1,0]=>{{1,3,5},{2},{4},{6}}=>[3,1,1,1]
[2,4,5,1,6,3]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>{{1,6},{2},{3,5},{4}}=>[2,2,1,1]
[2,4,5,3,1,6]=>[1,1,0,1,1,0,1,0,0,0,1,0]=>{{1,3,5},{2},{4},{6}}=>[3,1,1,1]
[2,4,5,3,6,1]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>{{1,6},{2},{3,5},{4}}=>[2,2,1,1]
[2,4,5,6,1,3]=>[1,1,0,1,1,0,1,0,1,0,0,0]=>{{1,3,6},{2},{4},{5}}=>[3,1,1,1]
[2,4,5,6,3,1]=>[1,1,0,1,1,0,1,0,1,0,0,0]=>{{1,3,6},{2},{4},{5}}=>[3,1,1,1]
[2,4,6,1,3,5]=>[1,1,0,1,1,0,1,1,0,0,0,0]=>{{1,3,5,6},{2},{4}}=>[4,1,1]
[2,4,6,1,5,3]=>[1,1,0,1,1,0,1,1,0,0,0,0]=>{{1,3,5,6},{2},{4}}=>[4,1,1]
[2,4,6,3,1,5]=>[1,1,0,1,1,0,1,1,0,0,0,0]=>{{1,3,5,6},{2},{4}}=>[4,1,1]
[2,4,6,3,5,1]=>[1,1,0,1,1,0,1,1,0,0,0,0]=>{{1,3,5,6},{2},{4}}=>[4,1,1]
[2,4,6,5,1,3]=>[1,1,0,1,1,0,1,1,0,0,0,0]=>{{1,3,5,6},{2},{4}}=>[4,1,1]
[2,4,6,5,3,1]=>[1,1,0,1,1,0,1,1,0,0,0,0]=>{{1,3,5,6},{2},{4}}=>[4,1,1]
[2,5,1,3,4,6]=>[1,1,0,1,1,1,0,0,0,0,1,0]=>{{1,3,4,5},{2},{6}}=>[4,1,1]
[2,5,1,3,6,4]=>[1,1,0,1,1,1,0,0,0,1,0,0]=>{{1,6},{2},{3,4,5}}=>[3,2,1]
[2,5,1,4,3,6]=>[1,1,0,1,1,1,0,0,0,0,1,0]=>{{1,3,4,5},{2},{6}}=>[4,1,1]
[2,5,1,4,6,3]=>[1,1,0,1,1,1,0,0,0,1,0,0]=>{{1,6},{2},{3,4,5}}=>[3,2,1]
[2,5,1,6,3,4]=>[1,1,0,1,1,1,0,0,1,0,0,0]=>{{1,3,6},{2},{4,5}}=>[3,2,1]
[2,5,1,6,4,3]=>[1,1,0,1,1,1,0,0,1,0,0,0]=>{{1,3,6},{2},{4,5}}=>[3,2,1]
[2,5,3,1,4,6]=>[1,1,0,1,1,1,0,0,0,0,1,0]=>{{1,3,4,5},{2},{6}}=>[4,1,1]
[2,5,3,1,6,4]=>[1,1,0,1,1,1,0,0,0,1,0,0]=>{{1,6},{2},{3,4,5}}=>[3,2,1]
[2,5,3,4,1,6]=>[1,1,0,1,1,1,0,0,0,0,1,0]=>{{1,3,4,5},{2},{6}}=>[4,1,1]
[2,5,3,4,6,1]=>[1,1,0,1,1,1,0,0,0,1,0,0]=>{{1,6},{2},{3,4,5}}=>[3,2,1]
[2,5,3,6,1,4]=>[1,1,0,1,1,1,0,0,1,0,0,0]=>{{1,3,6},{2},{4,5}}=>[3,2,1]
[2,5,3,6,4,1]=>[1,1,0,1,1,1,0,0,1,0,0,0]=>{{1,3,6},{2},{4,5}}=>[3,2,1]
[2,5,4,1,3,6]=>[1,1,0,1,1,1,0,0,0,0,1,0]=>{{1,3,4,5},{2},{6}}=>[4,1,1]
[2,5,4,1,6,3]=>[1,1,0,1,1,1,0,0,0,1,0,0]=>{{1,6},{2},{3,4,5}}=>[3,2,1]
[2,5,4,3,1,6]=>[1,1,0,1,1,1,0,0,0,0,1,0]=>{{1,3,4,5},{2},{6}}=>[4,1,1]
[2,5,4,3,6,1]=>[1,1,0,1,1,1,0,0,0,1,0,0]=>{{1,6},{2},{3,4,5}}=>[3,2,1]
[2,5,4,6,1,3]=>[1,1,0,1,1,1,0,0,1,0,0,0]=>{{1,3,6},{2},{4,5}}=>[3,2,1]
[2,5,4,6,3,1]=>[1,1,0,1,1,1,0,0,1,0,0,0]=>{{1,3,6},{2},{4,5}}=>[3,2,1]
[2,5,6,1,3,4]=>[1,1,0,1,1,1,0,1,0,0,0,0]=>{{1,3,4,6},{2},{5}}=>[4,1,1]
[2,5,6,1,4,3]=>[1,1,0,1,1,1,0,1,0,0,0,0]=>{{1,3,4,6},{2},{5}}=>[4,1,1]
[2,5,6,3,1,4]=>[1,1,0,1,1,1,0,1,0,0,0,0]=>{{1,3,4,6},{2},{5}}=>[4,1,1]
[2,5,6,3,4,1]=>[1,1,0,1,1,1,0,1,0,0,0,0]=>{{1,3,4,6},{2},{5}}=>[4,1,1]
[2,5,6,4,1,3]=>[1,1,0,1,1,1,0,1,0,0,0,0]=>{{1,3,4,6},{2},{5}}=>[4,1,1]
[2,5,6,4,3,1]=>[1,1,0,1,1,1,0,1,0,0,0,0]=>{{1,3,4,6},{2},{5}}=>[4,1,1]
[2,6,1,3,4,5]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>{{1,3,4,5,6},{2}}=>[5,1]
[2,6,1,3,5,4]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>{{1,3,4,5,6},{2}}=>[5,1]
[2,6,1,4,3,5]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>{{1,3,4,5,6},{2}}=>[5,1]
[2,6,1,4,5,3]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>{{1,3,4,5,6},{2}}=>[5,1]
[2,6,1,5,3,4]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>{{1,3,4,5,6},{2}}=>[5,1]
[2,6,1,5,4,3]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>{{1,3,4,5,6},{2}}=>[5,1]
[2,6,3,1,4,5]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>{{1,3,4,5,6},{2}}=>[5,1]
[2,6,3,1,5,4]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>{{1,3,4,5,6},{2}}=>[5,1]
[2,6,3,4,1,5]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>{{1,3,4,5,6},{2}}=>[5,1]
[2,6,3,4,5,1]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>{{1,3,4,5,6},{2}}=>[5,1]
[2,6,3,5,1,4]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>{{1,3,4,5,6},{2}}=>[5,1]
[2,6,3,5,4,1]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>{{1,3,4,5,6},{2}}=>[5,1]
[2,6,4,1,3,5]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>{{1,3,4,5,6},{2}}=>[5,1]
[2,6,4,1,5,3]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>{{1,3,4,5,6},{2}}=>[5,1]
[2,6,4,3,1,5]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>{{1,3,4,5,6},{2}}=>[5,1]
[2,6,4,3,5,1]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>{{1,3,4,5,6},{2}}=>[5,1]
[2,6,4,5,1,3]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>{{1,3,4,5,6},{2}}=>[5,1]
[2,6,4,5,3,1]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>{{1,3,4,5,6},{2}}=>[5,1]
[2,6,5,1,3,4]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>{{1,3,4,5,6},{2}}=>[5,1]
[2,6,5,1,4,3]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>{{1,3,4,5,6},{2}}=>[5,1]
[2,6,5,3,1,4]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>{{1,3,4,5,6},{2}}=>[5,1]
[2,6,5,3,4,1]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>{{1,3,4,5,6},{2}}=>[5,1]
[2,6,5,4,1,3]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>{{1,3,4,5,6},{2}}=>[5,1]
[2,6,5,4,3,1]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>{{1,3,4,5,6},{2}}=>[5,1]
[3,1,2,4,5,6]=>[1,1,1,0,0,0,1,0,1,0,1,0]=>{{1,2,3},{4},{5},{6}}=>[3,1,1,1]
[3,1,2,4,6,5]=>[1,1,1,0,0,0,1,0,1,1,0,0]=>{{1,2,3},{4},{5,6}}=>[3,2,1]
[3,1,2,5,4,6]=>[1,1,1,0,0,0,1,1,0,0,1,0]=>{{1,2,3},{4,5},{6}}=>[3,2,1]
[3,1,2,5,6,4]=>[1,1,1,0,0,0,1,1,0,1,0,0]=>{{1,2,3},{4,6},{5}}=>[3,2,1]
[3,1,2,6,4,5]=>[1,1,1,0,0,0,1,1,1,0,0,0]=>{{1,2,3},{4,5,6}}=>[3,3]
[3,1,2,6,5,4]=>[1,1,1,0,0,0,1,1,1,0,0,0]=>{{1,2,3},{4,5,6}}=>[3,3]
[3,1,4,2,5,6]=>[1,1,1,0,0,1,0,0,1,0,1,0]=>{{1,4},{2,3},{5},{6}}=>[2,2,1,1]
[3,1,4,2,6,5]=>[1,1,1,0,0,1,0,0,1,1,0,0]=>{{1,4},{2,3},{5,6}}=>[2,2,2]
[3,1,4,5,2,6]=>[1,1,1,0,0,1,0,1,0,0,1,0]=>{{1,5},{2,3},{4},{6}}=>[2,2,1,1]
[3,1,4,5,6,2]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>{{1,6},{2,3},{4},{5}}=>[2,2,1,1]
[3,1,4,6,2,5]=>[1,1,1,0,0,1,0,1,1,0,0,0]=>{{1,5,6},{2,3},{4}}=>[3,2,1]
[3,1,4,6,5,2]=>[1,1,1,0,0,1,0,1,1,0,0,0]=>{{1,5,6},{2,3},{4}}=>[3,2,1]
[3,1,5,2,4,6]=>[1,1,1,0,0,1,1,0,0,0,1,0]=>{{1,4,5},{2,3},{6}}=>[3,2,1]
[3,1,5,2,6,4]=>[1,1,1,0,0,1,1,0,0,1,0,0]=>{{1,6},{2,3},{4,5}}=>[2,2,2]
[3,1,5,4,2,6]=>[1,1,1,0,0,1,1,0,0,0,1,0]=>{{1,4,5},{2,3},{6}}=>[3,2,1]
[3,1,5,4,6,2]=>[1,1,1,0,0,1,1,0,0,1,0,0]=>{{1,6},{2,3},{4,5}}=>[2,2,2]
[3,1,5,6,2,4]=>[1,1,1,0,0,1,1,0,1,0,0,0]=>{{1,4,6},{2,3},{5}}=>[3,2,1]
[3,1,5,6,4,2]=>[1,1,1,0,0,1,1,0,1,0,0,0]=>{{1,4,6},{2,3},{5}}=>[3,2,1]
[3,1,6,2,4,5]=>[1,1,1,0,0,1,1,1,0,0,0,0]=>{{1,4,5,6},{2,3}}=>[4,2]
[3,1,6,2,5,4]=>[1,1,1,0,0,1,1,1,0,0,0,0]=>{{1,4,5,6},{2,3}}=>[4,2]
[3,1,6,4,2,5]=>[1,1,1,0,0,1,1,1,0,0,0,0]=>{{1,4,5,6},{2,3}}=>[4,2]
[3,1,6,4,5,2]=>[1,1,1,0,0,1,1,1,0,0,0,0]=>{{1,4,5,6},{2,3}}=>[4,2]
[3,1,6,5,2,4]=>[1,1,1,0,0,1,1,1,0,0,0,0]=>{{1,4,5,6},{2,3}}=>[4,2]
[3,1,6,5,4,2]=>[1,1,1,0,0,1,1,1,0,0,0,0]=>{{1,4,5,6},{2,3}}=>[4,2]
[3,2,1,4,5,6]=>[1,1,1,0,0,0,1,0,1,0,1,0]=>{{1,2,3},{4},{5},{6}}=>[3,1,1,1]
[3,2,1,4,6,5]=>[1,1,1,0,0,0,1,0,1,1,0,0]=>{{1,2,3},{4},{5,6}}=>[3,2,1]
[3,2,1,5,4,6]=>[1,1,1,0,0,0,1,1,0,0,1,0]=>{{1,2,3},{4,5},{6}}=>[3,2,1]
[3,2,1,5,6,4]=>[1,1,1,0,0,0,1,1,0,1,0,0]=>{{1,2,3},{4,6},{5}}=>[3,2,1]
[3,2,1,6,4,5]=>[1,1,1,0,0,0,1,1,1,0,0,0]=>{{1,2,3},{4,5,6}}=>[3,3]
[3,2,1,6,5,4]=>[1,1,1,0,0,0,1,1,1,0,0,0]=>{{1,2,3},{4,5,6}}=>[3,3]
[3,2,4,1,5,6]=>[1,1,1,0,0,1,0,0,1,0,1,0]=>{{1,4},{2,3},{5},{6}}=>[2,2,1,1]
[3,2,4,1,6,5]=>[1,1,1,0,0,1,0,0,1,1,0,0]=>{{1,4},{2,3},{5,6}}=>[2,2,2]
[3,2,4,5,1,6]=>[1,1,1,0,0,1,0,1,0,0,1,0]=>{{1,5},{2,3},{4},{6}}=>[2,2,1,1]
[3,2,4,5,6,1]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>{{1,6},{2,3},{4},{5}}=>[2,2,1,1]
[3,2,4,6,1,5]=>[1,1,1,0,0,1,0,1,1,0,0,0]=>{{1,5,6},{2,3},{4}}=>[3,2,1]
[3,2,4,6,5,1]=>[1,1,1,0,0,1,0,1,1,0,0,0]=>{{1,5,6},{2,3},{4}}=>[3,2,1]
[3,2,5,1,4,6]=>[1,1,1,0,0,1,1,0,0,0,1,0]=>{{1,4,5},{2,3},{6}}=>[3,2,1]
[3,2,5,1,6,4]=>[1,1,1,0,0,1,1,0,0,1,0,0]=>{{1,6},{2,3},{4,5}}=>[2,2,2]
[3,2,5,4,1,6]=>[1,1,1,0,0,1,1,0,0,0,1,0]=>{{1,4,5},{2,3},{6}}=>[3,2,1]
[3,2,5,4,6,1]=>[1,1,1,0,0,1,1,0,0,1,0,0]=>{{1,6},{2,3},{4,5}}=>[2,2,2]
[3,2,5,6,1,4]=>[1,1,1,0,0,1,1,0,1,0,0,0]=>{{1,4,6},{2,3},{5}}=>[3,2,1]
[3,2,5,6,4,1]=>[1,1,1,0,0,1,1,0,1,0,0,0]=>{{1,4,6},{2,3},{5}}=>[3,2,1]
[3,2,6,1,4,5]=>[1,1,1,0,0,1,1,1,0,0,0,0]=>{{1,4,5,6},{2,3}}=>[4,2]
[3,2,6,1,5,4]=>[1,1,1,0,0,1,1,1,0,0,0,0]=>{{1,4,5,6},{2,3}}=>[4,2]
[3,2,6,4,1,5]=>[1,1,1,0,0,1,1,1,0,0,0,0]=>{{1,4,5,6},{2,3}}=>[4,2]
[3,2,6,4,5,1]=>[1,1,1,0,0,1,1,1,0,0,0,0]=>{{1,4,5,6},{2,3}}=>[4,2]
[3,2,6,5,1,4]=>[1,1,1,0,0,1,1,1,0,0,0,0]=>{{1,4,5,6},{2,3}}=>[4,2]
[3,2,6,5,4,1]=>[1,1,1,0,0,1,1,1,0,0,0,0]=>{{1,4,5,6},{2,3}}=>[4,2]
[3,4,1,2,5,6]=>[1,1,1,0,1,0,0,0,1,0,1,0]=>{{1,2,4},{3},{5},{6}}=>[3,1,1,1]
[3,4,1,2,6,5]=>[1,1,1,0,1,0,0,0,1,1,0,0]=>{{1,2,4},{3},{5,6}}=>[3,2,1]
[3,4,1,5,2,6]=>[1,1,1,0,1,0,0,1,0,0,1,0]=>{{1,5},{2,4},{3},{6}}=>[2,2,1,1]
[3,4,1,5,6,2]=>[1,1,1,0,1,0,0,1,0,1,0,0]=>{{1,6},{2,4},{3},{5}}=>[2,2,1,1]
[3,4,1,6,2,5]=>[1,1,1,0,1,0,0,1,1,0,0,0]=>{{1,5,6},{2,4},{3}}=>[3,2,1]
[3,4,1,6,5,2]=>[1,1,1,0,1,0,0,1,1,0,0,0]=>{{1,5,6},{2,4},{3}}=>[3,2,1]
[3,4,2,1,5,6]=>[1,1,1,0,1,0,0,0,1,0,1,0]=>{{1,2,4},{3},{5},{6}}=>[3,1,1,1]
[3,4,2,1,6,5]=>[1,1,1,0,1,0,0,0,1,1,0,0]=>{{1,2,4},{3},{5,6}}=>[3,2,1]
[3,4,2,5,1,6]=>[1,1,1,0,1,0,0,1,0,0,1,0]=>{{1,5},{2,4},{3},{6}}=>[2,2,1,1]
[3,4,2,5,6,1]=>[1,1,1,0,1,0,0,1,0,1,0,0]=>{{1,6},{2,4},{3},{5}}=>[2,2,1,1]
[3,4,2,6,1,5]=>[1,1,1,0,1,0,0,1,1,0,0,0]=>{{1,5,6},{2,4},{3}}=>[3,2,1]
[3,4,2,6,5,1]=>[1,1,1,0,1,0,0,1,1,0,0,0]=>{{1,5,6},{2,4},{3}}=>[3,2,1]
[3,4,5,1,2,6]=>[1,1,1,0,1,0,1,0,0,0,1,0]=>{{1,2,5},{3},{4},{6}}=>[3,1,1,1]
[3,4,5,1,6,2]=>[1,1,1,0,1,0,1,0,0,1,0,0]=>{{1,6},{2,5},{3},{4}}=>[2,2,1,1]
[3,4,5,2,1,6]=>[1,1,1,0,1,0,1,0,0,0,1,0]=>{{1,2,5},{3},{4},{6}}=>[3,1,1,1]
[3,4,5,2,6,1]=>[1,1,1,0,1,0,1,0,0,1,0,0]=>{{1,6},{2,5},{3},{4}}=>[2,2,1,1]
[3,4,5,6,1,2]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>{{1,2,6},{3},{4},{5}}=>[3,1,1,1]
[3,4,5,6,2,1]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>{{1,2,6},{3},{4},{5}}=>[3,1,1,1]
[3,4,6,1,2,5]=>[1,1,1,0,1,0,1,1,0,0,0,0]=>{{1,2,5,6},{3},{4}}=>[4,1,1]
[3,4,6,1,5,2]=>[1,1,1,0,1,0,1,1,0,0,0,0]=>{{1,2,5,6},{3},{4}}=>[4,1,1]
[3,4,6,2,1,5]=>[1,1,1,0,1,0,1,1,0,0,0,0]=>{{1,2,5,6},{3},{4}}=>[4,1,1]
[3,4,6,2,5,1]=>[1,1,1,0,1,0,1,1,0,0,0,0]=>{{1,2,5,6},{3},{4}}=>[4,1,1]
[3,4,6,5,1,2]=>[1,1,1,0,1,0,1,1,0,0,0,0]=>{{1,2,5,6},{3},{4}}=>[4,1,1]
[3,4,6,5,2,1]=>[1,1,1,0,1,0,1,1,0,0,0,0]=>{{1,2,5,6},{3},{4}}=>[4,1,1]
[3,5,1,2,4,6]=>[1,1,1,0,1,1,0,0,0,0,1,0]=>{{1,2,4,5},{3},{6}}=>[4,1,1]
[3,5,1,2,6,4]=>[1,1,1,0,1,1,0,0,0,1,0,0]=>{{1,6},{2,4,5},{3}}=>[3,2,1]
[3,5,1,4,2,6]=>[1,1,1,0,1,1,0,0,0,0,1,0]=>{{1,2,4,5},{3},{6}}=>[4,1,1]
[3,5,1,4,6,2]=>[1,1,1,0,1,1,0,0,0,1,0,0]=>{{1,6},{2,4,5},{3}}=>[3,2,1]
[3,5,1,6,2,4]=>[1,1,1,0,1,1,0,0,1,0,0,0]=>{{1,2,6},{3},{4,5}}=>[3,2,1]
[3,5,1,6,4,2]=>[1,1,1,0,1,1,0,0,1,0,0,0]=>{{1,2,6},{3},{4,5}}=>[3,2,1]
[3,5,2,1,4,6]=>[1,1,1,0,1,1,0,0,0,0,1,0]=>{{1,2,4,5},{3},{6}}=>[4,1,1]
[3,5,2,1,6,4]=>[1,1,1,0,1,1,0,0,0,1,0,0]=>{{1,6},{2,4,5},{3}}=>[3,2,1]
[3,5,2,4,1,6]=>[1,1,1,0,1,1,0,0,0,0,1,0]=>{{1,2,4,5},{3},{6}}=>[4,1,1]
[3,5,2,4,6,1]=>[1,1,1,0,1,1,0,0,0,1,0,0]=>{{1,6},{2,4,5},{3}}=>[3,2,1]
[3,5,2,6,1,4]=>[1,1,1,0,1,1,0,0,1,0,0,0]=>{{1,2,6},{3},{4,5}}=>[3,2,1]
[3,5,2,6,4,1]=>[1,1,1,0,1,1,0,0,1,0,0,0]=>{{1,2,6},{3},{4,5}}=>[3,2,1]
[3,5,4,1,2,6]=>[1,1,1,0,1,1,0,0,0,0,1,0]=>{{1,2,4,5},{3},{6}}=>[4,1,1]
[3,5,4,1,6,2]=>[1,1,1,0,1,1,0,0,0,1,0,0]=>{{1,6},{2,4,5},{3}}=>[3,2,1]
[3,5,4,2,1,6]=>[1,1,1,0,1,1,0,0,0,0,1,0]=>{{1,2,4,5},{3},{6}}=>[4,1,1]
[3,5,4,2,6,1]=>[1,1,1,0,1,1,0,0,0,1,0,0]=>{{1,6},{2,4,5},{3}}=>[3,2,1]
[3,5,4,6,1,2]=>[1,1,1,0,1,1,0,0,1,0,0,0]=>{{1,2,6},{3},{4,5}}=>[3,2,1]
[3,5,4,6,2,1]=>[1,1,1,0,1,1,0,0,1,0,0,0]=>{{1,2,6},{3},{4,5}}=>[3,2,1]
[3,5,6,1,2,4]=>[1,1,1,0,1,1,0,1,0,0,0,0]=>{{1,2,4,6},{3},{5}}=>[4,1,1]
[3,5,6,1,4,2]=>[1,1,1,0,1,1,0,1,0,0,0,0]=>{{1,2,4,6},{3},{5}}=>[4,1,1]
[3,5,6,2,1,4]=>[1,1,1,0,1,1,0,1,0,0,0,0]=>{{1,2,4,6},{3},{5}}=>[4,1,1]
[3,5,6,2,4,1]=>[1,1,1,0,1,1,0,1,0,0,0,0]=>{{1,2,4,6},{3},{5}}=>[4,1,1]
[3,5,6,4,1,2]=>[1,1,1,0,1,1,0,1,0,0,0,0]=>{{1,2,4,6},{3},{5}}=>[4,1,1]
[3,5,6,4,2,1]=>[1,1,1,0,1,1,0,1,0,0,0,0]=>{{1,2,4,6},{3},{5}}=>[4,1,1]
[3,6,1,2,4,5]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>{{1,2,4,5,6},{3}}=>[5,1]
[3,6,1,2,5,4]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>{{1,2,4,5,6},{3}}=>[5,1]
[3,6,1,4,2,5]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>{{1,2,4,5,6},{3}}=>[5,1]
[3,6,1,4,5,2]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>{{1,2,4,5,6},{3}}=>[5,1]
[3,6,1,5,2,4]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>{{1,2,4,5,6},{3}}=>[5,1]
[3,6,1,5,4,2]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>{{1,2,4,5,6},{3}}=>[5,1]
[3,6,2,1,4,5]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>{{1,2,4,5,6},{3}}=>[5,1]
[3,6,2,1,5,4]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>{{1,2,4,5,6},{3}}=>[5,1]
[3,6,2,4,1,5]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>{{1,2,4,5,6},{3}}=>[5,1]
[3,6,2,4,5,1]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>{{1,2,4,5,6},{3}}=>[5,1]
[3,6,2,5,1,4]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>{{1,2,4,5,6},{3}}=>[5,1]
[3,6,2,5,4,1]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>{{1,2,4,5,6},{3}}=>[5,1]
[3,6,4,1,2,5]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>{{1,2,4,5,6},{3}}=>[5,1]
[3,6,4,1,5,2]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>{{1,2,4,5,6},{3}}=>[5,1]
[3,6,4,2,1,5]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>{{1,2,4,5,6},{3}}=>[5,1]
[3,6,4,2,5,1]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>{{1,2,4,5,6},{3}}=>[5,1]
[3,6,4,5,1,2]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>{{1,2,4,5,6},{3}}=>[5,1]
[3,6,4,5,2,1]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>{{1,2,4,5,6},{3}}=>[5,1]
[3,6,5,1,2,4]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>{{1,2,4,5,6},{3}}=>[5,1]
[3,6,5,1,4,2]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>{{1,2,4,5,6},{3}}=>[5,1]
[3,6,5,2,1,4]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>{{1,2,4,5,6},{3}}=>[5,1]
[3,6,5,2,4,1]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>{{1,2,4,5,6},{3}}=>[5,1]
[3,6,5,4,1,2]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>{{1,2,4,5,6},{3}}=>[5,1]
[3,6,5,4,2,1]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>{{1,2,4,5,6},{3}}=>[5,1]
[4,1,2,3,5,6]=>[1,1,1,1,0,0,0,0,1,0,1,0]=>{{1,2,3,4},{5},{6}}=>[4,1,1]
[4,1,2,3,6,5]=>[1,1,1,1,0,0,0,0,1,1,0,0]=>{{1,2,3,4},{5,6}}=>[4,2]
[4,1,2,5,3,6]=>[1,1,1,1,0,0,0,1,0,0,1,0]=>{{1,5},{2,3,4},{6}}=>[3,2,1]
[4,1,2,5,6,3]=>[1,1,1,1,0,0,0,1,0,1,0,0]=>{{1,6},{2,3,4},{5}}=>[3,2,1]
[4,1,2,6,3,5]=>[1,1,1,1,0,0,0,1,1,0,0,0]=>{{1,5,6},{2,3,4}}=>[3,3]
[4,1,2,6,5,3]=>[1,1,1,1,0,0,0,1,1,0,0,0]=>{{1,5,6},{2,3,4}}=>[3,3]
[4,1,3,2,5,6]=>[1,1,1,1,0,0,0,0,1,0,1,0]=>{{1,2,3,4},{5},{6}}=>[4,1,1]
[4,1,3,2,6,5]=>[1,1,1,1,0,0,0,0,1,1,0,0]=>{{1,2,3,4},{5,6}}=>[4,2]
[4,1,3,5,2,6]=>[1,1,1,1,0,0,0,1,0,0,1,0]=>{{1,5},{2,3,4},{6}}=>[3,2,1]
[4,1,3,5,6,2]=>[1,1,1,1,0,0,0,1,0,1,0,0]=>{{1,6},{2,3,4},{5}}=>[3,2,1]
[4,1,3,6,2,5]=>[1,1,1,1,0,0,0,1,1,0,0,0]=>{{1,5,6},{2,3,4}}=>[3,3]
[4,1,3,6,5,2]=>[1,1,1,1,0,0,0,1,1,0,0,0]=>{{1,5,6},{2,3,4}}=>[3,3]
[4,1,5,2,3,6]=>[1,1,1,1,0,0,1,0,0,0,1,0]=>{{1,2,5},{3,4},{6}}=>[3,2,1]
[4,1,5,2,6,3]=>[1,1,1,1,0,0,1,0,0,1,0,0]=>{{1,6},{2,5},{3,4}}=>[2,2,2]
[4,1,5,3,2,6]=>[1,1,1,1,0,0,1,0,0,0,1,0]=>{{1,2,5},{3,4},{6}}=>[3,2,1]
[4,1,5,3,6,2]=>[1,1,1,1,0,0,1,0,0,1,0,0]=>{{1,6},{2,5},{3,4}}=>[2,2,2]
[4,1,5,6,2,3]=>[1,1,1,1,0,0,1,0,1,0,0,0]=>{{1,2,6},{3,4},{5}}=>[3,2,1]
[4,1,5,6,3,2]=>[1,1,1,1,0,0,1,0,1,0,0,0]=>{{1,2,6},{3,4},{5}}=>[3,2,1]
[4,1,6,2,3,5]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>{{1,2,5,6},{3,4}}=>[4,2]
[4,1,6,2,5,3]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>{{1,2,5,6},{3,4}}=>[4,2]
[4,1,6,3,2,5]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>{{1,2,5,6},{3,4}}=>[4,2]
[4,1,6,3,5,2]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>{{1,2,5,6},{3,4}}=>[4,2]
[4,1,6,5,2,3]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>{{1,2,5,6},{3,4}}=>[4,2]
[4,1,6,5,3,2]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>{{1,2,5,6},{3,4}}=>[4,2]
[4,2,1,3,5,6]=>[1,1,1,1,0,0,0,0,1,0,1,0]=>{{1,2,3,4},{5},{6}}=>[4,1,1]
[4,2,1,3,6,5]=>[1,1,1,1,0,0,0,0,1,1,0,0]=>{{1,2,3,4},{5,6}}=>[4,2]
[4,2,1,5,3,6]=>[1,1,1,1,0,0,0,1,0,0,1,0]=>{{1,5},{2,3,4},{6}}=>[3,2,1]
[4,2,1,5,6,3]=>[1,1,1,1,0,0,0,1,0,1,0,0]=>{{1,6},{2,3,4},{5}}=>[3,2,1]
[4,2,1,6,3,5]=>[1,1,1,1,0,0,0,1,1,0,0,0]=>{{1,5,6},{2,3,4}}=>[3,3]
[4,2,1,6,5,3]=>[1,1,1,1,0,0,0,1,1,0,0,0]=>{{1,5,6},{2,3,4}}=>[3,3]
[4,2,3,1,5,6]=>[1,1,1,1,0,0,0,0,1,0,1,0]=>{{1,2,3,4},{5},{6}}=>[4,1,1]
[4,2,3,1,6,5]=>[1,1,1,1,0,0,0,0,1,1,0,0]=>{{1,2,3,4},{5,6}}=>[4,2]
[4,2,3,5,1,6]=>[1,1,1,1,0,0,0,1,0,0,1,0]=>{{1,5},{2,3,4},{6}}=>[3,2,1]
[4,2,3,5,6,1]=>[1,1,1,1,0,0,0,1,0,1,0,0]=>{{1,6},{2,3,4},{5}}=>[3,2,1]
[4,2,3,6,1,5]=>[1,1,1,1,0,0,0,1,1,0,0,0]=>{{1,5,6},{2,3,4}}=>[3,3]
[4,2,3,6,5,1]=>[1,1,1,1,0,0,0,1,1,0,0,0]=>{{1,5,6},{2,3,4}}=>[3,3]
[4,2,5,1,3,6]=>[1,1,1,1,0,0,1,0,0,0,1,0]=>{{1,2,5},{3,4},{6}}=>[3,2,1]
[4,2,5,1,6,3]=>[1,1,1,1,0,0,1,0,0,1,0,0]=>{{1,6},{2,5},{3,4}}=>[2,2,2]
[4,2,5,3,1,6]=>[1,1,1,1,0,0,1,0,0,0,1,0]=>{{1,2,5},{3,4},{6}}=>[3,2,1]
[4,2,5,3,6,1]=>[1,1,1,1,0,0,1,0,0,1,0,0]=>{{1,6},{2,5},{3,4}}=>[2,2,2]
[4,2,5,6,1,3]=>[1,1,1,1,0,0,1,0,1,0,0,0]=>{{1,2,6},{3,4},{5}}=>[3,2,1]
[4,2,5,6,3,1]=>[1,1,1,1,0,0,1,0,1,0,0,0]=>{{1,2,6},{3,4},{5}}=>[3,2,1]
[4,2,6,1,3,5]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>{{1,2,5,6},{3,4}}=>[4,2]
[4,2,6,1,5,3]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>{{1,2,5,6},{3,4}}=>[4,2]
[4,2,6,3,1,5]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>{{1,2,5,6},{3,4}}=>[4,2]
[4,2,6,3,5,1]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>{{1,2,5,6},{3,4}}=>[4,2]
[4,2,6,5,1,3]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>{{1,2,5,6},{3,4}}=>[4,2]
[4,2,6,5,3,1]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>{{1,2,5,6},{3,4}}=>[4,2]
[4,3,1,2,5,6]=>[1,1,1,1,0,0,0,0,1,0,1,0]=>{{1,2,3,4},{5},{6}}=>[4,1,1]
[4,3,1,2,6,5]=>[1,1,1,1,0,0,0,0,1,1,0,0]=>{{1,2,3,4},{5,6}}=>[4,2]
[4,3,1,5,2,6]=>[1,1,1,1,0,0,0,1,0,0,1,0]=>{{1,5},{2,3,4},{6}}=>[3,2,1]
[4,3,1,5,6,2]=>[1,1,1,1,0,0,0,1,0,1,0,0]=>{{1,6},{2,3,4},{5}}=>[3,2,1]
[4,3,1,6,2,5]=>[1,1,1,1,0,0,0,1,1,0,0,0]=>{{1,5,6},{2,3,4}}=>[3,3]
[4,3,1,6,5,2]=>[1,1,1,1,0,0,0,1,1,0,0,0]=>{{1,5,6},{2,3,4}}=>[3,3]
[4,3,2,1,5,6]=>[1,1,1,1,0,0,0,0,1,0,1,0]=>{{1,2,3,4},{5},{6}}=>[4,1,1]
[4,3,2,1,6,5]=>[1,1,1,1,0,0,0,0,1,1,0,0]=>{{1,2,3,4},{5,6}}=>[4,2]
[4,3,2,5,1,6]=>[1,1,1,1,0,0,0,1,0,0,1,0]=>{{1,5},{2,3,4},{6}}=>[3,2,1]
[4,3,2,5,6,1]=>[1,1,1,1,0,0,0,1,0,1,0,0]=>{{1,6},{2,3,4},{5}}=>[3,2,1]
[4,3,2,6,1,5]=>[1,1,1,1,0,0,0,1,1,0,0,0]=>{{1,5,6},{2,3,4}}=>[3,3]
[4,3,2,6,5,1]=>[1,1,1,1,0,0,0,1,1,0,0,0]=>{{1,5,6},{2,3,4}}=>[3,3]
[4,3,5,1,2,6]=>[1,1,1,1,0,0,1,0,0,0,1,0]=>{{1,2,5},{3,4},{6}}=>[3,2,1]
[4,3,5,1,6,2]=>[1,1,1,1,0,0,1,0,0,1,0,0]=>{{1,6},{2,5},{3,4}}=>[2,2,2]
[4,3,5,2,1,6]=>[1,1,1,1,0,0,1,0,0,0,1,0]=>{{1,2,5},{3,4},{6}}=>[3,2,1]
[4,3,5,2,6,1]=>[1,1,1,1,0,0,1,0,0,1,0,0]=>{{1,6},{2,5},{3,4}}=>[2,2,2]
[4,3,5,6,1,2]=>[1,1,1,1,0,0,1,0,1,0,0,0]=>{{1,2,6},{3,4},{5}}=>[3,2,1]
[4,3,5,6,2,1]=>[1,1,1,1,0,0,1,0,1,0,0,0]=>{{1,2,6},{3,4},{5}}=>[3,2,1]
[4,3,6,1,2,5]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>{{1,2,5,6},{3,4}}=>[4,2]
[4,3,6,1,5,2]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>{{1,2,5,6},{3,4}}=>[4,2]
[4,3,6,2,1,5]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>{{1,2,5,6},{3,4}}=>[4,2]
[4,3,6,2,5,1]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>{{1,2,5,6},{3,4}}=>[4,2]
[4,3,6,5,1,2]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>{{1,2,5,6},{3,4}}=>[4,2]
[4,3,6,5,2,1]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>{{1,2,5,6},{3,4}}=>[4,2]
[4,5,1,2,3,6]=>[1,1,1,1,0,1,0,0,0,0,1,0]=>{{1,2,3,5},{4},{6}}=>[4,1,1]
[4,5,1,2,6,3]=>[1,1,1,1,0,1,0,0,0,1,0,0]=>{{1,6},{2,3,5},{4}}=>[3,2,1]
[4,5,1,3,2,6]=>[1,1,1,1,0,1,0,0,0,0,1,0]=>{{1,2,3,5},{4},{6}}=>[4,1,1]
[4,5,1,3,6,2]=>[1,1,1,1,0,1,0,0,0,1,0,0]=>{{1,6},{2,3,5},{4}}=>[3,2,1]
[4,5,1,6,2,3]=>[1,1,1,1,0,1,0,0,1,0,0,0]=>{{1,2,6},{3,5},{4}}=>[3,2,1]
[4,5,1,6,3,2]=>[1,1,1,1,0,1,0,0,1,0,0,0]=>{{1,2,6},{3,5},{4}}=>[3,2,1]
[4,5,2,1,3,6]=>[1,1,1,1,0,1,0,0,0,0,1,0]=>{{1,2,3,5},{4},{6}}=>[4,1,1]
[4,5,2,1,6,3]=>[1,1,1,1,0,1,0,0,0,1,0,0]=>{{1,6},{2,3,5},{4}}=>[3,2,1]
[4,5,2,3,1,6]=>[1,1,1,1,0,1,0,0,0,0,1,0]=>{{1,2,3,5},{4},{6}}=>[4,1,1]
[4,5,2,3,6,1]=>[1,1,1,1,0,1,0,0,0,1,0,0]=>{{1,6},{2,3,5},{4}}=>[3,2,1]
[4,5,2,6,1,3]=>[1,1,1,1,0,1,0,0,1,0,0,0]=>{{1,2,6},{3,5},{4}}=>[3,2,1]
[4,5,2,6,3,1]=>[1,1,1,1,0,1,0,0,1,0,0,0]=>{{1,2,6},{3,5},{4}}=>[3,2,1]
[4,5,3,1,2,6]=>[1,1,1,1,0,1,0,0,0,0,1,0]=>{{1,2,3,5},{4},{6}}=>[4,1,1]
[4,5,3,1,6,2]=>[1,1,1,1,0,1,0,0,0,1,0,0]=>{{1,6},{2,3,5},{4}}=>[3,2,1]
[4,5,3,2,1,6]=>[1,1,1,1,0,1,0,0,0,0,1,0]=>{{1,2,3,5},{4},{6}}=>[4,1,1]
[4,5,3,2,6,1]=>[1,1,1,1,0,1,0,0,0,1,0,0]=>{{1,6},{2,3,5},{4}}=>[3,2,1]
[4,5,3,6,1,2]=>[1,1,1,1,0,1,0,0,1,0,0,0]=>{{1,2,6},{3,5},{4}}=>[3,2,1]
[4,5,3,6,2,1]=>[1,1,1,1,0,1,0,0,1,0,0,0]=>{{1,2,6},{3,5},{4}}=>[3,2,1]
[4,5,6,1,2,3]=>[1,1,1,1,0,1,0,1,0,0,0,0]=>{{1,2,3,6},{4},{5}}=>[4,1,1]
[4,5,6,1,3,2]=>[1,1,1,1,0,1,0,1,0,0,0,0]=>{{1,2,3,6},{4},{5}}=>[4,1,1]
[4,5,6,2,1,3]=>[1,1,1,1,0,1,0,1,0,0,0,0]=>{{1,2,3,6},{4},{5}}=>[4,1,1]
[4,5,6,2,3,1]=>[1,1,1,1,0,1,0,1,0,0,0,0]=>{{1,2,3,6},{4},{5}}=>[4,1,1]
[4,5,6,3,1,2]=>[1,1,1,1,0,1,0,1,0,0,0,0]=>{{1,2,3,6},{4},{5}}=>[4,1,1]
[4,5,6,3,2,1]=>[1,1,1,1,0,1,0,1,0,0,0,0]=>{{1,2,3,6},{4},{5}}=>[4,1,1]
[4,6,1,2,3,5]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>{{1,2,3,5,6},{4}}=>[5,1]
[4,6,1,2,5,3]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>{{1,2,3,5,6},{4}}=>[5,1]
[4,6,1,3,2,5]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>{{1,2,3,5,6},{4}}=>[5,1]
[4,6,1,3,5,2]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>{{1,2,3,5,6},{4}}=>[5,1]
[4,6,1,5,2,3]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>{{1,2,3,5,6},{4}}=>[5,1]
[4,6,1,5,3,2]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>{{1,2,3,5,6},{4}}=>[5,1]
[4,6,2,1,3,5]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>{{1,2,3,5,6},{4}}=>[5,1]
[4,6,2,1,5,3]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>{{1,2,3,5,6},{4}}=>[5,1]
[4,6,2,3,1,5]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>{{1,2,3,5,6},{4}}=>[5,1]
[4,6,2,3,5,1]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>{{1,2,3,5,6},{4}}=>[5,1]
[4,6,2,5,1,3]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>{{1,2,3,5,6},{4}}=>[5,1]
[4,6,2,5,3,1]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>{{1,2,3,5,6},{4}}=>[5,1]
[4,6,3,1,2,5]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>{{1,2,3,5,6},{4}}=>[5,1]
[4,6,3,1,5,2]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>{{1,2,3,5,6},{4}}=>[5,1]
[4,6,3,2,1,5]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>{{1,2,3,5,6},{4}}=>[5,1]
[4,6,3,2,5,1]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>{{1,2,3,5,6},{4}}=>[5,1]
[4,6,3,5,1,2]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>{{1,2,3,5,6},{4}}=>[5,1]
[4,6,3,5,2,1]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>{{1,2,3,5,6},{4}}=>[5,1]
[4,6,5,1,2,3]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>{{1,2,3,5,6},{4}}=>[5,1]
[4,6,5,1,3,2]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>{{1,2,3,5,6},{4}}=>[5,1]
[4,6,5,2,1,3]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>{{1,2,3,5,6},{4}}=>[5,1]
[4,6,5,2,3,1]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>{{1,2,3,5,6},{4}}=>[5,1]
[4,6,5,3,1,2]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>{{1,2,3,5,6},{4}}=>[5,1]
[4,6,5,3,2,1]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>{{1,2,3,5,6},{4}}=>[5,1]
[5,1,2,3,4,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>{{1,2,3,4,5},{6}}=>[5,1]
[5,1,2,3,6,4]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>{{1,6},{2,3,4,5}}=>[4,2]
[5,1,2,4,3,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>{{1,2,3,4,5},{6}}=>[5,1]
[5,1,2,4,6,3]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>{{1,6},{2,3,4,5}}=>[4,2]
[5,1,2,6,3,4]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>{{1,2,6},{3,4,5}}=>[3,3]
[5,1,2,6,4,3]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>{{1,2,6},{3,4,5}}=>[3,3]
[5,1,3,2,4,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>{{1,2,3,4,5},{6}}=>[5,1]
[5,1,3,2,6,4]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>{{1,6},{2,3,4,5}}=>[4,2]
[5,1,3,4,2,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>{{1,2,3,4,5},{6}}=>[5,1]
[5,1,3,4,6,2]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>{{1,6},{2,3,4,5}}=>[4,2]
[5,1,3,6,2,4]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>{{1,2,6},{3,4,5}}=>[3,3]
[5,1,3,6,4,2]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>{{1,2,6},{3,4,5}}=>[3,3]
[5,1,4,2,3,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>{{1,2,3,4,5},{6}}=>[5,1]
[5,1,4,2,6,3]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>{{1,6},{2,3,4,5}}=>[4,2]
[5,1,4,3,2,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>{{1,2,3,4,5},{6}}=>[5,1]
[5,1,4,3,6,2]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>{{1,6},{2,3,4,5}}=>[4,2]
[5,1,4,6,2,3]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>{{1,2,6},{3,4,5}}=>[3,3]
[5,1,4,6,3,2]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>{{1,2,6},{3,4,5}}=>[3,3]
[5,1,6,2,3,4]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>{{1,2,3,6},{4,5}}=>[4,2]
[5,1,6,2,4,3]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>{{1,2,3,6},{4,5}}=>[4,2]
[5,1,6,3,2,4]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>{{1,2,3,6},{4,5}}=>[4,2]
[5,1,6,3,4,2]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>{{1,2,3,6},{4,5}}=>[4,2]
[5,1,6,4,2,3]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>{{1,2,3,6},{4,5}}=>[4,2]
[5,1,6,4,3,2]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>{{1,2,3,6},{4,5}}=>[4,2]
[5,2,1,3,4,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>{{1,2,3,4,5},{6}}=>[5,1]
[5,2,1,3,6,4]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>{{1,6},{2,3,4,5}}=>[4,2]
[5,2,1,4,3,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>{{1,2,3,4,5},{6}}=>[5,1]
[5,2,1,4,6,3]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>{{1,6},{2,3,4,5}}=>[4,2]
[5,2,1,6,3,4]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>{{1,2,6},{3,4,5}}=>[3,3]
[5,2,1,6,4,3]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>{{1,2,6},{3,4,5}}=>[3,3]
[5,2,3,1,4,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>{{1,2,3,4,5},{6}}=>[5,1]
[5,2,3,1,6,4]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>{{1,6},{2,3,4,5}}=>[4,2]
[5,2,3,4,1,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>{{1,2,3,4,5},{6}}=>[5,1]
[5,2,3,4,6,1]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>{{1,6},{2,3,4,5}}=>[4,2]
[5,2,3,6,1,4]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>{{1,2,6},{3,4,5}}=>[3,3]
[5,2,3,6,4,1]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>{{1,2,6},{3,4,5}}=>[3,3]
[5,2,4,1,3,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>{{1,2,3,4,5},{6}}=>[5,1]
[5,2,4,1,6,3]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>{{1,6},{2,3,4,5}}=>[4,2]
[5,2,4,3,1,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>{{1,2,3,4,5},{6}}=>[5,1]
[5,2,4,3,6,1]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>{{1,6},{2,3,4,5}}=>[4,2]
[5,2,4,6,1,3]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>{{1,2,6},{3,4,5}}=>[3,3]
[5,2,4,6,3,1]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>{{1,2,6},{3,4,5}}=>[3,3]
[5,2,6,1,3,4]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>{{1,2,3,6},{4,5}}=>[4,2]
[5,2,6,1,4,3]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>{{1,2,3,6},{4,5}}=>[4,2]
[5,2,6,3,1,4]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>{{1,2,3,6},{4,5}}=>[4,2]
[5,2,6,3,4,1]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>{{1,2,3,6},{4,5}}=>[4,2]
[5,2,6,4,1,3]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>{{1,2,3,6},{4,5}}=>[4,2]
[5,2,6,4,3,1]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>{{1,2,3,6},{4,5}}=>[4,2]
[5,3,1,2,4,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>{{1,2,3,4,5},{6}}=>[5,1]
[5,3,1,2,6,4]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>{{1,6},{2,3,4,5}}=>[4,2]
[5,3,1,4,2,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>{{1,2,3,4,5},{6}}=>[5,1]
[5,3,1,4,6,2]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>{{1,6},{2,3,4,5}}=>[4,2]
[5,3,1,6,2,4]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>{{1,2,6},{3,4,5}}=>[3,3]
[5,3,1,6,4,2]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>{{1,2,6},{3,4,5}}=>[3,3]
[5,3,2,1,4,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>{{1,2,3,4,5},{6}}=>[5,1]
[5,3,2,1,6,4]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>{{1,6},{2,3,4,5}}=>[4,2]
[5,3,2,4,1,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>{{1,2,3,4,5},{6}}=>[5,1]
[5,3,2,4,6,1]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>{{1,6},{2,3,4,5}}=>[4,2]
[5,3,2,6,1,4]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>{{1,2,6},{3,4,5}}=>[3,3]
[5,3,2,6,4,1]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>{{1,2,6},{3,4,5}}=>[3,3]
[5,3,4,1,2,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>{{1,2,3,4,5},{6}}=>[5,1]
[5,3,4,1,6,2]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>{{1,6},{2,3,4,5}}=>[4,2]
[5,3,4,2,1,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>{{1,2,3,4,5},{6}}=>[5,1]
[5,3,4,2,6,1]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>{{1,6},{2,3,4,5}}=>[4,2]
[5,3,4,6,1,2]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>{{1,2,6},{3,4,5}}=>[3,3]
[5,3,4,6,2,1]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>{{1,2,6},{3,4,5}}=>[3,3]
[5,3,6,1,2,4]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>{{1,2,3,6},{4,5}}=>[4,2]
[5,3,6,1,4,2]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>{{1,2,3,6},{4,5}}=>[4,2]
[5,3,6,2,1,4]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>{{1,2,3,6},{4,5}}=>[4,2]
[5,3,6,2,4,1]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>{{1,2,3,6},{4,5}}=>[4,2]
[5,3,6,4,1,2]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>{{1,2,3,6},{4,5}}=>[4,2]
[5,3,6,4,2,1]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>{{1,2,3,6},{4,5}}=>[4,2]
[5,4,1,2,3,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>{{1,2,3,4,5},{6}}=>[5,1]
[5,4,1,2,6,3]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>{{1,6},{2,3,4,5}}=>[4,2]
[5,4,1,3,2,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>{{1,2,3,4,5},{6}}=>[5,1]
[5,4,1,3,6,2]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>{{1,6},{2,3,4,5}}=>[4,2]
[5,4,1,6,2,3]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>{{1,2,6},{3,4,5}}=>[3,3]
[5,4,1,6,3,2]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>{{1,2,6},{3,4,5}}=>[3,3]
[5,4,2,1,3,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>{{1,2,3,4,5},{6}}=>[5,1]
[5,4,2,1,6,3]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>{{1,6},{2,3,4,5}}=>[4,2]
[5,4,2,3,1,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>{{1,2,3,4,5},{6}}=>[5,1]
[5,4,2,3,6,1]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>{{1,6},{2,3,4,5}}=>[4,2]
[5,4,2,6,1,3]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>{{1,2,6},{3,4,5}}=>[3,3]
[5,4,2,6,3,1]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>{{1,2,6},{3,4,5}}=>[3,3]
[5,4,3,1,2,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>{{1,2,3,4,5},{6}}=>[5,1]
[5,4,3,1,6,2]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>{{1,6},{2,3,4,5}}=>[4,2]
[5,4,3,2,1,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>{{1,2,3,4,5},{6}}=>[5,1]
[5,4,3,2,6,1]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>{{1,6},{2,3,4,5}}=>[4,2]
[5,4,3,6,1,2]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>{{1,2,6},{3,4,5}}=>[3,3]
[5,4,3,6,2,1]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>{{1,2,6},{3,4,5}}=>[3,3]
[5,4,6,1,2,3]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>{{1,2,3,6},{4,5}}=>[4,2]
[5,4,6,1,3,2]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>{{1,2,3,6},{4,5}}=>[4,2]
[5,4,6,2,1,3]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>{{1,2,3,6},{4,5}}=>[4,2]
[5,4,6,2,3,1]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>{{1,2,3,6},{4,5}}=>[4,2]
[5,4,6,3,1,2]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>{{1,2,3,6},{4,5}}=>[4,2]
[5,4,6,3,2,1]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>{{1,2,3,6},{4,5}}=>[4,2]
[5,6,1,2,3,4]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>{{1,2,3,4,6},{5}}=>[5,1]
[5,6,1,2,4,3]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>{{1,2,3,4,6},{5}}=>[5,1]
[5,6,1,3,2,4]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>{{1,2,3,4,6},{5}}=>[5,1]
[5,6,1,3,4,2]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>{{1,2,3,4,6},{5}}=>[5,1]
[5,6,1,4,2,3]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>{{1,2,3,4,6},{5}}=>[5,1]
[5,6,1,4,3,2]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>{{1,2,3,4,6},{5}}=>[5,1]
[5,6,2,1,3,4]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>{{1,2,3,4,6},{5}}=>[5,1]
[5,6,2,1,4,3]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>{{1,2,3,4,6},{5}}=>[5,1]
[5,6,2,3,1,4]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>{{1,2,3,4,6},{5}}=>[5,1]
[5,6,2,3,4,1]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>{{1,2,3,4,6},{5}}=>[5,1]
[5,6,2,4,1,3]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>{{1,2,3,4,6},{5}}=>[5,1]
[5,6,2,4,3,1]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>{{1,2,3,4,6},{5}}=>[5,1]
[5,6,3,1,2,4]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>{{1,2,3,4,6},{5}}=>[5,1]
[5,6,3,1,4,2]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>{{1,2,3,4,6},{5}}=>[5,1]
[5,6,3,2,1,4]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>{{1,2,3,4,6},{5}}=>[5,1]
[5,6,3,2,4,1]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>{{1,2,3,4,6},{5}}=>[5,1]
[5,6,3,4,1,2]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>{{1,2,3,4,6},{5}}=>[5,1]
[5,6,3,4,2,1]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>{{1,2,3,4,6},{5}}=>[5,1]
[5,6,4,1,2,3]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>{{1,2,3,4,6},{5}}=>[5,1]
[5,6,4,1,3,2]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>{{1,2,3,4,6},{5}}=>[5,1]
[5,6,4,2,1,3]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>{{1,2,3,4,6},{5}}=>[5,1]
[5,6,4,2,3,1]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>{{1,2,3,4,6},{5}}=>[5,1]
[5,6,4,3,1,2]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>{{1,2,3,4,6},{5}}=>[5,1]
[5,6,4,3,2,1]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>{{1,2,3,4,6},{5}}=>[5,1]
[6,1,2,3,4,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2,3,4,5,6}}=>[6]
[6,1,2,3,5,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2,3,4,5,6}}=>[6]
[6,1,2,4,3,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2,3,4,5,6}}=>[6]
[6,1,2,4,5,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2,3,4,5,6}}=>[6]
[6,1,2,5,3,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2,3,4,5,6}}=>[6]
[6,1,2,5,4,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2,3,4,5,6}}=>[6]
[6,1,3,2,4,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2,3,4,5,6}}=>[6]
[6,1,3,2,5,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2,3,4,5,6}}=>[6]
[6,1,3,4,2,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2,3,4,5,6}}=>[6]
[6,1,3,4,5,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2,3,4,5,6}}=>[6]
[6,1,3,5,2,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2,3,4,5,6}}=>[6]
[6,1,3,5,4,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2,3,4,5,6}}=>[6]
[6,1,4,2,3,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2,3,4,5,6}}=>[6]
[6,1,4,2,5,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2,3,4,5,6}}=>[6]
[6,1,4,3,2,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2,3,4,5,6}}=>[6]
[6,1,4,3,5,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2,3,4,5,6}}=>[6]
[6,1,4,5,2,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2,3,4,5,6}}=>[6]
[6,1,4,5,3,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2,3,4,5,6}}=>[6]
[6,1,5,2,3,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2,3,4,5,6}}=>[6]
[6,1,5,2,4,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2,3,4,5,6}}=>[6]
[6,1,5,3,2,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2,3,4,5,6}}=>[6]
[6,1,5,3,4,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2,3,4,5,6}}=>[6]
[6,1,5,4,2,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2,3,4,5,6}}=>[6]
[6,1,5,4,3,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2,3,4,5,6}}=>[6]
[6,2,1,3,4,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2,3,4,5,6}}=>[6]
[6,2,1,3,5,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2,3,4,5,6}}=>[6]
[6,2,1,4,3,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2,3,4,5,6}}=>[6]
[6,2,1,4,5,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2,3,4,5,6}}=>[6]
[6,2,1,5,3,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2,3,4,5,6}}=>[6]
[6,2,1,5,4,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2,3,4,5,6}}=>[6]
[6,2,3,1,4,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2,3,4,5,6}}=>[6]
[6,2,3,1,5,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2,3,4,5,6}}=>[6]
[6,2,3,4,1,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2,3,4,5,6}}=>[6]
[6,2,3,4,5,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2,3,4,5,6}}=>[6]
[6,2,3,5,1,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2,3,4,5,6}}=>[6]
[6,2,3,5,4,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2,3,4,5,6}}=>[6]
[6,2,4,1,3,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2,3,4,5,6}}=>[6]
[6,2,4,1,5,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2,3,4,5,6}}=>[6]
[6,2,4,3,1,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2,3,4,5,6}}=>[6]
[6,2,4,3,5,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2,3,4,5,6}}=>[6]
[6,2,4,5,1,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2,3,4,5,6}}=>[6]
[6,2,4,5,3,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2,3,4,5,6}}=>[6]
[6,2,5,1,3,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2,3,4,5,6}}=>[6]
[6,2,5,1,4,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2,3,4,5,6}}=>[6]
[6,2,5,3,1,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2,3,4,5,6}}=>[6]
[6,2,5,3,4,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2,3,4,5,6}}=>[6]
[6,2,5,4,1,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2,3,4,5,6}}=>[6]
[6,2,5,4,3,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2,3,4,5,6}}=>[6]
[6,3,1,2,4,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2,3,4,5,6}}=>[6]
[6,3,1,2,5,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2,3,4,5,6}}=>[6]
[6,3,1,4,2,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2,3,4,5,6}}=>[6]
[6,3,1,4,5,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2,3,4,5,6}}=>[6]
[6,3,1,5,2,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2,3,4,5,6}}=>[6]
[6,3,1,5,4,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2,3,4,5,6}}=>[6]
[6,3,2,1,4,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2,3,4,5,6}}=>[6]
[6,3,2,1,5,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2,3,4,5,6}}=>[6]
[6,3,2,4,1,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2,3,4,5,6}}=>[6]
[6,3,2,4,5,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2,3,4,5,6}}=>[6]
[6,3,2,5,1,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2,3,4,5,6}}=>[6]
[6,3,2,5,4,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2,3,4,5,6}}=>[6]
[6,3,4,1,2,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2,3,4,5,6}}=>[6]
[6,3,4,1,5,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2,3,4,5,6}}=>[6]
[6,3,4,2,1,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2,3,4,5,6}}=>[6]
[6,3,4,2,5,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2,3,4,5,6}}=>[6]
[6,3,4,5,1,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2,3,4,5,6}}=>[6]
[6,3,4,5,2,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2,3,4,5,6}}=>[6]
[6,3,5,1,2,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2,3,4,5,6}}=>[6]
[6,3,5,1,4,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2,3,4,5,6}}=>[6]
[6,3,5,2,1,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2,3,4,5,6}}=>[6]
[6,3,5,2,4,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2,3,4,5,6}}=>[6]
[6,3,5,4,1,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2,3,4,5,6}}=>[6]
[6,3,5,4,2,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2,3,4,5,6}}=>[6]
[6,4,1,2,3,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2,3,4,5,6}}=>[6]
[6,4,1,2,5,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2,3,4,5,6}}=>[6]
[6,4,1,3,2,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2,3,4,5,6}}=>[6]
[6,4,1,3,5,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2,3,4,5,6}}=>[6]
[6,4,1,5,2,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2,3,4,5,6}}=>[6]
[6,4,1,5,3,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2,3,4,5,6}}=>[6]
[6,4,2,1,3,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2,3,4,5,6}}=>[6]
[6,4,2,1,5,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2,3,4,5,6}}=>[6]
[6,4,2,3,1,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2,3,4,5,6}}=>[6]
[6,4,2,3,5,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2,3,4,5,6}}=>[6]
[6,4,2,5,1,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2,3,4,5,6}}=>[6]
[6,4,2,5,3,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2,3,4,5,6}}=>[6]
[6,4,3,1,2,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2,3,4,5,6}}=>[6]
[6,4,3,1,5,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2,3,4,5,6}}=>[6]
[6,4,3,2,1,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2,3,4,5,6}}=>[6]
[6,4,3,2,5,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2,3,4,5,6}}=>[6]
[6,4,3,5,1,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2,3,4,5,6}}=>[6]
[6,4,3,5,2,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2,3,4,5,6}}=>[6]
[6,4,5,1,2,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2,3,4,5,6}}=>[6]
[6,4,5,1,3,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2,3,4,5,6}}=>[6]
[6,4,5,2,1,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2,3,4,5,6}}=>[6]
[6,4,5,2,3,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2,3,4,5,6}}=>[6]
[6,4,5,3,1,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2,3,4,5,6}}=>[6]
[6,4,5,3,2,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2,3,4,5,6}}=>[6]
[6,5,1,2,3,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2,3,4,5,6}}=>[6]
[6,5,1,2,4,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2,3,4,5,6}}=>[6]
[6,5,1,3,2,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2,3,4,5,6}}=>[6]
[6,5,1,3,4,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2,3,4,5,6}}=>[6]
[6,5,1,4,2,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2,3,4,5,6}}=>[6]
[6,5,1,4,3,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2,3,4,5,6}}=>[6]
[6,5,2,1,3,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2,3,4,5,6}}=>[6]
[6,5,2,1,4,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2,3,4,5,6}}=>[6]
[6,5,2,3,1,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2,3,4,5,6}}=>[6]
[6,5,2,3,4,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2,3,4,5,6}}=>[6]
[6,5,2,4,1,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2,3,4,5,6}}=>[6]
[6,5,2,4,3,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2,3,4,5,6}}=>[6]
[6,5,3,1,2,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2,3,4,5,6}}=>[6]
[6,5,3,1,4,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2,3,4,5,6}}=>[6]
[6,5,3,2,1,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2,3,4,5,6}}=>[6]
[6,5,3,2,4,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2,3,4,5,6}}=>[6]
[6,5,3,4,1,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2,3,4,5,6}}=>[6]
[6,5,3,4,2,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2,3,4,5,6}}=>[6]
[6,5,4,1,2,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2,3,4,5,6}}=>[6]
[6,5,4,1,3,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2,3,4,5,6}}=>[6]
[6,5,4,2,1,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2,3,4,5,6}}=>[6]
[6,5,4,2,3,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2,3,4,5,6}}=>[6]
[6,5,4,3,1,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2,3,4,5,6}}=>[6]
[6,5,4,3,2,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2,3,4,5,6}}=>[6]
[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},{6},{7}}=>[1,1,1,1,1,1,1]
[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},{5},{6,7}}=>[2,1,1,1,1,1]
[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},{5,6},{7}}=>[2,1,1,1,1,1]
[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},{5,7},{6}}=>[2,1,1,1,1,1]
[1,2,3,4,7,5,6]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>{{1},{2},{3},{4},{5,6,7}}=>[3,1,1,1,1]
[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},{5,6,7}}=>[3,1,1,1,1]
[1,2,3,5,4,6,7]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>{{1},{2},{3},{4,5},{6},{7}}=>[2,1,1,1,1,1]
[1,2,3,5,4,7,6]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>{{1},{2},{3},{4,5},{6,7}}=>[2,2,1,1,1]
[1,2,3,5,6,4,7]=>[1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>{{1},{2},{3},{4,6},{5},{7}}=>[2,1,1,1,1,1]
[1,2,3,5,6,7,4]=>[1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>{{1},{2},{3},{4,7},{5},{6}}=>[2,1,1,1,1,1]
[1,2,3,5,7,4,6]=>[1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>{{1},{2},{3},{4,6,7},{5}}=>[3,1,1,1,1]
[1,2,3,5,7,6,4]=>[1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>{{1},{2},{3},{4,6,7},{5}}=>[3,1,1,1,1]
[1,2,3,6,4,5,7]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>{{1},{2},{3},{4,5,6},{7}}=>[3,1,1,1,1]
[1,2,3,6,4,7,5]=>[1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>{{1},{2},{3},{4,7},{5,6}}=>[2,2,1,1,1]
[1,2,3,6,5,4,7]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>{{1},{2},{3},{4,5,6},{7}}=>[3,1,1,1,1]
[1,2,3,6,5,7,4]=>[1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>{{1},{2},{3},{4,7},{5,6}}=>[2,2,1,1,1]
[1,2,3,6,7,4,5]=>[1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>{{1},{2},{3},{4,5,7},{6}}=>[3,1,1,1,1]
[1,2,3,6,7,5,4]=>[1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>{{1},{2},{3},{4,5,7},{6}}=>[3,1,1,1,1]
[1,2,3,7,4,5,6]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>{{1},{2},{3},{4,5,6,7}}=>[4,1,1,1]
[1,2,3,7,4,6,5]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>{{1},{2},{3},{4,5,6,7}}=>[4,1,1,1]
[1,2,3,7,5,4,6]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>{{1},{2},{3},{4,5,6,7}}=>[4,1,1,1]
[1,2,3,7,5,6,4]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>{{1},{2},{3},{4,5,6,7}}=>[4,1,1,1]
[1,2,3,7,6,4,5]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>{{1},{2},{3},{4,5,6,7}}=>[4,1,1,1]
[1,2,3,7,6,5,4]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>{{1},{2},{3},{4,5,6,7}}=>[4,1,1,1]
[1,2,4,3,5,6,7]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>{{1},{2},{3,4},{5},{6},{7}}=>[2,1,1,1,1,1]
[1,2,4,3,5,7,6]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>{{1},{2},{3,4},{5},{6,7}}=>[2,2,1,1,1]
[1,2,4,3,6,5,7]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>{{1},{2},{3,4},{5,6},{7}}=>[2,2,1,1,1]
[1,2,4,3,6,7,5]=>[1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>{{1},{2},{3,4},{5,7},{6}}=>[2,2,1,1,1]
[1,2,4,3,7,5,6]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>{{1},{2},{3,4},{5,6,7}}=>[3,2,1,1]
[1,2,4,3,7,6,5]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>{{1},{2},{3,4},{5,6,7}}=>[3,2,1,1]
[1,2,4,5,3,6,7]=>[1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>{{1},{2},{3,5},{4},{6},{7}}=>[2,1,1,1,1,1]
[1,2,4,5,3,7,6]=>[1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>{{1},{2},{3,5},{4},{6,7}}=>[2,2,1,1,1]
[1,2,4,5,6,3,7]=>[1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>{{1},{2},{3,6},{4},{5},{7}}=>[2,1,1,1,1,1]
[1,2,4,5,6,7,3]=>[1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>{{1},{2},{3,7},{4},{5},{6}}=>[2,1,1,1,1,1]
[1,2,4,5,7,3,6]=>[1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>{{1},{2},{3,6,7},{4},{5}}=>[3,1,1,1,1]
[1,2,4,5,7,6,3]=>[1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>{{1},{2},{3,6,7},{4},{5}}=>[3,1,1,1,1]
[1,2,4,6,3,5,7]=>[1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>{{1},{2},{3,5,6},{4},{7}}=>[3,1,1,1,1]
[1,2,4,6,3,7,5]=>[1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>{{1},{2},{3,7},{4},{5,6}}=>[2,2,1,1,1]
[1,2,4,6,5,3,7]=>[1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>{{1},{2},{3,5,6},{4},{7}}=>[3,1,1,1,1]
[1,2,4,6,5,7,3]=>[1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>{{1},{2},{3,7},{4},{5,6}}=>[2,2,1,1,1]
[1,2,4,6,7,3,5]=>[1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>{{1},{2},{3,5,7},{4},{6}}=>[3,1,1,1,1]
[1,2,4,6,7,5,3]=>[1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>{{1},{2},{3,5,7},{4},{6}}=>[3,1,1,1,1]
[1,2,4,7,3,5,6]=>[1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>{{1},{2},{3,5,6,7},{4}}=>[4,1,1,1]
[1,2,4,7,3,6,5]=>[1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>{{1},{2},{3,5,6,7},{4}}=>[4,1,1,1]
[1,2,4,7,5,3,6]=>[1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>{{1},{2},{3,5,6,7},{4}}=>[4,1,1,1]
[1,2,4,7,5,6,3]=>[1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>{{1},{2},{3,5,6,7},{4}}=>[4,1,1,1]
[1,2,4,7,6,3,5]=>[1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>{{1},{2},{3,5,6,7},{4}}=>[4,1,1,1]
[1,2,4,7,6,5,3]=>[1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>{{1},{2},{3,5,6,7},{4}}=>[4,1,1,1]
[1,2,5,3,4,6,7]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>{{1},{2},{3,4,5},{6},{7}}=>[3,1,1,1,1]
[1,2,5,3,4,7,6]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>{{1},{2},{3,4,5},{6,7}}=>[3,2,1,1]
[1,2,5,3,6,4,7]=>[1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>{{1},{2},{3,6},{4,5},{7}}=>[2,2,1,1,1]
[1,2,5,3,6,7,4]=>[1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>{{1},{2},{3,7},{4,5},{6}}=>[2,2,1,1,1]
[1,2,5,3,7,4,6]=>[1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>{{1},{2},{3,6,7},{4,5}}=>[3,2,1,1]
[1,2,5,3,7,6,4]=>[1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>{{1},{2},{3,6,7},{4,5}}=>[3,2,1,1]
[1,2,5,4,3,6,7]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>{{1},{2},{3,4,5},{6},{7}}=>[3,1,1,1,1]
[1,2,5,4,3,7,6]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>{{1},{2},{3,4,5},{6,7}}=>[3,2,1,1]
[1,2,5,4,6,3,7]=>[1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>{{1},{2},{3,6},{4,5},{7}}=>[2,2,1,1,1]
[1,2,5,4,6,7,3]=>[1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>{{1},{2},{3,7},{4,5},{6}}=>[2,2,1,1,1]
[1,2,5,4,7,3,6]=>[1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>{{1},{2},{3,6,7},{4,5}}=>[3,2,1,1]
[1,2,5,4,7,6,3]=>[1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>{{1},{2},{3,6,7},{4,5}}=>[3,2,1,1]
[1,2,5,6,3,4,7]=>[1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>{{1},{2},{3,4,6},{5},{7}}=>[3,1,1,1,1]
[1,2,5,6,3,7,4]=>[1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>{{1},{2},{3,7},{4,6},{5}}=>[2,2,1,1,1]
[1,2,5,6,4,3,7]=>[1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>{{1},{2},{3,4,6},{5},{7}}=>[3,1,1,1,1]
[1,2,5,6,4,7,3]=>[1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>{{1},{2},{3,7},{4,6},{5}}=>[2,2,1,1,1]
[1,2,5,6,7,3,4]=>[1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>{{1},{2},{3,4,7},{5},{6}}=>[3,1,1,1,1]
[1,2,5,6,7,4,3]=>[1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>{{1},{2},{3,4,7},{5},{6}}=>[3,1,1,1,1]
[1,2,5,7,3,4,6]=>[1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>{{1},{2},{3,4,6,7},{5}}=>[4,1,1,1]
[1,2,5,7,3,6,4]=>[1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>{{1},{2},{3,4,6,7},{5}}=>[4,1,1,1]
[1,2,5,7,4,3,6]=>[1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>{{1},{2},{3,4,6,7},{5}}=>[4,1,1,1]
[1,2,5,7,4,6,3]=>[1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>{{1},{2},{3,4,6,7},{5}}=>[4,1,1,1]
[1,2,5,7,6,3,4]=>[1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>{{1},{2},{3,4,6,7},{5}}=>[4,1,1,1]
[1,2,5,7,6,4,3]=>[1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>{{1},{2},{3,4,6,7},{5}}=>[4,1,1,1]
[1,2,6,3,4,5,7]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>{{1},{2},{3,4,5,6},{7}}=>[4,1,1,1]
[1,2,6,3,4,7,5]=>[1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>{{1},{2},{3,7},{4,5,6}}=>[3,2,1,1]
[1,2,6,3,5,4,7]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>{{1},{2},{3,4,5,6},{7}}=>[4,1,1,1]
[1,2,6,3,5,7,4]=>[1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>{{1},{2},{3,7},{4,5,6}}=>[3,2,1,1]
[1,2,6,3,7,4,5]=>[1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>{{1},{2},{3,4,7},{5,6}}=>[3,2,1,1]
[1,2,6,3,7,5,4]=>[1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>{{1},{2},{3,4,7},{5,6}}=>[3,2,1,1]
[1,2,6,4,3,5,7]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>{{1},{2},{3,4,5,6},{7}}=>[4,1,1,1]
[1,2,6,4,3,7,5]=>[1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>{{1},{2},{3,7},{4,5,6}}=>[3,2,1,1]
[1,2,6,4,5,3,7]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>{{1},{2},{3,4,5,6},{7}}=>[4,1,1,1]
[1,2,6,4,5,7,3]=>[1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>{{1},{2},{3,7},{4,5,6}}=>[3,2,1,1]
[1,2,6,4,7,3,5]=>[1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>{{1},{2},{3,4,7},{5,6}}=>[3,2,1,1]
[1,2,6,4,7,5,3]=>[1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>{{1},{2},{3,4,7},{5,6}}=>[3,2,1,1]
[1,2,6,5,3,4,7]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>{{1},{2},{3,4,5,6},{7}}=>[4,1,1,1]
[1,2,6,5,3,7,4]=>[1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>{{1},{2},{3,7},{4,5,6}}=>[3,2,1,1]
[1,2,6,5,4,3,7]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>{{1},{2},{3,4,5,6},{7}}=>[4,1,1,1]
[1,2,6,5,4,7,3]=>[1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>{{1},{2},{3,7},{4,5,6}}=>[3,2,1,1]
[1,2,6,5,7,3,4]=>[1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>{{1},{2},{3,4,7},{5,6}}=>[3,2,1,1]
[1,2,6,5,7,4,3]=>[1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>{{1},{2},{3,4,7},{5,6}}=>[3,2,1,1]
[1,2,6,7,3,4,5]=>[1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>{{1},{2},{3,4,5,7},{6}}=>[4,1,1,1]
[1,2,6,7,3,5,4]=>[1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>{{1},{2},{3,4,5,7},{6}}=>[4,1,1,1]
[1,2,6,7,4,3,5]=>[1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>{{1},{2},{3,4,5,7},{6}}=>[4,1,1,1]
[1,2,6,7,4,5,3]=>[1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>{{1},{2},{3,4,5,7},{6}}=>[4,1,1,1]
[1,2,6,7,5,3,4]=>[1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>{{1},{2},{3,4,5,7},{6}}=>[4,1,1,1]
[1,2,6,7,5,4,3]=>[1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>{{1},{2},{3,4,5,7},{6}}=>[4,1,1,1]
[1,2,7,3,4,5,6]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>{{1},{2},{3,4,5,6,7}}=>[5,1,1]
[1,2,7,3,4,6,5]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>{{1},{2},{3,4,5,6,7}}=>[5,1,1]
[1,2,7,3,5,4,6]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>{{1},{2},{3,4,5,6,7}}=>[5,1,1]
[1,2,7,3,5,6,4]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>{{1},{2},{3,4,5,6,7}}=>[5,1,1]
[1,2,7,3,6,4,5]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>{{1},{2},{3,4,5,6,7}}=>[5,1,1]
[1,2,7,3,6,5,4]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>{{1},{2},{3,4,5,6,7}}=>[5,1,1]
[1,2,7,4,3,5,6]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>{{1},{2},{3,4,5,6,7}}=>[5,1,1]
[1,2,7,4,3,6,5]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>{{1},{2},{3,4,5,6,7}}=>[5,1,1]
[1,2,7,4,5,3,6]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>{{1},{2},{3,4,5,6,7}}=>[5,1,1]
[1,2,7,4,5,6,3]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>{{1},{2},{3,4,5,6,7}}=>[5,1,1]
[1,2,7,4,6,3,5]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>{{1},{2},{3,4,5,6,7}}=>[5,1,1]
[1,2,7,4,6,5,3]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>{{1},{2},{3,4,5,6,7}}=>[5,1,1]
[1,2,7,5,3,4,6]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>{{1},{2},{3,4,5,6,7}}=>[5,1,1]
[1,2,7,5,3,6,4]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>{{1},{2},{3,4,5,6,7}}=>[5,1,1]
[1,2,7,5,4,3,6]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>{{1},{2},{3,4,5,6,7}}=>[5,1,1]
[1,2,7,5,4,6,3]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>{{1},{2},{3,4,5,6,7}}=>[5,1,1]
[1,2,7,5,6,3,4]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>{{1},{2},{3,4,5,6,7}}=>[5,1,1]
[1,2,7,5,6,4,3]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>{{1},{2},{3,4,5,6,7}}=>[5,1,1]
[1,2,7,6,3,4,5]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>{{1},{2},{3,4,5,6,7}}=>[5,1,1]
[1,2,7,6,3,5,4]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>{{1},{2},{3,4,5,6,7}}=>[5,1,1]
[1,2,7,6,4,3,5]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>{{1},{2},{3,4,5,6,7}}=>[5,1,1]
[1,2,7,6,4,5,3]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>{{1},{2},{3,4,5,6,7}}=>[5,1,1]
[1,2,7,6,5,3,4]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>{{1},{2},{3,4,5,6,7}}=>[5,1,1]
[1,2,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>{{1},{2},{3,4,5,6,7}}=>[5,1,1]
[1,3,2,4,5,6,7]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>{{1},{2,3},{4},{5},{6},{7}}=>[2,1,1,1,1,1]
[1,3,2,4,5,7,6]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>{{1},{2,3},{4},{5},{6,7}}=>[2,2,1,1,1]
[1,3,2,4,6,5,7]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>{{1},{2,3},{4},{5,6},{7}}=>[2,2,1,1,1]
[1,3,2,4,6,7,5]=>[1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>{{1},{2,3},{4},{5,7},{6}}=>[2,2,1,1,1]
[1,3,2,4,7,5,6]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>{{1},{2,3},{4},{5,6,7}}=>[3,2,1,1]
[1,3,2,4,7,6,5]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>{{1},{2,3},{4},{5,6,7}}=>[3,2,1,1]
[1,3,2,5,4,6,7]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>{{1},{2,3},{4,5},{6},{7}}=>[2,2,1,1,1]
[1,3,2,5,4,7,6]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>{{1},{2,3},{4,5},{6,7}}=>[2,2,2,1]
[1,3,2,5,6,4,7]=>[1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>{{1},{2,3},{4,6},{5},{7}}=>[2,2,1,1,1]
[1,3,2,5,6,7,4]=>[1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>{{1},{2,3},{4,7},{5},{6}}=>[2,2,1,1,1]
[1,3,2,5,7,4,6]=>[1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>{{1},{2,3},{4,6,7},{5}}=>[3,2,1,1]
[1,3,2,5,7,6,4]=>[1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>{{1},{2,3},{4,6,7},{5}}=>[3,2,1,1]
[1,3,2,6,4,5,7]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>{{1},{2,3},{4,5,6},{7}}=>[3,2,1,1]
[1,3,2,6,4,7,5]=>[1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>{{1},{2,3},{4,7},{5,6}}=>[2,2,2,1]
[1,3,2,6,5,4,7]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>{{1},{2,3},{4,5,6},{7}}=>[3,2,1,1]
[1,3,2,6,5,7,4]=>[1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>{{1},{2,3},{4,7},{5,6}}=>[2,2,2,1]
[1,3,2,6,7,4,5]=>[1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>{{1},{2,3},{4,5,7},{6}}=>[3,2,1,1]
[1,3,2,6,7,5,4]=>[1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>{{1},{2,3},{4,5,7},{6}}=>[3,2,1,1]
[1,3,2,7,4,5,6]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>{{1},{2,3},{4,5,6,7}}=>[4,2,1]
[1,3,2,7,4,6,5]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>{{1},{2,3},{4,5,6,7}}=>[4,2,1]
[1,3,2,7,5,4,6]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>{{1},{2,3},{4,5,6,7}}=>[4,2,1]
[1,3,2,7,5,6,4]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>{{1},{2,3},{4,5,6,7}}=>[4,2,1]
[1,3,2,7,6,4,5]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>{{1},{2,3},{4,5,6,7}}=>[4,2,1]
[1,3,2,7,6,5,4]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>{{1},{2,3},{4,5,6,7}}=>[4,2,1]
[1,3,4,2,5,6,7]=>[1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>{{1},{2,4},{3},{5},{6},{7}}=>[2,1,1,1,1,1]
[1,3,4,2,5,7,6]=>[1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>{{1},{2,4},{3},{5},{6,7}}=>[2,2,1,1,1]
[1,3,4,2,6,5,7]=>[1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>{{1},{2,4},{3},{5,6},{7}}=>[2,2,1,1,1]
[1,3,4,2,6,7,5]=>[1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>{{1},{2,4},{3},{5,7},{6}}=>[2,2,1,1,1]
[1,3,4,2,7,5,6]=>[1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>{{1},{2,4},{3},{5,6,7}}=>[3,2,1,1]
[1,3,4,2,7,6,5]=>[1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>{{1},{2,4},{3},{5,6,7}}=>[3,2,1,1]
[1,3,4,5,2,6,7]=>[1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>{{1},{2,5},{3},{4},{6},{7}}=>[2,1,1,1,1,1]
[1,3,4,5,2,7,6]=>[1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>{{1},{2,5},{3},{4},{6,7}}=>[2,2,1,1,1]
[1,3,4,5,6,2,7]=>[1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>{{1},{2,6},{3},{4},{5},{7}}=>[2,1,1,1,1,1]
[1,3,4,5,6,7,2]=>[1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>{{1},{2,7},{3},{4},{5},{6}}=>[2,1,1,1,1,1]
[1,3,4,5,7,2,6]=>[1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>{{1},{2,6,7},{3},{4},{5}}=>[3,1,1,1,1]
[1,3,4,5,7,6,2]=>[1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>{{1},{2,6,7},{3},{4},{5}}=>[3,1,1,1,1]
[1,3,4,6,2,5,7]=>[1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>{{1},{2,5,6},{3},{4},{7}}=>[3,1,1,1,1]
[1,3,4,6,2,7,5]=>[1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>{{1},{2,7},{3},{4},{5,6}}=>[2,2,1,1,1]
[1,3,4,6,5,2,7]=>[1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>{{1},{2,5,6},{3},{4},{7}}=>[3,1,1,1,1]
[1,3,4,6,5,7,2]=>[1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>{{1},{2,7},{3},{4},{5,6}}=>[2,2,1,1,1]
[1,3,4,6,7,2,5]=>[1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>{{1},{2,5,7},{3},{4},{6}}=>[3,1,1,1,1]
[1,3,4,6,7,5,2]=>[1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>{{1},{2,5,7},{3},{4},{6}}=>[3,1,1,1,1]
[1,3,4,7,2,5,6]=>[1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>{{1},{2,5,6,7},{3},{4}}=>[4,1,1,1]
[1,3,4,7,2,6,5]=>[1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>{{1},{2,5,6,7},{3},{4}}=>[4,1,1,1]
[1,3,4,7,5,2,6]=>[1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>{{1},{2,5,6,7},{3},{4}}=>[4,1,1,1]
[1,3,4,7,5,6,2]=>[1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>{{1},{2,5,6,7},{3},{4}}=>[4,1,1,1]
[1,3,4,7,6,2,5]=>[1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>{{1},{2,5,6,7},{3},{4}}=>[4,1,1,1]
[1,3,4,7,6,5,2]=>[1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>{{1},{2,5,6,7},{3},{4}}=>[4,1,1,1]
[1,3,5,2,4,6,7]=>[1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>{{1},{2,4,5},{3},{6},{7}}=>[3,1,1,1,1]
[1,3,5,2,4,7,6]=>[1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>{{1},{2,4,5},{3},{6,7}}=>[3,2,1,1]
[1,3,5,2,6,4,7]=>[1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>{{1},{2,6},{3},{4,5},{7}}=>[2,2,1,1,1]
[1,3,5,2,6,7,4]=>[1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>{{1},{2,7},{3},{4,5},{6}}=>[2,2,1,1,1]
[1,3,5,2,7,4,6]=>[1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>{{1},{2,6,7},{3},{4,5}}=>[3,2,1,1]
[1,3,5,2,7,6,4]=>[1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>{{1},{2,6,7},{3},{4,5}}=>[3,2,1,1]
[1,3,5,4,2,6,7]=>[1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>{{1},{2,4,5},{3},{6},{7}}=>[3,1,1,1,1]
[1,3,5,4,2,7,6]=>[1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>{{1},{2,4,5},{3},{6,7}}=>[3,2,1,1]
[1,3,5,4,6,2,7]=>[1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>{{1},{2,6},{3},{4,5},{7}}=>[2,2,1,1,1]
[1,3,5,4,6,7,2]=>[1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>{{1},{2,7},{3},{4,5},{6}}=>[2,2,1,1,1]
[1,3,5,4,7,2,6]=>[1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>{{1},{2,6,7},{3},{4,5}}=>[3,2,1,1]
[1,3,5,4,7,6,2]=>[1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>{{1},{2,6,7},{3},{4,5}}=>[3,2,1,1]
[1,3,5,6,2,4,7]=>[1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>{{1},{2,4,6},{3},{5},{7}}=>[3,1,1,1,1]
[1,3,5,6,2,7,4]=>[1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>{{1},{2,7},{3},{4,6},{5}}=>[2,2,1,1,1]
[1,3,5,6,4,2,7]=>[1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>{{1},{2,4,6},{3},{5},{7}}=>[3,1,1,1,1]
[1,3,5,6,4,7,2]=>[1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>{{1},{2,7},{3},{4,6},{5}}=>[2,2,1,1,1]
[1,3,5,6,7,2,4]=>[1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>{{1},{2,4,7},{3},{5},{6}}=>[3,1,1,1,1]
[1,3,5,6,7,4,2]=>[1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>{{1},{2,4,7},{3},{5},{6}}=>[3,1,1,1,1]
[1,3,5,7,2,4,6]=>[1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>{{1},{2,4,6,7},{3},{5}}=>[4,1,1,1]
[1,3,5,7,2,6,4]=>[1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>{{1},{2,4,6,7},{3},{5}}=>[4,1,1,1]
[1,3,5,7,4,2,6]=>[1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>{{1},{2,4,6,7},{3},{5}}=>[4,1,1,1]
[1,3,5,7,4,6,2]=>[1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>{{1},{2,4,6,7},{3},{5}}=>[4,1,1,1]
[1,3,5,7,6,2,4]=>[1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>{{1},{2,4,6,7},{3},{5}}=>[4,1,1,1]
[1,3,5,7,6,4,2]=>[1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>{{1},{2,4,6,7},{3},{5}}=>[4,1,1,1]
[1,3,6,2,4,5,7]=>[1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>{{1},{2,4,5,6},{3},{7}}=>[4,1,1,1]
[1,3,6,2,4,7,5]=>[1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>{{1},{2,7},{3},{4,5,6}}=>[3,2,1,1]
[1,3,6,2,5,4,7]=>[1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>{{1},{2,4,5,6},{3},{7}}=>[4,1,1,1]
[1,3,6,2,5,7,4]=>[1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>{{1},{2,7},{3},{4,5,6}}=>[3,2,1,1]
[1,3,6,2,7,4,5]=>[1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>{{1},{2,4,7},{3},{5,6}}=>[3,2,1,1]
[1,3,6,2,7,5,4]=>[1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>{{1},{2,4,7},{3},{5,6}}=>[3,2,1,1]
[1,3,6,4,2,5,7]=>[1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>{{1},{2,4,5,6},{3},{7}}=>[4,1,1,1]
[1,3,6,4,2,7,5]=>[1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>{{1},{2,7},{3},{4,5,6}}=>[3,2,1,1]
[1,3,6,4,5,2,7]=>[1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>{{1},{2,4,5,6},{3},{7}}=>[4,1,1,1]
[1,3,6,4,5,7,2]=>[1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>{{1},{2,7},{3},{4,5,6}}=>[3,2,1,1]
[1,3,6,4,7,2,5]=>[1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>{{1},{2,4,7},{3},{5,6}}=>[3,2,1,1]
[1,3,6,4,7,5,2]=>[1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>{{1},{2,4,7},{3},{5,6}}=>[3,2,1,1]
[1,3,6,5,2,4,7]=>[1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>{{1},{2,4,5,6},{3},{7}}=>[4,1,1,1]
[1,3,6,5,2,7,4]=>[1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>{{1},{2,7},{3},{4,5,6}}=>[3,2,1,1]
[1,3,6,5,4,2,7]=>[1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>{{1},{2,4,5,6},{3},{7}}=>[4,1,1,1]
[1,3,6,5,4,7,2]=>[1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>{{1},{2,7},{3},{4,5,6}}=>[3,2,1,1]
[1,3,6,5,7,2,4]=>[1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>{{1},{2,4,7},{3},{5,6}}=>[3,2,1,1]
[1,3,6,5,7,4,2]=>[1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>{{1},{2,4,7},{3},{5,6}}=>[3,2,1,1]
[1,3,6,7,2,4,5]=>[1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>{{1},{2,4,5,7},{3},{6}}=>[4,1,1,1]
[1,3,6,7,2,5,4]=>[1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>{{1},{2,4,5,7},{3},{6}}=>[4,1,1,1]
[1,3,6,7,4,2,5]=>[1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>{{1},{2,4,5,7},{3},{6}}=>[4,1,1,1]
[1,3,6,7,4,5,2]=>[1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>{{1},{2,4,5,7},{3},{6}}=>[4,1,1,1]
[1,3,6,7,5,2,4]=>[1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>{{1},{2,4,5,7},{3},{6}}=>[4,1,1,1]
[1,3,6,7,5,4,2]=>[1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>{{1},{2,4,5,7},{3},{6}}=>[4,1,1,1]
[1,3,7,2,4,5,6]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>{{1},{2,4,5,6,7},{3}}=>[5,1,1]
[1,3,7,2,4,6,5]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>{{1},{2,4,5,6,7},{3}}=>[5,1,1]
[1,3,7,2,5,4,6]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>{{1},{2,4,5,6,7},{3}}=>[5,1,1]
[1,3,7,2,5,6,4]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>{{1},{2,4,5,6,7},{3}}=>[5,1,1]
[1,3,7,2,6,4,5]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>{{1},{2,4,5,6,7},{3}}=>[5,1,1]
[1,3,7,2,6,5,4]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>{{1},{2,4,5,6,7},{3}}=>[5,1,1]
[1,3,7,4,2,5,6]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>{{1},{2,4,5,6,7},{3}}=>[5,1,1]
[1,3,7,4,2,6,5]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>{{1},{2,4,5,6,7},{3}}=>[5,1,1]
[1,3,7,4,5,2,6]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>{{1},{2,4,5,6,7},{3}}=>[5,1,1]
[1,3,7,4,5,6,2]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>{{1},{2,4,5,6,7},{3}}=>[5,1,1]
[1,3,7,4,6,2,5]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>{{1},{2,4,5,6,7},{3}}=>[5,1,1]
[1,3,7,4,6,5,2]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>{{1},{2,4,5,6,7},{3}}=>[5,1,1]
[1,3,7,5,2,4,6]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>{{1},{2,4,5,6,7},{3}}=>[5,1,1]
[1,3,7,5,2,6,4]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>{{1},{2,4,5,6,7},{3}}=>[5,1,1]
[1,3,7,5,4,2,6]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>{{1},{2,4,5,6,7},{3}}=>[5,1,1]
[1,3,7,5,4,6,2]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>{{1},{2,4,5,6,7},{3}}=>[5,1,1]
[1,3,7,5,6,2,4]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>{{1},{2,4,5,6,7},{3}}=>[5,1,1]
[1,3,7,5,6,4,2]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>{{1},{2,4,5,6,7},{3}}=>[5,1,1]
[1,3,7,6,2,4,5]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>{{1},{2,4,5,6,7},{3}}=>[5,1,1]
[1,3,7,6,2,5,4]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>{{1},{2,4,5,6,7},{3}}=>[5,1,1]
[1,3,7,6,4,2,5]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>{{1},{2,4,5,6,7},{3}}=>[5,1,1]
[1,3,7,6,4,5,2]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>{{1},{2,4,5,6,7},{3}}=>[5,1,1]
[1,3,7,6,5,2,4]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>{{1},{2,4,5,6,7},{3}}=>[5,1,1]
[1,3,7,6,5,4,2]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>{{1},{2,4,5,6,7},{3}}=>[5,1,1]
[1,4,2,3,5,6,7]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>{{1},{2,3,4},{5},{6},{7}}=>[3,1,1,1,1]
[1,4,2,3,5,7,6]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>{{1},{2,3,4},{5},{6,7}}=>[3,2,1,1]
[1,4,2,3,6,5,7]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>{{1},{2,3,4},{5,6},{7}}=>[3,2,1,1]
[1,4,2,3,6,7,5]=>[1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>{{1},{2,3,4},{5,7},{6}}=>[3,2,1,1]
[1,4,2,3,7,5,6]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>{{1},{2,3,4},{5,6,7}}=>[3,3,1]
[1,4,2,3,7,6,5]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>{{1},{2,3,4},{5,6,7}}=>[3,3,1]
[1,4,2,5,3,6,7]=>[1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>{{1},{2,5},{3,4},{6},{7}}=>[2,2,1,1,1]
[1,4,2,5,3,7,6]=>[1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>{{1},{2,5},{3,4},{6,7}}=>[2,2,2,1]
[1,4,2,5,6,3,7]=>[1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>{{1},{2,6},{3,4},{5},{7}}=>[2,2,1,1,1]
[1,4,2,5,6,7,3]=>[1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>{{1},{2,7},{3,4},{5},{6}}=>[2,2,1,1,1]
[1,4,2,5,7,3,6]=>[1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>{{1},{2,6,7},{3,4},{5}}=>[3,2,1,1]
[1,4,2,5,7,6,3]=>[1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>{{1},{2,6,7},{3,4},{5}}=>[3,2,1,1]
[1,4,2,6,3,5,7]=>[1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>{{1},{2,5,6},{3,4},{7}}=>[3,2,1,1]
[1,4,2,6,3,7,5]=>[1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>{{1},{2,7},{3,4},{5,6}}=>[2,2,2,1]
[1,4,2,6,5,3,7]=>[1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>{{1},{2,5,6},{3,4},{7}}=>[3,2,1,1]
[1,4,2,6,5,7,3]=>[1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>{{1},{2,7},{3,4},{5,6}}=>[2,2,2,1]
[1,4,2,6,7,3,5]=>[1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>{{1},{2,5,7},{3,4},{6}}=>[3,2,1,1]
[1,4,2,6,7,5,3]=>[1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>{{1},{2,5,7},{3,4},{6}}=>[3,2,1,1]
[1,4,2,7,3,5,6]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>{{1},{2,5,6,7},{3,4}}=>[4,2,1]
[1,4,2,7,3,6,5]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>{{1},{2,5,6,7},{3,4}}=>[4,2,1]
[1,4,2,7,5,3,6]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>{{1},{2,5,6,7},{3,4}}=>[4,2,1]
[1,4,2,7,5,6,3]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>{{1},{2,5,6,7},{3,4}}=>[4,2,1]
[1,4,2,7,6,3,5]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>{{1},{2,5,6,7},{3,4}}=>[4,2,1]
[1,4,2,7,6,5,3]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>{{1},{2,5,6,7},{3,4}}=>[4,2,1]
[1,4,3,2,5,6,7]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>{{1},{2,3,4},{5},{6},{7}}=>[3,1,1,1,1]
[1,4,3,2,5,7,6]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>{{1},{2,3,4},{5},{6,7}}=>[3,2,1,1]
[1,4,3,2,6,5,7]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>{{1},{2,3,4},{5,6},{7}}=>[3,2,1,1]
[1,4,3,2,6,7,5]=>[1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>{{1},{2,3,4},{5,7},{6}}=>[3,2,1,1]
[1,4,3,2,7,5,6]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>{{1},{2,3,4},{5,6,7}}=>[3,3,1]
[1,4,3,2,7,6,5]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>{{1},{2,3,4},{5,6,7}}=>[3,3,1]
[1,4,3,5,2,6,7]=>[1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>{{1},{2,5},{3,4},{6},{7}}=>[2,2,1,1,1]
[1,4,3,5,2,7,6]=>[1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>{{1},{2,5},{3,4},{6,7}}=>[2,2,2,1]
[1,4,3,5,6,2,7]=>[1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>{{1},{2,6},{3,4},{5},{7}}=>[2,2,1,1,1]
[1,4,3,5,6,7,2]=>[1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>{{1},{2,7},{3,4},{5},{6}}=>[2,2,1,1,1]
[1,4,3,5,7,2,6]=>[1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>{{1},{2,6,7},{3,4},{5}}=>[3,2,1,1]
[1,4,3,5,7,6,2]=>[1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>{{1},{2,6,7},{3,4},{5}}=>[3,2,1,1]
[1,4,3,6,2,5,7]=>[1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>{{1},{2,5,6},{3,4},{7}}=>[3,2,1,1]
[1,4,3,6,2,7,5]=>[1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>{{1},{2,7},{3,4},{5,6}}=>[2,2,2,1]
[1,4,3,6,5,2,7]=>[1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>{{1},{2,5,6},{3,4},{7}}=>[3,2,1,1]
[1,4,3,6,5,7,2]=>[1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>{{1},{2,7},{3,4},{5,6}}=>[2,2,2,1]
[1,4,3,6,7,2,5]=>[1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>{{1},{2,5,7},{3,4},{6}}=>[3,2,1,1]
[1,4,3,6,7,5,2]=>[1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>{{1},{2,5,7},{3,4},{6}}=>[3,2,1,1]
[1,4,3,7,2,5,6]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>{{1},{2,5,6,7},{3,4}}=>[4,2,1]
[1,4,3,7,2,6,5]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>{{1},{2,5,6,7},{3,4}}=>[4,2,1]
[1,4,3,7,5,2,6]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>{{1},{2,5,6,7},{3,4}}=>[4,2,1]
[1,4,3,7,5,6,2]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>{{1},{2,5,6,7},{3,4}}=>[4,2,1]
[1,4,3,7,6,2,5]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>{{1},{2,5,6,7},{3,4}}=>[4,2,1]
[1,4,3,7,6,5,2]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>{{1},{2,5,6,7},{3,4}}=>[4,2,1]
[1,4,5,2,3,6,7]=>[1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>{{1},{2,3,5},{4},{6},{7}}=>[3,1,1,1,1]
[1,4,5,2,3,7,6]=>[1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>{{1},{2,3,5},{4},{6,7}}=>[3,2,1,1]
[1,4,5,2,6,3,7]=>[1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>{{1},{2,6},{3,5},{4},{7}}=>[2,2,1,1,1]
[1,4,5,2,6,7,3]=>[1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>{{1},{2,7},{3,5},{4},{6}}=>[2,2,1,1,1]
[1,4,5,2,7,3,6]=>[1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>{{1},{2,6,7},{3,5},{4}}=>[3,2,1,1]
[1,4,5,2,7,6,3]=>[1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>{{1},{2,6,7},{3,5},{4}}=>[3,2,1,1]
[1,4,5,3,2,6,7]=>[1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>{{1},{2,3,5},{4},{6},{7}}=>[3,1,1,1,1]
[1,4,5,3,2,7,6]=>[1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>{{1},{2,3,5},{4},{6,7}}=>[3,2,1,1]
[1,4,5,3,6,2,7]=>[1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>{{1},{2,6},{3,5},{4},{7}}=>[2,2,1,1,1]
[1,4,5,3,6,7,2]=>[1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>{{1},{2,7},{3,5},{4},{6}}=>[2,2,1,1,1]
[1,4,5,3,7,2,6]=>[1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>{{1},{2,6,7},{3,5},{4}}=>[3,2,1,1]
[1,4,5,3,7,6,2]=>[1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>{{1},{2,6,7},{3,5},{4}}=>[3,2,1,1]
[1,4,5,6,2,3,7]=>[1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>{{1},{2,3,6},{4},{5},{7}}=>[3,1,1,1,1]
[1,4,5,6,2,7,3]=>[1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>{{1},{2,7},{3,6},{4},{5}}=>[2,2,1,1,1]
[1,4,5,6,3,2,7]=>[1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>{{1},{2,3,6},{4},{5},{7}}=>[3,1,1,1,1]
[1,4,5,6,3,7,2]=>[1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>{{1},{2,7},{3,6},{4},{5}}=>[2,2,1,1,1]
[1,4,5,6,7,2,3]=>[1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>{{1},{2,3,7},{4},{5},{6}}=>[3,1,1,1,1]
[1,4,5,6,7,3,2]=>[1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>{{1},{2,3,7},{4},{5},{6}}=>[3,1,1,1,1]
[1,4,5,7,2,3,6]=>[1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>{{1},{2,3,6,7},{4},{5}}=>[4,1,1,1]
[1,4,5,7,2,6,3]=>[1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>{{1},{2,3,6,7},{4},{5}}=>[4,1,1,1]
[1,4,5,7,3,2,6]=>[1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>{{1},{2,3,6,7},{4},{5}}=>[4,1,1,1]
[1,4,5,7,3,6,2]=>[1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>{{1},{2,3,6,7},{4},{5}}=>[4,1,1,1]
[1,4,5,7,6,2,3]=>[1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>{{1},{2,3,6,7},{4},{5}}=>[4,1,1,1]
[1,4,5,7,6,3,2]=>[1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>{{1},{2,3,6,7},{4},{5}}=>[4,1,1,1]
[1,4,6,2,3,5,7]=>[1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>{{1},{2,3,5,6},{4},{7}}=>[4,1,1,1]
[1,4,6,2,3,7,5]=>[1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>{{1},{2,7},{3,5,6},{4}}=>[3,2,1,1]
[1,4,6,2,5,3,7]=>[1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>{{1},{2,3,5,6},{4},{7}}=>[4,1,1,1]
[1,4,6,2,5,7,3]=>[1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>{{1},{2,7},{3,5,6},{4}}=>[3,2,1,1]
[1,4,6,2,7,3,5]=>[1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>{{1},{2,3,7},{4},{5,6}}=>[3,2,1,1]
[1,4,6,2,7,5,3]=>[1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>{{1},{2,3,7},{4},{5,6}}=>[3,2,1,1]
[1,4,6,3,2,5,7]=>[1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>{{1},{2,3,5,6},{4},{7}}=>[4,1,1,1]
[1,4,6,3,2,7,5]=>[1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>{{1},{2,7},{3,5,6},{4}}=>[3,2,1,1]
[1,4,6,3,5,2,7]=>[1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>{{1},{2,3,5,6},{4},{7}}=>[4,1,1,1]
[1,4,6,3,5,7,2]=>[1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>{{1},{2,7},{3,5,6},{4}}=>[3,2,1,1]
[1,4,6,3,7,2,5]=>[1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>{{1},{2,3,7},{4},{5,6}}=>[3,2,1,1]
[1,4,6,3,7,5,2]=>[1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>{{1},{2,3,7},{4},{5,6}}=>[3,2,1,1]
[1,4,6,5,2,3,7]=>[1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>{{1},{2,3,5,6},{4},{7}}=>[4,1,1,1]
[1,4,6,5,2,7,3]=>[1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>{{1},{2,7},{3,5,6},{4}}=>[3,2,1,1]
[1,4,6,5,3,2,7]=>[1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>{{1},{2,3,5,6},{4},{7}}=>[4,1,1,1]
[1,4,6,5,3,7,2]=>[1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>{{1},{2,7},{3,5,6},{4}}=>[3,2,1,1]
[1,4,6,5,7,2,3]=>[1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>{{1},{2,3,7},{4},{5,6}}=>[3,2,1,1]
[1,4,6,5,7,3,2]=>[1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>{{1},{2,3,7},{4},{5,6}}=>[3,2,1,1]
[1,4,6,7,2,3,5]=>[1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>{{1},{2,3,5,7},{4},{6}}=>[4,1,1,1]
[1,4,6,7,2,5,3]=>[1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>{{1},{2,3,5,7},{4},{6}}=>[4,1,1,1]
[1,4,6,7,3,2,5]=>[1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>{{1},{2,3,5,7},{4},{6}}=>[4,1,1,1]
[1,4,6,7,3,5,2]=>[1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>{{1},{2,3,5,7},{4},{6}}=>[4,1,1,1]
[1,4,6,7,5,2,3]=>[1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>{{1},{2,3,5,7},{4},{6}}=>[4,1,1,1]
[1,4,6,7,5,3,2]=>[1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>{{1},{2,3,5,7},{4},{6}}=>[4,1,1,1]
[1,4,7,2,3,5,6]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>{{1},{2,3,5,6,7},{4}}=>[5,1,1]
[1,4,7,2,3,6,5]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>{{1},{2,3,5,6,7},{4}}=>[5,1,1]
[1,4,7,2,5,3,6]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>{{1},{2,3,5,6,7},{4}}=>[5,1,1]
[1,4,7,2,5,6,3]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>{{1},{2,3,5,6,7},{4}}=>[5,1,1]
[1,4,7,2,6,3,5]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>{{1},{2,3,5,6,7},{4}}=>[5,1,1]
[1,4,7,2,6,5,3]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>{{1},{2,3,5,6,7},{4}}=>[5,1,1]
[1,4,7,3,2,5,6]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>{{1},{2,3,5,6,7},{4}}=>[5,1,1]
[1,4,7,3,2,6,5]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>{{1},{2,3,5,6,7},{4}}=>[5,1,1]
[1,4,7,3,5,2,6]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>{{1},{2,3,5,6,7},{4}}=>[5,1,1]
[1,4,7,3,5,6,2]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>{{1},{2,3,5,6,7},{4}}=>[5,1,1]
[1,4,7,3,6,2,5]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>{{1},{2,3,5,6,7},{4}}=>[5,1,1]
[1,4,7,3,6,5,2]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>{{1},{2,3,5,6,7},{4}}=>[5,1,1]
[1,4,7,5,2,3,6]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>{{1},{2,3,5,6,7},{4}}=>[5,1,1]
[1,4,7,5,2,6,3]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>{{1},{2,3,5,6,7},{4}}=>[5,1,1]
[1,4,7,5,3,2,6]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>{{1},{2,3,5,6,7},{4}}=>[5,1,1]
[1,4,7,5,3,6,2]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>{{1},{2,3,5,6,7},{4}}=>[5,1,1]
[1,4,7,5,6,2,3]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>{{1},{2,3,5,6,7},{4}}=>[5,1,1]
[1,4,7,5,6,3,2]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>{{1},{2,3,5,6,7},{4}}=>[5,1,1]
[1,4,7,6,2,3,5]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>{{1},{2,3,5,6,7},{4}}=>[5,1,1]
[1,4,7,6,2,5,3]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>{{1},{2,3,5,6,7},{4}}=>[5,1,1]
[1,4,7,6,3,2,5]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>{{1},{2,3,5,6,7},{4}}=>[5,1,1]
[1,4,7,6,3,5,2]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>{{1},{2,3,5,6,7},{4}}=>[5,1,1]
[1,4,7,6,5,2,3]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>{{1},{2,3,5,6,7},{4}}=>[5,1,1]
[1,4,7,6,5,3,2]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>{{1},{2,3,5,6,7},{4}}=>[5,1,1]
[1,5,2,3,4,6,7]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>{{1},{2,3,4,5},{6},{7}}=>[4,1,1,1]
[1,5,2,3,4,7,6]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>{{1},{2,3,4,5},{6,7}}=>[4,2,1]
[1,5,2,3,6,4,7]=>[1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>{{1},{2,6},{3,4,5},{7}}=>[3,2,1,1]
[1,5,2,3,6,7,4]=>[1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>{{1},{2,7},{3,4,5},{6}}=>[3,2,1,1]
[1,5,2,3,7,4,6]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>{{1},{2,6,7},{3,4,5}}=>[3,3,1]
[1,5,2,3,7,6,4]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>{{1},{2,6,7},{3,4,5}}=>[3,3,1]
[1,5,2,4,3,6,7]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>{{1},{2,3,4,5},{6},{7}}=>[4,1,1,1]
[1,5,2,4,3,7,6]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>{{1},{2,3,4,5},{6,7}}=>[4,2,1]
[1,5,2,4,6,3,7]=>[1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>{{1},{2,6},{3,4,5},{7}}=>[3,2,1,1]
[1,5,2,4,6,7,3]=>[1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>{{1},{2,7},{3,4,5},{6}}=>[3,2,1,1]
[1,5,2,4,7,3,6]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>{{1},{2,6,7},{3,4,5}}=>[3,3,1]
[1,5,2,4,7,6,3]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>{{1},{2,6,7},{3,4,5}}=>[3,3,1]
[1,5,2,6,3,4,7]=>[1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>{{1},{2,3,6},{4,5},{7}}=>[3,2,1,1]
[1,5,2,6,3,7,4]=>[1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>{{1},{2,7},{3,6},{4,5}}=>[2,2,2,1]
[1,5,2,6,4,3,7]=>[1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>{{1},{2,3,6},{4,5},{7}}=>[3,2,1,1]
[1,5,2,6,4,7,3]=>[1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>{{1},{2,7},{3,6},{4,5}}=>[2,2,2,1]
[1,5,2,6,7,3,4]=>[1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>{{1},{2,3,7},{4,5},{6}}=>[3,2,1,1]
[1,5,2,6,7,4,3]=>[1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>{{1},{2,3,7},{4,5},{6}}=>[3,2,1,1]
[1,5,2,7,3,4,6]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>{{1},{2,3,6,7},{4,5}}=>[4,2,1]
[1,5,2,7,3,6,4]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>{{1},{2,3,6,7},{4,5}}=>[4,2,1]
[1,5,2,7,4,3,6]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>{{1},{2,3,6,7},{4,5}}=>[4,2,1]
[1,5,2,7,4,6,3]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>{{1},{2,3,6,7},{4,5}}=>[4,2,1]
[1,5,2,7,6,3,4]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>{{1},{2,3,6,7},{4,5}}=>[4,2,1]
[1,5,2,7,6,4,3]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>{{1},{2,3,6,7},{4,5}}=>[4,2,1]
[1,5,3,2,4,6,7]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>{{1},{2,3,4,5},{6},{7}}=>[4,1,1,1]
[1,5,3,2,4,7,6]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>{{1},{2,3,4,5},{6,7}}=>[4,2,1]
[1,5,3,2,6,4,7]=>[1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>{{1},{2,6},{3,4,5},{7}}=>[3,2,1,1]
[1,5,3,2,6,7,4]=>[1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>{{1},{2,7},{3,4,5},{6}}=>[3,2,1,1]
[1,5,3,2,7,4,6]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>{{1},{2,6,7},{3,4,5}}=>[3,3,1]
[1,5,3,2,7,6,4]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>{{1},{2,6,7},{3,4,5}}=>[3,3,1]
[1,5,3,4,2,6,7]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>{{1},{2,3,4,5},{6},{7}}=>[4,1,1,1]
[1,5,3,4,2,7,6]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>{{1},{2,3,4,5},{6,7}}=>[4,2,1]
[1,5,3,4,6,2,7]=>[1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>{{1},{2,6},{3,4,5},{7}}=>[3,2,1,1]
[1,5,3,4,6,7,2]=>[1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>{{1},{2,7},{3,4,5},{6}}=>[3,2,1,1]
[1,5,3,4,7,2,6]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>{{1},{2,6,7},{3,4,5}}=>[3,3,1]
[1,5,3,4,7,6,2]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>{{1},{2,6,7},{3,4,5}}=>[3,3,1]
[1,5,3,6,2,4,7]=>[1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>{{1},{2,3,6},{4,5},{7}}=>[3,2,1,1]
[1,5,3,6,2,7,4]=>[1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>{{1},{2,7},{3,6},{4,5}}=>[2,2,2,1]
[1,5,3,6,4,2,7]=>[1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>{{1},{2,3,6},{4,5},{7}}=>[3,2,1,1]
[1,5,3,6,4,7,2]=>[1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>{{1},{2,7},{3,6},{4,5}}=>[2,2,2,1]
[1,5,3,6,7,2,4]=>[1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>{{1},{2,3,7},{4,5},{6}}=>[3,2,1,1]
[1,5,3,6,7,4,2]=>[1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>{{1},{2,3,7},{4,5},{6}}=>[3,2,1,1]
[1,5,3,7,2,4,6]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>{{1},{2,3,6,7},{4,5}}=>[4,2,1]
[1,5,3,7,2,6,4]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>{{1},{2,3,6,7},{4,5}}=>[4,2,1]
[1,5,3,7,4,2,6]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>{{1},{2,3,6,7},{4,5}}=>[4,2,1]
[1,5,3,7,4,6,2]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>{{1},{2,3,6,7},{4,5}}=>[4,2,1]
[1,5,3,7,6,2,4]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>{{1},{2,3,6,7},{4,5}}=>[4,2,1]
[1,5,3,7,6,4,2]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>{{1},{2,3,6,7},{4,5}}=>[4,2,1]
[1,5,4,2,3,6,7]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>{{1},{2,3,4,5},{6},{7}}=>[4,1,1,1]
[1,5,4,2,3,7,6]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>{{1},{2,3,4,5},{6,7}}=>[4,2,1]
[1,5,4,2,6,3,7]=>[1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>{{1},{2,6},{3,4,5},{7}}=>[3,2,1,1]
[1,5,4,2,6,7,3]=>[1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>{{1},{2,7},{3,4,5},{6}}=>[3,2,1,1]
[1,5,4,2,7,3,6]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>{{1},{2,6,7},{3,4,5}}=>[3,3,1]
[1,5,4,2,7,6,3]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>{{1},{2,6,7},{3,4,5}}=>[3,3,1]
[1,5,4,3,2,6,7]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>{{1},{2,3,4,5},{6},{7}}=>[4,1,1,1]
[1,5,4,3,2,7,6]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>{{1},{2,3,4,5},{6,7}}=>[4,2,1]
[1,5,4,3,6,2,7]=>[1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>{{1},{2,6},{3,4,5},{7}}=>[3,2,1,1]
[1,5,4,3,6,7,2]=>[1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>{{1},{2,7},{3,4,5},{6}}=>[3,2,1,1]
[1,5,4,3,7,2,6]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>{{1},{2,6,7},{3,4,5}}=>[3,3,1]
[1,5,4,3,7,6,2]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>{{1},{2,6,7},{3,4,5}}=>[3,3,1]
[1,5,4,6,2,3,7]=>[1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>{{1},{2,3,6},{4,5},{7}}=>[3,2,1,1]
[1,5,4,6,2,7,3]=>[1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>{{1},{2,7},{3,6},{4,5}}=>[2,2,2,1]
[1,5,4,6,3,2,7]=>[1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>{{1},{2,3,6},{4,5},{7}}=>[3,2,1,1]
[1,5,4,6,3,7,2]=>[1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>{{1},{2,7},{3,6},{4,5}}=>[2,2,2,1]
[1,5,4,6,7,2,3]=>[1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>{{1},{2,3,7},{4,5},{6}}=>[3,2,1,1]
[1,5,4,6,7,3,2]=>[1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>{{1},{2,3,7},{4,5},{6}}=>[3,2,1,1]
[1,5,4,7,2,3,6]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>{{1},{2,3,6,7},{4,5}}=>[4,2,1]
[1,5,4,7,2,6,3]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>{{1},{2,3,6,7},{4,5}}=>[4,2,1]
[1,5,4,7,3,2,6]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>{{1},{2,3,6,7},{4,5}}=>[4,2,1]
[1,5,4,7,3,6,2]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>{{1},{2,3,6,7},{4,5}}=>[4,2,1]
[1,5,4,7,6,2,3]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>{{1},{2,3,6,7},{4,5}}=>[4,2,1]
[1,5,4,7,6,3,2]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>{{1},{2,3,6,7},{4,5}}=>[4,2,1]
[1,5,6,2,3,4,7]=>[1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>{{1},{2,3,4,6},{5},{7}}=>[4,1,1,1]
[1,5,6,2,3,7,4]=>[1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>{{1},{2,7},{3,4,6},{5}}=>[3,2,1,1]
[1,5,6,2,4,3,7]=>[1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>{{1},{2,3,4,6},{5},{7}}=>[4,1,1,1]
[1,5,6,2,4,7,3]=>[1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>{{1},{2,7},{3,4,6},{5}}=>[3,2,1,1]
[1,5,6,2,7,3,4]=>[1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>{{1},{2,3,7},{4,6},{5}}=>[3,2,1,1]
[1,5,6,2,7,4,3]=>[1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>{{1},{2,3,7},{4,6},{5}}=>[3,2,1,1]
[1,5,6,3,2,4,7]=>[1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>{{1},{2,3,4,6},{5},{7}}=>[4,1,1,1]
[1,5,6,3,2,7,4]=>[1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>{{1},{2,7},{3,4,6},{5}}=>[3,2,1,1]
[1,5,6,3,4,2,7]=>[1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>{{1},{2,3,4,6},{5},{7}}=>[4,1,1,1]
[1,5,6,3,4,7,2]=>[1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>{{1},{2,7},{3,4,6},{5}}=>[3,2,1,1]
[1,5,6,3,7,2,4]=>[1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>{{1},{2,3,7},{4,6},{5}}=>[3,2,1,1]
[1,5,6,3,7,4,2]=>[1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>{{1},{2,3,7},{4,6},{5}}=>[3,2,1,1]
[1,5,6,4,2,3,7]=>[1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>{{1},{2,3,4,6},{5},{7}}=>[4,1,1,1]
[1,5,6,4,2,7,3]=>[1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>{{1},{2,7},{3,4,6},{5}}=>[3,2,1,1]
[1,5,6,4,3,2,7]=>[1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>{{1},{2,3,4,6},{5},{7}}=>[4,1,1,1]
[1,5,6,4,3,7,2]=>[1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>{{1},{2,7},{3,4,6},{5}}=>[3,2,1,1]
[1,5,6,4,7,2,3]=>[1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>{{1},{2,3,7},{4,6},{5}}=>[3,2,1,1]
[1,5,6,4,7,3,2]=>[1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>{{1},{2,3,7},{4,6},{5}}=>[3,2,1,1]
[1,5,6,7,2,3,4]=>[1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>{{1},{2,3,4,7},{5},{6}}=>[4,1,1,1]
[1,5,6,7,2,4,3]=>[1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>{{1},{2,3,4,7},{5},{6}}=>[4,1,1,1]
[1,5,6,7,3,2,4]=>[1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>{{1},{2,3,4,7},{5},{6}}=>[4,1,1,1]
[1,5,6,7,3,4,2]=>[1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>{{1},{2,3,4,7},{5},{6}}=>[4,1,1,1]
[1,5,6,7,4,2,3]=>[1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>{{1},{2,3,4,7},{5},{6}}=>[4,1,1,1]
[1,5,6,7,4,3,2]=>[1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>{{1},{2,3,4,7},{5},{6}}=>[4,1,1,1]
[1,5,7,2,3,4,6]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>{{1},{2,3,4,6,7},{5}}=>[5,1,1]
[1,5,7,2,3,6,4]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>{{1},{2,3,4,6,7},{5}}=>[5,1,1]
[1,5,7,2,4,3,6]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>{{1},{2,3,4,6,7},{5}}=>[5,1,1]
[1,5,7,2,4,6,3]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>{{1},{2,3,4,6,7},{5}}=>[5,1,1]
[1,5,7,2,6,3,4]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>{{1},{2,3,4,6,7},{5}}=>[5,1,1]
[1,5,7,2,6,4,3]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>{{1},{2,3,4,6,7},{5}}=>[5,1,1]
[1,5,7,3,2,4,6]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>{{1},{2,3,4,6,7},{5}}=>[5,1,1]
[1,5,7,3,2,6,4]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>{{1},{2,3,4,6,7},{5}}=>[5,1,1]
[1,5,7,3,4,2,6]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>{{1},{2,3,4,6,7},{5}}=>[5,1,1]
[1,5,7,3,4,6,2]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>{{1},{2,3,4,6,7},{5}}=>[5,1,1]
[1,5,7,3,6,2,4]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>{{1},{2,3,4,6,7},{5}}=>[5,1,1]
[1,5,7,3,6,4,2]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>{{1},{2,3,4,6,7},{5}}=>[5,1,1]
[1,5,7,4,2,3,6]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>{{1},{2,3,4,6,7},{5}}=>[5,1,1]
[1,5,7,4,2,6,3]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>{{1},{2,3,4,6,7},{5}}=>[5,1,1]
[1,5,7,4,3,2,6]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>{{1},{2,3,4,6,7},{5}}=>[5,1,1]
[1,5,7,4,3,6,2]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>{{1},{2,3,4,6,7},{5}}=>[5,1,1]
[1,5,7,4,6,2,3]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>{{1},{2,3,4,6,7},{5}}=>[5,1,1]
[1,5,7,4,6,3,2]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>{{1},{2,3,4,6,7},{5}}=>[5,1,1]
[1,5,7,6,2,3,4]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>{{1},{2,3,4,6,7},{5}}=>[5,1,1]
[1,5,7,6,2,4,3]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>{{1},{2,3,4,6,7},{5}}=>[5,1,1]
[1,5,7,6,3,2,4]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>{{1},{2,3,4,6,7},{5}}=>[5,1,1]
[1,5,7,6,3,4,2]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>{{1},{2,3,4,6,7},{5}}=>[5,1,1]
[1,5,7,6,4,2,3]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>{{1},{2,3,4,6,7},{5}}=>[5,1,1]
[1,5,7,6,4,3,2]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>{{1},{2,3,4,6,7},{5}}=>[5,1,1]
[1,6,2,3,4,5,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>{{1},{2,3,4,5,6},{7}}=>[5,1,1]
[1,6,2,3,4,7,5]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>{{1},{2,7},{3,4,5,6}}=>[4,2,1]
[1,6,2,3,5,4,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>{{1},{2,3,4,5,6},{7}}=>[5,1,1]
[1,6,2,3,5,7,4]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>{{1},{2,7},{3,4,5,6}}=>[4,2,1]
[1,6,2,3,7,4,5]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>{{1},{2,3,7},{4,5,6}}=>[3,3,1]
[1,6,2,3,7,5,4]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>{{1},{2,3,7},{4,5,6}}=>[3,3,1]
[1,6,2,4,3,5,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>{{1},{2,3,4,5,6},{7}}=>[5,1,1]
[1,6,2,4,3,7,5]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>{{1},{2,7},{3,4,5,6}}=>[4,2,1]
[1,6,2,4,5,3,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>{{1},{2,3,4,5,6},{7}}=>[5,1,1]
[1,6,2,4,5,7,3]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>{{1},{2,7},{3,4,5,6}}=>[4,2,1]
[1,6,2,4,7,3,5]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>{{1},{2,3,7},{4,5,6}}=>[3,3,1]
[1,6,2,4,7,5,3]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>{{1},{2,3,7},{4,5,6}}=>[3,3,1]
[1,6,2,5,3,4,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>{{1},{2,3,4,5,6},{7}}=>[5,1,1]
[1,6,2,5,3,7,4]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>{{1},{2,7},{3,4,5,6}}=>[4,2,1]
[1,6,2,5,4,3,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>{{1},{2,3,4,5,6},{7}}=>[5,1,1]
[1,6,2,5,4,7,3]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>{{1},{2,7},{3,4,5,6}}=>[4,2,1]
[1,6,2,5,7,3,4]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>{{1},{2,3,7},{4,5,6}}=>[3,3,1]
[1,6,2,5,7,4,3]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>{{1},{2,3,7},{4,5,6}}=>[3,3,1]
[1,6,2,7,3,4,5]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>{{1},{2,3,4,7},{5,6}}=>[4,2,1]
[1,6,2,7,3,5,4]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>{{1},{2,3,4,7},{5,6}}=>[4,2,1]
[1,6,2,7,4,3,5]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>{{1},{2,3,4,7},{5,6}}=>[4,2,1]
[1,6,2,7,4,5,3]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>{{1},{2,3,4,7},{5,6}}=>[4,2,1]
[1,6,2,7,5,3,4]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>{{1},{2,3,4,7},{5,6}}=>[4,2,1]
[1,6,2,7,5,4,3]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>{{1},{2,3,4,7},{5,6}}=>[4,2,1]
[1,6,3,2,4,5,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>{{1},{2,3,4,5,6},{7}}=>[5,1,1]
[1,6,3,2,4,7,5]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>{{1},{2,7},{3,4,5,6}}=>[4,2,1]
[1,6,3,2,5,4,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>{{1},{2,3,4,5,6},{7}}=>[5,1,1]
[1,6,3,2,5,7,4]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>{{1},{2,7},{3,4,5,6}}=>[4,2,1]
[1,6,3,2,7,4,5]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>{{1},{2,3,7},{4,5,6}}=>[3,3,1]
[1,6,3,2,7,5,4]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>{{1},{2,3,7},{4,5,6}}=>[3,3,1]
[1,6,3,4,2,5,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>{{1},{2,3,4,5,6},{7}}=>[5,1,1]
[1,6,3,4,2,7,5]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>{{1},{2,7},{3,4,5,6}}=>[4,2,1]
[1,6,3,4,5,2,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>{{1},{2,3,4,5,6},{7}}=>[5,1,1]
[1,6,3,4,5,7,2]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>{{1},{2,7},{3,4,5,6}}=>[4,2,1]
[1,6,3,4,7,2,5]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>{{1},{2,3,7},{4,5,6}}=>[3,3,1]
[1,6,3,4,7,5,2]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>{{1},{2,3,7},{4,5,6}}=>[3,3,1]
[1,6,3,5,2,4,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>{{1},{2,3,4,5,6},{7}}=>[5,1,1]
[1,6,3,5,2,7,4]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>{{1},{2,7},{3,4,5,6}}=>[4,2,1]
[1,6,3,5,4,2,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>{{1},{2,3,4,5,6},{7}}=>[5,1,1]
[1,6,3,5,4,7,2]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>{{1},{2,7},{3,4,5,6}}=>[4,2,1]
[1,6,3,5,7,2,4]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>{{1},{2,3,7},{4,5,6}}=>[3,3,1]
[1,6,3,5,7,4,2]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>{{1},{2,3,7},{4,5,6}}=>[3,3,1]
[1,6,3,7,2,4,5]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>{{1},{2,3,4,7},{5,6}}=>[4,2,1]
[1,6,3,7,2,5,4]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>{{1},{2,3,4,7},{5,6}}=>[4,2,1]
[1,6,3,7,4,2,5]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>{{1},{2,3,4,7},{5,6}}=>[4,2,1]
[1,6,3,7,4,5,2]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>{{1},{2,3,4,7},{5,6}}=>[4,2,1]
[1,6,3,7,5,2,4]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>{{1},{2,3,4,7},{5,6}}=>[4,2,1]
[1,6,3,7,5,4,2]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>{{1},{2,3,4,7},{5,6}}=>[4,2,1]
[1,6,4,2,3,5,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>{{1},{2,3,4,5,6},{7}}=>[5,1,1]
[1,6,4,2,3,7,5]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>{{1},{2,7},{3,4,5,6}}=>[4,2,1]
[1,6,4,2,5,3,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>{{1},{2,3,4,5,6},{7}}=>[5,1,1]
[1,6,4,2,5,7,3]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>{{1},{2,7},{3,4,5,6}}=>[4,2,1]
[1,6,4,2,7,3,5]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>{{1},{2,3,7},{4,5,6}}=>[3,3,1]
[1,6,4,2,7,5,3]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>{{1},{2,3,7},{4,5,6}}=>[3,3,1]
[1,6,4,3,2,5,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>{{1},{2,3,4,5,6},{7}}=>[5,1,1]
[1,6,4,3,2,7,5]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>{{1},{2,7},{3,4,5,6}}=>[4,2,1]
[1,6,4,3,5,2,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>{{1},{2,3,4,5,6},{7}}=>[5,1,1]
[1,6,4,3,5,7,2]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>{{1},{2,7},{3,4,5,6}}=>[4,2,1]
[1,6,4,3,7,2,5]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>{{1},{2,3,7},{4,5,6}}=>[3,3,1]
[1,6,4,3,7,5,2]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>{{1},{2,3,7},{4,5,6}}=>[3,3,1]
[1,6,4,5,2,3,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>{{1},{2,3,4,5,6},{7}}=>[5,1,1]
[1,6,4,5,2,7,3]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>{{1},{2,7},{3,4,5,6}}=>[4,2,1]
[1,6,4,5,3,2,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>{{1},{2,3,4,5,6},{7}}=>[5,1,1]
[1,6,4,5,3,7,2]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>{{1},{2,7},{3,4,5,6}}=>[4,2,1]
[1,6,4,5,7,2,3]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>{{1},{2,3,7},{4,5,6}}=>[3,3,1]
[1,6,4,5,7,3,2]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>{{1},{2,3,7},{4,5,6}}=>[3,3,1]
[1,6,4,7,2,3,5]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>{{1},{2,3,4,7},{5,6}}=>[4,2,1]
[1,6,4,7,2,5,3]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>{{1},{2,3,4,7},{5,6}}=>[4,2,1]
[1,6,4,7,3,2,5]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>{{1},{2,3,4,7},{5,6}}=>[4,2,1]
[1,6,4,7,3,5,2]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>{{1},{2,3,4,7},{5,6}}=>[4,2,1]
[1,6,4,7,5,2,3]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>{{1},{2,3,4,7},{5,6}}=>[4,2,1]
[1,6,4,7,5,3,2]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>{{1},{2,3,4,7},{5,6}}=>[4,2,1]
[1,6,5,2,3,4,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>{{1},{2,3,4,5,6},{7}}=>[5,1,1]
[1,6,5,2,3,7,4]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>{{1},{2,7},{3,4,5,6}}=>[4,2,1]
[1,6,5,2,4,3,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>{{1},{2,3,4,5,6},{7}}=>[5,1,1]
[1,6,5,2,4,7,3]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>{{1},{2,7},{3,4,5,6}}=>[4,2,1]
[1,6,5,2,7,3,4]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>{{1},{2,3,7},{4,5,6}}=>[3,3,1]
[1,6,5,2,7,4,3]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>{{1},{2,3,7},{4,5,6}}=>[3,3,1]
[1,6,5,3,2,4,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>{{1},{2,3,4,5,6},{7}}=>[5,1,1]
[1,6,5,3,2,7,4]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>{{1},{2,7},{3,4,5,6}}=>[4,2,1]
[1,6,5,3,4,2,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>{{1},{2,3,4,5,6},{7}}=>[5,1,1]
[1,6,5,3,4,7,2]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>{{1},{2,7},{3,4,5,6}}=>[4,2,1]
[1,6,5,3,7,2,4]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>{{1},{2,3,7},{4,5,6}}=>[3,3,1]
[1,6,5,3,7,4,2]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>{{1},{2,3,7},{4,5,6}}=>[3,3,1]
[1,6,5,4,2,3,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>{{1},{2,3,4,5,6},{7}}=>[5,1,1]
[1,6,5,4,2,7,3]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>{{1},{2,7},{3,4,5,6}}=>[4,2,1]
[1,6,5,4,3,2,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>{{1},{2,3,4,5,6},{7}}=>[5,1,1]
[1,6,5,4,3,7,2]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>{{1},{2,7},{3,4,5,6}}=>[4,2,1]
[1,6,5,4,7,2,3]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>{{1},{2,3,7},{4,5,6}}=>[3,3,1]
[1,6,5,4,7,3,2]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>{{1},{2,3,7},{4,5,6}}=>[3,3,1]
[1,6,5,7,2,3,4]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>{{1},{2,3,4,7},{5,6}}=>[4,2,1]
[1,6,5,7,2,4,3]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>{{1},{2,3,4,7},{5,6}}=>[4,2,1]
[1,6,5,7,3,2,4]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>{{1},{2,3,4,7},{5,6}}=>[4,2,1]
[1,6,5,7,3,4,2]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>{{1},{2,3,4,7},{5,6}}=>[4,2,1]
[1,6,5,7,4,2,3]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>{{1},{2,3,4,7},{5,6}}=>[4,2,1]
[1,6,5,7,4,3,2]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>{{1},{2,3,4,7},{5,6}}=>[4,2,1]
[1,6,7,2,3,4,5]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>{{1},{2,3,4,5,7},{6}}=>[5,1,1]
[1,6,7,2,3,5,4]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>{{1},{2,3,4,5,7},{6}}=>[5,1,1]
[1,6,7,2,4,3,5]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>{{1},{2,3,4,5,7},{6}}=>[5,1,1]
[1,6,7,2,4,5,3]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>{{1},{2,3,4,5,7},{6}}=>[5,1,1]
[1,6,7,2,5,3,4]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>{{1},{2,3,4,5,7},{6}}=>[5,1,1]
[1,6,7,2,5,4,3]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>{{1},{2,3,4,5,7},{6}}=>[5,1,1]
[1,6,7,3,2,4,5]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>{{1},{2,3,4,5,7},{6}}=>[5,1,1]
[1,6,7,3,2,5,4]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>{{1},{2,3,4,5,7},{6}}=>[5,1,1]
[1,6,7,3,4,2,5]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>{{1},{2,3,4,5,7},{6}}=>[5,1,1]
[1,6,7,3,4,5,2]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>{{1},{2,3,4,5,7},{6}}=>[5,1,1]
[1,6,7,3,5,2,4]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>{{1},{2,3,4,5,7},{6}}=>[5,1,1]
[1,6,7,3,5,4,2]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>{{1},{2,3,4,5,7},{6}}=>[5,1,1]
[1,6,7,4,2,3,5]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>{{1},{2,3,4,5,7},{6}}=>[5,1,1]
[1,6,7,4,2,5,3]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>{{1},{2,3,4,5,7},{6}}=>[5,1,1]
[1,6,7,4,3,2,5]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>{{1},{2,3,4,5,7},{6}}=>[5,1,1]
[1,6,7,4,3,5,2]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>{{1},{2,3,4,5,7},{6}}=>[5,1,1]
[1,6,7,4,5,2,3]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>{{1},{2,3,4,5,7},{6}}=>[5,1,1]
[1,6,7,4,5,3,2]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>{{1},{2,3,4,5,7},{6}}=>[5,1,1]
[1,6,7,5,2,3,4]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>{{1},{2,3,4,5,7},{6}}=>[5,1,1]
[1,6,7,5,2,4,3]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>{{1},{2,3,4,5,7},{6}}=>[5,1,1]
[1,6,7,5,3,2,4]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>{{1},{2,3,4,5,7},{6}}=>[5,1,1]
[1,6,7,5,3,4,2]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>{{1},{2,3,4,5,7},{6}}=>[5,1,1]
[1,6,7,5,4,2,3]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>{{1},{2,3,4,5,7},{6}}=>[5,1,1]
[1,6,7,5,4,3,2]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>{{1},{2,3,4,5,7},{6}}=>[5,1,1]
[1,7,2,3,4,5,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1},{2,3,4,5,6,7}}=>[6,1]
[1,7,2,3,4,6,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1},{2,3,4,5,6,7}}=>[6,1]
[1,7,2,3,5,4,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1},{2,3,4,5,6,7}}=>[6,1]
[1,7,2,3,5,6,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1},{2,3,4,5,6,7}}=>[6,1]
[1,7,2,3,6,4,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1},{2,3,4,5,6,7}}=>[6,1]
[1,7,2,3,6,5,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1},{2,3,4,5,6,7}}=>[6,1]
[1,7,2,4,3,5,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1},{2,3,4,5,6,7}}=>[6,1]
[1,7,2,4,3,6,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1},{2,3,4,5,6,7}}=>[6,1]
[1,7,2,4,5,3,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1},{2,3,4,5,6,7}}=>[6,1]
[1,7,2,4,5,6,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1},{2,3,4,5,6,7}}=>[6,1]
[1,7,2,4,6,3,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1},{2,3,4,5,6,7}}=>[6,1]
[1,7,2,4,6,5,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1},{2,3,4,5,6,7}}=>[6,1]
[1,7,2,5,3,4,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1},{2,3,4,5,6,7}}=>[6,1]
[1,7,2,5,3,6,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1},{2,3,4,5,6,7}}=>[6,1]
[1,7,2,5,4,3,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1},{2,3,4,5,6,7}}=>[6,1]
[1,7,2,5,4,6,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1},{2,3,4,5,6,7}}=>[6,1]
[1,7,2,5,6,3,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1},{2,3,4,5,6,7}}=>[6,1]
[1,7,2,5,6,4,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1},{2,3,4,5,6,7}}=>[6,1]
[1,7,2,6,3,4,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1},{2,3,4,5,6,7}}=>[6,1]
[1,7,2,6,3,5,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1},{2,3,4,5,6,7}}=>[6,1]
[1,7,2,6,4,3,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1},{2,3,4,5,6,7}}=>[6,1]
[1,7,2,6,4,5,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1},{2,3,4,5,6,7}}=>[6,1]
[1,7,2,6,5,3,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1},{2,3,4,5,6,7}}=>[6,1]
[1,7,2,6,5,4,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1},{2,3,4,5,6,7}}=>[6,1]
[1,7,3,2,4,5,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1},{2,3,4,5,6,7}}=>[6,1]
[1,7,3,2,4,6,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1},{2,3,4,5,6,7}}=>[6,1]
[1,7,3,2,5,4,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1},{2,3,4,5,6,7}}=>[6,1]
[1,7,3,2,5,6,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1},{2,3,4,5,6,7}}=>[6,1]
[1,7,3,2,6,4,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1},{2,3,4,5,6,7}}=>[6,1]
[1,7,3,2,6,5,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1},{2,3,4,5,6,7}}=>[6,1]
[1,7,3,4,2,5,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1},{2,3,4,5,6,7}}=>[6,1]
[1,7,3,4,2,6,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1},{2,3,4,5,6,7}}=>[6,1]
[1,7,3,4,5,2,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1},{2,3,4,5,6,7}}=>[6,1]
[1,7,3,4,5,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1},{2,3,4,5,6,7}}=>[6,1]
[1,7,3,4,6,2,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1},{2,3,4,5,6,7}}=>[6,1]
[1,7,3,4,6,5,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1},{2,3,4,5,6,7}}=>[6,1]
[1,7,3,5,2,4,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1},{2,3,4,5,6,7}}=>[6,1]
[1,7,3,5,2,6,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1},{2,3,4,5,6,7}}=>[6,1]
[1,7,3,5,4,2,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1},{2,3,4,5,6,7}}=>[6,1]
[1,7,3,5,4,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1},{2,3,4,5,6,7}}=>[6,1]
[1,7,3,5,6,2,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1},{2,3,4,5,6,7}}=>[6,1]
[1,7,3,5,6,4,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1},{2,3,4,5,6,7}}=>[6,1]
[1,7,3,6,2,4,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1},{2,3,4,5,6,7}}=>[6,1]
[1,7,3,6,2,5,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1},{2,3,4,5,6,7}}=>[6,1]
[1,7,3,6,4,2,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1},{2,3,4,5,6,7}}=>[6,1]
[1,7,3,6,4,5,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1},{2,3,4,5,6,7}}=>[6,1]
[1,7,3,6,5,2,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1},{2,3,4,5,6,7}}=>[6,1]
[1,7,3,6,5,4,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1},{2,3,4,5,6,7}}=>[6,1]
[1,7,4,2,3,5,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1},{2,3,4,5,6,7}}=>[6,1]
[1,7,4,2,3,6,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1},{2,3,4,5,6,7}}=>[6,1]
[1,7,4,2,5,3,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1},{2,3,4,5,6,7}}=>[6,1]
[1,7,4,2,5,6,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1},{2,3,4,5,6,7}}=>[6,1]
[1,7,4,2,6,3,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1},{2,3,4,5,6,7}}=>[6,1]
[1,7,4,2,6,5,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1},{2,3,4,5,6,7}}=>[6,1]
[1,7,4,3,2,5,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1},{2,3,4,5,6,7}}=>[6,1]
[1,7,4,3,2,6,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1},{2,3,4,5,6,7}}=>[6,1]
[1,7,4,3,5,2,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1},{2,3,4,5,6,7}}=>[6,1]
[1,7,4,3,5,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1},{2,3,4,5,6,7}}=>[6,1]
[1,7,4,3,6,2,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1},{2,3,4,5,6,7}}=>[6,1]
[1,7,4,3,6,5,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1},{2,3,4,5,6,7}}=>[6,1]
[1,7,4,5,2,3,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1},{2,3,4,5,6,7}}=>[6,1]
[1,7,4,5,2,6,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1},{2,3,4,5,6,7}}=>[6,1]
[1,7,4,5,3,2,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1},{2,3,4,5,6,7}}=>[6,1]
[1,7,4,5,3,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1},{2,3,4,5,6,7}}=>[6,1]
[1,7,4,5,6,2,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1},{2,3,4,5,6,7}}=>[6,1]
[1,7,4,5,6,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1},{2,3,4,5,6,7}}=>[6,1]
[1,7,4,6,2,3,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1},{2,3,4,5,6,7}}=>[6,1]
[1,7,4,6,2,5,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1},{2,3,4,5,6,7}}=>[6,1]
[1,7,4,6,3,2,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1},{2,3,4,5,6,7}}=>[6,1]
[1,7,4,6,3,5,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1},{2,3,4,5,6,7}}=>[6,1]
[1,7,4,6,5,2,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1},{2,3,4,5,6,7}}=>[6,1]
[1,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1},{2,3,4,5,6,7}}=>[6,1]
[1,7,5,2,3,4,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1},{2,3,4,5,6,7}}=>[6,1]
[1,7,5,2,3,6,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1},{2,3,4,5,6,7}}=>[6,1]
[1,7,5,2,4,3,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1},{2,3,4,5,6,7}}=>[6,1]
[1,7,5,2,4,6,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1},{2,3,4,5,6,7}}=>[6,1]
[1,7,5,2,6,3,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1},{2,3,4,5,6,7}}=>[6,1]
[1,7,5,2,6,4,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1},{2,3,4,5,6,7}}=>[6,1]
[1,7,5,3,2,4,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1},{2,3,4,5,6,7}}=>[6,1]
[1,7,5,3,2,6,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1},{2,3,4,5,6,7}}=>[6,1]
[1,7,5,3,4,2,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1},{2,3,4,5,6,7}}=>[6,1]
[1,7,5,3,4,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1},{2,3,4,5,6,7}}=>[6,1]
[1,7,5,3,6,2,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1},{2,3,4,5,6,7}}=>[6,1]
[1,7,5,3,6,4,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1},{2,3,4,5,6,7}}=>[6,1]
[1,7,5,4,2,3,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1},{2,3,4,5,6,7}}=>[6,1]
[1,7,5,4,2,6,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1},{2,3,4,5,6,7}}=>[6,1]
[1,7,5,4,3,2,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1},{2,3,4,5,6,7}}=>[6,1]
[1,7,5,4,3,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1},{2,3,4,5,6,7}}=>[6,1]
[1,7,5,4,6,2,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1},{2,3,4,5,6,7}}=>[6,1]
[1,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1},{2,3,4,5,6,7}}=>[6,1]
[1,7,5,6,2,3,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1},{2,3,4,5,6,7}}=>[6,1]
[1,7,5,6,2,4,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1},{2,3,4,5,6,7}}=>[6,1]
[1,7,5,6,3,2,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1},{2,3,4,5,6,7}}=>[6,1]
[1,7,5,6,3,4,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1},{2,3,4,5,6,7}}=>[6,1]
[1,7,5,6,4,2,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1},{2,3,4,5,6,7}}=>[6,1]
[1,7,5,6,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1},{2,3,4,5,6,7}}=>[6,1]
[1,7,6,2,3,4,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1},{2,3,4,5,6,7}}=>[6,1]
[1,7,6,2,3,5,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1},{2,3,4,5,6,7}}=>[6,1]
[1,7,6,2,4,3,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1},{2,3,4,5,6,7}}=>[6,1]
[1,7,6,2,4,5,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1},{2,3,4,5,6,7}}=>[6,1]
[1,7,6,2,5,3,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1},{2,3,4,5,6,7}}=>[6,1]
[1,7,6,2,5,4,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1},{2,3,4,5,6,7}}=>[6,1]
[1,7,6,3,2,4,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1},{2,3,4,5,6,7}}=>[6,1]
[1,7,6,3,2,5,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1},{2,3,4,5,6,7}}=>[6,1]
[1,7,6,3,4,2,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1},{2,3,4,5,6,7}}=>[6,1]
[1,7,6,3,4,5,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1},{2,3,4,5,6,7}}=>[6,1]
[1,7,6,3,5,2,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1},{2,3,4,5,6,7}}=>[6,1]
[1,7,6,3,5,4,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1},{2,3,4,5,6,7}}=>[6,1]
[1,7,6,4,2,3,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1},{2,3,4,5,6,7}}=>[6,1]
[1,7,6,4,2,5,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1},{2,3,4,5,6,7}}=>[6,1]
[1,7,6,4,3,2,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1},{2,3,4,5,6,7}}=>[6,1]
[1,7,6,4,3,5,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1},{2,3,4,5,6,7}}=>[6,1]
[1,7,6,4,5,2,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1},{2,3,4,5,6,7}}=>[6,1]
[1,7,6,4,5,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1},{2,3,4,5,6,7}}=>[6,1]
[1,7,6,5,2,3,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1},{2,3,4,5,6,7}}=>[6,1]
[1,7,6,5,2,4,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1},{2,3,4,5,6,7}}=>[6,1]
[1,7,6,5,3,2,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1},{2,3,4,5,6,7}}=>[6,1]
[1,7,6,5,3,4,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1},{2,3,4,5,6,7}}=>[6,1]
[1,7,6,5,4,2,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1},{2,3,4,5,6,7}}=>[6,1]
[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1},{2,3,4,5,6,7}}=>[6,1]
[2,1,3,4,5,6,7]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>{{1,2},{3},{4},{5},{6},{7}}=>[2,1,1,1,1,1]
[2,1,3,4,5,7,6]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>{{1,2},{3},{4},{5},{6,7}}=>[2,2,1,1,1]
[2,1,3,4,6,5,7]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>{{1,2},{3},{4},{5,6},{7}}=>[2,2,1,1,1]
[2,1,3,4,6,7,5]=>[1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>{{1,2},{3},{4},{5,7},{6}}=>[2,2,1,1,1]
[2,1,3,4,7,5,6]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>{{1,2},{3},{4},{5,6,7}}=>[3,2,1,1]
[2,1,3,4,7,6,5]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>{{1,2},{3},{4},{5,6,7}}=>[3,2,1,1]
[2,1,3,5,4,6,7]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>{{1,2},{3},{4,5},{6},{7}}=>[2,2,1,1,1]
[2,1,3,5,4,7,6]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>{{1,2},{3},{4,5},{6,7}}=>[2,2,2,1]
[2,1,3,5,6,4,7]=>[1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>{{1,2},{3},{4,6},{5},{7}}=>[2,2,1,1,1]
[2,1,3,5,6,7,4]=>[1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>{{1,2},{3},{4,7},{5},{6}}=>[2,2,1,1,1]
[2,1,3,5,7,4,6]=>[1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>{{1,2},{3},{4,6,7},{5}}=>[3,2,1,1]
[2,1,3,5,7,6,4]=>[1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>{{1,2},{3},{4,6,7},{5}}=>[3,2,1,1]
[2,1,3,6,4,5,7]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>{{1,2},{3},{4,5,6},{7}}=>[3,2,1,1]
[2,1,3,6,4,7,5]=>[1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>{{1,2},{3},{4,7},{5,6}}=>[2,2,2,1]
[2,1,3,6,5,4,7]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>{{1,2},{3},{4,5,6},{7}}=>[3,2,1,1]
[2,1,3,6,5,7,4]=>[1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>{{1,2},{3},{4,7},{5,6}}=>[2,2,2,1]
[2,1,3,6,7,4,5]=>[1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>{{1,2},{3},{4,5,7},{6}}=>[3,2,1,1]
[2,1,3,6,7,5,4]=>[1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>{{1,2},{3},{4,5,7},{6}}=>[3,2,1,1]
[2,1,3,7,4,5,6]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>{{1,2},{3},{4,5,6,7}}=>[4,2,1]
[2,1,3,7,4,6,5]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>{{1,2},{3},{4,5,6,7}}=>[4,2,1]
[2,1,3,7,5,4,6]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>{{1,2},{3},{4,5,6,7}}=>[4,2,1]
[2,1,3,7,5,6,4]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>{{1,2},{3},{4,5,6,7}}=>[4,2,1]
[2,1,3,7,6,4,5]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>{{1,2},{3},{4,5,6,7}}=>[4,2,1]
[2,1,3,7,6,5,4]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>{{1,2},{3},{4,5,6,7}}=>[4,2,1]
[2,1,4,3,5,6,7]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>{{1,2},{3,4},{5},{6},{7}}=>[2,2,1,1,1]
[2,1,4,3,5,7,6]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>{{1,2},{3,4},{5},{6,7}}=>[2,2,2,1]
[2,1,4,3,6,5,7]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>{{1,2},{3,4},{5,6},{7}}=>[2,2,2,1]
[2,1,4,3,6,7,5]=>[1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>{{1,2},{3,4},{5,7},{6}}=>[2,2,2,1]
[2,1,4,3,7,5,6]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>{{1,2},{3,4},{5,6,7}}=>[3,2,2]
[2,1,4,3,7,6,5]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>{{1,2},{3,4},{5,6,7}}=>[3,2,2]
[2,1,4,5,3,6,7]=>[1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>{{1,2},{3,5},{4},{6},{7}}=>[2,2,1,1,1]
[2,1,4,5,3,7,6]=>[1,1,0,0,1,1,0,1,0,0,1,1,0,0]=>{{1,2},{3,5},{4},{6,7}}=>[2,2,2,1]
[2,1,4,5,6,3,7]=>[1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>{{1,2},{3,6},{4},{5},{7}}=>[2,2,1,1,1]
[2,1,4,5,6,7,3]=>[1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>{{1,2},{3,7},{4},{5},{6}}=>[2,2,1,1,1]
[2,1,4,5,7,3,6]=>[1,1,0,0,1,1,0,1,0,1,1,0,0,0]=>{{1,2},{3,6,7},{4},{5}}=>[3,2,1,1]
[2,1,4,5,7,6,3]=>[1,1,0,0,1,1,0,1,0,1,1,0,0,0]=>{{1,2},{3,6,7},{4},{5}}=>[3,2,1,1]
[2,1,4,6,3,5,7]=>[1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>{{1,2},{3,5,6},{4},{7}}=>[3,2,1,1]
[2,1,4,6,3,7,5]=>[1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>{{1,2},{3,7},{4},{5,6}}=>[2,2,2,1]
[2,1,4,6,5,3,7]=>[1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>{{1,2},{3,5,6},{4},{7}}=>[3,2,1,1]
[2,1,4,6,5,7,3]=>[1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>{{1,2},{3,7},{4},{5,6}}=>[2,2,2,1]
[2,1,4,6,7,3,5]=>[1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>{{1,2},{3,5,7},{4},{6}}=>[3,2,1,1]
[2,1,4,6,7,5,3]=>[1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>{{1,2},{3,5,7},{4},{6}}=>[3,2,1,1]
[2,1,4,7,3,5,6]=>[1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>{{1,2},{3,5,6,7},{4}}=>[4,2,1]
[2,1,4,7,3,6,5]=>[1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>{{1,2},{3,5,6,7},{4}}=>[4,2,1]
[2,1,4,7,5,3,6]=>[1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>{{1,2},{3,5,6,7},{4}}=>[4,2,1]
[2,1,4,7,5,6,3]=>[1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>{{1,2},{3,5,6,7},{4}}=>[4,2,1]
[2,1,4,7,6,3,5]=>[1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>{{1,2},{3,5,6,7},{4}}=>[4,2,1]
[2,1,4,7,6,5,3]=>[1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>{{1,2},{3,5,6,7},{4}}=>[4,2,1]
[2,1,5,3,4,6,7]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>{{1,2},{3,4,5},{6},{7}}=>[3,2,1,1]
[2,1,5,3,4,7,6]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>{{1,2},{3,4,5},{6,7}}=>[3,2,2]
[2,1,5,3,6,4,7]=>[1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>{{1,2},{3,6},{4,5},{7}}=>[2,2,2,1]
[2,1,5,3,6,7,4]=>[1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>{{1,2},{3,7},{4,5},{6}}=>[2,2,2,1]
[2,1,5,3,7,4,6]=>[1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>{{1,2},{3,6,7},{4,5}}=>[3,2,2]
[2,1,5,3,7,6,4]=>[1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>{{1,2},{3,6,7},{4,5}}=>[3,2,2]
[2,1,5,4,3,6,7]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>{{1,2},{3,4,5},{6},{7}}=>[3,2,1,1]
[2,1,5,4,3,7,6]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>{{1,2},{3,4,5},{6,7}}=>[3,2,2]
[2,1,5,4,6,3,7]=>[1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>{{1,2},{3,6},{4,5},{7}}=>[2,2,2,1]
[2,1,5,4,6,7,3]=>[1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>{{1,2},{3,7},{4,5},{6}}=>[2,2,2,1]
[2,1,5,4,7,3,6]=>[1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>{{1,2},{3,6,7},{4,5}}=>[3,2,2]
[2,1,5,4,7,6,3]=>[1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>{{1,2},{3,6,7},{4,5}}=>[3,2,2]
[2,1,5,6,3,4,7]=>[1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>{{1,2},{3,4,6},{5},{7}}=>[3,2,1,1]
[2,1,5,6,3,7,4]=>[1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>{{1,2},{3,7},{4,6},{5}}=>[2,2,2,1]
[2,1,5,6,4,3,7]=>[1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>{{1,2},{3,4,6},{5},{7}}=>[3,2,1,1]
[2,1,5,6,4,7,3]=>[1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>{{1,2},{3,7},{4,6},{5}}=>[2,2,2,1]
[2,1,5,6,7,3,4]=>[1,1,0,0,1,1,1,0,1,0,1,0,0,0]=>{{1,2},{3,4,7},{5},{6}}=>[3,2,1,1]
[2,1,5,6,7,4,3]=>[1,1,0,0,1,1,1,0,1,0,1,0,0,0]=>{{1,2},{3,4,7},{5},{6}}=>[3,2,1,1]
[2,1,5,7,3,4,6]=>[1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>{{1,2},{3,4,6,7},{5}}=>[4,2,1]
[2,1,5,7,3,6,4]=>[1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>{{1,2},{3,4,6,7},{5}}=>[4,2,1]
[2,1,5,7,4,3,6]=>[1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>{{1,2},{3,4,6,7},{5}}=>[4,2,1]
[2,1,5,7,4,6,3]=>[1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>{{1,2},{3,4,6,7},{5}}=>[4,2,1]
[2,1,5,7,6,3,4]=>[1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>{{1,2},{3,4,6,7},{5}}=>[4,2,1]
[2,1,5,7,6,4,3]=>[1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>{{1,2},{3,4,6,7},{5}}=>[4,2,1]
[2,1,6,3,4,5,7]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>{{1,2},{3,4,5,6},{7}}=>[4,2,1]
[2,1,6,3,4,7,5]=>[1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>{{1,2},{3,7},{4,5,6}}=>[3,2,2]
[2,1,6,3,5,4,7]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>{{1,2},{3,4,5,6},{7}}=>[4,2,1]
[2,1,6,3,5,7,4]=>[1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>{{1,2},{3,7},{4,5,6}}=>[3,2,2]
[2,1,6,3,7,4,5]=>[1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>{{1,2},{3,4,7},{5,6}}=>[3,2,2]
[2,1,6,3,7,5,4]=>[1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>{{1,2},{3,4,7},{5,6}}=>[3,2,2]
[2,1,6,4,3,5,7]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>{{1,2},{3,4,5,6},{7}}=>[4,2,1]
[2,1,6,4,3,7,5]=>[1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>{{1,2},{3,7},{4,5,6}}=>[3,2,2]
[2,1,6,4,5,3,7]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>{{1,2},{3,4,5,6},{7}}=>[4,2,1]
[2,1,6,4,5,7,3]=>[1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>{{1,2},{3,7},{4,5,6}}=>[3,2,2]
[2,1,6,4,7,3,5]=>[1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>{{1,2},{3,4,7},{5,6}}=>[3,2,2]
[2,1,6,4,7,5,3]=>[1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>{{1,2},{3,4,7},{5,6}}=>[3,2,2]
[2,1,6,5,3,4,7]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>{{1,2},{3,4,5,6},{7}}=>[4,2,1]
[2,1,6,5,3,7,4]=>[1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>{{1,2},{3,7},{4,5,6}}=>[3,2,2]
[2,1,6,5,4,3,7]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>{{1,2},{3,4,5,6},{7}}=>[4,2,1]
[2,1,6,5,4,7,3]=>[1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>{{1,2},{3,7},{4,5,6}}=>[3,2,2]
[2,1,6,5,7,3,4]=>[1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>{{1,2},{3,4,7},{5,6}}=>[3,2,2]
[2,1,6,5,7,4,3]=>[1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>{{1,2},{3,4,7},{5,6}}=>[3,2,2]
[2,1,6,7,3,4,5]=>[1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>{{1,2},{3,4,5,7},{6}}=>[4,2,1]
[2,1,6,7,3,5,4]=>[1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>{{1,2},{3,4,5,7},{6}}=>[4,2,1]
[2,1,6,7,4,3,5]=>[1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>{{1,2},{3,4,5,7},{6}}=>[4,2,1]
[2,1,6,7,4,5,3]=>[1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>{{1,2},{3,4,5,7},{6}}=>[4,2,1]
[2,1,6,7,5,3,4]=>[1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>{{1,2},{3,4,5,7},{6}}=>[4,2,1]
[2,1,6,7,5,4,3]=>[1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>{{1,2},{3,4,5,7},{6}}=>[4,2,1]
[2,1,7,3,4,5,6]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>{{1,2},{3,4,5,6,7}}=>[5,2]
[2,1,7,3,4,6,5]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>{{1,2},{3,4,5,6,7}}=>[5,2]
[2,1,7,3,5,4,6]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>{{1,2},{3,4,5,6,7}}=>[5,2]
[2,1,7,3,5,6,4]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>{{1,2},{3,4,5,6,7}}=>[5,2]
[2,1,7,3,6,4,5]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>{{1,2},{3,4,5,6,7}}=>[5,2]
[2,1,7,3,6,5,4]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>{{1,2},{3,4,5,6,7}}=>[5,2]
[2,1,7,4,3,5,6]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>{{1,2},{3,4,5,6,7}}=>[5,2]
[2,1,7,4,3,6,5]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>{{1,2},{3,4,5,6,7}}=>[5,2]
[2,1,7,4,5,3,6]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>{{1,2},{3,4,5,6,7}}=>[5,2]
[2,1,7,4,5,6,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>{{1,2},{3,4,5,6,7}}=>[5,2]
[2,1,7,4,6,3,5]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>{{1,2},{3,4,5,6,7}}=>[5,2]
[2,1,7,4,6,5,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>{{1,2},{3,4,5,6,7}}=>[5,2]
[2,1,7,5,3,4,6]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>{{1,2},{3,4,5,6,7}}=>[5,2]
[2,1,7,5,3,6,4]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>{{1,2},{3,4,5,6,7}}=>[5,2]
[2,1,7,5,4,3,6]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>{{1,2},{3,4,5,6,7}}=>[5,2]
[2,1,7,5,4,6,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>{{1,2},{3,4,5,6,7}}=>[5,2]
[2,1,7,5,6,3,4]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>{{1,2},{3,4,5,6,7}}=>[5,2]
[2,1,7,5,6,4,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>{{1,2},{3,4,5,6,7}}=>[5,2]
[2,1,7,6,3,4,5]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>{{1,2},{3,4,5,6,7}}=>[5,2]
[2,1,7,6,3,5,4]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>{{1,2},{3,4,5,6,7}}=>[5,2]
[2,1,7,6,4,3,5]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>{{1,2},{3,4,5,6,7}}=>[5,2]
[2,1,7,6,4,5,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>{{1,2},{3,4,5,6,7}}=>[5,2]
[2,1,7,6,5,3,4]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>{{1,2},{3,4,5,6,7}}=>[5,2]
[2,1,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>{{1,2},{3,4,5,6,7}}=>[5,2]
[2,3,1,4,5,6,7]=>[1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>{{1,3},{2},{4},{5},{6},{7}}=>[2,1,1,1,1,1]
[2,3,1,4,5,7,6]=>[1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>{{1,3},{2},{4},{5},{6,7}}=>[2,2,1,1,1]
[2,3,1,4,6,5,7]=>[1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>{{1,3},{2},{4},{5,6},{7}}=>[2,2,1,1,1]
[2,3,1,4,6,7,5]=>[1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>{{1,3},{2},{4},{5,7},{6}}=>[2,2,1,1,1]
[2,3,1,4,7,5,6]=>[1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>{{1,3},{2},{4},{5,6,7}}=>[3,2,1,1]
[2,3,1,4,7,6,5]=>[1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>{{1,3},{2},{4},{5,6,7}}=>[3,2,1,1]
[2,3,1,5,4,6,7]=>[1,1,0,1,0,0,1,1,0,0,1,0,1,0]=>{{1,3},{2},{4,5},{6},{7}}=>[2,2,1,1,1]
[2,3,1,5,4,7,6]=>[1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>{{1,3},{2},{4,5},{6,7}}=>[2,2,2,1]
[2,3,1,5,6,4,7]=>[1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>{{1,3},{2},{4,6},{5},{7}}=>[2,2,1,1,1]
[2,3,1,5,6,7,4]=>[1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>{{1,3},{2},{4,7},{5},{6}}=>[2,2,1,1,1]
[2,3,1,5,7,4,6]=>[1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>{{1,3},{2},{4,6,7},{5}}=>[3,2,1,1]
[2,3,1,5,7,6,4]=>[1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>{{1,3},{2},{4,6,7},{5}}=>[3,2,1,1]
[2,3,1,6,4,5,7]=>[1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>{{1,3},{2},{4,5,6},{7}}=>[3,2,1,1]
[2,3,1,6,4,7,5]=>[1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>{{1,3},{2},{4,7},{5,6}}=>[2,2,2,1]
[2,3,1,6,5,4,7]=>[1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>{{1,3},{2},{4,5,6},{7}}=>[3,2,1,1]
[2,3,1,6,5,7,4]=>[1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>{{1,3},{2},{4,7},{5,6}}=>[2,2,2,1]
[2,3,1,6,7,4,5]=>[1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>{{1,3},{2},{4,5,7},{6}}=>[3,2,1,1]
[2,3,1,6,7,5,4]=>[1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>{{1,3},{2},{4,5,7},{6}}=>[3,2,1,1]
[2,3,1,7,4,5,6]=>[1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>{{1,3},{2},{4,5,6,7}}=>[4,2,1]
[2,3,1,7,4,6,5]=>[1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>{{1,3},{2},{4,5,6,7}}=>[4,2,1]
[2,3,1,7,5,4,6]=>[1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>{{1,3},{2},{4,5,6,7}}=>[4,2,1]
[2,3,1,7,5,6,4]=>[1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>{{1,3},{2},{4,5,6,7}}=>[4,2,1]
[2,3,1,7,6,4,5]=>[1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>{{1,3},{2},{4,5,6,7}}=>[4,2,1]
[2,3,1,7,6,5,4]=>[1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>{{1,3},{2},{4,5,6,7}}=>[4,2,1]
[2,3,4,1,5,6,7]=>[1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>{{1,4},{2},{3},{5},{6},{7}}=>[2,1,1,1,1,1]
[2,3,4,1,5,7,6]=>[1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>{{1,4},{2},{3},{5},{6,7}}=>[2,2,1,1,1]
[2,3,4,1,6,5,7]=>[1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>{{1,4},{2},{3},{5,6},{7}}=>[2,2,1,1,1]
[2,3,4,1,6,7,5]=>[1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>{{1,4},{2},{3},{5,7},{6}}=>[2,2,1,1,1]
[2,3,4,1,7,5,6]=>[1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>{{1,4},{2},{3},{5,6,7}}=>[3,2,1,1]
[2,3,4,1,7,6,5]=>[1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>{{1,4},{2},{3},{5,6,7}}=>[3,2,1,1]
[2,3,4,5,1,6,7]=>[1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>{{1,5},{2},{3},{4},{6},{7}}=>[2,1,1,1,1,1]
[2,3,4,5,1,7,6]=>[1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>{{1,5},{2},{3},{4},{6,7}}=>[2,2,1,1,1]
[2,3,4,5,6,1,7]=>[1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>{{1,6},{2},{3},{4},{5},{7}}=>[2,1,1,1,1,1]
[2,3,4,5,6,7,1]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>{{1,7},{2},{3},{4},{5},{6}}=>[2,1,1,1,1,1]
[2,3,4,5,7,1,6]=>[1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>{{1,6,7},{2},{3},{4},{5}}=>[3,1,1,1,1]
[2,3,4,5,7,6,1]=>[1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>{{1,6,7},{2},{3},{4},{5}}=>[3,1,1,1,1]
[2,3,4,6,1,5,7]=>[1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>{{1,5,6},{2},{3},{4},{7}}=>[3,1,1,1,1]
[2,3,4,6,1,7,5]=>[1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>{{1,7},{2},{3},{4},{5,6}}=>[2,2,1,1,1]
[2,3,4,6,5,1,7]=>[1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>{{1,5,6},{2},{3},{4},{7}}=>[3,1,1,1,1]
[2,3,4,6,5,7,1]=>[1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>{{1,7},{2},{3},{4},{5,6}}=>[2,2,1,1,1]
[2,3,4,6,7,1,5]=>[1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>{{1,5,7},{2},{3},{4},{6}}=>[3,1,1,1,1]
[2,3,4,6,7,5,1]=>[1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>{{1,5,7},{2},{3},{4},{6}}=>[3,1,1,1,1]
[2,3,4,7,1,5,6]=>[1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>{{1,5,6,7},{2},{3},{4}}=>[4,1,1,1]
[2,3,4,7,1,6,5]=>[1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>{{1,5,6,7},{2},{3},{4}}=>[4,1,1,1]
[2,3,4,7,5,1,6]=>[1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>{{1,5,6,7},{2},{3},{4}}=>[4,1,1,1]
[2,3,4,7,5,6,1]=>[1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>{{1,5,6,7},{2},{3},{4}}=>[4,1,1,1]
[2,3,4,7,6,1,5]=>[1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>{{1,5,6,7},{2},{3},{4}}=>[4,1,1,1]
[2,3,4,7,6,5,1]=>[1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>{{1,5,6,7},{2},{3},{4}}=>[4,1,1,1]
[2,3,5,1,4,6,7]=>[1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>{{1,4,5},{2},{3},{6},{7}}=>[3,1,1,1,1]
[2,3,5,1,4,7,6]=>[1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>{{1,4,5},{2},{3},{6,7}}=>[3,2,1,1]
[2,3,5,1,6,4,7]=>[1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>{{1,6},{2},{3},{4,5},{7}}=>[2,2,1,1,1]
[2,3,5,1,6,7,4]=>[1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>{{1,7},{2},{3},{4,5},{6}}=>[2,2,1,1,1]
[2,3,5,1,7,4,6]=>[1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>{{1,6,7},{2},{3},{4,5}}=>[3,2,1,1]
[2,3,5,1,7,6,4]=>[1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>{{1,6,7},{2},{3},{4,5}}=>[3,2,1,1]
[2,3,5,4,1,6,7]=>[1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>{{1,4,5},{2},{3},{6},{7}}=>[3,1,1,1,1]
[2,3,5,4,1,7,6]=>[1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>{{1,4,5},{2},{3},{6,7}}=>[3,2,1,1]
[2,3,5,4,6,1,7]=>[1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>{{1,6},{2},{3},{4,5},{7}}=>[2,2,1,1,1]
[2,3,5,4,6,7,1]=>[1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>{{1,7},{2},{3},{4,5},{6}}=>[2,2,1,1,1]
[2,3,5,4,7,1,6]=>[1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>{{1,6,7},{2},{3},{4,5}}=>[3,2,1,1]
[2,3,5,4,7,6,1]=>[1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>{{1,6,7},{2},{3},{4,5}}=>[3,2,1,1]
[2,3,5,6,1,4,7]=>[1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>{{1,4,6},{2},{3},{5},{7}}=>[3,1,1,1,1]
[2,3,5,6,1,7,4]=>[1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>{{1,7},{2},{3},{4,6},{5}}=>[2,2,1,1,1]
[2,3,5,6,4,1,7]=>[1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>{{1,4,6},{2},{3},{5},{7}}=>[3,1,1,1,1]
[2,3,5,6,4,7,1]=>[1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>{{1,7},{2},{3},{4,6},{5}}=>[2,2,1,1,1]
[2,3,5,6,7,1,4]=>[1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>{{1,4,7},{2},{3},{5},{6}}=>[3,1,1,1,1]
[2,3,5,6,7,4,1]=>[1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>{{1,4,7},{2},{3},{5},{6}}=>[3,1,1,1,1]
[2,3,5,7,1,4,6]=>[1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>{{1,4,6,7},{2},{3},{5}}=>[4,1,1,1]
[2,3,5,7,1,6,4]=>[1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>{{1,4,6,7},{2},{3},{5}}=>[4,1,1,1]
[2,3,5,7,4,1,6]=>[1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>{{1,4,6,7},{2},{3},{5}}=>[4,1,1,1]
[2,3,5,7,4,6,1]=>[1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>{{1,4,6,7},{2},{3},{5}}=>[4,1,1,1]
[2,3,5,7,6,1,4]=>[1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>{{1,4,6,7},{2},{3},{5}}=>[4,1,1,1]
[2,3,5,7,6,4,1]=>[1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>{{1,4,6,7},{2},{3},{5}}=>[4,1,1,1]
[2,3,6,1,4,5,7]=>[1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>{{1,4,5,6},{2},{3},{7}}=>[4,1,1,1]
[2,3,6,1,4,7,5]=>[1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>{{1,7},{2},{3},{4,5,6}}=>[3,2,1,1]
[2,3,6,1,5,4,7]=>[1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>{{1,4,5,6},{2},{3},{7}}=>[4,1,1,1]
[2,3,6,1,5,7,4]=>[1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>{{1,7},{2},{3},{4,5,6}}=>[3,2,1,1]
[2,3,6,1,7,4,5]=>[1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>{{1,4,7},{2},{3},{5,6}}=>[3,2,1,1]
[2,3,6,1,7,5,4]=>[1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>{{1,4,7},{2},{3},{5,6}}=>[3,2,1,1]
[2,3,6,4,1,5,7]=>[1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>{{1,4,5,6},{2},{3},{7}}=>[4,1,1,1]
[2,3,6,4,1,7,5]=>[1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>{{1,7},{2},{3},{4,5,6}}=>[3,2,1,1]
[2,3,6,4,5,1,7]=>[1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>{{1,4,5,6},{2},{3},{7}}=>[4,1,1,1]
[2,3,6,4,5,7,1]=>[1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>{{1,7},{2},{3},{4,5,6}}=>[3,2,1,1]
[2,3,6,4,7,1,5]=>[1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>{{1,4,7},{2},{3},{5,6}}=>[3,2,1,1]
[2,3,6,4,7,5,1]=>[1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>{{1,4,7},{2},{3},{5,6}}=>[3,2,1,1]
[2,3,6,5,1,4,7]=>[1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>{{1,4,5,6},{2},{3},{7}}=>[4,1,1,1]
[2,3,6,5,1,7,4]=>[1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>{{1,7},{2},{3},{4,5,6}}=>[3,2,1,1]
[2,3,6,5,4,1,7]=>[1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>{{1,4,5,6},{2},{3},{7}}=>[4,1,1,1]
[2,3,6,5,4,7,1]=>[1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>{{1,7},{2},{3},{4,5,6}}=>[3,2,1,1]
[2,3,6,5,7,1,4]=>[1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>{{1,4,7},{2},{3},{5,6}}=>[3,2,1,1]
[2,3,6,5,7,4,1]=>[1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>{{1,4,7},{2},{3},{5,6}}=>[3,2,1,1]
[2,3,6,7,1,4,5]=>[1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>{{1,4,5,7},{2},{3},{6}}=>[4,1,1,1]
[2,3,6,7,1,5,4]=>[1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>{{1,4,5,7},{2},{3},{6}}=>[4,1,1,1]
[2,3,6,7,4,1,5]=>[1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>{{1,4,5,7},{2},{3},{6}}=>[4,1,1,1]
[2,3,6,7,4,5,1]=>[1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>{{1,4,5,7},{2},{3},{6}}=>[4,1,1,1]
[2,3,6,7,5,1,4]=>[1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>{{1,4,5,7},{2},{3},{6}}=>[4,1,1,1]
[2,3,6,7,5,4,1]=>[1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>{{1,4,5,7},{2},{3},{6}}=>[4,1,1,1]
[2,3,7,1,4,5,6]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>{{1,4,5,6,7},{2},{3}}=>[5,1,1]
[2,3,7,1,4,6,5]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>{{1,4,5,6,7},{2},{3}}=>[5,1,1]
[2,3,7,1,5,4,6]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>{{1,4,5,6,7},{2},{3}}=>[5,1,1]
[2,3,7,1,5,6,4]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>{{1,4,5,6,7},{2},{3}}=>[5,1,1]
[2,3,7,1,6,4,5]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>{{1,4,5,6,7},{2},{3}}=>[5,1,1]
[2,3,7,1,6,5,4]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>{{1,4,5,6,7},{2},{3}}=>[5,1,1]
[2,3,7,4,1,5,6]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>{{1,4,5,6,7},{2},{3}}=>[5,1,1]
[2,3,7,4,1,6,5]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>{{1,4,5,6,7},{2},{3}}=>[5,1,1]
[2,3,7,4,5,1,6]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>{{1,4,5,6,7},{2},{3}}=>[5,1,1]
[2,3,7,4,5,6,1]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>{{1,4,5,6,7},{2},{3}}=>[5,1,1]
[2,3,7,4,6,1,5]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>{{1,4,5,6,7},{2},{3}}=>[5,1,1]
[2,3,7,4,6,5,1]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>{{1,4,5,6,7},{2},{3}}=>[5,1,1]
[2,3,7,5,1,4,6]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>{{1,4,5,6,7},{2},{3}}=>[5,1,1]
[2,3,7,5,1,6,4]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>{{1,4,5,6,7},{2},{3}}=>[5,1,1]
[2,3,7,5,4,1,6]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>{{1,4,5,6,7},{2},{3}}=>[5,1,1]
[2,3,7,5,4,6,1]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>{{1,4,5,6,7},{2},{3}}=>[5,1,1]
[2,3,7,5,6,1,4]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>{{1,4,5,6,7},{2},{3}}=>[5,1,1]
[2,3,7,5,6,4,1]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>{{1,4,5,6,7},{2},{3}}=>[5,1,1]
[2,3,7,6,1,4,5]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>{{1,4,5,6,7},{2},{3}}=>[5,1,1]
[2,3,7,6,1,5,4]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>{{1,4,5,6,7},{2},{3}}=>[5,1,1]
[2,3,7,6,4,1,5]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>{{1,4,5,6,7},{2},{3}}=>[5,1,1]
[2,3,7,6,4,5,1]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>{{1,4,5,6,7},{2},{3}}=>[5,1,1]
[2,3,7,6,5,1,4]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>{{1,4,5,6,7},{2},{3}}=>[5,1,1]
[2,3,7,6,5,4,1]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>{{1,4,5,6,7},{2},{3}}=>[5,1,1]
[2,4,1,3,5,6,7]=>[1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>{{1,3,4},{2},{5},{6},{7}}=>[3,1,1,1,1]
[2,4,1,3,5,7,6]=>[1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>{{1,3,4},{2},{5},{6,7}}=>[3,2,1,1]
[2,4,1,3,6,5,7]=>[1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>{{1,3,4},{2},{5,6},{7}}=>[3,2,1,1]
[2,4,1,3,6,7,5]=>[1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>{{1,3,4},{2},{5,7},{6}}=>[3,2,1,1]
[2,4,1,3,7,5,6]=>[1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>{{1,3,4},{2},{5,6,7}}=>[3,3,1]
[2,4,1,3,7,6,5]=>[1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>{{1,3,4},{2},{5,6,7}}=>[3,3,1]
[2,4,1,5,3,6,7]=>[1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>{{1,5},{2},{3,4},{6},{7}}=>[2,2,1,1,1]
[2,4,1,5,3,7,6]=>[1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>{{1,5},{2},{3,4},{6,7}}=>[2,2,2,1]
[2,4,1,5,6,3,7]=>[1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>{{1,6},{2},{3,4},{5},{7}}=>[2,2,1,1,1]
[2,4,1,5,6,7,3]=>[1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>{{1,7},{2},{3,4},{5},{6}}=>[2,2,1,1,1]
[2,4,1,5,7,3,6]=>[1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>{{1,6,7},{2},{3,4},{5}}=>[3,2,1,1]
[2,4,1,5,7,6,3]=>[1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>{{1,6,7},{2},{3,4},{5}}=>[3,2,1,1]
[2,4,1,6,3,5,7]=>[1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>{{1,5,6},{2},{3,4},{7}}=>[3,2,1,1]
[2,4,1,6,3,7,5]=>[1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>{{1,7},{2},{3,4},{5,6}}=>[2,2,2,1]
[2,4,1,6,5,3,7]=>[1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>{{1,5,6},{2},{3,4},{7}}=>[3,2,1,1]
[2,4,1,6,5,7,3]=>[1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>{{1,7},{2},{3,4},{5,6}}=>[2,2,2,1]
[2,4,1,6,7,3,5]=>[1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>{{1,5,7},{2},{3,4},{6}}=>[3,2,1,1]
[2,4,1,6,7,5,3]=>[1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>{{1,5,7},{2},{3,4},{6}}=>[3,2,1,1]
[2,4,1,7,3,5,6]=>[1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>{{1,5,6,7},{2},{3,4}}=>[4,2,1]
[2,4,1,7,3,6,5]=>[1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>{{1,5,6,7},{2},{3,4}}=>[4,2,1]
[2,4,1,7,5,3,6]=>[1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>{{1,5,6,7},{2},{3,4}}=>[4,2,1]
[2,4,1,7,5,6,3]=>[1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>{{1,5,6,7},{2},{3,4}}=>[4,2,1]
[2,4,1,7,6,3,5]=>[1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>{{1,5,6,7},{2},{3,4}}=>[4,2,1]
[2,4,1,7,6,5,3]=>[1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>{{1,5,6,7},{2},{3,4}}=>[4,2,1]
[2,4,3,1,5,6,7]=>[1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>{{1,3,4},{2},{5},{6},{7}}=>[3,1,1,1,1]
[2,4,3,1,5,7,6]=>[1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>{{1,3,4},{2},{5},{6,7}}=>[3,2,1,1]
[2,4,3,1,6,5,7]=>[1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>{{1,3,4},{2},{5,6},{7}}=>[3,2,1,1]
[2,4,3,1,6,7,5]=>[1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>{{1,3,4},{2},{5,7},{6}}=>[3,2,1,1]
[2,4,3,1,7,5,6]=>[1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>{{1,3,4},{2},{5,6,7}}=>[3,3,1]
[2,4,3,1,7,6,5]=>[1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>{{1,3,4},{2},{5,6,7}}=>[3,3,1]
[2,4,3,5,1,6,7]=>[1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>{{1,5},{2},{3,4},{6},{7}}=>[2,2,1,1,1]
[2,4,3,5,1,7,6]=>[1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>{{1,5},{2},{3,4},{6,7}}=>[2,2,2,1]
[2,4,3,5,6,1,7]=>[1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>{{1,6},{2},{3,4},{5},{7}}=>[2,2,1,1,1]
[2,4,3,5,6,7,1]=>[1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>{{1,7},{2},{3,4},{5},{6}}=>[2,2,1,1,1]
[2,4,3,5,7,1,6]=>[1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>{{1,6,7},{2},{3,4},{5}}=>[3,2,1,1]
[2,4,3,5,7,6,1]=>[1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>{{1,6,7},{2},{3,4},{5}}=>[3,2,1,1]
[2,4,3,6,1,5,7]=>[1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>{{1,5,6},{2},{3,4},{7}}=>[3,2,1,1]
[2,4,3,6,1,7,5]=>[1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>{{1,7},{2},{3,4},{5,6}}=>[2,2,2,1]
[2,4,3,6,5,1,7]=>[1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>{{1,5,6},{2},{3,4},{7}}=>[3,2,1,1]
[2,4,3,6,5,7,1]=>[1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>{{1,7},{2},{3,4},{5,6}}=>[2,2,2,1]
[2,4,3,6,7,1,5]=>[1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>{{1,5,7},{2},{3,4},{6}}=>[3,2,1,1]
[2,4,3,6,7,5,1]=>[1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>{{1,5,7},{2},{3,4},{6}}=>[3,2,1,1]
[2,4,3,7,1,5,6]=>[1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>{{1,5,6,7},{2},{3,4}}=>[4,2,1]
[2,4,3,7,1,6,5]=>[1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>{{1,5,6,7},{2},{3,4}}=>[4,2,1]
[2,4,3,7,5,1,6]=>[1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>{{1,5,6,7},{2},{3,4}}=>[4,2,1]
[2,4,3,7,5,6,1]=>[1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>{{1,5,6,7},{2},{3,4}}=>[4,2,1]
[2,4,3,7,6,1,5]=>[1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>{{1,5,6,7},{2},{3,4}}=>[4,2,1]
[2,4,3,7,6,5,1]=>[1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>{{1,5,6,7},{2},{3,4}}=>[4,2,1]
[2,4,5,1,3,6,7]=>[1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>{{1,3,5},{2},{4},{6},{7}}=>[3,1,1,1,1]
[2,4,5,1,3,7,6]=>[1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>{{1,3,5},{2},{4},{6,7}}=>[3,2,1,1]
[2,4,5,1,6,3,7]=>[1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>{{1,6},{2},{3,5},{4},{7}}=>[2,2,1,1,1]
[2,4,5,1,6,7,3]=>[1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>{{1,7},{2},{3,5},{4},{6}}=>[2,2,1,1,1]
[2,4,5,1,7,3,6]=>[1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>{{1,6,7},{2},{3,5},{4}}=>[3,2,1,1]
[2,4,5,1,7,6,3]=>[1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>{{1,6,7},{2},{3,5},{4}}=>[3,2,1,1]
[2,4,5,3,1,6,7]=>[1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>{{1,3,5},{2},{4},{6},{7}}=>[3,1,1,1,1]
[2,4,5,3,1,7,6]=>[1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>{{1,3,5},{2},{4},{6,7}}=>[3,2,1,1]
[2,4,5,3,6,1,7]=>[1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>{{1,6},{2},{3,5},{4},{7}}=>[2,2,1,1,1]
[2,4,5,3,6,7,1]=>[1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>{{1,7},{2},{3,5},{4},{6}}=>[2,2,1,1,1]
[2,4,5,3,7,1,6]=>[1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>{{1,6,7},{2},{3,5},{4}}=>[3,2,1,1]
[2,4,5,3,7,6,1]=>[1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>{{1,6,7},{2},{3,5},{4}}=>[3,2,1,1]
[2,4,5,6,1,3,7]=>[1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>{{1,3,6},{2},{4},{5},{7}}=>[3,1,1,1,1]
[2,4,5,6,1,7,3]=>[1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>{{1,7},{2},{3,6},{4},{5}}=>[2,2,1,1,1]
[2,4,5,6,3,1,7]=>[1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>{{1,3,6},{2},{4},{5},{7}}=>[3,1,1,1,1]
[2,4,5,6,3,7,1]=>[1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>{{1,7},{2},{3,6},{4},{5}}=>[2,2,1,1,1]
[2,4,5,6,7,1,3]=>[1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>{{1,3,7},{2},{4},{5},{6}}=>[3,1,1,1,1]
[2,4,5,6,7,3,1]=>[1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>{{1,3,7},{2},{4},{5},{6}}=>[3,1,1,1,1]
[2,4,5,7,1,3,6]=>[1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>{{1,3,6,7},{2},{4},{5}}=>[4,1,1,1]
[2,4,5,7,1,6,3]=>[1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>{{1,3,6,7},{2},{4},{5}}=>[4,1,1,1]
[2,4,5,7,3,1,6]=>[1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>{{1,3,6,7},{2},{4},{5}}=>[4,1,1,1]
[2,4,5,7,3,6,1]=>[1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>{{1,3,6,7},{2},{4},{5}}=>[4,1,1,1]
[2,4,5,7,6,1,3]=>[1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>{{1,3,6,7},{2},{4},{5}}=>[4,1,1,1]
[2,4,5,7,6,3,1]=>[1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>{{1,3,6,7},{2},{4},{5}}=>[4,1,1,1]
[2,4,6,1,3,5,7]=>[1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>{{1,3,5,6},{2},{4},{7}}=>[4,1,1,1]
[2,4,6,1,3,7,5]=>[1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>{{1,7},{2},{3,5,6},{4}}=>[3,2,1,1]
[2,4,6,1,5,3,7]=>[1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>{{1,3,5,6},{2},{4},{7}}=>[4,1,1,1]
[2,4,6,1,5,7,3]=>[1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>{{1,7},{2},{3,5,6},{4}}=>[3,2,1,1]
[2,4,6,1,7,3,5]=>[1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>{{1,3,7},{2},{4},{5,6}}=>[3,2,1,1]
[2,4,6,1,7,5,3]=>[1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>{{1,3,7},{2},{4},{5,6}}=>[3,2,1,1]
[2,4,6,3,1,5,7]=>[1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>{{1,3,5,6},{2},{4},{7}}=>[4,1,1,1]
[2,4,6,3,1,7,5]=>[1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>{{1,7},{2},{3,5,6},{4}}=>[3,2,1,1]
[2,4,6,3,5,1,7]=>[1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>{{1,3,5,6},{2},{4},{7}}=>[4,1,1,1]
[2,4,6,3,5,7,1]=>[1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>{{1,7},{2},{3,5,6},{4}}=>[3,2,1,1]
[2,4,6,3,7,1,5]=>[1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>{{1,3,7},{2},{4},{5,6}}=>[3,2,1,1]
[2,4,6,3,7,5,1]=>[1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>{{1,3,7},{2},{4},{5,6}}=>[3,2,1,1]
[2,4,6,5,1,3,7]=>[1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>{{1,3,5,6},{2},{4},{7}}=>[4,1,1,1]
[2,4,6,5,1,7,3]=>[1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>{{1,7},{2},{3,5,6},{4}}=>[3,2,1,1]
[2,4,6,5,3,1,7]=>[1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>{{1,3,5,6},{2},{4},{7}}=>[4,1,1,1]
[2,4,6,5,3,7,1]=>[1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>{{1,7},{2},{3,5,6},{4}}=>[3,2,1,1]
[2,4,6,5,7,1,3]=>[1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>{{1,3,7},{2},{4},{5,6}}=>[3,2,1,1]
[2,4,6,5,7,3,1]=>[1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>{{1,3,7},{2},{4},{5,6}}=>[3,2,1,1]
[2,4,6,7,1,3,5]=>[1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>{{1,3,5,7},{2},{4},{6}}=>[4,1,1,1]
[2,4,6,7,1,5,3]=>[1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>{{1,3,5,7},{2},{4},{6}}=>[4,1,1,1]
[2,4,6,7,3,1,5]=>[1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>{{1,3,5,7},{2},{4},{6}}=>[4,1,1,1]
[2,4,6,7,3,5,1]=>[1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>{{1,3,5,7},{2},{4},{6}}=>[4,1,1,1]
[2,4,6,7,5,1,3]=>[1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>{{1,3,5,7},{2},{4},{6}}=>[4,1,1,1]
[2,4,6,7,5,3,1]=>[1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>{{1,3,5,7},{2},{4},{6}}=>[4,1,1,1]
[2,4,7,1,3,5,6]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>{{1,3,5,6,7},{2},{4}}=>[5,1,1]
[2,4,7,1,3,6,5]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>{{1,3,5,6,7},{2},{4}}=>[5,1,1]
[2,4,7,1,5,3,6]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>{{1,3,5,6,7},{2},{4}}=>[5,1,1]
[2,4,7,1,5,6,3]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>{{1,3,5,6,7},{2},{4}}=>[5,1,1]
[2,4,7,1,6,3,5]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>{{1,3,5,6,7},{2},{4}}=>[5,1,1]
[2,4,7,1,6,5,3]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>{{1,3,5,6,7},{2},{4}}=>[5,1,1]
[2,4,7,3,1,5,6]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>{{1,3,5,6,7},{2},{4}}=>[5,1,1]
[2,4,7,3,1,6,5]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>{{1,3,5,6,7},{2},{4}}=>[5,1,1]
[2,4,7,3,5,1,6]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>{{1,3,5,6,7},{2},{4}}=>[5,1,1]
[2,4,7,3,5,6,1]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>{{1,3,5,6,7},{2},{4}}=>[5,1,1]
[2,4,7,3,6,1,5]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>{{1,3,5,6,7},{2},{4}}=>[5,1,1]
[2,4,7,3,6,5,1]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>{{1,3,5,6,7},{2},{4}}=>[5,1,1]
[2,4,7,5,1,3,6]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>{{1,3,5,6,7},{2},{4}}=>[5,1,1]
[2,4,7,5,1,6,3]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>{{1,3,5,6,7},{2},{4}}=>[5,1,1]
[2,4,7,5,3,1,6]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>{{1,3,5,6,7},{2},{4}}=>[5,1,1]
[2,4,7,5,3,6,1]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>{{1,3,5,6,7},{2},{4}}=>[5,1,1]
[2,4,7,5,6,1,3]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>{{1,3,5,6,7},{2},{4}}=>[5,1,1]
[2,4,7,5,6,3,1]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>{{1,3,5,6,7},{2},{4}}=>[5,1,1]
[2,4,7,6,1,3,5]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>{{1,3,5,6,7},{2},{4}}=>[5,1,1]
[2,4,7,6,1,5,3]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>{{1,3,5,6,7},{2},{4}}=>[5,1,1]
[2,4,7,6,3,1,5]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>{{1,3,5,6,7},{2},{4}}=>[5,1,1]
[2,4,7,6,3,5,1]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>{{1,3,5,6,7},{2},{4}}=>[5,1,1]
[2,4,7,6,5,1,3]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>{{1,3,5,6,7},{2},{4}}=>[5,1,1]
[2,4,7,6,5,3,1]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>{{1,3,5,6,7},{2},{4}}=>[5,1,1]
[2,5,1,3,4,6,7]=>[1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>{{1,3,4,5},{2},{6},{7}}=>[4,1,1,1]
[2,5,1,3,4,7,6]=>[1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>{{1,3,4,5},{2},{6,7}}=>[4,2,1]
[2,5,1,3,6,4,7]=>[1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>{{1,6},{2},{3,4,5},{7}}=>[3,2,1,1]
[2,5,1,3,6,7,4]=>[1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>{{1,7},{2},{3,4,5},{6}}=>[3,2,1,1]
[2,5,1,3,7,4,6]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>{{1,6,7},{2},{3,4,5}}=>[3,3,1]
[2,5,1,3,7,6,4]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>{{1,6,7},{2},{3,4,5}}=>[3,3,1]
[2,5,1,4,3,6,7]=>[1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>{{1,3,4,5},{2},{6},{7}}=>[4,1,1,1]
[2,5,1,4,3,7,6]=>[1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>{{1,3,4,5},{2},{6,7}}=>[4,2,1]
[2,5,1,4,6,3,7]=>[1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>{{1,6},{2},{3,4,5},{7}}=>[3,2,1,1]
[2,5,1,4,6,7,3]=>[1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>{{1,7},{2},{3,4,5},{6}}=>[3,2,1,1]
[2,5,1,4,7,3,6]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>{{1,6,7},{2},{3,4,5}}=>[3,3,1]
[2,5,1,4,7,6,3]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>{{1,6,7},{2},{3,4,5}}=>[3,3,1]
[2,5,1,6,3,4,7]=>[1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>{{1,3,6},{2},{4,5},{7}}=>[3,2,1,1]
[2,5,1,6,3,7,4]=>[1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>{{1,7},{2},{3,6},{4,5}}=>[2,2,2,1]
[2,5,1,6,4,3,7]=>[1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>{{1,3,6},{2},{4,5},{7}}=>[3,2,1,1]
[2,5,1,6,4,7,3]=>[1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>{{1,7},{2},{3,6},{4,5}}=>[2,2,2,1]
[2,5,1,6,7,3,4]=>[1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>{{1,3,7},{2},{4,5},{6}}=>[3,2,1,1]
[2,5,1,6,7,4,3]=>[1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>{{1,3,7},{2},{4,5},{6}}=>[3,2,1,1]
[2,5,1,7,3,4,6]=>[1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>{{1,3,6,7},{2},{4,5}}=>[4,2,1]
[2,5,1,7,3,6,4]=>[1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>{{1,3,6,7},{2},{4,5}}=>[4,2,1]
[2,5,1,7,4,3,6]=>[1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>{{1,3,6,7},{2},{4,5}}=>[4,2,1]
[2,5,1,7,4,6,3]=>[1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>{{1,3,6,7},{2},{4,5}}=>[4,2,1]
[2,5,1,7,6,3,4]=>[1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>{{1,3,6,7},{2},{4,5}}=>[4,2,1]
[2,5,1,7,6,4,3]=>[1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>{{1,3,6,7},{2},{4,5}}=>[4,2,1]
[2,5,3,1,4,6,7]=>[1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>{{1,3,4,5},{2},{6},{7}}=>[4,1,1,1]
[2,5,3,1,4,7,6]=>[1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>{{1,3,4,5},{2},{6,7}}=>[4,2,1]
[2,5,3,1,6,4,7]=>[1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>{{1,6},{2},{3,4,5},{7}}=>[3,2,1,1]
[2,5,3,1,6,7,4]=>[1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>{{1,7},{2},{3,4,5},{6}}=>[3,2,1,1]
[2,5,3,1,7,4,6]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>{{1,6,7},{2},{3,4,5}}=>[3,3,1]
[2,5,3,1,7,6,4]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>{{1,6,7},{2},{3,4,5}}=>[3,3,1]
[2,5,3,4,1,6,7]=>[1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>{{1,3,4,5},{2},{6},{7}}=>[4,1,1,1]
[2,5,3,4,1,7,6]=>[1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>{{1,3,4,5},{2},{6,7}}=>[4,2,1]
[2,5,3,4,6,1,7]=>[1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>{{1,6},{2},{3,4,5},{7}}=>[3,2,1,1]
[2,5,3,4,6,7,1]=>[1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>{{1,7},{2},{3,4,5},{6}}=>[3,2,1,1]
[2,5,3,4,7,1,6]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>{{1,6,7},{2},{3,4,5}}=>[3,3,1]
[2,5,3,4,7,6,1]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>{{1,6,7},{2},{3,4,5}}=>[3,3,1]
[2,5,3,6,1,4,7]=>[1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>{{1,3,6},{2},{4,5},{7}}=>[3,2,1,1]
[2,5,3,6,1,7,4]=>[1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>{{1,7},{2},{3,6},{4,5}}=>[2,2,2,1]
[2,5,3,6,4,1,7]=>[1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>{{1,3,6},{2},{4,5},{7}}=>[3,2,1,1]
[2,5,3,6,4,7,1]=>[1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>{{1,7},{2},{3,6},{4,5}}=>[2,2,2,1]
[2,5,3,6,7,1,4]=>[1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>{{1,3,7},{2},{4,5},{6}}=>[3,2,1,1]
[2,5,3,6,7,4,1]=>[1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>{{1,3,7},{2},{4,5},{6}}=>[3,2,1,1]
[2,5,3,7,1,4,6]=>[1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>{{1,3,6,7},{2},{4,5}}=>[4,2,1]
[2,5,3,7,1,6,4]=>[1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>{{1,3,6,7},{2},{4,5}}=>[4,2,1]
[2,5,3,7,4,1,6]=>[1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>{{1,3,6,7},{2},{4,5}}=>[4,2,1]
[2,5,3,7,4,6,1]=>[1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>{{1,3,6,7},{2},{4,5}}=>[4,2,1]
[2,5,3,7,6,1,4]=>[1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>{{1,3,6,7},{2},{4,5}}=>[4,2,1]
[2,5,3,7,6,4,1]=>[1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>{{1,3,6,7},{2},{4,5}}=>[4,2,1]
[2,5,4,1,3,6,7]=>[1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>{{1,3,4,5},{2},{6},{7}}=>[4,1,1,1]
[2,5,4,1,3,7,6]=>[1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>{{1,3,4,5},{2},{6,7}}=>[4,2,1]
[2,5,4,1,6,3,7]=>[1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>{{1,6},{2},{3,4,5},{7}}=>[3,2,1,1]
[2,5,4,1,6,7,3]=>[1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>{{1,7},{2},{3,4,5},{6}}=>[3,2,1,1]
[2,5,4,1,7,3,6]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>{{1,6,7},{2},{3,4,5}}=>[3,3,1]
[2,5,4,1,7,6,3]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>{{1,6,7},{2},{3,4,5}}=>[3,3,1]
[2,5,4,3,1,6,7]=>[1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>{{1,3,4,5},{2},{6},{7}}=>[4,1,1,1]
[2,5,4,3,1,7,6]=>[1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>{{1,3,4,5},{2},{6,7}}=>[4,2,1]
[2,5,4,3,6,1,7]=>[1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>{{1,6},{2},{3,4,5},{7}}=>[3,2,1,1]
[2,5,4,3,6,7,1]=>[1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>{{1,7},{2},{3,4,5},{6}}=>[3,2,1,1]
[2,5,4,3,7,1,6]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>{{1,6,7},{2},{3,4,5}}=>[3,3,1]
[2,5,4,3,7,6,1]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>{{1,6,7},{2},{3,4,5}}=>[3,3,1]
[2,5,4,6,1,3,7]=>[1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>{{1,3,6},{2},{4,5},{7}}=>[3,2,1,1]
[2,5,4,6,1,7,3]=>[1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>{{1,7},{2},{3,6},{4,5}}=>[2,2,2,1]
[2,5,4,6,3,1,7]=>[1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>{{1,3,6},{2},{4,5},{7}}=>[3,2,1,1]
[2,5,4,6,3,7,1]=>[1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>{{1,7},{2},{3,6},{4,5}}=>[2,2,2,1]
[2,5,4,6,7,1,3]=>[1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>{{1,3,7},{2},{4,5},{6}}=>[3,2,1,1]
[2,5,4,6,7,3,1]=>[1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>{{1,3,7},{2},{4,5},{6}}=>[3,2,1,1]
[2,5,4,7,1,3,6]=>[1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>{{1,3,6,7},{2},{4,5}}=>[4,2,1]
[2,5,4,7,1,6,3]=>[1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>{{1,3,6,7},{2},{4,5}}=>[4,2,1]
[2,5,4,7,3,1,6]=>[1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>{{1,3,6,7},{2},{4,5}}=>[4,2,1]
[2,5,4,7,3,6,1]=>[1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>{{1,3,6,7},{2},{4,5}}=>[4,2,1]
[2,5,4,7,6,1,3]=>[1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>{{1,3,6,7},{2},{4,5}}=>[4,2,1]
[2,5,4,7,6,3,1]=>[1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>{{1,3,6,7},{2},{4,5}}=>[4,2,1]
[2,5,6,1,3,4,7]=>[1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>{{1,3,4,6},{2},{5},{7}}=>[4,1,1,1]
[2,5,6,1,3,7,4]=>[1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>{{1,7},{2},{3,4,6},{5}}=>[3,2,1,1]
[2,5,6,1,4,3,7]=>[1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>{{1,3,4,6},{2},{5},{7}}=>[4,1,1,1]
[2,5,6,1,4,7,3]=>[1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>{{1,7},{2},{3,4,6},{5}}=>[3,2,1,1]
[2,5,6,1,7,3,4]=>[1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>{{1,3,7},{2},{4,6},{5}}=>[3,2,1,1]
[2,5,6,1,7,4,3]=>[1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>{{1,3,7},{2},{4,6},{5}}=>[3,2,1,1]
[2,5,6,3,1,4,7]=>[1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>{{1,3,4,6},{2},{5},{7}}=>[4,1,1,1]
[2,5,6,3,1,7,4]=>[1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>{{1,7},{2},{3,4,6},{5}}=>[3,2,1,1]
[2,5,6,3,4,1,7]=>[1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>{{1,3,4,6},{2},{5},{7}}=>[4,1,1,1]
[2,5,6,3,4,7,1]=>[1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>{{1,7},{2},{3,4,6},{5}}=>[3,2,1,1]
[2,5,6,3,7,1,4]=>[1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>{{1,3,7},{2},{4,6},{5}}=>[3,2,1,1]
[2,5,6,3,7,4,1]=>[1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>{{1,3,7},{2},{4,6},{5}}=>[3,2,1,1]
[2,5,6,4,1,3,7]=>[1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>{{1,3,4,6},{2},{5},{7}}=>[4,1,1,1]
[2,5,6,4,1,7,3]=>[1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>{{1,7},{2},{3,4,6},{5}}=>[3,2,1,1]
[2,5,6,4,3,1,7]=>[1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>{{1,3,4,6},{2},{5},{7}}=>[4,1,1,1]
[2,5,6,4,3,7,1]=>[1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>{{1,7},{2},{3,4,6},{5}}=>[3,2,1,1]
[2,5,6,4,7,1,3]=>[1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>{{1,3,7},{2},{4,6},{5}}=>[3,2,1,1]
[2,5,6,4,7,3,1]=>[1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>{{1,3,7},{2},{4,6},{5}}=>[3,2,1,1]
[2,5,6,7,1,3,4]=>[1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>{{1,3,4,7},{2},{5},{6}}=>[4,1,1,1]
[2,5,6,7,1,4,3]=>[1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>{{1,3,4,7},{2},{5},{6}}=>[4,1,1,1]
[2,5,6,7,3,1,4]=>[1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>{{1,3,4,7},{2},{5},{6}}=>[4,1,1,1]
[2,5,6,7,3,4,1]=>[1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>{{1,3,4,7},{2},{5},{6}}=>[4,1,1,1]
[2,5,6,7,4,1,3]=>[1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>{{1,3,4,7},{2},{5},{6}}=>[4,1,1,1]
[2,5,6,7,4,3,1]=>[1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>{{1,3,4,7},{2},{5},{6}}=>[4,1,1,1]
[2,5,7,1,3,4,6]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>{{1,3,4,6,7},{2},{5}}=>[5,1,1]
[2,5,7,1,3,6,4]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>{{1,3,4,6,7},{2},{5}}=>[5,1,1]
[2,5,7,1,4,3,6]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>{{1,3,4,6,7},{2},{5}}=>[5,1,1]
[2,5,7,1,4,6,3]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>{{1,3,4,6,7},{2},{5}}=>[5,1,1]
[2,5,7,1,6,3,4]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>{{1,3,4,6,7},{2},{5}}=>[5,1,1]
[2,5,7,1,6,4,3]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>{{1,3,4,6,7},{2},{5}}=>[5,1,1]
[2,5,7,3,1,4,6]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>{{1,3,4,6,7},{2},{5}}=>[5,1,1]
[2,5,7,3,1,6,4]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>{{1,3,4,6,7},{2},{5}}=>[5,1,1]
[2,5,7,3,4,1,6]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>{{1,3,4,6,7},{2},{5}}=>[5,1,1]
[2,5,7,3,4,6,1]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>{{1,3,4,6,7},{2},{5}}=>[5,1,1]
[2,5,7,3,6,1,4]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>{{1,3,4,6,7},{2},{5}}=>[5,1,1]
[2,5,7,3,6,4,1]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>{{1,3,4,6,7},{2},{5}}=>[5,1,1]
[2,5,7,4,1,3,6]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>{{1,3,4,6,7},{2},{5}}=>[5,1,1]
[2,5,7,4,1,6,3]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>{{1,3,4,6,7},{2},{5}}=>[5,1,1]
[2,5,7,4,3,1,6]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>{{1,3,4,6,7},{2},{5}}=>[5,1,1]
[2,5,7,4,3,6,1]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>{{1,3,4,6,7},{2},{5}}=>[5,1,1]
[2,5,7,4,6,1,3]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>{{1,3,4,6,7},{2},{5}}=>[5,1,1]
[2,5,7,4,6,3,1]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>{{1,3,4,6,7},{2},{5}}=>[5,1,1]
[2,5,7,6,1,3,4]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>{{1,3,4,6,7},{2},{5}}=>[5,1,1]
[2,5,7,6,1,4,3]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>{{1,3,4,6,7},{2},{5}}=>[5,1,1]
[2,5,7,6,3,1,4]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>{{1,3,4,6,7},{2},{5}}=>[5,1,1]
[2,5,7,6,3,4,1]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>{{1,3,4,6,7},{2},{5}}=>[5,1,1]
[2,5,7,6,4,1,3]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>{{1,3,4,6,7},{2},{5}}=>[5,1,1]
[2,5,7,6,4,3,1]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>{{1,3,4,6,7},{2},{5}}=>[5,1,1]
[2,6,1,3,4,5,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>{{1,3,4,5,6},{2},{7}}=>[5,1,1]
[2,6,1,3,4,7,5]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>{{1,7},{2},{3,4,5,6}}=>[4,2,1]
[2,6,1,3,5,4,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>{{1,3,4,5,6},{2},{7}}=>[5,1,1]
[2,6,1,3,5,7,4]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>{{1,7},{2},{3,4,5,6}}=>[4,2,1]
[2,6,1,3,7,4,5]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>{{1,3,7},{2},{4,5,6}}=>[3,3,1]
[2,6,1,3,7,5,4]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>{{1,3,7},{2},{4,5,6}}=>[3,3,1]
[2,6,1,4,3,5,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>{{1,3,4,5,6},{2},{7}}=>[5,1,1]
[2,6,1,4,3,7,5]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>{{1,7},{2},{3,4,5,6}}=>[4,2,1]
[2,6,1,4,5,3,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>{{1,3,4,5,6},{2},{7}}=>[5,1,1]
[2,6,1,4,5,7,3]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>{{1,7},{2},{3,4,5,6}}=>[4,2,1]
[2,6,1,4,7,3,5]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>{{1,3,7},{2},{4,5,6}}=>[3,3,1]
[2,6,1,4,7,5,3]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>{{1,3,7},{2},{4,5,6}}=>[3,3,1]
[2,6,1,5,3,4,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>{{1,3,4,5,6},{2},{7}}=>[5,1,1]
[2,6,1,5,3,7,4]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>{{1,7},{2},{3,4,5,6}}=>[4,2,1]
[2,6,1,5,4,3,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>{{1,3,4,5,6},{2},{7}}=>[5,1,1]
[2,6,1,5,4,7,3]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>{{1,7},{2},{3,4,5,6}}=>[4,2,1]
[2,6,1,5,7,3,4]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>{{1,3,7},{2},{4,5,6}}=>[3,3,1]
[2,6,1,5,7,4,3]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>{{1,3,7},{2},{4,5,6}}=>[3,3,1]
[2,6,1,7,3,4,5]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>{{1,3,4,7},{2},{5,6}}=>[4,2,1]
[2,6,1,7,3,5,4]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>{{1,3,4,7},{2},{5,6}}=>[4,2,1]
[2,6,1,7,4,3,5]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>{{1,3,4,7},{2},{5,6}}=>[4,2,1]
[2,6,1,7,4,5,3]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>{{1,3,4,7},{2},{5,6}}=>[4,2,1]
[2,6,1,7,5,3,4]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>{{1,3,4,7},{2},{5,6}}=>[4,2,1]
[2,6,1,7,5,4,3]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>{{1,3,4,7},{2},{5,6}}=>[4,2,1]
[2,6,3,1,4,5,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>{{1,3,4,5,6},{2},{7}}=>[5,1,1]
[2,6,3,1,4,7,5]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>{{1,7},{2},{3,4,5,6}}=>[4,2,1]
[2,6,3,1,5,4,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>{{1,3,4,5,6},{2},{7}}=>[5,1,1]
[2,6,3,1,5,7,4]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>{{1,7},{2},{3,4,5,6}}=>[4,2,1]
[2,6,3,1,7,4,5]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>{{1,3,7},{2},{4,5,6}}=>[3,3,1]
[2,6,3,1,7,5,4]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>{{1,3,7},{2},{4,5,6}}=>[3,3,1]
[2,6,3,4,1,5,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>{{1,3,4,5,6},{2},{7}}=>[5,1,1]
[2,6,3,4,1,7,5]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>{{1,7},{2},{3,4,5,6}}=>[4,2,1]
[2,6,3,4,5,1,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>{{1,3,4,5,6},{2},{7}}=>[5,1,1]
[2,6,3,4,5,7,1]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>{{1,7},{2},{3,4,5,6}}=>[4,2,1]
[2,6,3,4,7,1,5]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>{{1,3,7},{2},{4,5,6}}=>[3,3,1]
[2,6,3,4,7,5,1]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>{{1,3,7},{2},{4,5,6}}=>[3,3,1]
[2,6,3,5,1,4,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>{{1,3,4,5,6},{2},{7}}=>[5,1,1]
[2,6,3,5,1,7,4]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>{{1,7},{2},{3,4,5,6}}=>[4,2,1]
[2,6,3,5,4,1,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>{{1,3,4,5,6},{2},{7}}=>[5,1,1]
[2,6,3,5,4,7,1]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>{{1,7},{2},{3,4,5,6}}=>[4,2,1]
[2,6,3,5,7,1,4]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>{{1,3,7},{2},{4,5,6}}=>[3,3,1]
[2,6,3,5,7,4,1]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>{{1,3,7},{2},{4,5,6}}=>[3,3,1]
[2,6,3,7,1,4,5]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>{{1,3,4,7},{2},{5,6}}=>[4,2,1]
[2,6,3,7,1,5,4]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>{{1,3,4,7},{2},{5,6}}=>[4,2,1]
[2,6,3,7,4,1,5]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>{{1,3,4,7},{2},{5,6}}=>[4,2,1]
[2,6,3,7,4,5,1]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>{{1,3,4,7},{2},{5,6}}=>[4,2,1]
[2,6,3,7,5,1,4]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>{{1,3,4,7},{2},{5,6}}=>[4,2,1]
[2,6,3,7,5,4,1]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>{{1,3,4,7},{2},{5,6}}=>[4,2,1]
[2,6,4,1,3,5,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>{{1,3,4,5,6},{2},{7}}=>[5,1,1]
[2,6,4,1,3,7,5]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>{{1,7},{2},{3,4,5,6}}=>[4,2,1]
[2,6,4,1,5,3,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>{{1,3,4,5,6},{2},{7}}=>[5,1,1]
[2,6,4,1,5,7,3]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>{{1,7},{2},{3,4,5,6}}=>[4,2,1]
[2,6,4,1,7,3,5]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>{{1,3,7},{2},{4,5,6}}=>[3,3,1]
[2,6,4,1,7,5,3]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>{{1,3,7},{2},{4,5,6}}=>[3,3,1]
[2,6,4,3,1,5,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>{{1,3,4,5,6},{2},{7}}=>[5,1,1]
[2,6,4,3,1,7,5]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>{{1,7},{2},{3,4,5,6}}=>[4,2,1]
[2,6,4,3,5,1,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>{{1,3,4,5,6},{2},{7}}=>[5,1,1]
[2,6,4,3,5,7,1]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>{{1,7},{2},{3,4,5,6}}=>[4,2,1]
[2,6,4,3,7,1,5]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>{{1,3,7},{2},{4,5,6}}=>[3,3,1]
[2,6,4,3,7,5,1]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>{{1,3,7},{2},{4,5,6}}=>[3,3,1]
[2,6,4,5,1,3,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>{{1,3,4,5,6},{2},{7}}=>[5,1,1]
[2,6,4,5,1,7,3]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>{{1,7},{2},{3,4,5,6}}=>[4,2,1]
[2,6,4,5,3,1,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>{{1,3,4,5,6},{2},{7}}=>[5,1,1]
[2,6,4,5,3,7,1]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>{{1,7},{2},{3,4,5,6}}=>[4,2,1]
[2,6,4,5,7,1,3]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>{{1,3,7},{2},{4,5,6}}=>[3,3,1]
[2,6,4,5,7,3,1]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>{{1,3,7},{2},{4,5,6}}=>[3,3,1]
[2,6,4,7,1,3,5]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>{{1,3,4,7},{2},{5,6}}=>[4,2,1]
[2,6,4,7,1,5,3]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>{{1,3,4,7},{2},{5,6}}=>[4,2,1]
[2,6,4,7,3,1,5]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>{{1,3,4,7},{2},{5,6}}=>[4,2,1]
[2,6,4,7,3,5,1]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>{{1,3,4,7},{2},{5,6}}=>[4,2,1]
[2,6,4,7,5,1,3]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>{{1,3,4,7},{2},{5,6}}=>[4,2,1]
[2,6,4,7,5,3,1]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>{{1,3,4,7},{2},{5,6}}=>[4,2,1]
[2,6,5,1,3,4,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>{{1,3,4,5,6},{2},{7}}=>[5,1,1]
[2,6,5,1,3,7,4]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>{{1,7},{2},{3,4,5,6}}=>[4,2,1]
[2,6,5,1,4,3,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>{{1,3,4,5,6},{2},{7}}=>[5,1,1]
[2,6,5,1,4,7,3]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>{{1,7},{2},{3,4,5,6}}=>[4,2,1]
[2,6,5,1,7,3,4]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>{{1,3,7},{2},{4,5,6}}=>[3,3,1]
[2,6,5,1,7,4,3]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>{{1,3,7},{2},{4,5,6}}=>[3,3,1]
[2,6,5,3,1,4,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>{{1,3,4,5,6},{2},{7}}=>[5,1,1]
[2,6,5,3,1,7,4]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>{{1,7},{2},{3,4,5,6}}=>[4,2,1]
[2,6,5,3,4,1,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>{{1,3,4,5,6},{2},{7}}=>[5,1,1]
[2,6,5,3,4,7,1]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>{{1,7},{2},{3,4,5,6}}=>[4,2,1]
[2,6,5,3,7,1,4]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>{{1,3,7},{2},{4,5,6}}=>[3,3,1]
[2,6,5,3,7,4,1]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>{{1,3,7},{2},{4,5,6}}=>[3,3,1]
[2,6,5,4,1,3,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>{{1,3,4,5,6},{2},{7}}=>[5,1,1]
[2,6,5,4,1,7,3]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>{{1,7},{2},{3,4,5,6}}=>[4,2,1]
[2,6,5,4,3,1,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>{{1,3,4,5,6},{2},{7}}=>[5,1,1]
[2,6,5,4,3,7,1]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>{{1,7},{2},{3,4,5,6}}=>[4,2,1]
[2,6,5,4,7,1,3]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>{{1,3,7},{2},{4,5,6}}=>[3,3,1]
[2,6,5,4,7,3,1]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>{{1,3,7},{2},{4,5,6}}=>[3,3,1]
[2,6,5,7,1,3,4]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>{{1,3,4,7},{2},{5,6}}=>[4,2,1]
[2,6,5,7,1,4,3]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>{{1,3,4,7},{2},{5,6}}=>[4,2,1]
[2,6,5,7,3,1,4]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>{{1,3,4,7},{2},{5,6}}=>[4,2,1]
[2,6,5,7,3,4,1]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>{{1,3,4,7},{2},{5,6}}=>[4,2,1]
[2,6,5,7,4,1,3]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>{{1,3,4,7},{2},{5,6}}=>[4,2,1]
[2,6,5,7,4,3,1]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>{{1,3,4,7},{2},{5,6}}=>[4,2,1]
[2,6,7,1,3,4,5]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>{{1,3,4,5,7},{2},{6}}=>[5,1,1]
[2,6,7,1,3,5,4]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>{{1,3,4,5,7},{2},{6}}=>[5,1,1]
[2,6,7,1,4,3,5]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>{{1,3,4,5,7},{2},{6}}=>[5,1,1]
[2,6,7,1,4,5,3]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>{{1,3,4,5,7},{2},{6}}=>[5,1,1]
[2,6,7,1,5,3,4]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>{{1,3,4,5,7},{2},{6}}=>[5,1,1]
[2,6,7,1,5,4,3]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>{{1,3,4,5,7},{2},{6}}=>[5,1,1]
[2,6,7,3,1,4,5]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>{{1,3,4,5,7},{2},{6}}=>[5,1,1]
[2,6,7,3,1,5,4]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>{{1,3,4,5,7},{2},{6}}=>[5,1,1]
[2,6,7,3,4,1,5]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>{{1,3,4,5,7},{2},{6}}=>[5,1,1]
[2,6,7,3,4,5,1]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>{{1,3,4,5,7},{2},{6}}=>[5,1,1]
[2,6,7,3,5,1,4]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>{{1,3,4,5,7},{2},{6}}=>[5,1,1]
[2,6,7,3,5,4,1]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>{{1,3,4,5,7},{2},{6}}=>[5,1,1]
[2,6,7,4,1,3,5]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>{{1,3,4,5,7},{2},{6}}=>[5,1,1]
[2,6,7,4,1,5,3]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>{{1,3,4,5,7},{2},{6}}=>[5,1,1]
[2,6,7,4,3,1,5]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>{{1,3,4,5,7},{2},{6}}=>[5,1,1]
[2,6,7,4,3,5,1]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>{{1,3,4,5,7},{2},{6}}=>[5,1,1]
[2,6,7,4,5,1,3]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>{{1,3,4,5,7},{2},{6}}=>[5,1,1]
[2,6,7,4,5,3,1]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>{{1,3,4,5,7},{2},{6}}=>[5,1,1]
[2,6,7,5,1,3,4]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>{{1,3,4,5,7},{2},{6}}=>[5,1,1]
[2,6,7,5,1,4,3]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>{{1,3,4,5,7},{2},{6}}=>[5,1,1]
[2,6,7,5,3,1,4]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>{{1,3,4,5,7},{2},{6}}=>[5,1,1]
[2,6,7,5,3,4,1]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>{{1,3,4,5,7},{2},{6}}=>[5,1,1]
[2,6,7,5,4,1,3]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>{{1,3,4,5,7},{2},{6}}=>[5,1,1]
[2,6,7,5,4,3,1]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>{{1,3,4,5,7},{2},{6}}=>[5,1,1]
[2,7,1,3,4,5,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,3,4,5,6,7},{2}}=>[6,1]
[2,7,1,3,4,6,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,3,4,5,6,7},{2}}=>[6,1]
[2,7,1,3,5,4,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,3,4,5,6,7},{2}}=>[6,1]
[2,7,1,3,5,6,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,3,4,5,6,7},{2}}=>[6,1]
[2,7,1,3,6,4,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,3,4,5,6,7},{2}}=>[6,1]
[2,7,1,3,6,5,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,3,4,5,6,7},{2}}=>[6,1]
[2,7,1,4,3,5,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,3,4,5,6,7},{2}}=>[6,1]
[2,7,1,4,3,6,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,3,4,5,6,7},{2}}=>[6,1]
[2,7,1,4,5,3,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,3,4,5,6,7},{2}}=>[6,1]
[2,7,1,4,5,6,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,3,4,5,6,7},{2}}=>[6,1]
[2,7,1,4,6,3,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,3,4,5,6,7},{2}}=>[6,1]
[2,7,1,4,6,5,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,3,4,5,6,7},{2}}=>[6,1]
[2,7,1,5,3,4,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,3,4,5,6,7},{2}}=>[6,1]
[2,7,1,5,3,6,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,3,4,5,6,7},{2}}=>[6,1]
[2,7,1,5,4,3,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,3,4,5,6,7},{2}}=>[6,1]
[2,7,1,5,4,6,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,3,4,5,6,7},{2}}=>[6,1]
[2,7,1,5,6,3,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,3,4,5,6,7},{2}}=>[6,1]
[2,7,1,5,6,4,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,3,4,5,6,7},{2}}=>[6,1]
[2,7,1,6,3,4,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,3,4,5,6,7},{2}}=>[6,1]
[2,7,1,6,3,5,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,3,4,5,6,7},{2}}=>[6,1]
[2,7,1,6,4,3,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,3,4,5,6,7},{2}}=>[6,1]
[2,7,1,6,4,5,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,3,4,5,6,7},{2}}=>[6,1]
[2,7,1,6,5,3,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,3,4,5,6,7},{2}}=>[6,1]
[2,7,1,6,5,4,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,3,4,5,6,7},{2}}=>[6,1]
[2,7,3,1,4,5,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,3,4,5,6,7},{2}}=>[6,1]
[2,7,3,1,4,6,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,3,4,5,6,7},{2}}=>[6,1]
[2,7,3,1,5,4,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,3,4,5,6,7},{2}}=>[6,1]
[2,7,3,1,5,6,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,3,4,5,6,7},{2}}=>[6,1]
[2,7,3,1,6,4,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,3,4,5,6,7},{2}}=>[6,1]
[2,7,3,1,6,5,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,3,4,5,6,7},{2}}=>[6,1]
[2,7,3,4,1,5,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,3,4,5,6,7},{2}}=>[6,1]
[2,7,3,4,1,6,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,3,4,5,6,7},{2}}=>[6,1]
[2,7,3,4,5,1,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,3,4,5,6,7},{2}}=>[6,1]
[2,7,3,4,5,6,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,3,4,5,6,7},{2}}=>[6,1]
[2,7,3,4,6,1,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,3,4,5,6,7},{2}}=>[6,1]
[2,7,3,4,6,5,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,3,4,5,6,7},{2}}=>[6,1]
[2,7,3,5,1,4,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,3,4,5,6,7},{2}}=>[6,1]
[2,7,3,5,1,6,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,3,4,5,6,7},{2}}=>[6,1]
[2,7,3,5,4,1,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,3,4,5,6,7},{2}}=>[6,1]
[2,7,3,5,4,6,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,3,4,5,6,7},{2}}=>[6,1]
[2,7,3,5,6,1,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,3,4,5,6,7},{2}}=>[6,1]
[2,7,3,5,6,4,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,3,4,5,6,7},{2}}=>[6,1]
[2,7,3,6,1,4,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,3,4,5,6,7},{2}}=>[6,1]
[2,7,3,6,1,5,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,3,4,5,6,7},{2}}=>[6,1]
[2,7,3,6,4,1,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,3,4,5,6,7},{2}}=>[6,1]
[2,7,3,6,4,5,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,3,4,5,6,7},{2}}=>[6,1]
[2,7,3,6,5,1,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,3,4,5,6,7},{2}}=>[6,1]
[2,7,3,6,5,4,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,3,4,5,6,7},{2}}=>[6,1]
[2,7,4,1,3,5,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,3,4,5,6,7},{2}}=>[6,1]
[2,7,4,1,3,6,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,3,4,5,6,7},{2}}=>[6,1]
[2,7,4,1,5,3,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,3,4,5,6,7},{2}}=>[6,1]
[2,7,4,1,5,6,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,3,4,5,6,7},{2}}=>[6,1]
[2,7,4,1,6,3,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,3,4,5,6,7},{2}}=>[6,1]
[2,7,4,1,6,5,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,3,4,5,6,7},{2}}=>[6,1]
[2,7,4,3,1,5,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,3,4,5,6,7},{2}}=>[6,1]
[2,7,4,3,1,6,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,3,4,5,6,7},{2}}=>[6,1]
[2,7,4,3,5,1,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,3,4,5,6,7},{2}}=>[6,1]
[2,7,4,3,5,6,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,3,4,5,6,7},{2}}=>[6,1]
[2,7,4,3,6,1,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,3,4,5,6,7},{2}}=>[6,1]
[2,7,4,3,6,5,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,3,4,5,6,7},{2}}=>[6,1]
[2,7,4,5,1,3,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,3,4,5,6,7},{2}}=>[6,1]
[2,7,4,5,1,6,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,3,4,5,6,7},{2}}=>[6,1]
[2,7,4,5,3,1,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,3,4,5,6,7},{2}}=>[6,1]
[2,7,4,5,3,6,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,3,4,5,6,7},{2}}=>[6,1]
[2,7,4,5,6,1,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,3,4,5,6,7},{2}}=>[6,1]
[2,7,4,5,6,3,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,3,4,5,6,7},{2}}=>[6,1]
[2,7,4,6,1,3,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,3,4,5,6,7},{2}}=>[6,1]
[2,7,4,6,1,5,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,3,4,5,6,7},{2}}=>[6,1]
[2,7,4,6,3,1,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,3,4,5,6,7},{2}}=>[6,1]
[2,7,4,6,3,5,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,3,4,5,6,7},{2}}=>[6,1]
[2,7,4,6,5,1,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,3,4,5,6,7},{2}}=>[6,1]
[2,7,4,6,5,3,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,3,4,5,6,7},{2}}=>[6,1]
[2,7,5,1,3,4,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,3,4,5,6,7},{2}}=>[6,1]
[2,7,5,1,3,6,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,3,4,5,6,7},{2}}=>[6,1]
[2,7,5,1,4,3,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,3,4,5,6,7},{2}}=>[6,1]
[2,7,5,1,4,6,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,3,4,5,6,7},{2}}=>[6,1]
[2,7,5,1,6,3,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,3,4,5,6,7},{2}}=>[6,1]
[2,7,5,1,6,4,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,3,4,5,6,7},{2}}=>[6,1]
[2,7,5,3,1,4,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,3,4,5,6,7},{2}}=>[6,1]
[2,7,5,3,1,6,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,3,4,5,6,7},{2}}=>[6,1]
[2,7,5,3,4,1,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,3,4,5,6,7},{2}}=>[6,1]
[2,7,5,3,4,6,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,3,4,5,6,7},{2}}=>[6,1]
[2,7,5,3,6,1,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,3,4,5,6,7},{2}}=>[6,1]
[2,7,5,3,6,4,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,3,4,5,6,7},{2}}=>[6,1]
[2,7,5,4,1,3,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,3,4,5,6,7},{2}}=>[6,1]
[2,7,5,4,1,6,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,3,4,5,6,7},{2}}=>[6,1]
[2,7,5,4,3,1,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,3,4,5,6,7},{2}}=>[6,1]
[2,7,5,4,3,6,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,3,4,5,6,7},{2}}=>[6,1]
[2,7,5,4,6,1,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,3,4,5,6,7},{2}}=>[6,1]
[2,7,5,4,6,3,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,3,4,5,6,7},{2}}=>[6,1]
[2,7,5,6,1,3,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,3,4,5,6,7},{2}}=>[6,1]
[2,7,5,6,1,4,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,3,4,5,6,7},{2}}=>[6,1]
[2,7,5,6,3,1,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,3,4,5,6,7},{2}}=>[6,1]
[2,7,5,6,3,4,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,3,4,5,6,7},{2}}=>[6,1]
[2,7,5,6,4,1,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,3,4,5,6,7},{2}}=>[6,1]
[2,7,5,6,4,3,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,3,4,5,6,7},{2}}=>[6,1]
[2,7,6,1,3,4,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,3,4,5,6,7},{2}}=>[6,1]
[2,7,6,1,3,5,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,3,4,5,6,7},{2}}=>[6,1]
[2,7,6,1,4,3,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,3,4,5,6,7},{2}}=>[6,1]
[2,7,6,1,4,5,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,3,4,5,6,7},{2}}=>[6,1]
[2,7,6,1,5,3,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,3,4,5,6,7},{2}}=>[6,1]
[2,7,6,1,5,4,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,3,4,5,6,7},{2}}=>[6,1]
[2,7,6,3,1,4,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,3,4,5,6,7},{2}}=>[6,1]
[2,7,6,3,1,5,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,3,4,5,6,7},{2}}=>[6,1]
[2,7,6,3,4,1,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,3,4,5,6,7},{2}}=>[6,1]
[2,7,6,3,4,5,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,3,4,5,6,7},{2}}=>[6,1]
[2,7,6,3,5,1,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,3,4,5,6,7},{2}}=>[6,1]
[2,7,6,3,5,4,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,3,4,5,6,7},{2}}=>[6,1]
[2,7,6,4,1,3,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,3,4,5,6,7},{2}}=>[6,1]
[2,7,6,4,1,5,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,3,4,5,6,7},{2}}=>[6,1]
[2,7,6,4,3,1,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,3,4,5,6,7},{2}}=>[6,1]
[2,7,6,4,3,5,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,3,4,5,6,7},{2}}=>[6,1]
[2,7,6,4,5,1,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,3,4,5,6,7},{2}}=>[6,1]
[2,7,6,4,5,3,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,3,4,5,6,7},{2}}=>[6,1]
[2,7,6,5,1,3,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,3,4,5,6,7},{2}}=>[6,1]
[2,7,6,5,1,4,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,3,4,5,6,7},{2}}=>[6,1]
[2,7,6,5,3,1,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,3,4,5,6,7},{2}}=>[6,1]
[2,7,6,5,3,4,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,3,4,5,6,7},{2}}=>[6,1]
[2,7,6,5,4,1,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,3,4,5,6,7},{2}}=>[6,1]
[2,7,6,5,4,3,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,3,4,5,6,7},{2}}=>[6,1]
[3,1,2,4,5,6,7]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>{{1,2,3},{4},{5},{6},{7}}=>[3,1,1,1,1]
[3,1,2,4,5,7,6]=>[1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>{{1,2,3},{4},{5},{6,7}}=>[3,2,1,1]
[3,1,2,4,6,5,7]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>{{1,2,3},{4},{5,6},{7}}=>[3,2,1,1]
[3,1,2,4,6,7,5]=>[1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>{{1,2,3},{4},{5,7},{6}}=>[3,2,1,1]
[3,1,2,4,7,5,6]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>{{1,2,3},{4},{5,6,7}}=>[3,3,1]
[3,1,2,4,7,6,5]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>{{1,2,3},{4},{5,6,7}}=>[3,3,1]
[3,1,2,5,4,6,7]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>{{1,2,3},{4,5},{6},{7}}=>[3,2,1,1]
[3,1,2,5,4,7,6]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>{{1,2,3},{4,5},{6,7}}=>[3,2,2]
[3,1,2,5,6,4,7]=>[1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>{{1,2,3},{4,6},{5},{7}}=>[3,2,1,1]
[3,1,2,5,6,7,4]=>[1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>{{1,2,3},{4,7},{5},{6}}=>[3,2,1,1]
[3,1,2,5,7,4,6]=>[1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>{{1,2,3},{4,6,7},{5}}=>[3,3,1]
[3,1,2,5,7,6,4]=>[1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>{{1,2,3},{4,6,7},{5}}=>[3,3,1]
[3,1,2,6,4,5,7]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>{{1,2,3},{4,5,6},{7}}=>[3,3,1]
[3,1,2,6,4,7,5]=>[1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>{{1,2,3},{4,7},{5,6}}=>[3,2,2]
[3,1,2,6,5,4,7]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>{{1,2,3},{4,5,6},{7}}=>[3,3,1]
[3,1,2,6,5,7,4]=>[1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>{{1,2,3},{4,7},{5,6}}=>[3,2,2]
[3,1,2,6,7,4,5]=>[1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>{{1,2,3},{4,5,7},{6}}=>[3,3,1]
[3,1,2,6,7,5,4]=>[1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>{{1,2,3},{4,5,7},{6}}=>[3,3,1]
[3,1,2,7,4,5,6]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>{{1,2,3},{4,5,6,7}}=>[4,3]
[3,1,2,7,4,6,5]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>{{1,2,3},{4,5,6,7}}=>[4,3]
[3,1,2,7,5,4,6]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>{{1,2,3},{4,5,6,7}}=>[4,3]
[3,1,2,7,5,6,4]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>{{1,2,3},{4,5,6,7}}=>[4,3]
[3,1,2,7,6,4,5]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>{{1,2,3},{4,5,6,7}}=>[4,3]
[3,1,2,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>{{1,2,3},{4,5,6,7}}=>[4,3]
[3,1,4,2,5,6,7]=>[1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>{{1,4},{2,3},{5},{6},{7}}=>[2,2,1,1,1]
[3,1,4,2,5,7,6]=>[1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>{{1,4},{2,3},{5},{6,7}}=>[2,2,2,1]
[3,1,4,2,6,5,7]=>[1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>{{1,4},{2,3},{5,6},{7}}=>[2,2,2,1]
[3,1,4,2,6,7,5]=>[1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>{{1,4},{2,3},{5,7},{6}}=>[2,2,2,1]
[3,1,4,2,7,5,6]=>[1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>{{1,4},{2,3},{5,6,7}}=>[3,2,2]
[3,1,4,2,7,6,5]=>[1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>{{1,4},{2,3},{5,6,7}}=>[3,2,2]
[3,1,4,5,2,6,7]=>[1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>{{1,5},{2,3},{4},{6},{7}}=>[2,2,1,1,1]
[3,1,4,5,2,7,6]=>[1,1,1,0,0,1,0,1,0,0,1,1,0,0]=>{{1,5},{2,3},{4},{6,7}}=>[2,2,2,1]
[3,1,4,5,6,2,7]=>[1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>{{1,6},{2,3},{4},{5},{7}}=>[2,2,1,1,1]
[3,1,4,5,6,7,2]=>[1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>{{1,7},{2,3},{4},{5},{6}}=>[2,2,1,1,1]
[3,1,4,5,7,2,6]=>[1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>{{1,6,7},{2,3},{4},{5}}=>[3,2,1,1]
[3,1,4,5,7,6,2]=>[1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>{{1,6,7},{2,3},{4},{5}}=>[3,2,1,1]
[3,1,4,6,2,5,7]=>[1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>{{1,5,6},{2,3},{4},{7}}=>[3,2,1,1]
[3,1,4,6,2,7,5]=>[1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>{{1,7},{2,3},{4},{5,6}}=>[2,2,2,1]
[3,1,4,6,5,2,7]=>[1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>{{1,5,6},{2,3},{4},{7}}=>[3,2,1,1]
[3,1,4,6,5,7,2]=>[1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>{{1,7},{2,3},{4},{5,6}}=>[2,2,2,1]
[3,1,4,6,7,2,5]=>[1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>{{1,5,7},{2,3},{4},{6}}=>[3,2,1,1]
[3,1,4,6,7,5,2]=>[1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>{{1,5,7},{2,3},{4},{6}}=>[3,2,1,1]
[3,1,4,7,2,5,6]=>[1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>{{1,5,6,7},{2,3},{4}}=>[4,2,1]
[3,1,4,7,2,6,5]=>[1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>{{1,5,6,7},{2,3},{4}}=>[4,2,1]
[3,1,4,7,5,2,6]=>[1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>{{1,5,6,7},{2,3},{4}}=>[4,2,1]
[3,1,4,7,5,6,2]=>[1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>{{1,5,6,7},{2,3},{4}}=>[4,2,1]
[3,1,4,7,6,2,5]=>[1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>{{1,5,6,7},{2,3},{4}}=>[4,2,1]
[3,1,4,7,6,5,2]=>[1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>{{1,5,6,7},{2,3},{4}}=>[4,2,1]
[3,1,5,2,4,6,7]=>[1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>{{1,4,5},{2,3},{6},{7}}=>[3,2,1,1]
[3,1,5,2,4,7,6]=>[1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>{{1,4,5},{2,3},{6,7}}=>[3,2,2]
[3,1,5,2,6,4,7]=>[1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>{{1,6},{2,3},{4,5},{7}}=>[2,2,2,1]
[3,1,5,2,6,7,4]=>[1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>{{1,7},{2,3},{4,5},{6}}=>[2,2,2,1]
[3,1,5,2,7,4,6]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>{{1,6,7},{2,3},{4,5}}=>[3,2,2]
[3,1,5,2,7,6,4]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>{{1,6,7},{2,3},{4,5}}=>[3,2,2]
[3,1,5,4,2,6,7]=>[1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>{{1,4,5},{2,3},{6},{7}}=>[3,2,1,1]
[3,1,5,4,2,7,6]=>[1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>{{1,4,5},{2,3},{6,7}}=>[3,2,2]
[3,1,5,4,6,2,7]=>[1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>{{1,6},{2,3},{4,5},{7}}=>[2,2,2,1]
[3,1,5,4,6,7,2]=>[1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>{{1,7},{2,3},{4,5},{6}}=>[2,2,2,1]
[3,1,5,4,7,2,6]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>{{1,6,7},{2,3},{4,5}}=>[3,2,2]
[3,1,5,4,7,6,2]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>{{1,6,7},{2,3},{4,5}}=>[3,2,2]
[3,1,5,6,2,4,7]=>[1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>{{1,4,6},{2,3},{5},{7}}=>[3,2,1,1]
[3,1,5,6,2,7,4]=>[1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>{{1,7},{2,3},{4,6},{5}}=>[2,2,2,1]
[3,1,5,6,4,2,7]=>[1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>{{1,4,6},{2,3},{5},{7}}=>[3,2,1,1]
[3,1,5,6,4,7,2]=>[1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>{{1,7},{2,3},{4,6},{5}}=>[2,2,2,1]
[3,1,5,6,7,2,4]=>[1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>{{1,4,7},{2,3},{5},{6}}=>[3,2,1,1]
[3,1,5,6,7,4,2]=>[1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>{{1,4,7},{2,3},{5},{6}}=>[3,2,1,1]
[3,1,5,7,2,4,6]=>[1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>{{1,4,6,7},{2,3},{5}}=>[4,2,1]
[3,1,5,7,2,6,4]=>[1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>{{1,4,6,7},{2,3},{5}}=>[4,2,1]
[3,1,5,7,4,2,6]=>[1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>{{1,4,6,7},{2,3},{5}}=>[4,2,1]
[3,1,5,7,4,6,2]=>[1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>{{1,4,6,7},{2,3},{5}}=>[4,2,1]
[3,1,5,7,6,2,4]=>[1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>{{1,4,6,7},{2,3},{5}}=>[4,2,1]
[3,1,5,7,6,4,2]=>[1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>{{1,4,6,7},{2,3},{5}}=>[4,2,1]
[3,1,6,2,4,5,7]=>[1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>{{1,4,5,6},{2,3},{7}}=>[4,2,1]
[3,1,6,2,4,7,5]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>{{1,7},{2,3},{4,5,6}}=>[3,2,2]
[3,1,6,2,5,4,7]=>[1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>{{1,4,5,6},{2,3},{7}}=>[4,2,1]
[3,1,6,2,5,7,4]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>{{1,7},{2,3},{4,5,6}}=>[3,2,2]
[3,1,6,2,7,4,5]=>[1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>{{1,4,7},{2,3},{5,6}}=>[3,2,2]
[3,1,6,2,7,5,4]=>[1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>{{1,4,7},{2,3},{5,6}}=>[3,2,2]
[3,1,6,4,2,5,7]=>[1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>{{1,4,5,6},{2,3},{7}}=>[4,2,1]
[3,1,6,4,2,7,5]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>{{1,7},{2,3},{4,5,6}}=>[3,2,2]
[3,1,6,4,5,2,7]=>[1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>{{1,4,5,6},{2,3},{7}}=>[4,2,1]
[3,1,6,4,5,7,2]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>{{1,7},{2,3},{4,5,6}}=>[3,2,2]
[3,1,6,4,7,2,5]=>[1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>{{1,4,7},{2,3},{5,6}}=>[3,2,2]
[3,1,6,4,7,5,2]=>[1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>{{1,4,7},{2,3},{5,6}}=>[3,2,2]
[3,1,6,5,2,4,7]=>[1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>{{1,4,5,6},{2,3},{7}}=>[4,2,1]
[3,1,6,5,2,7,4]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>{{1,7},{2,3},{4,5,6}}=>[3,2,2]
[3,1,6,5,4,2,7]=>[1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>{{1,4,5,6},{2,3},{7}}=>[4,2,1]
[3,1,6,5,4,7,2]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>{{1,7},{2,3},{4,5,6}}=>[3,2,2]
[3,1,6,5,7,2,4]=>[1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>{{1,4,7},{2,3},{5,6}}=>[3,2,2]
[3,1,6,5,7,4,2]=>[1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>{{1,4,7},{2,3},{5,6}}=>[3,2,2]
[3,1,6,7,2,4,5]=>[1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>{{1,4,5,7},{2,3},{6}}=>[4,2,1]
[3,1,6,7,2,5,4]=>[1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>{{1,4,5,7},{2,3},{6}}=>[4,2,1]
[3,1,6,7,4,2,5]=>[1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>{{1,4,5,7},{2,3},{6}}=>[4,2,1]
[3,1,6,7,4,5,2]=>[1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>{{1,4,5,7},{2,3},{6}}=>[4,2,1]
[3,1,6,7,5,2,4]=>[1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>{{1,4,5,7},{2,3},{6}}=>[4,2,1]
[3,1,6,7,5,4,2]=>[1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>{{1,4,5,7},{2,3},{6}}=>[4,2,1]
[3,1,7,2,4,5,6]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>{{1,4,5,6,7},{2,3}}=>[5,2]
[3,1,7,2,4,6,5]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>{{1,4,5,6,7},{2,3}}=>[5,2]
[3,1,7,2,5,4,6]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>{{1,4,5,6,7},{2,3}}=>[5,2]
[3,1,7,2,5,6,4]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>{{1,4,5,6,7},{2,3}}=>[5,2]
[3,1,7,2,6,4,5]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>{{1,4,5,6,7},{2,3}}=>[5,2]
[3,1,7,2,6,5,4]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>{{1,4,5,6,7},{2,3}}=>[5,2]
[3,1,7,4,2,5,6]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>{{1,4,5,6,7},{2,3}}=>[5,2]
[3,1,7,4,2,6,5]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>{{1,4,5,6,7},{2,3}}=>[5,2]
[3,1,7,4,5,2,6]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>{{1,4,5,6,7},{2,3}}=>[5,2]
[3,1,7,4,5,6,2]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>{{1,4,5,6,7},{2,3}}=>[5,2]
[3,1,7,4,6,2,5]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>{{1,4,5,6,7},{2,3}}=>[5,2]
[3,1,7,4,6,5,2]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>{{1,4,5,6,7},{2,3}}=>[5,2]
[3,1,7,5,2,4,6]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>{{1,4,5,6,7},{2,3}}=>[5,2]
[3,1,7,5,2,6,4]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>{{1,4,5,6,7},{2,3}}=>[5,2]
[3,1,7,5,4,2,6]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>{{1,4,5,6,7},{2,3}}=>[5,2]
[3,1,7,5,4,6,2]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>{{1,4,5,6,7},{2,3}}=>[5,2]
[3,1,7,5,6,2,4]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>{{1,4,5,6,7},{2,3}}=>[5,2]
[3,1,7,5,6,4,2]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>{{1,4,5,6,7},{2,3}}=>[5,2]
[3,1,7,6,2,4,5]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>{{1,4,5,6,7},{2,3}}=>[5,2]
[3,1,7,6,2,5,4]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>{{1,4,5,6,7},{2,3}}=>[5,2]
[3,1,7,6,4,2,5]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>{{1,4,5,6,7},{2,3}}=>[5,2]
[3,1,7,6,4,5,2]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>{{1,4,5,6,7},{2,3}}=>[5,2]
[3,1,7,6,5,2,4]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>{{1,4,5,6,7},{2,3}}=>[5,2]
[3,1,7,6,5,4,2]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>{{1,4,5,6,7},{2,3}}=>[5,2]
[3,2,1,4,5,6,7]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>{{1,2,3},{4},{5},{6},{7}}=>[3,1,1,1,1]
[3,2,1,4,5,7,6]=>[1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>{{1,2,3},{4},{5},{6,7}}=>[3,2,1,1]
[3,2,1,4,6,5,7]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>{{1,2,3},{4},{5,6},{7}}=>[3,2,1,1]
[3,2,1,4,6,7,5]=>[1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>{{1,2,3},{4},{5,7},{6}}=>[3,2,1,1]
[3,2,1,4,7,5,6]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>{{1,2,3},{4},{5,6,7}}=>[3,3,1]
[3,2,1,4,7,6,5]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>{{1,2,3},{4},{5,6,7}}=>[3,3,1]
[3,2,1,5,4,6,7]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>{{1,2,3},{4,5},{6},{7}}=>[3,2,1,1]
[3,2,1,5,4,7,6]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>{{1,2,3},{4,5},{6,7}}=>[3,2,2]
[3,2,1,5,6,4,7]=>[1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>{{1,2,3},{4,6},{5},{7}}=>[3,2,1,1]
[3,2,1,5,6,7,4]=>[1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>{{1,2,3},{4,7},{5},{6}}=>[3,2,1,1]
[3,2,1,5,7,4,6]=>[1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>{{1,2,3},{4,6,7},{5}}=>[3,3,1]
[3,2,1,5,7,6,4]=>[1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>{{1,2,3},{4,6,7},{5}}=>[3,3,1]
[3,2,1,6,4,5,7]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>{{1,2,3},{4,5,6},{7}}=>[3,3,1]
[3,2,1,6,4,7,5]=>[1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>{{1,2,3},{4,7},{5,6}}=>[3,2,2]
[3,2,1,6,5,4,7]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>{{1,2,3},{4,5,6},{7}}=>[3,3,1]
[3,2,1,6,5,7,4]=>[1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>{{1,2,3},{4,7},{5,6}}=>[3,2,2]
[3,2,1,6,7,4,5]=>[1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>{{1,2,3},{4,5,7},{6}}=>[3,3,1]
[3,2,1,6,7,5,4]=>[1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>{{1,2,3},{4,5,7},{6}}=>[3,3,1]
[3,2,1,7,4,5,6]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>{{1,2,3},{4,5,6,7}}=>[4,3]
[3,2,1,7,4,6,5]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>{{1,2,3},{4,5,6,7}}=>[4,3]
[3,2,1,7,5,4,6]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>{{1,2,3},{4,5,6,7}}=>[4,3]
[3,2,1,7,5,6,4]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>{{1,2,3},{4,5,6,7}}=>[4,3]
[3,2,1,7,6,4,5]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>{{1,2,3},{4,5,6,7}}=>[4,3]
[3,2,1,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>{{1,2,3},{4,5,6,7}}=>[4,3]
[3,2,4,1,5,6,7]=>[1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>{{1,4},{2,3},{5},{6},{7}}=>[2,2,1,1,1]
[3,2,4,1,5,7,6]=>[1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>{{1,4},{2,3},{5},{6,7}}=>[2,2,2,1]
[3,2,4,1,6,5,7]=>[1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>{{1,4},{2,3},{5,6},{7}}=>[2,2,2,1]
[3,2,4,1,6,7,5]=>[1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>{{1,4},{2,3},{5,7},{6}}=>[2,2,2,1]
[3,2,4,1,7,5,6]=>[1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>{{1,4},{2,3},{5,6,7}}=>[3,2,2]
[3,2,4,1,7,6,5]=>[1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>{{1,4},{2,3},{5,6,7}}=>[3,2,2]
[3,2,4,5,1,6,7]=>[1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>{{1,5},{2,3},{4},{6},{7}}=>[2,2,1,1,1]
[3,2,4,5,1,7,6]=>[1,1,1,0,0,1,0,1,0,0,1,1,0,0]=>{{1,5},{2,3},{4},{6,7}}=>[2,2,2,1]
[3,2,4,5,6,1,7]=>[1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>{{1,6},{2,3},{4},{5},{7}}=>[2,2,1,1,1]
[3,2,4,5,6,7,1]=>[1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>{{1,7},{2,3},{4},{5},{6}}=>[2,2,1,1,1]
[3,2,4,5,7,1,6]=>[1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>{{1,6,7},{2,3},{4},{5}}=>[3,2,1,1]
[3,2,4,5,7,6,1]=>[1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>{{1,6,7},{2,3},{4},{5}}=>[3,2,1,1]
[3,2,4,6,1,5,7]=>[1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>{{1,5,6},{2,3},{4},{7}}=>[3,2,1,1]
[3,2,4,6,1,7,5]=>[1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>{{1,7},{2,3},{4},{5,6}}=>[2,2,2,1]
[3,2,4,6,5,1,7]=>[1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>{{1,5,6},{2,3},{4},{7}}=>[3,2,1,1]
[3,2,4,6,5,7,1]=>[1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>{{1,7},{2,3},{4},{5,6}}=>[2,2,2,1]
[3,2,4,6,7,1,5]=>[1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>{{1,5,7},{2,3},{4},{6}}=>[3,2,1,1]
[3,2,4,6,7,5,1]=>[1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>{{1,5,7},{2,3},{4},{6}}=>[3,2,1,1]
[3,2,4,7,1,5,6]=>[1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>{{1,5,6,7},{2,3},{4}}=>[4,2,1]
[3,2,4,7,1,6,5]=>[1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>{{1,5,6,7},{2,3},{4}}=>[4,2,1]
[3,2,4,7,5,1,6]=>[1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>{{1,5,6,7},{2,3},{4}}=>[4,2,1]
[3,2,4,7,5,6,1]=>[1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>{{1,5,6,7},{2,3},{4}}=>[4,2,1]
[3,2,4,7,6,1,5]=>[1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>{{1,5,6,7},{2,3},{4}}=>[4,2,1]
[3,2,4,7,6,5,1]=>[1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>{{1,5,6,7},{2,3},{4}}=>[4,2,1]
[3,2,5,1,4,6,7]=>[1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>{{1,4,5},{2,3},{6},{7}}=>[3,2,1,1]
[3,2,5,1,4,7,6]=>[1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>{{1,4,5},{2,3},{6,7}}=>[3,2,2]
[3,2,5,1,6,4,7]=>[1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>{{1,6},{2,3},{4,5},{7}}=>[2,2,2,1]
[3,2,5,1,6,7,4]=>[1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>{{1,7},{2,3},{4,5},{6}}=>[2,2,2,1]
[3,2,5,1,7,4,6]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>{{1,6,7},{2,3},{4,5}}=>[3,2,2]
[3,2,5,1,7,6,4]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>{{1,6,7},{2,3},{4,5}}=>[3,2,2]
[3,2,5,4,1,6,7]=>[1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>{{1,4,5},{2,3},{6},{7}}=>[3,2,1,1]
[3,2,5,4,1,7,6]=>[1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>{{1,4,5},{2,3},{6,7}}=>[3,2,2]
[3,2,5,4,6,1,7]=>[1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>{{1,6},{2,3},{4,5},{7}}=>[2,2,2,1]
[3,2,5,4,6,7,1]=>[1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>{{1,7},{2,3},{4,5},{6}}=>[2,2,2,1]
[3,2,5,4,7,1,6]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>{{1,6,7},{2,3},{4,5}}=>[3,2,2]
[3,2,5,4,7,6,1]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>{{1,6,7},{2,3},{4,5}}=>[3,2,2]
[3,2,5,6,1,4,7]=>[1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>{{1,4,6},{2,3},{5},{7}}=>[3,2,1,1]
[3,2,5,6,1,7,4]=>[1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>{{1,7},{2,3},{4,6},{5}}=>[2,2,2,1]
[3,2,5,6,4,1,7]=>[1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>{{1,4,6},{2,3},{5},{7}}=>[3,2,1,1]
[3,2,5,6,4,7,1]=>[1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>{{1,7},{2,3},{4,6},{5}}=>[2,2,2,1]
[3,2,5,6,7,1,4]=>[1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>{{1,4,7},{2,3},{5},{6}}=>[3,2,1,1]
[3,2,5,6,7,4,1]=>[1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>{{1,4,7},{2,3},{5},{6}}=>[3,2,1,1]
[3,2,5,7,1,4,6]=>[1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>{{1,4,6,7},{2,3},{5}}=>[4,2,1]
[3,2,5,7,1,6,4]=>[1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>{{1,4,6,7},{2,3},{5}}=>[4,2,1]
[3,2,5,7,4,1,6]=>[1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>{{1,4,6,7},{2,3},{5}}=>[4,2,1]
[3,2,5,7,4,6,1]=>[1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>{{1,4,6,7},{2,3},{5}}=>[4,2,1]
[3,2,5,7,6,1,4]=>[1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>{{1,4,6,7},{2,3},{5}}=>[4,2,1]
[3,2,5,7,6,4,1]=>[1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>{{1,4,6,7},{2,3},{5}}=>[4,2,1]
[3,2,6,1,4,5,7]=>[1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>{{1,4,5,6},{2,3},{7}}=>[4,2,1]
[3,2,6,1,4,7,5]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>{{1,7},{2,3},{4,5,6}}=>[3,2,2]
[3,2,6,1,5,4,7]=>[1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>{{1,4,5,6},{2,3},{7}}=>[4,2,1]
[3,2,6,1,5,7,4]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>{{1,7},{2,3},{4,5,6}}=>[3,2,2]
[3,2,6,1,7,4,5]=>[1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>{{1,4,7},{2,3},{5,6}}=>[3,2,2]
[3,2,6,1,7,5,4]=>[1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>{{1,4,7},{2,3},{5,6}}=>[3,2,2]
[3,2,6,4,1,5,7]=>[1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>{{1,4,5,6},{2,3},{7}}=>[4,2,1]
[3,2,6,4,1,7,5]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>{{1,7},{2,3},{4,5,6}}=>[3,2,2]
[3,2,6,4,5,1,7]=>[1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>{{1,4,5,6},{2,3},{7}}=>[4,2,1]
[3,2,6,4,5,7,1]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>{{1,7},{2,3},{4,5,6}}=>[3,2,2]
[3,2,6,4,7,1,5]=>[1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>{{1,4,7},{2,3},{5,6}}=>[3,2,2]
[3,2,6,4,7,5,1]=>[1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>{{1,4,7},{2,3},{5,6}}=>[3,2,2]
[3,2,6,5,1,4,7]=>[1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>{{1,4,5,6},{2,3},{7}}=>[4,2,1]
[3,2,6,5,1,7,4]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>{{1,7},{2,3},{4,5,6}}=>[3,2,2]
[3,2,6,5,4,1,7]=>[1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>{{1,4,5,6},{2,3},{7}}=>[4,2,1]
[3,2,6,5,4,7,1]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>{{1,7},{2,3},{4,5,6}}=>[3,2,2]
[3,2,6,5,7,1,4]=>[1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>{{1,4,7},{2,3},{5,6}}=>[3,2,2]
[3,2,6,5,7,4,1]=>[1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>{{1,4,7},{2,3},{5,6}}=>[3,2,2]
[3,2,6,7,1,4,5]=>[1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>{{1,4,5,7},{2,3},{6}}=>[4,2,1]
[3,2,6,7,1,5,4]=>[1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>{{1,4,5,7},{2,3},{6}}=>[4,2,1]
[3,2,6,7,4,1,5]=>[1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>{{1,4,5,7},{2,3},{6}}=>[4,2,1]
[3,2,6,7,4,5,1]=>[1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>{{1,4,5,7},{2,3},{6}}=>[4,2,1]
[3,2,6,7,5,1,4]=>[1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>{{1,4,5,7},{2,3},{6}}=>[4,2,1]
[3,2,6,7,5,4,1]=>[1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>{{1,4,5,7},{2,3},{6}}=>[4,2,1]
[3,2,7,1,4,5,6]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>{{1,4,5,6,7},{2,3}}=>[5,2]
[3,2,7,1,4,6,5]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>{{1,4,5,6,7},{2,3}}=>[5,2]
[3,2,7,1,5,4,6]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>{{1,4,5,6,7},{2,3}}=>[5,2]
[3,2,7,1,5,6,4]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>{{1,4,5,6,7},{2,3}}=>[5,2]
[3,2,7,1,6,4,5]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>{{1,4,5,6,7},{2,3}}=>[5,2]
[3,2,7,1,6,5,4]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>{{1,4,5,6,7},{2,3}}=>[5,2]
[3,2,7,4,1,5,6]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>{{1,4,5,6,7},{2,3}}=>[5,2]
[3,2,7,4,1,6,5]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>{{1,4,5,6,7},{2,3}}=>[5,2]
[3,2,7,4,5,1,6]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>{{1,4,5,6,7},{2,3}}=>[5,2]
[3,2,7,4,5,6,1]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>{{1,4,5,6,7},{2,3}}=>[5,2]
[3,2,7,4,6,1,5]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>{{1,4,5,6,7},{2,3}}=>[5,2]
[3,2,7,4,6,5,1]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>{{1,4,5,6,7},{2,3}}=>[5,2]
[3,2,7,5,1,4,6]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>{{1,4,5,6,7},{2,3}}=>[5,2]
[3,2,7,5,1,6,4]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>{{1,4,5,6,7},{2,3}}=>[5,2]
[3,2,7,5,4,1,6]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>{{1,4,5,6,7},{2,3}}=>[5,2]
[3,2,7,5,4,6,1]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>{{1,4,5,6,7},{2,3}}=>[5,2]
[3,2,7,5,6,1,4]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>{{1,4,5,6,7},{2,3}}=>[5,2]
[3,2,7,5,6,4,1]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>{{1,4,5,6,7},{2,3}}=>[5,2]
[3,2,7,6,1,4,5]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>{{1,4,5,6,7},{2,3}}=>[5,2]
[3,2,7,6,1,5,4]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>{{1,4,5,6,7},{2,3}}=>[5,2]
[3,2,7,6,4,1,5]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>{{1,4,5,6,7},{2,3}}=>[5,2]
[3,2,7,6,4,5,1]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>{{1,4,5,6,7},{2,3}}=>[5,2]
[3,2,7,6,5,1,4]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>{{1,4,5,6,7},{2,3}}=>[5,2]
[3,2,7,6,5,4,1]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>{{1,4,5,6,7},{2,3}}=>[5,2]
[3,4,1,2,5,6,7]=>[1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>{{1,2,4},{3},{5},{6},{7}}=>[3,1,1,1,1]
[3,4,1,2,5,7,6]=>[1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>{{1,2,4},{3},{5},{6,7}}=>[3,2,1,1]
[3,4,1,2,6,5,7]=>[1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>{{1,2,4},{3},{5,6},{7}}=>[3,2,1,1]
[3,4,1,2,6,7,5]=>[1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>{{1,2,4},{3},{5,7},{6}}=>[3,2,1,1]
[3,4,1,2,7,5,6]=>[1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>{{1,2,4},{3},{5,6,7}}=>[3,3,1]
[3,4,1,2,7,6,5]=>[1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>{{1,2,4},{3},{5,6,7}}=>[3,3,1]
[3,4,1,5,2,6,7]=>[1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>{{1,5},{2,4},{3},{6},{7}}=>[2,2,1,1,1]
[3,4,1,5,2,7,6]=>[1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>{{1,5},{2,4},{3},{6,7}}=>[2,2,2,1]
[3,4,1,5,6,2,7]=>[1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>{{1,6},{2,4},{3},{5},{7}}=>[2,2,1,1,1]
[3,4,1,5,6,7,2]=>[1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>{{1,7},{2,4},{3},{5},{6}}=>[2,2,1,1,1]
[3,4,1,5,7,2,6]=>[1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>{{1,6,7},{2,4},{3},{5}}=>[3,2,1,1]
[3,4,1,5,7,6,2]=>[1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>{{1,6,7},{2,4},{3},{5}}=>[3,2,1,1]
[3,4,1,6,2,5,7]=>[1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>{{1,5,6},{2,4},{3},{7}}=>[3,2,1,1]
[3,4,1,6,2,7,5]=>[1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>{{1,7},{2,4},{3},{5,6}}=>[2,2,2,1]
[3,4,1,6,5,2,7]=>[1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>{{1,5,6},{2,4},{3},{7}}=>[3,2,1,1]
[3,4,1,6,5,7,2]=>[1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>{{1,7},{2,4},{3},{5,6}}=>[2,2,2,1]
[3,4,1,6,7,2,5]=>[1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>{{1,5,7},{2,4},{3},{6}}=>[3,2,1,1]
[3,4,1,6,7,5,2]=>[1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>{{1,5,7},{2,4},{3},{6}}=>[3,2,1,1]
[3,4,1,7,2,5,6]=>[1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>{{1,5,6,7},{2,4},{3}}=>[4,2,1]
[3,4,1,7,2,6,5]=>[1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>{{1,5,6,7},{2,4},{3}}=>[4,2,1]
[3,4,1,7,5,2,6]=>[1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>{{1,5,6,7},{2,4},{3}}=>[4,2,1]
[3,4,1,7,5,6,2]=>[1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>{{1,5,6,7},{2,4},{3}}=>[4,2,1]
[3,4,1,7,6,2,5]=>[1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>{{1,5,6,7},{2,4},{3}}=>[4,2,1]
[3,4,1,7,6,5,2]=>[1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>{{1,5,6,7},{2,4},{3}}=>[4,2,1]
[3,4,2,1,5,6,7]=>[1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>{{1,2,4},{3},{5},{6},{7}}=>[3,1,1,1,1]
[3,4,2,1,5,7,6]=>[1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>{{1,2,4},{3},{5},{6,7}}=>[3,2,1,1]
[3,4,2,1,6,5,7]=>[1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>{{1,2,4},{3},{5,6},{7}}=>[3,2,1,1]
[3,4,2,1,6,7,5]=>[1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>{{1,2,4},{3},{5,7},{6}}=>[3,2,1,1]
[3,4,2,1,7,5,6]=>[1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>{{1,2,4},{3},{5,6,7}}=>[3,3,1]
[3,4,2,1,7,6,5]=>[1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>{{1,2,4},{3},{5,6,7}}=>[3,3,1]
[3,4,2,5,1,6,7]=>[1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>{{1,5},{2,4},{3},{6},{7}}=>[2,2,1,1,1]
[3,4,2,5,1,7,6]=>[1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>{{1,5},{2,4},{3},{6,7}}=>[2,2,2,1]
[3,4,2,5,6,1,7]=>[1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>{{1,6},{2,4},{3},{5},{7}}=>[2,2,1,1,1]
[3,4,2,5,6,7,1]=>[1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>{{1,7},{2,4},{3},{5},{6}}=>[2,2,1,1,1]
[3,4,2,5,7,1,6]=>[1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>{{1,6,7},{2,4},{3},{5}}=>[3,2,1,1]
[3,4,2,5,7,6,1]=>[1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>{{1,6,7},{2,4},{3},{5}}=>[3,2,1,1]
[3,4,2,6,1,5,7]=>[1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>{{1,5,6},{2,4},{3},{7}}=>[3,2,1,1]
[3,4,2,6,1,7,5]=>[1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>{{1,7},{2,4},{3},{5,6}}=>[2,2,2,1]
[3,4,2,6,5,1,7]=>[1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>{{1,5,6},{2,4},{3},{7}}=>[3,2,1,1]
[3,4,2,6,5,7,1]=>[1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>{{1,7},{2,4},{3},{5,6}}=>[2,2,2,1]
[3,4,2,6,7,1,5]=>[1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>{{1,5,7},{2,4},{3},{6}}=>[3,2,1,1]
[3,4,2,6,7,5,1]=>[1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>{{1,5,7},{2,4},{3},{6}}=>[3,2,1,1]
[3,4,2,7,1,5,6]=>[1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>{{1,5,6,7},{2,4},{3}}=>[4,2,1]
[3,4,2,7,1,6,5]=>[1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>{{1,5,6,7},{2,4},{3}}=>[4,2,1]
[3,4,2,7,5,1,6]=>[1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>{{1,5,6,7},{2,4},{3}}=>[4,2,1]
[3,4,2,7,5,6,1]=>[1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>{{1,5,6,7},{2,4},{3}}=>[4,2,1]
[3,4,2,7,6,1,5]=>[1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>{{1,5,6,7},{2,4},{3}}=>[4,2,1]
[3,4,2,7,6,5,1]=>[1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>{{1,5,6,7},{2,4},{3}}=>[4,2,1]
[3,4,5,1,2,6,7]=>[1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>{{1,2,5},{3},{4},{6},{7}}=>[3,1,1,1,1]
[3,4,5,1,2,7,6]=>[1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>{{1,2,5},{3},{4},{6,7}}=>[3,2,1,1]
[3,4,5,1,6,2,7]=>[1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>{{1,6},{2,5},{3},{4},{7}}=>[2,2,1,1,1]
[3,4,5,1,6,7,2]=>[1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>{{1,7},{2,5},{3},{4},{6}}=>[2,2,1,1,1]
[3,4,5,1,7,2,6]=>[1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>{{1,6,7},{2,5},{3},{4}}=>[3,2,1,1]
[3,4,5,1,7,6,2]=>[1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>{{1,6,7},{2,5},{3},{4}}=>[3,2,1,1]
[3,4,5,2,1,6,7]=>[1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>{{1,2,5},{3},{4},{6},{7}}=>[3,1,1,1,1]
[3,4,5,2,1,7,6]=>[1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>{{1,2,5},{3},{4},{6,7}}=>[3,2,1,1]
[3,4,5,2,6,1,7]=>[1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>{{1,6},{2,5},{3},{4},{7}}=>[2,2,1,1,1]
[3,4,5,2,6,7,1]=>[1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>{{1,7},{2,5},{3},{4},{6}}=>[2,2,1,1,1]
[3,4,5,2,7,1,6]=>[1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>{{1,6,7},{2,5},{3},{4}}=>[3,2,1,1]
[3,4,5,2,7,6,1]=>[1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>{{1,6,7},{2,5},{3},{4}}=>[3,2,1,1]
[3,4,5,6,1,2,7]=>[1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>{{1,2,6},{3},{4},{5},{7}}=>[3,1,1,1,1]
[3,4,5,6,1,7,2]=>[1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>{{1,7},{2,6},{3},{4},{5}}=>[2,2,1,1,1]
[3,4,5,6,2,1,7]=>[1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>{{1,2,6},{3},{4},{5},{7}}=>[3,1,1,1,1]
[3,4,5,6,2,7,1]=>[1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>{{1,7},{2,6},{3},{4},{5}}=>[2,2,1,1,1]
[3,4,5,6,7,1,2]=>[1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>{{1,2,7},{3},{4},{5},{6}}=>[3,1,1,1,1]
[3,4,5,6,7,2,1]=>[1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>{{1,2,7},{3},{4},{5},{6}}=>[3,1,1,1,1]
[3,4,5,7,1,2,6]=>[1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>{{1,2,6,7},{3},{4},{5}}=>[4,1,1,1]
[3,4,5,7,1,6,2]=>[1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>{{1,2,6,7},{3},{4},{5}}=>[4,1,1,1]
[3,4,5,7,2,1,6]=>[1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>{{1,2,6,7},{3},{4},{5}}=>[4,1,1,1]
[3,4,5,7,2,6,1]=>[1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>{{1,2,6,7},{3},{4},{5}}=>[4,1,1,1]
[3,4,5,7,6,1,2]=>[1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>{{1,2,6,7},{3},{4},{5}}=>[4,1,1,1]
[3,4,5,7,6,2,1]=>[1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>{{1,2,6,7},{3},{4},{5}}=>[4,1,1,1]
[3,4,6,1,2,5,7]=>[1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>{{1,2,5,6},{3},{4},{7}}=>[4,1,1,1]
[3,4,6,1,2,7,5]=>[1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>{{1,7},{2,5,6},{3},{4}}=>[3,2,1,1]
[3,4,6,1,5,2,7]=>[1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>{{1,2,5,6},{3},{4},{7}}=>[4,1,1,1]
[3,4,6,1,5,7,2]=>[1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>{{1,7},{2,5,6},{3},{4}}=>[3,2,1,1]
[3,4,6,1,7,2,5]=>[1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>{{1,2,7},{3},{4},{5,6}}=>[3,2,1,1]
[3,4,6,1,7,5,2]=>[1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>{{1,2,7},{3},{4},{5,6}}=>[3,2,1,1]
[3,4,6,2,1,5,7]=>[1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>{{1,2,5,6},{3},{4},{7}}=>[4,1,1,1]
[3,4,6,2,1,7,5]=>[1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>{{1,7},{2,5,6},{3},{4}}=>[3,2,1,1]
[3,4,6,2,5,1,7]=>[1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>{{1,2,5,6},{3},{4},{7}}=>[4,1,1,1]
[3,4,6,2,5,7,1]=>[1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>{{1,7},{2,5,6},{3},{4}}=>[3,2,1,1]
[3,4,6,2,7,1,5]=>[1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>{{1,2,7},{3},{4},{5,6}}=>[3,2,1,1]
[3,4,6,2,7,5,1]=>[1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>{{1,2,7},{3},{4},{5,6}}=>[3,2,1,1]
[3,4,6,5,1,2,7]=>[1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>{{1,2,5,6},{3},{4},{7}}=>[4,1,1,1]
[3,4,6,5,1,7,2]=>[1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>{{1,7},{2,5,6},{3},{4}}=>[3,2,1,1]
[3,4,6,5,2,1,7]=>[1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>{{1,2,5,6},{3},{4},{7}}=>[4,1,1,1]
[3,4,6,5,2,7,1]=>[1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>{{1,7},{2,5,6},{3},{4}}=>[3,2,1,1]
[3,4,6,5,7,1,2]=>[1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>{{1,2,7},{3},{4},{5,6}}=>[3,2,1,1]
[3,4,6,5,7,2,1]=>[1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>{{1,2,7},{3},{4},{5,6}}=>[3,2,1,1]
[3,4,6,7,1,2,5]=>[1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>{{1,2,5,7},{3},{4},{6}}=>[4,1,1,1]
[3,4,6,7,1,5,2]=>[1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>{{1,2,5,7},{3},{4},{6}}=>[4,1,1,1]
[3,4,6,7,2,1,5]=>[1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>{{1,2,5,7},{3},{4},{6}}=>[4,1,1,1]
[3,4,6,7,2,5,1]=>[1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>{{1,2,5,7},{3},{4},{6}}=>[4,1,1,1]
[3,4,6,7,5,1,2]=>[1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>{{1,2,5,7},{3},{4},{6}}=>[4,1,1,1]
[3,4,6,7,5,2,1]=>[1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>{{1,2,5,7},{3},{4},{6}}=>[4,1,1,1]
[3,4,7,1,2,5,6]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>{{1,2,5,6,7},{3},{4}}=>[5,1,1]
[3,4,7,1,2,6,5]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>{{1,2,5,6,7},{3},{4}}=>[5,1,1]
[3,4,7,1,5,2,6]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>{{1,2,5,6,7},{3},{4}}=>[5,1,1]
[3,4,7,1,5,6,2]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>{{1,2,5,6,7},{3},{4}}=>[5,1,1]
[3,4,7,1,6,2,5]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>{{1,2,5,6,7},{3},{4}}=>[5,1,1]
[3,4,7,1,6,5,2]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>{{1,2,5,6,7},{3},{4}}=>[5,1,1]
[3,4,7,2,1,5,6]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>{{1,2,5,6,7},{3},{4}}=>[5,1,1]
[3,4,7,2,1,6,5]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>{{1,2,5,6,7},{3},{4}}=>[5,1,1]
[3,4,7,2,5,1,6]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>{{1,2,5,6,7},{3},{4}}=>[5,1,1]
[3,4,7,2,5,6,1]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>{{1,2,5,6,7},{3},{4}}=>[5,1,1]
[3,4,7,2,6,1,5]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>{{1,2,5,6,7},{3},{4}}=>[5,1,1]
[3,4,7,2,6,5,1]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>{{1,2,5,6,7},{3},{4}}=>[5,1,1]
[3,4,7,5,1,2,6]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>{{1,2,5,6,7},{3},{4}}=>[5,1,1]
[3,4,7,5,1,6,2]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>{{1,2,5,6,7},{3},{4}}=>[5,1,1]
[3,4,7,5,2,1,6]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>{{1,2,5,6,7},{3},{4}}=>[5,1,1]
[3,4,7,5,2,6,1]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>{{1,2,5,6,7},{3},{4}}=>[5,1,1]
[3,4,7,5,6,1,2]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>{{1,2,5,6,7},{3},{4}}=>[5,1,1]
[3,4,7,5,6,2,1]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>{{1,2,5,6,7},{3},{4}}=>[5,1,1]
[3,4,7,6,1,2,5]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>{{1,2,5,6,7},{3},{4}}=>[5,1,1]
[3,4,7,6,1,5,2]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>{{1,2,5,6,7},{3},{4}}=>[5,1,1]
[3,4,7,6,2,1,5]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>{{1,2,5,6,7},{3},{4}}=>[5,1,1]
[3,4,7,6,2,5,1]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>{{1,2,5,6,7},{3},{4}}=>[5,1,1]
[3,4,7,6,5,1,2]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>{{1,2,5,6,7},{3},{4}}=>[5,1,1]
[3,4,7,6,5,2,1]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>{{1,2,5,6,7},{3},{4}}=>[5,1,1]
[3,5,1,2,4,6,7]=>[1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>{{1,2,4,5},{3},{6},{7}}=>[4,1,1,1]
[3,5,1,2,4,7,6]=>[1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>{{1,2,4,5},{3},{6,7}}=>[4,2,1]
[3,5,1,2,6,4,7]=>[1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>{{1,6},{2,4,5},{3},{7}}=>[3,2,1,1]
[3,5,1,2,6,7,4]=>[1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>{{1,7},{2,4,5},{3},{6}}=>[3,2,1,1]
[3,5,1,2,7,4,6]=>[1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>{{1,6,7},{2,4,5},{3}}=>[3,3,1]
[3,5,1,2,7,6,4]=>[1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>{{1,6,7},{2,4,5},{3}}=>[3,3,1]
[3,5,1,4,2,6,7]=>[1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>{{1,2,4,5},{3},{6},{7}}=>[4,1,1,1]
[3,5,1,4,2,7,6]=>[1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>{{1,2,4,5},{3},{6,7}}=>[4,2,1]
[3,5,1,4,6,2,7]=>[1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>{{1,6},{2,4,5},{3},{7}}=>[3,2,1,1]
[3,5,1,4,6,7,2]=>[1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>{{1,7},{2,4,5},{3},{6}}=>[3,2,1,1]
[3,5,1,4,7,2,6]=>[1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>{{1,6,7},{2,4,5},{3}}=>[3,3,1]
[3,5,1,4,7,6,2]=>[1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>{{1,6,7},{2,4,5},{3}}=>[3,3,1]
[3,5,1,6,2,4,7]=>[1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>{{1,2,6},{3},{4,5},{7}}=>[3,2,1,1]
[3,5,1,6,2,7,4]=>[1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>{{1,7},{2,6},{3},{4,5}}=>[2,2,2,1]
[3,5,1,6,4,2,7]=>[1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>{{1,2,6},{3},{4,5},{7}}=>[3,2,1,1]
[3,5,1,6,4,7,2]=>[1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>{{1,7},{2,6},{3},{4,5}}=>[2,2,2,1]
[3,5,1,6,7,2,4]=>[1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>{{1,2,7},{3},{4,5},{6}}=>[3,2,1,1]
[3,5,1,6,7,4,2]=>[1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>{{1,2,7},{3},{4,5},{6}}=>[3,2,1,1]
[3,5,1,7,2,4,6]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>{{1,2,6,7},{3},{4,5}}=>[4,2,1]
[3,5,1,7,2,6,4]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>{{1,2,6,7},{3},{4,5}}=>[4,2,1]
[3,5,1,7,4,2,6]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>{{1,2,6,7},{3},{4,5}}=>[4,2,1]
[3,5,1,7,4,6,2]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>{{1,2,6,7},{3},{4,5}}=>[4,2,1]
[3,5,1,7,6,2,4]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>{{1,2,6,7},{3},{4,5}}=>[4,2,1]
[3,5,1,7,6,4,2]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>{{1,2,6,7},{3},{4,5}}=>[4,2,1]
[3,5,2,1,4,6,7]=>[1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>{{1,2,4,5},{3},{6},{7}}=>[4,1,1,1]
[3,5,2,1,4,7,6]=>[1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>{{1,2,4,5},{3},{6,7}}=>[4,2,1]
[3,5,2,1,6,4,7]=>[1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>{{1,6},{2,4,5},{3},{7}}=>[3,2,1,1]
[3,5,2,1,6,7,4]=>[1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>{{1,7},{2,4,5},{3},{6}}=>[3,2,1,1]
[3,5,2,1,7,4,6]=>[1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>{{1,6,7},{2,4,5},{3}}=>[3,3,1]
[3,5,2,1,7,6,4]=>[1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>{{1,6,7},{2,4,5},{3}}=>[3,3,1]
[3,5,2,4,1,6,7]=>[1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>{{1,2,4,5},{3},{6},{7}}=>[4,1,1,1]
[3,5,2,4,1,7,6]=>[1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>{{1,2,4,5},{3},{6,7}}=>[4,2,1]
[3,5,2,4,6,1,7]=>[1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>{{1,6},{2,4,5},{3},{7}}=>[3,2,1,1]
[3,5,2,4,6,7,1]=>[1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>{{1,7},{2,4,5},{3},{6}}=>[3,2,1,1]
[3,5,2,4,7,1,6]=>[1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>{{1,6,7},{2,4,5},{3}}=>[3,3,1]
[3,5,2,4,7,6,1]=>[1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>{{1,6,7},{2,4,5},{3}}=>[3,3,1]
[3,5,2,6,1,4,7]=>[1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>{{1,2,6},{3},{4,5},{7}}=>[3,2,1,1]
[3,5,2,6,1,7,4]=>[1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>{{1,7},{2,6},{3},{4,5}}=>[2,2,2,1]
[3,5,2,6,4,1,7]=>[1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>{{1,2,6},{3},{4,5},{7}}=>[3,2,1,1]
[3,5,2,6,4,7,1]=>[1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>{{1,7},{2,6},{3},{4,5}}=>[2,2,2,1]
[3,5,2,6,7,1,4]=>[1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>{{1,2,7},{3},{4,5},{6}}=>[3,2,1,1]
[3,5,2,6,7,4,1]=>[1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>{{1,2,7},{3},{4,5},{6}}=>[3,2,1,1]
[3,5,2,7,1,4,6]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>{{1,2,6,7},{3},{4,5}}=>[4,2,1]
[3,5,2,7,1,6,4]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>{{1,2,6,7},{3},{4,5}}=>[4,2,1]
[3,5,2,7,4,1,6]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>{{1,2,6,7},{3},{4,5}}=>[4,2,1]
[3,5,2,7,4,6,1]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>{{1,2,6,7},{3},{4,5}}=>[4,2,1]
[3,5,2,7,6,1,4]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>{{1,2,6,7},{3},{4,5}}=>[4,2,1]
[3,5,2,7,6,4,1]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>{{1,2,6,7},{3},{4,5}}=>[4,2,1]
[3,5,4,1,2,6,7]=>[1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>{{1,2,4,5},{3},{6},{7}}=>[4,1,1,1]
[3,5,4,1,2,7,6]=>[1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>{{1,2,4,5},{3},{6,7}}=>[4,2,1]
[3,5,4,1,6,2,7]=>[1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>{{1,6},{2,4,5},{3},{7}}=>[3,2,1,1]
[3,5,4,1,6,7,2]=>[1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>{{1,7},{2,4,5},{3},{6}}=>[3,2,1,1]
[3,5,4,1,7,2,6]=>[1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>{{1,6,7},{2,4,5},{3}}=>[3,3,1]
[3,5,4,1,7,6,2]=>[1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>{{1,6,7},{2,4,5},{3}}=>[3,3,1]
[3,5,4,2,1,6,7]=>[1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>{{1,2,4,5},{3},{6},{7}}=>[4,1,1,1]
[3,5,4,2,1,7,6]=>[1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>{{1,2,4,5},{3},{6,7}}=>[4,2,1]
[3,5,4,2,6,1,7]=>[1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>{{1,6},{2,4,5},{3},{7}}=>[3,2,1,1]
[3,5,4,2,6,7,1]=>[1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>{{1,7},{2,4,5},{3},{6}}=>[3,2,1,1]
[3,5,4,2,7,1,6]=>[1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>{{1,6,7},{2,4,5},{3}}=>[3,3,1]
[3,5,4,2,7,6,1]=>[1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>{{1,6,7},{2,4,5},{3}}=>[3,3,1]
[3,5,4,6,1,2,7]=>[1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>{{1,2,6},{3},{4,5},{7}}=>[3,2,1,1]
[3,5,4,6,1,7,2]=>[1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>{{1,7},{2,6},{3},{4,5}}=>[2,2,2,1]
[3,5,4,6,2,1,7]=>[1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>{{1,2,6},{3},{4,5},{7}}=>[3,2,1,1]
[3,5,4,6,2,7,1]=>[1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>{{1,7},{2,6},{3},{4,5}}=>[2,2,2,1]
[3,5,4,6,7,1,2]=>[1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>{{1,2,7},{3},{4,5},{6}}=>[3,2,1,1]
[3,5,4,6,7,2,1]=>[1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>{{1,2,7},{3},{4,5},{6}}=>[3,2,1,1]
[3,5,4,7,1,2,6]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>{{1,2,6,7},{3},{4,5}}=>[4,2,1]
[3,5,4,7,1,6,2]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>{{1,2,6,7},{3},{4,5}}=>[4,2,1]
[3,5,4,7,2,1,6]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>{{1,2,6,7},{3},{4,5}}=>[4,2,1]
[3,5,4,7,2,6,1]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>{{1,2,6,7},{3},{4,5}}=>[4,2,1]
[3,5,4,7,6,1,2]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>{{1,2,6,7},{3},{4,5}}=>[4,2,1]
[3,5,4,7,6,2,1]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>{{1,2,6,7},{3},{4,5}}=>[4,2,1]
[3,5,6,1,2,4,7]=>[1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>{{1,2,4,6},{3},{5},{7}}=>[4,1,1,1]
[3,5,6,1,2,7,4]=>[1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>{{1,7},{2,4,6},{3},{5}}=>[3,2,1,1]
[3,5,6,1,4,2,7]=>[1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>{{1,2,4,6},{3},{5},{7}}=>[4,1,1,1]
[3,5,6,1,4,7,2]=>[1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>{{1,7},{2,4,6},{3},{5}}=>[3,2,1,1]
[3,5,6,1,7,2,4]=>[1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>{{1,2,7},{3},{4,6},{5}}=>[3,2,1,1]
[3,5,6,1,7,4,2]=>[1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>{{1,2,7},{3},{4,6},{5}}=>[3,2,1,1]
[3,5,6,2,1,4,7]=>[1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>{{1,2,4,6},{3},{5},{7}}=>[4,1,1,1]
[3,5,6,2,1,7,4]=>[1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>{{1,7},{2,4,6},{3},{5}}=>[3,2,1,1]
[3,5,6,2,4,1,7]=>[1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>{{1,2,4,6},{3},{5},{7}}=>[4,1,1,1]
[3,5,6,2,4,7,1]=>[1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>{{1,7},{2,4,6},{3},{5}}=>[3,2,1,1]
[3,5,6,2,7,1,4]=>[1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>{{1,2,7},{3},{4,6},{5}}=>[3,2,1,1]
[3,5,6,2,7,4,1]=>[1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>{{1,2,7},{3},{4,6},{5}}=>[3,2,1,1]
[3,5,6,4,1,2,7]=>[1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>{{1,2,4,6},{3},{5},{7}}=>[4,1,1,1]
[3,5,6,4,1,7,2]=>[1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>{{1,7},{2,4,6},{3},{5}}=>[3,2,1,1]
[3,5,6,4,2,1,7]=>[1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>{{1,2,4,6},{3},{5},{7}}=>[4,1,1,1]
[3,5,6,4,2,7,1]=>[1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>{{1,7},{2,4,6},{3},{5}}=>[3,2,1,1]
[3,5,6,4,7,1,2]=>[1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>{{1,2,7},{3},{4,6},{5}}=>[3,2,1,1]
[3,5,6,4,7,2,1]=>[1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>{{1,2,7},{3},{4,6},{5}}=>[3,2,1,1]
[3,5,6,7,1,2,4]=>[1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>{{1,2,4,7},{3},{5},{6}}=>[4,1,1,1]
[3,5,6,7,1,4,2]=>[1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>{{1,2,4,7},{3},{5},{6}}=>[4,1,1,1]
[3,5,6,7,2,1,4]=>[1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>{{1,2,4,7},{3},{5},{6}}=>[4,1,1,1]
[3,5,6,7,2,4,1]=>[1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>{{1,2,4,7},{3},{5},{6}}=>[4,1,1,1]
[3,5,6,7,4,1,2]=>[1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>{{1,2,4,7},{3},{5},{6}}=>[4,1,1,1]
[3,5,6,7,4,2,1]=>[1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>{{1,2,4,7},{3},{5},{6}}=>[4,1,1,1]
[3,5,7,1,2,4,6]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>{{1,2,4,6,7},{3},{5}}=>[5,1,1]
[3,5,7,1,2,6,4]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>{{1,2,4,6,7},{3},{5}}=>[5,1,1]
[3,5,7,1,4,2,6]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>{{1,2,4,6,7},{3},{5}}=>[5,1,1]
[3,5,7,1,4,6,2]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>{{1,2,4,6,7},{3},{5}}=>[5,1,1]
[3,5,7,1,6,2,4]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>{{1,2,4,6,7},{3},{5}}=>[5,1,1]
[3,5,7,1,6,4,2]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>{{1,2,4,6,7},{3},{5}}=>[5,1,1]
[3,5,7,2,1,4,6]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>{{1,2,4,6,7},{3},{5}}=>[5,1,1]
[3,5,7,2,1,6,4]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>{{1,2,4,6,7},{3},{5}}=>[5,1,1]
[3,5,7,2,4,1,6]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>{{1,2,4,6,7},{3},{5}}=>[5,1,1]
[3,5,7,2,4,6,1]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>{{1,2,4,6,7},{3},{5}}=>[5,1,1]
[3,5,7,2,6,1,4]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>{{1,2,4,6,7},{3},{5}}=>[5,1,1]
[3,5,7,2,6,4,1]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>{{1,2,4,6,7},{3},{5}}=>[5,1,1]
[3,5,7,4,1,2,6]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>{{1,2,4,6,7},{3},{5}}=>[5,1,1]
[3,5,7,4,1,6,2]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>{{1,2,4,6,7},{3},{5}}=>[5,1,1]
[3,5,7,4,2,1,6]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>{{1,2,4,6,7},{3},{5}}=>[5,1,1]
[3,5,7,4,2,6,1]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>{{1,2,4,6,7},{3},{5}}=>[5,1,1]
[3,5,7,4,6,1,2]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>{{1,2,4,6,7},{3},{5}}=>[5,1,1]
[3,5,7,4,6,2,1]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>{{1,2,4,6,7},{3},{5}}=>[5,1,1]
[3,5,7,6,1,2,4]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>{{1,2,4,6,7},{3},{5}}=>[5,1,1]
[3,5,7,6,1,4,2]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>{{1,2,4,6,7},{3},{5}}=>[5,1,1]
[3,5,7,6,2,1,4]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>{{1,2,4,6,7},{3},{5}}=>[5,1,1]
[3,5,7,6,2,4,1]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>{{1,2,4,6,7},{3},{5}}=>[5,1,1]
[3,5,7,6,4,1,2]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>{{1,2,4,6,7},{3},{5}}=>[5,1,1]
[3,5,7,6,4,2,1]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>{{1,2,4,6,7},{3},{5}}=>[5,1,1]
[3,6,1,2,4,5,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>{{1,2,4,5,6},{3},{7}}=>[5,1,1]
[3,6,1,2,4,7,5]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>{{1,7},{2,4,5,6},{3}}=>[4,2,1]
[3,6,1,2,5,4,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>{{1,2,4,5,6},{3},{7}}=>[5,1,1]
[3,6,1,2,5,7,4]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>{{1,7},{2,4,5,6},{3}}=>[4,2,1]
[3,6,1,2,7,4,5]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>{{1,2,7},{3},{4,5,6}}=>[3,3,1]
[3,6,1,2,7,5,4]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>{{1,2,7},{3},{4,5,6}}=>[3,3,1]
[3,6,1,4,2,5,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>{{1,2,4,5,6},{3},{7}}=>[5,1,1]
[3,6,1,4,2,7,5]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>{{1,7},{2,4,5,6},{3}}=>[4,2,1]
[3,6,1,4,5,2,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>{{1,2,4,5,6},{3},{7}}=>[5,1,1]
[3,6,1,4,5,7,2]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>{{1,7},{2,4,5,6},{3}}=>[4,2,1]
[3,6,1,4,7,2,5]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>{{1,2,7},{3},{4,5,6}}=>[3,3,1]
[3,6,1,4,7,5,2]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>{{1,2,7},{3},{4,5,6}}=>[3,3,1]
[3,6,1,5,2,4,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>{{1,2,4,5,6},{3},{7}}=>[5,1,1]
[3,6,1,5,2,7,4]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>{{1,7},{2,4,5,6},{3}}=>[4,2,1]
[3,6,1,5,4,2,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>{{1,2,4,5,6},{3},{7}}=>[5,1,1]
[3,6,1,5,4,7,2]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>{{1,7},{2,4,5,6},{3}}=>[4,2,1]
[3,6,1,5,7,2,4]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>{{1,2,7},{3},{4,5,6}}=>[3,3,1]
[3,6,1,5,7,4,2]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>{{1,2,7},{3},{4,5,6}}=>[3,3,1]
[3,6,1,7,2,4,5]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>{{1,2,4,7},{3},{5,6}}=>[4,2,1]
[3,6,1,7,2,5,4]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>{{1,2,4,7},{3},{5,6}}=>[4,2,1]
[3,6,1,7,4,2,5]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>{{1,2,4,7},{3},{5,6}}=>[4,2,1]
[3,6,1,7,4,5,2]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>{{1,2,4,7},{3},{5,6}}=>[4,2,1]
[3,6,1,7,5,2,4]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>{{1,2,4,7},{3},{5,6}}=>[4,2,1]
[3,6,1,7,5,4,2]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>{{1,2,4,7},{3},{5,6}}=>[4,2,1]
[3,6,2,1,4,5,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>{{1,2,4,5,6},{3},{7}}=>[5,1,1]
[3,6,2,1,4,7,5]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>{{1,7},{2,4,5,6},{3}}=>[4,2,1]
[3,6,2,1,5,4,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>{{1,2,4,5,6},{3},{7}}=>[5,1,1]
[3,6,2,1,5,7,4]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>{{1,7},{2,4,5,6},{3}}=>[4,2,1]
[3,6,2,1,7,4,5]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>{{1,2,7},{3},{4,5,6}}=>[3,3,1]
[3,6,2,1,7,5,4]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>{{1,2,7},{3},{4,5,6}}=>[3,3,1]
[3,6,2,4,1,5,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>{{1,2,4,5,6},{3},{7}}=>[5,1,1]
[3,6,2,4,1,7,5]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>{{1,7},{2,4,5,6},{3}}=>[4,2,1]
[3,6,2,4,5,1,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>{{1,2,4,5,6},{3},{7}}=>[5,1,1]
[3,6,2,4,5,7,1]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>{{1,7},{2,4,5,6},{3}}=>[4,2,1]
[3,6,2,4,7,1,5]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>{{1,2,7},{3},{4,5,6}}=>[3,3,1]
[3,6,2,4,7,5,1]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>{{1,2,7},{3},{4,5,6}}=>[3,3,1]
[3,6,2,5,1,4,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>{{1,2,4,5,6},{3},{7}}=>[5,1,1]
[3,6,2,5,1,7,4]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>{{1,7},{2,4,5,6},{3}}=>[4,2,1]
[3,6,2,5,4,1,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>{{1,2,4,5,6},{3},{7}}=>[5,1,1]
[3,6,2,5,4,7,1]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>{{1,7},{2,4,5,6},{3}}=>[4,2,1]
[3,6,2,5,7,1,4]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>{{1,2,7},{3},{4,5,6}}=>[3,3,1]
[3,6,2,5,7,4,1]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>{{1,2,7},{3},{4,5,6}}=>[3,3,1]
[3,6,2,7,1,4,5]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>{{1,2,4,7},{3},{5,6}}=>[4,2,1]
[3,6,2,7,1,5,4]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>{{1,2,4,7},{3},{5,6}}=>[4,2,1]
[3,6,2,7,4,1,5]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>{{1,2,4,7},{3},{5,6}}=>[4,2,1]
[3,6,2,7,4,5,1]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>{{1,2,4,7},{3},{5,6}}=>[4,2,1]
[3,6,2,7,5,1,4]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>{{1,2,4,7},{3},{5,6}}=>[4,2,1]
[3,6,2,7,5,4,1]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>{{1,2,4,7},{3},{5,6}}=>[4,2,1]
[3,6,4,1,2,5,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>{{1,2,4,5,6},{3},{7}}=>[5,1,1]
[3,6,4,1,2,7,5]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>{{1,7},{2,4,5,6},{3}}=>[4,2,1]
[3,6,4,1,5,2,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>{{1,2,4,5,6},{3},{7}}=>[5,1,1]
[3,6,4,1,5,7,2]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>{{1,7},{2,4,5,6},{3}}=>[4,2,1]
[3,6,4,1,7,2,5]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>{{1,2,7},{3},{4,5,6}}=>[3,3,1]
[3,6,4,1,7,5,2]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>{{1,2,7},{3},{4,5,6}}=>[3,3,1]
[3,6,4,2,1,5,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>{{1,2,4,5,6},{3},{7}}=>[5,1,1]
[3,6,4,2,1,7,5]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>{{1,7},{2,4,5,6},{3}}=>[4,2,1]
[3,6,4,2,5,1,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>{{1,2,4,5,6},{3},{7}}=>[5,1,1]
[3,6,4,2,5,7,1]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>{{1,7},{2,4,5,6},{3}}=>[4,2,1]
[3,6,4,2,7,1,5]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>{{1,2,7},{3},{4,5,6}}=>[3,3,1]
[3,6,4,2,7,5,1]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>{{1,2,7},{3},{4,5,6}}=>[3,3,1]
[3,6,4,5,1,2,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>{{1,2,4,5,6},{3},{7}}=>[5,1,1]
[3,6,4,5,1,7,2]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>{{1,7},{2,4,5,6},{3}}=>[4,2,1]
[3,6,4,5,2,1,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>{{1,2,4,5,6},{3},{7}}=>[5,1,1]
[3,6,4,5,2,7,1]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>{{1,7},{2,4,5,6},{3}}=>[4,2,1]
[3,6,4,5,7,1,2]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>{{1,2,7},{3},{4,5,6}}=>[3,3,1]
[3,6,4,5,7,2,1]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>{{1,2,7},{3},{4,5,6}}=>[3,3,1]
[3,6,4,7,1,2,5]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>{{1,2,4,7},{3},{5,6}}=>[4,2,1]
[3,6,4,7,1,5,2]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>{{1,2,4,7},{3},{5,6}}=>[4,2,1]
[3,6,4,7,2,1,5]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>{{1,2,4,7},{3},{5,6}}=>[4,2,1]
[3,6,4,7,2,5,1]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>{{1,2,4,7},{3},{5,6}}=>[4,2,1]
[3,6,4,7,5,1,2]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>{{1,2,4,7},{3},{5,6}}=>[4,2,1]
[3,6,4,7,5,2,1]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>{{1,2,4,7},{3},{5,6}}=>[4,2,1]
[3,6,5,1,2,4,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>{{1,2,4,5,6},{3},{7}}=>[5,1,1]
[3,6,5,1,2,7,4]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>{{1,7},{2,4,5,6},{3}}=>[4,2,1]
[3,6,5,1,4,2,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>{{1,2,4,5,6},{3},{7}}=>[5,1,1]
[3,6,5,1,4,7,2]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>{{1,7},{2,4,5,6},{3}}=>[4,2,1]
[3,6,5,1,7,2,4]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>{{1,2,7},{3},{4,5,6}}=>[3,3,1]
[3,6,5,1,7,4,2]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>{{1,2,7},{3},{4,5,6}}=>[3,3,1]
[3,6,5,2,1,4,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>{{1,2,4,5,6},{3},{7}}=>[5,1,1]
[3,6,5,2,1,7,4]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>{{1,7},{2,4,5,6},{3}}=>[4,2,1]
[3,6,5,2,4,1,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>{{1,2,4,5,6},{3},{7}}=>[5,1,1]
[3,6,5,2,4,7,1]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>{{1,7},{2,4,5,6},{3}}=>[4,2,1]
[3,6,5,2,7,1,4]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>{{1,2,7},{3},{4,5,6}}=>[3,3,1]
[3,6,5,2,7,4,1]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>{{1,2,7},{3},{4,5,6}}=>[3,3,1]
[3,6,5,4,1,2,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>{{1,2,4,5,6},{3},{7}}=>[5,1,1]
[3,6,5,4,1,7,2]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>{{1,7},{2,4,5,6},{3}}=>[4,2,1]
[3,6,5,4,2,1,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>{{1,2,4,5,6},{3},{7}}=>[5,1,1]
[3,6,5,4,2,7,1]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>{{1,7},{2,4,5,6},{3}}=>[4,2,1]
[3,6,5,4,7,1,2]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>{{1,2,7},{3},{4,5,6}}=>[3,3,1]
[3,6,5,4,7,2,1]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>{{1,2,7},{3},{4,5,6}}=>[3,3,1]
[3,6,5,7,1,2,4]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>{{1,2,4,7},{3},{5,6}}=>[4,2,1]
[3,6,5,7,1,4,2]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>{{1,2,4,7},{3},{5,6}}=>[4,2,1]
[3,6,5,7,2,1,4]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>{{1,2,4,7},{3},{5,6}}=>[4,2,1]
[3,6,5,7,2,4,1]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>{{1,2,4,7},{3},{5,6}}=>[4,2,1]
[3,6,5,7,4,1,2]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>{{1,2,4,7},{3},{5,6}}=>[4,2,1]
[3,6,5,7,4,2,1]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>{{1,2,4,7},{3},{5,6}}=>[4,2,1]
[3,6,7,1,2,4,5]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>{{1,2,4,5,7},{3},{6}}=>[5,1,1]
[3,6,7,1,2,5,4]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>{{1,2,4,5,7},{3},{6}}=>[5,1,1]
[3,6,7,1,4,2,5]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>{{1,2,4,5,7},{3},{6}}=>[5,1,1]
[3,6,7,1,4,5,2]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>{{1,2,4,5,7},{3},{6}}=>[5,1,1]
[3,6,7,1,5,2,4]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>{{1,2,4,5,7},{3},{6}}=>[5,1,1]
[3,6,7,1,5,4,2]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>{{1,2,4,5,7},{3},{6}}=>[5,1,1]
[3,6,7,2,1,4,5]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>{{1,2,4,5,7},{3},{6}}=>[5,1,1]
[3,6,7,2,1,5,4]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>{{1,2,4,5,7},{3},{6}}=>[5,1,1]
[3,6,7,2,4,1,5]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>{{1,2,4,5,7},{3},{6}}=>[5,1,1]
[3,6,7,2,4,5,1]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>{{1,2,4,5,7},{3},{6}}=>[5,1,1]
[3,6,7,2,5,1,4]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>{{1,2,4,5,7},{3},{6}}=>[5,1,1]
[3,6,7,2,5,4,1]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>{{1,2,4,5,7},{3},{6}}=>[5,1,1]
[3,6,7,4,1,2,5]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>{{1,2,4,5,7},{3},{6}}=>[5,1,1]
[3,6,7,4,1,5,2]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>{{1,2,4,5,7},{3},{6}}=>[5,1,1]
[3,6,7,4,2,1,5]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>{{1,2,4,5,7},{3},{6}}=>[5,1,1]
[3,6,7,4,2,5,1]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>{{1,2,4,5,7},{3},{6}}=>[5,1,1]
[3,6,7,4,5,1,2]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>{{1,2,4,5,7},{3},{6}}=>[5,1,1]
[3,6,7,4,5,2,1]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>{{1,2,4,5,7},{3},{6}}=>[5,1,1]
[3,6,7,5,1,2,4]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>{{1,2,4,5,7},{3},{6}}=>[5,1,1]
[3,6,7,5,1,4,2]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>{{1,2,4,5,7},{3},{6}}=>[5,1,1]
[3,6,7,5,2,1,4]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>{{1,2,4,5,7},{3},{6}}=>[5,1,1]
[3,6,7,5,2,4,1]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>{{1,2,4,5,7},{3},{6}}=>[5,1,1]
[3,6,7,5,4,1,2]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>{{1,2,4,5,7},{3},{6}}=>[5,1,1]
[3,6,7,5,4,2,1]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>{{1,2,4,5,7},{3},{6}}=>[5,1,1]
[3,7,1,2,4,5,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>{{1,2,4,5,6,7},{3}}=>[6,1]
[3,7,1,2,4,6,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>{{1,2,4,5,6,7},{3}}=>[6,1]
[3,7,1,2,5,4,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>{{1,2,4,5,6,7},{3}}=>[6,1]
[3,7,1,2,5,6,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>{{1,2,4,5,6,7},{3}}=>[6,1]
[3,7,1,2,6,4,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>{{1,2,4,5,6,7},{3}}=>[6,1]
[3,7,1,2,6,5,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>{{1,2,4,5,6,7},{3}}=>[6,1]
[3,7,1,4,2,5,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>{{1,2,4,5,6,7},{3}}=>[6,1]
[3,7,1,4,2,6,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>{{1,2,4,5,6,7},{3}}=>[6,1]
[3,7,1,4,5,2,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>{{1,2,4,5,6,7},{3}}=>[6,1]
[3,7,1,4,5,6,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>{{1,2,4,5,6,7},{3}}=>[6,1]
[3,7,1,4,6,2,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>{{1,2,4,5,6,7},{3}}=>[6,1]
[3,7,1,4,6,5,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>{{1,2,4,5,6,7},{3}}=>[6,1]
[3,7,1,5,2,4,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>{{1,2,4,5,6,7},{3}}=>[6,1]
[3,7,1,5,2,6,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>{{1,2,4,5,6,7},{3}}=>[6,1]
[3,7,1,5,4,2,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>{{1,2,4,5,6,7},{3}}=>[6,1]
[3,7,1,5,4,6,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>{{1,2,4,5,6,7},{3}}=>[6,1]
[3,7,1,5,6,2,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>{{1,2,4,5,6,7},{3}}=>[6,1]
[3,7,1,5,6,4,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>{{1,2,4,5,6,7},{3}}=>[6,1]
[3,7,1,6,2,4,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>{{1,2,4,5,6,7},{3}}=>[6,1]
[3,7,1,6,2,5,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>{{1,2,4,5,6,7},{3}}=>[6,1]
[3,7,1,6,4,2,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>{{1,2,4,5,6,7},{3}}=>[6,1]
[3,7,1,6,4,5,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>{{1,2,4,5,6,7},{3}}=>[6,1]
[3,7,1,6,5,2,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>{{1,2,4,5,6,7},{3}}=>[6,1]
[3,7,1,6,5,4,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>{{1,2,4,5,6,7},{3}}=>[6,1]
[3,7,2,1,4,5,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>{{1,2,4,5,6,7},{3}}=>[6,1]
[3,7,2,1,4,6,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>{{1,2,4,5,6,7},{3}}=>[6,1]
[3,7,2,1,5,4,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>{{1,2,4,5,6,7},{3}}=>[6,1]
[3,7,2,1,5,6,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>{{1,2,4,5,6,7},{3}}=>[6,1]
[3,7,2,1,6,4,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>{{1,2,4,5,6,7},{3}}=>[6,1]
[3,7,2,1,6,5,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>{{1,2,4,5,6,7},{3}}=>[6,1]
[3,7,2,4,1,5,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>{{1,2,4,5,6,7},{3}}=>[6,1]
[3,7,2,4,1,6,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>{{1,2,4,5,6,7},{3}}=>[6,1]
[3,7,2,4,5,1,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>{{1,2,4,5,6,7},{3}}=>[6,1]
[3,7,2,4,5,6,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>{{1,2,4,5,6,7},{3}}=>[6,1]
[3,7,2,4,6,1,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>{{1,2,4,5,6,7},{3}}=>[6,1]
[3,7,2,4,6,5,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>{{1,2,4,5,6,7},{3}}=>[6,1]
[3,7,2,5,1,4,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>{{1,2,4,5,6,7},{3}}=>[6,1]
[3,7,2,5,1,6,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>{{1,2,4,5,6,7},{3}}=>[6,1]
[3,7,2,5,4,1,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>{{1,2,4,5,6,7},{3}}=>[6,1]
[3,7,2,5,4,6,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>{{1,2,4,5,6,7},{3}}=>[6,1]
[3,7,2,5,6,1,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>{{1,2,4,5,6,7},{3}}=>[6,1]
[3,7,2,5,6,4,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>{{1,2,4,5,6,7},{3}}=>[6,1]
[3,7,2,6,1,4,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>{{1,2,4,5,6,7},{3}}=>[6,1]
[3,7,2,6,1,5,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>{{1,2,4,5,6,7},{3}}=>[6,1]
[3,7,2,6,4,1,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>{{1,2,4,5,6,7},{3}}=>[6,1]
[3,7,2,6,4,5,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>{{1,2,4,5,6,7},{3}}=>[6,1]
[3,7,2,6,5,1,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>{{1,2,4,5,6,7},{3}}=>[6,1]
[3,7,2,6,5,4,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>{{1,2,4,5,6,7},{3}}=>[6,1]
[3,7,4,1,2,5,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>{{1,2,4,5,6,7},{3}}=>[6,1]
[3,7,4,1,2,6,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>{{1,2,4,5,6,7},{3}}=>[6,1]
[3,7,4,1,5,2,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>{{1,2,4,5,6,7},{3}}=>[6,1]
[3,7,4,1,5,6,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>{{1,2,4,5,6,7},{3}}=>[6,1]
[3,7,4,1,6,2,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>{{1,2,4,5,6,7},{3}}=>[6,1]
[3,7,4,1,6,5,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>{{1,2,4,5,6,7},{3}}=>[6,1]
[3,7,4,2,1,5,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>{{1,2,4,5,6,7},{3}}=>[6,1]
[3,7,4,2,1,6,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>{{1,2,4,5,6,7},{3}}=>[6,1]
[3,7,4,2,5,1,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>{{1,2,4,5,6,7},{3}}=>[6,1]
[3,7,4,2,5,6,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>{{1,2,4,5,6,7},{3}}=>[6,1]
[3,7,4,2,6,1,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>{{1,2,4,5,6,7},{3}}=>[6,1]
[3,7,4,2,6,5,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>{{1,2,4,5,6,7},{3}}=>[6,1]
[3,7,4,5,1,2,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>{{1,2,4,5,6,7},{3}}=>[6,1]
[3,7,4,5,1,6,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>{{1,2,4,5,6,7},{3}}=>[6,1]
[3,7,4,5,2,1,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>{{1,2,4,5,6,7},{3}}=>[6,1]
[3,7,4,5,2,6,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>{{1,2,4,5,6,7},{3}}=>[6,1]
[3,7,4,5,6,1,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>{{1,2,4,5,6,7},{3}}=>[6,1]
[3,7,4,5,6,2,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>{{1,2,4,5,6,7},{3}}=>[6,1]
[3,7,4,6,1,2,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>{{1,2,4,5,6,7},{3}}=>[6,1]
[3,7,4,6,1,5,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>{{1,2,4,5,6,7},{3}}=>[6,1]
[3,7,4,6,2,1,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>{{1,2,4,5,6,7},{3}}=>[6,1]
[3,7,4,6,2,5,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>{{1,2,4,5,6,7},{3}}=>[6,1]
[3,7,4,6,5,1,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>{{1,2,4,5,6,7},{3}}=>[6,1]
[3,7,4,6,5,2,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>{{1,2,4,5,6,7},{3}}=>[6,1]
[3,7,5,1,2,4,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>{{1,2,4,5,6,7},{3}}=>[6,1]
[3,7,5,1,2,6,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>{{1,2,4,5,6,7},{3}}=>[6,1]
[3,7,5,1,4,2,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>{{1,2,4,5,6,7},{3}}=>[6,1]
[3,7,5,1,4,6,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>{{1,2,4,5,6,7},{3}}=>[6,1]
[3,7,5,1,6,2,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>{{1,2,4,5,6,7},{3}}=>[6,1]
[3,7,5,1,6,4,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>{{1,2,4,5,6,7},{3}}=>[6,1]
[3,7,5,2,1,4,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>{{1,2,4,5,6,7},{3}}=>[6,1]
[3,7,5,2,1,6,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>{{1,2,4,5,6,7},{3}}=>[6,1]
[3,7,5,2,4,1,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>{{1,2,4,5,6,7},{3}}=>[6,1]
[3,7,5,2,4,6,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>{{1,2,4,5,6,7},{3}}=>[6,1]
[3,7,5,2,6,1,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>{{1,2,4,5,6,7},{3}}=>[6,1]
[3,7,5,2,6,4,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>{{1,2,4,5,6,7},{3}}=>[6,1]
[3,7,5,4,1,2,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>{{1,2,4,5,6,7},{3}}=>[6,1]
[3,7,5,4,1,6,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>{{1,2,4,5,6,7},{3}}=>[6,1]
[3,7,5,4,2,1,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>{{1,2,4,5,6,7},{3}}=>[6,1]
[3,7,5,4,2,6,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>{{1,2,4,5,6,7},{3}}=>[6,1]
[3,7,5,4,6,1,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>{{1,2,4,5,6,7},{3}}=>[6,1]
[3,7,5,4,6,2,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>{{1,2,4,5,6,7},{3}}=>[6,1]
[3,7,5,6,1,2,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>{{1,2,4,5,6,7},{3}}=>[6,1]
[3,7,5,6,1,4,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>{{1,2,4,5,6,7},{3}}=>[6,1]
[3,7,5,6,2,1,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>{{1,2,4,5,6,7},{3}}=>[6,1]
[3,7,5,6,2,4,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>{{1,2,4,5,6,7},{3}}=>[6,1]
[3,7,5,6,4,1,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>{{1,2,4,5,6,7},{3}}=>[6,1]
[3,7,5,6,4,2,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>{{1,2,4,5,6,7},{3}}=>[6,1]
[3,7,6,1,2,4,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>{{1,2,4,5,6,7},{3}}=>[6,1]
[3,7,6,1,2,5,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>{{1,2,4,5,6,7},{3}}=>[6,1]
[3,7,6,1,4,2,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>{{1,2,4,5,6,7},{3}}=>[6,1]
[3,7,6,1,4,5,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>{{1,2,4,5,6,7},{3}}=>[6,1]
[3,7,6,1,5,2,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>{{1,2,4,5,6,7},{3}}=>[6,1]
[3,7,6,1,5,4,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>{{1,2,4,5,6,7},{3}}=>[6,1]
[3,7,6,2,1,4,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>{{1,2,4,5,6,7},{3}}=>[6,1]
[3,7,6,2,1,5,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>{{1,2,4,5,6,7},{3}}=>[6,1]
[3,7,6,2,4,1,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>{{1,2,4,5,6,7},{3}}=>[6,1]
[3,7,6,2,4,5,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>{{1,2,4,5,6,7},{3}}=>[6,1]
[3,7,6,2,5,1,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>{{1,2,4,5,6,7},{3}}=>[6,1]
[3,7,6,2,5,4,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>{{1,2,4,5,6,7},{3}}=>[6,1]
[3,7,6,4,1,2,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>{{1,2,4,5,6,7},{3}}=>[6,1]
[3,7,6,4,1,5,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>{{1,2,4,5,6,7},{3}}=>[6,1]
[3,7,6,4,2,1,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>{{1,2,4,5,6,7},{3}}=>[6,1]
[3,7,6,4,2,5,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>{{1,2,4,5,6,7},{3}}=>[6,1]
[3,7,6,4,5,1,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>{{1,2,4,5,6,7},{3}}=>[6,1]
[3,7,6,4,5,2,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>{{1,2,4,5,6,7},{3}}=>[6,1]
[3,7,6,5,1,2,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>{{1,2,4,5,6,7},{3}}=>[6,1]
[3,7,6,5,1,4,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>{{1,2,4,5,6,7},{3}}=>[6,1]
[3,7,6,5,2,1,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>{{1,2,4,5,6,7},{3}}=>[6,1]
[3,7,6,5,2,4,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>{{1,2,4,5,6,7},{3}}=>[6,1]
[3,7,6,5,4,1,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>{{1,2,4,5,6,7},{3}}=>[6,1]
[3,7,6,5,4,2,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>{{1,2,4,5,6,7},{3}}=>[6,1]
[4,1,2,3,5,6,7]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>{{1,2,3,4},{5},{6},{7}}=>[4,1,1,1]
[4,1,2,3,5,7,6]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>{{1,2,3,4},{5},{6,7}}=>[4,2,1]
[4,1,2,3,6,5,7]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>{{1,2,3,4},{5,6},{7}}=>[4,2,1]
[4,1,2,3,6,7,5]=>[1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>{{1,2,3,4},{5,7},{6}}=>[4,2,1]
[4,1,2,3,7,5,6]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>{{1,2,3,4},{5,6,7}}=>[4,3]
[4,1,2,3,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>{{1,2,3,4},{5,6,7}}=>[4,3]
[4,1,2,5,3,6,7]=>[1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>{{1,5},{2,3,4},{6},{7}}=>[3,2,1,1]
[4,1,2,5,3,7,6]=>[1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>{{1,5},{2,3,4},{6,7}}=>[3,2,2]
[4,1,2,5,6,3,7]=>[1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>{{1,6},{2,3,4},{5},{7}}=>[3,2,1,1]
[4,1,2,5,6,7,3]=>[1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>{{1,7},{2,3,4},{5},{6}}=>[3,2,1,1]
[4,1,2,5,7,3,6]=>[1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>{{1,6,7},{2,3,4},{5}}=>[3,3,1]
[4,1,2,5,7,6,3]=>[1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>{{1,6,7},{2,3,4},{5}}=>[3,3,1]
[4,1,2,6,3,5,7]=>[1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>{{1,5,6},{2,3,4},{7}}=>[3,3,1]
[4,1,2,6,3,7,5]=>[1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>{{1,7},{2,3,4},{5,6}}=>[3,2,2]
[4,1,2,6,5,3,7]=>[1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>{{1,5,6},{2,3,4},{7}}=>[3,3,1]
[4,1,2,6,5,7,3]=>[1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>{{1,7},{2,3,4},{5,6}}=>[3,2,2]
[4,1,2,6,7,3,5]=>[1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>{{1,5,7},{2,3,4},{6}}=>[3,3,1]
[4,1,2,6,7,5,3]=>[1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>{{1,5,7},{2,3,4},{6}}=>[3,3,1]
[4,1,2,7,3,5,6]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>{{1,5,6,7},{2,3,4}}=>[4,3]
[4,1,2,7,3,6,5]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>{{1,5,6,7},{2,3,4}}=>[4,3]
[4,1,2,7,5,3,6]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>{{1,5,6,7},{2,3,4}}=>[4,3]
[4,1,2,7,5,6,3]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>{{1,5,6,7},{2,3,4}}=>[4,3]
[4,1,2,7,6,3,5]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>{{1,5,6,7},{2,3,4}}=>[4,3]
[4,1,2,7,6,5,3]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>{{1,5,6,7},{2,3,4}}=>[4,3]
[4,1,3,2,5,6,7]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>{{1,2,3,4},{5},{6},{7}}=>[4,1,1,1]
[4,1,3,2,5,7,6]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>{{1,2,3,4},{5},{6,7}}=>[4,2,1]
[4,1,3,2,6,5,7]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>{{1,2,3,4},{5,6},{7}}=>[4,2,1]
[4,1,3,2,6,7,5]=>[1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>{{1,2,3,4},{5,7},{6}}=>[4,2,1]
[4,1,3,2,7,5,6]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>{{1,2,3,4},{5,6,7}}=>[4,3]
[4,1,3,2,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>{{1,2,3,4},{5,6,7}}=>[4,3]
[4,1,3,5,2,6,7]=>[1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>{{1,5},{2,3,4},{6},{7}}=>[3,2,1,1]
[4,1,3,5,2,7,6]=>[1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>{{1,5},{2,3,4},{6,7}}=>[3,2,2]
[4,1,3,5,6,2,7]=>[1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>{{1,6},{2,3,4},{5},{7}}=>[3,2,1,1]
[4,1,3,5,6,7,2]=>[1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>{{1,7},{2,3,4},{5},{6}}=>[3,2,1,1]
[4,1,3,5,7,2,6]=>[1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>{{1,6,7},{2,3,4},{5}}=>[3,3,1]
[4,1,3,5,7,6,2]=>[1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>{{1,6,7},{2,3,4},{5}}=>[3,3,1]
[4,1,3,6,2,5,7]=>[1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>{{1,5,6},{2,3,4},{7}}=>[3,3,1]
[4,1,3,6,2,7,5]=>[1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>{{1,7},{2,3,4},{5,6}}=>[3,2,2]
[4,1,3,6,5,2,7]=>[1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>{{1,5,6},{2,3,4},{7}}=>[3,3,1]
[4,1,3,6,5,7,2]=>[1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>{{1,7},{2,3,4},{5,6}}=>[3,2,2]
[4,1,3,6,7,2,5]=>[1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>{{1,5,7},{2,3,4},{6}}=>[3,3,1]
[4,1,3,6,7,5,2]=>[1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>{{1,5,7},{2,3,4},{6}}=>[3,3,1]
[4,1,3,7,2,5,6]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>{{1,5,6,7},{2,3,4}}=>[4,3]
[4,1,3,7,2,6,5]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>{{1,5,6,7},{2,3,4}}=>[4,3]
[4,1,3,7,5,2,6]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>{{1,5,6,7},{2,3,4}}=>[4,3]
[4,1,3,7,5,6,2]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>{{1,5,6,7},{2,3,4}}=>[4,3]
[4,1,3,7,6,2,5]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>{{1,5,6,7},{2,3,4}}=>[4,3]
[4,1,3,7,6,5,2]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>{{1,5,6,7},{2,3,4}}=>[4,3]
[4,1,5,2,3,6,7]=>[1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>{{1,2,5},{3,4},{6},{7}}=>[3,2,1,1]
[4,1,5,2,3,7,6]=>[1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>{{1,2,5},{3,4},{6,7}}=>[3,2,2]
[4,1,5,2,6,3,7]=>[1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>{{1,6},{2,5},{3,4},{7}}=>[2,2,2,1]
[4,1,5,2,6,7,3]=>[1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>{{1,7},{2,5},{3,4},{6}}=>[2,2,2,1]
[4,1,5,2,7,3,6]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>{{1,6,7},{2,5},{3,4}}=>[3,2,2]
[4,1,5,2,7,6,3]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>{{1,6,7},{2,5},{3,4}}=>[3,2,2]
[4,1,5,3,2,6,7]=>[1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>{{1,2,5},{3,4},{6},{7}}=>[3,2,1,1]
[4,1,5,3,2,7,6]=>[1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>{{1,2,5},{3,4},{6,7}}=>[3,2,2]
[4,1,5,3,6,2,7]=>[1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>{{1,6},{2,5},{3,4},{7}}=>[2,2,2,1]
[4,1,5,3,6,7,2]=>[1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>{{1,7},{2,5},{3,4},{6}}=>[2,2,2,1]
[4,1,5,3,7,2,6]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>{{1,6,7},{2,5},{3,4}}=>[3,2,2]
[4,1,5,3,7,6,2]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>{{1,6,7},{2,5},{3,4}}=>[3,2,2]
[4,1,5,6,2,3,7]=>[1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>{{1,2,6},{3,4},{5},{7}}=>[3,2,1,1]
[4,1,5,6,2,7,3]=>[1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>{{1,7},{2,6},{3,4},{5}}=>[2,2,2,1]
[4,1,5,6,3,2,7]=>[1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>{{1,2,6},{3,4},{5},{7}}=>[3,2,1,1]
[4,1,5,6,3,7,2]=>[1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>{{1,7},{2,6},{3,4},{5}}=>[2,2,2,1]
[4,1,5,6,7,2,3]=>[1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>{{1,2,7},{3,4},{5},{6}}=>[3,2,1,1]
[4,1,5,6,7,3,2]=>[1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>{{1,2,7},{3,4},{5},{6}}=>[3,2,1,1]
[4,1,5,7,2,3,6]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>{{1,2,6,7},{3,4},{5}}=>[4,2,1]
[4,1,5,7,2,6,3]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>{{1,2,6,7},{3,4},{5}}=>[4,2,1]
[4,1,5,7,3,2,6]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>{{1,2,6,7},{3,4},{5}}=>[4,2,1]
[4,1,5,7,3,6,2]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>{{1,2,6,7},{3,4},{5}}=>[4,2,1]
[4,1,5,7,6,2,3]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>{{1,2,6,7},{3,4},{5}}=>[4,2,1]
[4,1,5,7,6,3,2]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>{{1,2,6,7},{3,4},{5}}=>[4,2,1]
[4,1,6,2,3,5,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>{{1,2,5,6},{3,4},{7}}=>[4,2,1]
[4,1,6,2,3,7,5]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>{{1,7},{2,5,6},{3,4}}=>[3,2,2]
[4,1,6,2,5,3,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>{{1,2,5,6},{3,4},{7}}=>[4,2,1]
[4,1,6,2,5,7,3]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>{{1,7},{2,5,6},{3,4}}=>[3,2,2]
[4,1,6,2,7,3,5]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>{{1,2,7},{3,4},{5,6}}=>[3,2,2]
[4,1,6,2,7,5,3]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>{{1,2,7},{3,4},{5,6}}=>[3,2,2]
[4,1,6,3,2,5,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>{{1,2,5,6},{3,4},{7}}=>[4,2,1]
[4,1,6,3,2,7,5]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>{{1,7},{2,5,6},{3,4}}=>[3,2,2]
[4,1,6,3,5,2,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>{{1,2,5,6},{3,4},{7}}=>[4,2,1]
[4,1,6,3,5,7,2]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>{{1,7},{2,5,6},{3,4}}=>[3,2,2]
[4,1,6,3,7,2,5]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>{{1,2,7},{3,4},{5,6}}=>[3,2,2]
[4,1,6,3,7,5,2]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>{{1,2,7},{3,4},{5,6}}=>[3,2,2]
[4,1,6,5,2,3,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>{{1,2,5,6},{3,4},{7}}=>[4,2,1]
[4,1,6,5,2,7,3]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>{{1,7},{2,5,6},{3,4}}=>[3,2,2]
[4,1,6,5,3,2,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>{{1,2,5,6},{3,4},{7}}=>[4,2,1]
[4,1,6,5,3,7,2]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>{{1,7},{2,5,6},{3,4}}=>[3,2,2]
[4,1,6,5,7,2,3]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>{{1,2,7},{3,4},{5,6}}=>[3,2,2]
[4,1,6,5,7,3,2]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>{{1,2,7},{3,4},{5,6}}=>[3,2,2]
[4,1,6,7,2,3,5]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>{{1,2,5,7},{3,4},{6}}=>[4,2,1]
[4,1,6,7,2,5,3]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>{{1,2,5,7},{3,4},{6}}=>[4,2,1]
[4,1,6,7,3,2,5]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>{{1,2,5,7},{3,4},{6}}=>[4,2,1]
[4,1,6,7,3,5,2]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>{{1,2,5,7},{3,4},{6}}=>[4,2,1]
[4,1,6,7,5,2,3]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>{{1,2,5,7},{3,4},{6}}=>[4,2,1]
[4,1,6,7,5,3,2]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>{{1,2,5,7},{3,4},{6}}=>[4,2,1]
[4,1,7,2,3,5,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>{{1,2,5,6,7},{3,4}}=>[5,2]
[4,1,7,2,3,6,5]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>{{1,2,5,6,7},{3,4}}=>[5,2]
[4,1,7,2,5,3,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>{{1,2,5,6,7},{3,4}}=>[5,2]
[4,1,7,2,5,6,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>{{1,2,5,6,7},{3,4}}=>[5,2]
[4,1,7,2,6,3,5]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>{{1,2,5,6,7},{3,4}}=>[5,2]
[4,1,7,2,6,5,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>{{1,2,5,6,7},{3,4}}=>[5,2]
[4,1,7,3,2,5,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>{{1,2,5,6,7},{3,4}}=>[5,2]
[4,1,7,3,2,6,5]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>{{1,2,5,6,7},{3,4}}=>[5,2]
[4,1,7,3,5,2,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>{{1,2,5,6,7},{3,4}}=>[5,2]
[4,1,7,3,5,6,2]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>{{1,2,5,6,7},{3,4}}=>[5,2]
[4,1,7,3,6,2,5]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>{{1,2,5,6,7},{3,4}}=>[5,2]
[4,1,7,3,6,5,2]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>{{1,2,5,6,7},{3,4}}=>[5,2]
[4,1,7,5,2,3,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>{{1,2,5,6,7},{3,4}}=>[5,2]
[4,1,7,5,2,6,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>{{1,2,5,6,7},{3,4}}=>[5,2]
[4,1,7,5,3,2,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>{{1,2,5,6,7},{3,4}}=>[5,2]
[4,1,7,5,3,6,2]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>{{1,2,5,6,7},{3,4}}=>[5,2]
[4,1,7,5,6,2,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>{{1,2,5,6,7},{3,4}}=>[5,2]
[4,1,7,5,6,3,2]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>{{1,2,5,6,7},{3,4}}=>[5,2]
[4,1,7,6,2,3,5]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>{{1,2,5,6,7},{3,4}}=>[5,2]
[4,1,7,6,2,5,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>{{1,2,5,6,7},{3,4}}=>[5,2]
[4,1,7,6,3,2,5]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>{{1,2,5,6,7},{3,4}}=>[5,2]
[4,1,7,6,3,5,2]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>{{1,2,5,6,7},{3,4}}=>[5,2]
[4,1,7,6,5,2,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>{{1,2,5,6,7},{3,4}}=>[5,2]
[4,1,7,6,5,3,2]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>{{1,2,5,6,7},{3,4}}=>[5,2]
[4,2,1,3,5,6,7]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>{{1,2,3,4},{5},{6},{7}}=>[4,1,1,1]
[4,2,1,3,5,7,6]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>{{1,2,3,4},{5},{6,7}}=>[4,2,1]
[4,2,1,3,6,5,7]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>{{1,2,3,4},{5,6},{7}}=>[4,2,1]
[4,2,1,3,6,7,5]=>[1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>{{1,2,3,4},{5,7},{6}}=>[4,2,1]
[4,2,1,3,7,5,6]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>{{1,2,3,4},{5,6,7}}=>[4,3]
[4,2,1,3,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>{{1,2,3,4},{5,6,7}}=>[4,3]
[4,2,1,5,3,6,7]=>[1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>{{1,5},{2,3,4},{6},{7}}=>[3,2,1,1]
[4,2,1,5,3,7,6]=>[1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>{{1,5},{2,3,4},{6,7}}=>[3,2,2]
[4,2,1,5,6,3,7]=>[1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>{{1,6},{2,3,4},{5},{7}}=>[3,2,1,1]
[4,2,1,5,6,7,3]=>[1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>{{1,7},{2,3,4},{5},{6}}=>[3,2,1,1]
[4,2,1,5,7,3,6]=>[1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>{{1,6,7},{2,3,4},{5}}=>[3,3,1]
[4,2,1,5,7,6,3]=>[1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>{{1,6,7},{2,3,4},{5}}=>[3,3,1]
[4,2,1,6,3,5,7]=>[1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>{{1,5,6},{2,3,4},{7}}=>[3,3,1]
[4,2,1,6,3,7,5]=>[1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>{{1,7},{2,3,4},{5,6}}=>[3,2,2]
[4,2,1,6,5,3,7]=>[1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>{{1,5,6},{2,3,4},{7}}=>[3,3,1]
[4,2,1,6,5,7,3]=>[1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>{{1,7},{2,3,4},{5,6}}=>[3,2,2]
[4,2,1,6,7,3,5]=>[1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>{{1,5,7},{2,3,4},{6}}=>[3,3,1]
[4,2,1,6,7,5,3]=>[1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>{{1,5,7},{2,3,4},{6}}=>[3,3,1]
[4,2,1,7,3,5,6]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>{{1,5,6,7},{2,3,4}}=>[4,3]
[4,2,1,7,3,6,5]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>{{1,5,6,7},{2,3,4}}=>[4,3]
[4,2,1,7,5,3,6]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>{{1,5,6,7},{2,3,4}}=>[4,3]
[4,2,1,7,5,6,3]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>{{1,5,6,7},{2,3,4}}=>[4,3]
[4,2,1,7,6,3,5]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>{{1,5,6,7},{2,3,4}}=>[4,3]
[4,2,1,7,6,5,3]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>{{1,5,6,7},{2,3,4}}=>[4,3]
[4,2,3,1,5,6,7]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>{{1,2,3,4},{5},{6},{7}}=>[4,1,1,1]
[4,2,3,1,5,7,6]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>{{1,2,3,4},{5},{6,7}}=>[4,2,1]
[4,2,3,1,6,5,7]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>{{1,2,3,4},{5,6},{7}}=>[4,2,1]
[4,2,3,1,6,7,5]=>[1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>{{1,2,3,4},{5,7},{6}}=>[4,2,1]
[4,2,3,1,7,5,6]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>{{1,2,3,4},{5,6,7}}=>[4,3]
[4,2,3,1,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>{{1,2,3,4},{5,6,7}}=>[4,3]
[4,2,3,5,1,6,7]=>[1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>{{1,5},{2,3,4},{6},{7}}=>[3,2,1,1]
[4,2,3,5,1,7,6]=>[1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>{{1,5},{2,3,4},{6,7}}=>[3,2,2]
[4,2,3,5,6,1,7]=>[1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>{{1,6},{2,3,4},{5},{7}}=>[3,2,1,1]
[4,2,3,5,6,7,1]=>[1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>{{1,7},{2,3,4},{5},{6}}=>[3,2,1,1]
[4,2,3,5,7,1,6]=>[1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>{{1,6,7},{2,3,4},{5}}=>[3,3,1]
[4,2,3,5,7,6,1]=>[1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>{{1,6,7},{2,3,4},{5}}=>[3,3,1]
[4,2,3,6,1,5,7]=>[1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>{{1,5,6},{2,3,4},{7}}=>[3,3,1]
[4,2,3,6,1,7,5]=>[1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>{{1,7},{2,3,4},{5,6}}=>[3,2,2]
[4,2,3,6,5,1,7]=>[1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>{{1,5,6},{2,3,4},{7}}=>[3,3,1]
[4,2,3,6,5,7,1]=>[1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>{{1,7},{2,3,4},{5,6}}=>[3,2,2]
[4,2,3,6,7,1,5]=>[1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>{{1,5,7},{2,3,4},{6}}=>[3,3,1]
[4,2,3,6,7,5,1]=>[1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>{{1,5,7},{2,3,4},{6}}=>[3,3,1]
[4,2,3,7,1,5,6]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>{{1,5,6,7},{2,3,4}}=>[4,3]
[4,2,3,7,1,6,5]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>{{1,5,6,7},{2,3,4}}=>[4,3]
[4,2,3,7,5,1,6]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>{{1,5,6,7},{2,3,4}}=>[4,3]
[4,2,3,7,5,6,1]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>{{1,5,6,7},{2,3,4}}=>[4,3]
[4,2,3,7,6,1,5]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>{{1,5,6,7},{2,3,4}}=>[4,3]
[4,2,3,7,6,5,1]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>{{1,5,6,7},{2,3,4}}=>[4,3]
[4,2,5,1,3,6,7]=>[1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>{{1,2,5},{3,4},{6},{7}}=>[3,2,1,1]
[4,2,5,1,3,7,6]=>[1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>{{1,2,5},{3,4},{6,7}}=>[3,2,2]
[4,2,5,1,6,3,7]=>[1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>{{1,6},{2,5},{3,4},{7}}=>[2,2,2,1]
[4,2,5,1,6,7,3]=>[1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>{{1,7},{2,5},{3,4},{6}}=>[2,2,2,1]
[4,2,5,1,7,3,6]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>{{1,6,7},{2,5},{3,4}}=>[3,2,2]
[4,2,5,1,7,6,3]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>{{1,6,7},{2,5},{3,4}}=>[3,2,2]
[4,2,5,3,1,6,7]=>[1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>{{1,2,5},{3,4},{6},{7}}=>[3,2,1,1]
[4,2,5,3,1,7,6]=>[1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>{{1,2,5},{3,4},{6,7}}=>[3,2,2]
[4,2,5,3,6,1,7]=>[1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>{{1,6},{2,5},{3,4},{7}}=>[2,2,2,1]
[4,2,5,3,6,7,1]=>[1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>{{1,7},{2,5},{3,4},{6}}=>[2,2,2,1]
[4,2,5,3,7,1,6]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>{{1,6,7},{2,5},{3,4}}=>[3,2,2]
[4,2,5,3,7,6,1]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>{{1,6,7},{2,5},{3,4}}=>[3,2,2]
[4,2,5,6,1,3,7]=>[1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>{{1,2,6},{3,4},{5},{7}}=>[3,2,1,1]
[4,2,5,6,1,7,3]=>[1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>{{1,7},{2,6},{3,4},{5}}=>[2,2,2,1]
[4,2,5,6,3,1,7]=>[1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>{{1,2,6},{3,4},{5},{7}}=>[3,2,1,1]
[4,2,5,6,3,7,1]=>[1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>{{1,7},{2,6},{3,4},{5}}=>[2,2,2,1]
[4,2,5,6,7,1,3]=>[1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>{{1,2,7},{3,4},{5},{6}}=>[3,2,1,1]
[4,2,5,6,7,3,1]=>[1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>{{1,2,7},{3,4},{5},{6}}=>[3,2,1,1]
[4,2,5,7,1,3,6]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>{{1,2,6,7},{3,4},{5}}=>[4,2,1]
[4,2,5,7,1,6,3]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>{{1,2,6,7},{3,4},{5}}=>[4,2,1]
[4,2,5,7,3,1,6]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>{{1,2,6,7},{3,4},{5}}=>[4,2,1]
[4,2,5,7,3,6,1]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>{{1,2,6,7},{3,4},{5}}=>[4,2,1]
[4,2,5,7,6,1,3]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>{{1,2,6,7},{3,4},{5}}=>[4,2,1]
[4,2,5,7,6,3,1]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>{{1,2,6,7},{3,4},{5}}=>[4,2,1]
[4,2,6,1,3,5,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>{{1,2,5,6},{3,4},{7}}=>[4,2,1]
[4,2,6,1,3,7,5]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>{{1,7},{2,5,6},{3,4}}=>[3,2,2]
[4,2,6,1,5,3,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>{{1,2,5,6},{3,4},{7}}=>[4,2,1]
[4,2,6,1,5,7,3]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>{{1,7},{2,5,6},{3,4}}=>[3,2,2]
[4,2,6,1,7,3,5]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>{{1,2,7},{3,4},{5,6}}=>[3,2,2]
[4,2,6,1,7,5,3]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>{{1,2,7},{3,4},{5,6}}=>[3,2,2]
[4,2,6,3,1,5,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>{{1,2,5,6},{3,4},{7}}=>[4,2,1]
[4,2,6,3,1,7,5]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>{{1,7},{2,5,6},{3,4}}=>[3,2,2]
[4,2,6,3,5,1,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>{{1,2,5,6},{3,4},{7}}=>[4,2,1]
[4,2,6,3,5,7,1]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>{{1,7},{2,5,6},{3,4}}=>[3,2,2]
[4,2,6,3,7,1,5]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>{{1,2,7},{3,4},{5,6}}=>[3,2,2]
[4,2,6,3,7,5,1]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>{{1,2,7},{3,4},{5,6}}=>[3,2,2]
[4,2,6,5,1,3,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>{{1,2,5,6},{3,4},{7}}=>[4,2,1]
[4,2,6,5,1,7,3]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>{{1,7},{2,5,6},{3,4}}=>[3,2,2]
[4,2,6,5,3,1,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>{{1,2,5,6},{3,4},{7}}=>[4,2,1]
[4,2,6,5,3,7,1]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>{{1,7},{2,5,6},{3,4}}=>[3,2,2]
[4,2,6,5,7,1,3]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>{{1,2,7},{3,4},{5,6}}=>[3,2,2]
[4,2,6,5,7,3,1]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>{{1,2,7},{3,4},{5,6}}=>[3,2,2]
[4,2,6,7,1,3,5]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>{{1,2,5,7},{3,4},{6}}=>[4,2,1]
[4,2,6,7,1,5,3]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>{{1,2,5,7},{3,4},{6}}=>[4,2,1]
[4,2,6,7,3,1,5]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>{{1,2,5,7},{3,4},{6}}=>[4,2,1]
[4,2,6,7,3,5,1]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>{{1,2,5,7},{3,4},{6}}=>[4,2,1]
[4,2,6,7,5,1,3]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>{{1,2,5,7},{3,4},{6}}=>[4,2,1]
[4,2,6,7,5,3,1]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>{{1,2,5,7},{3,4},{6}}=>[4,2,1]
[4,2,7,1,3,5,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>{{1,2,5,6,7},{3,4}}=>[5,2]
[4,2,7,1,3,6,5]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>{{1,2,5,6,7},{3,4}}=>[5,2]
[4,2,7,1,5,3,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>{{1,2,5,6,7},{3,4}}=>[5,2]
[4,2,7,1,5,6,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>{{1,2,5,6,7},{3,4}}=>[5,2]
[4,2,7,1,6,3,5]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>{{1,2,5,6,7},{3,4}}=>[5,2]
[4,2,7,1,6,5,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>{{1,2,5,6,7},{3,4}}=>[5,2]
[4,2,7,3,1,5,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>{{1,2,5,6,7},{3,4}}=>[5,2]
[4,2,7,3,1,6,5]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>{{1,2,5,6,7},{3,4}}=>[5,2]
[4,2,7,3,5,1,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>{{1,2,5,6,7},{3,4}}=>[5,2]
[4,2,7,3,5,6,1]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>{{1,2,5,6,7},{3,4}}=>[5,2]
[4,2,7,3,6,1,5]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>{{1,2,5,6,7},{3,4}}=>[5,2]
[4,2,7,3,6,5,1]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>{{1,2,5,6,7},{3,4}}=>[5,2]
[4,2,7,5,1,3,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>{{1,2,5,6,7},{3,4}}=>[5,2]
[4,2,7,5,1,6,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>{{1,2,5,6,7},{3,4}}=>[5,2]
[4,2,7,5,3,1,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>{{1,2,5,6,7},{3,4}}=>[5,2]
[4,2,7,5,3,6,1]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>{{1,2,5,6,7},{3,4}}=>[5,2]
[4,2,7,5,6,1,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>{{1,2,5,6,7},{3,4}}=>[5,2]
[4,2,7,5,6,3,1]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>{{1,2,5,6,7},{3,4}}=>[5,2]
[4,2,7,6,1,3,5]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>{{1,2,5,6,7},{3,4}}=>[5,2]
[4,2,7,6,1,5,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>{{1,2,5,6,7},{3,4}}=>[5,2]
[4,2,7,6,3,1,5]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>{{1,2,5,6,7},{3,4}}=>[5,2]
[4,2,7,6,3,5,1]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>{{1,2,5,6,7},{3,4}}=>[5,2]
[4,2,7,6,5,1,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>{{1,2,5,6,7},{3,4}}=>[5,2]
[4,2,7,6,5,3,1]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>{{1,2,5,6,7},{3,4}}=>[5,2]
[4,3,1,2,5,6,7]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>{{1,2,3,4},{5},{6},{7}}=>[4,1,1,1]
[4,3,1,2,5,7,6]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>{{1,2,3,4},{5},{6,7}}=>[4,2,1]
[4,3,1,2,6,5,7]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>{{1,2,3,4},{5,6},{7}}=>[4,2,1]
[4,3,1,2,6,7,5]=>[1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>{{1,2,3,4},{5,7},{6}}=>[4,2,1]
[4,3,1,2,7,5,6]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>{{1,2,3,4},{5,6,7}}=>[4,3]
[4,3,1,2,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>{{1,2,3,4},{5,6,7}}=>[4,3]
[4,3,1,5,2,6,7]=>[1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>{{1,5},{2,3,4},{6},{7}}=>[3,2,1,1]
[4,3,1,5,2,7,6]=>[1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>{{1,5},{2,3,4},{6,7}}=>[3,2,2]
[4,3,1,5,6,2,7]=>[1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>{{1,6},{2,3,4},{5},{7}}=>[3,2,1,1]
[4,3,1,5,6,7,2]=>[1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>{{1,7},{2,3,4},{5},{6}}=>[3,2,1,1]
[4,3,1,5,7,2,6]=>[1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>{{1,6,7},{2,3,4},{5}}=>[3,3,1]
[4,3,1,5,7,6,2]=>[1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>{{1,6,7},{2,3,4},{5}}=>[3,3,1]
[4,3,1,6,2,5,7]=>[1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>{{1,5,6},{2,3,4},{7}}=>[3,3,1]
[4,3,1,6,2,7,5]=>[1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>{{1,7},{2,3,4},{5,6}}=>[3,2,2]
[4,3,1,6,5,2,7]=>[1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>{{1,5,6},{2,3,4},{7}}=>[3,3,1]
[4,3,1,6,5,7,2]=>[1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>{{1,7},{2,3,4},{5,6}}=>[3,2,2]
[4,3,1,6,7,2,5]=>[1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>{{1,5,7},{2,3,4},{6}}=>[3,3,1]
[4,3,1,6,7,5,2]=>[1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>{{1,5,7},{2,3,4},{6}}=>[3,3,1]
[4,3,1,7,2,5,6]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>{{1,5,6,7},{2,3,4}}=>[4,3]
[4,3,1,7,2,6,5]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>{{1,5,6,7},{2,3,4}}=>[4,3]
[4,3,1,7,5,2,6]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>{{1,5,6,7},{2,3,4}}=>[4,3]
[4,3,1,7,5,6,2]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>{{1,5,6,7},{2,3,4}}=>[4,3]
[4,3,1,7,6,2,5]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>{{1,5,6,7},{2,3,4}}=>[4,3]
[4,3,1,7,6,5,2]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>{{1,5,6,7},{2,3,4}}=>[4,3]
[4,3,2,1,5,6,7]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>{{1,2,3,4},{5},{6},{7}}=>[4,1,1,1]
[4,3,2,1,5,7,6]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>{{1,2,3,4},{5},{6,7}}=>[4,2,1]
[4,3,2,1,6,5,7]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>{{1,2,3,4},{5,6},{7}}=>[4,2,1]
[4,3,2,1,6,7,5]=>[1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>{{1,2,3,4},{5,7},{6}}=>[4,2,1]
[4,3,2,1,7,5,6]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>{{1,2,3,4},{5,6,7}}=>[4,3]
[4,3,2,1,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>{{1,2,3,4},{5,6,7}}=>[4,3]
[4,3,2,5,1,6,7]=>[1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>{{1,5},{2,3,4},{6},{7}}=>[3,2,1,1]
[4,3,2,5,1,7,6]=>[1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>{{1,5},{2,3,4},{6,7}}=>[3,2,2]
[4,3,2,5,6,1,7]=>[1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>{{1,6},{2,3,4},{5},{7}}=>[3,2,1,1]
[4,3,2,5,6,7,1]=>[1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>{{1,7},{2,3,4},{5},{6}}=>[3,2,1,1]
[4,3,2,5,7,1,6]=>[1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>{{1,6,7},{2,3,4},{5}}=>[3,3,1]
[4,3,2,5,7,6,1]=>[1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>{{1,6,7},{2,3,4},{5}}=>[3,3,1]
[4,3,2,6,1,5,7]=>[1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>{{1,5,6},{2,3,4},{7}}=>[3,3,1]
[4,3,2,6,1,7,5]=>[1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>{{1,7},{2,3,4},{5,6}}=>[3,2,2]
[4,3,2,6,5,1,7]=>[1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>{{1,5,6},{2,3,4},{7}}=>[3,3,1]
[4,3,2,6,5,7,1]=>[1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>{{1,7},{2,3,4},{5,6}}=>[3,2,2]
[4,3,2,6,7,1,5]=>[1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>{{1,5,7},{2,3,4},{6}}=>[3,3,1]
[4,3,2,6,7,5,1]=>[1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>{{1,5,7},{2,3,4},{6}}=>[3,3,1]
[4,3,2,7,1,5,6]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>{{1,5,6,7},{2,3,4}}=>[4,3]
[4,3,2,7,1,6,5]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>{{1,5,6,7},{2,3,4}}=>[4,3]
[4,3,2,7,5,1,6]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>{{1,5,6,7},{2,3,4}}=>[4,3]
[4,3,2,7,5,6,1]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>{{1,5,6,7},{2,3,4}}=>[4,3]
[4,3,2,7,6,1,5]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>{{1,5,6,7},{2,3,4}}=>[4,3]
[4,3,2,7,6,5,1]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>{{1,5,6,7},{2,3,4}}=>[4,3]
[4,3,5,1,2,6,7]=>[1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>{{1,2,5},{3,4},{6},{7}}=>[3,2,1,1]
[4,3,5,1,2,7,6]=>[1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>{{1,2,5},{3,4},{6,7}}=>[3,2,2]
[4,3,5,1,6,2,7]=>[1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>{{1,6},{2,5},{3,4},{7}}=>[2,2,2,1]
[4,3,5,1,6,7,2]=>[1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>{{1,7},{2,5},{3,4},{6}}=>[2,2,2,1]
[4,3,5,1,7,2,6]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>{{1,6,7},{2,5},{3,4}}=>[3,2,2]
[4,3,5,1,7,6,2]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>{{1,6,7},{2,5},{3,4}}=>[3,2,2]
[4,3,5,2,1,6,7]=>[1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>{{1,2,5},{3,4},{6},{7}}=>[3,2,1,1]
[4,3,5,2,1,7,6]=>[1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>{{1,2,5},{3,4},{6,7}}=>[3,2,2]
[4,3,5,2,6,1,7]=>[1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>{{1,6},{2,5},{3,4},{7}}=>[2,2,2,1]
[4,3,5,2,6,7,1]=>[1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>{{1,7},{2,5},{3,4},{6}}=>[2,2,2,1]
[4,3,5,2,7,1,6]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>{{1,6,7},{2,5},{3,4}}=>[3,2,2]
[4,3,5,2,7,6,1]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>{{1,6,7},{2,5},{3,4}}=>[3,2,2]
[4,3,5,6,1,2,7]=>[1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>{{1,2,6},{3,4},{5},{7}}=>[3,2,1,1]
[4,3,5,6,1,7,2]=>[1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>{{1,7},{2,6},{3,4},{5}}=>[2,2,2,1]
[4,3,5,6,2,1,7]=>[1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>{{1,2,6},{3,4},{5},{7}}=>[3,2,1,1]
[4,3,5,6,2,7,1]=>[1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>{{1,7},{2,6},{3,4},{5}}=>[2,2,2,1]
[4,3,5,6,7,1,2]=>[1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>{{1,2,7},{3,4},{5},{6}}=>[3,2,1,1]
[4,3,5,6,7,2,1]=>[1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>{{1,2,7},{3,4},{5},{6}}=>[3,2,1,1]
[4,3,5,7,1,2,6]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>{{1,2,6,7},{3,4},{5}}=>[4,2,1]
[4,3,5,7,1,6,2]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>{{1,2,6,7},{3,4},{5}}=>[4,2,1]
[4,3,5,7,2,1,6]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>{{1,2,6,7},{3,4},{5}}=>[4,2,1]
[4,3,5,7,2,6,1]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>{{1,2,6,7},{3,4},{5}}=>[4,2,1]
[4,3,5,7,6,1,2]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>{{1,2,6,7},{3,4},{5}}=>[4,2,1]
[4,3,5,7,6,2,1]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>{{1,2,6,7},{3,4},{5}}=>[4,2,1]
[4,3,6,1,2,5,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>{{1,2,5,6},{3,4},{7}}=>[4,2,1]
[4,3,6,1,2,7,5]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>{{1,7},{2,5,6},{3,4}}=>[3,2,2]
[4,3,6,1,5,2,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>{{1,2,5,6},{3,4},{7}}=>[4,2,1]
[4,3,6,1,5,7,2]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>{{1,7},{2,5,6},{3,4}}=>[3,2,2]
[4,3,6,1,7,2,5]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>{{1,2,7},{3,4},{5,6}}=>[3,2,2]
[4,3,6,1,7,5,2]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>{{1,2,7},{3,4},{5,6}}=>[3,2,2]
[4,3,6,2,1,5,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>{{1,2,5,6},{3,4},{7}}=>[4,2,1]
[4,3,6,2,1,7,5]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>{{1,7},{2,5,6},{3,4}}=>[3,2,2]
[4,3,6,2,5,1,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>{{1,2,5,6},{3,4},{7}}=>[4,2,1]
[4,3,6,2,5,7,1]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>{{1,7},{2,5,6},{3,4}}=>[3,2,2]
[4,3,6,2,7,1,5]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>{{1,2,7},{3,4},{5,6}}=>[3,2,2]
[4,3,6,2,7,5,1]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>{{1,2,7},{3,4},{5,6}}=>[3,2,2]
[4,3,6,5,1,2,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>{{1,2,5,6},{3,4},{7}}=>[4,2,1]
[4,3,6,5,1,7,2]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>{{1,7},{2,5,6},{3,4}}=>[3,2,2]
[4,3,6,5,2,1,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>{{1,2,5,6},{3,4},{7}}=>[4,2,1]
[4,3,6,5,2,7,1]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>{{1,7},{2,5,6},{3,4}}=>[3,2,2]
[4,3,6,5,7,1,2]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>{{1,2,7},{3,4},{5,6}}=>[3,2,2]
[4,3,6,5,7,2,1]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>{{1,2,7},{3,4},{5,6}}=>[3,2,2]
[4,3,6,7,1,2,5]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>{{1,2,5,7},{3,4},{6}}=>[4,2,1]
[4,3,6,7,1,5,2]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>{{1,2,5,7},{3,4},{6}}=>[4,2,1]
[4,3,6,7,2,1,5]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>{{1,2,5,7},{3,4},{6}}=>[4,2,1]
[4,3,6,7,2,5,1]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>{{1,2,5,7},{3,4},{6}}=>[4,2,1]
[4,3,6,7,5,1,2]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>{{1,2,5,7},{3,4},{6}}=>[4,2,1]
[4,3,6,7,5,2,1]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>{{1,2,5,7},{3,4},{6}}=>[4,2,1]
[4,3,7,1,2,5,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>{{1,2,5,6,7},{3,4}}=>[5,2]
[4,3,7,1,2,6,5]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>{{1,2,5,6,7},{3,4}}=>[5,2]
[4,3,7,1,5,2,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>{{1,2,5,6,7},{3,4}}=>[5,2]
[4,3,7,1,5,6,2]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>{{1,2,5,6,7},{3,4}}=>[5,2]
[4,3,7,1,6,2,5]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>{{1,2,5,6,7},{3,4}}=>[5,2]
[4,3,7,1,6,5,2]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>{{1,2,5,6,7},{3,4}}=>[5,2]
[4,3,7,2,1,5,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>{{1,2,5,6,7},{3,4}}=>[5,2]
[4,3,7,2,1,6,5]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>{{1,2,5,6,7},{3,4}}=>[5,2]
[4,3,7,2,5,1,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>{{1,2,5,6,7},{3,4}}=>[5,2]
[4,3,7,2,5,6,1]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>{{1,2,5,6,7},{3,4}}=>[5,2]
[4,3,7,2,6,1,5]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>{{1,2,5,6,7},{3,4}}=>[5,2]
[4,3,7,2,6,5,1]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>{{1,2,5,6,7},{3,4}}=>[5,2]
[4,3,7,5,1,2,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>{{1,2,5,6,7},{3,4}}=>[5,2]
[4,3,7,5,1,6,2]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>{{1,2,5,6,7},{3,4}}=>[5,2]
[4,3,7,5,2,1,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>{{1,2,5,6,7},{3,4}}=>[5,2]
[4,3,7,5,2,6,1]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>{{1,2,5,6,7},{3,4}}=>[5,2]
[4,3,7,5,6,1,2]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>{{1,2,5,6,7},{3,4}}=>[5,2]
[4,3,7,5,6,2,1]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>{{1,2,5,6,7},{3,4}}=>[5,2]
[4,3,7,6,1,2,5]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>{{1,2,5,6,7},{3,4}}=>[5,2]
[4,3,7,6,1,5,2]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>{{1,2,5,6,7},{3,4}}=>[5,2]
[4,3,7,6,2,1,5]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>{{1,2,5,6,7},{3,4}}=>[5,2]
[4,3,7,6,2,5,1]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>{{1,2,5,6,7},{3,4}}=>[5,2]
[4,3,7,6,5,1,2]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>{{1,2,5,6,7},{3,4}}=>[5,2]
[4,3,7,6,5,2,1]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>{{1,2,5,6,7},{3,4}}=>[5,2]
[4,5,1,2,3,6,7]=>[1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>{{1,2,3,5},{4},{6},{7}}=>[4,1,1,1]
[4,5,1,2,3,7,6]=>[1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>{{1,2,3,5},{4},{6,7}}=>[4,2,1]
[4,5,1,2,6,3,7]=>[1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>{{1,6},{2,3,5},{4},{7}}=>[3,2,1,1]
[4,5,1,2,6,7,3]=>[1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>{{1,7},{2,3,5},{4},{6}}=>[3,2,1,1]
[4,5,1,2,7,3,6]=>[1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>{{1,6,7},{2,3,5},{4}}=>[3,3,1]
[4,5,1,2,7,6,3]=>[1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>{{1,6,7},{2,3,5},{4}}=>[3,3,1]
[4,5,1,3,2,6,7]=>[1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>{{1,2,3,5},{4},{6},{7}}=>[4,1,1,1]
[4,5,1,3,2,7,6]=>[1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>{{1,2,3,5},{4},{6,7}}=>[4,2,1]
[4,5,1,3,6,2,7]=>[1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>{{1,6},{2,3,5},{4},{7}}=>[3,2,1,1]
[4,5,1,3,6,7,2]=>[1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>{{1,7},{2,3,5},{4},{6}}=>[3,2,1,1]
[4,5,1,3,7,2,6]=>[1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>{{1,6,7},{2,3,5},{4}}=>[3,3,1]
[4,5,1,3,7,6,2]=>[1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>{{1,6,7},{2,3,5},{4}}=>[3,3,1]
[4,5,1,6,2,3,7]=>[1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>{{1,2,6},{3,5},{4},{7}}=>[3,2,1,1]
[4,5,1,6,2,7,3]=>[1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>{{1,7},{2,6},{3,5},{4}}=>[2,2,2,1]
[4,5,1,6,3,2,7]=>[1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>{{1,2,6},{3,5},{4},{7}}=>[3,2,1,1]
[4,5,1,6,3,7,2]=>[1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>{{1,7},{2,6},{3,5},{4}}=>[2,2,2,1]
[4,5,1,6,7,2,3]=>[1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>{{1,2,7},{3,5},{4},{6}}=>[3,2,1,1]
[4,5,1,6,7,3,2]=>[1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>{{1,2,7},{3,5},{4},{6}}=>[3,2,1,1]
[4,5,1,7,2,3,6]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>{{1,2,6,7},{3,5},{4}}=>[4,2,1]
[4,5,1,7,2,6,3]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>{{1,2,6,7},{3,5},{4}}=>[4,2,1]
[4,5,1,7,3,2,6]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>{{1,2,6,7},{3,5},{4}}=>[4,2,1]
[4,5,1,7,3,6,2]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>{{1,2,6,7},{3,5},{4}}=>[4,2,1]
[4,5,1,7,6,2,3]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>{{1,2,6,7},{3,5},{4}}=>[4,2,1]
[4,5,1,7,6,3,2]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>{{1,2,6,7},{3,5},{4}}=>[4,2,1]
[4,5,2,1,3,6,7]=>[1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>{{1,2,3,5},{4},{6},{7}}=>[4,1,1,1]
[4,5,2,1,3,7,6]=>[1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>{{1,2,3,5},{4},{6,7}}=>[4,2,1]
[4,5,2,1,6,3,7]=>[1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>{{1,6},{2,3,5},{4},{7}}=>[3,2,1,1]
[4,5,2,1,6,7,3]=>[1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>{{1,7},{2,3,5},{4},{6}}=>[3,2,1,1]
[4,5,2,1,7,3,6]=>[1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>{{1,6,7},{2,3,5},{4}}=>[3,3,1]
[4,5,2,1,7,6,3]=>[1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>{{1,6,7},{2,3,5},{4}}=>[3,3,1]
[4,5,2,3,1,6,7]=>[1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>{{1,2,3,5},{4},{6},{7}}=>[4,1,1,1]
[4,5,2,3,1,7,6]=>[1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>{{1,2,3,5},{4},{6,7}}=>[4,2,1]
[4,5,2,3,6,1,7]=>[1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>{{1,6},{2,3,5},{4},{7}}=>[3,2,1,1]
[4,5,2,3,6,7,1]=>[1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>{{1,7},{2,3,5},{4},{6}}=>[3,2,1,1]
[4,5,2,3,7,1,6]=>[1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>{{1,6,7},{2,3,5},{4}}=>[3,3,1]
[4,5,2,3,7,6,1]=>[1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>{{1,6,7},{2,3,5},{4}}=>[3,3,1]
[4,5,2,6,1,3,7]=>[1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>{{1,2,6},{3,5},{4},{7}}=>[3,2,1,1]
[4,5,2,6,1,7,3]=>[1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>{{1,7},{2,6},{3,5},{4}}=>[2,2,2,1]
[4,5,2,6,3,1,7]=>[1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>{{1,2,6},{3,5},{4},{7}}=>[3,2,1,1]
[4,5,2,6,3,7,1]=>[1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>{{1,7},{2,6},{3,5},{4}}=>[2,2,2,1]
[4,5,2,6,7,1,3]=>[1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>{{1,2,7},{3,5},{4},{6}}=>[3,2,1,1]
[4,5,2,6,7,3,1]=>[1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>{{1,2,7},{3,5},{4},{6}}=>[3,2,1,1]
[4,5,2,7,1,3,6]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>{{1,2,6,7},{3,5},{4}}=>[4,2,1]
[4,5,2,7,1,6,3]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>{{1,2,6,7},{3,5},{4}}=>[4,2,1]
[4,5,2,7,3,1,6]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>{{1,2,6,7},{3,5},{4}}=>[4,2,1]
[4,5,2,7,3,6,1]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>{{1,2,6,7},{3,5},{4}}=>[4,2,1]
[4,5,2,7,6,1,3]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>{{1,2,6,7},{3,5},{4}}=>[4,2,1]
[4,5,2,7,6,3,1]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>{{1,2,6,7},{3,5},{4}}=>[4,2,1]
[4,5,3,1,2,6,7]=>[1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>{{1,2,3,5},{4},{6},{7}}=>[4,1,1,1]
[4,5,3,1,2,7,6]=>[1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>{{1,2,3,5},{4},{6,7}}=>[4,2,1]
[4,5,3,1,6,2,7]=>[1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>{{1,6},{2,3,5},{4},{7}}=>[3,2,1,1]
[4,5,3,1,6,7,2]=>[1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>{{1,7},{2,3,5},{4},{6}}=>[3,2,1,1]
[4,5,3,1,7,2,6]=>[1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>{{1,6,7},{2,3,5},{4}}=>[3,3,1]
[4,5,3,1,7,6,2]=>[1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>{{1,6,7},{2,3,5},{4}}=>[3,3,1]
[4,5,3,2,1,6,7]=>[1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>{{1,2,3,5},{4},{6},{7}}=>[4,1,1,1]
[4,5,3,2,1,7,6]=>[1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>{{1,2,3,5},{4},{6,7}}=>[4,2,1]
[4,5,3,2,6,1,7]=>[1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>{{1,6},{2,3,5},{4},{7}}=>[3,2,1,1]
[4,5,3,2,6,7,1]=>[1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>{{1,7},{2,3,5},{4},{6}}=>[3,2,1,1]
[4,5,3,2,7,1,6]=>[1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>{{1,6,7},{2,3,5},{4}}=>[3,3,1]
[4,5,3,2,7,6,1]=>[1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>{{1,6,7},{2,3,5},{4}}=>[3,3,1]
[4,5,3,6,1,2,7]=>[1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>{{1,2,6},{3,5},{4},{7}}=>[3,2,1,1]
[4,5,3,6,1,7,2]=>[1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>{{1,7},{2,6},{3,5},{4}}=>[2,2,2,1]
[4,5,3,6,2,1,7]=>[1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>{{1,2,6},{3,5},{4},{7}}=>[3,2,1,1]
[4,5,3,6,2,7,1]=>[1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>{{1,7},{2,6},{3,5},{4}}=>[2,2,2,1]
[4,5,3,6,7,1,2]=>[1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>{{1,2,7},{3,5},{4},{6}}=>[3,2,1,1]
[4,5,3,6,7,2,1]=>[1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>{{1,2,7},{3,5},{4},{6}}=>[3,2,1,1]
[4,5,3,7,1,2,6]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>{{1,2,6,7},{3,5},{4}}=>[4,2,1]
[4,5,3,7,1,6,2]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>{{1,2,6,7},{3,5},{4}}=>[4,2,1]
[4,5,3,7,2,1,6]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>{{1,2,6,7},{3,5},{4}}=>[4,2,1]
[4,5,3,7,2,6,1]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>{{1,2,6,7},{3,5},{4}}=>[4,2,1]
[4,5,3,7,6,1,2]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>{{1,2,6,7},{3,5},{4}}=>[4,2,1]
[4,5,3,7,6,2,1]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>{{1,2,6,7},{3,5},{4}}=>[4,2,1]
[4,5,6,1,2,3,7]=>[1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>{{1,2,3,6},{4},{5},{7}}=>[4,1,1,1]
[4,5,6,1,2,7,3]=>[1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>{{1,7},{2,3,6},{4},{5}}=>[3,2,1,1]
[4,5,6,1,3,2,7]=>[1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>{{1,2,3,6},{4},{5},{7}}=>[4,1,1,1]
[4,5,6,1,3,7,2]=>[1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>{{1,7},{2,3,6},{4},{5}}=>[3,2,1,1]
[4,5,6,1,7,2,3]=>[1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>{{1,2,7},{3,6},{4},{5}}=>[3,2,1,1]
[4,5,6,1,7,3,2]=>[1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>{{1,2,7},{3,6},{4},{5}}=>[3,2,1,1]
[4,5,6,2,1,3,7]=>[1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>{{1,2,3,6},{4},{5},{7}}=>[4,1,1,1]
[4,5,6,2,1,7,3]=>[1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>{{1,7},{2,3,6},{4},{5}}=>[3,2,1,1]
[4,5,6,2,3,1,7]=>[1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>{{1,2,3,6},{4},{5},{7}}=>[4,1,1,1]
[4,5,6,2,3,7,1]=>[1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>{{1,7},{2,3,6},{4},{5}}=>[3,2,1,1]
[4,5,6,2,7,1,3]=>[1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>{{1,2,7},{3,6},{4},{5}}=>[3,2,1,1]
[4,5,6,2,7,3,1]=>[1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>{{1,2,7},{3,6},{4},{5}}=>[3,2,1,1]
[4,5,6,3,1,2,7]=>[1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>{{1,2,3,6},{4},{5},{7}}=>[4,1,1,1]
[4,5,6,3,1,7,2]=>[1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>{{1,7},{2,3,6},{4},{5}}=>[3,2,1,1]
[4,5,6,3,2,1,7]=>[1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>{{1,2,3,6},{4},{5},{7}}=>[4,1,1,1]
[4,5,6,3,2,7,1]=>[1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>{{1,7},{2,3,6},{4},{5}}=>[3,2,1,1]
[4,5,6,3,7,1,2]=>[1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>{{1,2,7},{3,6},{4},{5}}=>[3,2,1,1]
[4,5,6,3,7,2,1]=>[1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>{{1,2,7},{3,6},{4},{5}}=>[3,2,1,1]
[4,5,6,7,1,2,3]=>[1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>{{1,2,3,7},{4},{5},{6}}=>[4,1,1,1]
[4,5,6,7,1,3,2]=>[1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>{{1,2,3,7},{4},{5},{6}}=>[4,1,1,1]
[4,5,6,7,2,1,3]=>[1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>{{1,2,3,7},{4},{5},{6}}=>[4,1,1,1]
[4,5,6,7,2,3,1]=>[1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>{{1,2,3,7},{4},{5},{6}}=>[4,1,1,1]
[4,5,6,7,3,1,2]=>[1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>{{1,2,3,7},{4},{5},{6}}=>[4,1,1,1]
[4,5,6,7,3,2,1]=>[1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>{{1,2,3,7},{4},{5},{6}}=>[4,1,1,1]
[4,5,7,1,2,3,6]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>{{1,2,3,6,7},{4},{5}}=>[5,1,1]
[4,5,7,1,2,6,3]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>{{1,2,3,6,7},{4},{5}}=>[5,1,1]
[4,5,7,1,3,2,6]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>{{1,2,3,6,7},{4},{5}}=>[5,1,1]
[4,5,7,1,3,6,2]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>{{1,2,3,6,7},{4},{5}}=>[5,1,1]
[4,5,7,1,6,2,3]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>{{1,2,3,6,7},{4},{5}}=>[5,1,1]
[4,5,7,1,6,3,2]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>{{1,2,3,6,7},{4},{5}}=>[5,1,1]
[4,5,7,2,1,3,6]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>{{1,2,3,6,7},{4},{5}}=>[5,1,1]
[4,5,7,2,1,6,3]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>{{1,2,3,6,7},{4},{5}}=>[5,1,1]
[4,5,7,2,3,1,6]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>{{1,2,3,6,7},{4},{5}}=>[5,1,1]
[4,5,7,2,3,6,1]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>{{1,2,3,6,7},{4},{5}}=>[5,1,1]
[4,5,7,2,6,1,3]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>{{1,2,3,6,7},{4},{5}}=>[5,1,1]
[4,5,7,2,6,3,1]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>{{1,2,3,6,7},{4},{5}}=>[5,1,1]
[4,5,7,3,1,2,6]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>{{1,2,3,6,7},{4},{5}}=>[5,1,1]
[4,5,7,3,1,6,2]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>{{1,2,3,6,7},{4},{5}}=>[5,1,1]
[4,5,7,3,2,1,6]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>{{1,2,3,6,7},{4},{5}}=>[5,1,1]
[4,5,7,3,2,6,1]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>{{1,2,3,6,7},{4},{5}}=>[5,1,1]
[4,5,7,3,6,1,2]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>{{1,2,3,6,7},{4},{5}}=>[5,1,1]
[4,5,7,3,6,2,1]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>{{1,2,3,6,7},{4},{5}}=>[5,1,1]
[4,5,7,6,1,2,3]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>{{1,2,3,6,7},{4},{5}}=>[5,1,1]
[4,5,7,6,1,3,2]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>{{1,2,3,6,7},{4},{5}}=>[5,1,1]
[4,5,7,6,2,1,3]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>{{1,2,3,6,7},{4},{5}}=>[5,1,1]
[4,5,7,6,2,3,1]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>{{1,2,3,6,7},{4},{5}}=>[5,1,1]
[4,5,7,6,3,1,2]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>{{1,2,3,6,7},{4},{5}}=>[5,1,1]
[4,5,7,6,3,2,1]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>{{1,2,3,6,7},{4},{5}}=>[5,1,1]
[4,6,1,2,3,5,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>{{1,2,3,5,6},{4},{7}}=>[5,1,1]
[4,6,1,2,3,7,5]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>{{1,7},{2,3,5,6},{4}}=>[4,2,1]
[4,6,1,2,5,3,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>{{1,2,3,5,6},{4},{7}}=>[5,1,1]
[4,6,1,2,5,7,3]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>{{1,7},{2,3,5,6},{4}}=>[4,2,1]
[4,6,1,2,7,3,5]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>{{1,2,7},{3,5,6},{4}}=>[3,3,1]
[4,6,1,2,7,5,3]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>{{1,2,7},{3,5,6},{4}}=>[3,3,1]
[4,6,1,3,2,5,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>{{1,2,3,5,6},{4},{7}}=>[5,1,1]
[4,6,1,3,2,7,5]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>{{1,7},{2,3,5,6},{4}}=>[4,2,1]
[4,6,1,3,5,2,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>{{1,2,3,5,6},{4},{7}}=>[5,1,1]
[4,6,1,3,5,7,2]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>{{1,7},{2,3,5,6},{4}}=>[4,2,1]
[4,6,1,3,7,2,5]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>{{1,2,7},{3,5,6},{4}}=>[3,3,1]
[4,6,1,3,7,5,2]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>{{1,2,7},{3,5,6},{4}}=>[3,3,1]
[4,6,1,5,2,3,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>{{1,2,3,5,6},{4},{7}}=>[5,1,1]
[4,6,1,5,2,7,3]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>{{1,7},{2,3,5,6},{4}}=>[4,2,1]
[4,6,1,5,3,2,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>{{1,2,3,5,6},{4},{7}}=>[5,1,1]
[4,6,1,5,3,7,2]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>{{1,7},{2,3,5,6},{4}}=>[4,2,1]
[4,6,1,5,7,2,3]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>{{1,2,7},{3,5,6},{4}}=>[3,3,1]
[4,6,1,5,7,3,2]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>{{1,2,7},{3,5,6},{4}}=>[3,3,1]
[4,6,1,7,2,3,5]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>{{1,2,3,7},{4},{5,6}}=>[4,2,1]
[4,6,1,7,2,5,3]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>{{1,2,3,7},{4},{5,6}}=>[4,2,1]
[4,6,1,7,3,2,5]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>{{1,2,3,7},{4},{5,6}}=>[4,2,1]
[4,6,1,7,3,5,2]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>{{1,2,3,7},{4},{5,6}}=>[4,2,1]
[4,6,1,7,5,2,3]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>{{1,2,3,7},{4},{5,6}}=>[4,2,1]
[4,6,1,7,5,3,2]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>{{1,2,3,7},{4},{5,6}}=>[4,2,1]
[4,6,2,1,3,5,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>{{1,2,3,5,6},{4},{7}}=>[5,1,1]
[4,6,2,1,3,7,5]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>{{1,7},{2,3,5,6},{4}}=>[4,2,1]
[4,6,2,1,5,3,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>{{1,2,3,5,6},{4},{7}}=>[5,1,1]
[4,6,2,1,5,7,3]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>{{1,7},{2,3,5,6},{4}}=>[4,2,1]
[4,6,2,1,7,3,5]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>{{1,2,7},{3,5,6},{4}}=>[3,3,1]
[4,6,2,1,7,5,3]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>{{1,2,7},{3,5,6},{4}}=>[3,3,1]
[4,6,2,3,1,5,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>{{1,2,3,5,6},{4},{7}}=>[5,1,1]
[4,6,2,3,1,7,5]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>{{1,7},{2,3,5,6},{4}}=>[4,2,1]
[4,6,2,3,5,1,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>{{1,2,3,5,6},{4},{7}}=>[5,1,1]
[4,6,2,3,5,7,1]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>{{1,7},{2,3,5,6},{4}}=>[4,2,1]
[4,6,2,3,7,1,5]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>{{1,2,7},{3,5,6},{4}}=>[3,3,1]
[4,6,2,3,7,5,1]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>{{1,2,7},{3,5,6},{4}}=>[3,3,1]
[4,6,2,5,1,3,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>{{1,2,3,5,6},{4},{7}}=>[5,1,1]
[4,6,2,5,1,7,3]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>{{1,7},{2,3,5,6},{4}}=>[4,2,1]
[4,6,2,5,3,1,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>{{1,2,3,5,6},{4},{7}}=>[5,1,1]
[4,6,2,5,3,7,1]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>{{1,7},{2,3,5,6},{4}}=>[4,2,1]
[4,6,2,5,7,1,3]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>{{1,2,7},{3,5,6},{4}}=>[3,3,1]
[4,6,2,5,7,3,1]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>{{1,2,7},{3,5,6},{4}}=>[3,3,1]
[4,6,2,7,1,3,5]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>{{1,2,3,7},{4},{5,6}}=>[4,2,1]
[4,6,2,7,1,5,3]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>{{1,2,3,7},{4},{5,6}}=>[4,2,1]
[4,6,2,7,3,1,5]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>{{1,2,3,7},{4},{5,6}}=>[4,2,1]
[4,6,2,7,3,5,1]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>{{1,2,3,7},{4},{5,6}}=>[4,2,1]
[4,6,2,7,5,1,3]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>{{1,2,3,7},{4},{5,6}}=>[4,2,1]
[4,6,2,7,5,3,1]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>{{1,2,3,7},{4},{5,6}}=>[4,2,1]
[4,6,3,1,2,5,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>{{1,2,3,5,6},{4},{7}}=>[5,1,1]
[4,6,3,1,2,7,5]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>{{1,7},{2,3,5,6},{4}}=>[4,2,1]
[4,6,3,1,5,2,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>{{1,2,3,5,6},{4},{7}}=>[5,1,1]
[4,6,3,1,5,7,2]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>{{1,7},{2,3,5,6},{4}}=>[4,2,1]
[4,6,3,1,7,2,5]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>{{1,2,7},{3,5,6},{4}}=>[3,3,1]
[4,6,3,1,7,5,2]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>{{1,2,7},{3,5,6},{4}}=>[3,3,1]
[4,6,3,2,1,5,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>{{1,2,3,5,6},{4},{7}}=>[5,1,1]
[4,6,3,2,1,7,5]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>{{1,7},{2,3,5,6},{4}}=>[4,2,1]
[4,6,3,2,5,1,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>{{1,2,3,5,6},{4},{7}}=>[5,1,1]
[4,6,3,2,5,7,1]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>{{1,7},{2,3,5,6},{4}}=>[4,2,1]
[4,6,3,2,7,1,5]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>{{1,2,7},{3,5,6},{4}}=>[3,3,1]
[4,6,3,2,7,5,1]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>{{1,2,7},{3,5,6},{4}}=>[3,3,1]
[4,6,3,5,1,2,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>{{1,2,3,5,6},{4},{7}}=>[5,1,1]
[4,6,3,5,1,7,2]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>{{1,7},{2,3,5,6},{4}}=>[4,2,1]
[4,6,3,5,2,1,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>{{1,2,3,5,6},{4},{7}}=>[5,1,1]
[4,6,3,5,2,7,1]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>{{1,7},{2,3,5,6},{4}}=>[4,2,1]
[4,6,3,5,7,1,2]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>{{1,2,7},{3,5,6},{4}}=>[3,3,1]
[4,6,3,5,7,2,1]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>{{1,2,7},{3,5,6},{4}}=>[3,3,1]
[4,6,3,7,1,2,5]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>{{1,2,3,7},{4},{5,6}}=>[4,2,1]
[4,6,3,7,1,5,2]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>{{1,2,3,7},{4},{5,6}}=>[4,2,1]
[4,6,3,7,2,1,5]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>{{1,2,3,7},{4},{5,6}}=>[4,2,1]
[4,6,3,7,2,5,1]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>{{1,2,3,7},{4},{5,6}}=>[4,2,1]
[4,6,3,7,5,1,2]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>{{1,2,3,7},{4},{5,6}}=>[4,2,1]
[4,6,3,7,5,2,1]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>{{1,2,3,7},{4},{5,6}}=>[4,2,1]
[4,6,5,1,2,3,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>{{1,2,3,5,6},{4},{7}}=>[5,1,1]
[4,6,5,1,2,7,3]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>{{1,7},{2,3,5,6},{4}}=>[4,2,1]
[4,6,5,1,3,2,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>{{1,2,3,5,6},{4},{7}}=>[5,1,1]
[4,6,5,1,3,7,2]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>{{1,7},{2,3,5,6},{4}}=>[4,2,1]
[4,6,5,1,7,2,3]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>{{1,2,7},{3,5,6},{4}}=>[3,3,1]
[4,6,5,1,7,3,2]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>{{1,2,7},{3,5,6},{4}}=>[3,3,1]
[4,6,5,2,1,3,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>{{1,2,3,5,6},{4},{7}}=>[5,1,1]
[4,6,5,2,1,7,3]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>{{1,7},{2,3,5,6},{4}}=>[4,2,1]
[4,6,5,2,3,1,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>{{1,2,3,5,6},{4},{7}}=>[5,1,1]
[4,6,5,2,3,7,1]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>{{1,7},{2,3,5,6},{4}}=>[4,2,1]
[4,6,5,2,7,1,3]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>{{1,2,7},{3,5,6},{4}}=>[3,3,1]
[4,6,5,2,7,3,1]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>{{1,2,7},{3,5,6},{4}}=>[3,3,1]
[4,6,5,3,1,2,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>{{1,2,3,5,6},{4},{7}}=>[5,1,1]
[4,6,5,3,1,7,2]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>{{1,7},{2,3,5,6},{4}}=>[4,2,1]
[4,6,5,3,2,1,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>{{1,2,3,5,6},{4},{7}}=>[5,1,1]
[4,6,5,3,2,7,1]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>{{1,7},{2,3,5,6},{4}}=>[4,2,1]
[4,6,5,3,7,1,2]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>{{1,2,7},{3,5,6},{4}}=>[3,3,1]
[4,6,5,3,7,2,1]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>{{1,2,7},{3,5,6},{4}}=>[3,3,1]
[4,6,5,7,1,2,3]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>{{1,2,3,7},{4},{5,6}}=>[4,2,1]
[4,6,5,7,1,3,2]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>{{1,2,3,7},{4},{5,6}}=>[4,2,1]
[4,6,5,7,2,1,3]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>{{1,2,3,7},{4},{5,6}}=>[4,2,1]
[4,6,5,7,2,3,1]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>{{1,2,3,7},{4},{5,6}}=>[4,2,1]
[4,6,5,7,3,1,2]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>{{1,2,3,7},{4},{5,6}}=>[4,2,1]
[4,6,5,7,3,2,1]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>{{1,2,3,7},{4},{5,6}}=>[4,2,1]
[4,6,7,1,2,3,5]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>{{1,2,3,5,7},{4},{6}}=>[5,1,1]
[4,6,7,1,2,5,3]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>{{1,2,3,5,7},{4},{6}}=>[5,1,1]
[4,6,7,1,3,2,5]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>{{1,2,3,5,7},{4},{6}}=>[5,1,1]
[4,6,7,1,3,5,2]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>{{1,2,3,5,7},{4},{6}}=>[5,1,1]
[4,6,7,1,5,2,3]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>{{1,2,3,5,7},{4},{6}}=>[5,1,1]
[4,6,7,1,5,3,2]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>{{1,2,3,5,7},{4},{6}}=>[5,1,1]
[4,6,7,2,1,3,5]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>{{1,2,3,5,7},{4},{6}}=>[5,1,1]
[4,6,7,2,1,5,3]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>{{1,2,3,5,7},{4},{6}}=>[5,1,1]
[4,6,7,2,3,1,5]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>{{1,2,3,5,7},{4},{6}}=>[5,1,1]
[4,6,7,2,3,5,1]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>{{1,2,3,5,7},{4},{6}}=>[5,1,1]
[4,6,7,2,5,1,3]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>{{1,2,3,5,7},{4},{6}}=>[5,1,1]
[4,6,7,2,5,3,1]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>{{1,2,3,5,7},{4},{6}}=>[5,1,1]
[4,6,7,3,1,2,5]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>{{1,2,3,5,7},{4},{6}}=>[5,1,1]
[4,6,7,3,1,5,2]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>{{1,2,3,5,7},{4},{6}}=>[5,1,1]
[4,6,7,3,2,1,5]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>{{1,2,3,5,7},{4},{6}}=>[5,1,1]
[4,6,7,3,2,5,1]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>{{1,2,3,5,7},{4},{6}}=>[5,1,1]
[4,6,7,3,5,1,2]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>{{1,2,3,5,7},{4},{6}}=>[5,1,1]
[4,6,7,3,5,2,1]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>{{1,2,3,5,7},{4},{6}}=>[5,1,1]
[4,6,7,5,1,2,3]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>{{1,2,3,5,7},{4},{6}}=>[5,1,1]
[4,6,7,5,1,3,2]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>{{1,2,3,5,7},{4},{6}}=>[5,1,1]
[4,6,7,5,2,1,3]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>{{1,2,3,5,7},{4},{6}}=>[5,1,1]
[4,6,7,5,2,3,1]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>{{1,2,3,5,7},{4},{6}}=>[5,1,1]
[4,6,7,5,3,1,2]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>{{1,2,3,5,7},{4},{6}}=>[5,1,1]
[4,6,7,5,3,2,1]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>{{1,2,3,5,7},{4},{6}}=>[5,1,1]
[4,7,1,2,3,5,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,5,6,7},{4}}=>[6,1]
[4,7,1,2,3,6,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,5,6,7},{4}}=>[6,1]
[4,7,1,2,5,3,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,5,6,7},{4}}=>[6,1]
[4,7,1,2,5,6,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,5,6,7},{4}}=>[6,1]
[4,7,1,2,6,3,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,5,6,7},{4}}=>[6,1]
[4,7,1,2,6,5,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,5,6,7},{4}}=>[6,1]
[4,7,1,3,2,5,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,5,6,7},{4}}=>[6,1]
[4,7,1,3,2,6,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,5,6,7},{4}}=>[6,1]
[4,7,1,3,5,2,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,5,6,7},{4}}=>[6,1]
[4,7,1,3,5,6,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,5,6,7},{4}}=>[6,1]
[4,7,1,3,6,2,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,5,6,7},{4}}=>[6,1]
[4,7,1,3,6,5,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,5,6,7},{4}}=>[6,1]
[4,7,1,5,2,3,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,5,6,7},{4}}=>[6,1]
[4,7,1,5,2,6,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,5,6,7},{4}}=>[6,1]
[4,7,1,5,3,2,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,5,6,7},{4}}=>[6,1]
[4,7,1,5,3,6,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,5,6,7},{4}}=>[6,1]
[4,7,1,5,6,2,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,5,6,7},{4}}=>[6,1]
[4,7,1,5,6,3,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,5,6,7},{4}}=>[6,1]
[4,7,1,6,2,3,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,5,6,7},{4}}=>[6,1]
[4,7,1,6,2,5,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,5,6,7},{4}}=>[6,1]
[4,7,1,6,3,2,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,5,6,7},{4}}=>[6,1]
[4,7,1,6,3,5,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,5,6,7},{4}}=>[6,1]
[4,7,1,6,5,2,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,5,6,7},{4}}=>[6,1]
[4,7,1,6,5,3,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,5,6,7},{4}}=>[6,1]
[4,7,2,1,3,5,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,5,6,7},{4}}=>[6,1]
[4,7,2,1,3,6,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,5,6,7},{4}}=>[6,1]
[4,7,2,1,5,3,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,5,6,7},{4}}=>[6,1]
[4,7,2,1,5,6,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,5,6,7},{4}}=>[6,1]
[4,7,2,1,6,3,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,5,6,7},{4}}=>[6,1]
[4,7,2,1,6,5,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,5,6,7},{4}}=>[6,1]
[4,7,2,3,1,5,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,5,6,7},{4}}=>[6,1]
[4,7,2,3,1,6,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,5,6,7},{4}}=>[6,1]
[4,7,2,3,5,1,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,5,6,7},{4}}=>[6,1]
[4,7,2,3,5,6,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,5,6,7},{4}}=>[6,1]
[4,7,2,3,6,1,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,5,6,7},{4}}=>[6,1]
[4,7,2,3,6,5,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,5,6,7},{4}}=>[6,1]
[4,7,2,5,1,3,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,5,6,7},{4}}=>[6,1]
[4,7,2,5,1,6,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,5,6,7},{4}}=>[6,1]
[4,7,2,5,3,1,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,5,6,7},{4}}=>[6,1]
[4,7,2,5,3,6,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,5,6,7},{4}}=>[6,1]
[4,7,2,5,6,1,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,5,6,7},{4}}=>[6,1]
[4,7,2,5,6,3,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,5,6,7},{4}}=>[6,1]
[4,7,2,6,1,3,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,5,6,7},{4}}=>[6,1]
[4,7,2,6,1,5,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,5,6,7},{4}}=>[6,1]
[4,7,2,6,3,1,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,5,6,7},{4}}=>[6,1]
[4,7,2,6,3,5,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,5,6,7},{4}}=>[6,1]
[4,7,2,6,5,1,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,5,6,7},{4}}=>[6,1]
[4,7,2,6,5,3,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,5,6,7},{4}}=>[6,1]
[4,7,3,1,2,5,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,5,6,7},{4}}=>[6,1]
[4,7,3,1,2,6,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,5,6,7},{4}}=>[6,1]
[4,7,3,1,5,2,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,5,6,7},{4}}=>[6,1]
[4,7,3,1,5,6,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,5,6,7},{4}}=>[6,1]
[4,7,3,1,6,2,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,5,6,7},{4}}=>[6,1]
[4,7,3,1,6,5,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,5,6,7},{4}}=>[6,1]
[4,7,3,2,1,5,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,5,6,7},{4}}=>[6,1]
[4,7,3,2,1,6,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,5,6,7},{4}}=>[6,1]
[4,7,3,2,5,1,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,5,6,7},{4}}=>[6,1]
[4,7,3,2,5,6,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,5,6,7},{4}}=>[6,1]
[4,7,3,2,6,1,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,5,6,7},{4}}=>[6,1]
[4,7,3,2,6,5,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,5,6,7},{4}}=>[6,1]
[4,7,3,5,1,2,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,5,6,7},{4}}=>[6,1]
[4,7,3,5,1,6,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,5,6,7},{4}}=>[6,1]
[4,7,3,5,2,1,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,5,6,7},{4}}=>[6,1]
[4,7,3,5,2,6,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,5,6,7},{4}}=>[6,1]
[4,7,3,5,6,1,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,5,6,7},{4}}=>[6,1]
[4,7,3,5,6,2,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,5,6,7},{4}}=>[6,1]
[4,7,3,6,1,2,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,5,6,7},{4}}=>[6,1]
[4,7,3,6,1,5,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,5,6,7},{4}}=>[6,1]
[4,7,3,6,2,1,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,5,6,7},{4}}=>[6,1]
[4,7,3,6,2,5,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,5,6,7},{4}}=>[6,1]
[4,7,3,6,5,1,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,5,6,7},{4}}=>[6,1]
[4,7,3,6,5,2,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,5,6,7},{4}}=>[6,1]
[4,7,5,1,2,3,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,5,6,7},{4}}=>[6,1]
[4,7,5,1,2,6,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,5,6,7},{4}}=>[6,1]
[4,7,5,1,3,2,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,5,6,7},{4}}=>[6,1]
[4,7,5,1,3,6,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,5,6,7},{4}}=>[6,1]
[4,7,5,1,6,2,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,5,6,7},{4}}=>[6,1]
[4,7,5,1,6,3,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,5,6,7},{4}}=>[6,1]
[4,7,5,2,1,3,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,5,6,7},{4}}=>[6,1]
[4,7,5,2,1,6,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,5,6,7},{4}}=>[6,1]
[4,7,5,2,3,1,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,5,6,7},{4}}=>[6,1]
[4,7,5,2,3,6,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,5,6,7},{4}}=>[6,1]
[4,7,5,2,6,1,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,5,6,7},{4}}=>[6,1]
[4,7,5,2,6,3,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,5,6,7},{4}}=>[6,1]
[4,7,5,3,1,2,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,5,6,7},{4}}=>[6,1]
[4,7,5,3,1,6,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,5,6,7},{4}}=>[6,1]
[4,7,5,3,2,1,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,5,6,7},{4}}=>[6,1]
[4,7,5,3,2,6,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,5,6,7},{4}}=>[6,1]
[4,7,5,3,6,1,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,5,6,7},{4}}=>[6,1]
[4,7,5,3,6,2,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,5,6,7},{4}}=>[6,1]
[4,7,5,6,1,2,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,5,6,7},{4}}=>[6,1]
[4,7,5,6,1,3,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,5,6,7},{4}}=>[6,1]
[4,7,5,6,2,1,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,5,6,7},{4}}=>[6,1]
[4,7,5,6,2,3,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,5,6,7},{4}}=>[6,1]
[4,7,5,6,3,1,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,5,6,7},{4}}=>[6,1]
[4,7,5,6,3,2,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,5,6,7},{4}}=>[6,1]
[4,7,6,1,2,3,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,5,6,7},{4}}=>[6,1]
[4,7,6,1,2,5,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,5,6,7},{4}}=>[6,1]
[4,7,6,1,3,2,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,5,6,7},{4}}=>[6,1]
[4,7,6,1,3,5,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,5,6,7},{4}}=>[6,1]
[4,7,6,1,5,2,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,5,6,7},{4}}=>[6,1]
[4,7,6,1,5,3,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,5,6,7},{4}}=>[6,1]
[4,7,6,2,1,3,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,5,6,7},{4}}=>[6,1]
[4,7,6,2,1,5,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,5,6,7},{4}}=>[6,1]
[4,7,6,2,3,1,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,5,6,7},{4}}=>[6,1]
[4,7,6,2,3,5,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,5,6,7},{4}}=>[6,1]
[4,7,6,2,5,1,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,5,6,7},{4}}=>[6,1]
[4,7,6,2,5,3,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,5,6,7},{4}}=>[6,1]
[4,7,6,3,1,2,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,5,6,7},{4}}=>[6,1]
[4,7,6,3,1,5,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,5,6,7},{4}}=>[6,1]
[4,7,6,3,2,1,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,5,6,7},{4}}=>[6,1]
[4,7,6,3,2,5,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,5,6,7},{4}}=>[6,1]
[4,7,6,3,5,1,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,5,6,7},{4}}=>[6,1]
[4,7,6,3,5,2,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,5,6,7},{4}}=>[6,1]
[4,7,6,5,1,2,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,5,6,7},{4}}=>[6,1]
[4,7,6,5,1,3,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,5,6,7},{4}}=>[6,1]
[4,7,6,5,2,1,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,5,6,7},{4}}=>[6,1]
[4,7,6,5,2,3,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,5,6,7},{4}}=>[6,1]
[4,7,6,5,3,1,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,5,6,7},{4}}=>[6,1]
[4,7,6,5,3,2,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,5,6,7},{4}}=>[6,1]
[5,1,2,3,4,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>{{1,2,3,4,5},{6},{7}}=>[5,1,1]
[5,1,2,3,4,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>{{1,2,3,4,5},{6,7}}=>[5,2]
[5,1,2,3,6,4,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>{{1,6},{2,3,4,5},{7}}=>[4,2,1]
[5,1,2,3,6,7,4]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>{{1,7},{2,3,4,5},{6}}=>[4,2,1]
[5,1,2,3,7,4,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>{{1,6,7},{2,3,4,5}}=>[4,3]
[5,1,2,3,7,6,4]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>{{1,6,7},{2,3,4,5}}=>[4,3]
[5,1,2,4,3,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>{{1,2,3,4,5},{6},{7}}=>[5,1,1]
[5,1,2,4,3,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>{{1,2,3,4,5},{6,7}}=>[5,2]
[5,1,2,4,6,3,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>{{1,6},{2,3,4,5},{7}}=>[4,2,1]
[5,1,2,4,6,7,3]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>{{1,7},{2,3,4,5},{6}}=>[4,2,1]
[5,1,2,4,7,3,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>{{1,6,7},{2,3,4,5}}=>[4,3]
[5,1,2,4,7,6,3]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>{{1,6,7},{2,3,4,5}}=>[4,3]
[5,1,2,6,3,4,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>{{1,2,6},{3,4,5},{7}}=>[3,3,1]
[5,1,2,6,3,7,4]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>{{1,7},{2,6},{3,4,5}}=>[3,2,2]
[5,1,2,6,4,3,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>{{1,2,6},{3,4,5},{7}}=>[3,3,1]
[5,1,2,6,4,7,3]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>{{1,7},{2,6},{3,4,5}}=>[3,2,2]
[5,1,2,6,7,3,4]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>{{1,2,7},{3,4,5},{6}}=>[3,3,1]
[5,1,2,6,7,4,3]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>{{1,2,7},{3,4,5},{6}}=>[3,3,1]
[5,1,2,7,3,4,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>{{1,2,6,7},{3,4,5}}=>[4,3]
[5,1,2,7,3,6,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>{{1,2,6,7},{3,4,5}}=>[4,3]
[5,1,2,7,4,3,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>{{1,2,6,7},{3,4,5}}=>[4,3]
[5,1,2,7,4,6,3]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>{{1,2,6,7},{3,4,5}}=>[4,3]
[5,1,2,7,6,3,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>{{1,2,6,7},{3,4,5}}=>[4,3]
[5,1,2,7,6,4,3]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>{{1,2,6,7},{3,4,5}}=>[4,3]
[5,1,3,2,4,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>{{1,2,3,4,5},{6},{7}}=>[5,1,1]
[5,1,3,2,4,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>{{1,2,3,4,5},{6,7}}=>[5,2]
[5,1,3,2,6,4,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>{{1,6},{2,3,4,5},{7}}=>[4,2,1]
[5,1,3,2,6,7,4]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>{{1,7},{2,3,4,5},{6}}=>[4,2,1]
[5,1,3,2,7,4,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>{{1,6,7},{2,3,4,5}}=>[4,3]
[5,1,3,2,7,6,4]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>{{1,6,7},{2,3,4,5}}=>[4,3]
[5,1,3,4,2,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>{{1,2,3,4,5},{6},{7}}=>[5,1,1]
[5,1,3,4,2,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>{{1,2,3,4,5},{6,7}}=>[5,2]
[5,1,3,4,6,2,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>{{1,6},{2,3,4,5},{7}}=>[4,2,1]
[5,1,3,4,6,7,2]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>{{1,7},{2,3,4,5},{6}}=>[4,2,1]
[5,1,3,4,7,2,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>{{1,6,7},{2,3,4,5}}=>[4,3]
[5,1,3,4,7,6,2]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>{{1,6,7},{2,3,4,5}}=>[4,3]
[5,1,3,6,2,4,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>{{1,2,6},{3,4,5},{7}}=>[3,3,1]
[5,1,3,6,2,7,4]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>{{1,7},{2,6},{3,4,5}}=>[3,2,2]
[5,1,3,6,4,2,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>{{1,2,6},{3,4,5},{7}}=>[3,3,1]
[5,1,3,6,4,7,2]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>{{1,7},{2,6},{3,4,5}}=>[3,2,2]
[5,1,3,6,7,2,4]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>{{1,2,7},{3,4,5},{6}}=>[3,3,1]
[5,1,3,6,7,4,2]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>{{1,2,7},{3,4,5},{6}}=>[3,3,1]
[5,1,3,7,2,4,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>{{1,2,6,7},{3,4,5}}=>[4,3]
[5,1,3,7,2,6,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>{{1,2,6,7},{3,4,5}}=>[4,3]
[5,1,3,7,4,2,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>{{1,2,6,7},{3,4,5}}=>[4,3]
[5,1,3,7,4,6,2]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>{{1,2,6,7},{3,4,5}}=>[4,3]
[5,1,3,7,6,2,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>{{1,2,6,7},{3,4,5}}=>[4,3]
[5,1,3,7,6,4,2]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>{{1,2,6,7},{3,4,5}}=>[4,3]
[5,1,4,2,3,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>{{1,2,3,4,5},{6},{7}}=>[5,1,1]
[5,1,4,2,3,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>{{1,2,3,4,5},{6,7}}=>[5,2]
[5,1,4,2,6,3,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>{{1,6},{2,3,4,5},{7}}=>[4,2,1]
[5,1,4,2,6,7,3]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>{{1,7},{2,3,4,5},{6}}=>[4,2,1]
[5,1,4,2,7,3,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>{{1,6,7},{2,3,4,5}}=>[4,3]
[5,1,4,2,7,6,3]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>{{1,6,7},{2,3,4,5}}=>[4,3]
[5,1,4,3,2,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>{{1,2,3,4,5},{6},{7}}=>[5,1,1]
[5,1,4,3,2,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>{{1,2,3,4,5},{6,7}}=>[5,2]
[5,1,4,3,6,2,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>{{1,6},{2,3,4,5},{7}}=>[4,2,1]
[5,1,4,3,6,7,2]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>{{1,7},{2,3,4,5},{6}}=>[4,2,1]
[5,1,4,3,7,2,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>{{1,6,7},{2,3,4,5}}=>[4,3]
[5,1,4,3,7,6,2]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>{{1,6,7},{2,3,4,5}}=>[4,3]
[5,1,4,6,2,3,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>{{1,2,6},{3,4,5},{7}}=>[3,3,1]
[5,1,4,6,2,7,3]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>{{1,7},{2,6},{3,4,5}}=>[3,2,2]
[5,1,4,6,3,2,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>{{1,2,6},{3,4,5},{7}}=>[3,3,1]
[5,1,4,6,3,7,2]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>{{1,7},{2,6},{3,4,5}}=>[3,2,2]
[5,1,4,6,7,2,3]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>{{1,2,7},{3,4,5},{6}}=>[3,3,1]
[5,1,4,6,7,3,2]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>{{1,2,7},{3,4,5},{6}}=>[3,3,1]
[5,1,4,7,2,3,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>{{1,2,6,7},{3,4,5}}=>[4,3]
[5,1,4,7,2,6,3]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>{{1,2,6,7},{3,4,5}}=>[4,3]
[5,1,4,7,3,2,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>{{1,2,6,7},{3,4,5}}=>[4,3]
[5,1,4,7,3,6,2]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>{{1,2,6,7},{3,4,5}}=>[4,3]
[5,1,4,7,6,2,3]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>{{1,2,6,7},{3,4,5}}=>[4,3]
[5,1,4,7,6,3,2]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>{{1,2,6,7},{3,4,5}}=>[4,3]
[5,1,6,2,3,4,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>{{1,2,3,6},{4,5},{7}}=>[4,2,1]
[5,1,6,2,3,7,4]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>{{1,7},{2,3,6},{4,5}}=>[3,2,2]
[5,1,6,2,4,3,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>{{1,2,3,6},{4,5},{7}}=>[4,2,1]
[5,1,6,2,4,7,3]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>{{1,7},{2,3,6},{4,5}}=>[3,2,2]
[5,1,6,2,7,3,4]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>{{1,2,7},{3,6},{4,5}}=>[3,2,2]
[5,1,6,2,7,4,3]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>{{1,2,7},{3,6},{4,5}}=>[3,2,2]
[5,1,6,3,2,4,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>{{1,2,3,6},{4,5},{7}}=>[4,2,1]
[5,1,6,3,2,7,4]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>{{1,7},{2,3,6},{4,5}}=>[3,2,2]
[5,1,6,3,4,2,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>{{1,2,3,6},{4,5},{7}}=>[4,2,1]
[5,1,6,3,4,7,2]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>{{1,7},{2,3,6},{4,5}}=>[3,2,2]
[5,1,6,3,7,2,4]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>{{1,2,7},{3,6},{4,5}}=>[3,2,2]
[5,1,6,3,7,4,2]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>{{1,2,7},{3,6},{4,5}}=>[3,2,2]
[5,1,6,4,2,3,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>{{1,2,3,6},{4,5},{7}}=>[4,2,1]
[5,1,6,4,2,7,3]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>{{1,7},{2,3,6},{4,5}}=>[3,2,2]
[5,1,6,4,3,2,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>{{1,2,3,6},{4,5},{7}}=>[4,2,1]
[5,1,6,4,3,7,2]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>{{1,7},{2,3,6},{4,5}}=>[3,2,2]
[5,1,6,4,7,2,3]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>{{1,2,7},{3,6},{4,5}}=>[3,2,2]
[5,1,6,4,7,3,2]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>{{1,2,7},{3,6},{4,5}}=>[3,2,2]
[5,1,6,7,2,3,4]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>{{1,2,3,7},{4,5},{6}}=>[4,2,1]
[5,1,6,7,2,4,3]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>{{1,2,3,7},{4,5},{6}}=>[4,2,1]
[5,1,6,7,3,2,4]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>{{1,2,3,7},{4,5},{6}}=>[4,2,1]
[5,1,6,7,3,4,2]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>{{1,2,3,7},{4,5},{6}}=>[4,2,1]
[5,1,6,7,4,2,3]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>{{1,2,3,7},{4,5},{6}}=>[4,2,1]
[5,1,6,7,4,3,2]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>{{1,2,3,7},{4,5},{6}}=>[4,2,1]
[5,1,7,2,3,4,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>{{1,2,3,6,7},{4,5}}=>[5,2]
[5,1,7,2,3,6,4]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>{{1,2,3,6,7},{4,5}}=>[5,2]
[5,1,7,2,4,3,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>{{1,2,3,6,7},{4,5}}=>[5,2]
[5,1,7,2,4,6,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>{{1,2,3,6,7},{4,5}}=>[5,2]
[5,1,7,2,6,3,4]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>{{1,2,3,6,7},{4,5}}=>[5,2]
[5,1,7,2,6,4,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>{{1,2,3,6,7},{4,5}}=>[5,2]
[5,1,7,3,2,4,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>{{1,2,3,6,7},{4,5}}=>[5,2]
[5,1,7,3,2,6,4]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>{{1,2,3,6,7},{4,5}}=>[5,2]
[5,1,7,3,4,2,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>{{1,2,3,6,7},{4,5}}=>[5,2]
[5,1,7,3,4,6,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>{{1,2,3,6,7},{4,5}}=>[5,2]
[5,1,7,3,6,2,4]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>{{1,2,3,6,7},{4,5}}=>[5,2]
[5,1,7,3,6,4,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>{{1,2,3,6,7},{4,5}}=>[5,2]
[5,1,7,4,2,3,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>{{1,2,3,6,7},{4,5}}=>[5,2]
[5,1,7,4,2,6,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>{{1,2,3,6,7},{4,5}}=>[5,2]
[5,1,7,4,3,2,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>{{1,2,3,6,7},{4,5}}=>[5,2]
[5,1,7,4,3,6,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>{{1,2,3,6,7},{4,5}}=>[5,2]
[5,1,7,4,6,2,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>{{1,2,3,6,7},{4,5}}=>[5,2]
[5,1,7,4,6,3,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>{{1,2,3,6,7},{4,5}}=>[5,2]
[5,1,7,6,2,3,4]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>{{1,2,3,6,7},{4,5}}=>[5,2]
[5,1,7,6,2,4,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>{{1,2,3,6,7},{4,5}}=>[5,2]
[5,1,7,6,3,2,4]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>{{1,2,3,6,7},{4,5}}=>[5,2]
[5,1,7,6,3,4,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>{{1,2,3,6,7},{4,5}}=>[5,2]
[5,1,7,6,4,2,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>{{1,2,3,6,7},{4,5}}=>[5,2]
[5,1,7,6,4,3,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>{{1,2,3,6,7},{4,5}}=>[5,2]
[5,2,1,3,4,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>{{1,2,3,4,5},{6},{7}}=>[5,1,1]
[5,2,1,3,4,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>{{1,2,3,4,5},{6,7}}=>[5,2]
[5,2,1,3,6,4,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>{{1,6},{2,3,4,5},{7}}=>[4,2,1]
[5,2,1,3,6,7,4]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>{{1,7},{2,3,4,5},{6}}=>[4,2,1]
[5,2,1,3,7,4,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>{{1,6,7},{2,3,4,5}}=>[4,3]
[5,2,1,3,7,6,4]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>{{1,6,7},{2,3,4,5}}=>[4,3]
[5,2,1,4,3,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>{{1,2,3,4,5},{6},{7}}=>[5,1,1]
[5,2,1,4,3,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>{{1,2,3,4,5},{6,7}}=>[5,2]
[5,2,1,4,6,3,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>{{1,6},{2,3,4,5},{7}}=>[4,2,1]
[5,2,1,4,6,7,3]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>{{1,7},{2,3,4,5},{6}}=>[4,2,1]
[5,2,1,4,7,3,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>{{1,6,7},{2,3,4,5}}=>[4,3]
[5,2,1,4,7,6,3]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>{{1,6,7},{2,3,4,5}}=>[4,3]
[5,2,1,6,3,4,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>{{1,2,6},{3,4,5},{7}}=>[3,3,1]
[5,2,1,6,3,7,4]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>{{1,7},{2,6},{3,4,5}}=>[3,2,2]
[5,2,1,6,4,3,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>{{1,2,6},{3,4,5},{7}}=>[3,3,1]
[5,2,1,6,4,7,3]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>{{1,7},{2,6},{3,4,5}}=>[3,2,2]
[5,2,1,6,7,3,4]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>{{1,2,7},{3,4,5},{6}}=>[3,3,1]
[5,2,1,6,7,4,3]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>{{1,2,7},{3,4,5},{6}}=>[3,3,1]
[5,2,1,7,3,4,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>{{1,2,6,7},{3,4,5}}=>[4,3]
[5,2,1,7,3,6,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>{{1,2,6,7},{3,4,5}}=>[4,3]
[5,2,1,7,4,3,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>{{1,2,6,7},{3,4,5}}=>[4,3]
[5,2,1,7,4,6,3]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>{{1,2,6,7},{3,4,5}}=>[4,3]
[5,2,1,7,6,3,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>{{1,2,6,7},{3,4,5}}=>[4,3]
[5,2,1,7,6,4,3]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>{{1,2,6,7},{3,4,5}}=>[4,3]
[5,2,3,1,4,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>{{1,2,3,4,5},{6},{7}}=>[5,1,1]
[5,2,3,1,4,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>{{1,2,3,4,5},{6,7}}=>[5,2]
[5,2,3,1,6,4,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>{{1,6},{2,3,4,5},{7}}=>[4,2,1]
[5,2,3,1,6,7,4]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>{{1,7},{2,3,4,5},{6}}=>[4,2,1]
[5,2,3,1,7,4,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>{{1,6,7},{2,3,4,5}}=>[4,3]
[5,2,3,1,7,6,4]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>{{1,6,7},{2,3,4,5}}=>[4,3]
[5,2,3,4,1,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>{{1,2,3,4,5},{6},{7}}=>[5,1,1]
[5,2,3,4,1,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>{{1,2,3,4,5},{6,7}}=>[5,2]
[5,2,3,4,6,1,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>{{1,6},{2,3,4,5},{7}}=>[4,2,1]
[5,2,3,4,6,7,1]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>{{1,7},{2,3,4,5},{6}}=>[4,2,1]
[5,2,3,4,7,1,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>{{1,6,7},{2,3,4,5}}=>[4,3]
[5,2,3,4,7,6,1]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>{{1,6,7},{2,3,4,5}}=>[4,3]
[5,2,3,6,1,4,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>{{1,2,6},{3,4,5},{7}}=>[3,3,1]
[5,2,3,6,1,7,4]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>{{1,7},{2,6},{3,4,5}}=>[3,2,2]
[5,2,3,6,4,1,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>{{1,2,6},{3,4,5},{7}}=>[3,3,1]
[5,2,3,6,4,7,1]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>{{1,7},{2,6},{3,4,5}}=>[3,2,2]
[5,2,3,6,7,1,4]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>{{1,2,7},{3,4,5},{6}}=>[3,3,1]
[5,2,3,6,7,4,1]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>{{1,2,7},{3,4,5},{6}}=>[3,3,1]
[5,2,3,7,1,4,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>{{1,2,6,7},{3,4,5}}=>[4,3]
[5,2,3,7,1,6,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>{{1,2,6,7},{3,4,5}}=>[4,3]
[5,2,3,7,4,1,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>{{1,2,6,7},{3,4,5}}=>[4,3]
[5,2,3,7,4,6,1]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>{{1,2,6,7},{3,4,5}}=>[4,3]
[5,2,3,7,6,1,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>{{1,2,6,7},{3,4,5}}=>[4,3]
[5,2,3,7,6,4,1]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>{{1,2,6,7},{3,4,5}}=>[4,3]
[5,2,4,1,3,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>{{1,2,3,4,5},{6},{7}}=>[5,1,1]
[5,2,4,1,3,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>{{1,2,3,4,5},{6,7}}=>[5,2]
[5,2,4,1,6,3,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>{{1,6},{2,3,4,5},{7}}=>[4,2,1]
[5,2,4,1,6,7,3]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>{{1,7},{2,3,4,5},{6}}=>[4,2,1]
[5,2,4,1,7,3,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>{{1,6,7},{2,3,4,5}}=>[4,3]
[5,2,4,1,7,6,3]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>{{1,6,7},{2,3,4,5}}=>[4,3]
[5,2,4,3,1,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>{{1,2,3,4,5},{6},{7}}=>[5,1,1]
[5,2,4,3,1,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>{{1,2,3,4,5},{6,7}}=>[5,2]
[5,2,4,3,6,1,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>{{1,6},{2,3,4,5},{7}}=>[4,2,1]
[5,2,4,3,6,7,1]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>{{1,7},{2,3,4,5},{6}}=>[4,2,1]
[5,2,4,3,7,1,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>{{1,6,7},{2,3,4,5}}=>[4,3]
[5,2,4,3,7,6,1]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>{{1,6,7},{2,3,4,5}}=>[4,3]
[5,2,4,6,1,3,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>{{1,2,6},{3,4,5},{7}}=>[3,3,1]
[5,2,4,6,1,7,3]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>{{1,7},{2,6},{3,4,5}}=>[3,2,2]
[5,2,4,6,3,1,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>{{1,2,6},{3,4,5},{7}}=>[3,3,1]
[5,2,4,6,3,7,1]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>{{1,7},{2,6},{3,4,5}}=>[3,2,2]
[5,2,4,6,7,1,3]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>{{1,2,7},{3,4,5},{6}}=>[3,3,1]
[5,2,4,6,7,3,1]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>{{1,2,7},{3,4,5},{6}}=>[3,3,1]
[5,2,4,7,1,3,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>{{1,2,6,7},{3,4,5}}=>[4,3]
[5,2,4,7,1,6,3]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>{{1,2,6,7},{3,4,5}}=>[4,3]
[5,2,4,7,3,1,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>{{1,2,6,7},{3,4,5}}=>[4,3]
[5,2,4,7,3,6,1]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>{{1,2,6,7},{3,4,5}}=>[4,3]
[5,2,4,7,6,1,3]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>{{1,2,6,7},{3,4,5}}=>[4,3]
[5,2,4,7,6,3,1]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>{{1,2,6,7},{3,4,5}}=>[4,3]
[5,2,6,1,3,4,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>{{1,2,3,6},{4,5},{7}}=>[4,2,1]
[5,2,6,1,3,7,4]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>{{1,7},{2,3,6},{4,5}}=>[3,2,2]
[5,2,6,1,4,3,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>{{1,2,3,6},{4,5},{7}}=>[4,2,1]
[5,2,6,1,4,7,3]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>{{1,7},{2,3,6},{4,5}}=>[3,2,2]
[5,2,6,1,7,3,4]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>{{1,2,7},{3,6},{4,5}}=>[3,2,2]
[5,2,6,1,7,4,3]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>{{1,2,7},{3,6},{4,5}}=>[3,2,2]
[5,2,6,3,1,4,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>{{1,2,3,6},{4,5},{7}}=>[4,2,1]
[5,2,6,3,1,7,4]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>{{1,7},{2,3,6},{4,5}}=>[3,2,2]
[5,2,6,3,4,1,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>{{1,2,3,6},{4,5},{7}}=>[4,2,1]
[5,2,6,3,4,7,1]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>{{1,7},{2,3,6},{4,5}}=>[3,2,2]
[5,2,6,3,7,1,4]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>{{1,2,7},{3,6},{4,5}}=>[3,2,2]
[5,2,6,3,7,4,1]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>{{1,2,7},{3,6},{4,5}}=>[3,2,2]
[5,2,6,4,1,3,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>{{1,2,3,6},{4,5},{7}}=>[4,2,1]
[5,2,6,4,1,7,3]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>{{1,7},{2,3,6},{4,5}}=>[3,2,2]
[5,2,6,4,3,1,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>{{1,2,3,6},{4,5},{7}}=>[4,2,1]
[5,2,6,4,3,7,1]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>{{1,7},{2,3,6},{4,5}}=>[3,2,2]
[5,2,6,4,7,1,3]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>{{1,2,7},{3,6},{4,5}}=>[3,2,2]
[5,2,6,4,7,3,1]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>{{1,2,7},{3,6},{4,5}}=>[3,2,2]
[5,2,6,7,1,3,4]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>{{1,2,3,7},{4,5},{6}}=>[4,2,1]
[5,2,6,7,1,4,3]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>{{1,2,3,7},{4,5},{6}}=>[4,2,1]
[5,2,6,7,3,1,4]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>{{1,2,3,7},{4,5},{6}}=>[4,2,1]
[5,2,6,7,3,4,1]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>{{1,2,3,7},{4,5},{6}}=>[4,2,1]
[5,2,6,7,4,1,3]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>{{1,2,3,7},{4,5},{6}}=>[4,2,1]
[5,2,6,7,4,3,1]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>{{1,2,3,7},{4,5},{6}}=>[4,2,1]
[5,2,7,1,3,4,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>{{1,2,3,6,7},{4,5}}=>[5,2]
[5,2,7,1,3,6,4]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>{{1,2,3,6,7},{4,5}}=>[5,2]
[5,2,7,1,4,3,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>{{1,2,3,6,7},{4,5}}=>[5,2]
[5,2,7,1,4,6,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>{{1,2,3,6,7},{4,5}}=>[5,2]
[5,2,7,1,6,3,4]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>{{1,2,3,6,7},{4,5}}=>[5,2]
[5,2,7,1,6,4,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>{{1,2,3,6,7},{4,5}}=>[5,2]
[5,2,7,3,1,4,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>{{1,2,3,6,7},{4,5}}=>[5,2]
[5,2,7,3,1,6,4]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>{{1,2,3,6,7},{4,5}}=>[5,2]
[5,2,7,3,4,1,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>{{1,2,3,6,7},{4,5}}=>[5,2]
[5,2,7,3,4,6,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>{{1,2,3,6,7},{4,5}}=>[5,2]
[5,2,7,3,6,1,4]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>{{1,2,3,6,7},{4,5}}=>[5,2]
[5,2,7,3,6,4,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>{{1,2,3,6,7},{4,5}}=>[5,2]
[5,2,7,4,1,3,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>{{1,2,3,6,7},{4,5}}=>[5,2]
[5,2,7,4,1,6,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>{{1,2,3,6,7},{4,5}}=>[5,2]
[5,2,7,4,3,1,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>{{1,2,3,6,7},{4,5}}=>[5,2]
[5,2,7,4,3,6,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>{{1,2,3,6,7},{4,5}}=>[5,2]
[5,2,7,4,6,1,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>{{1,2,3,6,7},{4,5}}=>[5,2]
[5,2,7,4,6,3,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>{{1,2,3,6,7},{4,5}}=>[5,2]
[5,2,7,6,1,3,4]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>{{1,2,3,6,7},{4,5}}=>[5,2]
[5,2,7,6,1,4,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>{{1,2,3,6,7},{4,5}}=>[5,2]
[5,2,7,6,3,1,4]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>{{1,2,3,6,7},{4,5}}=>[5,2]
[5,2,7,6,3,4,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>{{1,2,3,6,7},{4,5}}=>[5,2]
[5,2,7,6,4,1,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>{{1,2,3,6,7},{4,5}}=>[5,2]
[5,2,7,6,4,3,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>{{1,2,3,6,7},{4,5}}=>[5,2]
[5,3,1,2,4,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>{{1,2,3,4,5},{6},{7}}=>[5,1,1]
[5,3,1,2,4,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>{{1,2,3,4,5},{6,7}}=>[5,2]
[5,3,1,2,6,4,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>{{1,6},{2,3,4,5},{7}}=>[4,2,1]
[5,3,1,2,6,7,4]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>{{1,7},{2,3,4,5},{6}}=>[4,2,1]
[5,3,1,2,7,4,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>{{1,6,7},{2,3,4,5}}=>[4,3]
[5,3,1,2,7,6,4]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>{{1,6,7},{2,3,4,5}}=>[4,3]
[5,3,1,4,2,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>{{1,2,3,4,5},{6},{7}}=>[5,1,1]
[5,3,1,4,2,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>{{1,2,3,4,5},{6,7}}=>[5,2]
[5,3,1,4,6,2,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>{{1,6},{2,3,4,5},{7}}=>[4,2,1]
[5,3,1,4,6,7,2]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>{{1,7},{2,3,4,5},{6}}=>[4,2,1]
[5,3,1,4,7,2,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>{{1,6,7},{2,3,4,5}}=>[4,3]
[5,3,1,4,7,6,2]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>{{1,6,7},{2,3,4,5}}=>[4,3]
[5,3,1,6,2,4,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>{{1,2,6},{3,4,5},{7}}=>[3,3,1]
[5,3,1,6,2,7,4]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>{{1,7},{2,6},{3,4,5}}=>[3,2,2]
[5,3,1,6,4,2,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>{{1,2,6},{3,4,5},{7}}=>[3,3,1]
[5,3,1,6,4,7,2]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>{{1,7},{2,6},{3,4,5}}=>[3,2,2]
[5,3,1,6,7,2,4]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>{{1,2,7},{3,4,5},{6}}=>[3,3,1]
[5,3,1,6,7,4,2]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>{{1,2,7},{3,4,5},{6}}=>[3,3,1]
[5,3,1,7,2,4,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>{{1,2,6,7},{3,4,5}}=>[4,3]
[5,3,1,7,2,6,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>{{1,2,6,7},{3,4,5}}=>[4,3]
[5,3,1,7,4,2,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>{{1,2,6,7},{3,4,5}}=>[4,3]
[5,3,1,7,4,6,2]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>{{1,2,6,7},{3,4,5}}=>[4,3]
[5,3,1,7,6,2,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>{{1,2,6,7},{3,4,5}}=>[4,3]
[5,3,1,7,6,4,2]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>{{1,2,6,7},{3,4,5}}=>[4,3]
[5,3,2,1,4,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>{{1,2,3,4,5},{6},{7}}=>[5,1,1]
[5,3,2,1,4,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>{{1,2,3,4,5},{6,7}}=>[5,2]
[5,3,2,1,6,4,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>{{1,6},{2,3,4,5},{7}}=>[4,2,1]
[5,3,2,1,6,7,4]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>{{1,7},{2,3,4,5},{6}}=>[4,2,1]
[5,3,2,1,7,4,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>{{1,6,7},{2,3,4,5}}=>[4,3]
[5,3,2,1,7,6,4]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>{{1,6,7},{2,3,4,5}}=>[4,3]
[5,3,2,4,1,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>{{1,2,3,4,5},{6},{7}}=>[5,1,1]
[5,3,2,4,1,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>{{1,2,3,4,5},{6,7}}=>[5,2]
[5,3,2,4,6,1,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>{{1,6},{2,3,4,5},{7}}=>[4,2,1]
[5,3,2,4,6,7,1]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>{{1,7},{2,3,4,5},{6}}=>[4,2,1]
[5,3,2,4,7,1,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>{{1,6,7},{2,3,4,5}}=>[4,3]
[5,3,2,4,7,6,1]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>{{1,6,7},{2,3,4,5}}=>[4,3]
[5,3,2,6,1,4,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>{{1,2,6},{3,4,5},{7}}=>[3,3,1]
[5,3,2,6,1,7,4]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>{{1,7},{2,6},{3,4,5}}=>[3,2,2]
[5,3,2,6,4,1,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>{{1,2,6},{3,4,5},{7}}=>[3,3,1]
[5,3,2,6,4,7,1]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>{{1,7},{2,6},{3,4,5}}=>[3,2,2]
[5,3,2,6,7,1,4]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>{{1,2,7},{3,4,5},{6}}=>[3,3,1]
[5,3,2,6,7,4,1]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>{{1,2,7},{3,4,5},{6}}=>[3,3,1]
[5,3,2,7,1,4,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>{{1,2,6,7},{3,4,5}}=>[4,3]
[5,3,2,7,1,6,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>{{1,2,6,7},{3,4,5}}=>[4,3]
[5,3,2,7,4,1,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>{{1,2,6,7},{3,4,5}}=>[4,3]
[5,3,2,7,4,6,1]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>{{1,2,6,7},{3,4,5}}=>[4,3]
[5,3,2,7,6,1,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>{{1,2,6,7},{3,4,5}}=>[4,3]
[5,3,2,7,6,4,1]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>{{1,2,6,7},{3,4,5}}=>[4,3]
[5,3,4,1,2,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>{{1,2,3,4,5},{6},{7}}=>[5,1,1]
[5,3,4,1,2,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>{{1,2,3,4,5},{6,7}}=>[5,2]
[5,3,4,1,6,2,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>{{1,6},{2,3,4,5},{7}}=>[4,2,1]
[5,3,4,1,6,7,2]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>{{1,7},{2,3,4,5},{6}}=>[4,2,1]
[5,3,4,1,7,2,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>{{1,6,7},{2,3,4,5}}=>[4,3]
[5,3,4,1,7,6,2]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>{{1,6,7},{2,3,4,5}}=>[4,3]
[5,3,4,2,1,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>{{1,2,3,4,5},{6},{7}}=>[5,1,1]
[5,3,4,2,1,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>{{1,2,3,4,5},{6,7}}=>[5,2]
[5,3,4,2,6,1,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>{{1,6},{2,3,4,5},{7}}=>[4,2,1]
[5,3,4,2,6,7,1]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>{{1,7},{2,3,4,5},{6}}=>[4,2,1]
[5,3,4,2,7,1,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>{{1,6,7},{2,3,4,5}}=>[4,3]
[5,3,4,2,7,6,1]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>{{1,6,7},{2,3,4,5}}=>[4,3]
[5,3,4,6,1,2,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>{{1,2,6},{3,4,5},{7}}=>[3,3,1]
[5,3,4,6,1,7,2]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>{{1,7},{2,6},{3,4,5}}=>[3,2,2]
[5,3,4,6,2,1,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>{{1,2,6},{3,4,5},{7}}=>[3,3,1]
[5,3,4,6,2,7,1]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>{{1,7},{2,6},{3,4,5}}=>[3,2,2]
[5,3,4,6,7,1,2]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>{{1,2,7},{3,4,5},{6}}=>[3,3,1]
[5,3,4,6,7,2,1]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>{{1,2,7},{3,4,5},{6}}=>[3,3,1]
[5,3,4,7,1,2,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>{{1,2,6,7},{3,4,5}}=>[4,3]
[5,3,4,7,1,6,2]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>{{1,2,6,7},{3,4,5}}=>[4,3]
[5,3,4,7,2,1,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>{{1,2,6,7},{3,4,5}}=>[4,3]
[5,3,4,7,2,6,1]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>{{1,2,6,7},{3,4,5}}=>[4,3]
[5,3,4,7,6,1,2]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>{{1,2,6,7},{3,4,5}}=>[4,3]
[5,3,4,7,6,2,1]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>{{1,2,6,7},{3,4,5}}=>[4,3]
[5,3,6,1,2,4,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>{{1,2,3,6},{4,5},{7}}=>[4,2,1]
[5,3,6,1,2,7,4]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>{{1,7},{2,3,6},{4,5}}=>[3,2,2]
[5,3,6,1,4,2,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>{{1,2,3,6},{4,5},{7}}=>[4,2,1]
[5,3,6,1,4,7,2]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>{{1,7},{2,3,6},{4,5}}=>[3,2,2]
[5,3,6,1,7,2,4]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>{{1,2,7},{3,6},{4,5}}=>[3,2,2]
[5,3,6,1,7,4,2]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>{{1,2,7},{3,6},{4,5}}=>[3,2,2]
[5,3,6,2,1,4,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>{{1,2,3,6},{4,5},{7}}=>[4,2,1]
[5,3,6,2,1,7,4]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>{{1,7},{2,3,6},{4,5}}=>[3,2,2]
[5,3,6,2,4,1,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>{{1,2,3,6},{4,5},{7}}=>[4,2,1]
[5,3,6,2,4,7,1]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>{{1,7},{2,3,6},{4,5}}=>[3,2,2]
[5,3,6,2,7,1,4]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>{{1,2,7},{3,6},{4,5}}=>[3,2,2]
[5,3,6,2,7,4,1]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>{{1,2,7},{3,6},{4,5}}=>[3,2,2]
[5,3,6,4,1,2,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>{{1,2,3,6},{4,5},{7}}=>[4,2,1]
[5,3,6,4,1,7,2]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>{{1,7},{2,3,6},{4,5}}=>[3,2,2]
[5,3,6,4,2,1,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>{{1,2,3,6},{4,5},{7}}=>[4,2,1]
[5,3,6,4,2,7,1]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>{{1,7},{2,3,6},{4,5}}=>[3,2,2]
[5,3,6,4,7,1,2]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>{{1,2,7},{3,6},{4,5}}=>[3,2,2]
[5,3,6,4,7,2,1]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>{{1,2,7},{3,6},{4,5}}=>[3,2,2]
[5,3,6,7,1,2,4]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>{{1,2,3,7},{4,5},{6}}=>[4,2,1]
[5,3,6,7,1,4,2]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>{{1,2,3,7},{4,5},{6}}=>[4,2,1]
[5,3,6,7,2,1,4]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>{{1,2,3,7},{4,5},{6}}=>[4,2,1]
[5,3,6,7,2,4,1]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>{{1,2,3,7},{4,5},{6}}=>[4,2,1]
[5,3,6,7,4,1,2]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>{{1,2,3,7},{4,5},{6}}=>[4,2,1]
[5,3,6,7,4,2,1]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>{{1,2,3,7},{4,5},{6}}=>[4,2,1]
[5,3,7,1,2,4,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>{{1,2,3,6,7},{4,5}}=>[5,2]
[5,3,7,1,2,6,4]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>{{1,2,3,6,7},{4,5}}=>[5,2]
[5,3,7,1,4,2,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>{{1,2,3,6,7},{4,5}}=>[5,2]
[5,3,7,1,4,6,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>{{1,2,3,6,7},{4,5}}=>[5,2]
[5,3,7,1,6,2,4]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>{{1,2,3,6,7},{4,5}}=>[5,2]
[5,3,7,1,6,4,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>{{1,2,3,6,7},{4,5}}=>[5,2]
[5,3,7,2,1,4,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>{{1,2,3,6,7},{4,5}}=>[5,2]
[5,3,7,2,1,6,4]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>{{1,2,3,6,7},{4,5}}=>[5,2]
[5,3,7,2,4,1,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>{{1,2,3,6,7},{4,5}}=>[5,2]
[5,3,7,2,4,6,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>{{1,2,3,6,7},{4,5}}=>[5,2]
[5,3,7,2,6,1,4]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>{{1,2,3,6,7},{4,5}}=>[5,2]
[5,3,7,2,6,4,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>{{1,2,3,6,7},{4,5}}=>[5,2]
[5,3,7,4,1,2,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>{{1,2,3,6,7},{4,5}}=>[5,2]
[5,3,7,4,1,6,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>{{1,2,3,6,7},{4,5}}=>[5,2]
[5,3,7,4,2,1,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>{{1,2,3,6,7},{4,5}}=>[5,2]
[5,3,7,4,2,6,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>{{1,2,3,6,7},{4,5}}=>[5,2]
[5,3,7,4,6,1,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>{{1,2,3,6,7},{4,5}}=>[5,2]
[5,3,7,4,6,2,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>{{1,2,3,6,7},{4,5}}=>[5,2]
[5,3,7,6,1,2,4]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>{{1,2,3,6,7},{4,5}}=>[5,2]
[5,3,7,6,1,4,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>{{1,2,3,6,7},{4,5}}=>[5,2]
[5,3,7,6,2,1,4]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>{{1,2,3,6,7},{4,5}}=>[5,2]
[5,3,7,6,2,4,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>{{1,2,3,6,7},{4,5}}=>[5,2]
[5,3,7,6,4,1,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>{{1,2,3,6,7},{4,5}}=>[5,2]
[5,3,7,6,4,2,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>{{1,2,3,6,7},{4,5}}=>[5,2]
[5,4,1,2,3,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>{{1,2,3,4,5},{6},{7}}=>[5,1,1]
[5,4,1,2,3,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>{{1,2,3,4,5},{6,7}}=>[5,2]
[5,4,1,2,6,3,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>{{1,6},{2,3,4,5},{7}}=>[4,2,1]
[5,4,1,2,6,7,3]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>{{1,7},{2,3,4,5},{6}}=>[4,2,1]
[5,4,1,2,7,3,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>{{1,6,7},{2,3,4,5}}=>[4,3]
[5,4,1,2,7,6,3]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>{{1,6,7},{2,3,4,5}}=>[4,3]
[5,4,1,3,2,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>{{1,2,3,4,5},{6},{7}}=>[5,1,1]
[5,4,1,3,2,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>{{1,2,3,4,5},{6,7}}=>[5,2]
[5,4,1,3,6,2,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>{{1,6},{2,3,4,5},{7}}=>[4,2,1]
[5,4,1,3,6,7,2]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>{{1,7},{2,3,4,5},{6}}=>[4,2,1]
[5,4,1,3,7,2,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>{{1,6,7},{2,3,4,5}}=>[4,3]
[5,4,1,3,7,6,2]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>{{1,6,7},{2,3,4,5}}=>[4,3]
[5,4,1,6,2,3,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>{{1,2,6},{3,4,5},{7}}=>[3,3,1]
[5,4,1,6,2,7,3]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>{{1,7},{2,6},{3,4,5}}=>[3,2,2]
[5,4,1,6,3,2,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>{{1,2,6},{3,4,5},{7}}=>[3,3,1]
[5,4,1,6,3,7,2]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>{{1,7},{2,6},{3,4,5}}=>[3,2,2]
[5,4,1,6,7,2,3]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>{{1,2,7},{3,4,5},{6}}=>[3,3,1]
[5,4,1,6,7,3,2]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>{{1,2,7},{3,4,5},{6}}=>[3,3,1]
[5,4,1,7,2,3,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>{{1,2,6,7},{3,4,5}}=>[4,3]
[5,4,1,7,2,6,3]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>{{1,2,6,7},{3,4,5}}=>[4,3]
[5,4,1,7,3,2,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>{{1,2,6,7},{3,4,5}}=>[4,3]
[5,4,1,7,3,6,2]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>{{1,2,6,7},{3,4,5}}=>[4,3]
[5,4,1,7,6,2,3]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>{{1,2,6,7},{3,4,5}}=>[4,3]
[5,4,1,7,6,3,2]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>{{1,2,6,7},{3,4,5}}=>[4,3]
[5,4,2,1,3,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>{{1,2,3,4,5},{6},{7}}=>[5,1,1]
[5,4,2,1,3,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>{{1,2,3,4,5},{6,7}}=>[5,2]
[5,4,2,1,6,3,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>{{1,6},{2,3,4,5},{7}}=>[4,2,1]
[5,4,2,1,6,7,3]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>{{1,7},{2,3,4,5},{6}}=>[4,2,1]
[5,4,2,1,7,3,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>{{1,6,7},{2,3,4,5}}=>[4,3]
[5,4,2,1,7,6,3]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>{{1,6,7},{2,3,4,5}}=>[4,3]
[5,4,2,3,1,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>{{1,2,3,4,5},{6},{7}}=>[5,1,1]
[5,4,2,3,1,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>{{1,2,3,4,5},{6,7}}=>[5,2]
[5,4,2,3,6,1,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>{{1,6},{2,3,4,5},{7}}=>[4,2,1]
[5,4,2,3,6,7,1]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>{{1,7},{2,3,4,5},{6}}=>[4,2,1]
[5,4,2,3,7,1,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>{{1,6,7},{2,3,4,5}}=>[4,3]
[5,4,2,3,7,6,1]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>{{1,6,7},{2,3,4,5}}=>[4,3]
[5,4,2,6,1,3,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>{{1,2,6},{3,4,5},{7}}=>[3,3,1]
[5,4,2,6,1,7,3]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>{{1,7},{2,6},{3,4,5}}=>[3,2,2]
[5,4,2,6,3,1,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>{{1,2,6},{3,4,5},{7}}=>[3,3,1]
[5,4,2,6,3,7,1]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>{{1,7},{2,6},{3,4,5}}=>[3,2,2]
[5,4,2,6,7,1,3]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>{{1,2,7},{3,4,5},{6}}=>[3,3,1]
[5,4,2,6,7,3,1]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>{{1,2,7},{3,4,5},{6}}=>[3,3,1]
[5,4,2,7,1,3,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>{{1,2,6,7},{3,4,5}}=>[4,3]
[5,4,2,7,1,6,3]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>{{1,2,6,7},{3,4,5}}=>[4,3]
[5,4,2,7,3,1,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>{{1,2,6,7},{3,4,5}}=>[4,3]
[5,4,2,7,3,6,1]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>{{1,2,6,7},{3,4,5}}=>[4,3]
[5,4,2,7,6,1,3]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>{{1,2,6,7},{3,4,5}}=>[4,3]
[5,4,2,7,6,3,1]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>{{1,2,6,7},{3,4,5}}=>[4,3]
[5,4,3,1,2,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>{{1,2,3,4,5},{6},{7}}=>[5,1,1]
[5,4,3,1,2,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>{{1,2,3,4,5},{6,7}}=>[5,2]
[5,4,3,1,6,2,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>{{1,6},{2,3,4,5},{7}}=>[4,2,1]
[5,4,3,1,6,7,2]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>{{1,7},{2,3,4,5},{6}}=>[4,2,1]
[5,4,3,1,7,2,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>{{1,6,7},{2,3,4,5}}=>[4,3]
[5,4,3,1,7,6,2]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>{{1,6,7},{2,3,4,5}}=>[4,3]
[5,4,3,2,1,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>{{1,2,3,4,5},{6},{7}}=>[5,1,1]
[5,4,3,2,1,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>{{1,2,3,4,5},{6,7}}=>[5,2]
[5,4,3,2,6,1,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>{{1,6},{2,3,4,5},{7}}=>[4,2,1]
[5,4,3,2,6,7,1]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>{{1,7},{2,3,4,5},{6}}=>[4,2,1]
[5,4,3,2,7,1,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>{{1,6,7},{2,3,4,5}}=>[4,3]
[5,4,3,2,7,6,1]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>{{1,6,7},{2,3,4,5}}=>[4,3]
[5,4,3,6,1,2,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>{{1,2,6},{3,4,5},{7}}=>[3,3,1]
[5,4,3,6,1,7,2]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>{{1,7},{2,6},{3,4,5}}=>[3,2,2]
[5,4,3,6,2,1,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>{{1,2,6},{3,4,5},{7}}=>[3,3,1]
[5,4,3,6,2,7,1]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>{{1,7},{2,6},{3,4,5}}=>[3,2,2]
[5,4,3,6,7,1,2]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>{{1,2,7},{3,4,5},{6}}=>[3,3,1]
[5,4,3,6,7,2,1]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>{{1,2,7},{3,4,5},{6}}=>[3,3,1]
[5,4,3,7,1,2,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>{{1,2,6,7},{3,4,5}}=>[4,3]
[5,4,3,7,1,6,2]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>{{1,2,6,7},{3,4,5}}=>[4,3]
[5,4,3,7,2,1,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>{{1,2,6,7},{3,4,5}}=>[4,3]
[5,4,3,7,2,6,1]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>{{1,2,6,7},{3,4,5}}=>[4,3]
[5,4,3,7,6,1,2]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>{{1,2,6,7},{3,4,5}}=>[4,3]
[5,4,3,7,6,2,1]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>{{1,2,6,7},{3,4,5}}=>[4,3]
[5,4,6,1,2,3,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>{{1,2,3,6},{4,5},{7}}=>[4,2,1]
[5,4,6,1,2,7,3]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>{{1,7},{2,3,6},{4,5}}=>[3,2,2]
[5,4,6,1,3,2,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>{{1,2,3,6},{4,5},{7}}=>[4,2,1]
[5,4,6,1,3,7,2]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>{{1,7},{2,3,6},{4,5}}=>[3,2,2]
[5,4,6,1,7,2,3]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>{{1,2,7},{3,6},{4,5}}=>[3,2,2]
[5,4,6,1,7,3,2]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>{{1,2,7},{3,6},{4,5}}=>[3,2,2]
[5,4,6,2,1,3,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>{{1,2,3,6},{4,5},{7}}=>[4,2,1]
[5,4,6,2,1,7,3]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>{{1,7},{2,3,6},{4,5}}=>[3,2,2]
[5,4,6,2,3,1,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>{{1,2,3,6},{4,5},{7}}=>[4,2,1]
[5,4,6,2,3,7,1]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>{{1,7},{2,3,6},{4,5}}=>[3,2,2]
[5,4,6,2,7,1,3]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>{{1,2,7},{3,6},{4,5}}=>[3,2,2]
[5,4,6,2,7,3,1]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>{{1,2,7},{3,6},{4,5}}=>[3,2,2]
[5,4,6,3,1,2,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>{{1,2,3,6},{4,5},{7}}=>[4,2,1]
[5,4,6,3,1,7,2]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>{{1,7},{2,3,6},{4,5}}=>[3,2,2]
[5,4,6,3,2,1,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>{{1,2,3,6},{4,5},{7}}=>[4,2,1]
[5,4,6,3,2,7,1]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>{{1,7},{2,3,6},{4,5}}=>[3,2,2]
[5,4,6,3,7,1,2]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>{{1,2,7},{3,6},{4,5}}=>[3,2,2]
[5,4,6,3,7,2,1]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>{{1,2,7},{3,6},{4,5}}=>[3,2,2]
[5,4,6,7,1,2,3]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>{{1,2,3,7},{4,5},{6}}=>[4,2,1]
[5,4,6,7,1,3,2]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>{{1,2,3,7},{4,5},{6}}=>[4,2,1]
[5,4,6,7,2,1,3]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>{{1,2,3,7},{4,5},{6}}=>[4,2,1]
[5,4,6,7,2,3,1]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>{{1,2,3,7},{4,5},{6}}=>[4,2,1]
[5,4,6,7,3,1,2]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>{{1,2,3,7},{4,5},{6}}=>[4,2,1]
[5,4,6,7,3,2,1]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>{{1,2,3,7},{4,5},{6}}=>[4,2,1]
[5,4,7,1,2,3,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>{{1,2,3,6,7},{4,5}}=>[5,2]
[5,4,7,1,2,6,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>{{1,2,3,6,7},{4,5}}=>[5,2]
[5,4,7,1,3,2,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>{{1,2,3,6,7},{4,5}}=>[5,2]
[5,4,7,1,3,6,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>{{1,2,3,6,7},{4,5}}=>[5,2]
[5,4,7,1,6,2,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>{{1,2,3,6,7},{4,5}}=>[5,2]
[5,4,7,1,6,3,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>{{1,2,3,6,7},{4,5}}=>[5,2]
[5,4,7,2,1,3,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>{{1,2,3,6,7},{4,5}}=>[5,2]
[5,4,7,2,1,6,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>{{1,2,3,6,7},{4,5}}=>[5,2]
[5,4,7,2,3,1,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>{{1,2,3,6,7},{4,5}}=>[5,2]
[5,4,7,2,3,6,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>{{1,2,3,6,7},{4,5}}=>[5,2]
[5,4,7,2,6,1,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>{{1,2,3,6,7},{4,5}}=>[5,2]
[5,4,7,2,6,3,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>{{1,2,3,6,7},{4,5}}=>[5,2]
[5,4,7,3,1,2,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>{{1,2,3,6,7},{4,5}}=>[5,2]
[5,4,7,3,1,6,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>{{1,2,3,6,7},{4,5}}=>[5,2]
[5,4,7,3,2,1,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>{{1,2,3,6,7},{4,5}}=>[5,2]
[5,4,7,3,2,6,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>{{1,2,3,6,7},{4,5}}=>[5,2]
[5,4,7,3,6,1,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>{{1,2,3,6,7},{4,5}}=>[5,2]
[5,4,7,3,6,2,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>{{1,2,3,6,7},{4,5}}=>[5,2]
[5,4,7,6,1,2,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>{{1,2,3,6,7},{4,5}}=>[5,2]
[5,4,7,6,1,3,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>{{1,2,3,6,7},{4,5}}=>[5,2]
[5,4,7,6,2,1,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>{{1,2,3,6,7},{4,5}}=>[5,2]
[5,4,7,6,2,3,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>{{1,2,3,6,7},{4,5}}=>[5,2]
[5,4,7,6,3,1,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>{{1,2,3,6,7},{4,5}}=>[5,2]
[5,4,7,6,3,2,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>{{1,2,3,6,7},{4,5}}=>[5,2]
[5,6,1,2,3,4,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>{{1,2,3,4,6},{5},{7}}=>[5,1,1]
[5,6,1,2,3,7,4]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,6},{5}}=>[4,2,1]
[5,6,1,2,4,3,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>{{1,2,3,4,6},{5},{7}}=>[5,1,1]
[5,6,1,2,4,7,3]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,6},{5}}=>[4,2,1]
[5,6,1,2,7,3,4]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,6},{5}}=>[3,3,1]
[5,6,1,2,7,4,3]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,6},{5}}=>[3,3,1]
[5,6,1,3,2,4,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>{{1,2,3,4,6},{5},{7}}=>[5,1,1]
[5,6,1,3,2,7,4]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,6},{5}}=>[4,2,1]
[5,6,1,3,4,2,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>{{1,2,3,4,6},{5},{7}}=>[5,1,1]
[5,6,1,3,4,7,2]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,6},{5}}=>[4,2,1]
[5,6,1,3,7,2,4]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,6},{5}}=>[3,3,1]
[5,6,1,3,7,4,2]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,6},{5}}=>[3,3,1]
[5,6,1,4,2,3,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>{{1,2,3,4,6},{5},{7}}=>[5,1,1]
[5,6,1,4,2,7,3]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,6},{5}}=>[4,2,1]
[5,6,1,4,3,2,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>{{1,2,3,4,6},{5},{7}}=>[5,1,1]
[5,6,1,4,3,7,2]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,6},{5}}=>[4,2,1]
[5,6,1,4,7,2,3]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,6},{5}}=>[3,3,1]
[5,6,1,4,7,3,2]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,6},{5}}=>[3,3,1]
[5,6,1,7,2,3,4]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,6},{5}}=>[4,2,1]
[5,6,1,7,2,4,3]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,6},{5}}=>[4,2,1]
[5,6,1,7,3,2,4]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,6},{5}}=>[4,2,1]
[5,6,1,7,3,4,2]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,6},{5}}=>[4,2,1]
[5,6,1,7,4,2,3]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,6},{5}}=>[4,2,1]
[5,6,1,7,4,3,2]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,6},{5}}=>[4,2,1]
[5,6,2,1,3,4,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>{{1,2,3,4,6},{5},{7}}=>[5,1,1]
[5,6,2,1,3,7,4]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,6},{5}}=>[4,2,1]
[5,6,2,1,4,3,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>{{1,2,3,4,6},{5},{7}}=>[5,1,1]
[5,6,2,1,4,7,3]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,6},{5}}=>[4,2,1]
[5,6,2,1,7,3,4]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,6},{5}}=>[3,3,1]
[5,6,2,1,7,4,3]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,6},{5}}=>[3,3,1]
[5,6,2,3,1,4,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>{{1,2,3,4,6},{5},{7}}=>[5,1,1]
[5,6,2,3,1,7,4]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,6},{5}}=>[4,2,1]
[5,6,2,3,4,1,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>{{1,2,3,4,6},{5},{7}}=>[5,1,1]
[5,6,2,3,4,7,1]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,6},{5}}=>[4,2,1]
[5,6,2,3,7,1,4]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,6},{5}}=>[3,3,1]
[5,6,2,3,7,4,1]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,6},{5}}=>[3,3,1]
[5,6,2,4,1,3,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>{{1,2,3,4,6},{5},{7}}=>[5,1,1]
[5,6,2,4,1,7,3]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,6},{5}}=>[4,2,1]
[5,6,2,4,3,1,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>{{1,2,3,4,6},{5},{7}}=>[5,1,1]
[5,6,2,4,3,7,1]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,6},{5}}=>[4,2,1]
[5,6,2,4,7,1,3]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,6},{5}}=>[3,3,1]
[5,6,2,4,7,3,1]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,6},{5}}=>[3,3,1]
[5,6,2,7,1,3,4]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,6},{5}}=>[4,2,1]
[5,6,2,7,1,4,3]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,6},{5}}=>[4,2,1]
[5,6,2,7,3,1,4]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,6},{5}}=>[4,2,1]
[5,6,2,7,3,4,1]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,6},{5}}=>[4,2,1]
[5,6,2,7,4,1,3]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,6},{5}}=>[4,2,1]
[5,6,2,7,4,3,1]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,6},{5}}=>[4,2,1]
[5,6,3,1,2,4,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>{{1,2,3,4,6},{5},{7}}=>[5,1,1]
[5,6,3,1,2,7,4]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,6},{5}}=>[4,2,1]
[5,6,3,1,4,2,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>{{1,2,3,4,6},{5},{7}}=>[5,1,1]
[5,6,3,1,4,7,2]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,6},{5}}=>[4,2,1]
[5,6,3,1,7,2,4]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,6},{5}}=>[3,3,1]
[5,6,3,1,7,4,2]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,6},{5}}=>[3,3,1]
[5,6,3,2,1,4,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>{{1,2,3,4,6},{5},{7}}=>[5,1,1]
[5,6,3,2,1,7,4]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,6},{5}}=>[4,2,1]
[5,6,3,2,4,1,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>{{1,2,3,4,6},{5},{7}}=>[5,1,1]
[5,6,3,2,4,7,1]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,6},{5}}=>[4,2,1]
[5,6,3,2,7,1,4]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,6},{5}}=>[3,3,1]
[5,6,3,2,7,4,1]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,6},{5}}=>[3,3,1]
[5,6,3,4,1,2,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>{{1,2,3,4,6},{5},{7}}=>[5,1,1]
[5,6,3,4,1,7,2]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,6},{5}}=>[4,2,1]
[5,6,3,4,2,1,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>{{1,2,3,4,6},{5},{7}}=>[5,1,1]
[5,6,3,4,2,7,1]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,6},{5}}=>[4,2,1]
[5,6,3,4,7,1,2]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,6},{5}}=>[3,3,1]
[5,6,3,4,7,2,1]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,6},{5}}=>[3,3,1]
[5,6,3,7,1,2,4]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,6},{5}}=>[4,2,1]
[5,6,3,7,1,4,2]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,6},{5}}=>[4,2,1]
[5,6,3,7,2,1,4]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,6},{5}}=>[4,2,1]
[5,6,3,7,2,4,1]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,6},{5}}=>[4,2,1]
[5,6,3,7,4,1,2]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,6},{5}}=>[4,2,1]
[5,6,3,7,4,2,1]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,6},{5}}=>[4,2,1]
[5,6,4,1,2,3,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>{{1,2,3,4,6},{5},{7}}=>[5,1,1]
[5,6,4,1,2,7,3]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,6},{5}}=>[4,2,1]
[5,6,4,1,3,2,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>{{1,2,3,4,6},{5},{7}}=>[5,1,1]
[5,6,4,1,3,7,2]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,6},{5}}=>[4,2,1]
[5,6,4,1,7,2,3]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,6},{5}}=>[3,3,1]
[5,6,4,1,7,3,2]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,6},{5}}=>[3,3,1]
[5,6,4,2,1,3,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>{{1,2,3,4,6},{5},{7}}=>[5,1,1]
[5,6,4,2,1,7,3]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,6},{5}}=>[4,2,1]
[5,6,4,2,3,1,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>{{1,2,3,4,6},{5},{7}}=>[5,1,1]
[5,6,4,2,3,7,1]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,6},{5}}=>[4,2,1]
[5,6,4,2,7,1,3]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,6},{5}}=>[3,3,1]
[5,6,4,2,7,3,1]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,6},{5}}=>[3,3,1]
[5,6,4,3,1,2,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>{{1,2,3,4,6},{5},{7}}=>[5,1,1]
[5,6,4,3,1,7,2]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,6},{5}}=>[4,2,1]
[5,6,4,3,2,1,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>{{1,2,3,4,6},{5},{7}}=>[5,1,1]
[5,6,4,3,2,7,1]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,6},{5}}=>[4,2,1]
[5,6,4,3,7,1,2]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,6},{5}}=>[3,3,1]
[5,6,4,3,7,2,1]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,6},{5}}=>[3,3,1]
[5,6,4,7,1,2,3]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,6},{5}}=>[4,2,1]
[5,6,4,7,1,3,2]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,6},{5}}=>[4,2,1]
[5,6,4,7,2,1,3]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,6},{5}}=>[4,2,1]
[5,6,4,7,2,3,1]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,6},{5}}=>[4,2,1]
[5,6,4,7,3,1,2]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,6},{5}}=>[4,2,1]
[5,6,4,7,3,2,1]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,6},{5}}=>[4,2,1]
[5,6,7,1,2,3,4]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5},{6}}=>[5,1,1]
[5,6,7,1,2,4,3]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5},{6}}=>[5,1,1]
[5,6,7,1,3,2,4]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5},{6}}=>[5,1,1]
[5,6,7,1,3,4,2]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5},{6}}=>[5,1,1]
[5,6,7,1,4,2,3]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5},{6}}=>[5,1,1]
[5,6,7,1,4,3,2]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5},{6}}=>[5,1,1]
[5,6,7,2,1,3,4]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5},{6}}=>[5,1,1]
[5,6,7,2,1,4,3]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5},{6}}=>[5,1,1]
[5,6,7,2,3,1,4]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5},{6}}=>[5,1,1]
[5,6,7,2,3,4,1]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5},{6}}=>[5,1,1]
[5,6,7,2,4,1,3]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5},{6}}=>[5,1,1]
[5,6,7,2,4,3,1]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5},{6}}=>[5,1,1]
[5,6,7,3,1,2,4]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5},{6}}=>[5,1,1]
[5,6,7,3,1,4,2]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5},{6}}=>[5,1,1]
[5,6,7,3,2,1,4]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5},{6}}=>[5,1,1]
[5,6,7,3,2,4,1]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5},{6}}=>[5,1,1]
[5,6,7,3,4,1,2]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5},{6}}=>[5,1,1]
[5,6,7,3,4,2,1]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5},{6}}=>[5,1,1]
[5,6,7,4,1,2,3]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5},{6}}=>[5,1,1]
[5,6,7,4,1,3,2]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5},{6}}=>[5,1,1]
[5,6,7,4,2,1,3]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5},{6}}=>[5,1,1]
[5,6,7,4,2,3,1]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5},{6}}=>[5,1,1]
[5,6,7,4,3,1,2]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5},{6}}=>[5,1,1]
[5,6,7,4,3,2,1]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5},{6}}=>[5,1,1]
[5,7,1,2,3,4,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>{{1,2,3,4,6,7},{5}}=>[6,1]
[5,7,1,2,3,6,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>{{1,2,3,4,6,7},{5}}=>[6,1]
[5,7,1,2,4,3,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>{{1,2,3,4,6,7},{5}}=>[6,1]
[5,7,1,2,4,6,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>{{1,2,3,4,6,7},{5}}=>[6,1]
[5,7,1,2,6,3,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>{{1,2,3,4,6,7},{5}}=>[6,1]
[5,7,1,2,6,4,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>{{1,2,3,4,6,7},{5}}=>[6,1]
[5,7,1,3,2,4,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>{{1,2,3,4,6,7},{5}}=>[6,1]
[5,7,1,3,2,6,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>{{1,2,3,4,6,7},{5}}=>[6,1]
[5,7,1,3,4,2,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>{{1,2,3,4,6,7},{5}}=>[6,1]
[5,7,1,3,4,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>{{1,2,3,4,6,7},{5}}=>[6,1]
[5,7,1,3,6,2,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>{{1,2,3,4,6,7},{5}}=>[6,1]
[5,7,1,3,6,4,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>{{1,2,3,4,6,7},{5}}=>[6,1]
[5,7,1,4,2,3,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>{{1,2,3,4,6,7},{5}}=>[6,1]
[5,7,1,4,2,6,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>{{1,2,3,4,6,7},{5}}=>[6,1]
[5,7,1,4,3,2,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>{{1,2,3,4,6,7},{5}}=>[6,1]
[5,7,1,4,3,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>{{1,2,3,4,6,7},{5}}=>[6,1]
[5,7,1,4,6,2,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>{{1,2,3,4,6,7},{5}}=>[6,1]
[5,7,1,4,6,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>{{1,2,3,4,6,7},{5}}=>[6,1]
[5,7,1,6,2,3,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>{{1,2,3,4,6,7},{5}}=>[6,1]
[5,7,1,6,2,4,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>{{1,2,3,4,6,7},{5}}=>[6,1]
[5,7,1,6,3,2,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>{{1,2,3,4,6,7},{5}}=>[6,1]
[5,7,1,6,3,4,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>{{1,2,3,4,6,7},{5}}=>[6,1]
[5,7,1,6,4,2,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>{{1,2,3,4,6,7},{5}}=>[6,1]
[5,7,1,6,4,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>{{1,2,3,4,6,7},{5}}=>[6,1]
[5,7,2,1,3,4,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>{{1,2,3,4,6,7},{5}}=>[6,1]
[5,7,2,1,3,6,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>{{1,2,3,4,6,7},{5}}=>[6,1]
[5,7,2,1,4,3,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>{{1,2,3,4,6,7},{5}}=>[6,1]
[5,7,2,1,4,6,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>{{1,2,3,4,6,7},{5}}=>[6,1]
[5,7,2,1,6,3,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>{{1,2,3,4,6,7},{5}}=>[6,1]
[5,7,2,1,6,4,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>{{1,2,3,4,6,7},{5}}=>[6,1]
[5,7,2,3,1,4,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>{{1,2,3,4,6,7},{5}}=>[6,1]
[5,7,2,3,1,6,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>{{1,2,3,4,6,7},{5}}=>[6,1]
[5,7,2,3,4,1,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>{{1,2,3,4,6,7},{5}}=>[6,1]
[5,7,2,3,4,6,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>{{1,2,3,4,6,7},{5}}=>[6,1]
[5,7,2,3,6,1,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>{{1,2,3,4,6,7},{5}}=>[6,1]
[5,7,2,3,6,4,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>{{1,2,3,4,6,7},{5}}=>[6,1]
[5,7,2,4,1,3,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>{{1,2,3,4,6,7},{5}}=>[6,1]
[5,7,2,4,1,6,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>{{1,2,3,4,6,7},{5}}=>[6,1]
[5,7,2,4,3,1,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>{{1,2,3,4,6,7},{5}}=>[6,1]
[5,7,2,4,3,6,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>{{1,2,3,4,6,7},{5}}=>[6,1]
[5,7,2,4,6,1,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>{{1,2,3,4,6,7},{5}}=>[6,1]
[5,7,2,4,6,3,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>{{1,2,3,4,6,7},{5}}=>[6,1]
[5,7,2,6,1,3,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>{{1,2,3,4,6,7},{5}}=>[6,1]
[5,7,2,6,1,4,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>{{1,2,3,4,6,7},{5}}=>[6,1]
[5,7,2,6,3,1,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>{{1,2,3,4,6,7},{5}}=>[6,1]
[5,7,2,6,3,4,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>{{1,2,3,4,6,7},{5}}=>[6,1]
[5,7,2,6,4,1,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>{{1,2,3,4,6,7},{5}}=>[6,1]
[5,7,2,6,4,3,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>{{1,2,3,4,6,7},{5}}=>[6,1]
[5,7,3,1,2,4,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>{{1,2,3,4,6,7},{5}}=>[6,1]
[5,7,3,1,2,6,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>{{1,2,3,4,6,7},{5}}=>[6,1]
[5,7,3,1,4,2,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>{{1,2,3,4,6,7},{5}}=>[6,1]
[5,7,3,1,4,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>{{1,2,3,4,6,7},{5}}=>[6,1]
[5,7,3,1,6,2,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>{{1,2,3,4,6,7},{5}}=>[6,1]
[5,7,3,1,6,4,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>{{1,2,3,4,6,7},{5}}=>[6,1]
[5,7,3,2,1,4,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>{{1,2,3,4,6,7},{5}}=>[6,1]
[5,7,3,2,1,6,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>{{1,2,3,4,6,7},{5}}=>[6,1]
[5,7,3,2,4,1,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>{{1,2,3,4,6,7},{5}}=>[6,1]
[5,7,3,2,4,6,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>{{1,2,3,4,6,7},{5}}=>[6,1]
[5,7,3,2,6,1,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>{{1,2,3,4,6,7},{5}}=>[6,1]
[5,7,3,2,6,4,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>{{1,2,3,4,6,7},{5}}=>[6,1]
[5,7,3,4,1,2,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>{{1,2,3,4,6,7},{5}}=>[6,1]
[5,7,3,4,1,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>{{1,2,3,4,6,7},{5}}=>[6,1]
[5,7,3,4,2,1,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>{{1,2,3,4,6,7},{5}}=>[6,1]
[5,7,3,4,2,6,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>{{1,2,3,4,6,7},{5}}=>[6,1]
[5,7,3,4,6,1,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>{{1,2,3,4,6,7},{5}}=>[6,1]
[5,7,3,4,6,2,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>{{1,2,3,4,6,7},{5}}=>[6,1]
[5,7,3,6,1,2,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>{{1,2,3,4,6,7},{5}}=>[6,1]
[5,7,3,6,1,4,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>{{1,2,3,4,6,7},{5}}=>[6,1]
[5,7,3,6,2,1,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>{{1,2,3,4,6,7},{5}}=>[6,1]
[5,7,3,6,2,4,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>{{1,2,3,4,6,7},{5}}=>[6,1]
[5,7,3,6,4,1,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>{{1,2,3,4,6,7},{5}}=>[6,1]
[5,7,3,6,4,2,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>{{1,2,3,4,6,7},{5}}=>[6,1]
[5,7,4,1,2,3,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>{{1,2,3,4,6,7},{5}}=>[6,1]
[5,7,4,1,2,6,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>{{1,2,3,4,6,7},{5}}=>[6,1]
[5,7,4,1,3,2,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>{{1,2,3,4,6,7},{5}}=>[6,1]
[5,7,4,1,3,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>{{1,2,3,4,6,7},{5}}=>[6,1]
[5,7,4,1,6,2,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>{{1,2,3,4,6,7},{5}}=>[6,1]
[5,7,4,1,6,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>{{1,2,3,4,6,7},{5}}=>[6,1]
[5,7,4,2,1,3,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>{{1,2,3,4,6,7},{5}}=>[6,1]
[5,7,4,2,1,6,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>{{1,2,3,4,6,7},{5}}=>[6,1]
[5,7,4,2,3,1,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>{{1,2,3,4,6,7},{5}}=>[6,1]
[5,7,4,2,3,6,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>{{1,2,3,4,6,7},{5}}=>[6,1]
[5,7,4,2,6,1,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>{{1,2,3,4,6,7},{5}}=>[6,1]
[5,7,4,2,6,3,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>{{1,2,3,4,6,7},{5}}=>[6,1]
[5,7,4,3,1,2,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>{{1,2,3,4,6,7},{5}}=>[6,1]
[5,7,4,3,1,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>{{1,2,3,4,6,7},{5}}=>[6,1]
[5,7,4,3,2,1,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>{{1,2,3,4,6,7},{5}}=>[6,1]
[5,7,4,3,2,6,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>{{1,2,3,4,6,7},{5}}=>[6,1]
[5,7,4,3,6,1,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>{{1,2,3,4,6,7},{5}}=>[6,1]
[5,7,4,3,6,2,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>{{1,2,3,4,6,7},{5}}=>[6,1]
[5,7,4,6,1,2,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>{{1,2,3,4,6,7},{5}}=>[6,1]
[5,7,4,6,1,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>{{1,2,3,4,6,7},{5}}=>[6,1]
[5,7,4,6,2,1,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>{{1,2,3,4,6,7},{5}}=>[6,1]
[5,7,4,6,2,3,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>{{1,2,3,4,6,7},{5}}=>[6,1]
[5,7,4,6,3,1,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>{{1,2,3,4,6,7},{5}}=>[6,1]
[5,7,4,6,3,2,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>{{1,2,3,4,6,7},{5}}=>[6,1]
[5,7,6,1,2,3,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>{{1,2,3,4,6,7},{5}}=>[6,1]
[5,7,6,1,2,4,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>{{1,2,3,4,6,7},{5}}=>[6,1]
[5,7,6,1,3,2,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>{{1,2,3,4,6,7},{5}}=>[6,1]
[5,7,6,1,3,4,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>{{1,2,3,4,6,7},{5}}=>[6,1]
[5,7,6,1,4,2,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>{{1,2,3,4,6,7},{5}}=>[6,1]
[5,7,6,1,4,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>{{1,2,3,4,6,7},{5}}=>[6,1]
[5,7,6,2,1,3,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>{{1,2,3,4,6,7},{5}}=>[6,1]
[5,7,6,2,1,4,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>{{1,2,3,4,6,7},{5}}=>[6,1]
[5,7,6,2,3,1,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>{{1,2,3,4,6,7},{5}}=>[6,1]
[5,7,6,2,3,4,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>{{1,2,3,4,6,7},{5}}=>[6,1]
[5,7,6,2,4,1,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>{{1,2,3,4,6,7},{5}}=>[6,1]
[5,7,6,2,4,3,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>{{1,2,3,4,6,7},{5}}=>[6,1]
[5,7,6,3,1,2,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>{{1,2,3,4,6,7},{5}}=>[6,1]
[5,7,6,3,1,4,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>{{1,2,3,4,6,7},{5}}=>[6,1]
[5,7,6,3,2,1,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>{{1,2,3,4,6,7},{5}}=>[6,1]
[5,7,6,3,2,4,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>{{1,2,3,4,6,7},{5}}=>[6,1]
[5,7,6,3,4,1,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>{{1,2,3,4,6,7},{5}}=>[6,1]
[5,7,6,3,4,2,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>{{1,2,3,4,6,7},{5}}=>[6,1]
[5,7,6,4,1,2,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>{{1,2,3,4,6,7},{5}}=>[6,1]
[5,7,6,4,1,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>{{1,2,3,4,6,7},{5}}=>[6,1]
[5,7,6,4,2,1,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>{{1,2,3,4,6,7},{5}}=>[6,1]
[5,7,6,4,2,3,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>{{1,2,3,4,6,7},{5}}=>[6,1]
[5,7,6,4,3,1,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>{{1,2,3,4,6,7},{5}}=>[6,1]
[5,7,6,4,3,2,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>{{1,2,3,4,6,7},{5}}=>[6,1]
[6,1,2,3,4,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>{{1,2,3,4,5,6},{7}}=>[6,1]
[6,1,2,3,4,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,5,6}}=>[5,2]
[6,1,2,3,5,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>{{1,2,3,4,5,6},{7}}=>[6,1]
[6,1,2,3,5,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,5,6}}=>[5,2]
[6,1,2,3,7,4,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,5,6}}=>[4,3]
[6,1,2,3,7,5,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,5,6}}=>[4,3]
[6,1,2,4,3,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>{{1,2,3,4,5,6},{7}}=>[6,1]
[6,1,2,4,3,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,5,6}}=>[5,2]
[6,1,2,4,5,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>{{1,2,3,4,5,6},{7}}=>[6,1]
[6,1,2,4,5,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,5,6}}=>[5,2]
[6,1,2,4,7,3,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,5,6}}=>[4,3]
[6,1,2,4,7,5,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,5,6}}=>[4,3]
[6,1,2,5,3,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>{{1,2,3,4,5,6},{7}}=>[6,1]
[6,1,2,5,3,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,5,6}}=>[5,2]
[6,1,2,5,4,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>{{1,2,3,4,5,6},{7}}=>[6,1]
[6,1,2,5,4,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,5,6}}=>[5,2]
[6,1,2,5,7,3,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,5,6}}=>[4,3]
[6,1,2,5,7,4,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,5,6}}=>[4,3]
[6,1,2,7,3,4,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,5,6}}=>[4,3]
[6,1,2,7,3,5,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,5,6}}=>[4,3]
[6,1,2,7,4,3,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,5,6}}=>[4,3]
[6,1,2,7,4,5,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,5,6}}=>[4,3]
[6,1,2,7,5,3,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,5,6}}=>[4,3]
[6,1,2,7,5,4,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,5,6}}=>[4,3]
[6,1,3,2,4,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>{{1,2,3,4,5,6},{7}}=>[6,1]
[6,1,3,2,4,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,5,6}}=>[5,2]
[6,1,3,2,5,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>{{1,2,3,4,5,6},{7}}=>[6,1]
[6,1,3,2,5,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,5,6}}=>[5,2]
[6,1,3,2,7,4,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,5,6}}=>[4,3]
[6,1,3,2,7,5,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,5,6}}=>[4,3]
[6,1,3,4,2,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>{{1,2,3,4,5,6},{7}}=>[6,1]
[6,1,3,4,2,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,5,6}}=>[5,2]
[6,1,3,4,5,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>{{1,2,3,4,5,6},{7}}=>[6,1]
[6,1,3,4,5,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,5,6}}=>[5,2]
[6,1,3,4,7,2,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,5,6}}=>[4,3]
[6,1,3,4,7,5,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,5,6}}=>[4,3]
[6,1,3,5,2,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>{{1,2,3,4,5,6},{7}}=>[6,1]
[6,1,3,5,2,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,5,6}}=>[5,2]
[6,1,3,5,4,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>{{1,2,3,4,5,6},{7}}=>[6,1]
[6,1,3,5,4,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,5,6}}=>[5,2]
[6,1,3,5,7,2,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,5,6}}=>[4,3]
[6,1,3,5,7,4,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,5,6}}=>[4,3]
[6,1,3,7,2,4,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,5,6}}=>[4,3]
[6,1,3,7,2,5,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,5,6}}=>[4,3]
[6,1,3,7,4,2,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,5,6}}=>[4,3]
[6,1,3,7,4,5,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,5,6}}=>[4,3]
[6,1,3,7,5,2,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,5,6}}=>[4,3]
[6,1,3,7,5,4,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,5,6}}=>[4,3]
[6,1,4,2,3,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>{{1,2,3,4,5,6},{7}}=>[6,1]
[6,1,4,2,3,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,5,6}}=>[5,2]
[6,1,4,2,5,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>{{1,2,3,4,5,6},{7}}=>[6,1]
[6,1,4,2,5,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,5,6}}=>[5,2]
[6,1,4,2,7,3,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,5,6}}=>[4,3]
[6,1,4,2,7,5,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,5,6}}=>[4,3]
[6,1,4,3,2,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>{{1,2,3,4,5,6},{7}}=>[6,1]
[6,1,4,3,2,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,5,6}}=>[5,2]
[6,1,4,3,5,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>{{1,2,3,4,5,6},{7}}=>[6,1]
[6,1,4,3,5,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,5,6}}=>[5,2]
[6,1,4,3,7,2,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,5,6}}=>[4,3]
[6,1,4,3,7,5,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,5,6}}=>[4,3]
[6,1,4,5,2,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>{{1,2,3,4,5,6},{7}}=>[6,1]
[6,1,4,5,2,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,5,6}}=>[5,2]
[6,1,4,5,3,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>{{1,2,3,4,5,6},{7}}=>[6,1]
[6,1,4,5,3,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,5,6}}=>[5,2]
[6,1,4,5,7,2,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,5,6}}=>[4,3]
[6,1,4,5,7,3,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,5,6}}=>[4,3]
[6,1,4,7,2,3,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,5,6}}=>[4,3]
[6,1,4,7,2,5,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,5,6}}=>[4,3]
[6,1,4,7,3,2,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,5,6}}=>[4,3]
[6,1,4,7,3,5,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,5,6}}=>[4,3]
[6,1,4,7,5,2,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,5,6}}=>[4,3]
[6,1,4,7,5,3,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,5,6}}=>[4,3]
[6,1,5,2,3,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>{{1,2,3,4,5,6},{7}}=>[6,1]
[6,1,5,2,3,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,5,6}}=>[5,2]
[6,1,5,2,4,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>{{1,2,3,4,5,6},{7}}=>[6,1]
[6,1,5,2,4,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,5,6}}=>[5,2]
[6,1,5,2,7,3,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,5,6}}=>[4,3]
[6,1,5,2,7,4,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,5,6}}=>[4,3]
[6,1,5,3,2,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>{{1,2,3,4,5,6},{7}}=>[6,1]
[6,1,5,3,2,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,5,6}}=>[5,2]
[6,1,5,3,4,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>{{1,2,3,4,5,6},{7}}=>[6,1]
[6,1,5,3,4,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,5,6}}=>[5,2]
[6,1,5,3,7,2,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,5,6}}=>[4,3]
[6,1,5,3,7,4,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,5,6}}=>[4,3]
[6,1,5,4,2,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>{{1,2,3,4,5,6},{7}}=>[6,1]
[6,1,5,4,2,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,5,6}}=>[5,2]
[6,1,5,4,3,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>{{1,2,3,4,5,6},{7}}=>[6,1]
[6,1,5,4,3,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,5,6}}=>[5,2]
[6,1,5,4,7,2,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,5,6}}=>[4,3]
[6,1,5,4,7,3,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,5,6}}=>[4,3]
[6,1,5,7,2,3,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,5,6}}=>[4,3]
[6,1,5,7,2,4,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,5,6}}=>[4,3]
[6,1,5,7,3,2,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,5,6}}=>[4,3]
[6,1,5,7,3,4,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,5,6}}=>[4,3]
[6,1,5,7,4,2,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,5,6}}=>[4,3]
[6,1,5,7,4,3,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,5,6}}=>[4,3]
[6,1,7,2,3,4,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5,6}}=>[5,2]
[6,1,7,2,3,5,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5,6}}=>[5,2]
[6,1,7,2,4,3,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5,6}}=>[5,2]
[6,1,7,2,4,5,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5,6}}=>[5,2]
[6,1,7,2,5,3,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5,6}}=>[5,2]
[6,1,7,2,5,4,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5,6}}=>[5,2]
[6,1,7,3,2,4,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5,6}}=>[5,2]
[6,1,7,3,2,5,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5,6}}=>[5,2]
[6,1,7,3,4,2,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5,6}}=>[5,2]
[6,1,7,3,4,5,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5,6}}=>[5,2]
[6,1,7,3,5,2,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5,6}}=>[5,2]
[6,1,7,3,5,4,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5,6}}=>[5,2]
[6,1,7,4,2,3,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5,6}}=>[5,2]
[6,1,7,4,2,5,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5,6}}=>[5,2]
[6,1,7,4,3,2,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5,6}}=>[5,2]
[6,1,7,4,3,5,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5,6}}=>[5,2]
[6,1,7,4,5,2,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5,6}}=>[5,2]
[6,1,7,4,5,3,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5,6}}=>[5,2]
[6,1,7,5,2,3,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5,6}}=>[5,2]
[6,1,7,5,2,4,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5,6}}=>[5,2]
[6,1,7,5,3,2,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5,6}}=>[5,2]
[6,1,7,5,3,4,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5,6}}=>[5,2]
[6,1,7,5,4,2,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5,6}}=>[5,2]
[6,1,7,5,4,3,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5,6}}=>[5,2]
[6,2,1,3,4,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>{{1,2,3,4,5,6},{7}}=>[6,1]
[6,2,1,3,4,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,5,6}}=>[5,2]
[6,2,1,3,5,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>{{1,2,3,4,5,6},{7}}=>[6,1]
[6,2,1,3,5,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,5,6}}=>[5,2]
[6,2,1,3,7,4,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,5,6}}=>[4,3]
[6,2,1,3,7,5,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,5,6}}=>[4,3]
[6,2,1,4,3,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>{{1,2,3,4,5,6},{7}}=>[6,1]
[6,2,1,4,3,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,5,6}}=>[5,2]
[6,2,1,4,5,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>{{1,2,3,4,5,6},{7}}=>[6,1]
[6,2,1,4,5,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,5,6}}=>[5,2]
[6,2,1,4,7,3,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,5,6}}=>[4,3]
[6,2,1,4,7,5,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,5,6}}=>[4,3]
[6,2,1,5,3,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>{{1,2,3,4,5,6},{7}}=>[6,1]
[6,2,1,5,3,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,5,6}}=>[5,2]
[6,2,1,5,4,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>{{1,2,3,4,5,6},{7}}=>[6,1]
[6,2,1,5,4,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,5,6}}=>[5,2]
[6,2,1,5,7,3,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,5,6}}=>[4,3]
[6,2,1,5,7,4,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,5,6}}=>[4,3]
[6,2,1,7,3,4,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,5,6}}=>[4,3]
[6,2,1,7,3,5,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,5,6}}=>[4,3]
[6,2,1,7,4,3,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,5,6}}=>[4,3]
[6,2,1,7,4,5,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,5,6}}=>[4,3]
[6,2,1,7,5,3,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,5,6}}=>[4,3]
[6,2,1,7,5,4,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,5,6}}=>[4,3]
[6,2,3,1,4,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>{{1,2,3,4,5,6},{7}}=>[6,1]
[6,2,3,1,4,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,5,6}}=>[5,2]
[6,2,3,1,5,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>{{1,2,3,4,5,6},{7}}=>[6,1]
[6,2,3,1,5,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,5,6}}=>[5,2]
[6,2,3,1,7,4,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,5,6}}=>[4,3]
[6,2,3,1,7,5,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,5,6}}=>[4,3]
[6,2,3,4,1,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>{{1,2,3,4,5,6},{7}}=>[6,1]
[6,2,3,4,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,5,6}}=>[5,2]
[6,2,3,4,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>{{1,2,3,4,5,6},{7}}=>[6,1]
[6,2,3,4,5,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,5,6}}=>[5,2]
[6,2,3,4,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,5,6}}=>[4,3]
[6,2,3,4,7,5,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,5,6}}=>[4,3]
[6,2,3,5,1,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>{{1,2,3,4,5,6},{7}}=>[6,1]
[6,2,3,5,1,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,5,6}}=>[5,2]
[6,2,3,5,4,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>{{1,2,3,4,5,6},{7}}=>[6,1]
[6,2,3,5,4,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,5,6}}=>[5,2]
[6,2,3,5,7,1,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,5,6}}=>[4,3]
[6,2,3,5,7,4,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,5,6}}=>[4,3]
[6,2,3,7,1,4,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,5,6}}=>[4,3]
[6,2,3,7,1,5,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,5,6}}=>[4,3]
[6,2,3,7,4,1,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,5,6}}=>[4,3]
[6,2,3,7,4,5,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,5,6}}=>[4,3]
[6,2,3,7,5,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,5,6}}=>[4,3]
[6,2,3,7,5,4,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,5,6}}=>[4,3]
[6,2,4,1,3,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>{{1,2,3,4,5,6},{7}}=>[6,1]
[6,2,4,1,3,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,5,6}}=>[5,2]
[6,2,4,1,5,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>{{1,2,3,4,5,6},{7}}=>[6,1]
[6,2,4,1,5,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,5,6}}=>[5,2]
[6,2,4,1,7,3,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,5,6}}=>[4,3]
[6,2,4,1,7,5,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,5,6}}=>[4,3]
[6,2,4,3,1,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>{{1,2,3,4,5,6},{7}}=>[6,1]
[6,2,4,3,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,5,6}}=>[5,2]
[6,2,4,3,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>{{1,2,3,4,5,6},{7}}=>[6,1]
[6,2,4,3,5,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,5,6}}=>[5,2]
[6,2,4,3,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,5,6}}=>[4,3]
[6,2,4,3,7,5,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,5,6}}=>[4,3]
[6,2,4,5,1,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>{{1,2,3,4,5,6},{7}}=>[6,1]
[6,2,4,5,1,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,5,6}}=>[5,2]
[6,2,4,5,3,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>{{1,2,3,4,5,6},{7}}=>[6,1]
[6,2,4,5,3,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,5,6}}=>[5,2]
[6,2,4,5,7,1,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,5,6}}=>[4,3]
[6,2,4,5,7,3,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,5,6}}=>[4,3]
[6,2,4,7,1,3,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,5,6}}=>[4,3]
[6,2,4,7,1,5,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,5,6}}=>[4,3]
[6,2,4,7,3,1,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,5,6}}=>[4,3]
[6,2,4,7,3,5,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,5,6}}=>[4,3]
[6,2,4,7,5,1,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,5,6}}=>[4,3]
[6,2,4,7,5,3,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,5,6}}=>[4,3]
[6,2,5,1,3,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>{{1,2,3,4,5,6},{7}}=>[6,1]
[6,2,5,1,3,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,5,6}}=>[5,2]
[6,2,5,1,4,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>{{1,2,3,4,5,6},{7}}=>[6,1]
[6,2,5,1,4,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,5,6}}=>[5,2]
[6,2,5,1,7,3,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,5,6}}=>[4,3]
[6,2,5,1,7,4,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,5,6}}=>[4,3]
[6,2,5,3,1,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>{{1,2,3,4,5,6},{7}}=>[6,1]
[6,2,5,3,1,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,5,6}}=>[5,2]
[6,2,5,3,4,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>{{1,2,3,4,5,6},{7}}=>[6,1]
[6,2,5,3,4,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,5,6}}=>[5,2]
[6,2,5,3,7,1,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,5,6}}=>[4,3]
[6,2,5,3,7,4,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,5,6}}=>[4,3]
[6,2,5,4,1,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>{{1,2,3,4,5,6},{7}}=>[6,1]
[6,2,5,4,1,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,5,6}}=>[5,2]
[6,2,5,4,3,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>{{1,2,3,4,5,6},{7}}=>[6,1]
[6,2,5,4,3,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,5,6}}=>[5,2]
[6,2,5,4,7,1,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,5,6}}=>[4,3]
[6,2,5,4,7,3,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,5,6}}=>[4,3]
[6,2,5,7,1,3,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,5,6}}=>[4,3]
[6,2,5,7,1,4,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,5,6}}=>[4,3]
[6,2,5,7,3,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,5,6}}=>[4,3]
[6,2,5,7,3,4,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,5,6}}=>[4,3]
[6,2,5,7,4,1,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,5,6}}=>[4,3]
[6,2,5,7,4,3,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,5,6}}=>[4,3]
[6,2,7,1,3,4,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5,6}}=>[5,2]
[6,2,7,1,3,5,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5,6}}=>[5,2]
[6,2,7,1,4,3,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5,6}}=>[5,2]
[6,2,7,1,4,5,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5,6}}=>[5,2]
[6,2,7,1,5,3,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5,6}}=>[5,2]
[6,2,7,1,5,4,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5,6}}=>[5,2]
[6,2,7,3,1,4,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5,6}}=>[5,2]
[6,2,7,3,1,5,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5,6}}=>[5,2]
[6,2,7,3,4,1,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5,6}}=>[5,2]
[6,2,7,3,4,5,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5,6}}=>[5,2]
[6,2,7,3,5,1,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5,6}}=>[5,2]
[6,2,7,3,5,4,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5,6}}=>[5,2]
[6,2,7,4,1,3,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5,6}}=>[5,2]
[6,2,7,4,1,5,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5,6}}=>[5,2]
[6,2,7,4,3,1,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5,6}}=>[5,2]
[6,2,7,4,3,5,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5,6}}=>[5,2]
[6,2,7,4,5,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5,6}}=>[5,2]
[6,2,7,4,5,3,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5,6}}=>[5,2]
[6,2,7,5,1,3,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5,6}}=>[5,2]
[6,2,7,5,1,4,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5,6}}=>[5,2]
[6,2,7,5,3,1,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5,6}}=>[5,2]
[6,2,7,5,3,4,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5,6}}=>[5,2]
[6,2,7,5,4,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5,6}}=>[5,2]
[6,2,7,5,4,3,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5,6}}=>[5,2]
[6,3,1,2,4,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>{{1,2,3,4,5,6},{7}}=>[6,1]
[6,3,1,2,4,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,5,6}}=>[5,2]
[6,3,1,2,5,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>{{1,2,3,4,5,6},{7}}=>[6,1]
[6,3,1,2,5,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,5,6}}=>[5,2]
[6,3,1,2,7,4,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,5,6}}=>[4,3]
[6,3,1,2,7,5,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,5,6}}=>[4,3]
[6,3,1,4,2,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>{{1,2,3,4,5,6},{7}}=>[6,1]
[6,3,1,4,2,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,5,6}}=>[5,2]
[6,3,1,4,5,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>{{1,2,3,4,5,6},{7}}=>[6,1]
[6,3,1,4,5,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,5,6}}=>[5,2]
[6,3,1,4,7,2,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,5,6}}=>[4,3]
[6,3,1,4,7,5,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,5,6}}=>[4,3]
[6,3,1,5,2,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>{{1,2,3,4,5,6},{7}}=>[6,1]
[6,3,1,5,2,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,5,6}}=>[5,2]
[6,3,1,5,4,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>{{1,2,3,4,5,6},{7}}=>[6,1]
[6,3,1,5,4,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,5,6}}=>[5,2]
[6,3,1,5,7,2,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,5,6}}=>[4,3]
[6,3,1,5,7,4,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,5,6}}=>[4,3]
[6,3,1,7,2,4,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,5,6}}=>[4,3]
[6,3,1,7,2,5,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,5,6}}=>[4,3]
[6,3,1,7,4,2,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,5,6}}=>[4,3]
[6,3,1,7,4,5,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,5,6}}=>[4,3]
[6,3,1,7,5,2,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,5,6}}=>[4,3]
[6,3,1,7,5,4,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,5,6}}=>[4,3]
[6,3,2,1,4,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>{{1,2,3,4,5,6},{7}}=>[6,1]
[6,3,2,1,4,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,5,6}}=>[5,2]
[6,3,2,1,5,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>{{1,2,3,4,5,6},{7}}=>[6,1]
[6,3,2,1,5,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,5,6}}=>[5,2]
[6,3,2,1,7,4,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,5,6}}=>[4,3]
[6,3,2,1,7,5,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,5,6}}=>[4,3]
[6,3,2,4,1,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>{{1,2,3,4,5,6},{7}}=>[6,1]
[6,3,2,4,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,5,6}}=>[5,2]
[6,3,2,4,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>{{1,2,3,4,5,6},{7}}=>[6,1]
[6,3,2,4,5,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,5,6}}=>[5,2]
[6,3,2,4,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,5,6}}=>[4,3]
[6,3,2,4,7,5,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,5,6}}=>[4,3]
[6,3,2,5,1,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>{{1,2,3,4,5,6},{7}}=>[6,1]
[6,3,2,5,1,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,5,6}}=>[5,2]
[6,3,2,5,4,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>{{1,2,3,4,5,6},{7}}=>[6,1]
[6,3,2,5,4,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,5,6}}=>[5,2]
[6,3,2,5,7,1,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,5,6}}=>[4,3]
[6,3,2,5,7,4,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,5,6}}=>[4,3]
[6,3,2,7,1,4,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,5,6}}=>[4,3]
[6,3,2,7,1,5,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,5,6}}=>[4,3]
[6,3,2,7,4,1,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,5,6}}=>[4,3]
[6,3,2,7,4,5,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,5,6}}=>[4,3]
[6,3,2,7,5,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,5,6}}=>[4,3]
[6,3,2,7,5,4,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,5,6}}=>[4,3]
[6,3,4,1,2,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>{{1,2,3,4,5,6},{7}}=>[6,1]
[6,3,4,1,2,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,5,6}}=>[5,2]
[6,3,4,1,5,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>{{1,2,3,4,5,6},{7}}=>[6,1]
[6,3,4,1,5,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,5,6}}=>[5,2]
[6,3,4,1,7,2,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,5,6}}=>[4,3]
[6,3,4,1,7,5,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,5,6}}=>[4,3]
[6,3,4,2,1,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>{{1,2,3,4,5,6},{7}}=>[6,1]
[6,3,4,2,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,5,6}}=>[5,2]
[6,3,4,2,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>{{1,2,3,4,5,6},{7}}=>[6,1]
[6,3,4,2,5,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,5,6}}=>[5,2]
[6,3,4,2,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,5,6}}=>[4,3]
[6,3,4,2,7,5,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,5,6}}=>[4,3]
[6,3,4,5,1,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>{{1,2,3,4,5,6},{7}}=>[6,1]
[6,3,4,5,1,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,5,6}}=>[5,2]
[6,3,4,5,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>{{1,2,3,4,5,6},{7}}=>[6,1]
[6,3,4,5,2,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,5,6}}=>[5,2]
[6,3,4,5,7,1,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,5,6}}=>[4,3]
[6,3,4,5,7,2,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,5,6}}=>[4,3]
[6,3,4,7,1,2,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,5,6}}=>[4,3]
[6,3,4,7,1,5,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,5,6}}=>[4,3]
[6,3,4,7,2,1,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,5,6}}=>[4,3]
[6,3,4,7,2,5,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,5,6}}=>[4,3]
[6,3,4,7,5,1,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,5,6}}=>[4,3]
[6,3,4,7,5,2,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,5,6}}=>[4,3]
[6,3,5,1,2,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>{{1,2,3,4,5,6},{7}}=>[6,1]
[6,3,5,1,2,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,5,6}}=>[5,2]
[6,3,5,1,4,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>{{1,2,3,4,5,6},{7}}=>[6,1]
[6,3,5,1,4,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,5,6}}=>[5,2]
[6,3,5,1,7,2,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,5,6}}=>[4,3]
[6,3,5,1,7,4,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,5,6}}=>[4,3]
[6,3,5,2,1,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>{{1,2,3,4,5,6},{7}}=>[6,1]
[6,3,5,2,1,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,5,6}}=>[5,2]
[6,3,5,2,4,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>{{1,2,3,4,5,6},{7}}=>[6,1]
[6,3,5,2,4,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,5,6}}=>[5,2]
[6,3,5,2,7,1,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,5,6}}=>[4,3]
[6,3,5,2,7,4,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,5,6}}=>[4,3]
[6,3,5,4,1,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>{{1,2,3,4,5,6},{7}}=>[6,1]
[6,3,5,4,1,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,5,6}}=>[5,2]
[6,3,5,4,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>{{1,2,3,4,5,6},{7}}=>[6,1]
[6,3,5,4,2,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,5,6}}=>[5,2]
[6,3,5,4,7,1,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,5,6}}=>[4,3]
[6,3,5,4,7,2,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,5,6}}=>[4,3]
[6,3,5,7,1,2,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,5,6}}=>[4,3]
[6,3,5,7,1,4,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,5,6}}=>[4,3]
[6,3,5,7,2,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,5,6}}=>[4,3]
[6,3,5,7,2,4,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,5,6}}=>[4,3]
[6,3,5,7,4,1,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,5,6}}=>[4,3]
[6,3,5,7,4,2,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,5,6}}=>[4,3]
[6,3,7,1,2,4,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5,6}}=>[5,2]
[6,3,7,1,2,5,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5,6}}=>[5,2]
[6,3,7,1,4,2,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5,6}}=>[5,2]
[6,3,7,1,4,5,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5,6}}=>[5,2]
[6,3,7,1,5,2,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5,6}}=>[5,2]
[6,3,7,1,5,4,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5,6}}=>[5,2]
[6,3,7,2,1,4,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5,6}}=>[5,2]
[6,3,7,2,1,5,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5,6}}=>[5,2]
[6,3,7,2,4,1,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5,6}}=>[5,2]
[6,3,7,2,4,5,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5,6}}=>[5,2]
[6,3,7,2,5,1,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5,6}}=>[5,2]
[6,3,7,2,5,4,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5,6}}=>[5,2]
[6,3,7,4,1,2,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5,6}}=>[5,2]
[6,3,7,4,1,5,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5,6}}=>[5,2]
[6,3,7,4,2,1,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5,6}}=>[5,2]
[6,3,7,4,2,5,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5,6}}=>[5,2]
[6,3,7,4,5,1,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5,6}}=>[5,2]
[6,3,7,4,5,2,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5,6}}=>[5,2]
[6,3,7,5,1,2,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5,6}}=>[5,2]
[6,3,7,5,1,4,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5,6}}=>[5,2]
[6,3,7,5,2,1,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5,6}}=>[5,2]
[6,3,7,5,2,4,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5,6}}=>[5,2]
[6,3,7,5,4,1,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5,6}}=>[5,2]
[6,3,7,5,4,2,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5,6}}=>[5,2]
[6,4,1,2,3,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>{{1,2,3,4,5,6},{7}}=>[6,1]
[6,4,1,2,3,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,5,6}}=>[5,2]
[6,4,1,2,5,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>{{1,2,3,4,5,6},{7}}=>[6,1]
[6,4,1,2,5,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,5,6}}=>[5,2]
[6,4,1,2,7,3,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,5,6}}=>[4,3]
[6,4,1,2,7,5,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,5,6}}=>[4,3]
[6,4,1,3,2,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>{{1,2,3,4,5,6},{7}}=>[6,1]
[6,4,1,3,2,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,5,6}}=>[5,2]
[6,4,1,3,5,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>{{1,2,3,4,5,6},{7}}=>[6,1]
[6,4,1,3,5,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,5,6}}=>[5,2]
[6,4,1,3,7,2,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,5,6}}=>[4,3]
[6,4,1,3,7,5,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,5,6}}=>[4,3]
[6,4,1,5,2,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>{{1,2,3,4,5,6},{7}}=>[6,1]
[6,4,1,5,2,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,5,6}}=>[5,2]
[6,4,1,5,3,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>{{1,2,3,4,5,6},{7}}=>[6,1]
[6,4,1,5,3,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,5,6}}=>[5,2]
[6,4,1,5,7,2,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,5,6}}=>[4,3]
[6,4,1,5,7,3,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,5,6}}=>[4,3]
[6,4,1,7,2,3,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,5,6}}=>[4,3]
[6,4,1,7,2,5,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,5,6}}=>[4,3]
[6,4,1,7,3,2,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,5,6}}=>[4,3]
[6,4,1,7,3,5,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,5,6}}=>[4,3]
[6,4,1,7,5,2,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,5,6}}=>[4,3]
[6,4,1,7,5,3,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,5,6}}=>[4,3]
[6,4,2,1,3,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>{{1,2,3,4,5,6},{7}}=>[6,1]
[6,4,2,1,3,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,5,6}}=>[5,2]
[6,4,2,1,5,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>{{1,2,3,4,5,6},{7}}=>[6,1]
[6,4,2,1,5,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,5,6}}=>[5,2]
[6,4,2,1,7,3,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,5,6}}=>[4,3]
[6,4,2,1,7,5,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,5,6}}=>[4,3]
[6,4,2,3,1,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>{{1,2,3,4,5,6},{7}}=>[6,1]
[6,4,2,3,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,5,6}}=>[5,2]
[6,4,2,3,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>{{1,2,3,4,5,6},{7}}=>[6,1]
[6,4,2,3,5,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,5,6}}=>[5,2]
[6,4,2,3,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,5,6}}=>[4,3]
[6,4,2,3,7,5,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,5,6}}=>[4,3]
[6,4,2,5,1,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>{{1,2,3,4,5,6},{7}}=>[6,1]
[6,4,2,5,1,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,5,6}}=>[5,2]
[6,4,2,5,3,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>{{1,2,3,4,5,6},{7}}=>[6,1]
[6,4,2,5,3,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,5,6}}=>[5,2]
[6,4,2,5,7,1,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,5,6}}=>[4,3]
[6,4,2,5,7,3,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,5,6}}=>[4,3]
[6,4,2,7,1,3,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,5,6}}=>[4,3]
[6,4,2,7,1,5,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,5,6}}=>[4,3]
[6,4,2,7,3,1,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,5,6}}=>[4,3]
[6,4,2,7,3,5,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,5,6}}=>[4,3]
[6,4,2,7,5,1,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,5,6}}=>[4,3]
[6,4,2,7,5,3,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,5,6}}=>[4,3]
[6,4,3,1,2,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>{{1,2,3,4,5,6},{7}}=>[6,1]
[6,4,3,1,2,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,5,6}}=>[5,2]
[6,4,3,1,5,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>{{1,2,3,4,5,6},{7}}=>[6,1]
[6,4,3,1,5,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,5,6}}=>[5,2]
[6,4,3,1,7,2,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,5,6}}=>[4,3]
[6,4,3,1,7,5,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,5,6}}=>[4,3]
[6,4,3,2,1,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>{{1,2,3,4,5,6},{7}}=>[6,1]
[6,4,3,2,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,5,6}}=>[5,2]
[6,4,3,2,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>{{1,2,3,4,5,6},{7}}=>[6,1]
[6,4,3,2,5,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,5,6}}=>[5,2]
[6,4,3,2,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,5,6}}=>[4,3]
[6,4,3,2,7,5,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,5,6}}=>[4,3]
[6,4,3,5,1,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>{{1,2,3,4,5,6},{7}}=>[6,1]
[6,4,3,5,1,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,5,6}}=>[5,2]
[6,4,3,5,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>{{1,2,3,4,5,6},{7}}=>[6,1]
[6,4,3,5,2,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,5,6}}=>[5,2]
[6,4,3,5,7,1,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,5,6}}=>[4,3]
[6,4,3,5,7,2,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,5,6}}=>[4,3]
[6,4,3,7,1,2,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,5,6}}=>[4,3]
[6,4,3,7,1,5,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,5,6}}=>[4,3]
[6,4,3,7,2,1,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,5,6}}=>[4,3]
[6,4,3,7,2,5,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,5,6}}=>[4,3]
[6,4,3,7,5,1,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,5,6}}=>[4,3]
[6,4,3,7,5,2,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,5,6}}=>[4,3]
[6,4,5,1,2,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>{{1,2,3,4,5,6},{7}}=>[6,1]
[6,4,5,1,2,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,5,6}}=>[5,2]
[6,4,5,1,3,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>{{1,2,3,4,5,6},{7}}=>[6,1]
[6,4,5,1,3,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,5,6}}=>[5,2]
[6,4,5,1,7,2,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,5,6}}=>[4,3]
[6,4,5,1,7,3,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,5,6}}=>[4,3]
[6,4,5,2,1,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>{{1,2,3,4,5,6},{7}}=>[6,1]
[6,4,5,2,1,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,5,6}}=>[5,2]
[6,4,5,2,3,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>{{1,2,3,4,5,6},{7}}=>[6,1]
[6,4,5,2,3,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,5,6}}=>[5,2]
[6,4,5,2,7,1,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,5,6}}=>[4,3]
[6,4,5,2,7,3,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,5,6}}=>[4,3]
[6,4,5,3,1,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>{{1,2,3,4,5,6},{7}}=>[6,1]
[6,4,5,3,1,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,5,6}}=>[5,2]
[6,4,5,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>{{1,2,3,4,5,6},{7}}=>[6,1]
[6,4,5,3,2,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,5,6}}=>[5,2]
[6,4,5,3,7,1,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,5,6}}=>[4,3]
[6,4,5,3,7,2,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,5,6}}=>[4,3]
[6,4,5,7,1,2,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,5,6}}=>[4,3]
[6,4,5,7,1,3,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,5,6}}=>[4,3]
[6,4,5,7,2,1,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,5,6}}=>[4,3]
[6,4,5,7,2,3,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,5,6}}=>[4,3]
[6,4,5,7,3,1,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,5,6}}=>[4,3]
[6,4,5,7,3,2,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,5,6}}=>[4,3]
[6,4,7,1,2,3,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5,6}}=>[5,2]
[6,4,7,1,2,5,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5,6}}=>[5,2]
[6,4,7,1,3,2,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5,6}}=>[5,2]
[6,4,7,1,3,5,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5,6}}=>[5,2]
[6,4,7,1,5,2,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5,6}}=>[5,2]
[6,4,7,1,5,3,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5,6}}=>[5,2]
[6,4,7,2,1,3,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5,6}}=>[5,2]
[6,4,7,2,1,5,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5,6}}=>[5,2]
[6,4,7,2,3,1,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5,6}}=>[5,2]
[6,4,7,2,3,5,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5,6}}=>[5,2]
[6,4,7,2,5,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5,6}}=>[5,2]
[6,4,7,2,5,3,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5,6}}=>[5,2]
[6,4,7,3,1,2,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5,6}}=>[5,2]
[6,4,7,3,1,5,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5,6}}=>[5,2]
[6,4,7,3,2,1,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5,6}}=>[5,2]
[6,4,7,3,2,5,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5,6}}=>[5,2]
[6,4,7,3,5,1,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5,6}}=>[5,2]
[6,4,7,3,5,2,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5,6}}=>[5,2]
[6,4,7,5,1,2,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5,6}}=>[5,2]
[6,4,7,5,1,3,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5,6}}=>[5,2]
[6,4,7,5,2,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5,6}}=>[5,2]
[6,4,7,5,2,3,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5,6}}=>[5,2]
[6,4,7,5,3,1,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5,6}}=>[5,2]
[6,4,7,5,3,2,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5,6}}=>[5,2]
[6,5,1,2,3,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>{{1,2,3,4,5,6},{7}}=>[6,1]
[6,5,1,2,3,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,5,6}}=>[5,2]
[6,5,1,2,4,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>{{1,2,3,4,5,6},{7}}=>[6,1]
[6,5,1,2,4,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,5,6}}=>[5,2]
[6,5,1,2,7,3,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,5,6}}=>[4,3]
[6,5,1,2,7,4,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,5,6}}=>[4,3]
[6,5,1,3,2,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>{{1,2,3,4,5,6},{7}}=>[6,1]
[6,5,1,3,2,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,5,6}}=>[5,2]
[6,5,1,3,4,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>{{1,2,3,4,5,6},{7}}=>[6,1]
[6,5,1,3,4,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,5,6}}=>[5,2]
[6,5,1,3,7,2,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,5,6}}=>[4,3]
[6,5,1,3,7,4,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,5,6}}=>[4,3]
[6,5,1,4,2,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>{{1,2,3,4,5,6},{7}}=>[6,1]
[6,5,1,4,2,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,5,6}}=>[5,2]
[6,5,1,4,3,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>{{1,2,3,4,5,6},{7}}=>[6,1]
[6,5,1,4,3,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,5,6}}=>[5,2]
[6,5,1,4,7,2,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,5,6}}=>[4,3]
[6,5,1,4,7,3,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,5,6}}=>[4,3]
[6,5,1,7,2,3,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,5,6}}=>[4,3]
[6,5,1,7,2,4,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,5,6}}=>[4,3]
[6,5,1,7,3,2,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,5,6}}=>[4,3]
[6,5,1,7,3,4,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,5,6}}=>[4,3]
[6,5,1,7,4,2,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,5,6}}=>[4,3]
[6,5,1,7,4,3,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,5,6}}=>[4,3]
[6,5,2,1,3,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>{{1,2,3,4,5,6},{7}}=>[6,1]
[6,5,2,1,3,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,5,6}}=>[5,2]
[6,5,2,1,4,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>{{1,2,3,4,5,6},{7}}=>[6,1]
[6,5,2,1,4,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,5,6}}=>[5,2]
[6,5,2,1,7,3,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,5,6}}=>[4,3]
[6,5,2,1,7,4,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,5,6}}=>[4,3]
[6,5,2,3,1,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>{{1,2,3,4,5,6},{7}}=>[6,1]
[6,5,2,3,1,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,5,6}}=>[5,2]
[6,5,2,3,4,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>{{1,2,3,4,5,6},{7}}=>[6,1]
[6,5,2,3,4,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,5,6}}=>[5,2]
[6,5,2,3,7,1,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,5,6}}=>[4,3]
[6,5,2,3,7,4,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,5,6}}=>[4,3]
[6,5,2,4,1,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>{{1,2,3,4,5,6},{7}}=>[6,1]
[6,5,2,4,1,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,5,6}}=>[5,2]
[6,5,2,4,3,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>{{1,2,3,4,5,6},{7}}=>[6,1]
[6,5,2,4,3,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,5,6}}=>[5,2]
[6,5,2,4,7,1,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,5,6}}=>[4,3]
[6,5,2,4,7,3,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,5,6}}=>[4,3]
[6,5,2,7,1,3,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,5,6}}=>[4,3]
[6,5,2,7,1,4,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,5,6}}=>[4,3]
[6,5,2,7,3,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,5,6}}=>[4,3]
[6,5,2,7,3,4,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,5,6}}=>[4,3]
[6,5,2,7,4,1,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,5,6}}=>[4,3]
[6,5,2,7,4,3,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,5,6}}=>[4,3]
[6,5,3,1,2,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>{{1,2,3,4,5,6},{7}}=>[6,1]
[6,5,3,1,2,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,5,6}}=>[5,2]
[6,5,3,1,4,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>{{1,2,3,4,5,6},{7}}=>[6,1]
[6,5,3,1,4,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,5,6}}=>[5,2]
[6,5,3,1,7,2,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,5,6}}=>[4,3]
[6,5,3,1,7,4,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,5,6}}=>[4,3]
[6,5,3,2,1,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>{{1,2,3,4,5,6},{7}}=>[6,1]
[6,5,3,2,1,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,5,6}}=>[5,2]
[6,5,3,2,4,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>{{1,2,3,4,5,6},{7}}=>[6,1]
[6,5,3,2,4,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,5,6}}=>[5,2]
[6,5,3,2,7,1,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,5,6}}=>[4,3]
[6,5,3,2,7,4,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,5,6}}=>[4,3]
[6,5,3,4,1,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>{{1,2,3,4,5,6},{7}}=>[6,1]
[6,5,3,4,1,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,5,6}}=>[5,2]
[6,5,3,4,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>{{1,2,3,4,5,6},{7}}=>[6,1]
[6,5,3,4,2,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,5,6}}=>[5,2]
[6,5,3,4,7,1,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,5,6}}=>[4,3]
[6,5,3,4,7,2,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,5,6}}=>[4,3]
[6,5,3,7,1,2,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,5,6}}=>[4,3]
[6,5,3,7,1,4,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,5,6}}=>[4,3]
[6,5,3,7,2,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,5,6}}=>[4,3]
[6,5,3,7,2,4,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,5,6}}=>[4,3]
[6,5,3,7,4,1,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,5,6}}=>[4,3]
[6,5,3,7,4,2,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,5,6}}=>[4,3]
[6,5,4,1,2,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>{{1,2,3,4,5,6},{7}}=>[6,1]
[6,5,4,1,2,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,5,6}}=>[5,2]
[6,5,4,1,3,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>{{1,2,3,4,5,6},{7}}=>[6,1]
[6,5,4,1,3,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,5,6}}=>[5,2]
[6,5,4,1,7,2,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,5,6}}=>[4,3]
[6,5,4,1,7,3,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,5,6}}=>[4,3]
[6,5,4,2,1,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>{{1,2,3,4,5,6},{7}}=>[6,1]
[6,5,4,2,1,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,5,6}}=>[5,2]
[6,5,4,2,3,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>{{1,2,3,4,5,6},{7}}=>[6,1]
[6,5,4,2,3,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,5,6}}=>[5,2]
[6,5,4,2,7,1,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,5,6}}=>[4,3]
[6,5,4,2,7,3,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,5,6}}=>[4,3]
[6,5,4,3,1,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>{{1,2,3,4,5,6},{7}}=>[6,1]
[6,5,4,3,1,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,5,6}}=>[5,2]
[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>{{1,2,3,4,5,6},{7}}=>[6,1]
[6,5,4,3,2,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>{{1,7},{2,3,4,5,6}}=>[5,2]
[6,5,4,3,7,1,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,5,6}}=>[4,3]
[6,5,4,3,7,2,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>{{1,2,7},{3,4,5,6}}=>[4,3]
[6,5,4,7,1,2,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,5,6}}=>[4,3]
[6,5,4,7,1,3,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,5,6}}=>[4,3]
[6,5,4,7,2,1,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,5,6}}=>[4,3]
[6,5,4,7,2,3,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,5,6}}=>[4,3]
[6,5,4,7,3,1,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,5,6}}=>[4,3]
[6,5,4,7,3,2,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>{{1,2,3,7},{4,5,6}}=>[4,3]
[6,5,7,1,2,3,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5,6}}=>[5,2]
[6,5,7,1,2,4,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5,6}}=>[5,2]
[6,5,7,1,3,2,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5,6}}=>[5,2]
[6,5,7,1,3,4,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5,6}}=>[5,2]
[6,5,7,1,4,2,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5,6}}=>[5,2]
[6,5,7,1,4,3,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5,6}}=>[5,2]
[6,5,7,2,1,3,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5,6}}=>[5,2]
[6,5,7,2,1,4,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5,6}}=>[5,2]
[6,5,7,2,3,1,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5,6}}=>[5,2]
[6,5,7,2,3,4,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5,6}}=>[5,2]
[6,5,7,2,4,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5,6}}=>[5,2]
[6,5,7,2,4,3,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5,6}}=>[5,2]
[6,5,7,3,1,2,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5,6}}=>[5,2]
[6,5,7,3,1,4,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5,6}}=>[5,2]
[6,5,7,3,2,1,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5,6}}=>[5,2]
[6,5,7,3,2,4,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5,6}}=>[5,2]
[6,5,7,3,4,1,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5,6}}=>[5,2]
[6,5,7,3,4,2,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5,6}}=>[5,2]
[6,5,7,4,1,2,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5,6}}=>[5,2]
[6,5,7,4,1,3,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5,6}}=>[5,2]
[6,5,7,4,2,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5,6}}=>[5,2]
[6,5,7,4,2,3,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5,6}}=>[5,2]
[6,5,7,4,3,1,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5,6}}=>[5,2]
[6,5,7,4,3,2,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,7},{5,6}}=>[5,2]
[6,7,1,2,3,4,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,7},{6}}=>[6,1]
[6,7,1,2,3,5,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,7},{6}}=>[6,1]
[6,7,1,2,4,3,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,7},{6}}=>[6,1]
[6,7,1,2,4,5,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,7},{6}}=>[6,1]
[6,7,1,2,5,3,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,7},{6}}=>[6,1]
[6,7,1,2,5,4,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,7},{6}}=>[6,1]
[6,7,1,3,2,4,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,7},{6}}=>[6,1]
[6,7,1,3,2,5,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,7},{6}}=>[6,1]
[6,7,1,3,4,2,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,7},{6}}=>[6,1]
[6,7,1,3,4,5,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,7},{6}}=>[6,1]
[6,7,1,3,5,2,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,7},{6}}=>[6,1]
[6,7,1,3,5,4,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,7},{6}}=>[6,1]
[6,7,1,4,2,3,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,7},{6}}=>[6,1]
[6,7,1,4,2,5,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,7},{6}}=>[6,1]
[6,7,1,4,3,2,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,7},{6}}=>[6,1]
[6,7,1,4,3,5,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,7},{6}}=>[6,1]
[6,7,1,4,5,2,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,7},{6}}=>[6,1]
[6,7,1,4,5,3,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,7},{6}}=>[6,1]
[6,7,1,5,2,3,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,7},{6}}=>[6,1]
[6,7,1,5,2,4,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,7},{6}}=>[6,1]
[6,7,1,5,3,2,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,7},{6}}=>[6,1]
[6,7,1,5,3,4,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,7},{6}}=>[6,1]
[6,7,1,5,4,2,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,7},{6}}=>[6,1]
[6,7,1,5,4,3,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,7},{6}}=>[6,1]
[6,7,2,1,3,4,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,7},{6}}=>[6,1]
[6,7,2,1,3,5,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,7},{6}}=>[6,1]
[6,7,2,1,4,3,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,7},{6}}=>[6,1]
[6,7,2,1,4,5,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,7},{6}}=>[6,1]
[6,7,2,1,5,3,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,7},{6}}=>[6,1]
[6,7,2,1,5,4,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,7},{6}}=>[6,1]
[6,7,2,3,1,4,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,7},{6}}=>[6,1]
[6,7,2,3,1,5,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,7},{6}}=>[6,1]
[6,7,2,3,4,1,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,7},{6}}=>[6,1]
[6,7,2,3,4,5,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,7},{6}}=>[6,1]
[6,7,2,3,5,1,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,7},{6}}=>[6,1]
[6,7,2,3,5,4,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,7},{6}}=>[6,1]
[6,7,2,4,1,3,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,7},{6}}=>[6,1]
[6,7,2,4,1,5,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,7},{6}}=>[6,1]
[6,7,2,4,3,1,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,7},{6}}=>[6,1]
[6,7,2,4,3,5,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,7},{6}}=>[6,1]
[6,7,2,4,5,1,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,7},{6}}=>[6,1]
[6,7,2,4,5,3,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,7},{6}}=>[6,1]
[6,7,2,5,1,3,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,7},{6}}=>[6,1]
[6,7,2,5,1,4,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,7},{6}}=>[6,1]
[6,7,2,5,3,1,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,7},{6}}=>[6,1]
[6,7,2,5,3,4,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,7},{6}}=>[6,1]
[6,7,2,5,4,1,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,7},{6}}=>[6,1]
[6,7,2,5,4,3,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,7},{6}}=>[6,1]
[6,7,3,1,2,4,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,7},{6}}=>[6,1]
[6,7,3,1,2,5,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,7},{6}}=>[6,1]
[6,7,3,1,4,2,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,7},{6}}=>[6,1]
[6,7,3,1,4,5,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,7},{6}}=>[6,1]
[6,7,3,1,5,2,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,7},{6}}=>[6,1]
[6,7,3,1,5,4,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,7},{6}}=>[6,1]
[6,7,3,2,1,4,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,7},{6}}=>[6,1]
[6,7,3,2,1,5,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,7},{6}}=>[6,1]
[6,7,3,2,4,1,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,7},{6}}=>[6,1]
[6,7,3,2,4,5,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,7},{6}}=>[6,1]
[6,7,3,2,5,1,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,7},{6}}=>[6,1]
[6,7,3,2,5,4,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,7},{6}}=>[6,1]
[6,7,3,4,1,2,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,7},{6}}=>[6,1]
[6,7,3,4,1,5,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,7},{6}}=>[6,1]
[6,7,3,4,2,1,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,7},{6}}=>[6,1]
[6,7,3,4,2,5,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,7},{6}}=>[6,1]
[6,7,3,4,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,7},{6}}=>[6,1]
[6,7,3,4,5,2,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,7},{6}}=>[6,1]
[6,7,3,5,1,2,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,7},{6}}=>[6,1]
[6,7,3,5,1,4,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,7},{6}}=>[6,1]
[6,7,3,5,2,1,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,7},{6}}=>[6,1]
[6,7,3,5,2,4,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,7},{6}}=>[6,1]
[6,7,3,5,4,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,7},{6}}=>[6,1]
[6,7,3,5,4,2,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,7},{6}}=>[6,1]
[6,7,4,1,2,3,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,7},{6}}=>[6,1]
[6,7,4,1,2,5,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,7},{6}}=>[6,1]
[6,7,4,1,3,2,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,7},{6}}=>[6,1]
[6,7,4,1,3,5,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,7},{6}}=>[6,1]
[6,7,4,1,5,2,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,7},{6}}=>[6,1]
[6,7,4,1,5,3,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,7},{6}}=>[6,1]
[6,7,4,2,1,3,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,7},{6}}=>[6,1]
[6,7,4,2,1,5,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,7},{6}}=>[6,1]
[6,7,4,2,3,1,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,7},{6}}=>[6,1]
[6,7,4,2,3,5,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,7},{6}}=>[6,1]
[6,7,4,2,5,1,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,7},{6}}=>[6,1]
[6,7,4,2,5,3,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,7},{6}}=>[6,1]
[6,7,4,3,1,2,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,7},{6}}=>[6,1]
[6,7,4,3,1,5,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,7},{6}}=>[6,1]
[6,7,4,3,2,1,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,7},{6}}=>[6,1]
[6,7,4,3,2,5,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,7},{6}}=>[6,1]
[6,7,4,3,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,7},{6}}=>[6,1]
[6,7,4,3,5,2,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,7},{6}}=>[6,1]
[6,7,4,5,1,2,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,7},{6}}=>[6,1]
[6,7,4,5,1,3,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,7},{6}}=>[6,1]
[6,7,4,5,2,1,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,7},{6}}=>[6,1]
[6,7,4,5,2,3,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,7},{6}}=>[6,1]
[6,7,4,5,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,7},{6}}=>[6,1]
[6,7,4,5,3,2,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,7},{6}}=>[6,1]
[6,7,5,1,2,3,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,7},{6}}=>[6,1]
[6,7,5,1,2,4,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,7},{6}}=>[6,1]
[6,7,5,1,3,2,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,7},{6}}=>[6,1]
[6,7,5,1,3,4,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,7},{6}}=>[6,1]
[6,7,5,1,4,2,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,7},{6}}=>[6,1]
[6,7,5,1,4,3,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,7},{6}}=>[6,1]
[6,7,5,2,1,3,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,7},{6}}=>[6,1]
[6,7,5,2,1,4,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,7},{6}}=>[6,1]
[6,7,5,2,3,1,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,7},{6}}=>[6,1]
[6,7,5,2,3,4,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,7},{6}}=>[6,1]
[6,7,5,2,4,1,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,7},{6}}=>[6,1]
[6,7,5,2,4,3,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,7},{6}}=>[6,1]
[6,7,5,3,1,2,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,7},{6}}=>[6,1]
[6,7,5,3,1,4,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,7},{6}}=>[6,1]
[6,7,5,3,2,1,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,7},{6}}=>[6,1]
[6,7,5,3,2,4,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,7},{6}}=>[6,1]
[6,7,5,3,4,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,7},{6}}=>[6,1]
[6,7,5,3,4,2,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,7},{6}}=>[6,1]
[6,7,5,4,1,2,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,7},{6}}=>[6,1]
[6,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,7},{6}}=>[6,1]
[6,7,5,4,2,1,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,7},{6}}=>[6,1]
[6,7,5,4,2,3,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,7},{6}}=>[6,1]
[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,7},{6}}=>[6,1]
[6,7,5,4,3,2,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,7},{6}}=>[6,1]
[7,1,2,3,4,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,1,2,3,4,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,1,2,3,5,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,1,2,3,5,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,1,2,3,6,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,1,2,3,6,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,1,2,4,3,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,1,2,4,3,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,1,2,4,5,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,1,2,4,5,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,1,2,4,6,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,1,2,4,6,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,1,2,5,3,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,1,2,5,3,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,1,2,5,4,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,1,2,5,4,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,1,2,5,6,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,1,2,5,6,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,1,2,6,3,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,1,2,6,3,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,1,2,6,4,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,1,2,6,4,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,1,2,6,5,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,1,2,6,5,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,1,3,2,4,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,1,3,2,4,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,1,3,2,5,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,1,3,2,5,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,1,3,2,6,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,1,3,2,6,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,1,3,4,2,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,1,3,4,2,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,1,3,4,5,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,1,3,4,5,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,1,3,4,6,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,1,3,4,6,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,1,3,5,2,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,1,3,5,2,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,1,3,5,4,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,1,3,5,4,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,1,3,5,6,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,1,3,5,6,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,1,3,6,2,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,1,3,6,2,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,1,3,6,4,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,1,3,6,4,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,1,3,6,5,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,1,3,6,5,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,1,4,2,3,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,1,4,2,3,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,1,4,2,5,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,1,4,2,5,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,1,4,2,6,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,1,4,2,6,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,1,4,3,2,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,1,4,3,2,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,1,4,3,5,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,1,4,3,5,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,1,4,3,6,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,1,4,3,6,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,1,4,5,2,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,1,4,5,2,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,1,4,5,3,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,1,4,5,3,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,1,4,5,6,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,1,4,5,6,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,1,4,6,2,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,1,4,6,2,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,1,4,6,3,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,1,4,6,3,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,1,4,6,5,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,1,4,6,5,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,1,5,2,3,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,1,5,2,3,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,1,5,2,4,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,1,5,2,4,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,1,5,2,6,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,1,5,2,6,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,1,5,3,2,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,1,5,3,2,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,1,5,3,4,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,1,5,3,4,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,1,5,3,6,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,1,5,3,6,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,1,5,4,2,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,1,5,4,2,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,1,5,4,3,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,1,5,4,3,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,1,5,4,6,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,1,5,4,6,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,1,5,6,2,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,1,5,6,2,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,1,5,6,3,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,1,5,6,3,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,1,5,6,4,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,1,5,6,4,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,1,6,2,3,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,1,6,2,3,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,1,6,2,4,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,1,6,2,4,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,1,6,2,5,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,1,6,2,5,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,1,6,3,2,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,1,6,3,2,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,1,6,3,4,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,1,6,3,4,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,1,6,3,5,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,1,6,3,5,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,1,6,4,2,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,1,6,4,2,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,1,6,4,3,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,1,6,4,3,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,1,6,4,5,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,1,6,4,5,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,1,6,5,2,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,1,6,5,2,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,1,6,5,3,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,1,6,5,3,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,1,6,5,4,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,1,6,5,4,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,2,1,3,4,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,2,1,3,4,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,2,1,3,5,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,2,1,3,5,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,2,1,3,6,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,2,1,3,6,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,2,1,4,3,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,2,1,4,3,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,2,1,4,5,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,2,1,4,5,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,2,1,4,6,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,2,1,4,6,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,2,1,5,3,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,2,1,5,3,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,2,1,5,4,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,2,1,5,4,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,2,1,5,6,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,2,1,5,6,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,2,1,6,3,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,2,1,6,3,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,2,1,6,4,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,2,1,6,4,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,2,1,6,5,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,2,1,6,5,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,2,3,1,4,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,2,3,1,4,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,2,3,1,5,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,2,3,1,5,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,2,3,1,6,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,2,3,1,6,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,2,3,4,1,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,2,3,4,1,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,2,3,4,5,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,2,3,4,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,2,3,4,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,2,3,4,6,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,2,3,5,1,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,2,3,5,1,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,2,3,5,4,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,2,3,5,4,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,2,3,5,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,2,3,5,6,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,2,3,6,1,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,2,3,6,1,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,2,3,6,4,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,2,3,6,4,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,2,3,6,5,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,2,3,6,5,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,2,4,1,3,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,2,4,1,3,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,2,4,1,5,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,2,4,1,5,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,2,4,1,6,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,2,4,1,6,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,2,4,3,1,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,2,4,3,1,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,2,4,3,5,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,2,4,3,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,2,4,3,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,2,4,3,6,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,2,4,5,1,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,2,4,5,1,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,2,4,5,3,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,2,4,5,3,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,2,4,5,6,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,2,4,5,6,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,2,4,6,1,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,2,4,6,1,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,2,4,6,3,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,2,4,6,3,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,2,4,6,5,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,2,4,6,5,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,2,5,1,3,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,2,5,1,3,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,2,5,1,4,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,2,5,1,4,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,2,5,1,6,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,2,5,1,6,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,2,5,3,1,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,2,5,3,1,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,2,5,3,4,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,2,5,3,4,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,2,5,3,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,2,5,3,6,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,2,5,4,1,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,2,5,4,1,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,2,5,4,3,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,2,5,4,3,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,2,5,4,6,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,2,5,4,6,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,2,5,6,1,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,2,5,6,1,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,2,5,6,3,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,2,5,6,3,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,2,5,6,4,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,2,5,6,4,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,2,6,1,3,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,2,6,1,3,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,2,6,1,4,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,2,6,1,4,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,2,6,1,5,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,2,6,1,5,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,2,6,3,1,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,2,6,3,1,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,2,6,3,4,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,2,6,3,4,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,2,6,3,5,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,2,6,3,5,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,2,6,4,1,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,2,6,4,1,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,2,6,4,3,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,2,6,4,3,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,2,6,4,5,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,2,6,4,5,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,2,6,5,1,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,2,6,5,1,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,2,6,5,3,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,2,6,5,3,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,2,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,2,6,5,4,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,3,1,2,4,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,3,1,2,4,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,3,1,2,5,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,3,1,2,5,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,3,1,2,6,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,3,1,2,6,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,3,1,4,2,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,3,1,4,2,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,3,1,4,5,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,3,1,4,5,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,3,1,4,6,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,3,1,4,6,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,3,1,5,2,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,3,1,5,2,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,3,1,5,4,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,3,1,5,4,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,3,1,5,6,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,3,1,5,6,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,3,1,6,2,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,3,1,6,2,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,3,1,6,4,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,3,1,6,4,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,3,1,6,5,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,3,1,6,5,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,3,2,1,4,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,3,2,1,4,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,3,2,1,5,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,3,2,1,5,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,3,2,1,6,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,3,2,1,6,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,3,2,4,1,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,3,2,4,1,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,3,2,4,5,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,3,2,4,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,3,2,4,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,3,2,4,6,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,3,2,5,1,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,3,2,5,1,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,3,2,5,4,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,3,2,5,4,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,3,2,5,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,3,2,5,6,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,3,2,6,1,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,3,2,6,1,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,3,2,6,4,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,3,2,6,4,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,3,2,6,5,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,3,2,6,5,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,3,4,1,2,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,3,4,1,2,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,3,4,1,5,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,3,4,1,5,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,3,4,1,6,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,3,4,1,6,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,3,4,2,1,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,3,4,2,1,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,3,4,2,5,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,3,4,2,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,3,4,2,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,3,4,2,6,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,3,4,5,1,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,3,4,5,1,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,3,4,5,2,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,3,4,5,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,3,4,5,6,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,3,4,5,6,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,3,4,6,1,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,3,4,6,1,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,3,4,6,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,3,4,6,2,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,3,4,6,5,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,3,4,6,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,3,5,1,2,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,3,5,1,2,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,3,5,1,4,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,3,5,1,4,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,3,5,1,6,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,3,5,1,6,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,3,5,2,1,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,3,5,2,1,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,3,5,2,4,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,3,5,2,4,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,3,5,2,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,3,5,2,6,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,3,5,4,1,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,3,5,4,1,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,3,5,4,2,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,3,5,4,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,3,5,4,6,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,3,5,4,6,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,3,5,6,1,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,3,5,6,1,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,3,5,6,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,3,5,6,2,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,3,5,6,4,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,3,5,6,4,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,3,6,1,2,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,3,6,1,2,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,3,6,1,4,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,3,6,1,4,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,3,6,1,5,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,3,6,1,5,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,3,6,2,1,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,3,6,2,1,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,3,6,2,4,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,3,6,2,4,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,3,6,2,5,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,3,6,2,5,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,3,6,4,1,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,3,6,4,1,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,3,6,4,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,3,6,4,2,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,3,6,4,5,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,3,6,4,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,3,6,5,1,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,3,6,5,1,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,3,6,5,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,3,6,5,2,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,3,6,5,4,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,4,1,2,3,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,4,1,2,3,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,4,1,2,5,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,4,1,2,5,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,4,1,2,6,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,4,1,2,6,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,4,1,3,2,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,4,1,3,2,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,4,1,3,5,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,4,1,3,5,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,4,1,3,6,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,4,1,3,6,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,4,1,5,2,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,4,1,5,2,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,4,1,5,3,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,4,1,5,3,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,4,1,5,6,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,4,1,5,6,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,4,1,6,2,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,4,1,6,2,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,4,1,6,3,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,4,1,6,3,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,4,1,6,5,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,4,1,6,5,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,4,2,1,3,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,4,2,1,3,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,4,2,1,5,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,4,2,1,5,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,4,2,1,6,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,4,2,1,6,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,4,2,3,1,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,4,2,3,1,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,4,2,3,5,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,4,2,3,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,4,2,3,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,4,2,3,6,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,4,2,5,1,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,4,2,5,1,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,4,2,5,3,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,4,2,5,3,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,4,2,5,6,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,4,2,5,6,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,4,2,6,1,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,4,2,6,1,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,4,2,6,3,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,4,2,6,3,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,4,2,6,5,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,4,2,6,5,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,4,3,1,2,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,4,3,1,2,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,4,3,1,5,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,4,3,1,5,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,4,3,1,6,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,4,3,1,6,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,4,3,2,1,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,4,3,2,1,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,4,3,2,5,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,4,3,2,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,4,3,2,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,4,3,2,6,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,4,3,5,1,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,4,3,5,1,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,4,3,5,2,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,4,3,5,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,4,3,5,6,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,4,3,5,6,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,4,3,6,1,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,4,3,6,1,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,4,3,6,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,4,3,6,2,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,4,3,6,5,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,4,3,6,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,4,5,1,2,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,4,5,1,2,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,4,5,1,3,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,4,5,1,3,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,4,5,1,6,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,4,5,1,6,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,4,5,2,1,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,4,5,2,1,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,4,5,2,3,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,4,5,2,3,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,4,5,2,6,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,4,5,2,6,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,4,5,3,1,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,4,5,3,1,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,4,5,3,2,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,4,5,3,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,4,5,3,6,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,4,5,3,6,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,4,5,6,1,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,4,5,6,1,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,4,5,6,2,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,4,5,6,2,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,4,5,6,3,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,4,5,6,3,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,4,6,1,2,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,4,6,1,2,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,4,6,1,3,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,4,6,1,3,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,4,6,1,5,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,4,6,1,5,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,4,6,2,1,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,4,6,2,1,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,4,6,2,3,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,4,6,2,3,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,4,6,2,5,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,4,6,2,5,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,4,6,3,1,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,4,6,3,1,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,4,6,3,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,4,6,3,2,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,4,6,3,5,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,4,6,3,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,4,6,5,1,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,4,6,5,1,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,4,6,5,2,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,4,6,5,2,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,4,6,5,3,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,4,6,5,3,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,5,1,2,3,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,5,1,2,3,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,5,1,2,4,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,5,1,2,4,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,5,1,2,6,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,5,1,2,6,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,5,1,3,2,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,5,1,3,2,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,5,1,3,4,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,5,1,3,4,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,5,1,3,6,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,5,1,3,6,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,5,1,4,2,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,5,1,4,2,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,5,1,4,3,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,5,1,4,3,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,5,1,4,6,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,5,1,4,6,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,5,1,6,2,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,5,1,6,2,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,5,1,6,3,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,5,1,6,3,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,5,1,6,4,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,5,1,6,4,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,5,2,1,3,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,5,2,1,3,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,5,2,1,4,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,5,2,1,4,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,5,2,1,6,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,5,2,1,6,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,5,2,3,1,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,5,2,3,1,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,5,2,3,4,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,5,2,3,4,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,5,2,3,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,5,2,3,6,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,5,2,4,1,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,5,2,4,1,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,5,2,4,3,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,5,2,4,3,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,5,2,4,6,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,5,2,4,6,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,5,2,6,1,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,5,2,6,1,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,5,2,6,3,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,5,2,6,3,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,5,2,6,4,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,5,2,6,4,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,5,3,1,2,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,5,3,1,2,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,5,3,1,4,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,5,3,1,4,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,5,3,1,6,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,5,3,1,6,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,5,3,2,1,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,5,3,2,1,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,5,3,2,4,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,5,3,2,4,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,5,3,2,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,5,3,2,6,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,5,3,4,1,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,5,3,4,1,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,5,3,4,2,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,5,3,4,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,5,3,4,6,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,5,3,4,6,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,5,3,6,1,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,5,3,6,1,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,5,3,6,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,5,3,6,2,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,5,3,6,4,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,5,3,6,4,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,5,4,1,2,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,5,4,1,2,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,5,4,1,3,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,5,4,1,3,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,5,4,1,6,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,5,4,1,6,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,5,4,2,1,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,5,4,2,1,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,5,4,2,3,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,5,4,2,3,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,5,4,2,6,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,5,4,2,6,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,5,4,3,1,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,5,4,3,1,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,5,4,3,2,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,5,4,3,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,5,4,3,6,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,5,4,6,1,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,5,4,6,1,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,5,4,6,2,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,5,4,6,2,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,5,4,6,3,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,5,4,6,3,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,5,6,1,2,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,5,6,1,2,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,5,6,1,3,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,5,6,1,3,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,5,6,1,4,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,5,6,1,4,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,5,6,2,1,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,5,6,2,1,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,5,6,2,3,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,5,6,2,3,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,5,6,2,4,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,5,6,2,4,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,5,6,3,1,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,5,6,3,1,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,5,6,3,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,5,6,3,2,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,5,6,3,4,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,5,6,3,4,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,5,6,4,1,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,5,6,4,1,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,5,6,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,5,6,4,2,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,5,6,4,3,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,5,6,4,3,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,6,1,2,3,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,6,1,2,3,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,6,1,2,4,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,6,1,2,4,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,6,1,2,5,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,6,1,2,5,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,6,1,3,2,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,6,1,3,2,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,6,1,3,4,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,6,1,3,4,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,6,1,3,5,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,6,1,3,5,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,6,1,4,2,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,6,1,4,2,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,6,1,4,3,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,6,1,4,3,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,6,1,4,5,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,6,1,4,5,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,6,1,5,2,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,6,1,5,2,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,6,1,5,3,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,6,1,5,3,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,6,1,5,4,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,6,1,5,4,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,6,2,1,3,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,6,2,1,3,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,6,2,1,4,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,6,2,1,4,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,6,2,1,5,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,6,2,1,5,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,6,2,3,1,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,6,2,3,1,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,6,2,3,4,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,6,2,3,4,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,6,2,3,5,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,6,2,3,5,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,6,2,4,1,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,6,2,4,1,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,6,2,4,3,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,6,2,4,3,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,6,2,4,5,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,6,2,4,5,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,6,2,5,1,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,6,2,5,1,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,6,2,5,3,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,6,2,5,3,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,6,2,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,6,2,5,4,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,6,3,1,2,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,6,3,1,2,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,6,3,1,4,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,6,3,1,4,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,6,3,1,5,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,6,3,1,5,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,6,3,2,1,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,6,3,2,1,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,6,3,2,4,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,6,3,2,4,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,6,3,2,5,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,6,3,2,5,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,6,3,4,1,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,6,3,4,1,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,6,3,4,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,6,3,4,2,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,6,3,4,5,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,6,3,4,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,6,3,5,1,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,6,3,5,1,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,6,3,5,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,6,3,5,2,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,6,3,5,4,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,6,3,5,4,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,6,4,1,2,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,6,4,1,2,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,6,4,1,3,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,6,4,1,3,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,6,4,1,5,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,6,4,1,5,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,6,4,2,1,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,6,4,2,1,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,6,4,2,3,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,6,4,2,3,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,6,4,2,5,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,6,4,2,5,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,6,4,3,1,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,6,4,3,1,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,6,4,3,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,6,4,3,2,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,6,4,3,5,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,6,4,3,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,6,4,5,1,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,6,4,5,1,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,6,4,5,2,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,6,4,5,2,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,6,4,5,3,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,6,5,1,2,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,6,5,1,2,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,6,5,1,3,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,6,5,1,3,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,6,5,1,4,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,6,5,1,4,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,6,5,2,1,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,6,5,2,1,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,6,5,2,3,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,6,5,2,3,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,6,5,2,4,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,6,5,2,4,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,6,5,3,1,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,6,5,3,1,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,6,5,3,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,6,5,3,2,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,6,5,3,4,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,6,5,3,4,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,6,5,4,1,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,6,5,4,1,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,6,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,6,5,4,2,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7}}=>[7]
[8,7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,8,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[8,6,7,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,6,8,5,4,3,2,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[8,7,5,6,4,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,8,5,6,4,3,2,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[8,6,5,7,4,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,6,7,4,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,6,5,8,4,3,2,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[6,7,5,8,4,3,2,1]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,7},{6}}=>[5,2,1]
[7,5,6,8,4,3,2,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[8,7,6,4,5,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,7,4,5,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,6,8,4,5,3,2,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[8,7,5,4,6,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,5,4,7,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,6,4,7,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,4,5,7,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,6,5,4,8,3,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[6,7,5,4,8,3,2,1]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,7},{6}}=>[4,3,1]
[7,5,6,4,8,3,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[6,5,7,4,8,3,2,1]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,7},{5,6}}=>[4,2,2]
[7,6,4,5,8,3,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[6,7,4,5,8,3,2,1]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,7},{6}}=>[4,3,1]
[7,5,4,6,8,3,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[7,4,5,6,8,3,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[6,5,4,7,8,3,2,1]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6},{7}}=>[4,3,1]
[6,4,5,7,8,3,2,1]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6},{7}}=>[4,3,1]
[8,7,6,5,3,4,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,8,6,5,3,4,2,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,6,8,5,3,4,2,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[8,7,5,6,3,4,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,8,5,6,3,4,2,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[8,5,6,7,3,4,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,6,5,8,3,4,2,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[6,7,5,8,3,4,2,1]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,7},{6}}=>[5,2,1]
[8,7,6,4,3,5,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,8,6,4,3,5,2,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,6,8,4,3,5,2,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[8,7,6,3,4,5,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,8,6,3,4,5,2,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[8,6,7,3,4,5,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,6,8,3,4,5,2,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[8,7,5,4,3,6,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,8,5,4,3,6,2,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,8,5,3,4,6,2,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[8,7,4,3,5,6,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,3,4,5,6,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,4,5,7,3,8,2,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>{{1,2,8},{3,7},{4,5,6}}=>[3,3,2]
[8,7,6,5,4,2,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,7,5,4,2,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,6,8,5,4,2,3,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[8,5,6,7,4,2,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,6,5,8,4,2,3,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[6,7,5,8,4,2,3,1]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,7},{6}}=>[5,2,1]
[7,5,6,8,4,2,3,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[8,7,6,4,5,2,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,7,4,5,2,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,6,8,4,5,2,3,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[8,7,5,4,6,2,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,4,5,6,2,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,5,4,7,2,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,6,4,7,2,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,4,5,7,2,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,5,6,4,8,2,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[6,5,7,4,8,2,3,1]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,7},{5,6}}=>[4,2,2]
[8,7,6,5,3,2,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,8,6,5,3,2,4,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[8,6,7,5,3,2,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,6,8,5,3,2,4,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[8,6,5,7,3,2,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,6,7,3,2,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,6,5,8,3,2,4,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[6,7,5,8,3,2,4,1]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,7},{6}}=>[5,2,1]
[8,7,6,5,2,3,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,7,5,2,3,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,6,8,5,2,3,4,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[8,7,5,6,2,3,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,8,5,6,2,3,4,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[8,6,5,7,2,3,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,6,7,2,3,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,6,5,8,2,3,4,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[6,7,5,8,2,3,4,1]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,7},{6}}=>[5,2,1]
[8,7,6,4,3,2,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,8,6,4,3,2,5,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[8,6,7,4,3,2,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,6,8,4,3,2,5,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[8,7,6,3,4,2,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,7,3,4,2,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,6,8,3,4,2,5,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,6,8,4,2,3,5,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[8,6,7,3,2,4,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,6,2,3,4,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,8,6,2,3,4,5,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[8,6,7,2,3,4,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,6,8,2,3,4,5,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[8,7,5,3,4,2,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,8,5,3,4,2,6,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,8,4,3,5,2,6,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[8,7,5,3,2,4,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,8,4,3,2,5,6,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,8,3,4,2,5,6,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,8,3,2,4,5,6,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[8,6,5,4,3,2,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,6,3,4,2,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,4,3,5,2,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,3,4,5,2,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,4,5,3,6,2,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,6,4,2,3,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,4,2,3,5,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,3,4,2,6,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,4,2,3,6,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,4,5,6,3,2,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[7,5,6,3,4,2,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[7,4,5,3,6,2,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[5,4,6,3,7,2,8,1]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>{{1,8},{2,7},{3,6},{4,5}}=>[2,2,2,2]
[5,6,3,4,7,2,8,1]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0]=>{{1,8},{2,7},{3,4,6},{5}}=>[3,2,2,1]
[7,5,6,4,2,3,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[7,4,5,6,2,3,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[5,6,4,7,2,3,8,1]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>{{1,8},{2,3,7},{4,6},{5}}=>[3,2,2,1]
[7,6,5,2,3,4,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[7,6,4,2,3,5,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[7,5,2,3,4,6,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[8,7,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[8,7,5,6,4,3,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,8,5,6,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,6,5,8,4,3,1,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[6,7,5,8,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,7},{6}}=>[5,2,1]
[7,5,6,8,4,3,1,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[8,6,7,4,5,3,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,5,4,6,3,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,8,4,5,6,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[8,5,6,4,7,3,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,5,7,4,8,3,1,2]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,7},{5,6}}=>[4,2,2]
[7,6,4,5,8,3,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[6,7,4,5,8,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,7},{6}}=>[4,3,1]
[8,7,6,5,3,4,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,8,6,5,3,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[8,7,5,6,3,4,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,8,5,6,3,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[8,5,6,7,3,4,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,6,5,8,3,4,1,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[6,7,5,8,3,4,1,2]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,7},{6}}=>[5,2,1]
[7,5,6,8,3,4,1,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[8,7,6,3,4,5,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,8,6,3,4,5,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[8,7,4,5,3,6,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,8,4,5,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,8,5,3,4,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[8,7,4,3,5,6,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,8,4,3,5,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,8,3,4,5,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[8,5,4,6,3,7,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,4,3,6,7,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,3,4,6,7,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,4,3,5,6,7,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,7,4,5,3,8,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>{{1,2,8},{3,4,5,7},{6}}=>[4,3,1]
[6,5,4,7,3,8,1,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>{{1,2,8},{3,7},{4,5,6}}=>[3,3,2]
[5,6,4,7,3,8,1,2]=>[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>{{1,2,8},{3,7},{4,6},{5}}=>[3,2,2,1]
[8,7,6,5,4,2,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[8,7,5,6,4,2,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,8,5,6,4,2,1,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,6,5,8,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[6,7,5,8,4,2,1,3]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,7},{6}}=>[5,2,1]
[7,5,6,8,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[7,6,8,4,5,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[8,7,4,5,6,2,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,7,5,4,8,2,1,3]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,7},{6}}=>[4,3,1]
[7,5,6,4,8,2,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[7,6,4,5,8,2,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[8,7,6,5,4,1,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,8,5,6,4,1,2,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[8,5,6,7,4,1,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,6,5,8,4,1,2,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[6,7,5,8,4,1,2,3]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,7},{6}}=>[5,2,1]
[7,5,6,8,4,1,2,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[8,6,7,4,5,1,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,5,4,6,1,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,5,4,7,1,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,6,4,7,1,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,4,5,7,1,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,6,5,4,8,1,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[6,7,5,4,8,1,2,3]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,7},{6}}=>[4,3,1]
[7,5,6,4,8,1,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[6,5,7,4,8,1,2,3]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,7},{5,6}}=>[4,2,2]
[7,6,4,5,8,1,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[6,7,4,5,8,1,2,3]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,7},{6}}=>[4,3,1]
[7,5,4,6,8,1,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[7,4,5,6,8,1,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[6,5,4,7,8,1,2,3]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6},{7}}=>[4,3,1]
[6,4,5,7,8,1,2,3]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6},{7}}=>[4,3,1]
[8,7,6,5,3,2,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,8,6,5,3,2,1,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[8,6,7,5,3,2,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,6,8,5,3,2,1,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[8,7,5,6,3,2,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,8,5,6,3,2,1,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[8,6,5,7,3,2,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,6,7,3,2,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[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]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[6,7,5,8,3,2,1,4]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,7},{6}}=>[5,2,1]
[7,5,6,8,3,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[8,7,6,5,2,3,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,8,6,5,2,3,1,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[8,6,7,5,2,3,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,6,8,5,2,3,1,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[8,7,5,6,2,3,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,8,5,6,2,3,1,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[8,6,5,7,2,3,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,6,7,2,3,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,6,5,8,2,3,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[6,7,5,8,2,3,1,4]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,7},{6}}=>[5,2,1]
[7,5,6,8,2,3,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[8,7,6,5,3,1,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,8,6,5,3,1,2,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,8,5,6,3,1,2,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,6,5,8,3,1,2,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[6,7,5,8,3,1,2,4]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,7},{6}}=>[5,2,1]
[7,5,6,8,3,1,2,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[8,7,6,5,2,1,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,8,6,5,2,1,3,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,6,8,5,2,1,3,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,8,5,6,2,1,3,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[8,6,5,7,2,1,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,6,7,2,1,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,6,5,8,2,1,3,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[6,7,5,8,2,1,3,4]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,7},{6}}=>[5,2,1]
[7,5,6,8,2,1,3,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[8,7,6,5,1,2,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,8,6,5,1,2,3,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[8,6,7,5,1,2,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,6,8,5,1,2,3,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[8,7,5,6,1,2,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,8,5,6,1,2,3,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[8,6,5,7,1,2,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,6,7,1,2,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,6,5,8,1,2,3,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[6,7,5,8,1,2,3,4]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,7},{6}}=>[5,2,1]
[7,5,6,8,1,2,3,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[8,7,6,4,3,2,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,8,6,4,3,2,1,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[8,6,7,4,3,2,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,6,8,4,3,2,1,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[8,7,6,3,4,2,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,8,6,3,4,2,1,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[8,7,6,4,2,3,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,6,8,4,2,3,1,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[8,7,6,3,2,4,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,7,3,2,4,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,6,2,3,4,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,6,4,3,1,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,6,3,4,1,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,6,4,2,1,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,8,6,4,2,1,3,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[8,6,7,4,2,1,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,6,4,1,2,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,8,6,4,1,2,3,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,6,8,4,1,2,3,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[8,7,6,3,2,1,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,6,8,3,2,1,4,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[8,7,6,2,3,1,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,6,8,2,3,1,4,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[8,7,6,3,1,2,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,8,6,3,1,2,4,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[8,7,6,2,1,3,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,8,6,2,1,3,4,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[8,7,6,1,2,3,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,8,6,1,2,3,4,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[8,6,7,1,2,3,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,6,8,1,2,3,4,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[8,7,5,4,3,2,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,8,5,4,3,2,1,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[8,7,5,3,4,2,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,3,4,5,2,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,8,3,4,5,2,1,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[8,7,4,5,2,3,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,8,4,5,2,3,1,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[8,7,5,3,2,4,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,4,3,2,5,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,8,4,3,2,5,1,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[8,7,3,4,2,5,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,8,3,4,2,5,1,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[8,7,5,4,3,1,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,8,5,4,3,1,2,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[8,7,5,3,4,1,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,8,5,3,4,1,2,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,8,5,4,2,1,3,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,8,5,4,1,2,3,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[8,7,4,5,1,2,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,5,3,2,1,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,8,5,3,2,1,4,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[8,7,5,2,3,1,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,5,3,1,2,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,8,5,3,1,2,4,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[8,7,5,2,1,3,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,8,5,2,1,3,4,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[8,7,5,1,2,3,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,8,5,1,2,3,4,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[8,7,4,3,2,1,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,8,4,3,2,1,5,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[8,7,3,4,2,1,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,8,3,4,2,1,5,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,8,4,2,3,1,5,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[8,7,3,2,4,1,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,8,3,2,4,1,5,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,8,2,3,4,1,5,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,8,4,3,1,2,5,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[8,7,3,4,1,2,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,8,3,4,1,2,5,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,8,4,2,1,3,5,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,8,4,1,2,3,5,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[8,7,3,2,1,4,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,8,3,2,1,4,5,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,8,2,3,1,4,5,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,8,3,1,2,4,5,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[8,7,2,1,3,4,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,8,2,1,3,4,5,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,8,1,2,3,4,5,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[8,6,5,4,3,2,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,6,4,3,2,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,4,5,6,3,2,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,5,3,4,2,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,6,3,4,2,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,4,5,3,6,2,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,3,4,5,6,2,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,5,4,2,3,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,6,4,2,3,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,5,3,2,4,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,5,2,3,4,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,6,2,3,4,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,4,2,3,5,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,3,2,4,5,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,2,3,4,6,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,5,4,3,1,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,4,5,3,1,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,6,3,4,1,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,3,4,5,1,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,4,5,3,6,1,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,4,3,5,6,1,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,3,4,5,6,1,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,5,4,2,1,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,6,4,2,1,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,6,4,1,2,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,4,5,6,1,2,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,5,3,2,1,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,6,3,2,1,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,5,2,3,1,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,6,2,3,1,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,6,3,1,2,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,5,2,1,3,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,6,2,1,3,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,5,1,2,3,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,6,1,2,3,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,4,3,2,1,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,3,4,2,1,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,4,2,3,1,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,3,2,4,1,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,3,4,1,2,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,4,2,1,3,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,4,1,2,3,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,3,2,1,4,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,4,5,3,2,1,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,4,3,5,2,1,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,3,4,5,2,1,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,4,5,2,3,1,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,2,3,4,1,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,4,2,3,5,1,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,3,4,1,2,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,4,2,1,3,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,3,2,1,4,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,3,1,2,4,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,1,2,3,4,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,4,3,2,1,5,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,2,3,4,1,5,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,3,4,1,2,5,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,4,2,1,3,5,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,3,2,1,4,5,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,2,3,1,4,5,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,3,1,2,4,5,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,2,3,4,5,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[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]=>{{1,5},{2},{3},{4},{6},{7},{8}}=>[2,1,1,1,1,1,1]
[2,3,1,4,5,6,7,8]=>[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>{{1,3},{2},{4},{5},{6},{7},{8}}=>[2,1,1,1,1,1,1]
[1,2,3,4,5,6,7,8]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>{{1},{2},{3},{4},{5},{6},{7},{8}}=>[1,1,1,1,1,1,1,1]
[6,8,7,5,4,3,2,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[5,8,7,6,4,3,2,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[5,7,8,6,4,3,2,1]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,6,8},{5},{7}}=>[6,1,1]
[4,5,8,7,6,3,2,1]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4},{5}}=>[6,1,1]
[5,4,7,6,8,3,2,1]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5},{6,7}}=>[4,2,2]
[3,8,7,6,5,4,2,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[3,5,8,7,6,4,2,1]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,4,6,7,8},{3},{5}}=>[6,1,1]
[3,5,7,8,6,4,2,1]=>[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>{{1,2,4,6,8},{3},{5},{7}}=>[5,1,1,1]
[2,8,7,6,5,4,3,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[3,2,8,7,6,5,4,1]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,4,5,6,7,8},{2,3}}=>[6,2]
[4,3,2,8,7,6,5,1]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>{{1,5,6,7,8},{2,3,4}}=>[5,3]
[4,3,2,7,8,6,5,1]=>[1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]=>{{1,5,6,8},{2,3,4},{7}}=>[4,3,1]
[2,3,4,8,7,6,5,1]=>[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>{{1,5,6,7,8},{2},{3},{4}}=>[5,1,1,1]
[5,4,3,2,8,7,6,1]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>{{1,6,7,8},{2,3,4,5}}=>[4,4]
[4,3,5,2,8,7,6,1]=>[1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0]=>{{1,6,7,8},{2,5},{3,4}}=>[4,2,2]
[4,3,6,5,2,8,7,1]=>[1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0]=>{{1,7,8},{2,5,6},{3,4}}=>[3,3,2]
[5,4,3,6,2,8,7,1]=>[1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0]=>{{1,7,8},{2,6},{3,4,5}}=>[3,3,2]
[4,3,6,5,7,2,8,1]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>{{1,8},{2,7},{3,4},{5,6}}=>[2,2,2,2]
[3,2,6,5,7,4,8,1]=>[1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>{{1,8},{2,3},{4,7},{5,6}}=>[2,2,2,2]
[4,3,5,2,7,6,8,1]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>{{1,8},{2,5},{3,4},{6,7}}=>[2,2,2,2]
[3,2,5,4,7,6,8,1]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>{{1,8},{2,3},{4,5},{6,7}}=>[2,2,2,2]
[2,1,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2},{3,4,5,6,7,8}}=>[6,2]
[2,1,7,8,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>{{1,2},{3,4,5,6,8},{7}}=>[5,2,1]
[2,1,6,8,7,5,4,3]=>[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]=>{{1,2},{3,4,5,7,8},{6}}=>[5,2,1]
[2,1,7,6,8,5,4,3]=>[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>{{1,2},{3,4,5,8},{6,7}}=>[4,2,2]
[2,1,5,8,7,6,4,3]=>[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>{{1,2},{3,4,6,7,8},{5}}=>[5,2,1]
[2,1,5,7,8,6,4,3]=>[1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0]=>{{1,2},{3,4,6,8},{5},{7}}=>[4,2,1,1]
[2,1,7,6,5,8,4,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>{{1,2},{3,4,8},{5,6,7}}=>[3,3,2]
[2,1,4,8,7,6,5,3]=>[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]=>{{1,2},{3,5,6,7,8},{4}}=>[5,2,1]
[2,1,4,7,8,6,5,3]=>[1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0]=>{{1,2},{3,5,6,8},{4},{7}}=>[4,2,1,1]
[2,1,4,5,8,7,6,3]=>[1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0]=>{{1,2},{3,6,7,8},{4},{5}}=>[4,2,1,1]
[2,1,6,5,7,4,8,3]=>[1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]=>{{1,2},{3,8},{4,7},{5,6}}=>[2,2,2,2]
[2,1,5,4,7,6,8,3]=>[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>{{1,2},{3,8},{4,5},{6,7}}=>[2,2,2,2]
[3,2,1,7,6,8,5,4]=>[1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0]=>{{1,2,3},{4,5,8},{6,7}}=>[3,3,2]
[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},{4,5,6,7,8}}=>[5,2,1]
[4,3,2,1,8,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>{{1,2,3,4},{5,6,7,8}}=>[4,4]
[4,3,2,1,7,8,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0]=>{{1,2,3,4},{5,6,8},{7}}=>[4,3,1]
[4,3,2,1,6,8,7,5]=>[1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0]=>{{1,2,3,4},{5,7,8},{6}}=>[4,3,1]
[4,3,2,1,7,6,8,5]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0]=>{{1,2,3,4},{5,8},{6,7}}=>[4,2,2]
[3,4,2,1,8,7,6,5]=>[1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]=>{{1,2,4},{3},{5,6,7,8}}=>[4,3,1]
[3,4,2,1,7,8,6,5]=>[1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0]=>{{1,2,4},{3},{5,6,8},{7}}=>[3,3,1,1]
[2,4,3,1,8,7,6,5]=>[1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0]=>{{1,3,4},{2},{5,6,7,8}}=>[4,3,1]
[2,4,3,1,6,8,7,5]=>[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0]=>{{1,3,4},{2},{5,7,8},{6}}=>[3,3,1,1]
[3,2,4,1,8,7,6,5]=>[1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0]=>{{1,4},{2,3},{5,6,7,8}}=>[4,2,2]
[3,2,4,1,7,6,8,5]=>[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>{{1,4},{2,3},{5,8},{6,7}}=>[2,2,2,2]
[2,1,4,3,8,7,6,5]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>{{1,2},{3,4},{5,6,7,8}}=>[4,2,2]
[2,1,4,3,7,8,6,5]=>[1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0]=>{{1,2},{3,4},{5,6,8},{7}}=>[3,2,2,1]
[2,1,4,3,6,8,7,5]=>[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]=>{{1,2},{3,4},{5,7,8},{6}}=>[3,2,2,1]
[2,1,4,3,7,6,8,5]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>{{1,2},{3,4},{5,8},{6,7}}=>[2,2,2,2]
[5,4,3,2,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>{{1,2,3,4,5},{6,7,8}}=>[5,3]
[6,5,4,3,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>{{1,2,3,4,5,6},{7,8}}=>[6,2]
[5,6,4,3,2,1,8,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>{{1,2,3,4,6},{5},{7,8}}=>[5,2,1]
[4,6,5,3,2,1,8,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]=>{{1,2,3,5,6},{4},{7,8}}=>[5,2,1]
[5,4,6,3,2,1,8,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]=>{{1,2,3,6},{4,5},{7,8}}=>[4,2,2]
[3,6,5,4,2,1,8,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]=>{{1,2,4,5,6},{3},{7,8}}=>[5,2,1]
[3,5,6,4,2,1,8,7]=>[1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0]=>{{1,2,4,6},{3},{5},{7,8}}=>[4,2,1,1]
[5,4,3,6,2,1,8,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0]=>{{1,2,6},{3,4,5},{7,8}}=>[3,3,2]
[2,3,6,5,4,1,8,7]=>[1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0]=>{{1,4,5,6},{2},{3},{7,8}}=>[4,2,1,1]
[4,3,5,2,6,1,8,7]=>[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0]=>{{1,6},{2,5},{3,4},{7,8}}=>[2,2,2,2]
[3,2,5,4,6,1,8,7]=>[1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>{{1,6},{2,3},{4,5},{7,8}}=>[2,2,2,2]
[2,1,6,5,4,3,8,7]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>{{1,2},{3,4,5,6},{7,8}}=>[4,2,2]
[2,1,5,6,4,3,8,7]=>[1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0]=>{{1,2},{3,4,6},{5},{7,8}}=>[3,2,2,1]
[2,1,4,6,5,3,8,7]=>[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0]=>{{1,2},{3,5,6},{4},{7,8}}=>[3,2,2,1]
[2,1,5,4,6,3,8,7]=>[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>{{1,2},{3,6},{4,5},{7,8}}=>[2,2,2,2]
[4,3,2,1,6,5,8,7]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]=>{{1,2,3,4},{5,6},{7,8}}=>[4,2,2]
[3,4,2,1,6,5,8,7]=>[1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0]=>{{1,2,4},{3},{5,6},{7,8}}=>[3,2,2,1]
[2,4,3,1,6,5,8,7]=>[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0]=>{{1,3,4},{2},{5,6},{7,8}}=>[3,2,2,1]
[3,2,4,1,6,5,8,7]=>[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>{{1,4},{2,3},{5,6},{7,8}}=>[2,2,2,2]
[2,1,4,3,6,5,8,7]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>{{1,2},{3,4},{5,6},{7,8}}=>[2,2,2,2]
[2,4,6,7,5,3,1,8]=>[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0]=>{{1,3,5,7},{2},{4},{6},{8}}=>[4,1,1,1,1]
[2,4,5,3,1,6,7,8]=>[1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0]=>{{1,3,5},{2},{4},{6},{7},{8}}=>[3,1,1,1,1,1]
[1,3,2,8,5,7,6,4]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>{{1},{2,3},{4,5,6,7,8}}=>[5,2,1]
[2,1,4,3,8,6,7,5]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>{{1,2},{3,4},{5,6,7,8}}=>[4,2,2]
[2,1,4,5,8,6,7,3]=>[1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0]=>{{1,2},{3,6,7,8},{4},{5}}=>[4,2,1,1]
[2,1,4,8,5,6,7,3]=>[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]=>{{1,2},{3,5,6,7,8},{4}}=>[5,2,1]
[2,1,4,8,5,7,6,3]=>[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]=>{{1,2},{3,5,6,7,8},{4}}=>[5,2,1]
[2,1,4,8,6,5,7,3]=>[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]=>{{1,2},{3,5,6,7,8},{4}}=>[5,2,1]
[2,1,4,8,6,7,5,3]=>[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]=>{{1,2},{3,5,6,7,8},{4}}=>[5,2,1]
[2,1,5,4,8,6,7,3]=>[1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0]=>{{1,2},{3,6,7,8},{4,5}}=>[4,2,2]
[2,1,6,4,5,3,8,7]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>{{1,2},{3,4,5,6},{7,8}}=>[4,2,2]
[2,1,8,4,5,6,7,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2},{3,4,5,6,7,8}}=>[6,2]
[2,1,8,4,5,7,6,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2},{3,4,5,6,7,8}}=>[6,2]
[2,1,8,4,6,5,7,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2},{3,4,5,6,7,8}}=>[6,2]
[2,1,8,4,6,7,5,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2},{3,4,5,6,7,8}}=>[6,2]
[2,1,8,4,7,6,5,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2},{3,4,5,6,7,8}}=>[6,2]
[2,1,8,5,4,6,7,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2},{3,4,5,6,7,8}}=>[6,2]
[2,1,8,5,4,7,6,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2},{3,4,5,6,7,8}}=>[6,2]
[2,1,8,5,6,4,7,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2},{3,4,5,6,7,8}}=>[6,2]
[2,1,8,5,7,6,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2},{3,4,5,6,7,8}}=>[6,2]
[2,1,8,7,5,6,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2},{3,4,5,6,7,8}}=>[6,2]
[2,3,4,8,5,6,7,1]=>[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>{{1,5,6,7,8},{2},{3},{4}}=>[5,1,1,1]
[2,3,4,8,5,7,6,1]=>[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>{{1,5,6,7,8},{2},{3},{4}}=>[5,1,1,1]
[2,3,4,8,6,5,7,1]=>[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>{{1,5,6,7,8},{2},{3},{4}}=>[5,1,1,1]
[2,3,4,8,6,7,5,1]=>[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>{{1,5,6,7,8},{2},{3},{4}}=>[5,1,1,1]
[2,3,6,4,5,1,8,7]=>[1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0]=>{{1,4,5,6},{2},{3},{7,8}}=>[4,2,1,1]
[2,4,3,1,8,6,7,5]=>[1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0]=>{{1,3,4},{2},{5,6,7,8}}=>[4,3,1]
[2,8,3,5,7,6,4,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[2,8,3,7,5,6,4,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[2,8,4,3,5,6,7,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[2,8,4,3,7,6,5,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[2,8,5,4,3,6,7,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[2,8,5,4,3,7,6,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[2,8,5,4,7,6,3,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[2,8,7,5,4,6,3,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[2,8,7,5,6,4,3,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[3,2,4,1,8,6,7,5]=>[1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0]=>{{1,4},{2,3},{5,6,7,8}}=>[4,2,2]
[3,2,5,4,8,6,7,1]=>[1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0]=>{{1,6,7,8},{2,3},{4,5}}=>[4,2,2]
[3,2,6,4,5,1,8,7]=>[1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0]=>{{1,4,5,6},{2,3},{7,8}}=>[4,2,2]
[3,2,8,5,4,6,7,1]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,4,5,6,7,8},{2,3}}=>[6,2]
[3,2,8,5,6,4,7,1]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,4,5,6,7,8},{2,3}}=>[6,2]
[3,2,8,5,7,6,4,1]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,4,5,6,7,8},{2,3}}=>[6,2]
[4,2,3,1,6,5,8,7]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]=>{{1,2,3,4},{5,6},{7,8}}=>[4,2,2]
[4,2,3,1,6,8,7,5]=>[1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0]=>{{1,2,3,4},{5,7,8},{6}}=>[4,3,1]
[4,2,3,1,7,6,8,5]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0]=>{{1,2,3,4},{5,8},{6,7}}=>[4,2,2]
[4,2,3,1,8,6,7,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>{{1,2,3,4},{5,6,7,8}}=>[4,4]
[4,2,3,1,8,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>{{1,2,3,4},{5,6,7,8}}=>[4,4]
[4,2,3,8,5,6,7,1]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>{{1,5,6,7,8},{2,3,4}}=>[5,3]
[4,2,3,8,6,7,5,1]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>{{1,5,6,7,8},{2,3,4}}=>[5,3]
[4,2,3,8,7,6,5,1]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>{{1,5,6,7,8},{2,3,4}}=>[5,3]
[5,2,3,4,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>{{1,2,3,4,5},{6,7,8}}=>[5,3]
[5,2,3,4,8,7,6,1]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>{{1,6,7,8},{2,3,4,5}}=>[4,4]
[8,2,3,4,7,6,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,2,3,5,4,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>{{1,2,3,4,5,6},{7,8}}=>[6,2]
[8,2,3,5,4,7,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,2,3,5,6,7,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,2,3,7,5,6,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,2,3,7,6,5,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,2,4,3,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>{{1,2,3,4,5},{6,7,8}}=>[5,3]
[6,2,4,3,5,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>{{1,2,3,4,5,6},{7,8}}=>[6,2]
[7,2,4,3,6,5,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[8,2,4,3,6,5,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,2,4,3,7,6,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,2,4,5,3,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>{{1,2,3,4,5,6},{7,8}}=>[6,2]
[7,2,4,5,3,6,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[8,2,4,7,5,6,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,2,4,7,6,5,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[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]=>{{1,2,3,4,5,6},{7,8}}=>[6,2]
[8,2,5,4,3,7,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,2,6,4,5,3,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,2,6,4,5,7,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,2,7,4,5,6,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,2,7,4,6,5,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,2,6,5,4,3,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,2,7,5,4,6,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,2,7,5,6,4,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,2,7,6,5,4,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[4,3,2,1,8,6,7,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>{{1,2,3,4},{5,6,7,8}}=>[4,4]
[4,3,2,8,5,6,7,1]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>{{1,5,6,7,8},{2,3,4}}=>[5,3]
[4,3,2,8,6,7,5,1]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>{{1,5,6,7,8},{2,3,4}}=>[5,3]
[5,3,2,4,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>{{1,2,3,4,5},{6,7,8}}=>[5,3]
[6,3,2,5,4,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>{{1,2,3,4,5,6},{7,8}}=>[6,2]
[8,3,2,5,4,7,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,3,2,5,6,4,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,3,2,5,7,6,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,3,2,7,5,6,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,3,2,7,6,5,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,3,4,2,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>{{1,2,3,4,5},{6,7,8}}=>[5,3]
[5,3,4,2,8,6,7,1]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>{{1,6,7,8},{2,3,4,5}}=>[4,4]
[6,3,4,2,5,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>{{1,2,3,4,5,6},{7,8}}=>[6,2]
[7,3,4,2,6,5,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[6,3,5,4,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>{{1,2,3,4,5,6},{7,8}}=>[6,2]
[8,3,5,4,2,6,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,3,6,4,5,2,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[8,3,6,4,5,2,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,3,7,4,5,6,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,3,7,5,6,4,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,4,3,2,8,6,7,1]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>{{1,6,7,8},{2,3,4,5}}=>[4,4]
[7,4,3,2,6,5,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[8,4,3,2,6,7,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,4,3,2,7,6,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[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]=>{{1,2,3,4,5,6},{7,8}}=>[6,2]
[8,4,3,5,7,6,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,4,3,6,5,2,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[8,4,3,7,5,6,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,5,3,4,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>{{1,2,3,4,5,6},{7,8}}=>[6,2]
[8,5,3,4,2,7,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,3,4,7,6,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,3,4,6,5,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,3,5,4,2,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,3,5,4,6,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,3,5,6,4,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,3,6,5,4,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,4,3,2,7,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,4,3,7,6,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,4,3,6,5,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[2,4,1,3,6,5,8,7]=>[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0]=>{{1,3,4},{2},{5,6},{7,8}}=>[3,2,2,1]
[2,1,4,6,3,5,8,7]=>[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0]=>{{1,2},{3,5,6},{4},{7,8}}=>[3,2,2,1]
[2,1,4,3,6,8,5,7]=>[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]=>{{1,2},{3,4},{5,7,8},{6}}=>[3,2,2,1]
[2,4,1,3,6,8,5,7]=>[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0]=>{{1,3,4},{2},{5,7,8},{6}}=>[3,3,1,1]
[2,4,6,7,1,3,5,8]=>[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0]=>{{1,3,5,7},{2},{4},{6},{8}}=>[4,1,1,1,1]
[2,1,4,3,7,5,8,6]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>{{1,2},{3,4},{5,8},{6,7}}=>[2,2,2,2]
[2,1,4,3,7,8,5,6]=>[1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0]=>{{1,2},{3,4},{5,6,8},{7}}=>[3,2,2,1]
[2,1,4,3,8,5,6,7]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>{{1,2},{3,4},{5,6,7,8}}=>[4,2,2]
[2,4,1,3,8,5,6,7]=>[1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0]=>{{1,3,4},{2},{5,6,7,8}}=>[4,3,1]
[2,1,4,8,3,5,6,7]=>[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]=>{{1,2},{3,5,6,7,8},{4}}=>[5,2,1]
[2,1,4,5,8,3,6,7]=>[1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0]=>{{1,2},{3,6,7,8},{4},{5}}=>[4,2,1,1]
[2,4,5,6,7,1,3,8]=>[1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0]=>{{1,3,7},{2},{4},{5},{6},{8}}=>[3,1,1,1,1,1]
[2,1,5,3,6,4,8,7]=>[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>{{1,2},{3,6},{4,5},{7,8}}=>[2,2,2,2]
[2,1,5,6,3,4,8,7]=>[1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0]=>{{1,2},{3,4,6},{5},{7,8}}=>[3,2,2,1]
[2,1,5,3,7,4,8,6]=>[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>{{1,2},{3,8},{4,5},{6,7}}=>[2,2,2,2]
[2,1,5,7,8,3,4,6]=>[1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0]=>{{1,2},{3,4,6,8},{5},{7}}=>[4,2,1,1]
[2,1,5,3,8,4,6,7]=>[1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0]=>{{1,2},{3,6,7,8},{4,5}}=>[4,2,2]
[2,1,6,3,7,4,8,5]=>[1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]=>{{1,2},{3,8},{4,7},{5,6}}=>[2,2,2,2]
[2,1,6,3,4,5,8,7]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>{{1,2},{3,4,5,6},{7,8}}=>[4,2,2]
[2,3,6,1,4,5,8,7]=>[1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0]=>{{1,4,5,6},{2},{3},{7,8}}=>[4,2,1,1]
[2,1,7,8,3,4,5,6]=>[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>{{1,2},{3,4,5,6,8},{7}}=>[5,2,1]
[2,1,7,3,4,8,5,6]=>[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>{{1,2},{3,4,8},{5,6,7}}=>[3,3,2]
[2,1,8,3,4,5,6,7]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2},{3,4,5,6,7,8}}=>[6,2]
[2,8,1,3,4,5,6,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[2,3,4,8,1,5,6,7]=>[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>{{1,5,6,7,8},{2},{3},{4}}=>[5,1,1,1]
[3,1,4,2,6,5,8,7]=>[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>{{1,4},{2,3},{5,6},{7,8}}=>[2,2,2,2]
[3,4,1,2,6,5,8,7]=>[1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0]=>{{1,2,4},{3},{5,6},{7,8}}=>[3,2,2,1]
[3,1,4,2,7,5,8,6]=>[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>{{1,4},{2,3},{5,8},{6,7}}=>[2,2,2,2]
[3,4,1,2,7,8,5,6]=>[1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0]=>{{1,2,4},{3},{5,6,8},{7}}=>[3,3,1,1]
[3,1,4,2,8,5,6,7]=>[1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0]=>{{1,4},{2,3},{5,6,7,8}}=>[4,2,2]
[3,4,1,2,8,5,6,7]=>[1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]=>{{1,2,4},{3},{5,6,7,8}}=>[4,3,1]
[3,1,5,2,6,4,8,7]=>[1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>{{1,6},{2,3},{4,5},{7,8}}=>[2,2,2,2]
[3,5,6,1,2,4,8,7]=>[1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0]=>{{1,2,4,6},{3},{5},{7,8}}=>[4,2,1,1]
[3,1,5,2,7,4,8,6]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>{{1,8},{2,3},{4,5},{6,7}}=>[2,2,2,2]
[3,1,5,7,8,2,4,6]=>[1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0]=>{{1,4,6,8},{2,3},{5},{7}}=>[4,2,1,1]
[3,5,7,8,1,2,4,6]=>[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>{{1,2,4,6,8},{3},{5},{7}}=>[5,1,1,1]
[3,1,5,2,8,4,6,7]=>[1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0]=>{{1,6,7,8},{2,3},{4,5}}=>[4,2,2]
[3,1,5,8,2,4,6,7]=>[1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0]=>{{1,4,6,7,8},{2,3},{5}}=>[5,2,1]
[3,1,6,2,7,4,8,5]=>[1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>{{1,8},{2,3},{4,7},{5,6}}=>[2,2,2,2]
[3,1,6,2,4,5,8,7]=>[1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0]=>{{1,4,5,6},{2,3},{7,8}}=>[4,2,2]
[3,1,7,8,2,4,5,6]=>[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]=>{{1,4,5,6,8},{2,3},{7}}=>[5,2,1]
[3,1,2,7,4,8,5,6]=>[1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0]=>{{1,2,3},{4,5,8},{6,7}}=>[3,3,2]
[3,1,8,2,4,5,6,7]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,4,5,6,7,8},{2,3}}=>[6,2]
[1,3,2,8,4,5,6,7]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>{{1},{2,3},{4,5,6,7,8}}=>[5,2,1]
[4,1,5,2,6,3,8,7]=>[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0]=>{{1,6},{2,5},{3,4},{7,8}}=>[2,2,2,2]
[4,1,5,2,7,3,8,6]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>{{1,8},{2,5},{3,4},{6,7}}=>[2,2,2,2]
[4,1,5,2,7,8,3,6]=>[1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0]=>{{1,6,8},{2,5},{3,4},{7}}=>[3,2,2,1]
[4,1,5,2,8,3,6,7]=>[1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0]=>{{1,6,7,8},{2,5},{3,4}}=>[4,2,2]
[4,5,8,1,2,3,6,7]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4},{5}}=>[6,1,1]
[4,1,6,2,7,3,8,5]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>{{1,8},{2,7},{3,4},{5,6}}=>[2,2,2,2]
[4,1,6,2,3,8,5,7]=>[1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0]=>{{1,7,8},{2,5,6},{3,4}}=>[3,3,2]
[4,1,2,3,6,5,8,7]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]=>{{1,2,3,4},{5,6},{7,8}}=>[4,2,2]
[4,1,2,3,6,8,5,7]=>[1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0]=>{{1,2,3,4},{5,7,8},{6}}=>[4,3,1]
[4,1,2,7,8,3,5,6]=>[1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]=>{{1,5,6,8},{2,3,4},{7}}=>[4,3,1]
[4,1,2,3,7,5,8,6]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0]=>{{1,2,3,4},{5,8},{6,7}}=>[4,2,2]
[4,1,2,3,7,8,5,6]=>[1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0]=>{{1,2,3,4},{5,6,8},{7}}=>[4,3,1]
[4,1,2,8,3,5,6,7]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>{{1,5,6,7,8},{2,3,4}}=>[5,3]
[4,1,2,3,8,5,6,7]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>{{1,2,3,4},{5,6,7,8}}=>[4,4]
[5,1,6,2,7,3,8,4]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>{{1,8},{2,7},{3,6},{4,5}}=>[2,2,2,2]
[5,6,1,2,7,3,8,4]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0]=>{{1,8},{2,7},{3,4,6},{5}}=>[3,2,2,1]
[5,6,1,7,2,3,8,4]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>{{1,8},{2,3,7},{4,6},{5}}=>[3,2,2,1]
[5,1,2,6,3,8,4,7]=>[1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0]=>{{1,7,8},{2,6},{3,4,5}}=>[3,3,2]
[5,6,1,2,3,4,8,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>{{1,2,3,4,6},{5},{7,8}}=>[5,2,1]
[5,1,7,2,8,3,4,6]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5},{6,7}}=>[4,2,2]
[5,7,8,1,2,3,4,6]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,6,8},{5},{7}}=>[6,1,1]
[5,1,2,7,3,8,4,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>{{1,2,8},{3,4,5},{6,7}}=>[3,3,2]
[5,1,7,2,3,4,8,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>{{1,8},{2,3,6,7},{4,5}}=>[4,2,2]
[5,8,1,2,3,4,6,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[5,1,2,8,3,4,6,7]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>{{1,2,6,7,8},{3,4,5}}=>[5,3]
[6,1,7,2,8,3,4,5]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,7},{5,6}}=>[4,2,2]
[6,7,1,8,2,3,4,5]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,7},{6}}=>[5,2,1]
[6,1,7,2,3,8,4,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>{{1,2,8},{3,4,7},{5,6}}=>[3,3,2]
[6,7,1,2,3,8,4,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>{{1,2,8},{3,4,5,7},{6}}=>[4,3,1]
[6,1,2,7,3,8,4,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>{{1,2,8},{3,7},{4,5,6}}=>[3,3,2]
[6,1,2,8,3,4,5,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[6,1,2,3,4,5,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>{{1,2,3,4,5,6},{7,8}}=>[6,2]
[7,1,2,8,3,4,5,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[7,1,2,3,8,4,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[5,3,2,6,1,4,8,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0]=>{{1,2,6},{3,4,5},{7,8}}=>[3,3,2]
[8,4,5,2,3,7,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[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]=>{{1,2,3,4,5,6},{7,8}}=>[6,2]
[5,4,6,2,1,3,8,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]=>{{1,2,3,6},{4,5},{7,8}}=>[4,2,2]
[3,6,1,5,4,2,8,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]=>{{1,2,4,5,6},{3},{7,8}}=>[5,2,1]
[4,6,5,1,3,2,8,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]=>{{1,2,3,5,6},{4},{7,8}}=>[5,2,1]
[5,6,4,3,1,2,8,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>{{1,2,3,4,6},{5},{7,8}}=>[5,2,1]
[8,6,4,3,7,2,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[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]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[6,7,4,3,8,1,2,5]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,7},{6}}=>[4,3,1]
[2,1,7,5,4,8,3,6]=>[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>{{1,2},{3,4,8},{5,6,7}}=>[3,3,2]
[3,8,1,5,4,7,6,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[5,8,4,3,1,7,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[6,8,4,3,7,1,5,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[7,8,4,3,6,5,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[6,8,5,7,3,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[5,8,6,7,1,3,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[3,8,1,6,7,4,5,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[2,1,8,6,7,4,5,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2},{3,4,5,6,7,8}}=>[6,2]
[2,1,7,6,8,4,3,5]=>[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>{{1,2},{3,4,5,8},{6,7}}=>[4,2,2]
[6,4,7,2,8,1,3,5]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,7},{5,6}}=>[4,2,2]
[7,4,6,2,8,3,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[8,4,6,2,7,3,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,3,2,6,7,4,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[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]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[6,3,2,7,8,1,4,5]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6},{7}}=>[4,3,1]
[5,3,2,7,1,8,4,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>{{1,2,8},{3,4,5},{6,7}}=>[3,3,2]
[4,3,2,1,7,8,5,6]=>[1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0]=>{{1,2,3,4},{5,6,8},{7}}=>[4,3,1]
[3,4,1,2,8,7,6,5]=>[1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]=>{{1,2,4},{3},{5,6,7,8}}=>[4,3,1]
[5,3,2,8,1,7,6,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>{{1,2,6,7,8},{3,4,5}}=>[5,3]
[6,3,2,8,7,1,5,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[7,3,2,8,6,5,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[8,4,7,2,6,5,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,4,8,2,6,5,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[5,4,8,2,1,7,6,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[4,5,8,1,2,7,6,3]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4},{5}}=>[6,1,1]
[2,1,5,8,3,7,6,4]=>[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>{{1,2},{3,4,6,7,8},{5}}=>[5,2,1]
[2,1,6,8,7,3,5,4]=>[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]=>{{1,2},{3,4,5,7,8},{6}}=>[5,2,1]
[7,5,8,6,2,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[8,5,7,6,2,4,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,7,8,6,1,4,2,3]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,6,8},{5},{7}}=>[6,1,1]
[3,7,1,8,6,5,2,4]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,4,5,8},{3},{6,7}}=>[5,2,1]
[2,1,7,8,6,5,3,4]=>[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>{{1,2},{3,4,5,6,8},{7}}=>[5,2,1]
[3,8,1,7,6,5,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[5,8,7,6,1,4,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[3,2,8,1,4,5,6,7]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,4,5,6,7,8},{2,3}}=>[6,2]
[5,2,8,1,3,4,6,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[5,4,8,1,2,3,6,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[7,5,8,1,2,3,4,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[8,3,5,1,2,4,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,7,1,2,3,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[3,2,5,8,1,4,6,7]=>[1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0]=>{{1,4,6,7,8},{2,3},{5}}=>[5,2,1]
[5,2,4,8,1,3,6,7]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>{{1,2,6,7,8},{3,4,5}}=>[5,3]
[6,2,4,8,1,3,5,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[6,2,5,8,1,3,4,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[6,3,5,8,1,2,4,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[3,2,7,8,1,4,5,6]=>[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]=>{{1,4,5,6,8},{2,3},{7}}=>[5,2,1]
[5,4,7,8,1,2,3,6]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>{{1,2,3,6,8},{4,5},{7}}=>[5,2,1]
[7,2,4,8,1,3,5,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[7,3,5,8,1,2,4,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[7,4,5,8,1,2,3,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[8,2,5,6,1,3,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,3,5,7,1,2,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,2,6,7,1,3,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,4,6,7,1,2,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,8,3,4,1,2,6,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[5,8,3,6,1,2,4,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[6,8,2,4,1,3,5,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[6,8,3,4,1,2,5,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[6,8,3,5,1,2,4,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[6,8,4,5,1,2,3,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[3,8,2,7,1,4,5,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[5,8,2,7,1,3,4,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[5,8,3,7,1,2,4,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[5,8,4,7,1,2,3,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[6,8,2,7,1,3,4,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[6,8,3,7,1,2,4,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[6,8,5,7,1,2,3,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[7,8,2,4,1,3,5,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,8,2,5,1,3,4,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,8,3,5,1,2,4,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,8,4,6,1,2,3,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[4,3,2,8,1,5,6,7]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>{{1,5,6,7,8},{2,3,4}}=>[5,3]
[5,3,2,8,1,4,6,7]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>{{1,2,6,7,8},{3,4,5}}=>[5,3]
[5,4,3,8,1,2,6,7]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>{{1,2,6,7,8},{3,4,5}}=>[5,3]
[6,3,2,8,1,4,5,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[6,4,3,8,1,2,5,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[6,5,2,8,1,3,4,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[6,5,3,8,1,2,4,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[6,5,4,8,1,2,3,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[7,3,2,8,1,4,5,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[7,4,2,8,1,3,5,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[7,4,3,8,1,2,5,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[7,5,3,8,1,2,4,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[7,6,2,8,1,3,4,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[7,6,4,8,1,2,3,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[8,4,2,5,1,3,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,3,2,6,1,4,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,4,2,6,1,3,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,3,6,1,2,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,2,4,1,3,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,2,5,1,3,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,3,2,7,1,4,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,4,2,7,1,3,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,4,3,7,1,2,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,2,7,1,3,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,3,7,1,2,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,4,7,1,2,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,3,7,1,2,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,2,4,1,3,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,2,5,1,3,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,3,5,1,2,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,2,6,1,3,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,3,6,1,2,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,4,6,1,2,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[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]=>{{1,2,3,8},{4,5,7},{6}}=>[4,3,1]
[3,8,2,5,7,1,4,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[3,8,2,6,7,1,4,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[5,8,4,6,7,1,2,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[6,8,2,5,7,1,3,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[6,8,3,5,7,1,2,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[6,8,4,5,7,1,2,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[7,8,2,4,6,1,3,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,8,3,4,6,1,2,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,8,2,5,6,1,3,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,8,3,5,6,1,2,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[6,3,2,5,8,1,4,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[6,4,3,5,8,1,2,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[6,5,2,4,8,1,3,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[4,3,2,7,8,1,5,6]=>[1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]=>{{1,5,6,8},{2,3,4},{7}}=>[4,3,1]
[6,4,2,7,8,1,3,5]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6},{7}}=>[4,3,1]
[6,4,3,7,8,1,2,5]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6},{7}}=>[4,3,1]
[6,5,2,7,8,1,3,4]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6},{7}}=>[4,3,1]
[7,4,2,5,8,1,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[7,3,2,6,8,1,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[7,5,3,6,8,1,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[7,6,3,5,8,1,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[8,4,2,5,7,1,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,2,6,7,1,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,3,6,7,1,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,2,5,7,1,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,3,5,7,1,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,2,4,6,1,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,3,4,6,1,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,2,5,6,1,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,3,5,6,1,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,3,8,2,6,1,4,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[5,4,8,2,6,1,3,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[5,3,8,2,7,1,4,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[5,4,8,2,7,1,3,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[7,3,8,2,5,1,4,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,4,8,3,5,1,2,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,5,8,2,4,1,3,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,5,8,3,4,1,2,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,3,8,2,6,1,4,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,4,8,2,6,1,3,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,5,8,2,6,1,3,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,5,8,3,6,1,2,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,5,8,4,6,1,2,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[8,3,6,2,5,1,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,4,6,2,5,1,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,3,7,2,5,1,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,4,7,3,5,1,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,3,7,2,6,1,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,4,7,2,6,1,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,4,7,3,6,1,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,7,2,6,1,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,7,2,4,1,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,7,2,5,1,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,7,3,5,1,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,4,3,2,8,1,6,7]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>{{1,6,7,8},{2,3,4,5}}=>[4,4]
[6,5,3,2,8,1,4,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[6,5,4,3,8,1,2,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[7,5,3,2,8,1,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[7,6,4,3,8,1,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[7,6,5,3,8,1,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[8,5,3,2,6,1,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,4,2,6,1,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,3,2,5,1,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,5,2,4,1,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,3,2,7,1,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,3,2,7,1,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,5,3,7,1,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,3,2,5,1,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,3,2,6,1,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,4,2,6,1,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,4,3,6,1,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,5,2,6,1,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,5,3,6,1,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,6,2,4,1,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,6,2,5,1,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,6,3,5,1,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,8,3,7,2,6,1,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[5,8,4,7,2,6,1,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[5,8,4,7,3,6,1,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[6,8,3,7,2,5,1,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[6,8,4,7,2,5,1,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[6,8,4,7,3,5,1,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[6,8,5,7,2,4,1,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[6,8,5,7,3,4,1,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[7,8,3,6,2,5,1,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,8,4,6,2,5,1,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,8,4,6,3,5,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,8,5,6,2,4,1,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[6,4,3,8,2,7,1,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[6,5,3,8,2,7,1,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[6,5,4,8,2,7,1,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[7,4,3,8,2,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[7,5,3,8,2,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[7,5,4,8,2,6,1,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[7,6,3,8,2,5,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[7,6,4,8,2,5,1,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[7,6,5,8,2,4,1,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[8,4,3,7,2,6,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,3,7,2,6,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,4,7,2,6,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,4,7,3,6,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,3,7,2,5,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,4,7,2,5,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,4,7,3,5,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,5,7,2,4,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,3,6,2,5,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,4,6,3,5,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,5,6,2,4,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,4,3,2,7,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,4,3,2,6,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,5,3,2,6,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,5,4,2,6,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,6,3,2,5,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,6,5,2,4,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,2,3,7,4,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,2,5,3,4,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,2,6,3,7,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[4,1,2,8,7,3,5,6]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>{{1,5,6,7,8},{2,3,4}}=>[5,3]
[8,1,2,5,6,3,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,2,7,6,3,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,1,2,5,6,3,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[8,1,2,5,6,7,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[3,1,8,2,6,4,5,7]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,4,5,6,7,8},{2,3}}=>[6,2]
[3,1,5,2,8,7,4,6]=>[1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0]=>{{1,6,7,8},{2,3},{4,5}}=>[4,2,2]
[3,1,8,2,6,7,4,5]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,4,5,6,7,8},{2,3}}=>[6,2]
[8,1,4,2,3,5,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,1,4,2,3,5,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[7,1,5,2,3,4,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[5,1,4,2,8,3,6,7]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>{{1,6,7,8},{2,3,4,5}}=>[4,4]
[8,1,4,2,6,3,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,1,4,2,6,3,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[8,1,5,2,6,3,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,5,2,7,3,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,1,8,2,6,3,4,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,1,5,2,6,3,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[5,1,4,2,8,7,3,6]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>{{1,6,7,8},{2,3,4,5}}=>[4,4]
[8,1,4,2,6,7,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,5,2,6,7,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[3,1,8,6,2,4,5,7]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,4,5,6,7,8},{2,3}}=>[6,2]
[3,1,8,5,2,7,4,6]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,4,5,6,7,8},{2,3}}=>[6,2]
[3,1,8,6,2,7,4,5]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,4,5,6,7,8},{2,3}}=>[6,2]
[8,1,4,5,2,3,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,1,8,5,2,3,4,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,1,8,6,2,3,4,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,1,6,5,2,3,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[3,1,8,5,7,2,4,6]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,4,5,6,7,8},{2,3}}=>[6,2]
[8,1,4,5,7,2,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,4,7,6,2,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[3,1,8,5,6,7,2,4]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,4,5,6,7,8},{2,3}}=>[6,2]
[8,1,4,5,6,7,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[2,8,1,3,7,4,5,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[2,8,1,3,6,7,4,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[2,8,1,6,3,7,4,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[2,8,1,5,7,3,4,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[2,8,1,7,6,3,4,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[7,3,1,2,4,5,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[8,3,1,2,4,7,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,3,1,2,8,4,6,7]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>{{1,6,7,8},{2,3,4,5}}=>[4,4]
[8,3,1,2,6,4,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,3,1,2,7,4,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,3,1,2,6,4,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[5,3,1,2,8,7,4,6]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>{{1,6,7,8},{2,3,4,5}}=>[4,4]
[8,4,1,2,3,7,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,6,1,2,3,4,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[8,6,1,2,3,7,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,4,1,2,8,3,6,7]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>{{1,6,7,8},{2,3,4,5}}=>[4,4]
[8,4,1,2,7,3,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,4,1,2,6,3,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[5,8,1,2,7,3,4,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[8,7,1,2,6,3,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,7,1,2,6,3,8,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,6,7},{5}}=>[5,2,1]
[8,4,1,2,6,7,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,8,1,2,6,7,3,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[4,3,1,8,2,5,6,7]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>{{1,5,6,7,8},{2,3,4}}=>[5,3]
[8,3,1,5,2,4,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,3,1,6,2,4,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,3,1,6,2,4,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[8,3,1,5,2,7,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,3,1,6,2,7,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,4,1,5,2,3,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[8,4,1,6,2,3,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,4,1,8,2,3,5,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[7,4,1,6,2,3,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[8,7,1,6,2,3,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,4,1,5,2,7,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,4,1,6,2,7,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,8,1,5,2,7,3,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[4,3,1,8,7,2,5,6]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>{{1,5,6,7,8},{2,3,4}}=>[5,3]
[8,3,1,5,6,2,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,3,1,5,7,2,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,3,1,7,6,2,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,3,1,5,6,2,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[8,4,1,5,6,2,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,8,1,5,6,2,3,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[8,4,1,5,6,7,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[2,8,4,1,3,5,6,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[2,8,4,1,7,3,5,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[2,8,5,1,7,3,4,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[2,8,4,1,6,7,3,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[7,3,5,1,2,4,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[8,3,5,1,2,7,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,5,4,1,2,3,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[6,8,5,1,2,3,4,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[8,5,4,1,2,7,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,8,4,1,2,7,3,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[6,8,5,1,2,7,3,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[8,3,4,1,7,2,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,3,5,1,6,2,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,3,8,1,6,2,4,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,3,5,1,6,2,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[8,5,4,1,6,2,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,8,4,1,6,2,3,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,8,5,1,6,2,3,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,5,4,1,6,2,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[8,3,4,1,6,7,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[2,3,4,8,1,7,5,6]=>[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>{{1,5,6,7,8},{2},{3},{4}}=>[5,1,1,1]
[2,8,4,5,1,3,6,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[2,8,6,5,1,3,4,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[2,8,4,6,1,7,3,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[7,3,8,5,1,2,4,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,3,6,5,1,2,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[8,6,4,5,1,7,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[2,3,4,8,6,1,5,7]=>[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>{{1,5,6,7,8},{2},{3},{4}}=>[5,1,1,1]
[2,3,4,8,7,1,5,6]=>[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>{{1,5,6,7,8},{2},{3},{4}}=>[5,1,1,1]
[2,8,4,7,6,1,3,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[2,8,7,5,6,1,3,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[8,3,4,5,7,1,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,3,7,5,6,1,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[2,3,4,8,6,7,1,5]=>[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>{{1,5,6,7,8},{2},{3},{4}}=>[5,1,1,1]
[2,8,4,5,6,7,1,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[5,4,3,8,7,6,1,2]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>{{1,2,6,7,8},{3,4,5}}=>[5,3]
[5,3,4,8,6,7,1,2]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>{{1,2,6,7,8},{3,4,5}}=>[5,3]
[5,2,4,8,6,1,7,3]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>{{1,2,6,7,8},{3,4,5}}=>[5,3]
[7,8,2,4,5,1,6,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,8,1,4,5,2,3,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[5,1,4,8,6,2,3,7]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>{{1,2,6,7,8},{3,4,5}}=>[5,3]
[4,1,3,2,8,6,5,7]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>{{1,2,3,4},{5,6,7,8}}=>[4,4]
[5,1,3,8,2,6,4,7]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>{{1,2,6,7,8},{3,4,5}}=>[5,3]
[7,8,1,3,2,5,4,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,8,2,3,1,5,6,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[5,2,3,8,1,6,7,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>{{1,2,6,7,8},{3,4,5}}=>[5,3]
[7,8,3,2,1,6,5,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,8,4,2,6,1,5,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[5,4,2,8,7,1,6,3]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>{{1,2,6,7,8},{3,4,5}}=>[5,3]
[7,8,5,6,2,1,4,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[5,4,1,8,7,2,3,6]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>{{1,2,6,7,8},{3,4,5}}=>[5,3]
[7,8,3,1,2,6,4,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[5,3,1,8,2,7,4,6]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>{{1,2,6,7,8},{3,4,5}}=>[5,3]
[4,3,1,2,8,7,5,6]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>{{1,2,3,4},{5,6,7,8}}=>[4,4]
[4,2,1,3,8,5,7,6]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>{{1,2,3,4},{5,6,7,8}}=>[4,4]
[5,2,1,8,3,4,7,6]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>{{1,2,6,7,8},{3,4,5}}=>[5,3]
[7,8,2,1,3,4,6,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[8,4,3,6,5,1,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,5,4,1,3,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,8,5,4,2,1,3,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[5,8,6,2,4,1,3,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[3,2,8,6,5,1,4,7]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,4,5,6,7,8},{2,3}}=>[6,2]
[7,1,5,4,8,2,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[8,1,5,4,7,6,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,6,7,4,5,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,1,6,8,4,2,5,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[5,1,7,2,8,4,6,3]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5},{6,7}}=>[4,2,2]
[4,1,2,7,8,5,6,3]=>[1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]=>{{1,5,6,8},{2,3,4},{7}}=>[4,3,1]
[3,2,8,7,1,5,4,6]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,4,5,6,7,8},{2,3}}=>[6,2]
[5,8,7,2,1,4,3,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[6,8,7,1,2,4,3,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[7,8,6,1,4,2,3,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[8,7,6,1,4,3,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,7,1,3,4,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,6,8,1,3,2,4,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[5,7,8,2,1,3,4,6]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,6,8},{5},{7}}=>[6,1,1]
[7,5,8,3,1,2,4,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[8,5,7,3,1,4,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,4,3,7,1,5,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,4,3,8,2,1,5,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[3,2,5,4,8,1,6,7]=>[1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0]=>{{1,6,7,8},{2,3},{4,5}}=>[4,2,2]
[7,4,3,1,8,2,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[8,4,3,1,7,6,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,1,3,7,6,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,5,1,3,8,2,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[3,2,7,1,8,4,6,5]=>[1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0]=>{{1,4,5,8},{2,3},{6,7}}=>[4,2,2]
[6,7,1,8,2,3,5,4]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,7},{6}}=>[5,2,1]
[7,6,1,8,3,2,5,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[8,6,1,7,3,5,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,1,6,5,3,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,8,1,6,5,2,3,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[6,8,1,7,2,5,3,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[5,8,1,2,7,6,3,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[3,2,8,1,7,6,4,5]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,4,5,6,7,8},{2,3}}=>[6,2]
[4,1,2,8,7,6,5,3]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>{{1,5,6,7,8},{2,3,4}}=>[5,3]
[5,1,8,2,7,6,4,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[7,1,8,6,5,2,4,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[8,1,7,6,5,4,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[3,2,5,1,6,4,8,7]=>[1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>{{1,6},{2,3},{4,5},{7,8}}=>[2,2,2,2]
[3,2,5,4,7,1,8,6]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>{{1,8},{2,3},{4,5},{6,7}}=>[2,2,2,2]
[4,2,5,3,7,6,8,1]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>{{1,8},{2,5},{3,4},{6,7}}=>[2,2,2,2]
[4,2,5,3,7,1,8,6]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>{{1,8},{2,5},{3,4},{6,7}}=>[2,2,2,2]
[4,2,5,3,6,1,8,7]=>[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0]=>{{1,6},{2,5},{3,4},{7,8}}=>[2,2,2,2]
[4,2,5,1,6,3,8,7]=>[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0]=>{{1,6},{2,5},{3,4},{7,8}}=>[2,2,2,2]
[3,1,5,4,6,2,8,7]=>[1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>{{1,6},{2,3},{4,5},{7,8}}=>[2,2,2,2]
[4,1,5,3,6,2,8,7]=>[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0]=>{{1,6},{2,5},{3,4},{7,8}}=>[2,2,2,2]
[4,3,5,1,6,2,8,7]=>[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0]=>{{1,6},{2,5},{3,4},{7,8}}=>[2,2,2,2]
[4,3,5,2,7,1,8,6]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>{{1,8},{2,5},{3,4},{6,7}}=>[2,2,2,2]
[4,3,6,2,7,5,8,1]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>{{1,8},{2,7},{3,4},{5,6}}=>[2,2,2,2]
[4,3,6,2,7,1,8,5]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>{{1,8},{2,7},{3,4},{5,6}}=>[2,2,2,2]
[4,3,6,1,7,2,8,5]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>{{1,8},{2,7},{3,4},{5,6}}=>[2,2,2,2]
[4,3,5,1,7,2,8,6]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>{{1,8},{2,5},{3,4},{6,7}}=>[2,2,2,2]
[4,1,5,3,7,2,8,6]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>{{1,8},{2,5},{3,4},{6,7}}=>[2,2,2,2]
[3,1,5,4,7,2,8,6]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>{{1,8},{2,3},{4,5},{6,7}}=>[2,2,2,2]
[2,1,5,4,7,3,8,6]=>[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>{{1,2},{3,8},{4,5},{6,7}}=>[2,2,2,2]
[3,1,5,4,7,6,8,2]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>{{1,8},{2,3},{4,5},{6,7}}=>[2,2,2,2]
[4,1,5,3,7,6,8,2]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>{{1,8},{2,5},{3,4},{6,7}}=>[2,2,2,2]
[4,3,5,1,7,6,8,2]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>{{1,8},{2,5},{3,4},{6,7}}=>[2,2,2,2]
[4,3,6,1,7,5,8,2]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>{{1,8},{2,7},{3,4},{5,6}}=>[2,2,2,2]
[4,3,6,5,7,1,8,2]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>{{1,8},{2,7},{3,4},{5,6}}=>[2,2,2,2]
[5,3,6,4,7,2,8,1]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>{{1,8},{2,7},{3,6},{4,5}}=>[2,2,2,2]
[5,3,6,4,7,1,8,2]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>{{1,8},{2,7},{3,6},{4,5}}=>[2,2,2,2]
[5,3,6,1,7,4,8,2]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>{{1,8},{2,7},{3,6},{4,5}}=>[2,2,2,2]
[5,1,6,3,7,4,8,2]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>{{1,8},{2,7},{3,6},{4,5}}=>[2,2,2,2]
[4,1,6,3,7,5,8,2]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>{{1,8},{2,7},{3,4},{5,6}}=>[2,2,2,2]
[3,1,6,4,7,5,8,2]=>[1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>{{1,8},{2,3},{4,7},{5,6}}=>[2,2,2,2]
[2,1,6,4,7,5,8,3]=>[1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]=>{{1,2},{3,8},{4,7},{5,6}}=>[2,2,2,2]
[2,1,6,4,7,3,8,5]=>[1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]=>{{1,2},{3,8},{4,7},{5,6}}=>[2,2,2,2]
[3,1,6,4,7,2,8,5]=>[1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>{{1,8},{2,3},{4,7},{5,6}}=>[2,2,2,2]
[4,1,6,3,7,2,8,5]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>{{1,8},{2,7},{3,4},{5,6}}=>[2,2,2,2]
[5,1,6,3,7,2,8,4]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>{{1,8},{2,7},{3,6},{4,5}}=>[2,2,2,2]
[5,3,6,1,7,2,8,4]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>{{1,8},{2,7},{3,6},{4,5}}=>[2,2,2,2]
[5,3,6,2,7,1,8,4]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>{{1,8},{2,7},{3,6},{4,5}}=>[2,2,2,2]
[5,3,6,2,7,4,8,1]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>{{1,8},{2,7},{3,6},{4,5}}=>[2,2,2,2]
[5,2,6,3,7,4,8,1]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>{{1,8},{2,7},{3,6},{4,5}}=>[2,2,2,2]
[5,2,6,3,7,1,8,4]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>{{1,8},{2,7},{3,6},{4,5}}=>[2,2,2,2]
[5,2,6,1,7,3,8,4]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>{{1,8},{2,7},{3,6},{4,5}}=>[2,2,2,2]
[4,2,5,1,7,3,8,6]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>{{1,8},{2,5},{3,4},{6,7}}=>[2,2,2,2]
[4,2,6,1,7,3,8,5]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>{{1,8},{2,7},{3,4},{5,6}}=>[2,2,2,2]
[4,2,6,3,7,1,8,5]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>{{1,8},{2,7},{3,4},{5,6}}=>[2,2,2,2]
[4,2,6,3,7,5,8,1]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>{{1,8},{2,7},{3,4},{5,6}}=>[2,2,2,2]
[3,2,6,4,7,5,8,1]=>[1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>{{1,8},{2,3},{4,7},{5,6}}=>[2,2,2,2]
[3,2,6,4,7,1,8,5]=>[1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>{{1,8},{2,3},{4,7},{5,6}}=>[2,2,2,2]
[3,2,6,1,7,4,8,5]=>[1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>{{1,8},{2,3},{4,7},{5,6}}=>[2,2,2,2]
[3,2,5,1,7,4,8,6]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>{{1,8},{2,3},{4,5},{6,7}}=>[2,2,2,2]
[3,2,4,1,7,5,8,6]=>[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>{{1,4},{2,3},{5,8},{6,7}}=>[2,2,2,2]
[3,1,4,2,7,6,8,5]=>[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>{{1,4},{2,3},{5,8},{6,7}}=>[2,2,2,2]
[3,2,5,1,7,6,8,4]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>{{1,8},{2,3},{4,5},{6,7}}=>[2,2,2,2]
[3,2,6,1,7,5,8,4]=>[1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>{{1,8},{2,3},{4,7},{5,6}}=>[2,2,2,2]
[3,2,6,5,7,1,8,4]=>[1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>{{1,8},{2,3},{4,7},{5,6}}=>[2,2,2,2]
[4,2,6,5,7,3,8,1]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>{{1,8},{2,7},{3,4},{5,6}}=>[2,2,2,2]
[4,2,6,5,7,1,8,3]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>{{1,8},{2,7},{3,4},{5,6}}=>[2,2,2,2]
[4,2,6,1,7,5,8,3]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>{{1,8},{2,7},{3,4},{5,6}}=>[2,2,2,2]
[4,2,5,1,7,6,8,3]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>{{1,8},{2,5},{3,4},{6,7}}=>[2,2,2,2]
[4,1,5,2,7,6,8,3]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>{{1,8},{2,5},{3,4},{6,7}}=>[2,2,2,2]
[3,1,5,2,7,6,8,4]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>{{1,8},{2,3},{4,5},{6,7}}=>[2,2,2,2]
[2,1,5,3,7,6,8,4]=>[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>{{1,2},{3,8},{4,5},{6,7}}=>[2,2,2,2]
[2,1,6,3,7,5,8,4]=>[1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]=>{{1,2},{3,8},{4,7},{5,6}}=>[2,2,2,2]
[3,1,6,2,7,5,8,4]=>[1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>{{1,8},{2,3},{4,7},{5,6}}=>[2,2,2,2]
[4,1,6,2,7,5,8,3]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>{{1,8},{2,7},{3,4},{5,6}}=>[2,2,2,2]
[5,1,6,2,7,4,8,3]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>{{1,8},{2,7},{3,6},{4,5}}=>[2,2,2,2]
[5,2,6,1,7,4,8,3]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>{{1,8},{2,7},{3,6},{4,5}}=>[2,2,2,2]
[5,2,6,4,7,1,8,3]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>{{1,8},{2,7},{3,6},{4,5}}=>[2,2,2,2]
[5,2,6,4,7,3,8,1]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>{{1,8},{2,7},{3,6},{4,5}}=>[2,2,2,2]
[5,4,6,2,7,3,8,1]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>{{1,8},{2,7},{3,6},{4,5}}=>[2,2,2,2]
[5,4,6,2,7,1,8,3]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>{{1,8},{2,7},{3,6},{4,5}}=>[2,2,2,2]
[5,4,6,1,7,2,8,3]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>{{1,8},{2,7},{3,6},{4,5}}=>[2,2,2,2]
[5,1,6,4,7,2,8,3]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>{{1,8},{2,7},{3,6},{4,5}}=>[2,2,2,2]
[4,1,6,5,7,2,8,3]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>{{1,8},{2,7},{3,4},{5,6}}=>[2,2,2,2]
[3,1,6,5,7,2,8,4]=>[1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>{{1,8},{2,3},{4,7},{5,6}}=>[2,2,2,2]
[2,1,6,5,7,3,8,4]=>[1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]=>{{1,2},{3,8},{4,7},{5,6}}=>[2,2,2,2]
[3,1,6,5,7,4,8,2]=>[1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>{{1,8},{2,3},{4,7},{5,6}}=>[2,2,2,2]
[4,1,6,5,7,3,8,2]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>{{1,8},{2,7},{3,4},{5,6}}=>[2,2,2,2]
[5,1,6,4,7,3,8,2]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>{{1,8},{2,7},{3,6},{4,5}}=>[2,2,2,2]
[5,4,6,1,7,3,8,2]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>{{1,8},{2,7},{3,6},{4,5}}=>[2,2,2,2]
[5,4,6,3,7,1,8,2]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>{{1,8},{2,7},{3,6},{4,5}}=>[2,2,2,2]
[8,6,1,3,4,2,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,3,5,2,1,6,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,3,5,2,4,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,3,7,5,2,4,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,2,4,5,7,3,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,2,4,6,5,3,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,2,5,4,6,1,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,2,4,5,6,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,2,5,1,3,6,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,3,5,1,4,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,1,4,5,3,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,5,6,4,3,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,7,4,3,2,1,8,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,6,7},{5}}=>[5,2,1]
[8,5,7,4,3,2,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,7,4,2,1,3,8,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,6,7},{5}}=>[5,2,1]
[8,5,7,4,2,1,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,3,7,5,1,4,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,4,1,7,5,3,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,4,7,6,3,5,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[3,1,5,8,6,7,4,2]=>[1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0]=>{{1,4,6,7,8},{2,3},{5}}=>[5,2,1]
[8,2,6,1,4,7,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[3,8,2,4,6,7,5,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[8,7,6,1,3,4,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,7,3,2,1,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,3,6,7,2,1,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[3,7,8,6,2,1,5,4]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,4,5,6,8},{3},{7}}=>[6,1,1]
[8,7,6,3,5,2,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,4,1,5,7,2,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,3,7,1,6,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,7,2,1,3,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,2,6,7,1,3,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,3,6,1,7,5,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,2,5,6,7,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,2,6,5,7,4,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[2,1,7,8,5,6,4,3]=>[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>{{1,2},{3,4,5,6,8},{7}}=>[5,2,1]
[8,2,5,7,6,4,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[3,7,8,1,6,5,2,4]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,4,5,6,8},{3},{7}}=>[6,1,1]
[8,7,6,3,5,1,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,4,7,6,5,1,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,1,5,6,4,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,6,7,5,4,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[3,5,8,2,4,7,6,1]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,4,6,7,8},{3},{5}}=>[6,1,1]
[4,2,6,5,3,8,1,7]=>[1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0]=>{{1,7,8},{2,5,6},{3,4}}=>[3,3,2]
[5,4,3,8,2,7,6,1]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>{{1,2,6,7,8},{3,4,5}}=>[5,3]
[7,1,3,5,8,4,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[7,2,5,8,4,1,3,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[2,8,5,7,4,6,1,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[3,5,8,7,1,4,6,2]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,4,6,7,8},{3},{5}}=>[6,1,1]
[6,4,3,8,1,7,5,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[5,3,8,7,6,4,2,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[7,5,3,1,8,6,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[6,8,7,3,1,4,5,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[7,6,2,8,4,1,3,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[7,3,1,6,8,4,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[5,7,1,6,3,2,8,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,6,7},{5}}=>[5,2,1]
[7,6,5,3,2,1,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[6,5,3,2,8,7,4,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[5,2,7,6,3,1,8,4]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>{{1,8},{2,3,6,7},{4,5}}=>[4,2,2]
[6,1,7,4,2,8,3,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>{{1,2,8},{3,4,7},{5,6}}=>[3,3,2]
[6,7,2,1,8,3,4,5]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,7},{6}}=>[4,3,1]
[7,5,8,2,1,3,4,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[3,8,6,2,4,7,5,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[7,3,6,2,4,1,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[8,3,7,1,4,6,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[3,8,2,5,7,1,6,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[8,3,6,2,7,1,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,8,3,6,2,1,5,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[8,7,3,6,2,5,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,4,8,2,7,1,6,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[5,8,3,7,1,6,2,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[5,8,7,2,6,1,3,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[8,6,2,7,5,1,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,5,2,8,1,7,4,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[5,2,7,1,8,6,4,3]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5},{6,7}}=>[4,2,2]
[5,8,2,7,6,4,3,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[7,6,2,1,8,5,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[6,1,7,2,8,5,4,3]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,7},{5,6}}=>[4,2,2]
[7,5,1,8,2,6,4,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[7,8,3,1,6,5,2,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[8,7,4,6,1,5,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,7,1,6,4,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,8,1,7,5,4,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[7,1,8,6,5,4,3,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[4,1,3,2,6,5,8,7]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]=>{{1,2,3,4},{5,6},{7,8}}=>[4,2,2]
[6,3,5,1,2,4,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>{{1,2,3,4,5,6},{7,8}}=>[6,2]
[8,3,7,5,2,1,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,3,7,5,1,8,4,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>{{1,2,8},{3,4,7},{5,6}}=>[3,3,2]
[6,5,2,7,1,8,3,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>{{1,2,8},{3,7},{4,5,6}}=>[3,3,2]
[8,5,2,7,4,1,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,1,2,4,5,3,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>{{1,2,3,4,5,6},{7,8}}=>[6,2]
[5,6,3,2,1,4,8,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>{{1,2,3,4,6},{5},{7,8}}=>[5,2,1]
[2,1,6,3,5,4,8,7]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>{{1,2},{3,4,5,6},{7,8}}=>[4,2,2]
[6,4,3,5,1,2,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>{{1,2,3,4,5,6},{7,8}}=>[6,2]
[8,1,4,7,2,6,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[2,1,8,5,7,3,4,6]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2},{3,4,5,6,7,8}}=>[6,2]
[8,6,3,5,1,7,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,8,2,4,6,7,3,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[7,5,4,8,1,6,3,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[8,5,3,7,4,1,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[2,1,4,8,3,7,6,5]=>[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]=>{{1,2},{3,5,6,7,8},{4}}=>[5,2,1]
[7,4,3,8,2,1,6,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[6,3,7,4,1,8,2,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>{{1,2,8},{3,4,7},{5,6}}=>[3,3,2]
[8,3,1,2,5,7,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[3,1,8,2,7,6,5,4]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,4,5,6,7,8},{2,3}}=>[6,2]
[3,8,2,1,7,5,6,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[2,8,1,3,6,5,7,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[8,1,2,3,5,6,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,8,2,4,3,6,1,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[6,8,3,2,4,1,7,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[2,1,8,3,4,6,7,5]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2},{3,4,5,6,7,8}}=>[6,2]
[2,1,7,8,5,4,3,6]=>[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>{{1,2},{3,4,5,6,8},{7}}=>[5,2,1]
[7,1,8,4,5,3,2,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[8,7,1,6,3,4,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[3,8,6,7,2,4,1,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[5,3,8,7,4,2,6,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[8,3,6,1,4,2,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,3,5,8,2,4,1,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[4,1,3,2,8,5,7,6]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>{{1,2,3,4},{5,6,7,8}}=>[4,4]
[2,1,4,3,8,5,7,6]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>{{1,2},{3,4},{5,6,7,8}}=>[4,2,2]
[8,3,5,6,2,7,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,8,5,6,1,4,2,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[2,8,6,5,4,7,1,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[8,1,6,4,5,7,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,8,3,6,1,7,2,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[2,1,8,6,5,7,3,4]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2},{3,4,5,6,7,8}}=>[6,2]
[7,1,4,2,5,6,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[8,5,2,4,6,1,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,3,5,4,6,1,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[6,5,2,1,4,3,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>{{1,2,3,4,5,6},{7,8}}=>[6,2]
[6,5,2,7,4,8,3,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>{{1,2,8},{3,7},{4,5,6}}=>[3,3,2]
[8,5,2,7,4,1,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,3,7,5,2,1,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,3,7,5,2,8,4,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>{{1,2,8},{3,4,7},{5,6}}=>[3,3,2]
[6,3,1,5,2,4,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>{{1,2,3,4,5,6},{7,8}}=>[6,2]
[3,1,6,5,4,2,8,7]=>[1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0]=>{{1,4,5,6},{2,3},{7,8}}=>[4,2,2]
[5,4,3,6,1,2,8,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0]=>{{1,2,6},{3,4,5},{7,8}}=>[3,3,2]
[5,6,3,2,4,1,8,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>{{1,2,3,4,6},{5},{7,8}}=>[5,2,1]
[3,6,2,4,1,5,8,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]=>{{1,2,4,5,6},{3},{7,8}}=>[5,2,1]
[6,7,2,3,4,8,5,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>{{1,2,8},{3,4,5,7},{6}}=>[4,3,1]
[8,7,2,3,4,1,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,1,7,3,8,4,6,2]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5},{6,7}}=>[4,2,2]
[5,6,3,7,4,8,1,2]=>[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>{{1,2,8},{3,7},{4,6},{5}}=>[3,2,2,1]
[2,1,8,7,4,3,6,5]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2},{3,4,5,6,7,8}}=>[6,2]
[5,8,3,7,4,2,6,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[3,8,7,4,1,2,6,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[7,8,1,3,5,2,6,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[5,8,7,3,2,6,1,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[2,8,6,3,1,5,7,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[8,1,6,3,2,5,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[2,8,4,1,6,3,7,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[3,8,4,2,5,7,1,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[6,8,3,5,2,7,4,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[2,1,8,5,3,7,4,6]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2},{3,4,5,6,7,8}}=>[6,2]
[2,1,5,3,8,7,6,4]=>[1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0]=>{{1,2},{3,6,7,8},{4,5}}=>[4,2,2]
[6,5,3,2,8,7,1,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[7,5,2,4,8,1,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[4,1,2,8,7,5,6,3]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>{{1,5,6,7,8},{2,3,4}}=>[5,3]
[8,4,2,1,7,5,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[4,3,1,8,6,7,5,2]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>{{1,5,6,7,8},{2,3,4}}=>[5,3]
[7,3,5,4,8,6,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[6,4,3,5,8,1,7,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[2,1,7,6,5,8,3,4]=>[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>{{1,2},{3,4,8},{5,6,7}}=>[3,3,2]
[8,6,2,5,1,7,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[4,1,2,3,6,8,7,5]=>[1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0]=>{{1,2,3,4},{5,7,8},{6}}=>[4,3,1]
[2,4,3,1,8,5,6,7]=>[1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0]=>{{1,3,4},{2},{5,6,7,8}}=>[4,3,1]
[7,5,2,8,3,4,6,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[8,7,2,1,4,5,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,7,8,6,3,4,1,2]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,6,8},{5},{7}}=>[6,1,1]
[7,1,8,5,4,3,6,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[2,1,7,8,5,4,6,3]=>[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>{{1,2},{3,4,5,6,8},{7}}=>[5,2,1]
[2,1,5,8,4,6,3,7]=>[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>{{1,2},{3,4,6,7,8},{5}}=>[5,2,1]
[6,5,3,8,4,1,2,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[7,5,8,4,3,6,2,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[8,4,1,3,7,2,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[3,1,8,2,4,7,6,5]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,4,5,6,7,8},{2,3}}=>[6,2]
[7,4,3,8,2,5,1,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[2,1,4,8,3,5,7,6]=>[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]=>{{1,2},{3,5,6,7,8},{4}}=>[5,2,1]
[6,8,2,4,3,5,1,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[3,8,2,1,4,6,5,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[2,8,1,3,4,5,7,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[7,8,5,6,1,4,3,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,8,4,2,1,5,3,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,8,2,1,6,5,3,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,8,1,4,6,2,5,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,8,3,5,4,2,1,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,8,4,1,2,3,6,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,8,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,8,2,6,4,1,3,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,8,1,6,5,4,3,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[2,1,8,7,5,4,3,6]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2},{3,4,5,6,7,8}}=>[6,2]
[5,3,7,1,6,4,8,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>{{1,8},{2,3,6,7},{4,5}}=>[4,2,2]
[6,1,2,5,8,7,4,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[6,3,1,8,4,2,7,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[6,4,2,1,5,3,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>{{1,2,3,4,5,6},{7,8}}=>[6,2]
[6,4,3,7,5,8,1,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>{{1,2,8},{3,7},{4,5,6}}=>[3,3,2]
[3,7,2,8,6,4,1,5]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,4,5,8},{3},{6,7}}=>[5,2,1]
[3,8,1,7,6,4,5,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[5,1,6,3,4,2,8,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]=>{{1,2,3,6},{4,5},{7,8}}=>[4,2,2]
[5,7,1,4,2,3,8,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,6,7},{5}}=>[5,2,1]
[6,3,4,5,8,7,1,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[6,2,4,1,8,3,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[6,1,4,2,8,5,3,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[6,7,5,8,1,4,3,2]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,7},{6}}=>[5,2,1]
[5,8,7,6,3,4,1,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[5,8,7,6,2,3,1,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[2,1,8,7,6,5,3,4]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2},{3,4,5,6,7,8}}=>[6,2]
[3,8,6,5,2,4,1,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[3,8,5,6,1,4,7,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[5,3,7,8,2,1,6,4]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>{{1,2,3,6,8},{4,5},{7}}=>[5,2,1]
[5,2,8,7,1,6,4,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[3,7,8,5,1,2,4,6]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,4,5,6,8},{3},{7}}=>[6,1,1]
[3,8,7,6,5,4,1,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[2,8,6,7,5,1,3,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[5,3,7,8,2,1,4,6]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>{{1,2,3,6,8},{4,5},{7}}=>[5,2,1]
[2,1,7,8,4,3,5,6]=>[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>{{1,2},{3,4,5,6,8},{7}}=>[5,2,1]
[7,8,1,2,5,4,6,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[8,4,1,3,7,6,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,5,2,1,8,7,4,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[7,3,8,6,1,2,5,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[1,3,2,8,4,6,5,7]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>{{1},{2,3},{4,5,6,7,8}}=>[5,2,1]
[1,3,2,8,4,7,5,6]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>{{1},{2,3},{4,5,6,7,8}}=>[5,2,1]
[2,8,4,1,6,5,3,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[2,8,4,1,5,6,7,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[2,8,7,4,1,6,3,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[7,2,8,5,1,6,4,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,2,8,5,4,1,6,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[2,8,5,3,4,1,6,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[2,8,7,6,1,4,5,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[2,8,6,5,7,3,1,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[7,2,8,4,5,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[6,2,3,8,5,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[6,3,2,8,5,1,4,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[7,4,8,5,2,1,3,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[6,3,5,8,2,7,4,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[4,3,2,1,8,6,5,7]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>{{1,2,3,4},{5,6,7,8}}=>[4,4]
[4,2,1,3,8,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>{{1,2,3,4},{5,6,7,8}}=>[4,4]
[7,1,6,8,4,3,5,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[6,1,2,8,4,5,7,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[7,5,3,8,2,4,1,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[5,2,1,8,7,6,3,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>{{1,2,6,7,8},{3,4,5}}=>[5,3]
[7,1,3,8,4,6,2,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[5,7,8,4,3,6,2,1]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,6,8},{5},{7}}=>[6,1,1]
[2,3,4,8,6,1,7,5]=>[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>{{1,5,6,7,8},{2},{3},{4}}=>[5,1,1,1]
[2,3,4,8,6,5,1,7]=>[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>{{1,5,6,7,8},{2},{3},{4}}=>[5,1,1,1]
[5,2,4,7,1,8,3,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>{{1,2,8},{3,4,5},{6,7}}=>[3,3,2]
[7,3,5,6,8,4,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[6,3,5,1,8,2,7,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[5,2,1,7,6,8,4,3]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>{{1,2,8},{3,4,5},{6,7}}=>[3,3,2]
[5,6,4,7,2,8,1,3]=>[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>{{1,2,8},{3,7},{4,6},{5}}=>[3,2,2,1]
[5,2,1,4,3,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>{{1,2,3,4,5},{6,7,8}}=>[5,3]
[5,3,4,1,2,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>{{1,2,3,4,5},{6,7,8}}=>[5,3]
[4,3,5,1,8,2,7,6]=>[1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0]=>{{1,6,7,8},{2,5},{3,4}}=>[4,2,2]
[3,5,7,8,6,1,4,2]=>[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>{{1,2,4,6,8},{3},{5},{7}}=>[5,1,1,1]
[4,2,1,7,8,6,5,3]=>[1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]=>{{1,5,6,8},{2,3,4},{7}}=>[4,3,1]
[8,1,6,7,3,2,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,6,7,2,3,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,2,4,3,6,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,4,3,2,7,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,5,3,7,2,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,3,5,6,2,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,3,2,1,4,5,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>{{1,2,3,4,5,6},{7,8}}=>[6,2]
[3,7,8,5,6,2,1,4]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,4,5,6,8},{3},{7}}=>[6,1,1]
[3,7,8,4,2,6,1,5]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,4,5,6,8},{3},{7}}=>[6,1,1]
[3,7,8,2,4,5,1,6]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,4,5,6,8},{3},{7}}=>[6,1,1]
[5,4,2,3,1,8,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>{{1,2,3,4,5},{6,7,8}}=>[5,3]
[6,5,3,1,8,2,7,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[6,5,4,1,8,7,2,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[7,5,1,4,8,6,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[6,5,2,1,8,3,4,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[7,5,1,2,8,3,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[7,6,1,8,2,3,4,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[7,6,1,8,4,5,2,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[5,7,8,3,1,2,6,4]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,6,8},{5},{7}}=>[6,1,1]
[5,7,8,4,1,6,2,3]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,6,8},{5},{7}}=>[6,1,1]
[7,4,6,1,8,3,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[7,3,5,1,8,4,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[7,3,4,1,8,5,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[7,4,3,1,8,6,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[7,5,6,1,8,3,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[7,6,5,1,8,4,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[7,6,4,1,8,5,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[6,4,2,1,8,7,5,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[6,4,1,2,8,5,3,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[5,3,1,2,8,6,4,7]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>{{1,6,7,8},{2,3,4,5}}=>[4,4]
[4,3,1,2,8,6,5,7]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>{{1,2,3,4},{5,6,7,8}}=>[4,4]
[6,1,2,5,8,3,4,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[7,1,3,4,8,2,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[7,6,1,5,8,3,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[7,1,6,5,8,2,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[7,5,1,6,8,4,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[7,4,1,6,8,5,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[7,3,1,5,8,6,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[6,2,5,1,8,4,7,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[7,1,6,4,8,2,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[7,1,5,3,8,2,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[6,1,5,2,8,3,7,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[7,3,1,4,8,6,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[6,2,1,4,8,7,3,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[5,2,1,3,8,7,4,6]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>{{1,6,7,8},{2,3,4,5}}=>[4,4]
[7,4,1,3,8,5,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[6,1,4,2,8,3,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[7,1,4,3,8,2,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[7,6,1,4,8,3,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[5,1,3,2,8,4,7,6]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>{{1,6,7,8},{2,3,4,5}}=>[4,4]
[4,2,1,3,8,7,5,6]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>{{1,2,3,4},{5,6,7,8}}=>[4,4]
[7,1,3,5,8,2,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[7,8,5,6,1,3,4,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,8,1,3,6,2,5,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,8,4,2,5,1,3,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,8,1,5,4,6,3,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,8,2,1,6,3,4,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,8,3,5,6,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,8,4,5,3,1,6,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[2,1,8,4,7,3,6,5]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2},{3,4,5,6,7,8}}=>[6,2]
[3,5,8,4,7,6,1,2]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,4,6,7,8},{3},{5}}=>[6,1,1]
[4,6,2,5,3,1,8,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]=>{{1,2,3,5,6},{4},{7,8}}=>[5,2,1]
[5,7,3,6,1,4,8,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,6,7},{5}}=>[5,2,1]
[6,3,1,2,4,5,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>{{1,2,3,4,5,6},{7,8}}=>[6,2]
[6,4,7,3,5,8,1,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>{{1,2,8},{3,4,7},{5,6}}=>[3,3,2]
[2,1,6,8,4,5,3,7]=>[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]=>{{1,2},{3,4,5,7,8},{6}}=>[5,2,1]
[3,7,6,8,5,4,1,2]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,4,5,8},{3},{6,7}}=>[5,2,1]
[3,1,8,5,4,6,7,2]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,4,5,6,7,8},{2,3}}=>[6,2]
[5,7,8,6,3,2,1,4]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,6,8},{5},{7}}=>[6,1,1]
[5,7,8,6,1,3,4,2]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,6,8},{5},{7}}=>[6,1,1]
[7,6,5,8,1,3,4,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[7,2,1,4,8,3,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[6,7,1,5,2,8,3,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>{{1,2,8},{3,4,5,7},{6}}=>[4,3,1]
[6,1,5,2,8,3,4,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[6,8,1,3,7,5,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[6,8,1,2,3,4,7,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[2,1,4,7,8,5,6,3]=>[1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0]=>{{1,2},{3,5,6,8},{4},{7}}=>[4,2,1,1]
[5,2,8,4,6,1,7,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[5,2,1,8,6,3,7,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>{{1,2,6,7,8},{3,4,5}}=>[5,3]
[4,1,2,8,5,6,7,3]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>{{1,5,6,7,8},{2,3,4}}=>[5,3]
[5,3,8,7,6,2,4,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[5,8,4,7,6,2,1,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[5,8,7,4,3,6,1,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[6,4,2,8,7,1,3,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[6,3,1,8,7,2,4,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[5,8,3,7,1,6,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[5,8,7,4,1,6,2,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[6,8,5,1,2,3,7,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[6,8,5,2,4,3,7,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[6,8,5,3,1,2,7,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[2,1,7,5,8,6,4,3]=>[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>{{1,2},{3,4,5,8},{6,7}}=>[4,2,2]
[4,1,2,7,3,8,6,5]=>[1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0]=>{{1,5,8},{2,3,4},{6,7}}=>[3,3,2]
[7,1,4,2,5,3,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[3,2,7,8,1,6,5,4]=>[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]=>{{1,4,5,6,8},{2,3},{7}}=>[5,2,1]
[6,4,7,5,2,8,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>{{1,2,8},{3,4,7},{5,6}}=>[3,3,2]
[5,7,3,4,6,1,8,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,6,7},{5}}=>[5,2,1]
[5,2,8,4,7,1,6,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[5,8,4,7,3,1,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[6,3,1,8,2,4,7,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[8,5,4,1,2,6,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,1,8,4,2,7,3,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[6,8,5,3,1,7,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[8,4,5,1,2,6,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,3,2,7,8,5,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6},{7}}=>[4,3,1]
[6,4,7,2,8,1,5,3]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,7},{5,6}}=>[4,2,2]
[6,7,4,8,3,1,5,2]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,7},{6}}=>[5,2,1]
[8,1,3,4,6,2,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[3,8,2,4,6,7,1,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[8,4,3,6,5,1,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,5,4,3,1,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,5,4,1,6,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,8,5,4,1,3,6,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[6,8,5,4,2,1,7,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[5,8,6,2,4,1,7,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[3,2,8,6,5,1,7,4]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,4,5,6,7,8},{2,3}}=>[6,2]
[8,1,6,5,2,3,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,7,2,6,3,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,1,8,2,6,4,3,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[5,1,8,3,2,7,4,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[3,2,8,7,1,6,5,4]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,4,5,6,7,8},{2,3}}=>[6,2]
[5,8,7,2,1,6,4,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[8,7,6,1,5,4,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,7,1,4,5,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,6,8,1,4,3,5,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[5,7,8,2,1,4,6,3]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,6,8},{5},{7}}=>[6,1,1]
[3,2,7,8,1,5,6,4]=>[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]=>{{1,4,5,6,8},{2,3},{7}}=>[5,2,1]
[7,5,8,3,1,4,6,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[8,4,3,7,1,6,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,4,3,8,2,1,7,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[5,4,3,2,8,1,7,6]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>{{1,6,7,8},{2,3,4,5}}=>[4,4]
[3,2,5,4,8,1,7,6]=>[1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0]=>{{1,6,7,8},{2,3},{4,5}}=>[4,2,2]
[8,5,1,4,2,3,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,1,2,5,3,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,8,1,2,3,5,6,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[6,8,1,2,4,3,7,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[3,2,8,1,4,5,7,6]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,4,5,6,7,8},{2,3}}=>[6,2]
[5,8,7,3,4,1,2,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[6,7,3,8,5,1,2,4]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,7},{6}}=>[5,2,1]
[6,7,4,5,1,8,3,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>{{1,2,8},{3,4,5,7},{6}}=>[4,3,1]
[5,4,7,6,2,3,8,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>{{1,8},{2,3,6,7},{4,5}}=>[4,2,2]
[5,4,7,6,8,1,2,3]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5},{6,7}}=>[4,2,2]
[5,3,7,8,6,1,2,4]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>{{1,2,3,6,8},{4,5},{7}}=>[5,2,1]
[8,2,4,5,1,6,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,3,2,5,4,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[4,3,1,7,6,8,5,2]=>[1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0]=>{{1,5,8},{2,3,4},{6,7}}=>[3,3,2]
[3,8,2,1,7,5,4,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[8,3,2,1,6,5,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,4,2,6,1,5,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,2,7,8,1,6,3,4]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>{{1,2,3,6,8},{4,5},{7}}=>[5,2,1]
[5,3,7,2,6,4,8,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>{{1,8},{2,3,6,7},{4,5}}=>[4,2,2]
[6,7,3,1,5,8,4,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>{{1,2,8},{3,4,5,7},{6}}=>[4,3,1]
[6,7,2,1,8,5,4,3]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,7},{6}}=>[4,3,1]
[6,7,2,8,1,5,3,4]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,7},{6}}=>[5,2,1]
[8,5,6,2,1,4,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,8,7,1,2,3,4,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[6,7,1,2,8,4,5,3]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,7},{6}}=>[4,3,1]
[6,7,1,3,4,8,5,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>{{1,2,8},{3,4,5,7},{6}}=>[4,3,1]
[5,1,7,8,2,3,6,4]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>{{1,2,3,6,8},{4,5},{7}}=>[5,2,1]
[3,8,1,2,7,4,5,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[3,1,8,2,7,4,6,5]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,4,5,6,7,8},{2,3}}=>[6,2]
[4,1,3,7,5,8,6,2]=>[1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0]=>{{1,5,8},{2,3,4},{6,7}}=>[3,3,2]
[2,1,8,3,4,7,6,5]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2},{3,4,5,6,7,8}}=>[6,2]
[6,5,2,8,4,7,3,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[6,3,4,5,8,7,2,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[5,8,1,4,7,2,3,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[5,1,4,8,6,3,7,2]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>{{1,2,6,7,8},{3,4,5}}=>[5,3]
[6,3,7,5,2,8,1,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>{{1,2,8},{3,4,7},{5,6}}=>[3,3,2]
[6,5,2,7,4,8,1,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>{{1,2,8},{3,7},{4,5,6}}=>[3,3,2]
[5,8,1,4,6,7,2,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[6,3,7,4,2,8,5,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>{{1,2,8},{3,4,7},{5,6}}=>[3,3,2]
[8,2,6,3,4,7,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,8,3,1,7,2,5,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[8,7,5,2,6,4,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,1,6,2,5,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,8,1,6,3,2,5,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[2,8,1,7,3,5,6,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[6,7,3,1,8,4,2,5]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,7},{6}}=>[4,3,1]
[7,6,1,8,4,3,2,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[7,1,2,8,3,5,4,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[6,3,7,2,1,8,4,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>{{1,2,8},{3,4,7},{5,6}}=>[3,3,2]
[8,2,6,1,7,3,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,5,4,8,2,7,3,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[6,5,1,8,7,4,2,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[8,6,4,7,5,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,1,8,3,7,6,2,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[5,4,8,1,7,2,6,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[7,2,8,6,4,3,5,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[2,1,8,7,5,6,3,4]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2},{3,4,5,6,7,8}}=>[6,2]
[7,1,8,6,5,3,2,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[6,8,7,2,5,4,3,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[6,7,4,8,3,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,7},{6}}=>[5,2,1]
[6,7,4,5,2,8,1,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>{{1,2,8},{3,4,5,7},{6}}=>[4,3,1]
[6,8,4,5,3,7,1,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[5,8,4,6,3,7,1,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[5,6,3,7,2,8,1,4]=>[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>{{1,2,8},{3,7},{4,6},{5}}=>[3,2,2,1]
[5,8,4,6,2,7,1,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[6,8,4,5,2,7,1,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[7,8,4,5,2,6,1,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[6,8,4,5,2,3,1,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[5,8,4,6,2,3,1,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[5,8,3,6,2,4,1,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[6,8,3,5,2,4,1,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[7,8,3,5,2,4,1,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,8,3,5,2,6,1,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[6,8,3,5,2,7,1,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[5,8,3,6,2,7,1,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[6,7,3,5,2,8,1,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>{{1,2,8},{3,4,5,7},{6}}=>[4,3,1]
[6,7,3,8,2,5,1,4]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,7},{6}}=>[5,2,1]
[6,7,4,8,2,5,1,3]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,7},{6}}=>[5,2,1]
[6,7,5,8,2,4,1,3]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,7},{6}}=>[5,2,1]
[6,8,5,7,2,3,1,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[6,7,4,8,2,3,1,5]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,7},{6}}=>[5,2,1]
[6,7,3,8,2,4,1,5]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,7},{6}}=>[5,2,1]
[6,7,3,4,2,8,1,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>{{1,2,8},{3,4,5,7},{6}}=>[4,3,1]
[5,8,4,7,2,3,1,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[6,8,4,7,2,3,1,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[7,8,4,6,2,3,1,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,8,3,6,2,4,1,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[6,8,3,7,2,4,1,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[5,8,3,7,2,4,1,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[5,8,3,4,2,7,1,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[6,8,3,4,2,7,1,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[7,8,3,4,2,6,1,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[6,8,3,4,2,5,1,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[5,8,3,4,2,6,1,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[4,6,5,2,1,3,8,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]=>{{1,2,3,5,6},{4},{7,8}}=>[5,2,1]
[5,6,4,2,3,1,8,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>{{1,2,3,4,6},{5},{7,8}}=>[5,2,1]
[6,4,5,3,1,2,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>{{1,2,3,4,5,6},{7,8}}=>[6,2]
[5,4,6,1,3,2,8,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]=>{{1,2,3,6},{4,5},{7,8}}=>[4,2,2]
[7,4,8,1,6,5,3,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[6,4,7,1,8,2,5,3]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,7},{5,6}}=>[4,2,2]
[8,5,7,6,4,2,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[2,1,6,8,7,4,3,5]=>[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]=>{{1,2},{3,4,5,7,8},{6}}=>[5,2,1]
[2,1,7,8,6,4,5,3]=>[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>{{1,2},{3,4,5,6,8},{7}}=>[5,2,1]
[8,4,7,3,6,2,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,6,8,5,2,4,3,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[5,7,8,6,2,3,1,4]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,6,8},{5},{7}}=>[6,1,1]
[5,8,7,6,3,2,1,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[6,8,7,5,3,2,4,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[7,8,4,2,6,5,3,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[3,7,1,8,6,4,5,2]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,4,5,8},{3},{6,7}}=>[5,2,1]
[6,7,4,2,8,1,5,3]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,7},{6}}=>[4,3,1]
[6,8,4,2,7,5,1,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[2,1,8,6,7,5,3,4]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2},{3,4,5,6,7,8}}=>[6,2]
[8,6,4,3,7,5,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,8,6,7,3,1,2,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[6,7,5,8,1,3,4,2]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,7},{6}}=>[5,2,1]
[7,6,5,8,1,4,3,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[7,6,4,3,8,1,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[2,1,7,6,8,3,5,4]=>[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>{{1,2},{3,4,5,8},{6,7}}=>[4,2,2]
[7,4,6,3,8,1,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[7,5,6,8,1,4,2,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[5,1,8,4,7,6,2,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[8,1,3,7,4,6,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,2,8,7,4,6,1,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[5,1,7,8,6,2,4,3]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>{{1,2,3,6,8},{4,5},{7}}=>[5,2,1]
[8,5,2,1,4,3,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[3,4,1,2,8,6,5,7]=>[1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]=>{{1,2,4},{3},{5,6,7,8}}=>[4,3,1]
[8,5,2,7,3,1,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,4,5,6,3,1,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[8,5,6,4,2,1,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,5,4,1,6,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,1,2,3,8,5,7,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[7,1,2,3,6,5,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[7,2,1,3,8,6,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[5,8,2,4,1,3,7,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[8,7,2,6,3,4,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[3,1,8,6,4,2,7,5]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,4,5,6,7,8},{2,3}}=>[6,2]
[8,1,6,7,4,3,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[3,5,8,7,2,4,1,6]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,4,6,7,8},{3},{5}}=>[6,1,1]
[4,2,1,3,7,8,5,6]=>[1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0]=>{{1,2,3,4},{5,6,8},{7}}=>[4,3,1]
[8,6,1,3,7,2,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,1,8,3,2,4,6,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[5,2,7,8,6,4,1,3]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>{{1,2,3,6,8},{4,5},{7}}=>[5,2,1]
[7,8,3,6,5,2,1,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[8,2,5,1,7,3,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,2,4,7,5,8,1,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>{{1,2,8},{3,7},{4,5,6}}=>[3,3,2]
[7,2,5,1,8,3,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[7,8,2,1,4,3,5,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,6,4,2,3,1,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[8,2,5,4,6,7,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,2,6,4,3,1,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,2,7,4,1,3,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,8,4,7,2,1,6,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[6,8,7,3,2,5,1,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[5,3,8,1,2,7,4,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[5,1,8,3,2,6,4,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[6,7,3,8,5,2,1,4]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,7},{6}}=>[5,2,1]
[7,8,3,4,2,1,6,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[6,3,4,1,2,5,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>{{1,2,3,4,5,6},{7,8}}=>[6,2]
[8,6,3,2,4,1,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,3,2,6,7,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,2,3,1,4,5,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[5,6,3,4,1,2,8,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>{{1,2,3,4,6},{5},{7,8}}=>[5,2,1]
[7,8,3,5,4,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[6,8,3,7,5,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[2,1,7,8,5,6,3,4]=>[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>{{1,2},{3,4,5,6,8},{7}}=>[5,2,1]
[7,5,8,4,2,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[8,6,3,7,5,2,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,3,7,2,6,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,7,4,2,6,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,8,4,6,1,5,2,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,8,1,6,4,5,2,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[6,8,1,7,4,5,2,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[6,8,1,7,3,5,2,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[7,8,1,6,3,5,2,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,8,3,6,1,5,2,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,8,3,6,4,5,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,8,2,6,4,5,1,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,8,2,6,3,5,1,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,8,2,6,1,5,3,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,8,1,6,2,5,3,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[5,8,1,7,2,6,3,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[5,8,2,7,1,6,3,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[6,8,2,7,1,5,3,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[6,8,2,7,3,5,1,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[6,8,2,7,4,5,1,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[6,8,3,7,4,5,1,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[3,8,6,7,4,5,1,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[2,8,6,7,4,5,1,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[2,8,6,7,3,5,1,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[2,8,6,7,1,5,3,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[2,8,5,7,1,6,3,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[2,8,1,7,5,6,3,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[2,8,1,7,4,6,3,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[2,8,4,7,1,6,3,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[2,8,4,7,3,6,1,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[2,8,5,7,3,6,1,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[3,8,5,7,4,6,1,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[5,8,3,7,4,6,1,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[5,8,2,7,4,6,1,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[5,8,2,7,3,6,1,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[6,8,3,7,1,5,2,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[5,8,1,7,3,6,2,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[5,8,1,7,4,6,2,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[5,8,4,7,1,6,2,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[6,8,4,7,1,5,2,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[6,8,5,7,1,4,2,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[5,8,6,7,3,4,1,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[5,8,6,7,2,4,1,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[5,8,6,7,1,4,2,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[3,8,1,7,5,6,2,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[3,8,5,7,1,6,2,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[3,8,6,7,1,5,2,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[3,8,6,7,2,5,1,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[3,8,5,7,2,6,1,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[3,8,4,7,2,6,1,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[3,8,4,7,1,6,2,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[3,8,1,7,4,6,2,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[3,8,1,7,2,6,4,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[3,8,2,7,1,6,4,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[3,8,2,7,4,6,1,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[3,8,2,7,5,6,1,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[3,8,4,7,5,6,1,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[2,8,4,7,5,6,1,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[2,8,3,7,5,6,1,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[2,8,3,7,4,6,1,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[2,8,3,7,1,6,4,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[2,8,1,7,3,6,4,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[7,5,2,8,6,4,1,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[7,5,1,8,6,2,3,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[7,4,8,6,1,5,2,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,1,8,4,5,2,6,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,1,8,3,5,6,2,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,3,8,6,2,5,1,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,4,2,8,6,1,3,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[6,8,1,7,2,3,4,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[5,3,1,4,8,2,6,7]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>{{1,6,7,8},{2,3,4,5}}=>[4,4]
[5,2,4,8,6,1,3,7]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>{{1,2,6,7,8},{3,4,5}}=>[5,3]
[5,3,8,2,4,7,1,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[5,4,3,8,1,2,7,6]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>{{1,2,6,7,8},{3,4,5}}=>[5,3]
[6,4,2,8,1,3,7,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[5,8,1,4,2,6,3,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[5,8,4,1,2,7,6,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[6,5,1,2,8,7,3,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[6,5,3,1,4,2,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>{{1,2,3,4,5,6},{7,8}}=>[6,2]
[8,3,1,5,4,7,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,4,1,5,7,3,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,3,6,1,4,7,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,2,6,1,4,3,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,2,1,4,3,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,3,1,4,6,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,6,3,2,5,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,3,5,1,6,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,2,5,1,3,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,4,6,5,7,1,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,6,5,2,1,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,3,8,4,5,6,1,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[3,8,7,5,4,6,1,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[7,8,1,4,2,6,5,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[6,5,1,3,4,2,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>{{1,2,3,4,5,6},{7,8}}=>[6,2]
[5,8,3,6,1,4,2,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[7,6,1,8,3,2,4,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[7,1,8,6,3,4,2,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,8,1,6,5,3,2,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,8,2,1,4,5,6,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[2,8,1,5,4,6,7,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[7,6,5,8,1,4,2,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[5,8,6,7,3,2,1,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[7,8,1,3,4,2,6,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[2,8,5,7,4,3,1,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[7,2,5,8,3,4,1,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[5,3,8,7,1,2,6,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[6,5,3,8,2,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[3,5,7,8,4,1,2,6]=>[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>{{1,2,4,6,8},{3},{5},{7}}=>[5,1,1,1]
[6,3,7,5,8,4,1,2]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,7},{5,6}}=>[4,2,2]
[7,8,3,2,5,1,4,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,8,1,2,5,6,3,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[2,1,8,6,4,7,3,5]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2},{3,4,5,6,7,8}}=>[6,2]
[7,1,3,6,8,4,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[7,1,5,8,3,6,2,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[5,8,7,1,2,4,3,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[6,8,5,1,3,4,2,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[7,8,5,4,1,3,2,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,8,2,3,4,1,6,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,2,3,5,4,1,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[5,8,7,6,3,1,2,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[7,5,6,8,1,4,3,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[5,2,7,1,8,4,6,3]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5},{6,7}}=>[4,2,2]
[6,3,1,2,8,4,5,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[4,2,1,3,6,5,8,7]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]=>{{1,2,3,4},{5,6},{7,8}}=>[4,2,2]
[7,8,2,1,4,5,3,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,8,4,1,5,3,6,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,5,1,6,4,3,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[5,8,1,6,3,4,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[6,8,1,7,5,2,3,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[5,6,1,7,4,8,2,3]=>[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>{{1,2,8},{3,7},{4,6},{5}}=>[3,2,2,1]
[7,8,5,1,6,4,2,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[8,1,6,5,7,2,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,1,6,5,8,3,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[3,8,6,4,2,7,5,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[7,8,1,6,2,4,5,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[2,8,1,7,4,3,6,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[6,7,1,4,8,3,2,5]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,7},{6}}=>[4,3,1]
[6,1,2,8,4,3,5,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[5,1,2,4,8,3,6,7]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>{{1,6,7,8},{2,3,4,5}}=>[4,4]
[4,1,3,2,8,5,6,7]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>{{1,2,3,4},{5,6,7,8}}=>[4,4]
[4,3,6,1,5,8,2,7]=>[1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0]=>{{1,7,8},{2,5,6},{3,4}}=>[3,3,2]
[8,4,2,1,7,3,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,4,2,1,8,5,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[5,4,3,2,1,8,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>{{1,2,3,4,5},{6,7,8}}=>[5,3]
[3,7,6,8,4,5,2,1]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,4,5,8},{3},{6,7}}=>[5,2,1]
[6,3,5,8,4,7,2,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[5,4,3,8,6,7,2,1]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>{{1,2,6,7,8},{3,4,5}}=>[5,3]
[3,2,8,5,7,4,6,1]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,4,5,6,7,8},{2,3}}=>[6,2]
[2,1,8,7,4,6,3,5]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2},{3,4,5,6,7,8}}=>[6,2]
[3,1,8,5,7,6,2,4]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,4,5,6,7,8},{2,3}}=>[6,2]
[6,1,5,8,7,4,2,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[5,8,6,7,4,3,2,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[8,2,1,4,3,6,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[2,1,6,4,3,5,8,7]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>{{1,2},{3,4,5,6},{7,8}}=>[4,2,2]
[6,4,2,1,3,5,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>{{1,2,3,4,5,6},{7,8}}=>[6,2]
[8,4,2,1,3,6,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,4,2,1,6,3,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,4,2,1,8,3,5,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[6,8,2,1,4,3,5,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[8,6,2,1,4,3,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[2,8,1,4,6,3,5,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[6,2,4,1,8,3,5,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[4,2,1,3,6,8,5,7]=>[1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0]=>{{1,2,3,4},{5,7,8},{6}}=>[4,3,1]
[2,1,4,3,8,6,5,7]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>{{1,2},{3,4},{5,6,7,8}}=>[4,2,2]
[2,4,1,3,8,6,5,7]=>[1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0]=>{{1,3,4},{2},{5,6,7,8}}=>[4,3,1]
[4,2,1,3,8,6,5,7]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>{{1,2,3,4},{5,6,7,8}}=>[4,4]
[4,2,1,8,3,6,5,7]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>{{1,5,6,7,8},{2,3,4}}=>[5,3]
[4,2,1,8,6,3,5,7]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>{{1,5,6,7,8},{2,3,4}}=>[5,3]
[8,2,1,6,4,3,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[2,1,4,8,3,6,5,7]=>[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]=>{{1,2},{3,5,6,7,8},{4}}=>[5,2,1]
[2,1,8,6,4,3,5,7]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2},{3,4,5,6,7,8}}=>[6,2]
[2,8,6,1,4,3,5,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[2,8,6,4,1,3,5,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[3,2,6,1,5,4,8,7]=>[1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0]=>{{1,4,5,6},{2,3},{7,8}}=>[4,2,2]
[6,1,5,2,4,3,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>{{1,2,3,4,5,6},{7,8}}=>[6,2]
[6,1,3,2,5,4,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>{{1,2,3,4,5,6},{7,8}}=>[6,2]
[4,3,5,2,8,1,7,6]=>[1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0]=>{{1,6,7,8},{2,5},{3,4}}=>[4,2,2]
[2,1,5,4,8,3,7,6]=>[1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0]=>{{1,2},{3,6,7,8},{4,5}}=>[4,2,2]
[5,4,7,6,8,1,3,2]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5},{6,7}}=>[4,2,2]
[6,3,5,4,8,1,7,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[7,1,6,3,8,4,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[7,1,6,5,8,3,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[7,4,6,5,8,1,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[8,4,6,1,3,2,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,6,3,4,2,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,3,5,2,6,1,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,3,5,2,6,4,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[8,2,7,1,5,3,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,7,2,4,3,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,3,2,7,4,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[2,1,8,3,7,4,6,5]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2},{3,4,5,6,7,8}}=>[6,2]
[2,1,8,3,5,4,7,6]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2},{3,4,5,6,7,8}}=>[6,2]
[8,1,3,2,5,4,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,5,2,4,3,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,2,4,1,5,3,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,2,4,1,7,3,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[3,2,8,4,6,1,7,5]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,4,5,6,7,8},{2,3}}=>[6,2]
[3,2,8,1,7,4,6,5]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,4,5,6,7,8},{2,3}}=>[6,2]
[3,2,8,1,5,4,7,6]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,4,5,6,7,8},{2,3}}=>[6,2]
[3,2,4,1,8,5,7,6]=>[1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0]=>{{1,4},{2,3},{5,6,7,8}}=>[4,2,2]
[4,1,3,2,7,6,8,5]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0]=>{{1,2,3,4},{5,8},{6,7}}=>[4,2,2]
[3,2,7,6,8,1,5,4]=>[1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0]=>{{1,4,5,8},{2,3},{6,7}}=>[4,2,2]
[3,2,7,1,8,5,6,4]=>[1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0]=>{{1,4,5,8},{2,3},{6,7}}=>[4,2,2]
[7,2,4,1,8,5,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[7,6,8,1,5,2,4,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,6,8,1,3,2,5,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,1,8,5,6,2,4,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,1,8,2,6,4,5,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,2,8,1,5,4,6,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[5,4,7,2,6,3,8,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>{{1,8},{2,3,6,7},{4,5}}=>[4,2,2]
[5,4,8,2,6,1,7,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[6,5,7,4,8,1,3,2]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,7},{5,6}}=>[4,2,2]
[2,8,3,1,5,4,6,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[8,1,5,3,2,4,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[3,8,1,5,2,4,6,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[5,4,1,3,8,2,6,7]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>{{1,6,7,8},{2,3,4,5}}=>[4,4]
[8,1,5,3,7,4,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,1,6,8,4,3,2,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[6,7,1,4,2,8,3,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>{{1,2,8},{3,4,5,7},{6}}=>[4,3,1]
[6,3,7,1,4,8,2,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>{{1,2,8},{3,4,7},{5,6}}=>[3,3,2]
[3,7,8,1,5,2,4,6]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,4,5,6,8},{3},{7}}=>[6,1,1]
[7,1,2,8,5,3,4,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[4,2,1,7,8,5,3,6]=>[1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]=>{{1,5,6,8},{2,3,4},{7}}=>[4,3,1]
[6,2,4,8,3,7,5,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[7,2,6,3,4,1,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[2,1,7,3,5,8,4,6]=>[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>{{1,2},{3,4,8},{5,6,7}}=>[3,3,2]
[8,7,1,3,6,2,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,2,1,7,3,5,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,8,2,6,3,1,5,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[2,8,4,1,6,7,5,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[2,1,8,4,7,5,6,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2},{3,4,5,6,7,8}}=>[6,2]
[8,3,7,1,5,6,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,1,2,7,5,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,6,2,7,4,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,2,1,8,6,7,4,3]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>{{1,2,6,7,8},{3,4,5}}=>[5,3]
[7,8,1,6,4,2,5,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[8,7,6,5,1,4,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,6,1,5,3,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,7,5,6,4,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,3,5,2,1,4,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>{{1,2,3,4,5,6},{7,8}}=>[6,2]
[8,3,5,7,2,4,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,2,7,4,3,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,5,3,1,2,4,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>{{1,2,3,4,5,6},{7,8}}=>[6,2]
[8,1,4,7,3,6,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,1,4,7,3,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,3,7,1,4,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,3,4,7,5,8,1,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>{{1,2,8},{3,7},{4,5,6}}=>[3,3,2]
[8,7,1,4,2,6,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,3,1,2,4,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[2,1,8,7,5,3,4,6]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2},{3,4,5,6,7,8}}=>[6,2]
[8,1,7,4,5,2,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[2,8,7,5,4,1,3,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[8,7,2,6,4,1,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,3,7,8,2,4,6,1]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>{{1,2,3,6,8},{4,5},{7}}=>[5,2,1]
[5,3,7,6,2,1,8,4]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>{{1,8},{2,3,6,7},{4,5}}=>[4,2,2]
[5,7,8,6,4,2,1,3]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,6,8},{5},{7}}=>[6,1,1]
[6,7,3,5,1,8,2,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>{{1,2,8},{3,4,5,7},{6}}=>[4,3,1]
[7,3,1,5,4,2,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[8,4,1,5,2,7,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,2,5,1,4,3,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[6,2,7,5,3,8,1,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>{{1,2,8},{3,4,7},{5,6}}=>[3,3,2]
[7,1,8,5,3,6,4,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[5,8,3,2,7,1,6,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[8,7,2,6,1,5,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[3,8,6,1,7,2,5,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[5,8,4,6,7,1,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[7,2,8,5,6,1,4,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[8,1,5,2,7,4,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,4,1,5,7,3,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,4,2,5,8,3,1,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[5,3,1,7,2,8,4,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>{{1,2,8},{3,4,5},{6,7}}=>[3,3,2]
[6,3,7,4,8,5,2,1]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,7},{5,6}}=>[4,2,2]
[6,3,1,8,4,7,5,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[5,2,8,1,7,3,6,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[5,3,8,7,2,1,6,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[8,2,7,6,5,1,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[3,5,8,7,2,6,1,4]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,4,6,7,8},{3},{5}}=>[6,1,1]
[7,5,8,6,4,3,2,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[5,8,7,3,6,4,2,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[3,8,7,6,5,1,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[2,8,7,6,5,4,1,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[7,8,5,6,3,1,4,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,8,5,3,6,1,2,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,5,8,3,1,4,2,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,8,5,3,1,4,2,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,8,5,3,1,6,2,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,8,5,3,1,6,4,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,8,5,3,6,1,4,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,8,5,3,6,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,8,5,3,4,1,6,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,8,5,3,1,4,6,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,5,8,3,1,2,6,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,5,8,3,4,1,6,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,5,8,3,4,6,1,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,5,6,3,4,1,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[7,5,6,3,1,4,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[7,5,3,1,6,4,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[7,5,3,6,1,4,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[7,5,3,6,4,1,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[7,5,3,8,4,6,1,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[7,5,3,8,4,1,6,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[7,5,3,8,1,4,6,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[7,5,3,1,8,4,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[7,5,3,1,8,2,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[7,5,3,1,8,4,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[7,5,3,1,8,6,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[7,5,3,8,1,6,4,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[7,5,3,8,6,1,4,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[7,5,3,8,6,4,1,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[7,5,8,3,6,4,1,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,5,8,3,6,1,4,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,5,8,3,1,6,4,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,5,8,3,1,6,2,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,5,3,8,1,6,2,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[7,5,3,8,1,4,2,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[7,5,3,8,4,1,2,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[7,5,3,8,6,1,2,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[7,5,8,6,3,1,2,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,5,8,6,3,1,4,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,5,8,6,3,4,1,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,5,6,8,3,1,4,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[7,5,6,3,8,1,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[7,5,6,3,8,1,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[7,5,6,3,8,4,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[7,5,3,6,8,4,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[7,5,3,6,8,1,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[7,5,3,4,1,6,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[6,8,1,2,4,5,7,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[8,3,5,2,4,1,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[2,1,6,8,4,7,3,5]=>[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]=>{{1,2},{3,4,5,7,8},{6}}=>[5,2,1]
[4,3,1,7,8,2,6,5]=>[1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]=>{{1,5,6,8},{2,3,4},{7}}=>[4,3,1]
[5,4,7,3,8,6,1,2]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5},{6,7}}=>[4,2,2]
[5,8,4,7,6,3,1,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[5,8,7,1,4,2,6,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[8,3,5,1,2,7,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,3,1,6,4,2,8,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0]=>{{1,2,6},{3,4,5},{7,8}}=>[3,3,2]
[2,8,5,3,1,6,4,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[2,1,7,3,8,5,4,6]=>[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>{{1,2},{3,4,5,8},{6,7}}=>[4,2,2]
[6,3,7,4,8,5,1,2]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,7},{5,6}}=>[4,2,2]
[4,2,1,7,3,8,5,6]=>[1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0]=>{{1,5,8},{2,3,4},{6,7}}=>[3,3,2]
[7,3,2,1,8,4,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[3,7,2,8,6,1,4,5]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,4,5,8},{3},{6,7}}=>[5,2,1]
[7,8,3,2,5,6,1,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,1,8,2,4,5,6,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[8,7,6,1,2,4,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,3,6,5,2,1,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,2,4,1,6,5,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,2,4,1,7,6,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,1,2,7,3,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,8,3,7,5,4,1,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[8,1,2,6,4,3,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,3,8,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[8,1,7,3,2,6,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[4,3,1,2,8,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>{{1,2,3,4},{5,6,7,8}}=>[4,4]
[5,1,4,3,2,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>{{1,2,3,4,5},{6,7,8}}=>[5,3]
[8,6,4,3,1,5,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,4,1,5,2,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,5,3,2,1,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,2,4,5,3,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,1,2,6,7,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,1,6,4,2,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,1,3,6,4,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,5,1,7,3,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,4,8,3,1,6,2,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,1,5,8,3,2,6,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[8,5,7,4,6,1,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[4,3,1,8,7,5,2,6]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>{{1,5,6,7,8},{2,3,4}}=>[5,3]
[7,1,6,4,8,5,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[7,3,6,8,5,1,2,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[6,1,2,7,8,5,3,4]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6},{7}}=>[4,3,1]
[6,1,2,7,4,8,5,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>{{1,2,8},{3,7},{4,5,6}}=>[3,3,2]
[8,7,6,4,1,5,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[3,8,2,7,1,5,4,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[8,5,7,6,1,4,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[2,1,5,8,6,4,3,7]=>[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>{{1,2},{3,4,6,7,8},{5}}=>[5,2,1]
[7,1,5,8,3,4,6,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[7,1,5,8,4,3,2,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[7,1,2,5,8,3,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[7,1,2,3,8,5,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[7,1,3,4,2,6,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[5,7,8,6,1,2,3,4]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,6,8},{5},{7}}=>[6,1,1]
[2,8,3,1,5,6,4,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[3,8,7,1,5,4,2,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[4,3,1,7,6,8,2,5]=>[1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0]=>{{1,5,8},{2,3,4},{6,7}}=>[3,3,2]
[5,8,1,6,4,3,2,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[5,8,1,6,3,7,2,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[7,6,5,1,3,4,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[7,2,6,4,1,3,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[8,4,5,3,7,2,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,3,8,4,1,5,2,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[6,7,5,8,2,1,4,3]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,7},{6}}=>[5,2,1]
[6,8,5,7,2,1,3,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[7,4,5,3,8,2,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[6,8,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[2,8,5,4,3,7,1,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[7,3,5,4,8,1,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[6,8,5,4,1,2,7,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[6,8,2,4,3,7,1,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[7,5,8,4,3,2,1,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,8,1,2,4,3,5,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,8,2,1,4,3,6,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[6,7,3,8,4,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,7},{6}}=>[5,2,1]
[6,7,4,5,1,8,2,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>{{1,2,8},{3,4,5,7},{6}}=>[4,3,1]
[5,6,4,7,1,8,2,3]=>[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>{{1,2,8},{3,7},{4,6},{5}}=>[3,2,2,1]
[7,8,4,5,1,6,2,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[2,8,3,6,1,5,4,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[2,8,3,4,1,6,5,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[7,8,1,5,3,6,2,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[6,7,1,5,3,8,2,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>{{1,2,8},{3,4,5,7},{6}}=>[4,3,1]
[6,7,1,8,2,5,3,4]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,7},{6}}=>[5,2,1]
[6,7,1,8,4,5,2,3]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,7},{6}}=>[5,2,1]
[6,7,5,8,1,4,2,3]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,7},{6}}=>[5,2,1]
[5,8,6,7,2,3,1,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[6,7,2,3,1,8,4,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>{{1,2,8},{3,4,5,7},{6}}=>[4,3,1]
[6,7,2,8,1,4,3,5]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,7},{6}}=>[5,2,1]
[6,7,3,4,1,8,2,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>{{1,2,8},{3,4,5,7},{6}}=>[4,3,1]
[7,8,2,3,1,6,4,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[2,8,1,4,3,7,5,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[2,8,1,7,3,5,4,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[3,8,1,5,2,7,4,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[7,8,3,4,1,6,2,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[3,6,5,4,1,2,8,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]=>{{1,2,4,5,6},{3},{7,8}}=>[5,2,1]
[3,6,5,1,2,4,8,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]=>{{1,2,4,5,6},{3},{7,8}}=>[5,2,1]
[5,2,3,6,4,1,8,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0]=>{{1,2,6},{3,4,5},{7,8}}=>[3,3,2]
[6,1,4,5,3,2,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>{{1,2,3,4,5,6},{7,8}}=>[6,2]
[2,1,5,8,7,6,3,4]=>[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>{{1,2},{3,4,6,7,8},{5}}=>[5,2,1]
[7,4,3,8,2,1,5,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[2,1,5,8,7,3,4,6]=>[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>{{1,2},{3,4,6,7,8},{5}}=>[5,2,1]
[8,5,7,3,6,1,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,2,3,4,8,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[2,1,7,4,5,8,6,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>{{1,2},{3,4,8},{5,6,7}}=>[3,3,2]
[2,1,8,3,6,7,5,4]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2},{3,4,5,6,7,8}}=>[6,2]
[6,8,7,2,5,3,1,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[8,2,1,6,4,7,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,8,2,5,6,1,4,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,8,4,2,5,1,6,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,6,8,4,2,5,3,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[8,5,7,1,6,3,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[4,1,2,3,7,6,8,5]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0]=>{{1,2,3,4},{5,8},{6,7}}=>[4,2,2]
[3,2,4,1,8,5,6,7]=>[1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0]=>{{1,4},{2,3},{5,6,7,8}}=>[4,2,2]
[4,1,6,3,5,8,7,2]=>[1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0]=>{{1,7,8},{2,5,6},{3,4}}=>[3,3,2]
[8,6,7,1,5,4,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[3,1,8,2,7,5,4,6]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,4,5,6,7,8},{2,3}}=>[6,2]
[8,2,3,1,7,4,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,4,8,6,3,2,5,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[5,8,4,7,2,1,3,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[2,1,8,4,3,7,5,6]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2},{3,4,5,6,7,8}}=>[6,2]
[5,8,2,4,3,1,6,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[7,3,5,8,1,4,2,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[3,8,7,6,1,4,2,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[5,1,8,3,6,7,2,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[6,8,1,3,5,7,2,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[8,4,2,6,7,5,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,4,1,6,8,2,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[8,7,3,6,4,5,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,7,8,6,2,1,4,3]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,6,8},{5},{7}}=>[6,1,1]
[3,8,5,4,6,2,1,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[2,8,7,6,3,4,1,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[5,8,2,6,3,4,1,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[7,6,1,2,8,3,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[5,7,8,4,1,2,6,3]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,6,8},{5},{7}}=>[6,1,1]
[6,5,4,1,2,3,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>{{1,2,3,4,5,6},{7,8}}=>[6,2]
[7,5,1,6,2,3,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[8,1,3,6,7,4,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,5,4,3,2,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,6,4,2,5,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,7,8,3,1,4,2,6]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,6,8},{5},{7}}=>[6,1,1]
[8,1,7,2,5,4,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,7,2,4,5,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,6,1,2,4,5,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[7,5,1,3,2,6,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[8,1,6,3,2,5,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,5,3,4,2,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,4,3,5,6,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,2,4,5,8,3,1,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[8,1,3,5,2,6,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,2,1,6,3,8,4,7]=>[1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0]=>{{1,7,8},{2,6},{3,4,5}}=>[3,3,2]
[6,1,4,5,8,3,2,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[6,5,4,3,8,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[8,5,4,7,6,2,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,8,7,3,1,4,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[8,5,7,4,3,6,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,4,6,1,7,3,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,6,2,1,4,3,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[7,6,8,1,4,3,2,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,5,2,3,1,6,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[3,1,7,5,2,8,4,6]=>[1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0]=>{{1,4,8},{2,3},{5,6,7}}=>[3,3,2]
[3,7,1,8,4,2,5,6]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,4,5,8},{3},{6,7}}=>[5,2,1]
[4,2,1,3,7,5,8,6]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0]=>{{1,2,3,4},{5,8},{6,7}}=>[4,2,2]
[8,4,2,1,3,7,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,4,3,7,6,2,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,3,2,8,1,6,5,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[3,8,7,2,6,5,4,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[5,8,4,2,7,1,6,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[8,5,3,1,7,2,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,2,1,6,3,7,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[2,1,7,3,8,6,5,4]=>[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>{{1,2},{3,4,5,8},{6,7}}=>[4,2,2]
[8,2,1,7,6,5,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,7,5,1,4,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,8,3,6,2,1,4,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[3,8,7,6,2,1,4,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[5,8,4,2,6,1,3,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[5,8,3,2,6,1,4,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[2,8,7,6,5,1,3,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[5,8,3,6,1,4,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[5,3,7,6,1,4,8,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>{{1,8},{2,3,6,7},{4,5}}=>[4,2,2]
[3,8,7,6,1,4,5,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[5,8,4,2,1,7,3,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[5,8,3,2,1,4,7,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[5,8,2,6,1,4,3,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[2,8,7,6,1,4,3,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[6,5,4,1,8,7,3,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[5,8,4,1,6,7,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[6,4,7,1,5,8,3,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>{{1,2,8},{3,4,7},{5,6}}=>[3,3,2]
[6,5,3,1,8,4,7,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[5,8,3,1,6,4,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[5,8,2,1,6,4,3,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[3,8,2,1,5,4,6,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[2,8,7,1,5,4,3,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[6,5,1,7,8,4,3,2]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6},{7}}=>[4,3,1]
[2,8,1,6,5,4,3,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[5,1,7,6,8,4,3,2]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5},{6,7}}=>[4,2,2]
[4,5,8,1,7,2,3,6]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4},{5}}=>[6,1,1]
[4,5,8,1,2,6,3,7]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4},{5}}=>[6,1,1]
[8,1,3,5,7,2,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,2,3,5,6,7,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,2,3,5,4,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[4,5,8,1,7,6,3,2]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4},{5}}=>[6,1,1]
[8,7,2,1,6,3,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,2,1,3,5,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,4,1,7,5,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,4,2,6,8,5,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[7,3,2,5,8,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[7,3,1,8,6,2,4,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[7,1,4,2,8,3,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[7,1,8,2,5,3,6,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,3,8,4,5,1,6,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[8,3,7,4,6,1,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,2,7,1,6,4,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,7,5,4,2,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,2,6,5,4,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,7,6,3,2,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,2,7,5,6,1,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,2,6,7,5,4,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,7,2,3,1,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,3,1,8,6,5,4,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[8,1,7,6,5,4,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[2,1,8,6,3,7,4,5]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2},{3,4,5,6,7,8}}=>[6,2]
[8,6,1,5,2,7,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,1,7,4,2,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[2,1,8,4,5,3,6,7]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2},{3,4,5,6,7,8}}=>[6,2]
[2,1,7,8,3,6,5,4]=>[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>{{1,2},{3,4,5,6,8},{7}}=>[5,2,1]
[2,1,4,8,5,7,3,6]=>[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]=>{{1,2},{3,5,6,7,8},{4}}=>[5,2,1]
[7,8,1,5,2,6,3,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[6,4,1,5,2,3,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>{{1,2,3,4,5,6},{7,8}}=>[6,2]
[5,8,3,7,6,2,1,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[8,5,2,7,4,6,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,8,2,1,7,6,4,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[8,3,2,4,1,7,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,8,3,1,5,4,6,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,2,8,1,4,6,5,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[6,2,3,1,4,5,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>{{1,2,3,4,5,6},{7,8}}=>[6,2]
[5,6,1,4,3,2,8,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>{{1,2,3,4,6},{5},{7,8}}=>[5,2,1]
[6,8,1,4,5,3,2,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[8,2,6,1,4,7,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,3,5,4,1,2,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>{{1,2,3,4,5,6},{7,8}}=>[6,2]
[8,7,3,6,5,1,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,8,5,4,3,7,2,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[5,8,4,3,2,1,7,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[8,7,5,4,3,1,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[3,5,7,8,4,1,6,2]=>[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>{{1,2,4,6,8},{3},{5},{7}}=>[5,1,1,1]
[3,5,8,2,4,1,6,7]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,4,6,7,8},{3},{5}}=>[6,1,1]
[3,7,2,8,4,5,6,1]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,4,5,8},{3},{6,7}}=>[5,2,1]
[3,8,2,1,4,5,6,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[4,5,8,3,2,1,6,7]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4},{5}}=>[6,1,1]
[5,1,2,8,4,3,6,7]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>{{1,2,6,7,8},{3,4,5}}=>[5,3]
[5,6,2,7,4,8,1,3]=>[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>{{1,2,8},{3,7},{4,6},{5}}=>[3,2,2,1]
[5,7,8,3,4,2,6,1]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,6,8},{5},{7}}=>[6,1,1]
[6,1,2,3,8,5,4,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[6,1,2,7,8,5,4,3]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6},{7}}=>[4,3,1]
[6,7,2,8,4,5,3,1]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,7},{6}}=>[5,2,1]
[7,1,2,3,8,5,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[7,1,2,8,4,5,6,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[7,1,8,3,4,5,6,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[6,4,1,8,2,3,7,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[5,8,1,2,4,3,7,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[5,8,1,6,2,4,3,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[3,5,8,6,1,2,4,7]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,4,6,7,8},{3},{5}}=>[6,1,1]
[7,1,8,6,3,4,5,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[5,1,7,8,6,4,3,2]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>{{1,2,3,6,8},{4,5},{7}}=>[5,2,1]
[7,1,8,6,3,2,4,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,8,1,6,4,2,3,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[8,4,1,2,5,6,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,3,1,6,5,2,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,8,7,4,2,6,1,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[5,1,8,4,7,6,3,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[7,3,2,6,5,1,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[8,2,3,6,5,1,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[2,8,7,6,3,4,5,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[7,2,8,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[6,3,2,8,5,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[8,4,7,2,5,6,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,8,5,4,3,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[5,8,6,4,1,3,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[3,4,1,2,8,6,7,5]=>[1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]=>{{1,2,4},{3},{5,6,7,8}}=>[4,3,1]
[6,8,3,5,4,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[7,2,5,8,3,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[7,6,3,8,5,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[5,8,7,4,1,6,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[4,2,3,1,7,8,5,6]=>[1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0]=>{{1,2,3,4},{5,6,8},{7}}=>[4,3,1]
[8,6,3,4,7,2,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,8,3,4,5,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[5,2,8,4,1,6,7,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[8,3,2,1,5,4,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,3,4,1,5,2,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,2,6,4,1,7,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,5,8,2,4,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[8,2,7,4,6,1,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[3,8,1,7,2,5,6,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[8,3,2,5,7,6,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[2,8,6,1,5,7,3,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[4,2,3,7,1,8,6,5]=>[1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0]=>{{1,5,8},{2,3,4},{6,7}}=>[3,3,2]
[8,2,1,6,7,3,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,7,3,2,4,1,8,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,6,7},{5}}=>[5,2,1]
[8,4,1,3,7,2,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[2,8,4,7,1,3,5,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[3,8,1,5,6,2,7,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[7,1,5,2,8,6,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[6,5,4,8,7,2,1,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[6,8,1,4,2,7,3,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[6,3,4,7,1,8,2,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>{{1,2,8},{3,7},{4,5,6}}=>[3,3,2]
[8,5,7,6,4,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,4,7,6,5,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,7,4,6,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,7,3,6,4,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,4,7,3,6,5,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,7,4,6,5,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,4,7,1,6,5,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,3,7,1,6,5,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,2,7,1,6,5,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,7,2,6,5,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,7,2,6,4,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,3,7,1,6,4,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,4,7,1,6,3,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,7,1,6,3,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,7,1,5,3,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,7,2,5,3,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,7,2,6,3,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,4,7,2,6,3,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,3,7,2,6,4,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,2,7,3,6,4,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,7,3,6,4,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,7,4,6,3,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,2,7,4,6,3,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,3,7,4,6,2,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,7,3,6,2,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,7,3,5,2,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,7,4,6,2,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,4,7,5,6,2,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,3,7,5,6,2,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,2,7,5,6,3,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,7,5,6,3,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,4,7,6,5,2,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,6,5,4,1,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,3,7,6,5,1,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,7,5,6,2,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,3,7,5,6,1,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,4,7,5,6,1,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,7,4,5,1,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,7,3,5,1,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,4,7,3,6,1,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,2,7,4,6,1,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,7,4,6,2,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,7,3,6,2,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,2,7,3,6,1,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,3,7,2,6,1,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,4,7,2,6,1,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,7,2,6,1,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,7,2,5,1,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,6,1,5,2,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,7,1,5,2,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,7,1,6,2,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,4,7,1,6,2,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,3,7,1,6,2,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,2,7,1,6,3,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[3,7,4,8,5,1,6,2]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,4,5,8},{3},{6,7}}=>[5,2,1]
[3,8,7,1,6,4,5,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[6,8,5,7,1,2,4,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[7,6,1,4,3,5,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[8,2,4,3,7,5,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,8,2,1,5,7,3,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[7,2,8,4,1,6,3,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,1,5,6,8,4,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[7,3,5,6,1,4,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[6,1,4,2,8,3,5,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[5,8,6,7,2,1,4,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[7,4,1,5,8,2,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[6,3,4,2,8,7,5,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[6,8,7,4,2,3,5,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[8,6,1,3,5,4,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,3,8,6,1,2,4,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[3,8,7,2,6,4,5,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[4,5,8,7,2,6,3,1]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4},{5}}=>[6,1,1]
[8,5,2,7,1,4,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,1,7,2,4,3,8,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>{{1,8},{2,3,6,7},{4,5}}=>[4,2,2]
[8,2,3,7,6,4,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[3,7,5,8,2,6,1,4]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,4,5,8},{3},{6,7}}=>[5,2,1]
[8,2,1,3,5,6,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[4,1,3,8,2,6,7,5]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>{{1,5,6,7,8},{2,3,4}}=>[5,3]
[6,2,7,4,5,8,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>{{1,2,8},{3,4,7},{5,6}}=>[3,3,2]
[2,1,8,4,5,7,3,6]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2},{3,4,5,6,7,8}}=>[6,2]
[2,1,8,5,4,3,6,7]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2},{3,4,5,6,7,8}}=>[6,2]
[7,4,8,6,2,3,1,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,3,2,4,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[7,1,3,2,8,5,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[5,1,7,4,2,3,8,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>{{1,8},{2,3,6,7},{4,5}}=>[4,2,2]
[7,5,2,8,4,6,1,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[5,7,4,3,6,2,8,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,6,7},{5}}=>[5,2,1]
[6,7,5,1,2,8,3,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>{{1,2,8},{3,4,5,7},{6}}=>[4,3,1]
[7,5,1,4,2,6,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[6,2,7,5,8,3,1,4]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,7},{5,6}}=>[4,2,2]
[7,5,1,2,8,4,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[5,4,8,3,6,2,7,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[5,8,2,7,4,3,6,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[6,4,5,8,2,7,3,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[6,4,5,8,1,2,7,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[7,4,6,5,2,1,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[5,1,8,6,7,4,3,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[3,8,5,7,1,4,2,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[5,1,7,4,8,6,3,2]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5},{6,7}}=>[4,2,2]
[5,2,8,4,7,3,1,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[3,8,1,6,7,5,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[8,2,4,3,6,1,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,3,8,1,4,2,6,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[3,8,7,4,2,6,1,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[3,7,8,1,2,6,5,4]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,4,5,6,8},{3},{7}}=>[6,1,1]
[8,1,7,6,2,4,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,3,6,1,7,2,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,4,2,8,7,5,1,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[6,4,5,7,2,8,1,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>{{1,2,8},{3,7},{4,5,6}}=>[3,3,2]
[4,1,5,3,8,2,7,6]=>[1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0]=>{{1,6,7,8},{2,5},{3,4}}=>[4,2,2]
[5,4,3,1,8,2,7,6]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>{{1,6,7,8},{2,3,4,5}}=>[4,4]
[8,2,6,4,7,3,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,1,7,4,5,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,2,7,1,8,4,5,3]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,7},{5,6}}=>[4,2,2]
[2,1,5,8,3,6,7,4]=>[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>{{1,2},{3,4,6,7,8},{5}}=>[5,2,1]
[5,1,8,7,4,2,3,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[5,8,3,2,6,4,1,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[6,8,2,4,7,5,1,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[7,3,8,2,6,4,1,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[3,8,7,4,5,6,1,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[3,8,7,4,6,2,5,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[5,8,3,7,6,2,4,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[8,7,2,5,4,3,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,8,3,2,5,4,7,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[5,8,7,4,3,6,2,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[5,8,6,4,3,7,1,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[5,3,8,1,7,6,4,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[5,4,8,7,1,6,3,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[5,4,8,6,1,7,2,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[5,3,8,1,6,7,2,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[5,2,1,8,6,7,3,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>{{1,2,6,7,8},{3,4,5}}=>[5,3]
[6,2,1,5,8,3,7,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[6,5,4,8,2,1,7,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[5,8,4,7,2,6,3,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[5,8,3,2,7,6,4,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[5,8,3,2,6,7,1,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[6,5,3,2,8,1,7,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[2,1,5,3,8,4,7,6]=>[1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0]=>{{1,2},{3,6,7,8},{4,5}}=>[4,2,2]
[3,1,8,2,5,4,7,6]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,4,5,6,7,8},{2,3}}=>[6,2]
[8,1,3,2,6,4,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[3,1,8,2,6,4,7,5]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,4,5,6,7,8},{2,3}}=>[6,2]
[2,1,8,3,6,4,7,5]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2},{3,4,5,6,7,8}}=>[6,2]
[2,1,7,3,8,4,6,5]=>[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>{{1,2},{3,4,5,8},{6,7}}=>[4,2,2]
[8,1,4,2,7,3,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[3,1,7,2,8,4,6,5]=>[1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0]=>{{1,4,5,8},{2,3},{6,7}}=>[4,2,2]
[3,1,6,2,5,4,8,7]=>[1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0]=>{{1,4,5,6},{2,3},{7,8}}=>[4,2,2]
[7,1,3,2,5,4,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[7,1,3,2,6,4,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[7,1,3,2,8,4,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[7,1,8,2,4,3,6,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[8,1,7,2,5,3,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,1,5,2,8,3,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[6,1,4,2,5,3,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>{{1,2,3,4,5,6},{7,8}}=>[6,2]
[5,1,7,2,6,3,8,4]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>{{1,8},{2,3,6,7},{4,5}}=>[4,2,2]
[5,1,7,2,8,3,6,4]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5},{6,7}}=>[4,2,2]
[5,1,8,2,7,3,6,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[8,1,5,2,7,3,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,5,2,6,3,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,1,8,2,6,3,7,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[8,1,4,2,6,3,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,4,2,5,3,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[4,1,5,2,8,3,7,6]=>[1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0]=>{{1,6,7,8},{2,5},{3,4}}=>[4,2,2]
[3,1,5,2,8,4,7,6]=>[1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0]=>{{1,6,7,8},{2,3},{4,5}}=>[4,2,2]
[3,1,4,2,8,5,7,6]=>[1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0]=>{{1,4},{2,3},{5,6,7,8}}=>[4,2,2]
[4,1,3,2,7,5,8,6]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0]=>{{1,2,3,4},{5,8},{6,7}}=>[4,2,2]
[5,1,4,2,8,3,7,6]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>{{1,6,7,8},{2,3,4,5}}=>[4,4]
[5,1,8,2,4,3,7,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[8,1,6,2,4,3,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,1,3,2,8,4,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[8,1,6,2,5,3,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,6,2,7,3,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,1,7,2,8,3,5,4]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,7},{5,6}}=>[4,2,2]
[5,1,6,2,4,3,8,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]=>{{1,2,3,6},{4,5},{7,8}}=>[4,2,2]
[7,1,5,2,4,3,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[7,1,6,2,4,3,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[7,1,6,2,5,3,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[7,1,6,2,8,3,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[7,1,8,2,6,3,5,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,8,3,1,2,5,6,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,8,1,3,2,4,6,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[4,3,1,2,7,8,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0]=>{{1,2,3,4},{5,6,8},{7}}=>[4,3,1]
[4,1,3,2,6,8,7,5]=>[1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0]=>{{1,2,3,4},{5,7,8},{6}}=>[4,3,1]
[4,2,1,3,7,6,8,5]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0]=>{{1,2,3,4},{5,8},{6,7}}=>[4,2,2]
[2,4,3,1,8,5,7,6]=>[1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0]=>{{1,3,4},{2},{5,6,7,8}}=>[4,3,1]
[5,2,1,8,3,6,4,7]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>{{1,2,6,7,8},{3,4,5}}=>[5,3]
[3,2,4,1,8,6,5,7]=>[1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0]=>{{1,4},{2,3},{5,6,7,8}}=>[4,2,2]
[3,4,2,1,8,7,5,6]=>[1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]=>{{1,2,4},{3},{5,6,7,8}}=>[4,3,1]
[7,6,4,3,2,1,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[7,6,5,8,2,1,4,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[7,6,8,3,2,1,5,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,8,4,3,2,1,6,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[8,5,4,3,2,1,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,6,3,8,2,1,5,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[7,6,5,8,4,1,3,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[7,4,8,3,2,1,6,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,6,8,5,2,1,4,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[8,6,4,2,7,5,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,4,7,3,6,5,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,4,7,1,8,3,2,5]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,7},{5,6}}=>[4,2,2]
[7,4,8,3,6,1,5,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,8,4,3,6,2,5,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[6,8,4,3,7,2,1,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[6,7,4,2,8,3,1,5]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,7},{6}}=>[4,3,1]
[2,8,7,6,5,1,4,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[5,4,8,6,1,2,3,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[5,7,8,6,1,3,2,4]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,6,8},{5},{7}}=>[6,1,1]
[5,6,1,4,7,2,8,3]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0]=>{{1,8},{2,7},{3,4,6},{5}}=>[3,2,2,1]
[5,3,2,1,4,8,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>{{1,2,3,4,5},{6,7,8}}=>[5,3]
[7,3,2,6,8,5,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[7,3,5,8,4,6,1,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[7,5,2,8,4,1,6,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[6,3,4,8,2,5,7,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[7,5,4,8,3,6,2,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[7,3,2,5,8,4,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[5,7,8,3,1,4,6,2]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,6,8},{5},{7}}=>[6,1,1]
[7,4,8,3,2,5,1,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,3,8,2,4,5,6,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[2,3,4,8,1,6,5,7]=>[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>{{1,5,6,7,8},{2},{3},{4}}=>[5,1,1,1]
[7,3,1,6,8,2,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[8,2,4,1,7,5,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[3,8,4,7,5,1,6,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[8,4,3,6,1,7,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[2,1,8,6,7,3,5,4]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2},{3,4,5,6,7,8}}=>[6,2]
[8,4,1,2,7,5,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,8,6,3,1,7,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[7,8,1,4,2,5,3,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[6,2,1,7,8,5,3,4]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6},{7}}=>[4,3,1]
[6,7,3,8,4,1,5,2]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,7},{6}}=>[5,2,1]
[2,1,7,8,6,3,4,5]=>[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>{{1,2},{3,4,5,6,8},{7}}=>[5,2,1]
[7,8,6,2,1,3,5,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[5,2,6,3,4,1,8,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]=>{{1,2,3,6},{4,5},{7,8}}=>[4,2,2]
[8,2,6,4,7,3,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[3,8,5,1,7,2,4,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[2,1,7,4,8,5,6,3]=>[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>{{1,2},{3,4,5,8},{6,7}}=>[4,2,2]
[6,2,3,8,4,7,5,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[7,1,3,8,6,4,5,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[7,4,2,1,8,6,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[8,1,4,2,5,6,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[3,4,2,1,8,6,7,5]=>[1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]=>{{1,2,4},{3},{5,6,7,8}}=>[4,3,1]
[8,1,3,2,5,6,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[3,2,8,7,4,5,1,6]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,4,5,6,7,8},{2,3}}=>[6,2]
[7,4,6,8,5,1,2,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[2,1,4,8,7,5,3,6]=>[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]=>{{1,2},{3,5,6,7,8},{4}}=>[5,2,1]
[7,1,5,8,2,6,3,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[2,8,5,3,6,7,1,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[7,8,5,6,4,1,3,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[3,8,1,4,5,6,2,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[5,8,7,3,6,1,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[5,8,3,7,6,1,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[7,5,8,4,6,1,3,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[2,8,1,5,4,7,3,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[3,1,8,2,5,7,4,6]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,4,5,6,7,8},{2,3}}=>[6,2]
[8,3,2,6,1,4,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[2,8,1,7,6,5,4,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[8,3,2,7,1,6,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,4,2,8,1,6,5,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[8,7,5,3,2,1,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,4,5,8,6,2,1,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[6,8,4,5,2,1,7,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[5,1,7,6,4,2,8,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>{{1,8},{2,3,6,7},{4,5}}=>[4,2,2]
[5,1,8,7,6,4,3,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[8,5,2,1,6,3,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,4,2,6,3,1,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,4,8,2,7,3,6,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[6,3,7,2,4,8,1,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>{{1,2,8},{3,4,7},{5,6}}=>[3,3,2]
[6,4,7,3,1,8,2,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>{{1,2,8},{3,4,7},{5,6}}=>[3,3,2]
[6,8,5,7,4,3,2,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[7,5,8,4,6,3,2,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[6,1,3,8,5,2,4,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[8,1,3,4,5,2,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,2,3,6,1,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,7,4,8,5,1,2,3]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,7},{6}}=>[5,2,1]
[3,2,8,1,5,4,6,7]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,4,5,6,7,8},{2,3}}=>[6,2]
[6,1,4,8,5,3,7,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[8,1,2,3,6,5,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,4,6,5,1,7,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,5,4,6,1,2,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[3,2,8,7,6,1,4,5]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,4,5,6,7,8},{2,3}}=>[6,2]
[6,8,4,7,2,1,3,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[3,8,7,5,6,1,2,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[8,2,7,6,5,1,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,4,1,7,2,3,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,4,1,5,3,6,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[6,8,5,3,7,1,2,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[6,8,2,4,5,1,3,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[6,8,3,4,1,5,2,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[5,8,4,1,7,2,6,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[6,8,3,1,4,5,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[5,3,8,4,2,6,7,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[7,3,1,4,8,5,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[7,5,1,2,8,6,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[6,4,2,8,7,1,5,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[3,1,8,2,7,6,4,5]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,4,5,6,7,8},{2,3}}=>[6,2]
[7,3,2,8,6,1,4,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[2,8,7,6,1,5,4,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[5,2,8,7,6,1,4,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[7,8,2,6,5,1,4,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[3,1,8,7,6,5,4,2]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,4,5,6,7,8},{2,3}}=>[6,2]
[7,8,2,6,1,5,4,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[3,2,8,1,7,6,5,4]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,4,5,6,7,8},{2,3}}=>[6,2]
[2,8,7,1,6,5,4,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[3,8,2,1,7,6,5,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[3,8,2,7,1,6,5,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[3,8,7,2,1,6,5,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[5,8,7,6,2,1,4,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[3,8,7,1,6,5,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[5,4,1,8,7,6,3,2]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>{{1,2,6,7,8},{3,4,5}}=>[5,3]
[7,8,4,1,6,5,3,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,8,3,1,6,5,4,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[5,3,1,8,7,6,4,2]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>{{1,2,6,7,8},{3,4,5}}=>[5,3]
[4,3,1,8,7,6,5,2]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>{{1,5,6,7,8},{2,3,4}}=>[5,3]
[4,2,1,8,7,6,5,3]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>{{1,5,6,7,8},{2,3,4}}=>[5,3]
[7,8,2,1,6,5,4,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[6,5,3,1,8,7,4,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[7,5,2,1,8,6,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[5,4,2,1,8,7,6,3]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>{{1,6,7,8},{2,3,4,5}}=>[4,4]
[7,3,2,1,8,6,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[6,1,4,2,3,5,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>{{1,2,3,4,5,6},{7,8}}=>[6,2]
[8,6,1,4,2,3,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,8,1,4,2,3,5,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[8,2,3,6,4,1,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,2,3,8,4,1,5,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[8,4,2,3,6,1,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,4,2,3,8,1,5,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[2,8,4,3,6,1,5,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[8,3,6,2,4,1,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,3,6,2,1,4,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[2,1,8,3,6,4,5,7]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2},{3,4,5,6,7,8}}=>[6,2]
[6,2,4,3,8,1,5,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[7,8,1,4,2,5,6,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[3,6,5,2,4,1,8,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]=>{{1,2,4,5,6},{3},{7,8}}=>[5,2,1]
[5,2,8,6,4,1,3,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[7,8,1,2,4,6,5,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,3,2,4,5,1,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[7,8,3,2,4,1,6,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,8,4,2,6,3,1,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[5,8,2,7,4,3,1,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[7,5,2,8,3,4,1,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[2,4,1,3,8,5,7,6]=>[1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0]=>{{1,3,4},{2},{5,6,7,8}}=>[4,3,1]
[4,2,1,8,3,5,7,6]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>{{1,5,6,7,8},{2,3,4}}=>[5,3]
[6,2,1,8,3,5,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[6,4,1,3,8,5,7,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[6,1,4,3,8,5,7,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[8,1,4,3,6,5,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,2,1,3,6,5,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,2,1,4,3,5,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,4,6,3,5,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,1,4,8,3,5,7,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[2,1,8,3,6,5,7,4]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2},{3,4,5,6,7,8}}=>[6,2]
[2,1,8,6,3,5,7,4]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2},{3,4,5,6,7,8}}=>[6,2]
[2,1,8,4,3,5,7,6]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2},{3,4,5,6,7,8}}=>[6,2]
[2,8,4,1,3,5,7,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[6,8,1,4,3,5,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[8,6,1,4,3,5,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,4,1,3,5,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,4,2,1,3,5,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,7,4,3,2,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,6,5,1,4,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,4,3,6,2,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,3,6,5,2,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,4,7,6,3,2,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,8,7,4,3,2,1,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[8,6,1,2,7,4,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,8,2,1,5,6,4,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[5,2,7,1,8,6,3,4]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5},{6,7}}=>[4,2,2]
[6,5,2,8,1,7,3,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[2,8,3,5,1,7,4,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[2,8,5,6,1,7,3,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[5,4,2,8,6,1,7,3]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>{{1,2,6,7,8},{3,4,5}}=>[5,3]
[8,5,4,3,7,2,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,3,7,4,2,6,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[3,8,7,4,1,6,5,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[6,3,2,8,4,1,7,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[2,8,3,4,1,7,5,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[5,4,2,8,3,1,7,6]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>{{1,2,6,7,8},{3,4,5}}=>[5,3]
[2,8,6,4,1,7,5,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[8,4,7,6,2,5,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,3,8,5,2,1,6,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,3,8,4,2,1,6,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,5,4,3,8,2,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[5,4,2,3,8,1,6,7]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>{{1,6,7,8},{2,3,4,5}}=>[4,4]
[3,7,8,4,1,2,6,5]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,4,5,6,8},{3},{7}}=>[6,1,1]
[8,7,4,6,3,5,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,3,4,8,2,1,5,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[7,5,8,6,2,1,4,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[6,3,2,4,8,1,5,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[8,3,4,7,2,5,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[3,7,4,8,1,5,2,6]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,4,5,8},{3},{6,7}}=>[5,2,1]
[8,4,6,7,2,3,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[3,7,5,8,1,4,2,6]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,4,5,8},{3},{6,7}}=>[5,2,1]
[8,7,4,1,6,2,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,3,7,4,5,8,2,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>{{1,2,8},{3,4,7},{5,6}}=>[3,3,2]
[6,8,4,1,7,2,5,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[3,8,5,4,6,7,2,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[6,8,3,4,5,7,2,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[8,1,6,2,4,3,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,1,2,4,3,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,8,3,1,4,7,2,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[6,4,7,2,8,5,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,7},{5,6}}=>[4,2,2]
[5,8,1,4,7,3,2,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[8,7,1,4,5,3,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,4,2,6,5,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,3,2,4,6,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,8,4,3,7,5,2,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[6,4,7,3,8,5,2,1]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,7},{5,6}}=>[4,2,2]
[6,3,7,2,4,8,5,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>{{1,2,8},{3,4,7},{5,6}}=>[3,3,2]
[8,1,2,5,4,3,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,3,7,2,8,4,5,1]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,7},{5,6}}=>[4,2,2]
[6,7,1,8,3,2,5,4]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,7},{6}}=>[5,2,1]
[8,7,6,1,4,5,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,6,1,3,2,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,3,5,1,2,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,4,5,1,6,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,6,4,1,7,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,4,6,2,3,1,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,3,5,4,2,1,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,1,6,8,4,5,3,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[8,1,5,7,4,6,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,4,1,5,6,7,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,4,5,6,7,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,2,5,6,1,4,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,1,8,4,2,6,3,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[8,5,6,1,2,4,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[2,8,3,1,5,6,7,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[8,2,4,3,6,7,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,3,2,7,1,5,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[3,2,8,5,7,1,6,4]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,4,5,6,7,8},{2,3}}=>[6,2]
[6,2,1,8,4,7,5,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[2,8,7,1,4,6,5,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[8,2,7,1,5,4,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,2,8,1,6,4,5,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,8,2,6,4,1,5,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[8,7,2,4,1,6,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[2,1,7,3,6,8,4,5]=>[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>{{1,2},{3,4,8},{5,6,7}}=>[3,3,2]
[7,2,1,5,8,3,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[7,1,5,8,3,2,4,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[7,8,1,5,2,4,3,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[8,7,1,2,5,4,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,4,7,3,2,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[2,1,8,3,5,7,4,6]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2},{3,4,5,6,7,8}}=>[6,2]
[8,3,5,2,4,1,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,2,5,3,1,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[2,8,3,4,1,6,7,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[7,8,2,4,3,1,6,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[8,1,3,6,2,4,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[2,1,8,3,7,5,4,6]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2},{3,4,5,6,7,8}}=>[6,2]
[7,1,8,2,5,6,3,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[6,1,5,8,2,7,3,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[6,2,5,8,1,4,7,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[3,2,8,5,1,6,7,4]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,4,5,6,7,8},{2,3}}=>[6,2]
[2,8,7,1,6,4,5,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[3,8,7,1,5,6,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[5,8,6,7,1,4,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[7,3,8,5,4,1,6,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[8,3,7,4,1,6,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,1,3,2,4,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,1,2,4,3,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,8,1,2,5,3,6,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[6,8,1,4,2,3,7,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[4,5,8,1,2,3,7,6]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4},{5}}=>[6,1,1]
[7,4,3,8,2,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[7,2,8,4,3,5,6,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,2,8,1,3,6,4,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[5,6,2,7,3,1,8,4]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>{{1,8},{2,3,7},{4,6},{5}}=>[3,2,2,1]
[5,2,4,8,1,3,7,6]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>{{1,2,6,7,8},{3,4,5}}=>[5,3]
[6,2,5,4,8,3,7,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[5,2,3,4,8,1,6,7]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>{{1,6,7,8},{2,3,4,5}}=>[4,4]
[6,4,5,3,8,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[6,5,3,4,8,7,1,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[7,5,4,8,6,1,3,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[7,6,3,8,5,4,1,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[5,4,8,1,2,7,3,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[6,2,4,8,5,1,3,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[7,6,3,8,5,1,2,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[7,2,8,6,1,3,4,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,2,8,6,1,5,3,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[6,2,4,5,8,1,3,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[2,3,4,8,1,7,6,5]=>[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>{{1,5,6,7,8},{2},{3},{4}}=>[5,1,1,1]
[6,3,1,7,8,4,5,2]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6},{7}}=>[4,3,1]
[8,4,1,2,7,6,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,3,2,8,5,7,4,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[3,8,4,7,2,5,6,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[5,3,4,7,1,8,6,2]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>{{1,2,8},{3,4,5},{6,7}}=>[3,3,2]
[5,3,7,1,6,2,8,4]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>{{1,8},{2,3,6,7},{4,5}}=>[4,2,2]
[2,8,1,5,6,3,7,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[8,2,4,6,7,1,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,5,3,1,8,4,2,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[4,2,3,8,5,6,1,7]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>{{1,5,6,7,8},{2,3,4}}=>[5,3]
[8,6,1,2,4,3,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,2,5,4,1,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,3,5,7,6,2,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,7,5,3,8,2,4,1]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,7},{6}}=>[4,3,1]
[8,2,6,3,4,5,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,5,4,3,6,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,4,2,1,5,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,3,2,4,6,1,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,2,3,4,7,6,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,3,7,6,4,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,3,5,8,7,2,4,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[5,2,8,7,1,3,4,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[5,2,7,4,8,1,6,3]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5},{6,7}}=>[4,2,2]
[8,3,7,4,2,5,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,7,4,5,2,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,2,4,1,5,6,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,4,2,3,1,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,4,2,1,3,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,3,6,7,1,5,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[3,4,1,2,8,5,7,6]=>[1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]=>{{1,2,4},{3},{5,6,7,8}}=>[4,3,1]
[8,7,3,1,2,6,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,4,3,2,5,7,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,3,8,2,5,4,1,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,4,2,5,8,3,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[3,1,8,6,5,4,2,7]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,4,5,6,7,8},{2,3}}=>[6,2]
[7,8,4,1,5,3,2,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,3,8,5,1,4,2,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[8,7,5,3,6,4,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,2,3,6,7,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,7,1,3,2,8,4,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>{{1,2,8},{3,4,5,7},{6}}=>[4,3,1]
[5,2,1,7,3,8,4,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>{{1,2,8},{3,4,5},{6,7}}=>[3,3,2]
[5,3,7,2,8,1,4,6]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5},{6,7}}=>[4,2,2]
[7,1,8,3,4,2,5,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,2,4,1,8,3,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[7,3,8,2,6,5,1,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,8,2,4,6,1,5,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[5,2,8,1,7,6,3,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[6,2,1,3,8,7,5,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[5,8,7,1,6,4,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[6,8,7,5,1,4,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[8,6,4,3,2,1,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,5,4,3,8,2,7,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[8,5,4,3,7,2,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,4,3,2,1,7,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[3,7,5,8,1,4,6,2]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,4,5,8},{3},{6,7}}=>[5,2,1]
[5,7,2,3,6,1,8,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,6,7},{5}}=>[5,2,1]
[7,3,1,4,8,2,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[8,6,4,2,3,7,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,4,7,1,3,8,5,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>{{1,2,8},{3,4,7},{5,6}}=>[3,3,2]
[7,5,8,6,2,1,3,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[2,8,1,3,6,5,4,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[2,8,7,3,5,4,1,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[7,3,8,4,1,2,6,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[6,8,3,2,7,1,5,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[2,8,5,6,3,7,1,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[7,5,6,8,2,1,4,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[5,8,6,7,1,2,3,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[5,1,7,2,4,6,8,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>{{1,8},{2,3,6,7},{4,5}}=>[4,2,2]
[8,1,7,4,2,5,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,7,2,8,5,3,1,4]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,7},{6}}=>[5,2,1]
[6,7,2,8,3,1,5,4]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,7},{6}}=>[5,2,1]
[7,1,2,8,3,5,6,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[6,7,5,2,8,1,4,3]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,7},{6}}=>[4,3,1]
[7,1,4,5,8,6,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[7,4,6,1,8,2,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[7,4,8,2,3,6,5,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,5,8,6,3,4,2,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[5,7,8,3,1,6,4,2]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,6,8},{5},{7}}=>[6,1,1]
[7,5,8,3,2,4,1,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[5,8,2,6,3,1,4,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[8,2,7,5,4,1,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,8,5,2,3,4,1,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[6,2,7,3,8,4,1,5]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,7},{5,6}}=>[4,2,2]
[8,3,6,2,5,4,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[3,5,8,2,4,6,1,7]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,4,6,7,8},{3},{5}}=>[6,1,1]
[7,4,8,5,3,2,1,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[2,8,7,3,5,1,4,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[3,8,4,7,5,1,2,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[6,1,2,7,3,8,5,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>{{1,2,8},{3,7},{4,5,6}}=>[3,3,2]
[2,1,7,3,4,8,6,5]=>[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>{{1,2},{3,4,8},{5,6,7}}=>[3,3,2]
[8,3,1,6,7,2,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,4,2,8,3,1,5,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[6,4,7,5,8,1,2,3]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,7},{5,6}}=>[4,2,2]
[8,6,4,2,1,7,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,6,4,1,8,5,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[6,3,1,2,8,4,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[7,4,8,1,6,3,5,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[6,4,1,8,3,2,7,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[5,4,1,8,7,3,2,6]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>{{1,2,6,7,8},{3,4,5}}=>[5,3]
[5,8,4,1,7,6,2,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[8,6,1,7,5,4,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[3,1,8,7,6,5,2,4]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,4,5,6,7,8},{2,3}}=>[6,2]
[8,1,2,4,5,3,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[3,2,8,6,1,7,5,4]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,4,5,6,7,8},{2,3}}=>[6,2]
[7,4,3,8,5,2,1,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[6,5,2,8,4,3,1,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[4,2,3,8,5,1,6,7]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>{{1,5,6,7,8},{2,3,4}}=>[5,3]
[3,2,5,8,6,1,4,7]=>[1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0]=>{{1,4,6,7,8},{2,3},{5}}=>[5,2,1]
[5,3,7,8,4,1,2,6]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>{{1,2,3,6,8},{4,5},{7}}=>[5,2,1]
[5,3,8,7,4,1,6,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[6,4,2,8,5,3,1,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[8,7,5,3,6,2,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,4,3,6,2,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,5,3,7,2,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,6,4,3,8,2,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[6,4,5,3,8,2,7,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[7,4,5,3,8,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[7,4,6,3,8,2,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[7,5,6,3,8,2,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[8,5,6,3,7,2,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,4,6,3,7,2,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,4,6,3,5,2,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[8,4,6,3,5,2,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,4,7,3,5,2,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,7,3,4,2,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,5,8,4,3,2,6,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,5,8,3,4,2,6,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,6,8,3,5,2,4,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,5,8,4,6,2,3,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,5,8,3,6,2,4,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,4,8,3,6,2,5,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,4,8,3,5,2,6,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[5,4,7,3,6,2,8,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>{{1,8},{2,3,6,7},{4,5}}=>[4,2,2]
[5,4,8,3,7,2,6,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[6,5,7,3,8,2,4,1]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,7},{5,6}}=>[4,2,2]
[6,4,7,3,8,2,5,1]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,7},{5,6}}=>[4,2,2]
[5,4,7,3,8,2,6,1]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5},{6,7}}=>[4,2,2]
[6,5,3,7,8,2,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6},{7}}=>[4,3,1]
[6,5,4,2,8,7,1,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[5,8,4,1,2,7,3,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[5,4,8,1,2,3,7,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[5,8,1,7,4,2,3,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[3,1,7,8,4,2,5,6]=>[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]=>{{1,4,5,6,8},{2,3},{7}}=>[5,2,1]
[4,3,1,2,8,5,7,6]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>{{1,2,3,4},{5,6,7,8}}=>[4,4]
[3,7,6,8,4,2,1,5]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,4,5,8},{3},{6,7}}=>[5,2,1]
[3,7,8,6,2,4,1,5]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,4,5,6,8},{3},{7}}=>[6,1,1]
[3,7,8,2,6,4,1,5]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,4,5,6,8},{3},{7}}=>[6,1,1]
[4,2,3,8,1,6,7,5]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>{{1,5,6,7,8},{2,3,4}}=>[5,3]
[3,7,2,8,4,6,1,5]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,4,5,8},{3},{6,7}}=>[5,2,1]
[3,1,7,4,8,2,5,6]=>[1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0]=>{{1,4,5,8},{2,3},{6,7}}=>[4,2,2]
[6,8,5,2,4,1,7,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[7,1,4,2,3,6,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[8,1,2,3,4,6,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[2,8,1,3,5,4,7,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[8,7,1,4,3,5,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,3,2,1,4,5,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[4,3,2,8,1,6,5,7]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>{{1,5,6,7,8},{2,3,4}}=>[5,3]
[3,8,6,4,2,1,5,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[3,8,2,1,5,6,4,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[8,5,2,4,3,1,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,3,2,5,4,1,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,3,2,8,6,4,1,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[7,8,2,5,3,6,1,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[6,3,7,5,1,8,2,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>{{1,2,8},{3,4,7},{5,6}}=>[3,3,2]
[8,1,6,3,5,7,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,3,2,6,4,7,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,8,4,6,1,7,2,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[8,4,2,5,6,7,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[4,5,8,7,3,2,1,6]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4},{5}}=>[6,1,1]
[3,2,8,4,7,6,1,5]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,4,5,6,7,8},{2,3}}=>[6,2]
[3,1,8,4,7,2,6,5]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,4,5,6,7,8},{2,3}}=>[6,2]
[7,1,4,8,6,2,5,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[7,3,4,8,6,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[7,1,5,8,2,6,4,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[7,1,4,8,2,6,5,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[7,2,4,8,3,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[7,4,5,8,1,2,6,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[7,6,2,3,8,5,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[7,6,1,4,8,2,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[7,6,3,4,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[7,2,5,3,8,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[7,2,1,4,8,6,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[7,2,1,3,8,6,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[7,6,5,1,3,2,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[8,2,7,6,5,4,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,2,8,6,5,4,3,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[3,2,8,7,6,5,1,4]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,4,5,6,7,8},{2,3}}=>[6,2]
[7,8,6,1,5,4,3,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[4,3,5,1,7,8,2,6]=>[1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0]=>{{1,6,8},{2,5},{3,4},{7}}=>[3,2,2,1]
[6,3,1,7,8,2,4,5]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6},{7}}=>[4,3,1]
[6,3,7,2,8,1,4,5]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,7},{5,6}}=>[4,2,2]
[6,3,7,2,5,8,1,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>{{1,2,8},{3,4,7},{5,6}}=>[3,3,2]
[5,6,4,7,1,3,8,2]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>{{1,8},{2,3,7},{4,6},{5}}=>[3,2,2,1]
[8,4,5,2,6,1,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,4,3,7,2,8,1,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>{{1,2,8},{3,7},{4,5,6}}=>[3,3,2]
[7,4,5,3,1,6,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[5,6,3,7,4,1,8,2]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>{{1,8},{2,3,7},{4,6},{5}}=>[3,2,2,1]
[6,7,4,2,1,8,3,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>{{1,2,8},{3,4,5,7},{6}}=>[4,3,1]
[5,6,3,7,2,4,8,1]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>{{1,8},{2,3,7},{4,6},{5}}=>[3,2,2,1]
[6,7,3,8,1,2,4,5]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,7},{6}}=>[5,2,1]
[6,7,3,2,8,1,4,5]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,7},{6}}=>[4,3,1]
[7,6,4,2,1,3,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[7,6,3,4,1,2,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[7,6,3,2,4,1,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[7,5,3,2,6,1,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[5,6,4,2,7,3,8,1]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0]=>{{1,8},{2,7},{3,4,6},{5}}=>[3,2,2,1]
[6,5,3,7,1,8,2,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>{{1,2,8},{3,7},{4,5,6}}=>[3,3,2]
[3,7,8,5,6,1,4,2]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,4,5,6,8},{3},{7}}=>[6,1,1]
[3,7,5,8,6,4,1,2]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,4,5,8},{3},{6,7}}=>[5,2,1]
[5,3,7,8,1,6,4,2]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>{{1,2,3,6,8},{4,5},{7}}=>[5,2,1]
[5,3,7,8,6,1,4,2]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>{{1,2,3,6,8},{4,5},{7}}=>[5,2,1]
[7,3,5,8,6,1,4,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[7,8,3,5,6,1,4,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,1,8,5,6,3,4,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,1,5,8,6,3,4,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[5,1,7,8,6,3,4,2]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>{{1,2,3,6,8},{4,5},{7}}=>[5,2,1]
[5,1,7,8,3,6,4,2]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>{{1,2,3,6,8},{4,5},{7}}=>[5,2,1]
[3,1,7,8,5,6,4,2]=>[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]=>{{1,4,5,6,8},{2,3},{7}}=>[5,2,1]
[3,1,7,5,8,6,4,2]=>[1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0]=>{{1,4,5,8},{2,3},{6,7}}=>[4,2,2]
[5,1,7,3,8,6,4,2]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5},{6,7}}=>[4,2,2]
[7,1,5,3,8,6,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[7,1,5,8,3,6,4,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[7,3,8,5,1,6,4,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,3,5,8,1,6,4,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[7,3,5,1,8,6,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[5,3,7,1,8,6,4,2]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5},{6,7}}=>[4,2,2]
[3,7,5,8,1,6,4,2]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,4,5,8},{3},{6,7}}=>[5,2,1]
[5,7,8,6,3,1,4,2]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,6,8},{5},{7}}=>[6,1,1]
[7,5,8,6,1,3,4,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[5,7,8,1,6,3,4,2]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,6,8},{5},{7}}=>[6,1,1]
[5,7,8,1,3,6,4,2]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,6,8},{5},{7}}=>[6,1,1]
[3,7,1,8,5,6,4,2]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,4,5,8},{3},{6,7}}=>[5,2,1]
[7,5,1,8,6,3,4,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[7,5,8,1,6,3,4,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,5,1,8,3,6,4,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[7,5,1,3,8,6,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[7,3,1,5,8,6,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[7,3,1,8,5,6,4,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[7,1,8,3,5,6,4,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,1,3,8,5,6,4,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[7,1,3,5,8,6,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[3,1,5,7,8,6,4,2]=>[1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0]=>{{1,4,6,8},{2,3},{5},{7}}=>[4,2,1,1]
[4,3,1,2,6,5,8,7]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]=>{{1,2,3,4},{5,6},{7,8}}=>[4,2,2]
[6,1,4,3,5,2,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>{{1,2,3,4,5,6},{7,8}}=>[6,2]
[4,6,3,5,1,2,8,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]=>{{1,2,3,5,6},{4},{7,8}}=>[5,2,1]
[6,2,4,5,1,3,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>{{1,2,3,4,5,6},{7,8}}=>[6,2]
[2,3,6,1,5,4,8,7]=>[1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0]=>{{1,4,5,6},{2},{3},{7,8}}=>[4,2,1,1]
[2,1,6,5,3,4,8,7]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>{{1,2},{3,4,5,6},{7,8}}=>[4,2,2]
[3,5,6,2,4,1,8,7]=>[1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0]=>{{1,2,4,6},{3},{5},{7,8}}=>[4,2,1,1]
[8,7,6,1,3,2,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,1,8,2,3,4,7,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[2,1,6,8,5,7,3,4]=>[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]=>{{1,2},{3,4,5,7,8},{6}}=>[5,2,1]
[2,1,8,4,6,7,3,5]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2},{3,4,5,6,7,8}}=>[6,2]
[3,1,8,6,2,7,5,4]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,4,5,6,7,8},{2,3}}=>[6,2]
[3,8,1,5,6,7,2,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[8,2,3,5,7,1,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,8,4,3,7,1,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[2,8,3,6,7,5,1,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[8,1,2,7,3,5,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,8,4,2,1,3,7,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[2,1,4,5,8,3,7,6]=>[1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0]=>{{1,2},{3,6,7,8},{4},{5}}=>[4,2,1,1]
[8,4,7,1,5,2,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,3,5,8,4,2,1,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[4,2,3,1,8,7,5,6]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>{{1,2,3,4},{5,6,7,8}}=>[4,4]
[2,1,4,3,8,7,5,6]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>{{1,2},{3,4},{5,6,7,8}}=>[4,2,2]
[4,3,1,2,8,6,7,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>{{1,2,3,4},{5,6,7,8}}=>[4,4]
[8,7,2,6,4,1,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[2,1,5,7,8,4,6,3]=>[1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0]=>{{1,2},{3,4,6,8},{5},{7}}=>[4,2,1,1]
[7,4,8,1,2,5,6,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[6,8,3,4,2,1,7,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[7,1,4,8,3,5,6,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[6,5,3,8,4,7,1,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[8,6,4,7,5,3,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,3,8,5,4,6,1,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[6,8,4,7,5,3,1,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[5,1,2,4,8,3,7,6]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>{{1,6,7,8},{2,3,4,5}}=>[4,4]
[2,8,4,1,5,6,3,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[7,4,8,3,2,1,5,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,6,8,5,1,4,3,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[6,5,1,2,8,3,7,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[6,8,4,1,3,7,5,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[6,3,7,1,8,4,5,2]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,7},{5,6}}=>[4,2,2]
[5,8,3,1,7,4,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[5,8,2,1,7,6,3,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[8,7,1,6,5,4,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[3,1,8,7,6,4,5,2]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,4,5,6,7,8},{2,3}}=>[6,2]
[3,1,8,5,7,4,2,6]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,4,5,6,7,8},{2,3}}=>[6,2]
[8,3,5,7,4,2,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,3,6,2,4,5,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[3,7,1,8,6,2,5,4]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,4,5,8},{3},{6,7}}=>[5,2,1]
[5,8,7,1,4,3,2,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[5,6,1,2,4,3,8,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>{{1,2,3,4,6},{5},{7,8}}=>[5,2,1]
[8,4,6,2,1,3,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,4,8,7,3,1,2,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[6,4,3,8,1,5,2,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[6,8,3,7,2,5,4,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[6,4,7,2,1,8,3,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>{{1,2,8},{3,4,7},{5,6}}=>[3,3,2]
[5,7,8,2,6,4,1,3]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,6,8},{5},{7}}=>[6,1,1]
[6,3,7,2,8,5,1,4]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,7},{5,6}}=>[4,2,2]
[8,1,3,6,7,2,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,4,2,7,5,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,1,3,8,2,7,4,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[6,4,2,8,5,1,7,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[4,5,8,3,1,7,6,2]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4},{5}}=>[6,1,1]
[4,6,3,5,2,1,8,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]=>{{1,2,3,5,6},{4},{7,8}}=>[5,2,1]
[7,4,1,2,8,6,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[5,2,6,1,3,4,8,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]=>{{1,2,3,6},{4,5},{7,8}}=>[4,2,2]
[3,8,2,6,5,4,1,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[3,8,7,2,5,4,1,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[7,5,1,6,8,4,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[7,3,8,1,5,4,6,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,2,8,6,5,1,3,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[3,8,7,6,2,4,1,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[3,5,8,7,2,4,6,1]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,4,6,7,8},{3},{5}}=>[6,1,1]
[5,7,8,3,2,1,4,6]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,6,8},{5},{7}}=>[6,1,1]
[8,3,7,6,4,2,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,3,2,1,4,7,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,4,1,7,3,8,5,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>{{1,2,8},{3,7},{4,5,6}}=>[3,3,2]
[8,6,3,2,7,5,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,4,2,6,1,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,4,2,7,6,3,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,4,7,3,1,6,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,7,1,8,3,4,2,5]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,7},{6}}=>[5,2,1]
[7,8,1,6,3,4,2,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,8,2,5,1,6,3,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[5,6,2,7,1,8,3,4]=>[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>{{1,2,8},{3,7},{4,6},{5}}=>[3,2,2,1]
[6,7,2,5,1,8,3,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>{{1,2,8},{3,4,5,7},{6}}=>[4,3,1]
[6,7,2,4,3,8,1,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>{{1,2,8},{3,4,5,7},{6}}=>[4,3,1]
[5,6,2,7,4,3,8,1]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>{{1,8},{2,3,7},{4,6},{5}}=>[3,2,2,1]
[5,1,7,3,4,2,8,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>{{1,8},{2,3,6,7},{4,5}}=>[4,2,2]
[6,2,4,3,1,5,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>{{1,2,3,4,5,6},{7,8}}=>[6,2]
[4,6,2,1,5,3,8,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]=>{{1,2,3,5,6},{4},{7,8}}=>[5,2,1]
[8,4,2,1,6,5,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,8,7,2,1,4,3,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[6,8,2,1,7,4,3,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[6,8,2,1,4,3,7,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[8,6,2,4,3,1,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,8,2,4,3,1,7,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[2,8,4,6,7,3,1,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[2,8,6,7,4,3,1,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[8,4,2,6,3,5,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,2,4,3,6,5,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[4,2,1,3,6,8,7,5]=>[1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0]=>{{1,2,3,4},{5,7,8},{6}}=>[4,3,1]
[2,4,3,1,8,6,5,7]=>[1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0]=>{{1,3,4},{2},{5,6,7,8}}=>[4,3,1]
[6,2,1,8,7,4,3,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[6,2,1,8,4,3,7,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[6,2,3,5,1,4,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>{{1,2,3,4,5,6},{7,8}}=>[6,2]
[3,6,2,4,5,1,8,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]=>{{1,2,4,5,6},{3},{7,8}}=>[5,2,1]
[8,2,3,4,5,7,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,7,3,4,8,5,2,1]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,7},{6}}=>[4,3,1]
[3,8,2,6,7,4,5,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[6,8,2,5,1,7,3,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[7,8,3,4,6,2,1,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[3,8,2,5,4,7,6,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[6,4,7,2,8,5,3,1]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,7},{5,6}}=>[4,2,2]
[7,6,1,4,8,5,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[4,1,2,3,7,8,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0]=>{{1,2,3,4},{5,6,8},{7}}=>[4,3,1]
[3,4,2,1,8,5,6,7]=>[1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]=>{{1,2,4},{3},{5,6,7,8}}=>[4,3,1]
[8,1,3,6,4,7,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,4,8,3,6,7,1,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[4,5,8,3,6,7,2,1]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4},{5}}=>[6,1,1]
[2,1,5,8,4,6,7,3]=>[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>{{1,2},{3,4,6,7,8},{5}}=>[5,2,1]
[5,7,8,3,2,4,1,6]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,6,8},{5},{7}}=>[6,1,1]
[3,8,2,4,5,6,7,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[6,8,2,3,1,4,5,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[8,2,7,4,1,3,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[3,7,8,2,1,4,6,5]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,4,5,6,8},{3},{7}}=>[6,1,1]
[4,3,6,1,2,8,7,5]=>[1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0]=>{{1,7,8},{2,5,6},{3,4}}=>[3,3,2]
[8,1,2,5,4,6,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,8,3,1,4,7,5,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[8,4,2,5,7,1,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,3,2,8,7,1,4,6]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>{{1,2,6,7,8},{3,4,5}}=>[5,3]
[7,3,6,1,8,2,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[7,6,4,5,8,1,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[4,3,1,8,5,6,7,2]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>{{1,5,6,7,8},{2,3,4}}=>[5,3]
[3,8,6,1,2,5,4,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[5,3,8,4,1,2,7,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[8,2,1,4,6,5,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,3,5,1,4,2,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>{{1,2,3,4,5,6},{7,8}}=>[6,2]
[5,3,8,7,2,1,4,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[8,7,3,2,1,6,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,4,1,6,2,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,1,7,2,3,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,3,8,1,5,2,4,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[5,6,2,7,1,4,8,3]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>{{1,8},{2,3,7},{4,6},{5}}=>[3,2,2,1]
[6,4,2,8,1,5,7,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[7,3,6,8,5,2,4,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[5,1,2,4,8,7,3,6]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>{{1,6,7,8},{2,3,4,5}}=>[4,4]
[5,2,3,4,8,7,1,6]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>{{1,6,7,8},{2,3,4,5}}=>[4,4]
[3,1,8,4,7,2,5,6]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,4,5,6,7,8},{2,3}}=>[6,2]
[3,8,1,4,2,6,5,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[8,3,4,2,1,6,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,3,2,8,1,6,4,7]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>{{1,2,6,7,8},{3,4,5}}=>[5,3]
[3,5,8,1,2,6,4,7]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,4,6,7,8},{3},{5}}=>[6,1,1]
[8,6,1,3,5,2,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,7,4,3,6,1,8,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,6,7},{5}}=>[5,2,1]
[7,4,1,8,3,2,5,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[5,6,1,7,4,2,8,3]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>{{1,8},{2,3,7},{4,6},{5}}=>[3,2,2,1]
[6,7,3,8,4,1,2,5]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,7},{6}}=>[5,2,1]
[3,7,8,1,5,4,2,6]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,4,5,6,8},{3},{7}}=>[6,1,1]
[7,5,8,4,1,3,2,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[8,5,3,2,7,6,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,5,2,8,4,1,3,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[7,3,8,5,2,1,4,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[5,8,3,6,4,7,1,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[3,7,8,4,1,5,6,2]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,4,5,6,8},{3},{7}}=>[6,1,1]
[3,5,8,6,7,4,2,1]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,4,6,7,8},{3},{5}}=>[6,1,1]
[3,7,6,8,1,2,5,4]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,4,5,8},{3},{6,7}}=>[5,2,1]
[6,5,1,4,2,3,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>{{1,2,3,4,5,6},{7,8}}=>[6,2]
[8,6,1,7,2,5,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,6,1,2,3,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,4,1,6,2,3,8,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0]=>{{1,2,6},{3,4,5},{7,8}}=>[3,3,2]
[5,8,7,6,1,2,3,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[8,2,7,1,5,4,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[2,1,8,7,3,6,4,5]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2},{3,4,5,6,7,8}}=>[6,2]
[8,7,5,1,2,6,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[2,1,7,6,3,8,4,5]=>[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>{{1,2},{3,4,8},{5,6,7}}=>[3,3,2]
[8,2,3,4,6,7,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[2,8,5,7,4,1,3,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[7,8,5,3,6,4,2,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[2,1,4,8,7,5,6,3]=>[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]=>{{1,2},{3,5,6,7,8},{4}}=>[5,2,1]
[7,4,6,8,5,1,3,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[8,5,7,4,6,2,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,8,3,2,4,6,1,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[2,8,4,1,5,3,7,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[2,1,8,6,4,3,7,5]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2},{3,4,5,6,7,8}}=>[6,2]
[6,5,7,3,1,8,4,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>{{1,2,8},{3,4,7},{5,6}}=>[3,3,2]
[8,4,2,5,6,1,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,4,5,1,2,3,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[8,4,7,6,2,1,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,7,2,3,6,4,8,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,6,7},{5}}=>[5,2,1]
[8,6,2,3,7,1,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,8,6,1,3,2,5,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[8,1,5,7,2,3,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,4,1,6,3,8,7,2]=>[1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0]=>{{1,7,8},{2,6},{3,4,5}}=>[3,3,2]
[5,4,1,2,8,7,6,3]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>{{1,6,7,8},{2,3,4,5}}=>[4,4]
[6,1,2,8,7,4,3,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[5,1,3,8,4,2,7,6]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>{{1,2,6,7,8},{3,4,5}}=>[5,3]
[8,5,1,3,7,4,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[3,2,8,1,4,7,6,5]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,4,5,6,7,8},{2,3}}=>[6,2]
[6,4,3,8,2,5,7,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[3,2,5,8,4,1,7,6]=>[1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0]=>{{1,4,6,7,8},{2,3},{5}}=>[5,2,1]
[2,1,7,8,3,4,6,5]=>[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>{{1,2},{3,4,5,6,8},{7}}=>[5,2,1]
[7,5,1,8,4,2,6,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[2,1,7,3,5,8,6,4]=>[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>{{1,2},{3,4,8},{5,6,7}}=>[3,3,2]
[7,8,1,2,4,5,6,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[3,8,7,4,1,2,5,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[7,5,2,8,4,6,3,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[7,8,2,4,3,1,5,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,6,2,8,5,1,4,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[3,7,5,8,1,6,2,4]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,4,5,8},{3},{6,7}}=>[5,2,1]
[5,8,2,7,3,4,6,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[7,8,1,2,3,4,6,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[6,8,5,2,1,7,3,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[5,6,2,4,3,1,8,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>{{1,2,3,4,6},{5},{7,8}}=>[5,2,1]
[7,1,8,3,5,4,6,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,1,2,4,8,5,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[8,7,6,5,1,3,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,6,2,4,3,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,6,8,1,5,4,3,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,6,1,8,5,4,3,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[5,4,8,7,6,3,1,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[5,2,7,4,1,6,8,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>{{1,8},{2,3,6,7},{4,5}}=>[4,2,2]
[4,5,8,2,1,7,6,3]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4},{5}}=>[6,1,1]
[3,4,1,2,7,8,6,5]=>[1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0]=>{{1,2,4},{3},{5,6,8},{7}}=>[3,3,1,1]
[5,4,8,3,7,1,6,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[4,1,3,2,8,6,7,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>{{1,2,3,4},{5,6,7,8}}=>[4,4]
[8,1,3,5,4,7,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,1,4,3,5,2,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[3,2,8,1,6,5,4,7]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,4,5,6,7,8},{2,3}}=>[6,2]
[6,8,4,1,2,5,3,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[8,2,1,5,6,4,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,4,7,6,2,3,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,1,2,8,7,3,5,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[6,4,1,2,8,7,3,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[3,6,4,5,2,1,8,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]=>{{1,2,4,5,6},{3},{7,8}}=>[5,2,1]
[6,5,4,3,1,2,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>{{1,2,3,4,5,6},{7,8}}=>[6,2]
[2,1,4,5,8,6,3,7]=>[1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0]=>{{1,2},{3,6,7,8},{4},{5}}=>[4,2,1,1]
[6,7,1,3,4,8,2,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>{{1,2,8},{3,4,5,7},{6}}=>[4,3,1]
[5,8,6,2,3,7,4,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[5,8,6,1,7,2,4,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[1,3,2,8,5,4,6,7]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>{{1},{2,3},{4,5,6,7,8}}=>[5,2,1]
[5,2,7,1,8,4,3,6]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5},{6,7}}=>[4,2,2]
[6,7,2,1,8,4,3,5]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,7},{6}}=>[4,3,1]
[6,7,3,1,5,8,2,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>{{1,2,8},{3,4,5,7},{6}}=>[4,3,1]
[5,3,7,8,4,6,2,1]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>{{1,2,3,6,8},{4,5},{7}}=>[5,2,1]
[6,7,3,8,4,5,2,1]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,7},{6}}=>[5,2,1]
[3,2,8,7,5,4,6,1]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,4,5,6,7,8},{2,3}}=>[6,2]
[2,1,8,7,6,4,3,5]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2},{3,4,5,6,7,8}}=>[6,2]
[2,8,7,4,1,3,5,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[2,8,7,1,4,5,3,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[4,2,1,8,7,3,5,6]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>{{1,5,6,7,8},{2,3,4}}=>[5,3]
[8,7,4,6,2,3,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,2,3,5,4,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,4,2,3,6,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,8,3,5,4,7,1,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[6,2,1,8,4,5,3,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[3,1,7,4,8,5,2,6]=>[1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0]=>{{1,4,5,8},{2,3},{6,7}}=>[4,2,2]
[7,4,1,6,3,2,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[3,8,6,2,7,4,1,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[7,3,1,4,5,2,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[8,1,2,4,6,7,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,3,6,7,5,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,4,2,8,5,1,3,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[8,6,2,4,1,3,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,2,1,8,3,6,7,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>{{1,2,6,7,8},{3,4,5}}=>[5,3]
[7,3,8,2,5,6,4,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[5,7,3,1,6,4,8,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,6,7},{5}}=>[5,2,1]
[6,1,3,7,4,8,5,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>{{1,2,8},{3,7},{4,5,6}}=>[3,3,2]
[3,2,1,7,4,8,5,6]=>[1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0]=>{{1,2,3},{4,5,8},{6,7}}=>[3,3,2]
[6,2,7,1,4,8,5,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>{{1,2,8},{3,4,7},{5,6}}=>[3,3,2]
[4,3,2,1,8,5,7,6]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>{{1,2,3,4},{5,6,7,8}}=>[4,4]
[7,4,3,2,8,1,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[8,1,6,2,7,4,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,7,4,3,6,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[2,8,5,6,1,4,3,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[3,7,5,8,2,1,4,6]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,4,5,8},{3},{6,7}}=>[5,2,1]
[5,4,8,3,2,1,7,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[5,1,7,8,2,4,6,3]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>{{1,2,3,6,8},{4,5},{7}}=>[5,2,1]
[6,3,7,1,8,2,5,4]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,7},{5,6}}=>[4,2,2]
[6,1,2,7,8,3,5,4]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6},{7}}=>[4,3,1]
[3,7,4,8,5,2,1,6]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,4,5,8},{3},{6,7}}=>[5,2,1]
[7,2,5,8,6,3,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[7,3,8,1,6,4,2,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[2,8,7,1,6,3,5,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[3,8,7,6,2,1,5,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[5,8,7,2,6,1,4,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[7,3,8,6,5,1,2,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[5,8,6,4,3,2,1,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[8,7,6,2,5,3,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,2,3,4,7,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[3,8,2,7,6,5,4,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[8,3,1,7,6,5,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,2,8,7,6,4,3,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[8,3,2,1,7,6,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,4,1,7,6,5,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[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]=>{{1,4,8},{2,3},{5,6,7}}=>[3,3,2]
[8,1,6,2,4,5,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,8,1,6,2,3,4,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[8,5,7,4,3,1,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,7,4,2,3,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,2,3,1,5,7,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,5,1,8,2,4,3,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[3,5,8,1,2,4,7,6]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,4,6,7,8},{3},{5}}=>[6,1,1]
[8,4,1,5,2,3,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[3,8,4,1,2,7,6,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[8,5,3,2,6,1,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,8,4,1,2,5,3,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,8,1,2,6,5,3,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,8,2,1,6,3,5,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[5,1,7,3,6,4,8,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>{{1,8},{2,3,6,7},{4,5}}=>[4,2,2]
[5,6,2,1,7,3,8,4]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0]=>{{1,8},{2,7},{3,4,6},{5}}=>[3,2,2,1]
[3,8,6,5,2,7,1,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[3,8,5,6,1,7,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[3,7,8,5,2,1,6,4]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,4,5,6,8},{3},{7}}=>[6,1,1]
[2,1,8,7,6,3,5,4]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2},{3,4,5,6,7,8}}=>[6,2]
[5,4,1,6,3,2,8,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0]=>{{1,2,6},{3,4,5},{7,8}}=>[3,3,2]
[6,8,1,5,4,7,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[4,6,2,5,1,3,8,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]=>{{1,2,3,5,6},{4},{7,8}}=>[5,2,1]
[5,1,7,2,8,6,4,3]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5},{6,7}}=>[4,2,2]
[6,8,2,7,4,3,1,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[6,8,2,5,4,7,1,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[2,1,7,6,3,8,5,4]=>[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>{{1,2},{3,4,8},{5,6,7}}=>[3,3,2]
[7,6,2,8,4,3,1,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[5,2,7,3,8,6,1,4]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5},{6,7}}=>[4,2,2]
[5,8,3,2,7,6,1,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[3,5,8,2,7,1,4,6]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,4,6,7,8},{3},{5}}=>[6,1,1]
[4,5,8,2,6,1,3,7]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4},{5}}=>[6,1,1]
[6,8,3,7,2,1,5,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[5,8,3,1,6,2,7,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[4,5,8,1,6,3,2,7]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4},{5}}=>[6,1,1]
[6,8,4,7,1,5,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[4,3,2,1,6,8,5,7]=>[1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0]=>{{1,2,3,4},{5,7,8},{6}}=>[4,3,1]
[2,4,1,3,8,7,6,5]=>[1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0]=>{{1,3,4},{2},{5,6,7,8}}=>[4,3,1]
[2,1,5,4,8,7,3,6]=>[1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0]=>{{1,2},{3,6,7,8},{4,5}}=>[4,2,2]
[3,8,5,4,2,1,7,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[2,1,4,8,6,5,3,7]=>[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]=>{{1,2},{3,5,6,7,8},{4}}=>[5,2,1]
[4,3,2,8,7,6,1,5]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>{{1,5,6,7,8},{2,3,4}}=>[5,3]
[3,2,8,7,5,4,1,6]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,4,5,6,7,8},{2,3}}=>[6,2]
[2,8,6,5,4,3,1,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[5,4,2,6,3,1,8,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0]=>{{1,2,6},{3,4,5},{7,8}}=>[3,3,2]
[5,6,3,1,2,4,8,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>{{1,2,3,4,6},{5},{7,8}}=>[5,2,1]
[7,1,5,3,8,4,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[2,1,8,7,4,3,5,6]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2},{3,4,5,6,7,8}}=>[6,2]
[2,8,6,3,1,4,7,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[3,8,4,1,5,7,2,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[5,6,3,7,4,8,2,1]=>[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>{{1,2,8},{3,7},{4,6},{5}}=>[3,2,2,1]
[6,3,7,5,8,4,2,1]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,7},{5,6}}=>[4,2,2]
[8,5,2,6,1,7,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,6,8,5,1,4,2,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,1,8,5,4,2,3,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[2,1,7,8,5,3,4,6]=>[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>{{1,2},{3,4,5,6,8},{7}}=>[5,2,1]
[3,8,1,2,4,6,5,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[3,8,7,6,5,2,4,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[3,8,7,6,5,2,1,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[7,5,8,3,6,2,1,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,5,8,3,2,6,1,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,5,8,3,2,1,6,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[2,1,7,5,8,4,6,3]=>[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>{{1,2},{3,4,5,8},{6,7}}=>[4,2,2]
[8,6,4,1,3,2,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,3,2,6,5,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,3,6,2,4,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,4,1,2,6,5,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,3,5,6,2,1,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,4,2,1,5,6,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,4,7,6,8,2,3,1]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5},{6,7}}=>[4,2,2]
[7,4,1,8,3,5,6,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[5,3,8,7,4,6,1,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[7,5,8,2,1,4,6,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[8,7,4,2,1,3,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,4,8,3,2,6,1,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[6,8,2,3,1,7,5,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[8,2,1,3,6,4,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,7,8,2,1,4,3,6]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,6,8},{5},{7}}=>[6,1,1]
[8,4,7,1,3,2,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,4,7,2,1,3,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[3,8,5,1,6,7,2,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[7,6,2,4,5,1,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[8,1,4,5,2,6,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,4,6,5,2,1,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,3,4,1,5,6,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,8,7,1,2,6,4,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[6,8,2,1,7,5,4,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[5,8,7,4,1,2,6,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[2,8,7,4,3,6,1,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[7,6,4,2,8,5,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[7,6,4,8,5,1,2,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[7,6,4,5,1,3,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[7,6,3,5,2,4,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[7,6,4,2,5,1,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[7,6,2,8,3,1,4,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[5,2,3,4,8,6,1,7]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>{{1,6,7,8},{2,3,4,5}}=>[4,4]
[5,3,4,8,2,7,6,1]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>{{1,2,6,7,8},{3,4,5}}=>[5,3]
[5,3,8,2,4,1,7,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[5,2,8,4,1,7,3,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[6,4,3,5,8,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[6,3,5,4,8,2,7,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[6,3,5,8,7,1,2,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[5,8,4,1,3,7,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[6,4,5,3,8,1,7,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[6,4,3,8,5,7,2,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[5,2,8,6,4,7,3,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[5,6,3,4,7,1,8,2]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0]=>{{1,8},{2,7},{3,4,6},{5}}=>[3,2,2,1]
[5,2,3,8,4,1,7,6]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>{{1,2,6,7,8},{3,4,5}}=>[5,3]
[7,5,3,4,8,2,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[7,6,3,8,4,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[7,2,8,5,1,6,3,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,4,3,8,5,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[7,2,8,5,1,3,4,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,6,8,1,2,5,3,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[3,8,4,7,6,1,5,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[2,1,8,3,6,7,4,5]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2},{3,4,5,6,7,8}}=>[6,2]
[5,1,8,6,2,7,3,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[8,6,2,7,1,5,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,6,8,3,1,5,4,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,8,5,4,1,6,3,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[6,3,7,2,8,1,5,4]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,7},{5,6}}=>[4,2,2]
[7,5,2,8,6,1,4,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[5,7,8,4,1,6,3,2]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,6,8},{5},{7}}=>[6,1,1]
[8,4,6,5,3,1,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,3,1,8,2,7,4,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[7,8,1,2,4,3,6,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[5,2,8,1,3,4,7,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[8,1,4,3,5,7,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[3,8,6,1,4,7,5,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[8,7,1,3,6,5,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[3,2,7,1,6,8,4,5]=>[1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0]=>{{1,4,8},{2,3},{5,6,7}}=>[3,3,2]
[8,2,5,3,7,1,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[3,2,5,8,6,7,4,1]=>[1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0]=>{{1,4,6,7,8},{2,3},{5}}=>[5,2,1]
[6,3,5,8,7,4,1,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[8,3,5,7,6,4,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[3,2,8,7,1,5,6,4]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,4,5,6,7,8},{2,3}}=>[6,2]
[3,8,7,5,6,4,2,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[8,1,5,6,3,2,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,2,5,3,1,6,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,3,2,1,5,6,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,5,1,3,4,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,7,1,3,4,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[3,5,8,6,7,4,1,2]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,4,6,7,8},{3},{5}}=>[6,1,1]
[8,7,1,5,6,3,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,2,5,4,6,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,1,2,4,5,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,2,5,3,1,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,3,2,1,5,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,6,5,1,3,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,6,1,4,5,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,5,6,1,4,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,8,7,1,5,4,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[8,5,7,6,1,4,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,6,7,1,4,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,6,3,5,4,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,4,5,6,1,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,6,5,2,4,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,5,8,1,6,4,3,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,5,8,4,1,6,3,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[6,8,5,1,7,4,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[7,3,8,4,6,1,5,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[5,4,7,3,6,1,8,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>{{1,8},{2,3,6,7},{4,5}}=>[4,2,2]
[6,8,5,7,3,2,1,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[6,8,5,3,7,2,1,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[6,8,5,7,4,2,1,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[2,1,8,7,6,3,4,5]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2},{3,4,5,6,7,8}}=>[6,2]
[5,8,7,6,2,4,1,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[6,8,2,7,5,1,4,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[5,8,7,2,6,4,1,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[6,8,7,5,2,4,1,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[5,8,7,6,4,2,3,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[6,8,4,3,2,1,7,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[7,6,4,8,2,1,3,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[7,6,5,2,8,4,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[7,6,3,8,2,4,1,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[5,1,2,3,4,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>{{1,2,3,4,5},{6,7,8}}=>[5,3]
[7,6,5,8,2,4,3,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[6,8,7,4,5,2,3,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[6,8,4,7,5,2,3,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[6,8,4,7,2,5,3,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[6,8,4,2,7,5,3,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[6,8,4,7,2,1,5,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[6,8,4,7,3,5,2,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[6,8,4,2,7,1,5,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[6,4,2,8,7,5,3,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[6,8,4,7,3,2,5,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[6,8,4,2,1,7,5,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[6,8,4,7,3,2,1,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[6,8,5,7,1,4,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[5,8,7,2,3,6,1,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[6,8,2,7,5,4,1,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[6,8,3,7,5,2,1,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[6,8,1,7,3,5,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[6,8,4,7,3,1,5,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[6,8,1,7,3,2,5,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[3,8,5,7,6,1,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[3,8,2,7,6,5,1,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[3,8,1,7,6,2,5,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[6,8,5,2,7,4,1,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[6,8,3,4,7,1,5,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[6,8,1,3,7,2,5,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[2,8,1,3,7,6,5,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[2,8,3,4,7,6,1,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[6,8,5,4,2,7,1,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[6,8,1,4,3,7,5,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[6,8,1,4,2,7,5,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[6,5,4,3,8,7,1,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[3,1,7,2,8,5,6,4]=>[1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0]=>{{1,4,5,8},{2,3},{6,7}}=>[4,2,2]
[3,1,5,7,8,4,6,2]=>[1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0]=>{{1,4,6,8},{2,3},{5},{7}}=>[4,2,1,1]
[8,6,5,7,1,4,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,4,2,7,5,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,4,7,6,2,5,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,5,3,6,8,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[5,8,3,6,7,2,1,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[5,8,7,3,2,4,1,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[7,3,8,6,2,4,1,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,5,8,2,6,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,4,8,2,5,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,5,2,6,8,4,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[6,4,2,7,5,8,1,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>{{1,2,8},{3,7},{4,5,6}}=>[3,3,2]
[7,5,8,4,1,2,6,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,1,8,2,3,6,5,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,3,8,4,6,2,1,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,1,8,4,2,6,5,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,1,8,3,6,2,5,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,2,3,4,5,1,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[2,8,3,4,5,1,6,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[2,8,5,3,4,6,7,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[3,8,1,4,5,6,7,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[5,7,3,4,1,6,8,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,6,7},{5}}=>[5,2,1]
[8,1,2,4,5,6,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,1,2,3,4,6,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[5,1,2,4,8,6,7,3]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>{{1,6,7,8},{2,3,4,5}}=>[4,4]
[4,1,3,8,5,6,7,2]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>{{1,5,6,7,8},{2,3,4}}=>[5,3]
[5,1,3,8,4,6,7,2]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>{{1,2,6,7,8},{3,4,5}}=>[5,3]
[8,6,3,5,2,7,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,5,2,8,6,3,4,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[5,2,8,6,7,3,4,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[7,5,2,3,8,6,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[5,2,3,8,6,7,4,1]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>{{1,2,6,7,8},{3,4,5}}=>[5,3]
[8,4,1,7,3,5,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,3,8,4,1,2,6,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[6,3,5,8,4,1,2,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[7,3,5,6,8,4,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[8,5,1,7,4,6,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,4,5,1,8,6,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[6,2,3,4,8,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[8,6,3,1,5,7,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,4,2,8,5,6,3,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[7,4,8,5,6,1,2,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,4,5,8,6,1,2,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[7,5,8,6,1,2,3,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,3,4,8,5,6,1,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[7,3,4,5,8,6,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[8,6,3,1,7,5,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,2,8,3,4,5,6,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,4,5,2,8,6,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[8,5,2,7,4,6,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,2,4,8,6,7,3,1]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>{{1,2,6,7,8},{3,4,5}}=>[5,3]
[7,5,8,6,2,3,1,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,4,8,5,6,2,3,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,3,1,8,4,5,6,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[2,1,8,7,3,4,6,5]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2},{3,4,5,6,7,8}}=>[6,2]
[4,1,2,8,7,5,3,6]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>{{1,5,6,7,8},{2,3,4}}=>[5,3]
[3,1,7,6,8,2,4,5]=>[1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0]=>{{1,4,5,8},{2,3},{6,7}}=>[4,2,2]
[8,2,6,3,1,5,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,3,5,1,8,2,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[7,8,3,1,5,2,4,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[5,1,2,3,8,7,6,4]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>{{1,6,7,8},{2,3,4,5}}=>[4,4]
[5,1,2,3,8,6,7,4]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>{{1,6,7,8},{2,3,4,5}}=>[4,4]
[2,8,5,3,1,4,6,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[3,5,8,4,1,6,7,2]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,4,6,7,8},{3},{5}}=>[6,1,1]
[4,5,8,3,1,6,7,2]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4},{5}}=>[6,1,1]
[5,7,8,4,3,6,1,2]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,6,8},{5},{7}}=>[6,1,1]
[6,1,3,7,8,5,4,2]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6},{7}}=>[4,3,1]
[6,1,7,4,5,8,3,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>{{1,2,8},{3,4,7},{5,6}}=>[3,3,2]
[6,7,3,8,5,4,1,2]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,7},{6}}=>[5,2,1]
[7,1,3,4,8,6,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[8,4,1,3,2,5,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,1,2,4,3,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,1,2,3,5,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,1,2,3,4,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,1,4,2,3,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,1,2,5,3,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,1,2,3,6,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,1,2,5,4,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[3,1,8,4,6,2,7,5]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,4,5,6,7,8},{2,3}}=>[6,2]
[3,8,1,6,5,2,7,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[2,8,7,6,3,1,4,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[8,7,2,5,3,1,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,6,2,1,4,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,2,7,4,1,5,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,3,1,4,2,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,4,1,7,3,2,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,3,1,5,6,2,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,2,1,8,7,5,4,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[7,5,8,6,3,2,4,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[5,8,7,6,3,2,4,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[5,4,8,1,6,3,7,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[5,4,7,2,8,1,6,3]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5},{6,7}}=>[4,2,2]
[8,1,5,4,6,3,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[2,1,5,8,3,7,4,6]=>[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>{{1,2},{3,4,6,7,8},{5}}=>[5,2,1]
[2,1,7,4,8,3,6,5]=>[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>{{1,2},{3,4,5,8},{6,7}}=>[4,2,2]
[6,1,2,7,8,4,3,5]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6},{7}}=>[4,3,1]
[5,1,4,8,2,7,3,6]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>{{1,2,6,7,8},{3,4,5}}=>[5,3]
[3,4,1,2,8,7,5,6]=>[1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]=>{{1,2,4},{3},{5,6,7,8}}=>[4,3,1]
[1,3,2,7,8,5,4,6]=>[1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>{{1},{2,3},{4,5,6,8},{7}}=>[4,2,1,1]
[5,1,2,3,8,4,7,6]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>{{1,6,7,8},{2,3,4,5}}=>[4,4]
[4,1,2,3,8,7,5,6]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>{{1,2,3,4},{5,6,7,8}}=>[4,4]
[7,4,1,6,8,2,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[5,3,1,8,7,2,4,6]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>{{1,2,6,7,8},{3,4,5}}=>[5,3]
[6,1,7,2,5,8,3,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>{{1,2,8},{3,4,7},{5,6}}=>[3,3,2]
[7,8,6,5,2,1,4,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[8,6,7,5,2,1,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,5,6,2,1,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[3,2,8,5,6,7,1,4]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,4,5,6,7,8},{2,3}}=>[6,2]
[4,2,5,1,8,7,3,6]=>[1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0]=>{{1,6,7,8},{2,5},{3,4}}=>[4,2,2]
[4,2,6,1,5,8,3,7]=>[1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0]=>{{1,7,8},{2,5,6},{3,4}}=>[3,3,2]
[7,2,4,5,8,3,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[3,2,5,8,1,6,7,4]=>[1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0]=>{{1,4,6,7,8},{2,3},{5}}=>[5,2,1]
[8,1,4,3,2,5,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,2,5,1,8,3,4,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[5,1,8,2,4,3,6,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[8,2,3,1,5,6,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,6,1,3,8,2,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[5,4,1,2,3,8,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>{{1,2,3,4,5},{6,7,8}}=>[5,3]
[7,6,8,5,2,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[3,5,8,4,2,6,1,7]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,4,6,7,8},{3},{5}}=>[6,1,1]
[3,5,8,1,4,6,7,2]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,4,6,7,8},{3},{5}}=>[6,1,1]
[3,7,2,8,5,6,1,4]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,4,5,8},{3},{6,7}}=>[5,2,1]
[3,7,8,4,5,1,6,2]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,4,5,6,8},{3},{7}}=>[6,1,1]
[3,7,8,4,1,6,5,2]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,4,5,6,8},{3},{7}}=>[6,1,1]
[3,8,2,4,1,6,7,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[3,8,2,1,5,6,7,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[8,1,5,4,3,6,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,4,5,3,6,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,1,7,3,8,4,5,2]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,7},{5,6}}=>[4,2,2]
[5,8,2,3,4,6,1,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[5,7,2,3,4,6,8,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,6,7},{5}}=>[5,2,1]
[6,4,7,5,8,2,3,1]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,7},{5,6}}=>[4,2,2]
[6,7,4,1,8,2,3,5]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,7},{6}}=>[4,3,1]
[7,2,3,5,8,1,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[2,3,4,8,1,5,7,6]=>[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>{{1,5,6,7,8},{2},{3},{4}}=>[5,1,1,1]
[7,4,6,8,1,5,2,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[7,2,3,4,8,1,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[3,2,5,7,8,1,6,4]=>[1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0]=>{{1,4,6,8},{2,3},{5},{7}}=>[4,2,1,1]
[6,4,1,7,8,2,3,5]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6},{7}}=>[4,3,1]
[6,3,4,5,8,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[7,4,1,5,8,2,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[7,3,5,1,8,2,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[8,1,2,3,7,5,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[2,1,8,3,7,5,6,4]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2},{3,4,5,6,7,8}}=>[6,2]
[5,7,8,3,1,6,2,4]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,6,8},{5},{7}}=>[6,1,1]
[5,8,3,2,1,6,7,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[6,2,7,3,8,5,1,4]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,7},{5,6}}=>[4,2,2]
[6,2,3,7,8,5,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6},{7}}=>[4,3,1]
[6,7,3,2,8,5,1,4]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,7},{6}}=>[4,3,1]
[6,8,3,2,5,1,7,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[6,2,3,7,8,1,4,5]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6},{7}}=>[4,3,1]
[5,2,7,4,8,6,1,3]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5},{6,7}}=>[4,2,2]
[5,2,7,8,4,6,1,3]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>{{1,2,3,6,8},{4,5},{7}}=>[5,2,1]
[7,2,3,8,5,4,1,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[5,8,2,4,1,6,7,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[6,2,1,7,8,5,4,3]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6},{7}}=>[4,3,1]
[6,7,2,4,8,5,1,3]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,7},{6}}=>[4,3,1]
[6,7,2,8,5,4,1,3]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,7},{6}}=>[5,2,1]
[6,8,2,4,5,1,7,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[7,1,3,2,8,4,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[8,1,2,3,7,5,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,1,8,3,4,5,2,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,1,6,3,8,2,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[6,1,5,8,2,3,4,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[8,1,6,7,4,2,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,1,5,8,2,3,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[8,1,6,3,4,7,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,1,6,8,2,5,3,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[8,1,7,3,2,5,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[3,8,1,2,7,5,4,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[3,8,1,7,4,5,2,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[8,4,7,1,3,2,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,7,3,1,2,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[3,8,1,2,4,5,7,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[7,6,2,1,8,4,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[8,5,2,3,6,1,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,7,1,4,3,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,6,8,1,4,5,2,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[5,4,3,8,2,1,7,6]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>{{1,2,6,7,8},{3,4,5}}=>[5,3]
[5,8,7,3,2,1,6,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[8,7,6,1,4,3,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,6,1,3,4,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,1,4,5,6,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,5,6,7,4,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,8,3,4,1,6,2,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[5,6,2,7,3,8,4,1]=>[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>{{1,2,8},{3,7},{4,6},{5}}=>[3,2,2,1]
[3,7,2,8,4,1,5,6]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,4,5,8},{3},{6,7}}=>[5,2,1]
[5,1,3,8,2,4,6,7]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>{{1,2,6,7,8},{3,4,5}}=>[5,3]
[4,2,1,3,8,5,6,7]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>{{1,2,3,4},{5,6,7,8}}=>[4,4]
[8,5,7,6,3,1,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,7,6,3,2,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,5,3,1,6,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,8,1,4,5,6,3,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[6,8,1,4,5,3,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[2,3,4,8,1,6,7,5]=>[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>{{1,5,6,7,8},{2},{3},{4}}=>[5,1,1,1]
[2,1,7,5,3,8,6,4]=>[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>{{1,2},{3,4,8},{5,6,7}}=>[3,3,2]
[2,1,8,7,5,3,6,4]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2},{3,4,5,6,7,8}}=>[6,2]
[5,2,3,4,1,8,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>{{1,2,3,4,5},{6,7,8}}=>[5,3]
[3,8,1,2,5,4,7,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[7,4,6,8,5,3,2,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[7,5,8,6,3,2,1,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,4,8,5,6,3,2,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,5,8,6,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[6,4,2,1,8,5,3,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[5,3,8,7,4,2,1,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[5,3,8,4,2,1,6,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[8,6,3,5,7,4,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,4,2,1,8,5,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[6,3,5,8,4,2,1,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[7,5,2,1,8,6,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[8,5,2,1,7,4,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,3,6,8,4,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[7,4,8,5,6,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,3,4,5,8,6,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[7,3,8,4,5,6,2,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,4,1,2,8,3,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[6,4,1,2,8,3,5,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[7,6,4,1,8,2,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[7,3,1,2,8,4,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[7,6,3,1,8,2,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[5,3,6,1,2,4,8,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]=>{{1,2,3,6},{4,5},{7,8}}=>[4,2,2]
[5,8,3,1,7,2,4,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[7,5,4,1,8,2,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[7,6,1,4,8,2,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[7,5,1,6,8,2,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[4,1,2,8,6,3,7,5]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>{{1,5,6,7,8},{2,3,4}}=>[5,3]
[6,5,3,1,8,2,4,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[3,8,1,6,7,2,4,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[7,1,4,2,8,5,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[3,1,8,7,2,6,4,5]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,4,5,6,7,8},{2,3}}=>[6,2]
[3,1,8,2,5,6,7,4]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,4,5,6,7,8},{2,3}}=>[6,2]
[8,2,7,3,1,5,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,2,1,8,4,5,6,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[8,2,6,3,4,7,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,2,7,3,1,4,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,5,3,8,7,2,1,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[5,4,8,7,3,2,1,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[6,4,3,8,7,2,1,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[5,8,3,1,4,6,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[6,7,3,8,1,5,2,4]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,7},{6}}=>[5,2,1]
[7,2,3,8,1,6,5,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[7,2,3,8,5,1,6,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[7,2,8,4,1,6,5,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,2,8,4,5,1,6,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,8,3,4,1,6,5,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[8,1,2,3,5,6,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,1,2,4,5,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,1,2,8,3,4,7,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[7,1,2,5,3,6,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[3,1,8,2,5,4,6,7]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,4,5,6,7,8},{2,3}}=>[6,2]
[3,1,7,5,8,2,4,6]=>[1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0]=>{{1,4,5,8},{2,3},{6,7}}=>[4,2,2]
[6,3,5,1,8,2,4,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[3,2,8,7,6,1,5,4]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,4,5,6,7,8},{2,3}}=>[6,2]
[5,3,8,7,6,2,1,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[7,4,8,5,6,3,1,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[5,3,8,4,6,2,7,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[6,2,5,3,8,4,7,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[5,7,8,4,3,2,1,6]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,6,8},{5},{7}}=>[6,1,1]
[5,3,4,7,2,8,1,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>{{1,2,8},{3,4,5},{6,7}}=>[3,3,2]
[4,5,8,2,1,6,7,3]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4},{5}}=>[6,1,1]
[7,3,4,5,8,2,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[6,7,4,8,2,5,3,1]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,7},{6}}=>[5,2,1]
[7,3,4,8,6,2,5,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[4,1,2,7,8,6,3,5]=>[1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]=>{{1,5,6,8},{2,3,4},{7}}=>[4,3,1]
[5,1,8,2,7,6,3,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[7,1,6,2,8,3,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[8,2,1,7,4,6,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,2,7,6,8,3,4,1]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5},{6,7}}=>[4,2,2]
[8,2,1,7,3,5,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,2,8,6,4,1,7,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[5,2,3,8,7,1,4,6]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>{{1,2,6,7,8},{3,4,5}}=>[5,3]
[5,1,8,3,7,4,2,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[6,1,2,8,3,7,4,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[8,1,7,3,5,4,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,1,6,3,4,2,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[7,1,6,8,5,2,3,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[8,1,7,3,5,2,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,2,3,8,7,5,1,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[7,2,3,4,1,5,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[3,8,5,7,2,4,1,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[7,6,2,3,4,1,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[8,5,7,3,1,6,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[3,8,6,1,4,7,2,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[3,7,6,8,2,5,1,4]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,4,5,8},{3},{6,7}}=>[5,2,1]
[8,6,2,3,1,5,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[3,8,7,1,2,5,6,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[6,3,4,8,7,5,1,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[8,3,5,7,6,1,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[2,1,8,5,6,7,3,4]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2},{3,4,5,6,7,8}}=>[6,2]
[6,8,4,5,7,2,3,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[8,3,2,5,6,7,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,3,2,6,8,5,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[7,3,5,6,8,1,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[7,4,8,3,6,5,2,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,5,6,3,8,4,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[7,4,5,2,8,3,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[7,4,6,5,8,3,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[3,7,4,8,6,2,5,1]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,4,5,8},{3},{6,7}}=>[5,2,1]
[4,2,6,5,1,8,7,3]=>[1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0]=>{{1,7,8},{2,5,6},{3,4}}=>[3,3,2]
[6,5,4,1,3,2,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>{{1,2,3,4,5,6},{7,8}}=>[6,2]
[6,5,4,2,1,3,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>{{1,2,3,4,5,6},{7,8}}=>[6,2]
[8,7,4,3,6,1,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,8,4,2,1,5,6,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[8,6,7,2,4,5,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,8,2,3,6,1,5,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[2,1,7,8,4,5,6,3]=>[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>{{1,2},{3,4,5,6,8},{7}}=>[5,2,1]
[7,5,8,3,2,4,6,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[8,6,2,7,1,3,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,3,2,7,6,4,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,4,1,3,7,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,8,2,3,4,7,6,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[6,8,2,7,3,4,1,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[7,8,2,1,5,4,3,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,8,1,2,3,6,4,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[2,1,5,7,8,4,3,6]=>[1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0]=>{{1,2},{3,4,6,8},{5},{7}}=>[4,2,1,1]
[7,1,4,5,8,3,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[5,1,7,2,6,4,8,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>{{1,8},{2,3,6,7},{4,5}}=>[4,2,2]
[3,1,7,8,6,4,5,2]=>[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]=>{{1,4,5,6,8},{2,3},{7}}=>[5,2,1]
[3,7,2,8,4,6,5,1]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,4,5,8},{3},{6,7}}=>[5,2,1]
[2,3,4,8,7,5,6,1]=>[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>{{1,5,6,7,8},{2},{3},{4}}=>[5,1,1,1]
[6,4,7,5,8,3,2,1]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,7},{5,6}}=>[4,2,2]
[3,8,4,5,6,7,2,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[8,2,4,1,6,7,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[3,7,8,5,6,4,2,1]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,4,5,6,8},{3},{7}}=>[6,1,1]
[5,4,6,2,3,1,8,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]=>{{1,2,3,6},{4,5},{7,8}}=>[4,2,2]
[6,3,1,5,4,2,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>{{1,2,3,4,5,6},{7,8}}=>[6,2]
[6,4,5,3,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>{{1,2,3,4,5,6},{7,8}}=>[6,2]
[7,8,3,4,6,5,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[2,1,7,6,8,4,5,3]=>[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>{{1,2},{3,4,5,8},{6,7}}=>[4,2,2]
[2,1,8,5,3,7,6,4]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2},{3,4,5,6,7,8}}=>[6,2]
[2,1,8,6,7,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2},{3,4,5,6,7,8}}=>[6,2]
[7,5,4,2,3,1,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[7,4,1,3,2,6,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[7,6,5,8,1,2,4,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[5,4,8,2,3,6,7,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[3,2,8,1,6,7,4,5]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,4,5,6,7,8},{2,3}}=>[6,2]
[5,2,8,1,6,7,3,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[7,2,6,3,8,1,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[7,2,8,1,6,3,5,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[6,3,4,5,8,2,7,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[7,4,8,2,3,5,6,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,3,8,1,4,5,6,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,3,4,5,8,1,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[7,4,8,1,5,6,2,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,2,8,1,6,5,4,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[8,1,3,4,6,5,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,5,7,2,1,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[3,8,5,1,7,6,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[2,8,1,3,5,6,7,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[3,8,7,5,2,6,4,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[2,8,1,4,5,7,6,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[3,7,8,1,5,6,2,4]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,4,5,6,8},{3},{7}}=>[6,1,1]
[4,1,3,7,6,8,5,2]=>[1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0]=>{{1,5,8},{2,3,4},{6,7}}=>[3,3,2]
[3,1,8,6,7,5,4,2]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,4,5,6,7,8},{2,3}}=>[6,2]
[2,8,3,1,7,5,4,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[5,8,7,6,2,1,3,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[3,2,8,5,6,1,7,4]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,4,5,6,7,8},{2,3}}=>[6,2]
[3,5,8,7,4,6,2,1]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,4,6,7,8},{3},{5}}=>[6,1,1]
[6,4,5,2,8,7,3,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[6,4,2,7,8,5,3,1]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6},{7}}=>[4,3,1]
[5,7,4,1,6,2,8,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,6,7},{5}}=>[5,2,1]
[8,5,6,7,2,4,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,8,4,5,1,6,3,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[8,4,5,7,6,2,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,4,3,6,5,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,4,3,6,5,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,1,2,5,4,3,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>{{1,2,3,4,5,6},{7,8}}=>[6,2]
[2,8,6,3,4,7,1,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[8,1,2,3,5,7,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,2,3,6,5,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,2,3,7,6,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[2,8,1,6,7,5,3,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[8,1,2,3,5,4,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[3,7,8,6,4,2,1,5]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,4,5,6,8},{3},{7}}=>[6,1,1]
[3,7,8,4,6,2,1,5]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,4,5,6,8},{3},{7}}=>[6,1,1]
[8,3,1,5,7,6,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,4,5,1,3,2,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,2,3,6,7,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,6,7,2,5,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,4,1,3,2,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>{{1,2,3,4,5},{6,7,8}}=>[5,3]
[5,4,2,1,3,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>{{1,2,3,4,5},{6,7,8}}=>[5,3]
[8,6,2,4,3,5,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,3,2,1,6,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,2,8,1,4,3,7,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[7,1,6,8,2,4,5,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[8,4,6,2,3,7,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,1,3,7,5,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,8,1,3,4,7,2,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[5,8,6,2,3,1,4,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[5,8,7,3,2,4,6,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[7,6,2,8,3,5,4,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[8,7,5,2,6,3,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,4,7,3,1,5,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,2,6,3,1,4,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,3,2,7,6,1,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[3,8,2,7,6,4,1,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[6,3,5,2,8,7,4,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[5,8,4,3,2,7,6,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[6,3,5,7,8,2,4,1]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6},{7}}=>[4,3,1]
[3,8,6,5,1,7,2,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[8,4,6,7,5,2,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,4,5,7,2,6,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,7,4,3,8,5,2,1]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,7},{6}}=>[4,3,1]
[7,3,4,2,6,1,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[7,5,4,2,6,3,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[5,4,7,2,6,1,8,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>{{1,8},{2,3,6,7},{4,5}}=>[4,2,2]
[5,2,7,4,6,1,8,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>{{1,8},{2,3,6,7},{4,5}}=>[4,2,2]
[6,7,4,8,3,5,2,1]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,7},{6}}=>[5,2,1]
[2,1,5,8,7,4,6,3]=>[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>{{1,2},{3,4,6,7,8},{5}}=>[5,2,1]
[5,8,3,4,6,7,2,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[6,4,3,8,7,2,5,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[7,5,3,6,8,4,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[8,4,3,5,7,2,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,7,5,8,2,4,3,1]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,7},{6}}=>[5,2,1]
[8,1,5,3,2,6,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,7,3,5,4,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,1,3,8,4,6,5,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[3,2,8,1,5,6,7,4]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,4,5,6,7,8},{2,3}}=>[6,2]
[8,6,1,2,4,5,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,4,3,1,5,6,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,1,3,8,4,5,2,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[3,4,2,1,7,8,5,6]=>[1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0]=>{{1,2,4},{3},{5,6,8},{7}}=>[3,3,1,1]
[5,3,1,6,2,4,8,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0]=>{{1,2,6},{3,4,5},{7,8}}=>[3,3,2]
[8,4,5,1,2,7,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,4,5,1,2,3,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>{{1,2,3,4,5,6},{7,8}}=>[6,2]
[5,4,6,1,2,3,8,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]=>{{1,2,3,6},{4,5},{7,8}}=>[4,2,2]
[3,6,1,5,2,4,8,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]=>{{1,2,4,5,6},{3},{7,8}}=>[5,2,1]
[4,6,5,1,2,3,8,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]=>{{1,2,3,5,6},{4},{7,8}}=>[5,2,1]
[5,6,4,1,2,3,8,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>{{1,2,3,4,6},{5},{7,8}}=>[5,2,1]
[8,6,4,1,7,2,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[2,1,7,5,3,8,4,6]=>[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>{{1,2},{3,4,8},{5,6,7}}=>[3,3,2]
[6,8,4,1,7,2,3,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[2,1,8,6,7,3,4,5]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2},{3,4,5,6,7,8}}=>[6,2]
[2,1,7,6,8,3,4,5]=>[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>{{1,2},{3,4,5,8},{6,7}}=>[4,2,2]
[6,4,7,1,8,2,3,5]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,7},{5,6}}=>[4,2,2]
[8,4,6,1,7,2,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,3,1,6,7,2,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[4,3,1,2,7,8,5,6]=>[1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0]=>{{1,2,3,4},{5,6,8},{7}}=>[4,3,1]
[8,4,7,1,6,2,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,4,8,1,6,2,3,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[4,5,8,1,2,7,3,6]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4},{5}}=>[6,1,1]
[2,1,6,8,7,3,4,5]=>[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]=>{{1,2},{3,4,5,7,8},{6}}=>[5,2,1]
[8,5,7,6,1,2,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[3,7,1,8,6,2,4,5]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,4,5,8},{3},{6,7}}=>[5,2,1]
[3,8,1,7,6,2,4,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[6,8,7,5,1,2,3,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[6,4,7,3,8,5,1,2]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,7},{5,6}}=>[4,2,2]
[5,4,3,7,6,8,1,2]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>{{1,2,8},{3,4,5},{6,7}}=>[3,3,2]
[5,4,3,8,6,7,1,2]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>{{1,2,6,7,8},{3,4,5}}=>[5,3]
[5,3,2,6,1,8,7,4]=>[1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0]=>{{1,7,8},{2,6},{3,4,5}}=>[3,3,2]
[5,4,2,8,6,1,3,7]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>{{1,2,6,7,8},{3,4,5}}=>[5,3]
[5,3,2,6,1,8,4,7]=>[1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0]=>{{1,7,8},{2,6},{3,4,5}}=>[3,3,2]
[7,8,3,2,1,5,4,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,8,3,2,1,5,6,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[5,3,2,8,1,6,7,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>{{1,2,6,7,8},{3,4,5}}=>[5,3]
[5,3,2,7,1,8,6,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>{{1,2,8},{3,4,5},{6,7}}=>[3,3,2]
[6,3,7,2,1,8,5,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>{{1,2,8},{3,4,7},{5,6}}=>[3,3,2]
[5,4,2,8,7,1,3,6]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>{{1,2,6,7,8},{3,4,5}}=>[5,3]
[7,8,4,2,6,1,3,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,8,3,2,1,6,4,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[5,3,2,8,1,7,4,6]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>{{1,2,6,7,8},{3,4,5}}=>[5,3]
[4,3,2,1,8,7,5,6]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>{{1,2,3,4},{5,6,7,8}}=>[4,4]
[4,3,2,1,7,5,8,6]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0]=>{{1,2,3,4},{5,8},{6,7}}=>[4,2,2]
[5,3,2,8,1,4,7,6]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>{{1,2,6,7,8},{3,4,5}}=>[5,3]
[7,8,3,2,1,4,6,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[4,3,2,1,8,5,6,7]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>{{1,2,3,4},{5,6,7,8}}=>[4,4]
[7,8,5,6,1,2,4,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,8,4,1,6,2,5,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,8,1,3,2,6,5,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,8,3,1,2,6,5,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,8,2,3,1,6,5,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,8,2,1,3,6,5,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,8,1,2,3,6,5,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[5,1,2,8,3,7,6,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>{{1,2,6,7,8},{3,4,5}}=>[5,3]
[5,2,1,8,3,7,6,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>{{1,2,6,7,8},{3,4,5}}=>[5,3]
[5,3,4,8,7,6,1,2]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>{{1,2,6,7,8},{3,4,5}}=>[5,3]
[5,2,4,8,7,1,6,3]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>{{1,2,6,7,8},{3,4,5}}=>[5,3]
[5,2,3,8,1,7,6,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>{{1,2,6,7,8},{3,4,5}}=>[5,3]
[4,1,2,3,8,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>{{1,2,3,4},{5,6,7,8}}=>[4,4]
[4,1,3,2,8,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>{{1,2,3,4},{5,6,7,8}}=>[4,4]
[5,3,1,8,2,7,6,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>{{1,2,6,7,8},{3,4,5}}=>[5,3]
[5,1,3,8,2,7,6,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>{{1,2,6,7,8},{3,4,5}}=>[5,3]
[5,1,4,8,7,2,6,3]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>{{1,2,6,7,8},{3,4,5}}=>[5,3]
[5,4,1,8,7,2,6,3]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>{{1,2,6,7,8},{3,4,5}}=>[5,3]
[3,1,5,8,2,7,6,4]=>[1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0]=>{{1,4,6,7,8},{2,3},{5}}=>[5,2,1]
[3,1,4,2,8,7,6,5]=>[1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0]=>{{1,4},{2,3},{5,6,7,8}}=>[4,2,2]
[3,2,5,8,1,7,6,4]=>[1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0]=>{{1,4,6,7,8},{2,3},{5}}=>[5,2,1]
[6,2,5,1,4,3,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>{{1,2,3,4,5,6},{7,8}}=>[6,2]
[5,2,6,1,4,3,8,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]=>{{1,2,3,6},{4,5},{7,8}}=>[4,2,2]
[5,2,7,1,4,3,8,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>{{1,8},{2,3,6,7},{4,5}}=>[4,2,2]
[7,2,6,1,4,3,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[8,2,5,1,4,3,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,4,3,7,2,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,2,6,1,5,3,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,2,6,1,5,3,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[7,4,8,1,3,2,6,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[8,3,7,1,4,2,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,3,7,1,5,2,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,3,8,1,5,2,6,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[6,2,7,3,8,1,5,4]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,7},{5,6}}=>[4,2,2]
[5,1,8,3,7,2,6,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[3,1,7,4,8,2,6,5]=>[1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0]=>{{1,4,5,8},{2,3},{6,7}}=>[4,2,2]
[5,1,7,3,8,2,6,4]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5},{6,7}}=>[4,2,2]
[7,3,8,2,6,1,5,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[8,2,6,3,7,1,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,4,2,5,8,3,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[6,7,4,8,3,2,5,1]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,7},{6}}=>[5,2,1]
[6,7,4,8,3,2,1,5]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,7},{6}}=>[5,2,1]
[6,7,4,1,8,3,2,5]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,7},{6}}=>[4,3,1]
[5,3,7,8,1,4,2,6]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>{{1,2,3,6,8},{4,5},{7}}=>[5,2,1]
[7,3,5,8,1,4,6,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[7,4,1,5,8,3,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[6,7,4,3,8,1,5,2]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,7},{6}}=>[4,3,1]
[5,6,1,7,3,8,4,2]=>[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>{{1,2,8},{3,7},{4,6},{5}}=>[3,2,2,1]
[6,4,7,1,8,3,5,2]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,7},{5,6}}=>[4,2,2]
[6,7,2,8,4,5,1,3]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,7},{6}}=>[5,2,1]
[6,7,2,8,4,1,3,5]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,7},{6}}=>[5,2,1]
[6,1,7,4,8,3,2,5]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,7},{5,6}}=>[4,2,2]
[5,6,1,7,3,2,8,4]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>{{1,8},{2,3,7},{4,6},{5}}=>[3,2,2,1]
[6,7,4,2,8,3,5,1]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,7},{6}}=>[4,3,1]
[3,7,8,1,4,6,2,5]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,4,5,6,8},{3},{7}}=>[6,1,1]
[5,3,7,8,1,6,2,4]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>{{1,2,3,6,8},{4,5},{7}}=>[5,2,1]
[6,7,2,8,5,1,3,4]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,7},{6}}=>[5,2,1]
[6,4,1,7,8,2,5,3]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6},{7}}=>[4,3,1]
[5,6,2,7,1,8,4,3]=>[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>{{1,2,8},{3,7},{4,6},{5}}=>[3,2,2,1]
[5,6,1,7,2,8,4,3]=>[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>{{1,2,8},{3,7},{4,6},{5}}=>[3,2,2,1]
[8,3,2,5,1,6,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,5,3,8,2,4,6,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[8,2,4,5,6,3,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,2,4,5,6,1,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,3,6,4,1,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,4,1,5,6,3,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,4,5,6,3,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,4,5,8,3,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[7,4,5,8,3,6,1,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[7,8,4,2,1,3,6,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[6,3,2,7,1,8,5,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>{{1,2,8},{3,7},{4,5,6}}=>[3,3,2]
[6,7,3,8,2,5,4,1]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,7},{6}}=>[5,2,1]
[7,4,1,5,8,6,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[7,5,8,2,1,6,3,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[6,2,7,1,3,8,5,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>{{1,2,8},{3,4,7},{5,6}}=>[3,3,2]
[6,3,1,7,8,2,5,4]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6},{7}}=>[4,3,1]
[6,7,3,8,5,1,4,2]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,7},{6}}=>[5,2,1]
[5,4,1,2,3,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>{{1,2,3,4,5},{6,7,8}}=>[5,3]
[6,4,1,8,2,3,5,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[7,4,1,2,8,3,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[7,5,1,2,8,3,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[7,1,5,2,8,4,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[8,4,1,2,7,3,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,4,1,7,2,3,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,1,7,2,3,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,6,7,2,4,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,6,1,8,2,3,5,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[3,1,8,7,2,4,5,6]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,4,5,6,7,8},{2,3}}=>[6,2]
[5,8,1,2,7,3,6,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[5,1,8,2,7,4,6,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[6,8,1,7,2,3,5,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[6,8,7,1,2,3,4,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[5,8,6,1,2,3,4,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[7,8,1,6,2,3,5,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,1,8,6,2,4,5,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[8,1,7,6,2,4,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,1,6,2,3,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,3,7,2,1,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,8,1,4,5,7,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[8,7,2,4,5,1,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,3,1,4,5,2,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>{{1,2,3,4,5,6},{7,8}}=>[6,2]
[3,1,6,4,5,2,8,7]=>[1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0]=>{{1,4,5,6},{2,3},{7,8}}=>[4,2,2]
[8,3,7,4,5,1,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,8,7,4,2,6,3,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[8,1,7,4,2,6,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[3,7,8,4,5,1,2,6]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,4,5,6,8},{3},{7}}=>[6,1,1]
[8,5,7,4,1,6,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[3,8,4,2,5,6,7,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[8,4,1,3,5,6,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,5,8,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[6,5,3,8,4,1,7,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[2,1,4,8,3,6,7,5]=>[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]=>{{1,2},{3,5,6,7,8},{4}}=>[5,2,1]
[7,3,8,4,2,6,1,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[8,3,1,2,5,6,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,1,4,3,6,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,3,1,4,2,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,3,5,1,2,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,8,3,2,6,1,7,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[3,5,8,4,7,6,2,1]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,4,6,7,8},{3},{5}}=>[6,1,1]
[5,8,2,4,7,6,1,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[2,1,8,5,3,6,7,4]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2},{3,4,5,6,7,8}}=>[6,2]
[6,8,3,5,2,1,7,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[7,8,5,4,2,6,1,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[8,4,2,1,5,6,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,5,2,4,8,6,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[2,1,5,3,8,6,7,4]=>[1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0]=>{{1,2},{3,6,7,8},{4,5}}=>[4,2,2]
[6,5,3,7,2,8,4,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>{{1,2,8},{3,7},{4,5,6}}=>[3,3,2]
[6,7,2,4,5,8,3,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>{{1,2,8},{3,4,5,7},{6}}=>[4,3,1]
[5,6,3,7,1,8,4,2]=>[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>{{1,2,8},{3,7},{4,6},{5}}=>[3,2,2,1]
[3,8,7,4,5,2,1,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[3,7,8,4,1,6,2,5]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,4,5,6,8},{3},{7}}=>[6,1,1]
[6,8,5,2,3,1,4,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[3,2,8,6,4,1,5,7]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,4,5,6,7,8},{2,3}}=>[6,2]
[7,1,5,2,8,3,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[7,1,6,8,2,3,4,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[3,2,8,7,1,4,5,6]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,4,5,6,7,8},{2,3}}=>[6,2]
[5,8,7,2,1,3,4,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[8,5,7,2,1,3,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,4,2,1,8,3,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[8,4,2,1,7,3,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,1,2,7,3,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[3,2,7,1,8,4,5,6]=>[1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0]=>{{1,4,5,8},{2,3},{6,7}}=>[4,2,2]
[8,6,1,7,2,3,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,8,1,6,2,3,4,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[3,2,8,1,7,4,5,6]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,4,5,6,7,8},{2,3}}=>[6,2]
[5,1,8,2,7,3,4,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[8,1,7,6,2,3,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[2,8,4,1,6,5,7,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[2,8,5,6,7,4,3,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[7,5,8,6,1,4,2,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,5,8,2,4,1,6,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[2,8,5,3,4,7,6,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[2,8,5,3,4,1,7,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[2,8,5,3,6,1,7,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[2,8,5,6,7,4,1,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[2,8,5,3,4,7,1,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[2,8,5,3,4,6,1,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[6,5,2,8,3,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[6,5,2,8,3,1,4,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[7,5,8,2,4,6,3,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,5,8,6,1,4,3,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[5,1,2,6,4,8,7,3]=>[1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0]=>{{1,7,8},{2,6},{3,4,5}}=>[3,3,2]
[5,1,2,8,6,4,7,3]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>{{1,2,6,7,8},{3,4,5}}=>[5,3]
[6,5,2,8,3,7,4,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[4,1,2,3,8,6,5,7]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>{{1,2,3,4},{5,6,7,8}}=>[4,4]
[4,1,2,3,8,6,7,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>{{1,2,3,4},{5,6,7,8}}=>[4,4]
[4,1,2,3,8,5,7,6]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>{{1,2,3,4},{5,6,7,8}}=>[4,4]
[6,5,2,8,3,7,1,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[5,7,8,6,3,4,2,1]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,6,8},{5},{7}}=>[6,1,1]
[6,1,2,5,8,4,7,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[7,4,2,5,1,3,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[8,5,3,6,1,7,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,3,6,2,4,7,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,4,2,3,7,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,4,8,5,2,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[5,8,2,6,3,7,1,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[3,8,6,1,2,7,4,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[3,8,6,2,4,7,1,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[6,8,4,3,7,1,2,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[3,8,5,7,1,2,4,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[2,8,5,7,1,3,4,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[7,3,8,5,6,1,2,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[6,3,7,5,8,1,2,4]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,7},{5,6}}=>[4,2,2]
[5,4,7,3,8,1,2,6]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5},{6,7}}=>[4,2,2]
[8,4,6,3,7,1,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,4,1,6,7,2,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,4,1,8,6,2,3,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[7,6,1,8,5,2,3,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[8,6,1,7,5,2,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,3,8,7,1,2,4,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[8,3,7,6,1,2,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,4,7,6,1,2,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,4,8,7,1,2,3,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[3,5,8,7,1,2,4,6]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,4,6,7,8},{3},{5}}=>[6,1,1]
[7,5,8,6,4,1,2,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[6,8,4,7,5,1,2,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[5,8,7,1,6,2,3,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[2,8,7,6,1,3,4,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[3,8,7,6,1,2,4,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[5,6,3,1,4,2,8,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>{{1,2,3,4,6},{5},{7,8}}=>[5,2,1]
[7,5,3,8,2,1,6,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[3,8,7,4,5,1,6,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[6,7,1,4,5,8,2,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>{{1,2,8},{3,4,5,7},{6}}=>[4,3,1]
[2,1,7,8,5,3,6,4]=>[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>{{1,2},{3,4,5,6,8},{7}}=>[5,2,1]
[7,5,1,4,8,6,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[6,4,3,8,1,5,7,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[8,6,3,1,2,5,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,1,4,2,6,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,3,8,4,1,6,5,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,5,3,6,2,4,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[8,5,3,6,2,7,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,2,6,3,4,5,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[8,6,5,2,3,7,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,2,1,7,3,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,5,2,1,8,3,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[4,2,6,5,1,8,3,7]=>[1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0]=>{{1,7,8},{2,5,6},{3,4}}=>[3,3,2]
[5,4,8,6,2,7,1,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[7,8,5,2,3,6,1,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[6,8,2,1,7,3,4,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[2,8,1,7,3,4,5,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[3,8,6,1,7,2,4,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[8,1,2,7,3,4,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,3,7,1,2,8,4,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>{{1,2,8},{3,4,7},{5,6}}=>[3,3,2]
[7,2,6,1,8,3,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[8,2,6,1,7,3,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,3,1,5,8,2,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[8,5,3,7,6,1,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,6,8,2,3,5,1,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[3,7,8,2,4,6,1,5]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,4,5,6,8},{3},{7}}=>[6,1,1]
[5,4,7,8,2,6,1,3]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>{{1,2,3,6,8},{4,5},{7}}=>[5,2,1]
[3,7,8,1,6,2,4,5]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,4,5,6,8},{3},{7}}=>[6,1,1]
[2,1,8,7,3,4,5,6]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2},{3,4,5,6,7,8}}=>[6,2]
[8,2,7,6,1,3,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[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]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[6,8,3,7,5,1,2,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[7,8,6,2,5,1,3,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[8,1,6,7,3,2,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,5,3,7,2,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,5,3,6,2,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,4,8,3,2,6,5,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[8,1,4,3,2,6,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,4,3,2,7,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,5,4,6,7,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,5,3,6,2,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,4,3,2,6,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,4,3,2,5,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,4,8,3,2,5,6,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[6,4,3,1,2,5,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>{{1,2,3,4,5,6},{7,8}}=>[6,2]
[7,4,1,3,2,5,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[7,5,1,3,6,2,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[6,4,3,8,2,5,1,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[5,4,3,2,8,6,1,7]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>{{1,6,7,8},{2,3,4,5}}=>[4,4]
[5,4,3,2,8,7,1,6]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>{{1,6,7,8},{2,3,4,5}}=>[4,4]
[6,5,4,8,7,1,2,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[6,4,3,8,2,7,5,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[6,5,3,8,7,2,4,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[7,5,1,3,8,2,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[6,5,3,7,8,2,4,1]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6},{7}}=>[4,3,1]
[6,4,3,7,2,8,5,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>{{1,2,8},{3,7},{4,5,6}}=>[3,3,2]
[7,5,8,4,1,6,2,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[6,5,4,8,1,7,2,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[6,5,3,8,1,2,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[6,5,4,7,1,8,2,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>{{1,2,8},{3,7},{4,5,6}}=>[3,3,2]
[5,7,8,4,1,3,6,2]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,6,8},{5},{7}}=>[6,1,1]
[5,7,8,4,1,3,2,6]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,6,8},{5},{7}}=>[6,1,1]
[5,7,8,4,1,2,3,6]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,6,8},{5},{7}}=>[6,1,1]
[5,7,8,2,1,6,3,4]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,6,8},{5},{7}}=>[6,1,1]
[3,2,7,8,1,6,4,5]=>[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]=>{{1,4,5,6,8},{2,3},{7}}=>[5,2,1]
[5,7,8,2,1,6,4,3]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,6,8},{5},{7}}=>[6,1,1]
[5,7,8,3,1,2,4,6]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,6,8},{5},{7}}=>[6,1,1]
[3,2,7,8,1,5,4,6]=>[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]=>{{1,4,5,6,8},{2,3},{7}}=>[5,2,1]
[5,7,8,2,1,3,6,4]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,6,8},{5},{7}}=>[6,1,1]
[3,2,7,8,1,4,6,5]=>[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]=>{{1,4,5,6,8},{2,3},{7}}=>[5,2,1]
[8,3,5,1,7,4,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,3,4,1,7,5,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,8,4,3,1,7,5,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[6,7,5,1,8,4,3,2]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,7},{6}}=>[4,3,1]
[6,8,4,1,7,5,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[6,7,5,3,1,8,4,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>{{1,2,8},{3,4,5,7},{6}}=>[4,3,1]
[8,4,2,1,6,7,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,4,1,2,6,7,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[4,3,1,2,7,6,8,5]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0]=>{{1,2,3,4},{5,8},{6,7}}=>[4,2,2]
[6,7,1,5,8,2,3,4]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,7},{6}}=>[4,3,1]
[8,4,1,6,7,5,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,2,6,4,7,1,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,6,2,5,8,3,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[8,4,2,6,7,5,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,2,6,5,7,1,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[2,8,3,5,7,6,1,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[6,8,2,3,5,7,1,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[6,7,1,3,5,8,2,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>{{1,2,8},{3,4,5,7},{6}}=>[4,3,1]
[8,3,5,7,6,1,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,8,7,1,5,3,2,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[6,8,7,3,5,1,2,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[7,8,1,3,6,5,2,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,8,2,3,6,5,1,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[8,5,7,1,6,2,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,7,1,2,6,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,8,2,7,1,3,5,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[6,2,4,8,7,1,5,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[6,2,4,8,1,7,5,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[6,8,7,2,3,5,1,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[6,8,2,1,7,3,5,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[8,5,7,2,1,6,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,7,1,2,3,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,7,2,3,1,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,2,5,4,7,1,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,6,1,2,4,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,6,1,4,2,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,6,4,1,3,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,7,1,3,2,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,8,4,7,1,2,6,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[8,1,2,6,5,7,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,2,5,6,7,4,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,3,7,1,2,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,3,7,2,1,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,6,3,1,4,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,3,2,7,1,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,2,4,5,7,1,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,2,3,7,1,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,3,1,5,2,7,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,4,2,1,7,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,4,2,1,7,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,5,4,2,3,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>{{1,2,3,4,5,6},{7,8}}=>[6,2]
[6,3,2,5,1,4,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>{{1,2,3,4,5,6},{7,8}}=>[6,2]
[8,5,4,1,2,7,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,4,1,6,3,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,4,1,6,3,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,4,1,6,5,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,4,3,1,7,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,3,2,5,1,7,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,3,2,5,1,7,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,4,3,1,7,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,4,1,3,7,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,4,1,6,5,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[2,1,8,7,6,4,5,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2},{3,4,5,6,7,8}}=>[6,2]
[8,3,2,7,6,4,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,4,2,3,7,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,4,2,6,5,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,4,2,6,3,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,4,2,6,3,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,3,1,7,6,4,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,3,1,7,6,4,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,3,1,5,4,7,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,3,1,7,6,5,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,3,1,7,6,2,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,4,2,3,7,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,3,2,5,4,7,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[2,1,8,5,4,7,3,6]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2},{3,4,5,6,7,8}}=>[6,2]
[8,3,2,7,6,5,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,6,5,3,1,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,3,2,7,6,1,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,6,5,1,2,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,4,5,2,3,1,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[6,3,5,2,4,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>{{1,2,3,4,5,6},{7,8}}=>[6,2]
[5,2,7,3,4,1,8,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>{{1,8},{2,3,6,7},{4,5}}=>[4,2,2]
[3,1,8,6,7,4,5,2]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,4,5,6,7,8},{2,3}}=>[6,2]
[8,5,7,3,4,1,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,6,2,7,3,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,4,7,3,5,1,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[2,1,8,5,7,4,6,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2},{3,4,5,6,7,8}}=>[6,2]
[7,3,6,2,5,1,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[8,5,6,2,3,1,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,3,8,5,6,2,4,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,3,8,4,6,2,5,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[6,2,7,3,8,4,5,1]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,7},{5,6}}=>[4,2,2]
[3,1,8,5,6,2,7,4]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,4,5,6,7,8},{2,3}}=>[6,2]
[7,3,6,2,8,4,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[6,8,7,3,4,1,2,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[5,4,8,7,2,6,3,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[5,3,8,7,6,1,2,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[8,3,4,6,5,1,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[3,5,8,7,6,1,2,4]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,4,6,7,8},{3},{5}}=>[6,1,1]
[4,5,8,7,6,1,2,3]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4},{5}}=>[6,1,1]
[4,5,8,7,1,6,3,2]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4},{5}}=>[6,1,1]
[3,5,8,2,7,6,4,1]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,4,6,7,8},{3},{5}}=>[6,1,1]
[3,5,8,1,7,6,4,2]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,4,6,7,8},{3},{5}}=>[6,1,1]
[2,8,4,7,1,5,3,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[8,2,4,6,1,5,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,4,6,2,5,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,2,3,1,6,5,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,2,8,7,1,6,3,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[5,2,8,1,7,6,4,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[5,3,8,2,7,6,4,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[6,8,3,2,7,5,4,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[6,8,3,1,7,5,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[6,8,1,2,7,5,4,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[6,8,2,3,7,5,4,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[5,2,8,3,7,6,4,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[5,1,8,3,7,6,4,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[5,1,8,7,2,6,3,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[8,4,1,6,2,5,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,3,1,2,6,5,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[4,1,3,8,7,6,5,2]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>{{1,5,6,7,8},{2,3,4}}=>[5,3]
[2,1,8,3,7,6,4,5]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2},{3,4,5,6,7,8}}=>[6,2]
[2,8,1,3,7,5,4,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[8,2,1,3,6,5,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,2,1,8,7,3,4,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[7,6,2,1,8,3,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[3,1,8,6,2,4,7,5]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,4,5,6,7,8},{2,3}}=>[6,2]
[8,3,1,6,2,4,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,1,8,3,2,4,6,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[8,1,5,4,2,7,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,3,1,7,2,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,2,1,7,3,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,1,8,3,2,6,4,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,2,1,8,6,3,4,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[5,1,8,7,6,2,4,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[8,1,7,6,3,4,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,7,8,6,2,4,1,3]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,6,8},{5},{7}}=>[6,1,1]
[8,1,4,5,3,7,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,1,4,5,3,6,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[6,3,5,8,2,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[8,4,5,7,3,6,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,4,5,8,3,7,2,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[5,4,8,6,3,1,7,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[5,4,1,8,2,3,7,6]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>{{1,2,6,7,8},{3,4,5}}=>[5,3]
[8,4,1,5,2,6,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,3,5,8,2,1,4,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[2,8,6,7,1,3,5,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[8,3,5,7,2,1,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,4,5,6,3,1,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,3,5,8,2,1,6,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[8,7,5,6,1,4,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[2,8,6,1,7,3,4,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[6,7,3,8,2,1,5,4]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,7},{6}}=>[5,2,1]
[6,7,3,8,1,2,5,4]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,7},{6}}=>[5,2,1]
[5,1,7,4,8,2,6,3]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5},{6,7}}=>[4,2,2]
[5,1,7,4,8,6,2,3]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5},{6,7}}=>[4,2,2]
[6,7,1,8,3,5,2,4]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,7},{6}}=>[5,2,1]
[6,7,2,8,1,3,5,4]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,7},{6}}=>[5,2,1]
[6,7,2,8,3,5,1,4]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,7},{6}}=>[5,2,1]
[4,2,1,7,8,5,6,3]=>[1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]=>{{1,5,6,8},{2,3,4},{7}}=>[4,3,1]
[4,1,2,7,8,6,5,3]=>[1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]=>{{1,5,6,8},{2,3,4},{7}}=>[4,3,1]
[6,7,1,8,5,2,3,4]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,7},{6}}=>[5,2,1]
[6,7,1,8,5,3,2,4]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,7},{6}}=>[5,2,1]
[3,7,4,8,5,6,1,2]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,4,5,8},{3},{6,7}}=>[5,2,1]
[3,7,1,8,5,6,2,4]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,4,5,8},{3},{6,7}}=>[5,2,1]
[3,7,1,8,4,6,2,5]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,4,5,8},{3},{6,7}}=>[5,2,1]
[5,8,1,6,2,7,3,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[5,8,2,6,1,7,3,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[8,6,1,4,3,2,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[4,1,5,2,8,7,3,6]=>[1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0]=>{{1,6,7,8},{2,5},{3,4}}=>[4,2,2]
[8,1,2,4,6,5,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,2,6,5,1,3,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,3,1,6,2,5,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,2,6,4,5,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,2,5,6,4,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,1,4,7,2,8,3,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>{{1,2,8},{3,4,5},{6,7}}=>[3,3,2]
[5,3,7,1,8,2,4,6]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5},{6,7}}=>[4,2,2]
[3,1,7,8,2,6,4,5]=>[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]=>{{1,4,5,6,8},{2,3},{7}}=>[5,2,1]
[2,1,8,6,3,4,7,5]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2},{3,4,5,6,7,8}}=>[6,2]
[3,1,7,2,8,6,4,5]=>[1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0]=>{{1,4,5,8},{2,3},{6,7}}=>[4,2,2]
[5,7,8,4,2,6,1,3]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,6,8},{5},{7}}=>[6,1,1]
[8,6,3,7,2,1,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,7,8,3,2,1,6,4]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,6,8},{5},{7}}=>[6,1,1]
[3,7,8,4,2,5,1,6]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,4,5,6,8},{3},{7}}=>[6,1,1]
[7,6,3,8,2,1,4,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[8,6,3,7,2,1,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,4,3,2,1,6,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,4,3,2,1,7,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,5,3,2,8,1,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[8,5,4,2,7,6,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,5,4,2,8,6,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[8,5,4,2,6,7,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,6,3,7,2,1,8,4]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>{{1,8},{2,3,7},{4,6},{5}}=>[3,2,2,1]
[7,4,3,2,1,6,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[8,4,3,2,1,6,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,4,3,2,1,5,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,4,3,2,1,5,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[6,4,3,2,1,5,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>{{1,2,3,4,5,6},{7,8}}=>[6,2]
[3,2,5,8,4,6,1,7]=>[1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0]=>{{1,4,6,7,8},{2,3},{5}}=>[5,2,1]
[4,2,5,3,8,1,6,7]=>[1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0]=>{{1,6,7,8},{2,5},{3,4}}=>[4,2,2]
[4,1,5,3,8,2,6,7]=>[1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0]=>{{1,6,7,8},{2,5},{3,4}}=>[4,2,2]
[7,2,1,4,6,3,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[7,2,1,5,3,6,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[8,2,4,3,7,1,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,8,2,4,3,7,1,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[6,1,5,8,3,2,4,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[3,8,2,4,7,1,5,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[3,2,5,1,8,4,6,7]=>[1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0]=>{{1,6,7,8},{2,3},{4,5}}=>[4,2,2]
[7,8,3,2,4,6,1,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[6,1,5,7,8,3,2,4]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6},{7}}=>[4,3,1]
[5,8,6,1,7,3,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[6,1,5,8,7,3,2,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[8,7,3,2,4,6,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[3,2,5,1,8,7,4,6]=>[1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0]=>{{1,6,7,8},{2,3},{4,5}}=>[4,2,2]
[3,2,4,1,8,7,5,6]=>[1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0]=>{{1,4},{2,3},{5,6,7,8}}=>[4,2,2]
[3,8,6,5,1,7,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[6,5,1,7,8,4,2,3]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6},{7}}=>[4,3,1]
[8,3,2,4,7,6,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[3,2,5,1,8,4,7,6]=>[1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0]=>{{1,6,7,8},{2,3},{4,5}}=>[4,2,2]
[6,5,1,8,4,2,3,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[8,4,2,3,7,5,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,4,2,3,8,5,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[8,5,1,6,4,2,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[3,2,5,1,8,6,4,7]=>[1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0]=>{{1,6,7,8},{2,3},{4,5}}=>[4,2,2]
[8,6,1,5,7,3,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,6,1,7,3,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,1,6,7,4,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[3,2,5,1,8,6,7,4]=>[1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0]=>{{1,6,7,8},{2,3},{4,5}}=>[4,2,2]
[8,7,5,1,6,4,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[3,2,5,1,8,7,6,4]=>[1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0]=>{{1,6,7,8},{2,3},{4,5}}=>[4,2,2]
[5,4,7,8,3,1,6,2]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>{{1,2,3,6,8},{4,5},{7}}=>[5,2,1]
[6,4,3,8,5,1,7,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[5,8,4,3,6,1,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[5,4,8,3,6,1,7,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[5,4,8,2,1,6,3,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[3,2,7,1,5,8,6,4]=>[1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0]=>{{1,4,8},{2,3},{5,6,7}}=>[3,3,2]
[3,8,2,5,1,6,7,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[6,3,2,7,8,1,5,4]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6},{7}}=>[4,3,1]
[6,2,1,8,5,3,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[3,2,7,1,4,8,6,5]=>[1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0]=>{{1,4,8},{2,3},{5,6,7}}=>[3,3,2]
[3,5,8,2,1,7,4,6]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,4,6,7,8},{3},{5}}=>[6,1,1]
[6,3,2,8,1,4,7,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[5,3,2,1,8,4,6,7]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>{{1,6,7,8},{2,3,4,5}}=>[4,4]
[6,2,3,1,5,4,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>{{1,2,3,4,5,6},{7,8}}=>[6,2]
[8,4,5,2,3,1,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,2,5,3,4,1,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,2,5,3,4,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>{{1,2,3,4,5,6},{7,8}}=>[6,2]
[6,4,5,1,3,2,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>{{1,2,3,4,5,6},{7,8}}=>[6,2]
[6,1,5,3,4,2,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>{{1,2,3,4,5,6},{7,8}}=>[6,2]
[8,3,7,2,4,1,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,3,5,1,4,2,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,4,5,1,3,2,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[2,1,8,4,5,3,7,6]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2},{3,4,5,6,7,8}}=>[6,2]
[8,1,7,3,4,2,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,2,7,1,4,3,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,2,7,3,4,1,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,4,7,2,3,1,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,2,3,1,5,4,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[4,2,3,1,8,5,7,6]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>{{1,2,3,4},{5,6,7,8}}=>[4,4]
[8,2,3,1,7,5,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,7,1,3,2,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,3,2,7,5,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[2,1,8,5,7,3,6,4]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2},{3,4,5,6,7,8}}=>[6,2]
[4,5,8,6,3,2,7,1]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4},{5}}=>[6,1,1]
[6,7,2,8,4,1,5,3]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,7},{6}}=>[5,2,1]
[2,8,4,6,1,5,7,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[6,3,1,8,4,5,7,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[7,6,1,8,4,2,5,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[2,8,3,7,1,6,5,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[5,2,8,7,3,6,1,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[7,2,1,8,4,6,5,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[3,2,7,8,4,6,5,1]=>[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]=>{{1,4,5,6,8},{2,3},{7}}=>[5,2,1]
[5,2,7,8,1,4,6,3]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>{{1,2,3,6,8},{4,5},{7}}=>[5,2,1]
[7,2,5,8,3,4,6,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[2,8,3,5,4,1,6,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[2,8,4,5,3,1,6,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[7,3,5,8,2,4,6,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[4,3,1,2,8,5,6,7]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>{{1,2,3,4},{5,6,7,8}}=>[4,4]
[3,7,1,8,5,4,6,2]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,4,5,8},{3},{6,7}}=>[5,2,1]
[2,8,7,4,1,6,5,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[2,8,5,4,3,1,6,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[7,3,2,8,5,4,6,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[2,8,4,3,5,1,6,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[7,2,3,8,5,4,6,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[4,2,3,1,8,5,6,7]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>{{1,2,3,4},{5,6,7,8}}=>[4,4]
[5,1,3,2,4,8,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>{{1,2,3,4,5},{6,7,8}}=>[5,3]
[2,8,1,5,3,4,7,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[5,1,2,7,4,8,3,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>{{1,2,8},{3,4,5},{6,7}}=>[3,3,2]
[8,3,5,1,4,7,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[2,8,1,4,3,7,6,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[7,1,6,2,8,4,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[6,1,2,8,4,3,7,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[6,4,1,2,8,3,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[7,6,1,3,2,4,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[5,8,1,3,7,2,4,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[8,6,1,3,2,4,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,1,2,8,4,3,6,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[2,8,1,7,5,3,4,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[8,3,7,1,5,2,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,1,4,2,7,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,1,2,8,6,4,3,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[3,7,4,8,1,6,2,5]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,4,5,8},{3},{6,7}}=>[5,2,1]
[2,8,1,7,6,4,3,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[7,8,3,4,1,5,2,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[6,8,3,4,1,7,2,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[5,8,3,4,1,7,2,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[5,6,2,7,3,8,1,4]=>[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>{{1,2,8},{3,7},{4,6},{5}}=>[3,2,2,1]
[6,5,3,2,1,4,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>{{1,2,3,4,5,6},{7,8}}=>[6,2]
[8,7,3,5,2,4,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,8,2,4,5,7,3,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[3,6,1,4,5,2,8,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]=>{{1,2,4,5,6},{3},{7,8}}=>[5,2,1]
[8,3,7,4,5,2,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,7,4,3,6,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,3,5,1,4,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[2,1,6,8,5,7,4,3]=>[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]=>{{1,2},{3,4,5,7,8},{6}}=>[5,2,1]
[6,8,3,5,1,7,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[3,8,7,4,1,6,2,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[3,8,1,2,5,6,7,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[2,8,7,4,5,1,3,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[8,7,2,4,1,6,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,8,3,6,2,4,7,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[8,6,3,2,1,4,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,3,5,2,1,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,8,3,6,2,1,7,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[6,8,3,5,1,7,2,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[5,8,3,6,1,2,7,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[5,8,1,4,7,6,2,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[8,4,3,7,6,1,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,2,7,3,6,4,8,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>{{1,8},{2,3,6,7},{4,5}}=>[4,2,2]
[8,3,4,7,6,1,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,2,4,7,1,6,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,7,1,3,5,8,4,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>{{1,2,8},{3,4,5,7},{6}}=>[4,3,1]
[2,8,4,7,1,6,5,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[8,1,4,7,2,6,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,3,2,7,6,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[2,8,3,1,7,6,5,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[6,7,1,2,8,5,4,3]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,7},{6}}=>[4,3,1]
[8,2,3,1,7,6,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,4,2,7,1,6,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,7,2,1,6,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,7,4,5,8,1,3,2]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,7},{6}}=>[4,3,1]
[8,5,7,1,2,6,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,4,1,7,2,6,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,7,2,8,1,5,4,3]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,7},{6}}=>[5,2,1]
[5,2,7,8,1,6,4,3]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>{{1,2,3,6,8},{4,5},{7}}=>[5,2,1]
[8,3,1,2,7,6,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,2,1,3,7,6,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[2,1,8,3,7,6,5,4]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2},{3,4,5,6,7,8}}=>[6,2]
[5,1,7,8,2,6,4,3]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>{{1,2,3,6,8},{4,5},{7}}=>[5,2,1]
[6,7,1,8,2,5,4,3]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,7},{6}}=>[5,2,1]
[3,8,1,2,7,6,5,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[8,1,4,5,7,6,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,4,5,1,8,7,2,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[7,3,1,5,8,2,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[8,1,3,5,7,2,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,2,5,7,3,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,2,1,5,8,3,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[6,2,5,1,8,3,7,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[4,2,6,1,3,8,7,5]=>[1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0]=>{{1,7,8},{2,5,6},{3,4}}=>[3,3,2]
[8,1,2,4,3,7,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,3,4,2,7,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,6,7,2,3,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,5,2,1,8,3,7,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[8,1,4,2,3,7,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,4,2,3,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>{{1,2,3,4,5},{6,7,8}}=>[5,3]
[8,1,3,2,4,7,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[4,2,6,5,3,8,7,1]=>[1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0]=>{{1,7,8},{2,5,6},{3,4}}=>[3,3,2]
[2,4,3,1,6,8,5,7]=>[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0]=>{{1,3,4},{2},{5,7,8},{6}}=>[3,3,1,1]
[2,4,1,3,6,8,7,5]=>[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0]=>{{1,3,4},{2},{5,7,8},{6}}=>[3,3,1,1]
[6,2,4,8,7,1,3,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[6,2,4,8,7,3,5,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[6,2,4,8,7,3,1,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[8,1,6,3,7,2,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,1,7,3,4,8,2,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>{{1,2,8},{3,4,7},{5,6}}=>[3,3,2]
[2,1,7,4,5,8,3,6]=>[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>{{1,2},{3,4,8},{5,6,7}}=>[3,3,2]
[5,1,4,7,3,8,2,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>{{1,2,8},{3,4,5},{6,7}}=>[3,3,2]
[4,3,1,7,5,8,2,6]=>[1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0]=>{{1,5,8},{2,3,4},{6,7}}=>[3,3,2]
[2,8,6,3,7,1,4,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[6,8,1,3,7,2,4,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[5,8,2,1,7,3,4,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[6,7,1,3,8,2,4,5]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,7},{6}}=>[4,3,1]
[8,5,1,3,7,2,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[4,3,2,8,7,1,5,6]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>{{1,5,6,7,8},{2,3,4}}=>[5,3]
[5,2,4,8,7,1,3,6]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>{{1,2,6,7,8},{3,4,5}}=>[5,3]
[5,1,4,8,7,2,3,6]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>{{1,2,6,7,8},{3,4,5}}=>[5,3]
[3,8,2,1,5,4,7,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[8,3,2,1,5,4,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,3,2,1,6,4,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,4,2,5,1,6,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,3,2,1,4,6,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[3,8,2,1,4,5,7,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[3,2,8,1,4,6,7,5]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,4,5,6,7,8},{2,3}}=>[6,2]
[3,8,2,1,4,7,5,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[3,8,2,1,5,7,4,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[3,2,1,7,5,8,6,4]=>[1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0]=>{{1,2,3},{4,5,8},{6,7}}=>[3,3,2]
[3,8,2,1,7,4,5,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[3,2,8,1,6,4,7,5]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,4,5,6,7,8},{2,3}}=>[6,2]
[5,7,8,3,4,1,2,6]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,6,8},{5},{7}}=>[6,1,1]
[3,2,7,1,8,6,4,5]=>[1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0]=>{{1,4,5,8},{2,3},{6,7}}=>[4,2,2]
[3,1,8,5,4,2,6,7]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,4,5,6,7,8},{2,3}}=>[6,2]
[6,3,7,5,4,8,1,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>{{1,2,8},{3,4,7},{5,6}}=>[3,3,2]
[7,8,3,1,4,2,6,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,8,5,1,6,3,2,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[6,8,1,7,4,3,2,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[7,1,8,6,4,3,2,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,2,1,5,4,6,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[2,8,3,5,4,1,7,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[7,8,1,4,6,3,2,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[5,1,8,7,4,3,2,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[6,5,1,8,4,3,2,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[7,5,8,1,4,3,2,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,8,4,6,1,3,2,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[6,8,5,1,4,3,2,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[5,6,3,2,7,1,8,4]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0]=>{{1,8},{2,7},{3,4,6},{5}}=>[3,2,2,1]
[8,5,6,3,2,7,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,8,4,3,2,1,5,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[5,3,8,2,1,6,4,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[7,3,2,8,5,1,6,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[8,4,6,3,2,1,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,7,3,2,1,6,8,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,6,7},{5}}=>[5,2,1]
[6,2,5,7,8,4,1,3]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6},{7}}=>[4,3,1]
[2,1,5,7,8,6,3,4]=>[1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0]=>{{1,2},{3,4,6,8},{5},{7}}=>[4,2,1,1]
[5,3,8,2,1,4,7,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[8,4,7,3,2,1,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,3,5,2,1,4,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[2,3,6,5,1,4,8,7]=>[1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0]=>{{1,4,5,6},{2},{3},{7,8}}=>[4,2,1,1]
[2,3,6,4,1,5,8,7]=>[1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0]=>{{1,4,5,6},{2},{3},{7,8}}=>[4,2,1,1]
[7,3,5,1,8,4,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[7,3,5,1,8,6,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[2,3,4,8,7,6,1,5]=>[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>{{1,5,6,7,8},{2},{3},{4}}=>[5,1,1,1]
[2,3,4,8,5,7,1,6]=>[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>{{1,5,6,7,8},{2},{3},{4}}=>[5,1,1,1]
[7,3,5,4,8,1,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[6,4,3,5,8,7,2,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[2,1,4,5,8,7,3,6]=>[1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0]=>{{1,2},{3,6,7,8},{4},{5}}=>[4,2,1,1]
[6,4,3,5,8,7,1,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[2,3,4,8,7,5,1,6]=>[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>{{1,5,6,7,8},{2},{3},{4}}=>[5,1,1,1]
[7,3,5,6,8,1,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[6,4,1,5,8,7,2,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[6,4,1,5,8,7,3,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[6,4,1,5,8,3,7,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[6,4,1,5,8,3,2,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[6,3,5,7,8,2,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6},{7}}=>[4,3,1]
[7,3,5,4,8,6,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[2,3,4,8,5,6,1,7]=>[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>{{1,5,6,7,8},{2},{3},{4}}=>[5,1,1,1]
[2,3,4,8,7,1,6,5]=>[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>{{1,5,6,7,8},{2},{3},{4}}=>[5,1,1,1]
[2,3,4,8,5,1,7,6]=>[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>{{1,5,6,7,8},{2},{3},{4}}=>[5,1,1,1]
[7,4,3,5,8,2,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[7,4,3,5,8,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[6,3,5,4,8,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[2,3,4,8,5,1,6,7]=>[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>{{1,5,6,7,8},{2},{3},{4}}=>[5,1,1,1]
[6,1,4,2,8,5,7,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[8,6,5,1,2,4,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,8,5,2,1,4,7,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[3,8,2,5,6,1,7,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[8,1,2,5,6,3,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,1,5,7,2,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[3,8,6,5,7,1,2,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[5,1,7,6,8,4,2,3]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5},{6,7}}=>[4,2,2]
[7,2,5,8,1,6,4,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[3,2,8,5,7,6,1,4]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,4,5,6,7,8},{2,3}}=>[6,2]
[8,2,1,5,7,6,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,2,8,6,1,7,3,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[8,2,5,6,3,7,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,2,6,5,4,1,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[7,5,6,2,4,1,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[8,5,2,6,3,7,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,6,5,7,3,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[3,5,8,6,2,7,1,4]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,4,6,7,8},{3},{5}}=>[6,1,1]
[5,7,6,1,4,2,8,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,6,7},{5}}=>[5,2,1]
[7,1,4,2,6,5,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[5,7,6,4,1,2,8,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,6,7},{5}}=>[5,2,1]
[3,8,1,6,5,7,2,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[8,1,3,5,7,6,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,8,5,4,1,6,2,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,5,6,4,2,1,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[8,3,2,6,5,7,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,4,6,2,5,1,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[7,2,6,4,5,1,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[8,2,3,6,5,7,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[3,8,2,7,6,1,5,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[5,8,7,6,3,4,2,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[5,8,7,6,3,1,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[5,8,7,6,2,4,3,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[5,8,7,6,4,2,1,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[5,8,7,6,4,1,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[5,8,7,6,4,3,1,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[6,8,2,4,5,7,1,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[3,7,8,4,5,2,6,1]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,4,5,6,8},{3},{7}}=>[6,1,1]
[7,8,1,4,5,3,6,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[5,8,1,4,7,6,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[7,5,1,8,6,2,4,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[7,4,1,8,2,6,3,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[7,1,8,4,2,6,3,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,3,1,8,4,2,6,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[7,2,8,3,6,5,1,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,2,8,3,6,1,5,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[6,1,2,8,3,5,4,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[5,2,3,8,1,4,7,6]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>{{1,2,6,7,8},{3,4,5}}=>[5,3]
[6,2,4,1,8,7,3,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[3,1,5,4,8,2,7,6]=>[1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0]=>{{1,6,7,8},{2,3},{4,5}}=>[4,2,2]
[5,3,1,4,8,2,7,6]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>{{1,6,7,8},{2,3,4,5}}=>[4,4]
[5,2,3,8,4,7,1,6]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>{{1,2,6,7,8},{3,4,5}}=>[5,3]
[5,3,8,1,2,4,7,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[5,1,3,8,2,4,7,6]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>{{1,2,6,7,8},{3,4,5}}=>[5,3]
[5,1,4,8,2,7,6,3]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>{{1,2,6,7,8},{3,4,5}}=>[5,3]
[5,4,8,1,2,7,6,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[6,5,1,2,8,7,4,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[7,8,2,1,5,3,6,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,8,1,5,4,2,6,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,8,3,5,4,1,6,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,8,2,5,4,1,3,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,8,2,5,4,6,1,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[3,2,8,5,4,6,1,7]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,4,5,6,7,8},{2,3}}=>[6,2]
[3,7,5,8,2,4,1,6]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,4,5,8},{3},{6,7}}=>[5,2,1]
[5,1,7,8,4,3,2,6]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>{{1,2,3,6,8},{4,5},{7}}=>[5,2,1]
[5,1,2,6,4,3,8,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0]=>{{1,2,6},{3,4,5},{7,8}}=>[3,3,2]
[5,1,7,4,8,2,3,6]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5},{6,7}}=>[4,2,2]
[5,1,8,4,7,2,3,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[7,1,2,3,8,6,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[6,8,1,4,3,7,2,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[8,7,3,2,4,1,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,7,1,4,3,8,2,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>{{1,2,8},{3,4,5,7},{6}}=>[4,3,1]
[8,1,2,3,5,7,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,1,8,5,4,3,2,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,8,2,6,3,4,1,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[6,7,2,8,3,4,1,5]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,7},{6}}=>[5,2,1]
[3,8,7,1,4,2,6,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[3,7,8,1,4,2,6,5]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,4,5,6,8},{3},{7}}=>[6,1,1]
[3,5,7,8,2,4,1,6]=>[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>{{1,2,4,6,8},{3},{5},{7}}=>[5,1,1,1]
[8,6,2,7,3,1,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,7,5,4,3,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,7,4,5,3,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,8,3,7,1,4,2,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[8,7,2,4,3,6,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,1,2,3,5,6,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[6,1,2,3,8,7,4,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[8,6,2,4,3,1,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,3,2,4,7,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,6,2,4,3,1,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[7,8,1,2,6,3,5,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[6,8,1,4,7,2,3,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[6,8,1,2,7,3,5,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[5,8,2,7,6,3,4,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[3,5,8,7,1,4,2,6]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,4,6,7,8},{3},{5}}=>[6,1,1]
[5,3,8,4,1,7,6,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[6,3,1,8,7,2,5,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[5,1,3,8,7,6,2,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>{{1,2,6,7,8},{3,4,5}}=>[5,3]
[5,1,8,4,7,2,6,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[5,8,7,4,6,1,2,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[6,8,5,1,2,4,7,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[4,5,8,1,7,2,6,3]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4},{5}}=>[6,1,1]
[4,3,6,1,2,8,5,7]=>[1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0]=>{{1,7,8},{2,5,6},{3,4}}=>[3,3,2]
[4,5,8,3,1,7,2,6]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4},{5}}=>[6,1,1]
[3,2,5,8,7,1,6,4]=>[1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0]=>{{1,4,6,7,8},{2,3},{5}}=>[5,2,1]
[3,2,5,8,7,4,6,1]=>[1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0]=>{{1,4,6,7,8},{2,3},{5}}=>[5,2,1]
[6,8,1,3,7,5,2,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[8,1,2,6,7,3,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,2,6,7,5,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,2,5,7,1,3,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[2,8,1,6,7,3,5,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[2,8,6,4,7,1,5,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[6,8,3,4,1,7,5,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[6,8,3,7,4,1,5,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[8,2,5,7,1,6,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,4,7,2,3,6,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,7,4,2,6,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,3,5,7,4,1,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,2,4,7,1,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,2,4,7,3,6,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,2,7,1,4,6,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,1,2,4,6,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,1,4,6,2,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,4,7,1,3,6,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,3,5,7,1,2,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,8,7,1,3,6,2,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[8,5,4,7,1,6,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,4,7,1,2,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,1,4,7,2,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,6,3,1,7,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,8,7,3,6,1,2,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[8,3,5,7,1,6,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,4,7,3,1,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,4,5,7,3,1,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,3,4,7,2,6,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,1,3,4,6,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,3,7,2,4,6,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[2,8,4,5,7,1,6,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[8,7,3,4,5,1,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,4,5,2,6,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,2,3,4,6,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,5,1,3,2,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,3,1,7,2,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,3,1,5,2,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,1,2,4,7,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,1,5,3,4,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,1,5,2,4,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,1,2,5,7,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,1,4,2,3,8,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>{{1,2,3,4,5},{6,7,8}}=>[5,3]
[5,7,8,1,2,4,6,3]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,6,8},{5},{7}}=>[6,1,1]
[5,7,8,1,3,4,6,2]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,6,8},{5},{7}}=>[6,1,1]
[5,8,1,7,3,4,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[8,1,5,7,2,4,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,1,2,8,7,5,3,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[6,1,2,4,8,7,5,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[3,1,8,4,6,7,5,2]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,4,5,6,7,8},{2,3}}=>[6,2]
[3,1,7,6,4,8,5,2]=>[1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0]=>{{1,4,8},{2,3},{5,6,7}}=>[3,3,2]
[7,1,2,6,8,5,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[8,1,7,5,3,2,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,3,7,1,2,6,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,8,1,7,2,4,6,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[5,8,1,3,4,7,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[3,1,8,6,4,7,5,2]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,4,5,6,7,8},{2,3}}=>[6,2]
[8,1,2,6,7,4,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,1,2,8,3,6,5,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[7,1,2,8,6,4,5,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[3,1,7,8,4,6,5,2]=>[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]=>{{1,4,5,6,8},{2,3},{7}}=>[5,2,1]
[8,1,2,7,4,6,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,2,7,3,6,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[3,6,2,5,4,1,8,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]=>{{1,2,4,5,6},{3},{7,8}}=>[5,2,1]
[5,4,8,3,2,7,6,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[5,3,2,6,4,1,8,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0]=>{{1,2,6},{3,4,5},{7,8}}=>[3,3,2]
[4,5,8,3,2,7,6,1]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4},{5}}=>[6,1,1]
[5,3,2,8,4,7,6,1]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>{{1,2,6,7,8},{3,4,5}}=>[5,3]
[2,1,5,8,4,7,6,3]=>[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>{{1,2},{3,4,6,7,8},{5}}=>[5,2,1]
[5,3,2,7,4,8,6,1]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>{{1,2,8},{3,4,5},{6,7}}=>[3,3,2]
[7,6,4,3,8,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[8,3,2,6,7,5,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,4,3,7,5,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,4,5,3,2,7,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,4,6,3,7,5,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,4,6,3,8,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[3,8,2,6,7,5,4,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[3,7,2,8,6,5,4,1]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,4,5,8},{3},{6,7}}=>[5,2,1]
[2,1,7,5,4,8,6,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>{{1,2},{3,4,8},{5,6,7}}=>[3,3,2]
[7,3,2,8,6,5,4,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[7,8,4,3,6,5,2,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[6,3,2,8,7,5,4,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[6,3,2,7,8,5,4,1]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6},{7}}=>[4,3,1]
[8,6,1,4,2,7,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,1,6,4,3,5,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[8,1,6,4,2,7,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,4,1,3,8,2,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[8,7,1,3,6,2,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,1,4,3,8,2,5,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[8,1,4,3,7,2,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[4,2,3,7,8,6,1,5]=>[1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]=>{{1,5,6,8},{2,3,4},{7}}=>[4,3,1]
[7,2,5,6,8,4,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[5,2,3,8,7,6,1,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>{{1,2,6,7,8},{3,4,5}}=>[5,3]
[8,2,3,7,5,6,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[3,7,5,8,6,2,1,4]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,4,5,8},{3},{6,7}}=>[5,2,1]
[3,7,8,6,5,2,1,4]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,4,5,6,8},{3},{7}}=>[6,1,1]
[6,8,7,5,3,2,1,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[3,7,6,8,4,5,1,2]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,4,5,8},{3},{6,7}}=>[5,2,1]
[3,8,4,6,5,7,1,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[7,8,1,5,4,6,2,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,8,5,6,1,3,2,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[5,8,6,7,1,3,2,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[1,3,2,8,6,7,4,5]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>{{1},{2,3},{4,5,6,7,8}}=>[5,2,1]
[7,8,1,3,2,6,4,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,8,1,6,2,4,3,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,8,1,4,2,6,3,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[8,4,7,5,2,6,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[2,8,6,7,4,3,5,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[3,8,7,1,4,6,5,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[5,7,1,2,4,3,8,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,6,7},{5}}=>[5,2,1]
[7,4,8,6,5,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,1,8,2,5,4,3,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[8,4,7,1,2,5,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,4,1,5,8,2,7,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[8,3,5,6,7,4,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,4,3,2,8,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[7,4,8,6,5,2,3,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[8,1,6,4,7,3,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,6,4,1,2,3,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[6,1,4,8,7,3,5,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[8,7,3,4,1,5,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[3,1,8,7,2,5,6,4]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,4,5,6,7,8},{2,3}}=>[6,2]
[8,2,3,7,1,5,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,8,2,4,3,5,6,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[2,8,3,7,1,5,6,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[5,3,8,6,2,1,4,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[6,8,5,2,7,4,3,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[6,8,1,2,4,5,3,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[8,3,6,1,4,5,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,8,4,3,7,6,1,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[8,7,4,3,1,6,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[2,8,6,1,7,4,5,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[8,5,4,3,1,6,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[2,1,8,3,5,6,7,4]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2},{3,4,5,6,7,8}}=>[6,2]
[3,8,4,1,2,6,7,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[5,8,3,6,7,4,1,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[8,4,1,3,6,2,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,8,5,1,7,2,3,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[7,3,6,5,8,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[7,6,3,5,8,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[4,5,8,7,3,6,1,2]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4},{5}}=>[6,1,1]
[8,6,5,4,1,2,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,1,5,3,8,7,2,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[2,8,6,3,7,1,5,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[7,6,1,5,8,2,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[6,5,2,4,8,1,7,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[5,1,4,8,2,6,7,3]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>{{1,2,6,7,8},{3,4,5}}=>[5,3]
[4,2,1,8,5,6,7,3]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>{{1,5,6,7,8},{2,3,4}}=>[5,3]
[7,2,1,5,8,6,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[2,8,4,5,1,6,7,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[5,4,8,3,7,6,1,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[3,1,5,8,6,2,7,4]=>[1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0]=>{{1,4,6,7,8},{2,3},{5}}=>[5,2,1]
[6,3,4,8,5,1,7,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[5,3,4,8,1,6,7,2]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>{{1,2,6,7,8},{3,4,5}}=>[5,3]
[6,5,4,8,7,1,3,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[6,5,4,8,1,2,7,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[7,5,1,6,8,2,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[6,5,4,1,8,2,7,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[6,5,4,7,8,1,3,2]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6},{7}}=>[4,3,1]
[7,5,1,4,8,3,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[8,1,6,4,7,3,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,5,1,4,8,3,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[8,1,5,4,3,7,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,5,4,3,7,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,5,3,8,1,4,2,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[8,1,7,2,5,4,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,6,1,2,5,4,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[6,5,3,8,1,4,7,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[8,1,6,4,2,5,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,5,4,3,2,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,4,1,5,3,2,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[6,4,3,1,5,2,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>{{1,2,3,4,5,6},{7,8}}=>[6,2]
[7,1,5,8,4,6,2,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[8,6,7,1,4,2,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,3,7,5,1,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,1,7,3,2,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,6,1,8,3,5,2,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[7,6,1,3,8,5,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[7,6,8,2,4,5,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,6,2,8,3,5,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[8,7,1,5,2,6,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,1,5,2,3,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,2,3,1,7,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,2,3,7,1,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,2,7,3,1,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,7,2,4,1,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,8,7,3,4,1,5,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[8,7,2,5,1,6,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,2,1,4,6,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,4,2,1,7,6,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,2,7,1,6,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,7,2,1,4,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,8,7,3,1,4,2,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[8,5,7,2,1,4,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,2,7,1,3,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,4,1,2,3,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,4,1,2,6,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,4,3,1,7,2,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,4,3,1,2,7,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,1,3,7,2,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,1,3,2,7,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,7,4,1,6,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,7,4,1,2,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,5,4,2,7,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,6,4,7,2,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,1,5,8,4,2,7,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[5,8,3,6,4,1,2,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[8,4,7,5,1,6,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,4,7,5,1,2,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,4,7,5,1,2,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,3,2,6,5,1,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,4,7,2,1,5,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,3,2,7,1,5,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,3,2,1,7,6,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,3,1,6,2,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,3,1,2,4,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,3,2,1,7,4,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,4,7,2,1,5,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,2,1,3,6,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,2,1,3,4,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[1,3,2,8,4,6,7,5]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>{{1},{2,3},{4,5,6,7,8}}=>[5,2,1]
[6,8,3,1,5,2,7,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[6,8,4,5,1,2,7,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[5,8,6,4,1,7,2,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[4,5,8,6,7,1,2,3]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4},{5}}=>[6,1,1]
[5,2,1,7,6,8,3,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>{{1,2,8},{3,4,5},{6,7}}=>[3,3,2]
[5,8,3,1,6,7,2,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[5,8,3,1,7,6,2,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[5,4,7,8,1,6,2,3]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>{{1,2,3,6,8},{4,5},{7}}=>[5,2,1]
[5,3,7,1,8,6,2,4]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5},{6,7}}=>[4,2,2]
[5,3,8,1,7,6,2,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[5,4,8,7,1,6,2,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[8,3,2,6,4,1,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,1,8,4,2,3,5,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[4,2,6,3,1,8,5,7]=>[1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0]=>{{1,7,8},{2,5,6},{3,4}}=>[3,3,2]
[5,4,2,8,3,1,6,7]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>{{1,2,6,7,8},{3,4,5}}=>[5,3]
[4,2,1,8,3,7,5,6]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>{{1,5,6,7,8},{2,3,4}}=>[5,3]
[8,3,2,1,7,4,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[3,8,5,7,1,2,6,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[3,8,5,7,2,6,4,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[2,8,1,7,5,6,4,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[3,8,5,7,1,6,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[3,8,5,7,2,1,6,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[5,8,6,7,3,4,2,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[5,8,6,7,2,1,3,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[4,3,2,8,5,1,7,6]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>{{1,5,6,7,8},{2,3,4}}=>[5,3]
[5,8,6,7,2,3,4,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[5,8,6,7,2,4,3,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[5,8,6,7,1,2,4,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[3,8,4,7,1,5,2,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[3,8,4,7,2,5,1,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[4,1,3,8,5,2,6,7]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>{{1,5,6,7,8},{2,3,4}}=>[5,3]
[5,8,6,7,3,2,4,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[5,8,6,7,4,2,3,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[5,8,6,7,4,1,2,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[5,8,6,7,4,1,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[5,8,6,7,3,1,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[5,8,6,7,4,2,1,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[5,8,6,7,4,3,1,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[6,1,5,2,8,4,7,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[7,3,5,8,6,1,2,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[6,8,1,5,7,2,3,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[7,1,2,5,8,6,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[7,6,8,1,2,3,5,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,3,5,8,6,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[7,6,8,2,1,3,5,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[3,7,6,8,2,1,5,4]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,4,5,8},{3},{6,7}}=>[5,2,1]
[6,7,4,1,8,5,3,2]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,7},{6}}=>[4,3,1]
[6,7,4,3,1,8,5,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>{{1,2,8},{3,4,5,7},{6}}=>[4,3,1]
[3,1,7,6,8,2,5,4]=>[1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0]=>{{1,4,5,8},{2,3},{6,7}}=>[4,2,2]
[7,1,4,2,8,5,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[7,1,8,2,5,4,6,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,1,6,8,5,4,2,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[7,1,2,6,8,5,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[7,6,8,3,1,2,5,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,1,5,8,6,3,2,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[7,2,6,8,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[7,6,8,2,3,1,5,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[6,7,3,1,8,5,4,2]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,7},{6}}=>[4,3,1]
[6,7,1,8,5,4,3,2]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,7},{6}}=>[5,2,1]
[7,2,1,6,8,5,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[7,8,4,2,1,6,5,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[6,2,3,4,8,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[7,8,3,6,4,2,1,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,8,3,5,6,2,1,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[6,3,2,5,8,7,1,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[6,3,2,8,4,7,1,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[6,4,3,8,7,5,1,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[6,4,3,7,8,5,1,2]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6},{7}}=>[4,3,1]
[6,3,2,7,4,8,1,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>{{1,2,8},{3,7},{4,5,6}}=>[3,3,2]
[5,8,2,3,6,1,7,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[5,6,1,4,2,3,8,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>{{1,2,3,4,6},{5},{7,8}}=>[5,2,1]
[5,2,8,3,4,1,7,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[4,5,8,6,3,2,1,7]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4},{5}}=>[6,1,1]
[5,1,4,3,8,2,7,6]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>{{1,6,7,8},{2,3,4,5}}=>[4,4]
[6,1,4,2,8,7,5,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[5,8,2,4,1,7,6,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[5,8,1,4,2,3,7,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[5,4,7,8,3,2,1,6]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>{{1,2,3,6,8},{4,5},{7}}=>[5,2,1]
[5,1,8,4,2,3,6,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[5,8,1,3,4,2,6,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[5,8,1,4,7,2,6,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[6,8,1,2,4,3,5,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[5,8,7,1,3,4,2,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[5,8,4,7,3,1,2,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[4,1,3,8,2,6,5,7]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>{{1,5,6,7,8},{2,3,4}}=>[5,3]
[3,4,2,1,8,6,5,7]=>[1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]=>{{1,2,4},{3},{5,6,7,8}}=>[4,3,1]
[4,1,2,8,3,6,5,7]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>{{1,5,6,7,8},{2,3,4}}=>[5,3]
[4,2,3,1,8,6,5,7]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>{{1,2,3,4},{5,6,7,8}}=>[4,4]
[3,7,8,2,6,4,5,1]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,4,5,6,8},{3},{7}}=>[6,1,1]
[4,2,3,8,1,6,5,7]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>{{1,5,6,7,8},{2,3,4}}=>[5,3]
[4,3,1,8,2,6,5,7]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>{{1,5,6,7,8},{2,3,4}}=>[5,3]
[7,3,6,8,4,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[7,3,8,2,6,4,5,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,4,1,8,5,2,6,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[7,3,2,8,4,6,5,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[3,1,4,2,8,6,5,7]=>[1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0]=>{{1,4},{2,3},{5,6,7,8}}=>[4,2,2]
[7,3,4,8,5,1,6,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[3,7,4,8,5,1,2,6]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,4,5,8},{3},{6,7}}=>[5,2,1]
[6,7,2,8,3,5,4,1]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,7},{6}}=>[5,2,1]
[3,5,7,8,6,1,2,4]=>[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>{{1,2,4,6,8},{3},{5},{7}}=>[5,1,1,1]
[6,1,7,5,2,8,3,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>{{1,2,8},{3,4,7},{5,6}}=>[3,3,2]
[3,5,7,8,6,2,1,4]=>[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>{{1,2,4,6,8},{3},{5},{7}}=>[5,1,1,1]
[3,2,5,7,8,6,1,4]=>[1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0]=>{{1,4,6,8},{2,3},{5},{7}}=>[4,2,1,1]
[6,2,7,5,1,8,3,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>{{1,2,8},{3,4,7},{5,6}}=>[3,3,2]
[6,7,2,5,3,8,1,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>{{1,2,8},{3,4,5,7},{6}}=>[4,3,1]
[5,1,7,8,6,3,2,4]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>{{1,2,3,6,8},{4,5},{7}}=>[5,2,1]
[5,7,8,6,4,1,2,3]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,6,8},{5},{7}}=>[6,1,1]
[6,3,1,7,5,8,2,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>{{1,2,8},{3,7},{4,5,6}}=>[3,3,2]
[6,3,2,7,5,8,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>{{1,2,8},{3,7},{4,5,6}}=>[3,3,2]
[6,2,3,7,5,8,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>{{1,2,8},{3,7},{4,5,6}}=>[3,3,2]
[8,3,4,6,2,1,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,5,3,2,8,4,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[7,5,3,2,8,4,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[6,4,7,3,2,8,5,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>{{1,2,8},{3,4,7},{5,6}}=>[3,3,2]
[5,1,7,3,8,4,2,6]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5},{6,7}}=>[4,2,2]
[6,7,2,4,1,8,5,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>{{1,2,8},{3,4,5,7},{6}}=>[4,3,1]
[6,3,7,2,8,4,1,5]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,7},{5,6}}=>[4,2,2]
[6,3,2,7,1,8,4,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>{{1,2,8},{3,7},{4,5,6}}=>[3,3,2]
[7,3,8,4,2,1,5,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[6,7,2,1,3,8,5,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>{{1,2,8},{3,4,5,7},{6}}=>[4,3,1]
[6,3,7,1,8,5,2,4]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,7},{5,6}}=>[4,2,2]
[6,2,1,7,3,8,5,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>{{1,2,8},{3,7},{4,5,6}}=>[3,3,2]
[6,2,7,1,8,5,4,3]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,7},{5,6}}=>[4,2,2]
[6,3,1,7,8,5,4,2]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6},{7}}=>[4,3,1]
[5,3,2,1,8,4,7,6]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>{{1,6,7,8},{2,3,4,5}}=>[4,4]
[2,8,4,1,7,6,3,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[8,2,1,7,5,3,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,8,7,4,6,2,1,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[3,7,4,8,2,1,6,5]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,4,5,8},{3},{6,7}}=>[5,2,1]
[7,2,4,8,5,3,1,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[8,4,2,3,7,1,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,8,7,3,4,6,2,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[5,8,2,7,4,1,6,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[5,1,4,2,8,7,6,3]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>{{1,6,7,8},{2,3,4,5}}=>[4,4]
[6,3,2,1,8,5,7,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[3,8,4,1,5,6,7,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[5,2,4,7,1,8,6,3]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>{{1,2,8},{3,4,5},{6,7}}=>[3,3,2]
[8,1,3,6,5,2,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,3,2,4,6,5,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,3,6,4,1,5,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,8,4,7,6,2,3,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[2,8,5,1,4,7,6,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[6,8,4,3,2,7,1,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[5,1,3,2,8,6,7,4]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>{{1,6,7,8},{2,3,4,5}}=>[4,4]
[5,3,1,2,8,6,7,4]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>{{1,6,7,8},{2,3,4,5}}=>[4,4]
[5,3,2,1,8,6,7,4]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>{{1,6,7,8},{2,3,4,5}}=>[4,4]
[5,4,7,8,3,6,2,1]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>{{1,2,3,6,8},{4,5},{7}}=>[5,2,1]
[8,4,7,2,3,1,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,4,1,3,2,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,1,3,8,5,7,2,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[2,8,1,5,4,7,6,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[5,8,2,6,1,3,7,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[6,3,5,8,7,2,1,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[5,8,6,2,1,3,7,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[5,1,3,6,4,8,7,2]=>[1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0]=>{{1,7,8},{2,6},{3,4,5}}=>[3,3,2]
[1,3,2,8,5,7,4,6]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>{{1},{2,3},{4,5,6,7,8}}=>[5,2,1]
[2,8,3,5,1,4,7,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[5,1,2,4,8,7,6,3]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>{{1,6,7,8},{2,3,4,5}}=>[4,4]
[2,1,5,3,8,6,4,7]=>[1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0]=>{{1,2},{3,6,7,8},{4,5}}=>[4,2,2]
[5,1,2,4,8,6,3,7]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>{{1,6,7,8},{2,3,4,5}}=>[4,4]
[5,1,4,2,8,6,7,3]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>{{1,6,7,8},{2,3,4,5}}=>[4,4]
[6,8,1,3,2,5,4,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[6,8,1,4,2,5,3,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[7,8,3,6,1,4,2,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,8,2,5,1,4,3,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,8,1,4,3,6,2,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[5,8,1,4,3,7,2,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[6,8,2,5,1,4,3,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[6,8,2,5,3,7,1,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[5,8,2,6,4,7,1,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[6,8,3,7,1,4,2,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[5,8,1,3,2,6,4,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[5,8,4,7,1,3,2,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[6,8,4,7,1,3,2,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[6,8,5,7,1,3,2,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[3,7,6,8,1,4,2,5]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,4,5,8},{3},{6,7}}=>[5,2,1]
[3,7,4,8,2,6,1,5]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,4,5,8},{3},{6,7}}=>[5,2,1]
[7,6,4,8,5,2,3,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[6,7,3,5,4,8,2,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>{{1,2,8},{3,4,5,7},{6}}=>[4,3,1]
[6,8,3,7,5,2,4,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[7,6,3,5,8,2,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[7,6,2,8,4,1,5,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[7,6,3,4,8,2,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[6,8,3,7,4,5,2,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[6,7,3,5,8,4,2,1]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,7},{6}}=>[4,3,1]
[5,7,8,3,6,2,1,4]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,6,8},{5},{7}}=>[6,1,1]
[6,3,4,8,7,2,5,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[6,3,4,7,5,8,2,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>{{1,2,8},{3,7},{4,5,6}}=>[3,3,2]
[6,3,5,7,8,4,2,1]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6},{7}}=>[4,3,1]
[5,3,8,2,4,1,6,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[5,3,4,8,2,6,1,7]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>{{1,2,6,7,8},{3,4,5}}=>[5,3]
[5,8,3,7,2,6,4,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[5,8,4,2,3,1,6,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[5,8,4,2,3,1,7,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[6,4,3,7,8,5,2,1]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6},{7}}=>[4,3,1]
[5,6,3,7,1,8,2,4]=>[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>{{1,2,8},{3,7},{4,6},{5}}=>[3,2,2,1]
[6,3,5,7,4,8,2,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>{{1,2,8},{3,7},{4,5,6}}=>[3,3,2]
[4,5,8,3,7,2,6,1]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4},{5}}=>[6,1,1]
[7,1,5,8,4,2,3,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[8,1,5,7,4,2,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,1,4,5,8,2,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[8,4,1,7,2,6,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,4,7,5,2,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,5,4,7,2,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[2,1,7,5,8,3,4,6]=>[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>{{1,2},{3,4,5,8},{6,7}}=>[4,2,2]
[7,1,5,4,8,2,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[7,1,4,8,5,2,3,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[7,8,3,1,2,4,6,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[8,7,1,6,4,2,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,1,7,4,2,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,6,1,8,4,2,3,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[7,3,8,1,2,4,6,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[8,3,7,1,2,4,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,3,6,1,2,4,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,3,7,5,1,2,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,3,6,1,2,4,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[6,7,1,8,4,2,3,5]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,7},{6}}=>[5,2,1]
[6,8,1,7,4,2,3,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[7,1,8,4,5,2,3,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,6,3,1,2,4,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[6,1,2,3,8,7,5,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[6,8,3,1,2,7,4,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[6,7,3,1,2,8,4,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>{{1,2,8},{3,4,5,7},{6}}=>[4,3,1]
[3,2,8,5,4,1,7,6]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,4,5,6,7,8},{2,3}}=>[6,2]
[7,8,2,1,4,6,3,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[3,1,7,5,4,8,6,2]=>[1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0]=>{{1,4,8},{2,3},{5,6,7}}=>[3,3,2]
[3,1,5,4,8,7,6,2]=>[1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0]=>{{1,6,7,8},{2,3},{4,5}}=>[4,2,2]
[3,1,7,6,8,5,4,2]=>[1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0]=>{{1,4,5,8},{2,3},{6,7}}=>[4,2,2]
[3,2,7,4,6,8,1,5]=>[1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0]=>{{1,4,8},{2,3},{5,6,7}}=>[3,3,2]
[5,3,1,2,8,4,7,6]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>{{1,6,7,8},{2,3,4,5}}=>[4,4]
[5,2,1,8,3,4,6,7]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>{{1,2,6,7,8},{3,4,5}}=>[5,3]
[6,3,2,8,4,5,7,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[7,3,1,2,8,4,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[6,2,3,1,8,4,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[8,3,5,2,7,1,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,2,4,7,1,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,2,1,7,3,4,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,3,7,2,4,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,2,7,3,4,5,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,6,2,3,4,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,7,3,4,5,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,1,7,2,4,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,2,1,8,3,4,5,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[6,4,5,8,7,1,2,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[5,3,4,8,7,1,2,6]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>{{1,2,6,7,8},{3,4,5}}=>[5,3]
[3,2,8,7,1,4,6,5]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,4,5,6,7,8},{2,3}}=>[6,2]
[3,1,8,7,2,4,6,5]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,4,5,6,7,8},{2,3}}=>[6,2]
[3,8,1,7,2,4,5,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[6,8,2,3,5,1,4,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[3,8,7,1,4,5,6,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[2,8,6,1,3,4,5,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[2,8,7,3,4,5,6,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[3,8,7,2,4,5,6,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[7,8,3,6,2,4,5,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[8,6,2,5,4,1,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[2,8,3,6,1,7,5,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[8,7,2,5,1,6,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[3,8,2,6,5,1,7,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[7,8,2,5,4,1,6,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[8,1,3,6,2,7,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,1,8,2,6,5,4,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[8,3,7,5,1,6,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,4,6,7,1,5,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,6,1,2,8,5,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[8,6,1,2,7,5,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,1,2,6,5,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,8,1,2,6,5,4,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[3,8,1,6,2,7,5,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[7,4,8,1,5,2,3,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,4,8,2,1,3,5,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,5,4,8,2,3,6,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[3,1,7,2,6,8,4,5]=>[1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0]=>{{1,4,8},{2,3},{5,6,7}}=>[3,3,2]
[5,1,7,4,2,6,8,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>{{1,8},{2,3,6,7},{4,5}}=>[4,2,2]
[6,5,1,7,3,8,2,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>{{1,2,8},{3,7},{4,5,6}}=>[3,3,2]
[6,3,2,8,5,7,1,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[5,4,8,2,1,7,3,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[7,2,8,6,3,1,4,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[2,1,7,8,3,6,4,5]=>[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>{{1,2},{3,4,5,6,8},{7}}=>[5,2,1]
[5,4,2,7,3,8,1,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>{{1,2,8},{3,4,5},{6,7}}=>[3,3,2]
[6,3,1,7,8,5,2,4]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6},{7}}=>[4,3,1]
[5,4,2,6,3,8,7,1]=>[1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0]=>{{1,7,8},{2,6},{3,4,5}}=>[3,3,2]
[7,8,2,4,5,1,3,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,8,1,3,2,4,5,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,8,4,1,5,2,3,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[6,3,7,4,5,8,1,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>{{1,2,8},{3,4,7},{5,6}}=>[3,3,2]
[5,6,1,4,7,3,8,2]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0]=>{{1,8},{2,7},{3,4,6},{5}}=>[3,2,2,1]
[6,3,4,5,8,1,7,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[5,6,1,2,7,4,8,3]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0]=>{{1,8},{2,7},{3,4,6},{5}}=>[3,2,2,1]
[7,3,4,5,8,1,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[6,3,4,5,8,1,2,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[7,3,4,5,8,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[2,1,8,6,3,5,4,7]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2},{3,4,5,6,7,8}}=>[6,2]
[4,2,1,8,3,6,7,5]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>{{1,5,6,7,8},{2,3,4}}=>[5,3]
[2,1,6,8,3,7,4,5]=>[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]=>{{1,2},{3,4,5,7,8},{6}}=>[5,2,1]
[8,2,4,1,7,5,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,2,1,7,8,3,5,4]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6},{7}}=>[4,3,1]
[2,1,8,3,7,4,5,6]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2},{3,4,5,6,7,8}}=>[6,2]
[3,8,1,5,7,2,4,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[6,1,5,8,2,4,7,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[4,1,2,7,8,3,6,5]=>[1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]=>{{1,5,6,8},{2,3,4},{7}}=>[4,3,1]
[5,3,8,4,7,6,1,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[8,7,1,2,5,4,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,8,1,2,3,7,6,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[6,1,2,8,7,4,5,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[7,1,6,2,8,4,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[3,1,7,8,6,2,4,5]=>[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]=>{{1,4,5,6,8},{2,3},{7}}=>[5,2,1]
[1,3,2,8,7,4,5,6]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>{{1},{2,3},{4,5,6,7,8}}=>[5,2,1]
[8,5,1,7,2,4,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[3,8,6,4,7,5,1,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[3,7,4,8,6,5,1,2]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,4,5,8},{3},{6,7}}=>[5,2,1]
[7,4,6,3,8,5,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[8,4,6,2,7,5,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,5,6,8,2,4,1,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[7,4,6,2,8,5,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[3,5,7,8,2,1,4,6]=>[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>{{1,2,4,6,8},{3},{5},{7}}=>[5,1,1,1]
[6,4,7,3,8,1,5,2]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,7},{5,6}}=>[4,2,2]
[6,4,7,3,8,1,2,5]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,7},{5,6}}=>[4,2,2]
[7,4,6,3,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[5,4,7,3,8,1,6,2]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5},{6,7}}=>[4,2,2]
[5,4,7,2,8,1,3,6]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5},{6,7}}=>[4,2,2]
[4,3,2,7,8,1,6,5]=>[1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]=>{{1,5,6,8},{2,3,4},{7}}=>[4,3,1]
[3,5,7,8,2,1,6,4]=>[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>{{1,2,4,6,8},{3},{5},{7}}=>[5,1,1,1]
[4,5,8,3,6,7,1,2]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4},{5}}=>[6,1,1]
[4,5,8,3,7,6,1,2]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4},{5}}=>[6,1,1]
[7,2,3,4,8,1,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[7,6,3,4,8,5,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[7,6,3,5,8,4,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[7,6,3,8,4,5,1,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[7,2,3,8,5,1,4,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[7,2,3,8,4,1,5,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[7,8,2,3,6,1,4,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,2,3,5,8,1,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[7,2,3,8,4,1,6,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[7,6,5,1,2,3,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[7,6,5,1,4,2,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[7,8,5,4,1,2,6,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[3,5,6,4,1,2,8,7]=>[1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0]=>{{1,2,4,6},{3},{5},{7,8}}=>[4,2,1,1]
[7,6,5,1,2,4,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[3,5,8,4,1,2,7,6]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,4,6,7,8},{3},{5}}=>[6,1,1]
[3,5,8,4,1,2,6,7]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,4,6,7,8},{3},{5}}=>[6,1,1]
[3,5,8,4,1,6,2,7]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,4,6,7,8},{3},{5}}=>[6,1,1]
[7,6,5,1,4,3,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[7,6,5,1,8,2,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[7,6,5,1,8,2,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[7,6,5,1,8,3,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[7,6,5,1,8,3,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[7,6,5,1,8,4,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[7,6,4,8,3,1,5,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[7,4,8,5,6,1,3,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[6,7,4,8,2,1,5,3]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,7},{6}}=>[5,2,1]
[3,2,7,8,6,1,5,4]=>[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]=>{{1,4,5,6,8},{2,3},{7}}=>[5,2,1]
[6,8,4,1,2,3,7,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[3,8,1,5,2,7,6,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[8,2,1,5,3,7,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,6,5,3,7,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,1,4,6,3,2,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[7,6,4,3,1,2,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[8,6,3,5,1,7,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,2,7,5,6,1,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,6,4,2,1,5,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[5,7,4,6,1,3,8,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,6,7},{5}}=>[5,2,1]
[8,6,4,7,3,1,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,4,1,3,5,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,5,4,1,2,6,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[3,8,1,5,6,4,2,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[7,6,4,1,5,2,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[8,6,1,5,4,7,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,4,1,5,3,7,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,5,4,1,3,2,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[3,8,1,7,5,6,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[8,2,5,7,3,6,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,2,6,7,5,3,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,8,1,4,6,3,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[3,5,8,4,6,7,2,1]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,4,6,7,8},{3},{5}}=>[6,1,1]
[3,7,8,4,5,6,2,1]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,4,5,6,8},{3},{7}}=>[6,1,1]
[3,8,1,5,4,6,7,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[5,7,1,4,6,3,8,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,6,7},{5}}=>[5,2,1]
[5,4,7,2,8,3,1,6]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5},{6,7}}=>[4,2,2]
[5,4,7,2,8,3,6,1]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5},{6,7}}=>[4,2,2]
[5,8,1,4,6,3,2,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[3,8,1,5,4,6,2,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[6,8,3,1,4,2,5,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[7,3,8,1,4,2,5,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,8,1,4,5,3,2,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[3,8,1,5,4,7,2,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[6,8,3,1,4,2,7,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[7,8,3,1,4,6,2,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,8,4,2,6,5,1,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,8,3,1,4,6,5,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[3,8,1,5,4,2,7,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[5,8,1,4,7,3,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[6,3,7,1,4,8,5,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>{{1,2,8},{3,4,7},{5,6}}=>[3,3,2]
[7,3,8,1,4,5,2,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[6,8,3,1,4,5,2,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[3,8,1,5,4,2,6,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[5,4,8,6,2,1,3,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[5,7,8,6,2,3,4,1]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,6,8},{5},{7}}=>[6,1,1]
[7,3,5,8,4,1,2,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[7,3,5,8,4,1,6,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[7,3,5,8,4,6,2,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[6,3,5,8,4,2,7,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[7,4,8,5,3,2,6,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[3,2,8,6,1,5,4,7]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,4,5,6,7,8},{2,3}}=>[6,2]
[8,7,3,6,4,2,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[3,8,7,2,5,4,6,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[8,7,2,4,5,6,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,1,8,6,2,3,4,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[8,2,3,6,1,4,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,2,1,3,5,7,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,3,8,5,4,1,2,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,2,3,6,1,4,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[7,4,8,1,3,6,2,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[8,6,1,4,7,3,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,5,4,8,1,3,2,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[8,5,4,7,1,3,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,1,7,6,3,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[3,2,8,4,7,5,1,6]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,4,5,6,7,8},{2,3}}=>[6,2]
[8,4,7,5,1,3,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,8,3,1,7,2,4,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[6,8,4,2,5,1,7,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[8,3,1,4,7,2,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,3,2,1,5,7,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[2,8,3,6,4,7,1,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[7,3,6,4,8,1,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[8,3,6,4,7,1,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[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]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[7,3,8,1,6,5,2,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[8,3,7,1,6,5,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[2,8,1,7,6,5,3,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[8,6,4,7,1,5,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,6,4,8,1,5,2,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[5,1,6,4,2,3,8,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]=>{{1,2,3,6},{4,5},{7,8}}=>[4,2,2]
[4,2,3,8,7,5,1,6]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>{{1,5,6,7,8},{2,3,4}}=>[5,3]
[3,8,7,1,6,5,2,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[4,2,3,7,8,5,1,6]=>[1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]=>{{1,5,6,8},{2,3,4},{7}}=>[4,3,1]
[8,7,4,6,1,5,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,8,7,6,1,4,2,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[8,6,5,7,1,4,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,7,4,8,1,5,2,3]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,7},{6}}=>[5,2,1]
[8,4,7,6,1,5,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,3,2,4,7,1,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,3,2,4,8,1,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[8,4,6,7,1,5,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,6,7,1,4,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,7,5,1,4,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,8,7,5,1,4,2,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[7,8,6,5,1,4,2,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[2,1,8,5,4,6,3,7]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2},{3,4,5,6,7,8}}=>[6,2]
[8,4,1,2,6,3,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,2,7,1,5,3,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[3,2,7,1,5,8,4,6]=>[1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0]=>{{1,4,8},{2,3},{5,6,7}}=>[3,3,2]
[7,3,8,1,5,4,2,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,1,5,3,8,4,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[6,8,3,1,5,4,2,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[8,6,2,1,5,3,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,1,3,2,8,6,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[8,7,2,1,4,5,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,7,8,6,1,4,3,2]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,6,8},{5},{7}}=>[6,1,1]
[6,2,4,1,8,5,3,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[8,3,1,4,5,6,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,3,1,4,8,6,7,2]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>{{1,6,7,8},{2,3,4,5}}=>[4,4]
[7,5,1,6,3,4,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[7,1,5,8,4,3,6,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[5,8,1,6,4,3,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[5,3,1,8,4,6,7,2]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>{{1,2,6,7,8},{3,4,5}}=>[5,3]
[8,3,1,5,4,6,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,2,6,1,4,5,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[2,8,6,1,5,3,4,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[7,1,2,5,8,3,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[7,8,6,5,1,4,3,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[5,3,1,2,4,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>{{1,2,3,4,5},{6,7,8}}=>[5,3]
[5,3,7,2,8,4,1,6]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5},{6,7}}=>[4,2,2]
[7,2,4,5,8,3,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[8,7,4,5,2,1,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,3,7,1,8,4,2,5]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,7},{5,6}}=>[4,2,2]
[5,8,4,3,6,1,2,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[5,3,8,4,1,7,2,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[3,8,4,2,6,1,5,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[3,8,1,5,6,7,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[3,8,2,5,6,7,1,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[8,2,1,5,6,7,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,3,5,6,7,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,8,4,3,6,2,1,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[4,3,1,8,5,7,6,2]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>{{1,5,6,7,8},{2,3,4}}=>[5,3]
[6,3,5,8,2,7,1,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[7,5,4,8,6,2,1,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[7,1,4,8,6,2,3,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[8,3,5,2,1,7,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,2,4,3,8,7,5,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[5,2,7,1,3,4,8,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>{{1,8},{2,3,6,7},{4,5}}=>[4,2,2]
[6,8,2,1,3,4,5,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[3,7,1,8,4,5,2,6]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,4,5,8},{3},{6,7}}=>[5,2,1]
[7,4,3,5,8,6,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[7,4,3,5,8,6,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[4,2,1,7,3,8,6,5]=>[1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0]=>{{1,5,8},{2,3,4},{6,7}}=>[3,3,2]
[4,2,1,3,7,8,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0]=>{{1,2,3,4},{5,6,8},{7}}=>[4,3,1]
[5,8,1,7,4,3,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[5,8,1,7,4,3,2,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[3,7,8,6,2,1,4,5]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,4,5,6,8},{3},{7}}=>[6,1,1]
[4,2,1,8,3,5,6,7]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>{{1,5,6,7,8},{2,3,4}}=>[5,3]
[7,3,2,4,8,6,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[3,7,6,8,4,2,5,1]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,4,5,8},{3},{6,7}}=>[5,2,1]
[5,8,1,7,4,2,6,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[3,7,8,6,2,4,5,1]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,4,5,6,8},{3},{7}}=>[6,1,1]
[4,2,1,3,8,6,7,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>{{1,2,3,4},{5,6,7,8}}=>[4,4]
[4,2,1,8,3,7,6,5]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>{{1,5,6,7,8},{2,3,4}}=>[5,3]
[2,8,5,7,3,6,4,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[3,1,8,5,2,7,6,4]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,4,5,6,7,8},{2,3}}=>[6,2]
[8,3,5,7,1,6,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,3,6,1,4,5,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[2,8,6,3,4,5,7,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[8,3,7,6,1,4,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[3,7,1,8,2,6,4,5]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,4,5,8},{3},{6,7}}=>[5,2,1]
[3,1,7,8,2,5,6,4]=>[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]=>{{1,4,5,6,8},{2,3},{7}}=>[5,2,1]
[6,3,5,8,7,1,4,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[7,8,3,6,1,4,5,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,4,8,1,2,3,6,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[8,7,4,6,1,2,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,5,1,2,3,4,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[6,4,1,2,8,5,7,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[8,4,6,1,2,3,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,4,1,8,2,7,6,3]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>{{1,2,6,7,8},{3,4,5}}=>[5,3]
[5,4,1,8,2,7,3,6]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>{{1,2,6,7,8},{3,4,5}}=>[5,3]
[8,6,7,4,1,2,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,7,3,1,4,8,5,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>{{1,2,8},{3,4,5,7},{6}}=>[4,3,1]
[6,7,4,1,2,8,3,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>{{1,2,8},{3,4,5,7},{6}}=>[4,3,1]
[6,5,1,2,3,4,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>{{1,2,3,4,5,6},{7,8}}=>[6,2]
[8,6,5,1,2,3,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,8,6,4,1,2,5,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[6,7,5,2,1,8,4,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>{{1,2,8},{3,4,5,7},{6}}=>[4,3,1]
[6,1,4,8,3,2,7,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[3,8,2,5,6,1,4,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[6,4,3,7,8,2,5,1]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6},{7}}=>[4,3,1]
[7,5,2,8,1,4,3,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[6,7,2,4,8,1,5,3]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,7},{6}}=>[4,3,1]
[6,4,2,7,1,8,3,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>{{1,2,8},{3,7},{4,5,6}}=>[3,3,2]
[6,7,3,8,2,4,5,1]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,7},{6}}=>[5,2,1]
[7,2,4,8,6,1,3,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[6,2,4,7,1,8,5,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>{{1,2,8},{3,7},{4,5,6}}=>[3,3,2]
[6,7,2,1,8,5,3,4]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,7},{6}}=>[4,3,1]
[4,6,5,2,3,1,8,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]=>{{1,2,3,5,6},{4},{7,8}}=>[5,2,1]
[6,4,2,5,3,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>{{1,2,3,4,5,6},{7,8}}=>[6,2]
[8,6,4,7,5,2,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,2,7,4,5,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,4,2,5,8,7,3,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[6,8,2,7,4,5,3,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[8,6,4,7,2,5,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,2,4,7,5,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,8,2,4,7,5,3,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[2,8,4,6,7,5,3,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[2,8,6,7,4,5,3,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[6,8,7,2,4,5,3,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[8,2,4,6,7,5,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,2,4,8,7,5,3,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[6,2,4,5,8,7,3,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[8,2,6,7,4,5,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,7,2,4,5,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,4,5,8,7,2,3,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[8,6,7,4,2,5,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,4,6,7,2,5,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[2,1,6,8,7,4,5,3]=>[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]=>{{1,2},{3,4,5,7,8},{6}}=>[5,2,1]
[8,2,6,4,7,5,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[2,1,6,8,4,7,5,3]=>[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]=>{{1,2},{3,4,5,7,8},{6}}=>[5,2,1]
[2,1,8,6,4,7,5,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2},{3,4,5,6,7,8}}=>[6,2]
[6,8,7,4,2,5,3,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[2,8,6,4,7,5,3,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[3,7,8,5,6,1,2,4]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,4,5,6,8},{3},{7}}=>[6,1,1]
[4,2,5,1,8,3,7,6]=>[1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0]=>{{1,6,7,8},{2,5},{3,4}}=>[4,2,2]
[5,1,2,4,3,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>{{1,2,3,4,5},{6,7,8}}=>[5,3]
[5,2,4,1,3,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>{{1,2,3,4,5},{6,7,8}}=>[5,3]
[4,2,5,3,8,1,7,6]=>[1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0]=>{{1,6,7,8},{2,5},{3,4}}=>[4,2,2]
[3,2,5,4,8,7,1,6]=>[1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0]=>{{1,6,7,8},{2,3},{4,5}}=>[4,2,2]
[5,1,4,2,3,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>{{1,2,3,4,5},{6,7,8}}=>[5,3]
[5,4,3,1,2,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>{{1,2,3,4,5},{6,7,8}}=>[5,3]
[3,1,5,4,8,7,2,6]=>[1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0]=>{{1,6,7,8},{2,3},{4,5}}=>[4,2,2]
[5,3,1,4,2,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>{{1,2,3,4,5},{6,7,8}}=>[5,3]
[5,1,3,4,2,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>{{1,2,3,4,5},{6,7,8}}=>[5,3]
[5,1,3,2,4,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>{{1,2,3,4,5},{6,7,8}}=>[5,3]
[5,3,2,1,4,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>{{1,2,3,4,5},{6,7,8}}=>[5,3]
[5,2,3,1,4,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>{{1,2,3,4,5},{6,7,8}}=>[5,3]
[5,2,1,3,4,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>{{1,2,3,4,5},{6,7,8}}=>[5,3]
[4,2,1,7,5,8,3,6]=>[1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0]=>{{1,5,8},{2,3,4},{6,7}}=>[3,3,2]
[2,8,7,4,5,3,1,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[2,8,7,4,3,5,1,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[5,8,7,6,1,2,4,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[3,8,5,6,2,4,1,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[2,8,6,5,3,7,1,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[3,8,6,5,1,4,7,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[3,8,2,1,4,6,7,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[3,8,2,5,4,6,7,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[3,2,6,1,4,5,8,7]=>[1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0]=>{{1,4,5,6},{2,3},{7,8}}=>[4,2,2]
[2,8,7,3,4,5,1,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[5,8,7,6,1,3,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[5,8,7,6,2,3,4,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[3,8,1,5,2,6,4,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[2,8,7,5,3,4,1,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[2,8,7,5,4,3,1,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[5,8,7,6,1,3,2,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[5,8,7,6,4,1,2,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[8,1,7,2,4,5,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,3,6,2,5,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,3,5,4,2,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,5,3,4,2,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,5,6,2,3,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,4,5,3,2,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,4,3,5,2,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,7,1,2,8,3,5,4]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,7},{6}}=>[4,3,1]
[5,7,1,6,2,3,8,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,6,7},{5}}=>[5,2,1]
[8,5,6,2,7,1,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,7,6,4,1,3,8,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,6,7},{5}}=>[5,2,1]
[7,6,2,4,5,3,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[6,1,7,5,3,8,4,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>{{1,2,8},{3,4,7},{5,6}}=>[3,3,2]
[8,6,7,5,3,1,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,2,7,1,6,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,8,6,4,1,2,7,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[5,8,7,3,2,6,4,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[5,8,1,7,2,6,4,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[8,1,5,7,2,6,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,7,2,5,6,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,8,7,2,5,1,3,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[5,8,7,2,1,6,3,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[3,7,8,5,1,6,2,4]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,4,5,6,8},{3},{7}}=>[6,1,1]
[6,5,2,7,8,1,4,3]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6},{7}}=>[4,3,1]
[7,1,2,8,5,6,3,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[8,7,2,1,5,6,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,7,1,5,2,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,5,2,1,6,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,1,3,5,8,6,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[8,4,3,1,2,6,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,1,6,3,4,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,1,8,6,3,4,7,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[6,4,5,8,3,2,7,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[7,6,8,3,5,2,1,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[8,6,1,3,5,2,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,1,3,5,6,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,8,2,4,3,6,7,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[5,8,2,3,1,6,7,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[6,8,2,3,5,1,7,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[7,8,2,3,5,6,1,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[8,6,5,1,4,3,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,7,1,8,4,3,5,2]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,7},{6}}=>[5,2,1]
[7,5,1,8,2,4,6,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[4,6,1,5,2,3,8,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]=>{{1,2,3,5,6},{4},{7,8}}=>[5,2,1]
[7,6,5,2,8,3,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[2,1,4,8,7,6,3,5]=>[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]=>{{1,2},{3,5,6,7,8},{4}}=>[5,2,1]
[8,1,3,5,7,4,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[3,2,8,7,5,1,6,4]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,4,5,6,7,8},{2,3}}=>[6,2]
[7,8,6,1,3,5,2,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[8,3,5,4,6,7,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,1,3,8,6,7,4,2]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>{{1,2,6,7,8},{3,4,5}}=>[5,3]
[8,1,6,3,5,2,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,3,7,5,2,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[4,5,8,2,6,7,3,1]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4},{5}}=>[6,1,1]
[8,4,3,2,6,7,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,1,8,2,6,7,3,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[5,8,4,1,6,7,2,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[3,8,1,4,6,7,2,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[1,3,2,8,5,6,4,7]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>{{1},{2,3},{4,5,6,7,8}}=>[5,2,1]
[8,6,4,7,2,1,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,4,6,2,3,5,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,4,8,2,3,6,1,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[7,4,8,5,2,3,1,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[3,8,6,2,4,5,1,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[5,8,7,4,1,2,3,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[6,8,5,3,4,1,2,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[6,8,3,7,2,1,4,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[8,5,1,6,3,7,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,1,3,7,4,8,2,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>{{1,2,8},{3,7},{4,5,6}}=>[3,3,2]
[7,1,6,4,8,2,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[5,1,7,3,8,2,4,6]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5},{6,7}}=>[4,2,2]
[6,1,5,7,8,2,3,4]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6},{7}}=>[4,3,1]
[7,4,8,6,1,2,3,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[3,8,7,5,1,2,4,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[8,5,7,4,1,2,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,6,2,3,8,1,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[7,4,8,5,1,6,2,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[8,6,2,3,1,7,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,4,1,2,7,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,5,8,1,3,6,2,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[5,4,1,8,2,3,6,7]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>{{1,2,6,7,8},{3,4,5}}=>[5,3]
[6,5,1,8,2,3,4,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[7,6,8,1,5,2,3,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,1,5,8,6,2,3,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[5,1,8,7,2,3,4,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[7,1,5,8,3,4,2,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[6,4,2,3,8,5,7,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[6,4,2,7,5,8,3,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>{{1,2,8},{3,7},{4,5,6}}=>[3,3,2]
[7,1,4,3,2,5,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[7,1,4,6,5,2,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[7,1,4,6,5,3,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[6,4,2,3,8,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[5,8,1,6,3,4,2,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[6,8,5,1,3,7,2,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[6,8,5,1,3,4,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[5,8,3,4,2,6,7,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[3,8,7,4,1,5,2,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[5,8,3,2,1,6,4,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[5,8,7,4,3,1,2,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[5,3,7,2,4,6,8,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>{{1,8},{2,3,6,7},{4,5}}=>[4,2,2]
[4,3,1,7,5,8,6,2]=>[1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0]=>{{1,5,8},{2,3,4},{6,7}}=>[3,3,2]
[6,7,3,1,4,8,2,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>{{1,2,8},{3,4,5,7},{6}}=>[4,3,1]
[6,7,2,1,8,4,5,3]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,7},{6}}=>[4,3,1]
[4,2,1,7,8,6,3,5]=>[1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]=>{{1,5,6,8},{2,3,4},{7}}=>[4,3,1]
[4,2,1,7,8,3,6,5]=>[1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]=>{{1,5,6,8},{2,3,4},{7}}=>[4,3,1]
[5,2,7,1,8,3,6,4]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5},{6,7}}=>[4,2,2]
[6,7,2,1,8,3,5,4]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,7},{6}}=>[4,3,1]
[5,2,7,1,8,3,4,6]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5},{6,7}}=>[4,2,2]
[4,2,1,7,8,3,5,6]=>[1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]=>{{1,5,6,8},{2,3,4},{7}}=>[4,3,1]
[7,4,8,6,2,5,3,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,3,8,6,2,4,5,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,4,3,1,8,2,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[7,4,2,8,5,6,1,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[7,3,8,5,2,4,6,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[5,3,8,2,4,6,7,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[6,3,7,2,5,8,4,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>{{1,2,8},{3,4,7},{5,6}}=>[3,3,2]
[3,6,4,2,1,5,8,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]=>{{1,2,4,5,6},{3},{7,8}}=>[5,2,1]
[3,5,8,6,4,2,1,7]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,4,6,7,8},{3},{5}}=>[6,1,1]
[5,8,6,3,4,2,1,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[5,6,3,4,2,1,8,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>{{1,2,3,4,6},{5},{7,8}}=>[5,2,1]
[6,3,4,2,1,5,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>{{1,2,3,4,5,6},{7,8}}=>[6,2]
[5,6,4,2,1,3,8,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>{{1,2,3,4,6},{5},{7,8}}=>[5,2,1]
[2,8,5,4,1,6,3,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[2,8,6,3,5,4,1,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[5,8,6,4,2,1,3,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[2,1,8,5,6,4,3,7]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2},{3,4,5,6,7,8}}=>[6,2]
[4,2,1,8,5,6,3,7]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>{{1,5,6,7,8},{2,3,4}}=>[5,3]
[3,8,5,6,4,2,1,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[8,5,3,7,6,2,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,4,1,7,6,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,6,2,3,8,5,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[2,1,7,8,6,4,3,5]=>[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>{{1,2},{3,4,5,6,8},{7}}=>[5,2,1]
[7,8,4,2,1,6,3,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[8,4,2,3,7,5,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,7,6,2,1,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,5,6,1,8,4,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[2,8,4,3,6,1,7,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[8,4,2,6,3,1,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,5,2,3,1,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,5,2,1,4,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,8,5,2,1,4,6,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[6,8,5,2,3,1,7,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[5,8,6,2,3,1,7,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[3,2,8,6,4,1,7,5]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,4,5,6,7,8},{2,3}}=>[6,2]
[7,1,6,3,2,5,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[5,1,8,3,2,6,7,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[5,8,7,2,1,4,6,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[6,8,7,1,3,4,5,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[7,8,6,1,3,4,5,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[8,6,7,1,3,4,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,6,8,1,3,4,5,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[8,4,2,7,1,5,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,4,2,8,1,5,6,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[6,4,2,8,3,1,7,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[5,4,2,3,8,1,7,6]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>{{1,6,7,8},{2,3,4,5}}=>[4,4]
[7,4,2,1,3,6,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[8,4,2,1,3,6,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,1,3,2,6,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,6,1,3,4,2,8,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>{{1,2,3,4,6},{5},{7,8}}=>[5,2,1]
[5,7,1,3,2,6,8,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,6,7},{5}}=>[5,2,1]
[5,8,1,3,2,6,7,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[8,7,5,2,6,3,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,5,2,7,3,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,8,3,1,4,2,5,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[5,1,8,6,4,3,2,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[6,1,2,5,8,3,7,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[7,8,4,1,6,3,2,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,5,1,8,4,3,2,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[5,3,7,8,2,4,1,6]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>{{1,2,3,6,8},{4,5},{7}}=>[5,2,1]
[8,5,3,7,2,4,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,2,4,7,3,1,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,3,1,5,8,2,4,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[5,2,4,3,8,1,6,7]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>{{1,6,7,8},{2,3,4,5}}=>[4,4]
[8,1,5,7,3,2,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,4,6,7,2,3,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,4,6,8,2,3,1,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[7,2,4,8,3,1,5,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[5,3,8,7,2,4,1,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[3,1,7,4,2,8,6,5]=>[1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0]=>{{1,4,8},{2,3},{5,6,7}}=>[3,3,2]
[3,2,8,4,1,7,6,5]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,4,5,6,7,8},{2,3}}=>[6,2]
[7,6,4,8,2,3,1,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[8,6,4,7,2,3,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,2,3,7,4,1,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[3,7,4,8,2,5,1,6]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,4,5,8},{3},{6,7}}=>[5,2,1]
[8,1,6,4,2,3,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,7,6,2,3,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,1,6,4,2,3,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[6,8,7,5,2,3,1,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[4,3,6,1,5,8,7,2]=>[1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0]=>{{1,7,8},{2,5,6},{3,4}}=>[3,3,2]
[4,3,6,5,1,8,7,2]=>[1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0]=>{{1,7,8},{2,5,6},{3,4}}=>[3,3,2]
[4,1,6,5,3,8,7,2]=>[1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0]=>{{1,7,8},{2,5,6},{3,4}}=>[3,3,2]
[6,4,3,8,7,1,5,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[6,5,2,8,7,3,1,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[6,5,2,8,7,1,3,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[6,2,5,8,7,1,3,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[6,2,5,8,7,3,1,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[6,4,1,8,7,5,3,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[6,1,4,8,7,5,3,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[6,4,1,8,7,3,5,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[6,8,2,3,4,1,7,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[7,3,2,1,4,5,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[7,8,1,4,3,5,2,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[3,8,2,1,6,5,4,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[7,4,1,8,3,5,2,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[8,4,1,7,3,5,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[3,8,4,6,2,1,5,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[8,4,2,5,3,1,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,1,8,2,7,4,3,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[5,1,7,2,8,4,3,6]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5},{6,7}}=>[4,2,2]
[6,1,2,8,5,3,4,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[6,3,2,1,8,4,5,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[7,3,2,8,4,5,1,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[7,1,8,3,5,4,2,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,8,2,3,4,6,1,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[6,8,1,3,4,7,2,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[8,6,2,3,4,1,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,3,2,7,4,5,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,2,3,4,7,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,8,7,3,4,6,1,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[5,8,4,2,1,6,7,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[5,8,4,1,2,6,7,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[5,3,7,2,6,1,8,4]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>{{1,8},{2,3,6,7},{4,5}}=>[4,2,2]
[5,2,8,1,6,3,7,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[5,8,2,1,4,7,6,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[7,8,4,1,2,6,5,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[5,8,1,2,4,7,6,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[5,2,8,3,6,7,1,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[2,8,7,6,4,1,3,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[7,8,2,6,5,1,3,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[2,8,1,4,5,6,7,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[6,1,2,8,5,7,3,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[6,2,1,8,5,7,3,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[6,3,1,8,5,7,2,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[6,1,3,8,5,2,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[7,8,2,6,5,3,1,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[2,8,7,6,4,3,1,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[3,8,7,6,1,2,5,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[3,8,7,6,4,1,2,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[7,8,3,6,5,1,2,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[3,8,7,6,4,2,1,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[8,3,4,2,6,1,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,4,1,2,8,5,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[8,7,4,2,1,5,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,4,3,1,5,6,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[6,7,4,1,5,8,3,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>{{1,2,8},{3,4,5,7},{6}}=>[4,3,1]
[5,1,3,4,8,6,7,2]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>{{1,6,7,8},{2,3,4,5}}=>[4,4]
[5,4,3,8,1,6,7,2]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>{{1,2,6,7,8},{3,4,5}}=>[5,3]
[8,5,3,4,1,6,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,8,3,2,5,1,4,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[6,7,5,4,1,8,3,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>{{1,2,8},{3,4,5,7},{6}}=>[4,3,1]
[8,5,6,1,3,2,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,1,5,3,2,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,8,1,5,3,2,4,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[8,1,7,5,3,2,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,1,4,5,2,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,3,1,5,2,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,4,6,1,5,2,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,2,1,5,4,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,2,6,1,4,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,2,1,7,4,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,2,7,5,1,3,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,4,1,7,5,2,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,2,6,1,7,4,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,7,4,3,2,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,5,7,3,2,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,7,8,1,3,2,6,4]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,6,8},{5},{7}}=>[6,1,1]
[8,2,6,1,5,7,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,8,1,6,7,2,3,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[8,1,5,6,7,2,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,5,7,1,8,2,3,4]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,7},{5,6}}=>[4,2,2]
[8,1,6,4,7,2,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,5,8,1,3,2,4,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,8,4,1,3,2,5,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[8,3,7,4,1,2,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,1,7,3,2,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,8,1,7,3,2,4,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[7,1,8,4,3,6,2,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,3,1,8,6,4,2,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[8,3,1,7,4,6,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,4,5,1,7,2,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,3,1,8,5,6,2,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[5,8,1,7,3,2,6,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[8,4,1,7,3,2,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,3,4,7,1,2,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,4,8,2,1,3,6,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,4,3,8,1,2,6,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[8,2,3,6,7,1,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,8,5,2,3,6,4,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[8,7,5,2,3,1,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,8,5,2,3,4,7,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[7,3,5,6,1,2,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[5,7,3,1,4,6,8,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,6,7},{5}}=>[5,2,1]
[5,3,7,4,1,2,8,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>{{1,8},{2,3,6,7},{4,5}}=>[4,2,2]
[5,3,7,1,4,2,8,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>{{1,8},{2,3,6,7},{4,5}}=>[4,2,2]
[7,8,3,5,1,2,6,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,3,8,5,1,2,6,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,3,5,8,1,2,6,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[5,2,8,4,7,6,1,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[6,2,4,8,7,5,1,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[7,1,4,2,8,6,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[3,6,2,5,1,4,8,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]=>{{1,2,4,5,6},{3},{7,8}}=>[5,2,1]
[5,2,8,4,1,3,7,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[6,3,1,7,2,8,5,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>{{1,2,8},{3,7},{4,5,6}}=>[3,3,2]
[7,5,1,2,8,6,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[5,3,1,7,2,8,6,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>{{1,2,8},{3,4,5},{6,7}}=>[3,3,2]
[2,1,7,8,4,6,3,5]=>[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>{{1,2},{3,4,5,6,8},{7}}=>[5,2,1]
[3,5,8,7,2,6,4,1]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,4,6,7,8},{3},{5}}=>[6,1,1]
[5,8,2,7,1,6,4,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[8,6,3,7,5,2,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[3,5,7,8,2,6,1,4]=>[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>{{1,2,4,6,8},{3},{5},{7}}=>[5,1,1,1]
[5,6,2,4,1,3,8,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>{{1,2,3,4,6},{5},{7,8}}=>[5,2,1]
[7,6,3,8,5,2,4,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[8,2,3,4,6,1,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,2,3,4,6,1,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[8,2,3,4,7,5,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,8,3,6,5,1,4,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[8,2,3,4,7,1,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[3,8,6,4,5,1,2,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[8,7,3,6,5,1,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,2,7,5,1,6,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,8,1,7,3,6,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[5,2,7,8,4,6,3,1]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>{{1,2,3,6,8},{4,5},{7}}=>[5,2,1]
[5,2,8,3,7,6,1,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[8,2,7,3,1,6,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,8,3,2,5,7,1,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[6,7,3,8,5,4,2,1]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,7},{6}}=>[5,2,1]
[8,2,3,4,1,7,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,2,3,4,8,7,5,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[6,8,3,1,5,7,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[8,6,7,4,1,5,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,1,8,4,6,5,2,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[8,7,1,5,4,6,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,7,1,4,6,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,4,7,1,5,6,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,5,1,4,6,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,2,5,1,4,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,1,4,2,5,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,5,1,2,4,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,1,8,5,6,2,3,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[3,5,8,7,1,2,6,4]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,4,6,7,8},{3},{5}}=>[6,1,1]
[3,8,7,1,5,6,2,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[3,5,8,7,1,6,2,4]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,4,6,7,8},{3},{5}}=>[6,1,1]
[3,2,8,6,7,5,1,4]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,4,5,6,7,8},{2,3}}=>[6,2]
[8,7,4,1,2,6,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[2,8,7,1,5,6,3,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[8,7,1,5,2,4,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,1,8,2,4,6,5,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[2,8,7,1,3,5,6,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[7,1,8,2,3,5,6,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[8,6,3,7,4,1,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,4,2,7,5,6,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,3,4,7,5,1,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,3,7,4,5,1,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,4,2,5,6,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,5,1,6,2,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,2,4,1,5,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,4,1,2,5,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,2,7,1,6,3,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,2,7,1,3,6,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[2,8,3,6,7,1,5,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[8,7,2,1,3,5,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,2,7,3,6,1,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,2,7,4,1,5,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,2,1,7,5,6,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,3,1,5,6,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[2,8,7,3,5,6,1,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[8,3,1,6,7,5,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,2,1,6,7,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,2,3,6,7,5,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,3,7,2,5,6,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,3,7,5,6,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,4,1,2,7,5,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,4,2,6,7,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,2,7,3,6,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,7,3,6,2,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,7,2,6,3,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,7,2,3,6,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,3,7,2,5,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,3,7,1,2,5,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,3,7,2,8,6,4,1]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5},{6,7}}=>[4,2,2]
[5,3,8,2,6,7,4,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[6,4,3,1,8,2,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[5,3,7,8,2,6,4,1]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>{{1,2,3,6,8},{4,5},{7}}=>[5,2,1]
[5,3,7,6,8,2,4,1]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5},{6,7}}=>[4,2,2]
[5,7,8,4,6,2,1,3]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,6,8},{5},{7}}=>[6,1,1]
[5,8,4,3,6,7,1,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[5,8,6,4,7,2,1,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[5,3,8,6,2,7,4,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[5,3,8,7,2,6,4,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[5,3,8,6,7,2,4,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[5,3,7,8,6,2,4,1]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>{{1,2,3,6,8},{4,5},{7}}=>[5,2,1]
[5,8,4,6,7,2,1,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[6,4,2,8,1,7,3,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[6,7,4,3,1,8,2,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>{{1,2,8},{3,4,5,7},{6}}=>[4,3,1]
[4,5,8,6,7,3,2,1]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4},{5}}=>[6,1,1]
[7,8,4,5,1,3,2,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,8,2,3,1,5,4,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,8,2,4,3,5,1,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,8,2,4,1,5,3,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[6,7,3,5,4,8,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>{{1,2,8},{3,4,5,7},{6}}=>[4,3,1]
[6,7,5,8,1,3,2,4]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,7},{6}}=>[5,2,1]
[6,2,4,7,5,8,3,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>{{1,2,8},{3,7},{4,5,6}}=>[3,3,2]
[3,7,4,8,6,1,5,2]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,4,5,8},{3},{6,7}}=>[5,2,1]
[5,1,2,8,7,6,3,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>{{1,2,6,7,8},{3,4,5}}=>[5,3]
[6,1,4,8,7,2,5,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[5,8,3,4,7,1,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[6,8,3,5,7,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[5,2,7,8,3,6,4,1]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>{{1,2,3,6,8},{4,5},{7}}=>[5,2,1]
[7,5,8,4,2,6,3,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[6,8,4,5,2,7,3,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[6,8,2,5,3,7,4,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[7,2,5,3,8,6,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[6,7,4,2,8,5,3,1]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,7},{6}}=>[4,3,1]
[5,7,8,3,2,6,4,1]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,6,8},{5},{7}}=>[6,1,1]
[5,8,4,7,2,3,6,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[6,7,4,8,1,5,3,2]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,7},{6}}=>[5,2,1]
[7,4,2,8,6,1,5,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[6,8,5,3,7,2,4,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[6,8,5,2,3,7,4,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[7,5,3,8,2,6,4,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[7,4,2,5,8,6,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[6,8,4,2,5,7,3,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[7,5,8,3,4,6,2,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,4,5,8,1,6,3,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[6,3,4,7,8,5,2,1]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6},{7}}=>[4,3,1]
[7,8,1,4,6,2,3,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,8,1,2,3,5,4,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,8,1,4,5,2,6,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,2,8,4,3,5,1,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[8,4,2,1,5,3,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,4,1,5,3,2,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,7,3,8,4,2,5,1]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,7},{6}}=>[5,2,1]
[6,7,3,8,4,2,1,5]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,7},{6}}=>[5,2,1]
[7,1,8,4,3,5,2,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,1,4,8,3,5,2,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[7,1,8,4,3,5,6,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[6,7,3,1,8,4,5,2]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,7},{6}}=>[4,3,1]
[6,7,1,4,8,3,5,2]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,7},{6}}=>[4,3,1]
[6,7,4,1,3,8,2,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>{{1,2,8},{3,4,5,7},{6}}=>[4,3,1]
[7,2,1,8,4,5,3,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[6,2,7,1,8,4,3,5]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,7},{5,6}}=>[4,2,2]
[7,8,1,3,6,2,4,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[6,7,1,2,8,5,3,4]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,7},{6}}=>[4,3,1]
[6,8,1,5,3,7,2,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[8,7,5,2,4,1,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,8,5,2,4,1,6,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,1,8,4,6,3,2,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[6,8,2,4,3,1,5,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[3,7,1,8,6,4,2,5]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,4,5,8},{3},{6,7}}=>[5,2,1]
[3,8,1,7,6,4,2,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[8,7,2,4,3,5,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,7,4,6,3,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,7,6,5,3,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,2,5,3,6,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,1,2,3,5,4,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[5,1,2,3,8,6,4,7]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>{{1,6,7,8},{2,3,4,5}}=>[4,4]
[8,6,5,2,4,7,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,6,2,5,3,1,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[5,7,8,4,2,6,3,1]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,6,8},{5},{7}}=>[6,1,1]
[6,8,4,5,7,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[5,8,4,6,1,7,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[5,3,2,8,6,7,4,1]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>{{1,2,6,7,8},{3,4,5}}=>[5,3]
[5,4,8,2,6,7,3,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[5,4,8,6,2,7,3,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[5,3,2,7,6,8,4,1]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>{{1,2,8},{3,4,5},{6,7}}=>[3,3,2]
[6,7,3,8,5,2,4,1]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,7},{6}}=>[5,2,1]
[3,5,7,8,4,6,2,1]=>[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>{{1,2,4,6,8},{3},{5},{7}}=>[5,1,1,1]
[5,7,8,2,4,6,3,1]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,6,8},{5},{7}}=>[6,1,1]
[3,7,4,8,6,2,1,5]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,4,5,8},{3},{6,7}}=>[5,2,1]
[6,3,1,8,7,5,4,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[5,4,8,1,7,6,3,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[5,8,4,1,7,6,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[7,5,4,1,8,6,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[8,5,4,1,7,6,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,2,8,4,5,1,3,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,2,8,4,1,5,6,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,5,8,1,2,6,3,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[6,5,4,3,8,1,7,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[6,2,5,8,4,1,3,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[6,1,2,8,5,4,7,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[6,2,5,7,8,1,3,4]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6},{7}}=>[4,3,1]
[1,3,2,7,8,5,6,4]=>[1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>{{1},{2,3},{4,5,6,8},{7}}=>[4,2,1,1]
[6,5,2,1,8,7,3,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[6,5,2,3,8,7,1,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[6,4,2,7,8,5,1,3]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6},{7}}=>[4,3,1]
[6,1,4,8,7,5,2,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[8,1,6,2,4,7,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,4,1,7,8,5,2,3]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6},{7}}=>[4,3,1]
[2,8,6,1,4,7,3,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[3,2,7,5,4,8,1,6]=>[1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0]=>{{1,4,8},{2,3},{5,6,7}}=>[3,3,2]
[6,8,3,2,4,7,1,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[3,1,7,5,4,8,2,6]=>[1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0]=>{{1,4,8},{2,3},{5,6,7}}=>[3,3,2]
[5,1,8,4,7,3,2,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[5,8,2,4,7,3,1,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[6,8,4,3,7,5,1,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[8,5,2,4,7,3,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,5,4,7,3,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,3,1,4,7,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,4,1,7,2,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[4,1,3,2,7,8,5,6]=>[1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0]=>{{1,2,3,4},{5,6,8},{7}}=>[4,3,1]
[2,8,5,4,7,3,1,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[8,2,5,4,7,3,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,7,6,4,3,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,4,5,2,7,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,1,8,6,4,3,5,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[8,3,6,5,2,1,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,3,6,5,2,1,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[5,4,2,8,1,3,7,6]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>{{1,2,6,7,8},{3,4,5}}=>[5,3]
[5,8,2,6,4,1,3,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[2,8,7,6,3,1,5,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[2,8,7,3,6,1,4,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[8,4,2,5,1,3,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[2,8,6,3,1,4,5,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[8,3,5,2,1,4,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[2,8,1,5,7,3,6,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[8,3,6,1,4,7,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[3,7,5,8,1,2,6,4]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,4,5,8},{3},{6,7}}=>[5,2,1]
[7,4,8,1,6,5,2,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,4,6,1,8,2,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[6,8,4,5,1,7,2,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[5,1,7,6,2,3,8,4]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>{{1,8},{2,3,6,7},{4,5}}=>[4,2,2]
[5,1,8,7,6,2,3,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[8,5,1,7,6,2,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,1,6,2,7,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,4,6,1,7,5,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,8,4,1,7,2,3,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[8,6,4,7,1,2,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,4,7,1,2,8,5,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>{{1,2,8},{3,4,7},{5,6}}=>[3,3,2]
[6,5,1,8,2,7,3,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[8,6,5,1,2,7,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,5,1,7,2,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,5,1,8,7,2,3,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[6,5,1,7,2,8,3,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>{{1,2,8},{3,7},{4,5,6}}=>[3,3,2]
[6,8,5,7,4,1,2,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[6,8,3,1,5,2,4,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[6,8,4,2,1,5,3,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[5,8,2,1,4,7,3,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[6,8,4,3,1,5,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[6,8,4,2,1,5,7,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[6,8,3,2,1,4,5,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[5,4,7,2,1,6,8,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>{{1,8},{2,3,6,7},{4,5}}=>[4,2,2]
[4,2,1,8,5,7,3,6]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>{{1,5,6,7,8},{2,3,4}}=>[5,3]
[7,4,3,1,8,5,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[6,2,1,8,3,7,4,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[5,3,2,8,6,1,4,7]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>{{1,2,6,7,8},{3,4,5}}=>[5,3]
[6,3,2,8,7,1,4,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[2,1,5,8,4,7,3,6]=>[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>{{1,2},{3,4,6,7,8},{5}}=>[5,2,1]
[4,3,1,7,2,8,5,6]=>[1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0]=>{{1,5,8},{2,3,4},{6,7}}=>[3,3,2]
[5,4,1,7,2,8,6,3]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>{{1,2,8},{3,4,5},{6,7}}=>[3,3,2]
[8,6,1,4,5,7,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[3,8,6,4,5,7,1,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[5,2,8,3,7,4,6,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[5,2,8,4,3,6,7,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[5,4,2,8,3,6,1,7]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>{{1,2,6,7,8},{3,4,5}}=>[5,3]
[6,5,3,8,4,7,2,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[5,2,8,4,3,7,1,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[6,4,3,8,1,2,7,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[7,2,8,4,3,1,5,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,5,3,8,4,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[7,6,4,8,2,3,5,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[6,5,1,7,8,2,3,4]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6},{7}}=>[4,3,1]
[6,3,1,7,8,4,2,5]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6},{7}}=>[4,3,1]
[5,4,1,7,3,8,2,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>{{1,2,8},{3,4,5},{6,7}}=>[3,3,2]
[6,3,2,7,8,4,1,5]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6},{7}}=>[4,3,1]
[6,1,5,4,3,2,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>{{1,2,3,4,5,6},{7,8}}=>[6,2]
[8,7,6,1,3,5,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,6,5,7,3,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,4,1,5,7,6,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,8,6,2,5,3,1,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[8,1,3,7,4,2,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,7,1,8,5,3,4,2]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,7},{6}}=>[5,2,1]
[7,4,6,1,3,2,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[8,4,7,6,3,1,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,4,1,5,6,3,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[5,7,2,1,6,3,8,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,6,7},{5}}=>[5,2,1]
[8,6,2,5,7,1,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,8,7,1,3,2,5,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[2,8,6,5,7,1,4,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[5,8,4,3,2,6,7,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[8,1,5,6,2,4,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,4,1,2,8,6,7,3]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>{{1,6,7,8},{2,3,4,5}}=>[4,4]
[8,4,5,2,1,6,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,2,8,6,3,4,7,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[5,3,8,1,7,2,4,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[6,5,1,8,4,3,7,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[3,5,8,1,2,6,7,4]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,4,6,7,8},{3},{5}}=>[6,1,1]
[3,2,7,8,4,6,1,5]=>[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]=>{{1,4,5,6,8},{2,3},{7}}=>[5,2,1]
[5,1,8,3,4,6,7,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[2,8,1,6,3,4,7,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[8,2,1,5,7,3,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[2,4,1,3,8,6,7,5]=>[1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0]=>{{1,3,4},{2},{5,6,7,8}}=>[4,3,1]
[8,4,3,7,1,2,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,2,1,6,8,3,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[5,1,7,2,3,6,8,4]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>{{1,8},{2,3,6,7},{4,5}}=>[4,2,2]
[7,2,1,6,3,5,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[8,1,3,2,4,6,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,3,1,2,4,6,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[3,5,8,1,2,7,4,6]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,4,6,7,8},{3},{5}}=>[6,1,1]
[4,1,3,8,7,2,6,5]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>{{1,5,6,7,8},{2,3,4}}=>[5,3]
[3,5,8,1,7,2,4,6]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,4,6,7,8},{3},{5}}=>[6,1,1]
[8,4,1,7,3,6,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[3,7,2,8,6,1,5,4]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,4,5,8},{3},{6,7}}=>[5,2,1]
[6,2,3,8,7,1,5,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[3,7,8,2,4,1,5,6]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,4,5,6,8},{3},{7}}=>[6,1,1]
[6,1,4,7,8,3,5,2]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6},{7}}=>[4,3,1]
[6,1,7,3,8,2,5,4]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,7},{5,6}}=>[4,2,2]
[6,1,4,7,8,5,2,3]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6},{7}}=>[4,3,1]
[6,2,7,3,1,8,5,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>{{1,2,8},{3,4,7},{5,6}}=>[3,3,2]
[6,2,4,7,8,1,5,3]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6},{7}}=>[4,3,1]
[8,6,5,1,3,2,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[3,8,4,7,1,2,5,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[5,8,6,4,1,3,2,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[8,3,6,4,5,2,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,8,5,7,4,2,3,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[3,5,8,7,4,1,2,6]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,4,6,7,8},{3},{5}}=>[6,1,1]
[7,3,8,4,1,2,5,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[6,8,1,2,7,4,5,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[8,5,4,7,1,6,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[3,7,4,8,5,6,2,1]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,4,5,8},{3},{6,7}}=>[5,2,1]
[3,8,5,2,4,6,7,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[3,7,6,8,5,1,2,4]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,4,5,8},{3},{6,7}}=>[5,2,1]
[5,4,7,8,2,6,3,1]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>{{1,2,3,6,8},{4,5},{7}}=>[5,2,1]
[2,8,3,4,1,5,7,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[6,8,3,4,1,2,7,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[6,8,7,1,5,2,3,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[3,5,8,6,1,4,7,2]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,4,6,7,8},{3},{5}}=>[6,1,1]
[2,8,5,6,1,4,7,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[5,8,2,3,7,6,1,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[7,6,4,8,5,2,1,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[7,5,3,2,8,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[5,4,8,1,3,6,7,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[8,3,5,4,1,6,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,1,6,4,3,2,8,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]=>{{1,2,3,6},{4,5},{7,8}}=>[4,2,2]
[8,3,7,1,4,6,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[2,8,3,6,4,7,5,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[6,2,1,7,5,8,3,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>{{1,2,8},{3,7},{4,5,6}}=>[3,3,2]
[6,7,2,1,5,8,4,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>{{1,2,8},{3,4,5,7},{6}}=>[4,3,1]
[6,1,4,8,2,3,5,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[8,7,2,5,6,1,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,7,4,1,2,3,8,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,6,7},{5}}=>[5,2,1]
[6,4,3,8,5,7,1,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[8,3,7,4,5,6,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,8,4,2,3,1,5,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[2,1,7,4,8,3,5,6]=>[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>{{1,2},{3,4,5,8},{6,7}}=>[4,2,2]
[5,2,8,6,1,3,4,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[2,8,3,1,4,5,6,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[7,4,8,2,3,1,5,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[8,3,7,2,1,4,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,5,7,4,1,8,2,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>{{1,2,8},{3,4,7},{5,6}}=>[3,3,2]
[8,6,4,1,3,7,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,4,3,1,8,2,5,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[7,8,4,1,3,6,2,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[8,3,1,7,2,4,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[2,8,1,4,7,3,5,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[3,1,8,5,4,7,6,2]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,4,5,6,7,8},{2,3}}=>[6,2]
[4,1,5,3,8,7,6,2]=>[1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0]=>{{1,6,7,8},{2,5},{3,4}}=>[4,2,2]
[5,6,2,7,4,1,8,3]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>{{1,8},{2,3,7},{4,6},{5}}=>[3,2,2,1]
[5,6,1,7,2,4,8,3]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>{{1,8},{2,3,7},{4,6},{5}}=>[3,2,2,1]
[7,8,1,3,5,6,2,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[3,1,7,5,8,2,6,4]=>[1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0]=>{{1,4,5,8},{2,3},{6,7}}=>[4,2,2]
[3,6,2,1,4,5,8,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]=>{{1,2,4,5,6},{3},{7,8}}=>[5,2,1]
[6,4,2,5,1,3,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>{{1,2,3,4,5,6},{7,8}}=>[6,2]
[8,6,1,7,3,2,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,8,2,7,3,1,4,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[6,8,2,3,7,1,4,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[8,6,2,7,4,5,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,2,8,1,7,3,4,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[4,2,3,8,1,5,6,7]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>{{1,5,6,7,8},{2,3,4}}=>[5,3]
[5,2,8,3,7,1,4,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[5,2,8,4,6,1,3,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[2,1,5,8,4,3,6,7]=>[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>{{1,2},{3,4,6,7,8},{5}}=>[5,2,1]
[5,8,3,2,7,1,4,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[4,1,3,8,2,5,6,7]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>{{1,5,6,7,8},{2,3,4}}=>[5,3]
[5,1,8,3,7,2,4,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[5,1,8,4,6,2,3,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[5,8,4,1,6,2,3,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[4,5,8,1,6,2,3,7]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4},{5}}=>[6,1,1]
[5,4,8,1,6,2,3,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[2,1,5,4,8,3,6,7]=>[1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0]=>{{1,2},{3,6,7,8},{4,5}}=>[4,2,2]
[3,1,8,4,2,5,6,7]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,4,5,6,7,8},{2,3}}=>[6,2]
[3,8,4,2,1,5,6,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[3,8,5,2,7,1,4,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[2,1,4,8,5,3,6,7]=>[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]=>{{1,2},{3,5,6,7,8},{4}}=>[5,2,1]
[3,2,8,4,1,5,6,7]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,4,5,6,7,8},{2,3}}=>[6,2]
[2,8,4,3,1,5,6,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[3,8,4,2,6,7,5,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[3,8,4,1,6,7,5,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[6,1,7,5,2,8,4,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>{{1,2,8},{3,4,7},{5,6}}=>[3,3,2]
[3,8,4,2,1,6,7,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[6,7,4,8,1,2,5,3]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,7},{6}}=>[5,2,1]
[6,7,5,8,1,2,4,3]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,7},{6}}=>[5,2,1]
[6,7,4,8,3,1,2,5]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,7},{6}}=>[5,2,1]
[6,1,3,4,8,2,5,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[6,2,3,4,8,1,5,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[6,7,5,8,3,1,4,2]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,7},{6}}=>[5,2,1]
[6,7,4,8,2,3,5,1]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,7},{6}}=>[5,2,1]
[6,7,4,8,1,3,5,2]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,7},{6}}=>[5,2,1]
[6,3,1,4,8,2,5,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[6,7,4,8,1,3,2,5]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,7},{6}}=>[5,2,1]
[6,7,5,8,4,1,3,2]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,7},{6}}=>[5,2,1]
[6,7,4,8,2,1,3,5]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,7},{6}}=>[5,2,1]
[6,7,4,8,1,2,3,5]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,7},{6}}=>[5,2,1]
[7,8,3,2,6,1,4,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,8,4,1,5,6,3,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,8,1,2,6,3,4,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,8,5,1,4,6,3,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[5,3,8,4,1,6,7,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[6,2,4,8,1,5,3,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[5,3,8,1,4,6,7,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[7,4,2,8,1,5,3,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[6,1,7,5,8,4,3,2]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,7},{5,6}}=>[4,2,2]
[6,1,5,7,8,4,3,2]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6},{7}}=>[4,3,1]
[3,1,8,4,5,6,7,2]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,4,5,6,7,8},{2,3}}=>[6,2]
[4,2,1,8,6,5,3,7]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>{{1,5,6,7,8},{2,3,4}}=>[5,3]
[3,2,7,8,5,1,4,6]=>[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]=>{{1,4,5,6,8},{2,3},{7}}=>[5,2,1]
[7,3,6,8,5,4,1,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[7,2,1,8,5,3,4,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[7,1,6,5,8,4,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[6,5,7,1,8,4,3,2]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,7},{5,6}}=>[4,2,2]
[6,7,1,5,8,4,3,2]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,7},{6}}=>[4,3,1]
[7,1,2,8,4,5,3,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[7,6,1,5,8,4,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[7,5,6,1,8,4,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[8,7,4,2,5,3,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,4,2,8,6,3,5,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[6,1,5,3,8,7,4,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[2,8,7,5,4,6,1,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[7,4,2,1,8,6,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[8,6,3,7,4,2,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[2,8,6,4,7,5,1,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[5,1,8,6,3,7,4,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[6,3,7,4,1,8,5,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>{{1,2,8},{3,4,7},{5,6}}=>[3,3,2]
[8,5,2,6,3,7,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,3,7,4,2,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,3,2,4,7,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,5,1,8,6,3,2,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[8,6,3,1,7,4,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,4,2,5,3,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,3,1,8,7,4,2,6]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>{{1,2,6,7,8},{3,4,5}}=>[5,3]
[2,8,6,4,1,3,7,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[7,4,2,8,6,3,1,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[6,3,1,8,5,2,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[8,5,2,6,3,1,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,4,8,5,2,6,3,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[6,3,1,7,4,8,5,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>{{1,2,8},{3,7},{4,5,6}}=>[3,3,2]
[7,4,8,5,2,1,6,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[3,6,5,2,1,4,8,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]=>{{1,2,4,5,6},{3},{7,8}}=>[5,2,1]
[3,5,6,2,1,4,8,7]=>[1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0]=>{{1,2,4,6},{3},{5},{7,8}}=>[4,2,1,1]
[3,5,7,8,1,4,2,6]=>[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>{{1,2,4,6,8},{3},{5},{7}}=>[5,1,1,1]
[2,1,5,8,7,4,3,6]=>[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>{{1,2},{3,4,6,7,8},{5}}=>[5,2,1]
[5,1,7,4,8,3,2,6]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5},{6,7}}=>[4,2,2]
[3,7,8,2,4,1,6,5]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,4,5,6,8},{3},{7}}=>[6,1,1]
[3,8,7,2,4,1,6,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[3,8,6,2,4,1,7,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[7,3,4,8,1,6,2,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[6,3,4,8,1,7,2,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[5,3,4,8,1,2,7,6]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>{{1,2,6,7,8},{3,4,5}}=>[5,3]
[6,4,3,8,1,7,2,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[7,4,3,8,1,6,2,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[6,5,3,8,7,1,2,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[3,7,5,8,6,1,2,4]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,4,5,8},{3},{6,7}}=>[5,2,1]
[7,2,8,5,6,1,3,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[5,2,8,6,7,1,3,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[5,2,8,7,6,1,3,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[7,4,6,5,8,1,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[8,7,4,2,3,6,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,1,5,4,2,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,2,5,4,1,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,2,8,7,1,4,3,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[7,1,8,6,2,4,3,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[8,1,6,2,7,5,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,1,6,2,8,5,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[7,2,4,3,5,1,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[8,2,3,5,1,7,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,2,8,1,6,5,3,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[5,3,1,7,4,8,2,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>{{1,2,8},{3,4,5},{6,7}}=>[3,3,2]
[7,4,8,2,1,5,3,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[8,2,4,1,6,3,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,2,7,5,1,6,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,1,7,3,2,8,5,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>{{1,2,8},{3,4,7},{5,6}}=>[3,3,2]
[5,3,1,6,2,8,4,7]=>[1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0]=>{{1,7,8},{2,6},{3,4,5}}=>[3,3,2]
[6,1,5,2,8,4,3,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[7,4,3,8,1,5,2,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[7,4,8,1,5,3,2,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[6,3,2,8,4,1,5,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[7,3,4,2,8,5,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[8,5,1,3,7,4,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[3,8,6,1,5,2,7,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[6,7,1,3,8,5,2,4]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,7},{6}}=>[4,3,1]
[7,1,3,8,4,2,6,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[5,6,2,7,1,3,8,4]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>{{1,8},{2,3,7},{4,6},{5}}=>[3,2,2,1]
[7,4,1,5,8,3,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[6,4,2,7,3,8,1,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>{{1,2,8},{3,7},{4,5,6}}=>[3,3,2]
[7,4,8,3,1,5,2,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[5,2,1,7,4,8,3,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>{{1,2,8},{3,4,5},{6,7}}=>[3,3,2]
[7,1,6,4,5,2,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[4,2,3,8,6,1,5,7]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>{{1,5,6,7,8},{2,3,4}}=>[5,3]
[2,1,5,3,8,7,4,6]=>[1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0]=>{{1,2},{3,6,7,8},{4,5}}=>[4,2,2]
[5,8,3,2,4,1,6,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[3,2,7,1,4,8,5,6]=>[1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0]=>{{1,4,8},{2,3},{5,6,7}}=>[3,3,2]
[7,3,4,8,6,5,1,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[5,3,4,8,7,2,6,1]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>{{1,2,6,7,8},{3,4,5}}=>[5,3]
[7,5,3,8,6,2,4,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[7,4,3,8,6,2,5,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[3,2,8,6,7,4,5,1]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,4,5,6,7,8},{2,3}}=>[6,2]
[7,2,8,6,3,4,5,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[5,2,8,4,6,7,3,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[7,3,5,8,6,2,4,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[3,7,5,8,4,6,2,1]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,4,5,8},{3},{6,7}}=>[5,2,1]
[7,6,3,8,1,2,5,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[7,4,2,3,8,1,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[8,2,6,3,7,1,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,1,2,7,4,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,4,7,1,2,3,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,7,1,2,4,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[3,8,5,6,1,2,4,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[3,7,5,8,1,2,4,6]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,4,5,8},{3},{6,7}}=>[5,2,1]
[7,6,4,8,1,3,5,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[5,1,2,8,6,3,4,7]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>{{1,2,6,7,8},{3,4,5}}=>[5,3]
[5,3,8,1,6,2,4,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[6,8,1,3,7,4,5,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[7,2,8,1,6,3,4,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[6,8,2,7,1,4,5,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[3,8,7,1,2,4,6,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[5,8,7,1,2,4,6,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[5,8,7,1,3,4,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[7,1,8,6,2,3,5,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[5,8,6,4,1,2,3,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[8,2,4,1,7,3,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,1,4,2,3,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,1,7,4,3,8,2,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>{{1,2,8},{3,4,7},{5,6}}=>[3,3,2]
[7,4,1,3,8,2,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[8,7,1,3,4,2,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[3,8,6,4,5,2,1,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[3,8,4,6,5,2,1,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[8,1,4,3,6,2,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[4,2,3,8,5,7,1,6]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>{{1,5,6,7,8},{2,3,4}}=>[5,3]
[2,8,5,7,3,4,1,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[5,8,2,6,4,3,1,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[7,2,5,8,4,3,1,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[8,2,3,5,4,7,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[3,8,4,5,6,2,1,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[3,8,6,5,4,2,1,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[7,3,8,1,2,6,4,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[5,1,4,8,6,3,2,7]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>{{1,2,6,7,8},{3,4,5}}=>[5,3]
[5,3,1,8,4,7,2,6]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>{{1,2,6,7,8},{3,4,5}}=>[5,3]
[3,8,4,1,6,5,2,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[8,7,2,4,5,1,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,1,5,4,8,6,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[5,8,3,7,4,1,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[8,1,7,4,2,6,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,3,7,4,8,6,2,1]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5},{6,7}}=>[4,2,2]
[8,5,3,6,1,4,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,5,3,7,4,8,2,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>{{1,2,8},{3,7},{4,5,6}}=>[3,3,2]
[8,4,1,2,5,6,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,8,3,1,2,5,7,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[8,5,1,7,2,6,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,1,4,5,2,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,6,3,1,5,2,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[7,5,1,8,2,6,3,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[8,7,3,1,5,4,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,3,7,6,1,2,8,4]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>{{1,8},{2,3,6,7},{4,5}}=>[4,2,2]
[5,3,7,6,4,1,8,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>{{1,8},{2,3,6,7},{4,5}}=>[4,2,2]
[3,2,7,5,1,8,6,4]=>[1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0]=>{{1,4,8},{2,3},{5,6,7}}=>[3,3,2]
[3,2,7,5,1,8,4,6]=>[1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0]=>{{1,4,8},{2,3},{5,6,7}}=>[3,3,2]
[5,8,3,4,1,7,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[5,8,7,2,4,1,6,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[3,8,6,4,1,7,5,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[3,8,4,1,7,6,5,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[5,7,8,2,4,1,6,3]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,6,8},{5},{7}}=>[6,1,1]
[5,8,2,4,1,6,3,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[8,4,2,6,5,1,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,3,2,5,6,1,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[3,2,8,6,7,1,5,4]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,4,5,6,7,8},{2,3}}=>[6,2]
[8,7,3,2,5,6,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,2,8,1,5,3,6,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[8,4,2,7,5,1,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,4,2,8,5,1,3,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[7,2,4,1,8,3,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[8,5,3,6,2,4,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,6,1,4,5,3,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[7,6,1,3,5,4,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[7,6,5,8,3,1,4,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[7,3,6,5,1,4,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[7,6,1,3,4,5,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[7,6,1,5,3,4,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[7,6,1,5,4,3,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[7,6,5,8,1,3,2,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[4,6,2,3,5,1,8,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]=>{{1,2,3,5,6},{4},{7,8}}=>[5,2,1]
[8,2,6,7,1,4,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,2,6,7,4,1,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[2,8,1,6,7,4,5,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[2,8,6,1,4,7,5,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[2,8,1,6,4,7,5,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[6,4,5,2,8,3,1,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[4,2,3,1,6,8,5,7]=>[1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0]=>{{1,2,3,4},{5,7,8},{6}}=>[4,3,1]
[4,2,3,8,6,1,7,5]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>{{1,5,6,7,8},{2,3,4}}=>[5,3]
[6,4,5,8,2,3,7,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[2,1,4,8,6,3,7,5]=>[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]=>{{1,2},{3,5,6,7,8},{4}}=>[5,2,1]
[8,6,2,4,7,5,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[2,1,6,8,4,5,7,3]=>[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]=>{{1,2},{3,4,5,7,8},{6}}=>[5,2,1]
[2,8,1,4,6,7,3,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[8,4,2,6,7,3,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,1,8,3,6,4,7,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[5,1,3,8,7,6,4,2]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>{{1,2,6,7,8},{3,4,5}}=>[5,3]
[3,8,5,6,1,7,2,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[6,7,4,8,5,1,3,2]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,7},{6}}=>[5,2,1]
[5,2,8,3,7,1,6,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[7,4,5,8,6,1,3,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[5,3,8,1,7,2,6,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[6,5,3,8,2,7,4,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[6,3,4,8,2,7,5,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[7,8,4,2,5,3,1,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[6,3,1,8,7,5,2,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[7,6,3,1,8,4,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[8,4,2,5,7,6,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,5,2,4,8,6,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[8,7,5,2,4,6,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,2,8,6,3,7,4,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[8,4,7,5,2,6,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,3,6,4,7,5,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,5,2,1,8,3,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[7,5,2,6,3,1,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[5,2,8,7,4,1,6,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[8,7,4,1,5,2,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,6,3,1,4,2,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[7,5,2,8,6,3,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[8,7,5,2,1,3,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,4,7,5,2,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,3,1,4,8,7,5,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[8,6,3,1,4,7,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,5,2,1,6,4,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[7,4,1,8,6,3,5,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[8,4,6,3,1,7,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[3,1,7,8,2,6,5,4]=>[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]=>{{1,4,5,6,8},{2,3},{7}}=>[5,2,1]
[6,1,3,8,2,7,5,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[5,1,8,4,2,7,6,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[8,2,6,1,7,5,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,8,3,7,1,5,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[4,5,8,6,3,1,7,2]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4},{5}}=>[6,1,1]
[6,3,7,1,2,8,5,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>{{1,2,8},{3,4,7},{5,6}}=>[3,3,2]
[6,2,1,8,3,7,5,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[3,5,8,4,7,2,6,1]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,4,6,7,8},{3},{5}}=>[6,1,1]
[3,8,5,4,6,1,2,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[3,8,5,1,6,4,2,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[2,8,5,4,6,1,3,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[2,8,5,4,6,3,1,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[4,5,8,1,7,6,2,3]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4},{5}}=>[6,1,1]
[3,5,8,4,7,1,6,2]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,4,6,7,8},{3},{5}}=>[6,1,1]
[7,6,1,3,8,4,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[7,2,3,4,8,6,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[7,2,3,1,8,6,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[7,2,3,4,1,6,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[7,3,8,6,1,4,2,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,2,8,6,3,4,1,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,2,3,1,5,6,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[7,2,3,8,5,6,4,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[3,5,8,1,6,7,2,4]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,4,6,7,8},{3},{5}}=>[6,1,1]
[7,1,3,2,5,6,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[7,1,3,8,2,6,5,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[7,6,1,8,5,4,2,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[5,3,7,4,8,2,6,1]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5},{6,7}}=>[4,2,2]
[5,3,7,4,8,1,6,2]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5},{6,7}}=>[4,2,2]
[5,4,8,1,6,2,7,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[5,4,8,2,6,3,7,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[6,8,3,2,1,4,7,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[6,8,2,4,1,3,7,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[6,1,2,7,5,8,4,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>{{1,2,8},{3,7},{4,5,6}}=>[3,3,2]
[6,8,4,1,5,3,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[5,8,2,4,3,7,6,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[6,5,3,8,4,2,7,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[7,4,5,1,6,2,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[8,3,6,1,5,7,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[3,2,7,5,8,6,1,4]=>[1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0]=>{{1,4,5,8},{2,3},{6,7}}=>[4,2,2]
[7,4,3,8,6,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[4,3,6,2,1,8,5,7]=>[1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0]=>{{1,7,8},{2,5,6},{3,4}}=>[3,3,2]
[5,8,4,2,3,6,7,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[8,4,5,3,2,1,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,8,4,2,3,7,5,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[5,8,3,7,2,1,6,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[6,5,3,4,8,7,2,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[7,5,3,8,4,6,2,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[8,5,3,7,4,6,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,8,1,2,3,4,7,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[7,1,2,8,3,6,4,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[7,1,6,2,3,5,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[8,1,6,2,3,5,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,7,2,3,5,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,8,3,7,4,6,2,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[6,8,7,3,4,5,2,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[8,6,1,2,3,4,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,2,3,5,1,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,2,4,5,7,3,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,2,3,7,5,4,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,2,6,3,5,4,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,1,5,2,4,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,2,4,1,5,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,4,1,6,5,3,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,3,6,1,5,4,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,3,2,6,5,4,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,3,2,5,7,4,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,3,1,7,5,4,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,1,3,8,7,5,4,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[3,8,1,5,7,6,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[8,1,3,5,7,6,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,2,7,1,4,5,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,7,3,4,6,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,3,1,7,2,6,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[3,8,2,4,7,6,5,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[2,8,3,7,4,6,5,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[8,2,3,7,1,6,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,2,7,1,3,6,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,7,2,6,4,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,7,5,2,4,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,2,3,7,4,6,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,2,4,3,7,6,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,2,7,3,5,1,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,2,7,4,3,1,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,2,1,5,7,6,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,5,2,7,6,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,7,2,4,6,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,2,4,1,7,6,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,1,8,7,2,6,4,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[5,8,1,3,7,6,2,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[8,2,5,4,1,7,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,1,4,8,7,6,3,2]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>{{1,2,6,7,8},{3,4,5}}=>[5,3]
[8,1,4,3,7,6,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,3,2,8,5,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[4,1,2,8,5,3,6,7]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>{{1,5,6,7,8},{2,3,4}}=>[5,3]
[3,5,8,2,6,1,7,4]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,4,6,7,8},{3},{5}}=>[6,1,1]
[4,1,2,7,8,5,3,6]=>[1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]=>{{1,5,6,8},{2,3,4},{7}}=>[4,3,1]
[3,8,5,6,4,2,7,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[5,6,2,7,3,4,8,1]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>{{1,8},{2,3,7},{4,6},{5}}=>[3,2,2,1]
[7,4,6,2,8,3,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[2,1,5,7,8,3,6,4]=>[1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0]=>{{1,2},{3,4,6,8},{5},{7}}=>[4,2,1,1]
[7,3,2,5,8,1,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[5,2,8,4,1,6,3,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[5,7,1,3,2,4,8,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,6,7},{5}}=>[5,2,1]
[8,1,7,4,2,3,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,5,1,7,4,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,6,4,1,3,5,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[8,2,3,7,1,4,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[3,7,8,2,6,1,4,5]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,4,5,6,8},{3},{7}}=>[6,1,1]
[3,7,8,5,2,1,4,6]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,4,5,6,8},{3},{7}}=>[6,1,1]
[3,8,7,6,5,1,2,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[5,8,2,6,1,4,7,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[3,8,7,5,6,1,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[7,4,6,5,1,3,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[2,8,4,1,5,7,6,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[2,8,5,4,1,7,6,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[7,8,2,4,1,6,5,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[2,8,4,5,1,7,6,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[3,5,8,1,7,6,2,4]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,4,6,7,8},{3},{5}}=>[6,1,1]
[3,5,8,2,7,6,1,4]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,4,6,7,8},{3},{5}}=>[6,1,1]
[2,1,6,8,7,5,3,4]=>[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]=>{{1,2},{3,4,5,7,8},{6}}=>[5,2,1]
[3,2,8,1,5,7,6,4]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,4,5,6,7,8},{2,3}}=>[6,2]
[3,1,8,2,5,7,6,4]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,4,5,6,7,8},{2,3}}=>[6,2]
[2,1,8,3,5,7,6,4]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>{{1,2},{3,4,5,6,7,8}}=>[6,2]
[7,8,2,1,4,6,5,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[3,8,4,5,1,6,2,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[8,1,4,7,6,3,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,3,1,6,4,7,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,3,8,6,2,7,1,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[8,3,6,1,5,7,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,4,6,3,1,2,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,8,1,4,5,2,3,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[8,7,1,5,6,2,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,1,2,7,6,8,3,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>{{1,2,8},{3,4,5},{6,7}}=>[3,3,2]
[5,7,8,1,2,6,3,4]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,6,8},{5},{7}}=>[6,1,1]
[8,1,5,7,6,2,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,8,6,1,5,2,3,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[3,7,8,1,4,6,5,2]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,4,5,6,8},{3},{7}}=>[6,1,1]
[7,3,5,1,4,2,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[5,4,7,1,3,2,8,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>{{1,8},{2,3,6,7},{4,5}}=>[4,2,2]
[8,7,4,3,1,5,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,1,4,3,5,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,6,8,2,5,3,4,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[5,7,8,2,3,6,1,4]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,6,8},{5},{7}}=>[6,1,1]
[2,8,7,4,1,5,6,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[8,6,2,1,5,7,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[3,8,6,7,5,2,1,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[6,1,3,7,5,8,2,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>{{1,2,8},{3,7},{4,5,6}}=>[3,3,2]
[2,8,3,7,6,1,4,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[7,6,4,8,5,1,3,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[7,2,6,5,8,1,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[6,3,2,8,5,4,1,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[3,8,4,1,5,2,6,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[2,8,6,1,7,4,3,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[8,5,2,6,1,3,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,2,1,5,6,3,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[2,8,5,1,6,4,7,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[5,2,3,1,4,8,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>{{1,2,3,4,5},{6,7,8}}=>[5,3]
[5,4,1,3,2,8,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>{{1,2,3,4,5},{6,7,8}}=>[5,3]
[5,1,3,4,2,8,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>{{1,2,3,4,5},{6,7,8}}=>[5,3]
[5,3,1,2,4,8,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>{{1,2,3,4,5},{6,7,8}}=>[5,3]
[8,3,1,4,2,6,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,8,7,3,5,2,4,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[8,3,5,1,2,6,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,3,1,5,4,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,4,1,5,3,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,5,4,1,3,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,3,8,7,4,6,2,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[8,3,5,7,4,1,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,8,7,3,1,5,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[6,8,5,4,1,3,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[3,8,7,5,1,6,2,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[2,8,7,1,3,6,4,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[8,5,4,7,2,1,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,8,7,3,5,2,1,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[3,5,8,6,4,2,7,1]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,4,6,7,8},{3},{5}}=>[6,1,1]
[6,8,4,1,5,2,7,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[6,8,2,1,7,5,3,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[5,8,4,6,1,2,7,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[2,8,3,5,6,7,1,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[5,6,2,4,7,1,8,3]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0]=>{{1,8},{2,7},{3,4,6},{5}}=>[3,2,2,1]
[8,7,5,6,1,3,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,4,5,7,2,6,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,7,5,3,6,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,2,8,3,6,1,4,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[5,7,6,1,2,3,8,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,6,7},{5}}=>[5,2,1]
[5,3,2,1,8,6,4,7]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>{{1,6,7,8},{2,3,4,5}}=>[4,4]
[3,8,6,4,5,7,2,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[4,3,6,2,1,8,7,5]=>[1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0]=>{{1,7,8},{2,5,6},{3,4}}=>[3,3,2]
[7,5,4,8,6,3,1,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[8,3,7,4,1,6,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,4,1,6,3,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,2,1,5,6,7,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,3,1,8,4,7,2,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[7,1,4,8,6,3,2,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[6,3,7,4,8,2,1,5]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,7},{5,6}}=>[4,2,2]
[5,3,7,4,8,2,1,6]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5},{6,7}}=>[4,2,2]
[5,3,8,4,1,6,2,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[5,3,8,1,4,7,2,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[5,8,4,1,6,3,2,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[7,3,8,4,1,6,2,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,8,4,1,6,5,2,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[8,3,1,2,5,7,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,4,2,6,5,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[3,8,5,6,2,7,1,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[2,1,5,8,6,7,4,3]=>[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>{{1,2},{3,4,6,7,8},{5}}=>[5,2,1]
[5,3,8,6,4,7,2,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4,5}}=>[6,2]
[3,8,4,6,1,7,2,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[3,8,5,6,4,7,2,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[3,8,6,5,2,7,4,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[3,8,7,5,2,1,4,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[4,1,2,7,5,8,3,6]=>[1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0]=>{{1,5,8},{2,3,4},{6,7}}=>[3,3,2]
[6,1,3,5,8,2,4,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[6,2,3,5,8,1,4,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[6,7,2,3,8,4,5,1]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,7},{6}}=>[4,3,1]
[6,7,2,1,3,8,4,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>{{1,2,8},{3,4,5,7},{6}}=>[4,3,1]
[6,7,1,3,8,4,5,2]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,7},{6}}=>[4,3,1]
[6,1,7,4,2,8,5,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>{{1,2,8},{3,4,7},{5,6}}=>[3,3,2]
[6,7,3,2,1,8,4,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>{{1,2,8},{3,4,5,7},{6}}=>[4,3,1]
[6,7,3,2,8,4,5,1]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,7},{6}}=>[4,3,1]
[6,7,1,8,4,5,3,2]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,7},{6}}=>[5,2,1]
[8,6,1,5,4,3,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[3,8,7,2,4,6,5,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[3,1,8,7,6,4,2,5]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,4,5,6,7,8},{2,3}}=>[6,2]
[3,1,8,7,5,4,2,6]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,4,5,6,7,8},{2,3}}=>[6,2]
[8,4,1,7,6,3,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,4,1,8,6,3,2,7]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>{{1,2,6,7,8},{3,4,5}}=>[5,3]
[6,4,1,8,5,3,2,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[8,4,1,7,5,3,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,6,1,4,3,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,8,6,1,4,3,2,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[8,7,5,1,4,3,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,5,1,4,3,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,6,3,8,4,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[8,2,7,6,1,4,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,2,7,8,1,4,3,6]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>{{1,2,3,6,8},{4,5},{7}}=>[5,2,1]
[8,2,7,6,1,4,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,1,3,6,8,2,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[8,6,1,7,5,2,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,6,4,1,8,3,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[8,4,1,6,5,2,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[4,1,5,3,7,8,2,6]=>[1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0]=>{{1,6,8},{2,5},{3,4},{7}}=>[3,2,2,1]
[8,1,4,6,5,2,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,2,1,6,7,5,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,7,4,1,8,5,2,3]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,7},{6}}=>[4,3,1]
[8,6,4,1,5,7,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,1,5,4,8,3,2,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[3,2,1,7,5,8,4,6]=>[1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0]=>{{1,2,3},{4,5,8},{6,7}}=>[3,3,2]
[8,1,7,6,4,2,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,4,6,5,1,2,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[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]=>{{1,6,8},{2,5},{3,4},{7}}=>[3,2,2,1]
[3,5,8,6,1,4,2,7]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,4,6,7,8},{3},{5}}=>[6,1,1]
[3,7,2,8,1,5,4,6]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,4,5,8},{3},{6,7}}=>[5,2,1]
[7,3,8,1,6,5,4,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,3,8,6,1,5,4,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[5,4,7,8,2,1,6,3]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>{{1,2,3,6,8},{4,5},{7}}=>[5,2,1]
[8,1,2,6,3,7,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,2,7,6,3,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,4,3,1,6,2,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[7,4,3,1,8,6,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[6,8,3,2,1,7,4,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[5,1,2,6,3,8,7,4]=>[1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0]=>{{1,7,8},{2,6},{3,4,5}}=>[3,3,2]
[5,1,2,7,3,8,6,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>{{1,2,8},{3,4,5},{6,7}}=>[3,3,2]
[8,4,3,2,7,6,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[3,2,7,4,8,6,1,5]=>[1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0]=>{{1,4,5,8},{2,3},{6,7}}=>[4,2,2]
[7,4,3,2,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[6,4,3,8,5,2,1,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[8,2,5,4,7,6,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,2,5,4,8,6,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[3,2,5,4,8,6,1,7]=>[1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0]=>{{1,6,7,8},{2,3},{4,5}}=>[4,2,2]
[3,2,8,6,5,4,1,7]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,4,5,6,7,8},{2,3}}=>[6,2]
[8,4,3,6,5,2,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,4,3,7,5,2,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[3,2,7,8,5,4,1,6]=>[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]=>{{1,4,5,6,8},{2,3},{7}}=>[5,2,1]
[6,8,7,4,3,2,1,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[6,3,2,1,8,7,4,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[6,2,3,1,8,7,4,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[7,2,1,5,8,4,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[6,7,1,4,3,8,5,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>{{1,2,8},{3,4,5,7},{6}}=>[4,3,1]
[7,1,6,4,8,3,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[8,5,3,6,1,7,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,6,1,2,7,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[3,6,4,1,5,2,8,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]=>{{1,2,4,5,6},{3},{7,8}}=>[5,2,1]
[3,7,1,8,2,5,4,6]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,4,5,8},{3},{6,7}}=>[5,2,1]
[4,5,8,6,1,3,7,2]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4},{5}}=>[6,1,1]
[4,5,8,6,2,7,3,1]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4},{5}}=>[6,1,1]
[4,5,8,3,7,1,2,6]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4},{5}}=>[6,1,1]
[4,5,8,3,7,2,1,6]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4},{5}}=>[6,1,1]
[3,7,8,4,6,2,5,1]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,4,5,6,8},{3},{7}}=>[6,1,1]
[3,8,2,5,4,7,1,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[3,8,6,2,5,1,7,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[4,5,8,6,2,1,7,3]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4},{5}}=>[6,1,1]
[4,5,8,6,1,2,7,3]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4},{5}}=>[6,1,1]
[2,1,5,8,6,3,7,4]=>[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>{{1,2},{3,4,6,7,8},{5}}=>[5,2,1]
[3,7,8,5,2,6,1,4]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,4,5,6,8},{3},{7}}=>[6,1,1]
[3,7,8,5,4,1,6,2]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,4,5,6,8},{3},{7}}=>[6,1,1]
[7,8,2,3,5,4,1,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[5,7,3,1,2,4,8,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,6,7},{5}}=>[5,2,1]
[6,1,2,4,8,5,3,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[3,7,2,8,5,1,4,6]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>{{1,2,4,5,8},{3},{6,7}}=>[5,2,1]
[6,8,4,3,1,7,2,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[8,4,1,3,7,5,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[2,1,6,8,5,3,4,7]=>[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]=>{{1,2},{3,4,5,7,8},{6}}=>[5,2,1]
[5,7,8,3,6,1,2,4]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,6,8},{5},{7}}=>[6,1,1]
[7,1,5,6,2,3,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[8,2,1,4,6,7,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,2,6,1,3,4,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[8,6,1,3,5,7,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,8,4,1,5,6,2,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[5,8,1,3,6,7,2,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[2,8,4,3,7,1,5,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[3,8,4,6,7,1,2,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[7,1,3,8,2,4,5,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[8,1,3,7,2,4,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,3,1,4,7,2,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,5,4,8,6,1,2,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[8,2,6,7,5,1,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,7,4,6,2,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[4,5,8,7,1,2,3,6]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4},{5}}=>[6,1,1]
[8,7,4,3,1,5,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,2,5,1,4,6,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[3,8,4,5,1,6,7,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[8,5,4,1,3,6,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,3,1,7,5,6,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,4,7,6,5,3,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,3,7,5,6,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,4,5,7,6,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,2,1,4,7,6,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,3,1,7,4,2,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,2,7,3,1,6,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,1,2,4,3,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[2,8,3,7,4,1,6,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[8,1,3,4,6,7,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[3,8,2,5,7,4,6,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[8,4,2,1,7,5,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,2,7,5,6,4,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,8,5,4,1,7,2,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[2,8,1,5,7,6,3,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[3,1,8,2,7,5,6,4]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,4,5,6,7,8},{2,3}}=>[6,2]
[8,5,7,1,6,4,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,4,7,6,5,1,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[2,8,4,7,3,6,5,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[8,4,7,2,1,6,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,2,5,7,1,4,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[3,5,8,1,7,4,6,2]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,4,6,7,8},{3},{5}}=>[6,1,1]
[8,4,7,1,3,6,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,1,7,8,3,4,2,6]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>{{1,2,3,6,8},{4,5},{7}}=>[5,2,1]
[5,3,6,1,4,2,8,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]=>{{1,2,3,6},{4,5},{7,8}}=>[4,2,2]
[5,7,2,1,4,3,8,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,6,7},{5}}=>[5,2,1]
[7,1,8,3,5,2,4,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,2,4,8,1,5,6,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[7,1,8,4,2,5,6,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[6,4,2,5,8,1,7,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>{{1,2,7,8},{3,4,5,6}}=>[4,4]
[2,1,7,5,8,3,6,4]=>[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>{{1,2},{3,4,5,8},{6,7}}=>[4,2,2]
[7,3,8,5,6,2,1,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,4,8,3,1,5,6,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[6,1,5,8,3,7,4,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[6,8,1,2,5,7,4,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[8,6,5,3,7,2,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,4,8,6,5,3,2,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,8,4,1,3,5,6,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,8,3,4,1,5,6,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,3,1,8,2,5,6,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[7,2,3,8,1,5,6,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[7,2,1,8,3,5,6,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[6,8,1,5,4,2,7,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,7,8},{6}}=>[7,1]
[7,8,6,3,1,4,2,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,8,6,3,5,1,2,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,2,8,5,4,6,3,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[5,8,4,6,3,2,7,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[5,4,3,8,6,2,7,1]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>{{1,2,6,7,8},{3,4,5}}=>[5,3]
[5,7,8,2,4,3,6,1]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>{{1,2,3,4,6,8},{5},{7}}=>[6,1,1]
[5,4,2,8,6,3,7,1]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>{{1,2,6,7,8},{3,4,5}}=>[5,3]
[5,7,4,2,6,3,8,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,6,7},{5}}=>[5,2,1]
[5,3,7,2,8,4,6,1]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5},{6,7}}=>[4,2,2]
[7,5,3,2,6,4,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[5,7,3,2,6,4,8,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,6,7},{5}}=>[5,2,1]
[5,3,2,8,6,4,7,1]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>{{1,2,6,7,8},{3,4,5}}=>[5,3]
[8,5,2,6,7,3,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,4,2,6,3,7,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,5,6,2,8,3,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[8,7,2,6,5,1,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,8,3,2,1,7,6,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[5,4,3,8,1,7,6,2]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>{{1,2,6,7,8},{3,4,5}}=>[5,3]
[6,5,3,8,7,1,4,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>{{1,2,3,7,8},{4,5,6}}=>[5,3]
[7,8,2,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[3,8,7,6,2,5,1,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[8,6,3,1,7,5,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,3,7,1,5,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,8,2,7,6,4,1,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[8,4,2,1,7,6,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,7,3,1,8,5,2,4]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,7},{6}}=>[4,3,1]
[8,3,5,1,7,6,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,2,4,8,6,3,1,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[8,5,3,6,2,1,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,2,3,1,7,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,4,2,7,6,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[2,8,4,6,7,1,3,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[5,8,2,1,4,6,7,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[3,7,8,4,2,6,5,1]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>{{1,2,4,5,6,8},{3},{7}}=>[6,1,1]
[7,1,3,8,4,5,6,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[7,8,1,4,3,5,6,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[3,8,2,4,7,1,6,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[6,7,2,8,3,1,4,5]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,7},{6}}=>[5,2,1]
[7,8,5,2,4,1,3,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[4,1,3,7,8,5,2,6]=>[1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]=>{{1,5,6,8},{2,3,4},{7}}=>[4,3,1]
[4,3,1,8,5,2,7,6]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>{{1,5,6,7,8},{2,3,4}}=>[5,3]
[3,1,8,5,4,2,7,6]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>{{1,4,5,6,7,8},{2,3}}=>[6,2]
[2,8,7,4,5,1,6,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,3,4,5,6,7,8},{2}}=>[7,1]
[8,6,2,4,1,5,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,3,2,1,6,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,2,5,3,6,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,2,6,4,3,5,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,3,1,4,6,5,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[5,8,3,1,2,6,4,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[8,5,1,4,2,6,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,4,1,3,5,6,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,3,2,1,6,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,5,4,2,6,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,2,4,1,6,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,6,8,4,1,3,2,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,6,8,4,1,3,5,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[8,4,2,7,5,1,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[3,8,7,5,4,1,2,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[7,6,8,4,1,5,2,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[8,7,6,1,5,2,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,1,4,8,6,3,5,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[8,1,6,5,3,4,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,2,5,3,4,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,5,1,3,4,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,5,1,3,6,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,1,5,3,6,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,1,3,5,4,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,6,3,5,4,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,1,4,8,3,6,5,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[8,3,2,7,4,6,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,8,5,2,4,3,6,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,3,8,2,5,4,6,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[8,4,2,5,3,7,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,4,8,2,6,3,5,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[7,4,8,2,6,3,1,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[8,7,3,1,6,4,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,3,1,6,4,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,3,1,4,6,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,4,3,2,7,5,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[6,4,1,7,8,5,3,2]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6},{7}}=>[4,3,1]
[8,7,3,1,6,2,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,8,6,4,2,5,1,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[7,8,2,4,6,5,1,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,8},{7}}=>[7,1]
[8,1,7,3,5,6,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,1,6,5,2,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,5,2,4,6,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,7,5,4,6,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,3,2,6,1,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,7,6,5,2,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,2,6,5,1,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,2,5,7,4,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,1,3,6,8,5,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,6,7}}=>[4,4]
[8,1,7,6,4,5,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,1,8,6,4,5,3,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>{{1,2,3,4,5,8},{6,7}}=>[6,2]
[6,5,7,2,8,3,4,1]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,7},{5,6}}=>[4,2,2]
[6,7,2,5,8,1,4,3]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,5,7},{6}}=>[4,3,1]
[6,3,7,5,8,2,4,1]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,7},{5,6}}=>[4,2,2]
[6,5,7,3,8,1,4,2]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,7},{5,6}}=>[4,2,2]
[6,3,7,4,8,2,5,1]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,7},{5,6}}=>[4,2,2]
[6,3,7,4,8,1,5,2]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,7},{5,6}}=>[4,2,2]
[6,2,7,4,8,1,5,3]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>{{1,2,3,8},{4,7},{5,6}}=>[4,2,2]
[5,8,2,7,6,1,3,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>{{1,2,3,4,6,7,8},{5}}=>[7,1]
[2,1,4,7,8,5,3,6]=>[1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0]=>{{1,2},{3,5,6,8},{4},{7}}=>[4,2,1,1]
[1,3,2,8,6,5,4,7]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>{{1},{2,3},{4,5,6,7,8}}=>[5,2,1]
[8,4,6,7,5,2,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,7,6,4,3,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,7,2,5,6,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,3,5,2,7,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,7,4,3,6,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,2,4,3,7,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,4,5,6,3,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,4,5,6,2,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,1,4,7,6,2,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,2,4,7,3,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,4,7,3,5,2,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,4,5,3,7,6,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,2,1,6,3,4,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[7,3,4,1,6,5,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>{{1,8},{2,3,4,5,6,7}}=>[6,2]
[3,8,7,1,6,2,5,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[3,8,7,1,4,5,2,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>{{1,2,4,5,6,7,8},{3}}=>[7,1]
[8,4,5,7,3,2,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,3,7,2,4,1,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,6,7,2,1,4,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,3,7,5,1,2,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[4,5,8,7,6,1,3,2]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>{{1,2,3,6,7,8},{4},{5}}=>[6,1,1]
[8,6,3,7,5,1,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,3,5,6,1,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,6,3,8,1,4,5,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[8,5,2,7,6,1,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[7,6,4,8,1,2,5,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>{{1,2,3,4,8},{5,6,7}}=>[5,3]
[8,7,3,1,4,5,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,4,2,5,1,6,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,5,3,1,6,4,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,3,1,4,5,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>{{1,2,3,4,5,6,7,8}}=>[8]
[8,7,4,1,5,6,