Identifier
Mp00126:
Permutations
—cactus evacuation⟶
Permutations
Mp00240: Permutations —weak exceedance partition⟶ Set partitions
Mp00112: Set partitions —complement⟶ Set partitions
Mp00240: Permutations —weak exceedance partition⟶ Set partitions
Mp00112: Set partitions —complement⟶ Set partitions
Images
=>
Cc0009;cc-rep-2Cc0009;cc-rep-3
[1]=>[1]=>{{1}}=>{{1}}
[1,2]=>[1,2]=>{{1},{2}}=>{{1},{2}}
[2,1]=>[2,1]=>{{1,2}}=>{{1,2}}
[1,2,3]=>[1,2,3]=>{{1},{2},{3}}=>{{1},{2},{3}}
[1,3,2]=>[3,1,2]=>{{1,3},{2}}=>{{1,3},{2}}
[2,1,3]=>[2,3,1]=>{{1,2,3}}=>{{1,2,3}}
[2,3,1]=>[2,1,3]=>{{1,2},{3}}=>{{1},{2,3}}
[3,1,2]=>[1,3,2]=>{{1},{2,3}}=>{{1,2},{3}}
[3,2,1]=>[3,2,1]=>{{1,3},{2}}=>{{1,3},{2}}
[1,2,3,4]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[1,2,4,3]=>[4,1,2,3]=>{{1,4},{2},{3}}=>{{1,4},{2},{3}}
[1,3,2,4]=>[1,3,2,4]=>{{1},{2,3},{4}}=>{{1},{2,3},{4}}
[1,3,4,2]=>[3,1,2,4]=>{{1,3},{2},{4}}=>{{1},{2,4},{3}}
[1,4,2,3]=>[1,4,2,3]=>{{1},{2,4},{3}}=>{{1,3},{2},{4}}
[1,4,3,2]=>[4,3,1,2]=>{{1,4},{2,3}}=>{{1,4},{2,3}}
[2,1,3,4]=>[2,3,4,1]=>{{1,2,3,4}}=>{{1,2,3,4}}
[2,1,4,3]=>[2,1,4,3]=>{{1,2},{3,4}}=>{{1,2},{3,4}}
[2,3,1,4]=>[2,3,1,4]=>{{1,2,3},{4}}=>{{1},{2,3,4}}
[2,3,4,1]=>[2,1,3,4]=>{{1,2},{3},{4}}=>{{1},{2},{3,4}}
[2,4,1,3]=>[2,4,1,3]=>{{1,2,4},{3}}=>{{1,3,4},{2}}
[2,4,3,1]=>[4,2,1,3]=>{{1,4},{2},{3}}=>{{1,4},{2},{3}}
[3,1,2,4]=>[1,3,4,2]=>{{1},{2,3,4}}=>{{1,2,3},{4}}
[3,1,4,2]=>[3,1,4,2]=>{{1,3,4},{2}}=>{{1,2,4},{3}}
[3,2,1,4]=>[3,4,2,1]=>{{1,3},{2,4}}=>{{1,3},{2,4}}
[3,2,4,1]=>[3,2,4,1]=>{{1,3,4},{2}}=>{{1,2,4},{3}}
[3,4,1,2]=>[3,4,1,2]=>{{1,3},{2,4}}=>{{1,3},{2,4}}
[3,4,2,1]=>[3,2,1,4]=>{{1,3},{2},{4}}=>{{1},{2,4},{3}}
[4,1,2,3]=>[1,2,4,3]=>{{1},{2},{3,4}}=>{{1,2},{3},{4}}
[4,1,3,2]=>[4,1,3,2]=>{{1,4},{2},{3}}=>{{1,4},{2},{3}}
[4,2,1,3]=>[2,4,3,1]=>{{1,2,4},{3}}=>{{1,3,4},{2}}
[4,2,3,1]=>[4,2,3,1]=>{{1,4},{2},{3}}=>{{1,4},{2},{3}}
[4,3,1,2]=>[1,4,3,2]=>{{1},{2,4},{3}}=>{{1,3},{2},{4}}
[4,3,2,1]=>[4,3,2,1]=>{{1,4},{2,3}}=>{{1,4},{2,3}}
[1,2,3,4,5]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[1,2,3,5,4]=>[5,1,2,3,4]=>{{1,5},{2},{3},{4}}=>{{1,5},{2},{3},{4}}
[1,2,4,3,5]=>[1,4,2,3,5]=>{{1},{2,4},{3},{5}}=>{{1},{2,4},{3},{5}}
[1,2,4,5,3]=>[4,1,2,3,5]=>{{1,4},{2},{3},{5}}=>{{1},{2,5},{3},{4}}
[1,2,5,3,4]=>[1,5,2,3,4]=>{{1},{2,5},{3},{4}}=>{{1,4},{2},{3},{5}}
[1,2,5,4,3]=>[5,4,1,2,3]=>{{1,5},{2,4},{3}}=>{{1,5},{2,4},{3}}
[1,3,2,4,5]=>[1,3,4,2,5]=>{{1},{2,3,4},{5}}=>{{1},{2,3,4},{5}}
[1,3,2,5,4]=>[3,1,5,2,4]=>{{1,3,5},{2},{4}}=>{{1,3,5},{2},{4}}
[1,3,4,2,5]=>[1,3,2,4,5]=>{{1},{2,3},{4},{5}}=>{{1},{2},{3,4},{5}}
[1,3,4,5,2]=>[3,1,2,4,5]=>{{1,3},{2},{4},{5}}=>{{1},{2},{3,5},{4}}
[1,3,5,2,4]=>[3,5,1,2,4]=>{{1,3},{2,5},{4}}=>{{1,4},{2},{3,5}}
[1,3,5,4,2]=>[5,3,1,2,4]=>{{1,5},{2,3},{4}}=>{{1,5},{2},{3,4}}
[1,4,2,3,5]=>[1,2,4,3,5]=>{{1},{2},{3,4},{5}}=>{{1},{2,3},{4},{5}}
[1,4,2,5,3]=>[4,1,5,2,3]=>{{1,4},{2},{3,5}}=>{{1,3},{2,5},{4}}
[1,4,3,2,5]=>[1,4,3,2,5]=>{{1},{2,4},{3},{5}}=>{{1},{2,4},{3},{5}}
[1,4,3,5,2]=>[4,1,3,2,5]=>{{1,4},{2},{3},{5}}=>{{1},{2,5},{3},{4}}
[1,4,5,2,3]=>[4,5,1,2,3]=>{{1,4},{2,5},{3}}=>{{1,4},{2,5},{3}}
[1,4,5,3,2]=>[4,3,1,2,5]=>{{1,4},{2,3},{5}}=>{{1},{2,5},{3,4}}
[1,5,2,3,4]=>[1,2,5,3,4]=>{{1},{2},{3,5},{4}}=>{{1,3},{2},{4},{5}}
[1,5,2,4,3]=>[5,1,4,2,3]=>{{1,5},{2},{3,4}}=>{{1,5},{2,3},{4}}
[1,5,3,2,4]=>[1,5,3,2,4]=>{{1},{2,5},{3},{4}}=>{{1,4},{2},{3},{5}}
[1,5,3,4,2]=>[5,1,3,2,4]=>{{1,5},{2},{3},{4}}=>{{1,5},{2},{3},{4}}
[1,5,4,2,3]=>[1,5,4,2,3]=>{{1},{2,5},{3,4}}=>{{1,4},{2,3},{5}}
[1,5,4,3,2]=>[5,4,3,1,2]=>{{1,5},{2,4},{3}}=>{{1,5},{2,4},{3}}
[2,1,3,4,5]=>[2,3,4,5,1]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[2,1,3,5,4]=>[2,1,3,5,4]=>{{1,2},{3},{4,5}}=>{{1,2},{3},{4,5}}
[2,1,4,3,5]=>[2,4,1,5,3]=>{{1,2,4,5},{3}}=>{{1,2,4,5},{3}}
[2,1,4,5,3]=>[2,1,4,5,3]=>{{1,2},{3,4,5}}=>{{1,2,3},{4,5}}
[2,1,5,3,4]=>[2,3,1,5,4]=>{{1,2,3},{4,5}}=>{{1,2},{3,4,5}}
[2,1,5,4,3]=>[5,2,1,4,3]=>{{1,5},{2},{3},{4}}=>{{1,5},{2},{3},{4}}
[2,3,1,4,5]=>[2,3,4,1,5]=>{{1,2,3,4},{5}}=>{{1},{2,3,4,5}}
[2,3,1,5,4]=>[2,1,5,3,4]=>{{1,2},{3,5},{4}}=>{{1,3},{2},{4,5}}
[2,3,4,1,5]=>[2,3,1,4,5]=>{{1,2,3},{4},{5}}=>{{1},{2},{3,4,5}}
[2,3,4,5,1]=>[2,1,3,4,5]=>{{1,2},{3},{4},{5}}=>{{1},{2},{3},{4,5}}
[2,3,5,1,4]=>[2,5,1,3,4]=>{{1,2,5},{3},{4}}=>{{1,4,5},{2},{3}}
[2,3,5,4,1]=>[5,2,1,3,4]=>{{1,5},{2},{3},{4}}=>{{1,5},{2},{3},{4}}
[2,4,1,3,5]=>[2,4,5,1,3]=>{{1,2,4},{3,5}}=>{{1,3},{2,4,5}}
[2,4,1,5,3]=>[2,1,4,3,5]=>{{1,2},{3,4},{5}}=>{{1},{2,3},{4,5}}
[2,4,3,1,5]=>[2,4,3,1,5]=>{{1,2,4},{3},{5}}=>{{1},{2,4,5},{3}}
[2,4,3,5,1]=>[4,2,3,1,5]=>{{1,4},{2},{3},{5}}=>{{1},{2,5},{3},{4}}
[2,4,5,1,3]=>[2,4,1,3,5]=>{{1,2,4},{3},{5}}=>{{1},{2,4,5},{3}}
[2,4,5,3,1]=>[4,2,1,3,5]=>{{1,4},{2},{3},{5}}=>{{1},{2,5},{3},{4}}
[2,5,1,3,4]=>[2,3,5,1,4]=>{{1,2,3,5},{4}}=>{{1,3,4,5},{2}}
[2,5,1,4,3]=>[5,2,4,1,3]=>{{1,5},{2},{3,4}}=>{{1,5},{2,3},{4}}
[2,5,3,1,4]=>[2,5,3,1,4]=>{{1,2,5},{3},{4}}=>{{1,4,5},{2},{3}}
[2,5,3,4,1]=>[5,2,3,1,4]=>{{1,5},{2},{3},{4}}=>{{1,5},{2},{3},{4}}
[2,5,4,1,3]=>[2,5,4,1,3]=>{{1,2,5},{3,4}}=>{{1,4,5},{2,3}}
[2,5,4,3,1]=>[5,4,2,1,3]=>{{1,5},{2,4},{3}}=>{{1,5},{2,4},{3}}
[3,1,2,4,5]=>[1,3,4,5,2]=>{{1},{2,3,4,5}}=>{{1,2,3,4},{5}}
[3,1,2,5,4]=>[3,1,2,5,4]=>{{1,3},{2},{4,5}}=>{{1,2},{3,5},{4}}
[3,1,4,2,5]=>[3,4,1,5,2]=>{{1,3},{2,4,5}}=>{{1,2,4},{3,5}}
[3,1,4,5,2]=>[3,1,4,5,2]=>{{1,3,4,5},{2}}=>{{1,2,3,5},{4}}
[3,1,5,2,4]=>[1,3,2,5,4]=>{{1},{2,3},{4,5}}=>{{1,2},{3,4},{5}}
[3,1,5,4,2]=>[5,3,1,4,2]=>{{1,5},{2,3},{4}}=>{{1,5},{2},{3,4}}
[3,2,1,4,5]=>[3,4,5,2,1]=>{{1,3,5},{2,4}}=>{{1,3,5},{2,4}}
[3,2,1,5,4]=>[3,2,5,4,1]=>{{1,3,5},{2},{4}}=>{{1,3,5},{2},{4}}
[3,2,4,1,5]=>[3,4,2,5,1]=>{{1,3},{2,4,5}}=>{{1,2,4},{3,5}}
[3,2,4,5,1]=>[3,2,4,5,1]=>{{1,3,4,5},{2}}=>{{1,2,3,5},{4}}
[3,2,5,1,4]=>[3,5,2,4,1]=>{{1,3},{2,5},{4}}=>{{1,4},{2},{3,5}}
[3,2,5,4,1]=>[3,2,1,5,4]=>{{1,3},{2},{4,5}}=>{{1,2},{3,5},{4}}
[3,4,1,2,5]=>[3,4,5,1,2]=>{{1,3,5},{2,4}}=>{{1,3,5},{2,4}}
[3,4,1,5,2]=>[3,1,4,2,5]=>{{1,3,4},{2},{5}}=>{{1},{2,3,5},{4}}
[3,4,2,1,5]=>[3,4,2,1,5]=>{{1,3},{2,4},{5}}=>{{1},{2,4},{3,5}}
[3,4,2,5,1]=>[3,2,4,1,5]=>{{1,3,4},{2},{5}}=>{{1},{2,3,5},{4}}
[3,4,5,1,2]=>[3,4,1,2,5]=>{{1,3},{2,4},{5}}=>{{1},{2,4},{3,5}}
[3,4,5,2,1]=>[3,2,1,4,5]=>{{1,3},{2},{4},{5}}=>{{1},{2},{3,5},{4}}
[3,5,1,2,4]=>[1,3,5,2,4]=>{{1},{2,3,5},{4}}=>{{1,3,4},{2},{5}}
[3,5,1,4,2]=>[5,3,4,1,2]=>{{1,5},{2,3,4}}=>{{1,5},{2,3,4}}
[3,5,2,1,4]=>[3,5,2,1,4]=>{{1,3},{2,5},{4}}=>{{1,4},{2},{3,5}}
[3,5,2,4,1]=>[3,2,5,1,4]=>{{1,3,5},{2},{4}}=>{{1,3,5},{2},{4}}
[3,5,4,1,2]=>[3,5,4,1,2]=>{{1,3,4},{2,5}}=>{{1,4},{2,3,5}}
[3,5,4,2,1]=>[5,3,2,1,4]=>{{1,5},{2,3},{4}}=>{{1,5},{2},{3,4}}
[4,1,2,3,5]=>[1,2,4,5,3]=>{{1},{2},{3,4,5}}=>{{1,2,3},{4},{5}}
[4,1,2,5,3]=>[4,1,2,5,3]=>{{1,4,5},{2},{3}}=>{{1,2,5},{3},{4}}
[4,1,3,2,5]=>[1,4,3,5,2]=>{{1},{2,4,5},{3}}=>{{1,2,4},{3},{5}}
[4,1,3,5,2]=>[4,1,3,5,2]=>{{1,4,5},{2},{3}}=>{{1,2,5},{3},{4}}
[4,1,5,2,3]=>[1,4,2,5,3]=>{{1},{2,4,5},{3}}=>{{1,2,4},{3},{5}}
[4,1,5,3,2]=>[4,3,1,5,2]=>{{1,4,5},{2,3}}=>{{1,2,5},{3,4}}
[4,2,1,3,5]=>[2,4,5,3,1]=>{{1,2,4},{3,5}}=>{{1,3},{2,4,5}}
[4,2,1,5,3]=>[4,2,5,3,1]=>{{1,4},{2},{3,5}}=>{{1,3},{2,5},{4}}
[4,2,3,1,5]=>[2,4,3,5,1]=>{{1,2,4,5},{3}}=>{{1,2,4,5},{3}}
[4,2,3,5,1]=>[4,2,3,5,1]=>{{1,4,5},{2},{3}}=>{{1,2,5},{3},{4}}
[4,2,5,1,3]=>[4,5,2,3,1]=>{{1,4},{2,5},{3}}=>{{1,4},{2,5},{3}}
[4,2,5,3,1]=>[4,2,1,5,3]=>{{1,4,5},{2},{3}}=>{{1,2,5},{3},{4}}
[4,3,1,2,5]=>[1,4,5,3,2]=>{{1},{2,4},{3,5}}=>{{1,3},{2,4},{5}}
[4,3,1,5,2]=>[4,1,5,3,2]=>{{1,4},{2},{3,5}}=>{{1,3},{2,5},{4}}
[4,3,2,1,5]=>[4,5,3,2,1]=>{{1,4},{2,5},{3}}=>{{1,4},{2,5},{3}}
[4,3,2,5,1]=>[4,3,5,2,1]=>{{1,4},{2,3,5}}=>{{1,3,4},{2,5}}
[4,3,5,1,2]=>[4,5,1,3,2]=>{{1,4},{2,5},{3}}=>{{1,4},{2,5},{3}}
[4,3,5,2,1]=>[4,3,2,5,1]=>{{1,4,5},{2,3}}=>{{1,2,5},{3,4}}
[4,5,1,2,3]=>[1,4,5,2,3]=>{{1},{2,4},{3,5}}=>{{1,3},{2,4},{5}}
[4,5,1,3,2]=>[4,3,5,1,2]=>{{1,4},{2,3,5}}=>{{1,3,4},{2,5}}
[4,5,2,1,3]=>[4,5,2,1,3]=>{{1,4},{2,5},{3}}=>{{1,4},{2,5},{3}}
[4,5,2,3,1]=>[4,2,5,1,3]=>{{1,4},{2},{3,5}}=>{{1,3},{2,5},{4}}
[4,5,3,1,2]=>[4,5,3,1,2]=>{{1,4},{2,5},{3}}=>{{1,4},{2,5},{3}}
[4,5,3,2,1]=>[4,3,2,1,5]=>{{1,4},{2,3},{5}}=>{{1},{2,5},{3,4}}
[5,1,2,3,4]=>[1,2,3,5,4]=>{{1},{2},{3},{4,5}}=>{{1,2},{3},{4},{5}}
[5,1,2,4,3]=>[5,1,2,4,3]=>{{1,5},{2},{3},{4}}=>{{1,5},{2},{3},{4}}
[5,1,3,2,4]=>[1,5,3,4,2]=>{{1},{2,5},{3},{4}}=>{{1,4},{2},{3},{5}}
[5,1,3,4,2]=>[5,1,3,4,2]=>{{1,5},{2},{3},{4}}=>{{1,5},{2},{3},{4}}
[5,1,4,2,3]=>[1,5,2,4,3]=>{{1},{2,5},{3},{4}}=>{{1,4},{2},{3},{5}}
[5,1,4,3,2]=>[5,4,1,3,2]=>{{1,5},{2,4},{3}}=>{{1,5},{2,4},{3}}
[5,2,1,3,4]=>[2,3,5,4,1]=>{{1,2,3,5},{4}}=>{{1,3,4,5},{2}}
[5,2,1,4,3]=>[2,1,5,4,3]=>{{1,2},{3,5},{4}}=>{{1,3},{2},{4,5}}
[5,2,3,1,4]=>[2,5,3,4,1]=>{{1,2,5},{3},{4}}=>{{1,4,5},{2},{3}}
[5,2,3,4,1]=>[5,2,3,4,1]=>{{1,5},{2},{3},{4}}=>{{1,5},{2},{3},{4}}
[5,2,4,1,3]=>[2,5,1,4,3]=>{{1,2,5},{3},{4}}=>{{1,4,5},{2},{3}}
[5,2,4,3,1]=>[5,4,2,3,1]=>{{1,5},{2,4},{3}}=>{{1,5},{2,4},{3}}
[5,3,1,2,4]=>[1,3,5,4,2]=>{{1},{2,3,5},{4}}=>{{1,3,4},{2},{5}}
[5,3,1,4,2]=>[3,1,5,4,2]=>{{1,3,5},{2},{4}}=>{{1,3,5},{2},{4}}
[5,3,2,1,4]=>[3,5,4,2,1]=>{{1,3,4},{2,5}}=>{{1,4},{2,3,5}}
[5,3,2,4,1]=>[5,3,4,2,1]=>{{1,5},{2,3,4}}=>{{1,5},{2,3,4}}
[5,3,4,1,2]=>[3,5,1,4,2]=>{{1,3},{2,5},{4}}=>{{1,4},{2},{3,5}}
[5,3,4,2,1]=>[5,3,2,4,1]=>{{1,5},{2,3},{4}}=>{{1,5},{2},{3,4}}
[5,4,1,2,3]=>[1,2,5,4,3]=>{{1},{2},{3,5},{4}}=>{{1,3},{2},{4},{5}}
[5,4,1,3,2]=>[5,1,4,3,2]=>{{1,5},{2},{3,4}}=>{{1,5},{2,3},{4}}
[5,4,2,1,3]=>[2,5,4,3,1]=>{{1,2,5},{3,4}}=>{{1,4,5},{2,3}}
[5,4,2,3,1]=>[5,2,4,3,1]=>{{1,5},{2},{3,4}}=>{{1,5},{2,3},{4}}
[5,4,3,1,2]=>[1,5,4,3,2]=>{{1},{2,5},{3,4}}=>{{1,4},{2,3},{5}}
[5,4,3,2,1]=>[5,4,3,2,1]=>{{1,5},{2,4},{3}}=>{{1,5},{2,4},{3}}
[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[1,2,3,4,6,5]=>[6,1,2,3,4,5]=>{{1,6},{2},{3},{4},{5}}=>{{1,6},{2},{3},{4},{5}}
[1,2,3,5,4,6]=>[1,5,2,3,4,6]=>{{1},{2,5},{3},{4},{6}}=>{{1},{2,5},{3},{4},{6}}
[1,2,3,5,6,4]=>[5,1,2,3,4,6]=>{{1,5},{2},{3},{4},{6}}=>{{1},{2,6},{3},{4},{5}}
[1,2,3,6,4,5]=>[1,6,2,3,4,5]=>{{1},{2,6},{3},{4},{5}}=>{{1,5},{2},{3},{4},{6}}
[1,2,3,6,5,4]=>[6,5,1,2,3,4]=>{{1,6},{2,5},{3},{4}}=>{{1,6},{2,5},{3},{4}}
[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>{{1},{2},{3,4},{5},{6}}=>{{1},{2},{3,4},{5},{6}}
[1,2,4,3,6,5]=>[4,1,6,2,3,5]=>{{1,4},{2},{3,6},{5}}=>{{1,4},{2},{3,6},{5}}
[1,2,4,5,3,6]=>[1,4,2,3,5,6]=>{{1},{2,4},{3},{5},{6}}=>{{1},{2},{3,5},{4},{6}}
[1,2,4,5,6,3]=>[4,1,2,3,5,6]=>{{1,4},{2},{3},{5},{6}}=>{{1},{2},{3,6},{4},{5}}
[1,2,4,6,3,5]=>[4,6,1,2,3,5]=>{{1,4},{2,6},{3},{5}}=>{{1,5},{2},{3,6},{4}}
[1,2,4,6,5,3]=>[6,4,1,2,3,5]=>{{1,6},{2,4},{3},{5}}=>{{1,6},{2},{3,5},{4}}
[1,2,5,3,4,6]=>[1,2,5,3,4,6]=>{{1},{2},{3,5},{4},{6}}=>{{1},{2,4},{3},{5},{6}}
[1,2,5,3,6,4]=>[5,1,6,2,3,4]=>{{1,5},{2},{3,6},{4}}=>{{1,4},{2,6},{3},{5}}
[1,2,5,4,3,6]=>[1,5,4,2,3,6]=>{{1},{2,5},{3,4},{6}}=>{{1},{2,5},{3,4},{6}}
[1,2,5,4,6,3]=>[5,1,4,2,3,6]=>{{1,5},{2},{3,4},{6}}=>{{1},{2,6},{3,4},{5}}
[1,2,5,6,3,4]=>[5,6,1,2,3,4]=>{{1,5},{2,6},{3},{4}}=>{{1,5},{2,6},{3},{4}}
[1,2,5,6,4,3]=>[5,4,1,2,3,6]=>{{1,5},{2,4},{3},{6}}=>{{1},{2,6},{3,5},{4}}
[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>{{1},{2},{3,6},{4},{5}}=>{{1,4},{2},{3},{5},{6}}
[1,2,6,3,5,4]=>[6,1,5,2,3,4]=>{{1,6},{2},{3,5},{4}}=>{{1,6},{2,4},{3},{5}}
[1,2,6,4,3,5]=>[1,6,4,2,3,5]=>{{1},{2,6},{3,4},{5}}=>{{1,5},{2},{3,4},{6}}
[1,2,6,4,5,3]=>[6,1,4,2,3,5]=>{{1,6},{2},{3,4},{5}}=>{{1,6},{2},{3,4},{5}}
[1,2,6,5,3,4]=>[1,6,5,2,3,4]=>{{1},{2,6},{3,5},{4}}=>{{1,5},{2,4},{3},{6}}
[1,2,6,5,4,3]=>[6,5,4,1,2,3]=>{{1,6},{2,5},{3,4}}=>{{1,6},{2,5},{3,4}}
[1,3,2,4,5,6]=>[1,3,4,5,2,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
[1,3,2,4,6,5]=>[3,1,2,6,4,5]=>{{1,3},{2},{4,6},{5}}=>{{1,3},{2},{4,6},{5}}
[1,3,2,5,4,6]=>[1,3,2,5,4,6]=>{{1},{2,3},{4,5},{6}}=>{{1},{2,3},{4,5},{6}}
[1,3,2,5,6,4]=>[3,1,2,5,4,6]=>{{1,3},{2},{4,5},{6}}=>{{1},{2,3},{4,6},{5}}
[1,3,2,6,4,5]=>[1,3,2,6,4,5]=>{{1},{2,3},{4,6},{5}}=>{{1,3},{2},{4,5},{6}}
[1,3,2,6,5,4]=>[6,3,1,5,2,4]=>{{1,6},{2,3},{4,5}}=>{{1,6},{2,3},{4,5}}
[1,3,4,2,5,6]=>[1,3,4,2,5,6]=>{{1},{2,3,4},{5},{6}}=>{{1},{2},{3,4,5},{6}}
[1,3,4,2,6,5]=>[3,1,6,2,4,5]=>{{1,3,6},{2},{4},{5}}=>{{1,4,6},{2},{3},{5}}
[1,3,4,5,2,6]=>[1,3,2,4,5,6]=>{{1},{2,3},{4},{5},{6}}=>{{1},{2},{3},{4,5},{6}}
[1,3,4,5,6,2]=>[3,1,2,4,5,6]=>{{1,3},{2},{4},{5},{6}}=>{{1},{2},{3},{4,6},{5}}
[1,3,4,6,2,5]=>[3,6,1,2,4,5]=>{{1,3},{2,6},{4},{5}}=>{{1,5},{2},{3},{4,6}}
[1,3,4,6,5,2]=>[6,3,1,2,4,5]=>{{1,6},{2,3},{4},{5}}=>{{1,6},{2},{3},{4,5}}
[1,3,5,2,4,6]=>[1,3,5,2,4,6]=>{{1},{2,3,5},{4},{6}}=>{{1},{2,4,5},{3},{6}}
[1,3,5,2,6,4]=>[3,1,5,2,4,6]=>{{1,3,5},{2},{4},{6}}=>{{1},{2,4,6},{3},{5}}
[1,3,5,4,2,6]=>[1,5,3,2,4,6]=>{{1},{2,5},{3},{4},{6}}=>{{1},{2,5},{3},{4},{6}}
[1,3,5,4,6,2]=>[5,1,3,2,4,6]=>{{1,5},{2},{3},{4},{6}}=>{{1},{2,6},{3},{4},{5}}
[1,3,5,6,2,4]=>[3,5,1,2,4,6]=>{{1,3},{2,5},{4},{6}}=>{{1},{2,5},{3},{4,6}}
[1,3,5,6,4,2]=>[5,3,1,2,4,6]=>{{1,5},{2,3},{4},{6}}=>{{1},{2,6},{3},{4,5}}
[1,3,6,2,4,5]=>[1,3,6,2,4,5]=>{{1},{2,3,6},{4},{5}}=>{{1,4,5},{2},{3},{6}}
[1,3,6,2,5,4]=>[6,3,5,1,2,4]=>{{1,6},{2,3,5},{4}}=>{{1,6},{2,4,5},{3}}
[1,3,6,4,2,5]=>[1,6,3,2,4,5]=>{{1},{2,6},{3},{4},{5}}=>{{1,5},{2},{3},{4},{6}}
[1,3,6,4,5,2]=>[6,1,3,2,4,5]=>{{1,6},{2},{3},{4},{5}}=>{{1,6},{2},{3},{4},{5}}
[1,3,6,5,2,4]=>[3,6,5,1,2,4]=>{{1,3,5},{2,6},{4}}=>{{1,5},{2,4,6},{3}}
[1,3,6,5,4,2]=>[6,5,3,1,2,4]=>{{1,6},{2,5},{3},{4}}=>{{1,6},{2,5},{3},{4}}
[1,4,2,3,5,6]=>[1,2,4,5,3,6]=>{{1},{2},{3,4,5},{6}}=>{{1},{2,3,4},{5},{6}}
[1,4,2,3,6,5]=>[4,1,2,6,3,5]=>{{1,4,6},{2},{3},{5}}=>{{1,3,6},{2},{4},{5}}
[1,4,2,5,3,6]=>[1,4,2,5,3,6]=>{{1},{2,4,5},{3},{6}}=>{{1},{2,3,5},{4},{6}}
[1,4,2,5,6,3]=>[4,1,2,5,3,6]=>{{1,4,5},{2},{3},{6}}=>{{1},{2,3,6},{4},{5}}
[1,4,2,6,3,5]=>[1,4,2,6,3,5]=>{{1},{2,4,6},{3},{5}}=>{{1,3,5},{2},{4},{6}}
[1,4,2,6,5,3]=>[6,4,1,5,2,3]=>{{1,6},{2,4,5},{3}}=>{{1,6},{2,3,5},{4}}
[1,4,3,2,5,6]=>[1,4,5,3,2,6]=>{{1},{2,4},{3,5},{6}}=>{{1},{2,4},{3,5},{6}}
[1,4,3,2,6,5]=>[4,1,6,3,2,5]=>{{1,4},{2},{3,6},{5}}=>{{1,4},{2},{3,6},{5}}
[1,4,3,5,2,6]=>[1,4,3,5,2,6]=>{{1},{2,4,5},{3},{6}}=>{{1},{2,3,5},{4},{6}}
[1,4,3,5,6,2]=>[4,1,3,5,2,6]=>{{1,4,5},{2},{3},{6}}=>{{1},{2,3,6},{4},{5}}
[1,4,3,6,2,5]=>[4,6,1,3,2,5]=>{{1,4},{2,6},{3},{5}}=>{{1,5},{2},{3,6},{4}}
[1,4,3,6,5,2]=>[4,3,1,6,2,5]=>{{1,4,6},{2,3},{5}}=>{{1,3,6},{2},{4,5}}
[1,4,5,2,3,6]=>[1,4,5,2,3,6]=>{{1},{2,4},{3,5},{6}}=>{{1},{2,4},{3,5},{6}}
[1,4,5,2,6,3]=>[4,1,5,2,3,6]=>{{1,4},{2},{3,5},{6}}=>{{1},{2,4},{3,6},{5}}
[1,4,5,3,2,6]=>[1,4,3,2,5,6]=>{{1},{2,4},{3},{5},{6}}=>{{1},{2},{3,5},{4},{6}}
[1,4,5,3,6,2]=>[4,1,3,2,5,6]=>{{1,4},{2},{3},{5},{6}}=>{{1},{2},{3,6},{4},{5}}
[1,4,5,6,2,3]=>[4,5,1,2,3,6]=>{{1,4},{2,5},{3},{6}}=>{{1},{2,5},{3,6},{4}}
[1,4,5,6,3,2]=>[4,3,1,2,5,6]=>{{1,4},{2,3},{5},{6}}=>{{1},{2},{3,6},{4,5}}
[1,4,6,2,3,5]=>[1,4,6,2,3,5]=>{{1},{2,4},{3,6},{5}}=>{{1,4},{2},{3,5},{6}}
[1,4,6,2,5,3]=>[6,4,5,1,2,3]=>{{1,6},{2,4},{3,5}}=>{{1,6},{2,4},{3,5}}
[1,4,6,3,2,5]=>[4,6,3,1,2,5]=>{{1,4},{2,6},{3},{5}}=>{{1,5},{2},{3,6},{4}}
[1,4,6,3,5,2]=>[4,3,6,1,2,5]=>{{1,4},{2,3,6},{5}}=>{{1,4,5},{2},{3,6}}
[1,4,6,5,2,3]=>[4,6,5,1,2,3]=>{{1,4},{2,6},{3,5}}=>{{1,5},{2,4},{3,6}}
[1,4,6,5,3,2]=>[6,4,3,1,2,5]=>{{1,6},{2,4},{3},{5}}=>{{1,6},{2},{3,5},{4}}
[1,5,2,3,4,6]=>[1,2,3,5,4,6]=>{{1},{2},{3},{4,5},{6}}=>{{1},{2,3},{4},{5},{6}}
[1,5,2,3,6,4]=>[5,1,2,6,3,4]=>{{1,5},{2},{3},{4,6}}=>{{1,3},{2,6},{4},{5}}
[1,5,2,4,3,6]=>[1,5,2,4,3,6]=>{{1},{2,5},{3},{4},{6}}=>{{1},{2,5},{3},{4},{6}}
[1,5,2,4,6,3]=>[5,1,2,4,3,6]=>{{1,5},{2},{3},{4},{6}}=>{{1},{2,6},{3},{4},{5}}
[1,5,2,6,3,4]=>[1,5,2,6,3,4]=>{{1},{2,5},{3},{4,6}}=>{{1,3},{2,5},{4},{6}}
[1,5,2,6,4,3]=>[5,4,1,6,2,3]=>{{1,5},{2,4,6},{3}}=>{{1,3,5},{2,6},{4}}
[1,5,3,2,4,6]=>[1,3,5,4,2,6]=>{{1},{2,3,5},{4},{6}}=>{{1},{2,4,5},{3},{6}}
[1,5,3,2,6,4]=>[5,1,6,3,2,4]=>{{1,5},{2},{3,6},{4}}=>{{1,4},{2,6},{3},{5}}
[1,5,3,4,2,6]=>[1,5,3,4,2,6]=>{{1},{2,5},{3},{4},{6}}=>{{1},{2,5},{3},{4},{6}}
[1,5,3,4,6,2]=>[5,1,3,4,2,6]=>{{1,5},{2},{3},{4},{6}}=>{{1},{2,6},{3},{4},{5}}
[1,5,3,6,2,4]=>[5,6,1,3,2,4]=>{{1,5},{2,6},{3},{4}}=>{{1,5},{2,6},{3},{4}}
[1,5,3,6,4,2]=>[5,3,1,6,2,4]=>{{1,5},{2,3},{4,6}}=>{{1,3},{2,6},{4,5}}
[1,5,4,2,3,6]=>[1,2,5,4,3,6]=>{{1},{2},{3,5},{4},{6}}=>{{1},{2,4},{3},{5},{6}}
[1,5,4,2,6,3]=>[5,1,6,4,2,3]=>{{1,5},{2},{3,6},{4}}=>{{1,4},{2,6},{3},{5}}
[1,5,4,3,2,6]=>[1,5,4,3,2,6]=>{{1},{2,5},{3,4},{6}}=>{{1},{2,5},{3,4},{6}}
[1,5,4,3,6,2]=>[5,1,4,3,2,6]=>{{1,5},{2},{3,4},{6}}=>{{1},{2,6},{3,4},{5}}
[1,5,4,6,2,3]=>[5,6,1,4,2,3]=>{{1,5},{2,6},{3},{4}}=>{{1,5},{2,6},{3},{4}}
[1,5,4,6,3,2]=>[5,4,1,3,2,6]=>{{1,5},{2,4},{3},{6}}=>{{1},{2,6},{3,5},{4}}
[1,5,6,2,3,4]=>[1,5,6,2,3,4]=>{{1},{2,5},{3,6},{4}}=>{{1,4},{2,5},{3},{6}}
[1,5,6,2,4,3]=>[5,4,6,1,2,3]=>{{1,5},{2,4},{3,6}}=>{{1,4},{2,6},{3,5}}
[1,5,6,3,2,4]=>[5,6,3,1,2,4]=>{{1,5},{2,6},{3},{4}}=>{{1,5},{2,6},{3},{4}}
[1,5,6,3,4,2]=>[5,3,6,1,2,4]=>{{1,5},{2,3,6},{4}}=>{{1,4,5},{2,6},{3}}
[1,5,6,4,2,3]=>[5,6,4,1,2,3]=>{{1,5},{2,6},{3,4}}=>{{1,5},{2,6},{3,4}}
[1,5,6,4,3,2]=>[5,4,3,1,2,6]=>{{1,5},{2,4},{3},{6}}=>{{1},{2,6},{3,5},{4}}
[1,6,2,3,4,5]=>[1,2,3,6,4,5]=>{{1},{2},{3},{4,6},{5}}=>{{1,3},{2},{4},{5},{6}}
[1,6,2,3,5,4]=>[6,1,2,5,3,4]=>{{1,6},{2},{3},{4,5}}=>{{1,6},{2,3},{4},{5}}
[1,6,2,4,3,5]=>[1,6,2,4,3,5]=>{{1},{2,6},{3},{4},{5}}=>{{1,5},{2},{3},{4},{6}}
[1,6,2,4,5,3]=>[6,1,2,4,3,5]=>{{1,6},{2},{3},{4},{5}}=>{{1,6},{2},{3},{4},{5}}
[1,6,2,5,3,4]=>[1,6,2,5,3,4]=>{{1},{2,6},{3},{4,5}}=>{{1,5},{2,3},{4},{6}}
[1,6,2,5,4,3]=>[6,5,1,4,2,3]=>{{1,6},{2,5},{3},{4}}=>{{1,6},{2,5},{3},{4}}
[1,6,3,2,4,5]=>[1,3,6,4,2,5]=>{{1},{2,3,6},{4},{5}}=>{{1,4,5},{2},{3},{6}}
[1,6,3,2,5,4]=>[3,1,6,5,2,4]=>{{1,3,6},{2},{4,5}}=>{{1,4,6},{2,3},{5}}
[1,6,3,4,2,5]=>[1,6,3,4,2,5]=>{{1},{2,6},{3},{4},{5}}=>{{1,5},{2},{3},{4},{6}}
[1,6,3,4,5,2]=>[6,1,3,4,2,5]=>{{1,6},{2},{3},{4},{5}}=>{{1,6},{2},{3},{4},{5}}
[1,6,3,5,2,4]=>[3,6,1,5,2,4]=>{{1,3},{2,6},{4,5}}=>{{1,5},{2,3},{4,6}}
[1,6,3,5,4,2]=>[6,5,1,3,2,4]=>{{1,6},{2,5},{3},{4}}=>{{1,6},{2,5},{3},{4}}
[1,6,4,2,3,5]=>[1,2,6,4,3,5]=>{{1},{2},{3,6},{4},{5}}=>{{1,4},{2},{3},{5},{6}}
[1,6,4,2,5,3]=>[4,1,6,5,2,3]=>{{1,4,5},{2},{3,6}}=>{{1,4},{2,3,6},{5}}
[1,6,4,3,2,5]=>[1,6,4,3,2,5]=>{{1},{2,6},{3,4},{5}}=>{{1,5},{2},{3,4},{6}}
[1,6,4,3,5,2]=>[6,1,4,3,2,5]=>{{1,6},{2},{3,4},{5}}=>{{1,6},{2},{3,4},{5}}
[1,6,4,5,2,3]=>[4,6,1,5,2,3]=>{{1,4,5},{2,6},{3}}=>{{1,5},{2,3,6},{4}}
[1,6,4,5,3,2]=>[6,4,1,3,2,5]=>{{1,6},{2,4},{3},{5}}=>{{1,6},{2},{3,5},{4}}
[1,6,5,2,3,4]=>[1,2,6,5,3,4]=>{{1},{2},{3,6},{4,5}}=>{{1,4},{2,3},{5},{6}}
[1,6,5,2,4,3]=>[6,1,5,4,2,3]=>{{1,6},{2},{3,5},{4}}=>{{1,6},{2,4},{3},{5}}
[1,6,5,3,2,4]=>[1,6,5,3,2,4]=>{{1},{2,6},{3,5},{4}}=>{{1,5},{2,4},{3},{6}}
[1,6,5,3,4,2]=>[6,1,5,3,2,4]=>{{1,6},{2},{3,5},{4}}=>{{1,6},{2,4},{3},{5}}
[1,6,5,4,2,3]=>[1,6,5,4,2,3]=>{{1},{2,6},{3,5},{4}}=>{{1,5},{2,4},{3},{6}}
[1,6,5,4,3,2]=>[6,5,4,3,1,2]=>{{1,6},{2,5},{3,4}}=>{{1,6},{2,5},{3,4}}
[2,1,3,4,5,6]=>[2,3,4,5,6,1]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[2,1,3,4,6,5]=>[2,1,3,4,6,5]=>{{1,2},{3},{4},{5,6}}=>{{1,2},{3},{4},{5,6}}
[2,1,3,5,4,6]=>[2,3,1,5,6,4]=>{{1,2,3},{4,5,6}}=>{{1,2,3},{4,5,6}}
[2,1,3,5,6,4]=>[2,1,3,5,6,4]=>{{1,2},{3},{4,5,6}}=>{{1,2,3},{4},{5,6}}
[2,1,3,6,4,5]=>[2,3,1,4,6,5]=>{{1,2,3},{4},{5,6}}=>{{1,2},{3},{4,5,6}}
[2,1,3,6,5,4]=>[6,2,1,3,5,4]=>{{1,6},{2},{3},{4},{5}}=>{{1,6},{2},{3},{4},{5}}
[2,1,4,3,5,6]=>[2,4,5,1,6,3]=>{{1,2,4},{3,5,6}}=>{{1,2,4},{3,5,6}}
[2,1,4,3,6,5]=>[2,1,4,3,6,5]=>{{1,2},{3,4},{5,6}}=>{{1,2},{3,4},{5,6}}
[2,1,4,5,3,6]=>[2,4,1,5,6,3]=>{{1,2,4,5,6},{3}}=>{{1,2,3,5,6},{4}}
[2,1,4,5,6,3]=>[2,1,4,5,6,3]=>{{1,2},{3,4,5,6}}=>{{1,2,3,4},{5,6}}
[2,1,4,6,3,5]=>[2,4,1,3,6,5]=>{{1,2,4},{3},{5,6}}=>{{1,2},{3,5,6},{4}}
[2,1,4,6,5,3]=>[6,2,1,4,5,3]=>{{1,6},{2},{3},{4},{5}}=>{{1,6},{2},{3},{4},{5}}
[2,1,5,3,4,6]=>[2,3,5,1,6,4]=>{{1,2,3,5,6},{4}}=>{{1,2,4,5,6},{3}}
[2,1,5,3,6,4]=>[2,1,5,3,6,4]=>{{1,2},{3,5,6},{4}}=>{{1,2,4},{3},{5,6}}
[2,1,5,4,3,6]=>[2,5,4,1,6,3]=>{{1,2,5,6},{3,4}}=>{{1,2,5,6},{3,4}}
[2,1,5,4,6,3]=>[5,2,4,1,6,3]=>{{1,5,6},{2},{3,4}}=>{{1,2,6},{3,4},{5}}
[2,1,5,6,3,4]=>[2,5,1,3,6,4]=>{{1,2,5,6},{3},{4}}=>{{1,2,5,6},{3},{4}}
[2,1,5,6,4,3]=>[5,2,1,4,6,3]=>{{1,5,6},{2},{3},{4}}=>{{1,2,6},{3},{4},{5}}
[2,1,6,3,4,5]=>[2,3,4,1,6,5]=>{{1,2,3,4},{5,6}}=>{{1,2},{3,4,5,6}}
[2,1,6,3,5,4]=>[6,2,3,1,5,4]=>{{1,6},{2},{3},{4},{5}}=>{{1,6},{2},{3},{4},{5}}
[2,1,6,4,3,5]=>[2,6,4,1,5,3]=>{{1,2,6},{3,4},{5}}=>{{1,5,6},{2},{3,4}}
[2,1,6,4,5,3]=>[6,2,4,1,5,3]=>{{1,6},{2},{3,4},{5}}=>{{1,6},{2},{3,4},{5}}
[2,1,6,5,3,4]=>[2,6,3,1,5,4]=>{{1,2,6},{3},{4},{5}}=>{{1,5,6},{2},{3},{4}}
[2,1,6,5,4,3]=>[6,5,2,1,4,3]=>{{1,6},{2,5},{3},{4}}=>{{1,6},{2,5},{3},{4}}
[2,3,1,4,5,6]=>[2,3,4,5,1,6]=>{{1,2,3,4,5},{6}}=>{{1},{2,3,4,5,6}}
[2,3,1,4,6,5]=>[2,1,3,6,4,5]=>{{1,2},{3},{4,6},{5}}=>{{1,3},{2},{4},{5,6}}
[2,3,1,5,4,6]=>[2,3,1,5,4,6]=>{{1,2,3},{4,5},{6}}=>{{1},{2,3},{4,5,6}}
[2,3,1,5,6,4]=>[2,1,3,5,4,6]=>{{1,2},{3},{4,5},{6}}=>{{1},{2,3},{4},{5,6}}
[2,3,1,6,4,5]=>[2,3,1,6,4,5]=>{{1,2,3},{4,6},{5}}=>{{1,3},{2},{4,5,6}}
[2,3,1,6,5,4]=>[6,2,1,5,3,4]=>{{1,6},{2},{3},{4,5}}=>{{1,6},{2,3},{4},{5}}
[2,3,4,1,5,6]=>[2,3,4,1,5,6]=>{{1,2,3,4},{5},{6}}=>{{1},{2},{3,4,5,6}}
[2,3,4,1,6,5]=>[2,1,6,3,4,5]=>{{1,2},{3,6},{4},{5}}=>{{1,4},{2},{3},{5,6}}
[2,3,4,5,1,6]=>[2,3,1,4,5,6]=>{{1,2,3},{4},{5},{6}}=>{{1},{2},{3},{4,5,6}}
[2,3,4,5,6,1]=>[2,1,3,4,5,6]=>{{1,2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5,6}}
[2,3,4,6,1,5]=>[2,6,1,3,4,5]=>{{1,2,6},{3},{4},{5}}=>{{1,5,6},{2},{3},{4}}
[2,3,4,6,5,1]=>[6,2,1,3,4,5]=>{{1,6},{2},{3},{4},{5}}=>{{1,6},{2},{3},{4},{5}}
[2,3,5,1,4,6]=>[2,3,5,1,4,6]=>{{1,2,3,5},{4},{6}}=>{{1},{2,4,5,6},{3}}
[2,3,5,1,6,4]=>[2,1,5,3,4,6]=>{{1,2},{3,5},{4},{6}}=>{{1},{2,4},{3},{5,6}}
[2,3,5,4,1,6]=>[2,5,3,1,4,6]=>{{1,2,5},{3},{4},{6}}=>{{1},{2,5,6},{3},{4}}
[2,3,5,4,6,1]=>[5,2,3,1,4,6]=>{{1,5},{2},{3},{4},{6}}=>{{1},{2,6},{3},{4},{5}}
[2,3,5,6,1,4]=>[2,5,1,3,4,6]=>{{1,2,5},{3},{4},{6}}=>{{1},{2,5,6},{3},{4}}
[2,3,5,6,4,1]=>[5,2,1,3,4,6]=>{{1,5},{2},{3},{4},{6}}=>{{1},{2,6},{3},{4},{5}}
[2,3,6,1,4,5]=>[2,3,6,1,4,5]=>{{1,2,3,6},{4},{5}}=>{{1,4,5,6},{2},{3}}
[2,3,6,1,5,4]=>[6,2,5,1,3,4]=>{{1,6},{2},{3,5},{4}}=>{{1,6},{2,4},{3},{5}}
[2,3,6,4,1,5]=>[2,6,3,1,4,5]=>{{1,2,6},{3},{4},{5}}=>{{1,5,6},{2},{3},{4}}
[2,3,6,4,5,1]=>[6,2,3,1,4,5]=>{{1,6},{2},{3},{4},{5}}=>{{1,6},{2},{3},{4},{5}}
[2,3,6,5,1,4]=>[2,6,5,1,3,4]=>{{1,2,6},{3,5},{4}}=>{{1,5,6},{2,4},{3}}
[2,3,6,5,4,1]=>[6,5,2,1,3,4]=>{{1,6},{2,5},{3},{4}}=>{{1,6},{2,5},{3},{4}}
[2,4,1,3,5,6]=>[2,4,5,6,1,3]=>{{1,2,4,6},{3,5}}=>{{1,3,5,6},{2,4}}
[2,4,1,3,6,5]=>[2,1,4,6,3,5]=>{{1,2},{3,4,6},{5}}=>{{1,3,4},{2},{5,6}}
[2,4,1,5,3,6]=>[2,4,1,5,3,6]=>{{1,2,4,5},{3},{6}}=>{{1},{2,3,5,6},{4}}
[2,4,1,5,6,3]=>[2,1,4,5,3,6]=>{{1,2},{3,4,5},{6}}=>{{1},{2,3,4},{5,6}}
[2,4,1,6,3,5]=>[2,4,1,6,3,5]=>{{1,2,4,6},{3},{5}}=>{{1,3,5,6},{2},{4}}
[2,4,1,6,5,3]=>[6,2,1,4,3,5]=>{{1,6},{2},{3},{4},{5}}=>{{1,6},{2},{3},{4},{5}}
[2,4,3,1,5,6]=>[2,4,5,3,1,6]=>{{1,2,4},{3,5},{6}}=>{{1},{2,4},{3,5,6}}
[2,4,3,1,6,5]=>[4,2,6,3,1,5]=>{{1,4},{2},{3,6},{5}}=>{{1,4},{2},{3,6},{5}}
[2,4,3,5,1,6]=>[2,4,3,5,1,6]=>{{1,2,4,5},{3},{6}}=>{{1},{2,3,5,6},{4}}
[2,4,3,5,6,1]=>[4,2,3,5,1,6]=>{{1,4,5},{2},{3},{6}}=>{{1},{2,3,6},{4},{5}}
[2,4,3,6,1,5]=>[4,6,2,3,1,5]=>{{1,4},{2,6},{3},{5}}=>{{1,5},{2},{3,6},{4}}
[2,4,3,6,5,1]=>[4,2,1,6,3,5]=>{{1,4,6},{2},{3},{5}}=>{{1,3,6},{2},{4},{5}}
[2,4,5,1,3,6]=>[2,4,5,1,3,6]=>{{1,2,4},{3,5},{6}}=>{{1},{2,4},{3,5,6}}
[2,4,5,1,6,3]=>[2,1,4,3,5,6]=>{{1,2},{3,4},{5},{6}}=>{{1},{2},{3,4},{5,6}}
[2,4,5,3,1,6]=>[2,4,3,1,5,6]=>{{1,2,4},{3},{5},{6}}=>{{1},{2},{3,5,6},{4}}
[2,4,5,3,6,1]=>[4,2,3,1,5,6]=>{{1,4},{2},{3},{5},{6}}=>{{1},{2},{3,6},{4},{5}}
[2,4,5,6,1,3]=>[2,4,1,3,5,6]=>{{1,2,4},{3},{5},{6}}=>{{1},{2},{3,5,6},{4}}
[2,4,5,6,3,1]=>[4,2,1,3,5,6]=>{{1,4},{2},{3},{5},{6}}=>{{1},{2},{3,6},{4},{5}}
[2,4,6,1,3,5]=>[2,4,6,1,3,5]=>{{1,2,4},{3,6},{5}}=>{{1,4},{2},{3,5,6}}
[2,4,6,1,5,3]=>[6,2,4,1,3,5]=>{{1,6},{2},{3,4},{5}}=>{{1,6},{2},{3,4},{5}}
[2,4,6,3,1,5]=>[4,6,2,1,3,5]=>{{1,4},{2,6},{3},{5}}=>{{1,5},{2},{3,6},{4}}
[2,4,6,3,5,1]=>[4,2,6,1,3,5]=>{{1,4},{2},{3,6},{5}}=>{{1,4},{2},{3,6},{5}}
[2,4,6,5,1,3]=>[2,6,4,1,3,5]=>{{1,2,6},{3,4},{5}}=>{{1,5,6},{2},{3,4}}
[2,4,6,5,3,1]=>[6,4,2,1,3,5]=>{{1,6},{2,4},{3},{5}}=>{{1,6},{2},{3,5},{4}}
[2,5,1,3,4,6]=>[2,3,5,6,1,4]=>{{1,2,3,5},{4,6}}=>{{1,3},{2,4,5,6}}
[2,5,1,3,6,4]=>[2,1,5,6,3,4]=>{{1,2},{3,5},{4,6}}=>{{1,3},{2,4},{5,6}}
[2,5,1,4,3,6]=>[2,5,4,6,1,3]=>{{1,2,5},{3,4,6}}=>{{1,3,4},{2,5,6}}
[2,5,1,4,6,3]=>[5,2,4,6,1,3]=>{{1,5},{2},{3,4,6}}=>{{1,3,4},{2,6},{5}}
[2,5,1,6,3,4]=>[2,5,1,6,3,4]=>{{1,2,5},{3},{4,6}}=>{{1,3},{2,5,6},{4}}
[2,5,1,6,4,3]=>[5,2,1,4,3,6]=>{{1,5},{2},{3},{4},{6}}=>{{1},{2,6},{3},{4},{5}}
[2,5,3,1,4,6]=>[2,3,5,4,1,6]=>{{1,2,3,5},{4},{6}}=>{{1},{2,4,5,6},{3}}
[2,5,3,1,6,4]=>[5,2,6,3,1,4]=>{{1,5},{2},{3,6},{4}}=>{{1,4},{2,6},{3},{5}}
[2,5,3,4,1,6]=>[2,5,3,4,1,6]=>{{1,2,5},{3},{4},{6}}=>{{1},{2,5,6},{3},{4}}
[2,5,3,4,6,1]=>[5,2,3,4,1,6]=>{{1,5},{2},{3},{4},{6}}=>{{1},{2,6},{3},{4},{5}}
[2,5,3,6,1,4]=>[5,6,2,3,1,4]=>{{1,5},{2,6},{3},{4}}=>{{1,5},{2,6},{3},{4}}
[2,5,3,6,4,1]=>[5,2,1,6,3,4]=>{{1,5},{2},{3},{4,6}}=>{{1,3},{2,6},{4},{5}}
[2,5,4,1,3,6]=>[2,5,6,4,1,3]=>{{1,2,5},{3,6},{4}}=>{{1,4},{2,5,6},{3}}
[2,5,4,1,6,3]=>[2,1,5,4,3,6]=>{{1,2},{3,5},{4},{6}}=>{{1},{2,4},{3},{5,6}}
[2,5,4,3,1,6]=>[2,5,4,3,1,6]=>{{1,2,5},{3,4},{6}}=>{{1},{2,5,6},{3,4}}
[2,5,4,3,6,1]=>[5,2,4,3,1,6]=>{{1,5},{2},{3,4},{6}}=>{{1},{2,6},{3,4},{5}}
[2,5,4,6,1,3]=>[2,5,1,4,3,6]=>{{1,2,5},{3},{4},{6}}=>{{1},{2,5,6},{3},{4}}
[2,5,4,6,3,1]=>[5,4,2,3,1,6]=>{{1,5},{2,4},{3},{6}}=>{{1},{2,6},{3,5},{4}}
[2,5,6,1,3,4]=>[2,5,6,1,3,4]=>{{1,2,5},{3,6},{4}}=>{{1,4},{2,5,6},{3}}
[2,5,6,1,4,3]=>[5,2,4,1,3,6]=>{{1,5},{2},{3,4},{6}}=>{{1},{2,6},{3,4},{5}}
[2,5,6,3,1,4]=>[5,6,2,1,3,4]=>{{1,5},{2,6},{3},{4}}=>{{1,5},{2,6},{3},{4}}
[2,5,6,3,4,1]=>[5,2,6,1,3,4]=>{{1,5},{2},{3,6},{4}}=>{{1,4},{2,6},{3},{5}}
[2,5,6,4,1,3]=>[2,5,4,1,3,6]=>{{1,2,5},{3,4},{6}}=>{{1},{2,5,6},{3,4}}
[2,5,6,4,3,1]=>[5,4,2,1,3,6]=>{{1,5},{2,4},{3},{6}}=>{{1},{2,6},{3,5},{4}}
[2,6,1,3,4,5]=>[2,3,4,6,1,5]=>{{1,2,3,4,6},{5}}=>{{1,3,4,5,6},{2}}
[2,6,1,3,5,4]=>[6,2,3,5,1,4]=>{{1,6},{2},{3},{4,5}}=>{{1,6},{2,3},{4},{5}}
[2,6,1,4,3,5]=>[2,6,4,5,1,3]=>{{1,2,6},{3,4,5}}=>{{1,5,6},{2,3,4}}
[2,6,1,4,5,3]=>[6,2,4,5,1,3]=>{{1,6},{2},{3,4,5}}=>{{1,6},{2,3,4},{5}}
[2,6,1,5,3,4]=>[2,6,3,5,1,4]=>{{1,2,6},{3},{4,5}}=>{{1,5,6},{2,3},{4}}
[2,6,1,5,4,3]=>[6,5,2,4,1,3]=>{{1,6},{2,5},{3},{4}}=>{{1,6},{2,5},{3},{4}}
[2,6,3,1,4,5]=>[2,3,6,4,1,5]=>{{1,2,3,6},{4},{5}}=>{{1,4,5,6},{2},{3}}
[2,6,3,1,5,4]=>[2,1,6,5,3,4]=>{{1,2},{3,6},{4,5}}=>{{1,4},{2,3},{5,6}}
[2,6,3,4,1,5]=>[2,6,3,4,1,5]=>{{1,2,6},{3},{4},{5}}=>{{1,5,6},{2},{3},{4}}
[2,6,3,4,5,1]=>[6,2,3,4,1,5]=>{{1,6},{2},{3},{4},{5}}=>{{1,6},{2},{3},{4},{5}}
[2,6,3,5,1,4]=>[2,6,1,5,3,4]=>{{1,2,6},{3},{4,5}}=>{{1,5,6},{2,3},{4}}
[2,6,3,5,4,1]=>[6,5,2,3,1,4]=>{{1,6},{2,5},{3},{4}}=>{{1,6},{2,5},{3},{4}}
[2,6,4,1,3,5]=>[2,4,6,5,1,3]=>{{1,2,4,5},{3,6}}=>{{1,4},{2,3,5,6}}
[2,6,4,1,5,3]=>[2,1,6,4,3,5]=>{{1,2},{3,6},{4},{5}}=>{{1,4},{2},{3},{5,6}}
[2,6,4,3,1,5]=>[2,6,4,3,1,5]=>{{1,2,6},{3,4},{5}}=>{{1,5,6},{2},{3,4}}
[2,6,4,3,5,1]=>[6,2,4,3,1,5]=>{{1,6},{2},{3,4},{5}}=>{{1,6},{2},{3,4},{5}}
[2,6,4,5,1,3]=>[2,6,1,4,3,5]=>{{1,2,6},{3},{4},{5}}=>{{1,5,6},{2},{3},{4}}
[2,6,4,5,3,1]=>[6,4,2,3,1,5]=>{{1,6},{2,4},{3},{5}}=>{{1,6},{2},{3,5},{4}}
[2,6,5,1,3,4]=>[2,3,6,5,1,4]=>{{1,2,3,6},{4,5}}=>{{1,4,5,6},{2,3}}
[2,6,5,1,4,3]=>[6,2,5,4,1,3]=>{{1,6},{2},{3,5},{4}}=>{{1,6},{2,4},{3},{5}}
[2,6,5,3,1,4]=>[2,6,5,3,1,4]=>{{1,2,6},{3,5},{4}}=>{{1,5,6},{2,4},{3}}
[2,6,5,3,4,1]=>[6,2,5,3,1,4]=>{{1,6},{2},{3,5},{4}}=>{{1,6},{2,4},{3},{5}}
[2,6,5,4,1,3]=>[2,6,5,4,1,3]=>{{1,2,6},{3,5},{4}}=>{{1,5,6},{2,4},{3}}
[2,6,5,4,3,1]=>[6,5,4,2,1,3]=>{{1,6},{2,5},{3,4}}=>{{1,6},{2,5},{3,4}}
[3,1,2,4,5,6]=>[1,3,4,5,6,2]=>{{1},{2,3,4,5,6}}=>{{1,2,3,4,5},{6}}
[3,1,2,4,6,5]=>[3,1,2,4,6,5]=>{{1,3},{2},{4},{5,6}}=>{{1,2},{3},{4,6},{5}}
[3,1,2,5,4,6]=>[1,3,2,5,6,4]=>{{1},{2,3},{4,5,6}}=>{{1,2,3},{4,5},{6}}
[3,1,2,5,6,4]=>[3,1,2,5,6,4]=>{{1,3},{2},{4,5,6}}=>{{1,2,3},{4,6},{5}}
[3,1,2,6,4,5]=>[1,3,2,4,6,5]=>{{1},{2,3},{4},{5,6}}=>{{1,2},{3},{4,5},{6}}
[3,1,2,6,5,4]=>[6,3,1,2,5,4]=>{{1,6},{2,3},{4},{5}}=>{{1,6},{2},{3},{4,5}}
[3,1,4,2,5,6]=>[3,4,5,1,6,2]=>{{1,3,5,6},{2,4}}=>{{1,2,4,6},{3,5}}
[3,1,4,2,6,5]=>[3,1,4,2,6,5]=>{{1,3,4},{2},{5,6}}=>{{1,2},{3,4,6},{5}}
[3,1,4,5,2,6]=>[3,4,1,5,6,2]=>{{1,3},{2,4,5,6}}=>{{1,2,3,5},{4,6}}
[3,1,4,5,6,2]=>[3,1,4,5,6,2]=>{{1,3,4,5,6},{2}}=>{{1,2,3,4,6},{5}}
[3,1,4,6,2,5]=>[3,4,1,2,6,5]=>{{1,3},{2,4},{5,6}}=>{{1,2},{3,5},{4,6}}
[3,1,4,6,5,2]=>[6,3,1,4,5,2]=>{{1,6},{2,3},{4},{5}}=>{{1,6},{2},{3},{4,5}}
[3,1,5,2,4,6]=>[1,3,5,2,6,4]=>{{1},{2,3,5,6},{4}}=>{{1,2,4,5},{3},{6}}
[3,1,5,2,6,4]=>[3,1,5,2,6,4]=>{{1,3,5,6},{2},{4}}=>{{1,2,4,6},{3},{5}}
[3,1,5,4,2,6]=>[3,5,4,1,6,2]=>{{1,3,4},{2,5,6}}=>{{1,2,5},{3,4,6}}
[3,1,5,4,6,2]=>[5,3,4,1,6,2]=>{{1,5,6},{2,3,4}}=>{{1,2,6},{3,4,5}}
[3,1,5,6,2,4]=>[3,5,1,2,6,4]=>{{1,3},{2,5,6},{4}}=>{{1,2,5},{3},{4,6}}
[3,1,5,6,4,2]=>[5,3,1,4,6,2]=>{{1,5,6},{2,3},{4}}=>{{1,2,6},{3},{4,5}}
[3,1,6,2,4,5]=>[1,3,4,2,6,5]=>{{1},{2,3,4},{5,6}}=>{{1,2},{3,4,5},{6}}
[3,1,6,2,5,4]=>[6,1,3,2,5,4]=>{{1,6},{2},{3},{4},{5}}=>{{1,6},{2},{3},{4},{5}}
[3,1,6,4,2,5]=>[3,6,4,1,5,2]=>{{1,3,4},{2,6},{5}}=>{{1,5},{2},{3,4,6}}
[3,1,6,4,5,2]=>[6,3,4,1,5,2]=>{{1,6},{2,3,4},{5}}=>{{1,6},{2},{3,4,5}}
[3,1,6,5,2,4]=>[1,6,3,2,5,4]=>{{1},{2,6},{3},{4},{5}}=>{{1,5},{2},{3},{4},{6}}
[3,1,6,5,4,2]=>[6,5,3,1,4,2]=>{{1,6},{2,5},{3},{4}}=>{{1,6},{2,5},{3},{4}}
[3,2,1,4,5,6]=>[3,4,5,6,2,1]=>{{1,3,5},{2,4,6}}=>{{1,3,5},{2,4,6}}
[3,2,1,4,6,5]=>[3,2,4,6,5,1]=>{{1,3,4,6},{2},{5}}=>{{1,3,4,6},{2},{5}}
[3,2,1,5,4,6]=>[3,5,2,6,4,1]=>{{1,3},{2,5},{4,6}}=>{{1,3},{2,5},{4,6}}
[3,2,1,5,6,4]=>[3,2,5,6,4,1]=>{{1,3,5},{2},{4,6}}=>{{1,3},{2,4,6},{5}}
[3,2,1,6,4,5]=>[3,4,2,6,5,1]=>{{1,3},{2,4,6},{5}}=>{{1,3,5},{2},{4,6}}
[3,2,1,6,5,4]=>[3,2,1,6,5,4]=>{{1,3},{2},{4,6},{5}}=>{{1,3},{2},{4,6},{5}}
[3,2,4,1,5,6]=>[3,4,5,2,6,1]=>{{1,3,5,6},{2,4}}=>{{1,2,4,6},{3,5}}
[3,2,4,1,6,5]=>[3,2,6,4,5,1]=>{{1,3,6},{2},{4},{5}}=>{{1,4,6},{2},{3},{5}}
[3,2,4,5,1,6]=>[3,4,2,5,6,1]=>{{1,3},{2,4,5,6}}=>{{1,2,3,5},{4,6}}
[3,2,4,5,6,1]=>[3,2,4,5,6,1]=>{{1,3,4,5,6},{2}}=>{{1,2,3,4,6},{5}}
[3,2,4,6,1,5]=>[3,6,2,4,5,1]=>{{1,3},{2,6},{4},{5}}=>{{1,5},{2},{3},{4,6}}
[3,2,4,6,5,1]=>[3,2,1,4,6,5]=>{{1,3},{2},{4},{5,6}}=>{{1,2},{3},{4,6},{5}}
[3,2,5,1,4,6]=>[3,5,6,2,4,1]=>{{1,3,6},{2,5},{4}}=>{{1,4,6},{2,5},{3}}
[3,2,5,1,6,4]=>[3,2,5,4,6,1]=>{{1,3,5,6},{2},{4}}=>{{1,2,4,6},{3},{5}}
[3,2,5,4,1,6]=>[3,5,2,1,6,4]=>{{1,3},{2,5,6},{4}}=>{{1,2,5},{3},{4,6}}
[3,2,5,4,6,1]=>[3,2,5,1,6,4]=>{{1,3,5,6},{2},{4}}=>{{1,2,4,6},{3},{5}}
[3,2,5,6,1,4]=>[3,5,2,4,6,1]=>{{1,3},{2,5,6},{4}}=>{{1,2,5},{3},{4,6}}
[3,2,5,6,4,1]=>[3,2,1,5,6,4]=>{{1,3},{2},{4,5,6}}=>{{1,2,3},{4,6},{5}}
[3,2,6,1,4,5]=>[3,4,6,2,5,1]=>{{1,3,6},{2,4},{5}}=>{{1,4,6},{2},{3,5}}
[3,2,6,1,5,4]=>[3,2,6,1,5,4]=>{{1,3,6},{2},{4},{5}}=>{{1,4,6},{2},{3},{5}}
[3,2,6,4,1,5]=>[3,4,2,1,6,5]=>{{1,3},{2,4},{5,6}}=>{{1,2},{3,5},{4,6}}
[3,2,6,4,5,1]=>[3,2,4,1,6,5]=>{{1,3,4},{2},{5,6}}=>{{1,2},{3,4,6},{5}}
[3,2,6,5,1,4]=>[3,6,2,1,5,4]=>{{1,3},{2,6},{4},{5}}=>{{1,5},{2},{3},{4,6}}
[3,2,6,5,4,1]=>[6,3,2,1,5,4]=>{{1,6},{2,3},{4},{5}}=>{{1,6},{2},{3},{4,5}}
[3,4,1,2,5,6]=>[3,4,5,6,1,2]=>{{1,3,5},{2,4,6}}=>{{1,3,5},{2,4,6}}
[3,4,1,2,6,5]=>[3,1,4,6,2,5]=>{{1,3,4,6},{2},{5}}=>{{1,3,4,6},{2},{5}}
[3,4,1,5,2,6]=>[3,4,1,5,2,6]=>{{1,3},{2,4,5},{6}}=>{{1},{2,3,5},{4,6}}
[3,4,1,5,6,2]=>[3,1,4,5,2,6]=>{{1,3,4,5},{2},{6}}=>{{1},{2,3,4,6},{5}}
[3,4,1,6,2,5]=>[3,4,1,6,2,5]=>{{1,3},{2,4,6},{5}}=>{{1,3,5},{2},{4,6}}
[3,4,1,6,5,2]=>[6,3,1,4,2,5]=>{{1,6},{2,3},{4},{5}}=>{{1,6},{2},{3},{4,5}}
[3,4,2,1,5,6]=>[3,4,5,2,1,6]=>{{1,3,5},{2,4},{6}}=>{{1},{2,4,6},{3,5}}
[3,4,2,1,6,5]=>[3,2,6,4,1,5]=>{{1,3,6},{2},{4},{5}}=>{{1,4,6},{2},{3},{5}}
[3,4,2,5,1,6]=>[3,4,2,5,1,6]=>{{1,3},{2,4,5},{6}}=>{{1},{2,3,5},{4,6}}
[3,4,2,5,6,1]=>[3,2,4,5,1,6]=>{{1,3,4,5},{2},{6}}=>{{1},{2,3,4,6},{5}}
[3,4,2,6,1,5]=>[3,6,2,4,1,5]=>{{1,3},{2,6},{4},{5}}=>{{1,5},{2},{3},{4,6}}
[3,4,2,6,5,1]=>[3,2,1,6,4,5]=>{{1,3},{2},{4,6},{5}}=>{{1,3},{2},{4,6},{5}}
[3,4,5,1,2,6]=>[3,4,5,1,2,6]=>{{1,3,5},{2,4},{6}}=>{{1},{2,4,6},{3,5}}
[3,4,5,1,6,2]=>[3,1,4,2,5,6]=>{{1,3,4},{2},{5},{6}}=>{{1},{2},{3,4,6},{5}}
[3,4,5,2,1,6]=>[3,4,2,1,5,6]=>{{1,3},{2,4},{5},{6}}=>{{1},{2},{3,5},{4,6}}
[3,4,5,2,6,1]=>[3,2,4,1,5,6]=>{{1,3,4},{2},{5},{6}}=>{{1},{2},{3,4,6},{5}}
[3,4,5,6,1,2]=>[3,4,1,2,5,6]=>{{1,3},{2,4},{5},{6}}=>{{1},{2},{3,5},{4,6}}
[3,4,5,6,2,1]=>[3,2,1,4,5,6]=>{{1,3},{2},{4},{5},{6}}=>{{1},{2},{3},{4,6},{5}}
[3,4,6,1,2,5]=>[3,4,6,1,2,5]=>{{1,3,6},{2,4},{5}}=>{{1,4,6},{2},{3,5}}
[3,4,6,1,5,2]=>[6,3,4,1,2,5]=>{{1,6},{2,3,4},{5}}=>{{1,6},{2},{3,4,5}}
[3,4,6,2,1,5]=>[3,6,2,1,4,5]=>{{1,3},{2,6},{4},{5}}=>{{1,5},{2},{3},{4,6}}
[3,4,6,2,5,1]=>[3,2,6,1,4,5]=>{{1,3,6},{2},{4},{5}}=>{{1,4,6},{2},{3},{5}}
[3,4,6,5,1,2]=>[3,6,4,1,2,5]=>{{1,3,4},{2,6},{5}}=>{{1,5},{2},{3,4,6}}
[3,4,6,5,2,1]=>[6,3,2,1,4,5]=>{{1,6},{2,3},{4},{5}}=>{{1,6},{2},{3},{4,5}}
[3,5,1,2,4,6]=>[1,3,5,6,2,4]=>{{1},{2,3,5},{4,6}}=>{{1,3},{2,4,5},{6}}
[3,5,1,2,6,4]=>[3,1,5,6,2,4]=>{{1,3,5},{2},{4,6}}=>{{1,3},{2,4,6},{5}}
[3,5,1,4,2,6]=>[3,5,4,6,1,2]=>{{1,3,4,6},{2,5}}=>{{1,3,4,6},{2,5}}
[3,5,1,4,6,2]=>[5,3,4,6,1,2]=>{{1,5},{2,3,4,6}}=>{{1,3,4,5},{2,6}}
[3,5,1,6,2,4]=>[3,5,1,6,2,4]=>{{1,3},{2,5},{4,6}}=>{{1,3},{2,5},{4,6}}
[3,5,1,6,4,2]=>[5,3,1,4,2,6]=>{{1,5},{2,3},{4},{6}}=>{{1},{2,6},{3},{4,5}}
[3,5,2,1,4,6]=>[3,5,6,2,1,4]=>{{1,3,6},{2,5},{4}}=>{{1,4,6},{2,5},{3}}
[3,5,2,1,6,4]=>[3,2,5,4,1,6]=>{{1,3,5},{2},{4},{6}}=>{{1},{2,4,6},{3},{5}}
[3,5,2,4,1,6]=>[3,5,2,6,1,4]=>{{1,3},{2,5},{4,6}}=>{{1,3},{2,5},{4,6}}
[3,5,2,4,6,1]=>[3,2,5,6,1,4]=>{{1,3,5},{2},{4,6}}=>{{1,3},{2,4,6},{5}}
[3,5,2,6,1,4]=>[3,5,2,4,1,6]=>{{1,3},{2,5},{4},{6}}=>{{1},{2,5},{3},{4,6}}
[3,5,2,6,4,1]=>[3,2,1,5,4,6]=>{{1,3},{2},{4,5},{6}}=>{{1},{2,3},{4,6},{5}}
[3,5,4,1,2,6]=>[3,5,6,4,1,2]=>{{1,3,6},{2,5},{4}}=>{{1,4,6},{2,5},{3}}
[3,5,4,1,6,2]=>[3,1,5,4,2,6]=>{{1,3,5},{2},{4},{6}}=>{{1},{2,4,6},{3},{5}}
[3,5,4,2,1,6]=>[3,5,4,2,1,6]=>{{1,3,4},{2,5},{6}}=>{{1},{2,5},{3,4,6}}
[3,5,4,2,6,1]=>[5,3,4,2,1,6]=>{{1,5},{2,3,4},{6}}=>{{1},{2,6},{3,4,5}}
[3,5,4,6,1,2]=>[3,5,1,4,2,6]=>{{1,3},{2,5},{4},{6}}=>{{1},{2,5},{3},{4,6}}
[3,5,4,6,2,1]=>[5,3,2,4,1,6]=>{{1,5},{2,3},{4},{6}}=>{{1},{2,6},{3},{4,5}}
[3,5,6,1,2,4]=>[3,5,6,1,2,4]=>{{1,3,6},{2,5},{4}}=>{{1,4,6},{2,5},{3}}
[3,5,6,1,4,2]=>[5,3,4,1,2,6]=>{{1,5},{2,3,4},{6}}=>{{1},{2,6},{3,4,5}}
[3,5,6,2,1,4]=>[3,5,2,1,4,6]=>{{1,3},{2,5},{4},{6}}=>{{1},{2,5},{3},{4,6}}
[3,5,6,2,4,1]=>[3,2,5,1,4,6]=>{{1,3,5},{2},{4},{6}}=>{{1},{2,4,6},{3},{5}}
[3,5,6,4,1,2]=>[3,5,4,1,2,6]=>{{1,3,4},{2,5},{6}}=>{{1},{2,5},{3,4,6}}
[3,5,6,4,2,1]=>[5,3,2,1,4,6]=>{{1,5},{2,3},{4},{6}}=>{{1},{2,6},{3},{4,5}}
[3,6,1,2,4,5]=>[1,3,4,6,2,5]=>{{1},{2,3,4,6},{5}}=>{{1,3,4,5},{2},{6}}
[3,6,1,2,5,4]=>[6,1,3,5,2,4]=>{{1,6},{2},{3},{4,5}}=>{{1,6},{2,3},{4},{5}}
[3,6,1,4,2,5]=>[3,6,4,5,1,2]=>{{1,3,4,5},{2,6}}=>{{1,5},{2,3,4,6}}
[3,6,1,4,5,2]=>[6,3,4,5,1,2]=>{{1,6},{2,3,4,5}}=>{{1,6},{2,3,4,5}}
[3,6,1,5,2,4]=>[1,6,3,5,2,4]=>{{1},{2,6},{3},{4,5}}=>{{1,5},{2,3},{4},{6}}
[3,6,1,5,4,2]=>[6,5,3,4,1,2]=>{{1,6},{2,5},{3},{4}}=>{{1,6},{2,5},{3},{4}}
[3,6,2,1,4,5]=>[3,4,6,2,1,5]=>{{1,3,6},{2,4},{5}}=>{{1,4,6},{2},{3,5}}
[3,6,2,1,5,4]=>[3,2,6,5,1,4]=>{{1,3,6},{2},{4,5}}=>{{1,4,6},{2,3},{5}}
[3,6,2,4,1,5]=>[3,4,2,6,1,5]=>{{1,3},{2,4,6},{5}}=>{{1,3,5},{2},{4,6}}
[3,6,2,4,5,1]=>[3,2,4,6,1,5]=>{{1,3,4,6},{2},{5}}=>{{1,3,4,6},{2},{5}}
[3,6,2,5,1,4]=>[3,6,2,5,1,4]=>{{1,3},{2,6},{4,5}}=>{{1,5},{2,3},{4,6}}
[3,6,2,5,4,1]=>[6,3,2,5,1,4]=>{{1,6},{2,3},{4,5}}=>{{1,6},{2,3},{4,5}}
[3,6,4,1,2,5]=>[3,4,6,5,1,2]=>{{1,3,6},{2,4,5}}=>{{1,4,6},{2,3,5}}
[3,6,4,1,5,2]=>[3,1,6,4,2,5]=>{{1,3,6},{2},{4},{5}}=>{{1,4,6},{2},{3},{5}}
[3,6,4,2,1,5]=>[3,6,4,2,1,5]=>{{1,3,4},{2,6},{5}}=>{{1,5},{2},{3,4,6}}
[3,6,4,2,5,1]=>[6,3,4,2,1,5]=>{{1,6},{2,3,4},{5}}=>{{1,6},{2},{3,4,5}}
[3,6,4,5,1,2]=>[3,6,1,4,2,5]=>{{1,3},{2,6},{4},{5}}=>{{1,5},{2},{3},{4,6}}
[3,6,4,5,2,1]=>[6,3,2,4,1,5]=>{{1,6},{2,3},{4},{5}}=>{{1,6},{2},{3},{4,5}}
[3,6,5,1,2,4]=>[1,3,6,5,2,4]=>{{1},{2,3,6},{4,5}}=>{{1,4,5},{2,3},{6}}
[3,6,5,1,4,2]=>[6,3,5,4,1,2]=>{{1,6},{2,3,5},{4}}=>{{1,6},{2,4,5},{3}}
[3,6,5,2,1,4]=>[3,6,5,2,1,4]=>{{1,3,5},{2,6},{4}}=>{{1,5},{2,4,6},{3}}
[3,6,5,2,4,1]=>[6,3,5,2,1,4]=>{{1,6},{2,3,5},{4}}=>{{1,6},{2,4,5},{3}}
[3,6,5,4,1,2]=>[3,6,5,4,1,2]=>{{1,3,5},{2,6},{4}}=>{{1,5},{2,4,6},{3}}
[3,6,5,4,2,1]=>[6,5,3,2,1,4]=>{{1,6},{2,5},{3},{4}}=>{{1,6},{2,5},{3},{4}}
[4,1,2,3,5,6]=>[1,2,4,5,6,3]=>{{1},{2},{3,4,5,6}}=>{{1,2,3,4},{5},{6}}
[4,1,2,3,6,5]=>[4,1,2,3,6,5]=>{{1,4},{2},{3},{5,6}}=>{{1,2},{3,6},{4},{5}}
[4,1,2,5,3,6]=>[1,4,2,5,6,3]=>{{1},{2,4,5,6},{3}}=>{{1,2,3,5},{4},{6}}
[4,1,2,5,6,3]=>[4,1,2,5,6,3]=>{{1,4,5,6},{2},{3}}=>{{1,2,3,6},{4},{5}}
[4,1,2,6,3,5]=>[1,4,2,3,6,5]=>{{1},{2,4},{3},{5,6}}=>{{1,2},{3,5},{4},{6}}
[4,1,2,6,5,3]=>[6,4,1,2,5,3]=>{{1,6},{2,4},{3},{5}}=>{{1,6},{2},{3,5},{4}}
[4,1,3,2,5,6]=>[1,4,5,3,6,2]=>{{1},{2,4},{3,5,6}}=>{{1,2,4},{3,5},{6}}
[4,1,3,2,6,5]=>[4,1,6,3,5,2]=>{{1,4},{2},{3,6},{5}}=>{{1,4},{2},{3,6},{5}}
[4,1,3,5,2,6]=>[1,4,3,5,6,2]=>{{1},{2,4,5,6},{3}}=>{{1,2,3,5},{4},{6}}
[4,1,3,5,6,2]=>[4,1,3,5,6,2]=>{{1,4,5,6},{2},{3}}=>{{1,2,3,6},{4},{5}}
[4,1,3,6,2,5]=>[4,6,1,3,5,2]=>{{1,4},{2,6},{3},{5}}=>{{1,5},{2},{3,6},{4}}
[4,1,3,6,5,2]=>[4,3,1,2,6,5]=>{{1,4},{2,3},{5,6}}=>{{1,2},{3,6},{4,5}}
[4,1,5,2,3,6]=>[1,4,5,2,6,3]=>{{1},{2,4},{3,5,6}}=>{{1,2,4},{3,5},{6}}
[4,1,5,2,6,3]=>[4,1,5,2,6,3]=>{{1,4},{2},{3,5,6}}=>{{1,2,4},{3,6},{5}}
[4,1,5,3,2,6]=>[4,5,3,1,6,2]=>{{1,4},{2,5,6},{3}}=>{{1,2,5},{3,6},{4}}
[4,1,5,3,6,2]=>[4,3,5,1,6,2]=>{{1,4},{2,3,5,6}}=>{{1,2,4,5},{3,6}}
[4,1,5,6,2,3]=>[4,5,1,2,6,3]=>{{1,4},{2,5,6},{3}}=>{{1,2,5},{3,6},{4}}
[4,1,5,6,3,2]=>[4,3,1,5,6,2]=>{{1,4,5,6},{2,3}}=>{{1,2,3,6},{4,5}}
[4,1,6,2,3,5]=>[1,2,4,3,6,5]=>{{1},{2},{3,4},{5,6}}=>{{1,2},{3,4},{5},{6}}
[4,1,6,2,5,3]=>[6,1,4,2,5,3]=>{{1,6},{2},{3,4},{5}}=>{{1,6},{2},{3,4},{5}}
[4,1,6,3,2,5]=>[1,4,3,2,6,5]=>{{1},{2,4},{3},{5,6}}=>{{1,2},{3,5},{4},{6}}
[4,1,6,3,5,2]=>[4,1,3,2,6,5]=>{{1,4},{2},{3},{5,6}}=>{{1,2},{3,6},{4},{5}}
[4,1,6,5,2,3]=>[1,6,4,2,5,3]=>{{1},{2,6},{3,4},{5}}=>{{1,5},{2},{3,4},{6}}
[4,1,6,5,3,2]=>[6,4,3,1,5,2]=>{{1,6},{2,4},{3},{5}}=>{{1,6},{2},{3,5},{4}}
[4,2,1,3,5,6]=>[2,4,5,6,3,1]=>{{1,2,4,6},{3,5}}=>{{1,3,5,6},{2,4}}
[4,2,1,3,6,5]=>[4,2,3,6,5,1]=>{{1,4,6},{2},{3},{5}}=>{{1,3,6},{2},{4},{5}}
[4,2,1,5,3,6]=>[4,5,2,6,3,1]=>{{1,4,6},{2,5},{3}}=>{{1,3,6},{2,5},{4}}
[4,2,1,5,6,3]=>[4,2,5,6,3,1]=>{{1,4,6},{2},{3,5}}=>{{1,3,6},{2,4},{5}}
[4,2,1,6,3,5]=>[2,4,3,6,5,1]=>{{1,2,4,6},{3},{5}}=>{{1,3,5,6},{2},{4}}
[4,2,1,6,5,3]=>[4,2,1,6,5,3]=>{{1,4,6},{2},{3},{5}}=>{{1,3,6},{2},{4},{5}}
[4,2,3,1,5,6]=>[2,4,5,3,6,1]=>{{1,2,4},{3,5,6}}=>{{1,2,4},{3,5,6}}
[4,2,3,1,6,5]=>[4,2,6,3,5,1]=>{{1,4},{2},{3,6},{5}}=>{{1,4},{2},{3,6},{5}}
[4,2,3,5,1,6]=>[2,4,3,5,6,1]=>{{1,2,4,5,6},{3}}=>{{1,2,3,5,6},{4}}
[4,2,3,5,6,1]=>[4,2,3,5,6,1]=>{{1,4,5,6},{2},{3}}=>{{1,2,3,6},{4},{5}}
[4,2,3,6,1,5]=>[4,6,2,3,5,1]=>{{1,4},{2,6},{3},{5}}=>{{1,5},{2},{3,6},{4}}
[4,2,3,6,5,1]=>[4,2,1,3,6,5]=>{{1,4},{2},{3},{5,6}}=>{{1,2},{3,6},{4},{5}}
[4,2,5,1,3,6]=>[4,5,6,2,3,1]=>{{1,4},{2,5},{3,6}}=>{{1,4},{2,5},{3,6}}
[4,2,5,1,6,3]=>[4,2,5,3,6,1]=>{{1,4},{2},{3,5,6}}=>{{1,2,4},{3,6},{5}}
[4,2,5,3,1,6]=>[4,5,2,1,6,3]=>{{1,4},{2,5,6},{3}}=>{{1,2,5},{3,6},{4}}
[4,2,5,3,6,1]=>[4,2,5,1,6,3]=>{{1,4},{2},{3,5,6}}=>{{1,2,4},{3,6},{5}}
[4,2,5,6,1,3]=>[4,5,2,3,6,1]=>{{1,4},{2,5,6},{3}}=>{{1,2,5},{3,6},{4}}
[4,2,5,6,3,1]=>[4,2,1,5,6,3]=>{{1,4,5,6},{2},{3}}=>{{1,2,3,6},{4},{5}}
[4,2,6,1,3,5]=>[2,4,6,3,5,1]=>{{1,2,4},{3,6},{5}}=>{{1,4},{2},{3,5,6}}
[4,2,6,1,5,3]=>[4,2,6,1,5,3]=>{{1,4},{2},{3,6},{5}}=>{{1,4},{2},{3,6},{5}}
[4,2,6,3,1,5]=>[2,4,3,1,6,5]=>{{1,2,4},{3},{5,6}}=>{{1,2},{3,5,6},{4}}
[4,2,6,3,5,1]=>[4,2,3,1,6,5]=>{{1,4},{2},{3},{5,6}}=>{{1,2},{3,6},{4},{5}}
[4,2,6,5,1,3]=>[4,6,2,1,5,3]=>{{1,4},{2,6},{3},{5}}=>{{1,5},{2},{3,6},{4}}
[4,2,6,5,3,1]=>[6,4,2,1,5,3]=>{{1,6},{2,4},{3},{5}}=>{{1,6},{2},{3,5},{4}}
[4,3,1,2,5,6]=>[1,4,5,6,3,2]=>{{1},{2,4,6},{3,5}}=>{{1,3,5},{2,4},{6}}
[4,3,1,2,6,5]=>[4,1,3,6,5,2]=>{{1,4,6},{2},{3},{5}}=>{{1,3,6},{2},{4},{5}}
[4,3,1,5,2,6]=>[4,5,1,6,3,2]=>{{1,4,6},{2,5},{3}}=>{{1,3,6},{2,5},{4}}
[4,3,1,5,6,2]=>[4,1,5,6,3,2]=>{{1,4,6},{2},{3,5}}=>{{1,3,6},{2,4},{5}}
[4,3,1,6,2,5]=>[1,4,3,6,5,2]=>{{1},{2,4,6},{3},{5}}=>{{1,3,5},{2},{4},{6}}
[4,3,1,6,5,2]=>[4,3,1,6,5,2]=>{{1,4,6},{2,3},{5}}=>{{1,3,6},{2},{4,5}}
[4,3,2,1,5,6]=>[4,5,6,3,2,1]=>{{1,4},{2,5},{3,6}}=>{{1,4},{2,5},{3,6}}
[4,3,2,1,6,5]=>[4,3,6,5,2,1]=>{{1,4,5},{2,3,6}}=>{{1,4,5},{2,3,6}}
[4,3,2,5,1,6]=>[4,5,3,6,2,1]=>{{1,4,6},{2,5},{3}}=>{{1,3,6},{2,5},{4}}
[4,3,2,5,6,1]=>[4,3,5,6,2,1]=>{{1,4,6},{2,3,5}}=>{{1,3,6},{2,4,5}}
[4,3,2,6,1,5]=>[4,6,3,5,2,1]=>{{1,4,5},{2,6},{3}}=>{{1,5},{2,3,6},{4}}
[4,3,2,6,5,1]=>[4,3,2,6,5,1]=>{{1,4,6},{2,3},{5}}=>{{1,3,6},{2},{4,5}}
[4,3,5,1,2,6]=>[4,5,6,1,3,2]=>{{1,4},{2,5},{3,6}}=>{{1,4},{2,5},{3,6}}
[4,3,5,1,6,2]=>[4,1,5,3,6,2]=>{{1,4},{2},{3,5,6}}=>{{1,2,4},{3,6},{5}}
[4,3,5,2,1,6]=>[4,5,3,2,6,1]=>{{1,4},{2,5,6},{3}}=>{{1,2,5},{3,6},{4}}
[4,3,5,2,6,1]=>[4,3,5,2,6,1]=>{{1,4},{2,3,5,6}}=>{{1,2,4,5},{3,6}}
[4,3,5,6,1,2]=>[4,5,1,3,6,2]=>{{1,4},{2,5,6},{3}}=>{{1,2,5},{3,6},{4}}
[4,3,5,6,2,1]=>[4,3,2,5,6,1]=>{{1,4,5,6},{2,3}}=>{{1,2,3,6},{4,5}}
[4,3,6,1,2,5]=>[1,4,6,3,5,2]=>{{1},{2,4},{3,6},{5}}=>{{1,4},{2},{3,5},{6}}
[4,3,6,1,5,2]=>[4,3,6,1,5,2]=>{{1,4},{2,3,6},{5}}=>{{1,4,5},{2},{3,6}}
[4,3,6,2,1,5]=>[4,6,3,2,5,1]=>{{1,4},{2,6},{3},{5}}=>{{1,5},{2},{3,6},{4}}
[4,3,6,2,5,1]=>[4,3,6,2,5,1]=>{{1,4},{2,3,6},{5}}=>{{1,4,5},{2},{3,6}}
[4,3,6,5,1,2]=>[4,6,3,1,5,2]=>{{1,4},{2,6},{3},{5}}=>{{1,5},{2},{3,6},{4}}
[4,3,6,5,2,1]=>[4,3,2,1,6,5]=>{{1,4},{2,3},{5,6}}=>{{1,2},{3,6},{4,5}}
[4,5,1,2,3,6]=>[1,4,5,6,2,3]=>{{1},{2,4,6},{3,5}}=>{{1,3,5},{2,4},{6}}
[4,5,1,2,6,3]=>[4,1,5,6,2,3]=>{{1,4,6},{2},{3,5}}=>{{1,3,6},{2,4},{5}}
[4,5,1,3,2,6]=>[4,5,3,6,1,2]=>{{1,4,6},{2,5},{3}}=>{{1,3,6},{2,5},{4}}
[4,5,1,3,6,2]=>[4,3,5,6,1,2]=>{{1,4,6},{2,3,5}}=>{{1,3,6},{2,4,5}}
[4,5,1,6,2,3]=>[4,5,1,6,2,3]=>{{1,4,6},{2,5},{3}}=>{{1,3,6},{2,5},{4}}
[4,5,1,6,3,2]=>[4,3,1,5,2,6]=>{{1,4,5},{2,3},{6}}=>{{1},{2,3,6},{4,5}}
[4,5,2,1,3,6]=>[4,5,6,2,1,3]=>{{1,4},{2,5},{3,6}}=>{{1,4},{2,5},{3,6}}
[4,5,2,1,6,3]=>[4,2,5,3,1,6]=>{{1,4},{2},{3,5},{6}}=>{{1},{2,4},{3,6},{5}}
[4,5,2,3,1,6]=>[4,5,2,6,1,3]=>{{1,4,6},{2,5},{3}}=>{{1,3,6},{2,5},{4}}
[4,5,2,3,6,1]=>[4,2,5,6,1,3]=>{{1,4,6},{2},{3,5}}=>{{1,3,6},{2,4},{5}}
[4,5,2,6,1,3]=>[4,5,2,3,1,6]=>{{1,4},{2,5},{3},{6}}=>{{1},{2,5},{3,6},{4}}
[4,5,2,6,3,1]=>[4,2,1,5,3,6]=>{{1,4,5},{2},{3},{6}}=>{{1},{2,3,6},{4},{5}}
[4,5,3,1,2,6]=>[4,5,6,3,1,2]=>{{1,4},{2,5},{3,6}}=>{{1,4},{2,5},{3,6}}
[4,5,3,1,6,2]=>[4,1,5,3,2,6]=>{{1,4},{2},{3,5},{6}}=>{{1},{2,4},{3,6},{5}}
[4,5,3,2,1,6]=>[4,5,3,2,1,6]=>{{1,4},{2,5},{3},{6}}=>{{1},{2,5},{3,6},{4}}
[4,5,3,2,6,1]=>[4,3,5,2,1,6]=>{{1,4},{2,3,5},{6}}=>{{1},{2,4,5},{3,6}}
[4,5,3,6,1,2]=>[4,5,1,3,2,6]=>{{1,4},{2,5},{3},{6}}=>{{1},{2,5},{3,6},{4}}
[4,5,3,6,2,1]=>[4,3,2,5,1,6]=>{{1,4,5},{2,3},{6}}=>{{1},{2,3,6},{4,5}}
[4,5,6,1,2,3]=>[4,5,6,1,2,3]=>{{1,4},{2,5},{3,6}}=>{{1,4},{2,5},{3,6}}
[4,5,6,1,3,2]=>[4,3,5,1,2,6]=>{{1,4},{2,3,5},{6}}=>{{1},{2,4,5},{3,6}}
[4,5,6,2,1,3]=>[4,5,2,1,3,6]=>{{1,4},{2,5},{3},{6}}=>{{1},{2,5},{3,6},{4}}
[4,5,6,2,3,1]=>[4,2,5,1,3,6]=>{{1,4},{2},{3,5},{6}}=>{{1},{2,4},{3,6},{5}}
[4,5,6,3,1,2]=>[4,5,3,1,2,6]=>{{1,4},{2,5},{3},{6}}=>{{1},{2,5},{3,6},{4}}
[4,5,6,3,2,1]=>[4,3,2,1,5,6]=>{{1,4},{2,3},{5},{6}}=>{{1},{2},{3,6},{4,5}}
[4,6,1,2,3,5]=>[1,2,4,6,3,5]=>{{1},{2},{3,4,6},{5}}=>{{1,3,4},{2},{5},{6}}
[4,6,1,2,5,3]=>[6,1,4,5,2,3]=>{{1,6},{2},{3,4,5}}=>{{1,6},{2,3,4},{5}}
[4,6,1,3,2,5]=>[1,4,3,6,2,5]=>{{1},{2,4,6},{3},{5}}=>{{1,3,5},{2},{4},{6}}
[4,6,1,3,5,2]=>[4,1,3,6,2,5]=>{{1,4,6},{2},{3},{5}}=>{{1,3,6},{2},{4},{5}}
[4,6,1,5,2,3]=>[1,6,4,5,2,3]=>{{1},{2,6},{3,4,5}}=>{{1,5},{2,3,4},{6}}
[4,6,1,5,3,2]=>[6,4,3,5,1,2]=>{{1,6},{2,4,5},{3}}=>{{1,6},{2,3,5},{4}}
[4,6,2,1,3,5]=>[2,4,6,3,1,5]=>{{1,2,4},{3,6},{5}}=>{{1,4},{2},{3,5,6}}
[4,6,2,1,5,3]=>[4,2,6,5,1,3]=>{{1,4,5},{2},{3,6}}=>{{1,4},{2,3,6},{5}}
[4,6,2,3,1,5]=>[2,4,3,6,1,5]=>{{1,2,4,6},{3},{5}}=>{{1,3,5,6},{2},{4}}
[4,6,2,3,5,1]=>[4,2,3,6,1,5]=>{{1,4,6},{2},{3},{5}}=>{{1,3,6},{2},{4},{5}}
[4,6,2,5,1,3]=>[4,6,2,5,1,3]=>{{1,4,5},{2,6},{3}}=>{{1,5},{2,3,6},{4}}
[4,6,2,5,3,1]=>[6,4,2,5,1,3]=>{{1,6},{2,4,5},{3}}=>{{1,6},{2,3,5},{4}}
[4,6,3,1,2,5]=>[1,4,6,3,2,5]=>{{1},{2,4},{3,6},{5}}=>{{1,4},{2},{3,5},{6}}
[4,6,3,1,5,2]=>[4,3,6,5,1,2]=>{{1,4,5},{2,3,6}}=>{{1,4,5},{2,3,6}}
[4,6,3,2,1,5]=>[4,6,3,2,1,5]=>{{1,4},{2,6},{3},{5}}=>{{1,5},{2},{3,6},{4}}
[4,6,3,2,5,1]=>[4,3,6,2,1,5]=>{{1,4},{2,3,6},{5}}=>{{1,4,5},{2},{3,6}}
[4,6,3,5,1,2]=>[4,6,3,5,1,2]=>{{1,4,5},{2,6},{3}}=>{{1,5},{2,3,6},{4}}
[4,6,3,5,2,1]=>[4,3,2,6,1,5]=>{{1,4,6},{2,3},{5}}=>{{1,3,6},{2},{4,5}}
[4,6,5,1,2,3]=>[1,4,6,5,2,3]=>{{1},{2,4,5},{3,6}}=>{{1,4},{2,3,5},{6}}
[4,6,5,1,3,2]=>[6,4,5,3,1,2]=>{{1,6},{2,4},{3,5}}=>{{1,6},{2,4},{3,5}}
[4,6,5,2,1,3]=>[4,6,5,2,1,3]=>{{1,4},{2,6},{3,5}}=>{{1,5},{2,4},{3,6}}
[4,6,5,2,3,1]=>[6,4,5,2,1,3]=>{{1,6},{2,4},{3,5}}=>{{1,6},{2,4},{3,5}}
[4,6,5,3,1,2]=>[4,6,5,3,1,2]=>{{1,4},{2,6},{3,5}}=>{{1,5},{2,4},{3,6}}
[4,6,5,3,2,1]=>[6,4,3,2,1,5]=>{{1,6},{2,4},{3},{5}}=>{{1,6},{2},{3,5},{4}}
[5,1,2,3,4,6]=>[1,2,3,5,6,4]=>{{1},{2},{3},{4,5,6}}=>{{1,2,3},{4},{5},{6}}
[5,1,2,3,6,4]=>[5,1,2,3,6,4]=>{{1,5,6},{2},{3},{4}}=>{{1,2,6},{3},{4},{5}}
[5,1,2,4,3,6]=>[1,5,2,4,6,3]=>{{1},{2,5,6},{3},{4}}=>{{1,2,5},{3},{4},{6}}
[5,1,2,4,6,3]=>[5,1,2,4,6,3]=>{{1,5,6},{2},{3},{4}}=>{{1,2,6},{3},{4},{5}}
[5,1,2,6,3,4]=>[1,5,2,3,6,4]=>{{1},{2,5,6},{3},{4}}=>{{1,2,5},{3},{4},{6}}
[5,1,2,6,4,3]=>[5,4,1,2,6,3]=>{{1,5,6},{2,4},{3}}=>{{1,2,6},{3,5},{4}}
[5,1,3,2,4,6]=>[1,3,5,4,6,2]=>{{1},{2,3,5,6},{4}}=>{{1,2,4,5},{3},{6}}
[5,1,3,2,6,4]=>[5,1,6,3,4,2]=>{{1,5},{2},{3,6},{4}}=>{{1,4},{2,6},{3},{5}}
[5,1,3,4,2,6]=>[1,5,3,4,6,2]=>{{1},{2,5,6},{3},{4}}=>{{1,2,5},{3},{4},{6}}
[5,1,3,4,6,2]=>[5,1,3,4,6,2]=>{{1,5,6},{2},{3},{4}}=>{{1,2,6},{3},{4},{5}}
[5,1,3,6,2,4]=>[5,6,1,3,4,2]=>{{1,5},{2,6},{3},{4}}=>{{1,5},{2,6},{3},{4}}
[5,1,3,6,4,2]=>[5,3,1,2,6,4]=>{{1,5,6},{2,3},{4}}=>{{1,2,6},{3},{4,5}}
[5,1,4,2,3,6]=>[1,2,5,4,6,3]=>{{1},{2},{3,5,6},{4}}=>{{1,2,4},{3},{5},{6}}
[5,1,4,2,6,3]=>[5,1,6,2,4,3]=>{{1,5},{2},{3,6},{4}}=>{{1,4},{2,6},{3},{5}}
[5,1,4,3,2,6]=>[1,5,4,3,6,2]=>{{1},{2,5,6},{3,4}}=>{{1,2,5},{3,4},{6}}
[5,1,4,3,6,2]=>[5,1,4,3,6,2]=>{{1,5,6},{2},{3,4}}=>{{1,2,6},{3,4},{5}}
[5,1,4,6,2,3]=>[5,6,1,2,4,3]=>{{1,5},{2,6},{3},{4}}=>{{1,5},{2,6},{3},{4}}
[5,1,4,6,3,2]=>[5,4,1,3,6,2]=>{{1,5,6},{2,4},{3}}=>{{1,2,6},{3,5},{4}}
[5,1,6,2,3,4]=>[1,2,5,3,6,4]=>{{1},{2},{3,5,6},{4}}=>{{1,2,4},{3},{5},{6}}
[5,1,6,2,4,3]=>[5,1,4,2,6,3]=>{{1,5,6},{2},{3,4}}=>{{1,2,6},{3,4},{5}}
[5,1,6,3,2,4]=>[1,5,3,2,6,4]=>{{1},{2,5,6},{3},{4}}=>{{1,2,5},{3},{4},{6}}
[5,1,6,3,4,2]=>[5,1,3,2,6,4]=>{{1,5,6},{2},{3},{4}}=>{{1,2,6},{3},{4},{5}}
[5,1,6,4,2,3]=>[1,5,4,2,6,3]=>{{1},{2,5,6},{3,4}}=>{{1,2,5},{3,4},{6}}
[5,1,6,4,3,2]=>[5,4,3,1,6,2]=>{{1,5,6},{2,4},{3}}=>{{1,2,6},{3,5},{4}}
[5,2,1,3,4,6]=>[2,3,5,6,4,1]=>{{1,2,3,5},{4,6}}=>{{1,3},{2,4,5,6}}
[5,2,1,3,6,4]=>[5,2,3,6,4,1]=>{{1,5},{2},{3},{4,6}}=>{{1,3},{2,6},{4},{5}}
[5,2,1,4,3,6]=>[2,5,1,6,4,3]=>{{1,2,5},{3},{4,6}}=>{{1,3},{2,5,6},{4}}
[5,2,1,4,6,3]=>[2,1,5,6,4,3]=>{{1,2},{3,5},{4,6}}=>{{1,3},{2,4},{5,6}}
[5,2,1,6,3,4]=>[2,5,3,6,4,1]=>{{1,2,5},{3},{4,6}}=>{{1,3},{2,5,6},{4}}
[5,2,1,6,4,3]=>[5,2,1,6,4,3]=>{{1,5},{2},{3},{4,6}}=>{{1,3},{2,6},{4},{5}}
[5,2,3,1,4,6]=>[2,3,5,4,6,1]=>{{1,2,3,5,6},{4}}=>{{1,2,4,5,6},{3}}
[5,2,3,1,6,4]=>[5,2,6,3,4,1]=>{{1,5},{2},{3,6},{4}}=>{{1,4},{2,6},{3},{5}}
[5,2,3,4,1,6]=>[2,5,3,4,6,1]=>{{1,2,5,6},{3},{4}}=>{{1,2,5,6},{3},{4}}
[5,2,3,4,6,1]=>[5,2,3,4,6,1]=>{{1,5,6},{2},{3},{4}}=>{{1,2,6},{3},{4},{5}}
[5,2,3,6,1,4]=>[5,6,2,3,4,1]=>{{1,5},{2,6},{3},{4}}=>{{1,5},{2,6},{3},{4}}
[5,2,3,6,4,1]=>[5,2,1,3,6,4]=>{{1,5,6},{2},{3},{4}}=>{{1,2,6},{3},{4},{5}}
[5,2,4,1,3,6]=>[2,5,6,1,4,3]=>{{1,2,5},{3,6},{4}}=>{{1,4},{2,5,6},{3}}
[5,2,4,1,6,3]=>[2,1,5,4,6,3]=>{{1,2},{3,5,6},{4}}=>{{1,2,4},{3},{5,6}}
[5,2,4,3,1,6]=>[2,5,4,3,6,1]=>{{1,2,5,6},{3,4}}=>{{1,2,5,6},{3,4}}
[5,2,4,3,6,1]=>[5,2,4,3,6,1]=>{{1,5,6},{2},{3,4}}=>{{1,2,6},{3,4},{5}}
[5,2,4,6,1,3]=>[2,5,1,4,6,3]=>{{1,2,5,6},{3},{4}}=>{{1,2,5,6},{3},{4}}
[5,2,4,6,3,1]=>[5,4,2,3,6,1]=>{{1,5,6},{2,4},{3}}=>{{1,2,6},{3,5},{4}}
[5,2,6,1,3,4]=>[2,5,6,3,4,1]=>{{1,2,5},{3,6},{4}}=>{{1,4},{2,5,6},{3}}
[5,2,6,1,4,3]=>[5,2,6,1,4,3]=>{{1,5},{2},{3,6},{4}}=>{{1,4},{2,6},{3},{5}}
[5,2,6,3,1,4]=>[2,5,3,1,6,4]=>{{1,2,5,6},{3},{4}}=>{{1,2,5,6},{3},{4}}
[5,2,6,3,4,1]=>[5,2,3,1,6,4]=>{{1,5,6},{2},{3},{4}}=>{{1,2,6},{3},{4},{5}}
[5,2,6,4,1,3]=>[5,6,2,1,4,3]=>{{1,5},{2,6},{3},{4}}=>{{1,5},{2,6},{3},{4}}
[5,2,6,4,3,1]=>[5,4,2,1,6,3]=>{{1,5,6},{2,4},{3}}=>{{1,2,6},{3,5},{4}}
[5,3,1,2,4,6]=>[1,3,5,6,4,2]=>{{1},{2,3,5},{4,6}}=>{{1,3},{2,4,5},{6}}
[5,3,1,2,6,4]=>[5,1,3,6,4,2]=>{{1,5},{2},{3},{4,6}}=>{{1,3},{2,6},{4},{5}}
[5,3,1,4,2,6]=>[3,5,1,6,4,2]=>{{1,3},{2,5},{4,6}}=>{{1,3},{2,5},{4,6}}
[5,3,1,4,6,2]=>[3,1,5,6,4,2]=>{{1,3,5},{2},{4,6}}=>{{1,3},{2,4,6},{5}}
[5,3,1,6,2,4]=>[1,5,3,6,4,2]=>{{1},{2,5},{3},{4,6}}=>{{1,3},{2,5},{4},{6}}
[5,3,1,6,4,2]=>[5,3,1,6,4,2]=>{{1,5},{2,3},{4,6}}=>{{1,3},{2,6},{4,5}}
[5,3,2,1,4,6]=>[3,5,6,4,2,1]=>{{1,3,6},{2,5},{4}}=>{{1,4,6},{2,5},{3}}
[5,3,2,1,6,4]=>[5,3,6,4,2,1]=>{{1,5},{2,3,6},{4}}=>{{1,4,5},{2,6},{3}}
[5,3,2,4,1,6]=>[3,5,4,6,2,1]=>{{1,3,4,6},{2,5}}=>{{1,3,4,6},{2,5}}
[5,3,2,4,6,1]=>[5,3,4,6,2,1]=>{{1,5},{2,3,4,6}}=>{{1,3,4,5},{2,6}}
[5,3,2,6,1,4]=>[5,6,3,4,2,1]=>{{1,5},{2,6},{3},{4}}=>{{1,5},{2,6},{3},{4}}
[5,3,2,6,4,1]=>[5,3,2,6,4,1]=>{{1,5},{2,3},{4,6}}=>{{1,3},{2,6},{4,5}}
[5,3,4,1,2,6]=>[3,5,6,1,4,2]=>{{1,3,6},{2,5},{4}}=>{{1,4,6},{2,5},{3}}
[5,3,4,1,6,2]=>[3,1,5,4,6,2]=>{{1,3,5,6},{2},{4}}=>{{1,2,4,6},{3},{5}}
[5,3,4,2,1,6]=>[3,5,4,2,6,1]=>{{1,3,4},{2,5,6}}=>{{1,2,5},{3,4,6}}
[5,3,4,2,6,1]=>[5,3,4,2,6,1]=>{{1,5,6},{2,3,4}}=>{{1,2,6},{3,4,5}}
[5,3,4,6,1,2]=>[3,5,1,4,6,2]=>{{1,3},{2,5,6},{4}}=>{{1,2,5},{3},{4,6}}
[5,3,4,6,2,1]=>[5,3,2,4,6,1]=>{{1,5,6},{2,3},{4}}=>{{1,2,6},{3},{4,5}}
[5,3,6,1,2,4]=>[1,5,6,3,4,2]=>{{1},{2,5},{3,6},{4}}=>{{1,4},{2,5},{3},{6}}
[5,3,6,1,4,2]=>[5,3,6,1,4,2]=>{{1,5},{2,3,6},{4}}=>{{1,4,5},{2,6},{3}}
[5,3,6,2,1,4]=>[5,6,3,2,4,1]=>{{1,5},{2,6},{3},{4}}=>{{1,5},{2,6},{3},{4}}
[5,3,6,2,4,1]=>[5,3,6,2,4,1]=>{{1,5},{2,3,6},{4}}=>{{1,4,5},{2,6},{3}}
[5,3,6,4,1,2]=>[5,6,3,1,4,2]=>{{1,5},{2,6},{3},{4}}=>{{1,5},{2,6},{3},{4}}
[5,3,6,4,2,1]=>[5,3,2,1,6,4]=>{{1,5,6},{2,3},{4}}=>{{1,2,6},{3},{4,5}}
[5,4,1,2,3,6]=>[1,2,5,6,4,3]=>{{1},{2},{3,5},{4,6}}=>{{1,3},{2,4},{5},{6}}
[5,4,1,2,6,3]=>[5,1,2,6,4,3]=>{{1,5},{2},{3},{4,6}}=>{{1,3},{2,6},{4},{5}}
[5,4,1,3,2,6]=>[1,5,4,6,3,2]=>{{1},{2,5},{3,4,6}}=>{{1,3,4},{2,5},{6}}
[5,4,1,3,6,2]=>[5,1,4,6,3,2]=>{{1,5},{2},{3,4,6}}=>{{1,3,4},{2,6},{5}}
[5,4,1,6,2,3]=>[1,5,2,6,4,3]=>{{1},{2,5},{3},{4,6}}=>{{1,3},{2,5},{4},{6}}
[5,4,1,6,3,2]=>[5,4,1,6,3,2]=>{{1,5},{2,4,6},{3}}=>{{1,3,5},{2,6},{4}}
[5,4,2,1,3,6]=>[2,5,6,4,3,1]=>{{1,2,5},{3,6},{4}}=>{{1,4},{2,5,6},{3}}
[5,4,2,1,6,3]=>[5,2,6,4,3,1]=>{{1,5},{2},{3,6},{4}}=>{{1,4},{2,6},{3},{5}}
[5,4,2,3,1,6]=>[2,5,4,6,3,1]=>{{1,2,5},{3,4,6}}=>{{1,3,4},{2,5,6}}
[5,4,2,3,6,1]=>[5,2,4,6,3,1]=>{{1,5},{2},{3,4,6}}=>{{1,3,4},{2,6},{5}}
[5,4,2,6,1,3]=>[5,6,2,4,3,1]=>{{1,5},{2,6},{3},{4}}=>{{1,5},{2,6},{3},{4}}
[5,4,2,6,3,1]=>[5,4,2,6,3,1]=>{{1,5},{2,4,6},{3}}=>{{1,3,5},{2,6},{4}}
[5,4,3,1,2,6]=>[1,5,6,4,3,2]=>{{1},{2,5},{3,6},{4}}=>{{1,4},{2,5},{3},{6}}
[5,4,3,1,6,2]=>[5,1,6,4,3,2]=>{{1,5},{2},{3,6},{4}}=>{{1,4},{2,6},{3},{5}}
[5,4,3,2,1,6]=>[5,6,4,3,2,1]=>{{1,5},{2,6},{3,4}}=>{{1,5},{2,6},{3,4}}
[5,4,3,2,6,1]=>[5,4,6,3,2,1]=>{{1,5},{2,4},{3,6}}=>{{1,4},{2,6},{3,5}}
[5,4,3,6,1,2]=>[5,6,1,4,3,2]=>{{1,5},{2,6},{3},{4}}=>{{1,5},{2,6},{3},{4}}
[5,4,3,6,2,1]=>[5,4,3,6,2,1]=>{{1,5},{2,4,6},{3}}=>{{1,3,5},{2,6},{4}}
[5,4,6,1,2,3]=>[1,5,6,2,4,3]=>{{1},{2,5},{3,6},{4}}=>{{1,4},{2,5},{3},{6}}
[5,4,6,1,3,2]=>[5,4,6,1,3,2]=>{{1,5},{2,4},{3,6}}=>{{1,4},{2,6},{3,5}}
[5,4,6,2,1,3]=>[5,6,4,2,3,1]=>{{1,5},{2,6},{3,4}}=>{{1,5},{2,6},{3,4}}
[5,4,6,2,3,1]=>[5,4,6,2,3,1]=>{{1,5},{2,4},{3,6}}=>{{1,4},{2,6},{3,5}}
[5,4,6,3,1,2]=>[5,6,4,1,3,2]=>{{1,5},{2,6},{3,4}}=>{{1,5},{2,6},{3,4}}
[5,4,6,3,2,1]=>[5,4,3,2,6,1]=>{{1,5,6},{2,4},{3}}=>{{1,2,6},{3,5},{4}}
[5,6,1,2,3,4]=>[1,2,5,6,3,4]=>{{1},{2},{3,5},{4,6}}=>{{1,3},{2,4},{5},{6}}
[5,6,1,2,4,3]=>[5,1,4,6,2,3]=>{{1,5},{2},{3,4,6}}=>{{1,3,4},{2,6},{5}}
[5,6,1,3,2,4]=>[1,5,3,6,2,4]=>{{1},{2,5},{3},{4,6}}=>{{1,3},{2,5},{4},{6}}
[5,6,1,3,4,2]=>[5,1,3,6,2,4]=>{{1,5},{2},{3},{4,6}}=>{{1,3},{2,6},{4},{5}}
[5,6,1,4,2,3]=>[1,5,4,6,2,3]=>{{1},{2,5},{3,4,6}}=>{{1,3,4},{2,5},{6}}
[5,6,1,4,3,2]=>[5,4,3,6,1,2]=>{{1,5},{2,4,6},{3}}=>{{1,3,5},{2,6},{4}}
[5,6,2,1,3,4]=>[2,5,6,3,1,4]=>{{1,2,5},{3,6},{4}}=>{{1,4},{2,5,6},{3}}
[5,6,2,1,4,3]=>[5,2,6,4,1,3]=>{{1,5},{2},{3,6},{4}}=>{{1,4},{2,6},{3},{5}}
[5,6,2,3,1,4]=>[2,5,3,6,1,4]=>{{1,2,5},{3},{4,6}}=>{{1,3},{2,5,6},{4}}
[5,6,2,3,4,1]=>[5,2,3,6,1,4]=>{{1,5},{2},{3},{4,6}}=>{{1,3},{2,6},{4},{5}}
[5,6,2,4,1,3]=>[5,6,2,4,1,3]=>{{1,5},{2,6},{3},{4}}=>{{1,5},{2,6},{3},{4}}
[5,6,2,4,3,1]=>[5,4,2,6,1,3]=>{{1,5},{2,4,6},{3}}=>{{1,3,5},{2,6},{4}}
[5,6,3,1,2,4]=>[1,5,6,3,2,4]=>{{1},{2,5},{3,6},{4}}=>{{1,4},{2,5},{3},{6}}
[5,6,3,1,4,2]=>[5,3,6,4,1,2]=>{{1,5},{2,3,6},{4}}=>{{1,4,5},{2,6},{3}}
[5,6,3,2,1,4]=>[5,6,3,2,1,4]=>{{1,5},{2,6},{3},{4}}=>{{1,5},{2,6},{3},{4}}
[5,6,3,2,4,1]=>[5,3,6,2,1,4]=>{{1,5},{2,3,6},{4}}=>{{1,4,5},{2,6},{3}}
[5,6,3,4,1,2]=>[5,6,3,4,1,2]=>{{1,5},{2,6},{3},{4}}=>{{1,5},{2,6},{3},{4}}
[5,6,3,4,2,1]=>[5,3,2,6,1,4]=>{{1,5},{2,3},{4,6}}=>{{1,3},{2,6},{4,5}}
[5,6,4,1,2,3]=>[1,5,6,4,2,3]=>{{1},{2,5},{3,6},{4}}=>{{1,4},{2,5},{3},{6}}
[5,6,4,1,3,2]=>[5,4,6,3,1,2]=>{{1,5},{2,4},{3,6}}=>{{1,4},{2,6},{3,5}}
[5,6,4,2,1,3]=>[5,6,4,2,1,3]=>{{1,5},{2,6},{3,4}}=>{{1,5},{2,6},{3,4}}
[5,6,4,2,3,1]=>[5,4,6,2,1,3]=>{{1,5},{2,4},{3,6}}=>{{1,4},{2,6},{3,5}}
[5,6,4,3,1,2]=>[5,6,4,3,1,2]=>{{1,5},{2,6},{3,4}}=>{{1,5},{2,6},{3,4}}
[5,6,4,3,2,1]=>[5,4,3,2,1,6]=>{{1,5},{2,4},{3},{6}}=>{{1},{2,6},{3,5},{4}}
[6,1,2,3,4,5]=>[1,2,3,4,6,5]=>{{1},{2},{3},{4},{5,6}}=>{{1,2},{3},{4},{5},{6}}
[6,1,2,3,5,4]=>[6,1,2,3,5,4]=>{{1,6},{2},{3},{4},{5}}=>{{1,6},{2},{3},{4},{5}}
[6,1,2,4,3,5]=>[1,6,2,4,5,3]=>{{1},{2,6},{3},{4},{5}}=>{{1,5},{2},{3},{4},{6}}
[6,1,2,4,5,3]=>[6,1,2,4,5,3]=>{{1,6},{2},{3},{4},{5}}=>{{1,6},{2},{3},{4},{5}}
[6,1,2,5,3,4]=>[1,6,2,3,5,4]=>{{1},{2,6},{3},{4},{5}}=>{{1,5},{2},{3},{4},{6}}
[6,1,2,5,4,3]=>[6,5,1,2,4,3]=>{{1,6},{2,5},{3},{4}}=>{{1,6},{2,5},{3},{4}}
[6,1,3,2,4,5]=>[1,3,6,4,5,2]=>{{1},{2,3,6},{4},{5}}=>{{1,4,5},{2},{3},{6}}
[6,1,3,2,5,4]=>[3,1,6,2,5,4]=>{{1,3,6},{2},{4},{5}}=>{{1,4,6},{2},{3},{5}}
[6,1,3,4,2,5]=>[1,6,3,4,5,2]=>{{1},{2,6},{3},{4},{5}}=>{{1,5},{2},{3},{4},{6}}
[6,1,3,4,5,2]=>[6,1,3,4,5,2]=>{{1,6},{2},{3},{4},{5}}=>{{1,6},{2},{3},{4},{5}}
[6,1,3,5,2,4]=>[3,6,1,2,5,4]=>{{1,3},{2,6},{4},{5}}=>{{1,5},{2},{3},{4,6}}
[6,1,3,5,4,2]=>[6,5,1,3,4,2]=>{{1,6},{2,5},{3},{4}}=>{{1,6},{2,5},{3},{4}}
[6,1,4,2,3,5]=>[1,2,6,4,5,3]=>{{1},{2},{3,6},{4},{5}}=>{{1,4},{2},{3},{5},{6}}
[6,1,4,2,5,3]=>[4,1,6,2,5,3]=>{{1,4},{2},{3,6},{5}}=>{{1,4},{2},{3,6},{5}}
[6,1,4,3,2,5]=>[1,6,4,3,5,2]=>{{1},{2,6},{3,4},{5}}=>{{1,5},{2},{3,4},{6}}
[6,1,4,3,5,2]=>[6,1,4,3,5,2]=>{{1,6},{2},{3,4},{5}}=>{{1,6},{2},{3,4},{5}}
[6,1,4,5,2,3]=>[4,6,1,2,5,3]=>{{1,4},{2,6},{3},{5}}=>{{1,5},{2},{3,6},{4}}
[6,1,4,5,3,2]=>[6,4,1,3,5,2]=>{{1,6},{2,4},{3},{5}}=>{{1,6},{2},{3,5},{4}}
[6,1,5,2,3,4]=>[1,2,6,3,5,4]=>{{1},{2},{3,6},{4},{5}}=>{{1,4},{2},{3},{5},{6}}
[6,1,5,2,4,3]=>[6,1,5,2,4,3]=>{{1,6},{2},{3,5},{4}}=>{{1,6},{2,4},{3},{5}}
[6,1,5,3,2,4]=>[1,6,5,3,4,2]=>{{1},{2,6},{3,5},{4}}=>{{1,5},{2,4},{3},{6}}
[6,1,5,3,4,2]=>[6,1,5,3,4,2]=>{{1,6},{2},{3,5},{4}}=>{{1,6},{2,4},{3},{5}}
[6,1,5,4,2,3]=>[1,6,5,2,4,3]=>{{1},{2,6},{3,5},{4}}=>{{1,5},{2,4},{3},{6}}
[6,1,5,4,3,2]=>[6,5,4,1,3,2]=>{{1,6},{2,5},{3,4}}=>{{1,6},{2,5},{3,4}}
[6,2,1,3,4,5]=>[2,3,4,6,5,1]=>{{1,2,3,4,6},{5}}=>{{1,3,4,5,6},{2}}
[6,2,1,3,5,4]=>[2,1,3,6,5,4]=>{{1,2},{3},{4,6},{5}}=>{{1,3},{2},{4},{5,6}}
[6,2,1,4,3,5]=>[2,4,1,6,5,3]=>{{1,2,4,6},{3},{5}}=>{{1,3,5,6},{2},{4}}
[6,2,1,4,5,3]=>[2,1,4,6,5,3]=>{{1,2},{3,4,6},{5}}=>{{1,3,4},{2},{5,6}}
[6,2,1,5,3,4]=>[2,3,1,6,5,4]=>{{1,2,3},{4,6},{5}}=>{{1,3},{2},{4,5,6}}
[6,2,1,5,4,3]=>[6,2,1,5,4,3]=>{{1,6},{2},{3},{4,5}}=>{{1,6},{2,3},{4},{5}}
[6,2,3,1,4,5]=>[2,3,6,4,5,1]=>{{1,2,3,6},{4},{5}}=>{{1,4,5,6},{2},{3}}
[6,2,3,1,5,4]=>[2,1,6,3,5,4]=>{{1,2},{3,6},{4},{5}}=>{{1,4},{2},{3},{5,6}}
[6,2,3,4,1,5]=>[2,6,3,4,5,1]=>{{1,2,6},{3},{4},{5}}=>{{1,5,6},{2},{3},{4}}
[6,2,3,4,5,1]=>[6,2,3,4,5,1]=>{{1,6},{2},{3},{4},{5}}=>{{1,6},{2},{3},{4},{5}}
[6,2,3,5,1,4]=>[2,6,1,3,5,4]=>{{1,2,6},{3},{4},{5}}=>{{1,5,6},{2},{3},{4}}
[6,2,3,5,4,1]=>[6,5,2,3,4,1]=>{{1,6},{2,5},{3},{4}}=>{{1,6},{2,5},{3},{4}}
[6,2,4,1,3,5]=>[2,4,6,1,5,3]=>{{1,2,4},{3,6},{5}}=>{{1,4},{2},{3,5,6}}
[6,2,4,1,5,3]=>[2,1,6,4,5,3]=>{{1,2},{3,6},{4},{5}}=>{{1,4},{2},{3},{5,6}}
[6,2,4,3,1,5]=>[2,6,4,3,5,1]=>{{1,2,6},{3,4},{5}}=>{{1,5,6},{2},{3,4}}
[6,2,4,3,5,1]=>[6,2,4,3,5,1]=>{{1,6},{2},{3,4},{5}}=>{{1,6},{2},{3,4},{5}}
[6,2,4,5,1,3]=>[2,6,1,4,5,3]=>{{1,2,6},{3},{4},{5}}=>{{1,5,6},{2},{3},{4}}
[6,2,4,5,3,1]=>[6,4,2,3,5,1]=>{{1,6},{2,4},{3},{5}}=>{{1,6},{2},{3,5},{4}}
[6,2,5,1,3,4]=>[2,3,6,1,5,4]=>{{1,2,3,6},{4},{5}}=>{{1,4,5,6},{2},{3}}
[6,2,5,1,4,3]=>[6,2,5,1,4,3]=>{{1,6},{2},{3,5},{4}}=>{{1,6},{2,4},{3},{5}}
[6,2,5,3,1,4]=>[2,6,5,3,4,1]=>{{1,2,6},{3,5},{4}}=>{{1,5,6},{2,4},{3}}
[6,2,5,3,4,1]=>[6,2,5,3,4,1]=>{{1,6},{2},{3,5},{4}}=>{{1,6},{2,4},{3},{5}}
[6,2,5,4,1,3]=>[2,6,5,1,4,3]=>{{1,2,6},{3,5},{4}}=>{{1,5,6},{2,4},{3}}
[6,2,5,4,3,1]=>[6,5,4,2,3,1]=>{{1,6},{2,5},{3,4}}=>{{1,6},{2,5},{3,4}}
[6,3,1,2,4,5]=>[1,3,4,6,5,2]=>{{1},{2,3,4,6},{5}}=>{{1,3,4,5},{2},{6}}
[6,3,1,2,5,4]=>[3,1,2,6,5,4]=>{{1,3},{2},{4,6},{5}}=>{{1,3},{2},{4,6},{5}}
[6,3,1,4,2,5]=>[3,4,1,6,5,2]=>{{1,3},{2,4,6},{5}}=>{{1,3,5},{2},{4,6}}
[6,3,1,4,5,2]=>[3,1,4,6,5,2]=>{{1,3,4,6},{2},{5}}=>{{1,3,4,6},{2},{5}}
[6,3,1,5,2,4]=>[1,3,2,6,5,4]=>{{1},{2,3},{4,6},{5}}=>{{1,3},{2},{4,5},{6}}
[6,3,1,5,4,2]=>[6,3,1,5,4,2]=>{{1,6},{2,3},{4,5}}=>{{1,6},{2,3},{4,5}}
[6,3,2,1,4,5]=>[3,4,6,5,2,1]=>{{1,3,6},{2,4,5}}=>{{1,4,6},{2,3,5}}
[6,3,2,1,5,4]=>[3,2,6,5,4,1]=>{{1,3,6},{2},{4,5}}=>{{1,4,6},{2,3},{5}}
[6,3,2,4,1,5]=>[3,6,4,5,2,1]=>{{1,3,4,5},{2,6}}=>{{1,5},{2,3,4,6}}
[6,3,2,4,5,1]=>[6,3,4,5,2,1]=>{{1,6},{2,3,4,5}}=>{{1,6},{2,3,4,5}}
[6,3,2,5,1,4]=>[3,6,2,5,4,1]=>{{1,3},{2,6},{4,5}}=>{{1,5},{2,3},{4,6}}
[6,3,2,5,4,1]=>[6,3,2,5,4,1]=>{{1,6},{2,3},{4,5}}=>{{1,6},{2,3},{4,5}}
[6,3,4,1,2,5]=>[3,4,6,1,5,2]=>{{1,3,6},{2,4},{5}}=>{{1,4,6},{2},{3,5}}
[6,3,4,1,5,2]=>[3,1,6,4,5,2]=>{{1,3,6},{2},{4},{5}}=>{{1,4,6},{2},{3},{5}}
[6,3,4,2,1,5]=>[3,6,4,2,5,1]=>{{1,3,4},{2,6},{5}}=>{{1,5},{2},{3,4,6}}
[6,3,4,2,5,1]=>[6,3,4,2,5,1]=>{{1,6},{2,3,4},{5}}=>{{1,6},{2},{3,4,5}}
[6,3,4,5,1,2]=>[3,6,1,4,5,2]=>{{1,3},{2,6},{4},{5}}=>{{1,5},{2},{3},{4,6}}
[6,3,4,5,2,1]=>[6,3,2,4,5,1]=>{{1,6},{2,3},{4},{5}}=>{{1,6},{2},{3},{4,5}}
[6,3,5,1,2,4]=>[1,3,6,2,5,4]=>{{1},{2,3,6},{4},{5}}=>{{1,4,5},{2},{3},{6}}
[6,3,5,1,4,2]=>[6,3,5,1,4,2]=>{{1,6},{2,3,5},{4}}=>{{1,6},{2,4,5},{3}}
[6,3,5,2,1,4]=>[3,6,5,2,4,1]=>{{1,3,5},{2,6},{4}}=>{{1,5},{2,4,6},{3}}
[6,3,5,2,4,1]=>[6,3,5,2,4,1]=>{{1,6},{2,3,5},{4}}=>{{1,6},{2,4,5},{3}}
[6,3,5,4,1,2]=>[3,6,5,1,4,2]=>{{1,3,5},{2,6},{4}}=>{{1,5},{2,4,6},{3}}
[6,3,5,4,2,1]=>[6,5,3,2,4,1]=>{{1,6},{2,5},{3},{4}}=>{{1,6},{2,5},{3},{4}}
[6,4,1,2,3,5]=>[1,2,4,6,5,3]=>{{1},{2},{3,4,6},{5}}=>{{1,3,4},{2},{5},{6}}
[6,4,1,2,5,3]=>[4,1,2,6,5,3]=>{{1,4,6},{2},{3},{5}}=>{{1,3,6},{2},{4},{5}}
[6,4,1,3,2,5]=>[1,6,4,5,3,2]=>{{1},{2,6},{3,4,5}}=>{{1,5},{2,3,4},{6}}
[6,4,1,3,5,2]=>[6,1,4,5,3,2]=>{{1,6},{2},{3,4,5}}=>{{1,6},{2,3,4},{5}}
[6,4,1,5,2,3]=>[1,4,2,6,5,3]=>{{1},{2,4,6},{3},{5}}=>{{1,3,5},{2},{4},{6}}
[6,4,1,5,3,2]=>[6,4,1,5,3,2]=>{{1,6},{2,4,5},{3}}=>{{1,6},{2,3,5},{4}}
[6,4,2,1,3,5]=>[2,4,6,5,3,1]=>{{1,2,4,5},{3,6}}=>{{1,4},{2,3,5,6}}
[6,4,2,1,5,3]=>[4,2,6,5,3,1]=>{{1,4,5},{2},{3,6}}=>{{1,4},{2,3,6},{5}}
[6,4,2,3,1,5]=>[2,6,4,5,3,1]=>{{1,2,6},{3,4,5}}=>{{1,5,6},{2,3,4}}
[6,4,2,3,5,1]=>[6,2,4,5,3,1]=>{{1,6},{2},{3,4,5}}=>{{1,6},{2,3,4},{5}}
[6,4,2,5,1,3]=>[4,6,2,5,3,1]=>{{1,4,5},{2,6},{3}}=>{{1,5},{2,3,6},{4}}
[6,4,2,5,3,1]=>[6,4,2,5,3,1]=>{{1,6},{2,4,5},{3}}=>{{1,6},{2,3,5},{4}}
[6,4,3,1,2,5]=>[1,4,6,5,3,2]=>{{1},{2,4,5},{3,6}}=>{{1,4},{2,3,5},{6}}
[6,4,3,1,5,2]=>[4,1,6,5,3,2]=>{{1,4,5},{2},{3,6}}=>{{1,4},{2,3,6},{5}}
[6,4,3,2,1,5]=>[4,6,5,3,2,1]=>{{1,4},{2,6},{3,5}}=>{{1,5},{2,4},{3,6}}
[6,4,3,2,5,1]=>[6,4,5,3,2,1]=>{{1,6},{2,4},{3,5}}=>{{1,6},{2,4},{3,5}}
[6,4,3,5,1,2]=>[4,6,1,5,3,2]=>{{1,4,5},{2,6},{3}}=>{{1,5},{2,3,6},{4}}
[6,4,3,5,2,1]=>[6,4,3,5,2,1]=>{{1,6},{2,4,5},{3}}=>{{1,6},{2,3,5},{4}}
[6,4,5,1,2,3]=>[1,4,6,2,5,3]=>{{1},{2,4},{3,6},{5}}=>{{1,4},{2},{3,5},{6}}
[6,4,5,1,3,2]=>[6,4,5,1,3,2]=>{{1,6},{2,4},{3,5}}=>{{1,6},{2,4},{3,5}}
[6,4,5,2,1,3]=>[4,6,5,2,3,1]=>{{1,4},{2,6},{3,5}}=>{{1,5},{2,4},{3,6}}
[6,4,5,2,3,1]=>[6,4,5,2,3,1]=>{{1,6},{2,4},{3,5}}=>{{1,6},{2,4},{3,5}}
[6,4,5,3,1,2]=>[4,6,5,1,3,2]=>{{1,4},{2,6},{3,5}}=>{{1,5},{2,4},{3,6}}
[6,4,5,3,2,1]=>[6,4,3,2,5,1]=>{{1,6},{2,4},{3},{5}}=>{{1,6},{2},{3,5},{4}}
[6,5,1,2,3,4]=>[1,2,3,6,5,4]=>{{1},{2},{3},{4,6},{5}}=>{{1,3},{2},{4},{5},{6}}
[6,5,1,2,4,3]=>[6,1,2,5,4,3]=>{{1,6},{2},{3},{4,5}}=>{{1,6},{2,3},{4},{5}}
[6,5,1,3,2,4]=>[1,6,3,5,4,2]=>{{1},{2,6},{3},{4,5}}=>{{1,5},{2,3},{4},{6}}
[6,5,1,3,4,2]=>[6,1,3,5,4,2]=>{{1,6},{2},{3},{4,5}}=>{{1,6},{2,3},{4},{5}}
[6,5,1,4,2,3]=>[1,6,2,5,4,3]=>{{1},{2,6},{3},{4,5}}=>{{1,5},{2,3},{4},{6}}
[6,5,1,4,3,2]=>[6,5,1,4,3,2]=>{{1,6},{2,5},{3},{4}}=>{{1,6},{2,5},{3},{4}}
[6,5,2,1,3,4]=>[2,3,6,5,4,1]=>{{1,2,3,6},{4,5}}=>{{1,4,5,6},{2,3}}
[6,5,2,1,4,3]=>[2,1,6,5,4,3]=>{{1,2},{3,6},{4,5}}=>{{1,4},{2,3},{5,6}}
[6,5,2,3,1,4]=>[2,6,3,5,4,1]=>{{1,2,6},{3},{4,5}}=>{{1,5,6},{2,3},{4}}
[6,5,2,3,4,1]=>[6,2,3,5,4,1]=>{{1,6},{2},{3},{4,5}}=>{{1,6},{2,3},{4},{5}}
[6,5,2,4,1,3]=>[2,6,1,5,4,3]=>{{1,2,6},{3},{4,5}}=>{{1,5,6},{2,3},{4}}
[6,5,2,4,3,1]=>[6,5,2,4,3,1]=>{{1,6},{2,5},{3},{4}}=>{{1,6},{2,5},{3},{4}}
[6,5,3,1,2,4]=>[1,3,6,5,4,2]=>{{1},{2,3,6},{4,5}}=>{{1,4,5},{2,3},{6}}
[6,5,3,1,4,2]=>[3,1,6,5,4,2]=>{{1,3,6},{2},{4,5}}=>{{1,4,6},{2,3},{5}}
[6,5,3,2,1,4]=>[3,6,5,4,2,1]=>{{1,3,5},{2,6},{4}}=>{{1,5},{2,4,6},{3}}
[6,5,3,2,4,1]=>[6,3,5,4,2,1]=>{{1,6},{2,3,5},{4}}=>{{1,6},{2,4,5},{3}}
[6,5,3,4,1,2]=>[3,6,1,5,4,2]=>{{1,3},{2,6},{4,5}}=>{{1,5},{2,3},{4,6}}
[6,5,3,4,2,1]=>[6,5,3,4,2,1]=>{{1,6},{2,5},{3},{4}}=>{{1,6},{2,5},{3},{4}}
[6,5,4,1,2,3]=>[1,2,6,5,4,3]=>{{1},{2},{3,6},{4,5}}=>{{1,4},{2,3},{5},{6}}
[6,5,4,1,3,2]=>[6,1,5,4,3,2]=>{{1,6},{2},{3,5},{4}}=>{{1,6},{2,4},{3},{5}}
[6,5,4,2,1,3]=>[2,6,5,4,3,1]=>{{1,2,6},{3,5},{4}}=>{{1,5,6},{2,4},{3}}
[6,5,4,2,3,1]=>[6,2,5,4,3,1]=>{{1,6},{2},{3,5},{4}}=>{{1,6},{2,4},{3},{5}}
[6,5,4,3,1,2]=>[1,6,5,4,3,2]=>{{1},{2,6},{3,5},{4}}=>{{1,5},{2,4},{3},{6}}
[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>{{1,6},{2,5},{3,4}}
[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>{{1},{2},{3},{4},{5},{6},{7}}=>{{1},{2},{3},{4},{5},{6},{7}}
[1,2,3,4,5,7,6]=>[7,1,2,3,4,5,6]=>{{1,7},{2},{3},{4},{5},{6}}=>{{1,7},{2},{3},{4},{5},{6}}
[1,2,3,4,6,5,7]=>[1,6,2,3,4,5,7]=>{{1},{2,6},{3},{4},{5},{7}}=>{{1},{2,6},{3},{4},{5},{7}}
[1,2,3,4,6,7,5]=>[6,1,2,3,4,5,7]=>{{1,6},{2},{3},{4},{5},{7}}=>{{1},{2,7},{3},{4},{5},{6}}
[1,2,3,4,7,5,6]=>[1,7,2,3,4,5,6]=>{{1},{2,7},{3},{4},{5},{6}}=>{{1,6},{2},{3},{4},{5},{7}}
[1,2,3,4,7,6,5]=>[7,6,1,2,3,4,5]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[1,2,3,5,4,6,7]=>[1,2,5,3,4,6,7]=>{{1},{2},{3,5},{4},{6},{7}}=>{{1},{2},{3,5},{4},{6},{7}}
[1,2,3,5,4,7,6]=>[5,1,7,2,3,4,6]=>{{1,5},{2},{3,7},{4},{6}}=>{{1,5},{2},{3,7},{4},{6}}
[1,2,3,5,6,4,7]=>[1,5,2,3,4,6,7]=>{{1},{2,5},{3},{4},{6},{7}}=>{{1},{2},{3,6},{4},{5},{7}}
[1,2,3,5,6,7,4]=>[5,1,2,3,4,6,7]=>{{1,5},{2},{3},{4},{6},{7}}=>{{1},{2},{3,7},{4},{5},{6}}
[1,2,3,5,7,4,6]=>[5,7,1,2,3,4,6]=>{{1,5},{2,7},{3},{4},{6}}=>{{1,6},{2},{3,7},{4},{5}}
[1,2,3,5,7,6,4]=>[7,5,1,2,3,4,6]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,7},{2},{3,6},{4},{5}}
[1,2,3,6,4,5,7]=>[1,2,6,3,4,5,7]=>{{1},{2},{3,6},{4},{5},{7}}=>{{1},{2,5},{3},{4},{6},{7}}
[1,2,3,6,4,7,5]=>[6,1,7,2,3,4,5]=>{{1,6},{2},{3,7},{4},{5}}=>{{1,5},{2,7},{3},{4},{6}}
[1,2,3,6,5,4,7]=>[1,6,5,2,3,4,7]=>{{1},{2,6},{3,5},{4},{7}}=>{{1},{2,6},{3,5},{4},{7}}
[1,2,3,6,5,7,4]=>[6,1,5,2,3,4,7]=>{{1,6},{2},{3,5},{4},{7}}=>{{1},{2,7},{3,5},{4},{6}}
[1,2,3,6,7,4,5]=>[6,7,1,2,3,4,5]=>{{1,6},{2,7},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}
[1,2,3,6,7,5,4]=>[6,5,1,2,3,4,7]=>{{1,6},{2,5},{3},{4},{7}}=>{{1},{2,7},{3,6},{4},{5}}
[1,2,3,7,4,5,6]=>[1,2,7,3,4,5,6]=>{{1},{2},{3,7},{4},{5},{6}}=>{{1,5},{2},{3},{4},{6},{7}}
[1,2,3,7,4,6,5]=>[7,1,6,2,3,4,5]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,7},{2,5},{3},{4},{6}}
[1,2,3,7,5,4,6]=>[1,7,5,2,3,4,6]=>{{1},{2,7},{3,5},{4},{6}}=>{{1,6},{2},{3,5},{4},{7}}
[1,2,3,7,5,6,4]=>[7,1,5,2,3,4,6]=>{{1,7},{2},{3,5},{4},{6}}=>{{1,7},{2},{3,5},{4},{6}}
[1,2,3,7,6,4,5]=>[1,7,6,2,3,4,5]=>{{1},{2,7},{3,6},{4},{5}}=>{{1,6},{2,5},{3},{4},{7}}
[1,2,3,7,6,5,4]=>[7,6,5,1,2,3,4]=>{{1,7},{2,6},{3,5},{4}}=>{{1,7},{2,6},{3,5},{4}}
[1,2,4,3,5,6,7]=>[1,2,4,5,3,6,7]=>{{1},{2},{3,4,5},{6},{7}}=>{{1},{2},{3,4,5},{6},{7}}
[1,2,4,3,5,7,6]=>[4,1,2,7,3,5,6]=>{{1,4,7},{2},{3},{5},{6}}=>{{1,4,7},{2},{3},{5},{6}}
[1,2,4,3,6,5,7]=>[1,4,2,6,3,5,7]=>{{1},{2,4,6},{3},{5},{7}}=>{{1},{2,4,6},{3},{5},{7}}
[1,2,4,3,6,7,5]=>[4,1,2,6,3,5,7]=>{{1,4,6},{2},{3},{5},{7}}=>{{1},{2,4,7},{3},{5},{6}}
[1,2,4,3,7,5,6]=>[1,4,2,7,3,5,6]=>{{1},{2,4,7},{3},{5},{6}}=>{{1,4,6},{2},{3},{5},{7}}
[1,2,4,3,7,6,5]=>[7,4,1,6,2,3,5]=>{{1,7},{2,4,6},{3},{5}}=>{{1,7},{2,4,6},{3},{5}}
[1,2,4,5,3,6,7]=>[1,2,4,3,5,6,7]=>{{1},{2},{3,4},{5},{6},{7}}=>{{1},{2},{3},{4,5},{6},{7}}
[1,2,4,5,3,7,6]=>[4,1,7,2,3,5,6]=>{{1,4},{2},{3,7},{5},{6}}=>{{1,5},{2},{3},{4,7},{6}}
[1,2,4,5,6,3,7]=>[1,4,2,3,5,6,7]=>{{1},{2,4},{3},{5},{6},{7}}=>{{1},{2},{3},{4,6},{5},{7}}
[1,2,4,5,6,7,3]=>[4,1,2,3,5,6,7]=>{{1,4},{2},{3},{5},{6},{7}}=>{{1},{2},{3},{4,7},{5},{6}}
[1,2,4,5,7,3,6]=>[4,7,1,2,3,5,6]=>{{1,4},{2,7},{3},{5},{6}}=>{{1,6},{2},{3},{4,7},{5}}
[1,2,4,5,7,6,3]=>[7,4,1,2,3,5,6]=>{{1,7},{2,4},{3},{5},{6}}=>{{1,7},{2},{3},{4,6},{5}}
[1,2,4,6,3,5,7]=>[1,4,6,2,3,5,7]=>{{1},{2,4},{3,6},{5},{7}}=>{{1},{2,5},{3},{4,6},{7}}
[1,2,4,6,3,7,5]=>[4,1,6,2,3,5,7]=>{{1,4},{2},{3,6},{5},{7}}=>{{1},{2,5},{3},{4,7},{6}}
[1,2,4,6,5,3,7]=>[1,6,4,2,3,5,7]=>{{1},{2,6},{3,4},{5},{7}}=>{{1},{2,6},{3},{4,5},{7}}
[1,2,4,6,5,7,3]=>[6,1,4,2,3,5,7]=>{{1,6},{2},{3,4},{5},{7}}=>{{1},{2,7},{3},{4,5},{6}}
[1,2,4,6,7,3,5]=>[4,6,1,2,3,5,7]=>{{1,4},{2,6},{3},{5},{7}}=>{{1},{2,6},{3},{4,7},{5}}
[1,2,4,6,7,5,3]=>[6,4,1,2,3,5,7]=>{{1,6},{2,4},{3},{5},{7}}=>{{1},{2,7},{3},{4,6},{5}}
[1,2,4,7,3,5,6]=>[1,4,7,2,3,5,6]=>{{1},{2,4},{3,7},{5},{6}}=>{{1,5},{2},{3},{4,6},{7}}
[1,2,4,7,3,6,5]=>[7,4,6,1,2,3,5]=>{{1,7},{2,4},{3,6},{5}}=>{{1,7},{2,5},{3},{4,6}}
[1,2,4,7,5,3,6]=>[1,7,4,2,3,5,6]=>{{1},{2,7},{3,4},{5},{6}}=>{{1,6},{2},{3},{4,5},{7}}
[1,2,4,7,5,6,3]=>[7,1,4,2,3,5,6]=>{{1,7},{2},{3,4},{5},{6}}=>{{1,7},{2},{3},{4,5},{6}}
[1,2,4,7,6,3,5]=>[4,7,6,1,2,3,5]=>{{1,4},{2,7},{3,6},{5}}=>{{1,6},{2,5},{3},{4,7}}
[1,2,4,7,6,5,3]=>[7,6,4,1,2,3,5]=>{{1,7},{2,6},{3,4},{5}}=>{{1,7},{2,6},{3},{4,5}}
[1,2,5,3,4,6,7]=>[1,2,3,5,4,6,7]=>{{1},{2},{3},{4,5},{6},{7}}=>{{1},{2},{3,4},{5},{6},{7}}
[1,2,5,3,4,7,6]=>[5,1,2,7,3,4,6]=>{{1,5},{2},{3},{4,7},{6}}=>{{1,4},{2},{3,7},{5},{6}}
[1,2,5,3,6,4,7]=>[1,5,2,6,3,4,7]=>{{1},{2,5},{3},{4,6},{7}}=>{{1},{2,4},{3,6},{5},{7}}
[1,2,5,3,6,7,4]=>[5,1,2,6,3,4,7]=>{{1,5},{2},{3},{4,6},{7}}=>{{1},{2,4},{3,7},{5},{6}}
[1,2,5,3,7,4,6]=>[1,5,2,7,3,4,6]=>{{1},{2,5},{3},{4,7},{6}}=>{{1,4},{2},{3,6},{5},{7}}
[1,2,5,3,7,6,4]=>[7,5,1,6,2,3,4]=>{{1,7},{2,5},{3},{4,6}}=>{{1,7},{2,4},{3,6},{5}}
[1,2,5,4,3,6,7]=>[1,2,5,4,3,6,7]=>{{1},{2},{3,5},{4},{6},{7}}=>{{1},{2},{3,5},{4},{6},{7}}
[1,2,5,4,3,7,6]=>[5,1,7,4,2,3,6]=>{{1,5},{2},{3,7},{4},{6}}=>{{1,5},{2},{3,7},{4},{6}}
[1,2,5,4,6,3,7]=>[1,5,2,4,3,6,7]=>{{1},{2,5},{3},{4},{6},{7}}=>{{1},{2},{3,6},{4},{5},{7}}
[1,2,5,4,6,7,3]=>[5,1,2,4,3,6,7]=>{{1,5},{2},{3},{4},{6},{7}}=>{{1},{2},{3,7},{4},{5},{6}}
[1,2,5,4,7,3,6]=>[5,7,1,4,2,3,6]=>{{1,5},{2,7},{3},{4},{6}}=>{{1,6},{2},{3,7},{4},{5}}
[1,2,5,4,7,6,3]=>[5,4,1,7,2,3,6]=>{{1,5},{2,4,7},{3},{6}}=>{{1,4,6},{2},{3,7},{5}}
[1,2,5,6,3,4,7]=>[1,5,6,2,3,4,7]=>{{1},{2,5},{3,6},{4},{7}}=>{{1},{2,5},{3,6},{4},{7}}
[1,2,5,6,3,7,4]=>[5,1,6,2,3,4,7]=>{{1,5},{2},{3,6},{4},{7}}=>{{1},{2,5},{3,7},{4},{6}}
[1,2,5,6,4,3,7]=>[1,5,4,2,3,6,7]=>{{1},{2,5},{3,4},{6},{7}}=>{{1},{2},{3,6},{4,5},{7}}
[1,2,5,6,4,7,3]=>[5,1,4,2,3,6,7]=>{{1,5},{2},{3,4},{6},{7}}=>{{1},{2},{3,7},{4,5},{6}}
[1,2,5,6,7,3,4]=>[5,6,1,2,3,4,7]=>{{1,5},{2,6},{3},{4},{7}}=>{{1},{2,6},{3,7},{4},{5}}
[1,2,5,6,7,4,3]=>[5,4,1,2,3,6,7]=>{{1,5},{2,4},{3},{6},{7}}=>{{1},{2},{3,7},{4,6},{5}}
[1,2,5,7,3,4,6]=>[1,5,7,2,3,4,6]=>{{1},{2,5},{3,7},{4},{6}}=>{{1,5},{2},{3,6},{4},{7}}
[1,2,5,7,3,6,4]=>[7,5,6,1,2,3,4]=>{{1,7},{2,5},{3,6},{4}}=>{{1,7},{2,5},{3,6},{4}}
[1,2,5,7,4,3,6]=>[5,7,4,1,2,3,6]=>{{1,5},{2,7},{3,4},{6}}=>{{1,6},{2},{3,7},{4,5}}
[1,2,5,7,4,6,3]=>[5,4,7,1,2,3,6]=>{{1,5},{2,4},{3,7},{6}}=>{{1,5},{2},{3,7},{4,6}}
[1,2,5,7,6,3,4]=>[5,7,6,1,2,3,4]=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}
[1,2,5,7,6,4,3]=>[7,5,4,1,2,3,6]=>{{1,7},{2,5},{3,4},{6}}=>{{1,7},{2},{3,6},{4,5}}
[1,2,6,3,4,5,7]=>[1,2,3,6,4,5,7]=>{{1},{2},{3},{4,6},{5},{7}}=>{{1},{2,4},{3},{5},{6},{7}}
[1,2,6,3,4,7,5]=>[6,1,2,7,3,4,5]=>{{1,6},{2},{3},{4,7},{5}}=>{{1,4},{2,7},{3},{5},{6}}
[1,2,6,3,5,4,7]=>[1,6,2,5,3,4,7]=>{{1},{2,6},{3},{4,5},{7}}=>{{1},{2,6},{3,4},{5},{7}}
[1,2,6,3,5,7,4]=>[6,1,2,5,3,4,7]=>{{1,6},{2},{3},{4,5},{7}}=>{{1},{2,7},{3,4},{5},{6}}
[1,2,6,3,7,4,5]=>[1,6,2,7,3,4,5]=>{{1},{2,6},{3},{4,7},{5}}=>{{1,4},{2,6},{3},{5},{7}}
[1,2,6,3,7,5,4]=>[6,5,1,7,2,3,4]=>{{1,6},{2,5},{3},{4,7}}=>{{1,4},{2,7},{3,6},{5}}
[1,2,6,4,3,5,7]=>[1,2,6,4,3,5,7]=>{{1},{2},{3,6},{4},{5},{7}}=>{{1},{2,5},{3},{4},{6},{7}}
[1,2,6,4,3,7,5]=>[6,1,7,4,2,3,5]=>{{1,6},{2},{3,7},{4},{5}}=>{{1,5},{2,7},{3},{4},{6}}
[1,2,6,4,5,3,7]=>[1,6,2,4,3,5,7]=>{{1},{2,6},{3},{4},{5},{7}}=>{{1},{2,6},{3},{4},{5},{7}}
[1,2,6,4,5,7,3]=>[6,1,2,4,3,5,7]=>{{1,6},{2},{3},{4},{5},{7}}=>{{1},{2,7},{3},{4},{5},{6}}
[1,2,6,4,7,3,5]=>[6,7,1,4,2,3,5]=>{{1,6},{2,7},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}
[1,2,6,4,7,5,3]=>[6,4,1,7,2,3,5]=>{{1,6},{2,4,7},{3},{5}}=>{{1,4,6},{2,7},{3},{5}}
[1,2,6,5,3,4,7]=>[1,2,6,5,3,4,7]=>{{1},{2},{3,6},{4,5},{7}}=>{{1},{2,5},{3,4},{6},{7}}
[1,2,6,5,3,7,4]=>[6,1,7,5,2,3,4]=>{{1,6},{2},{3,7},{4,5}}=>{{1,5},{2,7},{3,4},{6}}
[1,2,6,5,4,3,7]=>[1,6,5,4,2,3,7]=>{{1},{2,6},{3,5},{4},{7}}=>{{1},{2,6},{3,5},{4},{7}}
[1,2,6,5,4,7,3]=>[6,1,5,4,2,3,7]=>{{1,6},{2},{3,5},{4},{7}}=>{{1},{2,7},{3,5},{4},{6}}
[1,2,6,5,7,3,4]=>[6,7,1,5,2,3,4]=>{{1,6},{2,7},{3},{4,5}}=>{{1,6},{2,7},{3,4},{5}}
[1,2,6,5,7,4,3]=>[6,5,1,4,2,3,7]=>{{1,6},{2,5},{3},{4},{7}}=>{{1},{2,7},{3,6},{4},{5}}
[1,2,6,7,3,4,5]=>[1,6,7,2,3,4,5]=>{{1},{2,6},{3,7},{4},{5}}=>{{1,5},{2,6},{3},{4},{7}}
[1,2,6,7,3,5,4]=>[6,5,7,1,2,3,4]=>{{1,6},{2,5},{3,7},{4}}=>{{1,5},{2,7},{3,6},{4}}
[1,2,6,7,4,3,5]=>[6,7,4,1,2,3,5]=>{{1,6},{2,7},{3,4},{5}}=>{{1,6},{2,7},{3},{4,5}}
[1,2,6,7,4,5,3]=>[6,4,7,1,2,3,5]=>{{1,6},{2,4},{3,7},{5}}=>{{1,5},{2,7},{3},{4,6}}
[1,2,6,7,5,3,4]=>[6,7,5,1,2,3,4]=>{{1,6},{2,7},{3,5},{4}}=>{{1,6},{2,7},{3,5},{4}}
[1,2,6,7,5,4,3]=>[6,5,4,1,2,3,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1},{2,7},{3,6},{4,5}}
[1,2,7,3,4,5,6]=>[1,2,3,7,4,5,6]=>{{1},{2},{3},{4,7},{5},{6}}=>{{1,4},{2},{3},{5},{6},{7}}
[1,2,7,3,4,6,5]=>[7,1,2,6,3,4,5]=>{{1,7},{2},{3},{4,6},{5}}=>{{1,7},{2,4},{3},{5},{6}}
[1,2,7,3,5,4,6]=>[1,7,2,5,3,4,6]=>{{1},{2,7},{3},{4,5},{6}}=>{{1,6},{2},{3,4},{5},{7}}
[1,2,7,3,5,6,4]=>[7,1,2,5,3,4,6]=>{{1,7},{2},{3},{4,5},{6}}=>{{1,7},{2},{3,4},{5},{6}}
[1,2,7,3,6,4,5]=>[1,7,2,6,3,4,5]=>{{1},{2,7},{3},{4,6},{5}}=>{{1,6},{2,4},{3},{5},{7}}
[1,2,7,3,6,5,4]=>[7,6,1,5,2,3,4]=>{{1,7},{2,6},{3},{4,5}}=>{{1,7},{2,6},{3,4},{5}}
[1,2,7,4,3,5,6]=>[1,2,7,4,3,5,6]=>{{1},{2},{3,7},{4},{5},{6}}=>{{1,5},{2},{3},{4},{6},{7}}
[1,2,7,4,3,6,5]=>[4,1,7,6,2,3,5]=>{{1,4,6},{2},{3,7},{5}}=>{{1,5},{2,4,7},{3},{6}}
[1,2,7,4,5,3,6]=>[1,7,2,4,3,5,6]=>{{1},{2,7},{3},{4},{5},{6}}=>{{1,6},{2},{3},{4},{5},{7}}
[1,2,7,4,5,6,3]=>[7,1,2,4,3,5,6]=>{{1,7},{2},{3},{4},{5},{6}}=>{{1,7},{2},{3},{4},{5},{6}}
[1,2,7,4,6,3,5]=>[4,7,1,6,2,3,5]=>{{1,4,6},{2,7},{3},{5}}=>{{1,6},{2,4,7},{3},{5}}
[1,2,7,4,6,5,3]=>[7,6,1,4,2,3,5]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[1,2,7,5,3,4,6]=>[1,2,7,5,3,4,6]=>{{1},{2},{3,7},{4,5},{6}}=>{{1,5},{2},{3,4},{6},{7}}
[1,2,7,5,3,6,4]=>[5,1,7,6,2,3,4]=>{{1,5},{2},{3,7},{4,6}}=>{{1,5},{2,4},{3,7},{6}}
[1,2,7,5,4,3,6]=>[1,7,5,4,2,3,6]=>{{1},{2,7},{3,5},{4},{6}}=>{{1,6},{2},{3,5},{4},{7}}
[1,2,7,5,4,6,3]=>[7,1,5,4,2,3,6]=>{{1,7},{2},{3,5},{4},{6}}=>{{1,7},{2},{3,5},{4},{6}}
[1,2,7,5,6,3,4]=>[5,7,1,6,2,3,4]=>{{1,5},{2,7},{3},{4,6}}=>{{1,6},{2,4},{3,7},{5}}
[1,2,7,5,6,4,3]=>[7,5,1,4,2,3,6]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,7},{2},{3,6},{4},{5}}
[1,2,7,6,3,4,5]=>[1,2,7,6,3,4,5]=>{{1},{2},{3,7},{4,6},{5}}=>{{1,5},{2,4},{3},{6},{7}}
[1,2,7,6,3,5,4]=>[7,1,6,5,2,3,4]=>{{1,7},{2},{3,6},{4,5}}=>{{1,7},{2,5},{3,4},{6}}
[1,2,7,6,4,3,5]=>[1,7,6,4,2,3,5]=>{{1},{2,7},{3,6},{4},{5}}=>{{1,6},{2,5},{3},{4},{7}}
[1,2,7,6,4,5,3]=>[7,1,6,4,2,3,5]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,7},{2,5},{3},{4},{6}}
[1,2,7,6,5,3,4]=>[1,7,6,5,2,3,4]=>{{1},{2,7},{3,6},{4,5}}=>{{1,6},{2,5},{3,4},{7}}
[1,2,7,6,5,4,3]=>[7,6,5,4,1,2,3]=>{{1,7},{2,6},{3,5},{4}}=>{{1,7},{2,6},{3,5},{4}}
[1,3,2,4,5,6,7]=>[1,3,4,5,6,2,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
[1,3,2,4,5,7,6]=>[3,1,2,4,7,5,6]=>{{1,3},{2},{4},{5,7},{6}}=>{{1,3},{2},{4},{5,7},{6}}
[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>{{1},{2,3},{4},{5,6},{7}}=>{{1},{2,3},{4},{5,6},{7}}
[1,3,2,4,6,7,5]=>[3,1,2,4,6,5,7]=>{{1,3},{2},{4},{5,6},{7}}=>{{1},{2,3},{4},{5,7},{6}}
[1,3,2,4,7,5,6]=>[1,3,2,4,7,5,6]=>{{1},{2,3},{4},{5,7},{6}}=>{{1,3},{2},{4},{5,6},{7}}
[1,3,2,4,7,6,5]=>[7,3,1,2,6,4,5]=>{{1,7},{2,3},{4},{5,6}}=>{{1,7},{2,3},{4},{5,6}}
[1,3,2,5,4,6,7]=>[1,3,5,2,6,4,7]=>{{1},{2,3,5,6},{4},{7}}=>{{1},{2,3,5,6},{4},{7}}
[1,3,2,5,4,7,6]=>[3,1,5,2,7,4,6]=>{{1,3,5,7},{2},{4},{6}}=>{{1,3,5,7},{2},{4},{6}}
[1,3,2,5,6,4,7]=>[1,3,2,5,6,4,7]=>{{1},{2,3},{4,5,6},{7}}=>{{1},{2,3,4},{5,6},{7}}
[1,3,2,5,6,7,4]=>[3,1,2,5,6,4,7]=>{{1,3},{2},{4,5,6},{7}}=>{{1},{2,3,4},{5,7},{6}}
[1,3,2,5,7,4,6]=>[3,5,1,2,7,4,6]=>{{1,3},{2,5,7},{4},{6}}=>{{1,3,6},{2},{4},{5,7}}
[1,3,2,5,7,6,4]=>[7,3,1,2,5,4,6]=>{{1,7},{2,3},{4},{5},{6}}=>{{1,7},{2},{3},{4},{5,6}}
[1,3,2,6,4,5,7]=>[1,3,4,2,6,5,7]=>{{1},{2,3,4},{5,6},{7}}=>{{1},{2,3},{4,5,6},{7}}
[1,3,2,6,4,7,5]=>[3,1,6,2,7,4,5]=>{{1,3,6},{2},{4},{5,7}}=>{{1,3},{2,5,7},{4},{6}}
[1,3,2,6,5,4,7]=>[1,6,3,2,5,4,7]=>{{1},{2,6},{3},{4},{5},{7}}=>{{1},{2,6},{3},{4},{5},{7}}
[1,3,2,6,5,7,4]=>[6,1,3,2,5,4,7]=>{{1,6},{2},{3},{4},{5},{7}}=>{{1},{2,7},{3},{4},{5},{6}}
[1,3,2,6,7,4,5]=>[3,6,1,2,7,4,5]=>{{1,3},{2,6},{4},{5,7}}=>{{1,3},{2,6},{4},{5,7}}
[1,3,2,6,7,5,4]=>[6,3,1,2,5,4,7]=>{{1,6},{2,3},{4},{5},{7}}=>{{1},{2,7},{3},{4},{5,6}}
[1,3,2,7,4,5,6]=>[1,3,4,2,7,5,6]=>{{1},{2,3,4},{5,7},{6}}=>{{1,3},{2},{4,5,6},{7}}
[1,3,2,7,4,6,5]=>[7,1,3,2,6,4,5]=>{{1,7},{2},{3},{4},{5,6}}=>{{1,7},{2,3},{4},{5},{6}}
[1,3,2,7,5,4,6]=>[1,7,3,2,5,4,6]=>{{1},{2,7},{3},{4},{5},{6}}=>{{1,6},{2},{3},{4},{5},{7}}
[1,3,2,7,5,6,4]=>[7,1,3,2,5,4,6]=>{{1,7},{2},{3},{4},{5},{6}}=>{{1,7},{2},{3},{4},{5},{6}}
[1,3,2,7,6,4,5]=>[1,7,3,2,6,4,5]=>{{1},{2,7},{3},{4},{5,6}}=>{{1,6},{2,3},{4},{5},{7}}
[1,3,2,7,6,5,4]=>[7,6,3,1,5,2,4]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[1,3,4,2,5,6,7]=>[1,3,4,5,2,6,7]=>{{1},{2,3,4,5},{6},{7}}=>{{1},{2},{3,4,5,6},{7}}
[1,3,4,2,5,7,6]=>[3,1,2,7,4,5,6]=>{{1,3},{2},{4,7},{5},{6}}=>{{1,4},{2},{3},{5,7},{6}}
[1,3,4,2,6,5,7]=>[1,3,2,6,4,5,7]=>{{1},{2,3},{4,6},{5},{7}}=>{{1},{2,4},{3},{5,6},{7}}
[1,3,4,2,6,7,5]=>[3,1,2,6,4,5,7]=>{{1,3},{2},{4,6},{5},{7}}=>{{1},{2,4},{3},{5,7},{6}}
[1,3,4,2,7,5,6]=>[1,3,2,7,4,5,6]=>{{1},{2,3},{4,7},{5},{6}}=>{{1,4},{2},{3},{5,6},{7}}
[1,3,4,2,7,6,5]=>[7,3,1,6,2,4,5]=>{{1,7},{2,3},{4,6},{5}}=>{{1,7},{2,4},{3},{5,6}}
[1,3,4,5,2,6,7]=>[1,3,4,2,5,6,7]=>{{1},{2,3,4},{5},{6},{7}}=>{{1},{2},{3},{4,5,6},{7}}
[1,3,4,5,2,7,6]=>[3,1,7,2,4,5,6]=>{{1,3,7},{2},{4},{5},{6}}=>{{1,5,7},{2},{3},{4},{6}}
[1,3,4,5,6,2,7]=>[1,3,2,4,5,6,7]=>{{1},{2,3},{4},{5},{6},{7}}=>{{1},{2},{3},{4},{5,6},{7}}
[1,3,4,5,6,7,2]=>[3,1,2,4,5,6,7]=>{{1,3},{2},{4},{5},{6},{7}}=>{{1},{2},{3},{4},{5,7},{6}}
[1,3,4,5,7,2,6]=>[3,7,1,2,4,5,6]=>{{1,3},{2,7},{4},{5},{6}}=>{{1,6},{2},{3},{4},{5,7}}
[1,3,4,5,7,6,2]=>[7,3,1,2,4,5,6]=>{{1,7},{2,3},{4},{5},{6}}=>{{1,7},{2},{3},{4},{5,6}}
[1,3,4,6,2,5,7]=>[1,3,6,2,4,5,7]=>{{1},{2,3,6},{4},{5},{7}}=>{{1},{2,5,6},{3},{4},{7}}
[1,3,4,6,2,7,5]=>[3,1,6,2,4,5,7]=>{{1,3,6},{2},{4},{5},{7}}=>{{1},{2,5,7},{3},{4},{6}}
[1,3,4,6,5,2,7]=>[1,6,3,2,4,5,7]=>{{1},{2,6},{3},{4},{5},{7}}=>{{1},{2,6},{3},{4},{5},{7}}
[1,3,4,6,5,7,2]=>[6,1,3,2,4,5,7]=>{{1,6},{2},{3},{4},{5},{7}}=>{{1},{2,7},{3},{4},{5},{6}}
[1,3,4,6,7,2,5]=>[3,6,1,2,4,5,7]=>{{1,3},{2,6},{4},{5},{7}}=>{{1},{2,6},{3},{4},{5,7}}
[1,3,4,6,7,5,2]=>[6,3,1,2,4,5,7]=>{{1,6},{2,3},{4},{5},{7}}=>{{1},{2,7},{3},{4},{5,6}}
[1,3,4,7,2,5,6]=>[1,3,7,2,4,5,6]=>{{1},{2,3,7},{4},{5},{6}}=>{{1,5,6},{2},{3},{4},{7}}
[1,3,4,7,2,6,5]=>[7,3,6,1,2,4,5]=>{{1,7},{2,3,6},{4},{5}}=>{{1,7},{2,5,6},{3},{4}}
[1,3,4,7,5,2,6]=>[1,7,3,2,4,5,6]=>{{1},{2,7},{3},{4},{5},{6}}=>{{1,6},{2},{3},{4},{5},{7}}
[1,3,4,7,5,6,2]=>[7,1,3,2,4,5,6]=>{{1,7},{2},{3},{4},{5},{6}}=>{{1,7},{2},{3},{4},{5},{6}}
[1,3,4,7,6,2,5]=>[3,7,6,1,2,4,5]=>{{1,3,6},{2,7},{4},{5}}=>{{1,6},{2,5,7},{3},{4}}
[1,3,4,7,6,5,2]=>[7,6,3,1,2,4,5]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[1,3,5,2,4,6,7]=>[1,3,5,6,2,4,7]=>{{1},{2,3,5},{4,6},{7}}=>{{1},{2,4},{3,5,6},{7}}
[1,3,5,2,4,7,6]=>[3,1,5,7,2,4,6]=>{{1,3,5},{2},{4,7},{6}}=>{{1,4},{2},{3,5,7},{6}}
[1,3,5,2,6,4,7]=>[1,3,2,5,4,6,7]=>{{1},{2,3},{4,5},{6},{7}}=>{{1},{2},{3,4},{5,6},{7}}
[1,3,5,2,6,7,4]=>[3,1,2,5,4,6,7]=>{{1,3},{2},{4,5},{6},{7}}=>{{1},{2},{3,4},{5,7},{6}}
[1,3,5,2,7,4,6]=>[3,5,1,7,2,4,6]=>{{1,3},{2,5},{4,7},{6}}=>{{1,4},{2},{3,6},{5,7}}
[1,3,5,2,7,6,4]=>[7,3,1,5,2,4,6]=>{{1,7},{2,3},{4,5},{6}}=>{{1,7},{2},{3,4},{5,6}}
[1,3,5,4,2,6,7]=>[1,3,5,4,2,6,7]=>{{1},{2,3,5},{4},{6},{7}}=>{{1},{2},{3,5,6},{4},{7}}
[1,3,5,4,2,7,6]=>[5,1,7,3,2,4,6]=>{{1,5},{2},{3,7},{4},{6}}=>{{1,5},{2},{3,7},{4},{6}}
[1,3,5,4,6,2,7]=>[1,5,3,4,2,6,7]=>{{1},{2,5},{3},{4},{6},{7}}=>{{1},{2},{3,6},{4},{5},{7}}
[1,3,5,4,6,7,2]=>[5,1,3,4,2,6,7]=>{{1,5},{2},{3},{4},{6},{7}}=>{{1},{2},{3,7},{4},{5},{6}}
[1,3,5,4,7,2,6]=>[5,7,1,3,2,4,6]=>{{1,5},{2,7},{3},{4},{6}}=>{{1,6},{2},{3,7},{4},{5}}
[1,3,5,4,7,6,2]=>[5,3,1,7,2,4,6]=>{{1,5},{2,3},{4,7},{6}}=>{{1,4},{2},{3,7},{5,6}}
[1,3,5,6,2,4,7]=>[1,3,5,2,4,6,7]=>{{1},{2,3,5},{4},{6},{7}}=>{{1},{2},{3,5,6},{4},{7}}
[1,3,5,6,2,7,4]=>[3,1,5,2,4,6,7]=>{{1,3,5},{2},{4},{6},{7}}=>{{1},{2},{3,5,7},{4},{6}}
[1,3,5,6,4,2,7]=>[1,5,3,2,4,6,7]=>{{1},{2,5},{3},{4},{6},{7}}=>{{1},{2},{3,6},{4},{5},{7}}
[1,3,5,6,4,7,2]=>[5,1,3,2,4,6,7]=>{{1,5},{2},{3},{4},{6},{7}}=>{{1},{2},{3,7},{4},{5},{6}}
[1,3,5,6,7,2,4]=>[3,5,1,2,4,6,7]=>{{1,3},{2,5},{4},{6},{7}}=>{{1},{2},{3,6},{4},{5,7}}
[1,3,5,6,7,4,2]=>[5,3,1,2,4,6,7]=>{{1,5},{2,3},{4},{6},{7}}=>{{1},{2},{3,7},{4},{5,6}}
[1,3,5,7,2,4,6]=>[3,5,7,1,2,4,6]=>{{1,3,7},{2,5},{4},{6}}=>{{1,5,7},{2},{3,6},{4}}
[1,3,5,7,2,6,4]=>[7,3,5,1,2,4,6]=>{{1,7},{2,3,5},{4},{6}}=>{{1,7},{2},{3,5,6},{4}}
[1,3,5,7,4,2,6]=>[5,7,3,1,2,4,6]=>{{1,5},{2,7},{3},{4},{6}}=>{{1,6},{2},{3,7},{4},{5}}
[1,3,5,7,4,6,2]=>[5,3,7,1,2,4,6]=>{{1,5},{2,3,7},{4},{6}}=>{{1,5,6},{2},{3,7},{4}}
[1,3,5,7,6,2,4]=>[3,7,5,1,2,4,6]=>{{1,3,5},{2,7},{4},{6}}=>{{1,6},{2},{3,5,7},{4}}
[1,3,5,7,6,4,2]=>[7,5,3,1,2,4,6]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,7},{2},{3,6},{4},{5}}
[1,3,6,2,4,5,7]=>[1,3,4,6,2,5,7]=>{{1},{2,3,4,6},{5},{7}}=>{{1},{2,4,5,6},{3},{7}}
[1,3,6,2,4,7,5]=>[3,1,6,7,2,4,5]=>{{1,3,6},{2},{4,7},{5}}=>{{1,4},{2,5,7},{3},{6}}
[1,3,6,2,5,4,7]=>[1,6,3,5,2,4,7]=>{{1},{2,6},{3},{4,5},{7}}=>{{1},{2,6},{3,4},{5},{7}}
[1,3,6,2,5,7,4]=>[6,1,3,5,2,4,7]=>{{1,6},{2},{3},{4,5},{7}}=>{{1},{2,7},{3,4},{5},{6}}
[1,3,6,2,7,4,5]=>[3,6,1,7,2,4,5]=>{{1,3},{2,6},{4,7},{5}}=>{{1,4},{2,6},{3},{5,7}}
[1,3,6,2,7,5,4]=>[6,3,1,5,2,4,7]=>{{1,6},{2,3},{4,5},{7}}=>{{1},{2,7},{3,4},{5,6}}
[1,3,6,4,2,5,7]=>[1,3,6,4,2,5,7]=>{{1},{2,3,6},{4},{5},{7}}=>{{1},{2,5,6},{3},{4},{7}}
[1,3,6,4,2,7,5]=>[6,1,7,3,2,4,5]=>{{1,6},{2},{3,7},{4},{5}}=>{{1,5},{2,7},{3},{4},{6}}
[1,3,6,4,5,2,7]=>[1,6,3,4,2,5,7]=>{{1},{2,6},{3},{4},{5},{7}}=>{{1},{2,6},{3},{4},{5},{7}}
[1,3,6,4,5,7,2]=>[6,1,3,4,2,5,7]=>{{1,6},{2},{3},{4},{5},{7}}=>{{1},{2,7},{3},{4},{5},{6}}
[1,3,6,4,7,2,5]=>[6,7,1,3,2,4,5]=>{{1,6},{2,7},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}
[1,3,6,4,7,5,2]=>[6,3,1,7,2,4,5]=>{{1,6},{2,3},{4,7},{5}}=>{{1,4},{2,7},{3},{5,6}}
[1,3,6,5,2,4,7]=>[1,3,6,5,2,4,7]=>{{1},{2,3,6},{4,5},{7}}=>{{1},{2,5,6},{3,4},{7}}
[1,3,6,5,2,7,4]=>[3,1,6,5,2,4,7]=>{{1,3,6},{2},{4,5},{7}}=>{{1},{2,5,7},{3,4},{6}}
[1,3,6,5,4,2,7]=>[1,6,5,3,2,4,7]=>{{1},{2,6},{3,5},{4},{7}}=>{{1},{2,6},{3,5},{4},{7}}
[1,3,6,5,4,7,2]=>[6,1,5,3,2,4,7]=>{{1,6},{2},{3,5},{4},{7}}=>{{1},{2,7},{3,5},{4},{6}}
[1,3,6,5,7,2,4]=>[3,6,1,5,2,4,7]=>{{1,3},{2,6},{4,5},{7}}=>{{1},{2,6},{3,4},{5,7}}
[1,3,6,5,7,4,2]=>[6,5,1,3,2,4,7]=>{{1,6},{2,5},{3},{4},{7}}=>{{1},{2,7},{3,6},{4},{5}}
[1,3,6,7,2,4,5]=>[3,6,7,1,2,4,5]=>{{1,3,7},{2,6},{4},{5}}=>{{1,5,7},{2,6},{3},{4}}
[1,3,6,7,2,5,4]=>[6,3,5,1,2,4,7]=>{{1,6},{2,3,5},{4},{7}}=>{{1},{2,7},{3,5,6},{4}}
[1,3,6,7,4,2,5]=>[6,7,3,1,2,4,5]=>{{1,6},{2,7},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}
[1,3,6,7,4,5,2]=>[6,3,7,1,2,4,5]=>{{1,6},{2,3,7},{4},{5}}=>{{1,5,6},{2,7},{3},{4}}
[1,3,6,7,5,2,4]=>[3,6,5,1,2,4,7]=>{{1,3,5},{2,6},{4},{7}}=>{{1},{2,6},{3,5,7},{4}}
[1,3,6,7,5,4,2]=>[6,5,3,1,2,4,7]=>{{1,6},{2,5},{3},{4},{7}}=>{{1},{2,7},{3,6},{4},{5}}
[1,3,7,2,4,5,6]=>[1,3,4,7,2,5,6]=>{{1},{2,3,4,7},{5},{6}}=>{{1,4,5,6},{2},{3},{7}}
[1,3,7,2,4,6,5]=>[7,1,3,6,2,4,5]=>{{1,7},{2},{3},{4,6},{5}}=>{{1,7},{2,4},{3},{5},{6}}
[1,3,7,2,5,4,6]=>[1,7,3,5,2,4,6]=>{{1},{2,7},{3},{4,5},{6}}=>{{1,6},{2},{3,4},{5},{7}}
[1,3,7,2,5,6,4]=>[7,1,3,5,2,4,6]=>{{1,7},{2},{3},{4,5},{6}}=>{{1,7},{2},{3,4},{5},{6}}
[1,3,7,2,6,4,5]=>[1,7,3,6,2,4,5]=>{{1},{2,7},{3},{4,6},{5}}=>{{1,6},{2,4},{3},{5},{7}}
[1,3,7,2,6,5,4]=>[7,6,3,5,1,2,4]=>{{1,7},{2,6},{3},{4,5}}=>{{1,7},{2,6},{3,4},{5}}
[1,3,7,4,2,5,6]=>[1,3,7,4,2,5,6]=>{{1},{2,3,7},{4},{5},{6}}=>{{1,5,6},{2},{3},{4},{7}}
[1,3,7,4,2,6,5]=>[3,1,7,6,2,4,5]=>{{1,3,7},{2},{4,6},{5}}=>{{1,5,7},{2,4},{3},{6}}
[1,3,7,4,5,2,6]=>[1,7,3,4,2,5,6]=>{{1},{2,7},{3},{4},{5},{6}}=>{{1,6},{2},{3},{4},{5},{7}}
[1,3,7,4,5,6,2]=>[7,1,3,4,2,5,6]=>{{1,7},{2},{3},{4},{5},{6}}=>{{1,7},{2},{3},{4},{5},{6}}
[1,3,7,4,6,2,5]=>[3,7,1,6,2,4,5]=>{{1,3},{2,7},{4,6},{5}}=>{{1,6},{2,4},{3},{5,7}}
[1,3,7,4,6,5,2]=>[7,6,1,3,2,4,5]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[1,3,7,5,2,4,6]=>[1,3,7,5,2,4,6]=>{{1},{2,3,7},{4,5},{6}}=>{{1,5,6},{2},{3,4},{7}}
[1,3,7,5,2,6,4]=>[3,1,7,5,2,4,6]=>{{1,3,7},{2},{4,5},{6}}=>{{1,5,7},{2},{3,4},{6}}
[1,3,7,5,4,2,6]=>[1,7,5,3,2,4,6]=>{{1},{2,7},{3,5},{4},{6}}=>{{1,6},{2},{3,5},{4},{7}}
[1,3,7,5,4,6,2]=>[7,1,5,3,2,4,6]=>{{1,7},{2},{3,5},{4},{6}}=>{{1,7},{2},{3,5},{4},{6}}
[1,3,7,5,6,2,4]=>[3,7,1,5,2,4,6]=>{{1,3},{2,7},{4,5},{6}}=>{{1,6},{2},{3,4},{5,7}}
[1,3,7,5,6,4,2]=>[7,5,1,3,2,4,6]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,7},{2},{3,6},{4},{5}}
[1,3,7,6,2,4,5]=>[1,3,7,6,2,4,5]=>{{1},{2,3,7},{4,6},{5}}=>{{1,5,6},{2,4},{3},{7}}
[1,3,7,6,2,5,4]=>[7,3,6,5,1,2,4]=>{{1,7},{2,3,6},{4,5}}=>{{1,7},{2,5,6},{3,4}}
[1,3,7,6,4,2,5]=>[1,7,6,3,2,4,5]=>{{1},{2,7},{3,6},{4},{5}}=>{{1,6},{2,5},{3},{4},{7}}
[1,3,7,6,4,5,2]=>[7,1,6,3,2,4,5]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,7},{2,5},{3},{4},{6}}
[1,3,7,6,5,2,4]=>[3,7,6,5,1,2,4]=>{{1,3,6},{2,7},{4,5}}=>{{1,6},{2,5,7},{3,4}}
[1,3,7,6,5,4,2]=>[7,6,5,3,1,2,4]=>{{1,7},{2,6},{3,5},{4}}=>{{1,7},{2,6},{3,5},{4}}
[1,4,2,3,5,6,7]=>[1,2,4,5,6,3,7]=>{{1},{2},{3,4,5,6},{7}}=>{{1},{2,3,4,5},{6},{7}}
[1,4,2,3,5,7,6]=>[4,1,2,3,7,5,6]=>{{1,4},{2},{3},{5,7},{6}}=>{{1,3},{2},{4,7},{5},{6}}
[1,4,2,3,6,5,7]=>[1,4,2,3,6,5,7]=>{{1},{2,4},{3},{5,6},{7}}=>{{1},{2,3},{4,6},{5},{7}}
[1,4,2,3,6,7,5]=>[4,1,2,3,6,5,7]=>{{1,4},{2},{3},{5,6},{7}}=>{{1},{2,3},{4,7},{5},{6}}
[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>{{1},{2,4},{3},{5,7},{6}}=>{{1,3},{2},{4,6},{5},{7}}
[1,4,2,3,7,6,5]=>[7,4,1,2,6,3,5]=>{{1,7},{2,4},{3},{5,6}}=>{{1,7},{2,3},{4,6},{5}}
[1,4,2,5,3,6,7]=>[1,4,5,2,6,3,7]=>{{1},{2,4},{3,5,6},{7}}=>{{1},{2,3,5},{4,6},{7}}
[1,4,2,5,3,7,6]=>[4,1,5,2,7,3,6]=>{{1,4},{2},{3,5,7},{6}}=>{{1,3,5},{2},{4,7},{6}}
[1,4,2,5,6,3,7]=>[1,4,2,5,6,3,7]=>{{1},{2,4,5,6},{3},{7}}=>{{1},{2,3,4,6},{5},{7}}
[1,4,2,5,6,7,3]=>[4,1,2,5,6,3,7]=>{{1,4,5,6},{2},{3},{7}}=>{{1},{2,3,4,7},{5},{6}}
[1,4,2,5,7,3,6]=>[4,5,1,2,7,3,6]=>{{1,4},{2,5,7},{3},{6}}=>{{1,3,6},{2},{4,7},{5}}
[1,4,2,5,7,6,3]=>[7,4,1,2,5,3,6]=>{{1,7},{2,4},{3},{5},{6}}=>{{1,7},{2},{3},{4,6},{5}}
[1,4,2,6,3,5,7]=>[1,2,4,3,6,5,7]=>{{1},{2},{3,4},{5,6},{7}}=>{{1},{2,3},{4,5},{6},{7}}
[1,4,2,6,3,7,5]=>[4,1,6,2,7,3,5]=>{{1,4},{2},{3,6},{5,7}}=>{{1,3},{2,5},{4,7},{6}}
[1,4,2,6,5,3,7]=>[1,6,4,2,5,3,7]=>{{1},{2,6},{3,4},{5},{7}}=>{{1},{2,6},{3},{4,5},{7}}
[1,4,2,6,5,7,3]=>[6,1,4,2,5,3,7]=>{{1,6},{2},{3,4},{5},{7}}=>{{1},{2,7},{3},{4,5},{6}}
[1,4,2,6,7,3,5]=>[4,6,1,2,7,3,5]=>{{1,4},{2,6},{3},{5,7}}=>{{1,3},{2,6},{4,7},{5}}
[1,4,2,6,7,5,3]=>[6,4,1,2,5,3,7]=>{{1,6},{2,4},{3},{5},{7}}=>{{1},{2,7},{3},{4,6},{5}}
[1,4,2,7,3,5,6]=>[1,2,4,3,7,5,6]=>{{1},{2},{3,4},{5,7},{6}}=>{{1,3},{2},{4,5},{6},{7}}
[1,4,2,7,3,6,5]=>[7,1,4,2,6,3,5]=>{{1,7},{2},{3,4},{5,6}}=>{{1,7},{2,3},{4,5},{6}}
[1,4,2,7,5,3,6]=>[1,7,4,2,5,3,6]=>{{1},{2,7},{3,4},{5},{6}}=>{{1,6},{2},{3},{4,5},{7}}
[1,4,2,7,5,6,3]=>[7,1,4,2,5,3,6]=>{{1,7},{2},{3,4},{5},{6}}=>{{1,7},{2},{3},{4,5},{6}}
[1,4,2,7,6,3,5]=>[1,7,4,2,6,3,5]=>{{1},{2,7},{3,4},{5,6}}=>{{1,6},{2,3},{4,5},{7}}
[1,4,2,7,6,5,3]=>[7,6,4,1,5,2,3]=>{{1,7},{2,6},{3,4},{5}}=>{{1,7},{2,6},{3},{4,5}}
[1,4,3,2,5,6,7]=>[1,4,5,6,3,2,7]=>{{1},{2,4,6},{3,5},{7}}=>{{1},{2,4,6},{3,5},{7}}
[1,4,3,2,5,7,6]=>[4,1,3,7,5,2,6]=>{{1,4,7},{2},{3},{5},{6}}=>{{1,4,7},{2},{3},{5},{6}}
[1,4,3,2,6,5,7]=>[1,4,3,6,5,2,7]=>{{1},{2,4,6},{3},{5},{7}}=>{{1},{2,4,6},{3},{5},{7}}
[1,4,3,2,6,7,5]=>[4,1,3,6,5,2,7]=>{{1,4,6},{2},{3},{5},{7}}=>{{1},{2,4,7},{3},{5},{6}}
[1,4,3,2,7,5,6]=>[1,4,3,7,5,2,6]=>{{1},{2,4,7},{3},{5},{6}}=>{{1,4,6},{2},{3},{5},{7}}
[1,4,3,2,7,6,5]=>[4,3,1,7,6,2,5]=>{{1,4,7},{2,3},{5,6}}=>{{1,4,7},{2,3},{5,6}}
[1,4,3,5,2,6,7]=>[1,4,5,3,6,2,7]=>{{1},{2,4},{3,5,6},{7}}=>{{1},{2,3,5},{4,6},{7}}
[1,4,3,5,2,7,6]=>[4,1,7,3,5,2,6]=>{{1,4},{2},{3,7},{5},{6}}=>{{1,5},{2},{3},{4,7},{6}}
[1,4,3,5,6,2,7]=>[1,4,3,5,6,2,7]=>{{1},{2,4,5,6},{3},{7}}=>{{1},{2,3,4,6},{5},{7}}
[1,4,3,5,6,7,2]=>[4,1,3,5,6,2,7]=>{{1,4,5,6},{2},{3},{7}}=>{{1},{2,3,4,7},{5},{6}}
[1,4,3,5,7,2,6]=>[4,7,1,3,5,2,6]=>{{1,4},{2,7},{3},{5},{6}}=>{{1,6},{2},{3},{4,7},{5}}
[1,4,3,5,7,6,2]=>[4,3,1,2,7,5,6]=>{{1,4},{2,3},{5,7},{6}}=>{{1,3},{2},{4,7},{5,6}}
[1,4,3,6,2,5,7]=>[1,4,6,3,5,2,7]=>{{1},{2,4},{3,6},{5},{7}}=>{{1},{2,5},{3},{4,6},{7}}
[1,4,3,6,2,7,5]=>[4,1,6,3,5,2,7]=>{{1,4},{2},{3,6},{5},{7}}=>{{1},{2,5},{3},{4,7},{6}}
[1,4,3,6,5,2,7]=>[1,4,3,2,6,5,7]=>{{1},{2,4},{3},{5,6},{7}}=>{{1},{2,3},{4,6},{5},{7}}
[1,4,3,6,5,7,2]=>[4,1,3,2,6,5,7]=>{{1,4},{2},{3},{5,6},{7}}=>{{1},{2,3},{4,7},{5},{6}}
[1,4,3,6,7,2,5]=>[4,6,1,3,5,2,7]=>{{1,4},{2,6},{3},{5},{7}}=>{{1},{2,6},{3},{4,7},{5}}
[1,4,3,6,7,5,2]=>[4,3,1,2,6,5,7]=>{{1,4},{2,3},{5,6},{7}}=>{{1},{2,3},{4,7},{5,6}}
[1,4,3,7,2,5,6]=>[1,4,7,3,5,2,6]=>{{1},{2,4},{3,7},{5},{6}}=>{{1,5},{2},{3},{4,6},{7}}
[1,4,3,7,2,6,5]=>[4,3,7,1,6,2,5]=>{{1,4},{2,3,7},{5,6}}=>{{1,5,6},{2,3},{4,7}}
[1,4,3,7,5,2,6]=>[1,4,3,2,7,5,6]=>{{1},{2,4},{3},{5,7},{6}}=>{{1,3},{2},{4,6},{5},{7}}
[1,4,3,7,5,6,2]=>[4,1,3,2,7,5,6]=>{{1,4},{2},{3},{5,7},{6}}=>{{1,3},{2},{4,7},{5},{6}}
[1,4,3,7,6,2,5]=>[4,7,3,1,6,2,5]=>{{1,4},{2,7},{3},{5,6}}=>{{1,6},{2,3},{4,7},{5}}
[1,4,3,7,6,5,2]=>[7,4,3,1,6,2,5]=>{{1,7},{2,4},{3},{5,6}}=>{{1,7},{2,3},{4,6},{5}}
[1,4,5,2,3,6,7]=>[1,4,5,6,2,3,7]=>{{1},{2,4,6},{3,5},{7}}=>{{1},{2,4,6},{3,5},{7}}
[1,4,5,2,3,7,6]=>[4,1,5,7,2,3,6]=>{{1,4,7},{2},{3,5},{6}}=>{{1,4,7},{2},{3,5},{6}}
[1,4,5,2,6,3,7]=>[1,4,2,5,3,6,7]=>{{1},{2,4,5},{3},{6},{7}}=>{{1},{2},{3,4,6},{5},{7}}
[1,4,5,2,6,7,3]=>[4,1,2,5,3,6,7]=>{{1,4,5},{2},{3},{6},{7}}=>{{1},{2},{3,4,7},{5},{6}}
[1,4,5,2,7,3,6]=>[4,5,1,7,2,3,6]=>{{1,4,7},{2,5},{3},{6}}=>{{1,4,7},{2},{3,6},{5}}
[1,4,5,2,7,6,3]=>[7,4,1,5,2,3,6]=>{{1,7},{2,4,5},{3},{6}}=>{{1,7},{2},{3,4,6},{5}}
[1,4,5,3,2,6,7]=>[1,4,5,3,2,6,7]=>{{1},{2,4},{3,5},{6},{7}}=>{{1},{2},{3,5},{4,6},{7}}
[1,4,5,3,2,7,6]=>[4,1,7,3,2,5,6]=>{{1,4},{2},{3,7},{5},{6}}=>{{1,5},{2},{3},{4,7},{6}}
[1,4,5,3,6,2,7]=>[1,4,3,5,2,6,7]=>{{1},{2,4,5},{3},{6},{7}}=>{{1},{2},{3,4,6},{5},{7}}
[1,4,5,3,6,7,2]=>[4,1,3,5,2,6,7]=>{{1,4,5},{2},{3},{6},{7}}=>{{1},{2},{3,4,7},{5},{6}}
[1,4,5,3,7,2,6]=>[4,7,1,3,2,5,6]=>{{1,4},{2,7},{3},{5},{6}}=>{{1,6},{2},{3},{4,7},{5}}
[1,4,5,3,7,6,2]=>[4,3,1,7,2,5,6]=>{{1,4,7},{2,3},{5},{6}}=>{{1,4,7},{2},{3},{5,6}}
[1,4,5,6,2,3,7]=>[1,4,5,2,3,6,7]=>{{1},{2,4},{3,5},{6},{7}}=>{{1},{2},{3,5},{4,6},{7}}
[1,4,5,6,2,7,3]=>[4,1,5,2,3,6,7]=>{{1,4},{2},{3,5},{6},{7}}=>{{1},{2},{3,5},{4,7},{6}}
[1,4,5,6,3,2,7]=>[1,4,3,2,5,6,7]=>{{1},{2,4},{3},{5},{6},{7}}=>{{1},{2},{3},{4,6},{5},{7}}
[1,4,5,6,3,7,2]=>[4,1,3,2,5,6,7]=>{{1,4},{2},{3},{5},{6},{7}}=>{{1},{2},{3},{4,7},{5},{6}}
[1,4,5,6,7,2,3]=>[4,5,1,2,3,6,7]=>{{1,4},{2,5},{3},{6},{7}}=>{{1},{2},{3,6},{4,7},{5}}
[1,4,5,6,7,3,2]=>[4,3,1,2,5,6,7]=>{{1,4},{2,3},{5},{6},{7}}=>{{1},{2},{3},{4,7},{5,6}}
[1,4,5,7,2,3,6]=>[4,5,7,1,2,3,6]=>{{1,4},{2,5},{3,7},{6}}=>{{1,5},{2},{3,6},{4,7}}
[1,4,5,7,2,6,3]=>[7,4,5,1,2,3,6]=>{{1,7},{2,4},{3,5},{6}}=>{{1,7},{2},{3,5},{4,6}}
[1,4,5,7,3,2,6]=>[4,7,3,1,2,5,6]=>{{1,4},{2,7},{3},{5},{6}}=>{{1,6},{2},{3},{4,7},{5}}
[1,4,5,7,3,6,2]=>[4,3,7,1,2,5,6]=>{{1,4},{2,3,7},{5},{6}}=>{{1,5,6},{2},{3},{4,7}}
[1,4,5,7,6,2,3]=>[4,7,5,1,2,3,6]=>{{1,4},{2,7},{3,5},{6}}=>{{1,6},{2},{3,5},{4,7}}
[1,4,5,7,6,3,2]=>[7,4,3,1,2,5,6]=>{{1,7},{2,4},{3},{5},{6}}=>{{1,7},{2},{3},{4,6},{5}}
[1,4,6,2,3,5,7]=>[1,2,4,6,3,5,7]=>{{1},{2},{3,4,6},{5},{7}}=>{{1},{2,4,5},{3},{6},{7}}
[1,4,6,2,3,7,5]=>[4,1,6,7,2,3,5]=>{{1,4,7},{2},{3,6},{5}}=>{{1,4,7},{2,5},{3},{6}}
[1,4,6,2,5,3,7]=>[1,6,4,5,2,3,7]=>{{1},{2,6},{3,4,5},{7}}=>{{1},{2,6},{3,4,5},{7}}
[1,4,6,2,5,7,3]=>[6,1,4,5,2,3,7]=>{{1,6},{2},{3,4,5},{7}}=>{{1},{2,7},{3,4,5},{6}}
[1,4,6,2,7,3,5]=>[4,6,1,7,2,3,5]=>{{1,4,7},{2,6},{3},{5}}=>{{1,4,7},{2,6},{3},{5}}
[1,4,6,2,7,5,3]=>[6,4,1,5,2,3,7]=>{{1,6},{2,4,5},{3},{7}}=>{{1},{2,7},{3,4,6},{5}}
[1,4,6,3,2,5,7]=>[1,4,6,3,2,5,7]=>{{1},{2,4},{3,6},{5},{7}}=>{{1},{2,5},{3},{4,6},{7}}
[1,4,6,3,2,7,5]=>[4,1,6,3,2,5,7]=>{{1,4},{2},{3,6},{5},{7}}=>{{1},{2,5},{3},{4,7},{6}}
[1,4,6,3,5,2,7]=>[1,4,3,6,2,5,7]=>{{1},{2,4,6},{3},{5},{7}}=>{{1},{2,4,6},{3},{5},{7}}
[1,4,6,3,5,7,2]=>[4,1,3,6,2,5,7]=>{{1,4,6},{2},{3},{5},{7}}=>{{1},{2,4,7},{3},{5},{6}}
[1,4,6,3,7,2,5]=>[4,6,1,3,2,5,7]=>{{1,4},{2,6},{3},{5},{7}}=>{{1},{2,6},{3},{4,7},{5}}
[1,4,6,3,7,5,2]=>[4,3,1,6,2,5,7]=>{{1,4,6},{2,3},{5},{7}}=>{{1},{2,4,7},{3},{5,6}}
[1,4,6,5,2,3,7]=>[1,4,6,5,2,3,7]=>{{1},{2,4,5},{3,6},{7}}=>{{1},{2,5},{3,4,6},{7}}
[1,4,6,5,2,7,3]=>[4,1,6,5,2,3,7]=>{{1,4,5},{2},{3,6},{7}}=>{{1},{2,5},{3,4,7},{6}}
[1,4,6,5,3,2,7]=>[1,6,4,3,2,5,7]=>{{1},{2,6},{3,4},{5},{7}}=>{{1},{2,6},{3},{4,5},{7}}
[1,4,6,5,3,7,2]=>[6,1,4,3,2,5,7]=>{{1,6},{2},{3,4},{5},{7}}=>{{1},{2,7},{3},{4,5},{6}}
[1,4,6,5,7,2,3]=>[4,6,1,5,2,3,7]=>{{1,4,5},{2,6},{3},{7}}=>{{1},{2,6},{3,4,7},{5}}
[1,4,6,5,7,3,2]=>[6,4,1,3,2,5,7]=>{{1,6},{2,4},{3},{5},{7}}=>{{1},{2,7},{3},{4,6},{5}}
[1,4,6,7,2,3,5]=>[4,6,7,1,2,3,5]=>{{1,4},{2,6},{3,7},{5}}=>{{1,5},{2,6},{3},{4,7}}
[1,4,6,7,2,5,3]=>[6,4,5,1,2,3,7]=>{{1,6},{2,4},{3,5},{7}}=>{{1},{2,7},{3,5},{4,6}}
[1,4,6,7,3,2,5]=>[4,6,3,1,2,5,7]=>{{1,4},{2,6},{3},{5},{7}}=>{{1},{2,6},{3},{4,7},{5}}
[1,4,6,7,3,5,2]=>[4,3,6,1,2,5,7]=>{{1,4},{2,3,6},{5},{7}}=>{{1},{2,5,6},{3},{4,7}}
[1,4,6,7,5,2,3]=>[4,6,5,1,2,3,7]=>{{1,4},{2,6},{3,5},{7}}=>{{1},{2,6},{3,5},{4,7}}
[1,4,6,7,5,3,2]=>[6,4,3,1,2,5,7]=>{{1,6},{2,4},{3},{5},{7}}=>{{1},{2,7},{3},{4,6},{5}}
[1,4,7,2,3,5,6]=>[1,2,4,7,3,5,6]=>{{1},{2},{3,4,7},{5},{6}}=>{{1,4,5},{2},{3},{6},{7}}
[1,4,7,2,3,6,5]=>[7,1,4,6,2,3,5]=>{{1,7},{2},{3,4,6},{5}}=>{{1,7},{2,4,5},{3},{6}}
[1,4,7,2,5,3,6]=>[1,7,4,5,2,3,6]=>{{1},{2,7},{3,4,5},{6}}=>{{1,6},{2},{3,4,5},{7}}
[1,4,7,2,5,6,3]=>[7,1,4,5,2,3,6]=>{{1,7},{2},{3,4,5},{6}}=>{{1,7},{2},{3,4,5},{6}}
[1,4,7,2,6,3,5]=>[1,7,4,6,2,3,5]=>{{1},{2,7},{3,4,6},{5}}=>{{1,6},{2,4,5},{3},{7}}
[1,4,7,2,6,5,3]=>[7,6,4,5,1,2,3]=>{{1,7},{2,6},{3,4,5}}=>{{1,7},{2,6},{3,4,5}}
[1,4,7,3,2,5,6]=>[1,4,7,3,2,5,6]=>{{1},{2,4},{3,7},{5},{6}}=>{{1,5},{2},{3},{4,6},{7}}
[1,4,7,3,2,6,5]=>[4,3,7,6,1,2,5]=>{{1,4,6},{2,3,7},{5}}=>{{1,5,6},{2,4,7},{3}}
[1,4,7,3,5,2,6]=>[1,4,3,7,2,5,6]=>{{1},{2,4,7},{3},{5},{6}}=>{{1,4,6},{2},{3},{5},{7}}
[1,4,7,3,5,6,2]=>[4,1,3,7,2,5,6]=>{{1,4,7},{2},{3},{5},{6}}=>{{1,4,7},{2},{3},{5},{6}}
[1,4,7,3,6,2,5]=>[4,7,3,6,1,2,5]=>{{1,4,6},{2,7},{3},{5}}=>{{1,6},{2,4,7},{3},{5}}
[1,4,7,3,6,5,2]=>[7,4,3,6,1,2,5]=>{{1,7},{2,4,6},{3},{5}}=>{{1,7},{2,4,6},{3},{5}}
[1,4,7,5,2,3,6]=>[1,4,7,5,2,3,6]=>{{1},{2,4,5},{3,7},{6}}=>{{1,5},{2},{3,4,6},{7}}
[1,4,7,5,2,6,3]=>[4,1,7,5,2,3,6]=>{{1,4,5},{2},{3,7},{6}}=>{{1,5},{2},{3,4,7},{6}}
[1,4,7,5,3,2,6]=>[1,7,4,3,2,5,6]=>{{1},{2,7},{3,4},{5},{6}}=>{{1,6},{2},{3},{4,5},{7}}
[1,4,7,5,3,6,2]=>[7,1,4,3,2,5,6]=>{{1,7},{2},{3,4},{5},{6}}=>{{1,7},{2},{3},{4,5},{6}}
[1,4,7,5,6,2,3]=>[4,7,1,5,2,3,6]=>{{1,4,5},{2,7},{3},{6}}=>{{1,6},{2},{3,4,7},{5}}
[1,4,7,5,6,3,2]=>[7,4,1,3,2,5,6]=>{{1,7},{2,4},{3},{5},{6}}=>{{1,7},{2},{3},{4,6},{5}}
[1,4,7,6,2,3,5]=>[1,4,7,6,2,3,5]=>{{1},{2,4,6},{3,7},{5}}=>{{1,5},{2,4,6},{3},{7}}
[1,4,7,6,2,5,3]=>[7,4,6,5,1,2,3]=>{{1,7},{2,4,5},{3,6}}=>{{1,7},{2,5},{3,4,6}}
[1,4,7,6,3,2,5]=>[4,7,6,3,1,2,5]=>{{1,4},{2,7},{3,6},{5}}=>{{1,6},{2,5},{3},{4,7}}
[1,4,7,6,3,5,2]=>[7,4,6,3,1,2,5]=>{{1,7},{2,4},{3,6},{5}}=>{{1,7},{2,5},{3},{4,6}}
[1,4,7,6,5,2,3]=>[4,7,6,5,1,2,3]=>{{1,4,5},{2,7},{3,6}}=>{{1,6},{2,5},{3,4,7}}
[1,4,7,6,5,3,2]=>[7,6,4,3,1,2,5]=>{{1,7},{2,6},{3,4},{5}}=>{{1,7},{2,6},{3},{4,5}}
[1,5,2,3,4,6,7]=>[1,2,3,5,6,4,7]=>{{1},{2},{3},{4,5,6},{7}}=>{{1},{2,3,4},{5},{6},{7}}
[1,5,2,3,4,7,6]=>[5,1,2,3,7,4,6]=>{{1,5,7},{2},{3},{4},{6}}=>{{1,3,7},{2},{4},{5},{6}}
[1,5,2,3,6,4,7]=>[1,5,2,3,6,4,7]=>{{1},{2,5,6},{3},{4},{7}}=>{{1},{2,3,6},{4},{5},{7}}
[1,5,2,3,6,7,4]=>[5,1,2,3,6,4,7]=>{{1,5,6},{2},{3},{4},{7}}=>{{1},{2,3,7},{4},{5},{6}}
[1,5,2,3,7,4,6]=>[1,5,2,3,7,4,6]=>{{1},{2,5,7},{3},{4},{6}}=>{{1,3,6},{2},{4},{5},{7}}
[1,5,2,3,7,6,4]=>[7,5,1,2,6,3,4]=>{{1,7},{2,5,6},{3},{4}}=>{{1,7},{2,3,6},{4},{5}}
[1,5,2,4,3,6,7]=>[1,2,5,4,6,3,7]=>{{1},{2},{3,5,6},{4},{7}}=>{{1},{2,3,5},{4},{6},{7}}
[1,5,2,4,3,7,6]=>[5,1,7,2,4,3,6]=>{{1,5},{2},{3,7},{4},{6}}=>{{1,5},{2},{3,7},{4},{6}}
[1,5,2,4,6,3,7]=>[1,5,2,4,6,3,7]=>{{1},{2,5,6},{3},{4},{7}}=>{{1},{2,3,6},{4},{5},{7}}
[1,5,2,4,6,7,3]=>[5,1,2,4,6,3,7]=>{{1,5,6},{2},{3},{4},{7}}=>{{1},{2,3,7},{4},{5},{6}}
[1,5,2,4,7,3,6]=>[5,7,1,2,4,3,6]=>{{1,5},{2,7},{3},{4},{6}}=>{{1,6},{2},{3,7},{4},{5}}
[1,5,2,4,7,6,3]=>[5,4,1,2,7,3,6]=>{{1,5,7},{2,4},{3},{6}}=>{{1,3,7},{2},{4,6},{5}}
[1,5,2,6,3,4,7]=>[1,2,5,3,6,4,7]=>{{1},{2},{3,5,6},{4},{7}}=>{{1},{2,3,5},{4},{6},{7}}
[1,5,2,6,3,7,4]=>[5,1,6,2,7,3,4]=>{{1,5,7},{2},{3,6},{4}}=>{{1,3,7},{2,5},{4},{6}}
[1,5,2,6,4,3,7]=>[1,5,4,2,6,3,7]=>{{1},{2,5,6},{3,4},{7}}=>{{1},{2,3,6},{4,5},{7}}
[1,5,2,6,4,7,3]=>[5,1,4,2,6,3,7]=>{{1,5,6},{2},{3,4},{7}}=>{{1},{2,3,7},{4,5},{6}}
[1,5,2,6,7,3,4]=>[5,6,1,2,7,3,4]=>{{1,5,7},{2,6},{3},{4}}=>{{1,3,7},{2,6},{4},{5}}
[1,5,2,6,7,4,3]=>[5,4,1,2,6,3,7]=>{{1,5,6},{2,4},{3},{7}}=>{{1},{2,3,7},{4,6},{5}}
[1,5,2,7,3,4,6]=>[1,2,5,3,7,4,6]=>{{1},{2},{3,5,7},{4},{6}}=>{{1,3,5},{2},{4},{6},{7}}
[1,5,2,7,3,6,4]=>[7,1,5,2,6,3,4]=>{{1,7},{2},{3,5,6},{4}}=>{{1,7},{2,3,5},{4},{6}}
[1,5,2,7,4,3,6]=>[1,5,4,2,7,3,6]=>{{1},{2,5,7},{3,4},{6}}=>{{1,3,6},{2},{4,5},{7}}
[1,5,2,7,4,6,3]=>[5,1,4,2,7,3,6]=>{{1,5,7},{2},{3,4},{6}}=>{{1,3,7},{2},{4,5},{6}}
[1,5,2,7,6,3,4]=>[1,7,5,2,6,3,4]=>{{1},{2,7},{3,5,6},{4}}=>{{1,6},{2,3,5},{4},{7}}
[1,5,2,7,6,4,3]=>[7,5,4,1,6,2,3]=>{{1,7},{2,5,6},{3,4}}=>{{1,7},{2,3,6},{4,5}}
[1,5,3,2,4,6,7]=>[1,3,5,6,4,2,7]=>{{1},{2,3,5},{4,6},{7}}=>{{1},{2,4},{3,5,6},{7}}
[1,5,3,2,4,7,6]=>[5,1,3,7,4,2,6]=>{{1,5},{2},{3},{4,7},{6}}=>{{1,4},{2},{3,7},{5},{6}}
[1,5,3,2,6,4,7]=>[1,5,3,6,4,2,7]=>{{1},{2,5},{3},{4,6},{7}}=>{{1},{2,4},{3,6},{5},{7}}
[1,5,3,2,6,7,4]=>[5,1,3,6,4,2,7]=>{{1,5},{2},{3},{4,6},{7}}=>{{1},{2,4},{3,7},{5},{6}}
[1,5,3,2,7,4,6]=>[1,5,3,7,4,2,6]=>{{1},{2,5},{3},{4,7},{6}}=>{{1,4},{2},{3,6},{5},{7}}
[1,5,3,2,7,6,4]=>[5,3,1,7,6,2,4]=>{{1,5,6},{2,3},{4,7}}=>{{1,4},{2,3,7},{5,6}}
[1,5,3,4,2,6,7]=>[1,3,5,4,6,2,7]=>{{1},{2,3,5,6},{4},{7}}=>{{1},{2,3,5,6},{4},{7}}
[1,5,3,4,2,7,6]=>[5,1,7,3,4,2,6]=>{{1,5},{2},{3,7},{4},{6}}=>{{1,5},{2},{3,7},{4},{6}}
[1,5,3,4,6,2,7]=>[1,5,3,4,6,2,7]=>{{1},{2,5,6},{3},{4},{7}}=>{{1},{2,3,6},{4},{5},{7}}
[1,5,3,4,6,7,2]=>[5,1,3,4,6,2,7]=>{{1,5,6},{2},{3},{4},{7}}=>{{1},{2,3,7},{4},{5},{6}}
[1,5,3,4,7,2,6]=>[5,7,1,3,4,2,6]=>{{1,5},{2,7},{3},{4},{6}}=>{{1,6},{2},{3,7},{4},{5}}
[1,5,3,4,7,6,2]=>[5,3,1,2,7,4,6]=>{{1,5,7},{2,3},{4},{6}}=>{{1,3,7},{2},{4},{5,6}}
[1,5,3,6,2,4,7]=>[1,5,6,3,4,2,7]=>{{1},{2,5},{3,6},{4},{7}}=>{{1},{2,5},{3,6},{4},{7}}
[1,5,3,6,2,7,4]=>[5,1,6,3,4,2,7]=>{{1,5},{2},{3,6},{4},{7}}=>{{1},{2,5},{3,7},{4},{6}}
[1,5,3,6,4,2,7]=>[1,5,3,2,6,4,7]=>{{1},{2,5,6},{3},{4},{7}}=>{{1},{2,3,6},{4},{5},{7}}
[1,5,3,6,4,7,2]=>[5,1,3,2,6,4,7]=>{{1,5,6},{2},{3},{4},{7}}=>{{1},{2,3,7},{4},{5},{6}}
[1,5,3,6,7,2,4]=>[5,6,1,3,4,2,7]=>{{1,5},{2,6},{3},{4},{7}}=>{{1},{2,6},{3,7},{4},{5}}
[1,5,3,6,7,4,2]=>[5,3,1,2,6,4,7]=>{{1,5,6},{2,3},{4},{7}}=>{{1},{2,3,7},{4},{5,6}}
[1,5,3,7,2,4,6]=>[1,5,7,3,4,2,6]=>{{1},{2,5},{3,7},{4},{6}}=>{{1,5},{2},{3,6},{4},{7}}
[1,5,3,7,2,6,4]=>[5,3,7,1,6,2,4]=>{{1,5,6},{2,3,7},{4}}=>{{1,5,6},{2,3,7},{4}}
[1,5,3,7,4,2,6]=>[1,5,3,2,7,4,6]=>{{1},{2,5,7},{3},{4},{6}}=>{{1,3,6},{2},{4},{5},{7}}
[1,5,3,7,4,6,2]=>[5,1,3,2,7,4,6]=>{{1,5,7},{2},{3},{4},{6}}=>{{1,3,7},{2},{4},{5},{6}}
[1,5,3,7,6,2,4]=>[5,7,3,1,6,2,4]=>{{1,5,6},{2,7},{3},{4}}=>{{1,6},{2,3,7},{4},{5}}
[1,5,3,7,6,4,2]=>[7,5,3,1,6,2,4]=>{{1,7},{2,5,6},{3},{4}}=>{{1,7},{2,3,6},{4},{5}}
[1,5,4,2,3,6,7]=>[1,2,5,6,4,3,7]=>{{1},{2},{3,5},{4,6},{7}}=>{{1},{2,4},{3,5},{6},{7}}
[1,5,4,2,3,7,6]=>[5,1,2,7,4,3,6]=>{{1,5},{2},{3},{4,7},{6}}=>{{1,4},{2},{3,7},{5},{6}}
[1,5,4,2,6,3,7]=>[1,5,2,6,4,3,7]=>{{1},{2,5},{3},{4,6},{7}}=>{{1},{2,4},{3,6},{5},{7}}
[1,5,4,2,6,7,3]=>[5,1,2,6,4,3,7]=>{{1,5},{2},{3},{4,6},{7}}=>{{1},{2,4},{3,7},{5},{6}}
[1,5,4,2,7,3,6]=>[1,5,2,7,4,3,6]=>{{1},{2,5},{3},{4,7},{6}}=>{{1,4},{2},{3,6},{5},{7}}
[1,5,4,2,7,6,3]=>[5,4,1,7,6,2,3]=>{{1,5,6},{2,4,7},{3}}=>{{1,4,6},{2,3,7},{5}}
[1,5,4,3,2,6,7]=>[1,5,6,4,3,2,7]=>{{1},{2,5},{3,6},{4},{7}}=>{{1},{2,5},{3,6},{4},{7}}
[1,5,4,3,2,7,6]=>[5,1,7,4,3,2,6]=>{{1,5},{2},{3,7},{4},{6}}=>{{1,5},{2},{3,7},{4},{6}}
[1,5,4,3,6,2,7]=>[1,5,4,6,3,2,7]=>{{1},{2,5},{3,4,6},{7}}=>{{1},{2,4,5},{3,6},{7}}
[1,5,4,3,6,7,2]=>[5,1,4,6,3,2,7]=>{{1,5},{2},{3,4,6},{7}}=>{{1},{2,4,5},{3,7},{6}}
[1,5,4,3,7,2,6]=>[5,7,1,4,3,2,6]=>{{1,5},{2,7},{3},{4},{6}}=>{{1,6},{2},{3,7},{4},{5}}
[1,5,4,3,7,6,2]=>[5,4,1,7,3,2,6]=>{{1,5},{2,4,7},{3},{6}}=>{{1,4,6},{2},{3,7},{5}}
[1,5,4,6,2,3,7]=>[1,5,6,2,4,3,7]=>{{1},{2,5},{3,6},{4},{7}}=>{{1},{2,5},{3,6},{4},{7}}
[1,5,4,6,2,7,3]=>[5,1,6,2,4,3,7]=>{{1,5},{2},{3,6},{4},{7}}=>{{1},{2,5},{3,7},{4},{6}}
[1,5,4,6,3,2,7]=>[1,5,4,3,6,2,7]=>{{1},{2,5,6},{3,4},{7}}=>{{1},{2,3,6},{4,5},{7}}
[1,5,4,6,3,7,2]=>[5,1,4,3,6,2,7]=>{{1,5,6},{2},{3,4},{7}}=>{{1},{2,3,7},{4,5},{6}}
[1,5,4,6,7,2,3]=>[5,6,1,2,4,3,7]=>{{1,5},{2,6},{3},{4},{7}}=>{{1},{2,6},{3,7},{4},{5}}
[1,5,4,6,7,3,2]=>[5,4,1,3,6,2,7]=>{{1,5,6},{2,4},{3},{7}}=>{{1},{2,3,7},{4,6},{5}}
[1,5,4,7,2,3,6]=>[1,5,7,2,4,3,6]=>{{1},{2,5},{3,7},{4},{6}}=>{{1,5},{2},{3,6},{4},{7}}
[1,5,4,7,2,6,3]=>[5,4,7,1,6,2,3]=>{{1,5,6},{2,4},{3,7}}=>{{1,5},{2,3,7},{4,6}}
[1,5,4,7,3,2,6]=>[5,7,4,1,3,2,6]=>{{1,5},{2,7},{3,4},{6}}=>{{1,6},{2},{3,7},{4,5}}
[1,5,4,7,3,6,2]=>[5,4,7,1,3,2,6]=>{{1,5},{2,4},{3,7},{6}}=>{{1,5},{2},{3,7},{4,6}}
[1,5,4,7,6,2,3]=>[5,7,4,1,6,2,3]=>{{1,5,6},{2,7},{3,4}}=>{{1,6},{2,3,7},{4,5}}
[1,5,4,7,6,3,2]=>[5,4,3,1,7,2,6]=>{{1,5,7},{2,4},{3},{6}}=>{{1,3,7},{2},{4,6},{5}}
[1,5,6,2,3,4,7]=>[1,2,5,6,3,4,7]=>{{1},{2},{3,5},{4,6},{7}}=>{{1},{2,4},{3,5},{6},{7}}
[1,5,6,2,3,7,4]=>[5,1,6,7,2,3,4]=>{{1,5},{2},{3,6},{4,7}}=>{{1,4},{2,5},{3,7},{6}}
[1,5,6,2,4,3,7]=>[1,5,4,6,2,3,7]=>{{1},{2,5},{3,4,6},{7}}=>{{1},{2,4,5},{3,6},{7}}
[1,5,6,2,4,7,3]=>[5,1,4,6,2,3,7]=>{{1,5},{2},{3,4,6},{7}}=>{{1},{2,4,5},{3,7},{6}}
[1,5,6,2,7,3,4]=>[5,6,1,7,2,3,4]=>{{1,5},{2,6},{3},{4,7}}=>{{1,4},{2,6},{3,7},{5}}
[1,5,6,2,7,4,3]=>[5,4,1,6,2,3,7]=>{{1,5},{2,4,6},{3},{7}}=>{{1},{2,4,6},{3,7},{5}}
[1,5,6,3,2,4,7]=>[1,5,6,3,2,4,7]=>{{1},{2,5},{3,6},{4},{7}}=>{{1},{2,5},{3,6},{4},{7}}
[1,5,6,3,2,7,4]=>[5,1,6,3,2,4,7]=>{{1,5},{2},{3,6},{4},{7}}=>{{1},{2,5},{3,7},{4},{6}}
[1,5,6,3,4,2,7]=>[1,5,3,6,2,4,7]=>{{1},{2,5},{3},{4,6},{7}}=>{{1},{2,4},{3,6},{5},{7}}
[1,5,6,3,4,7,2]=>[5,1,3,6,2,4,7]=>{{1,5},{2},{3},{4,6},{7}}=>{{1},{2,4},{3,7},{5},{6}}
[1,5,6,3,7,2,4]=>[5,6,1,3,2,4,7]=>{{1,5},{2,6},{3},{4},{7}}=>{{1},{2,6},{3,7},{4},{5}}
[1,5,6,3,7,4,2]=>[5,3,1,6,2,4,7]=>{{1,5},{2,3},{4,6},{7}}=>{{1},{2,4},{3,7},{5,6}}
[1,5,6,4,2,3,7]=>[1,5,6,4,2,3,7]=>{{1},{2,5},{3,6},{4},{7}}=>{{1},{2,5},{3,6},{4},{7}}
[1,5,6,4,2,7,3]=>[5,1,6,4,2,3,7]=>{{1,5},{2},{3,6},{4},{7}}=>{{1},{2,5},{3,7},{4},{6}}
[1,5,6,4,3,2,7]=>[1,5,4,3,2,6,7]=>{{1},{2,5},{3,4},{6},{7}}=>{{1},{2},{3,6},{4,5},{7}}
[1,5,6,4,3,7,2]=>[5,1,4,3,2,6,7]=>{{1,5},{2},{3,4},{6},{7}}=>{{1},{2},{3,7},{4,5},{6}}
[1,5,6,4,7,2,3]=>[5,6,1,4,2,3,7]=>{{1,5},{2,6},{3},{4},{7}}=>{{1},{2,6},{3,7},{4},{5}}
[1,5,6,4,7,3,2]=>[5,4,1,3,2,6,7]=>{{1,5},{2,4},{3},{6},{7}}=>{{1},{2},{3,7},{4,6},{5}}
[1,5,6,7,2,3,4]=>[5,6,7,1,2,3,4]=>{{1,5},{2,6},{3,7},{4}}=>{{1,5},{2,6},{3,7},{4}}
[1,5,6,7,2,4,3]=>[5,4,6,1,2,3,7]=>{{1,5},{2,4},{3,6},{7}}=>{{1},{2,5},{3,7},{4,6}}
[1,5,6,7,3,2,4]=>[5,6,3,1,2,4,7]=>{{1,5},{2,6},{3},{4},{7}}=>{{1},{2,6},{3,7},{4},{5}}
[1,5,6,7,3,4,2]=>[5,3,6,1,2,4,7]=>{{1,5},{2,3,6},{4},{7}}=>{{1},{2,5,6},{3,7},{4}}
[1,5,6,7,4,2,3]=>[5,6,4,1,2,3,7]=>{{1,5},{2,6},{3,4},{7}}=>{{1},{2,6},{3,7},{4,5}}
[1,5,6,7,4,3,2]=>[5,4,3,1,2,6,7]=>{{1,5},{2,4},{3},{6},{7}}=>{{1},{2},{3,7},{4,6},{5}}
[1,5,7,2,3,4,6]=>[1,2,5,7,3,4,6]=>{{1},{2},{3,5},{4,7},{6}}=>{{1,4},{2},{3,5},{6},{7}}
[1,5,7,2,3,6,4]=>[7,1,5,6,2,3,4]=>{{1,7},{2},{3,5},{4,6}}=>{{1,7},{2,4},{3,5},{6}}
[1,5,7,2,4,3,6]=>[1,5,4,7,2,3,6]=>{{1},{2,5},{3,4,7},{6}}=>{{1,4,5},{2},{3,6},{7}}
[1,5,7,2,4,6,3]=>[5,1,4,7,2,3,6]=>{{1,5},{2},{3,4,7},{6}}=>{{1,4,5},{2},{3,7},{6}}
[1,5,7,2,6,3,4]=>[1,7,5,6,2,3,4]=>{{1},{2,7},{3,5},{4,6}}=>{{1,6},{2,4},{3,5},{7}}
[1,5,7,2,6,4,3]=>[7,5,4,6,1,2,3]=>{{1,7},{2,5},{3,4,6}}=>{{1,7},{2,4,5},{3,6}}
[1,5,7,3,2,4,6]=>[1,5,7,3,2,4,6]=>{{1},{2,5},{3,7},{4},{6}}=>{{1,5},{2},{3,6},{4},{7}}
[1,5,7,3,2,6,4]=>[5,3,7,6,1,2,4]=>{{1,5},{2,3,7},{4,6}}=>{{1,5,6},{2,4},{3,7}}
[1,5,7,3,4,2,6]=>[1,5,3,7,2,4,6]=>{{1},{2,5},{3},{4,7},{6}}=>{{1,4},{2},{3,6},{5},{7}}
[1,5,7,3,4,6,2]=>[5,1,3,7,2,4,6]=>{{1,5},{2},{3},{4,7},{6}}=>{{1,4},{2},{3,7},{5},{6}}
[1,5,7,3,6,2,4]=>[5,7,3,6,1,2,4]=>{{1,5},{2,7},{3},{4,6}}=>{{1,6},{2,4},{3,7},{5}}
[1,5,7,3,6,4,2]=>[7,5,3,6,1,2,4]=>{{1,7},{2,5},{3},{4,6}}=>{{1,7},{2,4},{3,6},{5}}
[1,5,7,4,2,3,6]=>[1,5,7,4,2,3,6]=>{{1},{2,5},{3,7},{4},{6}}=>{{1,5},{2},{3,6},{4},{7}}
[1,5,7,4,2,6,3]=>[5,4,7,6,1,2,3]=>{{1,5},{2,4,6},{3,7}}=>{{1,5},{2,4,6},{3,7}}
[1,5,7,4,3,2,6]=>[5,7,4,3,1,2,6]=>{{1,5},{2,7},{3,4},{6}}=>{{1,6},{2},{3,7},{4,5}}
[1,5,7,4,3,6,2]=>[5,4,7,3,1,2,6]=>{{1,5},{2,4},{3,7},{6}}=>{{1,5},{2},{3,7},{4,6}}
[1,5,7,4,6,2,3]=>[5,7,4,6,1,2,3]=>{{1,5},{2,7},{3,4,6}}=>{{1,6},{2,4,5},{3,7}}
[1,5,7,4,6,3,2]=>[5,4,3,7,1,2,6]=>{{1,5},{2,4,7},{3},{6}}=>{{1,4,6},{2},{3,7},{5}}
[1,5,7,6,2,3,4]=>[1,5,7,6,2,3,4]=>{{1},{2,5},{3,7},{4,6}}=>{{1,5},{2,4},{3,6},{7}}
[1,5,7,6,2,4,3]=>[7,5,6,4,1,2,3]=>{{1,7},{2,5},{3,6},{4}}=>{{1,7},{2,5},{3,6},{4}}
[1,5,7,6,3,2,4]=>[5,7,6,3,1,2,4]=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}
[1,5,7,6,3,4,2]=>[7,5,6,3,1,2,4]=>{{1,7},{2,5},{3,6},{4}}=>{{1,7},{2,5},{3,6},{4}}
[1,5,7,6,4,2,3]=>[5,7,6,4,1,2,3]=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}
[1,5,7,6,4,3,2]=>[7,5,4,3,1,2,6]=>{{1,7},{2,5},{3,4},{6}}=>{{1,7},{2},{3,6},{4,5}}
[1,6,2,3,4,5,7]=>[1,2,3,4,6,5,7]=>{{1},{2},{3},{4},{5,6},{7}}=>{{1},{2,3},{4},{5},{6},{7}}
[1,6,2,3,4,7,5]=>[6,1,2,3,7,4,5]=>{{1,6},{2},{3},{4},{5,7}}=>{{1,3},{2,7},{4},{5},{6}}
[1,6,2,3,5,4,7]=>[1,6,2,3,5,4,7]=>{{1},{2,6},{3},{4},{5},{7}}=>{{1},{2,6},{3},{4},{5},{7}}
[1,6,2,3,5,7,4]=>[6,1,2,3,5,4,7]=>{{1,6},{2},{3},{4},{5},{7}}=>{{1},{2,7},{3},{4},{5},{6}}
[1,6,2,3,7,4,5]=>[1,6,2,3,7,4,5]=>{{1},{2,6},{3},{4},{5,7}}=>{{1,3},{2,6},{4},{5},{7}}
[1,6,2,3,7,5,4]=>[6,5,1,2,7,3,4]=>{{1,6},{2,5,7},{3},{4}}=>{{1,3,6},{2,7},{4},{5}}
[1,6,2,4,3,5,7]=>[1,2,6,4,5,3,7]=>{{1},{2},{3,6},{4},{5},{7}}=>{{1},{2,5},{3},{4},{6},{7}}
[1,6,2,4,3,7,5]=>[6,1,7,2,4,3,5]=>{{1,6},{2},{3,7},{4},{5}}=>{{1,5},{2,7},{3},{4},{6}}
[1,6,2,4,5,3,7]=>[1,6,2,4,5,3,7]=>{{1},{2,6},{3},{4},{5},{7}}=>{{1},{2,6},{3},{4},{5},{7}}
[1,6,2,4,5,7,3]=>[6,1,2,4,5,3,7]=>{{1,6},{2},{3},{4},{5},{7}}=>{{1},{2,7},{3},{4},{5},{6}}
[1,6,2,4,7,3,5]=>[6,7,1,2,4,3,5]=>{{1,6},{2,7},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}
[1,6,2,4,7,5,3]=>[6,4,1,2,7,3,5]=>{{1,6},{2,4},{3},{5,7}}=>{{1,3},{2,7},{4,6},{5}}
[1,6,2,5,3,4,7]=>[1,2,6,3,5,4,7]=>{{1},{2},{3,6},{4},{5},{7}}=>{{1},{2,5},{3},{4},{6},{7}}
[1,6,2,5,3,7,4]=>[6,1,7,2,5,3,4]=>{{1,6},{2},{3,7},{4},{5}}=>{{1,5},{2,7},{3},{4},{6}}
[1,6,2,5,4,3,7]=>[1,6,5,2,4,3,7]=>{{1},{2,6},{3,5},{4},{7}}=>{{1},{2,6},{3,5},{4},{7}}
[1,6,2,5,4,7,3]=>[6,1,5,2,4,3,7]=>{{1,6},{2},{3,5},{4},{7}}=>{{1},{2,7},{3,5},{4},{6}}
[1,6,2,5,7,3,4]=>[6,7,1,2,5,3,4]=>{{1,6},{2,7},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}
[1,6,2,5,7,4,3]=>[6,5,1,2,4,3,7]=>{{1,6},{2,5},{3},{4},{7}}=>{{1},{2,7},{3,6},{4},{5}}
[1,6,2,7,3,4,5]=>[1,2,6,3,7,4,5]=>{{1},{2},{3,6},{4},{5,7}}=>{{1,3},{2,5},{4},{6},{7}}
[1,6,2,7,3,5,4]=>[6,1,5,2,7,3,4]=>{{1,6},{2},{3,5,7},{4}}=>{{1,3,5},{2,7},{4},{6}}
[1,6,2,7,4,3,5]=>[1,6,4,2,7,3,5]=>{{1},{2,6},{3,4},{5,7}}=>{{1,3},{2,6},{4,5},{7}}
[1,6,2,7,4,5,3]=>[6,1,4,2,7,3,5]=>{{1,6},{2},{3,4},{5,7}}=>{{1,3},{2,7},{4,5},{6}}
[1,6,2,7,5,3,4]=>[1,6,5,2,7,3,4]=>{{1},{2,6},{3,5,7},{4}}=>{{1,3,5},{2,6},{4},{7}}
[1,6,2,7,5,4,3]=>[6,5,4,1,7,2,3]=>{{1,6},{2,5,7},{3,4}}=>{{1,3,6},{2,7},{4,5}}
[1,6,3,2,4,5,7]=>[1,3,4,6,5,2,7]=>{{1},{2,3,4,6},{5},{7}}=>{{1},{2,4,5,6},{3},{7}}
[1,6,3,2,4,7,5]=>[6,1,3,7,4,2,5]=>{{1,6},{2},{3},{4,7},{5}}=>{{1,4},{2,7},{3},{5},{6}}
[1,6,3,2,5,4,7]=>[1,3,2,6,5,4,7]=>{{1},{2,3},{4,6},{5},{7}}=>{{1},{2,4},{3},{5,6},{7}}
[1,6,3,2,5,7,4]=>[3,1,2,6,5,4,7]=>{{1,3},{2},{4,6},{5},{7}}=>{{1},{2,4},{3},{5,7},{6}}
[1,6,3,2,7,4,5]=>[1,6,3,7,4,2,5]=>{{1},{2,6},{3},{4,7},{5}}=>{{1,4},{2,6},{3},{5},{7}}
[1,6,3,2,7,5,4]=>[6,3,1,7,5,2,4]=>{{1,6},{2,3},{4,7},{5}}=>{{1,4},{2,7},{3},{5,6}}
[1,6,3,4,2,5,7]=>[1,3,6,4,5,2,7]=>{{1},{2,3,6},{4},{5},{7}}=>{{1},{2,5,6},{3},{4},{7}}
[1,6,3,4,2,7,5]=>[6,1,7,3,4,2,5]=>{{1,6},{2},{3,7},{4},{5}}=>{{1,5},{2,7},{3},{4},{6}}
[1,6,3,4,5,2,7]=>[1,6,3,4,5,2,7]=>{{1},{2,6},{3},{4},{5},{7}}=>{{1},{2,6},{3},{4},{5},{7}}
[1,6,3,4,5,7,2]=>[6,1,3,4,5,2,7]=>{{1,6},{2},{3},{4},{5},{7}}=>{{1},{2,7},{3},{4},{5},{6}}
[1,6,3,4,7,2,5]=>[6,7,1,3,4,2,5]=>{{1,6},{2,7},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}
[1,6,3,4,7,5,2]=>[6,3,1,2,7,4,5]=>{{1,6},{2,3},{4},{5,7}}=>{{1,3},{2,7},{4},{5,6}}
[1,6,3,5,2,4,7]=>[1,3,6,2,5,4,7]=>{{1},{2,3,6},{4},{5},{7}}=>{{1},{2,5,6},{3},{4},{7}}
[1,6,3,5,2,7,4]=>[3,1,6,2,5,4,7]=>{{1,3,6},{2},{4},{5},{7}}=>{{1},{2,5,7},{3},{4},{6}}
[1,6,3,5,4,2,7]=>[1,6,5,3,4,2,7]=>{{1},{2,6},{3,5},{4},{7}}=>{{1},{2,6},{3,5},{4},{7}}
[1,6,3,5,4,7,2]=>[6,1,5,3,4,2,7]=>{{1,6},{2},{3,5},{4},{7}}=>{{1},{2,7},{3,5},{4},{6}}
[1,6,3,5,7,2,4]=>[3,6,1,2,5,4,7]=>{{1,3},{2,6},{4},{5},{7}}=>{{1},{2,6},{3},{4},{5,7}}
[1,6,3,5,7,4,2]=>[6,5,1,3,4,2,7]=>{{1,6},{2,5},{3},{4},{7}}=>{{1},{2,7},{3,6},{4},{5}}
[1,6,3,7,2,4,5]=>[1,6,7,3,4,2,5]=>{{1},{2,6},{3,7},{4},{5}}=>{{1,5},{2,6},{3},{4},{7}}
[1,6,3,7,2,5,4]=>[6,3,7,1,5,2,4]=>{{1,6},{2,3,7},{4},{5}}=>{{1,5,6},{2,7},{3},{4}}
[1,6,3,7,4,2,5]=>[1,6,3,2,7,4,5]=>{{1},{2,6},{3},{4},{5,7}}=>{{1,3},{2,6},{4},{5},{7}}
[1,6,3,7,4,5,2]=>[6,1,3,2,7,4,5]=>{{1,6},{2},{3},{4},{5,7}}=>{{1,3},{2,7},{4},{5},{6}}
[1,6,3,7,5,2,4]=>[6,7,3,1,5,2,4]=>{{1,6},{2,7},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}
[1,6,3,7,5,4,2]=>[6,5,3,1,7,2,4]=>{{1,6},{2,5,7},{3},{4}}=>{{1,3,6},{2,7},{4},{5}}
[1,6,4,2,3,5,7]=>[1,2,4,6,5,3,7]=>{{1},{2},{3,4,6},{5},{7}}=>{{1},{2,4,5},{3},{6},{7}}
[1,6,4,2,3,7,5]=>[6,1,2,7,4,3,5]=>{{1,6},{2},{3},{4,7},{5}}=>{{1,4},{2,7},{3},{5},{6}}
[1,6,4,2,5,3,7]=>[1,4,2,6,5,3,7]=>{{1},{2,4,6},{3},{5},{7}}=>{{1},{2,4,6},{3},{5},{7}}
[1,6,4,2,5,7,3]=>[4,1,2,6,5,3,7]=>{{1,4,6},{2},{3},{5},{7}}=>{{1},{2,4,7},{3},{5},{6}}
[1,6,4,2,7,3,5]=>[1,6,2,7,4,3,5]=>{{1},{2,6},{3},{4,7},{5}}=>{{1,4},{2,6},{3},{5},{7}}
[1,6,4,2,7,5,3]=>[6,4,1,7,5,2,3]=>{{1,6},{2,4,7},{3},{5}}=>{{1,4,6},{2,7},{3},{5}}
[1,6,4,3,2,5,7]=>[1,4,6,5,3,2,7]=>{{1},{2,4,5},{3,6},{7}}=>{{1},{2,5},{3,4,6},{7}}
[1,6,4,3,2,7,5]=>[6,1,7,4,3,2,5]=>{{1,6},{2},{3,7},{4},{5}}=>{{1,5},{2,7},{3},{4},{6}}
[1,6,4,3,5,2,7]=>[1,6,4,5,3,2,7]=>{{1},{2,6},{3,4,5},{7}}=>{{1},{2,6},{3,4,5},{7}}
[1,6,4,3,5,7,2]=>[6,1,4,5,3,2,7]=>{{1,6},{2},{3,4,5},{7}}=>{{1},{2,7},{3,4,5},{6}}
[1,6,4,3,7,2,5]=>[6,7,1,4,3,2,5]=>{{1,6},{2,7},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}
[1,6,4,3,7,5,2]=>[6,4,1,7,3,2,5]=>{{1,6},{2,4,7},{3},{5}}=>{{1,4,6},{2,7},{3},{5}}
[1,6,4,5,2,3,7]=>[1,4,6,2,5,3,7]=>{{1},{2,4},{3,6},{5},{7}}=>{{1},{2,5},{3},{4,6},{7}}
[1,6,4,5,2,7,3]=>[4,1,6,2,5,3,7]=>{{1,4},{2},{3,6},{5},{7}}=>{{1},{2,5},{3},{4,7},{6}}
[1,6,4,5,3,2,7]=>[1,6,4,3,5,2,7]=>{{1},{2,6},{3,4},{5},{7}}=>{{1},{2,6},{3},{4,5},{7}}
[1,6,4,5,3,7,2]=>[6,1,4,3,5,2,7]=>{{1,6},{2},{3,4},{5},{7}}=>{{1},{2,7},{3},{4,5},{6}}
[1,6,4,5,7,2,3]=>[4,6,1,2,5,3,7]=>{{1,4},{2,6},{3},{5},{7}}=>{{1},{2,6},{3},{4,7},{5}}
[1,6,4,5,7,3,2]=>[6,4,1,3,5,2,7]=>{{1,6},{2,4},{3},{5},{7}}=>{{1},{2,7},{3},{4,6},{5}}
[1,6,4,7,2,3,5]=>[1,6,7,2,4,3,5]=>{{1},{2,6},{3,7},{4},{5}}=>{{1,5},{2,6},{3},{4},{7}}
[1,6,4,7,2,5,3]=>[6,4,7,1,5,2,3]=>{{1,6},{2,4},{3,7},{5}}=>{{1,5},{2,7},{3},{4,6}}
[1,6,4,7,3,2,5]=>[6,7,4,1,3,2,5]=>{{1,6},{2,7},{3,4},{5}}=>{{1,6},{2,7},{3},{4,5}}
[1,6,4,7,3,5,2]=>[6,4,7,1,3,2,5]=>{{1,6},{2,4},{3,7},{5}}=>{{1,5},{2,7},{3},{4,6}}
[1,6,4,7,5,2,3]=>[6,7,4,1,5,2,3]=>{{1,6},{2,7},{3,4},{5}}=>{{1,6},{2,7},{3},{4,5}}
[1,6,4,7,5,3,2]=>[6,4,3,1,7,2,5]=>{{1,6},{2,4},{3},{5,7}}=>{{1,3},{2,7},{4,6},{5}}
[1,6,5,2,3,4,7]=>[1,2,3,6,5,4,7]=>{{1},{2},{3},{4,6},{5},{7}}=>{{1},{2,4},{3},{5},{6},{7}}
[1,6,5,2,3,7,4]=>[6,1,2,7,5,3,4]=>{{1,6},{2},{3},{4,7},{5}}=>{{1,4},{2,7},{3},{5},{6}}
[1,6,5,2,4,3,7]=>[1,6,2,5,4,3,7]=>{{1},{2,6},{3},{4,5},{7}}=>{{1},{2,6},{3,4},{5},{7}}
[1,6,5,2,4,7,3]=>[6,1,2,5,4,3,7]=>{{1,6},{2},{3},{4,5},{7}}=>{{1},{2,7},{3,4},{5},{6}}
[1,6,5,2,7,3,4]=>[1,6,2,7,5,3,4]=>{{1},{2,6},{3},{4,7},{5}}=>{{1,4},{2,6},{3},{5},{7}}
[1,6,5,2,7,4,3]=>[6,5,1,7,4,2,3]=>{{1,6},{2,5},{3},{4,7}}=>{{1,4},{2,7},{3,6},{5}}
[1,6,5,3,2,4,7]=>[1,3,6,5,4,2,7]=>{{1},{2,3,6},{4,5},{7}}=>{{1},{2,5,6},{3,4},{7}}
[1,6,5,3,2,7,4]=>[6,1,7,5,3,2,4]=>{{1,6},{2},{3,7},{4,5}}=>{{1,5},{2,7},{3,4},{6}}
[1,6,5,3,4,2,7]=>[1,6,3,5,4,2,7]=>{{1},{2,6},{3},{4,5},{7}}=>{{1},{2,6},{3,4},{5},{7}}
[1,6,5,3,4,7,2]=>[6,1,3,5,4,2,7]=>{{1,6},{2},{3},{4,5},{7}}=>{{1},{2,7},{3,4},{5},{6}}
[1,6,5,3,7,2,4]=>[6,7,1,5,3,2,4]=>{{1,6},{2,7},{3},{4,5}}=>{{1,6},{2,7},{3,4},{5}}
[1,6,5,3,7,4,2]=>[6,5,1,7,3,2,4]=>{{1,6},{2,5},{3},{4,7}}=>{{1,4},{2,7},{3,6},{5}}
[1,6,5,4,2,3,7]=>[1,2,6,5,4,3,7]=>{{1},{2},{3,6},{4,5},{7}}=>{{1},{2,5},{3,4},{6},{7}}
[1,6,5,4,2,7,3]=>[6,1,7,5,4,2,3]=>{{1,6},{2},{3,7},{4,5}}=>{{1,5},{2,7},{3,4},{6}}
[1,6,5,4,3,2,7]=>[1,6,5,4,3,2,7]=>{{1},{2,6},{3,5},{4},{7}}=>{{1},{2,6},{3,5},{4},{7}}
[1,6,5,4,3,7,2]=>[6,1,5,4,3,2,7]=>{{1,6},{2},{3,5},{4},{7}}=>{{1},{2,7},{3,5},{4},{6}}
[1,6,5,4,7,2,3]=>[6,7,1,5,4,2,3]=>{{1,6},{2,7},{3},{4,5}}=>{{1,6},{2,7},{3,4},{5}}
[1,6,5,4,7,3,2]=>[6,5,1,4,3,2,7]=>{{1,6},{2,5},{3},{4},{7}}=>{{1},{2,7},{3,6},{4},{5}}
[1,6,5,7,2,3,4]=>[1,6,7,2,5,3,4]=>{{1},{2,6},{3,7},{4},{5}}=>{{1,5},{2,6},{3},{4},{7}}
[1,6,5,7,2,4,3]=>[6,5,7,1,4,2,3]=>{{1,6},{2,5},{3,7},{4}}=>{{1,5},{2,7},{3,6},{4}}
[1,6,5,7,3,2,4]=>[6,7,5,1,3,2,4]=>{{1,6},{2,7},{3,5},{4}}=>{{1,6},{2,7},{3,5},{4}}
[1,6,5,7,3,4,2]=>[6,5,7,1,3,2,4]=>{{1,6},{2,5},{3,7},{4}}=>{{1,5},{2,7},{3,6},{4}}
[1,6,5,7,4,2,3]=>[6,7,5,1,4,2,3]=>{{1,6},{2,7},{3,5},{4}}=>{{1,6},{2,7},{3,5},{4}}
[1,6,5,7,4,3,2]=>[6,5,4,1,3,2,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1},{2,7},{3,6},{4,5}}
[1,6,7,2,3,4,5]=>[1,2,6,7,3,4,5]=>{{1},{2},{3,6},{4,7},{5}}=>{{1,4},{2,5},{3},{6},{7}}
[1,6,7,2,3,5,4]=>[6,1,5,7,2,3,4]=>{{1,6},{2},{3,5},{4,7}}=>{{1,4},{2,7},{3,5},{6}}
[1,6,7,2,4,3,5]=>[1,6,4,7,2,3,5]=>{{1},{2,6},{3,4,7},{5}}=>{{1,4,5},{2,6},{3},{7}}
[1,6,7,2,4,5,3]=>[6,1,4,7,2,3,5]=>{{1,6},{2},{3,4,7},{5}}=>{{1,4,5},{2,7},{3},{6}}
[1,6,7,2,5,3,4]=>[1,6,5,7,2,3,4]=>{{1},{2,6},{3,5},{4,7}}=>{{1,4},{2,6},{3,5},{7}}
[1,6,7,2,5,4,3]=>[6,5,4,7,1,2,3]=>{{1,6},{2,5},{3,4,7}}=>{{1,4,5},{2,7},{3,6}}
[1,6,7,3,2,4,5]=>[1,6,7,3,2,4,5]=>{{1},{2,6},{3,7},{4},{5}}=>{{1,5},{2,6},{3},{4},{7}}
[1,6,7,3,2,5,4]=>[6,3,7,5,1,2,4]=>{{1,6},{2,3,7},{4,5}}=>{{1,5,6},{2,7},{3,4}}
[1,6,7,3,4,2,5]=>[1,6,3,7,2,4,5]=>{{1},{2,6},{3},{4,7},{5}}=>{{1,4},{2,6},{3},{5},{7}}
[1,6,7,3,4,5,2]=>[6,1,3,7,2,4,5]=>{{1,6},{2},{3},{4,7},{5}}=>{{1,4},{2,7},{3},{5},{6}}
[1,6,7,3,5,2,4]=>[6,7,3,5,1,2,4]=>{{1,6},{2,7},{3},{4,5}}=>{{1,6},{2,7},{3,4},{5}}
[1,6,7,3,5,4,2]=>[6,5,3,7,1,2,4]=>{{1,6},{2,5},{3},{4,7}}=>{{1,4},{2,7},{3,6},{5}}
[1,6,7,4,2,3,5]=>[1,6,7,4,2,3,5]=>{{1},{2,6},{3,7},{4},{5}}=>{{1,5},{2,6},{3},{4},{7}}
[1,6,7,4,2,5,3]=>[6,4,7,5,1,2,3]=>{{1,6},{2,4,5},{3,7}}=>{{1,5},{2,7},{3,4,6}}
[1,6,7,4,3,2,5]=>[6,7,4,3,1,2,5]=>{{1,6},{2,7},{3,4},{5}}=>{{1,6},{2,7},{3},{4,5}}
[1,6,7,4,3,5,2]=>[6,4,7,3,1,2,5]=>{{1,6},{2,4},{3,7},{5}}=>{{1,5},{2,7},{3},{4,6}}
[1,6,7,4,5,2,3]=>[6,7,4,5,1,2,3]=>{{1,6},{2,7},{3,4,5}}=>{{1,6},{2,7},{3,4,5}}
[1,6,7,4,5,3,2]=>[6,4,3,7,1,2,5]=>{{1,6},{2,4,7},{3},{5}}=>{{1,4,6},{2,7},{3},{5}}
[1,6,7,5,2,3,4]=>[1,6,7,5,2,3,4]=>{{1},{2,6},{3,7},{4,5}}=>{{1,5},{2,6},{3,4},{7}}
[1,6,7,5,2,4,3]=>[6,5,7,4,1,2,3]=>{{1,6},{2,5},{3,7},{4}}=>{{1,5},{2,7},{3,6},{4}}
[1,6,7,5,3,2,4]=>[6,7,5,3,1,2,4]=>{{1,6},{2,7},{3,5},{4}}=>{{1,6},{2,7},{3,5},{4}}
[1,6,7,5,3,4,2]=>[6,5,7,3,1,2,4]=>{{1,6},{2,5},{3,7},{4}}=>{{1,5},{2,7},{3,6},{4}}
[1,6,7,5,4,2,3]=>[6,7,5,4,1,2,3]=>{{1,6},{2,7},{3,5},{4}}=>{{1,6},{2,7},{3,5},{4}}
[1,6,7,5,4,3,2]=>[6,5,4,3,1,2,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1},{2,7},{3,6},{4,5}}
[1,7,2,3,4,5,6]=>[1,2,3,4,7,5,6]=>{{1},{2},{3},{4},{5,7},{6}}=>{{1,3},{2},{4},{5},{6},{7}}
[1,7,2,3,4,6,5]=>[7,1,2,3,6,4,5]=>{{1,7},{2},{3},{4},{5,6}}=>{{1,7},{2,3},{4},{5},{6}}
[1,7,2,3,5,4,6]=>[1,7,2,3,5,4,6]=>{{1},{2,7},{3},{4},{5},{6}}=>{{1,6},{2},{3},{4},{5},{7}}
[1,7,2,3,5,6,4]=>[7,1,2,3,5,4,6]=>{{1,7},{2},{3},{4},{5},{6}}=>{{1,7},{2},{3},{4},{5},{6}}
[1,7,2,3,6,4,5]=>[1,7,2,3,6,4,5]=>{{1},{2,7},{3},{4},{5,6}}=>{{1,6},{2,3},{4},{5},{7}}
[1,7,2,3,6,5,4]=>[7,6,1,2,5,3,4]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[1,7,2,4,3,5,6]=>[1,2,7,4,5,3,6]=>{{1},{2},{3,7},{4},{5},{6}}=>{{1,5},{2},{3},{4},{6},{7}}
[1,7,2,4,3,6,5]=>[4,1,7,2,6,3,5]=>{{1,4},{2},{3,7},{5,6}}=>{{1,5},{2,3},{4,7},{6}}
[1,7,2,4,5,3,6]=>[1,7,2,4,5,3,6]=>{{1},{2,7},{3},{4},{5},{6}}=>{{1,6},{2},{3},{4},{5},{7}}
[1,7,2,4,5,6,3]=>[7,1,2,4,5,3,6]=>{{1,7},{2},{3},{4},{5},{6}}=>{{1,7},{2},{3},{4},{5},{6}}
[1,7,2,4,6,3,5]=>[4,7,1,2,6,3,5]=>{{1,4},{2,7},{3},{5,6}}=>{{1,6},{2,3},{4,7},{5}}
[1,7,2,4,6,5,3]=>[7,6,1,2,4,3,5]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[1,7,2,5,3,4,6]=>[1,2,7,3,5,4,6]=>{{1},{2},{3,7},{4},{5},{6}}=>{{1,5},{2},{3},{4},{6},{7}}
[1,7,2,5,3,6,4]=>[5,1,7,2,6,3,4]=>{{1,5,6},{2},{3,7},{4}}=>{{1,5},{2,3,7},{4},{6}}
[1,7,2,5,4,3,6]=>[1,7,5,2,4,3,6]=>{{1},{2,7},{3,5},{4},{6}}=>{{1,6},{2},{3,5},{4},{7}}
[1,7,2,5,4,6,3]=>[7,1,5,2,4,3,6]=>{{1,7},{2},{3,5},{4},{6}}=>{{1,7},{2},{3,5},{4},{6}}
[1,7,2,5,6,3,4]=>[5,7,1,2,6,3,4]=>{{1,5,6},{2,7},{3},{4}}=>{{1,6},{2,3,7},{4},{5}}
[1,7,2,5,6,4,3]=>[7,5,1,2,4,3,6]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,7},{2},{3,6},{4},{5}}
[1,7,2,6,3,4,5]=>[1,2,7,3,6,4,5]=>{{1},{2},{3,7},{4},{5,6}}=>{{1,5},{2,3},{4},{6},{7}}
[1,7,2,6,3,5,4]=>[7,1,6,2,5,3,4]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,7},{2,5},{3},{4},{6}}
[1,7,2,6,4,3,5]=>[1,7,6,2,4,3,5]=>{{1},{2,7},{3,6},{4},{5}}=>{{1,6},{2,5},{3},{4},{7}}
[1,7,2,6,4,5,3]=>[7,1,6,2,4,3,5]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,7},{2,5},{3},{4},{6}}
[1,7,2,6,5,3,4]=>[1,7,6,2,5,3,4]=>{{1},{2,7},{3,6},{4},{5}}=>{{1,6},{2,5},{3},{4},{7}}
[1,7,2,6,5,4,3]=>[7,6,5,1,4,2,3]=>{{1,7},{2,6},{3,5},{4}}=>{{1,7},{2,6},{3,5},{4}}
[1,7,3,2,4,5,6]=>[1,3,4,7,5,2,6]=>{{1},{2,3,4,7},{5},{6}}=>{{1,4,5,6},{2},{3},{7}}
[1,7,3,2,4,6,5]=>[3,1,2,7,6,4,5]=>{{1,3},{2},{4,7},{5,6}}=>{{1,4},{2,3},{5,7},{6}}
[1,7,3,2,5,4,6]=>[1,3,2,7,5,4,6]=>{{1},{2,3},{4,7},{5},{6}}=>{{1,4},{2},{3},{5,6},{7}}
[1,7,3,2,5,6,4]=>[3,1,2,7,5,4,6]=>{{1,3},{2},{4,7},{5},{6}}=>{{1,4},{2},{3},{5,7},{6}}
[1,7,3,2,6,4,5]=>[1,3,2,7,6,4,5]=>{{1},{2,3},{4,7},{5,6}}=>{{1,4},{2,3},{5,6},{7}}
[1,7,3,2,6,5,4]=>[7,3,1,6,5,2,4]=>{{1,7},{2,3},{4,6},{5}}=>{{1,7},{2,4},{3},{5,6}}
[1,7,3,4,2,5,6]=>[1,3,7,4,5,2,6]=>{{1},{2,3,7},{4},{5},{6}}=>{{1,5,6},{2},{3},{4},{7}}
[1,7,3,4,2,6,5]=>[3,1,7,2,6,4,5]=>{{1,3,7},{2},{4},{5,6}}=>{{1,5,7},{2,3},{4},{6}}
[1,7,3,4,5,2,6]=>[1,7,3,4,5,2,6]=>{{1},{2,7},{3},{4},{5},{6}}=>{{1,6},{2},{3},{4},{5},{7}}
[1,7,3,4,5,6,2]=>[7,1,3,4,5,2,6]=>{{1,7},{2},{3},{4},{5},{6}}=>{{1,7},{2},{3},{4},{5},{6}}
[1,7,3,4,6,2,5]=>[3,7,1,2,6,4,5]=>{{1,3},{2,7},{4},{5,6}}=>{{1,6},{2,3},{4},{5,7}}
[1,7,3,4,6,5,2]=>[7,6,1,3,4,2,5]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[1,7,3,5,2,4,6]=>[1,3,7,2,5,4,6]=>{{1},{2,3,7},{4},{5},{6}}=>{{1,5,6},{2},{3},{4},{7}}
[1,7,3,5,2,6,4]=>[3,1,7,2,5,4,6]=>{{1,3,7},{2},{4},{5},{6}}=>{{1,5,7},{2},{3},{4},{6}}
[1,7,3,5,4,2,6]=>[1,7,5,3,4,2,6]=>{{1},{2,7},{3,5},{4},{6}}=>{{1,6},{2},{3,5},{4},{7}}
[1,7,3,5,4,6,2]=>[7,1,5,3,4,2,6]=>{{1,7},{2},{3,5},{4},{6}}=>{{1,7},{2},{3,5},{4},{6}}
[1,7,3,5,6,2,4]=>[3,7,1,2,5,4,6]=>{{1,3},{2,7},{4},{5},{6}}=>{{1,6},{2},{3},{4},{5,7}}
[1,7,3,5,6,4,2]=>[7,5,1,3,4,2,6]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,7},{2},{3,6},{4},{5}}
[1,7,3,6,2,4,5]=>[1,3,7,2,6,4,5]=>{{1},{2,3,7},{4},{5,6}}=>{{1,5,6},{2,3},{4},{7}}
[1,7,3,6,2,5,4]=>[7,3,6,1,5,2,4]=>{{1,7},{2,3,6},{4},{5}}=>{{1,7},{2,5,6},{3},{4}}
[1,7,3,6,4,2,5]=>[1,7,6,3,4,2,5]=>{{1},{2,7},{3,6},{4},{5}}=>{{1,6},{2,5},{3},{4},{7}}
[1,7,3,6,4,5,2]=>[7,1,6,3,4,2,5]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,7},{2,5},{3},{4},{6}}
[1,7,3,6,5,2,4]=>[3,7,6,1,5,2,4]=>{{1,3,6},{2,7},{4},{5}}=>{{1,6},{2,5,7},{3},{4}}
[1,7,3,6,5,4,2]=>[7,6,5,1,3,2,4]=>{{1,7},{2,6},{3,5},{4}}=>{{1,7},{2,6},{3,5},{4}}
[1,7,4,2,3,5,6]=>[1,2,4,7,5,3,6]=>{{1},{2},{3,4,7},{5},{6}}=>{{1,4,5},{2},{3},{6},{7}}
[1,7,4,2,3,6,5]=>[4,1,2,7,6,3,5]=>{{1,4,7},{2},{3},{5,6}}=>{{1,4,7},{2,3},{5},{6}}
[1,7,4,2,5,3,6]=>[1,4,2,7,5,3,6]=>{{1},{2,4,7},{3},{5},{6}}=>{{1,4,6},{2},{3},{5},{7}}
[1,7,4,2,5,6,3]=>[4,1,2,7,5,3,6]=>{{1,4,7},{2},{3},{5},{6}}=>{{1,4,7},{2},{3},{5},{6}}
[1,7,4,2,6,3,5]=>[1,4,2,7,6,3,5]=>{{1},{2,4,7},{3},{5,6}}=>{{1,4,6},{2,3},{5},{7}}
[1,7,4,2,6,5,3]=>[7,4,1,6,5,2,3]=>{{1,7},{2,4,6},{3},{5}}=>{{1,7},{2,4,6},{3},{5}}
[1,7,4,3,2,5,6]=>[1,4,7,5,3,2,6]=>{{1},{2,4,5},{3,7},{6}}=>{{1,5},{2},{3,4,6},{7}}
[1,7,4,3,2,6,5]=>[4,1,7,6,3,2,5]=>{{1,4,6},{2},{3,7},{5}}=>{{1,5},{2,4,7},{3},{6}}
[1,7,4,3,5,2,6]=>[1,7,4,5,3,2,6]=>{{1},{2,7},{3,4,5},{6}}=>{{1,6},{2},{3,4,5},{7}}
[1,7,4,3,5,6,2]=>[7,1,4,5,3,2,6]=>{{1,7},{2},{3,4,5},{6}}=>{{1,7},{2},{3,4,5},{6}}
[1,7,4,3,6,2,5]=>[4,7,1,6,3,2,5]=>{{1,4,6},{2,7},{3},{5}}=>{{1,6},{2,4,7},{3},{5}}
[1,7,4,3,6,5,2]=>[7,4,1,6,3,2,5]=>{{1,7},{2,4,6},{3},{5}}=>{{1,7},{2,4,6},{3},{5}}
[1,7,4,5,2,3,6]=>[1,4,7,2,5,3,6]=>{{1},{2,4},{3,7},{5},{6}}=>{{1,5},{2},{3},{4,6},{7}}
[1,7,4,5,2,6,3]=>[4,1,7,2,5,3,6]=>{{1,4},{2},{3,7},{5},{6}}=>{{1,5},{2},{3},{4,7},{6}}
[1,7,4,5,3,2,6]=>[1,7,4,3,5,2,6]=>{{1},{2,7},{3,4},{5},{6}}=>{{1,6},{2},{3},{4,5},{7}}
[1,7,4,5,3,6,2]=>[7,1,4,3,5,2,6]=>{{1,7},{2},{3,4},{5},{6}}=>{{1,7},{2},{3},{4,5},{6}}
[1,7,4,5,6,2,3]=>[4,7,1,2,5,3,6]=>{{1,4},{2,7},{3},{5},{6}}=>{{1,6},{2},{3},{4,7},{5}}
[1,7,4,5,6,3,2]=>[7,4,1,3,5,2,6]=>{{1,7},{2,4},{3},{5},{6}}=>{{1,7},{2},{3},{4,6},{5}}
[1,7,4,6,2,3,5]=>[1,4,7,2,6,3,5]=>{{1},{2,4},{3,7},{5,6}}=>{{1,5},{2,3},{4,6},{7}}
[1,7,4,6,2,5,3]=>[7,4,6,1,5,2,3]=>{{1,7},{2,4},{3,6},{5}}=>{{1,7},{2,5},{3},{4,6}}
[1,7,4,6,3,2,5]=>[4,7,6,1,3,2,5]=>{{1,4},{2,7},{3,6},{5}}=>{{1,6},{2,5},{3},{4,7}}
[1,7,4,6,3,5,2]=>[7,4,6,1,3,2,5]=>{{1,7},{2,4},{3,6},{5}}=>{{1,7},{2,5},{3},{4,6}}
[1,7,4,6,5,2,3]=>[4,7,6,1,5,2,3]=>{{1,4},{2,7},{3,6},{5}}=>{{1,6},{2,5},{3},{4,7}}
[1,7,4,6,5,3,2]=>[7,6,4,1,3,2,5]=>{{1,7},{2,6},{3,4},{5}}=>{{1,7},{2,6},{3},{4,5}}
[1,7,5,2,3,4,6]=>[1,2,3,7,5,4,6]=>{{1},{2},{3},{4,7},{5},{6}}=>{{1,4},{2},{3},{5},{6},{7}}
[1,7,5,2,3,6,4]=>[5,1,2,7,6,3,4]=>{{1,5,6},{2},{3},{4,7}}=>{{1,4},{2,3,7},{5},{6}}
[1,7,5,2,4,3,6]=>[1,7,2,5,4,3,6]=>{{1},{2,7},{3},{4,5},{6}}=>{{1,6},{2},{3,4},{5},{7}}
[1,7,5,2,4,6,3]=>[7,1,2,5,4,3,6]=>{{1,7},{2},{3},{4,5},{6}}=>{{1,7},{2},{3,4},{5},{6}}
[1,7,5,2,6,3,4]=>[1,5,2,7,6,3,4]=>{{1},{2,5,6},{3},{4,7}}=>{{1,4},{2,3,6},{5},{7}}
[1,7,5,2,6,4,3]=>[7,5,1,6,4,2,3]=>{{1,7},{2,5},{3},{4,6}}=>{{1,7},{2,4},{3,6},{5}}
[1,7,5,3,2,4,6]=>[1,3,7,5,4,2,6]=>{{1},{2,3,7},{4,5},{6}}=>{{1,5,6},{2},{3,4},{7}}
[1,7,5,3,2,6,4]=>[5,1,7,6,3,2,4]=>{{1,5},{2},{3,7},{4,6}}=>{{1,5},{2,4},{3,7},{6}}
[1,7,5,3,4,2,6]=>[1,7,3,5,4,2,6]=>{{1},{2,7},{3},{4,5},{6}}=>{{1,6},{2},{3,4},{5},{7}}
[1,7,5,3,4,6,2]=>[7,1,3,5,4,2,6]=>{{1,7},{2},{3},{4,5},{6}}=>{{1,7},{2},{3,4},{5},{6}}
[1,7,5,3,6,2,4]=>[5,7,1,6,3,2,4]=>{{1,5},{2,7},{3},{4,6}}=>{{1,6},{2,4},{3,7},{5}}
[1,7,5,3,6,4,2]=>[7,5,1,6,3,2,4]=>{{1,7},{2,5},{3},{4,6}}=>{{1,7},{2,4},{3,6},{5}}
[1,7,5,4,2,3,6]=>[1,2,7,5,4,3,6]=>{{1},{2},{3,7},{4,5},{6}}=>{{1,5},{2},{3,4},{6},{7}}
[1,7,5,4,2,6,3]=>[5,1,7,6,4,2,3]=>{{1,5},{2},{3,7},{4,6}}=>{{1,5},{2,4},{3,7},{6}}
[1,7,5,4,3,2,6]=>[1,7,5,4,3,2,6]=>{{1},{2,7},{3,5},{4},{6}}=>{{1,6},{2},{3,5},{4},{7}}
[1,7,5,4,3,6,2]=>[7,1,5,4,3,2,6]=>{{1,7},{2},{3,5},{4},{6}}=>{{1,7},{2},{3,5},{4},{6}}
[1,7,5,4,6,2,3]=>[5,7,1,6,4,2,3]=>{{1,5},{2,7},{3},{4,6}}=>{{1,6},{2,4},{3,7},{5}}
[1,7,5,4,6,3,2]=>[7,5,1,4,3,2,6]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,7},{2},{3,6},{4},{5}}
[1,7,5,6,2,3,4]=>[1,5,7,2,6,3,4]=>{{1},{2,5,6},{3,7},{4}}=>{{1,5},{2,3,6},{4},{7}}
[1,7,5,6,2,4,3]=>[7,5,6,1,4,2,3]=>{{1,7},{2,5},{3,6},{4}}=>{{1,7},{2,5},{3,6},{4}}
[1,7,5,6,3,2,4]=>[5,7,6,1,3,2,4]=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}
[1,7,5,6,3,4,2]=>[7,5,6,1,3,2,4]=>{{1,7},{2,5},{3,6},{4}}=>{{1,7},{2,5},{3,6},{4}}
[1,7,5,6,4,2,3]=>[5,7,6,1,4,2,3]=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}
[1,7,5,6,4,3,2]=>[7,5,4,1,3,2,6]=>{{1,7},{2,5},{3,4},{6}}=>{{1,7},{2},{3,6},{4,5}}
[1,7,6,2,3,4,5]=>[1,2,3,7,6,4,5]=>{{1},{2},{3},{4,7},{5,6}}=>{{1,4},{2,3},{5},{6},{7}}
[1,7,6,2,3,5,4]=>[7,1,2,6,5,3,4]=>{{1,7},{2},{3},{4,6},{5}}=>{{1,7},{2,4},{3},{5},{6}}
[1,7,6,2,4,3,5]=>[1,7,2,6,4,3,5]=>{{1},{2,7},{3},{4,6},{5}}=>{{1,6},{2,4},{3},{5},{7}}
[1,7,6,2,4,5,3]=>[7,1,2,6,4,3,5]=>{{1,7},{2},{3},{4,6},{5}}=>{{1,7},{2,4},{3},{5},{6}}
[1,7,6,2,5,3,4]=>[1,7,2,6,5,3,4]=>{{1},{2,7},{3},{4,6},{5}}=>{{1,6},{2,4},{3},{5},{7}}
[1,7,6,2,5,4,3]=>[7,6,1,5,4,2,3]=>{{1,7},{2,6},{3},{4,5}}=>{{1,7},{2,6},{3,4},{5}}
[1,7,6,3,2,4,5]=>[1,3,7,6,4,2,5]=>{{1},{2,3,7},{4,6},{5}}=>{{1,5,6},{2,4},{3},{7}}
[1,7,6,3,2,5,4]=>[3,1,7,6,5,2,4]=>{{1,3,7},{2},{4,6},{5}}=>{{1,5,7},{2,4},{3},{6}}
[1,7,6,3,4,2,5]=>[1,7,3,6,4,2,5]=>{{1},{2,7},{3},{4,6},{5}}=>{{1,6},{2,4},{3},{5},{7}}
[1,7,6,3,4,5,2]=>[7,1,3,6,4,2,5]=>{{1,7},{2},{3},{4,6},{5}}=>{{1,7},{2,4},{3},{5},{6}}
[1,7,6,3,5,2,4]=>[3,7,1,6,5,2,4]=>{{1,3},{2,7},{4,6},{5}}=>{{1,6},{2,4},{3},{5,7}}
[1,7,6,3,5,4,2]=>[7,6,1,5,3,2,4]=>{{1,7},{2,6},{3},{4,5}}=>{{1,7},{2,6},{3,4},{5}}
[1,7,6,4,2,3,5]=>[1,2,7,6,4,3,5]=>{{1},{2},{3,7},{4,6},{5}}=>{{1,5},{2,4},{3},{6},{7}}
[1,7,6,4,2,5,3]=>[4,1,7,6,5,2,3]=>{{1,4,6},{2},{3,7},{5}}=>{{1,5},{2,4,7},{3},{6}}
[1,7,6,4,3,2,5]=>[1,7,6,4,3,2,5]=>{{1},{2,7},{3,6},{4},{5}}=>{{1,6},{2,5},{3},{4},{7}}
[1,7,6,4,3,5,2]=>[7,1,6,4,3,2,5]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,7},{2,5},{3},{4},{6}}
[1,7,6,4,5,2,3]=>[4,7,1,6,5,2,3]=>{{1,4,6},{2,7},{3},{5}}=>{{1,6},{2,4,7},{3},{5}}
[1,7,6,4,5,3,2]=>[7,6,1,4,3,2,5]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[1,7,6,5,2,3,4]=>[1,2,7,6,5,3,4]=>{{1},{2},{3,7},{4,6},{5}}=>{{1,5},{2,4},{3},{6},{7}}
[1,7,6,5,2,4,3]=>[7,1,6,5,4,2,3]=>{{1,7},{2},{3,6},{4,5}}=>{{1,7},{2,5},{3,4},{6}}
[1,7,6,5,3,2,4]=>[1,7,6,5,3,2,4]=>{{1},{2,7},{3,6},{4,5}}=>{{1,6},{2,5},{3,4},{7}}
[1,7,6,5,3,4,2]=>[7,1,6,5,3,2,4]=>{{1,7},{2},{3,6},{4,5}}=>{{1,7},{2,5},{3,4},{6}}
[1,7,6,5,4,2,3]=>[1,7,6,5,4,2,3]=>{{1},{2,7},{3,6},{4,5}}=>{{1,6},{2,5},{3,4},{7}}
[1,7,6,5,4,3,2]=>[7,6,5,4,3,1,2]=>{{1,7},{2,6},{3,5},{4}}=>{{1,7},{2,6},{3,5},{4}}
[2,1,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>{{1,2,3,4,5,6,7}}=>{{1,2,3,4,5,6,7}}
[2,1,3,4,5,7,6]=>[2,1,3,4,5,7,6]=>{{1,2},{3},{4},{5},{6,7}}=>{{1,2},{3},{4},{5},{6,7}}
[2,1,3,4,6,5,7]=>[2,3,1,4,6,7,5]=>{{1,2,3},{4},{5,6,7}}=>{{1,2,3},{4},{5,6,7}}
[2,1,3,4,6,7,5]=>[2,1,3,4,6,7,5]=>{{1,2},{3},{4},{5,6,7}}=>{{1,2,3},{4},{5},{6,7}}
[2,1,3,4,7,5,6]=>[2,3,1,4,5,7,6]=>{{1,2,3},{4},{5},{6,7}}=>{{1,2},{3},{4},{5,6,7}}
[2,1,3,4,7,6,5]=>[7,2,1,3,4,6,5]=>{{1,7},{2},{3},{4},{5},{6}}=>{{1,7},{2},{3},{4},{5},{6}}
[2,1,3,5,4,6,7]=>[2,3,5,1,6,7,4]=>{{1,2,3,5,6,7},{4}}=>{{1,2,3,5,6,7},{4}}
[2,1,3,5,4,7,6]=>[2,1,5,3,4,7,6]=>{{1,2},{3,5},{4},{6,7}}=>{{1,2},{3,5},{4},{6,7}}
[2,1,3,5,6,4,7]=>[2,3,1,5,6,7,4]=>{{1,2,3},{4,5,6,7}}=>{{1,2,3,4},{5,6,7}}
[2,1,3,5,6,7,4]=>[2,1,3,5,6,7,4]=>{{1,2},{3},{4,5,6,7}}=>{{1,2,3,4},{5},{6,7}}
[2,1,3,5,7,4,6]=>[2,5,1,3,4,7,6]=>{{1,2,5},{3},{4},{6,7}}=>{{1,2},{3,6,7},{4},{5}}
[2,1,3,5,7,6,4]=>[7,2,1,3,5,6,4]=>{{1,7},{2},{3},{4},{5},{6}}=>{{1,7},{2},{3},{4},{5},{6}}
[2,1,3,6,4,5,7]=>[2,3,4,1,6,7,5]=>{{1,2,3,4},{5,6,7}}=>{{1,2,3},{4,5,6,7}}
[2,1,3,6,4,7,5]=>[2,1,6,3,4,7,5]=>{{1,2},{3,6,7},{4},{5}}=>{{1,2,5},{3},{4},{6,7}}
[2,1,3,6,5,4,7]=>[2,6,3,1,5,7,4]=>{{1,2,6,7},{3},{4},{5}}=>{{1,2,6,7},{3},{4},{5}}
[2,1,3,6,5,7,4]=>[6,2,3,1,5,7,4]=>{{1,6,7},{2},{3},{4},{5}}=>{{1,2,7},{3},{4},{5},{6}}
[2,1,3,6,7,4,5]=>[2,6,1,3,4,7,5]=>{{1,2,6,7},{3},{4},{5}}=>{{1,2,6,7},{3},{4},{5}}
[2,1,3,6,7,5,4]=>[6,2,1,3,5,7,4]=>{{1,6,7},{2},{3},{4},{5}}=>{{1,2,7},{3},{4},{5},{6}}
[2,1,3,7,4,5,6]=>[2,3,4,1,5,7,6]=>{{1,2,3,4},{5},{6,7}}=>{{1,2},{3},{4,5,6,7}}
[2,1,3,7,4,6,5]=>[7,2,3,1,4,6,5]=>{{1,7},{2},{3},{4},{5},{6}}=>{{1,7},{2},{3},{4},{5},{6}}
[2,1,3,7,5,4,6]=>[2,7,3,1,5,6,4]=>{{1,2,7},{3},{4},{5},{6}}=>{{1,6,7},{2},{3},{4},{5}}
[2,1,3,7,5,6,4]=>[7,2,3,1,5,6,4]=>{{1,7},{2},{3},{4},{5},{6}}=>{{1,7},{2},{3},{4},{5},{6}}
[2,1,3,7,6,4,5]=>[2,7,3,1,4,6,5]=>{{1,2,7},{3},{4},{5},{6}}=>{{1,6,7},{2},{3},{4},{5}}
[2,1,3,7,6,5,4]=>[7,6,2,1,3,5,4]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[2,1,4,3,5,6,7]=>[2,4,5,6,1,7,3]=>{{1,2,4,6,7},{3,5}}=>{{1,2,4,6,7},{3,5}}
[2,1,4,3,5,7,6]=>[2,1,4,5,3,7,6]=>{{1,2},{3,4,5},{6,7}}=>{{1,2},{3,4,5},{6,7}}
[2,1,4,3,6,5,7]=>[2,4,1,6,3,7,5]=>{{1,2,4,6,7},{3},{5}}=>{{1,2,4,6,7},{3},{5}}
[2,1,4,3,6,7,5]=>[2,1,4,6,3,7,5]=>{{1,2},{3,4,6,7},{5}}=>{{1,2,4,5},{3},{6,7}}
[2,1,4,3,7,5,6]=>[2,4,1,5,3,7,6]=>{{1,2,4,5},{3},{6,7}}=>{{1,2},{3,4,6,7},{5}}
[2,1,4,3,7,6,5]=>[7,2,1,4,3,6,5]=>{{1,7},{2},{3},{4},{5},{6}}=>{{1,7},{2},{3},{4},{5},{6}}
[2,1,4,5,3,6,7]=>[2,4,5,1,6,7,3]=>{{1,2,4},{3,5,6,7}}=>{{1,2,3,5},{4,6,7}}
[2,1,4,5,3,7,6]=>[2,1,4,3,5,7,6]=>{{1,2},{3,4},{5},{6,7}}=>{{1,2},{3},{4,5},{6,7}}
[2,1,4,5,6,3,7]=>[2,4,1,5,6,7,3]=>{{1,2,4,5,6,7},{3}}=>{{1,2,3,4,6,7},{5}}
[2,1,4,5,6,7,3]=>[2,1,4,5,6,7,3]=>{{1,2},{3,4,5,6,7}}=>{{1,2,3,4,5},{6,7}}
[2,1,4,5,7,3,6]=>[2,4,1,3,5,7,6]=>{{1,2,4},{3},{5},{6,7}}=>{{1,2},{3},{4,6,7},{5}}
[2,1,4,5,7,6,3]=>[7,2,1,4,5,6,3]=>{{1,7},{2},{3},{4},{5},{6}}=>{{1,7},{2},{3},{4},{5},{6}}
[2,1,4,6,3,5,7]=>[2,4,6,1,3,7,5]=>{{1,2,4},{3,6,7},{5}}=>{{1,2,5},{3},{4,6,7}}
[2,1,4,6,3,7,5]=>[2,1,4,3,6,7,5]=>{{1,2},{3,4},{5,6,7}}=>{{1,2,3},{4,5},{6,7}}
[2,1,4,6,5,3,7]=>[2,6,4,1,5,7,3]=>{{1,2,6,7},{3,4},{5}}=>{{1,2,6,7},{3},{4,5}}
[2,1,4,6,5,7,3]=>[6,2,4,1,5,7,3]=>{{1,6,7},{2},{3,4},{5}}=>{{1,2,7},{3},{4,5},{6}}
[2,1,4,6,7,3,5]=>[2,4,1,3,6,7,5]=>{{1,2,4},{3},{5,6,7}}=>{{1,2,3},{4,6,7},{5}}
[2,1,4,6,7,5,3]=>[6,2,1,4,5,7,3]=>{{1,6,7},{2},{3},{4},{5}}=>{{1,2,7},{3},{4},{5},{6}}
[2,1,4,7,3,5,6]=>[2,4,5,1,3,7,6]=>{{1,2,4},{3,5},{6,7}}=>{{1,2},{3,5},{4,6,7}}
[2,1,4,7,3,6,5]=>[7,2,4,1,3,6,5]=>{{1,7},{2},{3,4},{5},{6}}=>{{1,7},{2},{3},{4,5},{6}}
[2,1,4,7,5,3,6]=>[2,7,4,1,5,6,3]=>{{1,2,7},{3,4},{5},{6}}=>{{1,6,7},{2},{3},{4,5}}
[2,1,4,7,5,6,3]=>[7,2,4,1,5,6,3]=>{{1,7},{2},{3,4},{5},{6}}=>{{1,7},{2},{3},{4,5},{6}}
[2,1,4,7,6,3,5]=>[2,7,4,1,3,6,5]=>{{1,2,7},{3,4},{5},{6}}=>{{1,6,7},{2},{3},{4,5}}
[2,1,4,7,6,5,3]=>[7,6,2,1,4,5,3]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[2,1,5,3,4,6,7]=>[2,3,5,6,1,7,4]=>{{1,2,3,5},{4,6,7}}=>{{1,2,4},{3,5,6,7}}
[2,1,5,3,4,7,6]=>[2,1,3,5,4,7,6]=>{{1,2},{3},{4,5},{6,7}}=>{{1,2},{3,4},{5},{6,7}}
[2,1,5,3,6,4,7]=>[2,5,1,6,3,7,4]=>{{1,2,5},{3},{4,6,7}}=>{{1,2,4},{3,6,7},{5}}
[2,1,5,3,6,7,4]=>[2,1,5,6,3,7,4]=>{{1,2},{3,5},{4,6,7}}=>{{1,2,4},{3,5},{6,7}}
[2,1,5,3,7,4,6]=>[2,3,1,5,4,7,6]=>{{1,2,3},{4,5},{6,7}}=>{{1,2},{3,4},{5,6,7}}
[2,1,5,3,7,6,4]=>[7,2,1,5,3,6,4]=>{{1,7},{2},{3},{4,5},{6}}=>{{1,7},{2},{3,4},{5},{6}}
[2,1,5,4,3,6,7]=>[2,5,6,4,1,7,3]=>{{1,2,5},{3,6,7},{4}}=>{{1,2,5},{3,6,7},{4}}
[2,1,5,4,3,7,6]=>[2,1,5,4,3,7,6]=>{{1,2},{3,5},{4},{6,7}}=>{{1,2},{3,5},{4},{6,7}}
[2,1,5,4,6,3,7]=>[2,5,4,6,1,7,3]=>{{1,2,5},{3,4,6,7}}=>{{1,2,4,5},{3,6,7}}
[2,1,5,4,6,7,3]=>[5,2,4,6,1,7,3]=>{{1,5},{2},{3,4,6,7}}=>{{1,2,4,5},{3,7},{6}}
[2,1,5,4,7,3,6]=>[2,5,1,4,3,7,6]=>{{1,2,5},{3},{4},{6,7}}=>{{1,2},{3,6,7},{4},{5}}
[2,1,5,4,7,6,3]=>[5,2,1,4,3,7,6]=>{{1,5},{2},{3},{4},{6,7}}=>{{1,2},{3,7},{4},{5},{6}}
[2,1,5,6,3,4,7]=>[2,5,6,1,3,7,4]=>{{1,2,5},{3,6,7},{4}}=>{{1,2,5},{3,6,7},{4}}
[2,1,5,6,3,7,4]=>[2,1,5,3,6,7,4]=>{{1,2},{3,5,6,7},{4}}=>{{1,2,3,5},{4},{6,7}}
[2,1,5,6,4,3,7]=>[2,5,4,1,6,7,3]=>{{1,2,5,6,7},{3,4}}=>{{1,2,3,6,7},{4,5}}
[2,1,5,6,4,7,3]=>[5,2,4,1,6,7,3]=>{{1,5,6,7},{2},{3,4}}=>{{1,2,3,7},{4,5},{6}}
[2,1,5,6,7,3,4]=>[2,5,1,3,6,7,4]=>{{1,2,5,6,7},{3},{4}}=>{{1,2,3,6,7},{4},{5}}
[2,1,5,6,7,4,3]=>[5,2,1,4,6,7,3]=>{{1,5,6,7},{2},{3},{4}}=>{{1,2,3,7},{4},{5},{6}}
[2,1,5,7,3,4,6]=>[2,3,5,1,4,7,6]=>{{1,2,3,5},{4},{6,7}}=>{{1,2},{3,5,6,7},{4}}
[2,1,5,7,3,6,4]=>[7,2,5,1,3,6,4]=>{{1,7},{2},{3,5},{4},{6}}=>{{1,7},{2},{3,5},{4},{6}}
[2,1,5,7,4,3,6]=>[2,5,4,1,3,7,6]=>{{1,2,5},{3,4},{6,7}}=>{{1,2},{3,6,7},{4,5}}
[2,1,5,7,4,6,3]=>[5,2,4,1,3,7,6]=>{{1,5},{2},{3,4},{6,7}}=>{{1,2},{3,7},{4,5},{6}}
[2,1,5,7,6,3,4]=>[2,7,5,1,3,6,4]=>{{1,2,7},{3,5},{4},{6}}=>{{1,6,7},{2},{3,5},{4}}
[2,1,5,7,6,4,3]=>[7,5,2,1,4,6,3]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,7},{2},{3,6},{4},{5}}
[2,1,6,3,4,5,7]=>[2,3,4,6,1,7,5]=>{{1,2,3,4,6,7},{5}}=>{{1,2,4,5,6,7},{3}}
[2,1,6,3,4,7,5]=>[2,1,3,6,4,7,5]=>{{1,2},{3},{4,6,7},{5}}=>{{1,2,4},{3},{5},{6,7}}
[2,1,6,3,5,4,7]=>[2,6,3,5,1,7,4]=>{{1,2,6,7},{3},{4,5}}=>{{1,2,6,7},{3,4},{5}}
[2,1,6,3,5,7,4]=>[6,2,3,5,1,7,4]=>{{1,6,7},{2},{3},{4,5}}=>{{1,2,7},{3,4},{5},{6}}
[2,1,6,3,7,4,5]=>[2,3,1,6,4,7,5]=>{{1,2,3},{4,6,7},{5}}=>{{1,2,4},{3},{5,6,7}}
[2,1,6,3,7,5,4]=>[6,2,1,5,3,7,4]=>{{1,6,7},{2},{3},{4,5}}=>{{1,2,7},{3,4},{5},{6}}
[2,1,6,4,3,5,7]=>[2,4,6,5,1,7,3]=>{{1,2,4,5},{3,6,7}}=>{{1,2,5},{3,4,6,7}}
[2,1,6,4,3,7,5]=>[2,1,6,4,3,7,5]=>{{1,2},{3,6,7},{4},{5}}=>{{1,2,5},{3},{4},{6,7}}
[2,1,6,4,5,3,7]=>[2,6,4,5,1,7,3]=>{{1,2,6,7},{3,4,5}}=>{{1,2,6,7},{3,4,5}}
[2,1,6,4,5,7,3]=>[6,2,4,5,1,7,3]=>{{1,6,7},{2},{3,4,5}}=>{{1,2,7},{3,4,5},{6}}
[2,1,6,4,7,3,5]=>[2,6,1,4,3,7,5]=>{{1,2,6,7},{3},{4},{5}}=>{{1,2,6,7},{3},{4},{5}}
[2,1,6,4,7,5,3]=>[6,2,1,4,3,7,5]=>{{1,6,7},{2},{3},{4},{5}}=>{{1,2,7},{3},{4},{5},{6}}
[2,1,6,5,3,4,7]=>[2,3,6,5,1,7,4]=>{{1,2,3,6,7},{4,5}}=>{{1,2,5,6,7},{3,4}}
[2,1,6,5,3,7,4]=>[2,1,6,5,3,7,4]=>{{1,2},{3,6,7},{4,5}}=>{{1,2,5},{3,4},{6,7}}
[2,1,6,5,4,3,7]=>[2,6,5,4,1,7,3]=>{{1,2,6,7},{3,5},{4}}=>{{1,2,6,7},{3,5},{4}}
[2,1,6,5,4,7,3]=>[6,2,5,4,1,7,3]=>{{1,6,7},{2},{3,5},{4}}=>{{1,2,7},{3,5},{4},{6}}
[2,1,6,5,7,3,4]=>[2,6,1,5,3,7,4]=>{{1,2,6,7},{3},{4,5}}=>{{1,2,6,7},{3,4},{5}}
[2,1,6,5,7,4,3]=>[6,5,2,4,1,7,3]=>{{1,6,7},{2,5},{3},{4}}=>{{1,2,7},{3,6},{4},{5}}
[2,1,6,7,3,4,5]=>[2,3,6,1,4,7,5]=>{{1,2,3,6,7},{4},{5}}=>{{1,2,5,6,7},{3},{4}}
[2,1,6,7,3,5,4]=>[6,2,5,1,3,7,4]=>{{1,6,7},{2},{3,5},{4}}=>{{1,2,7},{3,5},{4},{6}}
[2,1,6,7,4,3,5]=>[2,6,4,1,3,7,5]=>{{1,2,6,7},{3,4},{5}}=>{{1,2,6,7},{3},{4,5}}
[2,1,6,7,4,5,3]=>[6,2,4,1,3,7,5]=>{{1,6,7},{2},{3,4},{5}}=>{{1,2,7},{3},{4,5},{6}}
[2,1,6,7,5,3,4]=>[2,6,5,1,3,7,4]=>{{1,2,6,7},{3,5},{4}}=>{{1,2,6,7},{3,5},{4}}
[2,1,6,7,5,4,3]=>[6,5,2,1,4,7,3]=>{{1,6,7},{2,5},{3},{4}}=>{{1,2,7},{3,6},{4},{5}}
[2,1,7,3,4,5,6]=>[2,3,4,5,1,7,6]=>{{1,2,3,4,5},{6,7}}=>{{1,2},{3,4,5,6,7}}
[2,1,7,3,4,6,5]=>[7,2,3,4,1,6,5]=>{{1,7},{2},{3},{4},{5},{6}}=>{{1,7},{2},{3},{4},{5},{6}}
[2,1,7,3,5,4,6]=>[2,7,3,5,1,6,4]=>{{1,2,7},{3},{4,5},{6}}=>{{1,6,7},{2},{3,4},{5}}
[2,1,7,3,5,6,4]=>[7,2,3,5,1,6,4]=>{{1,7},{2},{3},{4,5},{6}}=>{{1,7},{2},{3,4},{5},{6}}
[2,1,7,3,6,4,5]=>[2,7,3,4,1,6,5]=>{{1,2,7},{3},{4},{5},{6}}=>{{1,6,7},{2},{3},{4},{5}}
[2,1,7,3,6,5,4]=>[7,6,2,3,1,5,4]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[2,1,7,4,3,5,6]=>[2,4,7,5,1,6,3]=>{{1,2,4,5},{3,7},{6}}=>{{1,5},{2},{3,4,6,7}}
[2,1,7,4,3,6,5]=>[2,1,7,4,3,6,5]=>{{1,2},{3,7},{4},{5},{6}}=>{{1,5},{2},{3},{4},{6,7}}
[2,1,7,4,5,3,6]=>[2,7,4,5,1,6,3]=>{{1,2,7},{3,4,5},{6}}=>{{1,6,7},{2},{3,4,5}}
[2,1,7,4,5,6,3]=>[7,2,4,5,1,6,3]=>{{1,7},{2},{3,4,5},{6}}=>{{1,7},{2},{3,4,5},{6}}
[2,1,7,4,6,3,5]=>[2,7,1,4,3,6,5]=>{{1,2,7},{3},{4},{5},{6}}=>{{1,6,7},{2},{3},{4},{5}}
[2,1,7,4,6,5,3]=>[7,6,2,4,1,5,3]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[2,1,7,5,3,4,6]=>[2,3,7,5,1,6,4]=>{{1,2,3,7},{4,5},{6}}=>{{1,5,6,7},{2},{3,4}}
[2,1,7,5,3,6,4]=>[2,1,7,5,3,6,4]=>{{1,2},{3,7},{4,5},{6}}=>{{1,5},{2},{3,4},{6,7}}
[2,1,7,5,4,3,6]=>[2,7,5,4,1,6,3]=>{{1,2,7},{3,5},{4},{6}}=>{{1,6,7},{2},{3,5},{4}}
[2,1,7,5,4,6,3]=>[7,2,5,4,1,6,3]=>{{1,7},{2},{3,5},{4},{6}}=>{{1,7},{2},{3,5},{4},{6}}
[2,1,7,5,6,3,4]=>[2,7,1,5,3,6,4]=>{{1,2,7},{3},{4,5},{6}}=>{{1,6,7},{2},{3,4},{5}}
[2,1,7,5,6,4,3]=>[7,5,2,4,1,6,3]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,7},{2},{3,6},{4},{5}}
[2,1,7,6,3,4,5]=>[2,3,7,4,1,6,5]=>{{1,2,3,7},{4},{5},{6}}=>{{1,5,6,7},{2},{3},{4}}
[2,1,7,6,3,5,4]=>[7,2,6,3,1,5,4]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,7},{2,5},{3},{4},{6}}
[2,1,7,6,4,3,5]=>[2,7,6,4,1,5,3]=>{{1,2,7},{3,6},{4},{5}}=>{{1,6,7},{2,5},{3},{4}}
[2,1,7,6,4,5,3]=>[7,2,6,4,1,5,3]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,7},{2,5},{3},{4},{6}}
[2,1,7,6,5,3,4]=>[2,7,6,3,1,5,4]=>{{1,2,7},{3,6},{4},{5}}=>{{1,6,7},{2,5},{3},{4}}
[2,1,7,6,5,4,3]=>[7,6,5,2,1,4,3]=>{{1,7},{2,6},{3,5},{4}}=>{{1,7},{2,6},{3,5},{4}}
[2,3,1,4,5,6,7]=>[2,3,4,5,6,1,7]=>{{1,2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6,7}}
[2,3,1,4,5,7,6]=>[2,1,3,4,7,5,6]=>{{1,2},{3},{4},{5,7},{6}}=>{{1,3},{2},{4},{5},{6,7}}
[2,3,1,4,6,5,7]=>[2,3,1,4,6,5,7]=>{{1,2,3},{4},{5,6},{7}}=>{{1},{2,3},{4},{5,6,7}}
[2,3,1,4,6,7,5]=>[2,1,3,4,6,5,7]=>{{1,2},{3},{4},{5,6},{7}}=>{{1},{2,3},{4},{5},{6,7}}
[2,3,1,4,7,5,6]=>[2,3,1,4,7,5,6]=>{{1,2,3},{4},{5,7},{6}}=>{{1,3},{2},{4},{5,6,7}}
[2,3,1,4,7,6,5]=>[7,2,1,3,6,4,5]=>{{1,7},{2},{3},{4},{5,6}}=>{{1,7},{2,3},{4},{5},{6}}
[2,3,1,5,4,6,7]=>[2,3,5,1,6,4,7]=>{{1,2,3,5,6},{4},{7}}=>{{1},{2,3,5,6,7},{4}}
[2,3,1,5,4,7,6]=>[2,1,5,3,7,4,6]=>{{1,2},{3,5,7},{4},{6}}=>{{1,3,5},{2},{4},{6,7}}
[2,3,1,5,6,4,7]=>[2,3,1,5,6,4,7]=>{{1,2,3},{4,5,6},{7}}=>{{1},{2,3,4},{5,6,7}}
[2,3,1,5,6,7,4]=>[2,1,3,5,6,4,7]=>{{1,2},{3},{4,5,6},{7}}=>{{1},{2,3,4},{5},{6,7}}
[2,3,1,5,7,4,6]=>[2,5,1,3,7,4,6]=>{{1,2,5,7},{3},{4},{6}}=>{{1,3,6,7},{2},{4},{5}}
[2,3,1,5,7,6,4]=>[7,2,1,3,5,4,6]=>{{1,7},{2},{3},{4},{5},{6}}=>{{1,7},{2},{3},{4},{5},{6}}
[2,3,1,6,4,5,7]=>[2,3,4,1,6,5,7]=>{{1,2,3,4},{5,6},{7}}=>{{1},{2,3},{4,5,6,7}}
[2,3,1,6,4,7,5]=>[2,1,6,3,7,4,5]=>{{1,2},{3,6},{4},{5,7}}=>{{1,3},{2,5},{4},{6,7}}
[2,3,1,6,5,4,7]=>[2,6,3,1,5,4,7]=>{{1,2,6},{3},{4},{5},{7}}=>{{1},{2,6,7},{3},{4},{5}}
[2,3,1,6,5,7,4]=>[6,2,3,1,5,4,7]=>{{1,6},{2},{3},{4},{5},{7}}=>{{1},{2,7},{3},{4},{5},{6}}
[2,3,1,6,7,4,5]=>[2,6,1,3,7,4,5]=>{{1,2,6},{3},{4},{5,7}}=>{{1,3},{2,6,7},{4},{5}}
[2,3,1,6,7,5,4]=>[6,2,1,3,5,4,7]=>{{1,6},{2},{3},{4},{5},{7}}=>{{1},{2,7},{3},{4},{5},{6}}
[2,3,1,7,4,5,6]=>[2,3,4,1,7,5,6]=>{{1,2,3,4},{5,7},{6}}=>{{1,3},{2},{4,5,6,7}}
[2,3,1,7,4,6,5]=>[7,2,3,1,6,4,5]=>{{1,7},{2},{3},{4},{5,6}}=>{{1,7},{2,3},{4},{5},{6}}
[2,3,1,7,5,4,6]=>[2,7,3,1,5,4,6]=>{{1,2,7},{3},{4},{5},{6}}=>{{1,6,7},{2},{3},{4},{5}}
[2,3,1,7,5,6,4]=>[7,2,3,1,5,4,6]=>{{1,7},{2},{3},{4},{5},{6}}=>{{1,7},{2},{3},{4},{5},{6}}
[2,3,1,7,6,4,5]=>[2,7,3,1,6,4,5]=>{{1,2,7},{3},{4},{5,6}}=>{{1,6,7},{2,3},{4},{5}}
[2,3,1,7,6,5,4]=>[7,6,2,1,5,3,4]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[2,3,4,1,5,6,7]=>[2,3,4,5,1,6,7]=>{{1,2,3,4,5},{6},{7}}=>{{1},{2},{3,4,5,6,7}}
[2,3,4,1,5,7,6]=>[2,1,3,7,4,5,6]=>{{1,2},{3},{4,7},{5},{6}}=>{{1,4},{2},{3},{5},{6,7}}
[2,3,4,1,6,5,7]=>[2,3,1,6,4,5,7]=>{{1,2,3},{4,6},{5},{7}}=>{{1},{2,4},{3},{5,6,7}}
[2,3,4,1,6,7,5]=>[2,1,3,6,4,5,7]=>{{1,2},{3},{4,6},{5},{7}}=>{{1},{2,4},{3},{5},{6,7}}
[2,3,4,1,7,5,6]=>[2,3,1,7,4,5,6]=>{{1,2,3},{4,7},{5},{6}}=>{{1,4},{2},{3},{5,6,7}}
[2,3,4,1,7,6,5]=>[7,2,1,6,3,4,5]=>{{1,7},{2},{3},{4,6},{5}}=>{{1,7},{2,4},{3},{5},{6}}
[2,3,4,5,1,6,7]=>[2,3,4,1,5,6,7]=>{{1,2,3,4},{5},{6},{7}}=>{{1},{2},{3},{4,5,6,7}}
[2,3,4,5,1,7,6]=>[2,1,7,3,4,5,6]=>{{1,2},{3,7},{4},{5},{6}}=>{{1,5},{2},{3},{4},{6,7}}
[2,3,4,5,6,1,7]=>[2,3,1,4,5,6,7]=>{{1,2,3},{4},{5},{6},{7}}=>{{1},{2},{3},{4},{5,6,7}}
[2,3,4,5,6,7,1]=>[2,1,3,4,5,6,7]=>{{1,2},{3},{4},{5},{6},{7}}=>{{1},{2},{3},{4},{5},{6,7}}
[2,3,4,5,7,1,6]=>[2,7,1,3,4,5,6]=>{{1,2,7},{3},{4},{5},{6}}=>{{1,6,7},{2},{3},{4},{5}}
[2,3,4,5,7,6,1]=>[7,2,1,3,4,5,6]=>{{1,7},{2},{3},{4},{5},{6}}=>{{1,7},{2},{3},{4},{5},{6}}
[2,3,4,6,1,5,7]=>[2,3,6,1,4,5,7]=>{{1,2,3,6},{4},{5},{7}}=>{{1},{2,5,6,7},{3},{4}}
[2,3,4,6,1,7,5]=>[2,1,6,3,4,5,7]=>{{1,2},{3,6},{4},{5},{7}}=>{{1},{2,5},{3},{4},{6,7}}
[2,3,4,6,5,1,7]=>[2,6,3,1,4,5,7]=>{{1,2,6},{3},{4},{5},{7}}=>{{1},{2,6,7},{3},{4},{5}}
[2,3,4,6,5,7,1]=>[6,2,3,1,4,5,7]=>{{1,6},{2},{3},{4},{5},{7}}=>{{1},{2,7},{3},{4},{5},{6}}
[2,3,4,6,7,1,5]=>[2,6,1,3,4,5,7]=>{{1,2,6},{3},{4},{5},{7}}=>{{1},{2,6,7},{3},{4},{5}}
[2,3,4,6,7,5,1]=>[6,2,1,3,4,5,7]=>{{1,6},{2},{3},{4},{5},{7}}=>{{1},{2,7},{3},{4},{5},{6}}
[2,3,4,7,1,5,6]=>[2,3,7,1,4,5,6]=>{{1,2,3,7},{4},{5},{6}}=>{{1,5,6,7},{2},{3},{4}}
[2,3,4,7,1,6,5]=>[7,2,6,1,3,4,5]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,7},{2,5},{3},{4},{6}}
[2,3,4,7,5,1,6]=>[2,7,3,1,4,5,6]=>{{1,2,7},{3},{4},{5},{6}}=>{{1,6,7},{2},{3},{4},{5}}
[2,3,4,7,5,6,1]=>[7,2,3,1,4,5,6]=>{{1,7},{2},{3},{4},{5},{6}}=>{{1,7},{2},{3},{4},{5},{6}}
[2,3,4,7,6,1,5]=>[2,7,6,1,3,4,5]=>{{1,2,7},{3,6},{4},{5}}=>{{1,6,7},{2,5},{3},{4}}
[2,3,4,7,6,5,1]=>[7,6,2,1,3,4,5]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[2,3,5,1,4,6,7]=>[2,3,5,6,1,4,7]=>{{1,2,3,5},{4,6},{7}}=>{{1},{2,4},{3,5,6,7}}
[2,3,5,1,4,7,6]=>[2,1,5,7,3,4,6]=>{{1,2},{3,5},{4,7},{6}}=>{{1,4},{2},{3,5},{6,7}}
[2,3,5,1,6,4,7]=>[2,3,1,5,4,6,7]=>{{1,2,3},{4,5},{6},{7}}=>{{1},{2},{3,4},{5,6,7}}
[2,3,5,1,6,7,4]=>[2,1,3,5,4,6,7]=>{{1,2},{3},{4,5},{6},{7}}=>{{1},{2},{3,4},{5},{6,7}}
[2,3,5,1,7,4,6]=>[2,5,1,7,3,4,6]=>{{1,2,5},{3},{4,7},{6}}=>{{1,4},{2},{3,6,7},{5}}
[2,3,5,1,7,6,4]=>[7,2,1,5,3,4,6]=>{{1,7},{2},{3},{4,5},{6}}=>{{1,7},{2},{3,4},{5},{6}}
[2,3,5,4,1,6,7]=>[2,3,5,4,1,6,7]=>{{1,2,3,5},{4},{6},{7}}=>{{1},{2},{3,5,6,7},{4}}
[2,3,5,4,1,7,6]=>[5,2,7,3,1,4,6]=>{{1,5},{2},{3,7},{4},{6}}=>{{1,5},{2},{3,7},{4},{6}}
[2,3,5,4,6,1,7]=>[2,5,3,4,1,6,7]=>{{1,2,5},{3},{4},{6},{7}}=>{{1},{2},{3,6,7},{4},{5}}
[2,3,5,4,6,7,1]=>[5,2,3,4,1,6,7]=>{{1,5},{2},{3},{4},{6},{7}}=>{{1},{2},{3,7},{4},{5},{6}}
[2,3,5,4,7,1,6]=>[5,7,2,3,1,4,6]=>{{1,5},{2,7},{3},{4},{6}}=>{{1,6},{2},{3,7},{4},{5}}
[2,3,5,4,7,6,1]=>[5,2,1,7,3,4,6]=>{{1,5},{2},{3},{4,7},{6}}=>{{1,4},{2},{3,7},{5},{6}}
[2,3,5,6,1,4,7]=>[2,3,5,1,4,6,7]=>{{1,2,3,5},{4},{6},{7}}=>{{1},{2},{3,5,6,7},{4}}
[2,3,5,6,1,7,4]=>[2,1,5,3,4,6,7]=>{{1,2},{3,5},{4},{6},{7}}=>{{1},{2},{3,5},{4},{6,7}}
[2,3,5,6,4,1,7]=>[2,5,3,1,4,6,7]=>{{1,2,5},{3},{4},{6},{7}}=>{{1},{2},{3,6,7},{4},{5}}
[2,3,5,6,4,7,1]=>[5,2,3,1,4,6,7]=>{{1,5},{2},{3},{4},{6},{7}}=>{{1},{2},{3,7},{4},{5},{6}}
[2,3,5,6,7,1,4]=>[2,5,1,3,4,6,7]=>{{1,2,5},{3},{4},{6},{7}}=>{{1},{2},{3,6,7},{4},{5}}
[2,3,5,6,7,4,1]=>[5,2,1,3,4,6,7]=>{{1,5},{2},{3},{4},{6},{7}}=>{{1},{2},{3,7},{4},{5},{6}}
[2,3,5,7,1,4,6]=>[2,5,7,1,3,4,6]=>{{1,2,5},{3,7},{4},{6}}=>{{1,5},{2},{3,6,7},{4}}
[2,3,5,7,1,6,4]=>[7,2,5,1,3,4,6]=>{{1,7},{2},{3,5},{4},{6}}=>{{1,7},{2},{3,5},{4},{6}}
[2,3,5,7,4,1,6]=>[5,7,2,1,3,4,6]=>{{1,5},{2,7},{3},{4},{6}}=>{{1,6},{2},{3,7},{4},{5}}
[2,3,5,7,4,6,1]=>[5,2,7,1,3,4,6]=>{{1,5},{2},{3,7},{4},{6}}=>{{1,5},{2},{3,7},{4},{6}}
[2,3,5,7,6,1,4]=>[2,7,5,1,3,4,6]=>{{1,2,7},{3,5},{4},{6}}=>{{1,6,7},{2},{3,5},{4}}
[2,3,5,7,6,4,1]=>[7,5,2,1,3,4,6]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,7},{2},{3,6},{4},{5}}
[2,3,6,1,4,5,7]=>[2,3,4,6,1,5,7]=>{{1,2,3,4,6},{5},{7}}=>{{1},{2,4,5,6,7},{3}}
[2,3,6,1,4,7,5]=>[2,1,6,7,3,4,5]=>{{1,2},{3,6},{4,7},{5}}=>{{1,4},{2,5},{3},{6,7}}
[2,3,6,1,5,4,7]=>[2,6,3,5,1,4,7]=>{{1,2,6},{3},{4,5},{7}}=>{{1},{2,6,7},{3,4},{5}}
[2,3,6,1,5,7,4]=>[6,2,3,5,1,4,7]=>{{1,6},{2},{3},{4,5},{7}}=>{{1},{2,7},{3,4},{5},{6}}
[2,3,6,1,7,4,5]=>[2,6,1,7,3,4,5]=>{{1,2,6},{3},{4,7},{5}}=>{{1,4},{2,6,7},{3},{5}}
[2,3,6,1,7,5,4]=>[6,2,1,5,3,4,7]=>{{1,6},{2},{3},{4,5},{7}}=>{{1},{2,7},{3,4},{5},{6}}
[2,3,6,4,1,5,7]=>[2,3,6,4,1,5,7]=>{{1,2,3,6},{4},{5},{7}}=>{{1},{2,5,6,7},{3},{4}}
[2,3,6,4,1,7,5]=>[6,2,7,3,1,4,5]=>{{1,6},{2},{3,7},{4},{5}}=>{{1,5},{2,7},{3},{4},{6}}
[2,3,6,4,5,1,7]=>[2,6,3,4,1,5,7]=>{{1,2,6},{3},{4},{5},{7}}=>{{1},{2,6,7},{3},{4},{5}}
[2,3,6,4,5,7,1]=>[6,2,3,4,1,5,7]=>{{1,6},{2},{3},{4},{5},{7}}=>{{1},{2,7},{3},{4},{5},{6}}
[2,3,6,4,7,1,5]=>[6,7,2,3,1,4,5]=>{{1,6},{2,7},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}
[2,3,6,4,7,5,1]=>[6,2,1,7,3,4,5]=>{{1,6},{2},{3},{4,7},{5}}=>{{1,4},{2,7},{3},{5},{6}}
[2,3,6,5,1,4,7]=>[2,3,6,5,1,4,7]=>{{1,2,3,6},{4,5},{7}}=>{{1},{2,5,6,7},{3,4}}
[2,3,6,5,1,7,4]=>[2,1,6,5,3,4,7]=>{{1,2},{3,6},{4,5},{7}}=>{{1},{2,5},{3,4},{6,7}}
[2,3,6,5,4,1,7]=>[2,6,5,3,1,4,7]=>{{1,2,6},{3,5},{4},{7}}=>{{1},{2,6,7},{3,5},{4}}
[2,3,6,5,4,7,1]=>[6,2,5,3,1,4,7]=>{{1,6},{2},{3,5},{4},{7}}=>{{1},{2,7},{3,5},{4},{6}}
[2,3,6,5,7,1,4]=>[2,6,1,5,3,4,7]=>{{1,2,6},{3},{4,5},{7}}=>{{1},{2,6,7},{3,4},{5}}
[2,3,6,5,7,4,1]=>[6,5,2,3,1,4,7]=>{{1,6},{2,5},{3},{4},{7}}=>{{1},{2,7},{3,6},{4},{5}}
[2,3,6,7,1,4,5]=>[2,6,7,1,3,4,5]=>{{1,2,6},{3,7},{4},{5}}=>{{1,5},{2,6,7},{3},{4}}
[2,3,6,7,1,5,4]=>[6,2,5,1,3,4,7]=>{{1,6},{2},{3,5},{4},{7}}=>{{1},{2,7},{3,5},{4},{6}}
[2,3,6,7,4,1,5]=>[6,7,2,1,3,4,5]=>{{1,6},{2,7},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}
[2,3,6,7,4,5,1]=>[6,2,7,1,3,4,5]=>{{1,6},{2},{3,7},{4},{5}}=>{{1,5},{2,7},{3},{4},{6}}
[2,3,6,7,5,1,4]=>[2,6,5,1,3,4,7]=>{{1,2,6},{3,5},{4},{7}}=>{{1},{2,6,7},{3,5},{4}}
[2,3,6,7,5,4,1]=>[6,5,2,1,3,4,7]=>{{1,6},{2,5},{3},{4},{7}}=>{{1},{2,7},{3,6},{4},{5}}
[2,3,7,1,4,5,6]=>[2,3,4,7,1,5,6]=>{{1,2,3,4,7},{5},{6}}=>{{1,4,5,6,7},{2},{3}}
[2,3,7,1,4,6,5]=>[7,2,3,6,1,4,5]=>{{1,7},{2},{3},{4,6},{5}}=>{{1,7},{2,4},{3},{5},{6}}
[2,3,7,1,5,4,6]=>[2,7,3,5,1,4,6]=>{{1,2,7},{3},{4,5},{6}}=>{{1,6,7},{2},{3,4},{5}}
[2,3,7,1,5,6,4]=>[7,2,3,5,1,4,6]=>{{1,7},{2},{3},{4,5},{6}}=>{{1,7},{2},{3,4},{5},{6}}
[2,3,7,1,6,4,5]=>[2,7,3,6,1,4,5]=>{{1,2,7},{3},{4,6},{5}}=>{{1,6,7},{2,4},{3},{5}}
[2,3,7,1,6,5,4]=>[7,6,2,5,1,3,4]=>{{1,7},{2,6},{3},{4,5}}=>{{1,7},{2,6},{3,4},{5}}
[2,3,7,4,1,5,6]=>[2,3,7,4,1,5,6]=>{{1,2,3,7},{4},{5},{6}}=>{{1,5,6,7},{2},{3},{4}}
[2,3,7,4,1,6,5]=>[2,1,7,6,3,4,5]=>{{1,2},{3,7},{4,6},{5}}=>{{1,5},{2,4},{3},{6,7}}
[2,3,7,4,5,1,6]=>[2,7,3,4,1,5,6]=>{{1,2,7},{3},{4},{5},{6}}=>{{1,6,7},{2},{3},{4},{5}}
[2,3,7,4,5,6,1]=>[7,2,3,4,1,5,6]=>{{1,7},{2},{3},{4},{5},{6}}=>{{1,7},{2},{3},{4},{5},{6}}
[2,3,7,4,6,1,5]=>[2,7,1,6,3,4,5]=>{{1,2,7},{3},{4,6},{5}}=>{{1,6,7},{2,4},{3},{5}}
[2,3,7,4,6,5,1]=>[7,6,2,3,1,4,5]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[2,3,7,5,1,4,6]=>[2,3,7,5,1,4,6]=>{{1,2,3,7},{4,5},{6}}=>{{1,5,6,7},{2},{3,4}}
[2,3,7,5,1,6,4]=>[2,1,7,5,3,4,6]=>{{1,2},{3,7},{4,5},{6}}=>{{1,5},{2},{3,4},{6,7}}
[2,3,7,5,4,1,6]=>[2,7,5,3,1,4,6]=>{{1,2,7},{3,5},{4},{6}}=>{{1,6,7},{2},{3,5},{4}}
[2,3,7,5,4,6,1]=>[7,2,5,3,1,4,6]=>{{1,7},{2},{3,5},{4},{6}}=>{{1,7},{2},{3,5},{4},{6}}
[2,3,7,5,6,1,4]=>[2,7,1,5,3,4,6]=>{{1,2,7},{3},{4,5},{6}}=>{{1,6,7},{2},{3,4},{5}}
[2,3,7,5,6,4,1]=>[7,5,2,3,1,4,6]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,7},{2},{3,6},{4},{5}}
[2,3,7,6,1,4,5]=>[2,3,7,6,1,4,5]=>{{1,2,3,7},{4,6},{5}}=>{{1,5,6,7},{2,4},{3}}
[2,3,7,6,1,5,4]=>[7,2,6,5,1,3,4]=>{{1,7},{2},{3,6},{4,5}}=>{{1,7},{2,5},{3,4},{6}}
[2,3,7,6,4,1,5]=>[2,7,6,3,1,4,5]=>{{1,2,7},{3,6},{4},{5}}=>{{1,6,7},{2,5},{3},{4}}
[2,3,7,6,4,5,1]=>[7,2,6,3,1,4,5]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,7},{2,5},{3},{4},{6}}
[2,3,7,6,5,1,4]=>[2,7,6,5,1,3,4]=>{{1,2,7},{3,6},{4,5}}=>{{1,6,7},{2,5},{3,4}}
[2,3,7,6,5,4,1]=>[7,6,5,2,1,3,4]=>{{1,7},{2,6},{3,5},{4}}=>{{1,7},{2,6},{3,5},{4}}
[2,4,1,3,5,6,7]=>[2,4,5,6,7,1,3]=>{{1,2,4,6},{3,5,7}}=>{{1,3,5},{2,4,6,7}}
[2,4,1,3,5,7,6]=>[2,1,4,5,7,3,6]=>{{1,2},{3,4,5,7},{6}}=>{{1,3,4,5},{2},{6,7}}
[2,4,1,3,6,5,7]=>[2,4,1,6,7,3,5]=>{{1,2,4,6},{3},{5,7}}=>{{1,3},{2,4,6,7},{5}}
[2,4,1,3,6,7,5]=>[2,1,4,6,7,3,5]=>{{1,2},{3,4,6},{5,7}}=>{{1,3},{2,4,5},{6,7}}
[2,4,1,3,7,5,6]=>[2,4,1,5,7,3,6]=>{{1,2,4,5,7},{3},{6}}=>{{1,3,4,6,7},{2},{5}}
[2,4,1,3,7,6,5]=>[7,2,1,4,6,3,5]=>{{1,7},{2},{3},{4},{5,6}}=>{{1,7},{2,3},{4},{5},{6}}
[2,4,1,5,3,6,7]=>[2,4,5,1,6,3,7]=>{{1,2,4},{3,5,6},{7}}=>{{1},{2,3,5},{4,6,7}}
[2,4,1,5,3,7,6]=>[2,1,4,3,7,5,6]=>{{1,2},{3,4},{5,7},{6}}=>{{1,3},{2},{4,5},{6,7}}
[2,4,1,5,6,3,7]=>[2,4,1,5,6,3,7]=>{{1,2,4,5,6},{3},{7}}=>{{1},{2,3,4,6,7},{5}}
[2,4,1,5,6,7,3]=>[2,1,4,5,6,3,7]=>{{1,2},{3,4,5,6},{7}}=>{{1},{2,3,4,5},{6,7}}
[2,4,1,5,7,3,6]=>[2,4,1,3,7,5,6]=>{{1,2,4},{3},{5,7},{6}}=>{{1,3},{2},{4,6,7},{5}}
[2,4,1,5,7,6,3]=>[7,2,1,4,5,3,6]=>{{1,7},{2},{3},{4},{5},{6}}=>{{1,7},{2},{3},{4},{5},{6}}
[2,4,1,6,3,5,7]=>[2,4,6,1,7,3,5]=>{{1,2,4},{3,6},{5,7}}=>{{1,3},{2,5},{4,6,7}}
[2,4,1,6,3,7,5]=>[2,1,4,3,6,5,7]=>{{1,2},{3,4},{5,6},{7}}=>{{1},{2,3},{4,5},{6,7}}
[2,4,1,6,5,3,7]=>[2,6,4,1,5,3,7]=>{{1,2,6},{3,4},{5},{7}}=>{{1},{2,6,7},{3},{4,5}}
[2,4,1,6,5,7,3]=>[6,2,4,1,5,3,7]=>{{1,6},{2},{3,4},{5},{7}}=>{{1},{2,7},{3},{4,5},{6}}
[2,4,1,6,7,3,5]=>[2,4,1,3,6,5,7]=>{{1,2,4},{3},{5,6},{7}}=>{{1},{2,3},{4,6,7},{5}}
[2,4,1,6,7,5,3]=>[6,2,1,4,5,3,7]=>{{1,6},{2},{3},{4},{5},{7}}=>{{1},{2,7},{3},{4},{5},{6}}
[2,4,1,7,3,5,6]=>[2,4,5,1,7,3,6]=>{{1,2,4},{3,5,7},{6}}=>{{1,3,5},{2},{4,6,7}}
[2,4,1,7,3,6,5]=>[7,2,4,1,6,3,5]=>{{1,7},{2},{3,4},{5,6}}=>{{1,7},{2,3},{4,5},{6}}
[2,4,1,7,5,3,6]=>[2,7,4,1,5,3,6]=>{{1,2,7},{3,4},{5},{6}}=>{{1,6,7},{2},{3},{4,5}}
[2,4,1,7,5,6,3]=>[7,2,4,1,5,3,6]=>{{1,7},{2},{3,4},{5},{6}}=>{{1,7},{2},{3},{4,5},{6}}
[2,4,1,7,6,3,5]=>[2,7,4,1,6,3,5]=>{{1,2,7},{3,4},{5,6}}=>{{1,6,7},{2,3},{4,5}}
[2,4,1,7,6,5,3]=>[7,6,2,1,4,3,5]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[2,4,3,1,5,6,7]=>[2,4,5,6,3,1,7]=>{{1,2,4,6},{3,5},{7}}=>{{1},{2,4,6,7},{3,5}}
[2,4,3,1,5,7,6]=>[4,2,3,7,5,1,6]=>{{1,4,7},{2},{3},{5},{6}}=>{{1,4,7},{2},{3},{5},{6}}
[2,4,3,1,6,5,7]=>[2,4,3,6,5,1,7]=>{{1,2,4,6},{3},{5},{7}}=>{{1},{2,4,6,7},{3},{5}}
[2,4,3,1,6,7,5]=>[4,2,3,6,5,1,7]=>{{1,4,6},{2},{3},{5},{7}}=>{{1},{2,4,7},{3},{5},{6}}
[2,4,3,1,7,5,6]=>[2,4,3,7,5,1,6]=>{{1,2,4,7},{3},{5},{6}}=>{{1,4,6,7},{2},{3},{5}}
[2,4,3,1,7,6,5]=>[4,2,1,7,6,3,5]=>{{1,4,7},{2},{3},{5,6}}=>{{1,4,7},{2,3},{5},{6}}
[2,4,3,5,1,6,7]=>[2,4,5,3,6,1,7]=>{{1,2,4},{3,5,6},{7}}=>{{1},{2,3,5},{4,6,7}}
[2,4,3,5,1,7,6]=>[4,2,7,3,5,1,6]=>{{1,4},{2},{3,7},{5},{6}}=>{{1,5},{2},{3},{4,7},{6}}
[2,4,3,5,6,1,7]=>[2,4,3,5,6,1,7]=>{{1,2,4,5,6},{3},{7}}=>{{1},{2,3,4,6,7},{5}}
[2,4,3,5,6,7,1]=>[4,2,3,5,6,1,7]=>{{1,4,5,6},{2},{3},{7}}=>{{1},{2,3,4,7},{5},{6}}
[2,4,3,5,7,1,6]=>[4,7,2,3,5,1,6]=>{{1,4},{2,7},{3},{5},{6}}=>{{1,6},{2},{3},{4,7},{5}}
[2,4,3,5,7,6,1]=>[4,2,1,3,7,5,6]=>{{1,4},{2},{3},{5,7},{6}}=>{{1,3},{2},{4,7},{5},{6}}
[2,4,3,6,1,5,7]=>[2,4,6,3,5,1,7]=>{{1,2,4},{3,6},{5},{7}}=>{{1},{2,5},{3},{4,6,7}}
[2,4,3,6,1,7,5]=>[4,2,6,3,5,1,7]=>{{1,4},{2},{3,6},{5},{7}}=>{{1},{2,5},{3},{4,7},{6}}
[2,4,3,6,5,1,7]=>[2,4,3,1,6,5,7]=>{{1,2,4},{3},{5,6},{7}}=>{{1},{2,3},{4,6,7},{5}}
[2,4,3,6,5,7,1]=>[4,2,3,1,6,5,7]=>{{1,4},{2},{3},{5,6},{7}}=>{{1},{2,3},{4,7},{5},{6}}
[2,4,3,6,7,1,5]=>[4,6,2,3,5,1,7]=>{{1,4},{2,6},{3},{5},{7}}=>{{1},{2,6},{3},{4,7},{5}}
[2,4,3,6,7,5,1]=>[4,2,1,3,6,5,7]=>{{1,4},{2},{3},{5,6},{7}}=>{{1},{2,3},{4,7},{5},{6}}
[2,4,3,7,1,5,6]=>[2,4,7,3,5,1,6]=>{{1,2,4},{3,7},{5},{6}}=>{{1,5},{2},{3},{4,6,7}}
[2,4,3,7,1,6,5]=>[4,2,7,1,6,3,5]=>{{1,4},{2},{3,7},{5,6}}=>{{1,5},{2,3},{4,7},{6}}
[2,4,3,7,5,1,6]=>[2,4,3,1,7,5,6]=>{{1,2,4},{3},{5,7},{6}}=>{{1,3},{2},{4,6,7},{5}}
[2,4,3,7,5,6,1]=>[4,2,3,1,7,5,6]=>{{1,4},{2},{3},{5,7},{6}}=>{{1,3},{2},{4,7},{5},{6}}
[2,4,3,7,6,1,5]=>[4,7,2,1,6,3,5]=>{{1,4},{2,7},{3},{5,6}}=>{{1,6},{2,3},{4,7},{5}}
[2,4,3,7,6,5,1]=>[7,4,2,1,6,3,5]=>{{1,7},{2,4},{3},{5,6}}=>{{1,7},{2,3},{4,6},{5}}
[2,4,5,1,3,6,7]=>[2,4,5,6,1,3,7]=>{{1,2,4,6},{3,5},{7}}=>{{1},{2,4,6,7},{3,5}}
[2,4,5,1,3,7,6]=>[2,1,4,7,3,5,6]=>{{1,2},{3,4,7},{5},{6}}=>{{1,4,5},{2},{3},{6,7}}
[2,4,5,1,6,3,7]=>[2,4,1,5,3,6,7]=>{{1,2,4,5},{3},{6},{7}}=>{{1},{2},{3,4,6,7},{5}}
[2,4,5,1,6,7,3]=>[2,1,4,5,3,6,7]=>{{1,2},{3,4,5},{6},{7}}=>{{1},{2},{3,4,5},{6,7}}
[2,4,5,1,7,3,6]=>[2,4,1,7,3,5,6]=>{{1,2,4,7},{3},{5},{6}}=>{{1,4,6,7},{2},{3},{5}}
[2,4,5,1,7,6,3]=>[7,2,1,4,3,5,6]=>{{1,7},{2},{3},{4},{5},{6}}=>{{1,7},{2},{3},{4},{5},{6}}
[2,4,5,3,1,6,7]=>[2,4,5,3,1,6,7]=>{{1,2,4},{3,5},{6},{7}}=>{{1},{2},{3,5},{4,6,7}}
[2,4,5,3,1,7,6]=>[4,2,7,3,1,5,6]=>{{1,4},{2},{3,7},{5},{6}}=>{{1,5},{2},{3},{4,7},{6}}
[2,4,5,3,6,1,7]=>[2,4,3,5,1,6,7]=>{{1,2,4,5},{3},{6},{7}}=>{{1},{2},{3,4,6,7},{5}}
[2,4,5,3,6,7,1]=>[4,2,3,5,1,6,7]=>{{1,4,5},{2},{3},{6},{7}}=>{{1},{2},{3,4,7},{5},{6}}
[2,4,5,3,7,1,6]=>[4,7,2,3,1,5,6]=>{{1,4},{2,7},{3},{5},{6}}=>{{1,6},{2},{3},{4,7},{5}}
[2,4,5,3,7,6,1]=>[4,2,1,7,3,5,6]=>{{1,4,7},{2},{3},{5},{6}}=>{{1,4,7},{2},{3},{5},{6}}
[2,4,5,6,1,3,7]=>[2,4,5,1,3,6,7]=>{{1,2,4},{3,5},{6},{7}}=>{{1},{2},{3,5},{4,6,7}}
[2,4,5,6,1,7,3]=>[2,1,4,3,5,6,7]=>{{1,2},{3,4},{5},{6},{7}}=>{{1},{2},{3},{4,5},{6,7}}
[2,4,5,6,3,1,7]=>[2,4,3,1,5,6,7]=>{{1,2,4},{3},{5},{6},{7}}=>{{1},{2},{3},{4,6,7},{5}}
[2,4,5,6,3,7,1]=>[4,2,3,1,5,6,7]=>{{1,4},{2},{3},{5},{6},{7}}=>{{1},{2},{3},{4,7},{5},{6}}
[2,4,5,6,7,1,3]=>[2,4,1,3,5,6,7]=>{{1,2,4},{3},{5},{6},{7}}=>{{1},{2},{3},{4,6,7},{5}}
[2,4,5,6,7,3,1]=>[4,2,1,3,5,6,7]=>{{1,4},{2},{3},{5},{6},{7}}=>{{1},{2},{3},{4,7},{5},{6}}
[2,4,5,7,1,3,6]=>[2,4,7,1,3,5,6]=>{{1,2,4},{3,7},{5},{6}}=>{{1,5},{2},{3},{4,6,7}}
[2,4,5,7,1,6,3]=>[7,2,4,1,3,5,6]=>{{1,7},{2},{3,4},{5},{6}}=>{{1,7},{2},{3},{4,5},{6}}
[2,4,5,7,3,1,6]=>[4,7,2,1,3,5,6]=>{{1,4},{2,7},{3},{5},{6}}=>{{1,6},{2},{3},{4,7},{5}}
[2,4,5,7,3,6,1]=>[4,2,7,1,3,5,6]=>{{1,4},{2},{3,7},{5},{6}}=>{{1,5},{2},{3},{4,7},{6}}
[2,4,5,7,6,1,3]=>[2,7,4,1,3,5,6]=>{{1,2,7},{3,4},{5},{6}}=>{{1,6,7},{2},{3},{4,5}}
[2,4,5,7,6,3,1]=>[7,4,2,1,3,5,6]=>{{1,7},{2,4},{3},{5},{6}}=>{{1,7},{2},{3},{4,6},{5}}
[2,4,6,1,3,5,7]=>[2,4,6,7,1,3,5]=>{{1,2,4,7},{3,6},{5}}=>{{1,4,6,7},{2,5},{3}}
[2,4,6,1,3,7,5]=>[2,1,4,6,3,5,7]=>{{1,2},{3,4,6},{5},{7}}=>{{1},{2,4,5},{3},{6,7}}
[2,4,6,1,5,3,7]=>[2,6,4,5,1,3,7]=>{{1,2,6},{3,4,5},{7}}=>{{1},{2,6,7},{3,4,5}}
[2,4,6,1,5,7,3]=>[6,2,4,5,1,3,7]=>{{1,6},{2},{3,4,5},{7}}=>{{1},{2,7},{3,4,5},{6}}
[2,4,6,1,7,3,5]=>[2,4,1,6,3,5,7]=>{{1,2,4,6},{3},{5},{7}}=>{{1},{2,4,6,7},{3},{5}}
[2,4,6,1,7,5,3]=>[6,2,1,4,3,5,7]=>{{1,6},{2},{3},{4},{5},{7}}=>{{1},{2,7},{3},{4},{5},{6}}
[2,4,6,3,1,5,7]=>[2,4,6,3,1,5,7]=>{{1,2,4},{3,6},{5},{7}}=>{{1},{2,5},{3},{4,6,7}}
[2,4,6,3,1,7,5]=>[4,2,6,3,1,5,7]=>{{1,4},{2},{3,6},{5},{7}}=>{{1},{2,5},{3},{4,7},{6}}
[2,4,6,3,5,1,7]=>[2,4,3,6,1,5,7]=>{{1,2,4,6},{3},{5},{7}}=>{{1},{2,4,6,7},{3},{5}}
[2,4,6,3,5,7,1]=>[4,2,3,6,1,5,7]=>{{1,4,6},{2},{3},{5},{7}}=>{{1},{2,4,7},{3},{5},{6}}
[2,4,6,3,7,1,5]=>[4,6,2,3,1,5,7]=>{{1,4},{2,6},{3},{5},{7}}=>{{1},{2,6},{3},{4,7},{5}}
[2,4,6,3,7,5,1]=>[4,2,1,6,3,5,7]=>{{1,4,6},{2},{3},{5},{7}}=>{{1},{2,4,7},{3},{5},{6}}
[2,4,6,5,1,3,7]=>[2,4,6,5,1,3,7]=>{{1,2,4,5},{3,6},{7}}=>{{1},{2,5},{3,4,6,7}}
[2,4,6,5,1,7,3]=>[2,1,6,4,3,5,7]=>{{1,2},{3,6},{4},{5},{7}}=>{{1},{2,5},{3},{4},{6,7}}
[2,4,6,5,3,1,7]=>[2,6,4,3,1,5,7]=>{{1,2,6},{3,4},{5},{7}}=>{{1},{2,6,7},{3},{4,5}}
[2,4,6,5,3,7,1]=>[6,2,4,3,1,5,7]=>{{1,6},{2},{3,4},{5},{7}}=>{{1},{2,7},{3},{4,5},{6}}
[2,4,6,5,7,1,3]=>[2,6,1,4,3,5,7]=>{{1,2,6},{3},{4},{5},{7}}=>{{1},{2,6,7},{3},{4},{5}}
[2,4,6,5,7,3,1]=>[6,4,2,3,1,5,7]=>{{1,6},{2,4},{3},{5},{7}}=>{{1},{2,7},{3},{4,6},{5}}
[2,4,6,7,1,3,5]=>[2,4,6,1,3,5,7]=>{{1,2,4},{3,6},{5},{7}}=>{{1},{2,5},{3},{4,6,7}}
[2,4,6,7,1,5,3]=>[6,2,4,1,3,5,7]=>{{1,6},{2},{3,4},{5},{7}}=>{{1},{2,7},{3},{4,5},{6}}
[2,4,6,7,3,1,5]=>[4,6,2,1,3,5,7]=>{{1,4},{2,6},{3},{5},{7}}=>{{1},{2,6},{3},{4,7},{5}}
[2,4,6,7,3,5,1]=>[4,2,6,1,3,5,7]=>{{1,4},{2},{3,6},{5},{7}}=>{{1},{2,5},{3},{4,7},{6}}
[2,4,6,7,5,1,3]=>[2,6,4,1,3,5,7]=>{{1,2,6},{3,4},{5},{7}}=>{{1},{2,6,7},{3},{4,5}}
[2,4,6,7,5,3,1]=>[6,4,2,1,3,5,7]=>{{1,6},{2,4},{3},{5},{7}}=>{{1},{2,7},{3},{4,6},{5}}
[2,4,7,1,3,5,6]=>[2,4,5,7,1,3,6]=>{{1,2,4,7},{3,5},{6}}=>{{1,4,6,7},{2},{3,5}}
[2,4,7,1,3,6,5]=>[7,2,4,6,1,3,5]=>{{1,7},{2},{3,4,6},{5}}=>{{1,7},{2,4,5},{3},{6}}
[2,4,7,1,5,3,6]=>[2,7,4,5,1,3,6]=>{{1,2,7},{3,4,5},{6}}=>{{1,6,7},{2},{3,4,5}}
[2,4,7,1,5,6,3]=>[7,2,4,5,1,3,6]=>{{1,7},{2},{3,4,5},{6}}=>{{1,7},{2},{3,4,5},{6}}
[2,4,7,1,6,3,5]=>[2,7,4,6,1,3,5]=>{{1,2,7},{3,4,6},{5}}=>{{1,6,7},{2,4,5},{3}}
[2,4,7,1,6,5,3]=>[7,6,2,4,1,3,5]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[2,4,7,3,1,5,6]=>[2,4,7,3,1,5,6]=>{{1,2,4},{3,7},{5},{6}}=>{{1,5},{2},{3},{4,6,7}}
[2,4,7,3,1,6,5]=>[4,2,7,6,1,3,5]=>{{1,4,6},{2},{3,7},{5}}=>{{1,5},{2,4,7},{3},{6}}
[2,4,7,3,5,1,6]=>[2,4,3,7,1,5,6]=>{{1,2,4,7},{3},{5},{6}}=>{{1,4,6,7},{2},{3},{5}}
[2,4,7,3,5,6,1]=>[4,2,3,7,1,5,6]=>{{1,4,7},{2},{3},{5},{6}}=>{{1,4,7},{2},{3},{5},{6}}
[2,4,7,3,6,1,5]=>[4,7,2,6,1,3,5]=>{{1,4,6},{2,7},{3},{5}}=>{{1,6},{2,4,7},{3},{5}}
[2,4,7,3,6,5,1]=>[7,4,2,6,1,3,5]=>{{1,7},{2,4,6},{3},{5}}=>{{1,7},{2,4,6},{3},{5}}
[2,4,7,5,1,3,6]=>[2,4,7,5,1,3,6]=>{{1,2,4,5},{3,7},{6}}=>{{1,5},{2},{3,4,6,7}}
[2,4,7,5,1,6,3]=>[2,1,7,4,3,5,6]=>{{1,2},{3,7},{4},{5},{6}}=>{{1,5},{2},{3},{4},{6,7}}
[2,4,7,5,3,1,6]=>[2,7,4,3,1,5,6]=>{{1,2,7},{3,4},{5},{6}}=>{{1,6,7},{2},{3},{4,5}}
[2,4,7,5,3,6,1]=>[7,2,4,3,1,5,6]=>{{1,7},{2},{3,4},{5},{6}}=>{{1,7},{2},{3},{4,5},{6}}
[2,4,7,5,6,1,3]=>[2,7,1,4,3,5,6]=>{{1,2,7},{3},{4},{5},{6}}=>{{1,6,7},{2},{3},{4},{5}}
[2,4,7,5,6,3,1]=>[7,4,2,3,1,5,6]=>{{1,7},{2,4},{3},{5},{6}}=>{{1,7},{2},{3},{4,6},{5}}
[2,4,7,6,1,3,5]=>[2,4,7,6,1,3,5]=>{{1,2,4,6},{3,7},{5}}=>{{1,5},{2,4,6,7},{3}}
[2,4,7,6,1,5,3]=>[7,2,6,4,1,3,5]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,7},{2,5},{3},{4},{6}}
[2,4,7,6,3,1,5]=>[4,7,6,2,1,3,5]=>{{1,4},{2,7},{3,6},{5}}=>{{1,6},{2,5},{3},{4,7}}
[2,4,7,6,3,5,1]=>[7,4,6,2,1,3,5]=>{{1,7},{2,4},{3,6},{5}}=>{{1,7},{2,5},{3},{4,6}}
[2,4,7,6,5,1,3]=>[2,7,6,4,1,3,5]=>{{1,2,7},{3,6},{4},{5}}=>{{1,6,7},{2,5},{3},{4}}
[2,4,7,6,5,3,1]=>[7,6,4,2,1,3,5]=>{{1,7},{2,6},{3,4},{5}}=>{{1,7},{2,6},{3},{4,5}}
[2,5,1,3,4,6,7]=>[2,3,5,6,7,1,4]=>{{1,2,3,5,7},{4,6}}=>{{1,3,5,6,7},{2,4}}
[2,5,1,3,4,7,6]=>[2,1,3,5,7,4,6]=>{{1,2},{3},{4,5,7},{6}}=>{{1,3,4},{2},{5},{6,7}}
[2,5,1,3,6,4,7]=>[2,5,1,6,7,3,4]=>{{1,2,5,7},{3},{4,6}}=>{{1,3,6,7},{2,4},{5}}
[2,5,1,3,6,7,4]=>[2,1,5,6,7,3,4]=>{{1,2},{3,5,7},{4,6}}=>{{1,3,5},{2,4},{6,7}}
[2,5,1,3,7,4,6]=>[2,3,1,5,7,4,6]=>{{1,2,3},{4,5,7},{6}}=>{{1,3,4},{2},{5,6,7}}
[2,5,1,3,7,6,4]=>[7,2,1,5,6,3,4]=>{{1,7},{2},{3},{4,5,6}}=>{{1,7},{2,3,4},{5},{6}}
[2,5,1,4,3,6,7]=>[2,5,6,4,7,1,3]=>{{1,2,5,7},{3,6},{4}}=>{{1,3,6,7},{2,5},{4}}
[2,5,1,4,3,7,6]=>[2,1,5,4,7,3,6]=>{{1,2},{3,5,7},{4},{6}}=>{{1,3,5},{2},{4},{6,7}}
[2,5,1,4,6,3,7]=>[2,5,4,6,7,1,3]=>{{1,2,5,7},{3,4,6}}=>{{1,3,6,7},{2,4,5}}
[2,5,1,4,6,7,3]=>[5,2,4,6,7,1,3]=>{{1,5,7},{2},{3,4,6}}=>{{1,3,7},{2,4,5},{6}}
[2,5,1,4,7,3,6]=>[2,5,1,4,7,3,6]=>{{1,2,5,7},{3},{4},{6}}=>{{1,3,6,7},{2},{4},{5}}
[2,5,1,4,7,6,3]=>[5,2,1,4,7,3,6]=>{{1,5,7},{2},{3},{4},{6}}=>{{1,3,7},{2},{4},{5},{6}}
[2,5,1,6,3,4,7]=>[2,5,6,1,7,3,4]=>{{1,2,5,7},{3,6},{4}}=>{{1,3,6,7},{2,5},{4}}
[2,5,1,6,3,7,4]=>[2,1,5,3,6,4,7]=>{{1,2},{3,5,6},{4},{7}}=>{{1},{2,3,5},{4},{6,7}}
[2,5,1,6,4,3,7]=>[2,5,4,1,6,3,7]=>{{1,2,5,6},{3,4},{7}}=>{{1},{2,3,6,7},{4,5}}
[2,5,1,6,4,7,3]=>[5,2,4,1,6,3,7]=>{{1,5,6},{2},{3,4},{7}}=>{{1},{2,3,7},{4,5},{6}}
[2,5,1,6,7,3,4]=>[2,5,1,3,6,4,7]=>{{1,2,5,6},{3},{4},{7}}=>{{1},{2,3,6,7},{4},{5}}
[2,5,1,6,7,4,3]=>[5,2,1,4,6,3,7]=>{{1,5,6},{2},{3},{4},{7}}=>{{1},{2,3,7},{4},{5},{6}}
[2,5,1,7,3,4,6]=>[2,3,5,1,7,4,6]=>{{1,2,3,5,7},{4},{6}}=>{{1,3,5,6,7},{2},{4}}
[2,5,1,7,3,6,4]=>[7,2,5,1,6,3,4]=>{{1,7},{2},{3,5,6},{4}}=>{{1,7},{2,3,5},{4},{6}}
[2,5,1,7,4,3,6]=>[2,5,4,1,7,3,6]=>{{1,2,5,7},{3,4},{6}}=>{{1,3,6,7},{2},{4,5}}
[2,5,1,7,4,6,3]=>[5,2,4,1,7,3,6]=>{{1,5,7},{2},{3,4},{6}}=>{{1,3,7},{2},{4,5},{6}}
[2,5,1,7,6,3,4]=>[2,7,5,1,6,3,4]=>{{1,2,7},{3,5,6},{4}}=>{{1,6,7},{2,3,5},{4}}
[2,5,1,7,6,4,3]=>[7,5,2,1,4,3,6]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,7},{2},{3,6},{4},{5}}
[2,5,3,1,4,6,7]=>[2,3,5,6,4,1,7]=>{{1,2,3,5},{4,6},{7}}=>{{1},{2,4},{3,5,6,7}}
[2,5,3,1,4,7,6]=>[5,2,3,7,4,1,6]=>{{1,5},{2},{3},{4,7},{6}}=>{{1,4},{2},{3,7},{5},{6}}
[2,5,3,1,6,4,7]=>[2,5,3,6,4,1,7]=>{{1,2,5},{3},{4,6},{7}}=>{{1},{2,4},{3,6,7},{5}}
[2,5,3,1,6,7,4]=>[5,2,3,6,4,1,7]=>{{1,5},{2},{3},{4,6},{7}}=>{{1},{2,4},{3,7},{5},{6}}
[2,5,3,1,7,4,6]=>[2,5,3,7,4,1,6]=>{{1,2,5},{3},{4,7},{6}}=>{{1,4},{2},{3,6,7},{5}}
[2,5,3,1,7,6,4]=>[5,2,1,7,6,3,4]=>{{1,5,6},{2},{3},{4,7}}=>{{1,4},{2,3,7},{5},{6}}
[2,5,3,4,1,6,7]=>[2,3,5,4,6,1,7]=>{{1,2,3,5,6},{4},{7}}=>{{1},{2,3,5,6,7},{4}}
[2,5,3,4,1,7,6]=>[5,2,7,3,4,1,6]=>{{1,5},{2},{3,7},{4},{6}}=>{{1,5},{2},{3,7},{4},{6}}
[2,5,3,4,6,1,7]=>[2,5,3,4,6,1,7]=>{{1,2,5,6},{3},{4},{7}}=>{{1},{2,3,6,7},{4},{5}}
[2,5,3,4,6,7,1]=>[5,2,3,4,6,1,7]=>{{1,5,6},{2},{3},{4},{7}}=>{{1},{2,3,7},{4},{5},{6}}
[2,5,3,4,7,1,6]=>[5,7,2,3,4,1,6]=>{{1,5},{2,7},{3},{4},{6}}=>{{1,6},{2},{3,7},{4},{5}}
[2,5,3,4,7,6,1]=>[5,2,1,3,7,4,6]=>{{1,5,7},{2},{3},{4},{6}}=>{{1,3,7},{2},{4},{5},{6}}
[2,5,3,6,1,4,7]=>[2,5,6,3,4,1,7]=>{{1,2,5},{3,6},{4},{7}}=>{{1},{2,5},{3,6,7},{4}}
[2,5,3,6,1,7,4]=>[5,2,6,3,4,1,7]=>{{1,5},{2},{3,6},{4},{7}}=>{{1},{2,5},{3,7},{4},{6}}
[2,5,3,6,4,1,7]=>[2,5,3,1,6,4,7]=>{{1,2,5,6},{3},{4},{7}}=>{{1},{2,3,6,7},{4},{5}}
[2,5,3,6,4,7,1]=>[5,2,3,1,6,4,7]=>{{1,5,6},{2},{3},{4},{7}}=>{{1},{2,3,7},{4},{5},{6}}
[2,5,3,6,7,1,4]=>[5,6,2,3,4,1,7]=>{{1,5},{2,6},{3},{4},{7}}=>{{1},{2,6},{3,7},{4},{5}}
[2,5,3,6,7,4,1]=>[5,2,1,3,6,4,7]=>{{1,5,6},{2},{3},{4},{7}}=>{{1},{2,3,7},{4},{5},{6}}
[2,5,3,7,1,4,6]=>[2,5,7,3,4,1,6]=>{{1,2,5},{3,7},{4},{6}}=>{{1,5},{2},{3,6,7},{4}}
[2,5,3,7,1,6,4]=>[5,2,7,1,6,3,4]=>{{1,5,6},{2},{3,7},{4}}=>{{1,5},{2,3,7},{4},{6}}
[2,5,3,7,4,1,6]=>[2,5,3,1,7,4,6]=>{{1,2,5,7},{3},{4},{6}}=>{{1,3,6,7},{2},{4},{5}}
[2,5,3,7,4,6,1]=>[5,2,3,1,7,4,6]=>{{1,5,7},{2},{3},{4},{6}}=>{{1,3,7},{2},{4},{5},{6}}
[2,5,3,7,6,1,4]=>[5,7,2,1,6,3,4]=>{{1,5,6},{2,7},{3},{4}}=>{{1,6},{2,3,7},{4},{5}}
[2,5,3,7,6,4,1]=>[7,5,2,1,6,3,4]=>{{1,7},{2,5,6},{3},{4}}=>{{1,7},{2,3,6},{4},{5}}
[2,5,4,1,3,6,7]=>[2,5,6,7,4,1,3]=>{{1,2,5},{3,6},{4,7}}=>{{1,4},{2,5},{3,6,7}}
[2,5,4,1,3,7,6]=>[2,1,5,7,4,3,6]=>{{1,2},{3,5},{4,7},{6}}=>{{1,4},{2},{3,5},{6,7}}
[2,5,4,1,6,3,7]=>[2,5,1,6,4,3,7]=>{{1,2,5},{3},{4,6},{7}}=>{{1},{2,4},{3,6,7},{5}}
[2,5,4,1,6,7,3]=>[2,1,5,6,4,3,7]=>{{1,2},{3,5},{4,6},{7}}=>{{1},{2,4},{3,5},{6,7}}
[2,5,4,1,7,3,6]=>[2,5,1,7,4,3,6]=>{{1,2,5},{3},{4,7},{6}}=>{{1,4},{2},{3,6,7},{5}}
[2,5,4,1,7,6,3]=>[5,2,1,7,4,3,6]=>{{1,5},{2},{3},{4,7},{6}}=>{{1,4},{2},{3,7},{5},{6}}
[2,5,4,3,1,6,7]=>[2,5,6,4,3,1,7]=>{{1,2,5},{3,6},{4},{7}}=>{{1},{2,5},{3,6,7},{4}}
[2,5,4,3,1,7,6]=>[5,2,7,4,3,1,6]=>{{1,5},{2},{3,7},{4},{6}}=>{{1,5},{2},{3,7},{4},{6}}
[2,5,4,3,6,1,7]=>[2,5,4,6,3,1,7]=>{{1,2,5},{3,4,6},{7}}=>{{1},{2,4,5},{3,6,7}}
[2,5,4,3,6,7,1]=>[5,2,4,6,3,1,7]=>{{1,5},{2},{3,4,6},{7}}=>{{1},{2,4,5},{3,7},{6}}
[2,5,4,3,7,1,6]=>[5,7,2,4,3,1,6]=>{{1,5},{2,7},{3},{4},{6}}=>{{1,6},{2},{3,7},{4},{5}}
[2,5,4,3,7,6,1]=>[5,4,2,7,3,1,6]=>{{1,5},{2,4,7},{3},{6}}=>{{1,4,6},{2},{3,7},{5}}
[2,5,4,6,1,3,7]=>[2,5,6,1,4,3,7]=>{{1,2,5},{3,6},{4},{7}}=>{{1},{2,5},{3,6,7},{4}}
[2,5,4,6,1,7,3]=>[2,1,5,4,6,3,7]=>{{1,2},{3,5,6},{4},{7}}=>{{1},{2,3,5},{4},{6,7}}
[2,5,4,6,3,1,7]=>[2,5,4,3,6,1,7]=>{{1,2,5,6},{3,4},{7}}=>{{1},{2,3,6,7},{4,5}}
[2,5,4,6,3,7,1]=>[5,2,4,3,6,1,7]=>{{1,5,6},{2},{3,4},{7}}=>{{1},{2,3,7},{4,5},{6}}
[2,5,4,6,7,1,3]=>[2,5,1,4,6,3,7]=>{{1,2,5,6},{3},{4},{7}}=>{{1},{2,3,6,7},{4},{5}}
[2,5,4,6,7,3,1]=>[5,4,2,3,6,1,7]=>{{1,5,6},{2,4},{3},{7}}=>{{1},{2,3,7},{4,6},{5}}
[2,5,4,7,1,3,6]=>[2,5,7,1,4,3,6]=>{{1,2,5},{3,7},{4},{6}}=>{{1,5},{2},{3,6,7},{4}}
[2,5,4,7,1,6,3]=>[5,2,7,1,4,3,6]=>{{1,5},{2},{3,7},{4},{6}}=>{{1,5},{2},{3,7},{4},{6}}
[2,5,4,7,3,1,6]=>[5,7,4,2,3,1,6]=>{{1,5},{2,7},{3,4},{6}}=>{{1,6},{2},{3,7},{4,5}}
[2,5,4,7,3,6,1]=>[5,4,7,2,3,1,6]=>{{1,5},{2,4},{3,7},{6}}=>{{1,5},{2},{3,7},{4,6}}
[2,5,4,7,6,1,3]=>[5,7,2,1,4,3,6]=>{{1,5},{2,7},{3},{4},{6}}=>{{1,6},{2},{3,7},{4},{5}}
[2,5,4,7,6,3,1]=>[5,4,2,1,7,3,6]=>{{1,5,7},{2,4},{3},{6}}=>{{1,3,7},{2},{4,6},{5}}
[2,5,6,1,3,4,7]=>[2,5,6,7,1,3,4]=>{{1,2,5},{3,6},{4,7}}=>{{1,4},{2,5},{3,6,7}}
[2,5,6,1,3,7,4]=>[2,1,5,6,3,4,7]=>{{1,2},{3,5},{4,6},{7}}=>{{1},{2,4},{3,5},{6,7}}
[2,5,6,1,4,3,7]=>[2,5,4,6,1,3,7]=>{{1,2,5},{3,4,6},{7}}=>{{1},{2,4,5},{3,6,7}}
[2,5,6,1,4,7,3]=>[5,2,4,6,1,3,7]=>{{1,5},{2},{3,4,6},{7}}=>{{1},{2,4,5},{3,7},{6}}
[2,5,6,1,7,3,4]=>[2,5,1,6,3,4,7]=>{{1,2,5},{3},{4,6},{7}}=>{{1},{2,4},{3,6,7},{5}}
[2,5,6,1,7,4,3]=>[5,2,1,4,3,6,7]=>{{1,5},{2},{3},{4},{6},{7}}=>{{1},{2},{3,7},{4},{5},{6}}
[2,5,6,3,1,4,7]=>[2,5,6,3,1,4,7]=>{{1,2,5},{3,6},{4},{7}}=>{{1},{2,5},{3,6,7},{4}}
[2,5,6,3,1,7,4]=>[5,2,6,3,1,4,7]=>{{1,5},{2},{3,6},{4},{7}}=>{{1},{2,5},{3,7},{4},{6}}
[2,5,6,3,4,1,7]=>[2,5,3,6,1,4,7]=>{{1,2,5},{3},{4,6},{7}}=>{{1},{2,4},{3,6,7},{5}}
[2,5,6,3,4,7,1]=>[5,2,3,6,1,4,7]=>{{1,5},{2},{3},{4,6},{7}}=>{{1},{2,4},{3,7},{5},{6}}
[2,5,6,3,7,1,4]=>[5,6,2,3,1,4,7]=>{{1,5},{2,6},{3},{4},{7}}=>{{1},{2,6},{3,7},{4},{5}}
[2,5,6,3,7,4,1]=>[5,2,1,6,3,4,7]=>{{1,5},{2},{3},{4,6},{7}}=>{{1},{2,4},{3,7},{5},{6}}
[2,5,6,4,1,3,7]=>[2,5,6,4,1,3,7]=>{{1,2,5},{3,6},{4},{7}}=>{{1},{2,5},{3,6,7},{4}}
[2,5,6,4,1,7,3]=>[2,1,5,4,3,6,7]=>{{1,2},{3,5},{4},{6},{7}}=>{{1},{2},{3,5},{4},{6,7}}
[2,5,6,4,3,1,7]=>[2,5,4,3,1,6,7]=>{{1,2,5},{3,4},{6},{7}}=>{{1},{2},{3,6,7},{4,5}}
[2,5,6,4,3,7,1]=>[5,2,4,3,1,6,7]=>{{1,5},{2},{3,4},{6},{7}}=>{{1},{2},{3,7},{4,5},{6}}
[2,5,6,4,7,1,3]=>[2,5,1,4,3,6,7]=>{{1,2,5},{3},{4},{6},{7}}=>{{1},{2},{3,6,7},{4},{5}}
[2,5,6,4,7,3,1]=>[5,4,2,3,1,6,7]=>{{1,5},{2,4},{3},{6},{7}}=>{{1},{2},{3,7},{4,6},{5}}
[2,5,6,7,1,3,4]=>[2,5,6,1,3,4,7]=>{{1,2,5},{3,6},{4},{7}}=>{{1},{2,5},{3,6,7},{4}}
[2,5,6,7,1,4,3]=>[5,2,4,1,3,6,7]=>{{1,5},{2},{3,4},{6},{7}}=>{{1},{2},{3,7},{4,5},{6}}
[2,5,6,7,3,1,4]=>[5,6,2,1,3,4,7]=>{{1,5},{2,6},{3},{4},{7}}=>{{1},{2,6},{3,7},{4},{5}}
[2,5,6,7,3,4,1]=>[5,2,6,1,3,4,7]=>{{1,5},{2},{3,6},{4},{7}}=>{{1},{2,5},{3,7},{4},{6}}
[2,5,6,7,4,1,3]=>[2,5,4,1,3,6,7]=>{{1,2,5},{3,4},{6},{7}}=>{{1},{2},{3,6,7},{4,5}}
[2,5,6,7,4,3,1]=>[5,4,2,1,3,6,7]=>{{1,5},{2,4},{3},{6},{7}}=>{{1},{2},{3,7},{4,6},{5}}
[2,5,7,1,3,4,6]=>[2,3,5,7,1,4,6]=>{{1,2,3,5},{4,7},{6}}=>{{1,4},{2},{3,5,6,7}}
[2,5,7,1,3,6,4]=>[7,2,5,6,1,3,4]=>{{1,7},{2},{3,5},{4,6}}=>{{1,7},{2,4},{3,5},{6}}
[2,5,7,1,4,3,6]=>[2,5,4,7,1,3,6]=>{{1,2,5},{3,4,7},{6}}=>{{1,4,5},{2},{3,6,7}}
[2,5,7,1,4,6,3]=>[5,2,4,7,1,3,6]=>{{1,5},{2},{3,4,7},{6}}=>{{1,4,5},{2},{3,7},{6}}
[2,5,7,1,6,3,4]=>[2,7,5,6,1,3,4]=>{{1,2,7},{3,5},{4,6}}=>{{1,6,7},{2,4},{3,5}}
[2,5,7,1,6,4,3]=>[7,5,2,4,1,3,6]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,7},{2},{3,6},{4},{5}}
[2,5,7,3,1,4,6]=>[2,5,7,3,1,4,6]=>{{1,2,5},{3,7},{4},{6}}=>{{1,5},{2},{3,6,7},{4}}
[2,5,7,3,1,6,4]=>[5,2,7,6,1,3,4]=>{{1,5},{2},{3,7},{4,6}}=>{{1,5},{2,4},{3,7},{6}}
[2,5,7,3,4,1,6]=>[2,5,3,7,1,4,6]=>{{1,2,5},{3},{4,7},{6}}=>{{1,4},{2},{3,6,7},{5}}
[2,5,7,3,4,6,1]=>[5,2,3,7,1,4,6]=>{{1,5},{2},{3},{4,7},{6}}=>{{1,4},{2},{3,7},{5},{6}}
[2,5,7,3,6,1,4]=>[5,7,2,6,1,3,4]=>{{1,5},{2,7},{3},{4,6}}=>{{1,6},{2,4},{3,7},{5}}
[2,5,7,3,6,4,1]=>[7,5,2,6,1,3,4]=>{{1,7},{2,5},{3},{4,6}}=>{{1,7},{2,4},{3,6},{5}}
[2,5,7,4,1,3,6]=>[2,5,7,4,1,3,6]=>{{1,2,5},{3,7},{4},{6}}=>{{1,5},{2},{3,6,7},{4}}
[2,5,7,4,1,6,3]=>[5,2,7,4,1,3,6]=>{{1,5},{2},{3,7},{4},{6}}=>{{1,5},{2},{3,7},{4},{6}}
[2,5,7,4,3,1,6]=>[5,7,4,2,1,3,6]=>{{1,5},{2,7},{3,4},{6}}=>{{1,6},{2},{3,7},{4,5}}
[2,5,7,4,3,6,1]=>[5,4,7,2,1,3,6]=>{{1,5},{2,4},{3,7},{6}}=>{{1,5},{2},{3,7},{4,6}}
[2,5,7,4,6,1,3]=>[5,7,2,4,1,3,6]=>{{1,5},{2,7},{3},{4},{6}}=>{{1,6},{2},{3,7},{4},{5}}
[2,5,7,4,6,3,1]=>[5,4,2,7,1,3,6]=>{{1,5},{2,4,7},{3},{6}}=>{{1,4,6},{2},{3,7},{5}}
[2,5,7,6,1,3,4]=>[2,5,7,6,1,3,4]=>{{1,2,5},{3,7},{4,6}}=>{{1,5},{2,4},{3,6,7}}
[2,5,7,6,1,4,3]=>[7,2,5,4,1,3,6]=>{{1,7},{2},{3,5},{4},{6}}=>{{1,7},{2},{3,5},{4},{6}}
[2,5,7,6,3,1,4]=>[5,7,6,2,1,3,4]=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}
[2,5,7,6,3,4,1]=>[7,5,6,2,1,3,4]=>{{1,7},{2,5},{3,6},{4}}=>{{1,7},{2,5},{3,6},{4}}
[2,5,7,6,4,1,3]=>[2,7,5,4,1,3,6]=>{{1,2,7},{3,5},{4},{6}}=>{{1,6,7},{2},{3,5},{4}}
[2,5,7,6,4,3,1]=>[7,5,4,2,1,3,6]=>{{1,7},{2,5},{3,4},{6}}=>{{1,7},{2},{3,6},{4,5}}
[2,6,1,3,4,5,7]=>[2,3,4,6,7,1,5]=>{{1,2,3,4,6},{5,7}}=>{{1,3},{2,4,5,6,7}}
[2,6,1,3,4,7,5]=>[2,1,3,6,7,4,5]=>{{1,2},{3},{4,6},{5,7}}=>{{1,3},{2,4},{5},{6,7}}
[2,6,1,3,5,4,7]=>[2,6,3,5,7,1,4]=>{{1,2,6},{3},{4,5,7}}=>{{1,3,4},{2,6,7},{5}}
[2,6,1,3,5,7,4]=>[6,2,3,5,7,1,4]=>{{1,6},{2},{3},{4,5,7}}=>{{1,3,4},{2,7},{5},{6}}
[2,6,1,3,7,4,5]=>[2,3,1,6,7,4,5]=>{{1,2,3},{4,6},{5,7}}=>{{1,3},{2,4},{5,6,7}}
[2,6,1,3,7,5,4]=>[6,2,1,5,7,3,4]=>{{1,6},{2},{3},{4,5,7}}=>{{1,3,4},{2,7},{5},{6}}
[2,6,1,4,3,5,7]=>[2,4,6,5,7,1,3]=>{{1,2,4,5,7},{3,6}}=>{{1,3,4,6,7},{2,5}}
[2,6,1,4,3,7,5]=>[2,1,6,4,7,3,5]=>{{1,2},{3,6},{4},{5,7}}=>{{1,3},{2,5},{4},{6,7}}
[2,6,1,4,5,3,7]=>[2,6,4,5,7,1,3]=>{{1,2,6},{3,4,5,7}}=>{{1,3,4,5},{2,6,7}}
[2,6,1,4,5,7,3]=>[6,2,4,5,7,1,3]=>{{1,6},{2},{3,4,5,7}}=>{{1,3,4,5},{2,7},{6}}
[2,6,1,4,7,3,5]=>[2,6,1,4,7,3,5]=>{{1,2,6},{3},{4},{5,7}}=>{{1,3},{2,6,7},{4},{5}}
[2,6,1,4,7,5,3]=>[6,2,1,4,7,3,5]=>{{1,6},{2},{3},{4},{5,7}}=>{{1,3},{2,7},{4},{5},{6}}
[2,6,1,5,3,4,7]=>[2,3,6,5,7,1,4]=>{{1,2,3,6},{4,5,7}}=>{{1,3,4},{2,5,6,7}}
[2,6,1,5,3,7,4]=>[2,1,6,5,7,3,4]=>{{1,2},{3,6},{4,5,7}}=>{{1,3,4},{2,5},{6,7}}
[2,6,1,5,4,3,7]=>[2,6,5,4,7,1,3]=>{{1,2,6},{3,5,7},{4}}=>{{1,3,5},{2,6,7},{4}}
[2,6,1,5,4,7,3]=>[6,2,5,4,7,1,3]=>{{1,6},{2},{3,5,7},{4}}=>{{1,3,5},{2,7},{4},{6}}
[2,6,1,5,7,3,4]=>[2,6,1,5,7,3,4]=>{{1,2,6},{3},{4,5,7}}=>{{1,3,4},{2,6,7},{5}}
[2,6,1,5,7,4,3]=>[6,5,2,4,7,1,3]=>{{1,6},{2,5,7},{3},{4}}=>{{1,3,6},{2,7},{4},{5}}
[2,6,1,7,3,4,5]=>[2,3,6,1,7,4,5]=>{{1,2,3,6},{4},{5,7}}=>{{1,3},{2,5,6,7},{4}}
[2,6,1,7,3,5,4]=>[6,2,5,1,7,3,4]=>{{1,6},{2},{3,5,7},{4}}=>{{1,3,5},{2,7},{4},{6}}
[2,6,1,7,4,3,5]=>[2,6,4,1,7,3,5]=>{{1,2,6},{3,4},{5,7}}=>{{1,3},{2,6,7},{4,5}}
[2,6,1,7,4,5,3]=>[6,2,4,1,7,3,5]=>{{1,6},{2},{3,4},{5,7}}=>{{1,3},{2,7},{4,5},{6}}
[2,6,1,7,5,3,4]=>[2,6,5,1,7,3,4]=>{{1,2,6},{3,5,7},{4}}=>{{1,3,5},{2,6,7},{4}}
[2,6,1,7,5,4,3]=>[6,5,2,1,4,3,7]=>{{1,6},{2,5},{3},{4},{7}}=>{{1},{2,7},{3,6},{4},{5}}
[2,6,3,1,4,5,7]=>[2,3,4,6,5,1,7]=>{{1,2,3,4,6},{5},{7}}=>{{1},{2,4,5,6,7},{3}}
[2,6,3,1,4,7,5]=>[6,2,3,7,4,1,5]=>{{1,6},{2},{3},{4,7},{5}}=>{{1,4},{2,7},{3},{5},{6}}
[2,6,3,1,5,4,7]=>[2,3,1,6,5,4,7]=>{{1,2,3},{4,6},{5},{7}}=>{{1},{2,4},{3},{5,6,7}}
[2,6,3,1,5,7,4]=>[2,1,3,6,5,4,7]=>{{1,2},{3},{4,6},{5},{7}}=>{{1},{2,4},{3},{5},{6,7}}
[2,6,3,1,7,4,5]=>[2,6,3,7,4,1,5]=>{{1,2,6},{3},{4,7},{5}}=>{{1,4},{2,6,7},{3},{5}}
[2,6,3,1,7,5,4]=>[6,2,1,7,5,3,4]=>{{1,6},{2},{3},{4,7},{5}}=>{{1,4},{2,7},{3},{5},{6}}
[2,6,3,4,1,5,7]=>[2,3,6,4,5,1,7]=>{{1,2,3,6},{4},{5},{7}}=>{{1},{2,5,6,7},{3},{4}}
[2,6,3,4,1,7,5]=>[6,2,7,3,4,1,5]=>{{1,6},{2},{3,7},{4},{5}}=>{{1,5},{2,7},{3},{4},{6}}
[2,6,3,4,5,1,7]=>[2,6,3,4,5,1,7]=>{{1,2,6},{3},{4},{5},{7}}=>{{1},{2,6,7},{3},{4},{5}}
[2,6,3,4,5,7,1]=>[6,2,3,4,5,1,7]=>{{1,6},{2},{3},{4},{5},{7}}=>{{1},{2,7},{3},{4},{5},{6}}
[2,6,3,4,7,1,5]=>[6,7,2,3,4,1,5]=>{{1,6},{2,7},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}
[2,6,3,4,7,5,1]=>[6,2,1,3,7,4,5]=>{{1,6},{2},{3},{4},{5,7}}=>{{1,3},{2,7},{4},{5},{6}}
[2,6,3,5,1,4,7]=>[2,3,6,1,5,4,7]=>{{1,2,3,6},{4},{5},{7}}=>{{1},{2,5,6,7},{3},{4}}
[2,6,3,5,1,7,4]=>[2,1,6,3,5,4,7]=>{{1,2},{3,6},{4},{5},{7}}=>{{1},{2,5},{3},{4},{6,7}}
[2,6,3,5,4,1,7]=>[2,6,5,3,4,1,7]=>{{1,2,6},{3,5},{4},{7}}=>{{1},{2,6,7},{3,5},{4}}
[2,6,3,5,4,7,1]=>[6,2,5,3,4,1,7]=>{{1,6},{2},{3,5},{4},{7}}=>{{1},{2,7},{3,5},{4},{6}}
[2,6,3,5,7,1,4]=>[2,6,1,3,5,4,7]=>{{1,2,6},{3},{4},{5},{7}}=>{{1},{2,6,7},{3},{4},{5}}
[2,6,3,5,7,4,1]=>[6,5,2,3,4,1,7]=>{{1,6},{2,5},{3},{4},{7}}=>{{1},{2,7},{3,6},{4},{5}}
[2,6,3,7,1,4,5]=>[2,6,7,3,4,1,5]=>{{1,2,6},{3,7},{4},{5}}=>{{1,5},{2,6,7},{3},{4}}
[2,6,3,7,1,5,4]=>[6,2,7,1,5,3,4]=>{{1,6},{2},{3,7},{4},{5}}=>{{1,5},{2,7},{3},{4},{6}}
[2,6,3,7,4,1,5]=>[2,6,3,1,7,4,5]=>{{1,2,6},{3},{4},{5,7}}=>{{1,3},{2,6,7},{4},{5}}
[2,6,3,7,4,5,1]=>[6,2,3,1,7,4,5]=>{{1,6},{2},{3},{4},{5,7}}=>{{1,3},{2,7},{4},{5},{6}}
[2,6,3,7,5,1,4]=>[6,7,2,1,5,3,4]=>{{1,6},{2,7},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}
[2,6,3,7,5,4,1]=>[6,5,2,1,7,3,4]=>{{1,6},{2,5,7},{3},{4}}=>{{1,3,6},{2,7},{4},{5}}
[2,6,4,1,3,5,7]=>[2,4,6,7,5,1,3]=>{{1,2,4,7},{3,6},{5}}=>{{1,4,6,7},{2,5},{3}}
[2,6,4,1,3,7,5]=>[2,1,6,7,4,3,5]=>{{1,2},{3,6},{4,7},{5}}=>{{1,4},{2,5},{3},{6,7}}
[2,6,4,1,5,3,7]=>[2,4,1,6,5,3,7]=>{{1,2,4,6},{3},{5},{7}}=>{{1},{2,4,6,7},{3},{5}}
[2,6,4,1,5,7,3]=>[2,1,4,6,5,3,7]=>{{1,2},{3,4,6},{5},{7}}=>{{1},{2,4,5},{3},{6,7}}
[2,6,4,1,7,3,5]=>[2,6,1,7,4,3,5]=>{{1,2,6},{3},{4,7},{5}}=>{{1,4},{2,6,7},{3},{5}}
[2,6,4,1,7,5,3]=>[6,2,1,7,4,3,5]=>{{1,6},{2},{3},{4,7},{5}}=>{{1,4},{2,7},{3},{5},{6}}
[2,6,4,3,1,5,7]=>[2,4,6,5,3,1,7]=>{{1,2,4,5},{3,6},{7}}=>{{1},{2,5},{3,4,6,7}}
[2,6,4,3,1,7,5]=>[6,2,7,4,3,1,5]=>{{1,6},{2},{3,7},{4},{5}}=>{{1,5},{2,7},{3},{4},{6}}
[2,6,4,3,5,1,7]=>[2,6,4,5,3,1,7]=>{{1,2,6},{3,4,5},{7}}=>{{1},{2,6,7},{3,4,5}}
[2,6,4,3,5,7,1]=>[6,2,4,5,3,1,7]=>{{1,6},{2},{3,4,5},{7}}=>{{1},{2,7},{3,4,5},{6}}
[2,6,4,3,7,1,5]=>[6,7,2,4,3,1,5]=>{{1,6},{2,7},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}
[2,6,4,3,7,5,1]=>[6,4,2,7,3,1,5]=>{{1,6},{2,4,7},{3},{5}}=>{{1,4,6},{2,7},{3},{5}}
[2,6,4,5,1,3,7]=>[2,4,6,1,5,3,7]=>{{1,2,4},{3,6},{5},{7}}=>{{1},{2,5},{3},{4,6,7}}
[2,6,4,5,1,7,3]=>[2,1,6,4,5,3,7]=>{{1,2},{3,6},{4},{5},{7}}=>{{1},{2,5},{3},{4},{6,7}}
[2,6,4,5,3,1,7]=>[2,6,4,3,5,1,7]=>{{1,2,6},{3,4},{5},{7}}=>{{1},{2,6,7},{3},{4,5}}
[2,6,4,5,3,7,1]=>[6,2,4,3,5,1,7]=>{{1,6},{2},{3,4},{5},{7}}=>{{1},{2,7},{3},{4,5},{6}}
[2,6,4,5,7,1,3]=>[2,6,1,4,5,3,7]=>{{1,2,6},{3},{4},{5},{7}}=>{{1},{2,6,7},{3},{4},{5}}
[2,6,4,5,7,3,1]=>[6,4,2,3,5,1,7]=>{{1,6},{2,4},{3},{5},{7}}=>{{1},{2,7},{3},{4,6},{5}}
[2,6,4,7,1,3,5]=>[2,6,7,1,4,3,5]=>{{1,2,6},{3,7},{4},{5}}=>{{1,5},{2,6,7},{3},{4}}
[2,6,4,7,1,5,3]=>[6,2,7,1,4,3,5]=>{{1,6},{2},{3,7},{4},{5}}=>{{1,5},{2,7},{3},{4},{6}}
[2,6,4,7,3,1,5]=>[6,7,4,2,3,1,5]=>{{1,6},{2,7},{3,4},{5}}=>{{1,6},{2,7},{3},{4,5}}
[2,6,4,7,3,5,1]=>[6,4,7,2,3,1,5]=>{{1,6},{2,4},{3,7},{5}}=>{{1,5},{2,7},{3},{4,6}}
[2,6,4,7,5,1,3]=>[6,7,2,1,4,3,5]=>{{1,6},{2,7},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}
[2,6,4,7,5,3,1]=>[6,4,2,1,7,3,5]=>{{1,6},{2,4},{3},{5,7}}=>{{1,3},{2,7},{4,6},{5}}
[2,6,5,1,3,4,7]=>[2,3,6,7,5,1,4]=>{{1,2,3,6},{4,7},{5}}=>{{1,4},{2,5,6,7},{3}}
[2,6,5,1,3,7,4]=>[2,1,6,7,5,3,4]=>{{1,2},{3,6},{4,7},{5}}=>{{1,4},{2,5},{3},{6,7}}
[2,6,5,1,4,3,7]=>[2,6,5,7,4,1,3]=>{{1,2,6},{3,5},{4,7}}=>{{1,4},{2,6,7},{3,5}}
[2,6,5,1,4,7,3]=>[6,2,5,7,4,1,3]=>{{1,6},{2},{3,5},{4,7}}=>{{1,4},{2,7},{3,5},{6}}
[2,6,5,1,7,3,4]=>[2,6,1,7,5,3,4]=>{{1,2,6},{3},{4,7},{5}}=>{{1,4},{2,6,7},{3},{5}}
[2,6,5,1,7,4,3]=>[6,2,1,5,4,3,7]=>{{1,6},{2},{3},{4,5},{7}}=>{{1},{2,7},{3,4},{5},{6}}
[2,6,5,3,1,4,7]=>[2,3,6,5,4,1,7]=>{{1,2,3,6},{4,5},{7}}=>{{1},{2,5,6,7},{3,4}}
[2,6,5,3,1,7,4]=>[6,2,7,5,3,1,4]=>{{1,6},{2},{3,7},{4,5}}=>{{1,5},{2,7},{3,4},{6}}
[2,6,5,3,4,1,7]=>[2,6,3,5,4,1,7]=>{{1,2,6},{3},{4,5},{7}}=>{{1},{2,6,7},{3,4},{5}}
[2,6,5,3,4,7,1]=>[6,2,3,5,4,1,7]=>{{1,6},{2},{3},{4,5},{7}}=>{{1},{2,7},{3,4},{5},{6}}
[2,6,5,3,7,1,4]=>[6,7,2,5,3,1,4]=>{{1,6},{2,7},{3},{4,5}}=>{{1,6},{2,7},{3,4},{5}}
[2,6,5,3,7,4,1]=>[6,5,2,7,3,1,4]=>{{1,6},{2,5},{3},{4,7}}=>{{1,4},{2,7},{3,6},{5}}
[2,6,5,4,1,3,7]=>[2,6,7,5,4,1,3]=>{{1,2,6},{3,7},{4,5}}=>{{1,5},{2,6,7},{3,4}}
[2,6,5,4,1,7,3]=>[2,1,6,5,4,3,7]=>{{1,2},{3,6},{4,5},{7}}=>{{1},{2,5},{3,4},{6,7}}
[2,6,5,4,3,1,7]=>[2,6,5,4,3,1,7]=>{{1,2,6},{3,5},{4},{7}}=>{{1},{2,6,7},{3,5},{4}}
[2,6,5,4,3,7,1]=>[6,2,5,4,3,1,7]=>{{1,6},{2},{3,5},{4},{7}}=>{{1},{2,7},{3,5},{4},{6}}
[2,6,5,4,7,1,3]=>[2,6,1,5,4,3,7]=>{{1,2,6},{3},{4,5},{7}}=>{{1},{2,6,7},{3,4},{5}}
[2,6,5,4,7,3,1]=>[6,5,2,4,3,1,7]=>{{1,6},{2,5},{3},{4},{7}}=>{{1},{2,7},{3,6},{4},{5}}
[2,6,5,7,1,3,4]=>[2,6,7,1,5,3,4]=>{{1,2,6},{3,7},{4},{5}}=>{{1,5},{2,6,7},{3},{4}}
[2,6,5,7,1,4,3]=>[6,2,5,1,4,3,7]=>{{1,6},{2},{3,5},{4},{7}}=>{{1},{2,7},{3,5},{4},{6}}
[2,6,5,7,3,1,4]=>[6,7,5,2,3,1,4]=>{{1,6},{2,7},{3,5},{4}}=>{{1,6},{2,7},{3,5},{4}}
[2,6,5,7,3,4,1]=>[6,5,7,2,3,1,4]=>{{1,6},{2,5},{3,7},{4}}=>{{1,5},{2,7},{3,6},{4}}
[2,6,5,7,4,1,3]=>[2,6,5,1,4,3,7]=>{{1,2,6},{3,5},{4},{7}}=>{{1},{2,6,7},{3,5},{4}}
[2,6,5,7,4,3,1]=>[6,5,4,2,3,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1},{2,7},{3,6},{4,5}}
[2,6,7,1,3,4,5]=>[2,3,6,7,1,4,5]=>{{1,2,3,6},{4,7},{5}}=>{{1,4},{2,5,6,7},{3}}
[2,6,7,1,3,5,4]=>[6,2,5,7,1,3,4]=>{{1,6},{2},{3,5},{4,7}}=>{{1,4},{2,7},{3,5},{6}}
[2,6,7,1,4,3,5]=>[2,6,4,7,1,3,5]=>{{1,2,6},{3,4,7},{5}}=>{{1,4,5},{2,6,7},{3}}
[2,6,7,1,4,5,3]=>[6,2,4,7,1,3,5]=>{{1,6},{2},{3,4,7},{5}}=>{{1,4,5},{2,7},{3},{6}}
[2,6,7,1,5,3,4]=>[2,6,5,7,1,3,4]=>{{1,2,6},{3,5},{4,7}}=>{{1,4},{2,6,7},{3,5}}
[2,6,7,1,5,4,3]=>[6,5,2,4,1,3,7]=>{{1,6},{2,5},{3},{4},{7}}=>{{1},{2,7},{3,6},{4},{5}}
[2,6,7,3,1,4,5]=>[2,6,7,3,1,4,5]=>{{1,2,6},{3,7},{4},{5}}=>{{1,5},{2,6,7},{3},{4}}
[2,6,7,3,1,5,4]=>[6,2,7,5,1,3,4]=>{{1,6},{2},{3,7},{4,5}}=>{{1,5},{2,7},{3,4},{6}}
[2,6,7,3,4,1,5]=>[2,6,3,7,1,4,5]=>{{1,2,6},{3},{4,7},{5}}=>{{1,4},{2,6,7},{3},{5}}
[2,6,7,3,4,5,1]=>[6,2,3,7,1,4,5]=>{{1,6},{2},{3},{4,7},{5}}=>{{1,4},{2,7},{3},{5},{6}}
[2,6,7,3,5,1,4]=>[6,7,2,5,1,3,4]=>{{1,6},{2,7},{3},{4,5}}=>{{1,6},{2,7},{3,4},{5}}
[2,6,7,3,5,4,1]=>[6,5,2,7,1,3,4]=>{{1,6},{2,5},{3},{4,7}}=>{{1,4},{2,7},{3,6},{5}}
[2,6,7,4,1,3,5]=>[2,6,7,4,1,3,5]=>{{1,2,6},{3,7},{4},{5}}=>{{1,5},{2,6,7},{3},{4}}
[2,6,7,4,1,5,3]=>[6,2,7,4,1,3,5]=>{{1,6},{2},{3,7},{4},{5}}=>{{1,5},{2,7},{3},{4},{6}}
[2,6,7,4,3,1,5]=>[6,7,4,2,1,3,5]=>{{1,6},{2,7},{3,4},{5}}=>{{1,6},{2,7},{3},{4,5}}
[2,6,7,4,3,5,1]=>[6,4,7,2,1,3,5]=>{{1,6},{2,4},{3,7},{5}}=>{{1,5},{2,7},{3},{4,6}}
[2,6,7,4,5,1,3]=>[6,7,2,4,1,3,5]=>{{1,6},{2,7},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}
[2,6,7,4,5,3,1]=>[6,4,2,7,1,3,5]=>{{1,6},{2,4,7},{3},{5}}=>{{1,4,6},{2,7},{3},{5}}
[2,6,7,5,1,3,4]=>[2,6,7,5,1,3,4]=>{{1,2,6},{3,7},{4,5}}=>{{1,5},{2,6,7},{3,4}}
[2,6,7,5,1,4,3]=>[6,2,5,4,1,3,7]=>{{1,6},{2},{3,5},{4},{7}}=>{{1},{2,7},{3,5},{4},{6}}
[2,6,7,5,3,1,4]=>[6,7,5,2,1,3,4]=>{{1,6},{2,7},{3,5},{4}}=>{{1,6},{2,7},{3,5},{4}}
[2,6,7,5,3,4,1]=>[6,5,7,2,1,3,4]=>{{1,6},{2,5},{3,7},{4}}=>{{1,5},{2,7},{3,6},{4}}
[2,6,7,5,4,1,3]=>[2,6,5,4,1,3,7]=>{{1,2,6},{3,5},{4},{7}}=>{{1},{2,6,7},{3,5},{4}}
[2,6,7,5,4,3,1]=>[6,5,4,2,1,3,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1},{2,7},{3,6},{4,5}}
[2,7,1,3,4,5,6]=>[2,3,4,5,7,1,6]=>{{1,2,3,4,5,7},{6}}=>{{1,3,4,5,6,7},{2}}
[2,7,1,3,4,6,5]=>[7,2,3,4,6,1,5]=>{{1,7},{2},{3},{4},{5,6}}=>{{1,7},{2,3},{4},{5},{6}}
[2,7,1,3,5,4,6]=>[2,7,3,5,6,1,4]=>{{1,2,7},{3},{4,5,6}}=>{{1,6,7},{2,3,4},{5}}
[2,7,1,3,5,6,4]=>[7,2,3,5,6,1,4]=>{{1,7},{2},{3},{4,5,6}}=>{{1,7},{2,3,4},{5},{6}}
[2,7,1,3,6,4,5]=>[2,7,3,4,6,1,5]=>{{1,2,7},{3},{4},{5,6}}=>{{1,6,7},{2,3},{4},{5}}
[2,7,1,3,6,5,4]=>[7,6,2,3,5,1,4]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[2,7,1,4,3,5,6]=>[2,4,7,5,6,1,3]=>{{1,2,4,5,6},{3,7}}=>{{1,5},{2,3,4,6,7}}
[2,7,1,4,3,6,5]=>[2,1,7,4,6,3,5]=>{{1,2},{3,7},{4},{5,6}}=>{{1,5},{2,3},{4},{6,7}}
[2,7,1,4,5,3,6]=>[2,7,4,5,6,1,3]=>{{1,2,7},{3,4,5,6}}=>{{1,6,7},{2,3,4,5}}
[2,7,1,4,5,6,3]=>[7,2,4,5,6,1,3]=>{{1,7},{2},{3,4,5,6}}=>{{1,7},{2,3,4,5},{6}}
[2,7,1,4,6,3,5]=>[2,7,1,4,6,3,5]=>{{1,2,7},{3},{4},{5,6}}=>{{1,6,7},{2,3},{4},{5}}
[2,7,1,4,6,5,3]=>[7,6,2,4,5,1,3]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[2,7,1,5,3,4,6]=>[2,3,7,5,6,1,4]=>{{1,2,3,7},{4,5,6}}=>{{1,5,6,7},{2,3,4}}
[2,7,1,5,3,6,4]=>[2,1,7,5,6,3,4]=>{{1,2},{3,7},{4,5,6}}=>{{1,5},{2,3,4},{6,7}}
[2,7,1,5,4,3,6]=>[2,7,5,4,6,1,3]=>{{1,2,7},{3,5,6},{4}}=>{{1,6,7},{2,3,5},{4}}
[2,7,1,5,4,6,3]=>[7,2,5,4,6,1,3]=>{{1,7},{2},{3,5,6},{4}}=>{{1,7},{2,3,5},{4},{6}}
[2,7,1,5,6,3,4]=>[2,7,1,5,6,3,4]=>{{1,2,7},{3},{4,5,6}}=>{{1,6,7},{2,3,4},{5}}
[2,7,1,5,6,4,3]=>[7,5,2,4,6,1,3]=>{{1,7},{2,5,6},{3},{4}}=>{{1,7},{2,3,6},{4},{5}}
[2,7,1,6,3,4,5]=>[2,3,7,4,6,1,5]=>{{1,2,3,7},{4},{5,6}}=>{{1,5,6,7},{2,3},{4}}
[2,7,1,6,3,5,4]=>[7,2,6,3,5,1,4]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,7},{2,5},{3},{4},{6}}
[2,7,1,6,4,3,5]=>[2,7,6,4,5,1,3]=>{{1,2,7},{3,6},{4},{5}}=>{{1,6,7},{2,5},{3},{4}}
[2,7,1,6,4,5,3]=>[7,2,6,4,5,1,3]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,7},{2,5},{3},{4},{6}}
[2,7,1,6,5,3,4]=>[2,7,6,3,5,1,4]=>{{1,2,7},{3,6},{4},{5}}=>{{1,6,7},{2,5},{3},{4}}
[2,7,1,6,5,4,3]=>[7,6,5,2,4,1,3]=>{{1,7},{2,6},{3,5},{4}}=>{{1,7},{2,6},{3,5},{4}}
[2,7,3,1,4,5,6]=>[2,3,4,7,5,1,6]=>{{1,2,3,4,7},{5},{6}}=>{{1,4,5,6,7},{2},{3}}
[2,7,3,1,4,6,5]=>[2,1,3,7,6,4,5]=>{{1,2},{3},{4,7},{5,6}}=>{{1,4},{2,3},{5},{6,7}}
[2,7,3,1,5,4,6]=>[2,3,1,7,5,4,6]=>{{1,2,3},{4,7},{5},{6}}=>{{1,4},{2},{3},{5,6,7}}
[2,7,3,1,5,6,4]=>[2,1,3,7,5,4,6]=>{{1,2},{3},{4,7},{5},{6}}=>{{1,4},{2},{3},{5},{6,7}}
[2,7,3,1,6,4,5]=>[2,3,1,7,6,4,5]=>{{1,2,3},{4,7},{5,6}}=>{{1,4},{2,3},{5,6,7}}
[2,7,3,1,6,5,4]=>[7,2,1,6,5,3,4]=>{{1,7},{2},{3},{4,6},{5}}=>{{1,7},{2,4},{3},{5},{6}}
[2,7,3,4,1,5,6]=>[2,3,7,4,5,1,6]=>{{1,2,3,7},{4},{5},{6}}=>{{1,5,6,7},{2},{3},{4}}
[2,7,3,4,1,6,5]=>[2,1,7,3,6,4,5]=>{{1,2},{3,7},{4},{5,6}}=>{{1,5},{2,3},{4},{6,7}}
[2,7,3,4,5,1,6]=>[2,7,3,4,5,1,6]=>{{1,2,7},{3},{4},{5},{6}}=>{{1,6,7},{2},{3},{4},{5}}
[2,7,3,4,5,6,1]=>[7,2,3,4,5,1,6]=>{{1,7},{2},{3},{4},{5},{6}}=>{{1,7},{2},{3},{4},{5},{6}}
[2,7,3,4,6,1,5]=>[2,7,1,3,6,4,5]=>{{1,2,7},{3},{4},{5,6}}=>{{1,6,7},{2,3},{4},{5}}
[2,7,3,4,6,5,1]=>[7,6,2,3,4,1,5]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[2,7,3,5,1,4,6]=>[2,3,7,1,5,4,6]=>{{1,2,3,7},{4},{5},{6}}=>{{1,5,6,7},{2},{3},{4}}
[2,7,3,5,1,6,4]=>[2,1,7,3,5,4,6]=>{{1,2},{3,7},{4},{5},{6}}=>{{1,5},{2},{3},{4},{6,7}}
[2,7,3,5,4,1,6]=>[2,7,5,3,4,1,6]=>{{1,2,7},{3,5},{4},{6}}=>{{1,6,7},{2},{3,5},{4}}
[2,7,3,5,4,6,1]=>[7,2,5,3,4,1,6]=>{{1,7},{2},{3,5},{4},{6}}=>{{1,7},{2},{3,5},{4},{6}}
[2,7,3,5,6,1,4]=>[2,7,1,3,5,4,6]=>{{1,2,7},{3},{4},{5},{6}}=>{{1,6,7},{2},{3},{4},{5}}
[2,7,3,5,6,4,1]=>[7,5,2,3,4,1,6]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,7},{2},{3,6},{4},{5}}
[2,7,3,6,1,4,5]=>[2,3,7,1,6,4,5]=>{{1,2,3,7},{4},{5,6}}=>{{1,5,6,7},{2,3},{4}}
[2,7,3,6,1,5,4]=>[7,2,6,1,5,3,4]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,7},{2,5},{3},{4},{6}}
[2,7,3,6,4,1,5]=>[2,7,6,3,4,1,5]=>{{1,2,7},{3,6},{4},{5}}=>{{1,6,7},{2,5},{3},{4}}
[2,7,3,6,4,5,1]=>[7,2,6,3,4,1,5]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,7},{2,5},{3},{4},{6}}
[2,7,3,6,5,1,4]=>[2,7,6,1,5,3,4]=>{{1,2,7},{3,6},{4},{5}}=>{{1,6,7},{2,5},{3},{4}}
[2,7,3,6,5,4,1]=>[7,6,5,2,3,1,4]=>{{1,7},{2,6},{3,5},{4}}=>{{1,7},{2,6},{3,5},{4}}
[2,7,4,1,3,5,6]=>[2,4,5,7,6,1,3]=>{{1,2,4,7},{3,5,6}}=>{{1,4,6,7},{2,3,5}}
[2,7,4,1,3,6,5]=>[2,1,4,7,6,3,5]=>{{1,2},{3,4,7},{5,6}}=>{{1,4,5},{2,3},{6,7}}
[2,7,4,1,5,3,6]=>[2,4,1,7,5,3,6]=>{{1,2,4,7},{3},{5},{6}}=>{{1,4,6,7},{2},{3},{5}}
[2,7,4,1,5,6,3]=>[2,1,4,7,5,3,6]=>{{1,2},{3,4,7},{5},{6}}=>{{1,4,5},{2},{3},{6,7}}
[2,7,4,1,6,3,5]=>[2,4,1,7,6,3,5]=>{{1,2,4,7},{3},{5,6}}=>{{1,4,6,7},{2,3},{5}}
[2,7,4,1,6,5,3]=>[7,2,1,6,4,3,5]=>{{1,7},{2},{3},{4,6},{5}}=>{{1,7},{2,4},{3},{5},{6}}
[2,7,4,3,1,5,6]=>[2,4,7,5,3,1,6]=>{{1,2,4,5},{3,7},{6}}=>{{1,5},{2},{3,4,6,7}}
[2,7,4,3,1,6,5]=>[4,2,7,6,3,1,5]=>{{1,4,6},{2},{3,7},{5}}=>{{1,5},{2,4,7},{3},{6}}
[2,7,4,3,5,1,6]=>[2,7,4,5,3,1,6]=>{{1,2,7},{3,4,5},{6}}=>{{1,6,7},{2},{3,4,5}}
[2,7,4,3,5,6,1]=>[7,2,4,5,3,1,6]=>{{1,7},{2},{3,4,5},{6}}=>{{1,7},{2},{3,4,5},{6}}
[2,7,4,3,6,1,5]=>[4,7,2,6,3,1,5]=>{{1,4,6},{2,7},{3},{5}}=>{{1,6},{2,4,7},{3},{5}}
[2,7,4,3,6,5,1]=>[7,4,2,6,3,1,5]=>{{1,7},{2,4,6},{3},{5}}=>{{1,7},{2,4,6},{3},{5}}
[2,7,4,5,1,3,6]=>[2,4,7,1,5,3,6]=>{{1,2,4},{3,7},{5},{6}}=>{{1,5},{2},{3},{4,6,7}}
[2,7,4,5,1,6,3]=>[2,1,7,4,5,3,6]=>{{1,2},{3,7},{4},{5},{6}}=>{{1,5},{2},{3},{4},{6,7}}
[2,7,4,5,3,1,6]=>[2,7,4,3,5,1,6]=>{{1,2,7},{3,4},{5},{6}}=>{{1,6,7},{2},{3},{4,5}}
[2,7,4,5,3,6,1]=>[7,2,4,3,5,1,6]=>{{1,7},{2},{3,4},{5},{6}}=>{{1,7},{2},{3},{4,5},{6}}
[2,7,4,5,6,1,3]=>[2,7,1,4,5,3,6]=>{{1,2,7},{3},{4},{5},{6}}=>{{1,6,7},{2},{3},{4},{5}}
[2,7,4,5,6,3,1]=>[7,4,2,3,5,1,6]=>{{1,7},{2,4},{3},{5},{6}}=>{{1,7},{2},{3},{4,6},{5}}
[2,7,4,6,1,3,5]=>[2,4,7,1,6,3,5]=>{{1,2,4},{3,7},{5,6}}=>{{1,5},{2,3},{4,6,7}}
[2,7,4,6,1,5,3]=>[7,2,6,1,4,3,5]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,7},{2,5},{3},{4},{6}}
[2,7,4,6,3,1,5]=>[4,7,6,2,3,1,5]=>{{1,4},{2,7},{3,6},{5}}=>{{1,6},{2,5},{3},{4,7}}
[2,7,4,6,3,5,1]=>[7,4,6,2,3,1,5]=>{{1,7},{2,4},{3,6},{5}}=>{{1,7},{2,5},{3},{4,6}}
[2,7,4,6,5,1,3]=>[2,7,6,1,4,3,5]=>{{1,2,7},{3,6},{4},{5}}=>{{1,6,7},{2,5},{3},{4}}
[2,7,4,6,5,3,1]=>[7,6,4,2,3,1,5]=>{{1,7},{2,6},{3,4},{5}}=>{{1,7},{2,6},{3},{4,5}}
[2,7,5,1,3,4,6]=>[2,3,5,7,6,1,4]=>{{1,2,3,5,6},{4,7}}=>{{1,4},{2,3,5,6,7}}
[2,7,5,1,3,6,4]=>[2,1,5,7,6,3,4]=>{{1,2},{3,5,6},{4,7}}=>{{1,4},{2,3,5},{6,7}}
[2,7,5,1,4,3,6]=>[2,7,5,6,4,1,3]=>{{1,2,7},{3,5},{4,6}}=>{{1,6,7},{2,4},{3,5}}
[2,7,5,1,4,6,3]=>[7,2,5,6,4,1,3]=>{{1,7},{2},{3,5},{4,6}}=>{{1,7},{2,4},{3,5},{6}}
[2,7,5,1,6,3,4]=>[2,5,1,7,6,3,4]=>{{1,2,5,6},{3},{4,7}}=>{{1,4},{2,3,6,7},{5}}
[2,7,5,1,6,4,3]=>[7,2,1,5,4,3,6]=>{{1,7},{2},{3},{4,5},{6}}=>{{1,7},{2},{3,4},{5},{6}}
[2,7,5,3,1,4,6]=>[2,3,7,5,4,1,6]=>{{1,2,3,7},{4,5},{6}}=>{{1,5,6,7},{2},{3,4}}
[2,7,5,3,1,6,4]=>[5,2,7,6,3,1,4]=>{{1,5},{2},{3,7},{4,6}}=>{{1,5},{2,4},{3,7},{6}}
[2,7,5,3,4,1,6]=>[2,7,3,5,4,1,6]=>{{1,2,7},{3},{4,5},{6}}=>{{1,6,7},{2},{3,4},{5}}
[2,7,5,3,4,6,1]=>[7,2,3,5,4,1,6]=>{{1,7},{2},{3},{4,5},{6}}=>{{1,7},{2},{3,4},{5},{6}}
[2,7,5,3,6,1,4]=>[5,7,2,6,3,1,4]=>{{1,5},{2,7},{3},{4,6}}=>{{1,6},{2,4},{3,7},{5}}
[2,7,5,3,6,4,1]=>[7,5,2,6,3,1,4]=>{{1,7},{2,5},{3},{4,6}}=>{{1,7},{2,4},{3,6},{5}}
[2,7,5,4,1,3,6]=>[2,5,7,6,4,1,3]=>{{1,2,5},{3,7},{4,6}}=>{{1,5},{2,4},{3,6,7}}
[2,7,5,4,1,6,3]=>[2,1,7,5,4,3,6]=>{{1,2},{3,7},{4,5},{6}}=>{{1,5},{2},{3,4},{6,7}}
[2,7,5,4,3,1,6]=>[2,7,5,4,3,1,6]=>{{1,2,7},{3,5},{4},{6}}=>{{1,6,7},{2},{3,5},{4}}
[2,7,5,4,3,6,1]=>[7,2,5,4,3,1,6]=>{{1,7},{2},{3,5},{4},{6}}=>{{1,7},{2},{3,5},{4},{6}}
[2,7,5,4,6,1,3]=>[2,7,1,5,4,3,6]=>{{1,2,7},{3},{4,5},{6}}=>{{1,6,7},{2},{3,4},{5}}
[2,7,5,4,6,3,1]=>[7,5,2,4,3,1,6]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,7},{2},{3,6},{4},{5}}
[2,7,5,6,1,3,4]=>[2,5,7,1,6,3,4]=>{{1,2,5,6},{3,7},{4}}=>{{1,5},{2,3,6,7},{4}}
[2,7,5,6,1,4,3]=>[7,2,5,1,4,3,6]=>{{1,7},{2},{3,5},{4},{6}}=>{{1,7},{2},{3,5},{4},{6}}
[2,7,5,6,3,1,4]=>[5,7,6,2,3,1,4]=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}
[2,7,5,6,3,4,1]=>[7,5,6,2,3,1,4]=>{{1,7},{2,5},{3,6},{4}}=>{{1,7},{2,5},{3,6},{4}}
[2,7,5,6,4,1,3]=>[2,7,5,1,4,3,6]=>{{1,2,7},{3,5},{4},{6}}=>{{1,6,7},{2},{3,5},{4}}
[2,7,5,6,4,3,1]=>[7,5,4,2,3,1,6]=>{{1,7},{2,5},{3,4},{6}}=>{{1,7},{2},{3,6},{4,5}}
[2,7,6,1,3,4,5]=>[2,3,4,7,6,1,5]=>{{1,2,3,4,7},{5,6}}=>{{1,4,5,6,7},{2,3}}
[2,7,6,1,3,5,4]=>[7,2,3,6,5,1,4]=>{{1,7},{2},{3},{4,6},{5}}=>{{1,7},{2,4},{3},{5},{6}}
[2,7,6,1,4,3,5]=>[2,7,4,6,5,1,3]=>{{1,2,7},{3,4,6},{5}}=>{{1,6,7},{2,4,5},{3}}
[2,7,6,1,4,5,3]=>[7,2,4,6,5,1,3]=>{{1,7},{2},{3,4,6},{5}}=>{{1,7},{2,4,5},{3},{6}}
[2,7,6,1,5,3,4]=>[2,7,3,6,5,1,4]=>{{1,2,7},{3},{4,6},{5}}=>{{1,6,7},{2,4},{3},{5}}
[2,7,6,1,5,4,3]=>[7,6,2,5,4,1,3]=>{{1,7},{2,6},{3},{4,5}}=>{{1,7},{2,6},{3,4},{5}}
[2,7,6,3,1,4,5]=>[2,3,7,6,4,1,5]=>{{1,2,3,7},{4,6},{5}}=>{{1,5,6,7},{2,4},{3}}
[2,7,6,3,1,5,4]=>[2,1,7,6,5,3,4]=>{{1,2},{3,7},{4,6},{5}}=>{{1,5},{2,4},{3},{6,7}}
[2,7,6,3,4,1,5]=>[2,7,3,6,4,1,5]=>{{1,2,7},{3},{4,6},{5}}=>{{1,6,7},{2,4},{3},{5}}
[2,7,6,3,4,5,1]=>[7,2,3,6,4,1,5]=>{{1,7},{2},{3},{4,6},{5}}=>{{1,7},{2,4},{3},{5},{6}}
[2,7,6,3,5,1,4]=>[2,7,1,6,5,3,4]=>{{1,2,7},{3},{4,6},{5}}=>{{1,6,7},{2,4},{3},{5}}
[2,7,6,3,5,4,1]=>[7,6,2,5,3,1,4]=>{{1,7},{2,6},{3},{4,5}}=>{{1,7},{2,6},{3,4},{5}}
[2,7,6,4,1,3,5]=>[2,4,7,6,5,1,3]=>{{1,2,4,6},{3,7},{5}}=>{{1,5},{2,4,6,7},{3}}
[2,7,6,4,1,5,3]=>[2,1,7,6,4,3,5]=>{{1,2},{3,7},{4,6},{5}}=>{{1,5},{2,4},{3},{6,7}}
[2,7,6,4,3,1,5]=>[2,7,6,4,3,1,5]=>{{1,2,7},{3,6},{4},{5}}=>{{1,6,7},{2,5},{3},{4}}
[2,7,6,4,3,5,1]=>[7,2,6,4,3,1,5]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,7},{2,5},{3},{4},{6}}
[2,7,6,4,5,1,3]=>[2,7,1,6,4,3,5]=>{{1,2,7},{3},{4,6},{5}}=>{{1,6,7},{2,4},{3},{5}}
[2,7,6,4,5,3,1]=>[7,6,2,4,3,1,5]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[2,7,6,5,1,3,4]=>[2,3,7,6,5,1,4]=>{{1,2,3,7},{4,6},{5}}=>{{1,5,6,7},{2,4},{3}}
[2,7,6,5,1,4,3]=>[7,2,6,5,4,1,3]=>{{1,7},{2},{3,6},{4,5}}=>{{1,7},{2,5},{3,4},{6}}
[2,7,6,5,3,1,4]=>[2,7,6,5,3,1,4]=>{{1,2,7},{3,6},{4,5}}=>{{1,6,7},{2,5},{3,4}}
[2,7,6,5,3,4,1]=>[7,2,6,5,3,1,4]=>{{1,7},{2},{3,6},{4,5}}=>{{1,7},{2,5},{3,4},{6}}
[2,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>{{1,2,7},{3,6},{4,5}}=>{{1,6,7},{2,5},{3,4}}
[2,7,6,5,4,3,1]=>[7,6,5,4,2,1,3]=>{{1,7},{2,6},{3,5},{4}}=>{{1,7},{2,6},{3,5},{4}}
[3,1,2,4,5,6,7]=>[1,3,4,5,6,7,2]=>{{1},{2,3,4,5,6,7}}=>{{1,2,3,4,5,6},{7}}
[3,1,2,4,5,7,6]=>[3,1,2,4,5,7,6]=>{{1,3},{2},{4},{5},{6,7}}=>{{1,2},{3},{4},{5,7},{6}}
[3,1,2,4,6,5,7]=>[1,3,2,4,6,7,5]=>{{1},{2,3},{4},{5,6,7}}=>{{1,2,3},{4},{5,6},{7}}
[3,1,2,4,6,7,5]=>[3,1,2,4,6,7,5]=>{{1,3},{2},{4},{5,6,7}}=>{{1,2,3},{4},{5,7},{6}}
[3,1,2,4,7,5,6]=>[1,3,2,4,5,7,6]=>{{1},{2,3},{4},{5},{6,7}}=>{{1,2},{3},{4},{5,6},{7}}
[3,1,2,4,7,6,5]=>[7,3,1,2,4,6,5]=>{{1,7},{2,3},{4},{5},{6}}=>{{1,7},{2},{3},{4},{5,6}}
[3,1,2,5,4,6,7]=>[1,3,5,2,6,7,4]=>{{1},{2,3,5,6,7},{4}}=>{{1,2,3,5,6},{4},{7}}
[3,1,2,5,4,7,6]=>[3,1,5,2,4,7,6]=>{{1,3,5},{2},{4},{6,7}}=>{{1,2},{3,5,7},{4},{6}}
[3,1,2,5,6,4,7]=>[1,3,2,5,6,7,4]=>{{1},{2,3},{4,5,6,7}}=>{{1,2,3,4},{5,6},{7}}
[3,1,2,5,6,7,4]=>[3,1,2,5,6,7,4]=>{{1,3},{2},{4,5,6,7}}=>{{1,2,3,4},{5,7},{6}}
[3,1,2,5,7,4,6]=>[3,5,1,2,4,7,6]=>{{1,3},{2,5},{4},{6,7}}=>{{1,2},{3,6},{4},{5,7}}
[3,1,2,5,7,6,4]=>[7,3,1,2,5,6,4]=>{{1,7},{2,3},{4},{5},{6}}=>{{1,7},{2},{3},{4},{5,6}}
[3,1,2,6,4,5,7]=>[1,3,4,2,6,7,5]=>{{1},{2,3,4},{5,6,7}}=>{{1,2,3},{4,5,6},{7}}
[3,1,2,6,4,7,5]=>[3,1,6,2,4,7,5]=>{{1,3,6,7},{2},{4},{5}}=>{{1,2,5,7},{3},{4},{6}}
[3,1,2,6,5,4,7]=>[1,6,3,2,5,7,4]=>{{1},{2,6,7},{3},{4},{5}}=>{{1,2,6},{3},{4},{5},{7}}
[3,1,2,6,5,7,4]=>[6,1,3,2,5,7,4]=>{{1,6,7},{2},{3},{4},{5}}=>{{1,2,7},{3},{4},{5},{6}}
[3,1,2,6,7,4,5]=>[3,6,1,2,4,7,5]=>{{1,3},{2,6,7},{4},{5}}=>{{1,2,6},{3},{4},{5,7}}
[3,1,2,6,7,5,4]=>[6,3,1,2,5,7,4]=>{{1,6,7},{2,3},{4},{5}}=>{{1,2,7},{3},{4},{5,6}}
[3,1,2,7,4,5,6]=>[1,3,4,2,5,7,6]=>{{1},{2,3,4},{5},{6,7}}=>{{1,2},{3},{4,5,6},{7}}
[3,1,2,7,4,6,5]=>[7,1,3,2,4,6,5]=>{{1,7},{2},{3},{4},{5},{6}}=>{{1,7},{2},{3},{4},{5},{6}}
[3,1,2,7,5,4,6]=>[1,7,3,2,5,6,4]=>{{1},{2,7},{3},{4},{5},{6}}=>{{1,6},{2},{3},{4},{5},{7}}
[3,1,2,7,5,6,4]=>[7,1,3,2,5,6,4]=>{{1,7},{2},{3},{4},{5},{6}}=>{{1,7},{2},{3},{4},{5},{6}}
[3,1,2,7,6,4,5]=>[1,7,3,2,4,6,5]=>{{1},{2,7},{3},{4},{5},{6}}=>{{1,6},{2},{3},{4},{5},{7}}
[3,1,2,7,6,5,4]=>[7,6,3,1,2,5,4]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[3,1,4,2,5,6,7]=>[3,4,5,6,1,7,2]=>{{1,3,5},{2,4,6,7}}=>{{1,2,4,6},{3,5,7}}
[3,1,4,2,5,7,6]=>[3,1,4,5,2,7,6]=>{{1,3,4,5},{2},{6,7}}=>{{1,2},{3,4,5,7},{6}}
[3,1,4,2,6,5,7]=>[3,4,1,6,2,7,5]=>{{1,3},{2,4,6,7},{5}}=>{{1,2,4,6},{3},{5,7}}
[3,1,4,2,6,7,5]=>[3,1,4,6,2,7,5]=>{{1,3,4,6,7},{2},{5}}=>{{1,2,4,5,7},{3},{6}}
[3,1,4,2,7,5,6]=>[3,4,1,5,2,7,6]=>{{1,3},{2,4,5},{6,7}}=>{{1,2},{3,4,6},{5,7}}
[3,1,4,2,7,6,5]=>[7,3,1,4,2,6,5]=>{{1,7},{2,3},{4},{5},{6}}=>{{1,7},{2},{3},{4},{5,6}}
[3,1,4,5,2,6,7]=>[3,4,5,1,6,7,2]=>{{1,3,5,6,7},{2,4}}=>{{1,2,3,5,7},{4,6}}
[3,1,4,5,2,7,6]=>[3,1,4,2,5,7,6]=>{{1,3,4},{2},{5},{6,7}}=>{{1,2},{3},{4,5,7},{6}}
[3,1,4,5,6,2,7]=>[3,4,1,5,6,7,2]=>{{1,3},{2,4,5,6,7}}=>{{1,2,3,4,6},{5,7}}
[3,1,4,5,6,7,2]=>[3,1,4,5,6,7,2]=>{{1,3,4,5,6,7},{2}}=>{{1,2,3,4,5,7},{6}}
[3,1,4,5,7,2,6]=>[3,4,1,2,5,7,6]=>{{1,3},{2,4},{5},{6,7}}=>{{1,2},{3},{4,6},{5,7}}
[3,1,4,5,7,6,2]=>[7,3,1,4,5,6,2]=>{{1,7},{2,3},{4},{5},{6}}=>{{1,7},{2},{3},{4},{5,6}}
[3,1,4,6,2,5,7]=>[3,4,6,1,2,7,5]=>{{1,3,6,7},{2,4},{5}}=>{{1,2,5,7},{3},{4,6}}
[3,1,4,6,2,7,5]=>[3,1,4,2,6,7,5]=>{{1,3,4},{2},{5,6,7}}=>{{1,2,3},{4,5,7},{6}}
[3,1,4,6,5,2,7]=>[3,6,4,1,5,7,2]=>{{1,3,4},{2,6,7},{5}}=>{{1,2,6},{3},{4,5,7}}
[3,1,4,6,5,7,2]=>[6,3,4,1,5,7,2]=>{{1,6,7},{2,3,4},{5}}=>{{1,2,7},{3},{4,5,6}}
[3,1,4,6,7,2,5]=>[3,4,1,2,6,7,5]=>{{1,3},{2,4},{5,6,7}}=>{{1,2,3},{4,6},{5,7}}
[3,1,4,6,7,5,2]=>[6,3,1,4,5,7,2]=>{{1,6,7},{2,3},{4},{5}}=>{{1,2,7},{3},{4},{5,6}}
[3,1,4,7,2,5,6]=>[3,4,5,1,2,7,6]=>{{1,3,5},{2,4},{6,7}}=>{{1,2},{3,5,7},{4,6}}
[3,1,4,7,2,6,5]=>[7,3,4,1,2,6,5]=>{{1,7},{2,3,4},{5},{6}}=>{{1,7},{2},{3},{4,5,6}}
[3,1,4,7,5,2,6]=>[3,7,4,1,5,6,2]=>{{1,3,4},{2,7},{5},{6}}=>{{1,6},{2},{3},{4,5,7}}
[3,1,4,7,5,6,2]=>[7,3,4,1,5,6,2]=>{{1,7},{2,3,4},{5},{6}}=>{{1,7},{2},{3},{4,5,6}}
[3,1,4,7,6,2,5]=>[3,7,4,1,2,6,5]=>{{1,3,4},{2,7},{5},{6}}=>{{1,6},{2},{3},{4,5,7}}
[3,1,4,7,6,5,2]=>[7,6,3,1,4,5,2]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[3,1,5,2,4,6,7]=>[1,3,5,6,2,7,4]=>{{1},{2,3,5},{4,6,7}}=>{{1,2,4},{3,5,6},{7}}
[3,1,5,2,4,7,6]=>[3,1,2,5,4,7,6]=>{{1,3},{2},{4,5},{6,7}}=>{{1,2},{3,4},{5,7},{6}}
[3,1,5,2,6,4,7]=>[3,5,1,6,2,7,4]=>{{1,3},{2,5},{4,6,7}}=>{{1,2,4},{3,6},{5,7}}
[3,1,5,2,6,7,4]=>[3,1,5,6,2,7,4]=>{{1,3,5},{2},{4,6,7}}=>{{1,2,4},{3,5,7},{6}}
[3,1,5,2,7,4,6]=>[1,3,2,5,4,7,6]=>{{1},{2,3},{4,5},{6,7}}=>{{1,2},{3,4},{5,6},{7}}
[3,1,5,2,7,6,4]=>[7,3,1,5,2,6,4]=>{{1,7},{2,3},{4,5},{6}}=>{{1,7},{2},{3,4},{5,6}}
[3,1,5,4,2,6,7]=>[3,5,6,4,1,7,2]=>{{1,3,6,7},{2,5},{4}}=>{{1,2,5,7},{3,6},{4}}
[3,1,5,4,2,7,6]=>[3,1,5,4,2,7,6]=>{{1,3,5},{2},{4},{6,7}}=>{{1,2},{3,5,7},{4},{6}}
[3,1,5,4,6,2,7]=>[3,5,4,6,1,7,2]=>{{1,3,4,6,7},{2,5}}=>{{1,2,4,5,7},{3,6}}
[3,1,5,4,6,7,2]=>[5,3,4,6,1,7,2]=>{{1,5},{2,3,4,6,7}}=>{{1,2,4,5,6},{3,7}}
[3,1,5,4,7,2,6]=>[3,5,1,4,2,7,6]=>{{1,3},{2,5},{4},{6,7}}=>{{1,2},{3,6},{4},{5,7}}
[3,1,5,4,7,6,2]=>[5,3,1,4,2,7,6]=>{{1,5},{2,3},{4},{6,7}}=>{{1,2},{3,7},{4},{5,6}}
[3,1,5,6,2,4,7]=>[3,5,6,1,2,7,4]=>{{1,3,6,7},{2,5},{4}}=>{{1,2,5,7},{3,6},{4}}
[3,1,5,6,2,7,4]=>[3,1,5,2,6,7,4]=>{{1,3,5,6,7},{2},{4}}=>{{1,2,3,5,7},{4},{6}}
[3,1,5,6,4,2,7]=>[3,5,4,1,6,7,2]=>{{1,3,4},{2,5,6,7}}=>{{1,2,3,6},{4,5,7}}
[3,1,5,6,4,7,2]=>[5,3,4,1,6,7,2]=>{{1,5,6,7},{2,3,4}}=>{{1,2,3,7},{4,5,6}}
[3,1,5,6,7,2,4]=>[3,5,1,2,6,7,4]=>{{1,3},{2,5,6,7},{4}}=>{{1,2,3,6},{4},{5,7}}
[3,1,5,6,7,4,2]=>[5,3,1,4,6,7,2]=>{{1,5,6,7},{2,3},{4}}=>{{1,2,3,7},{4},{5,6}}
[3,1,5,7,2,4,6]=>[1,3,5,2,4,7,6]=>{{1},{2,3,5},{4},{6,7}}=>{{1,2},{3,5,6},{4},{7}}
[3,1,5,7,2,6,4]=>[7,3,5,1,2,6,4]=>{{1,7},{2,3,5},{4},{6}}=>{{1,7},{2},{3,5,6},{4}}
[3,1,5,7,4,2,6]=>[3,5,4,1,2,7,6]=>{{1,3,4},{2,5},{6,7}}=>{{1,2},{3,6},{4,5,7}}
[3,1,5,7,4,6,2]=>[5,3,4,1,2,7,6]=>{{1,5},{2,3,4},{6,7}}=>{{1,2},{3,7},{4,5,6}}
[3,1,5,7,6,2,4]=>[3,7,5,1,2,6,4]=>{{1,3,5},{2,7},{4},{6}}=>{{1,6},{2},{3,5,7},{4}}
[3,1,5,7,6,4,2]=>[7,5,3,1,4,6,2]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,7},{2},{3,6},{4},{5}}
[3,1,6,2,4,5,7]=>[1,3,4,6,2,7,5]=>{{1},{2,3,4,6,7},{5}}=>{{1,2,4,5,6},{3},{7}}
[3,1,6,2,4,7,5]=>[3,1,2,6,4,7,5]=>{{1,3},{2},{4,6,7},{5}}=>{{1,2,4},{3},{5,7},{6}}
[3,1,6,2,5,4,7]=>[1,6,3,5,2,7,4]=>{{1},{2,6,7},{3},{4,5}}=>{{1,2,6},{3,4},{5},{7}}
[3,1,6,2,5,7,4]=>[6,1,3,5,2,7,4]=>{{1,6,7},{2},{3},{4,5}}=>{{1,2,7},{3,4},{5},{6}}
[3,1,6,2,7,4,5]=>[1,3,2,6,4,7,5]=>{{1},{2,3},{4,6,7},{5}}=>{{1,2,4},{3},{5,6},{7}}
[3,1,6,2,7,5,4]=>[6,3,1,5,2,7,4]=>{{1,6,7},{2,3},{4,5}}=>{{1,2,7},{3,4},{5,6}}
[3,1,6,4,2,5,7]=>[3,4,6,5,1,7,2]=>{{1,3,6,7},{2,4,5}}=>{{1,2,5,7},{3,4,6}}
[3,1,6,4,2,7,5]=>[3,1,6,4,2,7,5]=>{{1,3,6,7},{2},{4},{5}}=>{{1,2,5,7},{3},{4},{6}}
[3,1,6,4,5,2,7]=>[3,6,4,5,1,7,2]=>{{1,3,4,5},{2,6,7}}=>{{1,2,6},{3,4,5,7}}
[3,1,6,4,5,7,2]=>[6,3,4,5,1,7,2]=>{{1,6,7},{2,3,4,5}}=>{{1,2,7},{3,4,5,6}}
[3,1,6,4,7,2,5]=>[3,6,1,4,2,7,5]=>{{1,3},{2,6,7},{4},{5}}=>{{1,2,6},{3},{4},{5,7}}
[3,1,6,4,7,5,2]=>[6,3,1,4,2,7,5]=>{{1,6,7},{2,3},{4},{5}}=>{{1,2,7},{3},{4},{5,6}}
[3,1,6,5,2,4,7]=>[1,3,6,5,2,7,4]=>{{1},{2,3,6,7},{4,5}}=>{{1,2,5,6},{3,4},{7}}
[3,1,6,5,2,7,4]=>[3,1,6,5,2,7,4]=>{{1,3,6,7},{2},{4,5}}=>{{1,2,5,7},{3,4},{6}}
[3,1,6,5,4,2,7]=>[3,6,5,4,1,7,2]=>{{1,3,5},{2,6,7},{4}}=>{{1,2,6},{3,5,7},{4}}
[3,1,6,5,4,7,2]=>[6,3,5,4,1,7,2]=>{{1,6,7},{2,3,5},{4}}=>{{1,2,7},{3,5,6},{4}}
[3,1,6,5,7,2,4]=>[3,6,1,5,2,7,4]=>{{1,3},{2,6,7},{4,5}}=>{{1,2,6},{3,4},{5,7}}
[3,1,6,5,7,4,2]=>[6,5,3,4,1,7,2]=>{{1,6,7},{2,5},{3},{4}}=>{{1,2,7},{3,6},{4},{5}}
[3,1,6,7,2,4,5]=>[1,3,6,2,4,7,5]=>{{1},{2,3,6,7},{4},{5}}=>{{1,2,5,6},{3},{4},{7}}
[3,1,6,7,2,5,4]=>[6,3,5,1,2,7,4]=>{{1,6,7},{2,3,5},{4}}=>{{1,2,7},{3,5,6},{4}}
[3,1,6,7,4,2,5]=>[3,6,4,1,2,7,5]=>{{1,3,4},{2,6,7},{5}}=>{{1,2,6},{3},{4,5,7}}
[3,1,6,7,4,5,2]=>[6,3,4,1,2,7,5]=>{{1,6,7},{2,3,4},{5}}=>{{1,2,7},{3},{4,5,6}}
[3,1,6,7,5,2,4]=>[3,6,5,1,2,7,4]=>{{1,3,5},{2,6,7},{4}}=>{{1,2,6},{3,5,7},{4}}
[3,1,6,7,5,4,2]=>[6,5,3,1,4,7,2]=>{{1,6,7},{2,5},{3},{4}}=>{{1,2,7},{3,6},{4},{5}}
[3,1,7,2,4,5,6]=>[1,3,4,5,2,7,6]=>{{1},{2,3,4,5},{6,7}}=>{{1,2},{3,4,5,6},{7}}
[3,1,7,2,4,6,5]=>[7,1,3,4,2,6,5]=>{{1,7},{2},{3},{4},{5},{6}}=>{{1,7},{2},{3},{4},{5},{6}}
[3,1,7,2,5,4,6]=>[1,7,3,5,2,6,4]=>{{1},{2,7},{3},{4,5},{6}}=>{{1,6},{2},{3,4},{5},{7}}
[3,1,7,2,5,6,4]=>[7,1,3,5,2,6,4]=>{{1,7},{2},{3},{4,5},{6}}=>{{1,7},{2},{3,4},{5},{6}}
[3,1,7,2,6,4,5]=>[1,7,3,4,2,6,5]=>{{1},{2,7},{3},{4},{5},{6}}=>{{1,6},{2},{3},{4},{5},{7}}
[3,1,7,2,6,5,4]=>[7,6,1,3,2,5,4]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[3,1,7,4,2,5,6]=>[3,4,7,5,1,6,2]=>{{1,3,7},{2,4,5},{6}}=>{{1,5,7},{2},{3,4,6}}
[3,1,7,4,2,6,5]=>[3,1,7,4,2,6,5]=>{{1,3,7},{2},{4},{5},{6}}=>{{1,5,7},{2},{3},{4},{6}}
[3,1,7,4,5,2,6]=>[3,7,4,5,1,6,2]=>{{1,3,4,5},{2,7},{6}}=>{{1,6},{2},{3,4,5,7}}
[3,1,7,4,5,6,2]=>[7,3,4,5,1,6,2]=>{{1,7},{2,3,4,5},{6}}=>{{1,7},{2},{3,4,5,6}}
[3,1,7,4,6,2,5]=>[3,7,1,4,2,6,5]=>{{1,3},{2,7},{4},{5},{6}}=>{{1,6},{2},{3},{4},{5,7}}
[3,1,7,4,6,5,2]=>[7,6,3,4,1,5,2]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[3,1,7,5,2,4,6]=>[1,3,7,5,2,6,4]=>{{1},{2,3,7},{4,5},{6}}=>{{1,5,6},{2},{3,4},{7}}
[3,1,7,5,2,6,4]=>[3,1,7,5,2,6,4]=>{{1,3,7},{2},{4,5},{6}}=>{{1,5,7},{2},{3,4},{6}}
[3,1,7,5,4,2,6]=>[3,7,5,4,1,6,2]=>{{1,3,5},{2,7},{4},{6}}=>{{1,6},{2},{3,5,7},{4}}
[3,1,7,5,4,6,2]=>[7,3,5,4,1,6,2]=>{{1,7},{2,3,5},{4},{6}}=>{{1,7},{2},{3,5,6},{4}}
[3,1,7,5,6,2,4]=>[3,7,1,5,2,6,4]=>{{1,3},{2,7},{4,5},{6}}=>{{1,6},{2},{3,4},{5,7}}
[3,1,7,5,6,4,2]=>[7,5,3,4,1,6,2]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,7},{2},{3,6},{4},{5}}
[3,1,7,6,2,4,5]=>[1,3,7,4,2,6,5]=>{{1},{2,3,7},{4},{5},{6}}=>{{1,5,6},{2},{3},{4},{7}}
[3,1,7,6,2,5,4]=>[7,1,6,3,2,5,4]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,7},{2,5},{3},{4},{6}}
[3,1,7,6,4,2,5]=>[3,7,6,4,1,5,2]=>{{1,3,6},{2,7},{4},{5}}=>{{1,6},{2,5,7},{3},{4}}
[3,1,7,6,4,5,2]=>[7,3,6,4,1,5,2]=>{{1,7},{2,3,6},{4},{5}}=>{{1,7},{2,5,6},{3},{4}}
[3,1,7,6,5,2,4]=>[1,7,6,3,2,5,4]=>{{1},{2,7},{3,6},{4},{5}}=>{{1,6},{2,5},{3},{4},{7}}
[3,1,7,6,5,4,2]=>[7,6,5,3,1,4,2]=>{{1,7},{2,6},{3,5},{4}}=>{{1,7},{2,6},{3,5},{4}}
[3,2,1,4,5,6,7]=>[3,4,5,6,7,2,1]=>{{1,3,5,7},{2,4,6}}=>{{1,3,5,7},{2,4,6}}
[3,2,1,4,5,7,6]=>[3,2,4,5,7,6,1]=>{{1,3,4,5,7},{2},{6}}=>{{1,3,4,5,7},{2},{6}}
[3,2,1,4,6,5,7]=>[3,4,2,6,7,5,1]=>{{1,3},{2,4,6},{5,7}}=>{{1,3},{2,4,6},{5,7}}
[3,2,1,4,6,7,5]=>[3,2,4,6,7,5,1]=>{{1,3,4,6},{2},{5,7}}=>{{1,3},{2,4,5,7},{6}}
[3,2,1,4,7,5,6]=>[3,4,2,5,7,6,1]=>{{1,3},{2,4,5,7},{6}}=>{{1,3,4,6},{2},{5,7}}
[3,2,1,4,7,6,5]=>[3,2,1,4,7,6,5]=>{{1,3},{2},{4},{5,7},{6}}=>{{1,3},{2},{4},{5,7},{6}}
[3,2,1,5,4,6,7]=>[3,5,6,2,7,4,1]=>{{1,3,6},{2,5,7},{4}}=>{{1,3,6},{2,5,7},{4}}
[3,2,1,5,4,7,6]=>[3,2,5,4,7,6,1]=>{{1,3,5,7},{2},{4},{6}}=>{{1,3,5,7},{2},{4},{6}}
[3,2,1,5,6,4,7]=>[3,5,2,6,7,4,1]=>{{1,3},{2,5,7},{4,6}}=>{{1,3,6},{2,4},{5,7}}
[3,2,1,5,6,7,4]=>[3,2,5,6,7,4,1]=>{{1,3,5,7},{2},{4,6}}=>{{1,3,5,7},{2,4},{6}}
[3,2,1,5,7,4,6]=>[3,5,2,4,7,6,1]=>{{1,3},{2,5,7},{4},{6}}=>{{1,3,6},{2},{4},{5,7}}
[3,2,1,5,7,6,4]=>[3,2,1,5,7,6,4]=>{{1,3},{2},{4,5,7},{6}}=>{{1,3,4},{2},{5,7},{6}}
[3,2,1,6,4,5,7]=>[3,4,6,2,7,5,1]=>{{1,3,6},{2,4},{5,7}}=>{{1,3},{2,5,7},{4,6}}
[3,2,1,6,4,7,5]=>[3,2,6,4,7,5,1]=>{{1,3,6},{2},{4},{5,7}}=>{{1,3},{2,5,7},{4},{6}}
[3,2,1,6,5,4,7]=>[3,6,2,1,7,5,4]=>{{1,3},{2,6},{4},{5,7}}=>{{1,3},{2,6},{4},{5,7}}
[3,2,1,6,5,7,4]=>[3,2,6,1,7,5,4]=>{{1,3,6},{2},{4},{5,7}}=>{{1,3},{2,5,7},{4},{6}}
[3,2,1,6,7,4,5]=>[3,6,2,4,7,5,1]=>{{1,3},{2,6},{4},{5,7}}=>{{1,3},{2,6},{4},{5,7}}
[3,2,1,6,7,5,4]=>[3,2,1,6,7,5,4]=>{{1,3},{2},{4,6},{5,7}}=>{{1,3},{2,4},{5,7},{6}}
[3,2,1,7,4,5,6]=>[3,4,5,2,7,6,1]=>{{1,3,5,7},{2,4},{6}}=>{{1,3,5,7},{2},{4,6}}
[3,2,1,7,4,6,5]=>[3,2,4,1,7,6,5]=>{{1,3,4},{2},{5,7},{6}}=>{{1,3},{2},{4,5,7},{6}}
[3,2,1,7,5,4,6]=>[3,5,2,1,7,6,4]=>{{1,3},{2,5,7},{4},{6}}=>{{1,3,6},{2},{4},{5,7}}
[3,2,1,7,5,6,4]=>[3,2,5,1,7,6,4]=>{{1,3,5,7},{2},{4},{6}}=>{{1,3,5,7},{2},{4},{6}}
[3,2,1,7,6,4,5]=>[3,4,2,1,7,6,5]=>{{1,3},{2,4},{5,7},{6}}=>{{1,3},{2},{4,6},{5,7}}
[3,2,1,7,6,5,4]=>[7,3,2,1,6,5,4]=>{{1,7},{2,3},{4},{5,6}}=>{{1,7},{2,3},{4},{5,6}}
[3,2,4,1,5,6,7]=>[3,4,5,6,2,7,1]=>{{1,3,5},{2,4,6,7}}=>{{1,2,4,6},{3,5,7}}
[3,2,4,1,5,7,6]=>[3,2,4,7,5,6,1]=>{{1,3,4,7},{2},{5},{6}}=>{{1,4,5,7},{2},{3},{6}}
[3,2,4,1,6,5,7]=>[3,4,2,6,5,7,1]=>{{1,3},{2,4,6,7},{5}}=>{{1,2,4,6},{3},{5,7}}
[3,2,4,1,6,7,5]=>[3,2,4,6,5,7,1]=>{{1,3,4,6,7},{2},{5}}=>{{1,2,4,5,7},{3},{6}}
[3,2,4,1,7,5,6]=>[3,4,2,7,5,6,1]=>{{1,3},{2,4,7},{5},{6}}=>{{1,4,6},{2},{3},{5,7}}
[3,2,4,1,7,6,5]=>[3,2,1,7,4,6,5]=>{{1,3},{2},{4,7},{5},{6}}=>{{1,4},{2},{3},{5,7},{6}}
[3,2,4,5,1,6,7]=>[3,4,5,2,6,7,1]=>{{1,3,5,6,7},{2,4}}=>{{1,2,3,5,7},{4,6}}
[3,2,4,5,1,7,6]=>[3,2,7,4,5,6,1]=>{{1,3,7},{2},{4},{5},{6}}=>{{1,5,7},{2},{3},{4},{6}}
[3,2,4,5,6,1,7]=>[3,4,2,5,6,7,1]=>{{1,3},{2,4,5,6,7}}=>{{1,2,3,4,6},{5,7}}
[3,2,4,5,6,7,1]=>[3,2,4,5,6,7,1]=>{{1,3,4,5,6,7},{2}}=>{{1,2,3,4,5,7},{6}}
[3,2,4,5,7,1,6]=>[3,7,2,4,5,6,1]=>{{1,3},{2,7},{4},{5},{6}}=>{{1,6},{2},{3},{4},{5,7}}
[3,2,4,5,7,6,1]=>[3,2,1,4,5,7,6]=>{{1,3},{2},{4},{5},{6,7}}=>{{1,2},{3},{4},{5,7},{6}}
[3,2,4,6,1,5,7]=>[3,4,6,2,5,7,1]=>{{1,3,6,7},{2,4},{5}}=>{{1,2,5,7},{3},{4,6}}
[3,2,4,6,1,7,5]=>[3,2,6,4,5,7,1]=>{{1,3,6,7},{2},{4},{5}}=>{{1,2,5,7},{3},{4},{6}}
[3,2,4,6,5,1,7]=>[3,4,2,1,6,7,5]=>{{1,3},{2,4},{5,6,7}}=>{{1,2,3},{4,6},{5,7}}
[3,2,4,6,5,7,1]=>[3,2,4,1,6,7,5]=>{{1,3,4},{2},{5,6,7}}=>{{1,2,3},{4,5,7},{6}}
[3,2,4,6,7,1,5]=>[3,6,2,4,5,7,1]=>{{1,3},{2,6,7},{4},{5}}=>{{1,2,6},{3},{4},{5,7}}
[3,2,4,6,7,5,1]=>[3,2,1,4,6,7,5]=>{{1,3},{2},{4},{5,6,7}}=>{{1,2,3},{4},{5,7},{6}}
[3,2,4,7,1,5,6]=>[3,4,7,2,5,6,1]=>{{1,3,7},{2,4},{5},{6}}=>{{1,5,7},{2},{3},{4,6}}
[3,2,4,7,1,6,5]=>[3,2,7,1,4,6,5]=>{{1,3,7},{2},{4},{5},{6}}=>{{1,5,7},{2},{3},{4},{6}}
[3,2,4,7,5,1,6]=>[3,4,2,1,5,7,6]=>{{1,3},{2,4},{5},{6,7}}=>{{1,2},{3},{4,6},{5,7}}
[3,2,4,7,5,6,1]=>[3,2,4,1,5,7,6]=>{{1,3,4},{2},{5},{6,7}}=>{{1,2},{3},{4,5,7},{6}}
[3,2,4,7,6,1,5]=>[3,7,2,1,4,6,5]=>{{1,3},{2,7},{4},{5},{6}}=>{{1,6},{2},{3},{4},{5,7}}
[3,2,4,7,6,5,1]=>[7,3,2,1,4,6,5]=>{{1,7},{2,3},{4},{5},{6}}=>{{1,7},{2},{3},{4},{5,6}}
[3,2,5,1,4,6,7]=>[3,5,6,7,2,4,1]=>{{1,3,6},{2,5},{4,7}}=>{{1,4},{2,5,7},{3,6}}
[3,2,5,1,4,7,6]=>[3,2,5,7,4,6,1]=>{{1,3,5},{2},{4,7},{6}}=>{{1,4},{2},{3,5,7},{6}}
[3,2,5,1,6,4,7]=>[3,5,2,6,4,7,1]=>{{1,3},{2,5},{4,6,7}}=>{{1,2,4},{3,6},{5,7}}
[3,2,5,1,6,7,4]=>[3,2,5,6,4,7,1]=>{{1,3,5},{2},{4,6,7}}=>{{1,2,4},{3,5,7},{6}}
[3,2,5,1,7,4,6]=>[3,5,2,7,4,6,1]=>{{1,3},{2,5},{4,7},{6}}=>{{1,4},{2},{3,6},{5,7}}
[3,2,5,1,7,6,4]=>[3,2,1,7,5,6,4]=>{{1,3},{2},{4,7},{5},{6}}=>{{1,4},{2},{3},{5,7},{6}}
[3,2,5,4,1,6,7]=>[3,5,6,2,1,7,4]=>{{1,3,6,7},{2,5},{4}}=>{{1,2,5,7},{3,6},{4}}
[3,2,5,4,1,7,6]=>[3,2,5,4,1,7,6]=>{{1,3,5},{2},{4},{6,7}}=>{{1,2},{3,5,7},{4},{6}}
[3,2,5,4,6,1,7]=>[3,5,2,6,1,7,4]=>{{1,3},{2,5},{4,6,7}}=>{{1,2,4},{3,6},{5,7}}
[3,2,5,4,6,7,1]=>[3,2,5,6,1,7,4]=>{{1,3,5},{2},{4,6,7}}=>{{1,2,4},{3,5,7},{6}}
[3,2,5,4,7,1,6]=>[3,5,2,4,1,7,6]=>{{1,3},{2,5},{4},{6,7}}=>{{1,2},{3,6},{4},{5,7}}
[3,2,5,4,7,6,1]=>[3,2,1,5,4,7,6]=>{{1,3},{2},{4,5},{6,7}}=>{{1,2},{3,4},{5,7},{6}}
[3,2,5,6,1,4,7]=>[3,5,6,2,4,7,1]=>{{1,3,6,7},{2,5},{4}}=>{{1,2,5,7},{3,6},{4}}
[3,2,5,6,1,7,4]=>[3,2,5,4,6,7,1]=>{{1,3,5,6,7},{2},{4}}=>{{1,2,3,5,7},{4},{6}}
[3,2,5,6,4,1,7]=>[3,5,2,1,6,7,4]=>{{1,3},{2,5,6,7},{4}}=>{{1,2,3,6},{4},{5,7}}
[3,2,5,6,4,7,1]=>[3,2,5,1,6,7,4]=>{{1,3,5,6,7},{2},{4}}=>{{1,2,3,5,7},{4},{6}}
[3,2,5,6,7,1,4]=>[3,5,2,4,6,7,1]=>{{1,3},{2,5,6,7},{4}}=>{{1,2,3,6},{4},{5,7}}
[3,2,5,6,7,4,1]=>[3,2,1,5,6,7,4]=>{{1,3},{2},{4,5,6,7}}=>{{1,2,3,4},{5,7},{6}}
[3,2,5,7,1,4,6]=>[3,5,7,2,4,6,1]=>{{1,3,7},{2,5},{4},{6}}=>{{1,5,7},{2},{3,6},{4}}
[3,2,5,7,1,6,4]=>[3,2,7,1,5,6,4]=>{{1,3,7},{2},{4},{5},{6}}=>{{1,5,7},{2},{3},{4},{6}}
[3,2,5,7,4,1,6]=>[3,5,2,1,4,7,6]=>{{1,3},{2,5},{4},{6,7}}=>{{1,2},{3,6},{4},{5,7}}
[3,2,5,7,4,6,1]=>[3,2,5,1,4,7,6]=>{{1,3,5},{2},{4},{6,7}}=>{{1,2},{3,5,7},{4},{6}}
[3,2,5,7,6,1,4]=>[3,7,2,1,5,6,4]=>{{1,3},{2,7},{4},{5},{6}}=>{{1,6},{2},{3},{4},{5,7}}
[3,2,5,7,6,4,1]=>[7,3,2,1,5,6,4]=>{{1,7},{2,3},{4},{5},{6}}=>{{1,7},{2},{3},{4},{5,6}}
[3,2,6,1,4,5,7]=>[3,4,6,7,2,5,1]=>{{1,3,6},{2,4,7},{5}}=>{{1,4,6},{2,5,7},{3}}
[3,2,6,1,4,7,5]=>[3,2,6,7,4,5,1]=>{{1,3,6},{2},{4,7},{5}}=>{{1,4},{2,5,7},{3},{6}}
[3,2,6,1,5,4,7]=>[3,6,2,7,1,5,4]=>{{1,3},{2,6},{4,7},{5}}=>{{1,4},{2,6},{3},{5,7}}
[3,2,6,1,5,7,4]=>[3,2,6,7,1,5,4]=>{{1,3,6},{2},{4,7},{5}}=>{{1,4},{2,5,7},{3},{6}}
[3,2,6,1,7,4,5]=>[3,6,2,7,4,5,1]=>{{1,3},{2,6},{4,7},{5}}=>{{1,4},{2,6},{3},{5,7}}
[3,2,6,1,7,5,4]=>[3,2,1,6,5,7,4]=>{{1,3},{2},{4,6,7},{5}}=>{{1,2,4},{3},{5,7},{6}}
[3,2,6,4,1,5,7]=>[3,4,6,2,1,7,5]=>{{1,3,6,7},{2,4},{5}}=>{{1,2,5,7},{3},{4,6}}
[3,2,6,4,1,7,5]=>[3,2,6,4,1,7,5]=>{{1,3,6,7},{2},{4},{5}}=>{{1,2,5,7},{3},{4},{6}}
[3,2,6,4,5,1,7]=>[3,4,2,6,1,7,5]=>{{1,3},{2,4,6,7},{5}}=>{{1,2,4,6},{3},{5,7}}
[3,2,6,4,5,7,1]=>[3,2,4,6,1,7,5]=>{{1,3,4,6,7},{2},{5}}=>{{1,2,4,5,7},{3},{6}}
[3,2,6,4,7,1,5]=>[3,6,2,4,1,7,5]=>{{1,3},{2,6,7},{4},{5}}=>{{1,2,6},{3},{4},{5,7}}
[3,2,6,4,7,5,1]=>[3,2,1,6,4,7,5]=>{{1,3},{2},{4,6,7},{5}}=>{{1,2,4},{3},{5,7},{6}}
[3,2,6,5,1,4,7]=>[3,6,7,2,1,5,4]=>{{1,3,7},{2,6},{4},{5}}=>{{1,5,7},{2,6},{3},{4}}
[3,2,6,5,1,7,4]=>[3,2,6,5,1,7,4]=>{{1,3,6,7},{2},{4,5}}=>{{1,2,5,7},{3,4},{6}}
[3,2,6,5,4,1,7]=>[3,6,5,2,1,7,4]=>{{1,3,5},{2,6,7},{4}}=>{{1,2,6},{3,5,7},{4}}
[3,2,6,5,4,7,1]=>[6,3,5,2,1,7,4]=>{{1,6,7},{2,3,5},{4}}=>{{1,2,7},{3,5,6},{4}}
[3,2,6,5,7,1,4]=>[3,6,2,5,1,7,4]=>{{1,3},{2,6,7},{4,5}}=>{{1,2,6},{3,4},{5,7}}
[3,2,6,5,7,4,1]=>[6,3,2,5,1,7,4]=>{{1,6,7},{2,3},{4,5}}=>{{1,2,7},{3,4},{5,6}}
[3,2,6,7,1,4,5]=>[3,6,7,2,4,5,1]=>{{1,3,7},{2,6},{4},{5}}=>{{1,5,7},{2,6},{3},{4}}
[3,2,6,7,1,5,4]=>[3,2,6,1,5,7,4]=>{{1,3,6,7},{2},{4},{5}}=>{{1,2,5,7},{3},{4},{6}}
[3,2,6,7,4,1,5]=>[3,6,2,1,4,7,5]=>{{1,3},{2,6,7},{4},{5}}=>{{1,2,6},{3},{4},{5,7}}
[3,2,6,7,4,5,1]=>[3,2,6,1,4,7,5]=>{{1,3,6,7},{2},{4},{5}}=>{{1,2,5,7},{3},{4},{6}}
[3,2,6,7,5,1,4]=>[3,6,2,1,5,7,4]=>{{1,3},{2,6,7},{4},{5}}=>{{1,2,6},{3},{4},{5,7}}
[3,2,6,7,5,4,1]=>[6,3,2,1,5,7,4]=>{{1,6,7},{2,3},{4},{5}}=>{{1,2,7},{3},{4},{5,6}}
[3,2,7,1,4,5,6]=>[3,4,5,7,2,6,1]=>{{1,3,5},{2,4,7},{6}}=>{{1,4,6},{2},{3,5,7}}
[3,2,7,1,4,6,5]=>[3,2,4,7,1,6,5]=>{{1,3,4,7},{2},{5},{6}}=>{{1,4,5,7},{2},{3},{6}}
[3,2,7,1,5,4,6]=>[3,5,2,7,1,6,4]=>{{1,3},{2,5},{4,7},{6}}=>{{1,4},{2},{3,6},{5,7}}
[3,2,7,1,5,6,4]=>[3,2,5,7,1,6,4]=>{{1,3,5},{2},{4,7},{6}}=>{{1,4},{2},{3,5,7},{6}}
[3,2,7,1,6,4,5]=>[3,4,2,7,1,6,5]=>{{1,3},{2,4,7},{5},{6}}=>{{1,4,6},{2},{3},{5,7}}
[3,2,7,1,6,5,4]=>[7,3,2,6,1,5,4]=>{{1,7},{2,3},{4,6},{5}}=>{{1,7},{2,4},{3},{5,6}}
[3,2,7,4,1,5,6]=>[3,4,5,2,1,7,6]=>{{1,3,5},{2,4},{6,7}}=>{{1,2},{3,5,7},{4,6}}
[3,2,7,4,1,6,5]=>[3,2,7,4,1,6,5]=>{{1,3,7},{2},{4},{5},{6}}=>{{1,5,7},{2},{3},{4},{6}}
[3,2,7,4,5,1,6]=>[3,4,2,5,1,7,6]=>{{1,3},{2,4,5},{6,7}}=>{{1,2},{3,4,6},{5,7}}
[3,2,7,4,5,6,1]=>[3,2,4,5,1,7,6]=>{{1,3,4,5},{2},{6,7}}=>{{1,2},{3,4,5,7},{6}}
[3,2,7,4,6,1,5]=>[3,7,2,4,1,6,5]=>{{1,3},{2,7},{4},{5},{6}}=>{{1,6},{2},{3},{4},{5,7}}
[3,2,7,4,6,5,1]=>[7,3,2,4,1,6,5]=>{{1,7},{2,3},{4},{5},{6}}=>{{1,7},{2},{3},{4},{5,6}}
[3,2,7,5,1,4,6]=>[3,5,7,2,1,6,4]=>{{1,3,7},{2,5},{4},{6}}=>{{1,5,7},{2},{3,6},{4}}
[3,2,7,5,1,6,4]=>[3,2,7,5,1,6,4]=>{{1,3,7},{2},{4,5},{6}}=>{{1,5,7},{2},{3,4},{6}}
[3,2,7,5,4,1,6]=>[3,7,5,2,1,6,4]=>{{1,3,5},{2,7},{4},{6}}=>{{1,6},{2},{3,5,7},{4}}
[3,2,7,5,4,6,1]=>[7,3,5,2,1,6,4]=>{{1,7},{2,3,5},{4},{6}}=>{{1,7},{2},{3,5,6},{4}}
[3,2,7,5,6,1,4]=>[3,7,2,5,1,6,4]=>{{1,3},{2,7},{4,5},{6}}=>{{1,6},{2},{3,4},{5,7}}
[3,2,7,5,6,4,1]=>[7,3,2,5,1,6,4]=>{{1,7},{2,3},{4,5},{6}}=>{{1,7},{2},{3,4},{5,6}}
[3,2,7,6,1,4,5]=>[3,4,7,2,1,6,5]=>{{1,3,7},{2,4},{5},{6}}=>{{1,5,7},{2},{3},{4,6}}
[3,2,7,6,1,5,4]=>[7,3,6,2,1,5,4]=>{{1,7},{2,3,6},{4},{5}}=>{{1,7},{2,5,6},{3},{4}}
[3,2,7,6,4,1,5]=>[3,7,4,2,1,6,5]=>{{1,3,4},{2,7},{5},{6}}=>{{1,6},{2},{3},{4,5,7}}
[3,2,7,6,4,5,1]=>[7,3,4,2,1,6,5]=>{{1,7},{2,3,4},{5},{6}}=>{{1,7},{2},{3},{4,5,6}}
[3,2,7,6,5,1,4]=>[3,7,6,2,1,5,4]=>{{1,3,6},{2,7},{4},{5}}=>{{1,6},{2,5,7},{3},{4}}
[3,2,7,6,5,4,1]=>[7,6,3,2,1,5,4]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[3,4,1,2,5,6,7]=>[3,4,5,6,7,1,2]=>{{1,3,5,7},{2,4,6}}=>{{1,3,5,7},{2,4,6}}
[3,4,1,2,5,7,6]=>[3,1,4,5,7,2,6]=>{{1,3,4,5,7},{2},{6}}=>{{1,3,4,5,7},{2},{6}}
[3,4,1,2,6,5,7]=>[3,4,1,6,7,2,5]=>{{1,3},{2,4,6},{5,7}}=>{{1,3},{2,4,6},{5,7}}
[3,4,1,2,6,7,5]=>[3,1,4,6,7,2,5]=>{{1,3,4,6},{2},{5,7}}=>{{1,3},{2,4,5,7},{6}}
[3,4,1,2,7,5,6]=>[3,4,1,5,7,2,6]=>{{1,3},{2,4,5,7},{6}}=>{{1,3,4,6},{2},{5,7}}
[3,4,1,2,7,6,5]=>[7,3,1,4,6,2,5]=>{{1,7},{2,3},{4},{5,6}}=>{{1,7},{2,3},{4},{5,6}}
[3,4,1,5,2,6,7]=>[3,4,5,1,6,2,7]=>{{1,3,5,6},{2,4},{7}}=>{{1},{2,3,5,7},{4,6}}
[3,4,1,5,2,7,6]=>[3,1,4,2,7,5,6]=>{{1,3,4},{2},{5,7},{6}}=>{{1,3},{2},{4,5,7},{6}}
[3,4,1,5,6,2,7]=>[3,4,1,5,6,2,7]=>{{1,3},{2,4,5,6},{7}}=>{{1},{2,3,4,6},{5,7}}
[3,4,1,5,6,7,2]=>[3,1,4,5,6,2,7]=>{{1,3,4,5,6},{2},{7}}=>{{1},{2,3,4,5,7},{6}}
[3,4,1,5,7,2,6]=>[3,4,1,2,7,5,6]=>{{1,3},{2,4},{5,7},{6}}=>{{1,3},{2},{4,6},{5,7}}
[3,4,1,5,7,6,2]=>[7,3,1,4,5,2,6]=>{{1,7},{2,3},{4},{5},{6}}=>{{1,7},{2},{3},{4},{5,6}}
[3,4,1,6,2,5,7]=>[3,4,6,1,7,2,5]=>{{1,3,6},{2,4},{5,7}}=>{{1,3},{2,5,7},{4,6}}
[3,4,1,6,2,7,5]=>[3,1,4,2,6,5,7]=>{{1,3,4},{2},{5,6},{7}}=>{{1},{2,3},{4,5,7},{6}}
[3,4,1,6,5,2,7]=>[3,6,4,1,5,2,7]=>{{1,3,4},{2,6},{5},{7}}=>{{1},{2,6},{3},{4,5,7}}
[3,4,1,6,5,7,2]=>[6,3,4,1,5,2,7]=>{{1,6},{2,3,4},{5},{7}}=>{{1},{2,7},{3},{4,5,6}}
[3,4,1,6,7,2,5]=>[3,4,1,2,6,5,7]=>{{1,3},{2,4},{5,6},{7}}=>{{1},{2,3},{4,6},{5,7}}
[3,4,1,6,7,5,2]=>[6,3,1,4,5,2,7]=>{{1,6},{2,3},{4},{5},{7}}=>{{1},{2,7},{3},{4},{5,6}}
[3,4,1,7,2,5,6]=>[3,4,5,1,7,2,6]=>{{1,3,5,7},{2,4},{6}}=>{{1,3,5,7},{2},{4,6}}
[3,4,1,7,2,6,5]=>[7,3,4,1,6,2,5]=>{{1,7},{2,3,4},{5,6}}=>{{1,7},{2,3},{4,5,6}}
[3,4,1,7,5,2,6]=>[3,7,4,1,5,2,6]=>{{1,3,4},{2,7},{5},{6}}=>{{1,6},{2},{3},{4,5,7}}
[3,4,1,7,5,6,2]=>[7,3,4,1,5,2,6]=>{{1,7},{2,3,4},{5},{6}}=>{{1,7},{2},{3},{4,5,6}}
[3,4,1,7,6,2,5]=>[3,7,4,1,6,2,5]=>{{1,3,4},{2,7},{5,6}}=>{{1,6},{2,3},{4,5,7}}
[3,4,1,7,6,5,2]=>[7,6,3,1,4,2,5]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[3,4,2,1,5,6,7]=>[3,4,5,6,2,1,7]=>{{1,3,5},{2,4,6},{7}}=>{{1},{2,4,6},{3,5,7}}
[3,4,2,1,5,7,6]=>[3,2,4,7,5,1,6]=>{{1,3,4,7},{2},{5},{6}}=>{{1,4,5,7},{2},{3},{6}}
[3,4,2,1,6,5,7]=>[3,4,2,6,5,1,7]=>{{1,3},{2,4,6},{5},{7}}=>{{1},{2,4,6},{3},{5,7}}
[3,4,2,1,6,7,5]=>[3,2,4,6,5,1,7]=>{{1,3,4,6},{2},{5},{7}}=>{{1},{2,4,5,7},{3},{6}}
[3,4,2,1,7,5,6]=>[3,4,2,7,5,1,6]=>{{1,3},{2,4,7},{5},{6}}=>{{1,4,6},{2},{3},{5,7}}
[3,4,2,1,7,6,5]=>[3,2,1,7,6,4,5]=>{{1,3},{2},{4,7},{5,6}}=>{{1,4},{2,3},{5,7},{6}}
[3,4,2,5,1,6,7]=>[3,4,5,2,6,1,7]=>{{1,3,5,6},{2,4},{7}}=>{{1},{2,3,5,7},{4,6}}
[3,4,2,5,1,7,6]=>[3,2,7,4,5,1,6]=>{{1,3,7},{2},{4},{5},{6}}=>{{1,5,7},{2},{3},{4},{6}}
[3,4,2,5,6,1,7]=>[3,4,2,5,6,1,7]=>{{1,3},{2,4,5,6},{7}}=>{{1},{2,3,4,6},{5,7}}
[3,4,2,5,6,7,1]=>[3,2,4,5,6,1,7]=>{{1,3,4,5,6},{2},{7}}=>{{1},{2,3,4,5,7},{6}}
[3,4,2,5,7,1,6]=>[3,7,2,4,5,1,6]=>{{1,3},{2,7},{4},{5},{6}}=>{{1,6},{2},{3},{4},{5,7}}
[3,4,2,5,7,6,1]=>[3,2,1,4,7,5,6]=>{{1,3},{2},{4},{5,7},{6}}=>{{1,3},{2},{4},{5,7},{6}}
[3,4,2,6,1,5,7]=>[3,4,6,2,5,1,7]=>{{1,3,6},{2,4},{5},{7}}=>{{1},{2,5,7},{3},{4,6}}
[3,4,2,6,1,7,5]=>[3,2,6,4,5,1,7]=>{{1,3,6},{2},{4},{5},{7}}=>{{1},{2,5,7},{3},{4},{6}}
[3,4,2,6,5,1,7]=>[3,4,2,1,6,5,7]=>{{1,3},{2,4},{5,6},{7}}=>{{1},{2,3},{4,6},{5,7}}
[3,4,2,6,5,7,1]=>[3,2,4,1,6,5,7]=>{{1,3,4},{2},{5,6},{7}}=>{{1},{2,3},{4,5,7},{6}}
[3,4,2,6,7,1,5]=>[3,6,2,4,5,1,7]=>{{1,3},{2,6},{4},{5},{7}}=>{{1},{2,6},{3},{4},{5,7}}
[3,4,2,6,7,5,1]=>[3,2,1,4,6,5,7]=>{{1,3},{2},{4},{5,6},{7}}=>{{1},{2,3},{4},{5,7},{6}}
[3,4,2,7,1,5,6]=>[3,4,7,2,5,1,6]=>{{1,3,7},{2,4},{5},{6}}=>{{1,5,7},{2},{3},{4,6}}
[3,4,2,7,1,6,5]=>[3,2,7,1,6,4,5]=>{{1,3,7},{2},{4},{5,6}}=>{{1,5,7},{2,3},{4},{6}}
[3,4,2,7,5,1,6]=>[3,4,2,1,7,5,6]=>{{1,3},{2,4},{5,7},{6}}=>{{1,3},{2},{4,6},{5,7}}
[3,4,2,7,5,6,1]=>[3,2,4,1,7,5,6]=>{{1,3,4},{2},{5,7},{6}}=>{{1,3},{2},{4,5,7},{6}}
[3,4,2,7,6,1,5]=>[3,7,2,1,6,4,5]=>{{1,3},{2,7},{4},{5,6}}=>{{1,6},{2,3},{4},{5,7}}
[3,4,2,7,6,5,1]=>[7,3,2,1,6,4,5]=>{{1,7},{2,3},{4},{5,6}}=>{{1,7},{2,3},{4},{5,6}}
[3,4,5,1,2,6,7]=>[3,4,5,6,1,2,7]=>{{1,3,5},{2,4,6},{7}}=>{{1},{2,4,6},{3,5,7}}
[3,4,5,1,2,7,6]=>[3,1,4,7,2,5,6]=>{{1,3,4,7},{2},{5},{6}}=>{{1,4,5,7},{2},{3},{6}}
[3,4,5,1,6,2,7]=>[3,4,1,5,2,6,7]=>{{1,3},{2,4,5},{6},{7}}=>{{1},{2},{3,4,6},{5,7}}
[3,4,5,1,6,7,2]=>[3,1,4,5,2,6,7]=>{{1,3,4,5},{2},{6},{7}}=>{{1},{2},{3,4,5,7},{6}}
[3,4,5,1,7,2,6]=>[3,4,1,7,2,5,6]=>{{1,3},{2,4,7},{5},{6}}=>{{1,4,6},{2},{3},{5,7}}
[3,4,5,1,7,6,2]=>[7,3,1,4,2,5,6]=>{{1,7},{2,3},{4},{5},{6}}=>{{1,7},{2},{3},{4},{5,6}}
[3,4,5,2,1,6,7]=>[3,4,5,2,1,6,7]=>{{1,3,5},{2,4},{6},{7}}=>{{1},{2},{3,5,7},{4,6}}
[3,4,5,2,1,7,6]=>[3,2,7,4,1,5,6]=>{{1,3,7},{2},{4},{5},{6}}=>{{1,5,7},{2},{3},{4},{6}}
[3,4,5,2,6,1,7]=>[3,4,2,5,1,6,7]=>{{1,3},{2,4,5},{6},{7}}=>{{1},{2},{3,4,6},{5,7}}
[3,4,5,2,6,7,1]=>[3,2,4,5,1,6,7]=>{{1,3,4,5},{2},{6},{7}}=>{{1},{2},{3,4,5,7},{6}}
[3,4,5,2,7,1,6]=>[3,7,2,4,1,5,6]=>{{1,3},{2,7},{4},{5},{6}}=>{{1,6},{2},{3},{4},{5,7}}
[3,4,5,2,7,6,1]=>[3,2,1,7,4,5,6]=>{{1,3},{2},{4,7},{5},{6}}=>{{1,4},{2},{3},{5,7},{6}}
[3,4,5,6,1,2,7]=>[3,4,5,1,2,6,7]=>{{1,3,5},{2,4},{6},{7}}=>{{1},{2},{3,5,7},{4,6}}
[3,4,5,6,1,7,2]=>[3,1,4,2,5,6,7]=>{{1,3,4},{2},{5},{6},{7}}=>{{1},{2},{3},{4,5,7},{6}}
[3,4,5,6,2,1,7]=>[3,4,2,1,5,6,7]=>{{1,3},{2,4},{5},{6},{7}}=>{{1},{2},{3},{4,6},{5,7}}
[3,4,5,6,2,7,1]=>[3,2,4,1,5,6,7]=>{{1,3,4},{2},{5},{6},{7}}=>{{1},{2},{3},{4,5,7},{6}}
[3,4,5,6,7,1,2]=>[3,4,1,2,5,6,7]=>{{1,3},{2,4},{5},{6},{7}}=>{{1},{2},{3},{4,6},{5,7}}
[3,4,5,6,7,2,1]=>[3,2,1,4,5,6,7]=>{{1,3},{2},{4},{5},{6},{7}}=>{{1},{2},{3},{4},{5,7},{6}}
[3,4,5,7,1,2,6]=>[3,4,7,1,2,5,6]=>{{1,3,7},{2,4},{5},{6}}=>{{1,5,7},{2},{3},{4,6}}
[3,4,5,7,1,6,2]=>[7,3,4,1,2,5,6]=>{{1,7},{2,3,4},{5},{6}}=>{{1,7},{2},{3},{4,5,6}}
[3,4,5,7,2,1,6]=>[3,7,2,1,4,5,6]=>{{1,3},{2,7},{4},{5},{6}}=>{{1,6},{2},{3},{4},{5,7}}
[3,4,5,7,2,6,1]=>[3,2,7,1,4,5,6]=>{{1,3,7},{2},{4},{5},{6}}=>{{1,5,7},{2},{3},{4},{6}}
[3,4,5,7,6,1,2]=>[3,7,4,1,2,5,6]=>{{1,3,4},{2,7},{5},{6}}=>{{1,6},{2},{3},{4,5,7}}
[3,4,5,7,6,2,1]=>[7,3,2,1,4,5,6]=>{{1,7},{2,3},{4},{5},{6}}=>{{1,7},{2},{3},{4},{5,6}}
[3,4,6,1,2,5,7]=>[3,4,6,7,1,2,5]=>{{1,3,6},{2,4,7},{5}}=>{{1,4,6},{2,5,7},{3}}
[3,4,6,1,2,7,5]=>[3,1,4,6,2,5,7]=>{{1,3,4,6},{2},{5},{7}}=>{{1},{2,4,5,7},{3},{6}}
[3,4,6,1,5,2,7]=>[3,6,4,5,1,2,7]=>{{1,3,4,5},{2,6},{7}}=>{{1},{2,6},{3,4,5,7}}
[3,4,6,1,5,7,2]=>[6,3,4,5,1,2,7]=>{{1,6},{2,3,4,5},{7}}=>{{1},{2,7},{3,4,5,6}}
[3,4,6,1,7,2,5]=>[3,4,1,6,2,5,7]=>{{1,3},{2,4,6},{5},{7}}=>{{1},{2,4,6},{3},{5,7}}
[3,4,6,1,7,5,2]=>[6,3,1,4,2,5,7]=>{{1,6},{2,3},{4},{5},{7}}=>{{1},{2,7},{3},{4},{5,6}}
[3,4,6,2,1,5,7]=>[3,4,6,2,1,5,7]=>{{1,3,6},{2,4},{5},{7}}=>{{1},{2,5,7},{3},{4,6}}
[3,4,6,2,1,7,5]=>[3,2,6,4,1,5,7]=>{{1,3,6},{2},{4},{5},{7}}=>{{1},{2,5,7},{3},{4},{6}}
[3,4,6,2,5,1,7]=>[3,4,2,6,1,5,7]=>{{1,3},{2,4,6},{5},{7}}=>{{1},{2,4,6},{3},{5,7}}
[3,4,6,2,5,7,1]=>[3,2,4,6,1,5,7]=>{{1,3,4,6},{2},{5},{7}}=>{{1},{2,4,5,7},{3},{6}}
[3,4,6,2,7,1,5]=>[3,6,2,4,1,5,7]=>{{1,3},{2,6},{4},{5},{7}}=>{{1},{2,6},{3},{4},{5,7}}
[3,4,6,2,7,5,1]=>[3,2,1,6,4,5,7]=>{{1,3},{2},{4,6},{5},{7}}=>{{1},{2,4},{3},{5,7},{6}}
[3,4,6,5,1,2,7]=>[3,4,6,5,1,2,7]=>{{1,3,6},{2,4,5},{7}}=>{{1},{2,5,7},{3,4,6}}
[3,4,6,5,1,7,2]=>[3,1,6,4,2,5,7]=>{{1,3,6},{2},{4},{5},{7}}=>{{1},{2,5,7},{3},{4},{6}}
[3,4,6,5,2,1,7]=>[3,6,4,2,1,5,7]=>{{1,3,4},{2,6},{5},{7}}=>{{1},{2,6},{3},{4,5,7}}
[3,4,6,5,2,7,1]=>[6,3,4,2,1,5,7]=>{{1,6},{2,3,4},{5},{7}}=>{{1},{2,7},{3},{4,5,6}}
[3,4,6,5,7,1,2]=>[3,6,1,4,2,5,7]=>{{1,3},{2,6},{4},{5},{7}}=>{{1},{2,6},{3},{4},{5,7}}
[3,4,6,5,7,2,1]=>[6,3,2,4,1,5,7]=>{{1,6},{2,3},{4},{5},{7}}=>{{1},{2,7},{3},{4},{5,6}}
[3,4,6,7,1,2,5]=>[3,4,6,1,2,5,7]=>{{1,3,6},{2,4},{5},{7}}=>{{1},{2,5,7},{3},{4,6}}
[3,4,6,7,1,5,2]=>[6,3,4,1,2,5,7]=>{{1,6},{2,3,4},{5},{7}}=>{{1},{2,7},{3},{4,5,6}}
[3,4,6,7,2,1,5]=>[3,6,2,1,4,5,7]=>{{1,3},{2,6},{4},{5},{7}}=>{{1},{2,6},{3},{4},{5,7}}
[3,4,6,7,2,5,1]=>[3,2,6,1,4,5,7]=>{{1,3,6},{2},{4},{5},{7}}=>{{1},{2,5,7},{3},{4},{6}}
[3,4,6,7,5,1,2]=>[3,6,4,1,2,5,7]=>{{1,3,4},{2,6},{5},{7}}=>{{1},{2,6},{3},{4,5,7}}
[3,4,6,7,5,2,1]=>[6,3,2,1,4,5,7]=>{{1,6},{2,3},{4},{5},{7}}=>{{1},{2,7},{3},{4},{5,6}}
[3,4,7,1,2,5,6]=>[3,4,5,7,1,2,6]=>{{1,3,5},{2,4,7},{6}}=>{{1,4,6},{2},{3,5,7}}
[3,4,7,1,2,6,5]=>[7,3,4,6,1,2,5]=>{{1,7},{2,3,4,6},{5}}=>{{1,7},{2,4,5,6},{3}}
[3,4,7,1,5,2,6]=>[3,7,4,5,1,2,6]=>{{1,3,4,5},{2,7},{6}}=>{{1,6},{2},{3,4,5,7}}
[3,4,7,1,5,6,2]=>[7,3,4,5,1,2,6]=>{{1,7},{2,3,4,5},{6}}=>{{1,7},{2},{3,4,5,6}}
[3,4,7,1,6,2,5]=>[3,7,4,6,1,2,5]=>{{1,3,4,6},{2,7},{5}}=>{{1,6},{2,4,5,7},{3}}
[3,4,7,1,6,5,2]=>[7,6,3,4,1,2,5]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[3,4,7,2,1,5,6]=>[3,4,7,2,1,5,6]=>{{1,3,7},{2,4},{5},{6}}=>{{1,5,7},{2},{3},{4,6}}
[3,4,7,2,1,6,5]=>[3,2,7,6,1,4,5]=>{{1,3,7},{2},{4,6},{5}}=>{{1,5,7},{2,4},{3},{6}}
[3,4,7,2,5,1,6]=>[3,4,2,7,1,5,6]=>{{1,3},{2,4,7},{5},{6}}=>{{1,4,6},{2},{3},{5,7}}
[3,4,7,2,5,6,1]=>[3,2,4,7,1,5,6]=>{{1,3,4,7},{2},{5},{6}}=>{{1,4,5,7},{2},{3},{6}}
[3,4,7,2,6,1,5]=>[3,7,2,6,1,4,5]=>{{1,3},{2,7},{4,6},{5}}=>{{1,6},{2,4},{3},{5,7}}
[3,4,7,2,6,5,1]=>[7,3,2,6,1,4,5]=>{{1,7},{2,3},{4,6},{5}}=>{{1,7},{2,4},{3},{5,6}}
[3,4,7,5,1,2,6]=>[3,4,7,5,1,2,6]=>{{1,3,7},{2,4,5},{6}}=>{{1,5,7},{2},{3,4,6}}
[3,4,7,5,1,6,2]=>[3,1,7,4,2,5,6]=>{{1,3,7},{2},{4},{5},{6}}=>{{1,5,7},{2},{3},{4},{6}}
[3,4,7,5,2,1,6]=>[3,7,4,2,1,5,6]=>{{1,3,4},{2,7},{5},{6}}=>{{1,6},{2},{3},{4,5,7}}
[3,4,7,5,2,6,1]=>[7,3,4,2,1,5,6]=>{{1,7},{2,3,4},{5},{6}}=>{{1,7},{2},{3},{4,5,6}}
[3,4,7,5,6,1,2]=>[3,7,1,4,2,5,6]=>{{1,3},{2,7},{4},{5},{6}}=>{{1,6},{2},{3},{4},{5,7}}
[3,4,7,5,6,2,1]=>[7,3,2,4,1,5,6]=>{{1,7},{2,3},{4},{5},{6}}=>{{1,7},{2},{3},{4},{5,6}}
[3,4,7,6,1,2,5]=>[3,4,7,6,1,2,5]=>{{1,3,7},{2,4,6},{5}}=>{{1,5,7},{2,4,6},{3}}
[3,4,7,6,1,5,2]=>[7,3,6,4,1,2,5]=>{{1,7},{2,3,6},{4},{5}}=>{{1,7},{2,5,6},{3},{4}}
[3,4,7,6,2,1,5]=>[3,7,6,2,1,4,5]=>{{1,3,6},{2,7},{4},{5}}=>{{1,6},{2,5,7},{3},{4}}
[3,4,7,6,2,5,1]=>[7,3,6,2,1,4,5]=>{{1,7},{2,3,6},{4},{5}}=>{{1,7},{2,5,6},{3},{4}}
[3,4,7,6,5,1,2]=>[3,7,6,4,1,2,5]=>{{1,3,6},{2,7},{4},{5}}=>{{1,6},{2,5,7},{3},{4}}
[3,4,7,6,5,2,1]=>[7,6,3,2,1,4,5]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[3,5,1,2,4,6,7]=>[1,3,5,6,7,2,4]=>{{1},{2,3,5,7},{4,6}}=>{{1,3,5,6},{2,4},{7}}
[3,5,1,2,4,7,6]=>[3,1,2,5,7,4,6]=>{{1,3},{2},{4,5,7},{6}}=>{{1,3,4},{2},{5,7},{6}}
[3,5,1,2,6,4,7]=>[3,5,1,6,7,2,4]=>{{1,3},{2,5,7},{4,6}}=>{{1,3,6},{2,4},{5,7}}
[3,5,1,2,6,7,4]=>[3,1,5,6,7,2,4]=>{{1,3,5,7},{2},{4,6}}=>{{1,3,5,7},{2,4},{6}}
[3,5,1,2,7,4,6]=>[1,3,2,5,7,4,6]=>{{1},{2,3},{4,5,7},{6}}=>{{1,3,4},{2},{5,6},{7}}
[3,5,1,2,7,6,4]=>[7,3,1,5,6,2,4]=>{{1,7},{2,3},{4,5,6}}=>{{1,7},{2,3,4},{5,6}}
[3,5,1,4,2,6,7]=>[3,5,6,4,7,1,2]=>{{1,3,6},{2,5,7},{4}}=>{{1,3,6},{2,5,7},{4}}
[3,5,1,4,2,7,6]=>[3,1,5,4,7,2,6]=>{{1,3,5,7},{2},{4},{6}}=>{{1,3,5,7},{2},{4},{6}}
[3,5,1,4,6,2,7]=>[3,5,4,6,7,1,2]=>{{1,3,4,6},{2,5,7}}=>{{1,3,6},{2,4,5,7}}
[3,5,1,4,6,7,2]=>[5,3,4,6,7,1,2]=>{{1,5,7},{2,3,4,6}}=>{{1,3,7},{2,4,5,6}}
[3,5,1,4,7,2,6]=>[3,5,1,4,7,2,6]=>{{1,3},{2,5,7},{4},{6}}=>{{1,3,6},{2},{4},{5,7}}
[3,5,1,4,7,6,2]=>[5,3,1,4,7,2,6]=>{{1,5,7},{2,3},{4},{6}}=>{{1,3,7},{2},{4},{5,6}}
[3,5,1,6,2,4,7]=>[3,5,6,1,7,2,4]=>{{1,3,6},{2,5,7},{4}}=>{{1,3,6},{2,5,7},{4}}
[3,5,1,6,2,7,4]=>[3,1,5,2,6,4,7]=>{{1,3,5,6},{2},{4},{7}}=>{{1},{2,3,5,7},{4},{6}}
[3,5,1,6,4,2,7]=>[3,5,4,1,6,2,7]=>{{1,3,4},{2,5,6},{7}}=>{{1},{2,3,6},{4,5,7}}
[3,5,1,6,4,7,2]=>[5,3,4,1,6,2,7]=>{{1,5,6},{2,3,4},{7}}=>{{1},{2,3,7},{4,5,6}}
[3,5,1,6,7,2,4]=>[3,5,1,2,6,4,7]=>{{1,3},{2,5,6},{4},{7}}=>{{1},{2,3,6},{4},{5,7}}
[3,5,1,6,7,4,2]=>[5,3,1,4,6,2,7]=>{{1,5,6},{2,3},{4},{7}}=>{{1},{2,3,7},{4},{5,6}}
[3,5,1,7,2,4,6]=>[1,3,5,2,7,4,6]=>{{1},{2,3,5,7},{4},{6}}=>{{1,3,5,6},{2},{4},{7}}
[3,5,1,7,2,6,4]=>[7,3,5,1,6,2,4]=>{{1,7},{2,3,5,6},{4}}=>{{1,7},{2,3,5,6},{4}}
[3,5,1,7,4,2,6]=>[3,5,4,1,7,2,6]=>{{1,3,4},{2,5,7},{6}}=>{{1,3,6},{2},{4,5,7}}
[3,5,1,7,4,6,2]=>[5,3,4,1,7,2,6]=>{{1,5,7},{2,3,4},{6}}=>{{1,3,7},{2},{4,5,6}}
[3,5,1,7,6,2,4]=>[3,7,5,1,6,2,4]=>{{1,3,5,6},{2,7},{4}}=>{{1,6},{2,3,5,7},{4}}
[3,5,1,7,6,4,2]=>[7,5,3,1,4,2,6]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,7},{2},{3,6},{4},{5}}
[3,5,2,1,4,6,7]=>[3,5,6,7,2,1,4]=>{{1,3,6},{2,5},{4,7}}=>{{1,4},{2,5,7},{3,6}}
[3,5,2,1,4,7,6]=>[3,2,5,7,4,1,6]=>{{1,3,5},{2},{4,7},{6}}=>{{1,4},{2},{3,5,7},{6}}
[3,5,2,1,6,4,7]=>[3,5,2,6,4,1,7]=>{{1,3},{2,5},{4,6},{7}}=>{{1},{2,4},{3,6},{5,7}}
[3,5,2,1,6,7,4]=>[3,2,5,6,4,1,7]=>{{1,3,5},{2},{4,6},{7}}=>{{1},{2,4},{3,5,7},{6}}
[3,5,2,1,7,4,6]=>[3,5,2,7,4,1,6]=>{{1,3},{2,5},{4,7},{6}}=>{{1,4},{2},{3,6},{5,7}}
[3,5,2,1,7,6,4]=>[3,2,1,7,5,4,6]=>{{1,3},{2},{4,7},{5},{6}}=>{{1,4},{2},{3},{5,7},{6}}
[3,5,2,4,1,6,7]=>[3,5,6,2,7,1,4]=>{{1,3,6},{2,5,7},{4}}=>{{1,3,6},{2,5,7},{4}}
[3,5,2,4,1,7,6]=>[3,2,5,4,7,1,6]=>{{1,3,5,7},{2},{4},{6}}=>{{1,3,5,7},{2},{4},{6}}
[3,5,2,4,6,1,7]=>[3,5,2,6,7,1,4]=>{{1,3},{2,5,7},{4,6}}=>{{1,3,6},{2,4},{5,7}}
[3,5,2,4,6,7,1]=>[3,2,5,6,7,1,4]=>{{1,3,5,7},{2},{4,6}}=>{{1,3,5,7},{2,4},{6}}
[3,5,2,4,7,1,6]=>[3,5,2,4,7,1,6]=>{{1,3},{2,5,7},{4},{6}}=>{{1,3,6},{2},{4},{5,7}}
[3,5,2,4,7,6,1]=>[3,2,1,5,7,4,6]=>{{1,3},{2},{4,5,7},{6}}=>{{1,3,4},{2},{5,7},{6}}
[3,5,2,6,1,4,7]=>[3,5,6,2,4,1,7]=>{{1,3,6},{2,5},{4},{7}}=>{{1},{2,5,7},{3,6},{4}}
[3,5,2,6,1,7,4]=>[3,2,5,4,6,1,7]=>{{1,3,5,6},{2},{4},{7}}=>{{1},{2,3,5,7},{4},{6}}
[3,5,2,6,4,1,7]=>[3,5,2,1,6,4,7]=>{{1,3},{2,5,6},{4},{7}}=>{{1},{2,3,6},{4},{5,7}}
[3,5,2,6,4,7,1]=>[3,2,5,1,6,4,7]=>{{1,3,5,6},{2},{4},{7}}=>{{1},{2,3,5,7},{4},{6}}
[3,5,2,6,7,1,4]=>[3,5,2,4,6,1,7]=>{{1,3},{2,5,6},{4},{7}}=>{{1},{2,3,6},{4},{5,7}}
[3,5,2,6,7,4,1]=>[3,2,1,5,6,4,7]=>{{1,3},{2},{4,5,6},{7}}=>{{1},{2,3,4},{5,7},{6}}
[3,5,2,7,1,4,6]=>[3,5,7,2,4,1,6]=>{{1,3,7},{2,5},{4},{6}}=>{{1,5,7},{2},{3,6},{4}}
[3,5,2,7,1,6,4]=>[3,2,7,1,5,4,6]=>{{1,3,7},{2},{4},{5},{6}}=>{{1,5,7},{2},{3},{4},{6}}
[3,5,2,7,4,1,6]=>[3,5,2,1,7,4,6]=>{{1,3},{2,5,7},{4},{6}}=>{{1,3,6},{2},{4},{5,7}}
[3,5,2,7,4,6,1]=>[3,2,5,1,7,4,6]=>{{1,3,5,7},{2},{4},{6}}=>{{1,3,5,7},{2},{4},{6}}
[3,5,2,7,6,1,4]=>[3,7,2,1,5,4,6]=>{{1,3},{2,7},{4},{5},{6}}=>{{1,6},{2},{3},{4},{5,7}}
[3,5,2,7,6,4,1]=>[7,3,2,1,5,4,6]=>{{1,7},{2,3},{4},{5},{6}}=>{{1,7},{2},{3},{4},{5,6}}
[3,5,4,1,2,6,7]=>[3,5,6,7,4,1,2]=>{{1,3,6},{2,5},{4,7}}=>{{1,4},{2,5,7},{3,6}}
[3,5,4,1,2,7,6]=>[3,1,5,7,4,2,6]=>{{1,3,5},{2},{4,7},{6}}=>{{1,4},{2},{3,5,7},{6}}
[3,5,4,1,6,2,7]=>[3,5,1,6,4,2,7]=>{{1,3},{2,5},{4,6},{7}}=>{{1},{2,4},{3,6},{5,7}}
[3,5,4,1,6,7,2]=>[3,1,5,6,4,2,7]=>{{1,3,5},{2},{4,6},{7}}=>{{1},{2,4},{3,5,7},{6}}
[3,5,4,1,7,2,6]=>[3,5,1,7,4,2,6]=>{{1,3},{2,5},{4,7},{6}}=>{{1,4},{2},{3,6},{5,7}}
[3,5,4,1,7,6,2]=>[5,3,1,7,4,2,6]=>{{1,5},{2,3},{4,7},{6}}=>{{1,4},{2},{3,7},{5,6}}
[3,5,4,2,1,6,7]=>[3,5,6,4,2,1,7]=>{{1,3,6},{2,5},{4},{7}}=>{{1},{2,5,7},{3,6},{4}}
[3,5,4,2,1,7,6]=>[5,3,7,4,2,1,6]=>{{1,5},{2,3,7},{4},{6}}=>{{1,5,6},{2},{3,7},{4}}
[3,5,4,2,6,1,7]=>[3,5,4,6,2,1,7]=>{{1,3,4,6},{2,5},{7}}=>{{1},{2,4,5,7},{3,6}}
[3,5,4,2,6,7,1]=>[5,3,4,6,2,1,7]=>{{1,5},{2,3,4,6},{7}}=>{{1},{2,4,5,6},{3,7}}
[3,5,4,2,7,1,6]=>[5,7,3,4,2,1,6]=>{{1,5},{2,7},{3},{4},{6}}=>{{1,6},{2},{3,7},{4},{5}}
[3,5,4,2,7,6,1]=>[5,3,2,7,4,1,6]=>{{1,5},{2,3},{4,7},{6}}=>{{1,4},{2},{3,7},{5,6}}
[3,5,4,6,1,2,7]=>[3,5,6,1,4,2,7]=>{{1,3,6},{2,5},{4},{7}}=>{{1},{2,5,7},{3,6},{4}}
[3,5,4,6,1,7,2]=>[3,1,5,4,6,2,7]=>{{1,3,5,6},{2},{4},{7}}=>{{1},{2,3,5,7},{4},{6}}
[3,5,4,6,2,1,7]=>[3,5,4,2,6,1,7]=>{{1,3,4},{2,5,6},{7}}=>{{1},{2,3,6},{4,5,7}}
[3,5,4,6,2,7,1]=>[5,3,4,2,6,1,7]=>{{1,5,6},{2,3,4},{7}}=>{{1},{2,3,7},{4,5,6}}
[3,5,4,6,7,1,2]=>[3,5,1,4,6,2,7]=>{{1,3},{2,5,6},{4},{7}}=>{{1},{2,3,6},{4},{5,7}}
[3,5,4,6,7,2,1]=>[5,3,2,4,6,1,7]=>{{1,5,6},{2,3},{4},{7}}=>{{1},{2,3,7},{4},{5,6}}
[3,5,4,7,1,2,6]=>[3,5,7,1,4,2,6]=>{{1,3,7},{2,5},{4},{6}}=>{{1,5,7},{2},{3,6},{4}}
[3,5,4,7,1,6,2]=>[5,3,7,1,4,2,6]=>{{1,5},{2,3,7},{4},{6}}=>{{1,5,6},{2},{3,7},{4}}
[3,5,4,7,2,1,6]=>[5,7,3,2,4,1,6]=>{{1,5},{2,7},{3},{4},{6}}=>{{1,6},{2},{3,7},{4},{5}}
[3,5,4,7,2,6,1]=>[5,3,7,2,4,1,6]=>{{1,5},{2,3,7},{4},{6}}=>{{1,5,6},{2},{3,7},{4}}
[3,5,4,7,6,1,2]=>[5,7,3,1,4,2,6]=>{{1,5},{2,7},{3},{4},{6}}=>{{1,6},{2},{3,7},{4},{5}}
[3,5,4,7,6,2,1]=>[5,3,2,1,7,4,6]=>{{1,5,7},{2,3},{4},{6}}=>{{1,3,7},{2},{4},{5,6}}
[3,5,6,1,2,4,7]=>[3,5,6,7,1,2,4]=>{{1,3,6},{2,5},{4,7}}=>{{1,4},{2,5,7},{3,6}}
[3,5,6,1,2,7,4]=>[3,1,5,6,2,4,7]=>{{1,3,5},{2},{4,6},{7}}=>{{1},{2,4},{3,5,7},{6}}
[3,5,6,1,4,2,7]=>[3,5,4,6,1,2,7]=>{{1,3,4,6},{2,5},{7}}=>{{1},{2,4,5,7},{3,6}}
[3,5,6,1,4,7,2]=>[5,3,4,6,1,2,7]=>{{1,5},{2,3,4,6},{7}}=>{{1},{2,4,5,6},{3,7}}
[3,5,6,1,7,2,4]=>[3,5,1,6,2,4,7]=>{{1,3},{2,5},{4,6},{7}}=>{{1},{2,4},{3,6},{5,7}}
[3,5,6,1,7,4,2]=>[5,3,1,4,2,6,7]=>{{1,5},{2,3},{4},{6},{7}}=>{{1},{2},{3,7},{4},{5,6}}
[3,5,6,2,1,4,7]=>[3,5,6,2,1,4,7]=>{{1,3,6},{2,5},{4},{7}}=>{{1},{2,5,7},{3,6},{4}}
[3,5,6,2,1,7,4]=>[3,2,5,4,1,6,7]=>{{1,3,5},{2},{4},{6},{7}}=>{{1},{2},{3,5,7},{4},{6}}
[3,5,6,2,4,1,7]=>[3,5,2,6,1,4,7]=>{{1,3},{2,5},{4,6},{7}}=>{{1},{2,4},{3,6},{5,7}}
[3,5,6,2,4,7,1]=>[3,2,5,6,1,4,7]=>{{1,3,5},{2},{4,6},{7}}=>{{1},{2,4},{3,5,7},{6}}
[3,5,6,2,7,1,4]=>[3,5,2,4,1,6,7]=>{{1,3},{2,5},{4},{6},{7}}=>{{1},{2},{3,6},{4},{5,7}}
[3,5,6,2,7,4,1]=>[3,2,1,5,4,6,7]=>{{1,3},{2},{4,5},{6},{7}}=>{{1},{2},{3,4},{5,7},{6}}
[3,5,6,4,1,2,7]=>[3,5,6,4,1,2,7]=>{{1,3,6},{2,5},{4},{7}}=>{{1},{2,5,7},{3,6},{4}}
[3,5,6,4,1,7,2]=>[3,1,5,4,2,6,7]=>{{1,3,5},{2},{4},{6},{7}}=>{{1},{2},{3,5,7},{4},{6}}
[3,5,6,4,2,1,7]=>[3,5,4,2,1,6,7]=>{{1,3,4},{2,5},{6},{7}}=>{{1},{2},{3,6},{4,5,7}}
[3,5,6,4,2,7,1]=>[5,3,4,2,1,6,7]=>{{1,5},{2,3,4},{6},{7}}=>{{1},{2},{3,7},{4,5,6}}
[3,5,6,4,7,1,2]=>[3,5,1,4,2,6,7]=>{{1,3},{2,5},{4},{6},{7}}=>{{1},{2},{3,6},{4},{5,7}}
[3,5,6,4,7,2,1]=>[5,3,2,4,1,6,7]=>{{1,5},{2,3},{4},{6},{7}}=>{{1},{2},{3,7},{4},{5,6}}
[3,5,6,7,1,2,4]=>[3,5,6,1,2,4,7]=>{{1,3,6},{2,5},{4},{7}}=>{{1},{2,5,7},{3,6},{4}}
[3,5,6,7,1,4,2]=>[5,3,4,1,2,6,7]=>{{1,5},{2,3,4},{6},{7}}=>{{1},{2},{3,7},{4,5,6}}
[3,5,6,7,2,1,4]=>[3,5,2,1,4,6,7]=>{{1,3},{2,5},{4},{6},{7}}=>{{1},{2},{3,6},{4},{5,7}}
[3,5,6,7,2,4,1]=>[3,2,5,1,4,6,7]=>{{1,3,5},{2},{4},{6},{7}}=>{{1},{2},{3,5,7},{4},{6}}
[3,5,6,7,4,1,2]=>[3,5,4,1,2,6,7]=>{{1,3,4},{2,5},{6},{7}}=>{{1},{2},{3,6},{4,5,7}}
[3,5,6,7,4,2,1]=>[5,3,2,1,4,6,7]=>{{1,5},{2,3},{4},{6},{7}}=>{{1},{2},{3,7},{4},{5,6}}
[3,5,7,1,2,4,6]=>[1,3,5,7,2,4,6]=>{{1},{2,3,5},{4,7},{6}}=>{{1,4},{2},{3,5,6},{7}}
[3,5,7,1,2,6,4]=>[7,3,5,6,1,2,4]=>{{1,7},{2,3,5},{4,6}}=>{{1,7},{2,4},{3,5,6}}
[3,5,7,1,4,2,6]=>[3,5,4,7,1,2,6]=>{{1,3,4,7},{2,5},{6}}=>{{1,4,5,7},{2},{3,6}}
[3,5,7,1,4,6,2]=>[5,3,4,7,1,2,6]=>{{1,5},{2,3,4,7},{6}}=>{{1,4,5,6},{2},{3,7}}
[3,5,7,1,6,2,4]=>[3,7,5,6,1,2,4]=>{{1,3,5},{2,7},{4,6}}=>{{1,6},{2,4},{3,5,7}}
[3,5,7,1,6,4,2]=>[7,5,3,4,1,2,6]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,7},{2},{3,6},{4},{5}}
[3,5,7,2,1,4,6]=>[3,5,7,2,1,4,6]=>{{1,3,7},{2,5},{4},{6}}=>{{1,5,7},{2},{3,6},{4}}
[3,5,7,2,1,6,4]=>[3,2,7,5,1,4,6]=>{{1,3,7},{2},{4,5},{6}}=>{{1,5,7},{2},{3,4},{6}}
[3,5,7,2,4,1,6]=>[3,5,2,7,1,4,6]=>{{1,3},{2,5},{4,7},{6}}=>{{1,4},{2},{3,6},{5,7}}
[3,5,7,2,4,6,1]=>[3,2,5,7,1,4,6]=>{{1,3,5},{2},{4,7},{6}}=>{{1,4},{2},{3,5,7},{6}}
[3,5,7,2,6,1,4]=>[3,7,2,5,1,4,6]=>{{1,3},{2,7},{4,5},{6}}=>{{1,6},{2},{3,4},{5,7}}
[3,5,7,2,6,4,1]=>[7,3,2,5,1,4,6]=>{{1,7},{2,3},{4,5},{6}}=>{{1,7},{2},{3,4},{5,6}}
[3,5,7,4,1,2,6]=>[3,5,7,4,1,2,6]=>{{1,3,7},{2,5},{4},{6}}=>{{1,5,7},{2},{3,6},{4}}
[3,5,7,4,1,6,2]=>[5,3,7,4,1,2,6]=>{{1,5},{2,3,7},{4},{6}}=>{{1,5,6},{2},{3,7},{4}}
[3,5,7,4,2,1,6]=>[5,7,3,2,1,4,6]=>{{1,5},{2,7},{3},{4},{6}}=>{{1,6},{2},{3,7},{4},{5}}
[3,5,7,4,2,6,1]=>[5,3,7,2,1,4,6]=>{{1,5},{2,3,7},{4},{6}}=>{{1,5,6},{2},{3,7},{4}}
[3,5,7,4,6,1,2]=>[5,7,3,4,1,2,6]=>{{1,5},{2,7},{3},{4},{6}}=>{{1,6},{2},{3,7},{4},{5}}
[3,5,7,4,6,2,1]=>[5,3,2,7,1,4,6]=>{{1,5},{2,3},{4,7},{6}}=>{{1,4},{2},{3,7},{5,6}}
[3,5,7,6,1,2,4]=>[3,5,7,6,1,2,4]=>{{1,3,7},{2,5},{4,6}}=>{{1,5,7},{2,4},{3,6}}
[3,5,7,6,1,4,2]=>[7,3,5,4,1,2,6]=>{{1,7},{2,3,5},{4},{6}}=>{{1,7},{2},{3,5,6},{4}}
[3,5,7,6,2,1,4]=>[3,7,5,2,1,4,6]=>{{1,3,5},{2,7},{4},{6}}=>{{1,6},{2},{3,5,7},{4}}
[3,5,7,6,2,4,1]=>[7,3,5,2,1,4,6]=>{{1,7},{2,3,5},{4},{6}}=>{{1,7},{2},{3,5,6},{4}}
[3,5,7,6,4,1,2]=>[3,7,5,4,1,2,6]=>{{1,3,5},{2,7},{4},{6}}=>{{1,6},{2},{3,5,7},{4}}
[3,5,7,6,4,2,1]=>[7,5,3,2,1,4,6]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,7},{2},{3,6},{4},{5}}
[3,6,1,2,4,5,7]=>[1,3,4,6,7,2,5]=>{{1},{2,3,4,6},{5,7}}=>{{1,3},{2,4,5,6},{7}}
[3,6,1,2,4,7,5]=>[3,1,2,6,7,4,5]=>{{1,3},{2},{4,6},{5,7}}=>{{1,3},{2,4},{5,7},{6}}
[3,6,1,2,5,4,7]=>[1,6,3,5,7,2,4]=>{{1},{2,6},{3},{4,5,7}}=>{{1,3,4},{2,6},{5},{7}}
[3,6,1,2,5,7,4]=>[6,1,3,5,7,2,4]=>{{1,6},{2},{3},{4,5,7}}=>{{1,3,4},{2,7},{5},{6}}
[3,6,1,2,7,4,5]=>[1,3,2,6,7,4,5]=>{{1},{2,3},{4,6},{5,7}}=>{{1,3},{2,4},{5,6},{7}}
[3,6,1,2,7,5,4]=>[6,3,1,5,7,2,4]=>{{1,6},{2,3},{4,5,7}}=>{{1,3,4},{2,7},{5,6}}
[3,6,1,4,2,5,7]=>[3,4,6,5,7,1,2]=>{{1,3,6},{2,4,5,7}}=>{{1,3,4,6},{2,5,7}}
[3,6,1,4,2,7,5]=>[3,1,6,4,7,2,5]=>{{1,3,6},{2},{4},{5,7}}=>{{1,3},{2,5,7},{4},{6}}
[3,6,1,4,5,2,7]=>[3,6,4,5,7,1,2]=>{{1,3,4,5,7},{2,6}}=>{{1,3,4,5,7},{2,6}}
[3,6,1,4,5,7,2]=>[6,3,4,5,7,1,2]=>{{1,6},{2,3,4,5,7}}=>{{1,3,4,5,6},{2,7}}
[3,6,1,4,7,2,5]=>[3,6,1,4,7,2,5]=>{{1,3},{2,6},{4},{5,7}}=>{{1,3},{2,6},{4},{5,7}}
[3,6,1,4,7,5,2]=>[6,3,1,4,7,2,5]=>{{1,6},{2,3},{4},{5,7}}=>{{1,3},{2,7},{4},{5,6}}
[3,6,1,5,2,4,7]=>[1,3,6,5,7,2,4]=>{{1},{2,3,6},{4,5,7}}=>{{1,3,4},{2,5,6},{7}}
[3,6,1,5,2,7,4]=>[3,1,6,5,7,2,4]=>{{1,3,6},{2},{4,5,7}}=>{{1,3,4},{2,5,7},{6}}
[3,6,1,5,4,2,7]=>[3,6,5,4,7,1,2]=>{{1,3,5,7},{2,6},{4}}=>{{1,3,5,7},{2,6},{4}}
[3,6,1,5,4,7,2]=>[6,3,5,4,7,1,2]=>{{1,6},{2,3,5,7},{4}}=>{{1,3,5,6},{2,7},{4}}
[3,6,1,5,7,2,4]=>[3,6,1,5,7,2,4]=>{{1,3},{2,6},{4,5,7}}=>{{1,3,4},{2,6},{5,7}}
[3,6,1,5,7,4,2]=>[6,5,3,4,7,1,2]=>{{1,6},{2,5,7},{3},{4}}=>{{1,3,6},{2,7},{4},{5}}
[3,6,1,7,2,4,5]=>[1,3,6,2,7,4,5]=>{{1},{2,3,6},{4},{5,7}}=>{{1,3},{2,5,6},{4},{7}}
[3,6,1,7,2,5,4]=>[6,3,5,1,7,2,4]=>{{1,6},{2,3,5,7},{4}}=>{{1,3,5,6},{2,7},{4}}
[3,6,1,7,4,2,5]=>[3,6,4,1,7,2,5]=>{{1,3,4},{2,6},{5,7}}=>{{1,3},{2,6},{4,5,7}}
[3,6,1,7,4,5,2]=>[6,3,4,1,7,2,5]=>{{1,6},{2,3,4},{5,7}}=>{{1,3},{2,7},{4,5,6}}
[3,6,1,7,5,2,4]=>[3,6,5,1,7,2,4]=>{{1,3,5,7},{2,6},{4}}=>{{1,3,5,7},{2,6},{4}}
[3,6,1,7,5,4,2]=>[6,5,3,1,4,2,7]=>{{1,6},{2,5},{3},{4},{7}}=>{{1},{2,7},{3,6},{4},{5}}
[3,6,2,1,4,5,7]=>[3,4,6,7,2,1,5]=>{{1,3,6},{2,4,7},{5}}=>{{1,4,6},{2,5,7},{3}}
[3,6,2,1,4,7,5]=>[3,2,6,7,4,1,5]=>{{1,3,6},{2},{4,7},{5}}=>{{1,4},{2,5,7},{3},{6}}
[3,6,2,1,5,4,7]=>[3,6,2,7,5,1,4]=>{{1,3},{2,6},{4,7},{5}}=>{{1,4},{2,6},{3},{5,7}}
[3,6,2,1,5,7,4]=>[3,2,6,7,5,1,4]=>{{1,3,6},{2},{4,7},{5}}=>{{1,4},{2,5,7},{3},{6}}
[3,6,2,1,7,4,5]=>[3,6,2,7,4,1,5]=>{{1,3},{2,6},{4,7},{5}}=>{{1,4},{2,6},{3},{5,7}}
[3,6,2,1,7,5,4]=>[3,2,1,6,5,4,7]=>{{1,3},{2},{4,6},{5},{7}}=>{{1},{2,4},{3},{5,7},{6}}
[3,6,2,4,1,5,7]=>[3,4,6,2,7,1,5]=>{{1,3,6},{2,4},{5,7}}=>{{1,3},{2,5,7},{4,6}}
[3,6,2,4,1,7,5]=>[3,2,6,4,7,1,5]=>{{1,3,6},{2},{4},{5,7}}=>{{1,3},{2,5,7},{4},{6}}
[3,6,2,4,5,1,7]=>[3,4,2,6,7,1,5]=>{{1,3},{2,4,6},{5,7}}=>{{1,3},{2,4,6},{5,7}}
[3,6,2,4,5,7,1]=>[3,2,4,6,7,1,5]=>{{1,3,4,6},{2},{5,7}}=>{{1,3},{2,4,5,7},{6}}
[3,6,2,4,7,1,5]=>[3,6,2,4,7,1,5]=>{{1,3},{2,6},{4},{5,7}}=>{{1,3},{2,6},{4},{5,7}}
[3,6,2,4,7,5,1]=>[3,2,1,6,7,4,5]=>{{1,3},{2},{4,6},{5,7}}=>{{1,3},{2,4},{5,7},{6}}
[3,6,2,5,1,4,7]=>[3,6,7,2,5,1,4]=>{{1,3,7},{2,6},{4},{5}}=>{{1,5,7},{2,6},{3},{4}}
[3,6,2,5,1,7,4]=>[3,2,6,5,7,1,4]=>{{1,3,6},{2},{4,5,7}}=>{{1,3,4},{2,5,7},{6}}
[3,6,2,5,4,1,7]=>[3,6,5,2,7,1,4]=>{{1,3,5,7},{2,6},{4}}=>{{1,3,5,7},{2,6},{4}}
[3,6,2,5,4,7,1]=>[6,3,5,2,7,1,4]=>{{1,6},{2,3,5,7},{4}}=>{{1,3,5,6},{2,7},{4}}
[3,6,2,5,7,1,4]=>[3,6,2,5,7,1,4]=>{{1,3},{2,6},{4,5,7}}=>{{1,3,4},{2,6},{5,7}}
[3,6,2,5,7,4,1]=>[6,3,2,5,7,1,4]=>{{1,6},{2,3},{4,5,7}}=>{{1,3,4},{2,7},{5,6}}
[3,6,2,7,1,4,5]=>[3,6,7,2,4,1,5]=>{{1,3,7},{2,6},{4},{5}}=>{{1,5,7},{2,6},{3},{4}}
[3,6,2,7,1,5,4]=>[3,2,6,1,5,4,7]=>{{1,3,6},{2},{4},{5},{7}}=>{{1},{2,5,7},{3},{4},{6}}
[3,6,2,7,4,1,5]=>[3,6,2,1,7,4,5]=>{{1,3},{2,6},{4},{5,7}}=>{{1,3},{2,6},{4},{5,7}}
[3,6,2,7,4,5,1]=>[3,2,6,1,7,4,5]=>{{1,3,6},{2},{4},{5,7}}=>{{1,3},{2,5,7},{4},{6}}
[3,6,2,7,5,1,4]=>[3,6,2,1,5,4,7]=>{{1,3},{2,6},{4},{5},{7}}=>{{1},{2,6},{3},{4},{5,7}}
[3,6,2,7,5,4,1]=>[6,3,2,1,5,4,7]=>{{1,6},{2,3},{4},{5},{7}}=>{{1},{2,7},{3},{4},{5,6}}
[3,6,4,1,2,5,7]=>[3,4,6,7,5,1,2]=>{{1,3,6},{2,4,7},{5}}=>{{1,4,6},{2,5,7},{3}}
[3,6,4,1,2,7,5]=>[3,1,6,7,4,2,5]=>{{1,3,6},{2},{4,7},{5}}=>{{1,4},{2,5,7},{3},{6}}
[3,6,4,1,5,2,7]=>[3,4,1,6,5,2,7]=>{{1,3},{2,4,6},{5},{7}}=>{{1},{2,4,6},{3},{5,7}}
[3,6,4,1,5,7,2]=>[3,1,4,6,5,2,7]=>{{1,3,4,6},{2},{5},{7}}=>{{1},{2,4,5,7},{3},{6}}
[3,6,4,1,7,2,5]=>[3,6,1,7,4,2,5]=>{{1,3},{2,6},{4,7},{5}}=>{{1,4},{2,6},{3},{5,7}}
[3,6,4,1,7,5,2]=>[6,3,1,7,4,2,5]=>{{1,6},{2,3},{4,7},{5}}=>{{1,4},{2,7},{3},{5,6}}
[3,6,4,2,1,5,7]=>[3,4,6,5,2,1,7]=>{{1,3,6},{2,4,5},{7}}=>{{1},{2,5,7},{3,4,6}}
[3,6,4,2,1,7,5]=>[6,3,7,4,2,1,5]=>{{1,6},{2,3,7},{4},{5}}=>{{1,5,6},{2,7},{3},{4}}
[3,6,4,2,5,1,7]=>[3,6,4,5,2,1,7]=>{{1,3,4,5},{2,6},{7}}=>{{1},{2,6},{3,4,5,7}}
[3,6,4,2,5,7,1]=>[6,3,4,5,2,1,7]=>{{1,6},{2,3,4,5},{7}}=>{{1},{2,7},{3,4,5,6}}
[3,6,4,2,7,1,5]=>[6,7,3,4,2,1,5]=>{{1,6},{2,7},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}
[3,6,4,2,7,5,1]=>[6,3,2,7,4,1,5]=>{{1,6},{2,3},{4,7},{5}}=>{{1,4},{2,7},{3},{5,6}}
[3,6,4,5,1,2,7]=>[3,4,6,1,5,2,7]=>{{1,3,6},{2,4},{5},{7}}=>{{1},{2,5,7},{3},{4,6}}
[3,6,4,5,1,7,2]=>[3,1,6,4,5,2,7]=>{{1,3,6},{2},{4},{5},{7}}=>{{1},{2,5,7},{3},{4},{6}}
[3,6,4,5,2,1,7]=>[3,6,4,2,5,1,7]=>{{1,3,4},{2,6},{5},{7}}=>{{1},{2,6},{3},{4,5,7}}
[3,6,4,5,2,7,1]=>[6,3,4,2,5,1,7]=>{{1,6},{2,3,4},{5},{7}}=>{{1},{2,7},{3},{4,5,6}}
[3,6,4,5,7,1,2]=>[3,6,1,4,5,2,7]=>{{1,3},{2,6},{4},{5},{7}}=>{{1},{2,6},{3},{4},{5,7}}
[3,6,4,5,7,2,1]=>[6,3,2,4,5,1,7]=>{{1,6},{2,3},{4},{5},{7}}=>{{1},{2,7},{3},{4},{5,6}}
[3,6,4,7,1,2,5]=>[3,6,7,1,4,2,5]=>{{1,3,7},{2,6},{4},{5}}=>{{1,5,7},{2,6},{3},{4}}
[3,6,4,7,1,5,2]=>[6,3,7,1,4,2,5]=>{{1,6},{2,3,7},{4},{5}}=>{{1,5,6},{2,7},{3},{4}}
[3,6,4,7,2,1,5]=>[6,7,3,2,4,1,5]=>{{1,6},{2,7},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}
[3,6,4,7,2,5,1]=>[6,3,7,2,4,1,5]=>{{1,6},{2,3,7},{4},{5}}=>{{1,5,6},{2,7},{3},{4}}
[3,6,4,7,5,1,2]=>[6,7,3,1,4,2,5]=>{{1,6},{2,7},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}
[3,6,4,7,5,2,1]=>[6,3,2,1,7,4,5]=>{{1,6},{2,3},{4},{5,7}}=>{{1,3},{2,7},{4},{5,6}}
[3,6,5,1,2,4,7]=>[1,3,6,7,5,2,4]=>{{1},{2,3,6},{4,7},{5}}=>{{1,4},{2,5,6},{3},{7}}
[3,6,5,1,2,7,4]=>[3,1,6,7,5,2,4]=>{{1,3,6},{2},{4,7},{5}}=>{{1,4},{2,5,7},{3},{6}}
[3,6,5,1,4,2,7]=>[3,6,5,7,4,1,2]=>{{1,3,5},{2,6},{4,7}}=>{{1,4},{2,6},{3,5,7}}
[3,6,5,1,4,7,2]=>[6,3,5,7,4,1,2]=>{{1,6},{2,3,5},{4,7}}=>{{1,4},{2,7},{3,5,6}}
[3,6,5,1,7,2,4]=>[3,6,1,7,5,2,4]=>{{1,3},{2,6},{4,7},{5}}=>{{1,4},{2,6},{3},{5,7}}
[3,6,5,1,7,4,2]=>[6,3,1,5,4,2,7]=>{{1,6},{2,3},{4,5},{7}}=>{{1},{2,7},{3,4},{5,6}}
[3,6,5,2,1,4,7]=>[3,6,7,5,2,1,4]=>{{1,3,7},{2,6},{4,5}}=>{{1,5,7},{2,6},{3,4}}
[3,6,5,2,1,7,4]=>[3,2,6,5,4,1,7]=>{{1,3,6},{2},{4,5},{7}}=>{{1},{2,5,7},{3,4},{6}}
[3,6,5,2,4,1,7]=>[3,6,5,7,2,1,4]=>{{1,3,5},{2,6},{4,7}}=>{{1,4},{2,6},{3,5,7}}
[3,6,5,2,4,7,1]=>[6,3,5,7,2,1,4]=>{{1,6},{2,3,5},{4,7}}=>{{1,4},{2,7},{3,5,6}}
[3,6,5,2,7,1,4]=>[3,6,2,5,4,1,7]=>{{1,3},{2,6},{4,5},{7}}=>{{1},{2,6},{3,4},{5,7}}
[3,6,5,2,7,4,1]=>[6,3,2,5,4,1,7]=>{{1,6},{2,3},{4,5},{7}}=>{{1},{2,7},{3,4},{5,6}}
[3,6,5,4,1,2,7]=>[3,6,7,5,4,1,2]=>{{1,3,7},{2,6},{4,5}}=>{{1,5,7},{2,6},{3,4}}
[3,6,5,4,1,7,2]=>[3,1,6,5,4,2,7]=>{{1,3,6},{2},{4,5},{7}}=>{{1},{2,5,7},{3,4},{6}}
[3,6,5,4,2,1,7]=>[3,6,5,4,2,1,7]=>{{1,3,5},{2,6},{4},{7}}=>{{1},{2,6},{3,5,7},{4}}
[3,6,5,4,2,7,1]=>[6,3,5,4,2,1,7]=>{{1,6},{2,3,5},{4},{7}}=>{{1},{2,7},{3,5,6},{4}}
[3,6,5,4,7,1,2]=>[3,6,1,5,4,2,7]=>{{1,3},{2,6},{4,5},{7}}=>{{1},{2,6},{3,4},{5,7}}
[3,6,5,4,7,2,1]=>[6,5,3,4,2,1,7]=>{{1,6},{2,5},{3},{4},{7}}=>{{1},{2,7},{3,6},{4},{5}}
[3,6,5,7,1,2,4]=>[3,6,7,1,5,2,4]=>{{1,3,7},{2,6},{4},{5}}=>{{1,5,7},{2,6},{3},{4}}
[3,6,5,7,1,4,2]=>[6,3,5,1,4,2,7]=>{{1,6},{2,3,5},{4},{7}}=>{{1},{2,7},{3,5,6},{4}}
[3,6,5,7,2,1,4]=>[3,6,5,2,4,1,7]=>{{1,3,5},{2,6},{4},{7}}=>{{1},{2,6},{3,5,7},{4}}
[3,6,5,7,2,4,1]=>[6,3,5,2,4,1,7]=>{{1,6},{2,3,5},{4},{7}}=>{{1},{2,7},{3,5,6},{4}}
[3,6,5,7,4,1,2]=>[3,6,5,1,4,2,7]=>{{1,3,5},{2,6},{4},{7}}=>{{1},{2,6},{3,5,7},{4}}
[3,6,5,7,4,2,1]=>[6,5,3,2,4,1,7]=>{{1,6},{2,5},{3},{4},{7}}=>{{1},{2,7},{3,6},{4},{5}}
[3,6,7,1,2,4,5]=>[1,3,6,7,2,4,5]=>{{1},{2,3,6},{4,7},{5}}=>{{1,4},{2,5,6},{3},{7}}
[3,6,7,1,2,5,4]=>[6,3,5,7,1,2,4]=>{{1,6},{2,3,5},{4,7}}=>{{1,4},{2,7},{3,5,6}}
[3,6,7,1,4,2,5]=>[3,6,4,7,1,2,5]=>{{1,3,4,7},{2,6},{5}}=>{{1,4,5,7},{2,6},{3}}
[3,6,7,1,4,5,2]=>[6,3,4,7,1,2,5]=>{{1,6},{2,3,4,7},{5}}=>{{1,4,5,6},{2,7},{3}}
[3,6,7,1,5,2,4]=>[3,6,5,7,1,2,4]=>{{1,3,5},{2,6},{4,7}}=>{{1,4},{2,6},{3,5,7}}
[3,6,7,1,5,4,2]=>[6,5,3,4,1,2,7]=>{{1,6},{2,5},{3},{4},{7}}=>{{1},{2,7},{3,6},{4},{5}}
[3,6,7,2,1,4,5]=>[3,6,7,2,1,4,5]=>{{1,3,7},{2,6},{4},{5}}=>{{1,5,7},{2,6},{3},{4}}
[3,6,7,2,1,5,4]=>[3,2,6,5,1,4,7]=>{{1,3,6},{2},{4,5},{7}}=>{{1},{2,5,7},{3,4},{6}}
[3,6,7,2,4,1,5]=>[3,6,2,7,1,4,5]=>{{1,3},{2,6},{4,7},{5}}=>{{1,4},{2,6},{3},{5,7}}
[3,6,7,2,4,5,1]=>[3,2,6,7,1,4,5]=>{{1,3,6},{2},{4,7},{5}}=>{{1,4},{2,5,7},{3},{6}}
[3,6,7,2,5,1,4]=>[3,6,2,5,1,4,7]=>{{1,3},{2,6},{4,5},{7}}=>{{1},{2,6},{3,4},{5,7}}
[3,6,7,2,5,4,1]=>[6,3,2,5,1,4,7]=>{{1,6},{2,3},{4,5},{7}}=>{{1},{2,7},{3,4},{5,6}}
[3,6,7,4,1,2,5]=>[3,6,7,4,1,2,5]=>{{1,3,7},{2,6},{4},{5}}=>{{1,5,7},{2,6},{3},{4}}
[3,6,7,4,1,5,2]=>[6,3,7,4,1,2,5]=>{{1,6},{2,3,7},{4},{5}}=>{{1,5,6},{2,7},{3},{4}}
[3,6,7,4,2,1,5]=>[6,7,3,2,1,4,5]=>{{1,6},{2,7},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}
[3,6,7,4,2,5,1]=>[6,3,7,2,1,4,5]=>{{1,6},{2,3,7},{4},{5}}=>{{1,5,6},{2,7},{3},{4}}
[3,6,7,4,5,1,2]=>[6,7,3,4,1,2,5]=>{{1,6},{2,7},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}
[3,6,7,4,5,2,1]=>[6,3,2,7,1,4,5]=>{{1,6},{2,3},{4,7},{5}}=>{{1,4},{2,7},{3},{5,6}}
[3,6,7,5,1,2,4]=>[3,6,7,5,1,2,4]=>{{1,3,7},{2,6},{4,5}}=>{{1,5,7},{2,6},{3,4}}
[3,6,7,5,1,4,2]=>[6,3,5,4,1,2,7]=>{{1,6},{2,3,5},{4},{7}}=>{{1},{2,7},{3,5,6},{4}}
[3,6,7,5,2,1,4]=>[3,6,5,2,1,4,7]=>{{1,3,5},{2,6},{4},{7}}=>{{1},{2,6},{3,5,7},{4}}
[3,6,7,5,2,4,1]=>[6,3,5,2,1,4,7]=>{{1,6},{2,3,5},{4},{7}}=>{{1},{2,7},{3,5,6},{4}}
[3,6,7,5,4,1,2]=>[3,6,5,4,1,2,7]=>{{1,3,5},{2,6},{4},{7}}=>{{1},{2,6},{3,5,7},{4}}
[3,6,7,5,4,2,1]=>[6,5,3,2,1,4,7]=>{{1,6},{2,5},{3},{4},{7}}=>{{1},{2,7},{3,6},{4},{5}}
[3,7,1,2,4,5,6]=>[1,3,4,5,7,2,6]=>{{1},{2,3,4,5,7},{6}}=>{{1,3,4,5,6},{2},{7}}
[3,7,1,2,4,6,5]=>[7,1,3,4,6,2,5]=>{{1,7},{2},{3},{4},{5,6}}=>{{1,7},{2,3},{4},{5},{6}}
[3,7,1,2,5,4,6]=>[1,7,3,5,6,2,4]=>{{1},{2,7},{3},{4,5,6}}=>{{1,6},{2,3,4},{5},{7}}
[3,7,1,2,5,6,4]=>[7,1,3,5,6,2,4]=>{{1,7},{2},{3},{4,5,6}}=>{{1,7},{2,3,4},{5},{6}}
[3,7,1,2,6,4,5]=>[1,7,3,4,6,2,5]=>{{1},{2,7},{3},{4},{5,6}}=>{{1,6},{2,3},{4},{5},{7}}
[3,7,1,2,6,5,4]=>[7,6,1,3,5,2,4]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[3,7,1,4,2,5,6]=>[3,4,7,5,6,1,2]=>{{1,3,7},{2,4,5,6}}=>{{1,5,7},{2,3,4,6}}
[3,7,1,4,2,6,5]=>[3,1,7,4,6,2,5]=>{{1,3,7},{2},{4},{5,6}}=>{{1,5,7},{2,3},{4},{6}}
[3,7,1,4,5,2,6]=>[3,7,4,5,6,1,2]=>{{1,3,4,5,6},{2,7}}=>{{1,6},{2,3,4,5,7}}
[3,7,1,4,5,6,2]=>[7,3,4,5,6,1,2]=>{{1,7},{2,3,4,5,6}}=>{{1,7},{2,3,4,5,6}}
[3,7,1,4,6,2,5]=>[3,7,1,4,6,2,5]=>{{1,3},{2,7},{4},{5,6}}=>{{1,6},{2,3},{4},{5,7}}
[3,7,1,4,6,5,2]=>[7,6,3,4,5,1,2]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[3,7,1,5,2,4,6]=>[1,3,7,5,6,2,4]=>{{1},{2,3,7},{4,5,6}}=>{{1,5,6},{2,3,4},{7}}
[3,7,1,5,2,6,4]=>[3,1,7,5,6,2,4]=>{{1,3,7},{2},{4,5,6}}=>{{1,5,7},{2,3,4},{6}}
[3,7,1,5,4,2,6]=>[3,7,5,4,6,1,2]=>{{1,3,5,6},{2,7},{4}}=>{{1,6},{2,3,5,7},{4}}
[3,7,1,5,4,6,2]=>[7,3,5,4,6,1,2]=>{{1,7},{2,3,5,6},{4}}=>{{1,7},{2,3,5,6},{4}}
[3,7,1,5,6,2,4]=>[3,7,1,5,6,2,4]=>{{1,3},{2,7},{4,5,6}}=>{{1,6},{2,3,4},{5,7}}
[3,7,1,5,6,4,2]=>[7,5,3,4,6,1,2]=>{{1,7},{2,5,6},{3},{4}}=>{{1,7},{2,3,6},{4},{5}}
[3,7,1,6,2,4,5]=>[1,3,7,4,6,2,5]=>{{1},{2,3,7},{4},{5,6}}=>{{1,5,6},{2,3},{4},{7}}
[3,7,1,6,2,5,4]=>[7,1,6,3,5,2,4]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,7},{2,5},{3},{4},{6}}
[3,7,1,6,4,2,5]=>[3,7,6,4,5,1,2]=>{{1,3,6},{2,7},{4},{5}}=>{{1,6},{2,5,7},{3},{4}}
[3,7,1,6,4,5,2]=>[7,3,6,4,5,1,2]=>{{1,7},{2,3,6},{4},{5}}=>{{1,7},{2,5,6},{3},{4}}
[3,7,1,6,5,2,4]=>[1,7,6,3,5,2,4]=>{{1},{2,7},{3,6},{4},{5}}=>{{1,6},{2,5},{3},{4},{7}}
[3,7,1,6,5,4,2]=>[7,6,5,3,4,1,2]=>{{1,7},{2,6},{3,5},{4}}=>{{1,7},{2,6},{3,5},{4}}
[3,7,2,1,4,5,6]=>[3,4,5,7,2,1,6]=>{{1,3,5},{2,4,7},{6}}=>{{1,4,6},{2},{3,5,7}}
[3,7,2,1,4,6,5]=>[3,2,4,7,6,1,5]=>{{1,3,4,7},{2},{5,6}}=>{{1,4,5,7},{2,3},{6}}
[3,7,2,1,5,4,6]=>[3,5,2,7,6,1,4]=>{{1,3},{2,5,6},{4,7}}=>{{1,4},{2,3,6},{5,7}}
[3,7,2,1,5,6,4]=>[3,2,5,7,6,1,4]=>{{1,3,5,6},{2},{4,7}}=>{{1,4},{2,3,5,7},{6}}
[3,7,2,1,6,4,5]=>[3,4,2,7,6,1,5]=>{{1,3},{2,4,7},{5,6}}=>{{1,4,6},{2,3},{5,7}}
[3,7,2,1,6,5,4]=>[7,3,2,6,5,1,4]=>{{1,7},{2,3},{4,6},{5}}=>{{1,7},{2,4},{3},{5,6}}
[3,7,2,4,1,5,6]=>[3,4,5,2,7,1,6]=>{{1,3,5,7},{2,4},{6}}=>{{1,3,5,7},{2},{4,6}}
[3,7,2,4,1,6,5]=>[3,2,7,4,6,1,5]=>{{1,3,7},{2},{4},{5,6}}=>{{1,5,7},{2,3},{4},{6}}
[3,7,2,4,5,1,6]=>[3,4,2,5,7,1,6]=>{{1,3},{2,4,5,7},{6}}=>{{1,3,4,6},{2},{5,7}}
[3,7,2,4,5,6,1]=>[3,2,4,5,7,1,6]=>{{1,3,4,5,7},{2},{6}}=>{{1,3,4,5,7},{2},{6}}
[3,7,2,4,6,1,5]=>[3,7,2,4,6,1,5]=>{{1,3},{2,7},{4},{5,6}}=>{{1,6},{2,3},{4},{5,7}}
[3,7,2,4,6,5,1]=>[7,3,2,4,6,1,5]=>{{1,7},{2,3},{4},{5,6}}=>{{1,7},{2,3},{4},{5,6}}
[3,7,2,5,1,4,6]=>[3,5,7,2,6,1,4]=>{{1,3,7},{2,5,6},{4}}=>{{1,5,7},{2,3,6},{4}}
[3,7,2,5,1,6,4]=>[3,2,7,5,6,1,4]=>{{1,3,7},{2},{4,5,6}}=>{{1,5,7},{2,3,4},{6}}
[3,7,2,5,4,1,6]=>[3,7,5,2,6,1,4]=>{{1,3,5,6},{2,7},{4}}=>{{1,6},{2,3,5,7},{4}}
[3,7,2,5,4,6,1]=>[7,3,5,2,6,1,4]=>{{1,7},{2,3,5,6},{4}}=>{{1,7},{2,3,5,6},{4}}
[3,7,2,5,6,1,4]=>[3,7,2,5,6,1,4]=>{{1,3},{2,7},{4,5,6}}=>{{1,6},{2,3,4},{5,7}}
[3,7,2,5,6,4,1]=>[7,3,2,5,6,1,4]=>{{1,7},{2,3},{4,5,6}}=>{{1,7},{2,3,4},{5,6}}
[3,7,2,6,1,4,5]=>[3,4,7,2,6,1,5]=>{{1,3,7},{2,4},{5,6}}=>{{1,5,7},{2,3},{4,6}}
[3,7,2,6,1,5,4]=>[7,3,6,2,5,1,4]=>{{1,7},{2,3,6},{4},{5}}=>{{1,7},{2,5,6},{3},{4}}
[3,7,2,6,4,1,5]=>[3,7,4,2,6,1,5]=>{{1,3,4},{2,7},{5,6}}=>{{1,6},{2,3},{4,5,7}}
[3,7,2,6,4,5,1]=>[7,3,4,2,6,1,5]=>{{1,7},{2,3,4},{5,6}}=>{{1,7},{2,3},{4,5,6}}
[3,7,2,6,5,1,4]=>[3,7,6,2,5,1,4]=>{{1,3,6},{2,7},{4},{5}}=>{{1,6},{2,5,7},{3},{4}}
[3,7,2,6,5,4,1]=>[7,6,3,2,5,1,4]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[3,7,4,1,2,5,6]=>[3,4,5,7,6,1,2]=>{{1,3,5,6},{2,4,7}}=>{{1,4,6},{2,3,5,7}}
[3,7,4,1,2,6,5]=>[3,1,4,7,6,2,5]=>{{1,3,4,7},{2},{5,6}}=>{{1,4,5,7},{2,3},{6}}
[3,7,4,1,5,2,6]=>[3,4,1,7,5,2,6]=>{{1,3},{2,4,7},{5},{6}}=>{{1,4,6},{2},{3},{5,7}}
[3,7,4,1,5,6,2]=>[3,1,4,7,5,2,6]=>{{1,3,4,7},{2},{5},{6}}=>{{1,4,5,7},{2},{3},{6}}
[3,7,4,1,6,2,5]=>[3,4,1,7,6,2,5]=>{{1,3},{2,4,7},{5,6}}=>{{1,4,6},{2,3},{5,7}}
[3,7,4,1,6,5,2]=>[7,3,1,6,4,2,5]=>{{1,7},{2,3},{4,6},{5}}=>{{1,7},{2,4},{3},{5,6}}
[3,7,4,2,1,5,6]=>[3,4,7,5,2,1,6]=>{{1,3,7},{2,4,5},{6}}=>{{1,5,7},{2},{3,4,6}}
[3,7,4,2,1,6,5]=>[3,2,7,6,4,1,5]=>{{1,3,7},{2},{4,6},{5}}=>{{1,5,7},{2,4},{3},{6}}
[3,7,4,2,5,1,6]=>[3,7,4,5,2,1,6]=>{{1,3,4,5},{2,7},{6}}=>{{1,6},{2},{3,4,5,7}}
[3,7,4,2,5,6,1]=>[7,3,4,5,2,1,6]=>{{1,7},{2,3,4,5},{6}}=>{{1,7},{2},{3,4,5,6}}
[3,7,4,2,6,1,5]=>[3,7,2,6,4,1,5]=>{{1,3},{2,7},{4,6},{5}}=>{{1,6},{2,4},{3},{5,7}}
[3,7,4,2,6,5,1]=>[7,3,2,6,4,1,5]=>{{1,7},{2,3},{4,6},{5}}=>{{1,7},{2,4},{3},{5,6}}
[3,7,4,5,1,2,6]=>[3,4,7,1,5,2,6]=>{{1,3,7},{2,4},{5},{6}}=>{{1,5,7},{2},{3},{4,6}}
[3,7,4,5,1,6,2]=>[3,1,7,4,5,2,6]=>{{1,3,7},{2},{4},{5},{6}}=>{{1,5,7},{2},{3},{4},{6}}
[3,7,4,5,2,1,6]=>[3,7,4,2,5,1,6]=>{{1,3,4},{2,7},{5},{6}}=>{{1,6},{2},{3},{4,5,7}}
[3,7,4,5,2,6,1]=>[7,3,4,2,5,1,6]=>{{1,7},{2,3,4},{5},{6}}=>{{1,7},{2},{3},{4,5,6}}
[3,7,4,5,6,1,2]=>[3,7,1,4,5,2,6]=>{{1,3},{2,7},{4},{5},{6}}=>{{1,6},{2},{3},{4},{5,7}}
[3,7,4,5,6,2,1]=>[7,3,2,4,5,1,6]=>{{1,7},{2,3},{4},{5},{6}}=>{{1,7},{2},{3},{4},{5,6}}
[3,7,4,6,1,2,5]=>[3,4,7,1,6,2,5]=>{{1,3,7},{2,4},{5,6}}=>{{1,5,7},{2,3},{4,6}}
[3,7,4,6,1,5,2]=>[7,3,6,1,4,2,5]=>{{1,7},{2,3,6},{4},{5}}=>{{1,7},{2,5,6},{3},{4}}
[3,7,4,6,2,1,5]=>[3,7,6,2,4,1,5]=>{{1,3,6},{2,7},{4},{5}}=>{{1,6},{2,5,7},{3},{4}}
[3,7,4,6,2,5,1]=>[7,3,6,2,4,1,5]=>{{1,7},{2,3,6},{4},{5}}=>{{1,7},{2,5,6},{3},{4}}
[3,7,4,6,5,1,2]=>[3,7,6,1,4,2,5]=>{{1,3,6},{2,7},{4},{5}}=>{{1,6},{2,5,7},{3},{4}}
[3,7,4,6,5,2,1]=>[7,6,3,2,4,1,5]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[3,7,5,1,2,4,6]=>[1,3,5,7,6,2,4]=>{{1},{2,3,5,6},{4,7}}=>{{1,4},{2,3,5,6},{7}}
[3,7,5,1,2,6,4]=>[3,1,5,7,6,2,4]=>{{1,3,5,6},{2},{4,7}}=>{{1,4},{2,3,5,7},{6}}
[3,7,5,1,4,2,6]=>[3,7,5,6,4,1,2]=>{{1,3,5},{2,7},{4,6}}=>{{1,6},{2,4},{3,5,7}}
[3,7,5,1,4,6,2]=>[7,3,5,6,4,1,2]=>{{1,7},{2,3,5},{4,6}}=>{{1,7},{2,4},{3,5,6}}
[3,7,5,1,6,2,4]=>[3,5,1,7,6,2,4]=>{{1,3},{2,5,6},{4,7}}=>{{1,4},{2,3,6},{5,7}}
[3,7,5,1,6,4,2]=>[7,3,1,5,4,2,6]=>{{1,7},{2,3},{4,5},{6}}=>{{1,7},{2},{3,4},{5,6}}
[3,7,5,2,1,4,6]=>[3,5,7,6,2,1,4]=>{{1,3,7},{2,5},{4,6}}=>{{1,5,7},{2,4},{3,6}}
[3,7,5,2,1,6,4]=>[3,2,7,5,4,1,6]=>{{1,3,7},{2},{4,5},{6}}=>{{1,5,7},{2},{3,4},{6}}
[3,7,5,2,4,1,6]=>[3,7,5,6,2,1,4]=>{{1,3,5},{2,7},{4,6}}=>{{1,6},{2,4},{3,5,7}}
[3,7,5,2,4,6,1]=>[7,3,5,6,2,1,4]=>{{1,7},{2,3,5},{4,6}}=>{{1,7},{2,4},{3,5,6}}
[3,7,5,2,6,1,4]=>[3,7,2,5,4,1,6]=>{{1,3},{2,7},{4,5},{6}}=>{{1,6},{2},{3,4},{5,7}}
[3,7,5,2,6,4,1]=>[7,3,2,5,4,1,6]=>{{1,7},{2,3},{4,5},{6}}=>{{1,7},{2},{3,4},{5,6}}
[3,7,5,4,1,2,6]=>[3,5,7,6,4,1,2]=>{{1,3,7},{2,5},{4,6}}=>{{1,5,7},{2,4},{3,6}}
[3,7,5,4,1,6,2]=>[3,1,7,5,4,2,6]=>{{1,3,7},{2},{4,5},{6}}=>{{1,5,7},{2},{3,4},{6}}
[3,7,5,4,2,1,6]=>[3,7,5,4,2,1,6]=>{{1,3,5},{2,7},{4},{6}}=>{{1,6},{2},{3,5,7},{4}}
[3,7,5,4,2,6,1]=>[7,3,5,4,2,1,6]=>{{1,7},{2,3,5},{4},{6}}=>{{1,7},{2},{3,5,6},{4}}
[3,7,5,4,6,1,2]=>[3,7,1,5,4,2,6]=>{{1,3},{2,7},{4,5},{6}}=>{{1,6},{2},{3,4},{5,7}}
[3,7,5,4,6,2,1]=>[7,5,3,4,2,1,6]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,7},{2},{3,6},{4},{5}}
[3,7,5,6,1,2,4]=>[3,5,7,1,6,2,4]=>{{1,3,7},{2,5,6},{4}}=>{{1,5,7},{2,3,6},{4}}
[3,7,5,6,1,4,2]=>[7,3,5,1,4,2,6]=>{{1,7},{2,3,5},{4},{6}}=>{{1,7},{2},{3,5,6},{4}}
[3,7,5,6,2,1,4]=>[3,7,5,2,4,1,6]=>{{1,3,5},{2,7},{4},{6}}=>{{1,6},{2},{3,5,7},{4}}
[3,7,5,6,2,4,1]=>[7,3,5,2,4,1,6]=>{{1,7},{2,3,5},{4},{6}}=>{{1,7},{2},{3,5,6},{4}}
[3,7,5,6,4,1,2]=>[3,7,5,1,4,2,6]=>{{1,3,5},{2,7},{4},{6}}=>{{1,6},{2},{3,5,7},{4}}
[3,7,5,6,4,2,1]=>[7,5,3,2,4,1,6]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,7},{2},{3,6},{4},{5}}
[3,7,6,1,2,4,5]=>[1,3,4,7,6,2,5]=>{{1},{2,3,4,7},{5,6}}=>{{1,4,5,6},{2,3},{7}}
[3,7,6,1,2,5,4]=>[7,1,3,6,5,2,4]=>{{1,7},{2},{3},{4,6},{5}}=>{{1,7},{2,4},{3},{5},{6}}
[3,7,6,1,4,2,5]=>[3,7,4,6,5,1,2]=>{{1,3,4,6},{2,7},{5}}=>{{1,6},{2,4,5,7},{3}}
[3,7,6,1,4,5,2]=>[7,3,4,6,5,1,2]=>{{1,7},{2,3,4,6},{5}}=>{{1,7},{2,4,5,6},{3}}
[3,7,6,1,5,2,4]=>[1,7,3,6,5,2,4]=>{{1},{2,7},{3},{4,6},{5}}=>{{1,6},{2,4},{3},{5},{7}}
[3,7,6,1,5,4,2]=>[7,6,3,5,4,1,2]=>{{1,7},{2,6},{3},{4,5}}=>{{1,7},{2,6},{3,4},{5}}
[3,7,6,2,1,4,5]=>[3,4,7,6,2,1,5]=>{{1,3,7},{2,4,6},{5}}=>{{1,5,7},{2,4,6},{3}}
[3,7,6,2,1,5,4]=>[3,2,7,6,5,1,4]=>{{1,3,7},{2},{4,6},{5}}=>{{1,5,7},{2,4},{3},{6}}
[3,7,6,2,4,1,5]=>[3,7,4,6,2,1,5]=>{{1,3,4,6},{2,7},{5}}=>{{1,6},{2,4,5,7},{3}}
[3,7,6,2,4,5,1]=>[7,3,4,6,2,1,5]=>{{1,7},{2,3,4,6},{5}}=>{{1,7},{2,4,5,6},{3}}
[3,7,6,2,5,1,4]=>[3,7,2,6,5,1,4]=>{{1,3},{2,7},{4,6},{5}}=>{{1,6},{2,4},{3},{5,7}}
[3,7,6,2,5,4,1]=>[7,6,3,5,2,1,4]=>{{1,7},{2,6},{3},{4,5}}=>{{1,7},{2,6},{3,4},{5}}
[3,7,6,4,1,2,5]=>[3,4,7,6,5,1,2]=>{{1,3,7},{2,4,6},{5}}=>{{1,5,7},{2,4,6},{3}}
[3,7,6,4,1,5,2]=>[3,1,7,6,4,2,5]=>{{1,3,7},{2},{4,6},{5}}=>{{1,5,7},{2,4},{3},{6}}
[3,7,6,4,2,1,5]=>[3,7,6,4,2,1,5]=>{{1,3,6},{2,7},{4},{5}}=>{{1,6},{2,5,7},{3},{4}}
[3,7,6,4,2,5,1]=>[7,3,6,4,2,1,5]=>{{1,7},{2,3,6},{4},{5}}=>{{1,7},{2,5,6},{3},{4}}
[3,7,6,4,5,1,2]=>[3,7,1,6,4,2,5]=>{{1,3},{2,7},{4,6},{5}}=>{{1,6},{2,4},{3},{5,7}}
[3,7,6,4,5,2,1]=>[7,6,3,4,2,1,5]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[3,7,6,5,1,2,4]=>[1,3,7,6,5,2,4]=>{{1},{2,3,7},{4,6},{5}}=>{{1,5,6},{2,4},{3},{7}}
[3,7,6,5,1,4,2]=>[7,3,6,5,4,1,2]=>{{1,7},{2,3,6},{4,5}}=>{{1,7},{2,5,6},{3,4}}
[3,7,6,5,2,1,4]=>[3,7,6,5,2,1,4]=>{{1,3,6},{2,7},{4,5}}=>{{1,6},{2,5,7},{3,4}}
[3,7,6,5,2,4,1]=>[7,3,6,5,2,1,4]=>{{1,7},{2,3,6},{4,5}}=>{{1,7},{2,5,6},{3,4}}
[3,7,6,5,4,1,2]=>[3,7,6,5,4,1,2]=>{{1,3,6},{2,7},{4,5}}=>{{1,6},{2,5,7},{3,4}}
[3,7,6,5,4,2,1]=>[7,6,5,3,2,1,4]=>{{1,7},{2,6},{3,5},{4}}=>{{1,7},{2,6},{3,5},{4}}
[4,1,2,3,5,6,7]=>[1,2,4,5,6,7,3]=>{{1},{2},{3,4,5,6,7}}=>{{1,2,3,4,5},{6},{7}}
[4,1,2,3,5,7,6]=>[4,1,2,3,5,7,6]=>{{1,4},{2},{3},{5},{6,7}}=>{{1,2},{3},{4,7},{5},{6}}
[4,1,2,3,6,5,7]=>[1,4,2,3,6,7,5]=>{{1},{2,4},{3},{5,6,7}}=>{{1,2,3},{4,6},{5},{7}}
[4,1,2,3,6,7,5]=>[4,1,2,3,6,7,5]=>{{1,4},{2},{3},{5,6,7}}=>{{1,2,3},{4,7},{5},{6}}
[4,1,2,3,7,5,6]=>[1,4,2,3,5,7,6]=>{{1},{2,4},{3},{5},{6,7}}=>{{1,2},{3},{4,6},{5},{7}}
[4,1,2,3,7,6,5]=>[7,4,1,2,3,6,5]=>{{1,7},{2,4},{3},{5},{6}}=>{{1,7},{2},{3},{4,6},{5}}
[4,1,2,5,3,6,7]=>[1,4,5,2,6,7,3]=>{{1},{2,4},{3,5,6,7}}=>{{1,2,3,5},{4,6},{7}}
[4,1,2,5,3,7,6]=>[4,1,5,2,3,7,6]=>{{1,4},{2},{3,5},{6,7}}=>{{1,2},{3,5},{4,7},{6}}
[4,1,2,5,6,3,7]=>[1,4,2,5,6,7,3]=>{{1},{2,4,5,6,7},{3}}=>{{1,2,3,4,6},{5},{7}}
[4,1,2,5,6,7,3]=>[4,1,2,5,6,7,3]=>{{1,4,5,6,7},{2},{3}}=>{{1,2,3,4,7},{5},{6}}
[4,1,2,5,7,3,6]=>[4,5,1,2,3,7,6]=>{{1,4},{2,5},{3},{6,7}}=>{{1,2},{3,6},{4,7},{5}}
[4,1,2,5,7,6,3]=>[7,4,1,2,5,6,3]=>{{1,7},{2,4},{3},{5},{6}}=>{{1,7},{2},{3},{4,6},{5}}
[4,1,2,6,3,5,7]=>[1,2,4,3,6,7,5]=>{{1},{2},{3,4},{5,6,7}}=>{{1,2,3},{4,5},{6},{7}}
[4,1,2,6,3,7,5]=>[4,1,6,2,3,7,5]=>{{1,4},{2},{3,6,7},{5}}=>{{1,2,5},{3},{4,7},{6}}
[4,1,2,6,5,3,7]=>[1,6,4,2,5,7,3]=>{{1},{2,6,7},{3,4},{5}}=>{{1,2,6},{3},{4,5},{7}}
[4,1,2,6,5,7,3]=>[6,1,4,2,5,7,3]=>{{1,6,7},{2},{3,4},{5}}=>{{1,2,7},{3},{4,5},{6}}
[4,1,2,6,7,3,5]=>[4,6,1,2,3,7,5]=>{{1,4},{2,6,7},{3},{5}}=>{{1,2,6},{3},{4,7},{5}}
[4,1,2,6,7,5,3]=>[6,4,1,2,5,7,3]=>{{1,6,7},{2,4},{3},{5}}=>{{1,2,7},{3},{4,6},{5}}
[4,1,2,7,3,5,6]=>[1,2,4,3,5,7,6]=>{{1},{2},{3,4},{5},{6,7}}=>{{1,2},{3},{4,5},{6},{7}}
[4,1,2,7,3,6,5]=>[7,1,4,2,3,6,5]=>{{1,7},{2},{3,4},{5},{6}}=>{{1,7},{2},{3},{4,5},{6}}
[4,1,2,7,5,3,6]=>[1,7,4,2,5,6,3]=>{{1},{2,7},{3,4},{5},{6}}=>{{1,6},{2},{3},{4,5},{7}}
[4,1,2,7,5,6,3]=>[7,1,4,2,5,6,3]=>{{1,7},{2},{3,4},{5},{6}}=>{{1,7},{2},{3},{4,5},{6}}
[4,1,2,7,6,3,5]=>[1,7,4,2,3,6,5]=>{{1},{2,7},{3,4},{5},{6}}=>{{1,6},{2},{3},{4,5},{7}}
[4,1,2,7,6,5,3]=>[7,6,4,1,2,5,3]=>{{1,7},{2,6},{3,4},{5}}=>{{1,7},{2,6},{3},{4,5}}
[4,1,3,2,5,6,7]=>[1,4,5,6,3,7,2]=>{{1},{2,4,6,7},{3,5}}=>{{1,2,4,6},{3,5},{7}}
[4,1,3,2,5,7,6]=>[4,1,3,7,5,6,2]=>{{1,4,7},{2},{3},{5},{6}}=>{{1,4,7},{2},{3},{5},{6}}
[4,1,3,2,6,5,7]=>[1,4,3,6,5,7,2]=>{{1},{2,4,6,7},{3},{5}}=>{{1,2,4,6},{3},{5},{7}}
[4,1,3,2,6,7,5]=>[4,1,3,6,5,7,2]=>{{1,4,6,7},{2},{3},{5}}=>{{1,2,4,7},{3},{5},{6}}
[4,1,3,2,7,5,6]=>[1,4,3,7,5,6,2]=>{{1},{2,4,7},{3},{5},{6}}=>{{1,4,6},{2},{3},{5},{7}}
[4,1,3,2,7,6,5]=>[4,3,1,7,2,6,5]=>{{1,4,7},{2,3},{5},{6}}=>{{1,4,7},{2},{3},{5,6}}
[4,1,3,5,2,6,7]=>[1,4,5,3,6,7,2]=>{{1},{2,4},{3,5,6,7}}=>{{1,2,3,5},{4,6},{7}}
[4,1,3,5,2,7,6]=>[4,1,7,3,5,6,2]=>{{1,4},{2},{3,7},{5},{6}}=>{{1,5},{2},{3},{4,7},{6}}
[4,1,3,5,6,2,7]=>[1,4,3,5,6,7,2]=>{{1},{2,4,5,6,7},{3}}=>{{1,2,3,4,6},{5},{7}}
[4,1,3,5,6,7,2]=>[4,1,3,5,6,7,2]=>{{1,4,5,6,7},{2},{3}}=>{{1,2,3,4,7},{5},{6}}
[4,1,3,5,7,2,6]=>[4,7,1,3,5,6,2]=>{{1,4},{2,7},{3},{5},{6}}=>{{1,6},{2},{3},{4,7},{5}}
[4,1,3,5,7,6,2]=>[4,3,1,2,5,7,6]=>{{1,4},{2,3},{5},{6,7}}=>{{1,2},{3},{4,7},{5,6}}
[4,1,3,6,2,5,7]=>[1,4,6,3,5,7,2]=>{{1},{2,4},{3,6,7},{5}}=>{{1,2,5},{3},{4,6},{7}}
[4,1,3,6,2,7,5]=>[4,1,6,3,5,7,2]=>{{1,4},{2},{3,6,7},{5}}=>{{1,2,5},{3},{4,7},{6}}
[4,1,3,6,5,2,7]=>[1,4,3,2,6,7,5]=>{{1},{2,4},{3},{5,6,7}}=>{{1,2,3},{4,6},{5},{7}}
[4,1,3,6,5,7,2]=>[4,1,3,2,6,7,5]=>{{1,4},{2},{3},{5,6,7}}=>{{1,2,3},{4,7},{5},{6}}
[4,1,3,6,7,2,5]=>[4,6,1,3,5,7,2]=>{{1,4},{2,6,7},{3},{5}}=>{{1,2,6},{3},{4,7},{5}}
[4,1,3,6,7,5,2]=>[4,3,1,2,6,7,5]=>{{1,4},{2,3},{5,6,7}}=>{{1,2,3},{4,7},{5,6}}
[4,1,3,7,2,5,6]=>[1,4,7,3,5,6,2]=>{{1},{2,4},{3,7},{5},{6}}=>{{1,5},{2},{3},{4,6},{7}}
[4,1,3,7,2,6,5]=>[4,3,7,1,2,6,5]=>{{1,4},{2,3,7},{5},{6}}=>{{1,5,6},{2},{3},{4,7}}
[4,1,3,7,5,2,6]=>[1,4,3,2,5,7,6]=>{{1},{2,4},{3},{5},{6,7}}=>{{1,2},{3},{4,6},{5},{7}}
[4,1,3,7,5,6,2]=>[4,1,3,2,5,7,6]=>{{1,4},{2},{3},{5},{6,7}}=>{{1,2},{3},{4,7},{5},{6}}
[4,1,3,7,6,2,5]=>[4,7,3,1,2,6,5]=>{{1,4},{2,7},{3},{5},{6}}=>{{1,6},{2},{3},{4,7},{5}}
[4,1,3,7,6,5,2]=>[7,4,3,1,2,6,5]=>{{1,7},{2,4},{3},{5},{6}}=>{{1,7},{2},{3},{4,6},{5}}
[4,1,5,2,3,6,7]=>[1,4,5,6,2,7,3]=>{{1},{2,4,6,7},{3,5}}=>{{1,2,4,6},{3,5},{7}}
[4,1,5,2,3,7,6]=>[4,1,2,5,3,7,6]=>{{1,4,5},{2},{3},{6,7}}=>{{1,2},{3,4,7},{5},{6}}
[4,1,5,2,6,3,7]=>[4,5,1,6,2,7,3]=>{{1,4,6,7},{2,5},{3}}=>{{1,2,4,7},{3,6},{5}}
[4,1,5,2,6,7,3]=>[4,1,5,6,2,7,3]=>{{1,4,6,7},{2},{3,5}}=>{{1,2,4,7},{3,5},{6}}
[4,1,5,2,7,3,6]=>[1,4,2,5,3,7,6]=>{{1},{2,4,5},{3},{6,7}}=>{{1,2},{3,4,6},{5},{7}}
[4,1,5,2,7,6,3]=>[7,4,1,5,2,6,3]=>{{1,7},{2,4,5},{3},{6}}=>{{1,7},{2},{3,4,6},{5}}
[4,1,5,3,2,6,7]=>[4,5,6,3,1,7,2]=>{{1,4},{2,5},{3,6,7}}=>{{1,2,5},{3,6},{4,7}}
[4,1,5,3,2,7,6]=>[4,1,5,3,2,7,6]=>{{1,4},{2},{3,5},{6,7}}=>{{1,2},{3,5},{4,7},{6}}
[4,1,5,3,6,2,7]=>[4,5,3,6,1,7,2]=>{{1,4,6,7},{2,5},{3}}=>{{1,2,4,7},{3,6},{5}}
[4,1,5,3,6,7,2]=>[4,3,5,6,1,7,2]=>{{1,4,6,7},{2,3,5}}=>{{1,2,4,7},{3,5,6}}
[4,1,5,3,7,2,6]=>[4,5,1,3,2,7,6]=>{{1,4},{2,5},{3},{6,7}}=>{{1,2},{3,6},{4,7},{5}}
[4,1,5,3,7,6,2]=>[4,3,1,5,2,7,6]=>{{1,4,5},{2,3},{6,7}}=>{{1,2},{3,4,7},{5,6}}
[4,1,5,6,2,3,7]=>[4,5,6,1,2,7,3]=>{{1,4},{2,5},{3,6,7}}=>{{1,2,5},{3,6},{4,7}}
[4,1,5,6,2,7,3]=>[4,1,5,2,6,7,3]=>{{1,4},{2},{3,5,6,7}}=>{{1,2,3,5},{4,7},{6}}
[4,1,5,6,3,2,7]=>[4,5,3,1,6,7,2]=>{{1,4},{2,5,6,7},{3}}=>{{1,2,3,6},{4,7},{5}}
[4,1,5,6,3,7,2]=>[4,3,5,1,6,7,2]=>{{1,4},{2,3,5,6,7}}=>{{1,2,3,5,6},{4,7}}
[4,1,5,6,7,2,3]=>[4,5,1,2,6,7,3]=>{{1,4},{2,5,6,7},{3}}=>{{1,2,3,6},{4,7},{5}}
[4,1,5,6,7,3,2]=>[4,3,1,5,6,7,2]=>{{1,4,5,6,7},{2,3}}=>{{1,2,3,4,7},{5,6}}
[4,1,5,7,2,3,6]=>[1,4,5,2,3,7,6]=>{{1},{2,4},{3,5},{6,7}}=>{{1,2},{3,5},{4,6},{7}}
[4,1,5,7,2,6,3]=>[7,4,5,1,2,6,3]=>{{1,7},{2,4},{3,5},{6}}=>{{1,7},{2},{3,5},{4,6}}
[4,1,5,7,3,2,6]=>[4,5,3,1,2,7,6]=>{{1,4},{2,5},{3},{6,7}}=>{{1,2},{3,6},{4,7},{5}}
[4,1,5,7,3,6,2]=>[4,3,5,1,2,7,6]=>{{1,4},{2,3,5},{6,7}}=>{{1,2},{3,5,6},{4,7}}
[4,1,5,7,6,2,3]=>[4,7,5,1,2,6,3]=>{{1,4},{2,7},{3,5},{6}}=>{{1,6},{2},{3,5},{4,7}}
[4,1,5,7,6,3,2]=>[7,4,3,1,5,6,2]=>{{1,7},{2,4},{3},{5},{6}}=>{{1,7},{2},{3},{4,6},{5}}
[4,1,6,2,3,5,7]=>[1,2,4,6,3,7,5]=>{{1},{2},{3,4,6,7},{5}}=>{{1,2,4,5},{3},{6},{7}}
[4,1,6,2,3,7,5]=>[4,1,2,6,3,7,5]=>{{1,4,6,7},{2},{3},{5}}=>{{1,2,4,7},{3},{5},{6}}
[4,1,6,2,5,3,7]=>[1,6,4,5,2,7,3]=>{{1},{2,6,7},{3,4,5}}=>{{1,2,6},{3,4,5},{7}}
[4,1,6,2,5,7,3]=>[6,1,4,5,2,7,3]=>{{1,6,7},{2},{3,4,5}}=>{{1,2,7},{3,4,5},{6}}
[4,1,6,2,7,3,5]=>[1,4,2,6,3,7,5]=>{{1},{2,4,6,7},{3},{5}}=>{{1,2,4,6},{3},{5},{7}}
[4,1,6,2,7,5,3]=>[6,4,1,5,2,7,3]=>{{1,6,7},{2,4,5},{3}}=>{{1,2,7},{3,4,6},{5}}
[4,1,6,3,2,5,7]=>[1,4,6,3,2,7,5]=>{{1},{2,4},{3,6,7},{5}}=>{{1,2,5},{3},{4,6},{7}}
[4,1,6,3,2,7,5]=>[4,1,6,3,2,7,5]=>{{1,4},{2},{3,6,7},{5}}=>{{1,2,5},{3},{4,7},{6}}
[4,1,6,3,5,2,7]=>[1,4,3,6,2,7,5]=>{{1},{2,4,6,7},{3},{5}}=>{{1,2,4,6},{3},{5},{7}}
[4,1,6,3,5,7,2]=>[4,1,3,6,2,7,5]=>{{1,4,6,7},{2},{3},{5}}=>{{1,2,4,7},{3},{5},{6}}
[4,1,6,3,7,2,5]=>[4,6,1,3,2,7,5]=>{{1,4},{2,6,7},{3},{5}}=>{{1,2,6},{3},{4,7},{5}}
[4,1,6,3,7,5,2]=>[4,3,1,6,2,7,5]=>{{1,4,6,7},{2,3},{5}}=>{{1,2,4,7},{3},{5,6}}
[4,1,6,5,2,3,7]=>[1,4,6,5,2,7,3]=>{{1},{2,4,5},{3,6,7}}=>{{1,2,5},{3,4,6},{7}}
[4,1,6,5,2,7,3]=>[4,1,6,5,2,7,3]=>{{1,4,5},{2},{3,6,7}}=>{{1,2,5},{3,4,7},{6}}
[4,1,6,5,3,2,7]=>[4,6,5,3,1,7,2]=>{{1,4},{2,6,7},{3,5}}=>{{1,2,6},{3,5},{4,7}}
[4,1,6,5,3,7,2]=>[6,4,5,3,1,7,2]=>{{1,6,7},{2,4},{3,5}}=>{{1,2,7},{3,5},{4,6}}
[4,1,6,5,7,2,3]=>[4,6,1,5,2,7,3]=>{{1,4,5},{2,6,7},{3}}=>{{1,2,6},{3,4,7},{5}}
[4,1,6,5,7,3,2]=>[6,4,3,5,1,7,2]=>{{1,6,7},{2,4,5},{3}}=>{{1,2,7},{3,4,6},{5}}
[4,1,6,7,2,3,5]=>[1,4,6,2,3,7,5]=>{{1},{2,4},{3,6,7},{5}}=>{{1,2,5},{3},{4,6},{7}}
[4,1,6,7,2,5,3]=>[6,4,5,1,2,7,3]=>{{1,6,7},{2,4},{3,5}}=>{{1,2,7},{3,5},{4,6}}
[4,1,6,7,3,2,5]=>[4,6,3,1,2,7,5]=>{{1,4},{2,6,7},{3},{5}}=>{{1,2,6},{3},{4,7},{5}}
[4,1,6,7,3,5,2]=>[4,3,6,1,2,7,5]=>{{1,4},{2,3,6,7},{5}}=>{{1,2,5,6},{3},{4,7}}
[4,1,6,7,5,2,3]=>[4,6,5,1,2,7,3]=>{{1,4},{2,6,7},{3,5}}=>{{1,2,6},{3,5},{4,7}}
[4,1,6,7,5,3,2]=>[6,4,3,1,5,7,2]=>{{1,6,7},{2,4},{3},{5}}=>{{1,2,7},{3},{4,6},{5}}
[4,1,7,2,3,5,6]=>[1,2,4,5,3,7,6]=>{{1},{2},{3,4,5},{6,7}}=>{{1,2},{3,4,5},{6},{7}}
[4,1,7,2,3,6,5]=>[7,1,2,4,3,6,5]=>{{1,7},{2},{3},{4},{5},{6}}=>{{1,7},{2},{3},{4},{5},{6}}
[4,1,7,2,5,3,6]=>[1,7,4,5,2,6,3]=>{{1},{2,7},{3,4,5},{6}}=>{{1,6},{2},{3,4,5},{7}}
[4,1,7,2,5,6,3]=>[7,1,4,5,2,6,3]=>{{1,7},{2},{3,4,5},{6}}=>{{1,7},{2},{3,4,5},{6}}
[4,1,7,2,6,3,5]=>[1,7,2,4,3,6,5]=>{{1},{2,7},{3},{4},{5},{6}}=>{{1,6},{2},{3},{4},{5},{7}}
[4,1,7,2,6,5,3]=>[7,6,1,4,2,5,3]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[4,1,7,3,2,5,6]=>[1,4,5,3,2,7,6]=>{{1},{2,4},{3,5},{6,7}}=>{{1,2},{3,5},{4,6},{7}}
[4,1,7,3,2,6,5]=>[4,1,7,3,2,6,5]=>{{1,4},{2},{3,7},{5},{6}}=>{{1,5},{2},{3},{4,7},{6}}
[4,1,7,3,5,2,6]=>[1,4,3,5,2,7,6]=>{{1},{2,4,5},{3},{6,7}}=>{{1,2},{3,4,6},{5},{7}}
[4,1,7,3,5,6,2]=>[4,1,3,5,2,7,6]=>{{1,4,5},{2},{3},{6,7}}=>{{1,2},{3,4,7},{5},{6}}
[4,1,7,3,6,2,5]=>[4,7,1,3,2,6,5]=>{{1,4},{2,7},{3},{5},{6}}=>{{1,6},{2},{3},{4,7},{5}}
[4,1,7,3,6,5,2]=>[7,4,1,3,2,6,5]=>{{1,7},{2,4},{3},{5},{6}}=>{{1,7},{2},{3},{4,6},{5}}
[4,1,7,5,2,3,6]=>[1,4,7,5,2,6,3]=>{{1},{2,4,5},{3,7},{6}}=>{{1,5},{2},{3,4,6},{7}}
[4,1,7,5,2,6,3]=>[4,1,7,5,2,6,3]=>{{1,4,5},{2},{3,7},{6}}=>{{1,5},{2},{3,4,7},{6}}
[4,1,7,5,3,2,6]=>[4,7,5,3,1,6,2]=>{{1,4},{2,7},{3,5},{6}}=>{{1,6},{2},{3,5},{4,7}}
[4,1,7,5,3,6,2]=>[7,4,5,3,1,6,2]=>{{1,7},{2,4},{3,5},{6}}=>{{1,7},{2},{3,5},{4,6}}
[4,1,7,5,6,2,3]=>[4,7,1,5,2,6,3]=>{{1,4,5},{2,7},{3},{6}}=>{{1,6},{2},{3,4,7},{5}}
[4,1,7,5,6,3,2]=>[7,4,3,5,1,6,2]=>{{1,7},{2,4,5},{3},{6}}=>{{1,7},{2},{3,4,6},{5}}
[4,1,7,6,2,3,5]=>[1,2,7,4,3,6,5]=>{{1},{2},{3,7},{4},{5},{6}}=>{{1,5},{2},{3},{4},{6},{7}}
[4,1,7,6,2,5,3]=>[7,1,6,4,2,5,3]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,7},{2,5},{3},{4},{6}}
[4,1,7,6,3,2,5]=>[1,7,4,3,2,6,5]=>{{1},{2,7},{3,4},{5},{6}}=>{{1,6},{2},{3},{4,5},{7}}
[4,1,7,6,3,5,2]=>[7,1,4,3,2,6,5]=>{{1,7},{2},{3,4},{5},{6}}=>{{1,7},{2},{3},{4,5},{6}}
[4,1,7,6,5,2,3]=>[1,7,6,4,2,5,3]=>{{1},{2,7},{3,6},{4},{5}}=>{{1,6},{2,5},{3},{4},{7}}
[4,1,7,6,5,3,2]=>[7,6,4,3,1,5,2]=>{{1,7},{2,6},{3,4},{5}}=>{{1,7},{2,6},{3},{4,5}}
[4,2,1,3,5,6,7]=>[2,4,5,6,7,3,1]=>{{1,2,4,6},{3,5,7}}=>{{1,3,5},{2,4,6,7}}
[4,2,1,3,5,7,6]=>[4,2,3,5,7,6,1]=>{{1,4,5,7},{2},{3},{6}}=>{{1,3,4,7},{2},{5},{6}}
[4,2,1,3,6,5,7]=>[2,4,3,6,7,5,1]=>{{1,2,4,6},{3},{5,7}}=>{{1,3},{2,4,6,7},{5}}
[4,2,1,3,6,7,5]=>[4,2,3,6,7,5,1]=>{{1,4,6},{2},{3},{5,7}}=>{{1,3},{2,4,7},{5},{6}}
[4,2,1,3,7,5,6]=>[2,4,3,5,7,6,1]=>{{1,2,4,5,7},{3},{6}}=>{{1,3,4,6,7},{2},{5}}
[4,2,1,3,7,6,5]=>[4,2,1,3,7,6,5]=>{{1,4},{2},{3},{5,7},{6}}=>{{1,3},{2},{4,7},{5},{6}}
[4,2,1,5,3,6,7]=>[4,5,6,2,7,3,1]=>{{1,4},{2,5,7},{3,6}}=>{{1,3,6},{2,5},{4,7}}
[4,2,1,5,3,7,6]=>[4,2,5,3,7,6,1]=>{{1,4},{2},{3,5,7},{6}}=>{{1,3,5},{2},{4,7},{6}}
[4,2,1,5,6,3,7]=>[4,5,2,6,7,3,1]=>{{1,4,6},{2,5,7},{3}}=>{{1,3,6},{2,4,7},{5}}
[4,2,1,5,6,7,3]=>[4,2,5,6,7,3,1]=>{{1,4,6},{2},{3,5,7}}=>{{1,3,5},{2,4,7},{6}}
[4,2,1,5,7,3,6]=>[4,5,2,3,7,6,1]=>{{1,4},{2,5,7},{3},{6}}=>{{1,3,6},{2},{4,7},{5}}
[4,2,1,5,7,6,3]=>[4,2,1,5,7,6,3]=>{{1,4,5,7},{2},{3},{6}}=>{{1,3,4,7},{2},{5},{6}}
[4,2,1,6,3,5,7]=>[2,4,6,3,7,5,1]=>{{1,2,4},{3,6},{5,7}}=>{{1,3},{2,5},{4,6,7}}
[4,2,1,6,3,7,5]=>[4,2,6,3,7,5,1]=>{{1,4},{2},{3,6},{5,7}}=>{{1,3},{2,5},{4,7},{6}}
[4,2,1,6,5,3,7]=>[4,6,2,1,7,5,3]=>{{1,4},{2,6},{3},{5,7}}=>{{1,3},{2,6},{4,7},{5}}
[4,2,1,6,5,7,3]=>[4,2,6,1,7,5,3]=>{{1,4},{2},{3,6},{5,7}}=>{{1,3},{2,5},{4,7},{6}}
[4,2,1,6,7,3,5]=>[4,6,2,3,7,5,1]=>{{1,4},{2,6},{3},{5,7}}=>{{1,3},{2,6},{4,7},{5}}
[4,2,1,6,7,5,3]=>[4,2,1,6,7,5,3]=>{{1,4,6},{2},{3},{5,7}}=>{{1,3},{2,4,7},{5},{6}}
[4,2,1,7,3,5,6]=>[2,4,5,3,7,6,1]=>{{1,2,4},{3,5,7},{6}}=>{{1,3,5},{2},{4,6,7}}
[4,2,1,7,3,6,5]=>[4,2,3,1,7,6,5]=>{{1,4},{2},{3},{5,7},{6}}=>{{1,3},{2},{4,7},{5},{6}}
[4,2,1,7,5,3,6]=>[4,5,2,1,7,6,3]=>{{1,4},{2,5,7},{3},{6}}=>{{1,3,6},{2},{4,7},{5}}
[4,2,1,7,5,6,3]=>[4,2,5,1,7,6,3]=>{{1,4},{2},{3,5,7},{6}}=>{{1,3,5},{2},{4,7},{6}}
[4,2,1,7,6,3,5]=>[2,4,3,1,7,6,5]=>{{1,2,4},{3},{5,7},{6}}=>{{1,3},{2},{4,6,7},{5}}
[4,2,1,7,6,5,3]=>[7,4,2,1,6,5,3]=>{{1,7},{2,4},{3},{5,6}}=>{{1,7},{2,3},{4,6},{5}}
[4,2,3,1,5,6,7]=>[2,4,5,6,3,7,1]=>{{1,2,4,6,7},{3,5}}=>{{1,2,4,6,7},{3,5}}
[4,2,3,1,5,7,6]=>[4,2,3,7,5,6,1]=>{{1,4,7},{2},{3},{5},{6}}=>{{1,4,7},{2},{3},{5},{6}}
[4,2,3,1,6,5,7]=>[2,4,3,6,5,7,1]=>{{1,2,4,6,7},{3},{5}}=>{{1,2,4,6,7},{3},{5}}
[4,2,3,1,6,7,5]=>[4,2,3,6,5,7,1]=>{{1,4,6,7},{2},{3},{5}}=>{{1,2,4,7},{3},{5},{6}}
[4,2,3,1,7,5,6]=>[2,4,3,7,5,6,1]=>{{1,2,4,7},{3},{5},{6}}=>{{1,4,6,7},{2},{3},{5}}
[4,2,3,1,7,6,5]=>[4,2,1,7,3,6,5]=>{{1,4,7},{2},{3},{5},{6}}=>{{1,4,7},{2},{3},{5},{6}}
[4,2,3,5,1,6,7]=>[2,4,5,3,6,7,1]=>{{1,2,4},{3,5,6,7}}=>{{1,2,3,5},{4,6,7}}
[4,2,3,5,1,7,6]=>[4,2,7,3,5,6,1]=>{{1,4},{2},{3,7},{5},{6}}=>{{1,5},{2},{3},{4,7},{6}}
[4,2,3,5,6,1,7]=>[2,4,3,5,6,7,1]=>{{1,2,4,5,6,7},{3}}=>{{1,2,3,4,6,7},{5}}
[4,2,3,5,6,7,1]=>[4,2,3,5,6,7,1]=>{{1,4,5,6,7},{2},{3}}=>{{1,2,3,4,7},{5},{6}}
[4,2,3,5,7,1,6]=>[4,7,2,3,5,6,1]=>{{1,4},{2,7},{3},{5},{6}}=>{{1,6},{2},{3},{4,7},{5}}
[4,2,3,5,7,6,1]=>[4,2,1,3,5,7,6]=>{{1,4},{2},{3},{5},{6,7}}=>{{1,2},{3},{4,7},{5},{6}}
[4,2,3,6,1,5,7]=>[2,4,6,3,5,7,1]=>{{1,2,4},{3,6,7},{5}}=>{{1,2,5},{3},{4,6,7}}
[4,2,3,6,1,7,5]=>[4,2,6,3,5,7,1]=>{{1,4},{2},{3,6,7},{5}}=>{{1,2,5},{3},{4,7},{6}}
[4,2,3,6,5,1,7]=>[2,4,3,1,6,7,5]=>{{1,2,4},{3},{5,6,7}}=>{{1,2,3},{4,6,7},{5}}
[4,2,3,6,5,7,1]=>[4,2,3,1,6,7,5]=>{{1,4},{2},{3},{5,6,7}}=>{{1,2,3},{4,7},{5},{6}}
[4,2,3,6,7,1,5]=>[4,6,2,3,5,7,1]=>{{1,4},{2,6,7},{3},{5}}=>{{1,2,6},{3},{4,7},{5}}
[4,2,3,6,7,5,1]=>[4,2,1,3,6,7,5]=>{{1,4},{2},{3},{5,6,7}}=>{{1,2,3},{4,7},{5},{6}}
[4,2,3,7,1,5,6]=>[2,4,7,3,5,6,1]=>{{1,2,4},{3,7},{5},{6}}=>{{1,5},{2},{3},{4,6,7}}
[4,2,3,7,1,6,5]=>[4,2,7,1,3,6,5]=>{{1,4},{2},{3,7},{5},{6}}=>{{1,5},{2},{3},{4,7},{6}}
[4,2,3,7,5,1,6]=>[2,4,3,1,5,7,6]=>{{1,2,4},{3},{5},{6,7}}=>{{1,2},{3},{4,6,7},{5}}
[4,2,3,7,5,6,1]=>[4,2,3,1,5,7,6]=>{{1,4},{2},{3},{5},{6,7}}=>{{1,2},{3},{4,7},{5},{6}}
[4,2,3,7,6,1,5]=>[4,7,2,1,3,6,5]=>{{1,4},{2,7},{3},{5},{6}}=>{{1,6},{2},{3},{4,7},{5}}
[4,2,3,7,6,5,1]=>[7,4,2,1,3,6,5]=>{{1,7},{2,4},{3},{5},{6}}=>{{1,7},{2},{3},{4,6},{5}}
[4,2,5,1,3,6,7]=>[4,5,6,7,2,3,1]=>{{1,4,7},{2,5},{3,6}}=>{{1,4,7},{2,5},{3,6}}
[4,2,5,1,3,7,6]=>[4,2,5,7,3,6,1]=>{{1,4,7},{2},{3,5},{6}}=>{{1,4,7},{2},{3,5},{6}}
[4,2,5,1,6,3,7]=>[4,5,2,6,3,7,1]=>{{1,4,6,7},{2,5},{3}}=>{{1,2,4,7},{3,6},{5}}
[4,2,5,1,6,7,3]=>[4,2,5,6,3,7,1]=>{{1,4,6,7},{2},{3,5}}=>{{1,2,4,7},{3,5},{6}}
[4,2,5,1,7,3,6]=>[4,5,2,7,3,6,1]=>{{1,4,7},{2,5},{3},{6}}=>{{1,4,7},{2},{3,6},{5}}
[4,2,5,1,7,6,3]=>[4,2,1,7,5,6,3]=>{{1,4,7},{2},{3},{5},{6}}=>{{1,4,7},{2},{3},{5},{6}}
[4,2,5,3,1,6,7]=>[4,5,6,2,1,7,3]=>{{1,4},{2,5},{3,6,7}}=>{{1,2,5},{3,6},{4,7}}
[4,2,5,3,1,7,6]=>[4,2,5,3,1,7,6]=>{{1,4},{2},{3,5},{6,7}}=>{{1,2},{3,5},{4,7},{6}}
[4,2,5,3,6,1,7]=>[4,5,2,6,1,7,3]=>{{1,4,6,7},{2,5},{3}}=>{{1,2,4,7},{3,6},{5}}
[4,2,5,3,6,7,1]=>[4,2,5,6,1,7,3]=>{{1,4,6,7},{2},{3,5}}=>{{1,2,4,7},{3,5},{6}}
[4,2,5,3,7,1,6]=>[4,5,2,3,1,7,6]=>{{1,4},{2,5},{3},{6,7}}=>{{1,2},{3,6},{4,7},{5}}
[4,2,5,3,7,6,1]=>[4,2,1,5,3,7,6]=>{{1,4,5},{2},{3},{6,7}}=>{{1,2},{3,4,7},{5},{6}}
[4,2,5,6,1,3,7]=>[4,5,6,2,3,7,1]=>{{1,4},{2,5},{3,6,7}}=>{{1,2,5},{3,6},{4,7}}
[4,2,5,6,1,7,3]=>[4,2,5,3,6,7,1]=>{{1,4},{2},{3,5,6,7}}=>{{1,2,3,5},{4,7},{6}}
[4,2,5,6,3,1,7]=>[4,5,2,1,6,7,3]=>{{1,4},{2,5,6,7},{3}}=>{{1,2,3,6},{4,7},{5}}
[4,2,5,6,3,7,1]=>[4,2,5,1,6,7,3]=>{{1,4},{2},{3,5,6,7}}=>{{1,2,3,5},{4,7},{6}}
[4,2,5,6,7,1,3]=>[4,5,2,3,6,7,1]=>{{1,4},{2,5,6,7},{3}}=>{{1,2,3,6},{4,7},{5}}
[4,2,5,6,7,3,1]=>[4,2,1,5,6,7,3]=>{{1,4,5,6,7},{2},{3}}=>{{1,2,3,4,7},{5},{6}}
[4,2,5,7,1,3,6]=>[4,5,7,2,3,6,1]=>{{1,4},{2,5},{3,7},{6}}=>{{1,5},{2},{3,6},{4,7}}
[4,2,5,7,1,6,3]=>[4,2,7,1,5,6,3]=>{{1,4},{2},{3,7},{5},{6}}=>{{1,5},{2},{3},{4,7},{6}}
[4,2,5,7,3,1,6]=>[4,5,2,1,3,7,6]=>{{1,4},{2,5},{3},{6,7}}=>{{1,2},{3,6},{4,7},{5}}
[4,2,5,7,3,6,1]=>[4,2,5,1,3,7,6]=>{{1,4},{2},{3,5},{6,7}}=>{{1,2},{3,5},{4,7},{6}}
[4,2,5,7,6,1,3]=>[4,7,2,1,5,6,3]=>{{1,4},{2,7},{3},{5},{6}}=>{{1,6},{2},{3},{4,7},{5}}
[4,2,5,7,6,3,1]=>[7,4,2,1,5,6,3]=>{{1,7},{2,4},{3},{5},{6}}=>{{1,7},{2},{3},{4,6},{5}}
[4,2,6,1,3,5,7]=>[2,4,6,7,3,5,1]=>{{1,2,4,7},{3,6},{5}}=>{{1,4,6,7},{2,5},{3}}
[4,2,6,1,3,7,5]=>[4,2,6,7,3,5,1]=>{{1,4,7},{2},{3,6},{5}}=>{{1,4,7},{2,5},{3},{6}}
[4,2,6,1,5,3,7]=>[4,6,2,7,1,5,3]=>{{1,4,7},{2,6},{3},{5}}=>{{1,4,7},{2,6},{3},{5}}
[4,2,6,1,5,7,3]=>[4,2,6,7,1,5,3]=>{{1,4,7},{2},{3,6},{5}}=>{{1,4,7},{2,5},{3},{6}}
[4,2,6,1,7,3,5]=>[4,6,2,7,3,5,1]=>{{1,4,7},{2,6},{3},{5}}=>{{1,4,7},{2,6},{3},{5}}
[4,2,6,1,7,5,3]=>[4,2,1,6,5,7,3]=>{{1,4,6,7},{2},{3},{5}}=>{{1,2,4,7},{3},{5},{6}}
[4,2,6,3,1,5,7]=>[2,4,6,3,1,7,5]=>{{1,2,4},{3,6,7},{5}}=>{{1,2,5},{3},{4,6,7}}
[4,2,6,3,1,7,5]=>[4,2,6,3,1,7,5]=>{{1,4},{2},{3,6,7},{5}}=>{{1,2,5},{3},{4,7},{6}}
[4,2,6,3,5,1,7]=>[2,4,3,6,1,7,5]=>{{1,2,4,6,7},{3},{5}}=>{{1,2,4,6,7},{3},{5}}
[4,2,6,3,5,7,1]=>[4,2,3,6,1,7,5]=>{{1,4,6,7},{2},{3},{5}}=>{{1,2,4,7},{3},{5},{6}}
[4,2,6,3,7,1,5]=>[4,6,2,3,1,7,5]=>{{1,4},{2,6,7},{3},{5}}=>{{1,2,6},{3},{4,7},{5}}
[4,2,6,3,7,5,1]=>[4,2,1,6,3,7,5]=>{{1,4,6,7},{2},{3},{5}}=>{{1,2,4,7},{3},{5},{6}}
[4,2,6,5,1,3,7]=>[4,6,7,2,1,5,3]=>{{1,4},{2,6},{3,7},{5}}=>{{1,5},{2,6},{3},{4,7}}
[4,2,6,5,1,7,3]=>[4,2,6,5,1,7,3]=>{{1,4,5},{2},{3,6,7}}=>{{1,2,5},{3,4,7},{6}}
[4,2,6,5,3,1,7]=>[4,6,5,2,1,7,3]=>{{1,4},{2,6,7},{3,5}}=>{{1,2,6},{3,5},{4,7}}
[4,2,6,5,3,7,1]=>[6,4,5,2,1,7,3]=>{{1,6,7},{2,4},{3,5}}=>{{1,2,7},{3,5},{4,6}}
[4,2,6,5,7,1,3]=>[4,6,2,5,1,7,3]=>{{1,4,5},{2,6,7},{3}}=>{{1,2,6},{3,4,7},{5}}
[4,2,6,5,7,3,1]=>[6,4,2,5,1,7,3]=>{{1,6,7},{2,4,5},{3}}=>{{1,2,7},{3,4,6},{5}}
[4,2,6,7,1,3,5]=>[4,6,7,2,3,5,1]=>{{1,4},{2,6},{3,7},{5}}=>{{1,5},{2,6},{3},{4,7}}
[4,2,6,7,1,5,3]=>[4,2,6,1,5,7,3]=>{{1,4},{2},{3,6,7},{5}}=>{{1,2,5},{3},{4,7},{6}}
[4,2,6,7,3,1,5]=>[4,6,2,1,3,7,5]=>{{1,4},{2,6,7},{3},{5}}=>{{1,2,6},{3},{4,7},{5}}
[4,2,6,7,3,5,1]=>[4,2,6,1,3,7,5]=>{{1,4},{2},{3,6,7},{5}}=>{{1,2,5},{3},{4,7},{6}}
[4,2,6,7,5,1,3]=>[4,6,2,1,5,7,3]=>{{1,4},{2,6,7},{3},{5}}=>{{1,2,6},{3},{4,7},{5}}
[4,2,6,7,5,3,1]=>[6,4,2,1,5,7,3]=>{{1,6,7},{2,4},{3},{5}}=>{{1,2,7},{3},{4,6},{5}}
[4,2,7,1,3,5,6]=>[2,4,5,7,3,6,1]=>{{1,2,4,7},{3,5},{6}}=>{{1,4,6,7},{2},{3,5}}
[4,2,7,1,3,6,5]=>[4,2,3,7,1,6,5]=>{{1,4,7},{2},{3},{5},{6}}=>{{1,4,7},{2},{3},{5},{6}}
[4,2,7,1,5,3,6]=>[4,5,2,7,1,6,3]=>{{1,4,7},{2,5},{3},{6}}=>{{1,4,7},{2},{3,6},{5}}
[4,2,7,1,5,6,3]=>[4,2,5,7,1,6,3]=>{{1,4,7},{2},{3,5},{6}}=>{{1,4,7},{2},{3,5},{6}}
[4,2,7,1,6,3,5]=>[2,4,3,7,1,6,5]=>{{1,2,4,7},{3},{5},{6}}=>{{1,4,6,7},{2},{3},{5}}
[4,2,7,1,6,5,3]=>[7,4,2,6,1,5,3]=>{{1,7},{2,4,6},{3},{5}}=>{{1,7},{2,4,6},{3},{5}}
[4,2,7,3,1,5,6]=>[2,4,5,3,1,7,6]=>{{1,2,4},{3,5},{6,7}}=>{{1,2},{3,5},{4,6,7}}
[4,2,7,3,1,6,5]=>[4,2,7,3,1,6,5]=>{{1,4},{2},{3,7},{5},{6}}=>{{1,5},{2},{3},{4,7},{6}}
[4,2,7,3,5,1,6]=>[2,4,3,5,1,7,6]=>{{1,2,4,5},{3},{6,7}}=>{{1,2},{3,4,6,7},{5}}
[4,2,7,3,5,6,1]=>[4,2,3,5,1,7,6]=>{{1,4,5},{2},{3},{6,7}}=>{{1,2},{3,4,7},{5},{6}}
[4,2,7,3,6,1,5]=>[4,7,2,3,1,6,5]=>{{1,4},{2,7},{3},{5},{6}}=>{{1,6},{2},{3},{4,7},{5}}
[4,2,7,3,6,5,1]=>[7,4,2,3,1,6,5]=>{{1,7},{2,4},{3},{5},{6}}=>{{1,7},{2},{3},{4,6},{5}}
[4,2,7,5,1,3,6]=>[4,5,7,2,1,6,3]=>{{1,4},{2,5},{3,7},{6}}=>{{1,5},{2},{3,6},{4,7}}
[4,2,7,5,1,6,3]=>[4,2,7,5,1,6,3]=>{{1,4,5},{2},{3,7},{6}}=>{{1,5},{2},{3,4,7},{6}}
[4,2,7,5,3,1,6]=>[4,7,5,2,1,6,3]=>{{1,4},{2,7},{3,5},{6}}=>{{1,6},{2},{3,5},{4,7}}
[4,2,7,5,3,6,1]=>[7,4,5,2,1,6,3]=>{{1,7},{2,4},{3,5},{6}}=>{{1,7},{2},{3,5},{4,6}}
[4,2,7,5,6,1,3]=>[4,7,2,5,1,6,3]=>{{1,4,5},{2,7},{3},{6}}=>{{1,6},{2},{3,4,7},{5}}
[4,2,7,5,6,3,1]=>[7,4,2,5,1,6,3]=>{{1,7},{2,4,5},{3},{6}}=>{{1,7},{2},{3,4,6},{5}}
[4,2,7,6,1,3,5]=>[2,4,7,3,1,6,5]=>{{1,2,4},{3,7},{5},{6}}=>{{1,5},{2},{3},{4,6,7}}
[4,2,7,6,1,5,3]=>[7,4,6,2,1,5,3]=>{{1,7},{2,4},{3,6},{5}}=>{{1,7},{2,5},{3},{4,6}}
[4,2,7,6,3,1,5]=>[2,7,4,3,1,6,5]=>{{1,2,7},{3,4},{5},{6}}=>{{1,6,7},{2},{3},{4,5}}
[4,2,7,6,3,5,1]=>[7,2,4,3,1,6,5]=>{{1,7},{2},{3,4},{5},{6}}=>{{1,7},{2},{3},{4,5},{6}}
[4,2,7,6,5,1,3]=>[4,7,6,2,1,5,3]=>{{1,4},{2,7},{3,6},{5}}=>{{1,6},{2,5},{3},{4,7}}
[4,2,7,6,5,3,1]=>[7,6,4,2,1,5,3]=>{{1,7},{2,6},{3,4},{5}}=>{{1,7},{2,6},{3},{4,5}}
[4,3,1,2,5,6,7]=>[1,4,5,6,7,3,2]=>{{1},{2,4,6},{3,5,7}}=>{{1,3,5},{2,4,6},{7}}
[4,3,1,2,5,7,6]=>[4,1,3,5,7,6,2]=>{{1,4,5,7},{2},{3},{6}}=>{{1,3,4,7},{2},{5},{6}}
[4,3,1,2,6,5,7]=>[1,4,3,6,7,5,2]=>{{1},{2,4,6},{3},{5,7}}=>{{1,3},{2,4,6},{5},{7}}
[4,3,1,2,6,7,5]=>[4,1,3,6,7,5,2]=>{{1,4,6},{2},{3},{5,7}}=>{{1,3},{2,4,7},{5},{6}}
[4,3,1,2,7,5,6]=>[1,4,3,5,7,6,2]=>{{1},{2,4,5,7},{3},{6}}=>{{1,3,4,6},{2},{5},{7}}
[4,3,1,2,7,6,5]=>[4,3,1,2,7,6,5]=>{{1,4},{2,3},{5,7},{6}}=>{{1,3},{2},{4,7},{5,6}}
[4,3,1,5,2,6,7]=>[4,5,6,1,7,3,2]=>{{1,4},{2,5,7},{3,6}}=>{{1,3,6},{2,5},{4,7}}
[4,3,1,5,2,7,6]=>[4,1,5,3,7,6,2]=>{{1,4},{2},{3,5,7},{6}}=>{{1,3,5},{2},{4,7},{6}}
[4,3,1,5,6,2,7]=>[4,5,1,6,7,3,2]=>{{1,4,6},{2,5,7},{3}}=>{{1,3,6},{2,4,7},{5}}
[4,3,1,5,6,7,2]=>[4,1,5,6,7,3,2]=>{{1,4,6},{2},{3,5,7}}=>{{1,3,5},{2,4,7},{6}}
[4,3,1,5,7,2,6]=>[4,5,1,3,7,6,2]=>{{1,4},{2,5,7},{3},{6}}=>{{1,3,6},{2},{4,7},{5}}
[4,3,1,5,7,6,2]=>[4,3,1,5,7,6,2]=>{{1,4,5,7},{2,3},{6}}=>{{1,3,4,7},{2},{5,6}}
[4,3,1,6,2,5,7]=>[1,4,6,3,7,5,2]=>{{1},{2,4},{3,6},{5,7}}=>{{1,3},{2,5},{4,6},{7}}
[4,3,1,6,2,7,5]=>[4,1,6,3,7,5,2]=>{{1,4},{2},{3,6},{5,7}}=>{{1,3},{2,5},{4,7},{6}}
[4,3,1,6,5,2,7]=>[4,6,3,1,7,5,2]=>{{1,4},{2,6},{3},{5,7}}=>{{1,3},{2,6},{4,7},{5}}
[4,3,1,6,5,7,2]=>[4,3,6,1,7,5,2]=>{{1,4},{2,3,6},{5,7}}=>{{1,3},{2,5,6},{4,7}}
[4,3,1,6,7,2,5]=>[4,6,1,3,7,5,2]=>{{1,4},{2,6},{3},{5,7}}=>{{1,3},{2,6},{4,7},{5}}
[4,3,1,6,7,5,2]=>[4,3,1,6,7,5,2]=>{{1,4,6},{2,3},{5,7}}=>{{1,3},{2,4,7},{5,6}}
[4,3,1,7,2,5,6]=>[1,4,5,3,7,6,2]=>{{1},{2,4},{3,5,7},{6}}=>{{1,3,5},{2},{4,6},{7}}
[4,3,1,7,2,6,5]=>[4,1,3,2,7,6,5]=>{{1,4},{2},{3},{5,7},{6}}=>{{1,3},{2},{4,7},{5},{6}}
[4,3,1,7,5,2,6]=>[4,5,3,1,7,6,2]=>{{1,4},{2,5,7},{3},{6}}=>{{1,3,6},{2},{4,7},{5}}
[4,3,1,7,5,6,2]=>[4,3,5,1,7,6,2]=>{{1,4},{2,3,5,7},{6}}=>{{1,3,5,6},{2},{4,7}}
[4,3,1,7,6,2,5]=>[1,4,3,2,7,6,5]=>{{1},{2,4},{3},{5,7},{6}}=>{{1,3},{2},{4,6},{5},{7}}
[4,3,1,7,6,5,2]=>[7,4,3,1,6,5,2]=>{{1,7},{2,4},{3},{5,6}}=>{{1,7},{2,3},{4,6},{5}}
[4,3,2,1,5,6,7]=>[4,5,6,7,3,2,1]=>{{1,4,7},{2,5},{3,6}}=>{{1,4,7},{2,5},{3,6}}
[4,3,2,1,5,7,6]=>[4,3,5,7,6,2,1]=>{{1,4,7},{2,3,5,6}}=>{{1,4,7},{2,3,5,6}}
[4,3,2,1,6,5,7]=>[4,6,3,7,5,2,1]=>{{1,4,7},{2,6},{3},{5}}=>{{1,4,7},{2,6},{3},{5}}
[4,3,2,1,6,7,5]=>[4,3,6,7,5,2,1]=>{{1,4,7},{2,3,6},{5}}=>{{1,4,7},{2,5,6},{3}}
[4,3,2,1,7,5,6]=>[4,5,3,7,6,2,1]=>{{1,4,7},{2,5,6},{3}}=>{{1,4,7},{2,3,6},{5}}
[4,3,2,1,7,6,5]=>[4,3,2,7,6,5,1]=>{{1,4,7},{2,3},{5,6}}=>{{1,4,7},{2,3},{5,6}}
[4,3,2,5,1,6,7]=>[4,5,6,3,7,2,1]=>{{1,4},{2,5,7},{3,6}}=>{{1,3,6},{2,5},{4,7}}
[4,3,2,5,1,7,6]=>[4,3,7,5,6,2,1]=>{{1,4,5,6},{2,3,7}}=>{{1,5,6},{2,3,4,7}}
[4,3,2,5,6,1,7]=>[4,5,3,6,7,2,1]=>{{1,4,6},{2,5,7},{3}}=>{{1,3,6},{2,4,7},{5}}
[4,3,2,5,6,7,1]=>[4,3,5,6,7,2,1]=>{{1,4,6},{2,3,5,7}}=>{{1,3,5,6},{2,4,7}}
[4,3,2,5,7,1,6]=>[4,7,3,5,6,2,1]=>{{1,4,5,6},{2,7},{3}}=>{{1,6},{2,3,4,7},{5}}
[4,3,2,5,7,6,1]=>[4,3,2,5,7,6,1]=>{{1,4,5,7},{2,3},{6}}=>{{1,3,4,7},{2},{5,6}}
[4,3,2,6,1,5,7]=>[4,6,7,3,5,2,1]=>{{1,4},{2,6},{3,7},{5}}=>{{1,5},{2,6},{3},{4,7}}
[4,3,2,6,1,7,5]=>[4,3,6,5,7,2,1]=>{{1,4,5,7},{2,3,6}}=>{{1,3,4,7},{2,5,6}}
[4,3,2,6,5,1,7]=>[4,6,3,2,7,5,1]=>{{1,4},{2,6},{3},{5,7}}=>{{1,3},{2,6},{4,7},{5}}
[4,3,2,6,5,7,1]=>[4,3,6,2,7,5,1]=>{{1,4},{2,3,6},{5,7}}=>{{1,3},{2,5,6},{4,7}}
[4,3,2,6,7,1,5]=>[4,6,3,5,7,2,1]=>{{1,4,5,7},{2,6},{3}}=>{{1,3,4,7},{2,6},{5}}
[4,3,2,6,7,5,1]=>[4,3,2,6,7,5,1]=>{{1,4,6},{2,3},{5,7}}=>{{1,3},{2,4,7},{5,6}}
[4,3,2,7,1,5,6]=>[4,5,7,3,6,2,1]=>{{1,4},{2,5,6},{3,7}}=>{{1,5},{2,3,6},{4,7}}
[4,3,2,7,1,6,5]=>[4,3,7,2,6,5,1]=>{{1,4},{2,3,7},{5,6}}=>{{1,5,6},{2,3},{4,7}}
[4,3,2,7,5,1,6]=>[4,5,3,2,7,6,1]=>{{1,4},{2,5,7},{3},{6}}=>{{1,3,6},{2},{4,7},{5}}
[4,3,2,7,5,6,1]=>[4,3,5,2,7,6,1]=>{{1,4},{2,3,5,7},{6}}=>{{1,3,5,6},{2},{4,7}}
[4,3,2,7,6,1,5]=>[4,7,3,2,6,5,1]=>{{1,4},{2,7},{3},{5,6}}=>{{1,6},{2,3},{4,7},{5}}
[4,3,2,7,6,5,1]=>[4,3,2,1,7,6,5]=>{{1,4},{2,3},{5,7},{6}}=>{{1,3},{2},{4,7},{5,6}}
[4,3,5,1,2,6,7]=>[4,5,6,7,1,3,2]=>{{1,4,7},{2,5},{3,6}}=>{{1,4,7},{2,5},{3,6}}
[4,3,5,1,2,7,6]=>[4,1,5,7,3,6,2]=>{{1,4,7},{2},{3,5},{6}}=>{{1,4,7},{2},{3,5},{6}}
[4,3,5,1,6,2,7]=>[4,5,1,6,3,7,2]=>{{1,4,6,7},{2,5},{3}}=>{{1,2,4,7},{3,6},{5}}
[4,3,5,1,6,7,2]=>[4,1,5,6,3,7,2]=>{{1,4,6,7},{2},{3,5}}=>{{1,2,4,7},{3,5},{6}}
[4,3,5,1,7,2,6]=>[4,5,1,7,3,6,2]=>{{1,4,7},{2,5},{3},{6}}=>{{1,4,7},{2},{3,6},{5}}
[4,3,5,1,7,6,2]=>[4,3,1,7,5,6,2]=>{{1,4,7},{2,3},{5},{6}}=>{{1,4,7},{2},{3},{5,6}}
[4,3,5,2,1,6,7]=>[4,5,6,3,2,7,1]=>{{1,4},{2,5},{3,6,7}}=>{{1,2,5},{3,6},{4,7}}
[4,3,5,2,1,7,6]=>[4,3,7,5,2,6,1]=>{{1,4,5},{2,3,7},{6}}=>{{1,5,6},{2},{3,4,7}}
[4,3,5,2,6,1,7]=>[4,5,3,6,2,7,1]=>{{1,4,6,7},{2,5},{3}}=>{{1,2,4,7},{3,6},{5}}
[4,3,5,2,6,7,1]=>[4,3,5,6,2,7,1]=>{{1,4,6,7},{2,3,5}}=>{{1,2,4,7},{3,5,6}}
[4,3,5,2,7,1,6]=>[4,7,3,5,2,6,1]=>{{1,4,5},{2,7},{3},{6}}=>{{1,6},{2},{3,4,7},{5}}
[4,3,5,2,7,6,1]=>[4,3,2,7,5,6,1]=>{{1,4,7},{2,3},{5},{6}}=>{{1,4,7},{2},{3},{5,6}}
[4,3,5,6,1,2,7]=>[4,5,6,1,3,7,2]=>{{1,4},{2,5},{3,6,7}}=>{{1,2,5},{3,6},{4,7}}
[4,3,5,6,1,7,2]=>[4,1,5,3,6,7,2]=>{{1,4},{2},{3,5,6,7}}=>{{1,2,3,5},{4,7},{6}}
[4,3,5,6,2,1,7]=>[4,5,3,2,6,7,1]=>{{1,4},{2,5,6,7},{3}}=>{{1,2,3,6},{4,7},{5}}
[4,3,5,6,2,7,1]=>[4,3,5,2,6,7,1]=>{{1,4},{2,3,5,6,7}}=>{{1,2,3,5,6},{4,7}}
[4,3,5,6,7,1,2]=>[4,5,1,3,6,7,2]=>{{1,4},{2,5,6,7},{3}}=>{{1,2,3,6},{4,7},{5}}
[4,3,5,6,7,2,1]=>[4,3,2,5,6,7,1]=>{{1,4,5,6,7},{2,3}}=>{{1,2,3,4,7},{5,6}}
[4,3,5,7,1,2,6]=>[4,5,7,1,3,6,2]=>{{1,4},{2,5},{3,7},{6}}=>{{1,5},{2},{3,6},{4,7}}
[4,3,5,7,1,6,2]=>[4,3,7,1,5,6,2]=>{{1,4},{2,3,7},{5},{6}}=>{{1,5,6},{2},{3},{4,7}}
[4,3,5,7,2,1,6]=>[4,7,3,2,5,6,1]=>{{1,4},{2,7},{3},{5},{6}}=>{{1,6},{2},{3},{4,7},{5}}
[4,3,5,7,2,6,1]=>[4,3,7,2,5,6,1]=>{{1,4},{2,3,7},{5},{6}}=>{{1,5,6},{2},{3},{4,7}}
[4,3,5,7,6,1,2]=>[4,7,3,1,5,6,2]=>{{1,4},{2,7},{3},{5},{6}}=>{{1,6},{2},{3},{4,7},{5}}
[4,3,5,7,6,2,1]=>[4,3,2,1,5,7,6]=>{{1,4},{2,3},{5},{6,7}}=>{{1,2},{3},{4,7},{5,6}}
[4,3,6,1,2,5,7]=>[1,4,6,7,3,5,2]=>{{1},{2,4,7},{3,6},{5}}=>{{1,4,6},{2,5},{3},{7}}
[4,3,6,1,2,7,5]=>[4,1,6,7,3,5,2]=>{{1,4,7},{2},{3,6},{5}}=>{{1,4,7},{2,5},{3},{6}}
[4,3,6,1,5,2,7]=>[4,6,3,7,1,5,2]=>{{1,4,7},{2,6},{3},{5}}=>{{1,4,7},{2,6},{3},{5}}
[4,3,6,1,5,7,2]=>[4,3,6,7,1,5,2]=>{{1,4,7},{2,3,6},{5}}=>{{1,4,7},{2,5,6},{3}}
[4,3,6,1,7,2,5]=>[4,6,1,7,3,5,2]=>{{1,4,7},{2,6},{3},{5}}=>{{1,4,7},{2,6},{3},{5}}
[4,3,6,1,7,5,2]=>[4,3,1,6,5,7,2]=>{{1,4,6,7},{2,3},{5}}=>{{1,2,4,7},{3},{5,6}}
[4,3,6,2,1,5,7]=>[4,6,7,3,2,5,1]=>{{1,4},{2,6},{3,7},{5}}=>{{1,5},{2,6},{3},{4,7}}
[4,3,6,2,1,7,5]=>[4,3,6,5,2,7,1]=>{{1,4,5},{2,3,6,7}}=>{{1,2,5,6},{3,4,7}}
[4,3,6,2,5,1,7]=>[4,6,3,7,2,5,1]=>{{1,4,7},{2,6},{3},{5}}=>{{1,4,7},{2,6},{3},{5}}
[4,3,6,2,5,7,1]=>[4,3,6,7,2,5,1]=>{{1,4,7},{2,3,6},{5}}=>{{1,4,7},{2,5,6},{3}}
[4,3,6,2,7,1,5]=>[4,6,3,5,2,7,1]=>{{1,4,5},{2,6,7},{3}}=>{{1,2,6},{3,4,7},{5}}
[4,3,6,2,7,5,1]=>[4,3,2,6,5,7,1]=>{{1,4,6,7},{2,3},{5}}=>{{1,2,4,7},{3},{5,6}}
[4,3,6,5,1,2,7]=>[4,6,7,3,1,5,2]=>{{1,4},{2,6},{3,7},{5}}=>{{1,5},{2,6},{3},{4,7}}
[4,3,6,5,1,7,2]=>[4,3,6,5,1,7,2]=>{{1,4,5},{2,3,6,7}}=>{{1,2,5,6},{3,4,7}}
[4,3,6,5,2,1,7]=>[4,6,3,2,1,7,5]=>{{1,4},{2,6,7},{3},{5}}=>{{1,2,6},{3},{4,7},{5}}
[4,3,6,5,2,7,1]=>[4,3,6,2,1,7,5]=>{{1,4},{2,3,6,7},{5}}=>{{1,2,5,6},{3},{4,7}}
[4,3,6,5,7,1,2]=>[4,6,3,5,1,7,2]=>{{1,4,5},{2,6,7},{3}}=>{{1,2,6},{3,4,7},{5}}
[4,3,6,5,7,2,1]=>[4,3,2,6,1,7,5]=>{{1,4,6,7},{2,3},{5}}=>{{1,2,4,7},{3},{5,6}}
[4,3,6,7,1,2,5]=>[4,6,7,1,3,5,2]=>{{1,4},{2,6},{3,7},{5}}=>{{1,5},{2,6},{3},{4,7}}
[4,3,6,7,1,5,2]=>[4,3,6,1,5,7,2]=>{{1,4},{2,3,6,7},{5}}=>{{1,2,5,6},{3},{4,7}}
[4,3,6,7,2,1,5]=>[4,6,3,2,5,7,1]=>{{1,4},{2,6,7},{3},{5}}=>{{1,2,6},{3},{4,7},{5}}
[4,3,6,7,2,5,1]=>[4,3,6,2,5,7,1]=>{{1,4},{2,3,6,7},{5}}=>{{1,2,5,6},{3},{4,7}}
[4,3,6,7,5,1,2]=>[4,6,3,1,5,7,2]=>{{1,4},{2,6,7},{3},{5}}=>{{1,2,6},{3},{4,7},{5}}
[4,3,6,7,5,2,1]=>[4,3,2,1,6,7,5]=>{{1,4},{2,3},{5,6,7}}=>{{1,2,3},{4,7},{5,6}}
[4,3,7,1,2,5,6]=>[1,4,5,7,3,6,2]=>{{1},{2,4,7},{3,5},{6}}=>{{1,4,6},{2},{3,5},{7}}
[4,3,7,1,2,6,5]=>[4,1,3,7,2,6,5]=>{{1,4,7},{2},{3},{5},{6}}=>{{1,4,7},{2},{3},{5},{6}}
[4,3,7,1,5,2,6]=>[4,5,3,7,1,6,2]=>{{1,4,7},{2,5},{3},{6}}=>{{1,4,7},{2},{3,6},{5}}
[4,3,7,1,5,6,2]=>[4,3,5,7,1,6,2]=>{{1,4,7},{2,3,5},{6}}=>{{1,4,7},{2},{3,5,6}}
[4,3,7,1,6,2,5]=>[1,4,3,7,2,6,5]=>{{1},{2,4,7},{3},{5},{6}}=>{{1,4,6},{2},{3},{5},{7}}
[4,3,7,1,6,5,2]=>[7,4,3,6,1,5,2]=>{{1,7},{2,4,6},{3},{5}}=>{{1,7},{2,4,6},{3},{5}}
[4,3,7,2,1,5,6]=>[4,5,7,3,2,6,1]=>{{1,4},{2,5},{3,7},{6}}=>{{1,5},{2},{3,6},{4,7}}
[4,3,7,2,1,6,5]=>[4,3,7,6,2,5,1]=>{{1,4,6},{2,3,7},{5}}=>{{1,5,6},{2,4,7},{3}}
[4,3,7,2,5,1,6]=>[4,5,3,7,2,6,1]=>{{1,4,7},{2,5},{3},{6}}=>{{1,4,7},{2},{3,6},{5}}
[4,3,7,2,5,6,1]=>[4,3,5,7,2,6,1]=>{{1,4,7},{2,3,5},{6}}=>{{1,4,7},{2},{3,5,6}}
[4,3,7,2,6,1,5]=>[4,7,3,6,2,5,1]=>{{1,4,6},{2,7},{3},{5}}=>{{1,6},{2,4,7},{3},{5}}
[4,3,7,2,6,5,1]=>[4,3,2,7,1,6,5]=>{{1,4,7},{2,3},{5},{6}}=>{{1,4,7},{2},{3},{5,6}}
[4,3,7,5,1,2,6]=>[4,5,7,3,1,6,2]=>{{1,4},{2,5},{3,7},{6}}=>{{1,5},{2},{3,6},{4,7}}
[4,3,7,5,1,6,2]=>[4,3,7,5,1,6,2]=>{{1,4,5},{2,3,7},{6}}=>{{1,5,6},{2},{3,4,7}}
[4,3,7,5,2,1,6]=>[4,5,3,2,1,7,6]=>{{1,4},{2,5},{3},{6,7}}=>{{1,2},{3,6},{4,7},{5}}
[4,3,7,5,2,6,1]=>[4,3,5,2,1,7,6]=>{{1,4},{2,3,5},{6,7}}=>{{1,2},{3,5,6},{4,7}}
[4,3,7,5,6,1,2]=>[4,7,3,5,1,6,2]=>{{1,4,5},{2,7},{3},{6}}=>{{1,6},{2},{3,4,7},{5}}
[4,3,7,5,6,2,1]=>[4,3,2,5,1,7,6]=>{{1,4,5},{2,3},{6,7}}=>{{1,2},{3,4,7},{5,6}}
[4,3,7,6,1,2,5]=>[1,4,7,3,2,6,5]=>{{1},{2,4},{3,7},{5},{6}}=>{{1,5},{2},{3},{4,6},{7}}
[4,3,7,6,1,5,2]=>[7,4,6,3,1,5,2]=>{{1,7},{2,4},{3,6},{5}}=>{{1,7},{2,5},{3},{4,6}}
[4,3,7,6,2,1,5]=>[4,7,3,2,1,6,5]=>{{1,4},{2,7},{3},{5},{6}}=>{{1,6},{2},{3},{4,7},{5}}
[4,3,7,6,2,5,1]=>[4,3,7,2,1,6,5]=>{{1,4},{2,3,7},{5},{6}}=>{{1,5,6},{2},{3},{4,7}}
[4,3,7,6,5,1,2]=>[4,7,6,3,1,5,2]=>{{1,4},{2,7},{3,6},{5}}=>{{1,6},{2,5},{3},{4,7}}
[4,3,7,6,5,2,1]=>[7,4,3,2,1,6,5]=>{{1,7},{2,4},{3},{5},{6}}=>{{1,7},{2},{3},{4,6},{5}}
[4,5,1,2,3,6,7]=>[1,4,5,6,7,2,3]=>{{1},{2,4,6},{3,5,7}}=>{{1,3,5},{2,4,6},{7}}
[4,5,1,2,3,7,6]=>[4,1,2,5,7,3,6]=>{{1,4,5,7},{2},{3},{6}}=>{{1,3,4,7},{2},{5},{6}}
[4,5,1,2,6,3,7]=>[4,5,1,6,7,2,3]=>{{1,4,6},{2,5,7},{3}}=>{{1,3,6},{2,4,7},{5}}
[4,5,1,2,6,7,3]=>[4,1,5,6,7,2,3]=>{{1,4,6},{2},{3,5,7}}=>{{1,3,5},{2,4,7},{6}}
[4,5,1,2,7,3,6]=>[1,4,2,5,7,3,6]=>{{1},{2,4,5,7},{3},{6}}=>{{1,3,4,6},{2},{5},{7}}
[4,5,1,2,7,6,3]=>[7,4,1,5,6,2,3]=>{{1,7},{2,4,5,6},{3}}=>{{1,7},{2,3,4,6},{5}}
[4,5,1,3,2,6,7]=>[4,5,6,3,7,1,2]=>{{1,4},{2,5,7},{3,6}}=>{{1,3,6},{2,5},{4,7}}
[4,5,1,3,2,7,6]=>[4,1,5,3,7,2,6]=>{{1,4},{2},{3,5,7},{6}}=>{{1,3,5},{2},{4,7},{6}}
[4,5,1,3,6,2,7]=>[4,5,3,6,7,1,2]=>{{1,4,6},{2,5,7},{3}}=>{{1,3,6},{2,4,7},{5}}
[4,5,1,3,6,7,2]=>[4,3,5,6,7,1,2]=>{{1,4,6},{2,3,5,7}}=>{{1,3,5,6},{2,4,7}}
[4,5,1,3,7,2,6]=>[4,5,1,3,7,2,6]=>{{1,4},{2,5,7},{3},{6}}=>{{1,3,6},{2},{4,7},{5}}
[4,5,1,3,7,6,2]=>[4,3,1,5,7,2,6]=>{{1,4,5,7},{2,3},{6}}=>{{1,3,4,7},{2},{5,6}}
[4,5,1,6,2,3,7]=>[4,5,6,1,7,2,3]=>{{1,4},{2,5,7},{3,6}}=>{{1,3,6},{2,5},{4,7}}
[4,5,1,6,2,7,3]=>[4,1,5,2,6,3,7]=>{{1,4},{2},{3,5,6},{7}}=>{{1},{2,3,5},{4,7},{6}}
[4,5,1,6,3,2,7]=>[4,5,3,1,6,2,7]=>{{1,4},{2,5,6},{3},{7}}=>{{1},{2,3,6},{4,7},{5}}
[4,5,1,6,3,7,2]=>[4,3,5,1,6,2,7]=>{{1,4},{2,3,5,6},{7}}=>{{1},{2,3,5,6},{4,7}}
[4,5,1,6,7,2,3]=>[4,5,1,2,6,3,7]=>{{1,4},{2,5,6},{3},{7}}=>{{1},{2,3,6},{4,7},{5}}
[4,5,1,6,7,3,2]=>[4,3,1,5,6,2,7]=>{{1,4,5,6},{2,3},{7}}=>{{1},{2,3,4,7},{5,6}}
[4,5,1,7,2,3,6]=>[1,4,5,2,7,3,6]=>{{1},{2,4},{3,5,7},{6}}=>{{1,3,5},{2},{4,6},{7}}
[4,5,1,7,2,6,3]=>[7,4,5,1,6,2,3]=>{{1,7},{2,4},{3,5,6}}=>{{1,7},{2,3,5},{4,6}}
[4,5,1,7,3,2,6]=>[4,5,3,1,7,2,6]=>{{1,4},{2,5,7},{3},{6}}=>{{1,3,6},{2},{4,7},{5}}
[4,5,1,7,3,6,2]=>[4,3,5,1,7,2,6]=>{{1,4},{2,3,5,7},{6}}=>{{1,3,5,6},{2},{4,7}}
[4,5,1,7,6,2,3]=>[4,7,5,1,6,2,3]=>{{1,4},{2,7},{3,5,6}}=>{{1,6},{2,3,5},{4,7}}
[4,5,1,7,6,3,2]=>[7,4,3,1,5,2,6]=>{{1,7},{2,4},{3},{5},{6}}=>{{1,7},{2},{3},{4,6},{5}}
[4,5,2,1,3,6,7]=>[4,5,6,7,2,1,3]=>{{1,4,7},{2,5},{3,6}}=>{{1,4,7},{2,5},{3,6}}
[4,5,2,1,3,7,6]=>[4,2,5,7,3,1,6]=>{{1,4,7},{2},{3,5},{6}}=>{{1,4,7},{2},{3,5},{6}}
[4,5,2,1,6,3,7]=>[4,5,2,6,3,1,7]=>{{1,4,6},{2,5},{3},{7}}=>{{1},{2,4,7},{3,6},{5}}
[4,5,2,1,6,7,3]=>[4,2,5,6,3,1,7]=>{{1,4,6},{2},{3,5},{7}}=>{{1},{2,4,7},{3,5},{6}}
[4,5,2,1,7,3,6]=>[4,5,2,7,3,1,6]=>{{1,4,7},{2,5},{3},{6}}=>{{1,4,7},{2},{3,6},{5}}
[4,5,2,1,7,6,3]=>[4,2,1,7,5,3,6]=>{{1,4,7},{2},{3},{5},{6}}=>{{1,4,7},{2},{3},{5},{6}}
[4,5,2,3,1,6,7]=>[4,5,6,2,7,1,3]=>{{1,4},{2,5,7},{3,6}}=>{{1,3,6},{2,5},{4,7}}
[4,5,2,3,1,7,6]=>[4,2,5,3,7,1,6]=>{{1,4},{2},{3,5,7},{6}}=>{{1,3,5},{2},{4,7},{6}}
[4,5,2,3,6,1,7]=>[4,5,2,6,7,1,3]=>{{1,4,6},{2,5,7},{3}}=>{{1,3,6},{2,4,7},{5}}
[4,5,2,3,6,7,1]=>[4,2,5,6,7,1,3]=>{{1,4,6},{2},{3,5,7}}=>{{1,3,5},{2,4,7},{6}}
[4,5,2,3,7,1,6]=>[4,5,2,3,7,1,6]=>{{1,4},{2,5,7},{3},{6}}=>{{1,3,6},{2},{4,7},{5}}
[4,5,2,3,7,6,1]=>[4,2,1,5,7,3,6]=>{{1,4,5,7},{2},{3},{6}}=>{{1,3,4,7},{2},{5},{6}}
[4,5,2,6,1,3,7]=>[4,5,6,2,3,1,7]=>{{1,4},{2,5},{3,6},{7}}=>{{1},{2,5},{3,6},{4,7}}
[4,5,2,6,1,7,3]=>[4,2,5,3,6,1,7]=>{{1,4},{2},{3,5,6},{7}}=>{{1},{2,3,5},{4,7},{6}}
[4,5,2,6,3,1,7]=>[4,5,2,1,6,3,7]=>{{1,4},{2,5,6},{3},{7}}=>{{1},{2,3,6},{4,7},{5}}
[4,5,2,6,3,7,1]=>[4,2,5,1,6,3,7]=>{{1,4},{2},{3,5,6},{7}}=>{{1},{2,3,5},{4,7},{6}}
[4,5,2,6,7,1,3]=>[4,5,2,3,6,1,7]=>{{1,4},{2,5,6},{3},{7}}=>{{1},{2,3,6},{4,7},{5}}
[4,5,2,6,7,3,1]=>[4,2,1,5,6,3,7]=>{{1,4,5,6},{2},{3},{7}}=>{{1},{2,3,4,7},{5},{6}}
[4,5,2,7,1,3,6]=>[4,5,7,2,3,1,6]=>{{1,4},{2,5},{3,7},{6}}=>{{1,5},{2},{3,6},{4,7}}
[4,5,2,7,1,6,3]=>[4,2,7,1,5,3,6]=>{{1,4},{2},{3,7},{5},{6}}=>{{1,5},{2},{3},{4,7},{6}}
[4,5,2,7,3,1,6]=>[4,5,2,1,7,3,6]=>{{1,4},{2,5,7},{3},{6}}=>{{1,3,6},{2},{4,7},{5}}
[4,5,2,7,3,6,1]=>[4,2,5,1,7,3,6]=>{{1,4},{2},{3,5,7},{6}}=>{{1,3,5},{2},{4,7},{6}}
[4,5,2,7,6,1,3]=>[4,7,2,1,5,3,6]=>{{1,4},{2,7},{3},{5},{6}}=>{{1,6},{2},{3},{4,7},{5}}
[4,5,2,7,6,3,1]=>[7,4,2,1,5,3,6]=>{{1,7},{2,4},{3},{5},{6}}=>{{1,7},{2},{3},{4,6},{5}}
[4,5,3,1,2,6,7]=>[4,5,6,7,3,1,2]=>{{1,4,7},{2,5},{3,6}}=>{{1,4,7},{2,5},{3,6}}
[4,5,3,1,2,7,6]=>[4,1,5,7,3,2,6]=>{{1,4,7},{2},{3,5},{6}}=>{{1,4,7},{2},{3,5},{6}}
[4,5,3,1,6,2,7]=>[4,5,1,6,3,2,7]=>{{1,4,6},{2,5},{3},{7}}=>{{1},{2,4,7},{3,6},{5}}
[4,5,3,1,6,7,2]=>[4,1,5,6,3,2,7]=>{{1,4,6},{2},{3,5},{7}}=>{{1},{2,4,7},{3,5},{6}}
[4,5,3,1,7,2,6]=>[4,5,1,7,3,2,6]=>{{1,4,7},{2,5},{3},{6}}=>{{1,4,7},{2},{3,6},{5}}
[4,5,3,1,7,6,2]=>[4,3,1,7,5,2,6]=>{{1,4,7},{2,3},{5},{6}}=>{{1,4,7},{2},{3},{5,6}}
[4,5,3,2,1,6,7]=>[4,5,6,3,2,1,7]=>{{1,4},{2,5},{3,6},{7}}=>{{1},{2,5},{3,6},{4,7}}
[4,5,3,2,1,7,6]=>[4,3,7,5,2,1,6]=>{{1,4,5},{2,3,7},{6}}=>{{1,5,6},{2},{3,4,7}}
[4,5,3,2,6,1,7]=>[4,5,3,6,2,1,7]=>{{1,4,6},{2,5},{3},{7}}=>{{1},{2,4,7},{3,6},{5}}
[4,5,3,2,6,7,1]=>[4,3,5,6,2,1,7]=>{{1,4,6},{2,3,5},{7}}=>{{1},{2,4,7},{3,5,6}}
[4,5,3,2,7,1,6]=>[4,7,3,5,2,1,6]=>{{1,4,5},{2,7},{3},{6}}=>{{1,6},{2},{3,4,7},{5}}
[4,5,3,2,7,6,1]=>[4,3,2,7,5,1,6]=>{{1,4,7},{2,3},{5},{6}}=>{{1,4,7},{2},{3},{5,6}}
[4,5,3,6,1,2,7]=>[4,5,6,1,3,2,7]=>{{1,4},{2,5},{3,6},{7}}=>{{1},{2,5},{3,6},{4,7}}
[4,5,3,6,1,7,2]=>[4,1,5,3,6,2,7]=>{{1,4},{2},{3,5,6},{7}}=>{{1},{2,3,5},{4,7},{6}}
[4,5,3,6,2,1,7]=>[4,5,3,2,6,1,7]=>{{1,4},{2,5,6},{3},{7}}=>{{1},{2,3,6},{4,7},{5}}
[4,5,3,6,2,7,1]=>[4,3,5,2,6,1,7]=>{{1,4},{2,3,5,6},{7}}=>{{1},{2,3,5,6},{4,7}}
[4,5,3,6,7,1,2]=>[4,5,1,3,6,2,7]=>{{1,4},{2,5,6},{3},{7}}=>{{1},{2,3,6},{4,7},{5}}
[4,5,3,6,7,2,1]=>[4,3,2,5,6,1,7]=>{{1,4,5,6},{2,3},{7}}=>{{1},{2,3,4,7},{5,6}}
[4,5,3,7,1,2,6]=>[4,5,7,1,3,2,6]=>{{1,4},{2,5},{3,7},{6}}=>{{1,5},{2},{3,6},{4,7}}
[4,5,3,7,1,6,2]=>[4,3,7,1,5,2,6]=>{{1,4},{2,3,7},{5},{6}}=>{{1,5,6},{2},{3},{4,7}}
[4,5,3,7,2,1,6]=>[4,7,3,2,5,1,6]=>{{1,4},{2,7},{3},{5},{6}}=>{{1,6},{2},{3},{4,7},{5}}
[4,5,3,7,2,6,1]=>[4,3,7,2,5,1,6]=>{{1,4},{2,3,7},{5},{6}}=>{{1,5,6},{2},{3},{4,7}}
[4,5,3,7,6,1,2]=>[4,7,3,1,5,2,6]=>{{1,4},{2,7},{3},{5},{6}}=>{{1,6},{2},{3},{4,7},{5}}
[4,5,3,7,6,2,1]=>[4,3,2,1,7,5,6]=>{{1,4},{2,3},{5,7},{6}}=>{{1,3},{2},{4,7},{5,6}}
[4,5,6,1,2,3,7]=>[4,5,6,7,1,2,3]=>{{1,4,7},{2,5},{3,6}}=>{{1,4,7},{2,5},{3,6}}
[4,5,6,1,2,7,3]=>[4,1,5,6,2,3,7]=>{{1,4,6},{2},{3,5},{7}}=>{{1},{2,4,7},{3,5},{6}}
[4,5,6,1,3,2,7]=>[4,5,3,6,1,2,7]=>{{1,4,6},{2,5},{3},{7}}=>{{1},{2,4,7},{3,6},{5}}
[4,5,6,1,3,7,2]=>[4,3,5,6,1,2,7]=>{{1,4,6},{2,3,5},{7}}=>{{1},{2,4,7},{3,5,6}}
[4,5,6,1,7,2,3]=>[4,5,1,6,2,3,7]=>{{1,4,6},{2,5},{3},{7}}=>{{1},{2,4,7},{3,6},{5}}
[4,5,6,1,7,3,2]=>[4,3,1,5,2,6,7]=>{{1,4,5},{2,3},{6},{7}}=>{{1},{2},{3,4,7},{5,6}}
[4,5,6,2,1,3,7]=>[4,5,6,2,1,3,7]=>{{1,4},{2,5},{3,6},{7}}=>{{1},{2,5},{3,6},{4,7}}
[4,5,6,2,1,7,3]=>[4,2,5,3,1,6,7]=>{{1,4},{2},{3,5},{6},{7}}=>{{1},{2},{3,5},{4,7},{6}}
[4,5,6,2,3,1,7]=>[4,5,2,6,1,3,7]=>{{1,4,6},{2,5},{3},{7}}=>{{1},{2,4,7},{3,6},{5}}
[4,5,6,2,3,7,1]=>[4,2,5,6,1,3,7]=>{{1,4,6},{2},{3,5},{7}}=>{{1},{2,4,7},{3,5},{6}}
[4,5,6,2,7,1,3]=>[4,5,2,3,1,6,7]=>{{1,4},{2,5},{3},{6},{7}}=>{{1},{2},{3,6},{4,7},{5}}
[4,5,6,2,7,3,1]=>[4,2,1,5,3,6,7]=>{{1,4,5},{2},{3},{6},{7}}=>{{1},{2},{3,4,7},{5},{6}}
[4,5,6,3,1,2,7]=>[4,5,6,3,1,2,7]=>{{1,4},{2,5},{3,6},{7}}=>{{1},{2,5},{3,6},{4,7}}
[4,5,6,3,1,7,2]=>[4,1,5,3,2,6,7]=>{{1,4},{2},{3,5},{6},{7}}=>{{1},{2},{3,5},{4,7},{6}}
[4,5,6,3,2,1,7]=>[4,5,3,2,1,6,7]=>{{1,4},{2,5},{3},{6},{7}}=>{{1},{2},{3,6},{4,7},{5}}
[4,5,6,3,2,7,1]=>[4,3,5,2,1,6,7]=>{{1,4},{2,3,5},{6},{7}}=>{{1},{2},{3,5,6},{4,7}}
[4,5,6,3,7,1,2]=>[4,5,1,3,2,6,7]=>{{1,4},{2,5},{3},{6},{7}}=>{{1},{2},{3,6},{4,7},{5}}
[4,5,6,3,7,2,1]=>[4,3,2,5,1,6,7]=>{{1,4,5},{2,3},{6},{7}}=>{{1},{2},{3,4,7},{5,6}}
[4,5,6,7,1,2,3]=>[4,5,6,1,2,3,7]=>{{1,4},{2,5},{3,6},{7}}=>{{1},{2,5},{3,6},{4,7}}
[4,5,6,7,1,3,2]=>[4,3,5,1,2,6,7]=>{{1,4},{2,3,5},{6},{7}}=>{{1},{2},{3,5,6},{4,7}}
[4,5,6,7,2,1,3]=>[4,5,2,1,3,6,7]=>{{1,4},{2,5},{3},{6},{7}}=>{{1},{2},{3,6},{4,7},{5}}
[4,5,6,7,2,3,1]=>[4,2,5,1,3,6,7]=>{{1,4},{2},{3,5},{6},{7}}=>{{1},{2},{3,5},{4,7},{6}}
[4,5,6,7,3,1,2]=>[4,5,3,1,2,6,7]=>{{1,4},{2,5},{3},{6},{7}}=>{{1},{2},{3,6},{4,7},{5}}
[4,5,6,7,3,2,1]=>[4,3,2,1,5,6,7]=>{{1,4},{2,3},{5},{6},{7}}=>{{1},{2},{3},{4,7},{5,6}}
[4,5,7,1,2,3,6]=>[1,4,5,7,2,3,6]=>{{1},{2,4,7},{3,5},{6}}=>{{1,4,6},{2},{3,5},{7}}
[4,5,7,1,2,6,3]=>[7,4,5,6,1,2,3]=>{{1,7},{2,4,6},{3,5}}=>{{1,7},{2,4,6},{3,5}}
[4,5,7,1,3,2,6]=>[4,5,3,7,1,2,6]=>{{1,4,7},{2,5},{3},{6}}=>{{1,4,7},{2},{3,6},{5}}
[4,5,7,1,3,6,2]=>[4,3,5,7,1,2,6]=>{{1,4,7},{2,3,5},{6}}=>{{1,4,7},{2},{3,5,6}}
[4,5,7,1,6,2,3]=>[4,7,5,6,1,2,3]=>{{1,4,6},{2,7},{3,5}}=>{{1,6},{2,4,7},{3,5}}
[4,5,7,1,6,3,2]=>[7,4,3,5,1,2,6]=>{{1,7},{2,4,5},{3},{6}}=>{{1,7},{2},{3,4,6},{5}}
[4,5,7,2,1,3,6]=>[4,5,7,2,1,3,6]=>{{1,4},{2,5},{3,7},{6}}=>{{1,5},{2},{3,6},{4,7}}
[4,5,7,2,1,6,3]=>[4,2,7,5,1,3,6]=>{{1,4,5},{2},{3,7},{6}}=>{{1,5},{2},{3,4,7},{6}}
[4,5,7,2,3,1,6]=>[4,5,2,7,1,3,6]=>{{1,4,7},{2,5},{3},{6}}=>{{1,4,7},{2},{3,6},{5}}
[4,5,7,2,3,6,1]=>[4,2,5,7,1,3,6]=>{{1,4,7},{2},{3,5},{6}}=>{{1,4,7},{2},{3,5},{6}}
[4,5,7,2,6,1,3]=>[4,7,2,5,1,3,6]=>{{1,4,5},{2,7},{3},{6}}=>{{1,6},{2},{3,4,7},{5}}
[4,5,7,2,6,3,1]=>[7,4,2,5,1,3,6]=>{{1,7},{2,4,5},{3},{6}}=>{{1,7},{2},{3,4,6},{5}}
[4,5,7,3,1,2,6]=>[4,5,7,3,1,2,6]=>{{1,4},{2,5},{3,7},{6}}=>{{1,5},{2},{3,6},{4,7}}
[4,5,7,3,1,6,2]=>[4,3,7,5,1,2,6]=>{{1,4,5},{2,3,7},{6}}=>{{1,5,6},{2},{3,4,7}}
[4,5,7,3,2,1,6]=>[4,7,3,2,1,5,6]=>{{1,4},{2,7},{3},{5},{6}}=>{{1,6},{2},{3},{4,7},{5}}
[4,5,7,3,2,6,1]=>[4,3,7,2,1,5,6]=>{{1,4},{2,3,7},{5},{6}}=>{{1,5,6},{2},{3},{4,7}}
[4,5,7,3,6,1,2]=>[4,7,3,5,1,2,6]=>{{1,4,5},{2,7},{3},{6}}=>{{1,6},{2},{3,4,7},{5}}
[4,5,7,3,6,2,1]=>[4,3,2,7,1,5,6]=>{{1,4,7},{2,3},{5},{6}}=>{{1,4,7},{2},{3},{5,6}}
[4,5,7,6,1,2,3]=>[4,5,7,6,1,2,3]=>{{1,4,6},{2,5},{3,7}}=>{{1,5},{2,4,7},{3,6}}
[4,5,7,6,1,3,2]=>[7,4,5,3,1,2,6]=>{{1,7},{2,4},{3,5},{6}}=>{{1,7},{2},{3,5},{4,6}}
[4,5,7,6,2,1,3]=>[4,7,5,2,1,3,6]=>{{1,4},{2,7},{3,5},{6}}=>{{1,6},{2},{3,5},{4,7}}
[4,5,7,6,2,3,1]=>[7,4,5,2,1,3,6]=>{{1,7},{2,4},{3,5},{6}}=>{{1,7},{2},{3,5},{4,6}}
[4,5,7,6,3,1,2]=>[4,7,5,3,1,2,6]=>{{1,4},{2,7},{3,5},{6}}=>{{1,6},{2},{3,5},{4,7}}
[4,5,7,6,3,2,1]=>[7,4,3,2,1,5,6]=>{{1,7},{2,4},{3},{5},{6}}=>{{1,7},{2},{3},{4,6},{5}}
[4,6,1,2,3,5,7]=>[1,2,4,6,7,3,5]=>{{1},{2},{3,4,6},{5,7}}=>{{1,3},{2,4,5},{6},{7}}
[4,6,1,2,3,7,5]=>[4,1,2,6,7,3,5]=>{{1,4,6},{2},{3},{5,7}}=>{{1,3},{2,4,7},{5},{6}}
[4,6,1,2,5,3,7]=>[1,6,4,5,7,2,3]=>{{1},{2,6},{3,4,5,7}}=>{{1,3,4,5},{2,6},{7}}
[4,6,1,2,5,7,3]=>[6,1,4,5,7,2,3]=>{{1,6},{2},{3,4,5,7}}=>{{1,3,4,5},{2,7},{6}}
[4,6,1,2,7,3,5]=>[1,4,2,6,7,3,5]=>{{1},{2,4,6},{3},{5,7}}=>{{1,3},{2,4,6},{5},{7}}
[4,6,1,2,7,5,3]=>[6,4,1,5,7,2,3]=>{{1,6},{2,4,5,7},{3}}=>{{1,3,4,6},{2,7},{5}}
[4,6,1,3,2,5,7]=>[1,4,6,3,7,2,5]=>{{1},{2,4},{3,6},{5,7}}=>{{1,3},{2,5},{4,6},{7}}
[4,6,1,3,2,7,5]=>[4,1,6,3,7,2,5]=>{{1,4},{2},{3,6},{5,7}}=>{{1,3},{2,5},{4,7},{6}}
[4,6,1,3,5,2,7]=>[1,4,3,6,7,2,5]=>{{1},{2,4,6},{3},{5,7}}=>{{1,3},{2,4,6},{5},{7}}
[4,6,1,3,5,7,2]=>[4,1,3,6,7,2,5]=>{{1,4,6},{2},{3},{5,7}}=>{{1,3},{2,4,7},{5},{6}}
[4,6,1,3,7,2,5]=>[4,6,1,3,7,2,5]=>{{1,4},{2,6},{3},{5,7}}=>{{1,3},{2,6},{4,7},{5}}
[4,6,1,3,7,5,2]=>[4,3,1,6,7,2,5]=>{{1,4,6},{2,3},{5,7}}=>{{1,3},{2,4,7},{5,6}}
[4,6,1,5,2,3,7]=>[1,4,6,5,7,2,3]=>{{1},{2,4,5,7},{3,6}}=>{{1,3,4,6},{2,5},{7}}
[4,6,1,5,2,7,3]=>[4,1,6,5,7,2,3]=>{{1,4,5,7},{2},{3,6}}=>{{1,3,4,7},{2,5},{6}}
[4,6,1,5,3,2,7]=>[4,6,5,3,7,1,2]=>{{1,4},{2,6},{3,5,7}}=>{{1,3,5},{2,6},{4,7}}
[4,6,1,5,3,7,2]=>[6,4,5,3,7,1,2]=>{{1,6},{2,4},{3,5,7}}=>{{1,3,5},{2,7},{4,6}}
[4,6,1,5,7,2,3]=>[4,6,1,5,7,2,3]=>{{1,4,5,7},{2,6},{3}}=>{{1,3,4,7},{2,6},{5}}
[4,6,1,5,7,3,2]=>[6,4,3,5,7,1,2]=>{{1,6},{2,4,5,7},{3}}=>{{1,3,4,6},{2,7},{5}}
[4,6,1,7,2,3,5]=>[1,4,6,2,7,3,5]=>{{1},{2,4},{3,6},{5,7}}=>{{1,3},{2,5},{4,6},{7}}
[4,6,1,7,2,5,3]=>[6,4,5,1,7,2,3]=>{{1,6},{2,4},{3,5,7}}=>{{1,3,5},{2,7},{4,6}}
[4,6,1,7,3,2,5]=>[4,6,3,1,7,2,5]=>{{1,4},{2,6},{3},{5,7}}=>{{1,3},{2,6},{4,7},{5}}
[4,6,1,7,3,5,2]=>[4,3,6,1,7,2,5]=>{{1,4},{2,3,6},{5,7}}=>{{1,3},{2,5,6},{4,7}}
[4,6,1,7,5,2,3]=>[4,6,5,1,7,2,3]=>{{1,4},{2,6},{3,5,7}}=>{{1,3,5},{2,6},{4,7}}
[4,6,1,7,5,3,2]=>[6,4,3,1,5,2,7]=>{{1,6},{2,4},{3},{5},{7}}=>{{1},{2,7},{3},{4,6},{5}}
[4,6,2,1,3,5,7]=>[2,4,6,7,3,1,5]=>{{1,2,4,7},{3,6},{5}}=>{{1,4,6,7},{2,5},{3}}
[4,6,2,1,3,7,5]=>[4,2,6,7,3,1,5]=>{{1,4,7},{2},{3,6},{5}}=>{{1,4,7},{2,5},{3},{6}}
[4,6,2,1,5,3,7]=>[4,6,2,7,5,1,3]=>{{1,4,7},{2,6},{3},{5}}=>{{1,4,7},{2,6},{3},{5}}
[4,6,2,1,5,7,3]=>[4,2,6,7,5,1,3]=>{{1,4,7},{2},{3,6},{5}}=>{{1,4,7},{2,5},{3},{6}}
[4,6,2,1,7,3,5]=>[4,6,2,7,3,1,5]=>{{1,4,7},{2,6},{3},{5}}=>{{1,4,7},{2,6},{3},{5}}
[4,6,2,1,7,5,3]=>[4,2,1,6,5,3,7]=>{{1,4,6},{2},{3},{5},{7}}=>{{1},{2,4,7},{3},{5},{6}}
[4,6,2,3,1,5,7]=>[2,4,6,3,7,1,5]=>{{1,2,4},{3,6},{5,7}}=>{{1,3},{2,5},{4,6,7}}
[4,6,2,3,1,7,5]=>[4,2,6,3,7,1,5]=>{{1,4},{2},{3,6},{5,7}}=>{{1,3},{2,5},{4,7},{6}}
[4,6,2,3,5,1,7]=>[2,4,3,6,7,1,5]=>{{1,2,4,6},{3},{5,7}}=>{{1,3},{2,4,6,7},{5}}
[4,6,2,3,5,7,1]=>[4,2,3,6,7,1,5]=>{{1,4,6},{2},{3},{5,7}}=>{{1,3},{2,4,7},{5},{6}}
[4,6,2,3,7,1,5]=>[4,6,2,3,7,1,5]=>{{1,4},{2,6},{3},{5,7}}=>{{1,3},{2,6},{4,7},{5}}
[4,6,2,3,7,5,1]=>[4,2,1,6,7,3,5]=>{{1,4,6},{2},{3},{5,7}}=>{{1,3},{2,4,7},{5},{6}}
[4,6,2,5,1,3,7]=>[4,6,7,2,5,1,3]=>{{1,4},{2,6},{3,7},{5}}=>{{1,5},{2,6},{3},{4,7}}
[4,6,2,5,1,7,3]=>[4,2,6,5,7,1,3]=>{{1,4,5,7},{2},{3,6}}=>{{1,3,4,7},{2,5},{6}}
[4,6,2,5,3,1,7]=>[4,6,5,2,7,1,3]=>{{1,4},{2,6},{3,5,7}}=>{{1,3,5},{2,6},{4,7}}
[4,6,2,5,3,7,1]=>[6,4,5,2,7,1,3]=>{{1,6},{2,4},{3,5,7}}=>{{1,3,5},{2,7},{4,6}}
[4,6,2,5,7,1,3]=>[4,6,2,5,7,1,3]=>{{1,4,5,7},{2,6},{3}}=>{{1,3,4,7},{2,6},{5}}
[4,6,2,5,7,3,1]=>[6,4,2,5,7,1,3]=>{{1,6},{2,4,5,7},{3}}=>{{1,3,4,6},{2,7},{5}}
[4,6,2,7,1,3,5]=>[4,6,7,2,3,1,5]=>{{1,4},{2,6},{3,7},{5}}=>{{1,5},{2,6},{3},{4,7}}
[4,6,2,7,1,5,3]=>[4,2,6,1,5,3,7]=>{{1,4},{2},{3,6},{5},{7}}=>{{1},{2,5},{3},{4,7},{6}}
[4,6,2,7,3,1,5]=>[4,6,2,1,7,3,5]=>{{1,4},{2,6},{3},{5,7}}=>{{1,3},{2,6},{4,7},{5}}
[4,6,2,7,3,5,1]=>[4,2,6,1,7,3,5]=>{{1,4},{2},{3,6},{5,7}}=>{{1,3},{2,5},{4,7},{6}}
[4,6,2,7,5,1,3]=>[4,6,2,1,5,3,7]=>{{1,4},{2,6},{3},{5},{7}}=>{{1},{2,6},{3},{4,7},{5}}
[4,6,2,7,5,3,1]=>[6,4,2,1,5,3,7]=>{{1,6},{2,4},{3},{5},{7}}=>{{1},{2,7},{3},{4,6},{5}}
[4,6,3,1,2,5,7]=>[1,4,6,7,3,2,5]=>{{1},{2,4,7},{3,6},{5}}=>{{1,4,6},{2,5},{3},{7}}
[4,6,3,1,2,7,5]=>[4,1,6,7,3,2,5]=>{{1,4,7},{2},{3,6},{5}}=>{{1,4,7},{2,5},{3},{6}}
[4,6,3,1,5,2,7]=>[4,6,3,7,5,1,2]=>{{1,4,7},{2,6},{3},{5}}=>{{1,4,7},{2,6},{3},{5}}
[4,6,3,1,5,7,2]=>[4,3,6,7,5,1,2]=>{{1,4,7},{2,3,6},{5}}=>{{1,4,7},{2,5,6},{3}}
[4,6,3,1,7,2,5]=>[4,6,1,7,3,2,5]=>{{1,4,7},{2,6},{3},{5}}=>{{1,4,7},{2,6},{3},{5}}
[4,6,3,1,7,5,2]=>[4,3,1,6,5,2,7]=>{{1,4,6},{2,3},{5},{7}}=>{{1},{2,4,7},{3},{5,6}}
[4,6,3,2,1,5,7]=>[4,6,7,3,2,1,5]=>{{1,4},{2,6},{3,7},{5}}=>{{1,5},{2,6},{3},{4,7}}
[4,6,3,2,1,7,5]=>[4,3,6,5,2,1,7]=>{{1,4,5},{2,3,6},{7}}=>{{1},{2,5,6},{3,4,7}}
[4,6,3,2,5,1,7]=>[4,6,3,7,2,1,5]=>{{1,4,7},{2,6},{3},{5}}=>{{1,4,7},{2,6},{3},{5}}
[4,6,3,2,5,7,1]=>[4,3,6,7,2,1,5]=>{{1,4,7},{2,3,6},{5}}=>{{1,4,7},{2,5,6},{3}}
[4,6,3,2,7,1,5]=>[4,6,3,5,2,1,7]=>{{1,4,5},{2,6},{3},{7}}=>{{1},{2,6},{3,4,7},{5}}
[4,6,3,2,7,5,1]=>[4,3,2,6,5,1,7]=>{{1,4,6},{2,3},{5},{7}}=>{{1},{2,4,7},{3},{5,6}}
[4,6,3,5,1,2,7]=>[4,6,7,3,5,1,2]=>{{1,4},{2,6},{3,7},{5}}=>{{1,5},{2,6},{3},{4,7}}
[4,6,3,5,1,7,2]=>[4,3,6,5,7,1,2]=>{{1,4,5,7},{2,3,6}}=>{{1,3,4,7},{2,5,6}}
[4,6,3,5,2,1,7]=>[4,6,3,2,7,1,5]=>{{1,4},{2,6},{3},{5,7}}=>{{1,3},{2,6},{4,7},{5}}
[4,6,3,5,2,7,1]=>[4,3,6,2,7,1,5]=>{{1,4},{2,3,6},{5,7}}=>{{1,3},{2,5,6},{4,7}}
[4,6,3,5,7,1,2]=>[4,6,3,5,7,1,2]=>{{1,4,5,7},{2,6},{3}}=>{{1,3,4,7},{2,6},{5}}
[4,6,3,5,7,2,1]=>[4,3,2,6,7,1,5]=>{{1,4,6},{2,3},{5,7}}=>{{1,3},{2,4,7},{5,6}}
[4,6,3,7,1,2,5]=>[4,6,7,1,3,2,5]=>{{1,4},{2,6},{3,7},{5}}=>{{1,5},{2,6},{3},{4,7}}
[4,6,3,7,1,5,2]=>[4,3,6,1,5,2,7]=>{{1,4},{2,3,6},{5},{7}}=>{{1},{2,5,6},{3},{4,7}}
[4,6,3,7,2,1,5]=>[4,6,3,2,5,1,7]=>{{1,4},{2,6},{3},{5},{7}}=>{{1},{2,6},{3},{4,7},{5}}
[4,6,3,7,2,5,1]=>[4,3,6,2,5,1,7]=>{{1,4},{2,3,6},{5},{7}}=>{{1},{2,5,6},{3},{4,7}}
[4,6,3,7,5,1,2]=>[4,6,3,1,5,2,7]=>{{1,4},{2,6},{3},{5},{7}}=>{{1},{2,6},{3},{4,7},{5}}
[4,6,3,7,5,2,1]=>[4,3,2,1,6,5,7]=>{{1,4},{2,3},{5,6},{7}}=>{{1},{2,3},{4,7},{5,6}}
[4,6,5,1,2,3,7]=>[1,4,6,7,5,2,3]=>{{1},{2,4,7},{3,6},{5}}=>{{1,4,6},{2,5},{3},{7}}
[4,6,5,1,2,7,3]=>[4,1,6,7,5,2,3]=>{{1,4,7},{2},{3,6},{5}}=>{{1,4,7},{2,5},{3},{6}}
[4,6,5,1,3,2,7]=>[4,6,5,7,3,1,2]=>{{1,4,7},{2,6},{3,5}}=>{{1,4,7},{2,6},{3,5}}
[4,6,5,1,3,7,2]=>[6,4,5,7,3,1,2]=>{{1,6},{2,4,7},{3,5}}=>{{1,4,6},{2,7},{3,5}}
[4,6,5,1,7,2,3]=>[4,6,1,7,5,2,3]=>{{1,4,7},{2,6},{3},{5}}=>{{1,4,7},{2,6},{3},{5}}
[4,6,5,1,7,3,2]=>[6,4,1,5,3,2,7]=>{{1,6},{2,4,5},{3},{7}}=>{{1},{2,7},{3,4,6},{5}}
[4,6,5,2,1,3,7]=>[4,6,7,5,2,1,3]=>{{1,4,5},{2,6},{3,7}}=>{{1,5},{2,6},{3,4,7}}
[4,6,5,2,1,7,3]=>[4,2,6,5,3,1,7]=>{{1,4,5},{2},{3,6},{7}}=>{{1},{2,5},{3,4,7},{6}}
[4,6,5,2,3,1,7]=>[4,6,5,7,2,1,3]=>{{1,4,7},{2,6},{3,5}}=>{{1,4,7},{2,6},{3,5}}
[4,6,5,2,3,7,1]=>[6,4,5,7,2,1,3]=>{{1,6},{2,4,7},{3,5}}=>{{1,4,6},{2,7},{3,5}}
[4,6,5,2,7,1,3]=>[4,6,2,5,3,1,7]=>{{1,4,5},{2,6},{3},{7}}=>{{1},{2,6},{3,4,7},{5}}
[4,6,5,2,7,3,1]=>[6,4,2,5,3,1,7]=>{{1,6},{2,4,5},{3},{7}}=>{{1},{2,7},{3,4,6},{5}}
[4,6,5,3,1,2,7]=>[4,6,7,5,3,1,2]=>{{1,4,5},{2,6},{3,7}}=>{{1,5},{2,6},{3,4,7}}
[4,6,5,3,1,7,2]=>[4,1,6,5,3,2,7]=>{{1,4,5},{2},{3,6},{7}}=>{{1},{2,5},{3,4,7},{6}}
[4,6,5,3,2,1,7]=>[4,6,5,3,2,1,7]=>{{1,4},{2,6},{3,5},{7}}=>{{1},{2,6},{3,5},{4,7}}
[4,6,5,3,2,7,1]=>[6,4,5,3,2,1,7]=>{{1,6},{2,4},{3,5},{7}}=>{{1},{2,7},{3,5},{4,6}}
[4,6,5,3,7,1,2]=>[4,6,1,5,3,2,7]=>{{1,4,5},{2,6},{3},{7}}=>{{1},{2,6},{3,4,7},{5}}
[4,6,5,3,7,2,1]=>[6,4,3,5,2,1,7]=>{{1,6},{2,4,5},{3},{7}}=>{{1},{2,7},{3,4,6},{5}}
[4,6,5,7,1,2,3]=>[4,6,7,1,5,2,3]=>{{1,4},{2,6},{3,7},{5}}=>{{1,5},{2,6},{3},{4,7}}
[4,6,5,7,1,3,2]=>[6,4,5,1,3,2,7]=>{{1,6},{2,4},{3,5},{7}}=>{{1},{2,7},{3,5},{4,6}}
[4,6,5,7,2,1,3]=>[4,6,5,2,3,1,7]=>{{1,4},{2,6},{3,5},{7}}=>{{1},{2,6},{3,5},{4,7}}
[4,6,5,7,2,3,1]=>[6,4,5,2,3,1,7]=>{{1,6},{2,4},{3,5},{7}}=>{{1},{2,7},{3,5},{4,6}}
[4,6,5,7,3,1,2]=>[4,6,5,1,3,2,7]=>{{1,4},{2,6},{3,5},{7}}=>{{1},{2,6},{3,5},{4,7}}
[4,6,5,7,3,2,1]=>[6,4,3,2,5,1,7]=>{{1,6},{2,4},{3},{5},{7}}=>{{1},{2,7},{3},{4,6},{5}}
[4,6,7,1,2,3,5]=>[1,4,6,7,2,3,5]=>{{1},{2,4,7},{3,6},{5}}=>{{1,4,6},{2,5},{3},{7}}
[4,6,7,1,2,5,3]=>[6,4,5,7,1,2,3]=>{{1,6},{2,4,7},{3,5}}=>{{1,4,6},{2,7},{3,5}}
[4,6,7,1,3,2,5]=>[4,6,3,7,1,2,5]=>{{1,4,7},{2,6},{3},{5}}=>{{1,4,7},{2,6},{3},{5}}
[4,6,7,1,3,5,2]=>[4,3,6,7,1,2,5]=>{{1,4,7},{2,3,6},{5}}=>{{1,4,7},{2,5,6},{3}}
[4,6,7,1,5,2,3]=>[4,6,5,7,1,2,3]=>{{1,4,7},{2,6},{3,5}}=>{{1,4,7},{2,6},{3,5}}
[4,6,7,1,5,3,2]=>[6,4,3,5,1,2,7]=>{{1,6},{2,4,5},{3},{7}}=>{{1},{2,7},{3,4,6},{5}}
[4,6,7,2,1,3,5]=>[4,6,7,2,1,3,5]=>{{1,4},{2,6},{3,7},{5}}=>{{1,5},{2,6},{3},{4,7}}
[4,6,7,2,1,5,3]=>[4,2,6,5,1,3,7]=>{{1,4,5},{2},{3,6},{7}}=>{{1},{2,5},{3,4,7},{6}}
[4,6,7,2,3,1,5]=>[4,6,2,7,1,3,5]=>{{1,4,7},{2,6},{3},{5}}=>{{1,4,7},{2,6},{3},{5}}
[4,6,7,2,3,5,1]=>[4,2,6,7,1,3,5]=>{{1,4,7},{2},{3,6},{5}}=>{{1,4,7},{2,5},{3},{6}}
[4,6,7,2,5,1,3]=>[4,6,2,5,1,3,7]=>{{1,4,5},{2,6},{3},{7}}=>{{1},{2,6},{3,4,7},{5}}
[4,6,7,2,5,3,1]=>[6,4,2,5,1,3,7]=>{{1,6},{2,4,5},{3},{7}}=>{{1},{2,7},{3,4,6},{5}}
[4,6,7,3,1,2,5]=>[4,6,7,3,1,2,5]=>{{1,4},{2,6},{3,7},{5}}=>{{1,5},{2,6},{3},{4,7}}
[4,6,7,3,1,5,2]=>[4,3,6,5,1,2,7]=>{{1,4,5},{2,3,6},{7}}=>{{1},{2,5,6},{3,4,7}}
[4,6,7,3,2,1,5]=>[4,6,3,2,1,5,7]=>{{1,4},{2,6},{3},{5},{7}}=>{{1},{2,6},{3},{4,7},{5}}
[4,6,7,3,2,5,1]=>[4,3,6,2,1,5,7]=>{{1,4},{2,3,6},{5},{7}}=>{{1},{2,5,6},{3},{4,7}}
[4,6,7,3,5,1,2]=>[4,6,3,5,1,2,7]=>{{1,4,5},{2,6},{3},{7}}=>{{1},{2,6},{3,4,7},{5}}
[4,6,7,3,5,2,1]=>[4,3,2,6,1,5,7]=>{{1,4,6},{2,3},{5},{7}}=>{{1},{2,4,7},{3},{5,6}}
[4,6,7,5,1,2,3]=>[4,6,7,5,1,2,3]=>{{1,4,5},{2,6},{3,7}}=>{{1,5},{2,6},{3,4,7}}
[4,6,7,5,1,3,2]=>[6,4,5,3,1,2,7]=>{{1,6},{2,4},{3,5},{7}}=>{{1},{2,7},{3,5},{4,6}}
[4,6,7,5,2,1,3]=>[4,6,5,2,1,3,7]=>{{1,4},{2,6},{3,5},{7}}=>{{1},{2,6},{3,5},{4,7}}
[4,6,7,5,2,3,1]=>[6,4,5,2,1,3,7]=>{{1,6},{2,4},{3,5},{7}}=>{{1},{2,7},{3,5},{4,6}}
[4,6,7,5,3,1,2]=>[4,6,5,3,1,2,7]=>{{1,4},{2,6},{3,5},{7}}=>{{1},{2,6},{3,5},{4,7}}
[4,6,7,5,3,2,1]=>[6,4,3,2,1,5,7]=>{{1,6},{2,4},{3},{5},{7}}=>{{1},{2,7},{3},{4,6},{5}}
[4,7,1,2,3,5,6]=>[1,2,4,5,7,3,6]=>{{1},{2},{3,4,5,7},{6}}=>{{1,3,4,5},{2},{6},{7}}
[4,7,1,2,3,6,5]=>[7,1,2,4,6,3,5]=>{{1,7},{2},{3},{4},{5,6}}=>{{1,7},{2,3},{4},{5},{6}}
[4,7,1,2,5,3,6]=>[1,7,4,5,6,2,3]=>{{1},{2,7},{3,4,5,6}}=>{{1,6},{2,3,4,5},{7}}
[4,7,1,2,5,6,3]=>[7,1,4,5,6,2,3]=>{{1,7},{2},{3,4,5,6}}=>{{1,7},{2,3,4,5},{6}}
[4,7,1,2,6,3,5]=>[1,7,2,4,6,3,5]=>{{1},{2,7},{3},{4},{5,6}}=>{{1,6},{2,3},{4},{5},{7}}
[4,7,1,2,6,5,3]=>[7,6,1,4,5,2,3]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[4,7,1,3,2,5,6]=>[1,4,5,3,7,2,6]=>{{1},{2,4},{3,5,7},{6}}=>{{1,3,5},{2},{4,6},{7}}
[4,7,1,3,2,6,5]=>[4,1,7,3,6,2,5]=>{{1,4},{2},{3,7},{5,6}}=>{{1,5},{2,3},{4,7},{6}}
[4,7,1,3,5,2,6]=>[1,4,3,5,7,2,6]=>{{1},{2,4,5,7},{3},{6}}=>{{1,3,4,6},{2},{5},{7}}
[4,7,1,3,5,6,2]=>[4,1,3,5,7,2,6]=>{{1,4,5,7},{2},{3},{6}}=>{{1,3,4,7},{2},{5},{6}}
[4,7,1,3,6,2,5]=>[4,7,1,3,6,2,5]=>{{1,4},{2,7},{3},{5,6}}=>{{1,6},{2,3},{4,7},{5}}
[4,7,1,3,6,5,2]=>[7,4,1,3,6,2,5]=>{{1,7},{2,4},{3},{5,6}}=>{{1,7},{2,3},{4,6},{5}}
[4,7,1,5,2,3,6]=>[1,4,7,5,6,2,3]=>{{1},{2,4,5,6},{3,7}}=>{{1,5},{2,3,4,6},{7}}
[4,7,1,5,2,6,3]=>[4,1,7,5,6,2,3]=>{{1,4,5,6},{2},{3,7}}=>{{1,5},{2,3,4,7},{6}}
[4,7,1,5,3,2,6]=>[4,7,5,3,6,1,2]=>{{1,4},{2,7},{3,5,6}}=>{{1,6},{2,3,5},{4,7}}
[4,7,1,5,3,6,2]=>[7,4,5,3,6,1,2]=>{{1,7},{2,4},{3,5,6}}=>{{1,7},{2,3,5},{4,6}}
[4,7,1,5,6,2,3]=>[4,7,1,5,6,2,3]=>{{1,4,5,6},{2,7},{3}}=>{{1,6},{2,3,4,7},{5}}
[4,7,1,5,6,3,2]=>[7,4,3,5,6,1,2]=>{{1,7},{2,4,5,6},{3}}=>{{1,7},{2,3,4,6},{5}}
[4,7,1,6,2,3,5]=>[1,2,7,4,6,3,5]=>{{1},{2},{3,7},{4},{5,6}}=>{{1,5},{2,3},{4},{6},{7}}
[4,7,1,6,2,5,3]=>[7,1,6,4,5,2,3]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,7},{2,5},{3},{4},{6}}
[4,7,1,6,3,2,5]=>[1,7,4,3,6,2,5]=>{{1},{2,7},{3,4},{5,6}}=>{{1,6},{2,3},{4,5},{7}}
[4,7,1,6,3,5,2]=>[7,1,4,3,6,2,5]=>{{1,7},{2},{3,4},{5,6}}=>{{1,7},{2,3},{4,5},{6}}
[4,7,1,6,5,2,3]=>[1,7,6,4,5,2,3]=>{{1},{2,7},{3,6},{4},{5}}=>{{1,6},{2,5},{3},{4},{7}}
[4,7,1,6,5,3,2]=>[7,6,4,3,5,1,2]=>{{1,7},{2,6},{3,4},{5}}=>{{1,7},{2,6},{3},{4,5}}
[4,7,2,1,3,5,6]=>[2,4,5,7,3,1,6]=>{{1,2,4,7},{3,5},{6}}=>{{1,4,6,7},{2},{3,5}}
[4,7,2,1,3,6,5]=>[4,2,3,7,6,1,5]=>{{1,4,7},{2},{3},{5,6}}=>{{1,4,7},{2,3},{5},{6}}
[4,7,2,1,5,3,6]=>[4,5,2,7,6,1,3]=>{{1,4,7},{2,5,6},{3}}=>{{1,4,7},{2,3,6},{5}}
[4,7,2,1,5,6,3]=>[4,2,5,7,6,1,3]=>{{1,4,7},{2},{3,5,6}}=>{{1,4,7},{2,3,5},{6}}
[4,7,2,1,6,3,5]=>[2,4,3,7,6,1,5]=>{{1,2,4,7},{3},{5,6}}=>{{1,4,6,7},{2,3},{5}}
[4,7,2,1,6,5,3]=>[7,4,2,6,5,1,3]=>{{1,7},{2,4,6},{3},{5}}=>{{1,7},{2,4,6},{3},{5}}
[4,7,2,3,1,5,6]=>[2,4,5,3,7,1,6]=>{{1,2,4},{3,5,7},{6}}=>{{1,3,5},{2},{4,6,7}}
[4,7,2,3,1,6,5]=>[4,2,7,3,6,1,5]=>{{1,4},{2},{3,7},{5,6}}=>{{1,5},{2,3},{4,7},{6}}
[4,7,2,3,5,1,6]=>[2,4,3,5,7,1,6]=>{{1,2,4,5,7},{3},{6}}=>{{1,3,4,6,7},{2},{5}}
[4,7,2,3,5,6,1]=>[4,2,3,5,7,1,6]=>{{1,4,5,7},{2},{3},{6}}=>{{1,3,4,7},{2},{5},{6}}
[4,7,2,3,6,1,5]=>[4,7,2,3,6,1,5]=>{{1,4},{2,7},{3},{5,6}}=>{{1,6},{2,3},{4,7},{5}}
[4,7,2,3,6,5,1]=>[7,4,2,3,6,1,5]=>{{1,7},{2,4},{3},{5,6}}=>{{1,7},{2,3},{4,6},{5}}
[4,7,2,5,1,3,6]=>[4,5,7,2,6,1,3]=>{{1,4},{2,5,6},{3,7}}=>{{1,5},{2,3,6},{4,7}}
[4,7,2,5,1,6,3]=>[4,2,7,5,6,1,3]=>{{1,4,5,6},{2},{3,7}}=>{{1,5},{2,3,4,7},{6}}
[4,7,2,5,3,1,6]=>[4,7,5,2,6,1,3]=>{{1,4},{2,7},{3,5,6}}=>{{1,6},{2,3,5},{4,7}}
[4,7,2,5,3,6,1]=>[7,4,5,2,6,1,3]=>{{1,7},{2,4},{3,5,6}}=>{{1,7},{2,3,5},{4,6}}
[4,7,2,5,6,1,3]=>[4,7,2,5,6,1,3]=>{{1,4,5,6},{2,7},{3}}=>{{1,6},{2,3,4,7},{5}}
[4,7,2,5,6,3,1]=>[7,4,2,5,6,1,3]=>{{1,7},{2,4,5,6},{3}}=>{{1,7},{2,3,4,6},{5}}
[4,7,2,6,1,3,5]=>[2,4,7,3,6,1,5]=>{{1,2,4},{3,7},{5,6}}=>{{1,5},{2,3},{4,6,7}}
[4,7,2,6,1,5,3]=>[7,4,6,2,5,1,3]=>{{1,7},{2,4},{3,6},{5}}=>{{1,7},{2,5},{3},{4,6}}
[4,7,2,6,3,1,5]=>[2,7,4,3,6,1,5]=>{{1,2,7},{3,4},{5,6}}=>{{1,6,7},{2,3},{4,5}}
[4,7,2,6,3,5,1]=>[7,2,4,3,6,1,5]=>{{1,7},{2},{3,4},{5,6}}=>{{1,7},{2,3},{4,5},{6}}
[4,7,2,6,5,1,3]=>[4,7,6,2,5,1,3]=>{{1,4},{2,7},{3,6},{5}}=>{{1,6},{2,5},{3},{4,7}}
[4,7,2,6,5,3,1]=>[7,6,4,2,5,1,3]=>{{1,7},{2,6},{3,4},{5}}=>{{1,7},{2,6},{3},{4,5}}
[4,7,3,1,2,5,6]=>[1,4,5,7,3,2,6]=>{{1},{2,4,7},{3,5},{6}}=>{{1,4,6},{2},{3,5},{7}}
[4,7,3,1,2,6,5]=>[4,1,3,7,6,2,5]=>{{1,4,7},{2},{3},{5,6}}=>{{1,4,7},{2,3},{5},{6}}
[4,7,3,1,5,2,6]=>[4,5,3,7,6,1,2]=>{{1,4,7},{2,5,6},{3}}=>{{1,4,7},{2,3,6},{5}}
[4,7,3,1,5,6,2]=>[4,3,5,7,6,1,2]=>{{1,4,7},{2,3,5,6}}=>{{1,4,7},{2,3,5,6}}
[4,7,3,1,6,2,5]=>[1,4,3,7,6,2,5]=>{{1},{2,4,7},{3},{5,6}}=>{{1,4,6},{2,3},{5},{7}}
[4,7,3,1,6,5,2]=>[7,4,3,6,5,1,2]=>{{1,7},{2,4,6},{3},{5}}=>{{1,7},{2,4,6},{3},{5}}
[4,7,3,2,1,5,6]=>[4,5,7,3,2,1,6]=>{{1,4},{2,5},{3,7},{6}}=>{{1,5},{2},{3,6},{4,7}}
[4,7,3,2,1,6,5]=>[4,3,7,6,2,1,5]=>{{1,4,6},{2,3,7},{5}}=>{{1,5,6},{2,4,7},{3}}
[4,7,3,2,5,1,6]=>[4,5,3,7,2,1,6]=>{{1,4,7},{2,5},{3},{6}}=>{{1,4,7},{2},{3,6},{5}}
[4,7,3,2,5,6,1]=>[4,3,5,7,2,1,6]=>{{1,4,7},{2,3,5},{6}}=>{{1,4,7},{2},{3,5,6}}
[4,7,3,2,6,1,5]=>[4,7,3,6,2,1,5]=>{{1,4,6},{2,7},{3},{5}}=>{{1,6},{2,4,7},{3},{5}}
[4,7,3,2,6,5,1]=>[4,3,2,7,6,1,5]=>{{1,4,7},{2,3},{5,6}}=>{{1,4,7},{2,3},{5,6}}
[4,7,3,5,1,2,6]=>[4,5,7,3,6,1,2]=>{{1,4},{2,5,6},{3,7}}=>{{1,5},{2,3,6},{4,7}}
[4,7,3,5,1,6,2]=>[4,3,7,5,6,1,2]=>{{1,4,5,6},{2,3,7}}=>{{1,5,6},{2,3,4,7}}
[4,7,3,5,2,1,6]=>[4,5,3,2,7,1,6]=>{{1,4},{2,5,7},{3},{6}}=>{{1,3,6},{2},{4,7},{5}}
[4,7,3,5,2,6,1]=>[4,3,5,2,7,1,6]=>{{1,4},{2,3,5,7},{6}}=>{{1,3,5,6},{2},{4,7}}
[4,7,3,5,6,1,2]=>[4,7,3,5,6,1,2]=>{{1,4,5,6},{2,7},{3}}=>{{1,6},{2,3,4,7},{5}}
[4,7,3,5,6,2,1]=>[4,3,2,5,7,1,6]=>{{1,4,5,7},{2,3},{6}}=>{{1,3,4,7},{2},{5,6}}
[4,7,3,6,1,2,5]=>[1,4,7,3,6,2,5]=>{{1},{2,4},{3,7},{5,6}}=>{{1,5},{2,3},{4,6},{7}}
[4,7,3,6,1,5,2]=>[7,4,6,3,5,1,2]=>{{1,7},{2,4},{3,6},{5}}=>{{1,7},{2,5},{3},{4,6}}
[4,7,3,6,2,1,5]=>[4,7,3,2,6,1,5]=>{{1,4},{2,7},{3},{5,6}}=>{{1,6},{2,3},{4,7},{5}}
[4,7,3,6,2,5,1]=>[4,3,7,2,6,1,5]=>{{1,4},{2,3,7},{5,6}}=>{{1,5,6},{2,3},{4,7}}
[4,7,3,6,5,1,2]=>[4,7,6,3,5,1,2]=>{{1,4},{2,7},{3,6},{5}}=>{{1,6},{2,5},{3},{4,7}}
[4,7,3,6,5,2,1]=>[7,4,3,2,6,1,5]=>{{1,7},{2,4},{3},{5,6}}=>{{1,7},{2,3},{4,6},{5}}
[4,7,5,1,2,3,6]=>[1,4,5,7,6,2,3]=>{{1},{2,4,7},{3,5,6}}=>{{1,4,6},{2,3,5},{7}}
[4,7,5,1,2,6,3]=>[4,1,5,7,6,2,3]=>{{1,4,7},{2},{3,5,6}}=>{{1,4,7},{2,3,5},{6}}
[4,7,5,1,3,2,6]=>[4,7,5,6,3,1,2]=>{{1,4,6},{2,7},{3,5}}=>{{1,6},{2,4,7},{3,5}}
[4,7,5,1,3,6,2]=>[7,4,5,6,3,1,2]=>{{1,7},{2,4,6},{3,5}}=>{{1,7},{2,4,6},{3,5}}
[4,7,5,1,6,2,3]=>[4,5,1,7,6,2,3]=>{{1,4,7},{2,5,6},{3}}=>{{1,4,7},{2,3,6},{5}}
[4,7,5,1,6,3,2]=>[7,4,1,5,3,2,6]=>{{1,7},{2,4,5},{3},{6}}=>{{1,7},{2},{3,4,6},{5}}
[4,7,5,2,1,3,6]=>[4,5,7,6,2,1,3]=>{{1,4,6},{2,5},{3,7}}=>{{1,5},{2,4,7},{3,6}}
[4,7,5,2,1,6,3]=>[4,2,7,5,3,1,6]=>{{1,4,5},{2},{3,7},{6}}=>{{1,5},{2},{3,4,7},{6}}
[4,7,5,2,3,1,6]=>[4,7,5,6,2,1,3]=>{{1,4,6},{2,7},{3,5}}=>{{1,6},{2,4,7},{3,5}}
[4,7,5,2,3,6,1]=>[7,4,5,6,2,1,3]=>{{1,7},{2,4,6},{3,5}}=>{{1,7},{2,4,6},{3,5}}
[4,7,5,2,6,1,3]=>[4,7,2,5,3,1,6]=>{{1,4,5},{2,7},{3},{6}}=>{{1,6},{2},{3,4,7},{5}}
[4,7,5,2,6,3,1]=>[7,4,2,5,3,1,6]=>{{1,7},{2,4,5},{3},{6}}=>{{1,7},{2},{3,4,6},{5}}
[4,7,5,3,1,2,6]=>[4,5,7,6,3,1,2]=>{{1,4,6},{2,5},{3,7}}=>{{1,5},{2,4,7},{3,6}}
[4,7,5,3,1,6,2]=>[4,1,7,5,3,2,6]=>{{1,4,5},{2},{3,7},{6}}=>{{1,5},{2},{3,4,7},{6}}
[4,7,5,3,2,1,6]=>[4,7,5,3,2,1,6]=>{{1,4},{2,7},{3,5},{6}}=>{{1,6},{2},{3,5},{4,7}}
[4,7,5,3,2,6,1]=>[7,4,5,3,2,1,6]=>{{1,7},{2,4},{3,5},{6}}=>{{1,7},{2},{3,5},{4,6}}
[4,7,5,3,6,1,2]=>[4,7,1,5,3,2,6]=>{{1,4,5},{2,7},{3},{6}}=>{{1,6},{2},{3,4,7},{5}}
[4,7,5,3,6,2,1]=>[7,4,3,5,2,1,6]=>{{1,7},{2,4,5},{3},{6}}=>{{1,7},{2},{3,4,6},{5}}
[4,7,5,6,1,2,3]=>[4,5,7,1,6,2,3]=>{{1,4},{2,5,6},{3,7}}=>{{1,5},{2,3,6},{4,7}}
[4,7,5,6,1,3,2]=>[7,4,5,1,3,2,6]=>{{1,7},{2,4},{3,5},{6}}=>{{1,7},{2},{3,5},{4,6}}
[4,7,5,6,2,1,3]=>[4,7,5,2,3,1,6]=>{{1,4},{2,7},{3,5},{6}}=>{{1,6},{2},{3,5},{4,7}}
[4,7,5,6,2,3,1]=>[7,4,5,2,3,1,6]=>{{1,7},{2,4},{3,5},{6}}=>{{1,7},{2},{3,5},{4,6}}
[4,7,5,6,3,1,2]=>[4,7,5,1,3,2,6]=>{{1,4},{2,7},{3,5},{6}}=>{{1,6},{2},{3,5},{4,7}}
[4,7,5,6,3,2,1]=>[7,4,3,2,5,1,6]=>{{1,7},{2,4},{3},{5},{6}}=>{{1,7},{2},{3},{4,6},{5}}
[4,7,6,1,2,3,5]=>[1,2,4,7,6,3,5]=>{{1},{2},{3,4,7},{5,6}}=>{{1,4,5},{2,3},{6},{7}}
[4,7,6,1,2,5,3]=>[7,1,4,6,5,2,3]=>{{1,7},{2},{3,4,6},{5}}=>{{1,7},{2,4,5},{3},{6}}
[4,7,6,1,3,2,5]=>[1,7,4,6,3,2,5]=>{{1},{2,7},{3,4,6},{5}}=>{{1,6},{2,4,5},{3},{7}}
[4,7,6,1,3,5,2]=>[7,1,4,6,3,2,5]=>{{1,7},{2},{3,4,6},{5}}=>{{1,7},{2,4,5},{3},{6}}
[4,7,6,1,5,2,3]=>[1,7,4,6,5,2,3]=>{{1},{2,7},{3,4,6},{5}}=>{{1,6},{2,4,5},{3},{7}}
[4,7,6,1,5,3,2]=>[7,6,4,5,3,1,2]=>{{1,7},{2,6},{3,4,5}}=>{{1,7},{2,6},{3,4,5}}
[4,7,6,2,1,3,5]=>[2,4,7,6,3,1,5]=>{{1,2,4,6},{3,7},{5}}=>{{1,5},{2,4,6,7},{3}}
[4,7,6,2,1,5,3]=>[4,2,7,6,5,1,3]=>{{1,4,6},{2},{3,7},{5}}=>{{1,5},{2,4,7},{3},{6}}
[4,7,6,2,3,1,5]=>[2,7,4,6,3,1,5]=>{{1,2,7},{3,4,6},{5}}=>{{1,6,7},{2,4,5},{3}}
[4,7,6,2,3,5,1]=>[7,2,4,6,3,1,5]=>{{1,7},{2},{3,4,6},{5}}=>{{1,7},{2,4,5},{3},{6}}
[4,7,6,2,5,1,3]=>[4,7,2,6,5,1,3]=>{{1,4,6},{2,7},{3},{5}}=>{{1,6},{2,4,7},{3},{5}}
[4,7,6,2,5,3,1]=>[7,6,4,5,2,1,3]=>{{1,7},{2,6},{3,4,5}}=>{{1,7},{2,6},{3,4,5}}
[4,7,6,3,1,2,5]=>[1,4,7,6,3,2,5]=>{{1},{2,4,6},{3,7},{5}}=>{{1,5},{2,4,6},{3},{7}}
[4,7,6,3,1,5,2]=>[4,3,7,6,5,1,2]=>{{1,4,6},{2,3,7},{5}}=>{{1,5,6},{2,4,7},{3}}
[4,7,6,3,2,1,5]=>[4,7,6,3,2,1,5]=>{{1,4},{2,7},{3,6},{5}}=>{{1,6},{2,5},{3},{4,7}}
[4,7,6,3,2,5,1]=>[7,4,6,3,2,1,5]=>{{1,7},{2,4},{3,6},{5}}=>{{1,7},{2,5},{3},{4,6}}
[4,7,6,3,5,1,2]=>[4,7,3,6,5,1,2]=>{{1,4,6},{2,7},{3},{5}}=>{{1,6},{2,4,7},{3},{5}}
[4,7,6,3,5,2,1]=>[7,4,3,6,2,1,5]=>{{1,7},{2,4,6},{3},{5}}=>{{1,7},{2,4,6},{3},{5}}
[4,7,6,5,1,2,3]=>[1,4,7,6,5,2,3]=>{{1},{2,4,6},{3,7},{5}}=>{{1,5},{2,4,6},{3},{7}}
[4,7,6,5,1,3,2]=>[7,4,6,5,3,1,2]=>{{1,7},{2,4,5},{3,6}}=>{{1,7},{2,5},{3,4,6}}
[4,7,6,5,2,1,3]=>[4,7,6,5,2,1,3]=>{{1,4,5},{2,7},{3,6}}=>{{1,6},{2,5},{3,4,7}}
[4,7,6,5,2,3,1]=>[7,4,6,5,2,1,3]=>{{1,7},{2,4,5},{3,6}}=>{{1,7},{2,5},{3,4,6}}
[4,7,6,5,3,1,2]=>[4,7,6,5,3,1,2]=>{{1,4,5},{2,7},{3,6}}=>{{1,6},{2,5},{3,4,7}}
[4,7,6,5,3,2,1]=>[7,6,4,3,2,1,5]=>{{1,7},{2,6},{3,4},{5}}=>{{1,7},{2,6},{3},{4,5}}
[5,1,2,3,4,6,7]=>[1,2,3,5,6,7,4]=>{{1},{2},{3},{4,5,6,7}}=>{{1,2,3,4},{5},{6},{7}}
[5,1,2,3,4,7,6]=>[5,1,2,3,4,7,6]=>{{1,5},{2},{3},{4},{6,7}}=>{{1,2},{3,7},{4},{5},{6}}
[5,1,2,3,6,4,7]=>[1,5,2,3,6,7,4]=>{{1},{2,5,6,7},{3},{4}}=>{{1,2,3,6},{4},{5},{7}}
[5,1,2,3,6,7,4]=>[5,1,2,3,6,7,4]=>{{1,5,6,7},{2},{3},{4}}=>{{1,2,3,7},{4},{5},{6}}
[5,1,2,3,7,4,6]=>[1,5,2,3,4,7,6]=>{{1},{2,5},{3},{4},{6,7}}=>{{1,2},{3,6},{4},{5},{7}}
[5,1,2,3,7,6,4]=>[7,5,1,2,3,6,4]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,7},{2},{3,6},{4},{5}}
[5,1,2,4,3,6,7]=>[1,2,5,4,6,7,3]=>{{1},{2},{3,5,6,7},{4}}=>{{1,2,3,5},{4},{6},{7}}
[5,1,2,4,3,7,6]=>[5,1,7,2,4,6,3]=>{{1,5},{2},{3,7},{4},{6}}=>{{1,5},{2},{3,7},{4},{6}}
[5,1,2,4,6,3,7]=>[1,5,2,4,6,7,3]=>{{1},{2,5,6,7},{3},{4}}=>{{1,2,3,6},{4},{5},{7}}
[5,1,2,4,6,7,3]=>[5,1,2,4,6,7,3]=>{{1,5,6,7},{2},{3},{4}}=>{{1,2,3,7},{4},{5},{6}}
[5,1,2,4,7,3,6]=>[5,7,1,2,4,6,3]=>{{1,5},{2,7},{3},{4},{6}}=>{{1,6},{2},{3,7},{4},{5}}
[5,1,2,4,7,6,3]=>[5,4,1,2,3,7,6]=>{{1,5},{2,4},{3},{6,7}}=>{{1,2},{3,7},{4,6},{5}}
[5,1,2,6,3,4,7]=>[1,2,5,3,6,7,4]=>{{1},{2},{3,5,6,7},{4}}=>{{1,2,3,5},{4},{6},{7}}
[5,1,2,6,3,7,4]=>[5,1,6,2,3,7,4]=>{{1,5},{2},{3,6,7},{4}}=>{{1,2,5},{3,7},{4},{6}}
[5,1,2,6,4,3,7]=>[1,5,4,2,6,7,3]=>{{1},{2,5,6,7},{3,4}}=>{{1,2,3,6},{4,5},{7}}
[5,1,2,6,4,7,3]=>[5,1,4,2,6,7,3]=>{{1,5,6,7},{2},{3,4}}=>{{1,2,3,7},{4,5},{6}}
[5,1,2,6,7,3,4]=>[5,6,1,2,3,7,4]=>{{1,5},{2,6,7},{3},{4}}=>{{1,2,6},{3,7},{4},{5}}
[5,1,2,6,7,4,3]=>[5,4,1,2,6,7,3]=>{{1,5,6,7},{2,4},{3}}=>{{1,2,3,7},{4,6},{5}}
[5,1,2,7,3,4,6]=>[1,2,5,3,4,7,6]=>{{1},{2},{3,5},{4},{6,7}}=>{{1,2},{3,5},{4},{6},{7}}
[5,1,2,7,3,6,4]=>[7,1,5,2,3,6,4]=>{{1,7},{2},{3,5},{4},{6}}=>{{1,7},{2},{3,5},{4},{6}}
[5,1,2,7,4,3,6]=>[1,5,4,2,3,7,6]=>{{1},{2,5},{3,4},{6,7}}=>{{1,2},{3,6},{4,5},{7}}
[5,1,2,7,4,6,3]=>[5,1,4,2,3,7,6]=>{{1,5},{2},{3,4},{6,7}}=>{{1,2},{3,7},{4,5},{6}}
[5,1,2,7,6,3,4]=>[1,7,5,2,3,6,4]=>{{1},{2,7},{3,5},{4},{6}}=>{{1,6},{2},{3,5},{4},{7}}
[5,1,2,7,6,4,3]=>[7,5,4,1,2,6,3]=>{{1,7},{2,5},{3,4},{6}}=>{{1,7},{2},{3,6},{4,5}}
[5,1,3,2,4,6,7]=>[1,3,5,6,4,7,2]=>{{1},{2,3,5},{4,6,7}}=>{{1,2,4},{3,5,6},{7}}
[5,1,3,2,4,7,6]=>[5,1,3,7,4,6,2]=>{{1,5},{2},{3},{4,7},{6}}=>{{1,4},{2},{3,7},{5},{6}}
[5,1,3,2,6,4,7]=>[1,5,3,6,4,7,2]=>{{1},{2,5},{3},{4,6,7}}=>{{1,2,4},{3,6},{5},{7}}
[5,1,3,2,6,7,4]=>[5,1,3,6,4,7,2]=>{{1,5},{2},{3},{4,6,7}}=>{{1,2,4},{3,7},{5},{6}}
[5,1,3,2,7,4,6]=>[1,5,3,7,4,6,2]=>{{1},{2,5},{3},{4,7},{6}}=>{{1,4},{2},{3,6},{5},{7}}
[5,1,3,2,7,6,4]=>[5,3,1,7,2,6,4]=>{{1,5},{2,3},{4,7},{6}}=>{{1,4},{2},{3,7},{5,6}}
[5,1,3,4,2,6,7]=>[1,3,5,4,6,7,2]=>{{1},{2,3,5,6,7},{4}}=>{{1,2,3,5,6},{4},{7}}
[5,1,3,4,2,7,6]=>[5,1,7,3,4,6,2]=>{{1,5},{2},{3,7},{4},{6}}=>{{1,5},{2},{3,7},{4},{6}}
[5,1,3,4,6,2,7]=>[1,5,3,4,6,7,2]=>{{1},{2,5,6,7},{3},{4}}=>{{1,2,3,6},{4},{5},{7}}
[5,1,3,4,6,7,2]=>[5,1,3,4,6,7,2]=>{{1,5,6,7},{2},{3},{4}}=>{{1,2,3,7},{4},{5},{6}}
[5,1,3,4,7,2,6]=>[5,7,1,3,4,6,2]=>{{1,5},{2,7},{3},{4},{6}}=>{{1,6},{2},{3,7},{4},{5}}
[5,1,3,4,7,6,2]=>[5,3,1,2,4,7,6]=>{{1,5},{2,3},{4},{6,7}}=>{{1,2},{3,7},{4},{5,6}}
[5,1,3,6,2,4,7]=>[1,5,6,3,4,7,2]=>{{1},{2,5},{3,6,7},{4}}=>{{1,2,5},{3,6},{4},{7}}
[5,1,3,6,2,7,4]=>[5,1,6,3,4,7,2]=>{{1,5},{2},{3,6,7},{4}}=>{{1,2,5},{3,7},{4},{6}}
[5,1,3,6,4,2,7]=>[1,5,3,2,6,7,4]=>{{1},{2,5,6,7},{3},{4}}=>{{1,2,3,6},{4},{5},{7}}
[5,1,3,6,4,7,2]=>[5,1,3,2,6,7,4]=>{{1,5,6,7},{2},{3},{4}}=>{{1,2,3,7},{4},{5},{6}}
[5,1,3,6,7,2,4]=>[5,6,1,3,4,7,2]=>{{1,5},{2,6,7},{3},{4}}=>{{1,2,6},{3,7},{4},{5}}
[5,1,3,6,7,4,2]=>[5,3,1,2,6,7,4]=>{{1,5,6,7},{2,3},{4}}=>{{1,2,3,7},{4},{5,6}}
[5,1,3,7,2,4,6]=>[1,5,7,3,4,6,2]=>{{1},{2,5},{3,7},{4},{6}}=>{{1,5},{2},{3,6},{4},{7}}
[5,1,3,7,2,6,4]=>[5,3,7,1,2,6,4]=>{{1,5},{2,3,7},{4},{6}}=>{{1,5,6},{2},{3,7},{4}}
[5,1,3,7,4,2,6]=>[1,5,3,2,4,7,6]=>{{1},{2,5},{3},{4},{6,7}}=>{{1,2},{3,6},{4},{5},{7}}
[5,1,3,7,4,6,2]=>[5,1,3,2,4,7,6]=>{{1,5},{2},{3},{4},{6,7}}=>{{1,2},{3,7},{4},{5},{6}}
[5,1,3,7,6,2,4]=>[5,7,3,1,2,6,4]=>{{1,5},{2,7},{3},{4},{6}}=>{{1,6},{2},{3,7},{4},{5}}
[5,1,3,7,6,4,2]=>[7,5,3,1,2,6,4]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,7},{2},{3,6},{4},{5}}
[5,1,4,2,3,6,7]=>[1,2,5,6,4,7,3]=>{{1},{2},{3,5},{4,6,7}}=>{{1,2,4},{3,5},{6},{7}}
[5,1,4,2,3,7,6]=>[5,1,2,7,4,6,3]=>{{1,5},{2},{3},{4,7},{6}}=>{{1,4},{2},{3,7},{5},{6}}
[5,1,4,2,6,3,7]=>[1,5,2,6,4,7,3]=>{{1},{2,5},{3},{4,6,7}}=>{{1,2,4},{3,6},{5},{7}}
[5,1,4,2,6,7,3]=>[5,1,2,6,4,7,3]=>{{1,5},{2},{3},{4,6,7}}=>{{1,2,4},{3,7},{5},{6}}
[5,1,4,2,7,3,6]=>[1,5,2,7,4,6,3]=>{{1},{2,5},{3},{4,7},{6}}=>{{1,4},{2},{3,6},{5},{7}}
[5,1,4,2,7,6,3]=>[5,4,1,7,2,6,3]=>{{1,5},{2,4,7},{3},{6}}=>{{1,4,6},{2},{3,7},{5}}
[5,1,4,3,2,6,7]=>[1,5,6,4,3,7,2]=>{{1},{2,5},{3,6,7},{4}}=>{{1,2,5},{3,6},{4},{7}}
[5,1,4,3,2,7,6]=>[5,1,7,4,3,6,2]=>{{1,5},{2},{3,7},{4},{6}}=>{{1,5},{2},{3,7},{4},{6}}
[5,1,4,3,6,2,7]=>[1,5,4,6,3,7,2]=>{{1},{2,5},{3,4,6,7}}=>{{1,2,4,5},{3,6},{7}}
[5,1,4,3,6,7,2]=>[5,1,4,6,3,7,2]=>{{1,5},{2},{3,4,6,7}}=>{{1,2,4,5},{3,7},{6}}
[5,1,4,3,7,2,6]=>[5,7,1,4,3,6,2]=>{{1,5},{2,7},{3},{4},{6}}=>{{1,6},{2},{3,7},{4},{5}}
[5,1,4,3,7,6,2]=>[5,4,1,7,3,6,2]=>{{1,5},{2,4,7},{3},{6}}=>{{1,4,6},{2},{3,7},{5}}
[5,1,4,6,2,3,7]=>[1,5,6,2,4,7,3]=>{{1},{2,5},{3,6,7},{4}}=>{{1,2,5},{3,6},{4},{7}}
[5,1,4,6,2,7,3]=>[5,1,6,2,4,7,3]=>{{1,5},{2},{3,6,7},{4}}=>{{1,2,5},{3,7},{4},{6}}
[5,1,4,6,3,2,7]=>[1,5,4,3,6,7,2]=>{{1},{2,5,6,7},{3,4}}=>{{1,2,3,6},{4,5},{7}}
[5,1,4,6,3,7,2]=>[5,1,4,3,6,7,2]=>{{1,5,6,7},{2},{3,4}}=>{{1,2,3,7},{4,5},{6}}
[5,1,4,6,7,2,3]=>[5,6,1,2,4,7,3]=>{{1,5},{2,6,7},{3},{4}}=>{{1,2,6},{3,7},{4},{5}}
[5,1,4,6,7,3,2]=>[5,4,1,3,6,7,2]=>{{1,5,6,7},{2,4},{3}}=>{{1,2,3,7},{4,6},{5}}
[5,1,4,7,2,3,6]=>[1,5,7,2,4,6,3]=>{{1},{2,5},{3,7},{4},{6}}=>{{1,5},{2},{3,6},{4},{7}}
[5,1,4,7,2,6,3]=>[5,4,7,1,2,6,3]=>{{1,5},{2,4},{3,7},{6}}=>{{1,5},{2},{3,7},{4,6}}
[5,1,4,7,3,2,6]=>[5,7,4,1,3,6,2]=>{{1,5},{2,7},{3,4},{6}}=>{{1,6},{2},{3,7},{4,5}}
[5,1,4,7,3,6,2]=>[5,4,7,1,3,6,2]=>{{1,5},{2,4},{3,7},{6}}=>{{1,5},{2},{3,7},{4,6}}
[5,1,4,7,6,2,3]=>[5,7,4,1,2,6,3]=>{{1,5},{2,7},{3,4},{6}}=>{{1,6},{2},{3,7},{4,5}}
[5,1,4,7,6,3,2]=>[5,4,3,1,2,7,6]=>{{1,5},{2,4},{3},{6,7}}=>{{1,2},{3,7},{4,6},{5}}
[5,1,6,2,3,4,7]=>[1,2,5,6,3,7,4]=>{{1},{2},{3,5},{4,6,7}}=>{{1,2,4},{3,5},{6},{7}}
[5,1,6,2,3,7,4]=>[5,1,2,6,3,7,4]=>{{1,5},{2},{3},{4,6,7}}=>{{1,2,4},{3,7},{5},{6}}
[5,1,6,2,4,3,7]=>[1,5,4,6,2,7,3]=>{{1},{2,5},{3,4,6,7}}=>{{1,2,4,5},{3,6},{7}}
[5,1,6,2,4,7,3]=>[5,1,4,6,2,7,3]=>{{1,5},{2},{3,4,6,7}}=>{{1,2,4,5},{3,7},{6}}
[5,1,6,2,7,3,4]=>[1,5,2,6,3,7,4]=>{{1},{2,5},{3},{4,6,7}}=>{{1,2,4},{3,6},{5},{7}}
[5,1,6,2,7,4,3]=>[5,4,1,6,2,7,3]=>{{1,5},{2,4,6,7},{3}}=>{{1,2,4,6},{3,7},{5}}
[5,1,6,3,2,4,7]=>[1,5,6,3,2,7,4]=>{{1},{2,5},{3,6,7},{4}}=>{{1,2,5},{3,6},{4},{7}}
[5,1,6,3,2,7,4]=>[5,1,6,3,2,7,4]=>{{1,5},{2},{3,6,7},{4}}=>{{1,2,5},{3,7},{4},{6}}
[5,1,6,3,4,2,7]=>[1,5,3,6,2,7,4]=>{{1},{2,5},{3},{4,6,7}}=>{{1,2,4},{3,6},{5},{7}}
[5,1,6,3,4,7,2]=>[5,1,3,6,2,7,4]=>{{1,5},{2},{3},{4,6,7}}=>{{1,2,4},{3,7},{5},{6}}
[5,1,6,3,7,2,4]=>[5,6,1,3,2,7,4]=>{{1,5},{2,6,7},{3},{4}}=>{{1,2,6},{3,7},{4},{5}}
[5,1,6,3,7,4,2]=>[5,3,1,6,2,7,4]=>{{1,5},{2,3},{4,6,7}}=>{{1,2,4},{3,7},{5,6}}
[5,1,6,4,2,3,7]=>[1,5,6,4,2,7,3]=>{{1},{2,5},{3,6,7},{4}}=>{{1,2,5},{3,6},{4},{7}}
[5,1,6,4,2,7,3]=>[5,1,6,4,2,7,3]=>{{1,5},{2},{3,6,7},{4}}=>{{1,2,5},{3,7},{4},{6}}
[5,1,6,4,3,2,7]=>[5,6,4,3,1,7,2]=>{{1,5},{2,6,7},{3,4}}=>{{1,2,6},{3,7},{4,5}}
[5,1,6,4,3,7,2]=>[5,4,6,3,1,7,2]=>{{1,5},{2,4},{3,6,7}}=>{{1,2,5},{3,7},{4,6}}
[5,1,6,4,7,2,3]=>[5,6,1,4,2,7,3]=>{{1,5},{2,6,7},{3},{4}}=>{{1,2,6},{3,7},{4},{5}}
[5,1,6,4,7,3,2]=>[5,4,3,6,1,7,2]=>{{1,5},{2,4,6,7},{3}}=>{{1,2,4,6},{3,7},{5}}
[5,1,6,7,2,3,4]=>[1,5,6,2,3,7,4]=>{{1},{2,5},{3,6,7},{4}}=>{{1,2,5},{3,6},{4},{7}}
[5,1,6,7,2,4,3]=>[5,4,6,1,2,7,3]=>{{1,5},{2,4},{3,6,7}}=>{{1,2,5},{3,7},{4,6}}
[5,1,6,7,3,2,4]=>[5,6,3,1,2,7,4]=>{{1,5},{2,6,7},{3},{4}}=>{{1,2,6},{3,7},{4},{5}}
[5,1,6,7,3,4,2]=>[5,3,6,1,2,7,4]=>{{1,5},{2,3,6,7},{4}}=>{{1,2,5,6},{3,7},{4}}
[5,1,6,7,4,2,3]=>[5,6,4,1,2,7,3]=>{{1,5},{2,6,7},{3,4}}=>{{1,2,6},{3,7},{4,5}}
[5,1,6,7,4,3,2]=>[5,4,3,1,6,7,2]=>{{1,5,6,7},{2,4},{3}}=>{{1,2,3,7},{4,6},{5}}
[5,1,7,2,3,4,6]=>[1,2,3,5,4,7,6]=>{{1},{2},{3},{4,5},{6,7}}=>{{1,2},{3,4},{5},{6},{7}}
[5,1,7,2,3,6,4]=>[7,1,2,5,3,6,4]=>{{1,7},{2},{3},{4,5},{6}}=>{{1,7},{2},{3,4},{5},{6}}
[5,1,7,2,4,3,6]=>[1,5,2,4,3,7,6]=>{{1},{2,5},{3},{4},{6,7}}=>{{1,2},{3,6},{4},{5},{7}}
[5,1,7,2,4,6,3]=>[5,1,2,4,3,7,6]=>{{1,5},{2},{3},{4},{6,7}}=>{{1,2},{3,7},{4},{5},{6}}
[5,1,7,2,6,3,4]=>[1,7,2,5,3,6,4]=>{{1},{2,7},{3},{4,5},{6}}=>{{1,6},{2},{3,4},{5},{7}}
[5,1,7,2,6,4,3]=>[7,5,1,4,2,6,3]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,7},{2},{3,6},{4},{5}}
[5,1,7,3,2,4,6]=>[1,3,5,4,2,7,6]=>{{1},{2,3,5},{4},{6,7}}=>{{1,2},{3,5,6},{4},{7}}
[5,1,7,3,2,6,4]=>[5,1,7,3,2,6,4]=>{{1,5},{2},{3,7},{4},{6}}=>{{1,5},{2},{3,7},{4},{6}}
[5,1,7,3,4,2,6]=>[1,5,3,4,2,7,6]=>{{1},{2,5},{3},{4},{6,7}}=>{{1,2},{3,6},{4},{5},{7}}
[5,1,7,3,4,6,2]=>[5,1,3,4,2,7,6]=>{{1,5},{2},{3},{4},{6,7}}=>{{1,2},{3,7},{4},{5},{6}}
[5,1,7,3,6,2,4]=>[5,7,1,3,2,6,4]=>{{1,5},{2,7},{3},{4},{6}}=>{{1,6},{2},{3,7},{4},{5}}
[5,1,7,3,6,4,2]=>[7,5,1,3,2,6,4]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,7},{2},{3,6},{4},{5}}
[5,1,7,4,2,3,6]=>[1,2,5,4,3,7,6]=>{{1},{2},{3,5},{4},{6,7}}=>{{1,2},{3,5},{4},{6},{7}}
[5,1,7,4,2,6,3]=>[5,1,7,4,2,6,3]=>{{1,5},{2},{3,7},{4},{6}}=>{{1,5},{2},{3,7},{4},{6}}
[5,1,7,4,3,2,6]=>[1,5,4,3,2,7,6]=>{{1},{2,5},{3,4},{6,7}}=>{{1,2},{3,6},{4,5},{7}}
[5,1,7,4,3,6,2]=>[5,1,4,3,2,7,6]=>{{1,5},{2},{3,4},{6,7}}=>{{1,2},{3,7},{4,5},{6}}
[5,1,7,4,6,2,3]=>[5,7,1,4,2,6,3]=>{{1,5},{2,7},{3},{4},{6}}=>{{1,6},{2},{3,7},{4},{5}}
[5,1,7,4,6,3,2]=>[5,4,1,3,2,7,6]=>{{1,5},{2,4},{3},{6,7}}=>{{1,2},{3,7},{4,6},{5}}
[5,1,7,6,2,3,4]=>[1,2,7,5,3,6,4]=>{{1},{2},{3,7},{4,5},{6}}=>{{1,5},{2},{3,4},{6},{7}}
[5,1,7,6,2,4,3]=>[7,1,5,4,2,6,3]=>{{1,7},{2},{3,5},{4},{6}}=>{{1,7},{2},{3,5},{4},{6}}
[5,1,7,6,3,2,4]=>[1,7,5,3,2,6,4]=>{{1},{2,7},{3,5},{4},{6}}=>{{1,6},{2},{3,5},{4},{7}}
[5,1,7,6,3,4,2]=>[7,1,5,3,2,6,4]=>{{1,7},{2},{3,5},{4},{6}}=>{{1,7},{2},{3,5},{4},{6}}
[5,1,7,6,4,2,3]=>[1,7,5,4,2,6,3]=>{{1},{2,7},{3,5},{4},{6}}=>{{1,6},{2},{3,5},{4},{7}}
[5,1,7,6,4,3,2]=>[7,5,4,3,1,6,2]=>{{1,7},{2,5},{3,4},{6}}=>{{1,7},{2},{3,6},{4,5}}
[5,2,1,3,4,6,7]=>[2,3,5,6,7,4,1]=>{{1,2,3,5,7},{4,6}}=>{{1,3,5,6,7},{2,4}}
[5,2,1,3,4,7,6]=>[5,2,3,4,7,6,1]=>{{1,5,7},{2},{3},{4},{6}}=>{{1,3,7},{2},{4},{5},{6}}
[5,2,1,3,6,4,7]=>[2,5,3,6,7,4,1]=>{{1,2,5,7},{3},{4,6}}=>{{1,3,6,7},{2,4},{5}}
[5,2,1,3,6,7,4]=>[5,2,3,6,7,4,1]=>{{1,5,7},{2},{3},{4,6}}=>{{1,3,7},{2,4},{5},{6}}
[5,2,1,3,7,4,6]=>[2,5,3,4,7,6,1]=>{{1,2,5,7},{3},{4},{6}}=>{{1,3,6,7},{2},{4},{5}}
[5,2,1,3,7,6,4]=>[5,2,1,3,7,6,4]=>{{1,5,7},{2},{3},{4},{6}}=>{{1,3,7},{2},{4},{5},{6}}
[5,2,1,4,3,6,7]=>[2,5,6,1,7,4,3]=>{{1,2,5,7},{3,6},{4}}=>{{1,3,6,7},{2,5},{4}}
[5,2,1,4,3,7,6]=>[2,1,5,4,7,6,3]=>{{1,2},{3,5,7},{4},{6}}=>{{1,3,5},{2},{4},{6,7}}
[5,2,1,4,6,3,7]=>[2,5,1,6,7,4,3]=>{{1,2,5,7},{3},{4,6}}=>{{1,3,6,7},{2,4},{5}}
[5,2,1,4,6,7,3]=>[2,1,5,6,7,4,3]=>{{1,2},{3,5,7},{4,6}}=>{{1,3,5},{2,4},{6,7}}
[5,2,1,4,7,3,6]=>[2,5,1,4,7,6,3]=>{{1,2,5,7},{3},{4},{6}}=>{{1,3,6,7},{2},{4},{5}}
[5,2,1,4,7,6,3]=>[5,2,1,4,7,6,3]=>{{1,5,7},{2},{3},{4},{6}}=>{{1,3,7},{2},{4},{5},{6}}
[5,2,1,6,3,4,7]=>[2,5,6,3,7,4,1]=>{{1,2,5,7},{3,6},{4}}=>{{1,3,6,7},{2,5},{4}}
[5,2,1,6,3,7,4]=>[5,2,6,3,7,4,1]=>{{1,5,7},{2},{3,6},{4}}=>{{1,3,7},{2,5},{4},{6}}
[5,2,1,6,4,3,7]=>[5,6,2,1,7,4,3]=>{{1,5,7},{2,6},{3},{4}}=>{{1,3,7},{2,6},{4},{5}}
[5,2,1,6,4,7,3]=>[5,2,6,1,7,4,3]=>{{1,5,7},{2},{3,6},{4}}=>{{1,3,7},{2,5},{4},{6}}
[5,2,1,6,7,3,4]=>[5,6,2,3,7,4,1]=>{{1,5,7},{2,6},{3},{4}}=>{{1,3,7},{2,6},{4},{5}}
[5,2,1,6,7,4,3]=>[5,2,1,6,7,4,3]=>{{1,5,7},{2},{3},{4,6}}=>{{1,3,7},{2,4},{5},{6}}
[5,2,1,7,3,4,6]=>[2,3,5,4,7,6,1]=>{{1,2,3,5,7},{4},{6}}=>{{1,3,5,6,7},{2},{4}}
[5,2,1,7,3,6,4]=>[5,2,3,1,7,6,4]=>{{1,5,7},{2},{3},{4},{6}}=>{{1,3,7},{2},{4},{5},{6}}
[5,2,1,7,4,3,6]=>[2,5,4,1,7,6,3]=>{{1,2,5,7},{3,4},{6}}=>{{1,3,6,7},{2},{4,5}}
[5,2,1,7,4,6,3]=>[5,2,4,1,7,6,3]=>{{1,5,7},{2},{3,4},{6}}=>{{1,3,7},{2},{4,5},{6}}
[5,2,1,7,6,3,4]=>[2,5,3,1,7,6,4]=>{{1,2,5,7},{3},{4},{6}}=>{{1,3,6,7},{2},{4},{5}}
[5,2,1,7,6,4,3]=>[7,5,2,1,6,4,3]=>{{1,7},{2,5,6},{3},{4}}=>{{1,7},{2,3,6},{4},{5}}
[5,2,3,1,4,6,7]=>[2,3,5,6,4,7,1]=>{{1,2,3,5},{4,6,7}}=>{{1,2,4},{3,5,6,7}}
[5,2,3,1,4,7,6]=>[5,2,3,7,4,6,1]=>{{1,5},{2},{3},{4,7},{6}}=>{{1,4},{2},{3,7},{5},{6}}
[5,2,3,1,6,4,7]=>[2,5,3,6,4,7,1]=>{{1,2,5},{3},{4,6,7}}=>{{1,2,4},{3,6,7},{5}}
[5,2,3,1,6,7,4]=>[5,2,3,6,4,7,1]=>{{1,5},{2},{3},{4,6,7}}=>{{1,2,4},{3,7},{5},{6}}
[5,2,3,1,7,4,6]=>[2,5,3,7,4,6,1]=>{{1,2,5},{3},{4,7},{6}}=>{{1,4},{2},{3,6,7},{5}}
[5,2,3,1,7,6,4]=>[5,2,1,7,3,6,4]=>{{1,5},{2},{3},{4,7},{6}}=>{{1,4},{2},{3,7},{5},{6}}
[5,2,3,4,1,6,7]=>[2,3,5,4,6,7,1]=>{{1,2,3,5,6,7},{4}}=>{{1,2,3,5,6,7},{4}}
[5,2,3,4,1,7,6]=>[5,2,7,3,4,6,1]=>{{1,5},{2},{3,7},{4},{6}}=>{{1,5},{2},{3,7},{4},{6}}
[5,2,3,4,6,1,7]=>[2,5,3,4,6,7,1]=>{{1,2,5,6,7},{3},{4}}=>{{1,2,3,6,7},{4},{5}}
[5,2,3,4,6,7,1]=>[5,2,3,4,6,7,1]=>{{1,5,6,7},{2},{3},{4}}=>{{1,2,3,7},{4},{5},{6}}
[5,2,3,4,7,1,6]=>[5,7,2,3,4,6,1]=>{{1,5},{2,7},{3},{4},{6}}=>{{1,6},{2},{3,7},{4},{5}}
[5,2,3,4,7,6,1]=>[5,2,1,3,4,7,6]=>{{1,5},{2},{3},{4},{6,7}}=>{{1,2},{3,7},{4},{5},{6}}
[5,2,3,6,1,4,7]=>[2,5,6,3,4,7,1]=>{{1,2,5},{3,6,7},{4}}=>{{1,2,5},{3,6,7},{4}}
[5,2,3,6,1,7,4]=>[5,2,6,3,4,7,1]=>{{1,5},{2},{3,6,7},{4}}=>{{1,2,5},{3,7},{4},{6}}
[5,2,3,6,4,1,7]=>[2,5,3,1,6,7,4]=>{{1,2,5,6,7},{3},{4}}=>{{1,2,3,6,7},{4},{5}}
[5,2,3,6,4,7,1]=>[5,2,3,1,6,7,4]=>{{1,5,6,7},{2},{3},{4}}=>{{1,2,3,7},{4},{5},{6}}
[5,2,3,6,7,1,4]=>[5,6,2,3,4,7,1]=>{{1,5},{2,6,7},{3},{4}}=>{{1,2,6},{3,7},{4},{5}}
[5,2,3,6,7,4,1]=>[5,2,1,3,6,7,4]=>{{1,5,6,7},{2},{3},{4}}=>{{1,2,3,7},{4},{5},{6}}
[5,2,3,7,1,4,6]=>[2,5,7,3,4,6,1]=>{{1,2,5},{3,7},{4},{6}}=>{{1,5},{2},{3,6,7},{4}}
[5,2,3,7,1,6,4]=>[5,2,7,1,3,6,4]=>{{1,5},{2},{3,7},{4},{6}}=>{{1,5},{2},{3,7},{4},{6}}
[5,2,3,7,4,1,6]=>[2,5,3,1,4,7,6]=>{{1,2,5},{3},{4},{6,7}}=>{{1,2},{3,6,7},{4},{5}}
[5,2,3,7,4,6,1]=>[5,2,3,1,4,7,6]=>{{1,5},{2},{3},{4},{6,7}}=>{{1,2},{3,7},{4},{5},{6}}
[5,2,3,7,6,1,4]=>[5,7,2,1,3,6,4]=>{{1,5},{2,7},{3},{4},{6}}=>{{1,6},{2},{3,7},{4},{5}}
[5,2,3,7,6,4,1]=>[7,5,2,1,3,6,4]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,7},{2},{3,6},{4},{5}}
[5,2,4,1,3,6,7]=>[2,5,6,7,1,4,3]=>{{1,2,5},{3,6},{4,7}}=>{{1,4},{2,5},{3,6,7}}
[5,2,4,1,3,7,6]=>[2,1,5,7,4,6,3]=>{{1,2},{3,5},{4,7},{6}}=>{{1,4},{2},{3,5},{6,7}}
[5,2,4,1,6,3,7]=>[2,5,1,6,4,7,3]=>{{1,2,5},{3},{4,6,7}}=>{{1,2,4},{3,6,7},{5}}
[5,2,4,1,6,7,3]=>[2,1,5,6,4,7,3]=>{{1,2},{3,5},{4,6,7}}=>{{1,2,4},{3,5},{6,7}}
[5,2,4,1,7,3,6]=>[2,5,1,7,4,6,3]=>{{1,2,5},{3},{4,7},{6}}=>{{1,4},{2},{3,6,7},{5}}
[5,2,4,1,7,6,3]=>[5,2,1,7,4,6,3]=>{{1,5},{2},{3},{4,7},{6}}=>{{1,4},{2},{3,7},{5},{6}}
[5,2,4,3,1,6,7]=>[2,5,6,4,3,7,1]=>{{1,2,5},{3,6,7},{4}}=>{{1,2,5},{3,6,7},{4}}
[5,2,4,3,1,7,6]=>[5,2,7,4,3,6,1]=>{{1,5},{2},{3,7},{4},{6}}=>{{1,5},{2},{3,7},{4},{6}}
[5,2,4,3,6,1,7]=>[2,5,4,6,3,7,1]=>{{1,2,5},{3,4,6,7}}=>{{1,2,4,5},{3,6,7}}
[5,2,4,3,6,7,1]=>[5,2,4,6,3,7,1]=>{{1,5},{2},{3,4,6,7}}=>{{1,2,4,5},{3,7},{6}}
[5,2,4,3,7,1,6]=>[5,7,2,4,3,6,1]=>{{1,5},{2,7},{3},{4},{6}}=>{{1,6},{2},{3,7},{4},{5}}
[5,2,4,3,7,6,1]=>[5,4,2,7,3,6,1]=>{{1,5},{2,4,7},{3},{6}}=>{{1,4,6},{2},{3,7},{5}}
[5,2,4,6,1,3,7]=>[2,5,6,1,4,7,3]=>{{1,2,5},{3,6,7},{4}}=>{{1,2,5},{3,6,7},{4}}
[5,2,4,6,1,7,3]=>[2,1,5,4,6,7,3]=>{{1,2},{3,5,6,7},{4}}=>{{1,2,3,5},{4},{6,7}}
[5,2,4,6,3,1,7]=>[2,5,4,3,6,7,1]=>{{1,2,5,6,7},{3,4}}=>{{1,2,3,6,7},{4,5}}
[5,2,4,6,3,7,1]=>[5,2,4,3,6,7,1]=>{{1,5,6,7},{2},{3,4}}=>{{1,2,3,7},{4,5},{6}}
[5,2,4,6,7,1,3]=>[2,5,1,4,6,7,3]=>{{1,2,5,6,7},{3},{4}}=>{{1,2,3,6,7},{4},{5}}
[5,2,4,6,7,3,1]=>[5,4,2,3,6,7,1]=>{{1,5,6,7},{2,4},{3}}=>{{1,2,3,7},{4,6},{5}}
[5,2,4,7,1,3,6]=>[2,5,7,1,4,6,3]=>{{1,2,5},{3,7},{4},{6}}=>{{1,5},{2},{3,6,7},{4}}
[5,2,4,7,1,6,3]=>[5,2,7,1,4,6,3]=>{{1,5},{2},{3,7},{4},{6}}=>{{1,5},{2},{3,7},{4},{6}}
[5,2,4,7,3,1,6]=>[5,7,4,2,3,6,1]=>{{1,5},{2,7},{3,4},{6}}=>{{1,6},{2},{3,7},{4,5}}
[5,2,4,7,3,6,1]=>[5,4,7,2,3,6,1]=>{{1,5},{2,4},{3,7},{6}}=>{{1,5},{2},{3,7},{4,6}}
[5,2,4,7,6,1,3]=>[5,7,2,1,4,6,3]=>{{1,5},{2,7},{3},{4},{6}}=>{{1,6},{2},{3,7},{4},{5}}
[5,2,4,7,6,3,1]=>[5,4,2,1,3,7,6]=>{{1,5},{2,4},{3},{6,7}}=>{{1,2},{3,7},{4,6},{5}}
[5,2,6,1,3,4,7]=>[2,5,6,7,3,4,1]=>{{1,2,5},{3,6},{4,7}}=>{{1,4},{2,5},{3,6,7}}
[5,2,6,1,3,7,4]=>[5,2,6,7,3,4,1]=>{{1,5},{2},{3,6},{4,7}}=>{{1,4},{2,5},{3,7},{6}}
[5,2,6,1,4,3,7]=>[5,6,2,7,1,4,3]=>{{1,5},{2,6},{3},{4,7}}=>{{1,4},{2,6},{3,7},{5}}
[5,2,6,1,4,7,3]=>[5,2,6,7,1,4,3]=>{{1,5},{2},{3,6},{4,7}}=>{{1,4},{2,5},{3,7},{6}}
[5,2,6,1,7,3,4]=>[5,6,2,7,3,4,1]=>{{1,5},{2,6},{3},{4,7}}=>{{1,4},{2,6},{3,7},{5}}
[5,2,6,1,7,4,3]=>[5,2,1,6,4,7,3]=>{{1,5},{2},{3},{4,6,7}}=>{{1,2,4},{3,7},{5},{6}}
[5,2,6,3,1,4,7]=>[2,5,6,3,1,7,4]=>{{1,2,5},{3,6,7},{4}}=>{{1,2,5},{3,6,7},{4}}
[5,2,6,3,1,7,4]=>[5,2,6,3,1,7,4]=>{{1,5},{2},{3,6,7},{4}}=>{{1,2,5},{3,7},{4},{6}}
[5,2,6,3,4,1,7]=>[2,5,3,6,1,7,4]=>{{1,2,5},{3},{4,6,7}}=>{{1,2,4},{3,6,7},{5}}
[5,2,6,3,4,7,1]=>[5,2,3,6,1,7,4]=>{{1,5},{2},{3},{4,6,7}}=>{{1,2,4},{3,7},{5},{6}}
[5,2,6,3,7,1,4]=>[5,6,2,3,1,7,4]=>{{1,5},{2,6,7},{3},{4}}=>{{1,2,6},{3,7},{4},{5}}
[5,2,6,3,7,4,1]=>[5,2,1,6,3,7,4]=>{{1,5},{2},{3},{4,6,7}}=>{{1,2,4},{3,7},{5},{6}}
[5,2,6,4,1,3,7]=>[5,6,7,2,1,4,3]=>{{1,5},{2,6},{3,7},{4}}=>{{1,5},{2,6},{3,7},{4}}
[5,2,6,4,1,7,3]=>[5,2,6,4,1,7,3]=>{{1,5},{2},{3,6,7},{4}}=>{{1,2,5},{3,7},{4},{6}}
[5,2,6,4,3,1,7]=>[5,6,4,2,1,7,3]=>{{1,5},{2,6,7},{3,4}}=>{{1,2,6},{3,7},{4,5}}
[5,2,6,4,3,7,1]=>[5,4,6,2,1,7,3]=>{{1,5},{2,4},{3,6,7}}=>{{1,2,5},{3,7},{4,6}}
[5,2,6,4,7,1,3]=>[5,6,2,4,1,7,3]=>{{1,5},{2,6,7},{3},{4}}=>{{1,2,6},{3,7},{4},{5}}
[5,2,6,4,7,3,1]=>[5,4,2,6,1,7,3]=>{{1,5},{2,4,6,7},{3}}=>{{1,2,4,6},{3,7},{5}}
[5,2,6,7,1,3,4]=>[5,6,7,2,3,4,1]=>{{1,5},{2,6},{3,7},{4}}=>{{1,5},{2,6},{3,7},{4}}
[5,2,6,7,1,4,3]=>[5,2,6,1,4,7,3]=>{{1,5},{2},{3,6,7},{4}}=>{{1,2,5},{3,7},{4},{6}}
[5,2,6,7,3,1,4]=>[5,6,2,1,3,7,4]=>{{1,5},{2,6,7},{3},{4}}=>{{1,2,6},{3,7},{4},{5}}
[5,2,6,7,3,4,1]=>[5,2,6,1,3,7,4]=>{{1,5},{2},{3,6,7},{4}}=>{{1,2,5},{3,7},{4},{6}}
[5,2,6,7,4,1,3]=>[5,6,2,1,4,7,3]=>{{1,5},{2,6,7},{3},{4}}=>{{1,2,6},{3,7},{4},{5}}
[5,2,6,7,4,3,1]=>[5,4,2,1,6,7,3]=>{{1,5,6,7},{2,4},{3}}=>{{1,2,3,7},{4,6},{5}}
[5,2,7,1,3,4,6]=>[2,3,5,7,4,6,1]=>{{1,2,3,5},{4,7},{6}}=>{{1,4},{2},{3,5,6,7}}
[5,2,7,1,3,6,4]=>[5,2,3,7,1,6,4]=>{{1,5},{2},{3},{4,7},{6}}=>{{1,4},{2},{3,7},{5},{6}}
[5,2,7,1,4,3,6]=>[2,5,4,7,1,6,3]=>{{1,2,5},{3,4,7},{6}}=>{{1,4,5},{2},{3,6,7}}
[5,2,7,1,4,6,3]=>[5,2,4,7,1,6,3]=>{{1,5},{2},{3,4,7},{6}}=>{{1,4,5},{2},{3,7},{6}}
[5,2,7,1,6,3,4]=>[2,5,3,7,1,6,4]=>{{1,2,5},{3},{4,7},{6}}=>{{1,4},{2},{3,6,7},{5}}
[5,2,7,1,6,4,3]=>[7,5,2,6,1,4,3]=>{{1,7},{2,5},{3},{4,6}}=>{{1,7},{2,4},{3,6},{5}}
[5,2,7,3,1,4,6]=>[2,3,5,4,1,7,6]=>{{1,2,3,5},{4},{6,7}}=>{{1,2},{3,5,6,7},{4}}
[5,2,7,3,1,6,4]=>[5,2,7,3,1,6,4]=>{{1,5},{2},{3,7},{4},{6}}=>{{1,5},{2},{3,7},{4},{6}}
[5,2,7,3,4,1,6]=>[2,5,3,4,1,7,6]=>{{1,2,5},{3},{4},{6,7}}=>{{1,2},{3,6,7},{4},{5}}
[5,2,7,3,4,6,1]=>[5,2,3,4,1,7,6]=>{{1,5},{2},{3},{4},{6,7}}=>{{1,2},{3,7},{4},{5},{6}}
[5,2,7,3,6,1,4]=>[5,7,2,3,1,6,4]=>{{1,5},{2,7},{3},{4},{6}}=>{{1,6},{2},{3,7},{4},{5}}
[5,2,7,3,6,4,1]=>[7,5,2,3,1,6,4]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,7},{2},{3,6},{4},{5}}
[5,2,7,4,1,3,6]=>[2,5,7,4,1,6,3]=>{{1,2,5},{3,7},{4},{6}}=>{{1,5},{2},{3,6,7},{4}}
[5,2,7,4,1,6,3]=>[5,2,7,4,1,6,3]=>{{1,5},{2},{3,7},{4},{6}}=>{{1,5},{2},{3,7},{4},{6}}
[5,2,7,4,3,1,6]=>[2,5,4,3,1,7,6]=>{{1,2,5},{3,4},{6,7}}=>{{1,2},{3,6,7},{4,5}}
[5,2,7,4,3,6,1]=>[5,2,4,3,1,7,6]=>{{1,5},{2},{3,4},{6,7}}=>{{1,2},{3,7},{4,5},{6}}
[5,2,7,4,6,1,3]=>[5,7,2,4,1,6,3]=>{{1,5},{2,7},{3},{4},{6}}=>{{1,6},{2},{3,7},{4},{5}}
[5,2,7,4,6,3,1]=>[5,4,2,3,1,7,6]=>{{1,5},{2,4},{3},{6,7}}=>{{1,2},{3,7},{4,6},{5}}
[5,2,7,6,1,3,4]=>[2,5,7,3,1,6,4]=>{{1,2,5},{3,7},{4},{6}}=>{{1,5},{2},{3,6,7},{4}}
[5,2,7,6,1,4,3]=>[7,5,6,2,1,4,3]=>{{1,7},{2,5},{3,6},{4}}=>{{1,7},{2,5},{3,6},{4}}
[5,2,7,6,3,1,4]=>[2,7,5,3,1,6,4]=>{{1,2,7},{3,5},{4},{6}}=>{{1,6,7},{2},{3,5},{4}}
[5,2,7,6,3,4,1]=>[7,2,5,3,1,6,4]=>{{1,7},{2},{3,5},{4},{6}}=>{{1,7},{2},{3,5},{4},{6}}
[5,2,7,6,4,1,3]=>[5,7,6,2,1,4,3]=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}
[5,2,7,6,4,3,1]=>[7,5,4,2,1,6,3]=>{{1,7},{2,5},{3,4},{6}}=>{{1,7},{2},{3,6},{4,5}}
[5,3,1,2,4,6,7]=>[1,3,5,6,7,4,2]=>{{1},{2,3,5,7},{4,6}}=>{{1,3,5,6},{2,4},{7}}
[5,3,1,2,4,7,6]=>[5,1,3,4,7,6,2]=>{{1,5,7},{2},{3},{4},{6}}=>{{1,3,7},{2},{4},{5},{6}}
[5,3,1,2,6,4,7]=>[1,5,3,6,7,4,2]=>{{1},{2,5,7},{3},{4,6}}=>{{1,3,6},{2,4},{5},{7}}
[5,3,1,2,6,7,4]=>[5,1,3,6,7,4,2]=>{{1,5,7},{2},{3},{4,6}}=>{{1,3,7},{2,4},{5},{6}}
[5,3,1,2,7,4,6]=>[1,5,3,4,7,6,2]=>{{1},{2,5,7},{3},{4},{6}}=>{{1,3,6},{2},{4},{5},{7}}
[5,3,1,2,7,6,4]=>[5,3,1,2,7,6,4]=>{{1,5,7},{2,3},{4},{6}}=>{{1,3,7},{2},{4},{5,6}}
[5,3,1,4,2,6,7]=>[3,5,6,1,7,4,2]=>{{1,3,6},{2,5,7},{4}}=>{{1,3,6},{2,5,7},{4}}
[5,3,1,4,2,7,6]=>[3,1,5,4,7,6,2]=>{{1,3,5,7},{2},{4},{6}}=>{{1,3,5,7},{2},{4},{6}}
[5,3,1,4,6,2,7]=>[3,5,1,6,7,4,2]=>{{1,3},{2,5,7},{4,6}}=>{{1,3,6},{2,4},{5,7}}
[5,3,1,4,6,7,2]=>[3,1,5,6,7,4,2]=>{{1,3,5,7},{2},{4,6}}=>{{1,3,5,7},{2,4},{6}}
[5,3,1,4,7,2,6]=>[3,5,1,4,7,6,2]=>{{1,3},{2,5,7},{4},{6}}=>{{1,3,6},{2},{4},{5,7}}
[5,3,1,4,7,6,2]=>[5,3,1,4,7,6,2]=>{{1,5,7},{2,3},{4},{6}}=>{{1,3,7},{2},{4},{5,6}}
[5,3,1,6,2,4,7]=>[1,5,6,3,7,4,2]=>{{1},{2,5,7},{3,6},{4}}=>{{1,3,6},{2,5},{4},{7}}
[5,3,1,6,2,7,4]=>[5,1,6,3,7,4,2]=>{{1,5,7},{2},{3,6},{4}}=>{{1,3,7},{2,5},{4},{6}}
[5,3,1,6,4,2,7]=>[5,6,3,1,7,4,2]=>{{1,5,7},{2,6},{3},{4}}=>{{1,3,7},{2,6},{4},{5}}
[5,3,1,6,4,7,2]=>[5,3,6,1,7,4,2]=>{{1,5,7},{2,3,6},{4}}=>{{1,3,7},{2,5,6},{4}}
[5,3,1,6,7,2,4]=>[5,6,1,3,7,4,2]=>{{1,5,7},{2,6},{3},{4}}=>{{1,3,7},{2,6},{4},{5}}
[5,3,1,6,7,4,2]=>[5,3,1,6,7,4,2]=>{{1,5,7},{2,3},{4,6}}=>{{1,3,7},{2,4},{5,6}}
[5,3,1,7,2,4,6]=>[1,3,5,4,7,6,2]=>{{1},{2,3,5,7},{4},{6}}=>{{1,3,5,6},{2},{4},{7}}
[5,3,1,7,2,6,4]=>[5,1,3,2,7,6,4]=>{{1,5,7},{2},{3},{4},{6}}=>{{1,3,7},{2},{4},{5},{6}}
[5,3,1,7,4,2,6]=>[3,5,4,1,7,6,2]=>{{1,3,4},{2,5,7},{6}}=>{{1,3,6},{2},{4,5,7}}
[5,3,1,7,4,6,2]=>[5,3,4,1,7,6,2]=>{{1,5,7},{2,3,4},{6}}=>{{1,3,7},{2},{4,5,6}}
[5,3,1,7,6,2,4]=>[1,5,3,2,7,6,4]=>{{1},{2,5,7},{3},{4},{6}}=>{{1,3,6},{2},{4},{5},{7}}
[5,3,1,7,6,4,2]=>[7,5,3,1,6,4,2]=>{{1,7},{2,5,6},{3},{4}}=>{{1,7},{2,3,6},{4},{5}}
[5,3,2,1,4,6,7]=>[3,5,6,7,4,2,1]=>{{1,3,6},{2,5},{4,7}}=>{{1,4},{2,5,7},{3,6}}
[5,3,2,1,4,7,6]=>[5,3,4,7,6,2,1]=>{{1,5,6},{2,3,4,7}}=>{{1,4,5,6},{2,3,7}}
[5,3,2,1,6,4,7]=>[5,6,3,7,4,2,1]=>{{1,5},{2,6},{3},{4,7}}=>{{1,4},{2,6},{3,7},{5}}
[5,3,2,1,6,7,4]=>[5,3,6,7,4,2,1]=>{{1,5},{2,3,6},{4,7}}=>{{1,4},{2,5,6},{3,7}}
[5,3,2,1,7,4,6]=>[3,5,4,7,6,2,1]=>{{1,3,4,7},{2,5,6}}=>{{1,4,5,7},{2,3,6}}
[5,3,2,1,7,6,4]=>[5,3,2,7,6,4,1]=>{{1,5,6},{2,3},{4,7}}=>{{1,4},{2,3,7},{5,6}}
[5,3,2,4,1,6,7]=>[3,5,6,4,7,2,1]=>{{1,3,6},{2,5,7},{4}}=>{{1,3,6},{2,5,7},{4}}
[5,3,2,4,1,7,6]=>[5,3,7,4,6,2,1]=>{{1,5,6},{2,3,7},{4}}=>{{1,5,6},{2,3,7},{4}}
[5,3,2,4,6,1,7]=>[3,5,4,6,7,2,1]=>{{1,3,4,6},{2,5,7}}=>{{1,3,6},{2,4,5,7}}
[5,3,2,4,6,7,1]=>[5,3,4,6,7,2,1]=>{{1,5,7},{2,3,4,6}}=>{{1,3,7},{2,4,5,6}}
[5,3,2,4,7,1,6]=>[5,7,3,4,6,2,1]=>{{1,5,6},{2,7},{3},{4}}=>{{1,6},{2,3,7},{4},{5}}
[5,3,2,4,7,6,1]=>[5,3,2,4,7,6,1]=>{{1,5,7},{2,3},{4},{6}}=>{{1,3,7},{2},{4},{5,6}}
[5,3,2,6,1,4,7]=>[5,6,7,3,4,2,1]=>{{1,5},{2,6},{3,7},{4}}=>{{1,5},{2,6},{3,7},{4}}
[5,3,2,6,1,7,4]=>[5,3,6,4,7,2,1]=>{{1,5,7},{2,3,6},{4}}=>{{1,3,7},{2,5,6},{4}}
[5,3,2,6,4,1,7]=>[5,6,3,2,7,4,1]=>{{1,5,7},{2,6},{3},{4}}=>{{1,3,7},{2,6},{4},{5}}
[5,3,2,6,4,7,1]=>[5,3,6,2,7,4,1]=>{{1,5,7},{2,3,6},{4}}=>{{1,3,7},{2,5,6},{4}}
[5,3,2,6,7,1,4]=>[5,6,3,4,7,2,1]=>{{1,5,7},{2,6},{3},{4}}=>{{1,3,7},{2,6},{4},{5}}
[5,3,2,6,7,4,1]=>[5,3,2,6,7,4,1]=>{{1,5,7},{2,3},{4,6}}=>{{1,3,7},{2,4},{5,6}}
[5,3,2,7,1,4,6]=>[3,5,7,4,6,2,1]=>{{1,3,7},{2,5,6},{4}}=>{{1,5,7},{2,3,6},{4}}
[5,3,2,7,1,6,4]=>[5,3,7,2,6,4,1]=>{{1,5,6},{2,3,7},{4}}=>{{1,5,6},{2,3,7},{4}}
[5,3,2,7,4,1,6]=>[3,5,4,2,7,6,1]=>{{1,3,4},{2,5,7},{6}}=>{{1,3,6},{2},{4,5,7}}
[5,3,2,7,4,6,1]=>[5,3,4,2,7,6,1]=>{{1,5,7},{2,3,4},{6}}=>{{1,3,7},{2},{4,5,6}}
[5,3,2,7,6,1,4]=>[5,7,3,2,6,4,1]=>{{1,5,6},{2,7},{3},{4}}=>{{1,6},{2,3,7},{4},{5}}
[5,3,2,7,6,4,1]=>[5,3,2,1,7,6,4]=>{{1,5,7},{2,3},{4},{6}}=>{{1,3,7},{2},{4},{5,6}}
[5,3,4,1,2,6,7]=>[3,5,6,7,1,4,2]=>{{1,3,6},{2,5},{4,7}}=>{{1,4},{2,5,7},{3,6}}
[5,3,4,1,2,7,6]=>[3,1,5,7,4,6,2]=>{{1,3,5},{2},{4,7},{6}}=>{{1,4},{2},{3,5,7},{6}}
[5,3,4,1,6,2,7]=>[3,5,1,6,4,7,2]=>{{1,3},{2,5},{4,6,7}}=>{{1,2,4},{3,6},{5,7}}
[5,3,4,1,6,7,2]=>[3,1,5,6,4,7,2]=>{{1,3,5},{2},{4,6,7}}=>{{1,2,4},{3,5,7},{6}}
[5,3,4,1,7,2,6]=>[3,5,1,7,4,6,2]=>{{1,3},{2,5},{4,7},{6}}=>{{1,4},{2},{3,6},{5,7}}
[5,3,4,1,7,6,2]=>[5,3,1,7,4,6,2]=>{{1,5},{2,3},{4,7},{6}}=>{{1,4},{2},{3,7},{5,6}}
[5,3,4,2,1,6,7]=>[3,5,6,4,2,7,1]=>{{1,3,6,7},{2,5},{4}}=>{{1,2,5,7},{3,6},{4}}
[5,3,4,2,1,7,6]=>[5,3,7,4,2,6,1]=>{{1,5},{2,3,7},{4},{6}}=>{{1,5,6},{2},{3,7},{4}}
[5,3,4,2,6,1,7]=>[3,5,4,6,2,7,1]=>{{1,3,4,6,7},{2,5}}=>{{1,2,4,5,7},{3,6}}
[5,3,4,2,6,7,1]=>[5,3,4,6,2,7,1]=>{{1,5},{2,3,4,6,7}}=>{{1,2,4,5,6},{3,7}}
[5,3,4,2,7,1,6]=>[5,7,3,4,2,6,1]=>{{1,5},{2,7},{3},{4},{6}}=>{{1,6},{2},{3,7},{4},{5}}
[5,3,4,2,7,6,1]=>[5,3,2,7,4,6,1]=>{{1,5},{2,3},{4,7},{6}}=>{{1,4},{2},{3,7},{5,6}}
[5,3,4,6,1,2,7]=>[3,5,6,1,4,7,2]=>{{1,3,6,7},{2,5},{4}}=>{{1,2,5,7},{3,6},{4}}
[5,3,4,6,1,7,2]=>[3,1,5,4,6,7,2]=>{{1,3,5,6,7},{2},{4}}=>{{1,2,3,5,7},{4},{6}}
[5,3,4,6,2,1,7]=>[3,5,4,2,6,7,1]=>{{1,3,4},{2,5,6,7}}=>{{1,2,3,6},{4,5,7}}
[5,3,4,6,2,7,1]=>[5,3,4,2,6,7,1]=>{{1,5,6,7},{2,3,4}}=>{{1,2,3,7},{4,5,6}}
[5,3,4,6,7,1,2]=>[3,5,1,4,6,7,2]=>{{1,3},{2,5,6,7},{4}}=>{{1,2,3,6},{4},{5,7}}
[5,3,4,6,7,2,1]=>[5,3,2,4,6,7,1]=>{{1,5,6,7},{2,3},{4}}=>{{1,2,3,7},{4},{5,6}}
[5,3,4,7,1,2,6]=>[3,5,7,1,4,6,2]=>{{1,3,7},{2,5},{4},{6}}=>{{1,5,7},{2},{3,6},{4}}
[5,3,4,7,1,6,2]=>[5,3,7,1,4,6,2]=>{{1,5},{2,3,7},{4},{6}}=>{{1,5,6},{2},{3,7},{4}}
[5,3,4,7,2,1,6]=>[5,7,3,2,4,6,1]=>{{1,5},{2,7},{3},{4},{6}}=>{{1,6},{2},{3,7},{4},{5}}
[5,3,4,7,2,6,1]=>[5,3,7,2,4,6,1]=>{{1,5},{2,3,7},{4},{6}}=>{{1,5,6},{2},{3,7},{4}}
[5,3,4,7,6,1,2]=>[5,7,3,1,4,6,2]=>{{1,5},{2,7},{3},{4},{6}}=>{{1,6},{2},{3,7},{4},{5}}
[5,3,4,7,6,2,1]=>[5,3,2,1,4,7,6]=>{{1,5},{2,3},{4},{6,7}}=>{{1,2},{3,7},{4},{5,6}}
[5,3,6,1,2,4,7]=>[1,5,6,7,3,4,2]=>{{1},{2,5},{3,6},{4,7}}=>{{1,4},{2,5},{3,6},{7}}
[5,3,6,1,2,7,4]=>[5,1,6,7,3,4,2]=>{{1,5},{2},{3,6},{4,7}}=>{{1,4},{2,5},{3,7},{6}}
[5,3,6,1,4,2,7]=>[5,6,3,7,1,4,2]=>{{1,5},{2,6},{3},{4,7}}=>{{1,4},{2,6},{3,7},{5}}
[5,3,6,1,4,7,2]=>[5,3,6,7,1,4,2]=>{{1,5},{2,3,6},{4,7}}=>{{1,4},{2,5,6},{3,7}}
[5,3,6,1,7,2,4]=>[5,6,1,7,3,4,2]=>{{1,5},{2,6},{3},{4,7}}=>{{1,4},{2,6},{3,7},{5}}
[5,3,6,1,7,4,2]=>[5,3,1,6,4,7,2]=>{{1,5},{2,3},{4,6,7}}=>{{1,2,4},{3,7},{5,6}}
[5,3,6,2,1,4,7]=>[5,6,7,3,2,4,1]=>{{1,5},{2,6},{3,7},{4}}=>{{1,5},{2,6},{3,7},{4}}
[5,3,6,2,1,7,4]=>[5,3,6,4,2,7,1]=>{{1,5},{2,3,6,7},{4}}=>{{1,2,5,6},{3,7},{4}}
[5,3,6,2,4,1,7]=>[5,6,3,7,2,4,1]=>{{1,5},{2,6},{3},{4,7}}=>{{1,4},{2,6},{3,7},{5}}
[5,3,6,2,4,7,1]=>[5,3,6,7,2,4,1]=>{{1,5},{2,3,6},{4,7}}=>{{1,4},{2,5,6},{3,7}}
[5,3,6,2,7,1,4]=>[5,6,3,4,2,7,1]=>{{1,5},{2,6,7},{3},{4}}=>{{1,2,6},{3,7},{4},{5}}
[5,3,6,2,7,4,1]=>[5,3,2,6,4,7,1]=>{{1,5},{2,3},{4,6,7}}=>{{1,2,4},{3,7},{5,6}}
[5,3,6,4,1,2,7]=>[5,6,7,3,1,4,2]=>{{1,5},{2,6},{3,7},{4}}=>{{1,5},{2,6},{3,7},{4}}
[5,3,6,4,1,7,2]=>[5,3,6,4,1,7,2]=>{{1,5},{2,3,6,7},{4}}=>{{1,2,5,6},{3,7},{4}}
[5,3,6,4,2,1,7]=>[5,6,3,2,1,7,4]=>{{1,5},{2,6,7},{3},{4}}=>{{1,2,6},{3,7},{4},{5}}
[5,3,6,4,2,7,1]=>[5,3,6,2,1,7,4]=>{{1,5},{2,3,6,7},{4}}=>{{1,2,5,6},{3,7},{4}}
[5,3,6,4,7,1,2]=>[5,6,3,4,1,7,2]=>{{1,5},{2,6,7},{3},{4}}=>{{1,2,6},{3,7},{4},{5}}
[5,3,6,4,7,2,1]=>[5,3,2,6,1,7,4]=>{{1,5},{2,3},{4,6,7}}=>{{1,2,4},{3,7},{5,6}}
[5,3,6,7,1,2,4]=>[5,6,7,1,3,4,2]=>{{1,5},{2,6},{3,7},{4}}=>{{1,5},{2,6},{3,7},{4}}
[5,3,6,7,1,4,2]=>[5,3,6,1,4,7,2]=>{{1,5},{2,3,6,7},{4}}=>{{1,2,5,6},{3,7},{4}}
[5,3,6,7,2,1,4]=>[5,6,3,2,4,7,1]=>{{1,5},{2,6,7},{3},{4}}=>{{1,2,6},{3,7},{4},{5}}
[5,3,6,7,2,4,1]=>[5,3,6,2,4,7,1]=>{{1,5},{2,3,6,7},{4}}=>{{1,2,5,6},{3,7},{4}}
[5,3,6,7,4,1,2]=>[5,6,3,1,4,7,2]=>{{1,5},{2,6,7},{3},{4}}=>{{1,2,6},{3,7},{4},{5}}
[5,3,6,7,4,2,1]=>[5,3,2,1,6,7,4]=>{{1,5,6,7},{2,3},{4}}=>{{1,2,3,7},{4},{5,6}}
[5,3,7,1,2,4,6]=>[1,3,5,7,4,6,2]=>{{1},{2,3,5},{4,7},{6}}=>{{1,4},{2},{3,5,6},{7}}
[5,3,7,1,2,6,4]=>[5,1,3,7,2,6,4]=>{{1,5},{2},{3},{4,7},{6}}=>{{1,4},{2},{3,7},{5},{6}}
[5,3,7,1,4,2,6]=>[3,5,4,7,1,6,2]=>{{1,3,4,7},{2,5},{6}}=>{{1,4,5,7},{2},{3,6}}
[5,3,7,1,4,6,2]=>[5,3,4,7,1,6,2]=>{{1,5},{2,3,4,7},{6}}=>{{1,4,5,6},{2},{3,7}}
[5,3,7,1,6,2,4]=>[1,5,3,7,2,6,4]=>{{1},{2,5},{3},{4,7},{6}}=>{{1,4},{2},{3,6},{5},{7}}
[5,3,7,1,6,4,2]=>[7,5,3,6,1,4,2]=>{{1,7},{2,5},{3},{4,6}}=>{{1,7},{2,4},{3,6},{5}}
[5,3,7,2,1,4,6]=>[3,5,7,4,2,6,1]=>{{1,3,7},{2,5},{4},{6}}=>{{1,5,7},{2},{3,6},{4}}
[5,3,7,2,1,6,4]=>[5,3,7,6,2,4,1]=>{{1,5},{2,3,7},{4,6}}=>{{1,5,6},{2,4},{3,7}}
[5,3,7,2,4,1,6]=>[3,5,4,7,2,6,1]=>{{1,3,4,7},{2,5},{6}}=>{{1,4,5,7},{2},{3,6}}
[5,3,7,2,4,6,1]=>[5,3,4,7,2,6,1]=>{{1,5},{2,3,4,7},{6}}=>{{1,4,5,6},{2},{3,7}}
[5,3,7,2,6,1,4]=>[5,7,3,6,2,4,1]=>{{1,5},{2,7},{3},{4,6}}=>{{1,6},{2,4},{3,7},{5}}
[5,3,7,2,6,4,1]=>[5,3,2,7,1,6,4]=>{{1,5},{2,3},{4,7},{6}}=>{{1,4},{2},{3,7},{5,6}}
[5,3,7,4,1,2,6]=>[3,5,7,4,1,6,2]=>{{1,3,7},{2,5},{4},{6}}=>{{1,5,7},{2},{3,6},{4}}
[5,3,7,4,1,6,2]=>[5,3,7,4,1,6,2]=>{{1,5},{2,3,7},{4},{6}}=>{{1,5,6},{2},{3,7},{4}}
[5,3,7,4,2,1,6]=>[3,5,4,2,1,7,6]=>{{1,3,4},{2,5},{6,7}}=>{{1,2},{3,6},{4,5,7}}
[5,3,7,4,2,6,1]=>[5,3,4,2,1,7,6]=>{{1,5},{2,3,4},{6,7}}=>{{1,2},{3,7},{4,5,6}}
[5,3,7,4,6,1,2]=>[5,7,3,4,1,6,2]=>{{1,5},{2,7},{3},{4},{6}}=>{{1,6},{2},{3,7},{4},{5}}
[5,3,7,4,6,2,1]=>[5,3,2,4,1,7,6]=>{{1,5},{2,3},{4},{6,7}}=>{{1,2},{3,7},{4},{5,6}}
[5,3,7,6,1,2,4]=>[1,5,7,3,2,6,4]=>{{1},{2,5},{3,7},{4},{6}}=>{{1,5},{2},{3,6},{4},{7}}
[5,3,7,6,1,4,2]=>[7,5,6,3,1,4,2]=>{{1,7},{2,5},{3,6},{4}}=>{{1,7},{2,5},{3,6},{4}}
[5,3,7,6,2,1,4]=>[5,7,3,2,1,6,4]=>{{1,5},{2,7},{3},{4},{6}}=>{{1,6},{2},{3,7},{4},{5}}
[5,3,7,6,2,4,1]=>[5,3,7,2,1,6,4]=>{{1,5},{2,3,7},{4},{6}}=>{{1,5,6},{2},{3,7},{4}}
[5,3,7,6,4,1,2]=>[5,7,6,3,1,4,2]=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}
[5,3,7,6,4,2,1]=>[7,5,3,2,1,6,4]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,7},{2},{3,6},{4},{5}}
[5,4,1,2,3,6,7]=>[1,2,5,6,7,4,3]=>{{1},{2},{3,5,7},{4,6}}=>{{1,3,5},{2,4},{6},{7}}
[5,4,1,2,3,7,6]=>[5,1,2,4,7,6,3]=>{{1,5,7},{2},{3},{4},{6}}=>{{1,3,7},{2},{4},{5},{6}}
[5,4,1,2,6,3,7]=>[1,5,2,6,7,4,3]=>{{1},{2,5,7},{3},{4,6}}=>{{1,3,6},{2,4},{5},{7}}
[5,4,1,2,6,7,3]=>[5,1,2,6,7,4,3]=>{{1,5,7},{2},{3},{4,6}}=>{{1,3,7},{2,4},{5},{6}}
[5,4,1,2,7,3,6]=>[1,5,2,4,7,6,3]=>{{1},{2,5,7},{3},{4},{6}}=>{{1,3,6},{2},{4},{5},{7}}
[5,4,1,2,7,6,3]=>[5,4,1,2,7,6,3]=>{{1,5,7},{2,4},{3},{6}}=>{{1,3,7},{2},{4,6},{5}}
[5,4,1,3,2,6,7]=>[1,5,6,4,7,3,2]=>{{1},{2,5,7},{3,6},{4}}=>{{1,3,6},{2,5},{4},{7}}
[5,4,1,3,2,7,6]=>[5,1,7,4,6,3,2]=>{{1,5,6},{2},{3,7},{4}}=>{{1,5},{2,3,7},{4},{6}}
[5,4,1,3,6,2,7]=>[1,5,4,6,7,3,2]=>{{1},{2,5,7},{3,4,6}}=>{{1,3,6},{2,4,5},{7}}
[5,4,1,3,6,7,2]=>[5,1,4,6,7,3,2]=>{{1,5,7},{2},{3,4,6}}=>{{1,3,7},{2,4,5},{6}}
[5,4,1,3,7,2,6]=>[5,7,1,4,6,3,2]=>{{1,5,6},{2,7},{3},{4}}=>{{1,6},{2,3,7},{4},{5}}
[5,4,1,3,7,6,2]=>[5,4,1,3,7,6,2]=>{{1,5,7},{2,4},{3},{6}}=>{{1,3,7},{2},{4,6},{5}}
[5,4,1,6,2,3,7]=>[1,5,6,2,7,4,3]=>{{1},{2,5,7},{3,6},{4}}=>{{1,3,6},{2,5},{4},{7}}
[5,4,1,6,2,7,3]=>[5,1,6,2,7,4,3]=>{{1,5,7},{2},{3,6},{4}}=>{{1,3,7},{2,5},{4},{6}}
[5,4,1,6,3,2,7]=>[5,6,4,1,7,3,2]=>{{1,5,7},{2,6},{3,4}}=>{{1,3,7},{2,6},{4,5}}
[5,4,1,6,3,7,2]=>[5,4,6,1,7,3,2]=>{{1,5,7},{2,4},{3,6}}=>{{1,3,7},{2,5},{4,6}}
[5,4,1,6,7,2,3]=>[5,6,1,2,7,4,3]=>{{1,5,7},{2,6},{3},{4}}=>{{1,3,7},{2,6},{4},{5}}
[5,4,1,6,7,3,2]=>[5,4,1,6,7,3,2]=>{{1,5,7},{2,4,6},{3}}=>{{1,3,7},{2,4,6},{5}}
[5,4,1,7,2,3,6]=>[1,2,5,4,7,6,3]=>{{1},{2},{3,5,7},{4},{6}}=>{{1,3,5},{2},{4},{6},{7}}
[5,4,1,7,2,6,3]=>[5,1,4,2,7,6,3]=>{{1,5,7},{2},{3,4},{6}}=>{{1,3,7},{2},{4,5},{6}}
[5,4,1,7,3,2,6]=>[1,5,4,3,7,6,2]=>{{1},{2,5,7},{3,4},{6}}=>{{1,3,6},{2},{4,5},{7}}
[5,4,1,7,3,6,2]=>[5,1,4,3,7,6,2]=>{{1,5,7},{2},{3,4},{6}}=>{{1,3,7},{2},{4,5},{6}}
[5,4,1,7,6,2,3]=>[1,5,4,2,7,6,3]=>{{1},{2,5,7},{3,4},{6}}=>{{1,3,6},{2},{4,5},{7}}
[5,4,1,7,6,3,2]=>[5,4,3,1,7,6,2]=>{{1,5,7},{2,4},{3},{6}}=>{{1,3,7},{2},{4,6},{5}}
[5,4,2,1,3,6,7]=>[2,5,6,7,4,3,1]=>{{1,2,5},{3,6},{4,7}}=>{{1,4},{2,5},{3,6,7}}
[5,4,2,1,3,7,6]=>[5,2,4,7,6,3,1]=>{{1,5,6},{2},{3,4,7}}=>{{1,4,5},{2,3,7},{6}}
[5,4,2,1,6,3,7]=>[5,6,2,7,4,3,1]=>{{1,5},{2,6},{3},{4,7}}=>{{1,4},{2,6},{3,7},{5}}
[5,4,2,1,6,7,3]=>[5,2,6,7,4,3,1]=>{{1,5},{2},{3,6},{4,7}}=>{{1,4},{2,5},{3,7},{6}}
[5,4,2,1,7,3,6]=>[2,5,4,7,6,3,1]=>{{1,2,5,6},{3,4,7}}=>{{1,4,5},{2,3,6,7}}
[5,4,2,1,7,6,3]=>[5,4,2,7,6,3,1]=>{{1,5,6},{2,4,7},{3}}=>{{1,4,6},{2,3,7},{5}}
[5,4,2,3,1,6,7]=>[2,5,6,4,7,3,1]=>{{1,2,5,7},{3,6},{4}}=>{{1,3,6,7},{2,5},{4}}
[5,4,2,3,1,7,6]=>[5,2,7,4,6,3,1]=>{{1,5,6},{2},{3,7},{4}}=>{{1,5},{2,3,7},{4},{6}}
[5,4,2,3,6,1,7]=>[2,5,4,6,7,3,1]=>{{1,2,5,7},{3,4,6}}=>{{1,3,6,7},{2,4,5}}
[5,4,2,3,6,7,1]=>[5,2,4,6,7,3,1]=>{{1,5,7},{2},{3,4,6}}=>{{1,3,7},{2,4,5},{6}}
[5,4,2,3,7,1,6]=>[5,7,2,4,6,3,1]=>{{1,5,6},{2,7},{3},{4}}=>{{1,6},{2,3,7},{4},{5}}
[5,4,2,3,7,6,1]=>[5,4,2,3,7,6,1]=>{{1,5,7},{2,4},{3},{6}}=>{{1,3,7},{2},{4,6},{5}}
[5,4,2,6,1,3,7]=>[5,6,7,2,4,3,1]=>{{1,5},{2,6},{3,7},{4}}=>{{1,5},{2,6},{3,7},{4}}
[5,4,2,6,1,7,3]=>[5,2,6,4,7,3,1]=>{{1,5,7},{2},{3,6},{4}}=>{{1,3,7},{2,5},{4},{6}}
[5,4,2,6,3,1,7]=>[5,6,4,2,7,3,1]=>{{1,5,7},{2,6},{3,4}}=>{{1,3,7},{2,6},{4,5}}
[5,4,2,6,3,7,1]=>[5,4,6,2,7,3,1]=>{{1,5,7},{2,4},{3,6}}=>{{1,3,7},{2,5},{4,6}}
[5,4,2,6,7,1,3]=>[5,6,2,4,7,3,1]=>{{1,5,7},{2,6},{3},{4}}=>{{1,3,7},{2,6},{4},{5}}
[5,4,2,6,7,3,1]=>[5,4,2,6,7,3,1]=>{{1,5,7},{2,4,6},{3}}=>{{1,3,7},{2,4,6},{5}}
[5,4,2,7,1,3,6]=>[2,5,7,4,6,3,1]=>{{1,2,5,6},{3,7},{4}}=>{{1,5},{2,3,6,7},{4}}
[5,4,2,7,1,6,3]=>[5,4,7,2,6,3,1]=>{{1,5,6},{2,4},{3,7}}=>{{1,5},{2,3,7},{4,6}}
[5,4,2,7,3,1,6]=>[2,5,4,3,7,6,1]=>{{1,2,5,7},{3,4},{6}}=>{{1,3,6,7},{2},{4,5}}
[5,4,2,7,3,6,1]=>[5,2,4,3,7,6,1]=>{{1,5,7},{2},{3,4},{6}}=>{{1,3,7},{2},{4,5},{6}}
[5,4,2,7,6,1,3]=>[5,7,4,2,6,3,1]=>{{1,5,6},{2,7},{3,4}}=>{{1,6},{2,3,7},{4,5}}
[5,4,2,7,6,3,1]=>[5,4,2,1,7,6,3]=>{{1,5,7},{2,4},{3},{6}}=>{{1,3,7},{2},{4,6},{5}}
[5,4,3,1,2,6,7]=>[1,5,6,7,4,3,2]=>{{1},{2,5},{3,6},{4,7}}=>{{1,4},{2,5},{3,6},{7}}
[5,4,3,1,2,7,6]=>[5,1,4,7,6,3,2]=>{{1,5,6},{2},{3,4,7}}=>{{1,4,5},{2,3,7},{6}}
[5,4,3,1,6,2,7]=>[5,6,1,7,4,3,2]=>{{1,5},{2,6},{3},{4,7}}=>{{1,4},{2,6},{3,7},{5}}
[5,4,3,1,6,7,2]=>[5,1,6,7,4,3,2]=>{{1,5},{2},{3,6},{4,7}}=>{{1,4},{2,5},{3,7},{6}}
[5,4,3,1,7,2,6]=>[1,5,4,7,6,3,2]=>{{1},{2,5,6},{3,4,7}}=>{{1,4,5},{2,3,6},{7}}
[5,4,3,1,7,6,2]=>[5,4,1,7,6,3,2]=>{{1,5,6},{2,4,7},{3}}=>{{1,4,6},{2,3,7},{5}}
[5,4,3,2,1,6,7]=>[5,6,7,4,3,2,1]=>{{1,5},{2,6},{3,7},{4}}=>{{1,5},{2,6},{3,7},{4}}
[5,4,3,2,1,7,6]=>[5,4,7,6,3,2,1]=>{{1,5},{2,4,6},{3,7}}=>{{1,5},{2,4,6},{3,7}}
[5,4,3,2,6,1,7]=>[5,6,4,7,3,2,1]=>{{1,5},{2,6},{3,4,7}}=>{{1,4,5},{2,6},{3,7}}
[5,4,3,2,6,7,1]=>[5,4,6,7,3,2,1]=>{{1,5},{2,4,7},{3,6}}=>{{1,4,6},{2,5},{3,7}}
[5,4,3,2,7,1,6]=>[5,7,4,6,3,2,1]=>{{1,5},{2,7},{3,4,6}}=>{{1,6},{2,4,5},{3,7}}
[5,4,3,2,7,6,1]=>[5,4,3,7,6,2,1]=>{{1,5,6},{2,4,7},{3}}=>{{1,4,6},{2,3,7},{5}}
[5,4,3,6,1,2,7]=>[5,6,7,1,4,3,2]=>{{1,5},{2,6},{3,7},{4}}=>{{1,5},{2,6},{3,7},{4}}
[5,4,3,6,1,7,2]=>[5,1,6,4,7,3,2]=>{{1,5,7},{2},{3,6},{4}}=>{{1,3,7},{2,5},{4},{6}}
[5,4,3,6,2,1,7]=>[5,6,4,3,7,2,1]=>{{1,5,7},{2,6},{3,4}}=>{{1,3,7},{2,6},{4,5}}
[5,4,3,6,2,7,1]=>[5,4,6,3,7,2,1]=>{{1,5,7},{2,4},{3,6}}=>{{1,3,7},{2,5},{4,6}}
[5,4,3,6,7,1,2]=>[5,6,1,4,7,3,2]=>{{1,5,7},{2,6},{3},{4}}=>{{1,3,7},{2,6},{4},{5}}
[5,4,3,6,7,2,1]=>[5,4,3,6,7,2,1]=>{{1,5,7},{2,4,6},{3}}=>{{1,3,7},{2,4,6},{5}}
[5,4,3,7,1,2,6]=>[1,5,7,4,6,3,2]=>{{1},{2,5,6},{3,7},{4}}=>{{1,5},{2,3,6},{4},{7}}
[5,4,3,7,1,6,2]=>[5,4,7,1,6,3,2]=>{{1,5,6},{2,4},{3,7}}=>{{1,5},{2,3,7},{4,6}}
[5,4,3,7,2,1,6]=>[5,7,4,3,6,2,1]=>{{1,5,6},{2,7},{3,4}}=>{{1,6},{2,3,7},{4,5}}
[5,4,3,7,2,6,1]=>[5,4,7,3,6,2,1]=>{{1,5,6},{2,4},{3,7}}=>{{1,5},{2,3,7},{4,6}}
[5,4,3,7,6,1,2]=>[5,7,4,1,6,3,2]=>{{1,5,6},{2,7},{3,4}}=>{{1,6},{2,3,7},{4,5}}
[5,4,3,7,6,2,1]=>[5,4,3,2,7,6,1]=>{{1,5,7},{2,4},{3},{6}}=>{{1,3,7},{2},{4,6},{5}}
[5,4,6,1,2,3,7]=>[1,5,6,7,2,4,3]=>{{1},{2,5},{3,6},{4,7}}=>{{1,4},{2,5},{3,6},{7}}
[5,4,6,1,2,7,3]=>[5,1,6,7,2,4,3]=>{{1,5},{2},{3,6},{4,7}}=>{{1,4},{2,5},{3,7},{6}}
[5,4,6,1,3,2,7]=>[5,6,4,7,1,3,2]=>{{1,5},{2,6},{3,4,7}}=>{{1,4,5},{2,6},{3,7}}
[5,4,6,1,3,7,2]=>[5,4,6,7,1,3,2]=>{{1,5},{2,4,7},{3,6}}=>{{1,4,6},{2,5},{3,7}}
[5,4,6,1,7,2,3]=>[5,6,1,7,2,4,3]=>{{1,5},{2,6},{3},{4,7}}=>{{1,4},{2,6},{3,7},{5}}
[5,4,6,1,7,3,2]=>[5,4,1,6,3,7,2]=>{{1,5},{2,4,6,7},{3}}=>{{1,2,4,6},{3,7},{5}}
[5,4,6,2,1,3,7]=>[5,6,7,4,2,3,1]=>{{1,5},{2,6},{3,7},{4}}=>{{1,5},{2,6},{3,7},{4}}
[5,4,6,2,1,7,3]=>[5,2,6,4,3,7,1]=>{{1,5},{2},{3,6,7},{4}}=>{{1,2,5},{3,7},{4},{6}}
[5,4,6,2,3,1,7]=>[5,6,4,7,2,3,1]=>{{1,5},{2,6},{3,4,7}}=>{{1,4,5},{2,6},{3,7}}
[5,4,6,2,3,7,1]=>[5,4,6,7,2,3,1]=>{{1,5},{2,4,7},{3,6}}=>{{1,4,6},{2,5},{3,7}}
[5,4,6,2,7,1,3]=>[5,6,2,4,3,7,1]=>{{1,5},{2,6,7},{3},{4}}=>{{1,2,6},{3,7},{4},{5}}
[5,4,6,2,7,3,1]=>[5,4,2,6,3,7,1]=>{{1,5},{2,4,6,7},{3}}=>{{1,2,4,6},{3,7},{5}}
[5,4,6,3,1,2,7]=>[5,6,7,4,1,3,2]=>{{1,5},{2,6},{3,7},{4}}=>{{1,5},{2,6},{3,7},{4}}
[5,4,6,3,1,7,2]=>[5,1,6,4,3,7,2]=>{{1,5},{2},{3,6,7},{4}}=>{{1,2,5},{3,7},{4},{6}}
[5,4,6,3,2,1,7]=>[5,6,4,3,2,7,1]=>{{1,5},{2,6,7},{3,4}}=>{{1,2,6},{3,7},{4,5}}
[5,4,6,3,2,7,1]=>[5,4,6,3,2,7,1]=>{{1,5},{2,4},{3,6,7}}=>{{1,2,5},{3,7},{4,6}}
[5,4,6,3,7,1,2]=>[5,6,1,4,3,7,2]=>{{1,5},{2,6,7},{3},{4}}=>{{1,2,6},{3,7},{4},{5}}
[5,4,6,3,7,2,1]=>[5,4,3,6,2,7,1]=>{{1,5},{2,4,6,7},{3}}=>{{1,2,4,6},{3,7},{5}}
[5,4,6,7,1,2,3]=>[5,6,7,1,2,4,3]=>{{1,5},{2,6},{3,7},{4}}=>{{1,5},{2,6},{3,7},{4}}
[5,4,6,7,1,3,2]=>[5,4,6,1,3,7,2]=>{{1,5},{2,4},{3,6,7}}=>{{1,2,5},{3,7},{4,6}}
[5,4,6,7,2,1,3]=>[5,6,4,2,3,7,1]=>{{1,5},{2,6,7},{3,4}}=>{{1,2,6},{3,7},{4,5}}
[5,4,6,7,2,3,1]=>[5,4,6,2,3,7,1]=>{{1,5},{2,4},{3,6,7}}=>{{1,2,5},{3,7},{4,6}}
[5,4,6,7,3,1,2]=>[5,6,4,1,3,7,2]=>{{1,5},{2,6,7},{3,4}}=>{{1,2,6},{3,7},{4,5}}
[5,4,6,7,3,2,1]=>[5,4,3,2,6,7,1]=>{{1,5,6,7},{2,4},{3}}=>{{1,2,3,7},{4,6},{5}}
[5,4,7,1,2,3,6]=>[1,2,5,7,4,6,3]=>{{1},{2},{3,5},{4,7},{6}}=>{{1,4},{2},{3,5},{6},{7}}
[5,4,7,1,2,6,3]=>[5,1,4,7,2,6,3]=>{{1,5},{2},{3,4,7},{6}}=>{{1,4,5},{2},{3,7},{6}}
[5,4,7,1,3,2,6]=>[1,5,4,7,3,6,2]=>{{1},{2,5},{3,4,7},{6}}=>{{1,4,5},{2},{3,6},{7}}
[5,4,7,1,3,6,2]=>[5,1,4,7,3,6,2]=>{{1,5},{2},{3,4,7},{6}}=>{{1,4,5},{2},{3,7},{6}}
[5,4,7,1,6,2,3]=>[1,5,4,7,2,6,3]=>{{1},{2,5},{3,4,7},{6}}=>{{1,4,5},{2},{3,6},{7}}
[5,4,7,1,6,3,2]=>[5,4,3,7,1,6,2]=>{{1,5},{2,4,7},{3},{6}}=>{{1,4,6},{2},{3,7},{5}}
[5,4,7,2,1,3,6]=>[2,5,7,4,3,6,1]=>{{1,2,5},{3,7},{4},{6}}=>{{1,5},{2},{3,6,7},{4}}
[5,4,7,2,1,6,3]=>[5,4,7,6,2,3,1]=>{{1,5},{2,4,6},{3,7}}=>{{1,5},{2,4,6},{3,7}}
[5,4,7,2,3,1,6]=>[2,5,4,7,3,6,1]=>{{1,2,5},{3,4,7},{6}}=>{{1,4,5},{2},{3,6,7}}
[5,4,7,2,3,6,1]=>[5,2,4,7,3,6,1]=>{{1,5},{2},{3,4,7},{6}}=>{{1,4,5},{2},{3,7},{6}}
[5,4,7,2,6,1,3]=>[5,7,4,6,2,3,1]=>{{1,5},{2,7},{3,4,6}}=>{{1,6},{2,4,5},{3,7}}
[5,4,7,2,6,3,1]=>[5,4,2,7,1,6,3]=>{{1,5},{2,4,7},{3},{6}}=>{{1,4,6},{2},{3,7},{5}}
[5,4,7,3,1,2,6]=>[1,5,7,4,3,6,2]=>{{1},{2,5},{3,7},{4},{6}}=>{{1,5},{2},{3,6},{4},{7}}
[5,4,7,3,1,6,2]=>[5,4,7,6,1,3,2]=>{{1,5},{2,4,6},{3,7}}=>{{1,5},{2,4,6},{3,7}}
[5,4,7,3,2,1,6]=>[5,7,4,3,2,6,1]=>{{1,5},{2,7},{3,4},{6}}=>{{1,6},{2},{3,7},{4,5}}
[5,4,7,3,2,6,1]=>[5,4,7,3,2,6,1]=>{{1,5},{2,4},{3,7},{6}}=>{{1,5},{2},{3,7},{4,6}}
[5,4,7,3,6,1,2]=>[5,7,4,6,1,3,2]=>{{1,5},{2,7},{3,4,6}}=>{{1,6},{2,4,5},{3,7}}
[5,4,7,3,6,2,1]=>[5,4,3,7,2,6,1]=>{{1,5},{2,4,7},{3},{6}}=>{{1,4,6},{2},{3,7},{5}}
[5,4,7,6,1,2,3]=>[1,5,7,4,2,6,3]=>{{1},{2,5},{3,7},{4},{6}}=>{{1,5},{2},{3,6},{4},{7}}
[5,4,7,6,1,3,2]=>[5,4,7,3,1,6,2]=>{{1,5},{2,4},{3,7},{6}}=>{{1,5},{2},{3,7},{4,6}}
[5,4,7,6,2,1,3]=>[5,7,4,2,1,6,3]=>{{1,5},{2,7},{3,4},{6}}=>{{1,6},{2},{3,7},{4,5}}
[5,4,7,6,2,3,1]=>[5,4,7,2,1,6,3]=>{{1,5},{2,4},{3,7},{6}}=>{{1,5},{2},{3,7},{4,6}}
[5,4,7,6,3,1,2]=>[5,7,4,3,1,6,2]=>{{1,5},{2,7},{3,4},{6}}=>{{1,6},{2},{3,7},{4,5}}
[5,4,7,6,3,2,1]=>[5,4,3,2,1,7,6]=>{{1,5},{2,4},{3},{6,7}}=>{{1,2},{3,7},{4,6},{5}}
[5,6,1,2,3,4,7]=>[1,2,5,6,7,3,4]=>{{1},{2},{3,5,7},{4,6}}=>{{1,3,5},{2,4},{6},{7}}
[5,6,1,2,3,7,4]=>[5,1,2,6,7,3,4]=>{{1,5,7},{2},{3},{4,6}}=>{{1,3,7},{2,4},{5},{6}}
[5,6,1,2,4,3,7]=>[1,5,4,6,7,2,3]=>{{1},{2,5,7},{3,4,6}}=>{{1,3,6},{2,4,5},{7}}
[5,6,1,2,4,7,3]=>[5,1,4,6,7,2,3]=>{{1,5,7},{2},{3,4,6}}=>{{1,3,7},{2,4,5},{6}}
[5,6,1,2,7,3,4]=>[1,5,2,6,7,3,4]=>{{1},{2,5,7},{3},{4,6}}=>{{1,3,6},{2,4},{5},{7}}
[5,6,1,2,7,4,3]=>[5,4,1,6,7,2,3]=>{{1,5,7},{2,4,6},{3}}=>{{1,3,7},{2,4,6},{5}}
[5,6,1,3,2,4,7]=>[1,5,6,3,7,2,4]=>{{1},{2,5,7},{3,6},{4}}=>{{1,3,6},{2,5},{4},{7}}
[5,6,1,3,2,7,4]=>[5,1,6,3,7,2,4]=>{{1,5,7},{2},{3,6},{4}}=>{{1,3,7},{2,5},{4},{6}}
[5,6,1,3,4,2,7]=>[1,5,3,6,7,2,4]=>{{1},{2,5,7},{3},{4,6}}=>{{1,3,6},{2,4},{5},{7}}
[5,6,1,3,4,7,2]=>[5,1,3,6,7,2,4]=>{{1,5,7},{2},{3},{4,6}}=>{{1,3,7},{2,4},{5},{6}}
[5,6,1,3,7,2,4]=>[5,6,1,3,7,2,4]=>{{1,5,7},{2,6},{3},{4}}=>{{1,3,7},{2,6},{4},{5}}
[5,6,1,3,7,4,2]=>[5,3,1,6,7,2,4]=>{{1,5,7},{2,3},{4,6}}=>{{1,3,7},{2,4},{5,6}}
[5,6,1,4,2,3,7]=>[1,5,6,4,7,2,3]=>{{1},{2,5,7},{3,6},{4}}=>{{1,3,6},{2,5},{4},{7}}
[5,6,1,4,2,7,3]=>[5,1,6,4,7,2,3]=>{{1,5,7},{2},{3,6},{4}}=>{{1,3,7},{2,5},{4},{6}}
[5,6,1,4,3,2,7]=>[5,6,4,3,7,1,2]=>{{1,5,7},{2,6},{3,4}}=>{{1,3,7},{2,6},{4,5}}
[5,6,1,4,3,7,2]=>[5,4,6,3,7,1,2]=>{{1,5,7},{2,4},{3,6}}=>{{1,3,7},{2,5},{4,6}}
[5,6,1,4,7,2,3]=>[5,6,1,4,7,2,3]=>{{1,5,7},{2,6},{3},{4}}=>{{1,3,7},{2,6},{4},{5}}
[5,6,1,4,7,3,2]=>[5,4,3,6,7,1,2]=>{{1,5,7},{2,4,6},{3}}=>{{1,3,7},{2,4,6},{5}}
[5,6,1,7,2,3,4]=>[1,5,6,2,7,3,4]=>{{1},{2,5,7},{3,6},{4}}=>{{1,3,6},{2,5},{4},{7}}
[5,6,1,7,2,4,3]=>[5,4,6,1,7,2,3]=>{{1,5,7},{2,4},{3,6}}=>{{1,3,7},{2,5},{4,6}}
[5,6,1,7,3,2,4]=>[5,6,3,1,7,2,4]=>{{1,5,7},{2,6},{3},{4}}=>{{1,3,7},{2,6},{4},{5}}
[5,6,1,7,3,4,2]=>[5,3,6,1,7,2,4]=>{{1,5,7},{2,3,6},{4}}=>{{1,3,7},{2,5,6},{4}}
[5,6,1,7,4,2,3]=>[5,6,4,1,7,2,3]=>{{1,5,7},{2,6},{3,4}}=>{{1,3,7},{2,6},{4,5}}
[5,6,1,7,4,3,2]=>[5,4,3,1,6,2,7]=>{{1,5,6},{2,4},{3},{7}}=>{{1},{2,3,7},{4,6},{5}}
[5,6,2,1,3,4,7]=>[2,5,6,7,3,1,4]=>{{1,2,5},{3,6},{4,7}}=>{{1,4},{2,5},{3,6,7}}
[5,6,2,1,3,7,4]=>[5,2,6,7,3,1,4]=>{{1,5},{2},{3,6},{4,7}}=>{{1,4},{2,5},{3,7},{6}}
[5,6,2,1,4,3,7]=>[5,6,2,7,4,1,3]=>{{1,5},{2,6},{3},{4,7}}=>{{1,4},{2,6},{3,7},{5}}
[5,6,2,1,4,7,3]=>[5,2,6,7,4,1,3]=>{{1,5},{2},{3,6},{4,7}}=>{{1,4},{2,5},{3,7},{6}}
[5,6,2,1,7,3,4]=>[5,6,2,7,3,1,4]=>{{1,5},{2,6},{3},{4,7}}=>{{1,4},{2,6},{3,7},{5}}
[5,6,2,1,7,4,3]=>[5,2,1,6,4,3,7]=>{{1,5},{2},{3},{4,6},{7}}=>{{1},{2,4},{3,7},{5},{6}}
[5,6,2,3,1,4,7]=>[2,5,6,3,7,1,4]=>{{1,2,5,7},{3,6},{4}}=>{{1,3,6,7},{2,5},{4}}
[5,6,2,3,1,7,4]=>[5,2,6,3,7,1,4]=>{{1,5,7},{2},{3,6},{4}}=>{{1,3,7},{2,5},{4},{6}}
[5,6,2,3,4,1,7]=>[2,5,3,6,7,1,4]=>{{1,2,5,7},{3},{4,6}}=>{{1,3,6,7},{2,4},{5}}
[5,6,2,3,4,7,1]=>[5,2,3,6,7,1,4]=>{{1,5,7},{2},{3},{4,6}}=>{{1,3,7},{2,4},{5},{6}}
[5,6,2,3,7,1,4]=>[5,6,2,3,7,1,4]=>{{1,5,7},{2,6},{3},{4}}=>{{1,3,7},{2,6},{4},{5}}
[5,6,2,3,7,4,1]=>[5,2,1,6,7,3,4]=>{{1,5,7},{2},{3},{4,6}}=>{{1,3,7},{2,4},{5},{6}}
[5,6,2,4,1,3,7]=>[5,6,7,2,4,1,3]=>{{1,5},{2,6},{3,7},{4}}=>{{1,5},{2,6},{3,7},{4}}
[5,6,2,4,1,7,3]=>[5,2,6,4,7,1,3]=>{{1,5,7},{2},{3,6},{4}}=>{{1,3,7},{2,5},{4},{6}}
[5,6,2,4,3,1,7]=>[5,6,4,2,7,1,3]=>{{1,5,7},{2,6},{3,4}}=>{{1,3,7},{2,6},{4,5}}
[5,6,2,4,3,7,1]=>[5,4,6,2,7,1,3]=>{{1,5,7},{2,4},{3,6}}=>{{1,3,7},{2,5},{4,6}}
[5,6,2,4,7,1,3]=>[5,6,2,4,7,1,3]=>{{1,5,7},{2,6},{3},{4}}=>{{1,3,7},{2,6},{4},{5}}
[5,6,2,4,7,3,1]=>[5,4,2,6,7,1,3]=>{{1,5,7},{2,4,6},{3}}=>{{1,3,7},{2,4,6},{5}}
[5,6,2,7,1,3,4]=>[5,6,7,2,3,1,4]=>{{1,5},{2,6},{3,7},{4}}=>{{1,5},{2,6},{3,7},{4}}
[5,6,2,7,1,4,3]=>[5,2,6,1,4,3,7]=>{{1,5},{2},{3,6},{4},{7}}=>{{1},{2,5},{3,7},{4},{6}}
[5,6,2,7,3,1,4]=>[5,6,2,1,7,3,4]=>{{1,5,7},{2,6},{3},{4}}=>{{1,3,7},{2,6},{4},{5}}
[5,6,2,7,3,4,1]=>[5,2,6,1,7,3,4]=>{{1,5,7},{2},{3,6},{4}}=>{{1,3,7},{2,5},{4},{6}}
[5,6,2,7,4,1,3]=>[5,6,2,1,4,3,7]=>{{1,5},{2,6},{3},{4},{7}}=>{{1},{2,6},{3,7},{4},{5}}
[5,6,2,7,4,3,1]=>[5,4,2,1,6,3,7]=>{{1,5,6},{2,4},{3},{7}}=>{{1},{2,3,7},{4,6},{5}}
[5,6,3,1,2,4,7]=>[1,5,6,7,3,2,4]=>{{1},{2,5},{3,6},{4,7}}=>{{1,4},{2,5},{3,6},{7}}
[5,6,3,1,2,7,4]=>[5,1,6,7,3,2,4]=>{{1,5},{2},{3,6},{4,7}}=>{{1,4},{2,5},{3,7},{6}}
[5,6,3,1,4,2,7]=>[5,6,3,7,4,1,2]=>{{1,5},{2,6},{3},{4,7}}=>{{1,4},{2,6},{3,7},{5}}
[5,6,3,1,4,7,2]=>[5,3,6,7,4,1,2]=>{{1,5},{2,3,6},{4,7}}=>{{1,4},{2,5,6},{3,7}}
[5,6,3,1,7,2,4]=>[5,6,1,7,3,2,4]=>{{1,5},{2,6},{3},{4,7}}=>{{1,4},{2,6},{3,7},{5}}
[5,6,3,1,7,4,2]=>[5,3,1,6,4,2,7]=>{{1,5},{2,3},{4,6},{7}}=>{{1},{2,4},{3,7},{5,6}}
[5,6,3,2,1,4,7]=>[5,6,7,3,2,1,4]=>{{1,5},{2,6},{3,7},{4}}=>{{1,5},{2,6},{3,7},{4}}
[5,6,3,2,1,7,4]=>[5,3,6,4,2,1,7]=>{{1,5},{2,3,6},{4},{7}}=>{{1},{2,5,6},{3,7},{4}}
[5,6,3,2,4,1,7]=>[5,6,3,7,2,1,4]=>{{1,5},{2,6},{3},{4,7}}=>{{1,4},{2,6},{3,7},{5}}
[5,6,3,2,4,7,1]=>[5,3,6,7,2,1,4]=>{{1,5},{2,3,6},{4,7}}=>{{1,4},{2,5,6},{3,7}}
[5,6,3,2,7,1,4]=>[5,6,3,4,2,1,7]=>{{1,5},{2,6},{3},{4},{7}}=>{{1},{2,6},{3,7},{4},{5}}
[5,6,3,2,7,4,1]=>[5,3,2,6,4,1,7]=>{{1,5},{2,3},{4,6},{7}}=>{{1},{2,4},{3,7},{5,6}}
[5,6,3,4,1,2,7]=>[5,6,7,3,4,1,2]=>{{1,5},{2,6},{3,7},{4}}=>{{1,5},{2,6},{3,7},{4}}
[5,6,3,4,1,7,2]=>[5,3,6,4,7,1,2]=>{{1,5,7},{2,3,6},{4}}=>{{1,3,7},{2,5,6},{4}}
[5,6,3,4,2,1,7]=>[5,6,3,2,7,1,4]=>{{1,5,7},{2,6},{3},{4}}=>{{1,3,7},{2,6},{4},{5}}
[5,6,3,4,2,7,1]=>[5,3,6,2,7,1,4]=>{{1,5,7},{2,3,6},{4}}=>{{1,3,7},{2,5,6},{4}}
[5,6,3,4,7,1,2]=>[5,6,3,4,7,1,2]=>{{1,5,7},{2,6},{3},{4}}=>{{1,3,7},{2,6},{4},{5}}
[5,6,3,4,7,2,1]=>[5,3,2,6,7,1,4]=>{{1,5,7},{2,3},{4,6}}=>{{1,3,7},{2,4},{5,6}}
[5,6,3,7,1,2,4]=>[5,6,7,1,3,2,4]=>{{1,5},{2,6},{3,7},{4}}=>{{1,5},{2,6},{3,7},{4}}
[5,6,3,7,1,4,2]=>[5,3,6,1,4,2,7]=>{{1,5},{2,3,6},{4},{7}}=>{{1},{2,5,6},{3,7},{4}}
[5,6,3,7,2,1,4]=>[5,6,3,2,4,1,7]=>{{1,5},{2,6},{3},{4},{7}}=>{{1},{2,6},{3,7},{4},{5}}
[5,6,3,7,2,4,1]=>[5,3,6,2,4,1,7]=>{{1,5},{2,3,6},{4},{7}}=>{{1},{2,5,6},{3,7},{4}}
[5,6,3,7,4,1,2]=>[5,6,3,1,4,2,7]=>{{1,5},{2,6},{3},{4},{7}}=>{{1},{2,6},{3,7},{4},{5}}
[5,6,3,7,4,2,1]=>[5,3,2,1,6,4,7]=>{{1,5,6},{2,3},{4},{7}}=>{{1},{2,3,7},{4},{5,6}}
[5,6,4,1,2,3,7]=>[1,5,6,7,4,2,3]=>{{1},{2,5},{3,6},{4,7}}=>{{1,4},{2,5},{3,6},{7}}
[5,6,4,1,2,7,3]=>[5,1,6,7,4,2,3]=>{{1,5},{2},{3,6},{4,7}}=>{{1,4},{2,5},{3,7},{6}}
[5,6,4,1,3,2,7]=>[5,6,4,7,3,1,2]=>{{1,5},{2,6},{3,4,7}}=>{{1,4,5},{2,6},{3,7}}
[5,6,4,1,3,7,2]=>[5,4,6,7,3,1,2]=>{{1,5},{2,4,7},{3,6}}=>{{1,4,6},{2,5},{3,7}}
[5,6,4,1,7,2,3]=>[5,6,1,7,4,2,3]=>{{1,5},{2,6},{3},{4,7}}=>{{1,4},{2,6},{3,7},{5}}
[5,6,4,1,7,3,2]=>[5,4,1,6,3,2,7]=>{{1,5},{2,4,6},{3},{7}}=>{{1},{2,4,6},{3,7},{5}}
[5,6,4,2,1,3,7]=>[5,6,7,4,2,1,3]=>{{1,5},{2,6},{3,7},{4}}=>{{1,5},{2,6},{3,7},{4}}
[5,6,4,2,1,7,3]=>[5,2,6,4,3,1,7]=>{{1,5},{2},{3,6},{4},{7}}=>{{1},{2,5},{3,7},{4},{6}}
[5,6,4,2,3,1,7]=>[5,6,4,7,2,1,3]=>{{1,5},{2,6},{3,4,7}}=>{{1,4,5},{2,6},{3,7}}
[5,6,4,2,3,7,1]=>[5,4,6,7,2,1,3]=>{{1,5},{2,4,7},{3,6}}=>{{1,4,6},{2,5},{3,7}}
[5,6,4,2,7,1,3]=>[5,6,2,4,3,1,7]=>{{1,5},{2,6},{3},{4},{7}}=>{{1},{2,6},{3,7},{4},{5}}
[5,6,4,2,7,3,1]=>[5,4,2,6,3,1,7]=>{{1,5},{2,4,6},{3},{7}}=>{{1},{2,4,6},{3,7},{5}}
[5,6,4,3,1,2,7]=>[5,6,7,4,3,1,2]=>{{1,5},{2,6},{3,7},{4}}=>{{1,5},{2,6},{3,7},{4}}
[5,6,4,3,1,7,2]=>[5,1,6,4,3,2,7]=>{{1,5},{2},{3,6},{4},{7}}=>{{1},{2,5},{3,7},{4},{6}}
[5,6,4,3,2,1,7]=>[5,6,4,3,2,1,7]=>{{1,5},{2,6},{3,4},{7}}=>{{1},{2,6},{3,7},{4,5}}
[5,6,4,3,2,7,1]=>[5,4,6,3,2,1,7]=>{{1,5},{2,4},{3,6},{7}}=>{{1},{2,5},{3,7},{4,6}}
[5,6,4,3,7,1,2]=>[5,6,1,4,3,2,7]=>{{1,5},{2,6},{3},{4},{7}}=>{{1},{2,6},{3,7},{4},{5}}
[5,6,4,3,7,2,1]=>[5,4,3,6,2,1,7]=>{{1,5},{2,4,6},{3},{7}}=>{{1},{2,4,6},{3,7},{5}}
[5,6,4,7,1,2,3]=>[5,6,7,1,4,2,3]=>{{1,5},{2,6},{3,7},{4}}=>{{1,5},{2,6},{3,7},{4}}
[5,6,4,7,1,3,2]=>[5,4,6,1,3,2,7]=>{{1,5},{2,4},{3,6},{7}}=>{{1},{2,5},{3,7},{4,6}}
[5,6,4,7,2,1,3]=>[5,6,4,2,3,1,7]=>{{1,5},{2,6},{3,4},{7}}=>{{1},{2,6},{3,7},{4,5}}
[5,6,4,7,2,3,1]=>[5,4,6,2,3,1,7]=>{{1,5},{2,4},{3,6},{7}}=>{{1},{2,5},{3,7},{4,6}}
[5,6,4,7,3,1,2]=>[5,6,4,1,3,2,7]=>{{1,5},{2,6},{3,4},{7}}=>{{1},{2,6},{3,7},{4,5}}
[5,6,4,7,3,2,1]=>[5,4,3,2,6,1,7]=>{{1,5,6},{2,4},{3},{7}}=>{{1},{2,3,7},{4,6},{5}}
[5,6,7,1,2,3,4]=>[1,5,6,7,2,3,4]=>{{1},{2,5},{3,6},{4,7}}=>{{1,4},{2,5},{3,6},{7}}
[5,6,7,1,2,4,3]=>[5,4,6,7,1,2,3]=>{{1,5},{2,4,7},{3,6}}=>{{1,4,6},{2,5},{3,7}}
[5,6,7,1,3,2,4]=>[5,6,3,7,1,2,4]=>{{1,5},{2,6},{3},{4,7}}=>{{1,4},{2,6},{3,7},{5}}
[5,6,7,1,3,4,2]=>[5,3,6,7,1,2,4]=>{{1,5},{2,3,6},{4,7}}=>{{1,4},{2,5,6},{3,7}}
[5,6,7,1,4,2,3]=>[5,6,4,7,1,2,3]=>{{1,5},{2,6},{3,4,7}}=>{{1,4,5},{2,6},{3,7}}
[5,6,7,1,4,3,2]=>[5,4,3,6,1,2,7]=>{{1,5},{2,4,6},{3},{7}}=>{{1},{2,4,6},{3,7},{5}}
[5,6,7,2,1,3,4]=>[5,6,7,2,1,3,4]=>{{1,5},{2,6},{3,7},{4}}=>{{1,5},{2,6},{3,7},{4}}
[5,6,7,2,1,4,3]=>[5,2,6,4,1,3,7]=>{{1,5},{2},{3,6},{4},{7}}=>{{1},{2,5},{3,7},{4},{6}}
[5,6,7,2,3,1,4]=>[5,6,2,7,1,3,4]=>{{1,5},{2,6},{3},{4,7}}=>{{1,4},{2,6},{3,7},{5}}
[5,6,7,2,3,4,1]=>[5,2,6,7,1,3,4]=>{{1,5},{2},{3,6},{4,7}}=>{{1,4},{2,5},{3,7},{6}}
[5,6,7,2,4,1,3]=>[5,6,2,4,1,3,7]=>{{1,5},{2,6},{3},{4},{7}}=>{{1},{2,6},{3,7},{4},{5}}
[5,6,7,2,4,3,1]=>[5,4,2,6,1,3,7]=>{{1,5},{2,4,6},{3},{7}}=>{{1},{2,4,6},{3,7},{5}}
[5,6,7,3,1,2,4]=>[5,6,7,3,1,2,4]=>{{1,5},{2,6},{3,7},{4}}=>{{1,5},{2,6},{3,7},{4}}
[5,6,7,3,1,4,2]=>[5,3,6,4,1,2,7]=>{{1,5},{2,3,6},{4},{7}}=>{{1},{2,5,6},{3,7},{4}}
[5,6,7,3,2,1,4]=>[5,6,3,2,1,4,7]=>{{1,5},{2,6},{3},{4},{7}}=>{{1},{2,6},{3,7},{4},{5}}
[5,6,7,3,2,4,1]=>[5,3,6,2,1,4,7]=>{{1,5},{2,3,6},{4},{7}}=>{{1},{2,5,6},{3,7},{4}}
[5,6,7,3,4,1,2]=>[5,6,3,4,1,2,7]=>{{1,5},{2,6},{3},{4},{7}}=>{{1},{2,6},{3,7},{4},{5}}
[5,6,7,3,4,2,1]=>[5,3,2,6,1,4,7]=>{{1,5},{2,3},{4,6},{7}}=>{{1},{2,4},{3,7},{5,6}}
[5,6,7,4,1,2,3]=>[5,6,7,4,1,2,3]=>{{1,5},{2,6},{3,7},{4}}=>{{1,5},{2,6},{3,7},{4}}
[5,6,7,4,1,3,2]=>[5,4,6,3,1,2,7]=>{{1,5},{2,4},{3,6},{7}}=>{{1},{2,5},{3,7},{4,6}}
[5,6,7,4,2,1,3]=>[5,6,4,2,1,3,7]=>{{1,5},{2,6},{3,4},{7}}=>{{1},{2,6},{3,7},{4,5}}
[5,6,7,4,2,3,1]=>[5,4,6,2,1,3,7]=>{{1,5},{2,4},{3,6},{7}}=>{{1},{2,5},{3,7},{4,6}}
[5,6,7,4,3,1,2]=>[5,6,4,3,1,2,7]=>{{1,5},{2,6},{3,4},{7}}=>{{1},{2,6},{3,7},{4,5}}
[5,6,7,4,3,2,1]=>[5,4,3,2,1,6,7]=>{{1,5},{2,4},{3},{6},{7}}=>{{1},{2},{3,7},{4,6},{5}}
[5,7,1,2,3,4,6]=>[1,2,3,5,7,4,6]=>{{1},{2},{3},{4,5,7},{6}}=>{{1,3,4},{2},{5},{6},{7}}
[5,7,1,2,3,6,4]=>[7,1,2,5,6,3,4]=>{{1,7},{2},{3},{4,5,6}}=>{{1,7},{2,3,4},{5},{6}}
[5,7,1,2,4,3,6]=>[1,5,2,4,7,3,6]=>{{1},{2,5,7},{3},{4},{6}}=>{{1,3,6},{2},{4},{5},{7}}
[5,7,1,2,4,6,3]=>[5,1,2,4,7,3,6]=>{{1,5,7},{2},{3},{4},{6}}=>{{1,3,7},{2},{4},{5},{6}}
[5,7,1,2,6,3,4]=>[1,7,2,5,6,3,4]=>{{1},{2,7},{3},{4,5,6}}=>{{1,6},{2,3,4},{5},{7}}
[5,7,1,2,6,4,3]=>[7,5,1,4,6,2,3]=>{{1,7},{2,5,6},{3},{4}}=>{{1,7},{2,3,6},{4},{5}}
[5,7,1,3,2,4,6]=>[1,3,5,4,7,2,6]=>{{1},{2,3,5,7},{4},{6}}=>{{1,3,5,6},{2},{4},{7}}
[5,7,1,3,2,6,4]=>[5,1,7,3,6,2,4]=>{{1,5,6},{2},{3,7},{4}}=>{{1,5},{2,3,7},{4},{6}}
[5,7,1,3,4,2,6]=>[1,5,3,4,7,2,6]=>{{1},{2,5,7},{3},{4},{6}}=>{{1,3,6},{2},{4},{5},{7}}
[5,7,1,3,4,6,2]=>[5,1,3,4,7,2,6]=>{{1,5,7},{2},{3},{4},{6}}=>{{1,3,7},{2},{4},{5},{6}}
[5,7,1,3,6,2,4]=>[5,7,1,3,6,2,4]=>{{1,5,6},{2,7},{3},{4}}=>{{1,6},{2,3,7},{4},{5}}
[5,7,1,3,6,4,2]=>[7,5,1,3,6,2,4]=>{{1,7},{2,5,6},{3},{4}}=>{{1,7},{2,3,6},{4},{5}}
[5,7,1,4,2,3,6]=>[1,2,5,4,7,3,6]=>{{1},{2},{3,5,7},{4},{6}}=>{{1,3,5},{2},{4},{6},{7}}
[5,7,1,4,2,6,3]=>[5,1,7,4,6,2,3]=>{{1,5,6},{2},{3,7},{4}}=>{{1,5},{2,3,7},{4},{6}}
[5,7,1,4,3,2,6]=>[1,5,4,3,7,2,6]=>{{1},{2,5,7},{3,4},{6}}=>{{1,3,6},{2},{4,5},{7}}
[5,7,1,4,3,6,2]=>[5,1,4,3,7,2,6]=>{{1,5,7},{2},{3,4},{6}}=>{{1,3,7},{2},{4,5},{6}}
[5,7,1,4,6,2,3]=>[5,7,1,4,6,2,3]=>{{1,5,6},{2,7},{3},{4}}=>{{1,6},{2,3,7},{4},{5}}
[5,7,1,4,6,3,2]=>[5,4,1,3,7,2,6]=>{{1,5,7},{2,4},{3},{6}}=>{{1,3,7},{2},{4,6},{5}}
[5,7,1,6,2,3,4]=>[1,2,7,5,6,3,4]=>{{1},{2},{3,7},{4,5,6}}=>{{1,5},{2,3,4},{6},{7}}
[5,7,1,6,2,4,3]=>[7,1,5,4,6,2,3]=>{{1,7},{2},{3,5,6},{4}}=>{{1,7},{2,3,5},{4},{6}}
[5,7,1,6,3,2,4]=>[1,7,5,3,6,2,4]=>{{1},{2,7},{3,5,6},{4}}=>{{1,6},{2,3,5},{4},{7}}
[5,7,1,6,3,4,2]=>[7,1,5,3,6,2,4]=>{{1,7},{2},{3,5,6},{4}}=>{{1,7},{2,3,5},{4},{6}}
[5,7,1,6,4,2,3]=>[1,7,5,4,6,2,3]=>{{1},{2,7},{3,5,6},{4}}=>{{1,6},{2,3,5},{4},{7}}
[5,7,1,6,4,3,2]=>[7,5,4,3,6,1,2]=>{{1,7},{2,5,6},{3,4}}=>{{1,7},{2,3,6},{4,5}}
[5,7,2,1,3,4,6]=>[2,3,5,7,4,1,6]=>{{1,2,3,5},{4,7},{6}}=>{{1,4},{2},{3,5,6,7}}
[5,7,2,1,3,6,4]=>[5,2,3,7,6,1,4]=>{{1,5,6},{2},{3},{4,7}}=>{{1,4},{2,3,7},{5},{6}}
[5,7,2,1,4,3,6]=>[2,5,4,7,6,1,3]=>{{1,2,5,6},{3,4,7}}=>{{1,4,5},{2,3,6,7}}
[5,7,2,1,4,6,3]=>[5,2,4,7,6,1,3]=>{{1,5,6},{2},{3,4,7}}=>{{1,4,5},{2,3,7},{6}}
[5,7,2,1,6,3,4]=>[2,5,3,7,6,1,4]=>{{1,2,5,6},{3},{4,7}}=>{{1,4},{2,3,6,7},{5}}
[5,7,2,1,6,4,3]=>[7,5,2,6,4,1,3]=>{{1,7},{2,5},{3},{4,6}}=>{{1,7},{2,4},{3,6},{5}}
[5,7,2,3,1,4,6]=>[2,3,5,4,7,1,6]=>{{1,2,3,5,7},{4},{6}}=>{{1,3,5,6,7},{2},{4}}
[5,7,2,3,1,6,4]=>[5,2,7,3,6,1,4]=>{{1,5,6},{2},{3,7},{4}}=>{{1,5},{2,3,7},{4},{6}}
[5,7,2,3,4,1,6]=>[2,5,3,4,7,1,6]=>{{1,2,5,7},{3},{4},{6}}=>{{1,3,6,7},{2},{4},{5}}
[5,7,2,3,4,6,1]=>[5,2,3,4,7,1,6]=>{{1,5,7},{2},{3},{4},{6}}=>{{1,3,7},{2},{4},{5},{6}}
[5,7,2,3,6,1,4]=>[5,7,2,3,6,1,4]=>{{1,5,6},{2,7},{3},{4}}=>{{1,6},{2,3,7},{4},{5}}
[5,7,2,3,6,4,1]=>[7,5,2,3,6,1,4]=>{{1,7},{2,5,6},{3},{4}}=>{{1,7},{2,3,6},{4},{5}}
[5,7,2,4,1,3,6]=>[2,5,7,4,6,1,3]=>{{1,2,5,6},{3,7},{4}}=>{{1,5},{2,3,6,7},{4}}
[5,7,2,4,1,6,3]=>[5,2,7,4,6,1,3]=>{{1,5,6},{2},{3,7},{4}}=>{{1,5},{2,3,7},{4},{6}}
[5,7,2,4,3,1,6]=>[2,5,4,3,7,1,6]=>{{1,2,5,7},{3,4},{6}}=>{{1,3,6,7},{2},{4,5}}
[5,7,2,4,3,6,1]=>[5,2,4,3,7,1,6]=>{{1,5,7},{2},{3,4},{6}}=>{{1,3,7},{2},{4,5},{6}}
[5,7,2,4,6,1,3]=>[5,7,2,4,6,1,3]=>{{1,5,6},{2,7},{3},{4}}=>{{1,6},{2,3,7},{4},{5}}
[5,7,2,4,6,3,1]=>[5,4,2,3,7,1,6]=>{{1,5,7},{2,4},{3},{6}}=>{{1,3,7},{2},{4,6},{5}}
[5,7,2,6,1,3,4]=>[2,5,7,3,6,1,4]=>{{1,2,5,6},{3,7},{4}}=>{{1,5},{2,3,6,7},{4}}
[5,7,2,6,1,4,3]=>[7,5,6,2,4,1,3]=>{{1,7},{2,5},{3,6},{4}}=>{{1,7},{2,5},{3,6},{4}}
[5,7,2,6,3,1,4]=>[2,7,5,3,6,1,4]=>{{1,2,7},{3,5,6},{4}}=>{{1,6,7},{2,3,5},{4}}
[5,7,2,6,3,4,1]=>[7,2,5,3,6,1,4]=>{{1,7},{2},{3,5,6},{4}}=>{{1,7},{2,3,5},{4},{6}}
[5,7,2,6,4,1,3]=>[5,7,6,2,4,1,3]=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}
[5,7,2,6,4,3,1]=>[7,5,4,2,6,1,3]=>{{1,7},{2,5,6},{3,4}}=>{{1,7},{2,3,6},{4,5}}
[5,7,3,1,2,4,6]=>[1,3,5,7,4,2,6]=>{{1},{2,3,5},{4,7},{6}}=>{{1,4},{2},{3,5,6},{7}}
[5,7,3,1,2,6,4]=>[5,1,3,7,6,2,4]=>{{1,5,6},{2},{3},{4,7}}=>{{1,4},{2,3,7},{5},{6}}
[5,7,3,1,4,2,6]=>[3,5,4,7,6,1,2]=>{{1,3,4,7},{2,5,6}}=>{{1,4,5,7},{2,3,6}}
[5,7,3,1,4,6,2]=>[5,3,4,7,6,1,2]=>{{1,5,6},{2,3,4,7}}=>{{1,4,5,6},{2,3,7}}
[5,7,3,1,6,2,4]=>[1,5,3,7,6,2,4]=>{{1},{2,5,6},{3},{4,7}}=>{{1,4},{2,3,6},{5},{7}}
[5,7,3,1,6,4,2]=>[7,5,3,6,4,1,2]=>{{1,7},{2,5},{3},{4,6}}=>{{1,7},{2,4},{3,6},{5}}
[5,7,3,2,1,4,6]=>[3,5,7,4,2,1,6]=>{{1,3,7},{2,5},{4},{6}}=>{{1,5,7},{2},{3,6},{4}}
[5,7,3,2,1,6,4]=>[5,3,7,6,2,1,4]=>{{1,5},{2,3,7},{4,6}}=>{{1,5,6},{2,4},{3,7}}
[5,7,3,2,4,1,6]=>[3,5,4,7,2,1,6]=>{{1,3,4,7},{2,5},{6}}=>{{1,4,5,7},{2},{3,6}}
[5,7,3,2,4,6,1]=>[5,3,4,7,2,1,6]=>{{1,5},{2,3,4,7},{6}}=>{{1,4,5,6},{2},{3,7}}
[5,7,3,2,6,1,4]=>[5,7,3,6,2,1,4]=>{{1,5},{2,7},{3},{4,6}}=>{{1,6},{2,4},{3,7},{5}}
[5,7,3,2,6,4,1]=>[5,3,2,7,6,1,4]=>{{1,5,6},{2,3},{4,7}}=>{{1,4},{2,3,7},{5,6}}
[5,7,3,4,1,2,6]=>[3,5,7,4,6,1,2]=>{{1,3,7},{2,5,6},{4}}=>{{1,5,7},{2,3,6},{4}}
[5,7,3,4,1,6,2]=>[5,3,7,4,6,1,2]=>{{1,5,6},{2,3,7},{4}}=>{{1,5,6},{2,3,7},{4}}
[5,7,3,4,2,1,6]=>[3,5,4,2,7,1,6]=>{{1,3,4},{2,5,7},{6}}=>{{1,3,6},{2},{4,5,7}}
[5,7,3,4,2,6,1]=>[5,3,4,2,7,1,6]=>{{1,5,7},{2,3,4},{6}}=>{{1,3,7},{2},{4,5,6}}
[5,7,3,4,6,1,2]=>[5,7,3,4,6,1,2]=>{{1,5,6},{2,7},{3},{4}}=>{{1,6},{2,3,7},{4},{5}}
[5,7,3,4,6,2,1]=>[5,3,2,4,7,1,6]=>{{1,5,7},{2,3},{4},{6}}=>{{1,3,7},{2},{4},{5,6}}
[5,7,3,6,1,2,4]=>[1,5,7,3,6,2,4]=>{{1},{2,5,6},{3,7},{4}}=>{{1,5},{2,3,6},{4},{7}}
[5,7,3,6,1,4,2]=>[7,5,6,3,4,1,2]=>{{1,7},{2,5},{3,6},{4}}=>{{1,7},{2,5},{3,6},{4}}
[5,7,3,6,2,1,4]=>[5,7,3,2,6,1,4]=>{{1,5,6},{2,7},{3},{4}}=>{{1,6},{2,3,7},{4},{5}}
[5,7,3,6,2,4,1]=>[5,3,7,2,6,1,4]=>{{1,5,6},{2,3,7},{4}}=>{{1,5,6},{2,3,7},{4}}
[5,7,3,6,4,1,2]=>[5,7,6,3,4,1,2]=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}
[5,7,3,6,4,2,1]=>[7,5,3,2,6,1,4]=>{{1,7},{2,5,6},{3},{4}}=>{{1,7},{2,3,6},{4},{5}}
[5,7,4,1,2,3,6]=>[1,2,5,7,4,3,6]=>{{1},{2},{3,5},{4,7},{6}}=>{{1,4},{2},{3,5},{6},{7}}
[5,7,4,1,2,6,3]=>[5,1,4,7,6,2,3]=>{{1,5,6},{2},{3,4,7}}=>{{1,4,5},{2,3,7},{6}}
[5,7,4,1,3,2,6]=>[1,5,4,7,3,2,6]=>{{1},{2,5},{3,4,7},{6}}=>{{1,4,5},{2},{3,6},{7}}
[5,7,4,1,3,6,2]=>[5,1,4,7,3,2,6]=>{{1,5},{2},{3,4,7},{6}}=>{{1,4,5},{2},{3,7},{6}}
[5,7,4,1,6,2,3]=>[1,5,4,7,6,2,3]=>{{1},{2,5,6},{3,4,7}}=>{{1,4,5},{2,3,6},{7}}
[5,7,4,1,6,3,2]=>[5,4,3,7,6,1,2]=>{{1,5,6},{2,4,7},{3}}=>{{1,4,6},{2,3,7},{5}}
[5,7,4,2,1,3,6]=>[2,5,7,4,3,1,6]=>{{1,2,5},{3,7},{4},{6}}=>{{1,5},{2},{3,6,7},{4}}
[5,7,4,2,1,6,3]=>[5,4,7,6,2,1,3]=>{{1,5},{2,4,6},{3,7}}=>{{1,5},{2,4,6},{3,7}}
[5,7,4,2,3,1,6]=>[2,5,4,7,3,1,6]=>{{1,2,5},{3,4,7},{6}}=>{{1,4,5},{2},{3,6,7}}
[5,7,4,2,3,6,1]=>[5,2,4,7,3,1,6]=>{{1,5},{2},{3,4,7},{6}}=>{{1,4,5},{2},{3,7},{6}}
[5,7,4,2,6,1,3]=>[5,7,4,6,2,1,3]=>{{1,5},{2,7},{3,4,6}}=>{{1,6},{2,4,5},{3,7}}
[5,7,4,2,6,3,1]=>[5,4,2,7,6,1,3]=>{{1,5,6},{2,4,7},{3}}=>{{1,4,6},{2,3,7},{5}}
[5,7,4,3,1,2,6]=>[1,5,7,4,3,2,6]=>{{1},{2,5},{3,7},{4},{6}}=>{{1,5},{2},{3,6},{4},{7}}
[5,7,4,3,1,6,2]=>[5,4,7,6,3,1,2]=>{{1,5},{2,4,6},{3,7}}=>{{1,5},{2,4,6},{3,7}}
[5,7,4,3,2,1,6]=>[5,7,4,3,2,1,6]=>{{1,5},{2,7},{3,4},{6}}=>{{1,6},{2},{3,7},{4,5}}
[5,7,4,3,2,6,1]=>[5,4,7,3,2,1,6]=>{{1,5},{2,4},{3,7},{6}}=>{{1,5},{2},{3,7},{4,6}}
[5,7,4,3,6,1,2]=>[5,7,4,6,3,1,2]=>{{1,5},{2,7},{3,4,6}}=>{{1,6},{2,4,5},{3,7}}
[5,7,4,3,6,2,1]=>[5,4,3,7,2,1,6]=>{{1,5},{2,4,7},{3},{6}}=>{{1,4,6},{2},{3,7},{5}}
[5,7,4,6,1,2,3]=>[1,5,7,4,6,2,3]=>{{1},{2,5,6},{3,7},{4}}=>{{1,5},{2,3,6},{4},{7}}
[5,7,4,6,1,3,2]=>[5,4,7,3,6,1,2]=>{{1,5,6},{2,4},{3,7}}=>{{1,5},{2,3,7},{4,6}}
[5,7,4,6,2,1,3]=>[5,7,4,2,6,1,3]=>{{1,5,6},{2,7},{3,4}}=>{{1,6},{2,3,7},{4,5}}
[5,7,4,6,2,3,1]=>[5,4,7,2,6,1,3]=>{{1,5,6},{2,4},{3,7}}=>{{1,5},{2,3,7},{4,6}}
[5,7,4,6,3,1,2]=>[5,7,4,3,6,1,2]=>{{1,5,6},{2,7},{3,4}}=>{{1,6},{2,3,7},{4,5}}
[5,7,4,6,3,2,1]=>[5,4,3,2,7,1,6]=>{{1,5,7},{2,4},{3},{6}}=>{{1,3,7},{2},{4,6},{5}}
[5,7,6,1,2,3,4]=>[1,2,5,7,6,3,4]=>{{1},{2},{3,5,6},{4,7}}=>{{1,4},{2,3,5},{6},{7}}
[5,7,6,1,2,4,3]=>[7,1,5,6,4,2,3]=>{{1,7},{2},{3,5},{4,6}}=>{{1,7},{2,4},{3,5},{6}}
[5,7,6,1,3,2,4]=>[1,7,5,6,3,2,4]=>{{1},{2,7},{3,5},{4,6}}=>{{1,6},{2,4},{3,5},{7}}
[5,7,6,1,3,4,2]=>[7,1,5,6,3,2,4]=>{{1,7},{2},{3,5},{4,6}}=>{{1,7},{2,4},{3,5},{6}}
[5,7,6,1,4,2,3]=>[1,7,5,6,4,2,3]=>{{1},{2,7},{3,5},{4,6}}=>{{1,6},{2,4},{3,5},{7}}
[5,7,6,1,4,3,2]=>[7,5,4,6,3,1,2]=>{{1,7},{2,5},{3,4,6}}=>{{1,7},{2,4,5},{3,6}}
[5,7,6,2,1,3,4]=>[2,5,7,6,3,1,4]=>{{1,2,5},{3,7},{4,6}}=>{{1,5},{2,4},{3,6,7}}
[5,7,6,2,1,4,3]=>[5,2,7,6,4,1,3]=>{{1,5},{2},{3,7},{4,6}}=>{{1,5},{2,4},{3,7},{6}}
[5,7,6,2,3,1,4]=>[2,7,5,6,3,1,4]=>{{1,2,7},{3,5},{4,6}}=>{{1,6,7},{2,4},{3,5}}
[5,7,6,2,3,4,1]=>[7,2,5,6,3,1,4]=>{{1,7},{2},{3,5},{4,6}}=>{{1,7},{2,4},{3,5},{6}}
[5,7,6,2,4,1,3]=>[5,7,2,6,4,1,3]=>{{1,5},{2,7},{3},{4,6}}=>{{1,6},{2,4},{3,7},{5}}
[5,7,6,2,4,3,1]=>[7,5,4,6,2,1,3]=>{{1,7},{2,5},{3,4,6}}=>{{1,7},{2,4,5},{3,6}}
[5,7,6,3,1,2,4]=>[1,5,7,6,3,2,4]=>{{1},{2,5},{3,7},{4,6}}=>{{1,5},{2,4},{3,6},{7}}
[5,7,6,3,1,4,2]=>[5,3,7,6,4,1,2]=>{{1,5},{2,3,7},{4,6}}=>{{1,5,6},{2,4},{3,7}}
[5,7,6,3,2,1,4]=>[5,7,6,3,2,1,4]=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}
[5,7,6,3,2,4,1]=>[7,5,6,3,2,1,4]=>{{1,7},{2,5},{3,6},{4}}=>{{1,7},{2,5},{3,6},{4}}
[5,7,6,3,4,1,2]=>[5,7,3,6,4,1,2]=>{{1,5},{2,7},{3},{4,6}}=>{{1,6},{2,4},{3,7},{5}}
[5,7,6,3,4,2,1]=>[7,5,3,6,2,1,4]=>{{1,7},{2,5},{3},{4,6}}=>{{1,7},{2,4},{3,6},{5}}
[5,7,6,4,1,2,3]=>[1,5,7,6,4,2,3]=>{{1},{2,5},{3,7},{4,6}}=>{{1,5},{2,4},{3,6},{7}}
[5,7,6,4,1,3,2]=>[7,5,6,4,3,1,2]=>{{1,7},{2,5},{3,6},{4}}=>{{1,7},{2,5},{3,6},{4}}
[5,7,6,4,2,1,3]=>[5,7,6,4,2,1,3]=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}
[5,7,6,4,2,3,1]=>[7,5,6,4,2,1,3]=>{{1,7},{2,5},{3,6},{4}}=>{{1,7},{2,5},{3,6},{4}}
[5,7,6,4,3,1,2]=>[5,7,6,4,3,1,2]=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}
[5,7,6,4,3,2,1]=>[7,5,4,3,2,1,6]=>{{1,7},{2,5},{3,4},{6}}=>{{1,7},{2},{3,6},{4,5}}
[6,1,2,3,4,5,7]=>[1,2,3,4,6,7,5]=>{{1},{2},{3},{4},{5,6,7}}=>{{1,2,3},{4},{5},{6},{7}}
[6,1,2,3,4,7,5]=>[6,1,2,3,4,7,5]=>{{1,6,7},{2},{3},{4},{5}}=>{{1,2,7},{3},{4},{5},{6}}
[6,1,2,3,5,4,7]=>[1,6,2,3,5,7,4]=>{{1},{2,6,7},{3},{4},{5}}=>{{1,2,6},{3},{4},{5},{7}}
[6,1,2,3,5,7,4]=>[6,1,2,3,5,7,4]=>{{1,6,7},{2},{3},{4},{5}}=>{{1,2,7},{3},{4},{5},{6}}
[6,1,2,3,7,4,5]=>[1,6,2,3,4,7,5]=>{{1},{2,6,7},{3},{4},{5}}=>{{1,2,6},{3},{4},{5},{7}}
[6,1,2,3,7,5,4]=>[6,5,1,2,3,7,4]=>{{1,6,7},{2,5},{3},{4}}=>{{1,2,7},{3,6},{4},{5}}
[6,1,2,4,3,5,7]=>[1,2,6,4,5,7,3]=>{{1},{2},{3,6,7},{4},{5}}=>{{1,2,5},{3},{4},{6},{7}}
[6,1,2,4,3,7,5]=>[6,1,7,2,4,5,3]=>{{1,6},{2},{3,7},{4},{5}}=>{{1,5},{2,7},{3},{4},{6}}
[6,1,2,4,5,3,7]=>[1,6,2,4,5,7,3]=>{{1},{2,6,7},{3},{4},{5}}=>{{1,2,6},{3},{4},{5},{7}}
[6,1,2,4,5,7,3]=>[6,1,2,4,5,7,3]=>{{1,6,7},{2},{3},{4},{5}}=>{{1,2,7},{3},{4},{5},{6}}
[6,1,2,4,7,3,5]=>[6,7,1,2,4,5,3]=>{{1,6},{2,7},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}
[6,1,2,4,7,5,3]=>[6,4,1,2,3,7,5]=>{{1,6,7},{2,4},{3},{5}}=>{{1,2,7},{3},{4,6},{5}}
[6,1,2,5,3,4,7]=>[1,2,6,3,5,7,4]=>{{1},{2},{3,6,7},{4},{5}}=>{{1,2,5},{3},{4},{6},{7}}
[6,1,2,5,3,7,4]=>[6,1,7,2,3,5,4]=>{{1,6},{2},{3,7},{4},{5}}=>{{1,5},{2,7},{3},{4},{6}}
[6,1,2,5,4,3,7]=>[1,6,5,2,4,7,3]=>{{1},{2,6,7},{3,5},{4}}=>{{1,2,6},{3,5},{4},{7}}
[6,1,2,5,4,7,3]=>[6,1,5,2,4,7,3]=>{{1,6,7},{2},{3,5},{4}}=>{{1,2,7},{3,5},{4},{6}}
[6,1,2,5,7,3,4]=>[6,7,1,2,3,5,4]=>{{1,6},{2,7},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}
[6,1,2,5,7,4,3]=>[6,5,1,2,4,7,3]=>{{1,6,7},{2,5},{3},{4}}=>{{1,2,7},{3,6},{4},{5}}
[6,1,2,7,3,4,5]=>[1,2,6,3,4,7,5]=>{{1},{2},{3,6,7},{4},{5}}=>{{1,2,5},{3},{4},{6},{7}}
[6,1,2,7,3,5,4]=>[6,1,5,2,3,7,4]=>{{1,6,7},{2},{3,5},{4}}=>{{1,2,7},{3,5},{4},{6}}
[6,1,2,7,4,3,5]=>[1,6,4,2,3,7,5]=>{{1},{2,6,7},{3,4},{5}}=>{{1,2,6},{3},{4,5},{7}}
[6,1,2,7,4,5,3]=>[6,1,4,2,3,7,5]=>{{1,6,7},{2},{3,4},{5}}=>{{1,2,7},{3},{4,5},{6}}
[6,1,2,7,5,3,4]=>[1,6,5,2,3,7,4]=>{{1},{2,6,7},{3,5},{4}}=>{{1,2,6},{3,5},{4},{7}}
[6,1,2,7,5,4,3]=>[6,5,4,1,2,7,3]=>{{1,6,7},{2,5},{3,4}}=>{{1,2,7},{3,6},{4,5}}
[6,1,3,2,4,5,7]=>[1,3,4,6,5,7,2]=>{{1},{2,3,4,6,7},{5}}=>{{1,2,4,5,6},{3},{7}}
[6,1,3,2,4,7,5]=>[6,1,3,7,4,5,2]=>{{1,6},{2},{3},{4,7},{5}}=>{{1,4},{2,7},{3},{5},{6}}
[6,1,3,2,5,4,7]=>[1,3,2,6,5,7,4]=>{{1},{2,3},{4,6,7},{5}}=>{{1,2,4},{3},{5,6},{7}}
[6,1,3,2,5,7,4]=>[3,1,2,6,5,7,4]=>{{1,3},{2},{4,6,7},{5}}=>{{1,2,4},{3},{5,7},{6}}
[6,1,3,2,7,4,5]=>[1,6,3,7,4,5,2]=>{{1},{2,6},{3},{4,7},{5}}=>{{1,4},{2,6},{3},{5},{7}}
[6,1,3,2,7,5,4]=>[6,3,1,7,2,5,4]=>{{1,6},{2,3},{4,7},{5}}=>{{1,4},{2,7},{3},{5,6}}
[6,1,3,4,2,5,7]=>[1,3,6,4,5,7,2]=>{{1},{2,3,6,7},{4},{5}}=>{{1,2,5,6},{3},{4},{7}}
[6,1,3,4,2,7,5]=>[6,1,7,3,4,5,2]=>{{1,6},{2},{3,7},{4},{5}}=>{{1,5},{2,7},{3},{4},{6}}
[6,1,3,4,5,2,7]=>[1,6,3,4,5,7,2]=>{{1},{2,6,7},{3},{4},{5}}=>{{1,2,6},{3},{4},{5},{7}}
[6,1,3,4,5,7,2]=>[6,1,3,4,5,7,2]=>{{1,6,7},{2},{3},{4},{5}}=>{{1,2,7},{3},{4},{5},{6}}
[6,1,3,4,7,2,5]=>[6,7,1,3,4,5,2]=>{{1,6},{2,7},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}
[6,1,3,4,7,5,2]=>[6,3,1,2,4,7,5]=>{{1,6,7},{2,3},{4},{5}}=>{{1,2,7},{3},{4},{5,6}}
[6,1,3,5,2,4,7]=>[1,3,6,2,5,7,4]=>{{1},{2,3,6,7},{4},{5}}=>{{1,2,5,6},{3},{4},{7}}
[6,1,3,5,2,7,4]=>[3,1,6,2,5,7,4]=>{{1,3,6,7},{2},{4},{5}}=>{{1,2,5,7},{3},{4},{6}}
[6,1,3,5,4,2,7]=>[1,6,5,3,4,7,2]=>{{1},{2,6,7},{3,5},{4}}=>{{1,2,6},{3,5},{4},{7}}
[6,1,3,5,4,7,2]=>[6,1,5,3,4,7,2]=>{{1,6,7},{2},{3,5},{4}}=>{{1,2,7},{3,5},{4},{6}}
[6,1,3,5,7,2,4]=>[3,6,1,2,5,7,4]=>{{1,3},{2,6,7},{4},{5}}=>{{1,2,6},{3},{4},{5,7}}
[6,1,3,5,7,4,2]=>[6,5,1,3,4,7,2]=>{{1,6,7},{2,5},{3},{4}}=>{{1,2,7},{3,6},{4},{5}}
[6,1,3,7,2,4,5]=>[1,6,7,3,4,5,2]=>{{1},{2,6},{3,7},{4},{5}}=>{{1,5},{2,6},{3},{4},{7}}
[6,1,3,7,2,5,4]=>[6,3,7,1,2,5,4]=>{{1,6},{2,3,7},{4},{5}}=>{{1,5,6},{2,7},{3},{4}}
[6,1,3,7,4,2,5]=>[1,6,3,2,4,7,5]=>{{1},{2,6,7},{3},{4},{5}}=>{{1,2,6},{3},{4},{5},{7}}
[6,1,3,7,4,5,2]=>[6,1,3,2,4,7,5]=>{{1,6,7},{2},{3},{4},{5}}=>{{1,2,7},{3},{4},{5},{6}}
[6,1,3,7,5,2,4]=>[6,7,3,1,2,5,4]=>{{1,6},{2,7},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}
[6,1,3,7,5,4,2]=>[6,5,3,1,2,7,4]=>{{1,6,7},{2,5},{3},{4}}=>{{1,2,7},{3,6},{4},{5}}
[6,1,4,2,3,5,7]=>[1,2,4,6,5,7,3]=>{{1},{2},{3,4,6,7},{5}}=>{{1,2,4,5},{3},{6},{7}}
[6,1,4,2,3,7,5]=>[6,1,2,7,4,5,3]=>{{1,6},{2},{3},{4,7},{5}}=>{{1,4},{2,7},{3},{5},{6}}
[6,1,4,2,5,3,7]=>[1,4,2,6,5,7,3]=>{{1},{2,4,6,7},{3},{5}}=>{{1,2,4,6},{3},{5},{7}}
[6,1,4,2,5,7,3]=>[4,1,2,6,5,7,3]=>{{1,4,6,7},{2},{3},{5}}=>{{1,2,4,7},{3},{5},{6}}
[6,1,4,2,7,3,5]=>[1,6,2,7,4,5,3]=>{{1},{2,6},{3},{4,7},{5}}=>{{1,4},{2,6},{3},{5},{7}}
[6,1,4,2,7,5,3]=>[6,4,1,7,2,5,3]=>{{1,6},{2,4,7},{3},{5}}=>{{1,4,6},{2,7},{3},{5}}
[6,1,4,3,2,5,7]=>[1,4,6,5,3,7,2]=>{{1},{2,4,5},{3,6,7}}=>{{1,2,5},{3,4,6},{7}}
[6,1,4,3,2,7,5]=>[6,1,7,4,3,5,2]=>{{1,6},{2},{3,7},{4},{5}}=>{{1,5},{2,7},{3},{4},{6}}
[6,1,4,3,5,2,7]=>[1,6,4,5,3,7,2]=>{{1},{2,6,7},{3,4,5}}=>{{1,2,6},{3,4,5},{7}}
[6,1,4,3,5,7,2]=>[6,1,4,5,3,7,2]=>{{1,6,7},{2},{3,4,5}}=>{{1,2,7},{3,4,5},{6}}
[6,1,4,3,7,2,5]=>[6,7,1,4,3,5,2]=>{{1,6},{2,7},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}
[6,1,4,3,7,5,2]=>[6,4,1,7,3,5,2]=>{{1,6},{2,4,7},{3},{5}}=>{{1,4,6},{2,7},{3},{5}}
[6,1,4,5,2,3,7]=>[1,4,6,2,5,7,3]=>{{1},{2,4},{3,6,7},{5}}=>{{1,2,5},{3},{4,6},{7}}
[6,1,4,5,2,7,3]=>[4,1,6,2,5,7,3]=>{{1,4},{2},{3,6,7},{5}}=>{{1,2,5},{3},{4,7},{6}}
[6,1,4,5,3,2,7]=>[1,6,4,3,5,7,2]=>{{1},{2,6,7},{3,4},{5}}=>{{1,2,6},{3},{4,5},{7}}
[6,1,4,5,3,7,2]=>[6,1,4,3,5,7,2]=>{{1,6,7},{2},{3,4},{5}}=>{{1,2,7},{3},{4,5},{6}}
[6,1,4,5,7,2,3]=>[4,6,1,2,5,7,3]=>{{1,4},{2,6,7},{3},{5}}=>{{1,2,6},{3},{4,7},{5}}
[6,1,4,5,7,3,2]=>[6,4,1,3,5,7,2]=>{{1,6,7},{2,4},{3},{5}}=>{{1,2,7},{3},{4,6},{5}}
[6,1,4,7,2,3,5]=>[1,6,7,2,4,5,3]=>{{1},{2,6},{3,7},{4},{5}}=>{{1,5},{2,6},{3},{4},{7}}
[6,1,4,7,2,5,3]=>[6,4,7,1,2,5,3]=>{{1,6},{2,4},{3,7},{5}}=>{{1,5},{2,7},{3},{4,6}}
[6,1,4,7,3,2,5]=>[6,7,4,1,3,5,2]=>{{1,6},{2,7},{3,4},{5}}=>{{1,6},{2,7},{3},{4,5}}
[6,1,4,7,3,5,2]=>[6,4,7,1,3,5,2]=>{{1,6},{2,4},{3,7},{5}}=>{{1,5},{2,7},{3},{4,6}}
[6,1,4,7,5,2,3]=>[6,7,4,1,2,5,3]=>{{1,6},{2,7},{3,4},{5}}=>{{1,6},{2,7},{3},{4,5}}
[6,1,4,7,5,3,2]=>[6,4,3,1,2,7,5]=>{{1,6,7},{2,4},{3},{5}}=>{{1,2,7},{3},{4,6},{5}}
[6,1,5,2,3,4,7]=>[1,2,3,6,5,7,4]=>{{1},{2},{3},{4,6,7},{5}}=>{{1,2,4},{3},{5},{6},{7}}
[6,1,5,2,3,7,4]=>[6,1,2,7,3,5,4]=>{{1,6},{2},{3},{4,7},{5}}=>{{1,4},{2,7},{3},{5},{6}}
[6,1,5,2,4,3,7]=>[1,6,2,5,4,7,3]=>{{1},{2,6,7},{3},{4,5}}=>{{1,2,6},{3,4},{5},{7}}
[6,1,5,2,4,7,3]=>[6,1,2,5,4,7,3]=>{{1,6,7},{2},{3},{4,5}}=>{{1,2,7},{3,4},{5},{6}}
[6,1,5,2,7,3,4]=>[1,6,2,7,3,5,4]=>{{1},{2,6},{3},{4,7},{5}}=>{{1,4},{2,6},{3},{5},{7}}
[6,1,5,2,7,4,3]=>[6,5,1,7,2,4,3]=>{{1,6},{2,5},{3},{4,7}}=>{{1,4},{2,7},{3,6},{5}}
[6,1,5,3,2,4,7]=>[1,3,6,5,4,7,2]=>{{1},{2,3,6,7},{4,5}}=>{{1,2,5,6},{3,4},{7}}
[6,1,5,3,2,7,4]=>[6,1,7,5,3,4,2]=>{{1,6},{2},{3,7},{4,5}}=>{{1,5},{2,7},{3,4},{6}}
[6,1,5,3,4,2,7]=>[1,6,3,5,4,7,2]=>{{1},{2,6,7},{3},{4,5}}=>{{1,2,6},{3,4},{5},{7}}
[6,1,5,3,4,7,2]=>[6,1,3,5,4,7,2]=>{{1,6,7},{2},{3},{4,5}}=>{{1,2,7},{3,4},{5},{6}}
[6,1,5,3,7,2,4]=>[6,7,1,5,3,4,2]=>{{1,6},{2,7},{3},{4,5}}=>{{1,6},{2,7},{3,4},{5}}
[6,1,5,3,7,4,2]=>[6,5,1,7,3,4,2]=>{{1,6},{2,5},{3},{4,7}}=>{{1,4},{2,7},{3,6},{5}}
[6,1,5,4,2,3,7]=>[1,2,6,5,4,7,3]=>{{1},{2},{3,6,7},{4,5}}=>{{1,2,5},{3,4},{6},{7}}
[6,1,5,4,2,7,3]=>[6,1,7,5,2,4,3]=>{{1,6},{2},{3,7},{4,5}}=>{{1,5},{2,7},{3,4},{6}}
[6,1,5,4,3,2,7]=>[1,6,5,4,3,7,2]=>{{1},{2,6,7},{3,5},{4}}=>{{1,2,6},{3,5},{4},{7}}
[6,1,5,4,3,7,2]=>[6,1,5,4,3,7,2]=>{{1,6,7},{2},{3,5},{4}}=>{{1,2,7},{3,5},{4},{6}}
[6,1,5,4,7,2,3]=>[6,7,1,5,2,4,3]=>{{1,6},{2,7},{3},{4,5}}=>{{1,6},{2,7},{3,4},{5}}
[6,1,5,4,7,3,2]=>[6,5,1,4,3,7,2]=>{{1,6,7},{2,5},{3},{4}}=>{{1,2,7},{3,6},{4},{5}}
[6,1,5,7,2,3,4]=>[1,6,7,2,3,5,4]=>{{1},{2,6},{3,7},{4},{5}}=>{{1,5},{2,6},{3},{4},{7}}
[6,1,5,7,2,4,3]=>[6,5,7,1,2,4,3]=>{{1,6},{2,5},{3,7},{4}}=>{{1,5},{2,7},{3,6},{4}}
[6,1,5,7,3,2,4]=>[6,7,5,1,3,4,2]=>{{1,6},{2,7},{3,5},{4}}=>{{1,6},{2,7},{3,5},{4}}
[6,1,5,7,3,4,2]=>[6,5,7,1,3,4,2]=>{{1,6},{2,5},{3,7},{4}}=>{{1,5},{2,7},{3,6},{4}}
[6,1,5,7,4,2,3]=>[6,7,5,1,2,4,3]=>{{1,6},{2,7},{3,5},{4}}=>{{1,6},{2,7},{3,5},{4}}
[6,1,5,7,4,3,2]=>[6,5,4,1,3,7,2]=>{{1,6,7},{2,5},{3,4}}=>{{1,2,7},{3,6},{4,5}}
[6,1,7,2,3,4,5]=>[1,2,3,6,4,7,5]=>{{1},{2},{3},{4,6,7},{5}}=>{{1,2,4},{3},{5},{6},{7}}
[6,1,7,2,3,5,4]=>[6,1,2,5,3,7,4]=>{{1,6,7},{2},{3},{4,5}}=>{{1,2,7},{3,4},{5},{6}}
[6,1,7,2,4,3,5]=>[1,6,2,4,3,7,5]=>{{1},{2,6,7},{3},{4},{5}}=>{{1,2,6},{3},{4},{5},{7}}
[6,1,7,2,4,5,3]=>[6,1,2,4,3,7,5]=>{{1,6,7},{2},{3},{4},{5}}=>{{1,2,7},{3},{4},{5},{6}}
[6,1,7,2,5,3,4]=>[1,6,2,5,3,7,4]=>{{1},{2,6,7},{3},{4,5}}=>{{1,2,6},{3,4},{5},{7}}
[6,1,7,2,5,4,3]=>[6,5,1,4,2,7,3]=>{{1,6,7},{2,5},{3},{4}}=>{{1,2,7},{3,6},{4},{5}}
[6,1,7,3,2,4,5]=>[1,3,6,4,2,7,5]=>{{1},{2,3,6,7},{4},{5}}=>{{1,2,5,6},{3},{4},{7}}
[6,1,7,3,2,5,4]=>[6,1,7,3,2,5,4]=>{{1,6},{2},{3,7},{4},{5}}=>{{1,5},{2,7},{3},{4},{6}}
[6,1,7,3,4,2,5]=>[1,6,3,4,2,7,5]=>{{1},{2,6,7},{3},{4},{5}}=>{{1,2,6},{3},{4},{5},{7}}
[6,1,7,3,4,5,2]=>[6,1,3,4,2,7,5]=>{{1,6,7},{2},{3},{4},{5}}=>{{1,2,7},{3},{4},{5},{6}}
[6,1,7,3,5,2,4]=>[6,7,1,3,2,5,4]=>{{1,6},{2,7},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}
[6,1,7,3,5,4,2]=>[6,5,1,3,2,7,4]=>{{1,6,7},{2,5},{3},{4}}=>{{1,2,7},{3,6},{4},{5}}
[6,1,7,4,2,3,5]=>[1,2,6,4,3,7,5]=>{{1},{2},{3,6,7},{4},{5}}=>{{1,2,5},{3},{4},{6},{7}}
[6,1,7,4,2,5,3]=>[6,1,7,4,2,5,3]=>{{1,6},{2},{3,7},{4},{5}}=>{{1,5},{2,7},{3},{4},{6}}
[6,1,7,4,3,2,5]=>[1,6,4,3,2,7,5]=>{{1},{2,6,7},{3,4},{5}}=>{{1,2,6},{3},{4,5},{7}}
[6,1,7,4,3,5,2]=>[6,1,4,3,2,7,5]=>{{1,6,7},{2},{3,4},{5}}=>{{1,2,7},{3},{4,5},{6}}
[6,1,7,4,5,2,3]=>[6,7,1,4,2,5,3]=>{{1,6},{2,7},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}
[6,1,7,4,5,3,2]=>[6,4,1,3,2,7,5]=>{{1,6,7},{2,4},{3},{5}}=>{{1,2,7},{3},{4,6},{5}}
[6,1,7,5,2,3,4]=>[1,2,6,5,3,7,4]=>{{1},{2},{3,6,7},{4,5}}=>{{1,2,5},{3,4},{6},{7}}
[6,1,7,5,2,4,3]=>[6,1,5,4,2,7,3]=>{{1,6,7},{2},{3,5},{4}}=>{{1,2,7},{3,5},{4},{6}}
[6,1,7,5,3,2,4]=>[1,6,5,3,2,7,4]=>{{1},{2,6,7},{3,5},{4}}=>{{1,2,6},{3,5},{4},{7}}
[6,1,7,5,3,4,2]=>[6,1,5,3,2,7,4]=>{{1,6,7},{2},{3,5},{4}}=>{{1,2,7},{3,5},{4},{6}}
[6,1,7,5,4,2,3]=>[1,6,5,4,2,7,3]=>{{1},{2,6,7},{3,5},{4}}=>{{1,2,6},{3,5},{4},{7}}
[6,1,7,5,4,3,2]=>[6,5,4,3,1,7,2]=>{{1,6,7},{2,5},{3,4}}=>{{1,2,7},{3,6},{4,5}}
[6,2,1,3,4,5,7]=>[2,3,4,6,7,5,1]=>{{1,2,3,4,6},{5,7}}=>{{1,3},{2,4,5,6,7}}
[6,2,1,3,4,7,5]=>[6,2,3,4,7,5,1]=>{{1,6},{2},{3},{4},{5,7}}=>{{1,3},{2,7},{4},{5},{6}}
[6,2,1,3,5,4,7]=>[2,3,1,6,7,5,4]=>{{1,2,3},{4,6},{5,7}}=>{{1,3},{2,4},{5,6,7}}
[6,2,1,3,5,7,4]=>[2,1,3,6,7,5,4]=>{{1,2},{3},{4,6},{5,7}}=>{{1,3},{2,4},{5},{6,7}}
[6,2,1,3,7,4,5]=>[2,6,3,4,7,5,1]=>{{1,2,6},{3},{4},{5,7}}=>{{1,3},{2,6,7},{4},{5}}
[6,2,1,3,7,5,4]=>[6,2,1,3,7,5,4]=>{{1,6},{2},{3},{4},{5,7}}=>{{1,3},{2,7},{4},{5},{6}}
[6,2,1,4,3,5,7]=>[2,4,6,1,7,5,3]=>{{1,2,4},{3,6},{5,7}}=>{{1,3},{2,5},{4,6,7}}
[6,2,1,4,3,7,5]=>[2,1,6,4,7,5,3]=>{{1,2},{3,6},{4},{5,7}}=>{{1,3},{2,5},{4},{6,7}}
[6,2,1,4,5,3,7]=>[2,4,1,6,7,5,3]=>{{1,2,4,6},{3},{5,7}}=>{{1,3},{2,4,6,7},{5}}
[6,2,1,4,5,7,3]=>[2,1,4,6,7,5,3]=>{{1,2},{3,4,6},{5,7}}=>{{1,3},{2,4,5},{6,7}}
[6,2,1,4,7,3,5]=>[2,6,1,4,7,5,3]=>{{1,2,6},{3},{4},{5,7}}=>{{1,3},{2,6,7},{4},{5}}
[6,2,1,4,7,5,3]=>[6,2,1,4,7,5,3]=>{{1,6},{2},{3},{4},{5,7}}=>{{1,3},{2,7},{4},{5},{6}}
[6,2,1,5,3,4,7]=>[2,3,6,1,7,5,4]=>{{1,2,3,6},{4},{5,7}}=>{{1,3},{2,5,6,7},{4}}
[6,2,1,5,3,7,4]=>[2,1,6,3,7,5,4]=>{{1,2},{3,6},{4},{5,7}}=>{{1,3},{2,5},{4},{6,7}}
[6,2,1,5,4,3,7]=>[2,6,5,1,7,4,3]=>{{1,2,6},{3,5,7},{4}}=>{{1,3,5},{2,6,7},{4}}
[6,2,1,5,4,7,3]=>[6,2,5,1,7,4,3]=>{{1,6},{2},{3,5,7},{4}}=>{{1,3,5},{2,7},{4},{6}}
[6,2,1,5,7,3,4]=>[2,6,1,3,7,5,4]=>{{1,2,6},{3},{4},{5,7}}=>{{1,3},{2,6,7},{4},{5}}
[6,2,1,5,7,4,3]=>[6,2,1,5,7,4,3]=>{{1,6},{2},{3},{4,5,7}}=>{{1,3,4},{2,7},{5},{6}}
[6,2,1,7,3,4,5]=>[2,3,6,4,7,5,1]=>{{1,2,3,6},{4},{5,7}}=>{{1,3},{2,5,6,7},{4}}
[6,2,1,7,3,5,4]=>[6,2,3,1,7,5,4]=>{{1,6},{2},{3},{4},{5,7}}=>{{1,3},{2,7},{4},{5},{6}}
[6,2,1,7,4,3,5]=>[2,6,4,1,7,5,3]=>{{1,2,6},{3,4},{5,7}}=>{{1,3},{2,6,7},{4,5}}
[6,2,1,7,4,5,3]=>[6,2,4,1,7,5,3]=>{{1,6},{2},{3,4},{5,7}}=>{{1,3},{2,7},{4,5},{6}}
[6,2,1,7,5,3,4]=>[2,6,3,1,7,5,4]=>{{1,2,6},{3},{4},{5,7}}=>{{1,3},{2,6,7},{4},{5}}
[6,2,1,7,5,4,3]=>[6,5,2,1,7,4,3]=>{{1,6},{2,5,7},{3},{4}}=>{{1,3,6},{2,7},{4},{5}}
[6,2,3,1,4,5,7]=>[2,3,4,6,5,7,1]=>{{1,2,3,4,6,7},{5}}=>{{1,2,4,5,6,7},{3}}
[6,2,3,1,4,7,5]=>[6,2,3,7,4,5,1]=>{{1,6},{2},{3},{4,7},{5}}=>{{1,4},{2,7},{3},{5},{6}}
[6,2,3,1,5,4,7]=>[2,3,1,6,5,7,4]=>{{1,2,3},{4,6,7},{5}}=>{{1,2,4},{3},{5,6,7}}
[6,2,3,1,5,7,4]=>[2,1,3,6,5,7,4]=>{{1,2},{3},{4,6,7},{5}}=>{{1,2,4},{3},{5},{6,7}}
[6,2,3,1,7,4,5]=>[2,6,3,7,4,5,1]=>{{1,2,6},{3},{4,7},{5}}=>{{1,4},{2,6,7},{3},{5}}
[6,2,3,1,7,5,4]=>[6,2,1,7,3,5,4]=>{{1,6},{2},{3},{4,7},{5}}=>{{1,4},{2,7},{3},{5},{6}}
[6,2,3,4,1,5,7]=>[2,3,6,4,5,7,1]=>{{1,2,3,6,7},{4},{5}}=>{{1,2,5,6,7},{3},{4}}
[6,2,3,4,1,7,5]=>[6,2,7,3,4,5,1]=>{{1,6},{2},{3,7},{4},{5}}=>{{1,5},{2,7},{3},{4},{6}}
[6,2,3,4,5,1,7]=>[2,6,3,4,5,7,1]=>{{1,2,6,7},{3},{4},{5}}=>{{1,2,6,7},{3},{4},{5}}
[6,2,3,4,5,7,1]=>[6,2,3,4,5,7,1]=>{{1,6,7},{2},{3},{4},{5}}=>{{1,2,7},{3},{4},{5},{6}}
[6,2,3,4,7,1,5]=>[6,7,2,3,4,5,1]=>{{1,6},{2,7},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}
[6,2,3,4,7,5,1]=>[6,2,1,3,4,7,5]=>{{1,6,7},{2},{3},{4},{5}}=>{{1,2,7},{3},{4},{5},{6}}
[6,2,3,5,1,4,7]=>[2,3,6,1,5,7,4]=>{{1,2,3,6,7},{4},{5}}=>{{1,2,5,6,7},{3},{4}}
[6,2,3,5,1,7,4]=>[2,1,6,3,5,7,4]=>{{1,2},{3,6,7},{4},{5}}=>{{1,2,5},{3},{4},{6,7}}
[6,2,3,5,4,1,7]=>[2,6,5,3,4,7,1]=>{{1,2,6,7},{3,5},{4}}=>{{1,2,6,7},{3,5},{4}}
[6,2,3,5,4,7,1]=>[6,2,5,3,4,7,1]=>{{1,6,7},{2},{3,5},{4}}=>{{1,2,7},{3,5},{4},{6}}
[6,2,3,5,7,1,4]=>[2,6,1,3,5,7,4]=>{{1,2,6,7},{3},{4},{5}}=>{{1,2,6,7},{3},{4},{5}}
[6,2,3,5,7,4,1]=>[6,5,2,3,4,7,1]=>{{1,6,7},{2,5},{3},{4}}=>{{1,2,7},{3,6},{4},{5}}
[6,2,3,7,1,4,5]=>[2,6,7,3,4,5,1]=>{{1,2,6},{3,7},{4},{5}}=>{{1,5},{2,6,7},{3},{4}}
[6,2,3,7,1,5,4]=>[6,2,7,1,3,5,4]=>{{1,6},{2},{3,7},{4},{5}}=>{{1,5},{2,7},{3},{4},{6}}
[6,2,3,7,4,1,5]=>[2,6,3,1,4,7,5]=>{{1,2,6,7},{3},{4},{5}}=>{{1,2,6,7},{3},{4},{5}}
[6,2,3,7,4,5,1]=>[6,2,3,1,4,7,5]=>{{1,6,7},{2},{3},{4},{5}}=>{{1,2,7},{3},{4},{5},{6}}
[6,2,3,7,5,1,4]=>[6,7,2,1,3,5,4]=>{{1,6},{2,7},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}
[6,2,3,7,5,4,1]=>[6,5,2,1,3,7,4]=>{{1,6,7},{2,5},{3},{4}}=>{{1,2,7},{3,6},{4},{5}}
[6,2,4,1,3,5,7]=>[2,4,6,7,1,5,3]=>{{1,2,4,7},{3,6},{5}}=>{{1,4,6,7},{2,5},{3}}
[6,2,4,1,3,7,5]=>[2,1,6,7,4,5,3]=>{{1,2},{3,6},{4,7},{5}}=>{{1,4},{2,5},{3},{6,7}}
[6,2,4,1,5,3,7]=>[2,4,1,6,5,7,3]=>{{1,2,4,6,7},{3},{5}}=>{{1,2,4,6,7},{3},{5}}
[6,2,4,1,5,7,3]=>[2,1,4,6,5,7,3]=>{{1,2},{3,4,6,7},{5}}=>{{1,2,4,5},{3},{6,7}}
[6,2,4,1,7,3,5]=>[2,6,1,7,4,5,3]=>{{1,2,6},{3},{4,7},{5}}=>{{1,4},{2,6,7},{3},{5}}
[6,2,4,1,7,5,3]=>[6,2,1,7,4,5,3]=>{{1,6},{2},{3},{4,7},{5}}=>{{1,4},{2,7},{3},{5},{6}}
[6,2,4,3,1,5,7]=>[2,4,6,5,3,7,1]=>{{1,2,4,5},{3,6,7}}=>{{1,2,5},{3,4,6,7}}
[6,2,4,3,1,7,5]=>[6,2,7,4,3,5,1]=>{{1,6},{2},{3,7},{4},{5}}=>{{1,5},{2,7},{3},{4},{6}}
[6,2,4,3,5,1,7]=>[2,6,4,5,3,7,1]=>{{1,2,6,7},{3,4,5}}=>{{1,2,6,7},{3,4,5}}
[6,2,4,3,5,7,1]=>[6,2,4,5,3,7,1]=>{{1,6,7},{2},{3,4,5}}=>{{1,2,7},{3,4,5},{6}}
[6,2,4,3,7,1,5]=>[6,7,2,4,3,5,1]=>{{1,6},{2,7},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}
[6,2,4,3,7,5,1]=>[6,4,2,7,3,5,1]=>{{1,6},{2,4,7},{3},{5}}=>{{1,4,6},{2,7},{3},{5}}
[6,2,4,5,1,3,7]=>[2,4,6,1,5,7,3]=>{{1,2,4},{3,6,7},{5}}=>{{1,2,5},{3},{4,6,7}}
[6,2,4,5,1,7,3]=>[2,1,6,4,5,7,3]=>{{1,2},{3,6,7},{4},{5}}=>{{1,2,5},{3},{4},{6,7}}
[6,2,4,5,3,1,7]=>[2,6,4,3,5,7,1]=>{{1,2,6,7},{3,4},{5}}=>{{1,2,6,7},{3},{4,5}}
[6,2,4,5,3,7,1]=>[6,2,4,3,5,7,1]=>{{1,6,7},{2},{3,4},{5}}=>{{1,2,7},{3},{4,5},{6}}
[6,2,4,5,7,1,3]=>[2,6,1,4,5,7,3]=>{{1,2,6,7},{3},{4},{5}}=>{{1,2,6,7},{3},{4},{5}}
[6,2,4,5,7,3,1]=>[6,4,2,3,5,7,1]=>{{1,6,7},{2,4},{3},{5}}=>{{1,2,7},{3},{4,6},{5}}
[6,2,4,7,1,3,5]=>[2,6,7,1,4,5,3]=>{{1,2,6},{3,7},{4},{5}}=>{{1,5},{2,6,7},{3},{4}}
[6,2,4,7,1,5,3]=>[6,2,7,1,4,5,3]=>{{1,6},{2},{3,7},{4},{5}}=>{{1,5},{2,7},{3},{4},{6}}
[6,2,4,7,3,1,5]=>[6,7,4,2,3,5,1]=>{{1,6},{2,7},{3,4},{5}}=>{{1,6},{2,7},{3},{4,5}}
[6,2,4,7,3,5,1]=>[6,4,7,2,3,5,1]=>{{1,6},{2,4},{3,7},{5}}=>{{1,5},{2,7},{3},{4,6}}
[6,2,4,7,5,1,3]=>[6,7,2,1,4,5,3]=>{{1,6},{2,7},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}
[6,2,4,7,5,3,1]=>[6,4,2,1,3,7,5]=>{{1,6,7},{2,4},{3},{5}}=>{{1,2,7},{3},{4,6},{5}}
[6,2,5,1,3,4,7]=>[2,3,6,7,1,5,4]=>{{1,2,3,6},{4,7},{5}}=>{{1,4},{2,5,6,7},{3}}
[6,2,5,1,3,7,4]=>[2,1,6,7,3,5,4]=>{{1,2},{3,6},{4,7},{5}}=>{{1,4},{2,5},{3},{6,7}}
[6,2,5,1,4,3,7]=>[2,6,5,7,1,4,3]=>{{1,2,6},{3,5},{4,7}}=>{{1,4},{2,6,7},{3,5}}
[6,2,5,1,4,7,3]=>[6,2,5,7,1,4,3]=>{{1,6},{2},{3,5},{4,7}}=>{{1,4},{2,7},{3,5},{6}}
[6,2,5,1,7,3,4]=>[2,6,1,7,3,5,4]=>{{1,2,6},{3},{4,7},{5}}=>{{1,4},{2,6,7},{3},{5}}
[6,2,5,1,7,4,3]=>[6,2,1,5,4,7,3]=>{{1,6,7},{2},{3},{4,5}}=>{{1,2,7},{3,4},{5},{6}}
[6,2,5,3,1,4,7]=>[2,3,6,5,4,7,1]=>{{1,2,3,6,7},{4,5}}=>{{1,2,5,6,7},{3,4}}
[6,2,5,3,1,7,4]=>[6,2,7,5,3,4,1]=>{{1,6},{2},{3,7},{4,5}}=>{{1,5},{2,7},{3,4},{6}}
[6,2,5,3,4,1,7]=>[2,6,3,5,4,7,1]=>{{1,2,6,7},{3},{4,5}}=>{{1,2,6,7},{3,4},{5}}
[6,2,5,3,4,7,1]=>[6,2,3,5,4,7,1]=>{{1,6,7},{2},{3},{4,5}}=>{{1,2,7},{3,4},{5},{6}}
[6,2,5,3,7,1,4]=>[6,7,2,5,3,4,1]=>{{1,6},{2,7},{3},{4,5}}=>{{1,6},{2,7},{3,4},{5}}
[6,2,5,3,7,4,1]=>[6,5,2,7,3,4,1]=>{{1,6},{2,5},{3},{4,7}}=>{{1,4},{2,7},{3,6},{5}}
[6,2,5,4,1,3,7]=>[2,6,7,5,1,4,3]=>{{1,2,6},{3,7},{4,5}}=>{{1,5},{2,6,7},{3,4}}
[6,2,5,4,1,7,3]=>[2,1,6,5,4,7,3]=>{{1,2},{3,6,7},{4,5}}=>{{1,2,5},{3,4},{6,7}}
[6,2,5,4,3,1,7]=>[2,6,5,4,3,7,1]=>{{1,2,6,7},{3,5},{4}}=>{{1,2,6,7},{3,5},{4}}
[6,2,5,4,3,7,1]=>[6,2,5,4,3,7,1]=>{{1,6,7},{2},{3,5},{4}}=>{{1,2,7},{3,5},{4},{6}}
[6,2,5,4,7,1,3]=>[2,6,1,5,4,7,3]=>{{1,2,6,7},{3},{4,5}}=>{{1,2,6,7},{3,4},{5}}
[6,2,5,4,7,3,1]=>[6,5,2,4,3,7,1]=>{{1,6,7},{2,5},{3},{4}}=>{{1,2,7},{3,6},{4},{5}}
[6,2,5,7,1,3,4]=>[2,6,7,1,3,5,4]=>{{1,2,6},{3,7},{4},{5}}=>{{1,5},{2,6,7},{3},{4}}
[6,2,5,7,1,4,3]=>[6,2,5,1,4,7,3]=>{{1,6,7},{2},{3,5},{4}}=>{{1,2,7},{3,5},{4},{6}}
[6,2,5,7,3,1,4]=>[6,7,5,2,3,4,1]=>{{1,6},{2,7},{3,5},{4}}=>{{1,6},{2,7},{3,5},{4}}
[6,2,5,7,3,4,1]=>[6,5,7,2,3,4,1]=>{{1,6},{2,5},{3,7},{4}}=>{{1,5},{2,7},{3,6},{4}}
[6,2,5,7,4,1,3]=>[2,6,5,1,4,7,3]=>{{1,2,6,7},{3,5},{4}}=>{{1,2,6,7},{3,5},{4}}
[6,2,5,7,4,3,1]=>[6,5,4,2,3,7,1]=>{{1,6,7},{2,5},{3,4}}=>{{1,2,7},{3,6},{4,5}}
[6,2,7,1,3,4,5]=>[2,3,6,7,4,5,1]=>{{1,2,3,6},{4,7},{5}}=>{{1,4},{2,5,6,7},{3}}
[6,2,7,1,3,5,4]=>[6,2,3,7,1,5,4]=>{{1,6},{2},{3},{4,7},{5}}=>{{1,4},{2,7},{3},{5},{6}}
[6,2,7,1,4,3,5]=>[2,6,4,7,1,5,3]=>{{1,2,6},{3,4,7},{5}}=>{{1,4,5},{2,6,7},{3}}
[6,2,7,1,4,5,3]=>[6,2,4,7,1,5,3]=>{{1,6},{2},{3,4,7},{5}}=>{{1,4,5},{2,7},{3},{6}}
[6,2,7,1,5,3,4]=>[2,6,3,7,1,5,4]=>{{1,2,6},{3},{4,7},{5}}=>{{1,4},{2,6,7},{3},{5}}
[6,2,7,1,5,4,3]=>[6,5,2,7,1,4,3]=>{{1,6},{2,5},{3},{4,7}}=>{{1,4},{2,7},{3,6},{5}}
[6,2,7,3,1,4,5]=>[2,3,6,4,1,7,5]=>{{1,2,3,6,7},{4},{5}}=>{{1,2,5,6,7},{3},{4}}
[6,2,7,3,1,5,4]=>[6,2,7,3,1,5,4]=>{{1,6},{2},{3,7},{4},{5}}=>{{1,5},{2,7},{3},{4},{6}}
[6,2,7,3,4,1,5]=>[2,6,3,4,1,7,5]=>{{1,2,6,7},{3},{4},{5}}=>{{1,2,6,7},{3},{4},{5}}
[6,2,7,3,4,5,1]=>[6,2,3,4,1,7,5]=>{{1,6,7},{2},{3},{4},{5}}=>{{1,2,7},{3},{4},{5},{6}}
[6,2,7,3,5,1,4]=>[6,7,2,3,1,5,4]=>{{1,6},{2,7},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}
[6,2,7,3,5,4,1]=>[6,5,2,3,1,7,4]=>{{1,6,7},{2,5},{3},{4}}=>{{1,2,7},{3,6},{4},{5}}
[6,2,7,4,1,3,5]=>[2,6,7,4,1,5,3]=>{{1,2,6},{3,7},{4},{5}}=>{{1,5},{2,6,7},{3},{4}}
[6,2,7,4,1,5,3]=>[6,2,7,4,1,5,3]=>{{1,6},{2},{3,7},{4},{5}}=>{{1,5},{2,7},{3},{4},{6}}
[6,2,7,4,3,1,5]=>[2,6,4,3,1,7,5]=>{{1,2,6,7},{3,4},{5}}=>{{1,2,6,7},{3},{4,5}}
[6,2,7,4,3,5,1]=>[6,2,4,3,1,7,5]=>{{1,6,7},{2},{3,4},{5}}=>{{1,2,7},{3},{4,5},{6}}
[6,2,7,4,5,1,3]=>[6,7,2,4,1,5,3]=>{{1,6},{2,7},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}
[6,2,7,4,5,3,1]=>[6,4,2,3,1,7,5]=>{{1,6,7},{2,4},{3},{5}}=>{{1,2,7},{3},{4,6},{5}}
[6,2,7,5,1,3,4]=>[2,6,7,3,1,5,4]=>{{1,2,6},{3,7},{4},{5}}=>{{1,5},{2,6,7},{3},{4}}
[6,2,7,5,1,4,3]=>[6,5,7,2,1,4,3]=>{{1,6},{2,5},{3,7},{4}}=>{{1,5},{2,7},{3,6},{4}}
[6,2,7,5,3,1,4]=>[2,6,5,3,1,7,4]=>{{1,2,6,7},{3,5},{4}}=>{{1,2,6,7},{3,5},{4}}
[6,2,7,5,3,4,1]=>[6,2,5,3,1,7,4]=>{{1,6,7},{2},{3,5},{4}}=>{{1,2,7},{3,5},{4},{6}}
[6,2,7,5,4,1,3]=>[6,7,5,2,1,4,3]=>{{1,6},{2,7},{3,5},{4}}=>{{1,6},{2,7},{3,5},{4}}
[6,2,7,5,4,3,1]=>[6,5,4,2,1,7,3]=>{{1,6,7},{2,5},{3,4}}=>{{1,2,7},{3,6},{4,5}}
[6,3,1,2,4,5,7]=>[1,3,4,6,7,5,2]=>{{1},{2,3,4,6},{5,7}}=>{{1,3},{2,4,5,6},{7}}
[6,3,1,2,4,7,5]=>[6,1,3,4,7,5,2]=>{{1,6},{2},{3},{4},{5,7}}=>{{1,3},{2,7},{4},{5},{6}}
[6,3,1,2,5,4,7]=>[1,3,2,6,7,5,4]=>{{1},{2,3},{4,6},{5,7}}=>{{1,3},{2,4},{5,6},{7}}
[6,3,1,2,5,7,4]=>[3,1,2,6,7,5,4]=>{{1,3},{2},{4,6},{5,7}}=>{{1,3},{2,4},{5,7},{6}}
[6,3,1,2,7,4,5]=>[1,6,3,4,7,5,2]=>{{1},{2,6},{3},{4},{5,7}}=>{{1,3},{2,6},{4},{5},{7}}
[6,3,1,2,7,5,4]=>[6,3,1,2,7,5,4]=>{{1,6},{2,3},{4},{5,7}}=>{{1,3},{2,7},{4},{5,6}}
[6,3,1,4,2,5,7]=>[3,4,6,1,7,5,2]=>{{1,3,6},{2,4},{5,7}}=>{{1,3},{2,5,7},{4,6}}
[6,3,1,4,2,7,5]=>[3,1,6,4,7,5,2]=>{{1,3,6},{2},{4},{5,7}}=>{{1,3},{2,5,7},{4},{6}}
[6,3,1,4,5,2,7]=>[3,4,1,6,7,5,2]=>{{1,3},{2,4,6},{5,7}}=>{{1,3},{2,4,6},{5,7}}
[6,3,1,4,5,7,2]=>[3,1,4,6,7,5,2]=>{{1,3,4,6},{2},{5,7}}=>{{1,3},{2,4,5,7},{6}}
[6,3,1,4,7,2,5]=>[3,6,1,4,7,5,2]=>{{1,3},{2,6},{4},{5,7}}=>{{1,3},{2,6},{4},{5,7}}
[6,3,1,4,7,5,2]=>[6,3,1,4,7,5,2]=>{{1,6},{2,3},{4},{5,7}}=>{{1,3},{2,7},{4},{5,6}}
[6,3,1,5,2,4,7]=>[1,3,6,2,7,5,4]=>{{1},{2,3,6},{4},{5,7}}=>{{1,3},{2,5,6},{4},{7}}
[6,3,1,5,2,7,4]=>[3,1,6,2,7,5,4]=>{{1,3,6},{2},{4},{5,7}}=>{{1,3},{2,5,7},{4},{6}}
[6,3,1,5,4,2,7]=>[3,6,5,1,7,4,2]=>{{1,3,5,7},{2,6},{4}}=>{{1,3,5,7},{2,6},{4}}
[6,3,1,5,4,7,2]=>[6,3,5,1,7,4,2]=>{{1,6},{2,3,5,7},{4}}=>{{1,3,5,6},{2,7},{4}}
[6,3,1,5,7,2,4]=>[3,6,1,2,7,5,4]=>{{1,3},{2,6},{4},{5,7}}=>{{1,3},{2,6},{4},{5,7}}
[6,3,1,5,7,4,2]=>[6,3,1,5,7,4,2]=>{{1,6},{2,3},{4,5,7}}=>{{1,3,4},{2,7},{5,6}}
[6,3,1,7,2,4,5]=>[1,3,6,4,7,5,2]=>{{1},{2,3,6},{4},{5,7}}=>{{1,3},{2,5,6},{4},{7}}
[6,3,1,7,2,5,4]=>[6,1,3,2,7,5,4]=>{{1,6},{2},{3},{4},{5,7}}=>{{1,3},{2,7},{4},{5},{6}}
[6,3,1,7,4,2,5]=>[3,6,4,1,7,5,2]=>{{1,3,4},{2,6},{5,7}}=>{{1,3},{2,6},{4,5,7}}
[6,3,1,7,4,5,2]=>[6,3,4,1,7,5,2]=>{{1,6},{2,3,4},{5,7}}=>{{1,3},{2,7},{4,5,6}}
[6,3,1,7,5,2,4]=>[1,6,3,2,7,5,4]=>{{1},{2,6},{3},{4},{5,7}}=>{{1,3},{2,6},{4},{5},{7}}
[6,3,1,7,5,4,2]=>[6,5,3,1,7,4,2]=>{{1,6},{2,5,7},{3},{4}}=>{{1,3,6},{2,7},{4},{5}}
[6,3,2,1,4,5,7]=>[3,4,6,7,5,2,1]=>{{1,3,6},{2,4,7},{5}}=>{{1,4,6},{2,5,7},{3}}
[6,3,2,1,4,7,5]=>[6,3,4,7,5,2,1]=>{{1,6},{2,3,4,7},{5}}=>{{1,4,5,6},{2,7},{3}}
[6,3,2,1,5,4,7]=>[3,6,2,7,5,4,1]=>{{1,3},{2,6},{4,7},{5}}=>{{1,4},{2,6},{3},{5,7}}
[6,3,2,1,5,7,4]=>[3,2,6,7,5,4,1]=>{{1,3,6},{2},{4,7},{5}}=>{{1,4},{2,5,7},{3},{6}}
[6,3,2,1,7,4,5]=>[3,6,4,7,5,2,1]=>{{1,3,4,7},{2,6},{5}}=>{{1,4,5,7},{2,6},{3}}
[6,3,2,1,7,5,4]=>[6,3,2,7,5,4,1]=>{{1,6},{2,3},{4,7},{5}}=>{{1,4},{2,7},{3},{5,6}}
[6,3,2,4,1,5,7]=>[3,4,6,5,7,2,1]=>{{1,3,6},{2,4,5,7}}=>{{1,3,4,6},{2,5,7}}
[6,3,2,4,1,7,5]=>[6,3,7,4,5,2,1]=>{{1,6},{2,3,7},{4},{5}}=>{{1,5,6},{2,7},{3},{4}}
[6,3,2,4,5,1,7]=>[3,6,4,5,7,2,1]=>{{1,3,4,5,7},{2,6}}=>{{1,3,4,5,7},{2,6}}
[6,3,2,4,5,7,1]=>[6,3,4,5,7,2,1]=>{{1,6},{2,3,4,5,7}}=>{{1,3,4,5,6},{2,7}}
[6,3,2,4,7,1,5]=>[6,7,3,4,5,2,1]=>{{1,6},{2,7},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}
[6,3,2,4,7,5,1]=>[6,3,2,4,7,5,1]=>{{1,6},{2,3},{4},{5,7}}=>{{1,3},{2,7},{4},{5,6}}
[6,3,2,5,1,4,7]=>[3,6,7,2,5,4,1]=>{{1,3,7},{2,6},{4},{5}}=>{{1,5,7},{2,6},{3},{4}}
[6,3,2,5,1,7,4]=>[3,2,6,5,7,4,1]=>{{1,3,6},{2},{4,5,7}}=>{{1,3,4},{2,5,7},{6}}
[6,3,2,5,4,1,7]=>[3,6,5,2,7,4,1]=>{{1,3,5,7},{2,6},{4}}=>{{1,3,5,7},{2,6},{4}}
[6,3,2,5,4,7,1]=>[6,3,5,2,7,4,1]=>{{1,6},{2,3,5,7},{4}}=>{{1,3,5,6},{2,7},{4}}
[6,3,2,5,7,1,4]=>[3,6,2,5,7,4,1]=>{{1,3},{2,6},{4,5,7}}=>{{1,3,4},{2,6},{5,7}}
[6,3,2,5,7,4,1]=>[6,3,2,5,7,4,1]=>{{1,6},{2,3},{4,5,7}}=>{{1,3,4},{2,7},{5,6}}
[6,3,2,7,1,4,5]=>[3,6,7,4,5,2,1]=>{{1,3,7},{2,6},{4},{5}}=>{{1,5,7},{2,6},{3},{4}}
[6,3,2,7,1,5,4]=>[6,3,7,2,5,4,1]=>{{1,6},{2,3,7},{4},{5}}=>{{1,5,6},{2,7},{3},{4}}
[6,3,2,7,4,1,5]=>[3,6,4,2,7,5,1]=>{{1,3,4},{2,6},{5,7}}=>{{1,3},{2,6},{4,5,7}}
[6,3,2,7,4,5,1]=>[6,3,4,2,7,5,1]=>{{1,6},{2,3,4},{5,7}}=>{{1,3},{2,7},{4,5,6}}
[6,3,2,7,5,1,4]=>[6,7,3,2,5,4,1]=>{{1,6},{2,7},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}
[6,3,2,7,5,4,1]=>[6,3,2,1,7,5,4]=>{{1,6},{2,3},{4},{5,7}}=>{{1,3},{2,7},{4},{5,6}}
[6,3,4,1,2,5,7]=>[3,4,6,7,1,5,2]=>{{1,3,6},{2,4,7},{5}}=>{{1,4,6},{2,5,7},{3}}
[6,3,4,1,2,7,5]=>[3,1,6,7,4,5,2]=>{{1,3,6},{2},{4,7},{5}}=>{{1,4},{2,5,7},{3},{6}}
[6,3,4,1,5,2,7]=>[3,4,1,6,5,7,2]=>{{1,3},{2,4,6,7},{5}}=>{{1,2,4,6},{3},{5,7}}
[6,3,4,1,5,7,2]=>[3,1,4,6,5,7,2]=>{{1,3,4,6,7},{2},{5}}=>{{1,2,4,5,7},{3},{6}}
[6,3,4,1,7,2,5]=>[3,6,1,7,4,5,2]=>{{1,3},{2,6},{4,7},{5}}=>{{1,4},{2,6},{3},{5,7}}
[6,3,4,1,7,5,2]=>[6,3,1,7,4,5,2]=>{{1,6},{2,3},{4,7},{5}}=>{{1,4},{2,7},{3},{5,6}}
[6,3,4,2,1,5,7]=>[3,4,6,5,2,7,1]=>{{1,3,6,7},{2,4,5}}=>{{1,2,5,7},{3,4,6}}
[6,3,4,2,1,7,5]=>[6,3,7,4,2,5,1]=>{{1,6},{2,3,7},{4},{5}}=>{{1,5,6},{2,7},{3},{4}}
[6,3,4,2,5,1,7]=>[3,6,4,5,2,7,1]=>{{1,3,4,5},{2,6,7}}=>{{1,2,6},{3,4,5,7}}
[6,3,4,2,5,7,1]=>[6,3,4,5,2,7,1]=>{{1,6,7},{2,3,4,5}}=>{{1,2,7},{3,4,5,6}}
[6,3,4,2,7,1,5]=>[6,7,3,4,2,5,1]=>{{1,6},{2,7},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}
[6,3,4,2,7,5,1]=>[6,3,2,7,4,5,1]=>{{1,6},{2,3},{4,7},{5}}=>{{1,4},{2,7},{3},{5,6}}
[6,3,4,5,1,2,7]=>[3,4,6,1,5,7,2]=>{{1,3,6,7},{2,4},{5}}=>{{1,2,5,7},{3},{4,6}}
[6,3,4,5,1,7,2]=>[3,1,6,4,5,7,2]=>{{1,3,6,7},{2},{4},{5}}=>{{1,2,5,7},{3},{4},{6}}
[6,3,4,5,2,1,7]=>[3,6,4,2,5,7,1]=>{{1,3,4},{2,6,7},{5}}=>{{1,2,6},{3},{4,5,7}}
[6,3,4,5,2,7,1]=>[6,3,4,2,5,7,1]=>{{1,6,7},{2,3,4},{5}}=>{{1,2,7},{3},{4,5,6}}
[6,3,4,5,7,1,2]=>[3,6,1,4,5,7,2]=>{{1,3},{2,6,7},{4},{5}}=>{{1,2,6},{3},{4},{5,7}}
[6,3,4,5,7,2,1]=>[6,3,2,4,5,7,1]=>{{1,6,7},{2,3},{4},{5}}=>{{1,2,7},{3},{4},{5,6}}
[6,3,4,7,1,2,5]=>[3,6,7,1,4,5,2]=>{{1,3,7},{2,6},{4},{5}}=>{{1,5,7},{2,6},{3},{4}}
[6,3,4,7,1,5,2]=>[6,3,7,1,4,5,2]=>{{1,6},{2,3,7},{4},{5}}=>{{1,5,6},{2,7},{3},{4}}
[6,3,4,7,2,1,5]=>[6,7,3,2,4,5,1]=>{{1,6},{2,7},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}
[6,3,4,7,2,5,1]=>[6,3,7,2,4,5,1]=>{{1,6},{2,3,7},{4},{5}}=>{{1,5,6},{2,7},{3},{4}}
[6,3,4,7,5,1,2]=>[6,7,3,1,4,5,2]=>{{1,6},{2,7},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}
[6,3,4,7,5,2,1]=>[6,3,2,1,4,7,5]=>{{1,6,7},{2,3},{4},{5}}=>{{1,2,7},{3},{4},{5,6}}
[6,3,5,1,2,4,7]=>[1,3,6,7,2,5,4]=>{{1},{2,3,6},{4,7},{5}}=>{{1,4},{2,5,6},{3},{7}}
[6,3,5,1,2,7,4]=>[3,1,6,7,2,5,4]=>{{1,3,6},{2},{4,7},{5}}=>{{1,4},{2,5,7},{3},{6}}
[6,3,5,1,4,2,7]=>[3,6,5,7,1,4,2]=>{{1,3,5},{2,6},{4,7}}=>{{1,4},{2,6},{3,5,7}}
[6,3,5,1,4,7,2]=>[6,3,5,7,1,4,2]=>{{1,6},{2,3,5},{4,7}}=>{{1,4},{2,7},{3,5,6}}
[6,3,5,1,7,2,4]=>[3,6,1,7,2,5,4]=>{{1,3},{2,6},{4,7},{5}}=>{{1,4},{2,6},{3},{5,7}}
[6,3,5,1,7,4,2]=>[6,3,1,5,4,7,2]=>{{1,6,7},{2,3},{4,5}}=>{{1,2,7},{3,4},{5,6}}
[6,3,5,2,1,4,7]=>[3,6,7,5,2,4,1]=>{{1,3,7},{2,6},{4,5}}=>{{1,5,7},{2,6},{3,4}}
[6,3,5,2,1,7,4]=>[3,2,6,5,4,7,1]=>{{1,3,6,7},{2},{4,5}}=>{{1,2,5,7},{3,4},{6}}
[6,3,5,2,4,1,7]=>[3,6,5,7,2,4,1]=>{{1,3,5},{2,6},{4,7}}=>{{1,4},{2,6},{3,5,7}}
[6,3,5,2,4,7,1]=>[6,3,5,7,2,4,1]=>{{1,6},{2,3,5},{4,7}}=>{{1,4},{2,7},{3,5,6}}
[6,3,5,2,7,1,4]=>[3,6,2,5,4,7,1]=>{{1,3},{2,6,7},{4,5}}=>{{1,2,6},{3,4},{5,7}}
[6,3,5,2,7,4,1]=>[6,3,2,5,4,7,1]=>{{1,6,7},{2,3},{4,5}}=>{{1,2,7},{3,4},{5,6}}
[6,3,5,4,1,2,7]=>[3,6,7,5,1,4,2]=>{{1,3,7},{2,6},{4,5}}=>{{1,5,7},{2,6},{3,4}}
[6,3,5,4,1,7,2]=>[3,1,6,5,4,7,2]=>{{1,3,6,7},{2},{4,5}}=>{{1,2,5,7},{3,4},{6}}
[6,3,5,4,2,1,7]=>[3,6,5,4,2,7,1]=>{{1,3,5},{2,6,7},{4}}=>{{1,2,6},{3,5,7},{4}}
[6,3,5,4,2,7,1]=>[6,3,5,4,2,7,1]=>{{1,6,7},{2,3,5},{4}}=>{{1,2,7},{3,5,6},{4}}
[6,3,5,4,7,1,2]=>[3,6,1,5,4,7,2]=>{{1,3},{2,6,7},{4,5}}=>{{1,2,6},{3,4},{5,7}}
[6,3,5,4,7,2,1]=>[6,5,3,4,2,7,1]=>{{1,6,7},{2,5},{3},{4}}=>{{1,2,7},{3,6},{4},{5}}
[6,3,5,7,1,2,4]=>[3,6,7,1,2,5,4]=>{{1,3,7},{2,6},{4},{5}}=>{{1,5,7},{2,6},{3},{4}}
[6,3,5,7,1,4,2]=>[6,3,5,1,4,7,2]=>{{1,6,7},{2,3,5},{4}}=>{{1,2,7},{3,5,6},{4}}
[6,3,5,7,2,1,4]=>[3,6,5,2,4,7,1]=>{{1,3,5},{2,6,7},{4}}=>{{1,2,6},{3,5,7},{4}}
[6,3,5,7,2,4,1]=>[6,3,5,2,4,7,1]=>{{1,6,7},{2,3,5},{4}}=>{{1,2,7},{3,5,6},{4}}
[6,3,5,7,4,1,2]=>[3,6,5,1,4,7,2]=>{{1,3,5},{2,6,7},{4}}=>{{1,2,6},{3,5,7},{4}}
[6,3,5,7,4,2,1]=>[6,5,3,2,4,7,1]=>{{1,6,7},{2,5},{3},{4}}=>{{1,2,7},{3,6},{4},{5}}
[6,3,7,1,2,4,5]=>[1,3,6,7,4,5,2]=>{{1},{2,3,6},{4,7},{5}}=>{{1,4},{2,5,6},{3},{7}}
[6,3,7,1,2,5,4]=>[6,1,3,7,2,5,4]=>{{1,6},{2},{3},{4,7},{5}}=>{{1,4},{2,7},{3},{5},{6}}
[6,3,7,1,4,2,5]=>[3,6,4,7,1,5,2]=>{{1,3,4,7},{2,6},{5}}=>{{1,4,5,7},{2,6},{3}}
[6,3,7,1,4,5,2]=>[6,3,4,7,1,5,2]=>{{1,6},{2,3,4,7},{5}}=>{{1,4,5,6},{2,7},{3}}
[6,3,7,1,5,2,4]=>[1,6,3,7,2,5,4]=>{{1},{2,6},{3},{4,7},{5}}=>{{1,4},{2,6},{3},{5},{7}}
[6,3,7,1,5,4,2]=>[6,5,3,7,1,4,2]=>{{1,6},{2,5},{3},{4,7}}=>{{1,4},{2,7},{3,6},{5}}
[6,3,7,2,1,4,5]=>[3,6,7,4,2,5,1]=>{{1,3,7},{2,6},{4},{5}}=>{{1,5,7},{2,6},{3},{4}}
[6,3,7,2,1,5,4]=>[6,3,7,5,2,4,1]=>{{1,6},{2,3,7},{4,5}}=>{{1,5,6},{2,7},{3,4}}
[6,3,7,2,4,1,5]=>[3,6,4,7,2,5,1]=>{{1,3,4,7},{2,6},{5}}=>{{1,4,5,7},{2,6},{3}}
[6,3,7,2,4,5,1]=>[6,3,4,7,2,5,1]=>{{1,6},{2,3,4,7},{5}}=>{{1,4,5,6},{2,7},{3}}
[6,3,7,2,5,1,4]=>[6,7,3,5,2,4,1]=>{{1,6},{2,7},{3},{4,5}}=>{{1,6},{2,7},{3,4},{5}}
[6,3,7,2,5,4,1]=>[6,3,2,7,1,5,4]=>{{1,6},{2,3},{4,7},{5}}=>{{1,4},{2,7},{3},{5,6}}
[6,3,7,4,1,2,5]=>[3,6,7,4,1,5,2]=>{{1,3,7},{2,6},{4},{5}}=>{{1,5,7},{2,6},{3},{4}}
[6,3,7,4,1,5,2]=>[6,3,7,4,1,5,2]=>{{1,6},{2,3,7},{4},{5}}=>{{1,5,6},{2,7},{3},{4}}
[6,3,7,4,2,1,5]=>[3,6,4,2,1,7,5]=>{{1,3,4},{2,6,7},{5}}=>{{1,2,6},{3},{4,5,7}}
[6,3,7,4,2,5,1]=>[6,3,4,2,1,7,5]=>{{1,6,7},{2,3,4},{5}}=>{{1,2,7},{3},{4,5,6}}
[6,3,7,4,5,1,2]=>[6,7,3,4,1,5,2]=>{{1,6},{2,7},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}
[6,3,7,4,5,2,1]=>[6,3,2,4,1,7,5]=>{{1,6,7},{2,3},{4},{5}}=>{{1,2,7},{3},{4},{5,6}}
[6,3,7,5,1,2,4]=>[1,6,7,3,2,5,4]=>{{1},{2,6},{3,7},{4},{5}}=>{{1,5},{2,6},{3},{4},{7}}
[6,3,7,5,1,4,2]=>[6,5,7,3,1,4,2]=>{{1,6},{2,5},{3,7},{4}}=>{{1,5},{2,7},{3,6},{4}}
[6,3,7,5,2,1,4]=>[6,7,3,2,1,5,4]=>{{1,6},{2,7},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}
[6,3,7,5,2,4,1]=>[6,3,7,2,1,5,4]=>{{1,6},{2,3,7},{4},{5}}=>{{1,5,6},{2,7},{3},{4}}
[6,3,7,5,4,1,2]=>[6,7,5,3,1,4,2]=>{{1,6},{2,7},{3,5},{4}}=>{{1,6},{2,7},{3,5},{4}}
[6,3,7,5,4,2,1]=>[6,5,3,2,1,7,4]=>{{1,6,7},{2,5},{3},{4}}=>{{1,2,7},{3,6},{4},{5}}
[6,4,1,2,3,5,7]=>[1,2,4,6,7,5,3]=>{{1},{2},{3,4,6},{5,7}}=>{{1,3},{2,4,5},{6},{7}}
[6,4,1,2,3,7,5]=>[6,1,2,4,7,5,3]=>{{1,6},{2},{3},{4},{5,7}}=>{{1,3},{2,7},{4},{5},{6}}
[6,4,1,2,5,3,7]=>[1,4,2,6,7,5,3]=>{{1},{2,4,6},{3},{5,7}}=>{{1,3},{2,4,6},{5},{7}}
[6,4,1,2,5,7,3]=>[4,1,2,6,7,5,3]=>{{1,4,6},{2},{3},{5,7}}=>{{1,3},{2,4,7},{5},{6}}
[6,4,1,2,7,3,5]=>[1,6,2,4,7,5,3]=>{{1},{2,6},{3},{4},{5,7}}=>{{1,3},{2,6},{4},{5},{7}}
[6,4,1,2,7,5,3]=>[6,4,1,2,7,5,3]=>{{1,6},{2,4},{3},{5,7}}=>{{1,3},{2,7},{4,6},{5}}
[6,4,1,3,2,5,7]=>[1,4,6,5,7,3,2]=>{{1},{2,4,5,7},{3,6}}=>{{1,3,4,6},{2,5},{7}}
[6,4,1,3,2,7,5]=>[6,1,7,4,5,3,2]=>{{1,6},{2},{3,7},{4},{5}}=>{{1,5},{2,7},{3},{4},{6}}
[6,4,1,3,5,2,7]=>[1,6,4,5,7,3,2]=>{{1},{2,6},{3,4,5,7}}=>{{1,3,4,5},{2,6},{7}}
[6,4,1,3,5,7,2]=>[6,1,4,5,7,3,2]=>{{1,6},{2},{3,4,5,7}}=>{{1,3,4,5},{2,7},{6}}
[6,4,1,3,7,2,5]=>[6,7,1,4,5,3,2]=>{{1,6},{2,7},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}
[6,4,1,3,7,5,2]=>[6,4,1,3,7,5,2]=>{{1,6},{2,4},{3},{5,7}}=>{{1,3},{2,7},{4,6},{5}}
[6,4,1,5,2,3,7]=>[1,4,6,2,7,5,3]=>{{1},{2,4},{3,6},{5,7}}=>{{1,3},{2,5},{4,6},{7}}
[6,4,1,5,2,7,3]=>[4,1,6,2,7,5,3]=>{{1,4},{2},{3,6},{5,7}}=>{{1,3},{2,5},{4,7},{6}}
[6,4,1,5,3,2,7]=>[4,6,5,1,7,3,2]=>{{1,4},{2,6},{3,5,7}}=>{{1,3,5},{2,6},{4,7}}
[6,4,1,5,3,7,2]=>[6,4,5,1,7,3,2]=>{{1,6},{2,4},{3,5,7}}=>{{1,3,5},{2,7},{4,6}}
[6,4,1,5,7,2,3]=>[4,6,1,2,7,5,3]=>{{1,4},{2,6},{3},{5,7}}=>{{1,3},{2,6},{4,7},{5}}
[6,4,1,5,7,3,2]=>[6,4,1,5,7,3,2]=>{{1,6},{2,4,5,7},{3}}=>{{1,3,4,6},{2,7},{5}}
[6,4,1,7,2,3,5]=>[1,2,6,4,7,5,3]=>{{1},{2},{3,6},{4},{5,7}}=>{{1,3},{2,5},{4},{6},{7}}
[6,4,1,7,2,5,3]=>[6,1,4,2,7,5,3]=>{{1,6},{2},{3,4},{5,7}}=>{{1,3},{2,7},{4,5},{6}}
[6,4,1,7,3,2,5]=>[1,6,4,3,7,5,2]=>{{1},{2,6},{3,4},{5,7}}=>{{1,3},{2,6},{4,5},{7}}
[6,4,1,7,3,5,2]=>[6,1,4,3,7,5,2]=>{{1,6},{2},{3,4},{5,7}}=>{{1,3},{2,7},{4,5},{6}}
[6,4,1,7,5,2,3]=>[1,6,4,2,7,5,3]=>{{1},{2,6},{3,4},{5,7}}=>{{1,3},{2,6},{4,5},{7}}
[6,4,1,7,5,3,2]=>[6,4,3,1,7,5,2]=>{{1,6},{2,4},{3},{5,7}}=>{{1,3},{2,7},{4,6},{5}}
[6,4,2,1,3,5,7]=>[2,4,6,7,5,3,1]=>{{1,2,4,7},{3,6},{5}}=>{{1,4,6,7},{2,5},{3}}
[6,4,2,1,3,7,5]=>[6,2,4,7,5,3,1]=>{{1,6},{2},{3,4,7},{5}}=>{{1,4,5},{2,7},{3},{6}}
[6,4,2,1,5,3,7]=>[4,6,2,7,5,3,1]=>{{1,4,7},{2,6},{3},{5}}=>{{1,4,7},{2,6},{3},{5}}
[6,4,2,1,5,7,3]=>[4,2,6,7,5,3,1]=>{{1,4,7},{2},{3,6},{5}}=>{{1,4,7},{2,5},{3},{6}}
[6,4,2,1,7,3,5]=>[2,6,4,7,5,3,1]=>{{1,2,6},{3,4,7},{5}}=>{{1,4,5},{2,6,7},{3}}
[6,4,2,1,7,5,3]=>[6,4,2,7,5,3,1]=>{{1,6},{2,4,7},{3},{5}}=>{{1,4,6},{2,7},{3},{5}}
[6,4,2,3,1,5,7]=>[2,4,6,5,7,3,1]=>{{1,2,4,5,7},{3,6}}=>{{1,3,4,6,7},{2,5}}
[6,4,2,3,1,7,5]=>[6,2,7,4,5,3,1]=>{{1,6},{2},{3,7},{4},{5}}=>{{1,5},{2,7},{3},{4},{6}}
[6,4,2,3,5,1,7]=>[2,6,4,5,7,3,1]=>{{1,2,6},{3,4,5,7}}=>{{1,3,4,5},{2,6,7}}
[6,4,2,3,5,7,1]=>[6,2,4,5,7,3,1]=>{{1,6},{2},{3,4,5,7}}=>{{1,3,4,5},{2,7},{6}}
[6,4,2,3,7,1,5]=>[6,7,2,4,5,3,1]=>{{1,6},{2,7},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}
[6,4,2,3,7,5,1]=>[6,4,2,3,7,5,1]=>{{1,6},{2,4},{3},{5,7}}=>{{1,3},{2,7},{4,6},{5}}
[6,4,2,5,1,3,7]=>[4,6,7,2,5,3,1]=>{{1,4},{2,6},{3,7},{5}}=>{{1,5},{2,6},{3},{4,7}}
[6,4,2,5,1,7,3]=>[4,2,6,5,7,3,1]=>{{1,4,5,7},{2},{3,6}}=>{{1,3,4,7},{2,5},{6}}
[6,4,2,5,3,1,7]=>[4,6,5,2,7,3,1]=>{{1,4},{2,6},{3,5,7}}=>{{1,3,5},{2,6},{4,7}}
[6,4,2,5,3,7,1]=>[6,4,5,2,7,3,1]=>{{1,6},{2,4},{3,5,7}}=>{{1,3,5},{2,7},{4,6}}
[6,4,2,5,7,1,3]=>[4,6,2,5,7,3,1]=>{{1,4,5,7},{2,6},{3}}=>{{1,3,4,7},{2,6},{5}}
[6,4,2,5,7,3,1]=>[6,4,2,5,7,3,1]=>{{1,6},{2,4,5,7},{3}}=>{{1,3,4,6},{2,7},{5}}
[6,4,2,7,1,3,5]=>[2,6,7,4,5,3,1]=>{{1,2,6},{3,7},{4},{5}}=>{{1,5},{2,6,7},{3},{4}}
[6,4,2,7,1,5,3]=>[6,4,7,2,5,3,1]=>{{1,6},{2,4},{3,7},{5}}=>{{1,5},{2,7},{3},{4,6}}
[6,4,2,7,3,1,5]=>[2,6,4,3,7,5,1]=>{{1,2,6},{3,4},{5,7}}=>{{1,3},{2,6,7},{4,5}}
[6,4,2,7,3,5,1]=>[6,2,4,3,7,5,1]=>{{1,6},{2},{3,4},{5,7}}=>{{1,3},{2,7},{4,5},{6}}
[6,4,2,7,5,1,3]=>[6,7,4,2,5,3,1]=>{{1,6},{2,7},{3,4},{5}}=>{{1,6},{2,7},{3},{4,5}}
[6,4,2,7,5,3,1]=>[6,4,2,1,7,5,3]=>{{1,6},{2,4},{3},{5,7}}=>{{1,3},{2,7},{4,6},{5}}
[6,4,3,1,2,5,7]=>[1,4,6,7,5,3,2]=>{{1},{2,4,7},{3,6},{5}}=>{{1,4,6},{2,5},{3},{7}}
[6,4,3,1,2,7,5]=>[6,1,4,7,5,3,2]=>{{1,6},{2},{3,4,7},{5}}=>{{1,4,5},{2,7},{3},{6}}
[6,4,3,1,5,2,7]=>[4,6,1,7,5,3,2]=>{{1,4,7},{2,6},{3},{5}}=>{{1,4,7},{2,6},{3},{5}}
[6,4,3,1,5,7,2]=>[4,1,6,7,5,3,2]=>{{1,4,7},{2},{3,6},{5}}=>{{1,4,7},{2,5},{3},{6}}
[6,4,3,1,7,2,5]=>[1,6,4,7,5,3,2]=>{{1},{2,6},{3,4,7},{5}}=>{{1,4,5},{2,6},{3},{7}}
[6,4,3,1,7,5,2]=>[6,4,1,7,5,3,2]=>{{1,6},{2,4,7},{3},{5}}=>{{1,4,6},{2,7},{3},{5}}
[6,4,3,2,1,5,7]=>[4,6,7,5,3,2,1]=>{{1,4,5},{2,6},{3,7}}=>{{1,5},{2,6},{3,4,7}}
[6,4,3,2,1,7,5]=>[6,4,7,5,3,2,1]=>{{1,6},{2,4,5},{3,7}}=>{{1,5},{2,7},{3,4,6}}
[6,4,3,2,5,1,7]=>[4,6,5,7,3,2,1]=>{{1,4,7},{2,6},{3,5}}=>{{1,4,7},{2,6},{3,5}}
[6,4,3,2,5,7,1]=>[6,4,5,7,3,2,1]=>{{1,6},{2,4,7},{3,5}}=>{{1,4,6},{2,7},{3,5}}
[6,4,3,2,7,1,5]=>[6,7,4,5,3,2,1]=>{{1,6},{2,7},{3,4,5}}=>{{1,6},{2,7},{3,4,5}}
[6,4,3,2,7,5,1]=>[6,4,3,7,5,2,1]=>{{1,6},{2,4,7},{3},{5}}=>{{1,4,6},{2,7},{3},{5}}
[6,4,3,5,1,2,7]=>[4,6,7,1,5,3,2]=>{{1,4},{2,6},{3,7},{5}}=>{{1,5},{2,6},{3},{4,7}}
[6,4,3,5,1,7,2]=>[4,1,6,5,7,3,2]=>{{1,4,5,7},{2},{3,6}}=>{{1,3,4,7},{2,5},{6}}
[6,4,3,5,2,1,7]=>[4,6,5,3,7,2,1]=>{{1,4},{2,6},{3,5,7}}=>{{1,3,5},{2,6},{4,7}}
[6,4,3,5,2,7,1]=>[6,4,5,3,7,2,1]=>{{1,6},{2,4},{3,5,7}}=>{{1,3,5},{2,7},{4,6}}
[6,4,3,5,7,1,2]=>[4,6,1,5,7,3,2]=>{{1,4,5,7},{2,6},{3}}=>{{1,3,4,7},{2,6},{5}}
[6,4,3,5,7,2,1]=>[6,4,3,5,7,2,1]=>{{1,6},{2,4,5,7},{3}}=>{{1,3,4,6},{2,7},{5}}
[6,4,3,7,1,2,5]=>[1,6,7,4,5,3,2]=>{{1},{2,6},{3,7},{4},{5}}=>{{1,5},{2,6},{3},{4},{7}}
[6,4,3,7,1,5,2]=>[6,4,7,1,5,3,2]=>{{1,6},{2,4},{3,7},{5}}=>{{1,5},{2,7},{3},{4,6}}
[6,4,3,7,2,1,5]=>[6,7,4,3,5,2,1]=>{{1,6},{2,7},{3,4},{5}}=>{{1,6},{2,7},{3},{4,5}}
[6,4,3,7,2,5,1]=>[6,4,7,3,5,2,1]=>{{1,6},{2,4},{3,7},{5}}=>{{1,5},{2,7},{3},{4,6}}
[6,4,3,7,5,1,2]=>[6,7,4,1,5,3,2]=>{{1,6},{2,7},{3,4},{5}}=>{{1,6},{2,7},{3},{4,5}}
[6,4,3,7,5,2,1]=>[6,4,3,2,7,5,1]=>{{1,6},{2,4},{3},{5,7}}=>{{1,3},{2,7},{4,6},{5}}
[6,4,5,1,2,3,7]=>[1,4,6,7,2,5,3]=>{{1},{2,4,7},{3,6},{5}}=>{{1,4,6},{2,5},{3},{7}}
[6,4,5,1,2,7,3]=>[4,1,6,7,2,5,3]=>{{1,4,7},{2},{3,6},{5}}=>{{1,4,7},{2,5},{3},{6}}
[6,4,5,1,3,2,7]=>[4,6,5,7,1,3,2]=>{{1,4,7},{2,6},{3,5}}=>{{1,4,7},{2,6},{3,5}}
[6,4,5,1,3,7,2]=>[6,4,5,7,1,3,2]=>{{1,6},{2,4,7},{3,5}}=>{{1,4,6},{2,7},{3,5}}
[6,4,5,1,7,2,3]=>[4,6,1,7,2,5,3]=>{{1,4,7},{2,6},{3},{5}}=>{{1,4,7},{2,6},{3},{5}}
[6,4,5,1,7,3,2]=>[6,4,1,5,3,7,2]=>{{1,6,7},{2,4,5},{3}}=>{{1,2,7},{3,4,6},{5}}
[6,4,5,2,1,3,7]=>[4,6,7,5,2,3,1]=>{{1,4,5},{2,6},{3,7}}=>{{1,5},{2,6},{3,4,7}}
[6,4,5,2,1,7,3]=>[4,2,6,5,3,7,1]=>{{1,4,5},{2},{3,6,7}}=>{{1,2,5},{3,4,7},{6}}
[6,4,5,2,3,1,7]=>[4,6,5,7,2,3,1]=>{{1,4,7},{2,6},{3,5}}=>{{1,4,7},{2,6},{3,5}}
[6,4,5,2,3,7,1]=>[6,4,5,7,2,3,1]=>{{1,6},{2,4,7},{3,5}}=>{{1,4,6},{2,7},{3,5}}
[6,4,5,2,7,1,3]=>[4,6,2,5,3,7,1]=>{{1,4,5},{2,6,7},{3}}=>{{1,2,6},{3,4,7},{5}}
[6,4,5,2,7,3,1]=>[6,4,2,5,3,7,1]=>{{1,6,7},{2,4,5},{3}}=>{{1,2,7},{3,4,6},{5}}
[6,4,5,3,1,2,7]=>[4,6,7,5,1,3,2]=>{{1,4,5},{2,6},{3,7}}=>{{1,5},{2,6},{3,4,7}}
[6,4,5,3,1,7,2]=>[4,1,6,5,3,7,2]=>{{1,4,5},{2},{3,6,7}}=>{{1,2,5},{3,4,7},{6}}
[6,4,5,3,2,1,7]=>[4,6,5,3,2,7,1]=>{{1,4},{2,6,7},{3,5}}=>{{1,2,6},{3,5},{4,7}}
[6,4,5,3,2,7,1]=>[6,4,5,3,2,7,1]=>{{1,6,7},{2,4},{3,5}}=>{{1,2,7},{3,5},{4,6}}
[6,4,5,3,7,1,2]=>[4,6,1,5,3,7,2]=>{{1,4,5},{2,6,7},{3}}=>{{1,2,6},{3,4,7},{5}}
[6,4,5,3,7,2,1]=>[6,4,3,5,2,7,1]=>{{1,6,7},{2,4,5},{3}}=>{{1,2,7},{3,4,6},{5}}
[6,4,5,7,1,2,3]=>[4,6,7,1,2,5,3]=>{{1,4},{2,6},{3,7},{5}}=>{{1,5},{2,6},{3},{4,7}}
[6,4,5,7,1,3,2]=>[6,4,5,1,3,7,2]=>{{1,6,7},{2,4},{3,5}}=>{{1,2,7},{3,5},{4,6}}
[6,4,5,7,2,1,3]=>[4,6,5,2,3,7,1]=>{{1,4},{2,6,7},{3,5}}=>{{1,2,6},{3,5},{4,7}}
[6,4,5,7,2,3,1]=>[6,4,5,2,3,7,1]=>{{1,6,7},{2,4},{3,5}}=>{{1,2,7},{3,5},{4,6}}
[6,4,5,7,3,1,2]=>[4,6,5,1,3,7,2]=>{{1,4},{2,6,7},{3,5}}=>{{1,2,6},{3,5},{4,7}}
[6,4,5,7,3,2,1]=>[6,4,3,2,5,7,1]=>{{1,6,7},{2,4},{3},{5}}=>{{1,2,7},{3},{4,6},{5}}
[6,4,7,1,2,3,5]=>[1,2,6,7,4,5,3]=>{{1},{2},{3,6},{4,7},{5}}=>{{1,4},{2,5},{3},{6},{7}}
[6,4,7,1,2,5,3]=>[6,1,4,7,2,5,3]=>{{1,6},{2},{3,4,7},{5}}=>{{1,4,5},{2,7},{3},{6}}
[6,4,7,1,3,2,5]=>[1,6,4,7,3,5,2]=>{{1},{2,6},{3,4,7},{5}}=>{{1,4,5},{2,6},{3},{7}}
[6,4,7,1,3,5,2]=>[6,1,4,7,3,5,2]=>{{1,6},{2},{3,4,7},{5}}=>{{1,4,5},{2,7},{3},{6}}
[6,4,7,1,5,2,3]=>[1,6,4,7,2,5,3]=>{{1},{2,6},{3,4,7},{5}}=>{{1,4,5},{2,6},{3},{7}}
[6,4,7,1,5,3,2]=>[6,4,3,7,1,5,2]=>{{1,6},{2,4,7},{3},{5}}=>{{1,4,6},{2,7},{3},{5}}
[6,4,7,2,1,3,5]=>[2,6,7,4,3,5,1]=>{{1,2,6},{3,7},{4},{5}}=>{{1,5},{2,6,7},{3},{4}}
[6,4,7,2,1,5,3]=>[6,4,7,5,2,3,1]=>{{1,6},{2,4,5},{3,7}}=>{{1,5},{2,7},{3,4,6}}
[6,4,7,2,3,1,5]=>[2,6,4,7,3,5,1]=>{{1,2,6},{3,4,7},{5}}=>{{1,4,5},{2,6,7},{3}}
[6,4,7,2,3,5,1]=>[6,2,4,7,3,5,1]=>{{1,6},{2},{3,4,7},{5}}=>{{1,4,5},{2,7},{3},{6}}
[6,4,7,2,5,1,3]=>[6,7,4,5,2,3,1]=>{{1,6},{2,7},{3,4,5}}=>{{1,6},{2,7},{3,4,5}}
[6,4,7,2,5,3,1]=>[6,4,2,7,1,5,3]=>{{1,6},{2,4,7},{3},{5}}=>{{1,4,6},{2,7},{3},{5}}
[6,4,7,3,1,2,5]=>[1,6,7,4,3,5,2]=>{{1},{2,6},{3,7},{4},{5}}=>{{1,5},{2,6},{3},{4},{7}}
[6,4,7,3,1,5,2]=>[6,4,7,5,1,3,2]=>{{1,6},{2,4,5},{3,7}}=>{{1,5},{2,7},{3,4,6}}
[6,4,7,3,2,1,5]=>[6,7,4,3,2,5,1]=>{{1,6},{2,7},{3,4},{5}}=>{{1,6},{2,7},{3},{4,5}}
[6,4,7,3,2,5,1]=>[6,4,7,3,2,5,1]=>{{1,6},{2,4},{3,7},{5}}=>{{1,5},{2,7},{3},{4,6}}
[6,4,7,3,5,1,2]=>[6,7,4,5,1,3,2]=>{{1,6},{2,7},{3,4,5}}=>{{1,6},{2,7},{3,4,5}}
[6,4,7,3,5,2,1]=>[6,4,3,7,2,5,1]=>{{1,6},{2,4,7},{3},{5}}=>{{1,4,6},{2,7},{3},{5}}
[6,4,7,5,1,2,3]=>[1,6,7,4,2,5,3]=>{{1},{2,6},{3,7},{4},{5}}=>{{1,5},{2,6},{3},{4},{7}}
[6,4,7,5,1,3,2]=>[6,4,7,3,1,5,2]=>{{1,6},{2,4},{3,7},{5}}=>{{1,5},{2,7},{3},{4,6}}
[6,4,7,5,2,1,3]=>[6,7,4,2,1,5,3]=>{{1,6},{2,7},{3,4},{5}}=>{{1,6},{2,7},{3},{4,5}}
[6,4,7,5,2,3,1]=>[6,4,7,2,1,5,3]=>{{1,6},{2,4},{3,7},{5}}=>{{1,5},{2,7},{3},{4,6}}
[6,4,7,5,3,1,2]=>[6,7,4,3,1,5,2]=>{{1,6},{2,7},{3,4},{5}}=>{{1,6},{2,7},{3},{4,5}}
[6,4,7,5,3,2,1]=>[6,4,3,2,1,7,5]=>{{1,6,7},{2,4},{3},{5}}=>{{1,2,7},{3},{4,6},{5}}
[6,5,1,2,3,4,7]=>[1,2,3,6,7,5,4]=>{{1},{2},{3},{4,6},{5,7}}=>{{1,3},{2,4},{5},{6},{7}}
[6,5,1,2,3,7,4]=>[6,1,2,3,7,5,4]=>{{1,6},{2},{3},{4},{5,7}}=>{{1,3},{2,7},{4},{5},{6}}
[6,5,1,2,4,3,7]=>[1,6,2,5,7,4,3]=>{{1},{2,6},{3},{4,5,7}}=>{{1,3,4},{2,6},{5},{7}}
[6,5,1,2,4,7,3]=>[6,1,2,5,7,4,3]=>{{1,6},{2},{3},{4,5,7}}=>{{1,3,4},{2,7},{5},{6}}
[6,5,1,2,7,3,4]=>[1,6,2,3,7,5,4]=>{{1},{2,6},{3},{4},{5,7}}=>{{1,3},{2,6},{4},{5},{7}}
[6,5,1,2,7,4,3]=>[6,5,1,2,7,4,3]=>{{1,6},{2,5,7},{3},{4}}=>{{1,3,6},{2,7},{4},{5}}
[6,5,1,3,2,4,7]=>[1,3,6,5,7,4,2]=>{{1},{2,3,6},{4,5,7}}=>{{1,3,4},{2,5,6},{7}}
[6,5,1,3,2,7,4]=>[6,1,7,3,5,4,2]=>{{1,6},{2},{3,7},{4},{5}}=>{{1,5},{2,7},{3},{4},{6}}
[6,5,1,3,4,2,7]=>[1,6,3,5,7,4,2]=>{{1},{2,6},{3},{4,5,7}}=>{{1,3,4},{2,6},{5},{7}}
[6,5,1,3,4,7,2]=>[6,1,3,5,7,4,2]=>{{1,6},{2},{3},{4,5,7}}=>{{1,3,4},{2,7},{5},{6}}
[6,5,1,3,7,2,4]=>[6,7,1,3,5,4,2]=>{{1,6},{2,7},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}
[6,5,1,3,7,4,2]=>[6,5,1,3,7,4,2]=>{{1,6},{2,5,7},{3},{4}}=>{{1,3,6},{2,7},{4},{5}}
[6,5,1,4,2,3,7]=>[1,2,6,5,7,4,3]=>{{1},{2},{3,6},{4,5,7}}=>{{1,3,4},{2,5},{6},{7}}
[6,5,1,4,2,7,3]=>[6,1,7,2,5,4,3]=>{{1,6},{2},{3,7},{4},{5}}=>{{1,5},{2,7},{3},{4},{6}}
[6,5,1,4,3,2,7]=>[1,6,5,4,7,3,2]=>{{1},{2,6},{3,5,7},{4}}=>{{1,3,5},{2,6},{4},{7}}
[6,5,1,4,3,7,2]=>[6,1,5,4,7,3,2]=>{{1,6},{2},{3,5,7},{4}}=>{{1,3,5},{2,7},{4},{6}}
[6,5,1,4,7,2,3]=>[6,7,1,2,5,4,3]=>{{1,6},{2,7},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}
[6,5,1,4,7,3,2]=>[6,5,1,4,7,3,2]=>{{1,6},{2,5,7},{3},{4}}=>{{1,3,6},{2,7},{4},{5}}
[6,5,1,7,2,3,4]=>[1,2,6,3,7,5,4]=>{{1},{2},{3,6},{4},{5,7}}=>{{1,3},{2,5},{4},{6},{7}}
[6,5,1,7,2,4,3]=>[6,1,5,2,7,4,3]=>{{1,6},{2},{3,5,7},{4}}=>{{1,3,5},{2,7},{4},{6}}
[6,5,1,7,3,2,4]=>[1,6,5,3,7,4,2]=>{{1},{2,6},{3,5,7},{4}}=>{{1,3,5},{2,6},{4},{7}}
[6,5,1,7,3,4,2]=>[6,1,5,3,7,4,2]=>{{1,6},{2},{3,5,7},{4}}=>{{1,3,5},{2,7},{4},{6}}
[6,5,1,7,4,2,3]=>[1,6,5,2,7,4,3]=>{{1},{2,6},{3,5,7},{4}}=>{{1,3,5},{2,6},{4},{7}}
[6,5,1,7,4,3,2]=>[6,5,4,1,7,3,2]=>{{1,6},{2,5,7},{3,4}}=>{{1,3,6},{2,7},{4,5}}
[6,5,2,1,3,4,7]=>[2,3,6,7,5,4,1]=>{{1,2,3,6},{4,7},{5}}=>{{1,4},{2,5,6,7},{3}}
[6,5,2,1,3,7,4]=>[6,2,3,7,5,4,1]=>{{1,6},{2},{3},{4,7},{5}}=>{{1,4},{2,7},{3},{5},{6}}
[6,5,2,1,4,3,7]=>[2,6,1,7,5,4,3]=>{{1,2,6},{3},{4,7},{5}}=>{{1,4},{2,6,7},{3},{5}}
[6,5,2,1,4,7,3]=>[2,1,6,7,5,4,3]=>{{1,2},{3,6},{4,7},{5}}=>{{1,4},{2,5},{3},{6,7}}
[6,5,2,1,7,3,4]=>[2,6,3,7,5,4,1]=>{{1,2,6},{3},{4,7},{5}}=>{{1,4},{2,6,7},{3},{5}}
[6,5,2,1,7,4,3]=>[6,2,1,7,5,4,3]=>{{1,6},{2},{3},{4,7},{5}}=>{{1,4},{2,7},{3},{5},{6}}
[6,5,2,3,1,4,7]=>[2,3,6,5,7,4,1]=>{{1,2,3,6},{4,5,7}}=>{{1,3,4},{2,5,6,7}}
[6,5,2,3,1,7,4]=>[6,2,7,3,5,4,1]=>{{1,6},{2},{3,7},{4},{5}}=>{{1,5},{2,7},{3},{4},{6}}
[6,5,2,3,4,1,7]=>[2,6,3,5,7,4,1]=>{{1,2,6},{3},{4,5,7}}=>{{1,3,4},{2,6,7},{5}}
[6,5,2,3,4,7,1]=>[6,2,3,5,7,4,1]=>{{1,6},{2},{3},{4,5,7}}=>{{1,3,4},{2,7},{5},{6}}
[6,5,2,3,7,1,4]=>[6,7,2,3,5,4,1]=>{{1,6},{2,7},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}
[6,5,2,3,7,4,1]=>[6,5,2,3,7,4,1]=>{{1,6},{2,5,7},{3},{4}}=>{{1,3,6},{2,7},{4},{5}}
[6,5,2,4,1,3,7]=>[2,6,7,1,5,4,3]=>{{1,2,6},{3,7},{4},{5}}=>{{1,5},{2,6,7},{3},{4}}
[6,5,2,4,1,7,3]=>[2,1,6,5,7,4,3]=>{{1,2},{3,6},{4,5,7}}=>{{1,3,4},{2,5},{6,7}}
[6,5,2,4,3,1,7]=>[2,6,5,4,7,3,1]=>{{1,2,6},{3,5,7},{4}}=>{{1,3,5},{2,6,7},{4}}
[6,5,2,4,3,7,1]=>[6,2,5,4,7,3,1]=>{{1,6},{2},{3,5,7},{4}}=>{{1,3,5},{2,7},{4},{6}}
[6,5,2,4,7,1,3]=>[2,6,1,5,7,4,3]=>{{1,2,6},{3},{4,5,7}}=>{{1,3,4},{2,6,7},{5}}
[6,5,2,4,7,3,1]=>[6,5,2,4,7,3,1]=>{{1,6},{2,5,7},{3},{4}}=>{{1,3,6},{2,7},{4},{5}}
[6,5,2,7,1,3,4]=>[2,6,7,3,5,4,1]=>{{1,2,6},{3,7},{4},{5}}=>{{1,5},{2,6,7},{3},{4}}
[6,5,2,7,1,4,3]=>[6,2,7,1,5,4,3]=>{{1,6},{2},{3,7},{4},{5}}=>{{1,5},{2,7},{3},{4},{6}}
[6,5,2,7,3,1,4]=>[2,6,5,3,7,4,1]=>{{1,2,6},{3,5,7},{4}}=>{{1,3,5},{2,6,7},{4}}
[6,5,2,7,3,4,1]=>[6,2,5,3,7,4,1]=>{{1,6},{2},{3,5,7},{4}}=>{{1,3,5},{2,7},{4},{6}}
[6,5,2,7,4,1,3]=>[6,7,2,1,5,4,3]=>{{1,6},{2,7},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}
[6,5,2,7,4,3,1]=>[6,5,4,2,7,3,1]=>{{1,6},{2,5,7},{3,4}}=>{{1,3,6},{2,7},{4,5}}
[6,5,3,1,2,4,7]=>[1,3,6,7,5,4,2]=>{{1},{2,3,6},{4,7},{5}}=>{{1,4},{2,5,6},{3},{7}}
[6,5,3,1,2,7,4]=>[6,1,3,7,5,4,2]=>{{1,6},{2},{3},{4,7},{5}}=>{{1,4},{2,7},{3},{5},{6}}
[6,5,3,1,4,2,7]=>[3,6,1,7,5,4,2]=>{{1,3},{2,6},{4,7},{5}}=>{{1,4},{2,6},{3},{5,7}}
[6,5,3,1,4,7,2]=>[3,1,6,7,5,4,2]=>{{1,3,6},{2},{4,7},{5}}=>{{1,4},{2,5,7},{3},{6}}
[6,5,3,1,7,2,4]=>[1,6,3,7,5,4,2]=>{{1},{2,6},{3},{4,7},{5}}=>{{1,4},{2,6},{3},{5},{7}}
[6,5,3,1,7,4,2]=>[6,3,1,7,5,4,2]=>{{1,6},{2,3},{4,7},{5}}=>{{1,4},{2,7},{3},{5,6}}
[6,5,3,2,1,4,7]=>[3,6,7,5,4,2,1]=>{{1,3,7},{2,6},{4,5}}=>{{1,5,7},{2,6},{3,4}}
[6,5,3,2,1,7,4]=>[6,3,7,5,4,2,1]=>{{1,6},{2,3,7},{4,5}}=>{{1,5,6},{2,7},{3,4}}
[6,5,3,2,4,1,7]=>[3,6,5,7,4,2,1]=>{{1,3,5},{2,6},{4,7}}=>{{1,4},{2,6},{3,5,7}}
[6,5,3,2,4,7,1]=>[6,3,5,7,4,2,1]=>{{1,6},{2,3,5},{4,7}}=>{{1,4},{2,7},{3,5,6}}
[6,5,3,2,7,1,4]=>[6,7,3,5,4,2,1]=>{{1,6},{2,7},{3},{4,5}}=>{{1,6},{2,7},{3,4},{5}}
[6,5,3,2,7,4,1]=>[6,5,3,7,4,2,1]=>{{1,6},{2,5},{3},{4,7}}=>{{1,4},{2,7},{3,6},{5}}
[6,5,3,4,1,2,7]=>[3,6,7,1,5,4,2]=>{{1,3,7},{2,6},{4},{5}}=>{{1,5,7},{2,6},{3},{4}}
[6,5,3,4,1,7,2]=>[3,1,6,5,7,4,2]=>{{1,3,6},{2},{4,5,7}}=>{{1,3,4},{2,5,7},{6}}
[6,5,3,4,2,1,7]=>[3,6,5,4,7,2,1]=>{{1,3,5,7},{2,6},{4}}=>{{1,3,5,7},{2,6},{4}}
[6,5,3,4,2,7,1]=>[6,3,5,4,7,2,1]=>{{1,6},{2,3,5,7},{4}}=>{{1,3,5,6},{2,7},{4}}
[6,5,3,4,7,1,2]=>[3,6,1,5,7,4,2]=>{{1,3},{2,6},{4,5,7}}=>{{1,3,4},{2,6},{5,7}}
[6,5,3,4,7,2,1]=>[6,5,3,4,7,2,1]=>{{1,6},{2,5,7},{3},{4}}=>{{1,3,6},{2,7},{4},{5}}
[6,5,3,7,1,2,4]=>[1,6,7,3,5,4,2]=>{{1},{2,6},{3,7},{4},{5}}=>{{1,5},{2,6},{3},{4},{7}}
[6,5,3,7,1,4,2]=>[6,3,7,1,5,4,2]=>{{1,6},{2,3,7},{4},{5}}=>{{1,5,6},{2,7},{3},{4}}
[6,5,3,7,2,1,4]=>[6,7,5,3,4,2,1]=>{{1,6},{2,7},{3,5},{4}}=>{{1,6},{2,7},{3,5},{4}}
[6,5,3,7,2,4,1]=>[6,5,7,3,4,2,1]=>{{1,6},{2,5},{3,7},{4}}=>{{1,5},{2,7},{3,6},{4}}
[6,5,3,7,4,1,2]=>[6,7,3,1,5,4,2]=>{{1,6},{2,7},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}
[6,5,3,7,4,2,1]=>[6,5,3,2,7,4,1]=>{{1,6},{2,5,7},{3},{4}}=>{{1,3,6},{2,7},{4},{5}}
[6,5,4,1,2,3,7]=>[1,2,6,7,5,4,3]=>{{1},{2},{3,6},{4,7},{5}}=>{{1,4},{2,5},{3},{6},{7}}
[6,5,4,1,2,7,3]=>[6,1,2,7,5,4,3]=>{{1,6},{2},{3},{4,7},{5}}=>{{1,4},{2,7},{3},{5},{6}}
[6,5,4,1,3,2,7]=>[1,6,5,7,4,3,2]=>{{1},{2,6},{3,5},{4,7}}=>{{1,4},{2,6},{3,5},{7}}
[6,5,4,1,3,7,2]=>[6,1,5,7,4,3,2]=>{{1,6},{2},{3,5},{4,7}}=>{{1,4},{2,7},{3,5},{6}}
[6,5,4,1,7,2,3]=>[1,6,2,7,5,4,3]=>{{1},{2,6},{3},{4,7},{5}}=>{{1,4},{2,6},{3},{5},{7}}
[6,5,4,1,7,3,2]=>[6,5,1,7,4,3,2]=>{{1,6},{2,5},{3},{4,7}}=>{{1,4},{2,7},{3,6},{5}}
[6,5,4,2,1,3,7]=>[2,6,7,5,4,3,1]=>{{1,2,6},{3,7},{4,5}}=>{{1,5},{2,6,7},{3,4}}
[6,5,4,2,1,7,3]=>[6,2,7,5,4,3,1]=>{{1,6},{2},{3,7},{4,5}}=>{{1,5},{2,7},{3,4},{6}}
[6,5,4,2,3,1,7]=>[2,6,5,7,4,3,1]=>{{1,2,6},{3,5},{4,7}}=>{{1,4},{2,6,7},{3,5}}
[6,5,4,2,3,7,1]=>[6,2,5,7,4,3,1]=>{{1,6},{2},{3,5},{4,7}}=>{{1,4},{2,7},{3,5},{6}}
[6,5,4,2,7,1,3]=>[6,7,2,5,4,3,1]=>{{1,6},{2,7},{3},{4,5}}=>{{1,6},{2,7},{3,4},{5}}
[6,5,4,2,7,3,1]=>[6,5,2,7,4,3,1]=>{{1,6},{2,5},{3},{4,7}}=>{{1,4},{2,7},{3,6},{5}}
[6,5,4,3,1,2,7]=>[1,6,7,5,4,3,2]=>{{1},{2,6},{3,7},{4,5}}=>{{1,5},{2,6},{3,4},{7}}
[6,5,4,3,1,7,2]=>[6,1,7,5,4,3,2]=>{{1,6},{2},{3,7},{4,5}}=>{{1,5},{2,7},{3,4},{6}}
[6,5,4,3,2,1,7]=>[6,7,5,4,3,2,1]=>{{1,6},{2,7},{3,5},{4}}=>{{1,6},{2,7},{3,5},{4}}
[6,5,4,3,2,7,1]=>[6,5,7,4,3,2,1]=>{{1,6},{2,5},{3,7},{4}}=>{{1,5},{2,7},{3,6},{4}}
[6,5,4,3,7,1,2]=>[6,7,1,5,4,3,2]=>{{1,6},{2,7},{3},{4,5}}=>{{1,6},{2,7},{3,4},{5}}
[6,5,4,3,7,2,1]=>[6,5,4,7,3,2,1]=>{{1,6},{2,5},{3,4,7}}=>{{1,4,5},{2,7},{3,6}}
[6,5,4,7,1,2,3]=>[1,6,7,2,5,4,3]=>{{1},{2,6},{3,7},{4},{5}}=>{{1,5},{2,6},{3},{4},{7}}
[6,5,4,7,1,3,2]=>[6,5,7,1,4,3,2]=>{{1,6},{2,5},{3,7},{4}}=>{{1,5},{2,7},{3,6},{4}}
[6,5,4,7,2,1,3]=>[6,7,5,2,4,3,1]=>{{1,6},{2,7},{3,5},{4}}=>{{1,6},{2,7},{3,5},{4}}
[6,5,4,7,2,3,1]=>[6,5,7,2,4,3,1]=>{{1,6},{2,5},{3,7},{4}}=>{{1,5},{2,7},{3,6},{4}}
[6,5,4,7,3,1,2]=>[6,7,5,1,4,3,2]=>{{1,6},{2,7},{3,5},{4}}=>{{1,6},{2,7},{3,5},{4}}
[6,5,4,7,3,2,1]=>[6,5,4,3,7,2,1]=>{{1,6},{2,5,7},{3,4}}=>{{1,3,6},{2,7},{4,5}}
[6,5,7,1,2,3,4]=>[1,2,6,7,3,5,4]=>{{1},{2},{3,6},{4,7},{5}}=>{{1,4},{2,5},{3},{6},{7}}
[6,5,7,1,2,4,3]=>[6,1,5,7,2,4,3]=>{{1,6},{2},{3,5},{4,7}}=>{{1,4},{2,7},{3,5},{6}}
[6,5,7,1,3,2,4]=>[1,6,5,7,3,4,2]=>{{1},{2,6},{3,5},{4,7}}=>{{1,4},{2,6},{3,5},{7}}
[6,5,7,1,3,4,2]=>[6,1,5,7,3,4,2]=>{{1,6},{2},{3,5},{4,7}}=>{{1,4},{2,7},{3,5},{6}}
[6,5,7,1,4,2,3]=>[1,6,5,7,2,4,3]=>{{1},{2,6},{3,5},{4,7}}=>{{1,4},{2,6},{3,5},{7}}
[6,5,7,1,4,3,2]=>[6,5,4,7,1,3,2]=>{{1,6},{2,5},{3,4,7}}=>{{1,4,5},{2,7},{3,6}}
[6,5,7,2,1,3,4]=>[2,6,7,5,3,4,1]=>{{1,2,6},{3,7},{4,5}}=>{{1,5},{2,6,7},{3,4}}
[6,5,7,2,1,4,3]=>[6,2,7,5,1,4,3]=>{{1,6},{2},{3,7},{4,5}}=>{{1,5},{2,7},{3,4},{6}}
[6,5,7,2,3,1,4]=>[2,6,5,7,3,4,1]=>{{1,2,6},{3,5},{4,7}}=>{{1,4},{2,6,7},{3,5}}
[6,5,7,2,3,4,1]=>[6,2,5,7,3,4,1]=>{{1,6},{2},{3,5},{4,7}}=>{{1,4},{2,7},{3,5},{6}}
[6,5,7,2,4,1,3]=>[6,7,2,5,1,4,3]=>{{1,6},{2,7},{3},{4,5}}=>{{1,6},{2,7},{3,4},{5}}
[6,5,7,2,4,3,1]=>[6,5,4,7,2,3,1]=>{{1,6},{2,5},{3,4,7}}=>{{1,4,5},{2,7},{3,6}}
[6,5,7,3,1,2,4]=>[1,6,7,5,3,4,2]=>{{1},{2,6},{3,7},{4,5}}=>{{1,5},{2,6},{3,4},{7}}
[6,5,7,3,1,4,2]=>[6,3,7,5,1,4,2]=>{{1,6},{2,3,7},{4,5}}=>{{1,5,6},{2,7},{3,4}}
[6,5,7,3,2,1,4]=>[6,7,5,3,2,4,1]=>{{1,6},{2,7},{3,5},{4}}=>{{1,6},{2,7},{3,5},{4}}
[6,5,7,3,2,4,1]=>[6,5,7,3,2,4,1]=>{{1,6},{2,5},{3,7},{4}}=>{{1,5},{2,7},{3,6},{4}}
[6,5,7,3,4,1,2]=>[6,7,3,5,1,4,2]=>{{1,6},{2,7},{3},{4,5}}=>{{1,6},{2,7},{3,4},{5}}
[6,5,7,3,4,2,1]=>[6,5,3,7,2,4,1]=>{{1,6},{2,5},{3},{4,7}}=>{{1,4},{2,7},{3,6},{5}}
[6,5,7,4,1,2,3]=>[1,6,7,5,2,4,3]=>{{1},{2,6},{3,7},{4,5}}=>{{1,5},{2,6},{3,4},{7}}
[6,5,7,4,1,3,2]=>[6,5,7,4,1,3,2]=>{{1,6},{2,5},{3,7},{4}}=>{{1,5},{2,7},{3,6},{4}}
[6,5,7,4,2,1,3]=>[6,7,5,4,2,3,1]=>{{1,6},{2,7},{3,5},{4}}=>{{1,6},{2,7},{3,5},{4}}
[6,5,7,4,2,3,1]=>[6,5,7,4,2,3,1]=>{{1,6},{2,5},{3,7},{4}}=>{{1,5},{2,7},{3,6},{4}}
[6,5,7,4,3,1,2]=>[6,7,5,4,1,3,2]=>{{1,6},{2,7},{3,5},{4}}=>{{1,6},{2,7},{3,5},{4}}
[6,5,7,4,3,2,1]=>[6,5,4,3,2,7,1]=>{{1,6,7},{2,5},{3,4}}=>{{1,2,7},{3,6},{4,5}}
[6,7,1,2,3,4,5]=>[1,2,3,6,7,4,5]=>{{1},{2},{3},{4,6},{5,7}}=>{{1,3},{2,4},{5},{6},{7}}
[6,7,1,2,3,5,4]=>[6,1,2,5,7,3,4]=>{{1,6},{2},{3},{4,5,7}}=>{{1,3,4},{2,7},{5},{6}}
[6,7,1,2,4,3,5]=>[1,6,2,4,7,3,5]=>{{1},{2,6},{3},{4},{5,7}}=>{{1,3},{2,6},{4},{5},{7}}
[6,7,1,2,4,5,3]=>[6,1,2,4,7,3,5]=>{{1,6},{2},{3},{4},{5,7}}=>{{1,3},{2,7},{4},{5},{6}}
[6,7,1,2,5,3,4]=>[1,6,2,5,7,3,4]=>{{1},{2,6},{3},{4,5,7}}=>{{1,3,4},{2,6},{5},{7}}
[6,7,1,2,5,4,3]=>[6,5,1,4,7,2,3]=>{{1,6},{2,5,7},{3},{4}}=>{{1,3,6},{2,7},{4},{5}}
[6,7,1,3,2,4,5]=>[1,3,6,4,7,2,5]=>{{1},{2,3,6},{4},{5,7}}=>{{1,3},{2,5,6},{4},{7}}
[6,7,1,3,2,5,4]=>[6,1,7,3,5,2,4]=>{{1,6},{2},{3,7},{4},{5}}=>{{1,5},{2,7},{3},{4},{6}}
[6,7,1,3,4,2,5]=>[1,6,3,4,7,2,5]=>{{1},{2,6},{3},{4},{5,7}}=>{{1,3},{2,6},{4},{5},{7}}
[6,7,1,3,4,5,2]=>[6,1,3,4,7,2,5]=>{{1,6},{2},{3},{4},{5,7}}=>{{1,3},{2,7},{4},{5},{6}}
[6,7,1,3,5,2,4]=>[6,7,1,3,5,2,4]=>{{1,6},{2,7},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}
[6,7,1,3,5,4,2]=>[6,5,1,3,7,2,4]=>{{1,6},{2,5,7},{3},{4}}=>{{1,3,6},{2,7},{4},{5}}
[6,7,1,4,2,3,5]=>[1,2,6,4,7,3,5]=>{{1},{2},{3,6},{4},{5,7}}=>{{1,3},{2,5},{4},{6},{7}}
[6,7,1,4,2,5,3]=>[6,1,7,4,5,2,3]=>{{1,6},{2},{3,7},{4},{5}}=>{{1,5},{2,7},{3},{4},{6}}
[6,7,1,4,3,2,5]=>[1,6,4,3,7,2,5]=>{{1},{2,6},{3,4},{5,7}}=>{{1,3},{2,6},{4,5},{7}}
[6,7,1,4,3,5,2]=>[6,1,4,3,7,2,5]=>{{1,6},{2},{3,4},{5,7}}=>{{1,3},{2,7},{4,5},{6}}
[6,7,1,4,5,2,3]=>[6,7,1,4,5,2,3]=>{{1,6},{2,7},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}
[6,7,1,4,5,3,2]=>[6,4,1,3,7,2,5]=>{{1,6},{2,4},{3},{5,7}}=>{{1,3},{2,7},{4,6},{5}}
[6,7,1,5,2,3,4]=>[1,2,6,5,7,3,4]=>{{1},{2},{3,6},{4,5,7}}=>{{1,3,4},{2,5},{6},{7}}
[6,7,1,5,2,4,3]=>[6,1,5,4,7,2,3]=>{{1,6},{2},{3,5,7},{4}}=>{{1,3,5},{2,7},{4},{6}}
[6,7,1,5,3,2,4]=>[1,6,5,3,7,2,4]=>{{1},{2,6},{3,5,7},{4}}=>{{1,3,5},{2,6},{4},{7}}
[6,7,1,5,3,4,2]=>[6,1,5,3,7,2,4]=>{{1,6},{2},{3,5,7},{4}}=>{{1,3,5},{2,7},{4},{6}}
[6,7,1,5,4,2,3]=>[1,6,5,4,7,2,3]=>{{1},{2,6},{3,5,7},{4}}=>{{1,3,5},{2,6},{4},{7}}
[6,7,1,5,4,3,2]=>[6,5,4,3,7,1,2]=>{{1,6},{2,5,7},{3,4}}=>{{1,3,6},{2,7},{4,5}}
[6,7,2,1,3,4,5]=>[2,3,6,7,4,1,5]=>{{1,2,3,6},{4,7},{5}}=>{{1,4},{2,5,6,7},{3}}
[6,7,2,1,3,5,4]=>[6,2,3,7,5,1,4]=>{{1,6},{2},{3},{4,7},{5}}=>{{1,4},{2,7},{3},{5},{6}}
[6,7,2,1,4,3,5]=>[2,6,4,7,5,1,3]=>{{1,2,6},{3,4,7},{5}}=>{{1,4,5},{2,6,7},{3}}
[6,7,2,1,4,5,3]=>[6,2,4,7,5,1,3]=>{{1,6},{2},{3,4,7},{5}}=>{{1,4,5},{2,7},{3},{6}}
[6,7,2,1,5,3,4]=>[2,6,3,7,5,1,4]=>{{1,2,6},{3},{4,7},{5}}=>{{1,4},{2,6,7},{3},{5}}
[6,7,2,1,5,4,3]=>[6,5,2,7,4,1,3]=>{{1,6},{2,5},{3},{4,7}}=>{{1,4},{2,7},{3,6},{5}}
[6,7,2,3,1,4,5]=>[2,3,6,4,7,1,5]=>{{1,2,3,6},{4},{5,7}}=>{{1,3},{2,5,6,7},{4}}
[6,7,2,3,1,5,4]=>[6,2,7,3,5,1,4]=>{{1,6},{2},{3,7},{4},{5}}=>{{1,5},{2,7},{3},{4},{6}}
[6,7,2,3,4,1,5]=>[2,6,3,4,7,1,5]=>{{1,2,6},{3},{4},{5,7}}=>{{1,3},{2,6,7},{4},{5}}
[6,7,2,3,4,5,1]=>[6,2,3,4,7,1,5]=>{{1,6},{2},{3},{4},{5,7}}=>{{1,3},{2,7},{4},{5},{6}}
[6,7,2,3,5,1,4]=>[6,7,2,3,5,1,4]=>{{1,6},{2,7},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}
[6,7,2,3,5,4,1]=>[6,5,2,3,7,1,4]=>{{1,6},{2,5,7},{3},{4}}=>{{1,3,6},{2,7},{4},{5}}
[6,7,2,4,1,3,5]=>[2,6,7,4,5,1,3]=>{{1,2,6},{3,7},{4},{5}}=>{{1,5},{2,6,7},{3},{4}}
[6,7,2,4,1,5,3]=>[6,2,7,4,5,1,3]=>{{1,6},{2},{3,7},{4},{5}}=>{{1,5},{2,7},{3},{4},{6}}
[6,7,2,4,3,1,5]=>[2,6,4,3,7,1,5]=>{{1,2,6},{3,4},{5,7}}=>{{1,3},{2,6,7},{4,5}}
[6,7,2,4,3,5,1]=>[6,2,4,3,7,1,5]=>{{1,6},{2},{3,4},{5,7}}=>{{1,3},{2,7},{4,5},{6}}
[6,7,2,4,5,1,3]=>[6,7,2,4,5,1,3]=>{{1,6},{2,7},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}
[6,7,2,4,5,3,1]=>[6,4,2,3,7,1,5]=>{{1,6},{2,4},{3},{5,7}}=>{{1,3},{2,7},{4,6},{5}}
[6,7,2,5,1,3,4]=>[2,6,7,3,5,1,4]=>{{1,2,6},{3,7},{4},{5}}=>{{1,5},{2,6,7},{3},{4}}
[6,7,2,5,1,4,3]=>[6,5,7,2,4,1,3]=>{{1,6},{2,5},{3,7},{4}}=>{{1,5},{2,7},{3,6},{4}}
[6,7,2,5,3,1,4]=>[2,6,5,3,7,1,4]=>{{1,2,6},{3,5,7},{4}}=>{{1,3,5},{2,6,7},{4}}
[6,7,2,5,3,4,1]=>[6,2,5,3,7,1,4]=>{{1,6},{2},{3,5,7},{4}}=>{{1,3,5},{2,7},{4},{6}}
[6,7,2,5,4,1,3]=>[6,7,5,2,4,1,3]=>{{1,6},{2,7},{3,5},{4}}=>{{1,6},{2,7},{3,5},{4}}
[6,7,2,5,4,3,1]=>[6,5,4,2,7,1,3]=>{{1,6},{2,5,7},{3,4}}=>{{1,3,6},{2,7},{4,5}}
[6,7,3,1,2,4,5]=>[1,3,6,7,4,2,5]=>{{1},{2,3,6},{4,7},{5}}=>{{1,4},{2,5,6},{3},{7}}
[6,7,3,1,2,5,4]=>[6,1,3,7,5,2,4]=>{{1,6},{2},{3},{4,7},{5}}=>{{1,4},{2,7},{3},{5},{6}}
[6,7,3,1,4,2,5]=>[3,6,4,7,5,1,2]=>{{1,3,4,7},{2,6},{5}}=>{{1,4,5,7},{2,6},{3}}
[6,7,3,1,4,5,2]=>[6,3,4,7,5,1,2]=>{{1,6},{2,3,4,7},{5}}=>{{1,4,5,6},{2,7},{3}}
[6,7,3,1,5,2,4]=>[1,6,3,7,5,2,4]=>{{1},{2,6},{3},{4,7},{5}}=>{{1,4},{2,6},{3},{5},{7}}
[6,7,3,1,5,4,2]=>[6,5,3,7,4,1,2]=>{{1,6},{2,5},{3},{4,7}}=>{{1,4},{2,7},{3,6},{5}}
[6,7,3,2,1,4,5]=>[3,6,7,4,2,1,5]=>{{1,3,7},{2,6},{4},{5}}=>{{1,5,7},{2,6},{3},{4}}
[6,7,3,2,1,5,4]=>[6,3,7,5,2,1,4]=>{{1,6},{2,3,7},{4,5}}=>{{1,5,6},{2,7},{3,4}}
[6,7,3,2,4,1,5]=>[3,6,4,7,2,1,5]=>{{1,3,4,7},{2,6},{5}}=>{{1,4,5,7},{2,6},{3}}
[6,7,3,2,4,5,1]=>[6,3,4,7,2,1,5]=>{{1,6},{2,3,4,7},{5}}=>{{1,4,5,6},{2,7},{3}}
[6,7,3,2,5,1,4]=>[6,7,3,5,2,1,4]=>{{1,6},{2,7},{3},{4,5}}=>{{1,6},{2,7},{3,4},{5}}
[6,7,3,2,5,4,1]=>[6,3,2,7,5,1,4]=>{{1,6},{2,3},{4,7},{5}}=>{{1,4},{2,7},{3},{5,6}}
[6,7,3,4,1,2,5]=>[3,6,7,4,5,1,2]=>{{1,3,7},{2,6},{4},{5}}=>{{1,5,7},{2,6},{3},{4}}
[6,7,3,4,1,5,2]=>[6,3,7,4,5,1,2]=>{{1,6},{2,3,7},{4},{5}}=>{{1,5,6},{2,7},{3},{4}}
[6,7,3,4,2,1,5]=>[3,6,4,2,7,1,5]=>{{1,3,4},{2,6},{5,7}}=>{{1,3},{2,6},{4,5,7}}
[6,7,3,4,2,5,1]=>[6,3,4,2,7,1,5]=>{{1,6},{2,3,4},{5,7}}=>{{1,3},{2,7},{4,5,6}}
[6,7,3,4,5,1,2]=>[6,7,3,4,5,1,2]=>{{1,6},{2,7},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}
[6,7,3,4,5,2,1]=>[6,3,2,4,7,1,5]=>{{1,6},{2,3},{4},{5,7}}=>{{1,3},{2,7},{4},{5,6}}
[6,7,3,5,1,2,4]=>[1,6,7,3,5,2,4]=>{{1},{2,6},{3,7},{4},{5}}=>{{1,5},{2,6},{3},{4},{7}}
[6,7,3,5,1,4,2]=>[6,5,7,3,4,1,2]=>{{1,6},{2,5},{3,7},{4}}=>{{1,5},{2,7},{3,6},{4}}
[6,7,3,5,2,1,4]=>[6,7,3,2,5,1,4]=>{{1,6},{2,7},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}
[6,7,3,5,2,4,1]=>[6,3,7,2,5,1,4]=>{{1,6},{2,3,7},{4},{5}}=>{{1,5,6},{2,7},{3},{4}}
[6,7,3,5,4,1,2]=>[6,7,5,3,4,1,2]=>{{1,6},{2,7},{3,5},{4}}=>{{1,6},{2,7},{3,5},{4}}
[6,7,3,5,4,2,1]=>[6,5,3,2,7,1,4]=>{{1,6},{2,5,7},{3},{4}}=>{{1,3,6},{2,7},{4},{5}}
[6,7,4,1,2,3,5]=>[1,2,6,7,4,3,5]=>{{1},{2},{3,6},{4,7},{5}}=>{{1,4},{2,5},{3},{6},{7}}
[6,7,4,1,2,5,3]=>[6,1,4,7,5,2,3]=>{{1,6},{2},{3,4,7},{5}}=>{{1,4,5},{2,7},{3},{6}}
[6,7,4,1,3,2,5]=>[1,6,4,7,3,2,5]=>{{1},{2,6},{3,4,7},{5}}=>{{1,4,5},{2,6},{3},{7}}
[6,7,4,1,3,5,2]=>[6,1,4,7,3,2,5]=>{{1,6},{2},{3,4,7},{5}}=>{{1,4,5},{2,7},{3},{6}}
[6,7,4,1,5,2,3]=>[1,6,4,7,5,2,3]=>{{1},{2,6},{3,4,7},{5}}=>{{1,4,5},{2,6},{3},{7}}
[6,7,4,1,5,3,2]=>[6,4,3,7,5,1,2]=>{{1,6},{2,4,7},{3},{5}}=>{{1,4,6},{2,7},{3},{5}}
[6,7,4,2,1,3,5]=>[2,6,7,4,3,1,5]=>{{1,2,6},{3,7},{4},{5}}=>{{1,5},{2,6,7},{3},{4}}
[6,7,4,2,1,5,3]=>[6,4,7,5,2,1,3]=>{{1,6},{2,4,5},{3,7}}=>{{1,5},{2,7},{3,4,6}}
[6,7,4,2,3,1,5]=>[2,6,4,7,3,1,5]=>{{1,2,6},{3,4,7},{5}}=>{{1,4,5},{2,6,7},{3}}
[6,7,4,2,3,5,1]=>[6,2,4,7,3,1,5]=>{{1,6},{2},{3,4,7},{5}}=>{{1,4,5},{2,7},{3},{6}}
[6,7,4,2,5,1,3]=>[6,7,4,5,2,1,3]=>{{1,6},{2,7},{3,4,5}}=>{{1,6},{2,7},{3,4,5}}
[6,7,4,2,5,3,1]=>[6,4,2,7,5,1,3]=>{{1,6},{2,4,7},{3},{5}}=>{{1,4,6},{2,7},{3},{5}}
[6,7,4,3,1,2,5]=>[1,6,7,4,3,2,5]=>{{1},{2,6},{3,7},{4},{5}}=>{{1,5},{2,6},{3},{4},{7}}
[6,7,4,3,1,5,2]=>[6,4,7,5,3,1,2]=>{{1,6},{2,4,5},{3,7}}=>{{1,5},{2,7},{3,4,6}}
[6,7,4,3,2,1,5]=>[6,7,4,3,2,1,5]=>{{1,6},{2,7},{3,4},{5}}=>{{1,6},{2,7},{3},{4,5}}
[6,7,4,3,2,5,1]=>[6,4,7,3,2,1,5]=>{{1,6},{2,4},{3,7},{5}}=>{{1,5},{2,7},{3},{4,6}}
[6,7,4,3,5,1,2]=>[6,7,4,5,3,1,2]=>{{1,6},{2,7},{3,4,5}}=>{{1,6},{2,7},{3,4,5}}
[6,7,4,3,5,2,1]=>[6,4,3,7,2,1,5]=>{{1,6},{2,4,7},{3},{5}}=>{{1,4,6},{2,7},{3},{5}}
[6,7,4,5,1,2,3]=>[1,6,7,4,5,2,3]=>{{1},{2,6},{3,7},{4},{5}}=>{{1,5},{2,6},{3},{4},{7}}
[6,7,4,5,1,3,2]=>[6,4,7,3,5,1,2]=>{{1,6},{2,4},{3,7},{5}}=>{{1,5},{2,7},{3},{4,6}}
[6,7,4,5,2,1,3]=>[6,7,4,2,5,1,3]=>{{1,6},{2,7},{3,4},{5}}=>{{1,6},{2,7},{3},{4,5}}
[6,7,4,5,2,3,1]=>[6,4,7,2,5,1,3]=>{{1,6},{2,4},{3,7},{5}}=>{{1,5},{2,7},{3},{4,6}}
[6,7,4,5,3,1,2]=>[6,7,4,3,5,1,2]=>{{1,6},{2,7},{3,4},{5}}=>{{1,6},{2,7},{3},{4,5}}
[6,7,4,5,3,2,1]=>[6,4,3,2,7,1,5]=>{{1,6},{2,4},{3},{5,7}}=>{{1,3},{2,7},{4,6},{5}}
[6,7,5,1,2,3,4]=>[1,2,6,7,5,3,4]=>{{1},{2},{3,6},{4,7},{5}}=>{{1,4},{2,5},{3},{6},{7}}
[6,7,5,1,2,4,3]=>[6,1,5,7,4,2,3]=>{{1,6},{2},{3,5},{4,7}}=>{{1,4},{2,7},{3,5},{6}}
[6,7,5,1,3,2,4]=>[1,6,5,7,3,2,4]=>{{1},{2,6},{3,5},{4,7}}=>{{1,4},{2,6},{3,5},{7}}
[6,7,5,1,3,4,2]=>[6,1,5,7,3,2,4]=>{{1,6},{2},{3,5},{4,7}}=>{{1,4},{2,7},{3,5},{6}}
[6,7,5,1,4,2,3]=>[1,6,5,7,4,2,3]=>{{1},{2,6},{3,5},{4,7}}=>{{1,4},{2,6},{3,5},{7}}
[6,7,5,1,4,3,2]=>[6,5,4,7,3,1,2]=>{{1,6},{2,5},{3,4,7}}=>{{1,4,5},{2,7},{3,6}}
[6,7,5,2,1,3,4]=>[2,6,7,5,3,1,4]=>{{1,2,6},{3,7},{4,5}}=>{{1,5},{2,6,7},{3,4}}
[6,7,5,2,1,4,3]=>[6,2,7,5,4,1,3]=>{{1,6},{2},{3,7},{4,5}}=>{{1,5},{2,7},{3,4},{6}}
[6,7,5,2,3,1,4]=>[2,6,5,7,3,1,4]=>{{1,2,6},{3,5},{4,7}}=>{{1,4},{2,6,7},{3,5}}
[6,7,5,2,3,4,1]=>[6,2,5,7,3,1,4]=>{{1,6},{2},{3,5},{4,7}}=>{{1,4},{2,7},{3,5},{6}}
[6,7,5,2,4,1,3]=>[6,7,2,5,4,1,3]=>{{1,6},{2,7},{3},{4,5}}=>{{1,6},{2,7},{3,4},{5}}
[6,7,5,2,4,3,1]=>[6,5,4,7,2,1,3]=>{{1,6},{2,5},{3,4,7}}=>{{1,4,5},{2,7},{3,6}}
[6,7,5,3,1,2,4]=>[1,6,7,5,3,2,4]=>{{1},{2,6},{3,7},{4,5}}=>{{1,5},{2,6},{3,4},{7}}
[6,7,5,3,1,4,2]=>[6,3,7,5,4,1,2]=>{{1,6},{2,3,7},{4,5}}=>{{1,5,6},{2,7},{3,4}}
[6,7,5,3,2,1,4]=>[6,7,5,3,2,1,4]=>{{1,6},{2,7},{3,5},{4}}=>{{1,6},{2,7},{3,5},{4}}
[6,7,5,3,2,4,1]=>[6,5,7,3,2,1,4]=>{{1,6},{2,5},{3,7},{4}}=>{{1,5},{2,7},{3,6},{4}}
[6,7,5,3,4,1,2]=>[6,7,3,5,4,1,2]=>{{1,6},{2,7},{3},{4,5}}=>{{1,6},{2,7},{3,4},{5}}
[6,7,5,3,4,2,1]=>[6,5,3,7,2,1,4]=>{{1,6},{2,5},{3},{4,7}}=>{{1,4},{2,7},{3,6},{5}}
[6,7,5,4,1,2,3]=>[1,6,7,5,4,2,3]=>{{1},{2,6},{3,7},{4,5}}=>{{1,5},{2,6},{3,4},{7}}
[6,7,5,4,1,3,2]=>[6,5,7,4,3,1,2]=>{{1,6},{2,5},{3,7},{4}}=>{{1,5},{2,7},{3,6},{4}}
[6,7,5,4,2,1,3]=>[6,7,5,4,2,1,3]=>{{1,6},{2,7},{3,5},{4}}=>{{1,6},{2,7},{3,5},{4}}
[6,7,5,4,2,3,1]=>[6,5,7,4,2,1,3]=>{{1,6},{2,5},{3,7},{4}}=>{{1,5},{2,7},{3,6},{4}}
[6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2]=>{{1,6},{2,7},{3,5},{4}}=>{{1,6},{2,7},{3,5},{4}}
[6,7,5,4,3,2,1]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1},{2,7},{3,6},{4,5}}
[7,1,2,3,4,5,6]=>[1,2,3,4,5,7,6]=>{{1},{2},{3},{4},{5},{6,7}}=>{{1,2},{3},{4},{5},{6},{7}}
[7,1,2,3,4,6,5]=>[7,1,2,3,4,6,5]=>{{1,7},{2},{3},{4},{5},{6}}=>{{1,7},{2},{3},{4},{5},{6}}
[7,1,2,3,5,4,6]=>[1,7,2,3,5,6,4]=>{{1},{2,7},{3},{4},{5},{6}}=>{{1,6},{2},{3},{4},{5},{7}}
[7,1,2,3,5,6,4]=>[7,1,2,3,5,6,4]=>{{1,7},{2},{3},{4},{5},{6}}=>{{1,7},{2},{3},{4},{5},{6}}
[7,1,2,3,6,4,5]=>[1,7,2,3,4,6,5]=>{{1},{2,7},{3},{4},{5},{6}}=>{{1,6},{2},{3},{4},{5},{7}}
[7,1,2,3,6,5,4]=>[7,6,1,2,3,5,4]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[7,1,2,4,3,5,6]=>[1,2,7,4,5,6,3]=>{{1},{2},{3,7},{4},{5},{6}}=>{{1,5},{2},{3},{4},{6},{7}}
[7,1,2,4,3,6,5]=>[4,1,7,2,3,6,5]=>{{1,4},{2},{3,7},{5},{6}}=>{{1,5},{2},{3},{4,7},{6}}
[7,1,2,4,5,3,6]=>[1,7,2,4,5,6,3]=>{{1},{2,7},{3},{4},{5},{6}}=>{{1,6},{2},{3},{4},{5},{7}}
[7,1,2,4,5,6,3]=>[7,1,2,4,5,6,3]=>{{1,7},{2},{3},{4},{5},{6}}=>{{1,7},{2},{3},{4},{5},{6}}
[7,1,2,4,6,3,5]=>[4,7,1,2,3,6,5]=>{{1,4},{2,7},{3},{5},{6}}=>{{1,6},{2},{3},{4,7},{5}}
[7,1,2,4,6,5,3]=>[7,6,1,2,4,5,3]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[7,1,2,5,3,4,6]=>[1,2,7,3,5,6,4]=>{{1},{2},{3,7},{4},{5},{6}}=>{{1,5},{2},{3},{4},{6},{7}}
[7,1,2,5,3,6,4]=>[5,1,7,2,3,6,4]=>{{1,5},{2},{3,7},{4},{6}}=>{{1,5},{2},{3,7},{4},{6}}
[7,1,2,5,4,3,6]=>[1,7,5,2,4,6,3]=>{{1},{2,7},{3,5},{4},{6}}=>{{1,6},{2},{3,5},{4},{7}}
[7,1,2,5,4,6,3]=>[7,1,5,2,4,6,3]=>{{1,7},{2},{3,5},{4},{6}}=>{{1,7},{2},{3,5},{4},{6}}
[7,1,2,5,6,3,4]=>[5,7,1,2,3,6,4]=>{{1,5},{2,7},{3},{4},{6}}=>{{1,6},{2},{3,7},{4},{5}}
[7,1,2,5,6,4,3]=>[7,5,1,2,4,6,3]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,7},{2},{3,6},{4},{5}}
[7,1,2,6,3,4,5]=>[1,2,7,3,4,6,5]=>{{1},{2},{3,7},{4},{5},{6}}=>{{1,5},{2},{3},{4},{6},{7}}
[7,1,2,6,3,5,4]=>[7,1,6,2,3,5,4]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,7},{2,5},{3},{4},{6}}
[7,1,2,6,4,3,5]=>[1,7,6,2,4,5,3]=>{{1},{2,7},{3,6},{4},{5}}=>{{1,6},{2,5},{3},{4},{7}}
[7,1,2,6,4,5,3]=>[7,1,6,2,4,5,3]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,7},{2,5},{3},{4},{6}}
[7,1,2,6,5,3,4]=>[1,7,6,2,3,5,4]=>{{1},{2,7},{3,6},{4},{5}}=>{{1,6},{2,5},{3},{4},{7}}
[7,1,2,6,5,4,3]=>[7,6,5,1,2,4,3]=>{{1,7},{2,6},{3,5},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,1,3,2,4,5,6]=>[1,3,4,7,5,6,2]=>{{1},{2,3,4,7},{5},{6}}=>{{1,4,5,6},{2},{3},{7}}
[7,1,3,2,4,6,5]=>[3,1,2,7,4,6,5]=>{{1,3},{2},{4,7},{5},{6}}=>{{1,4},{2},{3},{5,7},{6}}
[7,1,3,2,5,4,6]=>[1,3,2,7,5,6,4]=>{{1},{2,3},{4,7},{5},{6}}=>{{1,4},{2},{3},{5,6},{7}}
[7,1,3,2,5,6,4]=>[3,1,2,7,5,6,4]=>{{1,3},{2},{4,7},{5},{6}}=>{{1,4},{2},{3},{5,7},{6}}
[7,1,3,2,6,4,5]=>[1,3,2,7,4,6,5]=>{{1},{2,3},{4,7},{5},{6}}=>{{1,4},{2},{3},{5,6},{7}}
[7,1,3,2,6,5,4]=>[7,3,1,6,2,5,4]=>{{1,7},{2,3},{4,6},{5}}=>{{1,7},{2,4},{3},{5,6}}
[7,1,3,4,2,5,6]=>[1,3,7,4,5,6,2]=>{{1},{2,3,7},{4},{5},{6}}=>{{1,5,6},{2},{3},{4},{7}}
[7,1,3,4,2,6,5]=>[3,1,7,2,4,6,5]=>{{1,3,7},{2},{4},{5},{6}}=>{{1,5,7},{2},{3},{4},{6}}
[7,1,3,4,5,2,6]=>[1,7,3,4,5,6,2]=>{{1},{2,7},{3},{4},{5},{6}}=>{{1,6},{2},{3},{4},{5},{7}}
[7,1,3,4,5,6,2]=>[7,1,3,4,5,6,2]=>{{1,7},{2},{3},{4},{5},{6}}=>{{1,7},{2},{3},{4},{5},{6}}
[7,1,3,4,6,2,5]=>[3,7,1,2,4,6,5]=>{{1,3},{2,7},{4},{5},{6}}=>{{1,6},{2},{3},{4},{5,7}}
[7,1,3,4,6,5,2]=>[7,6,1,3,4,5,2]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[7,1,3,5,2,4,6]=>[1,3,7,2,5,6,4]=>{{1},{2,3,7},{4},{5},{6}}=>{{1,5,6},{2},{3},{4},{7}}
[7,1,3,5,2,6,4]=>[3,1,7,2,5,6,4]=>{{1,3,7},{2},{4},{5},{6}}=>{{1,5,7},{2},{3},{4},{6}}
[7,1,3,5,4,2,6]=>[1,7,5,3,4,6,2]=>{{1},{2,7},{3,5},{4},{6}}=>{{1,6},{2},{3,5},{4},{7}}
[7,1,3,5,4,6,2]=>[7,1,5,3,4,6,2]=>{{1,7},{2},{3,5},{4},{6}}=>{{1,7},{2},{3,5},{4},{6}}
[7,1,3,5,6,2,4]=>[3,7,1,2,5,6,4]=>{{1,3},{2,7},{4},{5},{6}}=>{{1,6},{2},{3},{4},{5,7}}
[7,1,3,5,6,4,2]=>[7,5,1,3,4,6,2]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,7},{2},{3,6},{4},{5}}
[7,1,3,6,2,4,5]=>[1,3,7,2,4,6,5]=>{{1},{2,3,7},{4},{5},{6}}=>{{1,5,6},{2},{3},{4},{7}}
[7,1,3,6,2,5,4]=>[7,3,6,1,2,5,4]=>{{1,7},{2,3,6},{4},{5}}=>{{1,7},{2,5,6},{3},{4}}
[7,1,3,6,4,2,5]=>[1,7,6,3,4,5,2]=>{{1},{2,7},{3,6},{4},{5}}=>{{1,6},{2,5},{3},{4},{7}}
[7,1,3,6,4,5,2]=>[7,1,6,3,4,5,2]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,7},{2,5},{3},{4},{6}}
[7,1,3,6,5,2,4]=>[3,7,6,1,2,5,4]=>{{1,3,6},{2,7},{4},{5}}=>{{1,6},{2,5,7},{3},{4}}
[7,1,3,6,5,4,2]=>[7,6,5,1,3,4,2]=>{{1,7},{2,6},{3,5},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,1,4,2,3,5,6]=>[1,2,4,7,5,6,3]=>{{1},{2},{3,4,7},{5},{6}}=>{{1,4,5},{2},{3},{6},{7}}
[7,1,4,2,3,6,5]=>[4,1,2,7,3,6,5]=>{{1,4,7},{2},{3},{5},{6}}=>{{1,4,7},{2},{3},{5},{6}}
[7,1,4,2,5,3,6]=>[1,4,2,7,5,6,3]=>{{1},{2,4,7},{3},{5},{6}}=>{{1,4,6},{2},{3},{5},{7}}
[7,1,4,2,5,6,3]=>[4,1,2,7,5,6,3]=>{{1,4,7},{2},{3},{5},{6}}=>{{1,4,7},{2},{3},{5},{6}}
[7,1,4,2,6,3,5]=>[1,4,2,7,3,6,5]=>{{1},{2,4,7},{3},{5},{6}}=>{{1,4,6},{2},{3},{5},{7}}
[7,1,4,2,6,5,3]=>[7,4,1,6,2,5,3]=>{{1,7},{2,4,6},{3},{5}}=>{{1,7},{2,4,6},{3},{5}}
[7,1,4,3,2,5,6]=>[1,4,7,5,3,6,2]=>{{1},{2,4,5},{3,7},{6}}=>{{1,5},{2},{3,4,6},{7}}
[7,1,4,3,2,6,5]=>[4,1,7,6,3,5,2]=>{{1,4,6},{2},{3,7},{5}}=>{{1,5},{2,4,7},{3},{6}}
[7,1,4,3,5,2,6]=>[1,7,4,5,3,6,2]=>{{1},{2,7},{3,4,5},{6}}=>{{1,6},{2},{3,4,5},{7}}
[7,1,4,3,5,6,2]=>[7,1,4,5,3,6,2]=>{{1,7},{2},{3,4,5},{6}}=>{{1,7},{2},{3,4,5},{6}}
[7,1,4,3,6,2,5]=>[4,7,1,6,3,5,2]=>{{1,4,6},{2,7},{3},{5}}=>{{1,6},{2,4,7},{3},{5}}
[7,1,4,3,6,5,2]=>[7,4,1,6,3,5,2]=>{{1,7},{2,4,6},{3},{5}}=>{{1,7},{2,4,6},{3},{5}}
[7,1,4,5,2,3,6]=>[1,4,7,2,5,6,3]=>{{1},{2,4},{3,7},{5},{6}}=>{{1,5},{2},{3},{4,6},{7}}
[7,1,4,5,2,6,3]=>[4,1,7,2,5,6,3]=>{{1,4},{2},{3,7},{5},{6}}=>{{1,5},{2},{3},{4,7},{6}}
[7,1,4,5,3,2,6]=>[1,7,4,3,5,6,2]=>{{1},{2,7},{3,4},{5},{6}}=>{{1,6},{2},{3},{4,5},{7}}
[7,1,4,5,3,6,2]=>[7,1,4,3,5,6,2]=>{{1,7},{2},{3,4},{5},{6}}=>{{1,7},{2},{3},{4,5},{6}}
[7,1,4,5,6,2,3]=>[4,7,1,2,5,6,3]=>{{1,4},{2,7},{3},{5},{6}}=>{{1,6},{2},{3},{4,7},{5}}
[7,1,4,5,6,3,2]=>[7,4,1,3,5,6,2]=>{{1,7},{2,4},{3},{5},{6}}=>{{1,7},{2},{3},{4,6},{5}}
[7,1,4,6,2,3,5]=>[1,4,7,2,3,6,5]=>{{1},{2,4},{3,7},{5},{6}}=>{{1,5},{2},{3},{4,6},{7}}
[7,1,4,6,2,5,3]=>[7,4,6,1,2,5,3]=>{{1,7},{2,4},{3,6},{5}}=>{{1,7},{2,5},{3},{4,6}}
[7,1,4,6,3,2,5]=>[4,7,6,1,3,5,2]=>{{1,4},{2,7},{3,6},{5}}=>{{1,6},{2,5},{3},{4,7}}
[7,1,4,6,3,5,2]=>[7,4,6,1,3,5,2]=>{{1,7},{2,4},{3,6},{5}}=>{{1,7},{2,5},{3},{4,6}}
[7,1,4,6,5,2,3]=>[4,7,6,1,2,5,3]=>{{1,4},{2,7},{3,6},{5}}=>{{1,6},{2,5},{3},{4,7}}
[7,1,4,6,5,3,2]=>[7,6,4,1,3,5,2]=>{{1,7},{2,6},{3,4},{5}}=>{{1,7},{2,6},{3},{4,5}}
[7,1,5,2,3,4,6]=>[1,2,3,7,5,6,4]=>{{1},{2},{3},{4,7},{5},{6}}=>{{1,4},{2},{3},{5},{6},{7}}
[7,1,5,2,3,6,4]=>[5,1,2,7,3,6,4]=>{{1,5},{2},{3},{4,7},{6}}=>{{1,4},{2},{3,7},{5},{6}}
[7,1,5,2,4,3,6]=>[1,7,2,5,4,6,3]=>{{1},{2,7},{3},{4,5},{6}}=>{{1,6},{2},{3,4},{5},{7}}
[7,1,5,2,4,6,3]=>[7,1,2,5,4,6,3]=>{{1,7},{2},{3},{4,5},{6}}=>{{1,7},{2},{3,4},{5},{6}}
[7,1,5,2,6,3,4]=>[1,5,2,7,3,6,4]=>{{1},{2,5},{3},{4,7},{6}}=>{{1,4},{2},{3,6},{5},{7}}
[7,1,5,2,6,4,3]=>[7,5,1,6,2,4,3]=>{{1,7},{2,5},{3},{4,6}}=>{{1,7},{2,4},{3,6},{5}}
[7,1,5,3,2,4,6]=>[1,3,7,5,4,6,2]=>{{1},{2,3,7},{4,5},{6}}=>{{1,5,6},{2},{3,4},{7}}
[7,1,5,3,2,6,4]=>[5,1,7,6,3,4,2]=>{{1,5},{2},{3,7},{4,6}}=>{{1,5},{2,4},{3,7},{6}}
[7,1,5,3,4,2,6]=>[1,7,3,5,4,6,2]=>{{1},{2,7},{3},{4,5},{6}}=>{{1,6},{2},{3,4},{5},{7}}
[7,1,5,3,4,6,2]=>[7,1,3,5,4,6,2]=>{{1,7},{2},{3},{4,5},{6}}=>{{1,7},{2},{3,4},{5},{6}}
[7,1,5,3,6,2,4]=>[5,7,1,6,3,4,2]=>{{1,5},{2,7},{3},{4,6}}=>{{1,6},{2,4},{3,7},{5}}
[7,1,5,3,6,4,2]=>[7,5,1,6,3,4,2]=>{{1,7},{2,5},{3},{4,6}}=>{{1,7},{2,4},{3,6},{5}}
[7,1,5,4,2,3,6]=>[1,2,7,5,4,6,3]=>{{1},{2},{3,7},{4,5},{6}}=>{{1,5},{2},{3,4},{6},{7}}
[7,1,5,4,2,6,3]=>[5,1,7,6,2,4,3]=>{{1,5},{2},{3,7},{4,6}}=>{{1,5},{2,4},{3,7},{6}}
[7,1,5,4,3,2,6]=>[1,7,5,4,3,6,2]=>{{1},{2,7},{3,5},{4},{6}}=>{{1,6},{2},{3,5},{4},{7}}
[7,1,5,4,3,6,2]=>[7,1,5,4,3,6,2]=>{{1,7},{2},{3,5},{4},{6}}=>{{1,7},{2},{3,5},{4},{6}}
[7,1,5,4,6,2,3]=>[5,7,1,6,2,4,3]=>{{1,5},{2,7},{3},{4,6}}=>{{1,6},{2,4},{3,7},{5}}
[7,1,5,4,6,3,2]=>[7,5,1,4,3,6,2]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,7},{2},{3,6},{4},{5}}
[7,1,5,6,2,3,4]=>[1,5,7,2,3,6,4]=>{{1},{2,5},{3,7},{4},{6}}=>{{1,5},{2},{3,6},{4},{7}}
[7,1,5,6,2,4,3]=>[7,5,6,1,2,4,3]=>{{1,7},{2,5},{3,6},{4}}=>{{1,7},{2,5},{3,6},{4}}
[7,1,5,6,3,2,4]=>[5,7,6,1,3,4,2]=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}
[7,1,5,6,3,4,2]=>[7,5,6,1,3,4,2]=>{{1,7},{2,5},{3,6},{4}}=>{{1,7},{2,5},{3,6},{4}}
[7,1,5,6,4,2,3]=>[5,7,6,1,2,4,3]=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}
[7,1,5,6,4,3,2]=>[7,5,4,1,3,6,2]=>{{1,7},{2,5},{3,4},{6}}=>{{1,7},{2},{3,6},{4,5}}
[7,1,6,2,3,4,5]=>[1,2,3,7,4,6,5]=>{{1},{2},{3},{4,7},{5},{6}}=>{{1,4},{2},{3},{5},{6},{7}}
[7,1,6,2,3,5,4]=>[7,1,2,6,3,5,4]=>{{1,7},{2},{3},{4,6},{5}}=>{{1,7},{2,4},{3},{5},{6}}
[7,1,6,2,4,3,5]=>[1,7,2,6,4,5,3]=>{{1},{2,7},{3},{4,6},{5}}=>{{1,6},{2,4},{3},{5},{7}}
[7,1,6,2,4,5,3]=>[7,1,2,6,4,5,3]=>{{1,7},{2},{3},{4,6},{5}}=>{{1,7},{2,4},{3},{5},{6}}
[7,1,6,2,5,3,4]=>[1,7,2,6,3,5,4]=>{{1},{2,7},{3},{4,6},{5}}=>{{1,6},{2,4},{3},{5},{7}}
[7,1,6,2,5,4,3]=>[7,6,1,5,2,4,3]=>{{1,7},{2,6},{3},{4,5}}=>{{1,7},{2,6},{3,4},{5}}
[7,1,6,3,2,4,5]=>[1,3,7,6,4,5,2]=>{{1},{2,3,7},{4,6},{5}}=>{{1,5,6},{2,4},{3},{7}}
[7,1,6,3,2,5,4]=>[3,1,7,6,2,5,4]=>{{1,3,7},{2},{4,6},{5}}=>{{1,5,7},{2,4},{3},{6}}
[7,1,6,3,4,2,5]=>[1,7,3,6,4,5,2]=>{{1},{2,7},{3},{4,6},{5}}=>{{1,6},{2,4},{3},{5},{7}}
[7,1,6,3,4,5,2]=>[7,1,3,6,4,5,2]=>{{1,7},{2},{3},{4,6},{5}}=>{{1,7},{2,4},{3},{5},{6}}
[7,1,6,3,5,2,4]=>[3,7,1,6,2,5,4]=>{{1,3},{2,7},{4,6},{5}}=>{{1,6},{2,4},{3},{5,7}}
[7,1,6,3,5,4,2]=>[7,6,1,5,3,4,2]=>{{1,7},{2,6},{3},{4,5}}=>{{1,7},{2,6},{3,4},{5}}
[7,1,6,4,2,3,5]=>[1,2,7,6,4,5,3]=>{{1},{2},{3,7},{4,6},{5}}=>{{1,5},{2,4},{3},{6},{7}}
[7,1,6,4,2,5,3]=>[4,1,7,6,2,5,3]=>{{1,4,6},{2},{3,7},{5}}=>{{1,5},{2,4,7},{3},{6}}
[7,1,6,4,3,2,5]=>[1,7,6,4,3,5,2]=>{{1},{2,7},{3,6},{4},{5}}=>{{1,6},{2,5},{3},{4},{7}}
[7,1,6,4,3,5,2]=>[7,1,6,4,3,5,2]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,7},{2,5},{3},{4},{6}}
[7,1,6,4,5,2,3]=>[4,7,1,6,2,5,3]=>{{1,4,6},{2,7},{3},{5}}=>{{1,6},{2,4,7},{3},{5}}
[7,1,6,4,5,3,2]=>[7,6,1,4,3,5,2]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[7,1,6,5,2,3,4]=>[1,2,7,6,3,5,4]=>{{1},{2},{3,7},{4,6},{5}}=>{{1,5},{2,4},{3},{6},{7}}
[7,1,6,5,2,4,3]=>[7,1,6,5,2,4,3]=>{{1,7},{2},{3,6},{4,5}}=>{{1,7},{2,5},{3,4},{6}}
[7,1,6,5,3,2,4]=>[1,7,6,5,3,4,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1,6},{2,5},{3,4},{7}}
[7,1,6,5,3,4,2]=>[7,1,6,5,3,4,2]=>{{1,7},{2},{3,6},{4,5}}=>{{1,7},{2,5},{3,4},{6}}
[7,1,6,5,4,2,3]=>[1,7,6,5,2,4,3]=>{{1},{2,7},{3,6},{4,5}}=>{{1,6},{2,5},{3,4},{7}}
[7,1,6,5,4,3,2]=>[7,6,5,4,1,3,2]=>{{1,7},{2,6},{3,5},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,2,1,3,4,5,6]=>[2,3,4,5,7,6,1]=>{{1,2,3,4,5,7},{6}}=>{{1,3,4,5,6,7},{2}}
[7,2,1,3,4,6,5]=>[2,1,3,4,7,6,5]=>{{1,2},{3},{4},{5,7},{6}}=>{{1,3},{2},{4},{5},{6,7}}
[7,2,1,3,5,4,6]=>[2,3,1,5,7,6,4]=>{{1,2,3},{4,5,7},{6}}=>{{1,3,4},{2},{5,6,7}}
[7,2,1,3,5,6,4]=>[2,1,3,5,7,6,4]=>{{1,2},{3},{4,5,7},{6}}=>{{1,3,4},{2},{5},{6,7}}
[7,2,1,3,6,4,5]=>[2,3,1,4,7,6,5]=>{{1,2,3},{4},{5,7},{6}}=>{{1,3},{2},{4},{5,6,7}}
[7,2,1,3,6,5,4]=>[7,2,1,3,6,5,4]=>{{1,7},{2},{3},{4},{5,6}}=>{{1,7},{2,3},{4},{5},{6}}
[7,2,1,4,3,5,6]=>[2,4,5,1,7,6,3]=>{{1,2,4},{3,5,7},{6}}=>{{1,3,5},{2},{4,6,7}}
[7,2,1,4,3,6,5]=>[2,1,4,3,7,6,5]=>{{1,2},{3,4},{5,7},{6}}=>{{1,3},{2},{4,5},{6,7}}
[7,2,1,4,5,3,6]=>[2,4,1,5,7,6,3]=>{{1,2,4,5,7},{3},{6}}=>{{1,3,4,6,7},{2},{5}}
[7,2,1,4,5,6,3]=>[2,1,4,5,7,6,3]=>{{1,2},{3,4,5,7},{6}}=>{{1,3,4,5},{2},{6,7}}
[7,2,1,4,6,3,5]=>[2,4,1,3,7,6,5]=>{{1,2,4},{3},{5,7},{6}}=>{{1,3},{2},{4,6,7},{5}}
[7,2,1,4,6,5,3]=>[7,2,1,4,6,5,3]=>{{1,7},{2},{3},{4},{5,6}}=>{{1,7},{2,3},{4},{5},{6}}
[7,2,1,5,3,4,6]=>[2,3,5,1,7,6,4]=>{{1,2,3,5,7},{4},{6}}=>{{1,3,5,6,7},{2},{4}}
[7,2,1,5,3,6,4]=>[2,1,5,3,7,6,4]=>{{1,2},{3,5,7},{4},{6}}=>{{1,3,5},{2},{4},{6,7}}
[7,2,1,5,4,3,6]=>[2,7,5,1,6,4,3]=>{{1,2,7},{3,5,6},{4}}=>{{1,6,7},{2,3,5},{4}}
[7,2,1,5,4,6,3]=>[7,2,5,1,6,4,3]=>{{1,7},{2},{3,5,6},{4}}=>{{1,7},{2,3,5},{4},{6}}
[7,2,1,5,6,3,4]=>[2,5,1,3,7,6,4]=>{{1,2,5,7},{3},{4},{6}}=>{{1,3,6,7},{2},{4},{5}}
[7,2,1,5,6,4,3]=>[7,2,1,5,6,4,3]=>{{1,7},{2},{3},{4,5,6}}=>{{1,7},{2,3,4},{5},{6}}
[7,2,1,6,3,4,5]=>[2,3,4,1,7,6,5]=>{{1,2,3,4},{5,7},{6}}=>{{1,3},{2},{4,5,6,7}}
[7,2,1,6,3,5,4]=>[7,2,3,1,6,5,4]=>{{1,7},{2},{3},{4},{5,6}}=>{{1,7},{2,3},{4},{5},{6}}
[7,2,1,6,4,3,5]=>[2,7,4,1,6,5,3]=>{{1,2,7},{3,4},{5,6}}=>{{1,6,7},{2,3},{4,5}}
[7,2,1,6,4,5,3]=>[7,2,4,1,6,5,3]=>{{1,7},{2},{3,4},{5,6}}=>{{1,7},{2,3},{4,5},{6}}
[7,2,1,6,5,3,4]=>[2,7,3,1,6,5,4]=>{{1,2,7},{3},{4},{5,6}}=>{{1,6,7},{2,3},{4},{5}}
[7,2,1,6,5,4,3]=>[7,6,2,1,5,4,3]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[7,2,3,1,4,5,6]=>[2,3,4,7,5,6,1]=>{{1,2,3,4,7},{5},{6}}=>{{1,4,5,6,7},{2},{3}}
[7,2,3,1,4,6,5]=>[2,1,3,7,4,6,5]=>{{1,2},{3},{4,7},{5},{6}}=>{{1,4},{2},{3},{5},{6,7}}
[7,2,3,1,5,4,6]=>[2,3,1,7,5,6,4]=>{{1,2,3},{4,7},{5},{6}}=>{{1,4},{2},{3},{5,6,7}}
[7,2,3,1,5,6,4]=>[2,1,3,7,5,6,4]=>{{1,2},{3},{4,7},{5},{6}}=>{{1,4},{2},{3},{5},{6,7}}
[7,2,3,1,6,4,5]=>[2,3,1,7,4,6,5]=>{{1,2,3},{4,7},{5},{6}}=>{{1,4},{2},{3},{5,6,7}}
[7,2,3,1,6,5,4]=>[7,2,1,6,3,5,4]=>{{1,7},{2},{3},{4,6},{5}}=>{{1,7},{2,4},{3},{5},{6}}
[7,2,3,4,1,5,6]=>[2,3,7,4,5,6,1]=>{{1,2,3,7},{4},{5},{6}}=>{{1,5,6,7},{2},{3},{4}}
[7,2,3,4,1,6,5]=>[2,1,7,3,4,6,5]=>{{1,2},{3,7},{4},{5},{6}}=>{{1,5},{2},{3},{4},{6,7}}
[7,2,3,4,5,1,6]=>[2,7,3,4,5,6,1]=>{{1,2,7},{3},{4},{5},{6}}=>{{1,6,7},{2},{3},{4},{5}}
[7,2,3,4,5,6,1]=>[7,2,3,4,5,6,1]=>{{1,7},{2},{3},{4},{5},{6}}=>{{1,7},{2},{3},{4},{5},{6}}
[7,2,3,4,6,1,5]=>[2,7,1,3,4,6,5]=>{{1,2,7},{3},{4},{5},{6}}=>{{1,6,7},{2},{3},{4},{5}}
[7,2,3,4,6,5,1]=>[7,6,2,3,4,5,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[7,2,3,5,1,4,6]=>[2,3,7,1,5,6,4]=>{{1,2,3,7},{4},{5},{6}}=>{{1,5,6,7},{2},{3},{4}}
[7,2,3,5,1,6,4]=>[2,1,7,3,5,6,4]=>{{1,2},{3,7},{4},{5},{6}}=>{{1,5},{2},{3},{4},{6,7}}
[7,2,3,5,4,1,6]=>[2,7,5,3,4,6,1]=>{{1,2,7},{3,5},{4},{6}}=>{{1,6,7},{2},{3,5},{4}}
[7,2,3,5,4,6,1]=>[7,2,5,3,4,6,1]=>{{1,7},{2},{3,5},{4},{6}}=>{{1,7},{2},{3,5},{4},{6}}
[7,2,3,5,6,1,4]=>[2,7,1,3,5,6,4]=>{{1,2,7},{3},{4},{5},{6}}=>{{1,6,7},{2},{3},{4},{5}}
[7,2,3,5,6,4,1]=>[7,5,2,3,4,6,1]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,7},{2},{3,6},{4},{5}}
[7,2,3,6,1,4,5]=>[2,3,7,1,4,6,5]=>{{1,2,3,7},{4},{5},{6}}=>{{1,5,6,7},{2},{3},{4}}
[7,2,3,6,1,5,4]=>[7,2,6,1,3,5,4]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,7},{2,5},{3},{4},{6}}
[7,2,3,6,4,1,5]=>[2,7,6,3,4,5,1]=>{{1,2,7},{3,6},{4},{5}}=>{{1,6,7},{2,5},{3},{4}}
[7,2,3,6,4,5,1]=>[7,2,6,3,4,5,1]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,7},{2,5},{3},{4},{6}}
[7,2,3,6,5,1,4]=>[2,7,6,1,3,5,4]=>{{1,2,7},{3,6},{4},{5}}=>{{1,6,7},{2,5},{3},{4}}
[7,2,3,6,5,4,1]=>[7,6,5,2,3,4,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,2,4,1,3,5,6]=>[2,4,5,7,1,6,3]=>{{1,2,4,7},{3,5},{6}}=>{{1,4,6,7},{2},{3,5}}
[7,2,4,1,3,6,5]=>[2,1,4,7,3,6,5]=>{{1,2},{3,4,7},{5},{6}}=>{{1,4,5},{2},{3},{6,7}}
[7,2,4,1,5,3,6]=>[2,4,1,7,5,6,3]=>{{1,2,4,7},{3},{5},{6}}=>{{1,4,6,7},{2},{3},{5}}
[7,2,4,1,5,6,3]=>[2,1,4,7,5,6,3]=>{{1,2},{3,4,7},{5},{6}}=>{{1,4,5},{2},{3},{6,7}}
[7,2,4,1,6,3,5]=>[2,4,1,7,3,6,5]=>{{1,2,4,7},{3},{5},{6}}=>{{1,4,6,7},{2},{3},{5}}
[7,2,4,1,6,5,3]=>[7,2,1,6,4,5,3]=>{{1,7},{2},{3},{4,6},{5}}=>{{1,7},{2,4},{3},{5},{6}}
[7,2,4,3,1,5,6]=>[2,4,7,5,3,6,1]=>{{1,2,4,5},{3,7},{6}}=>{{1,5},{2},{3,4,6,7}}
[7,2,4,3,1,6,5]=>[4,2,7,6,3,5,1]=>{{1,4,6},{2},{3,7},{5}}=>{{1,5},{2,4,7},{3},{6}}
[7,2,4,3,5,1,6]=>[2,7,4,5,3,6,1]=>{{1,2,7},{3,4,5},{6}}=>{{1,6,7},{2},{3,4,5}}
[7,2,4,3,5,6,1]=>[7,2,4,5,3,6,1]=>{{1,7},{2},{3,4,5},{6}}=>{{1,7},{2},{3,4,5},{6}}
[7,2,4,3,6,1,5]=>[4,7,2,6,3,5,1]=>{{1,4,6},{2,7},{3},{5}}=>{{1,6},{2,4,7},{3},{5}}
[7,2,4,3,6,5,1]=>[7,4,2,6,3,5,1]=>{{1,7},{2,4,6},{3},{5}}=>{{1,7},{2,4,6},{3},{5}}
[7,2,4,5,1,3,6]=>[2,4,7,1,5,6,3]=>{{1,2,4},{3,7},{5},{6}}=>{{1,5},{2},{3},{4,6,7}}
[7,2,4,5,1,6,3]=>[2,1,7,4,5,6,3]=>{{1,2},{3,7},{4},{5},{6}}=>{{1,5},{2},{3},{4},{6,7}}
[7,2,4,5,3,1,6]=>[2,7,4,3,5,6,1]=>{{1,2,7},{3,4},{5},{6}}=>{{1,6,7},{2},{3},{4,5}}
[7,2,4,5,3,6,1]=>[7,2,4,3,5,6,1]=>{{1,7},{2},{3,4},{5},{6}}=>{{1,7},{2},{3},{4,5},{6}}
[7,2,4,5,6,1,3]=>[2,7,1,4,5,6,3]=>{{1,2,7},{3},{4},{5},{6}}=>{{1,6,7},{2},{3},{4},{5}}
[7,2,4,5,6,3,1]=>[7,4,2,3,5,6,1]=>{{1,7},{2,4},{3},{5},{6}}=>{{1,7},{2},{3},{4,6},{5}}
[7,2,4,6,1,3,5]=>[2,4,7,1,3,6,5]=>{{1,2,4},{3,7},{5},{6}}=>{{1,5},{2},{3},{4,6,7}}
[7,2,4,6,1,5,3]=>[7,2,6,1,4,5,3]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,7},{2,5},{3},{4},{6}}
[7,2,4,6,3,1,5]=>[4,7,6,2,3,5,1]=>{{1,4},{2,7},{3,6},{5}}=>{{1,6},{2,5},{3},{4,7}}
[7,2,4,6,3,5,1]=>[7,4,6,2,3,5,1]=>{{1,7},{2,4},{3,6},{5}}=>{{1,7},{2,5},{3},{4,6}}
[7,2,4,6,5,1,3]=>[2,7,6,1,4,5,3]=>{{1,2,7},{3,6},{4},{5}}=>{{1,6,7},{2,5},{3},{4}}
[7,2,4,6,5,3,1]=>[7,6,4,2,3,5,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,7},{2,6},{3},{4,5}}
[7,2,5,1,3,4,6]=>[2,3,5,7,1,6,4]=>{{1,2,3,5},{4,7},{6}}=>{{1,4},{2},{3,5,6,7}}
[7,2,5,1,3,6,4]=>[2,1,5,7,3,6,4]=>{{1,2},{3,5},{4,7},{6}}=>{{1,4},{2},{3,5},{6,7}}
[7,2,5,1,4,3,6]=>[2,7,5,6,1,4,3]=>{{1,2,7},{3,5},{4,6}}=>{{1,6,7},{2,4},{3,5}}
[7,2,5,1,4,6,3]=>[7,2,5,6,1,4,3]=>{{1,7},{2},{3,5},{4,6}}=>{{1,7},{2,4},{3,5},{6}}
[7,2,5,1,6,3,4]=>[2,5,1,7,3,6,4]=>{{1,2,5},{3},{4,7},{6}}=>{{1,4},{2},{3,6,7},{5}}
[7,2,5,1,6,4,3]=>[7,2,1,5,4,6,3]=>{{1,7},{2},{3},{4,5},{6}}=>{{1,7},{2},{3,4},{5},{6}}
[7,2,5,3,1,4,6]=>[2,3,7,5,4,6,1]=>{{1,2,3,7},{4,5},{6}}=>{{1,5,6,7},{2},{3,4}}
[7,2,5,3,1,6,4]=>[5,2,7,6,3,4,1]=>{{1,5},{2},{3,7},{4,6}}=>{{1,5},{2,4},{3,7},{6}}
[7,2,5,3,4,1,6]=>[2,7,3,5,4,6,1]=>{{1,2,7},{3},{4,5},{6}}=>{{1,6,7},{2},{3,4},{5}}
[7,2,5,3,4,6,1]=>[7,2,3,5,4,6,1]=>{{1,7},{2},{3},{4,5},{6}}=>{{1,7},{2},{3,4},{5},{6}}
[7,2,5,3,6,1,4]=>[5,7,2,6,3,4,1]=>{{1,5},{2,7},{3},{4,6}}=>{{1,6},{2,4},{3,7},{5}}
[7,2,5,3,6,4,1]=>[7,5,2,6,3,4,1]=>{{1,7},{2,5},{3},{4,6}}=>{{1,7},{2,4},{3,6},{5}}
[7,2,5,4,1,3,6]=>[2,5,7,6,1,4,3]=>{{1,2,5},{3,7},{4,6}}=>{{1,5},{2,4},{3,6,7}}
[7,2,5,4,1,6,3]=>[2,1,7,5,4,6,3]=>{{1,2},{3,7},{4,5},{6}}=>{{1,5},{2},{3,4},{6,7}}
[7,2,5,4,3,1,6]=>[2,7,5,4,3,6,1]=>{{1,2,7},{3,5},{4},{6}}=>{{1,6,7},{2},{3,5},{4}}
[7,2,5,4,3,6,1]=>[7,2,5,4,3,6,1]=>{{1,7},{2},{3,5},{4},{6}}=>{{1,7},{2},{3,5},{4},{6}}
[7,2,5,4,6,1,3]=>[2,7,1,5,4,6,3]=>{{1,2,7},{3},{4,5},{6}}=>{{1,6,7},{2},{3,4},{5}}
[7,2,5,4,6,3,1]=>[7,5,2,4,3,6,1]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,7},{2},{3,6},{4},{5}}
[7,2,5,6,1,3,4]=>[2,5,7,1,3,6,4]=>{{1,2,5},{3,7},{4},{6}}=>{{1,5},{2},{3,6,7},{4}}
[7,2,5,6,1,4,3]=>[7,2,5,1,4,6,3]=>{{1,7},{2},{3,5},{4},{6}}=>{{1,7},{2},{3,5},{4},{6}}
[7,2,5,6,3,1,4]=>[5,7,6,2,3,4,1]=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}
[7,2,5,6,3,4,1]=>[7,5,6,2,3,4,1]=>{{1,7},{2,5},{3,6},{4}}=>{{1,7},{2,5},{3,6},{4}}
[7,2,5,6,4,1,3]=>[2,7,5,1,4,6,3]=>{{1,2,7},{3,5},{4},{6}}=>{{1,6,7},{2},{3,5},{4}}
[7,2,5,6,4,3,1]=>[7,5,4,2,3,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,7},{2},{3,6},{4,5}}
[7,2,6,1,3,4,5]=>[2,3,4,7,1,6,5]=>{{1,2,3,4,7},{5},{6}}=>{{1,4,5,6,7},{2},{3}}
[7,2,6,1,3,5,4]=>[7,2,3,6,1,5,4]=>{{1,7},{2},{3},{4,6},{5}}=>{{1,7},{2,4},{3},{5},{6}}
[7,2,6,1,4,3,5]=>[2,7,4,6,1,5,3]=>{{1,2,7},{3,4,6},{5}}=>{{1,6,7},{2,4,5},{3}}
[7,2,6,1,4,5,3]=>[7,2,4,6,1,5,3]=>{{1,7},{2},{3,4,6},{5}}=>{{1,7},{2,4,5},{3},{6}}
[7,2,6,1,5,3,4]=>[2,7,3,6,1,5,4]=>{{1,2,7},{3},{4,6},{5}}=>{{1,6,7},{2,4},{3},{5}}
[7,2,6,1,5,4,3]=>[7,6,2,5,1,4,3]=>{{1,7},{2,6},{3},{4,5}}=>{{1,7},{2,6},{3,4},{5}}
[7,2,6,3,1,4,5]=>[2,3,7,6,4,5,1]=>{{1,2,3,7},{4,6},{5}}=>{{1,5,6,7},{2,4},{3}}
[7,2,6,3,1,5,4]=>[2,1,7,6,3,5,4]=>{{1,2},{3,7},{4,6},{5}}=>{{1,5},{2,4},{3},{6,7}}
[7,2,6,3,4,1,5]=>[2,7,3,6,4,5,1]=>{{1,2,7},{3},{4,6},{5}}=>{{1,6,7},{2,4},{3},{5}}
[7,2,6,3,4,5,1]=>[7,2,3,6,4,5,1]=>{{1,7},{2},{3},{4,6},{5}}=>{{1,7},{2,4},{3},{5},{6}}
[7,2,6,3,5,1,4]=>[2,7,1,6,3,5,4]=>{{1,2,7},{3},{4,6},{5}}=>{{1,6,7},{2,4},{3},{5}}
[7,2,6,3,5,4,1]=>[7,6,2,5,3,4,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,7},{2,6},{3,4},{5}}
[7,2,6,4,1,3,5]=>[2,4,7,6,1,5,3]=>{{1,2,4,6},{3,7},{5}}=>{{1,5},{2,4,6,7},{3}}
[7,2,6,4,1,5,3]=>[2,1,7,6,4,5,3]=>{{1,2},{3,7},{4,6},{5}}=>{{1,5},{2,4},{3},{6,7}}
[7,2,6,4,3,1,5]=>[2,7,6,4,3,5,1]=>{{1,2,7},{3,6},{4},{5}}=>{{1,6,7},{2,5},{3},{4}}
[7,2,6,4,3,5,1]=>[7,2,6,4,3,5,1]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,7},{2,5},{3},{4},{6}}
[7,2,6,4,5,1,3]=>[2,7,1,6,4,5,3]=>{{1,2,7},{3},{4,6},{5}}=>{{1,6,7},{2,4},{3},{5}}
[7,2,6,4,5,3,1]=>[7,6,2,4,3,5,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[7,2,6,5,1,3,4]=>[2,3,7,6,1,5,4]=>{{1,2,3,7},{4,6},{5}}=>{{1,5,6,7},{2,4},{3}}
[7,2,6,5,1,4,3]=>[7,2,6,5,1,4,3]=>{{1,7},{2},{3,6},{4,5}}=>{{1,7},{2,5},{3,4},{6}}
[7,2,6,5,3,1,4]=>[2,7,6,5,3,4,1]=>{{1,2,7},{3,6},{4,5}}=>{{1,6,7},{2,5},{3,4}}
[7,2,6,5,3,4,1]=>[7,2,6,5,3,4,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,7},{2,5},{3,4},{6}}
[7,2,6,5,4,1,3]=>[2,7,6,5,1,4,3]=>{{1,2,7},{3,6},{4,5}}=>{{1,6,7},{2,5},{3,4}}
[7,2,6,5,4,3,1]=>[7,6,5,4,2,3,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,3,1,2,4,5,6]=>[1,3,4,5,7,6,2]=>{{1},{2,3,4,5,7},{6}}=>{{1,3,4,5,6},{2},{7}}
[7,3,1,2,4,6,5]=>[3,1,2,4,7,6,5]=>{{1,3},{2},{4},{5,7},{6}}=>{{1,3},{2},{4},{5,7},{6}}
[7,3,1,2,5,4,6]=>[1,3,2,5,7,6,4]=>{{1},{2,3},{4,5,7},{6}}=>{{1,3,4},{2},{5,6},{7}}
[7,3,1,2,5,6,4]=>[3,1,2,5,7,6,4]=>{{1,3},{2},{4,5,7},{6}}=>{{1,3,4},{2},{5,7},{6}}
[7,3,1,2,6,4,5]=>[1,3,2,4,7,6,5]=>{{1},{2,3},{4},{5,7},{6}}=>{{1,3},{2},{4},{5,6},{7}}
[7,3,1,2,6,5,4]=>[7,3,1,2,6,5,4]=>{{1,7},{2,3},{4},{5,6}}=>{{1,7},{2,3},{4},{5,6}}
[7,3,1,4,2,5,6]=>[3,4,5,1,7,6,2]=>{{1,3,5,7},{2,4},{6}}=>{{1,3,5,7},{2},{4,6}}
[7,3,1,4,2,6,5]=>[3,1,4,2,7,6,5]=>{{1,3,4},{2},{5,7},{6}}=>{{1,3},{2},{4,5,7},{6}}
[7,3,1,4,5,2,6]=>[3,4,1,5,7,6,2]=>{{1,3},{2,4,5,7},{6}}=>{{1,3,4,6},{2},{5,7}}
[7,3,1,4,5,6,2]=>[3,1,4,5,7,6,2]=>{{1,3,4,5,7},{2},{6}}=>{{1,3,4,5,7},{2},{6}}
[7,3,1,4,6,2,5]=>[3,4,1,2,7,6,5]=>{{1,3},{2,4},{5,7},{6}}=>{{1,3},{2},{4,6},{5,7}}
[7,3,1,4,6,5,2]=>[7,3,1,4,6,5,2]=>{{1,7},{2,3},{4},{5,6}}=>{{1,7},{2,3},{4},{5,6}}
[7,3,1,5,2,4,6]=>[1,3,5,2,7,6,4]=>{{1},{2,3,5,7},{4},{6}}=>{{1,3,5,6},{2},{4},{7}}
[7,3,1,5,2,6,4]=>[3,1,5,2,7,6,4]=>{{1,3,5,7},{2},{4},{6}}=>{{1,3,5,7},{2},{4},{6}}
[7,3,1,5,4,2,6]=>[3,7,5,1,6,4,2]=>{{1,3,5,6},{2,7},{4}}=>{{1,6},{2,3,5,7},{4}}
[7,3,1,5,4,6,2]=>[7,3,5,1,6,4,2]=>{{1,7},{2,3,5,6},{4}}=>{{1,7},{2,3,5,6},{4}}
[7,3,1,5,6,2,4]=>[3,5,1,2,7,6,4]=>{{1,3},{2,5,7},{4},{6}}=>{{1,3,6},{2},{4},{5,7}}
[7,3,1,5,6,4,2]=>[7,3,1,5,6,4,2]=>{{1,7},{2,3},{4,5,6}}=>{{1,7},{2,3,4},{5,6}}
[7,3,1,6,2,4,5]=>[1,3,4,2,7,6,5]=>{{1},{2,3,4},{5,7},{6}}=>{{1,3},{2},{4,5,6},{7}}
[7,3,1,6,2,5,4]=>[7,1,3,2,6,5,4]=>{{1,7},{2},{3},{4},{5,6}}=>{{1,7},{2,3},{4},{5},{6}}
[7,3,1,6,4,2,5]=>[3,7,4,1,6,5,2]=>{{1,3,4},{2,7},{5,6}}=>{{1,6},{2,3},{4,5,7}}
[7,3,1,6,4,5,2]=>[7,3,4,1,6,5,2]=>{{1,7},{2,3,4},{5,6}}=>{{1,7},{2,3},{4,5,6}}
[7,3,1,6,5,2,4]=>[1,7,3,2,6,5,4]=>{{1},{2,7},{3},{4},{5,6}}=>{{1,6},{2,3},{4},{5},{7}}
[7,3,1,6,5,4,2]=>[7,6,3,1,5,4,2]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[7,3,2,1,4,5,6]=>[3,4,5,7,6,2,1]=>{{1,3,5,6},{2,4,7}}=>{{1,4,6},{2,3,5,7}}
[7,3,2,1,4,6,5]=>[3,2,4,7,6,5,1]=>{{1,3,4,7},{2},{5,6}}=>{{1,4,5,7},{2,3},{6}}
[7,3,2,1,5,4,6]=>[3,5,2,7,6,4,1]=>{{1,3},{2,5,6},{4,7}}=>{{1,4},{2,3,6},{5,7}}
[7,3,2,1,5,6,4]=>[3,2,5,7,6,4,1]=>{{1,3,5,6},{2},{4,7}}=>{{1,4},{2,3,5,7},{6}}
[7,3,2,1,6,4,5]=>[3,4,2,7,6,5,1]=>{{1,3},{2,4,7},{5,6}}=>{{1,4,6},{2,3},{5,7}}
[7,3,2,1,6,5,4]=>[3,2,1,7,6,5,4]=>{{1,3},{2},{4,7},{5,6}}=>{{1,4},{2,3},{5,7},{6}}
[7,3,2,4,1,5,6]=>[3,4,7,5,6,2,1]=>{{1,3,7},{2,4,5,6}}=>{{1,5,7},{2,3,4,6}}
[7,3,2,4,1,6,5]=>[3,2,7,4,6,5,1]=>{{1,3,7},{2},{4},{5,6}}=>{{1,5,7},{2,3},{4},{6}}
[7,3,2,4,5,1,6]=>[3,7,4,5,6,2,1]=>{{1,3,4,5,6},{2,7}}=>{{1,6},{2,3,4,5,7}}
[7,3,2,4,5,6,1]=>[7,3,4,5,6,2,1]=>{{1,7},{2,3,4,5,6}}=>{{1,7},{2,3,4,5,6}}
[7,3,2,4,6,1,5]=>[3,7,2,4,6,5,1]=>{{1,3},{2,7},{4},{5,6}}=>{{1,6},{2,3},{4},{5,7}}
[7,3,2,4,6,5,1]=>[7,3,2,4,6,5,1]=>{{1,7},{2,3},{4},{5,6}}=>{{1,7},{2,3},{4},{5,6}}
[7,3,2,5,1,4,6]=>[3,5,7,2,6,4,1]=>{{1,3,7},{2,5,6},{4}}=>{{1,5,7},{2,3,6},{4}}
[7,3,2,5,1,6,4]=>[3,2,7,5,6,4,1]=>{{1,3,7},{2},{4,5,6}}=>{{1,5,7},{2,3,4},{6}}
[7,3,2,5,4,1,6]=>[3,7,5,2,6,4,1]=>{{1,3,5,6},{2,7},{4}}=>{{1,6},{2,3,5,7},{4}}
[7,3,2,5,4,6,1]=>[7,3,5,2,6,4,1]=>{{1,7},{2,3,5,6},{4}}=>{{1,7},{2,3,5,6},{4}}
[7,3,2,5,6,1,4]=>[3,7,2,5,6,4,1]=>{{1,3},{2,7},{4,5,6}}=>{{1,6},{2,3,4},{5,7}}
[7,3,2,5,6,4,1]=>[7,3,2,5,6,4,1]=>{{1,7},{2,3},{4,5,6}}=>{{1,7},{2,3,4},{5,6}}
[7,3,2,6,1,4,5]=>[3,4,7,2,6,5,1]=>{{1,3,7},{2,4},{5,6}}=>{{1,5,7},{2,3},{4,6}}
[7,3,2,6,1,5,4]=>[3,2,7,1,6,5,4]=>{{1,3,7},{2},{4},{5,6}}=>{{1,5,7},{2,3},{4},{6}}
[7,3,2,6,4,1,5]=>[3,7,4,2,6,5,1]=>{{1,3,4},{2,7},{5,6}}=>{{1,6},{2,3},{4,5,7}}
[7,3,2,6,4,5,1]=>[7,3,4,2,6,5,1]=>{{1,7},{2,3,4},{5,6}}=>{{1,7},{2,3},{4,5,6}}
[7,3,2,6,5,1,4]=>[3,7,2,1,6,5,4]=>{{1,3},{2,7},{4},{5,6}}=>{{1,6},{2,3},{4},{5,7}}
[7,3,2,6,5,4,1]=>[7,6,3,2,5,4,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[7,3,4,1,2,5,6]=>[3,4,5,7,1,6,2]=>{{1,3,5},{2,4,7},{6}}=>{{1,4,6},{2},{3,5,7}}
[7,3,4,1,2,6,5]=>[3,1,4,7,2,6,5]=>{{1,3,4,7},{2},{5},{6}}=>{{1,4,5,7},{2},{3},{6}}
[7,3,4,1,5,2,6]=>[3,4,1,7,5,6,2]=>{{1,3},{2,4,7},{5},{6}}=>{{1,4,6},{2},{3},{5,7}}
[7,3,4,1,5,6,2]=>[3,1,4,7,5,6,2]=>{{1,3,4,7},{2},{5},{6}}=>{{1,4,5,7},{2},{3},{6}}
[7,3,4,1,6,2,5]=>[3,4,1,7,2,6,5]=>{{1,3},{2,4,7},{5},{6}}=>{{1,4,6},{2},{3},{5,7}}
[7,3,4,1,6,5,2]=>[7,3,1,6,4,5,2]=>{{1,7},{2,3},{4,6},{5}}=>{{1,7},{2,4},{3},{5,6}}
[7,3,4,2,1,5,6]=>[3,4,7,5,2,6,1]=>{{1,3,7},{2,4,5},{6}}=>{{1,5,7},{2},{3,4,6}}
[7,3,4,2,1,6,5]=>[3,2,7,6,4,5,1]=>{{1,3,7},{2},{4,6},{5}}=>{{1,5,7},{2,4},{3},{6}}
[7,3,4,2,5,1,6]=>[3,7,4,5,2,6,1]=>{{1,3,4,5},{2,7},{6}}=>{{1,6},{2},{3,4,5,7}}
[7,3,4,2,5,6,1]=>[7,3,4,5,2,6,1]=>{{1,7},{2,3,4,5},{6}}=>{{1,7},{2},{3,4,5,6}}
[7,3,4,2,6,1,5]=>[3,7,2,6,4,5,1]=>{{1,3},{2,7},{4,6},{5}}=>{{1,6},{2,4},{3},{5,7}}
[7,3,4,2,6,5,1]=>[7,3,2,6,4,5,1]=>{{1,7},{2,3},{4,6},{5}}=>{{1,7},{2,4},{3},{5,6}}
[7,3,4,5,1,2,6]=>[3,4,7,1,5,6,2]=>{{1,3,7},{2,4},{5},{6}}=>{{1,5,7},{2},{3},{4,6}}
[7,3,4,5,1,6,2]=>[3,1,7,4,5,6,2]=>{{1,3,7},{2},{4},{5},{6}}=>{{1,5,7},{2},{3},{4},{6}}
[7,3,4,5,2,1,6]=>[3,7,4,2,5,6,1]=>{{1,3,4},{2,7},{5},{6}}=>{{1,6},{2},{3},{4,5,7}}
[7,3,4,5,2,6,1]=>[7,3,4,2,5,6,1]=>{{1,7},{2,3,4},{5},{6}}=>{{1,7},{2},{3},{4,5,6}}
[7,3,4,5,6,1,2]=>[3,7,1,4,5,6,2]=>{{1,3},{2,7},{4},{5},{6}}=>{{1,6},{2},{3},{4},{5,7}}
[7,3,4,5,6,2,1]=>[7,3,2,4,5,6,1]=>{{1,7},{2,3},{4},{5},{6}}=>{{1,7},{2},{3},{4},{5,6}}
[7,3,4,6,1,2,5]=>[3,4,7,1,2,6,5]=>{{1,3,7},{2,4},{5},{6}}=>{{1,5,7},{2},{3},{4,6}}
[7,3,4,6,1,5,2]=>[7,3,6,1,4,5,2]=>{{1,7},{2,3,6},{4},{5}}=>{{1,7},{2,5,6},{3},{4}}
[7,3,4,6,2,1,5]=>[3,7,6,2,4,5,1]=>{{1,3,6},{2,7},{4},{5}}=>{{1,6},{2,5,7},{3},{4}}
[7,3,4,6,2,5,1]=>[7,3,6,2,4,5,1]=>{{1,7},{2,3,6},{4},{5}}=>{{1,7},{2,5,6},{3},{4}}
[7,3,4,6,5,1,2]=>[3,7,6,1,4,5,2]=>{{1,3,6},{2,7},{4},{5}}=>{{1,6},{2,5,7},{3},{4}}
[7,3,4,6,5,2,1]=>[7,6,3,2,4,5,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[7,3,5,1,2,4,6]=>[1,3,5,7,2,6,4]=>{{1},{2,3,5},{4,7},{6}}=>{{1,4},{2},{3,5,6},{7}}
[7,3,5,1,2,6,4]=>[3,1,5,7,2,6,4]=>{{1,3,5},{2},{4,7},{6}}=>{{1,4},{2},{3,5,7},{6}}
[7,3,5,1,4,2,6]=>[3,7,5,6,1,4,2]=>{{1,3,5},{2,7},{4,6}}=>{{1,6},{2,4},{3,5,7}}
[7,3,5,1,4,6,2]=>[7,3,5,6,1,4,2]=>{{1,7},{2,3,5},{4,6}}=>{{1,7},{2,4},{3,5,6}}
[7,3,5,1,6,2,4]=>[3,5,1,7,2,6,4]=>{{1,3},{2,5},{4,7},{6}}=>{{1,4},{2},{3,6},{5,7}}
[7,3,5,1,6,4,2]=>[7,3,1,5,4,6,2]=>{{1,7},{2,3},{4,5},{6}}=>{{1,7},{2},{3,4},{5,6}}
[7,3,5,2,1,4,6]=>[3,5,7,6,2,4,1]=>{{1,3,7},{2,5},{4,6}}=>{{1,5,7},{2,4},{3,6}}
[7,3,5,2,1,6,4]=>[3,2,7,5,4,6,1]=>{{1,3,7},{2},{4,5},{6}}=>{{1,5,7},{2},{3,4},{6}}
[7,3,5,2,4,1,6]=>[3,7,5,6,2,4,1]=>{{1,3,5},{2,7},{4,6}}=>{{1,6},{2,4},{3,5,7}}
[7,3,5,2,4,6,1]=>[7,3,5,6,2,4,1]=>{{1,7},{2,3,5},{4,6}}=>{{1,7},{2,4},{3,5,6}}
[7,3,5,2,6,1,4]=>[3,7,2,5,4,6,1]=>{{1,3},{2,7},{4,5},{6}}=>{{1,6},{2},{3,4},{5,7}}
[7,3,5,2,6,4,1]=>[7,3,2,5,4,6,1]=>{{1,7},{2,3},{4,5},{6}}=>{{1,7},{2},{3,4},{5,6}}
[7,3,5,4,1,2,6]=>[3,5,7,6,1,4,2]=>{{1,3,7},{2,5},{4,6}}=>{{1,5,7},{2,4},{3,6}}
[7,3,5,4,1,6,2]=>[3,1,7,5,4,6,2]=>{{1,3,7},{2},{4,5},{6}}=>{{1,5,7},{2},{3,4},{6}}
[7,3,5,4,2,1,6]=>[3,7,5,4,2,6,1]=>{{1,3,5},{2,7},{4},{6}}=>{{1,6},{2},{3,5,7},{4}}
[7,3,5,4,2,6,1]=>[7,3,5,4,2,6,1]=>{{1,7},{2,3,5},{4},{6}}=>{{1,7},{2},{3,5,6},{4}}
[7,3,5,4,6,1,2]=>[3,7,1,5,4,6,2]=>{{1,3},{2,7},{4,5},{6}}=>{{1,6},{2},{3,4},{5,7}}
[7,3,5,4,6,2,1]=>[7,5,3,4,2,6,1]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,7},{2},{3,6},{4},{5}}
[7,3,5,6,1,2,4]=>[3,5,7,1,2,6,4]=>{{1,3,7},{2,5},{4},{6}}=>{{1,5,7},{2},{3,6},{4}}
[7,3,5,6,1,4,2]=>[7,3,5,1,4,6,2]=>{{1,7},{2,3,5},{4},{6}}=>{{1,7},{2},{3,5,6},{4}}
[7,3,5,6,2,1,4]=>[3,7,5,2,4,6,1]=>{{1,3,5},{2,7},{4},{6}}=>{{1,6},{2},{3,5,7},{4}}
[7,3,5,6,2,4,1]=>[7,3,5,2,4,6,1]=>{{1,7},{2,3,5},{4},{6}}=>{{1,7},{2},{3,5,6},{4}}
[7,3,5,6,4,1,2]=>[3,7,5,1,4,6,2]=>{{1,3,5},{2,7},{4},{6}}=>{{1,6},{2},{3,5,7},{4}}
[7,3,5,6,4,2,1]=>[7,5,3,2,4,6,1]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,7},{2},{3,6},{4},{5}}
[7,3,6,1,2,4,5]=>[1,3,4,7,2,6,5]=>{{1},{2,3,4,7},{5},{6}}=>{{1,4,5,6},{2},{3},{7}}
[7,3,6,1,2,5,4]=>[7,1,3,6,2,5,4]=>{{1,7},{2},{3},{4,6},{5}}=>{{1,7},{2,4},{3},{5},{6}}
[7,3,6,1,4,2,5]=>[3,7,4,6,1,5,2]=>{{1,3,4,6},{2,7},{5}}=>{{1,6},{2,4,5,7},{3}}
[7,3,6,1,4,5,2]=>[7,3,4,6,1,5,2]=>{{1,7},{2,3,4,6},{5}}=>{{1,7},{2,4,5,6},{3}}
[7,3,6,1,5,2,4]=>[1,7,3,6,2,5,4]=>{{1},{2,7},{3},{4,6},{5}}=>{{1,6},{2,4},{3},{5},{7}}
[7,3,6,1,5,4,2]=>[7,6,3,5,1,4,2]=>{{1,7},{2,6},{3},{4,5}}=>{{1,7},{2,6},{3,4},{5}}
[7,3,6,2,1,4,5]=>[3,4,7,6,2,5,1]=>{{1,3,7},{2,4,6},{5}}=>{{1,5,7},{2,4,6},{3}}
[7,3,6,2,1,5,4]=>[3,2,7,6,1,5,4]=>{{1,3,7},{2},{4,6},{5}}=>{{1,5,7},{2,4},{3},{6}}
[7,3,6,2,4,1,5]=>[3,7,4,6,2,5,1]=>{{1,3,4,6},{2,7},{5}}=>{{1,6},{2,4,5,7},{3}}
[7,3,6,2,4,5,1]=>[7,3,4,6,2,5,1]=>{{1,7},{2,3,4,6},{5}}=>{{1,7},{2,4,5,6},{3}}
[7,3,6,2,5,1,4]=>[3,7,2,6,1,5,4]=>{{1,3},{2,7},{4,6},{5}}=>{{1,6},{2,4},{3},{5,7}}
[7,3,6,2,5,4,1]=>[7,6,3,5,2,4,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,7},{2,6},{3,4},{5}}
[7,3,6,4,1,2,5]=>[3,4,7,6,1,5,2]=>{{1,3,7},{2,4,6},{5}}=>{{1,5,7},{2,4,6},{3}}
[7,3,6,4,1,5,2]=>[3,1,7,6,4,5,2]=>{{1,3,7},{2},{4,6},{5}}=>{{1,5,7},{2,4},{3},{6}}
[7,3,6,4,2,1,5]=>[3,7,6,4,2,5,1]=>{{1,3,6},{2,7},{4},{5}}=>{{1,6},{2,5,7},{3},{4}}
[7,3,6,4,2,5,1]=>[7,3,6,4,2,5,1]=>{{1,7},{2,3,6},{4},{5}}=>{{1,7},{2,5,6},{3},{4}}
[7,3,6,4,5,1,2]=>[3,7,1,6,4,5,2]=>{{1,3},{2,7},{4,6},{5}}=>{{1,6},{2,4},{3},{5,7}}
[7,3,6,4,5,2,1]=>[7,6,3,4,2,5,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[7,3,6,5,1,2,4]=>[1,3,7,6,2,5,4]=>{{1},{2,3,7},{4,6},{5}}=>{{1,5,6},{2,4},{3},{7}}
[7,3,6,5,1,4,2]=>[7,3,6,5,1,4,2]=>{{1,7},{2,3,6},{4,5}}=>{{1,7},{2,5,6},{3,4}}
[7,3,6,5,2,1,4]=>[3,7,6,5,2,4,1]=>{{1,3,6},{2,7},{4,5}}=>{{1,6},{2,5,7},{3,4}}
[7,3,6,5,2,4,1]=>[7,3,6,5,2,4,1]=>{{1,7},{2,3,6},{4,5}}=>{{1,7},{2,5,6},{3,4}}
[7,3,6,5,4,1,2]=>[3,7,6,5,1,4,2]=>{{1,3,6},{2,7},{4,5}}=>{{1,6},{2,5,7},{3,4}}
[7,3,6,5,4,2,1]=>[7,6,5,3,2,4,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,4,1,2,3,5,6]=>[1,2,4,5,7,6,3]=>{{1},{2},{3,4,5,7},{6}}=>{{1,3,4,5},{2},{6},{7}}
[7,4,1,2,3,6,5]=>[4,1,2,3,7,6,5]=>{{1,4},{2},{3},{5,7},{6}}=>{{1,3},{2},{4,7},{5},{6}}
[7,4,1,2,5,3,6]=>[1,4,2,5,7,6,3]=>{{1},{2,4,5,7},{3},{6}}=>{{1,3,4,6},{2},{5},{7}}
[7,4,1,2,5,6,3]=>[4,1,2,5,7,6,3]=>{{1,4,5,7},{2},{3},{6}}=>{{1,3,4,7},{2},{5},{6}}
[7,4,1,2,6,3,5]=>[1,4,2,3,7,6,5]=>{{1},{2,4},{3},{5,7},{6}}=>{{1,3},{2},{4,6},{5},{7}}
[7,4,1,2,6,5,3]=>[7,4,1,2,6,5,3]=>{{1,7},{2,4},{3},{5,6}}=>{{1,7},{2,3},{4,6},{5}}
[7,4,1,3,2,5,6]=>[1,4,7,5,6,3,2]=>{{1},{2,4,5,6},{3,7}}=>{{1,5},{2,3,4,6},{7}}
[7,4,1,3,2,6,5]=>[4,1,7,3,6,5,2]=>{{1,4},{2},{3,7},{5,6}}=>{{1,5},{2,3},{4,7},{6}}
[7,4,1,3,5,2,6]=>[1,7,4,5,6,3,2]=>{{1},{2,7},{3,4,5,6}}=>{{1,6},{2,3,4,5},{7}}
[7,4,1,3,5,6,2]=>[7,1,4,5,6,3,2]=>{{1,7},{2},{3,4,5,6}}=>{{1,7},{2,3,4,5},{6}}
[7,4,1,3,6,2,5]=>[4,7,1,3,6,5,2]=>{{1,4},{2,7},{3},{5,6}}=>{{1,6},{2,3},{4,7},{5}}
[7,4,1,3,6,5,2]=>[7,4,1,3,6,5,2]=>{{1,7},{2,4},{3},{5,6}}=>{{1,7},{2,3},{4,6},{5}}
[7,4,1,5,2,3,6]=>[1,4,5,2,7,6,3]=>{{1},{2,4},{3,5,7},{6}}=>{{1,3,5},{2},{4,6},{7}}
[7,4,1,5,2,6,3]=>[4,1,5,2,7,6,3]=>{{1,4},{2},{3,5,7},{6}}=>{{1,3,5},{2},{4,7},{6}}
[7,4,1,5,3,2,6]=>[4,7,5,1,6,3,2]=>{{1,4},{2,7},{3,5,6}}=>{{1,6},{2,3,5},{4,7}}
[7,4,1,5,3,6,2]=>[7,4,5,1,6,3,2]=>{{1,7},{2,4},{3,5,6}}=>{{1,7},{2,3,5},{4,6}}
[7,4,1,5,6,2,3]=>[4,5,1,2,7,6,3]=>{{1,4},{2,5,7},{3},{6}}=>{{1,3,6},{2},{4,7},{5}}
[7,4,1,5,6,3,2]=>[7,4,1,5,6,3,2]=>{{1,7},{2,4,5,6},{3}}=>{{1,7},{2,3,4,6},{5}}
[7,4,1,6,2,3,5]=>[1,2,4,3,7,6,5]=>{{1},{2},{3,4},{5,7},{6}}=>{{1,3},{2},{4,5},{6},{7}}
[7,4,1,6,2,5,3]=>[7,1,4,2,6,5,3]=>{{1,7},{2},{3,4},{5,6}}=>{{1,7},{2,3},{4,5},{6}}
[7,4,1,6,3,2,5]=>[1,7,4,3,6,5,2]=>{{1},{2,7},{3,4},{5,6}}=>{{1,6},{2,3},{4,5},{7}}
[7,4,1,6,3,5,2]=>[7,1,4,3,6,5,2]=>{{1,7},{2},{3,4},{5,6}}=>{{1,7},{2,3},{4,5},{6}}
[7,4,1,6,5,2,3]=>[1,7,4,2,6,5,3]=>{{1},{2,7},{3,4},{5,6}}=>{{1,6},{2,3},{4,5},{7}}
[7,4,1,6,5,3,2]=>[7,6,4,1,5,3,2]=>{{1,7},{2,6},{3,4},{5}}=>{{1,7},{2,6},{3},{4,5}}
[7,4,2,1,3,5,6]=>[2,4,5,7,6,3,1]=>{{1,2,4,7},{3,5,6}}=>{{1,4,6,7},{2,3,5}}
[7,4,2,1,3,6,5]=>[4,2,3,7,6,5,1]=>{{1,4,7},{2},{3},{5,6}}=>{{1,4,7},{2,3},{5},{6}}
[7,4,2,1,5,3,6]=>[4,5,2,7,6,3,1]=>{{1,4,7},{2,5,6},{3}}=>{{1,4,7},{2,3,6},{5}}
[7,4,2,1,5,6,3]=>[4,2,5,7,6,3,1]=>{{1,4,7},{2},{3,5,6}}=>{{1,4,7},{2,3,5},{6}}
[7,4,2,1,6,3,5]=>[2,4,3,7,6,5,1]=>{{1,2,4,7},{3},{5,6}}=>{{1,4,6,7},{2,3},{5}}
[7,4,2,1,6,5,3]=>[4,2,1,7,6,5,3]=>{{1,4,7},{2},{3},{5,6}}=>{{1,4,7},{2,3},{5},{6}}
[7,4,2,3,1,5,6]=>[2,4,7,5,6,3,1]=>{{1,2,4,5,6},{3,7}}=>{{1,5},{2,3,4,6,7}}
[7,4,2,3,1,6,5]=>[4,2,7,3,6,5,1]=>{{1,4},{2},{3,7},{5,6}}=>{{1,5},{2,3},{4,7},{6}}
[7,4,2,3,5,1,6]=>[2,7,4,5,6,3,1]=>{{1,2,7},{3,4,5,6}}=>{{1,6,7},{2,3,4,5}}
[7,4,2,3,5,6,1]=>[7,2,4,5,6,3,1]=>{{1,7},{2},{3,4,5,6}}=>{{1,7},{2,3,4,5},{6}}
[7,4,2,3,6,1,5]=>[4,7,2,3,6,5,1]=>{{1,4},{2,7},{3},{5,6}}=>{{1,6},{2,3},{4,7},{5}}
[7,4,2,3,6,5,1]=>[7,4,2,3,6,5,1]=>{{1,7},{2,4},{3},{5,6}}=>{{1,7},{2,3},{4,6},{5}}
[7,4,2,5,1,3,6]=>[4,5,7,2,6,3,1]=>{{1,4},{2,5,6},{3,7}}=>{{1,5},{2,3,6},{4,7}}
[7,4,2,5,1,6,3]=>[4,2,7,5,6,3,1]=>{{1,4,5,6},{2},{3,7}}=>{{1,5},{2,3,4,7},{6}}
[7,4,2,5,3,1,6]=>[4,7,5,2,6,3,1]=>{{1,4},{2,7},{3,5,6}}=>{{1,6},{2,3,5},{4,7}}
[7,4,2,5,3,6,1]=>[7,4,5,2,6,3,1]=>{{1,7},{2,4},{3,5,6}}=>{{1,7},{2,3,5},{4,6}}
[7,4,2,5,6,1,3]=>[4,7,2,5,6,3,1]=>{{1,4,5,6},{2,7},{3}}=>{{1,6},{2,3,4,7},{5}}
[7,4,2,5,6,3,1]=>[7,4,2,5,6,3,1]=>{{1,7},{2,4,5,6},{3}}=>{{1,7},{2,3,4,6},{5}}
[7,4,2,6,1,3,5]=>[2,4,7,3,6,5,1]=>{{1,2,4},{3,7},{5,6}}=>{{1,5},{2,3},{4,6,7}}
[7,4,2,6,1,5,3]=>[4,2,7,1,6,5,3]=>{{1,4},{2},{3,7},{5,6}}=>{{1,5},{2,3},{4,7},{6}}
[7,4,2,6,3,1,5]=>[2,7,4,3,6,5,1]=>{{1,2,7},{3,4},{5,6}}=>{{1,6,7},{2,3},{4,5}}
[7,4,2,6,3,5,1]=>[7,2,4,3,6,5,1]=>{{1,7},{2},{3,4},{5,6}}=>{{1,7},{2,3},{4,5},{6}}
[7,4,2,6,5,1,3]=>[4,7,2,1,6,5,3]=>{{1,4},{2,7},{3},{5,6}}=>{{1,6},{2,3},{4,7},{5}}
[7,4,2,6,5,3,1]=>[7,6,4,2,5,3,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,7},{2,6},{3},{4,5}}
[7,4,3,1,2,5,6]=>[1,4,5,7,6,3,2]=>{{1},{2,4,7},{3,5,6}}=>{{1,4,6},{2,3,5},{7}}
[7,4,3,1,2,6,5]=>[4,1,3,7,6,5,2]=>{{1,4,7},{2},{3},{5,6}}=>{{1,4,7},{2,3},{5},{6}}
[7,4,3,1,5,2,6]=>[4,5,1,7,6,3,2]=>{{1,4,7},{2,5,6},{3}}=>{{1,4,7},{2,3,6},{5}}
[7,4,3,1,5,6,2]=>[4,1,5,7,6,3,2]=>{{1,4,7},{2},{3,5,6}}=>{{1,4,7},{2,3,5},{6}}
[7,4,3,1,6,2,5]=>[1,4,3,7,6,5,2]=>{{1},{2,4,7},{3},{5,6}}=>{{1,4,6},{2,3},{5},{7}}
[7,4,3,1,6,5,2]=>[4,3,1,7,6,5,2]=>{{1,4,7},{2,3},{5,6}}=>{{1,4,7},{2,3},{5,6}}
[7,4,3,2,1,5,6]=>[4,5,7,6,3,2,1]=>{{1,4,6},{2,5},{3,7}}=>{{1,5},{2,4,7},{3,6}}
[7,4,3,2,1,6,5]=>[4,3,7,6,5,2,1]=>{{1,4,6},{2,3,7},{5}}=>{{1,5,6},{2,4,7},{3}}
[7,4,3,2,5,1,6]=>[4,7,5,6,3,2,1]=>{{1,4,6},{2,7},{3,5}}=>{{1,6},{2,4,7},{3,5}}
[7,4,3,2,5,6,1]=>[7,4,5,6,3,2,1]=>{{1,7},{2,4,6},{3,5}}=>{{1,7},{2,4,6},{3,5}}
[7,4,3,2,6,1,5]=>[4,7,3,6,5,2,1]=>{{1,4,6},{2,7},{3},{5}}=>{{1,6},{2,4,7},{3},{5}}
[7,4,3,2,6,5,1]=>[7,4,3,6,5,2,1]=>{{1,7},{2,4,6},{3},{5}}=>{{1,7},{2,4,6},{3},{5}}
[7,4,3,5,1,2,6]=>[4,5,7,1,6,3,2]=>{{1,4},{2,5,6},{3,7}}=>{{1,5},{2,3,6},{4,7}}
[7,4,3,5,1,6,2]=>[4,1,7,5,6,3,2]=>{{1,4,5,6},{2},{3,7}}=>{{1,5},{2,3,4,7},{6}}
[7,4,3,5,2,1,6]=>[4,7,5,3,6,2,1]=>{{1,4},{2,7},{3,5,6}}=>{{1,6},{2,3,5},{4,7}}
[7,4,3,5,2,6,1]=>[7,4,5,3,6,2,1]=>{{1,7},{2,4},{3,5,6}}=>{{1,7},{2,3,5},{4,6}}
[7,4,3,5,6,1,2]=>[4,7,1,5,6,3,2]=>{{1,4,5,6},{2,7},{3}}=>{{1,6},{2,3,4,7},{5}}
[7,4,3,5,6,2,1]=>[7,4,3,5,6,2,1]=>{{1,7},{2,4,5,6},{3}}=>{{1,7},{2,3,4,6},{5}}
[7,4,3,6,1,2,5]=>[1,4,7,3,6,5,2]=>{{1},{2,4},{3,7},{5,6}}=>{{1,5},{2,3},{4,6},{7}}
[7,4,3,6,1,5,2]=>[4,3,7,1,6,5,2]=>{{1,4},{2,3,7},{5,6}}=>{{1,5,6},{2,3},{4,7}}
[7,4,3,6,2,1,5]=>[4,7,6,3,5,2,1]=>{{1,4},{2,7},{3,6},{5}}=>{{1,6},{2,5},{3},{4,7}}
[7,4,3,6,2,5,1]=>[7,4,6,3,5,2,1]=>{{1,7},{2,4},{3,6},{5}}=>{{1,7},{2,5},{3},{4,6}}
[7,4,3,6,5,1,2]=>[4,7,3,1,6,5,2]=>{{1,4},{2,7},{3},{5,6}}=>{{1,6},{2,3},{4,7},{5}}
[7,4,3,6,5,2,1]=>[7,4,3,2,6,5,1]=>{{1,7},{2,4},{3},{5,6}}=>{{1,7},{2,3},{4,6},{5}}
[7,4,5,1,2,3,6]=>[1,4,5,7,2,6,3]=>{{1},{2,4,7},{3,5},{6}}=>{{1,4,6},{2},{3,5},{7}}
[7,4,5,1,2,6,3]=>[4,1,5,7,2,6,3]=>{{1,4,7},{2},{3,5},{6}}=>{{1,4,7},{2},{3,5},{6}}
[7,4,5,1,3,2,6]=>[4,7,5,6,1,3,2]=>{{1,4,6},{2,7},{3,5}}=>{{1,6},{2,4,7},{3,5}}
[7,4,5,1,3,6,2]=>[7,4,5,6,1,3,2]=>{{1,7},{2,4,6},{3,5}}=>{{1,7},{2,4,6},{3,5}}
[7,4,5,1,6,2,3]=>[4,5,1,7,2,6,3]=>{{1,4,7},{2,5},{3},{6}}=>{{1,4,7},{2},{3,6},{5}}
[7,4,5,1,6,3,2]=>[7,4,1,5,3,6,2]=>{{1,7},{2,4,5},{3},{6}}=>{{1,7},{2},{3,4,6},{5}}
[7,4,5,2,1,3,6]=>[4,5,7,6,2,3,1]=>{{1,4,6},{2,5},{3,7}}=>{{1,5},{2,4,7},{3,6}}
[7,4,5,2,1,6,3]=>[4,2,7,5,3,6,1]=>{{1,4,5},{2},{3,7},{6}}=>{{1,5},{2},{3,4,7},{6}}
[7,4,5,2,3,1,6]=>[4,7,5,6,2,3,1]=>{{1,4,6},{2,7},{3,5}}=>{{1,6},{2,4,7},{3,5}}
[7,4,5,2,3,6,1]=>[7,4,5,6,2,3,1]=>{{1,7},{2,4,6},{3,5}}=>{{1,7},{2,4,6},{3,5}}
[7,4,5,2,6,1,3]=>[4,7,2,5,3,6,1]=>{{1,4,5},{2,7},{3},{6}}=>{{1,6},{2},{3,4,7},{5}}
[7,4,5,2,6,3,1]=>[7,4,2,5,3,6,1]=>{{1,7},{2,4,5},{3},{6}}=>{{1,7},{2},{3,4,6},{5}}
[7,4,5,3,1,2,6]=>[4,5,7,6,1,3,2]=>{{1,4,6},{2,5},{3,7}}=>{{1,5},{2,4,7},{3,6}}
[7,4,5,3,1,6,2]=>[4,1,7,5,3,6,2]=>{{1,4,5},{2},{3,7},{6}}=>{{1,5},{2},{3,4,7},{6}}
[7,4,5,3,2,1,6]=>[4,7,5,3,2,6,1]=>{{1,4},{2,7},{3,5},{6}}=>{{1,6},{2},{3,5},{4,7}}
[7,4,5,3,2,6,1]=>[7,4,5,3,2,6,1]=>{{1,7},{2,4},{3,5},{6}}=>{{1,7},{2},{3,5},{4,6}}
[7,4,5,3,6,1,2]=>[4,7,1,5,3,6,2]=>{{1,4,5},{2,7},{3},{6}}=>{{1,6},{2},{3,4,7},{5}}
[7,4,5,3,6,2,1]=>[7,4,3,5,2,6,1]=>{{1,7},{2,4,5},{3},{6}}=>{{1,7},{2},{3,4,6},{5}}
[7,4,5,6,1,2,3]=>[4,5,7,1,2,6,3]=>{{1,4},{2,5},{3,7},{6}}=>{{1,5},{2},{3,6},{4,7}}
[7,4,5,6,1,3,2]=>[7,4,5,1,3,6,2]=>{{1,7},{2,4},{3,5},{6}}=>{{1,7},{2},{3,5},{4,6}}
[7,4,5,6,2,1,3]=>[4,7,5,2,3,6,1]=>{{1,4},{2,7},{3,5},{6}}=>{{1,6},{2},{3,5},{4,7}}
[7,4,5,6,2,3,1]=>[7,4,5,2,3,6,1]=>{{1,7},{2,4},{3,5},{6}}=>{{1,7},{2},{3,5},{4,6}}
[7,4,5,6,3,1,2]=>[4,7,5,1,3,6,2]=>{{1,4},{2,7},{3,5},{6}}=>{{1,6},{2},{3,5},{4,7}}
[7,4,5,6,3,2,1]=>[7,4,3,2,5,6,1]=>{{1,7},{2,4},{3},{5},{6}}=>{{1,7},{2},{3},{4,6},{5}}
[7,4,6,1,2,3,5]=>[1,2,4,7,3,6,5]=>{{1},{2},{3,4,7},{5},{6}}=>{{1,4,5},{2},{3},{6},{7}}
[7,4,6,1,2,5,3]=>[7,1,4,6,2,5,3]=>{{1,7},{2},{3,4,6},{5}}=>{{1,7},{2,4,5},{3},{6}}
[7,4,6,1,3,2,5]=>[1,7,4,6,3,5,2]=>{{1},{2,7},{3,4,6},{5}}=>{{1,6},{2,4,5},{3},{7}}
[7,4,6,1,3,5,2]=>[7,1,4,6,3,5,2]=>{{1,7},{2},{3,4,6},{5}}=>{{1,7},{2,4,5},{3},{6}}
[7,4,6,1,5,2,3]=>[1,7,4,6,2,5,3]=>{{1},{2,7},{3,4,6},{5}}=>{{1,6},{2,4,5},{3},{7}}
[7,4,6,1,5,3,2]=>[7,6,4,5,1,3,2]=>{{1,7},{2,6},{3,4,5}}=>{{1,7},{2,6},{3,4,5}}
[7,4,6,2,1,3,5]=>[2,4,7,6,3,5,1]=>{{1,2,4,6},{3,7},{5}}=>{{1,5},{2,4,6,7},{3}}
[7,4,6,2,1,5,3]=>[4,2,7,6,1,5,3]=>{{1,4,6},{2},{3,7},{5}}=>{{1,5},{2,4,7},{3},{6}}
[7,4,6,2,3,1,5]=>[2,7,4,6,3,5,1]=>{{1,2,7},{3,4,6},{5}}=>{{1,6,7},{2,4,5},{3}}
[7,4,6,2,3,5,1]=>[7,2,4,6,3,5,1]=>{{1,7},{2},{3,4,6},{5}}=>{{1,7},{2,4,5},{3},{6}}
[7,4,6,2,5,1,3]=>[4,7,2,6,1,5,3]=>{{1,4,6},{2,7},{3},{5}}=>{{1,6},{2,4,7},{3},{5}}
[7,4,6,2,5,3,1]=>[7,6,4,5,2,3,1]=>{{1,7},{2,6},{3,4,5}}=>{{1,7},{2,6},{3,4,5}}
[7,4,6,3,1,2,5]=>[1,4,7,6,3,5,2]=>{{1},{2,4,6},{3,7},{5}}=>{{1,5},{2,4,6},{3},{7}}
[7,4,6,3,1,5,2]=>[4,3,7,6,1,5,2]=>{{1,4,6},{2,3,7},{5}}=>{{1,5,6},{2,4,7},{3}}
[7,4,6,3,2,1,5]=>[4,7,6,3,2,5,1]=>{{1,4},{2,7},{3,6},{5}}=>{{1,6},{2,5},{3},{4,7}}
[7,4,6,3,2,5,1]=>[7,4,6,3,2,5,1]=>{{1,7},{2,4},{3,6},{5}}=>{{1,7},{2,5},{3},{4,6}}
[7,4,6,3,5,1,2]=>[4,7,3,6,1,5,2]=>{{1,4,6},{2,7},{3},{5}}=>{{1,6},{2,4,7},{3},{5}}
[7,4,6,3,5,2,1]=>[7,4,3,6,2,5,1]=>{{1,7},{2,4,6},{3},{5}}=>{{1,7},{2,4,6},{3},{5}}
[7,4,6,5,1,2,3]=>[1,4,7,6,2,5,3]=>{{1},{2,4,6},{3,7},{5}}=>{{1,5},{2,4,6},{3},{7}}
[7,4,6,5,1,3,2]=>[7,4,6,5,1,3,2]=>{{1,7},{2,4,5},{3,6}}=>{{1,7},{2,5},{3,4,6}}
[7,4,6,5,2,1,3]=>[4,7,6,5,2,3,1]=>{{1,4,5},{2,7},{3,6}}=>{{1,6},{2,5},{3,4,7}}
[7,4,6,5,2,3,1]=>[7,4,6,5,2,3,1]=>{{1,7},{2,4,5},{3,6}}=>{{1,7},{2,5},{3,4,6}}
[7,4,6,5,3,1,2]=>[4,7,6,5,1,3,2]=>{{1,4,5},{2,7},{3,6}}=>{{1,6},{2,5},{3,4,7}}
[7,4,6,5,3,2,1]=>[7,6,4,3,2,5,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,7},{2,6},{3},{4,5}}
[7,5,1,2,3,4,6]=>[1,2,3,5,7,6,4]=>{{1},{2},{3},{4,5,7},{6}}=>{{1,3,4},{2},{5},{6},{7}}
[7,5,1,2,3,6,4]=>[5,1,2,3,7,6,4]=>{{1,5,7},{2},{3},{4},{6}}=>{{1,3,7},{2},{4},{5},{6}}
[7,5,1,2,4,3,6]=>[1,7,2,5,6,4,3]=>{{1},{2,7},{3},{4,5,6}}=>{{1,6},{2,3,4},{5},{7}}
[7,5,1,2,4,6,3]=>[7,1,2,5,6,4,3]=>{{1,7},{2},{3},{4,5,6}}=>{{1,7},{2,3,4},{5},{6}}
[7,5,1,2,6,3,4]=>[1,5,2,3,7,6,4]=>{{1},{2,5,7},{3},{4},{6}}=>{{1,3,6},{2},{4},{5},{7}}
[7,5,1,2,6,4,3]=>[7,5,1,2,6,4,3]=>{{1,7},{2,5,6},{3},{4}}=>{{1,7},{2,3,6},{4},{5}}
[7,5,1,3,2,4,6]=>[1,3,7,5,6,4,2]=>{{1},{2,3,7},{4,5,6}}=>{{1,5,6},{2,3,4},{7}}
[7,5,1,3,2,6,4]=>[5,1,7,3,6,4,2]=>{{1,5,6},{2},{3,7},{4}}=>{{1,5},{2,3,7},{4},{6}}
[7,5,1,3,4,2,6]=>[1,7,3,5,6,4,2]=>{{1},{2,7},{3},{4,5,6}}=>{{1,6},{2,3,4},{5},{7}}
[7,5,1,3,4,6,2]=>[7,1,3,5,6,4,2]=>{{1,7},{2},{3},{4,5,6}}=>{{1,7},{2,3,4},{5},{6}}
[7,5,1,3,6,2,4]=>[5,7,1,3,6,4,2]=>{{1,5,6},{2,7},{3},{4}}=>{{1,6},{2,3,7},{4},{5}}
[7,5,1,3,6,4,2]=>[7,5,1,3,6,4,2]=>{{1,7},{2,5,6},{3},{4}}=>{{1,7},{2,3,6},{4},{5}}
[7,5,1,4,2,3,6]=>[1,2,7,5,6,4,3]=>{{1},{2},{3,7},{4,5,6}}=>{{1,5},{2,3,4},{6},{7}}
[7,5,1,4,2,6,3]=>[5,1,7,2,6,4,3]=>{{1,5,6},{2},{3,7},{4}}=>{{1,5},{2,3,7},{4},{6}}
[7,5,1,4,3,2,6]=>[1,7,5,4,6,3,2]=>{{1},{2,7},{3,5,6},{4}}=>{{1,6},{2,3,5},{4},{7}}
[7,5,1,4,3,6,2]=>[7,1,5,4,6,3,2]=>{{1,7},{2},{3,5,6},{4}}=>{{1,7},{2,3,5},{4},{6}}
[7,5,1,4,6,2,3]=>[5,7,1,2,6,4,3]=>{{1,5,6},{2,7},{3},{4}}=>{{1,6},{2,3,7},{4},{5}}
[7,5,1,4,6,3,2]=>[7,5,1,4,6,3,2]=>{{1,7},{2,5,6},{3},{4}}=>{{1,7},{2,3,6},{4},{5}}
[7,5,1,6,2,3,4]=>[1,2,5,3,7,6,4]=>{{1},{2},{3,5,7},{4},{6}}=>{{1,3,5},{2},{4},{6},{7}}
[7,5,1,6,2,4,3]=>[7,1,5,2,6,4,3]=>{{1,7},{2},{3,5,6},{4}}=>{{1,7},{2,3,5},{4},{6}}
[7,5,1,6,3,2,4]=>[1,7,5,3,6,4,2]=>{{1},{2,7},{3,5,6},{4}}=>{{1,6},{2,3,5},{4},{7}}
[7,5,1,6,3,4,2]=>[7,1,5,3,6,4,2]=>{{1,7},{2},{3,5,6},{4}}=>{{1,7},{2,3,5},{4},{6}}
[7,5,1,6,4,2,3]=>[1,7,5,2,6,4,3]=>{{1},{2,7},{3,5,6},{4}}=>{{1,6},{2,3,5},{4},{7}}
[7,5,1,6,4,3,2]=>[7,5,4,1,6,3,2]=>{{1,7},{2,5,6},{3,4}}=>{{1,7},{2,3,6},{4,5}}
[7,5,2,1,3,4,6]=>[2,3,5,7,6,4,1]=>{{1,2,3,5,6},{4,7}}=>{{1,4},{2,3,5,6,7}}
[7,5,2,1,3,6,4]=>[5,2,3,7,6,4,1]=>{{1,5,6},{2},{3},{4,7}}=>{{1,4},{2,3,7},{5},{6}}
[7,5,2,1,4,3,6]=>[2,5,1,7,6,4,3]=>{{1,2,5,6},{3},{4,7}}=>{{1,4},{2,3,6,7},{5}}
[7,5,2,1,4,6,3]=>[2,1,5,7,6,4,3]=>{{1,2},{3,5,6},{4,7}}=>{{1,4},{2,3,5},{6,7}}
[7,5,2,1,6,3,4]=>[2,5,3,7,6,4,1]=>{{1,2,5,6},{3},{4,7}}=>{{1,4},{2,3,6,7},{5}}
[7,5,2,1,6,4,3]=>[5,2,1,7,6,4,3]=>{{1,5,6},{2},{3},{4,7}}=>{{1,4},{2,3,7},{5},{6}}
[7,5,2,3,1,4,6]=>[2,3,7,5,6,4,1]=>{{1,2,3,7},{4,5,6}}=>{{1,5,6,7},{2,3,4}}
[7,5,2,3,1,6,4]=>[5,2,7,3,6,4,1]=>{{1,5,6},{2},{3,7},{4}}=>{{1,5},{2,3,7},{4},{6}}
[7,5,2,3,4,1,6]=>[2,7,3,5,6,4,1]=>{{1,2,7},{3},{4,5,6}}=>{{1,6,7},{2,3,4},{5}}
[7,5,2,3,4,6,1]=>[7,2,3,5,6,4,1]=>{{1,7},{2},{3},{4,5,6}}=>{{1,7},{2,3,4},{5},{6}}
[7,5,2,3,6,1,4]=>[5,7,2,3,6,4,1]=>{{1,5,6},{2,7},{3},{4}}=>{{1,6},{2,3,7},{4},{5}}
[7,5,2,3,6,4,1]=>[7,5,2,3,6,4,1]=>{{1,7},{2,5,6},{3},{4}}=>{{1,7},{2,3,6},{4},{5}}
[7,5,2,4,1,3,6]=>[2,5,7,1,6,4,3]=>{{1,2,5,6},{3,7},{4}}=>{{1,5},{2,3,6,7},{4}}
[7,5,2,4,1,6,3]=>[2,1,7,5,6,4,3]=>{{1,2},{3,7},{4,5,6}}=>{{1,5},{2,3,4},{6,7}}
[7,5,2,4,3,1,6]=>[2,7,5,4,6,3,1]=>{{1,2,7},{3,5,6},{4}}=>{{1,6,7},{2,3,5},{4}}
[7,5,2,4,3,6,1]=>[7,2,5,4,6,3,1]=>{{1,7},{2},{3,5,6},{4}}=>{{1,7},{2,3,5},{4},{6}}
[7,5,2,4,6,1,3]=>[2,7,1,5,6,4,3]=>{{1,2,7},{3},{4,5,6}}=>{{1,6,7},{2,3,4},{5}}
[7,5,2,4,6,3,1]=>[7,5,2,4,6,3,1]=>{{1,7},{2,5,6},{3},{4}}=>{{1,7},{2,3,6},{4},{5}}
[7,5,2,6,1,3,4]=>[2,5,7,3,6,4,1]=>{{1,2,5,6},{3,7},{4}}=>{{1,5},{2,3,6,7},{4}}
[7,5,2,6,1,4,3]=>[5,2,7,1,6,4,3]=>{{1,5,6},{2},{3,7},{4}}=>{{1,5},{2,3,7},{4},{6}}
[7,5,2,6,3,1,4]=>[2,7,5,3,6,4,1]=>{{1,2,7},{3,5,6},{4}}=>{{1,6,7},{2,3,5},{4}}
[7,5,2,6,3,4,1]=>[7,2,5,3,6,4,1]=>{{1,7},{2},{3,5,6},{4}}=>{{1,7},{2,3,5},{4},{6}}
[7,5,2,6,4,1,3]=>[5,7,2,1,6,4,3]=>{{1,5,6},{2,7},{3},{4}}=>{{1,6},{2,3,7},{4},{5}}
[7,5,2,6,4,3,1]=>[7,5,4,2,6,3,1]=>{{1,7},{2,5,6},{3,4}}=>{{1,7},{2,3,6},{4,5}}
[7,5,3,1,2,4,6]=>[1,3,5,7,6,4,2]=>{{1},{2,3,5,6},{4,7}}=>{{1,4},{2,3,5,6},{7}}
[7,5,3,1,2,6,4]=>[5,1,3,7,6,4,2]=>{{1,5,6},{2},{3},{4,7}}=>{{1,4},{2,3,7},{5},{6}}
[7,5,3,1,4,2,6]=>[3,5,1,7,6,4,2]=>{{1,3},{2,5,6},{4,7}}=>{{1,4},{2,3,6},{5,7}}
[7,5,3,1,4,6,2]=>[3,1,5,7,6,4,2]=>{{1,3,5,6},{2},{4,7}}=>{{1,4},{2,3,5,7},{6}}
[7,5,3,1,6,2,4]=>[1,5,3,7,6,4,2]=>{{1},{2,5,6},{3},{4,7}}=>{{1,4},{2,3,6},{5},{7}}
[7,5,3,1,6,4,2]=>[5,3,1,7,6,4,2]=>{{1,5,6},{2,3},{4,7}}=>{{1,4},{2,3,7},{5,6}}
[7,5,3,2,1,4,6]=>[3,5,7,6,4,2,1]=>{{1,3,7},{2,5},{4,6}}=>{{1,5,7},{2,4},{3,6}}
[7,5,3,2,1,6,4]=>[5,3,7,6,4,2,1]=>{{1,5},{2,3,7},{4,6}}=>{{1,5,6},{2,4},{3,7}}
[7,5,3,2,4,1,6]=>[3,7,5,6,4,2,1]=>{{1,3,5},{2,7},{4,6}}=>{{1,6},{2,4},{3,5,7}}
[7,5,3,2,4,6,1]=>[7,3,5,6,4,2,1]=>{{1,7},{2,3,5},{4,6}}=>{{1,7},{2,4},{3,5,6}}
[7,5,3,2,6,1,4]=>[5,7,3,6,4,2,1]=>{{1,5},{2,7},{3},{4,6}}=>{{1,6},{2,4},{3,7},{5}}
[7,5,3,2,6,4,1]=>[7,5,3,6,4,2,1]=>{{1,7},{2,5},{3},{4,6}}=>{{1,7},{2,4},{3,6},{5}}
[7,5,3,4,1,2,6]=>[3,5,7,1,6,4,2]=>{{1,3,7},{2,5,6},{4}}=>{{1,5,7},{2,3,6},{4}}
[7,5,3,4,1,6,2]=>[3,1,7,5,6,4,2]=>{{1,3,7},{2},{4,5,6}}=>{{1,5,7},{2,3,4},{6}}
[7,5,3,4,2,1,6]=>[3,7,5,4,6,2,1]=>{{1,3,5,6},{2,7},{4}}=>{{1,6},{2,3,5,7},{4}}
[7,5,3,4,2,6,1]=>[7,3,5,4,6,2,1]=>{{1,7},{2,3,5,6},{4}}=>{{1,7},{2,3,5,6},{4}}
[7,5,3,4,6,1,2]=>[3,7,1,5,6,4,2]=>{{1,3},{2,7},{4,5,6}}=>{{1,6},{2,3,4},{5,7}}
[7,5,3,4,6,2,1]=>[7,5,3,4,6,2,1]=>{{1,7},{2,5,6},{3},{4}}=>{{1,7},{2,3,6},{4},{5}}
[7,5,3,6,1,2,4]=>[1,5,7,3,6,4,2]=>{{1},{2,5,6},{3,7},{4}}=>{{1,5},{2,3,6},{4},{7}}
[7,5,3,6,1,4,2]=>[5,3,7,1,6,4,2]=>{{1,5,6},{2,3,7},{4}}=>{{1,5,6},{2,3,7},{4}}
[7,5,3,6,2,1,4]=>[5,7,6,3,4,2,1]=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}
[7,5,3,6,2,4,1]=>[7,5,6,3,4,2,1]=>{{1,7},{2,5},{3,6},{4}}=>{{1,7},{2,5},{3,6},{4}}
[7,5,3,6,4,1,2]=>[5,7,3,1,6,4,2]=>{{1,5,6},{2,7},{3},{4}}=>{{1,6},{2,3,7},{4},{5}}
[7,5,3,6,4,2,1]=>[7,5,3,2,6,4,1]=>{{1,7},{2,5,6},{3},{4}}=>{{1,7},{2,3,6},{4},{5}}
[7,5,4,1,2,3,6]=>[1,2,5,7,6,4,3]=>{{1},{2},{3,5,6},{4,7}}=>{{1,4},{2,3,5},{6},{7}}
[7,5,4,1,2,6,3]=>[5,1,2,7,6,4,3]=>{{1,5,6},{2},{3},{4,7}}=>{{1,4},{2,3,7},{5},{6}}
[7,5,4,1,3,2,6]=>[1,7,5,6,4,3,2]=>{{1},{2,7},{3,5},{4,6}}=>{{1,6},{2,4},{3,5},{7}}
[7,5,4,1,3,6,2]=>[7,1,5,6,4,3,2]=>{{1,7},{2},{3,5},{4,6}}=>{{1,7},{2,4},{3,5},{6}}
[7,5,4,1,6,2,3]=>[1,5,2,7,6,4,3]=>{{1},{2,5,6},{3},{4,7}}=>{{1,4},{2,3,6},{5},{7}}
[7,5,4,1,6,3,2]=>[7,5,1,6,4,3,2]=>{{1,7},{2,5},{3},{4,6}}=>{{1,7},{2,4},{3,6},{5}}
[7,5,4,2,1,3,6]=>[2,5,7,6,4,3,1]=>{{1,2,5},{3,7},{4,6}}=>{{1,5},{2,4},{3,6,7}}
[7,5,4,2,1,6,3]=>[5,2,7,6,4,3,1]=>{{1,5},{2},{3,7},{4,6}}=>{{1,5},{2,4},{3,7},{6}}
[7,5,4,2,3,1,6]=>[2,7,5,6,4,3,1]=>{{1,2,7},{3,5},{4,6}}=>{{1,6,7},{2,4},{3,5}}
[7,5,4,2,3,6,1]=>[7,2,5,6,4,3,1]=>{{1,7},{2},{3,5},{4,6}}=>{{1,7},{2,4},{3,5},{6}}
[7,5,4,2,6,1,3]=>[5,7,2,6,4,3,1]=>{{1,5},{2,7},{3},{4,6}}=>{{1,6},{2,4},{3,7},{5}}
[7,5,4,2,6,3,1]=>[7,5,2,6,4,3,1]=>{{1,7},{2,5},{3},{4,6}}=>{{1,7},{2,4},{3,6},{5}}
[7,5,4,3,1,2,6]=>[1,5,7,6,4,3,2]=>{{1},{2,5},{3,7},{4,6}}=>{{1,5},{2,4},{3,6},{7}}
[7,5,4,3,1,6,2]=>[5,1,7,6,4,3,2]=>{{1,5},{2},{3,7},{4,6}}=>{{1,5},{2,4},{3,7},{6}}
[7,5,4,3,2,1,6]=>[5,7,6,4,3,2,1]=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}
[7,5,4,3,2,6,1]=>[7,5,6,4,3,2,1]=>{{1,7},{2,5},{3,6},{4}}=>{{1,7},{2,5},{3,6},{4}}
[7,5,4,3,6,1,2]=>[5,7,1,6,4,3,2]=>{{1,5},{2,7},{3},{4,6}}=>{{1,6},{2,4},{3,7},{5}}
[7,5,4,3,6,2,1]=>[7,5,4,6,3,2,1]=>{{1,7},{2,5},{3,4,6}}=>{{1,7},{2,4,5},{3,6}}
[7,5,4,6,1,2,3]=>[1,5,7,2,6,4,3]=>{{1},{2,5,6},{3,7},{4}}=>{{1,5},{2,3,6},{4},{7}}
[7,5,4,6,1,3,2]=>[7,5,6,1,4,3,2]=>{{1,7},{2,5},{3,6},{4}}=>{{1,7},{2,5},{3,6},{4}}
[7,5,4,6,2,1,3]=>[5,7,6,2,4,3,1]=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}
[7,5,4,6,2,3,1]=>[7,5,6,2,4,3,1]=>{{1,7},{2,5},{3,6},{4}}=>{{1,7},{2,5},{3,6},{4}}
[7,5,4,6,3,1,2]=>[5,7,6,1,4,3,2]=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}
[7,5,4,6,3,2,1]=>[7,5,4,3,6,2,1]=>{{1,7},{2,5,6},{3,4}}=>{{1,7},{2,3,6},{4,5}}
[7,5,6,1,2,3,4]=>[1,2,5,7,3,6,4]=>{{1},{2},{3,5},{4,7},{6}}=>{{1,4},{2},{3,5},{6},{7}}
[7,5,6,1,2,4,3]=>[7,1,5,6,2,4,3]=>{{1,7},{2},{3,5},{4,6}}=>{{1,7},{2,4},{3,5},{6}}
[7,5,6,1,3,2,4]=>[1,7,5,6,3,4,2]=>{{1},{2,7},{3,5},{4,6}}=>{{1,6},{2,4},{3,5},{7}}
[7,5,6,1,3,4,2]=>[7,1,5,6,3,4,2]=>{{1,7},{2},{3,5},{4,6}}=>{{1,7},{2,4},{3,5},{6}}
[7,5,6,1,4,2,3]=>[1,7,5,6,2,4,3]=>{{1},{2,7},{3,5},{4,6}}=>{{1,6},{2,4},{3,5},{7}}
[7,5,6,1,4,3,2]=>[7,5,4,6,1,3,2]=>{{1,7},{2,5},{3,4,6}}=>{{1,7},{2,4,5},{3,6}}
[7,5,6,2,1,3,4]=>[2,5,7,6,3,4,1]=>{{1,2,5},{3,7},{4,6}}=>{{1,5},{2,4},{3,6,7}}
[7,5,6,2,1,4,3]=>[5,2,7,6,1,4,3]=>{{1,5},{2},{3,7},{4,6}}=>{{1,5},{2,4},{3,7},{6}}
[7,5,6,2,3,1,4]=>[2,7,5,6,3,4,1]=>{{1,2,7},{3,5},{4,6}}=>{{1,6,7},{2,4},{3,5}}
[7,5,6,2,3,4,1]=>[7,2,5,6,3,4,1]=>{{1,7},{2},{3,5},{4,6}}=>{{1,7},{2,4},{3,5},{6}}
[7,5,6,2,4,1,3]=>[5,7,2,6,1,4,3]=>{{1,5},{2,7},{3},{4,6}}=>{{1,6},{2,4},{3,7},{5}}
[7,5,6,2,4,3,1]=>[7,5,4,6,2,3,1]=>{{1,7},{2,5},{3,4,6}}=>{{1,7},{2,4,5},{3,6}}
[7,5,6,3,1,2,4]=>[1,5,7,6,3,4,2]=>{{1},{2,5},{3,7},{4,6}}=>{{1,5},{2,4},{3,6},{7}}
[7,5,6,3,1,4,2]=>[5,3,7,6,1,4,2]=>{{1,5},{2,3,7},{4,6}}=>{{1,5,6},{2,4},{3,7}}
[7,5,6,3,2,1,4]=>[5,7,6,3,2,4,1]=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}
[7,5,6,3,2,4,1]=>[7,5,6,3,2,4,1]=>{{1,7},{2,5},{3,6},{4}}=>{{1,7},{2,5},{3,6},{4}}
[7,5,6,3,4,1,2]=>[5,7,3,6,1,4,2]=>{{1,5},{2,7},{3},{4,6}}=>{{1,6},{2,4},{3,7},{5}}
[7,5,6,3,4,2,1]=>[7,5,3,6,2,4,1]=>{{1,7},{2,5},{3},{4,6}}=>{{1,7},{2,4},{3,6},{5}}
[7,5,6,4,1,2,3]=>[1,5,7,6,2,4,3]=>{{1},{2,5},{3,7},{4,6}}=>{{1,5},{2,4},{3,6},{7}}
[7,5,6,4,1,3,2]=>[7,5,6,4,1,3,2]=>{{1,7},{2,5},{3,6},{4}}=>{{1,7},{2,5},{3,6},{4}}
[7,5,6,4,2,1,3]=>[5,7,6,4,2,3,1]=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}
[7,5,6,4,2,3,1]=>[7,5,6,4,2,3,1]=>{{1,7},{2,5},{3,6},{4}}=>{{1,7},{2,5},{3,6},{4}}
[7,5,6,4,3,1,2]=>[5,7,6,4,1,3,2]=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}
[7,5,6,4,3,2,1]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,7},{2},{3,6},{4,5}}
[7,6,1,2,3,4,5]=>[1,2,3,4,7,6,5]=>{{1},{2},{3},{4},{5,7},{6}}=>{{1,3},{2},{4},{5},{6},{7}}
[7,6,1,2,3,5,4]=>[7,1,2,3,6,5,4]=>{{1,7},{2},{3},{4},{5,6}}=>{{1,7},{2,3},{4},{5},{6}}
[7,6,1,2,4,3,5]=>[1,7,2,4,6,5,3]=>{{1},{2,7},{3},{4},{5,6}}=>{{1,6},{2,3},{4},{5},{7}}
[7,6,1,2,4,5,3]=>[7,1,2,4,6,5,3]=>{{1,7},{2},{3},{4},{5,6}}=>{{1,7},{2,3},{4},{5},{6}}
[7,6,1,2,5,3,4]=>[1,7,2,3,6,5,4]=>{{1},{2,7},{3},{4},{5,6}}=>{{1,6},{2,3},{4},{5},{7}}
[7,6,1,2,5,4,3]=>[7,6,1,2,5,4,3]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[7,6,1,3,2,4,5]=>[1,3,7,4,6,5,2]=>{{1},{2,3,7},{4},{5,6}}=>{{1,5,6},{2,3},{4},{7}}
[7,6,1,3,2,5,4]=>[3,1,7,2,6,5,4]=>{{1,3,7},{2},{4},{5,6}}=>{{1,5,7},{2,3},{4},{6}}
[7,6,1,3,4,2,5]=>[1,7,3,4,6,5,2]=>{{1},{2,7},{3},{4},{5,6}}=>{{1,6},{2,3},{4},{5},{7}}
[7,6,1,3,4,5,2]=>[7,1,3,4,6,5,2]=>{{1,7},{2},{3},{4},{5,6}}=>{{1,7},{2,3},{4},{5},{6}}
[7,6,1,3,5,2,4]=>[3,7,1,2,6,5,4]=>{{1,3},{2,7},{4},{5,6}}=>{{1,6},{2,3},{4},{5,7}}
[7,6,1,3,5,4,2]=>[7,6,1,3,5,4,2]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[7,6,1,4,2,3,5]=>[1,2,7,4,6,5,3]=>{{1},{2},{3,7},{4},{5,6}}=>{{1,5},{2,3},{4},{6},{7}}
[7,6,1,4,2,5,3]=>[4,1,7,2,6,5,3]=>{{1,4},{2},{3,7},{5,6}}=>{{1,5},{2,3},{4,7},{6}}
[7,6,1,4,3,2,5]=>[1,7,6,4,5,3,2]=>{{1},{2,7},{3,6},{4},{5}}=>{{1,6},{2,5},{3},{4},{7}}
[7,6,1,4,3,5,2]=>[7,1,6,4,5,3,2]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,7},{2,5},{3},{4},{6}}
[7,6,1,4,5,2,3]=>[4,7,1,2,6,5,3]=>{{1,4},{2,7},{3},{5,6}}=>{{1,6},{2,3},{4,7},{5}}
[7,6,1,4,5,3,2]=>[7,6,1,4,5,3,2]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[7,6,1,5,2,3,4]=>[1,2,7,3,6,5,4]=>{{1},{2},{3,7},{4},{5,6}}=>{{1,5},{2,3},{4},{6},{7}}
[7,6,1,5,2,4,3]=>[7,1,6,2,5,4,3]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,7},{2,5},{3},{4},{6}}
[7,6,1,5,3,2,4]=>[1,7,6,3,5,4,2]=>{{1},{2,7},{3,6},{4},{5}}=>{{1,6},{2,5},{3},{4},{7}}
[7,6,1,5,3,4,2]=>[7,1,6,3,5,4,2]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,7},{2,5},{3},{4},{6}}
[7,6,1,5,4,2,3]=>[1,7,6,2,5,4,3]=>{{1},{2,7},{3,6},{4},{5}}=>{{1,6},{2,5},{3},{4},{7}}
[7,6,1,5,4,3,2]=>[7,6,5,1,4,3,2]=>{{1,7},{2,6},{3,5},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,6,2,1,3,4,5]=>[2,3,4,7,6,5,1]=>{{1,2,3,4,7},{5,6}}=>{{1,4,5,6,7},{2,3}}
[7,6,2,1,3,5,4]=>[2,1,3,7,6,5,4]=>{{1,2},{3},{4,7},{5,6}}=>{{1,4},{2,3},{5},{6,7}}
[7,6,2,1,4,3,5]=>[2,4,1,7,6,5,3]=>{{1,2,4,7},{3},{5,6}}=>{{1,4,6,7},{2,3},{5}}
[7,6,2,1,4,5,3]=>[2,1,4,7,6,5,3]=>{{1,2},{3,4,7},{5,6}}=>{{1,4,5},{2,3},{6,7}}
[7,6,2,1,5,3,4]=>[2,3,1,7,6,5,4]=>{{1,2,3},{4,7},{5,6}}=>{{1,4},{2,3},{5,6,7}}
[7,6,2,1,5,4,3]=>[7,2,1,6,5,4,3]=>{{1,7},{2},{3},{4,6},{5}}=>{{1,7},{2,4},{3},{5},{6}}
[7,6,2,3,1,4,5]=>[2,3,7,4,6,5,1]=>{{1,2,3,7},{4},{5,6}}=>{{1,5,6,7},{2,3},{4}}
[7,6,2,3,1,5,4]=>[2,1,7,3,6,5,4]=>{{1,2},{3,7},{4},{5,6}}=>{{1,5},{2,3},{4},{6,7}}
[7,6,2,3,4,1,5]=>[2,7,3,4,6,5,1]=>{{1,2,7},{3},{4},{5,6}}=>{{1,6,7},{2,3},{4},{5}}
[7,6,2,3,4,5,1]=>[7,2,3,4,6,5,1]=>{{1,7},{2},{3},{4},{5,6}}=>{{1,7},{2,3},{4},{5},{6}}
[7,6,2,3,5,1,4]=>[2,7,1,3,6,5,4]=>{{1,2,7},{3},{4},{5,6}}=>{{1,6,7},{2,3},{4},{5}}
[7,6,2,3,5,4,1]=>[7,6,2,3,5,4,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[7,6,2,4,1,3,5]=>[2,4,7,1,6,5,3]=>{{1,2,4},{3,7},{5,6}}=>{{1,5},{2,3},{4,6,7}}
[7,6,2,4,1,5,3]=>[2,1,7,4,6,5,3]=>{{1,2},{3,7},{4},{5,6}}=>{{1,5},{2,3},{4},{6,7}}
[7,6,2,4,3,1,5]=>[2,7,6,4,5,3,1]=>{{1,2,7},{3,6},{4},{5}}=>{{1,6,7},{2,5},{3},{4}}
[7,6,2,4,3,5,1]=>[7,2,6,4,5,3,1]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,7},{2,5},{3},{4},{6}}
[7,6,2,4,5,1,3]=>[2,7,1,4,6,5,3]=>{{1,2,7},{3},{4},{5,6}}=>{{1,6,7},{2,3},{4},{5}}
[7,6,2,4,5,3,1]=>[7,6,2,4,5,3,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[7,6,2,5,1,3,4]=>[2,3,7,1,6,5,4]=>{{1,2,3,7},{4},{5,6}}=>{{1,5,6,7},{2,3},{4}}
[7,6,2,5,1,4,3]=>[7,2,6,1,5,4,3]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,7},{2,5},{3},{4},{6}}
[7,6,2,5,3,1,4]=>[2,7,6,3,5,4,1]=>{{1,2,7},{3,6},{4},{5}}=>{{1,6,7},{2,5},{3},{4}}
[7,6,2,5,3,4,1]=>[7,2,6,3,5,4,1]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,7},{2,5},{3},{4},{6}}
[7,6,2,5,4,1,3]=>[2,7,6,1,5,4,3]=>{{1,2,7},{3,6},{4},{5}}=>{{1,6,7},{2,5},{3},{4}}
[7,6,2,5,4,3,1]=>[7,6,5,2,4,3,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,6,3,1,2,4,5]=>[1,3,4,7,6,5,2]=>{{1},{2,3,4,7},{5,6}}=>{{1,4,5,6},{2,3},{7}}
[7,6,3,1,2,5,4]=>[3,1,2,7,6,5,4]=>{{1,3},{2},{4,7},{5,6}}=>{{1,4},{2,3},{5,7},{6}}
[7,6,3,1,4,2,5]=>[3,4,1,7,6,5,2]=>{{1,3},{2,4,7},{5,6}}=>{{1,4,6},{2,3},{5,7}}
[7,6,3,1,4,5,2]=>[3,1,4,7,6,5,2]=>{{1,3,4,7},{2},{5,6}}=>{{1,4,5,7},{2,3},{6}}
[7,6,3,1,5,2,4]=>[1,3,2,7,6,5,4]=>{{1},{2,3},{4,7},{5,6}}=>{{1,4},{2,3},{5,6},{7}}
[7,6,3,1,5,4,2]=>[7,3,1,6,5,4,2]=>{{1,7},{2,3},{4,6},{5}}=>{{1,7},{2,4},{3},{5,6}}
[7,6,3,2,1,4,5]=>[3,4,7,6,5,2,1]=>{{1,3,7},{2,4,6},{5}}=>{{1,5,7},{2,4,6},{3}}
[7,6,3,2,1,5,4]=>[3,2,7,6,5,4,1]=>{{1,3,7},{2},{4,6},{5}}=>{{1,5,7},{2,4},{3},{6}}
[7,6,3,2,4,1,5]=>[3,7,4,6,5,2,1]=>{{1,3,4,6},{2,7},{5}}=>{{1,6},{2,4,5,7},{3}}
[7,6,3,2,4,5,1]=>[7,3,4,6,5,2,1]=>{{1,7},{2,3,4,6},{5}}=>{{1,7},{2,4,5,6},{3}}
[7,6,3,2,5,1,4]=>[3,7,2,6,5,4,1]=>{{1,3},{2,7},{4,6},{5}}=>{{1,6},{2,4},{3},{5,7}}
[7,6,3,2,5,4,1]=>[7,3,2,6,5,4,1]=>{{1,7},{2,3},{4,6},{5}}=>{{1,7},{2,4},{3},{5,6}}
[7,6,3,4,1,2,5]=>[3,4,7,1,6,5,2]=>{{1,3,7},{2,4},{5,6}}=>{{1,5,7},{2,3},{4,6}}
[7,6,3,4,1,5,2]=>[3,1,7,4,6,5,2]=>{{1,3,7},{2},{4},{5,6}}=>{{1,5,7},{2,3},{4},{6}}
[7,6,3,4,2,1,5]=>[3,7,6,4,5,2,1]=>{{1,3,6},{2,7},{4},{5}}=>{{1,6},{2,5,7},{3},{4}}
[7,6,3,4,2,5,1]=>[7,3,6,4,5,2,1]=>{{1,7},{2,3,6},{4},{5}}=>{{1,7},{2,5,6},{3},{4}}
[7,6,3,4,5,1,2]=>[3,7,1,4,6,5,2]=>{{1,3},{2,7},{4},{5,6}}=>{{1,6},{2,3},{4},{5,7}}
[7,6,3,4,5,2,1]=>[7,6,3,4,5,2,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
[7,6,3,5,1,2,4]=>[1,3,7,2,6,5,4]=>{{1},{2,3,7},{4},{5,6}}=>{{1,5,6},{2,3},{4},{7}}
[7,6,3,5,1,4,2]=>[7,3,6,1,5,4,2]=>{{1,7},{2,3,6},{4},{5}}=>{{1,7},{2,5,6},{3},{4}}
[7,6,3,5,2,1,4]=>[3,7,6,2,5,4,1]=>{{1,3,6},{2,7},{4},{5}}=>{{1,6},{2,5,7},{3},{4}}
[7,6,3,5,2,4,1]=>[7,3,6,2,5,4,1]=>{{1,7},{2,3,6},{4},{5}}=>{{1,7},{2,5,6},{3},{4}}
[7,6,3,5,4,1,2]=>[3,7,6,1,5,4,2]=>{{1,3,6},{2,7},{4},{5}}=>{{1,6},{2,5,7},{3},{4}}
[7,6,3,5,4,2,1]=>[7,6,5,3,4,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,7},{2,6},{3,5},{4}}
[7,6,4,1,2,3,5]=>[1,2,4,7,6,5,3]=>{{1},{2},{3,4,7},{5,6}}=>{{1,4,5},{2,3},{6},{7}}
[7,6,4,1,2,5,3]=>[4,1,2,7,6,5,3]=>{{1,4,7},{2},{3},{5,6}}=>{{1,4,7},{2,3},{5},{6}}
[7,6,4,1,3,2,5]=>[1,7,4,6,5,3,2]=>{{1},{2,7},{3,4,6},{5}}=>{{1,6},{2,4,5},{3},{7}}
[7,6,4,1,3,5,2]=>[7,1,4,6,5,3,2]=>{{1,7},{2},{3,4,6},{5}}=>{{1,7},{2,4,5},{3},{6}}
[7,6,4,1,5,2,3]=>[1,4,2,7,6,5,3]=>{{1},{2,4,7},{3},{5,6}}=>{{1,4,6},{2,3},{5},{7}}
[7,6,4,1,5,3,2]=>[7,4,1,6,5,3,2]=>{{1,7},{2,4,6},{3},{5}}=>{{1,7},{2,4,6},{3},{5}}
[7,6,4,2,1,3,5]=>[2,4,7,6,5,3,1]=>{{1,2,4,6},{3,7},{5}}=>{{1,5},{2,4,6,7},{3}}
[7,6,4,2,1,5,3]=>[4,2,7,6,5,3,1]=>{{1,4,6},{2},{3,7},{5}}=>{{1,5},{2,4,7},{3},{6}}
[7,6,4,2,3,1,5]=>[2,7,4,6,5,3,1]=>{{1,2,7},{3,4,6},{5}}=>{{1,6,7},{2,4,5},{3}}
[7,6,4,2,3,5,1]=>[7,2,4,6,5,3,1]=>{{1,7},{2},{3,4,6},{5}}=>{{1,7},{2,4,5},{3},{6}}
[7,6,4,2,5,1,3]=>[4,7,2,6,5,3,1]=>{{1,4,6},{2,7},{3},{5}}=>{{1,6},{2,4,7},{3},{5}}
[7,6,4,2,5,3,1]=>[7,4,2,6,5,3,1]=>{{1,7},{2,4,6},{3},{5}}=>{{1,7},{2,4,6},{3},{5}}
[7,6,4,3,1,2,5]=>[1,4,7,6,5,3,2]=>{{1},{2,4,6},{3,7},{5}}=>{{1,5},{2,4,6},{3},{7}}
[7,6,4,3,1,5,2]=>[4,1,7,6,5,3,2]=>{{1,4,6},{2},{3,7},{5}}=>{{1,5},{2,4,7},{3},{6}}
[7,6,4,3,2,1,5]=>[4,7,6,5,3,2,1]=>{{1,4,5},{2,7},{3,6}}=>{{1,6},{2,5},{3,4,7}}
[7,6,4,3,2,5,1]=>[7,4,6,5,3,2,1]=>{{1,7},{2,4,5},{3,6}}=>{{1,7},{2,5},{3,4,6}}
[7,6,4,3,5,1,2]=>[4,7,1,6,5,3,2]=>{{1,4,6},{2,7},{3},{5}}=>{{1,6},{2,4,7},{3},{5}}
[7,6,4,3,5,2,1]=>[7,6,4,5,3,2,1]=>{{1,7},{2,6},{3,4,5}}=>{{1,7},{2,6},{3,4,5}}
[7,6,4,5,1,2,3]=>[1,4,7,2,6,5,3]=>{{1},{2,4},{3,7},{5,6}}=>{{1,5},{2,3},{4,6},{7}}
[7,6,4,5,1,3,2]=>[7,4,6,1,5,3,2]=>{{1,7},{2,4},{3,6},{5}}=>{{1,7},{2,5},{3},{4,6}}
[7,6,4,5,2,1,3]=>[4,7,6,2,5,3,1]=>{{1,4},{2,7},{3,6},{5}}=>{{1,6},{2,5},{3},{4,7}}
[7,6,4,5,2,3,1]=>[7,4,6,2,5,3,1]=>{{1,7},{2,4},{3,6},{5}}=>{{1,7},{2,5},{3},{4,6}}
[7,6,4,5,3,1,2]=>[4,7,6,1,5,3,2]=>{{1,4},{2,7},{3,6},{5}}=>{{1,6},{2,5},{3},{4,7}}
[7,6,4,5,3,2,1]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,7},{2,6},{3},{4,5}}
[7,6,5,1,2,3,4]=>[1,2,3,7,6,5,4]=>{{1},{2},{3},{4,7},{5,6}}=>{{1,4},{2,3},{5},{6},{7}}
[7,6,5,1,2,4,3]=>[7,1,2,6,5,4,3]=>{{1,7},{2},{3},{4,6},{5}}=>{{1,7},{2,4},{3},{5},{6}}
[7,6,5,1,3,2,4]=>[1,7,3,6,5,4,2]=>{{1},{2,7},{3},{4,6},{5}}=>{{1,6},{2,4},{3},{5},{7}}
[7,6,5,1,3,4,2]=>[7,1,3,6,5,4,2]=>{{1,7},{2},{3},{4,6},{5}}=>{{1,7},{2,4},{3},{5},{6}}
[7,6,5,1,4,2,3]=>[1,7,2,6,5,4,3]=>{{1},{2,7},{3},{4,6},{5}}=>{{1,6},{2,4},{3},{5},{7}}
[7,6,5,1,4,3,2]=>[7,6,1,5,4,3,2]=>{{1,7},{2,6},{3},{4,5}}=>{{1,7},{2,6},{3,4},{5}}
[7,6,5,2,1,3,4]=>[2,3,7,6,5,4,1]=>{{1,2,3,7},{4,6},{5}}=>{{1,5,6,7},{2,4},{3}}
[7,6,5,2,1,4,3]=>[2,1,7,6,5,4,3]=>{{1,2},{3,7},{4,6},{5}}=>{{1,5},{2,4},{3},{6,7}}
[7,6,5,2,3,1,4]=>[2,7,3,6,5,4,1]=>{{1,2,7},{3},{4,6},{5}}=>{{1,6,7},{2,4},{3},{5}}
[7,6,5,2,3,4,1]=>[7,2,3,6,5,4,1]=>{{1,7},{2},{3},{4,6},{5}}=>{{1,7},{2,4},{3},{5},{6}}
[7,6,5,2,4,1,3]=>[2,7,1,6,5,4,3]=>{{1,2,7},{3},{4,6},{5}}=>{{1,6,7},{2,4},{3},{5}}
[7,6,5,2,4,3,1]=>[7,6,2,5,4,3,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,7},{2,6},{3,4},{5}}
[7,6,5,3,1,2,4]=>[1,3,7,6,5,4,2]=>{{1},{2,3,7},{4,6},{5}}=>{{1,5,6},{2,4},{3},{7}}
[7,6,5,3,1,4,2]=>[3,1,7,6,5,4,2]=>{{1,3,7},{2},{4,6},{5}}=>{{1,5,7},{2,4},{3},{6}}
[7,6,5,3,2,1,4]=>[3,7,6,5,4,2,1]=>{{1,3,6},{2,7},{4,5}}=>{{1,6},{2,5,7},{3,4}}
[7,6,5,3,2,4,1]=>[7,3,6,5,4,2,1]=>{{1,7},{2,3,6},{4,5}}=>{{1,7},{2,5,6},{3,4}}
[7,6,5,3,4,1,2]=>[3,7,1,6,5,4,2]=>{{1,3},{2,7},{4,6},{5}}=>{{1,6},{2,4},{3},{5,7}}
[7,6,5,3,4,2,1]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,7},{2,6},{3,4},{5}}
[7,6,5,4,1,2,3]=>[1,2,7,6,5,4,3]=>{{1},{2},{3,7},{4,6},{5}}=>{{1,5},{2,4},{3},{6},{7}}
[7,6,5,4,1,3,2]=>[7,1,6,5,4,3,2]=>{{1,7},{2},{3,6},{4,5}}=>{{1,7},{2,5},{3,4},{6}}
[7,6,5,4,2,1,3]=>[2,7,6,5,4,3,1]=>{{1,2,7},{3,6},{4,5}}=>{{1,6,7},{2,5},{3,4}}
[7,6,5,4,2,3,1]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,7},{2,5},{3,4},{6}}
[7,6,5,4,3,1,2]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1,6},{2,5},{3,4},{7}}
[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,7},{2,6},{3,5},{4}}
[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,8,6,5,4,3,2,1]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1},{2,8},{3,7},{4,6},{5}}
[7,6,8,5,4,3,2,1]=>[7,6,5,4,3,2,8,1]=>{{1,7,8},{2,6},{3,5},{4}}=>{{1,2,8},{3,7},{4,6},{5}}
[6,7,8,5,4,3,2,1]=>[6,5,4,3,2,1,7,8]=>{{1,6},{2,5},{3,4},{7},{8}}=>{{1},{2},{3,8},{4,7},{5,6}}
[7,8,5,6,4,3,2,1]=>[7,5,4,3,2,8,1,6]=>{{1,7},{2,5},{3,4},{6,8}}=>{{1,3},{2,8},{4,7},{5,6}}
[7,6,5,8,4,3,2,1]=>[7,6,5,4,3,8,2,1]=>{{1,7},{2,6,8},{3,5},{4}}=>{{1,3,7},{2,8},{4,6},{5}}
[5,6,7,8,4,3,2,1]=>[5,4,3,2,1,6,7,8]=>{{1,5},{2,4},{3},{6},{7},{8}}=>{{1},{2},{3},{4,8},{5,7},{6}}
[7,8,6,4,5,3,2,1]=>[7,6,4,3,8,2,1,5]=>{{1,7},{2,6},{3,4},{5,8}}=>{{1,4},{2,8},{3,7},{5,6}}
[8,6,7,4,5,3,2,1]=>[8,6,4,3,7,2,5,1]=>{{1,8},{2,6},{3,4},{5,7}}=>{{1,8},{2,4},{3,7},{5,6}}
[7,6,5,4,8,3,2,1]=>[7,6,5,4,8,3,2,1]=>{{1,7},{2,6},{3,5,8},{4}}=>{{1,4,6},{2,8},{3,7},{5}}
[6,5,7,4,8,3,2,1]=>[6,5,4,3,7,2,8,1]=>{{1,6},{2,5,7,8},{3,4}}=>{{1,2,4,7},{3,8},{5,6}}
[5,6,7,4,8,3,2,1]=>[5,4,3,2,6,1,7,8]=>{{1,5,6},{2,4},{3},{7},{8}}=>{{1},{2},{3,4,8},{5,7},{6}}
[7,6,4,5,8,3,2,1]=>[7,6,4,3,5,8,2,1]=>{{1,7},{2,6,8},{3,4},{5}}=>{{1,3,7},{2,8},{4},{5,6}}
[5,6,4,7,8,3,2,1]=>[5,4,3,2,6,7,1,8]=>{{1,5,6,7},{2,4},{3},{8}}=>{{1},{2,3,4,8},{5,7},{6}}
[5,4,6,7,8,3,2,1]=>[5,4,3,2,6,7,8,1]=>{{1,5,6,7,8},{2,4},{3}}=>{{1,2,3,4,8},{5,7},{6}}
[4,5,6,7,8,3,2,1]=>[4,3,2,1,5,6,7,8]=>{{1,4},{2,3},{5},{6},{7},{8}}=>{{1},{2},{3},{4},{5,8},{6,7}}
[7,8,6,5,3,4,2,1]=>[7,6,5,8,3,2,1,4]=>{{1,7},{2,6},{3,5},{4,8}}=>{{1,5},{2,8},{3,7},{4,6}}
[8,6,7,5,3,4,2,1]=>[8,6,5,7,3,2,4,1]=>{{1,8},{2,6},{3,5},{4,7}}=>{{1,8},{2,5},{3,7},{4,6}}
[8,7,5,6,3,4,2,1]=>[8,7,5,6,3,4,2,1]=>{{1,8},{2,7},{3,5},{4,6}}=>{{1,8},{2,7},{3,5},{4,6}}
[7,8,5,6,3,4,2,1]=>[7,5,3,8,2,6,1,4]=>{{1,7},{2,5},{3},{4,8},{6}}=>{{1,5},{2,8},{3},{4,7},{6}}
[5,6,7,8,3,4,2,1]=>[5,3,2,6,1,4,7,8]=>{{1,5},{2,3},{4,6},{7},{8}}=>{{1},{2},{3,5},{4,8},{6,7}}
[6,7,8,4,3,5,2,1]=>[6,4,3,7,2,1,5,8]=>{{1,6},{2,4,7},{3},{5},{8}}=>{{1},{2,5,7},{3,8},{4},{6}}
[6,7,8,3,4,5,2,1]=>[6,3,2,7,8,1,4,5]=>{{1,6},{2,3},{4,7},{5,8}}=>{{1,4},{2,5},{3,8},{6,7}}
[7,6,5,4,3,8,2,1]=>[7,6,5,8,4,3,2,1]=>{{1,7},{2,6},{3,5},{4,8}}=>{{1,5},{2,8},{3,7},{4,6}}
[6,7,5,4,3,8,2,1]=>[6,5,4,7,3,2,1,8]=>{{1,6},{2,5},{3,4,7},{8}}=>{{1},{2,5,6},{3,8},{4,7}}
[6,7,4,5,3,8,2,1]=>[6,4,3,7,2,8,1,5]=>{{1,6,8},{2,4,7},{3},{5}}=>{{1,3,8},{2,5,7},{4},{6}}
[7,6,4,3,5,8,2,1]=>[7,6,4,5,8,3,2,1]=>{{1,7},{2,6},{3,4,5,8}}=>{{1,4,5,6},{2,8},{3,7}}
[7,6,3,4,5,8,2,1]=>[7,6,3,4,5,8,2,1]=>{{1,7},{2,6,8},{3},{4},{5}}=>{{1,3,7},{2,8},{4},{5},{6}}
[7,5,4,3,6,8,2,1]=>[7,5,4,6,8,3,2,1]=>{{1,7},{2,5,8},{3,4,6}}=>{{1,4,7},{2,8},{3,5,6}}
[4,3,5,6,7,8,2,1]=>[4,3,2,5,6,7,8,1]=>{{1,4,5,6,7,8},{2,3}}=>{{1,2,3,4,5,8},{6,7}}
[3,4,5,6,7,8,2,1]=>[3,2,1,4,5,6,7,8]=>{{1,3},{2},{4},{5},{6},{7},{8}}=>{{1},{2},{3},{4},{5},{6,8},{7}}
[7,8,6,5,4,2,3,1]=>[7,6,8,5,4,2,1,3]=>{{1,7},{2,6},{3,8},{4,5}}=>{{1,6},{2,8},{3,7},{4,5}}
[8,6,7,5,4,2,3,1]=>[8,6,7,5,4,2,3,1]=>{{1,8},{2,6},{3,7},{4,5}}=>{{1,8},{2,6},{3,7},{4,5}}
[8,7,5,6,4,2,3,1]=>[8,5,7,6,2,4,3,1]=>{{1,8},{2,5},{3,7},{4,6}}=>{{1,8},{2,6},{3,5},{4,7}}
[7,6,5,8,4,2,3,1]=>[7,6,8,5,2,4,3,1]=>{{1,7},{2,6},{3,8},{4,5}}=>{{1,6},{2,8},{3,7},{4,5}}
[8,7,6,4,5,2,3,1]=>[8,4,7,2,6,5,3,1]=>{{1,8},{2,4},{3,7},{5,6}}=>{{1,8},{2,6},{3,4},{5,7}}
[8,6,7,4,5,2,3,1]=>[8,6,7,4,5,2,3,1]=>{{1,8},{2,6},{3,7},{4},{5}}=>{{1,8},{2,6},{3,7},{4},{5}}
[6,5,7,4,8,2,3,1]=>[6,5,7,2,4,3,8,1]=>{{1,6},{2,5},{3,7,8},{4}}=>{{1,2,6},{3,8},{4,7},{5}}
[4,5,6,7,8,2,3,1]=>[4,2,5,1,3,6,7,8]=>{{1,4},{2},{3,5},{6},{7},{8}}=>{{1},{2},{3},{4,6},{5,8},{7}}
[8,6,5,7,3,2,4,1]=>[8,6,7,5,3,4,2,1]=>{{1,8},{2,6},{3,7},{4,5}}=>{{1,8},{2,6},{3,7},{4,5}}
[6,7,5,8,3,2,4,1]=>[6,5,7,3,2,4,1,8]=>{{1,6},{2,5},{3,7},{4},{8}}=>{{1},{2,6},{3,8},{4,7},{5}}
[5,6,7,8,3,2,4,1]=>[5,3,6,2,1,4,7,8]=>{{1,5},{2,3,6},{4},{7},{8}}=>{{1},{2},{3,6,7},{4,8},{5}}
[6,7,8,5,2,3,4,1]=>[6,5,7,8,2,1,3,4]=>{{1,6},{2,5},{3,7},{4,8}}=>{{1,5},{2,6},{3,8},{4,7}}
[8,5,6,7,2,3,4,1]=>[8,5,6,7,2,3,4,1]=>{{1,8},{2,5},{3,6},{4,7}}=>{{1,8},{2,5},{3,6},{4,7}}
[5,6,7,8,2,3,4,1]=>[5,2,6,7,1,3,4,8]=>{{1,5},{2},{3,6},{4,7},{8}}=>{{1},{2,5},{3,6},{4,8},{7}}
[8,7,6,3,4,2,5,1]=>[8,3,7,4,6,5,2,1]=>{{1,8},{2,3,7},{4},{5,6}}=>{{1,8},{2,6,7},{3,4},{5}}
[6,7,8,3,4,2,5,1]=>[6,3,7,2,8,1,4,5]=>{{1,6},{2,3,7},{4},{5,8}}=>{{1,4},{2,6,7},{3,8},{5}}
[7,6,5,4,3,2,8,1]=>[7,6,8,5,4,3,2,1]=>{{1,7},{2,6},{3,8},{4,5}}=>{{1,6},{2,8},{3,7},{4,5}}
[6,7,5,4,3,2,8,1]=>[6,5,7,4,3,2,1,8]=>{{1,6},{2,5},{3,7},{4},{8}}=>{{1},{2,6},{3,8},{4,7},{5}}
[6,5,7,4,3,2,8,1]=>[6,5,7,4,3,2,8,1]=>{{1,6},{2,5},{3,7,8},{4}}=>{{1,2,6},{3,8},{4,7},{5}}
[6,5,4,3,7,2,8,1]=>[6,5,7,4,8,3,2,1]=>{{1,6},{2,5,8},{3,7},{4}}=>{{1,4,7},{2,6},{3,8},{5}}
[5,4,6,3,7,2,8,1]=>[5,4,6,3,7,2,8,1]=>{{1,5,7,8},{2,4},{3,6}}=>{{1,2,4,8},{3,6},{5,7}}
[5,6,3,4,7,2,8,1]=>[5,3,6,2,7,8,1,4]=>{{1,5,7},{2,3,6,8},{4}}=>{{1,3,6,7},{2,4,8},{5}}
[3,4,5,6,7,2,8,1]=>[3,2,4,1,5,6,7,8]=>{{1,3,4},{2},{5},{6},{7},{8}}=>{{1},{2},{3},{4},{5,6,8},{7}}
[6,7,4,5,2,3,8,1]=>[6,4,7,8,2,5,1,3]=>{{1,6},{2,4,8},{3,7},{5}}=>{{1,5,7},{2,6},{3,8},{4}}
[6,4,5,7,2,3,8,1]=>[6,4,5,7,2,3,8,1]=>{{1,6},{2,4,7,8},{3,5}}=>{{1,2,5,7},{3,8},{4,6}}
[7,5,4,3,2,6,8,1]=>[7,5,6,8,4,3,2,1]=>{{1,7},{2,5},{3,6},{4,8}}=>{{1,5},{2,8},{3,6},{4,7}}
[7,5,3,2,4,6,8,1]=>[7,3,5,6,8,4,2,1]=>{{1,7},{2,3,5,8},{4,6}}=>{{1,4,6,7},{2,8},{3,5}}
[6,5,4,3,2,7,8,1]=>[6,5,7,8,4,3,2,1]=>{{1,6},{2,5},{3,7},{4,8}}=>{{1,5},{2,6},{3,8},{4,7}}
[5,4,3,6,2,7,8,1]=>[5,4,6,7,3,8,2,1]=>{{1,5},{2,4,7},{3,6,8}}=>{{1,3,6},{2,5,7},{4,8}}
[4,5,2,3,6,7,8,1]=>[4,2,5,6,7,8,1,3]=>{{1,4,6,8},{2},{3,5,7}}=>{{1,3,5,8},{2,4,6},{7}}
[5,2,3,4,6,7,8,1]=>[5,2,3,4,6,7,8,1]=>{{1,5,6,7,8},{2},{3},{4}}=>{{1,2,3,4,8},{5},{6},{7}}
[4,3,2,5,6,7,8,1]=>[4,3,5,6,7,8,2,1]=>{{1,4,6,8},{2,3,5,7}}=>{{1,3,5,8},{2,4,6,7}}
[3,4,2,5,6,7,8,1]=>[3,2,4,5,6,7,1,8]=>{{1,3,4,5,6,7},{2},{8}}=>{{1},{2,3,4,5,6,8},{7}}
[4,2,3,5,6,7,8,1]=>[4,2,3,5,6,7,8,1]=>{{1,4,5,6,7,8},{2},{3}}=>{{1,2,3,4,5,8},{6},{7}}
[3,2,4,5,6,7,8,1]=>[3,2,4,5,6,7,8,1]=>{{1,3,4,5,6,7,8},{2}}=>{{1,2,3,4,5,6,8},{7}}
[2,3,4,5,6,7,8,1]=>[2,1,3,4,5,6,7,8]=>{{1,2},{3},{4},{5},{6},{7},{8}}=>{{1},{2},{3},{4},{5},{6},{7,8}}
[8,7,6,5,4,3,1,2]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1,7},{2,6},{3,5},{4},{8}}
[7,8,6,5,4,3,1,2]=>[7,8,6,5,4,3,1,2]=>{{1,7},{2,8},{3,6},{4,5}}=>{{1,7},{2,8},{3,6},{4,5}}
[8,6,7,5,4,3,1,2]=>[6,8,7,5,4,1,3,2]=>{{1,6},{2,8},{3,7},{4,5}}=>{{1,7},{2,6},{3,8},{4,5}}
[8,7,5,6,4,3,1,2]=>[5,8,7,6,1,4,3,2]=>{{1,5},{2,8},{3,7},{4,6}}=>{{1,7},{2,6},{3,5},{4,8}}
[7,8,5,6,4,3,1,2]=>[7,8,5,4,3,6,1,2]=>{{1,7},{2,8},{3,5},{4},{6}}=>{{1,7},{2,8},{3},{4,6},{5}}
[5,6,7,8,4,3,1,2]=>[5,6,4,3,1,2,7,8]=>{{1,5},{2,6},{3,4},{7},{8}}=>{{1},{2},{3,7},{4,8},{5,6}}
[8,7,6,4,5,3,1,2]=>[4,8,7,1,6,5,3,2]=>{{1,4},{2,8},{3,7},{5,6}}=>{{1,7},{2,6},{3,4},{5,8}}
[8,7,6,5,3,4,1,2]=>[3,8,1,7,6,5,4,2]=>{{1,3},{2,8},{4,7},{5,6}}=>{{1,7},{2,5},{3,4},{6,8}}
[7,8,6,5,3,4,1,2]=>[7,8,3,6,5,4,1,2]=>{{1,7},{2,8},{3},{4,6},{5}}=>{{1,7},{2,8},{3,5},{4},{6}}
[8,7,5,6,3,4,1,2]=>[5,8,3,7,1,6,4,2]=>{{1,5},{2,8},{3},{4,7},{6}}=>{{1,7},{2,5},{3},{4,8},{6}}
[7,8,5,6,3,4,1,2]=>[7,8,5,6,3,4,1,2]=>{{1,7},{2,8},{3,5},{4,6}}=>{{1,7},{2,8},{3,5},{4,6}}
[8,5,6,7,3,4,1,2]=>[5,8,3,6,1,4,7,2]=>{{1,5},{2,8},{3},{4,6},{7}}=>{{1,7},{2},{3,5},{4,8},{6}}
[7,5,6,8,3,4,1,2]=>[5,7,3,6,1,4,8,2]=>{{1,5},{2,7,8},{3},{4,6}}=>{{1,2,7},{3,5},{4,8},{6}}
[5,6,7,8,3,4,1,2]=>[5,6,3,4,1,2,7,8]=>{{1,5},{2,6},{3},{4},{7},{8}}=>{{1},{2},{3,7},{4,8},{5},{6}}
[7,8,4,5,3,6,1,2]=>[7,8,4,5,3,6,1,2]=>{{1,7},{2,8},{3,4,5},{6}}=>{{1,7},{2,8},{3},{4,5,6}}
[7,8,5,3,4,6,1,2]=>[7,8,3,5,6,4,1,2]=>{{1,7},{2,8},{3},{4,5,6}}=>{{1,7},{2,8},{3,4,5},{6}}
[7,8,3,4,5,6,1,2]=>[7,8,3,4,5,6,1,2]=>{{1,7},{2,8},{3},{4},{5},{6}}=>{{1,7},{2,8},{3},{4},{5},{6}}
[8,6,5,4,3,7,1,2]=>[6,8,1,7,5,4,3,2]=>{{1,6},{2,8},{3},{4,7},{5}}=>{{1,7},{2,5},{3,8},{4},{6}}
[7,6,5,4,3,8,1,2]=>[7,8,1,6,5,4,3,2]=>{{1,7},{2,8},{3},{4,6},{5}}=>{{1,7},{2,8},{3,5},{4},{6}}
[5,6,7,4,3,8,1,2]=>[5,6,1,4,3,2,7,8]=>{{1,5},{2,6},{3},{4},{7},{8}}=>{{1},{2},{3,7},{4,8},{5},{6}}
[6,7,4,5,3,8,1,2]=>[6,7,4,5,3,8,1,2]=>{{1,6,8},{2,7},{3,4,5}}=>{{1,3,8},{2,7},{4,5,6}}
[5,6,3,4,7,8,1,2]=>[5,6,3,4,7,8,1,2]=>{{1,5,7},{2,6,8},{3},{4}}=>{{1,3,7},{2,4,8},{5},{6}}
[3,4,5,6,7,8,1,2]=>[3,4,1,2,5,6,7,8]=>{{1,3},{2,4},{5},{6},{7},{8}}=>{{1},{2},{3},{4},{5,7},{6,8}}
[7,6,8,5,4,2,1,3]=>[7,8,6,5,4,2,3,1]=>{{1,7},{2,8},{3,6},{4,5}}=>{{1,7},{2,8},{3,6},{4,5}}
[8,7,5,6,4,2,1,3]=>[5,8,7,6,2,4,3,1]=>{{1,5},{2,8},{3,7},{4,6}}=>{{1,7},{2,6},{3,5},{4,8}}
[7,8,5,6,4,2,1,3]=>[7,8,5,4,2,6,1,3]=>{{1,7},{2,8},{3,5},{4},{6}}=>{{1,7},{2,8},{3},{4,6},{5}}
[6,7,5,8,4,2,1,3]=>[6,7,5,4,2,3,1,8]=>{{1,6},{2,7},{3,5},{4},{8}}=>{{1},{2,7},{3,8},{4,6},{5}}
[5,6,7,8,4,2,1,3]=>[5,6,4,2,1,3,7,8]=>{{1,5},{2,6},{3,4},{7},{8}}=>{{1},{2},{3,7},{4,8},{5,6}}
[8,7,6,4,5,2,1,3]=>[4,8,7,2,6,5,3,1]=>{{1,4},{2,8},{3,7},{5,6}}=>{{1,7},{2,6},{3,4},{5,8}}
[8,6,5,4,7,2,1,3]=>[6,8,7,2,5,4,3,1]=>{{1,6},{2,8},{3,7},{4},{5}}=>{{1,7},{2,6},{3,8},{4},{5}}
[6,7,8,5,4,1,2,3]=>[6,7,8,5,4,1,2,3]=>{{1,6},{2,7},{3,8},{4,5}}=>{{1,6},{2,7},{3,8},{4,5}}
[8,5,6,7,4,1,2,3]=>[5,6,8,7,1,2,4,3]=>{{1,5},{2,6},{3,8},{4,7}}=>{{1,6},{2,5},{3,7},{4,8}}
[5,6,7,8,4,1,2,3]=>[5,6,7,4,1,2,3,8]=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1},{2,6},{3,7},{4,8},{5}}
[8,6,7,4,5,1,2,3]=>[1,6,8,4,7,2,5,3]=>{{1},{2,6},{3,8},{4},{5,7}}=>{{1,6},{2,4},{3,7},{5},{8}}
[8,7,5,4,6,1,2,3]=>[1,5,8,2,7,6,4,3]=>{{1},{2,5,7},{3,8},{4},{6}}=>{{1,6},{2,4,7},{3},{5},{8}}
[8,7,4,5,6,1,2,3]=>[4,5,8,1,2,7,6,3]=>{{1,4},{2,5},{3,8},{6,7}}=>{{1,6},{2,3},{4,7},{5,8}}
[8,6,4,5,7,1,2,3]=>[4,6,8,1,2,7,5,3]=>{{1,4},{2,6,7},{3,8},{5}}=>{{1,6},{2,3,7},{4},{5,8}}
[6,7,5,4,8,1,2,3]=>[6,7,8,1,5,4,2,3]=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}
[6,5,7,4,8,1,2,3]=>[6,7,8,1,5,2,4,3]=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}
[6,7,4,5,8,1,2,3]=>[6,7,8,1,4,5,2,3]=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}
[6,5,4,7,8,1,2,3]=>[6,7,8,1,2,5,4,3]=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}
[4,5,6,7,8,1,2,3]=>[4,5,6,1,2,3,7,8]=>{{1,4},{2,5},{3,6},{7},{8}}=>{{1},{2},{3,6},{4,7},{5,8}}
[8,6,7,5,3,2,1,4]=>[6,8,7,5,3,2,4,1]=>{{1,6},{2,8},{3,7},{4,5}}=>{{1,7},{2,6},{3,8},{4,5}}
[8,7,5,6,3,2,1,4]=>[5,8,7,6,3,4,2,1]=>{{1,5},{2,8},{3,7},{4,6}}=>{{1,7},{2,6},{3,5},{4,8}}
[7,6,5,8,3,2,1,4]=>[7,8,6,5,3,4,2,1]=>{{1,7},{2,8},{3,6},{4,5}}=>{{1,7},{2,8},{3,6},{4,5}}
[5,6,7,8,3,2,1,4]=>[5,6,3,2,1,4,7,8]=>{{1,5},{2,6},{3},{4},{7},{8}}=>{{1},{2},{3,7},{4,8},{5},{6}}
[7,6,8,5,2,3,1,4]=>[2,7,6,8,5,3,4,1]=>{{1,2,7},{3,6},{4,8},{5}}=>{{1,5},{2,7,8},{3,6},{4}}
[7,8,5,6,2,3,1,4]=>[2,7,5,8,3,6,1,4]=>{{1,2,7},{3,5},{4,8},{6}}=>{{1,5},{2,7,8},{3},{4,6}}
[6,7,5,8,2,3,1,4]=>[6,7,5,8,2,3,1,4]=>{{1,6},{2,7},{3,5},{4,8}}=>{{1,5},{2,7},{3,8},{4,6}}
[7,5,6,8,2,3,1,4]=>[5,7,6,8,2,3,4,1]=>{{1,5},{2,7},{3,6},{4,8}}=>{{1,5},{2,7},{3,6},{4,8}}
[5,6,7,8,2,3,1,4]=>[5,6,2,7,1,3,4,8]=>{{1,5},{2,6},{3},{4,7},{8}}=>{{1},{2,5},{3,7},{4,8},{6}}
[7,6,8,5,3,1,2,4]=>[1,7,8,6,5,3,4,2]=>{{1},{2,7},{3,8},{4,6},{5}}=>{{1,6},{2,7},{3,5},{4},{8}}
[6,7,5,8,3,1,2,4]=>[6,7,8,5,1,3,2,4]=>{{1,6},{2,7},{3,8},{4,5}}=>{{1,6},{2,7},{3,8},{4,5}}
[7,5,6,8,3,1,2,4]=>[5,7,8,6,1,3,4,2]=>{{1,5},{2,7},{3,8},{4,6}}=>{{1,6},{2,7},{3,5},{4,8}}
[5,6,7,8,3,1,2,4]=>[5,6,7,3,1,2,4,8]=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1},{2,6},{3,7},{4,8},{5}}
[6,7,8,5,2,1,3,4]=>[6,7,8,5,2,1,3,4]=>{{1,6},{2,7},{3,8},{4,5}}=>{{1,6},{2,7},{3,8},{4,5}}
[6,5,7,8,2,1,3,4]=>[6,7,8,5,2,3,4,1]=>{{1,6},{2,7},{3,8},{4,5}}=>{{1,6},{2,7},{3,8},{4,5}}
[5,6,7,8,2,1,3,4]=>[5,6,7,2,1,3,4,8]=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1},{2,6},{3,7},{4,8},{5}}
[8,7,6,5,1,2,3,4]=>[1,2,3,8,7,6,5,4]=>{{1},{2},{3},{4,8},{5,7},{6}}=>{{1,5},{2,4},{3},{6},{7},{8}}
[8,7,5,6,1,2,3,4]=>[1,2,5,8,3,7,6,4]=>{{1},{2},{3,5},{4,8},{6,7}}=>{{1,5},{2,3},{4,6},{7},{8}}
[8,5,6,7,1,2,3,4]=>[1,5,6,8,2,3,7,4]=>{{1},{2,5},{3,6},{4,8},{7}}=>{{1,5},{2},{3,6},{4,7},{8}}
[5,6,7,8,1,2,3,4]=>[5,6,7,8,1,2,3,4]=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,5},{2,6},{3,7},{4,8}}
[8,7,6,4,3,2,1,5]=>[4,8,7,6,5,3,2,1]=>{{1,4,6},{2,8},{3,7},{5}}=>{{1,7},{2,6},{3,5,8},{4}}
[7,6,8,4,2,3,1,5]=>[2,7,6,8,4,3,5,1]=>{{1,2,7},{3,6},{4,8},{5}}=>{{1,5},{2,7,8},{3,6},{4}}
[8,7,6,3,2,4,1,5]=>[3,8,4,7,6,5,2,1]=>{{1,3,4,7},{2,8},{5,6}}=>{{1,7},{2,5,6,8},{3,4}}
[8,7,6,4,3,1,2,5]=>[1,4,8,7,6,5,3,2]=>{{1},{2,4,7},{3,8},{5,6}}=>{{1,6},{2,5,7},{3,4},{8}}
[6,7,8,4,3,1,2,5]=>[6,7,8,4,3,1,2,5]=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}
[6,7,8,3,4,1,2,5]=>[6,7,8,3,4,1,2,5]=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}
[8,7,6,4,2,1,3,5]=>[2,4,8,7,6,5,3,1]=>{{1,2,4,7},{3,8},{5,6}}=>{{1,6},{2,5,7,8},{3,4}}
[6,7,8,4,2,1,3,5]=>[6,7,8,4,2,1,3,5]=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}
[8,7,6,4,1,2,3,5]=>[1,2,4,8,7,6,5,3]=>{{1},{2},{3,4,8},{5,7},{6}}=>{{1,5,6},{2,4},{3},{7},{8}}
[8,7,6,3,2,1,4,5]=>[3,4,8,7,6,5,2,1]=>{{1,3,8},{2,4,7},{5,6}}=>{{1,6,8},{2,5,7},{3,4}}
[6,7,8,3,2,1,4,5]=>[6,7,8,3,2,1,4,5]=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}
[8,7,6,3,1,2,4,5]=>[1,3,4,8,7,6,5,2]=>{{1},{2,3,4,8},{5,7},{6}}=>{{1,5,6,7},{2,4},{3},{8}}
[8,7,6,2,1,3,4,5]=>[2,3,4,8,7,6,5,1]=>{{1,2,3,4,8},{5,7},{6}}=>{{1,5,6,7,8},{2,4},{3}}
[8,7,6,1,2,3,4,5]=>[1,2,3,4,8,7,6,5]=>{{1},{2},{3},{4},{5,8},{6,7}}=>{{1,4},{2,3},{5},{6},{7},{8}}
[8,7,5,4,3,2,1,6]=>[5,8,7,6,4,3,2,1]=>{{1,5},{2,8},{3,7},{4,6}}=>{{1,7},{2,6},{3,5},{4,8}}
[7,8,5,4,3,2,1,6]=>[7,8,5,4,3,2,1,6]=>{{1,7},{2,8},{3,5},{4},{6}}=>{{1,7},{2,8},{3},{4,6},{5}}
[8,7,4,3,5,2,1,6]=>[4,8,7,5,6,3,2,1]=>{{1,4,5,6},{2,8},{3,7}}=>{{1,7},{2,6},{3,4,5,8}}
[8,7,5,4,3,1,2,6]=>[1,5,8,7,6,4,3,2]=>{{1},{2,5,6},{3,8},{4,7}}=>{{1,6},{2,5},{3,4,7},{8}}
[8,7,5,3,4,1,2,6]=>[3,5,8,1,7,6,4,2]=>{{1,3,8},{2,5,7},{4},{6}}=>{{1,6,8},{2,4,7},{3},{5}}
[7,8,5,4,2,1,3,6]=>[2,7,8,5,4,3,1,6]=>{{1,2,7},{3,8},{4,5},{6}}=>{{1,6},{2,7,8},{3},{4,5}}
[7,8,5,4,1,2,3,6]=>[1,2,7,8,5,4,3,6]=>{{1},{2},{3,7},{4,8},{5},{6}}=>{{1,5},{2,6},{3},{4},{7},{8}}
[8,7,5,3,2,1,4,6]=>[3,5,8,7,6,4,2,1]=>{{1,3,8},{2,5,6},{4,7}}=>{{1,6,8},{2,5},{3,4,7}}
[8,7,5,1,2,3,4,6]=>[1,2,3,5,8,7,6,4]=>{{1},{2},{3},{4,5,8},{6,7}}=>{{1,4,5},{2,3},{6},{7},{8}}
[7,8,3,4,1,2,5,6]=>[3,4,7,8,5,6,1,2]=>{{1,3,7},{2,4,8},{5},{6}}=>{{1,5,7},{2,6,8},{3},{4}}
[8,7,3,2,1,4,5,6]=>[3,4,5,8,7,6,2,1]=>{{1,3,5,7},{2,4,8},{6}}=>{{1,5,7},{2,4,6,8},{3}}
[7,8,3,2,1,4,5,6]=>[3,4,7,8,5,2,1,6]=>{{1,3,7},{2,4,8},{5},{6}}=>{{1,5,7},{2,6,8},{3},{4}}
[8,7,2,3,1,4,5,6]=>[2,3,4,8,5,7,6,1]=>{{1,2,3,4,8},{5},{6,7}}=>{{1,5,6,7,8},{2,3},{4}}
[8,7,1,2,3,4,5,6]=>[1,2,3,4,5,8,7,6]=>{{1},{2},{3},{4},{5},{6,8},{7}}=>{{1,3},{2},{4},{5},{6},{7},{8}}
[7,8,1,2,3,4,5,6]=>[1,2,3,4,7,8,5,6]=>{{1},{2},{3},{4},{5,7},{6,8}}=>{{1,3},{2,4},{5},{6},{7},{8}}
[8,3,4,5,6,2,1,7]=>[3,8,4,2,5,6,7,1]=>{{1,3,4},{2,8},{5},{6},{7}}=>{{1,7},{2},{3},{4},{5,6,8}}
[8,5,4,3,2,6,1,7]=>[5,8,6,7,4,3,2,1]=>{{1,5},{2,8},{3,6},{4,7}}=>{{1,7},{2,5},{3,6},{4,8}}
[8,5,4,2,3,6,1,7]=>[2,8,5,6,7,4,3,1]=>{{1,2,8},{3,5,7},{4,6}}=>{{1,7,8},{2,4,6},{3,5}}
[8,2,3,4,5,6,1,7]=>[2,8,3,4,5,6,7,1]=>{{1,2,8},{3},{4},{5},{6},{7}}=>{{1,7,8},{2},{3},{4},{5},{6}}
[8,6,5,4,3,1,2,7]=>[1,6,8,7,5,4,3,2]=>{{1},{2,6},{3,8},{4,7},{5}}=>{{1,6},{2,5},{3,7},{4},{8}}
[8,3,4,5,6,1,2,7]=>[3,4,8,1,5,6,7,2]=>{{1,3,8},{2,4},{5},{6},{7}}=>{{1,6,8},{2},{3},{4},{5,7}}
[8,6,5,4,2,1,3,7]=>[2,6,8,7,5,4,3,1]=>{{1,2,6},{3,8},{4,7},{5}}=>{{1,6},{2,5},{3,7,8},{4}}
[8,6,4,5,1,2,3,7]=>[1,4,6,8,2,7,5,3]=>{{1},{2,4,8},{3,6,7},{5}}=>{{1,5,7},{2,3,6},{4},{8}}
[8,5,6,2,3,1,4,7]=>[2,5,8,6,7,3,4,1]=>{{1,2,5,7},{3,8},{4,6}}=>{{1,6},{2,4,7,8},{3,5}}
[8,6,5,1,2,3,4,7]=>[1,2,3,6,8,7,5,4]=>{{1},{2},{3},{4,6,7},{5,8}}=>{{1,4},{2,3,5},{6},{7},{8}}
[8,6,3,4,1,2,5,7]=>[3,4,6,8,1,7,5,2]=>{{1,3,6,7},{2,4,8},{5}}=>{{1,5,7},{2,3,6,8},{4}}
[8,6,4,2,1,3,5,7]=>[2,4,6,8,7,5,3,1]=>{{1,2,4,8},{3,6},{5,7}}=>{{1,5,7,8},{2,4},{3,6}}
[8,4,5,3,2,1,6,7]=>[4,5,8,6,3,2,7,1]=>{{1,4,6},{2,5},{3,8},{7}}=>{{1,6},{2},{3,5,8},{4,7}}
[8,5,3,2,1,4,6,7]=>[3,5,6,8,7,4,2,1]=>{{1,3,6},{2,5,7},{4,8}}=>{{1,5},{2,4,7},{3,6,8}}
[8,5,2,1,3,4,6,7]=>[2,3,5,6,8,7,4,1]=>{{1,2,3,5,8},{4,6,7}}=>{{1,4,6,7,8},{2,3,5}}
[8,5,1,2,3,4,6,7]=>[1,2,3,5,6,8,7,4]=>{{1},{2},{3},{4,5,6,8},{7}}=>{{1,3,4,5},{2},{6},{7},{8}}
[8,2,3,4,1,5,6,7]=>[2,3,4,8,5,6,7,1]=>{{1,2,3,4,8},{5},{6},{7}}=>{{1,5,6,7,8},{2},{3},{4}}
[8,3,1,2,4,5,6,7]=>[1,3,4,5,6,8,7,2]=>{{1},{2,3,4,5,6,8},{7}}=>{{1,3,4,5,6,7},{2},{8}}
[8,2,1,3,4,5,6,7]=>[2,3,4,5,6,8,7,1]=>{{1,2,3,4,5,6,8},{7}}=>{{1,3,4,5,6,7,8},{2}}
[8,1,2,3,4,5,6,7]=>[1,2,3,4,5,6,8,7]=>{{1},{2},{3},{4},{5},{6},{7,8}}=>{{1,2},{3},{4},{5},{6},{7},{8}}
[7,6,5,4,3,2,1,8]=>[7,8,6,5,4,3,2,1]=>{{1,7},{2,8},{3,6},{4,5}}=>{{1,7},{2,8},{3,6},{4,5}}
[6,7,5,4,3,2,1,8]=>[6,7,5,4,3,2,1,8]=>{{1,6},{2,7},{3,5},{4},{8}}=>{{1},{2,7},{3,8},{4,6},{5}}
[6,5,7,4,3,2,1,8]=>[6,7,5,4,3,2,8,1]=>{{1,6},{2,7,8},{3,5},{4}}=>{{1,2,7},{3,8},{4,6},{5}}
[7,5,4,6,3,2,1,8]=>[5,7,6,4,3,8,2,1]=>{{1,5},{2,7},{3,6,8},{4}}=>{{1,3,6},{2,7},{4,8},{5}}
[7,6,4,3,5,2,1,8]=>[4,7,6,5,8,3,2,1]=>{{1,4,5,8},{2,7},{3,6}}=>{{1,4,5,8},{2,7},{3,6}}
[7,6,3,4,5,2,1,8]=>[3,7,6,4,5,8,2,1]=>{{1,3,6,8},{2,7},{4},{5}}=>{{1,3,6,8},{2,7},{4},{5}}
[7,5,6,4,2,3,1,8]=>[5,7,6,8,4,2,3,1]=>{{1,5},{2,7},{3,6},{4,8}}=>{{1,5},{2,7},{3,6},{4,8}}
[6,7,4,5,2,3,1,8]=>[6,7,4,8,2,5,1,3]=>{{1,6},{2,7},{3,4,8},{5}}=>{{1,5,6},{2,7},{3,8},{4}}
[5,6,4,7,2,3,1,8]=>[5,6,4,7,2,3,1,8]=>{{1,5},{2,6},{3,4,7},{8}}=>{{1},{2,5,6},{3,7},{4,8}}
[7,6,5,3,2,4,1,8]=>[3,7,6,8,5,4,2,1]=>{{1,3,6},{2,7},{4,8},{5}}=>{{1,5},{2,7},{3,6,8},{4}}
[5,6,7,3,2,4,1,8]=>[5,6,3,7,2,1,4,8]=>{{1,5},{2,6},{3},{4,7},{8}}=>{{1},{2,5},{3,7},{4,8},{6}}
[6,5,7,2,3,4,1,8]=>[2,6,5,7,8,3,4,1]=>{{1,2,6},{3,5,8},{4,7}}=>{{1,4,6},{2,5},{3,7,8}}
[6,7,4,3,2,5,1,8]=>[6,7,4,8,3,2,1,5]=>{{1,6},{2,7},{3,4,8},{5}}=>{{1,5,6},{2,7},{3,8},{4}}
[6,7,3,4,2,5,1,8]=>[3,6,4,7,2,8,1,5]=>{{1,3,4,7},{2,6,8},{5}}=>{{1,3,7},{2,5,6,8},{4}}
[7,4,5,3,2,6,1,8]=>[4,7,5,6,3,2,8,1]=>{{1,4,6},{2,7,8},{3,5}}=>{{1,2,7},{3,5,8},{4,6}}
[7,4,5,2,3,6,1,8]=>[4,7,5,6,8,2,3,1]=>{{1,4,6},{2,7},{3,5,8}}=>{{1,4,6},{2,7},{3,5,8}}
[7,5,3,2,4,6,1,8]=>[3,7,5,6,8,4,2,1]=>{{1,3,5,8},{2,7},{4,6}}=>{{1,4,6,8},{2,7},{3,5}}
[5,6,3,4,2,7,1,8]=>[5,6,3,7,2,8,1,4]=>{{1,5},{2,6,8},{3},{4,7}}=>{{1,3,7},{2,5},{4,8},{6}}
[4,5,3,6,2,7,1,8]=>[4,5,3,6,2,7,1,8]=>{{1,4,6,7},{2,5},{3},{8}}=>{{1},{2,3,5,8},{4,7},{6}}
[3,2,4,5,6,7,1,8]=>[3,4,2,5,6,7,8,1]=>{{1,3},{2,4,5,6,7,8}}=>{{1,2,3,4,5,7},{6,8}}
[7,6,5,4,3,1,2,8]=>[1,7,8,6,5,4,3,2]=>{{1},{2,7},{3,8},{4,6},{5}}=>{{1,6},{2,7},{3,5},{4},{8}}
[6,7,3,4,5,1,2,8]=>[3,6,7,4,5,8,1,2]=>{{1,3,7},{2,6,8},{4},{5}}=>{{1,3,7},{2,6,8},{4},{5}}
[7,5,3,4,6,1,2,8]=>[3,5,7,1,6,8,4,2]=>{{1,3,7},{2,5,6,8},{4}}=>{{1,3,4,7},{2,6,8},{5}}
[6,5,4,3,7,1,2,8]=>[6,7,8,1,5,4,3,2]=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}
[6,3,4,5,7,1,2,8]=>[3,4,6,1,5,7,8,2]=>{{1,3,6,7,8},{2,4},{5}}=>{{1,2,3,6,8},{4},{5,7}}
[7,6,5,4,2,1,3,8]=>[2,7,8,6,5,4,3,1]=>{{1,2,7},{3,8},{4,6},{5}}=>{{1,6},{2,7,8},{3,5},{4}}
[7,4,5,6,2,1,3,8]=>[4,5,7,6,2,3,8,1]=>{{1,4,6},{2,5},{3,7,8}}=>{{1,2,6},{3,5,8},{4,7}}
[5,6,7,4,1,2,3,8]=>[5,6,7,8,4,1,2,3]=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,5},{2,6},{3,7},{4,8}}
[7,5,4,6,1,2,3,8]=>[1,5,7,8,2,6,4,3]=>{{1},{2,5},{3,7},{4,8},{6}}=>{{1,5},{2,6},{3},{4,7},{8}}
[5,4,6,7,1,2,3,8]=>[5,6,7,8,1,2,4,3]=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,5},{2,6},{3,7},{4,8}}
[4,5,6,7,1,2,3,8]=>[4,5,6,7,1,2,3,8]=>{{1,4,7},{2,5},{3,6},{8}}=>{{1},{2,5,8},{3,6},{4,7}}
[5,6,7,2,1,3,4,8]=>[5,6,7,8,2,1,3,4]=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,5},{2,6},{3,7},{4,8}}
[7,6,5,1,2,3,4,8]=>[1,2,3,7,8,6,5,4]=>{{1},{2},{3},{4,7},{5,8},{6}}=>{{1,4},{2,5},{3},{6},{7},{8}}
[5,6,7,1,2,3,4,8]=>[1,5,6,7,8,2,3,4]=>{{1},{2,5,8},{3,6},{4,7}}=>{{1,4,7},{2,5},{3,6},{8}}
[6,7,4,3,2,1,5,8]=>[6,7,8,4,3,2,1,5]=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}
[7,6,4,3,1,2,5,8]=>[1,4,7,8,6,5,3,2]=>{{1},{2,4,8},{3,7},{5,6}}=>{{1,5,7},{2,6},{3,4},{8}}
[7,6,1,2,3,4,5,8]=>[1,2,3,4,7,8,6,5]=>{{1},{2},{3},{4},{5,7},{6,8}}=>{{1,3},{2,4},{5},{6},{7},{8}}
[7,2,3,4,5,1,6,8]=>[2,3,7,4,5,6,8,1]=>{{1,2,3,7,8},{4},{5},{6}}=>{{1,2,6,7,8},{3},{4},{5}}
[7,5,3,1,2,4,6,8]=>[1,3,5,7,8,6,4,2]=>{{1},{2,3,5,8},{4,7},{6}}=>{{1,4,6,7},{2,5},{3},{8}}
[7,5,1,2,3,4,6,8]=>[1,2,3,5,7,8,6,4]=>{{1},{2},{3},{4,5,7},{6,8}}=>{{1,3},{2,4,5},{6},{7},{8}}
[7,3,1,2,4,5,6,8]=>[1,3,4,5,7,8,6,2]=>{{1},{2,3,4,5,7},{6,8}}=>{{1,3},{2,4,5,6,7},{8}}
[7,1,2,3,4,5,6,8]=>[1,2,3,4,5,7,8,6]=>{{1},{2},{3},{4},{5},{6,7,8}}=>{{1,2,3},{4},{5},{6},{7},{8}}
[6,5,4,3,2,1,7,8]=>[6,7,8,5,4,3,2,1]=>{{1,6},{2,7},{3,8},{4,5}}=>{{1,6},{2,7},{3,8},{4,5}}
[5,6,4,3,2,1,7,8]=>[5,6,7,4,3,2,1,8]=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1},{2,6},{3,7},{4,8},{5}}
[3,2,4,5,6,1,7,8]=>[3,4,5,2,6,7,8,1]=>{{1,3,5,6,7,8},{2,4}}=>{{1,2,3,4,6,8},{5,7}}
[2,3,4,5,6,1,7,8]=>[2,3,4,1,5,6,7,8]=>{{1,2,3,4},{5},{6},{7},{8}}=>{{1},{2},{3},{4},{5,6,7,8}}
[6,5,4,3,1,2,7,8]=>[1,6,7,8,5,4,3,2]=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1,5},{2,6},{3,7},{4},{8}}
[5,4,6,3,1,2,7,8]=>[5,6,7,8,4,1,3,2]=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,5},{2,6},{3,7},{4,8}}
[5,6,3,4,1,2,7,8]=>[5,6,7,8,3,4,1,2]=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,5},{2,6},{3,7},{4,8}}
[5,4,3,6,1,2,7,8]=>[5,6,7,8,1,4,3,2]=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,5},{2,6},{3,7},{4,8}}
[4,3,5,6,1,2,7,8]=>[4,5,6,7,1,3,8,2]=>{{1,4,7,8},{2,5},{3,6}}=>{{1,2,5,8},{3,6},{4,7}}
[5,6,4,2,1,3,7,8]=>[5,6,7,8,4,2,1,3]=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,5},{2,6},{3,7},{4,8}}
[4,5,6,2,1,3,7,8]=>[4,5,6,7,2,1,3,8]=>{{1,4,7},{2,5},{3,6},{8}}=>{{1},{2,5,8},{3,6},{4,7}}
[6,5,4,1,2,3,7,8]=>[1,2,6,7,8,5,4,3]=>{{1},{2},{3,6},{4,7},{5,8}}=>{{1,4},{2,5},{3,6},{7},{8}}
[4,5,6,1,2,3,7,8]=>[4,5,6,7,8,1,2,3]=>{{1,4,7},{2,5,8},{3,6}}=>{{1,4,7},{2,5,8},{3,6}}
[5,6,3,2,1,4,7,8]=>[5,6,7,8,3,2,1,4]=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,5},{2,6},{3,7},{4,8}}
[5,6,2,1,3,4,7,8]=>[2,5,6,7,8,3,1,4]=>{{1,2,5,8},{3,6},{4,7}}=>{{1,4,7,8},{2,5},{3,6}}
[6,5,1,2,3,4,7,8]=>[1,2,3,6,7,8,5,4]=>{{1},{2},{3},{4,6,8},{5,7}}=>{{1,3,5},{2,4},{6},{7},{8}}
[5,6,1,2,3,4,7,8]=>[1,2,5,6,7,8,3,4]=>{{1},{2},{3,5,7},{4,6,8}}=>{{1,3,5},{2,4,6},{7},{8}}
[6,4,1,2,3,5,7,8]=>[1,2,4,6,7,8,5,3]=>{{1},{2},{3,4,6,8},{5,7}}=>{{1,3,5,6},{2,4},{7},{8}}
[6,1,2,3,4,5,7,8]=>[1,2,3,4,6,7,8,5]=>{{1},{2},{3},{4},{5,6,7,8}}=>{{1,2,3,4},{5},{6},{7},{8}}
[5,4,3,2,1,6,7,8]=>[5,6,7,8,4,3,2,1]=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,5},{2,6},{3,7},{4,8}}
[4,5,3,2,1,6,7,8]=>[4,5,6,7,3,2,1,8]=>{{1,4,7},{2,5},{3,6},{8}}=>{{1},{2,5,8},{3,6},{4,7}}
[4,3,5,2,1,6,7,8]=>[4,5,6,7,3,2,8,1]=>{{1,4,7,8},{2,5},{3,6}}=>{{1,2,5,8},{3,6},{4,7}}
[4,5,2,3,1,6,7,8]=>[4,5,6,7,2,8,1,3]=>{{1,4,7},{2,5},{3,6,8}}=>{{1,3,6},{2,5,8},{4,7}}
[4,3,2,5,1,6,7,8]=>[4,5,6,7,3,8,2,1]=>{{1,4,7},{2,5},{3,6,8}}=>{{1,3,6},{2,5,8},{4,7}}
[2,3,4,5,1,6,7,8]=>[2,3,4,5,1,6,7,8]=>{{1,2,3,4,5},{6},{7},{8}}=>{{1},{2},{3},{4,5,6,7,8}}
[5,4,3,1,2,6,7,8]=>[1,5,6,7,8,4,3,2]=>{{1},{2,5,8},{3,6},{4,7}}=>{{1,4,7},{2,5},{3,6},{8}}
[5,3,4,1,2,6,7,8]=>[3,5,6,7,8,1,4,2]=>{{1,3,6},{2,5,8},{4,7}}=>{{1,4,7},{2,5},{3,6,8}}
[4,3,5,1,2,6,7,8]=>[4,5,6,7,8,1,3,2]=>{{1,4,7},{2,5,8},{3,6}}=>{{1,4,7},{2,5,8},{3,6}}
[5,4,2,1,3,6,7,8]=>[2,5,6,7,8,4,3,1]=>{{1,2,5,8},{3,6},{4,7}}=>{{1,4,7,8},{2,5},{3,6}}
[4,5,2,1,3,6,7,8]=>[4,5,6,7,8,2,1,3]=>{{1,4,7},{2,5,8},{3,6}}=>{{1,4,7},{2,5,8},{3,6}}
[5,4,1,2,3,6,7,8]=>[1,2,5,6,7,8,4,3]=>{{1},{2},{3,5,7},{4,6,8}}=>{{1,3,5},{2,4,6},{7},{8}}
[4,5,1,2,3,6,7,8]=>[1,4,5,6,7,8,2,3]=>{{1},{2,4,6,8},{3,5,7}}=>{{1,3,5,7},{2,4,6},{8}}
[5,3,2,1,4,6,7,8]=>[3,5,6,7,8,4,2,1]=>{{1,3,6},{2,5,8},{4,7}}=>{{1,4,7},{2,5},{3,6,8}}
[5,3,1,2,4,6,7,8]=>[1,3,5,6,7,8,4,2]=>{{1},{2,3,5,7},{4,6,8}}=>{{1,3,5},{2,4,6,7},{8}}
[5,2,1,3,4,6,7,8]=>[2,3,5,6,7,8,4,1]=>{{1,2,3,5,7},{4,6,8}}=>{{1,3,5},{2,4,6,7,8}}
[5,1,2,3,4,6,7,8]=>[1,2,3,5,6,7,8,4]=>{{1},{2},{3},{4,5,6,7,8}}=>{{1,2,3,4,5},{6},{7},{8}}
[4,3,2,1,5,6,7,8]=>[4,5,6,7,8,3,2,1]=>{{1,4,7},{2,5,8},{3,6}}=>{{1,4,7},{2,5,8},{3,6}}
[2,3,4,1,5,6,7,8]=>[2,3,4,5,6,1,7,8]=>{{1,2,3,4,5,6},{7},{8}}=>{{1},{2},{3,4,5,6,7,8}}
[3,4,1,2,5,6,7,8]=>[3,4,5,6,7,8,1,2]=>{{1,3,5,7},{2,4,6,8}}=>{{1,3,5,7},{2,4,6,8}}
[4,1,2,3,5,6,7,8]=>[1,2,4,5,6,7,8,3]=>{{1},{2},{3,4,5,6,7,8}}=>{{1,2,3,4,5,6},{7},{8}}
[2,3,1,4,5,6,7,8]=>[2,3,4,5,6,7,1,8]=>{{1,2,3,4,5,6,7},{8}}=>{{1},{2,3,4,5,6,7,8}}
[3,1,2,4,5,6,7,8]=>[1,3,4,5,6,7,8,2]=>{{1},{2,3,4,5,6,7,8}}=>{{1,2,3,4,5,6,7},{8}}
[2,1,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>{{1,2,3,4,5,6,7,8}}=>{{1,2,3,4,5,6,7,8}}
[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>{{1},{2},{3},{4},{5},{6},{7},{8}}=>{{1},{2},{3},{4},{5},{6},{7},{8}}
[6,8,7,5,4,3,2,1]=>[8,6,5,4,3,2,1,7]=>{{1,8},{2,6},{3,5},{4},{7}}=>{{1,8},{2},{3,7},{4,6},{5}}
[6,5,8,7,4,3,2,1]=>[6,5,4,3,2,1,8,7]=>{{1,6},{2,5},{3,4},{7,8}}=>{{1,2},{3,8},{4,7},{5,6}}
[4,8,7,6,5,3,2,1]=>[8,7,6,4,3,2,1,5]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[4,7,8,6,5,3,2,1]=>[7,6,4,3,2,1,5,8]=>{{1,7},{2,6},{3,4},{5},{8}}=>{{1},{2,8},{3,7},{4},{5,6}}
[4,6,8,7,5,3,2,1]=>[8,6,4,3,2,1,5,7]=>{{1,8},{2,6},{3,4},{5},{7}}=>{{1,8},{2},{3,7},{4},{5,6}}
[5,4,7,8,6,3,2,1]=>[5,4,3,2,1,7,8,6]=>{{1,5},{2,4},{3},{6,7,8}}=>{{1,2,3},{4,8},{5,7},{6}}
[4,5,8,7,6,3,2,1]=>[8,7,4,3,2,1,5,6]=>{{1,8},{2,7},{3,4},{5},{6}}=>{{1,8},{2,7},{3},{4},{5,6}}
[4,5,7,8,6,3,2,1]=>[7,4,3,2,1,5,6,8]=>{{1,7},{2,4},{3},{5},{6},{8}}=>{{1},{2,8},{3},{4},{5,7},{6}}
[5,6,4,8,7,3,2,1]=>[5,4,3,2,1,8,6,7]=>{{1,5},{2,4},{3},{6,8},{7}}=>{{1,3},{2},{4,8},{5,7},{6}}
[4,6,5,8,7,3,2,1]=>[6,4,3,2,1,8,5,7]=>{{1,6,8},{2,4},{3},{5},{7}}=>{{1,3,8},{2},{4},{5,7},{6}}
[4,5,6,8,7,3,2,1]=>[8,4,3,2,1,5,6,7]=>{{1,8},{2,4},{3},{5},{6},{7}}=>{{1,8},{2},{3},{4},{5,7},{6}}
[5,4,7,6,8,3,2,1]=>[5,4,3,2,7,1,8,6]=>{{1,5,7,8},{2,4},{3},{6}}=>{{1,2,4,8},{3},{5,7},{6}}
[3,8,7,6,5,4,2,1]=>[8,7,6,5,3,2,1,4]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,8},{2,7},{3,6},{4,5}}
[4,3,7,8,6,5,2,1]=>[7,4,3,2,1,6,8,5]=>{{1,7,8},{2,4},{3},{5},{6}}=>{{1,2,8},{3},{4},{5,7},{6}}
[4,3,6,7,8,5,2,1]=>[4,3,2,1,6,7,8,5]=>{{1,4},{2,3},{5,6,7,8}}=>{{1,2,3,4},{5,8},{6,7}}
[3,4,8,7,6,5,2,1]=>[8,7,6,3,2,1,4,5]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[5,4,3,8,7,6,2,1]=>[5,4,3,2,1,8,7,6]=>{{1,5},{2,4},{3},{6,8},{7}}=>{{1,3},{2},{4,8},{5,7},{6}}
[5,4,3,7,8,6,2,1]=>[5,4,3,2,7,8,6,1]=>{{1,5,7},{2,4},{3},{6,8}}=>{{1,3},{2,4,8},{5,7},{6}}
[3,4,5,8,7,6,2,1]=>[8,7,3,2,1,4,5,6]=>{{1,8},{2,7},{3},{4},{5},{6}}=>{{1,8},{2,7},{3},{4},{5},{6}}
[5,6,4,3,8,7,2,1]=>[5,4,3,2,8,6,1,7]=>{{1,5,8},{2,4},{3},{6},{7}}=>{{1,4,8},{2},{3},{5,7},{6}}
[4,5,6,3,8,7,2,1]=>[4,3,2,1,8,5,6,7]=>{{1,4},{2,3},{5,8},{6},{7}}=>{{1,4},{2},{3},{5,8},{6,7}}
[4,3,6,5,8,7,2,1]=>[4,3,2,1,6,5,8,7]=>{{1,4},{2,3},{5,6},{7,8}}=>{{1,2},{3,4},{5,8},{6,7}}
[5,4,3,6,8,7,2,1]=>[5,4,3,2,6,8,7,1]=>{{1,5,6,8},{2,4},{3},{7}}=>{{1,3,4,8},{2},{5,7},{6}}
[4,5,3,6,8,7,2,1]=>[4,3,2,1,5,8,6,7]=>{{1,4},{2,3},{5},{6,8},{7}}=>{{1,3},{2},{4},{5,8},{6,7}}
[3,4,5,6,8,7,2,1]=>[8,3,2,1,4,5,6,7]=>{{1,8},{2,3},{4},{5},{6},{7}}=>{{1,8},{2},{3},{4},{5},{6,7}}
[2,8,7,6,5,4,3,1]=>[8,7,6,5,4,2,1,3]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,8},{2,7},{3,6},{4,5}}
[2,7,8,6,5,4,3,1]=>[7,6,5,4,2,1,3,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1},{2,8},{3,7},{4,6},{5}}
[2,6,8,7,5,4,3,1]=>[8,6,5,4,2,1,3,7]=>{{1,8},{2,6},{3,5},{4},{7}}=>{{1,8},{2},{3,7},{4,6},{5}}
[2,4,8,7,6,5,3,1]=>[8,7,6,4,2,1,3,5]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[2,4,6,8,7,5,3,1]=>[8,6,4,2,1,3,5,7]=>{{1,8},{2,6},{3,4},{5},{7}}=>{{1,8},{2},{3,7},{4},{5,6}}
[2,5,4,8,7,6,3,1]=>[8,5,4,2,1,7,3,6]=>{{1,8},{2,5},{3,4},{6,7}}=>{{1,8},{2,3},{4,7},{5,6}}
[3,2,5,6,7,8,4,1]=>[3,2,1,5,6,7,8,4]=>{{1,3},{2},{4,5,6,7,8}}=>{{1,2,3,4,5},{6,8},{7}}
[2,3,8,7,6,5,4,1]=>[8,7,6,5,2,1,3,4]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,8},{2,7},{3,6},{4,5}}
[2,3,6,5,8,7,4,1]=>[6,5,2,1,8,3,4,7]=>{{1,6},{2,5,8},{3},{4},{7}}=>{{1,4,7},{2},{3,8},{5},{6}}
[4,3,2,8,7,6,5,1]=>[8,4,3,2,1,7,6,5]=>{{1,8},{2,4},{3},{5},{6,7}}=>{{1,8},{2,3},{4},{5,7},{6}}
[4,3,2,7,8,6,5,1]=>[4,3,2,1,7,8,6,5]=>{{1,4},{2,3},{5,7},{6,8}}=>{{1,3},{2,4},{5,8},{6,7}}
[2,4,3,6,8,7,5,1]=>[8,4,2,1,3,6,5,7]=>{{1,8},{2,4},{3},{5},{6},{7}}=>{{1,8},{2},{3},{4},{5,7},{6}}
[2,3,4,8,7,6,5,1]=>[8,7,6,2,1,3,4,5]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[5,4,3,2,8,7,6,1]=>[5,4,3,2,8,7,6,1]=>{{1,5,8},{2,4},{3},{6,7}}=>{{1,4,8},{2,3},{5,7},{6}}
[2,5,4,3,7,8,6,1]=>[5,4,2,3,7,6,1,8]=>{{1,5,7},{2,4},{3},{6},{8}}=>{{1},{2,4,8},{3},{5,7},{6}}
[2,4,5,3,8,7,6,1]=>[8,4,2,1,7,3,5,6]=>{{1,8},{2,4},{3},{5,7},{6}}=>{{1,8},{2,4},{3},{5,7},{6}}
[3,2,5,4,7,8,6,1]=>[3,2,1,5,7,4,8,6]=>{{1,3},{2},{4,5,7,8},{6}}=>{{1,2,4,5},{3},{6,8},{7}}
[2,3,5,4,8,7,6,1]=>[8,5,2,1,7,3,4,6]=>{{1,8},{2,5,7},{3},{4},{6}}=>{{1,8},{2,4,7},{3},{5},{6}}
[4,3,2,5,8,7,6,1]=>[4,3,2,1,5,8,7,6]=>{{1,4},{2,3},{5},{6,8},{7}}=>{{1,3},{2},{4},{5,8},{6,7}}
[2,3,4,5,7,8,6,1]=>[7,2,1,3,4,5,6,8]=>{{1,7},{2},{3},{4},{5},{6},{8}}=>{{1},{2,8},{3},{4},{5},{6},{7}}
[5,4,3,6,2,8,7,1]=>[5,4,3,8,6,7,2,1]=>{{1,5,6,7},{2,4,8},{3}}=>{{1,5,7},{2,3,4,8},{6}}
[2,4,6,5,3,8,7,1]=>[6,4,2,8,3,1,5,7]=>{{1,6},{2,4,8},{3},{5},{7}}=>{{1,5,7},{2},{3,8},{4},{6}}
[3,2,6,5,4,8,7,1]=>[6,3,2,5,4,1,8,7]=>{{1,6},{2,3},{4,5},{7,8}}=>{{1,2},{3,8},{4,5},{6,7}}
[2,4,3,6,5,8,7,1]=>[4,2,1,6,3,8,5,7]=>{{1,4,6,8},{2},{3},{5},{7}}=>{{1,3,5,8},{2},{4},{6},{7}}
[2,4,5,3,6,8,7,1]=>[4,2,1,3,8,5,6,7]=>{{1,4},{2},{3},{5,8},{6},{7}}=>{{1,4},{2},{3},{5,8},{6},{7}}
[2,3,4,5,6,8,7,1]=>[8,2,1,3,4,5,6,7]=>{{1,8},{2},{3},{4},{5},{6},{7}}=>{{1,8},{2},{3},{4},{5},{6},{7}}
[4,3,6,5,7,2,8,1]=>[4,3,6,2,7,1,8,5]=>{{1,4},{2,3,6},{5,7,8}}=>{{1,2,4},{3,6,7},{5,8}}
[2,5,6,7,4,3,8,1]=>[5,2,4,3,1,6,7,8]=>{{1,5},{2},{3,4},{6},{7},{8}}=>{{1},{2},{3},{4,8},{5,6},{7}}
[2,4,6,7,5,3,8,1]=>[6,2,4,3,1,5,7,8]=>{{1,6},{2},{3,4},{5},{7},{8}}=>{{1},{2},{3,8},{4},{5,6},{7}}
[2,5,4,7,6,3,8,1]=>[5,2,4,3,1,7,6,8]=>{{1,5},{2},{3,4},{6,7},{8}}=>{{1},{2,3},{4,8},{5,6},{7}}
[3,2,6,5,7,4,8,1]=>[6,3,5,2,7,1,8,4]=>{{1,6},{2,3,5,7,8},{4}}=>{{1,2,4,6,7},{3,8},{5}}
[3,2,5,6,7,4,8,1]=>[3,2,5,1,6,7,8,4]=>{{1,3,5,6,7,8},{2},{4}}=>{{1,2,3,4,6,8},{5},{7}}
[4,3,2,6,7,5,8,1]=>[4,3,6,2,7,8,5,1]=>{{1,4},{2,3,6,8},{5,7}}=>{{1,3,6,7},{2,4},{5,8}}
[3,4,2,7,6,5,8,1]=>[7,3,4,2,1,6,5,8]=>{{1,7},{2,3,4},{5},{6},{8}}=>{{1},{2,8},{3},{4},{5,6,7}}
[3,4,2,6,7,5,8,1]=>[3,2,4,1,6,7,5,8]=>{{1,3,4},{2},{5,6,7},{8}}=>{{1},{2,3,4},{5,6,8},{7}}
[2,3,4,6,7,5,8,1]=>[6,2,3,1,4,5,7,8]=>{{1,6},{2},{3},{4},{5},{7},{8}}=>{{1},{2},{3,8},{4},{5},{6},{7}}
[4,3,5,2,7,6,8,1]=>[4,3,5,2,7,6,8,1]=>{{1,4},{2,3,5,7,8},{6}}=>{{1,2,4,6,7},{3},{5,8}}
[3,4,5,2,7,6,8,1]=>[3,2,4,1,7,5,6,8]=>{{1,3,4},{2},{5,7},{6},{8}}=>{{1},{2,4},{3},{5,6,8},{7}}
[3,2,5,4,7,6,8,1]=>[3,2,5,1,7,4,8,6]=>{{1,3,5,7,8},{2},{4},{6}}=>{{1,2,4,6,8},{3},{5},{7}}
[3,4,2,5,7,6,8,1]=>[3,2,4,1,5,7,6,8]=>{{1,3,4},{2},{5},{6,7},{8}}=>{{1},{2,3},{4},{5,6,8},{7}}
[3,2,4,5,7,6,8,1]=>[3,2,4,1,5,7,8,6]=>{{1,3,4},{2},{5},{6,7,8}}=>{{1,2,3},{4},{5,6,8},{7}}
[2,3,6,5,4,7,8,1]=>[6,2,3,5,4,1,7,8]=>{{1,6},{2},{3},{4,5},{7},{8}}=>{{1},{2},{3,8},{4,5},{6},{7}}
[2,3,5,6,4,7,8,1]=>[5,2,3,4,1,6,7,8]=>{{1,5},{2},{3},{4},{6},{7},{8}}=>{{1},{2},{3},{4,8},{5},{6},{7}}
[4,3,2,6,5,7,8,1]=>[4,3,6,7,2,8,5,1]=>{{1,4,7},{2,3,6,8},{5}}=>{{1,3,6,7},{2,5,8},{4}}
[2,4,5,3,6,7,8,1]=>[4,2,3,5,6,1,7,8]=>{{1,4,5,6},{2},{3},{7},{8}}=>{{1},{2},{3,4,5,8},{6},{7}}
[1,8,7,6,5,4,3,2]=>[8,7,6,5,4,3,1,2]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,8},{2,7},{3,6},{4,5}}
[1,7,8,6,5,4,3,2]=>[7,6,5,4,3,1,2,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1},{2,8},{3,7},{4,6},{5}}
[1,6,8,7,5,4,3,2]=>[8,6,5,4,3,1,2,7]=>{{1,8},{2,6},{3,5},{4},{7}}=>{{1,8},{2},{3,7},{4,6},{5}}
[1,6,5,8,7,4,3,2]=>[6,5,4,3,1,8,2,7]=>{{1,6,8},{2,5},{3,4},{7}}=>{{1,3,8},{2},{4,7},{5,6}}
[1,7,6,5,8,4,3,2]=>[7,6,5,1,4,3,2,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1},{2,8},{3,7},{4,6},{5}}
[1,4,8,7,6,5,3,2]=>[8,7,6,4,3,1,2,5]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[1,4,7,8,6,5,3,2]=>[7,6,4,3,1,2,5,8]=>{{1,7},{2,6},{3,4},{5},{8}}=>{{1},{2,8},{3,7},{4},{5,6}}
[1,3,8,7,6,5,4,2]=>[8,7,6,5,3,1,2,4]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,8},{2,7},{3,6},{4,5}}
[1,3,5,7,8,6,4,2]=>[7,5,3,1,2,4,6,8]=>{{1,7},{2,5},{3},{4},{6},{8}}=>{{1},{2,8},{3},{4,7},{5},{6}}
[1,3,5,6,7,8,4,2]=>[5,3,1,2,4,6,7,8]=>{{1,5},{2,3},{4},{6},{7},{8}}=>{{1},{2},{3},{4,8},{5},{6,7}}
[1,4,3,7,8,6,5,2]=>[7,4,3,1,2,6,5,8]=>{{1,7},{2,4},{3},{5},{6},{8}}=>{{1},{2,8},{3},{4},{5,7},{6}}
[1,4,3,7,6,8,5,2]=>[7,4,1,3,2,6,5,8]=>{{1,7},{2,4},{3},{5},{6},{8}}=>{{1},{2,8},{3},{4},{5,7},{6}}
[1,3,4,8,7,6,5,2]=>[8,7,6,3,1,2,4,5]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[1,3,5,4,8,7,6,2]=>[8,5,3,1,7,2,4,6]=>{{1,8},{2,5,7},{3},{4},{6}}=>{{1,8},{2,4,7},{3},{5},{6}}
[1,3,4,5,7,8,6,2]=>[7,3,1,2,4,5,6,8]=>{{1,7},{2,3},{4},{5},{6},{8}}=>{{1},{2,8},{3},{4},{5},{6,7}}
[1,6,5,4,3,8,7,2]=>[6,5,1,8,4,3,2,7]=>{{1,6},{2,5},{3},{4,8},{7}}=>{{1,5},{2},{3,8},{4,7},{6}}
[1,4,3,6,5,8,7,2]=>[4,3,1,6,2,8,5,7]=>{{1,4,6,8},{2,3},{5},{7}}=>{{1,3,5,8},{2},{4},{6,7}}
[1,4,5,3,6,8,7,2]=>[4,3,1,2,8,5,6,7]=>{{1,4},{2,3},{5,8},{6},{7}}=>{{1,4},{2},{3},{5,8},{6,7}}
[1,3,4,5,6,8,7,2]=>[8,3,1,2,4,5,6,7]=>{{1,8},{2,3},{4},{5},{6},{7}}=>{{1,8},{2},{3},{4},{5},{6,7}}
[1,4,5,6,7,3,8,2]=>[4,1,3,2,5,6,7,8]=>{{1,4},{2},{3},{5},{6},{7},{8}}=>{{1},{2},{3},{4},{5,8},{6},{7}}
[1,6,5,4,3,7,8,2]=>[6,1,5,7,4,3,2,8]=>{{1,6},{2},{3,5},{4,7},{8}}=>{{1},{2,5},{3,8},{4,6},{7}}
[1,3,4,5,6,7,8,2]=>[3,1,2,4,5,6,7,8]=>{{1,3},{2},{4},{5},{6},{7},{8}}=>{{1},{2},{3},{4},{5},{6,8},{7}}
[2,1,8,7,6,5,4,3]=>[8,7,6,5,2,1,4,3]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,8},{2,7},{3,6},{4,5}}
[2,1,6,7,8,5,4,3]=>[6,5,2,1,4,7,8,3]=>{{1,6,7,8},{2,5},{3},{4}}=>{{1,2,3,8},{4,7},{5},{6}}
[2,1,6,5,8,7,4,3]=>[6,5,2,1,4,3,8,7]=>{{1,6},{2,5},{3},{4},{7,8}}=>{{1,2},{3,8},{4,7},{5},{6}}
[2,1,5,4,8,7,6,3]=>[8,5,2,1,4,3,7,6]=>{{1,8},{2,5},{3},{4},{6},{7}}=>{{1,8},{2},{3},{4,7},{5},{6}}
[2,1,4,5,8,7,6,3]=>[8,7,2,1,4,5,6,3]=>{{1,8},{2,7},{3},{4},{5},{6}}=>{{1,8},{2,7},{3},{4},{5},{6}}
[2,1,4,5,7,8,6,3]=>[7,2,1,4,5,6,8,3]=>{{1,7,8},{2},{3},{4},{5},{6}}=>{{1,2,8},{3},{4},{5},{6},{7}}
[2,1,4,6,5,8,7,3]=>[6,2,1,4,3,5,8,7]=>{{1,6},{2},{3},{4},{5},{7,8}}=>{{1,2},{3,8},{4},{5},{6},{7}}
[2,1,7,6,5,4,8,3]=>[7,2,6,5,4,1,8,3]=>{{1,7,8},{2},{3,6},{4,5}}=>{{1,2,8},{3,6},{4,5},{7}}
[2,1,5,4,7,6,8,3]=>[5,2,4,1,7,3,8,6]=>{{1,5,7,8},{2},{3,4},{6}}=>{{1,2,4,8},{3},{5,6},{7}}
[2,1,4,5,6,7,8,3]=>[2,1,4,5,6,7,8,3]=>{{1,2},{3,4,5,6,7,8}}=>{{1,2,3,4,5,6},{7,8}}
[1,2,8,7,6,5,4,3]=>[8,7,6,5,4,1,2,3]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,8},{2,7},{3,6},{4,5}}
[1,2,7,8,6,5,4,3]=>[7,6,5,4,1,2,3,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1},{2,8},{3,7},{4,6},{5}}
[1,2,4,8,7,6,5,3]=>[8,7,6,4,1,2,3,5]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[1,2,5,4,8,7,6,3]=>[8,5,4,1,7,2,3,6]=>{{1,8},{2,5,7},{3,4},{6}}=>{{1,8},{2,4,7},{3},{5,6}}
[1,2,4,5,8,7,6,3]=>[8,7,4,1,2,3,5,6]=>{{1,8},{2,7},{3,4},{5},{6}}=>{{1,8},{2,7},{3},{4},{5,6}}
[1,2,6,5,4,8,7,3]=>[6,5,1,8,4,2,3,7]=>{{1,6},{2,5},{3},{4,8},{7}}=>{{1,5},{2},{3,8},{4,7},{6}}
[1,2,5,4,6,8,7,3]=>[5,4,1,2,8,3,6,7]=>{{1,5,8},{2,4},{3},{6},{7}}=>{{1,4,8},{2},{3},{5,7},{6}}
[1,2,4,5,6,8,7,3]=>[8,4,1,2,3,5,6,7]=>{{1,8},{2,4},{3},{5},{6},{7}}=>{{1,8},{2},{3},{4},{5,7},{6}}
[1,2,5,6,4,7,8,3]=>[5,1,2,4,3,6,7,8]=>{{1,5},{2},{3},{4},{6},{7},{8}}=>{{1},{2},{3},{4,8},{5},{6},{7}}
[1,2,4,5,6,7,8,3]=>[4,1,2,3,5,6,7,8]=>{{1,4},{2},{3},{5},{6},{7},{8}}=>{{1},{2},{3},{4},{5,8},{6},{7}}
[3,2,1,6,7,8,5,4]=>[3,2,1,6,7,8,5,4]=>{{1,3},{2},{4,6,8},{5,7}}=>{{1,3,5},{2,4},{6,8},{7}}
[3,2,1,5,7,8,6,4]=>[3,2,1,5,7,8,6,4]=>{{1,3},{2},{4,5,7},{6,8}}=>{{1,3},{2,4,5},{6,8},{7}}
[3,2,1,6,5,8,7,4]=>[3,2,1,6,5,8,7,4]=>{{1,3},{2},{4,6,8},{5},{7}}=>{{1,3,5},{2},{4},{6,8},{7}}
[3,2,1,5,6,8,7,4]=>[3,2,1,5,6,8,7,4]=>{{1,3},{2},{4,5,6,8},{7}}=>{{1,3,4,5},{2},{6,8},{7}}
[3,2,1,5,7,6,8,4]=>[3,2,5,1,7,8,6,4]=>{{1,3,5,7},{2},{4},{6,8}}=>{{1,3},{2,4,6,8},{5},{7}}
[1,2,3,8,7,6,5,4]=>[8,7,6,5,1,2,3,4]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,8},{2,7},{3,6},{4,5}}
[1,2,3,7,8,6,5,4]=>[7,6,5,1,2,3,4,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1},{2,8},{3,7},{4,6},{5}}
[1,2,3,6,8,7,5,4]=>[8,6,5,1,2,3,4,7]=>{{1,8},{2,6},{3,5},{4},{7}}=>{{1,8},{2},{3,7},{4,6},{5}}
[1,2,3,5,8,7,6,4]=>[8,7,5,1,2,3,4,6]=>{{1,8},{2,7},{3,5},{4},{6}}=>{{1,8},{2,7},{3},{4,6},{5}}
[1,2,3,5,7,8,6,4]=>[7,5,1,2,3,4,6,8]=>{{1,7},{2,5},{3},{4},{6},{8}}=>{{1},{2,8},{3},{4,7},{5},{6}}
[1,2,3,5,6,7,8,4]=>[5,1,2,3,4,6,7,8]=>{{1,5},{2},{3},{4},{6},{7},{8}}=>{{1},{2},{3},{4,8},{5},{6},{7}}
[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>{{1,4},{2,3},{5,8},{6,7}}=>{{1,4},{2,3},{5,8},{6,7}}
[3,4,2,1,7,8,6,5]=>[3,2,1,4,7,6,5,8]=>{{1,3},{2},{4},{5,7},{6},{8}}=>{{1},{2,4},{3},{5},{6,8},{7}}
[3,4,2,1,7,6,8,5]=>[3,2,4,1,7,6,5,8]=>{{1,3,4},{2},{5,7},{6},{8}}=>{{1},{2,4},{3},{5,6,8},{7}}
[2,4,3,1,6,8,7,5]=>[4,2,1,3,8,6,5,7]=>{{1,4},{2},{3},{5,8},{6},{7}}=>{{1,4},{2},{3},{5,8},{6},{7}}
[3,2,4,1,7,8,6,5]=>[3,2,1,4,7,6,8,5]=>{{1,3},{2},{4},{5,7,8},{6}}=>{{1,2,4},{3},{5},{6,8},{7}}
[3,2,4,1,7,6,8,5]=>[3,2,4,1,7,6,8,5]=>{{1,3,4},{2},{5,7,8},{6}}=>{{1,2,4},{3},{5,6,8},{7}}
[1,4,3,2,8,7,6,5]=>[8,4,3,1,7,6,2,5]=>{{1,8},{2,4},{3},{5,7},{6}}=>{{1,8},{2,4},{3},{5,7},{6}}
[1,4,3,2,6,8,7,5]=>[4,3,1,2,8,6,5,7]=>{{1,4},{2,3},{5,8},{6},{7}}=>{{1,4},{2},{3},{5,8},{6,7}}
[2,1,4,3,8,7,6,5]=>[8,7,2,1,4,3,6,5]=>{{1,8},{2,7},{3},{4},{5},{6}}=>{{1,8},{2,7},{3},{4},{5},{6}}
[2,1,4,3,7,8,6,5]=>[7,2,1,4,6,3,8,5]=>{{1,7,8},{2},{3},{4},{5,6}}=>{{1,2,8},{3,4},{5},{6},{7}}
[1,2,4,3,8,7,6,5]=>[8,7,4,1,6,2,3,5]=>{{1,8},{2,7},{3,4},{5,6}}=>{{1,8},{2,7},{3,4},{5,6}}
[1,2,4,3,7,6,8,5]=>[7,1,4,2,6,3,5,8]=>{{1,7},{2},{3,4},{5,6},{8}}=>{{1},{2,8},{3,4},{5,6},{7}}
[1,2,4,3,6,7,8,5]=>[4,1,2,3,6,5,7,8]=>{{1,4},{2},{3},{5,6},{7},{8}}=>{{1},{2},{3,4},{5,8},{6},{7}}
[3,2,1,4,7,8,6,5]=>[3,2,1,4,7,8,6,5]=>{{1,3},{2},{4},{5,7},{6,8}}=>{{1,3},{2,4},{5},{6,8},{7}}
[3,2,1,4,7,6,8,5]=>[3,2,4,1,7,8,6,5]=>{{1,3,4},{2},{5,7},{6,8}}=>{{1,3},{2,4},{5,6,8},{7}}
[2,1,3,4,6,7,8,5]=>[2,1,3,4,6,7,8,5]=>{{1,2},{3},{4},{5,6,7,8}}=>{{1,2,3,4},{5},{6},{7,8}}
[1,2,3,4,8,7,6,5]=>[8,7,6,1,2,3,4,5]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[1,2,3,4,6,7,8,5]=>[6,1,2,3,4,5,7,8]=>{{1,6},{2},{3},{4},{5},{7},{8}}=>{{1},{2},{3,8},{4},{5},{6},{7}}
[3,4,5,2,1,8,7,6]=>[3,2,1,8,7,4,5,6]=>{{1,3},{2},{4,8},{5,7},{6}}=>{{1,5},{2,4},{3},{6,8},{7}}
[3,2,5,4,1,8,7,6]=>[3,2,1,8,5,4,7,6]=>{{1,3},{2},{4,8},{5},{6},{7}}=>{{1,5},{2},{3},{4},{6,8},{7}}
[4,3,2,5,1,8,7,6]=>[4,3,2,8,5,7,6,1]=>{{1,4,8},{2,3},{5},{6,7}}=>{{1,5,8},{2,3},{4},{6,7}}
[3,4,2,5,1,8,7,6]=>[3,2,1,8,4,7,5,6]=>{{1,3},{2},{4,8},{5},{6,7}}=>{{1,5},{2,3},{4},{6,8},{7}}
[1,4,5,3,2,8,7,6]=>[4,3,1,8,7,2,5,6]=>{{1,4,8},{2,3},{5,7},{6}}=>{{1,5,8},{2,4},{3},{6,7}}
[1,2,5,4,3,8,7,6]=>[5,4,1,8,7,2,3,6]=>{{1,5,7},{2,4,8},{3},{6}}=>{{1,5,7},{2,4,8},{3},{6}}
[1,2,4,5,3,8,7,6]=>[8,4,1,7,2,3,5,6]=>{{1,8},{2,4,7},{3},{5},{6}}=>{{1,8},{2,5,7},{3},{4},{6}}
[1,3,2,5,4,8,7,6]=>[8,3,1,5,2,7,4,6]=>{{1,8},{2,3},{4,5},{6,7}}=>{{1,8},{2,3},{4,5},{6,7}}
[2,4,3,1,5,8,7,6]=>[4,2,1,3,8,7,5,6]=>{{1,4},{2},{3},{5,8},{6,7}}=>{{1,4},{2,3},{5,8},{6},{7}}
[3,2,4,1,5,7,8,6]=>[3,2,4,5,7,6,8,1]=>{{1,3,4,5,7,8},{2},{6}}=>{{1,2,4,5,6,8},{3},{7}}
[1,4,3,2,5,8,7,6]=>[4,3,1,2,8,7,5,6]=>{{1,4},{2,3},{5,8},{6,7}}=>{{1,4},{2,3},{5,8},{6,7}}
[2,1,4,3,5,7,8,6]=>[2,1,4,5,7,3,8,6]=>{{1,2},{3,4,5,7,8},{6}}=>{{1,2,4,5,6},{3},{7,8}}
[1,2,4,3,5,8,7,6]=>[8,4,1,2,7,3,5,6]=>{{1,8},{2,4},{3},{5,7},{6}}=>{{1,8},{2,4},{3},{5,7},{6}}
[1,2,4,3,5,7,8,6]=>[4,1,2,3,7,5,6,8]=>{{1,4},{2},{3},{5,7},{6},{8}}=>{{1},{2,4},{3},{5,8},{6},{7}}
[3,2,1,4,5,8,7,6]=>[3,2,1,4,5,8,7,6]=>{{1,3},{2},{4},{5},{6,8},{7}}=>{{1,3},{2},{4},{5},{6,8},{7}}
[1,3,2,4,5,8,7,6]=>[8,3,1,2,4,7,5,6]=>{{1,8},{2,3},{4},{5},{6,7}}=>{{1,8},{2,3},{4},{5},{6,7}}
[1,2,3,4,5,8,7,6]=>[8,7,1,2,3,4,5,6]=>{{1,8},{2,7},{3},{4},{5},{6}}=>{{1,8},{2,7},{3},{4},{5},{6}}
[1,2,3,4,5,7,8,6]=>[7,1,2,3,4,5,6,8]=>{{1,7},{2},{3},{4},{5},{6},{8}}=>{{1},{2,8},{3},{4},{5},{6},{7}}
[6,5,4,3,2,1,8,7]=>[6,5,8,7,4,3,2,1]=>{{1,6},{2,5},{3,8},{4,7}}=>{{1,6},{2,5},{3,8},{4,7}}
[4,5,6,3,2,1,8,7]=>[4,3,8,5,2,1,6,7]=>{{1,4,5},{2,3,8},{6},{7}}=>{{1,6,7},{2},{3},{4,5,8}}
[4,3,6,5,2,1,8,7]=>[4,3,6,5,2,1,8,7]=>{{1,4,5},{2,3,6},{7,8}}=>{{1,2},{3,6,7},{4,5,8}}
[4,3,2,6,5,1,8,7]=>[4,3,6,5,2,8,7,1]=>{{1,4,5},{2,3,6,8},{7}}=>{{1,3,6,7},{2},{4,5,8}}
[3,2,5,4,6,1,8,7]=>[3,2,5,4,6,1,8,7]=>{{1,3,5,6},{2},{4},{7,8}}=>{{1,2},{3,4,6,8},{5},{7}}
[4,3,2,5,6,1,8,7]=>[4,3,8,5,6,7,2,1]=>{{1,4,5,6,7},{2,3,8}}=>{{1,6,7},{2,3,4,5,8}}
[3,4,2,5,6,1,8,7]=>[3,2,8,4,5,6,1,7]=>{{1,3,8},{2},{4},{5},{6},{7}}=>{{1,6,8},{2},{3},{4},{5},{7}}
[2,3,4,5,6,1,8,7]=>[2,1,8,3,4,5,6,7]=>{{1,2},{3,8},{4},{5},{6},{7}}=>{{1,6},{2},{3},{4},{5},{7,8}}
[1,3,4,5,6,2,8,7]=>[3,1,8,2,4,5,6,7]=>{{1,3,8},{2},{4},{5},{6},{7}}=>{{1,6,8},{2},{3},{4},{5},{7}}
[2,1,6,5,4,3,8,7]=>[2,1,6,5,4,3,8,7]=>{{1,2},{3,6},{4,5},{7,8}}=>{{1,2},{3,6},{4,5},{7,8}}
[2,1,4,6,5,3,8,7]=>[2,1,6,4,3,5,8,7]=>{{1,2},{3,6},{4},{5},{7,8}}=>{{1,2},{3,6},{4},{5},{7,8}}
[2,1,5,4,6,3,8,7]=>[2,1,5,4,6,3,8,7]=>{{1,2},{3,5,6},{4},{7,8}}=>{{1,2},{3,4,6},{5},{7,8}}
[4,3,2,1,6,5,8,7]=>[4,3,6,5,8,7,2,1]=>{{1,4,5,8},{2,3,6,7}}=>{{1,4,5,8},{2,3,6,7}}
[3,4,2,1,6,5,8,7]=>[3,2,6,4,8,5,1,7]=>{{1,3,6},{2},{4},{5,8},{7}}=>{{1,4},{2},{3,6,8},{5},{7}}
[1,3,4,2,6,5,8,7]=>[3,1,6,2,8,4,5,7]=>{{1,3,6},{2},{4},{5,8},{7}}=>{{1,4},{2},{3,6,8},{5},{7}}
[2,1,4,3,6,5,8,7]=>[2,1,4,3,6,5,8,7]=>{{1,2},{3,4},{5,6},{7,8}}=>{{1,2},{3,4},{5,6},{7,8}}
[1,2,4,3,6,5,8,7]=>[4,1,6,2,8,3,5,7]=>{{1,4},{2},{3,6},{5,8},{7}}=>{{1,4},{2},{3,6},{5,8},{7}}
[2,3,1,4,6,5,8,7]=>[2,1,6,3,4,8,5,7]=>{{1,2},{3,6,8},{4},{5},{7}}=>{{1,3,6},{2},{4},{5},{7,8}}
[2,1,3,4,6,5,8,7]=>[2,1,6,3,4,5,8,7]=>{{1,2},{3,6},{4},{5},{7,8}}=>{{1,2},{3,6},{4},{5},{7,8}}
[1,2,3,4,6,5,8,7]=>[6,1,8,2,3,4,5,7]=>{{1,6},{2},{3,8},{4},{5},{7}}=>{{1,6},{2},{3,8},{4},{5},{7}}
[2,3,4,5,1,6,8,7]=>[2,1,3,8,4,5,6,7]=>{{1,2},{3},{4,8},{5},{6},{7}}=>{{1,5},{2},{3},{4},{6},{7,8}}
[1,2,3,5,4,6,8,7]=>[5,1,2,8,3,4,6,7]=>{{1,5},{2},{3},{4,8},{6},{7}}=>{{1,5},{2},{3},{4,8},{6},{7}}
[2,3,4,1,5,6,8,7]=>[2,1,3,4,8,5,6,7]=>{{1,2},{3},{4},{5,8},{6},{7}}=>{{1,4},{2},{3},{5},{6},{7,8}}
[1,3,4,2,5,6,8,7]=>[3,1,2,4,8,5,6,7]=>{{1,3},{2},{4},{5,8},{6},{7}}=>{{1,4},{2},{3},{5},{6,8},{7}}
[2,1,4,3,5,6,8,7]=>[2,1,4,5,6,3,8,7]=>{{1,2},{3,4,5,6},{7,8}}=>{{1,2},{3,4,5,6},{7,8}}
[1,2,4,3,5,6,8,7]=>[4,1,2,3,8,5,6,7]=>{{1,4},{2},{3},{5,8},{6},{7}}=>{{1,4},{2},{3},{5,8},{6},{7}}
[1,3,2,4,5,6,8,7]=>[3,1,2,4,5,8,6,7]=>{{1,3},{2},{4},{5},{6,8},{7}}=>{{1,3},{2},{4},{5},{6,8},{7}}
[2,1,3,4,5,6,8,7]=>[2,1,3,4,5,6,8,7]=>{{1,2},{3},{4},{5},{6},{7,8}}=>{{1,2},{3},{4},{5},{6},{7,8}}
[1,2,3,4,5,6,8,7]=>[8,1,2,3,4,5,6,7]=>{{1,8},{2},{3},{4},{5},{6},{7}}=>{{1,8},{2},{3},{4},{5},{6},{7}}
[5,7,6,4,3,2,1,8]=>[5,7,6,4,3,2,1,8]=>{{1,5},{2,7},{3,6},{4},{8}}=>{{1},{2,7},{3,6},{4,8},{5}}
[4,7,6,5,3,2,1,8]=>[4,7,6,5,3,2,1,8]=>{{1,4,5},{2,7},{3,6},{8}}=>{{1},{2,7},{3,6},{4,5,8}}
[5,4,7,6,3,2,1,8]=>[5,7,4,3,2,1,8,6]=>{{1,5},{2,7,8},{3,4},{6}}=>{{1,2,7},{3},{4,8},{5,6}}
[2,3,7,6,5,4,1,8]=>[2,7,6,5,3,1,4,8]=>{{1,2,7},{3,6},{4,5},{8}}=>{{1},{2,7,8},{3,6},{4,5}}
[3,2,4,6,7,5,1,8]=>[3,4,2,1,6,7,8,5]=>{{1,3},{2,4},{5,6,7,8}}=>{{1,2,3,4},{5,7},{6,8}}
[4,5,3,2,7,6,1,8]=>[4,5,3,2,7,6,1,8]=>{{1,4},{2,5,7},{3},{6},{8}}=>{{1},{2,4,7},{3},{5,8},{6}}
[3,5,4,2,7,6,1,8]=>[3,5,4,2,7,6,1,8]=>{{1,3,4},{2,5,7},{6},{8}}=>{{1},{2,4,7},{3},{5,6,8}}
[1,3,4,5,6,7,2,8]=>[1,3,2,4,5,6,7,8]=>{{1},{2,3},{4},{5},{6},{7},{8}}=>{{1},{2},{3},{4},{5},{6,7},{8}}
[2,1,5,6,7,4,3,8]=>[2,5,4,1,6,7,8,3]=>{{1,2,5,6,7,8},{3,4}}=>{{1,2,3,4,7,8},{5,6}}
[2,1,4,5,6,7,3,8]=>[2,4,1,5,6,7,8,3]=>{{1,2,4,5,6,7,8},{3}}=>{{1,2,3,4,5,7,8},{6}}
[1,2,7,6,5,4,3,8]=>[1,7,6,5,4,2,3,8]=>{{1},{2,7},{3,6},{4,5},{8}}=>{{1},{2,7},{3,6},{4,5},{8}}
[1,2,5,6,4,7,3,8]=>[1,5,2,4,3,6,7,8]=>{{1},{2,5},{3},{4},{6},{7},{8}}=>{{1},{2},{3},{4,7},{5},{6},{8}}
[1,2,4,6,5,7,3,8]=>[1,6,2,4,3,5,7,8]=>{{1},{2,6},{3},{4},{5},{7},{8}}=>{{1},{2},{3,7},{4},{5},{6},{8}}
[1,2,4,5,6,7,3,8]=>[1,4,2,3,5,6,7,8]=>{{1},{2,4},{3},{5},{6},{7},{8}}=>{{1},{2},{3},{4},{5,7},{6},{8}}
[2,3,1,5,6,7,4,8]=>[2,3,1,5,6,7,4,8]=>{{1,2,3},{4,5,6,7},{8}}=>{{1},{2,3,4,5},{6,7,8}}
[1,2,3,5,6,7,4,8]=>[1,5,2,3,4,6,7,8]=>{{1},{2,5},{3},{4},{6},{7},{8}}=>{{1},{2},{3},{4,7},{5},{6},{8}}
[4,3,2,1,7,6,5,8]=>[4,7,3,2,8,6,5,1]=>{{1,4},{2,7},{3},{5,8},{6}}=>{{1,4},{2,7},{3},{5,8},{6}}
[3,2,4,1,7,6,5,8]=>[3,4,2,1,7,6,8,5]=>{{1,3},{2,4},{5,7,8},{6}}=>{{1,2,4},{3},{5,7},{6,8}}
[3,2,4,1,6,7,5,8]=>[3,4,2,6,7,5,8,1]=>{{1,3},{2,4,6},{5,7,8}}=>{{1,2,4},{3,5,7},{6,8}}
[1,4,3,2,7,6,5,8]=>[1,4,3,2,7,6,5,8]=>{{1},{2,4},{3},{5,7},{6},{8}}=>{{1},{2,4},{3},{5,7},{6},{8}}
[3,2,1,4,7,6,5,8]=>[3,4,2,1,7,8,6,5]=>{{1,3},{2,4},{5,7},{6,8}}=>{{1,3},{2,4},{5,7},{6,8}}
[2,1,3,4,6,7,5,8]=>[2,3,1,4,6,7,8,5]=>{{1,2,3},{4},{5,6,7,8}}=>{{1,2,3,4},{5},{6,7,8}}
[1,2,3,4,6,7,5,8]=>[1,6,2,3,4,5,7,8]=>{{1},{2,6},{3},{4},{5},{7},{8}}=>{{1},{2},{3,7},{4},{5},{6},{8}}
[1,2,4,5,3,7,6,8]=>[1,4,2,7,3,5,6,8]=>{{1},{2,4,7},{3},{5},{6},{8}}=>{{1},{2,5,7},{3},{4},{6},{8}}
[3,2,1,5,4,7,6,8]=>[3,5,2,7,4,8,6,1]=>{{1,3},{2,5},{4,7},{6,8}}=>{{1,3},{2,5},{4,7},{6,8}}
[2,3,1,5,4,7,6,8]=>[2,3,1,5,4,7,6,8]=>{{1,2,3},{4,5},{6,7},{8}}=>{{1},{2,3},{4,5},{6,7,8}}
[1,3,2,5,4,7,6,8]=>[1,3,2,5,4,7,6,8]=>{{1},{2,3},{4,5},{6,7},{8}}=>{{1},{2,3},{4,5},{6,7},{8}}
[1,2,3,5,4,7,6,8]=>[1,5,2,7,3,4,6,8]=>{{1},{2,5},{3},{4,7},{6},{8}}=>{{1},{2,5},{3},{4,7},{6},{8}}
[1,2,4,3,5,7,6,8]=>[1,4,2,3,7,5,6,8]=>{{1},{2,4},{3},{5,7},{6},{8}}=>{{1},{2,4},{3},{5,7},{6},{8}}
[1,3,2,4,5,7,6,8]=>[1,3,2,4,5,7,6,8]=>{{1},{2,3},{4},{5},{6,7},{8}}=>{{1},{2,3},{4},{5},{6,7},{8}}
[2,1,3,4,5,7,6,8]=>[2,3,1,4,5,7,8,6]=>{{1,2,3},{4},{5},{6,7,8}}=>{{1,2,3},{4},{5},{6,7,8}}
[1,2,3,4,5,7,6,8]=>[1,7,2,3,4,5,6,8]=>{{1},{2,7},{3},{4},{5},{6},{8}}=>{{1},{2,7},{3},{4},{5},{6},{8}}
[3,2,1,6,5,4,7,8]=>[3,6,7,2,1,8,5,4]=>{{1,3,7},{2,6,8},{4},{5}}=>{{1,3,7},{2,6,8},{4},{5}}
[3,2,1,5,6,4,7,8]=>[3,5,6,2,7,8,4,1]=>{{1,3,6,8},{2,5,7},{4}}=>{{1,3,6,8},{2,4,7},{5}}
[1,3,2,5,6,4,7,8]=>[1,3,5,2,6,7,4,8]=>{{1},{2,3,5,6,7},{4},{8}}=>{{1},{2,3,4,6,7},{5},{8}}
[4,3,2,1,6,5,7,8]=>[4,6,7,3,8,5,2,1]=>{{1,4},{2,6},{3,7},{5,8}}=>{{1,4},{2,6},{3,7},{5,8}}
[2,3,4,1,6,5,7,8]=>[2,3,4,1,6,5,7,8]=>{{1,2,3,4},{5,6},{7},{8}}=>{{1},{2},{3,4},{5,6,7,8}}
[2,1,4,3,6,5,7,8]=>[2,4,6,1,7,3,8,5]=>{{1,2,4},{3,6},{5,7,8}}=>{{1,2,4},{3,6},{5,7,8}}
[1,2,4,3,6,5,7,8]=>[1,2,4,3,6,5,7,8]=>{{1},{2},{3,4},{5,6},{7},{8}}=>{{1},{2},{3,4},{5,6},{7},{8}}
[1,3,2,4,6,5,7,8]=>[1,3,4,2,6,7,5,8]=>{{1},{2,3,4},{5,6,7},{8}}=>{{1},{2,3,4},{5,6,7},{8}}
[2,1,3,4,6,5,7,8]=>[2,3,4,1,6,7,8,5]=>{{1,2,3,4},{5,6,7,8}}=>{{1,2,3,4},{5,6,7,8}}
[2,1,4,5,3,6,7,8]=>[2,4,5,6,1,7,8,3]=>{{1,2,4,6,7,8},{3,5}}=>{{1,2,3,5,7,8},{4,6}}
[1,3,2,5,4,6,7,8]=>[1,3,5,6,2,7,4,8]=>{{1},{2,3,5},{4,6,7},{8}}=>{{1},{2,3,5},{4,6,7},{8}}
[1,2,3,5,4,6,7,8]=>[1,2,3,5,4,6,7,8]=>{{1},{2},{3},{4,5},{6},{7},{8}}=>{{1},{2},{3},{4,5},{6},{7},{8}}
[2,1,4,3,5,6,7,8]=>[2,4,5,6,7,1,8,3]=>{{1,2,4,6},{3,5,7,8}}=>{{1,2,4,6},{3,5,7,8}}
[1,2,3,7,5,6,4,8]=>[1,7,2,5,3,4,6,8]=>{{1},{2,7},{3},{4,5},{6},{8}}=>{{1},{2,7},{3},{4,5},{6},{8}}
[1,2,3,8,5,7,6,4]=>[8,7,1,5,2,3,4,6]=>{{1,8},{2,7},{3},{4,5},{6}}=>{{1,8},{2,7},{3},{4,5},{6}}
[1,2,5,4,8,6,7,3]=>[5,1,4,2,8,3,6,7]=>{{1,5,8},{2},{3,4},{6},{7}}=>{{1,4,8},{2},{3},{5,6},{7}}
[1,2,8,4,7,6,5,3]=>[8,7,6,1,4,2,3,5]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[1,3,2,8,6,5,7,4]=>[8,1,6,3,2,5,4,7]=>{{1,8},{2},{3,6},{4},{5},{7}}=>{{1,8},{2},{3,6},{4},{5},{7}}
[1,4,3,8,6,5,7,2]=>[8,1,4,3,2,6,5,7]=>{{1,8},{2},{3,4},{5},{6},{7}}=>{{1,8},{2},{3},{4},{5,6},{7}}
[1,5,3,4,2,8,7,6]=>[5,3,1,8,2,7,4,6]=>{{1,5},{2,3},{4,8},{6,7}}=>{{1,5},{2,3},{4,8},{6,7}}
[1,5,3,4,8,6,7,2]=>[5,1,3,2,4,8,6,7]=>{{1,5},{2},{3},{4},{6,8},{7}}=>{{1,3},{2},{4,8},{5},{6},{7}}
[1,8,3,7,6,5,4,2]=>[8,7,6,5,1,3,2,4]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,8},{2,7},{3,6},{4,5}}
[1,8,4,3,5,6,7,2]=>[8,1,4,5,6,3,2,7]=>{{1,8},{2},{3,4,5,6},{7}}=>{{1,8},{2},{3,4,5,6},{7}}
[1,8,4,7,6,5,3,2]=>[8,7,6,4,1,3,2,5]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[1,8,5,4,3,6,7,2]=>[8,1,5,6,4,3,2,7]=>{{1,8},{2},{3,5},{4,6},{7}}=>{{1,8},{2},{3,5},{4,6},{7}}
[1,8,6,4,5,7,3,2]=>[8,6,1,4,5,3,2,7]=>{{1,8},{2,6},{3},{4},{5},{7}}=>{{1,8},{2},{3,7},{4},{5},{6}}
[1,8,7,4,5,6,3,2]=>[8,7,1,4,5,3,2,6]=>{{1,8},{2,7},{3},{4},{5},{6}}=>{{1,8},{2,7},{3},{4},{5},{6}}
[1,8,7,4,6,5,3,2]=>[8,7,6,1,4,3,2,5]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[2,1,3,8,5,6,7,4]=>[8,2,3,5,1,6,7,4]=>{{1,8},{2},{3},{4,5},{6},{7}}=>{{1,8},{2},{3},{4,5},{6},{7}}
[2,1,5,4,8,6,7,3]=>[5,2,4,1,6,3,8,7]=>{{1,5,6},{2},{3,4},{7,8}}=>{{1,2},{3,4,8},{5,6},{7}}
[2,1,6,4,5,3,8,7]=>[2,1,6,4,5,3,8,7]=>{{1,2},{3,6},{4},{5},{7,8}}=>{{1,2},{3,6},{4},{5},{7,8}}
[2,1,7,4,6,5,8,3]=>[7,2,6,4,5,1,8,3]=>{{1,7,8},{2},{3,6},{4},{5}}=>{{1,2,8},{3,6},{4},{5},{7}}
[2,1,8,5,4,7,6,3]=>[8,2,1,5,4,3,7,6]=>{{1,8},{2},{3},{4,5},{6},{7}}=>{{1,8},{2},{3},{4,5},{6},{7}}
[2,1,8,5,6,7,4,3]=>[8,5,2,4,6,1,7,3]=>{{1,8},{2,5,6},{3},{4},{7}}=>{{1,8},{2},{3,4,7},{5},{6}}
[2,3,1,5,8,6,7,4]=>[8,2,3,1,5,6,4,7]=>{{1,8},{2},{3},{4},{5},{6},{7}}=>{{1,8},{2},{3},{4},{5},{6},{7}}
[2,3,4,5,8,6,7,1]=>[8,2,3,1,4,5,6,7]=>{{1,8},{2},{3},{4},{5},{6},{7}}=>{{1,8},{2},{3},{4},{5},{6},{7}}
[2,3,4,8,5,6,7,1]=>[8,2,3,4,1,5,6,7]=>{{1,8},{2},{3},{4},{5},{6},{7}}=>{{1,8},{2},{3},{4},{5},{6},{7}}
[2,3,7,5,4,6,8,1]=>[7,2,3,5,4,1,6,8]=>{{1,7},{2},{3},{4,5},{6},{8}}=>{{1},{2,8},{3},{4,5},{6},{7}}
[2,8,3,7,6,5,4,1]=>[8,7,6,5,2,3,1,4]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,8},{2,7},{3,6},{4,5}}
[2,6,4,3,5,1,8,7]=>[6,2,8,4,5,3,1,7]=>{{1,6},{2},{3,8},{4},{5},{7}}=>{{1,6},{2},{3,8},{4},{5},{7}}
[2,8,4,3,5,6,7,1]=>[8,2,4,5,6,3,1,7]=>{{1,8},{2},{3,4,5,6},{7}}=>{{1,8},{2},{3,4,5,6},{7}}
[2,8,4,3,5,7,6,1]=>[8,4,2,3,7,5,1,6]=>{{1,8},{2,4},{3},{5,7},{6}}=>{{1,8},{2,4},{3},{5,7},{6}}
[2,8,4,3,7,6,5,1]=>[8,7,4,2,6,3,1,5]=>{{1,8},{2,7},{3,4},{5,6}}=>{{1,8},{2,7},{3,4},{5,6}}
[2,8,4,7,6,5,3,1]=>[8,7,6,4,2,3,1,5]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[2,8,5,4,3,7,6,1]=>[8,5,2,7,4,3,1,6]=>{{1,8},{2,5},{3},{4,7},{6}}=>{{1,8},{2,5},{3},{4,7},{6}}
[2,8,7,4,5,6,3,1]=>[8,7,2,4,5,3,1,6]=>{{1,8},{2,7},{3},{4},{5},{6}}=>{{1,8},{2,7},{3},{4},{5},{6}}
[2,8,7,4,6,5,3,1]=>[8,7,6,2,4,3,1,5]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[3,2,1,4,8,6,7,5]=>[3,2,4,1,6,8,7,5]=>{{1,3,4},{2},{5,6,8},{7}}=>{{1,3,4},{2},{5,6,8},{7}}
[3,2,1,5,8,6,7,4]=>[3,2,5,1,6,8,7,4]=>{{1,3,5,6,8},{2},{4},{7}}=>{{1,3,4,6,8},{2},{5},{7}}
[3,2,1,8,5,6,7,4]=>[3,2,5,6,1,8,7,4]=>{{1,3,5},{2},{4,6,8},{7}}=>{{1,3,5},{2},{4,6,8},{7}}
[3,2,1,8,5,7,6,4]=>[8,3,2,5,1,7,6,4]=>{{1,8},{2,3},{4,5},{6,7}}=>{{1,8},{2,3},{4,5},{6,7}}
[3,2,4,1,8,6,7,5]=>[3,2,4,1,8,6,7,5]=>{{1,3,4},{2},{5,8},{6},{7}}=>{{1,4},{2},{3},{5,6,8},{7}}
[3,2,4,5,8,6,7,1]=>[3,2,4,1,5,6,8,7]=>{{1,3,4},{2},{5},{6},{7,8}}=>{{1,2},{3},{4},{5,6,8},{7}}
[3,2,5,4,8,6,7,1]=>[3,2,5,1,6,4,8,7]=>{{1,3,5,6},{2},{4},{7,8}}=>{{1,2},{3,4,6,8},{5},{7}}
[3,2,8,5,6,4,7,1]=>[8,3,5,2,6,1,7,4]=>{{1,8},{2,3,5,6},{4},{7}}=>{{1,8},{2},{3,4,6,7},{5}}
[4,2,3,1,7,6,8,5]=>[4,2,3,1,7,6,8,5]=>{{1,4},{2},{3},{5,7,8},{6}}=>{{1,2,4},{3},{5,8},{6},{7}}
[4,2,3,1,8,6,7,5]=>[4,2,3,1,8,6,7,5]=>{{1,4},{2},{3},{5,8},{6},{7}}=>{{1,4},{2},{3},{5,8},{6},{7}}
[4,2,3,1,8,7,6,5]=>[8,4,2,1,7,3,6,5]=>{{1,8},{2,4},{3},{5,7},{6}}=>{{1,8},{2,4},{3},{5,7},{6}}
[4,2,3,6,5,8,7,1]=>[4,2,1,6,3,5,8,7]=>{{1,4,6},{2},{3},{5},{7,8}}=>{{1,2},{3,5,8},{4},{6},{7}}
[5,2,3,4,1,6,8,7]=>[5,2,3,8,4,6,7,1]=>{{1,5},{2},{3},{4,8},{6},{7}}=>{{1,5},{2},{3},{4,8},{6},{7}}
[5,2,3,4,1,8,7,6]=>[5,2,1,8,3,4,7,6]=>{{1,5},{2},{3},{4,8},{6},{7}}=>{{1,5},{2},{3},{4,8},{6},{7}}
[7,2,3,4,6,5,1,8]=>[2,7,6,3,4,5,8,1]=>{{1,2,7,8},{3,6},{4},{5}}=>{{1,2,7,8},{3,6},{4},{5}}
[7,2,3,6,5,4,1,8]=>[2,7,6,5,3,4,8,1]=>{{1,2,7,8},{3,6},{4,5}}=>{{1,2,7,8},{3,6},{4,5}}
[8,2,3,7,6,5,4,1]=>[8,7,6,5,2,3,4,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,2,4,3,1,7,6,8]=>[2,5,4,7,6,3,8,1]=>{{1,2,5,6},{3,4,7,8}}=>{{1,2,5,6},{3,4,7,8}}
[5,2,4,3,1,8,7,6]=>[5,4,2,8,7,3,6,1]=>{{1,5,7},{2,4,8},{3},{6}}=>{{1,5,7},{2,4,8},{3},{6}}
[5,2,4,3,6,7,1,8]=>[2,5,4,6,7,3,8,1]=>{{1,2,5,7,8},{3,4,6}}=>{{1,2,4,7,8},{3,5,6}}
[5,2,4,3,7,6,1,8]=>[2,5,4,3,7,6,8,1]=>{{1,2,5,7,8},{3,4},{6}}=>{{1,2,4,7,8},{3},{5,6}}
[5,2,4,3,7,6,8,1]=>[5,2,4,3,7,6,8,1]=>{{1,5,7,8},{2},{3,4},{6}}=>{{1,2,4,8},{3},{5,6},{7}}
[7,2,4,3,6,5,8,1]=>[7,2,4,3,6,5,8,1]=>{{1,7,8},{2},{3,4},{5,6}}=>{{1,2,8},{3,4},{5,6},{7}}
[8,2,4,3,7,6,5,1]=>[8,7,4,2,6,3,5,1]=>{{1,8},{2,7},{3,4},{5,6}}=>{{1,8},{2,7},{3,4},{5,6}}
[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,2,3,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,8},{2,7},{3,6},{4,5}}
[4,3,2,1,8,6,7,5]=>[4,3,6,2,8,7,5,1]=>{{1,4},{2,3,6,7},{5,8}}=>{{1,4},{2,3,6,7},{5,8}}
[4,3,2,8,5,7,6,1]=>[4,3,2,5,1,8,7,6]=>{{1,4,5},{2,3},{6,8},{7}}=>{{1,3},{2},{4,5,8},{6,7}}
[6,3,2,5,4,1,8,7]=>[3,2,6,5,4,8,7,1]=>{{1,3,6,8},{2},{4,5},{7}}=>{{1,3,6,8},{2},{4,5},{7}}
[6,3,2,5,4,7,8,1]=>[6,3,5,7,2,8,4,1]=>{{1,6,8},{2,3,5},{4,7}}=>{{1,3,8},{2,5},{4,6,7}}
[8,3,2,5,4,7,6,1]=>[8,3,2,5,4,7,6,1]=>{{1,8},{2,3},{4,5},{6,7}}=>{{1,8},{2,3},{4,5},{6,7}}
[8,3,2,7,6,5,4,1]=>[8,7,6,3,2,5,4,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[6,3,4,5,2,1,8,7]=>[6,3,8,4,2,5,7,1]=>{{1,6},{2,3,8},{4},{5},{7}}=>{{1,6,7},{2},{3,8},{4},{5}}
[7,3,6,4,5,2,1,8]=>[3,7,6,4,5,2,8,1]=>{{1,3,6},{2,7,8},{4},{5}}=>{{1,2,7},{3,6,8},{4},{5}}
[8,3,7,6,5,4,2,1]=>[8,7,6,5,3,2,4,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,4,3,2,5,8,7,1]=>[6,4,3,5,8,7,2,1]=>{{1,6,7},{2,4,5,8},{3}}=>{{1,4,5,7},{2,3,8},{6}}
[8,7,3,6,5,4,2,1]=>[8,7,6,5,3,4,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,5,4,3,2,7,6,1]=>[8,5,4,7,6,3,2,1]=>{{1,8},{2,5,6},{3,4,7}}=>{{1,8},{2,5,6},{3,4,7}}
[8,7,4,3,6,5,2,1]=>[8,7,4,3,6,5,2,1]=>{{1,8},{2,7},{3,4},{5,6}}=>{{1,8},{2,7},{3,4},{5,6}}
[2,4,1,3,6,5,8,7]=>[2,1,4,3,6,8,5,7]=>{{1,2},{3,4},{5,6,8},{7}}=>{{1,3,4},{2},{5,6},{7,8}}
[2,1,4,6,3,5,8,7]=>[2,1,4,6,3,5,8,7]=>{{1,2},{3,4,6},{5},{7,8}}=>{{1,2},{3,5,6},{4},{7,8}}
[2,4,1,6,3,5,8,7]=>[2,1,4,6,3,8,5,7]=>{{1,2},{3,4,6,8},{5},{7}}=>{{1,3,5,6},{2},{4},{7,8}}
[2,4,6,1,3,5,8,7]=>[2,1,4,6,8,3,5,7]=>{{1,2},{3,4,6},{5,8},{7}}=>{{1,4},{2},{3,5,6},{7,8}}
[2,1,4,3,6,8,5,7]=>[2,4,1,3,6,5,8,7]=>{{1,2,4},{3},{5,6},{7,8}}=>{{1,2},{3,4},{5,7,8},{6}}
[2,4,1,3,6,8,5,7]=>[2,4,1,3,6,8,5,7]=>{{1,2,4},{3},{5,6,8},{7}}=>{{1,3,4},{2},{5,7,8},{6}}
[2,1,4,6,3,8,5,7]=>[2,4,1,6,3,5,8,7]=>{{1,2,4,6},{3},{5},{7,8}}=>{{1,2},{3,5,7,8},{4},{6}}
[2,4,1,6,3,8,5,7]=>[2,4,1,6,3,8,5,7]=>{{1,2,4,6,8},{3},{5},{7}}=>{{1,3,5,7,8},{2},{4},{6}}
[2,4,6,1,3,8,5,7]=>[2,4,1,6,8,3,5,7]=>{{1,2,4,6},{3},{5,8},{7}}=>{{1,4},{2},{3,5,7,8},{6}}
[2,1,4,6,8,3,5,7]=>[2,4,6,1,3,5,8,7]=>{{1,2,4},{3,6},{5},{7,8}}=>{{1,2},{3,6},{4},{5,7,8}}
[2,4,1,6,8,3,5,7]=>[2,4,6,1,3,8,5,7]=>{{1,2,4},{3,6,8},{5},{7}}=>{{1,3,6},{2},{4},{5,7,8}}
[2,4,6,1,8,3,5,7]=>[2,4,6,1,8,3,5,7]=>{{1,2,4},{3,6},{5,8},{7}}=>{{1,4},{2},{3,6},{5,7,8}}
[2,4,6,8,1,3,5,7]=>[2,4,6,8,1,3,5,7]=>{{1,2,4,8},{3,6},{5},{7}}=>{{1,5,7,8},{2},{3,6},{4}}
[2,4,1,6,3,5,7,8]=>[2,4,6,7,1,8,3,5]=>{{1,2,4,7},{3,6,8},{5}}=>{{1,3,6},{2,5,7,8},{4}}
[2,1,4,6,3,7,5,8]=>[2,4,1,6,3,7,8,5]=>{{1,2,4,6,7,8},{3},{5}}=>{{1,2,3,5,7,8},{4},{6}}
[2,4,1,6,3,7,5,8]=>[2,4,1,6,3,7,5,8]=>{{1,2,4,6,7},{3},{5},{8}}=>{{1},{2,3,5,7,8},{4},{6}}
[2,1,4,6,7,3,8,5]=>[2,1,4,3,6,7,8,5]=>{{1,2},{3,4},{5,6,7,8}}=>{{1,2,3,4},{5,6},{7,8}}
[2,1,4,6,7,8,3,5]=>[2,4,1,3,6,7,8,5]=>{{1,2,4},{3},{5,6,7,8}}=>{{1,2,3,4},{5,7,8},{6}}
[2,1,4,3,7,5,8,6]=>[2,1,4,3,7,5,8,6]=>{{1,2},{3,4},{5,7,8},{6}}=>{{1,2,4},{3},{5,6},{7,8}}
[2,4,1,3,7,5,8,6]=>[2,1,4,3,7,8,5,6]=>{{1,2},{3,4},{5,7},{6,8}}=>{{1,3},{2,4},{5,6},{7,8}}
[2,1,4,3,7,8,5,6]=>[2,4,1,3,7,5,8,6]=>{{1,2,4},{3},{5,7,8},{6}}=>{{1,2,4},{3},{5,7,8},{6}}
[2,4,1,3,7,8,5,6]=>[2,4,1,3,7,8,5,6]=>{{1,2,4},{3},{5,7},{6,8}}=>{{1,3},{2,4},{5,7,8},{6}}
[2,1,4,7,8,3,5,6]=>[2,4,7,1,3,5,8,6]=>{{1,2,4},{3,7,8},{5},{6}}=>{{1,2,6},{3},{4},{5,7,8}}
[2,4,1,7,8,3,5,6]=>[2,4,7,1,3,8,5,6]=>{{1,2,4},{3,7},{5},{6,8}}=>{{1,3},{2,6},{4},{5,7,8}}
[2,4,7,8,1,3,5,6]=>[2,4,7,8,1,3,5,6]=>{{1,2,4,8},{3,7},{5},{6}}=>{{1,5,7,8},{2,6},{3},{4}}
[2,4,1,5,3,7,6,8]=>[2,4,1,5,3,7,6,8]=>{{1,2,4,5},{3},{6,7},{8}}=>{{1},{2,3},{4,5,7,8},{6}}
[2,1,4,3,5,8,6,7]=>[2,4,1,5,6,3,8,7]=>{{1,2,4,5,6},{3},{7,8}}=>{{1,2},{3,4,5,7,8},{6}}
[2,4,1,5,3,8,6,7]=>[2,4,1,5,3,8,6,7]=>{{1,2,4,5},{3},{6,8},{7}}=>{{1,3},{2},{4,5,7,8},{6}}
[2,4,5,1,8,3,6,7]=>[2,4,5,1,8,3,6,7]=>{{1,2,4},{3,5,8},{6},{7}}=>{{1,4,6},{2},{3},{5,7,8}}
[2,4,5,1,6,3,8,7]=>[2,1,4,3,8,5,6,7]=>{{1,2},{3,4},{5,8},{6},{7}}=>{{1,4},{2},{3},{5,6},{7,8}}
[2,4,5,1,6,8,3,7]=>[2,4,1,3,8,5,6,7]=>{{1,2,4},{3},{5,8},{6},{7}}=>{{1,4},{2},{3},{5,7,8},{6}}
[2,4,1,3,5,6,7,8]=>[2,4,5,6,7,8,1,3]=>{{1,2,4,6,8},{3,5,7}}=>{{1,3,5,7,8},{2,4,6}}
[2,4,5,1,6,7,3,8]=>[2,4,1,5,6,3,7,8]=>{{1,2,4,5,6},{3},{7},{8}}=>{{1},{2},{3,4,5,7,8},{6}}
[2,4,5,6,1,7,3,8]=>[2,4,1,5,3,6,7,8]=>{{1,2,4,5},{3},{6},{7},{8}}=>{{1},{2},{3},{4,5,7,8},{6}}
[2,1,5,3,6,4,8,7]=>[2,1,5,3,6,4,8,7]=>{{1,2},{3,5,6},{4},{7,8}}=>{{1,2},{3,4,6},{5},{7,8}}
[2,1,5,6,3,4,8,7]=>[2,1,5,6,3,4,8,7]=>{{1,2},{3,5},{4,6},{7,8}}=>{{1,2},{3,5},{4,6},{7,8}}
[2,5,6,8,1,3,4,7]=>[2,5,6,8,1,3,4,7]=>{{1,2,5},{3,6},{4,8},{7}}=>{{1,5},{2},{3,6},{4,7,8}}
[2,5,1,3,6,4,7,8]=>[2,5,6,1,7,8,3,4]=>{{1,2,5,7},{3,6,8},{4}}=>{{1,3,6},{2,4,7,8},{5}}
[2,1,5,3,6,7,4,8]=>[2,5,1,6,7,3,8,4]=>{{1,2,5,7,8},{3},{4,6}}=>{{1,2,4,7,8},{3,5},{6}}
[2,5,6,1,3,7,4,8]=>[2,5,1,6,7,3,4,8]=>{{1,2,5,7},{3},{4,6},{8}}=>{{1},{2,4,7,8},{3,5},{6}}
[2,5,1,3,6,7,8,4]=>[2,1,5,6,7,8,3,4]=>{{1,2},{3,5,7},{4,6,8}}=>{{1,3,5},{2,4,6},{7,8}}
[2,1,5,3,7,4,8,6]=>[2,1,5,3,7,4,8,6]=>{{1,2},{3,5,7,8},{4},{6}}=>{{1,2,4,6},{3},{5},{7,8}}
[2,5,1,7,3,4,8,6]=>[2,1,5,7,3,8,4,6]=>{{1,2},{3,5},{4,7},{6,8}}=>{{1,3},{2,5},{4,6},{7,8}}
[2,5,7,1,3,4,8,6]=>[2,1,5,7,8,3,4,6]=>{{1,2},{3,5,8},{4,7},{6}}=>{{1,4,6},{2,5},{3},{7,8}}
[2,5,1,3,7,8,4,6]=>[2,5,1,3,7,8,4,6]=>{{1,2,5,7},{3},{4},{6,8}}=>{{1,3},{2,4,7,8},{5},{6}}
[2,1,5,7,3,8,4,6]=>[2,5,1,7,3,4,8,6]=>{{1,2,5},{3},{4,7,8},{6}}=>{{1,2,5},{3},{4,7,8},{6}}
[2,5,7,1,8,3,4,6]=>[2,5,7,1,8,3,4,6]=>{{1,2,5,8},{3,7},{4},{6}}=>{{1,4,7,8},{2,6},{3},{5}}
[2,5,7,8,1,3,4,6]=>[2,5,7,8,1,3,4,6]=>{{1,2,5},{3,7},{4,8},{6}}=>{{1,5},{2,6},{3},{4,7,8}}
[2,5,1,3,4,6,7,8]=>[2,3,5,6,7,8,1,4]=>{{1,2,3,5,7},{4,6,8}}=>{{1,3,5},{2,4,6,7,8}}
[2,3,5,1,6,4,7,8]=>[2,3,5,1,6,4,7,8]=>{{1,2,3,5,6},{4},{7},{8}}=>{{1},{2},{3,4,6,7,8},{5}}
[2,1,6,3,7,4,8,5]=>[2,1,6,3,7,4,8,5]=>{{1,2},{3,6},{4},{5,7,8}}=>{{1,2,4},{3,6},{5},{7,8}}
[2,6,1,3,7,4,8,5]=>[2,1,6,3,7,8,4,5]=>{{1,2},{3,6,8},{4},{5,7}}=>{{1,3,6},{2,4},{5},{7,8}}
[2,6,7,1,3,4,8,5]=>[2,1,6,7,8,3,4,5]=>{{1,2},{3,6},{4,7},{5,8}}=>{{1,4},{2,5},{3,6},{7,8}}
[2,1,6,3,7,8,4,5]=>[2,6,1,3,7,4,8,5]=>{{1,2,6},{3},{4},{5,7,8}}=>{{1,2,4},{3,7,8},{5},{6}}
[2,6,1,7,3,8,4,5]=>[2,6,1,7,3,8,4,5]=>{{1,2,6,8},{3},{4,7},{5}}=>{{1,3,7,8},{2,5},{4},{6}}
[2,1,6,7,8,3,4,5]=>[2,6,7,1,3,4,8,5]=>{{1,2,6},{3,7,8},{4},{5}}=>{{1,2,6},{3,7,8},{4},{5}}
[2,6,7,8,1,3,4,5]=>[2,6,7,8,1,3,4,5]=>{{1,2,6},{3,7},{4,8},{5}}=>{{1,5},{2,6},{3,7,8},{4}}
[2,6,1,3,4,7,5,8]=>[2,3,1,6,7,8,4,5]=>{{1,2,3},{4,6,8},{5,7}}=>{{1,3,5},{2,4},{6,7,8}}
[2,3,1,6,4,7,5,8]=>[2,3,1,6,4,7,5,8]=>{{1,2,3},{4,6,7},{5},{8}}=>{{1},{2,3,5},{4},{6,7,8}}
[2,6,1,3,4,7,8,5]=>[2,1,3,6,7,8,4,5]=>{{1,2},{3},{4,6,8},{5,7}}=>{{1,3,5},{2,4},{6},{7,8}}
[2,1,3,6,7,4,8,5]=>[2,1,6,3,4,7,8,5]=>{{1,2},{3,6,7,8},{4},{5}}=>{{1,2,3,6},{4},{5},{7,8}}
[2,1,6,3,8,4,5,7]=>[2,3,4,1,6,5,8,7]=>{{1,2,3,4},{5,6},{7,8}}=>{{1,2},{3,4},{5,6,7,8}}
[2,6,1,3,8,4,5,7]=>[2,3,4,1,6,8,5,7]=>{{1,2,3,4},{5,6,8},{7}}=>{{1,3,4},{2},{5,6,7,8}}
[2,3,1,6,4,8,5,7]=>[2,3,1,6,4,8,5,7]=>{{1,2,3},{4,6,8},{5},{7}}=>{{1,3,5},{2},{4},{6,7,8}}
[2,3,6,1,4,8,5,7]=>[2,3,1,6,8,4,5,7]=>{{1,2,3},{4,6},{5,8},{7}}=>{{1,4},{2},{3,5},{6,7,8}}
[2,3,6,1,8,4,5,7]=>[2,3,6,1,8,4,5,7]=>{{1,2,3,6},{4},{5,8},{7}}=>{{1,4},{2},{3,6,7,8},{5}}
[2,6,1,3,4,5,7,8]=>[2,3,4,6,7,8,1,5]=>{{1,2,3,4,6,8},{5,7}}=>{{1,3,5,6,7,8},{2,4}}
[2,3,1,6,4,5,7,8]=>[2,3,4,6,1,7,5,8]=>{{1,2,3,4,6,7},{5},{8}}=>{{1},{2,3,5,6,7,8},{4}}
[2,3,4,6,7,8,1,5]=>[2,6,1,3,4,5,7,8]=>{{1,2,6},{3},{4},{5},{7},{8}}=>{{1},{2},{3,7,8},{4},{5},{6}}
[2,1,7,3,8,4,5,6]=>[2,3,4,1,7,5,8,6]=>{{1,2,3,4},{5,7,8},{6}}=>{{1,2,4},{3},{5,6,7,8}}
[2,7,1,3,8,4,5,6]=>[2,3,4,1,7,8,5,6]=>{{1,2,3,4},{5,7},{6,8}}=>{{1,3},{2,4},{5,6,7,8}}
[2,7,1,8,3,4,5,6]=>[2,3,4,7,1,8,5,6]=>{{1,2,3,4,7},{5},{6,8}}=>{{1,3},{2,5,6,7,8},{4}}
[2,3,1,7,4,8,5,6]=>[2,3,1,7,4,8,5,6]=>{{1,2,3},{4,7},{5},{6,8}}=>{{1,3},{2,5},{4},{6,7,8}}
[2,3,1,7,8,4,5,6]=>[2,3,7,1,4,8,5,6]=>{{1,2,3,7},{4},{5},{6,8}}=>{{1,3},{2,6,7,8},{4},{5}}
[2,3,7,8,1,4,5,6]=>[2,3,7,8,1,4,5,6]=>{{1,2,3,7},{4,8},{5},{6}}=>{{1,5},{2,6,7,8},{3},{4}}
[2,3,4,7,1,5,8,6]=>[2,1,7,8,3,4,5,6]=>{{1,2},{3,7},{4,8},{5},{6}}=>{{1,5},{2,6},{3},{4},{7,8}}
[2,3,4,7,1,8,5,6]=>[2,7,1,8,3,4,5,6]=>{{1,2,7},{3},{4,8},{5},{6}}=>{{1,5},{2,7,8},{3},{4},{6}}
[2,3,4,7,8,1,5,6]=>[2,7,8,1,3,4,5,6]=>{{1,2,7},{3,8},{4},{5},{6}}=>{{1,6},{2,7,8},{3},{4},{5}}
[2,1,7,3,4,5,6,8]=>[2,3,4,5,7,1,8,6]=>{{1,2,3,4,5,7,8},{6}}=>{{1,2,4,5,6,7,8},{3}}
[2,7,1,3,4,5,6,8]=>[2,3,4,5,7,8,1,6]=>{{1,2,3,4,5,7},{6,8}}=>{{1,3},{2,4,5,6,7,8}}
[2,1,3,4,7,5,6,8]=>[2,3,4,1,5,7,8,6]=>{{1,2,3,4},{5},{6,7,8}}=>{{1,2,3},{4},{5,6,7,8}}
[2,3,1,4,7,5,6,8]=>[2,3,4,1,5,7,6,8]=>{{1,2,3,4},{5},{6,7},{8}}=>{{1},{2,3},{4},{5,6,7,8}}
[2,3,4,1,7,5,6,8]=>[2,3,4,1,7,5,6,8]=>{{1,2,3,4},{5,7},{6},{8}}=>{{1},{2,4},{3},{5,6,7,8}}
[2,3,4,5,7,8,1,6]=>[2,7,1,3,4,5,6,8]=>{{1,2,7},{3},{4},{5},{6},{8}}=>{{1},{2,7,8},{3},{4},{5},{6}}
[2,1,8,3,4,5,6,7]=>[2,3,4,5,6,1,8,7]=>{{1,2,3,4,5,6},{7,8}}=>{{1,2},{3,4,5,6,7,8}}
[2,8,1,3,4,5,6,7]=>[2,3,4,5,6,8,1,7]=>{{1,2,3,4,5,6,8},{7}}=>{{1,3,4,5,6,7,8},{2}}
[2,3,1,8,4,5,6,7]=>[2,3,4,5,1,8,6,7]=>{{1,2,3,4,5},{6,8},{7}}=>{{1,3},{2},{4,5,6,7,8}}
[2,3,8,1,4,5,6,7]=>[2,3,4,5,8,1,6,7]=>{{1,2,3,4,5,8},{6},{7}}=>{{1,4,5,6,7,8},{2},{3}}
[2,1,3,4,8,5,6,7]=>[2,3,4,1,5,6,8,7]=>{{1,2,3,4},{5},{6},{7,8}}=>{{1,2},{3},{4},{5,6,7,8}}
[2,3,1,4,8,5,6,7]=>[2,3,4,1,5,8,6,7]=>{{1,2,3,4},{5},{6,8},{7}}=>{{1,3},{2},{4},{5,6,7,8}}
[2,3,4,1,8,5,6,7]=>[2,3,4,1,8,5,6,7]=>{{1,2,3,4},{5,8},{6},{7}}=>{{1,4},{2},{3},{5,6,7,8}}
[2,3,4,8,1,5,6,7]=>[2,3,4,8,1,5,6,7]=>{{1,2,3,4,8},{5},{6},{7}}=>{{1,5,6,7,8},{2},{3},{4}}
[2,3,4,1,5,8,6,7]=>[2,3,1,4,8,5,6,7]=>{{1,2,3},{4},{5,8},{6},{7}}=>{{1,4},{2},{3},{5},{6,7,8}}
[2,3,4,5,6,8,1,7]=>[2,8,1,3,4,5,6,7]=>{{1,2,8},{3},{4},{5},{6},{7}}=>{{1,7,8},{2},{3},{4},{5},{6}}
[3,1,4,2,6,5,8,7]=>[3,1,4,2,6,5,8,7]=>{{1,3,4},{2},{5,6},{7,8}}=>{{1,2},{3,4},{5,6,8},{7}}
[3,4,1,2,6,5,8,7]=>[3,1,4,2,6,8,5,7]=>{{1,3,4},{2},{5,6,8},{7}}=>{{1,3,4},{2},{5,6,8},{7}}
[3,4,6,1,2,5,8,7]=>[3,1,4,6,8,2,5,7]=>{{1,3,4,6},{2},{5,8},{7}}=>{{1,4},{2},{3,5,6,8},{7}}
[3,1,4,2,6,8,5,7]=>[3,4,1,2,6,5,8,7]=>{{1,3},{2,4},{5,6},{7,8}}=>{{1,2},{3,4},{5,7},{6,8}}
[3,4,1,2,6,8,5,7]=>[3,4,1,2,6,8,5,7]=>{{1,3},{2,4},{5,6,8},{7}}=>{{1,3,4},{2},{5,7},{6,8}}
[3,4,6,8,1,2,5,7]=>[3,4,6,8,1,2,5,7]=>{{1,3,6},{2,4,8},{5},{7}}=>{{1,5,7},{2},{3,6,8},{4}}
[3,1,4,2,6,5,7,8]=>[3,4,6,1,7,2,8,5]=>{{1,3,6},{2,4},{5,7,8}}=>{{1,2,4},{3,6,8},{5,7}}
[3,4,1,2,6,5,7,8]=>[3,4,6,1,7,8,2,5]=>{{1,3,6,8},{2,4},{5,7}}=>{{1,3,6,8},{2,4},{5,7}}
[3,4,1,6,7,2,5,8]=>[3,4,6,1,2,7,5,8]=>{{1,3,6,7},{2,4},{5},{8}}=>{{1},{2,3,6,8},{4},{5,7}}
[3,4,6,7,1,2,5,8]=>[3,4,6,7,1,2,5,8]=>{{1,3,6},{2,4,7},{5},{8}}=>{{1},{2,5,7},{3,6,8},{4}}
[3,1,4,6,7,2,8,5]=>[3,1,4,2,6,7,8,5]=>{{1,3,4},{2},{5,6,7,8}}=>{{1,2,3,4},{5,6,8},{7}}
[3,1,4,6,7,8,2,5]=>[3,4,1,2,6,7,8,5]=>{{1,3},{2,4},{5,6,7,8}}=>{{1,2,3,4},{5,7},{6,8}}
[3,1,4,2,7,5,8,6]=>[3,1,4,2,7,5,8,6]=>{{1,3,4},{2},{5,7,8},{6}}=>{{1,2,4},{3},{5,6,8},{7}}
[3,4,1,2,7,8,5,6]=>[3,4,1,2,7,8,5,6]=>{{1,3},{2,4},{5,7},{6,8}}=>{{1,3},{2,4},{5,7},{6,8}}
[3,4,7,1,8,2,5,6]=>[3,4,7,1,8,2,5,6]=>{{1,3,7},{2,4},{5,8},{6}}=>{{1,4},{2,6,8},{3},{5,7}}
[3,4,7,8,1,2,5,6]=>[3,4,7,8,1,2,5,6]=>{{1,3,7},{2,4,8},{5},{6}}=>{{1,5,7},{2,6,8},{3},{4}}
[3,4,5,1,2,8,6,7]=>[3,4,1,5,8,2,6,7]=>{{1,3},{2,4,5,8},{6},{7}}=>{{1,4,5,7},{2},{3},{6,8}}
[3,4,5,8,1,2,6,7]=>[3,4,5,8,1,2,6,7]=>{{1,3,5},{2,4,8},{6},{7}}=>{{1,5,7},{2},{3},{4,6,8}}
[3,4,5,1,6,2,8,7]=>[3,1,4,2,8,5,6,7]=>{{1,3,4},{2},{5,8},{6},{7}}=>{{1,4},{2},{3},{5,6,8},{7}}
[3,1,4,2,5,6,7,8]=>[3,4,5,6,7,1,8,2]=>{{1,3,5,7,8},{2,4,6}}=>{{1,2,4,6,8},{3,5,7}}
[3,1,4,5,6,7,2,8]=>[3,4,1,5,6,7,8,2]=>{{1,3},{2,4,5,6,7,8}}=>{{1,2,3,4,5,7},{6,8}}
[3,1,4,5,6,7,8,2]=>[3,1,4,5,6,7,8,2]=>{{1,3,4,5,6,7,8},{2}}=>{{1,2,3,4,5,6,8},{7}}
[3,4,5,6,7,1,8,2]=>[3,1,4,2,5,6,7,8]=>{{1,3,4},{2},{5},{6},{7},{8}}=>{{1},{2},{3},{4},{5,6,8},{7}}
[3,1,5,2,6,4,8,7]=>[3,1,5,2,6,4,8,7]=>{{1,3,5,6},{2},{4},{7,8}}=>{{1,2},{3,4,6,8},{5},{7}}
[3,5,1,6,2,4,8,7]=>[3,1,5,6,2,8,4,7]=>{{1,3,5},{2},{4,6,8},{7}}=>{{1,3,5},{2},{4,6,8},{7}}
[3,5,1,2,6,8,4,7]=>[3,5,1,2,6,8,4,7]=>{{1,3},{2,5,6,8},{4},{7}}=>{{1,3,4,7},{2},{5},{6,8}}
[3,1,5,6,2,8,4,7]=>[3,5,1,6,2,4,8,7]=>{{1,3},{2,5},{4,6},{7,8}}=>{{1,2},{3,5},{4,7},{6,8}}
[3,1,5,6,8,2,4,7]=>[3,5,6,1,2,4,8,7]=>{{1,3,6},{2,5},{4},{7,8}}=>{{1,2},{3,6,8},{4,7},{5}}
[3,5,6,1,8,2,4,7]=>[3,5,6,1,8,2,4,7]=>{{1,3,6},{2,5,8},{4},{7}}=>{{1,4,7},{2},{3,6,8},{5}}
[3,5,6,8,1,2,4,7]=>[3,5,6,8,1,2,4,7]=>{{1,3,6},{2,5},{4,8},{7}}=>{{1,5},{2},{3,6,8},{4,7}}
[3,5,6,1,2,4,7,8]=>[3,5,6,7,8,1,2,4]=>{{1,3,6},{2,5,8},{4,7}}=>{{1,4,7},{2,5},{3,6,8}}
[3,5,6,1,7,2,4,8]=>[3,5,6,1,7,2,4,8]=>{{1,3,6},{2,5,7},{4},{8}}=>{{1},{2,4,7},{3,6,8},{5}}
[3,1,5,2,7,4,8,6]=>[3,1,5,2,7,4,8,6]=>{{1,3,5,7,8},{2},{4},{6}}=>{{1,2,4,6,8},{3},{5},{7}}
[3,1,5,7,2,4,8,6]=>[3,1,5,7,2,4,8,6]=>{{1,3,5},{2},{4,7,8},{6}}=>{{1,2,5},{3},{4,6,8},{7}}
[3,5,1,7,2,4,8,6]=>[3,1,5,7,2,8,4,6]=>{{1,3,5},{2},{4,7},{6,8}}=>{{1,3},{2,5},{4,6,8},{7}}
[3,5,1,7,2,8,4,6]=>[3,5,1,7,2,8,4,6]=>{{1,3},{2,5},{4,7},{6,8}}=>{{1,3},{2,5},{4,7},{6,8}}
[3,5,7,1,2,8,4,6]=>[3,5,1,7,8,2,4,6]=>{{1,3},{2,5,8},{4,7},{6}}=>{{1,4,7},{2,5},{3},{6,8}}
[3,5,7,8,1,2,4,6]=>[3,5,7,8,1,2,4,6]=>{{1,3,7},{2,5},{4,8},{6}}=>{{1,5},{2,6,8},{3},{4,7}}
[3,1,5,2,7,4,6,8]=>[1,3,5,2,7,4,8,6]=>{{1},{2,3,5,7,8},{4},{6}}=>{{1,2,4,6,7},{3},{5},{8}}
[1,3,5,2,7,4,8,6]=>[3,1,5,2,7,4,6,8]=>{{1,3,5,7},{2},{4},{6},{8}}=>{{1},{2,4,6,8},{3},{5},{7}}
[3,5,1,2,8,4,6,7]=>[1,3,5,2,6,8,4,7]=>{{1},{2,3,5,6,8},{4},{7}}=>{{1,3,4,6,7},{2},{5},{8}}
[1,3,2,5,4,8,6,7]=>[1,3,2,5,4,8,6,7]=>{{1},{2,3},{4,5},{6,8},{7}}=>{{1,3},{2},{4,5},{6,7},{8}}
[1,3,5,2,4,8,6,7]=>[1,3,2,5,8,4,6,7]=>{{1},{2,3},{4,5,8},{6},{7}}=>{{1,4,5},{2},{3},{6,7},{8}}
[1,3,5,8,2,4,6,7]=>[1,3,5,8,2,4,6,7]=>{{1},{2,3,5},{4,8},{6},{7}}=>{{1,5},{2},{3},{4,6,7},{8}}
[3,5,1,2,4,6,7,8]=>[1,3,5,6,7,8,2,4]=>{{1},{2,3,5,7},{4,6,8}}=>{{1,3,5},{2,4,6,7},{8}}
[1,3,5,6,2,7,4,8]=>[1,3,2,5,4,6,7,8]=>{{1},{2,3},{4,5},{6},{7},{8}}=>{{1},{2},{3},{4,5},{6,7},{8}}
[3,1,6,2,7,4,8,5]=>[3,1,6,2,7,4,8,5]=>{{1,3,6},{2},{4},{5,7,8}}=>{{1,2,4},{3,6,8},{5},{7}}
[3,1,6,7,2,8,4,5]=>[3,6,1,7,2,4,8,5]=>{{1,3},{2,6},{4,7,8},{5}}=>{{1,2,5},{3,7},{4},{6,8}}
[3,6,1,7,2,8,4,5]=>[3,6,1,7,2,8,4,5]=>{{1,3},{2,6,8},{4,7},{5}}=>{{1,3,7},{2,5},{4},{6,8}}
[3,6,7,1,2,8,4,5]=>[3,6,1,7,8,2,4,5]=>{{1,3},{2,6},{4,7},{5,8}}=>{{1,4},{2,5},{3,7},{6,8}}
[3,6,1,7,8,2,4,5]=>[3,6,7,1,2,8,4,5]=>{{1,3,7},{2,6,8},{4},{5}}=>{{1,3,7},{2,6,8},{4},{5}}
[3,6,7,8,1,2,4,5]=>[3,6,7,8,1,2,4,5]=>{{1,3,7},{2,6},{4,8},{5}}=>{{1,5},{2,6,8},{3,7},{4}}
[1,3,2,6,4,7,5,8]=>[1,3,2,6,4,7,5,8]=>{{1},{2,3},{4,6,7},{5},{8}}=>{{1},{2,3,5},{4},{6,7},{8}}
[3,1,6,2,4,7,8,5]=>[3,1,2,6,7,4,8,5]=>{{1,3},{2},{4,6},{5,7,8}}=>{{1,2,4},{3,5},{6,8},{7}}
[1,3,6,2,7,4,8,5]=>[3,1,6,2,7,4,5,8]=>{{1,3,6},{2},{4},{5,7},{8}}=>{{1},{2,4},{3,6,8},{5},{7}}
[1,3,2,6,7,8,4,5]=>[3,6,1,2,4,7,5,8]=>{{1,3},{2,6,7},{4},{5},{8}}=>{{1},{2,3,7},{4},{5},{6,8}}
[1,3,2,6,4,8,5,7]=>[1,3,2,6,4,8,5,7]=>{{1},{2,3},{4,6,8},{5},{7}}=>{{1,3,5},{2},{4},{6,7},{8}}
[3,1,2,4,6,5,8,7]=>[3,1,6,2,4,5,8,7]=>{{1,3,6},{2},{4},{5},{7,8}}=>{{1,2},{3,6,8},{4},{5},{7}}
[1,3,4,6,2,5,8,7]=>[3,1,6,8,2,4,5,7]=>{{1,3,6},{2},{4,8},{5},{7}}=>{{1,5},{2},{3,6,8},{4},{7}}
[3,1,6,2,4,5,7,8]=>[1,3,4,6,7,2,8,5]=>{{1},{2,3,4,6},{5,7,8}}=>{{1,2,4},{3,5,6,7},{8}}
[3,1,2,4,6,7,5,8]=>[1,3,2,4,6,7,8,5]=>{{1},{2,3},{4},{5,6,7,8}}=>{{1,2,3,4},{5},{6,7},{8}}
[3,1,2,4,6,7,8,5]=>[3,1,2,4,6,7,8,5]=>{{1,3},{2},{4},{5,6,7,8}}=>{{1,2,3,4},{5},{6,8},{7}}
[1,3,4,6,7,2,8,5]=>[3,1,6,2,4,5,7,8]=>{{1,3,6},{2},{4},{5},{7},{8}}=>{{1},{2},{3,6,8},{4},{5},{7}}
[1,3,2,7,4,8,5,6]=>[1,3,2,7,4,8,5,6]=>{{1},{2,3},{4,7},{5},{6,8}}=>{{1,3},{2,5},{4},{6,7},{8}}
[1,3,7,2,8,4,5,6]=>[1,3,7,2,8,4,5,6]=>{{1},{2,3,7},{4},{5,8},{6}}=>{{1,4},{2,6,7},{3},{5},{8}}
[3,7,1,2,4,5,6,8]=>[1,3,4,5,7,8,2,6]=>{{1},{2,3,4,5,7},{6,8}}=>{{1,3},{2,4,5,6,7},{8}}
[1,3,4,5,7,8,2,6]=>[3,7,1,2,4,5,6,8]=>{{1,3},{2,7},{4},{5},{6},{8}}=>{{1},{2,7},{3},{4},{5},{6,8}}
[1,3,4,2,8,5,6,7]=>[1,3,4,2,8,5,6,7]=>{{1},{2,3,4},{5,8},{6},{7}}=>{{1,4},{2},{3},{5,6,7},{8}}
[1,3,2,4,5,8,6,7]=>[1,3,2,4,5,8,6,7]=>{{1},{2,3},{4},{5},{6,8},{7}}=>{{1,3},{2},{4},{5},{6,7},{8}}
[1,3,4,5,2,8,6,7]=>[1,3,2,8,4,5,6,7]=>{{1},{2,3},{4,8},{5},{6},{7}}=>{{1,5},{2},{3},{4},{6,7},{8}}
[4,1,5,2,6,3,8,7]=>[4,1,5,2,6,3,8,7]=>{{1,4},{2},{3,5,6},{7,8}}=>{{1,2},{3,4,6},{5,8},{7}}
[4,5,1,2,6,3,8,7]=>[4,1,5,2,6,8,3,7]=>{{1,4},{2},{3,5,6,8},{7}}=>{{1,3,4,6},{2},{5,8},{7}}
[4,5,6,1,2,3,8,7]=>[4,1,5,6,8,2,3,7]=>{{1,4,6},{2},{3,5,8},{7}}=>{{1,4,6},{2},{3,5,8},{7}}
[4,1,5,2,6,8,3,7]=>[4,5,1,2,6,3,8,7]=>{{1,4},{2,5,6},{3},{7,8}}=>{{1,2},{3,4,7},{5,8},{6}}
[4,5,1,6,2,8,3,7]=>[4,5,1,6,2,8,3,7]=>{{1,4,6,8},{2,5},{3},{7}}=>{{1,3,5,8},{2},{4,7},{6}}
[4,1,5,6,8,2,3,7]=>[4,5,6,1,2,3,8,7]=>{{1,4},{2,5},{3,6},{7,8}}=>{{1,2},{3,6},{4,7},{5,8}}
[4,5,1,6,8,2,3,7]=>[4,5,6,1,2,8,3,7]=>{{1,4},{2,5},{3,6,8},{7}}=>{{1,3,6},{2},{4,7},{5,8}}
[4,5,6,8,1,2,3,7]=>[4,5,6,8,1,2,3,7]=>{{1,4,8},{2,5},{3,6},{7}}=>{{1,5,8},{2},{3,6},{4,7}}
[4,1,5,6,2,3,7,8]=>[4,5,6,7,1,2,8,3]=>{{1,4,7,8},{2,5},{3,6}}=>{{1,2,5,8},{3,6},{4,7}}
[4,5,1,6,2,3,7,8]=>[4,5,6,7,1,8,2,3]=>{{1,4,7},{2,5},{3,6,8}}=>{{1,3,6},{2,5,8},{4,7}}
[4,5,1,6,2,7,3,8]=>[4,5,1,6,2,7,3,8]=>{{1,4,6,7},{2,5},{3},{8}}=>{{1},{2,3,5,8},{4,7},{6}}
[4,5,6,1,7,2,3,8]=>[4,5,6,1,7,2,3,8]=>{{1,4},{2,5,7},{3,6},{8}}=>{{1},{2,4,7},{3,6},{5,8}}
[4,5,1,2,6,7,8,3]=>[4,1,5,6,7,8,2,3]=>{{1,4,6,8},{2},{3,5,7}}=>{{1,3,5,8},{2,4,6},{7}}
[4,1,5,2,7,3,8,6]=>[4,1,5,2,7,3,8,6]=>{{1,4},{2},{3,5,7,8},{6}}=>{{1,2,4,6},{3},{5,8},{7}}
[4,5,1,7,2,3,8,6]=>[4,1,5,7,2,8,3,6]=>{{1,4,7},{2},{3,5},{6,8}}=>{{1,3},{2,5,8},{4,6},{7}}
[4,1,5,7,2,8,3,6]=>[4,5,1,7,2,3,8,6]=>{{1,4,7,8},{2,5},{3},{6}}=>{{1,2,5,8},{3},{4,7},{6}}
[4,5,1,7,2,8,3,6]=>[4,5,1,7,2,8,3,6]=>{{1,4,7},{2,5},{3},{6,8}}=>{{1,3},{2,5,8},{4,7},{6}}
[4,5,7,1,2,8,3,6]=>[4,5,1,7,8,2,3,6]=>{{1,4,7},{2,5,8},{3},{6}}=>{{1,4,7},{2,5,8},{3},{6}}
[4,5,1,7,8,2,3,6]=>[4,5,7,1,2,8,3,6]=>{{1,4},{2,5},{3,7},{6,8}}=>{{1,3},{2,6},{4,7},{5,8}}
[4,5,7,8,1,2,3,6]=>[4,5,7,8,1,2,3,6]=>{{1,4,8},{2,5},{3,7},{6}}=>{{1,5,8},{2,6},{3},{4,7}}
[4,1,5,2,7,3,6,8]=>[1,4,5,2,7,3,8,6]=>{{1},{2,4},{3,5,7,8},{6}}=>{{1,2,4,6},{3},{5,7},{8}}
[4,1,5,7,2,3,6,8]=>[1,4,5,7,2,3,8,6]=>{{1},{2,4,7,8},{3,5},{6}}=>{{1,2,5,7},{3},{4,6},{8}}
[4,1,5,2,3,7,6,8]=>[1,4,2,5,7,3,8,6]=>{{1},{2,4,5,7,8},{3},{6}}=>{{1,2,4,5,7},{3},{6},{8}}
[4,5,1,2,3,7,6,8]=>[1,4,2,5,7,8,3,6]=>{{1},{2,4,5,7},{3},{6,8}}=>{{1,3},{2,4,5,7},{6},{8}}
[1,4,2,5,3,7,6,8]=>[1,4,2,5,3,7,6,8]=>{{1},{2,4,5},{3},{6,7},{8}}=>{{1},{2,3},{4,5,7},{6},{8}}
[1,4,5,2,3,7,8,6]=>[4,1,2,5,7,3,6,8]=>{{1,4,5,7},{2},{3},{6},{8}}=>{{1},{2,4,5,8},{3},{6},{7}}
[1,4,5,2,7,8,3,6]=>[4,5,1,2,7,3,6,8]=>{{1,4},{2,5,7},{3},{6},{8}}=>{{1},{2,4,7},{3},{5,8},{6}}
[4,1,5,2,8,3,6,7]=>[1,4,5,2,6,3,8,7]=>{{1},{2,4},{3,5,6},{7,8}}=>{{1,2},{3,4,6},{5,7},{8}}
[1,4,2,5,3,8,6,7]=>[1,4,2,5,3,8,6,7]=>{{1},{2,4,5},{3},{6,8},{7}}=>{{1,3},{2},{4,5,7},{6},{8}}
[1,4,5,2,3,8,6,7]=>[1,4,2,5,8,3,6,7]=>{{1},{2,4,5,8},{3},{6},{7}}=>{{1,4,5,7},{2},{3},{6},{8}}
[1,4,5,2,6,8,3,7]=>[4,5,1,2,8,3,6,7]=>{{1,4},{2,5,8},{3},{6},{7}}=>{{1,4,7},{2},{3},{5,8},{6}}
[1,4,2,5,3,6,7,8]=>[1,4,5,6,2,7,3,8]=>{{1},{2,4,6,7},{3,5},{8}}=>{{1},{2,3,5,7},{4,6},{8}}
[1,4,5,2,3,6,7,8]=>[1,4,5,6,7,2,3,8]=>{{1},{2,4,6},{3,5,7},{8}}=>{{1},{2,4,6},{3,5,7},{8}}
[4,1,2,5,6,3,7,8]=>[1,4,5,2,6,7,8,3]=>{{1},{2,4},{3,5,6,7,8}}=>{{1,2,3,4,6},{5,7},{8}}
[4,1,2,5,6,7,3,8]=>[1,4,2,5,6,7,8,3]=>{{1},{2,4,5,6,7,8},{3}}=>{{1,2,3,4,5,7},{6},{8}}
[1,4,2,5,6,7,3,8]=>[1,4,2,5,6,7,3,8]=>{{1},{2,4,5,6,7},{3},{8}}=>{{1},{2,3,4,5,7},{6},{8}}
[1,4,5,6,2,7,3,8]=>[1,4,2,5,3,6,7,8]=>{{1},{2,4,5},{3},{6},{7},{8}}=>{{1},{2},{3},{4,5,7},{6},{8}}
[4,1,2,5,6,7,8,3]=>[4,1,2,5,6,7,8,3]=>{{1,4,5,6,7,8},{2},{3}}=>{{1,2,3,4,5,8},{6},{7}}
[4,1,6,2,7,3,8,5]=>[4,1,6,2,7,3,8,5]=>{{1,4},{2},{3,6},{5,7,8}}=>{{1,2,4},{3,6},{5,8},{7}}
[4,6,1,2,7,8,3,5]=>[4,6,1,2,7,8,3,5]=>{{1,4},{2,6,8},{3},{5,7}}=>{{1,3,7},{2,4},{5,8},{6}}
[4,6,7,1,8,2,3,5]=>[4,6,7,1,8,2,3,5]=>{{1,4},{2,6},{3,7},{5,8}}=>{{1,4},{2,6},{3,7},{5,8}}
[4,6,7,8,1,2,3,5]=>[4,6,7,8,1,2,3,5]=>{{1,4,8},{2,6},{3,7},{5}}=>{{1,5,8},{2,6},{3,7},{4}}
[4,1,6,2,7,3,5,8]=>[1,4,6,2,7,3,8,5]=>{{1},{2,4},{3,6},{5,7,8}}=>{{1,2,4},{3,6},{5,7},{8}}
[4,6,1,2,7,3,5,8]=>[1,4,6,2,7,8,3,5]=>{{1},{2,4},{3,6,8},{5,7}}=>{{1,3,6},{2,4},{5,7},{8}}
[4,6,1,7,2,3,5,8]=>[1,4,6,7,2,8,3,5]=>{{1},{2,4,7},{3,6,8},{5}}=>{{1,3,6},{2,5,7},{4},{8}}
[4,6,1,2,3,7,5,8]=>[1,4,2,6,7,8,3,5]=>{{1},{2,4,6,8},{3},{5,7}}=>{{1,3,5,7},{2,4},{6},{8}}
[1,4,2,6,3,7,5,8]=>[1,4,2,6,3,7,5,8]=>{{1},{2,4,6,7},{3},{5},{8}}=>{{1},{2,3,5,7},{4},{6},{8}}
[4,1,6,2,3,7,8,5]=>[4,1,2,6,7,3,8,5]=>{{1,4,6},{2},{3},{5,7,8}}=>{{1,2,4},{3,5,8},{6},{7}}
[4,1,2,6,7,3,8,5]=>[4,1,6,2,3,7,8,5]=>{{1,4},{2},{3,6,7,8},{5}}=>{{1,2,3,6},{4},{5,8},{7}}
[1,4,2,6,7,8,3,5]=>[4,6,1,2,3,7,5,8]=>{{1,4},{2,6,7},{3},{5},{8}}=>{{1},{2,3,7},{4},{5,8},{6}}
[1,4,6,7,2,8,3,5]=>[4,6,1,7,2,3,5,8]=>{{1,4,7},{2,6},{3},{5},{8}}=>{{1},{2,5,8},{3,7},{4},{6}}
[1,4,2,6,3,8,5,7]=>[1,4,2,6,3,8,5,7]=>{{1},{2,4,6,8},{3},{5},{7}}=>{{1,3,5,7},{2},{4},{6},{8}}
[4,1,6,2,3,5,8,7]=>[4,1,2,3,6,5,8,7]=>{{1,4},{2},{3},{5,6},{7,8}}=>{{1,2},{3,4},{5,8},{6},{7}}
[4,6,1,2,3,5,8,7]=>[4,1,2,3,6,8,5,7]=>{{1,4},{2},{3},{5,6,8},{7}}=>{{1,3,4},{2},{5,8},{6},{7}}
[1,4,2,6,3,5,8,7]=>[4,1,2,6,3,8,5,7]=>{{1,4,6,8},{2},{3},{5},{7}}=>{{1,3,5,8},{2},{4},{6},{7}}
[4,6,1,2,3,5,7,8]=>[1,2,4,6,7,8,3,5]=>{{1},{2},{3,4,6,8},{5,7}}=>{{1,3,5,6},{2,4},{7},{8}}
[4,1,2,3,6,5,7,8]=>[1,2,4,3,6,7,8,5]=>{{1},{2},{3,4},{5,6,7,8}}=>{{1,2,3,4},{5,6},{7},{8}}
[4,1,2,3,6,7,5,8]=>[1,4,2,3,6,7,8,5]=>{{1},{2,4},{3},{5,6,7,8}}=>{{1,2,3,4},{5,7},{6},{8}}
[1,2,4,6,3,7,5,8]=>[1,4,2,6,3,5,7,8]=>{{1},{2,4,6},{3},{5},{7},{8}}=>{{1},{2},{3,5,7},{4},{6},{8}}
[4,1,2,3,6,7,8,5]=>[4,1,2,3,6,7,8,5]=>{{1,4},{2},{3},{5,6,7,8}}=>{{1,2,3,4},{5,8},{6},{7}}
[1,4,2,3,6,7,8,5]=>[4,1,2,3,6,7,5,8]=>{{1,4},{2},{3},{5,6,7},{8}}=>{{1},{2,3,4},{5,8},{6},{7}}
[1,2,4,6,7,8,3,5]=>[4,6,1,2,3,5,7,8]=>{{1,4},{2,6},{3},{5},{7},{8}}=>{{1},{2},{3,7},{4},{5,8},{6}}
[1,4,2,7,3,8,5,6]=>[1,4,2,7,3,8,5,6]=>{{1},{2,4,7},{3},{5},{6,8}}=>{{1,3},{2,5,7},{4},{6},{8}}
[1,4,7,2,3,8,5,6]=>[1,4,2,7,8,3,5,6]=>{{1},{2,4,7},{3},{5,8},{6}}=>{{1,4},{2,5,7},{3},{6},{8}}
[1,4,7,8,2,3,5,6]=>[1,4,7,8,2,3,5,6]=>{{1},{2,4,8},{3,7},{5},{6}}=>{{1,5,7},{2,6},{3},{4},{8}}
[4,1,7,2,3,5,8,6]=>[4,1,2,3,7,5,8,6]=>{{1,4},{2},{3},{5,7,8},{6}}=>{{1,2,4},{3},{5,8},{6},{7}}
[4,7,1,2,3,5,8,6]=>[4,1,2,3,7,8,5,6]=>{{1,4},{2},{3},{5,7},{6,8}}=>{{1,3},{2,4},{5,8},{6},{7}}
[1,4,7,2,3,5,8,6]=>[4,1,2,7,8,3,5,6]=>{{1,4,7},{2},{3},{5,8},{6}}=>{{1,4},{2,5,8},{3},{6},{7}}
[1,2,4,3,7,5,8,6]=>[4,1,7,2,8,3,5,6]=>{{1,4},{2},{3,7},{5,8},{6}}=>{{1,4},{2,6},{3},{5,8},{7}}
[1,2,4,7,3,5,8,6]=>[4,1,7,8,2,3,5,6]=>{{1,4,8},{2},{3,7},{5},{6}}=>{{1,5,8},{2,6},{3},{4},{7}}
[1,2,4,3,7,8,5,6]=>[4,7,1,2,8,3,5,6]=>{{1,4},{2,7},{3},{5,8},{6}}=>{{1,4},{2,7},{3},{5,8},{6}}
[1,2,4,7,3,8,5,6]=>[4,7,1,8,2,3,5,6]=>{{1,4,8},{2,7},{3},{5},{6}}=>{{1,5,8},{2,7},{3},{4},{6}}
[4,1,7,2,3,5,6,8]=>[1,2,4,5,7,3,8,6]=>{{1},{2},{3,4,5,7,8},{6}}=>{{1,2,4,5,6},{3},{7},{8}}
[4,1,2,3,5,7,8,6]=>[4,1,2,3,5,7,8,6]=>{{1,4},{2},{3},{5},{6,7,8}}=>{{1,2,3},{4},{5,8},{6},{7}}
[1,2,4,3,8,5,6,7]=>[1,2,4,3,8,5,6,7]=>{{1},{2},{3,4},{5,8},{6},{7}}=>{{1,4},{2},{3},{5,6},{7},{8}}
[1,4,2,3,5,8,6,7]=>[1,4,2,3,5,8,6,7]=>{{1},{2,4},{3},{5},{6,8},{7}}=>{{1,3},{2},{4},{5,7},{6},{8}}
[1,2,4,3,5,8,6,7]=>[1,4,2,3,8,5,6,7]=>{{1},{2,4},{3},{5,8},{6},{7}}=>{{1,4},{2},{3},{5,7},{6},{8}}
[1,4,2,3,5,6,8,7]=>[4,1,2,3,5,8,6,7]=>{{1,4},{2},{3},{5},{6,8},{7}}=>{{1,3},{2},{4},{5,8},{6},{7}}
[1,2,4,5,6,8,3,7]=>[4,8,1,2,3,5,6,7]=>{{1,4},{2,8},{3},{5},{6},{7}}=>{{1,7},{2},{3},{4},{5,8},{6}}
[5,1,6,2,7,3,8,4]=>[5,1,6,2,7,3,8,4]=>{{1,5,7,8},{2},{3,6},{4}}=>{{1,2,4,8},{3,6},{5},{7}}
[5,6,1,2,7,8,3,4]=>[5,6,1,2,7,8,3,4]=>{{1,5,7},{2,6,8},{3},{4}}=>{{1,3,7},{2,4,8},{5},{6}}
[1,5,2,6,3,7,4,8]=>[1,5,2,6,3,7,4,8]=>{{1},{2,5},{3},{4,6,7},{8}}=>{{1},{2,3,5},{4,7},{6},{8}}
[5,1,2,6,7,8,3,4]=>[5,6,1,2,3,7,8,4]=>{{1,5},{2,6,7,8},{3},{4}}=>{{1,2,3,7},{4,8},{5},{6}}
[1,5,6,7,8,2,3,4]=>[5,6,7,1,2,3,4,8]=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1},{2,6},{3,7},{4,8},{5}}
[1,5,2,6,3,8,4,7]=>[1,5,2,6,3,8,4,7]=>{{1},{2,5},{3},{4,6,8},{7}}=>{{1,3,5},{2},{4,7},{6},{8}}
[1,5,2,6,8,3,4,7]=>[1,5,6,2,3,8,4,7]=>{{1},{2,5},{3,6,8},{4},{7}}=>{{1,3,6},{2},{4,7},{5},{8}}
[1,5,2,3,6,4,8,7]=>[5,1,6,2,3,8,4,7]=>{{1,5},{2},{3,6,8},{4},{7}}=>{{1,3,6},{2},{4,8},{5},{7}}
[1,5,2,3,6,8,4,7]=>[5,6,1,2,3,8,4,7]=>{{1,5},{2,6,8},{3},{4},{7}}=>{{1,3,7},{2},{4,8},{5},{6}}
[5,1,6,2,3,4,7,8]=>[1,2,5,6,7,3,8,4]=>{{1},{2},{3,5,7,8},{4,6}}=>{{1,2,4,6},{3,5},{7},{8}}
[5,1,2,6,3,4,7,8]=>[1,2,5,6,3,7,8,4]=>{{1},{2},{3,5},{4,6,7,8}}=>{{1,2,3,5},{4,6},{7},{8}}
[5,1,2,3,6,4,7,8]=>[1,2,5,3,6,7,8,4]=>{{1},{2},{3,5,6,7,8},{4}}=>{{1,2,3,4,6},{5},{7},{8}}
[1,5,2,3,6,4,7,8]=>[1,2,5,3,6,7,4,8]=>{{1},{2},{3,5,6,7},{4},{8}}=>{{1},{2,3,4,6},{5},{7},{8}}
[1,2,5,3,6,4,7,8]=>[1,2,5,3,6,4,7,8]=>{{1},{2},{3,5,6},{4},{7},{8}}=>{{1},{2},{3,4,6},{5},{7},{8}}
[1,2,5,6,3,4,7,8]=>[1,2,5,6,3,4,7,8]=>{{1},{2},{3,5},{4,6},{7},{8}}=>{{1},{2},{3,5},{4,6},{7},{8}}
[5,1,2,3,6,7,4,8]=>[1,5,2,3,6,7,8,4]=>{{1},{2,5,6,7,8},{3},{4}}=>{{1,2,3,4,7},{5},{6},{8}}
[1,2,5,3,6,7,4,8]=>[1,5,2,3,6,4,7,8]=>{{1},{2,5,6},{3},{4},{7},{8}}=>{{1},{2},{3,4,7},{5},{6},{8}}
[1,2,5,6,3,7,4,8]=>[1,5,2,6,3,4,7,8]=>{{1},{2,5},{3},{4,6},{7},{8}}=>{{1},{2},{3,5},{4,7},{6},{8}}
[5,1,2,3,6,7,8,4]=>[5,1,2,3,6,7,8,4]=>{{1,5,6,7,8},{2},{3},{4}}=>{{1,2,3,4,8},{5},{6},{7}}
[1,2,5,6,7,3,8,4]=>[5,1,6,2,3,4,7,8]=>{{1,5},{2},{3,6},{4},{7},{8}}=>{{1},{2},{3,6},{4,8},{5},{7}}
[1,5,2,7,3,8,4,6]=>[1,5,2,7,3,8,4,6]=>{{1},{2,5},{3},{4,7},{6,8}}=>{{1,3},{2,5},{4,7},{6},{8}}
[1,5,7,2,8,3,4,6]=>[1,5,7,2,8,3,4,6]=>{{1},{2,5,8},{3,7},{4},{6}}=>{{1,4,7},{2,6},{3},{5},{8}}
[1,2,5,3,7,4,8,6]=>[5,1,7,2,8,3,4,6]=>{{1,5,8},{2},{3,7},{4},{6}}=>{{1,4,8},{2,6},{3},{5},{7}}
[1,2,5,7,8,3,4,6]=>[5,7,8,1,2,3,4,6]=>{{1,5},{2,7},{3,8},{4},{6}}=>{{1,6},{2,7},{3},{4,8},{5}}
[1,5,2,7,3,4,6,8]=>[1,2,3,5,4,7,6,8]=>{{1},{2},{3},{4,5},{6,7},{8}}=>{{1},{2,3},{4,5},{6},{7},{8}}
[1,2,5,3,4,7,6,8]=>[1,5,2,3,7,4,6,8]=>{{1},{2,5,7},{3},{4},{6},{8}}=>{{1},{2,4,7},{3},{5},{6},{8}}
[1,2,3,5,7,8,4,6]=>[5,7,1,2,3,4,6,8]=>{{1,5},{2,7},{3},{4},{6},{8}}=>{{1},{2,7},{3},{4,8},{5},{6}}
[1,5,2,8,3,4,6,7]=>[1,2,3,5,4,8,6,7]=>{{1},{2},{3},{4,5},{6,8},{7}}=>{{1,3},{2},{4,5},{6},{7},{8}}
[1,2,5,3,8,4,6,7]=>[1,2,5,3,8,4,6,7]=>{{1},{2},{3,5,8},{4},{6},{7}}=>{{1,4,6},{2},{3},{5},{7},{8}}
[1,5,2,3,4,8,6,7]=>[1,5,2,3,4,8,6,7]=>{{1},{2,5},{3},{4},{6,8},{7}}=>{{1,3},{2},{4,7},{5},{6},{8}}
[1,2,3,5,4,8,6,7]=>[1,5,2,8,3,4,6,7]=>{{1},{2,5},{3},{4,8},{6},{7}}=>{{1,5},{2},{3},{4,7},{6},{8}}
[1,2,3,5,8,4,6,7]=>[1,5,8,2,3,4,6,7]=>{{1},{2,5},{3,8},{4},{6},{7}}=>{{1,6},{2},{3},{4,7},{5},{8}}
[5,1,2,3,4,6,8,7]=>[5,1,2,3,4,6,8,7]=>{{1,5},{2},{3},{4},{6},{7,8}}=>{{1,2},{3},{4,8},{5},{6},{7}}
[1,2,5,3,4,6,8,7]=>[5,1,2,3,8,4,6,7]=>{{1,5,8},{2},{3},{4},{6},{7}}=>{{1,4,8},{2},{3},{5},{6},{7}}
[1,6,2,7,3,8,4,5]=>[1,6,2,7,3,8,4,5]=>{{1},{2,6,8},{3},{4,7},{5}}=>{{1,3,7},{2,5},{4},{6},{8}}
[1,6,7,2,8,3,4,5]=>[1,6,7,2,8,3,4,5]=>{{1},{2,6},{3,7},{4},{5,8}}=>{{1,4},{2,6},{3,7},{5},{8}}
[1,6,7,8,2,3,4,5]=>[1,6,7,8,2,3,4,5]=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1,5},{2,6},{3,7},{4},{8}}
[6,1,2,3,7,8,4,5]=>[6,7,1,2,3,4,8,5]=>{{1,6},{2,7,8},{3},{4},{5}}=>{{1,2,7},{3,8},{4},{5},{6}}
[1,2,6,7,3,8,4,5]=>[6,7,1,8,2,3,4,5]=>{{1,6},{2,7},{3},{4,8},{5}}=>{{1,5},{2,7},{3,8},{4},{6}}
[1,2,6,7,8,3,4,5]=>[6,7,8,1,2,3,4,5]=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}
[6,1,7,2,3,4,5,8]=>[1,2,3,6,7,4,8,5]=>{{1},{2},{3},{4,6},{5,7,8}}=>{{1,2,4},{3,5},{6},{7},{8}}
[6,1,2,7,3,4,5,8]=>[1,2,3,6,4,7,8,5]=>{{1},{2},{3},{4,6,7,8},{5}}=>{{1,2,3,5},{4},{6},{7},{8}}
[1,6,2,7,3,4,5,8]=>[1,2,3,6,4,7,5,8]=>{{1},{2},{3},{4,6,7},{5},{8}}=>{{1},{2,3,5},{4},{6},{7},{8}}
[6,1,2,3,7,4,5,8]=>[1,2,6,3,4,7,8,5]=>{{1},{2},{3,6,7,8},{4},{5}}=>{{1,2,3,6},{4},{5},{7},{8}}
[1,6,2,3,4,7,5,8]=>[1,6,2,3,4,7,5,8]=>{{1},{2,6,7},{3},{4},{5},{8}}=>{{1},{2,3,7},{4},{5},{6},{8}}
[1,2,3,6,4,7,5,8]=>[1,6,2,7,3,4,5,8]=>{{1},{2,6},{3},{4,7},{5},{8}}=>{{1},{2,5},{3,7},{4},{6},{8}}
[1,2,3,6,7,4,5,8]=>[1,6,7,2,3,4,5,8]=>{{1},{2,6},{3,7},{4},{5},{8}}=>{{1},{2,6},{3,7},{4},{5},{8}}
[6,1,2,3,4,7,8,5]=>[6,1,2,3,4,7,8,5]=>{{1,6,7,8},{2},{3},{4},{5}}=>{{1,2,3,8},{4},{5},{6},{7}}
[1,2,3,6,4,7,8,5]=>[6,1,2,7,3,4,5,8]=>{{1,6},{2},{3},{4,7},{5},{8}}=>{{1},{2,5},{3,8},{4},{6},{7}}
[1,6,2,8,3,4,5,7]=>[1,2,3,6,4,8,5,7]=>{{1},{2},{3},{4,6,8},{5},{7}}=>{{1,3,5},{2},{4},{6},{7},{8}}
[1,6,2,3,8,4,5,7]=>[1,2,6,3,4,8,5,7]=>{{1},{2},{3,6,8},{4},{5},{7}}=>{{1,3,6},{2},{4},{5},{7},{8}}
[1,6,2,3,4,8,5,7]=>[1,6,2,3,4,8,5,7]=>{{1},{2,6,8},{3},{4},{5},{7}}=>{{1,3,7},{2},{4},{5},{6},{8}}
[1,2,3,6,4,8,5,7]=>[1,6,2,8,3,4,5,7]=>{{1},{2,6},{3},{4,8},{5},{7}}=>{{1,5},{2},{3,7},{4},{6},{8}}
[6,1,2,3,4,5,8,7]=>[6,1,2,3,4,5,8,7]=>{{1,6},{2},{3},{4},{5},{7,8}}=>{{1,2},{3,8},{4},{5},{6},{7}}
[1,2,3,6,4,5,8,7]=>[6,1,2,8,3,4,5,7]=>{{1,6},{2},{3},{4,8},{5},{7}}=>{{1,5},{2},{3,8},{4},{6},{7}}
[7,1,8,2,3,4,5,6]=>[1,2,3,4,7,5,8,6]=>{{1},{2},{3},{4},{5,7,8},{6}}=>{{1,2,4},{3},{5},{6},{7},{8}}
[7,1,2,8,3,4,5,6]=>[1,2,3,7,4,5,8,6]=>{{1},{2},{3},{4,7,8},{5},{6}}=>{{1,2,5},{3},{4},{6},{7},{8}}
[1,7,2,8,3,4,5,6]=>[1,2,3,7,4,8,5,6]=>{{1},{2},{3},{4,7},{5},{6,8}}=>{{1,3},{2,5},{4},{6},{7},{8}}
[7,1,2,3,8,4,5,6]=>[1,2,7,3,4,5,8,6]=>{{1},{2},{3,7,8},{4},{5},{6}}=>{{1,2,6},{3},{4},{5},{7},{8}}
[7,1,2,3,4,8,5,6]=>[1,7,2,3,4,5,8,6]=>{{1},{2,7,8},{3},{4},{5},{6}}=>{{1,2,7},{3},{4},{5},{6},{8}}
[1,7,2,3,4,8,5,6]=>[1,7,2,3,4,8,5,6]=>{{1},{2,7},{3},{4},{5},{6,8}}=>{{1,3},{2,7},{4},{5},{6},{8}}
[1,2,7,3,4,8,5,6]=>[1,7,2,3,8,4,5,6]=>{{1},{2,7},{3},{4},{5,8},{6}}=>{{1,4},{2,7},{3},{5},{6},{8}}
[1,2,3,7,4,8,5,6]=>[1,7,2,8,3,4,5,6]=>{{1},{2,7},{3},{4,8},{5},{6}}=>{{1,5},{2,7},{3},{4},{6},{8}}
[1,2,3,7,8,4,5,6]=>[1,7,8,2,3,4,5,6]=>{{1},{2,7},{3,8},{4},{5},{6}}=>{{1,6},{2,7},{3},{4},{5},{8}}
[7,1,2,3,4,5,8,6]=>[7,1,2,3,4,5,8,6]=>{{1,7,8},{2},{3},{4},{5},{6}}=>{{1,2,8},{3},{4},{5},{6},{7}}
[1,7,2,3,4,5,8,6]=>[7,1,2,3,4,8,5,6]=>{{1,7},{2},{3},{4},{5},{6,8}}=>{{1,3},{2,8},{4},{5},{6},{7}}
[1,2,3,7,4,5,8,6]=>[7,1,2,8,3,4,5,6]=>{{1,7},{2},{3},{4,8},{5},{6}}=>{{1,5},{2,8},{3},{4},{6},{7}}
[1,2,3,4,7,5,8,6]=>[7,1,8,2,3,4,5,6]=>{{1,7},{2},{3,8},{4},{5},{6}}=>{{1,6},{2,8},{3},{4},{5},{7}}
[1,2,3,4,7,8,5,6]=>[7,8,1,2,3,4,5,6]=>{{1,7},{2,8},{3},{4},{5},{6}}=>{{1,7},{2,8},{3},{4},{5},{6}}
[1,7,2,3,4,5,6,8]=>[1,2,3,4,5,7,6,8]=>{{1},{2},{3},{4},{5},{6,7},{8}}=>{{1},{2,3},{4},{5},{6},{7},{8}}
[1,8,2,3,4,5,6,7]=>[1,2,3,4,5,8,6,7]=>{{1},{2},{3},{4},{5},{6,8},{7}}=>{{1,3},{2},{4},{5},{6},{7},{8}}
[1,2,8,3,4,5,6,7]=>[1,2,3,4,8,5,6,7]=>{{1},{2},{3},{4},{5,8},{6},{7}}=>{{1,4},{2},{3},{5},{6},{7},{8}}
[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>{{1},{2},{3},{4,8},{5},{6},{7}}=>{{1,5},{2},{3},{4},{6},{7},{8}}
[1,2,3,4,5,8,6,7]=>[1,8,2,3,4,5,6,7]=>{{1},{2,8},{3},{4},{5},{6},{7}}=>{{1,7},{2},{3},{4},{5},{6},{8}}
[5,3,2,6,1,4,8,7]=>[5,3,6,8,4,7,2,1]=>{{1,5},{2,3,6,7},{4,8}}=>{{1,5},{2,3,6,7},{4,8}}
[7,3,2,5,4,8,1,6]=>[3,7,2,5,4,8,6,1]=>{{1,3},{2,7},{4,5},{6,8}}=>{{1,3},{2,7},{4,5},{6,8}}
[8,4,5,2,3,7,6,1]=>[8,4,2,5,7,3,6,1]=>{{1,8},{2,4,5,7},{3},{6}}=>{{1,8},{2,4,5,7},{3},{6}}
[7,4,5,2,3,8,1,6]=>[4,7,2,5,8,3,6,1]=>{{1,4,5,8},{2,7},{3},{6}}=>{{1,4,5,8},{2,7},{3},{6}}
[6,4,5,2,3,1,8,7]=>[4,2,6,5,8,3,7,1]=>{{1,4,5,8},{2},{3,6},{7}}=>{{1,4,5,8},{2},{3,6},{7}}
[5,4,6,2,1,3,8,7]=>[5,2,6,8,4,3,7,1]=>{{1,5},{2},{3,6},{4,8},{7}}=>{{1,5},{2},{3,6},{4,8},{7}}
[3,6,1,5,4,2,8,7]=>[3,1,6,5,4,8,2,7]=>{{1,3,6,8},{2},{4,5},{7}}=>{{1,3,6,8},{2},{4,5},{7}}
[4,6,5,1,3,2,8,7]=>[4,1,6,5,8,3,2,7]=>{{1,4,5,8},{2},{3,6},{7}}=>{{1,4,5,8},{2},{3,6},{7}}
[5,6,4,3,1,2,8,7]=>[5,1,6,8,4,3,2,7]=>{{1,5},{2},{3,6},{4,8},{7}}=>{{1,5},{2},{3,6},{4,8},{7}}
[7,5,4,3,2,8,1,6]=>[7,8,5,6,4,3,2,1]=>{{1,7},{2,8},{3,5},{4,6}}=>{{1,7},{2,8},{3,5},{4,6}}
[8,6,4,3,7,2,5,1]=>[8,6,7,4,5,3,2,1]=>{{1,8},{2,6},{3,7},{4},{5}}=>{{1,8},{2,6},{3,7},{4},{5}}
[7,6,4,3,8,2,1,5]=>[7,8,6,4,5,3,2,1]=>{{1,7},{2,8},{3,6},{4},{5}}=>{{1,7},{2,8},{3,6},{4},{5}}
[6,7,4,3,8,1,2,5]=>[6,7,8,1,4,3,2,5]=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}
[5,7,4,3,1,8,2,6]=>[5,7,1,8,4,3,2,6]=>{{1,5},{2,7},{3},{4,8},{6}}=>{{1,5},{2,7},{3},{4,8},{6}}
[4,7,5,1,3,8,2,6]=>[4,7,1,5,8,3,2,6]=>{{1,4,5,8},{2,7},{3},{6}}=>{{1,4,5,8},{2,7},{3},{6}}
[3,7,1,5,4,8,2,6]=>[3,7,1,5,4,8,2,6]=>{{1,3},{2,7},{4,5},{6,8}}=>{{1,3},{2,7},{4,5},{6,8}}
[2,1,7,5,4,8,3,6]=>[2,7,1,5,4,3,8,6]=>{{1,2,7,8},{3},{4,5},{6}}=>{{1,2,7,8},{3},{4,5},{6}}
[3,8,1,5,4,7,6,2]=>[8,3,1,5,4,7,2,6]=>{{1,8},{2,3},{4,5},{6,7}}=>{{1,8},{2,3},{4,5},{6,7}}
[4,8,5,1,3,7,6,2]=>[8,4,1,5,7,3,2,6]=>{{1,8},{2,4,5,7},{3},{6}}=>{{1,8},{2,4,5,7},{3},{6}}
[5,8,4,3,1,7,6,2]=>[5,4,3,8,7,6,1,2]=>{{1,5,7},{2,4,8},{3},{6}}=>{{1,5,7},{2,4,8},{3},{6}}
[6,8,4,3,7,1,5,2]=>[6,4,8,3,7,5,1,2]=>{{1,6},{2,4},{3,8},{5,7}}=>{{1,6},{2,4},{3,8},{5,7}}
[7,8,4,3,6,5,1,2]=>[7,8,4,3,6,5,1,2]=>{{1,7},{2,8},{3,4},{5,6}}=>{{1,7},{2,8},{3,4},{5,6}}
[6,8,5,7,3,1,4,2]=>[6,5,8,7,3,4,1,2]=>{{1,6},{2,5},{3,8},{4,7}}=>{{1,6},{2,5},{3,8},{4,7}}
[5,8,6,7,1,3,4,2]=>[8,5,6,7,1,3,2,4]=>{{1,8},{2,5},{3,6},{4,7}}=>{{1,8},{2,5},{3,6},{4,7}}
[4,8,6,1,7,3,5,2]=>[8,4,6,1,7,3,2,5]=>{{1,8},{2,4},{3,6},{5,7}}=>{{1,8},{2,4},{3,6},{5,7}}
[3,8,1,6,7,4,5,2]=>[8,3,6,1,4,7,2,5]=>{{1,8},{2,3,6,7},{4},{5}}=>{{1,8},{2,3,6,7},{4},{5}}
[2,1,8,6,7,4,5,3]=>[8,2,6,1,4,3,7,5]=>{{1,8},{2},{3,6},{4},{5},{7}}=>{{1,8},{2},{3,6},{4},{5},{7}}
[2,1,7,6,8,4,3,5]=>[2,7,6,1,4,3,8,5]=>{{1,2,7,8},{3,6},{4},{5}}=>{{1,2,7,8},{3,6},{4},{5}}
[3,7,1,6,8,4,2,5]=>[3,7,6,1,4,8,2,5]=>{{1,3,6,8},{2,7},{4},{5}}=>{{1,3,6,8},{2,7},{4},{5}}
[4,7,6,1,8,3,2,5]=>[4,7,6,1,8,3,2,5]=>{{1,4},{2,7},{3,6},{5,8}}=>{{1,4},{2,7},{3,6},{5,8}}
[5,7,6,8,1,3,2,4]=>[5,7,6,8,1,3,2,4]=>{{1,5},{2,7},{3,6},{4,8}}=>{{1,5},{2,7},{3,6},{4,8}}
[5,4,7,2,1,8,3,6]=>[5,7,2,8,4,3,6,1]=>{{1,5},{2,7},{3},{4,8},{6}}=>{{1,5},{2,7},{3},{4,8},{6}}
[6,4,7,2,8,1,3,5]=>[6,7,8,2,4,3,5,1]=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}
[7,4,6,2,8,3,1,5]=>[4,7,6,2,8,3,5,1]=>{{1,4},{2,7},{3,6},{5,8}}=>{{1,4},{2,7},{3,6},{5,8}}
[8,4,6,2,7,3,5,1]=>[8,4,6,2,7,3,5,1]=>{{1,8},{2,4},{3,6},{5,7}}=>{{1,8},{2,4},{3,6},{5,7}}
[8,3,2,6,7,4,5,1]=>[8,3,6,2,4,7,5,1]=>{{1,8},{2,3,6,7},{4},{5}}=>{{1,8},{2,3,6,7},{4},{5}}
[7,3,2,6,8,4,1,5]=>[3,7,6,2,4,8,5,1]=>{{1,3,6,8},{2,7},{4},{5}}=>{{1,3,6,8},{2,7},{4},{5}}
[6,3,2,7,8,1,4,5]=>[6,7,8,3,4,5,2,1]=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}
[5,3,2,7,1,8,4,6]=>[5,7,3,8,4,6,2,1]=>{{1,5},{2,7},{3},{4,8},{6}}=>{{1,5},{2,7},{3},{4,8},{6}}
[4,3,2,1,7,8,5,6]=>[4,7,3,5,8,6,2,1]=>{{1,4,5,8},{2,7},{3},{6}}=>{{1,4,5,8},{2,7},{3},{6}}
[3,4,1,2,8,7,6,5]=>[8,7,3,1,4,6,2,5]=>{{1,8},{2,7},{3},{4},{5},{6}}=>{{1,8},{2,7},{3},{4},{5},{6}}
[5,3,2,8,1,7,6,4]=>[5,3,2,8,1,7,6,4]=>{{1,5},{2,3},{4,8},{6,7}}=>{{1,5},{2,3},{4,8},{6,7}}
[6,3,2,8,7,1,5,4]=>[6,3,8,2,1,7,5,4]=>{{1,6,7},{2,3,8},{4},{5}}=>{{1,6,7},{2,3,8},{4},{5}}
[7,3,2,8,6,5,1,4]=>[7,8,3,2,1,6,5,4]=>{{1,7},{2,8},{3},{4},{5},{6}}=>{{1,7},{2,8},{3},{4},{5},{6}}
[8,4,7,2,6,5,3,1]=>[8,7,6,4,5,2,3,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[7,4,8,2,6,5,1,3]=>[7,8,4,2,6,1,5,3]=>{{1,7},{2,8},{3,4},{5,6}}=>{{1,7},{2,8},{3,4},{5,6}}
[6,4,8,2,7,1,5,3]=>[6,4,8,2,7,1,5,3]=>{{1,6},{2,4},{3,8},{5,7}}=>{{1,6},{2,4},{3,8},{5,7}}
[5,4,8,2,1,7,6,3]=>[5,4,2,8,7,1,6,3]=>{{1,5,7},{2,4,8},{3},{6}}=>{{1,5,7},{2,4,8},{3},{6}}
[4,5,8,1,2,7,6,3]=>[8,7,4,5,6,1,2,3]=>{{1,8},{2,7},{3,4,5,6}}=>{{1,8},{2,7},{3,4,5,6}}
[3,5,1,8,2,7,6,4]=>[8,7,3,5,1,6,2,4]=>{{1,8},{2,7},{3},{4,5},{6}}=>{{1,8},{2,7},{3},{4,5},{6}}
[2,1,5,8,3,7,6,4]=>[8,7,2,5,1,3,6,4]=>{{1,8},{2,7},{3},{4,5},{6}}=>{{1,8},{2,7},{3},{4,5},{6}}
[2,1,6,8,7,3,5,4]=>[8,2,6,5,1,3,7,4]=>{{1,8},{2},{3,6},{4,5},{7}}=>{{1,8},{2},{3,6},{4,5},{7}}
[3,6,1,8,7,2,5,4]=>[8,3,6,5,1,7,2,4]=>{{1,8},{2,3,6,7},{4,5}}=>{{1,8},{2,3,6,7},{4,5}}
[4,6,8,1,7,2,5,3]=>[8,4,6,5,7,1,2,3]=>{{1,8},{2,4,5,7},{3,6}}=>{{1,8},{2,4,5,7},{3,6}}
[5,6,8,7,1,2,4,3]=>[8,5,6,7,4,1,2,3]=>{{1,8},{2,5},{3,6},{4,7}}=>{{1,8},{2,5},{3,6},{4,7}}
[6,5,8,7,2,1,4,3]=>[6,5,8,7,2,1,4,3]=>{{1,6},{2,5},{3,8},{4,7}}=>{{1,6},{2,5},{3,8},{4,7}}
[7,5,8,6,2,4,1,3]=>[7,8,5,6,2,1,4,3]=>{{1,7},{2,8},{3,5},{4,6}}=>{{1,7},{2,8},{3,5},{4,6}}
[8,5,7,6,2,4,3,1]=>[8,7,5,6,4,2,3,1]=>{{1,8},{2,7},{3,5},{4,6}}=>{{1,8},{2,7},{3,5},{4,6}}
[5,7,8,6,1,4,2,3]=>[5,7,6,8,4,1,2,3]=>{{1,5},{2,7},{3,6},{4,8}}=>{{1,5},{2,7},{3,6},{4,8}}
[4,7,8,1,6,5,2,3]=>[4,7,6,5,8,1,2,3]=>{{1,4,5,8},{2,7},{3,6}}=>{{1,4,5,8},{2,7},{3,6}}
[3,7,1,8,6,5,2,4]=>[3,7,6,5,1,8,2,4]=>{{1,3,6,8},{2,7},{4,5}}=>{{1,3,6,8},{2,7},{4,5}}
[2,1,7,8,6,5,3,4]=>[2,7,6,5,1,3,8,4]=>{{1,2,7,8},{3,6},{4,5}}=>{{1,2,7,8},{3,6},{4,5}}
[3,8,1,7,6,5,4,2]=>[8,7,6,5,3,4,1,2]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,8},{2,7},{3,6},{4,5}}
[4,8,7,1,6,5,3,2]=>[8,7,6,4,5,3,1,2]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[5,8,7,6,1,4,3,2]=>[8,7,5,6,4,3,1,2]=>{{1,8},{2,7},{3,5},{4,6}}=>{{1,8},{2,7},{3,5},{4,6}}
[6,8,7,5,4,1,3,2]=>[8,6,7,5,4,3,1,2]=>{{1,8},{2,6},{3,7},{4,5}}=>{{1,8},{2,6},{3,7},{4,5}}
[2,1,4,3,6,5,8,7,10,9]=>[2,1,4,3,6,5,8,7,10,9]=>{{1,2},{3,4},{5,6},{7,8},{9,10}}=>{{1,2},{3,4},{5,6},{7,8},{9,10}}
[6,7,8,9,10,1,2,3,4,5]=>[6,7,8,9,10,1,2,3,4,5]=>{{1,6},{2,7},{3,8},{4,9},{5,10}}=>{{1,6},{2,7},{3,8},{4,9},{5,10}}
[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>{{1,10},{2,9},{3,8},{4,7},{5,6}}=>{{1,10},{2,9},{3,8},{4,7},{5,6}}
[3,2,5,1,4,6,7,8]=>[3,5,6,7,8,2,4,1]=>{{1,3,6},{2,5,8},{4,7}}=>{{1,4,7},{2,5},{3,6,8}}
[4,2,5,1,3,6,7,8]=>[4,5,6,7,8,2,3,1]=>{{1,4,7},{2,5,8},{3,6}}=>{{1,4,7},{2,5,8},{3,6}}
[5,2,4,1,3,6,7,8]=>[2,5,6,7,8,1,4,3]=>{{1,2,5,8},{3,6},{4,7}}=>{{1,4,7,8},{2,5},{3,6}}
[5,3,6,1,2,4,7,8]=>[1,5,6,7,8,3,4,2]=>{{1},{2,5,8},{3,6},{4,7}}=>{{1,4,7},{2,5},{3,6},{8}}
[6,5,8,1,2,3,4,7]=>[1,2,3,6,8,5,7,4]=>{{1},{2},{3},{4,6},{5,8},{7}}=>{{1,4},{2},{3,5},{6},{7},{8}}
[7,5,8,1,2,3,4,6]=>[1,2,3,7,8,5,6,4]=>{{1},{2},{3},{4,7},{5,8},{6}}=>{{1,4},{2,5},{3},{6},{7},{8}}
[8,2,4,1,3,5,6,7]=>[2,4,5,6,8,1,7,3]=>{{1,2,4,6},{3,5,8},{7}}=>{{1,4,6},{2},{3,5,7,8}}
[8,4,7,1,2,3,5,6]=>[1,2,4,5,8,3,7,6]=>{{1},{2},{3,4,5,8},{6},{7}}=>{{1,4,5,6},{2},{3},{7},{8}}
[5,2,4,7,1,3,6,8]=>[2,5,7,8,1,4,6,3]=>{{1,2,5},{3,7},{4,8},{6}}=>{{1,5},{2,6},{3},{4,7,8}}
[5,2,6,7,1,3,4,8]=>[5,6,7,8,2,3,4,1]=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,5},{2,6},{3,7},{4,8}}
[5,3,6,7,1,2,4,8]=>[5,6,7,8,1,3,4,2]=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,5},{2,6},{3,7},{4,8}}
[4,2,6,8,1,3,5,7]=>[2,4,6,8,3,5,7,1]=>{{1,2,4,8},{3,6},{5},{7}}=>{{1,5,7,8},{2},{3,6},{4}}
[6,2,4,8,1,3,5,7]=>[2,4,6,8,1,5,7,3]=>{{1,2,4,8},{3,6},{5},{7}}=>{{1,5,7,8},{2},{3,6},{4}}
[5,4,7,8,1,2,3,6]=>[1,5,7,8,2,4,6,3]=>{{1},{2,5},{3,7},{4,8},{6}}=>{{1,5},{2,6},{3},{4,7},{8}}
[6,3,7,8,1,2,4,5]=>[1,6,7,8,3,4,5,2]=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1,5},{2,6},{3,7},{4},{8}}
[8,2,4,6,1,3,5,7]=>[2,4,6,8,1,3,7,5]=>{{1,2,4,8},{3,6},{5},{7}}=>{{1,5,7,8},{2},{3,6},{4}}
[4,6,3,5,1,2,7,8]=>[4,6,7,8,3,5,1,2]=>{{1,4,8},{2,6},{3,7},{5}}=>{{1,5,8},{2,6},{3,7},{4}}
[3,7,2,6,1,4,5,8]=>[3,4,7,8,2,6,1,5]=>{{1,3,7},{2,4,8},{5},{6}}=>{{1,5,7},{2,6,8},{3},{4}}
[4,7,3,6,1,2,5,8]=>[1,4,7,8,3,6,2,5]=>{{1},{2,4,8},{3,7},{5},{6}}=>{{1,5,7},{2,6},{3},{4},{8}}
[3,8,2,6,1,4,5,7]=>[3,4,6,8,2,7,1,5]=>{{1,3,6,7},{2,4,8},{5}}=>{{1,5,7},{2,3,6,8},{4}}
[6,8,3,5,1,2,4,7]=>[1,3,6,8,5,7,2,4]=>{{1},{2,3,6,7},{4,8},{5}}=>{{1,5},{2,3,6,7},{4},{8}}
[3,8,2,7,1,4,5,6]=>[3,4,5,8,2,7,1,6]=>{{1,3,5},{2,4,8},{6,7}}=>{{1,5,7},{2,3},{4,6,8}}
[6,8,2,7,1,3,4,5]=>[2,3,6,8,4,7,1,5]=>{{1,2,3,6,7},{4,8},{5}}=>{{1,5},{2,3,6,7,8},{4}}
[5,3,2,6,1,4,7,8]=>[5,6,7,8,3,4,2,1]=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,5},{2,6},{3,7},{4,8}}
[6,4,3,7,1,2,5,8]=>[1,6,7,8,4,5,3,2]=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1,5},{2,6},{3,7},{4},{8}}
[6,5,3,7,1,2,4,8]=>[1,6,7,8,3,5,4,2]=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1,5},{2,6},{3,7},{4},{8}}
[7,6,3,5,1,2,4,8]=>[1,3,7,8,2,6,5,4]=>{{1},{2,3,7},{4,8},{5},{6}}=>{{1,5},{2,6,7},{3},{4},{8}}
[8,3,2,6,1,4,5,7]=>[3,4,6,8,2,7,5,1]=>{{1,3,6,7},{2,4,8},{5}}=>{{1,5,7},{2,3,6,8},{4}}
[8,6,3,7,1,2,4,5]=>[1,3,6,8,4,7,5,2]=>{{1},{2,3,6,7},{4,8},{5}}=>{{1,5},{2,3,6,7},{4},{8}}
[8,7,2,5,1,3,4,6]=>[2,3,5,8,1,7,6,4]=>{{1,2,3,5},{4,8},{6,7}}=>{{1,5},{2,3},{4,6,7,8}}
[8,7,3,5,1,2,4,6]=>[1,3,5,8,2,7,6,4]=>{{1},{2,3,5},{4,8},{6,7}}=>{{1,5},{2,3},{4,6,7},{8}}
[8,7,2,6,1,3,4,5]=>[2,3,4,8,1,7,6,5]=>{{1,2,3,4,8},{5},{6,7}}=>{{1,5,6,7,8},{2,3},{4}}
[8,7,3,6,1,2,4,5]=>[1,3,4,8,2,7,6,5]=>{{1},{2,3,4,8},{5},{6,7}}=>{{1,5,6,7},{2,3},{4},{8}}
[8,7,4,6,1,2,3,5]=>[1,2,4,8,3,7,6,5]=>{{1},{2},{3,4,8},{5},{6,7}}=>{{1,5,6},{2,3},{4},{7},{8}}
[3,6,2,5,8,1,4,7]=>[3,6,8,2,5,7,1,4]=>{{1,3,8},{2,6,7},{4},{5}}=>{{1,6,8},{2,3,7},{4},{5}}
[3,7,2,6,8,1,4,5]=>[3,7,8,2,4,6,1,5]=>{{1,3,8},{2,7},{4},{5},{6}}=>{{1,6,8},{2,7},{3},{4},{5}}
[6,7,3,5,8,1,2,4]=>[6,7,8,1,3,5,2,4]=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}
[3,8,2,6,7,1,4,5]=>[3,6,8,2,4,7,1,5]=>{{1,3,8},{2,6,7},{4},{5}}=>{{1,6,8},{2,3,7},{4},{5}}
[6,4,3,7,8,1,2,5]=>[6,7,8,1,4,5,3,2]=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}
[7,6,3,5,8,1,2,4]=>[3,7,8,1,2,6,5,4]=>{{1,3,8},{2,7},{4},{5},{6}}=>{{1,6,8},{2,7},{3},{4},{5}}
[8,3,2,5,7,1,4,6]=>[3,5,8,2,4,7,6,1]=>{{1,3,8},{2,5},{4},{6,7}}=>{{1,6,8},{2,3},{4,7},{5}}
[8,5,2,4,7,1,3,6]=>[2,5,8,1,4,7,6,3]=>{{1,2,5},{3,8},{4},{6,7}}=>{{1,6},{2,3},{4,7,8},{5}}
[8,3,2,6,7,1,4,5]=>[3,6,8,2,4,7,5,1]=>{{1,3,8},{2,6,7},{4},{5}}=>{{1,6,8},{2,3,7},{4},{5}}
[8,6,3,5,7,1,2,4]=>[3,6,8,1,2,7,5,4]=>{{1,3,8},{2,6,7},{4},{5}}=>{{1,6,8},{2,3,7},{4},{5}}
[8,7,2,4,6,1,3,5]=>[2,4,8,1,3,7,6,5]=>{{1,2,4},{3,8},{5},{6,7}}=>{{1,6},{2,3},{4},{5,7,8}}
[8,7,3,4,6,1,2,5]=>[3,4,8,1,2,7,6,5]=>{{1,3,8},{2,4},{5},{6,7}}=>{{1,6,8},{2,3},{4},{5,7}}
[7,5,8,2,6,1,3,4]=>[2,7,8,5,6,3,4,1]=>{{1,2,7},{3,8},{4,5,6}}=>{{1,6},{2,7,8},{3,4,5}}
[8,3,7,2,6,1,4,5]=>[3,4,8,2,7,1,6,5]=>{{1,3,8},{2,4},{5,7},{6}}=>{{1,6,8},{2,4},{3},{5,7}}
[8,4,7,2,6,1,3,5]=>[2,4,8,3,7,1,6,5]=>{{1,2,4},{3,8},{5,7},{6}}=>{{1,6},{2,4},{3},{5,7,8}}
[8,4,7,3,6,1,2,5]=>[1,4,8,3,7,2,6,5]=>{{1},{2,4},{3,8},{5,7},{6}}=>{{1,6},{2,4},{3},{5,7},{8}}
[8,6,7,2,4,1,3,5]=>[2,6,8,4,7,1,5,3]=>{{1,2,6},{3,8},{4},{5,7}}=>{{1,6},{2,4},{3,7,8},{5}}
[8,6,7,2,5,1,3,4]=>[2,6,8,3,7,1,5,4]=>{{1,2,6},{3,8},{4},{5,7}}=>{{1,6},{2,4},{3,7,8},{5}}
[8,6,7,3,5,1,2,4]=>[1,6,8,3,7,2,5,4]=>{{1},{2,6},{3,8},{4},{5,7}}=>{{1,6},{2,4},{3,7},{5},{8}}
[8,5,3,2,7,1,4,6]=>[3,5,8,4,7,6,2,1]=>{{1,3,8},{2,5,7},{4},{6}}=>{{1,6,8},{2,4,7},{3},{5}}
[8,7,3,2,5,1,4,6]=>[3,5,8,2,7,6,4,1]=>{{1,3,8},{2,5,7},{4},{6}}=>{{1,6,8},{2,4,7},{3},{5}}
[8,7,5,2,6,1,3,4]=>[2,5,8,3,7,6,4,1]=>{{1,2,5,7},{3,8},{4},{6}}=>{{1,6},{2,4,7,8},{3},{5}}
[8,7,5,3,6,1,2,4]=>[1,5,8,3,7,6,4,2]=>{{1},{2,5,7},{3,8},{4},{6}}=>{{1,6},{2,4,7},{3},{5},{8}}
[8,7,6,2,5,1,3,4]=>[2,3,8,1,7,6,5,4]=>{{1,2,3,8},{4},{5,7},{6}}=>{{1,6,7,8},{2,4},{3},{5}}
[8,7,6,3,5,1,2,4]=>[1,3,8,2,7,6,5,4]=>{{1},{2,3,8},{4},{5,7},{6}}=>{{1,6,7},{2,4},{3},{5},{8}}
[4,8,3,7,2,6,1,5]=>[4,8,3,7,2,6,1,5]=>{{1,4,7},{2,8},{3},{5},{6}}=>{{1,7},{2,5,8},{3},{4},{6}}
[5,8,3,7,2,6,1,4]=>[5,8,3,7,2,6,1,4]=>{{1,5},{2,8},{3},{4,7},{6}}=>{{1,7},{2,5},{3},{4,8},{6}}
[5,8,4,7,2,6,1,3]=>[5,8,4,7,2,6,1,3]=>{{1,5},{2,8},{3,4,7},{6}}=>{{1,7},{2,5,6},{3},{4,8}}
[5,8,4,7,3,6,1,2]=>[5,8,4,7,3,6,1,2]=>{{1,5},{2,8},{3,4,7},{6}}=>{{1,7},{2,5,6},{3},{4,8}}
[6,8,3,7,2,5,1,4]=>[6,8,3,7,2,5,1,4]=>{{1,6},{2,8},{3},{4,7},{5}}=>{{1,7},{2,5},{3,8},{4},{6}}
[6,8,4,7,2,5,1,3]=>[6,8,4,7,2,5,1,3]=>{{1,6},{2,8},{3,4,7},{5}}=>{{1,7},{2,5,6},{3,8},{4}}
[6,8,4,7,3,5,1,2]=>[6,8,4,7,3,5,1,2]=>{{1,6},{2,8},{3,4,7},{5}}=>{{1,7},{2,5,6},{3,8},{4}}
[6,8,5,7,2,4,1,3]=>[6,8,5,7,2,4,1,3]=>{{1,6},{2,8},{3,5},{4,7}}=>{{1,7},{2,5},{3,8},{4,6}}
[6,8,5,7,3,4,1,2]=>[6,8,5,7,3,4,1,2]=>{{1,6},{2,8},{3,5},{4,7}}=>{{1,7},{2,5},{3,8},{4,6}}
[7,8,3,6,2,5,1,4]=>[7,8,3,6,2,5,1,4]=>{{1,7},{2,8},{3},{4,6},{5}}=>{{1,7},{2,8},{3,5},{4},{6}}
[7,8,4,6,2,5,1,3]=>[7,8,4,6,2,5,1,3]=>{{1,7},{2,8},{3,4,6},{5}}=>{{1,7},{2,8},{3,5,6},{4}}
[7,8,4,6,3,5,1,2]=>[7,8,4,6,3,5,1,2]=>{{1,7},{2,8},{3,4,6},{5}}=>{{1,7},{2,8},{3,5,6},{4}}
[7,8,5,6,2,4,1,3]=>[7,8,5,6,2,4,1,3]=>{{1,7},{2,8},{3,5},{4,6}}=>{{1,7},{2,8},{3,5},{4,6}}
[8,6,4,7,2,5,1,3]=>[6,8,4,7,2,5,3,1]=>{{1,6},{2,8},{3,4,7},{5}}=>{{1,7},{2,5,6},{3,8},{4}}
[8,6,4,7,3,5,1,2]=>[6,8,4,7,1,5,3,2]=>{{1,6},{2,8},{3,4,7},{5}}=>{{1,7},{2,5,6},{3,8},{4}}
[8,7,3,6,2,5,1,4]=>[3,8,2,7,1,6,5,4]=>{{1,3},{2,8},{4,7},{5},{6}}=>{{1,7},{2,5},{3},{4},{6,8}}
[8,7,4,6,2,5,1,3]=>[4,8,2,7,1,6,5,3]=>{{1,4,7},{2,8},{3},{5},{6}}=>{{1,7},{2,5,8},{3},{4},{6}}
[8,6,4,3,2,7,1,5]=>[6,8,4,7,5,3,2,1]=>{{1,6},{2,8},{3,4,7},{5}}=>{{1,7},{2,5,6},{3,8},{4}}
[8,7,4,3,2,6,1,5]=>[4,8,3,7,6,5,2,1]=>{{1,4,7},{2,8},{3},{5,6}}=>{{1,7},{2,5,8},{3,4},{6}}
[8,7,5,4,2,6,1,3]=>[5,8,2,7,6,4,3,1]=>{{1,5,6},{2,8},{3},{4,7}}=>{{1,7},{2,5},{3,4,8},{6}}
[8,7,6,3,2,5,1,4]=>[3,8,2,7,6,5,4,1]=>{{1,3},{2,8},{4,7},{5,6}}=>{{1,7},{2,5},{3,4},{6,8}}
[8,1,2,3,4,7,5,6]=>[1,8,2,3,4,5,7,6]=>{{1},{2,8},{3},{4},{5},{6},{7}}=>{{1,7},{2},{3},{4},{5},{6},{8}}
[8,1,2,3,6,4,5,7]=>[1,2,8,3,4,6,7,5]=>{{1},{2},{3,8},{4},{5},{6},{7}}=>{{1,6},{2},{3},{4},{5},{7},{8}}
[8,1,2,3,6,7,4,5]=>[6,8,1,2,3,4,7,5]=>{{1,6},{2,8},{3},{4},{5},{7}}=>{{1,7},{2},{3,8},{4},{5},{6}}
[8,1,2,5,3,4,6,7]=>[1,2,3,8,5,6,7,4]=>{{1},{2},{3},{4,8},{5},{6},{7}}=>{{1,5},{2},{3},{4},{6},{7},{8}}
[3,1,7,2,6,4,8,5]=>[3,1,7,2,6,4,8,5]=>{{1,3,7,8},{2},{4},{5,6}}=>{{1,2,6,8},{3,4},{5},{7}}
[3,1,5,2,8,7,4,6]=>[1,8,3,2,5,4,7,6]=>{{1},{2,8},{3},{4},{5},{6},{7}}=>{{1,7},{2},{3},{4},{5},{6},{8}}
[8,1,4,2,3,5,6,7]=>[1,2,4,5,8,6,7,3]=>{{1},{2},{3,4,5,8},{6},{7}}=>{{1,4,5,6},{2},{3},{7},{8}}
[8,1,5,2,3,4,6,7]=>[1,2,3,5,8,6,7,4]=>{{1},{2},{3},{4,5,8},{6},{7}}=>{{1,4,5},{2},{3},{6},{7},{8}}
[7,1,5,2,3,4,8,6]=>[7,1,2,3,8,5,6,4]=>{{1,7},{2},{3},{4},{5,8},{6}}=>{{1,4},{2,8},{3},{5},{6},{7}}
[8,1,5,2,3,7,4,6]=>[1,5,2,3,8,4,7,6]=>{{1},{2,5,8},{3},{4},{6},{7}}=>{{1,4,7},{2},{3},{5},{6},{8}}
[6,1,5,2,3,7,8,4]=>[6,1,2,3,7,5,8,4]=>{{1,6},{2},{3},{4},{5,7,8}}=>{{1,2,4},{3,8},{5},{6},{7}}
[5,1,4,2,7,3,8,6]=>[5,1,7,2,8,4,6,3]=>{{1,5,8},{2},{3,7},{4},{6}}=>{{1,4,8},{2,6},{3},{5},{7}}
[8,1,5,2,7,3,4,6]=>[1,2,5,3,8,4,7,6]=>{{1},{2},{3,5,8},{4},{6},{7}}=>{{1,4,6},{2},{3},{5},{7},{8}}
[3,1,7,6,2,4,8,5]=>[3,1,2,7,6,4,8,5]=>{{1,3},{2},{4,7,8},{5,6}}=>{{1,2,5},{3,4},{6,8},{7}}
[8,1,6,5,2,3,4,7]=>[1,2,3,8,6,5,7,4]=>{{1},{2},{3},{4,8},{5,6},{7}}=>{{1,5},{2},{3,4},{6},{7},{8}}
[7,1,4,5,6,2,8,3]=>[4,1,7,2,5,6,8,3]=>{{1,4},{2},{3,7,8},{5},{6}}=>{{1,2,6},{3},{4},{5,8},{7}}
[8,1,4,5,6,7,2,3]=>[4,8,1,2,5,6,7,3]=>{{1,4},{2,8},{3},{5},{6},{7}}=>{{1,7},{2},{3},{4},{5,8},{6}}
[2,5,1,3,8,7,4,6]=>[2,8,3,1,5,7,4,6]=>{{1,2,8},{3},{4},{5},{6,7}}=>{{1,7,8},{2,3},{4},{5},{6}}
[2,4,1,8,3,7,5,6]=>[2,8,4,5,1,7,3,6]=>{{1,2,8},{3,4,5},{6,7}}=>{{1,7,8},{2,3},{4,5,6}}
[2,8,1,6,3,4,5,7]=>[2,3,4,8,6,7,1,5]=>{{1,2,3,4,8},{5,6,7}}=>{{1,5,6,7,8},{2,3,4}}
[2,8,1,6,3,7,4,5]=>[2,3,1,8,6,7,4,5]=>{{1,2,3},{4,8},{5,6,7}}=>{{1,5},{2,3,4},{6,7,8}}
[2,6,1,5,3,7,8,4]=>[2,1,6,7,5,8,3,4]=>{{1,2},{3,6,8},{4,7},{5}}=>{{1,3,6},{2,5},{4},{7,8}}
[2,4,1,8,6,3,5,7]=>[2,4,8,6,1,7,3,5]=>{{1,2,4,6,7},{3,8},{5}}=>{{1,6},{2,3,5,7,8},{4}}
[2,7,1,5,6,3,8,4]=>[2,1,7,5,6,8,3,4]=>{{1,2},{3,7},{4,5,6,8}}=>{{1,3,4,5},{2,6},{7,8}}
[2,4,1,8,6,7,3,5]=>[2,8,1,4,3,6,5,7]=>{{1,2,8},{3},{4},{5},{6},{7}}=>{{1,7,8},{2},{3},{4},{5},{6}}
[5,3,1,2,7,4,8,6]=>[5,1,7,3,4,8,6,2]=>{{1,5},{2},{3,7},{4},{6,8}}=>{{1,3},{2,6},{4,8},{5},{7}}
[8,4,1,2,6,7,3,5]=>[4,6,1,2,3,8,7,5]=>{{1,4},{2,6,8},{3},{5},{7}}=>{{1,3,7},{2},{4},{5,8},{6}}
[5,8,1,2,6,7,3,4]=>[5,8,1,2,6,7,3,4]=>{{1,5,6,7},{2,8},{3},{4}}=>{{1,7},{2,3,4,8},{5},{6}}
[5,4,1,2,6,7,8,3]=>[5,1,2,6,7,8,4,3]=>{{1,5,7},{2},{3},{4,6,8}}=>{{1,3,5},{2,4,8},{6},{7}}
[4,3,1,6,2,8,5,7]=>[1,4,3,6,5,8,7,2]=>{{1},{2,4,6,8},{3},{5},{7}}=>{{1,3,5,7},{2},{4},{6},{8}}
[6,8,1,5,2,3,4,7]=>[1,2,3,6,5,8,4,7]=>{{1},{2},{3},{4,6,8},{5},{7}}=>{{1,3,5},{2},{4},{6},{7},{8}}
[8,7,1,5,2,3,4,6]=>[1,2,3,8,5,7,6,4]=>{{1},{2},{3},{4,8},{5},{6,7}}=>{{1,5},{2,3},{4},{6},{7},{8}}
[6,8,1,5,2,7,3,4]=>[1,6,2,8,5,7,3,4]=>{{1},{2,6,7},{3},{4,8},{5}}=>{{1,5},{2,3,7},{4},{6},{8}}
[8,3,1,5,6,2,4,7]=>[3,5,6,1,2,8,7,4]=>{{1,3,6,8},{2,5},{4},{7}}=>{{1,3,6,8},{2},{4,7},{5}}
[7,8,1,5,6,2,3,4]=>[1,7,8,2,5,6,3,4]=>{{1},{2,7},{3,8},{4},{5},{6}}=>{{1,6},{2,7},{3},{4},{5},{8}}
[8,4,1,5,6,7,2,3]=>[4,5,1,2,6,8,7,3]=>{{1,4},{2,5,6,8},{3},{7}}=>{{1,3,4,7},{2},{5,8},{6}}
[2,3,7,1,6,4,8,5]=>[2,1,7,6,8,3,4,5]=>{{1,2},{3,7},{4,6},{5,8}}=>{{1,4},{2,6},{3,5},{7,8}}
[2,3,5,1,8,7,4,6]=>[2,8,5,1,7,3,4,6]=>{{1,2,8},{3,5,7},{4},{6}}=>{{1,7,8},{2,4,6},{3},{5}}
[2,6,4,1,3,8,5,7]=>[2,4,1,6,8,5,3,7]=>{{1,2,4,6},{3},{5,8},{7}}=>{{1,4},{2},{3,5,7,8},{6}}
[2,6,4,1,3,7,8,5]=>[2,1,6,7,8,4,3,5]=>{{1,2},{3,6},{4,7},{5,8}}=>{{1,4},{2,5},{3,6},{7,8}}
[2,8,7,1,3,4,5,6]=>[2,3,4,5,8,7,1,6]=>{{1,2,3,4,5,8},{6,7}}=>{{1,4,5,6,7,8},{2,3}}
[2,6,5,1,3,7,8,4]=>[2,1,6,7,8,5,3,4]=>{{1,2},{3,6},{4,7},{5,8}}=>{{1,4},{2,5},{3,6},{7,8}}
[2,5,4,1,8,7,3,6]=>[2,5,4,1,8,7,3,6]=>{{1,2,5,8},{3,4},{6,7}}=>{{1,4,7,8},{2,3},{5,6}}
[2,8,4,1,6,7,3,5]=>[2,4,1,3,8,6,5,7]=>{{1,2,4},{3},{5,8},{6},{7}}=>{{1,4},{2},{3},{5,7,8},{6}}
[7,3,5,1,2,4,8,6]=>[3,1,2,7,8,5,6,4]=>{{1,3},{2},{4,7},{5,8},{6}}=>{{1,4},{2,5},{3},{6,8},{7}}
[5,3,4,1,8,2,6,7]=>[3,5,6,1,8,4,7,2]=>{{1,3,6},{2,5,8},{4},{7}}=>{{1,4,7},{2},{3,6,8},{5}}
[5,3,4,1,7,2,8,6]=>[3,1,5,4,7,6,8,2]=>{{1,3,5,7,8},{2},{4},{6}}=>{{1,2,4,6,8},{3},{5},{7}}
[8,3,4,1,7,2,5,6]=>[3,4,5,1,8,2,7,6]=>{{1,3,5,8},{2,4},{6},{7}}=>{{1,4,6,8},{2},{3},{5,7}}
[7,3,4,1,6,2,8,5]=>[3,1,4,2,7,6,8,5]=>{{1,3,4},{2},{5,7,8},{6}}=>{{1,2,4},{3},{5,6,8},{7}}
[8,3,5,1,6,2,4,7]=>[3,5,6,1,8,2,7,4]=>{{1,3,6},{2,5,8},{4},{7}}=>{{1,4,7},{2},{3,6,8},{5}}
[7,3,5,1,6,2,8,4]=>[3,1,5,2,7,6,8,4]=>{{1,3,5,7,8},{2},{4},{6}}=>{{1,2,4,6,8},{3},{5},{7}}
[7,5,4,1,6,2,8,3]=>[5,1,7,2,8,6,4,3]=>{{1,5,8},{2},{3,7},{4},{6}}=>{{1,4,8},{2,6},{3},{5},{7}}
[2,3,8,6,1,4,5,7]=>[2,3,4,8,6,1,5,7]=>{{1,2,3,4,8},{5,6},{7}}=>{{1,5,6,7,8},{2},{3,4}}
[2,3,7,6,1,4,8,5]=>[2,1,7,8,6,3,4,5]=>{{1,2},{3,7},{4,8},{5,6}}=>{{1,5},{2,6},{3,4},{7,8}}
[2,7,6,5,1,3,8,4]=>[2,1,7,8,6,5,3,4]=>{{1,2},{3,7},{4,8},{5,6}}=>{{1,5},{2,6},{3,4},{7,8}}
[2,8,4,6,1,7,3,5]=>[2,4,1,8,3,6,5,7]=>{{1,2,4,8},{3},{5},{6},{7}}=>{{1,5,7,8},{2},{3},{4},{6}}
[8,3,6,5,1,7,2,4]=>[3,6,1,8,7,2,5,4]=>{{1,3},{2,6},{4,8},{5,7}}=>{{1,5},{2,4},{3,7},{6,8}}
[2,3,4,8,7,1,5,6]=>[2,3,8,7,1,4,5,6]=>{{1,2,3,8},{4,7},{5},{6}}=>{{1,6,7,8},{2,5},{3},{4}}
[2,3,8,7,6,1,4,5]=>[2,3,8,7,6,1,4,5]=>{{1,2,3,8},{4,7},{5,6}}=>{{1,6,7,8},{2,5},{3,4}}
[2,8,4,7,6,1,3,5]=>[2,4,8,7,1,6,3,5]=>{{1,2,4,7},{3,8},{5},{6}}=>{{1,6},{2,5,7,8},{3},{4}}
[8,3,4,7,6,1,2,5]=>[3,4,8,7,1,2,6,5]=>{{1,3,8},{2,4,7},{5},{6}}=>{{1,6,8},{2,5,7},{3},{4}}
[7,3,4,5,6,1,8,2]=>[3,1,7,4,5,6,8,2]=>{{1,3,7,8},{2},{4},{5},{6}}=>{{1,2,6,8},{3},{4},{5},{7}}
[2,3,4,5,8,7,1,6]=>[2,8,7,1,3,4,5,6]=>{{1,2,8},{3,7},{4},{5},{6}}=>{{1,7,8},{2,6},{3},{4},{5}}
[2,8,4,5,6,7,1,3]=>[2,8,1,4,5,6,3,7]=>{{1,2,8},{3},{4},{5},{6},{7}}=>{{1,7,8},{2},{3},{4},{5},{6}}
[9,1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,9,8]=>{{1},{2},{3},{4},{5},{6},{7},{8,9}}=>{{1,2},{3},{4},{5},{6},{7},{8},{9}}
[8,1,2,3,4,5,6,9,7]=>[8,1,2,3,4,5,6,9,7]=>{{1,8,9},{2},{3},{4},{5},{6},{7}}=>{{1,2,9},{3},{4},{5},{6},{7},{8}}
[7,1,2,3,4,5,8,9,6]=>[7,1,2,3,4,5,8,9,6]=>{{1,7,8,9},{2},{3},{4},{5},{6}}=>{{1,2,3,9},{4},{5},{6},{7},{8}}
[6,1,2,3,4,7,8,9,5]=>[6,1,2,3,4,7,8,9,5]=>{{1,6,7,8,9},{2},{3},{4},{5}}=>{{1,2,3,4,9},{5},{6},{7},{8}}
[3,1,5,2,7,4,9,6,8]=>[1,3,2,5,4,7,6,9,8]=>{{1},{2,3},{4,5},{6,7},{8,9}}=>{{1,2},{3,4},{5,6},{7,8},{9}}
[3,1,4,5,6,7,8,9,2]=>[3,1,4,5,6,7,8,9,2]=>{{1,3,4,5,6,7,8,9},{2}}=>{{1,2,3,4,5,6,7,9},{8}}
[2,9,1,3,4,5,6,7,8]=>[2,3,4,5,6,7,9,1,8]=>{{1,2,3,4,5,6,7,9},{8}}=>{{1,3,4,5,6,7,8,9},{2}}
[2,4,1,6,3,8,5,9,7]=>[2,1,4,3,6,5,8,7,9]=>{{1,2},{3,4},{5,6},{7,8},{9}}=>{{1},{2,3},{4,5},{6,7},{8,9}}
[2,3,4,5,6,7,9,1,8]=>[2,9,1,3,4,5,6,7,8]=>{{1,2,9},{3},{4},{5},{6},{7},{8}}=>{{1,8,9},{2},{3},{4},{5},{6},{7}}
[2,3,4,5,6,7,8,9,1]=>[2,1,3,4,5,6,7,8,9]=>{{1,2},{3},{4},{5},{6},{7},{8},{9}}=>{{1},{2},{3},{4},{5},{6},{7},{8,9}}
[3,5,2,6,1,4,8,7]=>[3,2,5,8,4,6,1,7]=>{{1,3,5},{2},{4,8},{6},{7}}=>{{1,5},{2},{3},{4,6,8},{7}}
[3,5,2,6,4,1,8,7]=>[3,2,5,4,1,8,6,7]=>{{1,3,5},{2},{4},{6,8},{7}}=>{{1,3},{2},{4,6,8},{5},{7}}
[3,5,2,7,4,8,1,6]=>[3,5,2,4,1,7,6,8]=>{{1,3},{2,5},{4},{6,7},{8}}=>{{1},{2,3},{4,7},{5},{6,8}}
[3,5,2,7,4,8,6,1]=>[3,2,1,5,4,7,6,8]=>{{1,3},{2},{4,5},{6,7},{8}}=>{{1},{2,3},{4,5},{6,8},{7}}
[4,5,7,2,3,8,6,1]=>[4,2,1,5,7,3,6,8]=>{{1,4,5,7},{2},{3},{6},{8}}=>{{1},{2,4,5,8},{3},{6},{7}}
[4,5,7,2,3,8,1,6]=>[4,5,2,3,7,1,6,8]=>{{1,4},{2,5,7},{3},{6},{8}}=>{{1},{2,4,7},{3},{5,8},{6}}
[4,5,6,2,3,1,8,7]=>[4,2,5,3,8,1,6,7]=>{{1,4},{2},{3,5,8},{6},{7}}=>{{1,4,6},{2},{3},{5,8},{7}}
[4,5,6,2,1,3,8,7]=>[4,2,5,8,3,1,6,7]=>{{1,4,8},{2},{3,5},{6},{7}}=>{{1,5,8},{2},{3},{4,6},{7}}
[3,5,1,6,4,2,8,7]=>[3,1,5,4,2,8,6,7]=>{{1,3,5},{2},{4},{6,8},{7}}=>{{1,3},{2},{4,6,8},{5},{7}}
[4,5,6,1,3,2,8,7]=>[4,1,5,3,8,2,6,7]=>{{1,4},{2},{3,5,8},{6},{7}}=>{{1,4,6},{2},{3},{5,8},{7}}
[4,5,6,3,1,2,8,7]=>[4,1,5,8,3,2,6,7]=>{{1,4,8},{2},{3,5},{6},{7}}=>{{1,5,8},{2},{3},{4,6},{7}}
[4,5,7,3,2,8,1,6]=>[4,7,3,5,2,1,6,8]=>{{1,4,5},{2,7},{3},{6},{8}}=>{{1},{2,7},{3},{4,5,8},{6}}
[4,5,7,3,2,8,6,1]=>[4,3,2,7,5,1,6,8]=>{{1,4,7},{2,3},{5},{6},{8}}=>{{1},{2,5,8},{3},{4},{6,7}}
[4,6,7,3,8,2,5,1]=>[4,3,6,2,5,1,7,8]=>{{1,4},{2,3,6},{5},{7},{8}}=>{{1},{2},{3,6,7},{4},{5,8}}
[4,6,7,3,8,2,1,5]=>[4,6,3,2,5,1,7,8]=>{{1,4},{2,6},{3},{5},{7},{8}}=>{{1},{2},{3,7},{4},{5,8},{6}}
[4,6,7,3,8,1,2,5]=>[4,6,7,1,3,2,5,8]=>{{1,4},{2,6},{3,7},{5},{8}}=>{{1},{2,6},{3,7},{4},{5,8}}
[4,5,7,3,1,8,2,6]=>[4,5,1,7,3,2,6,8]=>{{1,4,7},{2,5},{3},{6},{8}}=>{{1},{2,5,8},{3},{4,7},{6}}
[4,5,7,1,3,8,2,6]=>[4,5,1,3,7,2,6,8]=>{{1,4},{2,5,7},{3},{6},{8}}=>{{1},{2,4,7},{3},{5,8},{6}}
[3,5,1,7,4,8,2,6]=>[3,5,1,4,2,7,6,8]=>{{1,3},{2,5},{4},{6,7},{8}}=>{{1},{2,3},{4,7},{5},{6,8}}
[2,1,5,7,4,8,3,6]=>[2,5,1,4,3,7,8,6]=>{{1,2,5},{3},{4},{6,7,8}}=>{{1,2,3},{4,7,8},{5},{6}}
[2,1,5,7,4,8,6,3]=>[5,2,1,4,3,7,8,6]=>{{1,5},{2},{3},{4},{6,7,8}}=>{{1,2,3},{4,8},{5},{6},{7}}
[3,5,1,7,4,8,6,2]=>[5,3,1,4,2,7,6,8]=>{{1,5},{2,3},{4},{6,7},{8}}=>{{1},{2,3},{4,8},{5},{6,7}}
[4,5,7,1,3,8,6,2]=>[4,3,1,5,7,2,6,8]=>{{1,4,5,7},{2,3},{6},{8}}=>{{1},{2,4,5,8},{3},{6,7}}
[4,5,7,3,1,8,6,2]=>[4,3,1,7,5,2,6,8]=>{{1,4,7},{2,3},{5},{6},{8}}=>{{1},{2,5,8},{3},{4},{6,7}}
[4,6,7,3,8,1,5,2]=>[4,3,6,1,5,2,7,8]=>{{1,4},{2,3,6},{5},{7},{8}}=>{{1},{2},{3,6,7},{4},{5,8}}
[4,6,7,3,8,5,1,2]=>[4,6,3,1,5,2,7,8]=>{{1,4},{2,6},{3},{5},{7},{8}}=>{{1},{2},{3,7},{4},{5,8},{6}}
[4,6,7,3,8,5,2,1]=>[4,3,2,1,6,5,7,8]=>{{1,4},{2,3},{5,6},{7},{8}}=>{{1},{2},{3,4},{5,8},{6,7}}
[5,6,7,8,3,1,4,2]=>[5,3,6,4,1,2,7,8]=>{{1,5},{2,3,6},{4},{7},{8}}=>{{1},{2},{3,6,7},{4,8},{5}}
[5,6,7,8,1,3,4,2]=>[5,3,6,7,1,2,4,8]=>{{1,5},{2,3,6},{4,7},{8}}=>{{1},{2,5},{3,6,7},{4,8}}
[4,6,7,1,8,3,5,2]=>[4,3,6,1,7,2,5,8]=>{{1,4},{2,3,6},{5,7},{8}}=>{{1},{2,4},{3,6,7},{5,8}}
[3,6,1,7,8,4,5,2]=>[6,3,4,1,2,7,5,8]=>{{1,6,7},{2,3,4},{5},{8}}=>{{1},{2,3,8},{4},{5,6,7}}
[2,1,6,7,8,4,5,3]=>[6,2,4,1,3,7,8,5]=>{{1,6,7,8},{2},{3,4},{5}}=>{{1,2,3,8},{4},{5,6},{7}}
[2,1,6,7,8,4,3,5]=>[2,6,4,1,3,7,8,5]=>{{1,2,6,7,8},{3,4},{5}}=>{{1,2,3,7,8},{4},{5,6}}
[3,6,1,7,8,4,2,5]=>[3,6,4,1,2,7,5,8]=>{{1,3,4},{2,6,7},{5},{8}}=>{{1},{2,3,7},{4},{5,6,8}}
[4,6,7,1,8,3,2,5]=>[4,6,3,1,7,2,5,8]=>{{1,4},{2,6},{3},{5,7},{8}}=>{{1},{2,4},{3,7},{5,8},{6}}
[5,6,7,8,1,3,2,4]=>[5,6,3,7,1,2,4,8]=>{{1,5},{2,6},{3},{4,7},{8}}=>{{1},{2,5},{3,7},{4,8},{6}}
[4,5,7,2,1,8,3,6]=>[4,5,2,7,3,1,6,8]=>{{1,4,7},{2,5},{3},{6},{8}}=>{{1},{2,5,8},{3},{4,7},{6}}
[4,6,7,2,8,1,3,5]=>[4,6,7,2,3,1,5,8]=>{{1,4},{2,6},{3,7},{5},{8}}=>{{1},{2,6},{3,7},{4},{5,8}}
[4,6,7,2,8,3,1,5]=>[4,6,2,1,7,3,5,8]=>{{1,4},{2,6},{3},{5,7},{8}}=>{{1},{2,4},{3,7},{5,8},{6}}
[4,6,7,2,8,3,5,1]=>[4,2,6,1,7,3,5,8]=>{{1,4},{2},{3,6},{5,7},{8}}=>{{1},{2,4},{3,6},{5,8},{7}}
[3,6,2,7,8,4,5,1]=>[3,2,6,1,4,7,5,8]=>{{1,3,6,7},{2},{4},{5},{8}}=>{{1},{2,3,6,8},{4},{5},{7}}
[3,6,2,7,8,4,1,5]=>[3,6,2,1,4,7,5,8]=>{{1,3},{2,6,7},{4},{5},{8}}=>{{1},{2,3,7},{4},{5},{6,8}}
[3,6,2,7,8,1,4,5]=>[3,6,7,2,4,5,1,8]=>{{1,3,7},{2,6},{4},{5},{8}}=>{{1},{2,6,8},{3,7},{4},{5}}
[3,5,2,7,1,8,4,6]=>[3,5,2,7,4,6,1,8]=>{{1,3},{2,5},{4,7},{6},{8}}=>{{1},{2,5},{3},{4,7},{6,8}}
[3,4,1,2,7,8,6,5]=>[7,3,1,4,6,8,2,5]=>{{1,7},{2,3},{4},{5,6,8}}=>{{1,3,4},{2,8},{5},{6,7}}
[3,6,2,7,8,1,5,4]=>[3,2,6,1,5,7,4,8]=>{{1,3,6,7},{2},{4},{5},{8}}=>{{1},{2,3,6,8},{4},{5},{7}}
[3,6,2,7,8,5,1,4]=>[3,6,2,1,5,7,4,8]=>{{1,3},{2,6,7},{4},{5},{8}}=>{{1},{2,3,7},{4},{5},{6,8}}
[3,6,2,7,8,5,4,1]=>[6,3,2,1,5,7,4,8]=>{{1,6,7},{2,3},{4},{5},{8}}=>{{1},{2,3,8},{4},{5},{6,7}}
[4,6,7,2,8,5,1,3]=>[4,6,2,1,5,3,7,8]=>{{1,4},{2,6},{3},{5},{7},{8}}=>{{1},{2},{3,7},{4},{5,8},{6}}
[4,6,7,2,8,1,5,3]=>[4,2,6,1,5,3,7,8]=>{{1,4},{2},{3,6},{5},{7},{8}}=>{{1},{2},{3,6},{4},{5,8},{7}}
[4,5,7,2,1,8,6,3]=>[4,2,1,7,5,3,6,8]=>{{1,4,7},{2},{3},{5},{6},{8}}=>{{1},{2,5,8},{3},{4},{6},{7}}
[4,5,7,1,2,8,6,3]=>[7,4,1,5,6,2,3,8]=>{{1,7},{2,4,5,6},{3},{8}}=>{{1},{2,8},{3,4,5,7},{6}}
[3,5,1,7,2,8,6,4]=>[7,3,1,5,2,6,4,8]=>{{1,7},{2,3},{4,5},{6},{8}}=>{{1},{2,8},{3},{4,5},{6,7}}
[2,1,6,7,8,3,5,4]=>[6,2,5,1,3,7,8,4]=>{{1,6,7,8},{2},{3,5},{4}}=>{{1,2,3,8},{4,6},{5},{7}}
[3,6,1,7,8,2,5,4]=>[6,3,5,1,2,7,4,8]=>{{1,6,7},{2,3,5},{4},{8}}=>{{1},{2,3,8},{4,6,7},{5}}
[4,6,7,1,8,2,5,3]=>[6,4,5,1,7,2,3,8]=>{{1,6},{2,4},{3,5,7},{8}}=>{{1},{2,4,6},{3,8},{5,7}}
[5,6,7,8,1,2,4,3]=>[5,4,6,7,1,2,3,8]=>{{1,5},{2,4,7},{3,6},{8}}=>{{1},{2,5,7},{3,6},{4,8}}
[5,6,7,8,2,1,4,3]=>[5,2,6,4,1,3,7,8]=>{{1,5},{2},{3,6},{4},{7},{8}}=>{{1},{2},{3,6},{4,8},{5},{7}}
[5,6,7,8,2,4,1,3]=>[5,6,2,4,1,3,7,8]=>{{1,5},{2,6},{3},{4},{7},{8}}=>{{1},{2},{3,7},{4,8},{5},{6}}
[5,6,7,8,2,4,3,1]=>[5,4,2,6,1,3,7,8]=>{{1,5},{2,4,6},{3},{7},{8}}=>{{1},{2},{3,5,7},{4,8},{6}}
[5,6,7,8,1,4,2,3]=>[5,6,4,7,1,2,3,8]=>{{1,5},{2,6},{3,4,7},{8}}=>{{1},{2,5,6},{3,7},{4,8}}
[4,6,7,1,8,5,2,3]=>[4,6,5,1,7,2,3,8]=>{{1,4},{2,6},{3,5,7},{8}}=>{{1},{2,4,6},{3,7},{5,8}}
[3,6,1,7,8,5,2,4]=>[3,6,5,1,2,7,4,8]=>{{1,3,5},{2,6,7},{4},{8}}=>{{1},{2,3,7},{4,6,8},{5}}
[2,1,6,7,8,5,3,4]=>[2,6,5,1,3,7,8,4]=>{{1,2,6,7,8},{3,5},{4}}=>{{1,2,3,7,8},{4,6},{5}}
[5,6,7,8,1,4,3,2]=>[5,4,3,6,1,2,7,8]=>{{1,5},{2,4,6},{3},{7},{8}}=>{{1},{2},{3,5,7},{4,8},{6}}
[6,7,8,9,10,5,4,3,2,1]=>[6,5,4,3,2,1,7,8,9,10]=>{{1,6},{2,5},{3,4},{7},{8},{9},{10}}=>{{1},{2},{3},{4},{5,10},{6,9},{7,8}}
[6,5,8,7,3,4,1,2]=>[6,8,5,7,3,1,4,2]=>{{1,6},{2,8},{3,5},{4,7}}=>{{1,7},{2,5},{3,8},{4,6}}
[1,6,7,4,5,2,3,8]=>[1,6,7,4,5,2,3,8]=>{{1},{2,6},{3,7},{4},{5},{8}}=>{{1},{2,6},{3,7},{4},{5},{8}}
[3,5,4,7,6,8,1,2]=>[5,7,3,4,1,6,2,8]=>{{1,5},{2,7},{3},{4},{6},{8}}=>{{1},{2,7},{3},{4,8},{5},{6}}
[5,4,3,8,7,6,1,2]=>[5,8,4,3,1,7,6,2]=>{{1,5},{2,8},{3,4},{6,7}}=>{{1,7},{2,3},{4,8},{5,6}}
[6,4,8,3,7,5,1,2]=>[6,8,4,3,7,1,5,2]=>{{1,6},{2,8},{3,4},{5,7}}=>{{1,7},{2,4},{3,8},{5,6}}
[3,2,5,6,1,8,7,4]=>[3,2,1,8,5,6,7,4]=>{{1,3},{2},{4,8},{5},{6},{7}}=>{{1,5},{2},{3},{4},{6,8},{7}}
[5,2,4,8,6,1,7,3]=>[5,2,8,4,1,6,7,3]=>{{1,5},{2},{3,8},{4},{6},{7}}=>{{1,6},{2},{3},{4,8},{5},{7}}
[6,2,8,4,5,1,7,3]=>[6,2,8,4,5,1,7,3]=>{{1,6},{2},{3,8},{4},{5},{7}}=>{{1,6},{2},{3,8},{4},{5},{7}}
[7,8,2,4,5,1,6,3]=>[7,2,8,4,5,6,1,3]=>{{1,7},{2},{3,8},{4},{5},{6}}=>{{1,6},{2,8},{3},{4},{5},{7}}
[7,8,1,3,2,5,4,6]=>[1,7,3,8,5,6,2,4]=>{{1},{2,7},{3},{4,8},{5},{6}}=>{{1,5},{2,7},{3},{4},{6},{8}}
[6,2,8,3,1,5,7,4]=>[6,2,3,8,5,1,7,4]=>{{1,6},{2},{3},{4,8},{5},{7}}=>{{1,5},{2},{3,8},{4},{6},{7}}
[5,2,3,8,1,6,7,4]=>[5,2,3,8,1,6,7,4]=>{{1,5},{2},{3},{4,8},{6},{7}}=>{{1,5},{2},{3},{4,8},{6},{7}}
[6,3,8,2,1,7,5,4]=>[6,3,2,8,7,1,5,4]=>{{1,6},{2,3},{4,8},{5,7}}=>{{1,5},{2,4},{3,8},{6,7}}
[7,8,3,2,1,6,5,4]=>[7,3,2,8,6,5,1,4]=>{{1,7},{2,3},{4,8},{5,6}}=>{{1,5},{2,8},{3,4},{6,7}}
[7,8,4,2,6,1,5,3]=>[7,4,8,2,6,5,1,3]=>{{1,7},{2,4},{3,8},{5,6}}=>{{1,6},{2,8},{3,4},{5,7}}
[5,4,2,8,7,1,6,3]=>[5,4,8,2,1,7,6,3]=>{{1,5},{2,4},{3,8},{6,7}}=>{{1,6},{2,3},{4,8},{5,7}}
[1,5,3,7,2,6,4,8]=>[1,5,3,7,2,6,4,8]=>{{1},{2,5},{3},{4,7},{6},{8}}=>{{1},{2,5},{3},{4,7},{6},{8}}
[1,6,7,3,2,5,4,8]=>[1,6,3,7,5,2,4,8]=>{{1},{2,6},{3},{4,7},{5},{8}}=>{{1},{2,5},{3,7},{4},{6},{8}}
[7,8,5,6,2,1,4,3]=>[7,5,8,6,2,4,1,3]=>{{1,7},{2,5},{3,8},{4,6}}=>{{1,6},{2,8},{3,5},{4,7}}
[5,2,1,8,3,4,7,6]=>[5,2,3,4,1,8,7,6]=>{{1,5},{2},{3},{4},{6,8},{7}}=>{{1,3},{2},{4,8},{5},{6},{7}}
[6,3,1,5,2,4,8,7]=>[3,1,2,6,5,8,7,4]=>{{1,3},{2},{4,6,8},{5},{7}}=>{{1,3,5},{2},{4},{6,8},{7}}
[6,4,5,1,2,3,8,7]=>[4,1,2,6,8,5,7,3]=>{{1,4,6},{2},{3},{5,8},{7}}=>{{1,4},{2},{3,5,8},{6},{7}}
[6,5,4,1,2,3,8,7]=>[6,1,2,5,8,7,4,3]=>{{1,6,7},{2},{3},{4,5,8}}=>{{1,4,5},{2,3,8},{6},{7}}
[7,5,4,1,2,8,3,6]=>[1,7,2,5,8,6,4,3]=>{{1},{2,7},{3},{4,5,8},{6}}=>{{1,4,5},{2,7},{3},{6},{8}}
[6,7,4,1,8,2,3,5]=>[1,6,7,2,8,4,3,5]=>{{1},{2,6},{3,7},{4},{5,8}}=>{{1,4},{2,6},{3,7},{5},{8}}
[4,7,5,1,2,8,3,6]=>[1,4,2,7,8,5,3,6]=>{{1},{2,4,7},{3},{5,8},{6}}=>{{1,4},{2,5,7},{3},{6},{8}}
[2,1,8,5,3,7,4,6]=>[2,3,1,8,5,4,7,6]=>{{1,2,3},{4,8},{5},{6},{7}}=>{{1,5},{2},{3},{4},{6,7,8}}
[8,7,4,1,6,2,3,5]=>[1,2,4,3,8,7,6,5]=>{{1},{2},{3,4},{5,8},{6,7}}=>{{1,4},{2,3},{5,6},{7},{8}}
[4,8,6,1,7,2,3,5]=>[1,4,6,2,8,7,3,5]=>{{1},{2,4},{3,6,7},{5,8}}=>{{1,4},{2,3,6},{5,7},{8}}
[2,1,8,6,7,3,4,5]=>[2,3,8,1,6,4,7,5]=>{{1,2,3,8},{4},{5,6},{7}}=>{{1,6,7,8},{2},{3,4},{5}}
[5,7,6,8,1,2,3,4]=>[1,5,7,8,2,6,3,4]=>{{1},{2,5},{3,7},{4,8},{6}}=>{{1,5},{2,6},{3},{4,7},{8}}
[8,4,6,1,7,2,3,5]=>[1,4,6,2,8,3,7,5]=>{{1},{2,4},{3,6},{5,8},{7}}=>{{1,4},{2},{3,6},{5,7},{8}}
[7,3,1,6,8,2,4,5]=>[1,3,7,2,4,8,6,5]=>{{1},{2,3,7},{4},{5},{6,8}}=>{{1,3},{2,6,7},{4},{5},{8}}
[2,1,7,8,6,3,4,5]=>[2,3,7,6,1,4,8,5]=>{{1,2,3,7,8},{4,6},{5}}=>{{1,2,6,7,8},{3,5},{4}}
[3,8,1,7,6,2,4,5]=>[1,3,8,7,4,6,2,5]=>{{1},{2,3,8},{4,7},{5},{6}}=>{{1,6,7},{2,5},{3},{4},{8}}
[6,4,7,3,5,8,1,2]=>[6,7,4,5,8,1,3,2]=>{{1,6},{2,7},{3,4,5,8}}=>{{1,4,5,6},{2,7},{3,8}}
[7,8,4,2,5,1,3,6]=>[4,7,8,5,6,2,1,3]=>{{1,4,5,6},{2,7},{3,8}}=>{{1,6},{2,7},{3,4,5,8}}
[5,3,2,7,1,6,4,8]=>[5,7,3,8,2,6,4,1]=>{{1,5},{2,7},{3},{4,8},{6}}=>{{1,5},{2,7},{3},{4,8},{6}}
[6,3,7,2,1,5,8,4]=>[6,3,7,8,5,2,4,1]=>{{1,6},{2,3,7},{4,8},{5}}=>{{1,5},{2,6,7},{3,8},{4}}
[6,3,7,2,1,4,5,8]=>[3,6,7,8,4,2,5,1]=>{{1,3,7},{2,6},{4,8},{5}}=>{{1,5},{2,6,8},{3,7},{4}}
[6,3,8,2,1,4,5,7]=>[3,4,6,8,5,2,7,1]=>{{1,3,6},{2,4,8},{5},{7}}=>{{1,5,7},{2},{3,6,8},{4}}
[7,8,1,4,6,2,5,3]=>[7,6,8,1,4,5,2,3]=>{{1,7},{2,6},{3,8},{4},{5}}=>{{1,6},{2,8},{3,7},{4},{5}}
[1,6,8,4,7,2,5,3]=>[8,6,7,4,5,1,2,3]=>{{1,8},{2,6},{3,7},{4},{5}}=>{{1,8},{2,6},{3,7},{4},{5}}
[7,8,1,2,3,6,5,4]=>[7,6,1,2,5,8,3,4]=>{{1,7},{2,6,8},{3},{4},{5}}=>{{1,3,7},{2,8},{4},{5},{6}}
[6,1,8,2,3,7,5,4]=>[8,6,1,2,5,3,7,4]=>{{1,8},{2,6},{3},{4},{5},{7}}=>{{1,8},{2},{3,7},{4},{5},{6}}
[1,6,8,2,3,7,5,4]=>[8,6,1,5,7,2,3,4]=>{{1,8},{2,6},{3},{4,5,7}}=>{{1,8},{2,4,5},{3,7},{6}}
[3,6,8,4,7,5,1,2]=>[6,8,7,3,4,1,2,5]=>{{1,6},{2,8},{3,7},{4},{5}}=>{{1,7},{2,6},{3,8},{4},{5}}
[2,6,8,3,1,7,5,4]=>[8,6,2,7,5,1,3,4]=>{{1,8},{2,6},{3},{4,7},{5}}=>{{1,8},{2,5},{3,7},{4},{6}}
[1,2,5,8,3,7,6,4]=>[8,7,5,6,1,2,3,4]=>{{1,8},{2,7},{3,5},{4,6}}=>{{1,8},{2,7},{3,5},{4,6}}
[5,1,3,8,2,7,6,4]=>[8,5,3,7,1,2,6,4]=>{{1,8},{2,5},{3},{4,7},{6}}=>{{1,8},{2,5},{3},{4,7},{6}}
[1,5,3,8,2,7,6,4]=>[8,5,3,7,1,6,2,4]=>{{1,8},{2,5},{3},{4,7},{6}}=>{{1,8},{2,5},{3},{4,7},{6}}
[1,3,5,8,2,7,6,4]=>[8,7,3,5,1,2,4,6]=>{{1,8},{2,7},{3},{4,5},{6}}=>{{1,8},{2,7},{3},{4,5},{6}}
[2,4,5,8,7,1,6,3]=>[8,2,7,4,1,3,5,6]=>{{1,8},{2},{3,7},{4},{5},{6}}=>{{1,8},{2,6},{3},{4},{5},{7}}
[4,1,3,2,6,5,8,7]=>[4,1,6,3,8,5,7,2]=>{{1,4},{2},{3,6},{5,8},{7}}=>{{1,4},{2},{3,6},{5,8},{7}}
[6,1,3,2,5,4,8,7]=>[3,1,6,2,8,5,7,4]=>{{1,3,6},{2},{4},{5,8},{7}}=>{{1,4},{2},{3,6,8},{5},{7}}
[8,1,3,2,5,4,7,6]=>[3,1,5,2,8,4,7,6]=>{{1,3,5,8},{2},{4},{6},{7}}=>{{1,4,6,8},{2},{3},{5},{7}}
[8,1,4,2,5,3,7,6]=>[4,1,5,2,8,3,7,6]=>{{1,4},{2},{3,5,8},{6},{7}}=>{{1,4,6},{2},{3},{5,8},{7}}
[6,1,4,2,5,3,8,7]=>[4,1,6,2,8,5,7,3]=>{{1,4},{2},{3,6},{5,8},{7}}=>{{1,4},{2},{3,6},{5,8},{7}}
[5,1,4,2,6,3,8,7]=>[5,1,6,2,8,4,7,3]=>{{1,5,8},{2},{3,6},{4},{7}}=>{{1,4,8},{2},{3,6},{5},{7}}
[2,1,6,3,5,4,8,7]=>[2,1,6,3,5,4,8,7]=>{{1,2},{3,6},{4},{5},{7,8}}=>{{1,2},{3,6},{4},{5},{7,8}}
[3,1,6,2,5,4,8,7]=>[3,1,6,2,5,4,8,7]=>{{1,3,6},{2},{4},{5},{7,8}}=>{{1,2},{3,6,8},{4},{5},{7}}
[4,1,6,2,5,3,8,7]=>[4,1,6,2,5,3,8,7]=>{{1,4},{2},{3,6},{5},{7,8}}=>{{1,2},{3,6},{4},{5,8},{7}}
[5,2,7,1,4,3,8,6]=>[5,2,7,4,8,1,6,3]=>{{1,5,8},{2},{3,7},{4},{6}}=>{{1,4,8},{2,6},{3},{5},{7}}
[5,2,8,1,4,3,7,6]=>[2,1,5,4,8,3,7,6]=>{{1,2},{3,5,8},{4},{6},{7}}=>{{1,4,6},{2},{3},{5},{7,8}}
[4,1,7,2,5,3,8,6]=>[4,1,7,2,5,3,8,6]=>{{1,4},{2},{3,7,8},{5},{6}}=>{{1,2,6},{3},{4},{5,8},{7}}
[3,1,7,2,5,4,8,6]=>[3,1,7,2,5,4,8,6]=>{{1,3,7,8},{2},{4},{5},{6}}=>{{1,2,6,8},{3},{4},{5},{7}}
[2,1,7,3,5,4,8,6]=>[2,1,7,3,5,4,8,6]=>{{1,2},{3,7,8},{4},{5},{6}}=>{{1,2,6},{3},{4},{5},{7,8}}
[2,1,8,3,5,4,7,6]=>[2,1,8,3,5,4,7,6]=>{{1,2},{3,8},{4},{5},{6},{7}}=>{{1,6},{2},{3},{4},{5},{7,8}}
[3,1,8,2,5,4,7,6]=>[3,1,8,2,5,4,7,6]=>{{1,3,8},{2},{4},{5},{6},{7}}=>{{1,6,8},{2},{3},{4},{5},{7}}
[4,1,8,2,5,3,7,6]=>[4,1,8,2,5,3,7,6]=>{{1,4},{2},{3,8},{5},{6},{7}}=>{{1,6},{2},{3},{4},{5,8},{7}}
[8,2,5,1,4,3,7,6]=>[2,1,8,5,7,4,6,3]=>{{1,2},{3,8},{4,5,7},{6}}=>{{1,6},{2,4,5},{3},{7,8}}
[8,2,6,1,4,3,7,5]=>[2,1,8,6,7,4,5,3]=>{{1,2},{3,8},{4,6},{5,7}}=>{{1,6},{2,4},{3,5},{7,8}}
[8,1,4,3,7,2,6,5]=>[4,3,8,1,7,2,6,5]=>{{1,4},{2,3,8},{5,7},{6}}=>{{1,6,7},{2,4},{3},{5,8}}
[8,2,6,1,5,3,7,4]=>[2,1,8,6,7,3,5,4]=>{{1,2},{3,8},{4,6},{5,7}}=>{{1,6},{2,4},{3,5},{7,8}}
[5,1,8,2,6,3,7,4]=>[5,1,8,2,6,3,7,4]=>{{1,5,6},{2},{3,8},{4},{7}}=>{{1,6},{2},{3,4,8},{5},{7}}
[4,1,8,2,6,3,7,5]=>[4,1,8,2,6,3,7,5]=>{{1,4},{2},{3,8},{5,6},{7}}=>{{1,6},{2},{3,4},{5,8},{7}}
[3,1,8,2,6,4,7,5]=>[3,1,8,2,6,4,7,5]=>{{1,3,8},{2},{4},{5,6},{7}}=>{{1,6,8},{2},{3,4},{5},{7}}
[2,1,8,3,6,4,7,5]=>[2,1,8,3,6,4,7,5]=>{{1,2},{3,8},{4},{5,6},{7}}=>{{1,6},{2},{3,4},{5},{7,8}}
[2,1,7,3,6,4,8,5]=>[2,1,7,3,6,4,8,5]=>{{1,2},{3,7,8},{4},{5,6}}=>{{1,2,6},{3,4},{5},{7,8}}
[4,1,7,2,6,3,8,5]=>[4,1,7,2,6,3,8,5]=>{{1,4},{2},{3,7,8},{5,6}}=>{{1,2,6},{3,4},{5,8},{7}}
[5,1,7,2,6,3,8,4]=>[5,1,7,2,6,3,8,4]=>{{1,5,6},{2},{3,7,8},{4}}=>{{1,2,6},{3,4,8},{5},{7}}
[7,2,6,1,5,3,8,4]=>[2,1,7,6,8,3,5,4]=>{{1,2},{3,7},{4,6},{5,8}}=>{{1,4},{2,6},{3,5},{7,8}}
[6,2,7,1,5,3,8,4]=>[6,2,7,3,8,1,5,4]=>{{1,6},{2},{3,7},{4},{5,8}}=>{{1,4},{2,6},{3,8},{5},{7}}
[6,2,8,1,5,3,7,4]=>[2,1,6,5,8,3,7,4]=>{{1,2},{3,6},{4,5,8},{7}}=>{{1,4,5},{2},{3,6},{7,8}}
[8,1,5,2,6,3,7,4]=>[5,1,6,2,8,3,7,4]=>{{1,5,8},{2},{3,6},{4},{7}}=>{{1,4,8},{2},{3,6},{5},{7}}
[8,1,4,2,6,3,7,5]=>[4,1,6,2,8,3,7,5]=>{{1,4},{2},{3,6},{5,8},{7}}=>{{1,4},{2},{3,6},{5,8},{7}}
[8,1,3,2,6,4,7,5]=>[3,1,6,2,8,4,7,5]=>{{1,3,6},{2},{4},{5,8},{7}}=>{{1,4},{2},{3,6,8},{5},{7}}
[7,1,3,2,6,4,8,5]=>[3,1,7,2,8,4,6,5]=>{{1,3,7},{2},{4},{5,8},{6}}=>{{1,4},{2,6,8},{3},{5},{7}}
[5,1,3,2,7,4,8,6]=>[5,1,7,3,8,4,6,2]=>{{1,5,8},{2},{3,7},{4},{6}}=>{{1,4,8},{2,6},{3},{5},{7}}
[4,1,3,2,7,5,8,6]=>[4,1,7,3,8,5,6,2]=>{{1,4},{2},{3,7},{5,8},{6}}=>{{1,4},{2,6},{3},{5,8},{7}}
[2,1,4,3,8,5,7,6]=>[8,2,4,1,5,3,7,6]=>{{1,8},{2},{3,4},{5},{6},{7}}=>{{1,8},{2},{3},{4},{5,6},{7}}
[4,1,3,2,8,5,7,6]=>[4,1,3,2,8,5,7,6]=>{{1,4},{2},{3},{5,8},{6},{7}}=>{{1,4},{2},{3},{5,8},{6},{7}}
[5,1,3,2,8,4,7,6]=>[5,1,3,2,8,4,7,6]=>{{1,5,8},{2},{3},{4},{6},{7}}=>{{1,4,8},{2},{3},{5},{6},{7}}
[6,1,3,2,8,4,7,5]=>[6,1,3,2,8,4,7,5]=>{{1,6},{2},{3},{4},{5,8},{7}}=>{{1,4},{2},{3,8},{5},{6},{7}}
[8,4,7,1,3,2,6,5]=>[4,1,8,3,7,2,6,5]=>{{1,4},{2},{3,8},{5,7},{6}}=>{{1,6},{2,4},{3},{5,8},{7}}
[7,3,8,1,4,2,6,5]=>[3,1,7,4,8,2,6,5]=>{{1,3,7},{2},{4},{5,8},{6}}=>{{1,4},{2,6,8},{3},{5},{7}}
[8,3,7,1,4,2,6,5]=>[3,1,8,4,7,2,6,5]=>{{1,3,8},{2},{4},{5,7},{6}}=>{{1,6,8},{2,4},{3},{5},{7}}
[6,1,4,2,8,3,7,5]=>[6,1,4,2,8,3,7,5]=>{{1,6},{2},{3,4},{5,8},{7}}=>{{1,4},{2},{3,8},{5,6},{7}}
[5,1,4,2,8,3,7,6]=>[5,1,4,2,8,3,7,6]=>{{1,5,8},{2},{3,4},{6},{7}}=>{{1,4,8},{2},{3},{5,6},{7}}
[4,1,5,2,8,3,7,6]=>[8,1,4,2,5,3,7,6]=>{{1,8},{2},{3,4},{5},{6},{7}}=>{{1,8},{2},{3},{4},{5,6},{7}}
[3,1,5,2,8,4,7,6]=>[8,1,3,2,5,4,7,6]=>{{1,8},{2},{3},{4},{5},{6},{7}}=>{{1,8},{2},{3},{4},{5},{6},{7}}
[2,1,5,3,8,4,7,6]=>[8,2,3,1,5,4,7,6]=>{{1,8},{2},{3},{4},{5},{6},{7}}=>{{1,8},{2},{3},{4},{5},{6},{7}}
[3,1,6,2,8,4,7,5]=>[8,1,3,2,6,4,7,5]=>{{1,8},{2},{3},{4},{5,6},{7}}=>{{1,8},{2},{3,4},{5},{6},{7}}
[4,1,6,2,8,3,7,5]=>[8,1,4,2,6,3,7,5]=>{{1,8},{2},{3,4},{5,6},{7}}=>{{1,8},{2},{3,4},{5,6},{7}}
[5,1,6,2,8,3,7,4]=>[8,1,5,2,6,3,7,4]=>{{1,8},{2},{3,5,6},{4},{7}}=>{{1,8},{2},{3,4,6},{5},{7}}
[6,1,5,2,8,3,7,4]=>[6,1,5,2,8,3,7,4]=>{{1,6},{2},{3,5,8},{4},{7}}=>{{1,4,6},{2},{3,8},{5},{7}}
[6,2,7,3,8,1,5,4]=>[6,2,7,1,5,3,8,4]=>{{1,6},{2},{3,7,8},{4},{5}}=>{{1,2,6},{3,8},{4},{5},{7}}
[6,2,8,3,7,1,5,4]=>[8,6,7,2,3,1,5,4]=>{{1,8},{2,6},{3,7},{4},{5}}=>{{1,8},{2,6},{3,7},{4},{5}}
[8,3,7,2,6,1,5,4]=>[8,3,7,2,6,1,5,4]=>{{1,8},{2,3,7},{4},{5,6}}=>{{1,8},{2,6,7},{3,4},{5}}
[5,1,8,3,7,2,6,4]=>[8,5,7,1,3,2,6,4]=>{{1,8},{2,5},{3,7},{4},{6}}=>{{1,8},{2,6},{3},{4,7},{5}}
[4,1,8,3,7,2,6,5]=>[8,4,7,1,3,2,6,5]=>{{1,8},{2,4},{3,7},{5},{6}}=>{{1,8},{2,6},{3},{4},{5,7}}
[3,1,8,4,7,2,6,5]=>[8,3,7,1,4,2,6,5]=>{{1,8},{2,3,7},{4},{5},{6}}=>{{1,8},{2,6,7},{3},{4},{5}}
[2,1,8,4,7,3,6,5]=>[8,2,7,1,4,3,6,5]=>{{1,8},{2},{3,7},{4},{5},{6}}=>{{1,8},{2,6},{3},{4},{5},{7}}
[3,1,7,4,8,2,6,5]=>[7,3,8,1,4,2,6,5]=>{{1,7},{2,3,8},{4},{5},{6}}=>{{1,6,7},{2,8},{3},{4},{5}}
[7,3,8,2,6,1,5,4]=>[7,3,8,2,6,1,5,4]=>{{1,7},{2,3,8},{4},{5,6}}=>{{1,6,7},{2,8},{3,4},{5}}
[8,2,6,3,7,1,5,4]=>[6,2,8,1,7,3,5,4]=>{{1,6},{2},{3,8},{4},{5,7}}=>{{1,6},{2,4},{3,8},{5},{7}}
[5,7,3,8,2,4,1,6]=>[5,7,3,8,2,4,1,6]=>{{1,5},{2,7},{3},{4,8},{6}}=>{{1,5},{2,7},{3},{4,8},{6}}
[4,5,2,6,3,8,1,7]=>[4,5,2,3,1,8,6,7]=>{{1,4},{2,5},{3},{6,8},{7}}=>{{1,3},{2},{4,7},{5,8},{6}}
[5,3,1,6,8,2,4,7]=>[1,5,6,3,4,8,7,2]=>{{1},{2,5},{3,6,8},{4},{7}}=>{{1,3,6},{2},{4,7},{5},{8}}
[6,7,4,1,8,3,2,5]=>[6,7,4,1,8,3,2,5]=>{{1,6},{2,7},{3,4},{5,8}}=>{{1,4},{2,7},{3,8},{5,6}}
[4,7,1,5,8,3,2,6]=>[4,7,5,1,3,8,2,6]=>{{1,4},{2,7},{3,5},{6,8}}=>{{1,3},{2,7},{4,6},{5,8}}
[5,3,7,8,1,4,2,6]=>[5,7,3,8,1,4,6,2]=>{{1,5},{2,7},{3},{4,8},{6}}=>{{1,5},{2,7},{3},{4,8},{6}}
[7,3,5,8,1,4,6,2]=>[7,3,5,8,1,4,6,2]=>{{1,7},{2,3,5},{4,8},{6}}=>{{1,5},{2,8},{3},{4,6,7}}
[6,7,4,8,3,5,2,1]=>[6,4,3,7,2,5,1,8]=>{{1,6},{2,4,7},{3},{5},{8}}=>{{1},{2,5,7},{3,8},{4},{6}}
[5,6,7,3,1,8,4,2]=>[5,3,1,6,4,2,7,8]=>{{1,5},{2,3},{4,6},{7},{8}}=>{{1},{2},{3,5},{4,8},{6,7}}
[6,4,7,1,8,3,5,2]=>[6,4,7,1,8,3,5,2]=>{{1,6},{2,4},{3,7},{5,8}}=>{{1,4},{2,6},{3,8},{5,7}}
[6,7,2,8,4,1,3,5]=>[6,7,8,2,1,4,3,5]=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}
[5,7,3,1,8,2,4,6]=>[1,5,7,3,8,4,2,6]=>{{1},{2,5,8},{3,7},{4},{6}}=>{{1,4,7},{2,6},{3},{5},{8}}
[6,7,4,2,8,3,1,5]=>[6,7,4,2,8,3,1,5]=>{{1,6},{2,7},{3,4},{5,8}}=>{{1,4},{2,7},{3,8},{5,6}}
[3,6,7,2,8,4,5,1]=>[3,2,6,1,7,4,5,8]=>{{1,3,6},{2},{4},{5,7},{8}}=>{{1},{2,4},{3,6,8},{5},{7}}
[5,3,7,8,1,6,2,4]=>[5,7,3,8,1,2,6,4]=>{{1,5},{2,7},{3},{4,8},{6}}=>{{1,5},{2,7},{3},{4,8},{6}}
[6,4,7,1,8,2,5,3]=>[6,4,7,1,8,2,5,3]=>{{1,6},{2,4},{3,7},{5,8}}=>{{1,4},{2,6},{3,8},{5,7}}
[8,2,4,5,6,1,3,7]=>[2,4,8,1,5,6,7,3]=>{{1,2,4},{3,8},{5},{6},{7}}=>{{1,6},{2},{3},{4},{5,7,8}}
[8,1,4,5,6,3,2,7]=>[1,8,4,3,5,6,7,2]=>{{1},{2,8},{3,4},{5},{6},{7}}=>{{1,7},{2},{3},{4},{5,6},{8}}
[7,4,5,8,3,2,6,1]=>[7,4,8,3,2,5,6,1]=>{{1,7},{2,4},{3,8},{5},{6}}=>{{1,6},{2,8},{3},{4},{5,7}}
[4,5,3,7,1,8,2,6]=>[4,5,1,7,3,6,2,8]=>{{1,4,7},{2,5},{3},{6},{8}}=>{{1},{2,5,8},{3},{4,7},{6}}
[4,1,5,3,7,2,8,6]=>[4,1,5,3,7,2,8,6]=>{{1,4},{2},{3,5,7,8},{6}}=>{{1,2,4,6},{3},{5,8},{7}}
[6,4,7,8,3,5,2,1]=>[6,4,3,7,2,5,8,1]=>{{1,6},{2,4,7,8},{3},{5}}=>{{1,2,5,7},{3,8},{4},{6}}
[3,6,7,1,4,8,5,2]=>[6,3,1,4,7,2,5,8]=>{{1,6},{2,3},{4},{5,7},{8}}=>{{1},{2,4},{3,8},{5},{6,7}}
[7,8,3,4,2,1,6,5]=>[7,3,8,4,2,6,1,5]=>{{1,7},{2,3,8},{4},{5},{6}}=>{{1,6,7},{2,8},{3},{4},{5}}
[6,7,3,8,2,5,4,1]=>[6,3,2,7,1,5,4,8]=>{{1,6},{2,3},{4,7},{5},{8}}=>{{1},{2,5},{3,8},{4},{6,7}}
[5,1,2,6,7,8,4,3]=>[5,4,1,2,6,7,8,3]=>{{1,5,6,7,8},{2,4},{3}}=>{{1,2,3,4,8},{5,7},{6}}
[5,2,6,7,8,4,1,3]=>[5,6,2,1,4,7,8,3]=>{{1,5},{2,6,7,8},{3},{4}}=>{{1,2,3,7},{4,8},{5},{6}}
[6,4,3,7,2,5,1,8]=>[6,7,4,8,3,5,2,1]=>{{1,6},{2,7},{3,4,8},{5}}=>{{1,5,6},{2,7},{3,8},{4}}
[8,4,3,6,5,1,2,7]=>[4,6,8,3,1,7,5,2]=>{{1,4},{2,6,7},{3,8},{5}}=>{{1,6},{2,3,7},{4},{5,8}}
[1,5,6,3,4,8,7,2]=>[5,3,1,6,8,2,4,7]=>{{1,5,8},{2,3},{4,6},{7}}=>{{1,4,8},{2},{3,5},{6,7}}
[3,2,6,7,4,5,1,8]=>[3,6,2,7,1,4,8,5]=>{{1,3},{2,6},{4,7,8},{5}}=>{{1,2,5},{3,7},{4},{6,8}}
[4,7,2,6,5,3,1,8]=>[4,7,6,5,2,8,1,3]=>{{1,4,5},{2,7},{3,6,8}}=>{{1,3,6},{2,7},{4,5,8}}
[1,7,5,4,8,3,6,2]=>[7,5,8,1,4,3,2,6]=>{{1,7},{2,5},{3,8},{4},{6}}=>{{1,6},{2,8},{3},{4,7},{5}}
[8,1,5,4,7,6,2,3]=>[5,8,4,1,7,2,6,3]=>{{1,5,7},{2,8},{3,4},{6}}=>{{1,7},{2,4,8},{3},{5,6}}
[5,1,7,2,8,4,6,3]=>[5,1,4,2,7,3,8,6]=>{{1,5,7,8},{2},{3,4},{6}}=>{{1,2,4,8},{3},{5,6},{7}}
[3,2,1,7,8,5,6,4]=>[3,2,7,1,5,8,6,4]=>{{1,3,7},{2},{4},{5},{6,8}}=>{{1,3},{2,6,8},{4},{5},{7}}
[4,8,2,7,1,5,3,6]=>[4,8,5,7,2,6,1,3]=>{{1,4,7},{2,8},{3,5},{6}}=>{{1,7},{2,5,8},{3},{4,6}}
[8,6,7,1,3,4,2,5]=>[1,8,3,6,7,4,5,2]=>{{1},{2,8},{3},{4,6},{5,7}}=>{{1,7},{2,4},{3,5},{6},{8}}
[4,6,2,8,3,1,5,7]=>[2,4,6,3,1,8,5,7]=>{{1,2,4},{3,6,8},{5},{7}}=>{{1,3,6},{2},{4},{5,7,8}}
[1,5,7,3,8,4,6,2]=>[5,3,7,1,8,2,4,6]=>{{1,5,8},{2,3,7},{4},{6}}=>{{1,4,8},{2,6,7},{3},{5}}
[8,4,3,1,7,6,2,5]=>[1,4,3,2,8,7,6,5]=>{{1},{2,4},{3},{5,8},{6,7}}=>{{1,4},{2,3},{5,7},{6},{8}}
[1,5,8,3,7,6,4,2]=>[8,7,5,3,6,1,2,4]=>{{1,8},{2,7},{3,5,6},{4}}=>{{1,8},{2,7},{3,4,6},{5}}
[4,6,2,1,3,8,7,5]=>[4,2,1,6,8,7,3,5]=>{{1,4,6,7},{2},{3},{5,8}}=>{{1,4},{2,3,5,8},{6},{7}}
[3,2,7,1,8,4,6,5]=>[3,2,7,1,8,4,6,5]=>{{1,3,7},{2},{4},{5,8},{6}}=>{{1,4},{2,6,8},{3},{5},{7}}
[3,1,2,6,5,8,7,4]=>[6,3,1,5,2,4,8,7]=>{{1,6},{2,3},{4,5},{7,8}}=>{{1,2},{3,8},{4,5},{6,7}}
[4,6,1,2,3,8,7,5]=>[8,4,1,2,6,7,3,5]=>{{1,8},{2,4},{3},{5,6,7}}=>{{1,8},{2,3,4},{5,7},{6}}
[6,5,1,2,3,8,7,4]=>[6,5,1,2,3,8,7,4]=>{{1,6,8},{2,5},{3},{4},{7}}=>{{1,3,8},{2},{4,7},{5},{6}}
[6,4,1,2,3,8,7,5]=>[6,4,1,2,3,8,7,5]=>{{1,6,8},{2,4},{3},{5},{7}}=>{{1,3,8},{2},{4},{5,7},{6}}
[5,4,1,2,3,8,7,6]=>[5,4,1,2,3,8,7,6]=>{{1,5},{2,4},{3},{6,8},{7}}=>{{1,3},{2},{4,8},{5,7},{6}}
[6,4,1,7,2,3,5,8]=>[1,2,6,7,4,8,5,3]=>{{1},{2},{3,6,8},{4,7},{5}}=>{{1,3,6},{2,5},{4},{7},{8}}
[7,1,5,2,8,4,6,3]=>[7,1,5,2,8,4,6,3]=>{{1,7},{2},{3,5,8},{4},{6}}=>{{1,4,6},{2,8},{3},{5},{7}}
[8,1,5,2,7,4,6,3]=>[8,1,5,2,7,4,6,3]=>{{1,8},{2},{3,5,7},{4},{6}}=>{{1,8},{2,4,6},{3},{5},{7}}
[8,1,6,7,2,4,5,3]=>[8,1,6,7,2,4,5,3]=>{{1,8},{2},{3,6},{4,7},{5}}=>{{1,8},{2,5},{3,6},{4},{7}}
[7,1,6,8,2,4,5,3]=>[7,1,6,8,2,4,5,3]=>{{1,7},{2},{3,6},{4,8},{5}}=>{{1,5},{2,8},{3,6},{4},{7}}
[3,1,7,2,8,4,6,5]=>[7,1,3,2,6,4,8,5]=>{{1,7,8},{2},{3},{4},{5,6}}=>{{1,2,8},{3,4},{5},{6},{7}}
[3,1,2,7,8,5,6,4]=>[7,3,5,1,2,4,8,6]=>{{1,7,8},{2,3,5},{4},{6}}=>{{1,2,8},{3},{4,6,7},{5}}
[3,1,8,2,7,4,6,5]=>[8,1,7,3,4,2,6,5]=>{{1,8},{2},{3,7},{4},{5},{6}}=>{{1,8},{2,6},{3},{4},{5},{7}}
[5,1,8,2,7,4,6,3]=>[8,1,5,2,4,3,7,6]=>{{1,8},{2},{3,5},{4},{6},{7}}=>{{1,8},{2},{3},{4,6},{5},{7}}
[1,5,8,3,7,4,6,2]=>[8,1,5,3,7,2,4,6]=>{{1,8},{2},{3,5,7},{4},{6}}=>{{1,8},{2,4,6},{3},{5},{7}}
[1,6,8,7,3,4,5,2]=>[8,1,6,7,3,2,4,5]=>{{1,8},{2},{3,6},{4,7},{5}}=>{{1,8},{2,5},{3,6},{4},{7}}
[3,2,5,4,7,1,8,6]=>[3,2,5,4,7,1,8,6]=>{{1,3,5,7,8},{2},{4},{6}}=>{{1,2,4,6,8},{3},{5},{7}}
[4,2,5,3,7,6,8,1]=>[4,2,5,1,7,3,8,6]=>{{1,4},{2},{3,5,7,8},{6}}=>{{1,2,4,6},{3},{5,8},{7}}
[4,2,5,3,7,1,8,6]=>[4,2,5,3,7,1,8,6]=>{{1,4},{2},{3,5,7,8},{6}}=>{{1,2,4,6},{3},{5,8},{7}}
[4,2,5,3,6,1,8,7]=>[4,2,5,3,6,1,8,7]=>{{1,4},{2},{3,5,6},{7,8}}=>{{1,2},{3,4,6},{5,8},{7}}
[3,1,5,4,6,2,8,7]=>[3,1,5,4,6,2,8,7]=>{{1,3,5,6},{2},{4},{7,8}}=>{{1,2},{3,4,6,8},{5},{7}}
[4,1,5,3,6,2,8,7]=>[4,1,5,3,6,2,8,7]=>{{1,4},{2},{3,5,6},{7,8}}=>{{1,2},{3,4,6},{5,8},{7}}
[4,3,6,2,7,5,8,1]=>[4,3,6,2,7,5,8,1]=>{{1,4},{2,3,6},{5,7,8}}=>{{1,2,4},{3,6,7},{5,8}}
[4,3,6,2,7,1,8,5]=>[4,3,6,5,7,2,8,1]=>{{1,4,5,7,8},{2,3,6}}=>{{1,2,4,5,8},{3,6,7}}
[4,3,6,1,7,2,8,5]=>[4,1,6,3,7,5,8,2]=>{{1,4},{2},{3,6},{5,7,8}}=>{{1,2,4},{3,6},{5,8},{7}}
[4,3,5,1,7,2,8,6]=>[4,1,5,3,7,6,8,2]=>{{1,4},{2},{3,5,7,8},{6}}=>{{1,2,4,6},{3},{5,8},{7}}
[3,1,5,4,7,2,8,6]=>[3,1,5,4,7,2,8,6]=>{{1,3,5,7,8},{2},{4},{6}}=>{{1,2,4,6,8},{3},{5},{7}}
[2,1,5,4,7,3,8,6]=>[2,1,5,4,7,3,8,6]=>{{1,2},{3,5,7,8},{4},{6}}=>{{1,2,4,6},{3},{5},{7,8}}
[4,1,5,3,7,6,8,2]=>[4,3,5,1,7,2,8,6]=>{{1,4},{2,3,5,7,8},{6}}=>{{1,2,4,6,7},{3},{5,8}}
[4,3,5,1,7,6,8,2]=>[4,3,5,1,7,6,8,2]=>{{1,4},{2,3,5,7,8},{6}}=>{{1,2,4,6,7},{3},{5,8}}
[4,3,6,1,7,5,8,2]=>[4,3,6,1,7,5,8,2]=>{{1,4},{2,3,6},{5,7,8}}=>{{1,2,4},{3,6,7},{5,8}}
[4,3,6,5,7,1,8,2]=>[4,3,6,5,7,1,8,2]=>{{1,4,5,7,8},{2,3,6}}=>{{1,2,4,5,8},{3,6,7}}
[5,3,6,4,7,2,8,1]=>[5,3,6,2,7,1,8,4]=>{{1,5,7,8},{2,3,6},{4}}=>{{1,2,4,8},{3,6,7},{5}}
[5,3,6,4,7,1,8,2]=>[5,3,6,4,7,1,8,2]=>{{1,5,7,8},{2,3,6},{4}}=>{{1,2,4,8},{3,6,7},{5}}
[5,3,6,1,7,4,8,2]=>[5,3,6,1,7,4,8,2]=>{{1,5,7,8},{2,3,6},{4}}=>{{1,2,4,8},{3,6,7},{5}}
[5,1,6,3,7,4,8,2]=>[5,3,6,1,7,2,8,4]=>{{1,5,7,8},{2,3,6},{4}}=>{{1,2,4,8},{3,6,7},{5}}
[4,1,6,3,7,5,8,2]=>[4,3,6,1,7,2,8,5]=>{{1,4},{2,3,6},{5,7,8}}=>{{1,2,4},{3,6,7},{5,8}}
[2,1,6,4,7,5,8,3]=>[6,2,4,1,7,3,8,5]=>{{1,6},{2},{3,4},{5,7,8}}=>{{1,2,4},{3,8},{5,6},{7}}
[2,1,6,4,7,3,8,5]=>[2,1,6,4,7,3,8,5]=>{{1,2},{3,6},{4},{5,7,8}}=>{{1,2,4},{3,6},{5},{7,8}}
[3,1,6,4,7,2,8,5]=>[3,1,6,4,7,2,8,5]=>{{1,3,6},{2},{4},{5,7,8}}=>{{1,2,4},{3,6,8},{5},{7}}
[4,1,6,3,7,2,8,5]=>[4,1,6,3,7,2,8,5]=>{{1,4},{2},{3,6},{5,7,8}}=>{{1,2,4},{3,6},{5,8},{7}}
[5,1,6,3,7,2,8,4]=>[5,1,6,3,7,2,8,4]=>{{1,5,7,8},{2},{3,6},{4}}=>{{1,2,4,8},{3,6},{5},{7}}
[5,3,6,1,7,2,8,4]=>[5,1,6,3,7,4,8,2]=>{{1,5,7,8},{2},{3,6},{4}}=>{{1,2,4,8},{3,6},{5},{7}}
[5,3,6,2,7,1,8,4]=>[5,3,6,4,7,2,8,1]=>{{1,5,7,8},{2,3,6},{4}}=>{{1,2,4,8},{3,6,7},{5}}
[5,3,6,2,7,4,8,1]=>[5,3,6,2,7,4,8,1]=>{{1,5,7,8},{2,3,6},{4}}=>{{1,2,4,8},{3,6,7},{5}}
[5,2,6,3,7,4,8,1]=>[5,2,6,1,7,3,8,4]=>{{1,5,7,8},{2},{3,6},{4}}=>{{1,2,4,8},{3,6},{5},{7}}
[5,2,6,3,7,1,8,4]=>[5,2,6,3,7,1,8,4]=>{{1,5,7,8},{2},{3,6},{4}}=>{{1,2,4,8},{3,6},{5},{7}}
[5,2,6,1,7,3,8,4]=>[5,2,6,3,7,4,8,1]=>{{1,5,7,8},{2},{3,6},{4}}=>{{1,2,4,8},{3,6},{5},{7}}
[4,2,5,1,7,3,8,6]=>[4,2,5,3,7,6,8,1]=>{{1,4},{2},{3,5,7,8},{6}}=>{{1,2,4,6},{3},{5,8},{7}}
[4,2,6,1,7,3,8,5]=>[4,2,6,3,7,5,8,1]=>{{1,4},{2},{3,6},{5,7,8}}=>{{1,2,4},{3,6},{5,8},{7}}
[4,2,6,3,7,1,8,5]=>[4,2,6,3,7,1,8,5]=>{{1,4},{2},{3,6},{5,7,8}}=>{{1,2,4},{3,6},{5,8},{7}}
[4,2,6,3,7,5,8,1]=>[4,2,6,1,7,3,8,5]=>{{1,4},{2},{3,6},{5,7,8}}=>{{1,2,4},{3,6},{5,8},{7}}
[3,2,6,4,7,5,8,1]=>[3,2,6,1,7,4,8,5]=>{{1,3,6},{2},{4},{5,7,8}}=>{{1,2,4},{3,6,8},{5},{7}}
[3,2,6,4,7,1,8,5]=>[3,2,6,4,7,1,8,5]=>{{1,3,6},{2},{4},{5,7,8}}=>{{1,2,4},{3,6,8},{5},{7}}
[3,2,6,1,7,4,8,5]=>[3,2,6,4,7,5,8,1]=>{{1,3,6},{2},{4},{5,7,8}}=>{{1,2,4},{3,6,8},{5},{7}}
[3,2,5,1,7,4,8,6]=>[3,2,5,4,7,6,8,1]=>{{1,3,5,7,8},{2},{4},{6}}=>{{1,2,4,6,8},{3},{5},{7}}
[3,2,5,1,7,6,8,4]=>[3,2,5,1,7,6,8,4]=>{{1,3,5,7,8},{2},{4},{6}}=>{{1,2,4,6,8},{3},{5},{7}}
[3,2,6,1,7,5,8,4]=>[3,2,6,1,7,5,8,4]=>{{1,3,6},{2},{4},{5,7,8}}=>{{1,2,4},{3,6,8},{5},{7}}
[3,2,6,5,7,1,8,4]=>[3,2,6,5,7,1,8,4]=>{{1,3,6},{2},{4,5,7,8}}=>{{1,2,4,5},{3,6,8},{7}}
[4,2,6,5,7,1,8,3]=>[4,2,6,5,7,1,8,3]=>{{1,4,5,7,8},{2},{3,6}}=>{{1,2,4,5,8},{3,6},{7}}
[4,2,6,1,7,5,8,3]=>[4,2,6,1,7,5,8,3]=>{{1,4},{2},{3,6},{5,7,8}}=>{{1,2,4},{3,6},{5,8},{7}}
[4,2,5,1,7,6,8,3]=>[4,2,5,1,7,6,8,3]=>{{1,4},{2},{3,5,7,8},{6}}=>{{1,2,4,6},{3},{5,8},{7}}
[3,1,5,2,7,6,8,4]=>[7,3,5,1,6,2,8,4]=>{{1,7,8},{2,3,5,6},{4}}=>{{1,2,8},{3,4,6,7},{5}}
[2,1,6,3,7,5,8,4]=>[6,2,5,1,7,3,8,4]=>{{1,6},{2},{3,5,7,8},{4}}=>{{1,2,4,6},{3,8},{5},{7}}
[3,1,6,2,7,5,8,4]=>[6,3,5,1,7,2,8,4]=>{{1,6},{2,3,5,7,8},{4}}=>{{1,2,4,6,7},{3,8},{5}}
[5,1,6,2,7,4,8,3]=>[5,4,6,1,7,2,8,3]=>{{1,5,7,8},{2,4},{3,6}}=>{{1,2,4,8},{3,6},{5,7}}
[5,2,6,1,7,4,8,3]=>[5,2,6,1,7,4,8,3]=>{{1,5,7,8},{2},{3,6},{4}}=>{{1,2,4,8},{3,6},{5},{7}}
[5,2,6,4,7,1,8,3]=>[5,2,6,4,7,1,8,3]=>{{1,5,7,8},{2},{3,6},{4}}=>{{1,2,4,8},{3,6},{5},{7}}
[5,2,6,4,7,3,8,1]=>[5,4,6,2,7,1,8,3]=>{{1,5,7,8},{2,4},{3,6}}=>{{1,2,4,8},{3,6},{5,7}}
[5,4,6,2,7,3,8,1]=>[5,4,6,2,7,3,8,1]=>{{1,5,7,8},{2,4},{3,6}}=>{{1,2,4,8},{3,6},{5,7}}
[5,4,6,2,7,1,8,3]=>[5,2,6,4,7,3,8,1]=>{{1,5,7,8},{2},{3,6},{4}}=>{{1,2,4,8},{3,6},{5},{7}}
[5,4,6,1,7,2,8,3]=>[5,1,6,2,7,4,8,3]=>{{1,5,7,8},{2},{3,6},{4}}=>{{1,2,4,8},{3,6},{5},{7}}
[5,1,6,4,7,2,8,3]=>[5,1,6,4,7,2,8,3]=>{{1,5,7,8},{2},{3,6},{4}}=>{{1,2,4,8},{3,6},{5},{7}}
[4,1,6,5,7,2,8,3]=>[4,1,6,5,7,2,8,3]=>{{1,4,5,7,8},{2},{3,6}}=>{{1,2,4,5,8},{3,6},{7}}
[3,1,6,5,7,2,8,4]=>[3,1,6,5,7,2,8,4]=>{{1,3,6},{2},{4,5,7,8}}=>{{1,2,4,5},{3,6,8},{7}}
[2,1,6,5,7,3,8,4]=>[2,1,6,5,7,3,8,4]=>{{1,2},{3,6},{4,5,7,8}}=>{{1,2,4,5},{3,6},{7,8}}
[5,1,6,4,7,3,8,2]=>[5,4,6,3,7,1,8,2]=>{{1,5,7,8},{2,4},{3,6}}=>{{1,2,4,8},{3,6},{5,7}}
[5,4,6,1,7,3,8,2]=>[5,4,6,1,7,3,8,2]=>{{1,5,7,8},{2,4},{3,6}}=>{{1,2,4,8},{3,6},{5,7}}
[5,4,6,3,7,1,8,2]=>[5,1,6,4,7,3,8,2]=>{{1,5,7,8},{2},{3,6},{4}}=>{{1,2,4,8},{3,6},{5},{7}}
[8,1,5,6,4,3,2,7]=>[1,8,5,4,3,6,7,2]=>{{1},{2,8},{3,5},{4},{6},{7}}=>{{1,7},{2},{3},{4,6},{5},{8}}
[8,5,7,4,3,2,6,1]=>[8,5,7,4,3,2,6,1]=>{{1,8},{2,5},{3,7},{4},{6}}=>{{1,8},{2,6},{3},{4,7},{5}}
[2,7,6,8,1,4,3,5]=>[2,7,6,8,1,4,3,5]=>{{1,2,7},{3,6},{4,8},{5}}=>{{1,5},{2,7,8},{3,6},{4}}
[3,7,1,6,4,8,2,5]=>[3,7,1,6,4,8,2,5]=>{{1,3},{2,7},{4,6,8},{5}}=>{{1,3,5},{2,7},{4},{6,8}}
[2,1,6,5,7,8,3,4]=>[2,6,1,5,7,3,8,4]=>{{1,2,6},{3},{4,5,7,8}}=>{{1,2,4,5},{3,7,8},{6}}
[3,7,2,6,4,8,1,5]=>[3,7,2,6,4,8,1,5]=>{{1,3},{2,7},{4,6,8},{5}}=>{{1,3,5},{2,7},{4},{6,8}}
[8,5,7,3,2,1,6,4]=>[5,3,8,7,6,2,4,1]=>{{1,5,6},{2,3,8},{4,7}}=>{{1,6,7},{2,5},{3,4,8}}
[3,7,8,6,2,1,5,4]=>[3,2,7,6,5,1,4,8]=>{{1,3,7},{2},{4,6},{5},{8}}=>{{1},{2,6,8},{3,5},{4},{7}}
[8,5,3,7,1,6,2,4]=>[1,5,3,8,2,7,6,4]=>{{1},{2,5},{3},{4,8},{6,7}}=>{{1,5},{2,3},{4,7},{6},{8}}
[8,2,6,7,1,3,5,4]=>[8,2,6,7,1,3,5,4]=>{{1,8},{2},{3,6},{4,7},{5}}=>{{1,8},{2,5},{3,6},{4},{7}}
[8,3,6,1,7,5,2,4]=>[3,8,6,1,7,2,5,4]=>{{1,3,6},{2,8},{4},{5,7}}=>{{1,7},{2,4},{3,6,8},{5}}
[2,7,6,8,5,4,1,3]=>[2,7,6,5,1,4,3,8]=>{{1,2,7},{3,6},{4,5},{8}}=>{{1},{2,7,8},{3,6},{4,5}}
[1,7,2,5,8,6,4,3]=>[7,5,4,1,2,8,3,6]=>{{1,7},{2,5},{3,4},{6,8}}=>{{1,3},{2,8},{4,7},{5,6}}
[8,4,7,6,5,1,3,2]=>[8,4,7,6,5,1,3,2]=>{{1,8},{2,4,6},{3,7},{5}}=>{{1,8},{2,6},{3,5,7},{4}}
[3,1,6,4,5,2,8,7]=>[3,1,6,4,5,2,8,7]=>{{1,3,6},{2},{4},{5},{7,8}}=>{{1,2},{3,6,8},{4},{5},{7}}
[8,1,7,4,2,6,3,5]=>[1,4,2,8,7,3,6,5]=>{{1},{2,4,8},{3},{5,7},{6}}=>{{1,5,7},{2,4},{3},{6},{8}}
[3,7,8,4,5,1,2,6]=>[3,7,8,4,5,1,2,6]=>{{1,3,8},{2,7},{4},{5},{6}}=>{{1,6,8},{2,7},{3},{4},{5}}
[5,6,3,8,1,7,2,4]=>[5,6,3,8,1,7,2,4]=>{{1,5},{2,6,7},{3},{4,8}}=>{{1,5},{2,3,7},{4,8},{6}}
[7,6,1,4,5,8,3,2]=>[7,6,1,4,5,8,3,2]=>{{1,7},{2,6,8},{3},{4},{5}}=>{{1,3,7},{2,8},{4},{5},{6}}
[7,3,8,4,2,6,1,5]=>[7,8,3,4,2,1,6,5]=>{{1,7},{2,8},{3},{4},{5},{6}}=>{{1,7},{2,8},{3},{4},{5},{6}}
[8,1,2,3,5,6,7,4]=>[8,1,2,3,5,6,7,4]=>{{1,8},{2},{3},{4},{5},{6},{7}}=>{{1,8},{2},{3},{4},{5},{6},{7}}
[7,8,2,4,3,6,1,5]=>[7,8,2,4,3,6,1,5]=>{{1,7},{2,8},{3},{4},{5},{6}}=>{{1,7},{2,8},{3},{4},{5},{6}}
[2,1,7,8,5,4,3,6]=>[2,7,5,4,1,3,8,6]=>{{1,2,7,8},{3,5},{4},{6}}=>{{1,2,7,8},{3},{4,6},{5}}
[5,7,3,8,1,4,2,6]=>[5,7,3,8,1,4,2,6]=>{{1,5},{2,7},{3},{4,8},{6}}=>{{1,5},{2,7},{3},{4,8},{6}}
[4,5,3,8,6,2,7,1]=>[4,3,5,2,1,8,6,7]=>{{1,4},{2,3,5},{6,8},{7}}=>{{1,3},{2},{4,6,7},{5,8}}
[3,5,8,4,7,6,2,1]=>[8,5,3,2,7,1,4,6]=>{{1,8},{2,5,7},{3},{4},{6}}=>{{1,8},{2,4,7},{3},{5},{6}}
[8,1,4,2,5,6,7,3]=>[4,1,2,5,8,6,7,3]=>{{1,4,5,8},{2},{3},{6},{7}}=>{{1,4,5,8},{2},{3},{6},{7}}
[2,8,4,1,5,6,7,3]=>[2,1,4,5,8,6,3,7]=>{{1,2},{3,4,5,8},{6},{7}}=>{{1,4,5,6},{2},{3},{7,8}}
[4,8,1,2,5,6,7,3]=>[8,1,4,5,6,7,2,3]=>{{1,8},{2},{3,4,5,6,7}}=>{{1,8},{2,3,4,5,6},{7}}
[3,4,8,1,5,6,7,2]=>[8,3,4,5,6,1,2,7]=>{{1,8},{2,3,4,5,6},{7}}=>{{1,8},{2},{3,4,5,6,7}}
[2,4,1,8,5,6,7,3]=>[8,2,4,5,1,6,3,7]=>{{1,8},{2},{3,4,5},{6},{7}}=>{{1,8},{2},{3},{4,5,6},{7}}
[8,3,4,1,5,6,7,2]=>[3,1,4,5,8,6,7,2]=>{{1,3,4,5,8},{2},{6},{7}}=>{{1,4,5,6,8},{2},{3},{7}}
[3,8,7,4,5,2,1,6]=>[3,8,7,4,5,2,1,6]=>{{1,3,7},{2,8},{4},{5},{6}}=>{{1,7},{2,6,8},{3},{4},{5}}
[5,6,3,1,8,2,7,4]=>[5,3,6,1,8,7,2,4]=>{{1,5,8},{2,3,6,7},{4}}=>{{1,4,8},{2,3,6,7},{5}}
[4,6,3,8,1,2,7,5]=>[4,3,6,8,1,7,2,5]=>{{1,4,8},{2,3,6,7},{5}}=>{{1,5,8},{2,3,6,7},{4}}
[3,6,2,5,4,8,1,7]=>[3,6,2,5,4,8,1,7]=>{{1,3},{2,6,8},{4,5},{7}}=>{{1,3,7},{2},{4,5},{6,8}}
[4,2,6,5,3,8,1,7]=>[4,6,2,5,3,1,8,7]=>{{1,4,5},{2,6},{3},{7,8}}=>{{1,2},{3,7},{4,5,8},{6}}
[4,6,1,5,3,8,2,7]=>[4,6,1,5,3,8,2,7]=>{{1,4,5},{2,6,8},{3},{7}}=>{{1,3,7},{2},{4,5,8},{6}}
[5,4,3,8,2,7,6,1]=>[5,4,3,8,2,7,6,1]=>{{1,5},{2,4,8},{3},{6,7}}=>{{1,5,7},{2,3},{4,8},{6}}
[4,3,6,2,8,7,5,1]=>[4,3,2,1,8,6,7,5]=>{{1,4},{2,3},{5,8},{6},{7}}=>{{1,4},{2},{3},{5,8},{6,7}}
[4,3,7,6,2,1,8,5]=>[4,3,7,6,2,1,8,5]=>{{1,4,6},{2,3,7,8},{5}}=>{{1,2,6,7},{3,5,8},{4}}
[6,4,3,8,1,7,5,2]=>[6,4,3,8,1,7,5,2]=>{{1,6,7},{2,4,8},{3},{5}}=>{{1,5,7},{2,3,8},{4},{6}}
[7,5,3,1,8,6,4,2]=>[7,5,3,1,8,6,4,2]=>{{1,7},{2,5,8},{3},{4},{6}}=>{{1,4,7},{2,8},{3},{5},{6}}
[7,6,2,8,4,1,3,5]=>[2,7,8,4,1,6,5,3]=>{{1,2,7},{3,8},{4},{5},{6}}=>{{1,6},{2,7,8},{3},{4},{5}}
[6,1,7,5,3,2,8,4]=>[6,1,7,5,3,2,8,4]=>{{1,6},{2},{3,7,8},{4,5}}=>{{1,2,6},{3,8},{4,5},{7}}
[6,5,3,2,8,7,4,1]=>[6,5,3,2,8,7,4,1]=>{{1,6,7},{2,5,8},{3},{4}}=>{{1,4,7},{2,3,8},{5},{6}}
[5,2,7,6,3,1,8,4]=>[5,2,7,6,3,1,8,4]=>{{1,5},{2},{3,7,8},{4,6}}=>{{1,2,6},{3,5},{4,8},{7}}
[2,4,8,6,3,7,5,1]=>[8,4,2,6,3,1,5,7]=>{{1,8},{2,4,6},{3},{5},{7}}=>{{1,8},{2},{3,5,7},{4},{6}}
[7,8,3,6,2,1,5,4]=>[7,3,8,6,2,5,1,4]=>{{1,7},{2,3,8},{4,6},{5}}=>{{1,6,7},{2,8},{3,5},{4}}
[8,7,3,6,2,5,4,1]=>[8,7,3,6,2,5,4,1]=>{{1,8},{2,7},{3},{4,6},{5}}=>{{1,8},{2,7},{3,5},{4},{6}}
[4,7,8,2,1,6,5,3]=>[7,4,2,6,5,1,3,8]=>{{1,7},{2,4,6},{3},{5},{8}}=>{{1},{2,8},{3,5,7},{4},{6}}
[5,4,8,2,7,1,6,3]=>[5,4,8,2,7,1,6,3]=>{{1,5,7},{2,4},{3,8},{6}}=>{{1,6},{2,4,8},{3},{5,7}}
[5,8,3,7,1,6,2,4]=>[1,8,5,7,3,6,2,4]=>{{1},{2,8},{3,5},{4,7},{6}}=>{{1,7},{2,5},{3},{4,6},{8}}
[8,6,2,7,5,1,3,4]=>[2,6,8,3,1,7,5,4]=>{{1,2,6,7},{3,8},{4},{5}}=>{{1,6},{2,3,7,8},{4},{5}}
[3,6,8,1,7,5,2,4]=>[3,8,6,5,7,1,2,4]=>{{1,3,6},{2,8},{4,5,7}}=>{{1,7},{2,4,5},{3,6,8}}
[6,5,2,8,1,7,4,3]=>[6,5,2,8,1,7,4,3]=>{{1,6,7},{2,5},{3},{4,8}}=>{{1,5},{2,3,8},{4,7},{6}}
[5,8,2,7,6,4,3,1]=>[8,7,5,4,2,6,1,3]=>{{1,8},{2,7},{3,5},{4},{6}}=>{{1,8},{2,7},{3},{4,6},{5}}
[7,6,2,1,8,5,4,3]=>[7,6,2,1,8,5,4,3]=>{{1,7},{2,6},{3},{4},{5,8}}=>{{1,4},{2,8},{3,7},{5},{6}}
[8,7,4,6,1,5,3,2]=>[8,7,4,6,1,5,3,2]=>{{1,8},{2,7},{3,4,6},{5}}=>{{1,8},{2,7},{3,5,6},{4}}
[5,4,2,3,7,6,1,8]=>[2,5,4,3,7,8,6,1]=>{{1,2,5,7},{3,4},{6,8}}=>{{1,3},{2,4,7,8},{5,6}}
[6,4,2,7,3,5,1,8]=>[2,6,4,7,3,8,5,1]=>{{1,2,6,8},{3,4,7},{5}}=>{{1,3,7,8},{2,5,6},{4}}
[8,4,2,6,3,1,5,7]=>[2,4,8,6,3,7,5,1]=>{{1,2,4,6,7},{3,8},{5}}=>{{1,6},{2,3,5,7,8},{4}}
[1,6,5,2,3,8,4,7]=>[1,6,2,3,8,5,4,7]=>{{1},{2,6},{3},{4},{5,8},{7}}=>{{1,4},{2},{3,7},{5},{6},{8}}
[5,8,6,2,3,1,4,7]=>[2,5,8,6,7,3,1,4]=>{{1,2,5,7},{3,8},{4,6}}=>{{1,6},{2,4,7,8},{3,5}}
[4,8,2,6,3,1,5,7]=>[2,4,8,6,3,7,1,5]=>{{1,2,4,6,7},{3,8},{5}}=>{{1,6},{2,3,5,7,8},{4}}
[1,8,5,2,7,3,4,6]=>[1,2,5,3,8,7,4,6]=>{{1},{2},{3,5,8},{4},{6,7}}=>{{1,4,6},{2,3},{5},{7},{8}}
[3,2,8,7,1,4,5,6]=>[3,4,5,8,2,1,7,6]=>{{1,3,5},{2,4,8},{6},{7}}=>{{1,5,7},{2},{3},{4,6,8}}
[3,2,5,4,1,8,6,7]=>[3,5,2,6,4,1,8,7]=>{{1,3},{2,5},{4,6},{7,8}}=>{{1,2},{3,5},{4,7},{6,8}}
[4,5,2,3,1,8,6,7]=>[4,5,2,6,3,8,1,7]=>{{1,4,6,8},{2,5},{3},{7}}=>{{1,3,5,8},{2},{4,7},{6}}
[4,6,2,1,3,8,5,7]=>[2,4,3,6,8,5,1,7]=>{{1,2,4,6},{3},{5,8},{7}}=>{{1,4},{2},{3,5,7,8},{6}}
[3,2,8,1,7,4,5,6]=>[3,4,5,2,8,1,7,6]=>{{1,3,5,8},{2,4},{6},{7}}=>{{1,4,6,8},{2},{3},{5,7}}
[3,2,1,8,7,4,5,6]=>[3,4,5,2,1,8,7,6]=>{{1,3,5},{2,4},{6,8},{7}}=>{{1,3},{2},{4,6,8},{5,7}}
[8,5,2,7,4,1,3,6]=>[2,5,8,4,1,7,6,3]=>{{1,2,5},{3,8},{4},{6,7}}=>{{1,6},{2,3},{4,7,8},{5}}
[3,4,7,8,5,2,1,6]=>[7,8,3,2,1,4,5,6]=>{{1,7},{2,8},{3},{4},{5},{6}}=>{{1,7},{2,8},{3},{4},{5},{6}}
[2,1,8,5,7,3,4,6]=>[2,3,8,1,5,4,7,6]=>{{1,2,3,8},{4},{5},{6},{7}}=>{{1,6,7,8},{2},{3},{4},{5}}
[7,5,4,8,1,6,3,2]=>[7,5,4,8,1,6,3,2]=>{{1,7},{2,5},{3,4,8},{6}}=>{{1,5,6},{2,8},{3},{4,7}}
[4,1,6,3,8,5,7,2]=>[4,1,3,2,6,5,8,7]=>{{1,4},{2},{3},{5,6},{7,8}}=>{{1,2},{3,4},{5,8},{6},{7}}
[7,4,1,3,5,8,6,2]=>[7,4,1,3,5,8,6,2]=>{{1,7},{2,4},{3},{5},{6,8}}=>{{1,3},{2,8},{4},{5,7},{6}}
[8,5,3,7,4,1,6,2]=>[5,3,8,4,1,7,6,2]=>{{1,5},{2,3,8},{4},{6,7}}=>{{1,6,7},{2,3},{4,8},{5}}
[8,3,1,2,5,7,6,4]=>[8,3,1,2,5,7,6,4]=>{{1,8},{2,3},{4},{5},{6,7}}=>{{1,8},{2,3},{4},{5},{6,7}}
[2,7,8,5,4,3,1,6]=>[7,8,5,4,2,1,3,6]=>{{1,7},{2,8},{3,5},{4},{6}}=>{{1,7},{2,8},{3},{4,6},{5}}
[3,8,6,7,2,4,1,5]=>[3,8,6,7,2,4,1,5]=>{{1,3,6},{2,8},{4,7},{5}}=>{{1,7},{2,5},{3,6,8},{4}}
[4,3,8,7,2,1,6,5]=>[4,3,8,7,2,1,6,5]=>{{1,4,7},{2,3,8},{5},{6}}=>{{1,6,7},{2,5,8},{3},{4}}
[8,3,6,1,4,2,7,5]=>[3,1,8,6,7,4,5,2]=>{{1,3,8},{2},{4,6},{5,7}}=>{{1,6,8},{2,4},{3,5},{7}}
[5,3,6,1,8,7,2,4]=>[5,6,3,1,8,2,7,4]=>{{1,5,8},{2,6},{3},{4},{7}}=>{{1,4,8},{2},{3,7},{5},{6}}
[6,7,3,5,2,1,8,4]=>[6,3,7,5,2,8,1,4]=>{{1,6,8},{2,3,7},{4,5}}=>{{1,3,8},{2,6,7},{4,5}}
[4,1,2,5,8,6,7,3]=>[8,1,4,2,5,6,7,3]=>{{1,8},{2},{3,4},{5},{6},{7}}=>{{1,8},{2},{3},{4},{5,6},{7}}
[4,5,2,6,3,1,8,7]=>[4,2,5,3,1,8,6,7]=>{{1,4},{2},{3,5},{6,8},{7}}=>{{1,3},{2},{4,6},{5,8},{7}}
[6,5,2,1,4,3,8,7]=>[2,1,6,5,8,7,4,3]=>{{1,2},{3,6,7},{4,5,8}}=>{{1,4,5},{2,3,6},{7,8}}
[6,3,7,5,2,8,4,1]=>[6,3,2,7,5,1,8,4]=>{{1,6},{2,3},{4,7,8},{5}}=>{{1,2,5},{3,8},{4},{6,7}}
[3,1,6,5,4,2,8,7]=>[3,1,6,5,4,2,8,7]=>{{1,3,6},{2},{4,5},{7,8}}=>{{1,2},{3,6,8},{4,5},{7}}
[8,7,2,3,4,1,6,5]=>[2,1,8,3,4,7,6,5]=>{{1,2},{3,8},{4},{5},{6,7}}=>{{1,6},{2,3},{4},{5},{7,8}}
[5,1,7,3,8,4,6,2]=>[5,1,3,2,7,4,8,6]=>{{1,5,7,8},{2},{3},{4},{6}}=>{{1,2,4,8},{3},{5},{6},{7}}
[7,6,1,3,5,8,4,2]=>[7,6,1,3,5,8,4,2]=>{{1,7},{2,6,8},{3},{4},{5}}=>{{1,3,7},{2,8},{4},{5},{6}}
[2,1,6,7,4,8,5,3]=>[6,2,1,4,3,7,8,5]=>{{1,6,7,8},{2},{3},{4},{5}}=>{{1,2,3,8},{4},{5},{6},{7}}
[2,1,8,7,4,3,6,5]=>[2,1,8,7,4,3,6,5]=>{{1,2},{3,8},{4,7},{5},{6}}=>{{1,6},{2,5},{3},{4},{7,8}}
[3,8,7,4,1,2,6,5]=>[3,1,4,8,7,6,2,5]=>{{1,3,4,8},{2},{5,7},{6}}=>{{1,5,6,8},{2,4},{3},{7}}
[7,8,1,3,5,2,6,4]=>[7,1,8,3,5,6,2,4]=>{{1,7},{2},{3,8},{4},{5},{6}}=>{{1,6},{2,8},{3},{4},{5},{7}}
[8,1,6,3,2,5,4,7]=>[1,3,2,8,6,5,7,4]=>{{1},{2,3},{4,8},{5,6},{7}}=>{{1,5},{2},{3,4},{6,7},{8}}
[2,8,4,1,6,3,7,5]=>[2,1,4,3,8,6,5,7]=>{{1,2},{3,4},{5,8},{6},{7}}=>{{1,4},{2},{3},{5,6},{7,8}}
[2,4,1,8,7,6,5,3]=>[8,7,6,2,1,4,3,5]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[5,6,2,1,8,7,3,4]=>[5,6,2,1,8,7,3,4]=>{{1,5,8},{2,6,7},{3},{4}}=>{{1,4,8},{2,3,7},{5},{6}}
[4,7,2,8,1,5,3,6]=>[4,7,2,8,1,5,3,6]=>{{1,4,8},{2,7},{3},{5},{6}}=>{{1,5,8},{2,7},{3},{4},{6}}
[8,7,2,1,4,5,6,3]=>[2,1,4,5,8,7,6,3]=>{{1,2},{3,4,5,8},{6,7}}=>{{1,4,5,6},{2,3},{7,8}}
[5,7,3,8,1,4,6,2]=>[5,3,7,8,1,4,2,6]=>{{1,5},{2,3,7},{4,8},{6}}=>{{1,5},{2,6,7},{3},{4,8}}
[6,5,3,8,4,1,2,7]=>[3,6,8,5,1,7,4,2]=>{{1,3,8},{2,6,7},{4,5}}=>{{1,6,8},{2,3,7},{4,5}}
[6,8,2,4,3,5,1,7]=>[2,6,4,5,3,8,1,7]=>{{1,2,6,8},{3,4,5},{7}}=>{{1,3,7,8},{2},{4,5,6}}
[2,8,4,1,6,5,3,7]=>[2,8,4,1,6,5,3,7]=>{{1,2,8},{3,4},{5,6},{7}}=>{{1,7,8},{2},{3,4},{5,6}}
[7,5,8,2,4,1,6,3]=>[7,2,8,5,6,1,4,3]=>{{1,7},{2},{3,8},{4,5,6}}=>{{1,6},{2,8},{3,4,5},{7}}
[6,5,8,2,1,3,7,4]=>[6,2,5,8,7,3,4,1]=>{{1,6},{2},{3,5,7},{4,8}}=>{{1,5},{2,4,6},{3,8},{7}}
[5,1,2,6,4,8,7,3]=>[5,4,1,6,2,3,8,7]=>{{1,5},{2,4,6},{3},{7,8}}=>{{1,2},{3,5,7},{4,8},{6}}
[4,1,8,3,6,2,7,5]=>[4,1,8,3,6,2,7,5]=>{{1,4},{2},{3,8},{5,6},{7}}=>{{1,6},{2},{3,4},{5,8},{7}}
[7,1,6,5,8,3,2,4]=>[7,8,6,1,5,3,4,2]=>{{1,7},{2,8},{3,6},{4},{5}}=>{{1,7},{2,8},{3,6},{4},{5}}
[3,5,6,2,4,8,7,1]=>[3,2,1,5,8,4,6,7]=>{{1,3},{2},{4,5,8},{6},{7}}=>{{1,4,5},{2},{3},{6,8},{7}}
[7,5,2,6,3,8,4,1]=>[7,5,2,6,3,8,4,1]=>{{1,7},{2,5},{3},{4,6,8}}=>{{1,3,5},{2,8},{4,7},{6}}
[4,1,2,6,8,5,7,3]=>[6,4,5,1,2,3,8,7]=>{{1,6},{2,4},{3,5},{7,8}}=>{{1,2},{3,8},{4,6},{5,7}}
[4,5,2,6,3,7,8,1]=>[4,2,5,6,1,7,3,8]=>{{1,4,6,7},{2},{3,5},{8}}=>{{1},{2,3,5,8},{4,6},{7}}
[6,3,1,4,7,2,5,8]=>[3,6,7,1,4,8,5,2]=>{{1,3,7},{2,6,8},{4},{5}}=>{{1,3,7},{2,6,8},{4},{5}}
[7,8,3,4,5,1,6,2]=>[7,3,8,4,5,6,1,2]=>{{1,7},{2,3,8},{4},{5},{6}}=>{{1,6,7},{2,8},{3},{4},{5}}
[7,8,1,6,5,4,3,2]=>[7,6,5,4,3,8,1,2]=>{{1,7},{2,6,8},{3,5},{4}}=>{{1,3,7},{2,8},{4,6},{5}}
[6,1,2,5,8,7,4,3]=>[6,5,4,1,2,3,8,7]=>{{1,6},{2,5},{3,4},{7,8}}=>{{1,2},{3,8},{4,7},{5,6}}
[6,4,3,7,5,8,1,2]=>[6,7,4,5,1,8,3,2]=>{{1,6,8},{2,7},{3,4,5}}=>{{1,3,8},{2,7},{4,5,6}}
[2,7,5,8,3,6,1,4]=>[7,8,5,6,2,3,1,4]=>{{1,7},{2,8},{3,5},{4,6}}=>{{1,7},{2,8},{3,5},{4,6}}
[2,6,8,5,3,1,4,7]=>[2,6,8,5,3,1,4,7]=>{{1,2,6},{3,8},{4,5},{7}}=>{{1,6},{2},{3,7,8},{4,5}}
[2,6,1,4,7,3,5,8]=>[2,6,7,1,4,8,3,5]=>{{1,2,6,8},{3,7},{4},{5}}=>{{1,3,7,8},{2,6},{4},{5}}
[4,6,7,5,2,1,3,8]=>[4,6,7,5,2,1,3,8]=>{{1,4,5},{2,6},{3,7},{8}}=>{{1},{2,6},{3,7},{4,5,8}}
[4,5,6,7,2,8,1,3]=>[4,5,2,3,1,6,7,8]=>{{1,4},{2,5},{3},{6},{7},{8}}=>{{1},{2},{3},{4,7},{5,8},{6}}
[5,1,6,3,4,2,8,7]=>[5,1,6,3,4,2,8,7]=>{{1,5},{2},{3,6},{4},{7,8}}=>{{1,2},{3,6},{4,8},{5},{7}}
[5,7,1,4,2,3,8,6]=>[5,1,2,7,4,8,3,6]=>{{1,5},{2},{3},{4,7},{6,8}}=>{{1,3},{2,5},{4,8},{6},{7}}
[6,2,4,1,8,3,7,5]=>[6,2,4,1,8,3,7,5]=>{{1,6},{2},{3,4},{5,8},{7}}=>{{1,4},{2},{3,8},{5,6},{7}}
[6,1,3,4,5,8,7,2]=>[6,3,1,2,4,5,8,7]=>{{1,6},{2,3},{4},{5},{7,8}}=>{{1,2},{3,8},{4},{5},{6,7}}
[5,1,4,2,7,6,8,3]=>[5,1,4,2,7,6,8,3]=>{{1,5,7,8},{2},{3,4},{6}}=>{{1,2,4,8},{3},{5,6},{7}}
[4,2,7,8,1,6,3,5]=>[4,7,2,8,1,3,6,5]=>{{1,4,8},{2,7},{3},{5},{6}}=>{{1,5,8},{2,7},{3},{4},{6}}
[3,1,7,4,5,6,8,2]=>[7,3,4,5,6,1,8,2]=>{{1,7,8},{2,3,4,5,6}}=>{{1,2,8},{3,4,5,6,7}}
[3,7,6,8,5,2,1,4]=>[3,7,6,5,2,4,1,8]=>{{1,3,6},{2,7},{4,5},{8}}=>{{1},{2,7},{3,6,8},{4,5}}
[3,8,7,6,5,4,1,2]=>[3,8,7,6,5,4,1,2]=>{{1,3,7},{2,8},{4,6},{5}}=>{{1,7},{2,6,8},{3,5},{4}}
[3,6,2,7,1,4,8,5]=>[3,2,6,7,4,5,1,8]=>{{1,3,6},{2},{4,7},{5},{8}}=>{{1},{2,5},{3,6,8},{4},{7}}
[6,3,7,4,1,2,8,5]=>[6,3,7,8,4,1,5,2]=>{{1,6},{2,3,7},{4,8},{5}}=>{{1,5},{2,6,7},{3,8},{4}}
[3,7,6,1,4,8,2,5]=>[3,7,1,6,8,4,2,5]=>{{1,3},{2,7},{4,6},{5,8}}=>{{1,4},{2,7},{3,5},{6,8}}
[5,8,2,6,3,7,1,4]=>[5,8,2,6,3,7,1,4]=>{{1,5},{2,8},{3},{4,6,7}}=>{{1,7},{2,3,5},{4,8},{6}}
[6,3,7,5,8,1,2,4]=>[6,7,8,1,3,2,5,4]=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}
[7,4,6,3,8,1,2,5]=>[4,7,8,1,6,3,5,2]=>{{1,4},{2,7},{3,8},{5,6}}=>{{1,6},{2,7},{3,4},{5,8}}
[8,6,1,7,5,2,3,4]=>[1,2,8,6,3,7,5,4]=>{{1},{2},{3,8},{4,6,7},{5}}=>{{1,6},{2,3,5},{4},{7},{8}}
[5,7,2,8,1,6,3,4]=>[5,7,2,8,1,6,3,4]=>{{1,5},{2,7},{3},{4,8},{6}}=>{{1,5},{2,7},{3},{4,8},{6}}
[3,6,8,2,7,1,4,5]=>[3,6,8,2,7,1,4,5]=>{{1,3,8},{2,6},{4},{5,7}}=>{{1,6,8},{2,4},{3,7},{5}}
[8,3,7,6,1,2,4,5]=>[1,3,4,8,7,2,6,5]=>{{1},{2,3,4,8},{5,7},{6}}=>{{1,5,6,7},{2,4},{3},{8}}
[4,6,8,2,7,1,3,5]=>[4,6,8,2,7,1,3,5]=>{{1,4},{2,6},{3,8},{5,7}}=>{{1,6},{2,4},{3,7},{5,8}}
[4,7,1,8,6,2,3,5]=>[1,4,7,6,2,8,3,5]=>{{1},{2,4,6,8},{3,7},{5}}=>{{1,3,5,7},{2,6},{4},{8}}
[2,8,7,6,1,3,4,5]=>[2,3,4,8,7,6,1,5]=>{{1,2,3,4,8},{5,7},{6}}=>{{1,5,6,7,8},{2,4},{3}}
[3,8,7,6,1,2,4,5]=>[1,3,4,8,7,6,2,5]=>{{1},{2,3,4,8},{5,7},{6}}=>{{1,5,6,7},{2,4},{3},{8}}
[5,6,3,1,4,2,8,7]=>[5,3,6,4,8,7,1,2]=>{{1,5,8},{2,3,6,7},{4}}=>{{1,4,8},{2,3,6,7},{5}}
[7,5,3,8,2,1,6,4]=>[7,5,8,6,3,4,2,1]=>{{1,7},{2,5},{3,8},{4,6}}=>{{1,6},{2,8},{3,5},{4,7}}
[6,7,1,4,5,8,2,3]=>[6,7,1,4,5,8,2,3]=>{{1,6,8},{2,7},{3},{4},{5}}=>{{1,3,8},{2,7},{4},{5},{6}}
[5,7,3,8,1,2,6,4]=>[5,3,7,8,1,6,2,4]=>{{1,5},{2,3,7},{4,8},{6}}=>{{1,5},{2,6,7},{3},{4,8}}
[2,7,8,4,1,6,5,3]=>[7,6,2,8,4,1,3,5]=>{{1,7},{2,6},{3},{4,8},{5}}=>{{1,5},{2,8},{3,7},{4},{6}}
[7,1,8,4,2,6,5,3]=>[7,6,1,8,4,2,5,3]=>{{1,7},{2,6},{3},{4,8},{5}}=>{{1,5},{2,8},{3,7},{4},{6}}
[8,7,1,4,2,6,5,3]=>[8,4,1,7,2,6,5,3]=>{{1,8},{2,4,7},{3},{5},{6}}=>{{1,8},{2,5,7},{3},{4},{6}}
[2,3,4,5,6,8,9,1,7]=>[2,8,1,3,4,5,6,7,9]=>{{1,2,8},{3},{4},{5},{6},{7},{9}}=>{{1},{2,8,9},{3},{4},{5},{6},{7}}
[3,4,5,6,7,8,9,1,2]=>[3,4,1,2,5,6,7,8,9]=>{{1,3},{2,4},{5},{6},{7},{8},{9}}=>{{1},{2},{3},{4},{5},{6,8},{7,9}}
[2,3,4,5,6,7,8,9,10,1]=>[2,1,3,4,5,6,7,8,9,10]=>{{1,2},{3},{4},{5},{6},{7},{8},{9},{10}}=>{{1},{2},{3},{4},{5},{6},{7},{8},{9,10}}
[2,3,4,5,6,7,8,10,1,9]=>[2,10,1,3,4,5,6,7,8,9]=>{{1,2,10},{3},{4},{5},{6},{7},{8},{9}}=>{{1,9,10},{2},{3},{4},{5},{6},{7},{8}}
[3,4,5,6,7,8,9,10,1,2]=>[3,4,1,2,5,6,7,8,9,10]=>{{1,3},{2,4},{5},{6},{7},{8},{9},{10}}=>{{1},{2},{3},{4},{5},{6},{7,9},{8,10}}
[2,7,6,3,4,5,8,1]=>[7,2,3,4,6,5,1,8]=>{{1,7},{2},{3},{4},{5,6},{8}}=>{{1},{2,8},{3,4},{5},{6},{7}}
[8,6,5,2,3,7,1,4]=>[6,8,2,3,7,5,4,1]=>{{1,6},{2,8},{3},{4},{5,7}}=>{{1,7},{2,4},{3,8},{5},{6}}
[4,2,6,5,1,8,3,7]=>[4,6,2,8,5,1,7,3]=>{{1,4,8},{2,6},{3},{5},{7}}=>{{1,5,8},{2},{3,7},{4},{6}}
[6,8,3,5,2,7,1,4]=>[6,8,3,5,2,7,1,4]=>{{1,6,7},{2,8},{3},{4,5}}=>{{1,7},{2,3,8},{4,5},{6}}
[1,8,2,7,3,4,5,6]=>[1,2,3,8,4,7,5,6]=>{{1},{2},{3},{4,8},{5},{6,7}}=>{{1,5},{2,3},{4},{6},{7},{8}}
[2,8,1,7,3,4,5,6]=>[2,3,4,8,5,7,1,6]=>{{1,2,3,4,8},{5},{6,7}}=>{{1,5,6,7,8},{2,3},{4}}
[4,8,1,5,7,2,3,6]=>[1,4,8,2,5,7,3,6]=>{{1},{2,4},{3,8},{5},{6,7}}=>{{1,6},{2,3},{4},{5,7},{8}}
[4,1,7,5,8,2,3,6]=>[1,4,7,2,5,3,8,6]=>{{1},{2,4},{3,7,8},{5},{6}}=>{{1,2,6},{3},{4},{5,7},{8}}
[3,2,1,5,8,4,6,7]=>[3,5,6,2,4,8,7,1]=>{{1,3,6,8},{2,5},{4},{7}}=>{{1,3,6,8},{2},{4,7},{5}}
[6,7,3,8,2,5,1,4]=>[6,7,3,5,2,4,1,8]=>{{1,6},{2,7},{3},{4,5},{8}}=>{{1},{2,7},{3,8},{4,5},{6}}
[3,6,2,8,7,1,4,5]=>[3,6,8,2,1,7,4,5]=>{{1,3,8},{2,6,7},{4},{5}}=>{{1,6,8},{2,3,7},{4},{5}}
[2,3,8,7,1,4,5,6]=>[2,3,4,8,7,1,5,6]=>{{1,2,3,4,8},{5,7},{6}}=>{{1,5,6,7,8},{2,4},{3}}
[2,1,8,7,3,4,5,6]=>[2,3,4,8,5,1,7,6]=>{{1,2,3,4,8},{5},{6},{7}}=>{{1,5,6,7,8},{2},{3},{4}}
[8,2,7,6,1,3,4,5]=>[2,3,4,8,7,1,6,5]=>{{1,2,3,4,8},{5,7},{6}}=>{{1,5,6,7,8},{2,4},{3}}
[1,7,8,3,6,2,4,5]=>[1,7,8,3,6,2,4,5]=>{{1},{2,7},{3,8},{4},{5,6}}=>{{1,6},{2,7},{3,4},{5},{8}}
[8,1,6,7,3,2,4,5]=>[1,6,8,7,3,4,5,2]=>{{1},{2,6},{3,8},{4,7},{5}}=>{{1,6},{2,5},{3,7},{4},{8}}
[8,1,5,3,7,2,4,6]=>[1,5,8,3,7,4,6,2]=>{{1},{2,5,7},{3,8},{4},{6}}=>{{1,6},{2,4,7},{3},{5},{8}}
[7,5,1,3,6,2,4,8]=>[1,5,7,3,6,8,4,2]=>{{1},{2,5,6,8},{3,7},{4}}=>{{1,3,4,7},{2,6},{5},{8}}
[7,5,8,3,6,2,4,1]=>[7,5,8,3,6,2,4,1]=>{{1,7},{2,5,6},{3,8},{4}}=>{{1,6},{2,8},{3,4,7},{5}}
[7,4,1,3,2,6,5,8]=>[1,4,3,7,6,8,5,2]=>{{1},{2,4,7},{3},{5,6,8}}=>{{1,3,4},{2,5,7},{6},{8}}
[8,1,4,3,2,7,5,6]=>[1,4,3,8,7,5,6,2]=>{{1},{2,4,8},{3},{5,7},{6}}=>{{1,5,7},{2,4},{3},{6},{8}}
[7,4,8,3,2,5,6,1]=>[7,4,5,8,3,2,6,1]=>{{1,7},{2,4,8},{3,5},{6}}=>{{1,5,7},{2,8},{3},{4,6}}
[6,4,3,8,2,5,7,1]=>[6,4,5,8,3,7,2,1]=>{{1,6,7},{2,4,8},{3,5}}=>{{1,5,7},{2,3,8},{4,6}}
[7,4,1,3,2,6,8,5]=>[4,1,3,7,6,8,5,2]=>{{1,4,7},{2},{3},{5,6,8}}=>{{1,3,4},{2,5,8},{6},{7}}
[7,5,1,3,6,2,8,4]=>[5,1,7,3,6,8,4,2]=>{{1,5,6,8},{2},{3,7},{4}}=>{{1,3,4,8},{2,6},{5},{7}}
[6,4,3,7,2,5,8,1]=>[6,4,7,8,3,5,2,1]=>{{1,6},{2,4,8},{3,7},{5}}=>{{1,5,7},{2,6},{3,8},{4}}
[6,5,4,1,7,8,2,3]=>[6,7,1,2,8,5,4,3]=>{{1,6},{2,7},{3},{4},{5,8}}=>{{1,4},{2,7},{3,8},{5},{6}}
[6,4,3,8,2,7,5,1]=>[6,4,3,8,2,7,5,1]=>{{1,6,7},{2,4,8},{3},{5}}=>{{1,5,7},{2,3,8},{4},{6}}
[7,6,1,8,4,5,2,3]=>[7,8,1,4,2,6,5,3]=>{{1,7},{2,8},{3},{4},{5},{6}}=>{{1,7},{2,8},{3},{4},{5},{6}}
[7,6,8,1,4,5,2,3]=>[7,8,1,4,6,2,5,3]=>{{1,7},{2,8},{3},{4},{5,6}}=>{{1,7},{2,8},{3,4},{5},{6}}
[7,6,8,1,3,2,5,4]=>[7,1,8,3,6,2,5,4]=>{{1,7},{2},{3,8},{4},{5,6}}=>{{1,6},{2,8},{3,4},{5},{7}}
[6,5,4,8,1,7,2,3]=>[1,6,5,8,2,7,4,3]=>{{1},{2,6,7},{3,5},{4,8}}=>{{1,5},{2,3,7},{4,6},{8}}
[6,5,4,7,1,8,2,3]=>[6,7,1,8,2,5,4,3]=>{{1,6},{2,7},{3},{4,8},{5}}=>{{1,5},{2,7},{3,8},{4},{6}}
[7,6,1,2,5,8,3,4]=>[7,8,1,2,3,6,5,4]=>{{1,7},{2,8},{3},{4},{5},{6}}=>{{1,7},{2,8},{3},{4},{5},{6}}
[2,1,7,8,4,3,5,6]=>[2,4,7,5,1,3,8,6]=>{{1,2,4,5},{3,7,8},{6}}=>{{1,2,6},{3},{4,5,7,8}}
[6,5,2,1,8,7,4,3]=>[6,5,2,1,8,7,4,3]=>{{1,6,7},{2,5,8},{3},{4}}=>{{1,4,7},{2,3,8},{5},{6}}
[4,7,2,8,1,3,6,5]=>[4,2,7,8,1,6,3,5]=>{{1,4,8},{2},{3,7},{5},{6}}=>{{1,5,8},{2,6},{3},{4},{7}}
[1,8,2,6,3,4,5,7]=>[1,2,3,8,4,6,5,7]=>{{1},{2},{3},{4,8},{5},{6},{7}}=>{{1,5},{2},{3},{4},{6},{7},{8}}
[1,7,2,8,3,5,4,6]=>[1,7,2,5,3,8,4,6]=>{{1},{2,7},{3},{4,5},{6,8}}=>{{1,3},{2,7},{4,5},{6},{8}}
[1,6,2,8,3,5,4,7]=>[1,6,2,5,3,8,4,7]=>{{1},{2,6,8},{3},{4,5},{7}}=>{{1,3,7},{2},{4,5},{6},{8}}
[1,5,2,8,3,6,4,7]=>[1,8,2,5,3,6,4,7]=>{{1},{2,8},{3},{4,5},{6},{7}}=>{{1,7},{2},{3},{4,5},{6},{8}}
[1,4,2,8,3,6,5,7]=>[1,8,2,4,3,6,5,7]=>{{1},{2,8},{3},{4},{5},{6},{7}}=>{{1,7},{2},{3},{4},{5},{6},{8}}
[1,2,3,7,4,6,5,8]=>[1,7,2,6,3,4,5,8]=>{{1},{2,7},{3},{4,6},{5},{8}}=>{{1},{2,7},{3,5},{4},{6},{8}}
[1,4,2,7,3,6,5,8]=>[1,7,2,4,3,6,5,8]=>{{1},{2,7},{3},{4},{5},{6},{8}}=>{{1},{2,7},{3},{4},{5},{6},{8}}
[1,5,2,7,3,6,4,8]=>[1,7,2,5,3,6,4,8]=>{{1},{2,7},{3},{4,5},{6},{8}}=>{{1},{2,7},{3},{4,5},{6},{8}}
[1,6,2,7,3,5,4,8]=>[1,6,2,5,3,7,4,8]=>{{1},{2,6,7},{3},{4,5},{8}}=>{{1},{2,3,7},{4,5},{6},{8}}
[1,7,2,6,3,5,4,8]=>[1,7,2,6,3,5,4,8]=>{{1},{2,7},{3},{4,6},{5},{8}}=>{{1},{2,7},{3,5},{4},{6},{8}}
[1,8,2,5,3,6,4,7]=>[1,5,2,8,3,6,4,7]=>{{1},{2,5},{3},{4,8},{6},{7}}=>{{1,5},{2},{3},{4,7},{6},{8}}
[1,7,2,5,3,6,4,8]=>[1,5,2,7,3,6,4,8]=>{{1},{2,5},{3},{4,7},{6},{8}}=>{{1},{2,5},{3},{4,7},{6},{8}}
[1,6,2,5,3,7,4,8]=>[1,6,2,7,3,5,4,8]=>{{1},{2,6},{3},{4,7},{5},{8}}=>{{1},{2,5},{3,7},{4},{6},{8}}
[1,5,2,4,3,7,6,8]=>[1,5,2,7,4,6,3,8]=>{{1},{2,5},{3},{4,7},{6},{8}}=>{{1},{2,5},{3},{4,7},{6},{8}}
[1,7,2,4,3,6,5,8]=>[1,4,2,7,3,6,5,8]=>{{1},{2,4,7},{3},{5},{6},{8}}=>{{1},{2,5,7},{3},{4},{6},{8}}
[1,8,2,3,4,6,5,7]=>[1,8,2,3,4,6,5,7]=>{{1},{2,8},{3},{4},{5},{6},{7}}=>{{1,7},{2},{3},{4},{5},{6},{8}}
[1,7,2,3,4,6,5,8]=>[1,7,2,3,4,6,5,8]=>{{1},{2,7},{3},{4},{5},{6},{8}}=>{{1},{2,7},{3},{4},{5},{6},{8}}
[1,8,2,3,4,7,5,6]=>[1,8,2,3,4,7,5,6]=>{{1},{2,8},{3},{4},{5},{6,7}}=>{{1,7},{2,3},{4},{5},{6},{8}}
[1,8,2,4,3,7,5,6]=>[1,4,2,8,3,7,5,6]=>{{1},{2,4,8},{3},{5},{6,7}}=>{{1,5,7},{2,3},{4},{6},{8}}
[1,7,2,4,3,8,5,6]=>[1,7,2,8,4,5,3,6]=>{{1},{2,7},{3},{4,8},{5},{6}}=>{{1,5},{2,7},{3},{4},{6},{8}}
[1,6,2,5,3,8,4,7]=>[1,6,2,8,3,5,4,7]=>{{1},{2,6},{3},{4,8},{5},{7}}=>{{1,5},{2},{3,7},{4},{6},{8}}
[1,7,2,5,3,8,4,6]=>[1,7,2,8,3,5,4,6]=>{{1},{2,7},{3},{4,8},{5},{6}}=>{{1,5},{2,7},{3},{4},{6},{8}}
[1,8,2,5,3,7,4,6]=>[1,5,2,8,3,7,4,6]=>{{1},{2,5},{3},{4,8},{6,7}}=>{{1,5},{2,3},{4,7},{6},{8}}
[1,8,2,6,3,7,4,5]=>[1,6,2,8,3,7,4,5]=>{{1},{2,6,7},{3},{4,8},{5}}=>{{1,5},{2,3,7},{4},{6},{8}}
[1,7,2,6,3,8,4,5]=>[1,7,2,8,3,6,4,5]=>{{1},{2,7},{3},{4,8},{5},{6}}=>{{1,5},{2,7},{3},{4},{6},{8}}
[1,4,2,8,3,7,5,6]=>[1,8,2,4,3,7,5,6]=>{{1},{2,8},{3},{4},{5},{6,7}}=>{{1,7},{2,3},{4},{5},{6},{8}}
[1,5,2,8,3,7,4,6]=>[1,8,2,5,3,7,4,6]=>{{1},{2,8},{3},{4,5},{6,7}}=>{{1,7},{2,3},{4,5},{6},{8}}
[1,6,2,8,3,7,4,5]=>[1,8,2,6,3,7,4,5]=>{{1},{2,8},{3},{4,6,7},{5}}=>{{1,7},{2,3,5},{4},{6},{8}}
[1,7,2,8,3,6,4,5]=>[1,7,2,6,3,8,4,5]=>{{1},{2,7},{3},{4,6,8},{5}}=>{{1,3,5},{2,7},{4},{6},{8}}
[4,6,3,7,2,5,1,8]=>[4,6,3,7,2,5,1,8]=>{{1,4,7},{2,6},{3},{5},{8}}=>{{1},{2,5,8},{3,7},{4},{6}}
[5,6,8,3,4,1,2,7]=>[5,6,8,3,4,1,2,7]=>{{1,5},{2,6},{3,8},{4},{7}}=>{{1,6},{2},{3,7},{4,8},{5}}
[5,6,8,4,3,1,2,7]=>[5,6,8,4,3,1,2,7]=>{{1,5},{2,6},{3,8},{4},{7}}=>{{1,6},{2},{3,7},{4,8},{5}}
[4,6,2,8,5,1,7,3]=>[4,2,6,5,1,8,3,7]=>{{1,4,5},{2},{3,6,8},{7}}=>{{1,3,6},{2},{4,5,8},{7}}
[5,6,8,2,4,1,3,7]=>[5,6,8,2,4,1,3,7]=>{{1,5},{2,6},{3,8},{4},{7}}=>{{1,6},{2},{3,7},{4,8},{5}}
[5,6,8,4,2,1,3,7]=>[5,6,8,4,2,1,3,7]=>{{1,5},{2,6},{3,8},{4},{7}}=>{{1,6},{2},{3,7},{4,8},{5}}
[4,7,2,8,1,6,3,5]=>[4,7,2,8,1,6,3,5]=>{{1,4,8},{2,7},{3},{5},{6}}=>{{1,5,8},{2,7},{3},{4},{6}}
[6,7,8,1,4,5,2,3]=>[6,7,4,5,8,1,2,3]=>{{1,6},{2,7},{3,4,5,8}}=>{{1,4,5,6},{2,7},{3,8}}
[3,2,7,8,1,5,6,4]=>[3,2,7,8,1,5,6,4]=>{{1,3,7},{2},{4,8},{5},{6}}=>{{1,5},{2,6,8},{3},{4},{7}}
[4,6,2,8,3,1,7,5]=>[4,2,8,6,1,7,3,5]=>{{1,4,6,7},{2},{3,8},{5}}=>{{1,6},{2,3,5,8},{4},{7}}
[4,7,3,8,1,6,2,5]=>[4,7,3,8,1,6,2,5]=>{{1,4,8},{2,7},{3},{5},{6}}=>{{1,5,8},{2,7},{3},{4},{6}}
[3,2,5,4,8,1,7,6]=>[3,2,8,1,5,4,7,6]=>{{1,3,8},{2},{4},{5},{6},{7}}=>{{1,6,8},{2},{3},{4},{5},{7}}
[4,7,3,8,1,5,2,6]=>[4,7,3,8,1,5,2,6]=>{{1,4,8},{2,7},{3},{5},{6}}=>{{1,5,8},{2,7},{3},{4},{6}}
[5,7,8,3,1,2,6,4]=>[5,3,7,8,6,1,2,4]=>{{1,5,6},{2,3,7},{4,8}}=>{{1,5},{2,6,7},{3,4,8}}
[5,6,8,3,2,1,4,7]=>[5,6,8,3,2,1,4,7]=>{{1,5},{2,6},{3,8},{4},{7}}=>{{1,6},{2},{3,7},{4,8},{5}}
[6,7,8,1,4,3,2,5]=>[6,7,4,3,8,1,2,5]=>{{1,6},{2,7},{3,4},{5,8}}=>{{1,4},{2,7},{3,8},{5,6}}
[6,7,8,1,2,5,4,3]=>[6,5,4,7,8,1,2,3]=>{{1,6},{2,5,8},{3,4,7}}=>{{1,4,7},{2,5,6},{3,8}}
[6,7,8,1,3,2,5,4]=>[6,3,7,5,8,1,2,4]=>{{1,6},{2,3,7},{4,5,8}}=>{{1,4,5},{2,6,7},{3,8}}
[3,2,7,8,1,4,6,5]=>[3,2,7,8,1,4,6,5]=>{{1,3,7},{2},{4,8},{5},{6}}=>{{1,5},{2,6,8},{3},{4},{7}}
[1,3,7,5,4,2,6,8]=>[1,3,7,5,4,2,6,8]=>{{1},{2,3,7},{4,5},{6},{8}}=>{{1},{2,6,7},{3},{4,5},{8}}
[7,2,8,5,4,1,6,3]=>[7,2,8,5,4,1,6,3]=>{{1,7},{2},{3,8},{4,5},{6}}=>{{1,6},{2,8},{3},{4,5},{7}}
[2,8,6,5,7,3,1,4]=>[6,8,7,2,5,3,1,4]=>{{1,6},{2,8},{3,7},{4},{5}}=>{{1,7},{2,6},{3,8},{4},{5}}
[7,2,8,4,5,6,1,3]=>[7,8,2,4,5,1,6,3]=>{{1,7},{2,8},{3},{4},{5},{6}}=>{{1,7},{2,8},{3},{4},{5},{6}}
[1,6,3,7,5,2,4,8]=>[1,6,7,3,2,5,4,8]=>{{1},{2,6},{3,7},{4},{5},{8}}=>{{1},{2,6},{3,7},{4},{5},{8}}
[6,2,3,8,5,1,7,4]=>[6,2,8,3,1,5,7,4]=>{{1,6},{2},{3,8},{4},{5},{7}}=>{{1,6},{2},{3,8},{4},{5},{7}}
[6,3,7,5,2,1,8,4]=>[6,3,7,5,2,1,8,4]=>{{1,6},{2,3,7,8},{4,5}}=>{{1,2,6,7},{3,8},{4,5}}
[5,3,1,8,6,4,7,2]=>[8,5,6,3,1,7,4,2]=>{{1,8},{2,5},{3,6,7},{4}}=>{{1,8},{2,3,6},{4,7},{5}}
[5,3,6,4,1,8,7,2]=>[5,3,1,6,4,2,8,7]=>{{1,5},{2,3},{4,6},{7,8}}=>{{1,2},{3,5},{4,8},{6,7}}
[6,3,5,1,8,2,7,4]=>[6,3,5,1,8,2,7,4]=>{{1,6},{2,3,5,8},{4},{7}}=>{{1,4,6,7},{2},{3,8},{5}}
[3,1,4,6,8,5,7,2]=>[6,3,4,1,2,5,8,7]=>{{1,6},{2,3,4},{5},{7,8}}=>{{1,2},{3,8},{4},{5,6,7}}
[7,2,1,4,3,6,5,8]=>[2,4,1,7,3,8,6,5]=>{{1,2,4,7},{3},{5},{6,8}}=>{{1,3},{2,5,7,8},{4},{6}}
[1,8,4,5,2,3,7,6]=>[4,1,5,8,2,7,3,6]=>{{1,4,8},{2},{3,5},{6,7}}=>{{1,5,8},{2,3},{4,6},{7}}
[7,2,1,6,5,4,3,8]=>[2,7,6,5,1,8,4,3]=>{{1,2,7},{3,6,8},{4,5}}=>{{1,3,6},{2,7,8},{4,5}}
[7,3,6,1,5,4,2,8]=>[3,7,6,5,8,1,4,2]=>{{1,3,6},{2,7},{4,5,8}}=>{{1,4,5},{2,7},{3,6,8}}
[1,8,5,4,3,2,7,6]=>[5,1,8,7,4,3,2,6]=>{{1,5},{2},{3,8},{4,7},{6}}=>{{1,6},{2,5},{3},{4,8},{7}}
[1,8,6,4,3,7,2,5]=>[6,8,1,7,4,3,2,5]=>{{1,6},{2,8},{3},{4,7},{5}}=>{{1,7},{2,5},{3,8},{4},{6}}
[3,2,1,8,5,4,7,6]=>[3,2,5,4,1,8,7,6]=>{{1,3,5},{2},{4},{6,8},{7}}=>{{1,3},{2},{4,6,8},{5},{7}}
[2,3,8,1,5,4,7,6]=>[2,1,8,5,7,3,4,6]=>{{1,2},{3,8},{4,5,7},{6}}=>{{1,6},{2,4,5},{3},{7,8}}
[2,7,8,4,3,6,5,1]=>[7,4,2,8,6,1,3,5]=>{{1,7},{2,4,8},{3},{5,6}}=>{{1,5,7},{2,8},{3,4},{6}}
[2,7,8,5,6,3,4,1]=>[7,5,8,2,6,1,3,4]=>{{1,7},{2,5,6},{3,8},{4}}=>{{1,6},{2,8},{3,4,7},{5}}
[2,4,8,6,1,7,3,5]=>[2,4,1,8,6,3,5,7]=>{{1,2,4,8},{3},{5,6},{7}}=>{{1,5,7,8},{2},{3,4},{6}}
[1,8,6,5,7,3,2,4]=>[6,8,7,1,5,3,2,4]=>{{1,6},{2,8},{3,7},{4},{5}}=>{{1,7},{2,6},{3,8},{4},{5}}
[4,7,5,6,8,2,3,1]=>[7,4,5,2,3,6,1,8]=>{{1,7},{2,4},{3,5},{6},{8}}=>{{1},{2,8},{3},{4,6},{5,7}}
[6,3,5,1,7,2,8,4]=>[3,1,6,2,7,5,8,4]=>{{1,3,6},{2},{4},{5,7,8}}=>{{1,2,4},{3,6,8},{5},{7}}
[6,5,4,7,2,1,8,3]=>[6,2,7,5,4,8,3,1]=>{{1,6,8},{2},{3,7},{4,5}}=>{{1,3,8},{2,6},{4,5},{7}}
[6,2,1,4,3,7,8,5]=>[2,1,6,7,4,8,5,3]=>{{1,2},{3,6,8},{4,7},{5}}=>{{1,3,6},{2,5},{4},{7,8}}
[5,2,1,4,3,8,7,6]=>[5,2,1,4,3,8,7,6]=>{{1,5},{2},{3},{4},{6,8},{7}}=>{{1,3},{2},{4,8},{5},{6},{7}}
[5,3,4,1,2,8,7,6]=>[5,3,1,4,8,2,7,6]=>{{1,5,8},{2,3},{4},{6},{7}}=>{{1,4,8},{2},{3},{5},{6,7}}
[4,7,3,2,8,6,5,1]=>[4,3,2,1,7,6,5,8]=>{{1,4},{2,3},{5,7},{6},{8}}=>{{1},{2,4},{3},{5,8},{6,7}}
[3,6,4,8,2,7,1,5]=>[6,8,3,7,2,4,1,5]=>{{1,6},{2,8},{3},{4,7},{5}}=>{{1,7},{2,5},{3,8},{4},{6}}
[4,3,5,1,8,2,7,6]=>[4,3,5,1,8,2,7,6]=>{{1,4},{2,3,5,8},{6},{7}}=>{{1,4,6,7},{2},{3},{5,8}}
[4,2,1,6,8,7,3,5]=>[4,6,2,1,3,8,7,5]=>{{1,4},{2,6,8},{3},{5},{7}}=>{{1,3,7},{2},{4},{5,8},{6}}
[3,6,7,8,5,4,1,2]=>[3,6,5,4,1,2,7,8]=>{{1,3,5},{2,6},{4},{7},{8}}=>{{1},{2},{3,7},{4,6,8},{5}}
[2,4,8,7,1,6,5,3]=>[8,7,2,6,4,1,3,5]=>{{1,8},{2,7},{3},{4,6},{5}}=>{{1,8},{2,7},{3,5},{4},{6}}
[2,1,4,3,6,5,8,7,10,9,12,11]=>[2,1,4,3,6,5,8,7,10,9,12,11]=>{{1,2},{3,4},{5,6},{7,8},{9,10},{11,12}}=>{{1,2},{3,4},{5,6},{7,8},{9,10},{11,12}}
[7,4,6,1,8,3,5,2]=>[7,4,6,1,8,3,5,2]=>{{1,7},{2,4},{3,6},{5,8}}=>{{1,4},{2,8},{3,6},{5,7}}
[8,3,5,1,7,4,6,2]=>[8,3,5,1,7,4,6,2]=>{{1,8},{2,3,5,7},{4},{6}}=>{{1,8},{2,4,6,7},{3},{5}}
[8,3,4,1,7,5,6,2]=>[8,3,4,1,7,5,6,2]=>{{1,8},{2,3,4},{5,7},{6}}=>{{1,8},{2,4},{3},{5,6,7}}
[4,6,2,1,7,5,8,3]=>[4,2,6,1,7,5,3,8]=>{{1,4},{2},{3,6},{5,7},{8}}=>{{1},{2,4},{3,6},{5,8},{7}}
[3,6,7,5,1,8,4,2]=>[6,3,1,5,4,2,7,8]=>{{1,6},{2,3},{4,5},{7},{8}}=>{{1},{2},{3,8},{4,5},{6,7}}
[7,5,6,1,8,3,4,2]=>[7,5,6,1,8,3,4,2]=>{{1,7},{2,5,8},{3,6},{4}}=>{{1,4,7},{2,8},{3,6},{5}}
[6,8,4,1,7,5,3,2]=>[8,6,4,3,7,5,1,2]=>{{1,8},{2,6},{3,4},{5,7}}=>{{1,8},{2,4},{3,7},{5,6}}
[2,7,5,1,6,8,4,3]=>[7,2,1,5,6,4,3,8]=>{{1,7},{2},{3},{4,5,6},{8}}=>{{1},{2,8},{3,4,5},{6},{7}}
[4,7,1,6,5,8,2,3]=>[4,7,1,6,5,8,2,3]=>{{1,4,6,8},{2,7},{3},{5}}=>{{1,3,5,8},{2,7},{4},{6}}
[4,8,2,6,5,7,1,3]=>[4,8,2,6,5,7,1,3]=>{{1,4,6,7},{2,8},{3},{5}}=>{{1,7},{2,3,5,8},{4},{6}}
[4,6,1,2,7,5,8,3]=>[6,4,5,1,7,8,2,3]=>{{1,6,8},{2,4},{3,5,7}}=>{{1,3,8},{2,4,6},{5,7}}
[7,5,1,2,6,8,4,3]=>[7,5,1,2,6,8,4,3]=>{{1,7},{2,5,6,8},{3},{4}}=>{{1,3,4,7},{2,8},{5},{6}}
[8,4,1,2,6,7,5,3]=>[8,4,1,2,6,7,5,3]=>{{1,8},{2,4},{3},{5,6,7}}=>{{1,8},{2,3,4},{5,7},{6}}
[7,1,6,5,8,2,4,3]=>[7,6,8,1,5,2,4,3]=>{{1,7},{2,6},{3,8},{4},{5}}=>{{1,6},{2,8},{3,7},{4},{5}}
[5,2,3,1,7,6,8,4]=>[5,2,3,1,7,6,8,4]=>{{1,5,7,8},{2},{3},{4},{6}}=>{{1,2,4,8},{3},{5},{6},{7}}
[3,5,2,1,7,6,8,4]=>[3,2,5,1,7,6,4,8]=>{{1,3,5,7},{2},{4},{6},{8}}=>{{1},{2,4,6,8},{3},{5},{7}}
[6,2,4,1,7,5,8,3]=>[6,2,4,1,7,5,8,3]=>{{1,6},{2},{3,4},{5,7,8}}=>{{1,2,4},{3,8},{5,6},{7}}
[6,2,5,1,7,4,8,3]=>[6,2,5,1,7,4,8,3]=>{{1,6},{2},{3,5,7,8},{4}}=>{{1,2,4,6},{3,8},{5},{7}}
[6,1,5,2,7,4,8,3]=>[6,1,5,2,7,4,8,3]=>{{1,6},{2},{3,5,7,8},{4}}=>{{1,2,4,6},{3,8},{5},{7}}
[6,1,4,2,7,5,8,3]=>[6,1,4,2,7,5,8,3]=>{{1,6},{2},{3,4},{5,7,8}}=>{{1,2,4},{3,8},{5,6},{7}}
[5,1,3,2,7,6,8,4]=>[5,1,3,2,7,6,8,4]=>{{1,5,7,8},{2},{3},{4},{6}}=>{{1,2,4,8},{3},{5},{6},{7}}
[4,1,3,2,7,6,8,5]=>[4,1,3,2,7,6,8,5]=>{{1,4},{2},{3},{5,7,8},{6}}=>{{1,2,4},{3},{5,8},{6},{7}}
[6,8,2,3,5,7,1,4]=>[6,8,2,3,5,7,1,4]=>{{1,6,7},{2,8},{3},{4},{5}}=>{{1,7},{2,3,8},{4},{5},{6}}
[6,7,1,3,5,8,2,4]=>[6,7,1,3,5,8,2,4]=>{{1,6,8},{2,7},{3},{4},{5}}=>{{1,3,8},{2,7},{4},{5},{6}}
[8,1,3,5,6,2,7,4]=>[3,1,8,2,5,6,7,4]=>{{1,3,8},{2},{4},{5},{6},{7}}=>{{1,6,8},{2},{3},{4},{5},{7}}
[8,1,3,4,2,6,7,5]=>[3,1,2,8,4,6,7,5]=>{{1,3},{2},{4,8},{5},{6},{7}}=>{{1,5},{2},{3},{4},{6,8},{7}}
[6,3,2,1,4,5,8,7]=>[6,3,4,5,8,7,2,1]=>{{1,6,7},{2,3,4,5,8}}=>{{1,4,5,6,7},{2,3,8}}
[4,7,8,5,6,1,2,3]=>[4,7,8,5,6,1,2,3]=>{{1,4,5,6},{2,7},{3,8}}=>{{1,6},{2,7},{3,4,5,8}}
[3,7,8,5,6,2,1,4]=>[7,8,3,2,5,1,4,6]=>{{1,7},{2,8},{3},{4},{5},{6}}=>{{1,7},{2,8},{3},{4},{5},{6}}
[6,4,5,1,7,8,2,3]=>[4,6,1,2,7,5,8,3]=>{{1,4},{2,6},{3},{5,7,8}}=>{{1,2,4},{3,7},{5,8},{6}}
[5,6,4,8,1,7,2,3]=>[5,6,4,8,1,7,2,3]=>{{1,5},{2,6,7},{3,4,8}}=>{{1,5,6},{2,3,7},{4,8}}
[6,8,7,1,5,3,2,4]=>[1,8,6,5,7,3,2,4]=>{{1},{2,8},{3,6},{4,5,7}}=>{{1,7},{2,4,5},{3,6},{8}}
[6,8,7,3,5,1,2,4]=>[1,6,8,3,7,5,2,4]=>{{1},{2,6},{3,8},{4},{5,7}}=>{{1,6},{2,4},{3,7},{5},{8}}
[7,8,1,6,3,5,2,4]=>[7,8,1,6,3,5,2,4]=>{{1,7},{2,8},{3},{4,6},{5}}=>{{1,7},{2,8},{3,5},{4},{6}}
[8,5,7,1,2,6,3,4]=>[1,8,2,5,7,3,6,4]=>{{1},{2,8},{3},{4,5,7},{6}}=>{{1,7},{2,4,5},{3},{6},{8}}
[1,6,8,3,7,4,5,2]=>[8,1,6,3,7,2,4,5]=>{{1,8},{2},{3,6},{4},{5,7}}=>{{1,8},{2,4},{3,6},{5},{7}}
[8,5,7,2,1,6,3,4]=>[2,5,3,8,7,1,6,4]=>{{1,2,5,7},{3},{4,8},{6}}=>{{1,5},{2,4,7,8},{3},{6}}
[8,7,6,2,1,4,3,5]=>[2,4,1,8,7,6,5,3]=>{{1,2,4,8},{3},{5,7},{6}}=>{{1,5,7,8},{2,4},{3},{6}}
[1,8,7,5,4,3,6,2]=>[8,1,7,5,4,3,2,6]=>{{1,8},{2},{3,7},{4,5},{6}}=>{{1,8},{2,6},{3},{4,5},{7}}
[8,5,7,1,3,2,6,4]=>[5,1,8,3,7,2,6,4]=>{{1,5,7},{2},{3,8},{4},{6}}=>{{1,6},{2,4,8},{3},{5},{7}}
[5,8,4,1,7,2,6,3]=>[8,1,5,4,7,6,2,3]=>{{1,8},{2},{3,5,7},{4},{6}}=>{{1,8},{2,4,6},{3},{5},{7}}
[5,8,4,7,1,6,2,3]=>[1,8,5,7,4,6,2,3]=>{{1},{2,8},{3,5},{4,7},{6}}=>{{1,7},{2,5},{3},{4,6},{8}}
[4,8,5,7,1,6,2,3]=>[4,8,5,7,1,6,2,3]=>{{1,4,7},{2,8},{3,5},{6}}=>{{1,7},{2,5,8},{3},{4,6}}
[8,5,3,7,1,2,6,4]=>[5,1,3,8,2,7,6,4]=>{{1,5},{2},{3},{4,8},{6,7}}=>{{1,5},{2,3},{4,8},{6},{7}}
[4,6,2,8,1,7,5,3]=>[8,4,2,6,1,5,3,7]=>{{1,8},{2,4,6},{3},{5},{7}}=>{{1,8},{2},{3,5,7},{4},{6}}
[1,8,7,4,5,3,6,2]=>[8,1,7,4,5,3,2,6]=>{{1,8},{2},{3,7},{4},{5},{6}}=>{{1,8},{2,6},{3},{4},{5},{7}}
[8,7,6,3,1,4,2,5]=>[3,4,1,8,7,6,5,2]=>{{1,3},{2,4,8},{5,7},{6}}=>{{1,5,7},{2,4},{3},{6,8}}
[8,5,3,2,7,1,6,4]=>[5,3,8,2,7,6,4,1]=>{{1,5,7},{2,3,8},{4},{6}}=>{{1,6,7},{2,4,8},{3},{5}}
[8,3,1,5,2,7,6,4]=>[8,3,1,5,2,7,6,4]=>{{1,8},{2,3},{4,5},{6,7}}=>{{1,8},{2,3},{4,5},{6,7}}
[8,7,4,1,6,5,3,2]=>[8,7,4,1,6,5,3,2]=>{{1,8},{2,7},{3,4},{5,6}}=>{{1,8},{2,7},{3,4},{5,6}}
[8,3,2,5,1,7,6,4]=>[3,2,1,8,5,7,6,4]=>{{1,3},{2},{4,8},{5},{6,7}}=>{{1,5},{2,3},{4},{6,8},{7}}
[8,7,6,5,2,1,4,3]=>[2,1,8,7,6,5,4,3]=>{{1,2},{3,8},{4,7},{5,6}}=>{{1,6},{2,5},{3,4},{7,8}}
[8,7,4,3,6,2,1,5]=>[4,8,7,3,6,5,2,1]=>{{1,4},{2,8},{3,7},{5,6}}=>{{1,7},{2,6},{3,4},{5,8}}
[8,7,4,2,6,5,3,1]=>[8,7,4,2,6,5,3,1]=>{{1,8},{2,7},{3,4},{5,6}}=>{{1,8},{2,7},{3,4},{5,6}}
[8,3,1,5,4,7,6,2]=>[8,3,1,5,4,7,6,2]=>{{1,8},{2,3},{4,5},{6,7}}=>{{1,8},{2,3},{4,5},{6,7}}
[8,3,1,5,4,7,2,6]=>[3,8,1,5,4,7,6,2]=>{{1,3},{2,8},{4,5},{6,7}}=>{{1,7},{2,3},{4,5},{6,8}}
[7,3,5,1,8,4,6,2]=>[7,3,5,1,8,4,6,2]=>{{1,7},{2,3,5,8},{4},{6}}=>{{1,4,6,7},{2,8},{3},{5}}
[7,3,4,1,8,5,6,2]=>[7,3,4,1,8,5,6,2]=>{{1,7},{2,3,4},{5,8},{6}}=>{{1,4},{2,8},{3},{5,6,7}}
[4,5,6,2,1,8,7,3]=>[4,2,1,8,5,3,6,7]=>{{1,4,8},{2},{3},{5},{6},{7}}=>{{1,5,8},{2},{3},{4},{6},{7}}
[7,4,3,1,8,6,5,2]=>[7,4,3,1,8,6,5,2]=>{{1,7},{2,4},{3},{5,8},{6}}=>{{1,4},{2,8},{3},{5,7},{6}}
[7,6,5,1,8,4,3,2]=>[7,6,5,1,8,4,3,2]=>{{1,7},{2,6},{3,5,8},{4}}=>{{1,4,6},{2,8},{3,7},{5}}
[7,6,4,1,8,5,3,2]=>[7,6,4,1,8,5,3,2]=>{{1,7},{2,6},{3,4},{5,8}}=>{{1,4},{2,8},{3,7},{5,6}}
[6,4,2,1,8,7,5,3]=>[6,4,2,1,8,7,5,3]=>{{1,6,7},{2,4},{3},{5,8}}=>{{1,4},{2,3,8},{5,7},{6}}
[1,6,4,2,7,5,3,8]=>[1,6,4,2,7,5,3,8]=>{{1},{2,6},{3,4},{5,7},{8}}=>{{1},{2,4},{3,7},{5,6},{8}}
[1,5,3,2,7,6,4,8]=>[1,5,3,2,7,6,4,8]=>{{1},{2,5,7},{3},{4},{6},{8}}=>{{1},{2,4,7},{3},{5},{6},{8}}
[5,3,2,1,8,7,6,4]=>[5,3,2,1,8,7,6,4]=>{{1,5,8},{2,3},{4},{6,7}}=>{{1,4,8},{2,3},{5},{6,7}}
[2,6,1,5,7,8,3,4]=>[2,6,1,5,7,8,3,4]=>{{1,2,6,8},{3},{4,5,7}}=>{{1,3,7,8},{2,4,5},{6}}
[5,2,3,1,8,6,7,4]=>[5,2,3,1,8,6,7,4]=>{{1,5,8},{2},{3},{4},{6},{7}}=>{{1,4,8},{2},{3},{5},{6},{7}}
[6,2,4,1,8,5,7,3]=>[6,2,4,1,8,5,7,3]=>{{1,6},{2},{3,4},{5,8},{7}}=>{{1,4},{2},{3,8},{5,6},{7}}
[6,2,5,1,8,4,7,3]=>[6,2,5,1,8,4,7,3]=>{{1,6},{2},{3,5,8},{4},{7}}=>{{1,4,6},{2},{3,8},{5},{7}}
[6,2,1,4,8,7,3,5]=>[2,6,4,1,3,8,7,5]=>{{1,2,6,8},{3,4},{5},{7}}=>{{1,3,7,8},{2},{4},{5,6}}
[3,6,7,1,4,8,2,5]=>[3,6,1,4,7,2,5,8]=>{{1,3},{2,6},{4},{5,7},{8}}=>{{1},{2,4},{3,7},{5},{6,8}}
[2,6,1,4,7,8,3,5]=>[2,6,1,4,7,8,3,5]=>{{1,2,6,8},{3},{4},{5,7}}=>{{1,3,7,8},{2,4},{5},{6}}
[8,6,7,3,5,2,4,1]=>[8,6,7,3,5,2,4,1]=>{{1,8},{2,6},{3,7},{4},{5}}=>{{1,8},{2,6},{3,7},{4},{5}}
[4,1,6,3,5,2,8,7]=>[4,1,6,3,5,2,8,7]=>{{1,4},{2},{3,6},{5},{7,8}}=>{{1,2},{3,6},{4},{5,8},{7}}
[5,2,6,3,4,1,8,7]=>[5,2,6,3,4,1,8,7]=>{{1,5},{2},{3,6},{4},{7,8}}=>{{1,2},{3,6},{4,8},{5},{7}}
[5,2,7,3,4,1,8,6]=>[5,2,7,3,4,1,8,6]=>{{1,5},{2},{3,7,8},{4},{6}}=>{{1,2,6},{3},{4,8},{5},{7}}
[5,2,8,6,7,3,4,1]=>[8,5,6,2,3,1,7,4]=>{{1,8},{2,5},{3,6},{4},{7}}=>{{1,8},{2},{3,6},{4,7},{5}}
[6,2,7,3,4,1,8,5]=>[6,2,7,3,4,1,8,5]=>{{1,6},{2},{3,7,8},{4},{5}}=>{{1,2,6},{3,8},{4},{5},{7}}
[7,3,4,1,5,2,8,6]=>[3,1,7,4,8,5,6,2]=>{{1,3,7},{2},{4},{5,8},{6}}=>{{1,4},{2,6,8},{3},{5},{7}}
[4,1,7,3,5,2,8,6]=>[4,1,7,3,5,2,8,6]=>{{1,4},{2},{3,7,8},{5},{6}}=>{{1,2,6},{3},{4},{5,8},{7}}
[3,1,7,4,5,2,8,6]=>[3,1,7,4,5,2,8,6]=>{{1,3,7,8},{2},{4},{5},{6}}=>{{1,2,6,8},{3},{4},{5},{7}}
[2,1,7,4,5,3,8,6]=>[2,1,7,4,5,3,8,6]=>{{1,2},{3,7,8},{4},{5},{6}}=>{{1,2,6},{3},{4},{5},{7,8}}
[3,1,8,6,7,4,5,2]=>[8,3,6,1,4,2,7,5]=>{{1,8},{2,3,6},{4},{5},{7}}=>{{1,8},{2},{3,6,7},{4},{5}}
[4,1,8,6,7,3,5,2]=>[8,4,6,1,3,2,7,5]=>{{1,8},{2,4},{3,6},{5},{7}}=>{{1,8},{2},{3,6},{4},{5,7}}
[8,5,6,2,7,3,4,1]=>[8,5,6,2,7,3,4,1]=>{{1,8},{2,5,7},{3,6},{4}}=>{{1,8},{2,4,7},{3,6},{5}}
[5,1,8,4,7,3,6,2]=>[5,4,8,1,3,2,7,6]=>{{1,5},{2,4},{3,8},{6},{7}}=>{{1,6},{2},{3},{4,8},{5,7}}
[4,1,8,5,7,3,6,2]=>[8,4,5,1,3,2,7,6]=>{{1,8},{2,4},{3,5},{6},{7}}=>{{1,8},{2},{3},{4,6},{5,7}}
[3,1,8,5,7,4,6,2]=>[8,3,5,1,4,2,7,6]=>{{1,8},{2,3,5},{4},{6},{7}}=>{{1,8},{2},{3},{4,6,7},{5}}
[2,1,8,5,7,4,6,3]=>[8,2,5,1,4,3,7,6]=>{{1,8},{2},{3,5},{4},{6},{7}}=>{{1,8},{2},{3},{4,6},{5},{7}}
[2,1,7,4,6,3,8,5]=>[2,1,7,4,6,3,8,5]=>{{1,2},{3,7,8},{4},{5,6}}=>{{1,2,6},{3,4},{5},{7,8}}
[3,1,7,4,6,2,8,5]=>[3,1,7,4,6,2,8,5]=>{{1,3,7,8},{2},{4},{5,6}}=>{{1,2,6,8},{3,4},{5},{7}}
[4,1,7,3,6,2,8,5]=>[4,1,7,3,6,2,8,5]=>{{1,4},{2},{3,7,8},{5,6}}=>{{1,2,6},{3,4},{5,8},{7}}
[5,1,7,3,6,2,8,4]=>[5,1,7,3,6,2,8,4]=>{{1,5,6},{2},{3,7,8},{4}}=>{{1,2,6},{3,4,8},{5},{7}}
[6,2,7,3,5,1,8,4]=>[6,2,7,3,5,1,8,4]=>{{1,6},{2},{3,7,8},{4},{5}}=>{{1,2,6},{3,8},{4},{5},{7}}
[8,4,7,3,6,2,5,1]=>[8,4,7,3,6,2,5,1]=>{{1,8},{2,4},{3,7},{5,6}}=>{{1,8},{2,6},{3,4},{5,7}}
[7,3,6,2,5,1,8,4]=>[3,2,7,6,8,1,5,4]=>{{1,3,7},{2},{4,6},{5,8}}=>{{1,4},{2,6,8},{3,5},{7}}
[6,2,5,1,7,3,8,4]=>[2,1,6,3,7,5,8,4]=>{{1,2},{3,6},{4},{5,7,8}}=>{{1,2,4},{3,6},{5},{7,8}}
[5,2,4,1,7,3,8,6]=>[2,1,5,4,7,6,8,3]=>{{1,2},{3,5,7,8},{4},{6}}=>{{1,2,4,6},{3},{5},{7,8}}
[6,2,4,1,7,3,8,5]=>[2,1,6,4,7,5,8,3]=>{{1,2},{3,6},{4},{5,7,8}}=>{{1,2,4},{3,6},{5},{7,8}}
[8,5,7,3,6,2,4,1]=>[8,5,7,3,6,2,4,1]=>{{1,8},{2,5,6},{3,7},{4}}=>{{1,8},{2,6},{3,4,7},{5}}
[8,5,7,4,6,2,3,1]=>[8,5,7,4,6,2,3,1]=>{{1,8},{2,5,6},{3,7},{4}}=>{{1,8},{2,6},{3,4,7},{5}}
[6,2,3,1,7,4,8,5]=>[6,2,7,3,8,4,5,1]=>{{1,6},{2},{3,7},{4},{5,8}}=>{{1,4},{2,6},{3,8},{5},{7}}
[6,2,3,1,8,5,7,4]=>[6,2,3,1,8,5,7,4]=>{{1,6},{2},{3},{4},{5,8},{7}}=>{{1,4},{2},{3,8},{5},{6},{7}}
[8,5,6,2,3,1,7,4]=>[5,2,8,6,7,3,4,1]=>{{1,5,7},{2},{3,8},{4,6}}=>{{1,6},{2,4,8},{3,5},{7}}
[5,2,4,1,8,6,7,3]=>[5,2,4,1,8,6,7,3]=>{{1,5,8},{2},{3,4},{6},{7}}=>{{1,4,8},{2},{3},{5,6},{7}}
[4,1,5,2,8,6,7,3]=>[8,4,5,1,6,2,7,3]=>{{1,8},{2,4},{3,5,6},{7}}=>{{1,8},{2},{3,4,6},{5,7}}
[2,1,6,3,8,5,7,4]=>[6,2,3,1,5,4,8,7]=>{{1,6},{2},{3},{4},{5},{7,8}}=>{{1,2},{3,8},{4},{5},{6},{7}}
[3,1,6,2,8,5,7,4]=>[6,1,3,2,5,4,8,7]=>{{1,6},{2},{3},{4},{5},{7,8}}=>{{1,2},{3,8},{4},{5},{6},{7}}
[4,1,6,2,8,5,7,3]=>[6,1,4,2,5,3,8,7]=>{{1,6},{2},{3,4},{5},{7,8}}=>{{1,2},{3,8},{4},{5,6},{7}}
[5,1,6,2,8,4,7,3]=>[5,1,4,2,6,3,8,7]=>{{1,5,6},{2},{3,4},{7,8}}=>{{1,2},{3,4,8},{5,6},{7}}
[6,2,7,3,8,4,5,1]=>[6,2,3,1,7,4,8,5]=>{{1,6},{2},{3},{4},{5,7,8}}=>{{1,2,4},{3,8},{5},{6},{7}}
[8,4,5,1,6,2,7,3]=>[4,1,5,2,8,6,7,3]=>{{1,4},{2},{3,5,8},{6},{7}}=>{{1,4,6},{2},{3},{5,8},{7}}
[5,1,8,4,6,2,7,3]=>[5,1,8,4,6,2,7,3]=>{{1,5,6},{2},{3,8},{4},{7}}=>{{1,6},{2},{3,4,8},{5},{7}}
[4,1,8,5,6,2,7,3]=>[4,1,8,5,6,2,7,3]=>{{1,4,5,6},{2},{3,8},{7}}=>{{1,6},{2},{3,4,5,8},{7}}
[3,1,8,5,6,2,7,4]=>[3,1,8,5,6,2,7,4]=>{{1,3,8},{2},{4,5,6},{7}}=>{{1,6,8},{2},{3,4,5},{7}}
[2,1,8,5,6,3,7,4]=>[2,1,8,5,6,3,7,4]=>{{1,2},{3,8},{4,5,6},{7}}=>{{1,6},{2},{3,4,5},{7,8}}
[3,1,7,4,8,5,6,2]=>[7,3,4,1,5,2,8,6]=>{{1,7,8},{2,3,4},{5},{6}}=>{{1,2,8},{3},{4},{5,6,7}}
[4,1,7,3,8,5,6,2]=>[4,1,3,2,7,5,8,6]=>{{1,4},{2},{3},{5,7,8},{6}}=>{{1,2,4},{3},{5,8},{6},{7}}
[7,3,8,4,5,1,6,2]=>[7,3,8,4,5,1,6,2]=>{{1,7},{2,3,8},{4},{5},{6}}=>{{1,6,7},{2,8},{3},{4},{5}}
[8,4,5,1,7,3,6,2]=>[8,4,5,1,7,3,6,2]=>{{1,8},{2,4},{3,5,7},{6}}=>{{1,8},{2,4,6},{3},{5,7}}
[7,3,6,2,8,4,5,1]=>[7,3,6,2,8,4,5,1]=>{{1,7},{2,3,6},{4},{5,8}}=>{{1,4},{2,8},{3,6,7},{5}}
[7,8,5,6,1,3,4,2]=>[7,1,5,8,3,6,2,4]=>{{1,7},{2},{3,5},{4,8},{6}}=>{{1,5},{2,8},{3},{4,6},{7}}
[3,6,1,4,7,2,5,8]=>[3,6,7,1,4,8,2,5]=>{{1,3,7},{2,6,8},{4},{5}}=>{{1,3,7},{2,6,8},{4},{5}}
[1,4,8,2,5,7,3,6]=>[4,8,1,5,7,2,3,6]=>{{1,4,5,7},{2,8},{3},{6}}=>{{1,7},{2,4,5,8},{3},{6}}
[7,8,2,4,5,6,1,3]=>[7,8,2,4,5,6,1,3]=>{{1,7},{2,8},{3},{4},{5},{6}}=>{{1,7},{2,8},{3},{4},{5},{6}}
[7,8,3,5,6,4,1,2]=>[7,8,5,3,4,6,1,2]=>{{1,7},{2,8},{3,5},{4},{6}}=>{{1,7},{2,8},{3},{4,6},{5}}
[5,6,1,4,3,2,7,8]=>[5,6,7,4,3,8,1,2]=>{{1,5},{2,6,8},{3,7},{4}}=>{{1,3,7},{2,6},{4,8},{5}}
[2,6,4,8,3,7,1,5]=>[6,8,4,7,2,3,1,5]=>{{1,6},{2,8},{3,4,7},{5}}=>{{1,7},{2,5,6},{3,8},{4}}
[2,4,8,5,3,1,6,7]=>[2,4,8,5,3,1,6,7]=>{{1,2,4,5},{3,8},{6},{7}}=>{{1,6},{2},{3},{4,5,7,8}}
[3,5,8,4,7,6,1,2]=>[5,8,7,3,4,1,2,6]=>{{1,5},{2,8},{3,7},{4},{6}}=>{{1,7},{2,6},{3},{4,8},{5}}
[5,6,2,1,4,7,8,3]=>[5,2,6,7,8,4,1,3]=>{{1,5,8},{2},{3,6},{4,7}}=>{{1,4,8},{2,5},{3,6},{7}}
[4,6,2,5,3,1,8,7]=>[4,2,6,5,3,8,1,7]=>{{1,4,5},{2},{3,6,8},{7}}=>{{1,3,6},{2},{4,5,8},{7}}
[5,7,3,6,1,4,8,2]=>[7,5,6,8,3,4,1,2]=>{{1,7},{2,5},{3,6},{4,8}}=>{{1,5},{2,8},{3,6},{4,7}}
[6,1,7,5,2,4,8,3]=>[6,1,5,7,4,2,8,3]=>{{1,6},{2},{3,5},{4,7,8}}=>{{1,2,5},{3,8},{4,6},{7}}
[6,3,1,2,4,5,8,7]=>[6,1,3,4,5,8,7,2]=>{{1,6,8},{2},{3},{4},{5},{7}}=>{{1,3,8},{2},{4},{5},{6},{7}}
[1,4,7,2,5,3,8,6]=>[4,1,7,5,8,2,3,6]=>{{1,4,5,8},{2},{3,7},{6}}=>{{1,4,5,8},{2,6},{3},{7}}
[1,6,7,5,8,2,4,3]=>[6,5,7,1,4,2,3,8]=>{{1,6},{2,5},{3,7},{4},{8}}=>{{1},{2,6},{3,8},{4,7},{5}}
[2,1,6,8,4,5,3,7]=>[2,6,4,5,1,3,8,7]=>{{1,2,6},{3,4,5},{7,8}}=>{{1,2},{3,7,8},{4,5,6}}
[4,3,8,5,6,7,1,2]=>[4,8,3,5,6,1,7,2]=>{{1,4,5,6},{2,8},{3},{7}}=>{{1,7},{2},{3,4,5,8},{6}}
[4,2,8,1,6,3,7,5]=>[4,2,6,3,8,1,7,5]=>{{1,4},{2},{3,6},{5,8},{7}}=>{{1,4},{2},{3,6},{5,8},{7}}
[4,3,7,8,1,2,6,5]=>[4,3,7,8,1,2,6,5]=>{{1,4,8},{2,3,7},{5},{6}}=>{{1,5,8},{2,6,7},{3},{4}}
[5,7,8,6,1,3,4,2]=>[7,5,6,8,3,1,2,4]=>{{1,7},{2,5},{3,6},{4,8}}=>{{1,5},{2,8},{3,6},{4,7}}
[3,6,5,4,1,2,7,8]=>[3,6,7,8,5,4,1,2]=>{{1,3,7},{2,6},{4,8},{5}}=>{{1,5},{2,6,8},{3,7},{4}}
[2,6,4,1,8,3,7,5]=>[6,2,4,1,8,7,3,5]=>{{1,6,7},{2},{3,4},{5,8}}=>{{1,4},{2,3,8},{5,6},{7}}
[5,7,6,4,1,8,3,2]=>[7,5,1,6,4,3,2,8]=>{{1,7},{2,5},{3},{4,6},{8}}=>{{1},{2,8},{3,5},{4,7},{6}}
[7,5,6,4,1,2,8,3]=>[5,1,7,8,6,2,4,3]=>{{1,5,6},{2},{3,7},{4,8}}=>{{1,5},{2,6},{3,4,8},{7}}
[7,1,3,5,6,4,2,8]=>[1,7,5,3,4,6,8,2]=>{{1},{2,7,8},{3,5},{4},{6}}=>{{1,2,7},{3},{4,6},{5},{8}}
[7,4,2,6,5,1,3,8]=>[4,7,8,2,1,6,5,3]=>{{1,4},{2,7},{3,8},{5},{6}}=>{{1,6},{2,7},{3},{4},{5,8}}
[6,8,1,2,3,4,7,5]=>[8,1,2,3,6,7,4,5]=>{{1,8},{2},{3},{4},{5,6,7}}=>{{1,8},{2,3,4},{5},{6},{7}}
[6,8,2,4,1,5,7,3]=>[6,2,4,8,5,7,1,3]=>{{1,6,7},{2},{3,4,8},{5}}=>{{1,5,6},{2,3,8},{4},{7}}
[5,3,4,1,8,6,7,2]=>[5,3,4,1,8,6,7,2]=>{{1,5,8},{2,3,4},{6},{7}}=>{{1,4,8},{2},{3},{5,6,7}}
[5,2,8,4,6,1,7,3]=>[5,2,8,4,6,1,7,3]=>{{1,5,6},{2},{3,8},{4},{7}}=>{{1,6},{2},{3,4,8},{5},{7}}
[5,2,1,8,6,3,7,4]=>[5,2,6,3,1,8,7,4]=>{{1,5},{2},{3,6,8},{4},{7}}=>{{1,3,6},{2},{4,8},{5},{7}}
[5,3,8,7,6,2,4,1]=>[8,5,7,3,2,1,6,4]=>{{1,8},{2,5},{3,7},{4},{6}}=>{{1,8},{2,6},{3},{4,7},{5}}
[5,8,4,7,6,2,1,3]=>[5,8,7,4,2,6,1,3]=>{{1,5},{2,8},{3,7},{4},{6}}=>{{1,7},{2,6},{3},{4,8},{5}}
[6,4,2,8,7,1,3,5]=>[2,6,8,4,3,7,5,1]=>{{1,2,6,7},{3,8},{4},{5}}=>{{1,6},{2,3,7,8},{4},{5}}
[5,8,3,7,1,6,4,2]=>[8,7,5,6,3,4,1,2]=>{{1,8},{2,7},{3,5},{4,6}}=>{{1,8},{2,7},{3,5},{4,6}}
[1,5,3,7,8,6,2,4]=>[5,7,3,1,2,6,4,8]=>{{1,5},{2,7},{3},{4},{6},{8}}=>{{1},{2,7},{3},{4,8},{5},{6}}
[6,8,5,1,2,3,7,4]=>[6,1,2,5,8,7,3,4]=>{{1,6,7},{2},{3},{4,5,8}}=>{{1,4,5},{2,3,8},{6},{7}}
[6,8,5,3,1,2,7,4]=>[6,1,5,8,7,3,2,4]=>{{1,6},{2},{3,5,7},{4,8}}=>{{1,5},{2,4,6},{3,8},{7}}
[4,5,1,2,6,8,7,3]=>[8,4,1,5,6,7,2,3]=>{{1,8},{2,4,5,6,7},{3}}=>{{1,8},{2,3,4,5,7},{6}}
[4,2,6,1,7,3,5,8]=>[4,6,7,2,8,3,5,1]=>{{1,4},{2,6},{3,7},{5,8}}=>{{1,4},{2,6},{3,7},{5,8}}
[4,5,3,1,7,6,2,8]=>[4,5,3,1,7,6,2,8]=>{{1,4},{2,5,7},{3},{6},{8}}=>{{1},{2,4,7},{3},{5,8},{6}}
[3,1,4,5,8,6,7,2]=>[8,3,4,1,5,6,7,2]=>{{1,8},{2,3,4},{5},{6},{7}}=>{{1,8},{2},{3},{4},{5,6,7}}
[3,4,6,8,5,2,7,1]=>[6,3,8,2,1,4,5,7]=>{{1,6},{2,3,8},{4},{5},{7}}=>{{1,6,7},{2},{3,8},{4},{5}}
[3,5,6,2,8,4,7,1]=>[3,2,5,1,8,4,6,7]=>{{1,3,5,8},{2},{4},{6},{7}}=>{{1,4,6,8},{2},{3},{5},{7}}
[1,2,7,5,3,8,6,4]=>[7,5,1,8,6,2,3,4]=>{{1,7},{2,5,6},{3},{4,8}}=>{{1,5},{2,8},{3,4,7},{6}}
[4,1,2,7,3,8,6,5]=>[7,4,1,6,2,3,8,5]=>{{1,7,8},{2,4,6},{3},{5}}=>{{1,2,8},{3,5,7},{4},{6}}
[6,4,1,7,5,2,3,8]=>[1,6,7,4,2,8,5,3]=>{{1},{2,6,8},{3,7},{4},{5}}=>{{1,3,7},{2,6},{4},{5},{8}}
[3,1,2,6,8,5,4,7]=>[3,6,5,1,2,4,8,7]=>{{1,3,5},{2,6},{4},{7,8}}=>{{1,2},{3,7},{4,6,8},{5}}
[1,3,7,2,4,8,6,5]=>[7,3,1,6,8,2,4,5]=>{{1,7},{2,3},{4,6},{5,8}}=>{{1,4},{2,8},{3,5},{6,7}}
[3,4,7,5,1,8,6,2]=>[7,3,1,8,4,2,5,6]=>{{1,7},{2,3},{4,8},{5},{6}}=>{{1,5},{2,8},{3},{4},{6,7}}
[6,3,7,4,5,1,8,2]=>[6,3,7,4,5,1,8,2]=>{{1,6},{2,3,7,8},{4},{5}}=>{{1,2,6,7},{3,8},{4},{5}}
[4,7,2,3,6,8,1,5]=>[4,7,2,3,6,8,1,5]=>{{1,4},{2,7},{3},{5,6,8}}=>{{1,3,4},{2,7},{5,8},{6}}
[5,7,4,6,2,8,1,3]=>[5,7,4,6,2,8,1,3]=>{{1,5},{2,7},{3,4,6,8}}=>{{1,3,5,6},{2,7},{4,8}}
[5,3,8,4,6,1,7,2]=>[5,3,8,4,6,1,7,2]=>{{1,5,6},{2,3,8},{4},{7}}=>{{1,6,7},{2},{3,4,8},{5}}
[4,6,8,3,1,7,5,2]=>[8,4,3,6,5,1,2,7]=>{{1,8},{2,4,6},{3},{5},{7}}=>{{1,8},{2},{3,5,7},{4},{6}}
[6,3,8,2,7,1,5,4]=>[6,3,8,2,7,1,5,4]=>{{1,6},{2,3,8},{4},{5,7}}=>{{1,6,7},{2,4},{3,8},{5}}
[6,8,5,3,1,7,4,2]=>[6,5,3,8,7,4,1,2]=>{{1,6},{2,5,7},{3},{4,8}}=>{{1,5},{2,4,7},{3,8},{6}}
[5,6,3,7,1,2,4,8]=>[5,6,7,8,1,3,2,4]=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,5},{2,6},{3,7},{4,8}}
[3,8,2,4,6,7,1,5]=>[3,8,2,4,6,7,1,5]=>{{1,3},{2,8},{4},{5,6,7}}=>{{1,7},{2,3,4},{5},{6,8}}
[4,8,3,5,6,1,7,2]=>[4,3,8,5,6,7,1,2]=>{{1,4,5,6,7},{2,3,8}}=>{{1,6,7},{2,3,4,5,8}}
[5,6,2,3,7,8,1,4]=>[5,6,2,3,7,8,1,4]=>{{1,5,7},{2,6,8},{3},{4}}=>{{1,3,7},{2,4,8},{5},{6}}
[5,8,7,3,4,1,2,6]=>[3,5,8,4,7,6,1,2]=>{{1,3,8},{2,5,7},{4},{6}}=>{{1,6,8},{2,4,7},{3},{5}}
[6,8,7,3,4,1,2,5]=>[3,6,8,4,7,5,1,2]=>{{1,3,8},{2,6},{4},{5,7}}=>{{1,6,8},{2,4},{3,7},{5}}
[6,8,4,7,2,5,3,1]=>[8,6,4,7,2,5,1,3]=>{{1,8},{2,6},{3,4,7},{5}}=>{{1,8},{2,5,6},{3,7},{4}}
[3,4,8,7,6,1,2,5]=>[3,4,8,7,6,1,2,5]=>{{1,3,8},{2,4,7},{5,6}}=>{{1,6,8},{2,5,7},{3,4}}
[3,5,8,7,6,1,2,4]=>[3,5,8,7,6,1,2,4]=>{{1,3,8},{2,5,6},{4,7}}=>{{1,6,8},{2,5},{3,4,7}}
[4,5,8,7,6,1,2,3]=>[4,5,8,7,6,1,2,3]=>{{1,4,7},{2,5,6},{3,8}}=>{{1,6},{2,5,8},{3,4,7}}
[2,4,8,7,1,6,3,5]=>[2,8,4,7,6,1,3,5]=>{{1,2,8},{3,4,7},{5,6}}=>{{1,7,8},{2,5,6},{3,4}}
[2,8,4,7,1,5,3,6]=>[2,8,4,7,1,5,3,6]=>{{1,2,8},{3,4,7},{5},{6}}=>{{1,7,8},{2,5,6},{3},{4}}
[8,2,4,6,1,5,3,7]=>[2,8,4,6,1,5,7,3]=>{{1,2,8},{3,4,6},{5},{7}}=>{{1,7,8},{2},{3,5,6},{4}}
[1,8,4,7,2,5,3,6]=>[1,8,4,7,2,5,3,6]=>{{1},{2,8},{3,4,7},{5},{6}}=>{{1,7},{2,5,6},{3},{4},{8}}
[2,5,8,3,7,6,4,1]=>[8,7,5,2,6,1,3,4]=>{{1,8},{2,7},{3,5,6},{4}}=>{{1,8},{2,7},{3,4,6},{5}}
[2,8,3,1,7,5,4,6]=>[2,8,3,1,7,5,4,6]=>{{1,2,8},{3},{4},{5,7},{6}}=>{{1,7,8},{2,4},{3},{5},{6}}
[3,4,1,8,7,6,5,2]=>[8,7,6,3,1,4,2,5]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[8,4,2,6,1,5,3,7]=>[4,6,2,8,1,7,5,3]=>{{1,4,8},{2,6,7},{3},{5}}=>{{1,5,8},{2,3,7},{4},{6}}
[5,3,8,2,7,6,4,1]=>[8,5,3,2,7,1,6,4]=>{{1,8},{2,5,7},{3},{4},{6}}=>{{1,8},{2,4,7},{3},{5},{6}}
[6,8,2,7,1,5,3,4]=>[2,8,6,7,3,5,1,4]=>{{1,2,8},{3,6},{4,7},{5}}=>{{1,7,8},{2,5},{3,6},{4}}
[8,5,6,1,2,4,3,7]=>[1,8,5,6,7,2,4,3]=>{{1},{2,8},{3,5,7},{4,6}}=>{{1,7},{2,4,6},{3,5},{8}}
[6,8,2,3,7,5,4,1]=>[8,6,5,2,3,7,1,4]=>{{1,8},{2,6,7},{3,5},{4}}=>{{1,8},{2,3,7},{4,6},{5}}
[4,8,1,7,2,5,3,6]=>[1,8,4,7,5,6,2,3]=>{{1},{2,8},{3,4,7},{5},{6}}=>{{1,7},{2,5,6},{3},{4},{8}}
[8,4,1,6,2,5,3,7]=>[1,8,4,6,2,7,5,3]=>{{1},{2,8},{3,4,6,7},{5}}=>{{1,7},{2,3,5,6},{4},{8}}
[8,3,1,2,6,5,4,7]=>[1,8,3,2,6,7,5,4]=>{{1},{2,8},{3},{4},{5,6,7}}=>{{1,7},{2,3,4},{5},{6},{8}}
[1,4,2,8,3,7,6,5]=>[8,7,1,4,2,6,3,5]=>{{1,8},{2,7},{3},{4},{5},{6}}=>{{1,8},{2,7},{3},{4},{5},{6}}
[1,5,2,8,6,3,7,4]=>[5,1,8,6,2,7,3,4]=>{{1,5},{2},{3,8},{4,6,7}}=>{{1,6},{2,3,5},{4,8},{7}}
[1,6,4,2,8,7,3,5]=>[1,6,4,2,8,7,3,5]=>{{1},{2,6,7},{3,4},{5,8}}=>{{1,4},{2,3,7},{5,6},{8}}
[8,3,1,6,2,4,7,5]=>[3,1,2,6,4,8,7,5]=>{{1,3},{2},{4,6,8},{5},{7}}=>{{1,3,5},{2},{4},{6,8},{7}}
[1,4,2,8,7,3,6,5]=>[8,1,7,4,2,6,3,5]=>{{1,8},{2},{3,7},{4},{5},{6}}=>{{1,8},{2,6},{3},{4},{5},{7}}
[1,2,7,6,3,8,5,4]=>[7,6,1,8,5,2,3,4]=>{{1,7},{2,6},{3},{4,8},{5}}=>{{1,5},{2,8},{3,7},{4},{6}}
[1,7,4,2,8,6,3,5]=>[1,7,4,2,8,6,3,5]=>{{1},{2,7},{3,4},{5,8},{6}}=>{{1,4},{2,7},{3},{5,6},{8}}
[1,2,8,6,3,7,5,4]=>[8,6,1,7,5,2,3,4]=>{{1,8},{2,6},{3},{4,7},{5}}=>{{1,8},{2,5},{3,7},{4},{6}}
[6,1,4,5,3,7,8,2]=>[6,1,4,5,3,7,8,2]=>{{1,6,7,8},{2},{3,4,5}}=>{{1,2,3,8},{4,5,6},{7}}
[5,1,7,8,6,2,4,3]=>[7,5,6,4,1,2,8,3]=>{{1,7,8},{2,5},{3,6},{4}}=>{{1,2,8},{3,6},{4,7},{5}}
[6,1,4,8,3,5,7,2]=>[6,1,4,8,3,5,7,2]=>{{1,6},{2},{3,4,8},{5},{7}}=>{{1,5,6},{2},{3,8},{4},{7}}
[7,1,4,5,3,6,8,2]=>[7,1,4,5,3,6,8,2]=>{{1,7,8},{2},{3,4,5},{6}}=>{{1,2,8},{3},{4,5,6},{7}}
[8,1,4,5,3,6,7,2]=>[8,1,4,5,3,6,7,2]=>{{1,8},{2},{3,4,5},{6},{7}}=>{{1,8},{2},{3},{4,5,6},{7}}
[6,4,5,8,3,7,2,1]=>[6,4,3,8,2,5,7,1]=>{{1,6},{2,4,8},{3},{5},{7}}=>{{1,5,7},{2},{3,8},{4},{6}}
[5,4,8,6,3,1,7,2]=>[5,4,8,6,3,1,7,2]=>{{1,5},{2,4,6},{3,8},{7}}=>{{1,6},{2},{3,5,7},{4,8}}
[2,3,8,5,1,4,7,6]=>[2,1,5,8,7,3,4,6]=>{{1,2},{3,5,7},{4,8},{6}}=>{{1,5},{2,4,6},{3},{7,8}}
[2,7,6,1,4,3,5,8]=>[2,4,7,6,8,5,1,3]=>{{1,2,4,6},{3,7},{5,8}}=>{{1,4},{2,6},{3,5,7,8}}
[2,3,8,1,6,4,7,5]=>[2,1,8,6,7,3,4,5]=>{{1,2},{3,8},{4,6},{5,7}}=>{{1,6},{2,4},{3,5},{7,8}}
[1,2,3,4,5,6,7,9,8]=>[9,1,2,3,4,5,6,7,8]=>{{1,9},{2},{3},{4},{5},{6},{7},{8}}=>{{1,9},{2},{3},{4},{5},{6},{7},{8}}
[2,1,3,4,5,6,7,8,9]=>[2,3,4,5,6,7,8,9,1]=>{{1,2,3,4,5,6,7,8,9}}=>{{1,2,3,4,5,6,7,8,9}}
[1,2,3,4,5,6,7,8,10,9]=>[10,1,2,3,4,5,6,7,8,9]=>{{1,10},{2},{3},{4},{5},{6},{7},{8},{9}}=>{{1,10},{2},{3},{4},{5},{6},{7},{8},{9}}
[2,1,3,4,5,6,7,8,9,10]=>[2,3,4,5,6,7,8,9,10,1]=>{{1,2,3,4,5,6,7,8,9,10}}=>{{1,2,3,4,5,6,7,8,9,10}}
[1,2,3,4,5,6,7,8,9,11,10]=>[11,1,2,3,4,5,6,7,8,9,10]=>{{1,11},{2},{3},{4},{5},{6},{7},{8},{9},{10}}=>{{1,11},{2},{3},{4},{5},{6},{7},{8},{9},{10}}
[9,1,2,3,4,5,6,7,10,8]=>[9,1,2,3,4,5,6,7,10,8]=>{{1,9,10},{2},{3},{4},{5},{6},{7},{8}}=>{{1,2,10},{3},{4},{5},{6},{7},{8},{9}}
[7,1,2,3,4,5,6,9,8]=>[7,1,2,3,4,5,6,9,8]=>{{1,7},{2},{3},{4},{5},{6},{8,9}}=>{{1,2},{3,9},{4},{5},{6},{7},{8}}
[2,8,1,3,4,5,6,7,9]=>[2,3,4,5,6,8,9,1,7]=>{{1,2,3,4,5,6,8},{7,9}}=>{{1,3},{2,4,5,6,7,8,9}}
[2,10,1,3,4,5,6,7,8,9]=>[2,3,4,5,6,7,8,10,1,9]=>{{1,2,3,4,5,6,7,8,10},{9}}=>{{1,3,4,5,6,7,8,9,10},{2}}
[2,1,3,4,5,6,7,8,9,10,11]=>[2,3,4,5,6,7,8,9,10,11,1]=>{{1,2,3,4,5,6,7,8,9,10,11}}=>{{1,2,3,4,5,6,7,8,9,10,11}}
[7,8,5,4,1,3,6,2]=>[7,1,5,8,4,3,2,6]=>{{1,7},{2},{3,5},{4,8},{6}}=>{{1,5},{2,8},{3},{4,6},{7}}
[3,2,8,6,5,1,7,4]=>[3,2,8,6,5,1,7,4]=>{{1,3,8},{2},{4,6},{5},{7}}=>{{1,6,8},{2},{3,5},{4},{7}}
[8,1,7,2,6,3,5,4]=>[8,1,7,2,6,3,5,4]=>{{1,8},{2},{3,7},{4},{5,6}}=>{{1,8},{2,6},{3,4},{5},{7}}
[6,1,8,2,4,7,3,5]=>[6,8,1,2,4,3,7,5]=>{{1,6},{2,8},{3},{4},{5},{7}}=>{{1,7},{2},{3,8},{4},{5},{6}}
[3,2,1,8,4,7,5,6]=>[3,4,2,5,1,8,7,6]=>{{1,3},{2,4,5},{6,8},{7}}=>{{1,3},{2},{4,5,7},{6,8}}
[6,8,7,1,3,5,4,2]=>[8,6,1,5,7,3,2,4]=>{{1,8},{2,6},{3},{4,5,7}}=>{{1,8},{2,4,5},{3,7},{6}}
[7,8,6,1,5,3,4,2]=>[7,1,6,5,8,3,2,4]=>{{1,7},{2},{3,6},{4,5,8}}=>{{1,4,5},{2,8},{3,6},{7}}
[8,7,6,1,5,4,3,2]=>[8,7,6,1,5,4,3,2]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[1,8,7,2,6,5,3,4]=>[1,8,7,2,6,5,3,4]=>{{1},{2,8},{3,7},{4},{5,6}}=>{{1,7},{2,6},{3,4},{5},{8}}
[1,7,8,2,5,6,3,4]=>[7,8,1,5,6,2,3,4]=>{{1,7},{2,8},{3},{4,5,6}}=>{{1,7},{2,8},{3,4,5},{6}}
[1,6,8,4,2,7,3,5]=>[1,6,4,8,7,2,3,5]=>{{1},{2,6},{3,4,8},{5,7}}=>{{1,5,6},{2,4},{3,7},{8}}
[1,5,4,8,2,7,3,6]=>[1,5,4,8,2,7,3,6]=>{{1},{2,5},{3,4,8},{6,7}}=>{{1,5,6},{2,3},{4,7},{8}}
[8,4,3,7,1,6,5,2]=>[8,4,3,7,1,6,5,2]=>{{1,8},{2,4,7},{3},{5},{6}}=>{{1,8},{2,5,7},{3},{4},{6}}
[6,4,3,1,5,2,7,8]=>[4,6,7,1,8,5,3,2]=>{{1,4},{2,6},{3,7},{5,8}}=>{{1,4},{2,6},{3,7},{5,8}}
[7,4,3,1,2,6,5,8]=>[1,4,3,7,8,6,5,2]=>{{1},{2,4,7},{3},{5,8},{6}}=>{{1,4},{2,5,7},{3},{6},{8}}
[4,6,2,1,5,3,7,8]=>[4,6,7,2,8,5,1,3]=>{{1,4},{2,6},{3,7},{5,8}}=>{{1,4},{2,6},{3,7},{5,8}}
[6,7,1,2,4,5,3,8]=>[1,6,2,4,7,8,3,5]=>{{1},{2,6,8},{3},{4},{5,7}}=>{{1,3,7},{2,4},{5},{6},{8}}
[8,6,1,2,5,3,7,4]=>[6,1,8,2,3,7,5,4]=>{{1,6,7},{2},{3,8},{4},{5}}=>{{1,6},{2,3,8},{4},{5},{7}}
[8,7,1,2,3,6,5,4]=>[8,7,1,2,3,6,5,4]=>{{1,8},{2,7},{3},{4},{5},{6}}=>{{1,8},{2,7},{3},{4},{5},{6}}
[6,8,1,2,4,3,7,5]=>[6,1,8,2,4,7,3,5]=>{{1,6,7},{2},{3,8},{4},{5}}=>{{1,6},{2,3,8},{4},{5},{7}}
[5,1,2,4,3,6,7,8]=>[1,2,5,6,4,7,8,3]=>{{1},{2},{3,5},{4,6,7,8}}=>{{1,2,3,5},{4,6},{7},{8}}
[8,1,2,3,4,5,7,6]=>[8,1,2,3,4,5,7,6]=>{{1,8},{2},{3},{4},{5},{6},{7}}=>{{1,8},{2},{3},{4},{5},{6},{7}}
[6,7,4,5,1,8,3,2]=>[6,4,3,7,5,8,1,2]=>{{1,6,8},{2,4,7},{3},{5}}=>{{1,3,8},{2,5,7},{4},{6}}
[5,3,7,8,6,1,2,4]=>[5,7,8,3,1,2,6,4]=>{{1,5},{2,7},{3,8},{4},{6}}=>{{1,6},{2,7},{3},{4,8},{5}}
[8,2,4,5,1,6,3,7]=>[2,4,1,8,5,6,7,3]=>{{1,2,4,8},{3},{5},{6},{7}}=>{{1,5,7,8},{2},{3},{4},{6}}
[1,5,6,8,2,3,7,4]=>[8,5,6,7,1,2,3,4]=>{{1,8},{2,5},{3,6},{4,7}}=>{{1,8},{2,5},{3,6},{4,7}}
[6,7,2,8,1,5,3,4]=>[6,7,2,8,1,5,3,4]=>{{1,6},{2,7},{3},{4,8},{5}}=>{{1,5},{2,7},{3,8},{4},{6}}
[6,7,8,2,1,4,3,5]=>[6,7,2,8,4,1,3,5]=>{{1,6},{2,7},{3},{4,8},{5}}=>{{1,5},{2,7},{3,8},{4},{6}}
[2,1,8,3,4,7,6,5]=>[8,7,2,3,4,1,6,5]=>{{1,8},{2,7},{3},{4},{5},{6}}=>{{1,8},{2,7},{3},{4},{5},{6}}
[1,8,2,3,4,5,7,6]=>[8,1,2,3,4,7,5,6]=>{{1,8},{2},{3},{4},{5},{6,7}}=>{{1,8},{2,3},{4},{5},{6},{7}}
[4,2,1,6,5,8,7,3]=>[4,2,1,6,5,8,7,3]=>{{1,4,6,8},{2},{3},{5},{7}}=>{{1,3,5,8},{2},{4},{6},{7}}
[5,2,7,4,8,1,6,3]=>[5,2,7,1,4,3,8,6]=>{{1,5},{2},{3,7,8},{4},{6}}=>{{1,2,6},{3},{4,8},{5},{7}}
[5,7,1,3,8,2,6,4]=>[5,3,7,1,6,8,2,4]=>{{1,5,6,8},{2,3,7},{4}}=>{{1,3,4,8},{2,6,7},{5}}
[5,7,3,1,8,6,2,4]=>[5,7,3,1,8,6,2,4]=>{{1,5,8},{2,7},{3},{4},{6}}=>{{1,4,8},{2,7},{3},{5},{6}}
[6,7,3,8,1,5,2,4]=>[6,7,3,8,1,5,2,4]=>{{1,6},{2,7},{3},{4,8},{5}}=>{{1,5},{2,7},{3,8},{4},{6}}
[6,7,1,8,3,5,2,4]=>[6,7,3,5,1,8,2,4]=>{{1,6,8},{2,7},{3},{4,5}}=>{{1,3,8},{2,7},{4,5},{6}}
[6,2,7,8,1,4,5,3]=>[6,2,7,8,1,4,5,3]=>{{1,6},{2},{3,7},{4,8},{5}}=>{{1,5},{2,6},{3,8},{4},{7}}
[5,2,7,1,8,4,6,3]=>[5,2,7,1,8,4,6,3]=>{{1,5,8},{2},{3,7},{4},{6}}=>{{1,4,8},{2,6},{3},{5},{7}}
[5,7,2,1,8,6,3,4]=>[5,7,2,1,8,6,3,4]=>{{1,5,8},{2,7},{3},{4},{6}}=>{{1,4,8},{2,7},{3},{5},{6}}
[5,1,7,2,8,6,4,3]=>[7,5,4,1,6,2,8,3]=>{{1,7,8},{2,5,6},{3,4}}=>{{1,2,8},{3,4,7},{5,6}}
[1,6,7,8,3,5,4,2]=>[6,5,3,7,1,2,4,8]=>{{1,6},{2,5},{3},{4,7},{8}}=>{{1},{2,5},{3,8},{4,7},{6}}
[6,7,8,2,4,1,3,5]=>[6,7,8,2,4,1,3,5]=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}
[6,3,4,5,8,7,2,1]=>[6,3,2,1,4,5,8,7]=>{{1,6},{2,3},{4},{5},{7,8}}=>{{1,2},{3,8},{4},{5},{6,7}}
[5,6,1,4,8,7,3,2]=>[5,4,3,1,6,8,2,7]=>{{1,5,6,8},{2,4},{3},{7}}=>{{1,3,4,8},{2},{5,7},{6}}
[3,6,4,8,5,7,1,2]=>[6,8,3,4,1,5,2,7]=>{{1,6},{2,8},{3},{4},{5},{7}}=>{{1,7},{2},{3,8},{4},{5},{6}}
[5,3,7,1,6,8,2,4]=>[5,7,1,3,8,2,6,4]=>{{1,5,8},{2,7},{3},{4},{6}}=>{{1,4,8},{2,7},{3},{5},{6}}
[4,3,8,5,6,7,2,1]=>[4,3,2,5,6,1,8,7]=>{{1,4,5,6},{2,3},{7,8}}=>{{1,2},{3,4,5,8},{6,7}}
[6,3,7,5,2,8,1,4]=>[6,7,3,5,2,1,8,4]=>{{1,6},{2,7,8},{3},{4,5}}=>{{1,2,7},{3,8},{4,5},{6}}
[4,3,8,7,1,5,6,2]=>[8,4,5,7,3,1,6,2]=>{{1,8},{2,4,7},{3,5},{6}}=>{{1,8},{2,5,7},{3},{4,6}}
[7,2,6,3,5,4,8,1]=>[7,2,6,3,5,4,8,1]=>{{1,7,8},{2},{3,6},{4},{5}}=>{{1,2,8},{3,6},{4},{5},{7}}
[2,7,6,5,3,4,8,1]=>[7,2,3,6,5,4,1,8]=>{{1,7},{2},{3},{4,6},{5},{8}}=>{{1},{2,8},{3,5},{4},{6},{7}}
[8,7,5,2,6,4,3,1]=>[8,7,5,2,6,4,3,1]=>{{1,8},{2,7},{3,5,6},{4}}=>{{1,8},{2,7},{3,4,6},{5}}
[8,7,1,6,2,5,4,3]=>[8,7,1,6,2,5,4,3]=>{{1,8},{2,7},{3},{4,6},{5}}=>{{1,8},{2,7},{3,5},{4},{6}}
[4,8,1,3,7,2,6,5]=>[8,4,7,1,3,6,2,5]=>{{1,8},{2,4},{3,7},{5},{6}}=>{{1,8},{2,6},{3},{4},{5,7}}
[4,2,8,5,7,3,6,1]=>[8,4,5,2,3,1,7,6]=>{{1,8},{2,4},{3,5},{6},{7}}=>{{1,8},{2},{3},{4,6},{5,7}}
[6,7,3,1,8,4,2,5]=>[6,7,3,1,8,4,2,5]=>{{1,6},{2,7},{3},{4},{5,8}}=>{{1,4},{2,7},{3,8},{5},{6}}
[8,1,2,7,3,4,6,5]=>[8,1,2,7,3,4,6,5]=>{{1,8},{2},{3},{4,7},{5},{6}}=>{{1,8},{2,5},{3},{4},{6},{7}}
[8,2,6,1,7,3,5,4]=>[8,2,6,1,7,3,5,4]=>{{1,8},{2},{3,6},{4},{5,7}}=>{{1,8},{2,4},{3,6},{5},{7}}
[5,4,3,1,6,8,2,7]=>[5,6,1,4,8,7,3,2]=>{{1,5,8},{2,6,7},{3},{4}}=>{{1,4,8},{2,3,7},{5},{6}}
[6,5,4,8,2,7,3,1]=>[6,5,4,8,2,7,3,1]=>{{1,6,7},{2,5},{3,4,8}}=>{{1,5,6},{2,3,8},{4,7}}
[6,5,1,8,7,4,2,3]=>[1,6,5,4,2,8,7,3]=>{{1},{2,6,8},{3,5},{4},{7}}=>{{1,3,7},{2},{4,6},{5},{8}}
[5,7,3,8,2,6,4,1]=>[5,3,2,7,1,6,4,8]=>{{1,5},{2,3},{4,7},{6},{8}}=>{{1},{2,5},{3},{4,8},{6,7}}
[8,1,7,6,5,2,4,3]=>[8,1,7,6,5,2,4,3]=>{{1,8},{2},{3,7},{4,6},{5}}=>{{1,8},{2,6},{3,5},{4},{7}}
[7,1,8,6,5,3,2,4]=>[1,7,6,5,3,2,8,4]=>{{1},{2,7,8},{3,6},{4,5}}=>{{1,2,7},{3,6},{4,5},{8}}
[1,2,8,7,6,3,4,5]=>[1,2,8,7,6,3,4,5]=>{{1},{2},{3,8},{4,7},{5,6}}=>{{1,6},{2,5},{3,4},{7},{8}}
[1,3,8,7,4,6,2,5]=>[3,8,1,7,6,2,4,5]=>{{1,3},{2,8},{4,7},{5,6}}=>{{1,7},{2,5},{3,4},{6,8}}
[1,5,8,3,7,6,2,4]=>[5,8,7,3,6,1,2,4]=>{{1,5,6},{2,8},{3,7},{4}}=>{{1,7},{2,6},{3,4,8},{5}}
[1,8,7,6,5,4,2,3]=>[1,8,7,6,5,4,2,3]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1,7},{2,6},{3,5},{4},{8}}
[5,8,6,7,3,4,1,2]=>[5,8,3,6,1,4,2,7]=>{{1,5},{2,8},{3},{4,6},{7}}=>{{1,7},{2},{3,5},{4,8},{6}}
[1,8,6,7,4,5,2,3]=>[6,8,4,7,1,5,2,3]=>{{1,6},{2,8},{3,4,7},{5}}=>{{1,7},{2,5,6},{3,8},{4}}
[1,8,5,7,4,6,2,3]=>[5,8,4,7,1,6,2,3]=>{{1,5},{2,8},{3,4,7},{6}}=>{{1,7},{2,5,6},{3},{4,8}}
[3,8,5,7,4,6,1,2]=>[5,8,3,7,1,4,2,6]=>{{1,5},{2,8},{3},{4,7},{6}}=>{{1,7},{2,5},{3},{4,8},{6}}
[7,8,3,6,4,5,1,2]=>[7,8,3,6,4,5,1,2]=>{{1,7},{2,8},{3},{4,6},{5}}=>{{1,7},{2,8},{3,5},{4},{6}}
[6,8,3,7,4,5,1,2]=>[6,8,3,7,4,5,1,2]=>{{1,6},{2,8},{3},{4,7},{5}}=>{{1,7},{2,5},{3,8},{4},{6}}
[5,8,3,7,4,6,1,2]=>[5,8,3,7,4,6,1,2]=>{{1,5},{2,8},{3},{4,7},{6}}=>{{1,7},{2,5},{3},{4,8},{6}}
[3,7,4,8,5,6,1,2]=>[7,8,3,4,1,5,2,6]=>{{1,7},{2,8},{3},{4},{5},{6}}=>{{1,7},{2,8},{3},{4},{5},{6}}
[4,7,3,8,5,6,1,2]=>[4,7,3,5,1,8,2,6]=>{{1,4,5},{2,7},{3},{6,8}}=>{{1,3},{2,7},{4,5,8},{6}}
[4,7,2,8,5,6,1,3]=>[4,7,2,5,1,8,3,6]=>{{1,4,5},{2,7},{3},{6,8}}=>{{1,3},{2,7},{4,5,8},{6}}
[5,8,2,7,4,6,1,3]=>[5,8,2,7,4,6,1,3]=>{{1,5},{2,8},{3},{4,7},{6}}=>{{1,7},{2,5},{3},{4,8},{6}}
[6,8,2,7,4,5,1,3]=>[6,8,2,7,4,5,1,3]=>{{1,6},{2,8},{3},{4,7},{5}}=>{{1,7},{2,5},{3,8},{4},{6}}
[7,8,2,6,4,5,1,3]=>[7,8,2,6,4,5,1,3]=>{{1,7},{2,8},{3},{4,6},{5}}=>{{1,7},{2,8},{3,5},{4},{6}}
[7,8,1,6,4,5,2,3]=>[7,8,1,6,4,5,2,3]=>{{1,7},{2,8},{3},{4,6},{5}}=>{{1,7},{2,8},{3,5},{4},{6}}
[6,8,1,7,4,5,2,3]=>[6,8,1,7,4,5,2,3]=>{{1,6},{2,8},{3},{4,7},{5}}=>{{1,7},{2,5},{3,8},{4},{6}}
[5,8,1,7,4,6,2,3]=>[5,8,1,7,4,6,2,3]=>{{1,5},{2,8},{3},{4,7},{6}}=>{{1,7},{2,5},{3},{4,8},{6}}
[1,7,3,8,5,6,2,4]=>[7,8,1,3,2,5,4,6]=>{{1,7},{2,8},{3},{4},{5},{6}}=>{{1,7},{2,8},{3},{4},{5},{6}}
[4,8,1,7,3,6,2,5]=>[4,8,1,7,3,6,2,5]=>{{1,4,7},{2,8},{3},{5},{6}}=>{{1,7},{2,5,8},{3},{4},{6}}
[5,8,1,7,3,6,2,4]=>[5,8,1,7,3,6,2,4]=>{{1,5},{2,8},{3},{4,7},{6}}=>{{1,7},{2,5},{3},{4,8},{6}}
[6,8,1,7,3,5,2,4]=>[6,8,1,7,3,5,2,4]=>{{1,6},{2,8},{3},{4,7},{5}}=>{{1,7},{2,5},{3,8},{4},{6}}
[7,8,2,6,3,5,1,4]=>[7,8,2,6,3,5,1,4]=>{{1,7},{2,8},{3},{4,6},{5}}=>{{1,7},{2,8},{3,5},{4},{6}}
[6,8,2,7,3,5,1,4]=>[6,8,2,7,3,5,1,4]=>{{1,6},{2,8},{3},{4,7},{5}}=>{{1,7},{2,5},{3,8},{4},{6}}
[5,8,2,7,3,6,1,4]=>[5,8,2,7,3,6,1,4]=>{{1,5},{2,8},{3},{4,7},{6}}=>{{1,7},{2,5},{3},{4,8},{6}}
[4,8,2,7,3,6,1,5]=>[4,8,2,7,3,6,1,5]=>{{1,4,7},{2,8},{3},{5},{6}}=>{{1,7},{2,5,8},{3},{4},{6}}
[3,7,2,8,4,6,1,5]=>[3,7,2,6,1,8,4,5]=>{{1,3},{2,7},{4,6,8},{5}}=>{{1,3,5},{2,7},{4},{6,8}}
[3,7,1,8,4,6,2,5]=>[7,8,3,4,1,6,2,5]=>{{1,7},{2,8},{3},{4},{5},{6}}=>{{1,7},{2,8},{3},{4},{5},{6}}
[1,8,4,7,3,6,2,5]=>[4,8,3,7,1,6,2,5]=>{{1,4,7},{2,8},{3},{5},{6}}=>{{1,7},{2,5,8},{3},{4},{6}}
[2,8,4,7,3,6,1,5]=>[4,8,2,7,1,6,3,5]=>{{1,4,7},{2,8},{3},{5},{6}}=>{{1,7},{2,5,8},{3},{4},{6}}
[3,8,4,7,2,6,1,5]=>[3,8,2,7,1,6,4,5]=>{{1,3},{2,8},{4,7},{5},{6}}=>{{1,7},{2,5},{3},{4},{6,8}}
[4,8,5,7,2,6,1,3]=>[4,8,2,7,1,5,3,6]=>{{1,4,7},{2,8},{3},{5},{6}}=>{{1,7},{2,5,8},{3},{4},{6}}
[2,8,5,7,3,6,1,4]=>[5,8,2,7,1,6,3,4]=>{{1,5},{2,8},{3},{4,7},{6}}=>{{1,7},{2,5},{3},{4,8},{6}}
[1,8,5,7,3,6,2,4]=>[5,8,3,7,1,6,2,4]=>{{1,5},{2,8},{3},{4,7},{6}}=>{{1,7},{2,5},{3},{4,8},{6}}
[1,8,6,7,3,5,2,4]=>[6,8,3,7,1,5,2,4]=>{{1,6},{2,8},{3},{4,7},{5}}=>{{1,7},{2,5},{3,8},{4},{6}}
[2,8,6,7,3,5,1,4]=>[6,8,2,7,1,5,3,4]=>{{1,6},{2,8},{3},{4,7},{5}}=>{{1,7},{2,5},{3,8},{4},{6}}
[4,8,6,7,2,5,1,3]=>[4,8,2,6,1,5,3,7]=>{{1,4,6},{2,8},{3},{5},{7}}=>{{1,7},{2},{3,5,8},{4},{6}}
[5,8,6,7,1,4,2,3]=>[5,8,6,7,1,4,2,3]=>{{1,5},{2,8},{3,6},{4,7}}=>{{1,7},{2,5},{3,6},{4,8}}
[4,8,6,7,1,5,2,3]=>[4,8,6,7,1,5,2,3]=>{{1,4,7},{2,8},{3,6},{5}}=>{{1,7},{2,5,8},{3,6},{4}}
[3,8,6,7,1,5,2,4]=>[3,8,6,7,1,5,2,4]=>{{1,3,6},{2,8},{4,7},{5}}=>{{1,7},{2,5},{3,6,8},{4}}
[1,5,2,8,6,7,3,4]=>[5,8,1,6,2,7,3,4]=>{{1,5},{2,8},{3},{4,6,7}}=>{{1,7},{2,3,5},{4,8},{6}}
[2,6,1,8,5,7,3,4]=>[6,8,2,5,1,7,3,4]=>{{1,6,7},{2,8},{3},{4,5}}=>{{1,7},{2,3,8},{4,5},{6}}
[1,6,2,8,5,7,3,4]=>[6,8,1,5,2,7,3,4]=>{{1,6,7},{2,8},{3},{4,5}}=>{{1,7},{2,3,8},{4,5},{6}}
[3,8,5,7,1,6,2,4]=>[3,8,5,7,1,6,2,4]=>{{1,3,5},{2,8},{4,7},{6}}=>{{1,7},{2,5},{3},{4,6,8}}
[6,8,4,7,1,5,2,3]=>[1,8,6,7,4,5,2,3]=>{{1},{2,8},{3,6},{4,7},{5}}=>{{1,7},{2,5},{3,6},{4},{8}}
[6,8,3,7,1,5,2,4]=>[1,8,6,7,3,5,2,4]=>{{1},{2,8},{3,6},{4,7},{5}}=>{{1,7},{2,5},{3,6},{4},{8}}
[4,8,3,7,1,6,2,5]=>[1,8,4,7,3,6,2,5]=>{{1},{2,8},{3,4,7},{5},{6}}=>{{1,7},{2,5,6},{3},{4},{8}}
[3,8,4,7,1,6,2,5]=>[3,8,4,7,1,6,2,5]=>{{1,3,4,7},{2,8},{5},{6}}=>{{1,7},{2,5,6,8},{3},{4}}
[3,7,2,6,1,8,4,5]=>[3,7,2,8,4,6,1,5]=>{{1,3},{2,7},{4,8},{5},{6}}=>{{1,5},{2,7},{3},{4},{6,8}}
[4,8,1,6,2,7,3,5]=>[1,4,2,8,6,7,3,5]=>{{1},{2,4,8},{3},{5,6,7}}=>{{1,5,7},{2,3,4},{6},{8}}
[5,8,1,6,2,7,3,4]=>[1,5,2,8,6,7,3,4]=>{{1},{2,5,6,7},{3},{4,8}}=>{{1,5},{2,3,4,7},{6},{8}}
[6,8,2,5,1,7,3,4]=>[2,6,1,8,5,7,3,4]=>{{1,2,6,7},{3},{4,8},{5}}=>{{1,5},{2,3,7,8},{4},{6}}
[5,8,2,6,1,7,3,4]=>[5,6,2,8,3,7,1,4]=>{{1,5},{2,6,7},{3},{4,8}}=>{{1,5},{2,3,7},{4,8},{6}}
[4,8,2,6,1,7,3,5]=>[4,6,2,8,3,7,1,5]=>{{1,4,8},{2,6,7},{3},{5}}=>{{1,5,8},{2,3,7},{4},{6}}
[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>{{1},{2},{3},{4},{5},{6},{7},{8},{9}}=>{{1},{2},{3},{4},{5},{6},{7},{8},{9}}
[1,2,3,4,5,6,8,9,7]=>[8,1,2,3,4,5,6,7,9]=>{{1,8},{2},{3},{4},{5},{6},{7},{9}}=>{{1},{2,9},{3},{4},{5},{6},{7},{8}}
[1,2,3,4,5,7,8,9,6]=>[7,1,2,3,4,5,6,8,9]=>{{1,7},{2},{3},{4},{5},{6},{8},{9}}=>{{1},{2},{3,9},{4},{5},{6},{7},{8}}
[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>{{1},{2},{3},{4},{5},{6},{7},{8},{9},{10}}=>{{1},{2},{3},{4},{5},{6},{7},{8},{9},{10}}
[1,2,3,4,5,6,9,8,7]=>[9,8,1,2,3,4,5,6,7]=>{{1,9},{2,8},{3},{4},{5},{6},{7}}=>{{1,9},{2,8},{3},{4},{5},{6},{7}}
[1,2,3,4,5,6,7,9,10,8]=>[9,1,2,3,4,5,6,7,8,10]=>{{1,9},{2},{3},{4},{5},{6},{7},{8},{10}}=>{{1},{2,10},{3},{4},{5},{6},{7},{8},{9}}
[3,2,4,5,6,7,8,9,1]=>[3,2,4,5,6,7,8,9,1]=>{{1,3,4,5,6,7,8,9},{2}}=>{{1,2,3,4,5,6,7,9},{8}}
[6,7,4,5,2,8,1,3]=>[6,7,4,5,2,8,1,3]=>{{1,6,8},{2,7},{3,4,5}}=>{{1,3,8},{2,7},{4,5,6}}
[5,7,4,6,2,3,1,8]=>[5,7,4,8,2,6,1,3]=>{{1,5},{2,7},{3,4,8},{6}}=>{{1,5,6},{2,7},{3},{4,8}}
[5,7,4,6,3,8,1,2]=>[5,7,4,6,3,8,1,2]=>{{1,5},{2,7},{3,4,6,8}}=>{{1,3,5,6},{2,7},{4,8}}
[6,8,4,5,3,7,1,2]=>[6,8,4,5,3,7,1,2]=>{{1,6,7},{2,8},{3,4,5}}=>{{1,7},{2,3,8},{4,5,6}}
[5,8,4,6,3,7,1,2]=>[5,8,4,6,3,7,1,2]=>{{1,5},{2,8},{3,4,6,7}}=>{{1,7},{2,3,5,6},{4,8}}
[5,6,3,7,2,4,1,8]=>[5,6,3,7,2,4,1,8]=>{{1,5},{2,6},{3},{4,7},{8}}=>{{1},{2,5},{3,7},{4,8},{6}}
[5,6,3,7,2,8,1,4]=>[5,6,3,4,2,7,1,8]=>{{1,5},{2,6,7},{3},{4},{8}}=>{{1},{2,3,7},{4,8},{5},{6}}
[5,6,3,8,2,7,1,4]=>[5,8,3,6,2,4,1,7]=>{{1,5},{2,8},{3},{4,6},{7}}=>{{1,7},{2},{3,5},{4,8},{6}}
[5,6,4,8,2,7,1,3]=>[5,8,4,6,2,3,1,7]=>{{1,5},{2,8},{3,4,6},{7}}=>{{1,7},{2},{3,5,6},{4,8}}
[5,8,4,6,2,7,1,3]=>[5,8,4,6,2,7,1,3]=>{{1,5},{2,8},{3,4,6,7}}=>{{1,7},{2,3,5,6},{4,8}}
[6,8,4,5,2,7,1,3]=>[6,8,4,5,2,7,1,3]=>{{1,6,7},{2,8},{3,4,5}}=>{{1,7},{2,3,8},{4,5,6}}
[7,8,4,5,2,6,1,3]=>[7,8,4,5,2,6,1,3]=>{{1,7},{2,8},{3,4,5},{6}}=>{{1,7},{2,8},{3},{4,5,6}}
[5,8,4,6,2,3,1,7]=>[5,6,4,8,2,7,1,3]=>{{1,5},{2,6,7},{3,4,8}}=>{{1,5,6},{2,3,7},{4,8}}
[5,6,4,8,2,3,1,7]=>[5,6,4,8,2,3,1,7]=>{{1,5},{2,6},{3,4,8},{7}}=>{{1,5,6},{2},{3,7},{4,8}}
[5,6,3,8,2,4,1,7]=>[5,6,3,8,2,4,1,7]=>{{1,5},{2,6},{3},{4,8},{7}}=>{{1,5},{2},{3,7},{4,8},{6}}
[5,6,3,4,2,8,1,7]=>[5,6,3,4,2,8,1,7]=>{{1,5},{2,6,8},{3},{4},{7}}=>{{1,3,7},{2},{4,8},{5},{6}}
[4,6,3,5,2,7,1,8]=>[4,6,3,7,2,8,1,5]=>{{1,4,7},{2,6,8},{3},{5}}=>{{1,3,7},{2,5,8},{4},{6}}
[4,6,3,5,2,8,1,7]=>[4,6,3,5,2,8,1,7]=>{{1,4,5},{2,6,8},{3},{7}}=>{{1,3,7},{2},{4,5,8},{6}}
[4,6,3,8,2,5,1,7]=>[4,6,3,8,2,5,1,7]=>{{1,4,8},{2,6},{3},{5},{7}}=>{{1,5,8},{2},{3,7},{4},{6}}
[4,8,3,6,2,5,1,7]=>[4,6,3,8,2,7,1,5]=>{{1,4,8},{2,6,7},{3},{5}}=>{{1,5,8},{2,3,7},{4},{6}}
[5,8,3,6,2,4,1,7]=>[5,6,3,8,2,7,1,4]=>{{1,5},{2,6,7},{3},{4,8}}=>{{1,5},{2,3,7},{4,8},{6}}
[7,8,3,5,2,6,1,4]=>[7,8,3,5,2,6,1,4]=>{{1,7},{2,8},{3},{4,5},{6}}=>{{1,7},{2,8},{3},{4,5},{6}}
[5,8,3,6,2,7,1,4]=>[5,8,3,6,2,7,1,4]=>{{1,5},{2,8},{3},{4,6,7}}=>{{1,7},{2,3,5},{4,8},{6}}
[4,8,3,6,2,7,1,5]=>[4,8,3,6,2,7,1,5]=>{{1,4,6,7},{2,8},{3},{5}}=>{{1,7},{2,3,5,8},{4},{6}}
[4,6,3,8,2,7,1,5]=>[4,8,3,6,2,5,1,7]=>{{1,4,6},{2,8},{3},{5},{7}}=>{{1,7},{2},{3,5,8},{4},{6}}
[4,6,3,7,2,8,1,5]=>[4,6,3,5,2,7,1,8]=>{{1,4,5},{2,6,7},{3},{8}}=>{{1},{2,3,7},{4,5,8},{6}}
[4,7,3,6,2,5,1,8]=>[4,7,3,8,2,6,1,5]=>{{1,4,8},{2,7},{3},{5},{6}}=>{{1,5,8},{2,7},{3},{4},{6}}
[4,7,3,6,2,8,1,5]=>[4,7,3,6,2,8,1,5]=>{{1,4,6,8},{2,7},{3},{5}}=>{{1,3,5,8},{2,7},{4},{6}}
[4,7,3,8,2,6,1,5]=>[4,7,3,6,2,5,1,8]=>{{1,4,6},{2,7},{3},{5},{8}}=>{{1},{2,7},{3,5,8},{4},{6}}
[5,7,4,8,2,6,1,3]=>[5,7,4,6,2,3,1,8]=>{{1,5},{2,7},{3,4,6},{8}}=>{{1},{2,7},{3,5,6},{4,8}}
[5,7,3,6,2,8,1,4]=>[5,7,3,6,2,8,1,4]=>{{1,5},{2,7},{3},{4,6,8}}=>{{1,3,5},{2,7},{4,8},{6}}
[5,7,3,6,2,4,1,8]=>[5,7,3,8,2,6,1,4]=>{{1,5},{2,7},{3},{4,8},{6}}=>{{1,5},{2,7},{3},{4,8},{6}}
[6,7,3,5,2,4,1,8]=>[6,7,3,8,2,5,1,4]=>{{1,6},{2,7},{3},{4,8},{5}}=>{{1,5},{2,7},{3,8},{4},{6}}
[6,7,3,5,2,8,1,4]=>[6,7,3,5,2,8,1,4]=>{{1,6,8},{2,7},{3},{4,5}}=>{{1,3,8},{2,7},{4,5},{6}}
[6,7,4,8,2,5,1,3]=>[6,7,4,5,2,3,1,8]=>{{1,6},{2,7},{3,4,5},{8}}=>{{1},{2,7},{3,8},{4,5,6}}
[6,7,4,8,2,3,1,5]=>[6,7,4,8,2,3,1,5]=>{{1,6},{2,7},{3,4,8},{5}}=>{{1,5,6},{2,7},{3,8},{4}}
[6,7,3,8,2,4,1,5]=>[6,7,3,8,2,4,1,5]=>{{1,6},{2,7},{3},{4,8},{5}}=>{{1,5},{2,7},{3,8},{4},{6}}
[6,7,3,4,2,8,1,5]=>[6,7,3,4,2,8,1,5]=>{{1,6,8},{2,7},{3},{4},{5}}=>{{1,3,8},{2,7},{4},{5},{6}}
[5,7,4,8,2,3,1,6]=>[5,7,4,8,2,3,1,6]=>{{1,5},{2,7},{3,4,8},{6}}=>{{1,5,6},{2,7},{3},{4,8}}
[6,8,4,7,2,3,1,5]=>[2,6,4,8,3,7,1,5]=>{{1,2,6,7},{3,4,8},{5}}=>{{1,5,6},{2,3,7,8},{4}}
[6,8,3,7,2,4,1,5]=>[3,6,4,8,2,7,1,5]=>{{1,3,4,8},{2,6,7},{5}}=>{{1,5,6,8},{2,3,7},{4}}
[4,8,3,7,2,5,1,6]=>[4,5,3,8,2,7,1,6]=>{{1,4,8},{2,5},{3},{6,7}}=>{{1,5,8},{2,3},{4,7},{6}}
[4,7,3,8,2,5,1,6]=>[4,7,3,8,2,5,1,6]=>{{1,4,8},{2,7},{3},{5},{6}}=>{{1,5,8},{2,7},{3},{4},{6}}
[4,7,3,5,2,8,1,6]=>[4,7,3,5,2,8,1,6]=>{{1,4,5},{2,7},{3},{6,8}}=>{{1,3},{2,7},{4,5,8},{6}}
[4,7,3,5,2,6,1,8]=>[4,5,3,7,2,8,1,6]=>{{1,4,7},{2,5},{3},{6,8}}=>{{1,3},{2,5,8},{4,7},{6}}
[4,5,3,7,2,6,1,8]=>[4,5,3,7,2,6,1,8]=>{{1,4,7},{2,5},{3},{6},{8}}=>{{1},{2,5,8},{3},{4,7},{6}}
[4,5,3,7,2,8,1,6]=>[4,7,3,5,2,6,1,8]=>{{1,4,5},{2,7},{3},{6},{8}}=>{{1},{2,7},{3},{4,5,8},{6}}
[4,5,3,8,2,7,1,6]=>[4,8,3,7,2,5,1,6]=>{{1,4,7},{2,8},{3},{5},{6}}=>{{1,7},{2,5,8},{3},{4},{6}}
[4,8,3,5,2,7,1,6]=>[4,8,3,5,2,7,1,6]=>{{1,4,5},{2,8},{3},{6,7}}=>{{1,7},{2,3},{4,5,8},{6}}
[5,8,3,4,2,7,1,6]=>[5,8,3,4,2,7,1,6]=>{{1,5},{2,8},{3},{4},{6,7}}=>{{1,7},{2,3},{4,8},{5},{6}}
[6,8,3,4,2,7,1,5]=>[6,8,3,4,2,7,1,5]=>{{1,6,7},{2,8},{3},{4},{5}}=>{{1,7},{2,3,8},{4},{5},{6}}
[7,8,3,4,2,6,1,5]=>[7,8,3,4,2,6,1,5]=>{{1,7},{2,8},{3},{4},{5},{6}}=>{{1,7},{2,8},{3},{4},{5},{6}}
[4,8,3,5,2,6,1,7]=>[4,5,3,6,2,8,1,7]=>{{1,4,6,8},{2,5},{3},{7}}=>{{1,3,5,8},{2},{4,7},{6}}
[4,5,3,8,2,6,1,7]=>[4,5,3,8,2,6,1,7]=>{{1,4,8},{2,5},{3},{6},{7}}=>{{1,5,8},{2},{3},{4,7},{6}}
[4,5,3,6,2,8,1,7]=>[4,8,3,5,2,6,1,7]=>{{1,4,5},{2,8},{3},{6},{7}}=>{{1,7},{2},{3},{4,5,8},{6}}
[4,6,5,2,1,3,8,7]=>[4,2,6,8,5,3,1,7]=>{{1,4,8},{2},{3,6},{5},{7}}=>{{1,5,8},{2},{3,6},{4},{7}}
[4,7,8,1,6,3,5,2]=>[7,4,6,3,8,1,2,5]=>{{1,7},{2,4},{3,6},{5,8}}=>{{1,4},{2,8},{3,6},{5,7}}
[7,4,8,1,6,5,3,2]=>[7,6,4,3,8,1,5,2]=>{{1,7},{2,6},{3,4},{5,8}}=>{{1,4},{2,8},{3,7},{5,6}}
[5,6,8,7,2,1,3,4]=>[5,6,8,7,2,1,3,4]=>{{1,5},{2,6},{3,8},{4,7}}=>{{1,6},{2,5},{3,7},{4,8}}
[8,5,7,6,4,2,1,3]=>[5,8,7,6,4,2,3,1]=>{{1,5},{2,8},{3,7},{4,6}}=>{{1,7},{2,6},{3,5},{4,8}}
[5,8,7,6,3,2,1,4]=>[5,8,7,6,3,2,1,4]=>{{1,5},{2,8},{3,7},{4,6}}=>{{1,7},{2,6},{3,5},{4,8}}
[4,8,6,2,7,3,1,5]=>[4,8,6,2,7,3,1,5]=>{{1,4},{2,8},{3,6},{5,7}}=>{{1,7},{2,4},{3,6},{5,8}}
[3,6,1,8,7,4,2,5]=>[3,8,6,4,1,7,2,5]=>{{1,3,6,7},{2,8},{4},{5}}=>{{1,7},{2,3,6,8},{4},{5}}
[6,8,4,2,7,5,1,3]=>[6,8,4,2,7,5,1,3]=>{{1,6},{2,8},{3,4},{5,7}}=>{{1,7},{2,4},{3,8},{5,6}}
[8,6,4,3,7,5,1,2]=>[6,8,4,1,7,5,3,2]=>{{1,6},{2,8},{3,4},{5,7}}=>{{1,7},{2,4},{3,8},{5,6}}
[7,6,5,8,1,4,3,2]=>[7,6,5,8,1,4,3,2]=>{{1,7},{2,6},{3,5},{4,8}}=>{{1,5},{2,8},{3,7},{4,6}}
[7,6,4,3,8,1,5,2]=>[7,4,8,1,6,5,3,2]=>{{1,7},{2,4},{3,8},{5,6}}=>{{1,6},{2,8},{3,4},{5,7}}
[2,1,7,6,8,3,5,4]=>[7,2,6,1,5,3,8,4]=>{{1,7,8},{2},{3,6},{4},{5}}=>{{1,2,8},{3,6},{4},{5},{7}}
[6,5,7,8,1,2,4,3]=>[6,5,7,8,1,2,4,3]=>{{1,6},{2,5},{3,7},{4,8}}=>{{1,5},{2,6},{3,8},{4,7}}
[1,6,2,5,4,7,3,8]=>[1,6,2,5,4,7,3,8]=>{{1},{2,6,7},{3},{4,5},{8}}=>{{1},{2,3,7},{4,5},{6},{8}}
[6,2,7,5,4,8,3,1]=>[6,5,4,7,2,1,8,3]=>{{1,6},{2,5},{3,4,7,8}}=>{{1,2,5,6},{3,8},{4,7}}
[8,1,3,4,5,6,7,2]=>[8,1,3,4,5,6,7,2]=>{{1,8},{2},{3},{4},{5},{6},{7}}=>{{1,8},{2},{3},{4},{5},{6},{7}}
[1,7,2,4,5,6,3,8]=>[1,7,2,4,5,6,3,8]=>{{1},{2,7},{3},{4},{5},{6},{8}}=>{{1},{2,7},{3},{4},{5},{6},{8}}
[6,3,2,7,5,1,8,4]=>[6,3,7,5,2,8,4,1]=>{{1,6,8},{2,3,7},{4,5}}=>{{1,3,8},{2,6,7},{4,5}}
[1,2,6,3,5,4,7,8]=>[1,2,6,3,5,4,7,8]=>{{1},{2},{3,6},{4},{5},{7},{8}}=>{{1},{2},{3,6},{4},{5},{7},{8}}
[3,1,8,6,4,2,7,5]=>[3,1,8,6,4,2,7,5]=>{{1,3,8},{2},{4,6},{5},{7}}=>{{1,6,8},{2},{3,5},{4},{7}}
[8,6,1,3,7,2,4,5]=>[1,6,8,3,4,7,5,2]=>{{1},{2,6,7},{3,8},{4},{5}}=>{{1,6},{2,3,7},{4},{5},{8}}
[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>{{1,9},{2,8},{3,7},{4,6},{5}}=>{{1,9},{2,8},{3,7},{4,6},{5}}
[8,9,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1,9]=>{{1,8},{2,7},{3,6},{4,5},{9}}=>{{1},{2,9},{3,8},{4,7},{5,6}}
[8,7,9,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,9,1]=>{{1,8,9},{2,7},{3,6},{4,5}}=>{{1,2,9},{3,8},{4,7},{5,6}}
[9,10,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1,10]=>{{1,9},{2,8},{3,7},{4,6},{5},{10}}=>{{1},{2,10},{3,9},{4,8},{5,7},{6}}
[7,8,9,6,5,4,3,2,1]=>[7,6,5,4,3,2,1,8,9]=>{{1,7},{2,6},{3,5},{4},{8},{9}}=>{{1},{2},{3,9},{4,8},{5,7},{6}}
[9,8,10,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,10,1]=>{{1,9,10},{2,8},{3,7},{4,6},{5}}=>{{1,2,10},{3,9},{4,8},{5,7},{6}}
[1,7,3,2,8,6,4,5]=>[1,7,3,2,8,6,4,5]=>{{1},{2,7},{3},{4},{5,8},{6}}=>{{1,4},{2,7},{3},{5},{6},{8}}
[7,2,3,1,8,5,6,4]=>[7,2,3,1,8,5,6,4]=>{{1,7},{2},{3},{4},{5,8},{6}}=>{{1,4},{2,8},{3},{5},{6},{7}}
[6,2,8,3,5,1,7,4]=>[6,2,8,3,5,1,7,4]=>{{1,6},{2},{3,8},{4},{5},{7}}=>{{1,6},{2},{3,8},{4},{5},{7}}
[6,2,4,8,5,7,1,3]=>[6,8,2,4,1,5,7,3]=>{{1,6},{2,8},{3},{4},{5},{7}}=>{{1,7},{2},{3,8},{4},{5},{6}}
[6,2,1,3,7,8,4,5]=>[6,7,2,3,4,8,5,1]=>{{1,6,8},{2,7},{3},{4},{5}}=>{{1,3,8},{2,7},{4},{5},{6}}
[1,7,5,3,4,6,8,2]=>[7,1,3,5,6,4,2,8]=>{{1,7},{2},{3},{4,5,6},{8}}=>{{1},{2,8},{3,4,5},{6},{7}}
[8,2,7,4,1,3,5,6]=>[2,4,5,8,7,1,6,3]=>{{1,2,4,8},{3,5,7},{6}}=>{{1,5,7,8},{2,4,6},{3}}
[1,4,6,2,8,3,7,5]=>[8,4,6,1,7,2,3,5]=>{{1,8},{2,4},{3,6},{5,7}}=>{{1,8},{2,4},{3,6},{5,7}}
[6,3,4,1,2,5,8,7]=>[3,1,4,6,8,5,7,2]=>{{1,3,4,6},{2},{5,8},{7}}=>{{1,4},{2},{3,5,6,8},{7}}
[1,4,7,6,2,8,3,5]=>[4,7,1,8,6,2,3,5]=>{{1,4,8},{2,7},{3},{5,6}}=>{{1,5,8},{2,7},{3,4},{6}}
[4,1,5,8,2,7,3,6]=>[1,8,4,5,2,3,7,6]=>{{1},{2,8},{3,4,5},{6},{7}}=>{{1,7},{2},{3},{4,5,6},{8}}
[1,4,6,2,8,7,3,5]=>[4,8,6,1,7,2,3,5]=>{{1,4},{2,8},{3,6},{5,7}}=>{{1,7},{2,4},{3,6},{5,8}}
[1,4,2,8,6,7,3,5]=>[4,8,1,6,2,7,3,5]=>{{1,4,6,7},{2,8},{3},{5}}=>{{1,7},{2,3,5,8},{4},{6}}
[3,1,2,6,4,8,7,5]=>[8,3,1,6,2,4,7,5]=>{{1,8},{2,3},{4,6},{5},{7}}=>{{1,8},{2},{3,5},{4},{6,7}}
[1,2,3,6,8,5,7,4]=>[6,5,8,1,2,3,4,7]=>{{1,6},{2,5},{3,8},{4},{7}}=>{{1,6},{2},{3,8},{4,7},{5}}
[3,1,2,8,4,6,7,5]=>[8,1,3,4,2,6,7,5]=>{{1,8},{2},{3},{4},{5},{6},{7}}=>{{1,8},{2},{3},{4},{5},{6},{7}}
[5,3,7,1,8,2,4,6]=>[1,5,7,3,8,4,6,2]=>{{1},{2,5,8},{3,7},{4},{6}}=>{{1,4,7},{2,6},{3},{5},{8}}
[1,2,3,7,8,5,6,4]=>[7,5,8,1,2,3,4,6]=>{{1,7},{2,5},{3,8},{4},{6}}=>{{1,6},{2,8},{3},{4,7},{5}}
[10,1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,10,9]=>{{1},{2},{3},{4},{5},{6},{7},{8},{9,10}}=>{{1,2},{3},{4},{5},{6},{7},{8},{9},{10}}
[11,1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,11,10]=>{{1},{2},{3},{4},{5},{6},{7},{8},{9},{10,11}}=>{{1,2},{3},{4},{5},{6},{7},{8},{9},{10},{11}}
[10,1,2,3,4,5,6,7,8,11,9]=>[10,1,2,3,4,5,6,7,8,11,9]=>{{1,10,11},{2},{3},{4},{5},{6},{7},{8},{9}}=>{{1,2,11},{3},{4},{5},{6},{7},{8},{9},{10}}
[8,1,2,3,4,5,6,9,10,7]=>[8,1,2,3,4,5,6,9,10,7]=>{{1,8,9,10},{2},{3},{4},{5},{6},{7}}=>{{1,2,3,10},{4},{5},{6},{7},{8},{9}}
[4,7,8,5,6,2,1,3]=>[7,8,4,2,5,1,3,6]=>{{1,7},{2,8},{3,4},{5},{6}}=>{{1,7},{2,8},{3},{4},{5,6}}
[4,7,8,3,2,1,5,6]=>[4,7,8,3,2,1,5,6]=>{{1,4},{2,7},{3,8},{5},{6}}=>{{1,6},{2,7},{3},{4},{5,8}}
[5,7,8,3,2,1,4,6]=>[5,7,8,3,2,1,4,6]=>{{1,5},{2,7},{3,8},{4},{6}}=>{{1,6},{2,7},{3},{4,8},{5}}
[3,6,4,8,2,5,1,7]=>[3,6,4,8,2,5,1,7]=>{{1,3,4,8},{2,6},{5},{7}}=>{{1,5,6,8},{2},{3,7},{4}}
[3,6,4,7,2,5,1,8]=>[3,6,4,7,2,5,1,8]=>{{1,3,4,7},{2,6},{5},{8}}=>{{1},{2,5,6,8},{3,7},{4}}
[5,6,3,7,2,1,4,8]=>[5,6,7,3,2,4,1,8]=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1},{2,6},{3,7},{4,8},{5}}
[3,5,4,2,8,6,1,7]=>[3,5,4,2,8,6,1,7]=>{{1,3,4},{2,5,8},{6},{7}}=>{{1,4,7},{2},{3},{5,6,8}}
[8,4,3,2,1,7,6,5]=>[4,3,2,8,7,6,5,1]=>{{1,4,8},{2,3},{5,7},{6}}=>{{1,5,8},{2,4},{3},{6,7}}
[2,6,5,7,8,3,4,1]=>[6,5,7,2,3,4,1,8]=>{{1,6},{2,5},{3,7},{4},{8}}=>{{1},{2,6},{3,8},{4,7},{5}}
[2,6,4,7,3,8,5,1]=>[6,4,2,7,3,5,1,8]=>{{1,6},{2,4,7},{3},{5},{8}}=>{{1},{2,5,7},{3,8},{4},{6}}
[3,2,6,4,8,5,1,7]=>[3,4,2,1,6,5,8,7]=>{{1,3},{2,4},{5,6},{7,8}}=>{{1,2},{3,4},{5,7},{6,8}}
[3,5,2,4,1,7,6,8]=>[3,5,2,7,4,8,1,6]=>{{1,3},{2,5},{4,7},{6,8}}=>{{1,3},{2,5},{4,7},{6,8}}
[4,2,5,8,3,1,6,7]=>[4,5,6,2,1,3,8,7]=>{{1,4},{2,5},{3,6},{7,8}}=>{{1,2},{3,6},{4,7},{5,8}}
[3,1,5,4,2,8,6,7]=>[3,5,1,6,4,2,8,7]=>{{1,3},{2,5},{4,6},{7,8}}=>{{1,2},{3,5},{4,7},{6,8}}
[4,1,5,8,3,2,6,7]=>[4,5,6,3,1,2,8,7]=>{{1,4},{2,5},{3,6},{7,8}}=>{{1,2},{3,6},{4,7},{5,8}}
[4,3,8,5,2,1,6,7]=>[4,5,6,3,2,1,8,7]=>{{1,4},{2,5},{3,6},{7,8}}=>{{1,2},{3,6},{4,7},{5,8}}
[4,7,3,5,2,1,6,8]=>[4,5,7,3,2,8,1,6]=>{{1,4},{2,5},{3,7},{6,8}}=>{{1,3},{2,6},{4,7},{5,8}}
[4,3,2,7,5,1,6,8]=>[4,5,7,3,2,8,6,1]=>{{1,4},{2,5},{3,7},{6,8}}=>{{1,3},{2,6},{4,7},{5,8}}
[4,3,6,2,5,1,7,8]=>[4,6,7,3,8,2,5,1]=>{{1,4},{2,6},{3,7},{5,8}}=>{{1,4},{2,6},{3,7},{5,8}}
[4,6,3,2,5,1,7,8]=>[4,6,7,3,8,2,1,5]=>{{1,4},{2,6},{3,7},{5,8}}=>{{1,4},{2,6},{3,7},{5,8}}
[4,5,1,7,3,2,6,8]=>[4,5,7,3,1,8,2,6]=>{{1,4},{2,5},{3,7},{6,8}}=>{{1,3},{2,6},{4,7},{5,8}}
[5,2,1,4,3,7,8,6]=>[2,1,5,7,4,8,6,3]=>{{1,2},{3,5},{4,7},{6,8}}=>{{1,3},{2,5},{4,6},{7,8}}
[4,3,1,5,7,2,6,8]=>[4,5,7,1,3,8,6,2]=>{{1,4},{2,5},{3,7},{6,8}}=>{{1,3},{2,6},{4,7},{5,8}}
[4,3,6,1,5,2,7,8]=>[4,6,7,3,8,1,5,2]=>{{1,4},{2,6},{3,7},{5,8}}=>{{1,4},{2,6},{3,7},{5,8}}
[4,6,3,1,5,2,7,8]=>[4,6,7,3,8,5,1,2]=>{{1,4},{2,6},{3,7},{5,8}}=>{{1,4},{2,6},{3,7},{5,8}}
[5,3,6,4,1,2,7,8]=>[5,6,7,8,3,1,4,2]=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,5},{2,6},{3,7},{4,8}}
[4,3,6,1,7,2,5,8]=>[4,6,7,1,8,3,5,2]=>{{1,4},{2,6},{3,7},{5,8}}=>{{1,4},{2,6},{3,7},{5,8}}
[6,2,4,1,3,7,8,5]=>[2,1,6,7,8,4,5,3]=>{{1,2},{3,6},{4,7},{5,8}}=>{{1,4},{2,5},{3,6},{7,8}}
[3,6,4,1,2,7,5,8]=>[3,6,1,7,8,4,2,5]=>{{1,3},{2,6},{4,7},{5,8}}=>{{1,4},{2,5},{3,7},{6,8}}
[4,6,3,1,7,2,5,8]=>[4,6,7,1,8,3,2,5]=>{{1,4},{2,6},{3,7},{5,8}}=>{{1,4},{2,6},{3,7},{5,8}}
[5,6,2,7,1,3,4,8]=>[5,6,7,8,2,3,1,4]=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,5},{2,6},{3,7},{4,8}}
[4,5,2,7,3,1,6,8]=>[4,5,7,2,1,8,3,6]=>{{1,4},{2,5},{3,7},{6,8}}=>{{1,3},{2,6},{4,7},{5,8}}
[4,6,2,1,7,3,5,8]=>[4,6,7,2,8,3,1,5]=>{{1,4},{2,6},{3,7},{5,8}}=>{{1,4},{2,6},{3,7},{5,8}}
[3,2,6,1,4,7,5,8]=>[3,6,2,7,8,4,5,1]=>{{1,3},{2,6},{4,7},{5,8}}=>{{1,4},{2,5},{3,7},{6,8}}
[3,5,2,7,4,6,1,8]=>[3,5,2,7,1,8,4,6]=>{{1,3},{2,5},{4,7},{6,8}}=>{{1,3},{2,5},{4,7},{6,8}}
[3,7,2,4,8,5,1,6]=>[3,4,2,1,7,8,5,6]=>{{1,3},{2,4},{5,7},{6,8}}=>{{1,3},{2,4},{5,7},{6,8}}
[7,3,1,4,6,8,2,5]=>[3,4,1,2,7,8,6,5]=>{{1,3},{2,4},{5,7},{6,8}}=>{{1,3},{2,4},{5,7},{6,8}}
[3,2,6,1,5,7,4,8]=>[3,6,2,7,8,1,5,4]=>{{1,3},{2,6},{4,7},{5,8}}=>{{1,4},{2,5},{3,7},{6,8}}
[6,3,2,1,5,7,4,8]=>[3,6,2,7,8,5,4,1]=>{{1,3},{2,6},{4,7},{5,8}}=>{{1,4},{2,5},{3,7},{6,8}}
[6,4,2,1,5,3,7,8]=>[4,6,7,2,8,5,3,1]=>{{1,4},{2,6},{3,7},{5,8}}=>{{1,4},{2,6},{3,7},{5,8}}
[4,2,6,1,5,3,7,8]=>[4,6,7,2,8,1,5,3]=>{{1,4},{2,6},{3,7},{5,8}}=>{{1,4},{2,6},{3,7},{5,8}}
[4,2,1,7,5,3,6,8]=>[4,5,7,2,1,8,6,3]=>{{1,4},{2,5},{3,7},{6,8}}=>{{1,3},{2,6},{4,7},{5,8}}
[7,4,1,5,6,2,3,8]=>[4,5,7,1,2,8,6,3]=>{{1,4},{2,5},{3,7},{6,8}}=>{{1,3},{2,6},{4,7},{5,8}}
[7,3,1,5,2,6,4,8]=>[3,5,1,7,2,8,6,4]=>{{1,3},{2,5},{4,7},{6,8}}=>{{1,3},{2,5},{4,7},{6,8}}
[6,3,5,1,2,7,4,8]=>[3,6,1,7,8,2,5,4]=>{{1,3},{2,6},{4,7},{5,8}}=>{{1,4},{2,5},{3,7},{6,8}}
[5,2,6,4,1,3,7,8]=>[5,6,7,8,2,1,4,3]=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,5},{2,6},{3,7},{4,8}}
[4,6,5,1,7,2,3,8]=>[4,6,7,1,8,5,2,3]=>{{1,4},{2,6},{3,7},{5,8}}=>{{1,4},{2,6},{3,7},{5,8}}
[3,6,5,1,2,7,4,8]=>[3,6,1,7,8,5,2,4]=>{{1,3},{2,6},{4,7},{5,8}}=>{{1,4},{2,5},{3,7},{6,8}}
[6,5,2,1,4,7,8,3]=>[2,1,6,7,8,5,4,3]=>{{1,2},{3,6},{4,7},{5,8}}=>{{1,4},{2,5},{3,6},{7,8}}
[6,5,3,1,4,7,2,8]=>[3,6,1,7,8,5,4,2]=>{{1,3},{2,6},{4,7},{5,8}}=>{{1,4},{2,5},{3,7},{6,8}}
[2,3,1,8,5,4,7,6]=>[2,1,8,5,3,7,4,6]=>{{1,2},{3,8},{4,5},{6,7}}=>{{1,6},{2,3},{4,5},{7,8}}
[3,4,5,1,8,2,7,6]=>[8,3,4,1,7,2,5,6]=>{{1,8},{2,3,4},{5,7},{6}}=>{{1,8},{2,4},{3},{5,6,7}}
[3,4,5,8,2,1,7,6]=>[3,2,8,7,1,4,5,6]=>{{1,3,8},{2},{4,7},{5},{6}}=>{{1,6,8},{2,5},{3},{4},{7}}
[3,4,5,2,8,1,7,6]=>[3,2,8,1,7,4,5,6]=>{{1,3,8},{2},{4},{5,7},{6}}=>{{1,6,8},{2,4},{3},{5},{7}}
[2,4,8,6,3,7,1,5]=>[4,8,2,6,3,1,5,7]=>{{1,4,6},{2,8},{3},{5},{7}}=>{{1,7},{2},{3,5,8},{4},{6}}
[2,5,8,6,7,3,4,1]=>[8,5,6,2,3,1,4,7]=>{{1,8},{2,5},{3,6},{4},{7}}=>{{1,8},{2},{3,6},{4,7},{5}}
[2,5,8,6,7,3,1,4]=>[5,8,6,2,3,1,4,7]=>{{1,5},{2,8},{3,6},{4},{7}}=>{{1,7},{2},{3,6},{4,8},{5}}
[2,4,1,6,8,7,3,5]=>[2,8,4,1,3,6,5,7]=>{{1,2,8},{3,4},{5},{6},{7}}=>{{1,7,8},{2},{3},{4},{5,6}}
[2,5,1,6,7,4,3,8]=>[2,5,4,1,6,7,3,8]=>{{1,2,5,6,7},{3,4},{8}}=>{{1},{2,3,4,7,8},{5,6}}
[2,4,8,6,1,7,5,3]=>[8,2,1,6,4,3,5,7]=>{{1,8},{2},{3},{4,6},{5},{7}}=>{{1,8},{2},{3,5},{4},{6},{7}}
[1,8,4,6,2,7,5,3]=>[8,4,1,6,2,5,3,7]=>{{1,8},{2,4,6},{3},{5},{7}}=>{{1,8},{2},{3,5,7},{4},{6}}
[1,8,5,6,7,2,4,3]=>[8,5,6,1,2,4,3,7]=>{{1,8},{2,5},{3,6},{4},{7}}=>{{1,8},{2},{3,6},{4,7},{5}}
[8,2,5,3,7,1,6,4]=>[5,2,8,1,7,3,6,4]=>{{1,5,7},{2},{3,8},{4},{6}}=>{{1,6},{2,4,8},{3},{5},{7}}
[8,2,4,3,7,1,6,5]=>[4,2,8,1,7,3,6,5]=>{{1,4},{2},{3,8},{5,7},{6}}=>{{1,6},{2,4},{3},{5,8},{7}}
[5,8,2,4,3,7,1,6]=>[5,8,2,4,3,7,1,6]=>{{1,5},{2,8},{3},{4},{6,7}}=>{{1,7},{2,3},{4,8},{5},{6}}
[4,2,5,6,1,7,3,8]=>[4,5,2,6,3,7,8,1]=>{{1,4,6,7,8},{2,5},{3}}=>{{1,2,3,5,8},{4,7},{6}}
[3,7,1,5,6,8,2,4]=>[3,7,1,5,6,8,2,4]=>{{1,3},{2,7},{4,5,6,8}}=>{{1,3,4,5},{2,7},{6,8}}
[3,2,5,1,8,4,6,7]=>[3,5,6,2,8,4,7,1]=>{{1,3,6},{2,5,8},{4},{7}}=>{{1,4,7},{2},{3,6,8},{5}}
[6,1,5,8,7,3,2,4]=>[6,8,5,3,1,2,7,4]=>{{1,6},{2,8},{3,5},{4},{7}}=>{{1,7},{2},{3,8},{4,6},{5}}
[3,2,5,1,6,4,7,8]=>[3,5,6,2,7,4,8,1]=>{{1,3,6},{2,5,7,8},{4}}=>{{1,2,4,7},{3,6,8},{5}}
[3,2,5,1,6,8,7,4]=>[3,2,1,5,8,6,7,4]=>{{1,3},{2},{4,5,8},{6},{7}}=>{{1,4,5},{2},{3},{6,8},{7}}
[3,7,6,5,1,8,4,2]=>[7,3,1,6,5,4,2,8]=>{{1,7},{2,3},{4,6},{5},{8}}=>{{1},{2,8},{3,5},{4},{6,7}}
[3,2,4,1,8,5,7,6]=>[3,2,4,1,8,5,7,6]=>{{1,3,4},{2},{5,8},{6},{7}}=>{{1,4},{2},{3},{5,6,8},{7}}
[3,2,5,1,8,4,7,6]=>[3,2,5,1,8,4,7,6]=>{{1,3,5,8},{2},{4},{6},{7}}=>{{1,4,6,8},{2},{3},{5},{7}}
[8,4,2,3,7,5,1,6]=>[2,8,4,3,5,7,6,1]=>{{1,2,8},{3,4},{5},{6,7}}=>{{1,7,8},{2,3},{4},{5,6}}
[4,2,6,1,8,3,7,5]=>[4,2,6,1,8,3,7,5]=>{{1,4},{2},{3,6},{5,8},{7}}=>{{1,4},{2},{3,6},{5,8},{7}}
[5,2,6,1,8,3,7,4]=>[5,2,6,1,8,3,7,4]=>{{1,5,8},{2},{3,6},{4},{7}}=>{{1,4,8},{2},{3,6},{5},{7}}
[8,4,6,1,7,3,5,2]=>[8,4,6,1,7,3,5,2]=>{{1,8},{2,4},{3,6},{5,7}}=>{{1,8},{2,4},{3,6},{5,7}}
[5,2,6,1,8,4,7,3]=>[5,2,6,1,8,4,7,3]=>{{1,5,8},{2},{3,6},{4},{7}}=>{{1,4,8},{2},{3,6},{5},{7}}
[3,2,5,1,7,6,4,8]=>[3,5,2,1,7,6,8,4]=>{{1,3},{2,5,7,8},{4},{6}}=>{{1,2,4,7},{3},{5},{6,8}}
[8,6,1,5,7,3,2,4]=>[6,8,7,1,3,5,4,2]=>{{1,6},{2,8},{3,7},{4},{5}}=>{{1,7},{2,6},{3,8},{4},{5}}
[4,2,6,1,8,5,7,3]=>[4,2,6,1,8,5,7,3]=>{{1,4},{2},{3,6},{5,8},{7}}=>{{1,4},{2},{3,6},{5,8},{7}}
[8,5,6,1,7,3,4,2]=>[8,5,6,1,7,3,4,2]=>{{1,8},{2,5,7},{3,6},{4}}=>{{1,8},{2,4,7},{3,6},{5}}
[3,6,8,5,1,7,4,2]=>[6,5,3,8,4,1,2,7]=>{{1,6},{2,5},{3},{4,8},{7}}=>{{1,5},{2},{3,8},{4,7},{6}}
[3,2,5,1,8,6,7,4]=>[3,2,5,1,8,6,7,4]=>{{1,3,5,8},{2},{4},{6},{7}}=>{{1,4,6,8},{2},{3},{5},{7}}
[3,2,5,1,7,8,6,4]=>[3,2,1,5,7,6,8,4]=>{{1,3},{2},{4,5,7,8},{6}}=>{{1,2,4,5},{3},{6,8},{7}}
[4,2,6,1,7,5,3,8]=>[4,6,2,1,7,5,8,3]=>{{1,4},{2,6},{3},{5,7,8}}=>{{1,2,4},{3,7},{5,8},{6}}
[5,4,7,3,6,1,8,2]=>[5,4,7,6,8,1,3,2]=>{{1,5,8},{2,4,6},{3,7}}=>{{1,4,8},{2,6},{3,5,7}}
[3,2,5,8,1,6,7,4]=>[3,2,5,8,1,6,7,4]=>{{1,3,5},{2},{4,8},{6},{7}}=>{{1,5},{2},{3},{4,6,8},{7}}
[5,2,8,4,1,6,7,3]=>[5,2,4,8,6,1,7,3]=>{{1,5,6},{2},{3,4,8},{7}}=>{{1,5,6},{2},{3,4,8},{7}}
[4,6,2,1,8,5,7,3]=>[4,2,6,1,8,5,3,7]=>{{1,4},{2},{3,6},{5,8},{7}}=>{{1,4},{2},{3,6},{5,8},{7}}
[2,6,4,1,8,5,3,7]=>[2,6,4,1,8,5,3,7]=>{{1,2,6},{3,4},{5,8},{7}}=>{{1,4},{2},{3,7,8},{5,6}}
[3,5,2,8,1,6,4,7]=>[3,5,2,8,1,6,4,7]=>{{1,3},{2,5},{4,8},{6},{7}}=>{{1,5},{2},{3},{4,7},{6,8}}
[3,2,7,1,5,8,6,4]=>[3,2,1,7,8,5,6,4]=>{{1,3},{2},{4,7},{5,8},{6}}=>{{1,4},{2,5},{3},{6,8},{7}}
[3,2,5,7,1,6,8,4]=>[3,2,5,7,1,6,8,4]=>{{1,3,5},{2},{4,7,8},{6}}=>{{1,2,5},{3},{4,6,8},{7}}
[6,3,2,7,1,5,4,8]=>[6,7,3,8,2,5,4,1]=>{{1,6},{2,7},{3},{4,8},{5}}=>{{1,5},{2,7},{3,8},{4},{6}}
[4,6,2,1,8,3,7,5]=>[4,2,6,1,8,7,3,5]=>{{1,4},{2},{3,6,7},{5,8}}=>{{1,4},{2,3,6},{5,8},{7}}
[2,4,1,7,3,8,6,5]=>[7,2,1,4,3,6,5,8]=>{{1,7},{2},{3},{4},{5},{6},{8}}=>{{1},{2,8},{3},{4},{5},{6},{7}}
[3,5,8,2,1,7,4,6]=>[3,5,2,8,7,1,4,6]=>{{1,3},{2,5,7},{4,8},{6}}=>{{1,5},{2,4,7},{3},{6,8}}
[3,5,2,8,1,7,4,6]=>[3,5,2,8,1,7,4,6]=>{{1,3},{2,5},{4,8},{6,7}}=>{{1,5},{2,3},{4,7},{6,8}}
[1,9,8,7,6,5,4,3,2]=>[9,8,7,6,5,4,3,1,2]=>{{1,9},{2,8},{3,7},{4,6},{5}}=>{{1,9},{2,8},{3,7},{4,6},{5}}
[1,10,9,8,7,6,5,4,3,2]=>[10,9,8,7,6,5,4,3,1,2]=>{{1,10},{2,9},{3,8},{4,7},{5,6}}=>{{1,10},{2,9},{3,8},{4,7},{5,6}}
[6,2,3,1,5,4,8,7]=>[2,1,6,3,8,5,7,4]=>{{1,2},{3,6},{4},{5,8},{7}}=>{{1,4},{2},{3,6},{5},{7,8}}
[8,4,5,2,3,1,7,6]=>[4,2,8,5,7,3,6,1]=>{{1,4,5,7},{2},{3,8},{6}}=>{{1,6},{2,4,5,8},{3},{7}}
[8,3,5,2,4,1,7,6]=>[3,2,8,5,7,4,6,1]=>{{1,3,8},{2},{4,5,7},{6}}=>{{1,6,8},{2,4,5},{3},{7}}
[8,3,5,1,4,2,7,6]=>[3,1,8,5,7,4,6,2]=>{{1,3,8},{2},{4,5,7},{6}}=>{{1,6,8},{2,4,5},{3},{7}}
[8,4,5,1,3,2,7,6]=>[4,1,8,5,7,3,6,2]=>{{1,4,5,7},{2},{3,8},{6}}=>{{1,6},{2,4,5,8},{3},{7}}
[2,1,8,4,5,3,7,6]=>[2,1,8,4,5,3,7,6]=>{{1,2},{3,8},{4},{5},{6},{7}}=>{{1,6},{2},{3},{4},{5},{7,8}}
[8,6,7,4,5,1,3,2]=>[8,6,7,4,5,1,3,2]=>{{1,8},{2,6},{3,7},{4},{5}}=>{{1,8},{2,6},{3,7},{4},{5}}
[8,6,7,3,5,1,4,2]=>[8,6,7,3,5,1,4,2]=>{{1,8},{2,6},{3,7},{4},{5}}=>{{1,8},{2,6},{3,7},{4},{5}}
[8,5,7,3,6,1,4,2]=>[8,5,7,3,6,1,4,2]=>{{1,8},{2,5,6},{3,7},{4}}=>{{1,8},{2,6},{3,4,7},{5}}
[8,3,7,4,6,2,5,1]=>[8,3,7,2,6,4,5,1]=>{{1,8},{2,3,7},{4},{5,6}}=>{{1,8},{2,6,7},{3,4},{5}}
[8,3,7,4,6,1,5,2]=>[8,3,7,1,6,4,5,2]=>{{1,8},{2,3,7},{4},{5,6}}=>{{1,8},{2,6,7},{3,4},{5}}
[8,3,7,1,6,4,5,2]=>[8,3,7,4,6,1,5,2]=>{{1,8},{2,3,7},{4},{5,6}}=>{{1,8},{2,6,7},{3,4},{5}}
[8,1,7,3,6,4,5,2]=>[8,1,7,3,6,4,5,2]=>{{1,8},{2},{3,7},{4},{5,6}}=>{{1,8},{2,6},{3,4},{5},{7}}
[8,1,7,5,6,3,4,2]=>[8,5,7,1,6,3,4,2]=>{{1,8},{2,5,6},{3,7},{4}}=>{{1,8},{2,6},{3,4,7},{5}}
[8,1,7,3,4,2,6,5]=>[3,1,8,2,7,4,6,5]=>{{1,3,8},{2},{4},{5,7},{6}}=>{{1,6,8},{2,4},{3},{5},{7}}
[8,1,7,3,6,2,5,4]=>[8,3,7,1,6,2,5,4]=>{{1,8},{2,3,7},{4},{5,6}}=>{{1,8},{2,6,7},{3,4},{5}}
[8,3,7,1,6,2,5,4]=>[8,1,7,3,6,2,5,4]=>{{1,8},{2},{3,7},{4},{5,6}}=>{{1,8},{2,6},{3,4},{5},{7}}
[8,3,7,2,6,4,5,1]=>[8,3,7,4,6,2,5,1]=>{{1,8},{2,3,7},{4},{5,6}}=>{{1,8},{2,6,7},{3,4},{5}}
[8,2,7,3,6,4,5,1]=>[8,2,7,3,6,4,5,1]=>{{1,8},{2},{3,7},{4},{5,6}}=>{{1,8},{2,6},{3,4},{5},{7}}
[8,2,7,3,6,1,5,4]=>[8,2,7,1,6,3,5,4]=>{{1,8},{2},{3,7},{4},{5,6}}=>{{1,8},{2,6},{3,4},{5},{7}}
[8,2,7,1,6,3,5,4]=>[8,2,7,3,6,1,5,4]=>{{1,8},{2},{3,7},{4},{5,6}}=>{{1,8},{2,6},{3,4},{5},{7}}
[8,1,3,2,7,4,6,5]=>[8,1,3,2,7,4,6,5]=>{{1,8},{2},{3},{4},{5,7},{6}}=>{{1,8},{2,4},{3},{5},{6},{7}}
[2,1,8,3,7,4,6,5]=>[8,2,7,3,4,1,6,5]=>{{1,8},{2},{3,7},{4},{5},{6}}=>{{1,8},{2,6},{3},{4},{5},{7}}
[8,1,5,2,4,3,7,6]=>[5,1,8,2,7,4,6,3]=>{{1,5,7},{2},{3,8},{4},{6}}=>{{1,6},{2,4,8},{3},{5},{7}}
[8,2,7,1,4,3,6,5]=>[2,1,8,4,7,3,6,5]=>{{1,2},{3,8},{4},{5,7},{6}}=>{{1,6},{2,4},{3},{5},{7,8}}
[8,2,7,3,4,1,6,5]=>[2,1,8,3,7,4,6,5]=>{{1,2},{3,8},{4},{5,7},{6}}=>{{1,6},{2,4},{3},{5},{7,8}}
[8,2,7,5,6,3,4,1]=>[8,5,7,2,6,3,4,1]=>{{1,8},{2,5,6},{3,7},{4}}=>{{1,8},{2,6},{3,4,7},{5}}
[8,2,3,1,7,4,6,5]=>[8,2,3,1,7,4,6,5]=>{{1,8},{2},{3},{4},{5,7},{6}}=>{{1,8},{2,4},{3},{5},{6},{7}}
[8,2,3,1,5,4,7,6]=>[2,1,5,3,8,4,7,6]=>{{1,2},{3,5,8},{4},{6},{7}}=>{{1,4,6},{2},{3},{5},{7,8}}
[4,2,3,1,8,5,7,6]=>[4,2,3,1,8,5,7,6]=>{{1,4},{2},{3},{5,8},{6},{7}}=>{{1,4},{2},{3},{5,8},{6},{7}}
[4,1,3,2,8,6,7,5]=>[4,1,3,2,8,6,7,5]=>{{1,4},{2},{3},{5,8},{6},{7}}=>{{1,4},{2},{3},{5,8},{6},{7}}
[8,6,7,2,3,1,5,4]=>[6,2,8,3,7,1,5,4]=>{{1,6},{2},{3,8},{4},{5,7}}=>{{1,6},{2,4},{3,8},{5},{7}}
[8,2,3,1,7,5,6,4]=>[8,2,3,1,7,5,6,4]=>{{1,8},{2},{3},{4},{5,7},{6}}=>{{1,8},{2,4},{3},{5},{6},{7}}
[8,5,7,2,6,3,4,1]=>[8,2,7,5,6,3,4,1]=>{{1,8},{2},{3,7},{4,5,6}}=>{{1,8},{2,6},{3,4,5},{7}}
[8,5,7,2,6,1,4,3]=>[8,5,7,2,6,1,4,3]=>{{1,8},{2,5,6},{3,7},{4}}=>{{1,8},{2,6},{3,4,7},{5}}
[8,6,7,2,5,1,4,3]=>[8,6,7,2,5,1,4,3]=>{{1,8},{2,6},{3,7},{4},{5}}=>{{1,8},{2,6},{3,7},{4},{5}}
[8,6,7,1,5,2,4,3]=>[8,1,6,5,7,2,4,3]=>{{1,8},{2},{3,6},{4,5,7}}=>{{1,8},{2,4,5},{3,6},{7}}
[2,1,8,6,7,3,5,4]=>[8,2,6,1,5,3,7,4]=>{{1,8},{2},{3,6},{4},{5},{7}}=>{{1,8},{2},{3,6},{4},{5},{7}}
[8,1,3,2,7,5,6,4]=>[8,1,3,2,7,5,6,4]=>{{1,8},{2},{3},{4},{5,7},{6}}=>{{1,8},{2,4},{3},{5},{6},{7}}
[8,1,7,5,6,2,4,3]=>[8,5,7,1,6,2,4,3]=>{{1,8},{2,5,6},{3,7},{4}}=>{{1,8},{2,6},{3,4,7},{5}}
[8,1,7,2,6,4,5,3]=>[8,1,7,2,6,4,5,3]=>{{1,8},{2},{3,7},{4},{5,6}}=>{{1,8},{2,6},{3,4},{5},{7}}
[8,2,7,1,6,4,5,3]=>[8,2,7,4,6,1,5,3]=>{{1,8},{2},{3,7},{4},{5,6}}=>{{1,8},{2,6},{3,4},{5},{7}}
[8,2,7,4,6,1,5,3]=>[8,2,7,1,6,4,5,3]=>{{1,8},{2},{3,7},{4},{5,6}}=>{{1,8},{2,6},{3,4},{5},{7}}
[8,2,7,4,6,3,5,1]=>[8,4,7,2,6,3,5,1]=>{{1,8},{2,4},{3,7},{5,6}}=>{{1,8},{2,6},{3,4},{5,7}}
[8,4,7,2,6,3,5,1]=>[8,2,7,4,6,3,5,1]=>{{1,8},{2},{3,7},{4},{5,6}}=>{{1,8},{2,6},{3,4},{5},{7}}
[8,4,7,2,6,1,5,3]=>[8,4,7,2,6,1,5,3]=>{{1,8},{2,4},{3,7},{5,6}}=>{{1,8},{2,6},{3,4},{5,7}}
[8,4,7,1,6,2,5,3]=>[8,1,7,4,6,2,5,3]=>{{1,8},{2},{3,7},{4},{5,6}}=>{{1,8},{2,6},{3,4},{5},{7}}
[8,1,7,4,6,2,5,3]=>[8,4,7,1,6,2,5,3]=>{{1,8},{2,4},{3,7},{5,6}}=>{{1,8},{2,6},{3,4},{5,7}}
[8,5,7,1,6,2,4,3]=>[8,1,7,5,6,2,4,3]=>{{1,8},{2},{3,7},{4,5,6}}=>{{1,8},{2,6},{3,4,5},{7}}
[2,1,8,5,7,3,6,4]=>[8,2,7,1,5,3,6,4]=>{{1,8},{2},{3,7},{4},{5},{6}}=>{{1,8},{2,6},{3},{4},{5},{7}}
[8,5,7,4,6,1,3,2]=>[8,5,7,4,6,1,3,2]=>{{1,8},{2,5,6},{3,7},{4}}=>{{1,8},{2,6},{3,4,7},{5}}
[8,5,7,1,6,3,4,2]=>[8,1,7,5,6,3,4,2]=>{{1,8},{2},{3,7},{4,5,6}}=>{{1,8},{2,6},{3,4,5},{7}}
[8,1,7,4,6,3,5,2]=>[8,4,7,1,6,3,5,2]=>{{1,8},{2,4},{3,7},{5,6}}=>{{1,8},{2,6},{3,4},{5,7}}
[8,4,7,1,6,3,5,2]=>[8,1,7,4,6,3,5,2]=>{{1,8},{2},{3,7},{4},{5,6}}=>{{1,8},{2,6},{3,4},{5},{7}}
[8,4,7,3,6,1,5,2]=>[8,4,7,3,6,1,5,2]=>{{1,8},{2,4},{3,7},{5,6}}=>{{1,8},{2,6},{3,4},{5,7}}
[1,7,2,8,4,6,5,3]=>[7,6,1,4,2,8,3,5]=>{{1,7},{2,6,8},{3},{4},{5}}=>{{1,3,7},{2,8},{4},{5},{6}}
[2,8,4,6,1,5,7,3]=>[8,2,4,6,1,5,3,7]=>{{1,8},{2},{3,4,6},{5},{7}}=>{{1,8},{2},{3,5,6},{4},{7}}
[6,3,7,8,4,1,5,2]=>[6,3,7,4,1,2,8,5]=>{{1,6},{2,3,7,8},{4},{5}}=>{{1,2,6,7},{3,8},{4},{5}}
[3,6,7,8,4,2,5,1]=>[6,3,7,2,1,4,5,8]=>{{1,6},{2,3,7},{4},{5},{8}}=>{{1},{2,6,7},{3,8},{4},{5}}
[7,6,1,8,4,2,5,3]=>[7,1,8,4,2,6,5,3]=>{{1,7},{2},{3,8},{4},{5},{6}}=>{{1,6},{2,8},{3},{4},{5},{7}}
[5,2,7,8,1,4,6,3]=>[5,2,7,8,1,4,6,3]=>{{1,5},{2},{3,7},{4,8},{6}}=>{{1,5},{2,6},{3},{4,8},{7}}
[1,2,7,8,5,4,6,3]=>[7,5,8,4,1,2,3,6]=>{{1,7},{2,5},{3,8},{4},{6}}=>{{1,6},{2,8},{3},{4,7},{5}}
[7,2,5,8,3,4,6,1]=>[7,2,5,8,3,4,6,1]=>{{1,7},{2},{3,5},{4,8},{6}}=>{{1,5},{2,8},{3},{4,6},{7}}
[7,3,5,8,2,4,6,1]=>[7,3,5,8,2,4,6,1]=>{{1,7},{2,3,5},{4,8},{6}}=>{{1,5},{2,8},{3},{4,6,7}}
[1,6,8,5,4,3,2,7]=>[6,8,5,4,3,1,2,7]=>{{1,6},{2,8},{3,5},{4},{7}}=>{{1,7},{2},{3,8},{4,6},{5}}
[7,5,8,6,3,4,2,1]=>[7,5,3,8,2,1,6,4]=>{{1,7},{2,5},{3},{4,8},{6}}=>{{1,5},{2,8},{3},{4,7},{6}}
[1,6,8,4,5,3,2,7]=>[1,6,4,3,8,2,5,7]=>{{1},{2,6},{3,4},{5,8},{7}}=>{{1,4},{2},{3,7},{5,6},{8}}
[7,1,3,8,4,6,5,2]=>[7,6,1,3,2,4,8,5]=>{{1,7,8},{2,6},{3},{4},{5}}=>{{1,2,8},{3,7},{4},{5},{6}}
[3,5,1,4,8,2,6,7]=>[3,5,6,1,4,8,2,7]=>{{1,3,6,8},{2,5},{4},{7}}=>{{1,3,6,8},{2},{4,7},{5}}
[1,5,2,8,4,3,6,7]=>[1,2,5,4,3,8,6,7]=>{{1},{2},{3,5},{4},{6,8},{7}}=>{{1,3},{2},{4,6},{5},{7},{8}}
[1,2,8,5,4,3,6,7]=>[1,2,8,5,4,3,6,7]=>{{1},{2},{3,8},{4,5},{6},{7}}=>{{1,6},{2},{3},{4,5},{7},{8}}
[1,2,5,4,3,8,6,7]=>[1,5,2,8,4,3,6,7]=>{{1},{2,5},{3},{4,8},{6},{7}}=>{{1,5},{2},{3},{4,7},{6},{8}}
[1,5,2,7,8,4,3,6]=>[5,7,4,1,2,8,3,6]=>{{1,5},{2,7},{3,4},{6,8}}=>{{1,3},{2,7},{4,8},{5,6}}
[5,1,2,7,4,8,3,6]=>[5,7,1,4,2,3,8,6]=>{{1,5},{2,7,8},{3},{4},{6}}=>{{1,2,7},{3},{4,8},{5},{6}}
[2,8,1,5,4,7,3,6]=>[2,8,1,5,4,7,3,6]=>{{1,2,8},{3},{4,5},{6,7}}=>{{1,7,8},{2,3},{4,5},{6}}
[3,6,4,8,1,7,2,5]=>[3,6,4,8,1,7,2,5]=>{{1,3,4,8},{2,6,7},{5}}=>{{1,5,6,8},{2,3,7},{4}}
[7,6,1,4,2,8,3,5]=>[1,7,2,8,4,6,5,3]=>{{1},{2,7},{3},{4,8},{5},{6}}=>{{1,5},{2,7},{3},{4},{6},{8}}
[1,6,7,2,8,4,3,5]=>[6,7,4,1,8,2,3,5]=>{{1,6},{2,7},{3,4},{5,8}}=>{{1,4},{2,7},{3,8},{5,6}}
[1,7,2,8,4,5,3,6]=>[1,7,2,4,3,8,5,6]=>{{1},{2,7},{3},{4},{5},{6,8}}=>{{1,3},{2,7},{4},{5},{6},{8}}
[1,4,2,7,8,5,3,6]=>[4,7,5,1,2,8,3,6]=>{{1,4},{2,7},{3,5},{6,8}}=>{{1,3},{2,7},{4,6},{5,8}}
[7,6,1,3,2,4,8,5]=>[7,1,3,8,4,6,5,2]=>{{1,7},{2},{3},{4,8},{5},{6}}=>{{1,5},{2,8},{3},{4},{6},{7}}
[2,8,1,7,3,5,4,6]=>[2,8,3,7,5,6,1,4]=>{{1,2,8},{3},{4,7},{5},{6}}=>{{1,7,8},{2,5},{3},{4},{6}}
[4,2,8,1,7,3,6,5]=>[8,2,4,3,7,1,6,5]=>{{1,8},{2},{3,4},{5,7},{6}}=>{{1,8},{2,4},{3},{5,6},{7}}
[2,8,1,7,4,3,6,5]=>[2,1,8,7,4,6,3,5]=>{{1,2},{3,8},{4,7},{5},{6}}=>{{1,6},{2,5},{3},{4},{7,8}}
[3,7,4,8,1,6,2,5]=>[3,7,4,8,1,6,2,5]=>{{1,3,4,8},{2,7},{5},{6}}=>{{1,5,6,8},{2,7},{3},{4}}
[7,8,3,4,1,5,2,6]=>[3,7,4,8,5,6,1,2]=>{{1,3,4,8},{2,7},{5},{6}}=>{{1,5,6,8},{2,7},{3},{4}}
[7,8,3,4,1,6,2,5]=>[3,7,1,8,4,6,2,5]=>{{1,3},{2,7},{4,8},{5},{6}}=>{{1,5},{2,7},{3},{4},{6,8}}
[6,8,3,4,1,5,2,7]=>[3,6,4,8,5,7,1,2]=>{{1,3,4,8},{2,6,7},{5}}=>{{1,5,6,8},{2,3,7},{4}}
[5,7,3,4,1,6,2,8]=>[3,5,4,7,6,8,1,2]=>{{1,3,4,7},{2,5,6,8}}=>{{1,3,4,7},{2,5,6,8}}
[4,6,2,8,3,5,1,7]=>[2,4,3,6,1,8,5,7]=>{{1,2,4,6,8},{3},{5},{7}}=>{{1,3,5,7,8},{2},{4},{6}}
[4,8,3,5,1,7,2,6]=>[4,5,1,8,3,7,2,6]=>{{1,4,8},{2,5},{3},{6,7}}=>{{1,5,8},{2,3},{4,7},{6}}
[4,7,3,5,1,8,2,6]=>[4,7,3,8,5,6,1,2]=>{{1,4,8},{2,7},{3},{5},{6}}=>{{1,5,8},{2,7},{3},{4},{6}}
[5,6,2,3,1,7,4,8]=>[5,6,2,7,3,8,1,4]=>{{1,5},{2,6,8},{3},{4,7}}=>{{1,3,7},{2,5},{4,8},{6}}
[5,6,2,4,1,8,3,7]=>[5,6,2,8,4,7,1,3]=>{{1,5},{2,6,7},{3},{4,8}}=>{{1,5},{2,3,7},{4,8},{6}}
[5,6,2,4,1,7,3,8]=>[5,6,2,7,4,8,1,3]=>{{1,5},{2,6,8},{3},{4,7}}=>{{1,3,7},{2,5},{4,8},{6}}
[4,6,2,5,1,8,3,7]=>[4,6,2,8,5,7,1,3]=>{{1,4,8},{2,6,7},{3},{5}}=>{{1,5,8},{2,3,7},{4},{6}}
[4,5,1,8,3,7,2,6]=>[4,8,3,5,1,7,2,6]=>{{1,4,5},{2,8},{3},{6,7}}=>{{1,7},{2,3},{4,5,8},{6}}
[5,6,2,7,3,8,1,4]=>[5,6,2,3,1,7,4,8]=>{{1,5},{2,6,7},{3},{4},{8}}=>{{1},{2,3,7},{4,8},{5},{6}}
[5,6,2,7,4,8,1,3]=>[5,6,2,4,1,7,3,8]=>{{1,5},{2,6,7},{3},{4},{8}}=>{{1},{2,3,7},{4,8},{5},{6}}
[5,6,2,8,4,7,1,3]=>[5,6,2,4,1,8,3,7]=>{{1,5},{2,6,8},{3},{4},{7}}=>{{1,3,7},{2},{4,8},{5},{6}}
[5,6,2,8,3,7,1,4]=>[5,8,2,6,1,7,3,4]=>{{1,5},{2,8},{3},{4,6,7}}=>{{1,7},{2,3,5},{4,8},{6}}
[4,6,2,8,3,7,1,5]=>[4,8,2,6,1,7,3,5]=>{{1,4,6,7},{2,8},{3},{5}}=>{{1,7},{2,3,5,8},{4},{6}}
[4,5,1,7,3,6,2,8]=>[4,5,3,7,1,8,2,6]=>{{1,4,7},{2,5},{3},{6,8}}=>{{1,3},{2,5,8},{4,7},{6}}
[4,2,3,5,6,7,8,9,1]=>[4,2,3,5,6,7,8,9,1]=>{{1,4,5,6,7,8,9},{2},{3}}=>{{1,2,3,4,5,6,9},{7},{8}}
[3,2,4,5,6,7,8,9,10,1]=>[3,2,4,5,6,7,8,9,10,1]=>{{1,3,4,5,6,7,8,9,10},{2}}=>{{1,2,3,4,5,6,7,8,10},{9}}
[2,3,4,5,6,7,8,9,10,11,1]=>[2,1,3,4,5,6,7,8,9,10,11]=>{{1,2},{3},{4},{5},{6},{7},{8},{9},{10},{11}}=>{{1},{2},{3},{4},{5},{6},{7},{8},{9},{10,11}}
[8,7,1,4,2,6,3,5]=>[1,4,2,8,3,7,6,5]=>{{1},{2,4,8},{3},{5},{6,7}}=>{{1,5,7},{2,3},{4},{6},{8}}
[5,8,7,4,2,6,1,3]=>[5,8,4,7,6,2,1,3]=>{{1,5,6},{2,8},{3,4,7}}=>{{1,7},{2,5,6},{3,4,8}}
[2,4,8,1,5,6,7,3]=>[8,2,4,5,6,1,3,7]=>{{1,8},{2},{3,4,5,6},{7}}=>{{1,8},{2},{3,4,5,6},{7}}
[2,4,6,8,10,1,3,5,7,9]=>[2,4,6,8,10,1,3,5,7,9]=>{{1,2,4,8},{3,6},{5,10},{7},{9}}=>{{1,6},{2},{3,7,9,10},{4},{5,8}}
[2,4,6,9,10,1,3,5,7,8]=>[2,4,6,9,10,1,3,5,7,8]=>{{1,2,4,9},{3,6},{5,10},{7},{8}}=>{{1,6},{2,7,9,10},{3},{4},{5,8}}
[2,4,7,8,10,1,3,5,6,9]=>[2,4,7,8,10,1,3,5,6,9]=>{{1,2,4,8},{3,7},{5,10},{6},{9}}=>{{1,6},{2},{3,7,9,10},{4,8},{5}}
[2,4,7,9,10,1,3,5,6,8]=>[2,4,7,9,10,1,3,5,6,8]=>{{1,2,4,9},{3,7},{5,10},{6},{8}}=>{{1,6},{2,7,9,10},{3},{4,8},{5}}
[2,4,8,9,10,1,3,5,6,7]=>[2,4,8,9,10,1,3,5,6,7]=>{{1,2,4,9},{3,8},{5,10},{6},{7}}=>{{1,6},{2,7,9,10},{3,8},{4},{5}}
[2,5,6,8,10,1,3,4,7,9]=>[2,5,6,8,10,1,3,4,7,9]=>{{1,2,5,10},{3,6},{4,8},{7},{9}}=>{{1,6,9,10},{2},{3,7},{4},{5,8}}
[2,5,6,9,10,1,3,4,7,8]=>[2,5,6,9,10,1,3,4,7,8]=>{{1,2,5,10},{3,6},{4,9},{7},{8}}=>{{1,6,9,10},{2,7},{3},{4},{5,8}}
[2,5,7,8,10,1,3,4,6,9]=>[2,5,7,8,10,1,3,4,6,9]=>{{1,2,5,10},{3,7},{4,8},{6},{9}}=>{{1,6,9,10},{2},{3,7},{4,8},{5}}
[2,5,7,9,10,1,3,4,6,8]=>[2,5,7,9,10,1,3,4,6,8]=>{{1,2,5,10},{3,7},{4,9},{6},{8}}=>{{1,6,9,10},{2,7},{3},{4,8},{5}}
[2,5,8,9,10,1,3,4,6,7]=>[2,5,8,9,10,1,3,4,6,7]=>{{1,2,5,10},{3,8},{4,9},{6},{7}}=>{{1,6,9,10},{2,7},{3,8},{4},{5}}
[2,6,7,8,10,1,3,4,5,9]=>[2,6,7,8,10,1,3,4,5,9]=>{{1,2,6},{3,7},{4,8},{5,10},{9}}=>{{1,6},{2},{3,7},{4,8},{5,9,10}}
[2,6,7,9,10,1,3,4,5,8]=>[2,6,7,9,10,1,3,4,5,8]=>{{1,2,6},{3,7},{4,9},{5,10},{8}}=>{{1,6},{2,7},{3},{4,8},{5,9,10}}
[2,6,8,9,10,1,3,4,5,7]=>[2,6,8,9,10,1,3,4,5,7]=>{{1,2,6},{3,8},{4,9},{5,10},{7}}=>{{1,6},{2,7},{3,8},{4},{5,9,10}}
[2,7,8,9,10,1,3,4,5,6]=>[2,7,8,9,10,1,3,4,5,6]=>{{1,2,7},{3,8},{4,9},{5,10},{6}}=>{{1,6},{2,7},{3,8},{4,9,10},{5}}
[3,4,6,8,10,1,2,5,7,9]=>[3,4,6,8,10,1,2,5,7,9]=>{{1,3,6},{2,4,8},{5,10},{7},{9}}=>{{1,6},{2},{3,7,9},{4},{5,8,10}}
[3,4,6,9,10,1,2,5,7,8]=>[3,4,6,9,10,1,2,5,7,8]=>{{1,3,6},{2,4,9},{5,10},{7},{8}}=>{{1,6},{2,7,9},{3},{4},{5,8,10}}
[3,4,7,8,10,1,2,5,6,9]=>[3,4,7,8,10,1,2,5,6,9]=>{{1,3,7},{2,4,8},{5,10},{6},{9}}=>{{1,6},{2},{3,7,9},{4,8,10},{5}}
[3,4,7,9,10,1,2,5,6,8]=>[3,4,7,9,10,1,2,5,6,8]=>{{1,3,7},{2,4,9},{5,10},{6},{8}}=>{{1,6},{2,7,9},{3},{4,8,10},{5}}
[3,4,8,9,10,1,2,5,6,7]=>[3,4,8,9,10,1,2,5,6,7]=>{{1,3,8},{2,4,9},{5,10},{6},{7}}=>{{1,6},{2,7,9},{3,8,10},{4},{5}}
[3,5,6,8,10,1,2,4,7,9]=>[3,5,6,8,10,1,2,4,7,9]=>{{1,3,6},{2,5,10},{4,8},{7},{9}}=>{{1,6,9},{2},{3,7},{4},{5,8,10}}
[3,5,6,9,10,1,2,4,7,8]=>[3,5,6,9,10,1,2,4,7,8]=>{{1,3,6},{2,5,10},{4,9},{7},{8}}=>{{1,6,9},{2,7},{3},{4},{5,8,10}}
[3,5,7,8,10,1,2,4,6,9]=>[3,5,7,8,10,1,2,4,6,9]=>{{1,3,7},{2,5,10},{4,8},{6},{9}}=>{{1,6,9},{2},{3,7},{4,8,10},{5}}
[3,5,7,9,10,1,2,4,6,8]=>[3,5,7,9,10,1,2,4,6,8]=>{{1,3,7},{2,5,10},{4,9},{6},{8}}=>{{1,6,9},{2,7},{3},{4,8,10},{5}}
[3,5,8,9,10,1,2,4,6,7]=>[3,5,8,9,10,1,2,4,6,7]=>{{1,3,8},{2,5,10},{4,9},{6},{7}}=>{{1,6,9},{2,7},{3,8,10},{4},{5}}
[3,6,7,8,10,1,2,4,5,9]=>[3,6,7,8,10,1,2,4,5,9]=>{{1,3,7},{2,6},{4,8},{5,10},{9}}=>{{1,6},{2},{3,7},{4,8,10},{5,9}}
[3,6,7,9,10,1,2,4,5,8]=>[3,6,7,9,10,1,2,4,5,8]=>{{1,3,7},{2,6},{4,9},{5,10},{8}}=>{{1,6},{2,7},{3},{4,8,10},{5,9}}
[3,6,8,9,10,1,2,4,5,7]=>[3,6,8,9,10,1,2,4,5,7]=>{{1,3,8},{2,6},{4,9},{5,10},{7}}=>{{1,6},{2,7},{3,8,10},{4},{5,9}}
[3,7,8,9,10,1,2,4,5,6]=>[3,7,8,9,10,1,2,4,5,6]=>{{1,3,8},{2,7},{4,9},{5,10},{6}}=>{{1,6},{2,7},{3,8,10},{4,9},{5}}
[4,5,6,8,10,1,2,3,7,9]=>[4,5,6,8,10,1,2,3,7,9]=>{{1,4,8},{2,5,10},{3,6},{7},{9}}=>{{1,6,9},{2},{3,7,10},{4},{5,8}}
[4,5,6,9,10,1,2,3,7,8]=>[4,5,6,9,10,1,2,3,7,8]=>{{1,4,9},{2,5,10},{3,6},{7},{8}}=>{{1,6,9},{2,7,10},{3},{4},{5,8}}
[4,5,7,8,10,1,2,3,6,9]=>[4,5,7,8,10,1,2,3,6,9]=>{{1,4,8},{2,5,10},{3,7},{6},{9}}=>{{1,6,9},{2},{3,7,10},{4,8},{5}}
[4,5,7,9,10,1,2,3,6,8]=>[4,5,7,9,10,1,2,3,6,8]=>{{1,4,9},{2,5,10},{3,7},{6},{8}}=>{{1,6,9},{2,7,10},{3},{4,8},{5}}
[4,5,8,9,10,1,2,3,6,7]=>[4,5,8,9,10,1,2,3,6,7]=>{{1,4,9},{2,5,10},{3,8},{6},{7}}=>{{1,6,9},{2,7,10},{3,8},{4},{5}}
[4,6,7,8,10,1,2,3,5,9]=>[4,6,7,8,10,1,2,3,5,9]=>{{1,4,8},{2,6},{3,7},{5,10},{9}}=>{{1,6},{2},{3,7,10},{4,8},{5,9}}
[4,6,7,9,10,1,2,3,5,8]=>[4,6,7,9,10,1,2,3,5,8]=>{{1,4,9},{2,6},{3,7},{5,10},{8}}=>{{1,6},{2,7,10},{3},{4,8},{5,9}}
[4,6,8,9,10,1,2,3,5,7]=>[4,6,8,9,10,1,2,3,5,7]=>{{1,4,9},{2,6},{3,8},{5,10},{7}}=>{{1,6},{2,7,10},{3,8},{4},{5,9}}
[4,7,8,9,10,1,2,3,5,6]=>[4,7,8,9,10,1,2,3,5,6]=>{{1,4,9},{2,7},{3,8},{5,10},{6}}=>{{1,6},{2,7,10},{3,8},{4,9},{5}}
[5,6,7,8,10,1,2,3,4,9]=>[5,6,7,8,10,1,2,3,4,9]=>{{1,5,10},{2,6},{3,7},{4,8},{9}}=>{{1,6,10},{2},{3,7},{4,8},{5,9}}
[5,6,7,9,10,1,2,3,4,8]=>[5,6,7,9,10,1,2,3,4,8]=>{{1,5,10},{2,6},{3,7},{4,9},{8}}=>{{1,6,10},{2,7},{3},{4,8},{5,9}}
[5,6,8,9,10,1,2,3,4,7]=>[5,6,8,9,10,1,2,3,4,7]=>{{1,5,10},{2,6},{3,8},{4,9},{7}}=>{{1,6,10},{2,7},{3,8},{4},{5,9}}
[5,7,8,9,10,1,2,3,4,6]=>[5,7,8,9,10,1,2,3,4,6]=>{{1,5,10},{2,7},{3,8},{4,9},{6}}=>{{1,6,10},{2,7},{3,8},{4,9},{5}}
[2,4,6,8,10,12,1,3,5,7,9,11]=>[2,4,6,8,10,12,1,3,5,7,9,11]=>{{1,2,4,8},{3,6,12},{5,10},{7},{9},{11}}=>{{1,7,10},{2},{3,8},{4},{5,9,11,12},{6}}
[2,4,6,8,11,12,1,3,5,7,9,10]=>[2,4,6,8,11,12,1,3,5,7,9,10]=>{{1,2,4,8},{3,6,12},{5,11},{7},{9},{10}}=>{{1,7,10},{2,8},{3},{4},{5,9,11,12},{6}}
[2,4,6,9,10,12,1,3,5,7,8,11]=>[2,4,6,9,10,12,1,3,5,7,8,11]=>{{1,2,4,9},{3,6,12},{5,10},{7},{8},{11}}=>{{1,7,10},{2},{3,8},{4,9,11,12},{5},{6}}
[2,4,6,9,11,12,1,3,5,7,8,10]=>[2,4,6,9,11,12,1,3,5,7,8,10]=>{{1,2,4,9},{3,6,12},{5,11},{7},{8},{10}}=>{{1,7,10},{2,8},{3},{4,9,11,12},{5},{6}}
[2,4,6,10,11,12,1,3,5,7,8,9]=>[2,4,6,10,11,12,1,3,5,7,8,9]=>{{1,2,4,10},{3,6,12},{5,11},{7},{8},{9}}=>{{1,7,10},{2,8},{3,9,11,12},{4},{5},{6}}
[2,4,7,8,10,12,1,3,5,6,9,11]=>[2,4,7,8,10,12,1,3,5,6,9,11]=>{{1,2,4,8},{3,7},{5,10},{6,12},{9},{11}}=>{{1,7},{2},{3,8},{4},{5,9,11,12},{6,10}}
[2,4,7,8,11,12,1,3,5,6,9,10]=>[2,4,7,8,11,12,1,3,5,6,9,10]=>{{1,2,4,8},{3,7},{5,11},{6,12},{9},{10}}=>{{1,7},{2,8},{3},{4},{5,9,11,12},{6,10}}
[2,4,7,9,10,12,1,3,5,6,8,11]=>[2,4,7,9,10,12,1,3,5,6,8,11]=>{{1,2,4,9},{3,7},{5,10},{6,12},{8},{11}}=>{{1,7},{2},{3,8},{4,9,11,12},{5},{6,10}}
[2,4,7,9,11,12,1,3,5,6,8,10]=>[2,4,7,9,11,12,1,3,5,6,8,10]=>{{1,2,4,9},{3,7},{5,11},{6,12},{8},{10}}=>{{1,7},{2,8},{3},{4,9,11,12},{5},{6,10}}
[2,4,7,10,11,12,1,3,5,6,8,9]=>[2,4,7,10,11,12,1,3,5,6,8,9]=>{{1,2,4,10},{3,7},{5,11},{6,12},{8},{9}}=>{{1,7},{2,8},{3,9,11,12},{4},{5},{6,10}}
[2,4,8,9,10,12,1,3,5,6,7,11]=>[2,4,8,9,10,12,1,3,5,6,7,11]=>{{1,2,4,9},{3,8},{5,10},{6,12},{7},{11}}=>{{1,7},{2},{3,8},{4,9,11,12},{5,10},{6}}
[2,4,8,9,11,12,1,3,5,6,7,10]=>[2,4,8,9,11,12,1,3,5,6,7,10]=>{{1,2,4,9},{3,8},{5,11},{6,12},{7},{10}}=>{{1,7},{2,8},{3},{4,9,11,12},{5,10},{6}}
[2,4,8,10,11,12,1,3,5,6,7,9]=>[2,4,8,10,11,12,1,3,5,6,7,9]=>{{1,2,4,10},{3,8},{5,11},{6,12},{7},{9}}=>{{1,7},{2,8},{3,9,11,12},{4},{5,10},{6}}
[2,4,9,10,11,12,1,3,5,6,7,8]=>[2,4,9,10,11,12,1,3,5,6,7,8]=>{{1,2,4,10},{3,9},{5,11},{6,12},{7},{8}}=>{{1,7},{2,8},{3,9,11,12},{4,10},{5},{6}}
[2,5,6,8,10,12,1,3,4,7,9,11]=>[2,5,6,8,10,12,1,3,4,7,9,11]=>{{1,2,5,10},{3,6,12},{4,8},{7},{9},{11}}=>{{1,7,10},{2},{3,8,11,12},{4},{5,9},{6}}
[2,5,6,8,11,12,1,3,4,7,9,10]=>[2,5,6,8,11,12,1,3,4,7,9,10]=>{{1,2,5,11},{3,6,12},{4,8},{7},{9},{10}}=>{{1,7,10},{2,8,11,12},{3},{4},{5,9},{6}}
[2,5,6,9,10,12,1,3,4,7,8,11]=>[2,5,6,9,10,12,1,3,4,7,8,11]=>{{1,2,5,10},{3,6,12},{4,9},{7},{8},{11}}=>{{1,7,10},{2},{3,8,11,12},{4,9},{5},{6}}
[2,5,6,9,11,12,1,3,4,7,8,10]=>[2,5,6,9,11,12,1,3,4,7,8,10]=>{{1,2,5,11},{3,6,12},{4,9},{7},{8},{10}}=>{{1,7,10},{2,8,11,12},{3},{4,9},{5},{6}}
[2,5,6,10,11,12,1,3,4,7,8,9]=>[2,5,6,10,11,12,1,3,4,7,8,9]=>{{1,2,5,11},{3,6,12},{4,10},{7},{8},{9}}=>{{1,7,10},{2,8,11,12},{3,9},{4},{5},{6}}
[2,5,7,8,10,12,1,3,4,6,9,11]=>[2,5,7,8,10,12,1,3,4,6,9,11]=>{{1,2,5,10},{3,7},{4,8},{6,12},{9},{11}}=>{{1,7},{2},{3,8,11,12},{4},{5,9},{6,10}}
[2,5,7,8,11,12,1,3,4,6,9,10]=>[2,5,7,8,11,12,1,3,4,6,9,10]=>{{1,2,5,11},{3,7},{4,8},{6,12},{9},{10}}=>{{1,7},{2,8,11,12},{3},{4},{5,9},{6,10}}
[2,5,7,9,10,12,1,3,4,6,8,11]=>[2,5,7,9,10,12,1,3,4,6,8,11]=>{{1,2,5,10},{3,7},{4,9},{6,12},{8},{11}}=>{{1,7},{2},{3,8,11,12},{4,9},{5},{6,10}}
[2,5,7,9,11,12,1,3,4,6,8,10]=>[2,5,7,9,11,12,1,3,4,6,8,10]=>{{1,2,5,11},{3,7},{4,9},{6,12},{8},{10}}=>{{1,7},{2,8,11,12},{3},{4,9},{5},{6,10}}
[2,5,7,10,11,12,1,3,4,6,8,9]=>[2,5,7,10,11,12,1,3,4,6,8,9]=>{{1,2,5,11},{3,7},{4,10},{6,12},{8},{9}}=>{{1,7},{2,8,11,12},{3,9},{4},{5},{6,10}}
[2,5,8,9,10,12,1,3,4,6,7,11]=>[2,5,8,9,10,12,1,3,4,6,7,11]=>{{1,2,5,10},{3,8},{4,9},{6,12},{7},{11}}=>{{1,7},{2},{3,8,11,12},{4,9},{5,10},{6}}
[2,5,8,9,11,12,1,3,4,6,7,10]=>[2,5,8,9,11,12,1,3,4,6,7,10]=>{{1,2,5,11},{3,8},{4,9},{6,12},{7},{10}}=>{{1,7},{2,8,11,12},{3},{4,9},{5,10},{6}}
[2,5,8,10,11,12,1,3,4,6,7,9]=>[2,5,8,10,11,12,1,3,4,6,7,9]=>{{1,2,5,11},{3,8},{4,10},{6,12},{7},{9}}=>{{1,7},{2,8,11,12},{3,9},{4},{5,10},{6}}
[2,5,9,10,11,12,1,3,4,6,7,8]=>[2,5,9,10,11,12,1,3,4,6,7,8]=>{{1,2,5,11},{3,9},{4,10},{6,12},{7},{8}}=>{{1,7},{2,8,11,12},{3,9},{4,10},{5},{6}}
[2,6,7,8,10,12,1,3,4,5,9,11]=>[2,6,7,8,10,12,1,3,4,5,9,11]=>{{1,2,6,12},{3,7},{4,8},{5,10},{9},{11}}=>{{1,7,11,12},{2},{3,8},{4},{5,9},{6,10}}
[2,6,7,8,11,12,1,3,4,5,9,10]=>[2,6,7,8,11,12,1,3,4,5,9,10]=>{{1,2,6,12},{3,7},{4,8},{5,11},{9},{10}}=>{{1,7,11,12},{2,8},{3},{4},{5,9},{6,10}}
[2,6,7,9,10,12,1,3,4,5,8,11]=>[2,6,7,9,10,12,1,3,4,5,8,11]=>{{1,2,6,12},{3,7},{4,9},{5,10},{8},{11}}=>{{1,7,11,12},{2},{3,8},{4,9},{5},{6,10}}
[2,6,7,9,11,12,1,3,4,5,8,10]=>[2,6,7,9,11,12,1,3,4,5,8,10]=>{{1,2,6,12},{3,7},{4,9},{5,11},{8},{10}}=>{{1,7,11,12},{2,8},{3},{4,9},{5},{6,10}}
[2,6,7,10,11,12,1,3,4,5,8,9]=>[2,6,7,10,11,12,1,3,4,5,8,9]=>{{1,2,6,12},{3,7},{4,10},{5,11},{8},{9}}=>{{1,7,11,12},{2,8},{3,9},{4},{5},{6,10}}
[2,6,8,9,10,12,1,3,4,5,7,11]=>[2,6,8,9,10,12,1,3,4,5,7,11]=>{{1,2,6,12},{3,8},{4,9},{5,10},{7},{11}}=>{{1,7,11,12},{2},{3,8},{4,9},{5,10},{6}}
[2,6,8,9,11,12,1,3,4,5,7,10]=>[2,6,8,9,11,12,1,3,4,5,7,10]=>{{1,2,6,12},{3,8},{4,9},{5,11},{7},{10}}=>{{1,7,11,12},{2,8},{3},{4,9},{5,10},{6}}
[2,6,8,10,11,12,1,3,4,5,7,9]=>[2,6,8,10,11,12,1,3,4,5,7,9]=>{{1,2,6,12},{3,8},{4,10},{5,11},{7},{9}}=>{{1,7,11,12},{2,8},{3,9},{4},{5,10},{6}}
[2,6,9,10,11,12,1,3,4,5,7,8]=>[2,6,9,10,11,12,1,3,4,5,7,8]=>{{1,2,6,12},{3,9},{4,10},{5,11},{7},{8}}=>{{1,7,11,12},{2,8},{3,9},{4,10},{5},{6}}
[2,7,8,9,10,12,1,3,4,5,6,11]=>[2,7,8,9,10,12,1,3,4,5,6,11]=>{{1,2,7},{3,8},{4,9},{5,10},{6,12},{11}}=>{{1,7},{2},{3,8},{4,9},{5,10},{6,11,12}}
[2,7,8,9,11,12,1,3,4,5,6,10]=>[2,7,8,9,11,12,1,3,4,5,6,10]=>{{1,2,7},{3,8},{4,9},{5,11},{6,12},{10}}=>{{1,7},{2,8},{3},{4,9},{5,10},{6,11,12}}
[2,7,8,10,11,12,1,3,4,5,6,9]=>[2,7,8,10,11,12,1,3,4,5,6,9]=>{{1,2,7},{3,8},{4,10},{5,11},{6,12},{9}}=>{{1,7},{2,8},{3,9},{4},{5,10},{6,11,12}}
[2,7,9,10,11,12,1,3,4,5,6,8]=>[2,7,9,10,11,12,1,3,4,5,6,8]=>{{1,2,7},{3,9},{4,10},{5,11},{6,12},{8}}=>{{1,7},{2,8},{3,9},{4,10},{5},{6,11,12}}
[2,8,9,10,11,12,1,3,4,5,6,7]=>[2,8,9,10,11,12,1,3,4,5,6,7]=>{{1,2,8},{3,9},{4,10},{5,11},{6,12},{7}}=>{{1,7},{2,8},{3,9},{4,10},{5,11,12},{6}}
[3,4,6,8,10,12,1,2,5,7,9,11]=>[3,4,6,8,10,12,1,2,5,7,9,11]=>{{1,3,6,12},{2,4,8},{5,10},{7},{9},{11}}=>{{1,7,10,12},{2},{3,8},{4},{5,9,11},{6}}
[3,4,6,8,11,12,1,2,5,7,9,10]=>[3,4,6,8,11,12,1,2,5,7,9,10]=>{{1,3,6,12},{2,4,8},{5,11},{7},{9},{10}}=>{{1,7,10,12},{2,8},{3},{4},{5,9,11},{6}}
[3,4,6,9,10,12,1,2,5,7,8,11]=>[3,4,6,9,10,12,1,2,5,7,8,11]=>{{1,3,6,12},{2,4,9},{5,10},{7},{8},{11}}=>{{1,7,10,12},{2},{3,8},{4,9,11},{5},{6}}
[3,4,6,9,11,12,1,2,5,7,8,10]=>[3,4,6,9,11,12,1,2,5,7,8,10]=>{{1,3,6,12},{2,4,9},{5,11},{7},{8},{10}}=>{{1,7,10,12},{2,8},{3},{4,9,11},{5},{6}}
[3,4,6,10,11,12,1,2,5,7,8,9]=>[3,4,6,10,11,12,1,2,5,7,8,9]=>{{1,3,6,12},{2,4,10},{5,11},{7},{8},{9}}=>{{1,7,10,12},{2,8},{3,9,11},{4},{5},{6}}
[3,4,7,8,10,12,1,2,5,6,9,11]=>[3,4,7,8,10,12,1,2,5,6,9,11]=>{{1,3,7},{2,4,8},{5,10},{6,12},{9},{11}}=>{{1,7},{2},{3,8},{4},{5,9,11},{6,10,12}}
[3,4,7,8,11,12,1,2,5,6,9,10]=>[3,4,7,8,11,12,1,2,5,6,9,10]=>{{1,3,7},{2,4,8},{5,11},{6,12},{9},{10}}=>{{1,7},{2,8},{3},{4},{5,9,11},{6,10,12}}
[3,4,7,9,10,12,1,2,5,6,8,11]=>[3,4,7,9,10,12,1,2,5,6,8,11]=>{{1,3,7},{2,4,9},{5,10},{6,12},{8},{11}}=>{{1,7},{2},{3,8},{4,9,11},{5},{6,10,12}}
[3,4,7,9,11,12,1,2,5,6,8,10]=>[3,4,7,9,11,12,1,2,5,6,8,10]=>{{1,3,7},{2,4,9},{5,11},{6,12},{8},{10}}=>{{1,7},{2,8},{3},{4,9,11},{5},{6,10,12}}
[3,4,7,10,11,12,1,2,5,6,8,9]=>[3,4,7,10,11,12,1,2,5,6,8,9]=>{{1,3,7},{2,4,10},{5,11},{6,12},{8},{9}}=>{{1,7},{2,8},{3,9,11},{4},{5},{6,10,12}}
[3,4,8,9,10,12,1,2,5,6,7,11]=>[3,4,8,9,10,12,1,2,5,6,7,11]=>{{1,3,8},{2,4,9},{5,10},{6,12},{7},{11}}=>{{1,7},{2},{3,8},{4,9,11},{5,10,12},{6}}
[3,4,8,9,11,12,1,2,5,6,7,10]=>[3,4,8,9,11,12,1,2,5,6,7,10]=>{{1,3,8},{2,4,9},{5,11},{6,12},{7},{10}}=>{{1,7},{2,8},{3},{4,9,11},{5,10,12},{6}}
[3,4,8,10,11,12,1,2,5,6,7,9]=>[3,4,8,10,11,12,1,2,5,6,7,9]=>{{1,3,8},{2,4,10},{5,11},{6,12},{7},{9}}=>{{1,7},{2,8},{3,9,11},{4},{5,10,12},{6}}
[3,4,9,10,11,12,1,2,5,6,7,8]=>[3,4,9,10,11,12,1,2,5,6,7,8]=>{{1,3,9},{2,4,10},{5,11},{6,12},{7},{8}}=>{{1,7},{2,8},{3,9,11},{4,10,12},{5},{6}}
[3,5,6,8,10,12,1,2,4,7,9,11]=>[3,5,6,8,10,12,1,2,4,7,9,11]=>{{1,3,6,12},{2,5,10},{4,8},{7},{9},{11}}=>{{1,7,10,12},{2},{3,8,11},{4},{5,9},{6}}
[3,5,6,8,11,12,1,2,4,7,9,10]=>[3,5,6,8,11,12,1,2,4,7,9,10]=>{{1,3,6,12},{2,5,11},{4,8},{7},{9},{10}}=>{{1,7,10,12},{2,8,11},{3},{4},{5,9},{6}}
[3,5,6,9,10,12,1,2,4,7,8,11]=>[3,5,6,9,10,12,1,2,4,7,8,11]=>{{1,3,6,12},{2,5,10},{4,9},{7},{8},{11}}=>{{1,7,10,12},{2},{3,8,11},{4,9},{5},{6}}
[3,5,6,9,11,12,1,2,4,7,8,10]=>[3,5,6,9,11,12,1,2,4,7,8,10]=>{{1,3,6,12},{2,5,11},{4,9},{7},{8},{10}}=>{{1,7,10,12},{2,8,11},{3},{4,9},{5},{6}}
[3,5,6,10,11,12,1,2,4,7,8,9]=>[3,5,6,10,11,12,1,2,4,7,8,9]=>{{1,3,6,12},{2,5,11},{4,10},{7},{8},{9}}=>{{1,7,10,12},{2,8,11},{3,9},{4},{5},{6}}
[3,5,7,8,10,12,1,2,4,6,9,11]=>[3,5,7,8,10,12,1,2,4,6,9,11]=>{{1,3,7},{2,5,10},{4,8},{6,12},{9},{11}}=>{{1,7},{2},{3,8,11},{4},{5,9},{6,10,12}}
[3,5,7,8,11,12,1,2,4,6,9,10]=>[3,5,7,8,11,12,1,2,4,6,9,10]=>{{1,3,7},{2,5,11},{4,8},{6,12},{9},{10}}=>{{1,7},{2,8,11},{3},{4},{5,9},{6,10,12}}
[3,5,7,9,10,12,1,2,4,6,8,11]=>[3,5,7,9,10,12,1,2,4,6,8,11]=>{{1,3,7},{2,5,10},{4,9},{6,12},{8},{11}}=>{{1,7},{2},{3,8,11},{4,9},{5},{6,10,12}}
[3,5,7,9,11,12,1,2,4,6,8,10]=>[3,5,7,9,11,12,1,2,4,6,8,10]=>{{1,3,7},{2,5,11},{4,9},{6,12},{8},{10}}=>{{1,7},{2,8,11},{3},{4,9},{5},{6,10,12}}
[3,5,7,10,11,12,1,2,4,6,8,9]=>[3,5,7,10,11,12,1,2,4,6,8,9]=>{{1,3,7},{2,5,11},{4,10},{6,12},{8},{9}}=>{{1,7},{2,8,11},{3,9},{4},{5},{6,10,12}}
[3,5,8,9,10,12,1,2,4,6,7,11]=>[3,5,8,9,10,12,1,2,4,6,7,11]=>{{1,3,8},{2,5,10},{4,9},{6,12},{7},{11}}=>{{1,7},{2},{3,8,11},{4,9},{5,10,12},{6}}
[3,5,8,9,11,12,1,2,4,6,7,10]=>[3,5,8,9,11,12,1,2,4,6,7,10]=>{{1,3,8},{2,5,11},{4,9},{6,12},{7},{10}}=>{{1,7},{2,8,11},{3},{4,9},{5,10,12},{6}}
[3,5,8,10,11,12,1,2,4,6,7,9]=>[3,5,8,10,11,12,1,2,4,6,7,9]=>{{1,3,8},{2,5,11},{4,10},{6,12},{7},{9}}=>{{1,7},{2,8,11},{3,9},{4},{5,10,12},{6}}
[3,5,9,10,11,12,1,2,4,6,7,8]=>[3,5,9,10,11,12,1,2,4,6,7,8]=>{{1,3,9},{2,5,11},{4,10},{6,12},{7},{8}}=>{{1,7},{2,8,11},{3,9},{4,10,12},{5},{6}}
[3,6,7,8,10,12,1,2,4,5,9,11]=>[3,6,7,8,10,12,1,2,4,5,9,11]=>{{1,3,7},{2,6,12},{4,8},{5,10},{9},{11}}=>{{1,7,11},{2},{3,8},{4},{5,9},{6,10,12}}
[3,6,7,8,11,12,1,2,4,5,9,10]=>[3,6,7,8,11,12,1,2,4,5,9,10]=>{{1,3,7},{2,6,12},{4,8},{5,11},{9},{10}}=>{{1,7,11},{2,8},{3},{4},{5,9},{6,10,12}}
[3,6,7,9,10,12,1,2,4,5,8,11]=>[3,6,7,9,10,12,1,2,4,5,8,11]=>{{1,3,7},{2,6,12},{4,9},{5,10},{8},{11}}=>{{1,7,11},{2},{3,8},{4,9},{5},{6,10,12}}
[3,6,7,9,11,12,1,2,4,5,8,10]=>[3,6,7,9,11,12,1,2,4,5,8,10]=>{{1,3,7},{2,6,12},{4,9},{5,11},{8},{10}}=>{{1,7,11},{2,8},{3},{4,9},{5},{6,10,12}}
[3,6,7,10,11,12,1,2,4,5,8,9]=>[3,6,7,10,11,12,1,2,4,5,8,9]=>{{1,3,7},{2,6,12},{4,10},{5,11},{8},{9}}=>{{1,7,11},{2,8},{3,9},{4},{5},{6,10,12}}
[3,6,8,9,10,12,1,2,4,5,7,11]=>[3,6,8,9,10,12,1,2,4,5,7,11]=>{{1,3,8},{2,6,12},{4,9},{5,10},{7},{11}}=>{{1,7,11},{2},{3,8},{4,9},{5,10,12},{6}}
[3,6,8,9,11,12,1,2,4,5,7,10]=>[3,6,8,9,11,12,1,2,4,5,7,10]=>{{1,3,8},{2,6,12},{4,9},{5,11},{7},{10}}=>{{1,7,11},{2,8},{3},{4,9},{5,10,12},{6}}
[3,6,8,10,11,12,1,2,4,5,7,9]=>[3,6,8,10,11,12,1,2,4,5,7,9]=>{{1,3,8},{2,6,12},{4,10},{5,11},{7},{9}}=>{{1,7,11},{2,8},{3,9},{4},{5,10,12},{6}}
[3,6,9,10,11,12,1,2,4,5,7,8]=>[3,6,9,10,11,12,1,2,4,5,7,8]=>{{1,3,9},{2,6,12},{4,10},{5,11},{7},{8}}=>{{1,7,11},{2,8},{3,9},{4,10,12},{5},{6}}
[3,7,8,9,10,12,1,2,4,5,6,11]=>[3,7,8,9,10,12,1,2,4,5,6,11]=>{{1,3,8},{2,7},{4,9},{5,10},{6,12},{11}}=>{{1,7},{2},{3,8},{4,9},{5,10,12},{6,11}}
[3,7,8,9,11,12,1,2,4,5,6,10]=>[3,7,8,9,11,12,1,2,4,5,6,10]=>{{1,3,8},{2,7},{4,9},{5,11},{6,12},{10}}=>{{1,7},{2,8},{3},{4,9},{5,10,12},{6,11}}
[3,7,8,10,11,12,1,2,4,5,6,9]=>[3,7,8,10,11,12,1,2,4,5,6,9]=>{{1,3,8},{2,7},{4,10},{5,11},{6,12},{9}}=>{{1,7},{2,8},{3,9},{4},{5,10,12},{6,11}}
[3,7,9,10,11,12,1,2,4,5,6,8]=>[3,7,9,10,11,12,1,2,4,5,6,8]=>{{1,3,9},{2,7},{4,10},{5,11},{6,12},{8}}=>{{1,7},{2,8},{3,9},{4,10,12},{5},{6,11}}
[3,8,9,10,11,12,1,2,4,5,6,7]=>[3,8,9,10,11,12,1,2,4,5,6,7]=>{{1,3,9},{2,8},{4,10},{5,11},{6,12},{7}}=>{{1,7},{2,8},{3,9},{4,10,12},{5,11},{6}}
[4,5,6,8,10,12,1,2,3,7,9,11]=>[4,5,6,8,10,12,1,2,3,7,9,11]=>{{1,4,8},{2,5,10},{3,6,12},{7},{9},{11}}=>{{1,7,10},{2},{3,8,11},{4},{5,9,12},{6}}
[4,5,6,8,11,12,1,2,3,7,9,10]=>[4,5,6,8,11,12,1,2,3,7,9,10]=>{{1,4,8},{2,5,11},{3,6,12},{7},{9},{10}}=>{{1,7,10},{2,8,11},{3},{4},{5,9,12},{6}}
[4,5,6,9,10,12,1,2,3,7,8,11]=>[4,5,6,9,10,12,1,2,3,7,8,11]=>{{1,4,9},{2,5,10},{3,6,12},{7},{8},{11}}=>{{1,7,10},{2},{3,8,11},{4,9,12},{5},{6}}
[4,5,6,9,11,12,1,2,3,7,8,10]=>[4,5,6,9,11,12,1,2,3,7,8,10]=>{{1,4,9},{2,5,11},{3,6,12},{7},{8},{10}}=>{{1,7,10},{2,8,11},{3},{4,9,12},{5},{6}}
[4,5,6,10,11,12,1,2,3,7,8,9]=>[4,5,6,10,11,12,1,2,3,7,8,9]=>{{1,4,10},{2,5,11},{3,6,12},{7},{8},{9}}=>{{1,7,10},{2,8,11},{3,9,12},{4},{5},{6}}
[4,5,7,8,10,12,1,2,3,6,9,11]=>[4,5,7,8,10,12,1,2,3,6,9,11]=>{{1,4,8},{2,5,10},{3,7},{6,12},{9},{11}}=>{{1,7},{2},{3,8,11},{4},{5,9,12},{6,10}}
[4,5,7,8,11,12,1,2,3,6,9,10]=>[4,5,7,8,11,12,1,2,3,6,9,10]=>{{1,4,8},{2,5,11},{3,7},{6,12},{9},{10}}=>{{1,7},{2,8,11},{3},{4},{5,9,12},{6,10}}
[4,5,7,9,10,12,1,2,3,6,8,11]=>[4,5,7,9,10,12,1,2,3,6,8,11]=>{{1,4,9},{2,5,10},{3,7},{6,12},{8},{11}}=>{{1,7},{2},{3,8,11},{4,9,12},{5},{6,10}}
[4,5,7,9,11,12,1,2,3,6,8,10]=>[4,5,7,9,11,12,1,2,3,6,8,10]=>{{1,4,9},{2,5,11},{3,7},{6,12},{8},{10}}=>{{1,7},{2,8,11},{3},{4,9,12},{5},{6,10}}
[4,5,7,10,11,12,1,2,3,6,8,9]=>[4,5,7,10,11,12,1,2,3,6,8,9]=>{{1,4,10},{2,5,11},{3,7},{6,12},{8},{9}}=>{{1,7},{2,8,11},{3,9,12},{4},{5},{6,10}}
[4,5,8,9,10,12,1,2,3,6,7,11]=>[4,5,8,9,10,12,1,2,3,6,7,11]=>{{1,4,9},{2,5,10},{3,8},{6,12},{7},{11}}=>{{1,7},{2},{3,8,11},{4,9,12},{5,10},{6}}
[4,5,8,9,11,12,1,2,3,6,7,10]=>[4,5,8,9,11,12,1,2,3,6,7,10]=>{{1,4,9},{2,5,11},{3,8},{6,12},{7},{10}}=>{{1,7},{2,8,11},{3},{4,9,12},{5,10},{6}}
[4,5,8,10,11,12,1,2,3,6,7,9]=>[4,5,8,10,11,12,1,2,3,6,7,9]=>{{1,4,10},{2,5,11},{3,8},{6,12},{7},{9}}=>{{1,7},{2,8,11},{3,9,12},{4},{5,10},{6}}
[4,5,9,10,11,12,1,2,3,6,7,8]=>[4,5,9,10,11,12,1,2,3,6,7,8]=>{{1,4,10},{2,5,11},{3,9},{6,12},{7},{8}}=>{{1,7},{2,8,11},{3,9,12},{4,10},{5},{6}}
[4,6,7,8,10,12,1,2,3,5,9,11]=>[4,6,7,8,10,12,1,2,3,5,9,11]=>{{1,4,8},{2,6,12},{3,7},{5,10},{9},{11}}=>{{1,7,11},{2},{3,8},{4},{5,9,12},{6,10}}
[4,6,7,8,11,12,1,2,3,5,9,10]=>[4,6,7,8,11,12,1,2,3,5,9,10]=>{{1,4,8},{2,6,12},{3,7},{5,11},{9},{10}}=>{{1,7,11},{2,8},{3},{4},{5,9,12},{6,10}}
[4,6,7,9,10,12,1,2,3,5,8,11]=>[4,6,7,9,10,12,1,2,3,5,8,11]=>{{1,4,9},{2,6,12},{3,7},{5,10},{8},{11}}=>{{1,7,11},{2},{3,8},{4,9,12},{5},{6,10}}
[4,6,7,9,11,12,1,2,3,5,8,10]=>[4,6,7,9,11,12,1,2,3,5,8,10]=>{{1,4,9},{2,6,12},{3,7},{5,11},{8},{10}}=>{{1,7,11},{2,8},{3},{4,9,12},{5},{6,10}}
[4,6,7,10,11,12,1,2,3,5,8,9]=>[4,6,7,10,11,12,1,2,3,5,8,9]=>{{1,4,10},{2,6,12},{3,7},{5,11},{8},{9}}=>{{1,7,11},{2,8},{3,9,12},{4},{5},{6,10}}
[4,6,8,9,10,12,1,2,3,5,7,11]=>[4,6,8,9,10,12,1,2,3,5,7,11]=>{{1,4,9},{2,6,12},{3,8},{5,10},{7},{11}}=>{{1,7,11},{2},{3,8},{4,9,12},{5,10},{6}}
[4,6,8,9,11,12,1,2,3,5,7,10]=>[4,6,8,9,11,12,1,2,3,5,7,10]=>{{1,4,9},{2,6,12},{3,8},{5,11},{7},{10}}=>{{1,7,11},{2,8},{3},{4,9,12},{5,10},{6}}
[4,6,8,10,11,12,1,2,3,5,7,9]=>[4,6,8,10,11,12,1,2,3,5,7,9]=>{{1,4,10},{2,6,12},{3,8},{5,11},{7},{9}}=>{{1,7,11},{2,8},{3,9,12},{4},{5,10},{6}}
[4,6,9,10,11,12,1,2,3,5,7,8]=>[4,6,9,10,11,12,1,2,3,5,7,8]=>{{1,4,10},{2,6,12},{3,9},{5,11},{7},{8}}=>{{1,7,11},{2,8},{3,9,12},{4,10},{5},{6}}
[4,7,8,9,10,12,1,2,3,5,6,11]=>[4,7,8,9,10,12,1,2,3,5,6,11]=>{{1,4,9},{2,7},{3,8},{5,10},{6,12},{11}}=>{{1,7},{2},{3,8},{4,9,12},{5,10},{6,11}}
[4,7,8,9,11,12,1,2,3,5,6,10]=>[4,7,8,9,11,12,1,2,3,5,6,10]=>{{1,4,9},{2,7},{3,8},{5,11},{6,12},{10}}=>{{1,7},{2,8},{3},{4,9,12},{5,10},{6,11}}
[4,7,8,10,11,12,1,2,3,5,6,9]=>[4,7,8,10,11,12,1,2,3,5,6,9]=>{{1,4,10},{2,7},{3,8},{5,11},{6,12},{9}}=>{{1,7},{2,8},{3,9,12},{4},{5,10},{6,11}}
[4,7,9,10,11,12,1,2,3,5,6,8]=>[4,7,9,10,11,12,1,2,3,5,6,8]=>{{1,4,10},{2,7},{3,9},{5,11},{6,12},{8}}=>{{1,7},{2,8},{3,9,12},{4,10},{5},{6,11}}
[4,8,9,10,11,12,1,2,3,5,6,7]=>[4,8,9,10,11,12,1,2,3,5,6,7]=>{{1,4,10},{2,8},{3,9},{5,11},{6,12},{7}}=>{{1,7},{2,8},{3,9,12},{4,10},{5,11},{6}}
[5,6,7,8,10,12,1,2,3,4,9,11]=>[5,6,7,8,10,12,1,2,3,4,9,11]=>{{1,5,10},{2,6,12},{3,7},{4,8},{9},{11}}=>{{1,7,11},{2},{3,8,12},{4},{5,9},{6,10}}
[5,6,7,8,11,12,1,2,3,4,9,10]=>[5,6,7,8,11,12,1,2,3,4,9,10]=>{{1,5,11},{2,6,12},{3,7},{4,8},{9},{10}}=>{{1,7,11},{2,8,12},{3},{4},{5,9},{6,10}}
[5,6,7,9,10,12,1,2,3,4,8,11]=>[5,6,7,9,10,12,1,2,3,4,8,11]=>{{1,5,10},{2,6,12},{3,7},{4,9},{8},{11}}=>{{1,7,11},{2},{3,8,12},{4,9},{5},{6,10}}
[5,6,7,9,11,12,1,2,3,4,8,10]=>[5,6,7,9,11,12,1,2,3,4,8,10]=>{{1,5,11},{2,6,12},{3,7},{4,9},{8},{10}}=>{{1,7,11},{2,8,12},{3},{4,9},{5},{6,10}}
[5,6,7,10,11,12,1,2,3,4,8,9]=>[5,6,7,10,11,12,1,2,3,4,8,9]=>{{1,5,11},{2,6,12},{3,7},{4,10},{8},{9}}=>{{1,7,11},{2,8,12},{3,9},{4},{5},{6,10}}
[5,6,8,9,10,12,1,2,3,4,7,11]=>[5,6,8,9,10,12,1,2,3,4,7,11]=>{{1,5,10},{2,6,12},{3,8},{4,9},{7},{11}}=>{{1,7,11},{2},{3,8,12},{4,9},{5,10},{6}}
[5,6,8,9,11,12,1,2,3,4,7,10]=>[5,6,8,9,11,12,1,2,3,4,7,10]=>{{1,5,11},{2,6,12},{3,8},{4,9},{7},{10}}=>{{1,7,11},{2,8,12},{3},{4,9},{5,10},{6}}
[5,6,8,10,11,12,1,2,3,4,7,9]=>[5,6,8,10,11,12,1,2,3,4,7,9]=>{{1,5,11},{2,6,12},{3,8},{4,10},{7},{9}}=>{{1,7,11},{2,8,12},{3,9},{4},{5,10},{6}}
[5,6,9,10,11,12,1,2,3,4,7,8]=>[5,6,9,10,11,12,1,2,3,4,7,8]=>{{1,5,11},{2,6,12},{3,9},{4,10},{7},{8}}=>{{1,7,11},{2,8,12},{3,9},{4,10},{5},{6}}
[5,7,8,9,10,12,1,2,3,4,6,11]=>[5,7,8,9,10,12,1,2,3,4,6,11]=>{{1,5,10},{2,7},{3,8},{4,9},{6,12},{11}}=>{{1,7},{2},{3,8,12},{4,9},{5,10},{6,11}}
[5,7,8,9,11,12,1,2,3,4,6,10]=>[5,7,8,9,11,12,1,2,3,4,6,10]=>{{1,5,11},{2,7},{3,8},{4,9},{6,12},{10}}=>{{1,7},{2,8,12},{3},{4,9},{5,10},{6,11}}
[5,7,8,10,11,12,1,2,3,4,6,9]=>[5,7,8,10,11,12,1,2,3,4,6,9]=>{{1,5,11},{2,7},{3,8},{4,10},{6,12},{9}}=>{{1,7},{2,8,12},{3,9},{4},{5,10},{6,11}}
[5,7,9,10,11,12,1,2,3,4,6,8]=>[5,7,9,10,11,12,1,2,3,4,6,8]=>{{1,5,11},{2,7},{3,9},{4,10},{6,12},{8}}=>{{1,7},{2,8,12},{3,9},{4,10},{5},{6,11}}
[5,8,9,10,11,12,1,2,3,4,6,7]=>[5,8,9,10,11,12,1,2,3,4,6,7]=>{{1,5,11},{2,8},{3,9},{4,10},{6,12},{7}}=>{{1,7},{2,8,12},{3,9},{4,10},{5,11},{6}}
[6,7,8,9,10,12,1,2,3,4,5,11]=>[6,7,8,9,10,12,1,2,3,4,5,11]=>{{1,6,12},{2,7},{3,8},{4,9},{5,10},{11}}=>{{1,7,12},{2},{3,8},{4,9},{5,10},{6,11}}
[6,7,8,9,11,12,1,2,3,4,5,10]=>[6,7,8,9,11,12,1,2,3,4,5,10]=>{{1,6,12},{2,7},{3,8},{4,9},{5,11},{10}}=>{{1,7,12},{2,8},{3},{4,9},{5,10},{6,11}}
[6,7,8,10,11,12,1,2,3,4,5,9]=>[6,7,8,10,11,12,1,2,3,4,5,9]=>{{1,6,12},{2,7},{3,8},{4,10},{5,11},{9}}=>{{1,7,12},{2,8},{3,9},{4},{5,10},{6,11}}
[6,7,9,10,11,12,1,2,3,4,5,8]=>[6,7,9,10,11,12,1,2,3,4,5,8]=>{{1,6,12},{2,7},{3,9},{4,10},{5,11},{8}}=>{{1,7,12},{2,8},{3,9},{4,10},{5},{6,11}}
[6,8,9,10,11,12,1,2,3,4,5,7]=>[6,8,9,10,11,12,1,2,3,4,5,7]=>{{1,6,12},{2,8},{3,9},{4,10},{5,11},{7}}=>{{1,7,12},{2,8},{3,9},{4,10},{5,11},{6}}
[7,8,9,10,11,12,1,2,3,4,5,6]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>{{1,7},{2,8},{3,9},{4,10},{5,11},{6,12}}=>{{1,7},{2,8},{3,9},{4,10},{5,11},{6,12}}
[4,5,7,6,2,3,8,1]=>[7,4,5,6,2,1,3,8]=>{{1,7},{2,4,6},{3,5},{8}}=>{{1},{2,8},{3,5,7},{4,6}}
[3,5,7,2,6,4,8,1]=>[7,3,5,2,6,1,4,8]=>{{1,7},{2,3,5,6},{4},{8}}=>{{1},{2,8},{3,4,6,7},{5}}
[4,1,3,7,6,8,5,2]=>[7,4,1,3,2,6,8,5]=>{{1,7,8},{2,4},{3},{5},{6}}=>{{1,2,8},{3},{4},{5,7},{6}}
[5,1,7,3,6,8,4,2]=>[7,5,1,3,6,2,8,4]=>{{1,7,8},{2,5,6},{3},{4}}=>{{1,2,8},{3,4,7},{5},{6}}
[6,7,1,2,8,5,4,3]=>[6,5,4,1,7,8,2,3]=>{{1,6,8},{2,5,7},{3,4}}=>{{1,3,8},{2,4,7},{5,6}}
[8,4,2,7,1,6,5,3]=>[8,4,2,7,1,6,5,3]=>{{1,8},{2,4,7},{3},{5},{6}}=>{{1,8},{2,5,7},{3},{4},{6}}
[6,7,4,5,8,1,3,2]=>[6,4,7,3,5,8,1,2]=>{{1,6,8},{2,4},{3,7},{5}}=>{{1,3,8},{2,6},{4},{5,7}}
[5,4,7,6,8,1,3,2]=>[5,4,7,3,6,1,8,2]=>{{1,5,6},{2,4},{3,7,8}}=>{{1,2,6},{3,4,8},{5,7}}
[8,4,1,7,2,6,5,3]=>[8,7,1,4,2,6,5,3]=>{{1,8},{2,7},{3},{4},{5},{6}}=>{{1,8},{2,7},{3},{4},{5},{6}}
[3,1,4,5,6,7,8,9,10,2]=>[3,1,4,5,6,7,8,9,10,2]=>{{1,3,4,5,6,7,8,9,10},{2}}=>{{1,2,3,4,5,6,7,8,10},{9}}
[3,1,4,5,6,7,8,9,10,11,2]=>[3,1,4,5,6,7,8,9,10,11,2]=>{{1,3,4,5,6,7,8,9,10,11},{2}}=>{{1,2,3,4,5,6,7,8,9,11},{10}}
[3,1,4,5,6,7,8,9,10,11,12,2]=>[3,1,4,5,6,7,8,9,10,11,12,2]=>{{1,3,4,5,6,7,8,9,10,11,12},{2}}=>{{1,2,3,4,5,6,7,8,9,10,12},{11}}
[4,6,5,1,8,7,2,3]=>[4,6,5,1,8,7,2,3]=>{{1,4},{2,6,7},{3,5,8}}=>{{1,4,6},{2,3,7},{5,8}}
[5,6,4,1,8,7,2,3]=>[5,6,4,1,8,7,2,3]=>{{1,5,8},{2,6,7},{3,4}}=>{{1,4,8},{2,3,7},{5,6}}
[3,5,6,1,8,2,7,4]=>[8,3,5,1,6,2,4,7]=>{{1,8},{2,3,5,6},{4},{7}}=>{{1,8},{2},{3,4,6,7},{5}}
[2,4,6,1,3,8,7,5]=>[8,2,1,4,6,3,5,7]=>{{1,8},{2},{3},{4},{5,6},{7}}=>{{1,8},{2},{3,4},{5},{6},{7}}
[5,3,6,1,8,2,7,4]=>[5,3,6,1,8,2,7,4]=>{{1,5,8},{2,3,6},{4},{7}}=>{{1,4,8},{2},{3,6,7},{5}}
[8,1,2,5,7,3,6,4]=>[8,5,7,1,2,3,6,4]=>{{1,8},{2,5},{3,7},{4},{6}}=>{{1,8},{2,6},{3},{4,7},{5}}
[6,2,5,1,8,3,7,4]=>[6,2,5,1,8,3,7,4]=>{{1,6},{2},{3,5,8},{4},{7}}=>{{1,4,6},{2},{3,8},{5},{7}}
[7,2,1,4,3,8,6,5]=>[7,2,1,4,3,8,6,5]=>{{1,7},{2},{3},{4},{5},{6,8}}=>{{1,3},{2,8},{4},{5},{6},{7}}
[7,3,1,4,2,8,6,5]=>[7,3,1,4,2,8,6,5]=>{{1,7},{2,3},{4},{5},{6,8}}=>{{1,3},{2,8},{4},{5},{6,7}}
[2,6,4,1,3,8,7,5]=>[6,2,1,4,8,7,3,5]=>{{1,6,7},{2},{3},{4},{5,8}}=>{{1,4},{2,3,8},{5},{6},{7}}
[8,1,6,7,2,3,5,4]=>[8,1,6,7,2,3,5,4]=>{{1,8},{2},{3,6},{4,7},{5}}=>{{1,8},{2,5},{3,6},{4},{7}}
[8,1,5,2,7,3,6,4]=>[8,1,5,2,7,3,6,4]=>{{1,8},{2},{3,5,7},{4},{6}}=>{{1,8},{2,4,6},{3},{5},{7}}
[8,1,4,2,3,7,6,5]=>[8,4,1,2,7,3,6,5]=>{{1,8},{2,4},{3},{5,7},{6}}=>{{1,8},{2,4},{3},{5,7},{6}}
[7,4,1,2,3,8,6,5]=>[7,4,1,2,3,8,6,5]=>{{1,7},{2,4},{3},{5},{6,8}}=>{{1,3},{2,8},{4},{5,7},{6}}
[7,3,1,2,4,8,6,5]=>[7,3,1,2,4,8,6,5]=>{{1,7},{2,3},{4},{5},{6,8}}=>{{1,3},{2,8},{4},{5},{6,7}}
[7,2,1,3,4,8,6,5]=>[7,2,1,3,4,8,6,5]=>{{1,7},{2},{3},{4},{5},{6,8}}=>{{1,3},{2,8},{4},{5},{6},{7}}
[2,4,6,3,5,8,7,1]=>[4,2,1,6,8,3,5,7]=>{{1,4,6},{2},{3},{5,8},{7}}=>{{1,4},{2},{3,5,8},{6},{7}}
[2,4,1,6,5,3,8,7]=>[2,1,6,4,3,8,5,7]=>{{1,2},{3,6,8},{4},{5},{7}}=>{{1,3,6},{2},{4},{5},{7,8}}
[2,4,6,1,5,3,8,7]=>[2,1,6,4,8,3,5,7]=>{{1,2},{3,6},{4},{5,8},{7}}=>{{1,4},{2},{3,6},{5},{7,8}}
[4,2,6,5,3,1,8,7]=>[4,2,6,5,3,1,8,7]=>{{1,4,5},{2},{3,6},{7,8}}=>{{1,2},{3,6},{4,5,8},{7}}
[4,2,6,5,1,3,8,7]=>[4,2,6,8,5,1,7,3]=>{{1,4,8},{2},{3,6},{5},{7}}=>{{1,5,8},{2},{3,6},{4},{7}}
[2,4,1,6,5,8,3,7]=>[2,6,1,4,3,8,5,7]=>{{1,2,6,8},{3},{4},{5},{7}}=>{{1,3,7,8},{2},{4},{5},{6}}
[2,1,4,6,5,8,3,7]=>[2,6,1,4,3,5,8,7]=>{{1,2,6},{3},{4},{5},{7,8}}=>{{1,2},{3,7,8},{4},{5},{6}}
[2,4,1,6,5,8,7,3]=>[6,2,1,4,3,8,5,7]=>{{1,6,8},{2},{3},{4},{5},{7}}=>{{1,3,8},{2},{4},{5},{6},{7}}
[2,4,6,1,5,8,7,3]=>[6,2,1,4,8,3,5,7]=>{{1,6},{2},{3},{4},{5,8},{7}}=>{{1,4},{2},{3,8},{5},{6},{7}}
[4,2,6,5,8,3,7,1]=>[6,4,5,2,3,1,8,7]=>{{1,6},{2,4},{3,5},{7,8}}=>{{1,2},{3,8},{4,6},{5,7}}
[2,4,6,8,1,5,7,3]=>[6,2,4,8,1,3,5,7]=>{{1,6},{2},{3,4,8},{5},{7}}=>{{1,5,6},{2},{3,8},{4},{7}}
[2,4,6,1,8,5,7,3]=>[6,2,4,1,8,3,5,7]=>{{1,6},{2},{3,4},{5,8},{7}}=>{{1,4},{2},{3,8},{5,6},{7}}
[2,1,4,6,8,5,7,3]=>[6,2,4,1,3,5,8,7]=>{{1,6},{2},{3,4},{5},{7,8}}=>{{1,2},{3,8},{4},{5,6},{7}}
[2,1,4,6,8,5,3,7]=>[2,6,4,1,3,5,8,7]=>{{1,2,6},{3,4},{5},{7,8}}=>{{1,2},{3,7,8},{4},{5,6}}
[2,4,1,6,8,5,3,7]=>[2,6,4,1,3,8,5,7]=>{{1,2,6,8},{3,4},{5},{7}}=>{{1,3,7,8},{2},{4},{5,6}}
[2,4,6,1,8,5,3,7]=>[2,6,4,1,8,3,5,7]=>{{1,2,6},{3,4},{5,8},{7}}=>{{1,4},{2},{3,7,8},{5,6}}
[2,4,6,8,1,5,3,7]=>[2,6,4,8,1,3,5,7]=>{{1,2,6},{3,4,8},{5},{7}}=>{{1,5,6},{2},{3,7,8},{4}}
[4,2,6,8,5,3,1,7]=>[4,6,5,2,1,3,8,7]=>{{1,4},{2,6},{3,5},{7,8}}=>{{1,2},{3,7},{4,6},{5,8}}
[4,2,6,8,5,1,7,3]=>[4,2,6,5,1,3,8,7]=>{{1,4,5},{2},{3,6},{7,8}}=>{{1,2},{3,6},{4,5,8},{7}}
[2,4,6,8,3,5,7,1]=>[4,2,6,8,1,3,5,7]=>{{1,4,8},{2},{3,6},{5},{7}}=>{{1,5,8},{2},{3,6},{4},{7}}
[2,4,6,8,3,5,1,7]=>[4,6,2,8,1,3,5,7]=>{{1,4,8},{2,6},{3},{5},{7}}=>{{1,5,8},{2},{3,7},{4},{6}}
[2,4,6,8,3,1,5,7]=>[4,6,8,2,1,3,5,7]=>{{1,4},{2,6},{3,8},{5},{7}}=>{{1,6},{2},{3,7},{4},{5,8}}
[2,4,6,3,1,8,5,7]=>[4,6,2,8,3,1,5,7]=>{{1,4,8},{2,6},{3},{5},{7}}=>{{1,5,8},{2},{3,7},{4},{6}}
[2,4,6,3,8,5,1,7]=>[4,6,2,1,8,3,5,7]=>{{1,4},{2,6},{3},{5,8},{7}}=>{{1,4},{2},{3,7},{5,8},{6}}
[2,4,6,3,8,5,7,1]=>[4,2,6,1,8,3,5,7]=>{{1,4},{2},{3,6},{5,8},{7}}=>{{1,4},{2},{3,6},{5,8},{7}}
[2,4,3,6,8,5,7,1]=>[4,2,6,1,3,8,5,7]=>{{1,4},{2},{3,6,8},{5},{7}}=>{{1,3,6},{2},{4},{5,8},{7}}
[2,4,3,6,8,5,1,7]=>[4,6,2,1,3,8,5,7]=>{{1,4},{2,6,8},{3},{5},{7}}=>{{1,3,7},{2},{4},{5,8},{6}}
[2,4,3,6,1,8,5,7]=>[4,6,2,8,3,5,1,7]=>{{1,4,8},{2,6},{3},{5},{7}}=>{{1,5,8},{2},{3,7},{4},{6}}
[2,4,3,6,1,8,7,5]=>[4,2,1,8,3,6,5,7]=>{{1,4,8},{2},{3},{5},{6},{7}}=>{{1,5,8},{2},{3},{4},{6},{7}}
[2,4,3,6,8,1,7,5]=>[4,2,8,1,3,6,5,7]=>{{1,4},{2},{3,8},{5},{6},{7}}=>{{1,6},{2},{3},{4},{5,8},{7}}
[4,6,2,5,8,7,3,1]=>[6,4,2,1,5,8,3,7]=>{{1,6,8},{2,4},{3},{5},{7}}=>{{1,3,8},{2},{4},{5,7},{6}}
[2,4,6,3,8,1,7,5]=>[4,2,8,1,6,3,5,7]=>{{1,4},{2},{3,8},{5,6},{7}}=>{{1,6},{2},{3,4},{5,8},{7}}
[2,4,6,3,1,8,7,5]=>[4,2,1,8,6,3,5,7]=>{{1,4,8},{2},{3},{5,6},{7}}=>{{1,5,8},{2},{3,4},{6},{7}}
[2,4,1,6,3,8,7,5]=>[8,2,1,4,3,6,5,7]=>{{1,8},{2},{3},{4},{5},{6},{7}}=>{{1,8},{2},{3},{4},{5},{6},{7}}
[2,4,1,6,8,3,7,5]=>[8,2,4,1,3,6,5,7]=>{{1,8},{2},{3,4},{5},{6},{7}}=>{{1,8},{2},{3},{4},{5,6},{7}}
[2,4,6,1,8,3,7,5]=>[8,2,4,1,6,3,5,7]=>{{1,8},{2},{3,4},{5,6},{7}}=>{{1,8},{2},{3,4},{5,6},{7}}
[2,4,6,8,1,3,7,5]=>[8,2,4,6,1,3,5,7]=>{{1,8},{2},{3,4,6},{5},{7}}=>{{1,8},{2},{3,5,6},{4},{7}}
[4,6,2,8,5,7,1,3]=>[4,6,2,5,1,8,3,7]=>{{1,4,5},{2,6,8},{3},{7}}=>{{1,3,7},{2},{4,5,8},{6}}
[2,6,4,1,8,7,3,5]=>[2,6,4,1,8,7,3,5]=>{{1,2,6,7},{3,4},{5,8}}=>{{1,4},{2,3,7,8},{5,6}}
[2,6,4,8,1,7,3,5]=>[2,6,4,8,1,7,3,5]=>{{1,2,6,7},{3,4,8},{5}}=>{{1,5,6},{2,3,7,8},{4}}
[5,2,4,7,3,6,8,1]=>[5,2,4,7,3,6,8,1]=>{{1,5},{2},{3,4,7,8},{6}}=>{{1,2,5,6},{3},{4,8},{7}}
[8,1,6,3,7,2,4,5]=>[1,6,8,3,7,4,5,2]=>{{1},{2,6},{3,8},{4},{5,7}}=>{{1,6},{2,4},{3,7},{5},{8}}
[2,6,1,4,5,8,3,7]=>[2,6,1,4,5,8,3,7]=>{{1,2,6,8},{3},{4},{5},{7}}=>{{1,3,7,8},{2},{4},{5},{6}}
[6,4,2,1,5,8,3,7]=>[4,6,2,5,8,7,3,1]=>{{1,4,5,8},{2,6,7},{3}}=>{{1,4,5,8},{2,3,7},{6}}
[4,3,5,2,1,8,6,7]=>[4,5,3,8,6,2,7,1]=>{{1,4,8},{2,5,6},{3},{7}}=>{{1,5,8},{2},{3,4,7},{6}}
[1,6,4,8,7,2,3,5]=>[1,6,8,4,2,7,3,5]=>{{1},{2,6,7},{3,8},{4},{5}}=>{{1,6},{2,3,7},{4},{5},{8}}
[2,7,8,3,6,1,4,5]=>[2,7,8,3,6,1,4,5]=>{{1,2,7},{3,8},{4},{5,6}}=>{{1,6},{2,7,8},{3,4},{5}}
[5,2,4,8,7,1,3,6]=>[2,5,8,4,1,3,7,6]=>{{1,2,5},{3,8},{4},{6},{7}}=>{{1,6},{2},{3},{4,7,8},{5}}
[8,3,2,1,6,4,5,7]=>[3,4,6,2,8,7,5,1]=>{{1,3,6,7},{2,4},{5,8}}=>{{1,4},{2,3,6,8},{5,7}}
[4,7,2,5,1,8,3,6]=>[4,7,2,8,5,6,1,3]=>{{1,4,8},{2,7},{3},{5},{6}}=>{{1,5,8},{2,7},{3},{4},{6}}
[3,2,1,7,5,8,6,4]=>[3,2,1,7,5,8,6,4]=>{{1,3},{2},{4,7},{5},{6,8}}=>{{1,3},{2,5},{4},{6,8},{7}}
[4,2,8,6,1,7,3,5]=>[4,6,2,8,3,1,7,5]=>{{1,4,8},{2,6},{3},{5},{7}}=>{{1,5,8},{2},{3,7},{4},{6}}
[5,7,8,3,4,1,2,6]=>[5,7,8,3,4,1,2,6]=>{{1,5},{2,7},{3,8},{4},{6}}=>{{1,6},{2,7},{3},{4,8},{5}}
[4,2,7,8,1,3,6,5]=>[4,2,7,8,1,3,6,5]=>{{1,4,8},{2},{3,7},{5},{6}}=>{{1,5,8},{2,6},{3},{4},{7}}
[4,2,6,8,1,3,7,5]=>[4,2,6,8,1,3,7,5]=>{{1,4,8},{2},{3,6},{5},{7}}=>{{1,5,8},{2},{3,6},{4},{7}}
[3,2,6,1,8,4,7,5]=>[3,2,6,1,8,4,7,5]=>{{1,3,6},{2},{4},{5,8},{7}}=>{{1,4},{2},{3,6,8},{5},{7}}
[5,3,6,4,8,7,1,2]=>[5,6,3,1,4,2,8,7]=>{{1,5},{2,6},{3},{4},{7,8}}=>{{1,2},{3,7},{4,8},{5},{6}}
[7,3,8,5,4,6,1,2]=>[7,8,3,5,4,1,6,2]=>{{1,7},{2,8},{3},{4,5},{6}}=>{{1,7},{2,8},{3},{4,5},{6}}
[6,8,3,5,4,7,1,2]=>[6,8,3,5,4,7,1,2]=>{{1,6,7},{2,8},{3},{4,5}}=>{{1,7},{2,3,8},{4,5},{6}}
[1,8,2,5,7,3,6,4]=>[8,5,7,1,2,6,3,4]=>{{1,8},{2,5},{3,7},{4},{6}}=>{{1,8},{2,6},{3},{4,7},{5}}
[4,3,6,1,8,2,7,5]=>[4,3,6,1,8,2,7,5]=>{{1,4},{2,3,6},{5,8},{7}}=>{{1,4},{2},{3,6,7},{5,8}}
[2,3,8,5,4,1,6,7]=>[2,3,8,5,4,1,6,7]=>{{1,2,3,8},{4,5},{6},{7}}=>{{1,6,7,8},{2},{3},{4,5}}
[7,5,1,6,4,3,2,8]=>[5,7,6,4,1,8,3,2]=>{{1,5},{2,7},{3,6,8},{4}}=>{{1,3,6},{2,7},{4,8},{5}}
[1,5,8,6,4,3,2,7]=>[1,8,5,4,3,2,6,7]=>{{1},{2,8},{3,5},{4},{6},{7}}=>{{1,7},{2},{3},{4,6},{5},{8}}
[2,6,1,5,7,3,8,4]=>[2,1,6,5,7,8,3,4]=>{{1,2},{3,6,8},{4,5,7}}=>{{1,3,6},{2,4,5},{7,8}}
[6,8,1,7,4,3,2,5]=>[1,8,6,4,3,7,2,5]=>{{1},{2,8},{3,6,7},{4},{5}}=>{{1,7},{2,3,6},{4},{5},{8}}
[1,8,7,6,4,3,2,5]=>[1,8,7,6,4,3,2,5]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1,7},{2,6},{3,5},{4},{8}}
[6,4,1,5,2,3,7,8]=>[1,4,6,7,2,8,5,3]=>{{1},{2,4,7},{3,6,8},{5}}=>{{1,3,6},{2,5,7},{4},{8}}
[4,2,6,3,8,1,7,5]=>[4,2,8,1,6,3,7,5]=>{{1,4},{2},{3,8},{5,6},{7}}=>{{1,6},{2},{3,4},{5,8},{7}}
[7,8,2,3,4,1,6,5]=>[7,2,8,3,4,6,1,5]=>{{1,7},{2},{3,8},{4},{5},{6}}=>{{1,6},{2,8},{3},{4},{5},{7}}
[1,8,5,7,4,3,2,6]=>[5,8,7,4,1,3,2,6]=>{{1,5},{2,8},{3,7},{4},{6}}=>{{1,7},{2,6},{3},{4,8},{5}}
[7,1,5,8,4,3,2,6]=>[7,8,5,4,1,3,6,2]=>{{1,7},{2,8},{3,5},{4},{6}}=>{{1,7},{2,8},{3},{4,6},{5}}
[5,1,8,7,4,3,2,6]=>[1,8,5,4,3,2,7,6]=>{{1},{2,8},{3,5},{4},{6},{7}}=>{{1,7},{2},{3},{4,6},{5},{8}}
[6,5,1,8,4,3,2,7]=>[1,6,5,4,3,8,7,2]=>{{1},{2,6,8},{3,5},{4},{7}}=>{{1,3,7},{2},{4,6},{5},{8}}
[7,5,8,1,4,3,2,6]=>[1,7,5,4,8,3,6,2]=>{{1},{2,7},{3,5,8},{4},{6}}=>{{1,4,6},{2,7},{3},{5},{8}}
[2,4,7,5,1,3,8,6]=>[2,1,7,8,4,3,5,6]=>{{1,2},{3,7},{4,8},{5},{6}}=>{{1,5},{2,6},{3},{4},{7,8}}
[7,6,5,1,4,3,2,8]=>[1,7,6,5,8,4,3,2]=>{{1},{2,7},{3,6},{4,5,8}}=>{{1,4,5},{2,7},{3,6},{8}}
[1,2,3,4,5,6,9,7,8]=>[1,9,2,3,4,5,6,7,8]=>{{1},{2,9},{3},{4},{5},{6},{7},{8}}=>{{1,8},{2},{3},{4},{5},{6},{7},{9}}
[9,8,1,2,3,4,5,6,7]=>[1,2,3,4,5,6,9,8,7]=>{{1},{2},{3},{4},{5},{6},{7,9},{8}}=>{{1,3},{2},{4},{5},{6},{7},{8},{9}}
[7,8,9,4,5,6,1,2,3]=>[7,8,9,4,5,6,1,2,3]=>{{1,7},{2,8},{3,9},{4},{5},{6}}=>{{1,7},{2,8},{3,9},{4},{5},{6}}
[9,8,7,6,5,4,3,1,2]=>[1,9,8,7,6,5,4,3,2]=>{{1},{2,9},{3,8},{4,7},{5,6}}=>{{1,8},{2,7},{3,6},{4,5},{9}}
[9,10,7,8,5,6,3,4,1,2]=>[9,10,7,8,5,6,3,4,1,2]=>{{1,9},{2,10},{3,7},{4,8},{5},{6}}=>{{1,9},{2,10},{3,7},{4,8},{5},{6}}
[10,9,8,7,6,5,4,3,1,2]=>[1,10,9,8,7,6,5,4,3,2]=>{{1},{2,10},{3,9},{4,8},{5,7},{6}}=>{{1,9},{2,8},{3,7},{4,6},{5},{10}}
[6,1,2,5,4,7,8,3]=>[6,1,2,5,4,7,8,3]=>{{1,6,7,8},{2},{3},{4,5}}=>{{1,2,3,8},{4,5},{6},{7}}
[4,3,6,8,1,7,2,5]=>[4,6,3,8,1,2,7,5]=>{{1,4,8},{2,6},{3},{5},{7}}=>{{1,5,8},{2},{3,7},{4},{6}}
[1,5,8,4,3,6,7,2]=>[5,1,4,8,3,2,6,7]=>{{1,5},{2},{3,4,8},{6},{7}}=>{{1,5,6},{2},{3},{4,8},{7}}
[2,5,4,1,6,7,3,8]=>[2,5,1,6,7,4,3,8]=>{{1,2,5,7},{3},{4,6},{8}}=>{{1},{2,4,7,8},{3,5},{6}}
[5,6,3,2,7,1,4,8]=>[5,6,7,3,4,2,1,8]=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1},{2,6},{3,7},{4,8},{5}}
[3,5,2,1,6,4,7,8]=>[3,5,6,2,7,4,1,8]=>{{1,3,6},{2,5,7},{4},{8}}=>{{1},{2,4,7},{3,6,8},{5}}
[3,2,6,1,7,4,5,8]=>[3,6,7,2,8,4,5,1]=>{{1,3,7},{2,6},{4},{5,8}}=>{{1,4},{2,6,8},{3,7},{5}}
[2,5,8,4,1,3,7,6]=>[5,2,4,8,7,1,3,6]=>{{1,5,7},{2},{3,4,8},{6}}=>{{1,5,6},{2,4,8},{3},{7}}
[3,6,8,2,1,7,4,5]=>[3,6,2,8,7,1,4,5]=>{{1,3},{2,6},{4,8},{5,7}}=>{{1,5},{2,4},{3,7},{6,8}}
[8,3,5,2,1,4,7,6]=>[3,2,5,8,7,4,6,1]=>{{1,3,5,7},{2},{4,8},{6}}=>{{1,5},{2,4,6,8},{3},{7}}
[1,8,9,7,6,5,4,3,2]=>[8,7,6,5,4,3,1,2,9]=>{{1,8},{2,7},{3,6},{4,5},{9}}=>{{1},{2,9},{3,8},{4,7},{5,6}}
[5,4,1,6,2,3,8,7]=>[5,1,2,6,4,8,7,3]=>{{1,5},{2},{3},{4,6,8},{7}}=>{{1,3,5},{2},{4,8},{6},{7}}
[2,7,6,5,1,8,4,3]=>[7,2,1,6,5,4,3,8]=>{{1,7},{2},{3},{4,6},{5},{8}}=>{{1},{2,8},{3,5},{4},{6},{7}}
[2,3,4,8,7,6,1,5]=>[2,8,7,6,1,3,4,5]=>{{1,2,8},{3,7},{4,6},{5}}=>{{1,7,8},{2,6},{3,5},{4}}
[2,3,4,8,5,7,1,6]=>[2,8,1,7,3,4,5,6]=>{{1,2,8},{3},{4,7},{5},{6}}=>{{1,7,8},{2,5},{3},{4},{6}}
[5,7,1,6,3,8,2,4]=>[5,7,1,6,3,8,2,4]=>{{1,5},{2,7},{3},{4,6,8}}=>{{1,3,5},{2,7},{4,8},{6}}
[7,4,1,5,8,2,3,6]=>[1,4,7,2,5,8,6,3]=>{{1},{2,4},{3,7},{5},{6,8}}=>{{1,3},{2,6},{4},{5,7},{8}}
[2,1,4,5,8,6,3,7]=>[2,8,4,1,5,6,7,3]=>{{1,2,8},{3,4},{5},{6},{7}}=>{{1,7,8},{2},{3},{4},{5,6}}
[2,3,4,8,7,1,6,5]=>[8,2,7,6,1,3,4,5]=>{{1,8},{2},{3,7},{4,6},{5}}=>{{1,8},{2,6},{3,5},{4},{7}}
[2,3,4,8,1,7,6,5]=>[8,7,2,6,1,3,4,5]=>{{1,8},{2,7},{3},{4,6},{5}}=>{{1,8},{2,7},{3,5},{4},{6}}
[2,3,4,8,5,1,7,6]=>[2,1,8,7,3,4,5,6]=>{{1,2},{3,8},{4,7},{5},{6}}=>{{1,6},{2,5},{3},{4},{7,8}}
[1,8,6,7,2,5,3,4]=>[1,8,6,7,2,5,3,4]=>{{1},{2,8},{3,6},{4,7},{5}}=>{{1,7},{2,5},{3,6},{4},{8}}
[1,8,5,7,2,6,3,4]=>[1,8,5,7,2,6,3,4]=>{{1},{2,8},{3,5},{4,7},{6}}=>{{1,7},{2,5},{3},{4,6},{8}}
[5,8,2,7,1,6,3,4]=>[2,8,5,7,3,6,1,4]=>{{1,2,8},{3,5},{4,7},{6}}=>{{1,7,8},{2,5},{3},{4,6}}
[2,8,6,7,1,5,3,4]=>[2,8,6,7,1,5,3,4]=>{{1,2,8},{3,6},{4,7},{5}}=>{{1,7,8},{2,5},{3,6},{4}}
[2,8,5,7,1,6,3,4]=>[2,8,5,7,1,6,3,4]=>{{1,2,8},{3,5},{4,7},{6}}=>{{1,7,8},{2,5},{3},{4,6}}
[2,8,1,7,5,6,3,4]=>[2,8,1,7,5,6,3,4]=>{{1,2,8},{3},{4,7},{5},{6}}=>{{1,7,8},{2,5},{3},{4},{6}}
[1,8,2,7,5,6,3,4]=>[5,8,1,7,2,6,3,4]=>{{1,5},{2,8},{3},{4,7},{6}}=>{{1,7},{2,5},{3},{4,8},{6}}
[1,8,2,7,4,6,3,5]=>[4,8,1,7,2,6,3,5]=>{{1,4,7},{2,8},{3},{5},{6}}=>{{1,7},{2,5,8},{3},{4},{6}}
[2,8,1,7,4,6,3,5]=>[2,8,1,7,4,6,3,5]=>{{1,2,8},{3},{4,7},{5},{6}}=>{{1,7,8},{2,5},{3},{4},{6}}
[2,8,4,7,1,6,3,5]=>[2,8,4,7,1,6,3,5]=>{{1,2,8},{3,4,7},{5},{6}}=>{{1,7,8},{2,5,6},{3},{4}}
[4,8,2,7,1,6,3,5]=>[2,8,4,7,3,6,1,5]=>{{1,2,8},{3,4,7},{5},{6}}=>{{1,7,8},{2,5,6},{3},{4}}
[1,8,4,7,2,6,3,5]=>[1,8,4,7,2,6,3,5]=>{{1},{2,8},{3,4,7},{5},{6}}=>{{1,7},{2,5,6},{3},{4},{8}}
[4,8,1,7,5,6,2,3]=>[4,8,1,7,5,6,2,3]=>{{1,4,7},{2,8},{3},{5},{6}}=>{{1,7},{2,5,8},{3},{4},{6}}
[1,8,4,7,5,6,2,3]=>[4,8,1,7,2,5,3,6]=>{{1,4,7},{2,8},{3},{5},{6}}=>{{1,7},{2,5,8},{3},{4},{6}}
[3,8,1,7,5,6,2,4]=>[3,8,1,7,5,6,2,4]=>{{1,3},{2,8},{4,7},{5},{6}}=>{{1,7},{2,5},{3},{4},{6,8}}
[3,8,1,7,4,6,2,5]=>[3,8,1,7,4,6,2,5]=>{{1,3},{2,8},{4,7},{5},{6}}=>{{1,7},{2,5},{3},{4},{6,8}}
[1,8,3,7,4,6,2,5]=>[3,8,1,7,2,6,4,5]=>{{1,3},{2,8},{4,7},{5},{6}}=>{{1,7},{2,5},{3},{4},{6,8}}
[3,8,2,7,1,6,4,5]=>[3,8,4,7,2,6,1,5]=>{{1,3,4,7},{2,8},{5},{6}}=>{{1,7},{2,5,6,8},{3},{4}}
[3,8,2,7,4,6,1,5]=>[3,8,2,7,4,6,1,5]=>{{1,3},{2,8},{4,7},{5},{6}}=>{{1,7},{2,5},{3},{4},{6,8}}
[3,8,2,7,5,6,1,4]=>[3,8,2,7,5,6,1,4]=>{{1,3},{2,8},{4,7},{5},{6}}=>{{1,7},{2,5},{3},{4},{6,8}}
[4,8,2,7,5,6,1,3]=>[4,8,2,7,5,6,1,3]=>{{1,4,7},{2,8},{3},{5},{6}}=>{{1,7},{2,5,8},{3},{4},{6}}
[4,8,3,7,5,6,1,2]=>[4,8,3,7,5,6,1,2]=>{{1,4,7},{2,8},{3},{5},{6}}=>{{1,7},{2,5,8},{3},{4},{6}}
[2,8,3,7,5,6,1,4]=>[2,8,1,7,3,5,4,6]=>{{1,2,8},{3},{4,7},{5},{6}}=>{{1,7,8},{2,5},{3},{4},{6}}
[2,8,3,7,4,6,1,5]=>[2,8,1,7,3,6,4,5]=>{{1,2,8},{3},{4,7},{5},{6}}=>{{1,7,8},{2,5},{3},{4},{6}}
[2,8,3,7,1,6,4,5]=>[2,8,3,7,1,6,4,5]=>{{1,2,8},{3},{4,7},{5},{6}}=>{{1,7,8},{2,5},{3},{4},{6}}
[2,8,1,7,3,6,4,5]=>[2,8,3,7,4,6,1,5]=>{{1,2,8},{3},{4,7},{5},{6}}=>{{1,7,8},{2,5},{3},{4},{6}}
[7,5,1,8,6,2,3,4]=>[1,2,7,5,3,8,6,4]=>{{1},{2},{3,7},{4,5},{6,8}}=>{{1,3},{2,6},{4,5},{7},{8}}
[7,1,8,4,5,2,6,3]=>[7,1,8,4,5,2,6,3]=>{{1,7},{2},{3,8},{4},{5},{6}}=>{{1,6},{2,8},{3},{4},{5},{7}}
[1,6,7,4,2,8,5,3]=>[6,4,1,7,5,2,3,8]=>{{1,6},{2,4,7},{3},{5},{8}}=>{{1},{2,5,7},{3,8},{4},{6}}
[7,1,8,3,5,6,2,4]=>[7,8,1,3,5,2,6,4]=>{{1,7},{2,8},{3},{4},{5},{6}}=>{{1,7},{2,8},{3},{4},{5},{6}}
[7,3,8,6,2,5,1,4]=>[7,8,3,6,2,1,5,4]=>{{1,7},{2,8},{3},{4,6},{5}}=>{{1,7},{2,8},{3,5},{4},{6}}
[7,4,2,8,6,1,3,5]=>[2,7,8,4,3,6,5,1]=>{{1,2,7},{3,8},{4},{5},{6}}=>{{1,6},{2,7,8},{3},{4},{5}}
[7,3,1,8,4,2,5,6]=>[3,4,7,5,1,8,6,2]=>{{1,3,7},{2,4,5},{6,8}}=>{{1,3},{2,6,8},{4,5,7}}
[7,2,8,3,5,1,6,4]=>[7,2,8,3,5,1,6,4]=>{{1,7},{2},{3,8},{4},{5},{6}}=>{{1,6},{2,8},{3},{4},{5},{7}}
[7,2,8,3,4,6,1,5]=>[7,8,2,3,4,1,6,5]=>{{1,7},{2,8},{3},{4},{5},{6}}=>{{1,7},{2,8},{3},{4},{5},{6}}
[1,5,7,8,2,6,3,4]=>[5,7,6,8,1,2,3,4]=>{{1,5},{2,7},{3,6},{4,8}}=>{{1,5},{2,7},{3,6},{4,8}}
[4,8,2,3,6,1,7,5]=>[4,2,8,3,6,7,1,5]=>{{1,4},{2},{3,8},{5,6,7}}=>{{1,6},{2,3,4},{5,8},{7}}
[4,8,2,3,5,7,1,6]=>[4,8,2,3,5,7,1,6]=>{{1,4},{2,8},{3},{5},{6,7}}=>{{1,7},{2,3},{4},{5,8},{6}}
[1,4,7,8,3,6,2,5]=>[4,7,3,6,1,2,5,8]=>{{1,4,6},{2,7},{3},{5},{8}}=>{{1},{2,7},{3,5,8},{4},{6}}
[4,8,1,3,6,7,2,5]=>[4,8,1,3,6,7,2,5]=>{{1,4},{2,8},{3},{5,6,7}}=>{{1,7},{2,3,4},{5,8},{6}}
[6,4,2,8,1,3,7,5]=>[6,2,4,8,3,7,5,1]=>{{1,6,7},{2},{3,4,8},{5}}=>{{1,5,6},{2,3,8},{4},{7}}
[5,3,1,6,4,2,7,8]=>[5,6,7,3,1,8,4,2]=>{{1,5},{2,6,8},{3,7},{4}}=>{{1,3,7},{2,6},{4,8},{5}}
[3,5,6,1,2,8,7,4]=>[8,3,1,5,6,2,4,7]=>{{1,8},{2,3},{4,5,6},{7}}=>{{1,8},{2},{3,4,5},{6,7}}
[3,4,5,8,2,7,1,6]=>[3,8,2,7,1,4,5,6]=>{{1,3},{2,8},{4,7},{5},{6}}=>{{1,7},{2,5},{3},{4},{6,8}}
[5,3,6,8,4,7,2,1]=>[5,3,2,6,1,4,8,7]=>{{1,5},{2,3},{4,6},{7,8}}=>{{1,2},{3,5},{4,8},{6,7}}
[3,7,2,5,4,8,6,1]=>[7,3,2,5,4,8,1,6]=>{{1,7},{2,3},{4,5},{6,8}}=>{{1,3},{2,8},{4,5},{6,7}}
[8,4,2,5,7,3,6,1]=>[8,4,5,2,3,7,6,1]=>{{1,8},{2,4},{3,5},{6,7}}=>{{1,8},{2,3},{4,6},{5,7}}
[3,1,6,5,4,8,2,7]=>[3,6,1,5,4,2,8,7]=>{{1,3},{2,6},{4,5},{7,8}}=>{{1,2},{3,7},{4,5},{6,8}}
[4,1,6,5,8,3,2,7]=>[4,6,5,1,3,2,8,7]=>{{1,4},{2,6},{3,5},{7,8}}=>{{1,2},{3,7},{4,6},{5,8}}
[5,1,6,8,4,3,2,7]=>[5,6,4,3,1,2,8,7]=>{{1,5},{2,6},{3,4},{7,8}}=>{{1,2},{3,7},{4,8},{5,6}}
[8,5,4,7,6,3,2,1]=>[8,5,4,3,2,7,6,1]=>{{1,8},{2,5},{3,4},{6,7}}=>{{1,8},{2,3},{4,7},{5,6}}
[2,7,1,5,4,3,8,6]=>[2,1,7,5,4,8,3,6]=>{{1,2},{3,7},{4,5},{6,8}}=>{{1,3},{2,6},{4,5},{7,8}}
[8,2,1,5,4,3,7,6]=>[2,1,8,5,4,7,6,3]=>{{1,2},{3,8},{4,5},{6,7}}=>{{1,6},{2,3},{4,5},{7,8}}
[8,4,1,5,7,3,2,6]=>[4,8,5,1,3,7,6,2]=>{{1,4},{2,8},{3,5},{6,7}}=>{{1,7},{2,3},{4,6},{5,8}}
[8,4,6,1,7,3,2,5]=>[4,8,6,1,7,3,5,2]=>{{1,4},{2,8},{3,6},{5,7}}=>{{1,7},{2,4},{3,6},{5,8}}
[8,3,6,1,4,7,2,5]=>[3,8,1,6,7,4,5,2]=>{{1,3},{2,8},{4,6},{5,7}}=>{{1,7},{2,4},{3,5},{6,8}}
[2,7,6,1,4,3,8,5]=>[2,1,7,6,8,4,3,5]=>{{1,2},{3,7},{4,6},{5,8}}=>{{1,4},{2,6},{3,5},{7,8}}
[6,7,8,5,1,3,2,4]=>[6,7,5,8,3,1,2,4]=>{{1,6},{2,7},{3,5},{4,8}}=>{{1,5},{2,7},{3,8},{4,6}}
[5,7,2,8,4,3,6,1]=>[5,4,7,2,1,8,3,6]=>{{1,5},{2,4},{3,7},{6,8}}=>{{1,3},{2,6},{4,8},{5,7}}
[6,7,8,2,4,3,5,1]=>[6,4,7,2,8,1,3,5]=>{{1,6},{2,4},{3,7},{5,8}}=>{{1,4},{2,6},{3,8},{5,7}}
[4,7,6,2,8,3,5,1]=>[7,4,6,2,8,3,1,5]=>{{1,7},{2,4},{3,6},{5,8}}=>{{1,4},{2,8},{3,6},{5,7}}
[8,3,6,2,4,7,5,1]=>[8,3,2,6,7,4,5,1]=>{{1,8},{2,3},{4,6},{5,7}}=>{{1,8},{2,4},{3,5},{6,7}}
[3,7,6,2,4,8,5,1]=>[7,3,2,6,8,4,1,5]=>{{1,7},{2,3},{4,6},{5,8}}=>{{1,4},{2,8},{3,5},{6,7}}
[5,7,3,8,4,6,2,1]=>[5,3,2,7,1,8,4,6]=>{{1,5},{2,3},{4,7},{6,8}}=>{{1,3},{2,5},{4,8},{6,7}}
[4,7,3,5,8,6,2,1]=>[4,3,2,1,7,8,5,6]=>{{1,4},{2,3},{5,7},{6,8}}=>{{1,3},{2,4},{5,8},{6,7}}
[8,7,2,1,4,3,6,5]=>[2,1,4,3,8,7,6,5]=>{{1,2},{3,4},{5,8},{6,7}}=>{{1,4},{2,3},{5,6},{7,8}}
[8,7,3,1,4,6,2,5]=>[3,4,1,2,8,7,6,5]=>{{1,3},{2,4},{5,8},{6,7}}=>{{1,4},{2,3},{5,7},{6,8}}
[8,7,6,3,2,5,4,1]=>[8,3,2,7,6,5,4,1]=>{{1,8},{2,3},{4,7},{5,6}}=>{{1,8},{2,5},{3,4},{6,7}}
[8,7,3,5,1,6,2,4]=>[3,5,1,8,2,7,6,4]=>{{1,3},{2,5},{4,8},{6,7}}=>{{1,5},{2,3},{4,7},{6,8}}
[8,7,2,5,1,3,6,4]=>[2,1,5,8,3,7,6,4]=>{{1,2},{3,5},{4,8},{6,7}}=>{{1,5},{2,3},{4,6},{7,8}}
[8,4,6,5,7,1,2,3]=>[4,6,8,1,7,2,5,3]=>{{1,4},{2,6},{3,8},{5,7}}=>{{1,6},{2,4},{3,7},{5,8}}
[4,7,6,5,8,1,2,3]=>[4,7,8,1,6,5,2,3]=>{{1,4},{2,7},{3,8},{5,6}}=>{{1,6},{2,7},{3,4},{5,8}}
[3,7,6,5,1,8,2,4]=>[3,7,1,8,6,5,2,4]=>{{1,3},{2,7},{4,8},{5,6}}=>{{1,5},{2,7},{3,4},{6,8}}
[8,1,2,3,4,5,6,7,9]=>[1,2,3,4,5,6,8,9,7]=>{{1},{2},{3},{4},{5},{6},{7,8,9}}=>{{1,2,3},{4},{5},{6},{7},{8},{9}}
[1,9,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,9,7,8]=>{{1},{2},{3},{4},{5},{6},{7,9},{8}}=>{{1,3},{2},{4},{5},{6},{7},{8},{9}}
[9,1,2,3,4,5,6,7,8,10]=>[1,2,3,4,5,6,7,9,10,8]=>{{1},{2},{3},{4},{5},{6},{7},{8,9,10}}=>{{1,2,3},{4},{5},{6},{7},{8},{9},{10}}
[1,4,7,2,5,8,6,3]=>[7,4,1,5,8,2,3,6]=>{{1,7},{2,4,5,8},{3},{6}}=>{{1,4,5,7},{2,8},{3},{6}}
[7,3,8,4,5,6,1,2]=>[7,8,3,4,5,1,6,2]=>{{1,7},{2,8},{3},{4},{5},{6}}=>{{1,7},{2,8},{3},{4},{5},{6}}
[1,6,5,4,2,8,7,3]=>[6,5,1,8,7,4,2,3]=>{{1,6},{2,5,7},{3},{4,8}}=>{{1,5},{2,4,7},{3,8},{6}}
[7,8,1,4,2,6,5,3]=>[7,6,1,8,4,5,2,3]=>{{1,7},{2,6},{3},{4,8},{5}}=>{{1,5},{2,8},{3,7},{4},{6}}
[5,8,3,6,1,4,2,7]=>[5,8,6,7,3,4,1,2]=>{{1,5},{2,8},{3,6},{4,7}}=>{{1,7},{2,5},{3,6},{4,8}}
[2,5,8,6,4,1,3,7]=>[2,5,8,6,4,1,3,7]=>{{1,2,5},{3,8},{4,6},{7}}=>{{1,6},{2},{3,5},{4,7,8}}
[1,6,8,7,4,2,3,5]=>[1,6,8,7,4,2,3,5]=>{{1},{2,6},{3,8},{4,7},{5}}=>{{1,6},{2,5},{3,7},{4},{8}}
[7,2,1,4,5,6,8,3]=>[2,1,4,5,7,8,6,3]=>{{1,2},{3,4,5,7},{6,8}}=>{{1,3},{2,4,5,6},{7,8}}
[6,1,3,2,7,5,8,4]=>[6,1,3,2,7,5,8,4]=>{{1,6},{2},{3},{4},{5,7,8}}=>{{1,2,4},{3,8},{5},{6},{7}}
[7,5,8,4,1,2,3,6]=>[1,2,7,8,5,4,6,3]=>{{1},{2},{3,7},{4,8},{5},{6}}=>{{1,5},{2,6},{3},{4},{7},{8}}
[5,8,7,4,1,3,2,6]=>[1,8,5,7,4,3,2,6]=>{{1},{2,8},{3,5},{4,7},{6}}=>{{1,7},{2,5},{3},{4,6},{8}}
[2,6,4,5,3,8,1,7]=>[6,8,2,4,3,5,1,7]=>{{1,6},{2,8},{3},{4},{5},{7}}=>{{1,7},{2},{3,8},{4},{5},{6}}
[6,1,4,2,8,5,7,3]=>[6,1,4,2,8,5,7,3]=>{{1,6},{2},{3,4},{5,8},{7}}=>{{1,4},{2},{3,8},{5,6},{7}}
[8,1,2,5,6,3,7,4]=>[5,1,8,2,3,6,7,4]=>{{1,5},{2},{3,8},{4},{6},{7}}=>{{1,6},{2},{3},{4,8},{5},{7}}
[5,1,8,6,2,7,3,4]=>[1,5,2,8,6,3,7,4]=>{{1},{2,5,6},{3},{4,8},{7}}=>{{1,5},{2},{3,4,7},{6},{8}}
[8,6,1,5,7,2,3,4]=>[1,6,8,2,3,7,5,4]=>{{1},{2,6,7},{3,8},{4},{5}}=>{{1,6},{2,3,7},{4},{5},{8}}
[3,8,6,5,7,1,2,4]=>[3,6,8,1,7,5,2,4]=>{{1,3,8},{2,6},{4},{5,7}}=>{{1,6,8},{2,4},{3,7},{5}}
[5,1,7,6,8,4,2,3]=>[5,7,6,1,4,2,8,3]=>{{1,5},{2,7,8},{3,6},{4}}=>{{1,2,7},{3,6},{4,8},{5}}
[1,2,8,6,5,7,3,4]=>[6,8,1,7,5,2,3,4]=>{{1,6},{2,8},{3},{4,7},{5}}=>{{1,7},{2,5},{3,8},{4},{6}}
[6,1,3,5,4,7,8,2]=>[6,1,3,5,4,7,8,2]=>{{1,6,7,8},{2},{3},{4,5}}=>{{1,2,3,8},{4,5},{6},{7}}
[5,8,1,6,3,7,2,4]=>[5,8,1,6,3,7,2,4]=>{{1,5},{2,8},{3},{4,6,7}}=>{{1,7},{2,3,5},{4,8},{6}}
[1,7,6,5,4,2,8,3]=>[7,1,8,6,5,4,2,3]=>{{1,7},{2},{3,8},{4,6},{5}}=>{{1,6},{2,8},{3,5},{4},{7}}
[5,7,6,1,4,2,8,3]=>[5,1,7,6,8,4,2,3]=>{{1,5,8},{2},{3,7},{4,6}}=>{{1,4,8},{2,6},{3,5},{7}}
[7,1,4,2,6,5,8,3]=>[7,1,4,2,6,5,8,3]=>{{1,7,8},{2},{3,4},{5,6}}=>{{1,2,8},{3,4},{5,6},{7}}
[3,8,1,6,5,7,2,4]=>[3,8,1,6,5,7,2,4]=>{{1,3},{2,8},{4,6,7},{5}}=>{{1,7},{2,3,5},{4},{6,8}}
[6,1,3,4,5,7,8,2]=>[6,1,3,4,5,7,8,2]=>{{1,6,7,8},{2},{3},{4},{5}}=>{{1,2,3,8},{4},{5},{6},{7}}
[7,2,6,4,5,1,8,3]=>[2,1,7,4,6,5,8,3]=>{{1,2},{3,7,8},{4},{5,6}}=>{{1,2,6},{3,4},{5},{7,8}}
[3,4,7,8,5,6,1,2]=>[7,8,3,4,1,2,5,6]=>{{1,7},{2,8},{3},{4},{5},{6}}=>{{1,7},{2,8},{3},{4},{5},{6}}
[6,8,3,4,5,7,1,2]=>[6,8,3,4,5,7,1,2]=>{{1,6,7},{2,8},{3},{4},{5}}=>{{1,7},{2,3,8},{4},{5},{6}}
[3,2,7,6,5,1,4,8]=>[3,7,8,6,2,1,5,4]=>{{1,3,8},{2,7},{4,6},{5}}=>{{1,6,8},{2,7},{3,5},{4}}
[1,2,7,6,5,8,3,4]=>[7,8,1,6,5,2,3,4]=>{{1,7},{2,8},{3},{4,6},{5}}=>{{1,7},{2,8},{3,5},{4},{6}}
[4,8,2,6,1,5,3,7]=>[4,8,6,7,2,5,1,3]=>{{1,4,7},{2,8},{3,6},{5}}=>{{1,7},{2,5,8},{3,6},{4}}
[2,3,8,6,4,1,5,7]=>[2,3,8,6,4,1,5,7]=>{{1,2,3,8},{4,6},{5},{7}}=>{{1,6,7,8},{2},{3,5},{4}}
[7,8,3,2,5,1,4,6]=>[3,7,8,5,6,2,1,4]=>{{1,3,8},{2,7},{4,5,6}}=>{{1,6,8},{2,7},{3,4,5}}
[7,8,1,2,5,6,3,4]=>[7,8,1,2,5,6,3,4]=>{{1,7},{2,8},{3},{4},{5},{6}}=>{{1,7},{2,8},{3},{4},{5},{6}}
[6,1,2,5,8,7,3,4]=>[6,8,5,1,2,3,7,4]=>{{1,6},{2,8},{3,5},{4},{7}}=>{{1,7},{2},{3,8},{4,6},{5}}
[1,8,3,6,7,4,5,2]=>[8,6,7,1,3,4,2,5]=>{{1,8},{2,6},{3,7},{4},{5}}=>{{1,8},{2,6},{3,7},{4},{5}}
[7,1,5,8,3,6,2,4]=>[7,8,5,6,1,3,4,2]=>{{1,7},{2,8},{3,5},{4,6}}=>{{1,7},{2,8},{3,5},{4,6}}
[6,1,5,7,4,2,8,3]=>[6,1,7,5,2,4,8,3]=>{{1,6},{2},{3,7,8},{4,5}}=>{{1,2,6},{3,8},{4,5},{7}}
[3,1,6,4,7,2,5,8]=>[3,6,7,1,4,2,8,5]=>{{1,3,7,8},{2,6},{4},{5}}=>{{1,2,6,8},{3,7},{4},{5}}
[6,5,7,1,4,2,3,8]=>[1,6,7,5,8,2,4,3]=>{{1},{2,6},{3,7},{4,5,8}}=>{{1,4,5},{2,6},{3,7},{8}}
[1,2,7,8,5,4,3,6]=>[7,8,5,4,1,2,3,6]=>{{1,7},{2,8},{3,5},{4},{6}}=>{{1,7},{2,8},{3},{4,6},{5}}
[2,8,1,4,5,6,3,7]=>[2,8,4,5,6,7,1,3]=>{{1,2,8},{3,4,5,6,7}}=>{{1,7,8},{2,3,4,5,6}}
[4,2,6,1,8,5,3,7]=>[4,6,2,1,8,5,7,3]=>{{1,4},{2,6},{3},{5,8},{7}}=>{{1,4},{2},{3,7},{5,8},{6}}
[6,8,1,7,5,2,3,4]=>[1,2,8,6,5,7,3,4]=>{{1},{2},{3,8},{4,6,7},{5}}=>{{1,6},{2,3,5},{4},{7},{8}}
[7,6,1,8,5,3,2,4]=>[1,7,6,5,3,8,4,2]=>{{1},{2,7},{3,6,8},{4,5}}=>{{1,3,6},{2,7},{4,5},{8}}
[3,1,7,5,6,4,8,2]=>[7,3,5,4,6,1,8,2]=>{{1,7,8},{2,3,5,6},{4}}=>{{1,2,8},{3,4,6,7},{5}}
[7,1,8,6,5,4,2,3]=>[1,7,6,5,4,2,8,3]=>{{1},{2,7,8},{3,6},{4,5}}=>{{1,2,7},{3,6},{4,5},{8}}
[8,1,6,5,7,2,4,3]=>[8,6,7,1,5,2,4,3]=>{{1,8},{2,6},{3,7},{4},{5}}=>{{1,8},{2,6},{3,7},{4},{5}}
[3,7,4,1,8,5,2,6]=>[3,7,4,1,8,5,2,6]=>{{1,3,4},{2,7},{5,8},{6}}=>{{1,4},{2,7},{3},{5,6,8}}
[8,4,2,1,7,3,6,5]=>[4,2,3,1,8,7,6,5]=>{{1,4},{2},{3},{5,8},{6,7}}=>{{1,4},{2,3},{5,8},{6},{7}}
[5,4,2,8,7,3,6,1]=>[5,2,4,3,1,8,7,6]=>{{1,5},{2},{3,4},{6,8},{7}}=>{{1,3},{2},{4,8},{5,6},{7}}
[6,2,5,8,7,3,4,1]=>[6,5,8,2,1,3,7,4]=>{{1,6},{2,5},{3,8},{4},{7}}=>{{1,6},{2},{3,8},{4,7},{5}}
[3,2,8,5,7,4,6,1]=>[8,3,5,2,4,1,7,6]=>{{1,8},{2,3,5},{4},{6},{7}}=>{{1,8},{2},{3},{4,6,7},{5}}
[2,1,8,7,4,6,3,5]=>[2,8,1,7,4,3,6,5]=>{{1,2,8},{3},{4,7},{5},{6}}=>{{1,7,8},{2,5},{3},{4},{6}}
[6,2,1,4,3,5,8,7]=>[2,1,4,6,5,8,7,3]=>{{1,2},{3,4,6,8},{5},{7}}=>{{1,3,5,6},{2},{4},{7,8}}
[6,2,1,4,3,8,5,7]=>[2,4,1,6,5,8,7,3]=>{{1,2,4,6,8},{3},{5},{7}}=>{{1,3,5,7,8},{2},{4},{6}}
[8,2,1,4,3,6,5,7]=>[2,4,1,6,3,8,7,5]=>{{1,2,4,6,8},{3},{5},{7}}=>{{1,3,5,7,8},{2},{4},{6}}
[8,2,4,1,3,6,5,7]=>[2,4,1,6,8,3,7,5]=>{{1,2,4,6},{3},{5,8},{7}}=>{{1,4},{2},{3,5,7,8},{6}}
[6,2,4,1,3,8,5,7]=>[2,4,1,6,8,5,7,3]=>{{1,2,4,6},{3},{5,8},{7}}=>{{1,4},{2},{3,5,7,8},{6}}
[6,2,4,1,3,5,8,7]=>[2,1,4,6,8,5,7,3]=>{{1,2},{3,4,6},{5,8},{7}}=>{{1,4},{2},{3,5,6},{7,8}}
[2,1,6,4,3,5,8,7]=>[2,1,4,6,5,3,8,7]=>{{1,2},{3,4,6},{5},{7,8}}=>{{1,2},{3,5,6},{4},{7,8}}
[2,6,1,4,3,5,8,7]=>[2,1,4,6,5,8,3,7]=>{{1,2},{3,4,6,8},{5},{7}}=>{{1,3,5,6},{2},{4},{7,8}}
[2,6,4,1,3,5,8,7]=>[2,1,4,6,8,5,3,7]=>{{1,2},{3,4,6},{5,8},{7}}=>{{1,4},{2},{3,5,6},{7,8}}
[4,6,2,1,8,3,5,7]=>[2,4,6,3,8,5,1,7]=>{{1,2,4},{3,6},{5,8},{7}}=>{{1,4},{2},{3,6},{5,7,8}}
[2,6,1,4,3,8,5,7]=>[2,4,1,6,5,8,3,7]=>{{1,2,4,6,8},{3},{5},{7}}=>{{1,3,5,7,8},{2},{4},{6}}
[2,1,6,4,3,8,5,7]=>[2,4,1,6,5,3,8,7]=>{{1,2,4,6},{3},{5},{7,8}}=>{{1,2},{3,5,7,8},{4},{6}}
[2,8,4,1,3,6,5,7]=>[2,4,1,6,8,7,3,5]=>{{1,2,4,6,7},{3},{5,8}}=>{{1,4},{2,3,5,7,8},{6}}
[2,1,6,4,8,3,5,7]=>[2,4,6,1,5,3,8,7]=>{{1,2,4},{3,6},{5},{7,8}}=>{{1,2},{3,6},{4},{5,7,8}}
[2,6,1,4,8,3,5,7]=>[2,4,6,1,5,8,3,7]=>{{1,2,4},{3,6,8},{5},{7}}=>{{1,3,6},{2},{4},{5,7,8}}
[2,6,4,1,8,3,5,7]=>[2,4,6,1,8,5,3,7]=>{{1,2,4},{3,6},{5,8},{7}}=>{{1,4},{2},{3,6},{5,7,8}}
[2,6,4,8,1,3,5,7]=>[2,4,6,8,1,5,3,7]=>{{1,2,4,8},{3,6},{5},{7}}=>{{1,5,7,8},{2},{3,6},{4}}
[4,6,2,8,1,3,5,7]=>[2,4,6,8,3,5,1,7]=>{{1,2,4,8},{3,6},{5},{7}}=>{{1,5,7,8},{2},{3,6},{4}}
[4,2,6,1,3,8,5,7]=>[2,4,3,6,8,5,7,1]=>{{1,2,4,6},{3},{5,8},{7}}=>{{1,4},{2},{3,5,7,8},{6}}
[4,2,6,1,8,3,5,7]=>[2,4,6,3,8,5,7,1]=>{{1,2,4},{3,6},{5,8},{7}}=>{{1,4},{2},{3,6},{5,7,8}}
[6,2,4,1,8,3,5,7]=>[2,4,6,1,8,5,7,3]=>{{1,2,4},{3,6},{5,8},{7}}=>{{1,4},{2},{3,6},{5,7,8}}
[8,2,4,1,6,3,5,7]=>[2,4,6,1,8,3,7,5]=>{{1,2,4},{3,6},{5,8},{7}}=>{{1,4},{2},{3,6},{5,7,8}}
[8,2,1,4,6,3,5,7]=>[2,4,6,1,3,8,7,5]=>{{1,2,4},{3,6,8},{5},{7}}=>{{1,3,6},{2},{4},{5,7,8}}
[6,2,1,4,8,3,5,7]=>[2,4,6,1,5,8,7,3]=>{{1,2,4},{3,6,8},{5},{7}}=>{{1,3,6},{2},{4},{5,7,8}}
[4,2,1,6,8,3,5,7]=>[2,4,6,3,5,8,7,1]=>{{1,2,4},{3,6,8},{5},{7}}=>{{1,3,6},{2},{4},{5,7,8}}
[4,2,1,6,3,8,5,7]=>[2,4,3,6,5,8,7,1]=>{{1,2,4,6,8},{3},{5},{7}}=>{{1,3,5,7,8},{2},{4},{6}}
[2,1,4,3,8,6,5,7]=>[2,8,4,1,6,3,7,5]=>{{1,2,8},{3,4},{5,6},{7}}=>{{1,7,8},{2},{3,4},{5,6}}
[2,4,1,3,8,6,5,7]=>[2,8,4,1,6,7,3,5]=>{{1,2,8},{3,4},{5,6,7}}=>{{1,7,8},{2,3,4},{5,6}}
[4,2,1,3,8,6,5,7]=>[2,4,3,1,6,8,7,5]=>{{1,2,4},{3},{5,6,8},{7}}=>{{1,3,4},{2},{5,7,8},{6}}
[4,2,1,8,3,6,5,7]=>[2,4,3,6,1,8,7,5]=>{{1,2,4,6,8},{3},{5},{7}}=>{{1,3,5,7,8},{2},{4},{6}}
[4,2,1,8,6,3,5,7]=>[2,4,6,3,1,8,7,5]=>{{1,2,4},{3,6,8},{5},{7}}=>{{1,3,6},{2},{4},{5,7,8}}
[8,2,1,6,4,3,5,7]=>[2,4,8,6,1,7,5,3]=>{{1,2,4,6,7},{3,8},{5}}=>{{1,6},{2,3,5,7,8},{4}}
[4,2,8,1,6,3,5,7]=>[2,4,6,3,8,1,7,5]=>{{1,2,4},{3,6},{5,8},{7}}=>{{1,4},{2},{3,6},{5,7,8}}
[4,2,8,1,3,6,5,7]=>[2,4,3,6,8,1,7,5]=>{{1,2,4,6},{3},{5,8},{7}}=>{{1,4},{2},{3,5,7,8},{6}}
[2,4,1,8,3,6,5,7]=>[2,8,4,6,1,7,3,5]=>{{1,2,8},{3,4,6,7},{5}}=>{{1,7,8},{2,3,5,6},{4}}
[4,2,8,6,1,3,5,7]=>[2,4,6,8,3,1,7,5]=>{{1,2,4,8},{3,6},{5},{7}}=>{{1,5,7,8},{2},{3,6},{4}}
[4,6,8,2,1,3,5,7]=>[2,4,6,8,3,1,5,7]=>{{1,2,4,8},{3,6},{5},{7}}=>{{1,5,7,8},{2},{3,6},{4}}
[3,2,6,1,5,4,8,7]=>[3,2,6,5,8,1,7,4]=>{{1,3,6},{2},{4,5,8},{7}}=>{{1,4,5},{2},{3,6,8},{7}}
[4,3,6,1,5,2,8,7]=>[4,3,6,5,8,1,7,2]=>{{1,4,5,8},{2,3,6},{7}}=>{{1,4,5,8},{2},{3,6,7}}
[4,3,8,1,7,2,6,5]=>[8,1,4,3,7,2,6,5]=>{{1,8},{2},{3,4},{5,7},{6}}=>{{1,8},{2,4},{3},{5,6},{7}}
[5,1,8,3,4,2,7,6]=>[5,1,8,3,4,2,7,6]=>{{1,5},{2},{3,8},{4},{6},{7}}=>{{1,6},{2},{3},{4,8},{5},{7}}
[5,4,8,1,3,2,7,6]=>[5,1,8,4,7,3,6,2]=>{{1,5,7},{2},{3,8},{4},{6}}=>{{1,6},{2,4,8},{3},{5},{7}}
[2,1,5,4,8,3,7,6]=>[5,2,8,1,4,3,7,6]=>{{1,5},{2},{3,8},{4},{6},{7}}=>{{1,6},{2},{3},{4,8},{5},{7}}
[4,3,7,1,8,5,6,2]=>[4,3,7,1,8,5,6,2]=>{{1,4},{2,3,7},{5,8},{6}}=>{{1,4},{2,6,7},{3},{5,8}}
[4,3,6,5,8,1,7,2]=>[4,3,6,1,5,2,8,7]=>{{1,4},{2,3,6},{5},{7,8}}=>{{1,2},{3,6,7},{4},{5,8}}
[6,3,5,4,7,2,8,1]=>[6,3,5,4,7,2,8,1]=>{{1,6},{2,3,5,7,8},{4}}=>{{1,2,4,6,7},{3,8},{5}}
[7,1,6,3,8,4,5,2]=>[7,1,6,3,8,4,5,2]=>{{1,7},{2},{3,6},{4},{5,8}}=>{{1,4},{2,8},{3,6},{5},{7}}
[2,1,8,4,6,3,7,5]=>[2,1,8,4,6,3,7,5]=>{{1,2},{3,8},{4},{5,6},{7}}=>{{1,6},{2},{3,4},{5},{7,8}}
[8,4,6,1,3,2,7,5]=>[4,1,8,6,7,3,5,2]=>{{1,4,6},{2},{3,8},{5,7}}=>{{1,6},{2,4},{3,5,8},{7}}
[8,3,5,1,7,2,6,4]=>[8,3,5,1,7,2,6,4]=>{{1,8},{2,3,5,7},{4},{6}}=>{{1,8},{2,4,6,7},{3},{5}}
[7,3,5,2,6,4,8,1]=>[7,3,5,2,6,4,8,1]=>{{1,7,8},{2,3,5,6},{4}}=>{{1,2,8},{3,4,6,7},{5}}
[8,2,7,1,5,3,6,4]=>[2,1,8,5,7,3,6,4]=>{{1,2},{3,8},{4,5,7},{6}}=>{{1,6},{2,4,5},{3},{7,8}}
[8,2,4,1,5,3,7,6]=>[2,1,4,3,8,5,7,6]=>{{1,2},{3,4},{5,8},{6},{7}}=>{{1,4},{2},{3},{5,6},{7,8}}
[8,2,4,1,7,3,6,5]=>[8,2,4,1,7,3,6,5]=>{{1,8},{2},{3,4},{5,7},{6}}=>{{1,8},{2,4},{3},{5,6},{7}}
[3,2,8,4,6,1,7,5]=>[3,2,8,4,6,1,7,5]=>{{1,3,8},{2},{4},{5,6},{7}}=>{{1,6,8},{2},{3,4},{5},{7}}
[3,2,8,1,5,4,7,6]=>[3,2,5,4,8,1,7,6]=>{{1,3,5,8},{2},{4},{6},{7}}=>{{1,4,6,8},{2},{3},{5},{7}}
[3,2,7,6,8,1,5,4]=>[7,3,6,2,5,1,8,4]=>{{1,7,8},{2,3,6},{4},{5}}=>{{1,2,8},{3,6,7},{4},{5}}
[3,2,7,1,8,5,6,4]=>[3,2,7,1,8,5,6,4]=>{{1,3,7},{2},{4},{5,8},{6}}=>{{1,4},{2,6,8},{3},{5},{7}}
[3,2,6,5,8,1,7,4]=>[3,2,6,1,5,4,8,7]=>{{1,3,6},{2},{4},{5},{7,8}}=>{{1,2},{3,6,8},{4},{5},{7}}
[7,2,4,1,8,5,6,3]=>[7,2,4,1,8,5,6,3]=>{{1,7},{2},{3,4},{5,8},{6}}=>{{1,4},{2,8},{3},{5,6},{7}}
[7,6,8,1,5,2,4,3]=>[7,1,6,5,8,2,4,3]=>{{1,7},{2},{3,6},{4,5,8}}=>{{1,4,5},{2,8},{3,6},{7}}
[7,1,3,2,8,5,6,4]=>[7,1,3,2,8,5,6,4]=>{{1,7},{2},{3},{4},{5,8},{6}}=>{{1,4},{2,8},{3},{5},{6},{7}}
[2,1,6,5,8,3,7,4]=>[6,2,8,1,5,3,7,4]=>{{1,6},{2},{3,8},{4},{5},{7}}=>{{1,6},{2},{3,8},{4},{5},{7}}
[6,5,7,1,8,3,4,2]=>[6,5,7,1,8,3,4,2]=>{{1,6},{2,5,8},{3,7},{4}}=>{{1,4,7},{2,6},{3,8},{5}}
[5,4,7,1,8,3,6,2]=>[5,4,7,1,8,3,6,2]=>{{1,5,8},{2,4},{3,7},{6}}=>{{1,4,8},{2,6},{3},{5,7}}
[4,2,5,3,1,8,6,7]=>[4,5,2,6,3,1,8,7]=>{{1,4,6},{2,5},{3},{7,8}}=>{{1,2},{3,5,8},{4,7},{6}}
[4,2,1,8,5,3,6,7]=>[4,5,6,2,1,8,7,3]=>{{1,4},{2,5},{3,6,8},{7}}=>{{1,3,6},{2},{4,7},{5,8}}
[5,1,4,8,3,2,6,7]=>[1,5,8,4,3,6,7,2]=>{{1},{2,5},{3,8},{4},{6},{7}}=>{{1,6},{2},{3},{4,7},{5},{8}}
[1,5,8,4,3,2,6,7]=>[1,5,8,4,3,2,6,7]=>{{1},{2,5},{3,8},{4},{6},{7}}=>{{1,6},{2},{3},{4,7},{5},{8}}
[1,8,5,4,3,2,6,7]=>[1,5,8,6,4,3,2,7]=>{{1},{2,5},{3,8},{4,6},{7}}=>{{1,6},{2},{3,5},{4,7},{8}}
[1,7,4,3,8,5,2,6]=>[1,7,4,3,8,5,2,6]=>{{1},{2,7},{3,4},{5,8},{6}}=>{{1,4},{2,7},{3},{5,6},{8}}
[1,5,7,3,8,4,2,6]=>[5,7,3,1,8,2,4,6]=>{{1,5,8},{2,7},{3},{4},{6}}=>{{1,4,8},{2,7},{3},{5},{6}}
[8,1,5,3,7,4,6,2]=>[8,1,5,3,7,4,6,2]=>{{1,8},{2},{3,5,7},{4},{6}}=>{{1,8},{2,4,6},{3},{5},{7}}
[3,8,4,7,6,5,2,1]=>[8,7,6,3,2,4,1,5]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[2,6,8,4,3,7,5,1]=>[6,4,2,8,7,1,3,5]=>{{1,6},{2,4,8},{3},{5,7}}=>{{1,5,7},{2,4},{3,8},{6}}
[6,2,4,8,3,7,5,1]=>[6,4,2,8,1,3,7,5]=>{{1,6},{2,4,8},{3},{5},{7}}=>{{1,5,7},{2},{3,8},{4},{6}}
[8,7,2,6,3,5,4,1]=>[8,7,2,6,3,5,4,1]=>{{1,8},{2,7},{3},{4,6},{5}}=>{{1,8},{2,7},{3,5},{4},{6}}
[8,6,1,2,7,5,3,4]=>[1,8,6,2,3,7,5,4]=>{{1},{2,8},{3,6,7},{4},{5}}=>{{1,7},{2,3,6},{4},{5},{8}}
[8,1,6,2,7,4,5,3]=>[8,1,6,2,7,4,5,3]=>{{1,8},{2},{3,6},{4},{5,7}}=>{{1,8},{2,4},{3,6},{5},{7}}
[8,7,1,6,4,5,3,2]=>[8,7,1,6,4,5,3,2]=>{{1,8},{2,7},{3},{4,6},{5}}=>{{1,8},{2,7},{3,5},{4},{6}}
[8,1,4,7,3,6,2,5]=>[4,8,3,7,1,2,6,5]=>{{1,4,7},{2,8},{3},{5},{6}}=>{{1,7},{2,5,8},{3},{4},{6}}
[6,5,1,4,7,8,3,2]=>[6,5,1,4,7,8,3,2]=>{{1,6,8},{2,5,7},{3},{4}}=>{{1,3,8},{2,4,7},{5},{6}}
[4,7,1,3,5,8,6,2]=>[4,3,1,2,7,8,5,6]=>{{1,4},{2,3},{5,7},{6,8}}=>{{1,3},{2,4},{5,8},{6,7}}
[4,8,3,7,1,2,6,5]=>[8,1,4,7,3,6,2,5]=>{{1,8},{2},{3,4,7},{5},{6}}=>{{1,8},{2,5,6},{3},{4},{7}}
[3,8,6,4,1,7,2,5]=>[3,6,1,8,7,4,2,5]=>{{1,3},{2,6},{4,8},{5,7}}=>{{1,5},{2,4},{3,7},{6,8}}
[8,7,2,6,4,1,3,5]=>[2,4,8,7,1,6,5,3]=>{{1,2,4,7},{3,8},{5},{6}}=>{{1,6},{2,5,7,8},{3},{4}}
[5,3,7,8,2,4,6,1]=>[5,3,7,8,2,4,6,1]=>{{1,5},{2,3,7},{4,8},{6}}=>{{1,5},{2,6,7},{3},{4,8}}
[6,7,3,5,1,8,2,4]=>[6,7,1,8,3,5,2,4]=>{{1,6},{2,7},{3},{4,8},{5}}=>{{1,5},{2,7},{3,8},{4},{6}}
[4,1,7,2,5,6,8,3]=>[7,1,4,5,6,2,8,3]=>{{1,7,8},{2},{3,4,5,6}}=>{{1,2,8},{3,4,5,6},{7}}
[5,6,3,1,8,7,2,4]=>[5,6,3,1,8,7,2,4]=>{{1,5,8},{2,6,7},{3},{4}}=>{{1,4,8},{2,3,7},{5},{6}}
[4,8,7,2,6,5,1,3]=>[4,8,7,2,6,5,1,3]=>{{1,4},{2,8},{3,7},{5,6}}=>{{1,7},{2,6},{3,4},{5,8}}
[4,8,7,3,2,1,6,5]=>[4,3,8,7,6,2,1,5]=>{{1,4,7},{2,3,8},{5,6}}=>{{1,6,7},{2,5,8},{3,4}}
[4,8,7,3,6,2,1,5]=>[4,8,7,3,6,2,1,5]=>{{1,4},{2,8},{3,7},{5,6}}=>{{1,7},{2,6},{3,4},{5,8}}
[4,8,7,3,6,5,1,2]=>[4,8,7,3,6,5,1,2]=>{{1,4},{2,8},{3,7},{5,6}}=>{{1,7},{2,6},{3,4},{5,8}}
[4,8,7,3,6,5,2,1]=>[8,7,4,3,6,2,1,5]=>{{1,8},{2,7},{3,4},{5,6}}=>{{1,8},{2,7},{3,4},{5,6}}
[5,8,7,6,4,2,3,1]=>[8,5,7,6,4,2,1,3]=>{{1,8},{2,5},{3,7},{4,6}}=>{{1,8},{2,6},{3,5},{4,7}}
[5,8,7,6,4,2,1,3]=>[5,8,7,6,4,2,1,3]=>{{1,5},{2,8},{3,7},{4,6}}=>{{1,7},{2,6},{3,5},{4,8}}
[5,8,7,6,4,3,1,2]=>[5,8,7,6,4,3,1,2]=>{{1,5},{2,8},{3,7},{4,6}}=>{{1,7},{2,6},{3,5},{4,8}}
[6,3,5,2,7,4,8,1]=>[6,3,5,2,7,4,8,1]=>{{1,6},{2,3,5,7,8},{4}}=>{{1,2,4,6,7},{3,8},{5}}
[7,2,1,5,6,4,3,8]=>[2,7,5,1,6,8,4,3]=>{{1,2,7},{3,5,6,8},{4}}=>{{1,3,4,6},{2,7,8},{5}}
[6,4,5,7,1,3,8,2]=>[6,4,5,7,1,3,8,2]=>{{1,6},{2,4,7,8},{3,5}}=>{{1,2,5,7},{3,8},{4,6}}
[6,3,5,1,7,4,8,2]=>[6,3,5,1,7,4,8,2]=>{{1,6},{2,3,5,7,8},{4}}=>{{1,2,4,6,7},{3,8},{5}}
[5,2,1,6,7,8,4,3]=>[5,2,1,6,7,8,4,3]=>{{1,5,7},{2},{3},{4,6,8}}=>{{1,3,5},{2,4,8},{6},{7}}
[6,3,5,2,7,1,8,4]=>[3,2,6,5,7,4,8,1]=>{{1,3,6},{2},{4,5,7,8}}=>{{1,2,4,5},{3,6,8},{7}}
[4,2,1,6,7,8,5,3]=>[4,2,1,6,7,8,5,3]=>{{1,4,6,8},{2},{3},{5,7}}=>{{1,3,5,8},{2,4},{6},{7}}
[2,4,1,3,6,5,8,7,9]=>[2,4,1,6,3,8,9,5,7]=>{{1,2,4,6,8},{3},{5},{7,9}}=>{{1,3},{2,4,6,8,9},{5},{7}}
[2,4,1,6,3,8,5,10,7,9]=>[2,4,1,6,3,8,5,10,7,9]=>{{1,2,4,6,8,10},{3},{5},{7},{9}}=>{{1,3,5,7,9,10},{2},{4},{6},{8}}
[2,3,1,5,4,7,6,9,8,10]=>[2,3,1,5,4,7,6,9,8,10]=>{{1,2,3},{4,5},{6,7},{8,9},{10}}=>{{1},{2,3},{4,5},{6,7},{8,9,10}}
[1,3,2,5,4,7,6,9,8,10]=>[1,3,2,5,4,7,6,9,8,10]=>{{1},{2,3},{4,5},{6,7},{8,9},{10}}=>{{1},{2,3},{4,5},{6,7},{8,9},{10}}
[7,1,2,3,4,5,6,8,9]=>[1,2,3,4,5,7,8,9,6]=>{{1},{2},{3},{4},{5},{6,7,8,9}}=>{{1,2,3,4},{5},{6},{7},{8},{9}}
[1,4,3,7,2,6,5,8]=>[1,4,3,7,2,6,5,8]=>{{1},{2,4,7},{3},{5},{6},{8}}=>{{1},{2,5,7},{3},{4},{6},{8}}
[1,5,4,8,2,6,3,7]=>[1,5,4,8,2,6,3,7]=>{{1},{2,5},{3,4,8},{6},{7}}=>{{1,5,6},{2},{3},{4,7},{8}}
[3,8,7,4,1,6,5,2]=>[8,3,1,7,6,4,2,5]=>{{1,8},{2,3},{4,7},{5,6}}=>{{1,8},{2,5},{3,4},{6,7}}
[5,8,1,4,7,6,3,2]=>[8,5,4,1,3,7,2,6]=>{{1,8},{2,5},{3,4},{6,7}}=>{{1,8},{2,3},{4,7},{5,6}}
[7,1,8,3,6,2,5,4]=>[7,6,8,1,3,2,5,4]=>{{1,7},{2,6},{3,8},{4},{5}}=>{{1,6},{2,8},{3,7},{4},{5}}
[5,2,3,8,1,4,7,6]=>[5,2,3,8,1,4,7,6]=>{{1,5},{2},{3},{4,8},{6},{7}}=>{{1,5},{2},{3},{4,8},{6},{7}}
[6,2,4,1,8,7,3,5]=>[2,6,4,1,8,3,7,5]=>{{1,2,6},{3,4},{5,8},{7}}=>{{1,4},{2},{3,7,8},{5,6}}
[1,2,5,3,8,4,7,6]=>[8,1,5,2,7,3,4,6]=>{{1,8},{2},{3,5,7},{4},{6}}=>{{1,8},{2,4,6},{3},{5},{7}}
[1,2,4,8,3,7,6,5]=>[8,7,4,6,1,2,3,5]=>{{1,8},{2,7},{3,4,6},{5}}=>{{1,8},{2,7},{3,5,6},{4}}
[2,4,8,1,3,7,6,5]=>[8,7,2,4,6,1,3,5]=>{{1,8},{2,7},{3},{4},{5,6}}=>{{1,8},{2,7},{3,4},{5},{6}}
[2,4,8,3,7,1,6,5]=>[8,4,7,2,6,1,3,5]=>{{1,8},{2,4},{3,7},{5,6}}=>{{1,8},{2,6},{3,4},{5,7}}
[2,5,3,8,1,7,4,6]=>[2,5,3,8,1,7,4,6]=>{{1,2,5},{3},{4,8},{6,7}}=>{{1,5},{2,3},{4,7,8},{6}}
[5,3,1,4,8,2,7,6]=>[5,3,4,1,2,8,7,6]=>{{1,5},{2,3,4},{6,8},{7}}=>{{1,3},{2},{4,8},{5,6,7}}
[4,8,2,3,7,1,6,5]=>[8,4,7,2,3,6,1,5]=>{{1,8},{2,4},{3,7},{5},{6}}=>{{1,8},{2,6},{3},{4},{5,7}}
[4,8,1,2,3,7,6,5]=>[8,7,1,2,4,6,3,5]=>{{1,8},{2,7},{3},{4},{5},{6}}=>{{1,8},{2,7},{3},{4},{5},{6}}
[1,4,8,2,3,7,6,5]=>[8,7,1,4,6,2,3,5]=>{{1,8},{2,7},{3},{4},{5,6}}=>{{1,8},{2,7},{3,4},{5},{6}}
[1,4,8,3,7,2,6,5]=>[8,4,7,3,6,1,2,5]=>{{1,8},{2,4},{3,7},{5,6}}=>{{1,8},{2,6},{3,4},{5,7}}
[5,1,3,8,2,4,7,6]=>[5,1,3,8,2,4,7,6]=>{{1,5},{2},{3},{4,8},{6},{7}}=>{{1,5},{2},{3},{4,8},{6},{7}}
[1,5,4,8,2,7,6,3]=>[8,5,4,7,1,6,2,3]=>{{1,8},{2,5},{3,4,7},{6}}=>{{1,8},{2,5,6},{3},{4,7}}
[5,1,4,8,2,7,6,3]=>[8,5,4,7,1,2,6,3]=>{{1,8},{2,5},{3,4,7},{6}}=>{{1,8},{2,5,6},{3},{4,7}}
[5,4,8,1,2,7,6,3]=>[8,5,1,4,7,2,6,3]=>{{1,8},{2,5,7},{3},{4},{6}}=>{{1,8},{2,4,7},{3},{5},{6}}
[5,3,1,6,4,2,8,7]=>[5,3,6,4,1,8,7,2]=>{{1,5},{2,3,6,8},{4},{7}}=>{{1,3,6,7},{2},{4,8},{5}}
[4,2,6,1,8,7,3,5]=>[4,6,2,1,8,3,7,5]=>{{1,4},{2,6},{3},{5,8},{7}}=>{{1,4},{2},{3,7},{5,8},{6}}
[3,5,2,8,7,1,4,6]=>[3,5,8,2,1,7,4,6]=>{{1,3,8},{2,5},{4},{6,7}}=>{{1,6,8},{2,3},{4,7},{5}}
[3,4,8,7,1,2,6,5]=>[8,3,4,7,6,1,2,5]=>{{1,8},{2,3,4,7},{5,6}}=>{{1,8},{2,5,6,7},{3,4}}
[1,3,4,8,7,2,6,5]=>[8,3,7,6,1,2,4,5]=>{{1,8},{2,3,7},{4,6},{5}}=>{{1,8},{2,6,7},{3,5},{4}}
[1,3,4,8,2,7,6,5]=>[8,7,3,6,1,2,4,5]=>{{1,8},{2,7},{3},{4,6},{5}}=>{{1,8},{2,7},{3,5},{4},{6}}
[3,4,8,1,2,7,6,5]=>[8,7,3,4,6,1,2,5]=>{{1,8},{2,7},{3},{4},{5,6}}=>{{1,8},{2,7},{3,4},{5},{6}}
[3,4,8,2,7,1,6,5]=>[8,3,7,2,6,1,4,5]=>{{1,8},{2,3,7},{4},{5,6}}=>{{1,8},{2,6,7},{3,4},{5}}
[4,3,1,2,5,8,7,6]=>[4,3,1,2,5,8,7,6]=>{{1,4},{2,3},{5},{6,8},{7}}=>{{1,3},{2},{4},{5,8},{6,7}}
[6,3,1,5,4,2,7,8]=>[3,6,7,5,1,8,4,2]=>{{1,3,7},{2,6,8},{4,5}}=>{{1,3,7},{2,6,8},{4,5}}
[7,8,3,5,4,1,6,2]=>[7,3,8,5,4,6,1,2]=>{{1,7},{2,3,8},{4,5},{6}}=>{{1,6,7},{2,8},{3},{4,5}}
[7,8,2,5,4,6,1,3]=>[7,8,2,5,4,6,1,3]=>{{1,7},{2,8},{3},{4,5},{6}}=>{{1,7},{2,8},{3},{4,5},{6}}
[4,2,7,1,8,3,6,5]=>[4,2,7,1,8,3,6,5]=>{{1,4},{2},{3,7},{5,8},{6}}=>{{1,4},{2,6},{3},{5,8},{7}}
[1,7,6,5,3,8,4,2]=>[7,6,1,8,5,3,2,4]=>{{1,7},{2,6},{3},{4,8},{5}}=>{{1,5},{2,8},{3,7},{4},{6}}
[5,1,6,2,4,8,3,7]=>[5,6,1,2,4,3,8,7]=>{{1,5},{2,6},{3},{4},{7,8}}=>{{1,2},{3,7},{4,8},{5},{6}}
[4,7,6,5,2,8,1,3]=>[4,7,2,6,5,3,1,8]=>{{1,4,6},{2,7},{3},{5},{8}}=>{{1},{2,7},{3,5,8},{4},{6}}
[1,7,6,5,3,2,8,4]=>[7,1,8,6,5,3,2,4]=>{{1,7},{2},{3,8},{4,6},{5}}=>{{1,6},{2,8},{3,5},{4},{7}}
[1,2,6,7,4,8,5,3]=>[6,4,1,7,2,3,5,8]=>{{1,6},{2,4,7},{3},{5},{8}}=>{{1},{2,5,7},{3,8},{4},{6}}
[3,7,6,5,2,4,1,8]=>[3,7,6,8,5,2,1,4]=>{{1,3,6},{2,7},{4,8},{5}}=>{{1,5},{2,7},{3,6,8},{4}}
[3,7,6,5,2,1,8,4]=>[3,2,7,6,5,4,1,8]=>{{1,3,7},{2},{4,6},{5},{8}}=>{{1},{2,6,8},{3,5},{4},{7}}
[3,7,6,5,8,1,4,2]=>[7,3,6,1,5,4,2,8]=>{{1,7},{2,3,6},{4},{5},{8}}=>{{1},{2,8},{3,6,7},{4},{5}}
[2,7,6,5,1,4,3,8]=>[2,7,6,8,5,4,1,3]=>{{1,2,7},{3,6},{4,8},{5}}=>{{1,5},{2,7,8},{3,6},{4}}
[6,3,2,1,7,4,8,5]=>[6,3,7,4,8,5,2,1]=>{{1,6},{2,3,7},{4},{5,8}}=>{{1,4},{2,6,7},{3,8},{5}}
[8,4,1,5,2,7,6,3]=>[8,4,1,5,2,7,6,3]=>{{1,8},{2,4,5},{3},{6,7}}=>{{1,8},{2,3},{4,5,7},{6}}
[6,3,7,4,2,1,8,5]=>[6,3,7,4,2,1,8,5]=>{{1,6},{2,3,7,8},{4},{5}}=>{{1,2,6,7},{3,8},{4},{5}}
[2,7,5,4,1,3,8,6]=>[2,1,7,8,5,4,3,6]=>{{1,2},{3,7},{4,8},{5},{6}}=>{{1,5},{2,6},{3},{4},{7,8}}
[7,5,4,3,2,1,8,6]=>[7,5,8,6,4,3,2,1]=>{{1,7},{2,5},{3,8},{4,6}}=>{{1,6},{2,8},{3,5},{4,7}}
[2,7,3,6,4,8,1,5]=>[7,8,2,6,3,4,1,5]=>{{1,7},{2,8},{3},{4,6},{5}}=>{{1,7},{2,8},{3,5},{4},{6}}
[8,7,3,1,6,5,4,2]=>[8,7,3,1,6,5,4,2]=>{{1,8},{2,7},{3},{4},{5,6}}=>{{1,8},{2,7},{3,4},{5},{6}}
[8,7,2,6,1,5,4,3]=>[8,7,2,6,1,5,4,3]=>{{1,8},{2,7},{3},{4,6},{5}}=>{{1,8},{2,7},{3,5},{4},{6}}
[3,8,6,1,7,2,5,4]=>[8,3,6,1,7,5,2,4]=>{{1,8},{2,3,6},{4},{5,7}}=>{{1,8},{2,4},{3,6,7},{5}}
[7,2,8,5,6,1,4,3]=>[7,5,8,2,4,1,6,3]=>{{1,7},{2,5},{3,8},{4},{6}}=>{{1,6},{2,8},{3},{4,7},{5}}
[3,6,5,8,1,4,2,7]=>[3,6,5,8,1,4,2,7]=>{{1,3,5},{2,6},{4,8},{7}}=>{{1,5},{2},{3,7},{4,6,8}}
[8,2,4,7,1,3,6,5]=>[8,2,4,7,1,3,6,5]=>{{1,8},{2},{3,4,7},{5},{6}}=>{{1,8},{2,5,6},{3},{4},{7}}
[6,3,7,4,8,5,2,1]=>[6,3,2,1,7,4,8,5]=>{{1,6},{2,3},{4},{5,7,8}}=>{{1,2,4},{3,8},{5},{6,7}}
[6,5,3,8,7,4,1,2]=>[6,8,5,3,1,7,4,2]=>{{1,6,7},{2,8},{3,5},{4}}=>{{1,7},{2,3,8},{4,6},{5}}
[5,2,8,1,7,3,6,4]=>[8,2,5,3,7,1,6,4]=>{{1,8},{2},{3,5,7},{4},{6}}=>{{1,8},{2,4,6},{3},{5},{7}}
[6,3,7,8,5,2,4,1]=>[6,3,7,2,1,5,8,4]=>{{1,6},{2,3,7,8},{4},{5}}=>{{1,2,6,7},{3,8},{4},{5}}
[5,3,8,7,2,1,6,4]=>[5,3,8,7,2,1,6,4]=>{{1,5},{2,3,8},{4,7},{6}}=>{{1,6,7},{2,5},{3},{4,8}}
[8,2,7,6,5,1,4,3]=>[8,2,7,6,5,1,4,3]=>{{1,8},{2},{3,7},{4,6},{5}}=>{{1,8},{2,6},{3,5},{4},{7}}
[4,3,8,7,6,2,1,5]=>[4,8,7,3,2,1,6,5]=>{{1,4},{2,8},{3,7},{5},{6}}=>{{1,7},{2,6},{3},{4},{5,8}}
[2,4,8,7,6,1,3,5]=>[2,4,8,7,6,1,3,5]=>{{1,2,4,7},{3,8},{5,6}}=>{{1,6},{2,5,7,8},{3,4}}
[7,5,8,6,4,3,2,1]=>[7,5,4,3,2,1,8,6]=>{{1,7,8},{2,5},{3,4},{6}}=>{{1,2,8},{3},{4,7},{5,6}}
[2,8,7,6,5,4,1,3]=>[2,8,7,6,5,4,1,3]=>{{1,2,8},{3,7},{4,6},{5}}=>{{1,7,8},{2,6},{3,5},{4}}
[3,4,1,2,5,6,7,8,9]=>[3,4,5,6,7,8,9,1,2]=>{{1,3,5,7,9},{2,4,6,8}}=>{{1,3,5,7,9},{2,4,6,8}}
[3,4,1,2,5,6,7,8,9,10]=>[3,4,5,6,7,8,9,10,1,2]=>{{1,3,5,7,9},{2,4,6,8,10}}=>{{1,3,5,7,9},{2,4,6,8,10}}
[6,5,4,3,2,1,7,8,9,10]=>[6,7,8,9,10,5,4,3,2,1]=>{{1,6},{2,7},{3,8},{4,9},{5,10}}=>{{1,6},{2,7},{3,8},{4,9},{5,10}}
[3,6,5,1,2,4,8,7]=>[3,1,2,6,8,5,4,7]=>{{1,3},{2},{4,6},{5,8},{7}}=>{{1,4},{2},{3,5},{6,8},{7}}
[3,7,5,8,2,4,1,6]=>[3,7,5,8,2,4,1,6]=>{{1,3,5},{2,7},{4,8},{6}}=>{{1,5},{2,7},{3},{4,6,8}}
[3,8,5,7,2,4,1,6]=>[3,8,5,7,2,4,1,6]=>{{1,3,5},{2,8},{4,7},{6}}=>{{1,7},{2,5},{3},{4,6,8}}
[2,1,5,8,7,3,4,6]=>[2,3,8,5,1,4,7,6]=>{{1,2,3,8},{4,5},{6},{7}}=>{{1,6,7,8},{2},{3},{4,5}}
[6,8,1,4,3,7,2,5]=>[6,8,1,4,3,7,2,5]=>{{1,6,7},{2,8},{3},{4},{5}}=>{{1,7},{2,3,8},{4},{5},{6}}
[6,7,1,4,3,8,2,5]=>[6,7,1,4,3,8,2,5]=>{{1,6,8},{2,7},{3},{4},{5}}=>{{1,3,8},{2,7},{4},{5},{6}}
[7,8,2,6,3,4,1,5]=>[2,7,3,6,4,8,1,5]=>{{1,2,7},{3},{4,6,8},{5}}=>{{1,3,5},{2,7,8},{4},{6}}
[3,6,7,1,4,2,8,5]=>[3,1,6,4,7,2,5,8]=>{{1,3,6},{2},{4},{5,7},{8}}=>{{1},{2,4},{3,6,8},{5},{7}}
[8,1,7,5,4,3,2,6]=>[1,8,7,5,4,3,6,2]=>{{1},{2,8},{3,7},{4,5},{6}}=>{{1,7},{2,6},{3},{4,5},{8}}
[8,1,7,4,5,3,2,6]=>[1,8,7,4,5,3,6,2]=>{{1},{2,8},{3,7},{4},{5},{6}}=>{{1,7},{2,6},{3},{4},{5},{8}}
[5,8,3,7,1,4,2,6]=>[3,8,5,7,4,6,1,2]=>{{1,3,5},{2,8},{4,7},{6}}=>{{1,7},{2,5},{3},{4,6,8}}
[7,1,2,3,5,6,8,4]=>[7,1,2,3,5,6,8,4]=>{{1,7,8},{2},{3},{4},{5},{6}}=>{{1,2,8},{3},{4},{5},{6},{7}}
[6,1,2,3,5,7,8,4]=>[6,1,2,3,5,7,8,4]=>{{1,6,7,8},{2},{3},{4},{5}}=>{{1,2,3,8},{4},{5},{6},{7}}
[7,1,4,2,6,3,5,8]=>[1,2,4,3,7,6,8,5]=>{{1},{2},{3,4},{5,7,8},{6}}=>{{1,2,4},{3},{5,6},{7},{8}}
[7,3,1,6,5,4,2,8]=>[3,7,6,5,1,8,4,2]=>{{1,3,6,8},{2,7},{4,5}}=>{{1,3,6,8},{2,7},{4,5}}
[1,6,2,3,8,5,4,7]=>[1,6,5,2,3,8,4,7]=>{{1},{2,6,8},{3,5},{4},{7}}=>{{1,3,7},{2},{4,6},{5},{8}}
[6,2,8,1,7,3,5,4]=>[8,2,6,3,7,1,5,4]=>{{1,8},{2},{3,6},{4},{5,7}}=>{{1,8},{2,4},{3,6},{5},{7}}
[1,2,5,3,8,7,4,6]=>[1,8,5,2,7,3,4,6]=>{{1},{2,8},{3,5,7},{4},{6}}=>{{1,7},{2,4,6},{3},{5},{8}}
[2,5,3,8,7,1,6,4]=>[8,5,7,2,1,6,3,4]=>{{1,8},{2,5},{3,7},{4},{6}}=>{{1,8},{2,6},{3},{4,7},{5}}
[2,5,8,4,1,7,6,3]=>[8,5,2,7,4,1,3,6]=>{{1,8},{2,5},{3},{4,7},{6}}=>{{1,8},{2,5},{3},{4,7},{6}}
[5,3,8,4,1,7,6,2]=>[8,5,3,7,4,1,6,2]=>{{1,8},{2,5},{3},{4,7},{6}}=>{{1,8},{2,5},{3},{4,7},{6}}
[5,6,1,2,4,3,8,7]=>[5,1,6,2,4,8,3,7]=>{{1,5},{2},{3,6,8},{4},{7}}=>{{1,3,6},{2},{4,8},{5},{7}}
[3,1,4,8,7,6,2,5]=>[3,8,7,4,1,2,6,5]=>{{1,3,7},{2,8},{4},{5},{6}}=>{{1,7},{2,6,8},{3},{4},{5}}
[1,3,4,8,7,6,2,5]=>[3,8,7,6,1,2,4,5]=>{{1,3,7},{2,8},{4,6},{5}}=>{{1,7},{2,6,8},{3,5},{4}}
[3,2,5,8,7,4,6,1]=>[8,3,5,2,1,4,7,6]=>{{1,8},{2,3,5},{4},{6},{7}}=>{{1,8},{2},{3},{4,6,7},{5}}
[8,2,5,7,1,3,6,4]=>[8,2,5,7,1,3,6,4]=>{{1,8},{2},{3,5},{4,7},{6}}=>{{1,8},{2,5},{3},{4,6},{7}}
[2,6,8,3,7,1,5,4]=>[8,6,7,2,5,1,3,4]=>{{1,8},{2,6},{3,7},{4},{5}}=>{{1,8},{2,6},{3,7},{4},{5}}
[8,4,7,2,3,6,1,5]=>[4,8,2,3,7,1,6,5]=>{{1,4},{2,8},{3},{5,7},{6}}=>{{1,7},{2,4},{3},{5,8},{6}}
[8,7,1,2,4,6,3,5]=>[4,8,1,2,3,7,6,5]=>{{1,4},{2,8},{3},{5},{6,7}}=>{{1,7},{2,3},{4},{5,8},{6}}
[8,7,1,4,6,2,3,5]=>[1,4,8,2,3,7,6,5]=>{{1},{2,4},{3,8},{5},{6,7}}=>{{1,6},{2,3},{4},{5,7},{8}}
[8,4,7,1,3,6,2,5]=>[4,8,1,3,7,2,6,5]=>{{1,4},{2,8},{3},{5,7},{6}}=>{{1,7},{2,4},{3},{5,8},{6}}
[8,3,5,7,1,2,6,4]=>[8,3,5,7,1,2,6,4]=>{{1,8},{2,3,5},{4,7},{6}}=>{{1,8},{2,5},{3},{4,6,7}}
[8,5,4,7,1,6,2,3]=>[1,5,4,8,2,7,6,3]=>{{1},{2,5},{3,4,8},{6,7}}=>{{1,5,6},{2,3},{4,7},{8}}
[8,5,4,7,1,2,6,3]=>[5,1,4,8,2,7,6,3]=>{{1,5},{2},{3,4,8},{6,7}}=>{{1,5,6},{2,3},{4,8},{7}}
[8,5,1,4,7,2,6,3]=>[5,4,8,1,2,7,6,3]=>{{1,5},{2,4},{3,8},{6,7}}=>{{1,6},{2,3},{4,8},{5,7}}
[1,4,6,8,2,7,5,3]=>[8,6,4,5,1,2,3,7]=>{{1,8},{2,6},{3,4,5},{7}}=>{{1,8},{2},{3,7},{4,5,6}}
[1,6,5,8,2,7,4,3]=>[6,5,4,8,1,7,2,3]=>{{1,6,7},{2,5},{3,4,8}}=>{{1,5,6},{2,3,8},{4,7}}
[8,5,6,3,1,7,4,2]=>[5,3,1,8,6,4,7,2]=>{{1,5,6},{2,3},{4,8},{7}}=>{{1,5},{2},{3,4,8},{6,7}}
[5,8,7,3,6,1,2,4]=>[1,5,8,3,7,6,2,4]=>{{1},{2,5,7},{3,8},{4},{6}}=>{{1,6},{2,4,7},{3},{5},{8}}
[1,6,8,3,7,5,2,4]=>[6,8,7,3,5,1,2,4]=>{{1,6},{2,8},{3,7},{4},{5}}=>{{1,7},{2,6},{3,8},{4},{5}}
[6,3,4,8,2,7,5,1]=>[6,3,2,8,1,4,7,5]=>{{1,6},{2,3},{4,8},{5},{7}}=>{{1,5},{2},{3,8},{4},{6,7}}
[8,1,6,4,3,7,2,5]=>[6,8,1,7,4,3,5,2]=>{{1,6},{2,8},{3},{4,7},{5}}=>{{1,7},{2,5},{3,8},{4},{6}}
[4,7,5,6,2,3,8,1]=>[7,4,5,6,2,3,1,8]=>{{1,7},{2,4,6},{3,5},{8}}=>{{1},{2,8},{3,5,7},{4,6}}
[6,5,4,1,7,2,8,3]=>[6,1,7,2,8,5,4,3]=>{{1,6},{2},{3,7},{4},{5,8}}=>{{1,4},{2,6},{3,8},{5},{7}}
[4,3,1,6,8,7,2,5]=>[4,6,3,1,2,8,7,5]=>{{1,4},{2,6,8},{3},{5},{7}}=>{{1,3,7},{2},{4},{5,8},{6}}
[6,3,5,1,8,7,2,4]=>[3,6,5,1,8,2,7,4]=>{{1,3,5,8},{2,6},{4},{7}}=>{{1,4,6,8},{2},{3,7},{5}}
[7,3,5,8,6,2,1,4]=>[7,8,3,2,1,5,6,4]=>{{1,7},{2,8},{3},{4},{5},{6}}=>{{1,7},{2,8},{3},{4},{5},{6}}
[5,2,8,7,6,4,1,3]=>[5,8,7,6,2,1,4,3]=>{{1,5},{2,8},{3,7},{4,6}}=>{{1,7},{2,6},{3,5},{4,8}}
[8,1,7,6,5,4,3,2]=>[8,7,6,5,4,1,3,2]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,8},{2,7},{3,6},{4,5}}
[2,7,6,1,5,4,3,8]=>[2,7,6,5,8,4,1,3]=>{{1,2,7},{3,6},{4,5,8}}=>{{1,4,5},{2,7,8},{3,6}}
[3,7,6,5,1,4,2,8]=>[3,7,6,8,5,4,1,2]=>{{1,3,6},{2,7},{4,8},{5}}=>{{1,5},{2,7},{3,6,8},{4}}
[8,6,4,1,5,2,7,3]=>[4,1,6,2,8,7,5,3]=>{{1,4},{2},{3,6,7},{5,8}}=>{{1,4},{2,3,6},{5,8},{7}}
[8,5,1,2,6,7,3,4]=>[5,6,1,2,3,8,7,4]=>{{1,5},{2,6,8},{3},{4},{7}}=>{{1,3,7},{2},{4,8},{5},{6}}
[8,6,1,5,2,4,7,3]=>[8,1,2,6,5,7,4,3]=>{{1,8},{2},{3},{4,6,7},{5}}=>{{1,8},{2,3,5},{4},{6},{7}}
[6,1,2,7,8,5,3,4]=>[6,7,5,1,2,3,8,4]=>{{1,6},{2,7,8},{3,5},{4}}=>{{1,2,7},{3,8},{4,6},{5}}
[4,8,7,3,1,5,6,2]=>[4,3,5,8,7,6,1,2]=>{{1,4,8},{2,3,5,7},{6}}=>{{1,5,8},{2,4,6,7},{3}}
[6,1,2,8,7,3,5,4]=>[8,1,6,5,2,3,7,4]=>{{1,8},{2},{3,6},{4,5},{7}}=>{{1,8},{2},{3,6},{4,5},{7}}
[1,2,3,5,8,4,7,6]=>[8,5,7,1,2,3,4,6]=>{{1,8},{2,5},{3,7},{4},{6}}=>{{1,8},{2,6},{3},{4,7},{5}}
[8,1,2,7,3,6,5,4]=>[8,7,1,6,2,3,5,4]=>{{1,8},{2,7},{3},{4,6},{5}}=>{{1,8},{2,7},{3,5},{4},{6}}
[1,2,3,5,8,7,4,6]=>[5,8,7,1,2,3,4,6]=>{{1,5},{2,8},{3,7},{4},{6}}=>{{1,7},{2,6},{3},{4,8},{5}}
[1,2,3,6,8,5,4,7]=>[6,8,5,1,2,3,4,7]=>{{1,6},{2,8},{3,5},{4},{7}}=>{{1,7},{2},{3,8},{4,6},{5}}
[7,5,6,3,1,4,8,2]=>[5,3,7,8,6,1,4,2]=>{{1,5,6},{2,3,7},{4,8}}=>{{1,5},{2,6,7},{3,4,8}}
[7,5,3,6,4,8,1,2]=>[5,7,3,6,1,8,4,2]=>{{1,5},{2,7},{3},{4,6,8}}=>{{1,3,5},{2,7},{4,8},{6}}
[7,5,3,1,8,4,6,2]=>[7,3,5,1,8,6,4,2]=>{{1,7},{2,3,5,8},{4},{6}}=>{{1,4,6,7},{2,8},{3},{5}}
[7,5,3,1,6,2,4,8]=>[1,5,7,3,8,6,4,2]=>{{1},{2,5,8},{3,7},{4},{6}}=>{{1,4,7},{2,6},{3},{5},{8}}
[7,5,3,1,8,4,2,6]=>[3,7,5,1,8,6,4,2]=>{{1,3,5,8},{2,7},{4},{6}}=>{{1,4,6,8},{2,7},{3},{5}}
[7,5,3,6,1,4,2,8]=>[5,7,3,8,1,6,4,2]=>{{1,5},{2,7},{3},{4,8},{6}}=>{{1,5},{2,7},{3},{4,8},{6}}
[7,5,3,6,4,1,2,8]=>[5,7,8,3,1,6,4,2]=>{{1,5},{2,7},{3,8},{4},{6}}=>{{1,6},{2,7},{3},{4,8},{5}}
[7,5,3,6,8,1,4,2]=>[5,3,7,1,6,8,4,2]=>{{1,5,6,8},{2,3,7},{4}}=>{{1,3,4,8},{2,6,7},{5}}
[3,5,2,8,4,7,6,1]=>[8,3,2,5,1,7,4,6]=>{{1,8},{2,3},{4,5},{6,7}}=>{{1,8},{2,3},{4,5},{6,7}}
[4,5,8,3,2,7,6,1]=>[4,3,2,8,7,1,5,6]=>{{1,4,8},{2,3},{5,7},{6}}=>{{1,5,8},{2,4},{3},{6,7}}
[5,3,2,8,4,7,6,1]=>[5,3,2,4,1,8,7,6]=>{{1,5},{2,3},{4},{6,8},{7}}=>{{1,3},{2},{4,8},{5},{6,7}}
[8,4,7,3,6,5,2,1]=>[8,7,4,3,6,2,5,1]=>{{1,8},{2,7},{3,4},{5,6}}=>{{1,8},{2,7},{3,4},{5,6}}
[3,8,2,5,4,7,6,1]=>[8,3,2,5,4,7,1,6]=>{{1,8},{2,3},{4,5},{6,7}}=>{{1,8},{2,3},{4,5},{6,7}}
[6,8,5,7,4,3,2,1]=>[6,5,4,3,2,8,1,7]=>{{1,6,8},{2,5},{3,4},{7}}=>{{1,3,8},{2},{4,7},{5,6}}
[2,3,1,4,5,6,7,8,9]=>[2,3,4,5,6,7,8,1,9]=>{{1,2,3,4,5,6,7,8},{9}}=>{{1},{2,3,4,5,6,7,8,9}}
[2,3,4,1,5,6,7,8,9]=>[2,3,4,5,6,7,1,8,9]=>{{1,2,3,4,5,6,7},{8},{9}}=>{{1},{2},{3,4,5,6,7,8,9}}
[2,3,1,4,5,6,7,8,9,10]=>[2,3,4,5,6,7,8,9,1,10]=>{{1,2,3,4,5,6,7,8,9},{10}}=>{{1},{2,3,4,5,6,7,8,9,10}}
[2,3,4,5,6,7,9,8,1]=>[9,2,1,3,4,5,6,7,8]=>{{1,9},{2},{3},{4},{5},{6},{7},{8}}=>{{1,9},{2},{3},{4},{5},{6},{7},{8}}
[4,2,5,8,3,7,1,6]=>[4,8,2,5,1,3,7,6]=>{{1,4,5},{2,8},{3},{6},{7}}=>{{1,7},{2},{3},{4,5,8},{6}}
[3,1,2,6,8,5,7,4]=>[6,3,5,1,2,4,8,7]=>{{1,6},{2,3,5},{4},{7,8}}=>{{1,2},{3,8},{4,6,7},{5}}
[5,8,4,7,6,3,1,2]=>[5,8,7,4,3,6,1,2]=>{{1,5},{2,8},{3,7},{4},{6}}=>{{1,7},{2,6},{3},{4,8},{5}}
[5,8,7,1,4,2,6,3]=>[5,1,8,4,7,6,2,3]=>{{1,5,7},{2},{3,8},{4},{6}}=>{{1,6},{2,4,8},{3},{5},{7}}
[4,7,3,6,5,2,1,8]=>[4,7,6,3,2,8,1,5]=>{{1,4},{2,7},{3,6,8},{5}}=>{{1,3,6},{2,7},{4},{5,8}}
[1,8,3,6,2,7,5,4]=>[8,3,1,6,2,5,4,7]=>{{1,8},{2,3},{4,6},{5},{7}}=>{{1,8},{2},{3,5},{4},{6,7}}
[1,7,6,2,8,4,5,3]=>[7,1,6,2,8,4,3,5]=>{{1,7},{2},{3,6},{4},{5,8}}=>{{1,4},{2,8},{3,6},{5},{7}}
[5,2,6,3,7,4,1,8]=>[5,6,2,1,7,3,8,4]=>{{1,5,7,8},{2,6},{3},{4}}=>{{1,2,4,8},{3,7},{5},{6}}
[1,6,7,2,8,4,5,3]=>[6,4,7,1,8,2,3,5]=>{{1,6},{2,4},{3,7},{5,8}}=>{{1,4},{2,6},{3,8},{5,7}}
[5,7,1,8,2,4,6,3]=>[5,1,4,7,2,8,3,6]=>{{1,5},{2},{3,4,7},{6,8}}=>{{1,3},{2,5,6},{4,8},{7}}
[8,3,7,6,2,1,4,5]=>[3,4,8,7,6,2,5,1]=>{{1,3,8},{2,4,7},{5,6}}=>{{1,6,8},{2,5,7},{3,4}}
[8,2,4,1,6,5,3,7]=>[2,8,4,1,6,5,7,3]=>{{1,2,8},{3,4},{5,6},{7}}=>{{1,7,8},{2},{3,4},{5,6}}
[4,2,8,1,7,5,3,6]=>[4,8,5,2,7,1,6,3]=>{{1,4},{2,8},{3,5,7},{6}}=>{{1,7},{2,4,6},{3},{5,8}}
[8,7,1,5,6,2,4,3]=>[8,5,7,1,2,6,4,3]=>{{1,8},{2,5},{3,7},{4},{6}}=>{{1,8},{2,6},{3},{4,7},{5}}
[8,5,7,3,6,4,1,2]=>[5,8,7,3,6,1,4,2]=>{{1,5,6},{2,8},{3,7},{4}}=>{{1,7},{2,6},{3,4,8},{5}}
[8,1,2,6,4,3,7,5]=>[6,1,8,7,2,4,5,3]=>{{1,6},{2},{3,8},{4,7},{5}}=>{{1,6},{2,5},{3,8},{4},{7}}
[1,7,2,4,3,8,6,5]=>[7,4,1,8,2,6,3,5]=>{{1,7},{2,4,8},{3},{5},{6}}=>{{1,5,7},{2,8},{3},{4},{6}}
[1,8,7,6,5,2,4,3]=>[8,1,7,6,5,4,2,3]=>{{1,8},{2},{3,7},{4,6},{5}}=>{{1,8},{2,6},{3,5},{4},{7}}
[8,1,7,3,2,6,5,4]=>[8,3,1,7,6,2,5,4]=>{{1,8},{2,3},{4,7},{5,6}}=>{{1,8},{2,5},{3,4},{6,7}}
[7,4,8,3,1,6,2,5]=>[1,7,4,8,6,3,5,2]=>{{1},{2,7},{3,4,8},{5,6}}=>{{1,5,6},{2,7},{3,4},{8}}
[7,1,6,4,8,5,2,3]=>[7,8,4,1,6,2,5,3]=>{{1,7},{2,8},{3,4},{5,6}}=>{{1,7},{2,8},{3,4},{5,6}}
[1,3,7,2,6,8,4,5]=>[3,7,1,6,8,2,4,5]=>{{1,3},{2,7},{4,6},{5,8}}=>{{1,4},{2,7},{3,5},{6,8}}
[4,2,6,3,8,1,5,7]=>[2,4,6,3,5,1,8,7]=>{{1,2,4},{3,6},{5},{7,8}}=>{{1,2},{3,6},{4},{5,7,8}}
[7,3,5,2,1,8,6,4]=>[7,3,2,8,5,4,6,1]=>{{1,7},{2,3},{4,8},{5},{6}}=>{{1,5},{2,8},{3},{4},{6,7}}
[8,7,6,4,3,1,5,2]=>[4,1,8,7,6,5,3,2]=>{{1,4,7},{2},{3,8},{5,6}}=>{{1,6},{2,5,8},{3,4},{7}}
[8,7,6,4,1,5,2,3]=>[1,4,2,8,7,6,5,3]=>{{1},{2,4,8},{3},{5,7},{6}}=>{{1,5,7},{2,4},{3},{6},{8}}
[3,8,2,7,1,5,4,6]=>[3,8,5,7,2,6,1,4]=>{{1,3,5},{2,8},{4,7},{6}}=>{{1,7},{2,5},{3},{4,6,8}}
[4,2,8,1,5,7,3,6]=>[4,5,2,3,8,1,7,6]=>{{1,4},{2,5,8},{3},{6},{7}}=>{{1,4,7},{2},{3},{5,8},{6}}
[8,5,7,6,1,4,2,3]=>[1,8,5,7,6,2,4,3]=>{{1},{2,8},{3,5,6},{4,7}}=>{{1,7},{2,5},{3,4,6},{8}}
[1,6,2,8,7,3,5,4]=>[8,1,6,5,2,7,3,4]=>{{1,8},{2},{3,6,7},{4,5}}=>{{1,8},{2,3,6},{4,5},{7}}
[1,2,7,4,8,6,3,5]=>[7,8,4,1,6,2,3,5]=>{{1,7},{2,8},{3,4},{5,6}}=>{{1,7},{2,8},{3,4},{5,6}}
[1,2,7,8,3,6,5,4]=>[7,6,5,8,1,2,3,4]=>{{1,7},{2,6},{3,5},{4,8}}=>{{1,5},{2,8},{3,7},{4,6}}
[7,1,8,6,3,5,4,2]=>[7,6,1,5,3,2,8,4]=>{{1,7,8},{2,6},{3},{4,5}}=>{{1,2,8},{3,7},{4,5},{6}}
[7,1,3,4,2,6,8,5]=>[3,1,2,7,4,6,8,5]=>{{1,3},{2},{4,7,8},{5},{6}}=>{{1,2,5},{3},{4},{6,8},{7}}
[5,6,2,4,8,7,1,3]=>[5,6,2,1,4,8,3,7]=>{{1,5},{2,6,8},{3},{4},{7}}=>{{1,3,7},{2},{4,8},{5},{6}}
[4,6,8,1,3,5,2,7]=>[1,4,3,6,8,2,5,7]=>{{1},{2,4,6},{3},{5,8},{7}}=>{{1,4},{2},{3,5,7},{6},{8}}
[8,4,7,2,5,3,6,1]=>[8,4,7,5,6,2,3,1]=>{{1,8},{2,4,5,6},{3,7}}=>{{1,8},{2,6},{3,4,5,7}}
[4,7,8,1,2,3,6,5]=>[7,1,4,6,8,2,3,5]=>{{1,7},{2},{3,4,6},{5,8}}=>{{1,4},{2,8},{3,5,6},{7}}
[2,8,6,1,5,3,7,4]=>[2,1,8,6,7,5,3,4]=>{{1,2},{3,8},{4,6},{5,7}}=>{{1,6},{2,4},{3,5},{7,8}}
[7,2,6,4,1,3,8,5]=>[2,1,7,8,6,4,5,3]=>{{1,2},{3,7},{4,8},{5,6}}=>{{1,5},{2,6},{3,4},{7,8}}
[4,2,8,3,6,1,5,7]=>[2,4,8,3,6,1,7,5]=>{{1,2,4},{3,8},{5,6},{7}}=>{{1,6},{2},{3,4},{5,7,8}}
[6,8,5,3,1,4,2,7]=>[3,6,5,8,7,4,1,2]=>{{1,3,5,7},{2,6},{4,8}}=>{{1,5},{2,4,6,8},{3,7}}
[1,5,8,2,4,7,3,6]=>[5,8,1,4,7,2,3,6]=>{{1,5,7},{2,8},{3},{4},{6}}=>{{1,7},{2,4,8},{3},{5},{6}}
[1,5,8,2,4,6,7,3]=>[5,1,2,4,8,3,6,7]=>{{1,5,8},{2},{3},{4},{6},{7}}=>{{1,4,8},{2},{3},{5},{6},{7}}
[1,5,7,8,3,2,4,6]=>[5,7,8,3,1,2,4,6]=>{{1,5},{2,7},{3,8},{4},{6}}=>{{1,6},{2,7},{3},{4,8},{5}}
[1,5,6,2,4,8,7,3]=>[5,4,1,6,8,2,3,7]=>{{1,5,8},{2,4,6},{3},{7}}=>{{1,4,8},{2},{3,5,7},{6}}
[1,6,5,2,3,8,7,4]=>[6,5,1,2,8,7,3,4]=>{{1,6,7},{2,5,8},{3},{4}}=>{{1,4,7},{2,3,8},{5},{6}}
[1,6,4,2,3,7,5,8]=>[1,6,2,4,7,5,3,8]=>{{1},{2,6},{3},{4},{5,7},{8}}=>{{1},{2,4},{3,7},{5},{6},{8}}
[1,7,3,4,2,8,5,6]=>[1,7,3,8,4,5,2,6]=>{{1},{2,7},{3},{4,8},{5},{6}}=>{{1,5},{2,7},{3},{4},{6},{8}}
[1,6,4,2,3,8,5,7]=>[1,6,2,4,8,5,3,7]=>{{1},{2,6},{3},{4},{5,8},{7}}=>{{1,4},{2},{3,7},{5},{6},{8}}
[1,6,4,2,3,8,7,5]=>[6,4,1,2,8,7,3,5]=>{{1,6,7},{2,4},{3},{5,8}}=>{{1,4},{2,3,8},{5,7},{6}}
[8,2,3,7,5,6,1,4]=>[2,8,1,7,3,5,6,4]=>{{1,2,8},{3},{4,7},{5},{6}}=>{{1,7,8},{2,5},{3},{4},{6}}
[6,1,8,3,7,2,5,4]=>[8,6,7,1,3,2,5,4]=>{{1,8},{2,6},{3,7},{4},{5}}=>{{1,8},{2,6},{3,7},{4},{5}}
[8,5,7,6,3,2,1,4]=>[5,8,7,6,3,2,4,1]=>{{1,5},{2,8},{3,7},{4,6}}=>{{1,7},{2,6},{3,5},{4,8}}
[3,7,5,8,6,2,1,4]=>[7,8,3,2,1,5,4,6]=>{{1,7},{2,8},{3},{4},{5},{6}}=>{{1,7},{2,8},{3},{4},{5},{6}}
[3,5,4,8,6,7,1,2]=>[5,8,3,4,1,6,2,7]=>{{1,5},{2,8},{3},{4},{6},{7}}=>{{1,7},{2},{3},{4,8},{5},{6}}
[1,6,2,7,5,8,3,4]=>[6,7,1,5,2,8,3,4]=>{{1,6,8},{2,7},{3},{4,5}}=>{{1,3,8},{2,7},{4,5},{6}}
[1,5,4,8,6,7,2,3]=>[5,8,1,4,2,6,3,7]=>{{1,5},{2,8},{3},{4},{6},{7}}=>{{1,7},{2},{3},{4,8},{5},{6}}
[1,8,2,6,5,7,3,4]=>[6,8,1,7,2,5,3,4]=>{{1,6},{2,8},{3},{4,7},{5}}=>{{1,7},{2,5},{3,8},{4},{6}}
[1,7,2,8,5,6,3,4]=>[7,8,1,5,2,6,3,4]=>{{1,7},{2,8},{3},{4,5},{6}}=>{{1,7},{2,8},{3},{4,5},{6}}
[1,7,2,6,5,8,3,4]=>[7,8,1,6,2,5,3,4]=>{{1,7},{2,8},{3},{4,6},{5}}=>{{1,7},{2,8},{3,5},{4},{6}}
[1,5,2,7,6,8,3,4]=>[5,7,1,6,2,8,3,4]=>{{1,5},{2,7},{3},{4,6,8}}=>{{1,3,5},{2,7},{4,8},{6}}
[1,7,6,8,4,5,2,3]=>[7,8,4,6,1,5,2,3]=>{{1,7},{2,8},{3,4,6},{5}}=>{{1,7},{2,8},{3,5,6},{4}}
[1,3,2,7,6,8,4,5]=>[3,7,1,6,2,8,4,5]=>{{1,3},{2,7},{4,6,8},{5}}=>{{1,3,5},{2,7},{4},{6,8}}
[7,8,1,3,2,6,4,5]=>[1,7,3,8,4,6,2,5]=>{{1},{2,7},{3},{4,8},{5},{6}}=>{{1,5},{2,7},{3},{4},{6},{8}}
[7,8,1,4,2,5,3,6]=>[1,7,4,8,5,6,2,3]=>{{1},{2,7},{3,4,8},{5},{6}}=>{{1,5,6},{2,7},{3},{4},{8}}
[7,6,5,4,3,1,8,2]=>[7,1,8,6,5,4,3,2]=>{{1,7},{2},{3,8},{4,6},{5}}=>{{1,6},{2,8},{3,5},{4},{7}}
[6,8,5,4,1,2,7,3]=>[6,1,5,8,7,4,2,3]=>{{1,6},{2},{3,5,7},{4,8}}=>{{1,5},{2,4,6},{3,8},{7}}
[5,3,6,8,1,7,2,4]=>[5,6,3,8,1,2,7,4]=>{{1,5},{2,6},{3},{4,8},{7}}=>{{1,5},{2},{3,7},{4,8},{6}}
[2,5,3,7,4,1,8,6]=>[5,2,7,3,1,8,4,6]=>{{1,5},{2},{3,7},{4},{6,8}}=>{{1,3},{2,6},{4,8},{5},{7}}
[8,1,7,4,2,5,6,3]=>[4,1,2,8,7,5,6,3]=>{{1,4,8},{2},{3},{5,7},{6}}=>{{1,5,8},{2,4},{3},{6},{7}}
[4,1,7,2,8,5,6,3]=>[7,1,4,2,5,3,8,6]=>{{1,7,8},{2},{3,4},{5},{6}}=>{{1,2,8},{3},{4},{5,6},{7}}
[3,4,7,2,8,5,6,1]=>[3,2,7,1,8,4,5,6]=>{{1,3,7},{2},{4},{5,8},{6}}=>{{1,4},{2,6,8},{3},{5},{7}}
[7,2,3,4,8,5,6,1]=>[7,2,3,1,4,5,8,6]=>{{1,7,8},{2},{3},{4},{5},{6}}=>{{1,2,8},{3},{4},{5},{6},{7}}
[6,8,4,2,1,3,7,5]=>[6,2,4,8,7,3,1,5]=>{{1,6},{2},{3,4,8},{5,7}}=>{{1,5,6},{2,4},{3,8},{7}}
[5,3,8,6,2,1,4,7]=>[5,6,8,3,2,1,7,4]=>{{1,5},{2,6},{3,8},{4},{7}}=>{{1,6},{2},{3,7},{4,8},{5}}
[6,8,5,2,7,4,3,1]=>[6,5,4,2,8,7,1,3]=>{{1,6,7},{2,5,8},{3,4}}=>{{1,4,7},{2,3,8},{5,6}}
[4,3,8,6,2,5,1,7]=>[4,6,3,8,2,1,7,5]=>{{1,4,8},{2,6},{3},{5},{7}}=>{{1,5,8},{2},{3,7},{4},{6}}
[8,7,4,3,1,6,2,5]=>[1,4,3,8,7,6,5,2]=>{{1},{2,4,8},{3},{5,7},{6}}=>{{1,5,7},{2,4},{3},{6},{8}}
[4,6,5,2,8,1,7,3]=>[6,4,8,2,5,3,1,7]=>{{1,6},{2,4},{3,8},{5},{7}}=>{{1,6},{2},{3,8},{4},{5,7}}
[4,5,8,1,2,3,7,6]=>[8,1,4,5,7,2,3,6]=>{{1,8},{2},{3,4,5,7},{6}}=>{{1,8},{2,4,5,6},{3},{7}}
[4,2,7,1,8,6,3,5]=>[4,7,2,1,8,3,6,5]=>{{1,4},{2,7},{3},{5,8},{6}}=>{{1,4},{2,7},{3},{5,8},{6}}
[2,4,1,8,6,3,7,5]=>[2,1,8,4,3,6,5,7]=>{{1,2},{3,8},{4},{5},{6},{7}}=>{{1,6},{2},{3},{4},{5},{7,8}}
[4,5,8,7,3,6,1,2]=>[4,8,3,7,5,1,2,6]=>{{1,4,7},{2,8},{3},{5},{6}}=>{{1,7},{2,5,8},{3},{4},{6}}
[4,2,1,8,5,6,7,3]=>[4,2,5,6,1,8,7,3]=>{{1,4,6,8},{2},{3,5},{7}}=>{{1,3,5,8},{2},{4,6},{7}}
[6,5,4,8,7,1,3,2]=>[6,5,8,4,1,7,3,2]=>{{1,6,7},{2,5},{3,8},{4}}=>{{1,6},{2,3,8},{4,7},{5}}
[6,5,4,7,1,2,8,3]=>[6,1,7,8,2,5,4,3]=>{{1,6},{2},{3,7},{4,8},{5}}=>{{1,5},{2,6},{3,8},{4},{7}}
[6,4,3,1,5,8,7,2]=>[6,4,1,5,8,7,3,2]=>{{1,6,7},{2,4,5,8},{3}}=>{{1,4,5,7},{2,3,8},{6}}
[7,4,1,5,3,2,6,8]=>[4,5,7,6,1,8,3,2]=>{{1,4,6,8},{2,5},{3,7}}=>{{1,3,5,8},{2,6},{4,7}}
[7,4,1,5,3,6,2,8]=>[4,7,5,6,1,8,3,2]=>{{1,4,6,8},{2,7},{3,5}}=>{{1,3,5,8},{2,7},{4,6}}
[6,7,3,8,4,5,1,2]=>[6,7,3,4,1,8,2,5]=>{{1,6,8},{2,7},{3},{4},{5}}=>{{1,3,8},{2,7},{4},{5},{6}}
[6,7,4,5,1,8,2,3]=>[6,7,1,8,4,5,2,3]=>{{1,6},{2,7},{3},{4,8},{5}}=>{{1,5},{2,7},{3,8},{4},{6}}
[4,7,5,6,1,8,2,3]=>[4,5,1,7,2,6,3,8]=>{{1,4,7},{2,5},{3},{6},{8}}=>{{1},{2,5,8},{3},{4,7},{6}}
[4,5,3,8,6,7,1,2]=>[4,8,3,5,1,6,2,7]=>{{1,4,5},{2,8},{3},{6},{7}}=>{{1,7},{2},{3},{4,5,8},{6}}
[5,6,1,8,2,7,3,4]=>[1,8,5,6,2,7,3,4]=>{{1},{2,8},{3,5},{4,6,7}}=>{{1,7},{2,3,5},{4,6},{8}}
[7,8,4,5,1,6,2,3]=>[4,7,1,8,5,6,2,3]=>{{1,4,8},{2,7},{3},{5},{6}}=>{{1,5,8},{2,7},{3},{4},{6}}
[5,6,3,4,1,8,2,7]=>[5,6,3,8,4,7,1,2]=>{{1,5},{2,6,7},{3},{4,8}}=>{{1,5},{2,3,7},{4,8},{6}}
[1,7,3,6,4,8,2,5]=>[7,8,1,6,3,4,2,5]=>{{1,7},{2,8},{3},{4,6},{5}}=>{{1,7},{2,8},{3,5},{4},{6}}
[1,7,5,8,4,6,2,3]=>[7,8,5,6,1,4,2,3]=>{{1,7},{2,8},{3,5},{4,6}}=>{{1,7},{2,8},{3,5},{4,6}}
[7,8,2,3,1,6,4,5]=>[2,7,3,8,4,6,1,5]=>{{1,2,7},{3},{4,8},{5},{6}}=>{{1,5},{2,7,8},{3},{4},{6}}
[4,5,3,6,1,8,2,7]=>[4,5,1,8,3,6,2,7]=>{{1,4,8},{2,5},{3},{6},{7}}=>{{1,5,8},{2},{3},{4,7},{6}}
[8,6,7,1,4,2,5,3]=>[6,1,8,4,7,2,5,3]=>{{1,6},{2},{3,8},{4},{5,7}}=>{{1,6},{2,4},{3,8},{5},{7}}
[8,6,3,7,5,1,2,4]=>[1,6,8,3,2,7,5,4]=>{{1},{2,6,7},{3,8},{4},{5}}=>{{1,6},{2,3,7},{4},{5},{8}}
[7,6,1,8,3,5,2,4]=>[7,8,1,3,2,6,5,4]=>{{1,7},{2,8},{3},{4},{5},{6}}=>{{1,7},{2,8},{3},{4},{5},{6}}
[7,6,2,8,3,5,1,4]=>[7,8,2,3,1,6,5,4]=>{{1,7},{2,8},{3},{4},{5},{6}}=>{{1,7},{2,8},{3},{4},{5},{6}}
[7,6,2,3,8,5,1,4]=>[7,8,2,1,3,6,5,4]=>{{1,7},{2,8},{3},{4},{5},{6}}=>{{1,7},{2,8},{3},{4},{5},{6}}
[8,7,1,5,2,6,3,4]=>[1,5,2,8,3,7,6,4]=>{{1},{2,5},{3},{4,8},{6,7}}=>{{1,5},{2,3},{4,7},{6},{8}}
[8,7,1,5,2,3,6,4]=>[5,1,2,8,3,7,6,4]=>{{1,5},{2},{3},{4,8},{6,7}}=>{{1,5},{2,3},{4,8},{6},{7}}
[8,5,2,3,1,7,6,4]=>[5,2,1,8,3,7,6,4]=>{{1,5},{2},{3},{4,8},{6,7}}=>{{1,5},{2,3},{4,8},{6},{7}}
[8,6,2,3,7,1,5,4]=>[6,2,8,1,3,7,5,4]=>{{1,6,7},{2},{3,8},{4},{5}}=>{{1,6},{2,3,8},{4},{5},{7}}
[8,6,2,7,3,1,5,4]=>[6,2,8,3,1,7,5,4]=>{{1,6,7},{2},{3,8},{4},{5}}=>{{1,6},{2,3,8},{4},{5},{7}}
[8,7,2,5,1,6,3,4]=>[2,5,1,8,3,7,6,4]=>{{1,2,5},{3},{4,8},{6,7}}=>{{1,5},{2,3},{4,7,8},{6}}
[8,4,2,1,7,6,3,5]=>[2,4,3,1,8,7,6,5]=>{{1,2,4},{3},{5,8},{6,7}}=>{{1,4},{2,3},{5,7,8},{6}}
[8,5,7,2,1,4,3,6]=>[2,5,4,8,7,1,6,3]=>{{1,2,5,7},{3,4,8},{6}}=>{{1,5,6},{2,4,7,8},{3}}
[5,8,7,3,1,4,2,6]=>[3,5,4,8,7,6,1,2]=>{{1,3,4,8},{2,5,7},{6}}=>{{1,5,6,8},{2,4,7},{3}}
[5,8,7,3,1,4,6,2]=>[5,3,4,8,7,6,1,2]=>{{1,5,7},{2,3,4,8},{6}}=>{{1,5,6,7},{2,4,8},{3}}
[8,5,7,2,1,4,6,3]=>[5,2,4,8,7,1,6,3]=>{{1,5,7},{2},{3,4,8},{6}}=>{{1,5,6},{2,4,8},{3},{7}}
[8,4,2,1,3,7,6,5]=>[4,2,1,3,8,7,6,5]=>{{1,4},{2},{3},{5,8},{6,7}}=>{{1,4},{2,3},{5,8},{6},{7}}
[8,4,3,1,7,2,6,5]=>[4,1,3,2,8,7,6,5]=>{{1,4},{2},{3},{5,8},{6,7}}=>{{1,4},{2,3},{5,8},{6},{7}}
[8,6,1,3,7,2,5,4]=>[6,3,8,1,2,7,5,4]=>{{1,6,7},{2,3,8},{4},{5}}=>{{1,6,7},{2,3,8},{4},{5}}
[8,5,1,3,2,7,6,4]=>[5,3,1,8,2,7,6,4]=>{{1,5},{2,3},{4,8},{6,7}}=>{{1,5},{2,3},{4,8},{6,7}}
[6,1,5,8,4,2,7,3]=>[6,5,8,7,1,2,4,3]=>{{1,6},{2,5},{3,8},{4,7}}=>{{1,6},{2,5},{3,8},{4,7}}
[5,2,8,6,4,1,3,7]=>[5,6,8,7,2,1,4,3]=>{{1,5},{2,6},{3,8},{4,7}}=>{{1,6},{2,5},{3,7},{4,8}}
[8,4,7,5,1,6,2,3]=>[4,5,1,8,7,2,6,3]=>{{1,4,8},{2,5,7},{3},{6}}=>{{1,5,8},{2,4,7},{3},{6}}
[8,4,7,5,1,2,3,6]=>[1,4,5,8,7,2,6,3]=>{{1},{2,4,8},{3,5,7},{6}}=>{{1,5,7},{2,4,6},{3},{8}}
[8,7,3,5,1,2,6,4]=>[3,1,5,8,2,7,6,4]=>{{1,3,5},{2},{4,8},{6,7}}=>{{1,5},{2,3},{4,6,8},{7}}
[8,3,2,6,5,1,4,7]=>[3,6,8,2,1,7,5,4]=>{{1,3,8},{2,6,7},{4},{5}}=>{{1,6,8},{2,3,7},{4},{5}}
[4,8,6,3,5,1,2,7]=>[4,6,8,3,7,5,1,2]=>{{1,4},{2,6},{3,8},{5,7}}=>{{1,6},{2,4},{3,7},{5,8}}
[4,8,7,3,1,5,2,6]=>[4,5,3,8,7,6,1,2]=>{{1,4,8},{2,5,7},{3},{6}}=>{{1,5,8},{2,4,7},{3},{6}}
[8,4,7,2,1,5,3,6]=>[4,5,2,8,7,1,6,3]=>{{1,4,8},{2,5,7},{3},{6}}=>{{1,5,8},{2,4,7},{3},{6}}
[8,3,2,7,1,5,4,6]=>[3,5,2,8,1,7,6,4]=>{{1,3},{2,5},{4,8},{6,7}}=>{{1,5},{2,3},{4,7},{6,8}}
[8,7,3,1,4,2,6,5]=>[3,1,4,2,8,7,6,5]=>{{1,3,4},{2},{5,8},{6,7}}=>{{1,4},{2,3},{5,6,8},{7}}
[8,7,3,1,2,6,4,5]=>[1,3,2,4,8,7,6,5]=>{{1},{2,3},{4},{5,8},{6,7}}=>{{1,4},{2,3},{5},{6,7},{8}}
[8,7,3,1,2,4,6,5]=>[3,1,2,4,8,7,6,5]=>{{1,3},{2},{4},{5,8},{6,7}}=>{{1,4},{2,3},{5},{6,8},{7}}
[8,3,2,1,4,7,6,5]=>[3,2,1,4,8,7,6,5]=>{{1,3},{2},{4},{5,8},{6,7}}=>{{1,4},{2,3},{5},{6,8},{7}}
[8,3,2,1,7,4,6,5]=>[3,2,4,1,8,7,6,5]=>{{1,3,4},{2},{5,8},{6,7}}=>{{1,4},{2,3},{5,6,8},{7}}
[8,3,2,7,1,5,6,4]=>[3,2,5,8,1,7,6,4]=>{{1,3,5},{2},{4,8},{6,7}}=>{{1,5},{2,3},{4,6,8},{7}}
[8,4,7,2,1,5,6,3]=>[4,2,5,8,7,1,6,3]=>{{1,4,8},{2},{3,5,7},{6}}=>{{1,5,8},{2,4,6},{3},{7}}
[3,8,7,4,1,2,5,6]=>[3,4,5,8,7,6,1,2]=>{{1,3,5,7},{2,4,8},{6}}=>{{1,5,7},{2,4,6,8},{3}}
[8,7,2,1,6,3,4,5]=>[2,3,4,1,8,7,6,5]=>{{1,2,3,4},{5,8},{6,7}}=>{{1,4},{2,3},{5,6,7,8}}
[4,7,5,8,6,2,1,3]=>[7,8,4,2,1,5,3,6]=>{{1,7},{2,8},{3,4},{5},{6}}=>{{1,7},{2,8},{3},{4},{5,6}}
[6,4,7,8,5,3,2,1]=>[6,4,3,2,1,7,8,5]=>{{1,6,7,8},{2,4},{3},{5}}=>{{1,2,3,8},{4},{5,7},{6}}
[2,4,8,5,7,1,3,6]=>[2,4,8,1,7,3,5,6]=>{{1,2,4},{3,8},{5,7},{6}}=>{{1,6},{2,4},{3},{5,7,8}}
[7,8,2,5,6,1,4,3]=>[7,5,8,2,4,6,1,3]=>{{1,7},{2,5},{3,8},{4},{6}}=>{{1,6},{2,8},{3},{4,7},{5}}
[8,5,7,1,6,3,2,4]=>[1,8,7,5,6,3,4,2]=>{{1},{2,8},{3,7},{4,5,6}}=>{{1,7},{2,6},{3,4,5},{8}}
[6,5,8,2,1,7,3,4]=>[2,6,5,8,7,3,4,1]=>{{1,2,6},{3,5,7},{4,8}}=>{{1,5},{2,4,6},{3,7,8}}
[4,1,6,3,5,8,7,2]=>[4,3,1,2,6,5,8,7]=>{{1,4},{2,3},{5,6},{7,8}}=>{{1,2},{3,4},{5,8},{6,7}}
[6,2,5,8,4,3,7,1]=>[6,5,8,4,2,3,7,1]=>{{1,6},{2,5},{3,8},{4},{7}}=>{{1,6},{2},{3,8},{4,7},{5}}
[2,1,6,5,8,4,7,3]=>[6,2,5,1,4,3,8,7]=>{{1,6},{2},{3,5},{4},{7,8}}=>{{1,2},{3,8},{4,6},{5},{7}}
[7,4,8,6,3,2,5,1]=>[7,4,8,3,2,1,6,5]=>{{1,7},{2,4},{3,8},{5},{6}}=>{{1,6},{2,8},{3},{4},{5,7}}
[2,8,3,1,6,4,5,7]=>[2,3,4,1,8,6,5,7]=>{{1,2,3,4},{5,8},{6},{7}}=>{{1,4},{2},{3},{5,6,7,8}}
[1,2,3,8,4,5,7,6]=>[8,1,2,7,3,4,5,6]=>{{1,8},{2},{3},{4,7},{5},{6}}=>{{1,8},{2,5},{3},{4},{6},{7}}
[1,2,8,3,4,5,7,6]=>[8,1,2,3,7,4,5,6]=>{{1,8},{2},{3},{4},{5,7},{6}}=>{{1,8},{2,4},{3},{5},{6},{7}}
[1,6,7,8,2,3,5,4]=>[6,5,7,8,1,2,3,4]=>{{1,6},{2,5},{3,7},{4,8}}=>{{1,5},{2,6},{3,8},{4,7}}
[1,2,7,8,3,6,4,5]=>[1,7,6,8,2,3,4,5]=>{{1},{2,7},{3,6},{4,8},{5}}=>{{1,5},{2,7},{3,6},{4},{8}}
[6,7,4,5,1,2,8,3]=>[6,1,7,8,4,5,2,3]=>{{1,6},{2},{3,7},{4,8},{5}}=>{{1,5},{2,6},{3,8},{4},{7}}
[6,7,5,4,1,2,8,3]=>[6,1,7,8,5,4,2,3]=>{{1,6},{2},{3,7},{4,8},{5}}=>{{1,5},{2,6},{3,8},{4},{7}}
[6,5,7,4,1,2,8,3]=>[6,1,7,8,5,2,4,3]=>{{1,6},{2},{3,7},{4,8},{5}}=>{{1,5},{2,6},{3,8},{4},{7}}
[6,4,7,5,1,2,8,3]=>[6,1,7,8,4,2,5,3]=>{{1,6},{2},{3,7},{4,8},{5}}=>{{1,5},{2,6},{3,8},{4},{7}}
[5,2,1,8,6,7,3,4]=>[5,6,2,3,1,8,7,4]=>{{1,5},{2,6,8},{3},{4},{7}}=>{{1,3,7},{2},{4,8},{5},{6}}
[5,7,3,1,6,8,2,4]=>[5,7,1,3,8,6,2,4]=>{{1,5,8},{2,7},{3},{4},{6}}=>{{1,4,8},{2,7},{3},{5},{6}}
[5,2,1,6,8,7,3,4]=>[5,6,2,1,3,8,7,4]=>{{1,5},{2,6,8},{3},{4},{7}}=>{{1,3,7},{2},{4,8},{5},{6}}
[5,3,7,1,8,6,2,4]=>[5,7,3,1,8,2,6,4]=>{{1,5,8},{2,7},{3},{4},{6}}=>{{1,4,8},{2,7},{3},{5},{6}}
[4,2,7,6,3,5,1,8]=>[2,7,4,6,3,1,8,5]=>{{1,2,7,8},{3,4,6},{5}}=>{{1,2,7,8},{3,5,6},{4}}
[1,2,3,8,6,4,7,5]=>[6,1,8,7,2,3,4,5]=>{{1,6},{2},{3,8},{4,7},{5}}=>{{1,6},{2,5},{3,8},{4},{7}}
[1,2,3,7,4,8,6,5]=>[7,6,1,8,2,3,4,5]=>{{1,7},{2,6},{3},{4,8},{5}}=>{{1,5},{2,8},{3,7},{4},{6}}
[1,2,3,6,4,8,7,5]=>[8,6,1,7,2,3,4,5]=>{{1,8},{2,6},{3},{4,7},{5}}=>{{1,8},{2,5},{3,7},{4},{6}}
[1,2,3,7,6,4,8,5]=>[7,1,8,6,2,3,4,5]=>{{1,7},{2},{3,8},{4,6},{5}}=>{{1,6},{2,8},{3,5},{4},{7}}
[4,2,6,3,1,8,5,7]=>[2,4,3,6,5,1,8,7]=>{{1,2,4,6},{3},{5},{7,8}}=>{{1,2},{3,5,7,8},{4},{6}}
[4,2,1,8,3,5,7,6]=>[4,2,3,5,1,8,7,6]=>{{1,4,5},{2},{3},{6,8},{7}}=>{{1,3},{2},{4,5,8},{6},{7}}
[1,8,7,4,2,3,5,6]=>[1,2,4,8,7,5,3,6]=>{{1},{2},{3,4,8},{5,7},{6}}=>{{1,5,6},{2,4},{3},{7},{8}}
[1,2,3,8,4,7,6,5]=>[8,7,1,6,2,3,4,5]=>{{1,8},{2,7},{3},{4,6},{5}}=>{{1,8},{2,7},{3,5},{4},{6}}
[4,2,1,8,3,7,5,6]=>[2,4,3,5,1,8,7,6]=>{{1,2,4,5},{3},{6,8},{7}}=>{{1,3},{2},{4,5,7,8},{6}}
[1,2,3,8,7,4,6,5]=>[8,1,7,6,2,3,4,5]=>{{1,8},{2},{3,7},{4,6},{5}}=>{{1,8},{2,6},{3,5},{4},{7}}
[1,2,3,8,7,6,4,5]=>[1,8,7,6,2,3,4,5]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1,7},{2,6},{3,5},{4},{8}}
[3,8,5,7,1,2,6,4]=>[8,3,5,7,1,6,2,4]=>{{1,8},{2,3,5},{4,7},{6}}=>{{1,8},{2,5},{3},{4,6,7}}
[3,8,5,7,2,6,4,1]=>[8,7,3,5,2,4,1,6]=>{{1,8},{2,7},{3},{4,5},{6}}=>{{1,8},{2,7},{3},{4,5},{6}}
[2,4,8,1,5,7,6,3]=>[8,7,2,4,5,1,3,6]=>{{1,8},{2,7},{3},{4},{5},{6}}=>{{1,8},{2,7},{3},{4},{5},{6}}
[3,5,7,6,2,4,8,1]=>[7,3,5,6,2,1,4,8]=>{{1,7},{2,3,5},{4,6},{8}}=>{{1},{2,8},{3,5},{4,6,7}}
[4,8,6,7,1,2,3,5]=>[1,4,6,8,2,7,3,5]=>{{1},{2,4,8},{3,6,7},{5}}=>{{1,5,7},{2,3,6},{4},{8}}
[3,4,8,6,1,5,7,2]=>[8,3,4,6,5,1,2,7]=>{{1,8},{2,3,4,6},{5},{7}}=>{{1,8},{2},{3,5,6,7},{4}}
[3,8,5,7,1,6,4,2]=>[8,7,3,5,1,4,2,6]=>{{1,8},{2,7},{3},{4,5},{6}}=>{{1,8},{2,7},{3},{4,5},{6}}
[3,8,5,7,2,1,6,4]=>[3,2,8,7,1,5,4,6]=>{{1,3,8},{2},{4,7},{5},{6}}=>{{1,6,8},{2,5},{3},{4},{7}}
[5,8,6,7,3,4,2,1]=>[8,5,3,6,2,4,1,7]=>{{1,8},{2,5},{3},{4,6},{7}}=>{{1,8},{2},{3,5},{4,7},{6}}
[4,3,8,5,2,6,7,1]=>[4,3,5,6,2,1,8,7]=>{{1,4,6},{2,3,5},{7,8}}=>{{1,2},{3,5,8},{4,6,7}}
[7,3,5,8,1,4,2,6]=>[3,7,5,8,1,4,6,2]=>{{1,3,5},{2,7},{4,8},{6}}=>{{1,5},{2,7},{3},{4,6,8}}
[5,1,8,3,6,7,2,4]=>[5,8,1,3,6,2,7,4]=>{{1,5,6},{2,8},{3},{4},{7}}=>{{1,7},{2},{3,4,8},{5},{6}}
[1,4,7,8,5,6,2,3]=>[7,8,4,5,1,2,3,6]=>{{1,7},{2,8},{3,4,5},{6}}=>{{1,7},{2,8},{3},{4,5,6}}
[7,1,8,6,3,5,2,4]=>[7,8,1,6,3,2,5,4]=>{{1,7},{2,8},{3},{4,6},{5}}=>{{1,7},{2,8},{3,5},{4},{6}}
[1,3,8,6,2,7,5,4]=>[8,3,1,6,5,2,4,7]=>{{1,8},{2,3},{4,6},{5},{7}}=>{{1,8},{2},{3,5},{4},{6,7}}
[3,7,2,4,5,1,6,8]=>[3,4,5,2,7,8,1,6]=>{{1,3,5,7},{2,4},{6,8}}=>{{1,3},{2,4,6,8},{5,7}}
[4,3,7,8,5,1,6,2]=>[4,3,7,5,1,2,8,6]=>{{1,4,5},{2,3,7,8},{6}}=>{{1,2,6,7},{3},{4,5,8}}
[5,4,8,2,7,6,1,3]=>[5,8,4,2,7,1,6,3]=>{{1,5,7},{2,8},{3,4},{6}}=>{{1,7},{2,4,8},{3},{5,6}}
[3,6,7,2,4,8,1,5]=>[3,6,2,4,7,1,5,8]=>{{1,3},{2,6},{4},{5,7},{8}}=>{{1},{2,4},{3,7},{5},{6,8}}
[7,4,2,1,6,8,5,3]=>[4,2,1,7,8,6,5,3]=>{{1,4,7},{2},{3},{5,8},{6}}=>{{1,4},{2,5,8},{3},{6},{7}}
[1,7,6,8,3,2,5,4]=>[7,3,8,6,1,5,2,4]=>{{1,7},{2,3,8},{4,6},{5}}=>{{1,6,7},{2,8},{3,5},{4}}
[7,6,8,2,3,1,5,4]=>[7,2,8,3,6,1,5,4]=>{{1,7},{2},{3,8},{4},{5,6}}=>{{1,6},{2,8},{3,4},{5},{7}}
[7,8,4,2,1,5,6,3]=>[7,4,5,8,6,2,1,3]=>{{1,7},{2,4,8},{3,5,6}}=>{{1,5,7},{2,8},{3,4,6}}
[6,2,3,4,7,8,1,5]=>[6,7,2,3,4,5,8,1]=>{{1,6},{2,7,8},{3},{4},{5}}=>{{1,2,7},{3,8},{4},{5},{6}}
[7,8,3,4,6,2,1,5]=>[7,8,3,2,4,6,1,5]=>{{1,7},{2,8},{3},{4},{5},{6}}=>{{1,7},{2,8},{3},{4},{5},{6}}
[6,4,3,8,7,5,1,2]=>[6,8,4,3,1,7,5,2]=>{{1,6,7},{2,8},{3,4},{5}}=>{{1,7},{2,3,8},{4},{5,6}}
[5,7,2,3,6,1,8,4]=>[5,2,7,3,6,8,1,4]=>{{1,5,6,8},{2},{3,7},{4}}=>{{1,3,4,8},{2,6},{5},{7}}
[4,5,6,8,3,2,1,7]=>[4,8,3,2,1,5,6,7]=>{{1,4},{2,8},{3},{5},{6},{7}}=>{{1,7},{2},{3},{4},{5,8},{6}}
[4,6,8,5,3,2,1,7]=>[6,8,4,3,2,1,5,7]=>{{1,6},{2,8},{3,4},{5},{7}}=>{{1,7},{2},{3,8},{4},{5,6}}
[5,8,6,4,3,7,1,2]=>[5,8,1,6,4,3,2,7]=>{{1,5},{2,8},{3},{4,6},{7}}=>{{1,7},{2},{3,5},{4,8},{6}}
[4,7,8,5,3,2,1,6]=>[7,8,4,3,2,1,5,6]=>{{1,7},{2,8},{3,4},{5},{6}}=>{{1,7},{2,8},{3},{4},{5,6}}
[5,8,1,7,4,2,3,6]=>[1,2,8,5,4,7,3,6]=>{{1},{2},{3,8},{4,5},{6,7}}=>{{1,6},{2,3},{4,5},{7},{8}}
[4,3,8,2,7,5,6,1]=>[4,3,5,2,8,1,7,6]=>{{1,4},{2,3,5,8},{6},{7}}=>{{1,4,6,7},{2},{3},{5,8}}
[4,1,8,7,3,5,2,6]=>[1,8,4,5,3,2,7,6]=>{{1},{2,8},{3,4,5},{6},{7}}=>{{1,7},{2},{3},{4,5,6},{8}}
[7,3,8,1,5,4,6,2]=>[7,3,5,4,8,1,6,2]=>{{1,7},{2,3,5,8},{4},{6}}=>{{1,4,6,7},{2,8},{3},{5}}
[3,4,8,1,6,2,5,7]=>[3,4,8,6,7,1,2,5]=>{{1,3,8},{2,4,6},{5,7}}=>{{1,6,8},{2,4},{3,5,7}}
[4,7,1,8,5,2,3,6]=>[1,4,7,5,2,8,3,6]=>{{1},{2,4,5},{3,7},{6,8}}=>{{1,3},{2,6},{4,5,7},{8}}
[4,3,7,8,5,2,1,6]=>[4,7,3,2,1,5,8,6]=>{{1,4},{2,7,8},{3},{5},{6}}=>{{1,2,7},{3},{4},{5,8},{6}}
[6,2,8,7,4,3,5,1]=>[8,2,6,4,3,1,7,5]=>{{1,8},{2},{3,6},{4},{5},{7}}=>{{1,8},{2},{3,6},{4},{5},{7}}
[3,2,1,4,8,6,5,7]=>[3,4,2,1,6,8,7,5]=>{{1,3},{2,4},{5,6,8},{7}}=>{{1,3,4},{2},{5,7},{6,8}}
[6,7,2,8,3,5,4,1]=>[6,5,2,7,1,8,3,4]=>{{1,6,8},{2,5},{3},{4,7}}=>{{1,3,8},{2,5},{4,7},{6}}
[5,4,3,7,2,8,1,6]=>[5,7,4,6,3,8,2,1]=>{{1,5},{2,7},{3,4,6,8}}=>{{1,3,5,6},{2,7},{4,8}}
[4,6,8,3,7,2,5,1]=>[4,3,8,2,6,1,5,7]=>{{1,4},{2,3,8},{5,6},{7}}=>{{1,6,7},{2},{3,4},{5,8}}
[8,5,4,7,6,2,1,3]=>[5,8,7,4,2,6,3,1]=>{{1,5},{2,8},{3,7},{4},{6}}=>{{1,7},{2,6},{3},{4,8},{5}}
[1,6,7,3,2,5,8,4]=>[6,1,3,7,5,2,4,8]=>{{1,6},{2},{3},{4,7},{5},{8}}=>{{1},{2,5},{3,8},{4},{6},{7}}
[3,2,6,8,5,7,4,1]=>[6,3,2,5,1,4,8,7]=>{{1,6},{2,3},{4,5},{7,8}}=>{{1,2},{3,8},{4,5},{6,7}}
[1,6,4,7,2,3,8,5]=>[6,1,7,8,2,4,3,5]=>{{1,6},{2},{3,7},{4,8},{5}}=>{{1,5},{2,6},{3,8},{4},{7}}
[4,2,7,6,3,8,1,5]=>[4,7,2,6,3,1,8,5]=>{{1,4,6},{2,7,8},{3},{5}}=>{{1,2,7},{3,5,8},{4},{6}}
[3,2,6,8,7,4,5,1]=>[8,3,6,2,1,4,7,5]=>{{1,8},{2,3,6},{4},{5},{7}}=>{{1,8},{2},{3,6,7},{4},{5}}
[8,4,3,7,6,2,1,5]=>[4,8,7,3,2,6,5,1]=>{{1,4},{2,8},{3,7},{5},{6}}=>{{1,7},{2,6},{3},{4},{5,8}}
[8,3,5,2,7,6,1,4]=>[3,8,2,1,7,5,6,4]=>{{1,3},{2,8},{4},{5,7},{6}}=>{{1,7},{2,4},{3},{5},{6,8}}
[6,8,3,1,7,5,2,4]=>[1,8,6,3,7,5,2,4]=>{{1},{2,8},{3,6},{4},{5,7}}=>{{1,7},{2,4},{3,6},{5},{8}}
[7,4,8,1,6,2,5,3]=>[7,1,6,4,8,2,5,3]=>{{1,7},{2},{3,6},{4},{5,8}}=>{{1,4},{2,8},{3,6},{5},{7}}
[8,6,7,5,1,4,3,2]=>[8,6,5,7,4,1,3,2]=>{{1,8},{2,6},{3,5},{4,7}}=>{{1,8},{2,5},{3,7},{4,6}}
[5,3,7,6,2,1,4,8]=>[5,7,8,3,2,1,6,4]=>{{1,5},{2,7},{3,8},{4},{6}}=>{{1,6},{2,7},{3},{4,8},{5}}
[3,8,7,6,2,1,4,5]=>[3,4,8,7,6,2,1,5]=>{{1,3,8},{2,4,7},{5,6}}=>{{1,6,8},{2,5,7},{3,4}}
[6,4,3,7,1,5,8,2]=>[6,4,7,8,1,5,3,2]=>{{1,6},{2,4,8},{3,7},{5}}=>{{1,5,7},{2,6},{3,8},{4}}
[6,5,2,7,1,4,3,8]=>[6,7,2,8,1,5,4,3]=>{{1,6},{2,7},{3},{4,8},{5}}=>{{1,5},{2,7},{3,8},{4},{6}}
[5,8,2,6,1,4,3,7]=>[5,8,6,7,2,4,1,3]=>{{1,5},{2,8},{3,6},{4,7}}=>{{1,7},{2,5},{3,6},{4,8}}
[5,8,4,1,6,7,3,2]=>[5,4,3,6,8,7,1,2]=>{{1,5,8},{2,4,6,7},{3}}=>{{1,4,8},{2,3,5,7},{6}}
[4,8,3,1,5,6,7,2]=>[4,3,5,6,8,7,1,2]=>{{1,4,6,7},{2,3,5,8}}=>{{1,4,6,7},{2,3,5,8}}
[4,2,7,1,5,6,3,8]=>[4,5,2,7,8,1,6,3]=>{{1,4,7},{2,5,8},{3},{6}}=>{{1,4,7},{2,5,8},{3},{6}}
[6,3,1,7,5,4,8,2]=>[6,5,7,3,1,8,4,2]=>{{1,6,8},{2,5},{3,7},{4}}=>{{1,3,8},{2,6},{4,7},{5}}
[5,3,1,6,7,4,8,2]=>[5,3,6,1,7,8,4,2]=>{{1,5,7},{2,3,6,8},{4}}=>{{1,3,6,7},{2,4,8},{5}}
[5,2,1,6,7,4,3,8]=>[5,6,2,1,7,8,4,3]=>{{1,5,7},{2,6,8},{3},{4}}=>{{1,3,7},{2,4,8},{5},{6}}
[2,8,1,6,5,4,3,7]=>[2,8,6,5,4,7,1,3]=>{{1,2,8},{3,6,7},{4,5}}=>{{1,7,8},{2,3,6},{4,5}}
[8,2,3,5,6,7,1,4]=>[2,8,1,3,5,6,7,4]=>{{1,2,8},{3},{4},{5},{6},{7}}=>{{1,7,8},{2},{3},{4},{5},{6}}
[3,6,8,7,2,1,5,4]=>[3,2,8,6,5,1,4,7]=>{{1,3,8},{2},{4,6},{5},{7}}=>{{1,6,8},{2},{3,5},{4},{7}}
[6,4,1,5,2,3,8,7]=>[4,1,2,6,5,8,7,3]=>{{1,4,6,8},{2},{3},{5},{7}}=>{{1,3,5,8},{2},{4},{6},{7}}
[5,3,7,4,6,8,1,2]=>[5,7,3,4,6,1,8,2]=>{{1,5,6},{2,7,8},{3},{4}}=>{{1,2,7},{3,4,8},{5},{6}}
[5,8,3,7,6,2,1,4]=>[5,8,7,3,2,6,1,4]=>{{1,5},{2,8},{3,7},{4},{6}}=>{{1,7},{2,6},{3},{4,8},{5}}
[4,2,6,3,8,5,1,7]=>[2,4,3,1,6,5,8,7]=>{{1,2,4},{3},{5,6},{7,8}}=>{{1,2},{3,4},{5,7,8},{6}}
[3,8,2,4,7,5,1,6]=>[3,8,4,2,5,7,1,6]=>{{1,3,4},{2,8},{5},{6,7}}=>{{1,7},{2,3},{4},{5,6,8}}
[8,3,2,4,1,7,5,6]=>[3,4,2,8,5,7,6,1]=>{{1,3},{2,4,8},{5},{6,7}}=>{{1,5,7},{2,3},{4},{6,8}}
[7,8,3,1,5,4,6,2]=>[7,3,5,4,8,6,1,2]=>{{1,7},{2,3,5,8},{4},{6}}=>{{1,4,6,7},{2,8},{3},{5}}
[5,6,1,4,3,2,8,7]=>[5,1,6,4,3,8,2,7]=>{{1,5},{2},{3,6,8},{4},{7}}=>{{1,3,6},{2},{4,8},{5},{7}}
[5,7,1,8,3,6,2,4]=>[5,7,3,6,1,8,2,4]=>{{1,5},{2,7},{3},{4,6,8}}=>{{1,3,5},{2,7},{4,8},{6}}
[6,7,1,5,4,3,8,2]=>[6,5,7,4,3,8,1,2]=>{{1,6,8},{2,5},{3,7},{4}}=>{{1,3,8},{2,6},{4,7},{5}}
[8,7,3,6,5,1,4,2]=>[8,3,7,6,1,5,4,2]=>{{1,8},{2,3,7},{4,6},{5}}=>{{1,8},{2,6,7},{3,5},{4}}
[4,2,3,5,8,1,6,7]=>[2,4,8,3,5,6,7,1]=>{{1,2,4},{3,8},{5},{6},{7}}=>{{1,6},{2},{3},{4},{5,7,8}}
[3,2,8,4,7,1,6,5]=>[8,3,7,2,4,1,6,5]=>{{1,8},{2,3,7},{4},{5},{6}}=>{{1,8},{2,6,7},{3},{4},{5}}
[2,8,4,6,5,7,1,3]=>[2,8,1,6,4,5,3,7]=>{{1,2,8},{3},{4,6},{5},{7}}=>{{1,7,8},{2},{3,5},{4},{6}}
[5,1,6,3,8,4,7,2]=>[5,1,3,2,6,4,8,7]=>{{1,5,6},{2},{3},{4},{7,8}}=>{{1,2},{3,4,8},{5},{6},{7}}
[2,5,1,6,8,3,7,4]=>[8,2,5,1,3,6,4,7]=>{{1,8},{2},{3,5},{4},{6},{7}}=>{{1,8},{2},{3},{4,6},{5},{7}}
[1,6,7,5,2,8,3,4]=>[6,7,1,8,5,2,3,4]=>{{1,6},{2,7},{3},{4,8},{5}}=>{{1,5},{2,7},{3,8},{4},{6}}
[5,7,2,8,6,1,3,4]=>[5,7,8,2,1,6,3,4]=>{{1,5},{2,7},{3,8},{4},{6}}=>{{1,6},{2,7},{3},{4,8},{5}}
[6,2,7,5,1,8,3,4]=>[6,7,2,8,3,1,5,4]=>{{1,6},{2,7},{3},{4,8},{5}}=>{{1,5},{2,7},{3,8},{4},{6}}
[6,7,4,5,2,1,8,3]=>[6,4,7,5,2,8,1,3]=>{{1,6,8},{2,4,5},{3,7}}=>{{1,3,8},{2,6},{4,5,7}}
[6,3,7,5,1,8,2,4]=>[6,7,1,8,3,2,5,4]=>{{1,6},{2,7},{3},{4,8},{5}}=>{{1,5},{2,7},{3,8},{4},{6}}
[7,5,1,6,3,8,2,4]=>[5,7,1,6,3,8,4,2]=>{{1,5},{2,7},{3},{4,6,8}}=>{{1,3,5},{2,7},{4,8},{6}}
[3,6,5,1,8,4,7,2]=>[6,3,5,1,8,4,2,7]=>{{1,6},{2,3,5,8},{4},{7}}=>{{1,4,6,7},{2},{3,8},{5}}
[4,6,1,5,8,7,3,2]=>[6,4,3,1,5,8,2,7]=>{{1,6,8},{2,4},{3},{5},{7}}=>{{1,3,8},{2},{4},{5,7},{6}}
[7,5,1,6,2,8,3,4]=>[1,5,2,7,3,8,6,4]=>{{1},{2,5},{3},{4,7},{6,8}}=>{{1,3},{2,5},{4,7},{6},{8}}
[4,6,1,5,8,2,3,7]=>[1,4,6,2,5,8,3,7]=>{{1},{2,4},{3,6,8},{5},{7}}=>{{1,3,6},{2},{4},{5,7},{8}}
[10,11,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1,11]=>{{1,10},{2,9},{3,8},{4,7},{5,6},{11}}=>{{1},{2,11},{3,10},{4,9},{5,8},{6,7}}
[6,8,5,4,3,7,2,1]=>[6,5,4,8,3,2,1,7]=>{{1,6},{2,5},{3,4,8},{7}}=>{{1,5,6},{2},{3,8},{4,7}}
[11,10,9,8,7,6,5,4,3,1,2]=>[1,11,10,9,8,7,6,5,4,3,2]=>{{1},{2,11},{3,10},{4,9},{5,8},{6,7}}=>{{1,10},{2,9},{3,8},{4,7},{5,6},{11}}
[7,5,3,2,8,4,1,6]=>[3,7,5,4,8,6,2,1]=>{{1,3,5,8},{2,7},{4},{6}}=>{{1,4,6,8},{2,7},{3},{5}}
[7,5,3,2,8,4,6,1]=>[7,3,5,4,8,6,2,1]=>{{1,7},{2,3,5,8},{4},{6}}=>{{1,4,6,7},{2,8},{3},{5}}
[4,2,8,1,5,6,3,7]=>[4,5,2,6,8,1,7,3]=>{{1,4,6},{2,5,8},{3},{7}}=>{{1,4,7},{2},{3,5,8},{6}}
[7,3,8,4,6,2,1,5]=>[7,8,3,2,4,1,6,5]=>{{1,7},{2,8},{3},{4},{5},{6}}=>{{1,7},{2,8},{3},{4},{5},{6}}
[3,2,6,4,5,8,1,7]=>[3,6,2,4,5,1,8,7]=>{{1,3},{2,6},{4},{5},{7,8}}=>{{1,2},{3,7},{4},{5},{6,8}}
[3,4,2,5,8,6,7,1]=>[3,2,4,1,5,8,6,7]=>{{1,3,4},{2},{5},{6,8},{7}}=>{{1,3},{2},{4},{5,6,8},{7}}
[4,1,3,5,6,8,7,2]=>[4,3,1,2,5,6,8,7]=>{{1,4},{2,3},{5},{6},{7,8}}=>{{1,2},{3},{4},{5,8},{6,7}}
[2,4,8,6,7,1,3,5]=>[2,4,8,1,6,3,5,7]=>{{1,2,4},{3,8},{5,6},{7}}=>{{1,6},{2},{3,4},{5,7,8}}
[3,2,5,6,8,7,1,4]=>[3,8,2,1,5,6,7,4]=>{{1,3},{2,8},{4},{5},{6},{7}}=>{{1,7},{2},{3},{4},{5},{6,8}}
[2,1,8,5,6,7,3,4]=>[2,8,1,5,6,3,7,4]=>{{1,2,8},{3},{4,5,6},{7}}=>{{1,7,8},{2},{3,4,5},{6}}
[3,2,6,4,8,1,7,5]=>[3,2,8,1,6,4,7,5]=>{{1,3,8},{2},{4},{5,6},{7}}=>{{1,6,8},{2},{3,4},{5},{7}}
[8,2,1,6,7,3,4,5]=>[2,3,6,1,4,8,7,5]=>{{1,2,3,6,8},{4},{5},{7}}=>{{1,3,6,7,8},{2},{4},{5}}
[4,8,3,1,2,7,6,5]=>[8,4,1,3,7,6,2,5]=>{{1,8},{2,4},{3},{5,7},{6}}=>{{1,8},{2,4},{3},{5,7},{6}}
[8,4,2,3,7,1,5,6]=>[2,4,8,3,5,7,6,1]=>{{1,2,4},{3,8},{5},{6,7}}=>{{1,6},{2,3},{4},{5,7,8}}
[5,8,2,7,4,1,6,3]=>[5,2,8,7,4,6,1,3]=>{{1,5},{2},{3,8},{4,7},{6}}=>{{1,6},{2,5},{3},{4,8},{7}}
[5,1,4,2,8,7,6,3]=>[8,5,4,1,7,2,6,3]=>{{1,8},{2,5,7},{3,4},{6}}=>{{1,8},{2,4,7},{3},{5,6}}
[5,3,7,1,6,2,8,4]=>[5,1,7,3,8,2,6,4]=>{{1,5,8},{2},{3,7},{4},{6}}=>{{1,4,8},{2,6},{3},{5},{7}}
[4,2,5,6,8,7,1,3]=>[4,8,2,1,5,6,7,3]=>{{1,4},{2,8},{3},{5},{6},{7}}=>{{1,7},{2},{3},{4},{5,8},{6}}
[8,4,2,1,6,5,3,7]=>[4,6,2,1,8,7,5,3]=>{{1,4},{2,6,7},{3},{5,8}}=>{{1,4},{2,3,7},{5,8},{6}}
[8,4,1,2,6,5,3,7]=>[1,8,4,2,6,7,5,3]=>{{1},{2,8},{3,4},{5,6,7}}=>{{1,7},{2,3,4},{5,6},{8}}
[5,8,4,7,6,2,3,1]=>[8,5,7,4,2,6,1,3]=>{{1,8},{2,5},{3,7},{4},{6}}=>{{1,8},{2,6},{3},{4,7},{5}}
[1,3,5,2,4,8,7,6]=>[8,3,1,5,7,2,4,6]=>{{1,8},{2,3},{4,5,7},{6}}=>{{1,8},{2,4,5},{3},{6,7}}
[2,6,5,1,3,8,7,4]=>[6,2,1,5,8,7,3,4]=>{{1,6,7},{2},{3},{4,5,8}}=>{{1,4,5},{2,3,8},{6},{7}}
[6,5,3,8,4,7,1,2]=>[6,8,3,5,1,7,4,2]=>{{1,6,7},{2,8},{3},{4,5}}=>{{1,7},{2,3,8},{4,5},{6}}
[8,2,1,3,6,4,7,5]=>[2,1,6,3,4,8,7,5]=>{{1,2},{3,6,8},{4},{5},{7}}=>{{1,3,6},{2},{4},{5},{7,8}}
[4,2,8,1,5,6,7,3]=>[4,2,5,6,8,1,7,3]=>{{1,4,6},{2},{3,5,8},{7}}=>{{1,4,6},{2},{3,5,8},{7}}
[8,2,4,1,5,6,7,3]=>[2,1,4,5,8,6,7,3]=>{{1,2},{3,4,5,8},{6},{7}}=>{{1,4,5,6},{2},{3},{7,8}}
[4,6,3,5,8,1,7,2]=>[4,3,6,1,5,8,2,7]=>{{1,4},{2,3,6,8},{5},{7}}=>{{1,3,6,7},{2},{4},{5,8}}
[3,8,1,4,5,6,7,2]=>[8,3,4,5,6,7,1,2]=>{{1,8},{2,3,4,5,6,7}}=>{{1,8},{2,3,4,5,6,7}}
[3,4,7,2,1,8,6,5]=>[3,2,1,7,6,4,5,8]=>{{1,3},{2},{4,7},{5,6},{8}}=>{{1},{2,5},{3,4},{6,8},{7}}
[3,4,7,8,1,5,6,2]=>[7,3,4,8,1,2,5,6]=>{{1,7},{2,3,4,8},{5},{6}}=>{{1,5,6,7},{2,8},{3},{4}}
[3,5,7,2,8,4,6,1]=>[3,2,5,1,7,4,6,8]=>{{1,3,5,7},{2},{4},{6},{8}}=>{{1},{2,4,6,8},{3},{5},{7}}
[3,6,8,2,4,5,1,7]=>[3,4,2,6,8,1,5,7]=>{{1,3},{2,4,6},{5,8},{7}}=>{{1,4},{2},{3,5,7},{6,8}}
[4,1,5,6,7,8,3,2]=>[4,3,1,5,6,7,8,2]=>{{1,4,5,6,7,8},{2,3}}=>{{1,2,3,4,5,8},{6,7}}
[4,1,6,7,3,8,5,2]=>[4,3,1,6,2,7,8,5]=>{{1,4,6,7,8},{2,3},{5}}=>{{1,2,3,5,8},{4},{6,7}}
[4,1,7,3,2,8,6,5]=>[4,3,1,7,6,2,8,5]=>{{1,4,7,8},{2,3},{5,6}}=>{{1,2,5,8},{3,4},{6,7}}
[4,6,2,3,7,8,5,1]=>[4,2,1,6,7,8,3,5]=>{{1,4,6,8},{2},{3},{5,7}}=>{{1,3,5,8},{2,4},{6},{7}}
[4,6,2,3,8,5,1,7]=>[2,4,3,1,6,8,5,7]=>{{1,2,4},{3},{5,6,8},{7}}=>{{1,3,4},{2},{5,7,8},{6}}
[4,6,8,3,2,5,1,7]=>[4,6,3,8,2,1,5,7]=>{{1,4,8},{2,6},{3},{5},{7}}=>{{1,5,8},{2},{3,7},{4},{6}}
[4,7,8,3,2,5,6,1]=>[4,3,7,8,2,1,5,6]=>{{1,4,8},{2,3,7},{5},{6}}=>{{1,5,8},{2,6,7},{3},{4}}
[5,1,2,6,8,4,3,7]=>[5,6,4,1,2,3,8,7]=>{{1,5},{2,6},{3,4},{7,8}}=>{{1,2},{3,7},{4,8},{5,6}}
[6,1,2,7,8,5,4,3]=>[6,5,4,1,2,7,8,3]=>{{1,6,7,8},{2,5},{3,4}}=>{{1,2,3,8},{4,7},{5,6}}
[6,1,7,3,4,8,5,2]=>[6,3,1,2,7,4,8,5]=>{{1,6},{2,3},{4},{5,7,8}}=>{{1,2,4},{3,8},{5},{6,7}}
[6,1,7,3,8,5,4,2]=>[6,5,3,1,7,2,8,4]=>{{1,6},{2,5,7,8},{3},{4}}=>{{1,2,4,7},{3,8},{5},{6}}
[6,7,2,3,8,5,4,1]=>[6,5,2,1,7,8,3,4]=>{{1,6,8},{2,5,7},{3},{4}}=>{{1,3,8},{2,4,7},{5},{6}}
[6,8,2,3,4,5,1,7]=>[2,6,3,4,5,8,1,7]=>{{1,2,6,8},{3},{4},{5},{7}}=>{{1,3,7,8},{2},{4},{5},{6}}
[7,1,2,3,4,8,6,5]=>[7,6,1,2,3,4,8,5]=>{{1,7,8},{2,6},{3},{4},{5}}=>{{1,2,8},{3,7},{4},{5},{6}}
[7,1,8,3,4,5,6,2]=>[7,1,3,4,5,2,8,6]=>{{1,7,8},{2},{3},{4},{5},{6}}=>{{1,2,8},{3},{4},{5},{6},{7}}
[3,5,8,6,1,2,4,7]=>[3,5,6,8,7,1,2,4]=>{{1,3,6},{2,5,7},{4,8}}=>{{1,5},{2,4,7},{3,6,8}}
[7,1,8,6,3,2,4,5]=>[1,3,7,6,4,2,8,5]=>{{1},{2,3,7,8},{4,6},{5}}=>{{1,2,6,7},{3,5},{4},{8}}
[3,4,1,2,8,6,7,5]=>[8,3,4,1,6,7,2,5]=>{{1,8},{2,3,4},{5,6,7}}=>{{1,8},{2,3,4},{5,6,7}}
[1,5,7,4,2,6,3,8]=>[1,5,4,7,6,2,3,8]=>{{1},{2,5,6},{3,4,7},{8}}=>{{1},{2,5,6},{3,4,7},{8}}
[4,2,3,1,7,8,5,6]=>[4,7,2,3,8,5,6,1]=>{{1,4},{2,7},{3},{5,8},{6}}=>{{1,4},{2,7},{3},{5,8},{6}}
[5,2,8,4,1,7,6,3]=>[8,5,2,7,4,1,6,3]=>{{1,8},{2,5},{3},{4,7},{6}}=>{{1,8},{2,5},{3},{4,7},{6}}
[6,8,3,4,5,1,7,2]=>[6,3,8,4,5,7,1,2]=>{{1,6,7},{2,3,8},{4},{5}}=>{{1,6,7},{2,3,8},{4},{5}}
[8,3,4,1,5,2,7,6]=>[3,1,4,2,8,5,7,6]=>{{1,3,4},{2},{5,8},{6},{7}}=>{{1,4},{2},{3},{5,6,8},{7}}
[8,7,2,1,5,3,4,6]=>[2,3,5,1,8,7,6,4]=>{{1,2,3,5,8},{4},{6,7}}=>{{1,4,6,7,8},{2,3},{5}}
[8,2,7,4,6,1,3,5]=>[2,4,8,1,7,3,6,5]=>{{1,2,4},{3,8},{5,7},{6}}=>{{1,6},{2,4},{3},{5,7,8}}
[2,8,6,1,5,7,3,4]=>[2,8,1,6,7,5,3,4]=>{{1,2,8},{3},{4,6},{5,7}}=>{{1,7,8},{2,4},{3,5},{6}}
[3,8,1,5,6,2,7,4]=>[3,1,8,5,6,7,2,4]=>{{1,3,8},{2},{4,5,6,7}}=>{{1,6,8},{2,3,4,5},{7}}
[6,8,1,4,2,7,3,5]=>[1,6,2,8,4,7,3,5]=>{{1},{2,6,7},{3},{4,8},{5}}=>{{1,5},{2,3,7},{4},{6},{8}}
[3,4,7,8,2,5,6,1]=>[3,2,7,8,1,4,5,6]=>{{1,3,7},{2},{4,8},{5},{6}}=>{{1,5},{2,6,8},{3},{4},{7}}
[1,8,2,4,5,6,7,3]=>[8,1,2,4,5,6,3,7]=>{{1,8},{2},{3},{4},{5},{6},{7}}=>{{1,8},{2},{3},{4},{5},{6},{7}}
[4,3,5,6,1,8,7,2]=>[4,3,1,8,5,6,7,2]=>{{1,4,8},{2,3},{5},{6},{7}}=>{{1,5,8},{2},{3},{4},{6,7}}
[3,1,4,6,5,7,8,2]=>[6,3,4,5,1,7,8,2]=>{{1,6,7,8},{2,3,4,5}}=>{{1,2,3,8},{4,5,6,7}}
[1,3,2,7,5,8,6,4]=>[7,3,1,5,2,8,4,6]=>{{1,7},{2,3},{4,5},{6,8}}=>{{1,3},{2,8},{4,5},{6,7}}
[1,4,2,5,8,3,7,6]=>[8,4,5,1,2,7,3,6]=>{{1,8},{2,4},{3,5},{6,7}}=>{{1,8},{2,3},{4,6},{5,7}}
[4,1,2,6,8,5,3,7]=>[4,6,5,1,2,3,8,7]=>{{1,4},{2,6},{3,5},{7,8}}=>{{1,2},{3,7},{4,6},{5,8}}
[1,5,2,4,8,7,6,3]=>[8,5,4,1,2,7,3,6]=>{{1,8},{2,5},{3,4},{6,7}}=>{{1,8},{2,3},{4,7},{5,6}}
[1,2,6,4,8,7,5,3]=>[8,6,4,1,7,2,3,5]=>{{1,8},{2,6},{3,4},{5,7}}=>{{1,8},{2,4},{3,7},{5,6}}
[1,2,7,4,8,6,5,3]=>[7,6,4,1,8,2,3,5]=>{{1,7},{2,6},{3,4},{5,8}}=>{{1,4},{2,8},{3,7},{5,6}}
[1,3,2,7,5,8,4,6]=>[3,7,1,5,2,8,4,6]=>{{1,3},{2,7},{4,5},{6,8}}=>{{1,3},{2,7},{4,5},{6,8}}
[1,3,2,8,5,7,4,6]=>[3,8,1,5,2,7,4,6]=>{{1,3},{2,8},{4,5},{6,7}}=>{{1,7},{2,3},{4,5},{6,8}}
[1,4,2,5,8,7,3,6]=>[4,8,5,1,2,7,3,6]=>{{1,4},{2,8},{3,5},{6,7}}=>{{1,7},{2,3},{4,6},{5,8}}
[1,5,2,4,8,7,3,6]=>[5,8,4,1,2,7,3,6]=>{{1,5},{2,8},{3,4},{6,7}}=>{{1,7},{2,3},{4,8},{5,6}}
[1,2,6,4,8,7,3,5]=>[6,8,4,1,7,2,3,5]=>{{1,6},{2,8},{3,4},{5,7}}=>{{1,7},{2,4},{3,8},{5,6}}
[1,2,7,8,5,6,3,4]=>[7,8,5,6,1,2,3,4]=>{{1,7},{2,8},{3,5},{4,6}}=>{{1,7},{2,8},{3,5},{4,6}}
[1,3,8,2,6,7,4,5]=>[3,8,1,6,7,2,4,5]=>{{1,3},{2,8},{4,6},{5,7}}=>{{1,7},{2,4},{3,5},{6,8}}
[1,6,7,8,2,5,3,4]=>[6,7,5,8,1,2,3,4]=>{{1,6},{2,7},{3,5},{4,8}}=>{{1,5},{2,7},{3,8},{4,6}}
[1,5,7,8,2,3,6,4]=>[7,5,6,8,1,2,3,4]=>{{1,7},{2,5},{3,6},{4,8}}=>{{1,5},{2,8},{3,6},{4,7}}
[1,5,2,7,8,4,6,3]=>[5,4,7,1,2,8,3,6]=>{{1,5},{2,4},{3,7},{6,8}}=>{{1,3},{2,6},{4,8},{5,7}}
[1,4,7,2,8,3,6,5]=>[7,4,6,1,8,2,3,5]=>{{1,7},{2,4},{3,6},{5,8}}=>{{1,4},{2,8},{3,6},{5,7}}
[1,3,6,2,4,8,7,5]=>[8,3,1,6,7,2,4,5]=>{{1,8},{2,3},{4,6},{5,7}}=>{{1,8},{2,4},{3,5},{6,7}}
[1,6,7,3,4,8,5,2]=>[6,3,1,7,8,2,4,5]=>{{1,6},{2,3},{4,7},{5,8}}=>{{1,4},{2,5},{3,8},{6,7}}
[1,5,3,7,4,8,6,2]=>[5,3,1,7,2,8,4,6]=>{{1,5},{2,3},{4,7},{6,8}}=>{{1,3},{2,5},{4,8},{6,7}}
[2,8,4,1,5,3,7,6]=>[2,1,4,3,8,7,5,6]=>{{1,2},{3,4},{5,8},{6,7}}=>{{1,4},{2,3},{5,6},{7,8}}
[3,8,4,1,5,7,2,6]=>[3,4,1,2,8,7,5,6]=>{{1,3},{2,4},{5,8},{6,7}}=>{{1,4},{2,3},{5,7},{6,8}}
[1,3,8,4,2,7,6,5]=>[8,3,1,7,6,2,4,5]=>{{1,8},{2,3},{4,7},{5,6}}=>{{1,8},{2,5},{3,4},{6,7}}
[1,2,7,4,8,3,6,5]=>[7,4,8,1,6,2,3,5]=>{{1,7},{2,4},{3,8},{5,6}}=>{{1,6},{2,8},{3,4},{5,7}}
[1,2,6,4,8,3,7,5]=>[6,4,8,1,7,2,3,5]=>{{1,6},{2,4},{3,8},{5,7}}=>{{1,6},{2,4},{3,8},{5,7}}
[1,5,2,4,8,3,7,6]=>[5,4,8,1,2,7,3,6]=>{{1,5},{2,4},{3,8},{6,7}}=>{{1,6},{2,3},{4,8},{5,7}}
[1,8,3,5,2,7,4,6]=>[3,5,1,8,2,7,4,6]=>{{1,3},{2,5},{4,8},{6,7}}=>{{1,5},{2,3},{4,7},{6,8}}
[1,3,8,6,2,7,4,5]=>[3,6,1,8,7,2,4,5]=>{{1,3},{2,6},{4,8},{5,7}}=>{{1,5},{2,4},{3,7},{6,8}}
[1,4,8,6,7,2,3,5]=>[4,6,8,1,7,2,3,5]=>{{1,4},{2,6},{3,8},{5,7}}=>{{1,6},{2,4},{3,7},{5,8}}
[1,2,6,8,5,3,7,4]=>[6,5,8,7,1,2,3,4]=>{{1,6},{2,5},{3,8},{4,7}}=>{{1,6},{2,5},{3,8},{4,7}}
[1,2,7,8,6,3,5,4]=>[7,6,8,5,1,2,3,4]=>{{1,7},{2,6},{3,8},{4,5}}=>{{1,6},{2,8},{3,7},{4,5}}
[1,6,7,8,5,2,3,4]=>[6,7,8,5,1,2,3,4]=>{{1,6},{2,7},{3,8},{4,5}}=>{{1,6},{2,7},{3,8},{4,5}}
[1,5,7,8,6,2,3,4]=>[5,7,8,6,1,2,3,4]=>{{1,5},{2,7},{3,8},{4,6}}=>{{1,6},{2,7},{3,5},{4,8}}
[1,4,7,6,8,2,3,5]=>[4,7,8,1,6,2,3,5]=>{{1,4},{2,7},{3,8},{5,6}}=>{{1,6},{2,7},{3,4},{5,8}}
[1,3,7,6,2,8,4,5]=>[3,7,1,8,6,2,4,5]=>{{1,3},{2,7},{4,8},{5,6}}=>{{1,5},{2,7},{3,4},{6,8}}
[2,3,8,7,4,1,6,5]=>[2,1,8,7,6,3,4,5]=>{{1,2},{3,8},{4,7},{5,6}}=>{{1,6},{2,5},{3,4},{7,8}}
[1,2,5,8,7,6,3,4]=>[5,8,7,6,1,2,3,4]=>{{1,5},{2,8},{3,7},{4,6}}=>{{1,7},{2,6},{3,5},{4,8}}
[1,2,6,8,7,5,3,4]=>[6,8,7,5,1,2,3,4]=>{{1,6},{2,8},{3,7},{4,5}}=>{{1,7},{2,6},{3,8},{4,5}}
[1,2,7,8,6,5,3,4]=>[7,8,6,5,1,2,3,4]=>{{1,7},{2,8},{3,6},{4,5}}=>{{1,7},{2,8},{3,6},{4,5}}
[5,4,2,7,6,3,8,1]=>[5,4,7,2,1,8,6,3]=>{{1,5},{2,4},{3,7},{6,8}}=>{{1,3},{2,6},{4,8},{5,7}}
[1,2,3,8,5,6,4,7]=>[1,8,2,5,3,4,6,7]=>{{1},{2,8},{3},{4,5},{6},{7}}=>{{1,7},{2},{3},{4,5},{6},{8}}
[5,1,6,2,8,7,3,4]=>[1,8,5,2,6,3,7,4]=>{{1},{2,8},{3,5,6},{4},{7}}=>{{1,7},{2},{3,4,6},{5},{8}}
[4,3,1,2,8,6,7,5]=>[4,1,3,2,6,8,7,5]=>{{1,4},{2},{3},{5,6,8},{7}}=>{{1,3,4},{2},{5,8},{6},{7}}
[1,2,3,8,6,7,4,5]=>[6,8,1,7,2,3,4,5]=>{{1,6},{2,8},{3},{4,7},{5}}=>{{1,7},{2,5},{3,8},{4},{6}}
[1,2,3,8,7,4,5,6]=>[1,2,8,7,3,4,5,6]=>{{1},{2},{3,8},{4,7},{5},{6}}=>{{1,6},{2,5},{3},{4},{7},{8}}
[5,4,1,2,8,7,6,3]=>[8,5,4,1,2,7,6,3]=>{{1,8},{2,5},{3,4},{6,7}}=>{{1,8},{2,3},{4,7},{5,6}}
[1,2,3,4,5,6,7,10,8,9]=>[1,10,2,3,4,5,6,7,8,9]=>{{1},{2,10},{3},{4},{5},{6},{7},{8},{9}}=>{{1,9},{2},{3},{4},{5},{6},{7},{8},{10}}
[8,1,7,3,6,5,4,2]=>[8,7,6,1,5,3,4,2]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[8,3,7,2,6,5,4,1]=>[8,7,6,3,5,2,4,1]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[8,3,7,1,6,5,4,2]=>[8,7,6,3,5,1,4,2]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[6,8,1,3,2,5,4,7]=>[1,6,3,8,5,7,2,4]=>{{1},{2,6,7},{3},{4,8},{5}}=>{{1,5},{2,3,7},{4},{6},{8}}
[2,5,4,7,6,8,1,3]=>[5,7,2,4,1,6,3,8]=>{{1,5},{2,7},{3},{4},{6},{8}}=>{{1},{2,7},{3},{4,8},{5},{6}}
[4,8,3,7,1,5,2,6]=>[4,8,5,7,3,6,1,2]=>{{1,4,7},{2,8},{3,5},{6}}=>{{1,7},{2,5,8},{3},{4,6}}
[6,8,3,7,1,4,2,5]=>[3,8,6,7,4,5,1,2]=>{{1,3,6},{2,8},{4,7},{5}}=>{{1,7},{2,5},{3,6,8},{4}}
[5,8,4,7,1,3,2,6]=>[1,5,4,8,3,7,2,6]=>{{1},{2,5},{3,4,8},{6,7}}=>{{1,5,6},{2,3},{4,7},{8}}
[4,7,1,3,2,6,5,8]=>[1,4,3,7,6,8,2,5]=>{{1},{2,4,7},{3},{5,6,8}}=>{{1,3,4},{2,5,7},{6},{8}}
[4,7,5,8,2,6,1,3]=>[7,8,4,5,2,3,1,6]=>{{1,7},{2,8},{3,4,5},{6}}=>{{1,7},{2,8},{3},{4,5,6}}
[3,7,5,8,2,6,1,4]=>[7,8,3,5,2,4,1,6]=>{{1,7},{2,8},{3},{4,5},{6}}=>{{1,7},{2,8},{3},{4,5},{6}}
[3,7,4,8,2,6,1,5]=>[7,8,3,6,2,4,1,5]=>{{1,7},{2,8},{3},{4,6},{5}}=>{{1,7},{2,8},{3,5},{4},{6}}
[2,6,5,8,3,7,1,4]=>[6,8,5,7,2,3,1,4]=>{{1,6},{2,8},{3,5},{4,7}}=>{{1,7},{2,5},{3,8},{4,6}}
[7,6,2,8,4,1,5,3]=>[7,2,8,4,1,6,5,3]=>{{1,7},{2},{3,8},{4},{5},{6}}=>{{1,6},{2,8},{3},{4},{5},{7}}
[7,6,3,8,2,4,1,5]=>[3,7,6,8,4,5,2,1]=>{{1,3,6},{2,7},{4,8},{5}}=>{{1,5},{2,7},{3,6,8},{4}}
[6,3,4,8,7,2,5,1]=>[6,3,8,2,1,4,7,5]=>{{1,6},{2,3,8},{4},{5},{7}}=>{{1,6,7},{2},{3,8},{4},{5}}
[6,3,8,4,7,2,1,5]=>[6,8,3,2,4,1,7,5]=>{{1,6},{2,8},{3},{4},{5},{7}}=>{{1,7},{2},{3,8},{4},{5},{6}}
[4,6,7,8,3,5,2,1]=>[4,3,2,6,1,5,7,8]=>{{1,4,6},{2,3},{5},{7},{8}}=>{{1},{2},{3,5,8},{4},{6,7}}
[4,6,8,3,5,7,2,1]=>[4,3,2,6,8,1,5,7]=>{{1,4,6},{2,3},{5,8},{7}}=>{{1,4},{2},{3,5,8},{6,7}}
[4,7,8,3,5,6,2,1]=>[4,3,2,7,8,1,5,6]=>{{1,4,7},{2,3},{5,8},{6}}=>{{1,4},{2,5,8},{3},{6,7}}
[4,7,8,3,6,2,5,1]=>[4,3,7,2,6,1,5,8]=>{{1,4},{2,3,7},{5,6},{8}}=>{{1},{2,6,7},{3,4},{5,8}}
[5,3,4,8,2,7,6,1]=>[5,3,2,8,1,4,7,6]=>{{1,5},{2,3},{4,8},{6},{7}}=>{{1,5},{2},{3},{4,8},{6,7}}
[6,3,5,8,7,2,4,1]=>[6,3,8,2,1,5,7,4]=>{{1,6},{2,3,8},{4},{5},{7}}=>{{1,6,7},{2},{3,8},{4},{5}}
[5,8,3,7,2,6,4,1]=>[8,5,3,7,2,6,1,4]=>{{1,8},{2,5},{3},{4,7},{6}}=>{{1,8},{2,5},{3},{4,7},{6}}
[6,4,5,3,7,1,8,2]=>[4,1,6,5,7,3,8,2]=>{{1,4,5,7,8},{2},{3,6}}=>{{1,2,4,5,8},{3,6},{7}}
[5,6,3,4,7,1,8,2]=>[5,3,6,4,7,8,1,2]=>{{1,5,7},{2,3,6,8},{4}}=>{{1,3,6,7},{2,4,8},{5}}
[6,3,5,4,7,8,2,1]=>[6,5,3,4,7,2,8,1]=>{{1,6},{2,5,7,8},{3},{4}}=>{{1,2,4,7},{3,8},{5},{6}}
[4,7,3,6,2,5,8,1]=>[4,3,7,8,2,6,1,5]=>{{1,4,8},{2,3,7},{5},{6}}=>{{1,5,8},{2,6,7},{3},{4}}
[4,7,3,6,8,2,5,1]=>[4,3,7,2,6,8,1,5]=>{{1,4},{2,3,7},{5,6,8}}=>{{1,3,4},{2,6,7},{5,8}}
[4,6,7,3,5,8,2,1]=>[4,3,2,6,7,1,5,8]=>{{1,4,6},{2,3},{5,7},{8}}=>{{1},{2,4},{3,5,8},{6,7}}
[4,5,7,8,3,6,2,1]=>[4,3,2,7,1,5,6,8]=>{{1,4,7},{2,3},{5},{6},{8}}=>{{1},{2,5,8},{3},{4},{6,7}}
[4,5,8,3,7,2,6,1]=>[4,3,8,2,7,1,5,6]=>{{1,4},{2,3,8},{5,7},{6}}=>{{1,6,7},{2,4},{3},{5,8}}
[4,6,3,5,7,8,2,1]=>[4,3,2,6,7,8,1,5]=>{{1,4,6,8},{2,3},{5,7}}=>{{1,3,5,8},{2,4},{6,7}}
[4,5,6,8,3,7,2,1]=>[4,3,2,8,1,5,6,7]=>{{1,4,8},{2,3},{5},{6},{7}}=>{{1,5,8},{2},{3},{4},{6,7}}
[5,7,4,8,6,3,2,1]=>[5,4,3,2,1,7,6,8]=>{{1,5},{2,4},{3},{6,7},{8}}=>{{1},{2,3},{4,8},{5,7},{6}}
[4,5,6,7,8,9,3,2,1]=>[4,3,2,1,5,6,7,8,9]=>{{1,4},{2,3},{5},{6},{7},{8},{9}}=>{{1},{2},{3},{4},{5},{6,9},{7,8}}
[3,4,5,6,7,8,9,2,1]=>[3,2,1,4,5,6,7,8,9]=>{{1,3},{2},{4},{5},{6},{7},{8},{9}}=>{{1},{2},{3},{4},{5},{6},{7,9},{8}}
[4,5,6,7,8,9,10,3,2,1]=>[4,3,2,1,5,6,7,8,9,10]=>{{1,4},{2,3},{5},{6},{7},{8},{9},{10}}=>{{1},{2},{3},{4},{5},{6},{7,10},{8,9}}
[3,4,5,6,7,8,9,10,2,1]=>[3,2,1,4,5,6,7,8,9,10]=>{{1,3},{2},{4},{5},{6},{7},{8},{9},{10}}=>{{1},{2},{3},{4},{5},{6},{7},{8,10},{9}}
[1,6,2,5,3,4,8,7]=>[6,1,2,8,3,5,4,7]=>{{1,6},{2},{3},{4,8},{5},{7}}=>{{1,5},{2},{3,8},{4},{6},{7}}
[1,3,5,2,8,4,7,6]=>[8,3,5,1,7,2,4,6]=>{{1,8},{2,3,5,7},{4},{6}}=>{{1,8},{2,4,6,7},{3},{5}}
[1,6,8,2,3,5,4,7]=>[1,6,2,5,8,3,4,7]=>{{1},{2,6},{3},{4,5,8},{7}}=>{{1,4,5},{2},{3,7},{6},{8}}
[7,4,1,6,2,8,3,5]=>[1,4,2,7,3,8,6,5]=>{{1},{2,4,7},{3},{5},{6,8}}=>{{1,3},{2,5,7},{4},{6},{8}}
[7,3,8,1,2,4,6,5]=>[7,1,3,4,8,2,6,5]=>{{1,7},{2},{3},{4},{5,8},{6}}=>{{1,4},{2,8},{3},{5},{6},{7}}
[4,3,6,8,5,7,1,2]=>[4,6,3,5,1,2,8,7]=>{{1,4,5},{2,6},{3},{7,8}}=>{{1,2},{3,7},{4,5,8},{6}}
[7,2,1,5,8,3,4,6]=>[2,3,7,1,5,8,6,4]=>{{1,2,3,7},{4},{5},{6,8}}=>{{1,3},{2,6,7,8},{4},{5}}
[1,2,8,5,7,3,4,6]=>[1,5,8,2,7,3,4,6]=>{{1},{2,5,7},{3,8},{4},{6}}=>{{1,6},{2,4,7},{3},{5},{8}}
[1,5,2,8,7,4,6,3]=>[8,1,5,4,2,7,3,6]=>{{1,8},{2},{3,5},{4},{6,7}}=>{{1,8},{2,3},{4,6},{5},{7}}
[3,4,2,7,8,1,6,5]=>[3,2,7,1,4,6,5,8]=>{{1,3,7},{2},{4},{5},{6},{8}}=>{{1},{2,6,8},{3},{4},{5},{7}}
[2,7,8,1,4,6,3,5]=>[7,8,2,4,6,1,3,5]=>{{1,7},{2,8},{3},{4},{5,6}}=>{{1,7},{2,8},{3,4},{5},{6}}
[4,8,2,5,7,1,6,3]=>[8,4,7,2,5,6,1,3]=>{{1,8},{2,4},{3,7},{5},{6}}=>{{1,8},{2,6},{3},{4},{5,7}}
[4,1,6,8,5,3,7,2]=>[6,4,5,3,1,2,8,7]=>{{1,6},{2,4},{3,5},{7,8}}=>{{1,2},{3,8},{4,6},{5,7}}
[5,2,6,4,8,3,1,7]=>[5,6,4,2,3,1,8,7]=>{{1,5},{2,6},{3,4},{7,8}}=>{{1,2},{3,7},{4,8},{5,6}}
[1,3,6,5,2,8,4,7]=>[3,6,1,8,5,2,4,7]=>{{1,3},{2,6},{4,8},{5},{7}}=>{{1,5},{2},{3,7},{4},{6,8}}
[5,8,2,4,7,6,3,1]=>[8,5,4,2,3,7,1,6]=>{{1,8},{2,5},{3,4},{6,7}}=>{{1,8},{2,3},{4,7},{5,6}}
[1,6,7,4,8,2,3,5]=>[6,7,8,1,4,2,3,5]=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}
[3,6,1,4,7,2,8,5]=>[3,1,6,4,7,8,2,5]=>{{1,3,6,8},{2},{4},{5,7}}=>{{1,3,6,8},{2,4},{5},{7}}
[5,8,1,2,6,4,7,3]=>[8,1,5,4,6,7,2,3]=>{{1,8},{2},{3,5,6,7},{4}}=>{{1,8},{2,3,4,6},{5},{7}}
[5,7,3,6,4,8,2,1]=>[7,5,3,6,2,8,1,4]=>{{1,7},{2,5},{3},{4,6,8}}=>{{1,3,5},{2,8},{4,7},{6}}
[2,3,5,1,8,4,7,6]=>[8,2,5,1,7,3,4,6]=>{{1,8},{2},{3,5,7},{4},{6}}=>{{1,8},{2,4,6},{3},{5},{7}}
[2,3,7,5,1,8,4,6]=>[2,7,1,8,5,3,4,6]=>{{1,2,7},{3},{4,8},{5},{6}}=>{{1,5},{2,7,8},{3},{4},{6}}
[3,1,7,5,4,8,6,2]=>[7,3,1,5,4,2,8,6]=>{{1,7,8},{2,3},{4,5},{6}}=>{{1,2,8},{3},{4,5},{6,7}}
[1,2,5,8,4,7,3,6]=>[5,8,4,7,1,2,3,6]=>{{1,5},{2,8},{3,4,7},{6}}=>{{1,7},{2,5,6},{3},{4,8}}
[1,2,5,8,4,3,7,6]=>[5,4,8,7,1,2,3,6]=>{{1,5},{2,4,7},{3,8},{6}}=>{{1,6},{2,5,7},{3},{4,8}}
[1,3,5,8,2,4,7,6]=>[8,3,5,7,1,2,4,6]=>{{1,8},{2,3,5},{4,7},{6}}=>{{1,8},{2,5},{3},{4,6,7}}
[1,3,6,8,2,5,4,7]=>[3,6,5,8,1,2,4,7]=>{{1,3,5},{2,6},{4,8},{7}}=>{{1,5},{2},{3,7},{4,6,8}}
[3,1,6,5,8,7,4,2]=>[6,5,3,1,4,2,8,7]=>{{1,6},{2,5},{3},{4},{7,8}}=>{{1,2},{3,8},{4,7},{5},{6}}
[1,2,7,5,6,8,4,3]=>[7,5,1,2,4,3,6,8]=>{{1,7},{2,5},{3},{4},{6},{8}}=>{{1},{2,8},{3},{4,7},{5},{6}}
[1,4,6,8,3,5,7,2]=>[4,3,6,8,1,2,5,7]=>{{1,4,8},{2,3,6},{5},{7}}=>{{1,5,8},{2},{3,6,7},{4}}
[1,3,6,8,2,5,7,4]=>[6,3,5,8,1,2,4,7]=>{{1,6},{2,3,5},{4,8},{7}}=>{{1,5},{2},{3,8},{4,6,7}}
[1,3,5,8,2,7,4,6]=>[3,8,5,7,1,2,4,6]=>{{1,3,5},{2,8},{4,7},{6}}=>{{1,7},{2,5},{3},{4,6,8}}
[1,2,5,8,4,7,6,3]=>[8,5,4,7,1,2,3,6]=>{{1,8},{2,5},{3,4,7},{6}}=>{{1,8},{2,5,6},{3},{4,7}}
[1,2,4,8,7,3,6,5]=>[8,4,7,6,1,2,3,5]=>{{1,8},{2,4,6},{3,7},{5}}=>{{1,8},{2,6},{3,5,7},{4}}
[1,3,5,8,7,2,4,6]=>[3,5,8,7,1,2,4,6]=>{{1,3,8},{2,5},{4,7},{6}}=>{{1,6,8},{2,5},{3},{4,7}}
[1,2,6,8,5,7,4,3]=>[6,5,4,8,1,2,3,7]=>{{1,6},{2,5},{3,4,8},{7}}=>{{1,5,6},{2},{3,8},{4,7}}
[1,2,4,8,7,6,3,5]=>[4,8,7,6,1,2,3,5]=>{{1,4,6},{2,8},{3,7},{5}}=>{{1,7},{2,6},{3,5,8},{4}}
[8,2,1,7,3,4,5,6]=>[2,3,4,5,1,8,7,6]=>{{1,2,3,4,5},{6,8},{7}}=>{{1,3},{2},{4,5,6,7,8}}
[7,1,6,2,3,4,5,8]=>[1,2,3,4,7,6,8,5]=>{{1},{2},{3},{4},{5,7,8},{6}}=>{{1,2,4},{3},{5},{6},{7},{8}}
[1,7,8,3,4,5,6,2]=>[7,1,3,4,8,2,5,6]=>{{1,7},{2},{3},{4},{5,8},{6}}=>{{1,4},{2,8},{3},{5},{6},{7}}
[3,8,7,2,4,5,6,1]=>[8,3,4,5,7,2,1,6]=>{{1,8},{2,3,4,5,7},{6}}=>{{1,8},{2,4,5,6,7},{3}}
[3,6,2,4,7,1,8,5]=>[3,2,6,4,7,8,1,5]=>{{1,3,6,8},{2},{4},{5,7}}=>{{1,3,6,8},{2,4},{5},{7}}
[5,6,1,2,8,4,3,7]=>[1,5,4,2,6,8,3,7]=>{{1},{2,5,6,8},{3,4},{7}}=>{{1,3,4,7},{2},{5,6},{8}}
[3,1,2,4,5,6,7,8,9]=>[1,3,4,5,6,7,8,9,2]=>{{1},{2,3,4,5,6,7,8,9}}=>{{1,2,3,4,5,6,7,8},{9}}
[2,4,1,3,5,6,7,8,9]=>[2,4,5,6,7,8,9,1,3]=>{{1,2,4,6,8},{3,5,7,9}}=>{{1,3,5,7},{2,4,6,8,9}}
[3,4,1,6,5,8,7,2]=>[6,3,1,4,2,8,5,7]=>{{1,6,8},{2,3},{4},{5},{7}}=>{{1,3,8},{2},{4},{5},{6,7}}
[4,3,5,1,2,8,7,6]=>[4,3,1,5,8,2,7,6]=>{{1,4,5,8},{2,3},{6},{7}}=>{{1,4,5,8},{2},{3},{6,7}}
[1,4,8,3,7,6,5,2]=>[8,7,4,3,6,1,2,5]=>{{1,8},{2,7},{3,4},{5,6}}=>{{1,8},{2,7},{3,4},{5,6}}
[1,8,2,7,6,5,4,3]=>[8,7,6,5,1,4,2,3]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,8},{2,7},{3,6},{4,5}}
[7,2,3,8,5,6,1,4]=>[7,8,2,3,1,5,6,4]=>{{1,7},{2,8},{3},{4},{5},{6}}=>{{1,7},{2,8},{3},{4},{5},{6}}
[7,6,2,5,4,3,1,8]=>[2,7,6,5,4,8,3,1]=>{{1,2,7},{3,6,8},{4,5}}=>{{1,3,6},{2,7,8},{4,5}}
[1,3,4,7,6,2,8,5]=>[3,1,7,6,2,4,5,8]=>{{1,3,7},{2},{4,6},{5},{8}}=>{{1},{2,6,8},{3,5},{4},{7}}
[1,2,4,7,3,8,6,5]=>[7,4,1,6,2,3,5,8]=>{{1,7},{2,4,6},{3},{5},{8}}=>{{1},{2,8},{3,5,7},{4},{6}}
[4,1,7,8,2,6,5,3]=>[7,6,4,5,1,2,8,3]=>{{1,7,8},{2,6},{3,4,5}}=>{{1,2,8},{3,7},{4,5,6}}
[5,6,4,7,8,1,3,2]=>[5,4,6,1,3,7,2,8]=>{{1,5},{2,4},{3,6,7},{8}}=>{{1},{2,3,6},{4,8},{5,7}}
[3,4,6,5,1,2,8,7]=>[3,1,6,8,4,2,5,7]=>{{1,3,6},{2},{4,8},{5},{7}}=>{{1,5},{2},{3,6,8},{4},{7}}
[7,3,5,1,2,8,6,4]=>[7,3,1,5,8,2,6,4]=>{{1,7},{2,3},{4,5,8},{6}}=>{{1,4,5},{2,8},{3},{6,7}}
[1,4,6,2,3,8,7,5]=>[8,4,1,6,7,2,3,5]=>{{1,8},{2,4,6},{3},{5,7}}=>{{1,8},{2,4},{3,5,7},{6}}
[1,3,2,7,4,8,6,5]=>[7,3,1,6,2,8,4,5]=>{{1,7},{2,3},{4,6,8},{5}}=>{{1,3,5},{2,8},{4},{6,7}}
[2,3,1,7,6,4,8,5]=>[2,1,7,6,3,8,4,5]=>{{1,2},{3,7},{4,6,8},{5}}=>{{1,3,5},{2,6},{4},{7,8}}
[4,7,5,1,2,8,6,3]=>[7,4,1,5,8,6,2,3]=>{{1,7},{2,4,5,8},{3},{6}}=>{{1,4,5,7},{2,8},{3},{6}}
[2,7,1,3,8,6,5,4]=>[7,6,2,1,5,8,3,4]=>{{1,7},{2,6,8},{3},{4},{5}}=>{{1,3,7},{2,8},{4},{5},{6}}
[4,1,5,3,8,2,7,6]=>[4,3,8,1,5,2,7,6]=>{{1,4},{2,3,8},{5},{6},{7}}=>{{1,6,7},{2},{3},{4},{5,8}}
[5,4,1,8,3,2,6,7]=>[1,5,6,4,3,8,7,2]=>{{1},{2,5},{3,6,8},{4},{7}}=>{{1,3,6},{2},{4,7},{5},{8}}
[4,6,3,1,8,2,7,5]=>[4,3,6,1,8,7,2,5]=>{{1,4},{2,3,6,7},{5,8}}=>{{1,4},{2,3,6,7},{5,8}}
[4,3,1,6,8,2,7,5]=>[4,3,6,1,2,8,7,5]=>{{1,4},{2,3,6,8},{5},{7}}=>{{1,3,6,7},{2},{4},{5,8}}
[5,2,8,7,3,4,1,6]=>[2,8,3,5,4,1,7,6]=>{{1,2,8},{3},{4,5},{6},{7}}=>{{1,7,8},{2},{3},{4,5},{6}}
[4,6,8,2,7,3,1,5]=>[4,8,6,2,7,1,3,5]=>{{1,4},{2,8},{3,6},{5,7}}=>{{1,7},{2,4},{3,6},{5,8}}
[7,2,8,6,3,5,1,4]=>[7,8,2,6,3,1,5,4]=>{{1,7},{2,8},{3},{4,6},{5}}=>{{1,7},{2,8},{3,5},{4},{6}}
[7,1,8,6,5,2,3,4]=>[1,2,7,6,5,3,8,4]=>{{1},{2},{3,7,8},{4,6},{5}}=>{{1,2,6},{3,5},{4},{7},{8}}
[6,3,8,1,5,4,7,2]=>[6,3,5,4,8,1,7,2]=>{{1,6},{2,3,5,8},{4},{7}}=>{{1,4,6,7},{2},{3,8},{5}}
[5,8,4,7,2,6,3,1]=>[8,5,4,7,2,6,1,3]=>{{1,8},{2,5},{3,4,7},{6}}=>{{1,8},{2,5,6},{3},{4,7}}
[3,4,7,5,6,1,2,8]=>[3,4,7,1,5,2,6,8]=>{{1,3,7},{2,4},{5},{6},{8}}=>{{1},{2,6,8},{3},{4},{5,7}}
[2,4,1,3,5,6,7,8,9,10]=>[2,4,5,6,7,8,9,10,1,3]=>{{1,2,4,6,8,10},{3,5,7,9}}=>{{1,3,5,7,9,10},{2,4,6,8}}
[4,1,8,2,7,3,6,5]=>[8,1,7,2,4,3,6,5]=>{{1,8},{2},{3,7},{4},{5},{6}}=>{{1,8},{2,6},{3},{4},{5},{7}}
[4,1,7,2,8,3,6,5]=>[7,1,4,2,6,3,8,5]=>{{1,7,8},{2},{3,4},{5,6}}=>{{1,2,8},{3,4},{5,6},{7}}
[5,1,7,2,8,3,6,4]=>[7,1,5,2,6,3,8,4]=>{{1,7,8},{2},{3,5,6},{4}}=>{{1,2,8},{3,4,6},{5},{7}}
[6,1,7,2,8,3,5,4]=>[6,1,5,2,7,3,8,4]=>{{1,6},{2},{3,5,7,8},{4}}=>{{1,2,4,6},{3,8},{5},{7}}
[7,1,6,2,4,3,8,5]=>[7,1,8,2,6,4,5,3]=>{{1,7},{2},{3,8},{4},{5,6}}=>{{1,6},{2,8},{3,4},{5},{7}}
[1,8,2,7,4,3,5,6]=>[1,2,8,7,4,5,3,6]=>{{1},{2},{3,8},{4,7},{5},{6}}=>{{1,6},{2,5},{3},{4},{7},{8}}
[1,8,5,4,7,2,6,3]=>[5,4,8,1,7,6,2,3]=>{{1,5,7},{2,4},{3,8},{6}}=>{{1,6},{2,4,8},{3},{5,7}}
[1,8,4,2,5,3,7,6]=>[4,1,5,2,8,7,3,6]=>{{1,4},{2},{3,5,8},{6,7}}=>{{1,4,6},{2,3},{5,8},{7}}
[4,1,7,3,2,5,6,8]=>[1,4,5,7,3,2,8,6]=>{{1},{2,4,7,8},{3,5},{6}}=>{{1,2,5,7},{3},{4,6},{8}}
[4,3,1,6,2,5,7,8]=>[1,4,6,7,3,8,5,2]=>{{1},{2,4,7},{3,6,8},{5}}=>{{1,3,6},{2,5,7},{4},{8}}
[6,3,2,8,5,7,1,4]=>[6,8,3,5,2,7,4,1]=>{{1,6,7},{2,8},{3},{4,5}}=>{{1,7},{2,3,8},{4,5},{6}}
[5,4,3,1,6,7,2,8]=>[5,6,1,7,8,4,3,2]=>{{1,5,8},{2,6},{3},{4,7}}=>{{1,4,8},{2,5},{3,7},{6}}
[5,4,2,1,6,7,8,3]=>[5,2,6,7,8,4,3,1]=>{{1,5,8},{2},{3,6},{4,7}}=>{{1,4,8},{2,5},{3,6},{7}}
[5,4,3,1,6,7,8,2]=>[5,1,6,7,8,4,3,2]=>{{1,5,8},{2},{3,6},{4,7}}=>{{1,4,8},{2,5},{3,6},{7}}
[7,8,1,3,2,4,6,5]=>[7,1,3,8,4,6,2,5]=>{{1,7},{2},{3},{4,8},{5},{6}}=>{{1,5},{2,8},{3},{4},{6},{7}}
[7,8,2,1,3,5,4,6]=>[2,7,3,5,8,6,1,4]=>{{1,2,7},{3},{4,5,8},{6}}=>{{1,4,5},{2,7,8},{3},{6}}
[7,8,9,10,4,5,6,2,3,1]=>[7,4,8,2,5,9,1,3,6,10]=>{{1,7},{2,4},{3,8},{5},{6,9},{10}}=>{{1},{2,5},{3,8},{4,10},{6},{7,9}}
[6,2,7,4,5,1,3,8]=>[2,6,7,4,5,1,8,3]=>{{1,2,6},{3,7,8},{4},{5}}=>{{1,2,6},{3,7,8},{4},{5}}
[7,3,4,1,6,2,5,8]=>[3,4,7,1,8,2,6,5]=>{{1,3,7},{2,4},{5,8},{6}}=>{{1,4},{2,6,8},{3},{5,7}}
[7,3,4,1,5,6,2,8]=>[3,4,1,5,7,6,8,2]=>{{1,3},{2,4,5,7,8},{6}}=>{{1,2,4,5,7},{3},{6,8}}
[7,6,5,4,1,3,2,8]=>[1,7,6,8,5,4,3,2]=>{{1},{2,7},{3,6},{4,8},{5}}=>{{1,5},{2,7},{3,6},{4},{8}}
[5,6,1,4,7,3,8,2]=>[5,4,6,3,7,8,1,2]=>{{1,5,7},{2,4},{3,6,8}}=>{{1,3,6},{2,4,8},{5,7}}
[3,1,2,5,6,8,7,4]=>[8,3,1,2,5,6,7,4]=>{{1,8},{2,3},{4},{5},{6},{7}}=>{{1,8},{2},{3},{4},{5},{6,7}}
[6,3,5,2,4,7,8,1]=>[6,3,5,7,8,2,4,1]=>{{1,6},{2,3,5,8},{4,7}}=>{{1,4,6,7},{2,5},{3,8}}
[7,1,5,2,6,8,3,4]=>[5,7,1,2,8,3,6,4]=>{{1,5,8},{2,7},{3},{4},{6}}=>{{1,4,8},{2,7},{3},{5},{6}}
[1,3,4,5,8,6,2,7]=>[1,8,3,2,4,5,6,7]=>{{1},{2,8},{3},{4},{5},{6},{7}}=>{{1,7},{2},{3},{4},{5},{6},{8}}
[1,3,4,5,8,2,7,6]=>[8,3,7,1,2,4,5,6]=>{{1,8},{2,3,7},{4},{5},{6}}=>{{1,8},{2,6,7},{3},{4},{5}}
[5,7,4,6,1,8,3,2]=>[5,4,3,7,6,8,1,2]=>{{1,5,6,8},{2,4,7},{3}}=>{{1,3,4,8},{2,5,7},{6}}
[7,3,4,5,8,2,1,6]=>[7,8,3,2,4,5,6,1]=>{{1,7},{2,8},{3},{4},{5},{6}}=>{{1,7},{2,8},{3},{4},{5},{6}}
[8,4,7,3,6,5,1,2]=>[4,8,7,3,6,1,5,2]=>{{1,4},{2,8},{3,7},{5,6}}=>{{1,7},{2,6},{3,4},{5,8}}
[3,2,1,6,4,5,7,8]=>[3,4,6,7,2,8,5,1]=>{{1,3,6,8},{2,4,7},{5}}=>{{1,3,6,8},{2,5,7},{4}}
[2,1,6,3,5,8,4,7]=>[2,6,1,3,5,4,8,7]=>{{1,2,6},{3},{4},{5},{7,8}}=>{{1,2},{3,7,8},{4},{5},{6}}
[8,4,3,6,1,7,5,2]=>[4,3,1,8,6,7,5,2]=>{{1,4,8},{2,3},{5,6,7}}=>{{1,5,8},{2,3,4},{6,7}}
[6,2,1,7,8,3,5,4]=>[6,2,7,1,3,8,5,4]=>{{1,6,8},{2},{3,7},{4},{5}}=>{{1,3,8},{2,6},{4},{5},{7}}
[2,1,8,3,6,7,4,5]=>[2,8,1,3,6,4,7,5]=>{{1,2,8},{3},{4},{5,6},{7}}=>{{1,7,8},{2},{3,4},{5},{6}}
[1,2,8,4,3,5,7,6]=>[4,1,2,8,7,3,5,6]=>{{1,4,8},{2},{3},{5,7},{6}}=>{{1,5,8},{2,4},{3},{6},{7}}
[1,2,6,3,8,5,4,7]=>[1,6,5,2,8,3,4,7]=>{{1},{2,6},{3,5,8},{4},{7}}=>{{1,4,6},{2},{3,7},{5},{8}}
[1,2,7,3,8,5,4,6]=>[1,7,5,2,8,3,4,6]=>{{1},{2,7},{3,5,8},{4},{6}}=>{{1,4,6},{2,7},{3},{5},{8}}
[1,8,7,3,5,6,2,4]=>[3,8,1,2,7,5,4,6]=>{{1,3},{2,8},{4},{5,7},{6}}=>{{1,7},{2,4},{3},{5},{6,8}}
[1,2,8,4,3,7,5,6]=>[1,4,2,8,7,3,5,6]=>{{1},{2,4,8},{3},{5,7},{6}}=>{{1,5,7},{2,4},{3},{6},{8}}
[1,2,3,7,5,4,8,6]=>[7,1,8,5,2,3,4,6]=>{{1,7},{2},{3,8},{4,5},{6}}=>{{1,6},{2,8},{3},{4,5},{7}}
[1,8,6,7,4,2,5,3]=>[6,4,8,7,1,5,2,3]=>{{1,6},{2,4,7},{3,8},{5}}=>{{1,6},{2,5,7},{3,8},{4}}
[2,4,8,1,6,3,7,5]=>[2,1,8,4,6,3,5,7]=>{{1,2},{3,8},{4},{5,6},{7}}=>{{1,6},{2},{3,4},{5},{7,8}}
[3,1,2,8,6,4,7,5]=>[3,1,8,6,2,4,7,5]=>{{1,3,8},{2},{4,6},{5},{7}}=>{{1,6,8},{2},{3,5},{4},{7}}
[2,4,5,3,8,6,1,7]=>[2,4,3,1,8,5,6,7]=>{{1,2,4},{3},{5,8},{6},{7}}=>{{1,4},{2},{3},{5,7,8},{6}}
[1,8,4,3,6,2,7,5]=>[4,1,8,3,6,5,2,7]=>{{1,4},{2},{3,8},{5,6},{7}}=>{{1,6},{2},{3,4},{5,8},{7}}
[7,5,2,8,4,1,6,3]=>[7,2,8,5,1,6,4,3]=>{{1,7},{2},{3,8},{4,5},{6}}=>{{1,6},{2,8},{3},{4,5},{7}}
[1,8,4,2,3,5,7,6]=>[4,1,2,3,8,7,5,6]=>{{1,4},{2},{3},{5,8},{6,7}}=>{{1,4},{2,3},{5,8},{6},{7}}
[2,5,6,8,3,4,1,7]=>[5,6,2,8,1,3,4,7]=>{{1,5},{2,6},{3},{4,8},{7}}=>{{1,5},{2},{3,7},{4,8},{6}}
[2,5,7,8,3,1,4,6]=>[5,7,8,2,1,3,4,6]=>{{1,5},{2,7},{3,8},{4},{6}}=>{{1,6},{2,7},{3},{4,8},{5}}
[2,4,7,3,8,1,5,6]=>[4,7,8,2,3,1,5,6]=>{{1,4},{2,7},{3,8},{5},{6}}=>{{1,6},{2,7},{3},{4},{5,8}}
[6,4,7,3,8,1,2,5]=>[6,7,8,1,4,3,5,2]=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}
[6,4,5,2,3,8,1,7]=>[4,6,2,5,8,3,7,1]=>{{1,4,5,8},{2,6},{3},{7}}=>{{1,4,5,8},{2},{3,7},{6}}
[2,6,7,8,1,3,5,4]=>[6,2,5,7,1,3,4,8]=>{{1,6},{2},{3,5},{4,7},{8}}=>{{1},{2,5},{3,8},{4,6},{7}}
[5,4,7,2,8,1,6,3]=>[5,4,7,2,6,3,8,1]=>{{1,5,6},{2,4},{3,7,8}}=>{{1,2,6},{3,4,8},{5,7}}
[4,3,2,7,8,1,6,5]=>[4,3,7,2,6,8,5,1]=>{{1,4},{2,3,7},{5,6,8}}=>{{1,3,4},{2,6,7},{5,8}}
[3,6,7,8,1,2,5,4]=>[6,3,5,7,1,2,4,8]=>{{1,6},{2,3,5},{4,7},{8}}=>{{1},{2,5},{3,8},{4,6,7}}
[2,7,1,3,5,4,8,6]=>[2,1,7,3,5,8,4,6]=>{{1,2},{3,7},{4},{5},{6,8}}=>{{1,3},{2,6},{4},{5},{7,8}}
[4,7,2,1,5,8,6,3]=>[4,2,1,7,8,5,3,6]=>{{1,4,7},{2},{3},{5,8},{6}}=>{{1,4},{2,5,8},{3},{6},{7}}
[7,3,5,1,6,8,2,4]=>[3,5,1,2,7,6,8,4]=>{{1,3},{2,5,7,8},{4},{6}}=>{{1,2,4,7},{3},{5},{6,8}}
[4,7,3,5,6,1,8,2]=>[4,3,7,5,6,8,1,2]=>{{1,4,5,6,8},{2,3,7}}=>{{1,3,4,5,8},{2,6,7}}
[4,6,8,2,1,5,7,3]=>[4,2,6,8,5,1,3,7]=>{{1,4,8},{2},{3,6},{5},{7}}=>{{1,5,8},{2},{3,6},{4},{7}}
[1,8,2,3,5,7,4,6]=>[5,8,1,2,3,7,4,6]=>{{1,5},{2,8},{3},{4},{6,7}}=>{{1,7},{2,3},{4,8},{5},{6}}
[1,6,2,7,4,8,3,5]=>[6,7,1,4,2,8,3,5]=>{{1,6,8},{2,7},{3},{4},{5}}=>{{1,3,8},{2,7},{4},{5},{6}}
[6,7,3,8,4,1,5,2]=>[6,3,7,4,1,8,2,5]=>{{1,6,8},{2,3,7},{4},{5}}=>{{1,3,8},{2,6,7},{4},{5}}
[2,7,1,8,5,6,3,4]=>[7,8,2,5,1,6,3,4]=>{{1,7},{2,8},{3},{4,5},{6}}=>{{1,7},{2,8},{3},{4,5},{6}}
[4,2,8,3,7,1,6,5]=>[8,4,7,2,3,1,6,5]=>{{1,8},{2,4},{3,7},{5},{6}}=>{{1,8},{2,6},{3},{4},{5,7}}
[7,2,3,4,8,1,5,6]=>[2,7,8,3,4,5,6,1]=>{{1,2,7},{3,8},{4},{5},{6}}=>{{1,6},{2,7,8},{3},{4},{5}}
[7,8,2,3,6,1,5,4]=>[7,6,8,2,3,5,1,4]=>{{1,7},{2,6},{3,8},{4},{5}}=>{{1,6},{2,8},{3,7},{4},{5}}
[7,6,5,1,2,3,8,4]=>[7,1,2,3,8,6,5,4]=>{{1,7},{2},{3},{4},{5,8},{6}}=>{{1,4},{2,8},{3},{5},{6},{7}}
[2,6,4,3,1,5,8,7]=>[6,2,4,8,5,3,1,7]=>{{1,6},{2},{3,4,8},{5},{7}}=>{{1,5,6},{2},{3,8},{4},{7}}
[7,6,5,1,8,2,3,4]=>[1,2,7,3,8,6,5,4]=>{{1},{2},{3,7},{4},{5,8},{6}}=>{{1,4},{2,6},{3},{5},{7},{8}}
[6,1,3,4,2,8,7,5]=>[6,3,1,8,2,4,7,5]=>{{1,6},{2,3},{4,8},{5},{7}}=>{{1,5},{2},{3,8},{4},{6,7}}
[3,8,5,1,7,2,4,6]=>[1,3,5,2,8,7,4,6]=>{{1},{2,3,5,8},{4},{6,7}}=>{{1,4,6,7},{2,3},{5},{8}}
[8,3,7,4,6,1,2,5]=>[3,4,8,1,7,2,6,5]=>{{1,3,8},{2,4},{5,7},{6}}=>{{1,6,8},{2,4},{3},{5,7}}
[4,2,3,1,7,8,6,5]=>[4,2,1,3,7,6,8,5]=>{{1,4},{2},{3},{5,7,8},{6}}=>{{1,2,4},{3},{5,8},{6},{7}}
[3,4,2,1,8,6,7,5]=>[3,2,4,1,8,6,5,7]=>{{1,3,4},{2},{5,8},{6},{7}}=>{{1,4},{2},{3},{5,6,8},{7}}
[3,6,8,2,4,1,5,7]=>[3,4,6,2,8,1,5,7]=>{{1,3,6},{2,4},{5,8},{7}}=>{{1,4},{2},{3,6,8},{5,7}}
[7,8,5,6,4,1,3,2]=>[7,5,8,4,3,6,1,2]=>{{1,7},{2,5},{3,8},{4},{6}}=>{{1,6},{2,8},{3},{4,7},{5}}
[5,8,4,1,6,3,7,2]=>[5,4,6,3,8,7,1,2]=>{{1,5,8},{2,4},{3,6,7}}=>{{1,4,8},{2,3,6},{5,7}}
[8,9,6,7,4,5,2,3,1]=>[8,6,9,4,7,2,5,1,3]=>{{1,8},{2,6},{3,9},{4},{5,7}}=>{{1,7},{2,9},{3,5},{4,8},{6}}
[1,6,8,5,2,7,4,3]=>[6,5,4,8,7,1,2,3]=>{{1,6},{2,5,7},{3,4,8}}=>{{1,5,6},{2,4,7},{3,8}}
[4,1,5,3,6,7,8,2]=>[4,3,5,6,7,1,8,2]=>{{1,4,6},{2,3,5,7,8}}=>{{1,2,4,6,7},{3,5,8}}
[8,4,6,5,1,7,2,3]=>[4,6,1,8,7,2,5,3]=>{{1,4,8},{2,6},{3},{5,7}}=>{{1,5,8},{2,4},{3,7},{6}}
[7,5,4,6,1,2,8,3]=>[5,1,7,8,2,6,4,3]=>{{1,5},{2},{3,7},{4,8},{6}}=>{{1,5},{2,6},{3},{4,8},{7}}
[6,8,4,7,2,1,3,5]=>[2,6,8,4,3,7,1,5]=>{{1,2,6,7},{3,8},{4},{5}}=>{{1,6},{2,3,7,8},{4},{5}}
[6,7,4,1,5,3,8,2]=>[6,4,7,3,8,5,1,2]=>{{1,6},{2,4},{3,7},{5,8}}=>{{1,4},{2,6},{3,8},{5,7}}
[1,7,4,2,3,6,8,5]=>[4,1,2,3,7,6,5,8]=>{{1,4},{2},{3},{5,7},{6},{8}}=>{{1},{2,4},{3},{5,8},{6},{7}}
[6,8,1,5,4,7,3,2]=>[6,5,1,4,3,8,2,7]=>{{1,6,8},{2,5},{3},{4},{7}}=>{{1,3,8},{2},{4,7},{5},{6}}
[5,2,1,4,6,7,8,3]=>[2,1,5,6,7,8,4,3]=>{{1,2},{3,5,7},{4,6,8}}=>{{1,3,5},{2,4,6},{7,8}}
[2,8,1,6,4,3,7,5]=>[2,1,8,6,4,7,3,5]=>{{1,2},{3,8},{4,6,7},{5}}=>{{1,6},{2,3,5},{4},{7,8}}
[2,5,7,1,3,8,6,4]=>[7,2,1,5,6,3,4,8]=>{{1,7},{2},{3},{4,5,6},{8}}=>{{1},{2,8},{3,4,5},{6},{7}}
[2,6,8,1,5,7,4,3]=>[6,5,2,4,8,1,3,7]=>{{1,6},{2,5,8},{3},{4},{7}}=>{{1,4,7},{2},{3,8},{5},{6}}
[2,7,1,6,5,3,8,4]=>[2,1,7,6,5,8,3,4]=>{{1,2},{3,7},{4,6,8},{5}}=>{{1,3,5},{2,6},{4},{7,8}}
[2,8,1,7,6,5,4,3]=>[8,7,6,5,2,4,1,3]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,8},{2,7},{3,6},{4,5}}
[3,7,5,1,4,6,8,2]=>[7,3,5,6,8,4,1,2]=>{{1,7},{2,3,5,8},{4,6}}=>{{1,4,6,7},{2,8},{3,5}}
[8,7,5,3,2,1,6,4]=>[5,3,8,7,6,4,2,1]=>{{1,5,6},{2,3,8},{4,7}}=>{{1,6,7},{2,5},{3,4,8}}
[7,4,6,2,1,8,3,5]=>[4,7,2,8,6,3,5,1]=>{{1,4,8},{2,7},{3},{5,6}}=>{{1,5,8},{2,7},{3,4},{6}}
[5,1,7,6,3,8,2,4]=>[5,7,1,6,3,2,8,4]=>{{1,5},{2,7,8},{3},{4,6}}=>{{1,2,7},{3,5},{4,8},{6}}
[8,5,2,1,6,3,7,4]=>[5,2,6,3,8,7,4,1]=>{{1,5,8},{2},{3,6,7},{4}}=>{{1,4,8},{2,3,6},{5},{7}}
[4,1,8,6,3,7,2,5]=>[4,8,1,6,3,2,7,5]=>{{1,4,6},{2,8},{3},{5},{7}}=>{{1,7},{2},{3,5,8},{4},{6}}
[5,4,8,2,7,3,6,1]=>[5,2,4,3,8,1,7,6]=>{{1,5,8},{2},{3,4},{6},{7}}=>{{1,4,8},{2},{3},{5,6},{7}}
[5,4,8,7,3,6,1,2]=>[5,8,4,7,3,1,6,2]=>{{1,5},{2,8},{3,4,7},{6}}=>{{1,7},{2,5,6},{3},{4,8}}
[6,4,3,8,7,1,2,5]=>[1,6,8,4,3,7,5,2]=>{{1},{2,6,7},{3,8},{4},{5}}=>{{1,6},{2,3,7},{4},{5},{8}}
[5,6,8,4,2,7,3,1]=>[5,4,2,8,6,1,3,7]=>{{1,5,6},{2,4,8},{3},{7}}=>{{1,5,7},{2},{3,4,8},{6}}
[8,6,5,4,2,1,7,3]=>[6,2,8,7,5,4,3,1]=>{{1,6},{2},{3,8},{4,7},{5}}=>{{1,6},{2,5},{3,8},{4},{7}}
[3,2,1,5,4,7,6,9,8,10]=>[3,5,2,7,4,9,6,10,8,1]=>{{1,3},{2,5},{4,7},{6,9},{8,10}}=>{{1,3},{2,5},{4,7},{6,9},{8,10}}
[8,6,2,7,1,4,5,3]=>[6,2,4,8,1,7,5,3]=>{{1,6,7},{2},{3,4,8},{5}}=>{{1,5,6},{2,3,8},{4},{7}}
[8,6,3,7,4,1,2,5]=>[3,6,8,4,1,7,5,2]=>{{1,3,8},{2,6,7},{4},{5}}=>{{1,6,8},{2,3,7},{4},{5}}
[5,2,3,4,7,1,8,6]=>[5,2,7,3,4,6,8,1]=>{{1,5},{2},{3,7,8},{4},{6}}=>{{1,2,6},{3},{4,8},{5},{7}}
[6,7,3,1,5,4,2,8]=>[6,7,5,3,8,4,1,2]=>{{1,6},{2,7},{3,5,8},{4}}=>{{1,4,6},{2,7},{3,8},{5}}
[8,4,1,7,2,3,6,5]=>[8,1,2,4,3,7,6,5]=>{{1,8},{2},{3},{4},{5},{6,7}}=>{{1,8},{2,3},{4},{5},{6},{7}}
[3,2,8,1,6,5,7,4]=>[8,3,6,2,7,1,5,4]=>{{1,8},{2,3,6},{4},{5,7}}=>{{1,8},{2,4},{3,6,7},{5}}
[4,5,8,2,1,3,7,6]=>[4,2,5,8,7,1,3,6]=>{{1,4,8},{2},{3,5,7},{6}}=>{{1,5,8},{2,4,6},{3},{7}}
[8,5,4,1,3,6,2,7]=>[1,8,5,6,7,4,3,2]=>{{1},{2,8},{3,5,7},{4,6}}=>{{1,7},{2,4,6},{3,5},{8}}
[6,8,2,4,5,1,3,7]=>[2,6,8,4,5,7,1,3]=>{{1,2,6,7},{3,8},{4},{5}}=>{{1,6},{2,3,7,8},{4},{5}}
[6,8,3,1,4,5,7,2]=>[6,3,4,5,8,7,1,2]=>{{1,6,7},{2,3,4,5,8}}=>{{1,4,5,6,7},{2,3,8}}
[4,5,2,7,1,6,8,3]=>[4,2,5,7,1,6,3,8]=>{{1,4,7},{2},{3,5},{6},{8}}=>{{1},{2,5,8},{3},{4,6},{7}}
[4,1,2,8,5,7,3,6]=>[4,8,1,5,2,3,7,6]=>{{1,4,5},{2,8},{3},{6},{7}}=>{{1,7},{2},{3},{4,5,8},{6}}
[6,4,2,8,7,1,5,3]=>[6,4,8,2,1,7,5,3]=>{{1,6,7},{2,4},{3,8},{5}}=>{{1,6},{2,3,8},{4},{5,7}}
[3,2,6,7,1,8,4,5]=>[3,6,2,7,4,5,8,1]=>{{1,3},{2,6},{4,7,8},{5}}=>{{1,2,5},{3,7},{4},{6,8}}
[4,5,6,7,8,9,1,2,3]=>[4,5,6,1,2,3,7,8,9]=>{{1,4},{2,5},{3,6},{7},{8},{9}}=>{{1},{2},{3},{4,7},{5,8},{6,9}}
[4,5,6,7,8,9,2,3,1]=>[4,2,5,1,3,6,7,8,9]=>{{1,4},{2},{3,5},{6},{7},{8},{9}}=>{{1},{2},{3},{4},{5,7},{6,9},{8}}
[5,6,7,8,9,1,2,3,4]=>[5,6,7,8,1,2,3,4,9]=>{{1,5},{2,6},{3,7},{4,8},{9}}=>{{1},{2,6},{3,7},{4,8},{5,9}}
[6,7,8,9,2,3,4,5,1]=>[6,2,7,8,9,1,3,4,5]=>{{1,6},{2},{3,7},{4,8},{5,9}}=>{{1,5},{2,6},{3,7},{4,9},{8}}
[8,9,6,7,5,4,3,2,1]=>[8,6,5,4,3,2,9,1,7]=>{{1,8},{2,6},{3,5},{4},{7,9}}=>{{1,3},{2,9},{4,8},{5,7},{6}}
[4,5,6,7,8,9,10,1,2,3]=>[4,5,6,1,2,3,7,8,9,10]=>{{1,4},{2,5},{3,6},{7},{8},{9},{10}}=>{{1},{2},{3},{4},{5,8},{6,9},{7,10}}
[4,5,6,7,8,9,10,2,3,1]=>[4,2,5,1,3,6,7,8,9,10]=>{{1,4},{2},{3,5},{6},{7},{8},{9},{10}}=>{{1},{2},{3},{4},{5},{6,8},{7,10},{9}}
[5,6,7,8,9,10,1,2,3,4]=>[5,6,7,8,1,2,3,4,9,10]=>{{1,5},{2,6},{3,7},{4,8},{9},{10}}=>{{1},{2},{3,7},{4,8},{5,9},{6,10}}
[5,6,7,8,9,10,3,4,1,2]=>[5,6,3,4,1,2,7,8,9,10]=>{{1,5},{2,6},{3},{4},{7},{8},{9},{10}}=>{{1},{2},{3},{4},{5,9},{6,10},{7},{8}}
[7,8,9,10,3,4,5,6,1,2]=>[7,8,3,4,9,10,1,2,5,6]=>{{1,7},{2,8},{3},{4},{5,9},{6,10}}=>{{1,5},{2,6},{3,9},{4,10},{7},{8}}
[7,8,9,10,5,6,3,4,1,2]=>[7,8,5,6,3,4,1,2,9,10]=>{{1,7},{2,8},{3,5},{4,6},{9},{10}}=>{{1},{2},{3,9},{4,10},{5,7},{6,8}}
[8,9,10,5,6,7,2,3,4,1]=>[8,5,9,10,2,6,7,1,3,4]=>{{1,8},{2,5},{3,9},{4,10},{6},{7}}=>{{1,7},{2,8},{3,10},{4},{5},{6,9}}
[5,3,8,7,6,4,1,2]=>[5,8,7,6,3,1,4,2]=>{{1,5},{2,8},{3,7},{4,6}}=>{{1,7},{2,6},{3,5},{4,8}}
[6,1,8,7,5,4,3,2]=>[8,6,5,4,3,1,7,2]=>{{1,8},{2,6},{3,5},{4},{7}}=>{{1,8},{2},{3,7},{4,6},{5}}
[3,1,8,7,6,5,4,2]=>[8,7,6,5,3,1,4,2]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,8},{2,7},{3,6},{4,5}}
[4,2,8,1,7,6,5,3]=>[8,7,4,2,6,1,5,3]=>{{1,8},{2,7},{3,4},{5,6}}=>{{1,8},{2,7},{3,4},{5,6}}
[3,8,7,2,1,6,5,4]=>[8,3,2,7,6,5,1,4]=>{{1,8},{2,3},{4,7},{5,6}}=>{{1,8},{2,5},{3,4},{6,7}}
[5,4,1,8,7,6,3,2]=>[8,5,4,3,1,7,6,2]=>{{1,8},{2,5},{3,4},{6,7}}=>{{1,8},{2,3},{4,7},{5,6}}
[8,2,3,6,1,4,5,7]=>[2,3,4,8,1,6,7,5]=>{{1,2,3,4,8},{5},{6},{7}}=>{{1,5,6,7,8},{2},{3},{4}}
[6,2,3,8,1,4,5,7]=>[2,3,6,8,4,5,7,1]=>{{1,2,3,6},{4,8},{5},{7}}=>{{1,5},{2},{3,6,7,8},{4}}
[4,6,2,3,8,1,5,7]=>[2,4,6,3,5,8,1,7]=>{{1,2,4},{3,6,8},{5},{7}}=>{{1,3,6},{2},{4},{5,7,8}}
[6,2,3,8,4,1,5,7]=>[2,3,6,4,1,5,8,7]=>{{1,2,3,6},{4},{5},{7,8}}=>{{1,2},{3,6,7,8},{4},{5}}
[2,8,4,3,6,1,5,7]=>[2,4,8,3,6,5,1,7]=>{{1,2,4},{3,8},{5,6},{7}}=>{{1,6},{2},{3,4},{5,7,8}}
[2,8,3,6,1,4,5,7]=>[2,3,4,8,1,6,5,7]=>{{1,2,3,4,8},{5},{6},{7}}=>{{1,5,6,7,8},{2},{3},{4}}
[8,2,1,3,6,4,5,7]=>[2,3,4,1,6,8,7,5]=>{{1,2,3,4},{5,6,8},{7}}=>{{1,3,4},{2},{5,6,7,8}}
[1,6,5,2,4,8,7,3]=>[6,5,1,2,8,4,3,7]=>{{1,6},{2,5,8},{3},{4},{7}}=>{{1,4,7},{2},{3,8},{5},{6}}
[1,2,8,5,7,3,6,4]=>[8,5,7,1,6,2,3,4]=>{{1,8},{2,5,6},{3,7},{4}}=>{{1,8},{2,6},{3,4,7},{5}}
[1,2,7,3,5,8,6,4]=>[7,5,1,2,8,3,4,6]=>{{1,7},{2,5,8},{3},{4},{6}}=>{{1,4,7},{2,8},{3},{5},{6}}
[4,6,1,3,5,8,7,2]=>[4,3,1,2,6,8,5,7]=>{{1,4},{2,3},{5,6,8},{7}}=>{{1,3,4},{2},{5,8},{6,7}}
[4,2,1,6,3,5,7,8]=>[2,4,6,7,3,8,5,1]=>{{1,2,4,7},{3,6,8},{5}}=>{{1,3,6},{2,5,7,8},{4}}
[6,2,1,4,3,5,7,8]=>[2,4,6,7,1,8,5,3]=>{{1,2,4,7},{3,6,8},{5}}=>{{1,3,6},{2,5,7,8},{4}}
[8,2,4,1,3,5,7,6]=>[2,1,4,5,8,3,7,6]=>{{1,2},{3,4,5,8},{6},{7}}=>{{1,4,5,6},{2},{3},{7,8}}
[6,4,1,8,3,5,7,2]=>[6,1,4,5,3,8,7,2]=>{{1,6,8},{2},{3,4,5},{7}}=>{{1,3,8},{2},{4,5,6},{7}}
[1,4,3,6,8,5,7,2]=>[4,3,6,1,2,8,5,7]=>{{1,4},{2,3,6,8},{5},{7}}=>{{1,3,6,7},{2},{4},{5,8}}
[4,1,3,8,6,5,7,2]=>[8,1,4,3,2,6,7,5]=>{{1,8},{2},{3,4},{5},{6},{7}}=>{{1,8},{2},{3},{4},{5,6},{7}}
[2,1,8,3,6,5,7,4]=>[8,2,6,3,5,1,7,4]=>{{1,8},{2},{3,6},{4},{5},{7}}=>{{1,8},{2},{3,6},{4},{5},{7}}
[2,8,1,6,3,5,7,4]=>[8,2,3,6,5,7,1,4]=>{{1,8},{2},{3},{4,6,7},{5}}=>{{1,8},{2,3,5},{4},{6},{7}}
[2,8,4,1,3,5,7,6]=>[2,1,4,5,8,7,3,6]=>{{1,2},{3,4,5,8},{6,7}}=>{{1,4,5,6},{2,3},{7,8}}
[6,8,3,1,4,2,5,7]=>[3,4,6,5,8,7,1,2]=>{{1,3,6,7},{2,4,5,8}}=>{{1,4,5,7},{2,3,6,8}}
[6,7,3,1,4,2,8,5]=>[6,3,7,4,8,5,1,2]=>{{1,6},{2,3,7},{4},{5,8}}=>{{1,4},{2,6,7},{3,8},{5}}
[6,5,8,7,3,4,2,1]=>[6,5,3,8,2,1,7,4]=>{{1,6},{2,5},{3},{4,8},{7}}=>{{1,5},{2},{3,8},{4,7},{6}}
[6,8,3,1,4,5,2,7]=>[3,6,4,5,8,7,1,2]=>{{1,3,4,5,8},{2,6,7}}=>{{1,4,5,6,8},{2,3,7}}
[8,5,4,7,3,2,1,6]=>[5,8,7,4,3,6,2,1]=>{{1,5},{2,8},{3,7},{4},{6}}=>{{1,7},{2,6},{3},{4,8},{5}}
[7,8,2,1,5,6,4,3]=>[7,5,2,4,8,6,1,3]=>{{1,7},{2,5,8},{3},{4},{6}}=>{{1,4,7},{2,8},{3},{5},{6}}
[5,2,7,1,8,6,3,4]=>[5,7,2,1,8,3,6,4]=>{{1,5,8},{2,7},{3},{4},{6}}=>{{1,4,8},{2,7},{3},{5},{6}}
[8,3,7,4,2,6,5,1]=>[8,3,2,7,6,4,5,1]=>{{1,8},{2,3},{4,7},{5,6}}=>{{1,8},{2,5},{3,4},{6,7}}
[3,4,8,7,1,5,6,2]=>[8,3,4,7,5,1,2,6]=>{{1,8},{2,3,4,7},{5},{6}}=>{{1,8},{2,5,6,7},{3},{4}}
[2,6,8,4,1,3,7,5]=>[6,2,4,8,7,1,3,5]=>{{1,6},{2},{3,4,8},{5,7}}=>{{1,5,6},{2,4},{3,8},{7}}
[5,4,8,6,2,1,3,7]=>[5,6,8,4,2,1,7,3]=>{{1,5},{2,6},{3,8},{4},{7}}=>{{1,6},{2},{3,7},{4,8},{5}}
[2,3,6,8,1,5,4,7]=>[2,6,5,8,1,3,4,7]=>{{1,2,6},{3,5},{4,8},{7}}=>{{1,5},{2},{3,7,8},{4,6}}
[6,3,5,4,7,1,8,2]=>[3,1,6,5,7,4,8,2]=>{{1,3,6},{2},{4,5,7,8}}=>{{1,2,4,5},{3,6,8},{7}}
[7,3,5,8,4,6,2,1]=>[7,5,3,8,2,4,6,1]=>{{1,7},{2,5},{3},{4,8},{6}}=>{{1,5},{2,8},{3},{4,7},{6}}
[5,2,8,4,6,3,7,1]=>[5,2,4,3,6,1,8,7]=>{{1,5,6},{2},{3,4},{7,8}}=>{{1,2},{3,4,8},{5,6},{7}}
[8,1,2,5,4,3,6,7]=>[1,2,8,5,4,6,7,3]=>{{1},{2},{3,8},{4,5},{6},{7}}=>{{1,6},{2},{3},{4,5},{7},{8}}
[3,2,8,6,1,5,4,7]=>[3,8,6,7,2,1,5,4]=>{{1,3,6},{2,8},{4,7},{5}}=>{{1,7},{2,5},{3,6,8},{4}}
[7,2,3,6,1,4,8,5]=>[2,1,7,8,3,4,6,5]=>{{1,2},{3,7},{4,8},{5},{6}}=>{{1,5},{2,6},{3},{4},{7,8}}
[1,3,7,2,5,8,4,6]=>[3,7,1,5,8,2,4,6]=>{{1,3},{2,7},{4,5,8},{6}}=>{{1,4,5},{2,7},{3},{6,8}}
[7,1,2,3,5,8,4,6]=>[7,8,1,2,3,5,6,4]=>{{1,7},{2,8},{3},{4},{5},{6}}=>{{1,7},{2,8},{3},{4},{5},{6}}
[6,8,3,1,7,2,4,5]=>[1,3,6,4,8,7,2,5]=>{{1},{2,3,6,7},{4},{5,8}}=>{{1,4},{2,3,6,7},{5},{8}}
[2,8,3,6,4,7,1,5]=>[6,8,2,7,3,4,1,5]=>{{1,6},{2,8},{3},{4,7},{5}}=>{{1,7},{2,5},{3,8},{4},{6}}
[1,2,8,3,5,7,4,6]=>[5,8,1,2,7,3,4,6]=>{{1,5,7},{2,8},{3},{4},{6}}=>{{1,7},{2,4,8},{3},{5},{6}}
[1,8,3,2,5,7,4,6]=>[3,5,1,2,8,7,4,6]=>{{1,3},{2,5,8},{4},{6,7}}=>{{1,4,7},{2,3},{5},{6,8}}
[4,6,1,7,3,5,2,8]=>[4,6,3,7,1,8,2,5]=>{{1,4,7},{2,6,8},{3},{5}}=>{{1,3,7},{2,5,8},{4},{6}}
[7,6,4,8,1,5,2,3]=>[1,7,4,8,2,6,5,3]=>{{1},{2,7},{3,4,8},{5},{6}}=>{{1,5,6},{2,7},{3},{4},{8}}
[4,2,3,7,8,5,1,6]=>[4,7,2,1,3,5,8,6]=>{{1,4},{2,7,8},{3},{5},{6}}=>{{1,2,7},{3},{4},{5,8},{6}}
[8,7,4,6,1,5,2,3]=>[1,8,4,7,2,6,5,3]=>{{1},{2,8},{3,4,7},{5},{6}}=>{{1,7},{2,5,6},{3},{4},{8}}
[2,4,7,1,5,8,6,3]=>[7,2,1,4,8,3,5,6]=>{{1,7},{2},{3},{4},{5,8},{6}}=>{{1,4},{2,8},{3},{5},{6},{7}}
[6,8,7,5,1,4,2,3]=>[1,8,6,7,5,4,2,3]=>{{1},{2,8},{3,6},{4,7},{5}}=>{{1,7},{2,5},{3,6},{4},{8}}
[2,4,6,7,1,5,8,3]=>[6,2,4,5,1,3,7,8]=>{{1,6},{2},{3,4,5},{7},{8}}=>{{1},{2},{3,8},{4,5,6},{7}}
[7,8,6,5,1,4,2,3]=>[1,7,6,8,5,4,2,3]=>{{1},{2,7},{3,6},{4,8},{5}}=>{{1,5},{2,7},{3,6},{4},{8}}
[7,1,5,3,8,4,2,6]=>[1,7,5,3,8,4,6,2]=>{{1},{2,7},{3,5,8},{4},{6}}=>{{1,4,6},{2,7},{3},{5},{8}}
[8,7,2,1,4,5,3,6]=>[2,4,1,5,8,7,6,3]=>{{1,2,4,5,8},{3},{6,7}}=>{{1,4,5,7,8},{2,3},{6}}
[6,2,4,1,8,5,3,7]=>[2,6,4,1,8,5,7,3]=>{{1,2,6},{3,4},{5,8},{7}}=>{{1,4},{2},{3,7,8},{5,6}}
[8,3,1,4,5,6,7,2]=>[3,1,4,5,6,8,7,2]=>{{1,3,4,5,6,8},{2},{7}}=>{{1,3,4,5,6,8},{2},{7}}
[4,1,3,5,6,7,2,8]=>[1,4,3,5,6,7,8,2]=>{{1},{2,4,5,6,7,8},{3}}=>{{1,2,3,4,5,7},{6},{8}}
[1,5,8,4,6,7,3,2]=>[5,4,1,3,8,2,6,7]=>{{1,5,8},{2,4},{3},{6},{7}}=>{{1,4,8},{2},{3},{5,7},{6}}
[1,4,8,3,6,7,5,2]=>[8,4,1,3,6,2,5,7]=>{{1,8},{2,4},{3},{5,6},{7}}=>{{1,8},{2},{3,4},{5,7},{6}}
[7,5,4,1,6,2,3,8]=>[1,5,7,2,8,6,4,3]=>{{1},{2,5,8},{3,7},{4},{6}}=>{{1,4,7},{2,6},{3},{5},{8}}
[8,7,6,1,3,2,5,4]=>[3,1,8,2,7,6,5,4]=>{{1,3,8},{2},{4},{5,7},{6}}=>{{1,6,8},{2,4},{3},{5},{7}}
[8,5,6,4,1,7,2,3]=>[5,6,1,8,7,2,4,3]=>{{1,5,7},{2,6},{3},{4,8}}=>{{1,5},{2,4,8},{3,7},{6}}
[8,5,6,3,1,2,7,4]=>[5,1,6,8,7,3,4,2]=>{{1,5,7},{2},{3,6},{4,8}}=>{{1,5},{2,4,8},{3,6},{7}}
[8,3,5,4,2,1,7,6]=>[5,3,8,7,4,2,6,1]=>{{1,5},{2,3,8},{4,7},{6}}=>{{1,6,7},{2,5},{3},{4,8}}
[2,11,1,3,4,5,6,7,8,9,10]=>[2,3,4,5,6,7,8,9,11,1,10]=>{{1,2,3,4,5,6,7,8,9,11},{10}}=>{{1,3,4,5,6,7,8,9,10,11},{2}}
[4,2,1,3,7,5,6,8]=>[2,4,5,3,7,8,6,1]=>{{1,2,4},{3,5,7},{6,8}}=>{{1,3},{2,4,6},{5,7,8}}
[3,6,7,5,2,4,8,1]=>[6,3,5,7,2,1,4,8]=>{{1,6},{2,3,5},{4,7},{8}}=>{{1},{2,5},{3,8},{4,6,7}}
[4,2,1,3,7,6,5,8]=>[2,4,3,1,7,8,6,5]=>{{1,2,4},{3},{5,7},{6,8}}=>{{1,3},{2,4},{5,7,8},{6}}
[4,2,1,3,5,8,6,7]=>[2,4,3,5,6,8,7,1]=>{{1,2,4,5,6,8},{3},{7}}=>{{1,3,4,5,7,8},{2},{6}}
[4,8,1,7,3,6,5,2]=>[8,7,1,4,3,6,2,5]=>{{1,8},{2,7},{3},{4},{5},{6}}=>{{1,8},{2,7},{3},{4},{5},{6}}
[3,5,6,1,4,8,7,2]=>[5,3,1,4,8,2,6,7]=>{{1,5,8},{2,3},{4},{6},{7}}=>{{1,4,8},{2},{3},{5},{6,7}}
[3,5,6,2,4,1,7,8]=>[3,5,6,2,7,1,4,8]=>{{1,3,6},{2,5,7},{4},{8}}=>{{1},{2,4,7},{3,6,8},{5}}
[5,7,4,6,8,1,3,2]=>[5,4,7,3,6,8,1,2]=>{{1,5,6,8},{2,4},{3,7}}=>{{1,3,4,8},{2,6},{5,7}}
[4,8,5,1,6,7,3,2]=>[8,4,1,5,6,3,2,7]=>{{1,8},{2,4,5,6},{3},{7}}=>{{1,8},{2},{3,4,5,7},{6}}
[8,1,4,5,6,7,3,2]=>[8,4,1,3,5,6,7,2]=>{{1,8},{2,4},{3},{5},{6},{7}}=>{{1,8},{2},{3},{4},{5,7},{6}}
[8,4,2,6,1,5,7,3]=>[4,2,6,8,1,7,5,3]=>{{1,4,8},{2},{3,6,7},{5}}=>{{1,5,8},{2,3,6},{4},{7}}
[6,1,5,2,3,4,7,8]=>[1,2,3,6,7,5,8,4]=>{{1},{2},{3},{4,6},{5,7,8}}=>{{1,2,4},{3,5},{6},{7},{8}}
[8,3,1,4,6,2,5,7]=>[3,4,6,1,2,8,7,5]=>{{1,3,6,8},{2,4},{5},{7}}=>{{1,3,6,8},{2},{4},{5,7}}
[8,2,7,1,5,4,6,3]=>[8,2,7,5,6,1,4,3]=>{{1,8},{2},{3,7},{4,5,6}}=>{{1,8},{2,6},{3,4,5},{7}}
[7,3,1,5,6,2,4,8]=>[3,5,7,1,2,8,6,4]=>{{1,3,7},{2,5},{4},{6,8}}=>{{1,3},{2,6,8},{4,7},{5}}
[3,7,5,1,6,2,4,8]=>[3,5,7,1,8,6,2,4]=>{{1,3,7},{2,5,8},{4},{6}}=>{{1,4,7},{2,6,8},{3},{5}}
[1,2,3,4,8,5,7,6]=>[8,1,7,2,3,4,5,6]=>{{1,8},{2},{3,7},{4},{5},{6}}=>{{1,8},{2,6},{3},{4},{5},{7}}
[8,3,7,6,1,4,5,2]=>[8,3,4,7,6,1,5,2]=>{{1,8},{2,3,4,7},{5,6}}=>{{1,8},{2,5,6,7},{3,4}}
[3,7,1,8,2,6,4,5]=>[1,7,3,6,2,8,4,5]=>{{1},{2,7},{3},{4,6,8},{5}}=>{{1,3,5},{2,7},{4},{6},{8}}
[7,3,8,5,1,6,4,2]=>[7,5,3,8,4,1,6,2]=>{{1,7},{2,5},{3},{4,8},{6}}=>{{1,5},{2,8},{3},{4,7},{6}}
[8,7,4,6,1,2,5,3]=>[8,1,4,7,2,6,5,3]=>{{1,8},{2},{3,4,7},{5},{6}}=>{{1,8},{2,5,6},{3},{4},{7}}
[7,5,1,2,3,4,8,6]=>[7,1,2,3,5,8,6,4]=>{{1,7},{2},{3},{4},{5},{6,8}}=>{{1,3},{2,8},{4},{5},{6},{7}}
[7,4,6,1,2,8,3,5]=>[1,4,2,7,8,3,6,5]=>{{1},{2,4,7},{3},{5,8},{6}}=>{{1,4},{2,5,7},{3},{6},{8}}
[4,1,2,5,3,8,7,6]=>[8,4,1,5,2,3,7,6]=>{{1,8},{2,4,5},{3},{6},{7}}=>{{1,8},{2},{3},{4,5,7},{6}}
[6,5,1,2,3,4,8,7]=>[6,1,2,3,5,8,7,4]=>{{1,6,8},{2},{3},{4},{5},{7}}=>{{1,3,8},{2},{4},{5},{6},{7}}
[6,7,4,1,2,5,3,8]=>[1,6,4,7,8,5,2,3]=>{{1},{2,6},{3,4,7},{5,8}}=>{{1,4},{2,5,6},{3,7},{8}}
[1,8,3,4,2,7,5,6]=>[1,3,2,8,4,7,5,6]=>{{1},{2,3},{4,8},{5},{6,7}}=>{{1,5},{2,3},{4},{6,7},{8}}
[8,3,7,4,1,6,5,2]=>[8,3,1,7,6,4,5,2]=>{{1,8},{2,3},{4,7},{5,6}}=>{{1,8},{2,5},{3,4},{6,7}}
[7,2,3,1,4,6,5,8]=>[2,3,1,4,7,6,8,5]=>{{1,2,3},{4},{5,7,8},{6}}=>{{1,2,4},{3},{5},{6,7,8}}
[6,7,1,4,2,5,3,8]=>[1,6,4,7,5,8,2,3]=>{{1},{2,6,8},{3,4,7},{5}}=>{{1,3,7},{2,5,6},{4},{8}}
[3,8,4,1,2,5,7,6]=>[3,1,4,5,8,7,2,6]=>{{1,3,4,5,8},{2},{6,7}}=>{{1,4,5,6,8},{2,3},{7}}
[6,7,5,2,1,8,4,3]=>[6,2,1,7,5,4,3,8]=>{{1,6},{2},{3},{4,7},{5},{8}}=>{{1},{2,5},{3,8},{4},{6},{7}}
[4,6,3,7,8,5,2,1]=>[4,3,2,1,6,7,5,8]=>{{1,4},{2,3},{5,6,7},{8}}=>{{1},{2,3,4},{5,8},{6,7}}
[7,3,4,8,6,2,1,5]=>[7,8,3,2,1,4,6,5]=>{{1,7},{2,8},{3},{4},{5},{6}}=>{{1,7},{2,8},{3},{4},{5},{6}}
[6,3,7,8,2,5,4,1]=>[6,3,2,7,1,5,8,4]=>{{1,6},{2,3},{4,7,8},{5}}=>{{1,2,5},{3,8},{4},{6,7}}
[1,3,7,8,5,2,6,4]=>[7,3,8,5,1,2,4,6]=>{{1,7},{2,3,8},{4,5},{6}}=>{{1,6,7},{2,8},{3},{4,5}}
[1,8,2,5,4,6,7,3]=>[8,1,2,5,4,6,3,7]=>{{1,8},{2},{3},{4,5},{6},{7}}=>{{1,8},{2},{3},{4,5},{6},{7}}
[4,6,5,3,7,1,8,2]=>[4,1,6,5,7,3,2,8]=>{{1,4,5,7},{2},{3,6},{8}}=>{{1},{2,4,5,8},{3,6},{7}}
[6,2,5,4,8,3,7,1]=>[6,5,8,2,4,3,7,1]=>{{1,6},{2,5},{3,8},{4},{7}}=>{{1,6},{2},{3,8},{4,7},{5}}
[1,5,3,6,8,2,7,4]=>[5,3,8,1,2,6,4,7]=>{{1,5},{2,3,8},{4},{6},{7}}=>{{1,6,7},{2},{3},{4,8},{5}}
[4,2,3,5,6,8,1,7]=>[4,8,2,3,5,6,7,1]=>{{1,4},{2,8},{3},{5},{6},{7}}=>{{1,7},{2},{3},{4},{5,8},{6}}
[5,2,6,4,7,8,3,1]=>[5,4,2,6,7,1,8,3]=>{{1,5,7,8},{2,4,6},{3}}=>{{1,2,4,8},{3,5,7},{6}}
[4,6,5,2,3,1,8,7]=>[4,2,6,5,8,3,1,7]=>{{1,4,5,8},{2},{3,6},{7}}=>{{1,4,5,8},{2},{3,6},{7}}
[6,4,2,5,3,1,8,7]=>[4,2,6,5,3,8,7,1]=>{{1,4,5},{2},{3,6,8},{7}}=>{{1,3,6},{2},{4,5,8},{7}}
[6,4,2,5,8,7,3,1]=>[6,4,2,1,5,8,7,3]=>{{1,6,8},{2,4},{3},{5},{7}}=>{{1,3,8},{2},{4},{5,7},{6}}
[4,6,5,2,3,8,7,1]=>[6,4,2,5,8,3,1,7]=>{{1,6},{2,4,5,8},{3},{7}}=>{{1,4,5,7},{2},{3,8},{6}}
[6,8,2,4,7,5,3,1]=>[8,6,4,2,3,7,1,5]=>{{1,8},{2,6,7},{3,4},{5}}=>{{1,8},{2,3,7},{4},{5,6}}
[2,6,4,5,8,7,3,1]=>[6,4,2,1,3,8,5,7]=>{{1,6,8},{2,4},{3},{5},{7}}=>{{1,3,8},{2},{4},{5,7},{6}}
[4,2,6,5,8,7,3,1]=>[6,4,2,1,5,3,8,7]=>{{1,6},{2,4},{3},{5},{7,8}}=>{{1,2},{3,8},{4},{5,7},{6}}
[6,2,4,5,8,7,3,1]=>[6,4,2,1,3,5,8,7]=>{{1,6},{2,4},{3},{5},{7,8}}=>{{1,2},{3,8},{4},{5,7},{6}}
[6,2,8,7,4,5,3,1]=>[8,6,2,4,3,1,7,5]=>{{1,8},{2,6},{3},{4},{5},{7}}=>{{1,8},{2},{3,7},{4},{5},{6}}
[6,7,3,2,5,8,4,1]=>[6,3,2,7,8,5,1,4]=>{{1,6},{2,3},{4,7},{5,8}}=>{{1,4},{2,5},{3,8},{6,7}}
[5,7,6,8,3,4,2,1]=>[7,5,3,6,2,4,1,8]=>{{1,7},{2,5},{3},{4,6},{8}}=>{{1},{2,8},{3,5},{4,7},{6}}
[3,7,5,1,8,4,6,2]=>[7,3,5,1,8,4,2,6]=>{{1,7},{2,3,5,8},{4},{6}}=>{{1,4,6,7},{2,8},{3},{5}}
[2,7,8,5,4,6,1,3]=>[7,8,2,5,4,1,3,6]=>{{1,7},{2,8},{3},{4,5},{6}}=>{{1,7},{2,8},{3},{4,5},{6}}
[5,7,4,3,8,6,2,1]=>[5,4,3,2,7,6,1,8]=>{{1,5,7},{2,4},{3},{6},{8}}=>{{1},{2,4,8},{3},{5,7},{6}}
[4,8,1,6,3,5,2,7]=>[1,8,4,6,3,7,2,5]=>{{1},{2,8},{3,4,6,7},{5}}=>{{1,7},{2,3,5,6},{4},{8}}
[3,6,1,8,4,7,2,5]=>[6,8,3,4,1,7,2,5]=>{{1,6,7},{2,8},{3},{4},{5}}=>{{1,7},{2,3,8},{4},{5},{6}}
[4,7,8,1,3,2,6,5]=>[4,3,7,6,8,1,2,5]=>{{1,4,6},{2,3,7},{5,8}}=>{{1,4},{2,6,7},{3,5,8}}
[4,7,8,3,1,2,6,5]=>[4,3,7,8,6,1,2,5]=>{{1,4,8},{2,3,7},{5,6}}=>{{1,5,8},{2,6,7},{3,4}}
[4,6,2,8,1,3,7,5]=>[4,2,6,8,1,7,3,5]=>{{1,4,8},{2},{3,6,7},{5}}=>{{1,5,8},{2,3,6},{4},{7}}
[3,2,5,4,8,7,1,6]=>[3,8,2,1,5,4,7,6]=>{{1,3},{2,8},{4},{5},{6},{7}}=>{{1,7},{2},{3},{4},{5},{6,8}}
[3,5,2,4,8,7,1,6]=>[3,8,2,1,5,7,4,6]=>{{1,3},{2,8},{4},{5},{6,7}}=>{{1,7},{2,3},{4},{5},{6,8}}
[2,5,6,8,7,3,4,1]=>[8,5,6,2,1,3,4,7]=>{{1,8},{2,5},{3,6},{4},{7}}=>{{1,8},{2},{3,6},{4,7},{5}}
[2,4,6,8,3,7,5,1]=>[8,4,2,6,1,3,5,7]=>{{1,8},{2,4,6},{3},{5},{7}}=>{{1,8},{2},{3,5,7},{4},{6}}
[3,4,5,2,8,7,1,6]=>[3,8,2,1,7,4,5,6]=>{{1,3},{2,8},{4},{5,7},{6}}=>{{1,7},{2,4},{3},{5},{6,8}}
[3,4,2,5,8,7,1,6]=>[3,8,2,1,4,7,5,6]=>{{1,3},{2,8},{4},{5},{6,7}}=>{{1,7},{2,3},{4},{5},{6,8}}
[3,2,4,5,8,7,1,6]=>[3,8,2,1,4,5,7,6]=>{{1,3},{2,8},{4},{5},{6},{7}}=>{{1,7},{2},{3},{4},{5},{6,8}}
[8,1,3,7,6,4,2,5]=>[1,8,7,6,3,4,5,2]=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1,7},{2,6},{3,5},{4},{8}}
[3,4,1,8,2,6,7,5]=>[8,3,4,6,1,7,2,5]=>{{1,8},{2,3,4,6,7},{5}}=>{{1,8},{2,3,5,6,7},{4}}
[3,8,2,1,6,4,5,7]=>[3,4,6,2,8,7,1,5]=>{{1,3,6,7},{2,4},{5,8}}=>{{1,4},{2,3,6,8},{5,7}}
[5,4,8,7,6,2,1,3]=>[5,8,7,4,2,1,6,3]=>{{1,5},{2,8},{3,7},{4},{6}}=>{{1,7},{2,6},{3},{4,8},{5}}
[3,8,1,5,7,4,6,2]=>[8,3,5,1,4,7,2,6]=>{{1,8},{2,3,5},{4},{6,7}}=>{{1,8},{2,3},{4,6,7},{5}}
[6,3,2,4,8,7,5,1]=>[6,3,2,1,4,8,7,5]=>{{1,6,8},{2,3},{4},{5},{7}}=>{{1,3,8},{2},{4},{5},{6,7}}
[5,6,1,2,8,7,4,3]=>[8,5,4,1,6,7,2,3]=>{{1,8},{2,5,6,7},{3,4}}=>{{1,8},{2,3,4,7},{5,6}}
[7,4,8,6,1,2,5,3]=>[7,1,6,8,4,2,5,3]=>{{1,7},{2},{3,6},{4,8},{5}}=>{{1,5},{2,8},{3,6},{4},{7}}
[1,3,8,4,5,7,2,6]=>[3,8,1,2,7,4,5,6]=>{{1,3},{2,8},{4},{5,7},{6}}=>{{1,7},{2,4},{3},{5},{6,8}}
[3,4,2,6,8,7,1,5]=>[3,8,2,1,4,6,5,7]=>{{1,3},{2,8},{4},{5},{6},{7}}=>{{1,7},{2},{3},{4},{5},{6,8}}
[6,8,3,2,7,1,5,4]=>[6,3,8,2,7,5,1,4]=>{{1,6},{2,3,8},{4},{5,7}}=>{{1,6,7},{2,4},{3,8},{5}}
[7,4,2,5,8,1,6,3]=>[7,4,8,2,5,6,3,1]=>{{1,7},{2,4},{3,8},{5},{6}}=>{{1,6},{2,8},{3},{4},{5,7}}
[3,1,6,5,2,7,4,8]=>[3,6,1,7,5,2,8,4]=>{{1,3},{2,6},{4,7,8},{5}}=>{{1,2,5},{3,7},{4},{6,8}}
[4,2,1,7,5,6,8,3]=>[4,2,5,7,1,8,6,3]=>{{1,4,7},{2},{3,5},{6,8}}=>{{1,3},{2,5,8},{4,6},{7}}
[3,8,2,5,4,6,7,1]=>[8,3,5,6,2,7,1,4]=>{{1,8},{2,3,5},{4,6,7}}=>{{1,8},{2,3,5},{4,6,7}}
[4,7,5,6,1,3,8,2]=>[7,4,5,6,1,3,2,8]=>{{1,7},{2,4,6},{3,5},{8}}=>{{1},{2,8},{3,5,7},{4,6}}
[5,7,6,4,3,1,8,2]=>[5,1,7,6,4,3,2,8]=>{{1,5},{2},{3,7},{4,6},{8}}=>{{1},{2,6},{3,5},{4,8},{7}}
[6,7,1,3,8,4,2,5]=>[1,6,3,2,7,8,4,5]=>{{1},{2,6,8},{3},{4},{5,7}}=>{{1,3,7},{2,4},{5},{6},{8}}
[3,7,5,1,8,2,6,4]=>[7,3,5,1,8,6,2,4]=>{{1,7},{2,3,5,8},{4},{6}}=>{{1,4,6,7},{2,8},{3},{5}}
[5,6,8,4,7,3,2,1]=>[5,4,3,2,8,1,6,7]=>{{1,5,8},{2,4},{3},{6},{7}}=>{{1,4,8},{2},{3},{5,7},{6}}
[8,1,3,5,4,2,6,7]=>[1,3,8,5,4,6,7,2]=>{{1},{2,3,8},{4,5},{6},{7}}=>{{1,6,7},{2},{3},{4,5},{8}}
[7,2,1,4,5,3,6,8]=>[2,4,5,1,7,8,6,3]=>{{1,2,4},{3,5,7},{6,8}}=>{{1,3},{2,4,6},{5,7,8}}
[3,6,2,1,5,4,7,8]=>[3,6,7,2,8,5,1,4]=>{{1,3,7},{2,6},{4},{5,8}}=>{{1,4},{2,6,8},{3,7},{5}}
[6,2,4,1,5,3,7,8]=>[2,4,6,1,7,5,8,3]=>{{1,2,4},{3,6},{5,7,8}}=>{{1,2,4},{3,6},{5,7,8}}
[2,6,4,1,5,3,7,8]=>[2,4,6,1,7,5,3,8]=>{{1,2,4},{3,6},{5,7},{8}}=>{{1},{2,4},{3,6},{5,7,8}}
[6,5,2,1,3,7,4,8]=>[2,6,3,7,8,5,4,1]=>{{1,2,6},{3},{4,7},{5,8}}=>{{1,4},{2,5},{3,7,8},{6}}
[4,2,5,3,1,6,7,8]=>[4,5,6,7,2,1,8,3]=>{{1,4,7,8},{2,5},{3,6}}=>{{1,2,5,8},{3,6},{4,7}}
[8,2,7,5,4,1,3,6]=>[2,5,8,7,6,1,4,3]=>{{1,2,5,6},{3,8},{4,7}}=>{{1,6},{2,5},{3,4,7,8}}
[2,6,8,7,1,5,3,4]=>[2,8,6,7,5,1,3,4]=>{{1,2,8},{3,6},{4,7},{5}}=>{{1,7,8},{2,5},{3,6},{4}}
[5,8,6,4,1,2,7,3]=>[5,1,6,8,7,4,2,3]=>{{1,5,7},{2},{3,6},{4,8}}=>{{1,5},{2,4,8},{3,6},{7}}
[8,1,7,2,5,6,3,4]=>[5,8,1,2,7,3,6,4]=>{{1,5,7},{2,8},{3},{4},{6}}=>{{1,7},{2,4,8},{3},{5},{6}}
[6,8,7,2,5,1,3,4]=>[2,6,8,3,7,5,1,4]=>{{1,2,6},{3,8},{4},{5,7}}=>{{1,6},{2,4},{3,7,8},{5}}
[5,6,3,4,8,1,7,2]=>[5,3,6,1,4,8,2,7]=>{{1,5},{2,3,6,8},{4},{7}}=>{{1,3,6,7},{2},{4,8},{5}}
[8,7,1,3,5,6,2,4]=>[3,8,1,2,5,7,6,4]=>{{1,3},{2,8},{4},{5},{6,7}}=>{{1,7},{2,3},{4},{5},{6,8}}
[2,4,8,6,1,3,7,5]=>[2,1,4,8,6,3,5,7]=>{{1,2},{3,4,8},{5,6},{7}}=>{{1,5,6},{2},{3,4},{7,8}}
[4,1,7,6,3,8,2,5]=>[4,7,1,6,3,2,8,5]=>{{1,4,6},{2,7,8},{3},{5}}=>{{1,2,7},{3,5,8},{4},{6}}
[3,4,6,5,1,8,2,7]=>[3,6,1,8,4,2,5,7]=>{{1,3},{2,6},{4,8},{5},{7}}=>{{1,5},{2},{3,7},{4},{6,8}}
[7,8,6,1,3,5,2,4]=>[7,8,1,3,6,5,2,4]=>{{1,7},{2,8},{3},{4},{5,6}}=>{{1,7},{2,8},{3,4},{5},{6}}
[2,5,8,4,6,7,3,1]=>[5,4,2,3,8,1,6,7]=>{{1,5,8},{2,4},{3},{6},{7}}=>{{1,4,8},{2},{3},{5,7},{6}}
[2,4,8,1,6,7,3,5]=>[2,8,1,4,6,3,5,7]=>{{1,2,8},{3},{4},{5,6},{7}}=>{{1,7,8},{2},{3,4},{5},{6}}
[5,7,4,3,1,2,6,8]=>[1,5,7,8,4,3,2,6]=>{{1},{2,5},{3,7},{4,8},{6}}=>{{1,5},{2,6},{3},{4,7},{8}}
[6,1,4,3,8,2,7,5]=>[6,4,8,1,7,3,5,2]=>{{1,6},{2,4},{3,8},{5,7}}=>{{1,6},{2,4},{3,8},{5,7}}
[1,8,4,2,7,6,5,3]=>[8,7,4,1,6,5,2,3]=>{{1,8},{2,7},{3,4},{5,6}}=>{{1,8},{2,7},{3,4},{5,6}}
[5,4,7,1,3,2,6,8]=>[1,5,7,4,8,3,6,2]=>{{1},{2,5,8},{3,7},{4},{6}}=>{{1,4,7},{2,6},{3},{5},{8}}
[7,4,6,2,1,5,3,8]=>[4,7,2,8,6,1,5,3]=>{{1,4,8},{2,7},{3},{5,6}}=>{{1,5,8},{2,7},{3,4},{6}}
[1,2,6,3,8,5,7,4]=>[6,1,5,2,8,3,4,7]=>{{1,6},{2},{3,5,8},{4},{7}}=>{{1,4,6},{2},{3,8},{5},{7}}
[6,4,7,5,8,1,2,3]=>[6,7,8,1,4,2,5,3]=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}
[8,6,4,2,1,7,5,3]=>[6,4,2,8,7,5,3,1]=>{{1,6},{2,4,8},{3},{5,7}}=>{{1,5,7},{2,4},{3,8},{6}}
[7,4,8,1,6,3,5,2]=>[7,1,4,3,8,2,6,5]=>{{1,7},{2},{3,4},{5,8},{6}}=>{{1,4},{2,8},{3},{5,6},{7}}
[7,6,8,1,5,4,2,3]=>[1,7,6,5,8,2,4,3]=>{{1},{2,7},{3,6},{4,5,8}}=>{{1,4,5},{2,7},{3,6},{8}}
[1,5,2,8,4,6,3,7]=>[1,5,2,4,3,8,6,7]=>{{1},{2,5},{3},{4},{6,8},{7}}=>{{1,3},{2},{4,7},{5},{6},{8}}
[1,6,2,8,4,5,3,7]=>[1,6,2,4,3,8,5,7]=>{{1},{2,6,8},{3},{4},{5},{7}}=>{{1,3,7},{2},{4},{5},{6},{8}}
[6,1,3,7,4,8,2,5]=>[6,7,1,3,2,4,8,5]=>{{1,6},{2,7,8},{3},{4},{5}}=>{{1,2,7},{3,8},{4},{5},{6}}
[1,8,5,7,2,3,4,6]=>[1,2,5,8,3,7,4,6]=>{{1},{2},{3,5},{4,8},{6,7}}=>{{1,5},{2,3},{4,6},{7},{8}}
[6,1,5,7,8,2,3,4]=>[6,7,8,1,2,3,5,4]=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}
[1,5,8,7,2,3,4,6]=>[1,2,5,8,7,3,4,6]=>{{1},{2},{3,5,7},{4,8},{6}}=>{{1,5},{2,4,6},{3},{7},{8}}
[6,5,1,8,2,3,4,7]=>[1,2,3,6,5,8,7,4]=>{{1},{2},{3},{4,6,8},{5},{7}}=>{{1,3,5},{2},{4},{6},{7},{8}}
[4,1,8,7,2,3,5,6]=>[1,2,4,8,5,3,7,6]=>{{1},{2},{3,4,8},{5},{6},{7}}=>{{1,5,6},{2},{3},{4},{7},{8}}
[7,1,5,8,3,4,2,6]=>[1,7,5,8,3,4,6,2]=>{{1},{2,7},{3,5},{4,8},{6}}=>{{1,5},{2,7},{3},{4,6},{8}}
[3,4,7,2,6,8,5,1]=>[7,3,2,4,6,1,5,8]=>{{1,7},{2,3},{4},{5,6},{8}}=>{{1},{2,8},{3,4},{5},{6,7}}
[5,8,1,6,3,4,2,7]=>[1,8,5,6,3,7,2,4]=>{{1},{2,8},{3,5},{4,6,7}}=>{{1,7},{2,3,5},{4,6},{8}}
[5,3,7,8,4,1,2,6]=>[5,7,8,3,1,4,6,2]=>{{1,5},{2,7},{3,8},{4},{6}}=>{{1,6},{2,7},{3},{4,8},{5}}
[5,3,2,8,6,4,1,7]=>[5,6,3,2,1,8,7,4]=>{{1,5},{2,6,8},{3},{4},{7}}=>{{1,3,7},{2},{4,8},{5},{6}}
[6,5,8,3,4,2,7,1]=>[6,3,5,4,8,2,7,1]=>{{1,6},{2,3,5,8},{4},{7}}=>{{1,4,6,7},{2},{3,8},{5}}
[7,4,8,3,5,2,6,1]=>[7,4,5,3,8,2,6,1]=>{{1,7},{2,4},{3,5,8},{6}}=>{{1,4,6},{2,8},{3},{5,7}}
[3,2,1,8,5,4,6,7]=>[3,5,6,2,1,8,7,4]=>{{1,3,6,8},{2,5},{4},{7}}=>{{1,3,6,8},{2},{4,7},{5}}
[3,2,1,8,5,7,4,6]=>[3,5,2,4,1,8,7,6]=>{{1,3},{2,5},{4},{6,8},{7}}=>{{1,3},{2},{4,7},{5},{6,8}}
[4,2,1,6,8,7,5,3]=>[8,4,2,1,6,7,5,3]=>{{1,8},{2,4},{3},{5,6,7}}=>{{1,8},{2,3,4},{5,7},{6}}
[5,2,6,1,8,7,3,4]=>[5,6,2,1,8,3,7,4]=>{{1,5,8},{2,6},{3},{4},{7}}=>{{1,4,8},{2},{3,7},{5},{6}}
[4,2,1,6,8,3,7,5]=>[4,2,6,1,3,8,7,5]=>{{1,4},{2},{3,6,8},{5},{7}}=>{{1,3,6},{2},{4},{5,8},{7}}
[3,2,1,8,4,5,7,6]=>[3,2,4,5,1,8,7,6]=>{{1,3,4,5},{2},{6,8},{7}}=>{{1,3},{2},{4,5,6,8},{7}}
[7,3,8,5,2,4,6,1]=>[7,3,5,8,2,1,6,4]=>{{1,7},{2,3,5},{4,8},{6}}=>{{1,5},{2,8},{3},{4,6,7}}
[6,4,8,2,7,5,1,3]=>[6,8,4,2,7,1,5,3]=>{{1,6},{2,8},{3,4},{5,7}}=>{{1,7},{2,4},{3,8},{5,6}}
[5,6,3,7,8,2,4,1]=>[5,3,6,2,4,7,1,8]=>{{1,5},{2,3,6,7},{4},{8}}=>{{1},{2,3,6,7},{4,8},{5}}
[6,3,7,2,4,5,1,8]=>[3,6,4,7,8,2,5,1]=>{{1,3,4,7},{2,6},{5,8}}=>{{1,4},{2,5,6,8},{3,7}}
[6,3,7,2,5,8,4,1]=>[6,3,2,7,8,1,5,4]=>{{1,6},{2,3},{4,7},{5,8}}=>{{1,4},{2,5},{3,8},{6,7}}
[3,7,8,5,6,4,2,1]=>[7,5,3,2,8,1,4,6]=>{{1,7},{2,5,8},{3},{4},{6}}=>{{1,4,7},{2,8},{3},{5},{6}}
[7,6,2,4,1,8,5,3]=>[7,2,1,8,4,6,5,3]=>{{1,7},{2},{3},{4,8},{5},{6}}=>{{1,5},{2,8},{3},{4},{6},{7}}
[6,1,8,2,4,5,7,3]=>[6,1,2,4,5,3,8,7]=>{{1,6},{2},{3},{4},{5},{7,8}}=>{{1,2},{3,8},{4},{5},{6},{7}}
[3,2,8,7,1,5,6,4]=>[8,3,5,7,2,1,6,4]=>{{1,8},{2,3,5},{4,7},{6}}=>{{1,8},{2,5},{3},{4,6,7}}
[7,8,6,1,3,4,5,2]=>[7,1,3,6,8,4,2,5]=>{{1,7},{2},{3},{4,6},{5,8}}=>{{1,4},{2,8},{3,5},{6},{7}}
[6,5,8,2,3,1,7,4]=>[6,2,8,5,7,3,4,1]=>{{1,6},{2},{3,8},{4,5,7}}=>{{1,6},{2,4,5},{3,8},{7}}
[1,6,8,3,2,5,7,4]=>[6,1,3,8,5,2,4,7]=>{{1,6},{2},{3},{4,8},{5},{7}}=>{{1,5},{2},{3,8},{4},{6},{7}}
[1,5,3,8,2,6,7,4]=>[5,1,3,8,2,6,4,7]=>{{1,5},{2},{3},{4,8},{6},{7}}=>{{1,5},{2},{3},{4,8},{6},{7}}
[8,4,2,7,1,5,6,3]=>[4,2,5,8,1,7,6,3]=>{{1,4,8},{2},{3,5},{6,7}}=>{{1,5,8},{2,3},{4,6},{7}}
[5,8,1,3,2,6,7,4]=>[5,1,3,8,6,7,2,4]=>{{1,5,6,7},{2},{3},{4,8}}=>{{1,5},{2,3,4,8},{6},{7}}
[3,2,7,4,8,1,6,5]=>[3,2,7,1,6,4,8,5]=>{{1,3,7,8},{2},{4},{5,6}}=>{{1,2,6,8},{3,4},{5},{7}}
[4,7,1,5,8,2,3,6]=>[1,4,7,2,5,8,3,6]=>{{1},{2,4},{3,7},{5},{6,8}}=>{{1,3},{2,6},{4},{5,7},{8}}
[2,6,7,3,8,4,1,5]=>[6,7,2,1,8,3,4,5]=>{{1,6},{2,7},{3},{4},{5,8}}=>{{1,4},{2,7},{3,8},{5},{6}}
[1,2,6,4,8,5,7,3]=>[6,1,4,2,8,3,5,7]=>{{1,6},{2},{3,4},{5,8},{7}}=>{{1,4},{2},{3,8},{5,6},{7}}
[5,1,6,3,8,7,2,4]=>[5,8,3,1,6,2,7,4]=>{{1,5,6},{2,8},{3},{4},{7}}=>{{1,7},{2},{3,4,8},{5},{6}}
[1,2,6,4,7,8,5,3]=>[6,4,1,2,7,3,5,8]=>{{1,6},{2,4},{3},{5,7},{8}}=>{{1},{2,4},{3,8},{5,7},{6}}
[7,5,1,8,4,3,2,6]=>[1,7,5,4,3,8,6,2]=>{{1},{2,7},{3,5},{4},{6,8}}=>{{1,3},{2,7},{4,6},{5},{8}}
[4,1,6,8,3,7,2,5]=>[4,8,3,6,1,2,7,5]=>{{1,4,6},{2,8},{3},{5},{7}}=>{{1,7},{2},{3,5,8},{4},{6}}
[1,3,5,7,4,2,6,8]=>[1,5,7,3,2,4,6,8]=>{{1},{2,5},{3,7},{4},{6},{8}}=>{{1},{2,6},{3},{4,7},{5},{8}}
[1,3,5,7,8,2,6,4]=>[7,3,5,1,2,4,6,8]=>{{1,7},{2,3,5},{4},{6},{8}}=>{{1},{2,8},{3},{4,6,7},{5}}
[1,4,7,2,3,8,6,5]=>[7,4,1,6,8,2,3,5]=>{{1,7},{2,4,6},{3},{5,8}}=>{{1,4},{2,8},{3,5,7},{6}}
[3,5,2,7,8,4,1,6]=>[3,5,2,1,4,7,6,8]=>{{1,3},{2,5},{4},{6,7},{8}}=>{{1},{2,3},{4,7},{5},{6,8}}
[1,5,7,2,4,8,6,3]=>[5,4,1,7,8,2,3,6]=>{{1,5,8},{2,4,7},{3},{6}}=>{{1,4,8},{2,5,7},{3},{6}}
[5,3,7,8,2,4,1,6]=>[5,7,3,8,2,4,6,1]=>{{1,5},{2,7},{3},{4,8},{6}}=>{{1,5},{2,7},{3},{4,8},{6}}
[7,2,4,8,3,1,5,6]=>[2,7,8,4,3,5,6,1]=>{{1,2,7},{3,8},{4},{5},{6}}=>{{1,6},{2,7,8},{3},{4},{5}}
[5,3,8,7,2,4,1,6]=>[3,5,4,8,2,1,7,6]=>{{1,3,4,8},{2,5},{6},{7}}=>{{1,5,6,8},{2},{3},{4,7}}
[3,1,7,4,2,8,6,5]=>[7,3,1,8,4,2,6,5]=>{{1,7},{2,3},{4,8},{5},{6}}=>{{1,5},{2,8},{3},{4},{6,7}}
[2,3,7,8,4,1,6,5]=>[7,2,8,6,1,3,4,5]=>{{1,7},{2},{3,8},{4,6},{5}}=>{{1,6},{2,8},{3,5},{4},{7}}
[4,6,1,5,3,8,7,2]=>[6,4,1,5,3,8,2,7]=>{{1,6,8},{2,4,5},{3},{7}}=>{{1,3,8},{2},{4,5,7},{6}}
[4,1,6,5,8,3,7,2]=>[6,4,5,1,3,2,8,7]=>{{1,6},{2,4},{3,5},{7,8}}=>{{1,2},{3,8},{4,6},{5,7}}
[4,6,8,1,5,7,3,2]=>[6,4,3,5,8,1,2,7]=>{{1,6},{2,4,5,8},{3},{7}}=>{{1,4,5,7},{2},{3,8},{6}}
[4,1,6,8,5,7,3,2]=>[6,4,3,5,1,2,8,7]=>{{1,6},{2,4,5},{3},{7,8}}=>{{1,2},{3,8},{4,5,7},{6}}
[2,6,8,5,3,1,7,4]=>[6,5,8,7,2,1,3,4]=>{{1,6},{2,5},{3,8},{4,7}}=>{{1,6},{2,5},{3,8},{4,7}}
[1,6,4,8,7,3,5,2]=>[6,4,8,3,1,7,2,5]=>{{1,6,7},{2,4},{3,8},{5}}=>{{1,6},{2,3,8},{4},{5,7}}
[7,4,1,8,3,5,2,6]=>[1,7,4,5,3,8,6,2]=>{{1},{2,7},{3,4,5},{6,8}}=>{{1,3},{2,7},{4,5,6},{8}}
[2,4,7,8,1,5,3,6]=>[2,7,4,8,1,3,5,6]=>{{1,2,7},{3,4,8},{5},{6}}=>{{1,5,6},{2,7,8},{3},{4}}
[1,7,2,3,4,6,8,5]=>[7,1,2,3,4,6,5,8]=>{{1,7},{2},{3},{4},{5},{6},{8}}=>{{1},{2,8},{3},{4},{5},{6},{7}}
[1,6,2,3,4,8,7,5]=>[8,6,1,2,3,7,4,5]=>{{1,8},{2,6,7},{3},{4},{5}}=>{{1,8},{2,3,7},{4},{5},{6}}
[8,1,7,3,5,4,2,6]=>[1,8,7,3,5,4,6,2]=>{{1},{2,8},{3,7},{4},{5},{6}}=>{{1,7},{2,6},{3},{4},{5},{8}}
[6,3,4,8,7,5,1,2]=>[6,8,7,3,1,4,5,2]=>{{1,6},{2,8},{3,7},{4},{5}}=>{{1,7},{2,6},{3,8},{4},{5}}
[2,8,7,6,4,1,3,5]=>[2,4,8,7,6,5,1,3]=>{{1,2,4,7},{3,8},{5,6}}=>{{1,6},{2,5,7,8},{3,4}}
[7,8,2,6,5,3,1,4]=>[2,7,6,5,3,8,1,4]=>{{1,2,7},{3,6,8},{4,5}}=>{{1,3,6},{2,7,8},{4,5}}
[3,8,7,6,4,1,2,5]=>[3,4,8,7,6,5,1,2]=>{{1,3,8},{2,4,7},{5,6}}=>{{1,6,8},{2,5,7},{3,4}}
[2,4,1,5,8,6,3,7]=>[2,8,4,1,5,6,3,7]=>{{1,2,8},{3,4},{5},{6},{7}}=>{{1,7,8},{2},{3},{4},{5,6}}
[7,1,4,2,3,6,8,5]=>[4,1,2,3,7,6,8,5]=>{{1,4},{2},{3},{5,7,8},{6}}=>{{1,2,4},{3},{5,8},{6},{7}}
[2,7,8,4,6,3,1,5]=>[7,8,4,2,6,1,3,5]=>{{1,7},{2,8},{3,4},{5,6}}=>{{1,7},{2,8},{3,4},{5,6}}
[1,5,8,7,3,2,6,4]=>[5,3,8,7,6,1,2,4]=>{{1,5,6},{2,3,8},{4,7}}=>{{1,6,7},{2,5},{3,4,8}}
[4,5,8,7,3,2,1,6]=>[4,8,7,3,2,1,5,6]=>{{1,4},{2,8},{3,7},{5},{6}}=>{{1,7},{2,6},{3},{4},{5,8}}
[2,5,8,3,7,6,1,4]=>[5,8,7,2,6,1,3,4]=>{{1,5,6},{2,8},{3,7},{4}}=>{{1,7},{2,6},{3,4,8},{5}}
[2,4,5,8,3,7,1,6]=>[4,8,2,7,1,3,5,6]=>{{1,4,7},{2,8},{3},{5},{6}}=>{{1,7},{2,5,8},{3},{4},{6}}
[1,4,5,8,3,2,7,6]=>[4,3,8,7,1,2,5,6]=>{{1,4,7},{2,3,8},{5},{6}}=>{{1,6,7},{2,5,8},{3},{4}}
[7,2,3,4,8,6,1,5]=>[7,8,2,1,3,4,6,5]=>{{1,7},{2,8},{3},{4},{5},{6}}=>{{1,7},{2,8},{3},{4},{5},{6}}
[2,6,5,1,8,7,4,3]=>[6,5,2,1,8,4,3,7]=>{{1,6},{2,5,8},{3},{4},{7}}=>{{1,4,7},{2},{3,8},{5},{6}}
[2,3,5,4,8,7,1,6]=>[5,8,2,1,7,3,4,6]=>{{1,5,7},{2,8},{3},{4},{6}}=>{{1,7},{2,4,8},{3},{5},{6}}
[1,6,3,4,8,2,7,5]=>[6,3,8,1,2,7,4,5]=>{{1,6,7},{2,3,8},{4},{5}}=>{{1,6,7},{2,3,8},{4},{5}}
[7,1,5,4,2,8,6,3]=>[7,5,1,8,6,2,4,3]=>{{1,7},{2,5,6},{3},{4,8}}=>{{1,5},{2,8},{3,4,7},{6}}
[7,1,5,2,3,8,6,4]=>[7,5,1,2,8,3,6,4]=>{{1,7},{2,5,8},{3},{4},{6}}=>{{1,4,7},{2,8},{3},{5},{6}}
[7,1,5,4,3,2,8,6]=>[7,1,8,5,4,3,6,2]=>{{1,7},{2},{3,8},{4,5},{6}}=>{{1,6},{2,8},{3},{4,5},{7}}
[6,7,3,2,8,1,4,5]=>[6,7,8,3,4,2,1,5]=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}
[7,3,4,2,6,1,8,5]=>[3,2,7,4,6,5,8,1]=>{{1,3,7,8},{2},{4},{5,6}}=>{{1,2,6,8},{3,4},{5},{7}}
[4,6,1,2,8,5,3,7]=>[1,6,4,2,5,8,3,7]=>{{1},{2,6,8},{3,4},{5},{7}}=>{{1,3,7},{2},{4},{5,6},{8}}
[8,5,3,4,1,6,7,2]=>[3,1,5,8,6,7,4,2]=>{{1,3,5,6,7},{2},{4,8}}=>{{1,5},{2,3,4,6,8},{7}}
[6,7,3,2,5,1,4,8]=>[6,7,8,3,5,2,1,4]=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}
[7,3,8,6,5,4,2,1]=>[7,6,5,3,2,1,8,4]=>{{1,7,8},{2,6},{3,5},{4}}=>{{1,2,8},{3,7},{4,6},{5}}
[8,6,1,5,3,2,4,7]=>[1,3,8,6,5,7,4,2]=>{{1},{2,3,8},{4,6,7},{5}}=>{{1,6,7},{2,3,5},{4},{8}}
[8,5,2,6,1,4,3,7]=>[5,6,2,8,1,7,4,3]=>{{1,5},{2,6,7},{3},{4,8}}=>{{1,5},{2,3,7},{4,8},{6}}
[8,1,5,7,3,2,6,4]=>[5,3,8,7,1,2,6,4]=>{{1,5},{2,3,8},{4,7},{6}}=>{{1,6,7},{2,5},{3},{4,8}}
[8,2,6,1,5,7,3,4]=>[2,8,1,6,7,3,5,4]=>{{1,2,8},{3},{4,6},{5,7}}=>{{1,7,8},{2,4},{3,5},{6}}
[6,7,2,5,1,8,3,4]=>[6,7,2,8,3,5,1,4]=>{{1,6},{2,7},{3},{4,8},{5}}=>{{1,5},{2,7},{3,8},{4},{6}}
[7,5,1,6,8,2,3,4]=>[1,5,7,2,3,8,6,4]=>{{1},{2,5},{3,7},{4},{6,8}}=>{{1,3},{2,6},{4,7},{5},{8}}
[7,8,4,1,3,2,5,6]=>[1,4,7,5,8,3,2,6]=>{{1},{2,4,5,8},{3,7},{6}}=>{{1,4,5,7},{2,6},{3},{8}}
[8,4,5,1,7,2,3,6]=>[1,4,5,2,8,3,7,6]=>{{1},{2,4},{3,5,8},{6},{7}}=>{{1,4,6},{2},{3},{5,7},{8}}
[8,7,5,2,3,1,6,4]=>[5,2,8,3,7,6,4,1]=>{{1,5,7},{2},{3,8},{4},{6}}=>{{1,6},{2,4,8},{3},{5},{7}}
[2,4,5,3,6,8,1,7]=>[4,8,2,3,5,1,6,7]=>{{1,4},{2,8},{3},{5},{6},{7}}=>{{1,7},{2},{3},{4},{5,8},{6}}
[4,6,3,5,1,7,8,2]=>[4,3,6,7,5,8,1,2]=>{{1,4,7},{2,3,6,8},{5}}=>{{1,3,6,7},{2,5,8},{4}}
[4,6,3,5,7,2,8,1]=>[4,3,6,2,7,8,1,5]=>{{1,4},{2,3,6,8},{5,7}}=>{{1,3,6,7},{2,4},{5,8}}
[3,1,5,6,7,4,8,2]=>[5,3,4,1,6,7,8,2]=>{{1,5,6,7,8},{2,3,4}}=>{{1,2,3,4,8},{5,6,7}}
[5,1,6,7,3,4,8,2]=>[5,3,6,7,1,2,8,4]=>{{1,5},{2,3,6},{4,7,8}}=>{{1,2,5},{3,6,7},{4,8}}
[3,5,2,6,7,4,8,1]=>[3,2,5,1,6,7,4,8]=>{{1,3,5,6,7},{2},{4},{8}}=>{{1},{2,3,4,6,8},{5},{7}}
[4,2,6,7,3,5,8,1]=>[4,2,6,7,1,3,8,5]=>{{1,4,7,8},{2},{3,6},{5}}=>{{1,2,5,8},{3,6},{4},{7}}
[3,5,7,2,8,1,4,6]=>[3,5,7,2,4,1,6,8]=>{{1,3,7},{2,5},{4},{6},{8}}=>{{1},{2,6,8},{3},{4,7},{5}}
[5,6,2,4,7,3,8,1]=>[5,4,6,2,7,8,1,3]=>{{1,5,7},{2,4},{3,6,8}}=>{{1,3,6},{2,4,8},{5,7}}
[5,4,6,3,1,7,8,2]=>[5,1,6,7,4,3,8,2]=>{{1,5},{2},{3,6},{4,7,8}}=>{{1,2,5},{3,6},{4,8},{7}}
[5,6,3,7,4,1,8,2]=>[5,3,6,4,1,7,2,8]=>{{1,5},{2,3,6,7},{4},{8}}=>{{1},{2,3,6,7},{4,8},{5}}
[6,7,3,4,1,5,8,2]=>[6,3,4,7,5,8,1,2]=>{{1,6,8},{2,3,4,7},{5}}=>{{1,3,8},{2,5,6,7},{4}}
[6,7,3,2,5,1,8,4]=>[6,3,7,5,8,2,1,4]=>{{1,6},{2,3,7},{4,5,8}}=>{{1,4,5},{2,6,7},{3,8}}
[6,5,7,2,1,4,8,3]=>[6,2,7,8,5,1,4,3]=>{{1,6},{2},{3,7},{4,8},{5}}=>{{1,5},{2,6},{3,8},{4},{7}}
[7,3,5,8,6,1,4,2]=>[7,5,8,3,1,4,6,2]=>{{1,7},{2,5},{3,8},{4},{6}}=>{{1,6},{2,8},{3},{4,7},{5}}
[7,1,5,8,6,3,4,2]=>[7,5,8,3,1,2,6,4]=>{{1,7},{2,5},{3,8},{4},{6}}=>{{1,6},{2,8},{3},{4,7},{5}}
[3,7,5,8,1,6,4,2]=>[7,5,3,8,1,4,2,6]=>{{1,7},{2,5},{3},{4,8},{6}}=>{{1,5},{2,8},{3},{4,7},{6}}
[1,7,5,8,3,6,4,2]=>[7,5,3,8,1,6,2,4]=>{{1,7},{2,5},{3},{4,8},{6}}=>{{1,5},{2,8},{3},{4,7},{6}}
[1,7,8,5,3,6,4,2]=>[7,5,3,8,6,1,2,4]=>{{1,7},{2,5,6},{3},{4,8}}=>{{1,5},{2,8},{3,4,7},{6}}
[1,7,8,3,5,6,4,2]=>[7,5,1,3,8,2,4,6]=>{{1,7},{2,5,8},{3},{4},{6}}=>{{1,4,7},{2,8},{3},{5},{6}}
[5,7,1,8,3,6,4,2]=>[7,5,3,6,1,8,2,4]=>{{1,7},{2,5},{3},{4,6,8}}=>{{1,3,5},{2,8},{4,7},{6}}
[7,5,8,1,6,3,4,2]=>[7,1,5,3,8,2,6,4]=>{{1,7},{2},{3,5,8},{4},{6}}=>{{1,4,6},{2,8},{3},{5},{7}}
[7,5,8,1,3,6,4,2]=>[7,5,1,3,8,2,6,4]=>{{1,7},{2,5,8},{3},{4},{6}}=>{{1,4,7},{2,8},{3},{5},{6}}
[3,7,5,1,2,8,6,4]=>[7,3,1,5,8,6,2,4]=>{{1,7},{2,3},{4,5,8},{6}}=>{{1,4,5},{2,8},{3},{6,7}}
[2,5,7,3,8,4,1,6]=>[5,7,2,1,8,3,4,6]=>{{1,5,8},{2,7},{3},{4},{6}}=>{{1,4,8},{2,7},{3},{5},{6}}
[3,5,6,2,4,1,8,7]=>[3,2,5,4,8,1,6,7]=>{{1,3,5,8},{2},{4},{6},{7}}=>{{1,4,6,8},{2},{3},{5},{7}}
[2,5,3,4,8,1,7,6]=>[5,2,8,1,3,7,4,6]=>{{1,5},{2},{3,8},{4},{6,7}}=>{{1,6},{2,3},{4,8},{5},{7}}
[3,7,8,1,5,4,6,2]=>[7,3,5,4,8,1,2,6]=>{{1,7},{2,3,5,8},{4},{6}}=>{{1,4,6,7},{2,8},{3},{5}}
[5,8,7,1,4,6,2,3]=>[5,8,1,4,7,6,2,3]=>{{1,5,7},{2,8},{3},{4},{6}}=>{{1,7},{2,4,8},{3},{5},{6}}
[3,2,4,5,8,1,7,6]=>[3,2,8,1,4,5,7,6]=>{{1,3,8},{2},{4},{5},{6},{7}}=>{{1,6,8},{2},{3},{4},{5},{7}}
[6,4,7,5,2,3,8,1]=>[6,4,7,8,2,1,5,3]=>{{1,6},{2,4,8},{3,7},{5}}=>{{1,5,7},{2,6},{3,8},{4}}
[4,2,3,1,8,7,5,6]=>[2,4,3,1,8,5,7,6]=>{{1,2,4},{3},{5,8},{6},{7}}=>{{1,4},{2},{3},{5,7,8},{6}}
[7,6,8,1,3,5,2,4]=>[7,8,1,3,6,2,5,4]=>{{1,7},{2,8},{3},{4},{5,6}}=>{{1,7},{2,8},{3,4},{5},{6}}
[6,8,3,4,2,1,7,5]=>[6,3,8,4,2,7,1,5]=>{{1,6,7},{2,3,8},{4},{5}}=>{{1,6,7},{2,3,8},{4},{5}}
[2,6,4,8,7,5,1,3]=>[6,8,7,2,1,4,3,5]=>{{1,6},{2,8},{3,7},{4},{5}}=>{{1,7},{2,6},{3,8},{4},{5}}
[6,3,7,2,8,5,1,4]=>[6,7,3,2,5,4,8,1]=>{{1,6},{2,7,8},{3},{4},{5}}=>{{1,2,7},{3,8},{4},{5},{6}}
[4,2,7,3,8,1,6,5]=>[4,2,7,1,6,3,8,5]=>{{1,4},{2},{3,7,8},{5,6}}=>{{1,2,6},{3,4},{5,8},{7}}
[1,5,8,3,2,7,6,4]=>[8,5,3,7,6,1,2,4]=>{{1,8},{2,5,6},{3},{4,7}}=>{{1,8},{2,5},{3,4,7},{6}}
[1,3,8,2,4,7,6,5]=>[8,7,1,3,6,2,4,5]=>{{1,8},{2,7},{3},{4},{5,6}}=>{{1,8},{2,7},{3,4},{5},{6}}
[5,2,8,1,3,7,6,4]=>[8,5,2,3,7,1,6,4]=>{{1,8},{2,5,7},{3},{4},{6}}=>{{1,8},{2,4,7},{3},{5},{6}}
[7,5,2,6,4,1,3,8]=>[5,7,8,2,1,6,4,3]=>{{1,5},{2,7},{3,8},{4},{6}}=>{{1,6},{2,7},{3},{4,8},{5}}
[2,7,6,4,5,1,3,8]=>[2,4,7,1,6,5,3,8]=>{{1,2,4},{3,7},{5,6},{8}}=>{{1},{2,6},{3,4},{5,7,8}}
[5,7,2,6,4,1,3,8]=>[5,7,8,6,2,4,1,3]=>{{1,5},{2,7},{3,8},{4,6}}=>{{1,6},{2,7},{3,5},{4,8}}
[1,7,5,8,6,4,3,2]=>[7,5,4,3,1,8,2,6]=>{{1,7},{2,5},{3,4},{6,8}}=>{{1,3},{2,8},{4,7},{5,6}}
[8,2,1,7,6,4,3,5]=>[2,8,7,4,1,6,5,3]=>{{1,2,8},{3,7},{4},{5},{6}}=>{{1,7,8},{2,6},{3},{4},{5}}
[8,7,1,6,5,4,3,2]=>[8,7,6,5,1,4,3,2]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,8},{2,7},{3,6},{4,5}}
[8,1,2,3,4,5,9,6,7]=>[1,8,2,3,4,5,6,9,7]=>{{1},{2,8,9},{3},{4},{5},{6},{7}}=>{{1,2,8},{3},{4},{5},{6},{7},{9}}
[8,1,9,2,3,4,5,6,7]=>[1,2,3,4,5,8,6,9,7]=>{{1},{2},{3},{4},{5},{6,8,9},{7}}=>{{1,2,4},{3},{5},{6},{7},{8},{9}}
[3,5,8,7,2,6,4,1]=>[8,7,3,5,2,1,4,6]=>{{1,8},{2,7},{3},{4,5},{6}}=>{{1,8},{2,7},{3},{4,5},{6}}
[5,8,2,7,1,6,4,3]=>[8,7,5,6,2,4,1,3]=>{{1,8},{2,7},{3,5},{4,6}}=>{{1,8},{2,7},{3,5},{4,6}}
[2,1,6,4,5,8,3,7]=>[2,6,1,4,5,3,8,7]=>{{1,2,6},{3},{4},{5},{7,8}}=>{{1,2},{3,7,8},{4},{5},{6}}
[8,2,3,4,6,1,5,7]=>[2,3,8,1,4,6,7,5]=>{{1,2,3,8},{4},{5},{6},{7}}=>{{1,6,7,8},{2},{3},{4},{5}}
[7,2,3,4,6,1,8,5]=>[2,1,7,3,4,6,8,5]=>{{1,2},{3,7,8},{4},{5},{6}}=>{{1,2,6},{3},{4},{5},{7,8}}
[4,8,3,7,5,1,6,2]=>[4,3,8,7,5,6,1,2]=>{{1,4,7},{2,3,8},{5},{6}}=>{{1,6,7},{2,5,8},{3},{4}}
[6,8,3,1,5,7,4,2]=>[6,5,3,4,8,7,1,2]=>{{1,6,7},{2,5,8},{3},{4}}=>{{1,4,7},{2,3,8},{5},{6}}
[6,4,8,5,1,7,3,2]=>[6,4,3,8,5,1,7,2]=>{{1,6},{2,4,8},{3},{5},{7}}=>{{1,5,7},{2},{3,8},{4},{6}}
[3,5,8,7,1,2,6,4]=>[8,3,5,7,6,1,2,4]=>{{1,8},{2,3,5,6},{4,7}}=>{{1,8},{2,5},{3,4,6,7}}
[1,6,2,8,4,7,5,3]=>[8,6,1,4,2,7,3,5]=>{{1,8},{2,6,7},{3},{4},{5}}=>{{1,8},{2,3,7},{4},{5},{6}}
[1,3,8,5,7,2,6,4]=>[8,3,7,1,5,2,4,6]=>{{1,8},{2,3,7},{4},{5},{6}}=>{{1,8},{2,6,7},{3},{4},{5}}
[8,7,5,1,6,2,3,4]=>[1,2,5,3,8,7,6,4]=>{{1},{2},{3,5,8},{4},{6,7}}=>{{1,4,6},{2,3},{5},{7},{8}}
[4,2,8,6,7,1,5,3]=>[8,4,6,2,5,1,7,3]=>{{1,8},{2,4},{3,6},{5},{7}}=>{{1,8},{2},{3,6},{4},{5,7}}
[8,7,4,1,2,5,6,3]=>[4,1,2,5,8,7,6,3]=>{{1,4,5,8},{2},{3},{6,7}}=>{{1,4,5,8},{2,3},{6},{7}}
[1,8,7,3,6,2,4,5]=>[1,3,8,2,7,6,4,5]=>{{1},{2,3,8},{4},{5,7},{6}}=>{{1,6,7},{2,4},{3},{5},{8}}
[2,8,7,3,5,6,1,4]=>[2,8,1,3,7,5,4,6]=>{{1,2,8},{3},{4},{5,7},{6}}=>{{1,7,8},{2,4},{3},{5},{6}}
[8,3,7,2,5,6,1,4]=>[3,8,2,5,7,1,6,4]=>{{1,3},{2,8},{4,5,7},{6}}=>{{1,7},{2,4,5},{3},{6,8}}
[2,8,6,4,3,5,7,1]=>[8,2,4,6,5,3,1,7]=>{{1,8},{2},{3,4,6},{5},{7}}=>{{1,8},{2},{3,5,6},{4},{7}}
[3,1,7,5,8,4,2,6]=>[3,7,5,1,4,2,8,6]=>{{1,3,5},{2,7,8},{4},{6}}=>{{1,2,7},{3},{4,6,8},{5}}
[8,7,4,6,3,2,5,1]=>[8,4,7,6,3,5,2,1]=>{{1,8},{2,4,6},{3,7},{5}}=>{{1,8},{2,6},{3,5,7},{4}}
[4,7,8,1,3,6,2,5]=>[4,7,3,6,8,1,2,5]=>{{1,4,6},{2,7},{3},{5,8}}=>{{1,4},{2,7},{3,5,8},{6}}
[8,4,6,2,1,3,7,5]=>[4,2,6,8,7,3,5,1]=>{{1,4,8},{2},{3,6},{5,7}}=>{{1,5,8},{2,4},{3,6},{7}}
[5,4,8,7,3,1,2,6]=>[1,5,8,4,3,2,7,6]=>{{1},{2,5},{3,8},{4},{6},{7}}=>{{1,6},{2},{3},{4,7},{5},{8}}
[6,8,5,4,1,3,2,7]=>[1,6,5,8,4,3,2,7]=>{{1},{2,6},{3,5},{4,8},{7}}=>{{1,5},{2},{3,7},{4,6},{8}}
[7,4,2,6,1,5,3,8]=>[4,7,2,8,1,6,5,3]=>{{1,4,8},{2,7},{3},{5},{6}}=>{{1,5,8},{2,7},{3},{4},{6}}
[6,3,7,8,2,5,1,4]=>[6,7,3,5,2,4,8,1]=>{{1,6},{2,7,8},{3},{4,5}}=>{{1,2,7},{3,8},{4,5},{6}}
[5,3,7,2,8,6,4,1]=>[5,3,2,1,7,6,8,4]=>{{1,5,7,8},{2,3},{4},{6}}=>{{1,2,4,8},{3},{5},{6,7}}
[5,3,7,8,2,6,4,1]=>[5,3,2,7,1,6,8,4]=>{{1,5},{2,3},{4,7,8},{6}}=>{{1,2,5},{3},{4,8},{6,7}}
[4,7,5,8,6,3,2,1]=>[7,4,3,2,1,8,5,6]=>{{1,7},{2,4},{3},{5},{6,8}}=>{{1,3},{2,8},{4},{5,7},{6}}
[5,3,8,7,2,6,4,1]=>[8,5,3,7,2,1,6,4]=>{{1,8},{2,5},{3},{4,7},{6}}=>{{1,8},{2,5},{3},{4,7},{6}}
[5,7,6,4,8,2,1,3]=>[5,7,6,2,4,3,1,8]=>{{1,5},{2,7},{3,6},{4},{8}}=>{{1},{2,7},{3,6},{4,8},{5}}
[6,4,2,8,1,7,3,5]=>[2,6,4,8,3,7,5,1]=>{{1,2,6,7},{3,4,8},{5}}=>{{1,5,6},{2,3,7,8},{4}}
[5,6,3,8,7,2,4,1]=>[5,3,8,2,1,6,4,7]=>{{1,5},{2,3,8},{4},{6},{7}}=>{{1,6,7},{2},{3},{4,8},{5}}
[6,1,3,8,2,7,4,5]=>[1,6,3,8,2,4,7,5]=>{{1},{2,6},{3},{4,8},{5},{7}}=>{{1,5},{2},{3,7},{4},{6},{8}}
[4,5,1,8,2,3,7,6]=>[8,1,4,5,2,7,3,6]=>{{1,8},{2},{3,4,5},{6,7}}=>{{1,8},{2,3},{4,5,6},{7}}
[6,7,1,4,3,5,2,8]=>[1,6,4,7,3,8,2,5]=>{{1},{2,6,8},{3,4,7},{5}}=>{{1,3,7},{2,5,6},{4},{8}}
[7,8,2,3,1,5,4,6]=>[2,7,3,8,5,6,1,4]=>{{1,2,7},{3},{4,8},{5},{6}}=>{{1,5},{2,7,8},{3},{4},{6}}
[7,8,2,4,1,5,3,6]=>[2,7,4,8,5,6,1,3]=>{{1,2,7},{3,4,8},{5},{6}}=>{{1,5,6},{2,7,8},{3},{4}}
[5,6,1,4,2,7,3,8]=>[5,6,1,7,4,8,2,3]=>{{1,5},{2,6,8},{3},{4,7}}=>{{1,3,7},{2,5},{4,8},{6}}
[6,7,2,3,1,5,4,8]=>[2,6,3,7,5,8,1,4]=>{{1,2,6,8},{3},{4,7},{5}}=>{{1,3,7,8},{2,5},{4},{6}}
[1,5,2,6,4,7,3,8]=>[1,5,4,6,2,7,3,8]=>{{1},{2,5},{3,4,6,7},{8}}=>{{1},{2,3,5,6},{4,7},{8}}
[2,5,1,6,4,7,3,8]=>[2,5,4,6,1,7,3,8]=>{{1,2,5},{3,4,6,7},{8}}=>{{1},{2,3,5,6},{4,7,8}}
[5,6,2,4,3,7,1,8]=>[5,6,4,7,2,8,1,3]=>{{1,5},{2,6,8},{3,4,7}}=>{{1,3,7},{2,5,6},{4,8}}
[4,5,2,6,1,7,3,8]=>[4,5,2,6,3,7,1,8]=>{{1,4,6,7},{2,5},{3},{8}}=>{{1},{2,3,5,8},{4,7},{6}}
[5,6,3,4,1,7,2,8]=>[5,6,3,7,4,8,1,2]=>{{1,5},{2,6,8},{3},{4,7}}=>{{1,3,7},{2,5},{4,8},{6}}
[5,6,1,4,3,7,2,8]=>[5,6,4,7,3,8,1,2]=>{{1,5},{2,6,8},{3,4,7}}=>{{1,3,7},{2,5,6},{4,8}}
[6,7,4,5,1,3,2,8]=>[6,7,4,8,3,5,1,2]=>{{1,6},{2,7},{3,4,8},{5}}=>{{1,5,6},{2,7},{3,8},{4}}
[4,5,1,3,2,7,6,8]=>[4,5,1,7,3,8,2,6]=>{{1,4,7},{2,5},{3},{6,8}}=>{{1,3},{2,5,8},{4,7},{6}}
[4,5,2,3,1,7,6,8]=>[4,5,2,7,3,8,1,6]=>{{1,4,7},{2,5},{3},{6,8}}=>{{1,3},{2,5,8},{4,7},{6}}
[4,5,3,7,6,8,1,2]=>[4,7,3,5,1,6,2,8]=>{{1,4,5},{2,7},{3},{6},{8}}=>{{1},{2,7},{3},{4,5,8},{6}}
[4,6,2,3,1,7,5,8]=>[4,6,2,7,3,8,1,5]=>{{1,4,7},{2,6,8},{3},{5}}=>{{1,3,7},{2,5,8},{4},{6}}
[4,6,2,7,3,5,8,1]=>[4,2,6,7,1,8,3,5]=>{{1,4,7},{2},{3,6,8},{5}}=>{{1,3,6},{2,5,8},{4},{7}}
[2,4,7,1,3,8,6,5]=>[7,2,1,4,6,3,5,8]=>{{1,7},{2},{3},{4},{5,6},{8}}=>{{1},{2,8},{3,4},{5},{6},{7}}
[1,3,7,2,8,5,4,6]=>[3,7,5,1,8,2,4,6]=>{{1,3,5,8},{2,7},{4},{6}}=>{{1,4,6,8},{2,7},{3},{5}}
[4,6,2,7,1,8,3,5]=>[4,6,2,7,3,5,1,8]=>{{1,4,7},{2,6},{3},{5},{8}}=>{{1},{2,5,8},{3,7},{4},{6}}
[1,3,6,2,8,7,4,5]=>[3,8,6,1,7,2,4,5]=>{{1,3,6},{2,8},{4},{5,7}}=>{{1,7},{2,4},{3,6,8},{5}}
[4,6,3,2,1,7,5,8]=>[4,6,3,7,5,2,1,8]=>{{1,4,7},{2,6},{3},{5},{8}}=>{{1},{2,5,8},{3,7},{4},{6}}
[5,3,2,1,6,4,7,8]=>[5,6,7,3,8,4,2,1]=>{{1,5,8},{2,6},{3,7},{4}}=>{{1,4,8},{2,6},{3,7},{5}}
[5,3,1,6,2,7,4,8]=>[5,6,1,7,3,8,4,2]=>{{1,5},{2,6,8},{3},{4,7}}=>{{1,3,7},{2,5},{4,8},{6}}
[5,1,6,3,2,7,4,8]=>[5,6,1,7,3,2,8,4]=>{{1,5},{2,6},{3},{4,7,8}}=>{{1,2,5},{3,7},{4,8},{6}}
[5,3,6,4,2,1,7,8]=>[5,6,7,3,2,1,8,4]=>{{1,5},{2,6},{3,7,8},{4}}=>{{1,2,6},{3,7},{4,8},{5}}
[5,3,2,6,4,1,7,8]=>[5,6,7,3,2,8,4,1]=>{{1,5},{2,6,8},{3,7},{4}}=>{{1,3,7},{2,6},{4,8},{5}}
[5,2,1,6,3,7,4,8]=>[5,6,2,7,3,8,4,1]=>{{1,5},{2,6,8},{3},{4,7}}=>{{1,3,7},{2,5},{4,8},{6}}
[5,2,6,3,1,7,4,8]=>[5,6,2,7,3,1,8,4]=>{{1,5},{2,6},{3},{4,7,8}}=>{{1,2,5},{3,7},{4,8},{6}}
[3,6,2,1,7,4,5,8]=>[3,6,7,2,8,4,1,5]=>{{1,3,7},{2,6},{4},{5,8}}=>{{1,4},{2,6,8},{3,7},{5}}
[3,6,2,7,4,1,5,8]=>[3,6,7,2,1,8,4,5]=>{{1,3,7},{2,6,8},{4},{5}}=>{{1,3,7},{2,6,8},{4},{5}}
[5,2,1,6,4,3,7,8]=>[5,6,7,2,1,8,4,3]=>{{1,5},{2,6,8},{3,7},{4}}=>{{1,3,7},{2,6},{4,8},{5}}
[5,4,2,1,6,3,7,8]=>[5,6,7,2,8,4,3,1]=>{{1,5,8},{2,6},{3,7},{4}}=>{{1,4,8},{2,6},{3,7},{5}}
[5,4,1,6,2,7,3,8]=>[5,6,1,7,2,8,4,3]=>{{1,5},{2,6,8},{3},{4,7}}=>{{1,3,7},{2,5},{4,8},{6}}
[2,6,1,5,4,3,7,8]=>[2,6,7,5,4,8,1,3]=>{{1,2,6,8},{3,7},{4,5}}=>{{1,3,7,8},{2,6},{4,5}}
[5,4,3,1,6,2,7,8]=>[5,6,7,1,8,4,3,2]=>{{1,5,8},{2,6},{3,7},{4}}=>{{1,4,8},{2,6},{3,7},{5}}
[4,7,3,5,1,8,6,2]=>[4,3,1,7,5,8,2,6]=>{{1,4,7},{2,3},{5},{6,8}}=>{{1,3},{2,5,8},{4},{6,7}}
[2,5,8,7,4,6,1,3]=>[5,8,2,7,4,1,3,6]=>{{1,5},{2,8},{3},{4,7},{6}}=>{{1,7},{2,5},{3},{4,8},{6}}
[8,3,6,2,1,7,5,4]=>[3,2,1,8,6,5,7,4]=>{{1,3},{2},{4,8},{5,6},{7}}=>{{1,5},{2},{3,4},{6,8},{7}}
[8,6,3,2,7,5,1,4]=>[6,8,3,2,7,5,4,1]=>{{1,6},{2,8},{3},{4},{5,7}}=>{{1,7},{2,4},{3,8},{5},{6}}
[3,7,8,5,2,4,1,6]=>[3,7,5,8,2,1,4,6]=>{{1,3,5},{2,7},{4,8},{6}}=>{{1,5},{2,7},{3},{4,6,8}}
[6,7,2,5,8,4,3,1]=>[6,5,4,2,7,8,1,3]=>{{1,6,8},{2,5,7},{3,4}}=>{{1,3,8},{2,4,7},{5,6}}
[5,2,7,8,4,3,1,6]=>[5,7,4,2,1,3,8,6]=>{{1,5},{2,7,8},{3,4},{6}}=>{{1,2,7},{3},{4,8},{5,6}}
[5,7,2,8,4,6,3,1]=>[5,4,2,7,1,8,3,6]=>{{1,5},{2,4,7},{3},{6,8}}=>{{1,3},{2,5,7},{4,8},{6}}
[8,4,7,3,1,6,5,2]=>[8,4,3,7,6,1,5,2]=>{{1,8},{2,4,7},{3},{5,6}}=>{{1,8},{2,5,7},{3,4},{6}}
[6,7,1,8,3,4,2,5]=>[1,6,3,7,2,8,4,5]=>{{1},{2,6,8},{3},{4,7},{5}}=>{{1,3,7},{2,5},{4},{6},{8}}
[5,6,2,7,1,8,3,4]=>[5,6,2,7,3,4,1,8]=>{{1,5},{2,6},{3},{4,7},{8}}=>{{1},{2,5},{3,7},{4,8},{6}}
[6,7,3,5,1,4,2,8]=>[6,7,5,8,3,4,1,2]=>{{1,6},{2,7},{3,5},{4,8}}=>{{1,5},{2,7},{3,8},{4,6}}
[1,8,5,6,4,7,2,3]=>[5,8,1,6,2,4,3,7]=>{{1,5},{2,8},{3},{4,6},{7}}=>{{1,7},{2},{3,5},{4,8},{6}}
[3,5,4,6,2,8,1,7]=>[5,8,3,4,2,6,1,7]=>{{1,5},{2,8},{3},{4},{6},{7}}=>{{1,7},{2},{3},{4,8},{5},{6}}
[2,7,1,8,3,6,4,5]=>[2,7,3,6,1,8,4,5]=>{{1,2,7},{3},{4,6,8},{5}}=>{{1,3,5},{2,7,8},{4},{6}}
[4,5,7,8,2,6,3,1]=>[7,4,2,5,1,3,6,8]=>{{1,7},{2,4,5},{3},{6},{8}}=>{{1},{2,8},{3},{4,5,7},{6}}
[4,5,6,8,2,7,3,1]=>[8,4,2,5,1,3,6,7]=>{{1,8},{2,4,5},{3},{6},{7}}=>{{1,8},{2},{3},{4,5,7},{6}}
[6,8,2,5,3,7,4,1]=>[6,5,2,8,3,7,1,4]=>{{1,6,7},{2,5},{3},{4,8}}=>{{1,5},{2,3,8},{4,7},{6}}
[4,7,5,2,8,6,3,1]=>[7,4,2,1,8,5,3,6]=>{{1,7},{2,4},{3},{5,8},{6}}=>{{1,4},{2,8},{3},{5,7},{6}}
[1,5,8,2,7,3,6,4]=>[8,1,7,5,6,2,3,4]=>{{1,8},{2},{3,7},{4,5,6}}=>{{1,8},{2,6},{3,4,5},{7}}
[3,6,4,7,8,5,2,1]=>[6,3,2,1,4,7,5,8]=>{{1,6,7},{2,3},{4},{5},{8}}=>{{1},{2,3,8},{4},{5},{6,7}}
[7,4,5,8,1,6,3,2]=>[7,4,3,8,1,5,6,2]=>{{1,7},{2,4,8},{3},{5},{6}}=>{{1,5,7},{2,8},{3},{4},{6}}
[6,3,4,7,8,5,2,1]=>[6,3,2,1,4,7,8,5]=>{{1,6,7,8},{2,3},{4},{5}}=>{{1,2,3,8},{4},{5},{6,7}}
[2,6,1,8,4,5,3,7]=>[2,6,4,5,1,8,3,7]=>{{1,2,6,8},{3,4,5},{7}}=>{{1,3,7,8},{2},{4,5,6}}
[1,6,7,2,3,5,4,8]=>[1,6,2,5,7,3,4,8]=>{{1},{2,6},{3},{4,5,7},{8}}=>{{1},{2,4,5},{3,7},{6},{8}}
[1,6,8,4,5,2,7,3]=>[6,1,8,4,5,2,3,7]=>{{1,6},{2},{3,8},{4},{5},{7}}=>{{1,6},{2},{3,8},{4},{5},{7}}
[4,2,1,6,5,3,8,7]=>[4,2,6,5,1,8,7,3]=>{{1,4,5},{2},{3,6,8},{7}}=>{{1,3,6},{2},{4,5,8},{7}}
[6,2,4,3,1,8,7,5]=>[6,4,2,8,7,3,5,1]=>{{1,6},{2,4,8},{3},{5,7}}=>{{1,5,7},{2,4},{3,8},{6}}
[6,8,2,1,4,3,7,5]=>[2,1,6,4,8,7,3,5]=>{{1,2},{3,6,7},{4},{5,8}}=>{{1,4},{2,3,6},{5},{7,8}}
[2,1,6,4,8,5,7,3]=>[6,2,4,1,5,3,8,7]=>{{1,6},{2},{3,4},{5},{7,8}}=>{{1,2},{3,8},{4},{5,6},{7}}
[4,2,6,3,5,8,7,1]=>[4,2,1,3,6,5,8,7]=>{{1,4},{2},{3},{5,6},{7,8}}=>{{1,2},{3,4},{5,8},{6},{7}}
[8,2,1,4,6,5,3,7]=>[2,8,4,1,6,7,5,3]=>{{1,2,8},{3,4},{5,6,7}}=>{{1,7,8},{2,3,4},{5,6}}
[2,4,8,6,7,5,1,3]=>[2,8,6,1,4,3,5,7]=>{{1,2,8},{3,6},{4},{5},{7}}=>{{1,7,8},{2},{3,6},{4},{5}}
[4,2,8,6,5,7,1,3]=>[4,8,2,6,5,1,7,3]=>{{1,4,6},{2,8},{3},{5},{7}}=>{{1,7},{2},{3,5,8},{4},{6}}
[4,6,5,8,2,1,7,3]=>[6,4,8,5,2,3,1,7]=>{{1,6},{2,4,5},{3,8},{7}}=>{{1,6},{2},{3,8},{4,5,7}}
[6,7,3,8,4,2,5,1]=>[6,3,7,2,1,8,4,5]=>{{1,6,8},{2,3,7},{4},{5}}=>{{1,3,8},{2,6,7},{4},{5}}
[7,1,8,4,3,5,2,6]=>[1,7,4,5,3,2,8,6]=>{{1},{2,7,8},{3,4,5},{6}}=>{{1,2,7},{3},{4,5,6},{8}}
[6,7,4,1,3,8,2,5]=>[6,7,1,4,8,3,2,5]=>{{1,6},{2,7},{3},{4},{5,8}}=>{{1,4},{2,7},{3,8},{5},{6}}
[1,2,7,8,6,3,4,5]=>[1,7,8,6,2,3,4,5]=>{{1},{2,7},{3,8},{4,6},{5}}=>{{1,6},{2,7},{3,5},{4},{8}}
[6,2,7,8,4,5,3,1]=>[6,4,2,7,1,3,8,5]=>{{1,6},{2,4,7,8},{3},{5}}=>{{1,2,5,7},{3,8},{4},{6}}
[6,3,7,8,1,5,2,4]=>[6,7,3,8,1,2,5,4]=>{{1,6},{2,7},{3},{4,8},{5}}=>{{1,5},{2,7},{3,8},{4},{6}}
[5,1,2,6,7,4,8,3]=>[5,1,4,2,6,7,8,3]=>{{1,5,6,7,8},{2},{3,4}}=>{{1,2,3,4,8},{5,6},{7}}
[1,5,7,3,4,8,6,2]=>[5,3,1,7,8,2,4,6]=>{{1,5,8},{2,3},{4,7},{6}}=>{{1,4,8},{2,5},{3},{6,7}}
[1,5,8,3,4,7,6,2]=>[8,5,1,3,7,2,4,6]=>{{1,8},{2,5,7},{3},{4},{6}}=>{{1,8},{2,4,7},{3},{5},{6}}
[7,4,5,2,3,8,6,1]=>[7,4,2,5,8,3,6,1]=>{{1,7},{2,4,5,8},{3},{6}}=>{{1,4,5,7},{2,8},{3},{6}}
[8,2,3,4,5,7,1,6]=>[2,8,1,3,4,5,7,6]=>{{1,2,8},{3},{4},{5},{6},{7}}=>{{1,7,8},{2},{3},{4},{5},{6}}
[3,8,2,6,7,4,5,1]=>[8,3,6,2,4,7,1,5]=>{{1,8},{2,3,6,7},{4},{5}}=>{{1,8},{2,3,6,7},{4},{5}}
[4,8,1,5,6,7,3,2]=>[8,4,3,5,6,7,1,2]=>{{1,8},{2,4,5,6,7},{3}}=>{{1,8},{2,3,4,5,7},{6}}
[5,4,8,3,6,7,1,2]=>[5,8,4,6,7,1,3,2]=>{{1,5,7},{2,8},{3,4,6}}=>{{1,7},{2,4,8},{3,5,6}}
[4,6,8,3,5,2,7,1]=>[4,3,6,2,8,1,5,7]=>{{1,4},{2,3,6},{5,8},{7}}=>{{1,4},{2},{3,6,7},{5,8}}
[5,7,8,3,2,4,1,6]=>[5,7,3,8,2,1,4,6]=>{{1,5},{2,7},{3},{4,8},{6}}=>{{1,5},{2,7},{3},{4,8},{6}}
[8,7,4,2,1,6,3,5]=>[2,4,3,8,7,6,5,1]=>{{1,2,4,8},{3},{5,7},{6}}=>{{1,5,7,8},{2,4},{3},{6}}
[1,8,2,4,7,6,5,3]=>[8,7,6,1,2,4,3,5]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[6,7,3,5,1,4,8,2]=>[6,5,7,8,3,4,1,2]=>{{1,6},{2,5},{3,7},{4,8}}=>{{1,5},{2,6},{3,8},{4,7}}
[6,4,7,5,8,2,3,1]=>[6,4,7,2,5,1,8,3]=>{{1,6},{2,4},{3,7,8},{5}}=>{{1,2,6},{3,8},{4},{5,7}}
[5,7,8,4,2,6,3,1]=>[5,4,2,7,6,1,3,8]=>{{1,5,6},{2,4,7},{3},{8}}=>{{1},{2,5,7},{3,4,8},{6}}
[5,7,4,1,6,8,3,2]=>[5,4,3,7,8,6,1,2]=>{{1,5,8},{2,4,7},{3},{6}}=>{{1,4,8},{2,5,7},{3},{6}}
[5,8,4,6,1,7,3,2]=>[5,4,3,8,6,7,1,2]=>{{1,5,6,7},{2,4,8},{3}}=>{{1,5,7},{2,3,4,8},{6}}
[5,6,1,4,7,8,3,2]=>[5,4,3,6,7,8,1,2]=>{{1,5,7},{2,4,6,8},{3}}=>{{1,3,5,7},{2,4,8},{6}}
[5,6,3,7,4,8,2,1]=>[5,3,2,6,1,7,4,8]=>{{1,5},{2,3},{4,6,7},{8}}=>{{1},{2,3,5},{4,8},{6,7}}
[5,4,8,2,6,7,3,1]=>[5,4,2,6,8,1,7,3]=>{{1,5,8},{2,4,6},{3},{7}}=>{{1,4,8},{2},{3,5,7},{6}}
[5,4,8,6,2,7,3,1]=>[5,4,2,8,6,1,7,3]=>{{1,5,6},{2,4,8},{3},{7}}=>{{1,5,7},{2},{3,4,8},{6}}
[7,4,8,5,6,2,1,3]=>[7,8,4,2,5,1,6,3]=>{{1,7},{2,8},{3,4},{5},{6}}=>{{1,7},{2,8},{3},{4},{5,6}}
[5,6,3,8,4,7,2,1]=>[5,3,2,6,1,8,4,7]=>{{1,5},{2,3},{4,6,8},{7}}=>{{1,3,5},{2},{4,8},{6,7}}
[5,6,3,8,2,7,4,1]=>[5,3,2,8,1,6,4,7]=>{{1,5},{2,3},{4,8},{6},{7}}=>{{1,5},{2},{3},{4,8},{6,7}}
[4,3,7,2,8,6,5,1]=>[4,3,2,1,7,6,8,5]=>{{1,4},{2,3},{5,7,8},{6}}=>{{1,2,4},{3},{5,8},{6,7}}
[6,7,3,8,5,2,4,1]=>[6,3,7,2,1,5,4,8]=>{{1,6},{2,3,7},{4},{5},{8}}=>{{1},{2,6,7},{3,8},{4},{5}}
[6,2,7,5,1,4,8,3]=>[6,5,7,8,2,1,4,3]=>{{1,6},{2,5},{3,7},{4,8}}=>{{1,5},{2,6},{3,8},{4,7}}
[3,5,7,8,4,6,2,1]=>[5,3,2,7,1,4,6,8]=>{{1,5},{2,3},{4,7},{6},{8}}=>{{1},{2,5},{3},{4,8},{6,7}}
[5,3,7,8,4,6,2,1]=>[5,3,2,7,1,4,8,6]=>{{1,5},{2,3},{4,7,8},{6}}=>{{1,2,5},{3},{4,8},{6,7}}
[5,7,8,2,4,6,3,1]=>[5,4,2,7,8,1,3,6]=>{{1,5,8},{2,4,7},{3},{6}}=>{{1,4,8},{2,5,7},{3},{6}}
[2,5,8,4,3,7,6,1]=>[5,4,2,8,7,1,3,6]=>{{1,5,7},{2,4,8},{3},{6}}=>{{1,5,7},{2,4,8},{3},{6}}
[3,7,4,8,6,2,1,5]=>[7,8,3,2,1,6,4,5]=>{{1,7},{2,8},{3},{4},{5},{6}}=>{{1,7},{2,8},{3},{4},{5},{6}}
[3,6,4,8,7,2,5,1]=>[6,3,8,2,1,7,4,5]=>{{1,6,7},{2,3,8},{4},{5}}=>{{1,6,7},{2,3,8},{4},{5}}
[3,5,4,8,2,7,6,1]=>[5,3,2,8,1,7,4,6]=>{{1,5},{2,3},{4,8},{6,7}}=>{{1,5},{2,3},{4,8},{6,7}}
[4,5,7,3,8,6,2,1]=>[4,3,2,1,7,5,6,8]=>{{1,4},{2,3},{5,7},{6},{8}}=>{{1},{2,4},{3},{5,8},{6,7}}
[3,5,6,8,4,7,2,1]=>[5,3,2,8,1,4,6,7]=>{{1,5},{2,3},{4,8},{6},{7}}=>{{1,5},{2},{3},{4,8},{6,7}}
[2,7,8,3,6,5,1,4]=>[7,8,6,2,5,1,3,4]=>{{1,7},{2,8},{3,6},{4},{5}}=>{{1,7},{2,8},{3,6},{4},{5}}
[1,3,2,7,8,5,6,4]=>[7,3,5,1,2,8,4,6]=>{{1,7},{2,3,5},{4},{6,8}}=>{{1,3},{2,8},{4,6,7},{5}}
[1,6,2,4,8,7,3,5]=>[6,8,4,1,2,7,3,5]=>{{1,6,7},{2,8},{3,4},{5}}=>{{1,7},{2,3,8},{4},{5,6}}
[1,2,9,8,7,6,5,4,3]=>[9,8,7,6,5,4,1,2,3]=>{{1,9},{2,8},{3,7},{4,6},{5}}=>{{1,9},{2,8},{3,7},{4,6},{5}}
[1,2,3,9,8,7,6,5,4]=>[9,8,7,6,5,1,2,3,4]=>{{1,9},{2,8},{3,7},{4,6},{5}}=>{{1,9},{2,8},{3,7},{4,6},{5}}
[1,2,3,4,9,8,7,6,5]=>[9,8,7,6,1,2,3,4,5]=>{{1,9},{2,8},{3,7},{4,6},{5}}=>{{1,9},{2,8},{3,7},{4,6},{5}}
[1,2,10,9,8,7,6,5,4,3]=>[10,9,8,7,6,5,4,1,2,3]=>{{1,10},{2,9},{3,8},{4,7},{5,6}}=>{{1,10},{2,9},{3,8},{4,7},{5,6}}
[1,2,3,10,9,8,7,6,5,4]=>[10,9,8,7,6,5,1,2,3,4]=>{{1,10},{2,9},{3,8},{4,7},{5,6}}=>{{1,10},{2,9},{3,8},{4,7},{5,6}}
[1,2,3,4,10,9,8,7,6,5]=>[10,9,8,7,6,1,2,3,4,5]=>{{1,10},{2,9},{3,8},{4,7},{5,6}}=>{{1,10},{2,9},{3,8},{4,7},{5,6}}
[1,2,3,4,5,6,7,10,9,8]=>[10,9,1,2,3,4,5,6,7,8]=>{{1,10},{2,9},{3},{4},{5},{6},{7},{8}}=>{{1,10},{2,9},{3},{4},{5},{6},{7},{8}}
[5,2,7,4,1,6,3,8]=>[2,5,4,7,6,1,8,3]=>{{1,2,5,6},{3,4,7,8}}=>{{1,2,5,6},{3,4,7,8}}
[4,7,3,1,5,6,2,8]=>[4,5,3,7,8,6,1,2]=>{{1,4,7},{2,5,8},{3},{6}}=>{{1,4,7},{2,5,8},{3},{6}}
[5,8,3,4,1,6,7,2]=>[5,3,4,8,6,7,1,2]=>{{1,5,6,7},{2,3,4,8}}=>{{1,5,6,7},{2,3,4,8}}
[1,7,8,4,5,6,2,3]=>[7,8,1,4,5,2,3,6]=>{{1,7},{2,8},{3},{4},{5},{6}}=>{{1,7},{2,8},{3},{4},{5},{6}}
[1,5,8,4,2,6,7,3]=>[5,1,4,8,6,2,3,7]=>{{1,5,6},{2},{3,4,8},{7}}=>{{1,5,6},{2},{3,4,8},{7}}
[1,6,3,8,5,2,7,4]=>[6,1,8,3,2,5,4,7]=>{{1,6},{2},{3,8},{4},{5},{7}}=>{{1,6},{2},{3,8},{4},{5},{7}}
[6,2,3,7,5,1,4,8]=>[2,6,7,3,1,5,8,4]=>{{1,2,6},{3,7,8},{4},{5}}=>{{1,2,6},{3,7,8},{4},{5}}
[1,7,3,4,8,6,2,5]=>[7,8,3,1,2,6,4,5]=>{{1,7},{2,8},{3},{4},{5},{6}}=>{{1,7},{2,8},{3},{4},{5},{6}}
[8,7,3,2,1,6,5,4]=>[3,2,1,8,7,6,5,4]=>{{1,3},{2},{4,8},{5,7},{6}}=>{{1,5},{2,4},{3},{6,8},{7}}
[8,7,6,3,1,5,2,4]=>[1,3,2,8,7,6,5,4]=>{{1},{2,3},{4,8},{5,7},{6}}=>{{1,5},{2,4},{3},{6,7},{8}}
[7,6,1,2,4,8,3,5]=>[7,8,1,2,4,6,5,3]=>{{1,7},{2,8},{3},{4},{5},{6}}=>{{1,7},{2,8},{3},{4},{5},{6}}
[8,7,5,6,2,1,4,3]=>[5,2,8,7,1,6,4,3]=>{{1,5},{2},{3,8},{4,7},{6}}=>{{1,6},{2,5},{3},{4,8},{7}}
[1,8,5,4,7,3,2,6]=>[5,8,7,1,4,3,2,6]=>{{1,5},{2,8},{3,7},{4},{6}}=>{{1,7},{2,6},{3},{4,8},{5}}
[6,4,2,5,1,8,3,7]=>[4,6,2,8,5,7,3,1]=>{{1,4,8},{2,6,7},{3},{5}}=>{{1,5,8},{2,3,7},{4},{6}}
[6,3,5,2,1,4,7,8]=>[3,6,7,8,5,2,4,1]=>{{1,3,7},{2,6},{4,8},{5}}=>{{1,5},{2,6,8},{3,7},{4}}
[6,3,8,5,2,7,1,4]=>[6,8,3,5,2,1,7,4]=>{{1,6},{2,8},{3},{4,5},{7}}=>{{1,7},{2},{3,8},{4,5},{6}}
[6,3,7,5,2,1,4,8]=>[6,7,8,3,2,1,5,4]=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}
[2,8,7,6,3,1,5,4]=>[2,1,8,7,6,5,3,4]=>{{1,2},{3,8},{4,7},{5,6}}=>{{1,6},{2,5},{3,4},{7,8}}
[2,8,7,3,6,1,4,5]=>[2,3,8,1,7,6,4,5]=>{{1,2,3,8},{4},{5,7},{6}}=>{{1,6,7,8},{2,4},{3},{5}}
[8,4,2,5,1,3,7,6]=>[4,2,5,8,3,7,6,1]=>{{1,4,8},{2},{3,5},{6,7}}=>{{1,5,8},{2,3},{4,6},{7}}
[2,3,6,1,8,4,7,5]=>[8,2,6,1,7,3,4,5]=>{{1,8},{2},{3,6},{4},{5,7}}=>{{1,8},{2,4},{3,6},{5},{7}}
[2,8,6,3,1,4,5,7]=>[2,3,4,8,6,5,1,7]=>{{1,2,3,4,8},{5,6},{7}}=>{{1,5,6,7,8},{2},{3,4}}
[8,3,5,2,1,4,6,7]=>[3,5,6,8,7,2,4,1]=>{{1,3,6},{2,5,7},{4,8}}=>{{1,5},{2,4,7},{3,6,8}}
[2,4,8,1,3,7,5,6]=>[2,8,4,5,7,1,3,6]=>{{1,2,8},{3,4,5,7},{6}}=>{{1,7,8},{2,4,5,6},{3}}
[2,6,8,1,5,7,3,4]=>[6,8,2,5,7,1,3,4]=>{{1,6},{2,8},{3},{4,5,7}}=>{{1,7},{2,4,5},{3,8},{6}}
[4,6,8,5,1,7,2,3]=>[4,6,5,8,7,1,2,3]=>{{1,4,8},{2,6},{3,5,7}}=>{{1,5,8},{2,4,6},{3,7}}
[5,1,7,6,2,8,3,4]=>[1,5,2,7,6,3,8,4]=>{{1},{2,5,6},{3},{4,7,8}}=>{{1,2,5},{3,4,7},{6},{8}}
[5,1,8,7,6,2,3,4]=>[1,2,8,7,5,3,6,4]=>{{1},{2},{3,8},{4,7},{5},{6}}=>{{1,6},{2,5},{3},{4},{7},{8}}
[8,5,1,7,6,2,3,4]=>[1,2,8,5,3,7,6,4]=>{{1},{2},{3,8},{4,5},{6,7}}=>{{1,6},{2,3},{4,5},{7},{8}}
[8,5,1,6,2,7,3,4]=>[1,5,2,6,3,8,7,4]=>{{1},{2,5},{3},{4,6,8},{7}}=>{{1,3,5},{2},{4,7},{6},{8}}
[4,8,5,1,7,2,3,6]=>[1,4,5,2,8,7,3,6]=>{{1},{2,4},{3,5,8},{6,7}}=>{{1,4,6},{2,3},{5,7},{8}}
[4,5,1,8,7,2,3,6]=>[1,4,8,5,2,7,3,6]=>{{1},{2,4,5},{3,8},{6,7}}=>{{1,6},{2,3},{4,5,7},{8}}
[5,6,8,3,7,1,4,2]=>[8,5,6,3,4,1,2,7]=>{{1,8},{2,5},{3,6},{4},{7}}=>{{1,8},{2},{3,6},{4,7},{5}}
[6,4,7,1,2,8,5,3]=>[6,4,1,7,8,2,5,3]=>{{1,6},{2,4,7},{3},{5,8}}=>{{1,4},{2,5,7},{3,8},{6}}
[8,6,5,1,7,2,3,4]=>[1,2,6,3,8,7,5,4]=>{{1},{2},{3,6,7},{4},{5,8}}=>{{1,4},{2,3,6},{5},{7},{8}}
[6,5,1,8,7,2,3,4]=>[1,2,6,5,3,8,7,4]=>{{1},{2},{3,6,8},{4,5},{7}}=>{{1,3,6},{2},{4,5},{7},{8}}
[6,5,1,7,2,8,3,4]=>[1,6,2,7,3,8,5,4]=>{{1},{2,6,8},{3},{4,7},{5}}=>{{1,3,7},{2,5},{4},{6},{8}}
[4,1,7,5,3,6,2,8]=>[4,7,5,6,3,1,8,2]=>{{1,4,6},{2,7,8},{3,5}}=>{{1,2,7},{3,5,8},{4,6}}
[1,8,4,2,3,6,7,5]=>[4,1,2,3,8,6,5,7]=>{{1,4},{2},{3},{5,8},{6},{7}}=>{{1,4},{2},{3},{5,8},{6},{7}}
[4,1,8,2,5,7,3,6]=>[4,8,1,2,5,3,7,6]=>{{1,4},{2,8},{3},{5},{6},{7}}=>{{1,7},{2},{3},{4},{5,8},{6}}
[6,8,4,2,1,5,3,7]=>[4,6,5,8,7,2,1,3]=>{{1,4,8},{2,6},{3,5,7}}=>{{1,5,8},{2,4,6},{3,7}}
[4,3,8,1,6,2,7,5]=>[4,1,6,3,8,2,7,5]=>{{1,4},{2},{3,6},{5,8},{7}}=>{{1,4},{2},{3,6},{5,8},{7}}
[4,2,1,8,5,7,3,6]=>[4,5,2,3,1,8,7,6]=>{{1,4},{2,5},{3},{6,8},{7}}=>{{1,3},{2},{4,7},{5,8},{6}}
[2,1,5,8,4,7,3,6]=>[5,8,2,4,1,3,7,6]=>{{1,5},{2,8},{3},{4},{6},{7}}=>{{1,7},{2},{3},{4,8},{5},{6}}
[5,4,2,1,6,7,3,8]=>[5,6,2,7,8,4,3,1]=>{{1,5,8},{2,6},{3},{4,7}}=>{{1,4,8},{2,5},{3,7},{6}}
[5,2,8,3,7,4,6,1]=>[8,2,5,3,4,1,7,6]=>{{1,8},{2},{3,5},{4},{6},{7}}=>{{1,8},{2},{3},{4,6},{5},{7}}
[8,7,6,1,3,5,2,4]=>[3,8,1,2,7,6,5,4]=>{{1,3},{2,8},{4},{5,7},{6}}=>{{1,7},{2,4},{3},{5},{6,8}}
[8,1,6,5,7,3,4,2]=>[8,6,7,1,5,3,4,2]=>{{1,8},{2,6},{3,7},{4},{5}}=>{{1,8},{2,6},{3,7},{4},{5}}
[7,8,6,2,5,3,1,4]=>[2,7,6,5,8,3,1,4]=>{{1,2,7},{3,6},{4,5,8}}=>{{1,4,5},{2,7,8},{3,6}}
[6,5,2,7,1,4,8,3]=>[6,2,7,8,1,5,4,3]=>{{1,6},{2},{3,7},{4,8},{5}}=>{{1,5},{2,6},{3,8},{4},{7}}
[8,4,7,6,3,1,5,2]=>[4,3,8,7,6,1,5,2]=>{{1,4,7},{2,3,8},{5,6}}=>{{1,6,7},{2,5,8},{3,4}}
[6,5,1,8,4,3,7,2]=>[6,1,5,4,3,8,7,2]=>{{1,6,8},{2},{3,5},{4},{7}}=>{{1,3,8},{2},{4,6},{5},{7}}
[8,5,1,2,6,4,3,7]=>[1,8,5,2,6,7,4,3]=>{{1},{2,8},{3,5,6,7},{4}}=>{{1,7},{2,3,4,6},{5},{8}}
[5,8,6,1,3,4,2,7]=>[1,8,5,6,7,3,2,4]=>{{1},{2,8},{3,5,7},{4,6}}=>{{1,7},{2,4,6},{3,5},{8}}
[5,8,4,6,1,3,2,7]=>[5,6,4,8,3,7,1,2]=>{{1,5},{2,6,7},{3,4,8}}=>{{1,5,6},{2,3,7},{4,8}}
[6,7,3,8,4,1,2,5]=>[6,7,8,3,1,4,2,5]=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}
[8,7,6,4,1,2,5,3]=>[4,1,2,8,7,6,5,3]=>{{1,4,8},{2},{3},{5,7},{6}}=>{{1,5,8},{2,4},{3},{6},{7}}
[1,3,7,5,8,2,4,6]=>[3,7,8,1,5,2,4,6]=>{{1,3,8},{2,7},{4},{5},{6}}=>{{1,6,8},{2,7},{3},{4},{5}}
[1,8,4,2,6,7,3,5]=>[4,6,1,2,8,7,3,5]=>{{1,4},{2,6,7},{3},{5,8}}=>{{1,4},{2,3,7},{5,8},{6}}
[5,1,7,2,3,6,8,4]=>[7,1,2,5,6,3,8,4]=>{{1,7,8},{2},{3},{4,5,6}}=>{{1,2,8},{3,4,5},{6},{7}}
[1,3,7,4,8,2,6,5]=>[7,3,8,1,6,2,4,5]=>{{1,7},{2,3,8},{4},{5,6}}=>{{1,6,7},{2,8},{3,4},{5}}
[3,1,7,2,8,5,6,4]=>[7,1,3,2,5,4,8,6]=>{{1,7,8},{2},{3},{4},{5},{6}}=>{{1,2,8},{3},{4},{5},{6},{7}}
[4,8,2,7,3,6,5,1]=>[8,7,2,4,3,6,1,5]=>{{1,8},{2,7},{3},{4},{5},{6}}=>{{1,8},{2,7},{3},{4},{5},{6}}
[8,7,6,1,2,3,5,4]=>[8,1,2,3,7,6,5,4]=>{{1,8},{2},{3},{4},{5,7},{6}}=>{{1,8},{2,4},{3},{5},{6},{7}}
[5,2,1,8,7,3,4,6]=>[2,3,5,4,1,8,7,6]=>{{1,2,3,5},{4},{6,8},{7}}=>{{1,3},{2},{4,6,7,8},{5}}
[6,3,8,7,4,5,1,2]=>[6,8,3,7,4,1,5,2]=>{{1,6},{2,8},{3},{4,7},{5}}=>{{1,7},{2,5},{3,8},{4},{6}}
[4,1,3,6,7,5,8,2]=>[4,1,3,2,6,7,8,5]=>{{1,4},{2},{3},{5,6,7,8}}=>{{1,2,3,4},{5,8},{6},{7}}
[4,3,7,8,1,6,2,5]=>[4,7,3,8,1,2,6,5]=>{{1,4,8},{2,7},{3},{5},{6}}=>{{1,5,8},{2,7},{3},{4},{6}}
[5,8,2,3,7,6,1,4]=>[5,8,7,2,3,6,1,4]=>{{1,5},{2,8},{3,7},{4},{6}}=>{{1,7},{2,6},{3},{4,8},{5}}
[5,4,8,1,3,6,7,2]=>[5,1,4,6,8,3,7,2]=>{{1,5,8},{2},{3,4,6},{7}}=>{{1,4,8},{2},{3,5,6},{7}}
[7,4,5,1,2,3,8,6]=>[4,1,2,7,8,5,6,3]=>{{1,4,7},{2},{3},{5,8},{6}}=>{{1,4},{2,5,8},{3},{6},{7}}
[6,5,3,7,8,4,1,2]=>[6,7,3,1,5,8,4,2]=>{{1,6,8},{2,7},{3},{4},{5}}=>{{1,3,8},{2,7},{4},{5},{6}}
[4,1,3,8,7,5,6,2]=>[8,1,4,3,2,5,7,6]=>{{1,8},{2},{3,4},{5},{6},{7}}=>{{1,8},{2},{3},{4},{5,6},{7}}
[3,6,8,5,2,7,4,1]=>[6,3,2,8,5,1,4,7]=>{{1,6},{2,3},{4,8},{5},{7}}=>{{1,5},{2},{3,8},{4},{6,7}}
[2,1,6,5,4,8,3,7]=>[2,6,1,5,4,3,8,7]=>{{1,2,6},{3},{4,5},{7,8}}=>{{1,2},{3,7,8},{4,5},{6}}
[7,2,4,1,6,3,8,5]=>[2,1,4,3,7,6,8,5]=>{{1,2},{3,4},{5,7,8},{6}}=>{{1,2,4},{3},{5,6},{7,8}}
[7,3,8,5,2,6,4,1]=>[7,3,2,8,5,1,6,4]=>{{1,7},{2,3},{4,8},{5},{6}}=>{{1,5},{2,8},{3},{4},{6,7}}
[4,2,7,5,8,3,6,1]=>[7,4,5,2,3,1,8,6]=>{{1,7,8},{2,4},{3,5},{6}}=>{{1,2,8},{3},{4,6},{5,7}}
[5,7,2,8,3,6,1,4]=>[5,7,2,6,1,8,3,4]=>{{1,5},{2,7},{3},{4,6,8}}=>{{1,3,5},{2,7},{4,8},{6}}
[7,1,8,3,5,4,6,2]=>[7,1,5,3,4,2,8,6]=>{{1,7,8},{2},{3,5},{4},{6}}=>{{1,2,8},{3},{4,6},{5},{7}}
[8,4,6,5,3,2,1,7]=>[4,8,6,5,3,2,7,1]=>{{1,4,5},{2,8},{3,6},{7}}=>{{1,7},{2},{3,6},{4,5,8}}
[6,1,4,8,2,3,5,7]=>[1,2,6,8,4,5,7,3]=>{{1},{2},{3,6},{4,8},{5},{7}}=>{{1,5},{2},{3,6},{4},{7},{8}}
[4,2,7,3,1,5,6,8]=>[2,4,5,7,3,1,8,6]=>{{1,2,4,7,8},{3,5},{6}}=>{{1,2,5,7,8},{3},{4,6}}
[7,8,4,1,3,6,2,5]=>[7,8,1,4,6,3,2,5]=>{{1,7},{2,8},{3},{4},{5,6}}=>{{1,7},{2,8},{3,4},{5},{6}}
[2,8,1,4,7,3,5,6]=>[2,4,8,1,5,7,3,6]=>{{1,2,4},{3,8},{5},{6,7}}=>{{1,6},{2,3},{4},{5,7,8}}
[4,5,2,1,8,7,6,3]=>[8,4,2,1,7,5,3,6]=>{{1,8},{2,4},{3},{5,7},{6}}=>{{1,8},{2,4},{3},{5,7},{6}}
[5,6,2,7,4,1,8,3]=>[5,2,6,4,1,7,3,8]=>{{1,5},{2},{3,6,7},{4},{8}}=>{{1},{2,3,6},{4,8},{5},{7}}
[5,6,7,2,1,8,3,4]=>[5,6,2,7,3,1,4,8]=>{{1,5},{2,6},{3},{4,7},{8}}=>{{1},{2,5},{3,7},{4,8},{6}}
[5,6,1,7,2,4,8,3]=>[5,4,6,7,1,8,2,3]=>{{1,5},{2,4,7},{3,6,8}}=>{{1,3,6},{2,5,7},{4,8}}
[4,7,5,1,6,8,2,3]=>[4,5,1,2,7,6,3,8]=>{{1,4},{2,5,7},{3},{6},{8}}=>{{1},{2,4,7},{3},{5,8},{6}}
[8,5,4,1,3,2,7,6]=>[5,1,8,4,7,6,3,2]=>{{1,5,7},{2},{3,8},{4},{6}}=>{{1,6},{2,4,8},{3},{5},{7}}
[4,7,1,8,2,5,3,6]=>[1,7,4,5,2,8,3,6]=>{{1},{2,7},{3,4,5},{6,8}}=>{{1,3},{2,7},{4,5,6},{8}}
[3,2,5,4,7,8,1,6]=>[3,5,2,4,7,1,8,6]=>{{1,3},{2,5,7,8},{4},{6}}=>{{1,2,4,7},{3},{5},{6,8}}
[3,8,5,2,7,6,1,4]=>[3,8,2,1,7,5,4,6]=>{{1,3},{2,8},{4},{5,7},{6}}=>{{1,7},{2,4},{3},{5},{6,8}}
[3,1,7,5,8,2,6,4]=>[7,3,8,1,5,2,6,4]=>{{1,7},{2,3,8},{4},{5},{6}}=>{{1,6,7},{2,8},{3},{4},{5}}
[2,5,8,1,7,3,4,6]=>[2,3,8,5,7,1,4,6]=>{{1,2,3,8},{4,5,7},{6}}=>{{1,6,7,8},{2,4,5},{3}}
[4,8,5,1,6,2,3,7]=>[4,5,6,1,8,7,2,3]=>{{1,4},{2,5,8},{3,6,7}}=>{{1,4,7},{2,3,6},{5,8}}
[2,3,8,4,1,5,6,7]=>[2,3,4,8,5,1,6,7]=>{{1,2,3,4,8},{5},{6},{7}}=>{{1,5,6,7,8},{2},{3},{4}}
[2,6,7,5,3,8,4,1]=>[6,5,2,7,3,1,4,8]=>{{1,6},{2,5},{3},{4,7},{8}}=>{{1},{2,5},{3,8},{4,7},{6}}
[6,7,4,8,3,1,2,5]=>[6,7,8,4,1,3,2,5]=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}
[3,4,8,1,2,5,7,6]=>[8,3,4,5,7,1,2,6]=>{{1,8},{2,3,4,5,7},{6}}=>{{1,8},{2,4,5,6,7},{3}}
[6,3,1,4,8,2,5,7]=>[3,4,6,1,5,8,7,2]=>{{1,3,6,8},{2,4},{5},{7}}=>{{1,3,6,8},{2},{4},{5,7}}
[6,7,4,8,2,1,3,5]=>[6,7,8,4,2,3,1,5]=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}
[3,2,8,7,5,4,6,1]=>[8,3,7,5,2,1,6,4]=>{{1,8},{2,3,7},{4,5},{6}}=>{{1,8},{2,6,7},{3},{4,5}}
[5,1,7,8,6,4,2,3]=>[5,7,6,4,1,2,8,3]=>{{1,5},{2,7,8},{3,6},{4}}=>{{1,2,7},{3,6},{4,8},{5}}
[2,1,4,8,6,5,3,7]=>[2,8,6,4,1,5,7,3]=>{{1,2,8},{3,6},{4},{5},{7}}=>{{1,7,8},{2},{3,6},{4},{5}}
[2,3,7,8,5,1,4,6]=>[2,7,8,5,1,3,4,6]=>{{1,2,7},{3,8},{4,5},{6}}=>{{1,6},{2,7,8},{3},{4,5}}
[5,3,6,4,2,7,1,8]=>[5,6,3,7,2,1,8,4]=>{{1,5},{2,6},{3},{4,7,8}}=>{{1,2,5},{3,7},{4,8},{6}}
[6,1,5,3,8,7,4,2]=>[6,5,3,1,8,2,7,4]=>{{1,6},{2,5,8},{3},{4},{7}}=>{{1,4,7},{2},{3,8},{5},{6}}
[8,6,3,7,4,2,1,5]=>[3,8,6,4,2,7,5,1]=>{{1,3,6,7},{2,8},{4},{5}}=>{{1,7},{2,3,6,8},{4},{5}}
[2,8,6,4,7,5,1,3]=>[6,8,2,1,7,4,3,5]=>{{1,6},{2,8},{3},{4},{5,7}}=>{{1,7},{2,4},{3,8},{5},{6}}
[8,6,3,1,7,4,2,5]=>[3,6,4,1,8,7,5,2]=>{{1,3,4},{2,6,7},{5,8}}=>{{1,4},{2,3,7},{5,6,8}}
[2,8,6,4,1,3,7,5]=>[2,1,6,8,7,4,3,5]=>{{1,2},{3,6},{4,8},{5,7}}=>{{1,5},{2,4},{3,6},{7,8}}
[2,1,5,7,8,4,3,6]=>[2,5,4,1,3,7,8,6]=>{{1,2,5},{3,4},{6,7,8}}=>{{1,2,3},{4,7,8},{5,6}}
[6,4,3,8,1,7,2,5]=>[1,6,4,8,3,7,5,2]=>{{1},{2,6,7},{3,4,8},{5}}=>{{1,5,6},{2,3,7},{4},{8}}
[6,5,3,8,7,1,2,4]=>[1,6,8,5,3,7,4,2]=>{{1},{2,6,7},{3,8},{4,5}}=>{{1,6},{2,3,7},{4,5},{8}}
[2,6,8,4,1,7,3,5]=>[2,6,4,8,7,1,3,5]=>{{1,2,6},{3,4,8},{5,7}}=>{{1,5,6},{2,4},{3,7,8}}
[1,8,7,4,2,6,3,5]=>[1,4,2,8,7,6,3,5]=>{{1},{2,4,8},{3},{5,7},{6}}=>{{1,5,7},{2,4},{3},{6},{8}}
[5,7,3,8,6,1,2,4]=>[5,7,8,3,1,6,2,4]=>{{1,5},{2,7},{3,8},{4},{6}}=>{{1,6},{2,7},{3},{4,8},{5}}
[1,8,7,5,6,2,3,4]=>[1,5,8,2,7,6,3,4]=>{{1},{2,5,7},{3,8},{4},{6}}=>{{1,6},{2,4,7},{3},{5},{8}}
[5,2,8,6,7,1,3,4]=>[5,6,8,2,3,1,7,4]=>{{1,5},{2,6},{3,8},{4},{7}}=>{{1,6},{2},{3,7},{4,8},{5}}
[5,4,2,7,6,8,1,3]=>[5,7,4,6,2,8,3,1]=>{{1,5},{2,7},{3,4,6,8}}=>{{1,3,5,6},{2,7},{4,8}}
[4,2,1,8,7,3,5,6]=>[2,4,5,3,1,8,7,6]=>{{1,2,4},{3,5},{6,8},{7}}=>{{1,3},{2},{4,6},{5,7,8}}
[8,1,4,2,3,6,7,5]=>[4,1,2,3,8,6,7,5]=>{{1,4},{2},{3},{5,8},{6},{7}}=>{{1,4},{2},{3},{5,8},{6},{7}}
[1,7,4,6,8,2,5,3]=>[7,4,6,1,2,5,3,8]=>{{1,7},{2,4},{3,6},{5},{8}}=>{{1},{2,8},{3,6},{4},{5,7}}
[7,3,2,6,1,8,5,4]=>[3,2,1,7,6,8,5,4]=>{{1,3},{2},{4,7},{5,6,8}}=>{{1,3,4},{2,5},{6,8},{7}}
[3,8,1,6,7,4,2,5]=>[3,8,6,1,4,7,2,5]=>{{1,3,6,7},{2,8},{4},{5}}=>{{1,7},{2,3,6,8},{4},{5}}
[2,6,8,3,7,4,1,5]=>[2,8,6,3,7,1,4,5]=>{{1,2,8},{3,6},{4},{5,7}}=>{{1,7,8},{2,4},{3,6},{5}}
[2,5,8,1,6,4,7,3]=>[8,2,5,4,6,1,3,7]=>{{1,8},{2},{3,5,6},{4},{7}}=>{{1,8},{2},{3,4,6},{5},{7}}
[6,3,4,1,7,2,8,5]=>[3,1,6,4,7,5,8,2]=>{{1,3,6},{2},{4},{5,7,8}}=>{{1,2,4},{3,6,8},{5},{7}}
[8,2,3,5,1,7,6,4]=>[8,2,1,7,3,5,6,4]=>{{1,8},{2},{3},{4,7},{5},{6}}=>{{1,8},{2,5},{3},{4},{6},{7}}
[8,2,4,1,6,3,7,5]=>[2,1,4,3,8,6,7,5]=>{{1,2},{3,4},{5,8},{6},{7}}=>{{1,4},{2},{3},{5,6},{7,8}}
[7,1,3,8,4,2,6,5]=>[7,1,8,3,2,4,6,5]=>{{1,7},{2},{3,8},{4},{5},{6}}=>{{1,6},{2,8},{3},{4},{5},{7}}
[7,4,2,1,5,8,3,6]=>[4,7,2,5,8,6,3,1]=>{{1,4,5,8},{2,7},{3},{6}}=>{{1,4,5,8},{2,7},{3},{6}}
[3,5,2,7,1,6,8,4]=>[3,2,5,7,1,6,4,8]=>{{1,3,5},{2},{4,7},{6},{8}}=>{{1},{2,5},{3},{4,6,8},{7}}
[7,5,1,4,2,8,6,3]=>[7,5,1,8,2,6,4,3]=>{{1,7},{2,5},{3},{4,8},{6}}=>{{1,5},{2,8},{3},{4,7},{6}}
[7,5,4,1,3,8,6,2]=>[7,5,1,4,8,6,3,2]=>{{1,7},{2,5,8},{3},{4},{6}}=>{{1,4,7},{2,8},{3},{5},{6}}
[6,3,2,8,1,5,7,4]=>[6,3,5,8,2,7,4,1]=>{{1,6,7},{2,3,5},{4,8}}=>{{1,5},{2,3,8},{4,6,7}}
[3,6,8,2,1,5,7,4]=>[3,2,6,8,5,1,4,7]=>{{1,3,6},{2},{4,8},{5},{7}}=>{{1,5},{2},{3,6,8},{4},{7}}
[3,1,8,4,7,5,2,6]=>[3,8,7,4,5,1,6,2]=>{{1,3,7},{2,8},{4},{5},{6}}=>{{1,7},{2,6,8},{3},{4},{5}}
[8,7,3,6,4,2,1,5]=>[3,8,7,6,4,5,2,1]=>{{1,3,7},{2,8},{4,6},{5}}=>{{1,7},{2,6,8},{3,5},{4}}
[6,1,4,2,5,3,7,8]=>[1,4,6,2,7,5,8,3]=>{{1},{2,4},{3,6},{5,7,8}}=>{{1,2,4},{3,6},{5,7},{8}}
[6,4,1,2,5,3,7,8]=>[1,4,6,2,7,8,5,3]=>{{1},{2,4},{3,6,8},{5,7}}=>{{1,3,6},{2,4},{5,7},{8}}
[2,3,4,5,6,9,7,8,1]=>[9,2,3,1,4,5,6,7,8]=>{{1,9},{2},{3},{4},{5},{6},{7},{8}}=>{{1,9},{2},{3},{4},{5},{6},{7},{8}}
[2,3,4,5,6,7,8,10,9,1]=>[10,2,1,3,4,5,6,7,8,9]=>{{1,10},{2},{3},{4},{5},{6},{7},{8},{9}}=>{{1,10},{2},{3},{4},{5},{6},{7},{8},{9}}
[4,5,6,2,3,8,1,7]=>[4,5,2,3,8,1,6,7]=>{{1,4},{2,5,8},{3},{6},{7}}=>{{1,4,7},{2},{3},{5,8},{6}}
[7,8,3,6,2,1,4,5]=>[3,7,8,4,2,6,1,5]=>{{1,3,8},{2,7},{4},{5},{6}}=>{{1,6,8},{2,7},{3},{4},{5}}
[2,8,3,1,6,7,5,4]=>[8,2,1,3,6,5,4,7]=>{{1,8},{2},{3},{4},{5,6},{7}}=>{{1,8},{2},{3,4},{5},{6},{7}}
[4,2,6,8,3,1,5,7]=>[2,4,6,3,1,5,8,7]=>{{1,2,4},{3,6},{5},{7,8}}=>{{1,2},{3,6},{4},{5,7,8}}
[4,1,8,2,7,3,5,6]=>[1,2,8,4,5,3,7,6]=>{{1},{2},{3,8},{4},{5},{6},{7}}=>{{1,6},{2},{3},{4},{5},{7},{8}}
[1,2,7,5,3,8,4,6]=>[1,7,2,8,5,3,4,6]=>{{1},{2,7},{3},{4,8},{5},{6}}=>{{1,5},{2,7},{3},{4},{6},{8}}
[1,2,3,7,6,8,4,5]=>[7,8,1,6,2,3,4,5]=>{{1,7},{2,8},{3},{4,6},{5}}=>{{1,7},{2,8},{3,5},{4},{6}}
[1,2,3,6,8,7,4,5]=>[6,8,7,1,2,3,4,5]=>{{1,6},{2,8},{3,7},{4},{5}}=>{{1,7},{2,6},{3,8},{4},{5}}
[1,2,3,7,8,4,6,5]=>[7,6,8,1,2,3,4,5]=>{{1,7},{2,6},{3,8},{4},{5}}=>{{1,6},{2,8},{3,7},{4},{5}}
[1,2,3,6,8,4,7,5]=>[8,6,7,1,2,3,4,5]=>{{1,8},{2,6},{3,7},{4},{5}}=>{{1,8},{2,6},{3,7},{4},{5}}
[1,2,3,7,8,6,4,5]=>[7,8,6,1,2,3,4,5]=>{{1,7},{2,8},{3,6},{4},{5}}=>{{1,7},{2,8},{3,6},{4},{5}}
[5,3,4,8,7,2,6,1]=>[5,3,8,2,1,4,7,6]=>{{1,5},{2,3,8},{4},{6},{7}}=>{{1,6,7},{2},{3},{4,8},{5}}
[7,5,3,8,6,2,4,1]=>[7,5,8,3,2,6,4,1]=>{{1,7},{2,5},{3,8},{4},{6}}=>{{1,6},{2,8},{3},{4,7},{5}}
[7,4,3,8,6,2,5,1]=>[7,4,8,3,2,6,5,1]=>{{1,7},{2,4},{3,8},{5},{6}}=>{{1,6},{2,8},{3},{4},{5,7}}
[6,3,7,8,4,5,2,1]=>[6,3,2,7,1,4,8,5]=>{{1,6},{2,3},{4,7,8},{5}}=>{{1,2,5},{3,8},{4},{6,7}}
[3,7,5,8,4,6,2,1]=>[7,5,3,8,2,4,1,6]=>{{1,7},{2,5},{3},{4,8},{6}}=>{{1,5},{2,8},{3},{4,7},{6}}
[5,7,4,6,8,3,2,1]=>[5,4,3,2,7,8,1,6]=>{{1,5,7},{2,4},{3},{6,8}}=>{{1,3},{2,4,8},{5,7},{6}}
[3,7,2,4,8,1,6,5]=>[3,2,7,1,6,8,4,5]=>{{1,3,7},{2},{4},{5,6,8}}=>{{1,3,4},{2,6,8},{5},{7}}
[6,2,1,5,7,4,3,8]=>[2,6,5,1,7,8,4,3]=>{{1,2,6,8},{3,5,7},{4}}=>{{1,3,7,8},{2,4,6},{5}}
[5,3,1,4,6,2,7,8]=>[3,5,6,1,7,8,4,2]=>{{1,3,6,8},{2,5,7},{4}}=>{{1,3,6,8},{2,4,7},{5}}
[3,1,8,4,5,7,6,2]=>[8,7,3,4,5,1,6,2]=>{{1,8},{2,7},{3},{4},{5},{6}}=>{{1,8},{2,7},{3},{4},{5},{6}}
[8,7,1,3,4,2,6,5]=>[3,1,8,2,4,7,6,5]=>{{1,3,8},{2},{4},{5},{6,7}}=>{{1,6,8},{2,3},{4},{5},{7}}
[8,1,4,3,6,2,7,5]=>[4,1,8,3,6,5,7,2]=>{{1,4},{2},{3,8},{5,6},{7}}=>{{1,6},{2},{3,4},{5,8},{7}}
[4,2,3,5,8,7,1,6]=>[4,8,2,1,3,5,7,6]=>{{1,4},{2,8},{3},{5},{6},{7}}=>{{1,7},{2},{3},{4},{5,8},{6}}
[1,8,6,4,2,3,7,5]=>[6,1,2,8,7,4,3,5]=>{{1,6},{2},{3},{4,8},{5,7}}=>{{1,5},{2,4},{3,8},{6},{7}}
[6,5,3,7,4,8,2,1]=>[6,5,3,7,2,8,4,1]=>{{1,6,8},{2,5},{3},{4,7}}=>{{1,3,8},{2,5},{4,7},{6}}
[8,4,1,2,5,6,7,3]=>[4,1,2,5,6,8,7,3]=>{{1,4,5,6,8},{2},{3},{7}}=>{{1,3,4,5,8},{2},{6},{7}}
[8,7,3,1,5,4,2,6]=>[3,8,5,1,7,6,4,2]=>{{1,3,5,7},{2,8},{4},{6}}=>{{1,7},{2,4,6,8},{3},{5}}
[3,2,6,5,1,4,8,7]=>[3,2,6,8,5,1,7,4]=>{{1,3,6},{2},{4,8},{5},{7}}=>{{1,5},{2},{3,6,8},{4},{7}}
[6,8,2,3,7,5,1,4]=>[6,8,7,2,3,5,1,4]=>{{1,6},{2,8},{3,7},{4},{5}}=>{{1,7},{2,6},{3,8},{4},{5}}
[6,8,3,7,2,1,5,4]=>[6,3,8,7,2,5,1,4]=>{{1,6},{2,3,8},{4,7},{5}}=>{{1,6,7},{2,5},{3,8},{4}}
[3,5,8,1,7,2,6,4]=>[8,3,7,5,6,1,2,4]=>{{1,8},{2,3,7},{4,5,6}}=>{{1,8},{2,6,7},{3,4,5}}
[5,4,8,7,2,6,1,3]=>[5,8,4,7,2,1,6,3]=>{{1,5},{2,8},{3,4,7},{6}}=>{{1,7},{2,5,6},{3},{4,8}}
[5,7,1,4,8,3,6,2]=>[5,4,7,1,3,8,2,6]=>{{1,5},{2,4},{3,7},{6,8}}=>{{1,3},{2,6},{4,8},{5,7}}
[6,3,7,5,8,4,2,1]=>[6,5,3,2,7,1,8,4]=>{{1,6},{2,5,7,8},{3},{4}}=>{{1,2,4,7},{3,8},{5},{6}}
[5,7,3,8,4,1,2,6]=>[5,7,8,3,1,4,2,6]=>{{1,5},{2,7},{3,8},{4},{6}}=>{{1,6},{2,7},{3},{4,8},{5}}
[2,4,8,1,5,6,3,7]=>[2,8,4,5,6,1,3,7]=>{{1,2,8},{3,4,5,6},{7}}=>{{1,7,8},{2},{3,4,5,6}}
[5,8,4,7,6,3,2,1]=>[8,5,4,3,2,7,1,6]=>{{1,8},{2,5},{3,4},{6,7}}=>{{1,8},{2,3},{4,7},{5,6}}
[3,5,2,4,7,6,1,8]=>[3,5,2,1,7,8,4,6]=>{{1,3},{2,5,7},{4},{6,8}}=>{{1,3},{2,4,7},{5},{6,8}}
[3,5,4,7,6,1,2,8]=>[3,5,7,4,1,6,2,8]=>{{1,3,7},{2,5},{4},{6},{8}}=>{{1},{2,6,8},{3},{4,7},{5}}
[3,5,4,7,6,1,8,2]=>[5,3,7,4,1,6,2,8]=>{{1,5},{2,3,7},{4},{6},{8}}=>{{1},{2,6,7},{3},{4,8},{5}}
[3,7,5,1,4,8,6,2]=>[7,3,1,5,8,4,2,6]=>{{1,7},{2,3},{4,5,8},{6}}=>{{1,4,5},{2,8},{3},{6,7}}
[3,7,5,1,4,8,2,6]=>[3,7,1,5,8,4,2,6]=>{{1,3},{2,7},{4,5,8},{6}}=>{{1,4,5},{2,7},{3},{6,8}}
[3,5,7,1,2,6,8,4]=>[7,3,5,6,8,1,2,4]=>{{1,7},{2,3,5,8},{4,6}}=>{{1,4,6,7},{2,8},{3,5}}
[3,5,2,7,1,4,6,8]=>[3,5,7,8,2,4,1,6]=>{{1,3,7},{2,5},{4,8},{6}}=>{{1,5},{2,6,8},{3},{4,7}}
[3,5,7,4,1,2,6,8]=>[3,5,7,8,4,1,2,6]=>{{1,3,7},{2,5},{4,8},{6}}=>{{1,5},{2,6,8},{3},{4,7}}
[3,2,5,4,7,1,6,8]=>[3,5,7,2,4,1,8,6]=>{{1,3,7,8},{2,5},{4},{6}}=>{{1,2,6,8},{3},{4,7},{5}}
[3,7,2,5,1,8,4,6]=>[3,7,2,8,5,6,1,4]=>{{1,3},{2,7},{4,8},{5},{6}}=>{{1,5},{2,7},{3},{4},{6,8}}
[2,1,7,5,8,4,6,3]=>[7,2,5,1,4,3,8,6]=>{{1,7,8},{2},{3,5},{4},{6}}=>{{1,2,8},{3},{4,6},{5},{7}}
[2,3,4,5,6,7,1,9,8]=>[2,1,9,3,4,5,6,7,8]=>{{1,2},{3,9},{4},{5},{6},{7},{8}}=>{{1,7},{2},{3},{4},{5},{6},{8,9}}
[4,3,5,6,8,1,7,2]=>[4,3,8,1,5,6,7,2]=>{{1,4},{2,3,8},{5},{6},{7}}=>{{1,6,7},{2},{3},{4},{5,8}}
[8,4,2,6,5,1,3,7]=>[4,6,8,2,1,7,5,3]=>{{1,4},{2,6,7},{3,8},{5}}=>{{1,6},{2,3,7},{4},{5,8}}
[7,4,1,8,3,5,6,2]=>[7,1,4,5,3,8,6,2]=>{{1,7},{2},{3,4,5},{6,8}}=>{{1,3},{2,8},{4,5,6},{7}}
[8,7,4,2,1,3,6,5]=>[4,2,3,8,7,6,5,1]=>{{1,4,8},{2},{3},{5,7},{6}}=>{{1,5,8},{2,4},{3},{6},{7}}
[8,3,7,2,1,5,6,4]=>[3,2,5,8,7,1,6,4]=>{{1,3,5,7},{2},{4,8},{6}}=>{{1,5},{2,4,6,8},{3},{7}}
[8,7,4,2,5,1,6,3]=>[4,2,8,5,7,6,3,1]=>{{1,4,5,7},{2},{3,8},{6}}=>{{1,6},{2,4,5,8},{3},{7}}
[8,1,4,5,2,6,7,3]=>[4,1,2,8,5,6,7,3]=>{{1,4,8},{2},{3},{5},{6},{7}}=>{{1,5,8},{2},{3},{4},{6},{7}}
[8,5,6,2,1,3,7,4]=>[5,2,6,8,7,3,4,1]=>{{1,5,7},{2},{3,6},{4,8}}=>{{1,5},{2,4,8},{3,6},{7}}
[7,1,3,2,5,4,6,8]=>[1,3,5,2,7,6,8,4]=>{{1},{2,3,5,7,8},{4},{6}}=>{{1,2,4,6,7},{3},{5},{8}}
[1,3,2,7,5,4,6,8]=>[1,3,7,5,2,6,4,8]=>{{1},{2,3,7},{4,5},{6},{8}}=>{{1},{2,6,7},{3},{4,5},{8}}
[1,8,5,4,2,7,6,3]=>[5,4,1,8,7,6,2,3]=>{{1,5,7},{2,4,8},{3},{6}}=>{{1,5,7},{2,4,8},{3},{6}}
[3,7,5,1,6,4,8,2]=>[7,3,5,1,6,4,2,8]=>{{1,7},{2,3,5,6},{4},{8}}=>{{1},{2,8},{3,4,6,7},{5}}
[1,7,5,4,8,6,3,2]=>[7,5,4,1,8,3,2,6]=>{{1,7},{2,5,8},{3,4},{6}}=>{{1,4,7},{2,8},{3},{5,6}}
[3,5,2,4,8,1,6,7]=>[3,5,6,2,4,8,1,7]=>{{1,3,6,8},{2,5},{4},{7}}=>{{1,3,6,8},{2},{4,7},{5}}
[7,2,3,5,4,8,6,1]=>[7,5,2,8,3,4,6,1]=>{{1,7},{2,5},{3},{4,8},{6}}=>{{1,5},{2,8},{3},{4,7},{6}}
[4,3,6,1,2,7,5,8]=>[4,6,1,7,8,3,5,2]=>{{1,4,7},{2,6},{3},{5,8}}=>{{1,4},{2,5,8},{3,7},{6}}
[3,5,7,1,8,2,6,4]=>[7,3,5,1,6,2,4,8]=>{{1,7},{2,3,5,6},{4},{8}}=>{{1},{2,8},{3,4,6,7},{5}}
[1,6,7,5,3,4,8,2]=>[6,1,5,7,3,2,4,8]=>{{1,6},{2},{3,5},{4,7},{8}}=>{{1},{2,5},{3,8},{4,6},{7}}
[1,6,7,5,8,2,3,4]=>[6,7,8,1,5,2,3,4]=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}
[1,6,3,7,8,2,4,5]=>[6,7,8,1,3,4,2,5]=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}
[5,1,8,3,6,4,7,2]=>[8,1,5,3,6,2,7,4]=>{{1,8},{2},{3,5,6},{4},{7}}=>{{1,8},{2},{3,4,6},{5},{7}}
[4,7,6,8,5,1,3,2]=>[7,4,6,5,1,3,2,8]=>{{1,7},{2,4,5},{3,6},{8}}=>{{1},{2,8},{3,6},{4,5,7}}
[5,2,8,3,7,1,6,4]=>[8,5,7,2,3,1,6,4]=>{{1,8},{2,5},{3,7},{4},{6}}=>{{1,8},{2,6},{3},{4,7},{5}}
[5,6,8,3,1,7,4,2]=>[8,5,3,6,4,1,2,7]=>{{1,8},{2,5},{3},{4,6},{7}}=>{{1,8},{2},{3,5},{4,7},{6}}
[5,3,8,1,7,2,6,4]=>[8,1,5,3,7,2,6,4]=>{{1,8},{2},{3,5,7},{4},{6}}=>{{1,8},{2,4,6},{3},{5},{7}}
[7,6,3,1,4,2,5,8]=>[3,4,7,1,8,6,5,2]=>{{1,3,7},{2,4},{5,8},{6}}=>{{1,4},{2,6,8},{3},{5,7}}
[6,3,1,8,7,5,2,4]=>[1,8,6,3,2,7,5,4]=>{{1},{2,8},{3,6,7},{4},{5}}=>{{1,7},{2,3,6},{4},{5},{8}}
[1,8,2,7,5,3,6,4]=>[5,1,8,7,2,6,3,4]=>{{1,5},{2},{3,8},{4,7},{6}}=>{{1,6},{2,5},{3},{4,8},{7}}
[7,5,2,1,6,4,8,3]=>[5,2,7,1,8,6,4,3]=>{{1,5,8},{2},{3,7},{4},{6}}=>{{1,4,8},{2,6},{3},{5},{7}}
[8,2,6,1,5,4,7,3]=>[8,2,6,5,7,1,4,3]=>{{1,8},{2},{3,6},{4,5,7}}=>{{1,8},{2,4,5},{3,6},{7}}
[5,2,7,1,3,6,4,8]=>[2,5,3,7,8,1,6,4]=>{{1,2,5,8},{3},{4,7},{6}}=>{{1,4,7,8},{2,5},{3},{6}}
[8,4,1,6,2,3,7,5]=>[4,1,2,6,3,8,7,5]=>{{1,4,6,8},{2},{3},{5},{7}}=>{{1,3,5,8},{2},{4},{6},{7}}
[8,3,2,1,5,7,6,4]=>[3,2,1,5,8,7,6,4]=>{{1,3},{2},{4,5,8},{6,7}}=>{{1,4,5},{2,3},{6,8},{7}}
[8,1,5,4,7,2,6,3]=>[5,4,8,1,7,2,6,3]=>{{1,5,7},{2,4},{3,8},{6}}=>{{1,6},{2,4,8},{3},{5,7}}
[4,7,2,8,5,6,3,1]=>[7,4,2,5,1,8,3,6]=>{{1,7},{2,4,5},{3},{6,8}}=>{{1,3},{2,8},{4,5,7},{6}}
[6,3,7,1,2,8,5,4]=>[6,3,1,7,8,2,5,4]=>{{1,6},{2,3},{4,7},{5,8}}=>{{1,4},{2,5},{3,8},{6,7}}
[3,5,4,1,6,2,7,8]=>[3,5,6,1,7,4,2,8]=>{{1,3,6},{2,5,7},{4},{8}}=>{{1},{2,4,7},{3,6,8},{5}}
[1,5,8,4,7,6,2,3]=>[5,8,7,4,6,1,2,3]=>{{1,5,6},{2,8},{3,7},{4}}=>{{1,7},{2,6},{3,4,8},{5}}
[3,1,6,5,8,4,7,2]=>[6,3,5,1,4,2,8,7]=>{{1,6},{2,3,5},{4},{7,8}}=>{{1,2},{3,8},{4,6,7},{5}}
[3,2,6,5,8,4,7,1]=>[6,3,5,2,4,1,8,7]=>{{1,6},{2,3,5},{4},{7,8}}=>{{1,2},{3,8},{4,6,7},{5}}
[5,1,6,4,8,3,7,2]=>[5,4,6,1,3,2,8,7]=>{{1,5},{2,4},{3,6},{7,8}}=>{{1,2},{3,6},{4,8},{5,7}}
[5,2,6,4,8,1,7,3]=>[5,2,6,1,4,3,8,7]=>{{1,5},{2},{3,6},{4},{7,8}}=>{{1,2},{3,6},{4,8},{5},{7}}
[4,3,7,1,6,2,8,5]=>[4,1,7,3,8,2,6,5]=>{{1,4},{2},{3,7},{5,8},{6}}=>{{1,4},{2,6},{3},{5,8},{7}}
[5,4,8,2,6,3,7,1]=>[5,4,6,2,8,1,7,3]=>{{1,5,8},{2,4},{3,6},{7}}=>{{1,4,8},{2},{3,6},{5,7}}
[5,4,8,1,6,3,7,2]=>[5,4,6,3,8,1,7,2]=>{{1,5,8},{2,4},{3,6},{7}}=>{{1,4,8},{2},{3,6},{5,7}}
[4,2,7,3,8,5,6,1]=>[4,2,3,1,7,5,8,6]=>{{1,4},{2},{3},{5,7,8},{6}}=>{{1,2,4},{3},{5,8},{6},{7}}
[7,4,5,1,6,2,8,3]=>[4,1,5,2,7,6,8,3]=>{{1,4},{2},{3,5,7,8},{6}}=>{{1,2,4,6},{3},{5,8},{7}}
[2,4,6,8,1,7,5,3]=>[8,6,2,4,1,3,5,7]=>{{1,8},{2,6},{3},{4},{5},{7}}=>{{1,8},{2},{3,7},{4},{5},{6}}
[6,1,7,2,3,5,8,4]=>[6,1,2,5,7,3,8,4]=>{{1,6},{2},{3},{4,5,7,8}}=>{{1,2,4,5},{3,8},{6},{7}}
[1,6,8,2,4,5,7,3]=>[6,1,2,4,8,3,5,7]=>{{1,6},{2},{3},{4},{5,8},{7}}=>{{1,4},{2},{3,8},{5},{6},{7}}
[7,1,6,2,3,5,8,4]=>[7,1,2,3,6,5,8,4]=>{{1,7,8},{2},{3},{4},{5,6}}=>{{1,2,8},{3,4},{5},{6},{7}}
[8,1,6,2,3,5,7,4]=>[8,1,2,3,6,5,7,4]=>{{1,8},{2},{3},{4},{5,6},{7}}=>{{1,8},{2},{3,4},{5},{6},{7}}
[8,1,7,2,3,5,6,4]=>[8,1,2,3,7,5,6,4]=>{{1,8},{2},{3},{4},{5,7},{6}}=>{{1,8},{2,4},{3},{5},{6},{7}}
[8,7,1,2,3,4,6,5]=>[8,1,2,3,4,7,6,5]=>{{1,8},{2},{3},{4},{5},{6,7}}=>{{1,8},{2,3},{4},{5},{6},{7}}
[2,3,4,6,8,5,7,1]=>[6,2,8,1,3,4,5,7]=>{{1,6},{2},{3,8},{4},{5},{7}}=>{{1,6},{2},{3,8},{4},{5},{7}}
[5,8,3,1,4,2,6,7]=>[3,5,6,4,8,7,1,2]=>{{1,3,6,7},{2,5,8},{4}}=>{{1,4,7},{2,3,6,8},{5}}
[4,2,8,7,1,5,3,6]=>[4,8,5,7,2,1,6,3]=>{{1,4,7},{2,8},{3,5},{6}}=>{{1,7},{2,5,8},{3},{4,6}}
[1,6,7,8,9,2,3,4,5]=>[6,7,8,9,1,2,3,4,5]=>{{1,6},{2,7},{3,8},{4,9},{5}}=>{{1,6},{2,7},{3,8},{4,9},{5}}
[8,6,2,3,5,1,4,7]=>[2,3,8,1,6,7,5,4]=>{{1,2,3,8},{4},{5,6,7}}=>{{1,6,7,8},{2,3,4},{5}}
[8,2,7,1,4,5,6,3]=>[8,2,4,5,7,1,6,3]=>{{1,8},{2},{3,4,5,7},{6}}=>{{1,8},{2,4,5,6},{3},{7}}
[3,8,2,4,7,6,5,1]=>[8,7,3,2,4,6,1,5]=>{{1,8},{2,7},{3},{4},{5},{6}}=>{{1,8},{2,7},{3},{4},{5},{6}}
[2,8,3,7,4,6,5,1]=>[8,7,2,6,3,4,1,5]=>{{1,8},{2,7},{3},{4,6},{5}}=>{{1,8},{2,7},{3,5},{4},{6}}
[4,8,2,1,7,6,5,3]=>[8,7,4,2,6,5,1,3]=>{{1,8},{2,7},{3,4},{5,6}}=>{{1,8},{2,7},{3,4},{5,6}}
[5,8,1,3,7,6,2,4]=>[5,8,7,1,3,6,2,4]=>{{1,5},{2,8},{3,7},{4},{6}}=>{{1,7},{2,6},{3},{4,8},{5}}
[8,1,4,3,7,6,5,2]=>[8,7,4,1,6,3,5,2]=>{{1,8},{2,7},{3,4},{5,6}}=>{{1,8},{2,7},{3,4},{5,6}}
[4,3,8,1,7,6,5,2]=>[8,7,4,3,6,1,5,2]=>{{1,8},{2,7},{3,4},{5,6}}=>{{1,8},{2,7},{3,4},{5,6}}
[1,5,4,8,2,3,7,6]=>[5,1,4,8,2,7,3,6]=>{{1,5},{2},{3,4,8},{6,7}}=>{{1,5,6},{2,3},{4,8},{7}}
[1,7,6,2,5,8,4,3]=>[7,6,1,2,5,4,3,8]=>{{1,7},{2,6},{3},{4},{5},{8}}=>{{1},{2,8},{3,7},{4},{5},{6}}
[1,6,2,3,5,8,7,4]=>[6,5,1,2,3,8,4,7]=>{{1,6,8},{2,5},{3},{4},{7}}=>{{1,3,8},{2},{4,7},{5},{6}}
[4,2,6,1,5,3,8,7]=>[4,2,6,5,8,1,7,3]=>{{1,4,5,8},{2},{3,6},{7}}=>{{1,4,5,8},{2},{3,6},{7}}
[8,1,7,5,2,3,4,6]=>[1,2,3,8,7,5,6,4]=>{{1},{2},{3},{4,8},{5,7},{6}}=>{{1,5},{2,4},{3},{6},{7},{8}}
[8,6,3,1,4,2,5,7]=>[3,4,6,1,8,7,5,2]=>{{1,3,6,7},{2,4},{5,8}}=>{{1,4},{2,3,6,8},{5,7}}
[4,5,1,6,2,8,7,3]=>[8,4,1,5,2,6,3,7]=>{{1,8},{2,4,5},{3},{6},{7}}=>{{1,8},{2},{3},{4,5,7},{6}}
[2,1,7,5,8,6,3,4]=>[7,8,2,1,5,3,6,4]=>{{1,7},{2,8},{3},{4},{5},{6}}=>{{1,7},{2,8},{3},{4},{5},{6}}
[4,7,3,8,6,5,2,1]=>[7,4,3,2,1,6,5,8]=>{{1,7},{2,4},{3},{5},{6},{8}}=>{{1},{2,8},{3},{4},{5,7},{6}}
[2,7,1,8,4,3,5,6]=>[2,4,7,5,1,8,3,6]=>{{1,2,4,5},{3,7},{6,8}}=>{{1,3},{2,6},{4,5,7,8}}
[1,6,8,3,2,5,4,7]=>[1,6,3,8,5,2,4,7]=>{{1},{2,6},{3},{4,8},{5},{7}}=>{{1,5},{2},{3,7},{4},{6},{8}}
[2,3,7,6,5,1,8,4]=>[2,1,7,6,5,3,4,8]=>{{1,2},{3,7},{4,6},{5},{8}}=>{{1},{2,6},{3,5},{4},{7,8}}
[3,1,2,4,8,5,7,6]=>[8,1,3,2,4,5,7,6]=>{{1,8},{2},{3},{4},{5},{6},{7}}=>{{1,8},{2},{3},{4},{5},{6},{7}}
[7,2,5,4,8,1,6,3]=>[7,2,8,1,5,4,6,3]=>{{1,7},{2},{3,8},{4},{5},{6}}=>{{1,6},{2,8},{3},{4},{5},{7}}
[8,4,7,6,3,5,1,2]=>[4,8,3,7,6,1,5,2]=>{{1,4,7},{2,8},{3},{5,6}}=>{{1,7},{2,5,8},{3,4},{6}}
[8,2,3,7,1,4,5,6]=>[2,3,4,8,1,5,7,6]=>{{1,2,3,4,8},{5},{6},{7}}=>{{1,5,6,7,8},{2},{3},{4}}
[2,8,3,7,1,4,5,6]=>[2,3,4,8,1,7,5,6]=>{{1,2,3,4,8},{5},{6,7}}=>{{1,5,6,7,8},{2,3},{4}}
[6,4,1,3,8,7,5,2]=>[6,4,3,1,2,8,7,5]=>{{1,6,8},{2,4},{3},{5},{7}}=>{{1,3,8},{2},{4},{5,7},{6}}
[4,2,8,1,5,7,6,3]=>[8,4,2,5,7,1,6,3]=>{{1,8},{2,4,5,7},{3},{6}}=>{{1,8},{2,4,5,7},{3},{6}}
[5,7,2,6,3,4,8,1]=>[7,2,5,6,3,8,1,4]=>{{1,7},{2},{3,5},{4,6,8}}=>{{1,3,5},{2,8},{4,6},{7}}
[2,4,7,8,5,3,1,6]=>[7,8,4,2,1,3,5,6]=>{{1,7},{2,8},{3,4},{5},{6}}=>{{1,7},{2,8},{3},{4},{5,6}}
[6,5,8,7,3,2,4,1]=>[6,5,8,3,2,1,7,4]=>{{1,6},{2,5},{3,8},{4},{7}}=>{{1,6},{2},{3,8},{4,7},{5}}
[8,7,5,3,2,6,4,1]=>[8,5,3,7,6,4,2,1]=>{{1,8},{2,5,6},{3},{4,7}}=>{{1,8},{2,5},{3,4,7},{6}}
[6,1,2,7,5,8,3,4]=>[6,7,1,5,2,3,8,4]=>{{1,6},{2,7,8},{3},{4,5}}=>{{1,2,7},{3,8},{4,5},{6}}
[2,8,3,1,6,5,7,4]=>[8,2,3,1,6,5,4,7]=>{{1,8},{2},{3},{4},{5,6},{7}}=>{{1,8},{2},{3,4},{5},{6},{7}}
[2,5,8,3,7,1,6,4]=>[8,5,7,2,6,1,3,4]=>{{1,8},{2,5,6},{3,7},{4}}=>{{1,8},{2,6},{3,4,7},{5}}
[2,4,6,1,8,7,5,3]=>[8,6,2,1,4,3,5,7]=>{{1,8},{2,6},{3},{4},{5},{7}}=>{{1,8},{2},{3,7},{4},{5},{6}}
[2,6,1,8,7,5,3,4]=>[2,8,6,5,1,7,3,4]=>{{1,2,8},{3,6,7},{4,5}}=>{{1,7,8},{2,3,6},{4,5}}
[1,6,2,8,7,5,3,4]=>[1,8,6,5,2,7,3,4]=>{{1},{2,8},{3,6,7},{4,5}}=>{{1,7},{2,3,6},{4,5},{8}}
[2,3,6,8,7,5,1,4]=>[2,8,6,5,1,3,4,7]=>{{1,2,8},{3,6},{4,5},{7}}=>{{1,7,8},{2},{3,6},{4,5}}
[5,3,8,6,2,7,1,4]=>[5,8,3,6,2,1,7,4]=>{{1,5},{2,8},{3},{4,6},{7}}=>{{1,7},{2},{3,5},{4,8},{6}}
[6,4,7,3,2,5,1,8]=>[6,7,4,8,3,2,5,1]=>{{1,6},{2,7},{3,4,8},{5}}=>{{1,5,6},{2,7},{3,8},{4}}
[5,7,8,4,6,3,2,1]=>[5,4,3,2,7,1,6,8]=>{{1,5,7},{2,4},{3},{6},{8}}=>{{1},{2,4,8},{3},{5,7},{6}}
[4,3,7,2,1,8,6,5]=>[4,3,2,7,6,5,8,1]=>{{1,4,7,8},{2,3},{5,6}}=>{{1,2,5,8},{3,4},{6,7}}
[4,6,2,3,1,5,7,8]=>[2,4,6,7,3,8,1,5]=>{{1,2,4,7},{3,6,8},{5}}=>{{1,3,6},{2,5,7,8},{4}}
[4,5,7,2,3,1,8,6]=>[4,2,5,3,7,1,6,8]=>{{1,4},{2},{3,5,7},{6},{8}}=>{{1},{2,4,6},{3},{5,8},{7}}
[4,7,6,2,3,1,8,5]=>[4,2,7,6,8,3,1,5]=>{{1,4,6},{2},{3,7},{5,8}}=>{{1,4},{2,6},{3,5,8},{7}}
[4,8,7,1,2,5,6,3]=>[8,1,4,5,7,6,2,3]=>{{1,8},{2},{3,4,5,7},{6}}=>{{1,8},{2,4,5,6},{3},{7}}
[3,8,6,7,5,2,1,4]=>[3,8,6,5,2,4,1,7]=>{{1,3,6},{2,8},{4,5},{7}}=>{{1,7},{2},{3,6,8},{4,5}}
[1,6,5,7,8,2,3,4]=>[6,7,8,1,2,5,3,4]=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}
[6,7,2,4,1,3,8,5]=>[6,2,7,8,4,5,1,3]=>{{1,6},{2},{3,7},{4,8},{5}}=>{{1,5},{2,6},{3,8},{4},{7}}
[5,3,6,7,8,1,4,2]=>[5,3,6,1,4,7,8,2]=>{{1,5},{2,3,6,7,8},{4}}=>{{1,2,3,6,7},{4,8},{5}}
[5,4,8,6,7,2,3,1]=>[5,4,8,2,6,1,7,3]=>{{1,5,6},{2,4},{3,8},{7}}=>{{1,6},{2},{3,4,8},{5,7}}
[5,4,8,6,3,1,2,7]=>[5,6,8,4,3,1,7,2]=>{{1,5},{2,6},{3,8},{4},{7}}=>{{1,6},{2},{3,7},{4,8},{5}}
[5,4,8,7,2,1,3,6]=>[2,5,8,4,3,1,7,6]=>{{1,2,5},{3,8},{4},{6},{7}}=>{{1,6},{2},{3},{4,7,8},{5}}
[8,2,6,5,7,3,4,1]=>[8,6,7,2,5,3,4,1]=>{{1,8},{2,6},{3,7},{4},{5}}=>{{1,8},{2,6},{3,7},{4},{5}}
[4,2,5,1,3,8,7,6]=>[4,2,1,5,8,3,7,6]=>{{1,4,5,8},{2},{3},{6},{7}}=>{{1,4,5,8},{2},{3},{6},{7}}
[4,3,5,1,2,7,6,8]=>[4,5,1,7,8,3,6,2]=>{{1,4,7},{2,5,8},{3},{6}}=>{{1,4,7},{2,5,8},{3},{6}}
[7,1,2,6,5,4,3,8]=>[1,7,6,5,2,4,8,3]=>{{1},{2,7,8},{3,6},{4,5}}=>{{1,2,7},{3,6},{4,5},{8}}
[8,2,1,5,6,3,7,4]=>[2,1,5,3,6,8,7,4]=>{{1,2},{3,5,6,8},{4},{7}}=>{{1,3,4,6},{2},{5},{7,8}}
[4,3,8,5,7,2,6,1]=>[4,3,8,2,5,1,7,6]=>{{1,4},{2,3,8},{5},{6},{7}}=>{{1,6,7},{2},{3},{4},{5,8}}
[5,2,3,1,4,8,6,7]=>[2,5,3,4,8,6,7,1]=>{{1,2,5,8},{3},{4},{6},{7}}=>{{1,4,7,8},{2},{3},{5},{6}}
[1,4,2,6,5,8,7,3]=>[6,4,1,5,2,8,3,7]=>{{1,6,8},{2,4,5},{3},{7}}=>{{1,3,8},{2},{4,5,7},{6}}
[1,3,2,6,4,8,7,5]=>[8,3,1,6,2,7,4,5]=>{{1,8},{2,3},{4,6,7},{5}}=>{{1,8},{2,3,5},{4},{6,7}}
[1,4,2,5,3,8,7,6]=>[8,4,1,5,2,7,3,6]=>{{1,8},{2,4,5},{3},{6,7}}=>{{1,8},{2,3},{4,5,7},{6}}
[8,6,5,4,1,3,2,7]=>[1,8,6,7,5,4,3,2]=>{{1},{2,8},{3,6},{4,7},{5}}=>{{1,7},{2,5},{3,6},{4},{8}}
[8,3,5,7,4,1,2,6]=>[3,5,8,7,1,4,6,2]=>{{1,3,8},{2,5},{4,7},{6}}=>{{1,6,8},{2,5},{3},{4,7}}
[4,8,5,3,1,2,7,6]=>[4,1,5,8,7,3,2,6]=>{{1,4,8},{2},{3,5,7},{6}}=>{{1,5,8},{2,4,6},{3},{7}}
[2,3,8,7,5,6,1,4]=>[2,8,1,7,5,3,4,6]=>{{1,2,8},{3},{4,7},{5},{6}}=>{{1,7,8},{2,5},{3},{4},{6}}
[5,2,7,8,4,1,3,6]=>[5,7,8,2,1,4,6,3]=>{{1,5},{2,7},{3,8},{4},{6}}=>{{1,6},{2,7},{3},{4,8},{5}}
[6,2,7,4,8,5,3,1]=>[6,4,2,1,7,3,8,5]=>{{1,6},{2,4},{3},{5,7,8}}=>{{1,2,4},{3,8},{5,7},{6}}
[1,6,8,3,7,4,2,5]=>[1,8,6,3,7,2,4,5]=>{{1},{2,8},{3,6},{4},{5,7}}=>{{1,7},{2,4},{3,6},{5},{8}}
[4,6,3,8,7,5,2,1]=>[8,4,3,2,1,6,5,7]=>{{1,8},{2,4},{3},{5},{6},{7}}=>{{1,8},{2},{3},{4},{5,7},{6}}
[6,8,4,2,1,7,5,3]=>[6,4,2,8,7,5,1,3]=>{{1,6},{2,4,8},{3},{5,7}}=>{{1,5,7},{2,4},{3,8},{6}}
[5,2,6,4,3,8,1,7]=>[5,6,2,4,3,1,8,7]=>{{1,5},{2,6},{3},{4},{7,8}}=>{{1,2},{3,7},{4,8},{5},{6}}
[1,5,6,3,8,2,4,7]=>[5,6,8,1,3,2,4,7]=>{{1,5},{2,6},{3,8},{4},{7}}=>{{1,6},{2},{3,7},{4,8},{5}}
[5,2,4,7,3,8,6,1]=>[5,4,2,7,3,6,8,1]=>{{1,5},{2,4,7,8},{3},{6}}=>{{1,2,5,7},{3},{4,8},{6}}
[3,2,6,1,5,8,4,7]=>[3,6,2,5,8,1,7,4]=>{{1,3},{2,6},{4,5,8},{7}}=>{{1,4,5},{2},{3,7},{6,8}}
[7,2,8,1,4,3,6,5]=>[2,1,7,4,8,3,6,5]=>{{1,2},{3,7},{4},{5,8},{6}}=>{{1,4},{2,6},{3},{5},{7,8}}
[1,3,4,5,6,7,9,8,2]=>[9,3,1,2,4,5,6,7,8]=>{{1,9},{2,3},{4},{5},{6},{7},{8}}=>{{1,9},{2},{3},{4},{5},{6},{7,8}}
[1,2,3,7,6,4,5,8]=>[1,2,7,6,3,4,5,8]=>{{1},{2},{3,7},{4,6},{5},{8}}=>{{1},{2,6},{3,5},{4},{7},{8}}
[2,1,5,8,6,3,7,4]=>[2,1,8,5,3,6,7,4]=>{{1,2},{3,8},{4,5},{6},{7}}=>{{1,6},{2},{3},{4,5},{7,8}}
[2,6,3,5,8,1,7,4]=>[6,2,8,1,3,5,4,7]=>{{1,6},{2},{3,8},{4},{5},{7}}=>{{1,6},{2},{3,8},{4},{5},{7}}
[2,4,6,8,5,3,7,1]=>[6,4,8,2,1,3,5,7]=>{{1,6},{2,4},{3,8},{5},{7}}=>{{1,6},{2},{3,8},{4},{5,7}}
[2,4,8,1,7,6,5,3]=>[8,7,6,2,4,1,3,5]=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
[3,6,8,5,4,2,7,1]=>[6,5,8,3,2,1,4,7]=>{{1,6},{2,5},{3,8},{4},{7}}=>{{1,6},{2},{3,8},{4,7},{5}}
[5,3,6,4,8,2,1,7]=>[5,6,3,2,4,1,8,7]=>{{1,5},{2,6},{3},{4},{7,8}}=>{{1,2},{3,7},{4,8},{5},{6}}
[5,7,3,2,6,4,1,8]=>[5,7,3,2,8,6,1,4]=>{{1,5,8},{2,7},{3},{4},{6}}=>{{1,4,8},{2,7},{3},{5},{6}}
[6,4,7,1,3,2,8,5]=>[6,1,7,4,8,3,5,2]=>{{1,6},{2},{3,7},{4},{5,8}}=>{{1,4},{2,6},{3,8},{5},{7}}
[5,1,3,8,7,2,6,4]=>[8,5,7,3,1,2,6,4]=>{{1,8},{2,5},{3,7},{4},{6}}=>{{1,8},{2,6},{3},{4,7},{5}}
[7,1,5,2,4,8,3,6]=>[7,8,1,2,5,4,6,3]=>{{1,7},{2,8},{3},{4},{5},{6}}=>{{1,7},{2,8},{3},{4},{5},{6}}
[7,2,5,4,1,3,8,6]=>[2,1,7,8,5,4,6,3]=>{{1,2},{3,7},{4,8},{5},{6}}=>{{1,5},{2,6},{3},{4},{7,8}}
[2,3,1,9,4,5,6,7,8]=>[2,3,4,5,6,1,9,7,8]=>{{1,2,3,4,5,6},{7,9},{8}}=>{{1,3},{2},{4,5,6,7,8,9}}
[5,7,6,8,1,2,4,3]=>[7,5,6,8,1,4,2,3]=>{{1,7},{2,5},{3,6},{4,8}}=>{{1,5},{2,8},{3,6},{4,7}}
[7,8,5,3,6,2,4,1]=>[7,5,8,3,6,2,1,4]=>{{1,7},{2,5,6},{3,8},{4}}=>{{1,6},{2,8},{3,4,7},{5}}
[8,1,5,2,3,7,6,4]=>[8,5,1,2,7,3,6,4]=>{{1,8},{2,5,7},{3},{4},{6}}=>{{1,8},{2,4,7},{3},{5},{6}}
[4,5,8,3,7,2,1,6]=>[4,8,3,2,7,1,5,6]=>{{1,4},{2,8},{3},{5,7},{6}}=>{{1,7},{2,4},{3},{5,8},{6}}
[5,3,6,8,2,7,1,4]=>[5,8,3,6,2,4,7,1]=>{{1,5},{2,8},{3},{4,6},{7}}=>{{1,7},{2},{3,5},{4,8},{6}}
[6,3,7,4,8,2,1,5]=>[6,7,3,2,4,1,8,5]=>{{1,6},{2,7,8},{3},{4},{5}}=>{{1,2,7},{3,8},{4},{5},{6}}
[5,8,4,1,6,3,2,7]=>[5,6,4,3,8,7,1,2]=>{{1,5,8},{2,6,7},{3,4}}=>{{1,4,8},{2,3,7},{5,6}}
[3,4,7,5,8,2,1,6]=>[7,8,3,2,4,1,5,6]=>{{1,7},{2,8},{3},{4},{5},{6}}=>{{1,7},{2,8},{3},{4},{5},{6}}
[1,4,7,3,2,6,8,5]=>[4,1,3,7,6,2,5,8]=>{{1,4,7},{2},{3},{5,6},{8}}=>{{1},{2,5,8},{3,4},{6},{7}}
[1,5,7,3,6,2,8,4]=>[5,1,7,3,6,2,4,8]=>{{1,5,6},{2},{3,7},{4},{8}}=>{{1},{2,6},{3,4,8},{5},{7}}
[1,5,3,7,6,8,2,4]=>[5,7,1,3,2,6,4,8]=>{{1,5},{2,7},{3},{4},{6},{8}}=>{{1},{2,7},{3},{4,8},{5},{6}}
[1,6,4,5,7,8,2,3]=>[4,6,1,2,5,7,3,8]=>{{1,4},{2,6,7},{3},{5},{8}}=>{{1},{2,3,7},{4},{5,8},{6}}
[5,3,2,8,7,6,4,1]=>[8,5,3,2,1,7,6,4]=>{{1,8},{2,5},{3},{4},{6,7}}=>{{1,8},{2,3},{4,7},{5},{6}}
[5,3,8,2,7,6,1,4]=>[5,8,3,2,7,1,6,4]=>{{1,5,7},{2,8},{3},{4},{6}}=>{{1,7},{2,4,8},{3},{5},{6}}
[4,3,8,7,2,6,5,1]=>[8,4,3,7,2,1,6,5]=>{{1,8},{2,4,7},{3},{5},{6}}=>{{1,8},{2,5,7},{3},{4},{6}}
[7,8,5,2,1,6,4,3]=>[7,5,2,8,6,4,1,3]=>{{1,7},{2,5,6},{3},{4,8}}=>{{1,5},{2,8},{3,4,7},{6}}
[7,6,4,8,1,2,5,3]=>[7,1,4,8,2,6,5,3]=>{{1,7},{2},{3,4,8},{5},{6}}=>{{1,5,6},{2,8},{3},{4},{7}}
[7,5,4,8,3,2,6,1]=>[7,5,8,4,3,6,2,1]=>{{1,7},{2,5},{3,8},{4},{6}}=>{{1,6},{2,8},{3},{4,7},{5}}
[2,4,5,8,7,3,1,6]=>[4,8,7,2,1,3,5,6]=>{{1,4},{2,8},{3,7},{5},{6}}=>{{1,7},{2,6},{3},{4},{5,8}}
[4,3,7,5,6,2,8,1]=>[4,3,5,2,7,1,8,6]=>{{1,4},{2,3,5,7,8},{6}}=>{{1,2,4,6,7},{3},{5,8}}
[2,1,5,8,6,7,4,3]=>[8,5,2,4,1,6,7,3]=>{{1,8},{2,5},{3},{4},{6},{7}}=>{{1,8},{2},{3},{4,7},{5},{6}}
[5,1,4,6,7,2,8,3]=>[5,1,6,2,4,7,8,3]=>{{1,5},{2},{3,6,7,8},{4}}=>{{1,2,3,6},{4,8},{5},{7}}
[6,1,4,7,2,3,8,5]=>[6,1,7,8,2,4,5,3]=>{{1,6},{2},{3,7},{4,8},{5}}=>{{1,5},{2,6},{3,8},{4},{7}}
[4,1,2,7,5,8,3,6]=>[4,7,1,5,2,3,8,6]=>{{1,4,5},{2,7,8},{3},{6}}=>{{1,2,7},{3},{4,5,8},{6}}
[8,2,3,4,7,1,5,6]=>[2,3,8,1,4,5,7,6]=>{{1,2,3,8},{4},{5},{6},{7}}=>{{1,6,7,8},{2},{3},{4},{5}}
[8,3,5,7,6,1,4,2]=>[8,3,7,5,1,4,6,2]=>{{1,8},{2,3,7},{4,5},{6}}=>{{1,8},{2,6,7},{3},{4,5}}
[8,7,3,6,2,1,5,4]=>[3,2,8,7,1,6,5,4]=>{{1,3,8},{2},{4,7},{5},{6}}=>{{1,6,8},{2,5},{3},{4},{7}}
[8,7,4,6,5,2,1,3]=>[4,8,7,6,2,5,3,1]=>{{1,4,6},{2,8},{3,7},{5}}=>{{1,7},{2,6},{3,5,8},{4}}
[8,4,3,7,6,5,1,2]=>[4,8,7,3,1,6,5,2]=>{{1,4},{2,8},{3,7},{5},{6}}=>{{1,7},{2,6},{3},{4},{5,8}}
[8,5,2,3,7,4,1,6]=>[2,8,5,3,4,7,6,1]=>{{1,2,8},{3,5},{4},{6,7}}=>{{1,7,8},{2,3},{4,6},{5}}
[1,6,5,4,8,3,2,7]=>[6,8,5,1,4,3,2,7]=>{{1,6},{2,8},{3,5},{4},{7}}=>{{1,7},{2},{3,8},{4,6},{5}}
[1,3,7,6,4,8,5,2]=>[7,6,1,8,3,2,4,5]=>{{1,7},{2,6},{3},{4,8},{5}}=>{{1,5},{2,8},{3,7},{4},{6}}
[8,4,1,7,6,3,2,5]=>[1,8,7,4,3,6,5,2]=>{{1},{2,8},{3,7},{4},{5},{6}}=>{{1,7},{2,6},{3},{4},{5},{8}}
[7,4,1,6,5,3,2,8]=>[4,7,6,5,1,8,3,2]=>{{1,4,5},{2,7},{3,6,8}}=>{{1,3,6},{2,7},{4,5,8}}
[3,1,6,4,5,8,2,7]=>[3,6,1,4,5,2,8,7]=>{{1,3},{2,6},{4},{5},{7,8}}=>{{1,2},{3,7},{4},{5},{6,8}}
[5,8,3,7,6,4,1,2]=>[5,8,7,6,3,4,1,2]=>{{1,5},{2,8},{3,7},{4,6}}=>{{1,7},{2,6},{3,5},{4,8}}
[6,3,5,7,1,4,2,8]=>[3,6,5,7,1,4,8,2]=>{{1,3,5},{2,6},{4,7,8}}=>{{1,2,5},{3,7},{4,6,8}}
[6,7,4,1,3,2,8,5]=>[6,1,7,4,8,3,2,5]=>{{1,6},{2},{3,7},{4},{5,8}}=>{{1,4},{2,6},{3,8},{5},{7}}
[1,5,6,3,7,8,2,4]=>[5,6,1,3,4,2,7,8]=>{{1,5},{2,6},{3},{4},{7},{8}}=>{{1},{2},{3,7},{4,8},{5},{6}}
[6,3,7,5,8,2,4,1]=>[6,3,7,2,5,1,8,4]=>{{1,6},{2,3,7,8},{4},{5}}=>{{1,2,6,7},{3,8},{4},{5}}
[3,8,1,7,5,2,4,6]=>[1,3,8,7,5,6,2,4]=>{{1},{2,3,8},{4,7},{5},{6}}=>{{1,6,7},{2,5},{3},{4},{8}}
[8,1,3,7,6,5,4,2]=>[8,7,6,5,1,3,4,2]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,8},{2,7},{3,6},{4,5}}
[5,4,7,8,2,1,6,3]=>[5,4,7,6,2,3,8,1]=>{{1,5},{2,4,6},{3,7,8}}=>{{1,2,6},{3,5,7},{4,8}}
[5,7,4,1,6,2,8,3]=>[5,1,7,4,8,6,2,3]=>{{1,5,8},{2},{3,7},{4},{6}}=>{{1,4,8},{2,6},{3},{5},{7}}
[8,5,6,1,7,3,2,4]=>[5,8,6,1,7,3,4,2]=>{{1,5,7},{2,8},{3,6},{4}}=>{{1,7},{2,4,8},{3,6},{5}}
[7,1,2,6,3,8,5,4]=>[7,6,1,8,2,3,5,4]=>{{1,7},{2,6},{3},{4,8},{5}}=>{{1,5},{2,8},{3,7},{4},{6}}
[8,1,2,6,3,7,5,4]=>[8,6,1,7,2,3,5,4]=>{{1,8},{2,6},{3},{4,7},{5}}=>{{1,8},{2,5},{3,7},{4},{6}}
[3,7,6,2,4,8,1,5]=>[3,7,2,6,8,4,1,5]=>{{1,3},{2,7},{4,6},{5,8}}=>{{1,4},{2,7},{3,5},{6,8}}
[4,2,1,5,3,6,7,8]=>[4,5,6,7,2,8,3,1]=>{{1,4,7},{2,5},{3,6,8}}=>{{1,3,6},{2,5,8},{4,7}}
[6,8,3,7,5,2,1,4]=>[6,8,7,3,2,5,1,4]=>{{1,6},{2,8},{3,7},{4},{5}}=>{{1,7},{2,6},{3,8},{4},{5}}
[6,3,2,1,8,7,4,5]=>[3,6,4,2,8,7,5,1]=>{{1,3,4},{2,6,7},{5,8}}=>{{1,4},{2,3,7},{5,6,8}}
[5,8,6,1,2,7,4,3]=>[8,5,1,6,7,4,2,3]=>{{1,8},{2,5,7},{3},{4,6}}=>{{1,8},{2,4,7},{3,5},{6}}
[7,1,6,4,8,3,5,2]=>[7,6,8,1,4,3,5,2]=>{{1,7},{2,6},{3,8},{4},{5}}=>{{1,6},{2,8},{3,7},{4},{5}}
[8,5,2,1,4,3,6,7]=>[2,5,6,1,8,7,4,3]=>{{1,2,5,8},{3,6,7},{4}}=>{{1,4,7,8},{2,3,6},{5}}
[3,8,1,7,4,5,2,6]=>[3,8,4,7,5,6,1,2]=>{{1,3,4,7},{2,8},{5},{6}}=>{{1,7},{2,5,6,8},{3},{4}}
[3,6,5,2,4,7,1,8]=>[3,6,5,7,8,2,1,4]=>{{1,3,5,8},{2,6},{4,7}}=>{{1,4,6,8},{2,5},{3,7}}
[5,2,7,3,4,6,1,8]=>[2,5,3,4,7,1,8,6]=>{{1,2,5,7,8},{3},{4},{6}}=>{{1,2,4,7,8},{3},{5},{6}}
[1,3,5,8,6,4,7,2]=>[8,1,5,3,2,4,6,7]=>{{1,8},{2},{3,5},{4},{6},{7}}=>{{1,8},{2},{3},{4,6},{5},{7}}
[1,3,5,8,6,7,2,4]=>[3,8,1,5,2,4,6,7]=>{{1,3},{2,8},{4,5},{6},{7}}=>{{1,7},{2},{3},{4,5},{6,8}}
[6,1,7,4,8,5,3,2]=>[6,4,3,1,7,2,8,5]=>{{1,6},{2,4},{3},{5,7,8}}=>{{1,2,4},{3,8},{5,7},{6}}
[5,7,4,1,3,6,8,2]=>[5,1,4,7,8,3,2,6]=>{{1,5,8},{2},{3,4,7},{6}}=>{{1,4,8},{2,5,6},{3},{7}}
[7,4,3,1,6,5,8,2]=>[4,3,7,1,8,6,5,2]=>{{1,4},{2,3,7},{5,8},{6}}=>{{1,4},{2,6,7},{3},{5,8}}
[7,8,1,4,6,5,3,2]=>[7,6,4,1,3,8,2,5]=>{{1,7},{2,6,8},{3,4},{5}}=>{{1,3,7},{2,8},{4},{5,6}}
[7,8,6,1,4,5,3,2]=>[7,6,1,4,8,3,2,5]=>{{1,7},{2,6},{3},{4},{5,8}}=>{{1,4},{2,8},{3,7},{5},{6}}
[5,1,7,6,3,4,2,8]=>[1,7,5,6,3,2,8,4]=>{{1},{2,7,8},{3,5},{4,6}}=>{{1,2,7},{3,5},{4,6},{8}}
[6,2,7,3,8,5,4,1]=>[6,5,2,1,7,3,8,4]=>{{1,6},{2,5,7,8},{3},{4}}=>{{1,2,4,7},{3,8},{5},{6}}
[1,2,7,5,3,4,8,6]=>[7,1,2,8,5,3,4,6]=>{{1,7},{2},{3},{4,8},{5},{6}}=>{{1,5},{2,8},{3},{4},{6},{7}}
[7,2,8,3,6,4,5,1]=>[7,2,6,3,4,1,8,5]=>{{1,7,8},{2},{3,6},{4},{5}}=>{{1,2,8},{3,6},{4},{5},{7}}
[6,2,7,8,3,1,4,5]=>[2,6,7,3,1,4,8,5]=>{{1,2,6},{3,7,8},{4},{5}}=>{{1,2,6},{3,7,8},{4},{5}}
[3,7,8,1,2,5,6,4]=>[7,1,3,5,8,2,4,6]=>{{1,7},{2},{3},{4,5,8},{6}}=>{{1,4,5},{2,8},{3},{6},{7}}
[8,2,7,4,5,1,6,3]=>[2,1,8,4,7,5,6,3]=>{{1,2},{3,8},{4},{5,7},{6}}=>{{1,6},{2,4},{3},{5},{7,8}}
[3,8,1,5,7,2,6,4]=>[8,3,7,1,5,6,2,4]=>{{1,8},{2,3,7},{4},{5},{6}}=>{{1,8},{2,6,7},{3},{4},{5}}
[7,1,8,6,4,5,2,3]=>[7,8,1,6,4,2,5,3]=>{{1,7},{2,8},{3},{4,6},{5}}=>{{1,7},{2,8},{3,5},{4},{6}}
[8,7,5,1,4,3,6,2]=>[8,1,7,5,6,4,3,2]=>{{1,8},{2},{3,7},{4,5,6}}=>{{1,8},{2,6},{3,4,5},{7}}
[2,1,6,8,5,3,4,7]=>[2,3,6,5,1,4,8,7]=>{{1,2,3,6},{4,5},{7,8}}=>{{1,2},{3,6,7,8},{4,5}}
[4,5,1,3,8,6,7,2]=>[4,3,5,1,6,8,2,7]=>{{1,4},{2,3,5,6,8},{7}}=>{{1,3,4,6,7},{2},{5,8}}
[6,7,5,3,8,1,2,4]=>[6,7,8,1,5,3,2,4]=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}
[6,2,3,4,7,1,8,5]=>[6,2,7,3,4,5,8,1]=>{{1,6},{2},{3,7,8},{4},{5}}=>{{1,2,6},{3,8},{4},{5},{7}}
[6,3,2,4,7,1,8,5]=>[6,3,7,4,5,8,2,1]=>{{1,6,8},{2,3,7},{4},{5}}=>{{1,3,8},{2,6,7},{4},{5}}
[8,7,3,2,1,4,6,5]=>[3,2,4,8,7,6,5,1]=>{{1,3,4,8},{2},{5,7},{6}}=>{{1,5,6,8},{2,4},{3},{7}}
[2,8,3,5,6,4,1,7]=>[2,8,5,3,4,6,1,7]=>{{1,2,8},{3,5},{4},{6},{7}}=>{{1,7,8},{2},{3},{4,6},{5}}
[2,7,1,4,5,3,8,6]=>[2,1,7,4,5,8,3,6]=>{{1,2},{3,7},{4},{5},{6,8}}=>{{1,3},{2,6},{4},{5},{7,8}}
[6,5,8,7,1,3,2,4]=>[1,6,5,8,3,2,7,4]=>{{1},{2,6},{3,5},{4,8},{7}}=>{{1,5},{2},{3,7},{4,6},{8}}
[5,7,6,8,2,1,4,3]=>[5,2,7,6,1,4,3,8]=>{{1,5},{2},{3,7},{4,6},{8}}=>{{1},{2,6},{3,5},{4,8},{7}}
[1,7,2,5,3,4,8,6]=>[7,1,2,8,3,5,4,6]=>{{1,7},{2},{3},{4,8},{5},{6}}=>{{1,5},{2,8},{3},{4},{6},{7}}
[7,1,5,6,2,3,8,4]=>[5,1,7,8,2,3,6,4]=>{{1,5},{2},{3,7},{4,8},{6}}=>{{1,5},{2,6},{3},{4,8},{7}}
[8,2,1,4,6,7,3,5]=>[2,4,1,3,6,8,7,5]=>{{1,2,4},{3},{5,6,8},{7}}=>{{1,3,4},{2},{5,7,8},{6}}
[3,6,7,5,2,8,1,4]=>[3,6,2,5,4,1,7,8]=>{{1,3},{2,6},{4,5},{7},{8}}=>{{1},{2},{3,7},{4,5},{6,8}}
[7,8,4,1,5,6,2,3]=>[4,7,1,5,8,6,2,3]=>{{1,4,5,8},{2,7},{3},{6}}=>{{1,4,5,8},{2,7},{3},{6}}
[6,3,8,4,7,1,2,5]=>[3,6,8,1,4,2,7,5]=>{{1,3,8},{2,6},{4},{5},{7}}=>{{1,6,8},{2},{3,7},{4},{5}}
[8,3,1,4,7,2,5,6]=>[3,4,5,1,2,8,7,6]=>{{1,3,5},{2,4},{6,8},{7}}=>{{1,3},{2},{4,6,8},{5,7}}
[1,6,4,7,8,2,3,5]=>[6,7,8,1,2,4,3,5]=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}
[1,3,7,8,5,6,2,4]=>[7,8,3,5,1,2,4,6]=>{{1,7},{2,8},{3},{4,5},{6}}=>{{1,7},{2,8},{3},{4,5},{6}}
[6,2,5,1,4,8,3,7]=>[2,6,1,5,8,4,7,3]=>{{1,2,6},{3},{4,5,8},{7}}=>{{1,4,5},{2},{3,7,8},{6}}
[4,2,8,7,3,1,5,6]=>[2,4,8,5,3,1,7,6]=>{{1,2,4,5},{3,8},{6},{7}}=>{{1,6},{2},{3},{4,5,7,8}}
[1,3,4,8,7,2,5,6]=>[1,3,8,7,2,4,5,6]=>{{1},{2,3,8},{4,7},{5},{6}}=>{{1,6,7},{2,5},{3},{4},{8}}
[4,2,6,3,8,5,7,1]=>[4,2,3,1,6,5,8,7]=>{{1,4},{2},{3},{5,6},{7,8}}=>{{1,2},{3,4},{5,8},{6},{7}}
[8,3,5,4,2,7,1,6]=>[5,8,3,7,4,2,6,1]=>{{1,5},{2,8},{3},{4,7},{6}}=>{{1,7},{2,5},{3},{4,8},{6}}
[5,2,4,6,1,3,8,7]=>[2,1,5,8,4,6,7,3]=>{{1,2},{3,5},{4,8},{6},{7}}=>{{1,5},{2},{3},{4,6},{7,8}}
[6,8,3,4,7,5,2,1]=>[8,6,3,2,4,7,1,5]=>{{1,8},{2,6,7},{3},{4},{5}}=>{{1,8},{2,3,7},{4},{5},{6}}
[6,3,8,4,7,1,5,2]=>[8,6,7,3,4,1,5,2]=>{{1,8},{2,6},{3,7},{4},{5}}=>{{1,8},{2,6},{3,7},{4},{5}}
[5,7,2,1,4,3,8,6]=>[5,2,7,4,8,6,1,3]=>{{1,5,8},{2},{3,7},{4},{6}}=>{{1,4,8},{2,6},{3},{5},{7}}
[6,1,5,8,3,7,4,2]=>[6,5,3,8,1,2,7,4]=>{{1,6},{2,5},{3},{4,8},{7}}=>{{1,5},{2},{3,8},{4,7},{6}}
[7,4,8,6,5,3,2,1]=>[7,6,4,3,2,1,8,5]=>{{1,7,8},{2,6},{3,4},{5}}=>{{1,2,8},{3,7},{4},{5,6}}
[6,4,8,2,3,1,7,5]=>[6,2,8,4,7,3,5,1]=>{{1,6},{2},{3,8},{4},{5,7}}=>{{1,6},{2,4},{3,8},{5},{7}}
[7,5,4,8,1,6,2,3]=>[1,7,5,8,2,6,4,3]=>{{1},{2,7},{3,5},{4,8},{6}}=>{{1,5},{2,7},{3},{4,6},{8}}
[5,6,3,4,8,2,7,1]=>[5,3,6,2,4,8,1,7]=>{{1,5},{2,3,6,8},{4},{7}}=>{{1,3,6,7},{2},{4,8},{5}}
[4,7,5,2,3,8,6,1]=>[7,4,2,5,8,3,1,6]=>{{1,7},{2,4,5,8},{3},{6}}=>{{1,4,5,7},{2,8},{3},{6}}
[2,4,6,3,8,7,5,1]=>[8,4,2,1,6,3,5,7]=>{{1,8},{2,4},{3},{5,6},{7}}=>{{1,8},{2},{3,4},{5,7},{6}}
[2,4,6,1,8,7,3,5]=>[2,8,4,1,6,3,5,7]=>{{1,2,8},{3,4},{5,6},{7}}=>{{1,7,8},{2},{3,4},{5,6}}
[2,4,3,6,8,7,1,5]=>[4,8,2,1,3,6,5,7]=>{{1,4},{2,8},{3},{5},{6},{7}}=>{{1,7},{2},{3},{4},{5,8},{6}}
[2,4,6,5,8,7,1,3]=>[6,8,2,1,4,3,5,7]=>{{1,6},{2,8},{3},{4},{5},{7}}=>{{1,7},{2},{3,8},{4},{5},{6}}
[2,4,6,8,5,7,3,1]=>[6,4,2,8,1,3,5,7]=>{{1,6},{2,4,8},{3},{5},{7}}=>{{1,5,7},{2},{3,8},{4},{6}}
[2,4,6,8,5,7,1,3]=>[6,8,2,4,1,3,5,7]=>{{1,6},{2,8},{3},{4},{5},{7}}=>{{1,7},{2},{3,8},{4},{5},{6}}
[2,4,6,8,3,7,1,5]=>[4,8,2,6,1,3,5,7]=>{{1,4,6},{2,8},{3},{5},{7}}=>{{1,7},{2},{3,5,8},{4},{6}}
[2,4,6,8,1,7,3,5]=>[2,8,4,6,1,3,5,7]=>{{1,2,8},{3,4,6},{5},{7}}=>{{1,7,8},{2},{3,5,6},{4}}
[2,4,6,5,1,8,7,3]=>[6,2,1,8,4,3,5,7]=>{{1,6},{2},{3},{4,8},{5},{7}}=>{{1,5},{2},{3,8},{4},{6},{7}}
[2,4,6,5,8,1,7,3]=>[6,2,8,1,4,3,5,7]=>{{1,6},{2},{3,8},{4},{5},{7}}=>{{1,6},{2},{3,8},{4},{5},{7}}
[2,4,6,8,5,1,7,3]=>[6,2,8,4,1,3,5,7]=>{{1,6},{2},{3,8},{4},{5},{7}}=>{{1,6},{2},{3,8},{4},{5},{7}}
[2,4,6,8,7,3,5,1]=>[8,4,6,2,1,3,5,7]=>{{1,8},{2,4},{3,6},{5},{7}}=>{{1,8},{2},{3,6},{4},{5,7}}
[2,4,6,8,7,1,5,3]=>[8,2,6,4,1,3,5,7]=>{{1,8},{2},{3,6},{4},{5},{7}}=>{{1,8},{2},{3,6},{4},{5},{7}}
[2,4,6,8,7,1,3,5]=>[2,4,8,6,1,3,5,7]=>{{1,2,4,6},{3,8},{5},{7}}=>{{1,6},{2},{3,5,7,8},{4}}
[2,4,6,8,5,3,1,7]=>[6,8,4,2,1,3,5,7]=>{{1,6},{2,8},{3,4},{5},{7}}=>{{1,7},{2},{3,8},{4},{5,6}}
[2,4,6,8,7,5,1,3]=>[2,8,6,4,1,3,5,7]=>{{1,2,8},{3,6},{4},{5},{7}}=>{{1,7,8},{2},{3,6},{4},{5}}
[3,8,7,6,2,5,1,4]=>[3,8,2,7,6,5,1,4]=>{{1,3},{2,8},{4,7},{5,6}}=>{{1,7},{2,5},{3,4},{6,8}}
[5,8,2,7,6,4,1,3]=>[5,8,7,6,2,4,1,3]=>{{1,5},{2,8},{3,7},{4,6}}=>{{1,7},{2,6},{3,5},{4,8}}
[1,6,3,2,4,5,7,8]=>[1,3,4,6,7,5,2,8]=>{{1},{2,3,4,6},{5,7},{8}}=>{{1},{2,4},{3,5,6,7},{8}}
[1,3,7,2,5,8,6,4]=>[7,3,1,5,8,2,4,6]=>{{1,7},{2,3},{4,5,8},{6}}=>{{1,4,5},{2,8},{3},{6,7}}
[2,3,6,4,1,8,7,5]=>[6,2,1,8,7,3,4,5]=>{{1,6},{2},{3},{4,8},{5,7}}=>{{1,5},{2,4},{3,8},{6},{7}}
[5,7,4,6,3,2,1,8]=>[5,7,4,3,2,8,1,6]=>{{1,5},{2,7},{3,4},{6,8}}=>{{1,3},{2,7},{4,8},{5,6}}
[3,7,2,1,8,4,6,5]=>[3,2,7,1,8,6,4,5]=>{{1,3,7},{2},{4},{5,8},{6}}=>{{1,4},{2,6,8},{3},{5},{7}}
[7,8,3,6,1,5,4,2]=>[7,6,5,8,3,4,1,2]=>{{1,7},{2,6},{3,5},{4,8}}=>{{1,5},{2,8},{3,7},{4,6}}
[2,5,7,8,4,6,1,3]=>[5,7,2,4,1,3,6,8]=>{{1,5},{2,7},{3},{4},{6},{8}}=>{{1},{2,7},{3},{4,8},{5},{6}}
[7,8,5,3,2,6,1,4]=>[7,8,5,6,3,2,1,4]=>{{1,7},{2,8},{3,5},{4,6}}=>{{1,7},{2,8},{3,5},{4,6}}
[7,8,6,1,4,3,2,5]=>[1,7,6,4,8,3,2,5]=>{{1},{2,7},{3,6},{4},{5,8}}=>{{1,4},{2,7},{3,6},{5},{8}}
[3,7,6,2,1,8,4,5]=>[3,7,2,8,6,4,1,5]=>{{1,3},{2,7},{4,8},{5,6}}=>{{1,5},{2,7},{3,4},{6,8}}
[7,3,4,8,5,2,1,6]=>[3,7,4,2,1,5,8,6]=>{{1,3,4},{2,7,8},{5},{6}}=>{{1,2,7},{3},{4},{5,6,8}}
[6,7,4,8,5,3,2,1]=>[6,4,3,2,1,7,5,8]=>{{1,6,7},{2,4},{3},{5},{8}}=>{{1},{2,3,8},{4},{5,7},{6}}
[3,1,4,6,7,5,8,2]=>[6,3,4,1,5,7,8,2]=>{{1,6,7,8},{2,3,4},{5}}=>{{1,2,3,8},{4},{5,6,7}}
[6,4,1,3,5,8,2,7]=>[6,8,1,4,5,7,3,2]=>{{1,6,7},{2,8},{3},{4},{5}}=>{{1,7},{2,3,8},{4},{5},{6}}
[4,2,6,1,3,7,8,5]=>[4,2,6,7,8,3,5,1]=>{{1,4,7},{2},{3,6},{5,8}}=>{{1,4},{2,5,8},{3,6},{7}}
[2,8,4,6,7,1,3,5]=>[2,4,8,1,3,6,5,7]=>{{1,2,4},{3,8},{5},{6},{7}}=>{{1,6},{2},{3},{4},{5,7,8}}
[3,7,8,4,2,6,5,1]=>[7,3,2,8,6,1,4,5]=>{{1,7},{2,3},{4,8},{5,6}}=>{{1,5},{2,8},{3,4},{6,7}}
[3,6,7,2,8,1,5,4]=>[3,2,6,1,5,4,7,8]=>{{1,3,6},{2},{4},{5},{7},{8}}=>{{1},{2},{3,6,8},{4},{5},{7}}
[3,8,2,4,7,1,6,5]=>[8,3,7,2,4,6,1,5]=>{{1,8},{2,3,7},{4},{5},{6}}=>{{1,8},{2,6,7},{3},{4},{5}}
[3,2,5,7,1,8,6,4]=>[3,2,1,7,5,6,8,4]=>{{1,3},{2},{4,7,8},{5},{6}}=>{{1,2,5},{3},{4},{6,8},{7}}
[7,6,3,1,2,8,4,5]=>[1,7,3,4,8,6,5,2]=>{{1},{2,7},{3},{4},{5,8},{6}}=>{{1,4},{2,7},{3},{5},{6},{8}}
[7,6,2,3,1,8,4,5]=>[2,7,3,8,4,6,5,1]=>{{1,2,7},{3},{4,8},{5},{6}}=>{{1,5},{2,7,8},{3},{4},{6}}
[7,6,3,5,8,4,2,1]=>[7,6,5,3,4,8,2,1]=>{{1,7},{2,6,8},{3,5},{4}}=>{{1,3,7},{2,8},{4,6},{5}}
[1,3,4,8,6,2,7,5]=>[3,1,8,6,2,4,5,7]=>{{1,3,8},{2},{4,6},{5},{7}}=>{{1,6,8},{2},{3,5},{4},{7}}
[4,5,7,2,3,6,1,8]=>[4,5,2,7,8,1,3,6]=>{{1,4,7},{2,5,8},{3},{6}}=>{{1,4,7},{2,5,8},{3},{6}}
[7,1,5,2,3,6,8,4]=>[5,1,2,3,7,6,8,4]=>{{1,5,7,8},{2},{3},{4},{6}}=>{{1,2,4,8},{3},{5},{6},{7}}
[5,4,1,6,7,2,8,3]=>[5,1,6,2,7,8,4,3]=>{{1,5,7},{2},{3,6,8},{4}}=>{{1,3,6},{2,4,8},{5},{7}}
[1,7,8,3,6,4,5,2]=>[7,1,6,3,8,2,4,5]=>{{1,7},{2},{3,6},{4},{5,8}}=>{{1,4},{2,8},{3,6},{5},{7}}
[2,8,5,7,6,4,1,3]=>[2,8,7,5,1,4,3,6]=>{{1,2,8},{3,7},{4,5},{6}}=>{{1,7,8},{2,6},{3},{4,5}}
[1,2,6,4,3,5,7,8]=>[1,2,4,6,5,3,7,8]=>{{1},{2},{3,4,6},{5},{7},{8}}=>{{1},{2},{3,5,6},{4},{7},{8}}
[1,5,2,8,4,3,7,6]=>[5,1,8,4,2,7,3,6]=>{{1,5},{2},{3,8},{4},{6,7}}=>{{1,6},{2,3},{4,8},{5},{7}}
[7,6,8,4,1,3,2,5]=>[1,7,6,8,4,3,5,2]=>{{1},{2,7},{3,6},{4,8},{5}}=>{{1,5},{2,7},{3,6},{4},{8}}
[7,6,8,4,1,3,5,2]=>[7,1,6,8,4,3,5,2]=>{{1,7},{2},{3,6},{4,8},{5}}=>{{1,5},{2,8},{3,6},{4},{7}}
[8,7,3,1,6,2,5,4]=>[8,1,3,2,7,6,5,4]=>{{1,8},{2},{3},{4},{5,7},{6}}=>{{1,8},{2,4},{3},{5},{6},{7}}
[8,1,7,5,4,6,2,3]=>[5,8,1,7,6,2,4,3]=>{{1,5,6},{2,8},{3},{4,7}}=>{{1,7},{2,5},{3,4,8},{6}}
[8,7,3,2,6,1,5,4]=>[3,2,8,1,7,6,5,4]=>{{1,3,8},{2},{4},{5,7},{6}}=>{{1,6,8},{2,4},{3},{5},{7}}
[1,6,2,7,4,5,3,8]=>[1,6,2,4,3,7,5,8]=>{{1},{2,6,7},{3},{4},{5},{8}}=>{{1},{2,3,7},{4},{5},{6},{8}}
[6,5,7,3,8,1,4,2]=>[6,3,7,1,5,4,8,2]=>{{1,6},{2,3,7,8},{4},{5}}=>{{1,2,6,7},{3,8},{4},{5}}
[2,7,6,8,3,5,1,4]=>[7,8,2,6,1,5,3,4]=>{{1,7},{2,8},{3},{4,6},{5}}=>{{1,7},{2,8},{3,5},{4},{6}}
[5,1,8,7,3,4,2,6]=>[1,8,3,5,4,2,7,6]=>{{1},{2,8},{3},{4,5},{6},{7}}=>{{1,7},{2},{3},{4,5},{6},{8}}
[3,1,2,4,5,6,7,8,9,10]=>[1,3,4,5,6,7,8,9,10,2]=>{{1},{2,3,4,5,6,7,8,9,10}}=>{{1,2,3,4,5,6,7,8,9},{10}}
[8,7,3,2,6,5,1,4]=>[3,8,2,1,7,6,5,4]=>{{1,3},{2,8},{4},{5,7},{6}}=>{{1,7},{2,4},{3},{5},{6,8}}
[2,8,7,3,4,1,6,5]=>[2,1,8,3,7,6,4,5]=>{{1,2},{3,8},{4},{5,7},{6}}=>{{1,6},{2,4},{3},{5},{7,8}}
[1,9,2,3,4,5,6,8,7]=>[9,1,2,3,4,5,8,6,7]=>{{1,9},{2},{3},{4},{5},{6},{7,8}}=>{{1,9},{2,3},{4},{5},{6},{7},{8}}
[4,7,3,6,5,1,2,8]=>[4,7,8,6,3,5,1,2]=>{{1,4,6},{2,7},{3,8},{5}}=>{{1,6},{2,7},{3,5,8},{4}}
[3,8,1,7,5,4,2,6]=>[3,8,7,5,4,6,1,2]=>{{1,3,7},{2,8},{4,5},{6}}=>{{1,7},{2,6,8},{3},{4,5}}
[2,1,3,8,6,5,4,7]=>[2,8,6,3,1,5,7,4]=>{{1,2,8},{3,6},{4},{5},{7}}=>{{1,7,8},{2},{3,6},{4},{5}}
[8,1,4,5,6,2,7,3]=>[4,1,8,2,5,6,7,3]=>{{1,4},{2},{3,8},{5},{6},{7}}=>{{1,6},{2},{3},{4},{5,8},{7}}
[3,5,6,2,8,7,4,1]=>[8,3,2,1,5,4,6,7]=>{{1,8},{2,3},{4},{5},{6},{7}}=>{{1,8},{2},{3},{4},{5},{6,7}}
[7,3,4,1,6,8,2,5]=>[3,4,1,2,7,6,8,5]=>{{1,3},{2,4},{5,7,8},{6}}=>{{1,2,4},{3},{5,7},{6,8}}
[8,7,4,1,2,5,3,6]=>[1,4,2,5,8,7,6,3]=>{{1},{2,4,5,8},{3},{6,7}}=>{{1,4,5,7},{2,3},{6},{8}}
[8,7,5,1,2,3,6,4]=>[5,1,2,3,8,7,6,4]=>{{1,5,8},{2},{3},{4},{6,7}}=>{{1,4,8},{2,3},{5},{6},{7}}
[8,7,2,6,1,4,5,3]=>[8,2,4,7,1,6,5,3]=>{{1,8},{2},{3,4,7},{5},{6}}=>{{1,8},{2,5,6},{3},{4},{7}}
[5,2,1,3,7,6,4,8]=>[2,5,3,1,7,8,6,4]=>{{1,2,5,7},{3},{4},{6,8}}=>{{1,3},{2,4,7,8},{5},{6}}
[7,1,2,5,3,4,6,8]=>[1,2,3,7,5,6,8,4]=>{{1},{2},{3},{4,7,8},{5},{6}}=>{{1,2,5},{3},{4},{6},{7},{8}}
[2,3,7,1,8,6,4,5]=>[2,7,6,1,8,3,4,5]=>{{1,2,7},{3,6},{4},{5,8}}=>{{1,4},{2,7,8},{3,6},{5}}
[7,2,8,4,6,1,5,3]=>[7,6,8,2,4,1,5,3]=>{{1,7},{2,6},{3,8},{4},{5}}=>{{1,6},{2,8},{3,7},{4},{5}}
[7,3,6,2,1,8,5,4]=>[3,2,1,7,6,5,8,4]=>{{1,3},{2},{4,7,8},{5,6}}=>{{1,2,5},{3,4},{6,8},{7}}
[5,1,6,4,3,8,7,2]=>[5,4,1,6,3,2,8,7]=>{{1,5},{2,4,6},{3},{7,8}}=>{{1,2},{3,5,7},{4,8},{6}}
[3,5,2,1,4,6,7,8]=>[3,5,6,7,8,2,1,4]=>{{1,3,6},{2,5,8},{4,7}}=>{{1,4,7},{2,5},{3,6,8}}
[7,6,1,2,5,3,8,4]=>[7,1,8,2,3,6,5,4]=>{{1,7},{2},{3,8},{4},{5},{6}}=>{{1,6},{2,8},{3},{4},{5},{7}}
[4,8,3,1,7,6,5,2]=>[8,7,4,3,6,5,1,2]=>{{1,8},{2,7},{3,4},{5,6}}=>{{1,8},{2,7},{3,4},{5,6}}
[5,8,4,7,1,6,3,2]=>[8,5,4,7,3,6,1,2]=>{{1,8},{2,5},{3,4,7},{6}}=>{{1,8},{2,5,6},{3},{4,7}}
[5,2,1,6,8,4,7,3]=>[5,2,6,1,4,8,7,3]=>{{1,5},{2},{3,6,8},{4},{7}}=>{{1,3,6},{2},{4,8},{5},{7}}
[7,1,8,3,2,5,4,6]=>[1,7,3,8,5,2,6,4]=>{{1},{2,7},{3},{4,8},{5},{6}}=>{{1,5},{2,7},{3},{4},{6},{8}}
[8,4,5,1,7,6,2,3]=>[4,8,5,1,7,2,6,3]=>{{1,4},{2,8},{3,5,7},{6}}=>{{1,7},{2,4,6},{3},{5,8}}
[6,3,1,4,8,2,7,5]=>[6,3,4,1,2,8,7,5]=>{{1,6,8},{2,3,4},{5},{7}}=>{{1,3,8},{2},{4},{5,6,7}}
[7,5,6,1,3,8,4,2]=>[7,5,1,6,8,3,4,2]=>{{1,7},{2,5,8},{3},{4,6}}=>{{1,4,7},{2,8},{3,5},{6}}
[2,1,6,4,8,3,7,5]=>[6,2,8,1,4,3,7,5]=>{{1,6},{2},{3,8},{4},{5},{7}}=>{{1,6},{2},{3,8},{4},{5},{7}}
[1,5,7,8,4,2,3,6]=>[5,7,8,4,1,2,3,6]=>{{1,5},{2,7},{3,8},{4},{6}}=>{{1,6},{2,7},{3},{4,8},{5}}
[7,1,3,2,4,6,8,5]=>[3,1,2,4,7,6,8,5]=>{{1,3},{2},{4},{5,7,8},{6}}=>{{1,2,4},{3},{5},{6,8},{7}}
[2,6,5,7,8,3,1,4]=>[6,7,5,2,3,4,1,8]=>{{1,6},{2,7},{3,5},{4},{8}}=>{{1},{2,7},{3,8},{4,6},{5}}
[2,5,7,1,6,3,4,8]=>[2,5,7,6,8,1,3,4]=>{{1,2,5,8},{3,7},{4,6}}=>{{1,4,7,8},{2,6},{3,5}}
[2,4,7,8,5,6,1,3]=>[7,8,2,4,1,3,5,6]=>{{1,7},{2,8},{3},{4},{5},{6}}=>{{1,7},{2,8},{3},{4},{5},{6}}
[4,3,6,5,1,8,2,7]=>[4,6,3,8,5,1,7,2]=>{{1,4,8},{2,6},{3},{5},{7}}=>{{1,5,8},{2},{3,7},{4},{6}}
[1,8,4,7,6,2,3,5]=>[1,4,8,7,2,6,3,5]=>{{1},{2,4,7},{3,8},{5},{6}}=>{{1,6},{2,5,7},{3},{4},{8}}
[6,5,1,8,7,2,4,3]=>[6,1,5,4,2,8,7,3]=>{{1,6,8},{2},{3,5},{4},{7}}=>{{1,3,8},{2},{4,6},{5},{7}}
[8,5,1,7,6,4,3,2]=>[8,7,5,4,1,6,3,2]=>{{1,8},{2,7},{3,5},{4},{6}}=>{{1,8},{2,7},{3},{4,6},{5}}
[8,5,3,7,6,1,4,2]=>[8,5,7,3,1,6,4,2]=>{{1,8},{2,5},{3,7},{4},{6}}=>{{1,8},{2,6},{3},{4,7},{5}}
[1,5,8,6,2,7,4,3]=>[8,5,1,6,4,2,3,7]=>{{1,8},{2,5},{3},{4,6},{7}}=>{{1,8},{2},{3,5},{4,7},{6}}
[3,1,8,5,7,2,6,4]=>[8,3,7,1,5,2,6,4]=>{{1,8},{2,3,7},{4},{5},{6}}=>{{1,8},{2,6,7},{3},{4},{5}}
[3,2,6,7,1,8,5,4]=>[3,2,1,6,5,7,8,4]=>{{1,3},{2},{4,6,7,8},{5}}=>{{1,2,3,5},{4},{6,8},{7}}
[1,2,6,7,8,5,3,4]=>[6,7,5,1,2,3,4,8]=>{{1,6},{2,7},{3,5},{4},{8}}=>{{1},{2,7},{3,8},{4,6},{5}}
[8,6,1,2,7,3,4,5]=>[1,2,6,3,4,8,7,5]=>{{1},{2},{3,6,8},{4},{5},{7}}=>{{1,3,6},{2},{4},{5},{7},{8}}
[4,1,2,3,5,6,7,8,9,10]=>[1,2,4,5,6,7,8,9,10,3]=>{{1},{2},{3,4,5,6,7,8,9,10}}=>{{1,2,3,4,5,6,7,8},{9},{10}}
[5,1,2,3,4,6,7,8,9,10]=>[1,2,3,5,6,7,8,9,10,4]=>{{1},{2},{3},{4,5,6,7,8,9,10}}=>{{1,2,3,4,5,6,7},{8},{9},{10}}
[8,1,2,3,4,5,6,7,9,10]=>[1,2,3,4,5,6,8,9,10,7]=>{{1},{2},{3},{4},{5},{6},{7,8,9,10}}=>{{1,2,3,4},{5},{6},{7},{8},{9},{10}}
[7,1,2,3,4,5,6,8,9,10]=>[1,2,3,4,5,7,8,9,10,6]=>{{1},{2},{3},{4},{5},{6,7,8,9,10}}=>{{1,2,3,4,5},{6},{7},{8},{9},{10}}
[6,1,2,3,4,5,7,8,9,10]=>[1,2,3,4,6,7,8,9,10,5]=>{{1},{2},{3},{4},{5,6,7,8,9,10}}=>{{1,2,3,4,5,6},{7},{8},{9},{10}}
[2,7,4,8,3,6,1,5]=>[7,8,4,6,2,3,1,5]=>{{1,7},{2,8},{3,4,6},{5}}=>{{1,7},{2,8},{3,5,6},{4}}
[4,7,3,8,6,1,5,2]=>[7,4,6,3,1,5,2,8]=>{{1,7},{2,4},{3,6},{5},{8}}=>{{1},{2,8},{3,6},{4},{5,7}}
[3,6,2,1,5,8,7,4]=>[3,2,1,6,8,5,4,7]=>{{1,3},{2},{4,6},{5,8},{7}}=>{{1,4},{2},{3,5},{6,8},{7}}
[7,3,2,8,1,6,4,5]=>[3,7,4,8,2,6,5,1]=>{{1,3,4,8},{2,7},{5},{6}}=>{{1,5,6,8},{2,7},{3},{4}}
[2,4,5,3,8,6,7,1]=>[4,2,3,1,8,5,6,7]=>{{1,4},{2},{3},{5,8},{6},{7}}=>{{1,4},{2},{3},{5,8},{6},{7}}
[4,8,5,3,2,6,7,1]=>[8,4,5,6,3,2,1,7]=>{{1,8},{2,4,6},{3,5},{7}}=>{{1,8},{2},{3,5,7},{4,6}}
[3,5,2,8,4,6,7,1]=>[3,2,5,6,1,8,4,7]=>{{1,3,5},{2},{4,6,8},{7}}=>{{1,3,5},{2},{4,6,8},{7}}
[6,1,8,3,5,4,7,2]=>[6,1,5,3,4,2,8,7]=>{{1,6},{2},{3,5},{4},{7,8}}=>{{1,2},{3,8},{4,6},{5},{7}}
[6,2,1,7,8,5,4,3]=>[6,5,2,1,7,8,4,3]=>{{1,6,8},{2,5,7},{3},{4}}=>{{1,3,8},{2,4,7},{5},{6}}
[3,4,5,2,7,1,6,8]=>[3,4,7,2,5,1,6,8]=>{{1,3,7},{2,4},{5},{6},{8}}=>{{1},{2,6,8},{3},{4},{5,7}}
[8,4,6,2,3,1,5,7]=>[2,4,8,6,7,3,5,1]=>{{1,2,4,6},{3,8},{5,7}}=>{{1,6},{2,4},{3,5,7,8}}
[7,5,2,1,4,3,8,6]=>[2,1,7,5,8,6,4,3]=>{{1,2},{3,7},{4,5,8},{6}}=>{{1,4,5},{2,6},{3},{7,8}}
[6,8,2,5,1,3,7,4]=>[2,1,6,8,5,7,3,4]=>{{1,2},{3,6,7},{4,8},{5}}=>{{1,5},{2,3,6},{4},{7,8}}
[7,8,3,2,4,6,5,1]=>[7,3,2,4,8,6,1,5]=>{{1,7},{2,3},{4},{5,8},{6}}=>{{1,4},{2,8},{3},{5},{6,7}}
[1,5,7,6,2,8,4,3]=>[7,5,1,6,4,2,3,8]=>{{1,7},{2,5},{3},{4,6},{8}}=>{{1},{2,8},{3,5},{4,7},{6}}
[8,5,7,2,4,1,6,3]=>[5,2,8,4,7,1,6,3]=>{{1,5,7},{2},{3,8},{4},{6}}=>{{1,6},{2,4,8},{3},{5},{7}}
[4,7,2,8,5,3,1,6]=>[4,7,5,2,1,8,3,6]=>{{1,4},{2,7},{3,5},{6,8}}=>{{1,3},{2,7},{4,6},{5,8}}
[3,1,5,2,7,8,6,4]=>[7,3,1,5,6,2,8,4]=>{{1,7,8},{2,3},{4,5,6}}=>{{1,2,8},{3,4,5},{6,7}}
[1,2,7,6,8,4,3,5]=>[7,8,6,1,4,2,3,5]=>{{1,7},{2,8},{3,6},{4},{5}}=>{{1,7},{2,8},{3,6},{4},{5}}
[1,6,3,5,8,4,2,7]=>[6,8,5,1,3,4,2,7]=>{{1,6},{2,8},{3,5},{4},{7}}=>{{1,7},{2},{3,8},{4,6},{5}}
[4,1,8,6,2,3,7,5]=>[4,1,2,8,6,3,7,5]=>{{1,4,8},{2},{3},{5,6},{7}}=>{{1,5,8},{2},{3,4},{6},{7}}
[7,5,8,6,2,3,4,1]=>[7,2,5,8,3,1,6,4]=>{{1,7},{2},{3,5},{4,8},{6}}=>{{1,5},{2,8},{3},{4,6},{7}}
[1,7,6,4,3,8,5,2]=>[7,6,1,8,4,3,2,5]=>{{1,7},{2,6},{3},{4,8},{5}}=>{{1,5},{2,8},{3,7},{4},{6}}
[5,3,7,2,6,4,1,8]=>[5,7,3,2,8,1,6,4]=>{{1,5,8},{2,7},{3},{4},{6}}=>{{1,4,8},{2,7},{3},{5},{6}}
[7,6,2,4,5,3,1,8]=>[2,7,6,4,5,8,3,1]=>{{1,2,7},{3,6,8},{4},{5}}=>{{1,3,6},{2,7,8},{4},{5}}
[5,4,8,1,2,6,7,3]=>[5,1,4,6,8,2,7,3]=>{{1,5,8},{2},{3,4,6},{7}}=>{{1,4,8},{2},{3,5,6},{7}}
[5,1,8,2,4,6,7,3]=>[5,1,2,4,6,3,8,7]=>{{1,5,6},{2},{3},{4},{7,8}}=>{{1,2},{3,4,8},{5},{6},{7}}
[5,7,6,1,3,2,8,4]=>[5,1,7,6,8,3,2,4]=>{{1,5,8},{2},{3,7},{4,6}}=>{{1,4,8},{2,6},{3,5},{7}}
[8,6,2,7,5,4,3,1]=>[8,6,5,4,2,7,3,1]=>{{1,8},{2,6,7},{3,5},{4}}=>{{1,8},{2,3,7},{4,6},{5}}
[1,6,7,8,3,2,4,5]=>[6,7,8,3,1,2,4,5]=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}
[1,6,7,8,4,2,3,5]=>[6,7,8,4,1,2,3,5]=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}
[1,7,8,3,4,2,5,6]=>[1,3,7,4,8,2,5,6]=>{{1},{2,3,7},{4},{5,8},{6}}=>{{1,4},{2,6,7},{3},{5},{8}}
[1,2,3,7,8,5,4,6]=>[7,8,5,1,2,3,4,6]=>{{1,7},{2,8},{3,5},{4},{6}}=>{{1,7},{2,8},{3},{4,6},{5}}
[6,8,7,3,2,4,1,5]=>[3,8,6,7,4,2,1,5]=>{{1,3,6},{2,8},{4,7},{5}}=>{{1,7},{2,5},{3,6,8},{4}}
[2,8,7,6,4,5,1,3]=>[2,8,1,7,6,4,3,5]=>{{1,2,8},{3},{4,7},{5,6}}=>{{1,7,8},{2,5},{3,4},{6}}
[4,8,7,6,3,1,5,2]=>[4,3,8,7,6,5,1,2]=>{{1,4,7},{2,3,8},{5,6}}=>{{1,6,7},{2,5,8},{3,4}}
[3,5,2,4,7,6,8,1]=>[3,2,5,1,7,8,4,6]=>{{1,3,5,7},{2},{4},{6,8}}=>{{1,3},{2,4,6,8},{5},{7}}
[5,3,2,6,7,4,8,1]=>[5,3,6,2,7,8,4,1]=>{{1,5,7},{2,3,6,8},{4}}=>{{1,3,6,7},{2,4,8},{5}}
[3,8,5,2,1,4,6,7]=>[3,5,6,8,7,2,1,4]=>{{1,3,6},{2,5,7},{4,8}}=>{{1,5},{2,4,7},{3,6,8}}
[8,1,6,7,3,4,2,5]=>[1,8,6,7,3,4,5,2]=>{{1},{2,8},{3,6},{4,7},{5}}=>{{1,7},{2,5},{3,6},{4},{8}}
[1,2,9,3,4,5,6,8,7]=>[9,1,2,3,4,8,5,6,7]=>{{1,9},{2},{3},{4},{5},{6,8},{7}}=>{{1,9},{2,4},{3},{5},{6},{7},{8}}
[1,2,3,4,5,9,6,8,7]=>[9,1,8,2,3,4,5,6,7]=>{{1,9},{2},{3,8},{4},{5},{6},{7}}=>{{1,9},{2,7},{3},{4},{5},{6},{8}}
[1,2,3,4,5,6,9,10,7,8]=>[9,10,1,2,3,4,5,6,7,8]=>{{1,9},{2,10},{3},{4},{5},{6},{7},{8}}=>{{1,9},{2,10},{3},{4},{5},{6},{7},{8}}
[1,2,3,4,5,6,7,8,11,10,9]=>[11,10,1,2,3,4,5,6,7,8,9]=>{{1,11},{2,10},{3},{4},{5},{6},{7},{8},{9}}=>{{1,11},{2,10},{3},{4},{5},{6},{7},{8},{9}}
[2,1,3,8,5,7,4,6]=>[2,8,1,5,3,4,7,6]=>{{1,2,8},{3},{4,5},{6},{7}}=>{{1,7,8},{2},{3},{4,5},{6}}
[5,4,1,6,3,7,8,2]=>[5,4,6,7,1,8,3,2]=>{{1,5},{2,4,7},{3,6,8}}=>{{1,3,6},{2,5,7},{4,8}}
[4,5,1,3,6,7,8,2]=>[4,3,5,6,7,8,1,2]=>{{1,4,6,8},{2,3,5,7}}=>{{1,3,5,8},{2,4,6,7}}
[3,6,2,4,1,5,7,8]=>[3,4,6,7,2,8,1,5]=>{{1,3,6,8},{2,4,7},{5}}=>{{1,3,6,8},{2,5,7},{4}}
[4,1,3,5,8,7,6,2]=>[8,4,3,1,2,5,7,6]=>{{1,8},{2,4},{3},{5},{6},{7}}=>{{1,8},{2},{3},{4},{5,7},{6}}
[2,6,5,7,3,8,4,1]=>[6,5,2,7,3,4,1,8]=>{{1,6},{2,5},{3},{4,7},{8}}=>{{1},{2,5},{3,8},{4,7},{6}}
[6,8,2,7,4,1,5,3]=>[6,2,8,7,4,5,1,3]=>{{1,6},{2},{3,8},{4,7},{5}}=>{{1,6},{2,5},{3,8},{4},{7}}
[7,1,5,2,6,3,4,8]=>[1,2,5,3,7,6,8,4]=>{{1},{2},{3,5,7,8},{4},{6}}=>{{1,2,4,6},{3},{5},{7},{8}}
[6,3,8,2,5,4,1,7]=>[3,6,5,2,8,1,7,4]=>{{1,3,5,8},{2,6},{4},{7}}=>{{1,4,6,8},{2},{3,7},{5}}
[5,2,8,3,6,4,1,7]=>[2,8,5,3,6,1,7,4]=>{{1,2,8},{3,5,6},{4},{7}}=>{{1,7,8},{2},{3,4,6},{5}}
[3,2,1,5,8,6,4,7]=>[3,5,2,1,6,8,7,4]=>{{1,3},{2,5,6,8},{4},{7}}=>{{1,3,4,7},{2},{5},{6,8}}
[5,2,8,3,7,4,1,6]=>[2,8,5,3,4,1,7,6]=>{{1,2,8},{3,5},{4},{6},{7}}=>{{1,7,8},{2},{3},{4,6},{5}}
[8,2,6,3,7,4,1,5]=>[2,8,6,3,7,4,5,1]=>{{1,2,8},{3,6},{4},{5,7}}=>{{1,7,8},{2,4},{3,6},{5}}
[3,2,7,4,8,5,1,6]=>[3,4,2,1,7,5,8,6]=>{{1,3},{2,4},{5,7,8},{6}}=>{{1,2,4},{3},{5,7},{6,8}}
[1,3,6,4,8,5,2,7]=>[1,6,3,2,8,4,5,7]=>{{1},{2,6},{3},{4},{5,8},{7}}=>{{1,4},{2},{3,7},{5},{6},{8}}
[1,3,5,4,8,6,2,7]=>[1,5,3,2,8,4,6,7]=>{{1},{2,5,8},{3},{4},{6},{7}}=>{{1,4,7},{2},{3},{5},{6},{8}}
[5,2,4,3,8,6,1,7]=>[2,5,4,3,8,6,7,1]=>{{1,2,5,8},{3,4},{6},{7}}=>{{1,4,7,8},{2},{3},{5,6}}
[7,2,4,3,1,6,5,8]=>[2,4,3,7,6,5,8,1]=>{{1,2,4,7,8},{3},{5,6}}=>{{1,2,5,7,8},{3,4},{6}}
[3,2,1,6,4,7,5,8]=>[3,6,2,7,4,8,5,1]=>{{1,3},{2,6,8},{4,7},{5}}=>{{1,3,7},{2,5},{4},{6,8}}
[4,7,8,1,5,6,2,3]=>[7,8,4,5,6,1,2,3]=>{{1,7},{2,8},{3,4,5,6}}=>{{1,7},{2,8},{3,4,5,6}}
[6,2,1,4,7,5,8,3]=>[6,2,4,1,7,8,5,3]=>{{1,6,8},{2},{3,4},{5,7}}=>{{1,3,8},{2,4},{5,6},{7}}
[4,5,8,3,2,7,1,6]=>[4,8,3,7,2,1,5,6]=>{{1,4,7},{2,8},{3},{5},{6}}=>{{1,7},{2,5,8},{3},{4},{6}}
[5,3,7,6,2,4,8,1]=>[5,3,7,8,2,1,6,4]=>{{1,5},{2,3,7},{4,8},{6}}=>{{1,5},{2,6,7},{3},{4,8}}
[6,4,7,8,3,1,5,2]=>[6,4,7,5,1,3,8,2]=>{{1,6},{2,4,5},{3,7,8}}=>{{1,2,6},{3,8},{4,5,7}}
[7,2,8,5,1,3,6,4]=>[2,1,7,8,5,3,6,4]=>{{1,2},{3,7},{4,8},{5},{6}}=>{{1,5},{2,6},{3},{4},{7,8}}
[7,6,4,2,8,5,1,3]=>[7,8,4,2,6,5,3,1]=>{{1,7},{2,8},{3,4},{5,6}}=>{{1,7},{2,8},{3,4},{5,6}}
[7,8,4,5,1,3,6,2]=>[7,4,5,8,3,6,1,2]=>{{1,7},{2,4,8},{3,5},{6}}=>{{1,5,7},{2,8},{3},{4,6}}
[1,5,8,3,6,4,7,2]=>[8,1,5,3,6,2,4,7]=>{{1,8},{2},{3,5,6},{4},{7}}=>{{1,8},{2},{3,4,6},{5},{7}}
[8,1,4,2,3,5,7,6]=>[4,1,2,3,8,5,7,6]=>{{1,4},{2},{3},{5,8},{6},{7}}=>{{1,4},{2},{3},{5,8},{6},{7}}
[5,1,8,3,7,4,6,2]=>[8,1,5,3,4,2,7,6]=>{{1,8},{2},{3,5},{4},{6},{7}}=>{{1,8},{2},{3},{4,6},{5},{7}}
[8,3,7,1,5,4,6,2]=>[8,3,7,5,6,1,4,2]=>{{1,8},{2,3,7},{4,5,6}}=>{{1,8},{2,6,7},{3,4,5}}
[8,4,7,1,5,3,6,2]=>[8,4,7,5,6,1,3,2]=>{{1,8},{2,4,5,6},{3,7}}=>{{1,8},{2,6},{3,4,5,7}}
[3,6,8,5,2,4,7,1]=>[6,3,5,8,2,1,4,7]=>{{1,6},{2,3,5},{4,8},{7}}=>{{1,5},{2},{3,8},{4,6,7}}
[1,3,6,8,7,2,5,4]=>[8,3,6,5,1,2,4,7]=>{{1,8},{2,3,6},{4,5},{7}}=>{{1,8},{2},{3,6,7},{4,5}}
[5,8,7,1,4,2,3,6]=>[1,2,8,5,7,4,3,6]=>{{1},{2},{3,8},{4,5,7},{6}}=>{{1,6},{2,4,5},{3},{7},{8}}
[2,7,6,5,4,1,3,8]=>[2,7,8,6,5,4,1,3]=>{{1,2,7},{3,8},{4,6},{5}}=>{{1,6},{2,7,8},{3,5},{4}}
[1,7,2,8,5,4,3,6]=>[1,7,5,4,2,8,3,6]=>{{1},{2,7},{3,5},{4},{6,8}}=>{{1,3},{2,7},{4,6},{5},{8}}
[8,5,1,2,4,6,7,3]=>[8,1,2,5,6,7,4,3]=>{{1,8},{2},{3},{4,5,6,7}}=>{{1,8},{2,3,4,5},{6},{7}}
[5,4,7,8,3,1,2,6]=>[5,7,8,4,1,3,6,2]=>{{1,5},{2,7},{3,8},{4},{6}}=>{{1,6},{2,7},{3},{4,8},{5}}
[4,5,8,1,3,7,2,6]=>[4,8,3,5,7,1,2,6]=>{{1,4,5,7},{2,8},{3},{6}}=>{{1,7},{2,4,5,8},{3},{6}}
[7,6,2,8,1,4,3,5]=>[2,7,4,8,1,6,5,3]=>{{1,2,7},{3,4,8},{5},{6}}=>{{1,5,6},{2,7,8},{3},{4}}
[6,4,2,1,8,7,3,5]=>[2,6,4,3,8,7,5,1]=>{{1,2,6,7},{3,4},{5,8}}=>{{1,4},{2,3,7,8},{5,6}}
[7,5,6,1,8,3,2,4]=>[5,7,6,1,8,3,4,2]=>{{1,5,8},{2,7},{3,6},{4}}=>{{1,4,8},{2,7},{3,6},{5}}
[2,3,7,4,1,8,6,5]=>[7,2,1,8,6,3,4,5]=>{{1,7},{2},{3},{4,8},{5,6}}=>{{1,5},{2,8},{3,4},{6},{7}}
[2,4,1,6,7,5,3,8]=>[2,6,4,1,5,7,3,8]=>{{1,2,6,7},{3,4},{5},{8}}=>{{1},{2,3,7,8},{4},{5,6}}
[1,4,5,3,8,6,7,2]=>[4,1,3,2,8,5,6,7]=>{{1,4},{2},{3},{5,8},{6},{7}}=>{{1,4},{2},{3},{5,8},{6},{7}}
[4,6,2,7,5,8,1,3]=>[4,6,2,5,1,7,3,8]=>{{1,4,5},{2,6,7},{3},{8}}=>{{1},{2,3,7},{4,5,8},{6}}
[4,3,8,2,7,5,1,6]=>[4,5,3,2,8,1,7,6]=>{{1,4},{2,5,8},{3},{6},{7}}=>{{1,4,7},{2},{3},{5,8},{6}}
[3,6,8,5,2,1,7,4]=>[6,3,8,5,2,1,4,7]=>{{1,6},{2,3,8},{4,5},{7}}=>{{1,6,7},{2},{3,8},{4,5}}
[6,2,8,1,7,4,5,3]=>[8,2,6,4,7,1,5,3]=>{{1,8},{2},{3,6},{4},{5,7}}=>{{1,8},{2,4},{3,6},{5},{7}}
[3,5,8,7,4,6,2,1]=>[8,5,3,7,2,1,4,6]=>{{1,8},{2,5},{3},{4,7},{6}}=>{{1,8},{2,5},{3},{4,7},{6}}
[1,3,5,8,4,7,2,6]=>[5,8,3,7,1,2,4,6]=>{{1,5},{2,8},{3},{4,7},{6}}=>{{1,7},{2,5},{3},{4,8},{6}}
[2,3,8,7,5,1,6,4]=>[2,1,8,7,5,3,4,6]=>{{1,2},{3,8},{4,7},{5},{6}}=>{{1,6},{2,5},{3},{4},{7,8}}
[4,1,3,5,6,2,8,7]=>[4,1,8,3,5,6,7,2]=>{{1,4},{2},{3,8},{5},{6},{7}}=>{{1,6},{2},{3},{4},{5,8},{7}}
[6,4,8,7,3,5,2,1]=>[6,4,3,8,2,1,7,5]=>{{1,6},{2,4,8},{3},{5},{7}}=>{{1,5,7},{2},{3,8},{4},{6}}
[8,2,3,5,6,1,4,7]=>[2,3,8,1,5,6,7,4]=>{{1,2,3,8},{4},{5},{6},{7}}=>{{1,6,7,8},{2},{3},{4},{5}}
[3,8,2,7,6,4,1,5]=>[3,8,7,4,2,6,1,5]=>{{1,3,7},{2,8},{4},{5},{6}}=>{{1,7},{2,6,8},{3},{4},{5}}
[4,3,8,6,2,7,1,5]=>[4,8,3,6,2,1,7,5]=>{{1,4,6},{2,8},{3},{5},{7}}=>{{1,7},{2},{3,5,8},{4},{6}}
[8,3,4,5,1,6,7,2]=>[3,1,4,8,5,6,7,2]=>{{1,3,4,8},{2},{5},{6},{7}}=>{{1,5,6,8},{2},{3},{4},{7}}
[1,3,7,8,5,4,6,2]=>[7,5,8,3,1,2,4,6]=>{{1,7},{2,5},{3,8},{4},{6}}=>{{1,6},{2,8},{3},{4,7},{5}}
[1,3,2,7,8,5,4,6]=>[3,7,5,1,2,8,4,6]=>{{1,3,5},{2,7},{4},{6,8}}=>{{1,3},{2,7},{4,6,8},{5}}
[6,7,3,1,5,2,4,8]=>[1,6,7,3,8,5,2,4]=>{{1},{2,6},{3,7},{4},{5,8}}=>{{1,4},{2,6},{3,7},{5},{8}}
[2,1,7,4,3,8,5,6]=>[2,4,1,7,5,3,8,6]=>{{1,2,4,7,8},{3},{5},{6}}=>{{1,2,5,7,8},{3},{4},{6}}
[3,2,5,4,7,6,1,10,8,12,9,11]=>[3,5,2,7,4,8,6,1,10,9,12,11]=>{{1,3},{2,5},{4,7},{6,8},{9,10},{11,12}}=>{{1,2},{3,4},{5,7},{6,9},{8,11},{10,12}}
[1,4,6,7,3,5,2,8]=>[1,4,3,6,2,5,7,8]=>{{1},{2,4,6},{3},{5},{7},{8}}=>{{1},{2},{3,5,7},{4},{6},{8}}
[1,7,3,2,4,5,6,8]=>[1,3,4,5,7,6,2,8]=>{{1},{2,3,4,5,7},{6},{8}}=>{{1},{2,4,5,6,7},{3},{8}}
[6,1,5,2,3,4,8,7]=>[6,1,2,3,8,5,7,4]=>{{1,6},{2},{3},{4},{5,8},{7}}=>{{1,4},{2},{3,8},{5},{6},{7}}
[2,3,7,6,1,5,8,4]=>[7,2,3,6,5,1,4,8]=>{{1,7},{2},{3},{4,6},{5},{8}}=>{{1},{2,8},{3,5},{4},{6},{7}}
[5,7,3,4,8,2,6,1]=>[5,3,7,2,4,8,1,6]=>{{1,5},{2,3,7},{4},{6,8}}=>{{1,3},{2,6,7},{4,8},{5}}
[6,5,2,3,1,8,7,4]=>[6,5,2,8,3,7,4,1]=>{{1,6,7},{2,5},{3},{4,8}}=>{{1,5},{2,3,8},{4,7},{6}}
[2,5,3,6,1,8,4,7]=>[5,6,2,8,3,4,1,7]=>{{1,5},{2,6},{3},{4,8},{7}}=>{{1,5},{2},{3,7},{4,8},{6}}
[7,3,8,2,4,1,6,5]=>[7,3,8,4,6,2,5,1]=>{{1,7},{2,3,8},{4},{5,6}}=>{{1,6,7},{2,8},{3,4},{5}}
[8,2,7,6,4,1,5,3]=>[2,1,8,7,6,4,5,3]=>{{1,2},{3,8},{4,7},{5,6}}=>{{1,6},{2,5},{3,4},{7,8}}
[4,1,5,8,3,6,7,2]=>[4,3,5,6,1,2,8,7]=>{{1,4,6},{2,3,5},{7,8}}=>{{1,2},{3,5,8},{4,6,7}}
[4,8,2,7,1,3,6,5]=>[8,2,4,7,3,6,1,5]=>{{1,8},{2},{3,4,7},{5},{6}}=>{{1,8},{2,5,6},{3},{4},{7}}
[8,2,1,7,4,6,3,5]=>[2,8,1,4,3,7,6,5]=>{{1,2,8},{3},{4},{5},{6,7}}=>{{1,7,8},{2,3},{4},{5},{6}}
[4,2,5,8,3,6,7,1]=>[4,2,5,6,1,3,8,7]=>{{1,4,6},{2},{3,5},{7,8}}=>{{1,2},{3,5,8},{4,6},{7}}
[8,2,5,3,1,7,4,6]=>[2,5,3,8,7,4,6,1]=>{{1,2,5,7},{3},{4,8},{6}}=>{{1,5},{2,4,7,8},{3},{6}}
[7,4,6,5,1,8,2,3]=>[4,7,1,8,6,2,5,3]=>{{1,4,8},{2,7},{3},{5,6}}=>{{1,5,8},{2,7},{3,4},{6}}
[5,4,1,8,6,2,7,3]=>[5,1,6,4,2,8,7,3]=>{{1,5},{2},{3,6,8},{4},{7}}=>{{1,3,6},{2},{4,8},{5},{7}}
[3,6,1,5,8,4,7,2]=>[6,3,5,1,4,8,2,7]=>{{1,6,8},{2,3,5},{4},{7}}=>{{1,3,8},{2},{4,6,7},{5}}
[1,6,2,8,7,4,3,5]=>[1,8,6,4,2,7,3,5]=>{{1},{2,8},{3,6,7},{4},{5}}=>{{1,7},{2,3,6},{4},{5},{8}}
[1,4,8,7,5,3,2,6]=>[1,8,7,4,3,2,5,6]=>{{1},{2,8},{3,7},{4},{5},{6}}=>{{1,7},{2,6},{3},{4},{5},{8}}
[1,2,4,7,5,8,6,3]=>[7,4,1,8,2,3,5,6]=>{{1,7},{2,4,8},{3},{5},{6}}=>{{1,5,7},{2,8},{3},{4},{6}}
[1,5,3,2,6,8,7,4]=>[5,3,1,2,8,6,4,7]=>{{1,5,8},{2,3},{4},{6},{7}}=>{{1,4,8},{2},{3},{5},{6,7}}
[2,7,3,6,8,5,4,1]=>[7,6,5,2,3,4,1,8]=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1},{2,8},{3,7},{4,6},{5}}
[8,6,1,4,7,3,5,2]=>[8,6,7,1,4,5,3,2]=>{{1,8},{2,6},{3,7},{4},{5}}=>{{1,8},{2,6},{3,7},{4},{5}}
[1,4,7,5,2,3,8,6]=>[4,1,7,8,5,2,3,6]=>{{1,4,8},{2},{3,7},{5},{6}}=>{{1,5,8},{2,6},{3},{4},{7}}
[1,5,8,7,4,2,6,3]=>[5,4,8,7,6,1,2,3]=>{{1,5,6},{2,4,7},{3,8}}=>{{1,6},{2,5,7},{3,4,8}}
[6,1,8,5,2,7,3,4]=>[1,6,2,8,5,3,7,4]=>{{1},{2,6},{3},{4,8},{5},{7}}=>{{1,5},{2},{3,7},{4},{6},{8}}
[8,7,1,6,4,5,2,3]=>[4,8,1,7,2,6,5,3]=>{{1,4,7},{2,8},{3},{5},{6}}=>{{1,7},{2,5,8},{3},{4},{6}}
[3,2,8,5,6,7,1,4]=>[3,8,2,5,6,1,7,4]=>{{1,3},{2,8},{4,5,6},{7}}=>{{1,7},{2},{3,4,5},{6,8}}
[5,1,8,2,6,3,4,7]=>[1,2,8,5,6,3,7,4]=>{{1},{2},{3,8},{4,5,6},{7}}=>{{1,6},{2},{3,4,5},{7},{8}}
[3,4,6,2,1,5,8,7]=>[3,2,6,8,4,1,5,7]=>{{1,3,6},{2},{4,8},{5},{7}}=>{{1,5},{2},{3,6,8},{4},{7}}
[2,5,7,1,4,3,6,8]=>[2,5,7,4,8,1,3,6]=>{{1,2,5,8},{3,7},{4},{6}}=>{{1,4,7,8},{2,6},{3},{5}}
[2,6,5,7,1,8,4,3]=>[6,2,1,5,4,7,3,8]=>{{1,6,7},{2},{3},{4,5},{8}}=>{{1},{2,3,8},{4,5},{6},{7}}
[8,7,6,3,1,5,4,2]=>[8,3,1,7,6,5,4,2]=>{{1,8},{2,3},{4,7},{5,6}}=>{{1,8},{2,5},{3,4},{6,7}}
[3,5,1,4,7,2,6,8]=>[3,5,7,1,4,8,2,6]=>{{1,3,7},{2,5},{4},{6,8}}=>{{1,3},{2,6,8},{4,7},{5}}
[1,2,5,3,4,8,7,6]=>[8,5,1,2,7,3,4,6]=>{{1,8},{2,5,7},{3},{4},{6}}=>{{1,8},{2,4,7},{3},{5},{6}}
[3,1,8,6,7,2,4,5]=>[1,3,8,2,6,4,7,5]=>{{1},{2,3,8},{4},{5,6},{7}}=>{{1,6,7},{2},{3,4},{5},{8}}
[3,5,2,8,6,4,7,1]=>[8,3,5,2,1,6,4,7]=>{{1,8},{2,3,5},{4},{6},{7}}=>{{1,8},{2},{3},{4,6,7},{5}}
[2,8,4,6,1,3,7,5]=>[2,1,4,8,3,6,5,7]=>{{1,2},{3,4,8},{5},{6},{7}}=>{{1,5,6},{2},{3},{4},{7,8}}
[8,5,2,7,6,1,4,3]=>[8,5,7,2,1,6,4,3]=>{{1,8},{2,5},{3,7},{4},{6}}=>{{1,8},{2,6},{3},{4,7},{5}}
[8,3,7,6,2,5,1,4]=>[3,8,2,7,6,1,5,4]=>{{1,3},{2,8},{4,7},{5,6}}=>{{1,7},{2,5},{3,4},{6,8}}
[6,5,1,3,4,2,7,8]=>[1,3,6,5,7,8,4,2]=>{{1},{2,3,6,8},{4,5,7}}=>{{1,3,6,7},{2,4,5},{8}}
[7,4,8,6,3,5,2,1]=>[7,4,3,8,2,1,6,5]=>{{1,7},{2,4,8},{3},{5},{6}}=>{{1,5,7},{2,8},{3},{4},{6}}
[7,1,5,6,4,3,2,8]=>[1,7,5,4,3,6,8,2]=>{{1},{2,7,8},{3,5},{4},{6}}=>{{1,2,7},{3},{4,6},{5},{8}}
[8,6,7,1,4,5,2,3]=>[6,8,1,4,7,2,5,3]=>{{1,6},{2,8},{3},{4},{5,7}}=>{{1,7},{2,4},{3,8},{5},{6}}
[8,3,7,6,4,5,1,2]=>[3,8,1,7,6,4,5,2]=>{{1,3},{2,8},{4,7},{5,6}}=>{{1,7},{2,5},{3,4},{6,8}}
[6,1,2,3,4,5,7,8,9]=>[1,2,3,4,6,7,8,9,5]=>{{1},{2},{3},{4},{5,6,7,8,9}}=>{{1,2,3,4,5},{6},{7},{8},{9}}
[5,1,2,3,4,6,7,8,9]=>[1,2,3,5,6,7,8,9,4]=>{{1},{2},{3},{4,5,6,7,8,9}}=>{{1,2,3,4,5,6},{7},{8},{9}}
[4,1,2,3,5,6,7,8,9]=>[1,2,4,5,6,7,8,9,3]=>{{1},{2},{3,4,5,6,7,8,9}}=>{{1,2,3,4,5,6,7},{8},{9}}
[7,4,5,1,2,8,6,3]=>[7,4,1,5,8,2,6,3]=>{{1,7},{2,4,5,8},{3},{6}}=>{{1,4,5,7},{2,8},{3},{6}}
[6,8,4,2,7,3,1,5]=>[2,6,4,3,8,7,1,5]=>{{1,2,6,7},{3,4},{5,8}}=>{{1,4},{2,3,7,8},{5,6}}
[8,3,1,2,6,4,7,5]=>[3,1,6,2,4,8,7,5]=>{{1,3,6,8},{2},{4},{5},{7}}=>{{1,3,6,8},{2},{4},{5},{7}}
[1,7,8,2,4,3,5,6]=>[1,2,7,4,8,3,5,6]=>{{1},{2},{3,7},{4},{5,8},{6}}=>{{1,4},{2,6},{3},{5},{7},{8}}
[4,3,7,8,1,5,2,6]=>[4,7,3,8,1,5,6,2]=>{{1,4,8},{2,7},{3},{5},{6}}=>{{1,5,8},{2,7},{3},{4},{6}}
[1,3,2,8,7,6,4,5]=>[1,8,7,3,2,6,4,5]=>{{1},{2,8},{3,7},{4},{5},{6}}=>{{1,7},{2,6},{3},{4},{5},{8}}
[5,7,2,8,4,1,3,6]=>[5,7,8,2,1,4,3,6]=>{{1,5},{2,7},{3,8},{4},{6}}=>{{1,6},{2,7},{3},{4,8},{5}}
[1,5,8,7,6,3,2,4]=>[5,8,7,6,3,1,2,4]=>{{1,5},{2,8},{3,7},{4,6}}=>{{1,7},{2,6},{3,5},{4,8}}
[6,5,7,1,4,3,8,2]=>[6,5,7,4,8,1,3,2]=>{{1,6},{2,5,8},{3,7},{4}}=>{{1,4,7},{2,6},{3,8},{5}}
[3,2,1,4,8,5,7,6]=>[3,2,4,1,5,8,7,6]=>{{1,3,4},{2},{5},{6,8},{7}}=>{{1,3},{2},{4},{5,6,8},{7}}
[1,2,6,8,7,3,4,5]=>[1,6,8,7,2,3,4,5]=>{{1},{2,6},{3,8},{4,7},{5}}=>{{1,6},{2,5},{3,7},{4},{8}}
[6,4,2,1,8,5,3,7]=>[4,6,5,2,8,7,3,1]=>{{1,4},{2,6,7},{3,5,8}}=>{{1,4,6},{2,3,7},{5,8}}
[6,4,2,3,5,8,1,7]=>[6,8,2,4,5,7,3,1]=>{{1,6,7},{2,8},{3},{4},{5}}=>{{1,7},{2,3,8},{4},{5},{6}}
[3,2,6,7,8,4,5,1]=>[3,2,6,1,4,7,8,5]=>{{1,3,6,7,8},{2},{4},{5}}=>{{1,2,3,6,8},{4},{5},{7}}
[8,1,2,7,6,5,4,3]=>[8,7,6,5,1,2,4,3]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,8},{2,7},{3,6},{4,5}}
[6,1,8,7,4,5,2,3]=>[6,8,1,7,4,2,5,3]=>{{1,6},{2,8},{3},{4,7},{5}}=>{{1,7},{2,5},{3,8},{4},{6}}
[1,3,2,6,8,7,4,5]=>[3,8,6,1,2,7,4,5]=>{{1,3,6,7},{2,8},{4},{5}}=>{{1,7},{2,3,6,8},{4},{5}}
[1,6,2,5,8,7,3,4]=>[6,8,5,1,2,7,3,4]=>{{1,6,7},{2,8},{3,5},{4}}=>{{1,7},{2,3,8},{4,6},{5}}
[1,5,2,4,8,3,6,7]=>[1,5,8,2,4,6,3,7]=>{{1},{2,5},{3,8},{4},{6},{7}}=>{{1,6},{2},{3},{4,7},{5},{8}}
[1,2,8,3,5,4,7,6]=>[5,1,8,2,7,3,4,6]=>{{1,5,7},{2},{3,8},{4},{6}}=>{{1,6},{2,4,8},{3},{5},{7}}
[1,7,3,2,6,4,8,5]=>[3,1,7,2,8,6,4,5]=>{{1,3,7},{2},{4},{5,8},{6}}=>{{1,4},{2,6,8},{3},{5},{7}}
[5,8,7,1,2,6,3,4]=>[1,8,2,5,7,6,3,4]=>{{1},{2,8},{3},{4,5,7},{6}}=>{{1,7},{2,4,5},{3},{6},{8}}
[6,4,5,8,3,1,7,2]=>[6,4,8,5,1,3,7,2]=>{{1,6},{2,4,5},{3,8},{7}}=>{{1,6},{2},{3,8},{4,5,7}}
[2,8,3,4,1,5,6,7]=>[2,3,4,8,5,6,1,7]=>{{1,2,3,4,8},{5},{6},{7}}=>{{1,5,6,7,8},{2},{3},{4}}
[5,7,3,8,4,2,6,1]=>[5,3,7,2,1,8,4,6]=>{{1,5},{2,3,7},{4},{6,8}}=>{{1,3},{2,6,7},{4,8},{5}}
[6,3,8,7,2,5,4,1]=>[8,6,3,7,2,1,5,4]=>{{1,8},{2,6},{3},{4,7},{5}}=>{{1,8},{2,5},{3,7},{4},{6}}
[8,2,1,6,7,4,5,3]=>[8,2,6,1,4,7,5,3]=>{{1,8},{2},{3,6,7},{4},{5}}=>{{1,8},{2,3,6},{4},{5},{7}}
[4,8,2,1,6,7,5,3]=>[8,4,2,6,7,5,1,3]=>{{1,8},{2,4,6},{3},{5,7}}=>{{1,8},{2,4},{3,5,7},{6}}
[4,6,1,3,2,8,7,5]=>[4,3,1,8,6,7,2,5]=>{{1,4,8},{2,3},{5,6,7}}=>{{1,5,8},{2,3,4},{6,7}}
[1,4,7,8,3,5,2,6]=>[4,7,3,8,1,2,5,6]=>{{1,4,8},{2,7},{3},{5},{6}}=>{{1,5,8},{2,7},{3},{4},{6}}
[2,5,1,4,8,3,7,6]=>[5,2,8,1,4,7,3,6]=>{{1,5},{2},{3,8},{4},{6,7}}=>{{1,6},{2,3},{4,8},{5},{7}}
[8,4,1,7,3,5,6,2]=>[8,1,4,5,3,7,6,2]=>{{1,8},{2},{3,4,5},{6,7}}=>{{1,8},{2,3},{4,5,6},{7}}
[8,4,1,2,5,7,3,6]=>[4,5,1,2,3,8,7,6]=>{{1,4},{2,5},{3},{6,8},{7}}=>{{1,3},{2},{4,7},{5,8},{6}}
[8,3,7,2,1,6,5,4]=>[8,3,2,7,6,1,5,4]=>{{1,8},{2,3},{4,7},{5,6}}=>{{1,8},{2,5},{3,4},{6,7}}
[8,4,7,3,6,2,1,5]=>[4,8,7,3,6,2,5,1]=>{{1,4},{2,8},{3,7},{5,6}}=>{{1,7},{2,6},{3,4},{5,8}}
[1,4,5,3,8,2,7,6]=>[4,3,8,1,7,2,5,6]=>{{1,4},{2,3,8},{5,7},{6}}=>{{1,6,7},{2,4},{3},{5,8}}
[6,5,1,4,2,8,7,3]=>[6,5,1,8,2,7,4,3]=>{{1,6,7},{2,5},{3},{4,8}}=>{{1,5},{2,3,8},{4,7},{6}}
[5,1,6,8,3,7,2,4]=>[5,8,3,6,1,2,7,4]=>{{1,5},{2,8},{3},{4,6},{7}}=>{{1,7},{2},{3,5},{4,8},{6}}
[1,2,5,6,8,7,3,4]=>[5,8,6,1,2,3,4,7]=>{{1,5},{2,8},{3,6},{4},{7}}=>{{1,7},{2},{3,6},{4,8},{5}}
[1,7,5,8,6,4,2,3]=>[7,8,5,4,1,6,2,3]=>{{1,7},{2,8},{3,5},{4},{6}}=>{{1,7},{2,8},{3},{4,6},{5}}
[4,7,5,8,3,6,2,1]=>[7,4,3,8,2,5,1,6]=>{{1,7},{2,4,8},{3},{5},{6}}=>{{1,5,7},{2,8},{3},{4},{6}}
[2,4,7,8,5,6,3,1]=>[7,4,2,8,1,3,5,6]=>{{1,7},{2,4,8},{3},{5},{6}}=>{{1,5,7},{2,8},{3},{4},{6}}
[2,8,7,5,1,6,3,4]=>[2,5,1,8,7,6,3,4]=>{{1,2,5,7},{3},{4,8},{6}}=>{{1,5},{2,4,7,8},{3},{6}}
[8,7,6,4,2,1,5,3]=>[4,2,8,7,6,5,3,1]=>{{1,4,7},{2},{3,8},{5,6}}=>{{1,6},{2,5,8},{3,4},{7}}
[3,8,7,4,2,6,5,1]=>[8,3,2,7,6,4,1,5]=>{{1,8},{2,3},{4,7},{5,6}}=>{{1,8},{2,5},{3,4},{6,7}}
[4,1,5,8,3,6,2,7]=>[4,5,3,6,1,2,8,7]=>{{1,4,6},{2,5},{3},{7,8}}=>{{1,2},{3,5,8},{4,7},{6}}
[6,2,7,8,1,5,3,4]=>[6,7,2,8,1,3,5,4]=>{{1,6},{2,7},{3},{4,8},{5}}=>{{1,5},{2,7},{3,8},{4},{6}}
[7,2,5,1,6,8,3,4]=>[2,5,1,3,7,6,8,4]=>{{1,2,5,7,8},{3},{4},{6}}=>{{1,2,4,7,8},{3},{5},{6}}
[3,7,5,8,2,4,6,1]=>[7,3,5,8,2,4,1,6]=>{{1,7},{2,3,5},{4,8},{6}}=>{{1,5},{2,8},{3},{4,6,7}}
[3,6,4,5,2,8,1,7]=>[6,8,3,4,2,5,1,7]=>{{1,6},{2,8},{3},{4},{5},{7}}=>{{1,7},{2},{3,8},{4},{5},{6}}
[2,8,1,3,5,4,6,7]=>[2,3,8,5,6,7,1,4]=>{{1,2,3,8},{4,5,6,7}}=>{{1,6,7,8},{2,3,4,5}}
[6,8,2,7,1,4,3,5]=>[2,8,6,7,4,5,1,3]=>{{1,2,8},{3,6},{4,7},{5}}=>{{1,7,8},{2,5},{3,6},{4}}
[3,2,6,1,7,8,5,4]=>[3,2,1,6,7,5,8,4]=>{{1,3},{2},{4,6},{5,7,8}}=>{{1,2,4},{3,5},{6,8},{7}}
[8,6,3,5,4,1,2,7]=>[3,6,8,7,1,5,4,2]=>{{1,3,8},{2,6},{4,7},{5}}=>{{1,6,8},{2,5},{3,7},{4}}
[4,8,1,7,6,3,5,2]=>[8,1,7,4,3,6,2,5]=>{{1,8},{2},{3,7},{4},{5},{6}}=>{{1,8},{2,6},{3},{4},{5},{7}}
[5,4,8,3,1,7,2,6]=>[1,5,4,8,7,3,6,2]=>{{1},{2,5,7},{3,4,8},{6}}=>{{1,5,6},{2,4,7},{3},{8}}
[7,5,2,4,8,3,6,1]=>[7,5,8,2,4,6,3,1]=>{{1,7},{2,5},{3,8},{4},{6}}=>{{1,6},{2,8},{3},{4,7},{5}}
[5,6,3,1,4,2,7,8]=>[5,6,7,3,8,4,1,2]=>{{1,5,8},{2,6},{3,7},{4}}=>{{1,4,8},{2,6},{3,7},{5}}
[3,6,2,4,7,8,5,1]=>[3,2,1,6,7,8,4,5]=>{{1,3},{2},{4,6,8},{5,7}}=>{{1,3,5},{2,4},{6,8},{7}}
[8,4,6,1,3,7,2,5]=>[4,8,1,6,7,3,5,2]=>{{1,4,6},{2,8},{3},{5,7}}=>{{1,7},{2,4},{3,5,8},{6}}
[7,5,8,1,6,2,4,3]=>[7,1,5,4,8,2,6,3]=>{{1,7},{2},{3,5,8},{4},{6}}=>{{1,4,6},{2,8},{3},{5},{7}}
[7,5,2,4,8,3,1,6]=>[7,8,5,2,4,6,3,1]=>{{1,7},{2,8},{3,5},{4},{6}}=>{{1,7},{2,8},{3},{4,6},{5}}
[7,8,3,6,4,1,5,2]=>[7,3,8,6,4,5,1,2]=>{{1,7},{2,3,8},{4,6},{5}}=>{{1,6,7},{2,8},{3,5},{4}}
[7,5,2,8,1,4,6,3]=>[7,2,5,8,1,6,4,3]=>{{1,7},{2},{3,5},{4,8},{6}}=>{{1,5},{2,8},{3},{4,6},{7}}
[3,7,8,2,1,6,4,5]=>[3,7,2,8,6,1,4,5]=>{{1,3},{2,7},{4,8},{5,6}}=>{{1,5},{2,7},{3,4},{6,8}}
[1,2,3,4,5,8,9,6,7]=>[8,9,1,2,3,4,5,6,7]=>{{1,8},{2,9},{3},{4},{5},{6},{7}}=>{{1,8},{2,9},{3},{4},{5},{6},{7}}
[1,7,8,4,3,6,2,5]=>[7,8,4,6,3,1,2,5]=>{{1,7},{2,8},{3,4,6},{5}}=>{{1,7},{2,8},{3,5,6},{4}}
[6,3,1,4,2,7,8,5]=>[3,1,6,7,4,8,5,2]=>{{1,3,6,8},{2},{4,7},{5}}=>{{1,3,6,8},{2,5},{4},{7}}
[1,2,8,4,3,7,6,5]=>[8,4,1,7,6,2,3,5]=>{{1,8},{2,4,7},{3},{5,6}}=>{{1,8},{2,5,7},{3,4},{6}}
[7,5,1,8,3,2,6,4]=>[7,1,8,5,3,6,4,2]=>{{1,7},{2},{3,8},{4,5},{6}}=>{{1,6},{2,8},{3},{4,5},{7}}
[5,7,8,1,4,2,6,3]=>[5,4,7,6,8,1,2,3]=>{{1,5,8},{2,4,6},{3,7}}=>{{1,4,8},{2,6},{3,5,7}}
[2,8,1,7,5,3,6,4]=>[2,1,8,7,5,6,3,4]=>{{1,2},{3,8},{4,7},{5},{6}}=>{{1,6},{2,5},{3},{4},{7,8}}
[4,8,2,6,3,5,1,7]=>[2,8,4,6,3,7,1,5]=>{{1,2,8},{3,4,6,7},{5}}=>{{1,7,8},{2,3,5,6},{4}}
[4,1,8,5,3,6,7,2]=>[8,4,5,6,3,1,7,2]=>{{1,8},{2,4,6},{3,5},{7}}=>{{1,8},{2},{3,5,7},{4,6}}
[3,2,6,8,5,4,7,1]=>[6,3,5,2,1,4,8,7]=>{{1,6},{2,3,5},{4},{7,8}}=>{{1,2},{3,8},{4,6,7},{5}}
[6,5,8,7,4,2,1,3]=>[6,8,5,4,2,1,7,3]=>{{1,6},{2,8},{3,5},{4},{7}}=>{{1,7},{2},{3,8},{4,6},{5}}
[3,6,2,4,8,5,7,1]=>[3,2,4,1,6,8,5,7]=>{{1,3,4},{2},{5,6,8},{7}}=>{{1,3,4},{2},{5,6,8},{7}}
[2,4,8,3,7,6,5,1]=>[8,7,4,2,6,1,3,5]=>{{1,8},{2,7},{3,4},{5,6}}=>{{1,8},{2,7},{3,4},{5,6}}
[3,6,8,2,5,7,4,1]=>[6,3,2,5,8,1,4,7]=>{{1,6},{2,3},{4,5,8},{7}}=>{{1,4,5},{2},{3,8},{6,7}}
[4,6,8,3,2,5,7,1]=>[4,3,6,8,2,1,5,7]=>{{1,4,8},{2,3,6},{5},{7}}=>{{1,5,8},{2},{3,6,7},{4}}
[6,3,8,5,7,2,4,1]=>[6,3,8,2,5,1,7,4]=>{{1,6},{2,3,8},{4},{5},{7}}=>{{1,6,7},{2},{3,8},{4},{5}}
[8,2,1,7,5,3,6,4]=>[2,1,8,5,3,7,6,4]=>{{1,2},{3,8},{4,5},{6,7}}=>{{1,6},{2,3},{4,5},{7,8}}
[4,7,8,3,5,6,1,2]=>[4,7,3,5,8,1,2,6]=>{{1,4,5,8},{2,7},{3},{6}}=>{{1,4,5,8},{2,7},{3},{6}}
[8,6,1,2,3,5,7,4]=>[8,1,2,3,6,7,5,4]=>{{1,8},{2},{3},{4},{5,6,7}}=>{{1,8},{2,3,4},{5},{6},{7}}
[6,1,4,2,8,7,3,5]=>[1,6,4,2,8,3,7,5]=>{{1},{2,6},{3,4},{5,8},{7}}=>{{1,4},{2},{3,7},{5,6},{8}}
[3,7,2,6,8,4,5,1]=>[7,3,6,2,4,8,1,5]=>{{1,7},{2,3,6,8},{4},{5}}=>{{1,3,6,7},{2,8},{4},{5}}
[2,1,7,6,8,4,5,3]=>[7,2,6,1,4,3,8,5]=>{{1,7,8},{2},{3,6},{4},{5}}=>{{1,2,8},{3,6},{4},{5},{7}}
[6,4,7,2,8,3,1,5]=>[6,7,4,2,8,3,5,1]=>{{1,6},{2,7},{3,4},{5,8}}=>{{1,4},{2,7},{3,8},{5,6}}
[4,7,3,1,5,2,8,6]=>[4,3,7,5,8,6,1,2]=>{{1,4,5,8},{2,3,7},{6}}=>{{1,4,5,8},{2,6,7},{3}}
[2,8,3,1,7,4,5,6]=>[2,3,4,1,8,7,5,6]=>{{1,2,3,4},{5,8},{6,7}}=>{{1,4},{2,3},{5,6,7,8}}
[6,7,5,2,1,4,8,3]=>[6,2,7,8,5,4,1,3]=>{{1,6},{2},{3,7},{4,8},{5}}=>{{1,5},{2,6},{3,8},{4},{7}}
[3,6,1,5,2,7,8,4]=>[3,1,6,7,5,8,2,4]=>{{1,3,6,8},{2},{4,7},{5}}=>{{1,3,6,8},{2,5},{4},{7}}
[4,3,8,5,7,1,6,2]=>[8,4,7,3,5,1,6,2]=>{{1,8},{2,4},{3,7},{5},{6}}=>{{1,8},{2,6},{3},{4},{5,7}}
[5,3,8,4,7,1,6,2]=>[8,5,7,3,4,1,6,2]=>{{1,8},{2,5},{3,7},{4},{6}}=>{{1,8},{2,6},{3},{4,7},{5}}
[2,7,8,5,1,4,6,3]=>[7,2,5,8,4,1,3,6]=>{{1,7},{2},{3,5},{4,8},{6}}=>{{1,5},{2,8},{3},{4,6},{7}}
[5,7,6,8,2,1,3,4]=>[5,7,8,6,2,3,1,4]=>{{1,5},{2,7},{3,8},{4,6}}=>{{1,6},{2,7},{3,5},{4,8}}
[2,8,5,1,4,3,7,6]=>[2,1,8,5,7,4,3,6]=>{{1,2},{3,8},{4,5,7},{6}}=>{{1,6},{2,4,5},{3},{7,8}}
[5,3,6,4,7,2,1,8]=>[5,6,3,2,7,1,8,4]=>{{1,5,7,8},{2,6},{3},{4}}=>{{1,2,4,8},{3,7},{5},{6}}
[3,2,7,5,8,4,1,6]=>[3,7,5,2,4,1,8,6]=>{{1,3,5},{2,7,8},{4},{6}}=>{{1,2,7},{3},{4,6,8},{5}}
[3,7,4,8,2,1,5,6]=>[3,7,8,4,2,5,1,6]=>{{1,3,8},{2,7},{4},{5},{6}}=>{{1,6,8},{2,7},{3},{4},{5}}
[4,7,5,8,3,2,6,1]=>[7,4,8,3,2,5,1,6]=>{{1,7},{2,4},{3,8},{5},{6}}=>{{1,6},{2,8},{3},{4},{5,7}}
[4,2,5,3,7,8,6,1]=>[4,2,1,5,7,3,8,6]=>{{1,4,5,7,8},{2},{3},{6}}=>{{1,2,4,5,8},{3},{6},{7}}
[7,8,6,2,3,5,4,1]=>[7,6,2,5,8,3,1,4]=>{{1,7},{2,6},{3},{4,5,8}}=>{{1,4,5},{2,8},{3,7},{6}}
[5,8,2,6,3,7,4,1]=>[8,5,2,6,3,7,1,4]=>{{1,8},{2,5},{3},{4,6,7}}=>{{1,8},{2,3,5},{4,7},{6}}
[6,2,7,5,3,8,4,1]=>[6,5,2,7,3,1,8,4]=>{{1,6},{2,5},{3},{4,7,8}}=>{{1,2,5},{3,8},{4,7},{6}}
[6,7,2,8,4,3,1,5]=>[6,7,4,2,1,8,3,5]=>{{1,6,8},{2,7},{3,4},{5}}=>{{1,3,8},{2,7},{4},{5,6}}
[4,7,8,3,1,5,2,6]=>[4,7,3,8,5,1,2,6]=>{{1,4,8},{2,7},{3},{5},{6}}=>{{1,5,8},{2,7},{3},{4},{6}}
[4,7,8,1,6,3,2,5]=>[4,7,6,3,8,1,2,5]=>{{1,4},{2,7},{3,6},{5,8}}=>{{1,4},{2,7},{3,6},{5,8}}
[2,3,8,6,4,7,5,1]=>[8,6,2,7,3,1,4,5]=>{{1,8},{2,6},{3},{4,7},{5}}=>{{1,8},{2,5},{3,7},{4},{6}}
[7,5,8,3,6,4,2,1]=>[7,5,3,2,8,1,6,4]=>{{1,7},{2,5,8},{3},{4},{6}}=>{{1,4,7},{2,8},{3},{5},{6}}
[1,3,7,8,4,2,6,5]=>[7,3,8,6,1,2,4,5]=>{{1,7},{2,3,8},{4,6},{5}}=>{{1,6,7},{2,8},{3,5},{4}}
[6,1,2,5,3,4,7,8]=>[1,2,3,6,5,7,8,4]=>{{1},{2},{3},{4,6,7,8},{5}}=>{{1,2,3,5},{4},{6},{7},{8}}
[6,1,2,3,5,4,7,8,9]=>[1,2,3,6,5,7,8,9,4]=>{{1},{2},{3},{4,6,7,8,9},{5}}=>{{1,2,3,4,6},{5},{7},{8},{9}}
[6,1,2,5,4,3,7,8]=>[1,2,6,5,4,7,8,3]=>{{1},{2},{3,6,7,8},{4,5}}=>{{1,2,3,6},{4,5},{7},{8}}
[5,1,4,6,7,3,2,8]=>[1,5,4,3,6,7,8,2]=>{{1},{2,5,6,7,8},{3,4}}=>{{1,2,3,4,7},{5,6},{8}}
[8,1,7,5,4,2,6,3]=>[5,1,8,7,6,2,4,3]=>{{1,5,6},{2},{3,8},{4,7}}=>{{1,6},{2,5},{3,4,8},{7}}
[8,4,5,1,3,7,6,2]=>[8,4,1,5,7,3,6,2]=>{{1,8},{2,4,5,7},{3},{6}}=>{{1,8},{2,4,5,7},{3},{6}}
[2,7,3,1,4,8,6,5]=>[7,2,1,3,8,6,4,5]=>{{1,7},{2},{3},{4},{5,8},{6}}=>{{1,4},{2,8},{3},{5},{6},{7}}
[5,8,6,3,1,2,7,4]=>[5,1,6,8,7,3,2,4]=>{{1,5,7},{2},{3,6},{4,8}}=>{{1,5},{2,4,8},{3,6},{7}}
[5,4,2,1,8,7,3,6]=>[2,5,4,3,8,7,6,1]=>{{1,2,5,8},{3,4},{6,7}}=>{{1,4,7,8},{2,3},{5,6}}
[1,4,2,6,7,8,5,3]=>[6,4,1,2,5,7,3,8]=>{{1,6,7},{2,4},{3},{5},{8}}=>{{1},{2,3,8},{4},{5,7},{6}}
[8,2,6,3,7,5,1,4]=>[6,8,2,1,7,3,5,4]=>{{1,6},{2,8},{3},{4},{5,7}}=>{{1,7},{2,4},{3,8},{5},{6}}
[1,7,6,4,3,2,8,5]=>[7,1,8,6,4,3,2,5]=>{{1,7},{2},{3,8},{4,6},{5}}=>{{1,6},{2,8},{3,5},{4},{7}}
[1,2,7,4,3,8,6,5]=>[7,4,1,8,6,2,3,5]=>{{1,7},{2,4,8},{3},{5,6}}=>{{1,5,7},{2,8},{3,4},{6}}
[1,5,4,2,3,8,7,6]=>[5,4,1,2,8,7,3,6]=>{{1,5,8},{2,4},{3},{6,7}}=>{{1,4,8},{2,3},{5,7},{6}}
[7,5,6,1,3,2,8,4]=>[5,1,7,6,8,3,4,2]=>{{1,5,8},{2},{3,7},{4,6}}=>{{1,4,8},{2,6},{3,5},{7}}
[4,2,7,6,8,3,5,1]=>[7,4,6,2,3,1,8,5]=>{{1,7,8},{2,4},{3,6},{5}}=>{{1,2,8},{3,6},{4},{5,7}}
[3,2,6,4,8,5,7,1]=>[3,2,4,1,6,5,8,7]=>{{1,3,4},{2},{5,6},{7,8}}=>{{1,2},{3,4},{5,6,8},{7}}
[4,2,8,3,6,5,7,1]=>[8,2,4,3,6,1,7,5]=>{{1,8},{2},{3,4},{5,6},{7}}=>{{1,8},{2},{3,4},{5,6},{7}}
[6,2,8,5,7,1,4,3]=>[6,5,8,2,4,1,7,3]=>{{1,6},{2,5},{3,8},{4},{7}}=>{{1,6},{2},{3,8},{4,7},{5}}
[5,2,7,6,8,1,4,3]=>[7,5,6,2,4,1,8,3]=>{{1,7,8},{2,5},{3,6},{4}}=>{{1,2,8},{3,6},{4,7},{5}}
[7,2,8,1,6,3,5,4]=>[7,2,6,3,8,1,5,4]=>{{1,7},{2},{3,6},{4},{5,8}}=>{{1,4},{2,8},{3,6},{5},{7}}
[7,1,4,2,3,8,6,5]=>[7,4,1,2,8,3,6,5]=>{{1,7},{2,4},{3},{5,8},{6}}=>{{1,4},{2,8},{3},{5,7},{6}}
[3,4,2,7,8,1,5,6]=>[3,7,8,2,4,5,1,6]=>{{1,3,8},{2,7},{4},{5},{6}}=>{{1,6,8},{2,7},{3},{4},{5}}
[7,3,5,4,1,2,6,8]=>[3,5,7,8,6,1,4,2]=>{{1,3,7},{2,5,6},{4,8}}=>{{1,5},{2,6,8},{3,4,7}}
[3,5,1,4,7,2,8,6]=>[3,1,5,4,7,8,2,6]=>{{1,3,5,7},{2},{4},{6,8}}=>{{1,3},{2,4,6,8},{5},{7}}
[2,1,5,3,7,4,9,6,8]=>[2,3,1,5,4,7,6,9,8]=>{{1,2,3},{4,5},{6,7},{8,9}}=>{{1,2},{3,4},{5,6},{7,8,9}}
[1,5,3,8,4,2,7,6]=>[5,1,8,3,2,7,4,6]=>{{1,5},{2},{3,8},{4},{6,7}}=>{{1,6},{2,3},{4,8},{5},{7}}
[8,1,7,3,2,5,6,4]=>[3,1,2,8,7,5,6,4]=>{{1,3},{2},{4,8},{5,7},{6}}=>{{1,5},{2,4},{3},{6,8},{7}}
[4,5,1,2,7,8,6,3]=>[7,4,1,5,6,8,2,3]=>{{1,7},{2,4,5,6,8},{3}}=>{{1,3,4,5,7},{2,8},{6}}
[8,2,4,1,3,6,7,5]=>[2,1,4,6,8,3,7,5]=>{{1,2},{3,4,6},{5,8},{7}}=>{{1,4},{2},{3,5,6},{7,8}}
[5,6,1,3,7,2,8,4]=>[5,1,6,3,7,8,2,4]=>{{1,5,7},{2},{3,6,8},{4}}=>{{1,3,6},{2,4,8},{5},{7}}
[7,1,8,5,6,4,2,3]=>[7,8,5,1,4,2,6,3]=>{{1,7},{2,8},{3,5},{4},{6}}=>{{1,7},{2,8},{3},{4,6},{5}}
[8,6,1,5,2,3,4,7]=>[1,2,3,8,6,7,5,4]=>{{1},{2},{3},{4,8},{5,6,7}}=>{{1,5},{2,3,4},{6},{7},{8}}
[8,1,3,5,6,7,2,4]=>[3,8,1,2,5,6,7,4]=>{{1,3},{2,8},{4},{5},{6},{7}}=>{{1,7},{2},{3},{4},{5},{6,8}}
[3,1,6,4,2,5,8,7]=>[3,1,4,6,5,2,8,7]=>{{1,3,4,6},{2},{5},{7,8}}=>{{1,2},{3,5,6,8},{4},{7}}
[5,4,2,3,6,8,1,7]=>[5,8,2,4,6,7,3,1]=>{{1,5,6,7},{2,8},{3},{4}}=>{{1,7},{2,3,4,8},{5},{6}}
[8,2,6,3,5,7,1,4]=>[2,8,1,3,6,5,7,4]=>{{1,2,8},{3},{4},{5,6},{7}}=>{{1,7,8},{2},{3,4},{5},{6}}
[3,1,7,8,6,2,5,4]=>[7,3,6,5,1,2,8,4]=>{{1,7,8},{2,3,6},{4,5}}=>{{1,2,8},{3,6,7},{4,5}}
[2,8,1,6,5,3,7,4]=>[2,1,8,6,5,7,3,4]=>{{1,2},{3,8},{4,6,7},{5}}=>{{1,6},{2,3,5},{4},{7,8}}
[2,1,5,7,6,3,8,4]=>[2,1,7,5,3,6,8,4]=>{{1,2},{3,7,8},{4,5},{6}}=>{{1,2,6},{3},{4,5},{7,8}}
[4,3,5,1,7,8,6,2]=>[4,3,1,5,7,6,8,2]=>{{1,4,5,7,8},{2,3},{6}}=>{{1,2,4,5,8},{3},{6,7}}
[1,8,5,2,3,4,7,6]=>[5,1,2,3,8,7,4,6]=>{{1,5,8},{2},{3},{4},{6,7}}=>{{1,4,8},{2,3},{5},{6},{7}}
[1,9,6,2,3,4,5,8,7]=>[6,1,2,3,4,9,8,5,7]=>{{1,6,9},{2},{3},{4},{5},{7,8}}=>{{1,4,9},{2,3},{5},{6},{7},{8}}
[1,2,7,8,4,5,6,3]=>[7,1,4,8,2,3,5,6]=>{{1,7},{2},{3,4,8},{5},{6}}=>{{1,5,6},{2,8},{3},{4},{7}}
[4,3,6,5,2,8,1,7]=>[4,6,3,5,2,1,8,7]=>{{1,4,5},{2,6},{3},{7,8}}=>{{1,2},{3,7},{4,5,8},{6}}
[4,7,2,8,3,1,6,5]=>[4,2,7,6,1,8,3,5]=>{{1,4,6,8},{2},{3,7},{5}}=>{{1,3,5,8},{2,6},{4},{7}}
[1,2,5,6,8,3,7,4]=>[8,5,6,1,2,3,4,7]=>{{1,8},{2,5},{3,6},{4},{7}}=>{{1,8},{2},{3,6},{4,7},{5}}
[5,1,7,2,8,6,3,4]=>[1,7,5,2,6,3,8,4]=>{{1},{2,7,8},{3,5,6},{4}}=>{{1,2,7},{3,4,6},{5},{8}}
[5,8,6,3,2,1,4,7]=>[5,6,8,7,3,2,1,4]=>{{1,5},{2,6},{3,8},{4,7}}=>{{1,6},{2,5},{3,7},{4,8}}
[6,3,7,5,2,4,1,8]=>[6,7,3,8,2,1,5,4]=>{{1,6},{2,7},{3},{4,8},{5}}=>{{1,5},{2,7},{3,8},{4},{6}}
[1,3,8,2,4,6,7,5]=>[8,1,3,4,6,2,5,7]=>{{1,8},{2},{3},{4},{5,6},{7}}=>{{1,8},{2},{3,4},{5},{6},{7}}
[2,7,6,3,8,5,1,4]=>[7,8,2,1,6,5,3,4]=>{{1,7},{2,8},{3},{4},{5,6}}=>{{1,7},{2,8},{3,4},{5},{6}}
[2,4,8,5,6,3,1,7]=>[2,8,4,3,5,1,6,7]=>{{1,2,8},{3,4},{5},{6},{7}}=>{{1,7,8},{2},{3},{4},{5,6}}
[8,5,3,6,4,7,2,1]=>[8,5,3,6,2,7,4,1]=>{{1,8},{2,5},{3},{4,6,7}}=>{{1,8},{2,3,5},{4,7},{6}}
[1,2,8,3,4,7,6,5]=>[8,7,1,2,6,3,4,5]=>{{1,8},{2,7},{3},{4},{5,6}}=>{{1,8},{2,7},{3,4},{5},{6}}
[6,8,5,2,7,1,3,4]=>[2,6,8,5,7,3,1,4]=>{{1,2,6},{3,8},{4,5,7}}=>{{1,6},{2,4,5},{3,7,8}}
[6,2,3,7,4,5,8,1]=>[6,2,3,4,1,7,8,5]=>{{1,6,7,8},{2},{3},{4},{5}}=>{{1,2,3,8},{4},{5},{6},{7}}
[6,4,2,7,1,5,8,3]=>[6,4,7,8,2,5,3,1]=>{{1,6},{2,4,8},{3,7},{5}}=>{{1,5,7},{2,6},{3,8},{4}}
[1,8,7,2,4,6,3,5]=>[4,8,1,2,7,6,3,5]=>{{1,4},{2,8},{3},{5,7},{6}}=>{{1,7},{2,4},{3},{5,8},{6}}
[1,7,6,2,3,5,8,4]=>[7,1,2,3,6,5,4,8]=>{{1,7},{2},{3},{4},{5,6},{8}}=>{{1},{2,8},{3,4},{5},{6},{7}}
[1,8,6,5,2,4,7,3]=>[8,1,2,6,5,4,3,7]=>{{1,8},{2},{3},{4,6},{5},{7}}=>{{1,8},{2},{3,5},{4},{6},{7}}
[7,3,2,6,1,5,8,4]=>[3,2,7,8,1,6,5,4]=>{{1,3,7},{2},{4,8},{5},{6}}=>{{1,5},{2,6,8},{3},{4},{7}}
[6,2,1,7,5,8,4,3]=>[6,5,2,7,1,8,4,3]=>{{1,6,8},{2,5},{3},{4,7}}=>{{1,3,8},{2,5},{4,7},{6}}
[6,5,1,3,7,8,2,4]=>[6,7,1,3,5,8,4,2]=>{{1,6,8},{2,7},{3},{4},{5}}=>{{1,3,8},{2,7},{4},{5},{6}}
[6,1,4,7,8,2,3,5]=>[6,7,8,1,2,4,5,3]=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}
[6,1,8,7,5,2,3,4]=>[1,2,8,6,5,3,7,4]=>{{1},{2},{3,8},{4,6},{5},{7}}=>{{1,6},{2},{3,5},{4},{7},{8}}
[6,7,8,5,1,2,4,3]=>[6,5,7,8,4,1,2,3]=>{{1,6},{2,5},{3,7},{4,8}}=>{{1,5},{2,6},{3,8},{4,7}}
[4,3,8,5,6,2,7,1]=>[4,3,5,2,6,1,8,7]=>{{1,4},{2,3,5,6},{7,8}}=>{{1,2},{3,4,6,7},{5,8}}
[4,3,8,6,7,2,5,1]=>[4,3,8,2,6,1,7,5]=>{{1,4},{2,3,8},{5,6},{7}}=>{{1,6,7},{2},{3,4},{5,8}}
[7,6,8,1,5,3,4,2]=>[7,1,6,5,8,3,4,2]=>{{1,7},{2},{3,6},{4,5,8}}=>{{1,4,5},{2,8},{3,6},{7}}
[7,4,6,1,5,3,8,2]=>[7,4,6,5,8,1,3,2]=>{{1,7},{2,4,5,8},{3,6}}=>{{1,4,5,7},{2,8},{3,6}}
[6,3,8,1,7,2,5,4]=>[8,1,6,3,7,2,5,4]=>{{1,8},{2},{3,6},{4},{5,7}}=>{{1,8},{2,4},{3,6},{5},{7}}
[6,1,5,4,8,2,7,3]=>[6,5,8,1,7,2,4,3]=>{{1,6},{2,5,7},{3,8},{4}}=>{{1,6},{2,4,7},{3,8},{5}}
[6,2,5,4,7,1,8,3]=>[2,1,6,5,7,4,8,3]=>{{1,2},{3,6},{4,5,7,8}}=>{{1,2,4,5},{3,6},{7,8}}
[4,6,8,2,3,5,1,7]=>[2,4,3,6,8,1,5,7]=>{{1,2,4,6},{3},{5,8},{7}}=>{{1,4},{2},{3,5,7,8},{6}}
[8,7,3,2,1,6,4,5]=>[3,4,2,8,7,6,5,1]=>{{1,3},{2,4,8},{5,7},{6}}=>{{1,5,7},{2,4},{3},{6,8}}
[7,8,3,4,6,5,2,1]=>[7,6,3,2,4,8,1,5]=>{{1,7},{2,6,8},{3},{4},{5}}=>{{1,3,7},{2,8},{4},{5},{6}}
[3,6,8,5,7,4,2,1]=>[6,5,3,2,8,1,4,7]=>{{1,6},{2,5,8},{3},{4},{7}}=>{{1,4,7},{2},{3,8},{5},{6}}
[6,7,5,4,8,1,3,2]=>[6,5,7,1,4,3,2,8]=>{{1,6},{2,5},{3,7},{4},{8}}=>{{1},{2,6},{3,8},{4,7},{5}}
[6,4,8,7,5,3,2,1]=>[8,6,4,3,2,1,7,5]=>{{1,8},{2,6},{3,4},{5},{7}}=>{{1,8},{2},{3,7},{4},{5,6}}
[3,2,7,6,8,4,5,1]=>[7,3,6,2,4,1,8,5]=>{{1,7,8},{2,3,6},{4},{5}}=>{{1,2,8},{3,6,7},{4},{5}}
[3,6,5,1,7,2,4,8]=>[3,6,7,1,8,5,2,4]=>{{1,3,7},{2,6},{4},{5,8}}=>{{1,4},{2,6,8},{3,7},{5}}
[3,6,5,2,1,4,7,8]=>[3,6,7,8,5,2,1,4]=>{{1,3,7},{2,6},{4,8},{5}}=>{{1,5},{2,6,8},{3,7},{4}}
[5,4,2,6,3,7,8,1]=>[5,4,6,7,2,8,3,1]=>{{1,5},{2,4,7},{3,6,8}}=>{{1,3,6},{2,5,7},{4,8}}
[4,1,6,5,3,7,8,2]=>[6,4,5,7,3,1,8,2]=>{{1,6},{2,4,7,8},{3,5}}=>{{1,2,5,7},{3,8},{4,6}}
[4,1,6,5,2,7,3,8]=>[4,6,1,7,5,2,8,3]=>{{1,4,7,8},{2,6},{3},{5}}=>{{1,2,5,8},{3,7},{4},{6}}
[4,6,5,2,1,7,3,8]=>[4,6,2,7,5,3,1,8]=>{{1,4,7},{2,6},{3},{5},{8}}=>{{1},{2,5,8},{3,7},{4},{6}}
[2,6,8,5,1,7,4,3]=>[6,5,2,8,4,1,3,7]=>{{1,6},{2,5},{3},{4,8},{7}}=>{{1,5},{2},{3,8},{4,7},{6}}
[2,7,4,6,3,8,5,1]=>[7,4,2,6,3,5,1,8]=>{{1,7},{2,4,6},{3},{5},{8}}=>{{1},{2,8},{3,5,7},{4},{6}}
[5,1,8,4,3,2,6,7]=>[1,5,6,4,3,2,8,7]=>{{1},{2,5},{3,6},{4},{7,8}}=>{{1,2},{3,6},{4,7},{5},{8}}
[3,1,5,7,8,4,6,2]=>[5,3,4,1,2,7,8,6]=>{{1,5},{2,3,4},{6,7,8}}=>{{1,2,3},{4,8},{5,6,7}}
[3,8,7,1,4,2,5,6]=>[3,4,8,5,7,6,1,2]=>{{1,3,8},{2,4,5,7},{6}}=>{{1,6,8},{2,4,5,7},{3}}
[1,3,8,4,7,5,2,6]=>[1,8,7,3,4,2,5,6]=>{{1},{2,8},{3,7},{4},{5},{6}}=>{{1,7},{2,6},{3},{4},{5},{8}}
[5,7,2,1,6,8,3,4]=>[5,7,2,3,8,6,1,4]=>{{1,5,8},{2,7},{3},{4},{6}}=>{{1,4,8},{2,7},{3},{5},{6}}
[3,8,7,4,5,2,6,1]=>[8,3,7,4,5,2,1,6]=>{{1,8},{2,3,7},{4},{5},{6}}=>{{1,8},{2,6,7},{3},{4},{5}}
[6,5,2,4,1,3,8,7]=>[2,1,6,8,5,7,4,3]=>{{1,2},{3,6,7},{4,8},{5}}=>{{1,5},{2,3,6},{4},{7,8}}
[8,7,4,5,1,2,6,3]=>[4,1,5,8,2,7,6,3]=>{{1,4,8},{2},{3,5},{6,7}}=>{{1,5,8},{2,3},{4,6},{7}}
[3,4,8,2,1,7,6,5]=>[8,3,2,7,6,1,4,5]=>{{1,8},{2,3},{4,7},{5,6}}=>{{1,8},{2,5},{3,4},{6,7}}
[8,4,3,7,5,1,2,6]=>[4,5,8,3,1,7,6,2]=>{{1,4},{2,5},{3,8},{6,7}}=>{{1,6},{2,3},{4,7},{5,8}}
[8,5,7,6,4,3,1,2]=>[5,8,7,6,4,1,3,2]=>{{1,5},{2,8},{3,7},{4,6}}=>{{1,7},{2,6},{3,5},{4,8}}
[8,3,5,7,6,2,4,1]=>[8,3,7,5,2,4,6,1]=>{{1,8},{2,3,7},{4,5},{6}}=>{{1,8},{2,6,7},{3},{4,5}}
[3,6,2,4,8,1,7,5]=>[3,2,8,1,6,7,4,5]=>{{1,3,8},{2},{4},{5,6,7}}=>{{1,6,8},{2,3,4},{5},{7}}
[5,1,7,8,3,6,2,4]=>[5,7,3,6,1,2,8,4]=>{{1,5},{2,7,8},{3},{4,6}}=>{{1,2,7},{3,5},{4,8},{6}}
[4,3,8,6,5,2,7,1]=>[8,4,6,3,2,1,7,5]=>{{1,8},{2,4},{3,6},{5},{7}}=>{{1,8},{2},{3,6},{4},{5,7}}
[7,3,2,6,1,4,8,5]=>[3,2,7,8,4,6,5,1]=>{{1,3,7},{2},{4,8},{5},{6}}=>{{1,5},{2,6,8},{3},{4},{7}}
[3,2,5,6,8,4,1,7]=>[3,5,2,1,4,6,8,7]=>{{1,3},{2,5},{4},{6},{7,8}}=>{{1,2},{3},{4,7},{5},{6,8}}
[7,2,6,8,5,4,3,1]=>[7,6,5,4,2,3,8,1]=>{{1,7,8},{2,6},{3,5},{4}}=>{{1,2,8},{3,7},{4,6},{5}}
[6,3,1,2,7,8,4,5]=>[6,7,1,3,4,8,5,2]=>{{1,6,8},{2,7},{3},{4},{5}}=>{{1,3,8},{2,7},{4},{5},{6}}
[8,4,7,1,2,5,3,6]=>[1,8,4,5,7,2,6,3]=>{{1},{2,8},{3,4,5,7},{6}}=>{{1,7},{2,4,5,6},{3},{8}}
[1,7,4,8,3,6,2,5]=>[7,8,4,6,1,3,2,5]=>{{1,7},{2,8},{3,4,6},{5}}=>{{1,7},{2,8},{3,5,6},{4}}
[7,8,6,1,3,5,4,2]=>[7,6,1,5,8,3,2,4]=>{{1,7},{2,6},{3},{4,5,8}}=>{{1,4,5},{2,8},{3,7},{6}}
[1,7,5,8,4,3,2,6]=>[7,8,5,4,1,3,2,6]=>{{1,7},{2,8},{3,5},{4},{6}}=>{{1,7},{2,8},{3},{4,6},{5}}
[4,5,6,2,7,8,3,1]=>[4,2,1,5,6,3,7,8]=>{{1,4,5,6},{2},{3},{7},{8}}=>{{1},{2},{3,4,5,8},{6},{7}}
[4,5,6,2,1,7,3,8]=>[4,5,2,6,3,1,7,8]=>{{1,4,6},{2,5},{3},{7},{8}}=>{{1},{2},{3,5,8},{4,7},{6}}
[2,5,4,8,6,7,3,1]=>[5,4,2,3,1,8,6,7]=>{{1,5},{2,4},{3},{6,8},{7}}=>{{1,3},{2},{4,8},{5,7},{6}}
[8,4,7,5,1,6,3,2]=>[8,4,1,7,5,3,6,2]=>{{1,8},{2,4,7},{3},{5},{6}}=>{{1,8},{2,5,7},{3},{4},{6}}
[7,8,1,4,3,2,5,6]=>[1,4,7,5,3,8,2,6]=>{{1},{2,4,5},{3,7},{6,8}}=>{{1,3},{2,6},{4,5,7},{8}}
[6,4,3,7,5,8,2,1]=>[6,4,3,7,2,8,5,1]=>{{1,6,8},{2,4,7},{3},{5}}=>{{1,3,8},{2,5,7},{4},{6}}
[8,7,6,2,1,5,3,4]=>[2,3,1,8,7,6,5,4]=>{{1,2,3},{4,8},{5,7},{6}}=>{{1,5},{2,4},{3},{6,7,8}}
[4,2,6,3,5,1,7,8]=>[2,4,6,3,7,1,8,5]=>{{1,2,4},{3,6},{5,7,8}}=>{{1,2,4},{3,6},{5,7,8}}
[6,4,7,1,3,5,2,8]=>[1,6,4,7,8,3,5,2]=>{{1},{2,6},{3,4,7},{5,8}}=>{{1,4},{2,5,6},{3,7},{8}}
[6,8,1,3,5,7,4,2]=>[6,5,1,3,4,8,2,7]=>{{1,6,8},{2,5},{3},{4},{7}}=>{{1,3,8},{2},{4,7},{5},{6}}
[4,5,2,6,1,3,7,8]=>[4,5,6,7,2,3,1,8]=>{{1,4,7},{2,5},{3,6},{8}}=>{{1},{2,5,8},{3,6},{4,7}}
[5,3,1,6,4,7,2,8]=>[5,6,3,7,1,8,4,2]=>{{1,5},{2,6,8},{3},{4,7}}=>{{1,3,7},{2,5},{4,8},{6}}
[1,3,4,7,5,8,6,2]=>[7,3,1,8,2,4,5,6]=>{{1,7},{2,3},{4,8},{5},{6}}=>{{1,5},{2,8},{3},{4},{6,7}}
[5,8,7,1,4,6,3,2]=>[8,5,1,4,7,3,2,6]=>{{1,8},{2,5,7},{3},{4},{6}}=>{{1,8},{2,4,7},{3},{5},{6}}
[4,6,5,1,2,7,3,8]=>[4,6,1,7,8,5,2,3]=>{{1,4,7},{2,6},{3},{5,8}}=>{{1,4},{2,5,8},{3,7},{6}}
[2,6,7,8,3,1,4,5]=>[6,7,8,2,1,3,4,5]=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}
[2,7,8,1,6,5,3,4]=>[2,7,6,5,8,1,3,4]=>{{1,2,7},{3,6},{4,5,8}}=>{{1,4,5},{2,7,8},{3,6}}
[2,4,5,8,1,7,6,3]=>[8,7,2,4,1,3,5,6]=>{{1,8},{2,7},{3},{4},{5},{6}}=>{{1,8},{2,7},{3},{4},{5},{6}}
[1,6,2,4,8,3,7,5]=>[6,4,8,1,2,7,3,5]=>{{1,6,7},{2,4},{3,8},{5}}=>{{1,6},{2,3,8},{4},{5,7}}
[1,7,8,5,4,2,6,3]=>[7,5,8,6,4,1,2,3]=>{{1,7},{2,5},{3,8},{4,6}}=>{{1,6},{2,8},{3,5},{4,7}}
[4,5,3,1,2,8,7,6]=>[4,3,1,5,8,7,2,6]=>{{1,4,5,8},{2,3},{6,7}}=>{{1,4,5,8},{2,3},{6,7}}
[5,7,6,4,2,1,3,8]=>[5,7,8,6,4,2,1,3]=>{{1,5},{2,7},{3,8},{4,6}}=>{{1,6},{2,7},{3,5},{4,8}}
[7,1,6,8,2,5,4,3]=>[7,6,5,8,1,2,4,3]=>{{1,7},{2,6},{3,5},{4,8}}=>{{1,5},{2,8},{3,7},{4,6}}
[4,8,3,6,1,5,2,7]=>[4,8,6,7,3,5,1,2]=>{{1,4,7},{2,8},{3,6},{5}}=>{{1,7},{2,5,8},{3,6},{4}}
[3,1,2,6,8,7,5,4]=>[8,6,3,1,2,5,7,4]=>{{1,8},{2,6},{3},{4},{5},{7}}=>{{1,8},{2},{3,7},{4},{5},{6}}
[6,8,2,4,1,7,3,5]=>[2,6,1,8,4,7,3,5]=>{{1,2,6,7},{3},{4,8},{5}}=>{{1,5},{2,3,7,8},{4},{6}}
[4,2,7,3,5,1,6,8]=>[2,4,5,3,7,1,8,6]=>{{1,2,4},{3,5,7,8},{6}}=>{{1,2,4,6},{3},{5,7,8}}
[8,6,2,3,1,5,4,7]=>[2,3,1,8,6,7,5,4]=>{{1,2,3},{4,8},{5,6,7}}=>{{1,5},{2,3,4},{6,7,8}}
[4,2,1,5,3,7,6,8]=>[4,5,2,7,3,8,6,1]=>{{1,4,7},{2,5},{3},{6,8}}=>{{1,3},{2,5,8},{4,7},{6}}
[1,6,5,7,2,8,3,4]=>[6,7,1,8,2,5,3,4]=>{{1,6},{2,7},{3},{4,8},{5}}=>{{1,5},{2,7},{3,8},{4},{6}}
[7,5,2,6,1,8,4,3]=>[5,2,1,7,6,8,4,3]=>{{1,5,6,8},{2},{3},{4,7}}=>{{1,3,4,8},{2,5},{6},{7}}
[8,4,7,2,6,5,1,3]=>[4,8,7,2,6,1,5,3]=>{{1,4},{2,8},{3,7},{5,6}}=>{{1,7},{2,6},{3,4},{5,8}}
[5,3,7,4,2,8,6,1]=>[5,3,2,7,4,1,8,6]=>{{1,5},{2,3},{4,7,8},{6}}=>{{1,2,5},{3},{4,8},{6,7}}
[7,2,5,8,6,1,4,3]=>[7,5,8,2,1,4,6,3]=>{{1,7},{2,5},{3,8},{4},{6}}=>{{1,6},{2,8},{3},{4,7},{5}}
[5,3,1,4,6,7,8,2]=>[3,1,5,6,7,8,4,2]=>{{1,3,5,7},{2},{4,6,8}}=>{{1,3,5},{2,4,6,8},{7}}
[4,6,2,1,3,7,8,5]=>[4,2,6,7,8,3,1,5]=>{{1,4,7},{2},{3,6},{5,8}}=>{{1,4},{2,5,8},{3,6},{7}}
[2,5,4,1,3,6,7,8]=>[2,5,6,7,8,4,1,3]=>{{1,2,5,8},{3,6},{4,7}}=>{{1,4,7,8},{2,5},{3,6}}
[6,5,2,7,4,1,3,8]=>[6,7,8,2,1,5,4,3]=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}
[3,1,6,7,8,4,5,2]=>[6,3,4,1,2,7,8,5]=>{{1,6,7,8},{2,3,4},{5}}=>{{1,2,3,8},{4},{5,6,7}}
[3,7,5,6,2,1,8,4]=>[3,2,7,5,4,6,1,8]=>{{1,3,7},{2},{4,5},{6},{8}}=>{{1},{2,6,8},{3},{4,5},{7}}
[6,8,1,5,4,2,3,7]=>[1,2,6,5,4,8,3,7]=>{{1},{2},{3,6,8},{4,5},{7}}=>{{1,3,6},{2},{4,5},{7},{8}}
[8,7,2,1,5,3,6,4]=>[2,1,5,3,8,7,6,4]=>{{1,2},{3,5,8},{4},{6,7}}=>{{1,4,6},{2,3},{5},{7,8}}
[7,2,8,1,5,6,4,3]=>[7,5,2,4,8,1,6,3]=>{{1,7},{2,5,8},{3},{4},{6}}=>{{1,4,7},{2,8},{3},{5},{6}}
[5,6,4,2,1,8,3,7]=>[5,6,2,8,4,3,1,7]=>{{1,5},{2,6},{3},{4,8},{7}}=>{{1,5},{2},{3,7},{4,8},{6}}
[5,7,3,6,4,1,2,8]=>[5,7,8,6,3,4,1,2]=>{{1,5},{2,7},{3,8},{4,6}}=>{{1,6},{2,7},{3,5},{4,8}}
[2,4,3,5,8,1,6,7]=>[2,4,8,3,5,6,1,7]=>{{1,2,4},{3,8},{5},{6},{7}}=>{{1,6},{2},{3},{4},{5,7,8}}
[5,8,2,6,7,4,3,1]=>[8,5,4,2,6,7,1,3]=>{{1,8},{2,5,6,7},{3,4}}=>{{1,8},{2,3,4,7},{5,6}}
[1,7,6,5,3,8,2,4]=>[7,8,1,6,5,3,2,4]=>{{1,7},{2,8},{3},{4,6},{5}}=>{{1,7},{2,8},{3,5},{4},{6}}
[6,1,2,4,3,5,8,7]=>[6,1,2,8,4,5,7,3]=>{{1,6},{2},{3},{4,8},{5},{7}}=>{{1,5},{2},{3,8},{4},{6},{7}}
[8,5,1,2,3,6,7,4]=>[5,1,2,3,6,8,7,4]=>{{1,5,6,8},{2},{3},{4},{7}}=>{{1,3,4,8},{2},{5},{6},{7}}
[2,8,6,1,5,4,7,3]=>[8,2,6,5,7,4,1,3]=>{{1,8},{2},{3,6},{4,5,7}}=>{{1,8},{2,4,5},{3,6},{7}}
[8,6,4,7,1,3,2,5]=>[1,8,6,7,4,5,3,2]=>{{1},{2,8},{3,6},{4,7},{5}}=>{{1,7},{2,5},{3,6},{4},{8}}
[5,3,4,1,6,2,7,8]=>[3,5,6,1,7,4,8,2]=>{{1,3,6},{2,5,7,8},{4}}=>{{1,2,4,7},{3,6,8},{5}}
[5,7,2,8,1,3,6,4]=>[5,2,7,8,1,6,3,4]=>{{1,5},{2},{3,7},{4,8},{6}}=>{{1,5},{2,6},{3},{4,8},{7}}
[1,5,2,7,6,8,4,3]=>[7,5,1,4,2,6,3,8]=>{{1,7},{2,5},{3},{4},{6},{8}}=>{{1},{2,8},{3},{4,7},{5},{6}}
[3,4,1,8,7,6,2,5]=>[3,8,7,4,1,6,2,5]=>{{1,3,7},{2,8},{4},{5},{6}}=>{{1,7},{2,6,8},{3},{4},{5}}
[2,8,7,5,4,1,6,3]=>[2,1,8,7,5,4,3,6]=>{{1,2},{3,8},{4,7},{5},{6}}=>{{1,6},{2,5},{3},{4},{7,8}}
[5,4,3,7,6,1,8,2]=>[5,4,7,6,1,8,3,2]=>{{1,5},{2,4,6,8},{3,7}}=>{{1,3,5,7},{2,6},{4,8}}
[3,1,2,8,7,6,4,5]=>[1,8,7,3,2,4,6,5]=>{{1},{2,8},{3,7},{4},{5},{6}}=>{{1,7},{2,6},{3},{4},{5},{8}}
[4,6,1,3,2,7,8,5]=>[4,1,6,7,3,8,2,5]=>{{1,4,7},{2},{3,6,8},{5}}=>{{1,3,6},{2,5,8},{4},{7}}
[2,7,8,6,5,3,1,4]=>[7,8,6,5,2,1,3,4]=>{{1,7},{2,8},{3,6},{4,5}}=>{{1,7},{2,8},{3,6},{4,5}}
[8,5,4,7,6,3,1,2]=>[5,8,7,4,1,6,3,2]=>{{1,5},{2,8},{3,7},{4},{6}}=>{{1,7},{2,6},{3},{4,8},{5}}
[1,5,4,8,7,6,2,3]=>[5,8,7,4,1,6,2,3]=>{{1,5},{2,8},{3,7},{4},{6}}=>{{1,7},{2,6},{3},{4,8},{5}}
[3,2,4,5,8,1,6,7]=>[3,4,8,2,5,6,7,1]=>{{1,3,8},{2,4},{5},{6},{7}}=>{{1,6,8},{2},{3},{4},{5,7}}
[8,5,4,1,6,2,7,3]=>[5,1,6,2,8,7,4,3]=>{{1,5,8},{2},{3,6,7},{4}}=>{{1,4,8},{2,3,6},{5},{7}}
[8,4,2,7,6,5,1,3]=>[4,8,7,2,1,6,5,3]=>{{1,4},{2,8},{3,7},{5},{6}}=>{{1,7},{2,6},{3},{4},{5,8}}
[3,2,7,4,8,5,6,1]=>[3,2,4,1,7,5,8,6]=>{{1,3,4},{2},{5,7,8},{6}}=>{{1,2,4},{3},{5,6,8},{7}}
[7,8,9,10,4,5,6,1,3,2]=>[7,4,8,3,5,9,1,2,6,10]=>{{1,7},{2,4},{3,8},{5},{6,9},{10}}=>{{1},{2,5},{3,8},{4,10},{6},{7,9}}
[4,5,2,8,3,7,1,6]=>[4,8,2,5,1,7,3,6]=>{{1,4,5},{2,8},{3},{6,7}}=>{{1,7},{2,3},{4,5,8},{6}}
[3,8,2,1,5,7,6,4]=>[8,3,2,5,7,6,1,4]=>{{1,8},{2,3},{4,5,7},{6}}=>{{1,8},{2,4,5},{3},{6,7}}
[8,5,1,6,3,2,4,7]=>[1,5,8,6,3,7,4,2]=>{{1},{2,5},{3,8},{4,6,7}}=>{{1,6},{2,3,5},{4,7},{8}}
[5,6,4,1,8,2,7,3]=>[5,4,6,1,8,7,2,3]=>{{1,5,8},{2,4},{3,6,7}}=>{{1,4,8},{2,3,6},{5,7}}
[6,4,5,1,3,8,7,2]=>[6,4,1,5,8,3,7,2]=>{{1,6},{2,4,5,8},{3},{7}}=>{{1,4,5,7},{2},{3,8},{6}}
[1,4,8,5,2,3,7,6]=>[4,1,5,8,7,2,3,6]=>{{1,4,8},{2},{3,5,7},{6}}=>{{1,5,8},{2,4,6},{3},{7}}
[1,5,4,2,8,3,7,6]=>[5,1,4,2,8,7,3,6]=>{{1,5,8},{2},{3,4},{6,7}}=>{{1,4,8},{2,3},{5,6},{7}}
[6,7,4,2,8,1,3,5]=>[6,7,8,2,4,3,1,5]=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}
[4,1,6,8,7,2,3,5]=>[1,4,8,6,2,3,7,5]=>{{1},{2,4,6},{3,8},{5},{7}}=>{{1,6},{2},{3,5,7},{4},{8}}
[6,1,5,8,7,4,3,2]=>[6,5,4,3,1,2,8,7]=>{{1,6},{2,5},{3,4},{7,8}}=>{{1,2},{3,8},{4,7},{5,6}}
[6,1,8,5,7,4,3,2]=>[6,5,4,1,3,2,8,7]=>{{1,6},{2,5},{3,4},{7,8}}=>{{1,2},{3,8},{4,7},{5,6}}
[8,5,1,4,7,6,3,2]=>[8,5,4,1,3,7,6,2]=>{{1,8},{2,5},{3,4},{6,7}}=>{{1,8},{2,3},{4,7},{5,6}}
[4,6,3,7,8,1,5,2]=>[4,3,6,1,5,7,2,8]=>{{1,4},{2,3,6,7},{5},{8}}=>{{1},{2,3,6,7},{4},{5,8}}
[2,5,1,8,7,3,4,6]=>[2,3,8,5,1,7,4,6]=>{{1,2,3,8},{4,5},{6,7}}=>{{1,6,7,8},{2,3},{4,5}}
[2,7,5,6,1,8,4,3]=>[7,2,1,5,4,6,3,8]=>{{1,7},{2},{3},{4,5},{6},{8}}=>{{1},{2,8},{3},{4,5},{6},{7}}
[1,6,8,4,7,3,2,5]=>[6,8,4,3,7,1,2,5]=>{{1,6},{2,8},{3,4},{5,7}}=>{{1,7},{2,4},{3,8},{5,6}}
[8,1,7,2,4,6,3,5]=>[4,8,1,2,7,3,6,5]=>{{1,4},{2,8},{3},{5,7},{6}}=>{{1,7},{2,4},{3},{5,8},{6}}
[4,1,2,6,5,7,8,3]=>[6,1,4,5,2,7,8,3]=>{{1,6,7,8},{2},{3,4,5}}=>{{1,2,3,8},{4,5,6},{7}}
[1,7,5,2,3,8,6,4]=>[7,5,1,2,8,6,3,4]=>{{1,7},{2,5,8},{3},{4},{6}}=>{{1,4,7},{2,8},{3},{5},{6}}
[7,1,5,2,3,6,4,8]=>[1,5,2,3,7,6,8,4]=>{{1},{2,5,7,8},{3},{4},{6}}=>{{1,2,4,7},{3},{5},{6},{8}}
[1,2,5,7,8,6,3,4]=>[5,7,6,1,2,3,4,8]=>{{1,5},{2,7},{3,6},{4},{8}}=>{{1},{2,7},{3,6},{4,8},{5}}
[1,2,7,8,4,6,3,5]=>[7,8,4,6,1,2,3,5]=>{{1,7},{2,8},{3,4,6},{5}}=>{{1,7},{2,8},{3,5,6},{4}}
[8,3,2,4,7,1,6,5]=>[3,2,8,1,4,7,6,5]=>{{1,3,8},{2},{4},{5},{6,7}}=>{{1,6,8},{2,3},{4},{5},{7}}
[7,4,1,2,3,6,8,5]=>[4,1,2,3,7,8,6,5]=>{{1,4},{2},{3},{5,7},{6,8}}=>{{1,3},{2,4},{5,8},{6},{7}}
[5,4,8,6,3,2,1,7]=>[5,6,4,3,2,1,8,7]=>{{1,5},{2,6},{3,4},{7,8}}=>{{1,2},{3,7},{4,8},{5,6}}
[1,6,8,3,4,2,5,7]=>[1,3,6,4,8,2,5,7]=>{{1},{2,3,6},{4},{5,8},{7}}=>{{1,4},{2},{3,6,7},{5},{8}}
[3,8,2,1,6,7,5,4]=>[8,3,2,6,7,5,1,4]=>{{1,8},{2,3},{4,6},{5,7}}=>{{1,8},{2,4},{3,5},{6,7}}
[2,1,7,6,3,4,5,8]=>[2,3,4,7,6,1,8,5]=>{{1,2,3,4,7,8},{5,6}}=>{{1,2,5,6,7,8},{3,4}}
[6,4,5,1,2,8,3,7]=>[1,4,2,6,8,5,7,3]=>{{1},{2,4,6},{3},{5,8},{7}}=>{{1,4},{2},{3,5,7},{6},{8}}
[4,5,8,1,6,7,3,2]=>[8,4,3,5,6,1,2,7]=>{{1,8},{2,4,5,6},{3},{7}}=>{{1,8},{2},{3,4,5,7},{6}}
[8,6,1,5,3,7,2,4]=>[6,8,1,7,3,5,4,2]=>{{1,6},{2,8},{3},{4,7},{5}}=>{{1,7},{2,5},{3,8},{4},{6}}
[2,6,3,7,8,1,4,5]=>[6,7,8,2,3,4,1,5]=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}
[7,2,3,6,8,5,4,1]=>[7,6,5,2,3,4,8,1]=>{{1,7,8},{2,6},{3,5},{4}}=>{{1,2,8},{3,7},{4,6},{5}}
[6,5,2,4,3,8,7,1]=>[6,5,2,8,4,7,3,1]=>{{1,6,7},{2,5},{3},{4,8}}=>{{1,5},{2,3,8},{4,7},{6}}
[5,6,4,8,3,1,2,7]=>[5,6,8,4,1,3,2,7]=>{{1,5},{2,6},{3,8},{4},{7}}=>{{1,6},{2},{3,7},{4,8},{5}}
[1,7,5,2,6,8,3,4]=>[5,7,1,2,8,6,3,4]=>{{1,5,8},{2,7},{3},{4},{6}}=>{{1,4,8},{2,7},{3},{5},{6}}
[8,6,4,3,2,7,5,1]=>[8,6,4,7,5,3,2,1]=>{{1,8},{2,6},{3,4,7},{5}}=>{{1,8},{2,5,6},{3,7},{4}}
[7,5,3,8,6,2,1,4]=>[7,8,5,3,2,6,4,1]=>{{1,7},{2,8},{3,5},{4},{6}}=>{{1,7},{2,8},{3},{4,6},{5}}
[1,7,6,2,4,3,8,5]=>[7,1,8,2,6,4,3,5]=>{{1,7},{2},{3,8},{4},{5,6}}=>{{1,6},{2,8},{3,4},{5},{7}}
[5,6,8,7,1,3,2,4]=>[5,8,6,7,3,1,2,4]=>{{1,5},{2,8},{3,6},{4,7}}=>{{1,7},{2,5},{3,6},{4,8}}
[6,1,4,7,8,5,3,2]=>[6,4,3,1,2,7,8,5]=>{{1,6,7,8},{2,4},{3},{5}}=>{{1,2,3,8},{4},{5,7},{6}}
[5,6,8,3,7,4,2,1]=>[8,5,3,2,6,1,4,7]=>{{1,8},{2,5,6},{3},{4},{7}}=>{{1,8},{2},{3,4,7},{5},{6}}
[1,7,5,3,8,6,2,4]=>[7,8,5,1,6,3,2,4]=>{{1,7},{2,8},{3,5,6},{4}}=>{{1,7},{2,8},{3,4,6},{5}}
[5,7,2,8,4,1,6,3]=>[5,2,7,4,1,8,3,6]=>{{1,5},{2},{3,7},{4},{6,8}}=>{{1,3},{2,6},{4,8},{5},{7}}
[2,5,6,3,8,1,4,7]=>[5,6,8,2,3,1,4,7]=>{{1,5},{2,6},{3,8},{4},{7}}=>{{1,6},{2},{3,7},{4,8},{5}}
[2,8,1,7,4,5,3,6]=>[2,8,4,7,5,6,1,3]=>{{1,2,8},{3,4,7},{5},{6}}=>{{1,7,8},{2,5,6},{3},{4}}
[6,2,5,3,4,8,1,7]=>[6,8,2,3,5,4,7,1]=>{{1,6},{2,8},{3},{4},{5},{7}}=>{{1,7},{2},{3,8},{4},{5},{6}}
[7,8,5,2,6,4,3,1]=>[7,5,4,2,8,6,1,3]=>{{1,7},{2,5,8},{3,4},{6}}=>{{1,4,7},{2,8},{3},{5,6}}
[3,7,5,1,4,6,2,8]=>[3,7,5,6,8,4,1,2]=>{{1,3,5,8},{2,7},{4,6}}=>{{1,4,6,8},{2,7},{3,5}}
[4,5,7,6,1,3,8,2]=>[7,4,5,6,3,1,2,8]=>{{1,7},{2,4,6},{3,5},{8}}=>{{1},{2,8},{3,5,7},{4,6}}
[4,6,5,1,3,8,7,2]=>[6,4,1,5,8,3,2,7]=>{{1,6},{2,4,5,8},{3},{7}}=>{{1,4,5,7},{2},{3,8},{6}}
[5,3,8,1,4,2,7,6]=>[3,1,5,4,8,2,7,6]=>{{1,3,5,8},{2},{4},{6},{7}}=>{{1,4,6,8},{2},{3},{5},{7}}
[8,5,7,6,3,4,1,2]=>[5,8,3,7,6,1,4,2]=>{{1,5,6},{2,8},{3},{4,7}}=>{{1,7},{2,5},{3,4,8},{6}}
[7,5,2,6,1,4,8,3]=>[5,2,7,8,1,6,4,3]=>{{1,5},{2},{3,7},{4,8},{6}}=>{{1,5},{2,6},{3},{4,8},{7}}
[4,6,2,1,5,8,3,7]=>[4,6,2,5,8,7,1,3]=>{{1,4,5,8},{2,6,7},{3}}=>{{1,4,5,8},{2,3,7},{6}}
[7,5,8,1,2,3,6,4]=>[7,1,2,5,8,3,6,4]=>{{1,7},{2},{3},{4,5,8},{6}}=>{{1,4,5},{2,8},{3},{6},{7}}
[4,3,1,8,7,5,6,2]=>[8,4,5,3,1,7,6,2]=>{{1,8},{2,4},{3,5},{6,7}}=>{{1,8},{2,3},{4,6},{5,7}}
[5,1,4,3,2,6,8,7]=>[5,1,4,8,6,3,7,2]=>{{1,5,6},{2},{3,4,8},{7}}=>{{1,5,6},{2},{3,4,8},{7}}
[1,3,6,2,5,4,8,7]=>[3,1,6,5,8,2,4,7]=>{{1,3,6},{2},{4,5,8},{7}}=>{{1,4,5},{2},{3,6,8},{7}}
[4,5,7,6,3,1,8,2]=>[4,1,7,5,3,2,6,8]=>{{1,4,5},{2},{3,7},{6},{8}}=>{{1},{2,6},{3},{4,5,8},{7}}
[6,2,5,1,8,7,3,4]=>[2,6,5,1,8,3,7,4]=>{{1,2,6},{3,5,8},{4},{7}}=>{{1,4,6},{2},{3,7,8},{5}}
[3,2,6,1,5,8,7,4]=>[3,2,1,6,8,5,7,4]=>{{1,3},{2},{4,6},{5,8},{7}}=>{{1,4},{2},{3,5},{6,8},{7}}
[4,2,3,6,7,5,1,8]=>[2,4,3,1,6,7,8,5]=>{{1,2,4},{3},{5,6,7,8}}=>{{1,2,3,4},{5,7,8},{6}}
[5,2,8,1,7,4,6,3]=>[8,2,5,4,7,1,6,3]=>{{1,8},{2},{3,5,7},{4},{6}}=>{{1,8},{2,4,6},{3},{5},{7}}
[7,3,4,1,2,6,8,5]=>[3,1,4,7,8,2,6,5]=>{{1,3,4,7},{2},{5,8},{6}}=>{{1,4},{2,5,6,8},{3},{7}}
[8,1,3,7,6,4,5,2]=>[8,1,7,6,3,4,5,2]=>{{1,8},{2},{3,7},{4,6},{5}}=>{{1,8},{2,6},{3,5},{4},{7}}
[5,8,2,7,3,1,6,4]=>[5,2,8,7,3,6,1,4]=>{{1,5},{2},{3,8},{4,7},{6}}=>{{1,6},{2,5},{3},{4,8},{7}}
[8,1,2,6,7,5,4,3]=>[8,6,5,1,2,4,7,3]=>{{1,8},{2,6},{3,5},{4},{7}}=>{{1,8},{2},{3,7},{4,6},{5}}
[8,2,4,7,6,5,1,3]=>[2,8,7,6,1,4,5,3]=>{{1,2,8},{3,7},{4,6},{5}}=>{{1,7,8},{2,6},{3,5},{4}}
[8,1,2,7,6,4,5,3]=>[8,1,7,6,2,4,5,3]=>{{1,8},{2},{3,7},{4,6},{5}}=>{{1,8},{2,6},{3,5},{4},{7}}
[5,8,2,3,7,4,1,6]=>[2,8,5,3,4,7,1,6]=>{{1,2,8},{3,5},{4},{6,7}}=>{{1,7,8},{2,3},{4,6},{5}}
[4,6,1,8,2,7,5,3]=>[8,6,4,5,1,7,2,3]=>{{1,8},{2,6,7},{3,4,5}}=>{{1,8},{2,3,7},{4,5,6}}
[5,4,8,6,3,7,2,1]=>[5,4,3,6,2,1,8,7]=>{{1,5},{2,4,6},{3},{7,8}}=>{{1,2},{3,5,7},{4,8},{6}}
[1,2,5,4,8,6,3,7]=>[1,5,4,2,8,3,6,7]=>{{1},{2,5,8},{3,4},{6},{7}}=>{{1,4,7},{2},{3},{5,6},{8}}
[2,1,6,5,3,8,7,4]=>[6,2,1,8,5,3,7,4]=>{{1,6},{2},{3},{4,8},{5},{7}}=>{{1,5},{2},{3,8},{4},{6},{7}}
[4,6,8,5,3,7,2,1]=>[6,4,3,8,2,1,5,7]=>{{1,6},{2,4,8},{3},{5},{7}}=>{{1,5,7},{2},{3,8},{4},{6}}
[3,7,4,5,1,6,8,2]=>[3,1,4,7,5,6,2,8]=>{{1,3,4,7},{2},{5},{6},{8}}=>{{1},{2,5,6,8},{3},{4},{7}}
[5,4,8,7,6,2,3,1]=>[8,5,7,4,2,1,6,3]=>{{1,8},{2,5},{3,7},{4},{6}}=>{{1,8},{2,6},{3},{4,7},{5}}
[5,2,3,8,7,1,6,4]=>[8,5,7,2,1,3,6,4]=>{{1,8},{2,5},{3,7},{4},{6}}=>{{1,8},{2,6},{3},{4,7},{5}}
[7,5,2,4,1,3,8,6]=>[2,1,7,8,5,6,4,3]=>{{1,2},{3,7},{4,8},{5},{6}}=>{{1,5},{2,6},{3},{4},{7,8}}
[7,2,6,8,5,1,3,4]=>[2,7,8,6,1,3,5,4]=>{{1,2,7},{3,8},{4,6},{5}}=>{{1,6},{2,7,8},{3,5},{4}}
[1,7,2,4,5,8,6,3]=>[7,4,1,2,3,8,5,6]=>{{1,7},{2,4},{3},{5},{6,8}}=>{{1,3},{2,8},{4},{5,7},{6}}
[1,6,2,7,4,3,8,5]=>[6,1,7,4,2,8,3,5]=>{{1,6,8},{2},{3,7},{4},{5}}=>{{1,3,8},{2,6},{4},{5},{7}}
[1,2,7,3,8,5,6,4]=>[7,1,5,2,8,3,4,6]=>{{1,7},{2},{3,5,8},{4},{6}}=>{{1,4,6},{2,8},{3},{5},{7}}
[5,7,8,3,2,4,6,1]=>[5,3,7,8,2,1,4,6]=>{{1,5},{2,3,7},{4,8},{6}}=>{{1,5},{2,6,7},{3},{4,8}}
[3,8,5,7,2,4,6,1]=>[8,3,5,7,2,4,1,6]=>{{1,8},{2,3,5},{4,7},{6}}=>{{1,8},{2,5},{3},{4,6,7}}
[6,7,1,4,5,2,8,3]=>[6,1,7,4,5,8,2,3]=>{{1,6,8},{2},{3,7},{4},{5}}=>{{1,3,8},{2,6},{4},{5},{7}}
[7,2,5,6,1,3,8,4]=>[2,1,5,7,3,6,8,4]=>{{1,2},{3,5},{4,7,8},{6}}=>{{1,2,5},{3},{4,6},{7,8}}
[6,4,1,2,5,8,3,7]=>[4,6,1,2,5,8,7,3]=>{{1,4},{2,6,8},{3},{5},{7}}=>{{1,3,7},{2},{4},{5,8},{6}}
[6,8,4,1,5,7,3,2]=>[6,4,3,5,8,7,1,2]=>{{1,6,7},{2,4,5,8},{3}}=>{{1,4,5,7},{2,3,8},{6}}
[4,3,6,5,8,2,7,1]=>[4,3,6,2,5,1,8,7]=>{{1,4},{2,3,6},{5},{7,8}}=>{{1,2},{3,6,7},{4},{5,8}}
[1,7,8,3,6,5,4,2]=>[7,6,5,3,8,1,2,4]=>{{1,7},{2,6},{3,5,8},{4}}=>{{1,4,6},{2,8},{3,7},{5}}
[6,4,2,3,8,7,5,1]=>[6,4,2,1,3,8,7,5]=>{{1,6,8},{2,4},{3},{5},{7}}=>{{1,3,8},{2},{4},{5,7},{6}}
[6,1,4,2,7,8,3,5]=>[6,7,1,2,8,4,5,3]=>{{1,6},{2,7},{3},{4},{5,8}}=>{{1,4},{2,7},{3,8},{5},{6}}
[5,1,3,2,7,8,6,4]=>[5,3,1,2,7,6,8,4]=>{{1,5,7,8},{2,3},{4},{6}}=>{{1,2,4,8},{3},{5},{6,7}}
[1,4,3,8,2,5,7,6]=>[4,1,3,8,2,7,5,6]=>{{1,4,8},{2},{3},{5},{6,7}}=>{{1,5,8},{2,3},{4},{6},{7}}
[8,5,4,6,2,7,1,3]=>[5,8,2,6,4,7,3,1]=>{{1,5},{2,8},{3},{4,6,7}}=>{{1,7},{2,3,5},{4,8},{6}}
[2,3,7,5,8,6,1,4]=>[7,8,2,1,5,3,4,6]=>{{1,7},{2,8},{3},{4},{5},{6}}=>{{1,7},{2,8},{3},{4},{5},{6}}
[1,3,6,4,8,2,7,5]=>[6,3,8,1,7,2,4,5]=>{{1,6},{2,3,8},{4},{5,7}}=>{{1,6,7},{2,4},{3,8},{5}}
[3,2,7,5,8,4,6,1]=>[7,3,5,2,4,1,8,6]=>{{1,7,8},{2,3,5},{4},{6}}=>{{1,2,8},{3},{4,6,7},{5}}
[3,2,7,5,8,1,6,4]=>[3,2,7,1,5,4,8,6]=>{{1,3,7,8},{2},{4},{5},{6}}=>{{1,2,6,8},{3},{4},{5},{7}}
[4,5,2,8,6,7,3,1]=>[8,4,2,5,1,6,3,7]=>{{1,8},{2,4,5},{3},{6},{7}}=>{{1,8},{2},{3},{4,5,7},{6}}
[3,5,8,6,2,4,7,1]=>[8,3,5,6,2,1,4,7]=>{{1,8},{2,3,5},{4,6},{7}}=>{{1,8},{2},{3,5},{4,6,7}}
[4,2,3,6,8,5,1,7]=>[4,6,2,1,3,5,8,7]=>{{1,4},{2,6},{3},{5},{7,8}}=>{{1,2},{3,7},{4},{5,8},{6}}
[4,5,1,3,2,8,6,7]=>[4,5,1,6,3,8,2,7]=>{{1,4,6,8},{2,5},{3},{7}}=>{{1,3,5,8},{2},{4,7},{6}}
[1,5,8,2,4,3,7,6]=>[5,1,8,4,7,2,3,6]=>{{1,5,7},{2},{3,8},{4},{6}}=>{{1,6},{2,4,8},{3},{5},{7}}
[2,4,7,8,3,6,5,1]=>[7,4,2,6,1,3,5,8]=>{{1,7},{2,4,6},{3},{5},{8}}=>{{1},{2,8},{3,5,7},{4},{6}}
[1,4,8,5,7,2,3,6]=>[4,5,8,1,7,2,3,6]=>{{1,4},{2,5,7},{3,8},{6}}=>{{1,6},{2,4,7},{3},{5,8}}
[3,5,2,6,8,7,4,1]=>[8,3,2,1,5,6,4,7]=>{{1,8},{2,3},{4},{5},{6},{7}}=>{{1,8},{2},{3},{4},{5},{6,7}}
[8,3,7,5,1,6,2,4]=>[3,5,1,8,7,2,6,4]=>{{1,3},{2,5,7},{4,8},{6}}=>{{1,5},{2,4,7},{3},{6,8}}
[8,5,7,1,4,2,6,3]=>[5,1,8,4,7,2,6,3]=>{{1,5,7},{2},{3,8},{4},{6}}=>{{1,6},{2,4,8},{3},{5},{7}}
[8,1,5,7,4,6,2,3]=>[5,8,4,7,1,2,6,3]=>{{1,5},{2,8},{3,4,7},{6}}=>{{1,7},{2,5,6},{3},{4,8}}
[4,6,8,2,1,5,3,7]=>[4,6,2,8,5,1,3,7]=>{{1,4,8},{2,6},{3},{5},{7}}=>{{1,5,8},{2},{3,7},{4},{6}}
[4,5,6,8,3,2,7,1]=>[4,3,8,2,1,5,6,7]=>{{1,4},{2,3,8},{5},{6},{7}}=>{{1,6,7},{2},{3},{4},{5,8}}
[4,2,7,8,5,6,1,3]=>[4,7,2,5,1,3,8,6]=>{{1,4,5},{2,7,8},{3},{6}}=>{{1,2,7},{3},{4,5,8},{6}}
[2,4,5,3,8,7,1,6]=>[4,8,2,1,7,3,5,6]=>{{1,4},{2,8},{3},{5,7},{6}}=>{{1,7},{2,4},{3},{5,8},{6}}
[7,8,6,2,3,5,1,4]=>[7,8,2,3,6,5,1,4]=>{{1,7},{2,8},{3},{4},{5,6}}=>{{1,7},{2,8},{3,4},{5},{6}}
[6,8,4,7,3,5,2,1]=>[6,4,3,8,2,7,1,5]=>{{1,6,7},{2,4,8},{3},{5}}=>{{1,5,7},{2,3,8},{4},{6}}
[3,5,7,2,8,4,1,6]=>[3,5,2,1,7,4,6,8]=>{{1,3},{2,5,7},{4},{6},{8}}=>{{1},{2,4,7},{3},{5},{6,8}}
[2,4,3,8,5,1,7,6]=>[4,2,8,3,1,7,5,6]=>{{1,4},{2},{3,8},{5},{6,7}}=>{{1,6},{2,3},{4},{5,8},{7}}
[4,7,6,8,2,5,3,1]=>[7,6,4,5,2,3,1,8]=>{{1,7},{2,6},{3,4,5},{8}}=>{{1},{2,8},{3,7},{4,5,6}}
[8,7,2,6,1,5,3,4]=>[2,8,3,7,1,6,5,4]=>{{1,2,8},{3},{4,7},{5},{6}}=>{{1,7,8},{2,5},{3},{4},{6}}
[7,3,4,6,8,2,1,5]=>[3,7,6,2,4,5,8,1]=>{{1,3,6},{2,7,8},{4},{5}}=>{{1,2,7},{3,6,8},{4},{5}}
[5,1,3,7,2,8,4,6]=>[5,7,1,8,3,4,6,2]=>{{1,5},{2,7},{3},{4,8},{6}}=>{{1,5},{2,7},{3},{4,8},{6}}
[5,2,7,1,4,3,6,8]=>[2,5,7,4,8,1,6,3]=>{{1,2,5,8},{3,7},{4},{6}}=>{{1,4,7,8},{2,6},{3},{5}}
[4,1,7,6,5,3,2,8]=>[4,7,6,5,3,1,8,2]=>{{1,4,5},{2,7,8},{3,6}}=>{{1,2,7},{3,6},{4,5,8}}
[4,1,3,6,7,5,2,8]=>[1,4,3,2,6,7,8,5]=>{{1},{2,4},{3},{5,6,7,8}}=>{{1,2,3,4},{5,7},{6},{8}}
[4,5,1,3,6,8,7,2]=>[4,3,1,5,6,8,2,7]=>{{1,4,5,6,8},{2,3},{7}}=>{{1,3,4,5,8},{2},{6,7}}
[6,1,2,7,8,4,3,5]=>[6,7,4,1,2,3,8,5]=>{{1,6},{2,7,8},{3,4},{5}}=>{{1,2,7},{3,8},{4},{5,6}}
[3,6,5,2,4,7,8,1]=>[6,3,5,7,8,2,1,4]=>{{1,6},{2,3,5,8},{4,7}}=>{{1,4,6,7},{2,5},{3,8}}
[7,6,4,1,2,5,3,8]=>[1,4,2,7,8,6,5,3]=>{{1},{2,4,7},{3},{5,8},{6}}=>{{1,4},{2,5,7},{3},{6},{8}}
[1,7,5,4,8,6,2,3]=>[7,8,5,1,6,4,2,3]=>{{1,7},{2,8},{3,5,6},{4}}=>{{1,7},{2,8},{3,4,6},{5}}
[4,5,1,6,8,2,7,3]=>[8,4,5,1,2,6,3,7]=>{{1,8},{2,4},{3,5},{6},{7}}=>{{1,8},{2},{3},{4,6},{5,7}}
[3,2,8,4,1,6,5,7]=>[3,4,2,8,6,1,7,5]=>{{1,3},{2,4,8},{5,6},{7}}=>{{1,5,7},{2},{3,4},{6,8}}
[7,1,8,4,2,3,6,5]=>[7,1,2,8,4,3,6,5]=>{{1,7},{2},{3},{4,8},{5},{6}}=>{{1,5},{2,8},{3},{4},{6},{7}}
[4,6,8,1,7,3,5,2]=>[8,4,6,3,7,1,2,5]=>{{1,8},{2,4},{3,6},{5,7}}=>{{1,8},{2,4},{3,6},{5,7}}
[4,5,1,3,2,6,7,8]=>[4,5,6,7,3,8,1,2]=>{{1,4,7},{2,5},{3,6,8}}=>{{1,3,6},{2,5,8},{4,7}}
[7,2,5,1,3,6,4,8]=>[2,5,1,7,8,3,6,4]=>{{1,2,5,8},{3},{4,7},{6}}=>{{1,4,7,8},{2,5},{3},{6}}
[4,2,6,3,1,5,7,8]=>[2,4,6,7,3,1,8,5]=>{{1,2,4,7,8},{3,6},{5}}=>{{1,2,5,7,8},{3,6},{4}}
[1,5,7,4,8,6,2,3]=>[5,7,4,1,6,2,3,8]=>{{1,5,6},{2,7},{3,4},{8}}=>{{1},{2,7},{3,4,8},{5,6}}
[3,2,7,1,6,4,5,8]=>[3,4,7,2,8,1,6,5]=>{{1,3,7},{2,4},{5,8},{6}}=>{{1,4},{2,6,8},{3},{5,7}}
[6,3,1,7,5,4,2,8]=>[6,7,5,3,1,8,4,2]=>{{1,6,8},{2,7},{3,5},{4}}=>{{1,3,8},{2,7},{4,6},{5}}
[5,6,2,8,3,1,7,4]=>[5,2,8,6,1,7,3,4]=>{{1,5},{2},{3,8},{4,6,7}}=>{{1,6},{2,3,5},{4,8},{7}}
[7,1,4,3,8,6,5,2]=>[7,4,3,1,8,2,6,5]=>{{1,7},{2,4},{3},{5,8},{6}}=>{{1,4},{2,8},{3},{5,7},{6}}
[6,1,5,7,2,8,3,4]=>[6,7,1,8,2,3,5,4]=>{{1,6},{2,7},{3},{4,8},{5}}=>{{1,5},{2,7},{3,8},{4},{6}}
[1,8,2,6,7,4,3,5]=>[6,8,7,1,2,4,3,5]=>{{1,6},{2,8},{3,7},{4},{5}}=>{{1,7},{2,6},{3,8},{4},{5}}
[8,7,5,4,6,1,3,2]=>[8,5,7,1,6,4,3,2]=>{{1,8},{2,5,6},{3,7},{4}}=>{{1,8},{2,6},{3,4,7},{5}}
[5,6,1,8,4,3,7,2]=>[5,4,6,3,1,8,2,7]=>{{1,5},{2,4},{3,6,8},{7}}=>{{1,3,6},{2},{4,8},{5,7}}
[4,1,3,6,7,8,5,2]=>[4,3,1,2,6,7,8,5]=>{{1,4},{2,3},{5,6,7,8}}=>{{1,2,3,4},{5,8},{6,7}}
[1,7,3,6,4,2,8,5]=>[7,1,8,6,3,4,2,5]=>{{1,7},{2},{3,8},{4,6},{5}}=>{{1,6},{2,8},{3,5},{4},{7}}
[4,8,3,5,2,1,6,7]=>[4,5,6,3,2,8,1,7]=>{{1,4},{2,5},{3,6,8},{7}}=>{{1,3,6},{2},{4,7},{5,8}}
[4,7,1,6,8,2,3,5]=>[1,4,7,2,6,8,3,5]=>{{1},{2,4},{3,7},{5,6,8}}=>{{1,3,4},{2,6},{5,7},{8}}
[4,2,3,6,8,5,7,1]=>[4,2,6,1,3,5,8,7]=>{{1,4},{2},{3,6},{5},{7,8}}=>{{1,2},{3,6},{4},{5,8},{7}}
[4,1,3,5,7,2,8,6]=>[4,1,7,3,5,6,8,2]=>{{1,4},{2},{3,7,8},{5},{6}}=>{{1,2,6},{3},{4},{5,8},{7}}
[3,8,6,4,1,5,7,2]=>[3,1,4,8,6,5,2,7]=>{{1,3,4,8},{2},{5,6},{7}}=>{{1,5,6,8},{2},{3,4},{7}}
[1,2,7,8,3,4,6,5]=>[7,1,6,8,2,3,4,5]=>{{1,7},{2},{3,6},{4,8},{5}}=>{{1,5},{2,8},{3,6},{4},{7}}
[2,4,8,6,5,7,1,3]=>[2,8,1,6,4,3,5,7]=>{{1,2,8},{3},{4,6},{5},{7}}=>{{1,7,8},{2},{3,5},{4},{6}}
[5,1,3,4,8,2,7,6]=>[5,3,8,1,2,4,7,6]=>{{1,5},{2,3,8},{4},{6},{7}}=>{{1,6,7},{2},{3},{4,8},{5}}
[7,8,3,1,6,4,5,2]=>[7,3,6,4,8,5,1,2]=>{{1,7},{2,3,6},{4},{5,8}}=>{{1,4},{2,8},{3,6,7},{5}}
[6,7,3,8,2,1,4,5]=>[6,7,8,3,2,4,1,5]=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}}
[2,6,3,1,5,4,8,7]=>[2,1,6,3,8,5,4,7]=>{{1,2},{3,6},{4},{5,8},{7}}=>{{1,4},{2},{3,6},{5},{7,8}}
[1,5,8,3,4,7,2,6]=>[5,8,1,3,7,2,4,6]=>{{1,5,7},{2,8},{3},{4},{6}}=>{{1,7},{2,4,8},{3},{5},{6}}
[6,8,5,3,2,4,1,7]=>[3,6,5,8,4,2,1,7]=>{{1,3,5},{2,6},{4,8},{7}}=>{{1,5},{2},{3,7},{4,6,8}}
[1,6,8,5,3,2,7,4]=>[6,5,8,7,3,1,2,4]=>{{1,6},{2,5},{3,8},{4,7}}=>{{1,6},{2,5},{3,8},{4,7}}
[4,1,7,8,6,5,2,3]=>[4,7,6,5,1,2,8,3]=>{{1,4,5},{2,7,8},{3,6}}=>{{1,2,7},{3,6},{4,5,8}}
[5,4,3,7,6,1,2,8]=>[5,7,8,4,1,6,3,2]=>{{1,5},{2,7},{3,8},{4},{6}}=>{{1,6},{2,7},{3},{4,8},{5}}
[1,4,2,6,7,5,3,8]=>[1,6,4,2,5,7,3,8]=>{{1},{2,6,7},{3,4},{5},{8}}=>{{1},{2,3,7},{4},{5,6},{8}}
[1,4,8,7,2,3,6,5]=>[8,1,4,7,6,2,3,5]=>{{1,8},{2},{3,4,7},{5,6}}=>{{1,8},{2,5,6},{3,4},{7}}
[5,4,8,6,7,3,1,2]=>[5,8,4,3,6,1,7,2]=>{{1,5,6},{2,8},{3,4},{7}}=>{{1,7},{2},{3,4,8},{5,6}}
[1,5,7,2,4,3,8,6]=>[5,1,7,4,8,2,3,6]=>{{1,5,8},{2},{3,7},{4},{6}}=>{{1,4,8},{2,6},{3},{5},{7}}
[5,1,3,8,2,7,4,6]=>[1,5,3,8,2,4,7,6]=>{{1},{2,5},{3},{4,8},{6},{7}}=>{{1,5},{2},{3},{4,7},{6},{8}}
[5,7,1,3,2,8,4,6]=>[1,5,3,7,4,8,2,6]=>{{1},{2,5},{3},{4,7},{6,8}}=>{{1,3},{2,5},{4,7},{6},{8}}
[7,1,2,6,4,3,8,5]=>[7,1,8,6,2,4,5,3]=>{{1,7},{2},{3,8},{4,6},{5}}=>{{1,6},{2,8},{3,5},{4},{7}}
[1,6,4,7,8,5,3,2]=>[6,4,3,1,2,7,5,8]=>{{1,6,7},{2,4},{3},{5},{8}}=>{{1},{2,3,8},{4},{5,7},{6}}
[1,5,2,6,8,7,4,3]=>[8,5,4,1,2,6,3,7]=>{{1,8},{2,5},{3,4},{6},{7}}=>{{1,8},{2},{3},{4,7},{5,6}}
[1,6,5,2,8,7,4,3]=>[6,5,4,1,8,7,2,3]=>{{1,6,7},{2,5,8},{3,4}}=>{{1,4,7},{2,3,8},{5,6}}
[4,1,7,2,5,8,3,6]=>[4,7,1,2,5,3,8,6]=>{{1,4},{2,7,8},{3},{5},{6}}=>{{1,2,7},{3},{4},{5,8},{6}}
[4,5,1,7,2,8,6,3]=>[7,4,1,5,2,6,3,8]=>{{1,7},{2,4,5},{3},{6},{8}}=>{{1},{2,8},{3},{4,5,7},{6}}
[6,4,7,2,5,3,1,8]=>[6,7,4,2,8,1,5,3]=>{{1,6},{2,7},{3,4},{5,8}}=>{{1,4},{2,7},{3,8},{5,6}}
[1,7,2,8,5,4,6,3]=>[7,1,5,4,2,8,3,6]=>{{1,7},{2},{3,5},{4},{6,8}}=>{{1,3},{2,8},{4,6},{5},{7}}
[5,6,1,8,7,2,3,4]=>[1,5,8,6,2,7,3,4]=>{{1},{2,5},{3,8},{4,6,7}}=>{{1,6},{2,3,5},{4,7},{8}}
[3,2,8,1,5,6,4,7]=>[3,5,2,6,8,1,7,4]=>{{1,3},{2,5,8},{4,6},{7}}=>{{1,4,7},{2},{3,5},{6,8}}
[4,2,7,1,5,8,3,6]=>[4,7,2,5,8,1,6,3]=>{{1,4,5,8},{2,7},{3},{6}}=>{{1,4,5,8},{2,7},{3},{6}}
[3,4,6,2,5,1,7,8]=>[3,4,6,2,7,1,5,8]=>{{1,3,6},{2,4},{5,7},{8}}=>{{1},{2,4},{3,6,8},{5,7}}
[3,1,6,7,2,8,5,4]=>[6,3,1,5,2,7,8,4]=>{{1,6,7,8},{2,3},{4,5}}=>{{1,2,3,8},{4,5},{6,7}}
[1,5,3,6,8,4,7,2]=>[5,3,6,1,2,8,4,7]=>{{1,5},{2,3,6,8},{4},{7}}=>{{1,3,6,7},{2},{4,8},{5}}
[4,8,7,2,6,1,3,5]=>[2,4,8,3,7,6,1,5]=>{{1,2,4},{3,8},{5,7},{6}}=>{{1,6},{2,4},{3},{5,7,8}}
[4,5,8,2,1,7,3,6]=>[4,5,2,8,7,1,3,6]=>{{1,4,8},{2,5,7},{3},{6}}=>{{1,5,8},{2,4,7},{3},{6}}
[8,5,1,7,3,4,6,2]=>[8,1,3,5,4,7,6,2]=>{{1,8},{2},{3},{4,5},{6,7}}=>{{1,8},{2,3},{4,5},{6},{7}}
[3,5,1,2,6,8,7,4]=>[8,3,1,5,6,7,2,4]=>{{1,8},{2,3},{4,5,6,7}}=>{{1,8},{2,3,4,5},{6,7}}
[1,6,7,2,5,8,3,4]=>[6,7,1,5,8,2,3,4]=>{{1,6},{2,7},{3},{4,5,8}}=>{{1,4,5},{2,7},{3,8},{6}}
[5,3,8,6,2,4,1,7]=>[5,6,3,8,2,1,7,4]=>{{1,5},{2,6},{3},{4,8},{7}}=>{{1,5},{2},{3,7},{4,8},{6}}
[2,7,4,6,3,8,1,5]=>[4,7,2,6,3,5,1,8]=>{{1,4,6},{2,7},{3},{5},{8}}=>{{1},{2,7},{3,5,8},{4},{6}}
[7,5,1,8,2,3,4,6]=>[1,2,3,7,5,8,6,4]=>{{1},{2},{3},{4,7},{5},{6,8}}=>{{1,3},{2,5},{4},{6},{7},{8}}
[8,2,4,1,3,7,5,6]=>[2,4,1,5,8,3,7,6]=>{{1,2,4,5,8},{3},{6},{7}}=>{{1,4,5,7,8},{2},{3},{6}}
[2,8,7,3,1,4,5,6]=>[2,3,4,8,7,5,1,6]=>{{1,2,3,4,8},{5,7},{6}}=>{{1,5,6,7,8},{2,4},{3}}
[7,3,1,4,5,6,8,2]=>[3,1,4,5,7,8,6,2]=>{{1,3,4,5,7},{2},{6,8}}=>{{1,3},{2,4,5,6,8},{7}}
[3,8,7,2,6,1,4,5]=>[3,4,8,2,7,6,1,5]=>{{1,3,8},{2,4},{5,7},{6}}=>{{1,6,8},{2,4},{3},{5,7}}
[5,4,1,6,2,7,8,3]=>[5,1,6,7,2,8,4,3]=>{{1,5},{2},{3,6,8},{4,7}}=>{{1,3,6},{2,5},{4,8},{7}}
[1,4,8,3,6,2,7,5]=>[4,1,8,3,6,2,5,7]=>{{1,4},{2},{3,8},{5,6},{7}}=>{{1,6},{2},{3,4},{5,8},{7}}
[3,4,6,7,8,2,5,1]=>[3,2,6,1,4,5,7,8]=>{{1,3,6},{2},{4},{5},{7},{8}}=>{{1},{2},{3,6,8},{4},{5},{7}}
[5,8,4,6,2,1,7,3]=>[5,4,8,6,2,7,1,3]=>{{1,5},{2,4,6,7},{3,8}}=>{{1,6},{2,3,5,7},{4,8}}
[1,6,8,3,4,2,7,5]=>[6,1,8,3,7,2,4,5]=>{{1,6},{2},{3,8},{4},{5,7}}=>{{1,6},{2,4},{3,8},{5},{7}}
[2,4,5,8,7,1,3,6]=>[2,4,8,7,1,3,5,6]=>{{1,2,4,7},{3,8},{5},{6}}=>{{1,6},{2,5,7,8},{3},{4}}
[8,7,2,3,1,5,6,4]=>[2,1,3,8,5,7,6,4]=>{{1,2},{3},{4,8},{5},{6,7}}=>{{1,5},{2,3},{4},{6},{7,8}}
[2,8,5,7,6,1,3,4]=>[2,5,8,7,1,6,3,4]=>{{1,2,5},{3,8},{4,7},{6}}=>{{1,6},{2,5},{3},{4,7,8}}
[8,4,7,3,1,2,5,6]=>[1,4,5,8,7,3,6,2]=>{{1},{2,4,8},{3,5,7},{6}}=>{{1,5,7},{2,4,6},{3},{8}}
[7,2,4,1,5,3,8,6]=>[2,1,7,4,8,5,6,3]=>{{1,2},{3,7},{4},{5,8},{6}}=>{{1,4},{2,6},{3},{5},{7,8}}
[2,7,1,8,6,5,3,4]=>[2,7,6,5,1,8,3,4]=>{{1,2,7},{3,6,8},{4,5}}=>{{1,3,6},{2,7,8},{4,5}}
[2,8,1,5,6,4,7,3]=>[8,2,5,4,6,7,1,3]=>{{1,8},{2},{3,5,6,7},{4}}=>{{1,8},{2,3,4,6},{5},{7}}
[3,7,2,8,1,5,6,4]=>[3,2,7,8,1,5,4,6]=>{{1,3,7},{2},{4,8},{5},{6}}=>{{1,5},{2,6,8},{3},{4},{7}}
[8,7,2,1,3,6,5,4]=>[8,2,1,3,7,6,5,4]=>{{1,8},{2},{3},{4},{5,7},{6}}=>{{1,8},{2,4},{3},{5},{6},{7}}
[3,6,2,1,8,4,7,5]=>[3,2,6,1,8,7,4,5]=>{{1,3,6,7},{2},{4},{5,8}}=>{{1,4},{2,3,6,8},{5},{7}}
[8,7,4,2,1,6,5,3]=>[4,2,1,8,7,6,5,3]=>{{1,4,8},{2},{3},{5,7},{6}}=>{{1,5,8},{2,4},{3},{6},{7}}
[7,5,3,6,2,1,4,8]=>[5,7,8,6,3,4,2,1]=>{{1,5},{2,7},{3,8},{4,6}}=>{{1,6},{2,7},{3,5},{4,8}}
[1,6,4,5,7,2,8,3]=>[4,1,6,2,5,7,3,8]=>{{1,4},{2},{3,6,7},{5},{8}}=>{{1},{2,3,6},{4},{5,8},{7}}
[8,2,1,4,3,7,5,6]=>[2,4,1,5,3,8,7,6]=>{{1,2,4,5},{3},{6,8},{7}}=>{{1,3},{2},{4,5,7,8},{6}}
[5,8,4,3,7,6,2,1]=>[5,4,3,2,8,7,1,6]=>{{1,5,8},{2,4},{3},{6,7}}=>{{1,4,8},{2,3},{5,7},{6}}
[5,4,7,1,6,2,8,3]=>[5,1,7,4,8,2,6,3]=>{{1,5,8},{2},{3,7},{4},{6}}=>{{1,4,8},{2,6},{3},{5},{7}}
[1,2,7,5,8,6,3,4]=>[7,8,5,1,6,2,3,4]=>{{1,7},{2,8},{3,5,6},{4}}=>{{1,7},{2,8},{3,4,6},{5}}
[2,3,7,1,8,5,6,4]=>[7,2,5,1,8,3,4,6]=>{{1,7},{2},{3,5,8},{4},{6}}=>{{1,4,6},{2,8},{3},{5},{7}}
[7,8,1,2,5,4,3,6]=>[1,7,5,2,4,8,3,6]=>{{1},{2,7},{3,5},{4},{6,8}}=>{{1,3},{2,7},{4,6},{5},{8}}
[5,7,4,8,3,1,2,6]=>[5,7,8,4,1,3,2,6]=>{{1,5},{2,7},{3,8},{4},{6}}=>{{1,6},{2,7},{3},{4,8},{5}}
[4,1,6,5,2,3,8,7]=>[4,1,2,6,5,3,8,7]=>{{1,4,6},{2},{3},{5},{7,8}}=>{{1,2},{3,5,8},{4},{6},{7}}
[1,6,5,3,2,7,4,8]=>[1,6,3,7,5,4,2,8]=>{{1},{2,6},{3},{4,7},{5},{8}}=>{{1},{2,5},{3,7},{4},{6},{8}}
[1,7,5,4,3,2,8,6]=>[7,1,8,5,4,3,2,6]=>{{1,7},{2},{3,8},{4,5},{6}}=>{{1,6},{2,8},{3},{4,5},{7}}
[7,3,1,4,6,2,8,5]=>[3,1,4,2,7,8,6,5]=>{{1,3,4},{2},{5,7},{6,8}}=>{{1,3},{2,4},{5,6,8},{7}}
[8,2,7,3,1,4,5,6]=>[2,3,4,8,7,5,6,1]=>{{1,2,3,4,8},{5,7},{6}}=>{{1,5,6,7,8},{2,4},{3}}
[6,5,4,8,7,2,3,1]=>[6,5,8,4,2,7,3,1]=>{{1,6,7},{2,5},{3,8},{4}}=>{{1,6},{2,3,8},{4,7},{5}}
[3,7,5,4,2,8,1,6]=>[7,8,3,5,4,2,1,6]=>{{1,7},{2,8},{3},{4,5},{6}}=>{{1,7},{2,8},{3},{4,5},{6}}
[4,7,1,3,2,8,5,6]=>[1,4,3,7,5,8,2,6]=>{{1},{2,4,7},{3},{5},{6,8}}=>{{1,3},{2,5,7},{4},{6},{8}}
[1,7,5,3,4,8,6,2]=>[7,5,1,3,8,4,2,6]=>{{1,7},{2,5,8},{3},{4},{6}}=>{{1,4,7},{2,8},{3},{5},{6}}
[1,7,5,8,6,2,4,3]=>[7,5,8,4,1,6,2,3]=>{{1,7},{2,5},{3,8},{4},{6}}=>{{1,6},{2,8},{3},{4,7},{5}}
[7,1,2,6,4,8,3,5]=>[7,8,1,6,2,4,5,3]=>{{1,7},{2,8},{3},{4,6},{5}}=>{{1,7},{2,8},{3,5},{4},{6}}
[4,3,6,1,2,7,8,5]=>[4,1,6,7,8,3,5,2]=>{{1,4,7},{2},{3,6},{5,8}}=>{{1,4},{2,5,8},{3,6},{7}}
[4,5,2,6,8,7,1,3]=>[4,8,2,1,5,6,3,7]=>{{1,4},{2,8},{3},{5},{6},{7}}=>{{1,7},{2},{3},{4},{5,8},{6}}
[6,4,1,5,7,8,2,3]=>[4,6,1,2,7,8,5,3]=>{{1,4},{2,6,8},{3},{5,7}}=>{{1,3,7},{2,4},{5,8},{6}}
[8,7,2,6,1,4,3,5]=>[2,8,4,7,1,6,5,3]=>{{1,2,8},{3,4,7},{5},{6}}=>{{1,7,8},{2,5,6},{3},{4}}
[1,7,2,8,6,5,3,4]=>[1,7,6,5,2,8,3,4]=>{{1},{2,7},{3,6,8},{4,5}}=>{{1,3,6},{2,7},{4,5},{8}}
[2,8,5,1,4,3,6,7]=>[2,5,8,6,7,4,1,3]=>{{1,2,5,7},{3,8},{4,6}}=>{{1,6},{2,4,7,8},{3,5}}
[6,2,5,3,1,8,7,4]=>[6,5,2,8,7,3,4,1]=>{{1,6},{2,5,7},{3},{4,8}}=>{{1,5},{2,4,7},{3,8},{6}}
[1,6,4,5,8,7,3,2]=>[6,4,3,1,2,8,5,7]=>{{1,6,8},{2,4},{3},{5},{7}}=>{{1,3,8},{2},{4},{5,7},{6}}
[8,1,6,2,5,7,3,4]=>[6,8,1,2,7,3,5,4]=>{{1,6},{2,8},{3},{4},{5,7}}=>{{1,7},{2,4},{3,8},{5},{6}}
[1,2,3,4,8,9,5,6,7]=>[1,8,9,2,3,4,5,6,7]=>{{1},{2,8},{3,9},{4},{5},{6},{7}}=>{{1,7},{2,8},{3},{4},{5},{6},{9}}
[7,4,5,8,6,3,2,1]=>[7,4,3,2,1,5,8,6]=>{{1,7,8},{2,4},{3},{5},{6}}=>{{1,2,8},{3},{4},{5,7},{6}}
[3,8,1,2,4,7,6,5]=>[8,7,1,3,4,6,2,5]=>{{1,8},{2,7},{3},{4},{5},{6}}=>{{1,8},{2,7},{3},{4},{5},{6}}
[3,6,2,4,7,5,8,1]=>[3,2,6,1,7,8,4,5]=>{{1,3,6,8},{2},{4},{5,7}}=>{{1,3,6,8},{2,4},{5},{7}}
[7,1,4,2,8,6,3,5]=>[1,7,4,2,8,3,6,5]=>{{1},{2,7},{3,4},{5,8},{6}}=>{{1,4},{2,7},{3},{5,6},{8}}
[1,6,3,5,8,7,4,2]=>[6,5,3,1,2,8,4,7]=>{{1,6,8},{2,5},{3},{4},{7}}=>{{1,3,8},{2},{4,7},{5},{6}}
[5,6,2,4,8,7,3,1]=>[5,4,2,1,6,8,3,7]=>{{1,5,6,8},{2,4},{3},{7}}=>{{1,3,4,8},{2},{5,7},{6}}
[7,4,8,3,5,6,2,1]=>[7,4,3,5,8,2,6,1]=>{{1,7},{2,4,5,8},{3},{6}}=>{{1,4,5,7},{2,8},{3},{6}}
[4,6,3,1,2,7,8,5]=>[4,1,6,7,8,3,2,5]=>{{1,4,7},{2},{3,6},{5,8}}=>{{1,4},{2,5,8},{3,6},{7}}
[7,1,4,8,5,6,3,2]=>[7,4,1,3,2,5,8,6]=>{{1,7,8},{2,4},{3},{5},{6}}=>{{1,2,8},{3},{4},{5,7},{6}}
[7,4,8,5,3,6,1,2]=>[7,8,4,5,3,1,6,2]=>{{1,7},{2,8},{3,4,5},{6}}=>{{1,7},{2,8},{3},{4,5,6}}
[4,5,3,8,7,1,2,6]=>[4,5,8,3,1,7,2,6]=>{{1,4},{2,5},{3,8},{6,7}}=>{{1,6},{2,3},{4,7},{5,8}}
[8,4,1,6,3,5,2,7]=>[1,8,4,6,3,7,5,2]=>{{1},{2,8},{3,4,6,7},{5}}=>{{1,7},{2,3,5,6},{4},{8}}
[5,8,6,1,2,4,3,7]=>[1,8,5,6,7,4,2,3]=>{{1},{2,8},{3,5,7},{4,6}}=>{{1,7},{2,4,6},{3,5},{8}}
[5,7,2,1,6,8,4,3]=>[7,5,2,6,8,4,1,3]=>{{1,7},{2,5,8},{3},{4,6}}=>{{1,4,7},{2,8},{3,5},{6}}
[7,6,4,1,2,5,8,3]=>[4,1,2,7,8,6,5,3]=>{{1,4,7},{2},{3},{5,8},{6}}=>{{1,4},{2,5,8},{3},{6},{7}}
[1,8,5,2,7,6,4,3]=>[8,7,5,1,6,4,2,3]=>{{1,8},{2,7},{3,5,6},{4}}=>{{1,8},{2,7},{3,4,6},{5}}
[1,7,6,8,2,5,4,3]=>[7,6,5,8,1,4,2,3]=>{{1,7},{2,6},{3,5},{4,8}}=>{{1,5},{2,8},{3,7},{4,6}}
Map
cactus evacuation
Description
The cactus evacuation of a permutation.
This is the involution obtained by applying evacuation to the recording tableau, while preserving the insertion tableau.
This is the involution obtained by applying evacuation to the recording tableau, while preserving the insertion tableau.
Map
weak exceedance partition
Description
The set partition induced by the weak exceedances of a permutation.
This is the coarsest set partition that contains all arcs $(i, \pi(i))$ with $i\leq\pi(i)$.
This is the coarsest set partition that contains all arcs $(i, \pi(i))$ with $i\leq\pi(i)$.
Map
complement
Description
The complement of a set partition obtained by replacing $i$ with $n+1-i$.
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