Identifier
-
Mp00089:
Permutations
—Inverse Kreweras complement⟶
Permutations
Mp00240: Permutations —weak exceedance partition⟶ Set partitions
Mp00091: Set partitions —rotate increasing⟶ Set partitions
St000505: Set partitions ⟶ ℤ
Values
=>
Cc0009;cc-rep-2
Cc0009;cc-rep
[1]=>[1]=>{{1}}=>{{1}}=>1
[1,2]=>[2,1]=>{{1,2}}=>{{1,2}}=>2
[2,1]=>[1,2]=>{{1},{2}}=>{{1},{2}}=>1
[1,2,3]=>[2,3,1]=>{{1,2,3}}=>{{1,2,3}}=>3
[1,3,2]=>[3,2,1]=>{{1,3},{2}}=>{{1,2},{3}}=>2
[2,1,3]=>[1,3,2]=>{{1},{2,3}}=>{{1,3},{2}}=>3
[2,3,1]=>[1,2,3]=>{{1},{2},{3}}=>{{1},{2},{3}}=>1
[3,1,2]=>[3,1,2]=>{{1,3},{2}}=>{{1,2},{3}}=>2
[3,2,1]=>[2,1,3]=>{{1,2},{3}}=>{{1},{2,3}}=>1
[1,2,3,4]=>[2,3,4,1]=>{{1,2,3,4}}=>{{1,2,3,4}}=>4
[1,2,4,3]=>[2,4,3,1]=>{{1,2,4},{3}}=>{{1,2,3},{4}}=>3
[1,3,2,4]=>[3,2,4,1]=>{{1,3,4},{2}}=>{{1,2,4},{3}}=>4
[1,3,4,2]=>[4,2,3,1]=>{{1,4},{2},{3}}=>{{1,2},{3},{4}}=>2
[1,4,2,3]=>[3,4,2,1]=>{{1,3},{2,4}}=>{{1,3},{2,4}}=>3
[1,4,3,2]=>[4,3,2,1]=>{{1,4},{2,3}}=>{{1,2},{3,4}}=>2
[2,1,3,4]=>[1,3,4,2]=>{{1},{2,3,4}}=>{{1,3,4},{2}}=>4
[2,1,4,3]=>[1,4,3,2]=>{{1},{2,4},{3}}=>{{1,3},{2},{4}}=>3
[2,3,1,4]=>[1,2,4,3]=>{{1},{2},{3,4}}=>{{1,4},{2},{3}}=>4
[2,3,4,1]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}=>1
[2,4,1,3]=>[1,4,2,3]=>{{1},{2,4},{3}}=>{{1,3},{2},{4}}=>3
[2,4,3,1]=>[1,3,2,4]=>{{1},{2,3},{4}}=>{{1},{2},{3,4}}=>1
[3,1,2,4]=>[3,1,4,2]=>{{1,3,4},{2}}=>{{1,2,4},{3}}=>4
[3,1,4,2]=>[4,1,3,2]=>{{1,4},{2},{3}}=>{{1,2},{3},{4}}=>2
[3,2,1,4]=>[2,1,4,3]=>{{1,2},{3,4}}=>{{1,4},{2,3}}=>4
[3,2,4,1]=>[2,1,3,4]=>{{1,2},{3},{4}}=>{{1},{2,3},{4}}=>1
[3,4,1,2]=>[4,1,2,3]=>{{1,4},{2},{3}}=>{{1,2},{3},{4}}=>2
[3,4,2,1]=>[3,1,2,4]=>{{1,3},{2},{4}}=>{{1},{2,4},{3}}=>1
[4,1,2,3]=>[3,4,1,2]=>{{1,3},{2,4}}=>{{1,3},{2,4}}=>3
[4,1,3,2]=>[4,3,1,2]=>{{1,4},{2,3}}=>{{1,2},{3,4}}=>2
[4,2,1,3]=>[2,4,1,3]=>{{1,2,4},{3}}=>{{1,2,3},{4}}=>3
[4,2,3,1]=>[2,3,1,4]=>{{1,2,3},{4}}=>{{1},{2,3,4}}=>1
[4,3,1,2]=>[4,2,1,3]=>{{1,4},{2},{3}}=>{{1,2},{3},{4}}=>2
[4,3,2,1]=>[3,2,1,4]=>{{1,3},{2},{4}}=>{{1},{2,4},{3}}=>1
[1,2,3,4,5]=>[2,3,4,5,1]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}=>5
[1,2,3,5,4]=>[2,3,5,4,1]=>{{1,2,3,5},{4}}=>{{1,2,3,4},{5}}=>4
[1,2,4,3,5]=>[2,4,3,5,1]=>{{1,2,4,5},{3}}=>{{1,2,3,5},{4}}=>5
[1,2,4,5,3]=>[2,5,3,4,1]=>{{1,2,5},{3},{4}}=>{{1,2,3},{4},{5}}=>3
[1,2,5,3,4]=>[2,4,5,3,1]=>{{1,2,4},{3,5}}=>{{1,4},{2,3,5}}=>4
[1,2,5,4,3]=>[2,5,4,3,1]=>{{1,2,5},{3,4}}=>{{1,2,3},{4,5}}=>3
[1,3,2,4,5]=>[3,2,4,5,1]=>{{1,3,4,5},{2}}=>{{1,2,4,5},{3}}=>5
[1,3,2,5,4]=>[3,2,5,4,1]=>{{1,3,5},{2},{4}}=>{{1,2,4},{3},{5}}=>4
[1,3,4,2,5]=>[4,2,3,5,1]=>{{1,4,5},{2},{3}}=>{{1,2,5},{3},{4}}=>5
[1,3,4,5,2]=>[5,2,3,4,1]=>{{1,5},{2},{3},{4}}=>{{1,2},{3},{4},{5}}=>2
[1,3,5,2,4]=>[4,2,5,3,1]=>{{1,4},{2},{3,5}}=>{{1,4},{2,5},{3}}=>4
[1,3,5,4,2]=>[5,2,4,3,1]=>{{1,5},{2},{3,4}}=>{{1,2},{3},{4,5}}=>2
[1,4,2,3,5]=>[3,4,2,5,1]=>{{1,3},{2,4,5}}=>{{1,3,5},{2,4}}=>5
[1,4,2,5,3]=>[3,5,2,4,1]=>{{1,3},{2,5},{4}}=>{{1,3},{2,4},{5}}=>3
[1,4,3,2,5]=>[4,3,2,5,1]=>{{1,4,5},{2,3}}=>{{1,2,5},{3,4}}=>5
[1,4,3,5,2]=>[5,3,2,4,1]=>{{1,5},{2,3},{4}}=>{{1,2},{3,4},{5}}=>2
[1,4,5,2,3]=>[4,5,2,3,1]=>{{1,4},{2,5},{3}}=>{{1,3},{2,5},{4}}=>3
[1,4,5,3,2]=>[5,4,2,3,1]=>{{1,5},{2,4},{3}}=>{{1,2},{3,5},{4}}=>2
[1,5,2,3,4]=>[3,4,5,2,1]=>{{1,3,5},{2,4}}=>{{1,2,4},{3,5}}=>4
[1,5,2,4,3]=>[3,5,4,2,1]=>{{1,3,4},{2,5}}=>{{1,3},{2,4,5}}=>3
[1,5,3,2,4]=>[4,3,5,2,1]=>{{1,4},{2,3,5}}=>{{1,3,4},{2,5}}=>4
[1,5,3,4,2]=>[5,3,4,2,1]=>{{1,5},{2,3,4}}=>{{1,2},{3,4,5}}=>2
[1,5,4,2,3]=>[4,5,3,2,1]=>{{1,4},{2,5},{3}}=>{{1,3},{2,5},{4}}=>3
[1,5,4,3,2]=>[5,4,3,2,1]=>{{1,5},{2,4},{3}}=>{{1,2},{3,5},{4}}=>2
[2,1,3,4,5]=>[1,3,4,5,2]=>{{1},{2,3,4,5}}=>{{1,3,4,5},{2}}=>5
[2,1,3,5,4]=>[1,3,5,4,2]=>{{1},{2,3,5},{4}}=>{{1,3,4},{2},{5}}=>4
[2,1,4,3,5]=>[1,4,3,5,2]=>{{1},{2,4,5},{3}}=>{{1,3,5},{2},{4}}=>5
[2,1,4,5,3]=>[1,5,3,4,2]=>{{1},{2,5},{3},{4}}=>{{1,3},{2},{4},{5}}=>3
[2,1,5,3,4]=>[1,4,5,3,2]=>{{1},{2,4},{3,5}}=>{{1,4},{2},{3,5}}=>4
[2,1,5,4,3]=>[1,5,4,3,2]=>{{1},{2,5},{3,4}}=>{{1,3},{2},{4,5}}=>3
[2,3,1,4,5]=>[1,2,4,5,3]=>{{1},{2},{3,4,5}}=>{{1,4,5},{2},{3}}=>5
[2,3,1,5,4]=>[1,2,5,4,3]=>{{1},{2},{3,5},{4}}=>{{1,4},{2},{3},{5}}=>4
[2,3,4,1,5]=>[1,2,3,5,4]=>{{1},{2},{3},{4,5}}=>{{1,5},{2},{3},{4}}=>5
[2,3,4,5,1]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}=>1
[2,3,5,1,4]=>[1,2,5,3,4]=>{{1},{2},{3,5},{4}}=>{{1,4},{2},{3},{5}}=>4
[2,3,5,4,1]=>[1,2,4,3,5]=>{{1},{2},{3,4},{5}}=>{{1},{2},{3},{4,5}}=>1
[2,4,1,3,5]=>[1,4,2,5,3]=>{{1},{2,4,5},{3}}=>{{1,3,5},{2},{4}}=>5
[2,4,1,5,3]=>[1,5,2,4,3]=>{{1},{2,5},{3},{4}}=>{{1,3},{2},{4},{5}}=>3
[2,4,3,1,5]=>[1,3,2,5,4]=>{{1},{2,3},{4,5}}=>{{1,5},{2},{3,4}}=>5
[2,4,3,5,1]=>[1,3,2,4,5]=>{{1},{2,3},{4},{5}}=>{{1},{2},{3,4},{5}}=>1
[2,4,5,1,3]=>[1,5,2,3,4]=>{{1},{2,5},{3},{4}}=>{{1,3},{2},{4},{5}}=>3
[2,4,5,3,1]=>[1,4,2,3,5]=>{{1},{2,4},{3},{5}}=>{{1},{2},{3,5},{4}}=>1
[2,5,1,3,4]=>[1,4,5,2,3]=>{{1},{2,4},{3,5}}=>{{1,4},{2},{3,5}}=>4
[2,5,1,4,3]=>[1,5,4,2,3]=>{{1},{2,5},{3,4}}=>{{1,3},{2},{4,5}}=>3
[2,5,3,1,4]=>[1,3,5,2,4]=>{{1},{2,3,5},{4}}=>{{1,3,4},{2},{5}}=>4
[2,5,3,4,1]=>[1,3,4,2,5]=>{{1},{2,3,4},{5}}=>{{1},{2},{3,4,5}}=>1
[2,5,4,1,3]=>[1,5,3,2,4]=>{{1},{2,5},{3},{4}}=>{{1,3},{2},{4},{5}}=>3
[2,5,4,3,1]=>[1,4,3,2,5]=>{{1},{2,4},{3},{5}}=>{{1},{2},{3,5},{4}}=>1
[3,1,2,4,5]=>[3,1,4,5,2]=>{{1,3,4,5},{2}}=>{{1,2,4,5},{3}}=>5
[3,1,2,5,4]=>[3,1,5,4,2]=>{{1,3,5},{2},{4}}=>{{1,2,4},{3},{5}}=>4
[3,1,4,2,5]=>[4,1,3,5,2]=>{{1,4,5},{2},{3}}=>{{1,2,5},{3},{4}}=>5
[3,1,4,5,2]=>[5,1,3,4,2]=>{{1,5},{2},{3},{4}}=>{{1,2},{3},{4},{5}}=>2
[3,1,5,2,4]=>[4,1,5,3,2]=>{{1,4},{2},{3,5}}=>{{1,4},{2,5},{3}}=>4
[3,1,5,4,2]=>[5,1,4,3,2]=>{{1,5},{2},{3,4}}=>{{1,2},{3},{4,5}}=>2
[3,2,1,4,5]=>[2,1,4,5,3]=>{{1,2},{3,4,5}}=>{{1,4,5},{2,3}}=>5
[3,2,1,5,4]=>[2,1,5,4,3]=>{{1,2},{3,5},{4}}=>{{1,4},{2,3},{5}}=>4
[3,2,4,1,5]=>[2,1,3,5,4]=>{{1,2},{3},{4,5}}=>{{1,5},{2,3},{4}}=>5
[3,2,4,5,1]=>[2,1,3,4,5]=>{{1,2},{3},{4},{5}}=>{{1},{2,3},{4},{5}}=>1
[3,2,5,1,4]=>[2,1,5,3,4]=>{{1,2},{3,5},{4}}=>{{1,4},{2,3},{5}}=>4
[3,2,5,4,1]=>[2,1,4,3,5]=>{{1,2},{3,4},{5}}=>{{1},{2,3},{4,5}}=>1
[3,4,1,2,5]=>[4,1,2,5,3]=>{{1,4,5},{2},{3}}=>{{1,2,5},{3},{4}}=>5
[3,4,1,5,2]=>[5,1,2,4,3]=>{{1,5},{2},{3},{4}}=>{{1,2},{3},{4},{5}}=>2
[3,4,2,1,5]=>[3,1,2,5,4]=>{{1,3},{2},{4,5}}=>{{1,5},{2,4},{3}}=>5
[3,4,2,5,1]=>[3,1,2,4,5]=>{{1,3},{2},{4},{5}}=>{{1},{2,4},{3},{5}}=>1
[3,4,5,1,2]=>[5,1,2,3,4]=>{{1,5},{2},{3},{4}}=>{{1,2},{3},{4},{5}}=>2
[3,4,5,2,1]=>[4,1,2,3,5]=>{{1,4},{2},{3},{5}}=>{{1},{2,5},{3},{4}}=>1
[3,5,1,2,4]=>[4,1,5,2,3]=>{{1,4},{2},{3,5}}=>{{1,4},{2,5},{3}}=>4
[3,5,1,4,2]=>[5,1,4,2,3]=>{{1,5},{2},{3,4}}=>{{1,2},{3},{4,5}}=>2
[3,5,2,1,4]=>[3,1,5,2,4]=>{{1,3,5},{2},{4}}=>{{1,2,4},{3},{5}}=>4
[3,5,2,4,1]=>[3,1,4,2,5]=>{{1,3,4},{2},{5}}=>{{1},{2,4,5},{3}}=>1
[3,5,4,1,2]=>[5,1,3,2,4]=>{{1,5},{2},{3},{4}}=>{{1,2},{3},{4},{5}}=>2
[3,5,4,2,1]=>[4,1,3,2,5]=>{{1,4},{2},{3},{5}}=>{{1},{2,5},{3},{4}}=>1
[4,1,2,3,5]=>[3,4,1,5,2]=>{{1,3},{2,4,5}}=>{{1,3,5},{2,4}}=>5
[4,1,2,5,3]=>[3,5,1,4,2]=>{{1,3},{2,5},{4}}=>{{1,3},{2,4},{5}}=>3
[4,1,3,2,5]=>[4,3,1,5,2]=>{{1,4,5},{2,3}}=>{{1,2,5},{3,4}}=>5
[4,1,3,5,2]=>[5,3,1,4,2]=>{{1,5},{2,3},{4}}=>{{1,2},{3,4},{5}}=>2
[4,1,5,2,3]=>[4,5,1,3,2]=>{{1,4},{2,5},{3}}=>{{1,3},{2,5},{4}}=>3
[4,1,5,3,2]=>[5,4,1,3,2]=>{{1,5},{2,4},{3}}=>{{1,2},{3,5},{4}}=>2
[4,2,1,3,5]=>[2,4,1,5,3]=>{{1,2,4,5},{3}}=>{{1,2,3,5},{4}}=>5
[4,2,1,5,3]=>[2,5,1,4,3]=>{{1,2,5},{3},{4}}=>{{1,2,3},{4},{5}}=>3
[4,2,3,1,5]=>[2,3,1,5,4]=>{{1,2,3},{4,5}}=>{{1,5},{2,3,4}}=>5
[4,2,3,5,1]=>[2,3,1,4,5]=>{{1,2,3},{4},{5}}=>{{1},{2,3,4},{5}}=>1
[4,2,5,1,3]=>[2,5,1,3,4]=>{{1,2,5},{3},{4}}=>{{1,2,3},{4},{5}}=>3
[4,2,5,3,1]=>[2,4,1,3,5]=>{{1,2,4},{3},{5}}=>{{1},{2,3,5},{4}}=>1
[4,3,1,2,5]=>[4,2,1,5,3]=>{{1,4,5},{2},{3}}=>{{1,2,5},{3},{4}}=>5
[4,3,1,5,2]=>[5,2,1,4,3]=>{{1,5},{2},{3},{4}}=>{{1,2},{3},{4},{5}}=>2
[4,3,2,1,5]=>[3,2,1,5,4]=>{{1,3},{2},{4,5}}=>{{1,5},{2,4},{3}}=>5
[4,3,2,5,1]=>[3,2,1,4,5]=>{{1,3},{2},{4},{5}}=>{{1},{2,4},{3},{5}}=>1
[4,3,5,1,2]=>[5,2,1,3,4]=>{{1,5},{2},{3},{4}}=>{{1,2},{3},{4},{5}}=>2
[4,3,5,2,1]=>[4,2,1,3,5]=>{{1,4},{2},{3},{5}}=>{{1},{2,5},{3},{4}}=>1
[4,5,1,2,3]=>[4,5,1,2,3]=>{{1,4},{2,5},{3}}=>{{1,3},{2,5},{4}}=>3
[4,5,1,3,2]=>[5,4,1,2,3]=>{{1,5},{2,4},{3}}=>{{1,2},{3,5},{4}}=>2
[4,5,2,1,3]=>[3,5,1,2,4]=>{{1,3},{2,5},{4}}=>{{1,3},{2,4},{5}}=>3
[4,5,2,3,1]=>[3,4,1,2,5]=>{{1,3},{2,4},{5}}=>{{1},{2,4},{3,5}}=>1
[4,5,3,1,2]=>[5,3,1,2,4]=>{{1,5},{2,3},{4}}=>{{1,2},{3,4},{5}}=>2
[4,5,3,2,1]=>[4,3,1,2,5]=>{{1,4},{2,3},{5}}=>{{1},{2,5},{3,4}}=>1
[5,1,2,3,4]=>[3,4,5,1,2]=>{{1,3,5},{2,4}}=>{{1,2,4},{3,5}}=>4
[5,1,2,4,3]=>[3,5,4,1,2]=>{{1,3,4},{2,5}}=>{{1,3},{2,4,5}}=>3
[5,1,3,2,4]=>[4,3,5,1,2]=>{{1,4},{2,3,5}}=>{{1,3,4},{2,5}}=>4
[5,1,3,4,2]=>[5,3,4,1,2]=>{{1,5},{2,3,4}}=>{{1,2},{3,4,5}}=>2
[5,1,4,2,3]=>[4,5,3,1,2]=>{{1,4},{2,5},{3}}=>{{1,3},{2,5},{4}}=>3
[5,1,4,3,2]=>[5,4,3,1,2]=>{{1,5},{2,4},{3}}=>{{1,2},{3,5},{4}}=>2
[5,2,1,3,4]=>[2,4,5,1,3]=>{{1,2,4},{3,5}}=>{{1,4},{2,3,5}}=>4
[5,2,1,4,3]=>[2,5,4,1,3]=>{{1,2,5},{3,4}}=>{{1,2,3},{4,5}}=>3
[5,2,3,1,4]=>[2,3,5,1,4]=>{{1,2,3,5},{4}}=>{{1,2,3,4},{5}}=>4
[5,2,3,4,1]=>[2,3,4,1,5]=>{{1,2,3,4},{5}}=>{{1},{2,3,4,5}}=>1
[5,2,4,1,3]=>[2,5,3,1,4]=>{{1,2,5},{3},{4}}=>{{1,2,3},{4},{5}}=>3
[5,2,4,3,1]=>[2,4,3,1,5]=>{{1,2,4},{3},{5}}=>{{1},{2,3,5},{4}}=>1
[5,3,1,2,4]=>[4,2,5,1,3]=>{{1,4},{2},{3,5}}=>{{1,4},{2,5},{3}}=>4
[5,3,1,4,2]=>[5,2,4,1,3]=>{{1,5},{2},{3,4}}=>{{1,2},{3},{4,5}}=>2
[5,3,2,1,4]=>[3,2,5,1,4]=>{{1,3,5},{2},{4}}=>{{1,2,4},{3},{5}}=>4
[5,3,2,4,1]=>[3,2,4,1,5]=>{{1,3,4},{2},{5}}=>{{1},{2,4,5},{3}}=>1
[5,3,4,1,2]=>[5,2,3,1,4]=>{{1,5},{2},{3},{4}}=>{{1,2},{3},{4},{5}}=>2
[5,3,4,2,1]=>[4,2,3,1,5]=>{{1,4},{2},{3},{5}}=>{{1},{2,5},{3},{4}}=>1
[5,4,1,2,3]=>[4,5,2,1,3]=>{{1,4},{2,5},{3}}=>{{1,3},{2,5},{4}}=>3
[5,4,1,3,2]=>[5,4,2,1,3]=>{{1,5},{2,4},{3}}=>{{1,2},{3,5},{4}}=>2
[5,4,2,1,3]=>[3,5,2,1,4]=>{{1,3},{2,5},{4}}=>{{1,3},{2,4},{5}}=>3
[5,4,2,3,1]=>[3,4,2,1,5]=>{{1,3},{2,4},{5}}=>{{1},{2,4},{3,5}}=>1
[5,4,3,1,2]=>[5,3,2,1,4]=>{{1,5},{2,3},{4}}=>{{1,2},{3,4},{5}}=>2
[5,4,3,2,1]=>[4,3,2,1,5]=>{{1,4},{2,3},{5}}=>{{1},{2,5},{3,4}}=>1
[1,2,3,4,5,6]=>[2,3,4,5,6,1]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}=>6
[1,2,3,4,6,5]=>[2,3,4,6,5,1]=>{{1,2,3,4,6},{5}}=>{{1,2,3,4,5},{6}}=>5
[1,2,3,5,4,6]=>[2,3,5,4,6,1]=>{{1,2,3,5,6},{4}}=>{{1,2,3,4,6},{5}}=>6
[1,2,3,5,6,4]=>[2,3,6,4,5,1]=>{{1,2,3,6},{4},{5}}=>{{1,2,3,4},{5},{6}}=>4
[1,2,3,6,4,5]=>[2,3,5,6,4,1]=>{{1,2,3,5},{4,6}}=>{{1,5},{2,3,4,6}}=>5
[1,2,3,6,5,4]=>[2,3,6,5,4,1]=>{{1,2,3,6},{4,5}}=>{{1,2,3,4},{5,6}}=>4
[1,2,4,3,5,6]=>[2,4,3,5,6,1]=>{{1,2,4,5,6},{3}}=>{{1,2,3,5,6},{4}}=>6
[1,2,4,3,6,5]=>[2,4,3,6,5,1]=>{{1,2,4,6},{3},{5}}=>{{1,2,3,5},{4},{6}}=>5
[1,2,4,5,3,6]=>[2,5,3,4,6,1]=>{{1,2,5,6},{3},{4}}=>{{1,2,3,6},{4},{5}}=>6
[1,2,4,5,6,3]=>[2,6,3,4,5,1]=>{{1,2,6},{3},{4},{5}}=>{{1,2,3},{4},{5},{6}}=>3
[1,2,4,6,3,5]=>[2,5,3,6,4,1]=>{{1,2,5},{3},{4,6}}=>{{1,5},{2,3,6},{4}}=>5
[1,2,4,6,5,3]=>[2,6,3,5,4,1]=>{{1,2,6},{3},{4,5}}=>{{1,2,3},{4},{5,6}}=>3
[1,2,5,3,4,6]=>[2,4,5,3,6,1]=>{{1,2,4},{3,5,6}}=>{{1,4,6},{2,3,5}}=>6
[1,2,5,3,6,4]=>[2,4,6,3,5,1]=>{{1,2,4},{3,6},{5}}=>{{1,4},{2,3,5},{6}}=>4
[1,2,5,4,3,6]=>[2,5,4,3,6,1]=>{{1,2,5,6},{3,4}}=>{{1,2,3,6},{4,5}}=>6
[1,2,5,4,6,3]=>[2,6,4,3,5,1]=>{{1,2,6},{3,4},{5}}=>{{1,2,3},{4,5},{6}}=>3
[1,2,5,6,3,4]=>[2,5,6,3,4,1]=>{{1,2,5},{3,6},{4}}=>{{1,4},{2,3,6},{5}}=>4
[1,2,5,6,4,3]=>[2,6,5,3,4,1]=>{{1,2,6},{3,5},{4}}=>{{1,2,3},{4,6},{5}}=>3
[1,2,6,3,4,5]=>[2,4,5,6,3,1]=>{{1,2,4,6},{3,5}}=>{{1,2,3,5},{4,6}}=>5
[1,2,6,3,5,4]=>[2,4,6,5,3,1]=>{{1,2,4,5},{3,6}}=>{{1,4},{2,3,5,6}}=>4
[1,2,6,4,3,5]=>[2,5,4,6,3,1]=>{{1,2,5},{3,4,6}}=>{{1,4,5},{2,3,6}}=>5
[1,2,6,4,5,3]=>[2,6,4,5,3,1]=>{{1,2,6},{3,4,5}}=>{{1,2,3},{4,5,6}}=>3
[1,2,6,5,3,4]=>[2,5,6,4,3,1]=>{{1,2,5},{3,6},{4}}=>{{1,4},{2,3,6},{5}}=>4
[1,2,6,5,4,3]=>[2,6,5,4,3,1]=>{{1,2,6},{3,5},{4}}=>{{1,2,3},{4,6},{5}}=>3
[1,3,2,4,5,6]=>[3,2,4,5,6,1]=>{{1,3,4,5,6},{2}}=>{{1,2,4,5,6},{3}}=>6
[1,3,2,4,6,5]=>[3,2,4,6,5,1]=>{{1,3,4,6},{2},{5}}=>{{1,2,4,5},{3},{6}}=>5
[1,3,2,5,4,6]=>[3,2,5,4,6,1]=>{{1,3,5,6},{2},{4}}=>{{1,2,4,6},{3},{5}}=>6
[1,3,2,5,6,4]=>[3,2,6,4,5,1]=>{{1,3,6},{2},{4},{5}}=>{{1,2,4},{3},{5},{6}}=>4
[1,3,2,6,4,5]=>[3,2,5,6,4,1]=>{{1,3,5},{2},{4,6}}=>{{1,5},{2,4,6},{3}}=>5
[1,3,2,6,5,4]=>[3,2,6,5,4,1]=>{{1,3,6},{2},{4,5}}=>{{1,2,4},{3},{5,6}}=>4
[1,3,4,2,5,6]=>[4,2,3,5,6,1]=>{{1,4,5,6},{2},{3}}=>{{1,2,5,6},{3},{4}}=>6
[1,3,4,2,6,5]=>[4,2,3,6,5,1]=>{{1,4,6},{2},{3},{5}}=>{{1,2,5},{3},{4},{6}}=>5
[1,3,4,5,2,6]=>[5,2,3,4,6,1]=>{{1,5,6},{2},{3},{4}}=>{{1,2,6},{3},{4},{5}}=>6
[1,3,4,5,6,2]=>[6,2,3,4,5,1]=>{{1,6},{2},{3},{4},{5}}=>{{1,2},{3},{4},{5},{6}}=>2
[1,3,4,6,2,5]=>[5,2,3,6,4,1]=>{{1,5},{2},{3},{4,6}}=>{{1,5},{2,6},{3},{4}}=>5
[1,3,4,6,5,2]=>[6,2,3,5,4,1]=>{{1,6},{2},{3},{4,5}}=>{{1,2},{3},{4},{5,6}}=>2
[1,3,5,2,4,6]=>[4,2,5,3,6,1]=>{{1,4},{2},{3,5,6}}=>{{1,4,6},{2,5},{3}}=>6
[1,3,5,2,6,4]=>[4,2,6,3,5,1]=>{{1,4},{2},{3,6},{5}}=>{{1,4},{2,5},{3},{6}}=>4
[1,3,5,4,2,6]=>[5,2,4,3,6,1]=>{{1,5,6},{2},{3,4}}=>{{1,2,6},{3},{4,5}}=>6
[1,3,5,4,6,2]=>[6,2,4,3,5,1]=>{{1,6},{2},{3,4},{5}}=>{{1,2},{3},{4,5},{6}}=>2
[1,3,5,6,2,4]=>[5,2,6,3,4,1]=>{{1,5},{2},{3,6},{4}}=>{{1,4},{2,6},{3},{5}}=>4
[1,3,5,6,4,2]=>[6,2,5,3,4,1]=>{{1,6},{2},{3,5},{4}}=>{{1,2},{3},{4,6},{5}}=>2
[1,3,6,2,4,5]=>[4,2,5,6,3,1]=>{{1,4,6},{2},{3,5}}=>{{1,2,5},{3},{4,6}}=>5
[1,3,6,2,5,4]=>[4,2,6,5,3,1]=>{{1,4,5},{2},{3,6}}=>{{1,4},{2,5,6},{3}}=>4
[1,3,6,4,2,5]=>[5,2,4,6,3,1]=>{{1,5},{2},{3,4,6}}=>{{1,4,5},{2,6},{3}}=>5
[1,3,6,4,5,2]=>[6,2,4,5,3,1]=>{{1,6},{2},{3,4,5}}=>{{1,2},{3},{4,5,6}}=>2
[1,3,6,5,2,4]=>[5,2,6,4,3,1]=>{{1,5},{2},{3,6},{4}}=>{{1,4},{2,6},{3},{5}}=>4
[1,3,6,5,4,2]=>[6,2,5,4,3,1]=>{{1,6},{2},{3,5},{4}}=>{{1,2},{3},{4,6},{5}}=>2
[1,4,2,3,5,6]=>[3,4,2,5,6,1]=>{{1,3},{2,4,5,6}}=>{{1,3,5,6},{2,4}}=>6
[1,4,2,3,6,5]=>[3,4,2,6,5,1]=>{{1,3},{2,4,6},{5}}=>{{1,3,5},{2,4},{6}}=>5
[1,4,2,5,3,6]=>[3,5,2,4,6,1]=>{{1,3},{2,5,6},{4}}=>{{1,3,6},{2,4},{5}}=>6
[1,4,2,5,6,3]=>[3,6,2,4,5,1]=>{{1,3},{2,6},{4},{5}}=>{{1,3},{2,4},{5},{6}}=>3
[1,4,2,6,3,5]=>[3,5,2,6,4,1]=>{{1,3},{2,5},{4,6}}=>{{1,5},{2,4},{3,6}}=>5
[1,4,2,6,5,3]=>[3,6,2,5,4,1]=>{{1,3},{2,6},{4,5}}=>{{1,3},{2,4},{5,6}}=>3
[1,4,3,2,5,6]=>[4,3,2,5,6,1]=>{{1,4,5,6},{2,3}}=>{{1,2,5,6},{3,4}}=>6
[1,4,3,2,6,5]=>[4,3,2,6,5,1]=>{{1,4,6},{2,3},{5}}=>{{1,2,5},{3,4},{6}}=>5
[1,4,3,5,2,6]=>[5,3,2,4,6,1]=>{{1,5,6},{2,3},{4}}=>{{1,2,6},{3,4},{5}}=>6
[1,4,3,5,6,2]=>[6,3,2,4,5,1]=>{{1,6},{2,3},{4},{5}}=>{{1,2},{3,4},{5},{6}}=>2
[1,4,3,6,2,5]=>[5,3,2,6,4,1]=>{{1,5},{2,3},{4,6}}=>{{1,5},{2,6},{3,4}}=>5
[1,4,3,6,5,2]=>[6,3,2,5,4,1]=>{{1,6},{2,3},{4,5}}=>{{1,2},{3,4},{5,6}}=>2
[1,4,5,2,3,6]=>[4,5,2,3,6,1]=>{{1,4},{2,5,6},{3}}=>{{1,3,6},{2,5},{4}}=>6
[1,4,5,2,6,3]=>[4,6,2,3,5,1]=>{{1,4},{2,6},{3},{5}}=>{{1,3},{2,5},{4},{6}}=>3
[1,4,5,3,2,6]=>[5,4,2,3,6,1]=>{{1,5,6},{2,4},{3}}=>{{1,2,6},{3,5},{4}}=>6
[1,4,5,3,6,2]=>[6,4,2,3,5,1]=>{{1,6},{2,4},{3},{5}}=>{{1,2},{3,5},{4},{6}}=>2
[1,4,5,6,2,3]=>[5,6,2,3,4,1]=>{{1,5},{2,6},{3},{4}}=>{{1,3},{2,6},{4},{5}}=>3
[1,4,5,6,3,2]=>[6,5,2,3,4,1]=>{{1,6},{2,5},{3},{4}}=>{{1,2},{3,6},{4},{5}}=>2
[1,4,6,2,3,5]=>[4,5,2,6,3,1]=>{{1,4,6},{2,5},{3}}=>{{1,2,5},{3,6},{4}}=>5
[1,4,6,2,5,3]=>[4,6,2,5,3,1]=>{{1,4,5},{2,6},{3}}=>{{1,3},{2,5,6},{4}}=>3
[1,4,6,3,2,5]=>[5,4,2,6,3,1]=>{{1,5},{2,4,6},{3}}=>{{1,3,5},{2,6},{4}}=>5
[1,4,6,3,5,2]=>[6,4,2,5,3,1]=>{{1,6},{2,4,5},{3}}=>{{1,2},{3,5,6},{4}}=>2
[1,4,6,5,2,3]=>[5,6,2,4,3,1]=>{{1,5},{2,6},{3},{4}}=>{{1,3},{2,6},{4},{5}}=>3
[1,4,6,5,3,2]=>[6,5,2,4,3,1]=>{{1,6},{2,5},{3},{4}}=>{{1,2},{3,6},{4},{5}}=>2
[1,5,2,3,4,6]=>[3,4,5,2,6,1]=>{{1,3,5,6},{2,4}}=>{{1,2,4,6},{3,5}}=>6
[1,5,2,3,6,4]=>[3,4,6,2,5,1]=>{{1,3,6},{2,4},{5}}=>{{1,2,4},{3,5},{6}}=>4
[1,5,2,4,3,6]=>[3,5,4,2,6,1]=>{{1,3,4},{2,5,6}}=>{{1,3,6},{2,4,5}}=>6
[1,5,2,4,6,3]=>[3,6,4,2,5,1]=>{{1,3,4},{2,6},{5}}=>{{1,3},{2,4,5},{6}}=>3
[1,5,2,6,3,4]=>[3,5,6,2,4,1]=>{{1,3,6},{2,5},{4}}=>{{1,2,4},{3,6},{5}}=>4
[1,5,2,6,4,3]=>[3,6,5,2,4,1]=>{{1,3,5},{2,6},{4}}=>{{1,3},{2,4,6},{5}}=>3
[1,5,3,2,4,6]=>[4,3,5,2,6,1]=>{{1,4},{2,3,5,6}}=>{{1,3,4,6},{2,5}}=>6
[1,5,3,2,6,4]=>[4,3,6,2,5,1]=>{{1,4},{2,3,6},{5}}=>{{1,3,4},{2,5},{6}}=>4
[1,5,3,4,2,6]=>[5,3,4,2,6,1]=>{{1,5,6},{2,3,4}}=>{{1,2,6},{3,4,5}}=>6
[1,5,3,4,6,2]=>[6,3,4,2,5,1]=>{{1,6},{2,3,4},{5}}=>{{1,2},{3,4,5},{6}}=>2
[1,5,3,6,2,4]=>[5,3,6,2,4,1]=>{{1,5},{2,3,6},{4}}=>{{1,3,4},{2,6},{5}}=>4
[1,5,3,6,4,2]=>[6,3,5,2,4,1]=>{{1,6},{2,3,5},{4}}=>{{1,2},{3,4,6},{5}}=>2
[1,5,4,2,3,6]=>[4,5,3,2,6,1]=>{{1,4},{2,5,6},{3}}=>{{1,3,6},{2,5},{4}}=>6
[1,5,4,2,6,3]=>[4,6,3,2,5,1]=>{{1,4},{2,6},{3},{5}}=>{{1,3},{2,5},{4},{6}}=>3
[1,5,4,3,2,6]=>[5,4,3,2,6,1]=>{{1,5,6},{2,4},{3}}=>{{1,2,6},{3,5},{4}}=>6
[1,5,4,3,6,2]=>[6,4,3,2,5,1]=>{{1,6},{2,4},{3},{5}}=>{{1,2},{3,5},{4},{6}}=>2
[1,5,4,6,2,3]=>[5,6,3,2,4,1]=>{{1,5},{2,6},{3},{4}}=>{{1,3},{2,6},{4},{5}}=>3
[1,5,4,6,3,2]=>[6,5,3,2,4,1]=>{{1,6},{2,5},{3},{4}}=>{{1,2},{3,6},{4},{5}}=>2
[1,5,6,2,3,4]=>[4,5,6,2,3,1]=>{{1,4},{2,5},{3,6}}=>{{1,4},{2,5},{3,6}}=>4
[1,5,6,2,4,3]=>[4,6,5,2,3,1]=>{{1,4},{2,6},{3,5}}=>{{1,3},{2,5},{4,6}}=>3
[1,5,6,3,2,4]=>[5,4,6,2,3,1]=>{{1,5},{2,4},{3,6}}=>{{1,4},{2,6},{3,5}}=>4
[1,5,6,3,4,2]=>[6,4,5,2,3,1]=>{{1,6},{2,4},{3,5}}=>{{1,2},{3,5},{4,6}}=>2
[1,5,6,4,2,3]=>[5,6,4,2,3,1]=>{{1,5},{2,6},{3,4}}=>{{1,3},{2,6},{4,5}}=>3
[1,5,6,4,3,2]=>[6,5,4,2,3,1]=>{{1,6},{2,5},{3,4}}=>{{1,2},{3,6},{4,5}}=>2
[1,6,2,3,4,5]=>[3,4,5,6,2,1]=>{{1,3,5},{2,4,6}}=>{{1,3,5},{2,4,6}}=>5
[1,6,2,3,5,4]=>[3,4,6,5,2,1]=>{{1,3,6},{2,4,5}}=>{{1,2,4},{3,5,6}}=>4
[1,6,2,4,3,5]=>[3,5,4,6,2,1]=>{{1,3,4,6},{2,5}}=>{{1,2,4,5},{3,6}}=>5
[1,6,2,4,5,3]=>[3,6,4,5,2,1]=>{{1,3,4,5},{2,6}}=>{{1,3},{2,4,5,6}}=>3
[1,6,2,5,3,4]=>[3,5,6,4,2,1]=>{{1,3,6},{2,5},{4}}=>{{1,2,4},{3,6},{5}}=>4
[1,6,2,5,4,3]=>[3,6,5,4,2,1]=>{{1,3,5},{2,6},{4}}=>{{1,3},{2,4,6},{5}}=>3
[1,6,3,2,4,5]=>[4,3,5,6,2,1]=>{{1,4,6},{2,3,5}}=>{{1,2,5},{3,4,6}}=>5
[1,6,3,2,5,4]=>[4,3,6,5,2,1]=>{{1,4,5},{2,3,6}}=>{{1,3,4},{2,5,6}}=>4
[1,6,3,4,2,5]=>[5,3,4,6,2,1]=>{{1,5},{2,3,4,6}}=>{{1,3,4,5},{2,6}}=>5
[1,6,3,4,5,2]=>[6,3,4,5,2,1]=>{{1,6},{2,3,4,5}}=>{{1,2},{3,4,5,6}}=>2
[1,6,3,5,2,4]=>[5,3,6,4,2,1]=>{{1,5},{2,3,6},{4}}=>{{1,3,4},{2,6},{5}}=>4
[1,6,3,5,4,2]=>[6,3,5,4,2,1]=>{{1,6},{2,3,5},{4}}=>{{1,2},{3,4,6},{5}}=>2
[1,6,4,2,3,5]=>[4,5,3,6,2,1]=>{{1,4,6},{2,5},{3}}=>{{1,2,5},{3,6},{4}}=>5
[1,6,4,2,5,3]=>[4,6,3,5,2,1]=>{{1,4,5},{2,6},{3}}=>{{1,3},{2,5,6},{4}}=>3
[1,6,4,3,2,5]=>[5,4,3,6,2,1]=>{{1,5},{2,4,6},{3}}=>{{1,3,5},{2,6},{4}}=>5
[1,6,4,3,5,2]=>[6,4,3,5,2,1]=>{{1,6},{2,4,5},{3}}=>{{1,2},{3,5,6},{4}}=>2
[1,6,4,5,2,3]=>[5,6,3,4,2,1]=>{{1,5},{2,6},{3},{4}}=>{{1,3},{2,6},{4},{5}}=>3
[1,6,4,5,3,2]=>[6,5,3,4,2,1]=>{{1,6},{2,5},{3},{4}}=>{{1,2},{3,6},{4},{5}}=>2
[1,6,5,2,3,4]=>[4,5,6,3,2,1]=>{{1,4},{2,5},{3,6}}=>{{1,4},{2,5},{3,6}}=>4
[1,6,5,2,4,3]=>[4,6,5,3,2,1]=>{{1,4},{2,6},{3,5}}=>{{1,3},{2,5},{4,6}}=>3
[1,6,5,3,2,4]=>[5,4,6,3,2,1]=>{{1,5},{2,4},{3,6}}=>{{1,4},{2,6},{3,5}}=>4
[1,6,5,3,4,2]=>[6,4,5,3,2,1]=>{{1,6},{2,4},{3,5}}=>{{1,2},{3,5},{4,6}}=>2
[1,6,5,4,2,3]=>[5,6,4,3,2,1]=>{{1,5},{2,6},{3,4}}=>{{1,3},{2,6},{4,5}}=>3
[1,6,5,4,3,2]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>{{1,2},{3,6},{4,5}}=>2
[2,1,3,4,5,6]=>[1,3,4,5,6,2]=>{{1},{2,3,4,5,6}}=>{{1,3,4,5,6},{2}}=>6
[2,1,3,4,6,5]=>[1,3,4,6,5,2]=>{{1},{2,3,4,6},{5}}=>{{1,3,4,5},{2},{6}}=>5
[2,1,3,5,4,6]=>[1,3,5,4,6,2]=>{{1},{2,3,5,6},{4}}=>{{1,3,4,6},{2},{5}}=>6
[2,1,3,5,6,4]=>[1,3,6,4,5,2]=>{{1},{2,3,6},{4},{5}}=>{{1,3,4},{2},{5},{6}}=>4
[2,1,3,6,4,5]=>[1,3,5,6,4,2]=>{{1},{2,3,5},{4,6}}=>{{1,5},{2},{3,4,6}}=>5
[2,1,3,6,5,4]=>[1,3,6,5,4,2]=>{{1},{2,3,6},{4,5}}=>{{1,3,4},{2},{5,6}}=>4
[2,1,4,3,5,6]=>[1,4,3,5,6,2]=>{{1},{2,4,5,6},{3}}=>{{1,3,5,6},{2},{4}}=>6
[2,1,4,3,6,5]=>[1,4,3,6,5,2]=>{{1},{2,4,6},{3},{5}}=>{{1,3,5},{2},{4},{6}}=>5
[2,1,4,5,3,6]=>[1,5,3,4,6,2]=>{{1},{2,5,6},{3},{4}}=>{{1,3,6},{2},{4},{5}}=>6
[2,1,4,5,6,3]=>[1,6,3,4,5,2]=>{{1},{2,6},{3},{4},{5}}=>{{1,3},{2},{4},{5},{6}}=>3
[2,1,4,6,3,5]=>[1,5,3,6,4,2]=>{{1},{2,5},{3},{4,6}}=>{{1,5},{2},{3,6},{4}}=>5
[2,1,4,6,5,3]=>[1,6,3,5,4,2]=>{{1},{2,6},{3},{4,5}}=>{{1,3},{2},{4},{5,6}}=>3
[2,1,5,3,4,6]=>[1,4,5,3,6,2]=>{{1},{2,4},{3,5,6}}=>{{1,4,6},{2},{3,5}}=>6
[2,1,5,3,6,4]=>[1,4,6,3,5,2]=>{{1},{2,4},{3,6},{5}}=>{{1,4},{2},{3,5},{6}}=>4
[2,1,5,4,3,6]=>[1,5,4,3,6,2]=>{{1},{2,5,6},{3,4}}=>{{1,3,6},{2},{4,5}}=>6
[2,1,5,4,6,3]=>[1,6,4,3,5,2]=>{{1},{2,6},{3,4},{5}}=>{{1,3},{2},{4,5},{6}}=>3
[2,1,5,6,3,4]=>[1,5,6,3,4,2]=>{{1},{2,5},{3,6},{4}}=>{{1,4},{2},{3,6},{5}}=>4
[2,1,5,6,4,3]=>[1,6,5,3,4,2]=>{{1},{2,6},{3,5},{4}}=>{{1,3},{2},{4,6},{5}}=>3
[2,1,6,3,4,5]=>[1,4,5,6,3,2]=>{{1},{2,4,6},{3,5}}=>{{1,3,5},{2},{4,6}}=>5
[2,1,6,3,5,4]=>[1,4,6,5,3,2]=>{{1},{2,4,5},{3,6}}=>{{1,4},{2},{3,5,6}}=>4
[2,1,6,4,3,5]=>[1,5,4,6,3,2]=>{{1},{2,5},{3,4,6}}=>{{1,4,5},{2},{3,6}}=>5
[2,1,6,4,5,3]=>[1,6,4,5,3,2]=>{{1},{2,6},{3,4,5}}=>{{1,3},{2},{4,5,6}}=>3
[2,1,6,5,3,4]=>[1,5,6,4,3,2]=>{{1},{2,5},{3,6},{4}}=>{{1,4},{2},{3,6},{5}}=>4
[2,1,6,5,4,3]=>[1,6,5,4,3,2]=>{{1},{2,6},{3,5},{4}}=>{{1,3},{2},{4,6},{5}}=>3
[2,3,1,4,5,6]=>[1,2,4,5,6,3]=>{{1},{2},{3,4,5,6}}=>{{1,4,5,6},{2},{3}}=>6
[2,3,1,4,6,5]=>[1,2,4,6,5,3]=>{{1},{2},{3,4,6},{5}}=>{{1,4,5},{2},{3},{6}}=>5
[2,3,1,5,4,6]=>[1,2,5,4,6,3]=>{{1},{2},{3,5,6},{4}}=>{{1,4,6},{2},{3},{5}}=>6
[2,3,1,5,6,4]=>[1,2,6,4,5,3]=>{{1},{2},{3,6},{4},{5}}=>{{1,4},{2},{3},{5},{6}}=>4
[2,3,1,6,4,5]=>[1,2,5,6,4,3]=>{{1},{2},{3,5},{4,6}}=>{{1,5},{2},{3},{4,6}}=>5
[2,3,1,6,5,4]=>[1,2,6,5,4,3]=>{{1},{2},{3,6},{4,5}}=>{{1,4},{2},{3},{5,6}}=>4
[2,3,4,1,5,6]=>[1,2,3,5,6,4]=>{{1},{2},{3},{4,5,6}}=>{{1,5,6},{2},{3},{4}}=>6
[2,3,4,1,6,5]=>[1,2,3,6,5,4]=>{{1},{2},{3},{4,6},{5}}=>{{1,5},{2},{3},{4},{6}}=>5
[2,3,4,5,1,6]=>[1,2,3,4,6,5]=>{{1},{2},{3},{4},{5,6}}=>{{1,6},{2},{3},{4},{5}}=>6
[2,3,4,5,6,1]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}=>1
[2,3,4,6,1,5]=>[1,2,3,6,4,5]=>{{1},{2},{3},{4,6},{5}}=>{{1,5},{2},{3},{4},{6}}=>5
[2,3,4,6,5,1]=>[1,2,3,5,4,6]=>{{1},{2},{3},{4,5},{6}}=>{{1},{2},{3},{4},{5,6}}=>1
[2,3,5,1,4,6]=>[1,2,5,3,6,4]=>{{1},{2},{3,5,6},{4}}=>{{1,4,6},{2},{3},{5}}=>6
[2,3,5,1,6,4]=>[1,2,6,3,5,4]=>{{1},{2},{3,6},{4},{5}}=>{{1,4},{2},{3},{5},{6}}=>4
[2,3,5,4,1,6]=>[1,2,4,3,6,5]=>{{1},{2},{3,4},{5,6}}=>{{1,6},{2},{3},{4,5}}=>6
[2,3,5,4,6,1]=>[1,2,4,3,5,6]=>{{1},{2},{3,4},{5},{6}}=>{{1},{2},{3},{4,5},{6}}=>1
[2,3,5,6,1,4]=>[1,2,6,3,4,5]=>{{1},{2},{3,6},{4},{5}}=>{{1,4},{2},{3},{5},{6}}=>4
[2,3,5,6,4,1]=>[1,2,5,3,4,6]=>{{1},{2},{3,5},{4},{6}}=>{{1},{2},{3},{4,6},{5}}=>1
[2,3,6,1,4,5]=>[1,2,5,6,3,4]=>{{1},{2},{3,5},{4,6}}=>{{1,5},{2},{3},{4,6}}=>5
[2,3,6,1,5,4]=>[1,2,6,5,3,4]=>{{1},{2},{3,6},{4,5}}=>{{1,4},{2},{3},{5,6}}=>4
[2,3,6,4,1,5]=>[1,2,4,6,3,5]=>{{1},{2},{3,4,6},{5}}=>{{1,4,5},{2},{3},{6}}=>5
[2,3,6,4,5,1]=>[1,2,4,5,3,6]=>{{1},{2},{3,4,5},{6}}=>{{1},{2},{3},{4,5,6}}=>1
[2,3,6,5,1,4]=>[1,2,6,4,3,5]=>{{1},{2},{3,6},{4},{5}}=>{{1,4},{2},{3},{5},{6}}=>4
[2,3,6,5,4,1]=>[1,2,5,4,3,6]=>{{1},{2},{3,5},{4},{6}}=>{{1},{2},{3},{4,6},{5}}=>1
[2,4,1,3,5,6]=>[1,4,2,5,6,3]=>{{1},{2,4,5,6},{3}}=>{{1,3,5,6},{2},{4}}=>6
[2,4,1,3,6,5]=>[1,4,2,6,5,3]=>{{1},{2,4,6},{3},{5}}=>{{1,3,5},{2},{4},{6}}=>5
[2,4,1,5,3,6]=>[1,5,2,4,6,3]=>{{1},{2,5,6},{3},{4}}=>{{1,3,6},{2},{4},{5}}=>6
[2,4,1,5,6,3]=>[1,6,2,4,5,3]=>{{1},{2,6},{3},{4},{5}}=>{{1,3},{2},{4},{5},{6}}=>3
[2,4,1,6,3,5]=>[1,5,2,6,4,3]=>{{1},{2,5},{3},{4,6}}=>{{1,5},{2},{3,6},{4}}=>5
[2,4,1,6,5,3]=>[1,6,2,5,4,3]=>{{1},{2,6},{3},{4,5}}=>{{1,3},{2},{4},{5,6}}=>3
[2,4,3,1,5,6]=>[1,3,2,5,6,4]=>{{1},{2,3},{4,5,6}}=>{{1,5,6},{2},{3,4}}=>6
[2,4,3,1,6,5]=>[1,3,2,6,5,4]=>{{1},{2,3},{4,6},{5}}=>{{1,5},{2},{3,4},{6}}=>5
[2,4,3,5,1,6]=>[1,3,2,4,6,5]=>{{1},{2,3},{4},{5,6}}=>{{1,6},{2},{3,4},{5}}=>6
[2,4,3,5,6,1]=>[1,3,2,4,5,6]=>{{1},{2,3},{4},{5},{6}}=>{{1},{2},{3,4},{5},{6}}=>1
[2,4,3,6,1,5]=>[1,3,2,6,4,5]=>{{1},{2,3},{4,6},{5}}=>{{1,5},{2},{3,4},{6}}=>5
[2,4,3,6,5,1]=>[1,3,2,5,4,6]=>{{1},{2,3},{4,5},{6}}=>{{1},{2},{3,4},{5,6}}=>1
[2,4,5,1,3,6]=>[1,5,2,3,6,4]=>{{1},{2,5,6},{3},{4}}=>{{1,3,6},{2},{4},{5}}=>6
[2,4,5,1,6,3]=>[1,6,2,3,5,4]=>{{1},{2,6},{3},{4},{5}}=>{{1,3},{2},{4},{5},{6}}=>3
[2,4,5,3,1,6]=>[1,4,2,3,6,5]=>{{1},{2,4},{3},{5,6}}=>{{1,6},{2},{3,5},{4}}=>6
[2,4,5,3,6,1]=>[1,4,2,3,5,6]=>{{1},{2,4},{3},{5},{6}}=>{{1},{2},{3,5},{4},{6}}=>1
[2,4,5,6,1,3]=>[1,6,2,3,4,5]=>{{1},{2,6},{3},{4},{5}}=>{{1,3},{2},{4},{5},{6}}=>3
[2,4,5,6,3,1]=>[1,5,2,3,4,6]=>{{1},{2,5},{3},{4},{6}}=>{{1},{2},{3,6},{4},{5}}=>1
[2,4,6,1,3,5]=>[1,5,2,6,3,4]=>{{1},{2,5},{3},{4,6}}=>{{1,5},{2},{3,6},{4}}=>5
[2,4,6,1,5,3]=>[1,6,2,5,3,4]=>{{1},{2,6},{3},{4,5}}=>{{1,3},{2},{4},{5,6}}=>3
[2,4,6,3,1,5]=>[1,4,2,6,3,5]=>{{1},{2,4,6},{3},{5}}=>{{1,3,5},{2},{4},{6}}=>5
[2,4,6,3,5,1]=>[1,4,2,5,3,6]=>{{1},{2,4,5},{3},{6}}=>{{1},{2},{3,5,6},{4}}=>1
[2,4,6,5,1,3]=>[1,6,2,4,3,5]=>{{1},{2,6},{3},{4},{5}}=>{{1,3},{2},{4},{5},{6}}=>3
[2,4,6,5,3,1]=>[1,5,2,4,3,6]=>{{1},{2,5},{3},{4},{6}}=>{{1},{2},{3,6},{4},{5}}=>1
[2,5,1,3,4,6]=>[1,4,5,2,6,3]=>{{1},{2,4},{3,5,6}}=>{{1,4,6},{2},{3,5}}=>6
[2,5,1,3,6,4]=>[1,4,6,2,5,3]=>{{1},{2,4},{3,6},{5}}=>{{1,4},{2},{3,5},{6}}=>4
[2,5,1,4,3,6]=>[1,5,4,2,6,3]=>{{1},{2,5,6},{3,4}}=>{{1,3,6},{2},{4,5}}=>6
[2,5,1,4,6,3]=>[1,6,4,2,5,3]=>{{1},{2,6},{3,4},{5}}=>{{1,3},{2},{4,5},{6}}=>3
[2,5,1,6,3,4]=>[1,5,6,2,4,3]=>{{1},{2,5},{3,6},{4}}=>{{1,4},{2},{3,6},{5}}=>4
[2,5,1,6,4,3]=>[1,6,5,2,4,3]=>{{1},{2,6},{3,5},{4}}=>{{1,3},{2},{4,6},{5}}=>3
[2,5,3,1,4,6]=>[1,3,5,2,6,4]=>{{1},{2,3,5,6},{4}}=>{{1,3,4,6},{2},{5}}=>6
[2,5,3,1,6,4]=>[1,3,6,2,5,4]=>{{1},{2,3,6},{4},{5}}=>{{1,3,4},{2},{5},{6}}=>4
[2,5,3,4,1,6]=>[1,3,4,2,6,5]=>{{1},{2,3,4},{5,6}}=>{{1,6},{2},{3,4,5}}=>6
[2,5,3,4,6,1]=>[1,3,4,2,5,6]=>{{1},{2,3,4},{5},{6}}=>{{1},{2},{3,4,5},{6}}=>1
[2,5,3,6,1,4]=>[1,3,6,2,4,5]=>{{1},{2,3,6},{4},{5}}=>{{1,3,4},{2},{5},{6}}=>4
[2,5,3,6,4,1]=>[1,3,5,2,4,6]=>{{1},{2,3,5},{4},{6}}=>{{1},{2},{3,4,6},{5}}=>1
[2,5,4,1,3,6]=>[1,5,3,2,6,4]=>{{1},{2,5,6},{3},{4}}=>{{1,3,6},{2},{4},{5}}=>6
[2,5,4,1,6,3]=>[1,6,3,2,5,4]=>{{1},{2,6},{3},{4},{5}}=>{{1,3},{2},{4},{5},{6}}=>3
[2,5,4,3,1,6]=>[1,4,3,2,6,5]=>{{1},{2,4},{3},{5,6}}=>{{1,6},{2},{3,5},{4}}=>6
[2,5,4,3,6,1]=>[1,4,3,2,5,6]=>{{1},{2,4},{3},{5},{6}}=>{{1},{2},{3,5},{4},{6}}=>1
[2,5,4,6,1,3]=>[1,6,3,2,4,5]=>{{1},{2,6},{3},{4},{5}}=>{{1,3},{2},{4},{5},{6}}=>3
[2,5,4,6,3,1]=>[1,5,3,2,4,6]=>{{1},{2,5},{3},{4},{6}}=>{{1},{2},{3,6},{4},{5}}=>1
[2,5,6,1,3,4]=>[1,5,6,2,3,4]=>{{1},{2,5},{3,6},{4}}=>{{1,4},{2},{3,6},{5}}=>4
[2,5,6,1,4,3]=>[1,6,5,2,3,4]=>{{1},{2,6},{3,5},{4}}=>{{1,3},{2},{4,6},{5}}=>3
[2,5,6,3,1,4]=>[1,4,6,2,3,5]=>{{1},{2,4},{3,6},{5}}=>{{1,4},{2},{3,5},{6}}=>4
[2,5,6,3,4,1]=>[1,4,5,2,3,6]=>{{1},{2,4},{3,5},{6}}=>{{1},{2},{3,5},{4,6}}=>1
[2,5,6,4,1,3]=>[1,6,4,2,3,5]=>{{1},{2,6},{3,4},{5}}=>{{1,3},{2},{4,5},{6}}=>3
[2,5,6,4,3,1]=>[1,5,4,2,3,6]=>{{1},{2,5},{3,4},{6}}=>{{1},{2},{3,6},{4,5}}=>1
[2,6,1,3,4,5]=>[1,4,5,6,2,3]=>{{1},{2,4,6},{3,5}}=>{{1,3,5},{2},{4,6}}=>5
[2,6,1,3,5,4]=>[1,4,6,5,2,3]=>{{1},{2,4,5},{3,6}}=>{{1,4},{2},{3,5,6}}=>4
[2,6,1,4,3,5]=>[1,5,4,6,2,3]=>{{1},{2,5},{3,4,6}}=>{{1,4,5},{2},{3,6}}=>5
[2,6,1,4,5,3]=>[1,6,4,5,2,3]=>{{1},{2,6},{3,4,5}}=>{{1,3},{2},{4,5,6}}=>3
[2,6,1,5,3,4]=>[1,5,6,4,2,3]=>{{1},{2,5},{3,6},{4}}=>{{1,4},{2},{3,6},{5}}=>4
[2,6,1,5,4,3]=>[1,6,5,4,2,3]=>{{1},{2,6},{3,5},{4}}=>{{1,3},{2},{4,6},{5}}=>3
[2,6,3,1,4,5]=>[1,3,5,6,2,4]=>{{1},{2,3,5},{4,6}}=>{{1,5},{2},{3,4,6}}=>5
[2,6,3,1,5,4]=>[1,3,6,5,2,4]=>{{1},{2,3,6},{4,5}}=>{{1,3,4},{2},{5,6}}=>4
[2,6,3,4,1,5]=>[1,3,4,6,2,5]=>{{1},{2,3,4,6},{5}}=>{{1,3,4,5},{2},{6}}=>5
[2,6,3,4,5,1]=>[1,3,4,5,2,6]=>{{1},{2,3,4,5},{6}}=>{{1},{2},{3,4,5,6}}=>1
[2,6,3,5,1,4]=>[1,3,6,4,2,5]=>{{1},{2,3,6},{4},{5}}=>{{1,3,4},{2},{5},{6}}=>4
[2,6,3,5,4,1]=>[1,3,5,4,2,6]=>{{1},{2,3,5},{4},{6}}=>{{1},{2},{3,4,6},{5}}=>1
[2,6,4,1,3,5]=>[1,5,3,6,2,4]=>{{1},{2,5},{3},{4,6}}=>{{1,5},{2},{3,6},{4}}=>5
[2,6,4,1,5,3]=>[1,6,3,5,2,4]=>{{1},{2,6},{3},{4,5}}=>{{1,3},{2},{4},{5,6}}=>3
[2,6,4,3,1,5]=>[1,4,3,6,2,5]=>{{1},{2,4,6},{3},{5}}=>{{1,3,5},{2},{4},{6}}=>5
[2,6,4,3,5,1]=>[1,4,3,5,2,6]=>{{1},{2,4,5},{3},{6}}=>{{1},{2},{3,5,6},{4}}=>1
[2,6,4,5,1,3]=>[1,6,3,4,2,5]=>{{1},{2,6},{3},{4},{5}}=>{{1,3},{2},{4},{5},{6}}=>3
[2,6,4,5,3,1]=>[1,5,3,4,2,6]=>{{1},{2,5},{3},{4},{6}}=>{{1},{2},{3,6},{4},{5}}=>1
[2,6,5,1,3,4]=>[1,5,6,3,2,4]=>{{1},{2,5},{3,6},{4}}=>{{1,4},{2},{3,6},{5}}=>4
[2,6,5,1,4,3]=>[1,6,5,3,2,4]=>{{1},{2,6},{3,5},{4}}=>{{1,3},{2},{4,6},{5}}=>3
[2,6,5,3,1,4]=>[1,4,6,3,2,5]=>{{1},{2,4},{3,6},{5}}=>{{1,4},{2},{3,5},{6}}=>4
[2,6,5,3,4,1]=>[1,4,5,3,2,6]=>{{1},{2,4},{3,5},{6}}=>{{1},{2},{3,5},{4,6}}=>1
[2,6,5,4,1,3]=>[1,6,4,3,2,5]=>{{1},{2,6},{3,4},{5}}=>{{1,3},{2},{4,5},{6}}=>3
[2,6,5,4,3,1]=>[1,5,4,3,2,6]=>{{1},{2,5},{3,4},{6}}=>{{1},{2},{3,6},{4,5}}=>1
[3,1,2,4,5,6]=>[3,1,4,5,6,2]=>{{1,3,4,5,6},{2}}=>{{1,2,4,5,6},{3}}=>6
[3,1,2,4,6,5]=>[3,1,4,6,5,2]=>{{1,3,4,6},{2},{5}}=>{{1,2,4,5},{3},{6}}=>5
[3,1,2,5,4,6]=>[3,1,5,4,6,2]=>{{1,3,5,6},{2},{4}}=>{{1,2,4,6},{3},{5}}=>6
[3,1,2,5,6,4]=>[3,1,6,4,5,2]=>{{1,3,6},{2},{4},{5}}=>{{1,2,4},{3},{5},{6}}=>4
[3,1,2,6,4,5]=>[3,1,5,6,4,2]=>{{1,3,5},{2},{4,6}}=>{{1,5},{2,4,6},{3}}=>5
[3,1,2,6,5,4]=>[3,1,6,5,4,2]=>{{1,3,6},{2},{4,5}}=>{{1,2,4},{3},{5,6}}=>4
[3,1,4,2,5,6]=>[4,1,3,5,6,2]=>{{1,4,5,6},{2},{3}}=>{{1,2,5,6},{3},{4}}=>6
[3,1,4,2,6,5]=>[4,1,3,6,5,2]=>{{1,4,6},{2},{3},{5}}=>{{1,2,5},{3},{4},{6}}=>5
[3,1,4,5,2,6]=>[5,1,3,4,6,2]=>{{1,5,6},{2},{3},{4}}=>{{1,2,6},{3},{4},{5}}=>6
[3,1,4,5,6,2]=>[6,1,3,4,5,2]=>{{1,6},{2},{3},{4},{5}}=>{{1,2},{3},{4},{5},{6}}=>2
[3,1,4,6,2,5]=>[5,1,3,6,4,2]=>{{1,5},{2},{3},{4,6}}=>{{1,5},{2,6},{3},{4}}=>5
[3,1,4,6,5,2]=>[6,1,3,5,4,2]=>{{1,6},{2},{3},{4,5}}=>{{1,2},{3},{4},{5,6}}=>2
[3,1,5,2,4,6]=>[4,1,5,3,6,2]=>{{1,4},{2},{3,5,6}}=>{{1,4,6},{2,5},{3}}=>6
[3,1,5,2,6,4]=>[4,1,6,3,5,2]=>{{1,4},{2},{3,6},{5}}=>{{1,4},{2,5},{3},{6}}=>4
[3,1,5,4,2,6]=>[5,1,4,3,6,2]=>{{1,5,6},{2},{3,4}}=>{{1,2,6},{3},{4,5}}=>6
[3,1,5,4,6,2]=>[6,1,4,3,5,2]=>{{1,6},{2},{3,4},{5}}=>{{1,2},{3},{4,5},{6}}=>2
[3,1,5,6,2,4]=>[5,1,6,3,4,2]=>{{1,5},{2},{3,6},{4}}=>{{1,4},{2,6},{3},{5}}=>4
[3,1,5,6,4,2]=>[6,1,5,3,4,2]=>{{1,6},{2},{3,5},{4}}=>{{1,2},{3},{4,6},{5}}=>2
[3,1,6,2,4,5]=>[4,1,5,6,3,2]=>{{1,4,6},{2},{3,5}}=>{{1,2,5},{3},{4,6}}=>5
[3,1,6,2,5,4]=>[4,1,6,5,3,2]=>{{1,4,5},{2},{3,6}}=>{{1,4},{2,5,6},{3}}=>4
[3,1,6,4,2,5]=>[5,1,4,6,3,2]=>{{1,5},{2},{3,4,6}}=>{{1,4,5},{2,6},{3}}=>5
[3,1,6,4,5,2]=>[6,1,4,5,3,2]=>{{1,6},{2},{3,4,5}}=>{{1,2},{3},{4,5,6}}=>2
[3,1,6,5,2,4]=>[5,1,6,4,3,2]=>{{1,5},{2},{3,6},{4}}=>{{1,4},{2,6},{3},{5}}=>4
[3,1,6,5,4,2]=>[6,1,5,4,3,2]=>{{1,6},{2},{3,5},{4}}=>{{1,2},{3},{4,6},{5}}=>2
[3,2,1,4,5,6]=>[2,1,4,5,6,3]=>{{1,2},{3,4,5,6}}=>{{1,4,5,6},{2,3}}=>6
[3,2,1,4,6,5]=>[2,1,4,6,5,3]=>{{1,2},{3,4,6},{5}}=>{{1,4,5},{2,3},{6}}=>5
[3,2,1,5,4,6]=>[2,1,5,4,6,3]=>{{1,2},{3,5,6},{4}}=>{{1,4,6},{2,3},{5}}=>6
[3,2,1,5,6,4]=>[2,1,6,4,5,3]=>{{1,2},{3,6},{4},{5}}=>{{1,4},{2,3},{5},{6}}=>4
[3,2,1,6,4,5]=>[2,1,5,6,4,3]=>{{1,2},{3,5},{4,6}}=>{{1,5},{2,3},{4,6}}=>5
[3,2,1,6,5,4]=>[2,1,6,5,4,3]=>{{1,2},{3,6},{4,5}}=>{{1,4},{2,3},{5,6}}=>4
[3,2,4,1,5,6]=>[2,1,3,5,6,4]=>{{1,2},{3},{4,5,6}}=>{{1,5,6},{2,3},{4}}=>6
[3,2,4,1,6,5]=>[2,1,3,6,5,4]=>{{1,2},{3},{4,6},{5}}=>{{1,5},{2,3},{4},{6}}=>5
[3,2,4,5,1,6]=>[2,1,3,4,6,5]=>{{1,2},{3},{4},{5,6}}=>{{1,6},{2,3},{4},{5}}=>6
[3,2,4,5,6,1]=>[2,1,3,4,5,6]=>{{1,2},{3},{4},{5},{6}}=>{{1},{2,3},{4},{5},{6}}=>1
[3,2,4,6,1,5]=>[2,1,3,6,4,5]=>{{1,2},{3},{4,6},{5}}=>{{1,5},{2,3},{4},{6}}=>5
[3,2,4,6,5,1]=>[2,1,3,5,4,6]=>{{1,2},{3},{4,5},{6}}=>{{1},{2,3},{4},{5,6}}=>1
[3,2,5,1,4,6]=>[2,1,5,3,6,4]=>{{1,2},{3,5,6},{4}}=>{{1,4,6},{2,3},{5}}=>6
[3,2,5,1,6,4]=>[2,1,6,3,5,4]=>{{1,2},{3,6},{4},{5}}=>{{1,4},{2,3},{5},{6}}=>4
[3,2,5,4,1,6]=>[2,1,4,3,6,5]=>{{1,2},{3,4},{5,6}}=>{{1,6},{2,3},{4,5}}=>6
[3,2,5,4,6,1]=>[2,1,4,3,5,6]=>{{1,2},{3,4},{5},{6}}=>{{1},{2,3},{4,5},{6}}=>1
[3,2,5,6,1,4]=>[2,1,6,3,4,5]=>{{1,2},{3,6},{4},{5}}=>{{1,4},{2,3},{5},{6}}=>4
[3,2,5,6,4,1]=>[2,1,5,3,4,6]=>{{1,2},{3,5},{4},{6}}=>{{1},{2,3},{4,6},{5}}=>1
[3,2,6,1,4,5]=>[2,1,5,6,3,4]=>{{1,2},{3,5},{4,6}}=>{{1,5},{2,3},{4,6}}=>5
[3,2,6,1,5,4]=>[2,1,6,5,3,4]=>{{1,2},{3,6},{4,5}}=>{{1,4},{2,3},{5,6}}=>4
[3,2,6,4,1,5]=>[2,1,4,6,3,5]=>{{1,2},{3,4,6},{5}}=>{{1,4,5},{2,3},{6}}=>5
[3,2,6,4,5,1]=>[2,1,4,5,3,6]=>{{1,2},{3,4,5},{6}}=>{{1},{2,3},{4,5,6}}=>1
[3,2,6,5,1,4]=>[2,1,6,4,3,5]=>{{1,2},{3,6},{4},{5}}=>{{1,4},{2,3},{5},{6}}=>4
[3,2,6,5,4,1]=>[2,1,5,4,3,6]=>{{1,2},{3,5},{4},{6}}=>{{1},{2,3},{4,6},{5}}=>1
[3,4,1,2,5,6]=>[4,1,2,5,6,3]=>{{1,4,5,6},{2},{3}}=>{{1,2,5,6},{3},{4}}=>6
[3,4,1,2,6,5]=>[4,1,2,6,5,3]=>{{1,4,6},{2},{3},{5}}=>{{1,2,5},{3},{4},{6}}=>5
[3,4,1,5,2,6]=>[5,1,2,4,6,3]=>{{1,5,6},{2},{3},{4}}=>{{1,2,6},{3},{4},{5}}=>6
[3,4,1,5,6,2]=>[6,1,2,4,5,3]=>{{1,6},{2},{3},{4},{5}}=>{{1,2},{3},{4},{5},{6}}=>2
[3,4,1,6,2,5]=>[5,1,2,6,4,3]=>{{1,5},{2},{3},{4,6}}=>{{1,5},{2,6},{3},{4}}=>5
[3,4,1,6,5,2]=>[6,1,2,5,4,3]=>{{1,6},{2},{3},{4,5}}=>{{1,2},{3},{4},{5,6}}=>2
[3,4,2,1,5,6]=>[3,1,2,5,6,4]=>{{1,3},{2},{4,5,6}}=>{{1,5,6},{2,4},{3}}=>6
[3,4,2,1,6,5]=>[3,1,2,6,5,4]=>{{1,3},{2},{4,6},{5}}=>{{1,5},{2,4},{3},{6}}=>5
[3,4,2,5,1,6]=>[3,1,2,4,6,5]=>{{1,3},{2},{4},{5,6}}=>{{1,6},{2,4},{3},{5}}=>6
[3,4,2,5,6,1]=>[3,1,2,4,5,6]=>{{1,3},{2},{4},{5},{6}}=>{{1},{2,4},{3},{5},{6}}=>1
[3,4,2,6,1,5]=>[3,1,2,6,4,5]=>{{1,3},{2},{4,6},{5}}=>{{1,5},{2,4},{3},{6}}=>5
[3,4,2,6,5,1]=>[3,1,2,5,4,6]=>{{1,3},{2},{4,5},{6}}=>{{1},{2,4},{3},{5,6}}=>1
[3,4,5,1,2,6]=>[5,1,2,3,6,4]=>{{1,5,6},{2},{3},{4}}=>{{1,2,6},{3},{4},{5}}=>6
[3,4,5,1,6,2]=>[6,1,2,3,5,4]=>{{1,6},{2},{3},{4},{5}}=>{{1,2},{3},{4},{5},{6}}=>2
[3,4,5,2,1,6]=>[4,1,2,3,6,5]=>{{1,4},{2},{3},{5,6}}=>{{1,6},{2,5},{3},{4}}=>6
[3,4,5,2,6,1]=>[4,1,2,3,5,6]=>{{1,4},{2},{3},{5},{6}}=>{{1},{2,5},{3},{4},{6}}=>1
[3,4,5,6,1,2]=>[6,1,2,3,4,5]=>{{1,6},{2},{3},{4},{5}}=>{{1,2},{3},{4},{5},{6}}=>2
[3,4,5,6,2,1]=>[5,1,2,3,4,6]=>{{1,5},{2},{3},{4},{6}}=>{{1},{2,6},{3},{4},{5}}=>1
[3,4,6,1,2,5]=>[5,1,2,6,3,4]=>{{1,5},{2},{3},{4,6}}=>{{1,5},{2,6},{3},{4}}=>5
[3,4,6,1,5,2]=>[6,1,2,5,3,4]=>{{1,6},{2},{3},{4,5}}=>{{1,2},{3},{4},{5,6}}=>2
[3,4,6,2,1,5]=>[4,1,2,6,3,5]=>{{1,4,6},{2},{3},{5}}=>{{1,2,5},{3},{4},{6}}=>5
[3,4,6,2,5,1]=>[4,1,2,5,3,6]=>{{1,4,5},{2},{3},{6}}=>{{1},{2,5,6},{3},{4}}=>1
[3,4,6,5,1,2]=>[6,1,2,4,3,5]=>{{1,6},{2},{3},{4},{5}}=>{{1,2},{3},{4},{5},{6}}=>2
[3,4,6,5,2,1]=>[5,1,2,4,3,6]=>{{1,5},{2},{3},{4},{6}}=>{{1},{2,6},{3},{4},{5}}=>1
[3,5,1,2,4,6]=>[4,1,5,2,6,3]=>{{1,4},{2},{3,5,6}}=>{{1,4,6},{2,5},{3}}=>6
[3,5,1,2,6,4]=>[4,1,6,2,5,3]=>{{1,4},{2},{3,6},{5}}=>{{1,4},{2,5},{3},{6}}=>4
[3,5,1,4,2,6]=>[5,1,4,2,6,3]=>{{1,5,6},{2},{3,4}}=>{{1,2,6},{3},{4,5}}=>6
[3,5,1,4,6,2]=>[6,1,4,2,5,3]=>{{1,6},{2},{3,4},{5}}=>{{1,2},{3},{4,5},{6}}=>2
[3,5,1,6,2,4]=>[5,1,6,2,4,3]=>{{1,5},{2},{3,6},{4}}=>{{1,4},{2,6},{3},{5}}=>4
[3,5,1,6,4,2]=>[6,1,5,2,4,3]=>{{1,6},{2},{3,5},{4}}=>{{1,2},{3},{4,6},{5}}=>2
[3,5,2,1,4,6]=>[3,1,5,2,6,4]=>{{1,3,5,6},{2},{4}}=>{{1,2,4,6},{3},{5}}=>6
[3,5,2,1,6,4]=>[3,1,6,2,5,4]=>{{1,3,6},{2},{4},{5}}=>{{1,2,4},{3},{5},{6}}=>4
[3,5,2,4,1,6]=>[3,1,4,2,6,5]=>{{1,3,4},{2},{5,6}}=>{{1,6},{2,4,5},{3}}=>6
[3,5,2,4,6,1]=>[3,1,4,2,5,6]=>{{1,3,4},{2},{5},{6}}=>{{1},{2,4,5},{3},{6}}=>1
[3,5,2,6,1,4]=>[3,1,6,2,4,5]=>{{1,3,6},{2},{4},{5}}=>{{1,2,4},{3},{5},{6}}=>4
[3,5,2,6,4,1]=>[3,1,5,2,4,6]=>{{1,3,5},{2},{4},{6}}=>{{1},{2,4,6},{3},{5}}=>1
[3,5,4,1,2,6]=>[5,1,3,2,6,4]=>{{1,5,6},{2},{3},{4}}=>{{1,2,6},{3},{4},{5}}=>6
[3,5,4,1,6,2]=>[6,1,3,2,5,4]=>{{1,6},{2},{3},{4},{5}}=>{{1,2},{3},{4},{5},{6}}=>2
[3,5,4,2,1,6]=>[4,1,3,2,6,5]=>{{1,4},{2},{3},{5,6}}=>{{1,6},{2,5},{3},{4}}=>6
[3,5,4,2,6,1]=>[4,1,3,2,5,6]=>{{1,4},{2},{3},{5},{6}}=>{{1},{2,5},{3},{4},{6}}=>1
[3,5,4,6,1,2]=>[6,1,3,2,4,5]=>{{1,6},{2},{3},{4},{5}}=>{{1,2},{3},{4},{5},{6}}=>2
[3,5,4,6,2,1]=>[5,1,3,2,4,6]=>{{1,5},{2},{3},{4},{6}}=>{{1},{2,6},{3},{4},{5}}=>1
[3,5,6,1,2,4]=>[5,1,6,2,3,4]=>{{1,5},{2},{3,6},{4}}=>{{1,4},{2,6},{3},{5}}=>4
[3,5,6,1,4,2]=>[6,1,5,2,3,4]=>{{1,6},{2},{3,5},{4}}=>{{1,2},{3},{4,6},{5}}=>2
[3,5,6,2,1,4]=>[4,1,6,2,3,5]=>{{1,4},{2},{3,6},{5}}=>{{1,4},{2,5},{3},{6}}=>4
[3,5,6,2,4,1]=>[4,1,5,2,3,6]=>{{1,4},{2},{3,5},{6}}=>{{1},{2,5},{3},{4,6}}=>1
[3,5,6,4,1,2]=>[6,1,4,2,3,5]=>{{1,6},{2},{3,4},{5}}=>{{1,2},{3},{4,5},{6}}=>2
[3,5,6,4,2,1]=>[5,1,4,2,3,6]=>{{1,5},{2},{3,4},{6}}=>{{1},{2,6},{3},{4,5}}=>1
[3,6,1,2,4,5]=>[4,1,5,6,2,3]=>{{1,4,6},{2},{3,5}}=>{{1,2,5},{3},{4,6}}=>5
[3,6,1,2,5,4]=>[4,1,6,5,2,3]=>{{1,4,5},{2},{3,6}}=>{{1,4},{2,5,6},{3}}=>4
[3,6,1,4,2,5]=>[5,1,4,6,2,3]=>{{1,5},{2},{3,4,6}}=>{{1,4,5},{2,6},{3}}=>5
[3,6,1,4,5,2]=>[6,1,4,5,2,3]=>{{1,6},{2},{3,4,5}}=>{{1,2},{3},{4,5,6}}=>2
[3,6,1,5,2,4]=>[5,1,6,4,2,3]=>{{1,5},{2},{3,6},{4}}=>{{1,4},{2,6},{3},{5}}=>4
[3,6,1,5,4,2]=>[6,1,5,4,2,3]=>{{1,6},{2},{3,5},{4}}=>{{1,2},{3},{4,6},{5}}=>2
[3,6,2,1,4,5]=>[3,1,5,6,2,4]=>{{1,3,5},{2},{4,6}}=>{{1,5},{2,4,6},{3}}=>5
[3,6,2,1,5,4]=>[3,1,6,5,2,4]=>{{1,3,6},{2},{4,5}}=>{{1,2,4},{3},{5,6}}=>4
[3,6,2,4,1,5]=>[3,1,4,6,2,5]=>{{1,3,4,6},{2},{5}}=>{{1,2,4,5},{3},{6}}=>5
[3,6,2,4,5,1]=>[3,1,4,5,2,6]=>{{1,3,4,5},{2},{6}}=>{{1},{2,4,5,6},{3}}=>1
[3,6,2,5,1,4]=>[3,1,6,4,2,5]=>{{1,3,6},{2},{4},{5}}=>{{1,2,4},{3},{5},{6}}=>4
[3,6,2,5,4,1]=>[3,1,5,4,2,6]=>{{1,3,5},{2},{4},{6}}=>{{1},{2,4,6},{3},{5}}=>1
[3,6,4,1,2,5]=>[5,1,3,6,2,4]=>{{1,5},{2},{3},{4,6}}=>{{1,5},{2,6},{3},{4}}=>5
[3,6,4,1,5,2]=>[6,1,3,5,2,4]=>{{1,6},{2},{3},{4,5}}=>{{1,2},{3},{4},{5,6}}=>2
[3,6,4,2,1,5]=>[4,1,3,6,2,5]=>{{1,4,6},{2},{3},{5}}=>{{1,2,5},{3},{4},{6}}=>5
[3,6,4,2,5,1]=>[4,1,3,5,2,6]=>{{1,4,5},{2},{3},{6}}=>{{1},{2,5,6},{3},{4}}=>1
[3,6,4,5,1,2]=>[6,1,3,4,2,5]=>{{1,6},{2},{3},{4},{5}}=>{{1,2},{3},{4},{5},{6}}=>2
[3,6,4,5,2,1]=>[5,1,3,4,2,6]=>{{1,5},{2},{3},{4},{6}}=>{{1},{2,6},{3},{4},{5}}=>1
[3,6,5,1,2,4]=>[5,1,6,3,2,4]=>{{1,5},{2},{3,6},{4}}=>{{1,4},{2,6},{3},{5}}=>4
[3,6,5,1,4,2]=>[6,1,5,3,2,4]=>{{1,6},{2},{3,5},{4}}=>{{1,2},{3},{4,6},{5}}=>2
[3,6,5,2,1,4]=>[4,1,6,3,2,5]=>{{1,4},{2},{3,6},{5}}=>{{1,4},{2,5},{3},{6}}=>4
[3,6,5,2,4,1]=>[4,1,5,3,2,6]=>{{1,4},{2},{3,5},{6}}=>{{1},{2,5},{3},{4,6}}=>1
[3,6,5,4,1,2]=>[6,1,4,3,2,5]=>{{1,6},{2},{3,4},{5}}=>{{1,2},{3},{4,5},{6}}=>2
[3,6,5,4,2,1]=>[5,1,4,3,2,6]=>{{1,5},{2},{3,4},{6}}=>{{1},{2,6},{3},{4,5}}=>1
[4,1,2,3,5,6]=>[3,4,1,5,6,2]=>{{1,3},{2,4,5,6}}=>{{1,3,5,6},{2,4}}=>6
[4,1,2,3,6,5]=>[3,4,1,6,5,2]=>{{1,3},{2,4,6},{5}}=>{{1,3,5},{2,4},{6}}=>5
[4,1,2,5,3,6]=>[3,5,1,4,6,2]=>{{1,3},{2,5,6},{4}}=>{{1,3,6},{2,4},{5}}=>6
[4,1,2,5,6,3]=>[3,6,1,4,5,2]=>{{1,3},{2,6},{4},{5}}=>{{1,3},{2,4},{5},{6}}=>3
[4,1,2,6,3,5]=>[3,5,1,6,4,2]=>{{1,3},{2,5},{4,6}}=>{{1,5},{2,4},{3,6}}=>5
[4,1,2,6,5,3]=>[3,6,1,5,4,2]=>{{1,3},{2,6},{4,5}}=>{{1,3},{2,4},{5,6}}=>3
[4,1,3,2,5,6]=>[4,3,1,5,6,2]=>{{1,4,5,6},{2,3}}=>{{1,2,5,6},{3,4}}=>6
[4,1,3,2,6,5]=>[4,3,1,6,5,2]=>{{1,4,6},{2,3},{5}}=>{{1,2,5},{3,4},{6}}=>5
[4,1,3,5,2,6]=>[5,3,1,4,6,2]=>{{1,5,6},{2,3},{4}}=>{{1,2,6},{3,4},{5}}=>6
[4,1,3,5,6,2]=>[6,3,1,4,5,2]=>{{1,6},{2,3},{4},{5}}=>{{1,2},{3,4},{5},{6}}=>2
[4,1,3,6,2,5]=>[5,3,1,6,4,2]=>{{1,5},{2,3},{4,6}}=>{{1,5},{2,6},{3,4}}=>5
[4,1,3,6,5,2]=>[6,3,1,5,4,2]=>{{1,6},{2,3},{4,5}}=>{{1,2},{3,4},{5,6}}=>2
[4,1,5,2,3,6]=>[4,5,1,3,6,2]=>{{1,4},{2,5,6},{3}}=>{{1,3,6},{2,5},{4}}=>6
[4,1,5,2,6,3]=>[4,6,1,3,5,2]=>{{1,4},{2,6},{3},{5}}=>{{1,3},{2,5},{4},{6}}=>3
[4,1,5,3,2,6]=>[5,4,1,3,6,2]=>{{1,5,6},{2,4},{3}}=>{{1,2,6},{3,5},{4}}=>6
[4,1,5,3,6,2]=>[6,4,1,3,5,2]=>{{1,6},{2,4},{3},{5}}=>{{1,2},{3,5},{4},{6}}=>2
[4,1,5,6,2,3]=>[5,6,1,3,4,2]=>{{1,5},{2,6},{3},{4}}=>{{1,3},{2,6},{4},{5}}=>3
[4,1,5,6,3,2]=>[6,5,1,3,4,2]=>{{1,6},{2,5},{3},{4}}=>{{1,2},{3,6},{4},{5}}=>2
[4,1,6,2,3,5]=>[4,5,1,6,3,2]=>{{1,4,6},{2,5},{3}}=>{{1,2,5},{3,6},{4}}=>5
[4,1,6,2,5,3]=>[4,6,1,5,3,2]=>{{1,4,5},{2,6},{3}}=>{{1,3},{2,5,6},{4}}=>3
[4,1,6,3,2,5]=>[5,4,1,6,3,2]=>{{1,5},{2,4,6},{3}}=>{{1,3,5},{2,6},{4}}=>5
[4,1,6,3,5,2]=>[6,4,1,5,3,2]=>{{1,6},{2,4,5},{3}}=>{{1,2},{3,5,6},{4}}=>2
[4,1,6,5,2,3]=>[5,6,1,4,3,2]=>{{1,5},{2,6},{3},{4}}=>{{1,3},{2,6},{4},{5}}=>3
[4,1,6,5,3,2]=>[6,5,1,4,3,2]=>{{1,6},{2,5},{3},{4}}=>{{1,2},{3,6},{4},{5}}=>2
[4,2,1,3,5,6]=>[2,4,1,5,6,3]=>{{1,2,4,5,6},{3}}=>{{1,2,3,5,6},{4}}=>6
[4,2,1,3,6,5]=>[2,4,1,6,5,3]=>{{1,2,4,6},{3},{5}}=>{{1,2,3,5},{4},{6}}=>5
[4,2,1,5,3,6]=>[2,5,1,4,6,3]=>{{1,2,5,6},{3},{4}}=>{{1,2,3,6},{4},{5}}=>6
[4,2,1,5,6,3]=>[2,6,1,4,5,3]=>{{1,2,6},{3},{4},{5}}=>{{1,2,3},{4},{5},{6}}=>3
[4,2,1,6,3,5]=>[2,5,1,6,4,3]=>{{1,2,5},{3},{4,6}}=>{{1,5},{2,3,6},{4}}=>5
[4,2,1,6,5,3]=>[2,6,1,5,4,3]=>{{1,2,6},{3},{4,5}}=>{{1,2,3},{4},{5,6}}=>3
[4,2,3,1,5,6]=>[2,3,1,5,6,4]=>{{1,2,3},{4,5,6}}=>{{1,5,6},{2,3,4}}=>6
[4,2,3,1,6,5]=>[2,3,1,6,5,4]=>{{1,2,3},{4,6},{5}}=>{{1,5},{2,3,4},{6}}=>5
[4,2,3,5,1,6]=>[2,3,1,4,6,5]=>{{1,2,3},{4},{5,6}}=>{{1,6},{2,3,4},{5}}=>6
[4,2,3,5,6,1]=>[2,3,1,4,5,6]=>{{1,2,3},{4},{5},{6}}=>{{1},{2,3,4},{5},{6}}=>1
[4,2,3,6,1,5]=>[2,3,1,6,4,5]=>{{1,2,3},{4,6},{5}}=>{{1,5},{2,3,4},{6}}=>5
[4,2,3,6,5,1]=>[2,3,1,5,4,6]=>{{1,2,3},{4,5},{6}}=>{{1},{2,3,4},{5,6}}=>1
[4,2,5,1,3,6]=>[2,5,1,3,6,4]=>{{1,2,5,6},{3},{4}}=>{{1,2,3,6},{4},{5}}=>6
[4,2,5,1,6,3]=>[2,6,1,3,5,4]=>{{1,2,6},{3},{4},{5}}=>{{1,2,3},{4},{5},{6}}=>3
[4,2,5,3,1,6]=>[2,4,1,3,6,5]=>{{1,2,4},{3},{5,6}}=>{{1,6},{2,3,5},{4}}=>6
[4,2,5,3,6,1]=>[2,4,1,3,5,6]=>{{1,2,4},{3},{5},{6}}=>{{1},{2,3,5},{4},{6}}=>1
[4,2,5,6,1,3]=>[2,6,1,3,4,5]=>{{1,2,6},{3},{4},{5}}=>{{1,2,3},{4},{5},{6}}=>3
[4,2,5,6,3,1]=>[2,5,1,3,4,6]=>{{1,2,5},{3},{4},{6}}=>{{1},{2,3,6},{4},{5}}=>1
[4,2,6,1,3,5]=>[2,5,1,6,3,4]=>{{1,2,5},{3},{4,6}}=>{{1,5},{2,3,6},{4}}=>5
[4,2,6,1,5,3]=>[2,6,1,5,3,4]=>{{1,2,6},{3},{4,5}}=>{{1,2,3},{4},{5,6}}=>3
[4,2,6,3,1,5]=>[2,4,1,6,3,5]=>{{1,2,4,6},{3},{5}}=>{{1,2,3,5},{4},{6}}=>5
[4,2,6,3,5,1]=>[2,4,1,5,3,6]=>{{1,2,4,5},{3},{6}}=>{{1},{2,3,5,6},{4}}=>1
[4,2,6,5,1,3]=>[2,6,1,4,3,5]=>{{1,2,6},{3},{4},{5}}=>{{1,2,3},{4},{5},{6}}=>3
[4,2,6,5,3,1]=>[2,5,1,4,3,6]=>{{1,2,5},{3},{4},{6}}=>{{1},{2,3,6},{4},{5}}=>1
[4,3,1,2,5,6]=>[4,2,1,5,6,3]=>{{1,4,5,6},{2},{3}}=>{{1,2,5,6},{3},{4}}=>6
[4,3,1,2,6,5]=>[4,2,1,6,5,3]=>{{1,4,6},{2},{3},{5}}=>{{1,2,5},{3},{4},{6}}=>5
[4,3,1,5,2,6]=>[5,2,1,4,6,3]=>{{1,5,6},{2},{3},{4}}=>{{1,2,6},{3},{4},{5}}=>6
[4,3,1,5,6,2]=>[6,2,1,4,5,3]=>{{1,6},{2},{3},{4},{5}}=>{{1,2},{3},{4},{5},{6}}=>2
[4,3,1,6,2,5]=>[5,2,1,6,4,3]=>{{1,5},{2},{3},{4,6}}=>{{1,5},{2,6},{3},{4}}=>5
[4,3,1,6,5,2]=>[6,2,1,5,4,3]=>{{1,6},{2},{3},{4,5}}=>{{1,2},{3},{4},{5,6}}=>2
[4,3,2,1,5,6]=>[3,2,1,5,6,4]=>{{1,3},{2},{4,5,6}}=>{{1,5,6},{2,4},{3}}=>6
[4,3,2,1,6,5]=>[3,2,1,6,5,4]=>{{1,3},{2},{4,6},{5}}=>{{1,5},{2,4},{3},{6}}=>5
[4,3,2,5,1,6]=>[3,2,1,4,6,5]=>{{1,3},{2},{4},{5,6}}=>{{1,6},{2,4},{3},{5}}=>6
[4,3,2,5,6,1]=>[3,2,1,4,5,6]=>{{1,3},{2},{4},{5},{6}}=>{{1},{2,4},{3},{5},{6}}=>1
[4,3,2,6,1,5]=>[3,2,1,6,4,5]=>{{1,3},{2},{4,6},{5}}=>{{1,5},{2,4},{3},{6}}=>5
[4,3,2,6,5,1]=>[3,2,1,5,4,6]=>{{1,3},{2},{4,5},{6}}=>{{1},{2,4},{3},{5,6}}=>1
[4,3,5,1,2,6]=>[5,2,1,3,6,4]=>{{1,5,6},{2},{3},{4}}=>{{1,2,6},{3},{4},{5}}=>6
[4,3,5,1,6,2]=>[6,2,1,3,5,4]=>{{1,6},{2},{3},{4},{5}}=>{{1,2},{3},{4},{5},{6}}=>2
[4,3,5,2,1,6]=>[4,2,1,3,6,5]=>{{1,4},{2},{3},{5,6}}=>{{1,6},{2,5},{3},{4}}=>6
[4,3,5,2,6,1]=>[4,2,1,3,5,6]=>{{1,4},{2},{3},{5},{6}}=>{{1},{2,5},{3},{4},{6}}=>1
[4,3,5,6,1,2]=>[6,2,1,3,4,5]=>{{1,6},{2},{3},{4},{5}}=>{{1,2},{3},{4},{5},{6}}=>2
[4,3,5,6,2,1]=>[5,2,1,3,4,6]=>{{1,5},{2},{3},{4},{6}}=>{{1},{2,6},{3},{4},{5}}=>1
[4,3,6,1,2,5]=>[5,2,1,6,3,4]=>{{1,5},{2},{3},{4,6}}=>{{1,5},{2,6},{3},{4}}=>5
[4,3,6,1,5,2]=>[6,2,1,5,3,4]=>{{1,6},{2},{3},{4,5}}=>{{1,2},{3},{4},{5,6}}=>2
[4,3,6,2,1,5]=>[4,2,1,6,3,5]=>{{1,4,6},{2},{3},{5}}=>{{1,2,5},{3},{4},{6}}=>5
[4,3,6,2,5,1]=>[4,2,1,5,3,6]=>{{1,4,5},{2},{3},{6}}=>{{1},{2,5,6},{3},{4}}=>1
[4,3,6,5,1,2]=>[6,2,1,4,3,5]=>{{1,6},{2},{3},{4},{5}}=>{{1,2},{3},{4},{5},{6}}=>2
[4,3,6,5,2,1]=>[5,2,1,4,3,6]=>{{1,5},{2},{3},{4},{6}}=>{{1},{2,6},{3},{4},{5}}=>1
[4,5,1,2,3,6]=>[4,5,1,2,6,3]=>{{1,4},{2,5,6},{3}}=>{{1,3,6},{2,5},{4}}=>6
[4,5,1,2,6,3]=>[4,6,1,2,5,3]=>{{1,4},{2,6},{3},{5}}=>{{1,3},{2,5},{4},{6}}=>3
[4,5,1,3,2,6]=>[5,4,1,2,6,3]=>{{1,5,6},{2,4},{3}}=>{{1,2,6},{3,5},{4}}=>6
[4,5,1,3,6,2]=>[6,4,1,2,5,3]=>{{1,6},{2,4},{3},{5}}=>{{1,2},{3,5},{4},{6}}=>2
[4,5,1,6,2,3]=>[5,6,1,2,4,3]=>{{1,5},{2,6},{3},{4}}=>{{1,3},{2,6},{4},{5}}=>3
[4,5,1,6,3,2]=>[6,5,1,2,4,3]=>{{1,6},{2,5},{3},{4}}=>{{1,2},{3,6},{4},{5}}=>2
[4,5,2,1,3,6]=>[3,5,1,2,6,4]=>{{1,3},{2,5,6},{4}}=>{{1,3,6},{2,4},{5}}=>6
[4,5,2,1,6,3]=>[3,6,1,2,5,4]=>{{1,3},{2,6},{4},{5}}=>{{1,3},{2,4},{5},{6}}=>3
[4,5,2,3,1,6]=>[3,4,1,2,6,5]=>{{1,3},{2,4},{5,6}}=>{{1,6},{2,4},{3,5}}=>6
[4,5,2,3,6,1]=>[3,4,1,2,5,6]=>{{1,3},{2,4},{5},{6}}=>{{1},{2,4},{3,5},{6}}=>1
[4,5,2,6,1,3]=>[3,6,1,2,4,5]=>{{1,3},{2,6},{4},{5}}=>{{1,3},{2,4},{5},{6}}=>3
[4,5,2,6,3,1]=>[3,5,1,2,4,6]=>{{1,3},{2,5},{4},{6}}=>{{1},{2,4},{3,6},{5}}=>1
[4,5,3,1,2,6]=>[5,3,1,2,6,4]=>{{1,5,6},{2,3},{4}}=>{{1,2,6},{3,4},{5}}=>6
[4,5,3,1,6,2]=>[6,3,1,2,5,4]=>{{1,6},{2,3},{4},{5}}=>{{1,2},{3,4},{5},{6}}=>2
[4,5,3,2,1,6]=>[4,3,1,2,6,5]=>{{1,4},{2,3},{5,6}}=>{{1,6},{2,5},{3,4}}=>6
[4,5,3,2,6,1]=>[4,3,1,2,5,6]=>{{1,4},{2,3},{5},{6}}=>{{1},{2,5},{3,4},{6}}=>1
[4,5,3,6,1,2]=>[6,3,1,2,4,5]=>{{1,6},{2,3},{4},{5}}=>{{1,2},{3,4},{5},{6}}=>2
[4,5,3,6,2,1]=>[5,3,1,2,4,6]=>{{1,5},{2,3},{4},{6}}=>{{1},{2,6},{3,4},{5}}=>1
[4,5,6,1,2,3]=>[5,6,1,2,3,4]=>{{1,5},{2,6},{3},{4}}=>{{1,3},{2,6},{4},{5}}=>3
[4,5,6,1,3,2]=>[6,5,1,2,3,4]=>{{1,6},{2,5},{3},{4}}=>{{1,2},{3,6},{4},{5}}=>2
[4,5,6,2,1,3]=>[4,6,1,2,3,5]=>{{1,4},{2,6},{3},{5}}=>{{1,3},{2,5},{4},{6}}=>3
[4,5,6,2,3,1]=>[4,5,1,2,3,6]=>{{1,4},{2,5},{3},{6}}=>{{1},{2,5},{3,6},{4}}=>1
[4,5,6,3,1,2]=>[6,4,1,2,3,5]=>{{1,6},{2,4},{3},{5}}=>{{1,2},{3,5},{4},{6}}=>2
[4,5,6,3,2,1]=>[5,4,1,2,3,6]=>{{1,5},{2,4},{3},{6}}=>{{1},{2,6},{3,5},{4}}=>1
[4,6,1,2,3,5]=>[4,5,1,6,2,3]=>{{1,4,6},{2,5},{3}}=>{{1,2,5},{3,6},{4}}=>5
[4,6,1,2,5,3]=>[4,6,1,5,2,3]=>{{1,4,5},{2,6},{3}}=>{{1,3},{2,5,6},{4}}=>3
[4,6,1,3,2,5]=>[5,4,1,6,2,3]=>{{1,5},{2,4,6},{3}}=>{{1,3,5},{2,6},{4}}=>5
[4,6,1,3,5,2]=>[6,4,1,5,2,3]=>{{1,6},{2,4,5},{3}}=>{{1,2},{3,5,6},{4}}=>2
[4,6,1,5,2,3]=>[5,6,1,4,2,3]=>{{1,5},{2,6},{3},{4}}=>{{1,3},{2,6},{4},{5}}=>3
[4,6,1,5,3,2]=>[6,5,1,4,2,3]=>{{1,6},{2,5},{3},{4}}=>{{1,2},{3,6},{4},{5}}=>2
[4,6,2,1,3,5]=>[3,5,1,6,2,4]=>{{1,3},{2,5},{4,6}}=>{{1,5},{2,4},{3,6}}=>5
[4,6,2,1,5,3]=>[3,6,1,5,2,4]=>{{1,3},{2,6},{4,5}}=>{{1,3},{2,4},{5,6}}=>3
[4,6,2,3,1,5]=>[3,4,1,6,2,5]=>{{1,3},{2,4,6},{5}}=>{{1,3,5},{2,4},{6}}=>5
[4,6,2,3,5,1]=>[3,4,1,5,2,6]=>{{1,3},{2,4,5},{6}}=>{{1},{2,4},{3,5,6}}=>1
[4,6,2,5,1,3]=>[3,6,1,4,2,5]=>{{1,3},{2,6},{4},{5}}=>{{1,3},{2,4},{5},{6}}=>3
[4,6,2,5,3,1]=>[3,5,1,4,2,6]=>{{1,3},{2,5},{4},{6}}=>{{1},{2,4},{3,6},{5}}=>1
[4,6,3,1,2,5]=>[5,3,1,6,2,4]=>{{1,5},{2,3},{4,6}}=>{{1,5},{2,6},{3,4}}=>5
[4,6,3,1,5,2]=>[6,3,1,5,2,4]=>{{1,6},{2,3},{4,5}}=>{{1,2},{3,4},{5,6}}=>2
[4,6,3,2,1,5]=>[4,3,1,6,2,5]=>{{1,4,6},{2,3},{5}}=>{{1,2,5},{3,4},{6}}=>5
[4,6,3,2,5,1]=>[4,3,1,5,2,6]=>{{1,4,5},{2,3},{6}}=>{{1},{2,5,6},{3,4}}=>1
[4,6,3,5,1,2]=>[6,3,1,4,2,5]=>{{1,6},{2,3},{4},{5}}=>{{1,2},{3,4},{5},{6}}=>2
[4,6,3,5,2,1]=>[5,3,1,4,2,6]=>{{1,5},{2,3},{4},{6}}=>{{1},{2,6},{3,4},{5}}=>1
[4,6,5,1,2,3]=>[5,6,1,3,2,4]=>{{1,5},{2,6},{3},{4}}=>{{1,3},{2,6},{4},{5}}=>3
[4,6,5,1,3,2]=>[6,5,1,3,2,4]=>{{1,6},{2,5},{3},{4}}=>{{1,2},{3,6},{4},{5}}=>2
[4,6,5,2,1,3]=>[4,6,1,3,2,5]=>{{1,4},{2,6},{3},{5}}=>{{1,3},{2,5},{4},{6}}=>3
[4,6,5,2,3,1]=>[4,5,1,3,2,6]=>{{1,4},{2,5},{3},{6}}=>{{1},{2,5},{3,6},{4}}=>1
[4,6,5,3,1,2]=>[6,4,1,3,2,5]=>{{1,6},{2,4},{3},{5}}=>{{1,2},{3,5},{4},{6}}=>2
[4,6,5,3,2,1]=>[5,4,1,3,2,6]=>{{1,5},{2,4},{3},{6}}=>{{1},{2,6},{3,5},{4}}=>1
[5,1,2,3,4,6]=>[3,4,5,1,6,2]=>{{1,3,5,6},{2,4}}=>{{1,2,4,6},{3,5}}=>6
[5,1,2,3,6,4]=>[3,4,6,1,5,2]=>{{1,3,6},{2,4},{5}}=>{{1,2,4},{3,5},{6}}=>4
[5,1,2,4,3,6]=>[3,5,4,1,6,2]=>{{1,3,4},{2,5,6}}=>{{1,3,6},{2,4,5}}=>6
[5,1,2,4,6,3]=>[3,6,4,1,5,2]=>{{1,3,4},{2,6},{5}}=>{{1,3},{2,4,5},{6}}=>3
[5,1,2,6,3,4]=>[3,5,6,1,4,2]=>{{1,3,6},{2,5},{4}}=>{{1,2,4},{3,6},{5}}=>4
[5,1,2,6,4,3]=>[3,6,5,1,4,2]=>{{1,3,5},{2,6},{4}}=>{{1,3},{2,4,6},{5}}=>3
[5,1,3,2,4,6]=>[4,3,5,1,6,2]=>{{1,4},{2,3,5,6}}=>{{1,3,4,6},{2,5}}=>6
[5,1,3,2,6,4]=>[4,3,6,1,5,2]=>{{1,4},{2,3,6},{5}}=>{{1,3,4},{2,5},{6}}=>4
[5,1,3,4,2,6]=>[5,3,4,1,6,2]=>{{1,5,6},{2,3,4}}=>{{1,2,6},{3,4,5}}=>6
[5,1,3,4,6,2]=>[6,3,4,1,5,2]=>{{1,6},{2,3,4},{5}}=>{{1,2},{3,4,5},{6}}=>2
[5,1,3,6,2,4]=>[5,3,6,1,4,2]=>{{1,5},{2,3,6},{4}}=>{{1,3,4},{2,6},{5}}=>4
[5,1,3,6,4,2]=>[6,3,5,1,4,2]=>{{1,6},{2,3,5},{4}}=>{{1,2},{3,4,6},{5}}=>2
[5,1,4,2,3,6]=>[4,5,3,1,6,2]=>{{1,4},{2,5,6},{3}}=>{{1,3,6},{2,5},{4}}=>6
[5,1,4,2,6,3]=>[4,6,3,1,5,2]=>{{1,4},{2,6},{3},{5}}=>{{1,3},{2,5},{4},{6}}=>3
[5,1,4,3,2,6]=>[5,4,3,1,6,2]=>{{1,5,6},{2,4},{3}}=>{{1,2,6},{3,5},{4}}=>6
[5,1,4,3,6,2]=>[6,4,3,1,5,2]=>{{1,6},{2,4},{3},{5}}=>{{1,2},{3,5},{4},{6}}=>2
[5,1,4,6,2,3]=>[5,6,3,1,4,2]=>{{1,5},{2,6},{3},{4}}=>{{1,3},{2,6},{4},{5}}=>3
[5,1,4,6,3,2]=>[6,5,3,1,4,2]=>{{1,6},{2,5},{3},{4}}=>{{1,2},{3,6},{4},{5}}=>2
[5,1,6,2,3,4]=>[4,5,6,1,3,2]=>{{1,4},{2,5},{3,6}}=>{{1,4},{2,5},{3,6}}=>4
[5,1,6,2,4,3]=>[4,6,5,1,3,2]=>{{1,4},{2,6},{3,5}}=>{{1,3},{2,5},{4,6}}=>3
[5,1,6,3,2,4]=>[5,4,6,1,3,2]=>{{1,5},{2,4},{3,6}}=>{{1,4},{2,6},{3,5}}=>4
[5,1,6,3,4,2]=>[6,4,5,1,3,2]=>{{1,6},{2,4},{3,5}}=>{{1,2},{3,5},{4,6}}=>2
[5,1,6,4,2,3]=>[5,6,4,1,3,2]=>{{1,5},{2,6},{3,4}}=>{{1,3},{2,6},{4,5}}=>3
[5,1,6,4,3,2]=>[6,5,4,1,3,2]=>{{1,6},{2,5},{3,4}}=>{{1,2},{3,6},{4,5}}=>2
[5,2,1,3,4,6]=>[2,4,5,1,6,3]=>{{1,2,4},{3,5,6}}=>{{1,4,6},{2,3,5}}=>6
[5,2,1,3,6,4]=>[2,4,6,1,5,3]=>{{1,2,4},{3,6},{5}}=>{{1,4},{2,3,5},{6}}=>4
[5,2,1,4,3,6]=>[2,5,4,1,6,3]=>{{1,2,5,6},{3,4}}=>{{1,2,3,6},{4,5}}=>6
[5,2,1,4,6,3]=>[2,6,4,1,5,3]=>{{1,2,6},{3,4},{5}}=>{{1,2,3},{4,5},{6}}=>3
[5,2,1,6,3,4]=>[2,5,6,1,4,3]=>{{1,2,5},{3,6},{4}}=>{{1,4},{2,3,6},{5}}=>4
[5,2,1,6,4,3]=>[2,6,5,1,4,3]=>{{1,2,6},{3,5},{4}}=>{{1,2,3},{4,6},{5}}=>3
[5,2,3,1,4,6]=>[2,3,5,1,6,4]=>{{1,2,3,5,6},{4}}=>{{1,2,3,4,6},{5}}=>6
[5,2,3,1,6,4]=>[2,3,6,1,5,4]=>{{1,2,3,6},{4},{5}}=>{{1,2,3,4},{5},{6}}=>4
[5,2,3,4,1,6]=>[2,3,4,1,6,5]=>{{1,2,3,4},{5,6}}=>{{1,6},{2,3,4,5}}=>6
[5,2,3,4,6,1]=>[2,3,4,1,5,6]=>{{1,2,3,4},{5},{6}}=>{{1},{2,3,4,5},{6}}=>1
[5,2,3,6,1,4]=>[2,3,6,1,4,5]=>{{1,2,3,6},{4},{5}}=>{{1,2,3,4},{5},{6}}=>4
[5,2,3,6,4,1]=>[2,3,5,1,4,6]=>{{1,2,3,5},{4},{6}}=>{{1},{2,3,4,6},{5}}=>1
[5,2,4,1,3,6]=>[2,5,3,1,6,4]=>{{1,2,5,6},{3},{4}}=>{{1,2,3,6},{4},{5}}=>6
[5,2,4,1,6,3]=>[2,6,3,1,5,4]=>{{1,2,6},{3},{4},{5}}=>{{1,2,3},{4},{5},{6}}=>3
[5,2,4,3,1,6]=>[2,4,3,1,6,5]=>{{1,2,4},{3},{5,6}}=>{{1,6},{2,3,5},{4}}=>6
[5,2,4,3,6,1]=>[2,4,3,1,5,6]=>{{1,2,4},{3},{5},{6}}=>{{1},{2,3,5},{4},{6}}=>1
[5,2,4,6,1,3]=>[2,6,3,1,4,5]=>{{1,2,6},{3},{4},{5}}=>{{1,2,3},{4},{5},{6}}=>3
[5,2,4,6,3,1]=>[2,5,3,1,4,6]=>{{1,2,5},{3},{4},{6}}=>{{1},{2,3,6},{4},{5}}=>1
[5,2,6,1,3,4]=>[2,5,6,1,3,4]=>{{1,2,5},{3,6},{4}}=>{{1,4},{2,3,6},{5}}=>4
[5,2,6,1,4,3]=>[2,6,5,1,3,4]=>{{1,2,6},{3,5},{4}}=>{{1,2,3},{4,6},{5}}=>3
[5,2,6,3,1,4]=>[2,4,6,1,3,5]=>{{1,2,4},{3,6},{5}}=>{{1,4},{2,3,5},{6}}=>4
[5,2,6,3,4,1]=>[2,4,5,1,3,6]=>{{1,2,4},{3,5},{6}}=>{{1},{2,3,5},{4,6}}=>1
[5,2,6,4,1,3]=>[2,6,4,1,3,5]=>{{1,2,6},{3,4},{5}}=>{{1,2,3},{4,5},{6}}=>3
[5,2,6,4,3,1]=>[2,5,4,1,3,6]=>{{1,2,5},{3,4},{6}}=>{{1},{2,3,6},{4,5}}=>1
[5,3,1,2,4,6]=>[4,2,5,1,6,3]=>{{1,4},{2},{3,5,6}}=>{{1,4,6},{2,5},{3}}=>6
[5,3,1,2,6,4]=>[4,2,6,1,5,3]=>{{1,4},{2},{3,6},{5}}=>{{1,4},{2,5},{3},{6}}=>4
[5,3,1,4,2,6]=>[5,2,4,1,6,3]=>{{1,5,6},{2},{3,4}}=>{{1,2,6},{3},{4,5}}=>6
[5,3,1,4,6,2]=>[6,2,4,1,5,3]=>{{1,6},{2},{3,4},{5}}=>{{1,2},{3},{4,5},{6}}=>2
[5,3,1,6,2,4]=>[5,2,6,1,4,3]=>{{1,5},{2},{3,6},{4}}=>{{1,4},{2,6},{3},{5}}=>4
[5,3,1,6,4,2]=>[6,2,5,1,4,3]=>{{1,6},{2},{3,5},{4}}=>{{1,2},{3},{4,6},{5}}=>2
[5,3,2,1,4,6]=>[3,2,5,1,6,4]=>{{1,3,5,6},{2},{4}}=>{{1,2,4,6},{3},{5}}=>6
[5,3,2,1,6,4]=>[3,2,6,1,5,4]=>{{1,3,6},{2},{4},{5}}=>{{1,2,4},{3},{5},{6}}=>4
[5,3,2,4,1,6]=>[3,2,4,1,6,5]=>{{1,3,4},{2},{5,6}}=>{{1,6},{2,4,5},{3}}=>6
[5,3,2,4,6,1]=>[3,2,4,1,5,6]=>{{1,3,4},{2},{5},{6}}=>{{1},{2,4,5},{3},{6}}=>1
[5,3,2,6,1,4]=>[3,2,6,1,4,5]=>{{1,3,6},{2},{4},{5}}=>{{1,2,4},{3},{5},{6}}=>4
[5,3,2,6,4,1]=>[3,2,5,1,4,6]=>{{1,3,5},{2},{4},{6}}=>{{1},{2,4,6},{3},{5}}=>1
[5,3,4,1,2,6]=>[5,2,3,1,6,4]=>{{1,5,6},{2},{3},{4}}=>{{1,2,6},{3},{4},{5}}=>6
[5,3,4,1,6,2]=>[6,2,3,1,5,4]=>{{1,6},{2},{3},{4},{5}}=>{{1,2},{3},{4},{5},{6}}=>2
[5,3,4,2,1,6]=>[4,2,3,1,6,5]=>{{1,4},{2},{3},{5,6}}=>{{1,6},{2,5},{3},{4}}=>6
[5,3,4,2,6,1]=>[4,2,3,1,5,6]=>{{1,4},{2},{3},{5},{6}}=>{{1},{2,5},{3},{4},{6}}=>1
[5,3,4,6,1,2]=>[6,2,3,1,4,5]=>{{1,6},{2},{3},{4},{5}}=>{{1,2},{3},{4},{5},{6}}=>2
[5,3,4,6,2,1]=>[5,2,3,1,4,6]=>{{1,5},{2},{3},{4},{6}}=>{{1},{2,6},{3},{4},{5}}=>1
[5,3,6,1,2,4]=>[5,2,6,1,3,4]=>{{1,5},{2},{3,6},{4}}=>{{1,4},{2,6},{3},{5}}=>4
[5,3,6,1,4,2]=>[6,2,5,1,3,4]=>{{1,6},{2},{3,5},{4}}=>{{1,2},{3},{4,6},{5}}=>2
[5,3,6,2,1,4]=>[4,2,6,1,3,5]=>{{1,4},{2},{3,6},{5}}=>{{1,4},{2,5},{3},{6}}=>4
[5,3,6,2,4,1]=>[4,2,5,1,3,6]=>{{1,4},{2},{3,5},{6}}=>{{1},{2,5},{3},{4,6}}=>1
[5,3,6,4,1,2]=>[6,2,4,1,3,5]=>{{1,6},{2},{3,4},{5}}=>{{1,2},{3},{4,5},{6}}=>2
[5,3,6,4,2,1]=>[5,2,4,1,3,6]=>{{1,5},{2},{3,4},{6}}=>{{1},{2,6},{3},{4,5}}=>1
[5,4,1,2,3,6]=>[4,5,2,1,6,3]=>{{1,4},{2,5,6},{3}}=>{{1,3,6},{2,5},{4}}=>6
[5,4,1,2,6,3]=>[4,6,2,1,5,3]=>{{1,4},{2,6},{3},{5}}=>{{1,3},{2,5},{4},{6}}=>3
[5,4,1,3,2,6]=>[5,4,2,1,6,3]=>{{1,5,6},{2,4},{3}}=>{{1,2,6},{3,5},{4}}=>6
[5,4,1,3,6,2]=>[6,4,2,1,5,3]=>{{1,6},{2,4},{3},{5}}=>{{1,2},{3,5},{4},{6}}=>2
[5,4,1,6,2,3]=>[5,6,2,1,4,3]=>{{1,5},{2,6},{3},{4}}=>{{1,3},{2,6},{4},{5}}=>3
[5,4,1,6,3,2]=>[6,5,2,1,4,3]=>{{1,6},{2,5},{3},{4}}=>{{1,2},{3,6},{4},{5}}=>2
[5,4,2,1,3,6]=>[3,5,2,1,6,4]=>{{1,3},{2,5,6},{4}}=>{{1,3,6},{2,4},{5}}=>6
[5,4,2,1,6,3]=>[3,6,2,1,5,4]=>{{1,3},{2,6},{4},{5}}=>{{1,3},{2,4},{5},{6}}=>3
[5,4,2,3,1,6]=>[3,4,2,1,6,5]=>{{1,3},{2,4},{5,6}}=>{{1,6},{2,4},{3,5}}=>6
[5,4,2,3,6,1]=>[3,4,2,1,5,6]=>{{1,3},{2,4},{5},{6}}=>{{1},{2,4},{3,5},{6}}=>1
[5,4,2,6,1,3]=>[3,6,2,1,4,5]=>{{1,3},{2,6},{4},{5}}=>{{1,3},{2,4},{5},{6}}=>3
[5,4,2,6,3,1]=>[3,5,2,1,4,6]=>{{1,3},{2,5},{4},{6}}=>{{1},{2,4},{3,6},{5}}=>1
[5,4,3,1,2,6]=>[5,3,2,1,6,4]=>{{1,5,6},{2,3},{4}}=>{{1,2,6},{3,4},{5}}=>6
[5,4,3,1,6,2]=>[6,3,2,1,5,4]=>{{1,6},{2,3},{4},{5}}=>{{1,2},{3,4},{5},{6}}=>2
[5,4,3,2,1,6]=>[4,3,2,1,6,5]=>{{1,4},{2,3},{5,6}}=>{{1,6},{2,5},{3,4}}=>6
[5,4,3,2,6,1]=>[4,3,2,1,5,6]=>{{1,4},{2,3},{5},{6}}=>{{1},{2,5},{3,4},{6}}=>1
[5,4,3,6,1,2]=>[6,3,2,1,4,5]=>{{1,6},{2,3},{4},{5}}=>{{1,2},{3,4},{5},{6}}=>2
[5,4,3,6,2,1]=>[5,3,2,1,4,6]=>{{1,5},{2,3},{4},{6}}=>{{1},{2,6},{3,4},{5}}=>1
[5,4,6,1,2,3]=>[5,6,2,1,3,4]=>{{1,5},{2,6},{3},{4}}=>{{1,3},{2,6},{4},{5}}=>3
[5,4,6,1,3,2]=>[6,5,2,1,3,4]=>{{1,6},{2,5},{3},{4}}=>{{1,2},{3,6},{4},{5}}=>2
[5,4,6,2,1,3]=>[4,6,2,1,3,5]=>{{1,4},{2,6},{3},{5}}=>{{1,3},{2,5},{4},{6}}=>3
[5,4,6,2,3,1]=>[4,5,2,1,3,6]=>{{1,4},{2,5},{3},{6}}=>{{1},{2,5},{3,6},{4}}=>1
[5,4,6,3,1,2]=>[6,4,2,1,3,5]=>{{1,6},{2,4},{3},{5}}=>{{1,2},{3,5},{4},{6}}=>2
[5,4,6,3,2,1]=>[5,4,2,1,3,6]=>{{1,5},{2,4},{3},{6}}=>{{1},{2,6},{3,5},{4}}=>1
[5,6,1,2,3,4]=>[4,5,6,1,2,3]=>{{1,4},{2,5},{3,6}}=>{{1,4},{2,5},{3,6}}=>4
[5,6,1,2,4,3]=>[4,6,5,1,2,3]=>{{1,4},{2,6},{3,5}}=>{{1,3},{2,5},{4,6}}=>3
[5,6,1,3,2,4]=>[5,4,6,1,2,3]=>{{1,5},{2,4},{3,6}}=>{{1,4},{2,6},{3,5}}=>4
[5,6,1,3,4,2]=>[6,4,5,1,2,3]=>{{1,6},{2,4},{3,5}}=>{{1,2},{3,5},{4,6}}=>2
[5,6,1,4,2,3]=>[5,6,4,1,2,3]=>{{1,5},{2,6},{3,4}}=>{{1,3},{2,6},{4,5}}=>3
[5,6,1,4,3,2]=>[6,5,4,1,2,3]=>{{1,6},{2,5},{3,4}}=>{{1,2},{3,6},{4,5}}=>2
[5,6,2,1,3,4]=>[3,5,6,1,2,4]=>{{1,3,6},{2,5},{4}}=>{{1,2,4},{3,6},{5}}=>4
[5,6,2,1,4,3]=>[3,6,5,1,2,4]=>{{1,3,5},{2,6},{4}}=>{{1,3},{2,4,6},{5}}=>3
[5,6,2,3,1,4]=>[3,4,6,1,2,5]=>{{1,3,6},{2,4},{5}}=>{{1,2,4},{3,5},{6}}=>4
[5,6,2,3,4,1]=>[3,4,5,1,2,6]=>{{1,3,5},{2,4},{6}}=>{{1},{2,4,6},{3,5}}=>1
[5,6,2,4,1,3]=>[3,6,4,1,2,5]=>{{1,3,4},{2,6},{5}}=>{{1,3},{2,4,5},{6}}=>3
[5,6,2,4,3,1]=>[3,5,4,1,2,6]=>{{1,3,4},{2,5},{6}}=>{{1},{2,4,5},{3,6}}=>1
[5,6,3,1,2,4]=>[5,3,6,1,2,4]=>{{1,5},{2,3,6},{4}}=>{{1,3,4},{2,6},{5}}=>4
[5,6,3,1,4,2]=>[6,3,5,1,2,4]=>{{1,6},{2,3,5},{4}}=>{{1,2},{3,4,6},{5}}=>2
[5,6,3,2,1,4]=>[4,3,6,1,2,5]=>{{1,4},{2,3,6},{5}}=>{{1,3,4},{2,5},{6}}=>4
[5,6,3,2,4,1]=>[4,3,5,1,2,6]=>{{1,4},{2,3,5},{6}}=>{{1},{2,5},{3,4,6}}=>1
[5,6,3,4,1,2]=>[6,3,4,1,2,5]=>{{1,6},{2,3,4},{5}}=>{{1,2},{3,4,5},{6}}=>2
[5,6,3,4,2,1]=>[5,3,4,1,2,6]=>{{1,5},{2,3,4},{6}}=>{{1},{2,6},{3,4,5}}=>1
[5,6,4,1,2,3]=>[5,6,3,1,2,4]=>{{1,5},{2,6},{3},{4}}=>{{1,3},{2,6},{4},{5}}=>3
[5,6,4,1,3,2]=>[6,5,3,1,2,4]=>{{1,6},{2,5},{3},{4}}=>{{1,2},{3,6},{4},{5}}=>2
[5,6,4,2,1,3]=>[4,6,3,1,2,5]=>{{1,4},{2,6},{3},{5}}=>{{1,3},{2,5},{4},{6}}=>3
[5,6,4,2,3,1]=>[4,5,3,1,2,6]=>{{1,4},{2,5},{3},{6}}=>{{1},{2,5},{3,6},{4}}=>1
[5,6,4,3,1,2]=>[6,4,3,1,2,5]=>{{1,6},{2,4},{3},{5}}=>{{1,2},{3,5},{4},{6}}=>2
[5,6,4,3,2,1]=>[5,4,3,1,2,6]=>{{1,5},{2,4},{3},{6}}=>{{1},{2,6},{3,5},{4}}=>1
[6,1,2,3,4,5]=>[3,4,5,6,1,2]=>{{1,3,5},{2,4,6}}=>{{1,3,5},{2,4,6}}=>5
[6,1,2,3,5,4]=>[3,4,6,5,1,2]=>{{1,3,6},{2,4,5}}=>{{1,2,4},{3,5,6}}=>4
[6,1,2,4,3,5]=>[3,5,4,6,1,2]=>{{1,3,4,6},{2,5}}=>{{1,2,4,5},{3,6}}=>5
[6,1,2,4,5,3]=>[3,6,4,5,1,2]=>{{1,3,4,5},{2,6}}=>{{1,3},{2,4,5,6}}=>3
[6,1,2,5,3,4]=>[3,5,6,4,1,2]=>{{1,3,6},{2,5},{4}}=>{{1,2,4},{3,6},{5}}=>4
[6,1,2,5,4,3]=>[3,6,5,4,1,2]=>{{1,3,5},{2,6},{4}}=>{{1,3},{2,4,6},{5}}=>3
[6,1,3,2,4,5]=>[4,3,5,6,1,2]=>{{1,4,6},{2,3,5}}=>{{1,2,5},{3,4,6}}=>5
[6,1,3,2,5,4]=>[4,3,6,5,1,2]=>{{1,4,5},{2,3,6}}=>{{1,3,4},{2,5,6}}=>4
[6,1,3,4,2,5]=>[5,3,4,6,1,2]=>{{1,5},{2,3,4,6}}=>{{1,3,4,5},{2,6}}=>5
[6,1,3,4,5,2]=>[6,3,4,5,1,2]=>{{1,6},{2,3,4,5}}=>{{1,2},{3,4,5,6}}=>2
[6,1,3,5,2,4]=>[5,3,6,4,1,2]=>{{1,5},{2,3,6},{4}}=>{{1,3,4},{2,6},{5}}=>4
[6,1,3,5,4,2]=>[6,3,5,4,1,2]=>{{1,6},{2,3,5},{4}}=>{{1,2},{3,4,6},{5}}=>2
[6,1,4,2,3,5]=>[4,5,3,6,1,2]=>{{1,4,6},{2,5},{3}}=>{{1,2,5},{3,6},{4}}=>5
[6,1,4,2,5,3]=>[4,6,3,5,1,2]=>{{1,4,5},{2,6},{3}}=>{{1,3},{2,5,6},{4}}=>3
[6,1,4,3,2,5]=>[5,4,3,6,1,2]=>{{1,5},{2,4,6},{3}}=>{{1,3,5},{2,6},{4}}=>5
[6,1,4,3,5,2]=>[6,4,3,5,1,2]=>{{1,6},{2,4,5},{3}}=>{{1,2},{3,5,6},{4}}=>2
[6,1,4,5,2,3]=>[5,6,3,4,1,2]=>{{1,5},{2,6},{3},{4}}=>{{1,3},{2,6},{4},{5}}=>3
[6,1,4,5,3,2]=>[6,5,3,4,1,2]=>{{1,6},{2,5},{3},{4}}=>{{1,2},{3,6},{4},{5}}=>2
[6,1,5,2,3,4]=>[4,5,6,3,1,2]=>{{1,4},{2,5},{3,6}}=>{{1,4},{2,5},{3,6}}=>4
[6,1,5,2,4,3]=>[4,6,5,3,1,2]=>{{1,4},{2,6},{3,5}}=>{{1,3},{2,5},{4,6}}=>3
[6,1,5,3,2,4]=>[5,4,6,3,1,2]=>{{1,5},{2,4},{3,6}}=>{{1,4},{2,6},{3,5}}=>4
[6,1,5,3,4,2]=>[6,4,5,3,1,2]=>{{1,6},{2,4},{3,5}}=>{{1,2},{3,5},{4,6}}=>2
[6,1,5,4,2,3]=>[5,6,4,3,1,2]=>{{1,5},{2,6},{3,4}}=>{{1,3},{2,6},{4,5}}=>3
[6,1,5,4,3,2]=>[6,5,4,3,1,2]=>{{1,6},{2,5},{3,4}}=>{{1,2},{3,6},{4,5}}=>2
[6,2,1,3,4,5]=>[2,4,5,6,1,3]=>{{1,2,4,6},{3,5}}=>{{1,2,3,5},{4,6}}=>5
[6,2,1,3,5,4]=>[2,4,6,5,1,3]=>{{1,2,4,5},{3,6}}=>{{1,4},{2,3,5,6}}=>4
[6,2,1,4,3,5]=>[2,5,4,6,1,3]=>{{1,2,5},{3,4,6}}=>{{1,4,5},{2,3,6}}=>5
[6,2,1,4,5,3]=>[2,6,4,5,1,3]=>{{1,2,6},{3,4,5}}=>{{1,2,3},{4,5,6}}=>3
[6,2,1,5,3,4]=>[2,5,6,4,1,3]=>{{1,2,5},{3,6},{4}}=>{{1,4},{2,3,6},{5}}=>4
[6,2,1,5,4,3]=>[2,6,5,4,1,3]=>{{1,2,6},{3,5},{4}}=>{{1,2,3},{4,6},{5}}=>3
[6,2,3,1,4,5]=>[2,3,5,6,1,4]=>{{1,2,3,5},{4,6}}=>{{1,5},{2,3,4,6}}=>5
[6,2,3,1,5,4]=>[2,3,6,5,1,4]=>{{1,2,3,6},{4,5}}=>{{1,2,3,4},{5,6}}=>4
[6,2,3,4,1,5]=>[2,3,4,6,1,5]=>{{1,2,3,4,6},{5}}=>{{1,2,3,4,5},{6}}=>5
[6,2,3,4,5,1]=>[2,3,4,5,1,6]=>{{1,2,3,4,5},{6}}=>{{1},{2,3,4,5,6}}=>1
[6,2,3,5,1,4]=>[2,3,6,4,1,5]=>{{1,2,3,6},{4},{5}}=>{{1,2,3,4},{5},{6}}=>4
[6,2,3,5,4,1]=>[2,3,5,4,1,6]=>{{1,2,3,5},{4},{6}}=>{{1},{2,3,4,6},{5}}=>1
[6,2,4,1,3,5]=>[2,5,3,6,1,4]=>{{1,2,5},{3},{4,6}}=>{{1,5},{2,3,6},{4}}=>5
[6,2,4,1,5,3]=>[2,6,3,5,1,4]=>{{1,2,6},{3},{4,5}}=>{{1,2,3},{4},{5,6}}=>3
[6,2,4,3,1,5]=>[2,4,3,6,1,5]=>{{1,2,4,6},{3},{5}}=>{{1,2,3,5},{4},{6}}=>5
[6,2,4,3,5,1]=>[2,4,3,5,1,6]=>{{1,2,4,5},{3},{6}}=>{{1},{2,3,5,6},{4}}=>1
[6,2,4,5,1,3]=>[2,6,3,4,1,5]=>{{1,2,6},{3},{4},{5}}=>{{1,2,3},{4},{5},{6}}=>3
[6,2,4,5,3,1]=>[2,5,3,4,1,6]=>{{1,2,5},{3},{4},{6}}=>{{1},{2,3,6},{4},{5}}=>1
[6,2,5,1,3,4]=>[2,5,6,3,1,4]=>{{1,2,5},{3,6},{4}}=>{{1,4},{2,3,6},{5}}=>4
[6,2,5,1,4,3]=>[2,6,5,3,1,4]=>{{1,2,6},{3,5},{4}}=>{{1,2,3},{4,6},{5}}=>3
[6,2,5,3,1,4]=>[2,4,6,3,1,5]=>{{1,2,4},{3,6},{5}}=>{{1,4},{2,3,5},{6}}=>4
[6,2,5,3,4,1]=>[2,4,5,3,1,6]=>{{1,2,4},{3,5},{6}}=>{{1},{2,3,5},{4,6}}=>1
[6,2,5,4,1,3]=>[2,6,4,3,1,5]=>{{1,2,6},{3,4},{5}}=>{{1,2,3},{4,5},{6}}=>3
[6,2,5,4,3,1]=>[2,5,4,3,1,6]=>{{1,2,5},{3,4},{6}}=>{{1},{2,3,6},{4,5}}=>1
[6,3,1,2,4,5]=>[4,2,5,6,1,3]=>{{1,4,6},{2},{3,5}}=>{{1,2,5},{3},{4,6}}=>5
[6,3,1,2,5,4]=>[4,2,6,5,1,3]=>{{1,4,5},{2},{3,6}}=>{{1,4},{2,5,6},{3}}=>4
[6,3,1,4,2,5]=>[5,2,4,6,1,3]=>{{1,5},{2},{3,4,6}}=>{{1,4,5},{2,6},{3}}=>5
[6,3,1,4,5,2]=>[6,2,4,5,1,3]=>{{1,6},{2},{3,4,5}}=>{{1,2},{3},{4,5,6}}=>2
[6,3,1,5,2,4]=>[5,2,6,4,1,3]=>{{1,5},{2},{3,6},{4}}=>{{1,4},{2,6},{3},{5}}=>4
[6,3,1,5,4,2]=>[6,2,5,4,1,3]=>{{1,6},{2},{3,5},{4}}=>{{1,2},{3},{4,6},{5}}=>2
[6,3,2,1,4,5]=>[3,2,5,6,1,4]=>{{1,3,5},{2},{4,6}}=>{{1,5},{2,4,6},{3}}=>5
[6,3,2,1,5,4]=>[3,2,6,5,1,4]=>{{1,3,6},{2},{4,5}}=>{{1,2,4},{3},{5,6}}=>4
[6,3,2,4,1,5]=>[3,2,4,6,1,5]=>{{1,3,4,6},{2},{5}}=>{{1,2,4,5},{3},{6}}=>5
[6,3,2,4,5,1]=>[3,2,4,5,1,6]=>{{1,3,4,5},{2},{6}}=>{{1},{2,4,5,6},{3}}=>1
[6,3,2,5,1,4]=>[3,2,6,4,1,5]=>{{1,3,6},{2},{4},{5}}=>{{1,2,4},{3},{5},{6}}=>4
[6,3,2,5,4,1]=>[3,2,5,4,1,6]=>{{1,3,5},{2},{4},{6}}=>{{1},{2,4,6},{3},{5}}=>1
[6,3,4,1,2,5]=>[5,2,3,6,1,4]=>{{1,5},{2},{3},{4,6}}=>{{1,5},{2,6},{3},{4}}=>5
[6,3,4,1,5,2]=>[6,2,3,5,1,4]=>{{1,6},{2},{3},{4,5}}=>{{1,2},{3},{4},{5,6}}=>2
[6,3,4,2,1,5]=>[4,2,3,6,1,5]=>{{1,4,6},{2},{3},{5}}=>{{1,2,5},{3},{4},{6}}=>5
[6,3,4,2,5,1]=>[4,2,3,5,1,6]=>{{1,4,5},{2},{3},{6}}=>{{1},{2,5,6},{3},{4}}=>1
[6,3,4,5,1,2]=>[6,2,3,4,1,5]=>{{1,6},{2},{3},{4},{5}}=>{{1,2},{3},{4},{5},{6}}=>2
[6,3,4,5,2,1]=>[5,2,3,4,1,6]=>{{1,5},{2},{3},{4},{6}}=>{{1},{2,6},{3},{4},{5}}=>1
[6,3,5,1,2,4]=>[5,2,6,3,1,4]=>{{1,5},{2},{3,6},{4}}=>{{1,4},{2,6},{3},{5}}=>4
[6,3,5,1,4,2]=>[6,2,5,3,1,4]=>{{1,6},{2},{3,5},{4}}=>{{1,2},{3},{4,6},{5}}=>2
[6,3,5,2,1,4]=>[4,2,6,3,1,5]=>{{1,4},{2},{3,6},{5}}=>{{1,4},{2,5},{3},{6}}=>4
[6,3,5,2,4,1]=>[4,2,5,3,1,6]=>{{1,4},{2},{3,5},{6}}=>{{1},{2,5},{3},{4,6}}=>1
[6,3,5,4,1,2]=>[6,2,4,3,1,5]=>{{1,6},{2},{3,4},{5}}=>{{1,2},{3},{4,5},{6}}=>2
[6,3,5,4,2,1]=>[5,2,4,3,1,6]=>{{1,5},{2},{3,4},{6}}=>{{1},{2,6},{3},{4,5}}=>1
[6,4,1,2,3,5]=>[4,5,2,6,1,3]=>{{1,4,6},{2,5},{3}}=>{{1,2,5},{3,6},{4}}=>5
[6,4,1,2,5,3]=>[4,6,2,5,1,3]=>{{1,4,5},{2,6},{3}}=>{{1,3},{2,5,6},{4}}=>3
[6,4,1,3,2,5]=>[5,4,2,6,1,3]=>{{1,5},{2,4,6},{3}}=>{{1,3,5},{2,6},{4}}=>5
[6,4,1,3,5,2]=>[6,4,2,5,1,3]=>{{1,6},{2,4,5},{3}}=>{{1,2},{3,5,6},{4}}=>2
[6,4,1,5,2,3]=>[5,6,2,4,1,3]=>{{1,5},{2,6},{3},{4}}=>{{1,3},{2,6},{4},{5}}=>3
[6,4,1,5,3,2]=>[6,5,2,4,1,3]=>{{1,6},{2,5},{3},{4}}=>{{1,2},{3,6},{4},{5}}=>2
[6,4,2,1,3,5]=>[3,5,2,6,1,4]=>{{1,3},{2,5},{4,6}}=>{{1,5},{2,4},{3,6}}=>5
[6,4,2,1,5,3]=>[3,6,2,5,1,4]=>{{1,3},{2,6},{4,5}}=>{{1,3},{2,4},{5,6}}=>3
[6,4,2,3,1,5]=>[3,4,2,6,1,5]=>{{1,3},{2,4,6},{5}}=>{{1,3,5},{2,4},{6}}=>5
[6,4,2,3,5,1]=>[3,4,2,5,1,6]=>{{1,3},{2,4,5},{6}}=>{{1},{2,4},{3,5,6}}=>1
[6,4,2,5,1,3]=>[3,6,2,4,1,5]=>{{1,3},{2,6},{4},{5}}=>{{1,3},{2,4},{5},{6}}=>3
[6,4,2,5,3,1]=>[3,5,2,4,1,6]=>{{1,3},{2,5},{4},{6}}=>{{1},{2,4},{3,6},{5}}=>1
[6,4,3,1,2,5]=>[5,3,2,6,1,4]=>{{1,5},{2,3},{4,6}}=>{{1,5},{2,6},{3,4}}=>5
[6,4,3,1,5,2]=>[6,3,2,5,1,4]=>{{1,6},{2,3},{4,5}}=>{{1,2},{3,4},{5,6}}=>2
[6,4,3,2,1,5]=>[4,3,2,6,1,5]=>{{1,4,6},{2,3},{5}}=>{{1,2,5},{3,4},{6}}=>5
[6,4,3,2,5,1]=>[4,3,2,5,1,6]=>{{1,4,5},{2,3},{6}}=>{{1},{2,5,6},{3,4}}=>1
[6,4,3,5,1,2]=>[6,3,2,4,1,5]=>{{1,6},{2,3},{4},{5}}=>{{1,2},{3,4},{5},{6}}=>2
[6,4,3,5,2,1]=>[5,3,2,4,1,6]=>{{1,5},{2,3},{4},{6}}=>{{1},{2,6},{3,4},{5}}=>1
[6,4,5,1,2,3]=>[5,6,2,3,1,4]=>{{1,5},{2,6},{3},{4}}=>{{1,3},{2,6},{4},{5}}=>3
[6,4,5,1,3,2]=>[6,5,2,3,1,4]=>{{1,6},{2,5},{3},{4}}=>{{1,2},{3,6},{4},{5}}=>2
[6,4,5,2,1,3]=>[4,6,2,3,1,5]=>{{1,4},{2,6},{3},{5}}=>{{1,3},{2,5},{4},{6}}=>3
[6,4,5,2,3,1]=>[4,5,2,3,1,6]=>{{1,4},{2,5},{3},{6}}=>{{1},{2,5},{3,6},{4}}=>1
[6,4,5,3,1,2]=>[6,4,2,3,1,5]=>{{1,6},{2,4},{3},{5}}=>{{1,2},{3,5},{4},{6}}=>2
[6,4,5,3,2,1]=>[5,4,2,3,1,6]=>{{1,5},{2,4},{3},{6}}=>{{1},{2,6},{3,5},{4}}=>1
[6,5,1,2,3,4]=>[4,5,6,2,1,3]=>{{1,4},{2,5},{3,6}}=>{{1,4},{2,5},{3,6}}=>4
[6,5,1,2,4,3]=>[4,6,5,2,1,3]=>{{1,4},{2,6},{3,5}}=>{{1,3},{2,5},{4,6}}=>3
[6,5,1,3,2,4]=>[5,4,6,2,1,3]=>{{1,5},{2,4},{3,6}}=>{{1,4},{2,6},{3,5}}=>4
[6,5,1,3,4,2]=>[6,4,5,2,1,3]=>{{1,6},{2,4},{3,5}}=>{{1,2},{3,5},{4,6}}=>2
[6,5,1,4,2,3]=>[5,6,4,2,1,3]=>{{1,5},{2,6},{3,4}}=>{{1,3},{2,6},{4,5}}=>3
[6,5,1,4,3,2]=>[6,5,4,2,1,3]=>{{1,6},{2,5},{3,4}}=>{{1,2},{3,6},{4,5}}=>2
[6,5,2,1,3,4]=>[3,5,6,2,1,4]=>{{1,3,6},{2,5},{4}}=>{{1,2,4},{3,6},{5}}=>4
[6,5,2,1,4,3]=>[3,6,5,2,1,4]=>{{1,3,5},{2,6},{4}}=>{{1,3},{2,4,6},{5}}=>3
[6,5,2,3,1,4]=>[3,4,6,2,1,5]=>{{1,3,6},{2,4},{5}}=>{{1,2,4},{3,5},{6}}=>4
[6,5,2,3,4,1]=>[3,4,5,2,1,6]=>{{1,3,5},{2,4},{6}}=>{{1},{2,4,6},{3,5}}=>1
[6,5,2,4,1,3]=>[3,6,4,2,1,5]=>{{1,3,4},{2,6},{5}}=>{{1,3},{2,4,5},{6}}=>3
[6,5,2,4,3,1]=>[3,5,4,2,1,6]=>{{1,3,4},{2,5},{6}}=>{{1},{2,4,5},{3,6}}=>1
[6,5,3,1,2,4]=>[5,3,6,2,1,4]=>{{1,5},{2,3,6},{4}}=>{{1,3,4},{2,6},{5}}=>4
[6,5,3,1,4,2]=>[6,3,5,2,1,4]=>{{1,6},{2,3,5},{4}}=>{{1,2},{3,4,6},{5}}=>2
[6,5,3,2,1,4]=>[4,3,6,2,1,5]=>{{1,4},{2,3,6},{5}}=>{{1,3,4},{2,5},{6}}=>4
[6,5,3,2,4,1]=>[4,3,5,2,1,6]=>{{1,4},{2,3,5},{6}}=>{{1},{2,5},{3,4,6}}=>1
[6,5,3,4,1,2]=>[6,3,4,2,1,5]=>{{1,6},{2,3,4},{5}}=>{{1,2},{3,4,5},{6}}=>2
[6,5,3,4,2,1]=>[5,3,4,2,1,6]=>{{1,5},{2,3,4},{6}}=>{{1},{2,6},{3,4,5}}=>1
[6,5,4,1,2,3]=>[5,6,3,2,1,4]=>{{1,5},{2,6},{3},{4}}=>{{1,3},{2,6},{4},{5}}=>3
[6,5,4,1,3,2]=>[6,5,3,2,1,4]=>{{1,6},{2,5},{3},{4}}=>{{1,2},{3,6},{4},{5}}=>2
[6,5,4,2,1,3]=>[4,6,3,2,1,5]=>{{1,4},{2,6},{3},{5}}=>{{1,3},{2,5},{4},{6}}=>3
[6,5,4,2,3,1]=>[4,5,3,2,1,6]=>{{1,4},{2,5},{3},{6}}=>{{1},{2,5},{3,6},{4}}=>1
[6,5,4,3,1,2]=>[6,4,3,2,1,5]=>{{1,6},{2,4},{3},{5}}=>{{1,2},{3,5},{4},{6}}=>2
[6,5,4,3,2,1]=>[5,4,3,2,1,6]=>{{1,5},{2,4},{3},{6}}=>{{1},{2,6},{3,5},{4}}=>1
[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>{{1,2,3,4,5,6,7}}=>{{1,2,3,4,5,6,7}}=>7
[1,2,3,4,5,7,6]=>[2,3,4,5,7,6,1]=>{{1,2,3,4,5,7},{6}}=>{{1,2,3,4,5,6},{7}}=>6
[1,2,3,4,6,5,7]=>[2,3,4,6,5,7,1]=>{{1,2,3,4,6,7},{5}}=>{{1,2,3,4,5,7},{6}}=>7
[1,2,3,4,6,7,5]=>[2,3,4,7,5,6,1]=>{{1,2,3,4,7},{5},{6}}=>{{1,2,3,4,5},{6},{7}}=>5
[1,2,3,4,7,5,6]=>[2,3,4,6,7,5,1]=>{{1,2,3,4,6},{5,7}}=>{{1,6},{2,3,4,5,7}}=>6
[1,2,3,4,7,6,5]=>[2,3,4,7,6,5,1]=>{{1,2,3,4,7},{5,6}}=>{{1,2,3,4,5},{6,7}}=>5
[1,2,3,5,4,6,7]=>[2,3,5,4,6,7,1]=>{{1,2,3,5,6,7},{4}}=>{{1,2,3,4,6,7},{5}}=>7
[1,2,3,5,4,7,6]=>[2,3,5,4,7,6,1]=>{{1,2,3,5,7},{4},{6}}=>{{1,2,3,4,6},{5},{7}}=>6
[1,2,3,5,6,4,7]=>[2,3,6,4,5,7,1]=>{{1,2,3,6,7},{4},{5}}=>{{1,2,3,4,7},{5},{6}}=>7
[1,2,3,5,6,7,4]=>[2,3,7,4,5,6,1]=>{{1,2,3,7},{4},{5},{6}}=>{{1,2,3,4},{5},{6},{7}}=>4
[1,2,3,5,7,4,6]=>[2,3,6,4,7,5,1]=>{{1,2,3,6},{4},{5,7}}=>{{1,6},{2,3,4,7},{5}}=>6
[1,2,3,5,7,6,4]=>[2,3,7,4,6,5,1]=>{{1,2,3,7},{4},{5,6}}=>{{1,2,3,4},{5},{6,7}}=>4
[1,2,3,6,4,5,7]=>[2,3,5,6,4,7,1]=>{{1,2,3,5},{4,6,7}}=>{{1,5,7},{2,3,4,6}}=>7
[1,2,3,6,4,7,5]=>[2,3,5,7,4,6,1]=>{{1,2,3,5},{4,7},{6}}=>{{1,5},{2,3,4,6},{7}}=>5
[1,2,3,6,5,4,7]=>[2,3,6,5,4,7,1]=>{{1,2,3,6,7},{4,5}}=>{{1,2,3,4,7},{5,6}}=>7
[1,2,3,6,5,7,4]=>[2,3,7,5,4,6,1]=>{{1,2,3,7},{4,5},{6}}=>{{1,2,3,4},{5,6},{7}}=>4
[1,2,3,6,7,4,5]=>[2,3,6,7,4,5,1]=>{{1,2,3,6},{4,7},{5}}=>{{1,5},{2,3,4,7},{6}}=>5
[1,2,3,6,7,5,4]=>[2,3,7,6,4,5,1]=>{{1,2,3,7},{4,6},{5}}=>{{1,2,3,4},{5,7},{6}}=>4
[1,2,3,7,4,5,6]=>[2,3,5,6,7,4,1]=>{{1,2,3,5,7},{4,6}}=>{{1,2,3,4,6},{5,7}}=>6
[1,2,3,7,4,6,5]=>[2,3,5,7,6,4,1]=>{{1,2,3,5,6},{4,7}}=>{{1,5},{2,3,4,6,7}}=>5
[1,2,3,7,5,4,6]=>[2,3,6,5,7,4,1]=>{{1,2,3,6},{4,5,7}}=>{{1,5,6},{2,3,4,7}}=>6
[1,2,3,7,5,6,4]=>[2,3,7,5,6,4,1]=>{{1,2,3,7},{4,5,6}}=>{{1,2,3,4},{5,6,7}}=>4
[1,2,3,7,6,4,5]=>[2,3,6,7,5,4,1]=>{{1,2,3,6},{4,7},{5}}=>{{1,5},{2,3,4,7},{6}}=>5
[1,2,3,7,6,5,4]=>[2,3,7,6,5,4,1]=>{{1,2,3,7},{4,6},{5}}=>{{1,2,3,4},{5,7},{6}}=>4
[1,2,4,3,5,6,7]=>[2,4,3,5,6,7,1]=>{{1,2,4,5,6,7},{3}}=>{{1,2,3,5,6,7},{4}}=>7
[1,2,4,3,5,7,6]=>[2,4,3,5,7,6,1]=>{{1,2,4,5,7},{3},{6}}=>{{1,2,3,5,6},{4},{7}}=>6
[1,2,4,3,6,5,7]=>[2,4,3,6,5,7,1]=>{{1,2,4,6,7},{3},{5}}=>{{1,2,3,5,7},{4},{6}}=>7
[1,2,4,3,6,7,5]=>[2,4,3,7,5,6,1]=>{{1,2,4,7},{3},{5},{6}}=>{{1,2,3,5},{4},{6},{7}}=>5
[1,2,4,3,7,5,6]=>[2,4,3,6,7,5,1]=>{{1,2,4,6},{3},{5,7}}=>{{1,6},{2,3,5,7},{4}}=>6
[1,2,4,3,7,6,5]=>[2,4,3,7,6,5,1]=>{{1,2,4,7},{3},{5,6}}=>{{1,2,3,5},{4},{6,7}}=>5
[1,2,4,5,3,6,7]=>[2,5,3,4,6,7,1]=>{{1,2,5,6,7},{3},{4}}=>{{1,2,3,6,7},{4},{5}}=>7
[1,2,4,5,3,7,6]=>[2,5,3,4,7,6,1]=>{{1,2,5,7},{3},{4},{6}}=>{{1,2,3,6},{4},{5},{7}}=>6
[1,2,4,5,6,3,7]=>[2,6,3,4,5,7,1]=>{{1,2,6,7},{3},{4},{5}}=>{{1,2,3,7},{4},{5},{6}}=>7
[1,2,4,5,6,7,3]=>[2,7,3,4,5,6,1]=>{{1,2,7},{3},{4},{5},{6}}=>{{1,2,3},{4},{5},{6},{7}}=>3
[1,2,4,5,7,3,6]=>[2,6,3,4,7,5,1]=>{{1,2,6},{3},{4},{5,7}}=>{{1,6},{2,3,7},{4},{5}}=>6
[1,2,4,5,7,6,3]=>[2,7,3,4,6,5,1]=>{{1,2,7},{3},{4},{5,6}}=>{{1,2,3},{4},{5},{6,7}}=>3
[1,2,4,6,3,5,7]=>[2,5,3,6,4,7,1]=>{{1,2,5},{3},{4,6,7}}=>{{1,5,7},{2,3,6},{4}}=>7
[1,2,4,6,3,7,5]=>[2,5,3,7,4,6,1]=>{{1,2,5},{3},{4,7},{6}}=>{{1,5},{2,3,6},{4},{7}}=>5
[1,2,4,6,5,3,7]=>[2,6,3,5,4,7,1]=>{{1,2,6,7},{3},{4,5}}=>{{1,2,3,7},{4},{5,6}}=>7
[1,2,4,6,5,7,3]=>[2,7,3,5,4,6,1]=>{{1,2,7},{3},{4,5},{6}}=>{{1,2,3},{4},{5,6},{7}}=>3
[1,2,4,6,7,3,5]=>[2,6,3,7,4,5,1]=>{{1,2,6},{3},{4,7},{5}}=>{{1,5},{2,3,7},{4},{6}}=>5
[1,2,4,6,7,5,3]=>[2,7,3,6,4,5,1]=>{{1,2,7},{3},{4,6},{5}}=>{{1,2,3},{4},{5,7},{6}}=>3
[1,2,4,7,3,5,6]=>[2,5,3,6,7,4,1]=>{{1,2,5,7},{3},{4,6}}=>{{1,2,3,6},{4},{5,7}}=>6
[1,2,4,7,3,6,5]=>[2,5,3,7,6,4,1]=>{{1,2,5,6},{3},{4,7}}=>{{1,5},{2,3,6,7},{4}}=>5
[1,2,4,7,5,3,6]=>[2,6,3,5,7,4,1]=>{{1,2,6},{3},{4,5,7}}=>{{1,5,6},{2,3,7},{4}}=>6
[1,2,4,7,5,6,3]=>[2,7,3,5,6,4,1]=>{{1,2,7},{3},{4,5,6}}=>{{1,2,3},{4},{5,6,7}}=>3
[1,2,4,7,6,3,5]=>[2,6,3,7,5,4,1]=>{{1,2,6},{3},{4,7},{5}}=>{{1,5},{2,3,7},{4},{6}}=>5
[1,2,4,7,6,5,3]=>[2,7,3,6,5,4,1]=>{{1,2,7},{3},{4,6},{5}}=>{{1,2,3},{4},{5,7},{6}}=>3
[1,2,5,3,4,6,7]=>[2,4,5,3,6,7,1]=>{{1,2,4},{3,5,6,7}}=>{{1,4,6,7},{2,3,5}}=>7
[1,2,5,3,4,7,6]=>[2,4,5,3,7,6,1]=>{{1,2,4},{3,5,7},{6}}=>{{1,4,6},{2,3,5},{7}}=>6
[1,2,5,3,6,4,7]=>[2,4,6,3,5,7,1]=>{{1,2,4},{3,6,7},{5}}=>{{1,4,7},{2,3,5},{6}}=>7
[1,2,5,3,6,7,4]=>[2,4,7,3,5,6,1]=>{{1,2,4},{3,7},{5},{6}}=>{{1,4},{2,3,5},{6},{7}}=>4
[1,2,5,3,7,4,6]=>[2,4,6,3,7,5,1]=>{{1,2,4},{3,6},{5,7}}=>{{1,6},{2,3,5},{4,7}}=>6
[1,2,5,3,7,6,4]=>[2,4,7,3,6,5,1]=>{{1,2,4},{3,7},{5,6}}=>{{1,4},{2,3,5},{6,7}}=>4
[1,2,5,4,3,6,7]=>[2,5,4,3,6,7,1]=>{{1,2,5,6,7},{3,4}}=>{{1,2,3,6,7},{4,5}}=>7
[1,2,5,4,3,7,6]=>[2,5,4,3,7,6,1]=>{{1,2,5,7},{3,4},{6}}=>{{1,2,3,6},{4,5},{7}}=>6
[1,2,5,4,6,3,7]=>[2,6,4,3,5,7,1]=>{{1,2,6,7},{3,4},{5}}=>{{1,2,3,7},{4,5},{6}}=>7
[1,2,5,4,6,7,3]=>[2,7,4,3,5,6,1]=>{{1,2,7},{3,4},{5},{6}}=>{{1,2,3},{4,5},{6},{7}}=>3
[1,2,5,4,7,3,6]=>[2,6,4,3,7,5,1]=>{{1,2,6},{3,4},{5,7}}=>{{1,6},{2,3,7},{4,5}}=>6
[1,2,5,4,7,6,3]=>[2,7,4,3,6,5,1]=>{{1,2,7},{3,4},{5,6}}=>{{1,2,3},{4,5},{6,7}}=>3
[1,2,5,6,3,4,7]=>[2,5,6,3,4,7,1]=>{{1,2,5},{3,6,7},{4}}=>{{1,4,7},{2,3,6},{5}}=>7
[1,2,5,6,3,7,4]=>[2,5,7,3,4,6,1]=>{{1,2,5},{3,7},{4},{6}}=>{{1,4},{2,3,6},{5},{7}}=>4
[1,2,5,6,4,3,7]=>[2,6,5,3,4,7,1]=>{{1,2,6,7},{3,5},{4}}=>{{1,2,3,7},{4,6},{5}}=>7
[1,2,5,6,4,7,3]=>[2,7,5,3,4,6,1]=>{{1,2,7},{3,5},{4},{6}}=>{{1,2,3},{4,6},{5},{7}}=>3
[1,2,5,6,7,3,4]=>[2,6,7,3,4,5,1]=>{{1,2,6},{3,7},{4},{5}}=>{{1,4},{2,3,7},{5},{6}}=>4
[1,2,5,6,7,4,3]=>[2,7,6,3,4,5,1]=>{{1,2,7},{3,6},{4},{5}}=>{{1,2,3},{4,7},{5},{6}}=>3
[1,2,5,7,3,4,6]=>[2,5,6,3,7,4,1]=>{{1,2,5,7},{3,6},{4}}=>{{1,2,3,6},{4,7},{5}}=>6
[1,2,5,7,3,6,4]=>[2,5,7,3,6,4,1]=>{{1,2,5,6},{3,7},{4}}=>{{1,4},{2,3,6,7},{5}}=>4
[1,2,5,7,4,3,6]=>[2,6,5,3,7,4,1]=>{{1,2,6},{3,5,7},{4}}=>{{1,4,6},{2,3,7},{5}}=>6
[1,2,5,7,4,6,3]=>[2,7,5,3,6,4,1]=>{{1,2,7},{3,5,6},{4}}=>{{1,2,3},{4,6,7},{5}}=>3
[1,2,5,7,6,3,4]=>[2,6,7,3,5,4,1]=>{{1,2,6},{3,7},{4},{5}}=>{{1,4},{2,3,7},{5},{6}}=>4
[1,2,5,7,6,4,3]=>[2,7,6,3,5,4,1]=>{{1,2,7},{3,6},{4},{5}}=>{{1,2,3},{4,7},{5},{6}}=>3
[1,2,6,3,4,5,7]=>[2,4,5,6,3,7,1]=>{{1,2,4,6,7},{3,5}}=>{{1,2,3,5,7},{4,6}}=>7
[1,2,6,3,4,7,5]=>[2,4,5,7,3,6,1]=>{{1,2,4,7},{3,5},{6}}=>{{1,2,3,5},{4,6},{7}}=>5
[1,2,6,3,5,4,7]=>[2,4,6,5,3,7,1]=>{{1,2,4,5},{3,6,7}}=>{{1,4,7},{2,3,5,6}}=>7
[1,2,6,3,5,7,4]=>[2,4,7,5,3,6,1]=>{{1,2,4,5},{3,7},{6}}=>{{1,4},{2,3,5,6},{7}}=>4
[1,2,6,3,7,4,5]=>[2,4,6,7,3,5,1]=>{{1,2,4,7},{3,6},{5}}=>{{1,2,3,5},{4,7},{6}}=>5
[1,2,6,3,7,5,4]=>[2,4,7,6,3,5,1]=>{{1,2,4,6},{3,7},{5}}=>{{1,4},{2,3,5,7},{6}}=>4
[1,2,6,4,3,5,7]=>[2,5,4,6,3,7,1]=>{{1,2,5},{3,4,6,7}}=>{{1,4,5,7},{2,3,6}}=>7
[1,2,6,4,3,7,5]=>[2,5,4,7,3,6,1]=>{{1,2,5},{3,4,7},{6}}=>{{1,4,5},{2,3,6},{7}}=>5
[1,2,6,4,5,3,7]=>[2,6,4,5,3,7,1]=>{{1,2,6,7},{3,4,5}}=>{{1,2,3,7},{4,5,6}}=>7
[1,2,6,4,5,7,3]=>[2,7,4,5,3,6,1]=>{{1,2,7},{3,4,5},{6}}=>{{1,2,3},{4,5,6},{7}}=>3
[1,2,6,4,7,3,5]=>[2,6,4,7,3,5,1]=>{{1,2,6},{3,4,7},{5}}=>{{1,4,5},{2,3,7},{6}}=>5
[1,2,6,4,7,5,3]=>[2,7,4,6,3,5,1]=>{{1,2,7},{3,4,6},{5}}=>{{1,2,3},{4,5,7},{6}}=>3
[1,2,6,5,3,4,7]=>[2,5,6,4,3,7,1]=>{{1,2,5},{3,6,7},{4}}=>{{1,4,7},{2,3,6},{5}}=>7
[1,2,6,5,3,7,4]=>[2,5,7,4,3,6,1]=>{{1,2,5},{3,7},{4},{6}}=>{{1,4},{2,3,6},{5},{7}}=>4
[1,2,6,5,4,3,7]=>[2,6,5,4,3,7,1]=>{{1,2,6,7},{3,5},{4}}=>{{1,2,3,7},{4,6},{5}}=>7
[1,2,6,5,4,7,3]=>[2,7,5,4,3,6,1]=>{{1,2,7},{3,5},{4},{6}}=>{{1,2,3},{4,6},{5},{7}}=>3
[1,2,6,5,7,3,4]=>[2,6,7,4,3,5,1]=>{{1,2,6},{3,7},{4},{5}}=>{{1,4},{2,3,7},{5},{6}}=>4
[1,2,6,5,7,4,3]=>[2,7,6,4,3,5,1]=>{{1,2,7},{3,6},{4},{5}}=>{{1,2,3},{4,7},{5},{6}}=>3
[1,2,6,7,3,4,5]=>[2,5,6,7,3,4,1]=>{{1,2,5},{3,6},{4,7}}=>{{1,5},{2,3,6},{4,7}}=>5
[1,2,6,7,3,5,4]=>[2,5,7,6,3,4,1]=>{{1,2,5},{3,7},{4,6}}=>{{1,4},{2,3,6},{5,7}}=>4
[1,2,6,7,4,3,5]=>[2,6,5,7,3,4,1]=>{{1,2,6},{3,5},{4,7}}=>{{1,5},{2,3,7},{4,6}}=>5
[1,2,6,7,4,5,3]=>[2,7,5,6,3,4,1]=>{{1,2,7},{3,5},{4,6}}=>{{1,2,3},{4,6},{5,7}}=>3
[1,2,6,7,5,3,4]=>[2,6,7,5,3,4,1]=>{{1,2,6},{3,7},{4,5}}=>{{1,4},{2,3,7},{5,6}}=>4
[1,2,6,7,5,4,3]=>[2,7,6,5,3,4,1]=>{{1,2,7},{3,6},{4,5}}=>{{1,2,3},{4,7},{5,6}}=>3
[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>{{1,2,4,6},{3,5,7}}=>{{1,4,6},{2,3,5,7}}=>6
[1,2,7,3,4,6,5]=>[2,4,5,7,6,3,1]=>{{1,2,4,7},{3,5,6}}=>{{1,2,3,5},{4,6,7}}=>5
[1,2,7,3,5,4,6]=>[2,4,6,5,7,3,1]=>{{1,2,4,5,7},{3,6}}=>{{1,2,3,5,6},{4,7}}=>6
[1,2,7,3,5,6,4]=>[2,4,7,5,6,3,1]=>{{1,2,4,5,6},{3,7}}=>{{1,4},{2,3,5,6,7}}=>4
[1,2,7,3,6,4,5]=>[2,4,6,7,5,3,1]=>{{1,2,4,7},{3,6},{5}}=>{{1,2,3,5},{4,7},{6}}=>5
[1,2,7,3,6,5,4]=>[2,4,7,6,5,3,1]=>{{1,2,4,6},{3,7},{5}}=>{{1,4},{2,3,5,7},{6}}=>4
[1,2,7,4,3,5,6]=>[2,5,4,6,7,3,1]=>{{1,2,5,7},{3,4,6}}=>{{1,2,3,6},{4,5,7}}=>6
[1,2,7,4,3,6,5]=>[2,5,4,7,6,3,1]=>{{1,2,5,6},{3,4,7}}=>{{1,4,5},{2,3,6,7}}=>5
[1,2,7,4,5,3,6]=>[2,6,4,5,7,3,1]=>{{1,2,6},{3,4,5,7}}=>{{1,4,5,6},{2,3,7}}=>6
[1,2,7,4,5,6,3]=>[2,7,4,5,6,3,1]=>{{1,2,7},{3,4,5,6}}=>{{1,2,3},{4,5,6,7}}=>3
[1,2,7,4,6,3,5]=>[2,6,4,7,5,3,1]=>{{1,2,6},{3,4,7},{5}}=>{{1,4,5},{2,3,7},{6}}=>5
[1,2,7,4,6,5,3]=>[2,7,4,6,5,3,1]=>{{1,2,7},{3,4,6},{5}}=>{{1,2,3},{4,5,7},{6}}=>3
[1,2,7,5,3,4,6]=>[2,5,6,4,7,3,1]=>{{1,2,5,7},{3,6},{4}}=>{{1,2,3,6},{4,7},{5}}=>6
[1,2,7,5,3,6,4]=>[2,5,7,4,6,3,1]=>{{1,2,5,6},{3,7},{4}}=>{{1,4},{2,3,6,7},{5}}=>4
[1,2,7,5,4,3,6]=>[2,6,5,4,7,3,1]=>{{1,2,6},{3,5,7},{4}}=>{{1,4,6},{2,3,7},{5}}=>6
[1,2,7,5,4,6,3]=>[2,7,5,4,6,3,1]=>{{1,2,7},{3,5,6},{4}}=>{{1,2,3},{4,6,7},{5}}=>3
[1,2,7,5,6,3,4]=>[2,6,7,4,5,3,1]=>{{1,2,6},{3,7},{4},{5}}=>{{1,4},{2,3,7},{5},{6}}=>4
[1,2,7,5,6,4,3]=>[2,7,6,4,5,3,1]=>{{1,2,7},{3,6},{4},{5}}=>{{1,2,3},{4,7},{5},{6}}=>3
[1,2,7,6,3,4,5]=>[2,5,6,7,4,3,1]=>{{1,2,5},{3,6},{4,7}}=>{{1,5},{2,3,6},{4,7}}=>5
[1,2,7,6,3,5,4]=>[2,5,7,6,4,3,1]=>{{1,2,5},{3,7},{4,6}}=>{{1,4},{2,3,6},{5,7}}=>4
[1,2,7,6,4,3,5]=>[2,6,5,7,4,3,1]=>{{1,2,6},{3,5},{4,7}}=>{{1,5},{2,3,7},{4,6}}=>5
[1,2,7,6,4,5,3]=>[2,7,5,6,4,3,1]=>{{1,2,7},{3,5},{4,6}}=>{{1,2,3},{4,6},{5,7}}=>3
[1,2,7,6,5,3,4]=>[2,6,7,5,4,3,1]=>{{1,2,6},{3,7},{4,5}}=>{{1,4},{2,3,7},{5,6}}=>4
[1,2,7,6,5,4,3]=>[2,7,6,5,4,3,1]=>{{1,2,7},{3,6},{4,5}}=>{{1,2,3},{4,7},{5,6}}=>3
[1,3,2,4,5,6,7]=>[3,2,4,5,6,7,1]=>{{1,3,4,5,6,7},{2}}=>{{1,2,4,5,6,7},{3}}=>7
[1,3,2,4,5,7,6]=>[3,2,4,5,7,6,1]=>{{1,3,4,5,7},{2},{6}}=>{{1,2,4,5,6},{3},{7}}=>6
[1,3,2,4,6,5,7]=>[3,2,4,6,5,7,1]=>{{1,3,4,6,7},{2},{5}}=>{{1,2,4,5,7},{3},{6}}=>7
[1,3,2,4,6,7,5]=>[3,2,4,7,5,6,1]=>{{1,3,4,7},{2},{5},{6}}=>{{1,2,4,5},{3},{6},{7}}=>5
[1,3,2,4,7,5,6]=>[3,2,4,6,7,5,1]=>{{1,3,4,6},{2},{5,7}}=>{{1,6},{2,4,5,7},{3}}=>6
[1,3,2,4,7,6,5]=>[3,2,4,7,6,5,1]=>{{1,3,4,7},{2},{5,6}}=>{{1,2,4,5},{3},{6,7}}=>5
[1,3,2,5,4,6,7]=>[3,2,5,4,6,7,1]=>{{1,3,5,6,7},{2},{4}}=>{{1,2,4,6,7},{3},{5}}=>7
[1,3,2,5,4,7,6]=>[3,2,5,4,7,6,1]=>{{1,3,5,7},{2},{4},{6}}=>{{1,2,4,6},{3},{5},{7}}=>6
[1,3,2,5,6,4,7]=>[3,2,6,4,5,7,1]=>{{1,3,6,7},{2},{4},{5}}=>{{1,2,4,7},{3},{5},{6}}=>7
[1,3,2,5,6,7,4]=>[3,2,7,4,5,6,1]=>{{1,3,7},{2},{4},{5},{6}}=>{{1,2,4},{3},{5},{6},{7}}=>4
[1,3,2,5,7,4,6]=>[3,2,6,4,7,5,1]=>{{1,3,6},{2},{4},{5,7}}=>{{1,6},{2,4,7},{3},{5}}=>6
[1,3,2,5,7,6,4]=>[3,2,7,4,6,5,1]=>{{1,3,7},{2},{4},{5,6}}=>{{1,2,4},{3},{5},{6,7}}=>4
[1,3,2,6,4,5,7]=>[3,2,5,6,4,7,1]=>{{1,3,5},{2},{4,6,7}}=>{{1,5,7},{2,4,6},{3}}=>7
[1,3,2,6,4,7,5]=>[3,2,5,7,4,6,1]=>{{1,3,5},{2},{4,7},{6}}=>{{1,5},{2,4,6},{3},{7}}=>5
[1,3,2,6,5,4,7]=>[3,2,6,5,4,7,1]=>{{1,3,6,7},{2},{4,5}}=>{{1,2,4,7},{3},{5,6}}=>7
[1,3,2,6,5,7,4]=>[3,2,7,5,4,6,1]=>{{1,3,7},{2},{4,5},{6}}=>{{1,2,4},{3},{5,6},{7}}=>4
[1,3,2,6,7,4,5]=>[3,2,6,7,4,5,1]=>{{1,3,6},{2},{4,7},{5}}=>{{1,5},{2,4,7},{3},{6}}=>5
[1,3,2,6,7,5,4]=>[3,2,7,6,4,5,1]=>{{1,3,7},{2},{4,6},{5}}=>{{1,2,4},{3},{5,7},{6}}=>4
[1,3,2,7,4,5,6]=>[3,2,5,6,7,4,1]=>{{1,3,5,7},{2},{4,6}}=>{{1,2,4,6},{3},{5,7}}=>6
[1,3,2,7,4,6,5]=>[3,2,5,7,6,4,1]=>{{1,3,5,6},{2},{4,7}}=>{{1,5},{2,4,6,7},{3}}=>5
[1,3,2,7,5,4,6]=>[3,2,6,5,7,4,1]=>{{1,3,6},{2},{4,5,7}}=>{{1,5,6},{2,4,7},{3}}=>6
[1,3,2,7,5,6,4]=>[3,2,7,5,6,4,1]=>{{1,3,7},{2},{4,5,6}}=>{{1,2,4},{3},{5,6,7}}=>4
[1,3,2,7,6,4,5]=>[3,2,6,7,5,4,1]=>{{1,3,6},{2},{4,7},{5}}=>{{1,5},{2,4,7},{3},{6}}=>5
[1,3,2,7,6,5,4]=>[3,2,7,6,5,4,1]=>{{1,3,7},{2},{4,6},{5}}=>{{1,2,4},{3},{5,7},{6}}=>4
[1,3,4,2,5,6,7]=>[4,2,3,5,6,7,1]=>{{1,4,5,6,7},{2},{3}}=>{{1,2,5,6,7},{3},{4}}=>7
[1,3,4,2,5,7,6]=>[4,2,3,5,7,6,1]=>{{1,4,5,7},{2},{3},{6}}=>{{1,2,5,6},{3},{4},{7}}=>6
[1,3,4,2,6,5,7]=>[4,2,3,6,5,7,1]=>{{1,4,6,7},{2},{3},{5}}=>{{1,2,5,7},{3},{4},{6}}=>7
[1,3,4,2,6,7,5]=>[4,2,3,7,5,6,1]=>{{1,4,7},{2},{3},{5},{6}}=>{{1,2,5},{3},{4},{6},{7}}=>5
[1,3,4,2,7,5,6]=>[4,2,3,6,7,5,1]=>{{1,4,6},{2},{3},{5,7}}=>{{1,6},{2,5,7},{3},{4}}=>6
[1,3,4,2,7,6,5]=>[4,2,3,7,6,5,1]=>{{1,4,7},{2},{3},{5,6}}=>{{1,2,5},{3},{4},{6,7}}=>5
[1,3,4,5,2,6,7]=>[5,2,3,4,6,7,1]=>{{1,5,6,7},{2},{3},{4}}=>{{1,2,6,7},{3},{4},{5}}=>7
[1,3,4,5,2,7,6]=>[5,2,3,4,7,6,1]=>{{1,5,7},{2},{3},{4},{6}}=>{{1,2,6},{3},{4},{5},{7}}=>6
[1,3,4,5,6,2,7]=>[6,2,3,4,5,7,1]=>{{1,6,7},{2},{3},{4},{5}}=>{{1,2,7},{3},{4},{5},{6}}=>7
[1,3,4,5,6,7,2]=>[7,2,3,4,5,6,1]=>{{1,7},{2},{3},{4},{5},{6}}=>{{1,2},{3},{4},{5},{6},{7}}=>2
[1,3,4,5,7,2,6]=>[6,2,3,4,7,5,1]=>{{1,6},{2},{3},{4},{5,7}}=>{{1,6},{2,7},{3},{4},{5}}=>6
[1,3,4,5,7,6,2]=>[7,2,3,4,6,5,1]=>{{1,7},{2},{3},{4},{5,6}}=>{{1,2},{3},{4},{5},{6,7}}=>2
[1,3,4,6,2,5,7]=>[5,2,3,6,4,7,1]=>{{1,5},{2},{3},{4,6,7}}=>{{1,5,7},{2,6},{3},{4}}=>7
[1,3,4,6,2,7,5]=>[5,2,3,7,4,6,1]=>{{1,5},{2},{3},{4,7},{6}}=>{{1,5},{2,6},{3},{4},{7}}=>5
[1,3,4,6,5,2,7]=>[6,2,3,5,4,7,1]=>{{1,6,7},{2},{3},{4,5}}=>{{1,2,7},{3},{4},{5,6}}=>7
[1,3,4,6,5,7,2]=>[7,2,3,5,4,6,1]=>{{1,7},{2},{3},{4,5},{6}}=>{{1,2},{3},{4},{5,6},{7}}=>2
[1,3,4,6,7,2,5]=>[6,2,3,7,4,5,1]=>{{1,6},{2},{3},{4,7},{5}}=>{{1,5},{2,7},{3},{4},{6}}=>5
[1,3,4,6,7,5,2]=>[7,2,3,6,4,5,1]=>{{1,7},{2},{3},{4,6},{5}}=>{{1,2},{3},{4},{5,7},{6}}=>2
[1,3,4,7,2,5,6]=>[5,2,3,6,7,4,1]=>{{1,5,7},{2},{3},{4,6}}=>{{1,2,6},{3},{4},{5,7}}=>6
[1,3,4,7,2,6,5]=>[5,2,3,7,6,4,1]=>{{1,5,6},{2},{3},{4,7}}=>{{1,5},{2,6,7},{3},{4}}=>5
[1,3,4,7,5,2,6]=>[6,2,3,5,7,4,1]=>{{1,6},{2},{3},{4,5,7}}=>{{1,5,6},{2,7},{3},{4}}=>6
[1,3,4,7,5,6,2]=>[7,2,3,5,6,4,1]=>{{1,7},{2},{3},{4,5,6}}=>{{1,2},{3},{4},{5,6,7}}=>2
[1,3,4,7,6,2,5]=>[6,2,3,7,5,4,1]=>{{1,6},{2},{3},{4,7},{5}}=>{{1,5},{2,7},{3},{4},{6}}=>5
[1,3,4,7,6,5,2]=>[7,2,3,6,5,4,1]=>{{1,7},{2},{3},{4,6},{5}}=>{{1,2},{3},{4},{5,7},{6}}=>2
[1,3,5,2,4,6,7]=>[4,2,5,3,6,7,1]=>{{1,4},{2},{3,5,6,7}}=>{{1,4,6,7},{2,5},{3}}=>7
[1,3,5,2,4,7,6]=>[4,2,5,3,7,6,1]=>{{1,4},{2},{3,5,7},{6}}=>{{1,4,6},{2,5},{3},{7}}=>6
[1,3,5,2,6,4,7]=>[4,2,6,3,5,7,1]=>{{1,4},{2},{3,6,7},{5}}=>{{1,4,7},{2,5},{3},{6}}=>7
[1,3,5,2,6,7,4]=>[4,2,7,3,5,6,1]=>{{1,4},{2},{3,7},{5},{6}}=>{{1,4},{2,5},{3},{6},{7}}=>4
[1,3,5,2,7,4,6]=>[4,2,6,3,7,5,1]=>{{1,4},{2},{3,6},{5,7}}=>{{1,6},{2,5},{3},{4,7}}=>6
[1,3,5,2,7,6,4]=>[4,2,7,3,6,5,1]=>{{1,4},{2},{3,7},{5,6}}=>{{1,4},{2,5},{3},{6,7}}=>4
[1,3,5,4,2,6,7]=>[5,2,4,3,6,7,1]=>{{1,5,6,7},{2},{3,4}}=>{{1,2,6,7},{3},{4,5}}=>7
[1,3,5,4,2,7,6]=>[5,2,4,3,7,6,1]=>{{1,5,7},{2},{3,4},{6}}=>{{1,2,6},{3},{4,5},{7}}=>6
[1,3,5,4,6,2,7]=>[6,2,4,3,5,7,1]=>{{1,6,7},{2},{3,4},{5}}=>{{1,2,7},{3},{4,5},{6}}=>7
[1,3,5,4,6,7,2]=>[7,2,4,3,5,6,1]=>{{1,7},{2},{3,4},{5},{6}}=>{{1,2},{3},{4,5},{6},{7}}=>2
[1,3,5,4,7,2,6]=>[6,2,4,3,7,5,1]=>{{1,6},{2},{3,4},{5,7}}=>{{1,6},{2,7},{3},{4,5}}=>6
[1,3,5,4,7,6,2]=>[7,2,4,3,6,5,1]=>{{1,7},{2},{3,4},{5,6}}=>{{1,2},{3},{4,5},{6,7}}=>2
[1,3,5,6,2,4,7]=>[5,2,6,3,4,7,1]=>{{1,5},{2},{3,6,7},{4}}=>{{1,4,7},{2,6},{3},{5}}=>7
[1,3,5,6,2,7,4]=>[5,2,7,3,4,6,1]=>{{1,5},{2},{3,7},{4},{6}}=>{{1,4},{2,6},{3},{5},{7}}=>4
[1,3,5,6,4,2,7]=>[6,2,5,3,4,7,1]=>{{1,6,7},{2},{3,5},{4}}=>{{1,2,7},{3},{4,6},{5}}=>7
[1,3,5,6,4,7,2]=>[7,2,5,3,4,6,1]=>{{1,7},{2},{3,5},{4},{6}}=>{{1,2},{3},{4,6},{5},{7}}=>2
[1,3,5,6,7,2,4]=>[6,2,7,3,4,5,1]=>{{1,6},{2},{3,7},{4},{5}}=>{{1,4},{2,7},{3},{5},{6}}=>4
[1,3,5,6,7,4,2]=>[7,2,6,3,4,5,1]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,2},{3},{4,7},{5},{6}}=>2
[1,3,5,7,2,4,6]=>[5,2,6,3,7,4,1]=>{{1,5,7},{2},{3,6},{4}}=>{{1,2,6},{3},{4,7},{5}}=>6
[1,3,5,7,2,6,4]=>[5,2,7,3,6,4,1]=>{{1,5,6},{2},{3,7},{4}}=>{{1,4},{2,6,7},{3},{5}}=>4
[1,3,5,7,4,2,6]=>[6,2,5,3,7,4,1]=>{{1,6},{2},{3,5,7},{4}}=>{{1,4,6},{2,7},{3},{5}}=>6
[1,3,5,7,4,6,2]=>[7,2,5,3,6,4,1]=>{{1,7},{2},{3,5,6},{4}}=>{{1,2},{3},{4,6,7},{5}}=>2
[1,3,5,7,6,2,4]=>[6,2,7,3,5,4,1]=>{{1,6},{2},{3,7},{4},{5}}=>{{1,4},{2,7},{3},{5},{6}}=>4
[1,3,5,7,6,4,2]=>[7,2,6,3,5,4,1]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,2},{3},{4,7},{5},{6}}=>2
[1,3,6,2,4,5,7]=>[4,2,5,6,3,7,1]=>{{1,4,6,7},{2},{3,5}}=>{{1,2,5,7},{3},{4,6}}=>7
[1,3,6,2,4,7,5]=>[4,2,5,7,3,6,1]=>{{1,4,7},{2},{3,5},{6}}=>{{1,2,5},{3},{4,6},{7}}=>5
[1,3,6,2,5,4,7]=>[4,2,6,5,3,7,1]=>{{1,4,5},{2},{3,6,7}}=>{{1,4,7},{2,5,6},{3}}=>7
[1,3,6,2,5,7,4]=>[4,2,7,5,3,6,1]=>{{1,4,5},{2},{3,7},{6}}=>{{1,4},{2,5,6},{3},{7}}=>4
[1,3,6,2,7,4,5]=>[4,2,6,7,3,5,1]=>{{1,4,7},{2},{3,6},{5}}=>{{1,2,5},{3},{4,7},{6}}=>5
[1,3,6,2,7,5,4]=>[4,2,7,6,3,5,1]=>{{1,4,6},{2},{3,7},{5}}=>{{1,4},{2,5,7},{3},{6}}=>4
[1,3,6,4,2,5,7]=>[5,2,4,6,3,7,1]=>{{1,5},{2},{3,4,6,7}}=>{{1,4,5,7},{2,6},{3}}=>7
[1,3,6,4,2,7,5]=>[5,2,4,7,3,6,1]=>{{1,5},{2},{3,4,7},{6}}=>{{1,4,5},{2,6},{3},{7}}=>5
[1,3,6,4,5,2,7]=>[6,2,4,5,3,7,1]=>{{1,6,7},{2},{3,4,5}}=>{{1,2,7},{3},{4,5,6}}=>7
[1,3,6,4,5,7,2]=>[7,2,4,5,3,6,1]=>{{1,7},{2},{3,4,5},{6}}=>{{1,2},{3},{4,5,6},{7}}=>2
[1,3,6,4,7,2,5]=>[6,2,4,7,3,5,1]=>{{1,6},{2},{3,4,7},{5}}=>{{1,4,5},{2,7},{3},{6}}=>5
[1,3,6,4,7,5,2]=>[7,2,4,6,3,5,1]=>{{1,7},{2},{3,4,6},{5}}=>{{1,2},{3},{4,5,7},{6}}=>2
[1,3,6,5,2,4,7]=>[5,2,6,4,3,7,1]=>{{1,5},{2},{3,6,7},{4}}=>{{1,4,7},{2,6},{3},{5}}=>7
[1,3,6,5,2,7,4]=>[5,2,7,4,3,6,1]=>{{1,5},{2},{3,7},{4},{6}}=>{{1,4},{2,6},{3},{5},{7}}=>4
[1,3,6,5,4,2,7]=>[6,2,5,4,3,7,1]=>{{1,6,7},{2},{3,5},{4}}=>{{1,2,7},{3},{4,6},{5}}=>7
[1,3,6,5,4,7,2]=>[7,2,5,4,3,6,1]=>{{1,7},{2},{3,5},{4},{6}}=>{{1,2},{3},{4,6},{5},{7}}=>2
[1,3,6,5,7,2,4]=>[6,2,7,4,3,5,1]=>{{1,6},{2},{3,7},{4},{5}}=>{{1,4},{2,7},{3},{5},{6}}=>4
[1,3,6,5,7,4,2]=>[7,2,6,4,3,5,1]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,2},{3},{4,7},{5},{6}}=>2
[1,3,6,7,2,4,5]=>[5,2,6,7,3,4,1]=>{{1,5},{2},{3,6},{4,7}}=>{{1,5},{2,6},{3},{4,7}}=>5
[1,3,6,7,2,5,4]=>[5,2,7,6,3,4,1]=>{{1,5},{2},{3,7},{4,6}}=>{{1,4},{2,6},{3},{5,7}}=>4
[1,3,6,7,4,2,5]=>[6,2,5,7,3,4,1]=>{{1,6},{2},{3,5},{4,7}}=>{{1,5},{2,7},{3},{4,6}}=>5
[1,3,6,7,4,5,2]=>[7,2,5,6,3,4,1]=>{{1,7},{2},{3,5},{4,6}}=>{{1,2},{3},{4,6},{5,7}}=>2
[1,3,6,7,5,2,4]=>[6,2,7,5,3,4,1]=>{{1,6},{2},{3,7},{4,5}}=>{{1,4},{2,7},{3},{5,6}}=>4
[1,3,6,7,5,4,2]=>[7,2,6,5,3,4,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,2},{3},{4,7},{5,6}}=>2
[1,3,7,2,4,5,6]=>[4,2,5,6,7,3,1]=>{{1,4,6},{2},{3,5,7}}=>{{1,4,6},{2,5,7},{3}}=>6
[1,3,7,2,4,6,5]=>[4,2,5,7,6,3,1]=>{{1,4,7},{2},{3,5,6}}=>{{1,2,5},{3},{4,6,7}}=>5
[1,3,7,2,5,4,6]=>[4,2,6,5,7,3,1]=>{{1,4,5,7},{2},{3,6}}=>{{1,2,5,6},{3},{4,7}}=>6
[1,3,7,2,5,6,4]=>[4,2,7,5,6,3,1]=>{{1,4,5,6},{2},{3,7}}=>{{1,4},{2,5,6,7},{3}}=>4
[1,3,7,2,6,4,5]=>[4,2,6,7,5,3,1]=>{{1,4,7},{2},{3,6},{5}}=>{{1,2,5},{3},{4,7},{6}}=>5
[1,3,7,2,6,5,4]=>[4,2,7,6,5,3,1]=>{{1,4,6},{2},{3,7},{5}}=>{{1,4},{2,5,7},{3},{6}}=>4
[1,3,7,4,2,5,6]=>[5,2,4,6,7,3,1]=>{{1,5,7},{2},{3,4,6}}=>{{1,2,6},{3},{4,5,7}}=>6
[1,3,7,4,2,6,5]=>[5,2,4,7,6,3,1]=>{{1,5,6},{2},{3,4,7}}=>{{1,4,5},{2,6,7},{3}}=>5
[1,3,7,4,5,2,6]=>[6,2,4,5,7,3,1]=>{{1,6},{2},{3,4,5,7}}=>{{1,4,5,6},{2,7},{3}}=>6
[1,3,7,4,5,6,2]=>[7,2,4,5,6,3,1]=>{{1,7},{2},{3,4,5,6}}=>{{1,2},{3},{4,5,6,7}}=>2
[1,3,7,4,6,2,5]=>[6,2,4,7,5,3,1]=>{{1,6},{2},{3,4,7},{5}}=>{{1,4,5},{2,7},{3},{6}}=>5
[1,3,7,4,6,5,2]=>[7,2,4,6,5,3,1]=>{{1,7},{2},{3,4,6},{5}}=>{{1,2},{3},{4,5,7},{6}}=>2
[1,3,7,5,2,4,6]=>[5,2,6,4,7,3,1]=>{{1,5,7},{2},{3,6},{4}}=>{{1,2,6},{3},{4,7},{5}}=>6
[1,3,7,5,2,6,4]=>[5,2,7,4,6,3,1]=>{{1,5,6},{2},{3,7},{4}}=>{{1,4},{2,6,7},{3},{5}}=>4
[1,3,7,5,4,2,6]=>[6,2,5,4,7,3,1]=>{{1,6},{2},{3,5,7},{4}}=>{{1,4,6},{2,7},{3},{5}}=>6
[1,3,7,5,4,6,2]=>[7,2,5,4,6,3,1]=>{{1,7},{2},{3,5,6},{4}}=>{{1,2},{3},{4,6,7},{5}}=>2
[1,3,7,5,6,2,4]=>[6,2,7,4,5,3,1]=>{{1,6},{2},{3,7},{4},{5}}=>{{1,4},{2,7},{3},{5},{6}}=>4
[1,3,7,5,6,4,2]=>[7,2,6,4,5,3,1]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,2},{3},{4,7},{5},{6}}=>2
[1,3,7,6,2,4,5]=>[5,2,6,7,4,3,1]=>{{1,5},{2},{3,6},{4,7}}=>{{1,5},{2,6},{3},{4,7}}=>5
[1,3,7,6,2,5,4]=>[5,2,7,6,4,3,1]=>{{1,5},{2},{3,7},{4,6}}=>{{1,4},{2,6},{3},{5,7}}=>4
[1,3,7,6,4,2,5]=>[6,2,5,7,4,3,1]=>{{1,6},{2},{3,5},{4,7}}=>{{1,5},{2,7},{3},{4,6}}=>5
[1,3,7,6,4,5,2]=>[7,2,5,6,4,3,1]=>{{1,7},{2},{3,5},{4,6}}=>{{1,2},{3},{4,6},{5,7}}=>2
[1,3,7,6,5,2,4]=>[6,2,7,5,4,3,1]=>{{1,6},{2},{3,7},{4,5}}=>{{1,4},{2,7},{3},{5,6}}=>4
[1,3,7,6,5,4,2]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>{{1,2},{3},{4,7},{5,6}}=>2
[1,4,2,3,5,6,7]=>[3,4,2,5,6,7,1]=>{{1,3},{2,4,5,6,7}}=>{{1,3,5,6,7},{2,4}}=>7
[1,4,2,3,5,7,6]=>[3,4,2,5,7,6,1]=>{{1,3},{2,4,5,7},{6}}=>{{1,3,5,6},{2,4},{7}}=>6
[1,4,2,3,6,5,7]=>[3,4,2,6,5,7,1]=>{{1,3},{2,4,6,7},{5}}=>{{1,3,5,7},{2,4},{6}}=>7
[1,4,2,3,6,7,5]=>[3,4,2,7,5,6,1]=>{{1,3},{2,4,7},{5},{6}}=>{{1,3,5},{2,4},{6},{7}}=>5
[1,4,2,3,7,5,6]=>[3,4,2,6,7,5,1]=>{{1,3},{2,4,6},{5,7}}=>{{1,6},{2,4},{3,5,7}}=>6
[1,4,2,3,7,6,5]=>[3,4,2,7,6,5,1]=>{{1,3},{2,4,7},{5,6}}=>{{1,3,5},{2,4},{6,7}}=>5
[1,4,2,5,3,6,7]=>[3,5,2,4,6,7,1]=>{{1,3},{2,5,6,7},{4}}=>{{1,3,6,7},{2,4},{5}}=>7
[1,4,2,5,3,7,6]=>[3,5,2,4,7,6,1]=>{{1,3},{2,5,7},{4},{6}}=>{{1,3,6},{2,4},{5},{7}}=>6
[1,4,2,5,6,3,7]=>[3,6,2,4,5,7,1]=>{{1,3},{2,6,7},{4},{5}}=>{{1,3,7},{2,4},{5},{6}}=>7
[1,4,2,5,6,7,3]=>[3,7,2,4,5,6,1]=>{{1,3},{2,7},{4},{5},{6}}=>{{1,3},{2,4},{5},{6},{7}}=>3
[1,4,2,5,7,3,6]=>[3,6,2,4,7,5,1]=>{{1,3},{2,6},{4},{5,7}}=>{{1,6},{2,4},{3,7},{5}}=>6
[1,4,2,5,7,6,3]=>[3,7,2,4,6,5,1]=>{{1,3},{2,7},{4},{5,6}}=>{{1,3},{2,4},{5},{6,7}}=>3
[1,4,2,6,3,5,7]=>[3,5,2,6,4,7,1]=>{{1,3},{2,5},{4,6,7}}=>{{1,5,7},{2,4},{3,6}}=>7
[1,4,2,6,3,7,5]=>[3,5,2,7,4,6,1]=>{{1,3},{2,5},{4,7},{6}}=>{{1,5},{2,4},{3,6},{7}}=>5
[1,4,2,6,5,3,7]=>[3,6,2,5,4,7,1]=>{{1,3},{2,6,7},{4,5}}=>{{1,3,7},{2,4},{5,6}}=>7
[1,4,2,6,5,7,3]=>[3,7,2,5,4,6,1]=>{{1,3},{2,7},{4,5},{6}}=>{{1,3},{2,4},{5,6},{7}}=>3
[1,4,2,6,7,3,5]=>[3,6,2,7,4,5,1]=>{{1,3},{2,6},{4,7},{5}}=>{{1,5},{2,4},{3,7},{6}}=>5
[1,4,2,6,7,5,3]=>[3,7,2,6,4,5,1]=>{{1,3},{2,7},{4,6},{5}}=>{{1,3},{2,4},{5,7},{6}}=>3
[1,4,2,7,3,5,6]=>[3,5,2,6,7,4,1]=>{{1,3},{2,5,7},{4,6}}=>{{1,3,6},{2,4},{5,7}}=>6
[1,4,2,7,3,6,5]=>[3,5,2,7,6,4,1]=>{{1,3},{2,5,6},{4,7}}=>{{1,5},{2,4},{3,6,7}}=>5
[1,4,2,7,5,3,6]=>[3,6,2,5,7,4,1]=>{{1,3},{2,6},{4,5,7}}=>{{1,5,6},{2,4},{3,7}}=>6
[1,4,2,7,5,6,3]=>[3,7,2,5,6,4,1]=>{{1,3},{2,7},{4,5,6}}=>{{1,3},{2,4},{5,6,7}}=>3
[1,4,2,7,6,3,5]=>[3,6,2,7,5,4,1]=>{{1,3},{2,6},{4,7},{5}}=>{{1,5},{2,4},{3,7},{6}}=>5
[1,4,2,7,6,5,3]=>[3,7,2,6,5,4,1]=>{{1,3},{2,7},{4,6},{5}}=>{{1,3},{2,4},{5,7},{6}}=>3
[1,4,3,2,5,6,7]=>[4,3,2,5,6,7,1]=>{{1,4,5,6,7},{2,3}}=>{{1,2,5,6,7},{3,4}}=>7
[1,4,3,2,5,7,6]=>[4,3,2,5,7,6,1]=>{{1,4,5,7},{2,3},{6}}=>{{1,2,5,6},{3,4},{7}}=>6
[1,4,3,2,6,5,7]=>[4,3,2,6,5,7,1]=>{{1,4,6,7},{2,3},{5}}=>{{1,2,5,7},{3,4},{6}}=>7
[1,4,3,2,6,7,5]=>[4,3,2,7,5,6,1]=>{{1,4,7},{2,3},{5},{6}}=>{{1,2,5},{3,4},{6},{7}}=>5
[1,4,3,2,7,5,6]=>[4,3,2,6,7,5,1]=>{{1,4,6},{2,3},{5,7}}=>{{1,6},{2,5,7},{3,4}}=>6
[1,4,3,2,7,6,5]=>[4,3,2,7,6,5,1]=>{{1,4,7},{2,3},{5,6}}=>{{1,2,5},{3,4},{6,7}}=>5
[1,4,3,5,2,6,7]=>[5,3,2,4,6,7,1]=>{{1,5,6,7},{2,3},{4}}=>{{1,2,6,7},{3,4},{5}}=>7
[1,4,3,5,2,7,6]=>[5,3,2,4,7,6,1]=>{{1,5,7},{2,3},{4},{6}}=>{{1,2,6},{3,4},{5},{7}}=>6
[1,4,3,5,6,2,7]=>[6,3,2,4,5,7,1]=>{{1,6,7},{2,3},{4},{5}}=>{{1,2,7},{3,4},{5},{6}}=>7
[1,4,3,5,6,7,2]=>[7,3,2,4,5,6,1]=>{{1,7},{2,3},{4},{5},{6}}=>{{1,2},{3,4},{5},{6},{7}}=>2
[1,4,3,5,7,2,6]=>[6,3,2,4,7,5,1]=>{{1,6},{2,3},{4},{5,7}}=>{{1,6},{2,7},{3,4},{5}}=>6
[1,4,3,5,7,6,2]=>[7,3,2,4,6,5,1]=>{{1,7},{2,3},{4},{5,6}}=>{{1,2},{3,4},{5},{6,7}}=>2
[1,4,3,6,2,5,7]=>[5,3,2,6,4,7,1]=>{{1,5},{2,3},{4,6,7}}=>{{1,5,7},{2,6},{3,4}}=>7
[1,4,3,6,2,7,5]=>[5,3,2,7,4,6,1]=>{{1,5},{2,3},{4,7},{6}}=>{{1,5},{2,6},{3,4},{7}}=>5
[1,4,3,6,5,2,7]=>[6,3,2,5,4,7,1]=>{{1,6,7},{2,3},{4,5}}=>{{1,2,7},{3,4},{5,6}}=>7
[1,4,3,6,5,7,2]=>[7,3,2,5,4,6,1]=>{{1,7},{2,3},{4,5},{6}}=>{{1,2},{3,4},{5,6},{7}}=>2
[1,4,3,6,7,2,5]=>[6,3,2,7,4,5,1]=>{{1,6},{2,3},{4,7},{5}}=>{{1,5},{2,7},{3,4},{6}}=>5
[1,4,3,6,7,5,2]=>[7,3,2,6,4,5,1]=>{{1,7},{2,3},{4,6},{5}}=>{{1,2},{3,4},{5,7},{6}}=>2
[1,4,3,7,2,5,6]=>[5,3,2,6,7,4,1]=>{{1,5,7},{2,3},{4,6}}=>{{1,2,6},{3,4},{5,7}}=>6
[1,4,3,7,2,6,5]=>[5,3,2,7,6,4,1]=>{{1,5,6},{2,3},{4,7}}=>{{1,5},{2,6,7},{3,4}}=>5
[1,4,3,7,5,2,6]=>[6,3,2,5,7,4,1]=>{{1,6},{2,3},{4,5,7}}=>{{1,5,6},{2,7},{3,4}}=>6
[1,4,3,7,5,6,2]=>[7,3,2,5,6,4,1]=>{{1,7},{2,3},{4,5,6}}=>{{1,2},{3,4},{5,6,7}}=>2
[1,4,3,7,6,2,5]=>[6,3,2,7,5,4,1]=>{{1,6},{2,3},{4,7},{5}}=>{{1,5},{2,7},{3,4},{6}}=>5
[1,4,3,7,6,5,2]=>[7,3,2,6,5,4,1]=>{{1,7},{2,3},{4,6},{5}}=>{{1,2},{3,4},{5,7},{6}}=>2
[1,4,5,2,3,6,7]=>[4,5,2,3,6,7,1]=>{{1,4},{2,5,6,7},{3}}=>{{1,3,6,7},{2,5},{4}}=>7
[1,4,5,2,3,7,6]=>[4,5,2,3,7,6,1]=>{{1,4},{2,5,7},{3},{6}}=>{{1,3,6},{2,5},{4},{7}}=>6
[1,4,5,2,6,3,7]=>[4,6,2,3,5,7,1]=>{{1,4},{2,6,7},{3},{5}}=>{{1,3,7},{2,5},{4},{6}}=>7
[1,4,5,2,6,7,3]=>[4,7,2,3,5,6,1]=>{{1,4},{2,7},{3},{5},{6}}=>{{1,3},{2,5},{4},{6},{7}}=>3
[1,4,5,2,7,3,6]=>[4,6,2,3,7,5,1]=>{{1,4},{2,6},{3},{5,7}}=>{{1,6},{2,5},{3,7},{4}}=>6
[1,4,5,2,7,6,3]=>[4,7,2,3,6,5,1]=>{{1,4},{2,7},{3},{5,6}}=>{{1,3},{2,5},{4},{6,7}}=>3
[1,4,5,3,2,6,7]=>[5,4,2,3,6,7,1]=>{{1,5,6,7},{2,4},{3}}=>{{1,2,6,7},{3,5},{4}}=>7
[1,4,5,3,2,7,6]=>[5,4,2,3,7,6,1]=>{{1,5,7},{2,4},{3},{6}}=>{{1,2,6},{3,5},{4},{7}}=>6
[1,4,5,3,6,2,7]=>[6,4,2,3,5,7,1]=>{{1,6,7},{2,4},{3},{5}}=>{{1,2,7},{3,5},{4},{6}}=>7
[1,4,5,3,6,7,2]=>[7,4,2,3,5,6,1]=>{{1,7},{2,4},{3},{5},{6}}=>{{1,2},{3,5},{4},{6},{7}}=>2
[1,4,5,3,7,2,6]=>[6,4,2,3,7,5,1]=>{{1,6},{2,4},{3},{5,7}}=>{{1,6},{2,7},{3,5},{4}}=>6
[1,4,5,3,7,6,2]=>[7,4,2,3,6,5,1]=>{{1,7},{2,4},{3},{5,6}}=>{{1,2},{3,5},{4},{6,7}}=>2
[1,4,5,6,2,3,7]=>[5,6,2,3,4,7,1]=>{{1,5},{2,6,7},{3},{4}}=>{{1,3,7},{2,6},{4},{5}}=>7
[1,4,5,6,2,7,3]=>[5,7,2,3,4,6,1]=>{{1,5},{2,7},{3},{4},{6}}=>{{1,3},{2,6},{4},{5},{7}}=>3
[1,4,5,6,3,2,7]=>[6,5,2,3,4,7,1]=>{{1,6,7},{2,5},{3},{4}}=>{{1,2,7},{3,6},{4},{5}}=>7
[1,4,5,6,3,7,2]=>[7,5,2,3,4,6,1]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,2},{3,6},{4},{5},{7}}=>2
[1,4,5,6,7,2,3]=>[6,7,2,3,4,5,1]=>{{1,6},{2,7},{3},{4},{5}}=>{{1,3},{2,7},{4},{5},{6}}=>3
[1,4,5,6,7,3,2]=>[7,6,2,3,4,5,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,2},{3,7},{4},{5},{6}}=>2
[1,4,5,7,2,3,6]=>[5,6,2,3,7,4,1]=>{{1,5,7},{2,6},{3},{4}}=>{{1,2,6},{3,7},{4},{5}}=>6
[1,4,5,7,2,6,3]=>[5,7,2,3,6,4,1]=>{{1,5,6},{2,7},{3},{4}}=>{{1,3},{2,6,7},{4},{5}}=>3
[1,4,5,7,3,2,6]=>[6,5,2,3,7,4,1]=>{{1,6},{2,5,7},{3},{4}}=>{{1,3,6},{2,7},{4},{5}}=>6
[1,4,5,7,3,6,2]=>[7,5,2,3,6,4,1]=>{{1,7},{2,5,6},{3},{4}}=>{{1,2},{3,6,7},{4},{5}}=>2
[1,4,5,7,6,2,3]=>[6,7,2,3,5,4,1]=>{{1,6},{2,7},{3},{4},{5}}=>{{1,3},{2,7},{4},{5},{6}}=>3
[1,4,5,7,6,3,2]=>[7,6,2,3,5,4,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,2},{3,7},{4},{5},{6}}=>2
[1,4,6,2,3,5,7]=>[4,5,2,6,3,7,1]=>{{1,4,6,7},{2,5},{3}}=>{{1,2,5,7},{3,6},{4}}=>7
[1,4,6,2,3,7,5]=>[4,5,2,7,3,6,1]=>{{1,4,7},{2,5},{3},{6}}=>{{1,2,5},{3,6},{4},{7}}=>5
[1,4,6,2,5,3,7]=>[4,6,2,5,3,7,1]=>{{1,4,5},{2,6,7},{3}}=>{{1,3,7},{2,5,6},{4}}=>7
[1,4,6,2,5,7,3]=>[4,7,2,5,3,6,1]=>{{1,4,5},{2,7},{3},{6}}=>{{1,3},{2,5,6},{4},{7}}=>3
[1,4,6,2,7,3,5]=>[4,6,2,7,3,5,1]=>{{1,4,7},{2,6},{3},{5}}=>{{1,2,5},{3,7},{4},{6}}=>5
[1,4,6,2,7,5,3]=>[4,7,2,6,3,5,1]=>{{1,4,6},{2,7},{3},{5}}=>{{1,3},{2,5,7},{4},{6}}=>3
[1,4,6,3,2,5,7]=>[5,4,2,6,3,7,1]=>{{1,5},{2,4,6,7},{3}}=>{{1,3,5,7},{2,6},{4}}=>7
[1,4,6,3,2,7,5]=>[5,4,2,7,3,6,1]=>{{1,5},{2,4,7},{3},{6}}=>{{1,3,5},{2,6},{4},{7}}=>5
[1,4,6,3,5,2,7]=>[6,4,2,5,3,7,1]=>{{1,6,7},{2,4,5},{3}}=>{{1,2,7},{3,5,6},{4}}=>7
[1,4,6,3,5,7,2]=>[7,4,2,5,3,6,1]=>{{1,7},{2,4,5},{3},{6}}=>{{1,2},{3,5,6},{4},{7}}=>2
[1,4,6,3,7,2,5]=>[6,4,2,7,3,5,1]=>{{1,6},{2,4,7},{3},{5}}=>{{1,3,5},{2,7},{4},{6}}=>5
[1,4,6,3,7,5,2]=>[7,4,2,6,3,5,1]=>{{1,7},{2,4,6},{3},{5}}=>{{1,2},{3,5,7},{4},{6}}=>2
[1,4,6,5,2,3,7]=>[5,6,2,4,3,7,1]=>{{1,5},{2,6,7},{3},{4}}=>{{1,3,7},{2,6},{4},{5}}=>7
[1,4,6,5,2,7,3]=>[5,7,2,4,3,6,1]=>{{1,5},{2,7},{3},{4},{6}}=>{{1,3},{2,6},{4},{5},{7}}=>3
[1,4,6,5,3,2,7]=>[6,5,2,4,3,7,1]=>{{1,6,7},{2,5},{3},{4}}=>{{1,2,7},{3,6},{4},{5}}=>7
[1,4,6,5,3,7,2]=>[7,5,2,4,3,6,1]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,2},{3,6},{4},{5},{7}}=>2
[1,4,6,5,7,2,3]=>[6,7,2,4,3,5,1]=>{{1,6},{2,7},{3},{4},{5}}=>{{1,3},{2,7},{4},{5},{6}}=>3
[1,4,6,5,7,3,2]=>[7,6,2,4,3,5,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,2},{3,7},{4},{5},{6}}=>2
[1,4,6,7,2,3,5]=>[5,6,2,7,3,4,1]=>{{1,5},{2,6},{3},{4,7}}=>{{1,5},{2,6},{3,7},{4}}=>5
[1,4,6,7,2,5,3]=>[5,7,2,6,3,4,1]=>{{1,5},{2,7},{3},{4,6}}=>{{1,3},{2,6},{4},{5,7}}=>3
[1,4,6,7,3,2,5]=>[6,5,2,7,3,4,1]=>{{1,6},{2,5},{3},{4,7}}=>{{1,5},{2,7},{3,6},{4}}=>5
[1,4,6,7,3,5,2]=>[7,5,2,6,3,4,1]=>{{1,7},{2,5},{3},{4,6}}=>{{1,2},{3,6},{4},{5,7}}=>2
[1,4,6,7,5,2,3]=>[6,7,2,5,3,4,1]=>{{1,6},{2,7},{3},{4,5}}=>{{1,3},{2,7},{4},{5,6}}=>3
[1,4,6,7,5,3,2]=>[7,6,2,5,3,4,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,2},{3,7},{4},{5,6}}=>2
[1,4,7,2,3,5,6]=>[4,5,2,6,7,3,1]=>{{1,4,6},{2,5,7},{3}}=>{{1,3,6},{2,5,7},{4}}=>6
[1,4,7,2,3,6,5]=>[4,5,2,7,6,3,1]=>{{1,4,7},{2,5,6},{3}}=>{{1,2,5},{3,6,7},{4}}=>5
[1,4,7,2,5,3,6]=>[4,6,2,5,7,3,1]=>{{1,4,5,7},{2,6},{3}}=>{{1,2,5,6},{3,7},{4}}=>6
[1,4,7,2,5,6,3]=>[4,7,2,5,6,3,1]=>{{1,4,5,6},{2,7},{3}}=>{{1,3},{2,5,6,7},{4}}=>3
[1,4,7,2,6,3,5]=>[4,6,2,7,5,3,1]=>{{1,4,7},{2,6},{3},{5}}=>{{1,2,5},{3,7},{4},{6}}=>5
[1,4,7,2,6,5,3]=>[4,7,2,6,5,3,1]=>{{1,4,6},{2,7},{3},{5}}=>{{1,3},{2,5,7},{4},{6}}=>3
[1,4,7,3,2,5,6]=>[5,4,2,6,7,3,1]=>{{1,5,7},{2,4,6},{3}}=>{{1,2,6},{3,5,7},{4}}=>6
[1,4,7,3,2,6,5]=>[5,4,2,7,6,3,1]=>{{1,5,6},{2,4,7},{3}}=>{{1,3,5},{2,6,7},{4}}=>5
[1,4,7,3,5,2,6]=>[6,4,2,5,7,3,1]=>{{1,6},{2,4,5,7},{3}}=>{{1,3,5,6},{2,7},{4}}=>6
[1,4,7,3,5,6,2]=>[7,4,2,5,6,3,1]=>{{1,7},{2,4,5,6},{3}}=>{{1,2},{3,5,6,7},{4}}=>2
[1,4,7,3,6,2,5]=>[6,4,2,7,5,3,1]=>{{1,6},{2,4,7},{3},{5}}=>{{1,3,5},{2,7},{4},{6}}=>5
[1,4,7,3,6,5,2]=>[7,4,2,6,5,3,1]=>{{1,7},{2,4,6},{3},{5}}=>{{1,2},{3,5,7},{4},{6}}=>2
[1,4,7,5,2,3,6]=>[5,6,2,4,7,3,1]=>{{1,5,7},{2,6},{3},{4}}=>{{1,2,6},{3,7},{4},{5}}=>6
[1,4,7,5,2,6,3]=>[5,7,2,4,6,3,1]=>{{1,5,6},{2,7},{3},{4}}=>{{1,3},{2,6,7},{4},{5}}=>3
[1,4,7,5,3,2,6]=>[6,5,2,4,7,3,1]=>{{1,6},{2,5,7},{3},{4}}=>{{1,3,6},{2,7},{4},{5}}=>6
[1,4,7,5,3,6,2]=>[7,5,2,4,6,3,1]=>{{1,7},{2,5,6},{3},{4}}=>{{1,2},{3,6,7},{4},{5}}=>2
[1,4,7,5,6,2,3]=>[6,7,2,4,5,3,1]=>{{1,6},{2,7},{3},{4},{5}}=>{{1,3},{2,7},{4},{5},{6}}=>3
[1,4,7,5,6,3,2]=>[7,6,2,4,5,3,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,2},{3,7},{4},{5},{6}}=>2
[1,4,7,6,2,3,5]=>[5,6,2,7,4,3,1]=>{{1,5},{2,6},{3},{4,7}}=>{{1,5},{2,6},{3,7},{4}}=>5
[1,4,7,6,2,5,3]=>[5,7,2,6,4,3,1]=>{{1,5},{2,7},{3},{4,6}}=>{{1,3},{2,6},{4},{5,7}}=>3
[1,4,7,6,3,2,5]=>[6,5,2,7,4,3,1]=>{{1,6},{2,5},{3},{4,7}}=>{{1,5},{2,7},{3,6},{4}}=>5
[1,4,7,6,3,5,2]=>[7,5,2,6,4,3,1]=>{{1,7},{2,5},{3},{4,6}}=>{{1,2},{3,6},{4},{5,7}}=>2
[1,4,7,6,5,2,3]=>[6,7,2,5,4,3,1]=>{{1,6},{2,7},{3},{4,5}}=>{{1,3},{2,7},{4},{5,6}}=>3
[1,4,7,6,5,3,2]=>[7,6,2,5,4,3,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,2},{3,7},{4},{5,6}}=>2
[1,5,2,3,4,6,7]=>[3,4,5,2,6,7,1]=>{{1,3,5,6,7},{2,4}}=>{{1,2,4,6,7},{3,5}}=>7
[1,5,2,3,4,7,6]=>[3,4,5,2,7,6,1]=>{{1,3,5,7},{2,4},{6}}=>{{1,2,4,6},{3,5},{7}}=>6
[1,5,2,3,6,4,7]=>[3,4,6,2,5,7,1]=>{{1,3,6,7},{2,4},{5}}=>{{1,2,4,7},{3,5},{6}}=>7
[1,5,2,3,6,7,4]=>[3,4,7,2,5,6,1]=>{{1,3,7},{2,4},{5},{6}}=>{{1,2,4},{3,5},{6},{7}}=>4
[1,5,2,3,7,4,6]=>[3,4,6,2,7,5,1]=>{{1,3,6},{2,4},{5,7}}=>{{1,6},{2,4,7},{3,5}}=>6
[1,5,2,3,7,6,4]=>[3,4,7,2,6,5,1]=>{{1,3,7},{2,4},{5,6}}=>{{1,2,4},{3,5},{6,7}}=>4
[1,5,2,4,3,6,7]=>[3,5,4,2,6,7,1]=>{{1,3,4},{2,5,6,7}}=>{{1,3,6,7},{2,4,5}}=>7
[1,5,2,4,3,7,6]=>[3,5,4,2,7,6,1]=>{{1,3,4},{2,5,7},{6}}=>{{1,3,6},{2,4,5},{7}}=>6
[1,5,2,4,6,3,7]=>[3,6,4,2,5,7,1]=>{{1,3,4},{2,6,7},{5}}=>{{1,3,7},{2,4,5},{6}}=>7
[1,5,2,4,6,7,3]=>[3,7,4,2,5,6,1]=>{{1,3,4},{2,7},{5},{6}}=>{{1,3},{2,4,5},{6},{7}}=>3
[1,5,2,4,7,3,6]=>[3,6,4,2,7,5,1]=>{{1,3,4},{2,6},{5,7}}=>{{1,6},{2,4,5},{3,7}}=>6
[1,5,2,4,7,6,3]=>[3,7,4,2,6,5,1]=>{{1,3,4},{2,7},{5,6}}=>{{1,3},{2,4,5},{6,7}}=>3
[1,5,2,6,3,4,7]=>[3,5,6,2,4,7,1]=>{{1,3,6,7},{2,5},{4}}=>{{1,2,4,7},{3,6},{5}}=>7
[1,5,2,6,3,7,4]=>[3,5,7,2,4,6,1]=>{{1,3,7},{2,5},{4},{6}}=>{{1,2,4},{3,6},{5},{7}}=>4
[1,5,2,6,4,3,7]=>[3,6,5,2,4,7,1]=>{{1,3,5},{2,6,7},{4}}=>{{1,3,7},{2,4,6},{5}}=>7
[1,5,2,6,4,7,3]=>[3,7,5,2,4,6,1]=>{{1,3,5},{2,7},{4},{6}}=>{{1,3},{2,4,6},{5},{7}}=>3
[1,5,2,6,7,3,4]=>[3,6,7,2,4,5,1]=>{{1,3,7},{2,6},{4},{5}}=>{{1,2,4},{3,7},{5},{6}}=>4
[1,5,2,6,7,4,3]=>[3,7,6,2,4,5,1]=>{{1,3,6},{2,7},{4},{5}}=>{{1,3},{2,4,7},{5},{6}}=>3
[1,5,2,7,3,4,6]=>[3,5,6,2,7,4,1]=>{{1,3,6},{2,5,7},{4}}=>{{1,3,6},{2,4,7},{5}}=>6
[1,5,2,7,3,6,4]=>[3,5,7,2,6,4,1]=>{{1,3,7},{2,5,6},{4}}=>{{1,2,4},{3,6,7},{5}}=>4
[1,5,2,7,4,3,6]=>[3,6,5,2,7,4,1]=>{{1,3,5,7},{2,6},{4}}=>{{1,2,4,6},{3,7},{5}}=>6
[1,5,2,7,4,6,3]=>[3,7,5,2,6,4,1]=>{{1,3,5,6},{2,7},{4}}=>{{1,3},{2,4,6,7},{5}}=>3
[1,5,2,7,6,3,4]=>[3,6,7,2,5,4,1]=>{{1,3,7},{2,6},{4},{5}}=>{{1,2,4},{3,7},{5},{6}}=>4
[1,5,2,7,6,4,3]=>[3,7,6,2,5,4,1]=>{{1,3,6},{2,7},{4},{5}}=>{{1,3},{2,4,7},{5},{6}}=>3
[1,5,3,2,4,6,7]=>[4,3,5,2,6,7,1]=>{{1,4},{2,3,5,6,7}}=>{{1,3,4,6,7},{2,5}}=>7
[1,5,3,2,4,7,6]=>[4,3,5,2,7,6,1]=>{{1,4},{2,3,5,7},{6}}=>{{1,3,4,6},{2,5},{7}}=>6
[1,5,3,2,6,4,7]=>[4,3,6,2,5,7,1]=>{{1,4},{2,3,6,7},{5}}=>{{1,3,4,7},{2,5},{6}}=>7
[1,5,3,2,6,7,4]=>[4,3,7,2,5,6,1]=>{{1,4},{2,3,7},{5},{6}}=>{{1,3,4},{2,5},{6},{7}}=>4
[1,5,3,2,7,4,6]=>[4,3,6,2,7,5,1]=>{{1,4},{2,3,6},{5,7}}=>{{1,6},{2,5},{3,4,7}}=>6
[1,5,3,2,7,6,4]=>[4,3,7,2,6,5,1]=>{{1,4},{2,3,7},{5,6}}=>{{1,3,4},{2,5},{6,7}}=>4
[1,5,3,4,2,6,7]=>[5,3,4,2,6,7,1]=>{{1,5,6,7},{2,3,4}}=>{{1,2,6,7},{3,4,5}}=>7
[1,5,3,4,2,7,6]=>[5,3,4,2,7,6,1]=>{{1,5,7},{2,3,4},{6}}=>{{1,2,6},{3,4,5},{7}}=>6
[1,5,3,4,6,2,7]=>[6,3,4,2,5,7,1]=>{{1,6,7},{2,3,4},{5}}=>{{1,2,7},{3,4,5},{6}}=>7
[1,5,3,4,6,7,2]=>[7,3,4,2,5,6,1]=>{{1,7},{2,3,4},{5},{6}}=>{{1,2},{3,4,5},{6},{7}}=>2
[1,5,3,4,7,2,6]=>[6,3,4,2,7,5,1]=>{{1,6},{2,3,4},{5,7}}=>{{1,6},{2,7},{3,4,5}}=>6
[1,5,3,4,7,6,2]=>[7,3,4,2,6,5,1]=>{{1,7},{2,3,4},{5,6}}=>{{1,2},{3,4,5},{6,7}}=>2
[1,5,3,6,2,4,7]=>[5,3,6,2,4,7,1]=>{{1,5},{2,3,6,7},{4}}=>{{1,3,4,7},{2,6},{5}}=>7
[1,5,3,6,2,7,4]=>[5,3,7,2,4,6,1]=>{{1,5},{2,3,7},{4},{6}}=>{{1,3,4},{2,6},{5},{7}}=>4
[1,5,3,6,4,2,7]=>[6,3,5,2,4,7,1]=>{{1,6,7},{2,3,5},{4}}=>{{1,2,7},{3,4,6},{5}}=>7
[1,5,3,6,4,7,2]=>[7,3,5,2,4,6,1]=>{{1,7},{2,3,5},{4},{6}}=>{{1,2},{3,4,6},{5},{7}}=>2
[1,5,3,6,7,2,4]=>[6,3,7,2,4,5,1]=>{{1,6},{2,3,7},{4},{5}}=>{{1,3,4},{2,7},{5},{6}}=>4
[1,5,3,6,7,4,2]=>[7,3,6,2,4,5,1]=>{{1,7},{2,3,6},{4},{5}}=>{{1,2},{3,4,7},{5},{6}}=>2
[1,5,3,7,2,4,6]=>[5,3,6,2,7,4,1]=>{{1,5,7},{2,3,6},{4}}=>{{1,2,6},{3,4,7},{5}}=>6
[1,5,3,7,2,6,4]=>[5,3,7,2,6,4,1]=>{{1,5,6},{2,3,7},{4}}=>{{1,3,4},{2,6,7},{5}}=>4
[1,5,3,7,4,2,6]=>[6,3,5,2,7,4,1]=>{{1,6},{2,3,5,7},{4}}=>{{1,3,4,6},{2,7},{5}}=>6
[1,5,3,7,4,6,2]=>[7,3,5,2,6,4,1]=>{{1,7},{2,3,5,6},{4}}=>{{1,2},{3,4,6,7},{5}}=>2
[1,5,3,7,6,2,4]=>[6,3,7,2,5,4,1]=>{{1,6},{2,3,7},{4},{5}}=>{{1,3,4},{2,7},{5},{6}}=>4
[1,5,3,7,6,4,2]=>[7,3,6,2,5,4,1]=>{{1,7},{2,3,6},{4},{5}}=>{{1,2},{3,4,7},{5},{6}}=>2
[1,5,4,2,3,6,7]=>[4,5,3,2,6,7,1]=>{{1,4},{2,5,6,7},{3}}=>{{1,3,6,7},{2,5},{4}}=>7
[1,5,4,2,3,7,6]=>[4,5,3,2,7,6,1]=>{{1,4},{2,5,7},{3},{6}}=>{{1,3,6},{2,5},{4},{7}}=>6
[1,5,4,2,6,3,7]=>[4,6,3,2,5,7,1]=>{{1,4},{2,6,7},{3},{5}}=>{{1,3,7},{2,5},{4},{6}}=>7
[1,5,4,2,6,7,3]=>[4,7,3,2,5,6,1]=>{{1,4},{2,7},{3},{5},{6}}=>{{1,3},{2,5},{4},{6},{7}}=>3
[1,5,4,2,7,3,6]=>[4,6,3,2,7,5,1]=>{{1,4},{2,6},{3},{5,7}}=>{{1,6},{2,5},{3,7},{4}}=>6
[1,5,4,2,7,6,3]=>[4,7,3,2,6,5,1]=>{{1,4},{2,7},{3},{5,6}}=>{{1,3},{2,5},{4},{6,7}}=>3
[1,5,4,3,2,6,7]=>[5,4,3,2,6,7,1]=>{{1,5,6,7},{2,4},{3}}=>{{1,2,6,7},{3,5},{4}}=>7
[1,5,4,3,2,7,6]=>[5,4,3,2,7,6,1]=>{{1,5,7},{2,4},{3},{6}}=>{{1,2,6},{3,5},{4},{7}}=>6
[1,5,4,3,6,2,7]=>[6,4,3,2,5,7,1]=>{{1,6,7},{2,4},{3},{5}}=>{{1,2,7},{3,5},{4},{6}}=>7
[1,5,4,3,6,7,2]=>[7,4,3,2,5,6,1]=>{{1,7},{2,4},{3},{5},{6}}=>{{1,2},{3,5},{4},{6},{7}}=>2
[1,5,4,3,7,2,6]=>[6,4,3,2,7,5,1]=>{{1,6},{2,4},{3},{5,7}}=>{{1,6},{2,7},{3,5},{4}}=>6
[1,5,4,3,7,6,2]=>[7,4,3,2,6,5,1]=>{{1,7},{2,4},{3},{5,6}}=>{{1,2},{3,5},{4},{6,7}}=>2
[1,5,4,6,2,3,7]=>[5,6,3,2,4,7,1]=>{{1,5},{2,6,7},{3},{4}}=>{{1,3,7},{2,6},{4},{5}}=>7
[1,5,4,6,2,7,3]=>[5,7,3,2,4,6,1]=>{{1,5},{2,7},{3},{4},{6}}=>{{1,3},{2,6},{4},{5},{7}}=>3
[1,5,4,6,3,2,7]=>[6,5,3,2,4,7,1]=>{{1,6,7},{2,5},{3},{4}}=>{{1,2,7},{3,6},{4},{5}}=>7
[1,5,4,6,3,7,2]=>[7,5,3,2,4,6,1]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,2},{3,6},{4},{5},{7}}=>2
[1,5,4,6,7,2,3]=>[6,7,3,2,4,5,1]=>{{1,6},{2,7},{3},{4},{5}}=>{{1,3},{2,7},{4},{5},{6}}=>3
[1,5,4,6,7,3,2]=>[7,6,3,2,4,5,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,2},{3,7},{4},{5},{6}}=>2
[1,5,4,7,2,3,6]=>[5,6,3,2,7,4,1]=>{{1,5,7},{2,6},{3},{4}}=>{{1,2,6},{3,7},{4},{5}}=>6
[1,5,4,7,2,6,3]=>[5,7,3,2,6,4,1]=>{{1,5,6},{2,7},{3},{4}}=>{{1,3},{2,6,7},{4},{5}}=>3
[1,5,4,7,3,2,6]=>[6,5,3,2,7,4,1]=>{{1,6},{2,5,7},{3},{4}}=>{{1,3,6},{2,7},{4},{5}}=>6
[1,5,4,7,3,6,2]=>[7,5,3,2,6,4,1]=>{{1,7},{2,5,6},{3},{4}}=>{{1,2},{3,6,7},{4},{5}}=>2
[1,5,4,7,6,2,3]=>[6,7,3,2,5,4,1]=>{{1,6},{2,7},{3},{4},{5}}=>{{1,3},{2,7},{4},{5},{6}}=>3
[1,5,4,7,6,3,2]=>[7,6,3,2,5,4,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,2},{3,7},{4},{5},{6}}=>2
[1,5,6,2,3,4,7]=>[4,5,6,2,3,7,1]=>{{1,4},{2,5},{3,6,7}}=>{{1,4,7},{2,5},{3,6}}=>7
[1,5,6,2,3,7,4]=>[4,5,7,2,3,6,1]=>{{1,4},{2,5},{3,7},{6}}=>{{1,4},{2,5},{3,6},{7}}=>4
[1,5,6,2,4,3,7]=>[4,6,5,2,3,7,1]=>{{1,4},{2,6,7},{3,5}}=>{{1,3,7},{2,5},{4,6}}=>7
[1,5,6,2,4,7,3]=>[4,7,5,2,3,6,1]=>{{1,4},{2,7},{3,5},{6}}=>{{1,3},{2,5},{4,6},{7}}=>3
[1,5,6,2,7,3,4]=>[4,6,7,2,3,5,1]=>{{1,4},{2,6},{3,7},{5}}=>{{1,4},{2,5},{3,7},{6}}=>4
[1,5,6,2,7,4,3]=>[4,7,6,2,3,5,1]=>{{1,4},{2,7},{3,6},{5}}=>{{1,3},{2,5},{4,7},{6}}=>3
[1,5,6,3,2,4,7]=>[5,4,6,2,3,7,1]=>{{1,5},{2,4},{3,6,7}}=>{{1,4,7},{2,6},{3,5}}=>7
[1,5,6,3,2,7,4]=>[5,4,7,2,3,6,1]=>{{1,5},{2,4},{3,7},{6}}=>{{1,4},{2,6},{3,5},{7}}=>4
[1,5,6,3,4,2,7]=>[6,4,5,2,3,7,1]=>{{1,6,7},{2,4},{3,5}}=>{{1,2,7},{3,5},{4,6}}=>7
[1,5,6,3,4,7,2]=>[7,4,5,2,3,6,1]=>{{1,7},{2,4},{3,5},{6}}=>{{1,2},{3,5},{4,6},{7}}=>2
[1,5,6,3,7,2,4]=>[6,4,7,2,3,5,1]=>{{1,6},{2,4},{3,7},{5}}=>{{1,4},{2,7},{3,5},{6}}=>4
[1,5,6,3,7,4,2]=>[7,4,6,2,3,5,1]=>{{1,7},{2,4},{3,6},{5}}=>{{1,2},{3,5},{4,7},{6}}=>2
[1,5,6,4,2,3,7]=>[5,6,4,2,3,7,1]=>{{1,5},{2,6,7},{3,4}}=>{{1,3,7},{2,6},{4,5}}=>7
[1,5,6,4,2,7,3]=>[5,7,4,2,3,6,1]=>{{1,5},{2,7},{3,4},{6}}=>{{1,3},{2,6},{4,5},{7}}=>3
[1,5,6,4,3,2,7]=>[6,5,4,2,3,7,1]=>{{1,6,7},{2,5},{3,4}}=>{{1,2,7},{3,6},{4,5}}=>7
[1,5,6,4,3,7,2]=>[7,5,4,2,3,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,2},{3,6},{4,5},{7}}=>2
[1,5,6,4,7,2,3]=>[6,7,4,2,3,5,1]=>{{1,6},{2,7},{3,4},{5}}=>{{1,3},{2,7},{4,5},{6}}=>3
[1,5,6,4,7,3,2]=>[7,6,4,2,3,5,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,2},{3,7},{4,5},{6}}=>2
[1,5,6,7,2,3,4]=>[5,6,7,2,3,4,1]=>{{1,5},{2,6},{3,7},{4}}=>{{1,4},{2,6},{3,7},{5}}=>4
[1,5,6,7,2,4,3]=>[5,7,6,2,3,4,1]=>{{1,5},{2,7},{3,6},{4}}=>{{1,3},{2,6},{4,7},{5}}=>3
[1,5,6,7,3,2,4]=>[6,5,7,2,3,4,1]=>{{1,6},{2,5},{3,7},{4}}=>{{1,4},{2,7},{3,6},{5}}=>4
[1,5,6,7,3,4,2]=>[7,5,6,2,3,4,1]=>{{1,7},{2,5},{3,6},{4}}=>{{1,2},{3,6},{4,7},{5}}=>2
[1,5,6,7,4,2,3]=>[6,7,5,2,3,4,1]=>{{1,6},{2,7},{3,5},{4}}=>{{1,3},{2,7},{4,6},{5}}=>3
[1,5,6,7,4,3,2]=>[7,6,5,2,3,4,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,2},{3,7},{4,6},{5}}=>2
[1,5,7,2,3,4,6]=>[4,5,6,2,7,3,1]=>{{1,4},{2,5,7},{3,6}}=>{{1,3,6},{2,5},{4,7}}=>6
[1,5,7,2,3,6,4]=>[4,5,7,2,6,3,1]=>{{1,4},{2,5,6},{3,7}}=>{{1,4},{2,5},{3,6,7}}=>4
[1,5,7,2,4,3,6]=>[4,6,5,2,7,3,1]=>{{1,4},{2,6},{3,5,7}}=>{{1,4,6},{2,5},{3,7}}=>6
[1,5,7,2,4,6,3]=>[4,7,5,2,6,3,1]=>{{1,4},{2,7},{3,5,6}}=>{{1,3},{2,5},{4,6,7}}=>3
[1,5,7,2,6,3,4]=>[4,6,7,2,5,3,1]=>{{1,4},{2,6},{3,7},{5}}=>{{1,4},{2,5},{3,7},{6}}=>4
[1,5,7,2,6,4,3]=>[4,7,6,2,5,3,1]=>{{1,4},{2,7},{3,6},{5}}=>{{1,3},{2,5},{4,7},{6}}=>3
[1,5,7,3,2,4,6]=>[5,4,6,2,7,3,1]=>{{1,5,7},{2,4},{3,6}}=>{{1,2,6},{3,5},{4,7}}=>6
[1,5,7,3,2,6,4]=>[5,4,7,2,6,3,1]=>{{1,5,6},{2,4},{3,7}}=>{{1,4},{2,6,7},{3,5}}=>4
[1,5,7,3,4,2,6]=>[6,4,5,2,7,3,1]=>{{1,6},{2,4},{3,5,7}}=>{{1,4,6},{2,7},{3,5}}=>6
[1,5,7,3,4,6,2]=>[7,4,5,2,6,3,1]=>{{1,7},{2,4},{3,5,6}}=>{{1,2},{3,5},{4,6,7}}=>2
[1,5,7,3,6,2,4]=>[6,4,7,2,5,3,1]=>{{1,6},{2,4},{3,7},{5}}=>{{1,4},{2,7},{3,5},{6}}=>4
[1,5,7,3,6,4,2]=>[7,4,6,2,5,3,1]=>{{1,7},{2,4},{3,6},{5}}=>{{1,2},{3,5},{4,7},{6}}=>2
[1,5,7,4,2,3,6]=>[5,6,4,2,7,3,1]=>{{1,5,7},{2,6},{3,4}}=>{{1,2,6},{3,7},{4,5}}=>6
[1,5,7,4,2,6,3]=>[5,7,4,2,6,3,1]=>{{1,5,6},{2,7},{3,4}}=>{{1,3},{2,6,7},{4,5}}=>3
[1,5,7,4,3,2,6]=>[6,5,4,2,7,3,1]=>{{1,6},{2,5,7},{3,4}}=>{{1,3,6},{2,7},{4,5}}=>6
[1,5,7,4,3,6,2]=>[7,5,4,2,6,3,1]=>{{1,7},{2,5,6},{3,4}}=>{{1,2},{3,6,7},{4,5}}=>2
[1,5,7,4,6,2,3]=>[6,7,4,2,5,3,1]=>{{1,6},{2,7},{3,4},{5}}=>{{1,3},{2,7},{4,5},{6}}=>3
[1,5,7,4,6,3,2]=>[7,6,4,2,5,3,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,2},{3,7},{4,5},{6}}=>2
[1,5,7,6,2,3,4]=>[5,6,7,2,4,3,1]=>{{1,5},{2,6},{3,7},{4}}=>{{1,4},{2,6},{3,7},{5}}=>4
[1,5,7,6,2,4,3]=>[5,7,6,2,4,3,1]=>{{1,5},{2,7},{3,6},{4}}=>{{1,3},{2,6},{4,7},{5}}=>3
[1,5,7,6,3,2,4]=>[6,5,7,2,4,3,1]=>{{1,6},{2,5},{3,7},{4}}=>{{1,4},{2,7},{3,6},{5}}=>4
[1,5,7,6,3,4,2]=>[7,5,6,2,4,3,1]=>{{1,7},{2,5},{3,6},{4}}=>{{1,2},{3,6},{4,7},{5}}=>2
[1,5,7,6,4,2,3]=>[6,7,5,2,4,3,1]=>{{1,6},{2,7},{3,5},{4}}=>{{1,3},{2,7},{4,6},{5}}=>3
[1,5,7,6,4,3,2]=>[7,6,5,2,4,3,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,2},{3,7},{4,6},{5}}=>2
[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>{{1,3,5},{2,4,6,7}}=>{{1,3,5,7},{2,4,6}}=>7
[1,6,2,3,4,7,5]=>[3,4,5,7,2,6,1]=>{{1,3,5},{2,4,7},{6}}=>{{1,3,5},{2,4,6},{7}}=>5
[1,6,2,3,5,4,7]=>[3,4,6,5,2,7,1]=>{{1,3,6,7},{2,4,5}}=>{{1,2,4,7},{3,5,6}}=>7
[1,6,2,3,5,7,4]=>[3,4,7,5,2,6,1]=>{{1,3,7},{2,4,5},{6}}=>{{1,2,4},{3,5,6},{7}}=>4
[1,6,2,3,7,4,5]=>[3,4,6,7,2,5,1]=>{{1,3,6},{2,4,7},{5}}=>{{1,3,5},{2,4,7},{6}}=>5
[1,6,2,3,7,5,4]=>[3,4,7,6,2,5,1]=>{{1,3,7},{2,4,6},{5}}=>{{1,2,4},{3,5,7},{6}}=>4
[1,6,2,4,3,5,7]=>[3,5,4,6,2,7,1]=>{{1,3,4,6,7},{2,5}}=>{{1,2,4,5,7},{3,6}}=>7
[1,6,2,4,3,7,5]=>[3,5,4,7,2,6,1]=>{{1,3,4,7},{2,5},{6}}=>{{1,2,4,5},{3,6},{7}}=>5
[1,6,2,4,5,3,7]=>[3,6,4,5,2,7,1]=>{{1,3,4,5},{2,6,7}}=>{{1,3,7},{2,4,5,6}}=>7
[1,6,2,4,5,7,3]=>[3,7,4,5,2,6,1]=>{{1,3,4,5},{2,7},{6}}=>{{1,3},{2,4,5,6},{7}}=>3
[1,6,2,4,7,3,5]=>[3,6,4,7,2,5,1]=>{{1,3,4,7},{2,6},{5}}=>{{1,2,4,5},{3,7},{6}}=>5
[1,6,2,4,7,5,3]=>[3,7,4,6,2,5,1]=>{{1,3,4,6},{2,7},{5}}=>{{1,3},{2,4,5,7},{6}}=>3
[1,6,2,5,3,4,7]=>[3,5,6,4,2,7,1]=>{{1,3,6,7},{2,5},{4}}=>{{1,2,4,7},{3,6},{5}}=>7
[1,6,2,5,3,7,4]=>[3,5,7,4,2,6,1]=>{{1,3,7},{2,5},{4},{6}}=>{{1,2,4},{3,6},{5},{7}}=>4
[1,6,2,5,4,3,7]=>[3,6,5,4,2,7,1]=>{{1,3,5},{2,6,7},{4}}=>{{1,3,7},{2,4,6},{5}}=>7
[1,6,2,5,4,7,3]=>[3,7,5,4,2,6,1]=>{{1,3,5},{2,7},{4},{6}}=>{{1,3},{2,4,6},{5},{7}}=>3
[1,6,2,5,7,3,4]=>[3,6,7,4,2,5,1]=>{{1,3,7},{2,6},{4},{5}}=>{{1,2,4},{3,7},{5},{6}}=>4
[1,6,2,5,7,4,3]=>[3,7,6,4,2,5,1]=>{{1,3,6},{2,7},{4},{5}}=>{{1,3},{2,4,7},{5},{6}}=>3
[1,6,2,7,3,4,5]=>[3,5,6,7,2,4,1]=>{{1,3,6},{2,5},{4,7}}=>{{1,5},{2,4,7},{3,6}}=>5
[1,6,2,7,3,5,4]=>[3,5,7,6,2,4,1]=>{{1,3,7},{2,5},{4,6}}=>{{1,2,4},{3,6},{5,7}}=>4
[1,6,2,7,4,3,5]=>[3,6,5,7,2,4,1]=>{{1,3,5},{2,6},{4,7}}=>{{1,5},{2,4,6},{3,7}}=>5
[1,6,2,7,4,5,3]=>[3,7,5,6,2,4,1]=>{{1,3,5},{2,7},{4,6}}=>{{1,3},{2,4,6},{5,7}}=>3
[1,6,2,7,5,3,4]=>[3,6,7,5,2,4,1]=>{{1,3,7},{2,6},{4,5}}=>{{1,2,4},{3,7},{5,6}}=>4
[1,6,2,7,5,4,3]=>[3,7,6,5,2,4,1]=>{{1,3,6},{2,7},{4,5}}=>{{1,3},{2,4,7},{5,6}}=>3
[1,6,3,2,4,5,7]=>[4,3,5,6,2,7,1]=>{{1,4,6,7},{2,3,5}}=>{{1,2,5,7},{3,4,6}}=>7
[1,6,3,2,4,7,5]=>[4,3,5,7,2,6,1]=>{{1,4,7},{2,3,5},{6}}=>{{1,2,5},{3,4,6},{7}}=>5
[1,6,3,2,5,4,7]=>[4,3,6,5,2,7,1]=>{{1,4,5},{2,3,6,7}}=>{{1,3,4,7},{2,5,6}}=>7
[1,6,3,2,5,7,4]=>[4,3,7,5,2,6,1]=>{{1,4,5},{2,3,7},{6}}=>{{1,3,4},{2,5,6},{7}}=>4
[1,6,3,2,7,4,5]=>[4,3,6,7,2,5,1]=>{{1,4,7},{2,3,6},{5}}=>{{1,2,5},{3,4,7},{6}}=>5
[1,6,3,2,7,5,4]=>[4,3,7,6,2,5,1]=>{{1,4,6},{2,3,7},{5}}=>{{1,3,4},{2,5,7},{6}}=>4
[1,6,3,4,2,5,7]=>[5,3,4,6,2,7,1]=>{{1,5},{2,3,4,6,7}}=>{{1,3,4,5,7},{2,6}}=>7
[1,6,3,4,2,7,5]=>[5,3,4,7,2,6,1]=>{{1,5},{2,3,4,7},{6}}=>{{1,3,4,5},{2,6},{7}}=>5
[1,6,3,4,5,2,7]=>[6,3,4,5,2,7,1]=>{{1,6,7},{2,3,4,5}}=>{{1,2,7},{3,4,5,6}}=>7
[1,6,3,4,5,7,2]=>[7,3,4,5,2,6,1]=>{{1,7},{2,3,4,5},{6}}=>{{1,2},{3,4,5,6},{7}}=>2
[1,6,3,4,7,2,5]=>[6,3,4,7,2,5,1]=>{{1,6},{2,3,4,7},{5}}=>{{1,3,4,5},{2,7},{6}}=>5
[1,6,3,4,7,5,2]=>[7,3,4,6,2,5,1]=>{{1,7},{2,3,4,6},{5}}=>{{1,2},{3,4,5,7},{6}}=>2
[1,6,3,5,2,4,7]=>[5,3,6,4,2,7,1]=>{{1,5},{2,3,6,7},{4}}=>{{1,3,4,7},{2,6},{5}}=>7
[1,6,3,5,2,7,4]=>[5,3,7,4,2,6,1]=>{{1,5},{2,3,7},{4},{6}}=>{{1,3,4},{2,6},{5},{7}}=>4
[1,6,3,5,4,2,7]=>[6,3,5,4,2,7,1]=>{{1,6,7},{2,3,5},{4}}=>{{1,2,7},{3,4,6},{5}}=>7
[1,6,3,5,4,7,2]=>[7,3,5,4,2,6,1]=>{{1,7},{2,3,5},{4},{6}}=>{{1,2},{3,4,6},{5},{7}}=>2
[1,6,3,5,7,2,4]=>[6,3,7,4,2,5,1]=>{{1,6},{2,3,7},{4},{5}}=>{{1,3,4},{2,7},{5},{6}}=>4
[1,6,3,5,7,4,2]=>[7,3,6,4,2,5,1]=>{{1,7},{2,3,6},{4},{5}}=>{{1,2},{3,4,7},{5},{6}}=>2
[1,6,3,7,2,4,5]=>[5,3,6,7,2,4,1]=>{{1,5},{2,3,6},{4,7}}=>{{1,5},{2,6},{3,4,7}}=>5
[1,6,3,7,2,5,4]=>[5,3,7,6,2,4,1]=>{{1,5},{2,3,7},{4,6}}=>{{1,3,4},{2,6},{5,7}}=>4
[1,6,3,7,4,2,5]=>[6,3,5,7,2,4,1]=>{{1,6},{2,3,5},{4,7}}=>{{1,5},{2,7},{3,4,6}}=>5
[1,6,3,7,4,5,2]=>[7,3,5,6,2,4,1]=>{{1,7},{2,3,5},{4,6}}=>{{1,2},{3,4,6},{5,7}}=>2
[1,6,3,7,5,2,4]=>[6,3,7,5,2,4,1]=>{{1,6},{2,3,7},{4,5}}=>{{1,3,4},{2,7},{5,6}}=>4
[1,6,3,7,5,4,2]=>[7,3,6,5,2,4,1]=>{{1,7},{2,3,6},{4,5}}=>{{1,2},{3,4,7},{5,6}}=>2
[1,6,4,2,3,5,7]=>[4,5,3,6,2,7,1]=>{{1,4,6,7},{2,5},{3}}=>{{1,2,5,7},{3,6},{4}}=>7
[1,6,4,2,3,7,5]=>[4,5,3,7,2,6,1]=>{{1,4,7},{2,5},{3},{6}}=>{{1,2,5},{3,6},{4},{7}}=>5
[1,6,4,2,5,3,7]=>[4,6,3,5,2,7,1]=>{{1,4,5},{2,6,7},{3}}=>{{1,3,7},{2,5,6},{4}}=>7
[1,6,4,2,5,7,3]=>[4,7,3,5,2,6,1]=>{{1,4,5},{2,7},{3},{6}}=>{{1,3},{2,5,6},{4},{7}}=>3
[1,6,4,2,7,3,5]=>[4,6,3,7,2,5,1]=>{{1,4,7},{2,6},{3},{5}}=>{{1,2,5},{3,7},{4},{6}}=>5
[1,6,4,2,7,5,3]=>[4,7,3,6,2,5,1]=>{{1,4,6},{2,7},{3},{5}}=>{{1,3},{2,5,7},{4},{6}}=>3
[1,6,4,3,2,5,7]=>[5,4,3,6,2,7,1]=>{{1,5},{2,4,6,7},{3}}=>{{1,3,5,7},{2,6},{4}}=>7
[1,6,4,3,2,7,5]=>[5,4,3,7,2,6,1]=>{{1,5},{2,4,7},{3},{6}}=>{{1,3,5},{2,6},{4},{7}}=>5
[1,6,4,3,5,2,7]=>[6,4,3,5,2,7,1]=>{{1,6,7},{2,4,5},{3}}=>{{1,2,7},{3,5,6},{4}}=>7
[1,6,4,3,5,7,2]=>[7,4,3,5,2,6,1]=>{{1,7},{2,4,5},{3},{6}}=>{{1,2},{3,5,6},{4},{7}}=>2
[1,6,4,3,7,2,5]=>[6,4,3,7,2,5,1]=>{{1,6},{2,4,7},{3},{5}}=>{{1,3,5},{2,7},{4},{6}}=>5
[1,6,4,3,7,5,2]=>[7,4,3,6,2,5,1]=>{{1,7},{2,4,6},{3},{5}}=>{{1,2},{3,5,7},{4},{6}}=>2
[1,6,4,5,2,3,7]=>[5,6,3,4,2,7,1]=>{{1,5},{2,6,7},{3},{4}}=>{{1,3,7},{2,6},{4},{5}}=>7
[1,6,4,5,2,7,3]=>[5,7,3,4,2,6,1]=>{{1,5},{2,7},{3},{4},{6}}=>{{1,3},{2,6},{4},{5},{7}}=>3
[1,6,4,5,3,2,7]=>[6,5,3,4,2,7,1]=>{{1,6,7},{2,5},{3},{4}}=>{{1,2,7},{3,6},{4},{5}}=>7
[1,6,4,5,3,7,2]=>[7,5,3,4,2,6,1]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,2},{3,6},{4},{5},{7}}=>2
[1,6,4,5,7,2,3]=>[6,7,3,4,2,5,1]=>{{1,6},{2,7},{3},{4},{5}}=>{{1,3},{2,7},{4},{5},{6}}=>3
[1,6,4,5,7,3,2]=>[7,6,3,4,2,5,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,2},{3,7},{4},{5},{6}}=>2
[1,6,4,7,2,3,5]=>[5,6,3,7,2,4,1]=>{{1,5},{2,6},{3},{4,7}}=>{{1,5},{2,6},{3,7},{4}}=>5
[1,6,4,7,2,5,3]=>[5,7,3,6,2,4,1]=>{{1,5},{2,7},{3},{4,6}}=>{{1,3},{2,6},{4},{5,7}}=>3
[1,6,4,7,3,2,5]=>[6,5,3,7,2,4,1]=>{{1,6},{2,5},{3},{4,7}}=>{{1,5},{2,7},{3,6},{4}}=>5
[1,6,4,7,3,5,2]=>[7,5,3,6,2,4,1]=>{{1,7},{2,5},{3},{4,6}}=>{{1,2},{3,6},{4},{5,7}}=>2
[1,6,4,7,5,2,3]=>[6,7,3,5,2,4,1]=>{{1,6},{2,7},{3},{4,5}}=>{{1,3},{2,7},{4},{5,6}}=>3
[1,6,4,7,5,3,2]=>[7,6,3,5,2,4,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,2},{3,7},{4},{5,6}}=>2
[1,6,5,2,3,4,7]=>[4,5,6,3,2,7,1]=>{{1,4},{2,5},{3,6,7}}=>{{1,4,7},{2,5},{3,6}}=>7
[1,6,5,2,3,7,4]=>[4,5,7,3,2,6,1]=>{{1,4},{2,5},{3,7},{6}}=>{{1,4},{2,5},{3,6},{7}}=>4
[1,6,5,2,4,3,7]=>[4,6,5,3,2,7,1]=>{{1,4},{2,6,7},{3,5}}=>{{1,3,7},{2,5},{4,6}}=>7
[1,6,5,2,4,7,3]=>[4,7,5,3,2,6,1]=>{{1,4},{2,7},{3,5},{6}}=>{{1,3},{2,5},{4,6},{7}}=>3
[1,6,5,2,7,3,4]=>[4,6,7,3,2,5,1]=>{{1,4},{2,6},{3,7},{5}}=>{{1,4},{2,5},{3,7},{6}}=>4
[1,6,5,2,7,4,3]=>[4,7,6,3,2,5,1]=>{{1,4},{2,7},{3,6},{5}}=>{{1,3},{2,5},{4,7},{6}}=>3
[1,6,5,3,2,4,7]=>[5,4,6,3,2,7,1]=>{{1,5},{2,4},{3,6,7}}=>{{1,4,7},{2,6},{3,5}}=>7
[1,6,5,3,2,7,4]=>[5,4,7,3,2,6,1]=>{{1,5},{2,4},{3,7},{6}}=>{{1,4},{2,6},{3,5},{7}}=>4
[1,6,5,3,4,2,7]=>[6,4,5,3,2,7,1]=>{{1,6,7},{2,4},{3,5}}=>{{1,2,7},{3,5},{4,6}}=>7
[1,6,5,3,4,7,2]=>[7,4,5,3,2,6,1]=>{{1,7},{2,4},{3,5},{6}}=>{{1,2},{3,5},{4,6},{7}}=>2
[1,6,5,3,7,2,4]=>[6,4,7,3,2,5,1]=>{{1,6},{2,4},{3,7},{5}}=>{{1,4},{2,7},{3,5},{6}}=>4
[1,6,5,3,7,4,2]=>[7,4,6,3,2,5,1]=>{{1,7},{2,4},{3,6},{5}}=>{{1,2},{3,5},{4,7},{6}}=>2
[1,6,5,4,2,3,7]=>[5,6,4,3,2,7,1]=>{{1,5},{2,6,7},{3,4}}=>{{1,3,7},{2,6},{4,5}}=>7
[1,6,5,4,2,7,3]=>[5,7,4,3,2,6,1]=>{{1,5},{2,7},{3,4},{6}}=>{{1,3},{2,6},{4,5},{7}}=>3
[1,6,5,4,3,2,7]=>[6,5,4,3,2,7,1]=>{{1,6,7},{2,5},{3,4}}=>{{1,2,7},{3,6},{4,5}}=>7
[1,6,5,4,3,7,2]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>{{1,2},{3,6},{4,5},{7}}=>2
[1,6,5,4,7,2,3]=>[6,7,4,3,2,5,1]=>{{1,6},{2,7},{3,4},{5}}=>{{1,3},{2,7},{4,5},{6}}=>3
[1,6,5,4,7,3,2]=>[7,6,4,3,2,5,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,2},{3,7},{4,5},{6}}=>2
[1,6,5,7,2,3,4]=>[5,6,7,3,2,4,1]=>{{1,5},{2,6},{3,7},{4}}=>{{1,4},{2,6},{3,7},{5}}=>4
[1,6,5,7,2,4,3]=>[5,7,6,3,2,4,1]=>{{1,5},{2,7},{3,6},{4}}=>{{1,3},{2,6},{4,7},{5}}=>3
[1,6,5,7,3,2,4]=>[6,5,7,3,2,4,1]=>{{1,6},{2,5},{3,7},{4}}=>{{1,4},{2,7},{3,6},{5}}=>4
[1,6,5,7,3,4,2]=>[7,5,6,3,2,4,1]=>{{1,7},{2,5},{3,6},{4}}=>{{1,2},{3,6},{4,7},{5}}=>2
[1,6,5,7,4,2,3]=>[6,7,5,3,2,4,1]=>{{1,6},{2,7},{3,5},{4}}=>{{1,3},{2,7},{4,6},{5}}=>3
[1,6,5,7,4,3,2]=>[7,6,5,3,2,4,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,2},{3,7},{4,6},{5}}=>2
[1,6,7,2,3,4,5]=>[4,5,6,7,2,3,1]=>{{1,4,7},{2,5},{3,6}}=>{{1,2,5},{3,6},{4,7}}=>5
[1,6,7,2,3,5,4]=>[4,5,7,6,2,3,1]=>{{1,4,6},{2,5},{3,7}}=>{{1,4},{2,5,7},{3,6}}=>4
[1,6,7,2,4,3,5]=>[4,6,5,7,2,3,1]=>{{1,4,7},{2,6},{3,5}}=>{{1,2,5},{3,7},{4,6}}=>5
[1,6,7,2,4,5,3]=>[4,7,5,6,2,3,1]=>{{1,4,6},{2,7},{3,5}}=>{{1,3},{2,5,7},{4,6}}=>3
[1,6,7,2,5,3,4]=>[4,6,7,5,2,3,1]=>{{1,4,5},{2,6},{3,7}}=>{{1,4},{2,5,6},{3,7}}=>4
[1,6,7,2,5,4,3]=>[4,7,6,5,2,3,1]=>{{1,4,5},{2,7},{3,6}}=>{{1,3},{2,5,6},{4,7}}=>3
[1,6,7,3,2,4,5]=>[5,4,6,7,2,3,1]=>{{1,5},{2,4,7},{3,6}}=>{{1,3,5},{2,6},{4,7}}=>5
[1,6,7,3,2,5,4]=>[5,4,7,6,2,3,1]=>{{1,5},{2,4,6},{3,7}}=>{{1,4},{2,6},{3,5,7}}=>4
[1,6,7,3,4,2,5]=>[6,4,5,7,2,3,1]=>{{1,6},{2,4,7},{3,5}}=>{{1,3,5},{2,7},{4,6}}=>5
[1,6,7,3,4,5,2]=>[7,4,5,6,2,3,1]=>{{1,7},{2,4,6},{3,5}}=>{{1,2},{3,5,7},{4,6}}=>2
[1,6,7,3,5,2,4]=>[6,4,7,5,2,3,1]=>{{1,6},{2,4,5},{3,7}}=>{{1,4},{2,7},{3,5,6}}=>4
[1,6,7,3,5,4,2]=>[7,4,6,5,2,3,1]=>{{1,7},{2,4,5},{3,6}}=>{{1,2},{3,5,6},{4,7}}=>2
[1,6,7,4,2,3,5]=>[5,6,4,7,2,3,1]=>{{1,5},{2,6},{3,4,7}}=>{{1,4,5},{2,6},{3,7}}=>5
[1,6,7,4,2,5,3]=>[5,7,4,6,2,3,1]=>{{1,5},{2,7},{3,4,6}}=>{{1,3},{2,6},{4,5,7}}=>3
[1,6,7,4,3,2,5]=>[6,5,4,7,2,3,1]=>{{1,6},{2,5},{3,4,7}}=>{{1,4,5},{2,7},{3,6}}=>5
[1,6,7,4,3,5,2]=>[7,5,4,6,2,3,1]=>{{1,7},{2,5},{3,4,6}}=>{{1,2},{3,6},{4,5,7}}=>2
[1,6,7,4,5,2,3]=>[6,7,4,5,2,3,1]=>{{1,6},{2,7},{3,4,5}}=>{{1,3},{2,7},{4,5,6}}=>3
[1,6,7,4,5,3,2]=>[7,6,4,5,2,3,1]=>{{1,7},{2,6},{3,4,5}}=>{{1,2},{3,7},{4,5,6}}=>2
[1,6,7,5,2,3,4]=>[5,6,7,4,2,3,1]=>{{1,5},{2,6},{3,7},{4}}=>{{1,4},{2,6},{3,7},{5}}=>4
[1,6,7,5,2,4,3]=>[5,7,6,4,2,3,1]=>{{1,5},{2,7},{3,6},{4}}=>{{1,3},{2,6},{4,7},{5}}=>3
[1,6,7,5,3,2,4]=>[6,5,7,4,2,3,1]=>{{1,6},{2,5},{3,7},{4}}=>{{1,4},{2,7},{3,6},{5}}=>4
[1,6,7,5,3,4,2]=>[7,5,6,4,2,3,1]=>{{1,7},{2,5},{3,6},{4}}=>{{1,2},{3,6},{4,7},{5}}=>2
[1,6,7,5,4,2,3]=>[6,7,5,4,2,3,1]=>{{1,6},{2,7},{3,5},{4}}=>{{1,3},{2,7},{4,6},{5}}=>3
[1,6,7,5,4,3,2]=>[7,6,5,4,2,3,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,2},{3,7},{4,6},{5}}=>2
[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>{{1,3,5,7},{2,4,6}}=>{{1,2,4,6},{3,5,7}}=>6
[1,7,2,3,4,6,5]=>[3,4,5,7,6,2,1]=>{{1,3,5,6},{2,4,7}}=>{{1,3,5},{2,4,6,7}}=>5
[1,7,2,3,5,4,6]=>[3,4,6,5,7,2,1]=>{{1,3,6},{2,4,5,7}}=>{{1,3,5,6},{2,4,7}}=>6
[1,7,2,3,5,6,4]=>[3,4,7,5,6,2,1]=>{{1,3,7},{2,4,5,6}}=>{{1,2,4},{3,5,6,7}}=>4
[1,7,2,3,6,4,5]=>[3,4,6,7,5,2,1]=>{{1,3,6},{2,4,7},{5}}=>{{1,3,5},{2,4,7},{6}}=>5
[1,7,2,3,6,5,4]=>[3,4,7,6,5,2,1]=>{{1,3,7},{2,4,6},{5}}=>{{1,2,4},{3,5,7},{6}}=>4
[1,7,2,4,3,5,6]=>[3,5,4,6,7,2,1]=>{{1,3,4,6},{2,5,7}}=>{{1,3,6},{2,4,5,7}}=>6
[1,7,2,4,3,6,5]=>[3,5,4,7,6,2,1]=>{{1,3,4,7},{2,5,6}}=>{{1,2,4,5},{3,6,7}}=>5
[1,7,2,4,5,3,6]=>[3,6,4,5,7,2,1]=>{{1,3,4,5,7},{2,6}}=>{{1,2,4,5,6},{3,7}}=>6
[1,7,2,4,5,6,3]=>[3,7,4,5,6,2,1]=>{{1,3,4,5,6},{2,7}}=>{{1,3},{2,4,5,6,7}}=>3
[1,7,2,4,6,3,5]=>[3,6,4,7,5,2,1]=>{{1,3,4,7},{2,6},{5}}=>{{1,2,4,5},{3,7},{6}}=>5
[1,7,2,4,6,5,3]=>[3,7,4,6,5,2,1]=>{{1,3,4,6},{2,7},{5}}=>{{1,3},{2,4,5,7},{6}}=>3
[1,7,2,5,3,4,6]=>[3,5,6,4,7,2,1]=>{{1,3,6},{2,5,7},{4}}=>{{1,3,6},{2,4,7},{5}}=>6
[1,7,2,5,3,6,4]=>[3,5,7,4,6,2,1]=>{{1,3,7},{2,5,6},{4}}=>{{1,2,4},{3,6,7},{5}}=>4
[1,7,2,5,4,3,6]=>[3,6,5,4,7,2,1]=>{{1,3,5,7},{2,6},{4}}=>{{1,2,4,6},{3,7},{5}}=>6
[1,7,2,5,4,6,3]=>[3,7,5,4,6,2,1]=>{{1,3,5,6},{2,7},{4}}=>{{1,3},{2,4,6,7},{5}}=>3
[1,7,2,5,6,3,4]=>[3,6,7,4,5,2,1]=>{{1,3,7},{2,6},{4},{5}}=>{{1,2,4},{3,7},{5},{6}}=>4
[1,7,2,5,6,4,3]=>[3,7,6,4,5,2,1]=>{{1,3,6},{2,7},{4},{5}}=>{{1,3},{2,4,7},{5},{6}}=>3
[1,7,2,6,3,4,5]=>[3,5,6,7,4,2,1]=>{{1,3,6},{2,5},{4,7}}=>{{1,5},{2,4,7},{3,6}}=>5
[1,7,2,6,3,5,4]=>[3,5,7,6,4,2,1]=>{{1,3,7},{2,5},{4,6}}=>{{1,2,4},{3,6},{5,7}}=>4
[1,7,2,6,4,3,5]=>[3,6,5,7,4,2,1]=>{{1,3,5},{2,6},{4,7}}=>{{1,5},{2,4,6},{3,7}}=>5
[1,7,2,6,4,5,3]=>[3,7,5,6,4,2,1]=>{{1,3,5},{2,7},{4,6}}=>{{1,3},{2,4,6},{5,7}}=>3
[1,7,2,6,5,3,4]=>[3,6,7,5,4,2,1]=>{{1,3,7},{2,6},{4,5}}=>{{1,2,4},{3,7},{5,6}}=>4
[1,7,2,6,5,4,3]=>[3,7,6,5,4,2,1]=>{{1,3,6},{2,7},{4,5}}=>{{1,3},{2,4,7},{5,6}}=>3
[1,7,3,2,4,5,6]=>[4,3,5,6,7,2,1]=>{{1,4,6},{2,3,5,7}}=>{{1,3,4,6},{2,5,7}}=>6
[1,7,3,2,4,6,5]=>[4,3,5,7,6,2,1]=>{{1,4,7},{2,3,5,6}}=>{{1,2,5},{3,4,6,7}}=>5
[1,7,3,2,5,4,6]=>[4,3,6,5,7,2,1]=>{{1,4,5,7},{2,3,6}}=>{{1,2,5,6},{3,4,7}}=>6
[1,7,3,2,5,6,4]=>[4,3,7,5,6,2,1]=>{{1,4,5,6},{2,3,7}}=>{{1,3,4},{2,5,6,7}}=>4
[1,7,3,2,6,4,5]=>[4,3,6,7,5,2,1]=>{{1,4,7},{2,3,6},{5}}=>{{1,2,5},{3,4,7},{6}}=>5
[1,7,3,2,6,5,4]=>[4,3,7,6,5,2,1]=>{{1,4,6},{2,3,7},{5}}=>{{1,3,4},{2,5,7},{6}}=>4
[1,7,3,4,2,5,6]=>[5,3,4,6,7,2,1]=>{{1,5,7},{2,3,4,6}}=>{{1,2,6},{3,4,5,7}}=>6
[1,7,3,4,2,6,5]=>[5,3,4,7,6,2,1]=>{{1,5,6},{2,3,4,7}}=>{{1,3,4,5},{2,6,7}}=>5
[1,7,3,4,5,2,6]=>[6,3,4,5,7,2,1]=>{{1,6},{2,3,4,5,7}}=>{{1,3,4,5,6},{2,7}}=>6
[1,7,3,4,5,6,2]=>[7,3,4,5,6,2,1]=>{{1,7},{2,3,4,5,6}}=>{{1,2},{3,4,5,6,7}}=>2
[1,7,3,4,6,2,5]=>[6,3,4,7,5,2,1]=>{{1,6},{2,3,4,7},{5}}=>{{1,3,4,5},{2,7},{6}}=>5
[1,7,3,4,6,5,2]=>[7,3,4,6,5,2,1]=>{{1,7},{2,3,4,6},{5}}=>{{1,2},{3,4,5,7},{6}}=>2
[1,7,3,5,2,4,6]=>[5,3,6,4,7,2,1]=>{{1,5,7},{2,3,6},{4}}=>{{1,2,6},{3,4,7},{5}}=>6
[1,7,3,5,2,6,4]=>[5,3,7,4,6,2,1]=>{{1,5,6},{2,3,7},{4}}=>{{1,3,4},{2,6,7},{5}}=>4
[1,7,3,5,4,2,6]=>[6,3,5,4,7,2,1]=>{{1,6},{2,3,5,7},{4}}=>{{1,3,4,6},{2,7},{5}}=>6
[1,7,3,5,4,6,2]=>[7,3,5,4,6,2,1]=>{{1,7},{2,3,5,6},{4}}=>{{1,2},{3,4,6,7},{5}}=>2
[1,7,3,5,6,2,4]=>[6,3,7,4,5,2,1]=>{{1,6},{2,3,7},{4},{5}}=>{{1,3,4},{2,7},{5},{6}}=>4
[1,7,3,5,6,4,2]=>[7,3,6,4,5,2,1]=>{{1,7},{2,3,6},{4},{5}}=>{{1,2},{3,4,7},{5},{6}}=>2
[1,7,3,6,2,4,5]=>[5,3,6,7,4,2,1]=>{{1,5},{2,3,6},{4,7}}=>{{1,5},{2,6},{3,4,7}}=>5
[1,7,3,6,2,5,4]=>[5,3,7,6,4,2,1]=>{{1,5},{2,3,7},{4,6}}=>{{1,3,4},{2,6},{5,7}}=>4
[1,7,3,6,4,2,5]=>[6,3,5,7,4,2,1]=>{{1,6},{2,3,5},{4,7}}=>{{1,5},{2,7},{3,4,6}}=>5
[1,7,3,6,4,5,2]=>[7,3,5,6,4,2,1]=>{{1,7},{2,3,5},{4,6}}=>{{1,2},{3,4,6},{5,7}}=>2
[1,7,3,6,5,2,4]=>[6,3,7,5,4,2,1]=>{{1,6},{2,3,7},{4,5}}=>{{1,3,4},{2,7},{5,6}}=>4
[1,7,3,6,5,4,2]=>[7,3,6,5,4,2,1]=>{{1,7},{2,3,6},{4,5}}=>{{1,2},{3,4,7},{5,6}}=>2
[1,7,4,2,3,5,6]=>[4,5,3,6,7,2,1]=>{{1,4,6},{2,5,7},{3}}=>{{1,3,6},{2,5,7},{4}}=>6
[1,7,4,2,3,6,5]=>[4,5,3,7,6,2,1]=>{{1,4,7},{2,5,6},{3}}=>{{1,2,5},{3,6,7},{4}}=>5
[1,7,4,2,5,3,6]=>[4,6,3,5,7,2,1]=>{{1,4,5,7},{2,6},{3}}=>{{1,2,5,6},{3,7},{4}}=>6
[1,7,4,2,5,6,3]=>[4,7,3,5,6,2,1]=>{{1,4,5,6},{2,7},{3}}=>{{1,3},{2,5,6,7},{4}}=>3
[1,7,4,2,6,3,5]=>[4,6,3,7,5,2,1]=>{{1,4,7},{2,6},{3},{5}}=>{{1,2,5},{3,7},{4},{6}}=>5
[1,7,4,2,6,5,3]=>[4,7,3,6,5,2,1]=>{{1,4,6},{2,7},{3},{5}}=>{{1,3},{2,5,7},{4},{6}}=>3
[1,7,4,3,2,5,6]=>[5,4,3,6,7,2,1]=>{{1,5,7},{2,4,6},{3}}=>{{1,2,6},{3,5,7},{4}}=>6
[1,7,4,3,2,6,5]=>[5,4,3,7,6,2,1]=>{{1,5,6},{2,4,7},{3}}=>{{1,3,5},{2,6,7},{4}}=>5
[1,7,4,3,5,2,6]=>[6,4,3,5,7,2,1]=>{{1,6},{2,4,5,7},{3}}=>{{1,3,5,6},{2,7},{4}}=>6
[1,7,4,3,5,6,2]=>[7,4,3,5,6,2,1]=>{{1,7},{2,4,5,6},{3}}=>{{1,2},{3,5,6,7},{4}}=>2
[1,7,4,3,6,2,5]=>[6,4,3,7,5,2,1]=>{{1,6},{2,4,7},{3},{5}}=>{{1,3,5},{2,7},{4},{6}}=>5
[1,7,4,3,6,5,2]=>[7,4,3,6,5,2,1]=>{{1,7},{2,4,6},{3},{5}}=>{{1,2},{3,5,7},{4},{6}}=>2
[1,7,4,5,2,3,6]=>[5,6,3,4,7,2,1]=>{{1,5,7},{2,6},{3},{4}}=>{{1,2,6},{3,7},{4},{5}}=>6
[1,7,4,5,2,6,3]=>[5,7,3,4,6,2,1]=>{{1,5,6},{2,7},{3},{4}}=>{{1,3},{2,6,7},{4},{5}}=>3
[1,7,4,5,3,2,6]=>[6,5,3,4,7,2,1]=>{{1,6},{2,5,7},{3},{4}}=>{{1,3,6},{2,7},{4},{5}}=>6
[1,7,4,5,3,6,2]=>[7,5,3,4,6,2,1]=>{{1,7},{2,5,6},{3},{4}}=>{{1,2},{3,6,7},{4},{5}}=>2
[1,7,4,5,6,2,3]=>[6,7,3,4,5,2,1]=>{{1,6},{2,7},{3},{4},{5}}=>{{1,3},{2,7},{4},{5},{6}}=>3
[1,7,4,5,6,3,2]=>[7,6,3,4,5,2,1]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,2},{3,7},{4},{5},{6}}=>2
[1,7,4,6,2,3,5]=>[5,6,3,7,4,2,1]=>{{1,5},{2,6},{3},{4,7}}=>{{1,5},{2,6},{3,7},{4}}=>5
[1,7,4,6,2,5,3]=>[5,7,3,6,4,2,1]=>{{1,5},{2,7},{3},{4,6}}=>{{1,3},{2,6},{4},{5,7}}=>3
[1,7,4,6,3,2,5]=>[6,5,3,7,4,2,1]=>{{1,6},{2,5},{3},{4,7}}=>{{1,5},{2,7},{3,6},{4}}=>5
[1,7,4,6,3,5,2]=>[7,5,3,6,4,2,1]=>{{1,7},{2,5},{3},{4,6}}=>{{1,2},{3,6},{4},{5,7}}=>2
[1,7,4,6,5,2,3]=>[6,7,3,5,4,2,1]=>{{1,6},{2,7},{3},{4,5}}=>{{1,3},{2,7},{4},{5,6}}=>3
[1,7,4,6,5,3,2]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>{{1,2},{3,7},{4},{5,6}}=>2
[1,7,5,2,3,4,6]=>[4,5,6,3,7,2,1]=>{{1,4},{2,5,7},{3,6}}=>{{1,3,6},{2,5},{4,7}}=>6
[1,7,5,2,3,6,4]=>[4,5,7,3,6,2,1]=>{{1,4},{2,5,6},{3,7}}=>{{1,4},{2,5},{3,6,7}}=>4
[1,7,5,2,4,3,6]=>[4,6,5,3,7,2,1]=>{{1,4},{2,6},{3,5,7}}=>{{1,4,6},{2,5},{3,7}}=>6
[1,7,5,2,4,6,3]=>[4,7,5,3,6,2,1]=>{{1,4},{2,7},{3,5,6}}=>{{1,3},{2,5},{4,6,7}}=>3
[1,7,5,2,6,3,4]=>[4,6,7,3,5,2,1]=>{{1,4},{2,6},{3,7},{5}}=>{{1,4},{2,5},{3,7},{6}}=>4
[1,7,5,2,6,4,3]=>[4,7,6,3,5,2,1]=>{{1,4},{2,7},{3,6},{5}}=>{{1,3},{2,5},{4,7},{6}}=>3
[1,7,5,3,2,4,6]=>[5,4,6,3,7,2,1]=>{{1,5,7},{2,4},{3,6}}=>{{1,2,6},{3,5},{4,7}}=>6
[1,7,5,3,2,6,4]=>[5,4,7,3,6,2,1]=>{{1,5,6},{2,4},{3,7}}=>{{1,4},{2,6,7},{3,5}}=>4
[1,7,5,3,4,2,6]=>[6,4,5,3,7,2,1]=>{{1,6},{2,4},{3,5,7}}=>{{1,4,6},{2,7},{3,5}}=>6
[1,7,5,3,4,6,2]=>[7,4,5,3,6,2,1]=>{{1,7},{2,4},{3,5,6}}=>{{1,2},{3,5},{4,6,7}}=>2
[1,7,5,3,6,2,4]=>[6,4,7,3,5,2,1]=>{{1,6},{2,4},{3,7},{5}}=>{{1,4},{2,7},{3,5},{6}}=>4
[1,7,5,3,6,4,2]=>[7,4,6,3,5,2,1]=>{{1,7},{2,4},{3,6},{5}}=>{{1,2},{3,5},{4,7},{6}}=>2
[1,7,5,4,2,3,6]=>[5,6,4,3,7,2,1]=>{{1,5,7},{2,6},{3,4}}=>{{1,2,6},{3,7},{4,5}}=>6
[1,7,5,4,2,6,3]=>[5,7,4,3,6,2,1]=>{{1,5,6},{2,7},{3,4}}=>{{1,3},{2,6,7},{4,5}}=>3
[1,7,5,4,3,2,6]=>[6,5,4,3,7,2,1]=>{{1,6},{2,5,7},{3,4}}=>{{1,3,6},{2,7},{4,5}}=>6
[1,7,5,4,3,6,2]=>[7,5,4,3,6,2,1]=>{{1,7},{2,5,6},{3,4}}=>{{1,2},{3,6,7},{4,5}}=>2
[1,7,5,4,6,2,3]=>[6,7,4,3,5,2,1]=>{{1,6},{2,7},{3,4},{5}}=>{{1,3},{2,7},{4,5},{6}}=>3
[1,7,5,4,6,3,2]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>{{1,2},{3,7},{4,5},{6}}=>2
[1,7,5,6,2,3,4]=>[5,6,7,3,4,2,1]=>{{1,5},{2,6},{3,7},{4}}=>{{1,4},{2,6},{3,7},{5}}=>4
[1,7,5,6,2,4,3]=>[5,7,6,3,4,2,1]=>{{1,5},{2,7},{3,6},{4}}=>{{1,3},{2,6},{4,7},{5}}=>3
[1,7,5,6,3,2,4]=>[6,5,7,3,4,2,1]=>{{1,6},{2,5},{3,7},{4}}=>{{1,4},{2,7},{3,6},{5}}=>4
[1,7,5,6,3,4,2]=>[7,5,6,3,4,2,1]=>{{1,7},{2,5},{3,6},{4}}=>{{1,2},{3,6},{4,7},{5}}=>2
[1,7,5,6,4,2,3]=>[6,7,5,3,4,2,1]=>{{1,6},{2,7},{3,5},{4}}=>{{1,3},{2,7},{4,6},{5}}=>3
[1,7,5,6,4,3,2]=>[7,6,5,3,4,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,2},{3,7},{4,6},{5}}=>2
[1,7,6,2,3,4,5]=>[4,5,6,7,3,2,1]=>{{1,4,7},{2,5},{3,6}}=>{{1,2,5},{3,6},{4,7}}=>5
[1,7,6,2,3,5,4]=>[4,5,7,6,3,2,1]=>{{1,4,6},{2,5},{3,7}}=>{{1,4},{2,5,7},{3,6}}=>4
[1,7,6,2,4,3,5]=>[4,6,5,7,3,2,1]=>{{1,4,7},{2,6},{3,5}}=>{{1,2,5},{3,7},{4,6}}=>5
[1,7,6,2,4,5,3]=>[4,7,5,6,3,2,1]=>{{1,4,6},{2,7},{3,5}}=>{{1,3},{2,5,7},{4,6}}=>3
[1,7,6,2,5,3,4]=>[4,6,7,5,3,2,1]=>{{1,4,5},{2,6},{3,7}}=>{{1,4},{2,5,6},{3,7}}=>4
[1,7,6,2,5,4,3]=>[4,7,6,5,3,2,1]=>{{1,4,5},{2,7},{3,6}}=>{{1,3},{2,5,6},{4,7}}=>3
[1,7,6,3,2,4,5]=>[5,4,6,7,3,2,1]=>{{1,5},{2,4,7},{3,6}}=>{{1,3,5},{2,6},{4,7}}=>5
[1,7,6,3,2,5,4]=>[5,4,7,6,3,2,1]=>{{1,5},{2,4,6},{3,7}}=>{{1,4},{2,6},{3,5,7}}=>4
[1,7,6,3,4,2,5]=>[6,4,5,7,3,2,1]=>{{1,6},{2,4,7},{3,5}}=>{{1,3,5},{2,7},{4,6}}=>5
[1,7,6,3,4,5,2]=>[7,4,5,6,3,2,1]=>{{1,7},{2,4,6},{3,5}}=>{{1,2},{3,5,7},{4,6}}=>2
[1,7,6,3,5,2,4]=>[6,4,7,5,3,2,1]=>{{1,6},{2,4,5},{3,7}}=>{{1,4},{2,7},{3,5,6}}=>4
[1,7,6,3,5,4,2]=>[7,4,6,5,3,2,1]=>{{1,7},{2,4,5},{3,6}}=>{{1,2},{3,5,6},{4,7}}=>2
[1,7,6,4,2,3,5]=>[5,6,4,7,3,2,1]=>{{1,5},{2,6},{3,4,7}}=>{{1,4,5},{2,6},{3,7}}=>5
[1,7,6,4,2,5,3]=>[5,7,4,6,3,2,1]=>{{1,5},{2,7},{3,4,6}}=>{{1,3},{2,6},{4,5,7}}=>3
[1,7,6,4,3,2,5]=>[6,5,4,7,3,2,1]=>{{1,6},{2,5},{3,4,7}}=>{{1,4,5},{2,7},{3,6}}=>5
[1,7,6,4,3,5,2]=>[7,5,4,6,3,2,1]=>{{1,7},{2,5},{3,4,6}}=>{{1,2},{3,6},{4,5,7}}=>2
[1,7,6,4,5,2,3]=>[6,7,4,5,3,2,1]=>{{1,6},{2,7},{3,4,5}}=>{{1,3},{2,7},{4,5,6}}=>3
[1,7,6,4,5,3,2]=>[7,6,4,5,3,2,1]=>{{1,7},{2,6},{3,4,5}}=>{{1,2},{3,7},{4,5,6}}=>2
[1,7,6,5,2,3,4]=>[5,6,7,4,3,2,1]=>{{1,5},{2,6},{3,7},{4}}=>{{1,4},{2,6},{3,7},{5}}=>4
[1,7,6,5,2,4,3]=>[5,7,6,4,3,2,1]=>{{1,5},{2,7},{3,6},{4}}=>{{1,3},{2,6},{4,7},{5}}=>3
[1,7,6,5,3,2,4]=>[6,5,7,4,3,2,1]=>{{1,6},{2,5},{3,7},{4}}=>{{1,4},{2,7},{3,6},{5}}=>4
[1,7,6,5,3,4,2]=>[7,5,6,4,3,2,1]=>{{1,7},{2,5},{3,6},{4}}=>{{1,2},{3,6},{4,7},{5}}=>2
[1,7,6,5,4,2,3]=>[6,7,5,4,3,2,1]=>{{1,6},{2,7},{3,5},{4}}=>{{1,3},{2,7},{4,6},{5}}=>3
[1,7,6,5,4,3,2]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>{{1,2},{3,7},{4,6},{5}}=>2
[2,1,3,4,5,6,7]=>[1,3,4,5,6,7,2]=>{{1},{2,3,4,5,6,7}}=>{{1,3,4,5,6,7},{2}}=>7
[2,1,3,4,5,7,6]=>[1,3,4,5,7,6,2]=>{{1},{2,3,4,5,7},{6}}=>{{1,3,4,5,6},{2},{7}}=>6
[2,1,3,4,6,5,7]=>[1,3,4,6,5,7,2]=>{{1},{2,3,4,6,7},{5}}=>{{1,3,4,5,7},{2},{6}}=>7
[2,1,3,4,6,7,5]=>[1,3,4,7,5,6,2]=>{{1},{2,3,4,7},{5},{6}}=>{{1,3,4,5},{2},{6},{7}}=>5
[2,1,3,4,7,5,6]=>[1,3,4,6,7,5,2]=>{{1},{2,3,4,6},{5,7}}=>{{1,6},{2},{3,4,5,7}}=>6
[2,1,3,4,7,6,5]=>[1,3,4,7,6,5,2]=>{{1},{2,3,4,7},{5,6}}=>{{1,3,4,5},{2},{6,7}}=>5
[2,1,3,5,4,6,7]=>[1,3,5,4,6,7,2]=>{{1},{2,3,5,6,7},{4}}=>{{1,3,4,6,7},{2},{5}}=>7
[2,1,3,5,4,7,6]=>[1,3,5,4,7,6,2]=>{{1},{2,3,5,7},{4},{6}}=>{{1,3,4,6},{2},{5},{7}}=>6
[2,1,3,5,6,4,7]=>[1,3,6,4,5,7,2]=>{{1},{2,3,6,7},{4},{5}}=>{{1,3,4,7},{2},{5},{6}}=>7
[2,1,3,5,6,7,4]=>[1,3,7,4,5,6,2]=>{{1},{2,3,7},{4},{5},{6}}=>{{1,3,4},{2},{5},{6},{7}}=>4
[2,1,3,5,7,4,6]=>[1,3,6,4,7,5,2]=>{{1},{2,3,6},{4},{5,7}}=>{{1,6},{2},{3,4,7},{5}}=>6
[2,1,3,5,7,6,4]=>[1,3,7,4,6,5,2]=>{{1},{2,3,7},{4},{5,6}}=>{{1,3,4},{2},{5},{6,7}}=>4
[2,1,3,6,4,5,7]=>[1,3,5,6,4,7,2]=>{{1},{2,3,5},{4,6,7}}=>{{1,5,7},{2},{3,4,6}}=>7
[2,1,3,6,4,7,5]=>[1,3,5,7,4,6,2]=>{{1},{2,3,5},{4,7},{6}}=>{{1,5},{2},{3,4,6},{7}}=>5
[2,1,3,6,5,4,7]=>[1,3,6,5,4,7,2]=>{{1},{2,3,6,7},{4,5}}=>{{1,3,4,7},{2},{5,6}}=>7
[2,1,3,6,5,7,4]=>[1,3,7,5,4,6,2]=>{{1},{2,3,7},{4,5},{6}}=>{{1,3,4},{2},{5,6},{7}}=>4
[2,1,3,6,7,4,5]=>[1,3,6,7,4,5,2]=>{{1},{2,3,6},{4,7},{5}}=>{{1,5},{2},{3,4,7},{6}}=>5
[2,1,3,6,7,5,4]=>[1,3,7,6,4,5,2]=>{{1},{2,3,7},{4,6},{5}}=>{{1,3,4},{2},{5,7},{6}}=>4
[2,1,3,7,4,5,6]=>[1,3,5,6,7,4,2]=>{{1},{2,3,5,7},{4,6}}=>{{1,3,4,6},{2},{5,7}}=>6
[2,1,3,7,4,6,5]=>[1,3,5,7,6,4,2]=>{{1},{2,3,5,6},{4,7}}=>{{1,5},{2},{3,4,6,7}}=>5
[2,1,3,7,5,4,6]=>[1,3,6,5,7,4,2]=>{{1},{2,3,6},{4,5,7}}=>{{1,5,6},{2},{3,4,7}}=>6
[2,1,3,7,5,6,4]=>[1,3,7,5,6,4,2]=>{{1},{2,3,7},{4,5,6}}=>{{1,3,4},{2},{5,6,7}}=>4
[2,1,3,7,6,4,5]=>[1,3,6,7,5,4,2]=>{{1},{2,3,6},{4,7},{5}}=>{{1,5},{2},{3,4,7},{6}}=>5
[2,1,3,7,6,5,4]=>[1,3,7,6,5,4,2]=>{{1},{2,3,7},{4,6},{5}}=>{{1,3,4},{2},{5,7},{6}}=>4
[2,1,4,3,5,6,7]=>[1,4,3,5,6,7,2]=>{{1},{2,4,5,6,7},{3}}=>{{1,3,5,6,7},{2},{4}}=>7
[2,1,4,3,5,7,6]=>[1,4,3,5,7,6,2]=>{{1},{2,4,5,7},{3},{6}}=>{{1,3,5,6},{2},{4},{7}}=>6
[2,1,4,3,6,5,7]=>[1,4,3,6,5,7,2]=>{{1},{2,4,6,7},{3},{5}}=>{{1,3,5,7},{2},{4},{6}}=>7
[2,1,4,3,6,7,5]=>[1,4,3,7,5,6,2]=>{{1},{2,4,7},{3},{5},{6}}=>{{1,3,5},{2},{4},{6},{7}}=>5
[2,1,4,3,7,5,6]=>[1,4,3,6,7,5,2]=>{{1},{2,4,6},{3},{5,7}}=>{{1,6},{2},{3,5,7},{4}}=>6
[2,1,4,3,7,6,5]=>[1,4,3,7,6,5,2]=>{{1},{2,4,7},{3},{5,6}}=>{{1,3,5},{2},{4},{6,7}}=>5
[2,1,4,5,3,6,7]=>[1,5,3,4,6,7,2]=>{{1},{2,5,6,7},{3},{4}}=>{{1,3,6,7},{2},{4},{5}}=>7
[2,1,4,5,3,7,6]=>[1,5,3,4,7,6,2]=>{{1},{2,5,7},{3},{4},{6}}=>{{1,3,6},{2},{4},{5},{7}}=>6
[2,1,4,5,6,3,7]=>[1,6,3,4,5,7,2]=>{{1},{2,6,7},{3},{4},{5}}=>{{1,3,7},{2},{4},{5},{6}}=>7
[2,1,4,5,6,7,3]=>[1,7,3,4,5,6,2]=>{{1},{2,7},{3},{4},{5},{6}}=>{{1,3},{2},{4},{5},{6},{7}}=>3
[2,1,4,5,7,3,6]=>[1,6,3,4,7,5,2]=>{{1},{2,6},{3},{4},{5,7}}=>{{1,6},{2},{3,7},{4},{5}}=>6
[2,1,4,5,7,6,3]=>[1,7,3,4,6,5,2]=>{{1},{2,7},{3},{4},{5,6}}=>{{1,3},{2},{4},{5},{6,7}}=>3
[2,1,4,6,3,5,7]=>[1,5,3,6,4,7,2]=>{{1},{2,5},{3},{4,6,7}}=>{{1,5,7},{2},{3,6},{4}}=>7
[2,1,4,6,3,7,5]=>[1,5,3,7,4,6,2]=>{{1},{2,5},{3},{4,7},{6}}=>{{1,5},{2},{3,6},{4},{7}}=>5
[2,1,4,6,5,3,7]=>[1,6,3,5,4,7,2]=>{{1},{2,6,7},{3},{4,5}}=>{{1,3,7},{2},{4},{5,6}}=>7
[2,1,4,6,5,7,3]=>[1,7,3,5,4,6,2]=>{{1},{2,7},{3},{4,5},{6}}=>{{1,3},{2},{4},{5,6},{7}}=>3
[2,1,4,6,7,3,5]=>[1,6,3,7,4,5,2]=>{{1},{2,6},{3},{4,7},{5}}=>{{1,5},{2},{3,7},{4},{6}}=>5
[2,1,4,6,7,5,3]=>[1,7,3,6,4,5,2]=>{{1},{2,7},{3},{4,6},{5}}=>{{1,3},{2},{4},{5,7},{6}}=>3
[2,1,4,7,3,5,6]=>[1,5,3,6,7,4,2]=>{{1},{2,5,7},{3},{4,6}}=>{{1,3,6},{2},{4},{5,7}}=>6
[2,1,4,7,3,6,5]=>[1,5,3,7,6,4,2]=>{{1},{2,5,6},{3},{4,7}}=>{{1,5},{2},{3,6,7},{4}}=>5
[2,1,4,7,5,3,6]=>[1,6,3,5,7,4,2]=>{{1},{2,6},{3},{4,5,7}}=>{{1,5,6},{2},{3,7},{4}}=>6
[2,1,4,7,5,6,3]=>[1,7,3,5,6,4,2]=>{{1},{2,7},{3},{4,5,6}}=>{{1,3},{2},{4},{5,6,7}}=>3
[2,1,4,7,6,3,5]=>[1,6,3,7,5,4,2]=>{{1},{2,6},{3},{4,7},{5}}=>{{1,5},{2},{3,7},{4},{6}}=>5
[2,1,4,7,6,5,3]=>[1,7,3,6,5,4,2]=>{{1},{2,7},{3},{4,6},{5}}=>{{1,3},{2},{4},{5,7},{6}}=>3
[2,1,5,3,4,6,7]=>[1,4,5,3,6,7,2]=>{{1},{2,4},{3,5,6,7}}=>{{1,4,6,7},{2},{3,5}}=>7
[2,1,5,3,4,7,6]=>[1,4,5,3,7,6,2]=>{{1},{2,4},{3,5,7},{6}}=>{{1,4,6},{2},{3,5},{7}}=>6
[2,1,5,3,6,4,7]=>[1,4,6,3,5,7,2]=>{{1},{2,4},{3,6,7},{5}}=>{{1,4,7},{2},{3,5},{6}}=>7
[2,1,5,3,6,7,4]=>[1,4,7,3,5,6,2]=>{{1},{2,4},{3,7},{5},{6}}=>{{1,4},{2},{3,5},{6},{7}}=>4
[2,1,5,3,7,4,6]=>[1,4,6,3,7,5,2]=>{{1},{2,4},{3,6},{5,7}}=>{{1,6},{2},{3,5},{4,7}}=>6
[2,1,5,3,7,6,4]=>[1,4,7,3,6,5,2]=>{{1},{2,4},{3,7},{5,6}}=>{{1,4},{2},{3,5},{6,7}}=>4
[2,1,5,4,3,6,7]=>[1,5,4,3,6,7,2]=>{{1},{2,5,6,7},{3,4}}=>{{1,3,6,7},{2},{4,5}}=>7
[2,1,5,4,3,7,6]=>[1,5,4,3,7,6,2]=>{{1},{2,5,7},{3,4},{6}}=>{{1,3,6},{2},{4,5},{7}}=>6
[2,1,5,4,6,3,7]=>[1,6,4,3,5,7,2]=>{{1},{2,6,7},{3,4},{5}}=>{{1,3,7},{2},{4,5},{6}}=>7
[2,1,5,4,6,7,3]=>[1,7,4,3,5,6,2]=>{{1},{2,7},{3,4},{5},{6}}=>{{1,3},{2},{4,5},{6},{7}}=>3
[2,1,5,4,7,3,6]=>[1,6,4,3,7,5,2]=>{{1},{2,6},{3,4},{5,7}}=>{{1,6},{2},{3,7},{4,5}}=>6
[2,1,5,4,7,6,3]=>[1,7,4,3,6,5,2]=>{{1},{2,7},{3,4},{5,6}}=>{{1,3},{2},{4,5},{6,7}}=>3
[2,1,5,6,3,4,7]=>[1,5,6,3,4,7,2]=>{{1},{2,5},{3,6,7},{4}}=>{{1,4,7},{2},{3,6},{5}}=>7
[2,1,5,6,3,7,4]=>[1,5,7,3,4,6,2]=>{{1},{2,5},{3,7},{4},{6}}=>{{1,4},{2},{3,6},{5},{7}}=>4
[2,1,5,6,4,3,7]=>[1,6,5,3,4,7,2]=>{{1},{2,6,7},{3,5},{4}}=>{{1,3,7},{2},{4,6},{5}}=>7
[2,1,5,6,4,7,3]=>[1,7,5,3,4,6,2]=>{{1},{2,7},{3,5},{4},{6}}=>{{1,3},{2},{4,6},{5},{7}}=>3
[2,1,5,6,7,3,4]=>[1,6,7,3,4,5,2]=>{{1},{2,6},{3,7},{4},{5}}=>{{1,4},{2},{3,7},{5},{6}}=>4
[2,1,5,6,7,4,3]=>[1,7,6,3,4,5,2]=>{{1},{2,7},{3,6},{4},{5}}=>{{1,3},{2},{4,7},{5},{6}}=>3
[2,1,5,7,3,4,6]=>[1,5,6,3,7,4,2]=>{{1},{2,5,7},{3,6},{4}}=>{{1,3,6},{2},{4,7},{5}}=>6
[2,1,5,7,3,6,4]=>[1,5,7,3,6,4,2]=>{{1},{2,5,6},{3,7},{4}}=>{{1,4},{2},{3,6,7},{5}}=>4
[2,1,5,7,4,3,6]=>[1,6,5,3,7,4,2]=>{{1},{2,6},{3,5,7},{4}}=>{{1,4,6},{2},{3,7},{5}}=>6
[2,1,5,7,4,6,3]=>[1,7,5,3,6,4,2]=>{{1},{2,7},{3,5,6},{4}}=>{{1,3},{2},{4,6,7},{5}}=>3
[2,1,5,7,6,3,4]=>[1,6,7,3,5,4,2]=>{{1},{2,6},{3,7},{4},{5}}=>{{1,4},{2},{3,7},{5},{6}}=>4
[2,1,5,7,6,4,3]=>[1,7,6,3,5,4,2]=>{{1},{2,7},{3,6},{4},{5}}=>{{1,3},{2},{4,7},{5},{6}}=>3
[2,1,6,3,4,5,7]=>[1,4,5,6,3,7,2]=>{{1},{2,4,6,7},{3,5}}=>{{1,3,5,7},{2},{4,6}}=>7
[2,1,6,3,4,7,5]=>[1,4,5,7,3,6,2]=>{{1},{2,4,7},{3,5},{6}}=>{{1,3,5},{2},{4,6},{7}}=>5
[2,1,6,3,5,4,7]=>[1,4,6,5,3,7,2]=>{{1},{2,4,5},{3,6,7}}=>{{1,4,7},{2},{3,5,6}}=>7
[2,1,6,3,5,7,4]=>[1,4,7,5,3,6,2]=>{{1},{2,4,5},{3,7},{6}}=>{{1,4},{2},{3,5,6},{7}}=>4
[2,1,6,3,7,4,5]=>[1,4,6,7,3,5,2]=>{{1},{2,4,7},{3,6},{5}}=>{{1,3,5},{2},{4,7},{6}}=>5
[2,1,6,3,7,5,4]=>[1,4,7,6,3,5,2]=>{{1},{2,4,6},{3,7},{5}}=>{{1,4},{2},{3,5,7},{6}}=>4
[2,1,6,4,3,5,7]=>[1,5,4,6,3,7,2]=>{{1},{2,5},{3,4,6,7}}=>{{1,4,5,7},{2},{3,6}}=>7
[2,1,6,4,3,7,5]=>[1,5,4,7,3,6,2]=>{{1},{2,5},{3,4,7},{6}}=>{{1,4,5},{2},{3,6},{7}}=>5
[2,1,6,4,5,3,7]=>[1,6,4,5,3,7,2]=>{{1},{2,6,7},{3,4,5}}=>{{1,3,7},{2},{4,5,6}}=>7
[2,1,6,4,5,7,3]=>[1,7,4,5,3,6,2]=>{{1},{2,7},{3,4,5},{6}}=>{{1,3},{2},{4,5,6},{7}}=>3
[2,1,6,4,7,3,5]=>[1,6,4,7,3,5,2]=>{{1},{2,6},{3,4,7},{5}}=>{{1,4,5},{2},{3,7},{6}}=>5
[2,1,6,4,7,5,3]=>[1,7,4,6,3,5,2]=>{{1},{2,7},{3,4,6},{5}}=>{{1,3},{2},{4,5,7},{6}}=>3
[2,1,6,5,3,4,7]=>[1,5,6,4,3,7,2]=>{{1},{2,5},{3,6,7},{4}}=>{{1,4,7},{2},{3,6},{5}}=>7
[2,1,6,5,3,7,4]=>[1,5,7,4,3,6,2]=>{{1},{2,5},{3,7},{4},{6}}=>{{1,4},{2},{3,6},{5},{7}}=>4
[2,1,6,5,4,3,7]=>[1,6,5,4,3,7,2]=>{{1},{2,6,7},{3,5},{4}}=>{{1,3,7},{2},{4,6},{5}}=>7
[2,1,6,5,4,7,3]=>[1,7,5,4,3,6,2]=>{{1},{2,7},{3,5},{4},{6}}=>{{1,3},{2},{4,6},{5},{7}}=>3
[2,1,6,5,7,3,4]=>[1,6,7,4,3,5,2]=>{{1},{2,6},{3,7},{4},{5}}=>{{1,4},{2},{3,7},{5},{6}}=>4
[2,1,6,5,7,4,3]=>[1,7,6,4,3,5,2]=>{{1},{2,7},{3,6},{4},{5}}=>{{1,3},{2},{4,7},{5},{6}}=>3
[2,1,6,7,3,4,5]=>[1,5,6,7,3,4,2]=>{{1},{2,5},{3,6},{4,7}}=>{{1,5},{2},{3,6},{4,7}}=>5
[2,1,6,7,3,5,4]=>[1,5,7,6,3,4,2]=>{{1},{2,5},{3,7},{4,6}}=>{{1,4},{2},{3,6},{5,7}}=>4
[2,1,6,7,4,3,5]=>[1,6,5,7,3,4,2]=>{{1},{2,6},{3,5},{4,7}}=>{{1,5},{2},{3,7},{4,6}}=>5
[2,1,6,7,4,5,3]=>[1,7,5,6,3,4,2]=>{{1},{2,7},{3,5},{4,6}}=>{{1,3},{2},{4,6},{5,7}}=>3
[2,1,6,7,5,3,4]=>[1,6,7,5,3,4,2]=>{{1},{2,6},{3,7},{4,5}}=>{{1,4},{2},{3,7},{5,6}}=>4
[2,1,6,7,5,4,3]=>[1,7,6,5,3,4,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1,3},{2},{4,7},{5,6}}=>3
[2,1,7,3,4,5,6]=>[1,4,5,6,7,3,2]=>{{1},{2,4,6},{3,5,7}}=>{{1,4,6},{2},{3,5,7}}=>6
[2,1,7,3,4,6,5]=>[1,4,5,7,6,3,2]=>{{1},{2,4,7},{3,5,6}}=>{{1,3,5},{2},{4,6,7}}=>5
[2,1,7,3,5,4,6]=>[1,4,6,5,7,3,2]=>{{1},{2,4,5,7},{3,6}}=>{{1,3,5,6},{2},{4,7}}=>6
[2,1,7,3,5,6,4]=>[1,4,7,5,6,3,2]=>{{1},{2,4,5,6},{3,7}}=>{{1,4},{2},{3,5,6,7}}=>4
[2,1,7,3,6,4,5]=>[1,4,6,7,5,3,2]=>{{1},{2,4,7},{3,6},{5}}=>{{1,3,5},{2},{4,7},{6}}=>5
[2,1,7,3,6,5,4]=>[1,4,7,6,5,3,2]=>{{1},{2,4,6},{3,7},{5}}=>{{1,4},{2},{3,5,7},{6}}=>4
[2,1,7,4,3,5,6]=>[1,5,4,6,7,3,2]=>{{1},{2,5,7},{3,4,6}}=>{{1,3,6},{2},{4,5,7}}=>6
[2,1,7,4,3,6,5]=>[1,5,4,7,6,3,2]=>{{1},{2,5,6},{3,4,7}}=>{{1,4,5},{2},{3,6,7}}=>5
[2,1,7,4,5,3,6]=>[1,6,4,5,7,3,2]=>{{1},{2,6},{3,4,5,7}}=>{{1,4,5,6},{2},{3,7}}=>6
[2,1,7,4,5,6,3]=>[1,7,4,5,6,3,2]=>{{1},{2,7},{3,4,5,6}}=>{{1,3},{2},{4,5,6,7}}=>3
[2,1,7,4,6,3,5]=>[1,6,4,7,5,3,2]=>{{1},{2,6},{3,4,7},{5}}=>{{1,4,5},{2},{3,7},{6}}=>5
[2,1,7,4,6,5,3]=>[1,7,4,6,5,3,2]=>{{1},{2,7},{3,4,6},{5}}=>{{1,3},{2},{4,5,7},{6}}=>3
[2,1,7,5,3,4,6]=>[1,5,6,4,7,3,2]=>{{1},{2,5,7},{3,6},{4}}=>{{1,3,6},{2},{4,7},{5}}=>6
[2,1,7,5,3,6,4]=>[1,5,7,4,6,3,2]=>{{1},{2,5,6},{3,7},{4}}=>{{1,4},{2},{3,6,7},{5}}=>4
[2,1,7,5,4,3,6]=>[1,6,5,4,7,3,2]=>{{1},{2,6},{3,5,7},{4}}=>{{1,4,6},{2},{3,7},{5}}=>6
[2,1,7,5,4,6,3]=>[1,7,5,4,6,3,2]=>{{1},{2,7},{3,5,6},{4}}=>{{1,3},{2},{4,6,7},{5}}=>3
[2,1,7,5,6,3,4]=>[1,6,7,4,5,3,2]=>{{1},{2,6},{3,7},{4},{5}}=>{{1,4},{2},{3,7},{5},{6}}=>4
[2,1,7,5,6,4,3]=>[1,7,6,4,5,3,2]=>{{1},{2,7},{3,6},{4},{5}}=>{{1,3},{2},{4,7},{5},{6}}=>3
[2,1,7,6,3,4,5]=>[1,5,6,7,4,3,2]=>{{1},{2,5},{3,6},{4,7}}=>{{1,5},{2},{3,6},{4,7}}=>5
[2,1,7,6,3,5,4]=>[1,5,7,6,4,3,2]=>{{1},{2,5},{3,7},{4,6}}=>{{1,4},{2},{3,6},{5,7}}=>4
[2,1,7,6,4,3,5]=>[1,6,5,7,4,3,2]=>{{1},{2,6},{3,5},{4,7}}=>{{1,5},{2},{3,7},{4,6}}=>5
[2,1,7,6,4,5,3]=>[1,7,5,6,4,3,2]=>{{1},{2,7},{3,5},{4,6}}=>{{1,3},{2},{4,6},{5,7}}=>3
[2,1,7,6,5,3,4]=>[1,6,7,5,4,3,2]=>{{1},{2,6},{3,7},{4,5}}=>{{1,4},{2},{3,7},{5,6}}=>4
[2,1,7,6,5,4,3]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>{{1,3},{2},{4,7},{5,6}}=>3
[2,3,1,4,5,6,7]=>[1,2,4,5,6,7,3]=>{{1},{2},{3,4,5,6,7}}=>{{1,4,5,6,7},{2},{3}}=>7
[2,3,1,4,5,7,6]=>[1,2,4,5,7,6,3]=>{{1},{2},{3,4,5,7},{6}}=>{{1,4,5,6},{2},{3},{7}}=>6
[2,3,1,4,6,5,7]=>[1,2,4,6,5,7,3]=>{{1},{2},{3,4,6,7},{5}}=>{{1,4,5,7},{2},{3},{6}}=>7
[2,3,1,4,6,7,5]=>[1,2,4,7,5,6,3]=>{{1},{2},{3,4,7},{5},{6}}=>{{1,4,5},{2},{3},{6},{7}}=>5
[2,3,1,4,7,5,6]=>[1,2,4,6,7,5,3]=>{{1},{2},{3,4,6},{5,7}}=>{{1,6},{2},{3},{4,5,7}}=>6
[2,3,1,4,7,6,5]=>[1,2,4,7,6,5,3]=>{{1},{2},{3,4,7},{5,6}}=>{{1,4,5},{2},{3},{6,7}}=>5
[2,3,1,5,4,6,7]=>[1,2,5,4,6,7,3]=>{{1},{2},{3,5,6,7},{4}}=>{{1,4,6,7},{2},{3},{5}}=>7
[2,3,1,5,4,7,6]=>[1,2,5,4,7,6,3]=>{{1},{2},{3,5,7},{4},{6}}=>{{1,4,6},{2},{3},{5},{7}}=>6
[2,3,1,5,6,4,7]=>[1,2,6,4,5,7,3]=>{{1},{2},{3,6,7},{4},{5}}=>{{1,4,7},{2},{3},{5},{6}}=>7
[2,3,1,5,6,7,4]=>[1,2,7,4,5,6,3]=>{{1},{2},{3,7},{4},{5},{6}}=>{{1,4},{2},{3},{5},{6},{7}}=>4
[2,3,1,5,7,4,6]=>[1,2,6,4,7,5,3]=>{{1},{2},{3,6},{4},{5,7}}=>{{1,6},{2},{3},{4,7},{5}}=>6
[2,3,1,5,7,6,4]=>[1,2,7,4,6,5,3]=>{{1},{2},{3,7},{4},{5,6}}=>{{1,4},{2},{3},{5},{6,7}}=>4
[2,3,1,6,4,5,7]=>[1,2,5,6,4,7,3]=>{{1},{2},{3,5},{4,6,7}}=>{{1,5,7},{2},{3},{4,6}}=>7
[2,3,1,6,4,7,5]=>[1,2,5,7,4,6,3]=>{{1},{2},{3,5},{4,7},{6}}=>{{1,5},{2},{3},{4,6},{7}}=>5
[2,3,1,6,5,4,7]=>[1,2,6,5,4,7,3]=>{{1},{2},{3,6,7},{4,5}}=>{{1,4,7},{2},{3},{5,6}}=>7
[2,3,1,6,5,7,4]=>[1,2,7,5,4,6,3]=>{{1},{2},{3,7},{4,5},{6}}=>{{1,4},{2},{3},{5,6},{7}}=>4
[2,3,1,6,7,4,5]=>[1,2,6,7,4,5,3]=>{{1},{2},{3,6},{4,7},{5}}=>{{1,5},{2},{3},{4,7},{6}}=>5
[2,3,1,6,7,5,4]=>[1,2,7,6,4,5,3]=>{{1},{2},{3,7},{4,6},{5}}=>{{1,4},{2},{3},{5,7},{6}}=>4
[2,3,1,7,4,5,6]=>[1,2,5,6,7,4,3]=>{{1},{2},{3,5,7},{4,6}}=>{{1,4,6},{2},{3},{5,7}}=>6
[2,3,1,7,4,6,5]=>[1,2,5,7,6,4,3]=>{{1},{2},{3,5,6},{4,7}}=>{{1,5},{2},{3},{4,6,7}}=>5
[2,3,1,7,5,4,6]=>[1,2,6,5,7,4,3]=>{{1},{2},{3,6},{4,5,7}}=>{{1,5,6},{2},{3},{4,7}}=>6
[2,3,1,7,5,6,4]=>[1,2,7,5,6,4,3]=>{{1},{2},{3,7},{4,5,6}}=>{{1,4},{2},{3},{5,6,7}}=>4
[2,3,1,7,6,4,5]=>[1,2,6,7,5,4,3]=>{{1},{2},{3,6},{4,7},{5}}=>{{1,5},{2},{3},{4,7},{6}}=>5
[2,3,1,7,6,5,4]=>[1,2,7,6,5,4,3]=>{{1},{2},{3,7},{4,6},{5}}=>{{1,4},{2},{3},{5,7},{6}}=>4
[2,3,4,1,5,6,7]=>[1,2,3,5,6,7,4]=>{{1},{2},{3},{4,5,6,7}}=>{{1,5,6,7},{2},{3},{4}}=>7
[2,3,4,1,5,7,6]=>[1,2,3,5,7,6,4]=>{{1},{2},{3},{4,5,7},{6}}=>{{1,5,6},{2},{3},{4},{7}}=>6
[2,3,4,1,6,5,7]=>[1,2,3,6,5,7,4]=>{{1},{2},{3},{4,6,7},{5}}=>{{1,5,7},{2},{3},{4},{6}}=>7
[2,3,4,1,6,7,5]=>[1,2,3,7,5,6,4]=>{{1},{2},{3},{4,7},{5},{6}}=>{{1,5},{2},{3},{4},{6},{7}}=>5
[2,3,4,1,7,5,6]=>[1,2,3,6,7,5,4]=>{{1},{2},{3},{4,6},{5,7}}=>{{1,6},{2},{3},{4},{5,7}}=>6
[2,3,4,1,7,6,5]=>[1,2,3,7,6,5,4]=>{{1},{2},{3},{4,7},{5,6}}=>{{1,5},{2},{3},{4},{6,7}}=>5
[2,3,4,5,1,6,7]=>[1,2,3,4,6,7,5]=>{{1},{2},{3},{4},{5,6,7}}=>{{1,6,7},{2},{3},{4},{5}}=>7
[2,3,4,5,1,7,6]=>[1,2,3,4,7,6,5]=>{{1},{2},{3},{4},{5,7},{6}}=>{{1,6},{2},{3},{4},{5},{7}}=>6
[2,3,4,5,6,1,7]=>[1,2,3,4,5,7,6]=>{{1},{2},{3},{4},{5},{6,7}}=>{{1,7},{2},{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}}=>{{1},{2},{3},{4},{5},{6},{7}}=>1
[2,3,4,5,7,1,6]=>[1,2,3,4,7,5,6]=>{{1},{2},{3},{4},{5,7},{6}}=>{{1,6},{2},{3},{4},{5},{7}}=>6
[2,3,4,5,7,6,1]=>[1,2,3,4,6,5,7]=>{{1},{2},{3},{4},{5,6},{7}}=>{{1},{2},{3},{4},{5},{6,7}}=>1
[2,3,4,6,1,5,7]=>[1,2,3,6,4,7,5]=>{{1},{2},{3},{4,6,7},{5}}=>{{1,5,7},{2},{3},{4},{6}}=>7
[2,3,4,6,1,7,5]=>[1,2,3,7,4,6,5]=>{{1},{2},{3},{4,7},{5},{6}}=>{{1,5},{2},{3},{4},{6},{7}}=>5
[2,3,4,6,5,1,7]=>[1,2,3,5,4,7,6]=>{{1},{2},{3},{4,5},{6,7}}=>{{1,7},{2},{3},{4},{5,6}}=>7
[2,3,4,6,5,7,1]=>[1,2,3,5,4,6,7]=>{{1},{2},{3},{4,5},{6},{7}}=>{{1},{2},{3},{4},{5,6},{7}}=>1
[2,3,4,6,7,1,5]=>[1,2,3,7,4,5,6]=>{{1},{2},{3},{4,7},{5},{6}}=>{{1,5},{2},{3},{4},{6},{7}}=>5
[2,3,4,6,7,5,1]=>[1,2,3,6,4,5,7]=>{{1},{2},{3},{4,6},{5},{7}}=>{{1},{2},{3},{4},{5,7},{6}}=>1
[2,3,4,7,1,5,6]=>[1,2,3,6,7,4,5]=>{{1},{2},{3},{4,6},{5,7}}=>{{1,6},{2},{3},{4},{5,7}}=>6
[2,3,4,7,1,6,5]=>[1,2,3,7,6,4,5]=>{{1},{2},{3},{4,7},{5,6}}=>{{1,5},{2},{3},{4},{6,7}}=>5
[2,3,4,7,5,1,6]=>[1,2,3,5,7,4,6]=>{{1},{2},{3},{4,5,7},{6}}=>{{1,5,6},{2},{3},{4},{7}}=>6
[2,3,4,7,5,6,1]=>[1,2,3,5,6,4,7]=>{{1},{2},{3},{4,5,6},{7}}=>{{1},{2},{3},{4},{5,6,7}}=>1
[2,3,4,7,6,1,5]=>[1,2,3,7,5,4,6]=>{{1},{2},{3},{4,7},{5},{6}}=>{{1,5},{2},{3},{4},{6},{7}}=>5
[2,3,4,7,6,5,1]=>[1,2,3,6,5,4,7]=>{{1},{2},{3},{4,6},{5},{7}}=>{{1},{2},{3},{4},{5,7},{6}}=>1
[2,3,5,1,4,6,7]=>[1,2,5,3,6,7,4]=>{{1},{2},{3,5,6,7},{4}}=>{{1,4,6,7},{2},{3},{5}}=>7
[2,3,5,1,4,7,6]=>[1,2,5,3,7,6,4]=>{{1},{2},{3,5,7},{4},{6}}=>{{1,4,6},{2},{3},{5},{7}}=>6
[2,3,5,1,6,4,7]=>[1,2,6,3,5,7,4]=>{{1},{2},{3,6,7},{4},{5}}=>{{1,4,7},{2},{3},{5},{6}}=>7
[2,3,5,1,6,7,4]=>[1,2,7,3,5,6,4]=>{{1},{2},{3,7},{4},{5},{6}}=>{{1,4},{2},{3},{5},{6},{7}}=>4
[2,3,5,1,7,4,6]=>[1,2,6,3,7,5,4]=>{{1},{2},{3,6},{4},{5,7}}=>{{1,6},{2},{3},{4,7},{5}}=>6
[2,3,5,1,7,6,4]=>[1,2,7,3,6,5,4]=>{{1},{2},{3,7},{4},{5,6}}=>{{1,4},{2},{3},{5},{6,7}}=>4
[2,3,5,4,1,6,7]=>[1,2,4,3,6,7,5]=>{{1},{2},{3,4},{5,6,7}}=>{{1,6,7},{2},{3},{4,5}}=>7
[2,3,5,4,1,7,6]=>[1,2,4,3,7,6,5]=>{{1},{2},{3,4},{5,7},{6}}=>{{1,6},{2},{3},{4,5},{7}}=>6
[2,3,5,4,6,1,7]=>[1,2,4,3,5,7,6]=>{{1},{2},{3,4},{5},{6,7}}=>{{1,7},{2},{3},{4,5},{6}}=>7
[2,3,5,4,6,7,1]=>[1,2,4,3,5,6,7]=>{{1},{2},{3,4},{5},{6},{7}}=>{{1},{2},{3},{4,5},{6},{7}}=>1
[2,3,5,4,7,1,6]=>[1,2,4,3,7,5,6]=>{{1},{2},{3,4},{5,7},{6}}=>{{1,6},{2},{3},{4,5},{7}}=>6
[2,3,5,4,7,6,1]=>[1,2,4,3,6,5,7]=>{{1},{2},{3,4},{5,6},{7}}=>{{1},{2},{3},{4,5},{6,7}}=>1
[2,3,5,6,1,4,7]=>[1,2,6,3,4,7,5]=>{{1},{2},{3,6,7},{4},{5}}=>{{1,4,7},{2},{3},{5},{6}}=>7
[2,3,5,6,1,7,4]=>[1,2,7,3,4,6,5]=>{{1},{2},{3,7},{4},{5},{6}}=>{{1,4},{2},{3},{5},{6},{7}}=>4
[2,3,5,6,4,1,7]=>[1,2,5,3,4,7,6]=>{{1},{2},{3,5},{4},{6,7}}=>{{1,7},{2},{3},{4,6},{5}}=>7
[2,3,5,6,4,7,1]=>[1,2,5,3,4,6,7]=>{{1},{2},{3,5},{4},{6},{7}}=>{{1},{2},{3},{4,6},{5},{7}}=>1
[2,3,5,6,7,1,4]=>[1,2,7,3,4,5,6]=>{{1},{2},{3,7},{4},{5},{6}}=>{{1,4},{2},{3},{5},{6},{7}}=>4
[2,3,5,6,7,4,1]=>[1,2,6,3,4,5,7]=>{{1},{2},{3,6},{4},{5},{7}}=>{{1},{2},{3},{4,7},{5},{6}}=>1
[2,3,5,7,1,4,6]=>[1,2,6,3,7,4,5]=>{{1},{2},{3,6},{4},{5,7}}=>{{1,6},{2},{3},{4,7},{5}}=>6
[2,3,5,7,1,6,4]=>[1,2,7,3,6,4,5]=>{{1},{2},{3,7},{4},{5,6}}=>{{1,4},{2},{3},{5},{6,7}}=>4
[2,3,5,7,4,1,6]=>[1,2,5,3,7,4,6]=>{{1},{2},{3,5,7},{4},{6}}=>{{1,4,6},{2},{3},{5},{7}}=>6
[2,3,5,7,4,6,1]=>[1,2,5,3,6,4,7]=>{{1},{2},{3,5,6},{4},{7}}=>{{1},{2},{3},{4,6,7},{5}}=>1
[2,3,5,7,6,1,4]=>[1,2,7,3,5,4,6]=>{{1},{2},{3,7},{4},{5},{6}}=>{{1,4},{2},{3},{5},{6},{7}}=>4
[2,3,5,7,6,4,1]=>[1,2,6,3,5,4,7]=>{{1},{2},{3,6},{4},{5},{7}}=>{{1},{2},{3},{4,7},{5},{6}}=>1
[2,3,6,1,4,5,7]=>[1,2,5,6,3,7,4]=>{{1},{2},{3,5},{4,6,7}}=>{{1,5,7},{2},{3},{4,6}}=>7
[2,3,6,1,4,7,5]=>[1,2,5,7,3,6,4]=>{{1},{2},{3,5},{4,7},{6}}=>{{1,5},{2},{3},{4,6},{7}}=>5
[2,3,6,1,5,4,7]=>[1,2,6,5,3,7,4]=>{{1},{2},{3,6,7},{4,5}}=>{{1,4,7},{2},{3},{5,6}}=>7
[2,3,6,1,5,7,4]=>[1,2,7,5,3,6,4]=>{{1},{2},{3,7},{4,5},{6}}=>{{1,4},{2},{3},{5,6},{7}}=>4
[2,3,6,1,7,4,5]=>[1,2,6,7,3,5,4]=>{{1},{2},{3,6},{4,7},{5}}=>{{1,5},{2},{3},{4,7},{6}}=>5
[2,3,6,1,7,5,4]=>[1,2,7,6,3,5,4]=>{{1},{2},{3,7},{4,6},{5}}=>{{1,4},{2},{3},{5,7},{6}}=>4
[2,3,6,4,1,5,7]=>[1,2,4,6,3,7,5]=>{{1},{2},{3,4,6,7},{5}}=>{{1,4,5,7},{2},{3},{6}}=>7
[2,3,6,4,1,7,5]=>[1,2,4,7,3,6,5]=>{{1},{2},{3,4,7},{5},{6}}=>{{1,4,5},{2},{3},{6},{7}}=>5
[2,3,6,4,5,1,7]=>[1,2,4,5,3,7,6]=>{{1},{2},{3,4,5},{6,7}}=>{{1,7},{2},{3},{4,5,6}}=>7
[2,3,6,4,5,7,1]=>[1,2,4,5,3,6,7]=>{{1},{2},{3,4,5},{6},{7}}=>{{1},{2},{3},{4,5,6},{7}}=>1
[2,3,6,4,7,1,5]=>[1,2,4,7,3,5,6]=>{{1},{2},{3,4,7},{5},{6}}=>{{1,4,5},{2},{3},{6},{7}}=>5
[2,3,6,4,7,5,1]=>[1,2,4,6,3,5,7]=>{{1},{2},{3,4,6},{5},{7}}=>{{1},{2},{3},{4,5,7},{6}}=>1
[2,3,6,5,1,4,7]=>[1,2,6,4,3,7,5]=>{{1},{2},{3,6,7},{4},{5}}=>{{1,4,7},{2},{3},{5},{6}}=>7
[2,3,6,5,1,7,4]=>[1,2,7,4,3,6,5]=>{{1},{2},{3,7},{4},{5},{6}}=>{{1,4},{2},{3},{5},{6},{7}}=>4
[2,3,6,5,4,1,7]=>[1,2,5,4,3,7,6]=>{{1},{2},{3,5},{4},{6,7}}=>{{1,7},{2},{3},{4,6},{5}}=>7
[2,3,6,5,4,7,1]=>[1,2,5,4,3,6,7]=>{{1},{2},{3,5},{4},{6},{7}}=>{{1},{2},{3},{4,6},{5},{7}}=>1
[2,3,6,5,7,1,4]=>[1,2,7,4,3,5,6]=>{{1},{2},{3,7},{4},{5},{6}}=>{{1,4},{2},{3},{5},{6},{7}}=>4
[2,3,6,5,7,4,1]=>[1,2,6,4,3,5,7]=>{{1},{2},{3,6},{4},{5},{7}}=>{{1},{2},{3},{4,7},{5},{6}}=>1
[2,3,6,7,1,4,5]=>[1,2,6,7,3,4,5]=>{{1},{2},{3,6},{4,7},{5}}=>{{1,5},{2},{3},{4,7},{6}}=>5
[2,3,6,7,1,5,4]=>[1,2,7,6,3,4,5]=>{{1},{2},{3,7},{4,6},{5}}=>{{1,4},{2},{3},{5,7},{6}}=>4
[2,3,6,7,4,1,5]=>[1,2,5,7,3,4,6]=>{{1},{2},{3,5},{4,7},{6}}=>{{1,5},{2},{3},{4,6},{7}}=>5
[2,3,6,7,4,5,1]=>[1,2,5,6,3,4,7]=>{{1},{2},{3,5},{4,6},{7}}=>{{1},{2},{3},{4,6},{5,7}}=>1
[2,3,6,7,5,1,4]=>[1,2,7,5,3,4,6]=>{{1},{2},{3,7},{4,5},{6}}=>{{1,4},{2},{3},{5,6},{7}}=>4
[2,3,6,7,5,4,1]=>[1,2,6,5,3,4,7]=>{{1},{2},{3,6},{4,5},{7}}=>{{1},{2},{3},{4,7},{5,6}}=>1
[2,3,7,1,4,5,6]=>[1,2,5,6,7,3,4]=>{{1},{2},{3,5,7},{4,6}}=>{{1,4,6},{2},{3},{5,7}}=>6
[2,3,7,1,4,6,5]=>[1,2,5,7,6,3,4]=>{{1},{2},{3,5,6},{4,7}}=>{{1,5},{2},{3},{4,6,7}}=>5
[2,3,7,1,5,4,6]=>[1,2,6,5,7,3,4]=>{{1},{2},{3,6},{4,5,7}}=>{{1,5,6},{2},{3},{4,7}}=>6
[2,3,7,1,5,6,4]=>[1,2,7,5,6,3,4]=>{{1},{2},{3,7},{4,5,6}}=>{{1,4},{2},{3},{5,6,7}}=>4
[2,3,7,1,6,4,5]=>[1,2,6,7,5,3,4]=>{{1},{2},{3,6},{4,7},{5}}=>{{1,5},{2},{3},{4,7},{6}}=>5
[2,3,7,1,6,5,4]=>[1,2,7,6,5,3,4]=>{{1},{2},{3,7},{4,6},{5}}=>{{1,4},{2},{3},{5,7},{6}}=>4
[2,3,7,4,1,5,6]=>[1,2,4,6,7,3,5]=>{{1},{2},{3,4,6},{5,7}}=>{{1,6},{2},{3},{4,5,7}}=>6
[2,3,7,4,1,6,5]=>[1,2,4,7,6,3,5]=>{{1},{2},{3,4,7},{5,6}}=>{{1,4,5},{2},{3},{6,7}}=>5
[2,3,7,4,5,1,6]=>[1,2,4,5,7,3,6]=>{{1},{2},{3,4,5,7},{6}}=>{{1,4,5,6},{2},{3},{7}}=>6
[2,3,7,4,5,6,1]=>[1,2,4,5,6,3,7]=>{{1},{2},{3,4,5,6},{7}}=>{{1},{2},{3},{4,5,6,7}}=>1
[2,3,7,4,6,1,5]=>[1,2,4,7,5,3,6]=>{{1},{2},{3,4,7},{5},{6}}=>{{1,4,5},{2},{3},{6},{7}}=>5
[2,3,7,4,6,5,1]=>[1,2,4,6,5,3,7]=>{{1},{2},{3,4,6},{5},{7}}=>{{1},{2},{3},{4,5,7},{6}}=>1
[2,3,7,5,1,4,6]=>[1,2,6,4,7,3,5]=>{{1},{2},{3,6},{4},{5,7}}=>{{1,6},{2},{3},{4,7},{5}}=>6
[2,3,7,5,1,6,4]=>[1,2,7,4,6,3,5]=>{{1},{2},{3,7},{4},{5,6}}=>{{1,4},{2},{3},{5},{6,7}}=>4
[2,3,7,5,4,1,6]=>[1,2,5,4,7,3,6]=>{{1},{2},{3,5,7},{4},{6}}=>{{1,4,6},{2},{3},{5},{7}}=>6
[2,3,7,5,4,6,1]=>[1,2,5,4,6,3,7]=>{{1},{2},{3,5,6},{4},{7}}=>{{1},{2},{3},{4,6,7},{5}}=>1
[2,3,7,5,6,1,4]=>[1,2,7,4,5,3,6]=>{{1},{2},{3,7},{4},{5},{6}}=>{{1,4},{2},{3},{5},{6},{7}}=>4
[2,3,7,5,6,4,1]=>[1,2,6,4,5,3,7]=>{{1},{2},{3,6},{4},{5},{7}}=>{{1},{2},{3},{4,7},{5},{6}}=>1
[2,3,7,6,1,4,5]=>[1,2,6,7,4,3,5]=>{{1},{2},{3,6},{4,7},{5}}=>{{1,5},{2},{3},{4,7},{6}}=>5
[2,3,7,6,1,5,4]=>[1,2,7,6,4,3,5]=>{{1},{2},{3,7},{4,6},{5}}=>{{1,4},{2},{3},{5,7},{6}}=>4
[2,3,7,6,4,1,5]=>[1,2,5,7,4,3,6]=>{{1},{2},{3,5},{4,7},{6}}=>{{1,5},{2},{3},{4,6},{7}}=>5
[2,3,7,6,4,5,1]=>[1,2,5,6,4,3,7]=>{{1},{2},{3,5},{4,6},{7}}=>{{1},{2},{3},{4,6},{5,7}}=>1
[2,3,7,6,5,1,4]=>[1,2,7,5,4,3,6]=>{{1},{2},{3,7},{4,5},{6}}=>{{1,4},{2},{3},{5,6},{7}}=>4
[2,3,7,6,5,4,1]=>[1,2,6,5,4,3,7]=>{{1},{2},{3,6},{4,5},{7}}=>{{1},{2},{3},{4,7},{5,6}}=>1
[2,4,1,3,5,6,7]=>[1,4,2,5,6,7,3]=>{{1},{2,4,5,6,7},{3}}=>{{1,3,5,6,7},{2},{4}}=>7
[2,4,1,3,5,7,6]=>[1,4,2,5,7,6,3]=>{{1},{2,4,5,7},{3},{6}}=>{{1,3,5,6},{2},{4},{7}}=>6
[2,4,1,3,6,5,7]=>[1,4,2,6,5,7,3]=>{{1},{2,4,6,7},{3},{5}}=>{{1,3,5,7},{2},{4},{6}}=>7
[2,4,1,3,6,7,5]=>[1,4,2,7,5,6,3]=>{{1},{2,4,7},{3},{5},{6}}=>{{1,3,5},{2},{4},{6},{7}}=>5
[2,4,1,3,7,5,6]=>[1,4,2,6,7,5,3]=>{{1},{2,4,6},{3},{5,7}}=>{{1,6},{2},{3,5,7},{4}}=>6
[2,4,1,3,7,6,5]=>[1,4,2,7,6,5,3]=>{{1},{2,4,7},{3},{5,6}}=>{{1,3,5},{2},{4},{6,7}}=>5
[2,4,1,5,3,6,7]=>[1,5,2,4,6,7,3]=>{{1},{2,5,6,7},{3},{4}}=>{{1,3,6,7},{2},{4},{5}}=>7
[2,4,1,5,3,7,6]=>[1,5,2,4,7,6,3]=>{{1},{2,5,7},{3},{4},{6}}=>{{1,3,6},{2},{4},{5},{7}}=>6
[2,4,1,5,6,3,7]=>[1,6,2,4,5,7,3]=>{{1},{2,6,7},{3},{4},{5}}=>{{1,3,7},{2},{4},{5},{6}}=>7
[2,4,1,5,6,7,3]=>[1,7,2,4,5,6,3]=>{{1},{2,7},{3},{4},{5},{6}}=>{{1,3},{2},{4},{5},{6},{7}}=>3
[2,4,1,5,7,3,6]=>[1,6,2,4,7,5,3]=>{{1},{2,6},{3},{4},{5,7}}=>{{1,6},{2},{3,7},{4},{5}}=>6
[2,4,1,5,7,6,3]=>[1,7,2,4,6,5,3]=>{{1},{2,7},{3},{4},{5,6}}=>{{1,3},{2},{4},{5},{6,7}}=>3
[2,4,1,6,3,5,7]=>[1,5,2,6,4,7,3]=>{{1},{2,5},{3},{4,6,7}}=>{{1,5,7},{2},{3,6},{4}}=>7
[2,4,1,6,3,7,5]=>[1,5,2,7,4,6,3]=>{{1},{2,5},{3},{4,7},{6}}=>{{1,5},{2},{3,6},{4},{7}}=>5
[2,4,1,6,5,3,7]=>[1,6,2,5,4,7,3]=>{{1},{2,6,7},{3},{4,5}}=>{{1,3,7},{2},{4},{5,6}}=>7
[2,4,1,6,5,7,3]=>[1,7,2,5,4,6,3]=>{{1},{2,7},{3},{4,5},{6}}=>{{1,3},{2},{4},{5,6},{7}}=>3
[2,4,1,6,7,3,5]=>[1,6,2,7,4,5,3]=>{{1},{2,6},{3},{4,7},{5}}=>{{1,5},{2},{3,7},{4},{6}}=>5
[2,4,1,6,7,5,3]=>[1,7,2,6,4,5,3]=>{{1},{2,7},{3},{4,6},{5}}=>{{1,3},{2},{4},{5,7},{6}}=>3
[2,4,1,7,3,5,6]=>[1,5,2,6,7,4,3]=>{{1},{2,5,7},{3},{4,6}}=>{{1,3,6},{2},{4},{5,7}}=>6
[2,4,1,7,3,6,5]=>[1,5,2,7,6,4,3]=>{{1},{2,5,6},{3},{4,7}}=>{{1,5},{2},{3,6,7},{4}}=>5
[2,4,1,7,5,3,6]=>[1,6,2,5,7,4,3]=>{{1},{2,6},{3},{4,5,7}}=>{{1,5,6},{2},{3,7},{4}}=>6
[2,4,1,7,5,6,3]=>[1,7,2,5,6,4,3]=>{{1},{2,7},{3},{4,5,6}}=>{{1,3},{2},{4},{5,6,7}}=>3
[2,4,1,7,6,3,5]=>[1,6,2,7,5,4,3]=>{{1},{2,6},{3},{4,7},{5}}=>{{1,5},{2},{3,7},{4},{6}}=>5
[2,4,1,7,6,5,3]=>[1,7,2,6,5,4,3]=>{{1},{2,7},{3},{4,6},{5}}=>{{1,3},{2},{4},{5,7},{6}}=>3
[2,4,3,1,5,6,7]=>[1,3,2,5,6,7,4]=>{{1},{2,3},{4,5,6,7}}=>{{1,5,6,7},{2},{3,4}}=>7
[2,4,3,1,5,7,6]=>[1,3,2,5,7,6,4]=>{{1},{2,3},{4,5,7},{6}}=>{{1,5,6},{2},{3,4},{7}}=>6
[2,4,3,1,6,5,7]=>[1,3,2,6,5,7,4]=>{{1},{2,3},{4,6,7},{5}}=>{{1,5,7},{2},{3,4},{6}}=>7
[2,4,3,1,6,7,5]=>[1,3,2,7,5,6,4]=>{{1},{2,3},{4,7},{5},{6}}=>{{1,5},{2},{3,4},{6},{7}}=>5
[2,4,3,1,7,5,6]=>[1,3,2,6,7,5,4]=>{{1},{2,3},{4,6},{5,7}}=>{{1,6},{2},{3,4},{5,7}}=>6
[2,4,3,1,7,6,5]=>[1,3,2,7,6,5,4]=>{{1},{2,3},{4,7},{5,6}}=>{{1,5},{2},{3,4},{6,7}}=>5
[2,4,3,5,1,6,7]=>[1,3,2,4,6,7,5]=>{{1},{2,3},{4},{5,6,7}}=>{{1,6,7},{2},{3,4},{5}}=>7
[2,4,3,5,1,7,6]=>[1,3,2,4,7,6,5]=>{{1},{2,3},{4},{5,7},{6}}=>{{1,6},{2},{3,4},{5},{7}}=>6
[2,4,3,5,6,1,7]=>[1,3,2,4,5,7,6]=>{{1},{2,3},{4},{5},{6,7}}=>{{1,7},{2},{3,4},{5},{6}}=>7
[2,4,3,5,6,7,1]=>[1,3,2,4,5,6,7]=>{{1},{2,3},{4},{5},{6},{7}}=>{{1},{2},{3,4},{5},{6},{7}}=>1
[2,4,3,5,7,1,6]=>[1,3,2,4,7,5,6]=>{{1},{2,3},{4},{5,7},{6}}=>{{1,6},{2},{3,4},{5},{7}}=>6
[2,4,3,5,7,6,1]=>[1,3,2,4,6,5,7]=>{{1},{2,3},{4},{5,6},{7}}=>{{1},{2},{3,4},{5},{6,7}}=>1
[2,4,3,6,1,5,7]=>[1,3,2,6,4,7,5]=>{{1},{2,3},{4,6,7},{5}}=>{{1,5,7},{2},{3,4},{6}}=>7
[2,4,3,6,1,7,5]=>[1,3,2,7,4,6,5]=>{{1},{2,3},{4,7},{5},{6}}=>{{1,5},{2},{3,4},{6},{7}}=>5
[2,4,3,6,5,1,7]=>[1,3,2,5,4,7,6]=>{{1},{2,3},{4,5},{6,7}}=>{{1,7},{2},{3,4},{5,6}}=>7
[2,4,3,6,5,7,1]=>[1,3,2,5,4,6,7]=>{{1},{2,3},{4,5},{6},{7}}=>{{1},{2},{3,4},{5,6},{7}}=>1
[2,4,3,6,7,1,5]=>[1,3,2,7,4,5,6]=>{{1},{2,3},{4,7},{5},{6}}=>{{1,5},{2},{3,4},{6},{7}}=>5
[2,4,3,6,7,5,1]=>[1,3,2,6,4,5,7]=>{{1},{2,3},{4,6},{5},{7}}=>{{1},{2},{3,4},{5,7},{6}}=>1
[2,4,3,7,1,5,6]=>[1,3,2,6,7,4,5]=>{{1},{2,3},{4,6},{5,7}}=>{{1,6},{2},{3,4},{5,7}}=>6
[2,4,3,7,1,6,5]=>[1,3,2,7,6,4,5]=>{{1},{2,3},{4,7},{5,6}}=>{{1,5},{2},{3,4},{6,7}}=>5
[2,4,3,7,5,1,6]=>[1,3,2,5,7,4,6]=>{{1},{2,3},{4,5,7},{6}}=>{{1,5,6},{2},{3,4},{7}}=>6
[2,4,3,7,5,6,1]=>[1,3,2,5,6,4,7]=>{{1},{2,3},{4,5,6},{7}}=>{{1},{2},{3,4},{5,6,7}}=>1
[2,4,3,7,6,1,5]=>[1,3,2,7,5,4,6]=>{{1},{2,3},{4,7},{5},{6}}=>{{1,5},{2},{3,4},{6},{7}}=>5
[2,4,3,7,6,5,1]=>[1,3,2,6,5,4,7]=>{{1},{2,3},{4,6},{5},{7}}=>{{1},{2},{3,4},{5,7},{6}}=>1
[2,4,5,1,3,6,7]=>[1,5,2,3,6,7,4]=>{{1},{2,5,6,7},{3},{4}}=>{{1,3,6,7},{2},{4},{5}}=>7
[2,4,5,1,3,7,6]=>[1,5,2,3,7,6,4]=>{{1},{2,5,7},{3},{4},{6}}=>{{1,3,6},{2},{4},{5},{7}}=>6
[2,4,5,1,6,3,7]=>[1,6,2,3,5,7,4]=>{{1},{2,6,7},{3},{4},{5}}=>{{1,3,7},{2},{4},{5},{6}}=>7
[2,4,5,1,6,7,3]=>[1,7,2,3,5,6,4]=>{{1},{2,7},{3},{4},{5},{6}}=>{{1,3},{2},{4},{5},{6},{7}}=>3
[2,4,5,1,7,3,6]=>[1,6,2,3,7,5,4]=>{{1},{2,6},{3},{4},{5,7}}=>{{1,6},{2},{3,7},{4},{5}}=>6
[2,4,5,1,7,6,3]=>[1,7,2,3,6,5,4]=>{{1},{2,7},{3},{4},{5,6}}=>{{1,3},{2},{4},{5},{6,7}}=>3
[2,4,5,3,1,6,7]=>[1,4,2,3,6,7,5]=>{{1},{2,4},{3},{5,6,7}}=>{{1,6,7},{2},{3,5},{4}}=>7
[2,4,5,3,1,7,6]=>[1,4,2,3,7,6,5]=>{{1},{2,4},{3},{5,7},{6}}=>{{1,6},{2},{3,5},{4},{7}}=>6
[2,4,5,3,6,1,7]=>[1,4,2,3,5,7,6]=>{{1},{2,4},{3},{5},{6,7}}=>{{1,7},{2},{3,5},{4},{6}}=>7
[2,4,5,3,6,7,1]=>[1,4,2,3,5,6,7]=>{{1},{2,4},{3},{5},{6},{7}}=>{{1},{2},{3,5},{4},{6},{7}}=>1
[2,4,5,3,7,1,6]=>[1,4,2,3,7,5,6]=>{{1},{2,4},{3},{5,7},{6}}=>{{1,6},{2},{3,5},{4},{7}}=>6
[2,4,5,3,7,6,1]=>[1,4,2,3,6,5,7]=>{{1},{2,4},{3},{5,6},{7}}=>{{1},{2},{3,5},{4},{6,7}}=>1
[2,4,5,6,1,3,7]=>[1,6,2,3,4,7,5]=>{{1},{2,6,7},{3},{4},{5}}=>{{1,3,7},{2},{4},{5},{6}}=>7
[2,4,5,6,1,7,3]=>[1,7,2,3,4,6,5]=>{{1},{2,7},{3},{4},{5},{6}}=>{{1,3},{2},{4},{5},{6},{7}}=>3
[2,4,5,6,3,1,7]=>[1,5,2,3,4,7,6]=>{{1},{2,5},{3},{4},{6,7}}=>{{1,7},{2},{3,6},{4},{5}}=>7
[2,4,5,6,3,7,1]=>[1,5,2,3,4,6,7]=>{{1},{2,5},{3},{4},{6},{7}}=>{{1},{2},{3,6},{4},{5},{7}}=>1
[2,4,5,6,7,1,3]=>[1,7,2,3,4,5,6]=>{{1},{2,7},{3},{4},{5},{6}}=>{{1,3},{2},{4},{5},{6},{7}}=>3
[2,4,5,6,7,3,1]=>[1,6,2,3,4,5,7]=>{{1},{2,6},{3},{4},{5},{7}}=>{{1},{2},{3,7},{4},{5},{6}}=>1
[2,4,5,7,1,3,6]=>[1,6,2,3,7,4,5]=>{{1},{2,6},{3},{4},{5,7}}=>{{1,6},{2},{3,7},{4},{5}}=>6
[2,4,5,7,1,6,3]=>[1,7,2,3,6,4,5]=>{{1},{2,7},{3},{4},{5,6}}=>{{1,3},{2},{4},{5},{6,7}}=>3
[2,4,5,7,3,1,6]=>[1,5,2,3,7,4,6]=>{{1},{2,5,7},{3},{4},{6}}=>{{1,3,6},{2},{4},{5},{7}}=>6
[2,4,5,7,3,6,1]=>[1,5,2,3,6,4,7]=>{{1},{2,5,6},{3},{4},{7}}=>{{1},{2},{3,6,7},{4},{5}}=>1
[2,4,5,7,6,1,3]=>[1,7,2,3,5,4,6]=>{{1},{2,7},{3},{4},{5},{6}}=>{{1,3},{2},{4},{5},{6},{7}}=>3
[2,4,5,7,6,3,1]=>[1,6,2,3,5,4,7]=>{{1},{2,6},{3},{4},{5},{7}}=>{{1},{2},{3,7},{4},{5},{6}}=>1
[2,4,6,1,3,5,7]=>[1,5,2,6,3,7,4]=>{{1},{2,5},{3},{4,6,7}}=>{{1,5,7},{2},{3,6},{4}}=>7
[2,4,6,1,3,7,5]=>[1,5,2,7,3,6,4]=>{{1},{2,5},{3},{4,7},{6}}=>{{1,5},{2},{3,6},{4},{7}}=>5
[2,4,6,1,5,3,7]=>[1,6,2,5,3,7,4]=>{{1},{2,6,7},{3},{4,5}}=>{{1,3,7},{2},{4},{5,6}}=>7
[2,4,6,1,5,7,3]=>[1,7,2,5,3,6,4]=>{{1},{2,7},{3},{4,5},{6}}=>{{1,3},{2},{4},{5,6},{7}}=>3
[2,4,6,1,7,3,5]=>[1,6,2,7,3,5,4]=>{{1},{2,6},{3},{4,7},{5}}=>{{1,5},{2},{3,7},{4},{6}}=>5
[2,4,6,1,7,5,3]=>[1,7,2,6,3,5,4]=>{{1},{2,7},{3},{4,6},{5}}=>{{1,3},{2},{4},{5,7},{6}}=>3
[2,4,6,3,1,5,7]=>[1,4,2,6,3,7,5]=>{{1},{2,4,6,7},{3},{5}}=>{{1,3,5,7},{2},{4},{6}}=>7
[2,4,6,3,1,7,5]=>[1,4,2,7,3,6,5]=>{{1},{2,4,7},{3},{5},{6}}=>{{1,3,5},{2},{4},{6},{7}}=>5
[2,4,6,3,5,1,7]=>[1,4,2,5,3,7,6]=>{{1},{2,4,5},{3},{6,7}}=>{{1,7},{2},{3,5,6},{4}}=>7
[2,4,6,3,5,7,1]=>[1,4,2,5,3,6,7]=>{{1},{2,4,5},{3},{6},{7}}=>{{1},{2},{3,5,6},{4},{7}}=>1
[2,4,6,3,7,1,5]=>[1,4,2,7,3,5,6]=>{{1},{2,4,7},{3},{5},{6}}=>{{1,3,5},{2},{4},{6},{7}}=>5
[2,4,6,3,7,5,1]=>[1,4,2,6,3,5,7]=>{{1},{2,4,6},{3},{5},{7}}=>{{1},{2},{3,5,7},{4},{6}}=>1
[2,4,6,5,1,3,7]=>[1,6,2,4,3,7,5]=>{{1},{2,6,7},{3},{4},{5}}=>{{1,3,7},{2},{4},{5},{6}}=>7
[2,4,6,5,1,7,3]=>[1,7,2,4,3,6,5]=>{{1},{2,7},{3},{4},{5},{6}}=>{{1,3},{2},{4},{5},{6},{7}}=>3
[2,4,6,5,3,1,7]=>[1,5,2,4,3,7,6]=>{{1},{2,5},{3},{4},{6,7}}=>{{1,7},{2},{3,6},{4},{5}}=>7
[2,4,6,5,3,7,1]=>[1,5,2,4,3,6,7]=>{{1},{2,5},{3},{4},{6},{7}}=>{{1},{2},{3,6},{4},{5},{7}}=>1
[2,4,6,5,7,1,3]=>[1,7,2,4,3,5,6]=>{{1},{2,7},{3},{4},{5},{6}}=>{{1,3},{2},{4},{5},{6},{7}}=>3
[2,4,6,5,7,3,1]=>[1,6,2,4,3,5,7]=>{{1},{2,6},{3},{4},{5},{7}}=>{{1},{2},{3,7},{4},{5},{6}}=>1
[2,4,6,7,1,3,5]=>[1,6,2,7,3,4,5]=>{{1},{2,6},{3},{4,7},{5}}=>{{1,5},{2},{3,7},{4},{6}}=>5
[2,4,6,7,1,5,3]=>[1,7,2,6,3,4,5]=>{{1},{2,7},{3},{4,6},{5}}=>{{1,3},{2},{4},{5,7},{6}}=>3
[2,4,6,7,3,1,5]=>[1,5,2,7,3,4,6]=>{{1},{2,5},{3},{4,7},{6}}=>{{1,5},{2},{3,6},{4},{7}}=>5
[2,4,6,7,3,5,1]=>[1,5,2,6,3,4,7]=>{{1},{2,5},{3},{4,6},{7}}=>{{1},{2},{3,6},{4},{5,7}}=>1
[2,4,6,7,5,1,3]=>[1,7,2,5,3,4,6]=>{{1},{2,7},{3},{4,5},{6}}=>{{1,3},{2},{4},{5,6},{7}}=>3
[2,4,6,7,5,3,1]=>[1,6,2,5,3,4,7]=>{{1},{2,6},{3},{4,5},{7}}=>{{1},{2},{3,7},{4},{5,6}}=>1
[2,4,7,1,3,5,6]=>[1,5,2,6,7,3,4]=>{{1},{2,5,7},{3},{4,6}}=>{{1,3,6},{2},{4},{5,7}}=>6
[2,4,7,1,3,6,5]=>[1,5,2,7,6,3,4]=>{{1},{2,5,6},{3},{4,7}}=>{{1,5},{2},{3,6,7},{4}}=>5
[2,4,7,1,5,3,6]=>[1,6,2,5,7,3,4]=>{{1},{2,6},{3},{4,5,7}}=>{{1,5,6},{2},{3,7},{4}}=>6
[2,4,7,1,5,6,3]=>[1,7,2,5,6,3,4]=>{{1},{2,7},{3},{4,5,6}}=>{{1,3},{2},{4},{5,6,7}}=>3
[2,4,7,1,6,3,5]=>[1,6,2,7,5,3,4]=>{{1},{2,6},{3},{4,7},{5}}=>{{1,5},{2},{3,7},{4},{6}}=>5
[2,4,7,1,6,5,3]=>[1,7,2,6,5,3,4]=>{{1},{2,7},{3},{4,6},{5}}=>{{1,3},{2},{4},{5,7},{6}}=>3
[2,4,7,3,1,5,6]=>[1,4,2,6,7,3,5]=>{{1},{2,4,6},{3},{5,7}}=>{{1,6},{2},{3,5,7},{4}}=>6
[2,4,7,3,1,6,5]=>[1,4,2,7,6,3,5]=>{{1},{2,4,7},{3},{5,6}}=>{{1,3,5},{2},{4},{6,7}}=>5
[2,4,7,3,5,1,6]=>[1,4,2,5,7,3,6]=>{{1},{2,4,5,7},{3},{6}}=>{{1,3,5,6},{2},{4},{7}}=>6
[2,4,7,3,5,6,1]=>[1,4,2,5,6,3,7]=>{{1},{2,4,5,6},{3},{7}}=>{{1},{2},{3,5,6,7},{4}}=>1
[2,4,7,3,6,1,5]=>[1,4,2,7,5,3,6]=>{{1},{2,4,7},{3},{5},{6}}=>{{1,3,5},{2},{4},{6},{7}}=>5
[2,4,7,3,6,5,1]=>[1,4,2,6,5,3,7]=>{{1},{2,4,6},{3},{5},{7}}=>{{1},{2},{3,5,7},{4},{6}}=>1
[2,4,7,5,1,3,6]=>[1,6,2,4,7,3,5]=>{{1},{2,6},{3},{4},{5,7}}=>{{1,6},{2},{3,7},{4},{5}}=>6
[2,4,7,5,1,6,3]=>[1,7,2,4,6,3,5]=>{{1},{2,7},{3},{4},{5,6}}=>{{1,3},{2},{4},{5},{6,7}}=>3
[2,4,7,5,3,1,6]=>[1,5,2,4,7,3,6]=>{{1},{2,5,7},{3},{4},{6}}=>{{1,3,6},{2},{4},{5},{7}}=>6
[2,4,7,5,3,6,1]=>[1,5,2,4,6,3,7]=>{{1},{2,5,6},{3},{4},{7}}=>{{1},{2},{3,6,7},{4},{5}}=>1
[2,4,7,5,6,1,3]=>[1,7,2,4,5,3,6]=>{{1},{2,7},{3},{4},{5},{6}}=>{{1,3},{2},{4},{5},{6},{7}}=>3
[2,4,7,5,6,3,1]=>[1,6,2,4,5,3,7]=>{{1},{2,6},{3},{4},{5},{7}}=>{{1},{2},{3,7},{4},{5},{6}}=>1
[2,4,7,6,1,3,5]=>[1,6,2,7,4,3,5]=>{{1},{2,6},{3},{4,7},{5}}=>{{1,5},{2},{3,7},{4},{6}}=>5
[2,4,7,6,1,5,3]=>[1,7,2,6,4,3,5]=>{{1},{2,7},{3},{4,6},{5}}=>{{1,3},{2},{4},{5,7},{6}}=>3
[2,4,7,6,3,1,5]=>[1,5,2,7,4,3,6]=>{{1},{2,5},{3},{4,7},{6}}=>{{1,5},{2},{3,6},{4},{7}}=>5
[2,4,7,6,3,5,1]=>[1,5,2,6,4,3,7]=>{{1},{2,5},{3},{4,6},{7}}=>{{1},{2},{3,6},{4},{5,7}}=>1
[2,4,7,6,5,1,3]=>[1,7,2,5,4,3,6]=>{{1},{2,7},{3},{4,5},{6}}=>{{1,3},{2},{4},{5,6},{7}}=>3
[2,4,7,6,5,3,1]=>[1,6,2,5,4,3,7]=>{{1},{2,6},{3},{4,5},{7}}=>{{1},{2},{3,7},{4},{5,6}}=>1
[2,5,1,3,4,6,7]=>[1,4,5,2,6,7,3]=>{{1},{2,4},{3,5,6,7}}=>{{1,4,6,7},{2},{3,5}}=>7
[2,5,1,3,4,7,6]=>[1,4,5,2,7,6,3]=>{{1},{2,4},{3,5,7},{6}}=>{{1,4,6},{2},{3,5},{7}}=>6
[2,5,1,3,6,4,7]=>[1,4,6,2,5,7,3]=>{{1},{2,4},{3,6,7},{5}}=>{{1,4,7},{2},{3,5},{6}}=>7
[2,5,1,3,6,7,4]=>[1,4,7,2,5,6,3]=>{{1},{2,4},{3,7},{5},{6}}=>{{1,4},{2},{3,5},{6},{7}}=>4
[2,5,1,3,7,4,6]=>[1,4,6,2,7,5,3]=>{{1},{2,4},{3,6},{5,7}}=>{{1,6},{2},{3,5},{4,7}}=>6
[2,5,1,3,7,6,4]=>[1,4,7,2,6,5,3]=>{{1},{2,4},{3,7},{5,6}}=>{{1,4},{2},{3,5},{6,7}}=>4
[2,5,1,4,3,6,7]=>[1,5,4,2,6,7,3]=>{{1},{2,5,6,7},{3,4}}=>{{1,3,6,7},{2},{4,5}}=>7
[2,5,1,4,3,7,6]=>[1,5,4,2,7,6,3]=>{{1},{2,5,7},{3,4},{6}}=>{{1,3,6},{2},{4,5},{7}}=>6
[2,5,1,4,6,3,7]=>[1,6,4,2,5,7,3]=>{{1},{2,6,7},{3,4},{5}}=>{{1,3,7},{2},{4,5},{6}}=>7
[2,5,1,4,6,7,3]=>[1,7,4,2,5,6,3]=>{{1},{2,7},{3,4},{5},{6}}=>{{1,3},{2},{4,5},{6},{7}}=>3
[2,5,1,4,7,3,6]=>[1,6,4,2,7,5,3]=>{{1},{2,6},{3,4},{5,7}}=>{{1,6},{2},{3,7},{4,5}}=>6
[2,5,1,4,7,6,3]=>[1,7,4,2,6,5,3]=>{{1},{2,7},{3,4},{5,6}}=>{{1,3},{2},{4,5},{6,7}}=>3
[2,5,1,6,3,4,7]=>[1,5,6,2,4,7,3]=>{{1},{2,5},{3,6,7},{4}}=>{{1,4,7},{2},{3,6},{5}}=>7
[2,5,1,6,3,7,4]=>[1,5,7,2,4,6,3]=>{{1},{2,5},{3,7},{4},{6}}=>{{1,4},{2},{3,6},{5},{7}}=>4
[2,5,1,6,4,3,7]=>[1,6,5,2,4,7,3]=>{{1},{2,6,7},{3,5},{4}}=>{{1,3,7},{2},{4,6},{5}}=>7
[2,5,1,6,4,7,3]=>[1,7,5,2,4,6,3]=>{{1},{2,7},{3,5},{4},{6}}=>{{1,3},{2},{4,6},{5},{7}}=>3
[2,5,1,6,7,3,4]=>[1,6,7,2,4,5,3]=>{{1},{2,6},{3,7},{4},{5}}=>{{1,4},{2},{3,7},{5},{6}}=>4
[2,5,1,6,7,4,3]=>[1,7,6,2,4,5,3]=>{{1},{2,7},{3,6},{4},{5}}=>{{1,3},{2},{4,7},{5},{6}}=>3
[2,5,1,7,3,4,6]=>[1,5,6,2,7,4,3]=>{{1},{2,5,7},{3,6},{4}}=>{{1,3,6},{2},{4,7},{5}}=>6
[2,5,1,7,3,6,4]=>[1,5,7,2,6,4,3]=>{{1},{2,5,6},{3,7},{4}}=>{{1,4},{2},{3,6,7},{5}}=>4
[2,5,1,7,4,3,6]=>[1,6,5,2,7,4,3]=>{{1},{2,6},{3,5,7},{4}}=>{{1,4,6},{2},{3,7},{5}}=>6
[2,5,1,7,4,6,3]=>[1,7,5,2,6,4,3]=>{{1},{2,7},{3,5,6},{4}}=>{{1,3},{2},{4,6,7},{5}}=>3
[2,5,1,7,6,3,4]=>[1,6,7,2,5,4,3]=>{{1},{2,6},{3,7},{4},{5}}=>{{1,4},{2},{3,7},{5},{6}}=>4
[2,5,1,7,6,4,3]=>[1,7,6,2,5,4,3]=>{{1},{2,7},{3,6},{4},{5}}=>{{1,3},{2},{4,7},{5},{6}}=>3
[2,5,3,1,4,6,7]=>[1,3,5,2,6,7,4]=>{{1},{2,3,5,6,7},{4}}=>{{1,3,4,6,7},{2},{5}}=>7
[2,5,3,1,4,7,6]=>[1,3,5,2,7,6,4]=>{{1},{2,3,5,7},{4},{6}}=>{{1,3,4,6},{2},{5},{7}}=>6
[2,5,3,1,6,4,7]=>[1,3,6,2,5,7,4]=>{{1},{2,3,6,7},{4},{5}}=>{{1,3,4,7},{2},{5},{6}}=>7
[2,5,3,1,6,7,4]=>[1,3,7,2,5,6,4]=>{{1},{2,3,7},{4},{5},{6}}=>{{1,3,4},{2},{5},{6},{7}}=>4
[2,5,3,1,7,4,6]=>[1,3,6,2,7,5,4]=>{{1},{2,3,6},{4},{5,7}}=>{{1,6},{2},{3,4,7},{5}}=>6
[2,5,3,1,7,6,4]=>[1,3,7,2,6,5,4]=>{{1},{2,3,7},{4},{5,6}}=>{{1,3,4},{2},{5},{6,7}}=>4
[2,5,3,4,1,6,7]=>[1,3,4,2,6,7,5]=>{{1},{2,3,4},{5,6,7}}=>{{1,6,7},{2},{3,4,5}}=>7
[2,5,3,4,1,7,6]=>[1,3,4,2,7,6,5]=>{{1},{2,3,4},{5,7},{6}}=>{{1,6},{2},{3,4,5},{7}}=>6
[2,5,3,4,6,1,7]=>[1,3,4,2,5,7,6]=>{{1},{2,3,4},{5},{6,7}}=>{{1,7},{2},{3,4,5},{6}}=>7
[2,5,3,4,6,7,1]=>[1,3,4,2,5,6,7]=>{{1},{2,3,4},{5},{6},{7}}=>{{1},{2},{3,4,5},{6},{7}}=>1
[2,5,3,4,7,1,6]=>[1,3,4,2,7,5,6]=>{{1},{2,3,4},{5,7},{6}}=>{{1,6},{2},{3,4,5},{7}}=>6
[2,5,3,4,7,6,1]=>[1,3,4,2,6,5,7]=>{{1},{2,3,4},{5,6},{7}}=>{{1},{2},{3,4,5},{6,7}}=>1
[2,5,3,6,1,4,7]=>[1,3,6,2,4,7,5]=>{{1},{2,3,6,7},{4},{5}}=>{{1,3,4,7},{2},{5},{6}}=>7
[2,5,3,6,1,7,4]=>[1,3,7,2,4,6,5]=>{{1},{2,3,7},{4},{5},{6}}=>{{1,3,4},{2},{5},{6},{7}}=>4
[2,5,3,6,4,1,7]=>[1,3,5,2,4,7,6]=>{{1},{2,3,5},{4},{6,7}}=>{{1,7},{2},{3,4,6},{5}}=>7
[2,5,3,6,4,7,1]=>[1,3,5,2,4,6,7]=>{{1},{2,3,5},{4},{6},{7}}=>{{1},{2},{3,4,6},{5},{7}}=>1
[2,5,3,6,7,1,4]=>[1,3,7,2,4,5,6]=>{{1},{2,3,7},{4},{5},{6}}=>{{1,3,4},{2},{5},{6},{7}}=>4
[2,5,3,6,7,4,1]=>[1,3,6,2,4,5,7]=>{{1},{2,3,6},{4},{5},{7}}=>{{1},{2},{3,4,7},{5},{6}}=>1
[2,5,3,7,1,4,6]=>[1,3,6,2,7,4,5]=>{{1},{2,3,6},{4},{5,7}}=>{{1,6},{2},{3,4,7},{5}}=>6
[2,5,3,7,1,6,4]=>[1,3,7,2,6,4,5]=>{{1},{2,3,7},{4},{5,6}}=>{{1,3,4},{2},{5},{6,7}}=>4
[2,5,3,7,4,1,6]=>[1,3,5,2,7,4,6]=>{{1},{2,3,5,7},{4},{6}}=>{{1,3,4,6},{2},{5},{7}}=>6
[2,5,3,7,4,6,1]=>[1,3,5,2,6,4,7]=>{{1},{2,3,5,6},{4},{7}}=>{{1},{2},{3,4,6,7},{5}}=>1
[2,5,3,7,6,1,4]=>[1,3,7,2,5,4,6]=>{{1},{2,3,7},{4},{5},{6}}=>{{1,3,4},{2},{5},{6},{7}}=>4
[2,5,3,7,6,4,1]=>[1,3,6,2,5,4,7]=>{{1},{2,3,6},{4},{5},{7}}=>{{1},{2},{3,4,7},{5},{6}}=>1
[2,5,4,1,3,6,7]=>[1,5,3,2,6,7,4]=>{{1},{2,5,6,7},{3},{4}}=>{{1,3,6,7},{2},{4},{5}}=>7
[2,5,4,1,3,7,6]=>[1,5,3,2,7,6,4]=>{{1},{2,5,7},{3},{4},{6}}=>{{1,3,6},{2},{4},{5},{7}}=>6
[2,5,4,1,6,3,7]=>[1,6,3,2,5,7,4]=>{{1},{2,6,7},{3},{4},{5}}=>{{1,3,7},{2},{4},{5},{6}}=>7
[2,5,4,1,6,7,3]=>[1,7,3,2,5,6,4]=>{{1},{2,7},{3},{4},{5},{6}}=>{{1,3},{2},{4},{5},{6},{7}}=>3
[2,5,4,1,7,3,6]=>[1,6,3,2,7,5,4]=>{{1},{2,6},{3},{4},{5,7}}=>{{1,6},{2},{3,7},{4},{5}}=>6
[2,5,4,1,7,6,3]=>[1,7,3,2,6,5,4]=>{{1},{2,7},{3},{4},{5,6}}=>{{1,3},{2},{4},{5},{6,7}}=>3
[2,5,4,3,1,6,7]=>[1,4,3,2,6,7,5]=>{{1},{2,4},{3},{5,6,7}}=>{{1,6,7},{2},{3,5},{4}}=>7
[2,5,4,3,1,7,6]=>[1,4,3,2,7,6,5]=>{{1},{2,4},{3},{5,7},{6}}=>{{1,6},{2},{3,5},{4},{7}}=>6
[2,5,4,3,6,1,7]=>[1,4,3,2,5,7,6]=>{{1},{2,4},{3},{5},{6,7}}=>{{1,7},{2},{3,5},{4},{6}}=>7
[2,5,4,3,6,7,1]=>[1,4,3,2,5,6,7]=>{{1},{2,4},{3},{5},{6},{7}}=>{{1},{2},{3,5},{4},{6},{7}}=>1
[2,5,4,3,7,1,6]=>[1,4,3,2,7,5,6]=>{{1},{2,4},{3},{5,7},{6}}=>{{1,6},{2},{3,5},{4},{7}}=>6
[2,5,4,3,7,6,1]=>[1,4,3,2,6,5,7]=>{{1},{2,4},{3},{5,6},{7}}=>{{1},{2},{3,5},{4},{6,7}}=>1
[2,5,4,6,1,3,7]=>[1,6,3,2,4,7,5]=>{{1},{2,6,7},{3},{4},{5}}=>{{1,3,7},{2},{4},{5},{6}}=>7
[2,5,4,6,1,7,3]=>[1,7,3,2,4,6,5]=>{{1},{2,7},{3},{4},{5},{6}}=>{{1,3},{2},{4},{5},{6},{7}}=>3
[2,5,4,6,3,1,7]=>[1,5,3,2,4,7,6]=>{{1},{2,5},{3},{4},{6,7}}=>{{1,7},{2},{3,6},{4},{5}}=>7
[2,5,4,6,3,7,1]=>[1,5,3,2,4,6,7]=>{{1},{2,5},{3},{4},{6},{7}}=>{{1},{2},{3,6},{4},{5},{7}}=>1
[2,5,4,6,7,1,3]=>[1,7,3,2,4,5,6]=>{{1},{2,7},{3},{4},{5},{6}}=>{{1,3},{2},{4},{5},{6},{7}}=>3
[2,5,4,6,7,3,1]=>[1,6,3,2,4,5,7]=>{{1},{2,6},{3},{4},{5},{7}}=>{{1},{2},{3,7},{4},{5},{6}}=>1
[2,5,4,7,1,3,6]=>[1,6,3,2,7,4,5]=>{{1},{2,6},{3},{4},{5,7}}=>{{1,6},{2},{3,7},{4},{5}}=>6
[2,5,4,7,1,6,3]=>[1,7,3,2,6,4,5]=>{{1},{2,7},{3},{4},{5,6}}=>{{1,3},{2},{4},{5},{6,7}}=>3
[2,5,4,7,3,1,6]=>[1,5,3,2,7,4,6]=>{{1},{2,5,7},{3},{4},{6}}=>{{1,3,6},{2},{4},{5},{7}}=>6
[2,5,4,7,3,6,1]=>[1,5,3,2,6,4,7]=>{{1},{2,5,6},{3},{4},{7}}=>{{1},{2},{3,6,7},{4},{5}}=>1
[2,5,4,7,6,1,3]=>[1,7,3,2,5,4,6]=>{{1},{2,7},{3},{4},{5},{6}}=>{{1,3},{2},{4},{5},{6},{7}}=>3
[2,5,4,7,6,3,1]=>[1,6,3,2,5,4,7]=>{{1},{2,6},{3},{4},{5},{7}}=>{{1},{2},{3,7},{4},{5},{6}}=>1
[2,5,6,1,3,4,7]=>[1,5,6,2,3,7,4]=>{{1},{2,5},{3,6,7},{4}}=>{{1,4,7},{2},{3,6},{5}}=>7
[2,5,6,1,3,7,4]=>[1,5,7,2,3,6,4]=>{{1},{2,5},{3,7},{4},{6}}=>{{1,4},{2},{3,6},{5},{7}}=>4
[2,5,6,1,4,3,7]=>[1,6,5,2,3,7,4]=>{{1},{2,6,7},{3,5},{4}}=>{{1,3,7},{2},{4,6},{5}}=>7
[2,5,6,1,4,7,3]=>[1,7,5,2,3,6,4]=>{{1},{2,7},{3,5},{4},{6}}=>{{1,3},{2},{4,6},{5},{7}}=>3
[2,5,6,1,7,3,4]=>[1,6,7,2,3,5,4]=>{{1},{2,6},{3,7},{4},{5}}=>{{1,4},{2},{3,7},{5},{6}}=>4
[2,5,6,1,7,4,3]=>[1,7,6,2,3,5,4]=>{{1},{2,7},{3,6},{4},{5}}=>{{1,3},{2},{4,7},{5},{6}}=>3
[2,5,6,3,1,4,7]=>[1,4,6,2,3,7,5]=>{{1},{2,4},{3,6,7},{5}}=>{{1,4,7},{2},{3,5},{6}}=>7
[2,5,6,3,1,7,4]=>[1,4,7,2,3,6,5]=>{{1},{2,4},{3,7},{5},{6}}=>{{1,4},{2},{3,5},{6},{7}}=>4
[2,5,6,3,4,1,7]=>[1,4,5,2,3,7,6]=>{{1},{2,4},{3,5},{6,7}}=>{{1,7},{2},{3,5},{4,6}}=>7
[2,5,6,3,4,7,1]=>[1,4,5,2,3,6,7]=>{{1},{2,4},{3,5},{6},{7}}=>{{1},{2},{3,5},{4,6},{7}}=>1
[2,5,6,3,7,1,4]=>[1,4,7,2,3,5,6]=>{{1},{2,4},{3,7},{5},{6}}=>{{1,4},{2},{3,5},{6},{7}}=>4
[2,5,6,3,7,4,1]=>[1,4,6,2,3,5,7]=>{{1},{2,4},{3,6},{5},{7}}=>{{1},{2},{3,5},{4,7},{6}}=>1
[2,5,6,4,1,3,7]=>[1,6,4,2,3,7,5]=>{{1},{2,6,7},{3,4},{5}}=>{{1,3,7},{2},{4,5},{6}}=>7
[2,5,6,4,1,7,3]=>[1,7,4,2,3,6,5]=>{{1},{2,7},{3,4},{5},{6}}=>{{1,3},{2},{4,5},{6},{7}}=>3
[2,5,6,4,3,1,7]=>[1,5,4,2,3,7,6]=>{{1},{2,5},{3,4},{6,7}}=>{{1,7},{2},{3,6},{4,5}}=>7
[2,5,6,4,3,7,1]=>[1,5,4,2,3,6,7]=>{{1},{2,5},{3,4},{6},{7}}=>{{1},{2},{3,6},{4,5},{7}}=>1
[2,5,6,4,7,1,3]=>[1,7,4,2,3,5,6]=>{{1},{2,7},{3,4},{5},{6}}=>{{1,3},{2},{4,5},{6},{7}}=>3
[2,5,6,4,7,3,1]=>[1,6,4,2,3,5,7]=>{{1},{2,6},{3,4},{5},{7}}=>{{1},{2},{3,7},{4,5},{6}}=>1
[2,5,6,7,1,3,4]=>[1,6,7,2,3,4,5]=>{{1},{2,6},{3,7},{4},{5}}=>{{1,4},{2},{3,7},{5},{6}}=>4
[2,5,6,7,1,4,3]=>[1,7,6,2,3,4,5]=>{{1},{2,7},{3,6},{4},{5}}=>{{1,3},{2},{4,7},{5},{6}}=>3
[2,5,6,7,3,1,4]=>[1,5,7,2,3,4,6]=>{{1},{2,5},{3,7},{4},{6}}=>{{1,4},{2},{3,6},{5},{7}}=>4
[2,5,6,7,3,4,1]=>[1,5,6,2,3,4,7]=>{{1},{2,5},{3,6},{4},{7}}=>{{1},{2},{3,6},{4,7},{5}}=>1
[2,5,6,7,4,1,3]=>[1,7,5,2,3,4,6]=>{{1},{2,7},{3,5},{4},{6}}=>{{1,3},{2},{4,6},{5},{7}}=>3
[2,5,6,7,4,3,1]=>[1,6,5,2,3,4,7]=>{{1},{2,6},{3,5},{4},{7}}=>{{1},{2},{3,7},{4,6},{5}}=>1
[2,5,7,1,3,4,6]=>[1,5,6,2,7,3,4]=>{{1},{2,5,7},{3,6},{4}}=>{{1,3,6},{2},{4,7},{5}}=>6
[2,5,7,1,3,6,4]=>[1,5,7,2,6,3,4]=>{{1},{2,5,6},{3,7},{4}}=>{{1,4},{2},{3,6,7},{5}}=>4
[2,5,7,1,4,3,6]=>[1,6,5,2,7,3,4]=>{{1},{2,6},{3,5,7},{4}}=>{{1,4,6},{2},{3,7},{5}}=>6
[2,5,7,1,4,6,3]=>[1,7,5,2,6,3,4]=>{{1},{2,7},{3,5,6},{4}}=>{{1,3},{2},{4,6,7},{5}}=>3
[2,5,7,1,6,3,4]=>[1,6,7,2,5,3,4]=>{{1},{2,6},{3,7},{4},{5}}=>{{1,4},{2},{3,7},{5},{6}}=>4
[2,5,7,1,6,4,3]=>[1,7,6,2,5,3,4]=>{{1},{2,7},{3,6},{4},{5}}=>{{1,3},{2},{4,7},{5},{6}}=>3
[2,5,7,3,1,4,6]=>[1,4,6,2,7,3,5]=>{{1},{2,4},{3,6},{5,7}}=>{{1,6},{2},{3,5},{4,7}}=>6
[2,5,7,3,1,6,4]=>[1,4,7,2,6,3,5]=>{{1},{2,4},{3,7},{5,6}}=>{{1,4},{2},{3,5},{6,7}}=>4
[2,5,7,3,4,1,6]=>[1,4,5,2,7,3,6]=>{{1},{2,4},{3,5,7},{6}}=>{{1,4,6},{2},{3,5},{7}}=>6
[2,5,7,3,4,6,1]=>[1,4,5,2,6,3,7]=>{{1},{2,4},{3,5,6},{7}}=>{{1},{2},{3,5},{4,6,7}}=>1
[2,5,7,3,6,1,4]=>[1,4,7,2,5,3,6]=>{{1},{2,4},{3,7},{5},{6}}=>{{1,4},{2},{3,5},{6},{7}}=>4
[2,5,7,3,6,4,1]=>[1,4,6,2,5,3,7]=>{{1},{2,4},{3,6},{5},{7}}=>{{1},{2},{3,5},{4,7},{6}}=>1
[2,5,7,4,1,3,6]=>[1,6,4,2,7,3,5]=>{{1},{2,6},{3,4},{5,7}}=>{{1,6},{2},{3,7},{4,5}}=>6
[2,5,7,4,1,6,3]=>[1,7,4,2,6,3,5]=>{{1},{2,7},{3,4},{5,6}}=>{{1,3},{2},{4,5},{6,7}}=>3
[2,5,7,4,3,1,6]=>[1,5,4,2,7,3,6]=>{{1},{2,5,7},{3,4},{6}}=>{{1,3,6},{2},{4,5},{7}}=>6
[2,5,7,4,3,6,1]=>[1,5,4,2,6,3,7]=>{{1},{2,5,6},{3,4},{7}}=>{{1},{2},{3,6,7},{4,5}}=>1
[2,5,7,4,6,1,3]=>[1,7,4,2,5,3,6]=>{{1},{2,7},{3,4},{5},{6}}=>{{1,3},{2},{4,5},{6},{7}}=>3
[2,5,7,4,6,3,1]=>[1,6,4,2,5,3,7]=>{{1},{2,6},{3,4},{5},{7}}=>{{1},{2},{3,7},{4,5},{6}}=>1
[2,5,7,6,1,3,4]=>[1,6,7,2,4,3,5]=>{{1},{2,6},{3,7},{4},{5}}=>{{1,4},{2},{3,7},{5},{6}}=>4
[2,5,7,6,1,4,3]=>[1,7,6,2,4,3,5]=>{{1},{2,7},{3,6},{4},{5}}=>{{1,3},{2},{4,7},{5},{6}}=>3
[2,5,7,6,3,1,4]=>[1,5,7,2,4,3,6]=>{{1},{2,5},{3,7},{4},{6}}=>{{1,4},{2},{3,6},{5},{7}}=>4
[2,5,7,6,3,4,1]=>[1,5,6,2,4,3,7]=>{{1},{2,5},{3,6},{4},{7}}=>{{1},{2},{3,6},{4,7},{5}}=>1
[2,5,7,6,4,1,3]=>[1,7,5,2,4,3,6]=>{{1},{2,7},{3,5},{4},{6}}=>{{1,3},{2},{4,6},{5},{7}}=>3
[2,5,7,6,4,3,1]=>[1,6,5,2,4,3,7]=>{{1},{2,6},{3,5},{4},{7}}=>{{1},{2},{3,7},{4,6},{5}}=>1
[2,6,1,3,4,5,7]=>[1,4,5,6,2,7,3]=>{{1},{2,4,6,7},{3,5}}=>{{1,3,5,7},{2},{4,6}}=>7
[2,6,1,3,4,7,5]=>[1,4,5,7,2,6,3]=>{{1},{2,4,7},{3,5},{6}}=>{{1,3,5},{2},{4,6},{7}}=>5
[2,6,1,3,5,4,7]=>[1,4,6,5,2,7,3]=>{{1},{2,4,5},{3,6,7}}=>{{1,4,7},{2},{3,5,6}}=>7
[2,6,1,3,5,7,4]=>[1,4,7,5,2,6,3]=>{{1},{2,4,5},{3,7},{6}}=>{{1,4},{2},{3,5,6},{7}}=>4
[2,6,1,3,7,4,5]=>[1,4,6,7,2,5,3]=>{{1},{2,4,7},{3,6},{5}}=>{{1,3,5},{2},{4,7},{6}}=>5
[2,6,1,3,7,5,4]=>[1,4,7,6,2,5,3]=>{{1},{2,4,6},{3,7},{5}}=>{{1,4},{2},{3,5,7},{6}}=>4
[2,6,1,4,3,5,7]=>[1,5,4,6,2,7,3]=>{{1},{2,5},{3,4,6,7}}=>{{1,4,5,7},{2},{3,6}}=>7
[2,6,1,4,3,7,5]=>[1,5,4,7,2,6,3]=>{{1},{2,5},{3,4,7},{6}}=>{{1,4,5},{2},{3,6},{7}}=>5
[2,6,1,4,5,3,7]=>[1,6,4,5,2,7,3]=>{{1},{2,6,7},{3,4,5}}=>{{1,3,7},{2},{4,5,6}}=>7
[2,6,1,4,5,7,3]=>[1,7,4,5,2,6,3]=>{{1},{2,7},{3,4,5},{6}}=>{{1,3},{2},{4,5,6},{7}}=>3
[2,6,1,4,7,3,5]=>[1,6,4,7,2,5,3]=>{{1},{2,6},{3,4,7},{5}}=>{{1,4,5},{2},{3,7},{6}}=>5
[2,6,1,4,7,5,3]=>[1,7,4,6,2,5,3]=>{{1},{2,7},{3,4,6},{5}}=>{{1,3},{2},{4,5,7},{6}}=>3
[2,6,1,5,3,4,7]=>[1,5,6,4,2,7,3]=>{{1},{2,5},{3,6,7},{4}}=>{{1,4,7},{2},{3,6},{5}}=>7
[2,6,1,5,3,7,4]=>[1,5,7,4,2,6,3]=>{{1},{2,5},{3,7},{4},{6}}=>{{1,4},{2},{3,6},{5},{7}}=>4
[2,6,1,5,4,3,7]=>[1,6,5,4,2,7,3]=>{{1},{2,6,7},{3,5},{4}}=>{{1,3,7},{2},{4,6},{5}}=>7
[2,6,1,5,4,7,3]=>[1,7,5,4,2,6,3]=>{{1},{2,7},{3,5},{4},{6}}=>{{1,3},{2},{4,6},{5},{7}}=>3
[2,6,1,5,7,3,4]=>[1,6,7,4,2,5,3]=>{{1},{2,6},{3,7},{4},{5}}=>{{1,4},{2},{3,7},{5},{6}}=>4
[2,6,1,5,7,4,3]=>[1,7,6,4,2,5,3]=>{{1},{2,7},{3,6},{4},{5}}=>{{1,3},{2},{4,7},{5},{6}}=>3
[2,6,1,7,3,4,5]=>[1,5,6,7,2,4,3]=>{{1},{2,5},{3,6},{4,7}}=>{{1,5},{2},{3,6},{4,7}}=>5
[2,6,1,7,3,5,4]=>[1,5,7,6,2,4,3]=>{{1},{2,5},{3,7},{4,6}}=>{{1,4},{2},{3,6},{5,7}}=>4
[2,6,1,7,4,3,5]=>[1,6,5,7,2,4,3]=>{{1},{2,6},{3,5},{4,7}}=>{{1,5},{2},{3,7},{4,6}}=>5
[2,6,1,7,4,5,3]=>[1,7,5,6,2,4,3]=>{{1},{2,7},{3,5},{4,6}}=>{{1,3},{2},{4,6},{5,7}}=>3
[2,6,1,7,5,3,4]=>[1,6,7,5,2,4,3]=>{{1},{2,6},{3,7},{4,5}}=>{{1,4},{2},{3,7},{5,6}}=>4
[2,6,1,7,5,4,3]=>[1,7,6,5,2,4,3]=>{{1},{2,7},{3,6},{4,5}}=>{{1,3},{2},{4,7},{5,6}}=>3
[2,6,3,1,4,5,7]=>[1,3,5,6,2,7,4]=>{{1},{2,3,5},{4,6,7}}=>{{1,5,7},{2},{3,4,6}}=>7
[2,6,3,1,4,7,5]=>[1,3,5,7,2,6,4]=>{{1},{2,3,5},{4,7},{6}}=>{{1,5},{2},{3,4,6},{7}}=>5
[2,6,3,1,5,4,7]=>[1,3,6,5,2,7,4]=>{{1},{2,3,6,7},{4,5}}=>{{1,3,4,7},{2},{5,6}}=>7
[2,6,3,1,5,7,4]=>[1,3,7,5,2,6,4]=>{{1},{2,3,7},{4,5},{6}}=>{{1,3,4},{2},{5,6},{7}}=>4
[2,6,3,1,7,4,5]=>[1,3,6,7,2,5,4]=>{{1},{2,3,6},{4,7},{5}}=>{{1,5},{2},{3,4,7},{6}}=>5
[2,6,3,1,7,5,4]=>[1,3,7,6,2,5,4]=>{{1},{2,3,7},{4,6},{5}}=>{{1,3,4},{2},{5,7},{6}}=>4
[2,6,3,4,1,5,7]=>[1,3,4,6,2,7,5]=>{{1},{2,3,4,6,7},{5}}=>{{1,3,4,5,7},{2},{6}}=>7
[2,6,3,4,1,7,5]=>[1,3,4,7,2,6,5]=>{{1},{2,3,4,7},{5},{6}}=>{{1,3,4,5},{2},{6},{7}}=>5
[2,6,3,4,5,1,7]=>[1,3,4,5,2,7,6]=>{{1},{2,3,4,5},{6,7}}=>{{1,7},{2},{3,4,5,6}}=>7
[2,6,3,4,5,7,1]=>[1,3,4,5,2,6,7]=>{{1},{2,3,4,5},{6},{7}}=>{{1},{2},{3,4,5,6},{7}}=>1
[2,6,3,4,7,1,5]=>[1,3,4,7,2,5,6]=>{{1},{2,3,4,7},{5},{6}}=>{{1,3,4,5},{2},{6},{7}}=>5
[2,6,3,4,7,5,1]=>[1,3,4,6,2,5,7]=>{{1},{2,3,4,6},{5},{7}}=>{{1},{2},{3,4,5,7},{6}}=>1
[2,6,3,5,1,4,7]=>[1,3,6,4,2,7,5]=>{{1},{2,3,6,7},{4},{5}}=>{{1,3,4,7},{2},{5},{6}}=>7
[2,6,3,5,1,7,4]=>[1,3,7,4,2,6,5]=>{{1},{2,3,7},{4},{5},{6}}=>{{1,3,4},{2},{5},{6},{7}}=>4
[2,6,3,5,4,1,7]=>[1,3,5,4,2,7,6]=>{{1},{2,3,5},{4},{6,7}}=>{{1,7},{2},{3,4,6},{5}}=>7
[2,6,3,5,4,7,1]=>[1,3,5,4,2,6,7]=>{{1},{2,3,5},{4},{6},{7}}=>{{1},{2},{3,4,6},{5},{7}}=>1
[2,6,3,5,7,1,4]=>[1,3,7,4,2,5,6]=>{{1},{2,3,7},{4},{5},{6}}=>{{1,3,4},{2},{5},{6},{7}}=>4
[2,6,3,5,7,4,1]=>[1,3,6,4,2,5,7]=>{{1},{2,3,6},{4},{5},{7}}=>{{1},{2},{3,4,7},{5},{6}}=>1
[2,6,3,7,1,4,5]=>[1,3,6,7,2,4,5]=>{{1},{2,3,6},{4,7},{5}}=>{{1,5},{2},{3,4,7},{6}}=>5
[2,6,3,7,1,5,4]=>[1,3,7,6,2,4,5]=>{{1},{2,3,7},{4,6},{5}}=>{{1,3,4},{2},{5,7},{6}}=>4
[2,6,3,7,4,1,5]=>[1,3,5,7,2,4,6]=>{{1},{2,3,5},{4,7},{6}}=>{{1,5},{2},{3,4,6},{7}}=>5
[2,6,3,7,4,5,1]=>[1,3,5,6,2,4,7]=>{{1},{2,3,5},{4,6},{7}}=>{{1},{2},{3,4,6},{5,7}}=>1
[2,6,3,7,5,1,4]=>[1,3,7,5,2,4,6]=>{{1},{2,3,7},{4,5},{6}}=>{{1,3,4},{2},{5,6},{7}}=>4
[2,6,3,7,5,4,1]=>[1,3,6,5,2,4,7]=>{{1},{2,3,6},{4,5},{7}}=>{{1},{2},{3,4,7},{5,6}}=>1
[2,6,4,1,3,5,7]=>[1,5,3,6,2,7,4]=>{{1},{2,5},{3},{4,6,7}}=>{{1,5,7},{2},{3,6},{4}}=>7
[2,6,4,1,3,7,5]=>[1,5,3,7,2,6,4]=>{{1},{2,5},{3},{4,7},{6}}=>{{1,5},{2},{3,6},{4},{7}}=>5
[2,6,4,1,5,3,7]=>[1,6,3,5,2,7,4]=>{{1},{2,6,7},{3},{4,5}}=>{{1,3,7},{2},{4},{5,6}}=>7
[2,6,4,1,5,7,3]=>[1,7,3,5,2,6,4]=>{{1},{2,7},{3},{4,5},{6}}=>{{1,3},{2},{4},{5,6},{7}}=>3
[2,6,4,1,7,3,5]=>[1,6,3,7,2,5,4]=>{{1},{2,6},{3},{4,7},{5}}=>{{1,5},{2},{3,7},{4},{6}}=>5
[2,6,4,1,7,5,3]=>[1,7,3,6,2,5,4]=>{{1},{2,7},{3},{4,6},{5}}=>{{1,3},{2},{4},{5,7},{6}}=>3
[2,6,4,3,1,5,7]=>[1,4,3,6,2,7,5]=>{{1},{2,4,6,7},{3},{5}}=>{{1,3,5,7},{2},{4},{6}}=>7
[2,6,4,3,1,7,5]=>[1,4,3,7,2,6,5]=>{{1},{2,4,7},{3},{5},{6}}=>{{1,3,5},{2},{4},{6},{7}}=>5
[2,6,4,3,5,1,7]=>[1,4,3,5,2,7,6]=>{{1},{2,4,5},{3},{6,7}}=>{{1,7},{2},{3,5,6},{4}}=>7
[2,6,4,3,5,7,1]=>[1,4,3,5,2,6,7]=>{{1},{2,4,5},{3},{6},{7}}=>{{1},{2},{3,5,6},{4},{7}}=>1
[2,6,4,3,7,1,5]=>[1,4,3,7,2,5,6]=>{{1},{2,4,7},{3},{5},{6}}=>{{1,3,5},{2},{4},{6},{7}}=>5
[2,6,4,3,7,5,1]=>[1,4,3,6,2,5,7]=>{{1},{2,4,6},{3},{5},{7}}=>{{1},{2},{3,5,7},{4},{6}}=>1
[2,6,4,5,1,3,7]=>[1,6,3,4,2,7,5]=>{{1},{2,6,7},{3},{4},{5}}=>{{1,3,7},{2},{4},{5},{6}}=>7
[2,6,4,5,1,7,3]=>[1,7,3,4,2,6,5]=>{{1},{2,7},{3},{4},{5},{6}}=>{{1,3},{2},{4},{5},{6},{7}}=>3
[2,6,4,5,3,1,7]=>[1,5,3,4,2,7,6]=>{{1},{2,5},{3},{4},{6,7}}=>{{1,7},{2},{3,6},{4},{5}}=>7
[2,6,4,5,3,7,1]=>[1,5,3,4,2,6,7]=>{{1},{2,5},{3},{4},{6},{7}}=>{{1},{2},{3,6},{4},{5},{7}}=>1
[2,6,4,5,7,1,3]=>[1,7,3,4,2,5,6]=>{{1},{2,7},{3},{4},{5},{6}}=>{{1,3},{2},{4},{5},{6},{7}}=>3
[2,6,4,5,7,3,1]=>[1,6,3,4,2,5,7]=>{{1},{2,6},{3},{4},{5},{7}}=>{{1},{2},{3,7},{4},{5},{6}}=>1
[2,6,4,7,1,3,5]=>[1,6,3,7,2,4,5]=>{{1},{2,6},{3},{4,7},{5}}=>{{1,5},{2},{3,7},{4},{6}}=>5
[2,6,4,7,1,5,3]=>[1,7,3,6,2,4,5]=>{{1},{2,7},{3},{4,6},{5}}=>{{1,3},{2},{4},{5,7},{6}}=>3
[2,6,4,7,3,1,5]=>[1,5,3,7,2,4,6]=>{{1},{2,5},{3},{4,7},{6}}=>{{1,5},{2},{3,6},{4},{7}}=>5
[2,6,4,7,3,5,1]=>[1,5,3,6,2,4,7]=>{{1},{2,5},{3},{4,6},{7}}=>{{1},{2},{3,6},{4},{5,7}}=>1
[2,6,4,7,5,1,3]=>[1,7,3,5,2,4,6]=>{{1},{2,7},{3},{4,5},{6}}=>{{1,3},{2},{4},{5,6},{7}}=>3
[2,6,4,7,5,3,1]=>[1,6,3,5,2,4,7]=>{{1},{2,6},{3},{4,5},{7}}=>{{1},{2},{3,7},{4},{5,6}}=>1
[2,6,5,1,3,4,7]=>[1,5,6,3,2,7,4]=>{{1},{2,5},{3,6,7},{4}}=>{{1,4,7},{2},{3,6},{5}}=>7
[2,6,5,1,3,7,4]=>[1,5,7,3,2,6,4]=>{{1},{2,5},{3,7},{4},{6}}=>{{1,4},{2},{3,6},{5},{7}}=>4
[2,6,5,1,4,3,7]=>[1,6,5,3,2,7,4]=>{{1},{2,6,7},{3,5},{4}}=>{{1,3,7},{2},{4,6},{5}}=>7
[2,6,5,1,4,7,3]=>[1,7,5,3,2,6,4]=>{{1},{2,7},{3,5},{4},{6}}=>{{1,3},{2},{4,6},{5},{7}}=>3
[2,6,5,1,7,3,4]=>[1,6,7,3,2,5,4]=>{{1},{2,6},{3,7},{4},{5}}=>{{1,4},{2},{3,7},{5},{6}}=>4
[2,6,5,1,7,4,3]=>[1,7,6,3,2,5,4]=>{{1},{2,7},{3,6},{4},{5}}=>{{1,3},{2},{4,7},{5},{6}}=>3
[2,6,5,3,1,4,7]=>[1,4,6,3,2,7,5]=>{{1},{2,4},{3,6,7},{5}}=>{{1,4,7},{2},{3,5},{6}}=>7
[2,6,5,3,1,7,4]=>[1,4,7,3,2,6,5]=>{{1},{2,4},{3,7},{5},{6}}=>{{1,4},{2},{3,5},{6},{7}}=>4
[2,6,5,3,4,1,7]=>[1,4,5,3,2,7,6]=>{{1},{2,4},{3,5},{6,7}}=>{{1,7},{2},{3,5},{4,6}}=>7
[2,6,5,3,4,7,1]=>[1,4,5,3,2,6,7]=>{{1},{2,4},{3,5},{6},{7}}=>{{1},{2},{3,5},{4,6},{7}}=>1
[2,6,5,3,7,1,4]=>[1,4,7,3,2,5,6]=>{{1},{2,4},{3,7},{5},{6}}=>{{1,4},{2},{3,5},{6},{7}}=>4
[2,6,5,3,7,4,1]=>[1,4,6,3,2,5,7]=>{{1},{2,4},{3,6},{5},{7}}=>{{1},{2},{3,5},{4,7},{6}}=>1
[2,6,5,4,1,3,7]=>[1,6,4,3,2,7,5]=>{{1},{2,6,7},{3,4},{5}}=>{{1,3,7},{2},{4,5},{6}}=>7
[2,6,5,4,1,7,3]=>[1,7,4,3,2,6,5]=>{{1},{2,7},{3,4},{5},{6}}=>{{1,3},{2},{4,5},{6},{7}}=>3
[2,6,5,4,3,1,7]=>[1,5,4,3,2,7,6]=>{{1},{2,5},{3,4},{6,7}}=>{{1,7},{2},{3,6},{4,5}}=>7
[2,6,5,4,3,7,1]=>[1,5,4,3,2,6,7]=>{{1},{2,5},{3,4},{6},{7}}=>{{1},{2},{3,6},{4,5},{7}}=>1
[2,6,5,4,7,1,3]=>[1,7,4,3,2,5,6]=>{{1},{2,7},{3,4},{5},{6}}=>{{1,3},{2},{4,5},{6},{7}}=>3
[2,6,5,4,7,3,1]=>[1,6,4,3,2,5,7]=>{{1},{2,6},{3,4},{5},{7}}=>{{1},{2},{3,7},{4,5},{6}}=>1
[2,6,5,7,1,3,4]=>[1,6,7,3,2,4,5]=>{{1},{2,6},{3,7},{4},{5}}=>{{1,4},{2},{3,7},{5},{6}}=>4
[2,6,5,7,1,4,3]=>[1,7,6,3,2,4,5]=>{{1},{2,7},{3,6},{4},{5}}=>{{1,3},{2},{4,7},{5},{6}}=>3
[2,6,5,7,3,1,4]=>[1,5,7,3,2,4,6]=>{{1},{2,5},{3,7},{4},{6}}=>{{1,4},{2},{3,6},{5},{7}}=>4
[2,6,5,7,3,4,1]=>[1,5,6,3,2,4,7]=>{{1},{2,5},{3,6},{4},{7}}=>{{1},{2},{3,6},{4,7},{5}}=>1
[2,6,5,7,4,1,3]=>[1,7,5,3,2,4,6]=>{{1},{2,7},{3,5},{4},{6}}=>{{1,3},{2},{4,6},{5},{7}}=>3
[2,6,5,7,4,3,1]=>[1,6,5,3,2,4,7]=>{{1},{2,6},{3,5},{4},{7}}=>{{1},{2},{3,7},{4,6},{5}}=>1
[2,6,7,1,3,4,5]=>[1,5,6,7,2,3,4]=>{{1},{2,5},{3,6},{4,7}}=>{{1,5},{2},{3,6},{4,7}}=>5
[2,6,7,1,3,5,4]=>[1,5,7,6,2,3,4]=>{{1},{2,5},{3,7},{4,6}}=>{{1,4},{2},{3,6},{5,7}}=>4
[2,6,7,1,4,3,5]=>[1,6,5,7,2,3,4]=>{{1},{2,6},{3,5},{4,7}}=>{{1,5},{2},{3,7},{4,6}}=>5
[2,6,7,1,4,5,3]=>[1,7,5,6,2,3,4]=>{{1},{2,7},{3,5},{4,6}}=>{{1,3},{2},{4,6},{5,7}}=>3
[2,6,7,1,5,3,4]=>[1,6,7,5,2,3,4]=>{{1},{2,6},{3,7},{4,5}}=>{{1,4},{2},{3,7},{5,6}}=>4
[2,6,7,1,5,4,3]=>[1,7,6,5,2,3,4]=>{{1},{2,7},{3,6},{4,5}}=>{{1,3},{2},{4,7},{5,6}}=>3
[2,6,7,3,1,4,5]=>[1,4,6,7,2,3,5]=>{{1},{2,4,7},{3,6},{5}}=>{{1,3,5},{2},{4,7},{6}}=>5
[2,6,7,3,1,5,4]=>[1,4,7,6,2,3,5]=>{{1},{2,4,6},{3,7},{5}}=>{{1,4},{2},{3,5,7},{6}}=>4
[2,6,7,3,4,1,5]=>[1,4,5,7,2,3,6]=>{{1},{2,4,7},{3,5},{6}}=>{{1,3,5},{2},{4,6},{7}}=>5
[2,6,7,3,4,5,1]=>[1,4,5,6,2,3,7]=>{{1},{2,4,6},{3,5},{7}}=>{{1},{2},{3,5,7},{4,6}}=>1
[2,6,7,3,5,1,4]=>[1,4,7,5,2,3,6]=>{{1},{2,4,5},{3,7},{6}}=>{{1,4},{2},{3,5,6},{7}}=>4
[2,6,7,3,5,4,1]=>[1,4,6,5,2,3,7]=>{{1},{2,4,5},{3,6},{7}}=>{{1},{2},{3,5,6},{4,7}}=>1
[2,6,7,4,1,3,5]=>[1,6,4,7,2,3,5]=>{{1},{2,6},{3,4,7},{5}}=>{{1,4,5},{2},{3,7},{6}}=>5
[2,6,7,4,1,5,3]=>[1,7,4,6,2,3,5]=>{{1},{2,7},{3,4,6},{5}}=>{{1,3},{2},{4,5,7},{6}}=>3
[2,6,7,4,3,1,5]=>[1,5,4,7,2,3,6]=>{{1},{2,5},{3,4,7},{6}}=>{{1,4,5},{2},{3,6},{7}}=>5
[2,6,7,4,3,5,1]=>[1,5,4,6,2,3,7]=>{{1},{2,5},{3,4,6},{7}}=>{{1},{2},{3,6},{4,5,7}}=>1
[2,6,7,4,5,1,3]=>[1,7,4,5,2,3,6]=>{{1},{2,7},{3,4,5},{6}}=>{{1,3},{2},{4,5,6},{7}}=>3
[2,6,7,4,5,3,1]=>[1,6,4,5,2,3,7]=>{{1},{2,6},{3,4,5},{7}}=>{{1},{2},{3,7},{4,5,6}}=>1
[2,6,7,5,1,3,4]=>[1,6,7,4,2,3,5]=>{{1},{2,6},{3,7},{4},{5}}=>{{1,4},{2},{3,7},{5},{6}}=>4
[2,6,7,5,1,4,3]=>[1,7,6,4,2,3,5]=>{{1},{2,7},{3,6},{4},{5}}=>{{1,3},{2},{4,7},{5},{6}}=>3
[2,6,7,5,3,1,4]=>[1,5,7,4,2,3,6]=>{{1},{2,5},{3,7},{4},{6}}=>{{1,4},{2},{3,6},{5},{7}}=>4
[2,6,7,5,3,4,1]=>[1,5,6,4,2,3,7]=>{{1},{2,5},{3,6},{4},{7}}=>{{1},{2},{3,6},{4,7},{5}}=>1
[2,6,7,5,4,1,3]=>[1,7,5,4,2,3,6]=>{{1},{2,7},{3,5},{4},{6}}=>{{1,3},{2},{4,6},{5},{7}}=>3
[2,6,7,5,4,3,1]=>[1,6,5,4,2,3,7]=>{{1},{2,6},{3,5},{4},{7}}=>{{1},{2},{3,7},{4,6},{5}}=>1
[2,7,1,3,4,5,6]=>[1,4,5,6,7,2,3]=>{{1},{2,4,6},{3,5,7}}=>{{1,4,6},{2},{3,5,7}}=>6
[2,7,1,3,4,6,5]=>[1,4,5,7,6,2,3]=>{{1},{2,4,7},{3,5,6}}=>{{1,3,5},{2},{4,6,7}}=>5
[2,7,1,3,5,4,6]=>[1,4,6,5,7,2,3]=>{{1},{2,4,5,7},{3,6}}=>{{1,3,5,6},{2},{4,7}}=>6
[2,7,1,3,5,6,4]=>[1,4,7,5,6,2,3]=>{{1},{2,4,5,6},{3,7}}=>{{1,4},{2},{3,5,6,7}}=>4
[2,7,1,3,6,4,5]=>[1,4,6,7,5,2,3]=>{{1},{2,4,7},{3,6},{5}}=>{{1,3,5},{2},{4,7},{6}}=>5
[2,7,1,3,6,5,4]=>[1,4,7,6,5,2,3]=>{{1},{2,4,6},{3,7},{5}}=>{{1,4},{2},{3,5,7},{6}}=>4
[2,7,1,4,3,5,6]=>[1,5,4,6,7,2,3]=>{{1},{2,5,7},{3,4,6}}=>{{1,3,6},{2},{4,5,7}}=>6
[2,7,1,4,3,6,5]=>[1,5,4,7,6,2,3]=>{{1},{2,5,6},{3,4,7}}=>{{1,4,5},{2},{3,6,7}}=>5
[2,7,1,4,5,3,6]=>[1,6,4,5,7,2,3]=>{{1},{2,6},{3,4,5,7}}=>{{1,4,5,6},{2},{3,7}}=>6
[2,7,1,4,5,6,3]=>[1,7,4,5,6,2,3]=>{{1},{2,7},{3,4,5,6}}=>{{1,3},{2},{4,5,6,7}}=>3
[2,7,1,4,6,3,5]=>[1,6,4,7,5,2,3]=>{{1},{2,6},{3,4,7},{5}}=>{{1,4,5},{2},{3,7},{6}}=>5
[2,7,1,4,6,5,3]=>[1,7,4,6,5,2,3]=>{{1},{2,7},{3,4,6},{5}}=>{{1,3},{2},{4,5,7},{6}}=>3
[2,7,1,5,3,4,6]=>[1,5,6,4,7,2,3]=>{{1},{2,5,7},{3,6},{4}}=>{{1,3,6},{2},{4,7},{5}}=>6
[2,7,1,5,3,6,4]=>[1,5,7,4,6,2,3]=>{{1},{2,5,6},{3,7},{4}}=>{{1,4},{2},{3,6,7},{5}}=>4
[2,7,1,5,4,3,6]=>[1,6,5,4,7,2,3]=>{{1},{2,6},{3,5,7},{4}}=>{{1,4,6},{2},{3,7},{5}}=>6
[2,7,1,5,4,6,3]=>[1,7,5,4,6,2,3]=>{{1},{2,7},{3,5,6},{4}}=>{{1,3},{2},{4,6,7},{5}}=>3
[2,7,1,5,6,3,4]=>[1,6,7,4,5,2,3]=>{{1},{2,6},{3,7},{4},{5}}=>{{1,4},{2},{3,7},{5},{6}}=>4
[2,7,1,5,6,4,3]=>[1,7,6,4,5,2,3]=>{{1},{2,7},{3,6},{4},{5}}=>{{1,3},{2},{4,7},{5},{6}}=>3
[2,7,1,6,3,4,5]=>[1,5,6,7,4,2,3]=>{{1},{2,5},{3,6},{4,7}}=>{{1,5},{2},{3,6},{4,7}}=>5
[2,7,1,6,3,5,4]=>[1,5,7,6,4,2,3]=>{{1},{2,5},{3,7},{4,6}}=>{{1,4},{2},{3,6},{5,7}}=>4
[2,7,1,6,4,3,5]=>[1,6,5,7,4,2,3]=>{{1},{2,6},{3,5},{4,7}}=>{{1,5},{2},{3,7},{4,6}}=>5
[2,7,1,6,4,5,3]=>[1,7,5,6,4,2,3]=>{{1},{2,7},{3,5},{4,6}}=>{{1,3},{2},{4,6},{5,7}}=>3
[2,7,1,6,5,3,4]=>[1,6,7,5,4,2,3]=>{{1},{2,6},{3,7},{4,5}}=>{{1,4},{2},{3,7},{5,6}}=>4
[2,7,1,6,5,4,3]=>[1,7,6,5,4,2,3]=>{{1},{2,7},{3,6},{4,5}}=>{{1,3},{2},{4,7},{5,6}}=>3
[2,7,3,1,4,5,6]=>[1,3,5,6,7,2,4]=>{{1},{2,3,5,7},{4,6}}=>{{1,3,4,6},{2},{5,7}}=>6
[2,7,3,1,4,6,5]=>[1,3,5,7,6,2,4]=>{{1},{2,3,5,6},{4,7}}=>{{1,5},{2},{3,4,6,7}}=>5
[2,7,3,1,5,4,6]=>[1,3,6,5,7,2,4]=>{{1},{2,3,6},{4,5,7}}=>{{1,5,6},{2},{3,4,7}}=>6
[2,7,3,1,5,6,4]=>[1,3,7,5,6,2,4]=>{{1},{2,3,7},{4,5,6}}=>{{1,3,4},{2},{5,6,7}}=>4
[2,7,3,1,6,4,5]=>[1,3,6,7,5,2,4]=>{{1},{2,3,6},{4,7},{5}}=>{{1,5},{2},{3,4,7},{6}}=>5
[2,7,3,1,6,5,4]=>[1,3,7,6,5,2,4]=>{{1},{2,3,7},{4,6},{5}}=>{{1,3,4},{2},{5,7},{6}}=>4
[2,7,3,4,1,5,6]=>[1,3,4,6,7,2,5]=>{{1},{2,3,4,6},{5,7}}=>{{1,6},{2},{3,4,5,7}}=>6
[2,7,3,4,1,6,5]=>[1,3,4,7,6,2,5]=>{{1},{2,3,4,7},{5,6}}=>{{1,3,4,5},{2},{6,7}}=>5
[2,7,3,4,5,1,6]=>[1,3,4,5,7,2,6]=>{{1},{2,3,4,5,7},{6}}=>{{1,3,4,5,6},{2},{7}}=>6
[2,7,3,4,5,6,1]=>[1,3,4,5,6,2,7]=>{{1},{2,3,4,5,6},{7}}=>{{1},{2},{3,4,5,6,7}}=>1
[2,7,3,4,6,1,5]=>[1,3,4,7,5,2,6]=>{{1},{2,3,4,7},{5},{6}}=>{{1,3,4,5},{2},{6},{7}}=>5
[2,7,3,4,6,5,1]=>[1,3,4,6,5,2,7]=>{{1},{2,3,4,6},{5},{7}}=>{{1},{2},{3,4,5,7},{6}}=>1
[2,7,3,5,1,4,6]=>[1,3,6,4,7,2,5]=>{{1},{2,3,6},{4},{5,7}}=>{{1,6},{2},{3,4,7},{5}}=>6
[2,7,3,5,1,6,4]=>[1,3,7,4,6,2,5]=>{{1},{2,3,7},{4},{5,6}}=>{{1,3,4},{2},{5},{6,7}}=>4
[2,7,3,5,4,1,6]=>[1,3,5,4,7,2,6]=>{{1},{2,3,5,7},{4},{6}}=>{{1,3,4,6},{2},{5},{7}}=>6
[2,7,3,5,4,6,1]=>[1,3,5,4,6,2,7]=>{{1},{2,3,5,6},{4},{7}}=>{{1},{2},{3,4,6,7},{5}}=>1
[2,7,3,5,6,1,4]=>[1,3,7,4,5,2,6]=>{{1},{2,3,7},{4},{5},{6}}=>{{1,3,4},{2},{5},{6},{7}}=>4
[2,7,3,5,6,4,1]=>[1,3,6,4,5,2,7]=>{{1},{2,3,6},{4},{5},{7}}=>{{1},{2},{3,4,7},{5},{6}}=>1
[2,7,3,6,1,4,5]=>[1,3,6,7,4,2,5]=>{{1},{2,3,6},{4,7},{5}}=>{{1,5},{2},{3,4,7},{6}}=>5
[2,7,3,6,1,5,4]=>[1,3,7,6,4,2,5]=>{{1},{2,3,7},{4,6},{5}}=>{{1,3,4},{2},{5,7},{6}}=>4
[2,7,3,6,4,1,5]=>[1,3,5,7,4,2,6]=>{{1},{2,3,5},{4,7},{6}}=>{{1,5},{2},{3,4,6},{7}}=>5
[2,7,3,6,4,5,1]=>[1,3,5,6,4,2,7]=>{{1},{2,3,5},{4,6},{7}}=>{{1},{2},{3,4,6},{5,7}}=>1
[2,7,3,6,5,1,4]=>[1,3,7,5,4,2,6]=>{{1},{2,3,7},{4,5},{6}}=>{{1,3,4},{2},{5,6},{7}}=>4
[2,7,3,6,5,4,1]=>[1,3,6,5,4,2,7]=>{{1},{2,3,6},{4,5},{7}}=>{{1},{2},{3,4,7},{5,6}}=>1
[2,7,4,1,3,5,6]=>[1,5,3,6,7,2,4]=>{{1},{2,5,7},{3},{4,6}}=>{{1,3,6},{2},{4},{5,7}}=>6
[2,7,4,1,3,6,5]=>[1,5,3,7,6,2,4]=>{{1},{2,5,6},{3},{4,7}}=>{{1,5},{2},{3,6,7},{4}}=>5
[2,7,4,1,5,3,6]=>[1,6,3,5,7,2,4]=>{{1},{2,6},{3},{4,5,7}}=>{{1,5,6},{2},{3,7},{4}}=>6
[2,7,4,1,5,6,3]=>[1,7,3,5,6,2,4]=>{{1},{2,7},{3},{4,5,6}}=>{{1,3},{2},{4},{5,6,7}}=>3
[2,7,4,1,6,3,5]=>[1,6,3,7,5,2,4]=>{{1},{2,6},{3},{4,7},{5}}=>{{1,5},{2},{3,7},{4},{6}}=>5
[2,7,4,1,6,5,3]=>[1,7,3,6,5,2,4]=>{{1},{2,7},{3},{4,6},{5}}=>{{1,3},{2},{4},{5,7},{6}}=>3
[2,7,4,3,1,5,6]=>[1,4,3,6,7,2,5]=>{{1},{2,4,6},{3},{5,7}}=>{{1,6},{2},{3,5,7},{4}}=>6
[2,7,4,3,1,6,5]=>[1,4,3,7,6,2,5]=>{{1},{2,4,7},{3},{5,6}}=>{{1,3,5},{2},{4},{6,7}}=>5
[2,7,4,3,5,1,6]=>[1,4,3,5,7,2,6]=>{{1},{2,4,5,7},{3},{6}}=>{{1,3,5,6},{2},{4},{7}}=>6
[2,7,4,3,5,6,1]=>[1,4,3,5,6,2,7]=>{{1},{2,4,5,6},{3},{7}}=>{{1},{2},{3,5,6,7},{4}}=>1
[2,7,4,3,6,1,5]=>[1,4,3,7,5,2,6]=>{{1},{2,4,7},{3},{5},{6}}=>{{1,3,5},{2},{4},{6},{7}}=>5
[2,7,4,3,6,5,1]=>[1,4,3,6,5,2,7]=>{{1},{2,4,6},{3},{5},{7}}=>{{1},{2},{3,5,7},{4},{6}}=>1
[2,7,4,5,1,3,6]=>[1,6,3,4,7,2,5]=>{{1},{2,6},{3},{4},{5,7}}=>{{1,6},{2},{3,7},{4},{5}}=>6
[2,7,4,5,1,6,3]=>[1,7,3,4,6,2,5]=>{{1},{2,7},{3},{4},{5,6}}=>{{1,3},{2},{4},{5},{6,7}}=>3
[2,7,4,5,3,1,6]=>[1,5,3,4,7,2,6]=>{{1},{2,5,7},{3},{4},{6}}=>{{1,3,6},{2},{4},{5},{7}}=>6
[2,7,4,5,3,6,1]=>[1,5,3,4,6,2,7]=>{{1},{2,5,6},{3},{4},{7}}=>{{1},{2},{3,6,7},{4},{5}}=>1
[2,7,4,5,6,1,3]=>[1,7,3,4,5,2,6]=>{{1},{2,7},{3},{4},{5},{6}}=>{{1,3},{2},{4},{5},{6},{7}}=>3
[2,7,4,5,6,3,1]=>[1,6,3,4,5,2,7]=>{{1},{2,6},{3},{4},{5},{7}}=>{{1},{2},{3,7},{4},{5},{6}}=>1
[2,7,4,6,1,3,5]=>[1,6,3,7,4,2,5]=>{{1},{2,6},{3},{4,7},{5}}=>{{1,5},{2},{3,7},{4},{6}}=>5
[2,7,4,6,1,5,3]=>[1,7,3,6,4,2,5]=>{{1},{2,7},{3},{4,6},{5}}=>{{1,3},{2},{4},{5,7},{6}}=>3
[2,7,4,6,3,1,5]=>[1,5,3,7,4,2,6]=>{{1},{2,5},{3},{4,7},{6}}=>{{1,5},{2},{3,6},{4},{7}}=>5
[2,7,4,6,3,5,1]=>[1,5,3,6,4,2,7]=>{{1},{2,5},{3},{4,6},{7}}=>{{1},{2},{3,6},{4},{5,7}}=>1
[2,7,4,6,5,1,3]=>[1,7,3,5,4,2,6]=>{{1},{2,7},{3},{4,5},{6}}=>{{1,3},{2},{4},{5,6},{7}}=>3
[2,7,4,6,5,3,1]=>[1,6,3,5,4,2,7]=>{{1},{2,6},{3},{4,5},{7}}=>{{1},{2},{3,7},{4},{5,6}}=>1
[2,7,5,1,3,4,6]=>[1,5,6,3,7,2,4]=>{{1},{2,5,7},{3,6},{4}}=>{{1,3,6},{2},{4,7},{5}}=>6
[2,7,5,1,3,6,4]=>[1,5,7,3,6,2,4]=>{{1},{2,5,6},{3,7},{4}}=>{{1,4},{2},{3,6,7},{5}}=>4
[2,7,5,1,4,3,6]=>[1,6,5,3,7,2,4]=>{{1},{2,6},{3,5,7},{4}}=>{{1,4,6},{2},{3,7},{5}}=>6
[2,7,5,1,4,6,3]=>[1,7,5,3,6,2,4]=>{{1},{2,7},{3,5,6},{4}}=>{{1,3},{2},{4,6,7},{5}}=>3
[2,7,5,1,6,3,4]=>[1,6,7,3,5,2,4]=>{{1},{2,6},{3,7},{4},{5}}=>{{1,4},{2},{3,7},{5},{6}}=>4
[2,7,5,1,6,4,3]=>[1,7,6,3,5,2,4]=>{{1},{2,7},{3,6},{4},{5}}=>{{1,3},{2},{4,7},{5},{6}}=>3
[2,7,5,3,1,4,6]=>[1,4,6,3,7,2,5]=>{{1},{2,4},{3,6},{5,7}}=>{{1,6},{2},{3,5},{4,7}}=>6
[2,7,5,3,1,6,4]=>[1,4,7,3,6,2,5]=>{{1},{2,4},{3,7},{5,6}}=>{{1,4},{2},{3,5},{6,7}}=>4
[2,7,5,3,4,1,6]=>[1,4,5,3,7,2,6]=>{{1},{2,4},{3,5,7},{6}}=>{{1,4,6},{2},{3,5},{7}}=>6
[2,7,5,3,4,6,1]=>[1,4,5,3,6,2,7]=>{{1},{2,4},{3,5,6},{7}}=>{{1},{2},{3,5},{4,6,7}}=>1
[2,7,5,3,6,1,4]=>[1,4,7,3,5,2,6]=>{{1},{2,4},{3,7},{5},{6}}=>{{1,4},{2},{3,5},{6},{7}}=>4
[2,7,5,3,6,4,1]=>[1,4,6,3,5,2,7]=>{{1},{2,4},{3,6},{5},{7}}=>{{1},{2},{3,5},{4,7},{6}}=>1
[2,7,5,4,1,3,6]=>[1,6,4,3,7,2,5]=>{{1},{2,6},{3,4},{5,7}}=>{{1,6},{2},{3,7},{4,5}}=>6
[2,7,5,4,1,6,3]=>[1,7,4,3,6,2,5]=>{{1},{2,7},{3,4},{5,6}}=>{{1,3},{2},{4,5},{6,7}}=>3
[2,7,5,4,3,1,6]=>[1,5,4,3,7,2,6]=>{{1},{2,5,7},{3,4},{6}}=>{{1,3,6},{2},{4,5},{7}}=>6
[2,7,5,4,3,6,1]=>[1,5,4,3,6,2,7]=>{{1},{2,5,6},{3,4},{7}}=>{{1},{2},{3,6,7},{4,5}}=>1
[2,7,5,4,6,1,3]=>[1,7,4,3,5,2,6]=>{{1},{2,7},{3,4},{5},{6}}=>{{1,3},{2},{4,5},{6},{7}}=>3
[2,7,5,4,6,3,1]=>[1,6,4,3,5,2,7]=>{{1},{2,6},{3,4},{5},{7}}=>{{1},{2},{3,7},{4,5},{6}}=>1
[2,7,5,6,1,3,4]=>[1,6,7,3,4,2,5]=>{{1},{2,6},{3,7},{4},{5}}=>{{1,4},{2},{3,7},{5},{6}}=>4
[2,7,5,6,1,4,3]=>[1,7,6,3,4,2,5]=>{{1},{2,7},{3,6},{4},{5}}=>{{1,3},{2},{4,7},{5},{6}}=>3
[2,7,5,6,3,1,4]=>[1,5,7,3,4,2,6]=>{{1},{2,5},{3,7},{4},{6}}=>{{1,4},{2},{3,6},{5},{7}}=>4
[2,7,5,6,3,4,1]=>[1,5,6,3,4,2,7]=>{{1},{2,5},{3,6},{4},{7}}=>{{1},{2},{3,6},{4,7},{5}}=>1
[2,7,5,6,4,1,3]=>[1,7,5,3,4,2,6]=>{{1},{2,7},{3,5},{4},{6}}=>{{1,3},{2},{4,6},{5},{7}}=>3
[2,7,5,6,4,3,1]=>[1,6,5,3,4,2,7]=>{{1},{2,6},{3,5},{4},{7}}=>{{1},{2},{3,7},{4,6},{5}}=>1
[2,7,6,1,3,4,5]=>[1,5,6,7,3,2,4]=>{{1},{2,5},{3,6},{4,7}}=>{{1,5},{2},{3,6},{4,7}}=>5
[2,7,6,1,3,5,4]=>[1,5,7,6,3,2,4]=>{{1},{2,5},{3,7},{4,6}}=>{{1,4},{2},{3,6},{5,7}}=>4
[2,7,6,1,4,3,5]=>[1,6,5,7,3,2,4]=>{{1},{2,6},{3,5},{4,7}}=>{{1,5},{2},{3,7},{4,6}}=>5
[2,7,6,1,4,5,3]=>[1,7,5,6,3,2,4]=>{{1},{2,7},{3,5},{4,6}}=>{{1,3},{2},{4,6},{5,7}}=>3
[2,7,6,1,5,3,4]=>[1,6,7,5,3,2,4]=>{{1},{2,6},{3,7},{4,5}}=>{{1,4},{2},{3,7},{5,6}}=>4
[2,7,6,1,5,4,3]=>[1,7,6,5,3,2,4]=>{{1},{2,7},{3,6},{4,5}}=>{{1,3},{2},{4,7},{5,6}}=>3
[2,7,6,3,1,4,5]=>[1,4,6,7,3,2,5]=>{{1},{2,4,7},{3,6},{5}}=>{{1,3,5},{2},{4,7},{6}}=>5
[2,7,6,3,1,5,4]=>[1,4,7,6,3,2,5]=>{{1},{2,4,6},{3,7},{5}}=>{{1,4},{2},{3,5,7},{6}}=>4
[2,7,6,3,4,1,5]=>[1,4,5,7,3,2,6]=>{{1},{2,4,7},{3,5},{6}}=>{{1,3,5},{2},{4,6},{7}}=>5
[2,7,6,3,4,5,1]=>[1,4,5,6,3,2,7]=>{{1},{2,4,6},{3,5},{7}}=>{{1},{2},{3,5,7},{4,6}}=>1
[2,7,6,3,5,1,4]=>[1,4,7,5,3,2,6]=>{{1},{2,4,5},{3,7},{6}}=>{{1,4},{2},{3,5,6},{7}}=>4
[2,7,6,3,5,4,1]=>[1,4,6,5,3,2,7]=>{{1},{2,4,5},{3,6},{7}}=>{{1},{2},{3,5,6},{4,7}}=>1
[2,7,6,4,1,3,5]=>[1,6,4,7,3,2,5]=>{{1},{2,6},{3,4,7},{5}}=>{{1,4,5},{2},{3,7},{6}}=>5
[2,7,6,4,1,5,3]=>[1,7,4,6,3,2,5]=>{{1},{2,7},{3,4,6},{5}}=>{{1,3},{2},{4,5,7},{6}}=>3
[2,7,6,4,3,1,5]=>[1,5,4,7,3,2,6]=>{{1},{2,5},{3,4,7},{6}}=>{{1,4,5},{2},{3,6},{7}}=>5
[2,7,6,4,3,5,1]=>[1,5,4,6,3,2,7]=>{{1},{2,5},{3,4,6},{7}}=>{{1},{2},{3,6},{4,5,7}}=>1
[2,7,6,4,5,1,3]=>[1,7,4,5,3,2,6]=>{{1},{2,7},{3,4,5},{6}}=>{{1,3},{2},{4,5,6},{7}}=>3
[2,7,6,4,5,3,1]=>[1,6,4,5,3,2,7]=>{{1},{2,6},{3,4,5},{7}}=>{{1},{2},{3,7},{4,5,6}}=>1
[2,7,6,5,1,3,4]=>[1,6,7,4,3,2,5]=>{{1},{2,6},{3,7},{4},{5}}=>{{1,4},{2},{3,7},{5},{6}}=>4
[2,7,6,5,1,4,3]=>[1,7,6,4,3,2,5]=>{{1},{2,7},{3,6},{4},{5}}=>{{1,3},{2},{4,7},{5},{6}}=>3
[2,7,6,5,3,1,4]=>[1,5,7,4,3,2,6]=>{{1},{2,5},{3,7},{4},{6}}=>{{1,4},{2},{3,6},{5},{7}}=>4
[2,7,6,5,3,4,1]=>[1,5,6,4,3,2,7]=>{{1},{2,5},{3,6},{4},{7}}=>{{1},{2},{3,6},{4,7},{5}}=>1
[2,7,6,5,4,1,3]=>[1,7,5,4,3,2,6]=>{{1},{2,7},{3,5},{4},{6}}=>{{1,3},{2},{4,6},{5},{7}}=>3
[2,7,6,5,4,3,1]=>[1,6,5,4,3,2,7]=>{{1},{2,6},{3,5},{4},{7}}=>{{1},{2},{3,7},{4,6},{5}}=>1
[3,1,2,4,5,6,7]=>[3,1,4,5,6,7,2]=>{{1,3,4,5,6,7},{2}}=>{{1,2,4,5,6,7},{3}}=>7
[3,1,2,4,5,7,6]=>[3,1,4,5,7,6,2]=>{{1,3,4,5,7},{2},{6}}=>{{1,2,4,5,6},{3},{7}}=>6
[3,1,2,4,6,5,7]=>[3,1,4,6,5,7,2]=>{{1,3,4,6,7},{2},{5}}=>{{1,2,4,5,7},{3},{6}}=>7
[3,1,2,4,6,7,5]=>[3,1,4,7,5,6,2]=>{{1,3,4,7},{2},{5},{6}}=>{{1,2,4,5},{3},{6},{7}}=>5
[3,1,2,4,7,5,6]=>[3,1,4,6,7,5,2]=>{{1,3,4,6},{2},{5,7}}=>{{1,6},{2,4,5,7},{3}}=>6
[3,1,2,4,7,6,5]=>[3,1,4,7,6,5,2]=>{{1,3,4,7},{2},{5,6}}=>{{1,2,4,5},{3},{6,7}}=>5
[3,1,2,5,4,6,7]=>[3,1,5,4,6,7,2]=>{{1,3,5,6,7},{2},{4}}=>{{1,2,4,6,7},{3},{5}}=>7
[3,1,2,5,4,7,6]=>[3,1,5,4,7,6,2]=>{{1,3,5,7},{2},{4},{6}}=>{{1,2,4,6},{3},{5},{7}}=>6
[3,1,2,5,6,4,7]=>[3,1,6,4,5,7,2]=>{{1,3,6,7},{2},{4},{5}}=>{{1,2,4,7},{3},{5},{6}}=>7
[3,1,2,5,6,7,4]=>[3,1,7,4,5,6,2]=>{{1,3,7},{2},{4},{5},{6}}=>{{1,2,4},{3},{5},{6},{7}}=>4
[3,1,2,5,7,4,6]=>[3,1,6,4,7,5,2]=>{{1,3,6},{2},{4},{5,7}}=>{{1,6},{2,4,7},{3},{5}}=>6
[3,1,2,5,7,6,4]=>[3,1,7,4,6,5,2]=>{{1,3,7},{2},{4},{5,6}}=>{{1,2,4},{3},{5},{6,7}}=>4
[3,1,2,6,4,5,7]=>[3,1,5,6,4,7,2]=>{{1,3,5},{2},{4,6,7}}=>{{1,5,7},{2,4,6},{3}}=>7
[3,1,2,6,4,7,5]=>[3,1,5,7,4,6,2]=>{{1,3,5},{2},{4,7},{6}}=>{{1,5},{2,4,6},{3},{7}}=>5
[3,1,2,6,5,4,7]=>[3,1,6,5,4,7,2]=>{{1,3,6,7},{2},{4,5}}=>{{1,2,4,7},{3},{5,6}}=>7
[3,1,2,6,5,7,4]=>[3,1,7,5,4,6,2]=>{{1,3,7},{2},{4,5},{6}}=>{{1,2,4},{3},{5,6},{7}}=>4
[3,1,2,6,7,4,5]=>[3,1,6,7,4,5,2]=>{{1,3,6},{2},{4,7},{5}}=>{{1,5},{2,4,7},{3},{6}}=>5
[3,1,2,6,7,5,4]=>[3,1,7,6,4,5,2]=>{{1,3,7},{2},{4,6},{5}}=>{{1,2,4},{3},{5,7},{6}}=>4
[3,1,2,7,4,5,6]=>[3,1,5,6,7,4,2]=>{{1,3,5,7},{2},{4,6}}=>{{1,2,4,6},{3},{5,7}}=>6
[3,1,2,7,4,6,5]=>[3,1,5,7,6,4,2]=>{{1,3,5,6},{2},{4,7}}=>{{1,5},{2,4,6,7},{3}}=>5
[3,1,2,7,5,4,6]=>[3,1,6,5,7,4,2]=>{{1,3,6},{2},{4,5,7}}=>{{1,5,6},{2,4,7},{3}}=>6
[3,1,2,7,5,6,4]=>[3,1,7,5,6,4,2]=>{{1,3,7},{2},{4,5,6}}=>{{1,2,4},{3},{5,6,7}}=>4
[3,1,2,7,6,4,5]=>[3,1,6,7,5,4,2]=>{{1,3,6},{2},{4,7},{5}}=>{{1,5},{2,4,7},{3},{6}}=>5
[3,1,2,7,6,5,4]=>[3,1,7,6,5,4,2]=>{{1,3,7},{2},{4,6},{5}}=>{{1,2,4},{3},{5,7},{6}}=>4
[3,1,4,2,5,6,7]=>[4,1,3,5,6,7,2]=>{{1,4,5,6,7},{2},{3}}=>{{1,2,5,6,7},{3},{4}}=>7
[3,1,4,2,5,7,6]=>[4,1,3,5,7,6,2]=>{{1,4,5,7},{2},{3},{6}}=>{{1,2,5,6},{3},{4},{7}}=>6
[3,1,4,2,6,5,7]=>[4,1,3,6,5,7,2]=>{{1,4,6,7},{2},{3},{5}}=>{{1,2,5,7},{3},{4},{6}}=>7
[3,1,4,2,6,7,5]=>[4,1,3,7,5,6,2]=>{{1,4,7},{2},{3},{5},{6}}=>{{1,2,5},{3},{4},{6},{7}}=>5
[3,1,4,2,7,5,6]=>[4,1,3,6,7,5,2]=>{{1,4,6},{2},{3},{5,7}}=>{{1,6},{2,5,7},{3},{4}}=>6
[3,1,4,2,7,6,5]=>[4,1,3,7,6,5,2]=>{{1,4,7},{2},{3},{5,6}}=>{{1,2,5},{3},{4},{6,7}}=>5
[3,1,4,5,2,6,7]=>[5,1,3,4,6,7,2]=>{{1,5,6,7},{2},{3},{4}}=>{{1,2,6,7},{3},{4},{5}}=>7
[3,1,4,5,2,7,6]=>[5,1,3,4,7,6,2]=>{{1,5,7},{2},{3},{4},{6}}=>{{1,2,6},{3},{4},{5},{7}}=>6
[3,1,4,5,6,2,7]=>[6,1,3,4,5,7,2]=>{{1,6,7},{2},{3},{4},{5}}=>{{1,2,7},{3},{4},{5},{6}}=>7
[3,1,4,5,6,7,2]=>[7,1,3,4,5,6,2]=>{{1,7},{2},{3},{4},{5},{6}}=>{{1,2},{3},{4},{5},{6},{7}}=>2
[3,1,4,5,7,2,6]=>[6,1,3,4,7,5,2]=>{{1,6},{2},{3},{4},{5,7}}=>{{1,6},{2,7},{3},{4},{5}}=>6
[3,1,4,5,7,6,2]=>[7,1,3,4,6,5,2]=>{{1,7},{2},{3},{4},{5,6}}=>{{1,2},{3},{4},{5},{6,7}}=>2
[3,1,4,6,2,5,7]=>[5,1,3,6,4,7,2]=>{{1,5},{2},{3},{4,6,7}}=>{{1,5,7},{2,6},{3},{4}}=>7
[3,1,4,6,2,7,5]=>[5,1,3,7,4,6,2]=>{{1,5},{2},{3},{4,7},{6}}=>{{1,5},{2,6},{3},{4},{7}}=>5
[3,1,4,6,5,2,7]=>[6,1,3,5,4,7,2]=>{{1,6,7},{2},{3},{4,5}}=>{{1,2,7},{3},{4},{5,6}}=>7
[3,1,4,6,5,7,2]=>[7,1,3,5,4,6,2]=>{{1,7},{2},{3},{4,5},{6}}=>{{1,2},{3},{4},{5,6},{7}}=>2
[3,1,4,6,7,2,5]=>[6,1,3,7,4,5,2]=>{{1,6},{2},{3},{4,7},{5}}=>{{1,5},{2,7},{3},{4},{6}}=>5
[3,1,4,6,7,5,2]=>[7,1,3,6,4,5,2]=>{{1,7},{2},{3},{4,6},{5}}=>{{1,2},{3},{4},{5,7},{6}}=>2
[3,1,4,7,2,5,6]=>[5,1,3,6,7,4,2]=>{{1,5,7},{2},{3},{4,6}}=>{{1,2,6},{3},{4},{5,7}}=>6
[3,1,4,7,2,6,5]=>[5,1,3,7,6,4,2]=>{{1,5,6},{2},{3},{4,7}}=>{{1,5},{2,6,7},{3},{4}}=>5
[3,1,4,7,5,2,6]=>[6,1,3,5,7,4,2]=>{{1,6},{2},{3},{4,5,7}}=>{{1,5,6},{2,7},{3},{4}}=>6
[3,1,4,7,5,6,2]=>[7,1,3,5,6,4,2]=>{{1,7},{2},{3},{4,5,6}}=>{{1,2},{3},{4},{5,6,7}}=>2
[3,1,4,7,6,2,5]=>[6,1,3,7,5,4,2]=>{{1,6},{2},{3},{4,7},{5}}=>{{1,5},{2,7},{3},{4},{6}}=>5
[3,1,4,7,6,5,2]=>[7,1,3,6,5,4,2]=>{{1,7},{2},{3},{4,6},{5}}=>{{1,2},{3},{4},{5,7},{6}}=>2
[3,1,5,2,4,6,7]=>[4,1,5,3,6,7,2]=>{{1,4},{2},{3,5,6,7}}=>{{1,4,6,7},{2,5},{3}}=>7
[3,1,5,2,4,7,6]=>[4,1,5,3,7,6,2]=>{{1,4},{2},{3,5,7},{6}}=>{{1,4,6},{2,5},{3},{7}}=>6
[3,1,5,2,6,4,7]=>[4,1,6,3,5,7,2]=>{{1,4},{2},{3,6,7},{5}}=>{{1,4,7},{2,5},{3},{6}}=>7
[3,1,5,2,6,7,4]=>[4,1,7,3,5,6,2]=>{{1,4},{2},{3,7},{5},{6}}=>{{1,4},{2,5},{3},{6},{7}}=>4
[3,1,5,2,7,4,6]=>[4,1,6,3,7,5,2]=>{{1,4},{2},{3,6},{5,7}}=>{{1,6},{2,5},{3},{4,7}}=>6
[3,1,5,2,7,6,4]=>[4,1,7,3,6,5,2]=>{{1,4},{2},{3,7},{5,6}}=>{{1,4},{2,5},{3},{6,7}}=>4
[3,1,5,4,2,6,7]=>[5,1,4,3,6,7,2]=>{{1,5,6,7},{2},{3,4}}=>{{1,2,6,7},{3},{4,5}}=>7
[3,1,5,4,2,7,6]=>[5,1,4,3,7,6,2]=>{{1,5,7},{2},{3,4},{6}}=>{{1,2,6},{3},{4,5},{7}}=>6
[3,1,5,4,6,2,7]=>[6,1,4,3,5,7,2]=>{{1,6,7},{2},{3,4},{5}}=>{{1,2,7},{3},{4,5},{6}}=>7
[3,1,5,4,6,7,2]=>[7,1,4,3,5,6,2]=>{{1,7},{2},{3,4},{5},{6}}=>{{1,2},{3},{4,5},{6},{7}}=>2
[3,1,5,4,7,2,6]=>[6,1,4,3,7,5,2]=>{{1,6},{2},{3,4},{5,7}}=>{{1,6},{2,7},{3},{4,5}}=>6
[3,1,5,4,7,6,2]=>[7,1,4,3,6,5,2]=>{{1,7},{2},{3,4},{5,6}}=>{{1,2},{3},{4,5},{6,7}}=>2
[3,1,5,6,2,4,7]=>[5,1,6,3,4,7,2]=>{{1,5},{2},{3,6,7},{4}}=>{{1,4,7},{2,6},{3},{5}}=>7
[3,1,5,6,2,7,4]=>[5,1,7,3,4,6,2]=>{{1,5},{2},{3,7},{4},{6}}=>{{1,4},{2,6},{3},{5},{7}}=>4
[3,1,5,6,4,2,7]=>[6,1,5,3,4,7,2]=>{{1,6,7},{2},{3,5},{4}}=>{{1,2,7},{3},{4,6},{5}}=>7
[3,1,5,6,4,7,2]=>[7,1,5,3,4,6,2]=>{{1,7},{2},{3,5},{4},{6}}=>{{1,2},{3},{4,6},{5},{7}}=>2
[3,1,5,6,7,2,4]=>[6,1,7,3,4,5,2]=>{{1,6},{2},{3,7},{4},{5}}=>{{1,4},{2,7},{3},{5},{6}}=>4
[3,1,5,6,7,4,2]=>[7,1,6,3,4,5,2]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,2},{3},{4,7},{5},{6}}=>2
[3,1,5,7,2,4,6]=>[5,1,6,3,7,4,2]=>{{1,5,7},{2},{3,6},{4}}=>{{1,2,6},{3},{4,7},{5}}=>6
[3,1,5,7,2,6,4]=>[5,1,7,3,6,4,2]=>{{1,5,6},{2},{3,7},{4}}=>{{1,4},{2,6,7},{3},{5}}=>4
[3,1,5,7,4,2,6]=>[6,1,5,3,7,4,2]=>{{1,6},{2},{3,5,7},{4}}=>{{1,4,6},{2,7},{3},{5}}=>6
[3,1,5,7,4,6,2]=>[7,1,5,3,6,4,2]=>{{1,7},{2},{3,5,6},{4}}=>{{1,2},{3},{4,6,7},{5}}=>2
[3,1,5,7,6,2,4]=>[6,1,7,3,5,4,2]=>{{1,6},{2},{3,7},{4},{5}}=>{{1,4},{2,7},{3},{5},{6}}=>4
[3,1,5,7,6,4,2]=>[7,1,6,3,5,4,2]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,2},{3},{4,7},{5},{6}}=>2
[3,1,6,2,4,5,7]=>[4,1,5,6,3,7,2]=>{{1,4,6,7},{2},{3,5}}=>{{1,2,5,7},{3},{4,6}}=>7
[3,1,6,2,4,7,5]=>[4,1,5,7,3,6,2]=>{{1,4,7},{2},{3,5},{6}}=>{{1,2,5},{3},{4,6},{7}}=>5
[3,1,6,2,5,4,7]=>[4,1,6,5,3,7,2]=>{{1,4,5},{2},{3,6,7}}=>{{1,4,7},{2,5,6},{3}}=>7
[3,1,6,2,5,7,4]=>[4,1,7,5,3,6,2]=>{{1,4,5},{2},{3,7},{6}}=>{{1,4},{2,5,6},{3},{7}}=>4
[3,1,6,2,7,4,5]=>[4,1,6,7,3,5,2]=>{{1,4,7},{2},{3,6},{5}}=>{{1,2,5},{3},{4,7},{6}}=>5
[3,1,6,2,7,5,4]=>[4,1,7,6,3,5,2]=>{{1,4,6},{2},{3,7},{5}}=>{{1,4},{2,5,7},{3},{6}}=>4
[3,1,6,4,2,5,7]=>[5,1,4,6,3,7,2]=>{{1,5},{2},{3,4,6,7}}=>{{1,4,5,7},{2,6},{3}}=>7
[3,1,6,4,2,7,5]=>[5,1,4,7,3,6,2]=>{{1,5},{2},{3,4,7},{6}}=>{{1,4,5},{2,6},{3},{7}}=>5
[3,1,6,4,5,2,7]=>[6,1,4,5,3,7,2]=>{{1,6,7},{2},{3,4,5}}=>{{1,2,7},{3},{4,5,6}}=>7
[3,1,6,4,5,7,2]=>[7,1,4,5,3,6,2]=>{{1,7},{2},{3,4,5},{6}}=>{{1,2},{3},{4,5,6},{7}}=>2
[3,1,6,4,7,2,5]=>[6,1,4,7,3,5,2]=>{{1,6},{2},{3,4,7},{5}}=>{{1,4,5},{2,7},{3},{6}}=>5
[3,1,6,4,7,5,2]=>[7,1,4,6,3,5,2]=>{{1,7},{2},{3,4,6},{5}}=>{{1,2},{3},{4,5,7},{6}}=>2
[3,1,6,5,2,4,7]=>[5,1,6,4,3,7,2]=>{{1,5},{2},{3,6,7},{4}}=>{{1,4,7},{2,6},{3},{5}}=>7
[3,1,6,5,2,7,4]=>[5,1,7,4,3,6,2]=>{{1,5},{2},{3,7},{4},{6}}=>{{1,4},{2,6},{3},{5},{7}}=>4
[3,1,6,5,4,2,7]=>[6,1,5,4,3,7,2]=>{{1,6,7},{2},{3,5},{4}}=>{{1,2,7},{3},{4,6},{5}}=>7
[3,1,6,5,4,7,2]=>[7,1,5,4,3,6,2]=>{{1,7},{2},{3,5},{4},{6}}=>{{1,2},{3},{4,6},{5},{7}}=>2
[3,1,6,5,7,2,4]=>[6,1,7,4,3,5,2]=>{{1,6},{2},{3,7},{4},{5}}=>{{1,4},{2,7},{3},{5},{6}}=>4
[3,1,6,5,7,4,2]=>[7,1,6,4,3,5,2]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,2},{3},{4,7},{5},{6}}=>2
[3,1,6,7,2,4,5]=>[5,1,6,7,3,4,2]=>{{1,5},{2},{3,6},{4,7}}=>{{1,5},{2,6},{3},{4,7}}=>5
[3,1,6,7,2,5,4]=>[5,1,7,6,3,4,2]=>{{1,5},{2},{3,7},{4,6}}=>{{1,4},{2,6},{3},{5,7}}=>4
[3,1,6,7,4,2,5]=>[6,1,5,7,3,4,2]=>{{1,6},{2},{3,5},{4,7}}=>{{1,5},{2,7},{3},{4,6}}=>5
[3,1,6,7,4,5,2]=>[7,1,5,6,3,4,2]=>{{1,7},{2},{3,5},{4,6}}=>{{1,2},{3},{4,6},{5,7}}=>2
[3,1,6,7,5,2,4]=>[6,1,7,5,3,4,2]=>{{1,6},{2},{3,7},{4,5}}=>{{1,4},{2,7},{3},{5,6}}=>4
[3,1,6,7,5,4,2]=>[7,1,6,5,3,4,2]=>{{1,7},{2},{3,6},{4,5}}=>{{1,2},{3},{4,7},{5,6}}=>2
[3,1,7,2,4,5,6]=>[4,1,5,6,7,3,2]=>{{1,4,6},{2},{3,5,7}}=>{{1,4,6},{2,5,7},{3}}=>6
[3,1,7,2,4,6,5]=>[4,1,5,7,6,3,2]=>{{1,4,7},{2},{3,5,6}}=>{{1,2,5},{3},{4,6,7}}=>5
[3,1,7,2,5,4,6]=>[4,1,6,5,7,3,2]=>{{1,4,5,7},{2},{3,6}}=>{{1,2,5,6},{3},{4,7}}=>6
[3,1,7,2,5,6,4]=>[4,1,7,5,6,3,2]=>{{1,4,5,6},{2},{3,7}}=>{{1,4},{2,5,6,7},{3}}=>4
[3,1,7,2,6,4,5]=>[4,1,6,7,5,3,2]=>{{1,4,7},{2},{3,6},{5}}=>{{1,2,5},{3},{4,7},{6}}=>5
[3,1,7,2,6,5,4]=>[4,1,7,6,5,3,2]=>{{1,4,6},{2},{3,7},{5}}=>{{1,4},{2,5,7},{3},{6}}=>4
[3,1,7,4,2,5,6]=>[5,1,4,6,7,3,2]=>{{1,5,7},{2},{3,4,6}}=>{{1,2,6},{3},{4,5,7}}=>6
[3,1,7,4,2,6,5]=>[5,1,4,7,6,3,2]=>{{1,5,6},{2},{3,4,7}}=>{{1,4,5},{2,6,7},{3}}=>5
[3,1,7,4,5,2,6]=>[6,1,4,5,7,3,2]=>{{1,6},{2},{3,4,5,7}}=>{{1,4,5,6},{2,7},{3}}=>6
[3,1,7,4,5,6,2]=>[7,1,4,5,6,3,2]=>{{1,7},{2},{3,4,5,6}}=>{{1,2},{3},{4,5,6,7}}=>2
[3,1,7,4,6,2,5]=>[6,1,4,7,5,3,2]=>{{1,6},{2},{3,4,7},{5}}=>{{1,4,5},{2,7},{3},{6}}=>5
[3,1,7,4,6,5,2]=>[7,1,4,6,5,3,2]=>{{1,7},{2},{3,4,6},{5}}=>{{1,2},{3},{4,5,7},{6}}=>2
[3,1,7,5,2,4,6]=>[5,1,6,4,7,3,2]=>{{1,5,7},{2},{3,6},{4}}=>{{1,2,6},{3},{4,7},{5}}=>6
[3,1,7,5,2,6,4]=>[5,1,7,4,6,3,2]=>{{1,5,6},{2},{3,7},{4}}=>{{1,4},{2,6,7},{3},{5}}=>4
[3,1,7,5,4,2,6]=>[6,1,5,4,7,3,2]=>{{1,6},{2},{3,5,7},{4}}=>{{1,4,6},{2,7},{3},{5}}=>6
[3,1,7,5,4,6,2]=>[7,1,5,4,6,3,2]=>{{1,7},{2},{3,5,6},{4}}=>{{1,2},{3},{4,6,7},{5}}=>2
[3,1,7,5,6,2,4]=>[6,1,7,4,5,3,2]=>{{1,6},{2},{3,7},{4},{5}}=>{{1,4},{2,7},{3},{5},{6}}=>4
[3,1,7,5,6,4,2]=>[7,1,6,4,5,3,2]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,2},{3},{4,7},{5},{6}}=>2
[3,1,7,6,2,4,5]=>[5,1,6,7,4,3,2]=>{{1,5},{2},{3,6},{4,7}}=>{{1,5},{2,6},{3},{4,7}}=>5
[3,1,7,6,2,5,4]=>[5,1,7,6,4,3,2]=>{{1,5},{2},{3,7},{4,6}}=>{{1,4},{2,6},{3},{5,7}}=>4
[3,1,7,6,4,2,5]=>[6,1,5,7,4,3,2]=>{{1,6},{2},{3,5},{4,7}}=>{{1,5},{2,7},{3},{4,6}}=>5
[3,1,7,6,4,5,2]=>[7,1,5,6,4,3,2]=>{{1,7},{2},{3,5},{4,6}}=>{{1,2},{3},{4,6},{5,7}}=>2
[3,1,7,6,5,2,4]=>[6,1,7,5,4,3,2]=>{{1,6},{2},{3,7},{4,5}}=>{{1,4},{2,7},{3},{5,6}}=>4
[3,1,7,6,5,4,2]=>[7,1,6,5,4,3,2]=>{{1,7},{2},{3,6},{4,5}}=>{{1,2},{3},{4,7},{5,6}}=>2
[3,2,1,4,5,6,7]=>[2,1,4,5,6,7,3]=>{{1,2},{3,4,5,6,7}}=>{{1,4,5,6,7},{2,3}}=>7
[3,2,1,4,5,7,6]=>[2,1,4,5,7,6,3]=>{{1,2},{3,4,5,7},{6}}=>{{1,4,5,6},{2,3},{7}}=>6
[3,2,1,4,6,5,7]=>[2,1,4,6,5,7,3]=>{{1,2},{3,4,6,7},{5}}=>{{1,4,5,7},{2,3},{6}}=>7
[3,2,1,4,6,7,5]=>[2,1,4,7,5,6,3]=>{{1,2},{3,4,7},{5},{6}}=>{{1,4,5},{2,3},{6},{7}}=>5
[3,2,1,4,7,5,6]=>[2,1,4,6,7,5,3]=>{{1,2},{3,4,6},{5,7}}=>{{1,6},{2,3},{4,5,7}}=>6
[3,2,1,4,7,6,5]=>[2,1,4,7,6,5,3]=>{{1,2},{3,4,7},{5,6}}=>{{1,4,5},{2,3},{6,7}}=>5
[3,2,1,5,4,6,7]=>[2,1,5,4,6,7,3]=>{{1,2},{3,5,6,7},{4}}=>{{1,4,6,7},{2,3},{5}}=>7
[3,2,1,5,4,7,6]=>[2,1,5,4,7,6,3]=>{{1,2},{3,5,7},{4},{6}}=>{{1,4,6},{2,3},{5},{7}}=>6
[3,2,1,5,6,4,7]=>[2,1,6,4,5,7,3]=>{{1,2},{3,6,7},{4},{5}}=>{{1,4,7},{2,3},{5},{6}}=>7
[3,2,1,5,6,7,4]=>[2,1,7,4,5,6,3]=>{{1,2},{3,7},{4},{5},{6}}=>{{1,4},{2,3},{5},{6},{7}}=>4
[3,2,1,5,7,4,6]=>[2,1,6,4,7,5,3]=>{{1,2},{3,6},{4},{5,7}}=>{{1,6},{2,3},{4,7},{5}}=>6
[3,2,1,5,7,6,4]=>[2,1,7,4,6,5,3]=>{{1,2},{3,7},{4},{5,6}}=>{{1,4},{2,3},{5},{6,7}}=>4
[3,2,1,6,4,5,7]=>[2,1,5,6,4,7,3]=>{{1,2},{3,5},{4,6,7}}=>{{1,5,7},{2,3},{4,6}}=>7
[3,2,1,6,4,7,5]=>[2,1,5,7,4,6,3]=>{{1,2},{3,5},{4,7},{6}}=>{{1,5},{2,3},{4,6},{7}}=>5
[3,2,1,6,5,4,7]=>[2,1,6,5,4,7,3]=>{{1,2},{3,6,7},{4,5}}=>{{1,4,7},{2,3},{5,6}}=>7
[3,2,1,6,5,7,4]=>[2,1,7,5,4,6,3]=>{{1,2},{3,7},{4,5},{6}}=>{{1,4},{2,3},{5,6},{7}}=>4
[3,2,1,6,7,4,5]=>[2,1,6,7,4,5,3]=>{{1,2},{3,6},{4,7},{5}}=>{{1,5},{2,3},{4,7},{6}}=>5
[3,2,1,6,7,5,4]=>[2,1,7,6,4,5,3]=>{{1,2},{3,7},{4,6},{5}}=>{{1,4},{2,3},{5,7},{6}}=>4
[3,2,1,7,4,5,6]=>[2,1,5,6,7,4,3]=>{{1,2},{3,5,7},{4,6}}=>{{1,4,6},{2,3},{5,7}}=>6
[3,2,1,7,4,6,5]=>[2,1,5,7,6,4,3]=>{{1,2},{3,5,6},{4,7}}=>{{1,5},{2,3},{4,6,7}}=>5
[3,2,1,7,5,4,6]=>[2,1,6,5,7,4,3]=>{{1,2},{3,6},{4,5,7}}=>{{1,5,6},{2,3},{4,7}}=>6
[3,2,1,7,5,6,4]=>[2,1,7,5,6,4,3]=>{{1,2},{3,7},{4,5,6}}=>{{1,4},{2,3},{5,6,7}}=>4
[3,2,1,7,6,4,5]=>[2,1,6,7,5,4,3]=>{{1,2},{3,6},{4,7},{5}}=>{{1,5},{2,3},{4,7},{6}}=>5
[3,2,1,7,6,5,4]=>[2,1,7,6,5,4,3]=>{{1,2},{3,7},{4,6},{5}}=>{{1,4},{2,3},{5,7},{6}}=>4
[3,2,4,1,5,6,7]=>[2,1,3,5,6,7,4]=>{{1,2},{3},{4,5,6,7}}=>{{1,5,6,7},{2,3},{4}}=>7
[3,2,4,1,5,7,6]=>[2,1,3,5,7,6,4]=>{{1,2},{3},{4,5,7},{6}}=>{{1,5,6},{2,3},{4},{7}}=>6
[3,2,4,1,6,5,7]=>[2,1,3,6,5,7,4]=>{{1,2},{3},{4,6,7},{5}}=>{{1,5,7},{2,3},{4},{6}}=>7
[3,2,4,1,6,7,5]=>[2,1,3,7,5,6,4]=>{{1,2},{3},{4,7},{5},{6}}=>{{1,5},{2,3},{4},{6},{7}}=>5
[3,2,4,1,7,5,6]=>[2,1,3,6,7,5,4]=>{{1,2},{3},{4,6},{5,7}}=>{{1,6},{2,3},{4},{5,7}}=>6
[3,2,4,1,7,6,5]=>[2,1,3,7,6,5,4]=>{{1,2},{3},{4,7},{5,6}}=>{{1,5},{2,3},{4},{6,7}}=>5
[3,2,4,5,1,6,7]=>[2,1,3,4,6,7,5]=>{{1,2},{3},{4},{5,6,7}}=>{{1,6,7},{2,3},{4},{5}}=>7
[3,2,4,5,1,7,6]=>[2,1,3,4,7,6,5]=>{{1,2},{3},{4},{5,7},{6}}=>{{1,6},{2,3},{4},{5},{7}}=>6
[3,2,4,5,6,1,7]=>[2,1,3,4,5,7,6]=>{{1,2},{3},{4},{5},{6,7}}=>{{1,7},{2,3},{4},{5},{6}}=>7
[3,2,4,5,6,7,1]=>[2,1,3,4,5,6,7]=>{{1,2},{3},{4},{5},{6},{7}}=>{{1},{2,3},{4},{5},{6},{7}}=>1
[3,2,4,5,7,1,6]=>[2,1,3,4,7,5,6]=>{{1,2},{3},{4},{5,7},{6}}=>{{1,6},{2,3},{4},{5},{7}}=>6
[3,2,4,5,7,6,1]=>[2,1,3,4,6,5,7]=>{{1,2},{3},{4},{5,6},{7}}=>{{1},{2,3},{4},{5},{6,7}}=>1
[3,2,4,6,1,5,7]=>[2,1,3,6,4,7,5]=>{{1,2},{3},{4,6,7},{5}}=>{{1,5,7},{2,3},{4},{6}}=>7
[3,2,4,6,1,7,5]=>[2,1,3,7,4,6,5]=>{{1,2},{3},{4,7},{5},{6}}=>{{1,5},{2,3},{4},{6},{7}}=>5
[3,2,4,6,5,1,7]=>[2,1,3,5,4,7,6]=>{{1,2},{3},{4,5},{6,7}}=>{{1,7},{2,3},{4},{5,6}}=>7
[3,2,4,6,5,7,1]=>[2,1,3,5,4,6,7]=>{{1,2},{3},{4,5},{6},{7}}=>{{1},{2,3},{4},{5,6},{7}}=>1
[3,2,4,6,7,1,5]=>[2,1,3,7,4,5,6]=>{{1,2},{3},{4,7},{5},{6}}=>{{1,5},{2,3},{4},{6},{7}}=>5
[3,2,4,6,7,5,1]=>[2,1,3,6,4,5,7]=>{{1,2},{3},{4,6},{5},{7}}=>{{1},{2,3},{4},{5,7},{6}}=>1
[3,2,4,7,1,5,6]=>[2,1,3,6,7,4,5]=>{{1,2},{3},{4,6},{5,7}}=>{{1,6},{2,3},{4},{5,7}}=>6
[3,2,4,7,1,6,5]=>[2,1,3,7,6,4,5]=>{{1,2},{3},{4,7},{5,6}}=>{{1,5},{2,3},{4},{6,7}}=>5
[3,2,4,7,5,1,6]=>[2,1,3,5,7,4,6]=>{{1,2},{3},{4,5,7},{6}}=>{{1,5,6},{2,3},{4},{7}}=>6
[3,2,4,7,5,6,1]=>[2,1,3,5,6,4,7]=>{{1,2},{3},{4,5,6},{7}}=>{{1},{2,3},{4},{5,6,7}}=>1
[3,2,4,7,6,1,5]=>[2,1,3,7,5,4,6]=>{{1,2},{3},{4,7},{5},{6}}=>{{1,5},{2,3},{4},{6},{7}}=>5
[3,2,4,7,6,5,1]=>[2,1,3,6,5,4,7]=>{{1,2},{3},{4,6},{5},{7}}=>{{1},{2,3},{4},{5,7},{6}}=>1
[3,2,5,1,4,6,7]=>[2,1,5,3,6,7,4]=>{{1,2},{3,5,6,7},{4}}=>{{1,4,6,7},{2,3},{5}}=>7
[3,2,5,1,4,7,6]=>[2,1,5,3,7,6,4]=>{{1,2},{3,5,7},{4},{6}}=>{{1,4,6},{2,3},{5},{7}}=>6
[3,2,5,1,6,4,7]=>[2,1,6,3,5,7,4]=>{{1,2},{3,6,7},{4},{5}}=>{{1,4,7},{2,3},{5},{6}}=>7
[3,2,5,1,6,7,4]=>[2,1,7,3,5,6,4]=>{{1,2},{3,7},{4},{5},{6}}=>{{1,4},{2,3},{5},{6},{7}}=>4
[3,2,5,1,7,4,6]=>[2,1,6,3,7,5,4]=>{{1,2},{3,6},{4},{5,7}}=>{{1,6},{2,3},{4,7},{5}}=>6
[3,2,5,1,7,6,4]=>[2,1,7,3,6,5,4]=>{{1,2},{3,7},{4},{5,6}}=>{{1,4},{2,3},{5},{6,7}}=>4
[3,2,5,4,1,6,7]=>[2,1,4,3,6,7,5]=>{{1,2},{3,4},{5,6,7}}=>{{1,6,7},{2,3},{4,5}}=>7
[3,2,5,4,1,7,6]=>[2,1,4,3,7,6,5]=>{{1,2},{3,4},{5,7},{6}}=>{{1,6},{2,3},{4,5},{7}}=>6
[3,2,5,4,6,1,7]=>[2,1,4,3,5,7,6]=>{{1,2},{3,4},{5},{6,7}}=>{{1,7},{2,3},{4,5},{6}}=>7
[3,2,5,4,6,7,1]=>[2,1,4,3,5,6,7]=>{{1,2},{3,4},{5},{6},{7}}=>{{1},{2,3},{4,5},{6},{7}}=>1
[3,2,5,4,7,1,6]=>[2,1,4,3,7,5,6]=>{{1,2},{3,4},{5,7},{6}}=>{{1,6},{2,3},{4,5},{7}}=>6
[3,2,5,4,7,6,1]=>[2,1,4,3,6,5,7]=>{{1,2},{3,4},{5,6},{7}}=>{{1},{2,3},{4,5},{6,7}}=>1
[3,2,5,6,1,4,7]=>[2,1,6,3,4,7,5]=>{{1,2},{3,6,7},{4},{5}}=>{{1,4,7},{2,3},{5},{6}}=>7
[3,2,5,6,1,7,4]=>[2,1,7,3,4,6,5]=>{{1,2},{3,7},{4},{5},{6}}=>{{1,4},{2,3},{5},{6},{7}}=>4
[3,2,5,6,4,1,7]=>[2,1,5,3,4,7,6]=>{{1,2},{3,5},{4},{6,7}}=>{{1,7},{2,3},{4,6},{5}}=>7
[3,2,5,6,4,7,1]=>[2,1,5,3,4,6,7]=>{{1,2},{3,5},{4},{6},{7}}=>{{1},{2,3},{4,6},{5},{7}}=>1
[3,2,5,6,7,1,4]=>[2,1,7,3,4,5,6]=>{{1,2},{3,7},{4},{5},{6}}=>{{1,4},{2,3},{5},{6},{7}}=>4
[3,2,5,6,7,4,1]=>[2,1,6,3,4,5,7]=>{{1,2},{3,6},{4},{5},{7}}=>{{1},{2,3},{4,7},{5},{6}}=>1
[3,2,5,7,1,4,6]=>[2,1,6,3,7,4,5]=>{{1,2},{3,6},{4},{5,7}}=>{{1,6},{2,3},{4,7},{5}}=>6
[3,2,5,7,1,6,4]=>[2,1,7,3,6,4,5]=>{{1,2},{3,7},{4},{5,6}}=>{{1,4},{2,3},{5},{6,7}}=>4
[3,2,5,7,4,1,6]=>[2,1,5,3,7,4,6]=>{{1,2},{3,5,7},{4},{6}}=>{{1,4,6},{2,3},{5},{7}}=>6
[3,2,5,7,4,6,1]=>[2,1,5,3,6,4,7]=>{{1,2},{3,5,6},{4},{7}}=>{{1},{2,3},{4,6,7},{5}}=>1
[3,2,5,7,6,1,4]=>[2,1,7,3,5,4,6]=>{{1,2},{3,7},{4},{5},{6}}=>{{1,4},{2,3},{5},{6},{7}}=>4
[3,2,5,7,6,4,1]=>[2,1,6,3,5,4,7]=>{{1,2},{3,6},{4},{5},{7}}=>{{1},{2,3},{4,7},{5},{6}}=>1
[3,2,6,1,4,5,7]=>[2,1,5,6,3,7,4]=>{{1,2},{3,5},{4,6,7}}=>{{1,5,7},{2,3},{4,6}}=>7
[3,2,6,1,4,7,5]=>[2,1,5,7,3,6,4]=>{{1,2},{3,5},{4,7},{6}}=>{{1,5},{2,3},{4,6},{7}}=>5
[3,2,6,1,5,4,7]=>[2,1,6,5,3,7,4]=>{{1,2},{3,6,7},{4,5}}=>{{1,4,7},{2,3},{5,6}}=>7
[3,2,6,1,5,7,4]=>[2,1,7,5,3,6,4]=>{{1,2},{3,7},{4,5},{6}}=>{{1,4},{2,3},{5,6},{7}}=>4
[3,2,6,1,7,4,5]=>[2,1,6,7,3,5,4]=>{{1,2},{3,6},{4,7},{5}}=>{{1,5},{2,3},{4,7},{6}}=>5
[3,2,6,1,7,5,4]=>[2,1,7,6,3,5,4]=>{{1,2},{3,7},{4,6},{5}}=>{{1,4},{2,3},{5,7},{6}}=>4
[3,2,6,4,1,5,7]=>[2,1,4,6,3,7,5]=>{{1,2},{3,4,6,7},{5}}=>{{1,4,5,7},{2,3},{6}}=>7
[3,2,6,4,1,7,5]=>[2,1,4,7,3,6,5]=>{{1,2},{3,4,7},{5},{6}}=>{{1,4,5},{2,3},{6},{7}}=>5
[3,2,6,4,5,1,7]=>[2,1,4,5,3,7,6]=>{{1,2},{3,4,5},{6,7}}=>{{1,7},{2,3},{4,5,6}}=>7
[3,2,6,4,5,7,1]=>[2,1,4,5,3,6,7]=>{{1,2},{3,4,5},{6},{7}}=>{{1},{2,3},{4,5,6},{7}}=>1
[3,2,6,4,7,1,5]=>[2,1,4,7,3,5,6]=>{{1,2},{3,4,7},{5},{6}}=>{{1,4,5},{2,3},{6},{7}}=>5
[3,2,6,4,7,5,1]=>[2,1,4,6,3,5,7]=>{{1,2},{3,4,6},{5},{7}}=>{{1},{2,3},{4,5,7},{6}}=>1
[3,2,6,5,1,4,7]=>[2,1,6,4,3,7,5]=>{{1,2},{3,6,7},{4},{5}}=>{{1,4,7},{2,3},{5},{6}}=>7
[3,2,6,5,1,7,4]=>[2,1,7,4,3,6,5]=>{{1,2},{3,7},{4},{5},{6}}=>{{1,4},{2,3},{5},{6},{7}}=>4
[3,2,6,5,4,1,7]=>[2,1,5,4,3,7,6]=>{{1,2},{3,5},{4},{6,7}}=>{{1,7},{2,3},{4,6},{5}}=>7
[3,2,6,5,4,7,1]=>[2,1,5,4,3,6,7]=>{{1,2},{3,5},{4},{6},{7}}=>{{1},{2,3},{4,6},{5},{7}}=>1
[3,2,6,5,7,1,4]=>[2,1,7,4,3,5,6]=>{{1,2},{3,7},{4},{5},{6}}=>{{1,4},{2,3},{5},{6},{7}}=>4
[3,2,6,5,7,4,1]=>[2,1,6,4,3,5,7]=>{{1,2},{3,6},{4},{5},{7}}=>{{1},{2,3},{4,7},{5},{6}}=>1
[3,2,6,7,1,4,5]=>[2,1,6,7,3,4,5]=>{{1,2},{3,6},{4,7},{5}}=>{{1,5},{2,3},{4,7},{6}}=>5
[3,2,6,7,1,5,4]=>[2,1,7,6,3,4,5]=>{{1,2},{3,7},{4,6},{5}}=>{{1,4},{2,3},{5,7},{6}}=>4
[3,2,6,7,4,1,5]=>[2,1,5,7,3,4,6]=>{{1,2},{3,5},{4,7},{6}}=>{{1,5},{2,3},{4,6},{7}}=>5
[3,2,6,7,4,5,1]=>[2,1,5,6,3,4,7]=>{{1,2},{3,5},{4,6},{7}}=>{{1},{2,3},{4,6},{5,7}}=>1
[3,2,6,7,5,1,4]=>[2,1,7,5,3,4,6]=>{{1,2},{3,7},{4,5},{6}}=>{{1,4},{2,3},{5,6},{7}}=>4
[3,2,6,7,5,4,1]=>[2,1,6,5,3,4,7]=>{{1,2},{3,6},{4,5},{7}}=>{{1},{2,3},{4,7},{5,6}}=>1
[3,2,7,1,4,5,6]=>[2,1,5,6,7,3,4]=>{{1,2},{3,5,7},{4,6}}=>{{1,4,6},{2,3},{5,7}}=>6
[3,2,7,1,4,6,5]=>[2,1,5,7,6,3,4]=>{{1,2},{3,5,6},{4,7}}=>{{1,5},{2,3},{4,6,7}}=>5
[3,2,7,1,5,4,6]=>[2,1,6,5,7,3,4]=>{{1,2},{3,6},{4,5,7}}=>{{1,5,6},{2,3},{4,7}}=>6
[3,2,7,1,5,6,4]=>[2,1,7,5,6,3,4]=>{{1,2},{3,7},{4,5,6}}=>{{1,4},{2,3},{5,6,7}}=>4
[3,2,7,1,6,4,5]=>[2,1,6,7,5,3,4]=>{{1,2},{3,6},{4,7},{5}}=>{{1,5},{2,3},{4,7},{6}}=>5
[3,2,7,1,6,5,4]=>[2,1,7,6,5,3,4]=>{{1,2},{3,7},{4,6},{5}}=>{{1,4},{2,3},{5,7},{6}}=>4
[3,2,7,4,1,5,6]=>[2,1,4,6,7,3,5]=>{{1,2},{3,4,6},{5,7}}=>{{1,6},{2,3},{4,5,7}}=>6
[3,2,7,4,1,6,5]=>[2,1,4,7,6,3,5]=>{{1,2},{3,4,7},{5,6}}=>{{1,4,5},{2,3},{6,7}}=>5
[3,2,7,4,5,1,6]=>[2,1,4,5,7,3,6]=>{{1,2},{3,4,5,7},{6}}=>{{1,4,5,6},{2,3},{7}}=>6
[3,2,7,4,5,6,1]=>[2,1,4,5,6,3,7]=>{{1,2},{3,4,5,6},{7}}=>{{1},{2,3},{4,5,6,7}}=>1
[3,2,7,4,6,1,5]=>[2,1,4,7,5,3,6]=>{{1,2},{3,4,7},{5},{6}}=>{{1,4,5},{2,3},{6},{7}}=>5
[3,2,7,4,6,5,1]=>[2,1,4,6,5,3,7]=>{{1,2},{3,4,6},{5},{7}}=>{{1},{2,3},{4,5,7},{6}}=>1
[3,2,7,5,1,4,6]=>[2,1,6,4,7,3,5]=>{{1,2},{3,6},{4},{5,7}}=>{{1,6},{2,3},{4,7},{5}}=>6
[3,2,7,5,1,6,4]=>[2,1,7,4,6,3,5]=>{{1,2},{3,7},{4},{5,6}}=>{{1,4},{2,3},{5},{6,7}}=>4
[3,2,7,5,4,1,6]=>[2,1,5,4,7,3,6]=>{{1,2},{3,5,7},{4},{6}}=>{{1,4,6},{2,3},{5},{7}}=>6
[3,2,7,5,4,6,1]=>[2,1,5,4,6,3,7]=>{{1,2},{3,5,6},{4},{7}}=>{{1},{2,3},{4,6,7},{5}}=>1
[3,2,7,5,6,1,4]=>[2,1,7,4,5,3,6]=>{{1,2},{3,7},{4},{5},{6}}=>{{1,4},{2,3},{5},{6},{7}}=>4
[3,2,7,5,6,4,1]=>[2,1,6,4,5,3,7]=>{{1,2},{3,6},{4},{5},{7}}=>{{1},{2,3},{4,7},{5},{6}}=>1
[3,2,7,6,1,4,5]=>[2,1,6,7,4,3,5]=>{{1,2},{3,6},{4,7},{5}}=>{{1,5},{2,3},{4,7},{6}}=>5
[3,2,7,6,1,5,4]=>[2,1,7,6,4,3,5]=>{{1,2},{3,7},{4,6},{5}}=>{{1,4},{2,3},{5,7},{6}}=>4
[3,2,7,6,4,1,5]=>[2,1,5,7,4,3,6]=>{{1,2},{3,5},{4,7},{6}}=>{{1,5},{2,3},{4,6},{7}}=>5
[3,2,7,6,4,5,1]=>[2,1,5,6,4,3,7]=>{{1,2},{3,5},{4,6},{7}}=>{{1},{2,3},{4,6},{5,7}}=>1
[3,2,7,6,5,1,4]=>[2,1,7,5,4,3,6]=>{{1,2},{3,7},{4,5},{6}}=>{{1,4},{2,3},{5,6},{7}}=>4
[3,2,7,6,5,4,1]=>[2,1,6,5,4,3,7]=>{{1,2},{3,6},{4,5},{7}}=>{{1},{2,3},{4,7},{5,6}}=>1
[3,4,1,2,5,6,7]=>[4,1,2,5,6,7,3]=>{{1,4,5,6,7},{2},{3}}=>{{1,2,5,6,7},{3},{4}}=>7
[3,4,1,2,5,7,6]=>[4,1,2,5,7,6,3]=>{{1,4,5,7},{2},{3},{6}}=>{{1,2,5,6},{3},{4},{7}}=>6
[3,4,1,2,6,5,7]=>[4,1,2,6,5,7,3]=>{{1,4,6,7},{2},{3},{5}}=>{{1,2,5,7},{3},{4},{6}}=>7
[3,4,1,2,6,7,5]=>[4,1,2,7,5,6,3]=>{{1,4,7},{2},{3},{5},{6}}=>{{1,2,5},{3},{4},{6},{7}}=>5
[3,4,1,2,7,5,6]=>[4,1,2,6,7,5,3]=>{{1,4,6},{2},{3},{5,7}}=>{{1,6},{2,5,7},{3},{4}}=>6
[3,4,1,2,7,6,5]=>[4,1,2,7,6,5,3]=>{{1,4,7},{2},{3},{5,6}}=>{{1,2,5},{3},{4},{6,7}}=>5
[3,4,1,5,2,6,7]=>[5,1,2,4,6,7,3]=>{{1,5,6,7},{2},{3},{4}}=>{{1,2,6,7},{3},{4},{5}}=>7
[3,4,1,5,2,7,6]=>[5,1,2,4,7,6,3]=>{{1,5,7},{2},{3},{4},{6}}=>{{1,2,6},{3},{4},{5},{7}}=>6
[3,4,1,5,6,2,7]=>[6,1,2,4,5,7,3]=>{{1,6,7},{2},{3},{4},{5}}=>{{1,2,7},{3},{4},{5},{6}}=>7
[3,4,1,5,6,7,2]=>[7,1,2,4,5,6,3]=>{{1,7},{2},{3},{4},{5},{6}}=>{{1,2},{3},{4},{5},{6},{7}}=>2
[3,4,1,5,7,2,6]=>[6,1,2,4,7,5,3]=>{{1,6},{2},{3},{4},{5,7}}=>{{1,6},{2,7},{3},{4},{5}}=>6
[3,4,1,5,7,6,2]=>[7,1,2,4,6,5,3]=>{{1,7},{2},{3},{4},{5,6}}=>{{1,2},{3},{4},{5},{6,7}}=>2
[3,4,1,6,2,5,7]=>[5,1,2,6,4,7,3]=>{{1,5},{2},{3},{4,6,7}}=>{{1,5,7},{2,6},{3},{4}}=>7
[3,4,1,6,2,7,5]=>[5,1,2,7,4,6,3]=>{{1,5},{2},{3},{4,7},{6}}=>{{1,5},{2,6},{3},{4},{7}}=>5
[3,4,1,6,5,2,7]=>[6,1,2,5,4,7,3]=>{{1,6,7},{2},{3},{4,5}}=>{{1,2,7},{3},{4},{5,6}}=>7
[3,4,1,6,5,7,2]=>[7,1,2,5,4,6,3]=>{{1,7},{2},{3},{4,5},{6}}=>{{1,2},{3},{4},{5,6},{7}}=>2
[3,4,1,6,7,2,5]=>[6,1,2,7,4,5,3]=>{{1,6},{2},{3},{4,7},{5}}=>{{1,5},{2,7},{3},{4},{6}}=>5
[3,4,1,6,7,5,2]=>[7,1,2,6,4,5,3]=>{{1,7},{2},{3},{4,6},{5}}=>{{1,2},{3},{4},{5,7},{6}}=>2
[3,4,1,7,2,5,6]=>[5,1,2,6,7,4,3]=>{{1,5,7},{2},{3},{4,6}}=>{{1,2,6},{3},{4},{5,7}}=>6
[3,4,1,7,2,6,5]=>[5,1,2,7,6,4,3]=>{{1,5,6},{2},{3},{4,7}}=>{{1,5},{2,6,7},{3},{4}}=>5
[3,4,1,7,5,2,6]=>[6,1,2,5,7,4,3]=>{{1,6},{2},{3},{4,5,7}}=>{{1,5,6},{2,7},{3},{4}}=>6
[3,4,1,7,5,6,2]=>[7,1,2,5,6,4,3]=>{{1,7},{2},{3},{4,5,6}}=>{{1,2},{3},{4},{5,6,7}}=>2
[3,4,1,7,6,2,5]=>[6,1,2,7,5,4,3]=>{{1,6},{2},{3},{4,7},{5}}=>{{1,5},{2,7},{3},{4},{6}}=>5
[3,4,1,7,6,5,2]=>[7,1,2,6,5,4,3]=>{{1,7},{2},{3},{4,6},{5}}=>{{1,2},{3},{4},{5,7},{6}}=>2
[3,4,2,1,5,6,7]=>[3,1,2,5,6,7,4]=>{{1,3},{2},{4,5,6,7}}=>{{1,5,6,7},{2,4},{3}}=>7
[3,4,2,1,5,7,6]=>[3,1,2,5,7,6,4]=>{{1,3},{2},{4,5,7},{6}}=>{{1,5,6},{2,4},{3},{7}}=>6
[3,4,2,1,6,5,7]=>[3,1,2,6,5,7,4]=>{{1,3},{2},{4,6,7},{5}}=>{{1,5,7},{2,4},{3},{6}}=>7
[3,4,2,1,6,7,5]=>[3,1,2,7,5,6,4]=>{{1,3},{2},{4,7},{5},{6}}=>{{1,5},{2,4},{3},{6},{7}}=>5
[3,4,2,1,7,5,6]=>[3,1,2,6,7,5,4]=>{{1,3},{2},{4,6},{5,7}}=>{{1,6},{2,4},{3},{5,7}}=>6
[3,4,2,1,7,6,5]=>[3,1,2,7,6,5,4]=>{{1,3},{2},{4,7},{5,6}}=>{{1,5},{2,4},{3},{6,7}}=>5
[3,4,2,5,1,6,7]=>[3,1,2,4,6,7,5]=>{{1,3},{2},{4},{5,6,7}}=>{{1,6,7},{2,4},{3},{5}}=>7
[3,4,2,5,1,7,6]=>[3,1,2,4,7,6,5]=>{{1,3},{2},{4},{5,7},{6}}=>{{1,6},{2,4},{3},{5},{7}}=>6
[3,4,2,5,6,1,7]=>[3,1,2,4,5,7,6]=>{{1,3},{2},{4},{5},{6,7}}=>{{1,7},{2,4},{3},{5},{6}}=>7
[3,4,2,5,6,7,1]=>[3,1,2,4,5,6,7]=>{{1,3},{2},{4},{5},{6},{7}}=>{{1},{2,4},{3},{5},{6},{7}}=>1
[3,4,2,5,7,1,6]=>[3,1,2,4,7,5,6]=>{{1,3},{2},{4},{5,7},{6}}=>{{1,6},{2,4},{3},{5},{7}}=>6
[3,4,2,5,7,6,1]=>[3,1,2,4,6,5,7]=>{{1,3},{2},{4},{5,6},{7}}=>{{1},{2,4},{3},{5},{6,7}}=>1
[3,4,2,6,1,5,7]=>[3,1,2,6,4,7,5]=>{{1,3},{2},{4,6,7},{5}}=>{{1,5,7},{2,4},{3},{6}}=>7
[3,4,2,6,1,7,5]=>[3,1,2,7,4,6,5]=>{{1,3},{2},{4,7},{5},{6}}=>{{1,5},{2,4},{3},{6},{7}}=>5
[3,4,2,6,5,1,7]=>[3,1,2,5,4,7,6]=>{{1,3},{2},{4,5},{6,7}}=>{{1,7},{2,4},{3},{5,6}}=>7
[3,4,2,6,5,7,1]=>[3,1,2,5,4,6,7]=>{{1,3},{2},{4,5},{6},{7}}=>{{1},{2,4},{3},{5,6},{7}}=>1
[3,4,2,6,7,1,5]=>[3,1,2,7,4,5,6]=>{{1,3},{2},{4,7},{5},{6}}=>{{1,5},{2,4},{3},{6},{7}}=>5
[3,4,2,6,7,5,1]=>[3,1,2,6,4,5,7]=>{{1,3},{2},{4,6},{5},{7}}=>{{1},{2,4},{3},{5,7},{6}}=>1
[3,4,2,7,1,5,6]=>[3,1,2,6,7,4,5]=>{{1,3},{2},{4,6},{5,7}}=>{{1,6},{2,4},{3},{5,7}}=>6
[3,4,2,7,1,6,5]=>[3,1,2,7,6,4,5]=>{{1,3},{2},{4,7},{5,6}}=>{{1,5},{2,4},{3},{6,7}}=>5
[3,4,2,7,5,1,6]=>[3,1,2,5,7,4,6]=>{{1,3},{2},{4,5,7},{6}}=>{{1,5,6},{2,4},{3},{7}}=>6
[3,4,2,7,5,6,1]=>[3,1,2,5,6,4,7]=>{{1,3},{2},{4,5,6},{7}}=>{{1},{2,4},{3},{5,6,7}}=>1
[3,4,2,7,6,1,5]=>[3,1,2,7,5,4,6]=>{{1,3},{2},{4,7},{5},{6}}=>{{1,5},{2,4},{3},{6},{7}}=>5
[3,4,2,7,6,5,1]=>[3,1,2,6,5,4,7]=>{{1,3},{2},{4,6},{5},{7}}=>{{1},{2,4},{3},{5,7},{6}}=>1
[3,4,5,1,2,6,7]=>[5,1,2,3,6,7,4]=>{{1,5,6,7},{2},{3},{4}}=>{{1,2,6,7},{3},{4},{5}}=>7
[3,4,5,1,2,7,6]=>[5,1,2,3,7,6,4]=>{{1,5,7},{2},{3},{4},{6}}=>{{1,2,6},{3},{4},{5},{7}}=>6
[3,4,5,1,6,2,7]=>[6,1,2,3,5,7,4]=>{{1,6,7},{2},{3},{4},{5}}=>{{1,2,7},{3},{4},{5},{6}}=>7
[3,4,5,1,6,7,2]=>[7,1,2,3,5,6,4]=>{{1,7},{2},{3},{4},{5},{6}}=>{{1,2},{3},{4},{5},{6},{7}}=>2
[3,4,5,1,7,2,6]=>[6,1,2,3,7,5,4]=>{{1,6},{2},{3},{4},{5,7}}=>{{1,6},{2,7},{3},{4},{5}}=>6
[3,4,5,1,7,6,2]=>[7,1,2,3,6,5,4]=>{{1,7},{2},{3},{4},{5,6}}=>{{1,2},{3},{4},{5},{6,7}}=>2
[3,4,5,2,1,6,7]=>[4,1,2,3,6,7,5]=>{{1,4},{2},{3},{5,6,7}}=>{{1,6,7},{2,5},{3},{4}}=>7
[3,4,5,2,1,7,6]=>[4,1,2,3,7,6,5]=>{{1,4},{2},{3},{5,7},{6}}=>{{1,6},{2,5},{3},{4},{7}}=>6
[3,4,5,2,6,1,7]=>[4,1,2,3,5,7,6]=>{{1,4},{2},{3},{5},{6,7}}=>{{1,7},{2,5},{3},{4},{6}}=>7
[3,4,5,2,6,7,1]=>[4,1,2,3,5,6,7]=>{{1,4},{2},{3},{5},{6},{7}}=>{{1},{2,5},{3},{4},{6},{7}}=>1
[3,4,5,2,7,1,6]=>[4,1,2,3,7,5,6]=>{{1,4},{2},{3},{5,7},{6}}=>{{1,6},{2,5},{3},{4},{7}}=>6
[3,4,5,2,7,6,1]=>[4,1,2,3,6,5,7]=>{{1,4},{2},{3},{5,6},{7}}=>{{1},{2,5},{3},{4},{6,7}}=>1
[3,4,5,6,1,2,7]=>[6,1,2,3,4,7,5]=>{{1,6,7},{2},{3},{4},{5}}=>{{1,2,7},{3},{4},{5},{6}}=>7
[3,4,5,6,1,7,2]=>[7,1,2,3,4,6,5]=>{{1,7},{2},{3},{4},{5},{6}}=>{{1,2},{3},{4},{5},{6},{7}}=>2
[3,4,5,6,2,1,7]=>[5,1,2,3,4,7,6]=>{{1,5},{2},{3},{4},{6,7}}=>{{1,7},{2,6},{3},{4},{5}}=>7
[3,4,5,6,2,7,1]=>[5,1,2,3,4,6,7]=>{{1,5},{2},{3},{4},{6},{7}}=>{{1},{2,6},{3},{4},{5},{7}}=>1
[3,4,5,6,7,1,2]=>[7,1,2,3,4,5,6]=>{{1,7},{2},{3},{4},{5},{6}}=>{{1,2},{3},{4},{5},{6},{7}}=>2
[3,4,5,6,7,2,1]=>[6,1,2,3,4,5,7]=>{{1,6},{2},{3},{4},{5},{7}}=>{{1},{2,7},{3},{4},{5},{6}}=>1
[3,4,5,7,1,2,6]=>[6,1,2,3,7,4,5]=>{{1,6},{2},{3},{4},{5,7}}=>{{1,6},{2,7},{3},{4},{5}}=>6
[3,4,5,7,1,6,2]=>[7,1,2,3,6,4,5]=>{{1,7},{2},{3},{4},{5,6}}=>{{1,2},{3},{4},{5},{6,7}}=>2
[3,4,5,7,2,1,6]=>[5,1,2,3,7,4,6]=>{{1,5,7},{2},{3},{4},{6}}=>{{1,2,6},{3},{4},{5},{7}}=>6
[3,4,5,7,2,6,1]=>[5,1,2,3,6,4,7]=>{{1,5,6},{2},{3},{4},{7}}=>{{1},{2,6,7},{3},{4},{5}}=>1
[3,4,5,7,6,1,2]=>[7,1,2,3,5,4,6]=>{{1,7},{2},{3},{4},{5},{6}}=>{{1,2},{3},{4},{5},{6},{7}}=>2
[3,4,5,7,6,2,1]=>[6,1,2,3,5,4,7]=>{{1,6},{2},{3},{4},{5},{7}}=>{{1},{2,7},{3},{4},{5},{6}}=>1
[3,4,6,1,2,5,7]=>[5,1,2,6,3,7,4]=>{{1,5},{2},{3},{4,6,7}}=>{{1,5,7},{2,6},{3},{4}}=>7
[3,4,6,1,2,7,5]=>[5,1,2,7,3,6,4]=>{{1,5},{2},{3},{4,7},{6}}=>{{1,5},{2,6},{3},{4},{7}}=>5
[3,4,6,1,5,2,7]=>[6,1,2,5,3,7,4]=>{{1,6,7},{2},{3},{4,5}}=>{{1,2,7},{3},{4},{5,6}}=>7
[3,4,6,1,5,7,2]=>[7,1,2,5,3,6,4]=>{{1,7},{2},{3},{4,5},{6}}=>{{1,2},{3},{4},{5,6},{7}}=>2
[3,4,6,1,7,2,5]=>[6,1,2,7,3,5,4]=>{{1,6},{2},{3},{4,7},{5}}=>{{1,5},{2,7},{3},{4},{6}}=>5
[3,4,6,1,7,5,2]=>[7,1,2,6,3,5,4]=>{{1,7},{2},{3},{4,6},{5}}=>{{1,2},{3},{4},{5,7},{6}}=>2
[3,4,6,2,1,5,7]=>[4,1,2,6,3,7,5]=>{{1,4,6,7},{2},{3},{5}}=>{{1,2,5,7},{3},{4},{6}}=>7
[3,4,6,2,1,7,5]=>[4,1,2,7,3,6,5]=>{{1,4,7},{2},{3},{5},{6}}=>{{1,2,5},{3},{4},{6},{7}}=>5
[3,4,6,2,5,1,7]=>[4,1,2,5,3,7,6]=>{{1,4,5},{2},{3},{6,7}}=>{{1,7},{2,5,6},{3},{4}}=>7
[3,4,6,2,5,7,1]=>[4,1,2,5,3,6,7]=>{{1,4,5},{2},{3},{6},{7}}=>{{1},{2,5,6},{3},{4},{7}}=>1
[3,4,6,2,7,1,5]=>[4,1,2,7,3,5,6]=>{{1,4,7},{2},{3},{5},{6}}=>{{1,2,5},{3},{4},{6},{7}}=>5
[3,4,6,2,7,5,1]=>[4,1,2,6,3,5,7]=>{{1,4,6},{2},{3},{5},{7}}=>{{1},{2,5,7},{3},{4},{6}}=>1
[3,4,6,5,1,2,7]=>[6,1,2,4,3,7,5]=>{{1,6,7},{2},{3},{4},{5}}=>{{1,2,7},{3},{4},{5},{6}}=>7
[3,4,6,5,1,7,2]=>[7,1,2,4,3,6,5]=>{{1,7},{2},{3},{4},{5},{6}}=>{{1,2},{3},{4},{5},{6},{7}}=>2
[3,4,6,5,2,1,7]=>[5,1,2,4,3,7,6]=>{{1,5},{2},{3},{4},{6,7}}=>{{1,7},{2,6},{3},{4},{5}}=>7
[3,4,6,5,2,7,1]=>[5,1,2,4,3,6,7]=>{{1,5},{2},{3},{4},{6},{7}}=>{{1},{2,6},{3},{4},{5},{7}}=>1
[3,4,6,5,7,1,2]=>[7,1,2,4,3,5,6]=>{{1,7},{2},{3},{4},{5},{6}}=>{{1,2},{3},{4},{5},{6},{7}}=>2
[3,4,6,5,7,2,1]=>[6,1,2,4,3,5,7]=>{{1,6},{2},{3},{4},{5},{7}}=>{{1},{2,7},{3},{4},{5},{6}}=>1
[3,4,6,7,1,2,5]=>[6,1,2,7,3,4,5]=>{{1,6},{2},{3},{4,7},{5}}=>{{1,5},{2,7},{3},{4},{6}}=>5
[3,4,6,7,1,5,2]=>[7,1,2,6,3,4,5]=>{{1,7},{2},{3},{4,6},{5}}=>{{1,2},{3},{4},{5,7},{6}}=>2
[3,4,6,7,2,1,5]=>[5,1,2,7,3,4,6]=>{{1,5},{2},{3},{4,7},{6}}=>{{1,5},{2,6},{3},{4},{7}}=>5
[3,4,6,7,2,5,1]=>[5,1,2,6,3,4,7]=>{{1,5},{2},{3},{4,6},{7}}=>{{1},{2,6},{3},{4},{5,7}}=>1
[3,4,6,7,5,1,2]=>[7,1,2,5,3,4,6]=>{{1,7},{2},{3},{4,5},{6}}=>{{1,2},{3},{4},{5,6},{7}}=>2
[3,4,6,7,5,2,1]=>[6,1,2,5,3,4,7]=>{{1,6},{2},{3},{4,5},{7}}=>{{1},{2,7},{3},{4},{5,6}}=>1
[3,4,7,1,2,5,6]=>[5,1,2,6,7,3,4]=>{{1,5,7},{2},{3},{4,6}}=>{{1,2,6},{3},{4},{5,7}}=>6
[3,4,7,1,2,6,5]=>[5,1,2,7,6,3,4]=>{{1,5,6},{2},{3},{4,7}}=>{{1,5},{2,6,7},{3},{4}}=>5
[3,4,7,1,5,2,6]=>[6,1,2,5,7,3,4]=>{{1,6},{2},{3},{4,5,7}}=>{{1,5,6},{2,7},{3},{4}}=>6
[3,4,7,1,5,6,2]=>[7,1,2,5,6,3,4]=>{{1,7},{2},{3},{4,5,6}}=>{{1,2},{3},{4},{5,6,7}}=>2
[3,4,7,1,6,2,5]=>[6,1,2,7,5,3,4]=>{{1,6},{2},{3},{4,7},{5}}=>{{1,5},{2,7},{3},{4},{6}}=>5
[3,4,7,1,6,5,2]=>[7,1,2,6,5,3,4]=>{{1,7},{2},{3},{4,6},{5}}=>{{1,2},{3},{4},{5,7},{6}}=>2
[3,4,7,2,1,5,6]=>[4,1,2,6,7,3,5]=>{{1,4,6},{2},{3},{5,7}}=>{{1,6},{2,5,7},{3},{4}}=>6
[3,4,7,2,1,6,5]=>[4,1,2,7,6,3,5]=>{{1,4,7},{2},{3},{5,6}}=>{{1,2,5},{3},{4},{6,7}}=>5
[3,4,7,2,5,1,6]=>[4,1,2,5,7,3,6]=>{{1,4,5,7},{2},{3},{6}}=>{{1,2,5,6},{3},{4},{7}}=>6
[3,4,7,2,5,6,1]=>[4,1,2,5,6,3,7]=>{{1,4,5,6},{2},{3},{7}}=>{{1},{2,5,6,7},{3},{4}}=>1
[3,4,7,2,6,1,5]=>[4,1,2,7,5,3,6]=>{{1,4,7},{2},{3},{5},{6}}=>{{1,2,5},{3},{4},{6},{7}}=>5
[3,4,7,2,6,5,1]=>[4,1,2,6,5,3,7]=>{{1,4,6},{2},{3},{5},{7}}=>{{1},{2,5,7},{3},{4},{6}}=>1
[3,4,7,5,1,2,6]=>[6,1,2,4,7,3,5]=>{{1,6},{2},{3},{4},{5,7}}=>{{1,6},{2,7},{3},{4},{5}}=>6
[3,4,7,5,1,6,2]=>[7,1,2,4,6,3,5]=>{{1,7},{2},{3},{4},{5,6}}=>{{1,2},{3},{4},{5},{6,7}}=>2
[3,4,7,5,2,1,6]=>[5,1,2,4,7,3,6]=>{{1,5,7},{2},{3},{4},{6}}=>{{1,2,6},{3},{4},{5},{7}}=>6
[3,4,7,5,2,6,1]=>[5,1,2,4,6,3,7]=>{{1,5,6},{2},{3},{4},{7}}=>{{1},{2,6,7},{3},{4},{5}}=>1
[3,4,7,5,6,1,2]=>[7,1,2,4,5,3,6]=>{{1,7},{2},{3},{4},{5},{6}}=>{{1,2},{3},{4},{5},{6},{7}}=>2
[3,4,7,5,6,2,1]=>[6,1,2,4,5,3,7]=>{{1,6},{2},{3},{4},{5},{7}}=>{{1},{2,7},{3},{4},{5},{6}}=>1
[3,4,7,6,1,2,5]=>[6,1,2,7,4,3,5]=>{{1,6},{2},{3},{4,7},{5}}=>{{1,5},{2,7},{3},{4},{6}}=>5
[3,4,7,6,1,5,2]=>[7,1,2,6,4,3,5]=>{{1,7},{2},{3},{4,6},{5}}=>{{1,2},{3},{4},{5,7},{6}}=>2
[3,4,7,6,2,1,5]=>[5,1,2,7,4,3,6]=>{{1,5},{2},{3},{4,7},{6}}=>{{1,5},{2,6},{3},{4},{7}}=>5
[3,4,7,6,2,5,1]=>[5,1,2,6,4,3,7]=>{{1,5},{2},{3},{4,6},{7}}=>{{1},{2,6},{3},{4},{5,7}}=>1
[3,4,7,6,5,1,2]=>[7,1,2,5,4,3,6]=>{{1,7},{2},{3},{4,5},{6}}=>{{1,2},{3},{4},{5,6},{7}}=>2
[3,4,7,6,5,2,1]=>[6,1,2,5,4,3,7]=>{{1,6},{2},{3},{4,5},{7}}=>{{1},{2,7},{3},{4},{5,6}}=>1
[3,5,1,2,4,6,7]=>[4,1,5,2,6,7,3]=>{{1,4},{2},{3,5,6,7}}=>{{1,4,6,7},{2,5},{3}}=>7
[3,5,1,2,4,7,6]=>[4,1,5,2,7,6,3]=>{{1,4},{2},{3,5,7},{6}}=>{{1,4,6},{2,5},{3},{7}}=>6
[3,5,1,2,6,4,7]=>[4,1,6,2,5,7,3]=>{{1,4},{2},{3,6,7},{5}}=>{{1,4,7},{2,5},{3},{6}}=>7
[3,5,1,2,6,7,4]=>[4,1,7,2,5,6,3]=>{{1,4},{2},{3,7},{5},{6}}=>{{1,4},{2,5},{3},{6},{7}}=>4
[3,5,1,2,7,4,6]=>[4,1,6,2,7,5,3]=>{{1,4},{2},{3,6},{5,7}}=>{{1,6},{2,5},{3},{4,7}}=>6
[3,5,1,2,7,6,4]=>[4,1,7,2,6,5,3]=>{{1,4},{2},{3,7},{5,6}}=>{{1,4},{2,5},{3},{6,7}}=>4
[3,5,1,4,2,6,7]=>[5,1,4,2,6,7,3]=>{{1,5,6,7},{2},{3,4}}=>{{1,2,6,7},{3},{4,5}}=>7
[3,5,1,4,2,7,6]=>[5,1,4,2,7,6,3]=>{{1,5,7},{2},{3,4},{6}}=>{{1,2,6},{3},{4,5},{7}}=>6
[3,5,1,4,6,2,7]=>[6,1,4,2,5,7,3]=>{{1,6,7},{2},{3,4},{5}}=>{{1,2,7},{3},{4,5},{6}}=>7
[3,5,1,4,6,7,2]=>[7,1,4,2,5,6,3]=>{{1,7},{2},{3,4},{5},{6}}=>{{1,2},{3},{4,5},{6},{7}}=>2
[3,5,1,4,7,2,6]=>[6,1,4,2,7,5,3]=>{{1,6},{2},{3,4},{5,7}}=>{{1,6},{2,7},{3},{4,5}}=>6
[3,5,1,4,7,6,2]=>[7,1,4,2,6,5,3]=>{{1,7},{2},{3,4},{5,6}}=>{{1,2},{3},{4,5},{6,7}}=>2
[3,5,1,6,2,4,7]=>[5,1,6,2,4,7,3]=>{{1,5},{2},{3,6,7},{4}}=>{{1,4,7},{2,6},{3},{5}}=>7
[3,5,1,6,2,7,4]=>[5,1,7,2,4,6,3]=>{{1,5},{2},{3,7},{4},{6}}=>{{1,4},{2,6},{3},{5},{7}}=>4
[3,5,1,6,4,2,7]=>[6,1,5,2,4,7,3]=>{{1,6,7},{2},{3,5},{4}}=>{{1,2,7},{3},{4,6},{5}}=>7
[3,5,1,6,4,7,2]=>[7,1,5,2,4,6,3]=>{{1,7},{2},{3,5},{4},{6}}=>{{1,2},{3},{4,6},{5},{7}}=>2
[3,5,1,6,7,2,4]=>[6,1,7,2,4,5,3]=>{{1,6},{2},{3,7},{4},{5}}=>{{1,4},{2,7},{3},{5},{6}}=>4
[3,5,1,6,7,4,2]=>[7,1,6,2,4,5,3]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,2},{3},{4,7},{5},{6}}=>2
[3,5,1,7,2,4,6]=>[5,1,6,2,7,4,3]=>{{1,5,7},{2},{3,6},{4}}=>{{1,2,6},{3},{4,7},{5}}=>6
[3,5,1,7,2,6,4]=>[5,1,7,2,6,4,3]=>{{1,5,6},{2},{3,7},{4}}=>{{1,4},{2,6,7},{3},{5}}=>4
[3,5,1,7,4,2,6]=>[6,1,5,2,7,4,3]=>{{1,6},{2},{3,5,7},{4}}=>{{1,4,6},{2,7},{3},{5}}=>6
[3,5,1,7,4,6,2]=>[7,1,5,2,6,4,3]=>{{1,7},{2},{3,5,6},{4}}=>{{1,2},{3},{4,6,7},{5}}=>2
[3,5,1,7,6,2,4]=>[6,1,7,2,5,4,3]=>{{1,6},{2},{3,7},{4},{5}}=>{{1,4},{2,7},{3},{5},{6}}=>4
[3,5,1,7,6,4,2]=>[7,1,6,2,5,4,3]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,2},{3},{4,7},{5},{6}}=>2
[3,5,2,1,4,6,7]=>[3,1,5,2,6,7,4]=>{{1,3,5,6,7},{2},{4}}=>{{1,2,4,6,7},{3},{5}}=>7
[3,5,2,1,4,7,6]=>[3,1,5,2,7,6,4]=>{{1,3,5,7},{2},{4},{6}}=>{{1,2,4,6},{3},{5},{7}}=>6
[3,5,2,1,6,4,7]=>[3,1,6,2,5,7,4]=>{{1,3,6,7},{2},{4},{5}}=>{{1,2,4,7},{3},{5},{6}}=>7
[3,5,2,1,6,7,4]=>[3,1,7,2,5,6,4]=>{{1,3,7},{2},{4},{5},{6}}=>{{1,2,4},{3},{5},{6},{7}}=>4
[3,5,2,1,7,4,6]=>[3,1,6,2,7,5,4]=>{{1,3,6},{2},{4},{5,7}}=>{{1,6},{2,4,7},{3},{5}}=>6
[3,5,2,1,7,6,4]=>[3,1,7,2,6,5,4]=>{{1,3,7},{2},{4},{5,6}}=>{{1,2,4},{3},{5},{6,7}}=>4
[3,5,2,4,1,6,7]=>[3,1,4,2,6,7,5]=>{{1,3,4},{2},{5,6,7}}=>{{1,6,7},{2,4,5},{3}}=>7
[3,5,2,4,1,7,6]=>[3,1,4,2,7,6,5]=>{{1,3,4},{2},{5,7},{6}}=>{{1,6},{2,4,5},{3},{7}}=>6
[3,5,2,4,6,1,7]=>[3,1,4,2,5,7,6]=>{{1,3,4},{2},{5},{6,7}}=>{{1,7},{2,4,5},{3},{6}}=>7
[3,5,2,4,6,7,1]=>[3,1,4,2,5,6,7]=>{{1,3,4},{2},{5},{6},{7}}=>{{1},{2,4,5},{3},{6},{7}}=>1
[3,5,2,4,7,1,6]=>[3,1,4,2,7,5,6]=>{{1,3,4},{2},{5,7},{6}}=>{{1,6},{2,4,5},{3},{7}}=>6
[3,5,2,4,7,6,1]=>[3,1,4,2,6,5,7]=>{{1,3,4},{2},{5,6},{7}}=>{{1},{2,4,5},{3},{6,7}}=>1
[3,5,2,6,1,4,7]=>[3,1,6,2,4,7,5]=>{{1,3,6,7},{2},{4},{5}}=>{{1,2,4,7},{3},{5},{6}}=>7
[3,5,2,6,1,7,4]=>[3,1,7,2,4,6,5]=>{{1,3,7},{2},{4},{5},{6}}=>{{1,2,4},{3},{5},{6},{7}}=>4
[3,5,2,6,4,1,7]=>[3,1,5,2,4,7,6]=>{{1,3,5},{2},{4},{6,7}}=>{{1,7},{2,4,6},{3},{5}}=>7
[3,5,2,6,4,7,1]=>[3,1,5,2,4,6,7]=>{{1,3,5},{2},{4},{6},{7}}=>{{1},{2,4,6},{3},{5},{7}}=>1
[3,5,2,6,7,1,4]=>[3,1,7,2,4,5,6]=>{{1,3,7},{2},{4},{5},{6}}=>{{1,2,4},{3},{5},{6},{7}}=>4
[3,5,2,6,7,4,1]=>[3,1,6,2,4,5,7]=>{{1,3,6},{2},{4},{5},{7}}=>{{1},{2,4,7},{3},{5},{6}}=>1
[3,5,2,7,1,4,6]=>[3,1,6,2,7,4,5]=>{{1,3,6},{2},{4},{5,7}}=>{{1,6},{2,4,7},{3},{5}}=>6
[3,5,2,7,1,6,4]=>[3,1,7,2,6,4,5]=>{{1,3,7},{2},{4},{5,6}}=>{{1,2,4},{3},{5},{6,7}}=>4
[3,5,2,7,4,1,6]=>[3,1,5,2,7,4,6]=>{{1,3,5,7},{2},{4},{6}}=>{{1,2,4,6},{3},{5},{7}}=>6
[3,5,2,7,4,6,1]=>[3,1,5,2,6,4,7]=>{{1,3,5,6},{2},{4},{7}}=>{{1},{2,4,6,7},{3},{5}}=>1
[3,5,2,7,6,1,4]=>[3,1,7,2,5,4,6]=>{{1,3,7},{2},{4},{5},{6}}=>{{1,2,4},{3},{5},{6},{7}}=>4
[3,5,2,7,6,4,1]=>[3,1,6,2,5,4,7]=>{{1,3,6},{2},{4},{5},{7}}=>{{1},{2,4,7},{3},{5},{6}}=>1
[3,5,4,1,2,6,7]=>[5,1,3,2,6,7,4]=>{{1,5,6,7},{2},{3},{4}}=>{{1,2,6,7},{3},{4},{5}}=>7
[3,5,4,1,2,7,6]=>[5,1,3,2,7,6,4]=>{{1,5,7},{2},{3},{4},{6}}=>{{1,2,6},{3},{4},{5},{7}}=>6
[3,5,4,1,6,2,7]=>[6,1,3,2,5,7,4]=>{{1,6,7},{2},{3},{4},{5}}=>{{1,2,7},{3},{4},{5},{6}}=>7
[3,5,4,1,6,7,2]=>[7,1,3,2,5,6,4]=>{{1,7},{2},{3},{4},{5},{6}}=>{{1,2},{3},{4},{5},{6},{7}}=>2
[3,5,4,1,7,2,6]=>[6,1,3,2,7,5,4]=>{{1,6},{2},{3},{4},{5,7}}=>{{1,6},{2,7},{3},{4},{5}}=>6
[3,5,4,1,7,6,2]=>[7,1,3,2,6,5,4]=>{{1,7},{2},{3},{4},{5,6}}=>{{1,2},{3},{4},{5},{6,7}}=>2
[3,5,4,2,1,6,7]=>[4,1,3,2,6,7,5]=>{{1,4},{2},{3},{5,6,7}}=>{{1,6,7},{2,5},{3},{4}}=>7
[3,5,4,2,1,7,6]=>[4,1,3,2,7,6,5]=>{{1,4},{2},{3},{5,7},{6}}=>{{1,6},{2,5},{3},{4},{7}}=>6
[3,5,4,2,6,1,7]=>[4,1,3,2,5,7,6]=>{{1,4},{2},{3},{5},{6,7}}=>{{1,7},{2,5},{3},{4},{6}}=>7
[3,5,4,2,6,7,1]=>[4,1,3,2,5,6,7]=>{{1,4},{2},{3},{5},{6},{7}}=>{{1},{2,5},{3},{4},{6},{7}}=>1
[3,5,4,2,7,1,6]=>[4,1,3,2,7,5,6]=>{{1,4},{2},{3},{5,7},{6}}=>{{1,6},{2,5},{3},{4},{7}}=>6
[3,5,4,2,7,6,1]=>[4,1,3,2,6,5,7]=>{{1,4},{2},{3},{5,6},{7}}=>{{1},{2,5},{3},{4},{6,7}}=>1
[3,5,4,6,1,2,7]=>[6,1,3,2,4,7,5]=>{{1,6,7},{2},{3},{4},{5}}=>{{1,2,7},{3},{4},{5},{6}}=>7
[3,5,4,6,1,7,2]=>[7,1,3,2,4,6,5]=>{{1,7},{2},{3},{4},{5},{6}}=>{{1,2},{3},{4},{5},{6},{7}}=>2
[3,5,4,6,2,1,7]=>[5,1,3,2,4,7,6]=>{{1,5},{2},{3},{4},{6,7}}=>{{1,7},{2,6},{3},{4},{5}}=>7
[3,5,4,6,2,7,1]=>[5,1,3,2,4,6,7]=>{{1,5},{2},{3},{4},{6},{7}}=>{{1},{2,6},{3},{4},{5},{7}}=>1
[3,5,4,6,7,1,2]=>[7,1,3,2,4,5,6]=>{{1,7},{2},{3},{4},{5},{6}}=>{{1,2},{3},{4},{5},{6},{7}}=>2
[3,5,4,6,7,2,1]=>[6,1,3,2,4,5,7]=>{{1,6},{2},{3},{4},{5},{7}}=>{{1},{2,7},{3},{4},{5},{6}}=>1
[3,5,4,7,1,2,6]=>[6,1,3,2,7,4,5]=>{{1,6},{2},{3},{4},{5,7}}=>{{1,6},{2,7},{3},{4},{5}}=>6
[3,5,4,7,1,6,2]=>[7,1,3,2,6,4,5]=>{{1,7},{2},{3},{4},{5,6}}=>{{1,2},{3},{4},{5},{6,7}}=>2
[3,5,4,7,2,1,6]=>[5,1,3,2,7,4,6]=>{{1,5,7},{2},{3},{4},{6}}=>{{1,2,6},{3},{4},{5},{7}}=>6
[3,5,4,7,2,6,1]=>[5,1,3,2,6,4,7]=>{{1,5,6},{2},{3},{4},{7}}=>{{1},{2,6,7},{3},{4},{5}}=>1
[3,5,4,7,6,1,2]=>[7,1,3,2,5,4,6]=>{{1,7},{2},{3},{4},{5},{6}}=>{{1,2},{3},{4},{5},{6},{7}}=>2
[3,5,4,7,6,2,1]=>[6,1,3,2,5,4,7]=>{{1,6},{2},{3},{4},{5},{7}}=>{{1},{2,7},{3},{4},{5},{6}}=>1
[3,5,6,1,2,4,7]=>[5,1,6,2,3,7,4]=>{{1,5},{2},{3,6,7},{4}}=>{{1,4,7},{2,6},{3},{5}}=>7
[3,5,6,1,2,7,4]=>[5,1,7,2,3,6,4]=>{{1,5},{2},{3,7},{4},{6}}=>{{1,4},{2,6},{3},{5},{7}}=>4
[3,5,6,1,4,2,7]=>[6,1,5,2,3,7,4]=>{{1,6,7},{2},{3,5},{4}}=>{{1,2,7},{3},{4,6},{5}}=>7
[3,5,6,1,4,7,2]=>[7,1,5,2,3,6,4]=>{{1,7},{2},{3,5},{4},{6}}=>{{1,2},{3},{4,6},{5},{7}}=>2
[3,5,6,1,7,2,4]=>[6,1,7,2,3,5,4]=>{{1,6},{2},{3,7},{4},{5}}=>{{1,4},{2,7},{3},{5},{6}}=>4
[3,5,6,1,7,4,2]=>[7,1,6,2,3,5,4]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,2},{3},{4,7},{5},{6}}=>2
[3,5,6,2,1,4,7]=>[4,1,6,2,3,7,5]=>{{1,4},{2},{3,6,7},{5}}=>{{1,4,7},{2,5},{3},{6}}=>7
[3,5,6,2,1,7,4]=>[4,1,7,2,3,6,5]=>{{1,4},{2},{3,7},{5},{6}}=>{{1,4},{2,5},{3},{6},{7}}=>4
[3,5,6,2,4,1,7]=>[4,1,5,2,3,7,6]=>{{1,4},{2},{3,5},{6,7}}=>{{1,7},{2,5},{3},{4,6}}=>7
[3,5,6,2,4,7,1]=>[4,1,5,2,3,6,7]=>{{1,4},{2},{3,5},{6},{7}}=>{{1},{2,5},{3},{4,6},{7}}=>1
[3,5,6,2,7,1,4]=>[4,1,7,2,3,5,6]=>{{1,4},{2},{3,7},{5},{6}}=>{{1,4},{2,5},{3},{6},{7}}=>4
[3,5,6,2,7,4,1]=>[4,1,6,2,3,5,7]=>{{1,4},{2},{3,6},{5},{7}}=>{{1},{2,5},{3},{4,7},{6}}=>1
[3,5,6,4,1,2,7]=>[6,1,4,2,3,7,5]=>{{1,6,7},{2},{3,4},{5}}=>{{1,2,7},{3},{4,5},{6}}=>7
[3,5,6,4,1,7,2]=>[7,1,4,2,3,6,5]=>{{1,7},{2},{3,4},{5},{6}}=>{{1,2},{3},{4,5},{6},{7}}=>2
[3,5,6,4,2,1,7]=>[5,1,4,2,3,7,6]=>{{1,5},{2},{3,4},{6,7}}=>{{1,7},{2,6},{3},{4,5}}=>7
[3,5,6,4,2,7,1]=>[5,1,4,2,3,6,7]=>{{1,5},{2},{3,4},{6},{7}}=>{{1},{2,6},{3},{4,5},{7}}=>1
[3,5,6,4,7,1,2]=>[7,1,4,2,3,5,6]=>{{1,7},{2},{3,4},{5},{6}}=>{{1,2},{3},{4,5},{6},{7}}=>2
[3,5,6,4,7,2,1]=>[6,1,4,2,3,5,7]=>{{1,6},{2},{3,4},{5},{7}}=>{{1},{2,7},{3},{4,5},{6}}=>1
[3,5,6,7,1,2,4]=>[6,1,7,2,3,4,5]=>{{1,6},{2},{3,7},{4},{5}}=>{{1,4},{2,7},{3},{5},{6}}=>4
[3,5,6,7,1,4,2]=>[7,1,6,2,3,4,5]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,2},{3},{4,7},{5},{6}}=>2
[3,5,6,7,2,1,4]=>[5,1,7,2,3,4,6]=>{{1,5},{2},{3,7},{4},{6}}=>{{1,4},{2,6},{3},{5},{7}}=>4
[3,5,6,7,2,4,1]=>[5,1,6,2,3,4,7]=>{{1,5},{2},{3,6},{4},{7}}=>{{1},{2,6},{3},{4,7},{5}}=>1
[3,5,6,7,4,1,2]=>[7,1,5,2,3,4,6]=>{{1,7},{2},{3,5},{4},{6}}=>{{1,2},{3},{4,6},{5},{7}}=>2
[3,5,6,7,4,2,1]=>[6,1,5,2,3,4,7]=>{{1,6},{2},{3,5},{4},{7}}=>{{1},{2,7},{3},{4,6},{5}}=>1
[3,5,7,1,2,4,6]=>[5,1,6,2,7,3,4]=>{{1,5,7},{2},{3,6},{4}}=>{{1,2,6},{3},{4,7},{5}}=>6
[3,5,7,1,2,6,4]=>[5,1,7,2,6,3,4]=>{{1,5,6},{2},{3,7},{4}}=>{{1,4},{2,6,7},{3},{5}}=>4
[3,5,7,1,4,2,6]=>[6,1,5,2,7,3,4]=>{{1,6},{2},{3,5,7},{4}}=>{{1,4,6},{2,7},{3},{5}}=>6
[3,5,7,1,4,6,2]=>[7,1,5,2,6,3,4]=>{{1,7},{2},{3,5,6},{4}}=>{{1,2},{3},{4,6,7},{5}}=>2
[3,5,7,1,6,2,4]=>[6,1,7,2,5,3,4]=>{{1,6},{2},{3,7},{4},{5}}=>{{1,4},{2,7},{3},{5},{6}}=>4
[3,5,7,1,6,4,2]=>[7,1,6,2,5,3,4]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,2},{3},{4,7},{5},{6}}=>2
[3,5,7,2,1,4,6]=>[4,1,6,2,7,3,5]=>{{1,4},{2},{3,6},{5,7}}=>{{1,6},{2,5},{3},{4,7}}=>6
[3,5,7,2,1,6,4]=>[4,1,7,2,6,3,5]=>{{1,4},{2},{3,7},{5,6}}=>{{1,4},{2,5},{3},{6,7}}=>4
[3,5,7,2,4,1,6]=>[4,1,5,2,7,3,6]=>{{1,4},{2},{3,5,7},{6}}=>{{1,4,6},{2,5},{3},{7}}=>6
[3,5,7,2,4,6,1]=>[4,1,5,2,6,3,7]=>{{1,4},{2},{3,5,6},{7}}=>{{1},{2,5},{3},{4,6,7}}=>1
[3,5,7,2,6,1,4]=>[4,1,7,2,5,3,6]=>{{1,4},{2},{3,7},{5},{6}}=>{{1,4},{2,5},{3},{6},{7}}=>4
[3,5,7,2,6,4,1]=>[4,1,6,2,5,3,7]=>{{1,4},{2},{3,6},{5},{7}}=>{{1},{2,5},{3},{4,7},{6}}=>1
[3,5,7,4,1,2,6]=>[6,1,4,2,7,3,5]=>{{1,6},{2},{3,4},{5,7}}=>{{1,6},{2,7},{3},{4,5}}=>6
[3,5,7,4,1,6,2]=>[7,1,4,2,6,3,5]=>{{1,7},{2},{3,4},{5,6}}=>{{1,2},{3},{4,5},{6,7}}=>2
[3,5,7,4,2,1,6]=>[5,1,4,2,7,3,6]=>{{1,5,7},{2},{3,4},{6}}=>{{1,2,6},{3},{4,5},{7}}=>6
[3,5,7,4,2,6,1]=>[5,1,4,2,6,3,7]=>{{1,5,6},{2},{3,4},{7}}=>{{1},{2,6,7},{3},{4,5}}=>1
[3,5,7,4,6,1,2]=>[7,1,4,2,5,3,6]=>{{1,7},{2},{3,4},{5},{6}}=>{{1,2},{3},{4,5},{6},{7}}=>2
[3,5,7,4,6,2,1]=>[6,1,4,2,5,3,7]=>{{1,6},{2},{3,4},{5},{7}}=>{{1},{2,7},{3},{4,5},{6}}=>1
[3,5,7,6,1,2,4]=>[6,1,7,2,4,3,5]=>{{1,6},{2},{3,7},{4},{5}}=>{{1,4},{2,7},{3},{5},{6}}=>4
[3,5,7,6,1,4,2]=>[7,1,6,2,4,3,5]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,2},{3},{4,7},{5},{6}}=>2
[3,5,7,6,2,1,4]=>[5,1,7,2,4,3,6]=>{{1,5},{2},{3,7},{4},{6}}=>{{1,4},{2,6},{3},{5},{7}}=>4
[3,5,7,6,2,4,1]=>[5,1,6,2,4,3,7]=>{{1,5},{2},{3,6},{4},{7}}=>{{1},{2,6},{3},{4,7},{5}}=>1
[3,5,7,6,4,1,2]=>[7,1,5,2,4,3,6]=>{{1,7},{2},{3,5},{4},{6}}=>{{1,2},{3},{4,6},{5},{7}}=>2
[3,5,7,6,4,2,1]=>[6,1,5,2,4,3,7]=>{{1,6},{2},{3,5},{4},{7}}=>{{1},{2,7},{3},{4,6},{5}}=>1
[3,6,1,2,4,5,7]=>[4,1,5,6,2,7,3]=>{{1,4,6,7},{2},{3,5}}=>{{1,2,5,7},{3},{4,6}}=>7
[3,6,1,2,4,7,5]=>[4,1,5,7,2,6,3]=>{{1,4,7},{2},{3,5},{6}}=>{{1,2,5},{3},{4,6},{7}}=>5
[3,6,1,2,5,4,7]=>[4,1,6,5,2,7,3]=>{{1,4,5},{2},{3,6,7}}=>{{1,4,7},{2,5,6},{3}}=>7
[3,6,1,2,5,7,4]=>[4,1,7,5,2,6,3]=>{{1,4,5},{2},{3,7},{6}}=>{{1,4},{2,5,6},{3},{7}}=>4
[3,6,1,2,7,4,5]=>[4,1,6,7,2,5,3]=>{{1,4,7},{2},{3,6},{5}}=>{{1,2,5},{3},{4,7},{6}}=>5
[3,6,1,2,7,5,4]=>[4,1,7,6,2,5,3]=>{{1,4,6},{2},{3,7},{5}}=>{{1,4},{2,5,7},{3},{6}}=>4
[3,6,1,4,2,5,7]=>[5,1,4,6,2,7,3]=>{{1,5},{2},{3,4,6,7}}=>{{1,4,5,7},{2,6},{3}}=>7
[3,6,1,4,2,7,5]=>[5,1,4,7,2,6,3]=>{{1,5},{2},{3,4,7},{6}}=>{{1,4,5},{2,6},{3},{7}}=>5
[3,6,1,4,5,2,7]=>[6,1,4,5,2,7,3]=>{{1,6,7},{2},{3,4,5}}=>{{1,2,7},{3},{4,5,6}}=>7
[3,6,1,4,5,7,2]=>[7,1,4,5,2,6,3]=>{{1,7},{2},{3,4,5},{6}}=>{{1,2},{3},{4,5,6},{7}}=>2
[3,6,1,4,7,2,5]=>[6,1,4,7,2,5,3]=>{{1,6},{2},{3,4,7},{5}}=>{{1,4,5},{2,7},{3},{6}}=>5
[3,6,1,4,7,5,2]=>[7,1,4,6,2,5,3]=>{{1,7},{2},{3,4,6},{5}}=>{{1,2},{3},{4,5,7},{6}}=>2
[3,6,1,5,2,4,7]=>[5,1,6,4,2,7,3]=>{{1,5},{2},{3,6,7},{4}}=>{{1,4,7},{2,6},{3},{5}}=>7
[3,6,1,5,2,7,4]=>[5,1,7,4,2,6,3]=>{{1,5},{2},{3,7},{4},{6}}=>{{1,4},{2,6},{3},{5},{7}}=>4
[3,6,1,5,4,2,7]=>[6,1,5,4,2,7,3]=>{{1,6,7},{2},{3,5},{4}}=>{{1,2,7},{3},{4,6},{5}}=>7
[3,6,1,5,4,7,2]=>[7,1,5,4,2,6,3]=>{{1,7},{2},{3,5},{4},{6}}=>{{1,2},{3},{4,6},{5},{7}}=>2
[3,6,1,5,7,2,4]=>[6,1,7,4,2,5,3]=>{{1,6},{2},{3,7},{4},{5}}=>{{1,4},{2,7},{3},{5},{6}}=>4
[3,6,1,5,7,4,2]=>[7,1,6,4,2,5,3]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,2},{3},{4,7},{5},{6}}=>2
[3,6,1,7,2,4,5]=>[5,1,6,7,2,4,3]=>{{1,5},{2},{3,6},{4,7}}=>{{1,5},{2,6},{3},{4,7}}=>5
[3,6,1,7,2,5,4]=>[5,1,7,6,2,4,3]=>{{1,5},{2},{3,7},{4,6}}=>{{1,4},{2,6},{3},{5,7}}=>4
[3,6,1,7,4,2,5]=>[6,1,5,7,2,4,3]=>{{1,6},{2},{3,5},{4,7}}=>{{1,5},{2,7},{3},{4,6}}=>5
[3,6,1,7,4,5,2]=>[7,1,5,6,2,4,3]=>{{1,7},{2},{3,5},{4,6}}=>{{1,2},{3},{4,6},{5,7}}=>2
[3,6,1,7,5,2,4]=>[6,1,7,5,2,4,3]=>{{1,6},{2},{3,7},{4,5}}=>{{1,4},{2,7},{3},{5,6}}=>4
[3,6,1,7,5,4,2]=>[7,1,6,5,2,4,3]=>{{1,7},{2},{3,6},{4,5}}=>{{1,2},{3},{4,7},{5,6}}=>2
[3,6,2,1,4,5,7]=>[3,1,5,6,2,7,4]=>{{1,3,5},{2},{4,6,7}}=>{{1,5,7},{2,4,6},{3}}=>7
[3,6,2,1,4,7,5]=>[3,1,5,7,2,6,4]=>{{1,3,5},{2},{4,7},{6}}=>{{1,5},{2,4,6},{3},{7}}=>5
[3,6,2,1,5,4,7]=>[3,1,6,5,2,7,4]=>{{1,3,6,7},{2},{4,5}}=>{{1,2,4,7},{3},{5,6}}=>7
[3,6,2,1,5,7,4]=>[3,1,7,5,2,6,4]=>{{1,3,7},{2},{4,5},{6}}=>{{1,2,4},{3},{5,6},{7}}=>4
[3,6,2,1,7,4,5]=>[3,1,6,7,2,5,4]=>{{1,3,6},{2},{4,7},{5}}=>{{1,5},{2,4,7},{3},{6}}=>5
[3,6,2,1,7,5,4]=>[3,1,7,6,2,5,4]=>{{1,3,7},{2},{4,6},{5}}=>{{1,2,4},{3},{5,7},{6}}=>4
[3,6,2,4,1,5,7]=>[3,1,4,6,2,7,5]=>{{1,3,4,6,7},{2},{5}}=>{{1,2,4,5,7},{3},{6}}=>7
[3,6,2,4,1,7,5]=>[3,1,4,7,2,6,5]=>{{1,3,4,7},{2},{5},{6}}=>{{1,2,4,5},{3},{6},{7}}=>5
[3,6,2,4,5,1,7]=>[3,1,4,5,2,7,6]=>{{1,3,4,5},{2},{6,7}}=>{{1,7},{2,4,5,6},{3}}=>7
[3,6,2,4,5,7,1]=>[3,1,4,5,2,6,7]=>{{1,3,4,5},{2},{6},{7}}=>{{1},{2,4,5,6},{3},{7}}=>1
[3,6,2,4,7,1,5]=>[3,1,4,7,2,5,6]=>{{1,3,4,7},{2},{5},{6}}=>{{1,2,4,5},{3},{6},{7}}=>5
[3,6,2,4,7,5,1]=>[3,1,4,6,2,5,7]=>{{1,3,4,6},{2},{5},{7}}=>{{1},{2,4,5,7},{3},{6}}=>1
[3,6,2,5,1,4,7]=>[3,1,6,4,2,7,5]=>{{1,3,6,7},{2},{4},{5}}=>{{1,2,4,7},{3},{5},{6}}=>7
[3,6,2,5,1,7,4]=>[3,1,7,4,2,6,5]=>{{1,3,7},{2},{4},{5},{6}}=>{{1,2,4},{3},{5},{6},{7}}=>4
[3,6,2,5,4,1,7]=>[3,1,5,4,2,7,6]=>{{1,3,5},{2},{4},{6,7}}=>{{1,7},{2,4,6},{3},{5}}=>7
[3,6,2,5,4,7,1]=>[3,1,5,4,2,6,7]=>{{1,3,5},{2},{4},{6},{7}}=>{{1},{2,4,6},{3},{5},{7}}=>1
[3,6,2,5,7,1,4]=>[3,1,7,4,2,5,6]=>{{1,3,7},{2},{4},{5},{6}}=>{{1,2,4},{3},{5},{6},{7}}=>4
[3,6,2,5,7,4,1]=>[3,1,6,4,2,5,7]=>{{1,3,6},{2},{4},{5},{7}}=>{{1},{2,4,7},{3},{5},{6}}=>1
[3,6,2,7,1,4,5]=>[3,1,6,7,2,4,5]=>{{1,3,6},{2},{4,7},{5}}=>{{1,5},{2,4,7},{3},{6}}=>5
[3,6,2,7,1,5,4]=>[3,1,7,6,2,4,5]=>{{1,3,7},{2},{4,6},{5}}=>{{1,2,4},{3},{5,7},{6}}=>4
[3,6,2,7,4,1,5]=>[3,1,5,7,2,4,6]=>{{1,3,5},{2},{4,7},{6}}=>{{1,5},{2,4,6},{3},{7}}=>5
[3,6,2,7,4,5,1]=>[3,1,5,6,2,4,7]=>{{1,3,5},{2},{4,6},{7}}=>{{1},{2,4,6},{3},{5,7}}=>1
[3,6,2,7,5,1,4]=>[3,1,7,5,2,4,6]=>{{1,3,7},{2},{4,5},{6}}=>{{1,2,4},{3},{5,6},{7}}=>4
[3,6,2,7,5,4,1]=>[3,1,6,5,2,4,7]=>{{1,3,6},{2},{4,5},{7}}=>{{1},{2,4,7},{3},{5,6}}=>1
[3,6,4,1,2,5,7]=>[5,1,3,6,2,7,4]=>{{1,5},{2},{3},{4,6,7}}=>{{1,5,7},{2,6},{3},{4}}=>7
[3,6,4,1,2,7,5]=>[5,1,3,7,2,6,4]=>{{1,5},{2},{3},{4,7},{6}}=>{{1,5},{2,6},{3},{4},{7}}=>5
[3,6,4,1,5,2,7]=>[6,1,3,5,2,7,4]=>{{1,6,7},{2},{3},{4,5}}=>{{1,2,7},{3},{4},{5,6}}=>7
[3,6,4,1,5,7,2]=>[7,1,3,5,2,6,4]=>{{1,7},{2},{3},{4,5},{6}}=>{{1,2},{3},{4},{5,6},{7}}=>2
[3,6,4,1,7,2,5]=>[6,1,3,7,2,5,4]=>{{1,6},{2},{3},{4,7},{5}}=>{{1,5},{2,7},{3},{4},{6}}=>5
[3,6,4,1,7,5,2]=>[7,1,3,6,2,5,4]=>{{1,7},{2},{3},{4,6},{5}}=>{{1,2},{3},{4},{5,7},{6}}=>2
[3,6,4,2,1,5,7]=>[4,1,3,6,2,7,5]=>{{1,4,6,7},{2},{3},{5}}=>{{1,2,5,7},{3},{4},{6}}=>7
[3,6,4,2,1,7,5]=>[4,1,3,7,2,6,5]=>{{1,4,7},{2},{3},{5},{6}}=>{{1,2,5},{3},{4},{6},{7}}=>5
[3,6,4,2,5,1,7]=>[4,1,3,5,2,7,6]=>{{1,4,5},{2},{3},{6,7}}=>{{1,7},{2,5,6},{3},{4}}=>7
[3,6,4,2,5,7,1]=>[4,1,3,5,2,6,7]=>{{1,4,5},{2},{3},{6},{7}}=>{{1},{2,5,6},{3},{4},{7}}=>1
[3,6,4,2,7,1,5]=>[4,1,3,7,2,5,6]=>{{1,4,7},{2},{3},{5},{6}}=>{{1,2,5},{3},{4},{6},{7}}=>5
[3,6,4,2,7,5,1]=>[4,1,3,6,2,5,7]=>{{1,4,6},{2},{3},{5},{7}}=>{{1},{2,5,7},{3},{4},{6}}=>1
[3,6,4,5,1,2,7]=>[6,1,3,4,2,7,5]=>{{1,6,7},{2},{3},{4},{5}}=>{{1,2,7},{3},{4},{5},{6}}=>7
[3,6,4,5,1,7,2]=>[7,1,3,4,2,6,5]=>{{1,7},{2},{3},{4},{5},{6}}=>{{1,2},{3},{4},{5},{6},{7}}=>2
[3,6,4,5,2,1,7]=>[5,1,3,4,2,7,6]=>{{1,5},{2},{3},{4},{6,7}}=>{{1,7},{2,6},{3},{4},{5}}=>7
[3,6,4,5,2,7,1]=>[5,1,3,4,2,6,7]=>{{1,5},{2},{3},{4},{6},{7}}=>{{1},{2,6},{3},{4},{5},{7}}=>1
[3,6,4,5,7,1,2]=>[7,1,3,4,2,5,6]=>{{1,7},{2},{3},{4},{5},{6}}=>{{1,2},{3},{4},{5},{6},{7}}=>2
[3,6,4,5,7,2,1]=>[6,1,3,4,2,5,7]=>{{1,6},{2},{3},{4},{5},{7}}=>{{1},{2,7},{3},{4},{5},{6}}=>1
[3,6,4,7,1,2,5]=>[6,1,3,7,2,4,5]=>{{1,6},{2},{3},{4,7},{5}}=>{{1,5},{2,7},{3},{4},{6}}=>5
[3,6,4,7,1,5,2]=>[7,1,3,6,2,4,5]=>{{1,7},{2},{3},{4,6},{5}}=>{{1,2},{3},{4},{5,7},{6}}=>2
[3,6,4,7,2,1,5]=>[5,1,3,7,2,4,6]=>{{1,5},{2},{3},{4,7},{6}}=>{{1,5},{2,6},{3},{4},{7}}=>5
[3,6,4,7,2,5,1]=>[5,1,3,6,2,4,7]=>{{1,5},{2},{3},{4,6},{7}}=>{{1},{2,6},{3},{4},{5,7}}=>1
[3,6,4,7,5,1,2]=>[7,1,3,5,2,4,6]=>{{1,7},{2},{3},{4,5},{6}}=>{{1,2},{3},{4},{5,6},{7}}=>2
[3,6,4,7,5,2,1]=>[6,1,3,5,2,4,7]=>{{1,6},{2},{3},{4,5},{7}}=>{{1},{2,7},{3},{4},{5,6}}=>1
[3,6,5,1,2,4,7]=>[5,1,6,3,2,7,4]=>{{1,5},{2},{3,6,7},{4}}=>{{1,4,7},{2,6},{3},{5}}=>7
[3,6,5,1,2,7,4]=>[5,1,7,3,2,6,4]=>{{1,5},{2},{3,7},{4},{6}}=>{{1,4},{2,6},{3},{5},{7}}=>4
[3,6,5,1,4,2,7]=>[6,1,5,3,2,7,4]=>{{1,6,7},{2},{3,5},{4}}=>{{1,2,7},{3},{4,6},{5}}=>7
[3,6,5,1,4,7,2]=>[7,1,5,3,2,6,4]=>{{1,7},{2},{3,5},{4},{6}}=>{{1,2},{3},{4,6},{5},{7}}=>2
[3,6,5,1,7,2,4]=>[6,1,7,3,2,5,4]=>{{1,6},{2},{3,7},{4},{5}}=>{{1,4},{2,7},{3},{5},{6}}=>4
[3,6,5,1,7,4,2]=>[7,1,6,3,2,5,4]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,2},{3},{4,7},{5},{6}}=>2
[3,6,5,2,1,4,7]=>[4,1,6,3,2,7,5]=>{{1,4},{2},{3,6,7},{5}}=>{{1,4,7},{2,5},{3},{6}}=>7
[3,6,5,2,1,7,4]=>[4,1,7,3,2,6,5]=>{{1,4},{2},{3,7},{5},{6}}=>{{1,4},{2,5},{3},{6},{7}}=>4
[3,6,5,2,4,1,7]=>[4,1,5,3,2,7,6]=>{{1,4},{2},{3,5},{6,7}}=>{{1,7},{2,5},{3},{4,6}}=>7
[3,6,5,2,4,7,1]=>[4,1,5,3,2,6,7]=>{{1,4},{2},{3,5},{6},{7}}=>{{1},{2,5},{3},{4,6},{7}}=>1
[3,6,5,2,7,1,4]=>[4,1,7,3,2,5,6]=>{{1,4},{2},{3,7},{5},{6}}=>{{1,4},{2,5},{3},{6},{7}}=>4
[3,6,5,2,7,4,1]=>[4,1,6,3,2,5,7]=>{{1,4},{2},{3,6},{5},{7}}=>{{1},{2,5},{3},{4,7},{6}}=>1
[3,6,5,4,1,2,7]=>[6,1,4,3,2,7,5]=>{{1,6,7},{2},{3,4},{5}}=>{{1,2,7},{3},{4,5},{6}}=>7
[3,6,5,4,1,7,2]=>[7,1,4,3,2,6,5]=>{{1,7},{2},{3,4},{5},{6}}=>{{1,2},{3},{4,5},{6},{7}}=>2
[3,6,5,4,2,1,7]=>[5,1,4,3,2,7,6]=>{{1,5},{2},{3,4},{6,7}}=>{{1,7},{2,6},{3},{4,5}}=>7
[3,6,5,4,2,7,1]=>[5,1,4,3,2,6,7]=>{{1,5},{2},{3,4},{6},{7}}=>{{1},{2,6},{3},{4,5},{7}}=>1
[3,6,5,4,7,1,2]=>[7,1,4,3,2,5,6]=>{{1,7},{2},{3,4},{5},{6}}=>{{1,2},{3},{4,5},{6},{7}}=>2
[3,6,5,4,7,2,1]=>[6,1,4,3,2,5,7]=>{{1,6},{2},{3,4},{5},{7}}=>{{1},{2,7},{3},{4,5},{6}}=>1
[3,6,5,7,1,2,4]=>[6,1,7,3,2,4,5]=>{{1,6},{2},{3,7},{4},{5}}=>{{1,4},{2,7},{3},{5},{6}}=>4
[3,6,5,7,1,4,2]=>[7,1,6,3,2,4,5]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,2},{3},{4,7},{5},{6}}=>2
[3,6,5,7,2,1,4]=>[5,1,7,3,2,4,6]=>{{1,5},{2},{3,7},{4},{6}}=>{{1,4},{2,6},{3},{5},{7}}=>4
[3,6,5,7,2,4,1]=>[5,1,6,3,2,4,7]=>{{1,5},{2},{3,6},{4},{7}}=>{{1},{2,6},{3},{4,7},{5}}=>1
[3,6,5,7,4,1,2]=>[7,1,5,3,2,4,6]=>{{1,7},{2},{3,5},{4},{6}}=>{{1,2},{3},{4,6},{5},{7}}=>2
[3,6,5,7,4,2,1]=>[6,1,5,3,2,4,7]=>{{1,6},{2},{3,5},{4},{7}}=>{{1},{2,7},{3},{4,6},{5}}=>1
[3,6,7,1,2,4,5]=>[5,1,6,7,2,3,4]=>{{1,5},{2},{3,6},{4,7}}=>{{1,5},{2,6},{3},{4,7}}=>5
[3,6,7,1,2,5,4]=>[5,1,7,6,2,3,4]=>{{1,5},{2},{3,7},{4,6}}=>{{1,4},{2,6},{3},{5,7}}=>4
[3,6,7,1,4,2,5]=>[6,1,5,7,2,3,4]=>{{1,6},{2},{3,5},{4,7}}=>{{1,5},{2,7},{3},{4,6}}=>5
[3,6,7,1,4,5,2]=>[7,1,5,6,2,3,4]=>{{1,7},{2},{3,5},{4,6}}=>{{1,2},{3},{4,6},{5,7}}=>2
[3,6,7,1,5,2,4]=>[6,1,7,5,2,3,4]=>{{1,6},{2},{3,7},{4,5}}=>{{1,4},{2,7},{3},{5,6}}=>4
[3,6,7,1,5,4,2]=>[7,1,6,5,2,3,4]=>{{1,7},{2},{3,6},{4,5}}=>{{1,2},{3},{4,7},{5,6}}=>2
[3,6,7,2,1,4,5]=>[4,1,6,7,2,3,5]=>{{1,4,7},{2},{3,6},{5}}=>{{1,2,5},{3},{4,7},{6}}=>5
[3,6,7,2,1,5,4]=>[4,1,7,6,2,3,5]=>{{1,4,6},{2},{3,7},{5}}=>{{1,4},{2,5,7},{3},{6}}=>4
[3,6,7,2,4,1,5]=>[4,1,5,7,2,3,6]=>{{1,4,7},{2},{3,5},{6}}=>{{1,2,5},{3},{4,6},{7}}=>5
[3,6,7,2,4,5,1]=>[4,1,5,6,2,3,7]=>{{1,4,6},{2},{3,5},{7}}=>{{1},{2,5,7},{3},{4,6}}=>1
[3,6,7,2,5,1,4]=>[4,1,7,5,2,3,6]=>{{1,4,5},{2},{3,7},{6}}=>{{1,4},{2,5,6},{3},{7}}=>4
[3,6,7,2,5,4,1]=>[4,1,6,5,2,3,7]=>{{1,4,5},{2},{3,6},{7}}=>{{1},{2,5,6},{3},{4,7}}=>1
[3,6,7,4,1,2,5]=>[6,1,4,7,2,3,5]=>{{1,6},{2},{3,4,7},{5}}=>{{1,4,5},{2,7},{3},{6}}=>5
[3,6,7,4,1,5,2]=>[7,1,4,6,2,3,5]=>{{1,7},{2},{3,4,6},{5}}=>{{1,2},{3},{4,5,7},{6}}=>2
[3,6,7,4,2,1,5]=>[5,1,4,7,2,3,6]=>{{1,5},{2},{3,4,7},{6}}=>{{1,4,5},{2,6},{3},{7}}=>5
[3,6,7,4,2,5,1]=>[5,1,4,6,2,3,7]=>{{1,5},{2},{3,4,6},{7}}=>{{1},{2,6},{3},{4,5,7}}=>1
[3,6,7,4,5,1,2]=>[7,1,4,5,2,3,6]=>{{1,7},{2},{3,4,5},{6}}=>{{1,2},{3},{4,5,6},{7}}=>2
[3,6,7,4,5,2,1]=>[6,1,4,5,2,3,7]=>{{1,6},{2},{3,4,5},{7}}=>{{1},{2,7},{3},{4,5,6}}=>1
[3,6,7,5,1,2,4]=>[6,1,7,4,2,3,5]=>{{1,6},{2},{3,7},{4},{5}}=>{{1,4},{2,7},{3},{5},{6}}=>4
[3,6,7,5,1,4,2]=>[7,1,6,4,2,3,5]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,2},{3},{4,7},{5},{6}}=>2
[3,6,7,5,2,1,4]=>[5,1,7,4,2,3,6]=>{{1,5},{2},{3,7},{4},{6}}=>{{1,4},{2,6},{3},{5},{7}}=>4
[3,6,7,5,2,4,1]=>[5,1,6,4,2,3,7]=>{{1,5},{2},{3,6},{4},{7}}=>{{1},{2,6},{3},{4,7},{5}}=>1
[3,6,7,5,4,1,2]=>[7,1,5,4,2,3,6]=>{{1,7},{2},{3,5},{4},{6}}=>{{1,2},{3},{4,6},{5},{7}}=>2
[3,6,7,5,4,2,1]=>[6,1,5,4,2,3,7]=>{{1,6},{2},{3,5},{4},{7}}=>{{1},{2,7},{3},{4,6},{5}}=>1
[3,7,1,2,4,5,6]=>[4,1,5,6,7,2,3]=>{{1,4,6},{2},{3,5,7}}=>{{1,4,6},{2,5,7},{3}}=>6
[3,7,1,2,4,6,5]=>[4,1,5,7,6,2,3]=>{{1,4,7},{2},{3,5,6}}=>{{1,2,5},{3},{4,6,7}}=>5
[3,7,1,2,5,4,6]=>[4,1,6,5,7,2,3]=>{{1,4,5,7},{2},{3,6}}=>{{1,2,5,6},{3},{4,7}}=>6
[3,7,1,2,5,6,4]=>[4,1,7,5,6,2,3]=>{{1,4,5,6},{2},{3,7}}=>{{1,4},{2,5,6,7},{3}}=>4
[3,7,1,2,6,4,5]=>[4,1,6,7,5,2,3]=>{{1,4,7},{2},{3,6},{5}}=>{{1,2,5},{3},{4,7},{6}}=>5
[3,7,1,2,6,5,4]=>[4,1,7,6,5,2,3]=>{{1,4,6},{2},{3,7},{5}}=>{{1,4},{2,5,7},{3},{6}}=>4
[3,7,1,4,2,5,6]=>[5,1,4,6,7,2,3]=>{{1,5,7},{2},{3,4,6}}=>{{1,2,6},{3},{4,5,7}}=>6
[3,7,1,4,2,6,5]=>[5,1,4,7,6,2,3]=>{{1,5,6},{2},{3,4,7}}=>{{1,4,5},{2,6,7},{3}}=>5
[3,7,1,4,5,2,6]=>[6,1,4,5,7,2,3]=>{{1,6},{2},{3,4,5,7}}=>{{1,4,5,6},{2,7},{3}}=>6
[3,7,1,4,5,6,2]=>[7,1,4,5,6,2,3]=>{{1,7},{2},{3,4,5,6}}=>{{1,2},{3},{4,5,6,7}}=>2
[3,7,1,4,6,2,5]=>[6,1,4,7,5,2,3]=>{{1,6},{2},{3,4,7},{5}}=>{{1,4,5},{2,7},{3},{6}}=>5
[3,7,1,4,6,5,2]=>[7,1,4,6,5,2,3]=>{{1,7},{2},{3,4,6},{5}}=>{{1,2},{3},{4,5,7},{6}}=>2
[3,7,1,5,2,4,6]=>[5,1,6,4,7,2,3]=>{{1,5,7},{2},{3,6},{4}}=>{{1,2,6},{3},{4,7},{5}}=>6
[3,7,1,5,2,6,4]=>[5,1,7,4,6,2,3]=>{{1,5,6},{2},{3,7},{4}}=>{{1,4},{2,6,7},{3},{5}}=>4
[3,7,1,5,4,2,6]=>[6,1,5,4,7,2,3]=>{{1,6},{2},{3,5,7},{4}}=>{{1,4,6},{2,7},{3},{5}}=>6
[3,7,1,5,4,6,2]=>[7,1,5,4,6,2,3]=>{{1,7},{2},{3,5,6},{4}}=>{{1,2},{3},{4,6,7},{5}}=>2
[3,7,1,5,6,2,4]=>[6,1,7,4,5,2,3]=>{{1,6},{2},{3,7},{4},{5}}=>{{1,4},{2,7},{3},{5},{6}}=>4
[3,7,1,5,6,4,2]=>[7,1,6,4,5,2,3]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,2},{3},{4,7},{5},{6}}=>2
[3,7,1,6,2,4,5]=>[5,1,6,7,4,2,3]=>{{1,5},{2},{3,6},{4,7}}=>{{1,5},{2,6},{3},{4,7}}=>5
[3,7,1,6,2,5,4]=>[5,1,7,6,4,2,3]=>{{1,5},{2},{3,7},{4,6}}=>{{1,4},{2,6},{3},{5,7}}=>4
[3,7,1,6,4,2,5]=>[6,1,5,7,4,2,3]=>{{1,6},{2},{3,5},{4,7}}=>{{1,5},{2,7},{3},{4,6}}=>5
[3,7,1,6,4,5,2]=>[7,1,5,6,4,2,3]=>{{1,7},{2},{3,5},{4,6}}=>{{1,2},{3},{4,6},{5,7}}=>2
[3,7,1,6,5,2,4]=>[6,1,7,5,4,2,3]=>{{1,6},{2},{3,7},{4,5}}=>{{1,4},{2,7},{3},{5,6}}=>4
[3,7,1,6,5,4,2]=>[7,1,6,5,4,2,3]=>{{1,7},{2},{3,6},{4,5}}=>{{1,2},{3},{4,7},{5,6}}=>2
[3,7,2,1,4,5,6]=>[3,1,5,6,7,2,4]=>{{1,3,5,7},{2},{4,6}}=>{{1,2,4,6},{3},{5,7}}=>6
[3,7,2,1,4,6,5]=>[3,1,5,7,6,2,4]=>{{1,3,5,6},{2},{4,7}}=>{{1,5},{2,4,6,7},{3}}=>5
[3,7,2,1,5,4,6]=>[3,1,6,5,7,2,4]=>{{1,3,6},{2},{4,5,7}}=>{{1,5,6},{2,4,7},{3}}=>6
[3,7,2,1,5,6,4]=>[3,1,7,5,6,2,4]=>{{1,3,7},{2},{4,5,6}}=>{{1,2,4},{3},{5,6,7}}=>4
[3,7,2,1,6,4,5]=>[3,1,6,7,5,2,4]=>{{1,3,6},{2},{4,7},{5}}=>{{1,5},{2,4,7},{3},{6}}=>5
[3,7,2,1,6,5,4]=>[3,1,7,6,5,2,4]=>{{1,3,7},{2},{4,6},{5}}=>{{1,2,4},{3},{5,7},{6}}=>4
[3,7,2,4,1,5,6]=>[3,1,4,6,7,2,5]=>{{1,3,4,6},{2},{5,7}}=>{{1,6},{2,4,5,7},{3}}=>6
[3,7,2,4,1,6,5]=>[3,1,4,7,6,2,5]=>{{1,3,4,7},{2},{5,6}}=>{{1,2,4,5},{3},{6,7}}=>5
[3,7,2,4,5,1,6]=>[3,1,4,5,7,2,6]=>{{1,3,4,5,7},{2},{6}}=>{{1,2,4,5,6},{3},{7}}=>6
[3,7,2,4,5,6,1]=>[3,1,4,5,6,2,7]=>{{1,3,4,5,6},{2},{7}}=>{{1},{2,4,5,6,7},{3}}=>1
[3,7,2,4,6,1,5]=>[3,1,4,7,5,2,6]=>{{1,3,4,7},{2},{5},{6}}=>{{1,2,4,5},{3},{6},{7}}=>5
[3,7,2,4,6,5,1]=>[3,1,4,6,5,2,7]=>{{1,3,4,6},{2},{5},{7}}=>{{1},{2,4,5,7},{3},{6}}=>1
[3,7,2,5,1,4,6]=>[3,1,6,4,7,2,5]=>{{1,3,6},{2},{4},{5,7}}=>{{1,6},{2,4,7},{3},{5}}=>6
[3,7,2,5,1,6,4]=>[3,1,7,4,6,2,5]=>{{1,3,7},{2},{4},{5,6}}=>{{1,2,4},{3},{5},{6,7}}=>4
[3,7,2,5,4,1,6]=>[3,1,5,4,7,2,6]=>{{1,3,5,7},{2},{4},{6}}=>{{1,2,4,6},{3},{5},{7}}=>6
[3,7,2,5,4,6,1]=>[3,1,5,4,6,2,7]=>{{1,3,5,6},{2},{4},{7}}=>{{1},{2,4,6,7},{3},{5}}=>1
[3,7,2,5,6,1,4]=>[3,1,7,4,5,2,6]=>{{1,3,7},{2},{4},{5},{6}}=>{{1,2,4},{3},{5},{6},{7}}=>4
[3,7,2,5,6,4,1]=>[3,1,6,4,5,2,7]=>{{1,3,6},{2},{4},{5},{7}}=>{{1},{2,4,7},{3},{5},{6}}=>1
[3,7,2,6,1,4,5]=>[3,1,6,7,4,2,5]=>{{1,3,6},{2},{4,7},{5}}=>{{1,5},{2,4,7},{3},{6}}=>5
[3,7,2,6,1,5,4]=>[3,1,7,6,4,2,5]=>{{1,3,7},{2},{4,6},{5}}=>{{1,2,4},{3},{5,7},{6}}=>4
[3,7,2,6,4,1,5]=>[3,1,5,7,4,2,6]=>{{1,3,5},{2},{4,7},{6}}=>{{1,5},{2,4,6},{3},{7}}=>5
[3,7,2,6,4,5,1]=>[3,1,5,6,4,2,7]=>{{1,3,5},{2},{4,6},{7}}=>{{1},{2,4,6},{3},{5,7}}=>1
[3,7,2,6,5,1,4]=>[3,1,7,5,4,2,6]=>{{1,3,7},{2},{4,5},{6}}=>{{1,2,4},{3},{5,6},{7}}=>4
[3,7,2,6,5,4,1]=>[3,1,6,5,4,2,7]=>{{1,3,6},{2},{4,5},{7}}=>{{1},{2,4,7},{3},{5,6}}=>1
[3,7,4,1,2,5,6]=>[5,1,3,6,7,2,4]=>{{1,5,7},{2},{3},{4,6}}=>{{1,2,6},{3},{4},{5,7}}=>6
[3,7,4,1,2,6,5]=>[5,1,3,7,6,2,4]=>{{1,5,6},{2},{3},{4,7}}=>{{1,5},{2,6,7},{3},{4}}=>5
[3,7,4,1,5,2,6]=>[6,1,3,5,7,2,4]=>{{1,6},{2},{3},{4,5,7}}=>{{1,5,6},{2,7},{3},{4}}=>6
[3,7,4,1,5,6,2]=>[7,1,3,5,6,2,4]=>{{1,7},{2},{3},{4,5,6}}=>{{1,2},{3},{4},{5,6,7}}=>2
[3,7,4,1,6,2,5]=>[6,1,3,7,5,2,4]=>{{1,6},{2},{3},{4,7},{5}}=>{{1,5},{2,7},{3},{4},{6}}=>5
[3,7,4,1,6,5,2]=>[7,1,3,6,5,2,4]=>{{1,7},{2},{3},{4,6},{5}}=>{{1,2},{3},{4},{5,7},{6}}=>2
[3,7,4,2,1,5,6]=>[4,1,3,6,7,2,5]=>{{1,4,6},{2},{3},{5,7}}=>{{1,6},{2,5,7},{3},{4}}=>6
[3,7,4,2,1,6,5]=>[4,1,3,7,6,2,5]=>{{1,4,7},{2},{3},{5,6}}=>{{1,2,5},{3},{4},{6,7}}=>5
[3,7,4,2,5,1,6]=>[4,1,3,5,7,2,6]=>{{1,4,5,7},{2},{3},{6}}=>{{1,2,5,6},{3},{4},{7}}=>6
[3,7,4,2,5,6,1]=>[4,1,3,5,6,2,7]=>{{1,4,5,6},{2},{3},{7}}=>{{1},{2,5,6,7},{3},{4}}=>1
[3,7,4,2,6,1,5]=>[4,1,3,7,5,2,6]=>{{1,4,7},{2},{3},{5},{6}}=>{{1,2,5},{3},{4},{6},{7}}=>5
[3,7,4,2,6,5,1]=>[4,1,3,6,5,2,7]=>{{1,4,6},{2},{3},{5},{7}}=>{{1},{2,5,7},{3},{4},{6}}=>1
[3,7,4,5,1,2,6]=>[6,1,3,4,7,2,5]=>{{1,6},{2},{3},{4},{5,7}}=>{{1,6},{2,7},{3},{4},{5}}=>6
[3,7,4,5,1,6,2]=>[7,1,3,4,6,2,5]=>{{1,7},{2},{3},{4},{5,6}}=>{{1,2},{3},{4},{5},{6,7}}=>2
[3,7,4,5,2,1,6]=>[5,1,3,4,7,2,6]=>{{1,5,7},{2},{3},{4},{6}}=>{{1,2,6},{3},{4},{5},{7}}=>6
[3,7,4,5,2,6,1]=>[5,1,3,4,6,2,7]=>{{1,5,6},{2},{3},{4},{7}}=>{{1},{2,6,7},{3},{4},{5}}=>1
[3,7,4,5,6,1,2]=>[7,1,3,4,5,2,6]=>{{1,7},{2},{3},{4},{5},{6}}=>{{1,2},{3},{4},{5},{6},{7}}=>2
[3,7,4,5,6,2,1]=>[6,1,3,4,5,2,7]=>{{1,6},{2},{3},{4},{5},{7}}=>{{1},{2,7},{3},{4},{5},{6}}=>1
[3,7,4,6,1,2,5]=>[6,1,3,7,4,2,5]=>{{1,6},{2},{3},{4,7},{5}}=>{{1,5},{2,7},{3},{4},{6}}=>5
[3,7,4,6,1,5,2]=>[7,1,3,6,4,2,5]=>{{1,7},{2},{3},{4,6},{5}}=>{{1,2},{3},{4},{5,7},{6}}=>2
[3,7,4,6,2,1,5]=>[5,1,3,7,4,2,6]=>{{1,5},{2},{3},{4,7},{6}}=>{{1,5},{2,6},{3},{4},{7}}=>5
[3,7,4,6,2,5,1]=>[5,1,3,6,4,2,7]=>{{1,5},{2},{3},{4,6},{7}}=>{{1},{2,6},{3},{4},{5,7}}=>1
[3,7,4,6,5,1,2]=>[7,1,3,5,4,2,6]=>{{1,7},{2},{3},{4,5},{6}}=>{{1,2},{3},{4},{5,6},{7}}=>2
[3,7,4,6,5,2,1]=>[6,1,3,5,4,2,7]=>{{1,6},{2},{3},{4,5},{7}}=>{{1},{2,7},{3},{4},{5,6}}=>1
[3,7,5,1,2,4,6]=>[5,1,6,3,7,2,4]=>{{1,5,7},{2},{3,6},{4}}=>{{1,2,6},{3},{4,7},{5}}=>6
[3,7,5,1,2,6,4]=>[5,1,7,3,6,2,4]=>{{1,5,6},{2},{3,7},{4}}=>{{1,4},{2,6,7},{3},{5}}=>4
[3,7,5,1,4,2,6]=>[6,1,5,3,7,2,4]=>{{1,6},{2},{3,5,7},{4}}=>{{1,4,6},{2,7},{3},{5}}=>6
[3,7,5,1,4,6,2]=>[7,1,5,3,6,2,4]=>{{1,7},{2},{3,5,6},{4}}=>{{1,2},{3},{4,6,7},{5}}=>2
[3,7,5,1,6,2,4]=>[6,1,7,3,5,2,4]=>{{1,6},{2},{3,7},{4},{5}}=>{{1,4},{2,7},{3},{5},{6}}=>4
[3,7,5,1,6,4,2]=>[7,1,6,3,5,2,4]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,2},{3},{4,7},{5},{6}}=>2
[3,7,5,2,1,4,6]=>[4,1,6,3,7,2,5]=>{{1,4},{2},{3,6},{5,7}}=>{{1,6},{2,5},{3},{4,7}}=>6
[3,7,5,2,1,6,4]=>[4,1,7,3,6,2,5]=>{{1,4},{2},{3,7},{5,6}}=>{{1,4},{2,5},{3},{6,7}}=>4
[3,7,5,2,4,1,6]=>[4,1,5,3,7,2,6]=>{{1,4},{2},{3,5,7},{6}}=>{{1,4,6},{2,5},{3},{7}}=>6
[3,7,5,2,4,6,1]=>[4,1,5,3,6,2,7]=>{{1,4},{2},{3,5,6},{7}}=>{{1},{2,5},{3},{4,6,7}}=>1
[3,7,5,2,6,1,4]=>[4,1,7,3,5,2,6]=>{{1,4},{2},{3,7},{5},{6}}=>{{1,4},{2,5},{3},{6},{7}}=>4
[3,7,5,2,6,4,1]=>[4,1,6,3,5,2,7]=>{{1,4},{2},{3,6},{5},{7}}=>{{1},{2,5},{3},{4,7},{6}}=>1
[3,7,5,4,1,2,6]=>[6,1,4,3,7,2,5]=>{{1,6},{2},{3,4},{5,7}}=>{{1,6},{2,7},{3},{4,5}}=>6
[3,7,5,4,1,6,2]=>[7,1,4,3,6,2,5]=>{{1,7},{2},{3,4},{5,6}}=>{{1,2},{3},{4,5},{6,7}}=>2
[3,7,5,4,2,1,6]=>[5,1,4,3,7,2,6]=>{{1,5,7},{2},{3,4},{6}}=>{{1,2,6},{3},{4,5},{7}}=>6
[3,7,5,4,2,6,1]=>[5,1,4,3,6,2,7]=>{{1,5,6},{2},{3,4},{7}}=>{{1},{2,6,7},{3},{4,5}}=>1
[3,7,5,4,6,1,2]=>[7,1,4,3,5,2,6]=>{{1,7},{2},{3,4},{5},{6}}=>{{1,2},{3},{4,5},{6},{7}}=>2
[3,7,5,4,6,2,1]=>[6,1,4,3,5,2,7]=>{{1,6},{2},{3,4},{5},{7}}=>{{1},{2,7},{3},{4,5},{6}}=>1
[3,7,5,6,1,2,4]=>[6,1,7,3,4,2,5]=>{{1,6},{2},{3,7},{4},{5}}=>{{1,4},{2,7},{3},{5},{6}}=>4
[3,7,5,6,1,4,2]=>[7,1,6,3,4,2,5]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,2},{3},{4,7},{5},{6}}=>2
[3,7,5,6,2,1,4]=>[5,1,7,3,4,2,6]=>{{1,5},{2},{3,7},{4},{6}}=>{{1,4},{2,6},{3},{5},{7}}=>4
[3,7,5,6,2,4,1]=>[5,1,6,3,4,2,7]=>{{1,5},{2},{3,6},{4},{7}}=>{{1},{2,6},{3},{4,7},{5}}=>1
[3,7,5,6,4,1,2]=>[7,1,5,3,4,2,6]=>{{1,7},{2},{3,5},{4},{6}}=>{{1,2},{3},{4,6},{5},{7}}=>2
[3,7,5,6,4,2,1]=>[6,1,5,3,4,2,7]=>{{1,6},{2},{3,5},{4},{7}}=>{{1},{2,7},{3},{4,6},{5}}=>1
[3,7,6,1,2,4,5]=>[5,1,6,7,3,2,4]=>{{1,5},{2},{3,6},{4,7}}=>{{1,5},{2,6},{3},{4,7}}=>5
[3,7,6,1,2,5,4]=>[5,1,7,6,3,2,4]=>{{1,5},{2},{3,7},{4,6}}=>{{1,4},{2,6},{3},{5,7}}=>4
[3,7,6,1,4,2,5]=>[6,1,5,7,3,2,4]=>{{1,6},{2},{3,5},{4,7}}=>{{1,5},{2,7},{3},{4,6}}=>5
[3,7,6,1,4,5,2]=>[7,1,5,6,3,2,4]=>{{1,7},{2},{3,5},{4,6}}=>{{1,2},{3},{4,6},{5,7}}=>2
[3,7,6,1,5,2,4]=>[6,1,7,5,3,2,4]=>{{1,6},{2},{3,7},{4,5}}=>{{1,4},{2,7},{3},{5,6}}=>4
[3,7,6,1,5,4,2]=>[7,1,6,5,3,2,4]=>{{1,7},{2},{3,6},{4,5}}=>{{1,2},{3},{4,7},{5,6}}=>2
[3,7,6,2,1,4,5]=>[4,1,6,7,3,2,5]=>{{1,4,7},{2},{3,6},{5}}=>{{1,2,5},{3},{4,7},{6}}=>5
[3,7,6,2,1,5,4]=>[4,1,7,6,3,2,5]=>{{1,4,6},{2},{3,7},{5}}=>{{1,4},{2,5,7},{3},{6}}=>4
[3,7,6,2,4,1,5]=>[4,1,5,7,3,2,6]=>{{1,4,7},{2},{3,5},{6}}=>{{1,2,5},{3},{4,6},{7}}=>5
[3,7,6,2,4,5,1]=>[4,1,5,6,3,2,7]=>{{1,4,6},{2},{3,5},{7}}=>{{1},{2,5,7},{3},{4,6}}=>1
[3,7,6,2,5,1,4]=>[4,1,7,5,3,2,6]=>{{1,4,5},{2},{3,7},{6}}=>{{1,4},{2,5,6},{3},{7}}=>4
[3,7,6,2,5,4,1]=>[4,1,6,5,3,2,7]=>{{1,4,5},{2},{3,6},{7}}=>{{1},{2,5,6},{3},{4,7}}=>1
[3,7,6,4,1,2,5]=>[6,1,4,7,3,2,5]=>{{1,6},{2},{3,4,7},{5}}=>{{1,4,5},{2,7},{3},{6}}=>5
[3,7,6,4,1,5,2]=>[7,1,4,6,3,2,5]=>{{1,7},{2},{3,4,6},{5}}=>{{1,2},{3},{4,5,7},{6}}=>2
[3,7,6,4,2,1,5]=>[5,1,4,7,3,2,6]=>{{1,5},{2},{3,4,7},{6}}=>{{1,4,5},{2,6},{3},{7}}=>5
[3,7,6,4,2,5,1]=>[5,1,4,6,3,2,7]=>{{1,5},{2},{3,4,6},{7}}=>{{1},{2,6},{3},{4,5,7}}=>1
[3,7,6,4,5,1,2]=>[7,1,4,5,3,2,6]=>{{1,7},{2},{3,4,5},{6}}=>{{1,2},{3},{4,5,6},{7}}=>2
[3,7,6,4,5,2,1]=>[6,1,4,5,3,2,7]=>{{1,6},{2},{3,4,5},{7}}=>{{1},{2,7},{3},{4,5,6}}=>1
[3,7,6,5,1,2,4]=>[6,1,7,4,3,2,5]=>{{1,6},{2},{3,7},{4},{5}}=>{{1,4},{2,7},{3},{5},{6}}=>4
[3,7,6,5,1,4,2]=>[7,1,6,4,3,2,5]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,2},{3},{4,7},{5},{6}}=>2
[3,7,6,5,2,1,4]=>[5,1,7,4,3,2,6]=>{{1,5},{2},{3,7},{4},{6}}=>{{1,4},{2,6},{3},{5},{7}}=>4
[3,7,6,5,2,4,1]=>[5,1,6,4,3,2,7]=>{{1,5},{2},{3,6},{4},{7}}=>{{1},{2,6},{3},{4,7},{5}}=>1
[3,7,6,5,4,1,2]=>[7,1,5,4,3,2,6]=>{{1,7},{2},{3,5},{4},{6}}=>{{1,2},{3},{4,6},{5},{7}}=>2
[3,7,6,5,4,2,1]=>[6,1,5,4,3,2,7]=>{{1,6},{2},{3,5},{4},{7}}=>{{1},{2,7},{3},{4,6},{5}}=>1
[4,1,2,3,5,6,7]=>[3,4,1,5,6,7,2]=>{{1,3},{2,4,5,6,7}}=>{{1,3,5,6,7},{2,4}}=>7
[4,1,2,3,5,7,6]=>[3,4,1,5,7,6,2]=>{{1,3},{2,4,5,7},{6}}=>{{1,3,5,6},{2,4},{7}}=>6
[4,1,2,3,6,5,7]=>[3,4,1,6,5,7,2]=>{{1,3},{2,4,6,7},{5}}=>{{1,3,5,7},{2,4},{6}}=>7
[4,1,2,3,6,7,5]=>[3,4,1,7,5,6,2]=>{{1,3},{2,4,7},{5},{6}}=>{{1,3,5},{2,4},{6},{7}}=>5
[4,1,2,3,7,5,6]=>[3,4,1,6,7,5,2]=>{{1,3},{2,4,6},{5,7}}=>{{1,6},{2,4},{3,5,7}}=>6
[4,1,2,3,7,6,5]=>[3,4,1,7,6,5,2]=>{{1,3},{2,4,7},{5,6}}=>{{1,3,5},{2,4},{6,7}}=>5
[4,1,2,5,3,6,7]=>[3,5,1,4,6,7,2]=>{{1,3},{2,5,6,7},{4}}=>{{1,3,6,7},{2,4},{5}}=>7
[4,1,2,5,3,7,6]=>[3,5,1,4,7,6,2]=>{{1,3},{2,5,7},{4},{6}}=>{{1,3,6},{2,4},{5},{7}}=>6
[4,1,2,5,6,3,7]=>[3,6,1,4,5,7,2]=>{{1,3},{2,6,7},{4},{5}}=>{{1,3,7},{2,4},{5},{6}}=>7
[4,1,2,5,6,7,3]=>[3,7,1,4,5,6,2]=>{{1,3},{2,7},{4},{5},{6}}=>{{1,3},{2,4},{5},{6},{7}}=>3
[4,1,2,5,7,3,6]=>[3,6,1,4,7,5,2]=>{{1,3},{2,6},{4},{5,7}}=>{{1,6},{2,4},{3,7},{5}}=>6
[4,1,2,5,7,6,3]=>[3,7,1,4,6,5,2]=>{{1,3},{2,7},{4},{5,6}}=>{{1,3},{2,4},{5},{6,7}}=>3
[4,1,2,6,3,5,7]=>[3,5,1,6,4,7,2]=>{{1,3},{2,5},{4,6,7}}=>{{1,5,7},{2,4},{3,6}}=>7
[4,1,2,6,3,7,5]=>[3,5,1,7,4,6,2]=>{{1,3},{2,5},{4,7},{6}}=>{{1,5},{2,4},{3,6},{7}}=>5
[4,1,2,6,5,3,7]=>[3,6,1,5,4,7,2]=>{{1,3},{2,6,7},{4,5}}=>{{1,3,7},{2,4},{5,6}}=>7
[4,1,2,6,5,7,3]=>[3,7,1,5,4,6,2]=>{{1,3},{2,7},{4,5},{6}}=>{{1,3},{2,4},{5,6},{7}}=>3
[4,1,2,6,7,3,5]=>[3,6,1,7,4,5,2]=>{{1,3},{2,6},{4,7},{5}}=>{{1,5},{2,4},{3,7},{6}}=>5
[4,1,2,6,7,5,3]=>[3,7,1,6,4,5,2]=>{{1,3},{2,7},{4,6},{5}}=>{{1,3},{2,4},{5,7},{6}}=>3
[4,1,2,7,3,5,6]=>[3,5,1,6,7,4,2]=>{{1,3},{2,5,7},{4,6}}=>{{1,3,6},{2,4},{5,7}}=>6
[4,1,2,7,3,6,5]=>[3,5,1,7,6,4,2]=>{{1,3},{2,5,6},{4,7}}=>{{1,5},{2,4},{3,6,7}}=>5
[4,1,2,7,5,3,6]=>[3,6,1,5,7,4,2]=>{{1,3},{2,6},{4,5,7}}=>{{1,5,6},{2,4},{3,7}}=>6
[4,1,2,7,5,6,3]=>[3,7,1,5,6,4,2]=>{{1,3},{2,7},{4,5,6}}=>{{1,3},{2,4},{5,6,7}}=>3
[4,1,2,7,6,3,5]=>[3,6,1,7,5,4,2]=>{{1,3},{2,6},{4,7},{5}}=>{{1,5},{2,4},{3,7},{6}}=>5
[4,1,2,7,6,5,3]=>[3,7,1,6,5,4,2]=>{{1,3},{2,7},{4,6},{5}}=>{{1,3},{2,4},{5,7},{6}}=>3
[4,1,3,2,5,6,7]=>[4,3,1,5,6,7,2]=>{{1,4,5,6,7},{2,3}}=>{{1,2,5,6,7},{3,4}}=>7
[4,1,3,2,5,7,6]=>[4,3,1,5,7,6,2]=>{{1,4,5,7},{2,3},{6}}=>{{1,2,5,6},{3,4},{7}}=>6
[4,1,3,2,6,5,7]=>[4,3,1,6,5,7,2]=>{{1,4,6,7},{2,3},{5}}=>{{1,2,5,7},{3,4},{6}}=>7
[4,1,3,2,6,7,5]=>[4,3,1,7,5,6,2]=>{{1,4,7},{2,3},{5},{6}}=>{{1,2,5},{3,4},{6},{7}}=>5
[4,1,3,2,7,5,6]=>[4,3,1,6,7,5,2]=>{{1,4,6},{2,3},{5,7}}=>{{1,6},{2,5,7},{3,4}}=>6
[4,1,3,2,7,6,5]=>[4,3,1,7,6,5,2]=>{{1,4,7},{2,3},{5,6}}=>{{1,2,5},{3,4},{6,7}}=>5
[4,1,3,5,2,6,7]=>[5,3,1,4,6,7,2]=>{{1,5,6,7},{2,3},{4}}=>{{1,2,6,7},{3,4},{5}}=>7
[4,1,3,5,2,7,6]=>[5,3,1,4,7,6,2]=>{{1,5,7},{2,3},{4},{6}}=>{{1,2,6},{3,4},{5},{7}}=>6
[4,1,3,5,6,2,7]=>[6,3,1,4,5,7,2]=>{{1,6,7},{2,3},{4},{5}}=>{{1,2,7},{3,4},{5},{6}}=>7
[4,1,3,5,6,7,2]=>[7,3,1,4,5,6,2]=>{{1,7},{2,3},{4},{5},{6}}=>{{1,2},{3,4},{5},{6},{7}}=>2
[4,1,3,5,7,2,6]=>[6,3,1,4,7,5,2]=>{{1,6},{2,3},{4},{5,7}}=>{{1,6},{2,7},{3,4},{5}}=>6
[4,1,3,5,7,6,2]=>[7,3,1,4,6,5,2]=>{{1,7},{2,3},{4},{5,6}}=>{{1,2},{3,4},{5},{6,7}}=>2
[4,1,3,6,2,5,7]=>[5,3,1,6,4,7,2]=>{{1,5},{2,3},{4,6,7}}=>{{1,5,7},{2,6},{3,4}}=>7
[4,1,3,6,2,7,5]=>[5,3,1,7,4,6,2]=>{{1,5},{2,3},{4,7},{6}}=>{{1,5},{2,6},{3,4},{7}}=>5
[4,1,3,6,5,2,7]=>[6,3,1,5,4,7,2]=>{{1,6,7},{2,3},{4,5}}=>{{1,2,7},{3,4},{5,6}}=>7
[4,1,3,6,5,7,2]=>[7,3,1,5,4,6,2]=>{{1,7},{2,3},{4,5},{6}}=>{{1,2},{3,4},{5,6},{7}}=>2
[4,1,3,6,7,2,5]=>[6,3,1,7,4,5,2]=>{{1,6},{2,3},{4,7},{5}}=>{{1,5},{2,7},{3,4},{6}}=>5
[4,1,3,6,7,5,2]=>[7,3,1,6,4,5,2]=>{{1,7},{2,3},{4,6},{5}}=>{{1,2},{3,4},{5,7},{6}}=>2
[4,1,3,7,2,5,6]=>[5,3,1,6,7,4,2]=>{{1,5,7},{2,3},{4,6}}=>{{1,2,6},{3,4},{5,7}}=>6
[4,1,3,7,2,6,5]=>[5,3,1,7,6,4,2]=>{{1,5,6},{2,3},{4,7}}=>{{1,5},{2,6,7},{3,4}}=>5
[4,1,3,7,5,2,6]=>[6,3,1,5,7,4,2]=>{{1,6},{2,3},{4,5,7}}=>{{1,5,6},{2,7},{3,4}}=>6
[4,1,3,7,5,6,2]=>[7,3,1,5,6,4,2]=>{{1,7},{2,3},{4,5,6}}=>{{1,2},{3,4},{5,6,7}}=>2
[4,1,3,7,6,2,5]=>[6,3,1,7,5,4,2]=>{{1,6},{2,3},{4,7},{5}}=>{{1,5},{2,7},{3,4},{6}}=>5
[4,1,3,7,6,5,2]=>[7,3,1,6,5,4,2]=>{{1,7},{2,3},{4,6},{5}}=>{{1,2},{3,4},{5,7},{6}}=>2
[4,1,5,2,3,6,7]=>[4,5,1,3,6,7,2]=>{{1,4},{2,5,6,7},{3}}=>{{1,3,6,7},{2,5},{4}}=>7
[4,1,5,2,3,7,6]=>[4,5,1,3,7,6,2]=>{{1,4},{2,5,7},{3},{6}}=>{{1,3,6},{2,5},{4},{7}}=>6
[4,1,5,2,6,3,7]=>[4,6,1,3,5,7,2]=>{{1,4},{2,6,7},{3},{5}}=>{{1,3,7},{2,5},{4},{6}}=>7
[4,1,5,2,6,7,3]=>[4,7,1,3,5,6,2]=>{{1,4},{2,7},{3},{5},{6}}=>{{1,3},{2,5},{4},{6},{7}}=>3
[4,1,5,2,7,3,6]=>[4,6,1,3,7,5,2]=>{{1,4},{2,6},{3},{5,7}}=>{{1,6},{2,5},{3,7},{4}}=>6
[4,1,5,2,7,6,3]=>[4,7,1,3,6,5,2]=>{{1,4},{2,7},{3},{5,6}}=>{{1,3},{2,5},{4},{6,7}}=>3
[4,1,5,3,2,6,7]=>[5,4,1,3,6,7,2]=>{{1,5,6,7},{2,4},{3}}=>{{1,2,6,7},{3,5},{4}}=>7
[4,1,5,3,2,7,6]=>[5,4,1,3,7,6,2]=>{{1,5,7},{2,4},{3},{6}}=>{{1,2,6},{3,5},{4},{7}}=>6
[4,1,5,3,6,2,7]=>[6,4,1,3,5,7,2]=>{{1,6,7},{2,4},{3},{5}}=>{{1,2,7},{3,5},{4},{6}}=>7
[4,1,5,3,6,7,2]=>[7,4,1,3,5,6,2]=>{{1,7},{2,4},{3},{5},{6}}=>{{1,2},{3,5},{4},{6},{7}}=>2
[4,1,5,3,7,2,6]=>[6,4,1,3,7,5,2]=>{{1,6},{2,4},{3},{5,7}}=>{{1,6},{2,7},{3,5},{4}}=>6
[4,1,5,3,7,6,2]=>[7,4,1,3,6,5,2]=>{{1,7},{2,4},{3},{5,6}}=>{{1,2},{3,5},{4},{6,7}}=>2
[4,1,5,6,2,3,7]=>[5,6,1,3,4,7,2]=>{{1,5},{2,6,7},{3},{4}}=>{{1,3,7},{2,6},{4},{5}}=>7
[4,1,5,6,2,7,3]=>[5,7,1,3,4,6,2]=>{{1,5},{2,7},{3},{4},{6}}=>{{1,3},{2,6},{4},{5},{7}}=>3
[4,1,5,6,3,2,7]=>[6,5,1,3,4,7,2]=>{{1,6,7},{2,5},{3},{4}}=>{{1,2,7},{3,6},{4},{5}}=>7
[4,1,5,6,3,7,2]=>[7,5,1,3,4,6,2]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,2},{3,6},{4},{5},{7}}=>2
[4,1,5,6,7,2,3]=>[6,7,1,3,4,5,2]=>{{1,6},{2,7},{3},{4},{5}}=>{{1,3},{2,7},{4},{5},{6}}=>3
[4,1,5,6,7,3,2]=>[7,6,1,3,4,5,2]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,2},{3,7},{4},{5},{6}}=>2
[4,1,5,7,2,3,6]=>[5,6,1,3,7,4,2]=>{{1,5,7},{2,6},{3},{4}}=>{{1,2,6},{3,7},{4},{5}}=>6
[4,1,5,7,2,6,3]=>[5,7,1,3,6,4,2]=>{{1,5,6},{2,7},{3},{4}}=>{{1,3},{2,6,7},{4},{5}}=>3
[4,1,5,7,3,2,6]=>[6,5,1,3,7,4,2]=>{{1,6},{2,5,7},{3},{4}}=>{{1,3,6},{2,7},{4},{5}}=>6
[4,1,5,7,3,6,2]=>[7,5,1,3,6,4,2]=>{{1,7},{2,5,6},{3},{4}}=>{{1,2},{3,6,7},{4},{5}}=>2
[4,1,5,7,6,2,3]=>[6,7,1,3,5,4,2]=>{{1,6},{2,7},{3},{4},{5}}=>{{1,3},{2,7},{4},{5},{6}}=>3
[4,1,5,7,6,3,2]=>[7,6,1,3,5,4,2]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,2},{3,7},{4},{5},{6}}=>2
[4,1,6,2,3,5,7]=>[4,5,1,6,3,7,2]=>{{1,4,6,7},{2,5},{3}}=>{{1,2,5,7},{3,6},{4}}=>7
[4,1,6,2,3,7,5]=>[4,5,1,7,3,6,2]=>{{1,4,7},{2,5},{3},{6}}=>{{1,2,5},{3,6},{4},{7}}=>5
[4,1,6,2,5,3,7]=>[4,6,1,5,3,7,2]=>{{1,4,5},{2,6,7},{3}}=>{{1,3,7},{2,5,6},{4}}=>7
[4,1,6,2,5,7,3]=>[4,7,1,5,3,6,2]=>{{1,4,5},{2,7},{3},{6}}=>{{1,3},{2,5,6},{4},{7}}=>3
[4,1,6,2,7,3,5]=>[4,6,1,7,3,5,2]=>{{1,4,7},{2,6},{3},{5}}=>{{1,2,5},{3,7},{4},{6}}=>5
[4,1,6,2,7,5,3]=>[4,7,1,6,3,5,2]=>{{1,4,6},{2,7},{3},{5}}=>{{1,3},{2,5,7},{4},{6}}=>3
[4,1,6,3,2,5,7]=>[5,4,1,6,3,7,2]=>{{1,5},{2,4,6,7},{3}}=>{{1,3,5,7},{2,6},{4}}=>7
[4,1,6,3,2,7,5]=>[5,4,1,7,3,6,2]=>{{1,5},{2,4,7},{3},{6}}=>{{1,3,5},{2,6},{4},{7}}=>5
[4,1,6,3,5,2,7]=>[6,4,1,5,3,7,2]=>{{1,6,7},{2,4,5},{3}}=>{{1,2,7},{3,5,6},{4}}=>7
[4,1,6,3,5,7,2]=>[7,4,1,5,3,6,2]=>{{1,7},{2,4,5},{3},{6}}=>{{1,2},{3,5,6},{4},{7}}=>2
[4,1,6,3,7,2,5]=>[6,4,1,7,3,5,2]=>{{1,6},{2,4,7},{3},{5}}=>{{1,3,5},{2,7},{4},{6}}=>5
[4,1,6,3,7,5,2]=>[7,4,1,6,3,5,2]=>{{1,7},{2,4,6},{3},{5}}=>{{1,2},{3,5,7},{4},{6}}=>2
[4,1,6,5,2,3,7]=>[5,6,1,4,3,7,2]=>{{1,5},{2,6,7},{3},{4}}=>{{1,3,7},{2,6},{4},{5}}=>7
[4,1,6,5,2,7,3]=>[5,7,1,4,3,6,2]=>{{1,5},{2,7},{3},{4},{6}}=>{{1,3},{2,6},{4},{5},{7}}=>3
[4,1,6,5,3,2,7]=>[6,5,1,4,3,7,2]=>{{1,6,7},{2,5},{3},{4}}=>{{1,2,7},{3,6},{4},{5}}=>7
[4,1,6,5,3,7,2]=>[7,5,1,4,3,6,2]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,2},{3,6},{4},{5},{7}}=>2
[4,1,6,5,7,2,3]=>[6,7,1,4,3,5,2]=>{{1,6},{2,7},{3},{4},{5}}=>{{1,3},{2,7},{4},{5},{6}}=>3
[4,1,6,5,7,3,2]=>[7,6,1,4,3,5,2]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,2},{3,7},{4},{5},{6}}=>2
[4,1,6,7,2,3,5]=>[5,6,1,7,3,4,2]=>{{1,5},{2,6},{3},{4,7}}=>{{1,5},{2,6},{3,7},{4}}=>5
[4,1,6,7,2,5,3]=>[5,7,1,6,3,4,2]=>{{1,5},{2,7},{3},{4,6}}=>{{1,3},{2,6},{4},{5,7}}=>3
[4,1,6,7,3,2,5]=>[6,5,1,7,3,4,2]=>{{1,6},{2,5},{3},{4,7}}=>{{1,5},{2,7},{3,6},{4}}=>5
[4,1,6,7,3,5,2]=>[7,5,1,6,3,4,2]=>{{1,7},{2,5},{3},{4,6}}=>{{1,2},{3,6},{4},{5,7}}=>2
[4,1,6,7,5,2,3]=>[6,7,1,5,3,4,2]=>{{1,6},{2,7},{3},{4,5}}=>{{1,3},{2,7},{4},{5,6}}=>3
[4,1,6,7,5,3,2]=>[7,6,1,5,3,4,2]=>{{1,7},{2,6},{3},{4,5}}=>{{1,2},{3,7},{4},{5,6}}=>2
[4,1,7,2,3,5,6]=>[4,5,1,6,7,3,2]=>{{1,4,6},{2,5,7},{3}}=>{{1,3,6},{2,5,7},{4}}=>6
[4,1,7,2,3,6,5]=>[4,5,1,7,6,3,2]=>{{1,4,7},{2,5,6},{3}}=>{{1,2,5},{3,6,7},{4}}=>5
[4,1,7,2,5,3,6]=>[4,6,1,5,7,3,2]=>{{1,4,5,7},{2,6},{3}}=>{{1,2,5,6},{3,7},{4}}=>6
[4,1,7,2,5,6,3]=>[4,7,1,5,6,3,2]=>{{1,4,5,6},{2,7},{3}}=>{{1,3},{2,5,6,7},{4}}=>3
[4,1,7,2,6,3,5]=>[4,6,1,7,5,3,2]=>{{1,4,7},{2,6},{3},{5}}=>{{1,2,5},{3,7},{4},{6}}=>5
[4,1,7,2,6,5,3]=>[4,7,1,6,5,3,2]=>{{1,4,6},{2,7},{3},{5}}=>{{1,3},{2,5,7},{4},{6}}=>3
[4,1,7,3,2,5,6]=>[5,4,1,6,7,3,2]=>{{1,5,7},{2,4,6},{3}}=>{{1,2,6},{3,5,7},{4}}=>6
[4,1,7,3,2,6,5]=>[5,4,1,7,6,3,2]=>{{1,5,6},{2,4,7},{3}}=>{{1,3,5},{2,6,7},{4}}=>5
[4,1,7,3,5,2,6]=>[6,4,1,5,7,3,2]=>{{1,6},{2,4,5,7},{3}}=>{{1,3,5,6},{2,7},{4}}=>6
[4,1,7,3,5,6,2]=>[7,4,1,5,6,3,2]=>{{1,7},{2,4,5,6},{3}}=>{{1,2},{3,5,6,7},{4}}=>2
[4,1,7,3,6,2,5]=>[6,4,1,7,5,3,2]=>{{1,6},{2,4,7},{3},{5}}=>{{1,3,5},{2,7},{4},{6}}=>5
[4,1,7,3,6,5,2]=>[7,4,1,6,5,3,2]=>{{1,7},{2,4,6},{3},{5}}=>{{1,2},{3,5,7},{4},{6}}=>2
[4,1,7,5,2,3,6]=>[5,6,1,4,7,3,2]=>{{1,5,7},{2,6},{3},{4}}=>{{1,2,6},{3,7},{4},{5}}=>6
[4,1,7,5,2,6,3]=>[5,7,1,4,6,3,2]=>{{1,5,6},{2,7},{3},{4}}=>{{1,3},{2,6,7},{4},{5}}=>3
[4,1,7,5,3,2,6]=>[6,5,1,4,7,3,2]=>{{1,6},{2,5,7},{3},{4}}=>{{1,3,6},{2,7},{4},{5}}=>6
[4,1,7,5,3,6,2]=>[7,5,1,4,6,3,2]=>{{1,7},{2,5,6},{3},{4}}=>{{1,2},{3,6,7},{4},{5}}=>2
[4,1,7,5,6,2,3]=>[6,7,1,4,5,3,2]=>{{1,6},{2,7},{3},{4},{5}}=>{{1,3},{2,7},{4},{5},{6}}=>3
[4,1,7,5,6,3,2]=>[7,6,1,4,5,3,2]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,2},{3,7},{4},{5},{6}}=>2
[4,1,7,6,2,3,5]=>[5,6,1,7,4,3,2]=>{{1,5},{2,6},{3},{4,7}}=>{{1,5},{2,6},{3,7},{4}}=>5
[4,1,7,6,2,5,3]=>[5,7,1,6,4,3,2]=>{{1,5},{2,7},{3},{4,6}}=>{{1,3},{2,6},{4},{5,7}}=>3
[4,1,7,6,3,2,5]=>[6,5,1,7,4,3,2]=>{{1,6},{2,5},{3},{4,7}}=>{{1,5},{2,7},{3,6},{4}}=>5
[4,1,7,6,3,5,2]=>[7,5,1,6,4,3,2]=>{{1,7},{2,5},{3},{4,6}}=>{{1,2},{3,6},{4},{5,7}}=>2
[4,1,7,6,5,2,3]=>[6,7,1,5,4,3,2]=>{{1,6},{2,7},{3},{4,5}}=>{{1,3},{2,7},{4},{5,6}}=>3
[4,1,7,6,5,3,2]=>[7,6,1,5,4,3,2]=>{{1,7},{2,6},{3},{4,5}}=>{{1,2},{3,7},{4},{5,6}}=>2
[4,2,1,3,5,6,7]=>[2,4,1,5,6,7,3]=>{{1,2,4,5,6,7},{3}}=>{{1,2,3,5,6,7},{4}}=>7
[4,2,1,3,5,7,6]=>[2,4,1,5,7,6,3]=>{{1,2,4,5,7},{3},{6}}=>{{1,2,3,5,6},{4},{7}}=>6
[4,2,1,3,6,5,7]=>[2,4,1,6,5,7,3]=>{{1,2,4,6,7},{3},{5}}=>{{1,2,3,5,7},{4},{6}}=>7
[4,2,1,3,6,7,5]=>[2,4,1,7,5,6,3]=>{{1,2,4,7},{3},{5},{6}}=>{{1,2,3,5},{4},{6},{7}}=>5
[4,2,1,3,7,5,6]=>[2,4,1,6,7,5,3]=>{{1,2,4,6},{3},{5,7}}=>{{1,6},{2,3,5,7},{4}}=>6
[4,2,1,3,7,6,5]=>[2,4,1,7,6,5,3]=>{{1,2,4,7},{3},{5,6}}=>{{1,2,3,5},{4},{6,7}}=>5
[4,2,1,5,3,6,7]=>[2,5,1,4,6,7,3]=>{{1,2,5,6,7},{3},{4}}=>{{1,2,3,6,7},{4},{5}}=>7
[4,2,1,5,3,7,6]=>[2,5,1,4,7,6,3]=>{{1,2,5,7},{3},{4},{6}}=>{{1,2,3,6},{4},{5},{7}}=>6
[4,2,1,5,6,3,7]=>[2,6,1,4,5,7,3]=>{{1,2,6,7},{3},{4},{5}}=>{{1,2,3,7},{4},{5},{6}}=>7
[4,2,1,5,6,7,3]=>[2,7,1,4,5,6,3]=>{{1,2,7},{3},{4},{5},{6}}=>{{1,2,3},{4},{5},{6},{7}}=>3
[4,2,1,5,7,3,6]=>[2,6,1,4,7,5,3]=>{{1,2,6},{3},{4},{5,7}}=>{{1,6},{2,3,7},{4},{5}}=>6
[4,2,1,5,7,6,3]=>[2,7,1,4,6,5,3]=>{{1,2,7},{3},{4},{5,6}}=>{{1,2,3},{4},{5},{6,7}}=>3
[4,2,1,6,3,5,7]=>[2,5,1,6,4,7,3]=>{{1,2,5},{3},{4,6,7}}=>{{1,5,7},{2,3,6},{4}}=>7
[4,2,1,6,3,7,5]=>[2,5,1,7,4,6,3]=>{{1,2,5},{3},{4,7},{6}}=>{{1,5},{2,3,6},{4},{7}}=>5
[4,2,1,6,5,3,7]=>[2,6,1,5,4,7,3]=>{{1,2,6,7},{3},{4,5}}=>{{1,2,3,7},{4},{5,6}}=>7
[4,2,1,6,5,7,3]=>[2,7,1,5,4,6,3]=>{{1,2,7},{3},{4,5},{6}}=>{{1,2,3},{4},{5,6},{7}}=>3
[4,2,1,6,7,3,5]=>[2,6,1,7,4,5,3]=>{{1,2,6},{3},{4,7},{5}}=>{{1,5},{2,3,7},{4},{6}}=>5
[4,2,1,6,7,5,3]=>[2,7,1,6,4,5,3]=>{{1,2,7},{3},{4,6},{5}}=>{{1,2,3},{4},{5,7},{6}}=>3
[4,2,1,7,3,5,6]=>[2,5,1,6,7,4,3]=>{{1,2,5,7},{3},{4,6}}=>{{1,2,3,6},{4},{5,7}}=>6
[4,2,1,7,3,6,5]=>[2,5,1,7,6,4,3]=>{{1,2,5,6},{3},{4,7}}=>{{1,5},{2,3,6,7},{4}}=>5
[4,2,1,7,5,3,6]=>[2,6,1,5,7,4,3]=>{{1,2,6},{3},{4,5,7}}=>{{1,5,6},{2,3,7},{4}}=>6
[4,2,1,7,5,6,3]=>[2,7,1,5,6,4,3]=>{{1,2,7},{3},{4,5,6}}=>{{1,2,3},{4},{5,6,7}}=>3
[4,2,1,7,6,3,5]=>[2,6,1,7,5,4,3]=>{{1,2,6},{3},{4,7},{5}}=>{{1,5},{2,3,7},{4},{6}}=>5
[4,2,1,7,6,5,3]=>[2,7,1,6,5,4,3]=>{{1,2,7},{3},{4,6},{5}}=>{{1,2,3},{4},{5,7},{6}}=>3
[4,2,3,1,5,6,7]=>[2,3,1,5,6,7,4]=>{{1,2,3},{4,5,6,7}}=>{{1,5,6,7},{2,3,4}}=>7
[4,2,3,1,5,7,6]=>[2,3,1,5,7,6,4]=>{{1,2,3},{4,5,7},{6}}=>{{1,5,6},{2,3,4},{7}}=>6
[4,2,3,1,6,5,7]=>[2,3,1,6,5,7,4]=>{{1,2,3},{4,6,7},{5}}=>{{1,5,7},{2,3,4},{6}}=>7
[4,2,3,1,6,7,5]=>[2,3,1,7,5,6,4]=>{{1,2,3},{4,7},{5},{6}}=>{{1,5},{2,3,4},{6},{7}}=>5
[4,2,3,1,7,5,6]=>[2,3,1,6,7,5,4]=>{{1,2,3},{4,6},{5,7}}=>{{1,6},{2,3,4},{5,7}}=>6
[4,2,3,1,7,6,5]=>[2,3,1,7,6,5,4]=>{{1,2,3},{4,7},{5,6}}=>{{1,5},{2,3,4},{6,7}}=>5
[4,2,3,5,1,6,7]=>[2,3,1,4,6,7,5]=>{{1,2,3},{4},{5,6,7}}=>{{1,6,7},{2,3,4},{5}}=>7
[4,2,3,5,1,7,6]=>[2,3,1,4,7,6,5]=>{{1,2,3},{4},{5,7},{6}}=>{{1,6},{2,3,4},{5},{7}}=>6
[4,2,3,5,6,1,7]=>[2,3,1,4,5,7,6]=>{{1,2,3},{4},{5},{6,7}}=>{{1,7},{2,3,4},{5},{6}}=>7
[4,2,3,5,6,7,1]=>[2,3,1,4,5,6,7]=>{{1,2,3},{4},{5},{6},{7}}=>{{1},{2,3,4},{5},{6},{7}}=>1
[4,2,3,5,7,1,6]=>[2,3,1,4,7,5,6]=>{{1,2,3},{4},{5,7},{6}}=>{{1,6},{2,3,4},{5},{7}}=>6
[4,2,3,5,7,6,1]=>[2,3,1,4,6,5,7]=>{{1,2,3},{4},{5,6},{7}}=>{{1},{2,3,4},{5},{6,7}}=>1
[4,2,3,6,1,5,7]=>[2,3,1,6,4,7,5]=>{{1,2,3},{4,6,7},{5}}=>{{1,5,7},{2,3,4},{6}}=>7
[4,2,3,6,1,7,5]=>[2,3,1,7,4,6,5]=>{{1,2,3},{4,7},{5},{6}}=>{{1,5},{2,3,4},{6},{7}}=>5
[4,2,3,6,5,1,7]=>[2,3,1,5,4,7,6]=>{{1,2,3},{4,5},{6,7}}=>{{1,7},{2,3,4},{5,6}}=>7
[4,2,3,6,5,7,1]=>[2,3,1,5,4,6,7]=>{{1,2,3},{4,5},{6},{7}}=>{{1},{2,3,4},{5,6},{7}}=>1
[4,2,3,6,7,1,5]=>[2,3,1,7,4,5,6]=>{{1,2,3},{4,7},{5},{6}}=>{{1,5},{2,3,4},{6},{7}}=>5
[4,2,3,6,7,5,1]=>[2,3,1,6,4,5,7]=>{{1,2,3},{4,6},{5},{7}}=>{{1},{2,3,4},{5,7},{6}}=>1
[4,2,3,7,1,5,6]=>[2,3,1,6,7,4,5]=>{{1,2,3},{4,6},{5,7}}=>{{1,6},{2,3,4},{5,7}}=>6
[4,2,3,7,1,6,5]=>[2,3,1,7,6,4,5]=>{{1,2,3},{4,7},{5,6}}=>{{1,5},{2,3,4},{6,7}}=>5
[4,2,3,7,5,1,6]=>[2,3,1,5,7,4,6]=>{{1,2,3},{4,5,7},{6}}=>{{1,5,6},{2,3,4},{7}}=>6
[4,2,3,7,5,6,1]=>[2,3,1,5,6,4,7]=>{{1,2,3},{4,5,6},{7}}=>{{1},{2,3,4},{5,6,7}}=>1
[4,2,3,7,6,1,5]=>[2,3,1,7,5,4,6]=>{{1,2,3},{4,7},{5},{6}}=>{{1,5},{2,3,4},{6},{7}}=>5
[4,2,3,7,6,5,1]=>[2,3,1,6,5,4,7]=>{{1,2,3},{4,6},{5},{7}}=>{{1},{2,3,4},{5,7},{6}}=>1
[4,2,5,1,3,6,7]=>[2,5,1,3,6,7,4]=>{{1,2,5,6,7},{3},{4}}=>{{1,2,3,6,7},{4},{5}}=>7
[4,2,5,1,3,7,6]=>[2,5,1,3,7,6,4]=>{{1,2,5,7},{3},{4},{6}}=>{{1,2,3,6},{4},{5},{7}}=>6
[4,2,5,1,6,3,7]=>[2,6,1,3,5,7,4]=>{{1,2,6,7},{3},{4},{5}}=>{{1,2,3,7},{4},{5},{6}}=>7
[4,2,5,1,6,7,3]=>[2,7,1,3,5,6,4]=>{{1,2,7},{3},{4},{5},{6}}=>{{1,2,3},{4},{5},{6},{7}}=>3
[4,2,5,1,7,3,6]=>[2,6,1,3,7,5,4]=>{{1,2,6},{3},{4},{5,7}}=>{{1,6},{2,3,7},{4},{5}}=>6
[4,2,5,1,7,6,3]=>[2,7,1,3,6,5,4]=>{{1,2,7},{3},{4},{5,6}}=>{{1,2,3},{4},{5},{6,7}}=>3
[4,2,5,3,1,6,7]=>[2,4,1,3,6,7,5]=>{{1,2,4},{3},{5,6,7}}=>{{1,6,7},{2,3,5},{4}}=>7
[4,2,5,3,1,7,6]=>[2,4,1,3,7,6,5]=>{{1,2,4},{3},{5,7},{6}}=>{{1,6},{2,3,5},{4},{7}}=>6
[4,2,5,3,6,1,7]=>[2,4,1,3,5,7,6]=>{{1,2,4},{3},{5},{6,7}}=>{{1,7},{2,3,5},{4},{6}}=>7
[4,2,5,3,6,7,1]=>[2,4,1,3,5,6,7]=>{{1,2,4},{3},{5},{6},{7}}=>{{1},{2,3,5},{4},{6},{7}}=>1
[4,2,5,3,7,1,6]=>[2,4,1,3,7,5,6]=>{{1,2,4},{3},{5,7},{6}}=>{{1,6},{2,3,5},{4},{7}}=>6
[4,2,5,3,7,6,1]=>[2,4,1,3,6,5,7]=>{{1,2,4},{3},{5,6},{7}}=>{{1},{2,3,5},{4},{6,7}}=>1
[4,2,5,6,1,3,7]=>[2,6,1,3,4,7,5]=>{{1,2,6,7},{3},{4},{5}}=>{{1,2,3,7},{4},{5},{6}}=>7
[4,2,5,6,1,7,3]=>[2,7,1,3,4,6,5]=>{{1,2,7},{3},{4},{5},{6}}=>{{1,2,3},{4},{5},{6},{7}}=>3
[4,2,5,6,3,1,7]=>[2,5,1,3,4,7,6]=>{{1,2,5},{3},{4},{6,7}}=>{{1,7},{2,3,6},{4},{5}}=>7
[4,2,5,6,3,7,1]=>[2,5,1,3,4,6,7]=>{{1,2,5},{3},{4},{6},{7}}=>{{1},{2,3,6},{4},{5},{7}}=>1
[4,2,5,6,7,1,3]=>[2,7,1,3,4,5,6]=>{{1,2,7},{3},{4},{5},{6}}=>{{1,2,3},{4},{5},{6},{7}}=>3
[4,2,5,6,7,3,1]=>[2,6,1,3,4,5,7]=>{{1,2,6},{3},{4},{5},{7}}=>{{1},{2,3,7},{4},{5},{6}}=>1
[4,2,5,7,1,3,6]=>[2,6,1,3,7,4,5]=>{{1,2,6},{3},{4},{5,7}}=>{{1,6},{2,3,7},{4},{5}}=>6
[4,2,5,7,1,6,3]=>[2,7,1,3,6,4,5]=>{{1,2,7},{3},{4},{5,6}}=>{{1,2,3},{4},{5},{6,7}}=>3
[4,2,5,7,3,1,6]=>[2,5,1,3,7,4,6]=>{{1,2,5,7},{3},{4},{6}}=>{{1,2,3,6},{4},{5},{7}}=>6
[4,2,5,7,3,6,1]=>[2,5,1,3,6,4,7]=>{{1,2,5,6},{3},{4},{7}}=>{{1},{2,3,6,7},{4},{5}}=>1
[4,2,5,7,6,1,3]=>[2,7,1,3,5,4,6]=>{{1,2,7},{3},{4},{5},{6}}=>{{1,2,3},{4},{5},{6},{7}}=>3
[4,2,5,7,6,3,1]=>[2,6,1,3,5,4,7]=>{{1,2,6},{3},{4},{5},{7}}=>{{1},{2,3,7},{4},{5},{6}}=>1
[4,2,6,1,3,5,7]=>[2,5,1,6,3,7,4]=>{{1,2,5},{3},{4,6,7}}=>{{1,5,7},{2,3,6},{4}}=>7
[4,2,6,1,3,7,5]=>[2,5,1,7,3,6,4]=>{{1,2,5},{3},{4,7},{6}}=>{{1,5},{2,3,6},{4},{7}}=>5
[4,2,6,1,5,3,7]=>[2,6,1,5,3,7,4]=>{{1,2,6,7},{3},{4,5}}=>{{1,2,3,7},{4},{5,6}}=>7
[4,2,6,1,5,7,3]=>[2,7,1,5,3,6,4]=>{{1,2,7},{3},{4,5},{6}}=>{{1,2,3},{4},{5,6},{7}}=>3
[4,2,6,1,7,3,5]=>[2,6,1,7,3,5,4]=>{{1,2,6},{3},{4,7},{5}}=>{{1,5},{2,3,7},{4},{6}}=>5
[4,2,6,1,7,5,3]=>[2,7,1,6,3,5,4]=>{{1,2,7},{3},{4,6},{5}}=>{{1,2,3},{4},{5,7},{6}}=>3
[4,2,6,3,1,5,7]=>[2,4,1,6,3,7,5]=>{{1,2,4,6,7},{3},{5}}=>{{1,2,3,5,7},{4},{6}}=>7
[4,2,6,3,1,7,5]=>[2,4,1,7,3,6,5]=>{{1,2,4,7},{3},{5},{6}}=>{{1,2,3,5},{4},{6},{7}}=>5
[4,2,6,3,5,1,7]=>[2,4,1,5,3,7,6]=>{{1,2,4,5},{3},{6,7}}=>{{1,7},{2,3,5,6},{4}}=>7
[4,2,6,3,5,7,1]=>[2,4,1,5,3,6,7]=>{{1,2,4,5},{3},{6},{7}}=>{{1},{2,3,5,6},{4},{7}}=>1
[4,2,6,3,7,1,5]=>[2,4,1,7,3,5,6]=>{{1,2,4,7},{3},{5},{6}}=>{{1,2,3,5},{4},{6},{7}}=>5
[4,2,6,3,7,5,1]=>[2,4,1,6,3,5,7]=>{{1,2,4,6},{3},{5},{7}}=>{{1},{2,3,5,7},{4},{6}}=>1
[4,2,6,5,1,3,7]=>[2,6,1,4,3,7,5]=>{{1,2,6,7},{3},{4},{5}}=>{{1,2,3,7},{4},{5},{6}}=>7
[4,2,6,5,1,7,3]=>[2,7,1,4,3,6,5]=>{{1,2,7},{3},{4},{5},{6}}=>{{1,2,3},{4},{5},{6},{7}}=>3
[4,2,6,5,3,1,7]=>[2,5,1,4,3,7,6]=>{{1,2,5},{3},{4},{6,7}}=>{{1,7},{2,3,6},{4},{5}}=>7
[4,2,6,5,3,7,1]=>[2,5,1,4,3,6,7]=>{{1,2,5},{3},{4},{6},{7}}=>{{1},{2,3,6},{4},{5},{7}}=>1
[4,2,6,5,7,1,3]=>[2,7,1,4,3,5,6]=>{{1,2,7},{3},{4},{5},{6}}=>{{1,2,3},{4},{5},{6},{7}}=>3
[4,2,6,5,7,3,1]=>[2,6,1,4,3,5,7]=>{{1,2,6},{3},{4},{5},{7}}=>{{1},{2,3,7},{4},{5},{6}}=>1
[4,2,6,7,1,3,5]=>[2,6,1,7,3,4,5]=>{{1,2,6},{3},{4,7},{5}}=>{{1,5},{2,3,7},{4},{6}}=>5
[4,2,6,7,1,5,3]=>[2,7,1,6,3,4,5]=>{{1,2,7},{3},{4,6},{5}}=>{{1,2,3},{4},{5,7},{6}}=>3
[4,2,6,7,3,1,5]=>[2,5,1,7,3,4,6]=>{{1,2,5},{3},{4,7},{6}}=>{{1,5},{2,3,6},{4},{7}}=>5
[4,2,6,7,3,5,1]=>[2,5,1,6,3,4,7]=>{{1,2,5},{3},{4,6},{7}}=>{{1},{2,3,6},{4},{5,7}}=>1
[4,2,6,7,5,1,3]=>[2,7,1,5,3,4,6]=>{{1,2,7},{3},{4,5},{6}}=>{{1,2,3},{4},{5,6},{7}}=>3
[4,2,6,7,5,3,1]=>[2,6,1,5,3,4,7]=>{{1,2,6},{3},{4,5},{7}}=>{{1},{2,3,7},{4},{5,6}}=>1
[4,2,7,1,3,5,6]=>[2,5,1,6,7,3,4]=>{{1,2,5,7},{3},{4,6}}=>{{1,2,3,6},{4},{5,7}}=>6
[4,2,7,1,3,6,5]=>[2,5,1,7,6,3,4]=>{{1,2,5,6},{3},{4,7}}=>{{1,5},{2,3,6,7},{4}}=>5
[4,2,7,1,5,3,6]=>[2,6,1,5,7,3,4]=>{{1,2,6},{3},{4,5,7}}=>{{1,5,6},{2,3,7},{4}}=>6
[4,2,7,1,5,6,3]=>[2,7,1,5,6,3,4]=>{{1,2,7},{3},{4,5,6}}=>{{1,2,3},{4},{5,6,7}}=>3
[4,2,7,1,6,3,5]=>[2,6,1,7,5,3,4]=>{{1,2,6},{3},{4,7},{5}}=>{{1,5},{2,3,7},{4},{6}}=>5
[4,2,7,1,6,5,3]=>[2,7,1,6,5,3,4]=>{{1,2,7},{3},{4,6},{5}}=>{{1,2,3},{4},{5,7},{6}}=>3
[4,2,7,3,1,5,6]=>[2,4,1,6,7,3,5]=>{{1,2,4,6},{3},{5,7}}=>{{1,6},{2,3,5,7},{4}}=>6
[4,2,7,3,1,6,5]=>[2,4,1,7,6,3,5]=>{{1,2,4,7},{3},{5,6}}=>{{1,2,3,5},{4},{6,7}}=>5
[4,2,7,3,5,1,6]=>[2,4,1,5,7,3,6]=>{{1,2,4,5,7},{3},{6}}=>{{1,2,3,5,6},{4},{7}}=>6
[4,2,7,3,5,6,1]=>[2,4,1,5,6,3,7]=>{{1,2,4,5,6},{3},{7}}=>{{1},{2,3,5,6,7},{4}}=>1
[4,2,7,3,6,1,5]=>[2,4,1,7,5,3,6]=>{{1,2,4,7},{3},{5},{6}}=>{{1,2,3,5},{4},{6},{7}}=>5
[4,2,7,3,6,5,1]=>[2,4,1,6,5,3,7]=>{{1,2,4,6},{3},{5},{7}}=>{{1},{2,3,5,7},{4},{6}}=>1
[4,2,7,5,1,3,6]=>[2,6,1,4,7,3,5]=>{{1,2,6},{3},{4},{5,7}}=>{{1,6},{2,3,7},{4},{5}}=>6
[4,2,7,5,1,6,3]=>[2,7,1,4,6,3,5]=>{{1,2,7},{3},{4},{5,6}}=>{{1,2,3},{4},{5},{6,7}}=>3
[4,2,7,5,3,1,6]=>[2,5,1,4,7,3,6]=>{{1,2,5,7},{3},{4},{6}}=>{{1,2,3,6},{4},{5},{7}}=>6
[4,2,7,5,3,6,1]=>[2,5,1,4,6,3,7]=>{{1,2,5,6},{3},{4},{7}}=>{{1},{2,3,6,7},{4},{5}}=>1
[4,2,7,5,6,1,3]=>[2,7,1,4,5,3,6]=>{{1,2,7},{3},{4},{5},{6}}=>{{1,2,3},{4},{5},{6},{7}}=>3
[4,2,7,5,6,3,1]=>[2,6,1,4,5,3,7]=>{{1,2,6},{3},{4},{5},{7}}=>{{1},{2,3,7},{4},{5},{6}}=>1
[4,2,7,6,1,3,5]=>[2,6,1,7,4,3,5]=>{{1,2,6},{3},{4,7},{5}}=>{{1,5},{2,3,7},{4},{6}}=>5
[4,2,7,6,1,5,3]=>[2,7,1,6,4,3,5]=>{{1,2,7},{3},{4,6},{5}}=>{{1,2,3},{4},{5,7},{6}}=>3
[4,2,7,6,3,1,5]=>[2,5,1,7,4,3,6]=>{{1,2,5},{3},{4,7},{6}}=>{{1,5},{2,3,6},{4},{7}}=>5
[4,2,7,6,3,5,1]=>[2,5,1,6,4,3,7]=>{{1,2,5},{3},{4,6},{7}}=>{{1},{2,3,6},{4},{5,7}}=>1
[4,2,7,6,5,1,3]=>[2,7,1,5,4,3,6]=>{{1,2,7},{3},{4,5},{6}}=>{{1,2,3},{4},{5,6},{7}}=>3
[4,2,7,6,5,3,1]=>[2,6,1,5,4,3,7]=>{{1,2,6},{3},{4,5},{7}}=>{{1},{2,3,7},{4},{5,6}}=>1
[4,3,1,2,5,6,7]=>[4,2,1,5,6,7,3]=>{{1,4,5,6,7},{2},{3}}=>{{1,2,5,6,7},{3},{4}}=>7
[4,3,1,2,5,7,6]=>[4,2,1,5,7,6,3]=>{{1,4,5,7},{2},{3},{6}}=>{{1,2,5,6},{3},{4},{7}}=>6
[4,3,1,2,6,5,7]=>[4,2,1,6,5,7,3]=>{{1,4,6,7},{2},{3},{5}}=>{{1,2,5,7},{3},{4},{6}}=>7
[4,3,1,2,6,7,5]=>[4,2,1,7,5,6,3]=>{{1,4,7},{2},{3},{5},{6}}=>{{1,2,5},{3},{4},{6},{7}}=>5
[4,3,1,2,7,5,6]=>[4,2,1,6,7,5,3]=>{{1,4,6},{2},{3},{5,7}}=>{{1,6},{2,5,7},{3},{4}}=>6
[4,3,1,2,7,6,5]=>[4,2,1,7,6,5,3]=>{{1,4,7},{2},{3},{5,6}}=>{{1,2,5},{3},{4},{6,7}}=>5
[4,3,1,5,2,6,7]=>[5,2,1,4,6,7,3]=>{{1,5,6,7},{2},{3},{4}}=>{{1,2,6,7},{3},{4},{5}}=>7
[4,3,1,5,2,7,6]=>[5,2,1,4,7,6,3]=>{{1,5,7},{2},{3},{4},{6}}=>{{1,2,6},{3},{4},{5},{7}}=>6
[4,3,1,5,6,2,7]=>[6,2,1,4,5,7,3]=>{{1,6,7},{2},{3},{4},{5}}=>{{1,2,7},{3},{4},{5},{6}}=>7
[4,3,1,5,6,7,2]=>[7,2,1,4,5,6,3]=>{{1,7},{2},{3},{4},{5},{6}}=>{{1,2},{3},{4},{5},{6},{7}}=>2
[4,3,1,5,7,2,6]=>[6,2,1,4,7,5,3]=>{{1,6},{2},{3},{4},{5,7}}=>{{1,6},{2,7},{3},{4},{5}}=>6
[4,3,1,5,7,6,2]=>[7,2,1,4,6,5,3]=>{{1,7},{2},{3},{4},{5,6}}=>{{1,2},{3},{4},{5},{6,7}}=>2
[4,3,1,6,2,5,7]=>[5,2,1,6,4,7,3]=>{{1,5},{2},{3},{4,6,7}}=>{{1,5,7},{2,6},{3},{4}}=>7
[4,3,1,6,2,7,5]=>[5,2,1,7,4,6,3]=>{{1,5},{2},{3},{4,7},{6}}=>{{1,5},{2,6},{3},{4},{7}}=>5
[4,3,1,6,5,2,7]=>[6,2,1,5,4,7,3]=>{{1,6,7},{2},{3},{4,5}}=>{{1,2,7},{3},{4},{5,6}}=>7
[4,3,1,6,5,7,2]=>[7,2,1,5,4,6,3]=>{{1,7},{2},{3},{4,5},{6}}=>{{1,2},{3},{4},{5,6},{7}}=>2
[4,3,1,6,7,2,5]=>[6,2,1,7,4,5,3]=>{{1,6},{2},{3},{4,7},{5}}=>{{1,5},{2,7},{3},{4},{6}}=>5
[4,3,1,6,7,5,2]=>[7,2,1,6,4,5,3]=>{{1,7},{2},{3},{4,6},{5}}=>{{1,2},{3},{4},{5,7},{6}}=>2
[4,3,1,7,2,5,6]=>[5,2,1,6,7,4,3]=>{{1,5,7},{2},{3},{4,6}}=>{{1,2,6},{3},{4},{5,7}}=>6
[4,3,1,7,2,6,5]=>[5,2,1,7,6,4,3]=>{{1,5,6},{2},{3},{4,7}}=>{{1,5},{2,6,7},{3},{4}}=>5
[4,3,1,7,5,2,6]=>[6,2,1,5,7,4,3]=>{{1,6},{2},{3},{4,5,7}}=>{{1,5,6},{2,7},{3},{4}}=>6
[4,3,1,7,5,6,2]=>[7,2,1,5,6,4,3]=>{{1,7},{2},{3},{4,5,6}}=>{{1,2},{3},{4},{5,6,7}}=>2
[4,3,1,7,6,2,5]=>[6,2,1,7,5,4,3]=>{{1,6},{2},{3},{4,7},{5}}=>{{1,5},{2,7},{3},{4},{6}}=>5
[4,3,1,7,6,5,2]=>[7,2,1,6,5,4,3]=>{{1,7},{2},{3},{4,6},{5}}=>{{1,2},{3},{4},{5,7},{6}}=>2
[4,3,2,1,5,6,7]=>[3,2,1,5,6,7,4]=>{{1,3},{2},{4,5,6,7}}=>{{1,5,6,7},{2,4},{3}}=>7
[4,3,2,1,5,7,6]=>[3,2,1,5,7,6,4]=>{{1,3},{2},{4,5,7},{6}}=>{{1,5,6},{2,4},{3},{7}}=>6
[4,3,2,1,6,5,7]=>[3,2,1,6,5,7,4]=>{{1,3},{2},{4,6,7},{5}}=>{{1,5,7},{2,4},{3},{6}}=>7
[4,3,2,1,6,7,5]=>[3,2,1,7,5,6,4]=>{{1,3},{2},{4,7},{5},{6}}=>{{1,5},{2,4},{3},{6},{7}}=>5
[4,3,2,1,7,5,6]=>[3,2,1,6,7,5,4]=>{{1,3},{2},{4,6},{5,7}}=>{{1,6},{2,4},{3},{5,7}}=>6
[4,3,2,1,7,6,5]=>[3,2,1,7,6,5,4]=>{{1,3},{2},{4,7},{5,6}}=>{{1,5},{2,4},{3},{6,7}}=>5
[4,3,2,5,1,6,7]=>[3,2,1,4,6,7,5]=>{{1,3},{2},{4},{5,6,7}}=>{{1,6,7},{2,4},{3},{5}}=>7
[4,3,2,5,1,7,6]=>[3,2,1,4,7,6,5]=>{{1,3},{2},{4},{5,7},{6}}=>{{1,6},{2,4},{3},{5},{7}}=>6
[4,3,2,5,6,1,7]=>[3,2,1,4,5,7,6]=>{{1,3},{2},{4},{5},{6,7}}=>{{1,7},{2,4},{3},{5},{6}}=>7
[4,3,2,5,6,7,1]=>[3,2,1,4,5,6,7]=>{{1,3},{2},{4},{5},{6},{7}}=>{{1},{2,4},{3},{5},{6},{7}}=>1
[4,3,2,5,7,1,6]=>[3,2,1,4,7,5,6]=>{{1,3},{2},{4},{5,7},{6}}=>{{1,6},{2,4},{3},{5},{7}}=>6
[4,3,2,5,7,6,1]=>[3,2,1,4,6,5,7]=>{{1,3},{2},{4},{5,6},{7}}=>{{1},{2,4},{3},{5},{6,7}}=>1
[4,3,2,6,1,5,7]=>[3,2,1,6,4,7,5]=>{{1,3},{2},{4,6,7},{5}}=>{{1,5,7},{2,4},{3},{6}}=>7
[4,3,2,6,1,7,5]=>[3,2,1,7,4,6,5]=>{{1,3},{2},{4,7},{5},{6}}=>{{1,5},{2,4},{3},{6},{7}}=>5
[4,3,2,6,5,1,7]=>[3,2,1,5,4,7,6]=>{{1,3},{2},{4,5},{6,7}}=>{{1,7},{2,4},{3},{5,6}}=>7
[4,3,2,6,5,7,1]=>[3,2,1,5,4,6,7]=>{{1,3},{2},{4,5},{6},{7}}=>{{1},{2,4},{3},{5,6},{7}}=>1
[4,3,2,6,7,1,5]=>[3,2,1,7,4,5,6]=>{{1,3},{2},{4,7},{5},{6}}=>{{1,5},{2,4},{3},{6},{7}}=>5
[4,3,2,6,7,5,1]=>[3,2,1,6,4,5,7]=>{{1,3},{2},{4,6},{5},{7}}=>{{1},{2,4},{3},{5,7},{6}}=>1
[4,3,2,7,1,5,6]=>[3,2,1,6,7,4,5]=>{{1,3},{2},{4,6},{5,7}}=>{{1,6},{2,4},{3},{5,7}}=>6
[4,3,2,7,1,6,5]=>[3,2,1,7,6,4,5]=>{{1,3},{2},{4,7},{5,6}}=>{{1,5},{2,4},{3},{6,7}}=>5
[4,3,2,7,5,1,6]=>[3,2,1,5,7,4,6]=>{{1,3},{2},{4,5,7},{6}}=>{{1,5,6},{2,4},{3},{7}}=>6
[4,3,2,7,5,6,1]=>[3,2,1,5,6,4,7]=>{{1,3},{2},{4,5,6},{7}}=>{{1},{2,4},{3},{5,6,7}}=>1
[4,3,2,7,6,1,5]=>[3,2,1,7,5,4,6]=>{{1,3},{2},{4,7},{5},{6}}=>{{1,5},{2,4},{3},{6},{7}}=>5
[4,3,2,7,6,5,1]=>[3,2,1,6,5,4,7]=>{{1,3},{2},{4,6},{5},{7}}=>{{1},{2,4},{3},{5,7},{6}}=>1
[4,3,5,1,2,6,7]=>[5,2,1,3,6,7,4]=>{{1,5,6,7},{2},{3},{4}}=>{{1,2,6,7},{3},{4},{5}}=>7
[4,3,5,1,2,7,6]=>[5,2,1,3,7,6,4]=>{{1,5,7},{2},{3},{4},{6}}=>{{1,2,6},{3},{4},{5},{7}}=>6
[4,3,5,1,6,2,7]=>[6,2,1,3,5,7,4]=>{{1,6,7},{2},{3},{4},{5}}=>{{1,2,7},{3},{4},{5},{6}}=>7
[4,3,5,1,6,7,2]=>[7,2,1,3,5,6,4]=>{{1,7},{2},{3},{4},{5},{6}}=>{{1,2},{3},{4},{5},{6},{7}}=>2
[4,3,5,1,7,2,6]=>[6,2,1,3,7,5,4]=>{{1,6},{2},{3},{4},{5,7}}=>{{1,6},{2,7},{3},{4},{5}}=>6
[4,3,5,1,7,6,2]=>[7,2,1,3,6,5,4]=>{{1,7},{2},{3},{4},{5,6}}=>{{1,2},{3},{4},{5},{6,7}}=>2
[4,3,5,2,1,6,7]=>[4,2,1,3,6,7,5]=>{{1,4},{2},{3},{5,6,7}}=>{{1,6,7},{2,5},{3},{4}}=>7
[4,3,5,2,1,7,6]=>[4,2,1,3,7,6,5]=>{{1,4},{2},{3},{5,7},{6}}=>{{1,6},{2,5},{3},{4},{7}}=>6
[4,3,5,2,6,1,7]=>[4,2,1,3,5,7,6]=>{{1,4},{2},{3},{5},{6,7}}=>{{1,7},{2,5},{3},{4},{6}}=>7
[4,3,5,2,6,7,1]=>[4,2,1,3,5,6,7]=>{{1,4},{2},{3},{5},{6},{7}}=>{{1},{2,5},{3},{4},{6},{7}}=>1
[4,3,5,2,7,1,6]=>[4,2,1,3,7,5,6]=>{{1,4},{2},{3},{5,7},{6}}=>{{1,6},{2,5},{3},{4},{7}}=>6
[4,3,5,2,7,6,1]=>[4,2,1,3,6,5,7]=>{{1,4},{2},{3},{5,6},{7}}=>{{1},{2,5},{3},{4},{6,7}}=>1
[4,3,5,6,1,2,7]=>[6,2,1,3,4,7,5]=>{{1,6,7},{2},{3},{4},{5}}=>{{1,2,7},{3},{4},{5},{6}}=>7
[4,3,5,6,1,7,2]=>[7,2,1,3,4,6,5]=>{{1,7},{2},{3},{4},{5},{6}}=>{{1,2},{3},{4},{5},{6},{7}}=>2
[4,3,5,6,2,1,7]=>[5,2,1,3,4,7,6]=>{{1,5},{2},{3},{4},{6,7}}=>{{1,7},{2,6},{3},{4},{5}}=>7
[4,3,5,6,2,7,1]=>[5,2,1,3,4,6,7]=>{{1,5},{2},{3},{4},{6},{7}}=>{{1},{2,6},{3},{4},{5},{7}}=>1
[4,3,5,6,7,1,2]=>[7,2,1,3,4,5,6]=>{{1,7},{2},{3},{4},{5},{6}}=>{{1,2},{3},{4},{5},{6},{7}}=>2
[4,3,5,6,7,2,1]=>[6,2,1,3,4,5,7]=>{{1,6},{2},{3},{4},{5},{7}}=>{{1},{2,7},{3},{4},{5},{6}}=>1
[4,3,5,7,1,2,6]=>[6,2,1,3,7,4,5]=>{{1,6},{2},{3},{4},{5,7}}=>{{1,6},{2,7},{3},{4},{5}}=>6
[4,3,5,7,1,6,2]=>[7,2,1,3,6,4,5]=>{{1,7},{2},{3},{4},{5,6}}=>{{1,2},{3},{4},{5},{6,7}}=>2
[4,3,5,7,2,1,6]=>[5,2,1,3,7,4,6]=>{{1,5,7},{2},{3},{4},{6}}=>{{1,2,6},{3},{4},{5},{7}}=>6
[4,3,5,7,2,6,1]=>[5,2,1,3,6,4,7]=>{{1,5,6},{2},{3},{4},{7}}=>{{1},{2,6,7},{3},{4},{5}}=>1
[4,3,5,7,6,1,2]=>[7,2,1,3,5,4,6]=>{{1,7},{2},{3},{4},{5},{6}}=>{{1,2},{3},{4},{5},{6},{7}}=>2
[4,3,5,7,6,2,1]=>[6,2,1,3,5,4,7]=>{{1,6},{2},{3},{4},{5},{7}}=>{{1},{2,7},{3},{4},{5},{6}}=>1
[4,3,6,1,2,5,7]=>[5,2,1,6,3,7,4]=>{{1,5},{2},{3},{4,6,7}}=>{{1,5,7},{2,6},{3},{4}}=>7
[4,3,6,1,2,7,5]=>[5,2,1,7,3,6,4]=>{{1,5},{2},{3},{4,7},{6}}=>{{1,5},{2,6},{3},{4},{7}}=>5
[4,3,6,1,5,2,7]=>[6,2,1,5,3,7,4]=>{{1,6,7},{2},{3},{4,5}}=>{{1,2,7},{3},{4},{5,6}}=>7
[4,3,6,1,5,7,2]=>[7,2,1,5,3,6,4]=>{{1,7},{2},{3},{4,5},{6}}=>{{1,2},{3},{4},{5,6},{7}}=>2
[4,3,6,1,7,2,5]=>[6,2,1,7,3,5,4]=>{{1,6},{2},{3},{4,7},{5}}=>{{1,5},{2,7},{3},{4},{6}}=>5
[4,3,6,1,7,5,2]=>[7,2,1,6,3,5,4]=>{{1,7},{2},{3},{4,6},{5}}=>{{1,2},{3},{4},{5,7},{6}}=>2
[4,3,6,2,1,5,7]=>[4,2,1,6,3,7,5]=>{{1,4,6,7},{2},{3},{5}}=>{{1,2,5,7},{3},{4},{6}}=>7
[4,3,6,2,1,7,5]=>[4,2,1,7,3,6,5]=>{{1,4,7},{2},{3},{5},{6}}=>{{1,2,5},{3},{4},{6},{7}}=>5
[4,3,6,2,5,1,7]=>[4,2,1,5,3,7,6]=>{{1,4,5},{2},{3},{6,7}}=>{{1,7},{2,5,6},{3},{4}}=>7
[4,3,6,2,5,7,1]=>[4,2,1,5,3,6,7]=>{{1,4,5},{2},{3},{6},{7}}=>{{1},{2,5,6},{3},{4},{7}}=>1
[4,3,6,2,7,1,5]=>[4,2,1,7,3,5,6]=>{{1,4,7},{2},{3},{5},{6}}=>{{1,2,5},{3},{4},{6},{7}}=>5
[4,3,6,2,7,5,1]=>[4,2,1,6,3,5,7]=>{{1,4,6},{2},{3},{5},{7}}=>{{1},{2,5,7},{3},{4},{6}}=>1
[4,3,6,5,1,2,7]=>[6,2,1,4,3,7,5]=>{{1,6,7},{2},{3},{4},{5}}=>{{1,2,7},{3},{4},{5},{6}}=>7
[4,3,6,5,1,7,2]=>[7,2,1,4,3,6,5]=>{{1,7},{2},{3},{4},{5},{6}}=>{{1,2},{3},{4},{5},{6},{7}}=>2
[4,3,6,5,2,1,7]=>[5,2,1,4,3,7,6]=>{{1,5},{2},{3},{4},{6,7}}=>{{1,7},{2,6},{3},{4},{5}}=>7
[4,3,6,5,2,7,1]=>[5,2,1,4,3,6,7]=>{{1,5},{2},{3},{4},{6},{7}}=>{{1},{2,6},{3},{4},{5},{7}}=>1
[4,3,6,5,7,1,2]=>[7,2,1,4,3,5,6]=>{{1,7},{2},{3},{4},{5},{6}}=>{{1,2},{3},{4},{5},{6},{7}}=>2
[4,3,6,5,7,2,1]=>[6,2,1,4,3,5,7]=>{{1,6},{2},{3},{4},{5},{7}}=>{{1},{2,7},{3},{4},{5},{6}}=>1
[4,3,6,7,1,2,5]=>[6,2,1,7,3,4,5]=>{{1,6},{2},{3},{4,7},{5}}=>{{1,5},{2,7},{3},{4},{6}}=>5
[4,3,6,7,1,5,2]=>[7,2,1,6,3,4,5]=>{{1,7},{2},{3},{4,6},{5}}=>{{1,2},{3},{4},{5,7},{6}}=>2
[4,3,6,7,2,1,5]=>[5,2,1,7,3,4,6]=>{{1,5},{2},{3},{4,7},{6}}=>{{1,5},{2,6},{3},{4},{7}}=>5
[4,3,6,7,2,5,1]=>[5,2,1,6,3,4,7]=>{{1,5},{2},{3},{4,6},{7}}=>{{1},{2,6},{3},{4},{5,7}}=>1
[4,3,6,7,5,1,2]=>[7,2,1,5,3,4,6]=>{{1,7},{2},{3},{4,5},{6}}=>{{1,2},{3},{4},{5,6},{7}}=>2
[4,3,6,7,5,2,1]=>[6,2,1,5,3,4,7]=>{{1,6},{2},{3},{4,5},{7}}=>{{1},{2,7},{3},{4},{5,6}}=>1
[4,3,7,1,2,5,6]=>[5,2,1,6,7,3,4]=>{{1,5,7},{2},{3},{4,6}}=>{{1,2,6},{3},{4},{5,7}}=>6
[4,3,7,1,2,6,5]=>[5,2,1,7,6,3,4]=>{{1,5,6},{2},{3},{4,7}}=>{{1,5},{2,6,7},{3},{4}}=>5
[4,3,7,1,5,2,6]=>[6,2,1,5,7,3,4]=>{{1,6},{2},{3},{4,5,7}}=>{{1,5,6},{2,7},{3},{4}}=>6
[4,3,7,1,5,6,2]=>[7,2,1,5,6,3,4]=>{{1,7},{2},{3},{4,5,6}}=>{{1,2},{3},{4},{5,6,7}}=>2
[4,3,7,1,6,2,5]=>[6,2,1,7,5,3,4]=>{{1,6},{2},{3},{4,7},{5}}=>{{1,5},{2,7},{3},{4},{6}}=>5
[4,3,7,1,6,5,2]=>[7,2,1,6,5,3,4]=>{{1,7},{2},{3},{4,6},{5}}=>{{1,2},{3},{4},{5,7},{6}}=>2
[4,3,7,2,1,5,6]=>[4,2,1,6,7,3,5]=>{{1,4,6},{2},{3},{5,7}}=>{{1,6},{2,5,7},{3},{4}}=>6
[4,3,7,2,1,6,5]=>[4,2,1,7,6,3,5]=>{{1,4,7},{2},{3},{5,6}}=>{{1,2,5},{3},{4},{6,7}}=>5
[4,3,7,2,5,1,6]=>[4,2,1,5,7,3,6]=>{{1,4,5,7},{2},{3},{6}}=>{{1,2,5,6},{3},{4},{7}}=>6
[4,3,7,2,5,6,1]=>[4,2,1,5,6,3,7]=>{{1,4,5,6},{2},{3},{7}}=>{{1},{2,5,6,7},{3},{4}}=>1
[4,3,7,2,6,1,5]=>[4,2,1,7,5,3,6]=>{{1,4,7},{2},{3},{5},{6}}=>{{1,2,5},{3},{4},{6},{7}}=>5
[4,3,7,2,6,5,1]=>[4,2,1,6,5,3,7]=>{{1,4,6},{2},{3},{5},{7}}=>{{1},{2,5,7},{3},{4},{6}}=>1
[4,3,7,5,1,2,6]=>[6,2,1,4,7,3,5]=>{{1,6},{2},{3},{4},{5,7}}=>{{1,6},{2,7},{3},{4},{5}}=>6
[4,3,7,5,1,6,2]=>[7,2,1,4,6,3,5]=>{{1,7},{2},{3},{4},{5,6}}=>{{1,2},{3},{4},{5},{6,7}}=>2
[4,3,7,5,2,1,6]=>[5,2,1,4,7,3,6]=>{{1,5,7},{2},{3},{4},{6}}=>{{1,2,6},{3},{4},{5},{7}}=>6
[4,3,7,5,2,6,1]=>[5,2,1,4,6,3,7]=>{{1,5,6},{2},{3},{4},{7}}=>{{1},{2,6,7},{3},{4},{5}}=>1
[4,3,7,5,6,1,2]=>[7,2,1,4,5,3,6]=>{{1,7},{2},{3},{4},{5},{6}}=>{{1,2},{3},{4},{5},{6},{7}}=>2
[4,3,7,5,6,2,1]=>[6,2,1,4,5,3,7]=>{{1,6},{2},{3},{4},{5},{7}}=>{{1},{2,7},{3},{4},{5},{6}}=>1
[4,3,7,6,1,2,5]=>[6,2,1,7,4,3,5]=>{{1,6},{2},{3},{4,7},{5}}=>{{1,5},{2,7},{3},{4},{6}}=>5
[4,3,7,6,1,5,2]=>[7,2,1,6,4,3,5]=>{{1,7},{2},{3},{4,6},{5}}=>{{1,2},{3},{4},{5,7},{6}}=>2
[4,3,7,6,2,1,5]=>[5,2,1,7,4,3,6]=>{{1,5},{2},{3},{4,7},{6}}=>{{1,5},{2,6},{3},{4},{7}}=>5
[4,3,7,6,2,5,1]=>[5,2,1,6,4,3,7]=>{{1,5},{2},{3},{4,6},{7}}=>{{1},{2,6},{3},{4},{5,7}}=>1
[4,3,7,6,5,1,2]=>[7,2,1,5,4,3,6]=>{{1,7},{2},{3},{4,5},{6}}=>{{1,2},{3},{4},{5,6},{7}}=>2
[4,3,7,6,5,2,1]=>[6,2,1,5,4,3,7]=>{{1,6},{2},{3},{4,5},{7}}=>{{1},{2,7},{3},{4},{5,6}}=>1
[4,5,1,2,3,6,7]=>[4,5,1,2,6,7,3]=>{{1,4},{2,5,6,7},{3}}=>{{1,3,6,7},{2,5},{4}}=>7
[4,5,1,2,3,7,6]=>[4,5,1,2,7,6,3]=>{{1,4},{2,5,7},{3},{6}}=>{{1,3,6},{2,5},{4},{7}}=>6
[4,5,1,2,6,3,7]=>[4,6,1,2,5,7,3]=>{{1,4},{2,6,7},{3},{5}}=>{{1,3,7},{2,5},{4},{6}}=>7
[4,5,1,2,6,7,3]=>[4,7,1,2,5,6,3]=>{{1,4},{2,7},{3},{5},{6}}=>{{1,3},{2,5},{4},{6},{7}}=>3
[4,5,1,2,7,3,6]=>[4,6,1,2,7,5,3]=>{{1,4},{2,6},{3},{5,7}}=>{{1,6},{2,5},{3,7},{4}}=>6
[4,5,1,2,7,6,3]=>[4,7,1,2,6,5,3]=>{{1,4},{2,7},{3},{5,6}}=>{{1,3},{2,5},{4},{6,7}}=>3
[4,5,1,3,2,6,7]=>[5,4,1,2,6,7,3]=>{{1,5,6,7},{2,4},{3}}=>{{1,2,6,7},{3,5},{4}}=>7
[4,5,1,3,2,7,6]=>[5,4,1,2,7,6,3]=>{{1,5,7},{2,4},{3},{6}}=>{{1,2,6},{3,5},{4},{7}}=>6
[4,5,1,3,6,2,7]=>[6,4,1,2,5,7,3]=>{{1,6,7},{2,4},{3},{5}}=>{{1,2,7},{3,5},{4},{6}}=>7
[4,5,1,3,6,7,2]=>[7,4,1,2,5,6,3]=>{{1,7},{2,4},{3},{5},{6}}=>{{1,2},{3,5},{4},{6},{7}}=>2
[4,5,1,3,7,2,6]=>[6,4,1,2,7,5,3]=>{{1,6},{2,4},{3},{5,7}}=>{{1,6},{2,7},{3,5},{4}}=>6
[4,5,1,3,7,6,2]=>[7,4,1,2,6,5,3]=>{{1,7},{2,4},{3},{5,6}}=>{{1,2},{3,5},{4},{6,7}}=>2
[4,5,1,6,2,3,7]=>[5,6,1,2,4,7,3]=>{{1,5},{2,6,7},{3},{4}}=>{{1,3,7},{2,6},{4},{5}}=>7
[4,5,1,6,2,7,3]=>[5,7,1,2,4,6,3]=>{{1,5},{2,7},{3},{4},{6}}=>{{1,3},{2,6},{4},{5},{7}}=>3
[4,5,1,6,3,2,7]=>[6,5,1,2,4,7,3]=>{{1,6,7},{2,5},{3},{4}}=>{{1,2,7},{3,6},{4},{5}}=>7
[4,5,1,6,3,7,2]=>[7,5,1,2,4,6,3]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,2},{3,6},{4},{5},{7}}=>2
[4,5,1,6,7,2,3]=>[6,7,1,2,4,5,3]=>{{1,6},{2,7},{3},{4},{5}}=>{{1,3},{2,7},{4},{5},{6}}=>3
[4,5,1,6,7,3,2]=>[7,6,1,2,4,5,3]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,2},{3,7},{4},{5},{6}}=>2
[4,5,1,7,2,3,6]=>[5,6,1,2,7,4,3]=>{{1,5,7},{2,6},{3},{4}}=>{{1,2,6},{3,7},{4},{5}}=>6
[4,5,1,7,2,6,3]=>[5,7,1,2,6,4,3]=>{{1,5,6},{2,7},{3},{4}}=>{{1,3},{2,6,7},{4},{5}}=>3
[4,5,1,7,3,2,6]=>[6,5,1,2,7,4,3]=>{{1,6},{2,5,7},{3},{4}}=>{{1,3,6},{2,7},{4},{5}}=>6
[4,5,1,7,3,6,2]=>[7,5,1,2,6,4,3]=>{{1,7},{2,5,6},{3},{4}}=>{{1,2},{3,6,7},{4},{5}}=>2
[4,5,1,7,6,2,3]=>[6,7,1,2,5,4,3]=>{{1,6},{2,7},{3},{4},{5}}=>{{1,3},{2,7},{4},{5},{6}}=>3
[4,5,1,7,6,3,2]=>[7,6,1,2,5,4,3]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,2},{3,7},{4},{5},{6}}=>2
[4,5,2,1,3,6,7]=>[3,5,1,2,6,7,4]=>{{1,3},{2,5,6,7},{4}}=>{{1,3,6,7},{2,4},{5}}=>7
[4,5,2,1,3,7,6]=>[3,5,1,2,7,6,4]=>{{1,3},{2,5,7},{4},{6}}=>{{1,3,6},{2,4},{5},{7}}=>6
[4,5,2,1,6,3,7]=>[3,6,1,2,5,7,4]=>{{1,3},{2,6,7},{4},{5}}=>{{1,3,7},{2,4},{5},{6}}=>7
[4,5,2,1,6,7,3]=>[3,7,1,2,5,6,4]=>{{1,3},{2,7},{4},{5},{6}}=>{{1,3},{2,4},{5},{6},{7}}=>3
[4,5,2,1,7,3,6]=>[3,6,1,2,7,5,4]=>{{1,3},{2,6},{4},{5,7}}=>{{1,6},{2,4},{3,7},{5}}=>6
[4,5,2,1,7,6,3]=>[3,7,1,2,6,5,4]=>{{1,3},{2,7},{4},{5,6}}=>{{1,3},{2,4},{5},{6,7}}=>3
[4,5,2,3,1,6,7]=>[3,4,1,2,6,7,5]=>{{1,3},{2,4},{5,6,7}}=>{{1,6,7},{2,4},{3,5}}=>7
[4,5,2,3,1,7,6]=>[3,4,1,2,7,6,5]=>{{1,3},{2,4},{5,7},{6}}=>{{1,6},{2,4},{3,5},{7}}=>6
[4,5,2,3,6,1,7]=>[3,4,1,2,5,7,6]=>{{1,3},{2,4},{5},{6,7}}=>{{1,7},{2,4},{3,5},{6}}=>7
[4,5,2,3,6,7,1]=>[3,4,1,2,5,6,7]=>{{1,3},{2,4},{5},{6},{7}}=>{{1},{2,4},{3,5},{6},{7}}=>1
[4,5,2,3,7,1,6]=>[3,4,1,2,7,5,6]=>{{1,3},{2,4},{5,7},{6}}=>{{1,6},{2,4},{3,5},{7}}=>6
[4,5,2,3,7,6,1]=>[3,4,1,2,6,5,7]=>{{1,3},{2,4},{5,6},{7}}=>{{1},{2,4},{3,5},{6,7}}=>1
[4,5,2,6,1,3,7]=>[3,6,1,2,4,7,5]=>{{1,3},{2,6,7},{4},{5}}=>{{1,3,7},{2,4},{5},{6}}=>7
[4,5,2,6,1,7,3]=>[3,7,1,2,4,6,5]=>{{1,3},{2,7},{4},{5},{6}}=>{{1,3},{2,4},{5},{6},{7}}=>3
[4,5,2,6,3,1,7]=>[3,5,1,2,4,7,6]=>{{1,3},{2,5},{4},{6,7}}=>{{1,7},{2,4},{3,6},{5}}=>7
[4,5,2,6,3,7,1]=>[3,5,1,2,4,6,7]=>{{1,3},{2,5},{4},{6},{7}}=>{{1},{2,4},{3,6},{5},{7}}=>1
[4,5,2,6,7,1,3]=>[3,7,1,2,4,5,6]=>{{1,3},{2,7},{4},{5},{6}}=>{{1,3},{2,4},{5},{6},{7}}=>3
[4,5,2,6,7,3,1]=>[3,6,1,2,4,5,7]=>{{1,3},{2,6},{4},{5},{7}}=>{{1},{2,4},{3,7},{5},{6}}=>1
[4,5,2,7,1,3,6]=>[3,6,1,2,7,4,5]=>{{1,3},{2,6},{4},{5,7}}=>{{1,6},{2,4},{3,7},{5}}=>6
[4,5,2,7,1,6,3]=>[3,7,1,2,6,4,5]=>{{1,3},{2,7},{4},{5,6}}=>{{1,3},{2,4},{5},{6,7}}=>3
[4,5,2,7,3,1,6]=>[3,5,1,2,7,4,6]=>{{1,3},{2,5,7},{4},{6}}=>{{1,3,6},{2,4},{5},{7}}=>6
[4,5,2,7,3,6,1]=>[3,5,1,2,6,4,7]=>{{1,3},{2,5,6},{4},{7}}=>{{1},{2,4},{3,6,7},{5}}=>1
[4,5,2,7,6,1,3]=>[3,7,1,2,5,4,6]=>{{1,3},{2,7},{4},{5},{6}}=>{{1,3},{2,4},{5},{6},{7}}=>3
[4,5,2,7,6,3,1]=>[3,6,1,2,5,4,7]=>{{1,3},{2,6},{4},{5},{7}}=>{{1},{2,4},{3,7},{5},{6}}=>1
[4,5,3,1,2,6,7]=>[5,3,1,2,6,7,4]=>{{1,5,6,7},{2,3},{4}}=>{{1,2,6,7},{3,4},{5}}=>7
[4,5,3,1,2,7,6]=>[5,3,1,2,7,6,4]=>{{1,5,7},{2,3},{4},{6}}=>{{1,2,6},{3,4},{5},{7}}=>6
[4,5,3,1,6,2,7]=>[6,3,1,2,5,7,4]=>{{1,6,7},{2,3},{4},{5}}=>{{1,2,7},{3,4},{5},{6}}=>7
[4,5,3,1,6,7,2]=>[7,3,1,2,5,6,4]=>{{1,7},{2,3},{4},{5},{6}}=>{{1,2},{3,4},{5},{6},{7}}=>2
[4,5,3,1,7,2,6]=>[6,3,1,2,7,5,4]=>{{1,6},{2,3},{4},{5,7}}=>{{1,6},{2,7},{3,4},{5}}=>6
[4,5,3,1,7,6,2]=>[7,3,1,2,6,5,4]=>{{1,7},{2,3},{4},{5,6}}=>{{1,2},{3,4},{5},{6,7}}=>2
[4,5,3,2,1,6,7]=>[4,3,1,2,6,7,5]=>{{1,4},{2,3},{5,6,7}}=>{{1,6,7},{2,5},{3,4}}=>7
[4,5,3,2,1,7,6]=>[4,3,1,2,7,6,5]=>{{1,4},{2,3},{5,7},{6}}=>{{1,6},{2,5},{3,4},{7}}=>6
[4,5,3,2,6,1,7]=>[4,3,1,2,5,7,6]=>{{1,4},{2,3},{5},{6,7}}=>{{1,7},{2,5},{3,4},{6}}=>7
[4,5,3,2,6,7,1]=>[4,3,1,2,5,6,7]=>{{1,4},{2,3},{5},{6},{7}}=>{{1},{2,5},{3,4},{6},{7}}=>1
[4,5,3,2,7,1,6]=>[4,3,1,2,7,5,6]=>{{1,4},{2,3},{5,7},{6}}=>{{1,6},{2,5},{3,4},{7}}=>6
[4,5,3,2,7,6,1]=>[4,3,1,2,6,5,7]=>{{1,4},{2,3},{5,6},{7}}=>{{1},{2,5},{3,4},{6,7}}=>1
[4,5,3,6,1,2,7]=>[6,3,1,2,4,7,5]=>{{1,6,7},{2,3},{4},{5}}=>{{1,2,7},{3,4},{5},{6}}=>7
[4,5,3,6,1,7,2]=>[7,3,1,2,4,6,5]=>{{1,7},{2,3},{4},{5},{6}}=>{{1,2},{3,4},{5},{6},{7}}=>2
[4,5,3,6,2,1,7]=>[5,3,1,2,4,7,6]=>{{1,5},{2,3},{4},{6,7}}=>{{1,7},{2,6},{3,4},{5}}=>7
[4,5,3,6,2,7,1]=>[5,3,1,2,4,6,7]=>{{1,5},{2,3},{4},{6},{7}}=>{{1},{2,6},{3,4},{5},{7}}=>1
[4,5,3,6,7,1,2]=>[7,3,1,2,4,5,6]=>{{1,7},{2,3},{4},{5},{6}}=>{{1,2},{3,4},{5},{6},{7}}=>2
[4,5,3,6,7,2,1]=>[6,3,1,2,4,5,7]=>{{1,6},{2,3},{4},{5},{7}}=>{{1},{2,7},{3,4},{5},{6}}=>1
[4,5,3,7,1,2,6]=>[6,3,1,2,7,4,5]=>{{1,6},{2,3},{4},{5,7}}=>{{1,6},{2,7},{3,4},{5}}=>6
[4,5,3,7,1,6,2]=>[7,3,1,2,6,4,5]=>{{1,7},{2,3},{4},{5,6}}=>{{1,2},{3,4},{5},{6,7}}=>2
[4,5,3,7,2,1,6]=>[5,3,1,2,7,4,6]=>{{1,5,7},{2,3},{4},{6}}=>{{1,2,6},{3,4},{5},{7}}=>6
[4,5,3,7,2,6,1]=>[5,3,1,2,6,4,7]=>{{1,5,6},{2,3},{4},{7}}=>{{1},{2,6,7},{3,4},{5}}=>1
[4,5,3,7,6,1,2]=>[7,3,1,2,5,4,6]=>{{1,7},{2,3},{4},{5},{6}}=>{{1,2},{3,4},{5},{6},{7}}=>2
[4,5,3,7,6,2,1]=>[6,3,1,2,5,4,7]=>{{1,6},{2,3},{4},{5},{7}}=>{{1},{2,7},{3,4},{5},{6}}=>1
[4,5,6,1,2,3,7]=>[5,6,1,2,3,7,4]=>{{1,5},{2,6,7},{3},{4}}=>{{1,3,7},{2,6},{4},{5}}=>7
[4,5,6,1,2,7,3]=>[5,7,1,2,3,6,4]=>{{1,5},{2,7},{3},{4},{6}}=>{{1,3},{2,6},{4},{5},{7}}=>3
[4,5,6,1,3,2,7]=>[6,5,1,2,3,7,4]=>{{1,6,7},{2,5},{3},{4}}=>{{1,2,7},{3,6},{4},{5}}=>7
[4,5,6,1,3,7,2]=>[7,5,1,2,3,6,4]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,2},{3,6},{4},{5},{7}}=>2
[4,5,6,1,7,2,3]=>[6,7,1,2,3,5,4]=>{{1,6},{2,7},{3},{4},{5}}=>{{1,3},{2,7},{4},{5},{6}}=>3
[4,5,6,1,7,3,2]=>[7,6,1,2,3,5,4]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,2},{3,7},{4},{5},{6}}=>2
[4,5,6,2,1,3,7]=>[4,6,1,2,3,7,5]=>{{1,4},{2,6,7},{3},{5}}=>{{1,3,7},{2,5},{4},{6}}=>7
[4,5,6,2,1,7,3]=>[4,7,1,2,3,6,5]=>{{1,4},{2,7},{3},{5},{6}}=>{{1,3},{2,5},{4},{6},{7}}=>3
[4,5,6,2,3,1,7]=>[4,5,1,2,3,7,6]=>{{1,4},{2,5},{3},{6,7}}=>{{1,7},{2,5},{3,6},{4}}=>7
[4,5,6,2,3,7,1]=>[4,5,1,2,3,6,7]=>{{1,4},{2,5},{3},{6},{7}}=>{{1},{2,5},{3,6},{4},{7}}=>1
[4,5,6,2,7,1,3]=>[4,7,1,2,3,5,6]=>{{1,4},{2,7},{3},{5},{6}}=>{{1,3},{2,5},{4},{6},{7}}=>3
[4,5,6,2,7,3,1]=>[4,6,1,2,3,5,7]=>{{1,4},{2,6},{3},{5},{7}}=>{{1},{2,5},{3,7},{4},{6}}=>1
[4,5,6,3,1,2,7]=>[6,4,1,2,3,7,5]=>{{1,6,7},{2,4},{3},{5}}=>{{1,2,7},{3,5},{4},{6}}=>7
[4,5,6,3,1,7,2]=>[7,4,1,2,3,6,5]=>{{1,7},{2,4},{3},{5},{6}}=>{{1,2},{3,5},{4},{6},{7}}=>2
[4,5,6,3,2,1,7]=>[5,4,1,2,3,7,6]=>{{1,5},{2,4},{3},{6,7}}=>{{1,7},{2,6},{3,5},{4}}=>7
[4,5,6,3,2,7,1]=>[5,4,1,2,3,6,7]=>{{1,5},{2,4},{3},{6},{7}}=>{{1},{2,6},{3,5},{4},{7}}=>1
[4,5,6,3,7,1,2]=>[7,4,1,2,3,5,6]=>{{1,7},{2,4},{3},{5},{6}}=>{{1,2},{3,5},{4},{6},{7}}=>2
[4,5,6,3,7,2,1]=>[6,4,1,2,3,5,7]=>{{1,6},{2,4},{3},{5},{7}}=>{{1},{2,7},{3,5},{4},{6}}=>1
[4,5,6,7,1,2,3]=>[6,7,1,2,3,4,5]=>{{1,6},{2,7},{3},{4},{5}}=>{{1,3},{2,7},{4},{5},{6}}=>3
[4,5,6,7,1,3,2]=>[7,6,1,2,3,4,5]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,2},{3,7},{4},{5},{6}}=>2
[4,5,6,7,2,1,3]=>[5,7,1,2,3,4,6]=>{{1,5},{2,7},{3},{4},{6}}=>{{1,3},{2,6},{4},{5},{7}}=>3
[4,5,6,7,2,3,1]=>[5,6,1,2,3,4,7]=>{{1,5},{2,6},{3},{4},{7}}=>{{1},{2,6},{3,7},{4},{5}}=>1
[4,5,6,7,3,1,2]=>[7,5,1,2,3,4,6]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,2},{3,6},{4},{5},{7}}=>2
[4,5,6,7,3,2,1]=>[6,5,1,2,3,4,7]=>{{1,6},{2,5},{3},{4},{7}}=>{{1},{2,7},{3,6},{4},{5}}=>1
[4,5,7,1,2,3,6]=>[5,6,1,2,7,3,4]=>{{1,5,7},{2,6},{3},{4}}=>{{1,2,6},{3,7},{4},{5}}=>6
[4,5,7,1,2,6,3]=>[5,7,1,2,6,3,4]=>{{1,5,6},{2,7},{3},{4}}=>{{1,3},{2,6,7},{4},{5}}=>3
[4,5,7,1,3,2,6]=>[6,5,1,2,7,3,4]=>{{1,6},{2,5,7},{3},{4}}=>{{1,3,6},{2,7},{4},{5}}=>6
[4,5,7,1,3,6,2]=>[7,5,1,2,6,3,4]=>{{1,7},{2,5,6},{3},{4}}=>{{1,2},{3,6,7},{4},{5}}=>2
[4,5,7,1,6,2,3]=>[6,7,1,2,5,3,4]=>{{1,6},{2,7},{3},{4},{5}}=>{{1,3},{2,7},{4},{5},{6}}=>3
[4,5,7,1,6,3,2]=>[7,6,1,2,5,3,4]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,2},{3,7},{4},{5},{6}}=>2
[4,5,7,2,1,3,6]=>[4,6,1,2,7,3,5]=>{{1,4},{2,6},{3},{5,7}}=>{{1,6},{2,5},{3,7},{4}}=>6
[4,5,7,2,1,6,3]=>[4,7,1,2,6,3,5]=>{{1,4},{2,7},{3},{5,6}}=>{{1,3},{2,5},{4},{6,7}}=>3
[4,5,7,2,3,1,6]=>[4,5,1,2,7,3,6]=>{{1,4},{2,5,7},{3},{6}}=>{{1,3,6},{2,5},{4},{7}}=>6
[4,5,7,2,3,6,1]=>[4,5,1,2,6,3,7]=>{{1,4},{2,5,6},{3},{7}}=>{{1},{2,5},{3,6,7},{4}}=>1
[4,5,7,2,6,1,3]=>[4,7,1,2,5,3,6]=>{{1,4},{2,7},{3},{5},{6}}=>{{1,3},{2,5},{4},{6},{7}}=>3
[4,5,7,2,6,3,1]=>[4,6,1,2,5,3,7]=>{{1,4},{2,6},{3},{5},{7}}=>{{1},{2,5},{3,7},{4},{6}}=>1
[4,5,7,3,1,2,6]=>[6,4,1,2,7,3,5]=>{{1,6},{2,4},{3},{5,7}}=>{{1,6},{2,7},{3,5},{4}}=>6
[4,5,7,3,1,6,2]=>[7,4,1,2,6,3,5]=>{{1,7},{2,4},{3},{5,6}}=>{{1,2},{3,5},{4},{6,7}}=>2
[4,5,7,3,2,1,6]=>[5,4,1,2,7,3,6]=>{{1,5,7},{2,4},{3},{6}}=>{{1,2,6},{3,5},{4},{7}}=>6
[4,5,7,3,2,6,1]=>[5,4,1,2,6,3,7]=>{{1,5,6},{2,4},{3},{7}}=>{{1},{2,6,7},{3,5},{4}}=>1
[4,5,7,3,6,1,2]=>[7,4,1,2,5,3,6]=>{{1,7},{2,4},{3},{5},{6}}=>{{1,2},{3,5},{4},{6},{7}}=>2
[4,5,7,3,6,2,1]=>[6,4,1,2,5,3,7]=>{{1,6},{2,4},{3},{5},{7}}=>{{1},{2,7},{3,5},{4},{6}}=>1
[4,5,7,6,1,2,3]=>[6,7,1,2,4,3,5]=>{{1,6},{2,7},{3},{4},{5}}=>{{1,3},{2,7},{4},{5},{6}}=>3
[4,5,7,6,1,3,2]=>[7,6,1,2,4,3,5]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,2},{3,7},{4},{5},{6}}=>2
[4,5,7,6,2,1,3]=>[5,7,1,2,4,3,6]=>{{1,5},{2,7},{3},{4},{6}}=>{{1,3},{2,6},{4},{5},{7}}=>3
[4,5,7,6,2,3,1]=>[5,6,1,2,4,3,7]=>{{1,5},{2,6},{3},{4},{7}}=>{{1},{2,6},{3,7},{4},{5}}=>1
[4,5,7,6,3,1,2]=>[7,5,1,2,4,3,6]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,2},{3,6},{4},{5},{7}}=>2
[4,5,7,6,3,2,1]=>[6,5,1,2,4,3,7]=>{{1,6},{2,5},{3},{4},{7}}=>{{1},{2,7},{3,6},{4},{5}}=>1
[4,6,1,2,3,5,7]=>[4,5,1,6,2,7,3]=>{{1,4,6,7},{2,5},{3}}=>{{1,2,5,7},{3,6},{4}}=>7
[4,6,1,2,3,7,5]=>[4,5,1,7,2,6,3]=>{{1,4,7},{2,5},{3},{6}}=>{{1,2,5},{3,6},{4},{7}}=>5
[4,6,1,2,5,3,7]=>[4,6,1,5,2,7,3]=>{{1,4,5},{2,6,7},{3}}=>{{1,3,7},{2,5,6},{4}}=>7
[4,6,1,2,5,7,3]=>[4,7,1,5,2,6,3]=>{{1,4,5},{2,7},{3},{6}}=>{{1,3},{2,5,6},{4},{7}}=>3
[4,6,1,2,7,3,5]=>[4,6,1,7,2,5,3]=>{{1,4,7},{2,6},{3},{5}}=>{{1,2,5},{3,7},{4},{6}}=>5
[4,6,1,2,7,5,3]=>[4,7,1,6,2,5,3]=>{{1,4,6},{2,7},{3},{5}}=>{{1,3},{2,5,7},{4},{6}}=>3
[4,6,1,3,2,5,7]=>[5,4,1,6,2,7,3]=>{{1,5},{2,4,6,7},{3}}=>{{1,3,5,7},{2,6},{4}}=>7
[4,6,1,3,2,7,5]=>[5,4,1,7,2,6,3]=>{{1,5},{2,4,7},{3},{6}}=>{{1,3,5},{2,6},{4},{7}}=>5
[4,6,1,3,5,2,7]=>[6,4,1,5,2,7,3]=>{{1,6,7},{2,4,5},{3}}=>{{1,2,7},{3,5,6},{4}}=>7
[4,6,1,3,5,7,2]=>[7,4,1,5,2,6,3]=>{{1,7},{2,4,5},{3},{6}}=>{{1,2},{3,5,6},{4},{7}}=>2
[4,6,1,3,7,2,5]=>[6,4,1,7,2,5,3]=>{{1,6},{2,4,7},{3},{5}}=>{{1,3,5},{2,7},{4},{6}}=>5
[4,6,1,3,7,5,2]=>[7,4,1,6,2,5,3]=>{{1,7},{2,4,6},{3},{5}}=>{{1,2},{3,5,7},{4},{6}}=>2
[4,6,1,5,2,3,7]=>[5,6,1,4,2,7,3]=>{{1,5},{2,6,7},{3},{4}}=>{{1,3,7},{2,6},{4},{5}}=>7
[4,6,1,5,2,7,3]=>[5,7,1,4,2,6,3]=>{{1,5},{2,7},{3},{4},{6}}=>{{1,3},{2,6},{4},{5},{7}}=>3
[4,6,1,5,3,2,7]=>[6,5,1,4,2,7,3]=>{{1,6,7},{2,5},{3},{4}}=>{{1,2,7},{3,6},{4},{5}}=>7
[4,6,1,5,3,7,2]=>[7,5,1,4,2,6,3]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,2},{3,6},{4},{5},{7}}=>2
[4,6,1,5,7,2,3]=>[6,7,1,4,2,5,3]=>{{1,6},{2,7},{3},{4},{5}}=>{{1,3},{2,7},{4},{5},{6}}=>3
[4,6,1,5,7,3,2]=>[7,6,1,4,2,5,3]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,2},{3,7},{4},{5},{6}}=>2
[4,6,1,7,2,3,5]=>[5,6,1,7,2,4,3]=>{{1,5},{2,6},{3},{4,7}}=>{{1,5},{2,6},{3,7},{4}}=>5
[4,6,1,7,2,5,3]=>[5,7,1,6,2,4,3]=>{{1,5},{2,7},{3},{4,6}}=>{{1,3},{2,6},{4},{5,7}}=>3
[4,6,1,7,3,2,5]=>[6,5,1,7,2,4,3]=>{{1,6},{2,5},{3},{4,7}}=>{{1,5},{2,7},{3,6},{4}}=>5
[4,6,1,7,3,5,2]=>[7,5,1,6,2,4,3]=>{{1,7},{2,5},{3},{4,6}}=>{{1,2},{3,6},{4},{5,7}}=>2
[4,6,1,7,5,2,3]=>[6,7,1,5,2,4,3]=>{{1,6},{2,7},{3},{4,5}}=>{{1,3},{2,7},{4},{5,6}}=>3
[4,6,1,7,5,3,2]=>[7,6,1,5,2,4,3]=>{{1,7},{2,6},{3},{4,5}}=>{{1,2},{3,7},{4},{5,6}}=>2
[4,6,2,1,3,5,7]=>[3,5,1,6,2,7,4]=>{{1,3},{2,5},{4,6,7}}=>{{1,5,7},{2,4},{3,6}}=>7
[4,6,2,1,3,7,5]=>[3,5,1,7,2,6,4]=>{{1,3},{2,5},{4,7},{6}}=>{{1,5},{2,4},{3,6},{7}}=>5
[4,6,2,1,5,3,7]=>[3,6,1,5,2,7,4]=>{{1,3},{2,6,7},{4,5}}=>{{1,3,7},{2,4},{5,6}}=>7
[4,6,2,1,5,7,3]=>[3,7,1,5,2,6,4]=>{{1,3},{2,7},{4,5},{6}}=>{{1,3},{2,4},{5,6},{7}}=>3
[4,6,2,1,7,3,5]=>[3,6,1,7,2,5,4]=>{{1,3},{2,6},{4,7},{5}}=>{{1,5},{2,4},{3,7},{6}}=>5
[4,6,2,1,7,5,3]=>[3,7,1,6,2,5,4]=>{{1,3},{2,7},{4,6},{5}}=>{{1,3},{2,4},{5,7},{6}}=>3
[4,6,2,3,1,5,7]=>[3,4,1,6,2,7,5]=>{{1,3},{2,4,6,7},{5}}=>{{1,3,5,7},{2,4},{6}}=>7
[4,6,2,3,1,7,5]=>[3,4,1,7,2,6,5]=>{{1,3},{2,4,7},{5},{6}}=>{{1,3,5},{2,4},{6},{7}}=>5
[4,6,2,3,5,1,7]=>[3,4,1,5,2,7,6]=>{{1,3},{2,4,5},{6,7}}=>{{1,7},{2,4},{3,5,6}}=>7
[4,6,2,3,5,7,1]=>[3,4,1,5,2,6,7]=>{{1,3},{2,4,5},{6},{7}}=>{{1},{2,4},{3,5,6},{7}}=>1
[4,6,2,3,7,1,5]=>[3,4,1,7,2,5,6]=>{{1,3},{2,4,7},{5},{6}}=>{{1,3,5},{2,4},{6},{7}}=>5
[4,6,2,3,7,5,1]=>[3,4,1,6,2,5,7]=>{{1,3},{2,4,6},{5},{7}}=>{{1},{2,4},{3,5,7},{6}}=>1
[4,6,2,5,1,3,7]=>[3,6,1,4,2,7,5]=>{{1,3},{2,6,7},{4},{5}}=>{{1,3,7},{2,4},{5},{6}}=>7
[4,6,2,5,1,7,3]=>[3,7,1,4,2,6,5]=>{{1,3},{2,7},{4},{5},{6}}=>{{1,3},{2,4},{5},{6},{7}}=>3
[4,6,2,5,3,1,7]=>[3,5,1,4,2,7,6]=>{{1,3},{2,5},{4},{6,7}}=>{{1,7},{2,4},{3,6},{5}}=>7
[4,6,2,5,3,7,1]=>[3,5,1,4,2,6,7]=>{{1,3},{2,5},{4},{6},{7}}=>{{1},{2,4},{3,6},{5},{7}}=>1
[4,6,2,5,7,1,3]=>[3,7,1,4,2,5,6]=>{{1,3},{2,7},{4},{5},{6}}=>{{1,3},{2,4},{5},{6},{7}}=>3
[4,6,2,5,7,3,1]=>[3,6,1,4,2,5,7]=>{{1,3},{2,6},{4},{5},{7}}=>{{1},{2,4},{3,7},{5},{6}}=>1
[4,6,2,7,1,3,5]=>[3,6,1,7,2,4,5]=>{{1,3},{2,6},{4,7},{5}}=>{{1,5},{2,4},{3,7},{6}}=>5
[4,6,2,7,1,5,3]=>[3,7,1,6,2,4,5]=>{{1,3},{2,7},{4,6},{5}}=>{{1,3},{2,4},{5,7},{6}}=>3
[4,6,2,7,3,1,5]=>[3,5,1,7,2,4,6]=>{{1,3},{2,5},{4,7},{6}}=>{{1,5},{2,4},{3,6},{7}}=>5
[4,6,2,7,3,5,1]=>[3,5,1,6,2,4,7]=>{{1,3},{2,5},{4,6},{7}}=>{{1},{2,4},{3,6},{5,7}}=>1
[4,6,2,7,5,1,3]=>[3,7,1,5,2,4,6]=>{{1,3},{2,7},{4,5},{6}}=>{{1,3},{2,4},{5,6},{7}}=>3
[4,6,2,7,5,3,1]=>[3,6,1,5,2,4,7]=>{{1,3},{2,6},{4,5},{7}}=>{{1},{2,4},{3,7},{5,6}}=>1
[4,6,3,1,2,5,7]=>[5,3,1,6,2,7,4]=>{{1,5},{2,3},{4,6,7}}=>{{1,5,7},{2,6},{3,4}}=>7
[4,6,3,1,2,7,5]=>[5,3,1,7,2,6,4]=>{{1,5},{2,3},{4,7},{6}}=>{{1,5},{2,6},{3,4},{7}}=>5
[4,6,3,1,5,2,7]=>[6,3,1,5,2,7,4]=>{{1,6,7},{2,3},{4,5}}=>{{1,2,7},{3,4},{5,6}}=>7
[4,6,3,1,5,7,2]=>[7,3,1,5,2,6,4]=>{{1,7},{2,3},{4,5},{6}}=>{{1,2},{3,4},{5,6},{7}}=>2
[4,6,3,1,7,2,5]=>[6,3,1,7,2,5,4]=>{{1,6},{2,3},{4,7},{5}}=>{{1,5},{2,7},{3,4},{6}}=>5
[4,6,3,1,7,5,2]=>[7,3,1,6,2,5,4]=>{{1,7},{2,3},{4,6},{5}}=>{{1,2},{3,4},{5,7},{6}}=>2
[4,6,3,2,1,5,7]=>[4,3,1,6,2,7,5]=>{{1,4,6,7},{2,3},{5}}=>{{1,2,5,7},{3,4},{6}}=>7
[4,6,3,2,1,7,5]=>[4,3,1,7,2,6,5]=>{{1,4,7},{2,3},{5},{6}}=>{{1,2,5},{3,4},{6},{7}}=>5
[4,6,3,2,5,1,7]=>[4,3,1,5,2,7,6]=>{{1,4,5},{2,3},{6,7}}=>{{1,7},{2,5,6},{3,4}}=>7
[4,6,3,2,5,7,1]=>[4,3,1,5,2,6,7]=>{{1,4,5},{2,3},{6},{7}}=>{{1},{2,5,6},{3,4},{7}}=>1
[4,6,3,2,7,1,5]=>[4,3,1,7,2,5,6]=>{{1,4,7},{2,3},{5},{6}}=>{{1,2,5},{3,4},{6},{7}}=>5
[4,6,3,2,7,5,1]=>[4,3,1,6,2,5,7]=>{{1,4,6},{2,3},{5},{7}}=>{{1},{2,5,7},{3,4},{6}}=>1
[4,6,3,5,1,2,7]=>[6,3,1,4,2,7,5]=>{{1,6,7},{2,3},{4},{5}}=>{{1,2,7},{3,4},{5},{6}}=>7
[4,6,3,5,1,7,2]=>[7,3,1,4,2,6,5]=>{{1,7},{2,3},{4},{5},{6}}=>{{1,2},{3,4},{5},{6},{7}}=>2
[4,6,3,5,2,1,7]=>[5,3,1,4,2,7,6]=>{{1,5},{2,3},{4},{6,7}}=>{{1,7},{2,6},{3,4},{5}}=>7
[4,6,3,5,2,7,1]=>[5,3,1,4,2,6,7]=>{{1,5},{2,3},{4},{6},{7}}=>{{1},{2,6},{3,4},{5},{7}}=>1
[4,6,3,5,7,1,2]=>[7,3,1,4,2,5,6]=>{{1,7},{2,3},{4},{5},{6}}=>{{1,2},{3,4},{5},{6},{7}}=>2
[4,6,3,5,7,2,1]=>[6,3,1,4,2,5,7]=>{{1,6},{2,3},{4},{5},{7}}=>{{1},{2,7},{3,4},{5},{6}}=>1
[4,6,3,7,1,2,5]=>[6,3,1,7,2,4,5]=>{{1,6},{2,3},{4,7},{5}}=>{{1,5},{2,7},{3,4},{6}}=>5
[4,6,3,7,1,5,2]=>[7,3,1,6,2,4,5]=>{{1,7},{2,3},{4,6},{5}}=>{{1,2},{3,4},{5,7},{6}}=>2
[4,6,3,7,2,1,5]=>[5,3,1,7,2,4,6]=>{{1,5},{2,3},{4,7},{6}}=>{{1,5},{2,6},{3,4},{7}}=>5
[4,6,3,7,2,5,1]=>[5,3,1,6,2,4,7]=>{{1,5},{2,3},{4,6},{7}}=>{{1},{2,6},{3,4},{5,7}}=>1
[4,6,3,7,5,1,2]=>[7,3,1,5,2,4,6]=>{{1,7},{2,3},{4,5},{6}}=>{{1,2},{3,4},{5,6},{7}}=>2
[4,6,3,7,5,2,1]=>[6,3,1,5,2,4,7]=>{{1,6},{2,3},{4,5},{7}}=>{{1},{2,7},{3,4},{5,6}}=>1
[4,6,5,1,2,3,7]=>[5,6,1,3,2,7,4]=>{{1,5},{2,6,7},{3},{4}}=>{{1,3,7},{2,6},{4},{5}}=>7
[4,6,5,1,2,7,3]=>[5,7,1,3,2,6,4]=>{{1,5},{2,7},{3},{4},{6}}=>{{1,3},{2,6},{4},{5},{7}}=>3
[4,6,5,1,3,2,7]=>[6,5,1,3,2,7,4]=>{{1,6,7},{2,5},{3},{4}}=>{{1,2,7},{3,6},{4},{5}}=>7
[4,6,5,1,3,7,2]=>[7,5,1,3,2,6,4]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,2},{3,6},{4},{5},{7}}=>2
[4,6,5,1,7,2,3]=>[6,7,1,3,2,5,4]=>{{1,6},{2,7},{3},{4},{5}}=>{{1,3},{2,7},{4},{5},{6}}=>3
[4,6,5,1,7,3,2]=>[7,6,1,3,2,5,4]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,2},{3,7},{4},{5},{6}}=>2
[4,6,5,2,1,3,7]=>[4,6,1,3,2,7,5]=>{{1,4},{2,6,7},{3},{5}}=>{{1,3,7},{2,5},{4},{6}}=>7
[4,6,5,2,1,7,3]=>[4,7,1,3,2,6,5]=>{{1,4},{2,7},{3},{5},{6}}=>{{1,3},{2,5},{4},{6},{7}}=>3
[4,6,5,2,3,1,7]=>[4,5,1,3,2,7,6]=>{{1,4},{2,5},{3},{6,7}}=>{{1,7},{2,5},{3,6},{4}}=>7
[4,6,5,2,3,7,1]=>[4,5,1,3,2,6,7]=>{{1,4},{2,5},{3},{6},{7}}=>{{1},{2,5},{3,6},{4},{7}}=>1
[4,6,5,2,7,1,3]=>[4,7,1,3,2,5,6]=>{{1,4},{2,7},{3},{5},{6}}=>{{1,3},{2,5},{4},{6},{7}}=>3
[4,6,5,2,7,3,1]=>[4,6,1,3,2,5,7]=>{{1,4},{2,6},{3},{5},{7}}=>{{1},{2,5},{3,7},{4},{6}}=>1
[4,6,5,3,1,2,7]=>[6,4,1,3,2,7,5]=>{{1,6,7},{2,4},{3},{5}}=>{{1,2,7},{3,5},{4},{6}}=>7
[4,6,5,3,1,7,2]=>[7,4,1,3,2,6,5]=>{{1,7},{2,4},{3},{5},{6}}=>{{1,2},{3,5},{4},{6},{7}}=>2
[4,6,5,3,2,1,7]=>[5,4,1,3,2,7,6]=>{{1,5},{2,4},{3},{6,7}}=>{{1,7},{2,6},{3,5},{4}}=>7
[4,6,5,3,2,7,1]=>[5,4,1,3,2,6,7]=>{{1,5},{2,4},{3},{6},{7}}=>{{1},{2,6},{3,5},{4},{7}}=>1
[4,6,5,3,7,1,2]=>[7,4,1,3,2,5,6]=>{{1,7},{2,4},{3},{5},{6}}=>{{1,2},{3,5},{4},{6},{7}}=>2
[4,6,5,3,7,2,1]=>[6,4,1,3,2,5,7]=>{{1,6},{2,4},{3},{5},{7}}=>{{1},{2,7},{3,5},{4},{6}}=>1
[4,6,5,7,1,2,3]=>[6,7,1,3,2,4,5]=>{{1,6},{2,7},{3},{4},{5}}=>{{1,3},{2,7},{4},{5},{6}}=>3
[4,6,5,7,1,3,2]=>[7,6,1,3,2,4,5]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,2},{3,7},{4},{5},{6}}=>2
[4,6,5,7,2,1,3]=>[5,7,1,3,2,4,6]=>{{1,5},{2,7},{3},{4},{6}}=>{{1,3},{2,6},{4},{5},{7}}=>3
[4,6,5,7,2,3,1]=>[5,6,1,3,2,4,7]=>{{1,5},{2,6},{3},{4},{7}}=>{{1},{2,6},{3,7},{4},{5}}=>1
[4,6,5,7,3,1,2]=>[7,5,1,3,2,4,6]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,2},{3,6},{4},{5},{7}}=>2
[4,6,5,7,3,2,1]=>[6,5,1,3,2,4,7]=>{{1,6},{2,5},{3},{4},{7}}=>{{1},{2,7},{3,6},{4},{5}}=>1
[4,6,7,1,2,3,5]=>[5,6,1,7,2,3,4]=>{{1,5},{2,6},{3},{4,7}}=>{{1,5},{2,6},{3,7},{4}}=>5
[4,6,7,1,2,5,3]=>[5,7,1,6,2,3,4]=>{{1,5},{2,7},{3},{4,6}}=>{{1,3},{2,6},{4},{5,7}}=>3
[4,6,7,1,3,2,5]=>[6,5,1,7,2,3,4]=>{{1,6},{2,5},{3},{4,7}}=>{{1,5},{2,7},{3,6},{4}}=>5
[4,6,7,1,3,5,2]=>[7,5,1,6,2,3,4]=>{{1,7},{2,5},{3},{4,6}}=>{{1,2},{3,6},{4},{5,7}}=>2
[4,6,7,1,5,2,3]=>[6,7,1,5,2,3,4]=>{{1,6},{2,7},{3},{4,5}}=>{{1,3},{2,7},{4},{5,6}}=>3
[4,6,7,1,5,3,2]=>[7,6,1,5,2,3,4]=>{{1,7},{2,6},{3},{4,5}}=>{{1,2},{3,7},{4},{5,6}}=>2
[4,6,7,2,1,3,5]=>[4,6,1,7,2,3,5]=>{{1,4,7},{2,6},{3},{5}}=>{{1,2,5},{3,7},{4},{6}}=>5
[4,6,7,2,1,5,3]=>[4,7,1,6,2,3,5]=>{{1,4,6},{2,7},{3},{5}}=>{{1,3},{2,5,7},{4},{6}}=>3
[4,6,7,2,3,1,5]=>[4,5,1,7,2,3,6]=>{{1,4,7},{2,5},{3},{6}}=>{{1,2,5},{3,6},{4},{7}}=>5
[4,6,7,2,3,5,1]=>[4,5,1,6,2,3,7]=>{{1,4,6},{2,5},{3},{7}}=>{{1},{2,5,7},{3,6},{4}}=>1
[4,6,7,2,5,1,3]=>[4,7,1,5,2,3,6]=>{{1,4,5},{2,7},{3},{6}}=>{{1,3},{2,5,6},{4},{7}}=>3
[4,6,7,2,5,3,1]=>[4,6,1,5,2,3,7]=>{{1,4,5},{2,6},{3},{7}}=>{{1},{2,5,6},{3,7},{4}}=>1
[4,6,7,3,1,2,5]=>[6,4,1,7,2,3,5]=>{{1,6},{2,4,7},{3},{5}}=>{{1,3,5},{2,7},{4},{6}}=>5
[4,6,7,3,1,5,2]=>[7,4,1,6,2,3,5]=>{{1,7},{2,4,6},{3},{5}}=>{{1,2},{3,5,7},{4},{6}}=>2
[4,6,7,3,2,1,5]=>[5,4,1,7,2,3,6]=>{{1,5},{2,4,7},{3},{6}}=>{{1,3,5},{2,6},{4},{7}}=>5
[4,6,7,3,2,5,1]=>[5,4,1,6,2,3,7]=>{{1,5},{2,4,6},{3},{7}}=>{{1},{2,6},{3,5,7},{4}}=>1
[4,6,7,3,5,1,2]=>[7,4,1,5,2,3,6]=>{{1,7},{2,4,5},{3},{6}}=>{{1,2},{3,5,6},{4},{7}}=>2
[4,6,7,3,5,2,1]=>[6,4,1,5,2,3,7]=>{{1,6},{2,4,5},{3},{7}}=>{{1},{2,7},{3,5,6},{4}}=>1
[4,6,7,5,1,2,3]=>[6,7,1,4,2,3,5]=>{{1,6},{2,7},{3},{4},{5}}=>{{1,3},{2,7},{4},{5},{6}}=>3
[4,6,7,5,1,3,2]=>[7,6,1,4,2,3,5]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,2},{3,7},{4},{5},{6}}=>2
[4,6,7,5,2,1,3]=>[5,7,1,4,2,3,6]=>{{1,5},{2,7},{3},{4},{6}}=>{{1,3},{2,6},{4},{5},{7}}=>3
[4,6,7,5,2,3,1]=>[5,6,1,4,2,3,7]=>{{1,5},{2,6},{3},{4},{7}}=>{{1},{2,6},{3,7},{4},{5}}=>1
[4,6,7,5,3,1,2]=>[7,5,1,4,2,3,6]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,2},{3,6},{4},{5},{7}}=>2
[4,6,7,5,3,2,1]=>[6,5,1,4,2,3,7]=>{{1,6},{2,5},{3},{4},{7}}=>{{1},{2,7},{3,6},{4},{5}}=>1
[4,7,1,2,3,5,6]=>[4,5,1,6,7,2,3]=>{{1,4,6},{2,5,7},{3}}=>{{1,3,6},{2,5,7},{4}}=>6
[4,7,1,2,3,6,5]=>[4,5,1,7,6,2,3]=>{{1,4,7},{2,5,6},{3}}=>{{1,2,5},{3,6,7},{4}}=>5
[4,7,1,2,5,3,6]=>[4,6,1,5,7,2,3]=>{{1,4,5,7},{2,6},{3}}=>{{1,2,5,6},{3,7},{4}}=>6
[4,7,1,2,5,6,3]=>[4,7,1,5,6,2,3]=>{{1,4,5,6},{2,7},{3}}=>{{1,3},{2,5,6,7},{4}}=>3
[4,7,1,2,6,3,5]=>[4,6,1,7,5,2,3]=>{{1,4,7},{2,6},{3},{5}}=>{{1,2,5},{3,7},{4},{6}}=>5
[4,7,1,2,6,5,3]=>[4,7,1,6,5,2,3]=>{{1,4,6},{2,7},{3},{5}}=>{{1,3},{2,5,7},{4},{6}}=>3
[4,7,1,3,2,5,6]=>[5,4,1,6,7,2,3]=>{{1,5,7},{2,4,6},{3}}=>{{1,2,6},{3,5,7},{4}}=>6
[4,7,1,3,2,6,5]=>[5,4,1,7,6,2,3]=>{{1,5,6},{2,4,7},{3}}=>{{1,3,5},{2,6,7},{4}}=>5
[4,7,1,3,5,2,6]=>[6,4,1,5,7,2,3]=>{{1,6},{2,4,5,7},{3}}=>{{1,3,5,6},{2,7},{4}}=>6
[4,7,1,3,5,6,2]=>[7,4,1,5,6,2,3]=>{{1,7},{2,4,5,6},{3}}=>{{1,2},{3,5,6,7},{4}}=>2
[4,7,1,3,6,2,5]=>[6,4,1,7,5,2,3]=>{{1,6},{2,4,7},{3},{5}}=>{{1,3,5},{2,7},{4},{6}}=>5
[4,7,1,3,6,5,2]=>[7,4,1,6,5,2,3]=>{{1,7},{2,4,6},{3},{5}}=>{{1,2},{3,5,7},{4},{6}}=>2
[4,7,1,5,2,3,6]=>[5,6,1,4,7,2,3]=>{{1,5,7},{2,6},{3},{4}}=>{{1,2,6},{3,7},{4},{5}}=>6
[4,7,1,5,2,6,3]=>[5,7,1,4,6,2,3]=>{{1,5,6},{2,7},{3},{4}}=>{{1,3},{2,6,7},{4},{5}}=>3
[4,7,1,5,3,2,6]=>[6,5,1,4,7,2,3]=>{{1,6},{2,5,7},{3},{4}}=>{{1,3,6},{2,7},{4},{5}}=>6
[4,7,1,5,3,6,2]=>[7,5,1,4,6,2,3]=>{{1,7},{2,5,6},{3},{4}}=>{{1,2},{3,6,7},{4},{5}}=>2
[4,7,1,5,6,2,3]=>[6,7,1,4,5,2,3]=>{{1,6},{2,7},{3},{4},{5}}=>{{1,3},{2,7},{4},{5},{6}}=>3
[4,7,1,5,6,3,2]=>[7,6,1,4,5,2,3]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,2},{3,7},{4},{5},{6}}=>2
[4,7,1,6,2,3,5]=>[5,6,1,7,4,2,3]=>{{1,5},{2,6},{3},{4,7}}=>{{1,5},{2,6},{3,7},{4}}=>5
[4,7,1,6,2,5,3]=>[5,7,1,6,4,2,3]=>{{1,5},{2,7},{3},{4,6}}=>{{1,3},{2,6},{4},{5,7}}=>3
[4,7,1,6,3,2,5]=>[6,5,1,7,4,2,3]=>{{1,6},{2,5},{3},{4,7}}=>{{1,5},{2,7},{3,6},{4}}=>5
[4,7,1,6,3,5,2]=>[7,5,1,6,4,2,3]=>{{1,7},{2,5},{3},{4,6}}=>{{1,2},{3,6},{4},{5,7}}=>2
[4,7,1,6,5,2,3]=>[6,7,1,5,4,2,3]=>{{1,6},{2,7},{3},{4,5}}=>{{1,3},{2,7},{4},{5,6}}=>3
[4,7,1,6,5,3,2]=>[7,6,1,5,4,2,3]=>{{1,7},{2,6},{3},{4,5}}=>{{1,2},{3,7},{4},{5,6}}=>2
[4,7,2,1,3,5,6]=>[3,5,1,6,7,2,4]=>{{1,3},{2,5,7},{4,6}}=>{{1,3,6},{2,4},{5,7}}=>6
[4,7,2,1,3,6,5]=>[3,5,1,7,6,2,4]=>{{1,3},{2,5,6},{4,7}}=>{{1,5},{2,4},{3,6,7}}=>5
[4,7,2,1,5,3,6]=>[3,6,1,5,7,2,4]=>{{1,3},{2,6},{4,5,7}}=>{{1,5,6},{2,4},{3,7}}=>6
[4,7,2,1,5,6,3]=>[3,7,1,5,6,2,4]=>{{1,3},{2,7},{4,5,6}}=>{{1,3},{2,4},{5,6,7}}=>3
[4,7,2,1,6,3,5]=>[3,6,1,7,5,2,4]=>{{1,3},{2,6},{4,7},{5}}=>{{1,5},{2,4},{3,7},{6}}=>5
[4,7,2,1,6,5,3]=>[3,7,1,6,5,2,4]=>{{1,3},{2,7},{4,6},{5}}=>{{1,3},{2,4},{5,7},{6}}=>3
[4,7,2,3,1,5,6]=>[3,4,1,6,7,2,5]=>{{1,3},{2,4,6},{5,7}}=>{{1,6},{2,4},{3,5,7}}=>6
[4,7,2,3,1,6,5]=>[3,4,1,7,6,2,5]=>{{1,3},{2,4,7},{5,6}}=>{{1,3,5},{2,4},{6,7}}=>5
[4,7,2,3,5,1,6]=>[3,4,1,5,7,2,6]=>{{1,3},{2,4,5,7},{6}}=>{{1,3,5,6},{2,4},{7}}=>6
[4,7,2,3,5,6,1]=>[3,4,1,5,6,2,7]=>{{1,3},{2,4,5,6},{7}}=>{{1},{2,4},{3,5,6,7}}=>1
[4,7,2,3,6,1,5]=>[3,4,1,7,5,2,6]=>{{1,3},{2,4,7},{5},{6}}=>{{1,3,5},{2,4},{6},{7}}=>5
[4,7,2,3,6,5,1]=>[3,4,1,6,5,2,7]=>{{1,3},{2,4,6},{5},{7}}=>{{1},{2,4},{3,5,7},{6}}=>1
[4,7,2,5,1,3,6]=>[3,6,1,4,7,2,5]=>{{1,3},{2,6},{4},{5,7}}=>{{1,6},{2,4},{3,7},{5}}=>6
[4,7,2,5,1,6,3]=>[3,7,1,4,6,2,5]=>{{1,3},{2,7},{4},{5,6}}=>{{1,3},{2,4},{5},{6,7}}=>3
[4,7,2,5,3,1,6]=>[3,5,1,4,7,2,6]=>{{1,3},{2,5,7},{4},{6}}=>{{1,3,6},{2,4},{5},{7}}=>6
[4,7,2,5,3,6,1]=>[3,5,1,4,6,2,7]=>{{1,3},{2,5,6},{4},{7}}=>{{1},{2,4},{3,6,7},{5}}=>1
[4,7,2,5,6,1,3]=>[3,7,1,4,5,2,6]=>{{1,3},{2,7},{4},{5},{6}}=>{{1,3},{2,4},{5},{6},{7}}=>3
[4,7,2,5,6,3,1]=>[3,6,1,4,5,2,7]=>{{1,3},{2,6},{4},{5},{7}}=>{{1},{2,4},{3,7},{5},{6}}=>1
[4,7,2,6,1,3,5]=>[3,6,1,7,4,2,5]=>{{1,3},{2,6},{4,7},{5}}=>{{1,5},{2,4},{3,7},{6}}=>5
[4,7,2,6,1,5,3]=>[3,7,1,6,4,2,5]=>{{1,3},{2,7},{4,6},{5}}=>{{1,3},{2,4},{5,7},{6}}=>3
[4,7,2,6,3,1,5]=>[3,5,1,7,4,2,6]=>{{1,3},{2,5},{4,7},{6}}=>{{1,5},{2,4},{3,6},{7}}=>5
[4,7,2,6,3,5,1]=>[3,5,1,6,4,2,7]=>{{1,3},{2,5},{4,6},{7}}=>{{1},{2,4},{3,6},{5,7}}=>1
[4,7,2,6,5,1,3]=>[3,7,1,5,4,2,6]=>{{1,3},{2,7},{4,5},{6}}=>{{1,3},{2,4},{5,6},{7}}=>3
[4,7,2,6,5,3,1]=>[3,6,1,5,4,2,7]=>{{1,3},{2,6},{4,5},{7}}=>{{1},{2,4},{3,7},{5,6}}=>1
[4,7,3,1,2,5,6]=>[5,3,1,6,7,2,4]=>{{1,5,7},{2,3},{4,6}}=>{{1,2,6},{3,4},{5,7}}=>6
[4,7,3,1,2,6,5]=>[5,3,1,7,6,2,4]=>{{1,5,6},{2,3},{4,7}}=>{{1,5},{2,6,7},{3,4}}=>5
[4,7,3,1,5,2,6]=>[6,3,1,5,7,2,4]=>{{1,6},{2,3},{4,5,7}}=>{{1,5,6},{2,7},{3,4}}=>6
[4,7,3,1,5,6,2]=>[7,3,1,5,6,2,4]=>{{1,7},{2,3},{4,5,6}}=>{{1,2},{3,4},{5,6,7}}=>2
[4,7,3,1,6,2,5]=>[6,3,1,7,5,2,4]=>{{1,6},{2,3},{4,7},{5}}=>{{1,5},{2,7},{3,4},{6}}=>5
[4,7,3,1,6,5,2]=>[7,3,1,6,5,2,4]=>{{1,7},{2,3},{4,6},{5}}=>{{1,2},{3,4},{5,7},{6}}=>2
[4,7,3,2,1,5,6]=>[4,3,1,6,7,2,5]=>{{1,4,6},{2,3},{5,7}}=>{{1,6},{2,5,7},{3,4}}=>6
[4,7,3,2,1,6,5]=>[4,3,1,7,6,2,5]=>{{1,4,7},{2,3},{5,6}}=>{{1,2,5},{3,4},{6,7}}=>5
[4,7,3,2,5,1,6]=>[4,3,1,5,7,2,6]=>{{1,4,5,7},{2,3},{6}}=>{{1,2,5,6},{3,4},{7}}=>6
[4,7,3,2,5,6,1]=>[4,3,1,5,6,2,7]=>{{1,4,5,6},{2,3},{7}}=>{{1},{2,5,6,7},{3,4}}=>1
[4,7,3,2,6,1,5]=>[4,3,1,7,5,2,6]=>{{1,4,7},{2,3},{5},{6}}=>{{1,2,5},{3,4},{6},{7}}=>5
[4,7,3,2,6,5,1]=>[4,3,1,6,5,2,7]=>{{1,4,6},{2,3},{5},{7}}=>{{1},{2,5,7},{3,4},{6}}=>1
[4,7,3,5,1,2,6]=>[6,3,1,4,7,2,5]=>{{1,6},{2,3},{4},{5,7}}=>{{1,6},{2,7},{3,4},{5}}=>6
[4,7,3,5,1,6,2]=>[7,3,1,4,6,2,5]=>{{1,7},{2,3},{4},{5,6}}=>{{1,2},{3,4},{5},{6,7}}=>2
[4,7,3,5,2,1,6]=>[5,3,1,4,7,2,6]=>{{1,5,7},{2,3},{4},{6}}=>{{1,2,6},{3,4},{5},{7}}=>6
[4,7,3,5,2,6,1]=>[5,3,1,4,6,2,7]=>{{1,5,6},{2,3},{4},{7}}=>{{1},{2,6,7},{3,4},{5}}=>1
[4,7,3,5,6,1,2]=>[7,3,1,4,5,2,6]=>{{1,7},{2,3},{4},{5},{6}}=>{{1,2},{3,4},{5},{6},{7}}=>2
[4,7,3,5,6,2,1]=>[6,3,1,4,5,2,7]=>{{1,6},{2,3},{4},{5},{7}}=>{{1},{2,7},{3,4},{5},{6}}=>1
[4,7,3,6,1,2,5]=>[6,3,1,7,4,2,5]=>{{1,6},{2,3},{4,7},{5}}=>{{1,5},{2,7},{3,4},{6}}=>5
[4,7,3,6,1,5,2]=>[7,3,1,6,4,2,5]=>{{1,7},{2,3},{4,6},{5}}=>{{1,2},{3,4},{5,7},{6}}=>2
[4,7,3,6,2,1,5]=>[5,3,1,7,4,2,6]=>{{1,5},{2,3},{4,7},{6}}=>{{1,5},{2,6},{3,4},{7}}=>5
[4,7,3,6,2,5,1]=>[5,3,1,6,4,2,7]=>{{1,5},{2,3},{4,6},{7}}=>{{1},{2,6},{3,4},{5,7}}=>1
[4,7,3,6,5,1,2]=>[7,3,1,5,4,2,6]=>{{1,7},{2,3},{4,5},{6}}=>{{1,2},{3,4},{5,6},{7}}=>2
[4,7,3,6,5,2,1]=>[6,3,1,5,4,2,7]=>{{1,6},{2,3},{4,5},{7}}=>{{1},{2,7},{3,4},{5,6}}=>1
[4,7,5,1,2,3,6]=>[5,6,1,3,7,2,4]=>{{1,5,7},{2,6},{3},{4}}=>{{1,2,6},{3,7},{4},{5}}=>6
[4,7,5,1,2,6,3]=>[5,7,1,3,6,2,4]=>{{1,5,6},{2,7},{3},{4}}=>{{1,3},{2,6,7},{4},{5}}=>3
[4,7,5,1,3,2,6]=>[6,5,1,3,7,2,4]=>{{1,6},{2,5,7},{3},{4}}=>{{1,3,6},{2,7},{4},{5}}=>6
[4,7,5,1,3,6,2]=>[7,5,1,3,6,2,4]=>{{1,7},{2,5,6},{3},{4}}=>{{1,2},{3,6,7},{4},{5}}=>2
[4,7,5,1,6,2,3]=>[6,7,1,3,5,2,4]=>{{1,6},{2,7},{3},{4},{5}}=>{{1,3},{2,7},{4},{5},{6}}=>3
[4,7,5,1,6,3,2]=>[7,6,1,3,5,2,4]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,2},{3,7},{4},{5},{6}}=>2
[4,7,5,2,1,3,6]=>[4,6,1,3,7,2,5]=>{{1,4},{2,6},{3},{5,7}}=>{{1,6},{2,5},{3,7},{4}}=>6
[4,7,5,2,1,6,3]=>[4,7,1,3,6,2,5]=>{{1,4},{2,7},{3},{5,6}}=>{{1,3},{2,5},{4},{6,7}}=>3
[4,7,5,2,3,1,6]=>[4,5,1,3,7,2,6]=>{{1,4},{2,5,7},{3},{6}}=>{{1,3,6},{2,5},{4},{7}}=>6
[4,7,5,2,3,6,1]=>[4,5,1,3,6,2,7]=>{{1,4},{2,5,6},{3},{7}}=>{{1},{2,5},{3,6,7},{4}}=>1
[4,7,5,2,6,1,3]=>[4,7,1,3,5,2,6]=>{{1,4},{2,7},{3},{5},{6}}=>{{1,3},{2,5},{4},{6},{7}}=>3
[4,7,5,2,6,3,1]=>[4,6,1,3,5,2,7]=>{{1,4},{2,6},{3},{5},{7}}=>{{1},{2,5},{3,7},{4},{6}}=>1
[4,7,5,3,1,2,6]=>[6,4,1,3,7,2,5]=>{{1,6},{2,4},{3},{5,7}}=>{{1,6},{2,7},{3,5},{4}}=>6
[4,7,5,3,1,6,2]=>[7,4,1,3,6,2,5]=>{{1,7},{2,4},{3},{5,6}}=>{{1,2},{3,5},{4},{6,7}}=>2
[4,7,5,3,2,1,6]=>[5,4,1,3,7,2,6]=>{{1,5,7},{2,4},{3},{6}}=>{{1,2,6},{3,5},{4},{7}}=>6
[4,7,5,3,2,6,1]=>[5,4,1,3,6,2,7]=>{{1,5,6},{2,4},{3},{7}}=>{{1},{2,6,7},{3,5},{4}}=>1
[4,7,5,3,6,1,2]=>[7,4,1,3,5,2,6]=>{{1,7},{2,4},{3},{5},{6}}=>{{1,2},{3,5},{4},{6},{7}}=>2
[4,7,5,3,6,2,1]=>[6,4,1,3,5,2,7]=>{{1,6},{2,4},{3},{5},{7}}=>{{1},{2,7},{3,5},{4},{6}}=>1
[4,7,5,6,1,2,3]=>[6,7,1,3,4,2,5]=>{{1,6},{2,7},{3},{4},{5}}=>{{1,3},{2,7},{4},{5},{6}}=>3
[4,7,5,6,1,3,2]=>[7,6,1,3,4,2,5]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,2},{3,7},{4},{5},{6}}=>2
[4,7,5,6,2,1,3]=>[5,7,1,3,4,2,6]=>{{1,5},{2,7},{3},{4},{6}}=>{{1,3},{2,6},{4},{5},{7}}=>3
[4,7,5,6,2,3,1]=>[5,6,1,3,4,2,7]=>{{1,5},{2,6},{3},{4},{7}}=>{{1},{2,6},{3,7},{4},{5}}=>1
[4,7,5,6,3,1,2]=>[7,5,1,3,4,2,6]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,2},{3,6},{4},{5},{7}}=>2
[4,7,5,6,3,2,1]=>[6,5,1,3,4,2,7]=>{{1,6},{2,5},{3},{4},{7}}=>{{1},{2,7},{3,6},{4},{5}}=>1
[4,7,6,1,2,3,5]=>[5,6,1,7,3,2,4]=>{{1,5},{2,6},{3},{4,7}}=>{{1,5},{2,6},{3,7},{4}}=>5
[4,7,6,1,2,5,3]=>[5,7,1,6,3,2,4]=>{{1,5},{2,7},{3},{4,6}}=>{{1,3},{2,6},{4},{5,7}}=>3
[4,7,6,1,3,2,5]=>[6,5,1,7,3,2,4]=>{{1,6},{2,5},{3},{4,7}}=>{{1,5},{2,7},{3,6},{4}}=>5
[4,7,6,1,3,5,2]=>[7,5,1,6,3,2,4]=>{{1,7},{2,5},{3},{4,6}}=>{{1,2},{3,6},{4},{5,7}}=>2
[4,7,6,1,5,2,3]=>[6,7,1,5,3,2,4]=>{{1,6},{2,7},{3},{4,5}}=>{{1,3},{2,7},{4},{5,6}}=>3
[4,7,6,1,5,3,2]=>[7,6,1,5,3,2,4]=>{{1,7},{2,6},{3},{4,5}}=>{{1,2},{3,7},{4},{5,6}}=>2
[4,7,6,2,1,3,5]=>[4,6,1,7,3,2,5]=>{{1,4,7},{2,6},{3},{5}}=>{{1,2,5},{3,7},{4},{6}}=>5
[4,7,6,2,1,5,3]=>[4,7,1,6,3,2,5]=>{{1,4,6},{2,7},{3},{5}}=>{{1,3},{2,5,7},{4},{6}}=>3
[4,7,6,2,3,1,5]=>[4,5,1,7,3,2,6]=>{{1,4,7},{2,5},{3},{6}}=>{{1,2,5},{3,6},{4},{7}}=>5
[4,7,6,2,3,5,1]=>[4,5,1,6,3,2,7]=>{{1,4,6},{2,5},{3},{7}}=>{{1},{2,5,7},{3,6},{4}}=>1
[4,7,6,2,5,1,3]=>[4,7,1,5,3,2,6]=>{{1,4,5},{2,7},{3},{6}}=>{{1,3},{2,5,6},{4},{7}}=>3
[4,7,6,2,5,3,1]=>[4,6,1,5,3,2,7]=>{{1,4,5},{2,6},{3},{7}}=>{{1},{2,5,6},{3,7},{4}}=>1
[4,7,6,3,1,2,5]=>[6,4,1,7,3,2,5]=>{{1,6},{2,4,7},{3},{5}}=>{{1,3,5},{2,7},{4},{6}}=>5
[4,7,6,3,1,5,2]=>[7,4,1,6,3,2,5]=>{{1,7},{2,4,6},{3},{5}}=>{{1,2},{3,5,7},{4},{6}}=>2
[4,7,6,3,2,1,5]=>[5,4,1,7,3,2,6]=>{{1,5},{2,4,7},{3},{6}}=>{{1,3,5},{2,6},{4},{7}}=>5
[4,7,6,3,2,5,1]=>[5,4,1,6,3,2,7]=>{{1,5},{2,4,6},{3},{7}}=>{{1},{2,6},{3,5,7},{4}}=>1
[4,7,6,3,5,1,2]=>[7,4,1,5,3,2,6]=>{{1,7},{2,4,5},{3},{6}}=>{{1,2},{3,5,6},{4},{7}}=>2
[4,7,6,3,5,2,1]=>[6,4,1,5,3,2,7]=>{{1,6},{2,4,5},{3},{7}}=>{{1},{2,7},{3,5,6},{4}}=>1
[4,7,6,5,1,2,3]=>[6,7,1,4,3,2,5]=>{{1,6},{2,7},{3},{4},{5}}=>{{1,3},{2,7},{4},{5},{6}}=>3
[4,7,6,5,1,3,2]=>[7,6,1,4,3,2,5]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,2},{3,7},{4},{5},{6}}=>2
[4,7,6,5,2,1,3]=>[5,7,1,4,3,2,6]=>{{1,5},{2,7},{3},{4},{6}}=>{{1,3},{2,6},{4},{5},{7}}=>3
[4,7,6,5,2,3,1]=>[5,6,1,4,3,2,7]=>{{1,5},{2,6},{3},{4},{7}}=>{{1},{2,6},{3,7},{4},{5}}=>1
[4,7,6,5,3,1,2]=>[7,5,1,4,3,2,6]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,2},{3,6},{4},{5},{7}}=>2
[4,7,6,5,3,2,1]=>[6,5,1,4,3,2,7]=>{{1,6},{2,5},{3},{4},{7}}=>{{1},{2,7},{3,6},{4},{5}}=>1
[5,1,2,3,4,6,7]=>[3,4,5,1,6,7,2]=>{{1,3,5,6,7},{2,4}}=>{{1,2,4,6,7},{3,5}}=>7
[5,1,2,3,4,7,6]=>[3,4,5,1,7,6,2]=>{{1,3,5,7},{2,4},{6}}=>{{1,2,4,6},{3,5},{7}}=>6
[5,1,2,3,6,4,7]=>[3,4,6,1,5,7,2]=>{{1,3,6,7},{2,4},{5}}=>{{1,2,4,7},{3,5},{6}}=>7
[5,1,2,3,6,7,4]=>[3,4,7,1,5,6,2]=>{{1,3,7},{2,4},{5},{6}}=>{{1,2,4},{3,5},{6},{7}}=>4
[5,1,2,3,7,4,6]=>[3,4,6,1,7,5,2]=>{{1,3,6},{2,4},{5,7}}=>{{1,6},{2,4,7},{3,5}}=>6
[5,1,2,3,7,6,4]=>[3,4,7,1,6,5,2]=>{{1,3,7},{2,4},{5,6}}=>{{1,2,4},{3,5},{6,7}}=>4
[5,1,2,4,3,6,7]=>[3,5,4,1,6,7,2]=>{{1,3,4},{2,5,6,7}}=>{{1,3,6,7},{2,4,5}}=>7
[5,1,2,4,3,7,6]=>[3,5,4,1,7,6,2]=>{{1,3,4},{2,5,7},{6}}=>{{1,3,6},{2,4,5},{7}}=>6
[5,1,2,4,6,3,7]=>[3,6,4,1,5,7,2]=>{{1,3,4},{2,6,7},{5}}=>{{1,3,7},{2,4,5},{6}}=>7
[5,1,2,4,6,7,3]=>[3,7,4,1,5,6,2]=>{{1,3,4},{2,7},{5},{6}}=>{{1,3},{2,4,5},{6},{7}}=>3
[5,1,2,4,7,3,6]=>[3,6,4,1,7,5,2]=>{{1,3,4},{2,6},{5,7}}=>{{1,6},{2,4,5},{3,7}}=>6
[5,1,2,4,7,6,3]=>[3,7,4,1,6,5,2]=>{{1,3,4},{2,7},{5,6}}=>{{1,3},{2,4,5},{6,7}}=>3
[5,1,2,6,3,4,7]=>[3,5,6,1,4,7,2]=>{{1,3,6,7},{2,5},{4}}=>{{1,2,4,7},{3,6},{5}}=>7
[5,1,2,6,3,7,4]=>[3,5,7,1,4,6,2]=>{{1,3,7},{2,5},{4},{6}}=>{{1,2,4},{3,6},{5},{7}}=>4
[5,1,2,6,4,3,7]=>[3,6,5,1,4,7,2]=>{{1,3,5},{2,6,7},{4}}=>{{1,3,7},{2,4,6},{5}}=>7
[5,1,2,6,4,7,3]=>[3,7,5,1,4,6,2]=>{{1,3,5},{2,7},{4},{6}}=>{{1,3},{2,4,6},{5},{7}}=>3
[5,1,2,6,7,3,4]=>[3,6,7,1,4,5,2]=>{{1,3,7},{2,6},{4},{5}}=>{{1,2,4},{3,7},{5},{6}}=>4
[5,1,2,6,7,4,3]=>[3,7,6,1,4,5,2]=>{{1,3,6},{2,7},{4},{5}}=>{{1,3},{2,4,7},{5},{6}}=>3
[5,1,2,7,3,4,6]=>[3,5,6,1,7,4,2]=>{{1,3,6},{2,5,7},{4}}=>{{1,3,6},{2,4,7},{5}}=>6
[5,1,2,7,3,6,4]=>[3,5,7,1,6,4,2]=>{{1,3,7},{2,5,6},{4}}=>{{1,2,4},{3,6,7},{5}}=>4
[5,1,2,7,4,3,6]=>[3,6,5,1,7,4,2]=>{{1,3,5,7},{2,6},{4}}=>{{1,2,4,6},{3,7},{5}}=>6
[5,1,2,7,4,6,3]=>[3,7,5,1,6,4,2]=>{{1,3,5,6},{2,7},{4}}=>{{1,3},{2,4,6,7},{5}}=>3
[5,1,2,7,6,3,4]=>[3,6,7,1,5,4,2]=>{{1,3,7},{2,6},{4},{5}}=>{{1,2,4},{3,7},{5},{6}}=>4
[5,1,2,7,6,4,3]=>[3,7,6,1,5,4,2]=>{{1,3,6},{2,7},{4},{5}}=>{{1,3},{2,4,7},{5},{6}}=>3
[5,1,3,2,4,6,7]=>[4,3,5,1,6,7,2]=>{{1,4},{2,3,5,6,7}}=>{{1,3,4,6,7},{2,5}}=>7
[5,1,3,2,4,7,6]=>[4,3,5,1,7,6,2]=>{{1,4},{2,3,5,7},{6}}=>{{1,3,4,6},{2,5},{7}}=>6
[5,1,3,2,6,4,7]=>[4,3,6,1,5,7,2]=>{{1,4},{2,3,6,7},{5}}=>{{1,3,4,7},{2,5},{6}}=>7
[5,1,3,2,6,7,4]=>[4,3,7,1,5,6,2]=>{{1,4},{2,3,7},{5},{6}}=>{{1,3,4},{2,5},{6},{7}}=>4
[5,1,3,2,7,4,6]=>[4,3,6,1,7,5,2]=>{{1,4},{2,3,6},{5,7}}=>{{1,6},{2,5},{3,4,7}}=>6
[5,1,3,2,7,6,4]=>[4,3,7,1,6,5,2]=>{{1,4},{2,3,7},{5,6}}=>{{1,3,4},{2,5},{6,7}}=>4
[5,1,3,4,2,6,7]=>[5,3,4,1,6,7,2]=>{{1,5,6,7},{2,3,4}}=>{{1,2,6,7},{3,4,5}}=>7
[5,1,3,4,2,7,6]=>[5,3,4,1,7,6,2]=>{{1,5,7},{2,3,4},{6}}=>{{1,2,6},{3,4,5},{7}}=>6
[5,1,3,4,6,2,7]=>[6,3,4,1,5,7,2]=>{{1,6,7},{2,3,4},{5}}=>{{1,2,7},{3,4,5},{6}}=>7
[5,1,3,4,6,7,2]=>[7,3,4,1,5,6,2]=>{{1,7},{2,3,4},{5},{6}}=>{{1,2},{3,4,5},{6},{7}}=>2
[5,1,3,4,7,2,6]=>[6,3,4,1,7,5,2]=>{{1,6},{2,3,4},{5,7}}=>{{1,6},{2,7},{3,4,5}}=>6
[5,1,3,4,7,6,2]=>[7,3,4,1,6,5,2]=>{{1,7},{2,3,4},{5,6}}=>{{1,2},{3,4,5},{6,7}}=>2
[5,1,3,6,2,4,7]=>[5,3,6,1,4,7,2]=>{{1,5},{2,3,6,7},{4}}=>{{1,3,4,7},{2,6},{5}}=>7
[5,1,3,6,2,7,4]=>[5,3,7,1,4,6,2]=>{{1,5},{2,3,7},{4},{6}}=>{{1,3,4},{2,6},{5},{7}}=>4
[5,1,3,6,4,2,7]=>[6,3,5,1,4,7,2]=>{{1,6,7},{2,3,5},{4}}=>{{1,2,7},{3,4,6},{5}}=>7
[5,1,3,6,4,7,2]=>[7,3,5,1,4,6,2]=>{{1,7},{2,3,5},{4},{6}}=>{{1,2},{3,4,6},{5},{7}}=>2
[5,1,3,6,7,2,4]=>[6,3,7,1,4,5,2]=>{{1,6},{2,3,7},{4},{5}}=>{{1,3,4},{2,7},{5},{6}}=>4
[5,1,3,6,7,4,2]=>[7,3,6,1,4,5,2]=>{{1,7},{2,3,6},{4},{5}}=>{{1,2},{3,4,7},{5},{6}}=>2
[5,1,3,7,2,4,6]=>[5,3,6,1,7,4,2]=>{{1,5,7},{2,3,6},{4}}=>{{1,2,6},{3,4,7},{5}}=>6
[5,1,3,7,2,6,4]=>[5,3,7,1,6,4,2]=>{{1,5,6},{2,3,7},{4}}=>{{1,3,4},{2,6,7},{5}}=>4
[5,1,3,7,4,2,6]=>[6,3,5,1,7,4,2]=>{{1,6},{2,3,5,7},{4}}=>{{1,3,4,6},{2,7},{5}}=>6
[5,1,3,7,4,6,2]=>[7,3,5,1,6,4,2]=>{{1,7},{2,3,5,6},{4}}=>{{1,2},{3,4,6,7},{5}}=>2
[5,1,3,7,6,2,4]=>[6,3,7,1,5,4,2]=>{{1,6},{2,3,7},{4},{5}}=>{{1,3,4},{2,7},{5},{6}}=>4
[5,1,3,7,6,4,2]=>[7,3,6,1,5,4,2]=>{{1,7},{2,3,6},{4},{5}}=>{{1,2},{3,4,7},{5},{6}}=>2
[5,1,4,2,3,6,7]=>[4,5,3,1,6,7,2]=>{{1,4},{2,5,6,7},{3}}=>{{1,3,6,7},{2,5},{4}}=>7
[5,1,4,2,3,7,6]=>[4,5,3,1,7,6,2]=>{{1,4},{2,5,7},{3},{6}}=>{{1,3,6},{2,5},{4},{7}}=>6
[5,1,4,2,6,3,7]=>[4,6,3,1,5,7,2]=>{{1,4},{2,6,7},{3},{5}}=>{{1,3,7},{2,5},{4},{6}}=>7
[5,1,4,2,6,7,3]=>[4,7,3,1,5,6,2]=>{{1,4},{2,7},{3},{5},{6}}=>{{1,3},{2,5},{4},{6},{7}}=>3
[5,1,4,2,7,3,6]=>[4,6,3,1,7,5,2]=>{{1,4},{2,6},{3},{5,7}}=>{{1,6},{2,5},{3,7},{4}}=>6
[5,1,4,2,7,6,3]=>[4,7,3,1,6,5,2]=>{{1,4},{2,7},{3},{5,6}}=>{{1,3},{2,5},{4},{6,7}}=>3
[5,1,4,3,2,6,7]=>[5,4,3,1,6,7,2]=>{{1,5,6,7},{2,4},{3}}=>{{1,2,6,7},{3,5},{4}}=>7
[5,1,4,3,2,7,6]=>[5,4,3,1,7,6,2]=>{{1,5,7},{2,4},{3},{6}}=>{{1,2,6},{3,5},{4},{7}}=>6
[5,1,4,3,6,2,7]=>[6,4,3,1,5,7,2]=>{{1,6,7},{2,4},{3},{5}}=>{{1,2,7},{3,5},{4},{6}}=>7
[5,1,4,3,6,7,2]=>[7,4,3,1,5,6,2]=>{{1,7},{2,4},{3},{5},{6}}=>{{1,2},{3,5},{4},{6},{7}}=>2
[5,1,4,3,7,2,6]=>[6,4,3,1,7,5,2]=>{{1,6},{2,4},{3},{5,7}}=>{{1,6},{2,7},{3,5},{4}}=>6
[5,1,4,3,7,6,2]=>[7,4,3,1,6,5,2]=>{{1,7},{2,4},{3},{5,6}}=>{{1,2},{3,5},{4},{6,7}}=>2
[5,1,4,6,2,3,7]=>[5,6,3,1,4,7,2]=>{{1,5},{2,6,7},{3},{4}}=>{{1,3,7},{2,6},{4},{5}}=>7
[5,1,4,6,2,7,3]=>[5,7,3,1,4,6,2]=>{{1,5},{2,7},{3},{4},{6}}=>{{1,3},{2,6},{4},{5},{7}}=>3
[5,1,4,6,3,2,7]=>[6,5,3,1,4,7,2]=>{{1,6,7},{2,5},{3},{4}}=>{{1,2,7},{3,6},{4},{5}}=>7
[5,1,4,6,3,7,2]=>[7,5,3,1,4,6,2]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,2},{3,6},{4},{5},{7}}=>2
[5,1,4,6,7,2,3]=>[6,7,3,1,4,5,2]=>{{1,6},{2,7},{3},{4},{5}}=>{{1,3},{2,7},{4},{5},{6}}=>3
[5,1,4,6,7,3,2]=>[7,6,3,1,4,5,2]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,2},{3,7},{4},{5},{6}}=>2
[5,1,4,7,2,3,6]=>[5,6,3,1,7,4,2]=>{{1,5,7},{2,6},{3},{4}}=>{{1,2,6},{3,7},{4},{5}}=>6
[5,1,4,7,2,6,3]=>[5,7,3,1,6,4,2]=>{{1,5,6},{2,7},{3},{4}}=>{{1,3},{2,6,7},{4},{5}}=>3
[5,1,4,7,3,2,6]=>[6,5,3,1,7,4,2]=>{{1,6},{2,5,7},{3},{4}}=>{{1,3,6},{2,7},{4},{5}}=>6
[5,1,4,7,3,6,2]=>[7,5,3,1,6,4,2]=>{{1,7},{2,5,6},{3},{4}}=>{{1,2},{3,6,7},{4},{5}}=>2
[5,1,4,7,6,2,3]=>[6,7,3,1,5,4,2]=>{{1,6},{2,7},{3},{4},{5}}=>{{1,3},{2,7},{4},{5},{6}}=>3
[5,1,4,7,6,3,2]=>[7,6,3,1,5,4,2]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,2},{3,7},{4},{5},{6}}=>2
[5,1,6,2,3,4,7]=>[4,5,6,1,3,7,2]=>{{1,4},{2,5},{3,6,7}}=>{{1,4,7},{2,5},{3,6}}=>7
[5,1,6,2,3,7,4]=>[4,5,7,1,3,6,2]=>{{1,4},{2,5},{3,7},{6}}=>{{1,4},{2,5},{3,6},{7}}=>4
[5,1,6,2,4,3,7]=>[4,6,5,1,3,7,2]=>{{1,4},{2,6,7},{3,5}}=>{{1,3,7},{2,5},{4,6}}=>7
[5,1,6,2,4,7,3]=>[4,7,5,1,3,6,2]=>{{1,4},{2,7},{3,5},{6}}=>{{1,3},{2,5},{4,6},{7}}=>3
[5,1,6,2,7,3,4]=>[4,6,7,1,3,5,2]=>{{1,4},{2,6},{3,7},{5}}=>{{1,4},{2,5},{3,7},{6}}=>4
[5,1,6,2,7,4,3]=>[4,7,6,1,3,5,2]=>{{1,4},{2,7},{3,6},{5}}=>{{1,3},{2,5},{4,7},{6}}=>3
[5,1,6,3,2,4,7]=>[5,4,6,1,3,7,2]=>{{1,5},{2,4},{3,6,7}}=>{{1,4,7},{2,6},{3,5}}=>7
[5,1,6,3,2,7,4]=>[5,4,7,1,3,6,2]=>{{1,5},{2,4},{3,7},{6}}=>{{1,4},{2,6},{3,5},{7}}=>4
[5,1,6,3,4,2,7]=>[6,4,5,1,3,7,2]=>{{1,6,7},{2,4},{3,5}}=>{{1,2,7},{3,5},{4,6}}=>7
[5,1,6,3,4,7,2]=>[7,4,5,1,3,6,2]=>{{1,7},{2,4},{3,5},{6}}=>{{1,2},{3,5},{4,6},{7}}=>2
[5,1,6,3,7,2,4]=>[6,4,7,1,3,5,2]=>{{1,6},{2,4},{3,7},{5}}=>{{1,4},{2,7},{3,5},{6}}=>4
[5,1,6,3,7,4,2]=>[7,4,6,1,3,5,2]=>{{1,7},{2,4},{3,6},{5}}=>{{1,2},{3,5},{4,7},{6}}=>2
[5,1,6,4,2,3,7]=>[5,6,4,1,3,7,2]=>{{1,5},{2,6,7},{3,4}}=>{{1,3,7},{2,6},{4,5}}=>7
[5,1,6,4,2,7,3]=>[5,7,4,1,3,6,2]=>{{1,5},{2,7},{3,4},{6}}=>{{1,3},{2,6},{4,5},{7}}=>3
[5,1,6,4,3,2,7]=>[6,5,4,1,3,7,2]=>{{1,6,7},{2,5},{3,4}}=>{{1,2,7},{3,6},{4,5}}=>7
[5,1,6,4,3,7,2]=>[7,5,4,1,3,6,2]=>{{1,7},{2,5},{3,4},{6}}=>{{1,2},{3,6},{4,5},{7}}=>2
[5,1,6,4,7,2,3]=>[6,7,4,1,3,5,2]=>{{1,6},{2,7},{3,4},{5}}=>{{1,3},{2,7},{4,5},{6}}=>3
[5,1,6,4,7,3,2]=>[7,6,4,1,3,5,2]=>{{1,7},{2,6},{3,4},{5}}=>{{1,2},{3,7},{4,5},{6}}=>2
[5,1,6,7,2,3,4]=>[5,6,7,1,3,4,2]=>{{1,5},{2,6},{3,7},{4}}=>{{1,4},{2,6},{3,7},{5}}=>4
[5,1,6,7,2,4,3]=>[5,7,6,1,3,4,2]=>{{1,5},{2,7},{3,6},{4}}=>{{1,3},{2,6},{4,7},{5}}=>3
[5,1,6,7,3,2,4]=>[6,5,7,1,3,4,2]=>{{1,6},{2,5},{3,7},{4}}=>{{1,4},{2,7},{3,6},{5}}=>4
[5,1,6,7,3,4,2]=>[7,5,6,1,3,4,2]=>{{1,7},{2,5},{3,6},{4}}=>{{1,2},{3,6},{4,7},{5}}=>2
[5,1,6,7,4,2,3]=>[6,7,5,1,3,4,2]=>{{1,6},{2,7},{3,5},{4}}=>{{1,3},{2,7},{4,6},{5}}=>3
[5,1,6,7,4,3,2]=>[7,6,5,1,3,4,2]=>{{1,7},{2,6},{3,5},{4}}=>{{1,2},{3,7},{4,6},{5}}=>2
[5,1,7,2,3,4,6]=>[4,5,6,1,7,3,2]=>{{1,4},{2,5,7},{3,6}}=>{{1,3,6},{2,5},{4,7}}=>6
[5,1,7,2,3,6,4]=>[4,5,7,1,6,3,2]=>{{1,4},{2,5,6},{3,7}}=>{{1,4},{2,5},{3,6,7}}=>4
[5,1,7,2,4,3,6]=>[4,6,5,1,7,3,2]=>{{1,4},{2,6},{3,5,7}}=>{{1,4,6},{2,5},{3,7}}=>6
[5,1,7,2,4,6,3]=>[4,7,5,1,6,3,2]=>{{1,4},{2,7},{3,5,6}}=>{{1,3},{2,5},{4,6,7}}=>3
[5,1,7,2,6,3,4]=>[4,6,7,1,5,3,2]=>{{1,4},{2,6},{3,7},{5}}=>{{1,4},{2,5},{3,7},{6}}=>4
[5,1,7,2,6,4,3]=>[4,7,6,1,5,3,2]=>{{1,4},{2,7},{3,6},{5}}=>{{1,3},{2,5},{4,7},{6}}=>3
[5,1,7,3,2,4,6]=>[5,4,6,1,7,3,2]=>{{1,5,7},{2,4},{3,6}}=>{{1,2,6},{3,5},{4,7}}=>6
[5,1,7,3,2,6,4]=>[5,4,7,1,6,3,2]=>{{1,5,6},{2,4},{3,7}}=>{{1,4},{2,6,7},{3,5}}=>4
[5,1,7,3,4,2,6]=>[6,4,5,1,7,3,2]=>{{1,6},{2,4},{3,5,7}}=>{{1,4,6},{2,7},{3,5}}=>6
[5,1,7,3,4,6,2]=>[7,4,5,1,6,3,2]=>{{1,7},{2,4},{3,5,6}}=>{{1,2},{3,5},{4,6,7}}=>2
[5,1,7,3,6,2,4]=>[6,4,7,1,5,3,2]=>{{1,6},{2,4},{3,7},{5}}=>{{1,4},{2,7},{3,5},{6}}=>4
[5,1,7,3,6,4,2]=>[7,4,6,1,5,3,2]=>{{1,7},{2,4},{3,6},{5}}=>{{1,2},{3,5},{4,7},{6}}=>2
[5,1,7,4,2,3,6]=>[5,6,4,1,7,3,2]=>{{1,5,7},{2,6},{3,4}}=>{{1,2,6},{3,7},{4,5}}=>6
[5,1,7,4,2,6,3]=>[5,7,4,1,6,3,2]=>{{1,5,6},{2,7},{3,4}}=>{{1,3},{2,6,7},{4,5}}=>3
[5,1,7,4,3,2,6]=>[6,5,4,1,7,3,2]=>{{1,6},{2,5,7},{3,4}}=>{{1,3,6},{2,7},{4,5}}=>6
[5,1,7,4,3,6,2]=>[7,5,4,1,6,3,2]=>{{1,7},{2,5,6},{3,4}}=>{{1,2},{3,6,7},{4,5}}=>2
[5,1,7,4,6,2,3]=>[6,7,4,1,5,3,2]=>{{1,6},{2,7},{3,4},{5}}=>{{1,3},{2,7},{4,5},{6}}=>3
[5,1,7,4,6,3,2]=>[7,6,4,1,5,3,2]=>{{1,7},{2,6},{3,4},{5}}=>{{1,2},{3,7},{4,5},{6}}=>2
[5,1,7,6,2,3,4]=>[5,6,7,1,4,3,2]=>{{1,5},{2,6},{3,7},{4}}=>{{1,4},{2,6},{3,7},{5}}=>4
[5,1,7,6,2,4,3]=>[5,7,6,1,4,3,2]=>{{1,5},{2,7},{3,6},{4}}=>{{1,3},{2,6},{4,7},{5}}=>3
[5,1,7,6,3,2,4]=>[6,5,7,1,4,3,2]=>{{1,6},{2,5},{3,7},{4}}=>{{1,4},{2,7},{3,6},{5}}=>4
[5,1,7,6,3,4,2]=>[7,5,6,1,4,3,2]=>{{1,7},{2,5},{3,6},{4}}=>{{1,2},{3,6},{4,7},{5}}=>2
[5,1,7,6,4,2,3]=>[6,7,5,1,4,3,2]=>{{1,6},{2,7},{3,5},{4}}=>{{1,3},{2,7},{4,6},{5}}=>3
[5,1,7,6,4,3,2]=>[7,6,5,1,4,3,2]=>{{1,7},{2,6},{3,5},{4}}=>{{1,2},{3,7},{4,6},{5}}=>2
[5,2,1,3,4,6,7]=>[2,4,5,1,6,7,3]=>{{1,2,4},{3,5,6,7}}=>{{1,4,6,7},{2,3,5}}=>7
[5,2,1,3,4,7,6]=>[2,4,5,1,7,6,3]=>{{1,2,4},{3,5,7},{6}}=>{{1,4,6},{2,3,5},{7}}=>6
[5,2,1,3,6,4,7]=>[2,4,6,1,5,7,3]=>{{1,2,4},{3,6,7},{5}}=>{{1,4,7},{2,3,5},{6}}=>7
[5,2,1,3,6,7,4]=>[2,4,7,1,5,6,3]=>{{1,2,4},{3,7},{5},{6}}=>{{1,4},{2,3,5},{6},{7}}=>4
[5,2,1,3,7,4,6]=>[2,4,6,1,7,5,3]=>{{1,2,4},{3,6},{5,7}}=>{{1,6},{2,3,5},{4,7}}=>6
[5,2,1,3,7,6,4]=>[2,4,7,1,6,5,3]=>{{1,2,4},{3,7},{5,6}}=>{{1,4},{2,3,5},{6,7}}=>4
[5,2,1,4,3,6,7]=>[2,5,4,1,6,7,3]=>{{1,2,5,6,7},{3,4}}=>{{1,2,3,6,7},{4,5}}=>7
[5,2,1,4,3,7,6]=>[2,5,4,1,7,6,3]=>{{1,2,5,7},{3,4},{6}}=>{{1,2,3,6},{4,5},{7}}=>6
[5,2,1,4,6,3,7]=>[2,6,4,1,5,7,3]=>{{1,2,6,7},{3,4},{5}}=>{{1,2,3,7},{4,5},{6}}=>7
[5,2,1,4,6,7,3]=>[2,7,4,1,5,6,3]=>{{1,2,7},{3,4},{5},{6}}=>{{1,2,3},{4,5},{6},{7}}=>3
[5,2,1,4,7,3,6]=>[2,6,4,1,7,5,3]=>{{1,2,6},{3,4},{5,7}}=>{{1,6},{2,3,7},{4,5}}=>6
[5,2,1,4,7,6,3]=>[2,7,4,1,6,5,3]=>{{1,2,7},{3,4},{5,6}}=>{{1,2,3},{4,5},{6,7}}=>3
[5,2,1,6,3,4,7]=>[2,5,6,1,4,7,3]=>{{1,2,5},{3,6,7},{4}}=>{{1,4,7},{2,3,6},{5}}=>7
[5,2,1,6,3,7,4]=>[2,5,7,1,4,6,3]=>{{1,2,5},{3,7},{4},{6}}=>{{1,4},{2,3,6},{5},{7}}=>4
[5,2,1,6,4,3,7]=>[2,6,5,1,4,7,3]=>{{1,2,6,7},{3,5},{4}}=>{{1,2,3,7},{4,6},{5}}=>7
[5,2,1,6,4,7,3]=>[2,7,5,1,4,6,3]=>{{1,2,7},{3,5},{4},{6}}=>{{1,2,3},{4,6},{5},{7}}=>3
[5,2,1,6,7,3,4]=>[2,6,7,1,4,5,3]=>{{1,2,6},{3,7},{4},{5}}=>{{1,4},{2,3,7},{5},{6}}=>4
[5,2,1,6,7,4,3]=>[2,7,6,1,4,5,3]=>{{1,2,7},{3,6},{4},{5}}=>{{1,2,3},{4,7},{5},{6}}=>3
[5,2,1,7,3,4,6]=>[2,5,6,1,7,4,3]=>{{1,2,5,7},{3,6},{4}}=>{{1,2,3,6},{4,7},{5}}=>6
[5,2,1,7,3,6,4]=>[2,5,7,1,6,4,3]=>{{1,2,5,6},{3,7},{4}}=>{{1,4},{2,3,6,7},{5}}=>4
[5,2,1,7,4,3,6]=>[2,6,5,1,7,4,3]=>{{1,2,6},{3,5,7},{4}}=>{{1,4,6},{2,3,7},{5}}=>6
[5,2,1,7,4,6,3]=>[2,7,5,1,6,4,3]=>{{1,2,7},{3,5,6},{4}}=>{{1,2,3},{4,6,7},{5}}=>3
[5,2,1,7,6,3,4]=>[2,6,7,1,5,4,3]=>{{1,2,6},{3,7},{4},{5}}=>{{1,4},{2,3,7},{5},{6}}=>4
[5,2,1,7,6,4,3]=>[2,7,6,1,5,4,3]=>{{1,2,7},{3,6},{4},{5}}=>{{1,2,3},{4,7},{5},{6}}=>3
[5,2,3,1,4,6,7]=>[2,3,5,1,6,7,4]=>{{1,2,3,5,6,7},{4}}=>{{1,2,3,4,6,7},{5}}=>7
[5,2,3,1,4,7,6]=>[2,3,5,1,7,6,4]=>{{1,2,3,5,7},{4},{6}}=>{{1,2,3,4,6},{5},{7}}=>6
[5,2,3,1,6,4,7]=>[2,3,6,1,5,7,4]=>{{1,2,3,6,7},{4},{5}}=>{{1,2,3,4,7},{5},{6}}=>7
[5,2,3,1,6,7,4]=>[2,3,7,1,5,6,4]=>{{1,2,3,7},{4},{5},{6}}=>{{1,2,3,4},{5},{6},{7}}=>4
[5,2,3,1,7,4,6]=>[2,3,6,1,7,5,4]=>{{1,2,3,6},{4},{5,7}}=>{{1,6},{2,3,4,7},{5}}=>6
[5,2,3,1,7,6,4]=>[2,3,7,1,6,5,4]=>{{1,2,3,7},{4},{5,6}}=>{{1,2,3,4},{5},{6,7}}=>4
[5,2,3,4,1,6,7]=>[2,3,4,1,6,7,5]=>{{1,2,3,4},{5,6,7}}=>{{1,6,7},{2,3,4,5}}=>7
[5,2,3,4,1,7,6]=>[2,3,4,1,7,6,5]=>{{1,2,3,4},{5,7},{6}}=>{{1,6},{2,3,4,5},{7}}=>6
[5,2,3,4,6,1,7]=>[2,3,4,1,5,7,6]=>{{1,2,3,4},{5},{6,7}}=>{{1,7},{2,3,4,5},{6}}=>7
[5,2,3,4,6,7,1]=>[2,3,4,1,5,6,7]=>{{1,2,3,4},{5},{6},{7}}=>{{1},{2,3,4,5},{6},{7}}=>1
[5,2,3,4,7,1,6]=>[2,3,4,1,7,5,6]=>{{1,2,3,4},{5,7},{6}}=>{{1,6},{2,3,4,5},{7}}=>6
[5,2,3,4,7,6,1]=>[2,3,4,1,6,5,7]=>{{1,2,3,4},{5,6},{7}}=>{{1},{2,3,4,5},{6,7}}=>1
[5,2,3,6,1,4,7]=>[2,3,6,1,4,7,5]=>{{1,2,3,6,7},{4},{5}}=>{{1,2,3,4,7},{5},{6}}=>7
[5,2,3,6,1,7,4]=>[2,3,7,1,4,6,5]=>{{1,2,3,7},{4},{5},{6}}=>{{1,2,3,4},{5},{6},{7}}=>4
[5,2,3,6,4,1,7]=>[2,3,5,1,4,7,6]=>{{1,2,3,5},{4},{6,7}}=>{{1,7},{2,3,4,6},{5}}=>7
[5,2,3,6,4,7,1]=>[2,3,5,1,4,6,7]=>{{1,2,3,5},{4},{6},{7}}=>{{1},{2,3,4,6},{5},{7}}=>1
[5,2,3,6,7,1,4]=>[2,3,7,1,4,5,6]=>{{1,2,3,7},{4},{5},{6}}=>{{1,2,3,4},{5},{6},{7}}=>4
[5,2,3,6,7,4,1]=>[2,3,6,1,4,5,7]=>{{1,2,3,6},{4},{5},{7}}=>{{1},{2,3,4,7},{5},{6}}=>1
[5,2,3,7,1,4,6]=>[2,3,6,1,7,4,5]=>{{1,2,3,6},{4},{5,7}}=>{{1,6},{2,3,4,7},{5}}=>6
[5,2,3,7,1,6,4]=>[2,3,7,1,6,4,5]=>{{1,2,3,7},{4},{5,6}}=>{{1,2,3,4},{5},{6,7}}=>4
[5,2,3,7,4,1,6]=>[2,3,5,1,7,4,6]=>{{1,2,3,5,7},{4},{6}}=>{{1,2,3,4,6},{5},{7}}=>6
[5,2,3,7,4,6,1]=>[2,3,5,1,6,4,7]=>{{1,2,3,5,6},{4},{7}}=>{{1},{2,3,4,6,7},{5}}=>1
[5,2,3,7,6,1,4]=>[2,3,7,1,5,4,6]=>{{1,2,3,7},{4},{5},{6}}=>{{1,2,3,4},{5},{6},{7}}=>4
[5,2,3,7,6,4,1]=>[2,3,6,1,5,4,7]=>{{1,2,3,6},{4},{5},{7}}=>{{1},{2,3,4,7},{5},{6}}=>1
[5,2,4,1,3,6,7]=>[2,5,3,1,6,7,4]=>{{1,2,5,6,7},{3},{4}}=>{{1,2,3,6,7},{4},{5}}=>7
[5,2,4,1,3,7,6]=>[2,5,3,1,7,6,4]=>{{1,2,5,7},{3},{4},{6}}=>{{1,2,3,6},{4},{5},{7}}=>6
[5,2,4,1,6,3,7]=>[2,6,3,1,5,7,4]=>{{1,2,6,7},{3},{4},{5}}=>{{1,2,3,7},{4},{5},{6}}=>7
[5,2,4,1,6,7,3]=>[2,7,3,1,5,6,4]=>{{1,2,7},{3},{4},{5},{6}}=>{{1,2,3},{4},{5},{6},{7}}=>3
[5,2,4,1,7,3,6]=>[2,6,3,1,7,5,4]=>{{1,2,6},{3},{4},{5,7}}=>{{1,6},{2,3,7},{4},{5}}=>6
[5,2,4,1,7,6,3]=>[2,7,3,1,6,5,4]=>{{1,2,7},{3},{4},{5,6}}=>{{1,2,3},{4},{5},{6,7}}=>3
[5,2,4,3,1,6,7]=>[2,4,3,1,6,7,5]=>{{1,2,4},{3},{5,6,7}}=>{{1,6,7},{2,3,5},{4}}=>7
[5,2,4,3,1,7,6]=>[2,4,3,1,7,6,5]=>{{1,2,4},{3},{5,7},{6}}=>{{1,6},{2,3,5},{4},{7}}=>6
[5,2,4,3,6,1,7]=>[2,4,3,1,5,7,6]=>{{1,2,4},{3},{5},{6,7}}=>{{1,7},{2,3,5},{4},{6}}=>7
[5,2,4,3,6,7,1]=>[2,4,3,1,5,6,7]=>{{1,2,4},{3},{5},{6},{7}}=>{{1},{2,3,5},{4},{6},{7}}=>1
[5,2,4,3,7,1,6]=>[2,4,3,1,7,5,6]=>{{1,2,4},{3},{5,7},{6}}=>{{1,6},{2,3,5},{4},{7}}=>6
[5,2,4,3,7,6,1]=>[2,4,3,1,6,5,7]=>{{1,2,4},{3},{5,6},{7}}=>{{1},{2,3,5},{4},{6,7}}=>1
[5,2,4,6,1,3,7]=>[2,6,3,1,4,7,5]=>{{1,2,6,7},{3},{4},{5}}=>{{1,2,3,7},{4},{5},{6}}=>7
[5,2,4,6,1,7,3]=>[2,7,3,1,4,6,5]=>{{1,2,7},{3},{4},{5},{6}}=>{{1,2,3},{4},{5},{6},{7}}=>3
[5,2,4,6,3,1,7]=>[2,5,3,1,4,7,6]=>{{1,2,5},{3},{4},{6,7}}=>{{1,7},{2,3,6},{4},{5}}=>7
[5,2,4,6,3,7,1]=>[2,5,3,1,4,6,7]=>{{1,2,5},{3},{4},{6},{7}}=>{{1},{2,3,6},{4},{5},{7}}=>1
[5,2,4,6,7,1,3]=>[2,7,3,1,4,5,6]=>{{1,2,7},{3},{4},{5},{6}}=>{{1,2,3},{4},{5},{6},{7}}=>3
[5,2,4,6,7,3,1]=>[2,6,3,1,4,5,7]=>{{1,2,6},{3},{4},{5},{7}}=>{{1},{2,3,7},{4},{5},{6}}=>1
[5,2,4,7,1,3,6]=>[2,6,3,1,7,4,5]=>{{1,2,6},{3},{4},{5,7}}=>{{1,6},{2,3,7},{4},{5}}=>6
[5,2,4,7,1,6,3]=>[2,7,3,1,6,4,5]=>{{1,2,7},{3},{4},{5,6}}=>{{1,2,3},{4},{5},{6,7}}=>3
[5,2,4,7,3,1,6]=>[2,5,3,1,7,4,6]=>{{1,2,5,7},{3},{4},{6}}=>{{1,2,3,6},{4},{5},{7}}=>6
[5,2,4,7,3,6,1]=>[2,5,3,1,6,4,7]=>{{1,2,5,6},{3},{4},{7}}=>{{1},{2,3,6,7},{4},{5}}=>1
[5,2,4,7,6,1,3]=>[2,7,3,1,5,4,6]=>{{1,2,7},{3},{4},{5},{6}}=>{{1,2,3},{4},{5},{6},{7}}=>3
[5,2,4,7,6,3,1]=>[2,6,3,1,5,4,7]=>{{1,2,6},{3},{4},{5},{7}}=>{{1},{2,3,7},{4},{5},{6}}=>1
[5,2,6,1,3,4,7]=>[2,5,6,1,3,7,4]=>{{1,2,5},{3,6,7},{4}}=>{{1,4,7},{2,3,6},{5}}=>7
[5,2,6,1,3,7,4]=>[2,5,7,1,3,6,4]=>{{1,2,5},{3,7},{4},{6}}=>{{1,4},{2,3,6},{5},{7}}=>4
[5,2,6,1,4,3,7]=>[2,6,5,1,3,7,4]=>{{1,2,6,7},{3,5},{4}}=>{{1,2,3,7},{4,6},{5}}=>7
[5,2,6,1,4,7,3]=>[2,7,5,1,3,6,4]=>{{1,2,7},{3,5},{4},{6}}=>{{1,2,3},{4,6},{5},{7}}=>3
[5,2,6,1,7,3,4]=>[2,6,7,1,3,5,4]=>{{1,2,6},{3,7},{4},{5}}=>{{1,4},{2,3,7},{5},{6}}=>4
[5,2,6,1,7,4,3]=>[2,7,6,1,3,5,4]=>{{1,2,7},{3,6},{4},{5}}=>{{1,2,3},{4,7},{5},{6}}=>3
[5,2,6,3,1,4,7]=>[2,4,6,1,3,7,5]=>{{1,2,4},{3,6,7},{5}}=>{{1,4,7},{2,3,5},{6}}=>7
[5,2,6,3,1,7,4]=>[2,4,7,1,3,6,5]=>{{1,2,4},{3,7},{5},{6}}=>{{1,4},{2,3,5},{6},{7}}=>4
[5,2,6,3,4,1,7]=>[2,4,5,1,3,7,6]=>{{1,2,4},{3,5},{6,7}}=>{{1,7},{2,3,5},{4,6}}=>7
[5,2,6,3,4,7,1]=>[2,4,5,1,3,6,7]=>{{1,2,4},{3,5},{6},{7}}=>{{1},{2,3,5},{4,6},{7}}=>1
[5,2,6,3,7,1,4]=>[2,4,7,1,3,5,6]=>{{1,2,4},{3,7},{5},{6}}=>{{1,4},{2,3,5},{6},{7}}=>4
[5,2,6,3,7,4,1]=>[2,4,6,1,3,5,7]=>{{1,2,4},{3,6},{5},{7}}=>{{1},{2,3,5},{4,7},{6}}=>1
[5,2,6,4,1,3,7]=>[2,6,4,1,3,7,5]=>{{1,2,6,7},{3,4},{5}}=>{{1,2,3,7},{4,5},{6}}=>7
[5,2,6,4,1,7,3]=>[2,7,4,1,3,6,5]=>{{1,2,7},{3,4},{5},{6}}=>{{1,2,3},{4,5},{6},{7}}=>3
[5,2,6,4,3,1,7]=>[2,5,4,1,3,7,6]=>{{1,2,5},{3,4},{6,7}}=>{{1,7},{2,3,6},{4,5}}=>7
[5,2,6,4,3,7,1]=>[2,5,4,1,3,6,7]=>{{1,2,5},{3,4},{6},{7}}=>{{1},{2,3,6},{4,5},{7}}=>1
[5,2,6,4,7,1,3]=>[2,7,4,1,3,5,6]=>{{1,2,7},{3,4},{5},{6}}=>{{1,2,3},{4,5},{6},{7}}=>3
[5,2,6,4,7,3,1]=>[2,6,4,1,3,5,7]=>{{1,2,6},{3,4},{5},{7}}=>{{1},{2,3,7},{4,5},{6}}=>1
[5,2,6,7,1,3,4]=>[2,6,7,1,3,4,5]=>{{1,2,6},{3,7},{4},{5}}=>{{1,4},{2,3,7},{5},{6}}=>4
[5,2,6,7,1,4,3]=>[2,7,6,1,3,4,5]=>{{1,2,7},{3,6},{4},{5}}=>{{1,2,3},{4,7},{5},{6}}=>3
[5,2,6,7,3,1,4]=>[2,5,7,1,3,4,6]=>{{1,2,5},{3,7},{4},{6}}=>{{1,4},{2,3,6},{5},{7}}=>4
[5,2,6,7,3,4,1]=>[2,5,6,1,3,4,7]=>{{1,2,5},{3,6},{4},{7}}=>{{1},{2,3,6},{4,7},{5}}=>1
[5,2,6,7,4,1,3]=>[2,7,5,1,3,4,6]=>{{1,2,7},{3,5},{4},{6}}=>{{1,2,3},{4,6},{5},{7}}=>3
[5,2,6,7,4,3,1]=>[2,6,5,1,3,4,7]=>{{1,2,6},{3,5},{4},{7}}=>{{1},{2,3,7},{4,6},{5}}=>1
[5,2,7,1,3,4,6]=>[2,5,6,1,7,3,4]=>{{1,2,5,7},{3,6},{4}}=>{{1,2,3,6},{4,7},{5}}=>6
[5,2,7,1,3,6,4]=>[2,5,7,1,6,3,4]=>{{1,2,5,6},{3,7},{4}}=>{{1,4},{2,3,6,7},{5}}=>4
[5,2,7,1,4,3,6]=>[2,6,5,1,7,3,4]=>{{1,2,6},{3,5,7},{4}}=>{{1,4,6},{2,3,7},{5}}=>6
[5,2,7,1,4,6,3]=>[2,7,5,1,6,3,4]=>{{1,2,7},{3,5,6},{4}}=>{{1,2,3},{4,6,7},{5}}=>3
[5,2,7,1,6,3,4]=>[2,6,7,1,5,3,4]=>{{1,2,6},{3,7},{4},{5}}=>{{1,4},{2,3,7},{5},{6}}=>4
[5,2,7,1,6,4,3]=>[2,7,6,1,5,3,4]=>{{1,2,7},{3,6},{4},{5}}=>{{1,2,3},{4,7},{5},{6}}=>3
[5,2,7,3,1,4,6]=>[2,4,6,1,7,3,5]=>{{1,2,4},{3,6},{5,7}}=>{{1,6},{2,3,5},{4,7}}=>6
[5,2,7,3,1,6,4]=>[2,4,7,1,6,3,5]=>{{1,2,4},{3,7},{5,6}}=>{{1,4},{2,3,5},{6,7}}=>4
[5,2,7,3,4,1,6]=>[2,4,5,1,7,3,6]=>{{1,2,4},{3,5,7},{6}}=>{{1,4,6},{2,3,5},{7}}=>6
[5,2,7,3,4,6,1]=>[2,4,5,1,6,3,7]=>{{1,2,4},{3,5,6},{7}}=>{{1},{2,3,5},{4,6,7}}=>1
[5,2,7,3,6,1,4]=>[2,4,7,1,5,3,6]=>{{1,2,4},{3,7},{5},{6}}=>{{1,4},{2,3,5},{6},{7}}=>4
[5,2,7,3,6,4,1]=>[2,4,6,1,5,3,7]=>{{1,2,4},{3,6},{5},{7}}=>{{1},{2,3,5},{4,7},{6}}=>1
[5,2,7,4,1,3,6]=>[2,6,4,1,7,3,5]=>{{1,2,6},{3,4},{5,7}}=>{{1,6},{2,3,7},{4,5}}=>6
[5,2,7,4,1,6,3]=>[2,7,4,1,6,3,5]=>{{1,2,7},{3,4},{5,6}}=>{{1,2,3},{4,5},{6,7}}=>3
[5,2,7,4,3,1,6]=>[2,5,4,1,7,3,6]=>{{1,2,5,7},{3,4},{6}}=>{{1,2,3,6},{4,5},{7}}=>6
[5,2,7,4,3,6,1]=>[2,5,4,1,6,3,7]=>{{1,2,5,6},{3,4},{7}}=>{{1},{2,3,6,7},{4,5}}=>1
[5,2,7,4,6,1,3]=>[2,7,4,1,5,3,6]=>{{1,2,7},{3,4},{5},{6}}=>{{1,2,3},{4,5},{6},{7}}=>3
[5,2,7,4,6,3,1]=>[2,6,4,1,5,3,7]=>{{1,2,6},{3,4},{5},{7}}=>{{1},{2,3,7},{4,5},{6}}=>1
[5,2,7,6,1,3,4]=>[2,6,7,1,4,3,5]=>{{1,2,6},{3,7},{4},{5}}=>{{1,4},{2,3,7},{5},{6}}=>4
[5,2,7,6,1,4,3]=>[2,7,6,1,4,3,5]=>{{1,2,7},{3,6},{4},{5}}=>{{1,2,3},{4,7},{5},{6}}=>3
[5,2,7,6,3,1,4]=>[2,5,7,1,4,3,6]=>{{1,2,5},{3,7},{4},{6}}=>{{1,4},{2,3,6},{5},{7}}=>4
[5,2,7,6,3,4,1]=>[2,5,6,1,4,3,7]=>{{1,2,5},{3,6},{4},{7}}=>{{1},{2,3,6},{4,7},{5}}=>1
[5,2,7,6,4,1,3]=>[2,7,5,1,4,3,6]=>{{1,2,7},{3,5},{4},{6}}=>{{1,2,3},{4,6},{5},{7}}=>3
[5,2,7,6,4,3,1]=>[2,6,5,1,4,3,7]=>{{1,2,6},{3,5},{4},{7}}=>{{1},{2,3,7},{4,6},{5}}=>1
[5,3,1,2,4,6,7]=>[4,2,5,1,6,7,3]=>{{1,4},{2},{3,5,6,7}}=>{{1,4,6,7},{2,5},{3}}=>7
[5,3,1,2,4,7,6]=>[4,2,5,1,7,6,3]=>{{1,4},{2},{3,5,7},{6}}=>{{1,4,6},{2,5},{3},{7}}=>6
[5,3,1,2,6,4,7]=>[4,2,6,1,5,7,3]=>{{1,4},{2},{3,6,7},{5}}=>{{1,4,7},{2,5},{3},{6}}=>7
[5,3,1,2,6,7,4]=>[4,2,7,1,5,6,3]=>{{1,4},{2},{3,7},{5},{6}}=>{{1,4},{2,5},{3},{6},{7}}=>4
[5,3,1,2,7,4,6]=>[4,2,6,1,7,5,3]=>{{1,4},{2},{3,6},{5,7}}=>{{1,6},{2,5},{3},{4,7}}=>6
[5,3,1,2,7,6,4]=>[4,2,7,1,6,5,3]=>{{1,4},{2},{3,7},{5,6}}=>{{1,4},{2,5},{3},{6,7}}=>4
[5,3,1,4,2,6,7]=>[5,2,4,1,6,7,3]=>{{1,5,6,7},{2},{3,4}}=>{{1,2,6,7},{3},{4,5}}=>7
[5,3,1,4,2,7,6]=>[5,2,4,1,7,6,3]=>{{1,5,7},{2},{3,4},{6}}=>{{1,2,6},{3},{4,5},{7}}=>6
[5,3,1,4,6,2,7]=>[6,2,4,1,5,7,3]=>{{1,6,7},{2},{3,4},{5}}=>{{1,2,7},{3},{4,5},{6}}=>7
[5,3,1,4,6,7,2]=>[7,2,4,1,5,6,3]=>{{1,7},{2},{3,4},{5},{6}}=>{{1,2},{3},{4,5},{6},{7}}=>2
[5,3,1,4,7,2,6]=>[6,2,4,1,7,5,3]=>{{1,6},{2},{3,4},{5,7}}=>{{1,6},{2,7},{3},{4,5}}=>6
[5,3,1,4,7,6,2]=>[7,2,4,1,6,5,3]=>{{1,7},{2},{3,4},{5,6}}=>{{1,2},{3},{4,5},{6,7}}=>2
[5,3,1,6,2,4,7]=>[5,2,6,1,4,7,3]=>{{1,5},{2},{3,6,7},{4}}=>{{1,4,7},{2,6},{3},{5}}=>7
[5,3,1,6,2,7,4]=>[5,2,7,1,4,6,3]=>{{1,5},{2},{3,7},{4},{6}}=>{{1,4},{2,6},{3},{5},{7}}=>4
[5,3,1,6,4,2,7]=>[6,2,5,1,4,7,3]=>{{1,6,7},{2},{3,5},{4}}=>{{1,2,7},{3},{4,6},{5}}=>7
[5,3,1,6,4,7,2]=>[7,2,5,1,4,6,3]=>{{1,7},{2},{3,5},{4},{6}}=>{{1,2},{3},{4,6},{5},{7}}=>2
[5,3,1,6,7,2,4]=>[6,2,7,1,4,5,3]=>{{1,6},{2},{3,7},{4},{5}}=>{{1,4},{2,7},{3},{5},{6}}=>4
[5,3,1,6,7,4,2]=>[7,2,6,1,4,5,3]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,2},{3},{4,7},{5},{6}}=>2
[5,3,1,7,2,4,6]=>[5,2,6,1,7,4,3]=>{{1,5,7},{2},{3,6},{4}}=>{{1,2,6},{3},{4,7},{5}}=>6
[5,3,1,7,2,6,4]=>[5,2,7,1,6,4,3]=>{{1,5,6},{2},{3,7},{4}}=>{{1,4},{2,6,7},{3},{5}}=>4
[5,3,1,7,4,2,6]=>[6,2,5,1,7,4,3]=>{{1,6},{2},{3,5,7},{4}}=>{{1,4,6},{2,7},{3},{5}}=>6
[5,3,1,7,4,6,2]=>[7,2,5,1,6,4,3]=>{{1,7},{2},{3,5,6},{4}}=>{{1,2},{3},{4,6,7},{5}}=>2
[5,3,1,7,6,2,4]=>[6,2,7,1,5,4,3]=>{{1,6},{2},{3,7},{4},{5}}=>{{1,4},{2,7},{3},{5},{6}}=>4
[5,3,1,7,6,4,2]=>[7,2,6,1,5,4,3]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,2},{3},{4,7},{5},{6}}=>2
[5,3,2,1,4,6,7]=>[3,2,5,1,6,7,4]=>{{1,3,5,6,7},{2},{4}}=>{{1,2,4,6,7},{3},{5}}=>7
[5,3,2,1,4,7,6]=>[3,2,5,1,7,6,4]=>{{1,3,5,7},{2},{4},{6}}=>{{1,2,4,6},{3},{5},{7}}=>6
[5,3,2,1,6,4,7]=>[3,2,6,1,5,7,4]=>{{1,3,6,7},{2},{4},{5}}=>{{1,2,4,7},{3},{5},{6}}=>7
[5,3,2,1,6,7,4]=>[3,2,7,1,5,6,4]=>{{1,3,7},{2},{4},{5},{6}}=>{{1,2,4},{3},{5},{6},{7}}=>4
[5,3,2,1,7,4,6]=>[3,2,6,1,7,5,4]=>{{1,3,6},{2},{4},{5,7}}=>{{1,6},{2,4,7},{3},{5}}=>6
[5,3,2,1,7,6,4]=>[3,2,7,1,6,5,4]=>{{1,3,7},{2},{4},{5,6}}=>{{1,2,4},{3},{5},{6,7}}=>4
[5,3,2,4,1,6,7]=>[3,2,4,1,6,7,5]=>{{1,3,4},{2},{5,6,7}}=>{{1,6,7},{2,4,5},{3}}=>7
[5,3,2,4,1,7,6]=>[3,2,4,1,7,6,5]=>{{1,3,4},{2},{5,7},{6}}=>{{1,6},{2,4,5},{3},{7}}=>6
[5,3,2,4,6,1,7]=>[3,2,4,1,5,7,6]=>{{1,3,4},{2},{5},{6,7}}=>{{1,7},{2,4,5},{3},{6}}=>7
[5,3,2,4,6,7,1]=>[3,2,4,1,5,6,7]=>{{1,3,4},{2},{5},{6},{7}}=>{{1},{2,4,5},{3},{6},{7}}=>1
[5,3,2,4,7,1,6]=>[3,2,4,1,7,5,6]=>{{1,3,4},{2},{5,7},{6}}=>{{1,6},{2,4,5},{3},{7}}=>6
[5,3,2,4,7,6,1]=>[3,2,4,1,6,5,7]=>{{1,3,4},{2},{5,6},{7}}=>{{1},{2,4,5},{3},{6,7}}=>1
[5,3,2,6,1,4,7]=>[3,2,6,1,4,7,5]=>{{1,3,6,7},{2},{4},{5}}=>{{1,2,4,7},{3},{5},{6}}=>7
[5,3,2,6,1,7,4]=>[3,2,7,1,4,6,5]=>{{1,3,7},{2},{4},{5},{6}}=>{{1,2,4},{3},{5},{6},{7}}=>4
[5,3,2,6,4,1,7]=>[3,2,5,1,4,7,6]=>{{1,3,5},{2},{4},{6,7}}=>{{1,7},{2,4,6},{3},{5}}=>7
[5,3,2,6,4,7,1]=>[3,2,5,1,4,6,7]=>{{1,3,5},{2},{4},{6},{7}}=>{{1},{2,4,6},{3},{5},{7}}=>1
[5,3,2,6,7,1,4]=>[3,2,7,1,4,5,6]=>{{1,3,7},{2},{4},{5},{6}}=>{{1,2,4},{3},{5},{6},{7}}=>4
[5,3,2,6,7,4,1]=>[3,2,6,1,4,5,7]=>{{1,3,6},{2},{4},{5},{7}}=>{{1},{2,4,7},{3},{5},{6}}=>1
[5,3,2,7,1,4,6]=>[3,2,6,1,7,4,5]=>{{1,3,6},{2},{4},{5,7}}=>{{1,6},{2,4,7},{3},{5}}=>6
[5,3,2,7,1,6,4]=>[3,2,7,1,6,4,5]=>{{1,3,7},{2},{4},{5,6}}=>{{1,2,4},{3},{5},{6,7}}=>4
[5,3,2,7,4,1,6]=>[3,2,5,1,7,4,6]=>{{1,3,5,7},{2},{4},{6}}=>{{1,2,4,6},{3},{5},{7}}=>6
[5,3,2,7,4,6,1]=>[3,2,5,1,6,4,7]=>{{1,3,5,6},{2},{4},{7}}=>{{1},{2,4,6,7},{3},{5}}=>1
[5,3,2,7,6,1,4]=>[3,2,7,1,5,4,6]=>{{1,3,7},{2},{4},{5},{6}}=>{{1,2,4},{3},{5},{6},{7}}=>4
[5,3,2,7,6,4,1]=>[3,2,6,1,5,4,7]=>{{1,3,6},{2},{4},{5},{7}}=>{{1},{2,4,7},{3},{5},{6}}=>1
[5,3,4,1,2,6,7]=>[5,2,3,1,6,7,4]=>{{1,5,6,7},{2},{3},{4}}=>{{1,2,6,7},{3},{4},{5}}=>7
[5,3,4,1,2,7,6]=>[5,2,3,1,7,6,4]=>{{1,5,7},{2},{3},{4},{6}}=>{{1,2,6},{3},{4},{5},{7}}=>6
[5,3,4,1,6,2,7]=>[6,2,3,1,5,7,4]=>{{1,6,7},{2},{3},{4},{5}}=>{{1,2,7},{3},{4},{5},{6}}=>7
[5,3,4,1,6,7,2]=>[7,2,3,1,5,6,4]=>{{1,7},{2},{3},{4},{5},{6}}=>{{1,2},{3},{4},{5},{6},{7}}=>2
[5,3,4,1,7,2,6]=>[6,2,3,1,7,5,4]=>{{1,6},{2},{3},{4},{5,7}}=>{{1,6},{2,7},{3},{4},{5}}=>6
[5,3,4,1,7,6,2]=>[7,2,3,1,6,5,4]=>{{1,7},{2},{3},{4},{5,6}}=>{{1,2},{3},{4},{5},{6,7}}=>2
[5,3,4,2,1,6,7]=>[4,2,3,1,6,7,5]=>{{1,4},{2},{3},{5,6,7}}=>{{1,6,7},{2,5},{3},{4}}=>7
[5,3,4,2,1,7,6]=>[4,2,3,1,7,6,5]=>{{1,4},{2},{3},{5,7},{6}}=>{{1,6},{2,5},{3},{4},{7}}=>6
[5,3,4,2,6,1,7]=>[4,2,3,1,5,7,6]=>{{1,4},{2},{3},{5},{6,7}}=>{{1,7},{2,5},{3},{4},{6}}=>7
[5,3,4,2,6,7,1]=>[4,2,3,1,5,6,7]=>{{1,4},{2},{3},{5},{6},{7}}=>{{1},{2,5},{3},{4},{6},{7}}=>1
[5,3,4,2,7,1,6]=>[4,2,3,1,7,5,6]=>{{1,4},{2},{3},{5,7},{6}}=>{{1,6},{2,5},{3},{4},{7}}=>6
[5,3,4,2,7,6,1]=>[4,2,3,1,6,5,7]=>{{1,4},{2},{3},{5,6},{7}}=>{{1},{2,5},{3},{4},{6,7}}=>1
[5,3,4,6,1,2,7]=>[6,2,3,1,4,7,5]=>{{1,6,7},{2},{3},{4},{5}}=>{{1,2,7},{3},{4},{5},{6}}=>7
[5,3,4,6,1,7,2]=>[7,2,3,1,4,6,5]=>{{1,7},{2},{3},{4},{5},{6}}=>{{1,2},{3},{4},{5},{6},{7}}=>2
[5,3,4,6,2,1,7]=>[5,2,3,1,4,7,6]=>{{1,5},{2},{3},{4},{6,7}}=>{{1,7},{2,6},{3},{4},{5}}=>7
[5,3,4,6,2,7,1]=>[5,2,3,1,4,6,7]=>{{1,5},{2},{3},{4},{6},{7}}=>{{1},{2,6},{3},{4},{5},{7}}=>1
[5,3,4,6,7,1,2]=>[7,2,3,1,4,5,6]=>{{1,7},{2},{3},{4},{5},{6}}=>{{1,2},{3},{4},{5},{6},{7}}=>2
[5,3,4,6,7,2,1]=>[6,2,3,1,4,5,7]=>{{1,6},{2},{3},{4},{5},{7}}=>{{1},{2,7},{3},{4},{5},{6}}=>1
[5,3,4,7,1,2,6]=>[6,2,3,1,7,4,5]=>{{1,6},{2},{3},{4},{5,7}}=>{{1,6},{2,7},{3},{4},{5}}=>6
[5,3,4,7,1,6,2]=>[7,2,3,1,6,4,5]=>{{1,7},{2},{3},{4},{5,6}}=>{{1,2},{3},{4},{5},{6,7}}=>2
[5,3,4,7,2,1,6]=>[5,2,3,1,7,4,6]=>{{1,5,7},{2},{3},{4},{6}}=>{{1,2,6},{3},{4},{5},{7}}=>6
[5,3,4,7,2,6,1]=>[5,2,3,1,6,4,7]=>{{1,5,6},{2},{3},{4},{7}}=>{{1},{2,6,7},{3},{4},{5}}=>1
[5,3,4,7,6,1,2]=>[7,2,3,1,5,4,6]=>{{1,7},{2},{3},{4},{5},{6}}=>{{1,2},{3},{4},{5},{6},{7}}=>2
[5,3,4,7,6,2,1]=>[6,2,3,1,5,4,7]=>{{1,6},{2},{3},{4},{5},{7}}=>{{1},{2,7},{3},{4},{5},{6}}=>1
[5,3,6,1,2,4,7]=>[5,2,6,1,3,7,4]=>{{1,5},{2},{3,6,7},{4}}=>{{1,4,7},{2,6},{3},{5}}=>7
[5,3,6,1,2,7,4]=>[5,2,7,1,3,6,4]=>{{1,5},{2},{3,7},{4},{6}}=>{{1,4},{2,6},{3},{5},{7}}=>4
[5,3,6,1,4,2,7]=>[6,2,5,1,3,7,4]=>{{1,6,7},{2},{3,5},{4}}=>{{1,2,7},{3},{4,6},{5}}=>7
[5,3,6,1,4,7,2]=>[7,2,5,1,3,6,4]=>{{1,7},{2},{3,5},{4},{6}}=>{{1,2},{3},{4,6},{5},{7}}=>2
[5,3,6,1,7,2,4]=>[6,2,7,1,3,5,4]=>{{1,6},{2},{3,7},{4},{5}}=>{{1,4},{2,7},{3},{5},{6}}=>4
[5,3,6,1,7,4,2]=>[7,2,6,1,3,5,4]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,2},{3},{4,7},{5},{6}}=>2
[5,3,6,2,1,4,7]=>[4,2,6,1,3,7,5]=>{{1,4},{2},{3,6,7},{5}}=>{{1,4,7},{2,5},{3},{6}}=>7
[5,3,6,2,1,7,4]=>[4,2,7,1,3,6,5]=>{{1,4},{2},{3,7},{5},{6}}=>{{1,4},{2,5},{3},{6},{7}}=>4
[5,3,6,2,4,1,7]=>[4,2,5,1,3,7,6]=>{{1,4},{2},{3,5},{6,7}}=>{{1,7},{2,5},{3},{4,6}}=>7
[5,3,6,2,4,7,1]=>[4,2,5,1,3,6,7]=>{{1,4},{2},{3,5},{6},{7}}=>{{1},{2,5},{3},{4,6},{7}}=>1
[5,3,6,2,7,1,4]=>[4,2,7,1,3,5,6]=>{{1,4},{2},{3,7},{5},{6}}=>{{1,4},{2,5},{3},{6},{7}}=>4
[5,3,6,2,7,4,1]=>[4,2,6,1,3,5,7]=>{{1,4},{2},{3,6},{5},{7}}=>{{1},{2,5},{3},{4,7},{6}}=>1
[5,3,6,4,1,2,7]=>[6,2,4,1,3,7,5]=>{{1,6,7},{2},{3,4},{5}}=>{{1,2,7},{3},{4,5},{6}}=>7
[5,3,6,4,1,7,2]=>[7,2,4,1,3,6,5]=>{{1,7},{2},{3,4},{5},{6}}=>{{1,2},{3},{4,5},{6},{7}}=>2
[5,3,6,4,2,1,7]=>[5,2,4,1,3,7,6]=>{{1,5},{2},{3,4},{6,7}}=>{{1,7},{2,6},{3},{4,5}}=>7
[5,3,6,4,2,7,1]=>[5,2,4,1,3,6,7]=>{{1,5},{2},{3,4},{6},{7}}=>{{1},{2,6},{3},{4,5},{7}}=>1
[5,3,6,4,7,1,2]=>[7,2,4,1,3,5,6]=>{{1,7},{2},{3,4},{5},{6}}=>{{1,2},{3},{4,5},{6},{7}}=>2
[5,3,6,4,7,2,1]=>[6,2,4,1,3,5,7]=>{{1,6},{2},{3,4},{5},{7}}=>{{1},{2,7},{3},{4,5},{6}}=>1
[5,3,6,7,1,2,4]=>[6,2,7,1,3,4,5]=>{{1,6},{2},{3,7},{4},{5}}=>{{1,4},{2,7},{3},{5},{6}}=>4
[5,3,6,7,1,4,2]=>[7,2,6,1,3,4,5]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,2},{3},{4,7},{5},{6}}=>2
[5,3,6,7,2,1,4]=>[5,2,7,1,3,4,6]=>{{1,5},{2},{3,7},{4},{6}}=>{{1,4},{2,6},{3},{5},{7}}=>4
[5,3,6,7,2,4,1]=>[5,2,6,1,3,4,7]=>{{1,5},{2},{3,6},{4},{7}}=>{{1},{2,6},{3},{4,7},{5}}=>1
[5,3,6,7,4,1,2]=>[7,2,5,1,3,4,6]=>{{1,7},{2},{3,5},{4},{6}}=>{{1,2},{3},{4,6},{5},{7}}=>2
[5,3,6,7,4,2,1]=>[6,2,5,1,3,4,7]=>{{1,6},{2},{3,5},{4},{7}}=>{{1},{2,7},{3},{4,6},{5}}=>1
[5,3,7,1,2,4,6]=>[5,2,6,1,7,3,4]=>{{1,5,7},{2},{3,6},{4}}=>{{1,2,6},{3},{4,7},{5}}=>6
[5,3,7,1,2,6,4]=>[5,2,7,1,6,3,4]=>{{1,5,6},{2},{3,7},{4}}=>{{1,4},{2,6,7},{3},{5}}=>4
[5,3,7,1,4,2,6]=>[6,2,5,1,7,3,4]=>{{1,6},{2},{3,5,7},{4}}=>{{1,4,6},{2,7},{3},{5}}=>6
[5,3,7,1,4,6,2]=>[7,2,5,1,6,3,4]=>{{1,7},{2},{3,5,6},{4}}=>{{1,2},{3},{4,6,7},{5}}=>2
[5,3,7,1,6,2,4]=>[6,2,7,1,5,3,4]=>{{1,6},{2},{3,7},{4},{5}}=>{{1,4},{2,7},{3},{5},{6}}=>4
[5,3,7,1,6,4,2]=>[7,2,6,1,5,3,4]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,2},{3},{4,7},{5},{6}}=>2
[5,3,7,2,1,4,6]=>[4,2,6,1,7,3,5]=>{{1,4},{2},{3,6},{5,7}}=>{{1,6},{2,5},{3},{4,7}}=>6
[5,3,7,2,1,6,4]=>[4,2,7,1,6,3,5]=>{{1,4},{2},{3,7},{5,6}}=>{{1,4},{2,5},{3},{6,7}}=>4
[5,3,7,2,4,1,6]=>[4,2,5,1,7,3,6]=>{{1,4},{2},{3,5,7},{6}}=>{{1,4,6},{2,5},{3},{7}}=>6
[5,3,7,2,4,6,1]=>[4,2,5,1,6,3,7]=>{{1,4},{2},{3,5,6},{7}}=>{{1},{2,5},{3},{4,6,7}}=>1
[5,3,7,2,6,1,4]=>[4,2,7,1,5,3,6]=>{{1,4},{2},{3,7},{5},{6}}=>{{1,4},{2,5},{3},{6},{7}}=>4
[5,3,7,2,6,4,1]=>[4,2,6,1,5,3,7]=>{{1,4},{2},{3,6},{5},{7}}=>{{1},{2,5},{3},{4,7},{6}}=>1
[5,3,7,4,1,2,6]=>[6,2,4,1,7,3,5]=>{{1,6},{2},{3,4},{5,7}}=>{{1,6},{2,7},{3},{4,5}}=>6
[5,3,7,4,1,6,2]=>[7,2,4,1,6,3,5]=>{{1,7},{2},{3,4},{5,6}}=>{{1,2},{3},{4,5},{6,7}}=>2
[5,3,7,4,2,1,6]=>[5,2,4,1,7,3,6]=>{{1,5,7},{2},{3,4},{6}}=>{{1,2,6},{3},{4,5},{7}}=>6
[5,3,7,4,2,6,1]=>[5,2,4,1,6,3,7]=>{{1,5,6},{2},{3,4},{7}}=>{{1},{2,6,7},{3},{4,5}}=>1
[5,3,7,4,6,1,2]=>[7,2,4,1,5,3,6]=>{{1,7},{2},{3,4},{5},{6}}=>{{1,2},{3},{4,5},{6},{7}}=>2
[5,3,7,4,6,2,1]=>[6,2,4,1,5,3,7]=>{{1,6},{2},{3,4},{5},{7}}=>{{1},{2,7},{3},{4,5},{6}}=>1
[5,3,7,6,1,2,4]=>[6,2,7,1,4,3,5]=>{{1,6},{2},{3,7},{4},{5}}=>{{1,4},{2,7},{3},{5},{6}}=>4
[5,3,7,6,1,4,2]=>[7,2,6,1,4,3,5]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,2},{3},{4,7},{5},{6}}=>2
[5,3,7,6,2,1,4]=>[5,2,7,1,4,3,6]=>{{1,5},{2},{3,7},{4},{6}}=>{{1,4},{2,6},{3},{5},{7}}=>4
[5,3,7,6,2,4,1]=>[5,2,6,1,4,3,7]=>{{1,5},{2},{3,6},{4},{7}}=>{{1},{2,6},{3},{4,7},{5}}=>1
[5,3,7,6,4,1,2]=>[7,2,5,1,4,3,6]=>{{1,7},{2},{3,5},{4},{6}}=>{{1,2},{3},{4,6},{5},{7}}=>2
[5,3,7,6,4,2,1]=>[6,2,5,1,4,3,7]=>{{1,6},{2},{3,5},{4},{7}}=>{{1},{2,7},{3},{4,6},{5}}=>1
[5,4,1,2,3,6,7]=>[4,5,2,1,6,7,3]=>{{1,4},{2,5,6,7},{3}}=>{{1,3,6,7},{2,5},{4}}=>7
[5,4,1,2,3,7,6]=>[4,5,2,1,7,6,3]=>{{1,4},{2,5,7},{3},{6}}=>{{1,3,6},{2,5},{4},{7}}=>6
[5,4,1,2,6,3,7]=>[4,6,2,1,5,7,3]=>{{1,4},{2,6,7},{3},{5}}=>{{1,3,7},{2,5},{4},{6}}=>7
[5,4,1,2,6,7,3]=>[4,7,2,1,5,6,3]=>{{1,4},{2,7},{3},{5},{6}}=>{{1,3},{2,5},{4},{6},{7}}=>3
[5,4,1,2,7,3,6]=>[4,6,2,1,7,5,3]=>{{1,4},{2,6},{3},{5,7}}=>{{1,6},{2,5},{3,7},{4}}=>6
[5,4,1,2,7,6,3]=>[4,7,2,1,6,5,3]=>{{1,4},{2,7},{3},{5,6}}=>{{1,3},{2,5},{4},{6,7}}=>3
[5,4,1,3,2,6,7]=>[5,4,2,1,6,7,3]=>{{1,5,6,7},{2,4},{3}}=>{{1,2,6,7},{3,5},{4}}=>7
[5,4,1,3,2,7,6]=>[5,4,2,1,7,6,3]=>{{1,5,7},{2,4},{3},{6}}=>{{1,2,6},{3,5},{4},{7}}=>6
[5,4,1,3,6,2,7]=>[6,4,2,1,5,7,3]=>{{1,6,7},{2,4},{3},{5}}=>{{1,2,7},{3,5},{4},{6}}=>7
[5,4,1,3,6,7,2]=>[7,4,2,1,5,6,3]=>{{1,7},{2,4},{3},{5},{6}}=>{{1,2},{3,5},{4},{6},{7}}=>2
[5,4,1,3,7,2,6]=>[6,4,2,1,7,5,3]=>{{1,6},{2,4},{3},{5,7}}=>{{1,6},{2,7},{3,5},{4}}=>6
[5,4,1,3,7,6,2]=>[7,4,2,1,6,5,3]=>{{1,7},{2,4},{3},{5,6}}=>{{1,2},{3,5},{4},{6,7}}=>2
[5,4,1,6,2,3,7]=>[5,6,2,1,4,7,3]=>{{1,5},{2,6,7},{3},{4}}=>{{1,3,7},{2,6},{4},{5}}=>7
[5,4,1,6,2,7,3]=>[5,7,2,1,4,6,3]=>{{1,5},{2,7},{3},{4},{6}}=>{{1,3},{2,6},{4},{5},{7}}=>3
[5,4,1,6,3,2,7]=>[6,5,2,1,4,7,3]=>{{1,6,7},{2,5},{3},{4}}=>{{1,2,7},{3,6},{4},{5}}=>7
[5,4,1,6,3,7,2]=>[7,5,2,1,4,6,3]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,2},{3,6},{4},{5},{7}}=>2
[5,4,1,6,7,2,3]=>[6,7,2,1,4,5,3]=>{{1,6},{2,7},{3},{4},{5}}=>{{1,3},{2,7},{4},{5},{6}}=>3
[5,4,1,6,7,3,2]=>[7,6,2,1,4,5,3]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,2},{3,7},{4},{5},{6}}=>2
[5,4,1,7,2,3,6]=>[5,6,2,1,7,4,3]=>{{1,5,7},{2,6},{3},{4}}=>{{1,2,6},{3,7},{4},{5}}=>6
[5,4,1,7,2,6,3]=>[5,7,2,1,6,4,3]=>{{1,5,6},{2,7},{3},{4}}=>{{1,3},{2,6,7},{4},{5}}=>3
[5,4,1,7,3,2,6]=>[6,5,2,1,7,4,3]=>{{1,6},{2,5,7},{3},{4}}=>{{1,3,6},{2,7},{4},{5}}=>6
[5,4,1,7,3,6,2]=>[7,5,2,1,6,4,3]=>{{1,7},{2,5,6},{3},{4}}=>{{1,2},{3,6,7},{4},{5}}=>2
[5,4,1,7,6,2,3]=>[6,7,2,1,5,4,3]=>{{1,6},{2,7},{3},{4},{5}}=>{{1,3},{2,7},{4},{5},{6}}=>3
[5,4,1,7,6,3,2]=>[7,6,2,1,5,4,3]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,2},{3,7},{4},{5},{6}}=>2
[5,4,2,1,3,6,7]=>[3,5,2,1,6,7,4]=>{{1,3},{2,5,6,7},{4}}=>{{1,3,6,7},{2,4},{5}}=>7
[5,4,2,1,3,7,6]=>[3,5,2,1,7,6,4]=>{{1,3},{2,5,7},{4},{6}}=>{{1,3,6},{2,4},{5},{7}}=>6
[5,4,2,1,6,3,7]=>[3,6,2,1,5,7,4]=>{{1,3},{2,6,7},{4},{5}}=>{{1,3,7},{2,4},{5},{6}}=>7
[5,4,2,1,6,7,3]=>[3,7,2,1,5,6,4]=>{{1,3},{2,7},{4},{5},{6}}=>{{1,3},{2,4},{5},{6},{7}}=>3
[5,4,2,1,7,3,6]=>[3,6,2,1,7,5,4]=>{{1,3},{2,6},{4},{5,7}}=>{{1,6},{2,4},{3,7},{5}}=>6
[5,4,2,1,7,6,3]=>[3,7,2,1,6,5,4]=>{{1,3},{2,7},{4},{5,6}}=>{{1,3},{2,4},{5},{6,7}}=>3
[5,4,2,3,1,6,7]=>[3,4,2,1,6,7,5]=>{{1,3},{2,4},{5,6,7}}=>{{1,6,7},{2,4},{3,5}}=>7
[5,4,2,3,1,7,6]=>[3,4,2,1,7,6,5]=>{{1,3},{2,4},{5,7},{6}}=>{{1,6},{2,4},{3,5},{7}}=>6
[5,4,2,3,6,1,7]=>[3,4,2,1,5,7,6]=>{{1,3},{2,4},{5},{6,7}}=>{{1,7},{2,4},{3,5},{6}}=>7
[5,4,2,3,6,7,1]=>[3,4,2,1,5,6,7]=>{{1,3},{2,4},{5},{6},{7}}=>{{1},{2,4},{3,5},{6},{7}}=>1
[5,4,2,3,7,1,6]=>[3,4,2,1,7,5,6]=>{{1,3},{2,4},{5,7},{6}}=>{{1,6},{2,4},{3,5},{7}}=>6
[5,4,2,3,7,6,1]=>[3,4,2,1,6,5,7]=>{{1,3},{2,4},{5,6},{7}}=>{{1},{2,4},{3,5},{6,7}}=>1
[5,4,2,6,1,3,7]=>[3,6,2,1,4,7,5]=>{{1,3},{2,6,7},{4},{5}}=>{{1,3,7},{2,4},{5},{6}}=>7
[5,4,2,6,1,7,3]=>[3,7,2,1,4,6,5]=>{{1,3},{2,7},{4},{5},{6}}=>{{1,3},{2,4},{5},{6},{7}}=>3
[5,4,2,6,3,1,7]=>[3,5,2,1,4,7,6]=>{{1,3},{2,5},{4},{6,7}}=>{{1,7},{2,4},{3,6},{5}}=>7
[5,4,2,6,3,7,1]=>[3,5,2,1,4,6,7]=>{{1,3},{2,5},{4},{6},{7}}=>{{1},{2,4},{3,6},{5},{7}}=>1
[5,4,2,6,7,1,3]=>[3,7,2,1,4,5,6]=>{{1,3},{2,7},{4},{5},{6}}=>{{1,3},{2,4},{5},{6},{7}}=>3
[5,4,2,6,7,3,1]=>[3,6,2,1,4,5,7]=>{{1,3},{2,6},{4},{5},{7}}=>{{1},{2,4},{3,7},{5},{6}}=>1
[5,4,2,7,1,3,6]=>[3,6,2,1,7,4,5]=>{{1,3},{2,6},{4},{5,7}}=>{{1,6},{2,4},{3,7},{5}}=>6
[5,4,2,7,1,6,3]=>[3,7,2,1,6,4,5]=>{{1,3},{2,7},{4},{5,6}}=>{{1,3},{2,4},{5},{6,7}}=>3
[5,4,2,7,3,1,6]=>[3,5,2,1,7,4,6]=>{{1,3},{2,5,7},{4},{6}}=>{{1,3,6},{2,4},{5},{7}}=>6
[5,4,2,7,3,6,1]=>[3,5,2,1,6,4,7]=>{{1,3},{2,5,6},{4},{7}}=>{{1},{2,4},{3,6,7},{5}}=>1
[5,4,2,7,6,1,3]=>[3,7,2,1,5,4,6]=>{{1,3},{2,7},{4},{5},{6}}=>{{1,3},{2,4},{5},{6},{7}}=>3
[5,4,2,7,6,3,1]=>[3,6,2,1,5,4,7]=>{{1,3},{2,6},{4},{5},{7}}=>{{1},{2,4},{3,7},{5},{6}}=>1
[5,4,3,1,2,6,7]=>[5,3,2,1,6,7,4]=>{{1,5,6,7},{2,3},{4}}=>{{1,2,6,7},{3,4},{5}}=>7
[5,4,3,1,2,7,6]=>[5,3,2,1,7,6,4]=>{{1,5,7},{2,3},{4},{6}}=>{{1,2,6},{3,4},{5},{7}}=>6
[5,4,3,1,6,2,7]=>[6,3,2,1,5,7,4]=>{{1,6,7},{2,3},{4},{5}}=>{{1,2,7},{3,4},{5},{6}}=>7
[5,4,3,1,6,7,2]=>[7,3,2,1,5,6,4]=>{{1,7},{2,3},{4},{5},{6}}=>{{1,2},{3,4},{5},{6},{7}}=>2
[5,4,3,1,7,2,6]=>[6,3,2,1,7,5,4]=>{{1,6},{2,3},{4},{5,7}}=>{{1,6},{2,7},{3,4},{5}}=>6
[5,4,3,1,7,6,2]=>[7,3,2,1,6,5,4]=>{{1,7},{2,3},{4},{5,6}}=>{{1,2},{3,4},{5},{6,7}}=>2
[5,4,3,2,1,6,7]=>[4,3,2,1,6,7,5]=>{{1,4},{2,3},{5,6,7}}=>{{1,6,7},{2,5},{3,4}}=>7
[5,4,3,2,1,7,6]=>[4,3,2,1,7,6,5]=>{{1,4},{2,3},{5,7},{6}}=>{{1,6},{2,5},{3,4},{7}}=>6
[5,4,3,2,6,1,7]=>[4,3,2,1,5,7,6]=>{{1,4},{2,3},{5},{6,7}}=>{{1,7},{2,5},{3,4},{6}}=>7
[5,4,3,2,6,7,1]=>[4,3,2,1,5,6,7]=>{{1,4},{2,3},{5},{6},{7}}=>{{1},{2,5},{3,4},{6},{7}}=>1
[5,4,3,2,7,1,6]=>[4,3,2,1,7,5,6]=>{{1,4},{2,3},{5,7},{6}}=>{{1,6},{2,5},{3,4},{7}}=>6
[5,4,3,2,7,6,1]=>[4,3,2,1,6,5,7]=>{{1,4},{2,3},{5,6},{7}}=>{{1},{2,5},{3,4},{6,7}}=>1
[5,4,3,6,1,2,7]=>[6,3,2,1,4,7,5]=>{{1,6,7},{2,3},{4},{5}}=>{{1,2,7},{3,4},{5},{6}}=>7
[5,4,3,6,1,7,2]=>[7,3,2,1,4,6,5]=>{{1,7},{2,3},{4},{5},{6}}=>{{1,2},{3,4},{5},{6},{7}}=>2
[5,4,3,6,2,1,7]=>[5,3,2,1,4,7,6]=>{{1,5},{2,3},{4},{6,7}}=>{{1,7},{2,6},{3,4},{5}}=>7
[5,4,3,6,2,7,1]=>[5,3,2,1,4,6,7]=>{{1,5},{2,3},{4},{6},{7}}=>{{1},{2,6},{3,4},{5},{7}}=>1
[5,4,3,6,7,1,2]=>[7,3,2,1,4,5,6]=>{{1,7},{2,3},{4},{5},{6}}=>{{1,2},{3,4},{5},{6},{7}}=>2
[5,4,3,6,7,2,1]=>[6,3,2,1,4,5,7]=>{{1,6},{2,3},{4},{5},{7}}=>{{1},{2,7},{3,4},{5},{6}}=>1
[5,4,3,7,1,2,6]=>[6,3,2,1,7,4,5]=>{{1,6},{2,3},{4},{5,7}}=>{{1,6},{2,7},{3,4},{5}}=>6
[5,4,3,7,1,6,2]=>[7,3,2,1,6,4,5]=>{{1,7},{2,3},{4},{5,6}}=>{{1,2},{3,4},{5},{6,7}}=>2
[5,4,3,7,2,1,6]=>[5,3,2,1,7,4,6]=>{{1,5,7},{2,3},{4},{6}}=>{{1,2,6},{3,4},{5},{7}}=>6
[5,4,3,7,2,6,1]=>[5,3,2,1,6,4,7]=>{{1,5,6},{2,3},{4},{7}}=>{{1},{2,6,7},{3,4},{5}}=>1
[5,4,3,7,6,1,2]=>[7,3,2,1,5,4,6]=>{{1,7},{2,3},{4},{5},{6}}=>{{1,2},{3,4},{5},{6},{7}}=>2
[5,4,3,7,6,2,1]=>[6,3,2,1,5,4,7]=>{{1,6},{2,3},{4},{5},{7}}=>{{1},{2,7},{3,4},{5},{6}}=>1
[5,4,6,1,2,3,7]=>[5,6,2,1,3,7,4]=>{{1,5},{2,6,7},{3},{4}}=>{{1,3,7},{2,6},{4},{5}}=>7
[5,4,6,1,2,7,3]=>[5,7,2,1,3,6,4]=>{{1,5},{2,7},{3},{4},{6}}=>{{1,3},{2,6},{4},{5},{7}}=>3
[5,4,6,1,3,2,7]=>[6,5,2,1,3,7,4]=>{{1,6,7},{2,5},{3},{4}}=>{{1,2,7},{3,6},{4},{5}}=>7
[5,4,6,1,3,7,2]=>[7,5,2,1,3,6,4]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,2},{3,6},{4},{5},{7}}=>2
[5,4,6,1,7,2,3]=>[6,7,2,1,3,5,4]=>{{1,6},{2,7},{3},{4},{5}}=>{{1,3},{2,7},{4},{5},{6}}=>3
[5,4,6,1,7,3,2]=>[7,6,2,1,3,5,4]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,2},{3,7},{4},{5},{6}}=>2
[5,4,6,2,1,3,7]=>[4,6,2,1,3,7,5]=>{{1,4},{2,6,7},{3},{5}}=>{{1,3,7},{2,5},{4},{6}}=>7
[5,4,6,2,1,7,3]=>[4,7,2,1,3,6,5]=>{{1,4},{2,7},{3},{5},{6}}=>{{1,3},{2,5},{4},{6},{7}}=>3
[5,4,6,2,3,1,7]=>[4,5,2,1,3,7,6]=>{{1,4},{2,5},{3},{6,7}}=>{{1,7},{2,5},{3,6},{4}}=>7
[5,4,6,2,3,7,1]=>[4,5,2,1,3,6,7]=>{{1,4},{2,5},{3},{6},{7}}=>{{1},{2,5},{3,6},{4},{7}}=>1
[5,4,6,2,7,1,3]=>[4,7,2,1,3,5,6]=>{{1,4},{2,7},{3},{5},{6}}=>{{1,3},{2,5},{4},{6},{7}}=>3
[5,4,6,2,7,3,1]=>[4,6,2,1,3,5,7]=>{{1,4},{2,6},{3},{5},{7}}=>{{1},{2,5},{3,7},{4},{6}}=>1
[5,4,6,3,1,2,7]=>[6,4,2,1,3,7,5]=>{{1,6,7},{2,4},{3},{5}}=>{{1,2,7},{3,5},{4},{6}}=>7
[5,4,6,3,1,7,2]=>[7,4,2,1,3,6,5]=>{{1,7},{2,4},{3},{5},{6}}=>{{1,2},{3,5},{4},{6},{7}}=>2
[5,4,6,3,2,1,7]=>[5,4,2,1,3,7,6]=>{{1,5},{2,4},{3},{6,7}}=>{{1,7},{2,6},{3,5},{4}}=>7
[5,4,6,3,2,7,1]=>[5,4,2,1,3,6,7]=>{{1,5},{2,4},{3},{6},{7}}=>{{1},{2,6},{3,5},{4},{7}}=>1
[5,4,6,3,7,1,2]=>[7,4,2,1,3,5,6]=>{{1,7},{2,4},{3},{5},{6}}=>{{1,2},{3,5},{4},{6},{7}}=>2
[5,4,6,3,7,2,1]=>[6,4,2,1,3,5,7]=>{{1,6},{2,4},{3},{5},{7}}=>{{1},{2,7},{3,5},{4},{6}}=>1
[5,4,6,7,1,2,3]=>[6,7,2,1,3,4,5]=>{{1,6},{2,7},{3},{4},{5}}=>{{1,3},{2,7},{4},{5},{6}}=>3
[5,4,6,7,1,3,2]=>[7,6,2,1,3,4,5]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,2},{3,7},{4},{5},{6}}=>2
[5,4,6,7,2,1,3]=>[5,7,2,1,3,4,6]=>{{1,5},{2,7},{3},{4},{6}}=>{{1,3},{2,6},{4},{5},{7}}=>3
[5,4,6,7,2,3,1]=>[5,6,2,1,3,4,7]=>{{1,5},{2,6},{3},{4},{7}}=>{{1},{2,6},{3,7},{4},{5}}=>1
[5,4,6,7,3,1,2]=>[7,5,2,1,3,4,6]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,2},{3,6},{4},{5},{7}}=>2
[5,4,6,7,3,2,1]=>[6,5,2,1,3,4,7]=>{{1,6},{2,5},{3},{4},{7}}=>{{1},{2,7},{3,6},{4},{5}}=>1
[5,4,7,1,2,3,6]=>[5,6,2,1,7,3,4]=>{{1,5,7},{2,6},{3},{4}}=>{{1,2,6},{3,7},{4},{5}}=>6
[5,4,7,1,2,6,3]=>[5,7,2,1,6,3,4]=>{{1,5,6},{2,7},{3},{4}}=>{{1,3},{2,6,7},{4},{5}}=>3
[5,4,7,1,3,2,6]=>[6,5,2,1,7,3,4]=>{{1,6},{2,5,7},{3},{4}}=>{{1,3,6},{2,7},{4},{5}}=>6
[5,4,7,1,3,6,2]=>[7,5,2,1,6,3,4]=>{{1,7},{2,5,6},{3},{4}}=>{{1,2},{3,6,7},{4},{5}}=>2
[5,4,7,1,6,2,3]=>[6,7,2,1,5,3,4]=>{{1,6},{2,7},{3},{4},{5}}=>{{1,3},{2,7},{4},{5},{6}}=>3
[5,4,7,1,6,3,2]=>[7,6,2,1,5,3,4]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,2},{3,7},{4},{5},{6}}=>2
[5,4,7,2,1,3,6]=>[4,6,2,1,7,3,5]=>{{1,4},{2,6},{3},{5,7}}=>{{1,6},{2,5},{3,7},{4}}=>6
[5,4,7,2,1,6,3]=>[4,7,2,1,6,3,5]=>{{1,4},{2,7},{3},{5,6}}=>{{1,3},{2,5},{4},{6,7}}=>3
[5,4,7,2,3,1,6]=>[4,5,2,1,7,3,6]=>{{1,4},{2,5,7},{3},{6}}=>{{1,3,6},{2,5},{4},{7}}=>6
[5,4,7,2,3,6,1]=>[4,5,2,1,6,3,7]=>{{1,4},{2,5,6},{3},{7}}=>{{1},{2,5},{3,6,7},{4}}=>1
[5,4,7,2,6,1,3]=>[4,7,2,1,5,3,6]=>{{1,4},{2,7},{3},{5},{6}}=>{{1,3},{2,5},{4},{6},{7}}=>3
[5,4,7,2,6,3,1]=>[4,6,2,1,5,3,7]=>{{1,4},{2,6},{3},{5},{7}}=>{{1},{2,5},{3,7},{4},{6}}=>1
[5,4,7,3,1,2,6]=>[6,4,2,1,7,3,5]=>{{1,6},{2,4},{3},{5,7}}=>{{1,6},{2,7},{3,5},{4}}=>6
[5,4,7,3,1,6,2]=>[7,4,2,1,6,3,5]=>{{1,7},{2,4},{3},{5,6}}=>{{1,2},{3,5},{4},{6,7}}=>2
[5,4,7,3,2,1,6]=>[5,4,2,1,7,3,6]=>{{1,5,7},{2,4},{3},{6}}=>{{1,2,6},{3,5},{4},{7}}=>6
[5,4,7,3,2,6,1]=>[5,4,2,1,6,3,7]=>{{1,5,6},{2,4},{3},{7}}=>{{1},{2,6,7},{3,5},{4}}=>1
[5,4,7,3,6,1,2]=>[7,4,2,1,5,3,6]=>{{1,7},{2,4},{3},{5},{6}}=>{{1,2},{3,5},{4},{6},{7}}=>2
[5,4,7,3,6,2,1]=>[6,4,2,1,5,3,7]=>{{1,6},{2,4},{3},{5},{7}}=>{{1},{2,7},{3,5},{4},{6}}=>1
[5,4,7,6,1,2,3]=>[6,7,2,1,4,3,5]=>{{1,6},{2,7},{3},{4},{5}}=>{{1,3},{2,7},{4},{5},{6}}=>3
[5,4,7,6,1,3,2]=>[7,6,2,1,4,3,5]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,2},{3,7},{4},{5},{6}}=>2
[5,4,7,6,2,1,3]=>[5,7,2,1,4,3,6]=>{{1,5},{2,7},{3},{4},{6}}=>{{1,3},{2,6},{4},{5},{7}}=>3
[5,4,7,6,2,3,1]=>[5,6,2,1,4,3,7]=>{{1,5},{2,6},{3},{4},{7}}=>{{1},{2,6},{3,7},{4},{5}}=>1
[5,4,7,6,3,1,2]=>[7,5,2,1,4,3,6]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,2},{3,6},{4},{5},{7}}=>2
[5,4,7,6,3,2,1]=>[6,5,2,1,4,3,7]=>{{1,6},{2,5},{3},{4},{7}}=>{{1},{2,7},{3,6},{4},{5}}=>1
[5,6,1,2,3,4,7]=>[4,5,6,1,2,7,3]=>{{1,4},{2,5},{3,6,7}}=>{{1,4,7},{2,5},{3,6}}=>7
[5,6,1,2,3,7,4]=>[4,5,7,1,2,6,3]=>{{1,4},{2,5},{3,7},{6}}=>{{1,4},{2,5},{3,6},{7}}=>4
[5,6,1,2,4,3,7]=>[4,6,5,1,2,7,3]=>{{1,4},{2,6,7},{3,5}}=>{{1,3,7},{2,5},{4,6}}=>7
[5,6,1,2,4,7,3]=>[4,7,5,1,2,6,3]=>{{1,4},{2,7},{3,5},{6}}=>{{1,3},{2,5},{4,6},{7}}=>3
[5,6,1,2,7,3,4]=>[4,6,7,1,2,5,3]=>{{1,4},{2,6},{3,7},{5}}=>{{1,4},{2,5},{3,7},{6}}=>4
[5,6,1,2,7,4,3]=>[4,7,6,1,2,5,3]=>{{1,4},{2,7},{3,6},{5}}=>{{1,3},{2,5},{4,7},{6}}=>3
[5,6,1,3,2,4,7]=>[5,4,6,1,2,7,3]=>{{1,5},{2,4},{3,6,7}}=>{{1,4,7},{2,6},{3,5}}=>7
[5,6,1,3,2,7,4]=>[5,4,7,1,2,6,3]=>{{1,5},{2,4},{3,7},{6}}=>{{1,4},{2,6},{3,5},{7}}=>4
[5,6,1,3,4,2,7]=>[6,4,5,1,2,7,3]=>{{1,6,7},{2,4},{3,5}}=>{{1,2,7},{3,5},{4,6}}=>7
[5,6,1,3,4,7,2]=>[7,4,5,1,2,6,3]=>{{1,7},{2,4},{3,5},{6}}=>{{1,2},{3,5},{4,6},{7}}=>2
[5,6,1,3,7,2,4]=>[6,4,7,1,2,5,3]=>{{1,6},{2,4},{3,7},{5}}=>{{1,4},{2,7},{3,5},{6}}=>4
[5,6,1,3,7,4,2]=>[7,4,6,1,2,5,3]=>{{1,7},{2,4},{3,6},{5}}=>{{1,2},{3,5},{4,7},{6}}=>2
[5,6,1,4,2,3,7]=>[5,6,4,1,2,7,3]=>{{1,5},{2,6,7},{3,4}}=>{{1,3,7},{2,6},{4,5}}=>7
[5,6,1,4,2,7,3]=>[5,7,4,1,2,6,3]=>{{1,5},{2,7},{3,4},{6}}=>{{1,3},{2,6},{4,5},{7}}=>3
[5,6,1,4,3,2,7]=>[6,5,4,1,2,7,3]=>{{1,6,7},{2,5},{3,4}}=>{{1,2,7},{3,6},{4,5}}=>7
[5,6,1,4,3,7,2]=>[7,5,4,1,2,6,3]=>{{1,7},{2,5},{3,4},{6}}=>{{1,2},{3,6},{4,5},{7}}=>2
[5,6,1,4,7,2,3]=>[6,7,4,1,2,5,3]=>{{1,6},{2,7},{3,4},{5}}=>{{1,3},{2,7},{4,5},{6}}=>3
[5,6,1,4,7,3,2]=>[7,6,4,1,2,5,3]=>{{1,7},{2,6},{3,4},{5}}=>{{1,2},{3,7},{4,5},{6}}=>2
[5,6,1,7,2,3,4]=>[5,6,7,1,2,4,3]=>{{1,5},{2,6},{3,7},{4}}=>{{1,4},{2,6},{3,7},{5}}=>4
[5,6,1,7,2,4,3]=>[5,7,6,1,2,4,3]=>{{1,5},{2,7},{3,6},{4}}=>{{1,3},{2,6},{4,7},{5}}=>3
[5,6,1,7,3,2,4]=>[6,5,7,1,2,4,3]=>{{1,6},{2,5},{3,7},{4}}=>{{1,4},{2,7},{3,6},{5}}=>4
[5,6,1,7,3,4,2]=>[7,5,6,1,2,4,3]=>{{1,7},{2,5},{3,6},{4}}=>{{1,2},{3,6},{4,7},{5}}=>2
[5,6,1,7,4,2,3]=>[6,7,5,1,2,4,3]=>{{1,6},{2,7},{3,5},{4}}=>{{1,3},{2,7},{4,6},{5}}=>3
[5,6,1,7,4,3,2]=>[7,6,5,1,2,4,3]=>{{1,7},{2,6},{3,5},{4}}=>{{1,2},{3,7},{4,6},{5}}=>2
[5,6,2,1,3,4,7]=>[3,5,6,1,2,7,4]=>{{1,3,6,7},{2,5},{4}}=>{{1,2,4,7},{3,6},{5}}=>7
[5,6,2,1,3,7,4]=>[3,5,7,1,2,6,4]=>{{1,3,7},{2,5},{4},{6}}=>{{1,2,4},{3,6},{5},{7}}=>4
[5,6,2,1,4,3,7]=>[3,6,5,1,2,7,4]=>{{1,3,5},{2,6,7},{4}}=>{{1,3,7},{2,4,6},{5}}=>7
[5,6,2,1,4,7,3]=>[3,7,5,1,2,6,4]=>{{1,3,5},{2,7},{4},{6}}=>{{1,3},{2,4,6},{5},{7}}=>3
[5,6,2,1,7,3,4]=>[3,6,7,1,2,5,4]=>{{1,3,7},{2,6},{4},{5}}=>{{1,2,4},{3,7},{5},{6}}=>4
[5,6,2,1,7,4,3]=>[3,7,6,1,2,5,4]=>{{1,3,6},{2,7},{4},{5}}=>{{1,3},{2,4,7},{5},{6}}=>3
[5,6,2,3,1,4,7]=>[3,4,6,1,2,7,5]=>{{1,3,6,7},{2,4},{5}}=>{{1,2,4,7},{3,5},{6}}=>7
[5,6,2,3,1,7,4]=>[3,4,7,1,2,6,5]=>{{1,3,7},{2,4},{5},{6}}=>{{1,2,4},{3,5},{6},{7}}=>4
[5,6,2,3,4,1,7]=>[3,4,5,1,2,7,6]=>{{1,3,5},{2,4},{6,7}}=>{{1,7},{2,4,6},{3,5}}=>7
[5,6,2,3,4,7,1]=>[3,4,5,1,2,6,7]=>{{1,3,5},{2,4},{6},{7}}=>{{1},{2,4,6},{3,5},{7}}=>1
[5,6,2,3,7,1,4]=>[3,4,7,1,2,5,6]=>{{1,3,7},{2,4},{5},{6}}=>{{1,2,4},{3,5},{6},{7}}=>4
[5,6,2,3,7,4,1]=>[3,4,6,1,2,5,7]=>{{1,3,6},{2,4},{5},{7}}=>{{1},{2,4,7},{3,5},{6}}=>1
[5,6,2,4,1,3,7]=>[3,6,4,1,2,7,5]=>{{1,3,4},{2,6,7},{5}}=>{{1,3,7},{2,4,5},{6}}=>7
[5,6,2,4,1,7,3]=>[3,7,4,1,2,6,5]=>{{1,3,4},{2,7},{5},{6}}=>{{1,3},{2,4,5},{6},{7}}=>3
[5,6,2,4,3,1,7]=>[3,5,4,1,2,7,6]=>{{1,3,4},{2,5},{6,7}}=>{{1,7},{2,4,5},{3,6}}=>7
[5,6,2,4,3,7,1]=>[3,5,4,1,2,6,7]=>{{1,3,4},{2,5},{6},{7}}=>{{1},{2,4,5},{3,6},{7}}=>1
[5,6,2,4,7,1,3]=>[3,7,4,1,2,5,6]=>{{1,3,4},{2,7},{5},{6}}=>{{1,3},{2,4,5},{6},{7}}=>3
[5,6,2,4,7,3,1]=>[3,6,4,1,2,5,7]=>{{1,3,4},{2,6},{5},{7}}=>{{1},{2,4,5},{3,7},{6}}=>1
[5,6,2,7,1,3,4]=>[3,6,7,1,2,4,5]=>{{1,3,7},{2,6},{4},{5}}=>{{1,2,4},{3,7},{5},{6}}=>4
[5,6,2,7,1,4,3]=>[3,7,6,1,2,4,5]=>{{1,3,6},{2,7},{4},{5}}=>{{1,3},{2,4,7},{5},{6}}=>3
[5,6,2,7,3,1,4]=>[3,5,7,1,2,4,6]=>{{1,3,7},{2,5},{4},{6}}=>{{1,2,4},{3,6},{5},{7}}=>4
[5,6,2,7,3,4,1]=>[3,5,6,1,2,4,7]=>{{1,3,6},{2,5},{4},{7}}=>{{1},{2,4,7},{3,6},{5}}=>1
[5,6,2,7,4,1,3]=>[3,7,5,1,2,4,6]=>{{1,3,5},{2,7},{4},{6}}=>{{1,3},{2,4,6},{5},{7}}=>3
[5,6,2,7,4,3,1]=>[3,6,5,1,2,4,7]=>{{1,3,5},{2,6},{4},{7}}=>{{1},{2,4,6},{3,7},{5}}=>1
[5,6,3,1,2,4,7]=>[5,3,6,1,2,7,4]=>{{1,5},{2,3,6,7},{4}}=>{{1,3,4,7},{2,6},{5}}=>7
[5,6,3,1,2,7,4]=>[5,3,7,1,2,6,4]=>{{1,5},{2,3,7},{4},{6}}=>{{1,3,4},{2,6},{5},{7}}=>4
[5,6,3,1,4,2,7]=>[6,3,5,1,2,7,4]=>{{1,6,7},{2,3,5},{4}}=>{{1,2,7},{3,4,6},{5}}=>7
[5,6,3,1,4,7,2]=>[7,3,5,1,2,6,4]=>{{1,7},{2,3,5},{4},{6}}=>{{1,2},{3,4,6},{5},{7}}=>2
[5,6,3,1,7,2,4]=>[6,3,7,1,2,5,4]=>{{1,6},{2,3,7},{4},{5}}=>{{1,3,4},{2,7},{5},{6}}=>4
[5,6,3,1,7,4,2]=>[7,3,6,1,2,5,4]=>{{1,7},{2,3,6},{4},{5}}=>{{1,2},{3,4,7},{5},{6}}=>2
[5,6,3,2,1,4,7]=>[4,3,6,1,2,7,5]=>{{1,4},{2,3,6,7},{5}}=>{{1,3,4,7},{2,5},{6}}=>7
[5,6,3,2,1,7,4]=>[4,3,7,1,2,6,5]=>{{1,4},{2,3,7},{5},{6}}=>{{1,3,4},{2,5},{6},{7}}=>4
[5,6,3,2,4,1,7]=>[4,3,5,1,2,7,6]=>{{1,4},{2,3,5},{6,7}}=>{{1,7},{2,5},{3,4,6}}=>7
[5,6,3,2,4,7,1]=>[4,3,5,1,2,6,7]=>{{1,4},{2,3,5},{6},{7}}=>{{1},{2,5},{3,4,6},{7}}=>1
[5,6,3,2,7,1,4]=>[4,3,7,1,2,5,6]=>{{1,4},{2,3,7},{5},{6}}=>{{1,3,4},{2,5},{6},{7}}=>4
[5,6,3,2,7,4,1]=>[4,3,6,1,2,5,7]=>{{1,4},{2,3,6},{5},{7}}=>{{1},{2,5},{3,4,7},{6}}=>1
[5,6,3,4,1,2,7]=>[6,3,4,1,2,7,5]=>{{1,6,7},{2,3,4},{5}}=>{{1,2,7},{3,4,5},{6}}=>7
[5,6,3,4,1,7,2]=>[7,3,4,1,2,6,5]=>{{1,7},{2,3,4},{5},{6}}=>{{1,2},{3,4,5},{6},{7}}=>2
[5,6,3,4,2,1,7]=>[5,3,4,1,2,7,6]=>{{1,5},{2,3,4},{6,7}}=>{{1,7},{2,6},{3,4,5}}=>7
[5,6,3,4,2,7,1]=>[5,3,4,1,2,6,7]=>{{1,5},{2,3,4},{6},{7}}=>{{1},{2,6},{3,4,5},{7}}=>1
[5,6,3,4,7,1,2]=>[7,3,4,1,2,5,6]=>{{1,7},{2,3,4},{5},{6}}=>{{1,2},{3,4,5},{6},{7}}=>2
[5,6,3,4,7,2,1]=>[6,3,4,1,2,5,7]=>{{1,6},{2,3,4},{5},{7}}=>{{1},{2,7},{3,4,5},{6}}=>1
[5,6,3,7,1,2,4]=>[6,3,7,1,2,4,5]=>{{1,6},{2,3,7},{4},{5}}=>{{1,3,4},{2,7},{5},{6}}=>4
[5,6,3,7,1,4,2]=>[7,3,6,1,2,4,5]=>{{1,7},{2,3,6},{4},{5}}=>{{1,2},{3,4,7},{5},{6}}=>2
[5,6,3,7,2,1,4]=>[5,3,7,1,2,4,6]=>{{1,5},{2,3,7},{4},{6}}=>{{1,3,4},{2,6},{5},{7}}=>4
[5,6,3,7,2,4,1]=>[5,3,6,1,2,4,7]=>{{1,5},{2,3,6},{4},{7}}=>{{1},{2,6},{3,4,7},{5}}=>1
[5,6,3,7,4,1,2]=>[7,3,5,1,2,4,6]=>{{1,7},{2,3,5},{4},{6}}=>{{1,2},{3,4,6},{5},{7}}=>2
[5,6,3,7,4,2,1]=>[6,3,5,1,2,4,7]=>{{1,6},{2,3,5},{4},{7}}=>{{1},{2,7},{3,4,6},{5}}=>1
[5,6,4,1,2,3,7]=>[5,6,3,1,2,7,4]=>{{1,5},{2,6,7},{3},{4}}=>{{1,3,7},{2,6},{4},{5}}=>7
[5,6,4,1,2,7,3]=>[5,7,3,1,2,6,4]=>{{1,5},{2,7},{3},{4},{6}}=>{{1,3},{2,6},{4},{5},{7}}=>3
[5,6,4,1,3,2,7]=>[6,5,3,1,2,7,4]=>{{1,6,7},{2,5},{3},{4}}=>{{1,2,7},{3,6},{4},{5}}=>7
[5,6,4,1,3,7,2]=>[7,5,3,1,2,6,4]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,2},{3,6},{4},{5},{7}}=>2
[5,6,4,1,7,2,3]=>[6,7,3,1,2,5,4]=>{{1,6},{2,7},{3},{4},{5}}=>{{1,3},{2,7},{4},{5},{6}}=>3
[5,6,4,1,7,3,2]=>[7,6,3,1,2,5,4]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,2},{3,7},{4},{5},{6}}=>2
[5,6,4,2,1,3,7]=>[4,6,3,1,2,7,5]=>{{1,4},{2,6,7},{3},{5}}=>{{1,3,7},{2,5},{4},{6}}=>7
[5,6,4,2,1,7,3]=>[4,7,3,1,2,6,5]=>{{1,4},{2,7},{3},{5},{6}}=>{{1,3},{2,5},{4},{6},{7}}=>3
[5,6,4,2,3,1,7]=>[4,5,3,1,2,7,6]=>{{1,4},{2,5},{3},{6,7}}=>{{1,7},{2,5},{3,6},{4}}=>7
[5,6,4,2,3,7,1]=>[4,5,3,1,2,6,7]=>{{1,4},{2,5},{3},{6},{7}}=>{{1},{2,5},{3,6},{4},{7}}=>1
[5,6,4,2,7,1,3]=>[4,7,3,1,2,5,6]=>{{1,4},{2,7},{3},{5},{6}}=>{{1,3},{2,5},{4},{6},{7}}=>3
[5,6,4,2,7,3,1]=>[4,6,3,1,2,5,7]=>{{1,4},{2,6},{3},{5},{7}}=>{{1},{2,5},{3,7},{4},{6}}=>1
[5,6,4,3,1,2,7]=>[6,4,3,1,2,7,5]=>{{1,6,7},{2,4},{3},{5}}=>{{1,2,7},{3,5},{4},{6}}=>7
[5,6,4,3,1,7,2]=>[7,4,3,1,2,6,5]=>{{1,7},{2,4},{3},{5},{6}}=>{{1,2},{3,5},{4},{6},{7}}=>2
[5,6,4,3,2,1,7]=>[5,4,3,1,2,7,6]=>{{1,5},{2,4},{3},{6,7}}=>{{1,7},{2,6},{3,5},{4}}=>7
[5,6,4,3,2,7,1]=>[5,4,3,1,2,6,7]=>{{1,5},{2,4},{3},{6},{7}}=>{{1},{2,6},{3,5},{4},{7}}=>1
[5,6,4,3,7,1,2]=>[7,4,3,1,2,5,6]=>{{1,7},{2,4},{3},{5},{6}}=>{{1,2},{3,5},{4},{6},{7}}=>2
[5,6,4,3,7,2,1]=>[6,4,3,1,2,5,7]=>{{1,6},{2,4},{3},{5},{7}}=>{{1},{2,7},{3,5},{4},{6}}=>1
[5,6,4,7,1,2,3]=>[6,7,3,1,2,4,5]=>{{1,6},{2,7},{3},{4},{5}}=>{{1,3},{2,7},{4},{5},{6}}=>3
[5,6,4,7,1,3,2]=>[7,6,3,1,2,4,5]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,2},{3,7},{4},{5},{6}}=>2
[5,6,4,7,2,1,3]=>[5,7,3,1,2,4,6]=>{{1,5},{2,7},{3},{4},{6}}=>{{1,3},{2,6},{4},{5},{7}}=>3
[5,6,4,7,2,3,1]=>[5,6,3,1,2,4,7]=>{{1,5},{2,6},{3},{4},{7}}=>{{1},{2,6},{3,7},{4},{5}}=>1
[5,6,4,7,3,1,2]=>[7,5,3,1,2,4,6]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,2},{3,6},{4},{5},{7}}=>2
[5,6,4,7,3,2,1]=>[6,5,3,1,2,4,7]=>{{1,6},{2,5},{3},{4},{7}}=>{{1},{2,7},{3,6},{4},{5}}=>1
[5,6,7,1,2,3,4]=>[5,6,7,1,2,3,4]=>{{1,5},{2,6},{3,7},{4}}=>{{1,4},{2,6},{3,7},{5}}=>4
[5,6,7,1,2,4,3]=>[5,7,6,1,2,3,4]=>{{1,5},{2,7},{3,6},{4}}=>{{1,3},{2,6},{4,7},{5}}=>3
[5,6,7,1,3,2,4]=>[6,5,7,1,2,3,4]=>{{1,6},{2,5},{3,7},{4}}=>{{1,4},{2,7},{3,6},{5}}=>4
[5,6,7,1,3,4,2]=>[7,5,6,1,2,3,4]=>{{1,7},{2,5},{3,6},{4}}=>{{1,2},{3,6},{4,7},{5}}=>2
[5,6,7,1,4,2,3]=>[6,7,5,1,2,3,4]=>{{1,6},{2,7},{3,5},{4}}=>{{1,3},{2,7},{4,6},{5}}=>3
[5,6,7,1,4,3,2]=>[7,6,5,1,2,3,4]=>{{1,7},{2,6},{3,5},{4}}=>{{1,2},{3,7},{4,6},{5}}=>2
[5,6,7,2,1,3,4]=>[4,6,7,1,2,3,5]=>{{1,4},{2,6},{3,7},{5}}=>{{1,4},{2,5},{3,7},{6}}=>4
[5,6,7,2,1,4,3]=>[4,7,6,1,2,3,5]=>{{1,4},{2,7},{3,6},{5}}=>{{1,3},{2,5},{4,7},{6}}=>3
[5,6,7,2,3,1,4]=>[4,5,7,1,2,3,6]=>{{1,4},{2,5},{3,7},{6}}=>{{1,4},{2,5},{3,6},{7}}=>4
[5,6,7,2,3,4,1]=>[4,5,6,1,2,3,7]=>{{1,4},{2,5},{3,6},{7}}=>{{1},{2,5},{3,6},{4,7}}=>1
[5,6,7,2,4,1,3]=>[4,7,5,1,2,3,6]=>{{1,4},{2,7},{3,5},{6}}=>{{1,3},{2,5},{4,6},{7}}=>3
[5,6,7,2,4,3,1]=>[4,6,5,1,2,3,7]=>{{1,4},{2,6},{3,5},{7}}=>{{1},{2,5},{3,7},{4,6}}=>1
[5,6,7,3,1,2,4]=>[6,4,7,1,2,3,5]=>{{1,6},{2,4},{3,7},{5}}=>{{1,4},{2,7},{3,5},{6}}=>4
[5,6,7,3,1,4,2]=>[7,4,6,1,2,3,5]=>{{1,7},{2,4},{3,6},{5}}=>{{1,2},{3,5},{4,7},{6}}=>2
[5,6,7,3,2,1,4]=>[5,4,7,1,2,3,6]=>{{1,5},{2,4},{3,7},{6}}=>{{1,4},{2,6},{3,5},{7}}=>4
[5,6,7,3,2,4,1]=>[5,4,6,1,2,3,7]=>{{1,5},{2,4},{3,6},{7}}=>{{1},{2,6},{3,5},{4,7}}=>1
[5,6,7,3,4,1,2]=>[7,4,5,1,2,3,6]=>{{1,7},{2,4},{3,5},{6}}=>{{1,2},{3,5},{4,6},{7}}=>2
[5,6,7,3,4,2,1]=>[6,4,5,1,2,3,7]=>{{1,6},{2,4},{3,5},{7}}=>{{1},{2,7},{3,5},{4,6}}=>1
[5,6,7,4,1,2,3]=>[6,7,4,1,2,3,5]=>{{1,6},{2,7},{3,4},{5}}=>{{1,3},{2,7},{4,5},{6}}=>3
[5,6,7,4,1,3,2]=>[7,6,4,1,2,3,5]=>{{1,7},{2,6},{3,4},{5}}=>{{1,2},{3,7},{4,5},{6}}=>2
[5,6,7,4,2,1,3]=>[5,7,4,1,2,3,6]=>{{1,5},{2,7},{3,4},{6}}=>{{1,3},{2,6},{4,5},{7}}=>3
[5,6,7,4,2,3,1]=>[5,6,4,1,2,3,7]=>{{1,5},{2,6},{3,4},{7}}=>{{1},{2,6},{3,7},{4,5}}=>1
[5,6,7,4,3,1,2]=>[7,5,4,1,2,3,6]=>{{1,7},{2,5},{3,4},{6}}=>{{1,2},{3,6},{4,5},{7}}=>2
[5,6,7,4,3,2,1]=>[6,5,4,1,2,3,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1},{2,7},{3,6},{4,5}}=>1
[5,7,1,2,3,4,6]=>[4,5,6,1,7,2,3]=>{{1,4},{2,5,7},{3,6}}=>{{1,3,6},{2,5},{4,7}}=>6
[5,7,1,2,3,6,4]=>[4,5,7,1,6,2,3]=>{{1,4},{2,5,6},{3,7}}=>{{1,4},{2,5},{3,6,7}}=>4
[5,7,1,2,4,3,6]=>[4,6,5,1,7,2,3]=>{{1,4},{2,6},{3,5,7}}=>{{1,4,6},{2,5},{3,7}}=>6
[5,7,1,2,4,6,3]=>[4,7,5,1,6,2,3]=>{{1,4},{2,7},{3,5,6}}=>{{1,3},{2,5},{4,6,7}}=>3
[5,7,1,2,6,3,4]=>[4,6,7,1,5,2,3]=>{{1,4},{2,6},{3,7},{5}}=>{{1,4},{2,5},{3,7},{6}}=>4
[5,7,1,2,6,4,3]=>[4,7,6,1,5,2,3]=>{{1,4},{2,7},{3,6},{5}}=>{{1,3},{2,5},{4,7},{6}}=>3
[5,7,1,3,2,4,6]=>[5,4,6,1,7,2,3]=>{{1,5,7},{2,4},{3,6}}=>{{1,2,6},{3,5},{4,7}}=>6
[5,7,1,3,2,6,4]=>[5,4,7,1,6,2,3]=>{{1,5,6},{2,4},{3,7}}=>{{1,4},{2,6,7},{3,5}}=>4
[5,7,1,3,4,2,6]=>[6,4,5,1,7,2,3]=>{{1,6},{2,4},{3,5,7}}=>{{1,4,6},{2,7},{3,5}}=>6
[5,7,1,3,4,6,2]=>[7,4,5,1,6,2,3]=>{{1,7},{2,4},{3,5,6}}=>{{1,2},{3,5},{4,6,7}}=>2
[5,7,1,3,6,2,4]=>[6,4,7,1,5,2,3]=>{{1,6},{2,4},{3,7},{5}}=>{{1,4},{2,7},{3,5},{6}}=>4
[5,7,1,3,6,4,2]=>[7,4,6,1,5,2,3]=>{{1,7},{2,4},{3,6},{5}}=>{{1,2},{3,5},{4,7},{6}}=>2
[5,7,1,4,2,3,6]=>[5,6,4,1,7,2,3]=>{{1,5,7},{2,6},{3,4}}=>{{1,2,6},{3,7},{4,5}}=>6
[5,7,1,4,2,6,3]=>[5,7,4,1,6,2,3]=>{{1,5,6},{2,7},{3,4}}=>{{1,3},{2,6,7},{4,5}}=>3
[5,7,1,4,3,2,6]=>[6,5,4,1,7,2,3]=>{{1,6},{2,5,7},{3,4}}=>{{1,3,6},{2,7},{4,5}}=>6
[5,7,1,4,3,6,2]=>[7,5,4,1,6,2,3]=>{{1,7},{2,5,6},{3,4}}=>{{1,2},{3,6,7},{4,5}}=>2
[5,7,1,4,6,2,3]=>[6,7,4,1,5,2,3]=>{{1,6},{2,7},{3,4},{5}}=>{{1,3},{2,7},{4,5},{6}}=>3
[5,7,1,4,6,3,2]=>[7,6,4,1,5,2,3]=>{{1,7},{2,6},{3,4},{5}}=>{{1,2},{3,7},{4,5},{6}}=>2
[5,7,1,6,2,3,4]=>[5,6,7,1,4,2,3]=>{{1,5},{2,6},{3,7},{4}}=>{{1,4},{2,6},{3,7},{5}}=>4
[5,7,1,6,2,4,3]=>[5,7,6,1,4,2,3]=>{{1,5},{2,7},{3,6},{4}}=>{{1,3},{2,6},{4,7},{5}}=>3
[5,7,1,6,3,2,4]=>[6,5,7,1,4,2,3]=>{{1,6},{2,5},{3,7},{4}}=>{{1,4},{2,7},{3,6},{5}}=>4
[5,7,1,6,3,4,2]=>[7,5,6,1,4,2,3]=>{{1,7},{2,5},{3,6},{4}}=>{{1,2},{3,6},{4,7},{5}}=>2
[5,7,1,6,4,2,3]=>[6,7,5,1,4,2,3]=>{{1,6},{2,7},{3,5},{4}}=>{{1,3},{2,7},{4,6},{5}}=>3
[5,7,1,6,4,3,2]=>[7,6,5,1,4,2,3]=>{{1,7},{2,6},{3,5},{4}}=>{{1,2},{3,7},{4,6},{5}}=>2
[5,7,2,1,3,4,6]=>[3,5,6,1,7,2,4]=>{{1,3,6},{2,5,7},{4}}=>{{1,3,6},{2,4,7},{5}}=>6
[5,7,2,1,3,6,4]=>[3,5,7,1,6,2,4]=>{{1,3,7},{2,5,6},{4}}=>{{1,2,4},{3,6,7},{5}}=>4
[5,7,2,1,4,3,6]=>[3,6,5,1,7,2,4]=>{{1,3,5,7},{2,6},{4}}=>{{1,2,4,6},{3,7},{5}}=>6
[5,7,2,1,4,6,3]=>[3,7,5,1,6,2,4]=>{{1,3,5,6},{2,7},{4}}=>{{1,3},{2,4,6,7},{5}}=>3
[5,7,2,1,6,3,4]=>[3,6,7,1,5,2,4]=>{{1,3,7},{2,6},{4},{5}}=>{{1,2,4},{3,7},{5},{6}}=>4
[5,7,2,1,6,4,3]=>[3,7,6,1,5,2,4]=>{{1,3,6},{2,7},{4},{5}}=>{{1,3},{2,4,7},{5},{6}}=>3
[5,7,2,3,1,4,6]=>[3,4,6,1,7,2,5]=>{{1,3,6},{2,4},{5,7}}=>{{1,6},{2,4,7},{3,5}}=>6
[5,7,2,3,1,6,4]=>[3,4,7,1,6,2,5]=>{{1,3,7},{2,4},{5,6}}=>{{1,2,4},{3,5},{6,7}}=>4
[5,7,2,3,4,1,6]=>[3,4,5,1,7,2,6]=>{{1,3,5,7},{2,4},{6}}=>{{1,2,4,6},{3,5},{7}}=>6
[5,7,2,3,4,6,1]=>[3,4,5,1,6,2,7]=>{{1,3,5,6},{2,4},{7}}=>{{1},{2,4,6,7},{3,5}}=>1
[5,7,2,3,6,1,4]=>[3,4,7,1,5,2,6]=>{{1,3,7},{2,4},{5},{6}}=>{{1,2,4},{3,5},{6},{7}}=>4
[5,7,2,3,6,4,1]=>[3,4,6,1,5,2,7]=>{{1,3,6},{2,4},{5},{7}}=>{{1},{2,4,7},{3,5},{6}}=>1
[5,7,2,4,1,3,6]=>[3,6,4,1,7,2,5]=>{{1,3,4},{2,6},{5,7}}=>{{1,6},{2,4,5},{3,7}}=>6
[5,7,2,4,1,6,3]=>[3,7,4,1,6,2,5]=>{{1,3,4},{2,7},{5,6}}=>{{1,3},{2,4,5},{6,7}}=>3
[5,7,2,4,3,1,6]=>[3,5,4,1,7,2,6]=>{{1,3,4},{2,5,7},{6}}=>{{1,3,6},{2,4,5},{7}}=>6
[5,7,2,4,3,6,1]=>[3,5,4,1,6,2,7]=>{{1,3,4},{2,5,6},{7}}=>{{1},{2,4,5},{3,6,7}}=>1
[5,7,2,4,6,1,3]=>[3,7,4,1,5,2,6]=>{{1,3,4},{2,7},{5},{6}}=>{{1,3},{2,4,5},{6},{7}}=>3
[5,7,2,4,6,3,1]=>[3,6,4,1,5,2,7]=>{{1,3,4},{2,6},{5},{7}}=>{{1},{2,4,5},{3,7},{6}}=>1
[5,7,2,6,1,3,4]=>[3,6,7,1,4,2,5]=>{{1,3,7},{2,6},{4},{5}}=>{{1,2,4},{3,7},{5},{6}}=>4
[5,7,2,6,1,4,3]=>[3,7,6,1,4,2,5]=>{{1,3,6},{2,7},{4},{5}}=>{{1,3},{2,4,7},{5},{6}}=>3
[5,7,2,6,3,1,4]=>[3,5,7,1,4,2,6]=>{{1,3,7},{2,5},{4},{6}}=>{{1,2,4},{3,6},{5},{7}}=>4
[5,7,2,6,3,4,1]=>[3,5,6,1,4,2,7]=>{{1,3,6},{2,5},{4},{7}}=>{{1},{2,4,7},{3,6},{5}}=>1
[5,7,2,6,4,1,3]=>[3,7,5,1,4,2,6]=>{{1,3,5},{2,7},{4},{6}}=>{{1,3},{2,4,6},{5},{7}}=>3
[5,7,2,6,4,3,1]=>[3,6,5,1,4,2,7]=>{{1,3,5},{2,6},{4},{7}}=>{{1},{2,4,6},{3,7},{5}}=>1
[5,7,3,1,2,4,6]=>[5,3,6,1,7,2,4]=>{{1,5,7},{2,3,6},{4}}=>{{1,2,6},{3,4,7},{5}}=>6
[5,7,3,1,2,6,4]=>[5,3,7,1,6,2,4]=>{{1,5,6},{2,3,7},{4}}=>{{1,3,4},{2,6,7},{5}}=>4
[5,7,3,1,4,2,6]=>[6,3,5,1,7,2,4]=>{{1,6},{2,3,5,7},{4}}=>{{1,3,4,6},{2,7},{5}}=>6
[5,7,3,1,4,6,2]=>[7,3,5,1,6,2,4]=>{{1,7},{2,3,5,6},{4}}=>{{1,2},{3,4,6,7},{5}}=>2
[5,7,3,1,6,2,4]=>[6,3,7,1,5,2,4]=>{{1,6},{2,3,7},{4},{5}}=>{{1,3,4},{2,7},{5},{6}}=>4
[5,7,3,1,6,4,2]=>[7,3,6,1,5,2,4]=>{{1,7},{2,3,6},{4},{5}}=>{{1,2},{3,4,7},{5},{6}}=>2
[5,7,3,2,1,4,6]=>[4,3,6,1,7,2,5]=>{{1,4},{2,3,6},{5,7}}=>{{1,6},{2,5},{3,4,7}}=>6
[5,7,3,2,1,6,4]=>[4,3,7,1,6,2,5]=>{{1,4},{2,3,7},{5,6}}=>{{1,3,4},{2,5},{6,7}}=>4
[5,7,3,2,4,1,6]=>[4,3,5,1,7,2,6]=>{{1,4},{2,3,5,7},{6}}=>{{1,3,4,6},{2,5},{7}}=>6
[5,7,3,2,4,6,1]=>[4,3,5,1,6,2,7]=>{{1,4},{2,3,5,6},{7}}=>{{1},{2,5},{3,4,6,7}}=>1
[5,7,3,2,6,1,4]=>[4,3,7,1,5,2,6]=>{{1,4},{2,3,7},{5},{6}}=>{{1,3,4},{2,5},{6},{7}}=>4
[5,7,3,2,6,4,1]=>[4,3,6,1,5,2,7]=>{{1,4},{2,3,6},{5},{7}}=>{{1},{2,5},{3,4,7},{6}}=>1
[5,7,3,4,1,2,6]=>[6,3,4,1,7,2,5]=>{{1,6},{2,3,4},{5,7}}=>{{1,6},{2,7},{3,4,5}}=>6
[5,7,3,4,1,6,2]=>[7,3,4,1,6,2,5]=>{{1,7},{2,3,4},{5,6}}=>{{1,2},{3,4,5},{6,7}}=>2
[5,7,3,4,2,1,6]=>[5,3,4,1,7,2,6]=>{{1,5,7},{2,3,4},{6}}=>{{1,2,6},{3,4,5},{7}}=>6
[5,7,3,4,2,6,1]=>[5,3,4,1,6,2,7]=>{{1,5,6},{2,3,4},{7}}=>{{1},{2,6,7},{3,4,5}}=>1
[5,7,3,4,6,1,2]=>[7,3,4,1,5,2,6]=>{{1,7},{2,3,4},{5},{6}}=>{{1,2},{3,4,5},{6},{7}}=>2
[5,7,3,4,6,2,1]=>[6,3,4,1,5,2,7]=>{{1,6},{2,3,4},{5},{7}}=>{{1},{2,7},{3,4,5},{6}}=>1
[5,7,3,6,1,2,4]=>[6,3,7,1,4,2,5]=>{{1,6},{2,3,7},{4},{5}}=>{{1,3,4},{2,7},{5},{6}}=>4
[5,7,3,6,1,4,2]=>[7,3,6,1,4,2,5]=>{{1,7},{2,3,6},{4},{5}}=>{{1,2},{3,4,7},{5},{6}}=>2
[5,7,3,6,2,1,4]=>[5,3,7,1,4,2,6]=>{{1,5},{2,3,7},{4},{6}}=>{{1,3,4},{2,6},{5},{7}}=>4
[5,7,3,6,2,4,1]=>[5,3,6,1,4,2,7]=>{{1,5},{2,3,6},{4},{7}}=>{{1},{2,6},{3,4,7},{5}}=>1
[5,7,3,6,4,1,2]=>[7,3,5,1,4,2,6]=>{{1,7},{2,3,5},{4},{6}}=>{{1,2},{3,4,6},{5},{7}}=>2
[5,7,3,6,4,2,1]=>[6,3,5,1,4,2,7]=>{{1,6},{2,3,5},{4},{7}}=>{{1},{2,7},{3,4,6},{5}}=>1
[5,7,4,1,2,3,6]=>[5,6,3,1,7,2,4]=>{{1,5,7},{2,6},{3},{4}}=>{{1,2,6},{3,7},{4},{5}}=>6
[5,7,4,1,2,6,3]=>[5,7,3,1,6,2,4]=>{{1,5,6},{2,7},{3},{4}}=>{{1,3},{2,6,7},{4},{5}}=>3
[5,7,4,1,3,2,6]=>[6,5,3,1,7,2,4]=>{{1,6},{2,5,7},{3},{4}}=>{{1,3,6},{2,7},{4},{5}}=>6
[5,7,4,1,3,6,2]=>[7,5,3,1,6,2,4]=>{{1,7},{2,5,6},{3},{4}}=>{{1,2},{3,6,7},{4},{5}}=>2
[5,7,4,1,6,2,3]=>[6,7,3,1,5,2,4]=>{{1,6},{2,7},{3},{4},{5}}=>{{1,3},{2,7},{4},{5},{6}}=>3
[5,7,4,1,6,3,2]=>[7,6,3,1,5,2,4]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,2},{3,7},{4},{5},{6}}=>2
[5,7,4,2,1,3,6]=>[4,6,3,1,7,2,5]=>{{1,4},{2,6},{3},{5,7}}=>{{1,6},{2,5},{3,7},{4}}=>6
[5,7,4,2,1,6,3]=>[4,7,3,1,6,2,5]=>{{1,4},{2,7},{3},{5,6}}=>{{1,3},{2,5},{4},{6,7}}=>3
[5,7,4,2,3,1,6]=>[4,5,3,1,7,2,6]=>{{1,4},{2,5,7},{3},{6}}=>{{1,3,6},{2,5},{4},{7}}=>6
[5,7,4,2,3,6,1]=>[4,5,3,1,6,2,7]=>{{1,4},{2,5,6},{3},{7}}=>{{1},{2,5},{3,6,7},{4}}=>1
[5,7,4,2,6,1,3]=>[4,7,3,1,5,2,6]=>{{1,4},{2,7},{3},{5},{6}}=>{{1,3},{2,5},{4},{6},{7}}=>3
[5,7,4,2,6,3,1]=>[4,6,3,1,5,2,7]=>{{1,4},{2,6},{3},{5},{7}}=>{{1},{2,5},{3,7},{4},{6}}=>1
[5,7,4,3,1,2,6]=>[6,4,3,1,7,2,5]=>{{1,6},{2,4},{3},{5,7}}=>{{1,6},{2,7},{3,5},{4}}=>6
[5,7,4,3,1,6,2]=>[7,4,3,1,6,2,5]=>{{1,7},{2,4},{3},{5,6}}=>{{1,2},{3,5},{4},{6,7}}=>2
[5,7,4,3,2,1,6]=>[5,4,3,1,7,2,6]=>{{1,5,7},{2,4},{3},{6}}=>{{1,2,6},{3,5},{4},{7}}=>6
[5,7,4,3,2,6,1]=>[5,4,3,1,6,2,7]=>{{1,5,6},{2,4},{3},{7}}=>{{1},{2,6,7},{3,5},{4}}=>1
[5,7,4,3,6,1,2]=>[7,4,3,1,5,2,6]=>{{1,7},{2,4},{3},{5},{6}}=>{{1,2},{3,5},{4},{6},{7}}=>2
[5,7,4,3,6,2,1]=>[6,4,3,1,5,2,7]=>{{1,6},{2,4},{3},{5},{7}}=>{{1},{2,7},{3,5},{4},{6}}=>1
[5,7,4,6,1,2,3]=>[6,7,3,1,4,2,5]=>{{1,6},{2,7},{3},{4},{5}}=>{{1,3},{2,7},{4},{5},{6}}=>3
[5,7,4,6,1,3,2]=>[7,6,3,1,4,2,5]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,2},{3,7},{4},{5},{6}}=>2
[5,7,4,6,2,1,3]=>[5,7,3,1,4,2,6]=>{{1,5},{2,7},{3},{4},{6}}=>{{1,3},{2,6},{4},{5},{7}}=>3
[5,7,4,6,2,3,1]=>[5,6,3,1,4,2,7]=>{{1,5},{2,6},{3},{4},{7}}=>{{1},{2,6},{3,7},{4},{5}}=>1
[5,7,4,6,3,1,2]=>[7,5,3,1,4,2,6]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,2},{3,6},{4},{5},{7}}=>2
[5,7,4,6,3,2,1]=>[6,5,3,1,4,2,7]=>{{1,6},{2,5},{3},{4},{7}}=>{{1},{2,7},{3,6},{4},{5}}=>1
[5,7,6,1,2,3,4]=>[5,6,7,1,3,2,4]=>{{1,5},{2,6},{3,7},{4}}=>{{1,4},{2,6},{3,7},{5}}=>4
[5,7,6,1,2,4,3]=>[5,7,6,1,3,2,4]=>{{1,5},{2,7},{3,6},{4}}=>{{1,3},{2,6},{4,7},{5}}=>3
[5,7,6,1,3,2,4]=>[6,5,7,1,3,2,4]=>{{1,6},{2,5},{3,7},{4}}=>{{1,4},{2,7},{3,6},{5}}=>4
[5,7,6,1,3,4,2]=>[7,5,6,1,3,2,4]=>{{1,7},{2,5},{3,6},{4}}=>{{1,2},{3,6},{4,7},{5}}=>2
[5,7,6,1,4,2,3]=>[6,7,5,1,3,2,4]=>{{1,6},{2,7},{3,5},{4}}=>{{1,3},{2,7},{4,6},{5}}=>3
[5,7,6,1,4,3,2]=>[7,6,5,1,3,2,4]=>{{1,7},{2,6},{3,5},{4}}=>{{1,2},{3,7},{4,6},{5}}=>2
[5,7,6,2,1,3,4]=>[4,6,7,1,3,2,5]=>{{1,4},{2,6},{3,7},{5}}=>{{1,4},{2,5},{3,7},{6}}=>4
[5,7,6,2,1,4,3]=>[4,7,6,1,3,2,5]=>{{1,4},{2,7},{3,6},{5}}=>{{1,3},{2,5},{4,7},{6}}=>3
[5,7,6,2,3,1,4]=>[4,5,7,1,3,2,6]=>{{1,4},{2,5},{3,7},{6}}=>{{1,4},{2,5},{3,6},{7}}=>4
[5,7,6,2,3,4,1]=>[4,5,6,1,3,2,7]=>{{1,4},{2,5},{3,6},{7}}=>{{1},{2,5},{3,6},{4,7}}=>1
[5,7,6,2,4,1,3]=>[4,7,5,1,3,2,6]=>{{1,4},{2,7},{3,5},{6}}=>{{1,3},{2,5},{4,6},{7}}=>3
[5,7,6,2,4,3,1]=>[4,6,5,1,3,2,7]=>{{1,4},{2,6},{3,5},{7}}=>{{1},{2,5},{3,7},{4,6}}=>1
[5,7,6,3,1,2,4]=>[6,4,7,1,3,2,5]=>{{1,6},{2,4},{3,7},{5}}=>{{1,4},{2,7},{3,5},{6}}=>4
[5,7,6,3,1,4,2]=>[7,4,6,1,3,2,5]=>{{1,7},{2,4},{3,6},{5}}=>{{1,2},{3,5},{4,7},{6}}=>2
[5,7,6,3,2,1,4]=>[5,4,7,1,3,2,6]=>{{1,5},{2,4},{3,7},{6}}=>{{1,4},{2,6},{3,5},{7}}=>4
[5,7,6,3,2,4,1]=>[5,4,6,1,3,2,7]=>{{1,5},{2,4},{3,6},{7}}=>{{1},{2,6},{3,5},{4,7}}=>1
[5,7,6,3,4,1,2]=>[7,4,5,1,3,2,6]=>{{1,7},{2,4},{3,5},{6}}=>{{1,2},{3,5},{4,6},{7}}=>2
[5,7,6,3,4,2,1]=>[6,4,5,1,3,2,7]=>{{1,6},{2,4},{3,5},{7}}=>{{1},{2,7},{3,5},{4,6}}=>1
[5,7,6,4,1,2,3]=>[6,7,4,1,3,2,5]=>{{1,6},{2,7},{3,4},{5}}=>{{1,3},{2,7},{4,5},{6}}=>3
[5,7,6,4,1,3,2]=>[7,6,4,1,3,2,5]=>{{1,7},{2,6},{3,4},{5}}=>{{1,2},{3,7},{4,5},{6}}=>2
[5,7,6,4,2,1,3]=>[5,7,4,1,3,2,6]=>{{1,5},{2,7},{3,4},{6}}=>{{1,3},{2,6},{4,5},{7}}=>3
[5,7,6,4,2,3,1]=>[5,6,4,1,3,2,7]=>{{1,5},{2,6},{3,4},{7}}=>{{1},{2,6},{3,7},{4,5}}=>1
[5,7,6,4,3,1,2]=>[7,5,4,1,3,2,6]=>{{1,7},{2,5},{3,4},{6}}=>{{1,2},{3,6},{4,5},{7}}=>2
[5,7,6,4,3,2,1]=>[6,5,4,1,3,2,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1},{2,7},{3,6},{4,5}}=>1
[6,1,2,3,4,5,7]=>[3,4,5,6,1,7,2]=>{{1,3,5},{2,4,6,7}}=>{{1,3,5,7},{2,4,6}}=>7
[6,1,2,3,4,7,5]=>[3,4,5,7,1,6,2]=>{{1,3,5},{2,4,7},{6}}=>{{1,3,5},{2,4,6},{7}}=>5
[6,1,2,3,5,4,7]=>[3,4,6,5,1,7,2]=>{{1,3,6,7},{2,4,5}}=>{{1,2,4,7},{3,5,6}}=>7
[6,1,2,3,5,7,4]=>[3,4,7,5,1,6,2]=>{{1,3,7},{2,4,5},{6}}=>{{1,2,4},{3,5,6},{7}}=>4
[6,1,2,3,7,4,5]=>[3,4,6,7,1,5,2]=>{{1,3,6},{2,4,7},{5}}=>{{1,3,5},{2,4,7},{6}}=>5
[6,1,2,3,7,5,4]=>[3,4,7,6,1,5,2]=>{{1,3,7},{2,4,6},{5}}=>{{1,2,4},{3,5,7},{6}}=>4
[6,1,2,4,3,5,7]=>[3,5,4,6,1,7,2]=>{{1,3,4,6,7},{2,5}}=>{{1,2,4,5,7},{3,6}}=>7
[6,1,2,4,3,7,5]=>[3,5,4,7,1,6,2]=>{{1,3,4,7},{2,5},{6}}=>{{1,2,4,5},{3,6},{7}}=>5
[6,1,2,4,5,3,7]=>[3,6,4,5,1,7,2]=>{{1,3,4,5},{2,6,7}}=>{{1,3,7},{2,4,5,6}}=>7
[6,1,2,4,5,7,3]=>[3,7,4,5,1,6,2]=>{{1,3,4,5},{2,7},{6}}=>{{1,3},{2,4,5,6},{7}}=>3
[6,1,2,4,7,3,5]=>[3,6,4,7,1,5,2]=>{{1,3,4,7},{2,6},{5}}=>{{1,2,4,5},{3,7},{6}}=>5
[6,1,2,4,7,5,3]=>[3,7,4,6,1,5,2]=>{{1,3,4,6},{2,7},{5}}=>{{1,3},{2,4,5,7},{6}}=>3
[6,1,2,5,3,4,7]=>[3,5,6,4,1,7,2]=>{{1,3,6,7},{2,5},{4}}=>{{1,2,4,7},{3,6},{5}}=>7
[6,1,2,5,3,7,4]=>[3,5,7,4,1,6,2]=>{{1,3,7},{2,5},{4},{6}}=>{{1,2,4},{3,6},{5},{7}}=>4
[6,1,2,5,4,3,7]=>[3,6,5,4,1,7,2]=>{{1,3,5},{2,6,7},{4}}=>{{1,3,7},{2,4,6},{5}}=>7
[6,1,2,5,4,7,3]=>[3,7,5,4,1,6,2]=>{{1,3,5},{2,7},{4},{6}}=>{{1,3},{2,4,6},{5},{7}}=>3
[6,1,2,5,7,3,4]=>[3,6,7,4,1,5,2]=>{{1,3,7},{2,6},{4},{5}}=>{{1,2,4},{3,7},{5},{6}}=>4
[6,1,2,5,7,4,3]=>[3,7,6,4,1,5,2]=>{{1,3,6},{2,7},{4},{5}}=>{{1,3},{2,4,7},{5},{6}}=>3
[6,1,2,7,3,4,5]=>[3,5,6,7,1,4,2]=>{{1,3,6},{2,5},{4,7}}=>{{1,5},{2,4,7},{3,6}}=>5
[6,1,2,7,3,5,4]=>[3,5,7,6,1,4,2]=>{{1,3,7},{2,5},{4,6}}=>{{1,2,4},{3,6},{5,7}}=>4
[6,1,2,7,4,3,5]=>[3,6,5,7,1,4,2]=>{{1,3,5},{2,6},{4,7}}=>{{1,5},{2,4,6},{3,7}}=>5
[6,1,2,7,4,5,3]=>[3,7,5,6,1,4,2]=>{{1,3,5},{2,7},{4,6}}=>{{1,3},{2,4,6},{5,7}}=>3
[6,1,2,7,5,3,4]=>[3,6,7,5,1,4,2]=>{{1,3,7},{2,6},{4,5}}=>{{1,2,4},{3,7},{5,6}}=>4
[6,1,2,7,5,4,3]=>[3,7,6,5,1,4,2]=>{{1,3,6},{2,7},{4,5}}=>{{1,3},{2,4,7},{5,6}}=>3
[6,1,3,2,4,5,7]=>[4,3,5,6,1,7,2]=>{{1,4,6,7},{2,3,5}}=>{{1,2,5,7},{3,4,6}}=>7
[6,1,3,2,4,7,5]=>[4,3,5,7,1,6,2]=>{{1,4,7},{2,3,5},{6}}=>{{1,2,5},{3,4,6},{7}}=>5
[6,1,3,2,5,4,7]=>[4,3,6,5,1,7,2]=>{{1,4,5},{2,3,6,7}}=>{{1,3,4,7},{2,5,6}}=>7
[6,1,3,2,5,7,4]=>[4,3,7,5,1,6,2]=>{{1,4,5},{2,3,7},{6}}=>{{1,3,4},{2,5,6},{7}}=>4
[6,1,3,2,7,4,5]=>[4,3,6,7,1,5,2]=>{{1,4,7},{2,3,6},{5}}=>{{1,2,5},{3,4,7},{6}}=>5
[6,1,3,2,7,5,4]=>[4,3,7,6,1,5,2]=>{{1,4,6},{2,3,7},{5}}=>{{1,3,4},{2,5,7},{6}}=>4
[6,1,3,4,2,5,7]=>[5,3,4,6,1,7,2]=>{{1,5},{2,3,4,6,7}}=>{{1,3,4,5,7},{2,6}}=>7
[6,1,3,4,2,7,5]=>[5,3,4,7,1,6,2]=>{{1,5},{2,3,4,7},{6}}=>{{1,3,4,5},{2,6},{7}}=>5
[6,1,3,4,5,2,7]=>[6,3,4,5,1,7,2]=>{{1,6,7},{2,3,4,5}}=>{{1,2,7},{3,4,5,6}}=>7
[6,1,3,4,5,7,2]=>[7,3,4,5,1,6,2]=>{{1,7},{2,3,4,5},{6}}=>{{1,2},{3,4,5,6},{7}}=>2
[6,1,3,4,7,2,5]=>[6,3,4,7,1,5,2]=>{{1,6},{2,3,4,7},{5}}=>{{1,3,4,5},{2,7},{6}}=>5
[6,1,3,4,7,5,2]=>[7,3,4,6,1,5,2]=>{{1,7},{2,3,4,6},{5}}=>{{1,2},{3,4,5,7},{6}}=>2
[6,1,3,5,2,4,7]=>[5,3,6,4,1,7,2]=>{{1,5},{2,3,6,7},{4}}=>{{1,3,4,7},{2,6},{5}}=>7
[6,1,3,5,2,7,4]=>[5,3,7,4,1,6,2]=>{{1,5},{2,3,7},{4},{6}}=>{{1,3,4},{2,6},{5},{7}}=>4
[6,1,3,5,4,2,7]=>[6,3,5,4,1,7,2]=>{{1,6,7},{2,3,5},{4}}=>{{1,2,7},{3,4,6},{5}}=>7
[6,1,3,5,4,7,2]=>[7,3,5,4,1,6,2]=>{{1,7},{2,3,5},{4},{6}}=>{{1,2},{3,4,6},{5},{7}}=>2
[6,1,3,5,7,2,4]=>[6,3,7,4,1,5,2]=>{{1,6},{2,3,7},{4},{5}}=>{{1,3,4},{2,7},{5},{6}}=>4
[6,1,3,5,7,4,2]=>[7,3,6,4,1,5,2]=>{{1,7},{2,3,6},{4},{5}}=>{{1,2},{3,4,7},{5},{6}}=>2
[6,1,3,7,2,4,5]=>[5,3,6,7,1,4,2]=>{{1,5},{2,3,6},{4,7}}=>{{1,5},{2,6},{3,4,7}}=>5
[6,1,3,7,2,5,4]=>[5,3,7,6,1,4,2]=>{{1,5},{2,3,7},{4,6}}=>{{1,3,4},{2,6},{5,7}}=>4
[6,1,3,7,4,2,5]=>[6,3,5,7,1,4,2]=>{{1,6},{2,3,5},{4,7}}=>{{1,5},{2,7},{3,4,6}}=>5
[6,1,3,7,4,5,2]=>[7,3,5,6,1,4,2]=>{{1,7},{2,3,5},{4,6}}=>{{1,2},{3,4,6},{5,7}}=>2
[6,1,3,7,5,2,4]=>[6,3,7,5,1,4,2]=>{{1,6},{2,3,7},{4,5}}=>{{1,3,4},{2,7},{5,6}}=>4
[6,1,3,7,5,4,2]=>[7,3,6,5,1,4,2]=>{{1,7},{2,3,6},{4,5}}=>{{1,2},{3,4,7},{5,6}}=>2
[6,1,4,2,3,5,7]=>[4,5,3,6,1,7,2]=>{{1,4,6,7},{2,5},{3}}=>{{1,2,5,7},{3,6},{4}}=>7
[6,1,4,2,3,7,5]=>[4,5,3,7,1,6,2]=>{{1,4,7},{2,5},{3},{6}}=>{{1,2,5},{3,6},{4},{7}}=>5
[6,1,4,2,5,3,7]=>[4,6,3,5,1,7,2]=>{{1,4,5},{2,6,7},{3}}=>{{1,3,7},{2,5,6},{4}}=>7
[6,1,4,2,5,7,3]=>[4,7,3,5,1,6,2]=>{{1,4,5},{2,7},{3},{6}}=>{{1,3},{2,5,6},{4},{7}}=>3
[6,1,4,2,7,3,5]=>[4,6,3,7,1,5,2]=>{{1,4,7},{2,6},{3},{5}}=>{{1,2,5},{3,7},{4},{6}}=>5
[6,1,4,2,7,5,3]=>[4,7,3,6,1,5,2]=>{{1,4,6},{2,7},{3},{5}}=>{{1,3},{2,5,7},{4},{6}}=>3
[6,1,4,3,2,5,7]=>[5,4,3,6,1,7,2]=>{{1,5},{2,4,6,7},{3}}=>{{1,3,5,7},{2,6},{4}}=>7
[6,1,4,3,2,7,5]=>[5,4,3,7,1,6,2]=>{{1,5},{2,4,7},{3},{6}}=>{{1,3,5},{2,6},{4},{7}}=>5
[6,1,4,3,5,2,7]=>[6,4,3,5,1,7,2]=>{{1,6,7},{2,4,5},{3}}=>{{1,2,7},{3,5,6},{4}}=>7
[6,1,4,3,5,7,2]=>[7,4,3,5,1,6,2]=>{{1,7},{2,4,5},{3},{6}}=>{{1,2},{3,5,6},{4},{7}}=>2
[6,1,4,3,7,2,5]=>[6,4,3,7,1,5,2]=>{{1,6},{2,4,7},{3},{5}}=>{{1,3,5},{2,7},{4},{6}}=>5
[6,1,4,3,7,5,2]=>[7,4,3,6,1,5,2]=>{{1,7},{2,4,6},{3},{5}}=>{{1,2},{3,5,7},{4},{6}}=>2
[6,1,4,5,2,3,7]=>[5,6,3,4,1,7,2]=>{{1,5},{2,6,7},{3},{4}}=>{{1,3,7},{2,6},{4},{5}}=>7
[6,1,4,5,2,7,3]=>[5,7,3,4,1,6,2]=>{{1,5},{2,7},{3},{4},{6}}=>{{1,3},{2,6},{4},{5},{7}}=>3
[6,1,4,5,3,2,7]=>[6,5,3,4,1,7,2]=>{{1,6,7},{2,5},{3},{4}}=>{{1,2,7},{3,6},{4},{5}}=>7
[6,1,4,5,3,7,2]=>[7,5,3,4,1,6,2]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,2},{3,6},{4},{5},{7}}=>2
[6,1,4,5,7,2,3]=>[6,7,3,4,1,5,2]=>{{1,6},{2,7},{3},{4},{5}}=>{{1,3},{2,7},{4},{5},{6}}=>3
[6,1,4,5,7,3,2]=>[7,6,3,4,1,5,2]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,2},{3,7},{4},{5},{6}}=>2
[6,1,4,7,2,3,5]=>[5,6,3,7,1,4,2]=>{{1,5},{2,6},{3},{4,7}}=>{{1,5},{2,6},{3,7},{4}}=>5
[6,1,4,7,2,5,3]=>[5,7,3,6,1,4,2]=>{{1,5},{2,7},{3},{4,6}}=>{{1,3},{2,6},{4},{5,7}}=>3
[6,1,4,7,3,2,5]=>[6,5,3,7,1,4,2]=>{{1,6},{2,5},{3},{4,7}}=>{{1,5},{2,7},{3,6},{4}}=>5
[6,1,4,7,3,5,2]=>[7,5,3,6,1,4,2]=>{{1,7},{2,5},{3},{4,6}}=>{{1,2},{3,6},{4},{5,7}}=>2
[6,1,4,7,5,2,3]=>[6,7,3,5,1,4,2]=>{{1,6},{2,7},{3},{4,5}}=>{{1,3},{2,7},{4},{5,6}}=>3
[6,1,4,7,5,3,2]=>[7,6,3,5,1,4,2]=>{{1,7},{2,6},{3},{4,5}}=>{{1,2},{3,7},{4},{5,6}}=>2
[6,1,5,2,3,4,7]=>[4,5,6,3,1,7,2]=>{{1,4},{2,5},{3,6,7}}=>{{1,4,7},{2,5},{3,6}}=>7
[6,1,5,2,3,7,4]=>[4,5,7,3,1,6,2]=>{{1,4},{2,5},{3,7},{6}}=>{{1,4},{2,5},{3,6},{7}}=>4
[6,1,5,2,4,3,7]=>[4,6,5,3,1,7,2]=>{{1,4},{2,6,7},{3,5}}=>{{1,3,7},{2,5},{4,6}}=>7
[6,1,5,2,4,7,3]=>[4,7,5,3,1,6,2]=>{{1,4},{2,7},{3,5},{6}}=>{{1,3},{2,5},{4,6},{7}}=>3
[6,1,5,2,7,3,4]=>[4,6,7,3,1,5,2]=>{{1,4},{2,6},{3,7},{5}}=>{{1,4},{2,5},{3,7},{6}}=>4
[6,1,5,2,7,4,3]=>[4,7,6,3,1,5,2]=>{{1,4},{2,7},{3,6},{5}}=>{{1,3},{2,5},{4,7},{6}}=>3
[6,1,5,3,2,4,7]=>[5,4,6,3,1,7,2]=>{{1,5},{2,4},{3,6,7}}=>{{1,4,7},{2,6},{3,5}}=>7
[6,1,5,3,2,7,4]=>[5,4,7,3,1,6,2]=>{{1,5},{2,4},{3,7},{6}}=>{{1,4},{2,6},{3,5},{7}}=>4
[6,1,5,3,4,2,7]=>[6,4,5,3,1,7,2]=>{{1,6,7},{2,4},{3,5}}=>{{1,2,7},{3,5},{4,6}}=>7
[6,1,5,3,4,7,2]=>[7,4,5,3,1,6,2]=>{{1,7},{2,4},{3,5},{6}}=>{{1,2},{3,5},{4,6},{7}}=>2
[6,1,5,3,7,2,4]=>[6,4,7,3,1,5,2]=>{{1,6},{2,4},{3,7},{5}}=>{{1,4},{2,7},{3,5},{6}}=>4
[6,1,5,3,7,4,2]=>[7,4,6,3,1,5,2]=>{{1,7},{2,4},{3,6},{5}}=>{{1,2},{3,5},{4,7},{6}}=>2
[6,1,5,4,2,3,7]=>[5,6,4,3,1,7,2]=>{{1,5},{2,6,7},{3,4}}=>{{1,3,7},{2,6},{4,5}}=>7
[6,1,5,4,2,7,3]=>[5,7,4,3,1,6,2]=>{{1,5},{2,7},{3,4},{6}}=>{{1,3},{2,6},{4,5},{7}}=>3
[6,1,5,4,3,2,7]=>[6,5,4,3,1,7,2]=>{{1,6,7},{2,5},{3,4}}=>{{1,2,7},{3,6},{4,5}}=>7
[6,1,5,4,3,7,2]=>[7,5,4,3,1,6,2]=>{{1,7},{2,5},{3,4},{6}}=>{{1,2},{3,6},{4,5},{7}}=>2
[6,1,5,4,7,2,3]=>[6,7,4,3,1,5,2]=>{{1,6},{2,7},{3,4},{5}}=>{{1,3},{2,7},{4,5},{6}}=>3
[6,1,5,4,7,3,2]=>[7,6,4,3,1,5,2]=>{{1,7},{2,6},{3,4},{5}}=>{{1,2},{3,7},{4,5},{6}}=>2
[6,1,5,7,2,3,4]=>[5,6,7,3,1,4,2]=>{{1,5},{2,6},{3,7},{4}}=>{{1,4},{2,6},{3,7},{5}}=>4
[6,1,5,7,2,4,3]=>[5,7,6,3,1,4,2]=>{{1,5},{2,7},{3,6},{4}}=>{{1,3},{2,6},{4,7},{5}}=>3
[6,1,5,7,3,2,4]=>[6,5,7,3,1,4,2]=>{{1,6},{2,5},{3,7},{4}}=>{{1,4},{2,7},{3,6},{5}}=>4
[6,1,5,7,3,4,2]=>[7,5,6,3,1,4,2]=>{{1,7},{2,5},{3,6},{4}}=>{{1,2},{3,6},{4,7},{5}}=>2
[6,1,5,7,4,2,3]=>[6,7,5,3,1,4,2]=>{{1,6},{2,7},{3,5},{4}}=>{{1,3},{2,7},{4,6},{5}}=>3
[6,1,5,7,4,3,2]=>[7,6,5,3,1,4,2]=>{{1,7},{2,6},{3,5},{4}}=>{{1,2},{3,7},{4,6},{5}}=>2
[6,1,7,2,3,4,5]=>[4,5,6,7,1,3,2]=>{{1,4,7},{2,5},{3,6}}=>{{1,2,5},{3,6},{4,7}}=>5
[6,1,7,2,3,5,4]=>[4,5,7,6,1,3,2]=>{{1,4,6},{2,5},{3,7}}=>{{1,4},{2,5,7},{3,6}}=>4
[6,1,7,2,4,3,5]=>[4,6,5,7,1,3,2]=>{{1,4,7},{2,6},{3,5}}=>{{1,2,5},{3,7},{4,6}}=>5
[6,1,7,2,4,5,3]=>[4,7,5,6,1,3,2]=>{{1,4,6},{2,7},{3,5}}=>{{1,3},{2,5,7},{4,6}}=>3
[6,1,7,2,5,3,4]=>[4,6,7,5,1,3,2]=>{{1,4,5},{2,6},{3,7}}=>{{1,4},{2,5,6},{3,7}}=>4
[6,1,7,2,5,4,3]=>[4,7,6,5,1,3,2]=>{{1,4,5},{2,7},{3,6}}=>{{1,3},{2,5,6},{4,7}}=>3
[6,1,7,3,2,4,5]=>[5,4,6,7,1,3,2]=>{{1,5},{2,4,7},{3,6}}=>{{1,3,5},{2,6},{4,7}}=>5
[6,1,7,3,2,5,4]=>[5,4,7,6,1,3,2]=>{{1,5},{2,4,6},{3,7}}=>{{1,4},{2,6},{3,5,7}}=>4
[6,1,7,3,4,2,5]=>[6,4,5,7,1,3,2]=>{{1,6},{2,4,7},{3,5}}=>{{1,3,5},{2,7},{4,6}}=>5
[6,1,7,3,4,5,2]=>[7,4,5,6,1,3,2]=>{{1,7},{2,4,6},{3,5}}=>{{1,2},{3,5,7},{4,6}}=>2
[6,1,7,3,5,2,4]=>[6,4,7,5,1,3,2]=>{{1,6},{2,4,5},{3,7}}=>{{1,4},{2,7},{3,5,6}}=>4
[6,1,7,3,5,4,2]=>[7,4,6,5,1,3,2]=>{{1,7},{2,4,5},{3,6}}=>{{1,2},{3,5,6},{4,7}}=>2
[6,1,7,4,2,3,5]=>[5,6,4,7,1,3,2]=>{{1,5},{2,6},{3,4,7}}=>{{1,4,5},{2,6},{3,7}}=>5
[6,1,7,4,2,5,3]=>[5,7,4,6,1,3,2]=>{{1,5},{2,7},{3,4,6}}=>{{1,3},{2,6},{4,5,7}}=>3
[6,1,7,4,3,2,5]=>[6,5,4,7,1,3,2]=>{{1,6},{2,5},{3,4,7}}=>{{1,4,5},{2,7},{3,6}}=>5
[6,1,7,4,3,5,2]=>[7,5,4,6,1,3,2]=>{{1,7},{2,5},{3,4,6}}=>{{1,2},{3,6},{4,5,7}}=>2
[6,1,7,4,5,2,3]=>[6,7,4,5,1,3,2]=>{{1,6},{2,7},{3,4,5}}=>{{1,3},{2,7},{4,5,6}}=>3
[6,1,7,4,5,3,2]=>[7,6,4,5,1,3,2]=>{{1,7},{2,6},{3,4,5}}=>{{1,2},{3,7},{4,5,6}}=>2
[6,1,7,5,2,3,4]=>[5,6,7,4,1,3,2]=>{{1,5},{2,6},{3,7},{4}}=>{{1,4},{2,6},{3,7},{5}}=>4
[6,1,7,5,2,4,3]=>[5,7,6,4,1,3,2]=>{{1,5},{2,7},{3,6},{4}}=>{{1,3},{2,6},{4,7},{5}}=>3
[6,1,7,5,3,2,4]=>[6,5,7,4,1,3,2]=>{{1,6},{2,5},{3,7},{4}}=>{{1,4},{2,7},{3,6},{5}}=>4
[6,1,7,5,3,4,2]=>[7,5,6,4,1,3,2]=>{{1,7},{2,5},{3,6},{4}}=>{{1,2},{3,6},{4,7},{5}}=>2
[6,1,7,5,4,2,3]=>[6,7,5,4,1,3,2]=>{{1,6},{2,7},{3,5},{4}}=>{{1,3},{2,7},{4,6},{5}}=>3
[6,1,7,5,4,3,2]=>[7,6,5,4,1,3,2]=>{{1,7},{2,6},{3,5},{4}}=>{{1,2},{3,7},{4,6},{5}}=>2
[6,2,1,3,4,5,7]=>[2,4,5,6,1,7,3]=>{{1,2,4,6,7},{3,5}}=>{{1,2,3,5,7},{4,6}}=>7
[6,2,1,3,4,7,5]=>[2,4,5,7,1,6,3]=>{{1,2,4,7},{3,5},{6}}=>{{1,2,3,5},{4,6},{7}}=>5
[6,2,1,3,5,4,7]=>[2,4,6,5,1,7,3]=>{{1,2,4,5},{3,6,7}}=>{{1,4,7},{2,3,5,6}}=>7
[6,2,1,3,5,7,4]=>[2,4,7,5,1,6,3]=>{{1,2,4,5},{3,7},{6}}=>{{1,4},{2,3,5,6},{7}}=>4
[6,2,1,3,7,4,5]=>[2,4,6,7,1,5,3]=>{{1,2,4,7},{3,6},{5}}=>{{1,2,3,5},{4,7},{6}}=>5
[6,2,1,3,7,5,4]=>[2,4,7,6,1,5,3]=>{{1,2,4,6},{3,7},{5}}=>{{1,4},{2,3,5,7},{6}}=>4
[6,2,1,4,3,5,7]=>[2,5,4,6,1,7,3]=>{{1,2,5},{3,4,6,7}}=>{{1,4,5,7},{2,3,6}}=>7
[6,2,1,4,3,7,5]=>[2,5,4,7,1,6,3]=>{{1,2,5},{3,4,7},{6}}=>{{1,4,5},{2,3,6},{7}}=>5
[6,2,1,4,5,3,7]=>[2,6,4,5,1,7,3]=>{{1,2,6,7},{3,4,5}}=>{{1,2,3,7},{4,5,6}}=>7
[6,2,1,4,5,7,3]=>[2,7,4,5,1,6,3]=>{{1,2,7},{3,4,5},{6}}=>{{1,2,3},{4,5,6},{7}}=>3
[6,2,1,4,7,3,5]=>[2,6,4,7,1,5,3]=>{{1,2,6},{3,4,7},{5}}=>{{1,4,5},{2,3,7},{6}}=>5
[6,2,1,4,7,5,3]=>[2,7,4,6,1,5,3]=>{{1,2,7},{3,4,6},{5}}=>{{1,2,3},{4,5,7},{6}}=>3
[6,2,1,5,3,4,7]=>[2,5,6,4,1,7,3]=>{{1,2,5},{3,6,7},{4}}=>{{1,4,7},{2,3,6},{5}}=>7
[6,2,1,5,3,7,4]=>[2,5,7,4,1,6,3]=>{{1,2,5},{3,7},{4},{6}}=>{{1,4},{2,3,6},{5},{7}}=>4
[6,2,1,5,4,3,7]=>[2,6,5,4,1,7,3]=>{{1,2,6,7},{3,5},{4}}=>{{1,2,3,7},{4,6},{5}}=>7
[6,2,1,5,4,7,3]=>[2,7,5,4,1,6,3]=>{{1,2,7},{3,5},{4},{6}}=>{{1,2,3},{4,6},{5},{7}}=>3
[6,2,1,5,7,3,4]=>[2,6,7,4,1,5,3]=>{{1,2,6},{3,7},{4},{5}}=>{{1,4},{2,3,7},{5},{6}}=>4
[6,2,1,5,7,4,3]=>[2,7,6,4,1,5,3]=>{{1,2,7},{3,6},{4},{5}}=>{{1,2,3},{4,7},{5},{6}}=>3
[6,2,1,7,3,4,5]=>[2,5,6,7,1,4,3]=>{{1,2,5},{3,6},{4,7}}=>{{1,5},{2,3,6},{4,7}}=>5
[6,2,1,7,3,5,4]=>[2,5,7,6,1,4,3]=>{{1,2,5},{3,7},{4,6}}=>{{1,4},{2,3,6},{5,7}}=>4
[6,2,1,7,4,3,5]=>[2,6,5,7,1,4,3]=>{{1,2,6},{3,5},{4,7}}=>{{1,5},{2,3,7},{4,6}}=>5
[6,2,1,7,4,5,3]=>[2,7,5,6,1,4,3]=>{{1,2,7},{3,5},{4,6}}=>{{1,2,3},{4,6},{5,7}}=>3
[6,2,1,7,5,3,4]=>[2,6,7,5,1,4,3]=>{{1,2,6},{3,7},{4,5}}=>{{1,4},{2,3,7},{5,6}}=>4
[6,2,1,7,5,4,3]=>[2,7,6,5,1,4,3]=>{{1,2,7},{3,6},{4,5}}=>{{1,2,3},{4,7},{5,6}}=>3
[6,2,3,1,4,5,7]=>[2,3,5,6,1,7,4]=>{{1,2,3,5},{4,6,7}}=>{{1,5,7},{2,3,4,6}}=>7
[6,2,3,1,4,7,5]=>[2,3,5,7,1,6,4]=>{{1,2,3,5},{4,7},{6}}=>{{1,5},{2,3,4,6},{7}}=>5
[6,2,3,1,5,4,7]=>[2,3,6,5,1,7,4]=>{{1,2,3,6,7},{4,5}}=>{{1,2,3,4,7},{5,6}}=>7
[6,2,3,1,5,7,4]=>[2,3,7,5,1,6,4]=>{{1,2,3,7},{4,5},{6}}=>{{1,2,3,4},{5,6},{7}}=>4
[6,2,3,1,7,4,5]=>[2,3,6,7,1,5,4]=>{{1,2,3,6},{4,7},{5}}=>{{1,5},{2,3,4,7},{6}}=>5
[6,2,3,1,7,5,4]=>[2,3,7,6,1,5,4]=>{{1,2,3,7},{4,6},{5}}=>{{1,2,3,4},{5,7},{6}}=>4
[6,2,3,4,1,5,7]=>[2,3,4,6,1,7,5]=>{{1,2,3,4,6,7},{5}}=>{{1,2,3,4,5,7},{6}}=>7
[6,2,3,4,1,7,5]=>[2,3,4,7,1,6,5]=>{{1,2,3,4,7},{5},{6}}=>{{1,2,3,4,5},{6},{7}}=>5
[6,2,3,4,5,1,7]=>[2,3,4,5,1,7,6]=>{{1,2,3,4,5},{6,7}}=>{{1,7},{2,3,4,5,6}}=>7
[6,2,3,4,5,7,1]=>[2,3,4,5,1,6,7]=>{{1,2,3,4,5},{6},{7}}=>{{1},{2,3,4,5,6},{7}}=>1
[6,2,3,4,7,1,5]=>[2,3,4,7,1,5,6]=>{{1,2,3,4,7},{5},{6}}=>{{1,2,3,4,5},{6},{7}}=>5
[6,2,3,4,7,5,1]=>[2,3,4,6,1,5,7]=>{{1,2,3,4,6},{5},{7}}=>{{1},{2,3,4,5,7},{6}}=>1
[6,2,3,5,1,4,7]=>[2,3,6,4,1,7,5]=>{{1,2,3,6,7},{4},{5}}=>{{1,2,3,4,7},{5},{6}}=>7
[6,2,3,5,1,7,4]=>[2,3,7,4,1,6,5]=>{{1,2,3,7},{4},{5},{6}}=>{{1,2,3,4},{5},{6},{7}}=>4
[6,2,3,5,4,1,7]=>[2,3,5,4,1,7,6]=>{{1,2,3,5},{4},{6,7}}=>{{1,7},{2,3,4,6},{5}}=>7
[6,2,3,5,4,7,1]=>[2,3,5,4,1,6,7]=>{{1,2,3,5},{4},{6},{7}}=>{{1},{2,3,4,6},{5},{7}}=>1
[6,2,3,5,7,1,4]=>[2,3,7,4,1,5,6]=>{{1,2,3,7},{4},{5},{6}}=>{{1,2,3,4},{5},{6},{7}}=>4
[6,2,3,5,7,4,1]=>[2,3,6,4,1,5,7]=>{{1,2,3,6},{4},{5},{7}}=>{{1},{2,3,4,7},{5},{6}}=>1
[6,2,3,7,1,4,5]=>[2,3,6,7,1,4,5]=>{{1,2,3,6},{4,7},{5}}=>{{1,5},{2,3,4,7},{6}}=>5
[6,2,3,7,1,5,4]=>[2,3,7,6,1,4,5]=>{{1,2,3,7},{4,6},{5}}=>{{1,2,3,4},{5,7},{6}}=>4
[6,2,3,7,4,1,5]=>[2,3,5,7,1,4,6]=>{{1,2,3,5},{4,7},{6}}=>{{1,5},{2,3,4,6},{7}}=>5
[6,2,3,7,4,5,1]=>[2,3,5,6,1,4,7]=>{{1,2,3,5},{4,6},{7}}=>{{1},{2,3,4,6},{5,7}}=>1
[6,2,3,7,5,1,4]=>[2,3,7,5,1,4,6]=>{{1,2,3,7},{4,5},{6}}=>{{1,2,3,4},{5,6},{7}}=>4
[6,2,3,7,5,4,1]=>[2,3,6,5,1,4,7]=>{{1,2,3,6},{4,5},{7}}=>{{1},{2,3,4,7},{5,6}}=>1
[6,2,4,1,3,5,7]=>[2,5,3,6,1,7,4]=>{{1,2,5},{3},{4,6,7}}=>{{1,5,7},{2,3,6},{4}}=>7
[6,2,4,1,3,7,5]=>[2,5,3,7,1,6,4]=>{{1,2,5},{3},{4,7},{6}}=>{{1,5},{2,3,6},{4},{7}}=>5
[6,2,4,1,5,3,7]=>[2,6,3,5,1,7,4]=>{{1,2,6,7},{3},{4,5}}=>{{1,2,3,7},{4},{5,6}}=>7
[6,2,4,1,5,7,3]=>[2,7,3,5,1,6,4]=>{{1,2,7},{3},{4,5},{6}}=>{{1,2,3},{4},{5,6},{7}}=>3
[6,2,4,1,7,3,5]=>[2,6,3,7,1,5,4]=>{{1,2,6},{3},{4,7},{5}}=>{{1,5},{2,3,7},{4},{6}}=>5
[6,2,4,1,7,5,3]=>[2,7,3,6,1,5,4]=>{{1,2,7},{3},{4,6},{5}}=>{{1,2,3},{4},{5,7},{6}}=>3
[6,2,4,3,1,5,7]=>[2,4,3,6,1,7,5]=>{{1,2,4,6,7},{3},{5}}=>{{1,2,3,5,7},{4},{6}}=>7
[6,2,4,3,1,7,5]=>[2,4,3,7,1,6,5]=>{{1,2,4,7},{3},{5},{6}}=>{{1,2,3,5},{4},{6},{7}}=>5
[6,2,4,3,5,1,7]=>[2,4,3,5,1,7,6]=>{{1,2,4,5},{3},{6,7}}=>{{1,7},{2,3,5,6},{4}}=>7
[6,2,4,3,5,7,1]=>[2,4,3,5,1,6,7]=>{{1,2,4,5},{3},{6},{7}}=>{{1},{2,3,5,6},{4},{7}}=>1
[6,2,4,3,7,1,5]=>[2,4,3,7,1,5,6]=>{{1,2,4,7},{3},{5},{6}}=>{{1,2,3,5},{4},{6},{7}}=>5
[6,2,4,3,7,5,1]=>[2,4,3,6,1,5,7]=>{{1,2,4,6},{3},{5},{7}}=>{{1},{2,3,5,7},{4},{6}}=>1
[6,2,4,5,1,3,7]=>[2,6,3,4,1,7,5]=>{{1,2,6,7},{3},{4},{5}}=>{{1,2,3,7},{4},{5},{6}}=>7
[6,2,4,5,1,7,3]=>[2,7,3,4,1,6,5]=>{{1,2,7},{3},{4},{5},{6}}=>{{1,2,3},{4},{5},{6},{7}}=>3
[6,2,4,5,3,1,7]=>[2,5,3,4,1,7,6]=>{{1,2,5},{3},{4},{6,7}}=>{{1,7},{2,3,6},{4},{5}}=>7
[6,2,4,5,3,7,1]=>[2,5,3,4,1,6,7]=>{{1,2,5},{3},{4},{6},{7}}=>{{1},{2,3,6},{4},{5},{7}}=>1
[6,2,4,5,7,1,3]=>[2,7,3,4,1,5,6]=>{{1,2,7},{3},{4},{5},{6}}=>{{1,2,3},{4},{5},{6},{7}}=>3
[6,2,4,5,7,3,1]=>[2,6,3,4,1,5,7]=>{{1,2,6},{3},{4},{5},{7}}=>{{1},{2,3,7},{4},{5},{6}}=>1
[6,2,4,7,1,3,5]=>[2,6,3,7,1,4,5]=>{{1,2,6},{3},{4,7},{5}}=>{{1,5},{2,3,7},{4},{6}}=>5
[6,2,4,7,1,5,3]=>[2,7,3,6,1,4,5]=>{{1,2,7},{3},{4,6},{5}}=>{{1,2,3},{4},{5,7},{6}}=>3
[6,2,4,7,3,1,5]=>[2,5,3,7,1,4,6]=>{{1,2,5},{3},{4,7},{6}}=>{{1,5},{2,3,6},{4},{7}}=>5
[6,2,4,7,3,5,1]=>[2,5,3,6,1,4,7]=>{{1,2,5},{3},{4,6},{7}}=>{{1},{2,3,6},{4},{5,7}}=>1
[6,2,4,7,5,1,3]=>[2,7,3,5,1,4,6]=>{{1,2,7},{3},{4,5},{6}}=>{{1,2,3},{4},{5,6},{7}}=>3
[6,2,4,7,5,3,1]=>[2,6,3,5,1,4,7]=>{{1,2,6},{3},{4,5},{7}}=>{{1},{2,3,7},{4},{5,6}}=>1
[6,2,5,1,3,4,7]=>[2,5,6,3,1,7,4]=>{{1,2,5},{3,6,7},{4}}=>{{1,4,7},{2,3,6},{5}}=>7
[6,2,5,1,3,7,4]=>[2,5,7,3,1,6,4]=>{{1,2,5},{3,7},{4},{6}}=>{{1,4},{2,3,6},{5},{7}}=>4
[6,2,5,1,4,3,7]=>[2,6,5,3,1,7,4]=>{{1,2,6,7},{3,5},{4}}=>{{1,2,3,7},{4,6},{5}}=>7
[6,2,5,1,4,7,3]=>[2,7,5,3,1,6,4]=>{{1,2,7},{3,5},{4},{6}}=>{{1,2,3},{4,6},{5},{7}}=>3
[6,2,5,1,7,3,4]=>[2,6,7,3,1,5,4]=>{{1,2,6},{3,7},{4},{5}}=>{{1,4},{2,3,7},{5},{6}}=>4
[6,2,5,1,7,4,3]=>[2,7,6,3,1,5,4]=>{{1,2,7},{3,6},{4},{5}}=>{{1,2,3},{4,7},{5},{6}}=>3
[6,2,5,3,1,4,7]=>[2,4,6,3,1,7,5]=>{{1,2,4},{3,6,7},{5}}=>{{1,4,7},{2,3,5},{6}}=>7
[6,2,5,3,1,7,4]=>[2,4,7,3,1,6,5]=>{{1,2,4},{3,7},{5},{6}}=>{{1,4},{2,3,5},{6},{7}}=>4
[6,2,5,3,4,1,7]=>[2,4,5,3,1,7,6]=>{{1,2,4},{3,5},{6,7}}=>{{1,7},{2,3,5},{4,6}}=>7
[6,2,5,3,4,7,1]=>[2,4,5,3,1,6,7]=>{{1,2,4},{3,5},{6},{7}}=>{{1},{2,3,5},{4,6},{7}}=>1
[6,2,5,3,7,1,4]=>[2,4,7,3,1,5,6]=>{{1,2,4},{3,7},{5},{6}}=>{{1,4},{2,3,5},{6},{7}}=>4
[6,2,5,3,7,4,1]=>[2,4,6,3,1,5,7]=>{{1,2,4},{3,6},{5},{7}}=>{{1},{2,3,5},{4,7},{6}}=>1
[6,2,5,4,1,3,7]=>[2,6,4,3,1,7,5]=>{{1,2,6,7},{3,4},{5}}=>{{1,2,3,7},{4,5},{6}}=>7
[6,2,5,4,1,7,3]=>[2,7,4,3,1,6,5]=>{{1,2,7},{3,4},{5},{6}}=>{{1,2,3},{4,5},{6},{7}}=>3
[6,2,5,4,3,1,7]=>[2,5,4,3,1,7,6]=>{{1,2,5},{3,4},{6,7}}=>{{1,7},{2,3,6},{4,5}}=>7
[6,2,5,4,3,7,1]=>[2,5,4,3,1,6,7]=>{{1,2,5},{3,4},{6},{7}}=>{{1},{2,3,6},{4,5},{7}}=>1
[6,2,5,4,7,1,3]=>[2,7,4,3,1,5,6]=>{{1,2,7},{3,4},{5},{6}}=>{{1,2,3},{4,5},{6},{7}}=>3
[6,2,5,4,7,3,1]=>[2,6,4,3,1,5,7]=>{{1,2,6},{3,4},{5},{7}}=>{{1},{2,3,7},{4,5},{6}}=>1
[6,2,5,7,1,3,4]=>[2,6,7,3,1,4,5]=>{{1,2,6},{3,7},{4},{5}}=>{{1,4},{2,3,7},{5},{6}}=>4
[6,2,5,7,1,4,3]=>[2,7,6,3,1,4,5]=>{{1,2,7},{3,6},{4},{5}}=>{{1,2,3},{4,7},{5},{6}}=>3
[6,2,5,7,3,1,4]=>[2,5,7,3,1,4,6]=>{{1,2,5},{3,7},{4},{6}}=>{{1,4},{2,3,6},{5},{7}}=>4
[6,2,5,7,3,4,1]=>[2,5,6,3,1,4,7]=>{{1,2,5},{3,6},{4},{7}}=>{{1},{2,3,6},{4,7},{5}}=>1
[6,2,5,7,4,1,3]=>[2,7,5,3,1,4,6]=>{{1,2,7},{3,5},{4},{6}}=>{{1,2,3},{4,6},{5},{7}}=>3
[6,2,5,7,4,3,1]=>[2,6,5,3,1,4,7]=>{{1,2,6},{3,5},{4},{7}}=>{{1},{2,3,7},{4,6},{5}}=>1
[6,2,7,1,3,4,5]=>[2,5,6,7,1,3,4]=>{{1,2,5},{3,6},{4,7}}=>{{1,5},{2,3,6},{4,7}}=>5
[6,2,7,1,3,5,4]=>[2,5,7,6,1,3,4]=>{{1,2,5},{3,7},{4,6}}=>{{1,4},{2,3,6},{5,7}}=>4
[6,2,7,1,4,3,5]=>[2,6,5,7,1,3,4]=>{{1,2,6},{3,5},{4,7}}=>{{1,5},{2,3,7},{4,6}}=>5
[6,2,7,1,4,5,3]=>[2,7,5,6,1,3,4]=>{{1,2,7},{3,5},{4,6}}=>{{1,2,3},{4,6},{5,7}}=>3
[6,2,7,1,5,3,4]=>[2,6,7,5,1,3,4]=>{{1,2,6},{3,7},{4,5}}=>{{1,4},{2,3,7},{5,6}}=>4
[6,2,7,1,5,4,3]=>[2,7,6,5,1,3,4]=>{{1,2,7},{3,6},{4,5}}=>{{1,2,3},{4,7},{5,6}}=>3
[6,2,7,3,1,4,5]=>[2,4,6,7,1,3,5]=>{{1,2,4,7},{3,6},{5}}=>{{1,2,3,5},{4,7},{6}}=>5
[6,2,7,3,1,5,4]=>[2,4,7,6,1,3,5]=>{{1,2,4,6},{3,7},{5}}=>{{1,4},{2,3,5,7},{6}}=>4
[6,2,7,3,4,1,5]=>[2,4,5,7,1,3,6]=>{{1,2,4,7},{3,5},{6}}=>{{1,2,3,5},{4,6},{7}}=>5
[6,2,7,3,4,5,1]=>[2,4,5,6,1,3,7]=>{{1,2,4,6},{3,5},{7}}=>{{1},{2,3,5,7},{4,6}}=>1
[6,2,7,3,5,1,4]=>[2,4,7,5,1,3,6]=>{{1,2,4,5},{3,7},{6}}=>{{1,4},{2,3,5,6},{7}}=>4
[6,2,7,3,5,4,1]=>[2,4,6,5,1,3,7]=>{{1,2,4,5},{3,6},{7}}=>{{1},{2,3,5,6},{4,7}}=>1
[6,2,7,4,1,3,5]=>[2,6,4,7,1,3,5]=>{{1,2,6},{3,4,7},{5}}=>{{1,4,5},{2,3,7},{6}}=>5
[6,2,7,4,1,5,3]=>[2,7,4,6,1,3,5]=>{{1,2,7},{3,4,6},{5}}=>{{1,2,3},{4,5,7},{6}}=>3
[6,2,7,4,3,1,5]=>[2,5,4,7,1,3,6]=>{{1,2,5},{3,4,7},{6}}=>{{1,4,5},{2,3,6},{7}}=>5
[6,2,7,4,3,5,1]=>[2,5,4,6,1,3,7]=>{{1,2,5},{3,4,6},{7}}=>{{1},{2,3,6},{4,5,7}}=>1
[6,2,7,4,5,1,3]=>[2,7,4,5,1,3,6]=>{{1,2,7},{3,4,5},{6}}=>{{1,2,3},{4,5,6},{7}}=>3
[6,2,7,4,5,3,1]=>[2,6,4,5,1,3,7]=>{{1,2,6},{3,4,5},{7}}=>{{1},{2,3,7},{4,5,6}}=>1
[6,2,7,5,1,3,4]=>[2,6,7,4,1,3,5]=>{{1,2,6},{3,7},{4},{5}}=>{{1,4},{2,3,7},{5},{6}}=>4
[6,2,7,5,1,4,3]=>[2,7,6,4,1,3,5]=>{{1,2,7},{3,6},{4},{5}}=>{{1,2,3},{4,7},{5},{6}}=>3
[6,2,7,5,3,1,4]=>[2,5,7,4,1,3,6]=>{{1,2,5},{3,7},{4},{6}}=>{{1,4},{2,3,6},{5},{7}}=>4
[6,2,7,5,3,4,1]=>[2,5,6,4,1,3,7]=>{{1,2,5},{3,6},{4},{7}}=>{{1},{2,3,6},{4,7},{5}}=>1
[6,2,7,5,4,1,3]=>[2,7,5,4,1,3,6]=>{{1,2,7},{3,5},{4},{6}}=>{{1,2,3},{4,6},{5},{7}}=>3
[6,2,7,5,4,3,1]=>[2,6,5,4,1,3,7]=>{{1,2,6},{3,5},{4},{7}}=>{{1},{2,3,7},{4,6},{5}}=>1
[6,3,1,2,4,5,7]=>[4,2,5,6,1,7,3]=>{{1,4,6,7},{2},{3,5}}=>{{1,2,5,7},{3},{4,6}}=>7
[6,3,1,2,4,7,5]=>[4,2,5,7,1,6,3]=>{{1,4,7},{2},{3,5},{6}}=>{{1,2,5},{3},{4,6},{7}}=>5
[6,3,1,2,5,4,7]=>[4,2,6,5,1,7,3]=>{{1,4,5},{2},{3,6,7}}=>{{1,4,7},{2,5,6},{3}}=>7
[6,3,1,2,5,7,4]=>[4,2,7,5,1,6,3]=>{{1,4,5},{2},{3,7},{6}}=>{{1,4},{2,5,6},{3},{7}}=>4
[6,3,1,2,7,4,5]=>[4,2,6,7,1,5,3]=>{{1,4,7},{2},{3,6},{5}}=>{{1,2,5},{3},{4,7},{6}}=>5
[6,3,1,2,7,5,4]=>[4,2,7,6,1,5,3]=>{{1,4,6},{2},{3,7},{5}}=>{{1,4},{2,5,7},{3},{6}}=>4
[6,3,1,4,2,5,7]=>[5,2,4,6,1,7,3]=>{{1,5},{2},{3,4,6,7}}=>{{1,4,5,7},{2,6},{3}}=>7
[6,3,1,4,2,7,5]=>[5,2,4,7,1,6,3]=>{{1,5},{2},{3,4,7},{6}}=>{{1,4,5},{2,6},{3},{7}}=>5
[6,3,1,4,5,2,7]=>[6,2,4,5,1,7,3]=>{{1,6,7},{2},{3,4,5}}=>{{1,2,7},{3},{4,5,6}}=>7
[6,3,1,4,5,7,2]=>[7,2,4,5,1,6,3]=>{{1,7},{2},{3,4,5},{6}}=>{{1,2},{3},{4,5,6},{7}}=>2
[6,3,1,4,7,2,5]=>[6,2,4,7,1,5,3]=>{{1,6},{2},{3,4,7},{5}}=>{{1,4,5},{2,7},{3},{6}}=>5
[6,3,1,4,7,5,2]=>[7,2,4,6,1,5,3]=>{{1,7},{2},{3,4,6},{5}}=>{{1,2},{3},{4,5,7},{6}}=>2
[6,3,1,5,2,4,7]=>[5,2,6,4,1,7,3]=>{{1,5},{2},{3,6,7},{4}}=>{{1,4,7},{2,6},{3},{5}}=>7
[6,3,1,5,2,7,4]=>[5,2,7,4,1,6,3]=>{{1,5},{2},{3,7},{4},{6}}=>{{1,4},{2,6},{3},{5},{7}}=>4
[6,3,1,5,4,2,7]=>[6,2,5,4,1,7,3]=>{{1,6,7},{2},{3,5},{4}}=>{{1,2,7},{3},{4,6},{5}}=>7
[6,3,1,5,4,7,2]=>[7,2,5,4,1,6,3]=>{{1,7},{2},{3,5},{4},{6}}=>{{1,2},{3},{4,6},{5},{7}}=>2
[6,3,1,5,7,2,4]=>[6,2,7,4,1,5,3]=>{{1,6},{2},{3,7},{4},{5}}=>{{1,4},{2,7},{3},{5},{6}}=>4
[6,3,1,5,7,4,2]=>[7,2,6,4,1,5,3]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,2},{3},{4,7},{5},{6}}=>2
[6,3,1,7,2,4,5]=>[5,2,6,7,1,4,3]=>{{1,5},{2},{3,6},{4,7}}=>{{1,5},{2,6},{3},{4,7}}=>5
[6,3,1,7,2,5,4]=>[5,2,7,6,1,4,3]=>{{1,5},{2},{3,7},{4,6}}=>{{1,4},{2,6},{3},{5,7}}=>4
[6,3,1,7,4,2,5]=>[6,2,5,7,1,4,3]=>{{1,6},{2},{3,5},{4,7}}=>{{1,5},{2,7},{3},{4,6}}=>5
[6,3,1,7,4,5,2]=>[7,2,5,6,1,4,3]=>{{1,7},{2},{3,5},{4,6}}=>{{1,2},{3},{4,6},{5,7}}=>2
[6,3,1,7,5,2,4]=>[6,2,7,5,1,4,3]=>{{1,6},{2},{3,7},{4,5}}=>{{1,4},{2,7},{3},{5,6}}=>4
[6,3,1,7,5,4,2]=>[7,2,6,5,1,4,3]=>{{1,7},{2},{3,6},{4,5}}=>{{1,2},{3},{4,7},{5,6}}=>2
[6,3,2,1,4,5,7]=>[3,2,5,6,1,7,4]=>{{1,3,5},{2},{4,6,7}}=>{{1,5,7},{2,4,6},{3}}=>7
[6,3,2,1,4,7,5]=>[3,2,5,7,1,6,4]=>{{1,3,5},{2},{4,7},{6}}=>{{1,5},{2,4,6},{3},{7}}=>5
[6,3,2,1,5,4,7]=>[3,2,6,5,1,7,4]=>{{1,3,6,7},{2},{4,5}}=>{{1,2,4,7},{3},{5,6}}=>7
[6,3,2,1,5,7,4]=>[3,2,7,5,1,6,4]=>{{1,3,7},{2},{4,5},{6}}=>{{1,2,4},{3},{5,6},{7}}=>4
[6,3,2,1,7,4,5]=>[3,2,6,7,1,5,4]=>{{1,3,6},{2},{4,7},{5}}=>{{1,5},{2,4,7},{3},{6}}=>5
[6,3,2,1,7,5,4]=>[3,2,7,6,1,5,4]=>{{1,3,7},{2},{4,6},{5}}=>{{1,2,4},{3},{5,7},{6}}=>4
[6,3,2,4,1,5,7]=>[3,2,4,6,1,7,5]=>{{1,3,4,6,7},{2},{5}}=>{{1,2,4,5,7},{3},{6}}=>7
[6,3,2,4,1,7,5]=>[3,2,4,7,1,6,5]=>{{1,3,4,7},{2},{5},{6}}=>{{1,2,4,5},{3},{6},{7}}=>5
[6,3,2,4,5,1,7]=>[3,2,4,5,1,7,6]=>{{1,3,4,5},{2},{6,7}}=>{{1,7},{2,4,5,6},{3}}=>7
[6,3,2,4,5,7,1]=>[3,2,4,5,1,6,7]=>{{1,3,4,5},{2},{6},{7}}=>{{1},{2,4,5,6},{3},{7}}=>1
[6,3,2,4,7,1,5]=>[3,2,4,7,1,5,6]=>{{1,3,4,7},{2},{5},{6}}=>{{1,2,4,5},{3},{6},{7}}=>5
[6,3,2,4,7,5,1]=>[3,2,4,6,1,5,7]=>{{1,3,4,6},{2},{5},{7}}=>{{1},{2,4,5,7},{3},{6}}=>1
[6,3,2,5,1,4,7]=>[3,2,6,4,1,7,5]=>{{1,3,6,7},{2},{4},{5}}=>{{1,2,4,7},{3},{5},{6}}=>7
[6,3,2,5,1,7,4]=>[3,2,7,4,1,6,5]=>{{1,3,7},{2},{4},{5},{6}}=>{{1,2,4},{3},{5},{6},{7}}=>4
[6,3,2,5,4,1,7]=>[3,2,5,4,1,7,6]=>{{1,3,5},{2},{4},{6,7}}=>{{1,7},{2,4,6},{3},{5}}=>7
[6,3,2,5,4,7,1]=>[3,2,5,4,1,6,7]=>{{1,3,5},{2},{4},{6},{7}}=>{{1},{2,4,6},{3},{5},{7}}=>1
[6,3,2,5,7,1,4]=>[3,2,7,4,1,5,6]=>{{1,3,7},{2},{4},{5},{6}}=>{{1,2,4},{3},{5},{6},{7}}=>4
[6,3,2,5,7,4,1]=>[3,2,6,4,1,5,7]=>{{1,3,6},{2},{4},{5},{7}}=>{{1},{2,4,7},{3},{5},{6}}=>1
[6,3,2,7,1,4,5]=>[3,2,6,7,1,4,5]=>{{1,3,6},{2},{4,7},{5}}=>{{1,5},{2,4,7},{3},{6}}=>5
[6,3,2,7,1,5,4]=>[3,2,7,6,1,4,5]=>{{1,3,7},{2},{4,6},{5}}=>{{1,2,4},{3},{5,7},{6}}=>4
[6,3,2,7,4,1,5]=>[3,2,5,7,1,4,6]=>{{1,3,5},{2},{4,7},{6}}=>{{1,5},{2,4,6},{3},{7}}=>5
[6,3,2,7,4,5,1]=>[3,2,5,6,1,4,7]=>{{1,3,5},{2},{4,6},{7}}=>{{1},{2,4,6},{3},{5,7}}=>1
[6,3,2,7,5,1,4]=>[3,2,7,5,1,4,6]=>{{1,3,7},{2},{4,5},{6}}=>{{1,2,4},{3},{5,6},{7}}=>4
[6,3,2,7,5,4,1]=>[3,2,6,5,1,4,7]=>{{1,3,6},{2},{4,5},{7}}=>{{1},{2,4,7},{3},{5,6}}=>1
[6,3,4,1,2,5,7]=>[5,2,3,6,1,7,4]=>{{1,5},{2},{3},{4,6,7}}=>{{1,5,7},{2,6},{3},{4}}=>7
[6,3,4,1,2,7,5]=>[5,2,3,7,1,6,4]=>{{1,5},{2},{3},{4,7},{6}}=>{{1,5},{2,6},{3},{4},{7}}=>5
[6,3,4,1,5,2,7]=>[6,2,3,5,1,7,4]=>{{1,6,7},{2},{3},{4,5}}=>{{1,2,7},{3},{4},{5,6}}=>7
[6,3,4,1,5,7,2]=>[7,2,3,5,1,6,4]=>{{1,7},{2},{3},{4,5},{6}}=>{{1,2},{3},{4},{5,6},{7}}=>2
[6,3,4,1,7,2,5]=>[6,2,3,7,1,5,4]=>{{1,6},{2},{3},{4,7},{5}}=>{{1,5},{2,7},{3},{4},{6}}=>5
[6,3,4,1,7,5,2]=>[7,2,3,6,1,5,4]=>{{1,7},{2},{3},{4,6},{5}}=>{{1,2},{3},{4},{5,7},{6}}=>2
[6,3,4,2,1,5,7]=>[4,2,3,6,1,7,5]=>{{1,4,6,7},{2},{3},{5}}=>{{1,2,5,7},{3},{4},{6}}=>7
[6,3,4,2,1,7,5]=>[4,2,3,7,1,6,5]=>{{1,4,7},{2},{3},{5},{6}}=>{{1,2,5},{3},{4},{6},{7}}=>5
[6,3,4,2,5,1,7]=>[4,2,3,5,1,7,6]=>{{1,4,5},{2},{3},{6,7}}=>{{1,7},{2,5,6},{3},{4}}=>7
[6,3,4,2,5,7,1]=>[4,2,3,5,1,6,7]=>{{1,4,5},{2},{3},{6},{7}}=>{{1},{2,5,6},{3},{4},{7}}=>1
[6,3,4,2,7,1,5]=>[4,2,3,7,1,5,6]=>{{1,4,7},{2},{3},{5},{6}}=>{{1,2,5},{3},{4},{6},{7}}=>5
[6,3,4,2,7,5,1]=>[4,2,3,6,1,5,7]=>{{1,4,6},{2},{3},{5},{7}}=>{{1},{2,5,7},{3},{4},{6}}=>1
[6,3,4,5,1,2,7]=>[6,2,3,4,1,7,5]=>{{1,6,7},{2},{3},{4},{5}}=>{{1,2,7},{3},{4},{5},{6}}=>7
[6,3,4,5,1,7,2]=>[7,2,3,4,1,6,5]=>{{1,7},{2},{3},{4},{5},{6}}=>{{1,2},{3},{4},{5},{6},{7}}=>2
[6,3,4,5,2,1,7]=>[5,2,3,4,1,7,6]=>{{1,5},{2},{3},{4},{6,7}}=>{{1,7},{2,6},{3},{4},{5}}=>7
[6,3,4,5,2,7,1]=>[5,2,3,4,1,6,7]=>{{1,5},{2},{3},{4},{6},{7}}=>{{1},{2,6},{3},{4},{5},{7}}=>1
[6,3,4,5,7,1,2]=>[7,2,3,4,1,5,6]=>{{1,7},{2},{3},{4},{5},{6}}=>{{1,2},{3},{4},{5},{6},{7}}=>2
[6,3,4,5,7,2,1]=>[6,2,3,4,1,5,7]=>{{1,6},{2},{3},{4},{5},{7}}=>{{1},{2,7},{3},{4},{5},{6}}=>1
[6,3,4,7,1,2,5]=>[6,2,3,7,1,4,5]=>{{1,6},{2},{3},{4,7},{5}}=>{{1,5},{2,7},{3},{4},{6}}=>5
[6,3,4,7,1,5,2]=>[7,2,3,6,1,4,5]=>{{1,7},{2},{3},{4,6},{5}}=>{{1,2},{3},{4},{5,7},{6}}=>2
[6,3,4,7,2,1,5]=>[5,2,3,7,1,4,6]=>{{1,5},{2},{3},{4,7},{6}}=>{{1,5},{2,6},{3},{4},{7}}=>5
[6,3,4,7,2,5,1]=>[5,2,3,6,1,4,7]=>{{1,5},{2},{3},{4,6},{7}}=>{{1},{2,6},{3},{4},{5,7}}=>1
[6,3,4,7,5,1,2]=>[7,2,3,5,1,4,6]=>{{1,7},{2},{3},{4,5},{6}}=>{{1,2},{3},{4},{5,6},{7}}=>2
[6,3,4,7,5,2,1]=>[6,2,3,5,1,4,7]=>{{1,6},{2},{3},{4,5},{7}}=>{{1},{2,7},{3},{4},{5,6}}=>1
[6,3,5,1,2,4,7]=>[5,2,6,3,1,7,4]=>{{1,5},{2},{3,6,7},{4}}=>{{1,4,7},{2,6},{3},{5}}=>7
[6,3,5,1,2,7,4]=>[5,2,7,3,1,6,4]=>{{1,5},{2},{3,7},{4},{6}}=>{{1,4},{2,6},{3},{5},{7}}=>4
[6,3,5,1,4,2,7]=>[6,2,5,3,1,7,4]=>{{1,6,7},{2},{3,5},{4}}=>{{1,2,7},{3},{4,6},{5}}=>7
[6,3,5,1,4,7,2]=>[7,2,5,3,1,6,4]=>{{1,7},{2},{3,5},{4},{6}}=>{{1,2},{3},{4,6},{5},{7}}=>2
[6,3,5,1,7,2,4]=>[6,2,7,3,1,5,4]=>{{1,6},{2},{3,7},{4},{5}}=>{{1,4},{2,7},{3},{5},{6}}=>4
[6,3,5,1,7,4,2]=>[7,2,6,3,1,5,4]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,2},{3},{4,7},{5},{6}}=>2
[6,3,5,2,1,4,7]=>[4,2,6,3,1,7,5]=>{{1,4},{2},{3,6,7},{5}}=>{{1,4,7},{2,5},{3},{6}}=>7
[6,3,5,2,1,7,4]=>[4,2,7,3,1,6,5]=>{{1,4},{2},{3,7},{5},{6}}=>{{1,4},{2,5},{3},{6},{7}}=>4
[6,3,5,2,4,1,7]=>[4,2,5,3,1,7,6]=>{{1,4},{2},{3,5},{6,7}}=>{{1,7},{2,5},{3},{4,6}}=>7
[6,3,5,2,4,7,1]=>[4,2,5,3,1,6,7]=>{{1,4},{2},{3,5},{6},{7}}=>{{1},{2,5},{3},{4,6},{7}}=>1
[6,3,5,2,7,1,4]=>[4,2,7,3,1,5,6]=>{{1,4},{2},{3,7},{5},{6}}=>{{1,4},{2,5},{3},{6},{7}}=>4
[6,3,5,2,7,4,1]=>[4,2,6,3,1,5,7]=>{{1,4},{2},{3,6},{5},{7}}=>{{1},{2,5},{3},{4,7},{6}}=>1
[6,3,5,4,1,2,7]=>[6,2,4,3,1,7,5]=>{{1,6,7},{2},{3,4},{5}}=>{{1,2,7},{3},{4,5},{6}}=>7
[6,3,5,4,1,7,2]=>[7,2,4,3,1,6,5]=>{{1,7},{2},{3,4},{5},{6}}=>{{1,2},{3},{4,5},{6},{7}}=>2
[6,3,5,4,2,1,7]=>[5,2,4,3,1,7,6]=>{{1,5},{2},{3,4},{6,7}}=>{{1,7},{2,6},{3},{4,5}}=>7
[6,3,5,4,2,7,1]=>[5,2,4,3,1,6,7]=>{{1,5},{2},{3,4},{6},{7}}=>{{1},{2,6},{3},{4,5},{7}}=>1
[6,3,5,4,7,1,2]=>[7,2,4,3,1,5,6]=>{{1,7},{2},{3,4},{5},{6}}=>{{1,2},{3},{4,5},{6},{7}}=>2
[6,3,5,4,7,2,1]=>[6,2,4,3,1,5,7]=>{{1,6},{2},{3,4},{5},{7}}=>{{1},{2,7},{3},{4,5},{6}}=>1
[6,3,5,7,1,2,4]=>[6,2,7,3,1,4,5]=>{{1,6},{2},{3,7},{4},{5}}=>{{1,4},{2,7},{3},{5},{6}}=>4
[6,3,5,7,1,4,2]=>[7,2,6,3,1,4,5]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,2},{3},{4,7},{5},{6}}=>2
[6,3,5,7,2,1,4]=>[5,2,7,3,1,4,6]=>{{1,5},{2},{3,7},{4},{6}}=>{{1,4},{2,6},{3},{5},{7}}=>4
[6,3,5,7,2,4,1]=>[5,2,6,3,1,4,7]=>{{1,5},{2},{3,6},{4},{7}}=>{{1},{2,6},{3},{4,7},{5}}=>1
[6,3,5,7,4,1,2]=>[7,2,5,3,1,4,6]=>{{1,7},{2},{3,5},{4},{6}}=>{{1,2},{3},{4,6},{5},{7}}=>2
[6,3,5,7,4,2,1]=>[6,2,5,3,1,4,7]=>{{1,6},{2},{3,5},{4},{7}}=>{{1},{2,7},{3},{4,6},{5}}=>1
[6,3,7,1,2,4,5]=>[5,2,6,7,1,3,4]=>{{1,5},{2},{3,6},{4,7}}=>{{1,5},{2,6},{3},{4,7}}=>5
[6,3,7,1,2,5,4]=>[5,2,7,6,1,3,4]=>{{1,5},{2},{3,7},{4,6}}=>{{1,4},{2,6},{3},{5,7}}=>4
[6,3,7,1,4,2,5]=>[6,2,5,7,1,3,4]=>{{1,6},{2},{3,5},{4,7}}=>{{1,5},{2,7},{3},{4,6}}=>5
[6,3,7,1,4,5,2]=>[7,2,5,6,1,3,4]=>{{1,7},{2},{3,5},{4,6}}=>{{1,2},{3},{4,6},{5,7}}=>2
[6,3,7,1,5,2,4]=>[6,2,7,5,1,3,4]=>{{1,6},{2},{3,7},{4,5}}=>{{1,4},{2,7},{3},{5,6}}=>4
[6,3,7,1,5,4,2]=>[7,2,6,5,1,3,4]=>{{1,7},{2},{3,6},{4,5}}=>{{1,2},{3},{4,7},{5,6}}=>2
[6,3,7,2,1,4,5]=>[4,2,6,7,1,3,5]=>{{1,4,7},{2},{3,6},{5}}=>{{1,2,5},{3},{4,7},{6}}=>5
[6,3,7,2,1,5,4]=>[4,2,7,6,1,3,5]=>{{1,4,6},{2},{3,7},{5}}=>{{1,4},{2,5,7},{3},{6}}=>4
[6,3,7,2,4,1,5]=>[4,2,5,7,1,3,6]=>{{1,4,7},{2},{3,5},{6}}=>{{1,2,5},{3},{4,6},{7}}=>5
[6,3,7,2,4,5,1]=>[4,2,5,6,1,3,7]=>{{1,4,6},{2},{3,5},{7}}=>{{1},{2,5,7},{3},{4,6}}=>1
[6,3,7,2,5,1,4]=>[4,2,7,5,1,3,6]=>{{1,4,5},{2},{3,7},{6}}=>{{1,4},{2,5,6},{3},{7}}=>4
[6,3,7,2,5,4,1]=>[4,2,6,5,1,3,7]=>{{1,4,5},{2},{3,6},{7}}=>{{1},{2,5,6},{3},{4,7}}=>1
[6,3,7,4,1,2,5]=>[6,2,4,7,1,3,5]=>{{1,6},{2},{3,4,7},{5}}=>{{1,4,5},{2,7},{3},{6}}=>5
[6,3,7,4,1,5,2]=>[7,2,4,6,1,3,5]=>{{1,7},{2},{3,4,6},{5}}=>{{1,2},{3},{4,5,7},{6}}=>2
[6,3,7,4,2,1,5]=>[5,2,4,7,1,3,6]=>{{1,5},{2},{3,4,7},{6}}=>{{1,4,5},{2,6},{3},{7}}=>5
[6,3,7,4,2,5,1]=>[5,2,4,6,1,3,7]=>{{1,5},{2},{3,4,6},{7}}=>{{1},{2,6},{3},{4,5,7}}=>1
[6,3,7,4,5,1,2]=>[7,2,4,5,1,3,6]=>{{1,7},{2},{3,4,5},{6}}=>{{1,2},{3},{4,5,6},{7}}=>2
[6,3,7,4,5,2,1]=>[6,2,4,5,1,3,7]=>{{1,6},{2},{3,4,5},{7}}=>{{1},{2,7},{3},{4,5,6}}=>1
[6,3,7,5,1,2,4]=>[6,2,7,4,1,3,5]=>{{1,6},{2},{3,7},{4},{5}}=>{{1,4},{2,7},{3},{5},{6}}=>4
[6,3,7,5,1,4,2]=>[7,2,6,4,1,3,5]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,2},{3},{4,7},{5},{6}}=>2
[6,3,7,5,2,1,4]=>[5,2,7,4,1,3,6]=>{{1,5},{2},{3,7},{4},{6}}=>{{1,4},{2,6},{3},{5},{7}}=>4
[6,3,7,5,2,4,1]=>[5,2,6,4,1,3,7]=>{{1,5},{2},{3,6},{4},{7}}=>{{1},{2,6},{3},{4,7},{5}}=>1
[6,3,7,5,4,1,2]=>[7,2,5,4,1,3,6]=>{{1,7},{2},{3,5},{4},{6}}=>{{1,2},{3},{4,6},{5},{7}}=>2
[6,3,7,5,4,2,1]=>[6,2,5,4,1,3,7]=>{{1,6},{2},{3,5},{4},{7}}=>{{1},{2,7},{3},{4,6},{5}}=>1
[6,4,1,2,3,5,7]=>[4,5,2,6,1,7,3]=>{{1,4,6,7},{2,5},{3}}=>{{1,2,5,7},{3,6},{4}}=>7
[6,4,1,2,3,7,5]=>[4,5,2,7,1,6,3]=>{{1,4,7},{2,5},{3},{6}}=>{{1,2,5},{3,6},{4},{7}}=>5
[6,4,1,2,5,3,7]=>[4,6,2,5,1,7,3]=>{{1,4,5},{2,6,7},{3}}=>{{1,3,7},{2,5,6},{4}}=>7
[6,4,1,2,5,7,3]=>[4,7,2,5,1,6,3]=>{{1,4,5},{2,7},{3},{6}}=>{{1,3},{2,5,6},{4},{7}}=>3
[6,4,1,2,7,3,5]=>[4,6,2,7,1,5,3]=>{{1,4,7},{2,6},{3},{5}}=>{{1,2,5},{3,7},{4},{6}}=>5
[6,4,1,2,7,5,3]=>[4,7,2,6,1,5,3]=>{{1,4,6},{2,7},{3},{5}}=>{{1,3},{2,5,7},{4},{6}}=>3
[6,4,1,3,2,5,7]=>[5,4,2,6,1,7,3]=>{{1,5},{2,4,6,7},{3}}=>{{1,3,5,7},{2,6},{4}}=>7
[6,4,1,3,2,7,5]=>[5,4,2,7,1,6,3]=>{{1,5},{2,4,7},{3},{6}}=>{{1,3,5},{2,6},{4},{7}}=>5
[6,4,1,3,5,2,7]=>[6,4,2,5,1,7,3]=>{{1,6,7},{2,4,5},{3}}=>{{1,2,7},{3,5,6},{4}}=>7
[6,4,1,3,5,7,2]=>[7,4,2,5,1,6,3]=>{{1,7},{2,4,5},{3},{6}}=>{{1,2},{3,5,6},{4},{7}}=>2
[6,4,1,3,7,2,5]=>[6,4,2,7,1,5,3]=>{{1,6},{2,4,7},{3},{5}}=>{{1,3,5},{2,7},{4},{6}}=>5
[6,4,1,3,7,5,2]=>[7,4,2,6,1,5,3]=>{{1,7},{2,4,6},{3},{5}}=>{{1,2},{3,5,7},{4},{6}}=>2
[6,4,1,5,2,3,7]=>[5,6,2,4,1,7,3]=>{{1,5},{2,6,7},{3},{4}}=>{{1,3,7},{2,6},{4},{5}}=>7
[6,4,1,5,2,7,3]=>[5,7,2,4,1,6,3]=>{{1,5},{2,7},{3},{4},{6}}=>{{1,3},{2,6},{4},{5},{7}}=>3
[6,4,1,5,3,2,7]=>[6,5,2,4,1,7,3]=>{{1,6,7},{2,5},{3},{4}}=>{{1,2,7},{3,6},{4},{5}}=>7
[6,4,1,5,3,7,2]=>[7,5,2,4,1,6,3]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,2},{3,6},{4},{5},{7}}=>2
[6,4,1,5,7,2,3]=>[6,7,2,4,1,5,3]=>{{1,6},{2,7},{3},{4},{5}}=>{{1,3},{2,7},{4},{5},{6}}=>3
[6,4,1,5,7,3,2]=>[7,6,2,4,1,5,3]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,2},{3,7},{4},{5},{6}}=>2
[6,4,1,7,2,3,5]=>[5,6,2,7,1,4,3]=>{{1,5},{2,6},{3},{4,7}}=>{{1,5},{2,6},{3,7},{4}}=>5
[6,4,1,7,2,5,3]=>[5,7,2,6,1,4,3]=>{{1,5},{2,7},{3},{4,6}}=>{{1,3},{2,6},{4},{5,7}}=>3
[6,4,1,7,3,2,5]=>[6,5,2,7,1,4,3]=>{{1,6},{2,5},{3},{4,7}}=>{{1,5},{2,7},{3,6},{4}}=>5
[6,4,1,7,3,5,2]=>[7,5,2,6,1,4,3]=>{{1,7},{2,5},{3},{4,6}}=>{{1,2},{3,6},{4},{5,7}}=>2
[6,4,1,7,5,2,3]=>[6,7,2,5,1,4,3]=>{{1,6},{2,7},{3},{4,5}}=>{{1,3},{2,7},{4},{5,6}}=>3
[6,4,1,7,5,3,2]=>[7,6,2,5,1,4,3]=>{{1,7},{2,6},{3},{4,5}}=>{{1,2},{3,7},{4},{5,6}}=>2
[6,4,2,1,3,5,7]=>[3,5,2,6,1,7,4]=>{{1,3},{2,5},{4,6,7}}=>{{1,5,7},{2,4},{3,6}}=>7
[6,4,2,1,3,7,5]=>[3,5,2,7,1,6,4]=>{{1,3},{2,5},{4,7},{6}}=>{{1,5},{2,4},{3,6},{7}}=>5
[6,4,2,1,5,3,7]=>[3,6,2,5,1,7,4]=>{{1,3},{2,6,7},{4,5}}=>{{1,3,7},{2,4},{5,6}}=>7
[6,4,2,1,5,7,3]=>[3,7,2,5,1,6,4]=>{{1,3},{2,7},{4,5},{6}}=>{{1,3},{2,4},{5,6},{7}}=>3
[6,4,2,1,7,3,5]=>[3,6,2,7,1,5,4]=>{{1,3},{2,6},{4,7},{5}}=>{{1,5},{2,4},{3,7},{6}}=>5
[6,4,2,1,7,5,3]=>[3,7,2,6,1,5,4]=>{{1,3},{2,7},{4,6},{5}}=>{{1,3},{2,4},{5,7},{6}}=>3
[6,4,2,3,1,5,7]=>[3,4,2,6,1,7,5]=>{{1,3},{2,4,6,7},{5}}=>{{1,3,5,7},{2,4},{6}}=>7
[6,4,2,3,1,7,5]=>[3,4,2,7,1,6,5]=>{{1,3},{2,4,7},{5},{6}}=>{{1,3,5},{2,4},{6},{7}}=>5
[6,4,2,3,5,1,7]=>[3,4,2,5,1,7,6]=>{{1,3},{2,4,5},{6,7}}=>{{1,7},{2,4},{3,5,6}}=>7
[6,4,2,3,5,7,1]=>[3,4,2,5,1,6,7]=>{{1,3},{2,4,5},{6},{7}}=>{{1},{2,4},{3,5,6},{7}}=>1
[6,4,2,3,7,1,5]=>[3,4,2,7,1,5,6]=>{{1,3},{2,4,7},{5},{6}}=>{{1,3,5},{2,4},{6},{7}}=>5
[6,4,2,3,7,5,1]=>[3,4,2,6,1,5,7]=>{{1,3},{2,4,6},{5},{7}}=>{{1},{2,4},{3,5,7},{6}}=>1
[6,4,2,5,1,3,7]=>[3,6,2,4,1,7,5]=>{{1,3},{2,6,7},{4},{5}}=>{{1,3,7},{2,4},{5},{6}}=>7
[6,4,2,5,1,7,3]=>[3,7,2,4,1,6,5]=>{{1,3},{2,7},{4},{5},{6}}=>{{1,3},{2,4},{5},{6},{7}}=>3
[6,4,2,5,3,1,7]=>[3,5,2,4,1,7,6]=>{{1,3},{2,5},{4},{6,7}}=>{{1,7},{2,4},{3,6},{5}}=>7
[6,4,2,5,3,7,1]=>[3,5,2,4,1,6,7]=>{{1,3},{2,5},{4},{6},{7}}=>{{1},{2,4},{3,6},{5},{7}}=>1
[6,4,2,5,7,1,3]=>[3,7,2,4,1,5,6]=>{{1,3},{2,7},{4},{5},{6}}=>{{1,3},{2,4},{5},{6},{7}}=>3
[6,4,2,5,7,3,1]=>[3,6,2,4,1,5,7]=>{{1,3},{2,6},{4},{5},{7}}=>{{1},{2,4},{3,7},{5},{6}}=>1
[6,4,2,7,1,3,5]=>[3,6,2,7,1,4,5]=>{{1,3},{2,6},{4,7},{5}}=>{{1,5},{2,4},{3,7},{6}}=>5
[6,4,2,7,1,5,3]=>[3,7,2,6,1,4,5]=>{{1,3},{2,7},{4,6},{5}}=>{{1,3},{2,4},{5,7},{6}}=>3
[6,4,2,7,3,1,5]=>[3,5,2,7,1,4,6]=>{{1,3},{2,5},{4,7},{6}}=>{{1,5},{2,4},{3,6},{7}}=>5
[6,4,2,7,3,5,1]=>[3,5,2,6,1,4,7]=>{{1,3},{2,5},{4,6},{7}}=>{{1},{2,4},{3,6},{5,7}}=>1
[6,4,2,7,5,1,3]=>[3,7,2,5,1,4,6]=>{{1,3},{2,7},{4,5},{6}}=>{{1,3},{2,4},{5,6},{7}}=>3
[6,4,2,7,5,3,1]=>[3,6,2,5,1,4,7]=>{{1,3},{2,6},{4,5},{7}}=>{{1},{2,4},{3,7},{5,6}}=>1
[6,4,3,1,2,5,7]=>[5,3,2,6,1,7,4]=>{{1,5},{2,3},{4,6,7}}=>{{1,5,7},{2,6},{3,4}}=>7
[6,4,3,1,2,7,5]=>[5,3,2,7,1,6,4]=>{{1,5},{2,3},{4,7},{6}}=>{{1,5},{2,6},{3,4},{7}}=>5
[6,4,3,1,5,2,7]=>[6,3,2,5,1,7,4]=>{{1,6,7},{2,3},{4,5}}=>{{1,2,7},{3,4},{5,6}}=>7
[6,4,3,1,5,7,2]=>[7,3,2,5,1,6,4]=>{{1,7},{2,3},{4,5},{6}}=>{{1,2},{3,4},{5,6},{7}}=>2
[6,4,3,1,7,2,5]=>[6,3,2,7,1,5,4]=>{{1,6},{2,3},{4,7},{5}}=>{{1,5},{2,7},{3,4},{6}}=>5
[6,4,3,1,7,5,2]=>[7,3,2,6,1,5,4]=>{{1,7},{2,3},{4,6},{5}}=>{{1,2},{3,4},{5,7},{6}}=>2
[6,4,3,2,1,5,7]=>[4,3,2,6,1,7,5]=>{{1,4,6,7},{2,3},{5}}=>{{1,2,5,7},{3,4},{6}}=>7
[6,4,3,2,1,7,5]=>[4,3,2,7,1,6,5]=>{{1,4,7},{2,3},{5},{6}}=>{{1,2,5},{3,4},{6},{7}}=>5
[6,4,3,2,5,1,7]=>[4,3,2,5,1,7,6]=>{{1,4,5},{2,3},{6,7}}=>{{1,7},{2,5,6},{3,4}}=>7
[6,4,3,2,5,7,1]=>[4,3,2,5,1,6,7]=>{{1,4,5},{2,3},{6},{7}}=>{{1},{2,5,6},{3,4},{7}}=>1
[6,4,3,2,7,1,5]=>[4,3,2,7,1,5,6]=>{{1,4,7},{2,3},{5},{6}}=>{{1,2,5},{3,4},{6},{7}}=>5
[6,4,3,2,7,5,1]=>[4,3,2,6,1,5,7]=>{{1,4,6},{2,3},{5},{7}}=>{{1},{2,5,7},{3,4},{6}}=>1
[6,4,3,5,1,2,7]=>[6,3,2,4,1,7,5]=>{{1,6,7},{2,3},{4},{5}}=>{{1,2,7},{3,4},{5},{6}}=>7
[6,4,3,5,1,7,2]=>[7,3,2,4,1,6,5]=>{{1,7},{2,3},{4},{5},{6}}=>{{1,2},{3,4},{5},{6},{7}}=>2
[6,4,3,5,2,1,7]=>[5,3,2,4,1,7,6]=>{{1,5},{2,3},{4},{6,7}}=>{{1,7},{2,6},{3,4},{5}}=>7
[6,4,3,5,2,7,1]=>[5,3,2,4,1,6,7]=>{{1,5},{2,3},{4},{6},{7}}=>{{1},{2,6},{3,4},{5},{7}}=>1
[6,4,3,5,7,1,2]=>[7,3,2,4,1,5,6]=>{{1,7},{2,3},{4},{5},{6}}=>{{1,2},{3,4},{5},{6},{7}}=>2
[6,4,3,5,7,2,1]=>[6,3,2,4,1,5,7]=>{{1,6},{2,3},{4},{5},{7}}=>{{1},{2,7},{3,4},{5},{6}}=>1
[6,4,3,7,1,2,5]=>[6,3,2,7,1,4,5]=>{{1,6},{2,3},{4,7},{5}}=>{{1,5},{2,7},{3,4},{6}}=>5
[6,4,3,7,1,5,2]=>[7,3,2,6,1,4,5]=>{{1,7},{2,3},{4,6},{5}}=>{{1,2},{3,4},{5,7},{6}}=>2
[6,4,3,7,2,1,5]=>[5,3,2,7,1,4,6]=>{{1,5},{2,3},{4,7},{6}}=>{{1,5},{2,6},{3,4},{7}}=>5
[6,4,3,7,2,5,1]=>[5,3,2,6,1,4,7]=>{{1,5},{2,3},{4,6},{7}}=>{{1},{2,6},{3,4},{5,7}}=>1
[6,4,3,7,5,1,2]=>[7,3,2,5,1,4,6]=>{{1,7},{2,3},{4,5},{6}}=>{{1,2},{3,4},{5,6},{7}}=>2
[6,4,3,7,5,2,1]=>[6,3,2,5,1,4,7]=>{{1,6},{2,3},{4,5},{7}}=>{{1},{2,7},{3,4},{5,6}}=>1
[6,4,5,1,2,3,7]=>[5,6,2,3,1,7,4]=>{{1,5},{2,6,7},{3},{4}}=>{{1,3,7},{2,6},{4},{5}}=>7
[6,4,5,1,2,7,3]=>[5,7,2,3,1,6,4]=>{{1,5},{2,7},{3},{4},{6}}=>{{1,3},{2,6},{4},{5},{7}}=>3
[6,4,5,1,3,2,7]=>[6,5,2,3,1,7,4]=>{{1,6,7},{2,5},{3},{4}}=>{{1,2,7},{3,6},{4},{5}}=>7
[6,4,5,1,3,7,2]=>[7,5,2,3,1,6,4]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,2},{3,6},{4},{5},{7}}=>2
[6,4,5,1,7,2,3]=>[6,7,2,3,1,5,4]=>{{1,6},{2,7},{3},{4},{5}}=>{{1,3},{2,7},{4},{5},{6}}=>3
[6,4,5,1,7,3,2]=>[7,6,2,3,1,5,4]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,2},{3,7},{4},{5},{6}}=>2
[6,4,5,2,1,3,7]=>[4,6,2,3,1,7,5]=>{{1,4},{2,6,7},{3},{5}}=>{{1,3,7},{2,5},{4},{6}}=>7
[6,4,5,2,1,7,3]=>[4,7,2,3,1,6,5]=>{{1,4},{2,7},{3},{5},{6}}=>{{1,3},{2,5},{4},{6},{7}}=>3
[6,4,5,2,3,1,7]=>[4,5,2,3,1,7,6]=>{{1,4},{2,5},{3},{6,7}}=>{{1,7},{2,5},{3,6},{4}}=>7
[6,4,5,2,3,7,1]=>[4,5,2,3,1,6,7]=>{{1,4},{2,5},{3},{6},{7}}=>{{1},{2,5},{3,6},{4},{7}}=>1
[6,4,5,2,7,1,3]=>[4,7,2,3,1,5,6]=>{{1,4},{2,7},{3},{5},{6}}=>{{1,3},{2,5},{4},{6},{7}}=>3
[6,4,5,2,7,3,1]=>[4,6,2,3,1,5,7]=>{{1,4},{2,6},{3},{5},{7}}=>{{1},{2,5},{3,7},{4},{6}}=>1
[6,4,5,3,1,2,7]=>[6,4,2,3,1,7,5]=>{{1,6,7},{2,4},{3},{5}}=>{{1,2,7},{3,5},{4},{6}}=>7
[6,4,5,3,1,7,2]=>[7,4,2,3,1,6,5]=>{{1,7},{2,4},{3},{5},{6}}=>{{1,2},{3,5},{4},{6},{7}}=>2
[6,4,5,3,2,1,7]=>[5,4,2,3,1,7,6]=>{{1,5},{2,4},{3},{6,7}}=>{{1,7},{2,6},{3,5},{4}}=>7
[6,4,5,3,2,7,1]=>[5,4,2,3,1,6,7]=>{{1,5},{2,4},{3},{6},{7}}=>{{1},{2,6},{3,5},{4},{7}}=>1
[6,4,5,3,7,1,2]=>[7,4,2,3,1,5,6]=>{{1,7},{2,4},{3},{5},{6}}=>{{1,2},{3,5},{4},{6},{7}}=>2
[6,4,5,3,7,2,1]=>[6,4,2,3,1,5,7]=>{{1,6},{2,4},{3},{5},{7}}=>{{1},{2,7},{3,5},{4},{6}}=>1
[6,4,5,7,1,2,3]=>[6,7,2,3,1,4,5]=>{{1,6},{2,7},{3},{4},{5}}=>{{1,3},{2,7},{4},{5},{6}}=>3
[6,4,5,7,1,3,2]=>[7,6,2,3,1,4,5]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,2},{3,7},{4},{5},{6}}=>2
[6,4,5,7,2,1,3]=>[5,7,2,3,1,4,6]=>{{1,5},{2,7},{3},{4},{6}}=>{{1,3},{2,6},{4},{5},{7}}=>3
[6,4,5,7,2,3,1]=>[5,6,2,3,1,4,7]=>{{1,5},{2,6},{3},{4},{7}}=>{{1},{2,6},{3,7},{4},{5}}=>1
[6,4,5,7,3,1,2]=>[7,5,2,3,1,4,6]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,2},{3,6},{4},{5},{7}}=>2
[6,4,5,7,3,2,1]=>[6,5,2,3,1,4,7]=>{{1,6},{2,5},{3},{4},{7}}=>{{1},{2,7},{3,6},{4},{5}}=>1
[6,4,7,1,2,3,5]=>[5,6,2,7,1,3,4]=>{{1,5},{2,6},{3},{4,7}}=>{{1,5},{2,6},{3,7},{4}}=>5
[6,4,7,1,2,5,3]=>[5,7,2,6,1,3,4]=>{{1,5},{2,7},{3},{4,6}}=>{{1,3},{2,6},{4},{5,7}}=>3
[6,4,7,1,3,2,5]=>[6,5,2,7,1,3,4]=>{{1,6},{2,5},{3},{4,7}}=>{{1,5},{2,7},{3,6},{4}}=>5
[6,4,7,1,3,5,2]=>[7,5,2,6,1,3,4]=>{{1,7},{2,5},{3},{4,6}}=>{{1,2},{3,6},{4},{5,7}}=>2
[6,4,7,1,5,2,3]=>[6,7,2,5,1,3,4]=>{{1,6},{2,7},{3},{4,5}}=>{{1,3},{2,7},{4},{5,6}}=>3
[6,4,7,1,5,3,2]=>[7,6,2,5,1,3,4]=>{{1,7},{2,6},{3},{4,5}}=>{{1,2},{3,7},{4},{5,6}}=>2
[6,4,7,2,1,3,5]=>[4,6,2,7,1,3,5]=>{{1,4,7},{2,6},{3},{5}}=>{{1,2,5},{3,7},{4},{6}}=>5
[6,4,7,2,1,5,3]=>[4,7,2,6,1,3,5]=>{{1,4,6},{2,7},{3},{5}}=>{{1,3},{2,5,7},{4},{6}}=>3
[6,4,7,2,3,1,5]=>[4,5,2,7,1,3,6]=>{{1,4,7},{2,5},{3},{6}}=>{{1,2,5},{3,6},{4},{7}}=>5
[6,4,7,2,3,5,1]=>[4,5,2,6,1,3,7]=>{{1,4,6},{2,5},{3},{7}}=>{{1},{2,5,7},{3,6},{4}}=>1
[6,4,7,2,5,1,3]=>[4,7,2,5,1,3,6]=>{{1,4,5},{2,7},{3},{6}}=>{{1,3},{2,5,6},{4},{7}}=>3
[6,4,7,2,5,3,1]=>[4,6,2,5,1,3,7]=>{{1,4,5},{2,6},{3},{7}}=>{{1},{2,5,6},{3,7},{4}}=>1
[6,4,7,3,1,2,5]=>[6,4,2,7,1,3,5]=>{{1,6},{2,4,7},{3},{5}}=>{{1,3,5},{2,7},{4},{6}}=>5
[6,4,7,3,1,5,2]=>[7,4,2,6,1,3,5]=>{{1,7},{2,4,6},{3},{5}}=>{{1,2},{3,5,7},{4},{6}}=>2
[6,4,7,3,2,1,5]=>[5,4,2,7,1,3,6]=>{{1,5},{2,4,7},{3},{6}}=>{{1,3,5},{2,6},{4},{7}}=>5
[6,4,7,3,2,5,1]=>[5,4,2,6,1,3,7]=>{{1,5},{2,4,6},{3},{7}}=>{{1},{2,6},{3,5,7},{4}}=>1
[6,4,7,3,5,1,2]=>[7,4,2,5,1,3,6]=>{{1,7},{2,4,5},{3},{6}}=>{{1,2},{3,5,6},{4},{7}}=>2
[6,4,7,3,5,2,1]=>[6,4,2,5,1,3,7]=>{{1,6},{2,4,5},{3},{7}}=>{{1},{2,7},{3,5,6},{4}}=>1
[6,4,7,5,1,2,3]=>[6,7,2,4,1,3,5]=>{{1,6},{2,7},{3},{4},{5}}=>{{1,3},{2,7},{4},{5},{6}}=>3
[6,4,7,5,1,3,2]=>[7,6,2,4,1,3,5]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,2},{3,7},{4},{5},{6}}=>2
[6,4,7,5,2,1,3]=>[5,7,2,4,1,3,6]=>{{1,5},{2,7},{3},{4},{6}}=>{{1,3},{2,6},{4},{5},{7}}=>3
[6,4,7,5,2,3,1]=>[5,6,2,4,1,3,7]=>{{1,5},{2,6},{3},{4},{7}}=>{{1},{2,6},{3,7},{4},{5}}=>1
[6,4,7,5,3,1,2]=>[7,5,2,4,1,3,6]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,2},{3,6},{4},{5},{7}}=>2
[6,4,7,5,3,2,1]=>[6,5,2,4,1,3,7]=>{{1,6},{2,5},{3},{4},{7}}=>{{1},{2,7},{3,6},{4},{5}}=>1
[6,5,1,2,3,4,7]=>[4,5,6,2,1,7,3]=>{{1,4},{2,5},{3,6,7}}=>{{1,4,7},{2,5},{3,6}}=>7
[6,5,1,2,3,7,4]=>[4,5,7,2,1,6,3]=>{{1,4},{2,5},{3,7},{6}}=>{{1,4},{2,5},{3,6},{7}}=>4
[6,5,1,2,4,3,7]=>[4,6,5,2,1,7,3]=>{{1,4},{2,6,7},{3,5}}=>{{1,3,7},{2,5},{4,6}}=>7
[6,5,1,2,4,7,3]=>[4,7,5,2,1,6,3]=>{{1,4},{2,7},{3,5},{6}}=>{{1,3},{2,5},{4,6},{7}}=>3
[6,5,1,2,7,3,4]=>[4,6,7,2,1,5,3]=>{{1,4},{2,6},{3,7},{5}}=>{{1,4},{2,5},{3,7},{6}}=>4
[6,5,1,2,7,4,3]=>[4,7,6,2,1,5,3]=>{{1,4},{2,7},{3,6},{5}}=>{{1,3},{2,5},{4,7},{6}}=>3
[6,5,1,3,2,4,7]=>[5,4,6,2,1,7,3]=>{{1,5},{2,4},{3,6,7}}=>{{1,4,7},{2,6},{3,5}}=>7
[6,5,1,3,2,7,4]=>[5,4,7,2,1,6,3]=>{{1,5},{2,4},{3,7},{6}}=>{{1,4},{2,6},{3,5},{7}}=>4
[6,5,1,3,4,2,7]=>[6,4,5,2,1,7,3]=>{{1,6,7},{2,4},{3,5}}=>{{1,2,7},{3,5},{4,6}}=>7
[6,5,1,3,4,7,2]=>[7,4,5,2,1,6,3]=>{{1,7},{2,4},{3,5},{6}}=>{{1,2},{3,5},{4,6},{7}}=>2
[6,5,1,3,7,2,4]=>[6,4,7,2,1,5,3]=>{{1,6},{2,4},{3,7},{5}}=>{{1,4},{2,7},{3,5},{6}}=>4
[6,5,1,3,7,4,2]=>[7,4,6,2,1,5,3]=>{{1,7},{2,4},{3,6},{5}}=>{{1,2},{3,5},{4,7},{6}}=>2
[6,5,1,4,2,3,7]=>[5,6,4,2,1,7,3]=>{{1,5},{2,6,7},{3,4}}=>{{1,3,7},{2,6},{4,5}}=>7
[6,5,1,4,2,7,3]=>[5,7,4,2,1,6,3]=>{{1,5},{2,7},{3,4},{6}}=>{{1,3},{2,6},{4,5},{7}}=>3
[6,5,1,4,3,2,7]=>[6,5,4,2,1,7,3]=>{{1,6,7},{2,5},{3,4}}=>{{1,2,7},{3,6},{4,5}}=>7
[6,5,1,4,3,7,2]=>[7,5,4,2,1,6,3]=>{{1,7},{2,5},{3,4},{6}}=>{{1,2},{3,6},{4,5},{7}}=>2
[6,5,1,4,7,2,3]=>[6,7,4,2,1,5,3]=>{{1,6},{2,7},{3,4},{5}}=>{{1,3},{2,7},{4,5},{6}}=>3
[6,5,1,4,7,3,2]=>[7,6,4,2,1,5,3]=>{{1,7},{2,6},{3,4},{5}}=>{{1,2},{3,7},{4,5},{6}}=>2
[6,5,1,7,2,3,4]=>[5,6,7,2,1,4,3]=>{{1,5},{2,6},{3,7},{4}}=>{{1,4},{2,6},{3,7},{5}}=>4
[6,5,1,7,2,4,3]=>[5,7,6,2,1,4,3]=>{{1,5},{2,7},{3,6},{4}}=>{{1,3},{2,6},{4,7},{5}}=>3
[6,5,1,7,3,2,4]=>[6,5,7,2,1,4,3]=>{{1,6},{2,5},{3,7},{4}}=>{{1,4},{2,7},{3,6},{5}}=>4
[6,5,1,7,3,4,2]=>[7,5,6,2,1,4,3]=>{{1,7},{2,5},{3,6},{4}}=>{{1,2},{3,6},{4,7},{5}}=>2
[6,5,1,7,4,2,3]=>[6,7,5,2,1,4,3]=>{{1,6},{2,7},{3,5},{4}}=>{{1,3},{2,7},{4,6},{5}}=>3
[6,5,1,7,4,3,2]=>[7,6,5,2,1,4,3]=>{{1,7},{2,6},{3,5},{4}}=>{{1,2},{3,7},{4,6},{5}}=>2
[6,5,2,1,3,4,7]=>[3,5,6,2,1,7,4]=>{{1,3,6,7},{2,5},{4}}=>{{1,2,4,7},{3,6},{5}}=>7
[6,5,2,1,3,7,4]=>[3,5,7,2,1,6,4]=>{{1,3,7},{2,5},{4},{6}}=>{{1,2,4},{3,6},{5},{7}}=>4
[6,5,2,1,4,3,7]=>[3,6,5,2,1,7,4]=>{{1,3,5},{2,6,7},{4}}=>{{1,3,7},{2,4,6},{5}}=>7
[6,5,2,1,4,7,3]=>[3,7,5,2,1,6,4]=>{{1,3,5},{2,7},{4},{6}}=>{{1,3},{2,4,6},{5},{7}}=>3
[6,5,2,1,7,3,4]=>[3,6,7,2,1,5,4]=>{{1,3,7},{2,6},{4},{5}}=>{{1,2,4},{3,7},{5},{6}}=>4
[6,5,2,1,7,4,3]=>[3,7,6,2,1,5,4]=>{{1,3,6},{2,7},{4},{5}}=>{{1,3},{2,4,7},{5},{6}}=>3
[6,5,2,3,1,4,7]=>[3,4,6,2,1,7,5]=>{{1,3,6,7},{2,4},{5}}=>{{1,2,4,7},{3,5},{6}}=>7
[6,5,2,3,1,7,4]=>[3,4,7,2,1,6,5]=>{{1,3,7},{2,4},{5},{6}}=>{{1,2,4},{3,5},{6},{7}}=>4
[6,5,2,3,4,1,7]=>[3,4,5,2,1,7,6]=>{{1,3,5},{2,4},{6,7}}=>{{1,7},{2,4,6},{3,5}}=>7
[6,5,2,3,4,7,1]=>[3,4,5,2,1,6,7]=>{{1,3,5},{2,4},{6},{7}}=>{{1},{2,4,6},{3,5},{7}}=>1
[6,5,2,3,7,1,4]=>[3,4,7,2,1,5,6]=>{{1,3,7},{2,4},{5},{6}}=>{{1,2,4},{3,5},{6},{7}}=>4
[6,5,2,3,7,4,1]=>[3,4,6,2,1,5,7]=>{{1,3,6},{2,4},{5},{7}}=>{{1},{2,4,7},{3,5},{6}}=>1
[6,5,2,4,1,3,7]=>[3,6,4,2,1,7,5]=>{{1,3,4},{2,6,7},{5}}=>{{1,3,7},{2,4,5},{6}}=>7
[6,5,2,4,1,7,3]=>[3,7,4,2,1,6,5]=>{{1,3,4},{2,7},{5},{6}}=>{{1,3},{2,4,5},{6},{7}}=>3
[6,5,2,4,3,1,7]=>[3,5,4,2,1,7,6]=>{{1,3,4},{2,5},{6,7}}=>{{1,7},{2,4,5},{3,6}}=>7
[6,5,2,4,3,7,1]=>[3,5,4,2,1,6,7]=>{{1,3,4},{2,5},{6},{7}}=>{{1},{2,4,5},{3,6},{7}}=>1
[6,5,2,4,7,1,3]=>[3,7,4,2,1,5,6]=>{{1,3,4},{2,7},{5},{6}}=>{{1,3},{2,4,5},{6},{7}}=>3
[6,5,2,4,7,3,1]=>[3,6,4,2,1,5,7]=>{{1,3,4},{2,6},{5},{7}}=>{{1},{2,4,5},{3,7},{6}}=>1
[6,5,2,7,1,3,4]=>[3,6,7,2,1,4,5]=>{{1,3,7},{2,6},{4},{5}}=>{{1,2,4},{3,7},{5},{6}}=>4
[6,5,2,7,1,4,3]=>[3,7,6,2,1,4,5]=>{{1,3,6},{2,7},{4},{5}}=>{{1,3},{2,4,7},{5},{6}}=>3
[6,5,2,7,3,1,4]=>[3,5,7,2,1,4,6]=>{{1,3,7},{2,5},{4},{6}}=>{{1,2,4},{3,6},{5},{7}}=>4
[6,5,2,7,3,4,1]=>[3,5,6,2,1,4,7]=>{{1,3,6},{2,5},{4},{7}}=>{{1},{2,4,7},{3,6},{5}}=>1
[6,5,2,7,4,1,3]=>[3,7,5,2,1,4,6]=>{{1,3,5},{2,7},{4},{6}}=>{{1,3},{2,4,6},{5},{7}}=>3
[6,5,2,7,4,3,1]=>[3,6,5,2,1,4,7]=>{{1,3,5},{2,6},{4},{7}}=>{{1},{2,4,6},{3,7},{5}}=>1
[6,5,3,1,2,4,7]=>[5,3,6,2,1,7,4]=>{{1,5},{2,3,6,7},{4}}=>{{1,3,4,7},{2,6},{5}}=>7
[6,5,3,1,2,7,4]=>[5,3,7,2,1,6,4]=>{{1,5},{2,3,7},{4},{6}}=>{{1,3,4},{2,6},{5},{7}}=>4
[6,5,3,1,4,2,7]=>[6,3,5,2,1,7,4]=>{{1,6,7},{2,3,5},{4}}=>{{1,2,7},{3,4,6},{5}}=>7
[6,5,3,1,4,7,2]=>[7,3,5,2,1,6,4]=>{{1,7},{2,3,5},{4},{6}}=>{{1,2},{3,4,6},{5},{7}}=>2
[6,5,3,1,7,2,4]=>[6,3,7,2,1,5,4]=>{{1,6},{2,3,7},{4},{5}}=>{{1,3,4},{2,7},{5},{6}}=>4
[6,5,3,1,7,4,2]=>[7,3,6,2,1,5,4]=>{{1,7},{2,3,6},{4},{5}}=>{{1,2},{3,4,7},{5},{6}}=>2
[6,5,3,2,1,4,7]=>[4,3,6,2,1,7,5]=>{{1,4},{2,3,6,7},{5}}=>{{1,3,4,7},{2,5},{6}}=>7
[6,5,3,2,1,7,4]=>[4,3,7,2,1,6,5]=>{{1,4},{2,3,7},{5},{6}}=>{{1,3,4},{2,5},{6},{7}}=>4
[6,5,3,2,4,1,7]=>[4,3,5,2,1,7,6]=>{{1,4},{2,3,5},{6,7}}=>{{1,7},{2,5},{3,4,6}}=>7
[6,5,3,2,4,7,1]=>[4,3,5,2,1,6,7]=>{{1,4},{2,3,5},{6},{7}}=>{{1},{2,5},{3,4,6},{7}}=>1
[6,5,3,2,7,1,4]=>[4,3,7,2,1,5,6]=>{{1,4},{2,3,7},{5},{6}}=>{{1,3,4},{2,5},{6},{7}}=>4
[6,5,3,2,7,4,1]=>[4,3,6,2,1,5,7]=>{{1,4},{2,3,6},{5},{7}}=>{{1},{2,5},{3,4,7},{6}}=>1
[6,5,3,4,1,2,7]=>[6,3,4,2,1,7,5]=>{{1,6,7},{2,3,4},{5}}=>{{1,2,7},{3,4,5},{6}}=>7
[6,5,3,4,1,7,2]=>[7,3,4,2,1,6,5]=>{{1,7},{2,3,4},{5},{6}}=>{{1,2},{3,4,5},{6},{7}}=>2
[6,5,3,4,2,1,7]=>[5,3,4,2,1,7,6]=>{{1,5},{2,3,4},{6,7}}=>{{1,7},{2,6},{3,4,5}}=>7
[6,5,3,4,2,7,1]=>[5,3,4,2,1,6,7]=>{{1,5},{2,3,4},{6},{7}}=>{{1},{2,6},{3,4,5},{7}}=>1
[6,5,3,4,7,1,2]=>[7,3,4,2,1,5,6]=>{{1,7},{2,3,4},{5},{6}}=>{{1,2},{3,4,5},{6},{7}}=>2
[6,5,3,4,7,2,1]=>[6,3,4,2,1,5,7]=>{{1,6},{2,3,4},{5},{7}}=>{{1},{2,7},{3,4,5},{6}}=>1
[6,5,3,7,1,2,4]=>[6,3,7,2,1,4,5]=>{{1,6},{2,3,7},{4},{5}}=>{{1,3,4},{2,7},{5},{6}}=>4
[6,5,3,7,1,4,2]=>[7,3,6,2,1,4,5]=>{{1,7},{2,3,6},{4},{5}}=>{{1,2},{3,4,7},{5},{6}}=>2
[6,5,3,7,2,1,4]=>[5,3,7,2,1,4,6]=>{{1,5},{2,3,7},{4},{6}}=>{{1,3,4},{2,6},{5},{7}}=>4
[6,5,3,7,2,4,1]=>[5,3,6,2,1,4,7]=>{{1,5},{2,3,6},{4},{7}}=>{{1},{2,6},{3,4,7},{5}}=>1
[6,5,3,7,4,1,2]=>[7,3,5,2,1,4,6]=>{{1,7},{2,3,5},{4},{6}}=>{{1,2},{3,4,6},{5},{7}}=>2
[6,5,3,7,4,2,1]=>[6,3,5,2,1,4,7]=>{{1,6},{2,3,5},{4},{7}}=>{{1},{2,7},{3,4,6},{5}}=>1
[6,5,4,1,2,3,7]=>[5,6,3,2,1,7,4]=>{{1,5},{2,6,7},{3},{4}}=>{{1,3,7},{2,6},{4},{5}}=>7
[6,5,4,1,2,7,3]=>[5,7,3,2,1,6,4]=>{{1,5},{2,7},{3},{4},{6}}=>{{1,3},{2,6},{4},{5},{7}}=>3
[6,5,4,1,3,2,7]=>[6,5,3,2,1,7,4]=>{{1,6,7},{2,5},{3},{4}}=>{{1,2,7},{3,6},{4},{5}}=>7
[6,5,4,1,3,7,2]=>[7,5,3,2,1,6,4]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,2},{3,6},{4},{5},{7}}=>2
[6,5,4,1,7,2,3]=>[6,7,3,2,1,5,4]=>{{1,6},{2,7},{3},{4},{5}}=>{{1,3},{2,7},{4},{5},{6}}=>3
[6,5,4,1,7,3,2]=>[7,6,3,2,1,5,4]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,2},{3,7},{4},{5},{6}}=>2
[6,5,4,2,1,3,7]=>[4,6,3,2,1,7,5]=>{{1,4},{2,6,7},{3},{5}}=>{{1,3,7},{2,5},{4},{6}}=>7
[6,5,4,2,1,7,3]=>[4,7,3,2,1,6,5]=>{{1,4},{2,7},{3},{5},{6}}=>{{1,3},{2,5},{4},{6},{7}}=>3
[6,5,4,2,3,1,7]=>[4,5,3,2,1,7,6]=>{{1,4},{2,5},{3},{6,7}}=>{{1,7},{2,5},{3,6},{4}}=>7
[6,5,4,2,3,7,1]=>[4,5,3,2,1,6,7]=>{{1,4},{2,5},{3},{6},{7}}=>{{1},{2,5},{3,6},{4},{7}}=>1
[6,5,4,2,7,1,3]=>[4,7,3,2,1,5,6]=>{{1,4},{2,7},{3},{5},{6}}=>{{1,3},{2,5},{4},{6},{7}}=>3
[6,5,4,2,7,3,1]=>[4,6,3,2,1,5,7]=>{{1,4},{2,6},{3},{5},{7}}=>{{1},{2,5},{3,7},{4},{6}}=>1
[6,5,4,3,1,2,7]=>[6,4,3,2,1,7,5]=>{{1,6,7},{2,4},{3},{5}}=>{{1,2,7},{3,5},{4},{6}}=>7
[6,5,4,3,1,7,2]=>[7,4,3,2,1,6,5]=>{{1,7},{2,4},{3},{5},{6}}=>{{1,2},{3,5},{4},{6},{7}}=>2
[6,5,4,3,2,1,7]=>[5,4,3,2,1,7,6]=>{{1,5},{2,4},{3},{6,7}}=>{{1,7},{2,6},{3,5},{4}}=>7
[6,5,4,3,2,7,1]=>[5,4,3,2,1,6,7]=>{{1,5},{2,4},{3},{6},{7}}=>{{1},{2,6},{3,5},{4},{7}}=>1
[6,5,4,3,7,1,2]=>[7,4,3,2,1,5,6]=>{{1,7},{2,4},{3},{5},{6}}=>{{1,2},{3,5},{4},{6},{7}}=>2
[6,5,4,3,7,2,1]=>[6,4,3,2,1,5,7]=>{{1,6},{2,4},{3},{5},{7}}=>{{1},{2,7},{3,5},{4},{6}}=>1
[6,5,4,7,1,2,3]=>[6,7,3,2,1,4,5]=>{{1,6},{2,7},{3},{4},{5}}=>{{1,3},{2,7},{4},{5},{6}}=>3
[6,5,4,7,1,3,2]=>[7,6,3,2,1,4,5]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,2},{3,7},{4},{5},{6}}=>2
[6,5,4,7,2,1,3]=>[5,7,3,2,1,4,6]=>{{1,5},{2,7},{3},{4},{6}}=>{{1,3},{2,6},{4},{5},{7}}=>3
[6,5,4,7,2,3,1]=>[5,6,3,2,1,4,7]=>{{1,5},{2,6},{3},{4},{7}}=>{{1},{2,6},{3,7},{4},{5}}=>1
[6,5,4,7,3,1,2]=>[7,5,3,2,1,4,6]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,2},{3,6},{4},{5},{7}}=>2
[6,5,4,7,3,2,1]=>[6,5,3,2,1,4,7]=>{{1,6},{2,5},{3},{4},{7}}=>{{1},{2,7},{3,6},{4},{5}}=>1
[6,5,7,1,2,3,4]=>[5,6,7,2,1,3,4]=>{{1,5},{2,6},{3,7},{4}}=>{{1,4},{2,6},{3,7},{5}}=>4
[6,5,7,1,2,4,3]=>[5,7,6,2,1,3,4]=>{{1,5},{2,7},{3,6},{4}}=>{{1,3},{2,6},{4,7},{5}}=>3
[6,5,7,1,3,2,4]=>[6,5,7,2,1,3,4]=>{{1,6},{2,5},{3,7},{4}}=>{{1,4},{2,7},{3,6},{5}}=>4
[6,5,7,1,3,4,2]=>[7,5,6,2,1,3,4]=>{{1,7},{2,5},{3,6},{4}}=>{{1,2},{3,6},{4,7},{5}}=>2
[6,5,7,1,4,2,3]=>[6,7,5,2,1,3,4]=>{{1,6},{2,7},{3,5},{4}}=>{{1,3},{2,7},{4,6},{5}}=>3
[6,5,7,1,4,3,2]=>[7,6,5,2,1,3,4]=>{{1,7},{2,6},{3,5},{4}}=>{{1,2},{3,7},{4,6},{5}}=>2
[6,5,7,2,1,3,4]=>[4,6,7,2,1,3,5]=>{{1,4},{2,6},{3,7},{5}}=>{{1,4},{2,5},{3,7},{6}}=>4
[6,5,7,2,1,4,3]=>[4,7,6,2,1,3,5]=>{{1,4},{2,7},{3,6},{5}}=>{{1,3},{2,5},{4,7},{6}}=>3
[6,5,7,2,3,1,4]=>[4,5,7,2,1,3,6]=>{{1,4},{2,5},{3,7},{6}}=>{{1,4},{2,5},{3,6},{7}}=>4
[6,5,7,2,3,4,1]=>[4,5,6,2,1,3,7]=>{{1,4},{2,5},{3,6},{7}}=>{{1},{2,5},{3,6},{4,7}}=>1
[6,5,7,2,4,1,3]=>[4,7,5,2,1,3,6]=>{{1,4},{2,7},{3,5},{6}}=>{{1,3},{2,5},{4,6},{7}}=>3
[6,5,7,2,4,3,1]=>[4,6,5,2,1,3,7]=>{{1,4},{2,6},{3,5},{7}}=>{{1},{2,5},{3,7},{4,6}}=>1
[6,5,7,3,1,2,4]=>[6,4,7,2,1,3,5]=>{{1,6},{2,4},{3,7},{5}}=>{{1,4},{2,7},{3,5},{6}}=>4
[6,5,7,3,1,4,2]=>[7,4,6,2,1,3,5]=>{{1,7},{2,4},{3,6},{5}}=>{{1,2},{3,5},{4,7},{6}}=>2
[6,5,7,3,2,1,4]=>[5,4,7,2,1,3,6]=>{{1,5},{2,4},{3,7},{6}}=>{{1,4},{2,6},{3,5},{7}}=>4
[6,5,7,3,2,4,1]=>[5,4,6,2,1,3,7]=>{{1,5},{2,4},{3,6},{7}}=>{{1},{2,6},{3,5},{4,7}}=>1
[6,5,7,3,4,1,2]=>[7,4,5,2,1,3,6]=>{{1,7},{2,4},{3,5},{6}}=>{{1,2},{3,5},{4,6},{7}}=>2
[6,5,7,3,4,2,1]=>[6,4,5,2,1,3,7]=>{{1,6},{2,4},{3,5},{7}}=>{{1},{2,7},{3,5},{4,6}}=>1
[6,5,7,4,1,2,3]=>[6,7,4,2,1,3,5]=>{{1,6},{2,7},{3,4},{5}}=>{{1,3},{2,7},{4,5},{6}}=>3
[6,5,7,4,1,3,2]=>[7,6,4,2,1,3,5]=>{{1,7},{2,6},{3,4},{5}}=>{{1,2},{3,7},{4,5},{6}}=>2
[6,5,7,4,2,1,3]=>[5,7,4,2,1,3,6]=>{{1,5},{2,7},{3,4},{6}}=>{{1,3},{2,6},{4,5},{7}}=>3
[6,5,7,4,2,3,1]=>[5,6,4,2,1,3,7]=>{{1,5},{2,6},{3,4},{7}}=>{{1},{2,6},{3,7},{4,5}}=>1
[6,5,7,4,3,1,2]=>[7,5,4,2,1,3,6]=>{{1,7},{2,5},{3,4},{6}}=>{{1,2},{3,6},{4,5},{7}}=>2
[6,5,7,4,3,2,1]=>[6,5,4,2,1,3,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1},{2,7},{3,6},{4,5}}=>1
[6,7,1,2,3,4,5]=>[4,5,6,7,1,2,3]=>{{1,4,7},{2,5},{3,6}}=>{{1,2,5},{3,6},{4,7}}=>5
[6,7,1,2,3,5,4]=>[4,5,7,6,1,2,3]=>{{1,4,6},{2,5},{3,7}}=>{{1,4},{2,5,7},{3,6}}=>4
[6,7,1,2,4,3,5]=>[4,6,5,7,1,2,3]=>{{1,4,7},{2,6},{3,5}}=>{{1,2,5},{3,7},{4,6}}=>5
[6,7,1,2,4,5,3]=>[4,7,5,6,1,2,3]=>{{1,4,6},{2,7},{3,5}}=>{{1,3},{2,5,7},{4,6}}=>3
[6,7,1,2,5,3,4]=>[4,6,7,5,1,2,3]=>{{1,4,5},{2,6},{3,7}}=>{{1,4},{2,5,6},{3,7}}=>4
[6,7,1,2,5,4,3]=>[4,7,6,5,1,2,3]=>{{1,4,5},{2,7},{3,6}}=>{{1,3},{2,5,6},{4,7}}=>3
[6,7,1,3,2,4,5]=>[5,4,6,7,1,2,3]=>{{1,5},{2,4,7},{3,6}}=>{{1,3,5},{2,6},{4,7}}=>5
[6,7,1,3,2,5,4]=>[5,4,7,6,1,2,3]=>{{1,5},{2,4,6},{3,7}}=>{{1,4},{2,6},{3,5,7}}=>4
[6,7,1,3,4,2,5]=>[6,4,5,7,1,2,3]=>{{1,6},{2,4,7},{3,5}}=>{{1,3,5},{2,7},{4,6}}=>5
[6,7,1,3,4,5,2]=>[7,4,5,6,1,2,3]=>{{1,7},{2,4,6},{3,5}}=>{{1,2},{3,5,7},{4,6}}=>2
[6,7,1,3,5,2,4]=>[6,4,7,5,1,2,3]=>{{1,6},{2,4,5},{3,7}}=>{{1,4},{2,7},{3,5,6}}=>4
[6,7,1,3,5,4,2]=>[7,4,6,5,1,2,3]=>{{1,7},{2,4,5},{3,6}}=>{{1,2},{3,5,6},{4,7}}=>2
[6,7,1,4,2,3,5]=>[5,6,4,7,1,2,3]=>{{1,5},{2,6},{3,4,7}}=>{{1,4,5},{2,6},{3,7}}=>5
[6,7,1,4,2,5,3]=>[5,7,4,6,1,2,3]=>{{1,5},{2,7},{3,4,6}}=>{{1,3},{2,6},{4,5,7}}=>3
[6,7,1,4,3,2,5]=>[6,5,4,7,1,2,3]=>{{1,6},{2,5},{3,4,7}}=>{{1,4,5},{2,7},{3,6}}=>5
[6,7,1,4,3,5,2]=>[7,5,4,6,1,2,3]=>{{1,7},{2,5},{3,4,6}}=>{{1,2},{3,6},{4,5,7}}=>2
[6,7,1,4,5,2,3]=>[6,7,4,5,1,2,3]=>{{1,6},{2,7},{3,4,5}}=>{{1,3},{2,7},{4,5,6}}=>3
[6,7,1,4,5,3,2]=>[7,6,4,5,1,2,3]=>{{1,7},{2,6},{3,4,5}}=>{{1,2},{3,7},{4,5,6}}=>2
[6,7,1,5,2,3,4]=>[5,6,7,4,1,2,3]=>{{1,5},{2,6},{3,7},{4}}=>{{1,4},{2,6},{3,7},{5}}=>4
[6,7,1,5,2,4,3]=>[5,7,6,4,1,2,3]=>{{1,5},{2,7},{3,6},{4}}=>{{1,3},{2,6},{4,7},{5}}=>3
[6,7,1,5,3,2,4]=>[6,5,7,4,1,2,3]=>{{1,6},{2,5},{3,7},{4}}=>{{1,4},{2,7},{3,6},{5}}=>4
[6,7,1,5,3,4,2]=>[7,5,6,4,1,2,3]=>{{1,7},{2,5},{3,6},{4}}=>{{1,2},{3,6},{4,7},{5}}=>2
[6,7,1,5,4,2,3]=>[6,7,5,4,1,2,3]=>{{1,6},{2,7},{3,5},{4}}=>{{1,3},{2,7},{4,6},{5}}=>3
[6,7,1,5,4,3,2]=>[7,6,5,4,1,2,3]=>{{1,7},{2,6},{3,5},{4}}=>{{1,2},{3,7},{4,6},{5}}=>2
[6,7,2,1,3,4,5]=>[3,5,6,7,1,2,4]=>{{1,3,6},{2,5},{4,7}}=>{{1,5},{2,4,7},{3,6}}=>5
[6,7,2,1,3,5,4]=>[3,5,7,6,1,2,4]=>{{1,3,7},{2,5},{4,6}}=>{{1,2,4},{3,6},{5,7}}=>4
[6,7,2,1,4,3,5]=>[3,6,5,7,1,2,4]=>{{1,3,5},{2,6},{4,7}}=>{{1,5},{2,4,6},{3,7}}=>5
[6,7,2,1,4,5,3]=>[3,7,5,6,1,2,4]=>{{1,3,5},{2,7},{4,6}}=>{{1,3},{2,4,6},{5,7}}=>3
[6,7,2,1,5,3,4]=>[3,6,7,5,1,2,4]=>{{1,3,7},{2,6},{4,5}}=>{{1,2,4},{3,7},{5,6}}=>4
[6,7,2,1,5,4,3]=>[3,7,6,5,1,2,4]=>{{1,3,6},{2,7},{4,5}}=>{{1,3},{2,4,7},{5,6}}=>3
[6,7,2,3,1,4,5]=>[3,4,6,7,1,2,5]=>{{1,3,6},{2,4,7},{5}}=>{{1,3,5},{2,4,7},{6}}=>5
[6,7,2,3,1,5,4]=>[3,4,7,6,1,2,5]=>{{1,3,7},{2,4,6},{5}}=>{{1,2,4},{3,5,7},{6}}=>4
[6,7,2,3,4,1,5]=>[3,4,5,7,1,2,6]=>{{1,3,5},{2,4,7},{6}}=>{{1,3,5},{2,4,6},{7}}=>5
[6,7,2,3,4,5,1]=>[3,4,5,6,1,2,7]=>{{1,3,5},{2,4,6},{7}}=>{{1},{2,4,6},{3,5,7}}=>1
[6,7,2,3,5,1,4]=>[3,4,7,5,1,2,6]=>{{1,3,7},{2,4,5},{6}}=>{{1,2,4},{3,5,6},{7}}=>4
[6,7,2,3,5,4,1]=>[3,4,6,5,1,2,7]=>{{1,3,6},{2,4,5},{7}}=>{{1},{2,4,7},{3,5,6}}=>1
[6,7,2,4,1,3,5]=>[3,6,4,7,1,2,5]=>{{1,3,4,7},{2,6},{5}}=>{{1,2,4,5},{3,7},{6}}=>5
[6,7,2,4,1,5,3]=>[3,7,4,6,1,2,5]=>{{1,3,4,6},{2,7},{5}}=>{{1,3},{2,4,5,7},{6}}=>3
[6,7,2,4,3,1,5]=>[3,5,4,7,1,2,6]=>{{1,3,4,7},{2,5},{6}}=>{{1,2,4,5},{3,6},{7}}=>5
[6,7,2,4,3,5,1]=>[3,5,4,6,1,2,7]=>{{1,3,4,6},{2,5},{7}}=>{{1},{2,4,5,7},{3,6}}=>1
[6,7,2,4,5,1,3]=>[3,7,4,5,1,2,6]=>{{1,3,4,5},{2,7},{6}}=>{{1,3},{2,4,5,6},{7}}=>3
[6,7,2,4,5,3,1]=>[3,6,4,5,1,2,7]=>{{1,3,4,5},{2,6},{7}}=>{{1},{2,4,5,6},{3,7}}=>1
[6,7,2,5,1,3,4]=>[3,6,7,4,1,2,5]=>{{1,3,7},{2,6},{4},{5}}=>{{1,2,4},{3,7},{5},{6}}=>4
[6,7,2,5,1,4,3]=>[3,7,6,4,1,2,5]=>{{1,3,6},{2,7},{4},{5}}=>{{1,3},{2,4,7},{5},{6}}=>3
[6,7,2,5,3,1,4]=>[3,5,7,4,1,2,6]=>{{1,3,7},{2,5},{4},{6}}=>{{1,2,4},{3,6},{5},{7}}=>4
[6,7,2,5,3,4,1]=>[3,5,6,4,1,2,7]=>{{1,3,6},{2,5},{4},{7}}=>{{1},{2,4,7},{3,6},{5}}=>1
[6,7,2,5,4,1,3]=>[3,7,5,4,1,2,6]=>{{1,3,5},{2,7},{4},{6}}=>{{1,3},{2,4,6},{5},{7}}=>3
[6,7,2,5,4,3,1]=>[3,6,5,4,1,2,7]=>{{1,3,5},{2,6},{4},{7}}=>{{1},{2,4,6},{3,7},{5}}=>1
[6,7,3,1,2,4,5]=>[5,3,6,7,1,2,4]=>{{1,5},{2,3,6},{4,7}}=>{{1,5},{2,6},{3,4,7}}=>5
[6,7,3,1,2,5,4]=>[5,3,7,6,1,2,4]=>{{1,5},{2,3,7},{4,6}}=>{{1,3,4},{2,6},{5,7}}=>4
[6,7,3,1,4,2,5]=>[6,3,5,7,1,2,4]=>{{1,6},{2,3,5},{4,7}}=>{{1,5},{2,7},{3,4,6}}=>5
[6,7,3,1,4,5,2]=>[7,3,5,6,1,2,4]=>{{1,7},{2,3,5},{4,6}}=>{{1,2},{3,4,6},{5,7}}=>2
[6,7,3,1,5,2,4]=>[6,3,7,5,1,2,4]=>{{1,6},{2,3,7},{4,5}}=>{{1,3,4},{2,7},{5,6}}=>4
[6,7,3,1,5,4,2]=>[7,3,6,5,1,2,4]=>{{1,7},{2,3,6},{4,5}}=>{{1,2},{3,4,7},{5,6}}=>2
[6,7,3,2,1,4,5]=>[4,3,6,7,1,2,5]=>{{1,4,7},{2,3,6},{5}}=>{{1,2,5},{3,4,7},{6}}=>5
[6,7,3,2,1,5,4]=>[4,3,7,6,1,2,5]=>{{1,4,6},{2,3,7},{5}}=>{{1,3,4},{2,5,7},{6}}=>4
[6,7,3,2,4,1,5]=>[4,3,5,7,1,2,6]=>{{1,4,7},{2,3,5},{6}}=>{{1,2,5},{3,4,6},{7}}=>5
[6,7,3,2,4,5,1]=>[4,3,5,6,1,2,7]=>{{1,4,6},{2,3,5},{7}}=>{{1},{2,5,7},{3,4,6}}=>1
[6,7,3,2,5,1,4]=>[4,3,7,5,1,2,6]=>{{1,4,5},{2,3,7},{6}}=>{{1,3,4},{2,5,6},{7}}=>4
[6,7,3,2,5,4,1]=>[4,3,6,5,1,2,7]=>{{1,4,5},{2,3,6},{7}}=>{{1},{2,5,6},{3,4,7}}=>1
[6,7,3,4,1,2,5]=>[6,3,4,7,1,2,5]=>{{1,6},{2,3,4,7},{5}}=>{{1,3,4,5},{2,7},{6}}=>5
[6,7,3,4,1,5,2]=>[7,3,4,6,1,2,5]=>{{1,7},{2,3,4,6},{5}}=>{{1,2},{3,4,5,7},{6}}=>2
[6,7,3,4,2,1,5]=>[5,3,4,7,1,2,6]=>{{1,5},{2,3,4,7},{6}}=>{{1,3,4,5},{2,6},{7}}=>5
[6,7,3,4,2,5,1]=>[5,3,4,6,1,2,7]=>{{1,5},{2,3,4,6},{7}}=>{{1},{2,6},{3,4,5,7}}=>1
[6,7,3,4,5,1,2]=>[7,3,4,5,1,2,6]=>{{1,7},{2,3,4,5},{6}}=>{{1,2},{3,4,5,6},{7}}=>2
[6,7,3,4,5,2,1]=>[6,3,4,5,1,2,7]=>{{1,6},{2,3,4,5},{7}}=>{{1},{2,7},{3,4,5,6}}=>1
[6,7,3,5,1,2,4]=>[6,3,7,4,1,2,5]=>{{1,6},{2,3,7},{4},{5}}=>{{1,3,4},{2,7},{5},{6}}=>4
[6,7,3,5,1,4,2]=>[7,3,6,4,1,2,5]=>{{1,7},{2,3,6},{4},{5}}=>{{1,2},{3,4,7},{5},{6}}=>2
[6,7,3,5,2,1,4]=>[5,3,7,4,1,2,6]=>{{1,5},{2,3,7},{4},{6}}=>{{1,3,4},{2,6},{5},{7}}=>4
[6,7,3,5,2,4,1]=>[5,3,6,4,1,2,7]=>{{1,5},{2,3,6},{4},{7}}=>{{1},{2,6},{3,4,7},{5}}=>1
[6,7,3,5,4,1,2]=>[7,3,5,4,1,2,6]=>{{1,7},{2,3,5},{4},{6}}=>{{1,2},{3,4,6},{5},{7}}=>2
[6,7,3,5,4,2,1]=>[6,3,5,4,1,2,7]=>{{1,6},{2,3,5},{4},{7}}=>{{1},{2,7},{3,4,6},{5}}=>1
[6,7,4,1,2,3,5]=>[5,6,3,7,1,2,4]=>{{1,5},{2,6},{3},{4,7}}=>{{1,5},{2,6},{3,7},{4}}=>5
[6,7,4,1,2,5,3]=>[5,7,3,6,1,2,4]=>{{1,5},{2,7},{3},{4,6}}=>{{1,3},{2,6},{4},{5,7}}=>3
[6,7,4,1,3,2,5]=>[6,5,3,7,1,2,4]=>{{1,6},{2,5},{3},{4,7}}=>{{1,5},{2,7},{3,6},{4}}=>5
[6,7,4,1,3,5,2]=>[7,5,3,6,1,2,4]=>{{1,7},{2,5},{3},{4,6}}=>{{1,2},{3,6},{4},{5,7}}=>2
[6,7,4,1,5,2,3]=>[6,7,3,5,1,2,4]=>{{1,6},{2,7},{3},{4,5}}=>{{1,3},{2,7},{4},{5,6}}=>3
[6,7,4,1,5,3,2]=>[7,6,3,5,1,2,4]=>{{1,7},{2,6},{3},{4,5}}=>{{1,2},{3,7},{4},{5,6}}=>2
[6,7,4,2,1,3,5]=>[4,6,3,7,1,2,5]=>{{1,4,7},{2,6},{3},{5}}=>{{1,2,5},{3,7},{4},{6}}=>5
[6,7,4,2,1,5,3]=>[4,7,3,6,1,2,5]=>{{1,4,6},{2,7},{3},{5}}=>{{1,3},{2,5,7},{4},{6}}=>3
[6,7,4,2,3,1,5]=>[4,5,3,7,1,2,6]=>{{1,4,7},{2,5},{3},{6}}=>{{1,2,5},{3,6},{4},{7}}=>5
[6,7,4,2,3,5,1]=>[4,5,3,6,1,2,7]=>{{1,4,6},{2,5},{3},{7}}=>{{1},{2,5,7},{3,6},{4}}=>1
[6,7,4,2,5,1,3]=>[4,7,3,5,1,2,6]=>{{1,4,5},{2,7},{3},{6}}=>{{1,3},{2,5,6},{4},{7}}=>3
[6,7,4,2,5,3,1]=>[4,6,3,5,1,2,7]=>{{1,4,5},{2,6},{3},{7}}=>{{1},{2,5,6},{3,7},{4}}=>1
[6,7,4,3,1,2,5]=>[6,4,3,7,1,2,5]=>{{1,6},{2,4,7},{3},{5}}=>{{1,3,5},{2,7},{4},{6}}=>5
[6,7,4,3,1,5,2]=>[7,4,3,6,1,2,5]=>{{1,7},{2,4,6},{3},{5}}=>{{1,2},{3,5,7},{4},{6}}=>2
[6,7,4,3,2,1,5]=>[5,4,3,7,1,2,6]=>{{1,5},{2,4,7},{3},{6}}=>{{1,3,5},{2,6},{4},{7}}=>5
[6,7,4,3,2,5,1]=>[5,4,3,6,1,2,7]=>{{1,5},{2,4,6},{3},{7}}=>{{1},{2,6},{3,5,7},{4}}=>1
[6,7,4,3,5,1,2]=>[7,4,3,5,1,2,6]=>{{1,7},{2,4,5},{3},{6}}=>{{1,2},{3,5,6},{4},{7}}=>2
[6,7,4,3,5,2,1]=>[6,4,3,5,1,2,7]=>{{1,6},{2,4,5},{3},{7}}=>{{1},{2,7},{3,5,6},{4}}=>1
[6,7,4,5,1,2,3]=>[6,7,3,4,1,2,5]=>{{1,6},{2,7},{3},{4},{5}}=>{{1,3},{2,7},{4},{5},{6}}=>3
[6,7,4,5,1,3,2]=>[7,6,3,4,1,2,5]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,2},{3,7},{4},{5},{6}}=>2
[6,7,4,5,2,1,3]=>[5,7,3,4,1,2,6]=>{{1,5},{2,7},{3},{4},{6}}=>{{1,3},{2,6},{4},{5},{7}}=>3
[6,7,4,5,2,3,1]=>[5,6,3,4,1,2,7]=>{{1,5},{2,6},{3},{4},{7}}=>{{1},{2,6},{3,7},{4},{5}}=>1
[6,7,4,5,3,1,2]=>[7,5,3,4,1,2,6]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,2},{3,6},{4},{5},{7}}=>2
[6,7,4,5,3,2,1]=>[6,5,3,4,1,2,7]=>{{1,6},{2,5},{3},{4},{7}}=>{{1},{2,7},{3,6},{4},{5}}=>1
[6,7,5,1,2,3,4]=>[5,6,7,3,1,2,4]=>{{1,5},{2,6},{3,7},{4}}=>{{1,4},{2,6},{3,7},{5}}=>4
[6,7,5,1,2,4,3]=>[5,7,6,3,1,2,4]=>{{1,5},{2,7},{3,6},{4}}=>{{1,3},{2,6},{4,7},{5}}=>3
[6,7,5,1,3,2,4]=>[6,5,7,3,1,2,4]=>{{1,6},{2,5},{3,7},{4}}=>{{1,4},{2,7},{3,6},{5}}=>4
[6,7,5,1,3,4,2]=>[7,5,6,3,1,2,4]=>{{1,7},{2,5},{3,6},{4}}=>{{1,2},{3,6},{4,7},{5}}=>2
[6,7,5,1,4,2,3]=>[6,7,5,3,1,2,4]=>{{1,6},{2,7},{3,5},{4}}=>{{1,3},{2,7},{4,6},{5}}=>3
[6,7,5,1,4,3,2]=>[7,6,5,3,1,2,4]=>{{1,7},{2,6},{3,5},{4}}=>{{1,2},{3,7},{4,6},{5}}=>2
[6,7,5,2,1,3,4]=>[4,6,7,3,1,2,5]=>{{1,4},{2,6},{3,7},{5}}=>{{1,4},{2,5},{3,7},{6}}=>4
[6,7,5,2,1,4,3]=>[4,7,6,3,1,2,5]=>{{1,4},{2,7},{3,6},{5}}=>{{1,3},{2,5},{4,7},{6}}=>3
[6,7,5,2,3,1,4]=>[4,5,7,3,1,2,6]=>{{1,4},{2,5},{3,7},{6}}=>{{1,4},{2,5},{3,6},{7}}=>4
[6,7,5,2,3,4,1]=>[4,5,6,3,1,2,7]=>{{1,4},{2,5},{3,6},{7}}=>{{1},{2,5},{3,6},{4,7}}=>1
[6,7,5,2,4,1,3]=>[4,7,5,3,1,2,6]=>{{1,4},{2,7},{3,5},{6}}=>{{1,3},{2,5},{4,6},{7}}=>3
[6,7,5,2,4,3,1]=>[4,6,5,3,1,2,7]=>{{1,4},{2,6},{3,5},{7}}=>{{1},{2,5},{3,7},{4,6}}=>1
[6,7,5,3,1,2,4]=>[6,4,7,3,1,2,5]=>{{1,6},{2,4},{3,7},{5}}=>{{1,4},{2,7},{3,5},{6}}=>4
[6,7,5,3,1,4,2]=>[7,4,6,3,1,2,5]=>{{1,7},{2,4},{3,6},{5}}=>{{1,2},{3,5},{4,7},{6}}=>2
[6,7,5,3,2,1,4]=>[5,4,7,3,1,2,6]=>{{1,5},{2,4},{3,7},{6}}=>{{1,4},{2,6},{3,5},{7}}=>4
[6,7,5,3,2,4,1]=>[5,4,6,3,1,2,7]=>{{1,5},{2,4},{3,6},{7}}=>{{1},{2,6},{3,5},{4,7}}=>1
[6,7,5,3,4,1,2]=>[7,4,5,3,1,2,6]=>{{1,7},{2,4},{3,5},{6}}=>{{1,2},{3,5},{4,6},{7}}=>2
[6,7,5,3,4,2,1]=>[6,4,5,3,1,2,7]=>{{1,6},{2,4},{3,5},{7}}=>{{1},{2,7},{3,5},{4,6}}=>1
[6,7,5,4,1,2,3]=>[6,7,4,3,1,2,5]=>{{1,6},{2,7},{3,4},{5}}=>{{1,3},{2,7},{4,5},{6}}=>3
[6,7,5,4,1,3,2]=>[7,6,4,3,1,2,5]=>{{1,7},{2,6},{3,4},{5}}=>{{1,2},{3,7},{4,5},{6}}=>2
[6,7,5,4,2,1,3]=>[5,7,4,3,1,2,6]=>{{1,5},{2,7},{3,4},{6}}=>{{1,3},{2,6},{4,5},{7}}=>3
[6,7,5,4,2,3,1]=>[5,6,4,3,1,2,7]=>{{1,5},{2,6},{3,4},{7}}=>{{1},{2,6},{3,7},{4,5}}=>1
[6,7,5,4,3,1,2]=>[7,5,4,3,1,2,6]=>{{1,7},{2,5},{3,4},{6}}=>{{1,2},{3,6},{4,5},{7}}=>2
[6,7,5,4,3,2,1]=>[6,5,4,3,1,2,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1},{2,7},{3,6},{4,5}}=>1
[7,1,2,3,4,5,6]=>[3,4,5,6,7,1,2]=>{{1,3,5,7},{2,4,6}}=>{{1,2,4,6},{3,5,7}}=>6
[7,1,2,3,4,6,5]=>[3,4,5,7,6,1,2]=>{{1,3,5,6},{2,4,7}}=>{{1,3,5},{2,4,6,7}}=>5
[7,1,2,3,5,4,6]=>[3,4,6,5,7,1,2]=>{{1,3,6},{2,4,5,7}}=>{{1,3,5,6},{2,4,7}}=>6
[7,1,2,3,5,6,4]=>[3,4,7,5,6,1,2]=>{{1,3,7},{2,4,5,6}}=>{{1,2,4},{3,5,6,7}}=>4
[7,1,2,3,6,4,5]=>[3,4,6,7,5,1,2]=>{{1,3,6},{2,4,7},{5}}=>{{1,3,5},{2,4,7},{6}}=>5
[7,1,2,3,6,5,4]=>[3,4,7,6,5,1,2]=>{{1,3,7},{2,4,6},{5}}=>{{1,2,4},{3,5,7},{6}}=>4
[7,1,2,4,3,5,6]=>[3,5,4,6,7,1,2]=>{{1,3,4,6},{2,5,7}}=>{{1,3,6},{2,4,5,7}}=>6
[7,1,2,4,3,6,5]=>[3,5,4,7,6,1,2]=>{{1,3,4,7},{2,5,6}}=>{{1,2,4,5},{3,6,7}}=>5
[7,1,2,4,5,3,6]=>[3,6,4,5,7,1,2]=>{{1,3,4,5,7},{2,6}}=>{{1,2,4,5,6},{3,7}}=>6
[7,1,2,4,5,6,3]=>[3,7,4,5,6,1,2]=>{{1,3,4,5,6},{2,7}}=>{{1,3},{2,4,5,6,7}}=>3
[7,1,2,4,6,3,5]=>[3,6,4,7,5,1,2]=>{{1,3,4,7},{2,6},{5}}=>{{1,2,4,5},{3,7},{6}}=>5
[7,1,2,4,6,5,3]=>[3,7,4,6,5,1,2]=>{{1,3,4,6},{2,7},{5}}=>{{1,3},{2,4,5,7},{6}}=>3
[7,1,2,5,3,4,6]=>[3,5,6,4,7,1,2]=>{{1,3,6},{2,5,7},{4}}=>{{1,3,6},{2,4,7},{5}}=>6
[7,1,2,5,3,6,4]=>[3,5,7,4,6,1,2]=>{{1,3,7},{2,5,6},{4}}=>{{1,2,4},{3,6,7},{5}}=>4
[7,1,2,5,4,3,6]=>[3,6,5,4,7,1,2]=>{{1,3,5,7},{2,6},{4}}=>{{1,2,4,6},{3,7},{5}}=>6
[7,1,2,5,4,6,3]=>[3,7,5,4,6,1,2]=>{{1,3,5,6},{2,7},{4}}=>{{1,3},{2,4,6,7},{5}}=>3
[7,1,2,5,6,3,4]=>[3,6,7,4,5,1,2]=>{{1,3,7},{2,6},{4},{5}}=>{{1,2,4},{3,7},{5},{6}}=>4
[7,1,2,5,6,4,3]=>[3,7,6,4,5,1,2]=>{{1,3,6},{2,7},{4},{5}}=>{{1,3},{2,4,7},{5},{6}}=>3
[7,1,2,6,3,4,5]=>[3,5,6,7,4,1,2]=>{{1,3,6},{2,5},{4,7}}=>{{1,5},{2,4,7},{3,6}}=>5
[7,1,2,6,3,5,4]=>[3,5,7,6,4,1,2]=>{{1,3,7},{2,5},{4,6}}=>{{1,2,4},{3,6},{5,7}}=>4
[7,1,2,6,4,3,5]=>[3,6,5,7,4,1,2]=>{{1,3,5},{2,6},{4,7}}=>{{1,5},{2,4,6},{3,7}}=>5
[7,1,2,6,4,5,3]=>[3,7,5,6,4,1,2]=>{{1,3,5},{2,7},{4,6}}=>{{1,3},{2,4,6},{5,7}}=>3
[7,1,2,6,5,3,4]=>[3,6,7,5,4,1,2]=>{{1,3,7},{2,6},{4,5}}=>{{1,2,4},{3,7},{5,6}}=>4
[7,1,2,6,5,4,3]=>[3,7,6,5,4,1,2]=>{{1,3,6},{2,7},{4,5}}=>{{1,3},{2,4,7},{5,6}}=>3
[7,1,3,2,4,5,6]=>[4,3,5,6,7,1,2]=>{{1,4,6},{2,3,5,7}}=>{{1,3,4,6},{2,5,7}}=>6
[7,1,3,2,4,6,5]=>[4,3,5,7,6,1,2]=>{{1,4,7},{2,3,5,6}}=>{{1,2,5},{3,4,6,7}}=>5
[7,1,3,2,5,4,6]=>[4,3,6,5,7,1,2]=>{{1,4,5,7},{2,3,6}}=>{{1,2,5,6},{3,4,7}}=>6
[7,1,3,2,5,6,4]=>[4,3,7,5,6,1,2]=>{{1,4,5,6},{2,3,7}}=>{{1,3,4},{2,5,6,7}}=>4
[7,1,3,2,6,4,5]=>[4,3,6,7,5,1,2]=>{{1,4,7},{2,3,6},{5}}=>{{1,2,5},{3,4,7},{6}}=>5
[7,1,3,2,6,5,4]=>[4,3,7,6,5,1,2]=>{{1,4,6},{2,3,7},{5}}=>{{1,3,4},{2,5,7},{6}}=>4
[7,1,3,4,2,5,6]=>[5,3,4,6,7,1,2]=>{{1,5,7},{2,3,4,6}}=>{{1,2,6},{3,4,5,7}}=>6
[7,1,3,4,2,6,5]=>[5,3,4,7,6,1,2]=>{{1,5,6},{2,3,4,7}}=>{{1,3,4,5},{2,6,7}}=>5
[7,1,3,4,5,2,6]=>[6,3,4,5,7,1,2]=>{{1,6},{2,3,4,5,7}}=>{{1,3,4,5,6},{2,7}}=>6
[7,1,3,4,5,6,2]=>[7,3,4,5,6,1,2]=>{{1,7},{2,3,4,5,6}}=>{{1,2},{3,4,5,6,7}}=>2
[7,1,3,4,6,2,5]=>[6,3,4,7,5,1,2]=>{{1,6},{2,3,4,7},{5}}=>{{1,3,4,5},{2,7},{6}}=>5
[7,1,3,4,6,5,2]=>[7,3,4,6,5,1,2]=>{{1,7},{2,3,4,6},{5}}=>{{1,2},{3,4,5,7},{6}}=>2
[7,1,3,5,2,4,6]=>[5,3,6,4,7,1,2]=>{{1,5,7},{2,3,6},{4}}=>{{1,2,6},{3,4,7},{5}}=>6
[7,1,3,5,2,6,4]=>[5,3,7,4,6,1,2]=>{{1,5,6},{2,3,7},{4}}=>{{1,3,4},{2,6,7},{5}}=>4
[7,1,3,5,4,2,6]=>[6,3,5,4,7,1,2]=>{{1,6},{2,3,5,7},{4}}=>{{1,3,4,6},{2,7},{5}}=>6
[7,1,3,5,4,6,2]=>[7,3,5,4,6,1,2]=>{{1,7},{2,3,5,6},{4}}=>{{1,2},{3,4,6,7},{5}}=>2
[7,1,3,5,6,2,4]=>[6,3,7,4,5,1,2]=>{{1,6},{2,3,7},{4},{5}}=>{{1,3,4},{2,7},{5},{6}}=>4
[7,1,3,5,6,4,2]=>[7,3,6,4,5,1,2]=>{{1,7},{2,3,6},{4},{5}}=>{{1,2},{3,4,7},{5},{6}}=>2
[7,1,3,6,2,4,5]=>[5,3,6,7,4,1,2]=>{{1,5},{2,3,6},{4,7}}=>{{1,5},{2,6},{3,4,7}}=>5
[7,1,3,6,2,5,4]=>[5,3,7,6,4,1,2]=>{{1,5},{2,3,7},{4,6}}=>{{1,3,4},{2,6},{5,7}}=>4
[7,1,3,6,4,2,5]=>[6,3,5,7,4,1,2]=>{{1,6},{2,3,5},{4,7}}=>{{1,5},{2,7},{3,4,6}}=>5
[7,1,3,6,4,5,2]=>[7,3,5,6,4,1,2]=>{{1,7},{2,3,5},{4,6}}=>{{1,2},{3,4,6},{5,7}}=>2
[7,1,3,6,5,2,4]=>[6,3,7,5,4,1,2]=>{{1,6},{2,3,7},{4,5}}=>{{1,3,4},{2,7},{5,6}}=>4
[7,1,3,6,5,4,2]=>[7,3,6,5,4,1,2]=>{{1,7},{2,3,6},{4,5}}=>{{1,2},{3,4,7},{5,6}}=>2
[7,1,4,2,3,5,6]=>[4,5,3,6,7,1,2]=>{{1,4,6},{2,5,7},{3}}=>{{1,3,6},{2,5,7},{4}}=>6
[7,1,4,2,3,6,5]=>[4,5,3,7,6,1,2]=>{{1,4,7},{2,5,6},{3}}=>{{1,2,5},{3,6,7},{4}}=>5
[7,1,4,2,5,3,6]=>[4,6,3,5,7,1,2]=>{{1,4,5,7},{2,6},{3}}=>{{1,2,5,6},{3,7},{4}}=>6
[7,1,4,2,5,6,3]=>[4,7,3,5,6,1,2]=>{{1,4,5,6},{2,7},{3}}=>{{1,3},{2,5,6,7},{4}}=>3
[7,1,4,2,6,3,5]=>[4,6,3,7,5,1,2]=>{{1,4,7},{2,6},{3},{5}}=>{{1,2,5},{3,7},{4},{6}}=>5
[7,1,4,2,6,5,3]=>[4,7,3,6,5,1,2]=>{{1,4,6},{2,7},{3},{5}}=>{{1,3},{2,5,7},{4},{6}}=>3
[7,1,4,3,2,5,6]=>[5,4,3,6,7,1,2]=>{{1,5,7},{2,4,6},{3}}=>{{1,2,6},{3,5,7},{4}}=>6
[7,1,4,3,2,6,5]=>[5,4,3,7,6,1,2]=>{{1,5,6},{2,4,7},{3}}=>{{1,3,5},{2,6,7},{4}}=>5
[7,1,4,3,5,2,6]=>[6,4,3,5,7,1,2]=>{{1,6},{2,4,5,7},{3}}=>{{1,3,5,6},{2,7},{4}}=>6
[7,1,4,3,5,6,2]=>[7,4,3,5,6,1,2]=>{{1,7},{2,4,5,6},{3}}=>{{1,2},{3,5,6,7},{4}}=>2
[7,1,4,3,6,2,5]=>[6,4,3,7,5,1,2]=>{{1,6},{2,4,7},{3},{5}}=>{{1,3,5},{2,7},{4},{6}}=>5
[7,1,4,3,6,5,2]=>[7,4,3,6,5,1,2]=>{{1,7},{2,4,6},{3},{5}}=>{{1,2},{3,5,7},{4},{6}}=>2
[7,1,4,5,2,3,6]=>[5,6,3,4,7,1,2]=>{{1,5,7},{2,6},{3},{4}}=>{{1,2,6},{3,7},{4},{5}}=>6
[7,1,4,5,2,6,3]=>[5,7,3,4,6,1,2]=>{{1,5,6},{2,7},{3},{4}}=>{{1,3},{2,6,7},{4},{5}}=>3
[7,1,4,5,3,2,6]=>[6,5,3,4,7,1,2]=>{{1,6},{2,5,7},{3},{4}}=>{{1,3,6},{2,7},{4},{5}}=>6
[7,1,4,5,3,6,2]=>[7,5,3,4,6,1,2]=>{{1,7},{2,5,6},{3},{4}}=>{{1,2},{3,6,7},{4},{5}}=>2
[7,1,4,5,6,2,3]=>[6,7,3,4,5,1,2]=>{{1,6},{2,7},{3},{4},{5}}=>{{1,3},{2,7},{4},{5},{6}}=>3
[7,1,4,5,6,3,2]=>[7,6,3,4,5,1,2]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,2},{3,7},{4},{5},{6}}=>2
[7,1,4,6,2,3,5]=>[5,6,3,7,4,1,2]=>{{1,5},{2,6},{3},{4,7}}=>{{1,5},{2,6},{3,7},{4}}=>5
[7,1,4,6,2,5,3]=>[5,7,3,6,4,1,2]=>{{1,5},{2,7},{3},{4,6}}=>{{1,3},{2,6},{4},{5,7}}=>3
[7,1,4,6,3,2,5]=>[6,5,3,7,4,1,2]=>{{1,6},{2,5},{3},{4,7}}=>{{1,5},{2,7},{3,6},{4}}=>5
[7,1,4,6,3,5,2]=>[7,5,3,6,4,1,2]=>{{1,7},{2,5},{3},{4,6}}=>{{1,2},{3,6},{4},{5,7}}=>2
[7,1,4,6,5,2,3]=>[6,7,3,5,4,1,2]=>{{1,6},{2,7},{3},{4,5}}=>{{1,3},{2,7},{4},{5,6}}=>3
[7,1,4,6,5,3,2]=>[7,6,3,5,4,1,2]=>{{1,7},{2,6},{3},{4,5}}=>{{1,2},{3,7},{4},{5,6}}=>2
[7,1,5,2,3,4,6]=>[4,5,6,3,7,1,2]=>{{1,4},{2,5,7},{3,6}}=>{{1,3,6},{2,5},{4,7}}=>6
[7,1,5,2,3,6,4]=>[4,5,7,3,6,1,2]=>{{1,4},{2,5,6},{3,7}}=>{{1,4},{2,5},{3,6,7}}=>4
[7,1,5,2,4,3,6]=>[4,6,5,3,7,1,2]=>{{1,4},{2,6},{3,5,7}}=>{{1,4,6},{2,5},{3,7}}=>6
[7,1,5,2,4,6,3]=>[4,7,5,3,6,1,2]=>{{1,4},{2,7},{3,5,6}}=>{{1,3},{2,5},{4,6,7}}=>3
[7,1,5,2,6,3,4]=>[4,6,7,3,5,1,2]=>{{1,4},{2,6},{3,7},{5}}=>{{1,4},{2,5},{3,7},{6}}=>4
[7,1,5,2,6,4,3]=>[4,7,6,3,5,1,2]=>{{1,4},{2,7},{3,6},{5}}=>{{1,3},{2,5},{4,7},{6}}=>3
[7,1,5,3,2,4,6]=>[5,4,6,3,7,1,2]=>{{1,5,7},{2,4},{3,6}}=>{{1,2,6},{3,5},{4,7}}=>6
[7,1,5,3,2,6,4]=>[5,4,7,3,6,1,2]=>{{1,5,6},{2,4},{3,7}}=>{{1,4},{2,6,7},{3,5}}=>4
[7,1,5,3,4,2,6]=>[6,4,5,3,7,1,2]=>{{1,6},{2,4},{3,5,7}}=>{{1,4,6},{2,7},{3,5}}=>6
[7,1,5,3,4,6,2]=>[7,4,5,3,6,1,2]=>{{1,7},{2,4},{3,5,6}}=>{{1,2},{3,5},{4,6,7}}=>2
[7,1,5,3,6,2,4]=>[6,4,7,3,5,1,2]=>{{1,6},{2,4},{3,7},{5}}=>{{1,4},{2,7},{3,5},{6}}=>4
[7,1,5,3,6,4,2]=>[7,4,6,3,5,1,2]=>{{1,7},{2,4},{3,6},{5}}=>{{1,2},{3,5},{4,7},{6}}=>2
[7,1,5,4,2,3,6]=>[5,6,4,3,7,1,2]=>{{1,5,7},{2,6},{3,4}}=>{{1,2,6},{3,7},{4,5}}=>6
[7,1,5,4,2,6,3]=>[5,7,4,3,6,1,2]=>{{1,5,6},{2,7},{3,4}}=>{{1,3},{2,6,7},{4,5}}=>3
[7,1,5,4,3,2,6]=>[6,5,4,3,7,1,2]=>{{1,6},{2,5,7},{3,4}}=>{{1,3,6},{2,7},{4,5}}=>6
[7,1,5,4,3,6,2]=>[7,5,4,3,6,1,2]=>{{1,7},{2,5,6},{3,4}}=>{{1,2},{3,6,7},{4,5}}=>2
[7,1,5,4,6,2,3]=>[6,7,4,3,5,1,2]=>{{1,6},{2,7},{3,4},{5}}=>{{1,3},{2,7},{4,5},{6}}=>3
[7,1,5,4,6,3,2]=>[7,6,4,3,5,1,2]=>{{1,7},{2,6},{3,4},{5}}=>{{1,2},{3,7},{4,5},{6}}=>2
[7,1,5,6,2,3,4]=>[5,6,7,3,4,1,2]=>{{1,5},{2,6},{3,7},{4}}=>{{1,4},{2,6},{3,7},{5}}=>4
[7,1,5,6,2,4,3]=>[5,7,6,3,4,1,2]=>{{1,5},{2,7},{3,6},{4}}=>{{1,3},{2,6},{4,7},{5}}=>3
[7,1,5,6,3,2,4]=>[6,5,7,3,4,1,2]=>{{1,6},{2,5},{3,7},{4}}=>{{1,4},{2,7},{3,6},{5}}=>4
[7,1,5,6,3,4,2]=>[7,5,6,3,4,1,2]=>{{1,7},{2,5},{3,6},{4}}=>{{1,2},{3,6},{4,7},{5}}=>2
[7,1,5,6,4,2,3]=>[6,7,5,3,4,1,2]=>{{1,6},{2,7},{3,5},{4}}=>{{1,3},{2,7},{4,6},{5}}=>3
[7,1,5,6,4,3,2]=>[7,6,5,3,4,1,2]=>{{1,7},{2,6},{3,5},{4}}=>{{1,2},{3,7},{4,6},{5}}=>2
[7,1,6,2,3,4,5]=>[4,5,6,7,3,1,2]=>{{1,4,7},{2,5},{3,6}}=>{{1,2,5},{3,6},{4,7}}=>5
[7,1,6,2,3,5,4]=>[4,5,7,6,3,1,2]=>{{1,4,6},{2,5},{3,7}}=>{{1,4},{2,5,7},{3,6}}=>4
[7,1,6,2,4,3,5]=>[4,6,5,7,3,1,2]=>{{1,4,7},{2,6},{3,5}}=>{{1,2,5},{3,7},{4,6}}=>5
[7,1,6,2,4,5,3]=>[4,7,5,6,3,1,2]=>{{1,4,6},{2,7},{3,5}}=>{{1,3},{2,5,7},{4,6}}=>3
[7,1,6,2,5,3,4]=>[4,6,7,5,3,1,2]=>{{1,4,5},{2,6},{3,7}}=>{{1,4},{2,5,6},{3,7}}=>4
[7,1,6,2,5,4,3]=>[4,7,6,5,3,1,2]=>{{1,4,5},{2,7},{3,6}}=>{{1,3},{2,5,6},{4,7}}=>3
[7,1,6,3,2,4,5]=>[5,4,6,7,3,1,2]=>{{1,5},{2,4,7},{3,6}}=>{{1,3,5},{2,6},{4,7}}=>5
[7,1,6,3,2,5,4]=>[5,4,7,6,3,1,2]=>{{1,5},{2,4,6},{3,7}}=>{{1,4},{2,6},{3,5,7}}=>4
[7,1,6,3,4,2,5]=>[6,4,5,7,3,1,2]=>{{1,6},{2,4,7},{3,5}}=>{{1,3,5},{2,7},{4,6}}=>5
[7,1,6,3,4,5,2]=>[7,4,5,6,3,1,2]=>{{1,7},{2,4,6},{3,5}}=>{{1,2},{3,5,7},{4,6}}=>2
[7,1,6,3,5,2,4]=>[6,4,7,5,3,1,2]=>{{1,6},{2,4,5},{3,7}}=>{{1,4},{2,7},{3,5,6}}=>4
[7,1,6,3,5,4,2]=>[7,4,6,5,3,1,2]=>{{1,7},{2,4,5},{3,6}}=>{{1,2},{3,5,6},{4,7}}=>2
[7,1,6,4,2,3,5]=>[5,6,4,7,3,1,2]=>{{1,5},{2,6},{3,4,7}}=>{{1,4,5},{2,6},{3,7}}=>5
[7,1,6,4,2,5,3]=>[5,7,4,6,3,1,2]=>{{1,5},{2,7},{3,4,6}}=>{{1,3},{2,6},{4,5,7}}=>3
[7,1,6,4,3,2,5]=>[6,5,4,7,3,1,2]=>{{1,6},{2,5},{3,4,7}}=>{{1,4,5},{2,7},{3,6}}=>5
[7,1,6,4,3,5,2]=>[7,5,4,6,3,1,2]=>{{1,7},{2,5},{3,4,6}}=>{{1,2},{3,6},{4,5,7}}=>2
[7,1,6,4,5,2,3]=>[6,7,4,5,3,1,2]=>{{1,6},{2,7},{3,4,5}}=>{{1,3},{2,7},{4,5,6}}=>3
[7,1,6,4,5,3,2]=>[7,6,4,5,3,1,2]=>{{1,7},{2,6},{3,4,5}}=>{{1,2},{3,7},{4,5,6}}=>2
[7,1,6,5,2,3,4]=>[5,6,7,4,3,1,2]=>{{1,5},{2,6},{3,7},{4}}=>{{1,4},{2,6},{3,7},{5}}=>4
[7,1,6,5,2,4,3]=>[5,7,6,4,3,1,2]=>{{1,5},{2,7},{3,6},{4}}=>{{1,3},{2,6},{4,7},{5}}=>3
[7,1,6,5,3,2,4]=>[6,5,7,4,3,1,2]=>{{1,6},{2,5},{3,7},{4}}=>{{1,4},{2,7},{3,6},{5}}=>4
[7,1,6,5,3,4,2]=>[7,5,6,4,3,1,2]=>{{1,7},{2,5},{3,6},{4}}=>{{1,2},{3,6},{4,7},{5}}=>2
[7,1,6,5,4,2,3]=>[6,7,5,4,3,1,2]=>{{1,6},{2,7},{3,5},{4}}=>{{1,3},{2,7},{4,6},{5}}=>3
[7,1,6,5,4,3,2]=>[7,6,5,4,3,1,2]=>{{1,7},{2,6},{3,5},{4}}=>{{1,2},{3,7},{4,6},{5}}=>2
[7,2,1,3,4,5,6]=>[2,4,5,6,7,1,3]=>{{1,2,4,6},{3,5,7}}=>{{1,4,6},{2,3,5,7}}=>6
[7,2,1,3,4,6,5]=>[2,4,5,7,6,1,3]=>{{1,2,4,7},{3,5,6}}=>{{1,2,3,5},{4,6,7}}=>5
[7,2,1,3,5,4,6]=>[2,4,6,5,7,1,3]=>{{1,2,4,5,7},{3,6}}=>{{1,2,3,5,6},{4,7}}=>6
[7,2,1,3,5,6,4]=>[2,4,7,5,6,1,3]=>{{1,2,4,5,6},{3,7}}=>{{1,4},{2,3,5,6,7}}=>4
[7,2,1,3,6,4,5]=>[2,4,6,7,5,1,3]=>{{1,2,4,7},{3,6},{5}}=>{{1,2,3,5},{4,7},{6}}=>5
[7,2,1,3,6,5,4]=>[2,4,7,6,5,1,3]=>{{1,2,4,6},{3,7},{5}}=>{{1,4},{2,3,5,7},{6}}=>4
[7,2,1,4,3,5,6]=>[2,5,4,6,7,1,3]=>{{1,2,5,7},{3,4,6}}=>{{1,2,3,6},{4,5,7}}=>6
[7,2,1,4,3,6,5]=>[2,5,4,7,6,1,3]=>{{1,2,5,6},{3,4,7}}=>{{1,4,5},{2,3,6,7}}=>5
[7,2,1,4,5,3,6]=>[2,6,4,5,7,1,3]=>{{1,2,6},{3,4,5,7}}=>{{1,4,5,6},{2,3,7}}=>6
[7,2,1,4,5,6,3]=>[2,7,4,5,6,1,3]=>{{1,2,7},{3,4,5,6}}=>{{1,2,3},{4,5,6,7}}=>3
[7,2,1,4,6,3,5]=>[2,6,4,7,5,1,3]=>{{1,2,6},{3,4,7},{5}}=>{{1,4,5},{2,3,7},{6}}=>5
[7,2,1,4,6,5,3]=>[2,7,4,6,5,1,3]=>{{1,2,7},{3,4,6},{5}}=>{{1,2,3},{4,5,7},{6}}=>3
[7,2,1,5,3,4,6]=>[2,5,6,4,7,1,3]=>{{1,2,5,7},{3,6},{4}}=>{{1,2,3,6},{4,7},{5}}=>6
[7,2,1,5,3,6,4]=>[2,5,7,4,6,1,3]=>{{1,2,5,6},{3,7},{4}}=>{{1,4},{2,3,6,7},{5}}=>4
[7,2,1,5,4,3,6]=>[2,6,5,4,7,1,3]=>{{1,2,6},{3,5,7},{4}}=>{{1,4,6},{2,3,7},{5}}=>6
[7,2,1,5,4,6,3]=>[2,7,5,4,6,1,3]=>{{1,2,7},{3,5,6},{4}}=>{{1,2,3},{4,6,7},{5}}=>3
[7,2,1,5,6,3,4]=>[2,6,7,4,5,1,3]=>{{1,2,6},{3,7},{4},{5}}=>{{1,4},{2,3,7},{5},{6}}=>4
[7,2,1,5,6,4,3]=>[2,7,6,4,5,1,3]=>{{1,2,7},{3,6},{4},{5}}=>{{1,2,3},{4,7},{5},{6}}=>3
[7,2,1,6,3,4,5]=>[2,5,6,7,4,1,3]=>{{1,2,5},{3,6},{4,7}}=>{{1,5},{2,3,6},{4,7}}=>5
[7,2,1,6,3,5,4]=>[2,5,7,6,4,1,3]=>{{1,2,5},{3,7},{4,6}}=>{{1,4},{2,3,6},{5,7}}=>4
[7,2,1,6,4,3,5]=>[2,6,5,7,4,1,3]=>{{1,2,6},{3,5},{4,7}}=>{{1,5},{2,3,7},{4,6}}=>5
[7,2,1,6,4,5,3]=>[2,7,5,6,4,1,3]=>{{1,2,7},{3,5},{4,6}}=>{{1,2,3},{4,6},{5,7}}=>3
[7,2,1,6,5,3,4]=>[2,6,7,5,4,1,3]=>{{1,2,6},{3,7},{4,5}}=>{{1,4},{2,3,7},{5,6}}=>4
[7,2,1,6,5,4,3]=>[2,7,6,5,4,1,3]=>{{1,2,7},{3,6},{4,5}}=>{{1,2,3},{4,7},{5,6}}=>3
[7,2,3,1,4,5,6]=>[2,3,5,6,7,1,4]=>{{1,2,3,5,7},{4,6}}=>{{1,2,3,4,6},{5,7}}=>6
[7,2,3,1,4,6,5]=>[2,3,5,7,6,1,4]=>{{1,2,3,5,6},{4,7}}=>{{1,5},{2,3,4,6,7}}=>5
[7,2,3,1,5,4,6]=>[2,3,6,5,7,1,4]=>{{1,2,3,6},{4,5,7}}=>{{1,5,6},{2,3,4,7}}=>6
[7,2,3,1,5,6,4]=>[2,3,7,5,6,1,4]=>{{1,2,3,7},{4,5,6}}=>{{1,2,3,4},{5,6,7}}=>4
[7,2,3,1,6,4,5]=>[2,3,6,7,5,1,4]=>{{1,2,3,6},{4,7},{5}}=>{{1,5},{2,3,4,7},{6}}=>5
[7,2,3,1,6,5,4]=>[2,3,7,6,5,1,4]=>{{1,2,3,7},{4,6},{5}}=>{{1,2,3,4},{5,7},{6}}=>4
[7,2,3,4,1,5,6]=>[2,3,4,6,7,1,5]=>{{1,2,3,4,6},{5,7}}=>{{1,6},{2,3,4,5,7}}=>6
[7,2,3,4,1,6,5]=>[2,3,4,7,6,1,5]=>{{1,2,3,4,7},{5,6}}=>{{1,2,3,4,5},{6,7}}=>5
[7,2,3,4,5,1,6]=>[2,3,4,5,7,1,6]=>{{1,2,3,4,5,7},{6}}=>{{1,2,3,4,5,6},{7}}=>6
[7,2,3,4,5,6,1]=>[2,3,4,5,6,1,7]=>{{1,2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6,7}}=>1
[7,2,3,4,6,1,5]=>[2,3,4,7,5,1,6]=>{{1,2,3,4,7},{5},{6}}=>{{1,2,3,4,5},{6},{7}}=>5
[7,2,3,4,6,5,1]=>[2,3,4,6,5,1,7]=>{{1,2,3,4,6},{5},{7}}=>{{1},{2,3,4,5,7},{6}}=>1
[7,2,3,5,1,4,6]=>[2,3,6,4,7,1,5]=>{{1,2,3,6},{4},{5,7}}=>{{1,6},{2,3,4,7},{5}}=>6
[7,2,3,5,1,6,4]=>[2,3,7,4,6,1,5]=>{{1,2,3,7},{4},{5,6}}=>{{1,2,3,4},{5},{6,7}}=>4
[7,2,3,5,4,1,6]=>[2,3,5,4,7,1,6]=>{{1,2,3,5,7},{4},{6}}=>{{1,2,3,4,6},{5},{7}}=>6
[7,2,3,5,4,6,1]=>[2,3,5,4,6,1,7]=>{{1,2,3,5,6},{4},{7}}=>{{1},{2,3,4,6,7},{5}}=>1
[7,2,3,5,6,1,4]=>[2,3,7,4,5,1,6]=>{{1,2,3,7},{4},{5},{6}}=>{{1,2,3,4},{5},{6},{7}}=>4
[7,2,3,5,6,4,1]=>[2,3,6,4,5,1,7]=>{{1,2,3,6},{4},{5},{7}}=>{{1},{2,3,4,7},{5},{6}}=>1
[7,2,3,6,1,4,5]=>[2,3,6,7,4,1,5]=>{{1,2,3,6},{4,7},{5}}=>{{1,5},{2,3,4,7},{6}}=>5
[7,2,3,6,1,5,4]=>[2,3,7,6,4,1,5]=>{{1,2,3,7},{4,6},{5}}=>{{1,2,3,4},{5,7},{6}}=>4
[7,2,3,6,4,1,5]=>[2,3,5,7,4,1,6]=>{{1,2,3,5},{4,7},{6}}=>{{1,5},{2,3,4,6},{7}}=>5
[7,2,3,6,4,5,1]=>[2,3,5,6,4,1,7]=>{{1,2,3,5},{4,6},{7}}=>{{1},{2,3,4,6},{5,7}}=>1
[7,2,3,6,5,1,4]=>[2,3,7,5,4,1,6]=>{{1,2,3,7},{4,5},{6}}=>{{1,2,3,4},{5,6},{7}}=>4
[7,2,3,6,5,4,1]=>[2,3,6,5,4,1,7]=>{{1,2,3,6},{4,5},{7}}=>{{1},{2,3,4,7},{5,6}}=>1
[7,2,4,1,3,5,6]=>[2,5,3,6,7,1,4]=>{{1,2,5,7},{3},{4,6}}=>{{1,2,3,6},{4},{5,7}}=>6
[7,2,4,1,3,6,5]=>[2,5,3,7,6,1,4]=>{{1,2,5,6},{3},{4,7}}=>{{1,5},{2,3,6,7},{4}}=>5
[7,2,4,1,5,3,6]=>[2,6,3,5,7,1,4]=>{{1,2,6},{3},{4,5,7}}=>{{1,5,6},{2,3,7},{4}}=>6
[7,2,4,1,5,6,3]=>[2,7,3,5,6,1,4]=>{{1,2,7},{3},{4,5,6}}=>{{1,2,3},{4},{5,6,7}}=>3
[7,2,4,1,6,3,5]=>[2,6,3,7,5,1,4]=>{{1,2,6},{3},{4,7},{5}}=>{{1,5},{2,3,7},{4},{6}}=>5
[7,2,4,1,6,5,3]=>[2,7,3,6,5,1,4]=>{{1,2,7},{3},{4,6},{5}}=>{{1,2,3},{4},{5,7},{6}}=>3
[7,2,4,3,1,5,6]=>[2,4,3,6,7,1,5]=>{{1,2,4,6},{3},{5,7}}=>{{1,6},{2,3,5,7},{4}}=>6
[7,2,4,3,1,6,5]=>[2,4,3,7,6,1,5]=>{{1,2,4,7},{3},{5,6}}=>{{1,2,3,5},{4},{6,7}}=>5
[7,2,4,3,5,1,6]=>[2,4,3,5,7,1,6]=>{{1,2,4,5,7},{3},{6}}=>{{1,2,3,5,6},{4},{7}}=>6
[7,2,4,3,5,6,1]=>[2,4,3,5,6,1,7]=>{{1,2,4,5,6},{3},{7}}=>{{1},{2,3,5,6,7},{4}}=>1
[7,2,4,3,6,1,5]=>[2,4,3,7,5,1,6]=>{{1,2,4,7},{3},{5},{6}}=>{{1,2,3,5},{4},{6},{7}}=>5
[7,2,4,3,6,5,1]=>[2,4,3,6,5,1,7]=>{{1,2,4,6},{3},{5},{7}}=>{{1},{2,3,5,7},{4},{6}}=>1
[7,2,4,5,1,3,6]=>[2,6,3,4,7,1,5]=>{{1,2,6},{3},{4},{5,7}}=>{{1,6},{2,3,7},{4},{5}}=>6
[7,2,4,5,1,6,3]=>[2,7,3,4,6,1,5]=>{{1,2,7},{3},{4},{5,6}}=>{{1,2,3},{4},{5},{6,7}}=>3
[7,2,4,5,3,1,6]=>[2,5,3,4,7,1,6]=>{{1,2,5,7},{3},{4},{6}}=>{{1,2,3,6},{4},{5},{7}}=>6
[7,2,4,5,3,6,1]=>[2,5,3,4,6,1,7]=>{{1,2,5,6},{3},{4},{7}}=>{{1},{2,3,6,7},{4},{5}}=>1
[7,2,4,5,6,1,3]=>[2,7,3,4,5,1,6]=>{{1,2,7},{3},{4},{5},{6}}=>{{1,2,3},{4},{5},{6},{7}}=>3
[7,2,4,5,6,3,1]=>[2,6,3,4,5,1,7]=>{{1,2,6},{3},{4},{5},{7}}=>{{1},{2,3,7},{4},{5},{6}}=>1
[7,2,4,6,1,3,5]=>[2,6,3,7,4,1,5]=>{{1,2,6},{3},{4,7},{5}}=>{{1,5},{2,3,7},{4},{6}}=>5
[7,2,4,6,1,5,3]=>[2,7,3,6,4,1,5]=>{{1,2,7},{3},{4,6},{5}}=>{{1,2,3},{4},{5,7},{6}}=>3
[7,2,4,6,3,1,5]=>[2,5,3,7,4,1,6]=>{{1,2,5},{3},{4,7},{6}}=>{{1,5},{2,3,6},{4},{7}}=>5
[7,2,4,6,3,5,1]=>[2,5,3,6,4,1,7]=>{{1,2,5},{3},{4,6},{7}}=>{{1},{2,3,6},{4},{5,7}}=>1
[7,2,4,6,5,1,3]=>[2,7,3,5,4,1,6]=>{{1,2,7},{3},{4,5},{6}}=>{{1,2,3},{4},{5,6},{7}}=>3
[7,2,4,6,5,3,1]=>[2,6,3,5,4,1,7]=>{{1,2,6},{3},{4,5},{7}}=>{{1},{2,3,7},{4},{5,6}}=>1
[7,2,5,1,3,4,6]=>[2,5,6,3,7,1,4]=>{{1,2,5,7},{3,6},{4}}=>{{1,2,3,6},{4,7},{5}}=>6
[7,2,5,1,3,6,4]=>[2,5,7,3,6,1,4]=>{{1,2,5,6},{3,7},{4}}=>{{1,4},{2,3,6,7},{5}}=>4
[7,2,5,1,4,3,6]=>[2,6,5,3,7,1,4]=>{{1,2,6},{3,5,7},{4}}=>{{1,4,6},{2,3,7},{5}}=>6
[7,2,5,1,4,6,3]=>[2,7,5,3,6,1,4]=>{{1,2,7},{3,5,6},{4}}=>{{1,2,3},{4,6,7},{5}}=>3
[7,2,5,1,6,3,4]=>[2,6,7,3,5,1,4]=>{{1,2,6},{3,7},{4},{5}}=>{{1,4},{2,3,7},{5},{6}}=>4
[7,2,5,1,6,4,3]=>[2,7,6,3,5,1,4]=>{{1,2,7},{3,6},{4},{5}}=>{{1,2,3},{4,7},{5},{6}}=>3
[7,2,5,3,1,4,6]=>[2,4,6,3,7,1,5]=>{{1,2,4},{3,6},{5,7}}=>{{1,6},{2,3,5},{4,7}}=>6
[7,2,5,3,1,6,4]=>[2,4,7,3,6,1,5]=>{{1,2,4},{3,7},{5,6}}=>{{1,4},{2,3,5},{6,7}}=>4
[7,2,5,3,4,1,6]=>[2,4,5,3,7,1,6]=>{{1,2,4},{3,5,7},{6}}=>{{1,4,6},{2,3,5},{7}}=>6
[7,2,5,3,4,6,1]=>[2,4,5,3,6,1,7]=>{{1,2,4},{3,5,6},{7}}=>{{1},{2,3,5},{4,6,7}}=>1
[7,2,5,3,6,1,4]=>[2,4,7,3,5,1,6]=>{{1,2,4},{3,7},{5},{6}}=>{{1,4},{2,3,5},{6},{7}}=>4
[7,2,5,3,6,4,1]=>[2,4,6,3,5,1,7]=>{{1,2,4},{3,6},{5},{7}}=>{{1},{2,3,5},{4,7},{6}}=>1
[7,2,5,4,1,3,6]=>[2,6,4,3,7,1,5]=>{{1,2,6},{3,4},{5,7}}=>{{1,6},{2,3,7},{4,5}}=>6
[7,2,5,4,1,6,3]=>[2,7,4,3,6,1,5]=>{{1,2,7},{3,4},{5,6}}=>{{1,2,3},{4,5},{6,7}}=>3
[7,2,5,4,3,1,6]=>[2,5,4,3,7,1,6]=>{{1,2,5,7},{3,4},{6}}=>{{1,2,3,6},{4,5},{7}}=>6
[7,2,5,4,3,6,1]=>[2,5,4,3,6,1,7]=>{{1,2,5,6},{3,4},{7}}=>{{1},{2,3,6,7},{4,5}}=>1
[7,2,5,4,6,1,3]=>[2,7,4,3,5,1,6]=>{{1,2,7},{3,4},{5},{6}}=>{{1,2,3},{4,5},{6},{7}}=>3
[7,2,5,4,6,3,1]=>[2,6,4,3,5,1,7]=>{{1,2,6},{3,4},{5},{7}}=>{{1},{2,3,7},{4,5},{6}}=>1
[7,2,5,6,1,3,4]=>[2,6,7,3,4,1,5]=>{{1,2,6},{3,7},{4},{5}}=>{{1,4},{2,3,7},{5},{6}}=>4
[7,2,5,6,1,4,3]=>[2,7,6,3,4,1,5]=>{{1,2,7},{3,6},{4},{5}}=>{{1,2,3},{4,7},{5},{6}}=>3
[7,2,5,6,3,1,4]=>[2,5,7,3,4,1,6]=>{{1,2,5},{3,7},{4},{6}}=>{{1,4},{2,3,6},{5},{7}}=>4
[7,2,5,6,3,4,1]=>[2,5,6,3,4,1,7]=>{{1,2,5},{3,6},{4},{7}}=>{{1},{2,3,6},{4,7},{5}}=>1
[7,2,5,6,4,1,3]=>[2,7,5,3,4,1,6]=>{{1,2,7},{3,5},{4},{6}}=>{{1,2,3},{4,6},{5},{7}}=>3
[7,2,5,6,4,3,1]=>[2,6,5,3,4,1,7]=>{{1,2,6},{3,5},{4},{7}}=>{{1},{2,3,7},{4,6},{5}}=>1
[7,2,6,1,3,4,5]=>[2,5,6,7,3,1,4]=>{{1,2,5},{3,6},{4,7}}=>{{1,5},{2,3,6},{4,7}}=>5
[7,2,6,1,3,5,4]=>[2,5,7,6,3,1,4]=>{{1,2,5},{3,7},{4,6}}=>{{1,4},{2,3,6},{5,7}}=>4
[7,2,6,1,4,3,5]=>[2,6,5,7,3,1,4]=>{{1,2,6},{3,5},{4,7}}=>{{1,5},{2,3,7},{4,6}}=>5
[7,2,6,1,4,5,3]=>[2,7,5,6,3,1,4]=>{{1,2,7},{3,5},{4,6}}=>{{1,2,3},{4,6},{5,7}}=>3
[7,2,6,1,5,3,4]=>[2,6,7,5,3,1,4]=>{{1,2,6},{3,7},{4,5}}=>{{1,4},{2,3,7},{5,6}}=>4
[7,2,6,1,5,4,3]=>[2,7,6,5,3,1,4]=>{{1,2,7},{3,6},{4,5}}=>{{1,2,3},{4,7},{5,6}}=>3
[7,2,6,3,1,4,5]=>[2,4,6,7,3,1,5]=>{{1,2,4,7},{3,6},{5}}=>{{1,2,3,5},{4,7},{6}}=>5
[7,2,6,3,1,5,4]=>[2,4,7,6,3,1,5]=>{{1,2,4,6},{3,7},{5}}=>{{1,4},{2,3,5,7},{6}}=>4
[7,2,6,3,4,1,5]=>[2,4,5,7,3,1,6]=>{{1,2,4,7},{3,5},{6}}=>{{1,2,3,5},{4,6},{7}}=>5
[7,2,6,3,4,5,1]=>[2,4,5,6,3,1,7]=>{{1,2,4,6},{3,5},{7}}=>{{1},{2,3,5,7},{4,6}}=>1
[7,2,6,3,5,1,4]=>[2,4,7,5,3,1,6]=>{{1,2,4,5},{3,7},{6}}=>{{1,4},{2,3,5,6},{7}}=>4
[7,2,6,3,5,4,1]=>[2,4,6,5,3,1,7]=>{{1,2,4,5},{3,6},{7}}=>{{1},{2,3,5,6},{4,7}}=>1
[7,2,6,4,1,3,5]=>[2,6,4,7,3,1,5]=>{{1,2,6},{3,4,7},{5}}=>{{1,4,5},{2,3,7},{6}}=>5
[7,2,6,4,1,5,3]=>[2,7,4,6,3,1,5]=>{{1,2,7},{3,4,6},{5}}=>{{1,2,3},{4,5,7},{6}}=>3
[7,2,6,4,3,1,5]=>[2,5,4,7,3,1,6]=>{{1,2,5},{3,4,7},{6}}=>{{1,4,5},{2,3,6},{7}}=>5
[7,2,6,4,3,5,1]=>[2,5,4,6,3,1,7]=>{{1,2,5},{3,4,6},{7}}=>{{1},{2,3,6},{4,5,7}}=>1
[7,2,6,4,5,1,3]=>[2,7,4,5,3,1,6]=>{{1,2,7},{3,4,5},{6}}=>{{1,2,3},{4,5,6},{7}}=>3
[7,2,6,4,5,3,1]=>[2,6,4,5,3,1,7]=>{{1,2,6},{3,4,5},{7}}=>{{1},{2,3,7},{4,5,6}}=>1
[7,2,6,5,1,3,4]=>[2,6,7,4,3,1,5]=>{{1,2,6},{3,7},{4},{5}}=>{{1,4},{2,3,7},{5},{6}}=>4
[7,2,6,5,1,4,3]=>[2,7,6,4,3,1,5]=>{{1,2,7},{3,6},{4},{5}}=>{{1,2,3},{4,7},{5},{6}}=>3
[7,2,6,5,3,1,4]=>[2,5,7,4,3,1,6]=>{{1,2,5},{3,7},{4},{6}}=>{{1,4},{2,3,6},{5},{7}}=>4
[7,2,6,5,3,4,1]=>[2,5,6,4,3,1,7]=>{{1,2,5},{3,6},{4},{7}}=>{{1},{2,3,6},{4,7},{5}}=>1
[7,2,6,5,4,1,3]=>[2,7,5,4,3,1,6]=>{{1,2,7},{3,5},{4},{6}}=>{{1,2,3},{4,6},{5},{7}}=>3
[7,2,6,5,4,3,1]=>[2,6,5,4,3,1,7]=>{{1,2,6},{3,5},{4},{7}}=>{{1},{2,3,7},{4,6},{5}}=>1
[7,3,1,2,4,5,6]=>[4,2,5,6,7,1,3]=>{{1,4,6},{2},{3,5,7}}=>{{1,4,6},{2,5,7},{3}}=>6
[7,3,1,2,4,6,5]=>[4,2,5,7,6,1,3]=>{{1,4,7},{2},{3,5,6}}=>{{1,2,5},{3},{4,6,7}}=>5
[7,3,1,2,5,4,6]=>[4,2,6,5,7,1,3]=>{{1,4,5,7},{2},{3,6}}=>{{1,2,5,6},{3},{4,7}}=>6
[7,3,1,2,5,6,4]=>[4,2,7,5,6,1,3]=>{{1,4,5,6},{2},{3,7}}=>{{1,4},{2,5,6,7},{3}}=>4
[7,3,1,2,6,4,5]=>[4,2,6,7,5,1,3]=>{{1,4,7},{2},{3,6},{5}}=>{{1,2,5},{3},{4,7},{6}}=>5
[7,3,1,2,6,5,4]=>[4,2,7,6,5,1,3]=>{{1,4,6},{2},{3,7},{5}}=>{{1,4},{2,5,7},{3},{6}}=>4
[7,3,1,4,2,5,6]=>[5,2,4,6,7,1,3]=>{{1,5,7},{2},{3,4,6}}=>{{1,2,6},{3},{4,5,7}}=>6
[7,3,1,4,2,6,5]=>[5,2,4,7,6,1,3]=>{{1,5,6},{2},{3,4,7}}=>{{1,4,5},{2,6,7},{3}}=>5
[7,3,1,4,5,2,6]=>[6,2,4,5,7,1,3]=>{{1,6},{2},{3,4,5,7}}=>{{1,4,5,6},{2,7},{3}}=>6
[7,3,1,4,5,6,2]=>[7,2,4,5,6,1,3]=>{{1,7},{2},{3,4,5,6}}=>{{1,2},{3},{4,5,6,7}}=>2
[7,3,1,4,6,2,5]=>[6,2,4,7,5,1,3]=>{{1,6},{2},{3,4,7},{5}}=>{{1,4,5},{2,7},{3},{6}}=>5
[7,3,1,4,6,5,2]=>[7,2,4,6,5,1,3]=>{{1,7},{2},{3,4,6},{5}}=>{{1,2},{3},{4,5,7},{6}}=>2
[7,3,1,5,2,4,6]=>[5,2,6,4,7,1,3]=>{{1,5,7},{2},{3,6},{4}}=>{{1,2,6},{3},{4,7},{5}}=>6
[7,3,1,5,2,6,4]=>[5,2,7,4,6,1,3]=>{{1,5,6},{2},{3,7},{4}}=>{{1,4},{2,6,7},{3},{5}}=>4
[7,3,1,5,4,2,6]=>[6,2,5,4,7,1,3]=>{{1,6},{2},{3,5,7},{4}}=>{{1,4,6},{2,7},{3},{5}}=>6
[7,3,1,5,4,6,2]=>[7,2,5,4,6,1,3]=>{{1,7},{2},{3,5,6},{4}}=>{{1,2},{3},{4,6,7},{5}}=>2
[7,3,1,5,6,2,4]=>[6,2,7,4,5,1,3]=>{{1,6},{2},{3,7},{4},{5}}=>{{1,4},{2,7},{3},{5},{6}}=>4
[7,3,1,5,6,4,2]=>[7,2,6,4,5,1,3]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,2},{3},{4,7},{5},{6}}=>2
[7,3,1,6,2,4,5]=>[5,2,6,7,4,1,3]=>{{1,5},{2},{3,6},{4,7}}=>{{1,5},{2,6},{3},{4,7}}=>5
[7,3,1,6,2,5,4]=>[5,2,7,6,4,1,3]=>{{1,5},{2},{3,7},{4,6}}=>{{1,4},{2,6},{3},{5,7}}=>4
[7,3,1,6,4,2,5]=>[6,2,5,7,4,1,3]=>{{1,6},{2},{3,5},{4,7}}=>{{1,5},{2,7},{3},{4,6}}=>5
[7,3,1,6,4,5,2]=>[7,2,5,6,4,1,3]=>{{1,7},{2},{3,5},{4,6}}=>{{1,2},{3},{4,6},{5,7}}=>2
[7,3,1,6,5,2,4]=>[6,2,7,5,4,1,3]=>{{1,6},{2},{3,7},{4,5}}=>{{1,4},{2,7},{3},{5,6}}=>4
[7,3,1,6,5,4,2]=>[7,2,6,5,4,1,3]=>{{1,7},{2},{3,6},{4,5}}=>{{1,2},{3},{4,7},{5,6}}=>2
[7,3,2,1,4,5,6]=>[3,2,5,6,7,1,4]=>{{1,3,5,7},{2},{4,6}}=>{{1,2,4,6},{3},{5,7}}=>6
[7,3,2,1,4,6,5]=>[3,2,5,7,6,1,4]=>{{1,3,5,6},{2},{4,7}}=>{{1,5},{2,4,6,7},{3}}=>5
[7,3,2,1,5,4,6]=>[3,2,6,5,7,1,4]=>{{1,3,6},{2},{4,5,7}}=>{{1,5,6},{2,4,7},{3}}=>6
[7,3,2,1,5,6,4]=>[3,2,7,5,6,1,4]=>{{1,3,7},{2},{4,5,6}}=>{{1,2,4},{3},{5,6,7}}=>4
[7,3,2,1,6,4,5]=>[3,2,6,7,5,1,4]=>{{1,3,6},{2},{4,7},{5}}=>{{1,5},{2,4,7},{3},{6}}=>5
[7,3,2,1,6,5,4]=>[3,2,7,6,5,1,4]=>{{1,3,7},{2},{4,6},{5}}=>{{1,2,4},{3},{5,7},{6}}=>4
[7,3,2,4,1,5,6]=>[3,2,4,6,7,1,5]=>{{1,3,4,6},{2},{5,7}}=>{{1,6},{2,4,5,7},{3}}=>6
[7,3,2,4,1,6,5]=>[3,2,4,7,6,1,5]=>{{1,3,4,7},{2},{5,6}}=>{{1,2,4,5},{3},{6,7}}=>5
[7,3,2,4,5,1,6]=>[3,2,4,5,7,1,6]=>{{1,3,4,5,7},{2},{6}}=>{{1,2,4,5,6},{3},{7}}=>6
[7,3,2,4,5,6,1]=>[3,2,4,5,6,1,7]=>{{1,3,4,5,6},{2},{7}}=>{{1},{2,4,5,6,7},{3}}=>1
[7,3,2,4,6,1,5]=>[3,2,4,7,5,1,6]=>{{1,3,4,7},{2},{5},{6}}=>{{1,2,4,5},{3},{6},{7}}=>5
[7,3,2,4,6,5,1]=>[3,2,4,6,5,1,7]=>{{1,3,4,6},{2},{5},{7}}=>{{1},{2,4,5,7},{3},{6}}=>1
[7,3,2,5,1,4,6]=>[3,2,6,4,7,1,5]=>{{1,3,6},{2},{4},{5,7}}=>{{1,6},{2,4,7},{3},{5}}=>6
[7,3,2,5,1,6,4]=>[3,2,7,4,6,1,5]=>{{1,3,7},{2},{4},{5,6}}=>{{1,2,4},{3},{5},{6,7}}=>4
[7,3,2,5,4,1,6]=>[3,2,5,4,7,1,6]=>{{1,3,5,7},{2},{4},{6}}=>{{1,2,4,6},{3},{5},{7}}=>6
[7,3,2,5,4,6,1]=>[3,2,5,4,6,1,7]=>{{1,3,5,6},{2},{4},{7}}=>{{1},{2,4,6,7},{3},{5}}=>1
[7,3,2,5,6,1,4]=>[3,2,7,4,5,1,6]=>{{1,3,7},{2},{4},{5},{6}}=>{{1,2,4},{3},{5},{6},{7}}=>4
[7,3,2,5,6,4,1]=>[3,2,6,4,5,1,7]=>{{1,3,6},{2},{4},{5},{7}}=>{{1},{2,4,7},{3},{5},{6}}=>1
[7,3,2,6,1,4,5]=>[3,2,6,7,4,1,5]=>{{1,3,6},{2},{4,7},{5}}=>{{1,5},{2,4,7},{3},{6}}=>5
[7,3,2,6,1,5,4]=>[3,2,7,6,4,1,5]=>{{1,3,7},{2},{4,6},{5}}=>{{1,2,4},{3},{5,7},{6}}=>4
[7,3,2,6,4,1,5]=>[3,2,5,7,4,1,6]=>{{1,3,5},{2},{4,7},{6}}=>{{1,5},{2,4,6},{3},{7}}=>5
[7,3,2,6,4,5,1]=>[3,2,5,6,4,1,7]=>{{1,3,5},{2},{4,6},{7}}=>{{1},{2,4,6},{3},{5,7}}=>1
[7,3,2,6,5,1,4]=>[3,2,7,5,4,1,6]=>{{1,3,7},{2},{4,5},{6}}=>{{1,2,4},{3},{5,6},{7}}=>4
[7,3,2,6,5,4,1]=>[3,2,6,5,4,1,7]=>{{1,3,6},{2},{4,5},{7}}=>{{1},{2,4,7},{3},{5,6}}=>1
[7,3,4,1,2,5,6]=>[5,2,3,6,7,1,4]=>{{1,5,7},{2},{3},{4,6}}=>{{1,2,6},{3},{4},{5,7}}=>6
[7,3,4,1,2,6,5]=>[5,2,3,7,6,1,4]=>{{1,5,6},{2},{3},{4,7}}=>{{1,5},{2,6,7},{3},{4}}=>5
[7,3,4,1,5,2,6]=>[6,2,3,5,7,1,4]=>{{1,6},{2},{3},{4,5,7}}=>{{1,5,6},{2,7},{3},{4}}=>6
[7,3,4,1,5,6,2]=>[7,2,3,5,6,1,4]=>{{1,7},{2},{3},{4,5,6}}=>{{1,2},{3},{4},{5,6,7}}=>2
[7,3,4,1,6,2,5]=>[6,2,3,7,5,1,4]=>{{1,6},{2},{3},{4,7},{5}}=>{{1,5},{2,7},{3},{4},{6}}=>5
[7,3,4,1,6,5,2]=>[7,2,3,6,5,1,4]=>{{1,7},{2},{3},{4,6},{5}}=>{{1,2},{3},{4},{5,7},{6}}=>2
[7,3,4,2,1,5,6]=>[4,2,3,6,7,1,5]=>{{1,4,6},{2},{3},{5,7}}=>{{1,6},{2,5,7},{3},{4}}=>6
[7,3,4,2,1,6,5]=>[4,2,3,7,6,1,5]=>{{1,4,7},{2},{3},{5,6}}=>{{1,2,5},{3},{4},{6,7}}=>5
[7,3,4,2,5,1,6]=>[4,2,3,5,7,1,6]=>{{1,4,5,7},{2},{3},{6}}=>{{1,2,5,6},{3},{4},{7}}=>6
[7,3,4,2,5,6,1]=>[4,2,3,5,6,1,7]=>{{1,4,5,6},{2},{3},{7}}=>{{1},{2,5,6,7},{3},{4}}=>1
[7,3,4,2,6,1,5]=>[4,2,3,7,5,1,6]=>{{1,4,7},{2},{3},{5},{6}}=>{{1,2,5},{3},{4},{6},{7}}=>5
[7,3,4,2,6,5,1]=>[4,2,3,6,5,1,7]=>{{1,4,6},{2},{3},{5},{7}}=>{{1},{2,5,7},{3},{4},{6}}=>1
[7,3,4,5,1,2,6]=>[6,2,3,4,7,1,5]=>{{1,6},{2},{3},{4},{5,7}}=>{{1,6},{2,7},{3},{4},{5}}=>6
[7,3,4,5,1,6,2]=>[7,2,3,4,6,1,5]=>{{1,7},{2},{3},{4},{5,6}}=>{{1,2},{3},{4},{5},{6,7}}=>2
[7,3,4,5,2,1,6]=>[5,2,3,4,7,1,6]=>{{1,5,7},{2},{3},{4},{6}}=>{{1,2,6},{3},{4},{5},{7}}=>6
[7,3,4,5,2,6,1]=>[5,2,3,4,6,1,7]=>{{1,5,6},{2},{3},{4},{7}}=>{{1},{2,6,7},{3},{4},{5}}=>1
[7,3,4,5,6,1,2]=>[7,2,3,4,5,1,6]=>{{1,7},{2},{3},{4},{5},{6}}=>{{1,2},{3},{4},{5},{6},{7}}=>2
[7,3,4,5,6,2,1]=>[6,2,3,4,5,1,7]=>{{1,6},{2},{3},{4},{5},{7}}=>{{1},{2,7},{3},{4},{5},{6}}=>1
[7,3,4,6,1,2,5]=>[6,2,3,7,4,1,5]=>{{1,6},{2},{3},{4,7},{5}}=>{{1,5},{2,7},{3},{4},{6}}=>5
[7,3,4,6,1,5,2]=>[7,2,3,6,4,1,5]=>{{1,7},{2},{3},{4,6},{5}}=>{{1,2},{3},{4},{5,7},{6}}=>2
[7,3,4,6,2,1,5]=>[5,2,3,7,4,1,6]=>{{1,5},{2},{3},{4,7},{6}}=>{{1,5},{2,6},{3},{4},{7}}=>5
[7,3,4,6,2,5,1]=>[5,2,3,6,4,1,7]=>{{1,5},{2},{3},{4,6},{7}}=>{{1},{2,6},{3},{4},{5,7}}=>1
[7,3,4,6,5,1,2]=>[7,2,3,5,4,1,6]=>{{1,7},{2},{3},{4,5},{6}}=>{{1,2},{3},{4},{5,6},{7}}=>2
[7,3,4,6,5,2,1]=>[6,2,3,5,4,1,7]=>{{1,6},{2},{3},{4,5},{7}}=>{{1},{2,7},{3},{4},{5,6}}=>1
[7,3,5,1,2,4,6]=>[5,2,6,3,7,1,4]=>{{1,5,7},{2},{3,6},{4}}=>{{1,2,6},{3},{4,7},{5}}=>6
[7,3,5,1,2,6,4]=>[5,2,7,3,6,1,4]=>{{1,5,6},{2},{3,7},{4}}=>{{1,4},{2,6,7},{3},{5}}=>4
[7,3,5,1,4,2,6]=>[6,2,5,3,7,1,4]=>{{1,6},{2},{3,5,7},{4}}=>{{1,4,6},{2,7},{3},{5}}=>6
[7,3,5,1,4,6,2]=>[7,2,5,3,6,1,4]=>{{1,7},{2},{3,5,6},{4}}=>{{1,2},{3},{4,6,7},{5}}=>2
[7,3,5,1,6,2,4]=>[6,2,7,3,5,1,4]=>{{1,6},{2},{3,7},{4},{5}}=>{{1,4},{2,7},{3},{5},{6}}=>4
[7,3,5,1,6,4,2]=>[7,2,6,3,5,1,4]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,2},{3},{4,7},{5},{6}}=>2
[7,3,5,2,1,4,6]=>[4,2,6,3,7,1,5]=>{{1,4},{2},{3,6},{5,7}}=>{{1,6},{2,5},{3},{4,7}}=>6
[7,3,5,2,1,6,4]=>[4,2,7,3,6,1,5]=>{{1,4},{2},{3,7},{5,6}}=>{{1,4},{2,5},{3},{6,7}}=>4
[7,3,5,2,4,1,6]=>[4,2,5,3,7,1,6]=>{{1,4},{2},{3,5,7},{6}}=>{{1,4,6},{2,5},{3},{7}}=>6
[7,3,5,2,4,6,1]=>[4,2,5,3,6,1,7]=>{{1,4},{2},{3,5,6},{7}}=>{{1},{2,5},{3},{4,6,7}}=>1
[7,3,5,2,6,1,4]=>[4,2,7,3,5,1,6]=>{{1,4},{2},{3,7},{5},{6}}=>{{1,4},{2,5},{3},{6},{7}}=>4
[7,3,5,2,6,4,1]=>[4,2,6,3,5,1,7]=>{{1,4},{2},{3,6},{5},{7}}=>{{1},{2,5},{3},{4,7},{6}}=>1
[7,3,5,4,1,2,6]=>[6,2,4,3,7,1,5]=>{{1,6},{2},{3,4},{5,7}}=>{{1,6},{2,7},{3},{4,5}}=>6
[7,3,5,4,1,6,2]=>[7,2,4,3,6,1,5]=>{{1,7},{2},{3,4},{5,6}}=>{{1,2},{3},{4,5},{6,7}}=>2
[7,3,5,4,2,1,6]=>[5,2,4,3,7,1,6]=>{{1,5,7},{2},{3,4},{6}}=>{{1,2,6},{3},{4,5},{7}}=>6
[7,3,5,4,2,6,1]=>[5,2,4,3,6,1,7]=>{{1,5,6},{2},{3,4},{7}}=>{{1},{2,6,7},{3},{4,5}}=>1
[7,3,5,4,6,1,2]=>[7,2,4,3,5,1,6]=>{{1,7},{2},{3,4},{5},{6}}=>{{1,2},{3},{4,5},{6},{7}}=>2
[7,3,5,4,6,2,1]=>[6,2,4,3,5,1,7]=>{{1,6},{2},{3,4},{5},{7}}=>{{1},{2,7},{3},{4,5},{6}}=>1
[7,3,5,6,1,2,4]=>[6,2,7,3,4,1,5]=>{{1,6},{2},{3,7},{4},{5}}=>{{1,4},{2,7},{3},{5},{6}}=>4
[7,3,5,6,1,4,2]=>[7,2,6,3,4,1,5]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,2},{3},{4,7},{5},{6}}=>2
[7,3,5,6,2,1,4]=>[5,2,7,3,4,1,6]=>{{1,5},{2},{3,7},{4},{6}}=>{{1,4},{2,6},{3},{5},{7}}=>4
[7,3,5,6,2,4,1]=>[5,2,6,3,4,1,7]=>{{1,5},{2},{3,6},{4},{7}}=>{{1},{2,6},{3},{4,7},{5}}=>1
[7,3,5,6,4,1,2]=>[7,2,5,3,4,1,6]=>{{1,7},{2},{3,5},{4},{6}}=>{{1,2},{3},{4,6},{5},{7}}=>2
[7,3,5,6,4,2,1]=>[6,2,5,3,4,1,7]=>{{1,6},{2},{3,5},{4},{7}}=>{{1},{2,7},{3},{4,6},{5}}=>1
[7,3,6,1,2,4,5]=>[5,2,6,7,3,1,4]=>{{1,5},{2},{3,6},{4,7}}=>{{1,5},{2,6},{3},{4,7}}=>5
[7,3,6,1,2,5,4]=>[5,2,7,6,3,1,4]=>{{1,5},{2},{3,7},{4,6}}=>{{1,4},{2,6},{3},{5,7}}=>4
[7,3,6,1,4,2,5]=>[6,2,5,7,3,1,4]=>{{1,6},{2},{3,5},{4,7}}=>{{1,5},{2,7},{3},{4,6}}=>5
[7,3,6,1,4,5,2]=>[7,2,5,6,3,1,4]=>{{1,7},{2},{3,5},{4,6}}=>{{1,2},{3},{4,6},{5,7}}=>2
[7,3,6,1,5,2,4]=>[6,2,7,5,3,1,4]=>{{1,6},{2},{3,7},{4,5}}=>{{1,4},{2,7},{3},{5,6}}=>4
[7,3,6,1,5,4,2]=>[7,2,6,5,3,1,4]=>{{1,7},{2},{3,6},{4,5}}=>{{1,2},{3},{4,7},{5,6}}=>2
[7,3,6,2,1,4,5]=>[4,2,6,7,3,1,5]=>{{1,4,7},{2},{3,6},{5}}=>{{1,2,5},{3},{4,7},{6}}=>5
[7,3,6,2,1,5,4]=>[4,2,7,6,3,1,5]=>{{1,4,6},{2},{3,7},{5}}=>{{1,4},{2,5,7},{3},{6}}=>4
[7,3,6,2,4,1,5]=>[4,2,5,7,3,1,6]=>{{1,4,7},{2},{3,5},{6}}=>{{1,2,5},{3},{4,6},{7}}=>5
[7,3,6,2,4,5,1]=>[4,2,5,6,3,1,7]=>{{1,4,6},{2},{3,5},{7}}=>{{1},{2,5,7},{3},{4,6}}=>1
[7,3,6,2,5,1,4]=>[4,2,7,5,3,1,6]=>{{1,4,5},{2},{3,7},{6}}=>{{1,4},{2,5,6},{3},{7}}=>4
[7,3,6,2,5,4,1]=>[4,2,6,5,3,1,7]=>{{1,4,5},{2},{3,6},{7}}=>{{1},{2,5,6},{3},{4,7}}=>1
[7,3,6,4,1,2,5]=>[6,2,4,7,3,1,5]=>{{1,6},{2},{3,4,7},{5}}=>{{1,4,5},{2,7},{3},{6}}=>5
[7,3,6,4,1,5,2]=>[7,2,4,6,3,1,5]=>{{1,7},{2},{3,4,6},{5}}=>{{1,2},{3},{4,5,7},{6}}=>2
[7,3,6,4,2,1,5]=>[5,2,4,7,3,1,6]=>{{1,5},{2},{3,4,7},{6}}=>{{1,4,5},{2,6},{3},{7}}=>5
[7,3,6,4,2,5,1]=>[5,2,4,6,3,1,7]=>{{1,5},{2},{3,4,6},{7}}=>{{1},{2,6},{3},{4,5,7}}=>1
[7,3,6,4,5,1,2]=>[7,2,4,5,3,1,6]=>{{1,7},{2},{3,4,5},{6}}=>{{1,2},{3},{4,5,6},{7}}=>2
[7,3,6,4,5,2,1]=>[6,2,4,5,3,1,7]=>{{1,6},{2},{3,4,5},{7}}=>{{1},{2,7},{3},{4,5,6}}=>1
[7,3,6,5,1,2,4]=>[6,2,7,4,3,1,5]=>{{1,6},{2},{3,7},{4},{5}}=>{{1,4},{2,7},{3},{5},{6}}=>4
[7,3,6,5,1,4,2]=>[7,2,6,4,3,1,5]=>{{1,7},{2},{3,6},{4},{5}}=>{{1,2},{3},{4,7},{5},{6}}=>2
[7,3,6,5,2,1,4]=>[5,2,7,4,3,1,6]=>{{1,5},{2},{3,7},{4},{6}}=>{{1,4},{2,6},{3},{5},{7}}=>4
[7,3,6,5,2,4,1]=>[5,2,6,4,3,1,7]=>{{1,5},{2},{3,6},{4},{7}}=>{{1},{2,6},{3},{4,7},{5}}=>1
[7,3,6,5,4,1,2]=>[7,2,5,4,3,1,6]=>{{1,7},{2},{3,5},{4},{6}}=>{{1,2},{3},{4,6},{5},{7}}=>2
[7,3,6,5,4,2,1]=>[6,2,5,4,3,1,7]=>{{1,6},{2},{3,5},{4},{7}}=>{{1},{2,7},{3},{4,6},{5}}=>1
[7,4,1,2,3,5,6]=>[4,5,2,6,7,1,3]=>{{1,4,6},{2,5,7},{3}}=>{{1,3,6},{2,5,7},{4}}=>6
[7,4,1,2,3,6,5]=>[4,5,2,7,6,1,3]=>{{1,4,7},{2,5,6},{3}}=>{{1,2,5},{3,6,7},{4}}=>5
[7,4,1,2,5,3,6]=>[4,6,2,5,7,1,3]=>{{1,4,5,7},{2,6},{3}}=>{{1,2,5,6},{3,7},{4}}=>6
[7,4,1,2,5,6,3]=>[4,7,2,5,6,1,3]=>{{1,4,5,6},{2,7},{3}}=>{{1,3},{2,5,6,7},{4}}=>3
[7,4,1,2,6,3,5]=>[4,6,2,7,5,1,3]=>{{1,4,7},{2,6},{3},{5}}=>{{1,2,5},{3,7},{4},{6}}=>5
[7,4,1,2,6,5,3]=>[4,7,2,6,5,1,3]=>{{1,4,6},{2,7},{3},{5}}=>{{1,3},{2,5,7},{4},{6}}=>3
[7,4,1,3,2,5,6]=>[5,4,2,6,7,1,3]=>{{1,5,7},{2,4,6},{3}}=>{{1,2,6},{3,5,7},{4}}=>6
[7,4,1,3,2,6,5]=>[5,4,2,7,6,1,3]=>{{1,5,6},{2,4,7},{3}}=>{{1,3,5},{2,6,7},{4}}=>5
[7,4,1,3,5,2,6]=>[6,4,2,5,7,1,3]=>{{1,6},{2,4,5,7},{3}}=>{{1,3,5,6},{2,7},{4}}=>6
[7,4,1,3,5,6,2]=>[7,4,2,5,6,1,3]=>{{1,7},{2,4,5,6},{3}}=>{{1,2},{3,5,6,7},{4}}=>2
[7,4,1,3,6,2,5]=>[6,4,2,7,5,1,3]=>{{1,6},{2,4,7},{3},{5}}=>{{1,3,5},{2,7},{4},{6}}=>5
[7,4,1,3,6,5,2]=>[7,4,2,6,5,1,3]=>{{1,7},{2,4,6},{3},{5}}=>{{1,2},{3,5,7},{4},{6}}=>2
[7,4,1,5,2,3,6]=>[5,6,2,4,7,1,3]=>{{1,5,7},{2,6},{3},{4}}=>{{1,2,6},{3,7},{4},{5}}=>6
[7,4,1,5,2,6,3]=>[5,7,2,4,6,1,3]=>{{1,5,6},{2,7},{3},{4}}=>{{1,3},{2,6,7},{4},{5}}=>3
[7,4,1,5,3,2,6]=>[6,5,2,4,7,1,3]=>{{1,6},{2,5,7},{3},{4}}=>{{1,3,6},{2,7},{4},{5}}=>6
[7,4,1,5,3,6,2]=>[7,5,2,4,6,1,3]=>{{1,7},{2,5,6},{3},{4}}=>{{1,2},{3,6,7},{4},{5}}=>2
[7,4,1,5,6,2,3]=>[6,7,2,4,5,1,3]=>{{1,6},{2,7},{3},{4},{5}}=>{{1,3},{2,7},{4},{5},{6}}=>3
[7,4,1,5,6,3,2]=>[7,6,2,4,5,1,3]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,2},{3,7},{4},{5},{6}}=>2
[7,4,1,6,2,3,5]=>[5,6,2,7,4,1,3]=>{{1,5},{2,6},{3},{4,7}}=>{{1,5},{2,6},{3,7},{4}}=>5
[7,4,1,6,2,5,3]=>[5,7,2,6,4,1,3]=>{{1,5},{2,7},{3},{4,6}}=>{{1,3},{2,6},{4},{5,7}}=>3
[7,4,1,6,3,2,5]=>[6,5,2,7,4,1,3]=>{{1,6},{2,5},{3},{4,7}}=>{{1,5},{2,7},{3,6},{4}}=>5
[7,4,1,6,3,5,2]=>[7,5,2,6,4,1,3]=>{{1,7},{2,5},{3},{4,6}}=>{{1,2},{3,6},{4},{5,7}}=>2
[7,4,1,6,5,2,3]=>[6,7,2,5,4,1,3]=>{{1,6},{2,7},{3},{4,5}}=>{{1,3},{2,7},{4},{5,6}}=>3
[7,4,1,6,5,3,2]=>[7,6,2,5,4,1,3]=>{{1,7},{2,6},{3},{4,5}}=>{{1,2},{3,7},{4},{5,6}}=>2
[7,4,2,1,3,5,6]=>[3,5,2,6,7,1,4]=>{{1,3},{2,5,7},{4,6}}=>{{1,3,6},{2,4},{5,7}}=>6
[7,4,2,1,3,6,5]=>[3,5,2,7,6,1,4]=>{{1,3},{2,5,6},{4,7}}=>{{1,5},{2,4},{3,6,7}}=>5
[7,4,2,1,5,3,6]=>[3,6,2,5,7,1,4]=>{{1,3},{2,6},{4,5,7}}=>{{1,5,6},{2,4},{3,7}}=>6
[7,4,2,1,5,6,3]=>[3,7,2,5,6,1,4]=>{{1,3},{2,7},{4,5,6}}=>{{1,3},{2,4},{5,6,7}}=>3
[7,4,2,1,6,3,5]=>[3,6,2,7,5,1,4]=>{{1,3},{2,6},{4,7},{5}}=>{{1,5},{2,4},{3,7},{6}}=>5
[7,4,2,1,6,5,3]=>[3,7,2,6,5,1,4]=>{{1,3},{2,7},{4,6},{5}}=>{{1,3},{2,4},{5,7},{6}}=>3
[7,4,2,3,1,5,6]=>[3,4,2,6,7,1,5]=>{{1,3},{2,4,6},{5,7}}=>{{1,6},{2,4},{3,5,7}}=>6
[7,4,2,3,1,6,5]=>[3,4,2,7,6,1,5]=>{{1,3},{2,4,7},{5,6}}=>{{1,3,5},{2,4},{6,7}}=>5
[7,4,2,3,5,1,6]=>[3,4,2,5,7,1,6]=>{{1,3},{2,4,5,7},{6}}=>{{1,3,5,6},{2,4},{7}}=>6
[7,4,2,3,5,6,1]=>[3,4,2,5,6,1,7]=>{{1,3},{2,4,5,6},{7}}=>{{1},{2,4},{3,5,6,7}}=>1
[7,4,2,3,6,1,5]=>[3,4,2,7,5,1,6]=>{{1,3},{2,4,7},{5},{6}}=>{{1,3,5},{2,4},{6},{7}}=>5
[7,4,2,3,6,5,1]=>[3,4,2,6,5,1,7]=>{{1,3},{2,4,6},{5},{7}}=>{{1},{2,4},{3,5,7},{6}}=>1
[7,4,2,5,1,3,6]=>[3,6,2,4,7,1,5]=>{{1,3},{2,6},{4},{5,7}}=>{{1,6},{2,4},{3,7},{5}}=>6
[7,4,2,5,1,6,3]=>[3,7,2,4,6,1,5]=>{{1,3},{2,7},{4},{5,6}}=>{{1,3},{2,4},{5},{6,7}}=>3
[7,4,2,5,3,1,6]=>[3,5,2,4,7,1,6]=>{{1,3},{2,5,7},{4},{6}}=>{{1,3,6},{2,4},{5},{7}}=>6
[7,4,2,5,3,6,1]=>[3,5,2,4,6,1,7]=>{{1,3},{2,5,6},{4},{7}}=>{{1},{2,4},{3,6,7},{5}}=>1
[7,4,2,5,6,1,3]=>[3,7,2,4,5,1,6]=>{{1,3},{2,7},{4},{5},{6}}=>{{1,3},{2,4},{5},{6},{7}}=>3
[7,4,2,5,6,3,1]=>[3,6,2,4,5,1,7]=>{{1,3},{2,6},{4},{5},{7}}=>{{1},{2,4},{3,7},{5},{6}}=>1
[7,4,2,6,1,3,5]=>[3,6,2,7,4,1,5]=>{{1,3},{2,6},{4,7},{5}}=>{{1,5},{2,4},{3,7},{6}}=>5
[7,4,2,6,1,5,3]=>[3,7,2,6,4,1,5]=>{{1,3},{2,7},{4,6},{5}}=>{{1,3},{2,4},{5,7},{6}}=>3
[7,4,2,6,3,1,5]=>[3,5,2,7,4,1,6]=>{{1,3},{2,5},{4,7},{6}}=>{{1,5},{2,4},{3,6},{7}}=>5
[7,4,2,6,3,5,1]=>[3,5,2,6,4,1,7]=>{{1,3},{2,5},{4,6},{7}}=>{{1},{2,4},{3,6},{5,7}}=>1
[7,4,2,6,5,1,3]=>[3,7,2,5,4,1,6]=>{{1,3},{2,7},{4,5},{6}}=>{{1,3},{2,4},{5,6},{7}}=>3
[7,4,2,6,5,3,1]=>[3,6,2,5,4,1,7]=>{{1,3},{2,6},{4,5},{7}}=>{{1},{2,4},{3,7},{5,6}}=>1
[7,4,3,1,2,5,6]=>[5,3,2,6,7,1,4]=>{{1,5,7},{2,3},{4,6}}=>{{1,2,6},{3,4},{5,7}}=>6
[7,4,3,1,2,6,5]=>[5,3,2,7,6,1,4]=>{{1,5,6},{2,3},{4,7}}=>{{1,5},{2,6,7},{3,4}}=>5
[7,4,3,1,5,2,6]=>[6,3,2,5,7,1,4]=>{{1,6},{2,3},{4,5,7}}=>{{1,5,6},{2,7},{3,4}}=>6
[7,4,3,1,5,6,2]=>[7,3,2,5,6,1,4]=>{{1,7},{2,3},{4,5,6}}=>{{1,2},{3,4},{5,6,7}}=>2
[7,4,3,1,6,2,5]=>[6,3,2,7,5,1,4]=>{{1,6},{2,3},{4,7},{5}}=>{{1,5},{2,7},{3,4},{6}}=>5
[7,4,3,1,6,5,2]=>[7,3,2,6,5,1,4]=>{{1,7},{2,3},{4,6},{5}}=>{{1,2},{3,4},{5,7},{6}}=>2
[7,4,3,2,1,5,6]=>[4,3,2,6,7,1,5]=>{{1,4,6},{2,3},{5,7}}=>{{1,6},{2,5,7},{3,4}}=>6
[7,4,3,2,1,6,5]=>[4,3,2,7,6,1,5]=>{{1,4,7},{2,3},{5,6}}=>{{1,2,5},{3,4},{6,7}}=>5
[7,4,3,2,5,1,6]=>[4,3,2,5,7,1,6]=>{{1,4,5,7},{2,3},{6}}=>{{1,2,5,6},{3,4},{7}}=>6
[7,4,3,2,5,6,1]=>[4,3,2,5,6,1,7]=>{{1,4,5,6},{2,3},{7}}=>{{1},{2,5,6,7},{3,4}}=>1
[7,4,3,2,6,1,5]=>[4,3,2,7,5,1,6]=>{{1,4,7},{2,3},{5},{6}}=>{{1,2,5},{3,4},{6},{7}}=>5
[7,4,3,2,6,5,1]=>[4,3,2,6,5,1,7]=>{{1,4,6},{2,3},{5},{7}}=>{{1},{2,5,7},{3,4},{6}}=>1
[7,4,3,5,1,2,6]=>[6,3,2,4,7,1,5]=>{{1,6},{2,3},{4},{5,7}}=>{{1,6},{2,7},{3,4},{5}}=>6
[7,4,3,5,1,6,2]=>[7,3,2,4,6,1,5]=>{{1,7},{2,3},{4},{5,6}}=>{{1,2},{3,4},{5},{6,7}}=>2
[7,4,3,5,2,1,6]=>[5,3,2,4,7,1,6]=>{{1,5,7},{2,3},{4},{6}}=>{{1,2,6},{3,4},{5},{7}}=>6
[7,4,3,5,2,6,1]=>[5,3,2,4,6,1,7]=>{{1,5,6},{2,3},{4},{7}}=>{{1},{2,6,7},{3,4},{5}}=>1
[7,4,3,5,6,1,2]=>[7,3,2,4,5,1,6]=>{{1,7},{2,3},{4},{5},{6}}=>{{1,2},{3,4},{5},{6},{7}}=>2
[7,4,3,5,6,2,1]=>[6,3,2,4,5,1,7]=>{{1,6},{2,3},{4},{5},{7}}=>{{1},{2,7},{3,4},{5},{6}}=>1
[7,4,3,6,1,2,5]=>[6,3,2,7,4,1,5]=>{{1,6},{2,3},{4,7},{5}}=>{{1,5},{2,7},{3,4},{6}}=>5
[7,4,3,6,1,5,2]=>[7,3,2,6,4,1,5]=>{{1,7},{2,3},{4,6},{5}}=>{{1,2},{3,4},{5,7},{6}}=>2
[7,4,3,6,2,1,5]=>[5,3,2,7,4,1,6]=>{{1,5},{2,3},{4,7},{6}}=>{{1,5},{2,6},{3,4},{7}}=>5
[7,4,3,6,2,5,1]=>[5,3,2,6,4,1,7]=>{{1,5},{2,3},{4,6},{7}}=>{{1},{2,6},{3,4},{5,7}}=>1
[7,4,3,6,5,1,2]=>[7,3,2,5,4,1,6]=>{{1,7},{2,3},{4,5},{6}}=>{{1,2},{3,4},{5,6},{7}}=>2
[7,4,3,6,5,2,1]=>[6,3,2,5,4,1,7]=>{{1,6},{2,3},{4,5},{7}}=>{{1},{2,7},{3,4},{5,6}}=>1
[7,4,5,1,2,3,6]=>[5,6,2,3,7,1,4]=>{{1,5,7},{2,6},{3},{4}}=>{{1,2,6},{3,7},{4},{5}}=>6
[7,4,5,1,2,6,3]=>[5,7,2,3,6,1,4]=>{{1,5,6},{2,7},{3},{4}}=>{{1,3},{2,6,7},{4},{5}}=>3
[7,4,5,1,3,2,6]=>[6,5,2,3,7,1,4]=>{{1,6},{2,5,7},{3},{4}}=>{{1,3,6},{2,7},{4},{5}}=>6
[7,4,5,1,3,6,2]=>[7,5,2,3,6,1,4]=>{{1,7},{2,5,6},{3},{4}}=>{{1,2},{3,6,7},{4},{5}}=>2
[7,4,5,1,6,2,3]=>[6,7,2,3,5,1,4]=>{{1,6},{2,7},{3},{4},{5}}=>{{1,3},{2,7},{4},{5},{6}}=>3
[7,4,5,1,6,3,2]=>[7,6,2,3,5,1,4]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,2},{3,7},{4},{5},{6}}=>2
[7,4,5,2,1,3,6]=>[4,6,2,3,7,1,5]=>{{1,4},{2,6},{3},{5,7}}=>{{1,6},{2,5},{3,7},{4}}=>6
[7,4,5,2,1,6,3]=>[4,7,2,3,6,1,5]=>{{1,4},{2,7},{3},{5,6}}=>{{1,3},{2,5},{4},{6,7}}=>3
[7,4,5,2,3,1,6]=>[4,5,2,3,7,1,6]=>{{1,4},{2,5,7},{3},{6}}=>{{1,3,6},{2,5},{4},{7}}=>6
[7,4,5,2,3,6,1]=>[4,5,2,3,6,1,7]=>{{1,4},{2,5,6},{3},{7}}=>{{1},{2,5},{3,6,7},{4}}=>1
[7,4,5,2,6,1,3]=>[4,7,2,3,5,1,6]=>{{1,4},{2,7},{3},{5},{6}}=>{{1,3},{2,5},{4},{6},{7}}=>3
[7,4,5,2,6,3,1]=>[4,6,2,3,5,1,7]=>{{1,4},{2,6},{3},{5},{7}}=>{{1},{2,5},{3,7},{4},{6}}=>1
[7,4,5,3,1,2,6]=>[6,4,2,3,7,1,5]=>{{1,6},{2,4},{3},{5,7}}=>{{1,6},{2,7},{3,5},{4}}=>6
[7,4,5,3,1,6,2]=>[7,4,2,3,6,1,5]=>{{1,7},{2,4},{3},{5,6}}=>{{1,2},{3,5},{4},{6,7}}=>2
[7,4,5,3,2,1,6]=>[5,4,2,3,7,1,6]=>{{1,5,7},{2,4},{3},{6}}=>{{1,2,6},{3,5},{4},{7}}=>6
[7,4,5,3,2,6,1]=>[5,4,2,3,6,1,7]=>{{1,5,6},{2,4},{3},{7}}=>{{1},{2,6,7},{3,5},{4}}=>1
[7,4,5,3,6,1,2]=>[7,4,2,3,5,1,6]=>{{1,7},{2,4},{3},{5},{6}}=>{{1,2},{3,5},{4},{6},{7}}=>2
[7,4,5,3,6,2,1]=>[6,4,2,3,5,1,7]=>{{1,6},{2,4},{3},{5},{7}}=>{{1},{2,7},{3,5},{4},{6}}=>1
[7,4,5,6,1,2,3]=>[6,7,2,3,4,1,5]=>{{1,6},{2,7},{3},{4},{5}}=>{{1,3},{2,7},{4},{5},{6}}=>3
[7,4,5,6,1,3,2]=>[7,6,2,3,4,1,5]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,2},{3,7},{4},{5},{6}}=>2
[7,4,5,6,2,1,3]=>[5,7,2,3,4,1,6]=>{{1,5},{2,7},{3},{4},{6}}=>{{1,3},{2,6},{4},{5},{7}}=>3
[7,4,5,6,2,3,1]=>[5,6,2,3,4,1,7]=>{{1,5},{2,6},{3},{4},{7}}=>{{1},{2,6},{3,7},{4},{5}}=>1
[7,4,5,6,3,1,2]=>[7,5,2,3,4,1,6]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,2},{3,6},{4},{5},{7}}=>2
[7,4,5,6,3,2,1]=>[6,5,2,3,4,1,7]=>{{1,6},{2,5},{3},{4},{7}}=>{{1},{2,7},{3,6},{4},{5}}=>1
[7,4,6,1,2,3,5]=>[5,6,2,7,3,1,4]=>{{1,5},{2,6},{3},{4,7}}=>{{1,5},{2,6},{3,7},{4}}=>5
[7,4,6,1,2,5,3]=>[5,7,2,6,3,1,4]=>{{1,5},{2,7},{3},{4,6}}=>{{1,3},{2,6},{4},{5,7}}=>3
[7,4,6,1,3,2,5]=>[6,5,2,7,3,1,4]=>{{1,6},{2,5},{3},{4,7}}=>{{1,5},{2,7},{3,6},{4}}=>5
[7,4,6,1,3,5,2]=>[7,5,2,6,3,1,4]=>{{1,7},{2,5},{3},{4,6}}=>{{1,2},{3,6},{4},{5,7}}=>2
[7,4,6,1,5,2,3]=>[6,7,2,5,3,1,4]=>{{1,6},{2,7},{3},{4,5}}=>{{1,3},{2,7},{4},{5,6}}=>3
[7,4,6,1,5,3,2]=>[7,6,2,5,3,1,4]=>{{1,7},{2,6},{3},{4,5}}=>{{1,2},{3,7},{4},{5,6}}=>2
[7,4,6,2,1,3,5]=>[4,6,2,7,3,1,5]=>{{1,4,7},{2,6},{3},{5}}=>{{1,2,5},{3,7},{4},{6}}=>5
[7,4,6,2,1,5,3]=>[4,7,2,6,3,1,5]=>{{1,4,6},{2,7},{3},{5}}=>{{1,3},{2,5,7},{4},{6}}=>3
[7,4,6,2,3,1,5]=>[4,5,2,7,3,1,6]=>{{1,4,7},{2,5},{3},{6}}=>{{1,2,5},{3,6},{4},{7}}=>5
[7,4,6,2,3,5,1]=>[4,5,2,6,3,1,7]=>{{1,4,6},{2,5},{3},{7}}=>{{1},{2,5,7},{3,6},{4}}=>1
[7,4,6,2,5,1,3]=>[4,7,2,5,3,1,6]=>{{1,4,5},{2,7},{3},{6}}=>{{1,3},{2,5,6},{4},{7}}=>3
[7,4,6,2,5,3,1]=>[4,6,2,5,3,1,7]=>{{1,4,5},{2,6},{3},{7}}=>{{1},{2,5,6},{3,7},{4}}=>1
[7,4,6,3,1,2,5]=>[6,4,2,7,3,1,5]=>{{1,6},{2,4,7},{3},{5}}=>{{1,3,5},{2,7},{4},{6}}=>5
[7,4,6,3,1,5,2]=>[7,4,2,6,3,1,5]=>{{1,7},{2,4,6},{3},{5}}=>{{1,2},{3,5,7},{4},{6}}=>2
[7,4,6,3,2,1,5]=>[5,4,2,7,3,1,6]=>{{1,5},{2,4,7},{3},{6}}=>{{1,3,5},{2,6},{4},{7}}=>5
[7,4,6,3,2,5,1]=>[5,4,2,6,3,1,7]=>{{1,5},{2,4,6},{3},{7}}=>{{1},{2,6},{3,5,7},{4}}=>1
[7,4,6,3,5,1,2]=>[7,4,2,5,3,1,6]=>{{1,7},{2,4,5},{3},{6}}=>{{1,2},{3,5,6},{4},{7}}=>2
[7,4,6,3,5,2,1]=>[6,4,2,5,3,1,7]=>{{1,6},{2,4,5},{3},{7}}=>{{1},{2,7},{3,5,6},{4}}=>1
[7,4,6,5,1,2,3]=>[6,7,2,4,3,1,5]=>{{1,6},{2,7},{3},{4},{5}}=>{{1,3},{2,7},{4},{5},{6}}=>3
[7,4,6,5,1,3,2]=>[7,6,2,4,3,1,5]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,2},{3,7},{4},{5},{6}}=>2
[7,4,6,5,2,1,3]=>[5,7,2,4,3,1,6]=>{{1,5},{2,7},{3},{4},{6}}=>{{1,3},{2,6},{4},{5},{7}}=>3
[7,4,6,5,2,3,1]=>[5,6,2,4,3,1,7]=>{{1,5},{2,6},{3},{4},{7}}=>{{1},{2,6},{3,7},{4},{5}}=>1
[7,4,6,5,3,1,2]=>[7,5,2,4,3,1,6]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,2},{3,6},{4},{5},{7}}=>2
[7,4,6,5,3,2,1]=>[6,5,2,4,3,1,7]=>{{1,6},{2,5},{3},{4},{7}}=>{{1},{2,7},{3,6},{4},{5}}=>1
[7,5,1,2,3,4,6]=>[4,5,6,2,7,1,3]=>{{1,4},{2,5,7},{3,6}}=>{{1,3,6},{2,5},{4,7}}=>6
[7,5,1,2,3,6,4]=>[4,5,7,2,6,1,3]=>{{1,4},{2,5,6},{3,7}}=>{{1,4},{2,5},{3,6,7}}=>4
[7,5,1,2,4,3,6]=>[4,6,5,2,7,1,3]=>{{1,4},{2,6},{3,5,7}}=>{{1,4,6},{2,5},{3,7}}=>6
[7,5,1,2,4,6,3]=>[4,7,5,2,6,1,3]=>{{1,4},{2,7},{3,5,6}}=>{{1,3},{2,5},{4,6,7}}=>3
[7,5,1,2,6,3,4]=>[4,6,7,2,5,1,3]=>{{1,4},{2,6},{3,7},{5}}=>{{1,4},{2,5},{3,7},{6}}=>4
[7,5,1,2,6,4,3]=>[4,7,6,2,5,1,3]=>{{1,4},{2,7},{3,6},{5}}=>{{1,3},{2,5},{4,7},{6}}=>3
[7,5,1,3,2,4,6]=>[5,4,6,2,7,1,3]=>{{1,5,7},{2,4},{3,6}}=>{{1,2,6},{3,5},{4,7}}=>6
[7,5,1,3,2,6,4]=>[5,4,7,2,6,1,3]=>{{1,5,6},{2,4},{3,7}}=>{{1,4},{2,6,7},{3,5}}=>4
[7,5,1,3,4,2,6]=>[6,4,5,2,7,1,3]=>{{1,6},{2,4},{3,5,7}}=>{{1,4,6},{2,7},{3,5}}=>6
[7,5,1,3,4,6,2]=>[7,4,5,2,6,1,3]=>{{1,7},{2,4},{3,5,6}}=>{{1,2},{3,5},{4,6,7}}=>2
[7,5,1,3,6,2,4]=>[6,4,7,2,5,1,3]=>{{1,6},{2,4},{3,7},{5}}=>{{1,4},{2,7},{3,5},{6}}=>4
[7,5,1,3,6,4,2]=>[7,4,6,2,5,1,3]=>{{1,7},{2,4},{3,6},{5}}=>{{1,2},{3,5},{4,7},{6}}=>2
[7,5,1,4,2,3,6]=>[5,6,4,2,7,1,3]=>{{1,5,7},{2,6},{3,4}}=>{{1,2,6},{3,7},{4,5}}=>6
[7,5,1,4,2,6,3]=>[5,7,4,2,6,1,3]=>{{1,5,6},{2,7},{3,4}}=>{{1,3},{2,6,7},{4,5}}=>3
[7,5,1,4,3,2,6]=>[6,5,4,2,7,1,3]=>{{1,6},{2,5,7},{3,4}}=>{{1,3,6},{2,7},{4,5}}=>6
[7,5,1,4,3,6,2]=>[7,5,4,2,6,1,3]=>{{1,7},{2,5,6},{3,4}}=>{{1,2},{3,6,7},{4,5}}=>2
[7,5,1,4,6,2,3]=>[6,7,4,2,5,1,3]=>{{1,6},{2,7},{3,4},{5}}=>{{1,3},{2,7},{4,5},{6}}=>3
[7,5,1,4,6,3,2]=>[7,6,4,2,5,1,3]=>{{1,7},{2,6},{3,4},{5}}=>{{1,2},{3,7},{4,5},{6}}=>2
[7,5,1,6,2,3,4]=>[5,6,7,2,4,1,3]=>{{1,5},{2,6},{3,7},{4}}=>{{1,4},{2,6},{3,7},{5}}=>4
[7,5,1,6,2,4,3]=>[5,7,6,2,4,1,3]=>{{1,5},{2,7},{3,6},{4}}=>{{1,3},{2,6},{4,7},{5}}=>3
[7,5,1,6,3,2,4]=>[6,5,7,2,4,1,3]=>{{1,6},{2,5},{3,7},{4}}=>{{1,4},{2,7},{3,6},{5}}=>4
[7,5,1,6,3,4,2]=>[7,5,6,2,4,1,3]=>{{1,7},{2,5},{3,6},{4}}=>{{1,2},{3,6},{4,7},{5}}=>2
[7,5,1,6,4,2,3]=>[6,7,5,2,4,1,3]=>{{1,6},{2,7},{3,5},{4}}=>{{1,3},{2,7},{4,6},{5}}=>3
[7,5,1,6,4,3,2]=>[7,6,5,2,4,1,3]=>{{1,7},{2,6},{3,5},{4}}=>{{1,2},{3,7},{4,6},{5}}=>2
[7,5,2,1,3,4,6]=>[3,5,6,2,7,1,4]=>{{1,3,6},{2,5,7},{4}}=>{{1,3,6},{2,4,7},{5}}=>6
[7,5,2,1,3,6,4]=>[3,5,7,2,6,1,4]=>{{1,3,7},{2,5,6},{4}}=>{{1,2,4},{3,6,7},{5}}=>4
[7,5,2,1,4,3,6]=>[3,6,5,2,7,1,4]=>{{1,3,5,7},{2,6},{4}}=>{{1,2,4,6},{3,7},{5}}=>6
[7,5,2,1,4,6,3]=>[3,7,5,2,6,1,4]=>{{1,3,5,6},{2,7},{4}}=>{{1,3},{2,4,6,7},{5}}=>3
[7,5,2,1,6,3,4]=>[3,6,7,2,5,1,4]=>{{1,3,7},{2,6},{4},{5}}=>{{1,2,4},{3,7},{5},{6}}=>4
[7,5,2,1,6,4,3]=>[3,7,6,2,5,1,4]=>{{1,3,6},{2,7},{4},{5}}=>{{1,3},{2,4,7},{5},{6}}=>3
[7,5,2,3,1,4,6]=>[3,4,6,2,7,1,5]=>{{1,3,6},{2,4},{5,7}}=>{{1,6},{2,4,7},{3,5}}=>6
[7,5,2,3,1,6,4]=>[3,4,7,2,6,1,5]=>{{1,3,7},{2,4},{5,6}}=>{{1,2,4},{3,5},{6,7}}=>4
[7,5,2,3,4,1,6]=>[3,4,5,2,7,1,6]=>{{1,3,5,7},{2,4},{6}}=>{{1,2,4,6},{3,5},{7}}=>6
[7,5,2,3,4,6,1]=>[3,4,5,2,6,1,7]=>{{1,3,5,6},{2,4},{7}}=>{{1},{2,4,6,7},{3,5}}=>1
[7,5,2,3,6,1,4]=>[3,4,7,2,5,1,6]=>{{1,3,7},{2,4},{5},{6}}=>{{1,2,4},{3,5},{6},{7}}=>4
[7,5,2,3,6,4,1]=>[3,4,6,2,5,1,7]=>{{1,3,6},{2,4},{5},{7}}=>{{1},{2,4,7},{3,5},{6}}=>1
[7,5,2,4,1,3,6]=>[3,6,4,2,7,1,5]=>{{1,3,4},{2,6},{5,7}}=>{{1,6},{2,4,5},{3,7}}=>6
[7,5,2,4,1,6,3]=>[3,7,4,2,6,1,5]=>{{1,3,4},{2,7},{5,6}}=>{{1,3},{2,4,5},{6,7}}=>3
[7,5,2,4,3,1,6]=>[3,5,4,2,7,1,6]=>{{1,3,4},{2,5,7},{6}}=>{{1,3,6},{2,4,5},{7}}=>6
[7,5,2,4,3,6,1]=>[3,5,4,2,6,1,7]=>{{1,3,4},{2,5,6},{7}}=>{{1},{2,4,5},{3,6,7}}=>1
[7,5,2,4,6,1,3]=>[3,7,4,2,5,1,6]=>{{1,3,4},{2,7},{5},{6}}=>{{1,3},{2,4,5},{6},{7}}=>3
[7,5,2,4,6,3,1]=>[3,6,4,2,5,1,7]=>{{1,3,4},{2,6},{5},{7}}=>{{1},{2,4,5},{3,7},{6}}=>1
[7,5,2,6,1,3,4]=>[3,6,7,2,4,1,5]=>{{1,3,7},{2,6},{4},{5}}=>{{1,2,4},{3,7},{5},{6}}=>4
[7,5,2,6,1,4,3]=>[3,7,6,2,4,1,5]=>{{1,3,6},{2,7},{4},{5}}=>{{1,3},{2,4,7},{5},{6}}=>3
[7,5,2,6,3,1,4]=>[3,5,7,2,4,1,6]=>{{1,3,7},{2,5},{4},{6}}=>{{1,2,4},{3,6},{5},{7}}=>4
[7,5,2,6,3,4,1]=>[3,5,6,2,4,1,7]=>{{1,3,6},{2,5},{4},{7}}=>{{1},{2,4,7},{3,6},{5}}=>1
[7,5,2,6,4,1,3]=>[3,7,5,2,4,1,6]=>{{1,3,5},{2,7},{4},{6}}=>{{1,3},{2,4,6},{5},{7}}=>3
[7,5,2,6,4,3,1]=>[3,6,5,2,4,1,7]=>{{1,3,5},{2,6},{4},{7}}=>{{1},{2,4,6},{3,7},{5}}=>1
[7,5,3,1,2,4,6]=>[5,3,6,2,7,1,4]=>{{1,5,7},{2,3,6},{4}}=>{{1,2,6},{3,4,7},{5}}=>6
[7,5,3,1,2,6,4]=>[5,3,7,2,6,1,4]=>{{1,5,6},{2,3,7},{4}}=>{{1,3,4},{2,6,7},{5}}=>4
[7,5,3,1,4,2,6]=>[6,3,5,2,7,1,4]=>{{1,6},{2,3,5,7},{4}}=>{{1,3,4,6},{2,7},{5}}=>6
[7,5,3,1,4,6,2]=>[7,3,5,2,6,1,4]=>{{1,7},{2,3,5,6},{4}}=>{{1,2},{3,4,6,7},{5}}=>2
[7,5,3,1,6,2,4]=>[6,3,7,2,5,1,4]=>{{1,6},{2,3,7},{4},{5}}=>{{1,3,4},{2,7},{5},{6}}=>4
[7,5,3,1,6,4,2]=>[7,3,6,2,5,1,4]=>{{1,7},{2,3,6},{4},{5}}=>{{1,2},{3,4,7},{5},{6}}=>2
[7,5,3,2,1,4,6]=>[4,3,6,2,7,1,5]=>{{1,4},{2,3,6},{5,7}}=>{{1,6},{2,5},{3,4,7}}=>6
[7,5,3,2,1,6,4]=>[4,3,7,2,6,1,5]=>{{1,4},{2,3,7},{5,6}}=>{{1,3,4},{2,5},{6,7}}=>4
[7,5,3,2,4,1,6]=>[4,3,5,2,7,1,6]=>{{1,4},{2,3,5,7},{6}}=>{{1,3,4,6},{2,5},{7}}=>6
[7,5,3,2,4,6,1]=>[4,3,5,2,6,1,7]=>{{1,4},{2,3,5,6},{7}}=>{{1},{2,5},{3,4,6,7}}=>1
[7,5,3,2,6,1,4]=>[4,3,7,2,5,1,6]=>{{1,4},{2,3,7},{5},{6}}=>{{1,3,4},{2,5},{6},{7}}=>4
[7,5,3,2,6,4,1]=>[4,3,6,2,5,1,7]=>{{1,4},{2,3,6},{5},{7}}=>{{1},{2,5},{3,4,7},{6}}=>1
[7,5,3,4,1,2,6]=>[6,3,4,2,7,1,5]=>{{1,6},{2,3,4},{5,7}}=>{{1,6},{2,7},{3,4,5}}=>6
[7,5,3,4,1,6,2]=>[7,3,4,2,6,1,5]=>{{1,7},{2,3,4},{5,6}}=>{{1,2},{3,4,5},{6,7}}=>2
[7,5,3,4,2,1,6]=>[5,3,4,2,7,1,6]=>{{1,5,7},{2,3,4},{6}}=>{{1,2,6},{3,4,5},{7}}=>6
[7,5,3,4,2,6,1]=>[5,3,4,2,6,1,7]=>{{1,5,6},{2,3,4},{7}}=>{{1},{2,6,7},{3,4,5}}=>1
[7,5,3,4,6,1,2]=>[7,3,4,2,5,1,6]=>{{1,7},{2,3,4},{5},{6}}=>{{1,2},{3,4,5},{6},{7}}=>2
[7,5,3,4,6,2,1]=>[6,3,4,2,5,1,7]=>{{1,6},{2,3,4},{5},{7}}=>{{1},{2,7},{3,4,5},{6}}=>1
[7,5,3,6,1,2,4]=>[6,3,7,2,4,1,5]=>{{1,6},{2,3,7},{4},{5}}=>{{1,3,4},{2,7},{5},{6}}=>4
[7,5,3,6,1,4,2]=>[7,3,6,2,4,1,5]=>{{1,7},{2,3,6},{4},{5}}=>{{1,2},{3,4,7},{5},{6}}=>2
[7,5,3,6,2,1,4]=>[5,3,7,2,4,1,6]=>{{1,5},{2,3,7},{4},{6}}=>{{1,3,4},{2,6},{5},{7}}=>4
[7,5,3,6,2,4,1]=>[5,3,6,2,4,1,7]=>{{1,5},{2,3,6},{4},{7}}=>{{1},{2,6},{3,4,7},{5}}=>1
[7,5,3,6,4,1,2]=>[7,3,5,2,4,1,6]=>{{1,7},{2,3,5},{4},{6}}=>{{1,2},{3,4,6},{5},{7}}=>2
[7,5,3,6,4,2,1]=>[6,3,5,2,4,1,7]=>{{1,6},{2,3,5},{4},{7}}=>{{1},{2,7},{3,4,6},{5}}=>1
[7,5,4,1,2,3,6]=>[5,6,3,2,7,1,4]=>{{1,5,7},{2,6},{3},{4}}=>{{1,2,6},{3,7},{4},{5}}=>6
[7,5,4,1,2,6,3]=>[5,7,3,2,6,1,4]=>{{1,5,6},{2,7},{3},{4}}=>{{1,3},{2,6,7},{4},{5}}=>3
[7,5,4,1,3,2,6]=>[6,5,3,2,7,1,4]=>{{1,6},{2,5,7},{3},{4}}=>{{1,3,6},{2,7},{4},{5}}=>6
[7,5,4,1,3,6,2]=>[7,5,3,2,6,1,4]=>{{1,7},{2,5,6},{3},{4}}=>{{1,2},{3,6,7},{4},{5}}=>2
[7,5,4,1,6,2,3]=>[6,7,3,2,5,1,4]=>{{1,6},{2,7},{3},{4},{5}}=>{{1,3},{2,7},{4},{5},{6}}=>3
[7,5,4,1,6,3,2]=>[7,6,3,2,5,1,4]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,2},{3,7},{4},{5},{6}}=>2
[7,5,4,2,1,3,6]=>[4,6,3,2,7,1,5]=>{{1,4},{2,6},{3},{5,7}}=>{{1,6},{2,5},{3,7},{4}}=>6
[7,5,4,2,1,6,3]=>[4,7,3,2,6,1,5]=>{{1,4},{2,7},{3},{5,6}}=>{{1,3},{2,5},{4},{6,7}}=>3
[7,5,4,2,3,1,6]=>[4,5,3,2,7,1,6]=>{{1,4},{2,5,7},{3},{6}}=>{{1,3,6},{2,5},{4},{7}}=>6
[7,5,4,2,3,6,1]=>[4,5,3,2,6,1,7]=>{{1,4},{2,5,6},{3},{7}}=>{{1},{2,5},{3,6,7},{4}}=>1
[7,5,4,2,6,1,3]=>[4,7,3,2,5,1,6]=>{{1,4},{2,7},{3},{5},{6}}=>{{1,3},{2,5},{4},{6},{7}}=>3
[7,5,4,2,6,3,1]=>[4,6,3,2,5,1,7]=>{{1,4},{2,6},{3},{5},{7}}=>{{1},{2,5},{3,7},{4},{6}}=>1
[7,5,4,3,1,2,6]=>[6,4,3,2,7,1,5]=>{{1,6},{2,4},{3},{5,7}}=>{{1,6},{2,7},{3,5},{4}}=>6
[7,5,4,3,1,6,2]=>[7,4,3,2,6,1,5]=>{{1,7},{2,4},{3},{5,6}}=>{{1,2},{3,5},{4},{6,7}}=>2
[7,5,4,3,2,1,6]=>[5,4,3,2,7,1,6]=>{{1,5,7},{2,4},{3},{6}}=>{{1,2,6},{3,5},{4},{7}}=>6
[7,5,4,3,2,6,1]=>[5,4,3,2,6,1,7]=>{{1,5,6},{2,4},{3},{7}}=>{{1},{2,6,7},{3,5},{4}}=>1
[7,5,4,3,6,1,2]=>[7,4,3,2,5,1,6]=>{{1,7},{2,4},{3},{5},{6}}=>{{1,2},{3,5},{4},{6},{7}}=>2
[7,5,4,3,6,2,1]=>[6,4,3,2,5,1,7]=>{{1,6},{2,4},{3},{5},{7}}=>{{1},{2,7},{3,5},{4},{6}}=>1
[7,5,4,6,1,2,3]=>[6,7,3,2,4,1,5]=>{{1,6},{2,7},{3},{4},{5}}=>{{1,3},{2,7},{4},{5},{6}}=>3
[7,5,4,6,1,3,2]=>[7,6,3,2,4,1,5]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,2},{3,7},{4},{5},{6}}=>2
[7,5,4,6,2,1,3]=>[5,7,3,2,4,1,6]=>{{1,5},{2,7},{3},{4},{6}}=>{{1,3},{2,6},{4},{5},{7}}=>3
[7,5,4,6,2,3,1]=>[5,6,3,2,4,1,7]=>{{1,5},{2,6},{3},{4},{7}}=>{{1},{2,6},{3,7},{4},{5}}=>1
[7,5,4,6,3,1,2]=>[7,5,3,2,4,1,6]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,2},{3,6},{4},{5},{7}}=>2
[7,5,4,6,3,2,1]=>[6,5,3,2,4,1,7]=>{{1,6},{2,5},{3},{4},{7}}=>{{1},{2,7},{3,6},{4},{5}}=>1
[7,5,6,1,2,3,4]=>[5,6,7,2,3,1,4]=>{{1,5},{2,6},{3,7},{4}}=>{{1,4},{2,6},{3,7},{5}}=>4
[7,5,6,1,2,4,3]=>[5,7,6,2,3,1,4]=>{{1,5},{2,7},{3,6},{4}}=>{{1,3},{2,6},{4,7},{5}}=>3
[7,5,6,1,3,2,4]=>[6,5,7,2,3,1,4]=>{{1,6},{2,5},{3,7},{4}}=>{{1,4},{2,7},{3,6},{5}}=>4
[7,5,6,1,3,4,2]=>[7,5,6,2,3,1,4]=>{{1,7},{2,5},{3,6},{4}}=>{{1,2},{3,6},{4,7},{5}}=>2
[7,5,6,1,4,2,3]=>[6,7,5,2,3,1,4]=>{{1,6},{2,7},{3,5},{4}}=>{{1,3},{2,7},{4,6},{5}}=>3
[7,5,6,1,4,3,2]=>[7,6,5,2,3,1,4]=>{{1,7},{2,6},{3,5},{4}}=>{{1,2},{3,7},{4,6},{5}}=>2
[7,5,6,2,1,3,4]=>[4,6,7,2,3,1,5]=>{{1,4},{2,6},{3,7},{5}}=>{{1,4},{2,5},{3,7},{6}}=>4
[7,5,6,2,1,4,3]=>[4,7,6,2,3,1,5]=>{{1,4},{2,7},{3,6},{5}}=>{{1,3},{2,5},{4,7},{6}}=>3
[7,5,6,2,3,1,4]=>[4,5,7,2,3,1,6]=>{{1,4},{2,5},{3,7},{6}}=>{{1,4},{2,5},{3,6},{7}}=>4
[7,5,6,2,3,4,1]=>[4,5,6,2,3,1,7]=>{{1,4},{2,5},{3,6},{7}}=>{{1},{2,5},{3,6},{4,7}}=>1
[7,5,6,2,4,1,3]=>[4,7,5,2,3,1,6]=>{{1,4},{2,7},{3,5},{6}}=>{{1,3},{2,5},{4,6},{7}}=>3
[7,5,6,2,4,3,1]=>[4,6,5,2,3,1,7]=>{{1,4},{2,6},{3,5},{7}}=>{{1},{2,5},{3,7},{4,6}}=>1
[7,5,6,3,1,2,4]=>[6,4,7,2,3,1,5]=>{{1,6},{2,4},{3,7},{5}}=>{{1,4},{2,7},{3,5},{6}}=>4
[7,5,6,3,1,4,2]=>[7,4,6,2,3,1,5]=>{{1,7},{2,4},{3,6},{5}}=>{{1,2},{3,5},{4,7},{6}}=>2
[7,5,6,3,2,1,4]=>[5,4,7,2,3,1,6]=>{{1,5},{2,4},{3,7},{6}}=>{{1,4},{2,6},{3,5},{7}}=>4
[7,5,6,3,2,4,1]=>[5,4,6,2,3,1,7]=>{{1,5},{2,4},{3,6},{7}}=>{{1},{2,6},{3,5},{4,7}}=>1
[7,5,6,3,4,1,2]=>[7,4,5,2,3,1,6]=>{{1,7},{2,4},{3,5},{6}}=>{{1,2},{3,5},{4,6},{7}}=>2
[7,5,6,3,4,2,1]=>[6,4,5,2,3,1,7]=>{{1,6},{2,4},{3,5},{7}}=>{{1},{2,7},{3,5},{4,6}}=>1
[7,5,6,4,1,2,3]=>[6,7,4,2,3,1,5]=>{{1,6},{2,7},{3,4},{5}}=>{{1,3},{2,7},{4,5},{6}}=>3
[7,5,6,4,1,3,2]=>[7,6,4,2,3,1,5]=>{{1,7},{2,6},{3,4},{5}}=>{{1,2},{3,7},{4,5},{6}}=>2
[7,5,6,4,2,1,3]=>[5,7,4,2,3,1,6]=>{{1,5},{2,7},{3,4},{6}}=>{{1,3},{2,6},{4,5},{7}}=>3
[7,5,6,4,2,3,1]=>[5,6,4,2,3,1,7]=>{{1,5},{2,6},{3,4},{7}}=>{{1},{2,6},{3,7},{4,5}}=>1
[7,5,6,4,3,1,2]=>[7,5,4,2,3,1,6]=>{{1,7},{2,5},{3,4},{6}}=>{{1,2},{3,6},{4,5},{7}}=>2
[7,5,6,4,3,2,1]=>[6,5,4,2,3,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1},{2,7},{3,6},{4,5}}=>1
[7,6,1,2,3,4,5]=>[4,5,6,7,2,1,3]=>{{1,4,7},{2,5},{3,6}}=>{{1,2,5},{3,6},{4,7}}=>5
[7,6,1,2,3,5,4]=>[4,5,7,6,2,1,3]=>{{1,4,6},{2,5},{3,7}}=>{{1,4},{2,5,7},{3,6}}=>4
[7,6,1,2,4,3,5]=>[4,6,5,7,2,1,3]=>{{1,4,7},{2,6},{3,5}}=>{{1,2,5},{3,7},{4,6}}=>5
[7,6,1,2,4,5,3]=>[4,7,5,6,2,1,3]=>{{1,4,6},{2,7},{3,5}}=>{{1,3},{2,5,7},{4,6}}=>3
[7,6,1,2,5,3,4]=>[4,6,7,5,2,1,3]=>{{1,4,5},{2,6},{3,7}}=>{{1,4},{2,5,6},{3,7}}=>4
[7,6,1,2,5,4,3]=>[4,7,6,5,2,1,3]=>{{1,4,5},{2,7},{3,6}}=>{{1,3},{2,5,6},{4,7}}=>3
[7,6,1,3,2,4,5]=>[5,4,6,7,2,1,3]=>{{1,5},{2,4,7},{3,6}}=>{{1,3,5},{2,6},{4,7}}=>5
[7,6,1,3,2,5,4]=>[5,4,7,6,2,1,3]=>{{1,5},{2,4,6},{3,7}}=>{{1,4},{2,6},{3,5,7}}=>4
[7,6,1,3,4,2,5]=>[6,4,5,7,2,1,3]=>{{1,6},{2,4,7},{3,5}}=>{{1,3,5},{2,7},{4,6}}=>5
[7,6,1,3,4,5,2]=>[7,4,5,6,2,1,3]=>{{1,7},{2,4,6},{3,5}}=>{{1,2},{3,5,7},{4,6}}=>2
[7,6,1,3,5,2,4]=>[6,4,7,5,2,1,3]=>{{1,6},{2,4,5},{3,7}}=>{{1,4},{2,7},{3,5,6}}=>4
[7,6,1,3,5,4,2]=>[7,4,6,5,2,1,3]=>{{1,7},{2,4,5},{3,6}}=>{{1,2},{3,5,6},{4,7}}=>2
[7,6,1,4,2,3,5]=>[5,6,4,7,2,1,3]=>{{1,5},{2,6},{3,4,7}}=>{{1,4,5},{2,6},{3,7}}=>5
[7,6,1,4,2,5,3]=>[5,7,4,6,2,1,3]=>{{1,5},{2,7},{3,4,6}}=>{{1,3},{2,6},{4,5,7}}=>3
[7,6,1,4,3,2,5]=>[6,5,4,7,2,1,3]=>{{1,6},{2,5},{3,4,7}}=>{{1,4,5},{2,7},{3,6}}=>5
[7,6,1,4,3,5,2]=>[7,5,4,6,2,1,3]=>{{1,7},{2,5},{3,4,6}}=>{{1,2},{3,6},{4,5,7}}=>2
[7,6,1,4,5,2,3]=>[6,7,4,5,2,1,3]=>{{1,6},{2,7},{3,4,5}}=>{{1,3},{2,7},{4,5,6}}=>3
[7,6,1,4,5,3,2]=>[7,6,4,5,2,1,3]=>{{1,7},{2,6},{3,4,5}}=>{{1,2},{3,7},{4,5,6}}=>2
[7,6,1,5,2,3,4]=>[5,6,7,4,2,1,3]=>{{1,5},{2,6},{3,7},{4}}=>{{1,4},{2,6},{3,7},{5}}=>4
[7,6,1,5,2,4,3]=>[5,7,6,4,2,1,3]=>{{1,5},{2,7},{3,6},{4}}=>{{1,3},{2,6},{4,7},{5}}=>3
[7,6,1,5,3,2,4]=>[6,5,7,4,2,1,3]=>{{1,6},{2,5},{3,7},{4}}=>{{1,4},{2,7},{3,6},{5}}=>4
[7,6,1,5,3,4,2]=>[7,5,6,4,2,1,3]=>{{1,7},{2,5},{3,6},{4}}=>{{1,2},{3,6},{4,7},{5}}=>2
[7,6,1,5,4,2,3]=>[6,7,5,4,2,1,3]=>{{1,6},{2,7},{3,5},{4}}=>{{1,3},{2,7},{4,6},{5}}=>3
[7,6,1,5,4,3,2]=>[7,6,5,4,2,1,3]=>{{1,7},{2,6},{3,5},{4}}=>{{1,2},{3,7},{4,6},{5}}=>2
[7,6,2,1,3,4,5]=>[3,5,6,7,2,1,4]=>{{1,3,6},{2,5},{4,7}}=>{{1,5},{2,4,7},{3,6}}=>5
[7,6,2,1,3,5,4]=>[3,5,7,6,2,1,4]=>{{1,3,7},{2,5},{4,6}}=>{{1,2,4},{3,6},{5,7}}=>4
[7,6,2,1,4,3,5]=>[3,6,5,7,2,1,4]=>{{1,3,5},{2,6},{4,7}}=>{{1,5},{2,4,6},{3,7}}=>5
[7,6,2,1,4,5,3]=>[3,7,5,6,2,1,4]=>{{1,3,5},{2,7},{4,6}}=>{{1,3},{2,4,6},{5,7}}=>3
[7,6,2,1,5,3,4]=>[3,6,7,5,2,1,4]=>{{1,3,7},{2,6},{4,5}}=>{{1,2,4},{3,7},{5,6}}=>4
[7,6,2,1,5,4,3]=>[3,7,6,5,2,1,4]=>{{1,3,6},{2,7},{4,5}}=>{{1,3},{2,4,7},{5,6}}=>3
[7,6,2,3,1,4,5]=>[3,4,6,7,2,1,5]=>{{1,3,6},{2,4,7},{5}}=>{{1,3,5},{2,4,7},{6}}=>5
[7,6,2,3,1,5,4]=>[3,4,7,6,2,1,5]=>{{1,3,7},{2,4,6},{5}}=>{{1,2,4},{3,5,7},{6}}=>4
[7,6,2,3,4,1,5]=>[3,4,5,7,2,1,6]=>{{1,3,5},{2,4,7},{6}}=>{{1,3,5},{2,4,6},{7}}=>5
[7,6,2,3,4,5,1]=>[3,4,5,6,2,1,7]=>{{1,3,5},{2,4,6},{7}}=>{{1},{2,4,6},{3,5,7}}=>1
[7,6,2,3,5,1,4]=>[3,4,7,5,2,1,6]=>{{1,3,7},{2,4,5},{6}}=>{{1,2,4},{3,5,6},{7}}=>4
[7,6,2,3,5,4,1]=>[3,4,6,5,2,1,7]=>{{1,3,6},{2,4,5},{7}}=>{{1},{2,4,7},{3,5,6}}=>1
[7,6,2,4,1,3,5]=>[3,6,4,7,2,1,5]=>{{1,3,4,7},{2,6},{5}}=>{{1,2,4,5},{3,7},{6}}=>5
[7,6,2,4,1,5,3]=>[3,7,4,6,2,1,5]=>{{1,3,4,6},{2,7},{5}}=>{{1,3},{2,4,5,7},{6}}=>3
[7,6,2,4,3,1,5]=>[3,5,4,7,2,1,6]=>{{1,3,4,7},{2,5},{6}}=>{{1,2,4,5},{3,6},{7}}=>5
[7,6,2,4,3,5,1]=>[3,5,4,6,2,1,7]=>{{1,3,4,6},{2,5},{7}}=>{{1},{2,4,5,7},{3,6}}=>1
[7,6,2,4,5,1,3]=>[3,7,4,5,2,1,6]=>{{1,3,4,5},{2,7},{6}}=>{{1,3},{2,4,5,6},{7}}=>3
[7,6,2,4,5,3,1]=>[3,6,4,5,2,1,7]=>{{1,3,4,5},{2,6},{7}}=>{{1},{2,4,5,6},{3,7}}=>1
[7,6,2,5,1,3,4]=>[3,6,7,4,2,1,5]=>{{1,3,7},{2,6},{4},{5}}=>{{1,2,4},{3,7},{5},{6}}=>4
[7,6,2,5,1,4,3]=>[3,7,6,4,2,1,5]=>{{1,3,6},{2,7},{4},{5}}=>{{1,3},{2,4,7},{5},{6}}=>3
[7,6,2,5,3,1,4]=>[3,5,7,4,2,1,6]=>{{1,3,7},{2,5},{4},{6}}=>{{1,2,4},{3,6},{5},{7}}=>4
[7,6,2,5,3,4,1]=>[3,5,6,4,2,1,7]=>{{1,3,6},{2,5},{4},{7}}=>{{1},{2,4,7},{3,6},{5}}=>1
[7,6,2,5,4,1,3]=>[3,7,5,4,2,1,6]=>{{1,3,5},{2,7},{4},{6}}=>{{1,3},{2,4,6},{5},{7}}=>3
[7,6,2,5,4,3,1]=>[3,6,5,4,2,1,7]=>{{1,3,5},{2,6},{4},{7}}=>{{1},{2,4,6},{3,7},{5}}=>1
[7,6,3,1,2,4,5]=>[5,3,6,7,2,1,4]=>{{1,5},{2,3,6},{4,7}}=>{{1,5},{2,6},{3,4,7}}=>5
[7,6,3,1,2,5,4]=>[5,3,7,6,2,1,4]=>{{1,5},{2,3,7},{4,6}}=>{{1,3,4},{2,6},{5,7}}=>4
[7,6,3,1,4,2,5]=>[6,3,5,7,2,1,4]=>{{1,6},{2,3,5},{4,7}}=>{{1,5},{2,7},{3,4,6}}=>5
[7,6,3,1,4,5,2]=>[7,3,5,6,2,1,4]=>{{1,7},{2,3,5},{4,6}}=>{{1,2},{3,4,6},{5,7}}=>2
[7,6,3,1,5,2,4]=>[6,3,7,5,2,1,4]=>{{1,6},{2,3,7},{4,5}}=>{{1,3,4},{2,7},{5,6}}=>4
[7,6,3,1,5,4,2]=>[7,3,6,5,2,1,4]=>{{1,7},{2,3,6},{4,5}}=>{{1,2},{3,4,7},{5,6}}=>2
[7,6,3,2,1,4,5]=>[4,3,6,7,2,1,5]=>{{1,4,7},{2,3,6},{5}}=>{{1,2,5},{3,4,7},{6}}=>5
[7,6,3,2,1,5,4]=>[4,3,7,6,2,1,5]=>{{1,4,6},{2,3,7},{5}}=>{{1,3,4},{2,5,7},{6}}=>4
[7,6,3,2,4,1,5]=>[4,3,5,7,2,1,6]=>{{1,4,7},{2,3,5},{6}}=>{{1,2,5},{3,4,6},{7}}=>5
[7,6,3,2,4,5,1]=>[4,3,5,6,2,1,7]=>{{1,4,6},{2,3,5},{7}}=>{{1},{2,5,7},{3,4,6}}=>1
[7,6,3,2,5,1,4]=>[4,3,7,5,2,1,6]=>{{1,4,5},{2,3,7},{6}}=>{{1,3,4},{2,5,6},{7}}=>4
[7,6,3,2,5,4,1]=>[4,3,6,5,2,1,7]=>{{1,4,5},{2,3,6},{7}}=>{{1},{2,5,6},{3,4,7}}=>1
[7,6,3,4,1,2,5]=>[6,3,4,7,2,1,5]=>{{1,6},{2,3,4,7},{5}}=>{{1,3,4,5},{2,7},{6}}=>5
[7,6,3,4,1,5,2]=>[7,3,4,6,2,1,5]=>{{1,7},{2,3,4,6},{5}}=>{{1,2},{3,4,5,7},{6}}=>2
[7,6,3,4,2,1,5]=>[5,3,4,7,2,1,6]=>{{1,5},{2,3,4,7},{6}}=>{{1,3,4,5},{2,6},{7}}=>5
[7,6,3,4,2,5,1]=>[5,3,4,6,2,1,7]=>{{1,5},{2,3,4,6},{7}}=>{{1},{2,6},{3,4,5,7}}=>1
[7,6,3,4,5,1,2]=>[7,3,4,5,2,1,6]=>{{1,7},{2,3,4,5},{6}}=>{{1,2},{3,4,5,6},{7}}=>2
[7,6,3,4,5,2,1]=>[6,3,4,5,2,1,7]=>{{1,6},{2,3,4,5},{7}}=>{{1},{2,7},{3,4,5,6}}=>1
[7,6,3,5,1,2,4]=>[6,3,7,4,2,1,5]=>{{1,6},{2,3,7},{4},{5}}=>{{1,3,4},{2,7},{5},{6}}=>4
[7,6,3,5,1,4,2]=>[7,3,6,4,2,1,5]=>{{1,7},{2,3,6},{4},{5}}=>{{1,2},{3,4,7},{5},{6}}=>2
[7,6,3,5,2,1,4]=>[5,3,7,4,2,1,6]=>{{1,5},{2,3,7},{4},{6}}=>{{1,3,4},{2,6},{5},{7}}=>4
[7,6,3,5,2,4,1]=>[5,3,6,4,2,1,7]=>{{1,5},{2,3,6},{4},{7}}=>{{1},{2,6},{3,4,7},{5}}=>1
[7,6,3,5,4,1,2]=>[7,3,5,4,2,1,6]=>{{1,7},{2,3,5},{4},{6}}=>{{1,2},{3,4,6},{5},{7}}=>2
[7,6,3,5,4,2,1]=>[6,3,5,4,2,1,7]=>{{1,6},{2,3,5},{4},{7}}=>{{1},{2,7},{3,4,6},{5}}=>1
[7,6,4,1,2,3,5]=>[5,6,3,7,2,1,4]=>{{1,5},{2,6},{3},{4,7}}=>{{1,5},{2,6},{3,7},{4}}=>5
[7,6,4,1,2,5,3]=>[5,7,3,6,2,1,4]=>{{1,5},{2,7},{3},{4,6}}=>{{1,3},{2,6},{4},{5,7}}=>3
[7,6,4,1,3,2,5]=>[6,5,3,7,2,1,4]=>{{1,6},{2,5},{3},{4,7}}=>{{1,5},{2,7},{3,6},{4}}=>5
[7,6,4,1,3,5,2]=>[7,5,3,6,2,1,4]=>{{1,7},{2,5},{3},{4,6}}=>{{1,2},{3,6},{4},{5,7}}=>2
[7,6,4,1,5,2,3]=>[6,7,3,5,2,1,4]=>{{1,6},{2,7},{3},{4,5}}=>{{1,3},{2,7},{4},{5,6}}=>3
[7,6,4,1,5,3,2]=>[7,6,3,5,2,1,4]=>{{1,7},{2,6},{3},{4,5}}=>{{1,2},{3,7},{4},{5,6}}=>2
[7,6,4,2,1,3,5]=>[4,6,3,7,2,1,5]=>{{1,4,7},{2,6},{3},{5}}=>{{1,2,5},{3,7},{4},{6}}=>5
[7,6,4,2,1,5,3]=>[4,7,3,6,2,1,5]=>{{1,4,6},{2,7},{3},{5}}=>{{1,3},{2,5,7},{4},{6}}=>3
[7,6,4,2,3,1,5]=>[4,5,3,7,2,1,6]=>{{1,4,7},{2,5},{3},{6}}=>{{1,2,5},{3,6},{4},{7}}=>5
[7,6,4,2,3,5,1]=>[4,5,3,6,2,1,7]=>{{1,4,6},{2,5},{3},{7}}=>{{1},{2,5,7},{3,6},{4}}=>1
[7,6,4,2,5,1,3]=>[4,7,3,5,2,1,6]=>{{1,4,5},{2,7},{3},{6}}=>{{1,3},{2,5,6},{4},{7}}=>3
[7,6,4,2,5,3,1]=>[4,6,3,5,2,1,7]=>{{1,4,5},{2,6},{3},{7}}=>{{1},{2,5,6},{3,7},{4}}=>1
[7,6,4,3,1,2,5]=>[6,4,3,7,2,1,5]=>{{1,6},{2,4,7},{3},{5}}=>{{1,3,5},{2,7},{4},{6}}=>5
[7,6,4,3,1,5,2]=>[7,4,3,6,2,1,5]=>{{1,7},{2,4,6},{3},{5}}=>{{1,2},{3,5,7},{4},{6}}=>2
[7,6,4,3,2,1,5]=>[5,4,3,7,2,1,6]=>{{1,5},{2,4,7},{3},{6}}=>{{1,3,5},{2,6},{4},{7}}=>5
[7,6,4,3,2,5,1]=>[5,4,3,6,2,1,7]=>{{1,5},{2,4,6},{3},{7}}=>{{1},{2,6},{3,5,7},{4}}=>1
[7,6,4,3,5,1,2]=>[7,4,3,5,2,1,6]=>{{1,7},{2,4,5},{3},{6}}=>{{1,2},{3,5,6},{4},{7}}=>2
[7,6,4,3,5,2,1]=>[6,4,3,5,2,1,7]=>{{1,6},{2,4,5},{3},{7}}=>{{1},{2,7},{3,5,6},{4}}=>1
[7,6,4,5,1,2,3]=>[6,7,3,4,2,1,5]=>{{1,6},{2,7},{3},{4},{5}}=>{{1,3},{2,7},{4},{5},{6}}=>3
[7,6,4,5,1,3,2]=>[7,6,3,4,2,1,5]=>{{1,7},{2,6},{3},{4},{5}}=>{{1,2},{3,7},{4},{5},{6}}=>2
[7,6,4,5,2,1,3]=>[5,7,3,4,2,1,6]=>{{1,5},{2,7},{3},{4},{6}}=>{{1,3},{2,6},{4},{5},{7}}=>3
[7,6,4,5,2,3,1]=>[5,6,3,4,2,1,7]=>{{1,5},{2,6},{3},{4},{7}}=>{{1},{2,6},{3,7},{4},{5}}=>1
[7,6,4,5,3,1,2]=>[7,5,3,4,2,1,6]=>{{1,7},{2,5},{3},{4},{6}}=>{{1,2},{3,6},{4},{5},{7}}=>2
[7,6,4,5,3,2,1]=>[6,5,3,4,2,1,7]=>{{1,6},{2,5},{3},{4},{7}}=>{{1},{2,7},{3,6},{4},{5}}=>1
[7,6,5,1,2,3,4]=>[5,6,7,3,2,1,4]=>{{1,5},{2,6},{3,7},{4}}=>{{1,4},{2,6},{3,7},{5}}=>4
[7,6,5,1,2,4,3]=>[5,7,6,3,2,1,4]=>{{1,5},{2,7},{3,6},{4}}=>{{1,3},{2,6},{4,7},{5}}=>3
[7,6,5,1,3,2,4]=>[6,5,7,3,2,1,4]=>{{1,6},{2,5},{3,7},{4}}=>{{1,4},{2,7},{3,6},{5}}=>4
[7,6,5,1,3,4,2]=>[7,5,6,3,2,1,4]=>{{1,7},{2,5},{3,6},{4}}=>{{1,2},{3,6},{4,7},{5}}=>2
[7,6,5,1,4,2,3]=>[6,7,5,3,2,1,4]=>{{1,6},{2,7},{3,5},{4}}=>{{1,3},{2,7},{4,6},{5}}=>3
[7,6,5,1,4,3,2]=>[7,6,5,3,2,1,4]=>{{1,7},{2,6},{3,5},{4}}=>{{1,2},{3,7},{4,6},{5}}=>2
[7,6,5,2,1,3,4]=>[4,6,7,3,2,1,5]=>{{1,4},{2,6},{3,7},{5}}=>{{1,4},{2,5},{3,7},{6}}=>4
[7,6,5,2,1,4,3]=>[4,7,6,3,2,1,5]=>{{1,4},{2,7},{3,6},{5}}=>{{1,3},{2,5},{4,7},{6}}=>3
[7,6,5,2,3,1,4]=>[4,5,7,3,2,1,6]=>{{1,4},{2,5},{3,7},{6}}=>{{1,4},{2,5},{3,6},{7}}=>4
[7,6,5,2,3,4,1]=>[4,5,6,3,2,1,7]=>{{1,4},{2,5},{3,6},{7}}=>{{1},{2,5},{3,6},{4,7}}=>1
[7,6,5,2,4,1,3]=>[4,7,5,3,2,1,6]=>{{1,4},{2,7},{3,5},{6}}=>{{1,3},{2,5},{4,6},{7}}=>3
[7,6,5,2,4,3,1]=>[4,6,5,3,2,1,7]=>{{1,4},{2,6},{3,5},{7}}=>{{1},{2,5},{3,7},{4,6}}=>1
[7,6,5,3,1,2,4]=>[6,4,7,3,2,1,5]=>{{1,6},{2,4},{3,7},{5}}=>{{1,4},{2,7},{3,5},{6}}=>4
[7,6,5,3,1,4,2]=>[7,4,6,3,2,1,5]=>{{1,7},{2,4},{3,6},{5}}=>{{1,2},{3,5},{4,7},{6}}=>2
[7,6,5,3,2,1,4]=>[5,4,7,3,2,1,6]=>{{1,5},{2,4},{3,7},{6}}=>{{1,4},{2,6},{3,5},{7}}=>4
[7,6,5,3,2,4,1]=>[5,4,6,3,2,1,7]=>{{1,5},{2,4},{3,6},{7}}=>{{1},{2,6},{3,5},{4,7}}=>1
[7,6,5,3,4,1,2]=>[7,4,5,3,2,1,6]=>{{1,7},{2,4},{3,5},{6}}=>{{1,2},{3,5},{4,6},{7}}=>2
[7,6,5,3,4,2,1]=>[6,4,5,3,2,1,7]=>{{1,6},{2,4},{3,5},{7}}=>{{1},{2,7},{3,5},{4,6}}=>1
[7,6,5,4,1,2,3]=>[6,7,4,3,2,1,5]=>{{1,6},{2,7},{3,4},{5}}=>{{1,3},{2,7},{4,5},{6}}=>3
[7,6,5,4,1,3,2]=>[7,6,4,3,2,1,5]=>{{1,7},{2,6},{3,4},{5}}=>{{1,2},{3,7},{4,5},{6}}=>2
[7,6,5,4,2,1,3]=>[5,7,4,3,2,1,6]=>{{1,5},{2,7},{3,4},{6}}=>{{1,3},{2,6},{4,5},{7}}=>3
[7,6,5,4,2,3,1]=>[5,6,4,3,2,1,7]=>{{1,5},{2,6},{3,4},{7}}=>{{1},{2,6},{3,7},{4,5}}=>1
[7,6,5,4,3,1,2]=>[7,5,4,3,2,1,6]=>{{1,7},{2,5},{3,4},{6}}=>{{1,2},{3,6},{4,5},{7}}=>2
[7,6,5,4,3,2,1]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>{{1},{2,7},{3,6},{4,5}}=>1
[8,3,2,4,5,6,7,1]=>[3,2,4,5,6,7,1,8]=>{{1,3,4,5,6,7},{2},{8}}=>{{1},{2,4,5,6,7,8},{3}}=>1
[8,2,3,4,5,6,7,1]=>[2,3,4,5,6,7,1,8]=>{{1,2,3,4,5,6,7},{8}}=>{{1},{2,3,4,5,6,7,8}}=>1
[7,2,3,4,5,6,8,1]=>[2,3,4,5,6,1,7,8]=>{{1,2,3,4,5,6},{7},{8}}=>{{1},{2,3,4,5,6,7},{8}}=>1
[8,7,6,1,2,3,4,5]=>[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
[7,8,6,1,2,3,4,5]=>[5,6,7,8,3,1,2,4]=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,5},{2,6},{3,7},{4,8}}=>5
[8,6,7,1,2,3,4,5]=>[5,6,7,8,2,3,1,4]=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,5},{2,6},{3,7},{4,8}}=>5
[7,6,8,1,2,3,4,5]=>[5,6,7,8,2,1,3,4]=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,5},{2,6},{3,7},{4,8}}=>5
[6,7,8,1,2,3,4,5]=>[5,6,7,8,1,2,3,4]=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,5},{2,6},{3,7},{4,8}}=>5
[7,8,5,4,1,2,3,6]=>[6,7,4,3,8,1,2,5]=>{{1,6},{2,7},{3,4},{5,8}}=>{{1,6},{2,7},{3,8},{4,5}}=>6
[8,7,5,2,1,3,4,6]=>[4,6,7,3,8,2,1,5]=>{{1,4},{2,6},{3,7},{5,8}}=>{{1,6},{2,5},{3,7},{4,8}}=>6
[7,8,5,2,1,3,4,6]=>[4,6,7,3,8,1,2,5]=>{{1,4},{2,6},{3,7},{5,8}}=>{{1,6},{2,5},{3,7},{4,8}}=>6
[8,2,3,4,5,6,1,7]=>[2,3,4,5,6,8,1,7]=>{{1,2,3,4,5,6,8},{7}}=>{{1,2,3,4,5,6,7},{8}}=>7
[8,6,5,4,3,1,2,7]=>[7,5,4,3,2,8,1,6]=>{{1,7},{2,5},{3,4},{6,8}}=>{{1,7},{2,8},{3,6},{4,5}}=>7
[8,6,5,3,4,1,2,7]=>[7,4,5,3,2,8,1,6]=>{{1,7},{2,4},{3,5},{6,8}}=>{{1,7},{2,8},{3,5},{4,6}}=>7
[8,5,6,3,4,1,2,7]=>[7,4,5,2,3,8,1,6]=>{{1,7},{2,4},{3,5},{6,8}}=>{{1,7},{2,8},{3,5},{4,6}}=>7
[8,6,5,4,2,1,3,7]=>[5,7,4,3,2,8,1,6]=>{{1,5},{2,7},{3,4},{6,8}}=>{{1,7},{2,6},{3,8},{4,5}}=>7
[8,5,6,4,2,1,3,7]=>[5,7,4,2,3,8,1,6]=>{{1,5},{2,7},{3,4},{6,8}}=>{{1,7},{2,6},{3,8},{4,5}}=>7
[8,6,5,2,3,1,4,7]=>[4,5,7,3,2,8,1,6]=>{{1,4},{2,5},{3,7},{6,8}}=>{{1,7},{2,5},{3,6},{4,8}}=>7
[8,5,6,2,3,1,4,7]=>[4,5,7,2,3,8,1,6]=>{{1,4},{2,5},{3,7},{6,8}}=>{{1,7},{2,5},{3,6},{4,8}}=>7
[8,2,3,4,5,1,6,7]=>[2,3,4,5,7,8,1,6]=>{{1,2,3,4,5,7},{6,8}}=>{{1,7},{2,3,4,5,6,8}}=>7
[8,2,3,4,1,5,6,7]=>[2,3,4,6,7,8,1,5]=>{{1,2,3,4,6,8},{5,7}}=>{{1,2,3,4,5,7},{6,8}}=>7
[7,6,5,4,3,2,1,8]=>[6,5,4,3,2,1,8,7]=>{{1,6},{2,5},{3,4},{7,8}}=>{{1,8},{2,7},{3,6},{4,5}}=>8
[6,7,5,4,3,2,1,8]=>[6,5,4,3,1,2,8,7]=>{{1,6},{2,5},{3,4},{7,8}}=>{{1,8},{2,7},{3,6},{4,5}}=>8
[7,5,6,4,3,2,1,8]=>[6,5,4,2,3,1,8,7]=>{{1,6},{2,5},{3,4},{7,8}}=>{{1,8},{2,7},{3,6},{4,5}}=>8
[6,5,7,4,3,2,1,8]=>[6,5,4,2,1,3,8,7]=>{{1,6},{2,5},{3,4},{7,8}}=>{{1,8},{2,7},{3,6},{4,5}}=>8
[5,6,7,4,3,2,1,8]=>[6,5,4,1,2,3,8,7]=>{{1,6},{2,5},{3,4},{7,8}}=>{{1,8},{2,7},{3,6},{4,5}}=>8
[6,7,5,3,4,2,1,8]=>[6,4,5,3,1,2,8,7]=>{{1,6},{2,4},{3,5},{7,8}}=>{{1,8},{2,7},{3,5},{4,6}}=>8
[7,5,6,3,4,2,1,8]=>[6,4,5,2,3,1,8,7]=>{{1,6},{2,4},{3,5},{7,8}}=>{{1,8},{2,7},{3,5},{4,6}}=>8
[5,6,7,3,4,2,1,8]=>[6,4,5,1,2,3,8,7]=>{{1,6},{2,4},{3,5},{7,8}}=>{{1,8},{2,7},{3,5},{4,6}}=>8
[7,6,5,4,2,3,1,8]=>[5,6,4,3,2,1,8,7]=>{{1,5},{2,6},{3,4},{7,8}}=>{{1,8},{2,6},{3,7},{4,5}}=>8
[6,7,5,4,2,3,1,8]=>[5,6,4,3,1,2,8,7]=>{{1,5},{2,6},{3,4},{7,8}}=>{{1,8},{2,6},{3,7},{4,5}}=>8
[7,5,6,4,2,3,1,8]=>[5,6,4,2,3,1,8,7]=>{{1,5},{2,6},{3,4},{7,8}}=>{{1,8},{2,6},{3,7},{4,5}}=>8
[5,6,7,4,2,3,1,8]=>[5,6,4,1,2,3,8,7]=>{{1,5},{2,6},{3,4},{7,8}}=>{{1,8},{2,6},{3,7},{4,5}}=>8
[6,5,7,3,2,4,1,8]=>[5,4,6,2,1,3,8,7]=>{{1,5},{2,4},{3,6},{7,8}}=>{{1,8},{2,6},{3,5},{4,7}}=>8
[5,6,7,3,2,4,1,8]=>[5,4,6,1,2,3,8,7]=>{{1,5},{2,4},{3,6},{7,8}}=>{{1,8},{2,6},{3,5},{4,7}}=>8
[7,6,5,2,3,4,1,8]=>[4,5,6,3,2,1,8,7]=>{{1,4},{2,5},{3,6},{7,8}}=>{{1,8},{2,5},{3,6},{4,7}}=>8
[6,7,5,2,3,4,1,8]=>[4,5,6,3,1,2,8,7]=>{{1,4},{2,5},{3,6},{7,8}}=>{{1,8},{2,5},{3,6},{4,7}}=>8
[7,5,6,2,3,4,1,8]=>[4,5,6,2,3,1,8,7]=>{{1,4},{2,5},{3,6},{7,8}}=>{{1,8},{2,5},{3,6},{4,7}}=>8
[6,5,7,2,3,4,1,8]=>[4,5,6,2,1,3,8,7]=>{{1,4},{2,5},{3,6},{7,8}}=>{{1,8},{2,5},{3,6},{4,7}}=>8
[5,6,7,2,3,4,1,8]=>[4,5,6,1,2,3,8,7]=>{{1,4},{2,5},{3,6},{7,8}}=>{{1,8},{2,5},{3,6},{4,7}}=>8
[7,2,3,4,5,6,1,8]=>[2,3,4,5,6,1,8,7]=>{{1,2,3,4,5,6},{7,8}}=>{{1,8},{2,3,4,5,6,7}}=>8
[7,2,3,4,5,1,6,8]=>[2,3,4,5,7,1,8,6]=>{{1,2,3,4,5,7,8},{6}}=>{{1,2,3,4,5,6,8},{7}}=>8
[6,2,1,3,4,5,7,8]=>[2,4,5,6,1,7,8,3]=>{{1,2,4,6,7,8},{3,5}}=>{{1,2,3,5,7,8},{4,6}}=>8
[5,2,3,1,4,6,7,8]=>[2,3,5,1,6,7,8,4]=>{{1,2,3,5,6,7,8},{4}}=>{{1,2,3,4,6,7,8},{5}}=>8
[4,2,1,3,5,6,7,8]=>[2,4,1,5,6,7,8,3]=>{{1,2,4,5,6,7,8},{3}}=>{{1,2,3,5,6,7,8},{4}}=>8
[4,1,2,3,5,6,7,8]=>[3,4,1,5,6,7,8,2]=>{{1,3},{2,4,5,6,7,8}}=>{{1,3,5,6,7,8},{2,4}}=>8
[3,2,1,4,5,6,7,8]=>[2,1,4,5,6,7,8,3]=>{{1,2},{3,4,5,6,7,8}}=>{{1,4,5,6,7,8},{2,3}}=>8
[2,3,1,4,5,6,7,8]=>[1,2,4,5,6,7,8,3]=>{{1},{2},{3,4,5,6,7,8}}=>{{1,4,5,6,7,8},{2},{3}}=>8
[3,1,2,4,5,6,7,8]=>[3,1,4,5,6,7,8,2]=>{{1,3,4,5,6,7,8},{2}}=>{{1,2,4,5,6,7,8},{3}}=>8
[2,1,3,4,5,6,7,8]=>[1,3,4,5,6,7,8,2]=>{{1},{2,3,4,5,6,7,8}}=>{{1,3,4,5,6,7,8},{2}}=>8
[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>{{1,2,3,4,5,6,7,8}}=>{{1,2,3,4,5,6,7,8}}=>8
[1,8,7,6,5,4,3,2]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,2},{3,8},{4,7},{5,6}}=>2
[1,7,8,6,5,4,3,2]=>[8,7,6,5,4,2,3,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,2},{3,8},{4,7},{5,6}}=>2
[1,6,8,7,5,4,3,2]=>[8,7,6,5,2,4,3,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,2},{3,8},{4,7},{5,6}}=>2
[1,7,6,8,5,4,3,2]=>[8,7,6,5,3,2,4,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,2},{3,8},{4,7},{5,6}}=>2
[1,6,7,8,5,4,3,2]=>[8,7,6,5,2,3,4,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,2},{3,8},{4,7},{5,6}}=>2
[1,4,3,8,7,6,5,2]=>[8,3,2,7,6,5,4,1]=>{{1,8},{2,3},{4,7},{5,6}}=>{{1,2},{3,4},{5,8},{6,7}}=>2
[1,4,3,7,8,6,5,2]=>[8,3,2,7,6,4,5,1]=>{{1,8},{2,3},{4,7},{5,6}}=>{{1,2},{3,4},{5,8},{6,7}}=>2
[1,6,5,4,3,8,7,2]=>[8,5,4,3,2,7,6,1]=>{{1,8},{2,5},{3,4},{6,7}}=>{{1,2},{3,6},{4,5},{7,8}}=>2
[1,5,6,4,3,8,7,2]=>[8,5,4,2,3,7,6,1]=>{{1,8},{2,5},{3,4},{6,7}}=>{{1,2},{3,6},{4,5},{7,8}}=>2
[1,4,3,6,5,8,7,2]=>[8,3,2,5,4,7,6,1]=>{{1,8},{2,3},{4,5},{6,7}}=>{{1,2},{3,4},{5,6},{7,8}}=>2
[3,2,1,8,7,6,5,4]=>[2,1,8,7,6,5,4,3]=>{{1,2},{3,8},{4,7},{5,6}}=>{{1,4},{2,3},{5,8},{6,7}}=>4
[3,2,1,7,8,6,5,4]=>[2,1,8,7,6,4,5,3]=>{{1,2},{3,8},{4,7},{5,6}}=>{{1,4},{2,3},{5,8},{6,7}}=>4
[3,2,1,6,5,8,7,4]=>[2,1,8,5,4,7,6,3]=>{{1,2},{3,8},{4,5},{6,7}}=>{{1,4},{2,3},{5,6},{7,8}}=>4
[5,4,3,2,1,8,7,6]=>[4,3,2,1,8,7,6,5]=>{{1,4},{2,3},{5,8},{6,7}}=>{{1,6},{2,5},{3,4},{7,8}}=>6
[4,5,3,2,1,8,7,6]=>[4,3,1,2,8,7,6,5]=>{{1,4},{2,3},{5,8},{6,7}}=>{{1,6},{2,5},{3,4},{7,8}}=>6
[3,2,5,4,1,8,7,6]=>[2,1,4,3,8,7,6,5]=>{{1,2},{3,4},{5,8},{6,7}}=>{{1,6},{2,3},{4,5},{7,8}}=>6
[1,2,4,3,5,6,8,7]=>[2,4,3,5,6,8,7,1]=>{{1,2,4,5,6,8},{3},{7}}=>{{1,2,3,5,6,7},{4},{8}}=>7
[1,2,3,4,5,6,8,7]=>[2,3,4,5,6,8,7,1]=>{{1,2,3,4,5,6,8},{7}}=>{{1,2,3,4,5,6,7},{8}}=>7
[5,7,6,4,3,2,1,8]=>[6,5,4,1,3,2,8,7]=>{{1,6},{2,5},{3,4},{7,8}}=>{{1,8},{2,7},{3,6},{4,5}}=>8
[3,2,7,6,5,4,1,8]=>[2,1,6,5,4,3,8,7]=>{{1,2},{3,6},{4,5},{7,8}}=>{{1,8},{2,3},{4,7},{5,6}}=>8
[3,2,6,7,5,4,1,8]=>[2,1,6,5,3,4,8,7]=>{{1,2},{3,6},{4,5},{7,8}}=>{{1,8},{2,3},{4,7},{5,6}}=>8
[5,4,3,2,7,6,1,8]=>[4,3,2,1,6,5,8,7]=>{{1,4},{2,3},{5,6},{7,8}}=>{{1,8},{2,5},{3,4},{6,7}}=>8
[4,5,3,2,7,6,1,8]=>[4,3,1,2,6,5,8,7]=>{{1,4},{2,3},{5,6},{7,8}}=>{{1,8},{2,5},{3,4},{6,7}}=>8
[3,2,5,4,7,6,1,8]=>[2,1,4,3,6,5,8,7]=>{{1,2},{3,4},{5,6},{7,8}}=>{{1,8},{2,3},{4,5},{6,7}}=>8
[1,2,3,4,7,6,5,8]=>[2,3,4,7,6,5,8,1]=>{{1,2,3,4,7,8},{5,6}}=>{{1,2,3,4,5,8},{6,7}}=>8
[1,2,5,4,3,6,7,8]=>[2,5,4,3,6,7,8,1]=>{{1,2,5,6,7,8},{3,4}}=>{{1,2,3,6,7,8},{4,5}}=>8
[1,4,3,2,5,6,7,8]=>[4,3,2,5,6,7,8,1]=>{{1,4,5,6,7,8},{2,3}}=>{{1,2,5,6,7,8},{3,4}}=>8
[2,1,4,3,5,6,7,8]=>[1,4,3,5,6,7,8,2]=>{{1},{2,4,5,6,7,8},{3}}=>{{1,3,5,6,7,8},{2},{4}}=>8
[1,3,2,4,5,6,7,8]=>[3,2,4,5,6,7,8,1]=>{{1,3,4,5,6,7,8},{2}}=>{{1,2,4,5,6,7,8},{3}}=>8
[1,8,5,4,7,6,3,2]=>[8,7,4,3,6,5,2,1]=>{{1,8},{2,7},{3,4},{5,6}}=>{{1,2},{3,8},{4,5},{6,7}}=>2
[8,2,3,4,5,7,6,1]=>[2,3,4,5,7,6,1,8]=>{{1,2,3,4,5,7},{6},{8}}=>{{1},{2,3,4,5,6,8},{7}}=>1
[7,4,3,6,5,2,1,8]=>[6,3,2,5,4,1,8,7]=>{{1,6},{2,3},{4,5},{7,8}}=>{{1,8},{2,7},{3,4},{5,6}}=>8
[2,4,1,3,5,6,7,8]=>[1,4,2,5,6,7,8,3]=>{{1},{2,4,5,6,7,8},{3}}=>{{1,3,5,6,7,8},{2},{4}}=>8
[4,1,2,6,3,8,5,7]=>[3,5,1,7,4,8,6,2]=>{{1,3},{2,5},{4,7},{6,8}}=>{{1,7},{2,4},{3,6},{5,8}}=>7
[1,4,2,6,3,8,5,7]=>[3,5,2,7,4,8,6,1]=>{{1,3},{2,5},{4,7},{6,8}}=>{{1,7},{2,4},{3,6},{5,8}}=>7
[4,1,2,7,8,3,5,6]=>[3,6,1,7,8,4,5,2]=>{{1,3},{2,6},{4,7},{5,8}}=>{{1,6},{2,4},{3,7},{5,8}}=>6
[1,4,2,7,8,3,5,6]=>[3,6,2,7,8,4,5,1]=>{{1,3},{2,6},{4,7},{5,8}}=>{{1,6},{2,4},{3,7},{5,8}}=>6
[1,4,2,3,5,6,7,8]=>[3,4,2,5,6,7,8,1]=>{{1,3},{2,4,5,6,7,8}}=>{{1,3,5,6,7,8},{2,4}}=>8
[5,1,6,2,3,8,4,7]=>[4,5,7,1,3,8,6,2]=>{{1,4},{2,5},{3,7},{6,8}}=>{{1,7},{2,5},{3,6},{4,8}}=>7
[5,6,1,2,3,8,4,7]=>[4,5,7,1,2,8,6,3]=>{{1,4},{2,5},{3,7},{6,8}}=>{{1,7},{2,5},{3,6},{4,8}}=>7
[1,5,6,2,3,8,4,7]=>[4,5,7,2,3,8,6,1]=>{{1,4},{2,5},{3,7},{6,8}}=>{{1,7},{2,5},{3,6},{4,8}}=>7
[5,1,7,2,8,3,4,6]=>[4,6,7,1,8,3,5,2]=>{{1,4},{2,6},{3,7},{5,8}}=>{{1,6},{2,5},{3,7},{4,8}}=>6
[5,7,1,2,8,3,4,6]=>[4,6,7,1,8,2,5,3]=>{{1,4},{2,6},{3,7},{5,8}}=>{{1,6},{2,5},{3,7},{4,8}}=>6
[1,5,7,2,8,3,4,6]=>[4,6,7,2,8,3,5,1]=>{{1,4},{2,6},{3,7},{5,8}}=>{{1,6},{2,5},{3,7},{4,8}}=>6
[1,5,2,3,4,6,7,8]=>[3,4,5,2,6,7,8,1]=>{{1,3,5,6,7,8},{2,4}}=>{{1,2,4,6,7,8},{3,5}}=>8
[6,1,7,8,2,3,4,5]=>[5,6,7,8,1,3,4,2]=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,5},{2,6},{3,7},{4,8}}=>5
[6,7,1,8,2,3,4,5]=>[5,6,7,8,1,2,4,3]=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,5},{2,6},{3,7},{4,8}}=>5
[1,6,7,8,2,3,4,5]=>[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
[3,2,7,8,1,4,5,6]=>[2,1,6,7,8,3,4,5]=>{{1,2},{3,6},{4,7},{5,8}}=>{{1,6},{2,3},{4,7},{5,8}}=>6
[4,8,2,7,1,3,5,6]=>[3,6,1,7,8,4,2,5]=>{{1,3},{2,6},{4,7},{5,8}}=>{{1,6},{2,4},{3,7},{5,8}}=>6
[7,4,2,8,1,3,5,6]=>[3,6,2,7,8,1,4,5]=>{{1,3},{2,6},{4,7},{5,8}}=>{{1,6},{2,4},{3,7},{5,8}}=>6
[7,4,3,8,1,2,5,6]=>[6,3,2,7,8,1,4,5]=>{{1,6},{2,3},{4,7},{5,8}}=>{{1,6},{2,7},{3,4},{5,8}}=>6
[8,4,2,7,1,3,5,6]=>[3,6,2,7,8,4,1,5]=>{{1,3},{2,6},{4,7},{5,8}}=>{{1,6},{2,4},{3,7},{5,8}}=>6
[6,5,8,2,4,1,3,7]=>[4,7,5,2,1,8,3,6]=>{{1,4},{2,7},{3,5},{6,8}}=>{{1,7},{2,5},{3,8},{4,6}}=>7
[5,4,3,2,8,1,6,7]=>[4,3,2,1,7,8,5,6]=>{{1,4},{2,3},{5,7},{6,8}}=>{{1,7},{2,5},{3,4},{6,8}}=>7
[4,1,2,8,7,3,5,6]=>[3,6,1,7,8,5,4,2]=>{{1,3},{2,6},{4,7},{5,8}}=>{{1,6},{2,4},{3,7},{5,8}}=>6
[6,1,5,2,3,8,4,7]=>[4,5,7,3,1,8,6,2]=>{{1,4},{2,5},{3,7},{6,8}}=>{{1,7},{2,5},{3,6},{4,8}}=>7
[8,1,5,2,7,3,4,6]=>[4,6,7,3,8,5,1,2]=>{{1,4},{2,6},{3,7},{5,8}}=>{{1,6},{2,5},{3,7},{4,8}}=>6
[7,1,8,6,2,3,4,5]=>[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
[5,8,1,2,7,3,4,6]=>[4,6,7,1,8,5,2,3]=>{{1,4},{2,6},{3,7},{5,8}}=>{{1,6},{2,5},{3,7},{4,8}}=>6
[8,7,1,6,2,3,4,5]=>[5,6,7,8,4,2,1,3]=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,5},{2,6},{3,7},{4,8}}=>5
[8,1,5,3,7,2,6,4]=>[6,4,8,3,7,5,1,2]=>{{1,6},{2,4},{3,8},{5,7}}=>{{1,4},{2,7},{3,5},{6,8}}=>4
[5,1,7,3,8,2,6,4]=>[6,4,8,1,7,3,5,2]=>{{1,6},{2,4},{3,8},{5,7}}=>{{1,4},{2,7},{3,5},{6,8}}=>4
[7,5,8,2,1,3,4,6]=>[4,6,7,2,8,1,3,5]=>{{1,4},{2,6},{3,7},{5,8}}=>{{1,6},{2,5},{3,7},{4,8}}=>6
[7,5,8,2,1,4,6,3]=>[4,8,6,2,7,1,3,5]=>{{1,4},{2,8},{3,6},{5,7}}=>{{1,3},{2,5},{4,7},{6,8}}=>3
[4,5,2,3,7,6,1,8]=>[3,4,1,2,6,5,8,7]=>{{1,3},{2,4},{5,6},{7,8}}=>{{1,8},{2,4},{3,5},{6,7}}=>8
[6,4,3,7,2,5,1,8]=>[5,3,2,6,1,4,8,7]=>{{1,5},{2,3},{4,6},{7,8}}=>{{1,8},{2,6},{3,4},{5,7}}=>8
[8,4,3,6,5,1,2,7]=>[7,3,2,5,4,8,1,6]=>{{1,7},{2,3},{4,5},{6,8}}=>{{1,7},{2,8},{3,4},{5,6}}=>7
[1,5,6,3,4,8,7,2]=>[8,4,5,2,3,7,6,1]=>{{1,8},{2,4},{3,5},{6,7}}=>{{1,2},{3,5},{4,6},{7,8}}=>2
[4,6,2,7,3,5,1,8]=>[3,5,1,6,2,4,8,7]=>{{1,3},{2,5},{4,6},{7,8}}=>{{1,8},{2,4},{3,6},{5,7}}=>8
[3,2,6,7,4,5,1,8]=>[2,1,5,6,3,4,8,7]=>{{1,2},{3,5},{4,6},{7,8}}=>{{1,8},{2,3},{4,6},{5,7}}=>8
[4,7,2,6,5,3,1,8]=>[3,6,1,5,4,2,8,7]=>{{1,3},{2,6},{4,5},{7,8}}=>{{1,8},{2,4},{3,7},{5,6}}=>8
[5,7,6,2,4,3,1,8]=>[4,6,5,1,3,2,8,7]=>{{1,4},{2,6},{3,5},{7,8}}=>{{1,8},{2,5},{3,7},{4,6}}=>8
[1,7,5,4,8,3,6,2]=>[8,6,4,3,7,2,5,1]=>{{1,8},{2,6},{3,4},{5,7}}=>{{1,2},{3,7},{4,5},{6,8}}=>2
[8,7,5,4,1,3,2,6]=>[7,6,4,3,8,2,1,5]=>{{1,7},{2,6},{3,4},{5,8}}=>{{1,6},{2,8},{3,7},{4,5}}=>6
[6,8,5,4,2,1,3,7]=>[5,7,4,3,1,8,2,6]=>{{1,5},{2,7},{3,4},{6,8}}=>{{1,7},{2,6},{3,8},{4,5}}=>7
[5,8,6,2,4,1,3,7]=>[4,7,5,1,3,8,2,6]=>{{1,4},{2,7},{3,5},{6,8}}=>{{1,7},{2,5},{3,8},{4,6}}=>7
[4,8,2,6,5,1,3,7]=>[3,7,1,5,4,8,2,6]=>{{1,3},{2,7},{4,5},{6,8}}=>{{1,7},{2,4},{3,8},{5,6}}=>7
[3,2,8,6,5,1,4,7]=>[2,1,7,5,4,8,3,6]=>{{1,2},{3,7},{4,5},{6,8}}=>{{1,7},{2,3},{4,8},{5,6}}=>7
[4,1,2,6,5,8,7,3]=>[3,8,1,5,4,7,6,2]=>{{1,3},{2,8},{4,5},{6,7}}=>{{1,3},{2,4},{5,6},{7,8}}=>3
[5,1,6,2,4,8,7,3]=>[4,8,5,1,3,7,6,2]=>{{1,4},{2,8},{3,5},{6,7}}=>{{1,3},{2,5},{4,6},{7,8}}=>3
[6,1,5,4,2,8,7,3]=>[5,8,4,3,1,7,6,2]=>{{1,5},{2,8},{3,4},{6,7}}=>{{1,3},{2,6},{4,5},{7,8}}=>3
[7,1,5,4,8,2,6,3]=>[6,8,4,3,7,1,5,2]=>{{1,6},{2,8},{3,4},{5,7}}=>{{1,3},{2,7},{4,5},{6,8}}=>3
[8,1,5,4,7,6,2,3]=>[7,8,4,3,6,5,1,2]=>{{1,7},{2,8},{3,4},{5,6}}=>{{1,3},{2,8},{4,5},{6,7}}=>3
[1,8,6,7,4,5,3,2]=>[8,7,5,6,3,4,2,1]=>{{1,8},{2,7},{3,5},{4,6}}=>{{1,2},{3,8},{4,6},{5,7}}=>2
[8,1,6,7,4,5,2,3]=>[7,8,5,6,3,4,1,2]=>{{1,7},{2,8},{3,5},{4,6}}=>{{1,3},{2,8},{4,6},{5,7}}=>3
[7,1,6,8,4,2,5,3]=>[6,8,5,7,3,1,4,2]=>{{1,6},{2,8},{3,5},{4,7}}=>{{1,3},{2,7},{4,6},{5,8}}=>3
[6,1,7,8,2,4,5,3]=>[5,8,6,7,1,3,4,2]=>{{1,5},{2,8},{3,6},{4,7}}=>{{1,3},{2,6},{4,7},{5,8}}=>3
[5,1,7,2,8,4,6,3]=>[4,8,6,1,7,3,5,2]=>{{1,4},{2,8},{3,6},{5,7}}=>{{1,3},{2,5},{4,7},{6,8}}=>3
[4,1,2,7,8,5,6,3]=>[3,8,1,6,7,4,5,2]=>{{1,3},{2,8},{4,6},{5,7}}=>{{1,3},{2,4},{5,7},{6,8}}=>3
[3,2,1,7,8,5,6,4]=>[2,1,8,6,7,4,5,3]=>{{1,2},{3,8},{4,6},{5,7}}=>{{1,4},{2,3},{5,7},{6,8}}=>4
[3,2,8,7,1,5,4,6]=>[2,1,7,6,8,4,3,5]=>{{1,2},{3,7},{4,6},{5,8}}=>{{1,6},{2,3},{4,8},{5,7}}=>6
[4,8,2,7,1,5,3,6]=>[3,7,1,6,8,4,2,5]=>{{1,3},{2,7},{4,6},{5,8}}=>{{1,6},{2,4},{3,8},{5,7}}=>6
[5,8,7,2,1,4,3,6]=>[4,7,6,1,8,3,2,5]=>{{1,4},{2,7},{3,6},{5,8}}=>{{1,6},{2,5},{3,8},{4,7}}=>6
[6,8,7,1,2,4,3,5]=>[5,7,6,8,1,3,2,4]=>{{1,5},{2,7},{3,6},{4,8}}=>{{1,5},{2,6},{3,8},{4,7}}=>5
[7,8,6,1,4,2,3,5]=>[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
[8,7,6,1,4,3,2,5]=>[7,6,5,8,3,2,1,4]=>{{1,7},{2,6},{3,5},{4,8}}=>{{1,5},{2,8},{3,7},{4,6}}=>5
[1,7,6,8,4,3,5,2]=>[8,6,5,7,3,2,4,1]=>{{1,8},{2,6},{3,5},{4,7}}=>{{1,2},{3,7},{4,6},{5,8}}=>2
[1,6,7,8,3,4,5,2]=>[8,5,6,7,2,3,4,1]=>{{1,8},{2,5},{3,6},{4,7}}=>{{1,2},{3,6},{4,7},{5,8}}=>2
[8,6,7,1,3,4,2,5]=>[7,5,6,8,2,3,1,4]=>{{1,7},{2,5},{3,6},{4,8}}=>{{1,5},{2,8},{3,6},{4,7}}=>5
[7,6,8,1,3,2,4,5]=>[6,5,7,8,2,1,3,4]=>{{1,6},{2,5},{3,7},{4,8}}=>{{1,5},{2,7},{3,6},{4,8}}=>5
[5,7,8,2,1,3,4,6]=>[4,6,7,1,8,2,3,5]=>{{1,4},{2,6},{3,7},{5,8}}=>{{1,6},{2,5},{3,7},{4,8}}=>6
[4,7,2,8,1,3,5,6]=>[3,6,1,7,8,2,4,5]=>{{1,3},{2,6},{4,7},{5,8}}=>{{1,6},{2,4},{3,7},{5,8}}=>6
[3,2,6,8,4,1,5,7]=>[2,1,5,7,3,8,4,6]=>{{1,2},{3,5},{4,7},{6,8}}=>{{1,7},{2,3},{4,6},{5,8}}=>7
[4,6,2,8,3,1,5,7]=>[3,5,1,7,2,8,4,6]=>{{1,3},{2,5},{4,7},{6,8}}=>{{1,7},{2,4},{3,6},{5,8}}=>7
[5,6,8,2,3,1,4,7]=>[4,5,7,1,2,8,3,6]=>{{1,4},{2,5},{3,7},{6,8}}=>{{1,7},{2,5},{3,6},{4,8}}=>7
[6,5,8,3,2,1,4,7]=>[5,4,7,2,1,8,3,6]=>{{1,5},{2,4},{3,7},{6,8}}=>{{1,7},{2,6},{3,5},{4,8}}=>7
[7,5,8,3,1,2,4,6]=>[6,4,7,2,8,1,3,5]=>{{1,6},{2,4},{3,7},{5,8}}=>{{1,6},{2,7},{3,5},{4,8}}=>6
[8,5,7,3,1,4,2,6]=>[7,4,6,2,8,3,1,5]=>{{1,7},{2,4},{3,6},{5,8}}=>{{1,6},{2,8},{3,5},{4,7}}=>6
[1,5,7,3,8,4,6,2]=>[8,4,6,2,7,3,5,1]=>{{1,8},{2,4},{3,6},{5,7}}=>{{1,2},{3,5},{4,7},{6,8}}=>2
[1,4,3,7,8,5,6,2]=>[8,3,2,6,7,4,5,1]=>{{1,8},{2,3},{4,6},{5,7}}=>{{1,2},{3,4},{5,7},{6,8}}=>2
[8,4,3,7,1,5,2,6]=>[7,3,2,6,8,4,1,5]=>{{1,7},{2,3},{4,6},{5,8}}=>{{1,6},{2,8},{3,4},{5,7}}=>6
[6,4,3,8,2,1,5,7]=>[5,3,2,7,1,8,4,6]=>{{1,5},{2,3},{4,7},{6,8}}=>{{1,7},{2,6},{3,4},{5,8}}=>7
[4,5,2,3,8,1,6,7]=>[3,4,1,2,7,8,5,6]=>{{1,3},{2,4},{5,7},{6,8}}=>{{1,7},{2,4},{3,5},{6,8}}=>7
[3,2,5,4,8,1,6,7]=>[2,1,4,3,7,8,5,6]=>{{1,2},{3,4},{5,7},{6,8}}=>{{1,7},{2,3},{4,5},{6,8}}=>7
[4,5,2,3,1,8,7,6]=>[3,4,1,2,8,7,6,5]=>{{1,3},{2,4},{5,8},{6,7}}=>{{1,6},{2,4},{3,5},{7,8}}=>6
[6,4,3,1,2,8,7,5]=>[5,3,2,8,1,7,6,4]=>{{1,5},{2,3},{4,8},{6,7}}=>{{1,5},{2,6},{3,4},{7,8}}=>5
[7,4,3,1,8,2,6,5]=>[6,3,2,8,7,1,5,4]=>{{1,6},{2,3},{4,8},{5,7}}=>{{1,5},{2,7},{3,4},{6,8}}=>5
[8,4,3,1,7,6,2,5]=>[7,3,2,8,6,5,1,4]=>{{1,7},{2,3},{4,8},{5,6}}=>{{1,5},{2,8},{3,4},{6,7}}=>5
[1,5,8,3,7,6,4,2]=>[8,4,7,2,6,5,3,1]=>{{1,8},{2,4},{3,7},{5,6}}=>{{1,2},{3,5},{4,8},{6,7}}=>2
[8,5,1,3,7,6,2,4]=>[7,4,8,2,6,5,1,3]=>{{1,7},{2,4},{3,8},{5,6}}=>{{1,4},{2,8},{3,5},{6,7}}=>4
[7,5,1,3,8,2,6,4]=>[6,4,8,2,7,1,5,3]=>{{1,6},{2,4},{3,8},{5,7}}=>{{1,4},{2,7},{3,5},{6,8}}=>4
[6,5,1,3,2,8,7,4]=>[5,4,8,2,1,7,6,3]=>{{1,5},{2,4},{3,8},{6,7}}=>{{1,4},{2,6},{3,5},{7,8}}=>4
[5,6,1,2,3,8,7,4]=>[4,5,8,1,2,7,6,3]=>{{1,4},{2,5},{3,8},{6,7}}=>{{1,4},{2,5},{3,6},{7,8}}=>4
[4,6,2,1,3,8,7,5]=>[3,5,1,8,2,7,6,4]=>{{1,3},{2,5},{4,8},{6,7}}=>{{1,5},{2,4},{3,6},{7,8}}=>5
[3,2,6,1,4,8,7,5]=>[2,1,5,8,3,7,6,4]=>{{1,2},{3,5},{4,8},{6,7}}=>{{1,5},{2,3},{4,6},{7,8}}=>5
[3,2,7,1,8,4,6,5]=>[2,1,6,8,7,3,5,4]=>{{1,2},{3,6},{4,8},{5,7}}=>{{1,5},{2,3},{4,7},{6,8}}=>5
[4,7,2,1,8,3,6,5]=>[3,6,1,8,7,2,5,4]=>{{1,3},{2,6},{4,8},{5,7}}=>{{1,5},{2,4},{3,7},{6,8}}=>5
[5,7,1,2,8,3,6,4]=>[4,6,8,1,7,2,5,3]=>{{1,4},{2,6},{3,8},{5,7}}=>{{1,4},{2,5},{3,7},{6,8}}=>4
[6,7,1,8,2,3,5,4]=>[5,6,8,7,1,2,4,3]=>{{1,5},{2,6},{3,8},{4,7}}=>{{1,4},{2,6},{3,7},{5,8}}=>4
[7,6,1,8,3,2,5,4]=>[6,5,8,7,2,1,4,3]=>{{1,6},{2,5},{3,8},{4,7}}=>{{1,4},{2,7},{3,6},{5,8}}=>4
[8,6,1,7,3,5,2,4]=>[7,5,8,6,2,4,1,3]=>{{1,7},{2,5},{3,8},{4,6}}=>{{1,4},{2,8},{3,6},{5,7}}=>4
[1,6,8,7,3,5,4,2]=>[8,5,7,6,2,4,3,1]=>{{1,8},{2,5},{3,7},{4,6}}=>{{1,2},{3,6},{4,8},{5,7}}=>2
[1,7,8,6,5,3,4,2]=>[8,6,7,5,4,2,3,1]=>{{1,8},{2,6},{3,7},{4,5}}=>{{1,2},{3,7},{4,8},{5,6}}=>2
[8,7,1,6,5,3,2,4]=>[7,6,8,5,4,2,1,3]=>{{1,7},{2,6},{3,8},{4,5}}=>{{1,4},{2,8},{3,7},{5,6}}=>4
[7,8,1,6,5,2,3,4]=>[6,7,8,5,4,1,2,3]=>{{1,6},{2,7},{3,8},{4,5}}=>{{1,4},{2,7},{3,8},{5,6}}=>4
[6,8,1,7,2,5,3,4]=>[5,7,8,6,1,4,2,3]=>{{1,5},{2,7},{3,8},{4,6}}=>{{1,4},{2,6},{3,8},{5,7}}=>4
[5,8,1,2,7,6,3,4]=>[4,7,8,1,6,5,2,3]=>{{1,4},{2,7},{3,8},{5,6}}=>{{1,4},{2,5},{3,8},{6,7}}=>4
[4,8,2,1,7,6,3,5]=>[3,7,1,8,6,5,2,4]=>{{1,3},{2,7},{4,8},{5,6}}=>{{1,5},{2,4},{3,8},{6,7}}=>5
[3,2,8,1,7,6,4,5]=>[2,1,7,8,6,5,3,4]=>{{1,2},{3,7},{4,8},{5,6}}=>{{1,5},{2,3},{4,8},{6,7}}=>5
[4,1,2,8,7,6,5,3]=>[3,8,1,7,6,5,4,2]=>{{1,3},{2,8},{4,7},{5,6}}=>{{1,3},{2,4},{5,8},{6,7}}=>3
[5,1,8,2,7,6,4,3]=>[4,8,7,1,6,5,3,2]=>{{1,4},{2,8},{3,7},{5,6}}=>{{1,3},{2,5},{4,8},{6,7}}=>3
[6,1,8,7,2,5,4,3]=>[5,8,7,6,1,4,3,2]=>{{1,5},{2,8},{3,7},{4,6}}=>{{1,3},{2,6},{4,8},{5,7}}=>3
[7,1,8,6,5,2,4,3]=>[6,8,7,5,4,1,3,2]=>{{1,6},{2,8},{3,7},{4,5}}=>{{1,3},{2,7},{4,8},{5,6}}=>3
[8,1,7,6,5,4,2,3]=>[7,8,6,5,4,3,1,2]=>{{1,7},{2,8},{3,6},{4,5}}=>{{1,3},{2,8},{4,7},{5,6}}=>3
[7,5,1,2,8,3,6,4]=>[4,6,8,2,7,1,5,3]=>{{1,4},{2,6},{3,8},{5,7}}=>{{1,4},{2,5},{3,7},{6,8}}=>4
[8,1,6,7,2,4,5,3]=>[5,8,6,7,3,4,1,2]=>{{1,5},{2,8},{3,6},{4,7}}=>{{1,3},{2,6},{4,7},{5,8}}=>3
[7,6,1,8,2,3,5,4]=>[5,6,8,7,2,1,4,3]=>{{1,5},{2,6},{3,8},{4,7}}=>{{1,4},{2,6},{3,7},{5,8}}=>4
[6,8,7,1,2,3,4,5]=>[5,6,7,8,1,3,2,4]=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,5},{2,6},{3,7},{4,8}}=>5
[8,1,6,7,5,4,3,2]=>[8,7,6,5,3,4,1,2]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,2},{3,8},{4,7},{5,6}}=>2
[8,5,7,4,1,6,3,2]=>[8,7,4,2,6,3,1,5]=>{{1,8},{2,7},{3,4},{5,6}}=>{{1,2},{3,8},{4,5},{6,7}}=>2
[6,4,3,8,2,1,7,5]=>[5,3,2,8,1,7,4,6]=>{{1,5},{2,3},{4,8},{6,7}}=>{{1,5},{2,6},{3,4},{7,8}}=>5
[5,1,7,4,8,6,3,2]=>[8,7,4,1,6,3,5,2]=>{{1,8},{2,7},{3,4},{5,6}}=>{{1,2},{3,8},{4,5},{6,7}}=>2
[5,7,1,4,8,6,2,3]=>[7,8,4,1,6,2,5,3]=>{{1,7},{2,8},{3,4},{5,6}}=>{{1,3},{2,8},{4,5},{6,7}}=>3
[6,8,1,7,5,4,3,2]=>[8,7,6,5,1,4,2,3]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,2},{3,8},{4,7},{5,6}}=>2
[7,1,8,6,5,4,3,2]=>[8,7,6,5,4,1,3,2]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,2},{3,8},{4,7},{5,6}}=>2
[5,4,2,3,7,6,1,8]=>[3,4,2,1,6,5,8,7]=>{{1,3},{2,4},{5,6},{7,8}}=>{{1,8},{2,4},{3,5},{6,7}}=>8
[6,4,2,7,3,5,1,8]=>[3,5,2,6,1,4,8,7]=>{{1,3},{2,5},{4,6},{7,8}}=>{{1,8},{2,4},{3,6},{5,7}}=>8
[7,4,2,6,3,5,1,8]=>[3,5,2,6,4,1,8,7]=>{{1,3},{2,5},{4,6},{7,8}}=>{{1,8},{2,4},{3,6},{5,7}}=>8
[8,4,2,6,3,1,5,7]=>[3,5,2,7,4,8,1,6]=>{{1,3},{2,5},{4,7},{6,8}}=>{{1,7},{2,4},{3,6},{5,8}}=>7
[3,2,7,6,4,5,1,8]=>[2,1,5,6,4,3,8,7]=>{{1,2},{3,5},{4,6},{7,8}}=>{{1,8},{2,3},{4,6},{5,7}}=>8
[4,7,2,6,3,5,1,8]=>[3,5,1,6,4,2,8,7]=>{{1,3},{2,5},{4,6},{7,8}}=>{{1,8},{2,4},{3,6},{5,7}}=>8
[5,7,6,2,3,4,1,8]=>[4,5,6,1,3,2,8,7]=>{{1,4},{2,5},{3,6},{7,8}}=>{{1,8},{2,5},{3,6},{4,7}}=>8
[1,6,5,2,3,8,4,7]=>[4,5,7,3,2,8,6,1]=>{{1,4},{2,5},{3,7},{6,8}}=>{{1,7},{2,5},{3,6},{4,8}}=>7
[1,7,5,2,8,3,4,6]=>[4,6,7,3,8,2,5,1]=>{{1,4},{2,6},{3,7},{5,8}}=>{{1,6},{2,5},{3,7},{4,8}}=>6
[5,8,6,2,3,1,4,7]=>[4,5,7,1,3,8,2,6]=>{{1,4},{2,5},{3,7},{6,8}}=>{{1,7},{2,5},{3,6},{4,8}}=>7
[4,8,2,6,3,1,5,7]=>[3,5,1,7,4,8,2,6]=>{{1,3},{2,5},{4,7},{6,8}}=>{{1,7},{2,4},{3,6},{5,8}}=>7
[3,2,8,6,4,1,5,7]=>[2,1,5,7,4,8,3,6]=>{{1,2},{3,5},{4,7},{6,8}}=>{{1,7},{2,3},{4,6},{5,8}}=>7
[3,2,1,6,4,8,5,7]=>[2,1,5,7,4,8,6,3]=>{{1,2},{3,5},{4,7},{6,8}}=>{{1,7},{2,3},{4,6},{5,8}}=>7
[7,1,5,2,8,3,4,6]=>[4,6,7,3,8,1,5,2]=>{{1,4},{2,6},{3,7},{5,8}}=>{{1,6},{2,5},{3,7},{4,8}}=>6
[1,8,5,2,7,3,4,6]=>[4,6,7,3,8,5,2,1]=>{{1,4},{2,6},{3,7},{5,8}}=>{{1,6},{2,5},{3,7},{4,8}}=>6
[1,8,6,7,2,3,4,5]=>[5,6,7,8,3,4,2,1]=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,5},{2,6},{3,7},{4,8}}=>5
[8,1,6,7,2,3,4,5]=>[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
[7,1,6,8,2,3,4,5]=>[5,6,7,8,3,1,4,2]=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,5},{2,6},{3,7},{4,8}}=>5
[3,2,1,7,8,4,5,6]=>[2,1,6,7,8,4,5,3]=>{{1,2},{3,6},{4,7},{5,8}}=>{{1,6},{2,3},{4,7},{5,8}}=>6
[3,2,8,7,1,4,5,6]=>[2,1,6,7,8,4,3,5]=>{{1,2},{3,6},{4,7},{5,8}}=>{{1,6},{2,3},{4,7},{5,8}}=>6
[5,8,7,2,1,3,4,6]=>[4,6,7,1,8,3,2,5]=>{{1,4},{2,6},{3,7},{5,8}}=>{{1,6},{2,5},{3,7},{4,8}}=>6
[1,7,6,8,2,3,4,5]=>[5,6,7,8,3,2,4,1]=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,5},{2,6},{3,7},{4,8}}=>5
[6,4,2,8,3,1,5,7]=>[3,5,2,7,1,8,4,6]=>{{1,3},{2,5},{4,7},{6,8}}=>{{1,7},{2,4},{3,6},{5,8}}=>7
[5,4,2,3,8,1,6,7]=>[3,4,2,1,7,8,5,6]=>{{1,3},{2,4},{5,7},{6,8}}=>{{1,7},{2,4},{3,5},{6,8}}=>7
[3,2,5,4,1,8,6,7]=>[2,1,4,3,7,8,6,5]=>{{1,2},{3,4},{5,7},{6,8}}=>{{1,7},{2,3},{4,5},{6,8}}=>7
[4,5,2,3,1,8,6,7]=>[3,4,1,2,7,8,6,5]=>{{1,3},{2,4},{5,7},{6,8}}=>{{1,7},{2,4},{3,5},{6,8}}=>7
[5,4,2,3,1,8,6,7]=>[3,4,2,1,7,8,6,5]=>{{1,3},{2,4},{5,7},{6,8}}=>{{1,7},{2,4},{3,5},{6,8}}=>7
[6,4,2,1,3,8,5,7]=>[3,5,2,7,1,8,6,4]=>{{1,3},{2,5},{4,7},{6,8}}=>{{1,7},{2,4},{3,6},{5,8}}=>7
[7,4,2,1,8,3,5,6]=>[3,6,2,7,8,1,5,4]=>{{1,3},{2,6},{4,7},{5,8}}=>{{1,6},{2,4},{3,7},{5,8}}=>6
[8,4,2,1,7,3,5,6]=>[3,6,2,7,8,5,1,4]=>{{1,3},{2,6},{4,7},{5,8}}=>{{1,6},{2,4},{3,7},{5,8}}=>6
[1,4,2,8,7,3,5,6]=>[3,6,2,7,8,5,4,1]=>{{1,3},{2,6},{4,7},{5,8}}=>{{1,6},{2,4},{3,7},{5,8}}=>6
[1,5,8,2,7,3,4,6]=>[4,6,7,2,8,5,3,1]=>{{1,4},{2,6},{3,7},{5,8}}=>{{1,6},{2,5},{3,7},{4,8}}=>6
[8,5,1,2,7,3,4,6]=>[4,6,7,2,8,5,1,3]=>{{1,4},{2,6},{3,7},{5,8}}=>{{1,6},{2,5},{3,7},{4,8}}=>6
[7,5,1,2,8,3,4,6]=>[4,6,7,2,8,1,5,3]=>{{1,4},{2,6},{3,7},{5,8}}=>{{1,6},{2,5},{3,7},{4,8}}=>6
[6,5,1,2,3,8,4,7]=>[4,5,7,2,1,8,6,3]=>{{1,4},{2,5},{3,7},{6,8}}=>{{1,7},{2,5},{3,6},{4,8}}=>7
[4,6,2,1,3,8,5,7]=>[3,5,1,7,2,8,6,4]=>{{1,3},{2,5},{4,7},{6,8}}=>{{1,7},{2,4},{3,6},{5,8}}=>7
[3,2,6,1,4,8,5,7]=>[2,1,5,7,3,8,6,4]=>{{1,2},{3,5},{4,7},{6,8}}=>{{1,7},{2,3},{4,6},{5,8}}=>7
[3,2,7,1,8,4,5,6]=>[2,1,6,7,8,3,5,4]=>{{1,2},{3,6},{4,7},{5,8}}=>{{1,6},{2,3},{4,7},{5,8}}=>6
[7,6,1,8,2,3,4,5]=>[5,6,7,8,2,1,4,3]=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,5},{2,6},{3,7},{4,8}}=>5
[8,6,1,7,2,3,4,5]=>[5,6,7,8,2,4,1,3]=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,5},{2,6},{3,7},{4,8}}=>5
[1,6,8,7,2,3,4,5]=>[5,6,7,8,2,4,3,1]=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,5},{2,6},{3,7},{4,8}}=>5
[1,7,8,6,2,3,4,5]=>[5,6,7,8,4,2,3,1]=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,5},{2,6},{3,7},{4,8}}=>5
[7,8,1,6,2,3,4,5]=>[5,6,7,8,4,1,2,3]=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,5},{2,6},{3,7},{4,8}}=>5
[6,8,1,7,2,3,4,5]=>[5,6,7,8,1,4,2,3]=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,5},{2,6},{3,7},{4,8}}=>5
[4,8,2,1,7,3,5,6]=>[3,6,1,7,8,5,2,4]=>{{1,3},{2,6},{4,7},{5,8}}=>{{1,6},{2,4},{3,7},{5,8}}=>6
[3,2,8,1,7,4,5,6]=>[2,1,6,7,8,5,3,4]=>{{1,2},{3,6},{4,7},{5,8}}=>{{1,6},{2,3},{4,7},{5,8}}=>6
[3,2,1,8,7,4,5,6]=>[2,1,6,7,8,5,4,3]=>{{1,2},{3,6},{4,7},{5,8}}=>{{1,6},{2,3},{4,7},{5,8}}=>6
[5,1,8,2,7,3,4,6]=>[4,6,7,1,8,5,3,2]=>{{1,4},{2,6},{3,7},{5,8}}=>{{1,6},{2,5},{3,7},{4,8}}=>6
[6,1,8,7,2,3,4,5]=>[5,6,7,8,1,4,3,2]=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,5},{2,6},{3,7},{4,8}}=>5
[8,1,7,6,2,3,4,5]=>[5,6,7,8,4,3,1,2]=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,5},{2,6},{3,7},{4,8}}=>5
[1,8,7,6,2,3,4,5]=>[5,6,7,8,4,3,2,1]=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,5},{2,6},{3,7},{4,8}}=>5
[5,1,7,3,8,4,6,2]=>[8,4,6,1,7,3,5,2]=>{{1,8},{2,4},{3,6},{5,7}}=>{{1,2},{3,5},{4,7},{6,8}}=>2
[4,7,2,8,1,5,3,6]=>[3,7,1,6,8,2,4,5]=>{{1,3},{2,7},{4,6},{5,8}}=>{{1,6},{2,4},{3,8},{5,7}}=>6
[5,6,8,2,3,1,7,4]=>[4,5,8,1,2,7,3,6]=>{{1,4},{2,5},{3,8},{6,7}}=>{{1,4},{2,5},{3,6},{7,8}}=>4
[7,8,1,6,5,4,3,2]=>[8,7,6,5,4,1,2,3]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,2},{3,8},{4,7},{5,6}}=>2
[8,6,1,7,5,2,3,4]=>[6,7,8,5,2,4,1,3]=>{{1,6},{2,7},{3,8},{4,5}}=>{{1,4},{2,7},{3,8},{5,6}}=>4
[7,5,1,4,8,6,3,2]=>[8,7,4,2,6,1,5,3]=>{{1,8},{2,7},{3,4},{5,6}}=>{{1,2},{3,8},{4,5},{6,7}}=>2
[8,1,6,7,3,2,5,4]=>[6,5,8,7,3,4,1,2]=>{{1,6},{2,5},{3,8},{4,7}}=>{{1,4},{2,7},{3,6},{5,8}}=>4
[8,1,6,7,3,2,4,5]=>[6,5,7,8,3,4,1,2]=>{{1,6},{2,5},{3,7},{4,8}}=>{{1,5},{2,7},{3,6},{4,8}}=>5
[8,1,5,3,7,2,4,6]=>[6,4,7,3,8,5,1,2]=>{{1,6},{2,4},{3,7},{5,8}}=>{{1,6},{2,7},{3,5},{4,8}}=>6
[5,4,3,2,1,8,6,7]=>[4,3,2,1,7,8,6,5]=>{{1,4},{2,3},{5,7},{6,8}}=>{{1,7},{2,5},{3,4},{6,8}}=>7
[7,5,1,4,8,6,2,3]=>[7,8,4,2,6,1,5,3]=>{{1,7},{2,8},{3,4},{5,6}}=>{{1,3},{2,8},{4,5},{6,7}}=>3
[6,4,3,1,2,8,5,7]=>[5,3,2,7,1,8,6,4]=>{{1,5},{2,3},{4,7},{6,8}}=>{{1,7},{2,6},{3,4},{5,8}}=>7
[7,5,1,3,8,2,4,6]=>[6,4,7,2,8,1,5,3]=>{{1,6},{2,4},{3,7},{5,8}}=>{{1,6},{2,7},{3,5},{4,8}}=>6
[7,6,1,8,3,2,4,5]=>[6,5,7,8,2,1,4,3]=>{{1,6},{2,5},{3,7},{4,8}}=>{{1,5},{2,7},{3,6},{4,8}}=>5
[7,6,1,8,4,5,2,3]=>[7,8,5,6,2,1,4,3]=>{{1,7},{2,8},{3,5},{4,6}}=>{{1,3},{2,8},{4,6},{5,7}}=>3
[7,6,8,1,4,5,2,3]=>[7,8,5,6,2,1,3,4]=>{{1,7},{2,8},{3,5},{4,6}}=>{{1,3},{2,8},{4,6},{5,7}}=>3
[7,6,8,1,3,2,5,4]=>[6,5,8,7,2,1,3,4]=>{{1,6},{2,5},{3,8},{4,7}}=>{{1,4},{2,7},{3,6},{5,8}}=>4
[7,5,8,3,1,2,6,4]=>[6,4,8,2,7,1,3,5]=>{{1,6},{2,4},{3,8},{5,7}}=>{{1,4},{2,7},{3,5},{6,8}}=>4
[7,5,8,4,1,6,2,3]=>[7,8,4,2,6,1,3,5]=>{{1,7},{2,8},{3,4},{5,6}}=>{{1,3},{2,8},{4,5},{6,7}}=>3
[5,4,3,2,8,1,7,6]=>[4,3,2,1,8,7,5,6]=>{{1,4},{2,3},{5,8},{6,7}}=>{{1,6},{2,5},{3,4},{7,8}}=>6
[4,7,2,8,1,3,6,5]=>[3,6,1,8,7,2,4,5]=>{{1,3},{2,6},{4,8},{5,7}}=>{{1,5},{2,4},{3,7},{6,8}}=>5
[4,6,3,7,2,5,1,8]=>[5,3,1,6,2,4,8,7]=>{{1,5},{2,3},{4,6},{7,8}}=>{{1,8},{2,6},{3,4},{5,7}}=>8
[4,6,3,7,5,2,1,8]=>[6,3,1,5,2,4,8,7]=>{{1,6},{2,3},{4,5},{7,8}}=>{{1,8},{2,7},{3,4},{5,6}}=>8
[4,6,3,8,5,1,7,2]=>[8,3,1,5,2,7,4,6]=>{{1,8},{2,3},{4,5},{6,7}}=>{{1,2},{3,4},{5,6},{7,8}}=>2
[4,6,3,8,5,1,2,7]=>[7,3,1,5,2,8,4,6]=>{{1,7},{2,3},{4,5},{6,8}}=>{{1,7},{2,8},{3,4},{5,6}}=>7
[5,6,8,3,4,1,2,7]=>[7,4,5,1,2,8,3,6]=>{{1,7},{2,4},{3,5},{6,8}}=>{{1,7},{2,8},{3,5},{4,6}}=>7
[5,6,8,3,4,1,7,2]=>[8,4,5,1,2,7,3,6]=>{{1,8},{2,4},{3,5},{6,7}}=>{{1,2},{3,5},{4,6},{7,8}}=>2
[4,6,2,7,5,3,1,8]=>[3,6,1,5,2,4,8,7]=>{{1,3},{2,6},{4,5},{7,8}}=>{{1,8},{2,4},{3,7},{5,6}}=>8
[5,6,7,2,4,3,1,8]=>[4,6,5,1,2,3,8,7]=>{{1,4},{2,6},{3,5},{7,8}}=>{{1,8},{2,5},{3,7},{4,6}}=>8
[5,6,8,4,3,1,7,2]=>[8,5,4,1,2,7,3,6]=>{{1,8},{2,5},{3,4},{6,7}}=>{{1,2},{3,6},{4,5},{7,8}}=>2
[5,6,8,4,3,1,2,7]=>[7,5,4,1,2,8,3,6]=>{{1,7},{2,5},{3,4},{6,8}}=>{{1,7},{2,8},{3,6},{4,5}}=>7
[5,7,8,4,1,6,2,3]=>[7,8,4,1,6,2,3,5]=>{{1,7},{2,8},{3,4},{5,6}}=>{{1,3},{2,8},{4,5},{6,7}}=>3
[5,7,8,4,1,6,3,2]=>[8,7,4,1,6,2,3,5]=>{{1,8},{2,7},{3,4},{5,6}}=>{{1,2},{3,8},{4,5},{6,7}}=>2
[5,7,8,4,1,3,6,2]=>[8,6,4,1,7,2,3,5]=>{{1,8},{2,6},{3,4},{5,7}}=>{{1,2},{3,7},{4,5},{6,8}}=>2
[5,6,8,4,2,1,7,3]=>[5,8,4,1,2,7,3,6]=>{{1,5},{2,8},{3,4},{6,7}}=>{{1,3},{2,6},{4,5},{7,8}}=>3
[5,6,8,2,4,1,7,3]=>[4,8,5,1,2,7,3,6]=>{{1,4},{2,8},{3,5},{6,7}}=>{{1,3},{2,5},{4,6},{7,8}}=>3
[4,6,2,8,5,1,7,3]=>[3,8,1,5,2,7,4,6]=>{{1,3},{2,8},{4,5},{6,7}}=>{{1,3},{2,4},{5,6},{7,8}}=>3
[3,2,6,8,5,1,7,4]=>[2,1,8,5,3,7,4,6]=>{{1,2},{3,8},{4,5},{6,7}}=>{{1,4},{2,3},{5,6},{7,8}}=>4
[3,2,6,8,5,1,4,7]=>[2,1,7,5,3,8,4,6]=>{{1,2},{3,7},{4,5},{6,8}}=>{{1,7},{2,3},{4,8},{5,6}}=>7
[4,6,2,8,5,1,3,7]=>[3,7,1,5,2,8,4,6]=>{{1,3},{2,7},{4,5},{6,8}}=>{{1,7},{2,4},{3,8},{5,6}}=>7
[5,6,8,2,4,1,3,7]=>[4,7,5,1,2,8,3,6]=>{{1,4},{2,7},{3,5},{6,8}}=>{{1,7},{2,5},{3,8},{4,6}}=>7
[5,6,8,4,2,1,3,7]=>[5,7,4,1,2,8,3,6]=>{{1,5},{2,7},{3,4},{6,8}}=>{{1,7},{2,6},{3,8},{4,5}}=>7
[5,7,8,4,1,3,2,6]=>[7,6,4,1,8,2,3,5]=>{{1,7},{2,6},{3,4},{5,8}}=>{{1,6},{2,8},{3,7},{4,5}}=>6
[5,7,8,4,1,2,6,3]=>[6,8,4,1,7,2,3,5]=>{{1,6},{2,8},{3,4},{5,7}}=>{{1,3},{2,7},{4,5},{6,8}}=>3
[5,7,8,4,1,2,3,6]=>[6,7,4,1,8,2,3,5]=>{{1,6},{2,7},{3,4},{5,8}}=>{{1,6},{2,7},{3,8},{4,5}}=>6
[6,7,8,1,5,2,3,4]=>[6,7,8,5,1,2,3,4]=>{{1,6},{2,7},{3,8},{4,5}}=>{{1,4},{2,7},{3,8},{5,6}}=>4
[6,7,8,1,5,2,4,3]=>[6,8,7,5,1,2,3,4]=>{{1,6},{2,8},{3,7},{4,5}}=>{{1,3},{2,7},{4,8},{5,6}}=>3
[6,7,8,1,5,3,2,4]=>[7,6,8,5,1,2,3,4]=>{{1,7},{2,6},{3,8},{4,5}}=>{{1,4},{2,8},{3,7},{5,6}}=>4
[6,7,8,1,3,5,2,4]=>[7,5,8,6,1,2,3,4]=>{{1,7},{2,5},{3,8},{4,6}}=>{{1,4},{2,8},{3,6},{5,7}}=>4
[5,7,8,2,1,6,3,4]=>[4,7,8,1,6,2,3,5]=>{{1,4},{2,7},{3,8},{5,6}}=>{{1,4},{2,5},{3,8},{6,7}}=>4
[4,7,2,8,1,6,3,5]=>[3,7,1,8,6,2,4,5]=>{{1,3},{2,7},{4,8},{5,6}}=>{{1,5},{2,4},{3,8},{6,7}}=>5
[3,2,7,8,1,6,4,5]=>[2,1,7,8,6,3,4,5]=>{{1,2},{3,7},{4,8},{5,6}}=>{{1,5},{2,3},{4,8},{6,7}}=>5
[3,2,7,8,1,6,5,4]=>[2,1,8,7,6,3,4,5]=>{{1,2},{3,8},{4,7},{5,6}}=>{{1,4},{2,3},{5,8},{6,7}}=>4
[4,7,2,8,1,6,5,3]=>[3,8,1,7,6,2,4,5]=>{{1,3},{2,8},{4,7},{5,6}}=>{{1,3},{2,4},{5,8},{6,7}}=>3
[5,7,8,2,1,6,4,3]=>[4,8,7,1,6,2,3,5]=>{{1,4},{2,8},{3,7},{5,6}}=>{{1,3},{2,5},{4,8},{6,7}}=>3
[6,7,8,1,3,5,4,2]=>[8,5,7,6,1,2,3,4]=>{{1,8},{2,5},{3,7},{4,6}}=>{{1,2},{3,6},{4,8},{5,7}}=>2
[6,7,8,1,5,3,4,2]=>[8,6,7,5,1,2,3,4]=>{{1,8},{2,6},{3,7},{4,5}}=>{{1,2},{3,7},{4,8},{5,6}}=>2
[6,7,8,1,5,4,3,2]=>[8,7,6,5,1,2,3,4]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,2},{3,8},{4,7},{5,6}}=>2
[6,7,8,1,5,4,2,3]=>[7,8,6,5,1,2,3,4]=>{{1,7},{2,8},{3,6},{4,5}}=>{{1,3},{2,8},{4,7},{5,6}}=>3
[6,7,8,1,4,5,2,3]=>[7,8,5,6,1,2,3,4]=>{{1,7},{2,8},{3,5},{4,6}}=>{{1,3},{2,8},{4,6},{5,7}}=>3
[6,7,8,1,4,5,3,2]=>[8,7,5,6,1,2,3,4]=>{{1,8},{2,7},{3,5},{4,6}}=>{{1,2},{3,8},{4,6},{5,7}}=>2
[6,7,8,1,4,3,5,2]=>[8,6,5,7,1,2,3,4]=>{{1,8},{2,6},{3,5},{4,7}}=>{{1,2},{3,7},{4,6},{5,8}}=>2
[6,7,8,1,3,4,5,2]=>[8,5,6,7,1,2,3,4]=>{{1,8},{2,5},{3,6},{4,7}}=>{{1,2},{3,6},{4,7},{5,8}}=>2
[5,7,8,2,1,4,6,3]=>[4,8,6,1,7,2,3,5]=>{{1,4},{2,8},{3,6},{5,7}}=>{{1,3},{2,5},{4,7},{6,8}}=>3
[4,7,2,8,1,5,6,3]=>[3,8,1,6,7,2,4,5]=>{{1,3},{2,8},{4,6},{5,7}}=>{{1,3},{2,4},{5,7},{6,8}}=>3
[3,2,7,8,1,5,6,4]=>[2,1,8,6,7,3,4,5]=>{{1,2},{3,8},{4,6},{5,7}}=>{{1,4},{2,3},{5,7},{6,8}}=>4
[3,2,6,8,4,1,7,5]=>[2,1,5,8,3,7,4,6]=>{{1,2},{3,5},{4,8},{6,7}}=>{{1,5},{2,3},{4,6},{7,8}}=>5
[4,6,2,8,3,1,7,5]=>[3,5,1,8,2,7,4,6]=>{{1,3},{2,5},{4,8},{6,7}}=>{{1,5},{2,4},{3,6},{7,8}}=>5
[5,6,8,3,2,1,7,4]=>[5,4,8,1,2,7,3,6]=>{{1,5},{2,4},{3,8},{6,7}}=>{{1,4},{2,6},{3,5},{7,8}}=>4
[5,7,8,3,1,4,6,2]=>[8,4,6,1,7,2,3,5]=>{{1,8},{2,4},{3,6},{5,7}}=>{{1,2},{3,5},{4,7},{6,8}}=>2
[5,7,8,3,1,6,4,2]=>[8,4,7,1,6,2,3,5]=>{{1,8},{2,4},{3,7},{5,6}}=>{{1,2},{3,5},{4,8},{6,7}}=>2
[5,7,8,3,1,6,2,4]=>[7,4,8,1,6,2,3,5]=>{{1,7},{2,4},{3,8},{5,6}}=>{{1,4},{2,8},{3,5},{6,7}}=>4
[4,7,3,8,1,6,2,5]=>[7,3,1,8,6,2,4,5]=>{{1,7},{2,3},{4,8},{5,6}}=>{{1,5},{2,8},{3,4},{6,7}}=>5
[4,7,3,8,1,6,5,2]=>[8,3,1,7,6,2,4,5]=>{{1,8},{2,3},{4,7},{5,6}}=>{{1,2},{3,4},{5,8},{6,7}}=>2
[4,7,3,8,1,5,6,2]=>[8,3,1,6,7,2,4,5]=>{{1,8},{2,3},{4,6},{5,7}}=>{{1,2},{3,4},{5,7},{6,8}}=>2
[4,6,3,8,2,1,7,5]=>[5,3,1,8,2,7,4,6]=>{{1,5},{2,3},{4,8},{6,7}}=>{{1,5},{2,6},{3,4},{7,8}}=>5
[4,5,3,2,8,1,7,6]=>[4,3,1,2,8,7,5,6]=>{{1,4},{2,3},{5,8},{6,7}}=>{{1,6},{2,5},{3,4},{7,8}}=>6
[4,5,2,3,8,1,7,6]=>[3,4,1,2,8,7,5,6]=>{{1,3},{2,4},{5,8},{6,7}}=>{{1,6},{2,4},{3,5},{7,8}}=>6
[3,2,5,4,8,1,7,6]=>[2,1,4,3,8,7,5,6]=>{{1,2},{3,4},{5,8},{6,7}}=>{{1,6},{2,3},{4,5},{7,8}}=>6
[4,5,3,2,8,1,6,7]=>[4,3,1,2,7,8,5,6]=>{{1,4},{2,3},{5,7},{6,8}}=>{{1,7},{2,5},{3,4},{6,8}}=>7
[4,6,3,8,2,1,5,7]=>[5,3,1,7,2,8,4,6]=>{{1,5},{2,3},{4,7},{6,8}}=>{{1,7},{2,6},{3,4},{5,8}}=>7
[4,7,3,8,1,5,2,6]=>[7,3,1,6,8,2,4,5]=>{{1,7},{2,3},{4,6},{5,8}}=>{{1,6},{2,8},{3,4},{5,7}}=>6
[4,7,3,8,1,2,6,5]=>[6,3,1,8,7,2,4,5]=>{{1,6},{2,3},{4,8},{5,7}}=>{{1,5},{2,7},{3,4},{6,8}}=>5
[4,7,3,8,1,2,5,6]=>[6,3,1,7,8,2,4,5]=>{{1,6},{2,3},{4,7},{5,8}}=>{{1,6},{2,7},{3,4},{5,8}}=>6
[5,7,8,3,1,2,4,6]=>[6,4,7,1,8,2,3,5]=>{{1,6},{2,4},{3,7},{5,8}}=>{{1,6},{2,7},{3,5},{4,8}}=>6
[5,7,8,3,1,2,6,4]=>[6,4,8,1,7,2,3,5]=>{{1,6},{2,4},{3,8},{5,7}}=>{{1,4},{2,7},{3,5},{6,8}}=>4
[5,7,8,3,1,4,2,6]=>[7,4,6,1,8,2,3,5]=>{{1,7},{2,4},{3,6},{5,8}}=>{{1,6},{2,8},{3,5},{4,7}}=>6
[5,6,8,3,2,1,4,7]=>[5,4,7,1,2,8,3,6]=>{{1,5},{2,4},{3,7},{6,8}}=>{{1,7},{2,6},{3,5},{4,8}}=>7
[3,2,7,8,1,5,4,6]=>[2,1,7,6,8,3,4,5]=>{{1,2},{3,7},{4,6},{5,8}}=>{{1,6},{2,3},{4,8},{5,7}}=>6
[5,7,8,2,1,4,3,6]=>[4,7,6,1,8,2,3,5]=>{{1,4},{2,7},{3,6},{5,8}}=>{{1,6},{2,5},{3,8},{4,7}}=>6
[6,7,8,1,3,4,2,5]=>[7,5,6,8,1,2,3,4]=>{{1,7},{2,5},{3,6},{4,8}}=>{{1,5},{2,8},{3,6},{4,7}}=>5
[6,7,8,1,4,3,2,5]=>[7,6,5,8,1,2,3,4]=>{{1,7},{2,6},{3,5},{4,8}}=>{{1,5},{2,8},{3,7},{4,6}}=>5
[6,7,8,1,4,2,5,3]=>[6,8,5,7,1,2,3,4]=>{{1,6},{2,8},{3,5},{4,7}}=>{{1,3},{2,7},{4,6},{5,8}}=>3
[6,7,8,1,4,2,3,5]=>[6,7,5,8,1,2,3,4]=>{{1,6},{2,7},{3,5},{4,8}}=>{{1,5},{2,7},{3,8},{4,6}}=>5
[6,7,8,1,2,5,3,4]=>[5,7,8,6,1,2,3,4]=>{{1,5},{2,7},{3,8},{4,6}}=>{{1,4},{2,6},{3,8},{5,7}}=>4
[6,7,8,1,2,5,4,3]=>[5,8,7,6,1,2,3,4]=>{{1,5},{2,8},{3,7},{4,6}}=>{{1,3},{2,6},{4,8},{5,7}}=>3
[6,7,8,1,2,4,5,3]=>[5,8,6,7,1,2,3,4]=>{{1,5},{2,8},{3,6},{4,7}}=>{{1,3},{2,6},{4,7},{5,8}}=>3
[6,7,8,1,3,2,5,4]=>[6,5,8,7,1,2,3,4]=>{{1,6},{2,5},{3,8},{4,7}}=>{{1,4},{2,7},{3,6},{5,8}}=>4
[5,7,8,2,1,3,6,4]=>[4,6,8,1,7,2,3,5]=>{{1,4},{2,6},{3,8},{5,7}}=>{{1,4},{2,5},{3,7},{6,8}}=>4
[3,2,7,8,1,4,6,5]=>[2,1,6,8,7,3,4,5]=>{{1,2},{3,6},{4,8},{5,7}}=>{{1,5},{2,3},{4,7},{6,8}}=>5
[6,7,8,1,3,2,4,5]=>[6,5,7,8,1,2,3,4]=>{{1,6},{2,5},{3,7},{4,8}}=>{{1,5},{2,7},{3,6},{4,8}}=>5
[6,7,8,1,2,4,3,5]=>[5,7,6,8,1,2,3,4]=>{{1,5},{2,7},{3,6},{4,8}}=>{{1,5},{2,6},{3,8},{4,7}}=>5
[6,7,8,1,2,3,5,4]=>[5,6,8,7,1,2,3,4]=>{{1,5},{2,6},{3,8},{4,7}}=>{{1,4},{2,6},{3,7},{5,8}}=>4
[1,8,6,7,5,4,2,3]=>[7,8,6,5,3,4,2,1]=>{{1,7},{2,8},{3,6},{4,5}}=>{{1,3},{2,8},{4,7},{5,6}}=>3
[7,8,1,6,3,5,2,4]=>[7,5,8,6,4,1,2,3]=>{{1,7},{2,5},{3,8},{4,6}}=>{{1,4},{2,8},{3,6},{5,7}}=>4
[7,4,3,1,8,6,5,2]=>[8,3,2,7,6,1,5,4]=>{{1,8},{2,3},{4,7},{5,6}}=>{{1,2},{3,4},{5,8},{6,7}}=>2
[1,5,8,2,7,6,4,3]=>[4,8,7,2,6,5,3,1]=>{{1,4},{2,8},{3,7},{5,6}}=>{{1,3},{2,5},{4,8},{6,7}}=>3
[1,4,2,8,7,6,5,3]=>[3,8,2,7,6,5,4,1]=>{{1,3},{2,8},{4,7},{5,6}}=>{{1,3},{2,4},{5,8},{6,7}}=>3
[4,1,3,8,7,6,5,2]=>[8,3,1,7,6,5,4,2]=>{{1,8},{2,3},{4,7},{5,6}}=>{{1,2},{3,4},{5,8},{6,7}}=>2
[1,4,2,6,5,8,3,7]=>[3,7,2,5,4,8,6,1]=>{{1,3},{2,7},{4,5},{6,8}}=>{{1,7},{2,4},{3,8},{5,6}}=>7
[8,4,3,6,5,1,7,2]=>[8,3,2,5,4,7,1,6]=>{{1,8},{2,3},{4,5},{6,7}}=>{{1,2},{3,4},{5,6},{7,8}}=>2
[8,6,5,4,3,1,7,2]=>[8,5,4,3,2,7,1,6]=>{{1,8},{2,5},{3,4},{6,7}}=>{{1,2},{3,6},{4,5},{7,8}}=>2
[8,7,5,4,1,6,3,2]=>[8,7,4,3,6,2,1,5]=>{{1,8},{2,7},{3,4},{5,6}}=>{{1,2},{3,8},{4,5},{6,7}}=>2
[3,2,8,6,5,1,7,4]=>[2,1,8,5,4,7,3,6]=>{{1,2},{3,8},{4,5},{6,7}}=>{{1,4},{2,3},{5,6},{7,8}}=>4
[3,2,8,7,1,6,5,4]=>[2,1,8,7,6,4,3,5]=>{{1,2},{3,8},{4,7},{5,6}}=>{{1,4},{2,3},{5,8},{6,7}}=>4
[8,7,6,1,5,4,3,2]=>[8,7,6,5,3,2,1,4]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,2},{3,8},{4,7},{5,6}}=>2
[8,4,3,7,1,6,5,2]=>[8,3,2,7,6,4,1,5]=>{{1,8},{2,3},{4,7},{5,6}}=>{{1,2},{3,4},{5,8},{6,7}}=>2
[4,1,3,2,5,6,7,8]=>[4,3,1,5,6,7,8,2]=>{{1,4,5,6,7,8},{2,3}}=>{{1,2,5,6,7,8},{3,4}}=>8
[5,6,1,3,2,8,7,4]=>[5,4,8,1,2,7,6,3]=>{{1,5},{2,4},{3,8},{6,7}}=>{{1,4},{2,6},{3,5},{7,8}}=>4
[5,7,1,3,8,2,6,4]=>[6,4,8,1,7,2,5,3]=>{{1,6},{2,4},{3,8},{5,7}}=>{{1,4},{2,7},{3,5},{6,8}}=>4
[1,5,7,4,8,6,3,2]=>[8,7,4,2,6,3,5,1]=>{{1,8},{2,7},{3,4},{5,6}}=>{{1,2},{3,8},{4,5},{6,7}}=>2
[6,1,7,8,4,5,2,3]=>[7,8,5,6,1,3,4,2]=>{{1,7},{2,8},{3,5},{4,6}}=>{{1,3},{2,8},{4,6},{5,7}}=>3
[6,7,1,8,3,2,5,4]=>[6,5,8,7,1,2,4,3]=>{{1,6},{2,5},{3,8},{4,7}}=>{{1,4},{2,7},{3,6},{5,8}}=>4
[4,1,2,7,8,6,5,3]=>[3,8,1,7,6,4,5,2]=>{{1,3},{2,8},{4,7},{5,6}}=>{{1,3},{2,4},{5,8},{6,7}}=>3
[1,5,7,3,8,6,4,2]=>[8,4,7,2,6,3,5,1]=>{{1,8},{2,4},{3,7},{5,6}}=>{{1,2},{3,5},{4,8},{6,7}}=>2
[8,7,1,6,2,5,4,3]=>[5,8,7,6,4,2,1,3]=>{{1,5},{2,8},{3,7},{4,6}}=>{{1,3},{2,6},{4,8},{5,7}}=>3
[8,6,1,7,4,2,5,3]=>[6,8,5,7,2,4,1,3]=>{{1,6},{2,8},{3,5},{4,7}}=>{{1,3},{2,7},{4,6},{5,8}}=>3
[5,1,8,3,7,6,2,4]=>[7,4,8,1,6,5,3,2]=>{{1,7},{2,4},{3,8},{5,6}}=>{{1,4},{2,8},{3,5},{6,7}}=>4
[1,8,7,6,5,4,2,3]=>[7,8,6,5,4,3,2,1]=>{{1,7},{2,8},{3,6},{4,5}}=>{{1,3},{2,8},{4,7},{5,6}}=>3
[6,8,1,7,4,5,2,3]=>[7,8,5,6,1,4,2,3]=>{{1,7},{2,8},{3,5},{4,6}}=>{{1,3},{2,8},{4,6},{5,7}}=>3
[6,8,1,7,3,5,2,4]=>[7,5,8,6,1,4,2,3]=>{{1,7},{2,5},{3,8},{4,6}}=>{{1,4},{2,8},{3,6},{5,7}}=>4
[1,8,6,7,3,5,2,4]=>[7,5,8,6,3,4,2,1]=>{{1,7},{2,5},{3,8},{4,6}}=>{{1,4},{2,8},{3,6},{5,7}}=>4
[4,7,3,6,2,5,1,8]=>[5,3,1,6,4,2,8,7]=>{{1,5},{2,3},{4,6},{7,8}}=>{{1,8},{2,6},{3,4},{5,7}}=>8
[6,1,5,4,3,8,7,2]=>[8,5,4,3,1,7,6,2]=>{{1,8},{2,5},{3,4},{6,7}}=>{{1,2},{3,6},{4,5},{7,8}}=>2
[8,1,3,4,5,6,7,2]=>[8,3,4,5,6,7,1,2]=>{{1,8},{2,3,4,5,6,7}}=>{{1,2},{3,4,5,6,7,8}}=>2
[8,1,6,7,4,3,2,5]=>[7,6,5,8,3,4,1,2]=>{{1,7},{2,6},{3,5},{4,8}}=>{{1,5},{2,8},{3,7},{4,6}}=>5
[6,4,3,8,5,1,7,2]=>[8,3,2,5,1,7,4,6]=>{{1,8},{2,3},{4,5},{6,7}}=>{{1,2},{3,4},{5,6},{7,8}}=>2
[1,10,9,8,7,6,5,4,3,2]=>[10,9,8,7,6,5,4,3,2,1]=>{{1,10},{2,9},{3,8},{4,7},{5,6}}=>{{1,2},{3,10},{4,9},{5,8},{6,7}}=>2
[5,1,8,4,7,6,3,2]=>[8,7,4,1,6,5,3,2]=>{{1,8},{2,7},{3,4},{5,6}}=>{{1,2},{3,8},{4,5},{6,7}}=>2
[5,8,7,4,1,6,3,2]=>[8,7,4,1,6,3,2,5]=>{{1,8},{2,7},{3,4},{5,6}}=>{{1,2},{3,8},{4,5},{6,7}}=>2
[1,5,7,2,8,6,4,3]=>[4,8,7,2,6,3,5,1]=>{{1,4},{2,8},{3,7},{5,6}}=>{{1,3},{2,5},{4,8},{6,7}}=>3
[3,2,8,1,7,6,5,4]=>[2,1,8,7,6,5,3,4]=>{{1,2},{3,8},{4,7},{5,6}}=>{{1,4},{2,3},{5,8},{6,7}}=>4
[6,7,1,8,4,5,2,3]=>[7,8,5,6,1,2,4,3]=>{{1,7},{2,8},{3,5},{4,6}}=>{{1,3},{2,8},{4,6},{5,7}}=>3
[4,6,3,1,2,8,7,5]=>[5,3,1,8,2,7,6,4]=>{{1,5},{2,3},{4,8},{6,7}}=>{{1,5},{2,6},{3,4},{7,8}}=>5
[8,1,6,7,2,3,5,4]=>[5,6,8,7,3,4,1,2]=>{{1,5},{2,6},{3,8},{4,7}}=>{{1,4},{2,6},{3,7},{5,8}}=>4
[8,1,5,2,7,3,6,4]=>[4,6,8,3,7,5,1,2]=>{{1,4},{2,6},{3,8},{5,7}}=>{{1,4},{2,5},{3,7},{6,8}}=>4
[6,4,2,1,3,8,7,5]=>[3,5,2,8,1,7,6,4]=>{{1,3},{2,5},{4,8},{6,7}}=>{{1,5},{2,4},{3,6},{7,8}}=>5
[5,4,2,3,1,8,7,6]=>[3,4,2,1,8,7,6,5]=>{{1,3},{2,4},{5,8},{6,7}}=>{{1,6},{2,4},{3,5},{7,8}}=>6
[6,8,1,7,4,3,2,5]=>[7,6,5,8,1,4,2,3]=>{{1,7},{2,6},{3,5},{4,8}}=>{{1,5},{2,8},{3,7},{4,6}}=>5
[6,1,7,8,4,3,2,5]=>[7,6,5,8,1,3,4,2]=>{{1,7},{2,6},{3,5},{4,8}}=>{{1,5},{2,8},{3,7},{4,6}}=>5
[1,8,7,6,4,3,2,5]=>[7,6,5,8,4,3,2,1]=>{{1,7},{2,6},{3,5},{4,8}}=>{{1,5},{2,8},{3,7},{4,6}}=>5
[1,8,6,7,2,5,3,4]=>[5,7,8,6,3,4,2,1]=>{{1,5},{2,7},{3,8},{4,6}}=>{{1,4},{2,6},{3,8},{5,7}}=>4
[6,8,1,7,4,2,5,3]=>[6,8,5,7,1,4,2,3]=>{{1,6},{2,8},{3,5},{4,7}}=>{{1,3},{2,7},{4,6},{5,8}}=>3
[6,8,5,4,3,1,2,7]=>[7,5,4,3,1,8,2,6]=>{{1,7},{2,5},{3,4},{6,8}}=>{{1,7},{2,8},{3,6},{4,5}}=>7
[8,4,2,1,7,3,6,5]=>[3,6,2,8,7,5,1,4]=>{{1,3},{2,6},{4,8},{5,7}}=>{{1,5},{2,4},{3,7},{6,8}}=>5
[3,2,7,1,8,5,6,4]=>[2,1,8,6,7,3,5,4]=>{{1,2},{3,8},{4,6},{5,7}}=>{{1,4},{2,3},{5,7},{6,8}}=>4
[1,8,6,7,5,4,3,2]=>[8,7,6,5,3,4,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,2},{3,8},{4,7},{5,6}}=>2
[5,8,1,4,7,6,3,2]=>[8,7,4,1,6,5,2,3]=>{{1,8},{2,7},{3,4},{5,6}}=>{{1,2},{3,8},{4,5},{6,7}}=>2
[5,1,8,4,7,2,6,3]=>[6,8,4,1,7,5,3,2]=>{{1,6},{2,8},{3,4},{5,7}}=>{{1,3},{2,7},{4,5},{6,8}}=>3
[8,5,1,4,7,2,6,3]=>[6,8,4,2,7,5,1,3]=>{{1,6},{2,8},{3,4},{5,7}}=>{{1,3},{2,7},{4,5},{6,8}}=>3
[8,1,7,6,5,4,3,2]=>[8,7,6,5,4,3,1,2]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,2},{3,8},{4,7},{5,6}}=>2
[7,8,5,3,1,4,2,6]=>[7,4,6,3,8,1,2,5]=>{{1,7},{2,4},{3,6},{5,8}}=>{{1,6},{2,8},{3,5},{4,7}}=>6
[7,8,5,3,1,6,4,2]=>[8,4,7,3,6,1,2,5]=>{{1,8},{2,4},{3,7},{5,6}}=>{{1,2},{3,5},{4,8},{6,7}}=>2
[7,8,5,3,1,4,6,2]=>[8,4,6,3,7,1,2,5]=>{{1,8},{2,4},{3,6},{5,7}}=>{{1,2},{3,5},{4,7},{6,8}}=>2
[7,5,8,3,1,6,4,2]=>[8,4,7,2,6,1,3,5]=>{{1,8},{2,4},{3,7},{5,6}}=>{{1,2},{3,5},{4,8},{6,7}}=>2
[7,5,1,4,8,2,6,3]=>[6,8,4,2,7,1,5,3]=>{{1,6},{2,8},{3,4},{5,7}}=>{{1,3},{2,7},{4,5},{6,8}}=>3
[4,7,3,6,5,2,1,8]=>[6,3,1,5,4,2,8,7]=>{{1,6},{2,3},{4,5},{7,8}}=>{{1,8},{2,7},{3,4},{5,6}}=>8
[8,7,6,1,2,4,5,3]=>[5,8,6,7,3,2,1,4]=>{{1,5},{2,8},{3,6},{4,7}}=>{{1,3},{2,6},{4,7},{5,8}}=>3
[1,8,7,6,3,5,2,4]=>[7,5,8,6,4,3,2,1]=>{{1,7},{2,5},{3,8},{4,6}}=>{{1,4},{2,8},{3,6},{5,7}}=>4
[7,2,3,4,1,6,5,8]=>[2,3,4,7,6,1,8,5]=>{{1,2,3,4,7,8},{5,6}}=>{{1,2,3,4,5,8},{6,7}}=>8
[1,7,5,2,8,6,4,3]=>[4,8,7,3,6,2,5,1]=>{{1,4},{2,8},{3,7},{5,6}}=>{{1,3},{2,5},{4,8},{6,7}}=>3
[7,8,1,6,2,4,3,5]=>[5,7,6,8,4,1,2,3]=>{{1,5},{2,7},{3,6},{4,8}}=>{{1,5},{2,6},{3,8},{4,7}}=>5
[6,5,8,4,3,1,7,2]=>[8,5,4,2,1,7,3,6]=>{{1,8},{2,5},{3,4},{6,7}}=>{{1,2},{3,6},{4,5},{7,8}}=>2
[6,4,3,1,5,8,7,2]=>[8,3,2,5,1,7,6,4]=>{{1,8},{2,3},{4,5},{6,7}}=>{{1,2},{3,4},{5,6},{7,8}}=>2
[8,6,7,1,4,2,5,3]=>[6,8,5,7,2,3,1,4]=>{{1,6},{2,8},{3,5},{4,7}}=>{{1,3},{2,7},{4,6},{5,8}}=>3
[5,8,7,3,1,4,6,2]=>[8,4,6,1,7,3,2,5]=>{{1,8},{2,4},{3,6},{5,7}}=>{{1,2},{3,5},{4,7},{6,8}}=>2
[8,5,7,2,1,4,6,3]=>[4,8,6,2,7,3,1,5]=>{{1,4},{2,8},{3,6},{5,7}}=>{{1,3},{2,5},{4,7},{6,8}}=>3
[8,6,7,1,5,4,3,2]=>[8,7,6,5,2,3,1,4]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,2},{3,8},{4,7},{5,6}}=>2
[7,6,8,1,2,3,5,4]=>[5,6,8,7,2,1,3,4]=>{{1,5},{2,6},{3,8},{4,7}}=>{{1,4},{2,6},{3,7},{5,8}}=>4
[6,7,1,8,5,4,3,2]=>[8,7,6,5,1,2,4,3]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,2},{3,8},{4,7},{5,6}}=>2
[6,1,7,8,5,4,3,2]=>[8,7,6,5,1,3,4,2]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,2},{3,8},{4,7},{5,6}}=>2
[8,1,7,6,3,2,4,5]=>[6,5,7,8,4,3,1,2]=>{{1,6},{2,5},{3,7},{4,8}}=>{{1,5},{2,7},{3,6},{4,8}}=>5
[5,1,7,3,8,4,2,6]=>[7,4,6,1,8,3,5,2]=>{{1,7},{2,4},{3,6},{5,8}}=>{{1,6},{2,8},{3,5},{4,7}}=>6
[1,8,7,6,5,3,2,4]=>[7,6,8,5,4,3,2,1]=>{{1,7},{2,6},{3,8},{4,5}}=>{{1,4},{2,8},{3,7},{5,6}}=>4
[1,8,7,6,5,2,3,4]=>[6,7,8,5,4,3,2,1]=>{{1,6},{2,7},{3,8},{4,5}}=>{{1,4},{2,7},{3,8},{5,6}}=>4
[6,8,5,4,3,1,7,2]=>[8,5,4,3,1,7,2,6]=>{{1,8},{2,5},{3,4},{6,7}}=>{{1,2},{3,6},{4,5},{7,8}}=>2
[7,1,5,2,8,6,4,3]=>[4,8,7,3,6,1,5,2]=>{{1,4},{2,8},{3,7},{5,6}}=>{{1,3},{2,5},{4,8},{6,7}}=>3
[1,6,7,8,5,2,3,4]=>[6,7,8,5,2,3,4,1]=>{{1,6},{2,7},{3,8},{4,5}}=>{{1,4},{2,7},{3,8},{5,6}}=>4
[8,1,7,6,5,3,4,2]=>[8,6,7,5,4,3,1,2]=>{{1,8},{2,6},{3,7},{4,5}}=>{{1,2},{3,7},{4,8},{5,6}}=>2
[4,8,3,7,1,5,2,6]=>[7,3,1,6,8,4,2,5]=>{{1,7},{2,3},{4,6},{5,8}}=>{{1,6},{2,8},{3,4},{5,7}}=>6
[7,1,5,4,8,2,3,6]=>[6,7,4,3,8,1,5,2]=>{{1,6},{2,7},{3,4},{5,8}}=>{{1,6},{2,7},{3,8},{4,5}}=>6
[8,6,1,7,4,2,3,5]=>[6,7,5,8,2,4,1,3]=>{{1,6},{2,7},{3,5},{4,8}}=>{{1,5},{2,7},{3,8},{4,6}}=>5
[7,6,1,8,4,2,3,5]=>[6,7,5,8,2,1,4,3]=>{{1,6},{2,7},{3,5},{4,8}}=>{{1,5},{2,7},{3,8},{4,6}}=>5
[8,6,1,7,2,4,5,3]=>[5,8,6,7,2,4,1,3]=>{{1,5},{2,8},{3,6},{4,7}}=>{{1,3},{2,6},{4,7},{5,8}}=>3
[3,2,8,7,1,4,6,5]=>[2,1,6,8,7,4,3,5]=>{{1,2},{3,6},{4,8},{5,7}}=>{{1,5},{2,3},{4,7},{6,8}}=>5
[8,6,1,7,4,5,2,3]=>[7,8,5,6,2,4,1,3]=>{{1,7},{2,8},{3,5},{4,6}}=>{{1,3},{2,8},{4,6},{5,7}}=>3
[5,2,1,4,3,6,7,8]=>[2,5,4,1,6,7,8,3]=>{{1,2,5,6,7,8},{3,4}}=>{{1,2,3,6,7,8},{4,5}}=>8
[4,1,2,7,8,6,3,5]=>[3,7,1,8,6,4,5,2]=>{{1,3},{2,7},{4,8},{5,6}}=>{{1,5},{2,4},{3,8},{6,7}}=>5
[4,8,3,6,5,1,7,2]=>[8,3,1,5,4,7,2,6]=>{{1,8},{2,3},{4,5},{6,7}}=>{{1,2},{3,4},{5,6},{7,8}}=>2
[7,8,5,4,1,2,6,3]=>[6,8,4,3,7,1,2,5]=>{{1,6},{2,8},{3,4},{5,7}}=>{{1,3},{2,7},{4,5},{6,8}}=>3
[7,8,5,4,1,6,3,2]=>[8,7,4,3,6,1,2,5]=>{{1,8},{2,7},{3,4},{5,6}}=>{{1,2},{3,8},{4,5},{6,7}}=>2
[7,4,2,1,8,6,5,3]=>[3,8,2,7,6,1,5,4]=>{{1,3},{2,8},{4,7},{5,6}}=>{{1,3},{2,4},{5,8},{6,7}}=>3
[6,1,8,7,5,4,3,2]=>[8,7,6,5,1,4,3,2]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,2},{3,8},{4,7},{5,6}}=>2
[6,1,8,7,4,2,3,5]=>[6,7,5,8,1,4,3,2]=>{{1,6},{2,7},{3,5},{4,8}}=>{{1,5},{2,7},{3,8},{4,6}}=>5
[1,8,6,7,5,3,4,2]=>[8,6,7,5,3,4,2,1]=>{{1,8},{2,6},{3,7},{4,5}}=>{{1,2},{3,7},{4,8},{5,6}}=>2
[4,1,3,6,5,8,7,2]=>[8,3,1,5,4,7,6,2]=>{{1,8},{2,3},{4,5},{6,7}}=>{{1,2},{3,4},{5,6},{7,8}}=>2
[1,8,7,6,3,2,5,4]=>[6,5,8,7,4,3,2,1]=>{{1,6},{2,5},{3,8},{4,7}}=>{{1,4},{2,7},{3,6},{5,8}}=>4
[1,8,7,6,3,2,4,5]=>[6,5,7,8,4,3,2,1]=>{{1,6},{2,5},{3,7},{4,8}}=>{{1,5},{2,7},{3,6},{4,8}}=>5
[4,7,2,1,8,5,3,6]=>[3,7,1,6,8,2,5,4]=>{{1,3},{2,7},{4,6},{5,8}}=>{{1,6},{2,4},{3,8},{5,7}}=>6
[8,7,6,1,4,5,2,3]=>[7,8,5,6,3,2,1,4]=>{{1,7},{2,8},{3,5},{4,6}}=>{{1,3},{2,8},{4,6},{5,7}}=>3
[8,2,3,4,5,1,7,6]=>[2,3,4,5,8,7,1,6]=>{{1,2,3,4,5,8},{6,7}}=>{{1,2,3,4,5,6},{7,8}}=>6
[6,2,3,1,5,4,7,8]=>[2,3,6,5,1,7,8,4]=>{{1,2,3,6,7,8},{4,5}}=>{{1,2,3,4,7,8},{5,6}}=>8
[1,4,3,7,8,6,2,5]=>[7,3,2,8,6,4,5,1]=>{{1,7},{2,3},{4,8},{5,6}}=>{{1,5},{2,8},{3,4},{6,7}}=>5
[6,1,7,8,2,5,3,4]=>[5,7,8,6,1,3,4,2]=>{{1,5},{2,7},{3,8},{4,6}}=>{{1,4},{2,6},{3,8},{5,7}}=>4
[8,7,5,2,1,6,4,3]=>[4,8,7,3,6,2,1,5]=>{{1,4},{2,8},{3,7},{5,6}}=>{{1,3},{2,5},{4,8},{6,7}}=>3
[7,6,8,1,5,4,2,3]=>[7,8,6,5,2,1,3,4]=>{{1,7},{2,8},{3,6},{4,5}}=>{{1,3},{2,8},{4,7},{5,6}}=>3
[8,6,1,7,5,4,3,2]=>[8,7,6,5,2,4,1,3]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,2},{3,8},{4,7},{5,6}}=>2
[5,8,7,4,1,2,3,6]=>[6,7,4,1,8,3,2,5]=>{{1,6},{2,7},{3,4},{5,8}}=>{{1,6},{2,7},{3,8},{4,5}}=>6
[6,8,5,3,4,1,2,7]=>[7,4,5,3,1,8,2,6]=>{{1,7},{2,4},{3,5},{6,8}}=>{{1,7},{2,8},{3,5},{4,6}}=>7
[5,1,7,3,8,2,4,6]=>[6,4,7,1,8,3,5,2]=>{{1,6},{2,4},{3,7},{5,8}}=>{{1,6},{2,7},{3,5},{4,8}}=>6
[8,5,7,4,1,2,3,6]=>[6,7,4,2,8,3,1,5]=>{{1,6},{2,7},{3,4},{5,8}}=>{{1,6},{2,7},{3,8},{4,5}}=>6
[1,5,7,4,8,2,3,6]=>[6,7,4,2,8,3,5,1]=>{{1,6},{2,7},{3,4},{5,8}}=>{{1,6},{2,7},{3,8},{4,5}}=>6
[5,7,1,3,8,2,4,6]=>[6,4,7,1,8,2,5,3]=>{{1,6},{2,4},{3,7},{5,8}}=>{{1,6},{2,7},{3,5},{4,8}}=>6
[7,6,8,1,5,2,3,4]=>[6,7,8,5,2,1,3,4]=>{{1,6},{2,7},{3,8},{4,5}}=>{{1,4},{2,7},{3,8},{5,6}}=>4
[7,4,3,1,8,2,5,6]=>[6,3,2,7,8,1,5,4]=>{{1,6},{2,3},{4,7},{5,8}}=>{{1,6},{2,7},{3,4},{5,8}}=>6
[6,4,3,7,5,2,1,8]=>[6,3,2,5,1,4,8,7]=>{{1,6},{2,3},{4,5},{7,8}}=>{{1,8},{2,7},{3,4},{5,6}}=>8
[6,8,5,2,3,1,7,4]=>[4,5,8,3,1,7,2,6]=>{{1,4},{2,5},{3,8},{6,7}}=>{{1,4},{2,5},{3,6},{7,8}}=>4
[6,8,7,1,3,4,5,2]=>[8,5,6,7,1,3,2,4]=>{{1,8},{2,5},{3,6},{4,7}}=>{{1,2},{3,6},{4,7},{5,8}}=>2
[6,4,2,8,3,1,7,5]=>[3,5,2,8,1,7,4,6]=>{{1,3},{2,5},{4,8},{6,7}}=>{{1,5},{2,4},{3,6},{7,8}}=>5
[6,1,8,7,4,3,2,5]=>[7,6,5,8,1,4,3,2]=>{{1,7},{2,6},{3,5},{4,8}}=>{{1,5},{2,8},{3,7},{4,6}}=>5
[4,6,3,1,5,8,7,2]=>[8,3,1,5,2,7,6,4]=>{{1,8},{2,3},{4,5},{6,7}}=>{{1,2},{3,4},{5,6},{7,8}}=>2
[1,5,7,2,8,4,3,6]=>[4,7,6,2,8,3,5,1]=>{{1,4},{2,7},{3,6},{5,8}}=>{{1,6},{2,5},{3,8},{4,7}}=>6
[1,8,7,6,3,4,2,5]=>[7,5,6,8,4,3,2,1]=>{{1,7},{2,5},{3,6},{4,8}}=>{{1,5},{2,8},{3,6},{4,7}}=>5
[6,8,5,2,4,1,7,3]=>[4,8,5,3,1,7,2,6]=>{{1,4},{2,8},{3,5},{6,7}}=>{{1,3},{2,5},{4,6},{7,8}}=>3
[7,8,6,1,5,4,3,2]=>[8,7,6,5,3,1,2,4]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,2},{3,8},{4,7},{5,6}}=>2
[5,1,7,3,8,6,4,2]=>[8,4,7,1,6,3,5,2]=>{{1,8},{2,4},{3,7},{5,6}}=>{{1,2},{3,5},{4,8},{6,7}}=>2
[7,1,5,3,8,6,4,2]=>[8,4,7,3,6,1,5,2]=>{{1,8},{2,4},{3,7},{5,6}}=>{{1,2},{3,5},{4,8},{6,7}}=>2
[1,7,5,3,8,6,4,2]=>[8,4,7,3,6,2,5,1]=>{{1,8},{2,4},{3,7},{5,6}}=>{{1,2},{3,5},{4,8},{6,7}}=>2
[7,5,1,3,8,6,4,2]=>[8,4,7,2,6,1,5,3]=>{{1,8},{2,4},{3,7},{5,6}}=>{{1,2},{3,5},{4,8},{6,7}}=>2
[5,7,1,3,8,6,4,2]=>[8,4,7,1,6,2,5,3]=>{{1,8},{2,4},{3,7},{5,6}}=>{{1,2},{3,5},{4,8},{6,7}}=>2
[7,5,1,2,8,6,4,3]=>[4,8,7,2,6,1,5,3]=>{{1,4},{2,8},{3,7},{5,6}}=>{{1,3},{2,5},{4,8},{6,7}}=>3
[6,8,5,3,2,1,4,7]=>[5,4,7,3,1,8,2,6]=>{{1,5},{2,4},{3,7},{6,8}}=>{{1,7},{2,6},{3,5},{4,8}}=>7
[8,2,3,1,4,6,5,7]=>[2,3,5,7,6,8,1,4]=>{{1,2,3,5,6,8},{4,7}}=>{{1,2,3,4,6,7},{5,8}}=>7
[8,7,1,6,5,4,3,2]=>[8,7,6,5,4,2,1,3]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,2},{3,8},{4,7},{5,6}}=>2
[7,8,5,2,1,4,3,6]=>[4,7,6,3,8,1,2,5]=>{{1,4},{2,7},{3,6},{5,8}}=>{{1,6},{2,5},{3,8},{4,7}}=>6
[1,8,7,6,2,5,4,3]=>[5,8,7,6,4,3,2,1]=>{{1,5},{2,8},{3,7},{4,6}}=>{{1,3},{2,6},{4,8},{5,7}}=>3
[5,1,8,4,7,3,2,6]=>[7,6,4,1,8,5,3,2]=>{{1,7},{2,6},{3,4},{5,8}}=>{{1,6},{2,8},{3,7},{4,5}}=>6
[7,1,8,6,4,3,5,2]=>[8,6,5,7,4,1,3,2]=>{{1,8},{2,6},{3,5},{4,7}}=>{{1,2},{3,7},{4,6},{5,8}}=>2
[8,4,3,7,1,2,6,5]=>[6,3,2,8,7,4,1,5]=>{{1,6},{2,3},{4,8},{5,7}}=>{{1,5},{2,7},{3,4},{6,8}}=>5
[8,6,1,7,2,5,4,3]=>[5,8,7,6,2,4,1,3]=>{{1,5},{2,8},{3,7},{4,6}}=>{{1,3},{2,6},{4,8},{5,7}}=>3
[8,7,6,1,2,3,5,4]=>[5,6,8,7,3,2,1,4]=>{{1,5},{2,6},{3,8},{4,7}}=>{{1,4},{2,6},{3,7},{5,8}}=>4
[6,8,7,1,5,2,3,4]=>[6,7,8,5,1,3,2,4]=>{{1,6},{2,7},{3,8},{4,5}}=>{{1,4},{2,7},{3,8},{5,6}}=>4
[7,8,6,1,3,2,5,4]=>[6,5,8,7,3,1,2,4]=>{{1,6},{2,5},{3,8},{4,7}}=>{{1,4},{2,7},{3,6},{5,8}}=>4
[7,6,8,1,5,4,3,2]=>[8,7,6,5,2,1,3,4]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,2},{3,8},{4,7},{5,6}}=>2
[10,1,9,8,7,6,5,4,3,2]=>[10,9,8,7,6,5,4,3,1,2]=>{{1,10},{2,9},{3,8},{4,7},{5,6}}=>{{1,2},{3,10},{4,9},{5,8},{6,7}}=>2
[7,6,1,8,5,4,3,2]=>[8,7,6,5,2,1,4,3]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,2},{3,8},{4,7},{5,6}}=>2
[4,7,3,1,8,2,5,6]=>[6,3,1,7,8,2,5,4]=>{{1,6},{2,3},{4,7},{5,8}}=>{{1,6},{2,7},{3,4},{5,8}}=>6
[8,1,6,7,2,5,3,4]=>[5,7,8,6,3,4,1,2]=>{{1,5},{2,7},{3,8},{4,6}}=>{{1,4},{2,6},{3,8},{5,7}}=>4
[7,4,3,8,1,6,2,5]=>[7,3,2,8,6,1,4,5]=>{{1,7},{2,3},{4,8},{5,6}}=>{{1,5},{2,8},{3,4},{6,7}}=>5
[5,1,6,3,2,8,7,4]=>[5,4,8,1,3,7,6,2]=>{{1,5},{2,4},{3,8},{6,7}}=>{{1,4},{2,6},{3,5},{7,8}}=>4
[7,1,5,4,8,6,3,2]=>[8,7,4,3,6,1,5,2]=>{{1,8},{2,7},{3,4},{5,6}}=>{{1,2},{3,8},{4,5},{6,7}}=>2
[5,7,1,4,8,6,3,2]=>[8,7,4,1,6,2,5,3]=>{{1,8},{2,7},{3,4},{5,6}}=>{{1,2},{3,8},{4,5},{6,7}}=>2
[7,5,8,4,1,6,3,2]=>[8,7,4,2,6,1,3,5]=>{{1,8},{2,7},{3,4},{5,6}}=>{{1,2},{3,8},{4,5},{6,7}}=>2
[7,4,2,8,1,3,6,5]=>[3,6,2,8,7,1,4,5]=>{{1,3},{2,6},{4,8},{5,7}}=>{{1,5},{2,4},{3,7},{6,8}}=>5
[1,7,5,4,8,6,3,2]=>[8,7,4,3,6,2,5,1]=>{{1,8},{2,7},{3,4},{5,6}}=>{{1,2},{3,8},{4,5},{6,7}}=>2
[1,5,8,4,7,6,2,3]=>[7,8,4,2,6,5,3,1]=>{{1,7},{2,8},{3,4},{5,6}}=>{{1,3},{2,8},{4,5},{6,7}}=>3
[8,1,5,2,7,6,4,3]=>[4,8,7,3,6,5,1,2]=>{{1,4},{2,8},{3,7},{5,6}}=>{{1,3},{2,5},{4,8},{6,7}}=>3
[5,7,6,3,2,4,1,8]=>[5,4,6,1,3,2,8,7]=>{{1,5},{2,4},{3,6},{7,8}}=>{{1,8},{2,6},{3,5},{4,7}}=>8
[6,5,7,2,4,3,1,8]=>[4,6,5,2,1,3,8,7]=>{{1,4},{2,6},{3,5},{7,8}}=>{{1,8},{2,5},{3,7},{4,6}}=>8
[7,5,8,2,1,4,3,6]=>[4,7,6,2,8,1,3,5]=>{{1,4},{2,7},{3,6},{5,8}}=>{{1,6},{2,5},{3,8},{4,7}}=>6
[9,2,3,4,5,6,7,8,1]=>[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}}=>1
[6,7,1,8,3,2,4,5]=>[6,5,7,8,1,2,4,3]=>{{1,6},{2,5},{3,7},{4,8}}=>{{1,5},{2,7},{3,6},{4,8}}=>5
[7,1,5,4,8,3,2,6]=>[7,6,4,3,8,1,5,2]=>{{1,7},{2,6},{3,4},{5,8}}=>{{1,6},{2,8},{3,7},{4,5}}=>6
[1,8,6,7,2,5,4,3]=>[5,8,7,6,3,4,2,1]=>{{1,5},{2,8},{3,7},{4,6}}=>{{1,3},{2,6},{4,8},{5,7}}=>3
[3,2,6,1,5,8,4,7]=>[2,1,7,5,3,8,6,4]=>{{1,2},{3,7},{4,5},{6,8}}=>{{1,7},{2,3},{4,8},{5,6}}=>7
[4,7,3,1,8,6,5,2]=>[8,3,1,7,6,2,5,4]=>{{1,8},{2,3},{4,7},{5,6}}=>{{1,2},{3,4},{5,8},{6,7}}=>2
[10,2,3,4,5,6,7,8,9,1]=>[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}}=>1
[8,7,1,6,2,5,3,4]=>[5,7,8,6,4,2,1,3]=>{{1,5},{2,7},{3,8},{4,6}}=>{{1,4},{2,6},{3,8},{5,7}}=>4
[1,7,6,8,5,2,4,3]=>[6,8,7,5,3,2,4,1]=>{{1,6},{2,8},{3,7},{4,5}}=>{{1,3},{2,7},{4,8},{5,6}}=>3
[7,8,6,1,4,5,2,3]=>[7,8,5,6,3,1,2,4]=>{{1,7},{2,8},{3,5},{4,6}}=>{{1,3},{2,8},{4,6},{5,7}}=>3
[5,2,3,6,1,4,8,7]=>[2,3,6,1,4,8,7,5]=>{{1,2,3,6,8},{4},{5},{7}}=>{{1,2,3,4,7},{5},{6},{8}}=>7
[8,6,1,7,2,5,3,4]=>[5,7,8,6,2,4,1,3]=>{{1,5},{2,7},{3,8},{4,6}}=>{{1,4},{2,6},{3,8},{5,7}}=>4
[7,4,2,8,1,6,3,5]=>[3,7,2,8,6,1,4,5]=>{{1,3},{2,7},{4,8},{5,6}}=>{{1,5},{2,4},{3,8},{6,7}}=>5
[7,5,8,2,1,3,6,4]=>[4,6,8,2,7,1,3,5]=>{{1,4},{2,6},{3,8},{5,7}}=>{{1,4},{2,5},{3,7},{6,8}}=>4
[1,5,8,4,7,6,3,2]=>[8,7,4,2,6,5,3,1]=>{{1,8},{2,7},{3,4},{5,6}}=>{{1,2},{3,8},{4,5},{6,7}}=>2
[5,8,1,3,7,2,6,4]=>[6,4,8,1,7,5,2,3]=>{{1,6},{2,4},{3,8},{5,7}}=>{{1,4},{2,7},{3,5},{6,8}}=>4
[6,1,5,2,3,8,7,4]=>[4,5,8,3,1,7,6,2]=>{{1,4},{2,5},{3,8},{6,7}}=>{{1,4},{2,5},{3,6},{7,8}}=>4
[9,2,3,4,5,6,7,1,8]=>[2,3,4,5,6,7,9,1,8]=>{{1,2,3,4,5,6,7,9},{8}}=>{{1,2,3,4,5,6,7,8},{9}}=>8
[1,6,7,8,2,4,3,5]=>[5,7,6,8,2,3,4,1]=>{{1,5},{2,7},{3,6},{4,8}}=>{{1,5},{2,6},{3,8},{4,7}}=>5
[4,8,3,7,1,6,5,2]=>[8,3,1,7,6,4,2,5]=>{{1,8},{2,3},{4,7},{5,6}}=>{{1,2},{3,4},{5,8},{6,7}}=>2
[8,4,2,1,7,6,5,3]=>[3,8,2,7,6,5,1,4]=>{{1,3},{2,8},{4,7},{5,6}}=>{{1,3},{2,4},{5,8},{6,7}}=>3
[8,6,7,1,4,2,3,5]=>[6,7,5,8,2,3,1,4]=>{{1,6},{2,7},{3,5},{4,8}}=>{{1,5},{2,7},{3,8},{4,6}}=>5
[6,2,3,4,8,5,7,1]=>[2,3,4,6,1,7,5,8]=>{{1,2,3,4,6,7},{5},{8}}=>{{1},{2,3,4,5,7,8},{6}}=>1
[1,8,7,6,4,5,2,3]=>[7,8,5,6,4,3,2,1]=>{{1,7},{2,8},{3,5},{4,6}}=>{{1,3},{2,8},{4,6},{5,7}}=>3
[8,6,1,7,4,5,3,2]=>[8,7,5,6,2,4,1,3]=>{{1,8},{2,7},{3,5},{4,6}}=>{{1,2},{3,8},{4,6},{5,7}}=>2
[8,1,7,6,4,5,3,2]=>[8,7,5,6,4,3,1,2]=>{{1,8},{2,7},{3,5},{4,6}}=>{{1,2},{3,8},{4,6},{5,7}}=>2
[8,4,2,7,1,5,3,6]=>[3,7,2,6,8,4,1,5]=>{{1,3},{2,7},{4,6},{5,8}}=>{{1,6},{2,4},{3,8},{5,7}}=>6
[1,7,8,6,2,4,3,5]=>[5,7,6,8,4,2,3,1]=>{{1,5},{2,7},{3,6},{4,8}}=>{{1,5},{2,6},{3,8},{4,7}}=>5
[6,5,8,4,2,1,7,3]=>[5,8,4,2,1,7,3,6]=>{{1,5},{2,8},{3,4},{6,7}}=>{{1,3},{2,6},{4,5},{7,8}}=>3
[1,7,8,6,5,4,2,3]=>[7,8,6,5,4,2,3,1]=>{{1,7},{2,8},{3,6},{4,5}}=>{{1,3},{2,8},{4,7},{5,6}}=>3
[5,1,6,4,3,8,7,2]=>[8,5,4,1,3,7,6,2]=>{{1,8},{2,5},{3,4},{6,7}}=>{{1,2},{3,6},{4,5},{7,8}}=>2
[7,8,6,1,3,4,2,5]=>[7,5,6,8,3,1,2,4]=>{{1,7},{2,5},{3,6},{4,8}}=>{{1,5},{2,8},{3,6},{4,7}}=>5
[4,8,3,1,7,6,5,2]=>[8,3,1,7,6,5,2,4]=>{{1,8},{2,3},{4,7},{5,6}}=>{{1,2},{3,4},{5,8},{6,7}}=>2
[8,7,5,3,1,4,6,2]=>[8,4,6,3,7,2,1,5]=>{{1,8},{2,4},{3,6},{5,7}}=>{{1,2},{3,5},{4,7},{6,8}}=>2
[6,8,1,7,2,4,5,3]=>[5,8,6,7,1,4,2,3]=>{{1,5},{2,8},{3,6},{4,7}}=>{{1,3},{2,6},{4,7},{5,8}}=>3
[6,5,1,3,2,8,4,7]=>[5,4,7,2,1,8,6,3]=>{{1,5},{2,4},{3,7},{6,8}}=>{{1,7},{2,6},{3,5},{4,8}}=>7
[6,1,8,7,3,5,2,4]=>[7,5,8,6,1,4,3,2]=>{{1,7},{2,5},{3,8},{4,6}}=>{{1,4},{2,8},{3,6},{5,7}}=>4
[8,4,2,7,1,6,3,5]=>[3,7,2,8,6,4,1,5]=>{{1,3},{2,7},{4,8},{5,6}}=>{{1,5},{2,4},{3,8},{6,7}}=>5
[8,7,6,1,2,5,3,4]=>[5,7,8,6,3,2,1,4]=>{{1,5},{2,7},{3,8},{4,6}}=>{{1,4},{2,6},{3,8},{5,7}}=>4
[8,7,6,1,2,5,4,3]=>[5,8,7,6,3,2,1,4]=>{{1,5},{2,8},{3,7},{4,6}}=>{{1,3},{2,6},{4,8},{5,7}}=>3
[8,1,6,7,3,4,2,5]=>[7,5,6,8,3,4,1,2]=>{{1,7},{2,5},{3,6},{4,8}}=>{{1,5},{2,8},{3,6},{4,7}}=>5
[7,8,1,6,3,2,4,5]=>[6,5,7,8,4,1,2,3]=>{{1,6},{2,5},{3,7},{4,8}}=>{{1,5},{2,7},{3,6},{4,8}}=>5
[7,1,8,6,2,5,4,3]=>[5,8,7,6,4,1,3,2]=>{{1,5},{2,8},{3,7},{4,6}}=>{{1,3},{2,6},{4,8},{5,7}}=>3
[6,8,7,1,5,4,3,2]=>[8,7,6,5,1,3,2,4]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,2},{3,8},{4,7},{5,6}}=>2
[9,10,1,8,7,6,5,4,3,2]=>[10,9,8,7,6,5,4,1,2,3]=>{{1,10},{2,9},{3,8},{4,7},{5,6}}=>{{1,2},{3,10},{4,9},{5,8},{6,7}}=>2
[3,2,5,4,7,6,9,8,1,10]=>[2,1,4,3,6,5,8,7,10,9]=>{{1,2},{3,4},{5,6},{7,8},{9,10}}=>{{1,10},{2,3},{4,5},{6,7},{8,9}}=>10
[3,2,5,4,7,6,9,8,11,10,1,12]=>[2,1,4,3,6,5,8,7,10,9,12,11]=>{{1,2},{3,4},{5,6},{7,8},{9,10},{11,12}}=>{{1,12},{2,3},{4,5},{6,7},{8,9},{10,11}}=>12
[1,7,2,4,5,3,6,8]=>[3,6,4,5,7,2,8,1]=>{{1,3,4,5,7,8},{2,6}}=>{{1,2,4,5,6,8},{3,7}}=>8
[4,8,2,7,1,3,6,5]=>[3,6,1,8,7,4,2,5]=>{{1,3},{2,6},{4,8},{5,7}}=>{{1,5},{2,4},{3,7},{6,8}}=>5
[1,6,8,7,5,3,2,4]=>[7,6,8,5,2,4,3,1]=>{{1,7},{2,6},{3,8},{4,5}}=>{{1,4},{2,8},{3,7},{5,6}}=>4
[7,8,6,1,2,4,5,3]=>[5,8,6,7,3,1,2,4]=>{{1,5},{2,8},{3,6},{4,7}}=>{{1,3},{2,6},{4,7},{5,8}}=>3
[8,1,6,7,4,2,5,3]=>[6,8,5,7,3,4,1,2]=>{{1,6},{2,8},{3,5},{4,7}}=>{{1,3},{2,7},{4,6},{5,8}}=>3
[8,1,6,7,4,2,3,5]=>[6,7,5,8,3,4,1,2]=>{{1,6},{2,7},{3,5},{4,8}}=>{{1,5},{2,7},{3,8},{4,6}}=>5
[8,6,7,1,4,5,2,3]=>[7,8,5,6,2,3,1,4]=>{{1,7},{2,8},{3,5},{4,6}}=>{{1,3},{2,8},{4,6},{5,7}}=>3
[8,1,6,7,2,5,4,3]=>[5,8,7,6,3,4,1,2]=>{{1,5},{2,8},{3,7},{4,6}}=>{{1,3},{2,6},{4,8},{5,7}}=>3
[6,1,8,7,4,5,2,3]=>[7,8,5,6,1,4,3,2]=>{{1,7},{2,8},{3,5},{4,6}}=>{{1,3},{2,8},{4,6},{5,7}}=>3
[8,4,3,1,7,2,5,6]=>[6,3,2,7,8,5,1,4]=>{{1,6},{2,3},{4,7},{5,8}}=>{{1,6},{2,7},{3,4},{5,8}}=>6
[3,2,7,1,8,5,4,6]=>[2,1,7,6,8,3,5,4]=>{{1,2},{3,7},{4,6},{5,8}}=>{{1,6},{2,3},{4,8},{5,7}}=>6
[8,1,5,4,7,3,6,2]=>[8,6,4,3,7,5,1,2]=>{{1,8},{2,6},{3,4},{5,7}}=>{{1,2},{3,7},{4,5},{6,8}}=>2
[8,1,5,4,7,6,3,2]=>[8,7,4,3,6,5,1,2]=>{{1,8},{2,7},{3,4},{5,6}}=>{{1,2},{3,8},{4,5},{6,7}}=>2
[7,1,6,8,5,4,3,2]=>[8,7,6,5,3,1,4,2]=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,2},{3,8},{4,7},{5,6}}=>2
[4,8,2,1,7,5,6,3]=>[3,8,1,6,7,5,2,4]=>{{1,3},{2,8},{4,6},{5,7}}=>{{1,3},{2,4},{5,7},{6,8}}=>3
[10,2,3,4,5,6,7,8,1,9]=>[2,3,4,5,6,7,8,10,1,9]=>{{1,2,3,4,5,6,7,8,10},{9}}=>{{1,2,3,4,5,6,7,8,9},{10}}=>9
[11,2,3,4,5,6,7,8,9,1,10]=>[2,3,4,5,6,7,8,9,11,1,10]=>{{1,2,3,4,5,6,7,8,9,11},{10}}=>{{1,2,3,4,5,6,7,8,9,10},{11}}=>10
[6,5,1,2,4,8,7,3]=>[4,8,5,2,1,7,6,3]=>{{1,4},{2,8},{3,5},{6,7}}=>{{1,3},{2,5},{4,6},{7,8}}=>3
[5,8,7,2,1,3,6,4]=>[4,6,8,1,7,3,2,5]=>{{1,4},{2,6},{3,8},{5,7}}=>{{1,4},{2,5},{3,7},{6,8}}=>4
[5,1,7,2,8,6,3,4]=>[4,7,8,1,6,3,5,2]=>{{1,4},{2,7},{3,8},{5,6}}=>{{1,4},{2,5},{3,8},{6,7}}=>4
[6,1,5,3,4,8,7,2]=>[8,4,5,3,1,7,6,2]=>{{1,8},{2,4},{3,5},{6,7}}=>{{1,2},{3,5},{4,6},{7,8}}=>2
[5,8,6,3,2,1,4,7]=>[5,4,7,1,3,8,2,6]=>{{1,5},{2,4},{3,7},{6,8}}=>{{1,7},{2,6},{3,5},{4,8}}=>7
[8,7,1,6,3,5,4,2]=>[8,5,7,6,4,2,1,3]=>{{1,8},{2,5},{3,7},{4,6}}=>{{1,2},{3,6},{4,8},{5,7}}=>2
[7,5,1,4,8,2,3,6]=>[6,7,4,2,8,1,5,3]=>{{1,6},{2,7},{3,4},{5,8}}=>{{1,6},{2,7},{3,8},{4,5}}=>6
[3,2,8,1,7,5,6,4]=>[2,1,8,6,7,5,3,4]=>{{1,2},{3,8},{4,6},{5,7}}=>{{1,4},{2,3},{5,7},{6,8}}=>4
[8,4,3,1,7,5,6,2]=>[8,3,2,6,7,5,1,4]=>{{1,8},{2,3},{4,6},{5,7}}=>{{1,2},{3,4},{5,7},{6,8}}=>2
[6,1,7,8,4,2,3,5]=>[6,7,5,8,1,3,4,2]=>{{1,6},{2,7},{3,5},{4,8}}=>{{1,5},{2,7},{3,8},{4,6}}=>5
[7,8,1,6,3,4,5,2]=>[8,5,6,7,4,1,2,3]=>{{1,8},{2,5},{3,6},{4,7}}=>{{1,2},{3,6},{4,7},{5,8}}=>2
[6,8,1,7,3,4,2,5]=>[7,5,6,8,1,4,2,3]=>{{1,7},{2,5},{3,6},{4,8}}=>{{1,5},{2,8},{3,6},{4,7}}=>5
[6,7,1,8,4,3,2,5]=>[7,6,5,8,1,2,4,3]=>{{1,7},{2,6},{3,5},{4,8}}=>{{1,5},{2,8},{3,7},{4,6}}=>5
[8,5,6,4,3,1,7,2]=>[8,5,4,2,3,7,1,6]=>{{1,8},{2,5},{3,4},{6,7}}=>{{1,2},{3,6},{4,5},{7,8}}=>2
[7,1,6,8,2,5,4,3]=>[5,8,7,6,3,1,4,2]=>{{1,5},{2,8},{3,7},{4,6}}=>{{1,3},{2,6},{4,8},{5,7}}=>3
[1,7,8,6,4,5,3,2]=>[8,7,5,6,4,2,3,1]=>{{1,8},{2,7},{3,5},{4,6}}=>{{1,2},{3,8},{4,6},{5,7}}=>2
[4,7,3,1,8,2,6,5]=>[6,3,1,8,7,2,5,4]=>{{1,6},{2,3},{4,8},{5,7}}=>{{1,5},{2,7},{3,4},{6,8}}=>5
[8,5,1,4,7,6,3,2]=>[8,7,4,2,6,5,1,3]=>{{1,8},{2,7},{3,4},{5,6}}=>{{1,2},{3,8},{4,5},{6,7}}=>2
[3,2,6,1,5,8,7,4]=>[2,1,8,5,3,7,6,4]=>{{1,2},{3,8},{4,5},{6,7}}=>{{1,4},{2,3},{5,6},{7,8}}=>4
[3,2,7,1,8,6,5,4]=>[2,1,8,7,6,3,5,4]=>{{1,2},{3,8},{4,7},{5,6}}=>{{1,4},{2,3},{5,8},{6,7}}=>4
[7,4,3,8,1,6,5,2]=>[8,3,2,7,6,1,4,5]=>{{1,8},{2,3},{4,7},{5,6}}=>{{1,2},{3,4},{5,8},{6,7}}=>2
[6,5,1,4,3,8,7,2]=>[8,5,4,2,1,7,6,3]=>{{1,8},{2,5},{3,4},{6,7}}=>{{1,2},{3,6},{4,5},{7,8}}=>2
[8,4,3,1,7,6,5,2]=>[8,3,2,7,6,5,1,4]=>{{1,8},{2,3},{4,7},{5,6}}=>{{1,2},{3,4},{5,8},{6,7}}=>2
[8,1,7,6,2,5,4,3]=>[5,8,7,6,4,3,1,2]=>{{1,5},{2,8},{3,7},{4,6}}=>{{1,3},{2,6},{4,8},{5,7}}=>3
[1,8,7,6,2,4,5,3]=>[5,8,6,7,4,3,2,1]=>{{1,5},{2,8},{3,6},{4,7}}=>{{1,3},{2,6},{4,7},{5,8}}=>3
[7,6,1,8,2,5,4,3]=>[5,8,7,6,2,1,4,3]=>{{1,5},{2,8},{3,7},{4,6}}=>{{1,3},{2,6},{4,8},{5,7}}=>3
[8,6,7,1,2,5,4,3]=>[5,8,7,6,2,3,1,4]=>{{1,5},{2,8},{3,7},{4,6}}=>{{1,3},{2,6},{4,8},{5,7}}=>3
[8,5,1,2,7,6,4,3]=>[4,8,7,2,6,5,1,3]=>{{1,4},{2,8},{3,7},{5,6}}=>{{1,3},{2,5},{4,8},{6,7}}=>3
[8,1,6,7,4,5,3,2]=>[8,7,5,6,3,4,1,2]=>{{1,8},{2,7},{3,5},{4,6}}=>{{1,2},{3,8},{4,6},{5,7}}=>2
[5,7,6,3,4,2,1,8]=>[6,4,5,1,3,2,8,7]=>{{1,6},{2,4},{3,5},{7,8}}=>{{1,8},{2,7},{3,5},{4,6}}=>8
[1,6,8,7,2,5,4,3]=>[5,8,7,6,2,4,3,1]=>{{1,5},{2,8},{3,7},{4,6}}=>{{1,3},{2,6},{4,8},{5,7}}=>3
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Description
The biggest entry in the block containing the 1.
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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,π(i)) with i≤π(i).
This is the coarsest set partition that contains all arcs (i,π(i)) with i≤π(i).
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rotate increasing
Description
The rotation of the set partition obtained by adding 1 to each entry different from the largest, and replacing the largest entry with 1.
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Inverse Kreweras complement
Description
Sends the permutation π∈Sn to the permutation cπ−1 where c=(1,…,n) is the long cycle.
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