Identifier
-
Mp00237:
Permutations
—descent views to invisible inversion bottoms⟶
Permutations
Mp00088: Permutations —Kreweras complement⟶ Permutations
Mp00240: Permutations —weak exceedance partition⟶ Set partitions
St000492: Set partitions ⟶ ℤ
Values
=>
Cc0009;cc-rep
[1,2]=>[1,2]=>[2,1]=>{{1,2}}=>0
[2,1]=>[2,1]=>[1,2]=>{{1},{2}}=>1
[1,2,3]=>[1,2,3]=>[2,3,1]=>{{1,2,3}}=>0
[1,3,2]=>[1,3,2]=>[2,1,3]=>{{1,2},{3}}=>2
[2,1,3]=>[2,1,3]=>[3,2,1]=>{{1,3},{2}}=>1
[2,3,1]=>[3,2,1]=>[1,3,2]=>{{1},{2,3}}=>1
[3,1,2]=>[3,1,2]=>[3,1,2]=>{{1,3},{2}}=>1
[3,2,1]=>[2,3,1]=>[1,2,3]=>{{1},{2},{3}}=>3
[1,2,3,4]=>[1,2,3,4]=>[2,3,4,1]=>{{1,2,3,4}}=>0
[1,2,4,3]=>[1,2,4,3]=>[2,3,1,4]=>{{1,2,3},{4}}=>3
[1,3,2,4]=>[1,3,2,4]=>[2,4,3,1]=>{{1,2,4},{3}}=>2
[1,3,4,2]=>[1,4,3,2]=>[2,1,4,3]=>{{1,2},{3,4}}=>2
[1,4,2,3]=>[1,4,2,3]=>[2,4,1,3]=>{{1,2,4},{3}}=>2
[1,4,3,2]=>[1,3,4,2]=>[2,1,3,4]=>{{1,2},{3},{4}}=>5
[2,1,3,4]=>[2,1,3,4]=>[3,2,4,1]=>{{1,3,4},{2}}=>1
[2,1,4,3]=>[2,1,4,3]=>[3,2,1,4]=>{{1,3},{2},{4}}=>4
[2,3,1,4]=>[3,2,1,4]=>[4,3,2,1]=>{{1,4},{2,3}}=>1
[2,3,4,1]=>[4,2,3,1]=>[1,3,4,2]=>{{1},{2,3,4}}=>1
[2,4,1,3]=>[4,2,1,3]=>[4,3,1,2]=>{{1,4},{2,3}}=>1
[2,4,3,1]=>[3,2,4,1]=>[1,3,2,4]=>{{1},{2,3},{4}}=>4
[3,1,2,4]=>[3,1,2,4]=>[3,4,2,1]=>{{1,3},{2,4}}=>1
[3,1,4,2]=>[3,4,1,2]=>[4,1,2,3]=>{{1,4},{2},{3}}=>3
[3,2,1,4]=>[2,3,1,4]=>[4,2,3,1]=>{{1,4},{2},{3}}=>3
[3,2,4,1]=>[4,3,2,1]=>[1,4,3,2]=>{{1},{2,4},{3}}=>3
[3,4,1,2]=>[4,1,3,2]=>[3,1,4,2]=>{{1,3,4},{2}}=>1
[3,4,2,1]=>[2,4,3,1]=>[1,2,4,3]=>{{1},{2},{3,4}}=>3
[4,1,2,3]=>[4,1,2,3]=>[3,4,1,2]=>{{1,3},{2,4}}=>1
[4,1,3,2]=>[4,3,1,2]=>[4,1,3,2]=>{{1,4},{2},{3}}=>3
[4,2,1,3]=>[2,4,1,3]=>[4,2,1,3]=>{{1,4},{2},{3}}=>3
[4,2,3,1]=>[3,4,2,1]=>[1,4,2,3]=>{{1},{2,4},{3}}=>3
[4,3,1,2]=>[3,1,4,2]=>[3,1,2,4]=>{{1,3},{2},{4}}=>4
[4,3,2,1]=>[2,3,4,1]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>6
[1,2,3,4,5]=>[1,2,3,4,5]=>[2,3,4,5,1]=>{{1,2,3,4,5}}=>0
[1,2,3,5,4]=>[1,2,3,5,4]=>[2,3,4,1,5]=>{{1,2,3,4},{5}}=>4
[1,2,4,3,5]=>[1,2,4,3,5]=>[2,3,5,4,1]=>{{1,2,3,5},{4}}=>3
[1,2,4,5,3]=>[1,2,5,4,3]=>[2,3,1,5,4]=>{{1,2,3},{4,5}}=>3
[1,2,5,3,4]=>[1,2,5,3,4]=>[2,3,5,1,4]=>{{1,2,3,5},{4}}=>3
[1,2,5,4,3]=>[1,2,4,5,3]=>[2,3,1,4,5]=>{{1,2,3},{4},{5}}=>7
[1,3,2,4,5]=>[1,3,2,4,5]=>[2,4,3,5,1]=>{{1,2,4,5},{3}}=>2
[1,3,2,5,4]=>[1,3,2,5,4]=>[2,4,3,1,5]=>{{1,2,4},{3},{5}}=>6
[1,3,4,2,5]=>[1,4,3,2,5]=>[2,5,4,3,1]=>{{1,2,5},{3,4}}=>2
[1,3,4,5,2]=>[1,5,3,4,2]=>[2,1,4,5,3]=>{{1,2},{3,4,5}}=>2
[1,3,5,2,4]=>[1,5,3,2,4]=>[2,5,4,1,3]=>{{1,2,5},{3,4}}=>2
[1,3,5,4,2]=>[1,4,3,5,2]=>[2,1,4,3,5]=>{{1,2},{3,4},{5}}=>6
[1,4,2,3,5]=>[1,4,2,3,5]=>[2,4,5,3,1]=>{{1,2,4},{3,5}}=>2
[1,4,2,5,3]=>[1,4,5,2,3]=>[2,5,1,3,4]=>{{1,2,5},{3},{4}}=>5
[1,4,3,2,5]=>[1,3,4,2,5]=>[2,5,3,4,1]=>{{1,2,5},{3},{4}}=>5
[1,4,3,5,2]=>[1,5,4,3,2]=>[2,1,5,4,3]=>{{1,2},{3,5},{4}}=>5
[1,4,5,2,3]=>[1,5,2,4,3]=>[2,4,1,5,3]=>{{1,2,4,5},{3}}=>2
[1,4,5,3,2]=>[1,3,5,4,2]=>[2,1,3,5,4]=>{{1,2},{3},{4,5}}=>5
[1,5,2,3,4]=>[1,5,2,3,4]=>[2,4,5,1,3]=>{{1,2,4},{3,5}}=>2
[1,5,2,4,3]=>[1,5,4,2,3]=>[2,5,1,4,3]=>{{1,2,5},{3},{4}}=>5
[1,5,3,2,4]=>[1,3,5,2,4]=>[2,5,3,1,4]=>{{1,2,5},{3},{4}}=>5
[1,5,3,4,2]=>[1,4,5,3,2]=>[2,1,5,3,4]=>{{1,2},{3,5},{4}}=>5
[1,5,4,2,3]=>[1,4,2,5,3]=>[2,4,1,3,5]=>{{1,2,4},{3},{5}}=>6
[1,5,4,3,2]=>[1,3,4,5,2]=>[2,1,3,4,5]=>{{1,2},{3},{4},{5}}=>9
[2,1,3,4,5]=>[2,1,3,4,5]=>[3,2,4,5,1]=>{{1,3,4,5},{2}}=>1
[2,1,3,5,4]=>[2,1,3,5,4]=>[3,2,4,1,5]=>{{1,3,4},{2},{5}}=>5
[2,1,4,3,5]=>[2,1,4,3,5]=>[3,2,5,4,1]=>{{1,3,5},{2},{4}}=>4
[2,1,4,5,3]=>[2,1,5,4,3]=>[3,2,1,5,4]=>{{1,3},{2},{4,5}}=>4
[2,1,5,3,4]=>[2,1,5,3,4]=>[3,2,5,1,4]=>{{1,3,5},{2},{4}}=>4
[2,1,5,4,3]=>[2,1,4,5,3]=>[3,2,1,4,5]=>{{1,3},{2},{4},{5}}=>8
[2,3,1,4,5]=>[3,2,1,4,5]=>[4,3,2,5,1]=>{{1,4,5},{2,3}}=>1
[2,3,1,5,4]=>[3,2,1,5,4]=>[4,3,2,1,5]=>{{1,4},{2,3},{5}}=>5
[2,3,4,1,5]=>[4,2,3,1,5]=>[5,3,4,2,1]=>{{1,5},{2,3,4}}=>1
[2,3,4,5,1]=>[5,2,3,4,1]=>[1,3,4,5,2]=>{{1},{2,3,4,5}}=>1
[2,3,5,1,4]=>[5,2,3,1,4]=>[5,3,4,1,2]=>{{1,5},{2,3,4}}=>1
[2,3,5,4,1]=>[4,2,3,5,1]=>[1,3,4,2,5]=>{{1},{2,3,4},{5}}=>5
[2,4,1,3,5]=>[4,2,1,3,5]=>[4,3,5,2,1]=>{{1,4},{2,3,5}}=>1
[2,4,1,5,3]=>[4,2,5,1,3]=>[5,3,1,2,4]=>{{1,5},{2,3},{4}}=>4
[2,4,3,1,5]=>[3,2,4,1,5]=>[5,3,2,4,1]=>{{1,5},{2,3},{4}}=>4
[2,4,3,5,1]=>[5,2,4,3,1]=>[1,3,5,4,2]=>{{1},{2,3,5},{4}}=>4
[2,4,5,1,3]=>[5,2,1,4,3]=>[4,3,1,5,2]=>{{1,4,5},{2,3}}=>1
[2,4,5,3,1]=>[3,2,5,4,1]=>[1,3,2,5,4]=>{{1},{2,3},{4,5}}=>4
[2,5,1,3,4]=>[5,2,1,3,4]=>[4,3,5,1,2]=>{{1,4},{2,3,5}}=>1
[2,5,1,4,3]=>[5,2,4,1,3]=>[5,3,1,4,2]=>{{1,5},{2,3},{4}}=>4
[2,5,3,1,4]=>[3,2,5,1,4]=>[5,3,2,1,4]=>{{1,5},{2,3},{4}}=>4
[2,5,3,4,1]=>[4,2,5,3,1]=>[1,3,5,2,4]=>{{1},{2,3,5},{4}}=>4
[2,5,4,1,3]=>[4,2,1,5,3]=>[4,3,1,2,5]=>{{1,4},{2,3},{5}}=>5
[2,5,4,3,1]=>[3,2,4,5,1]=>[1,3,2,4,5]=>{{1},{2,3},{4},{5}}=>8
[3,1,2,4,5]=>[3,1,2,4,5]=>[3,4,2,5,1]=>{{1,3},{2,4,5}}=>1
[3,1,2,5,4]=>[3,1,2,5,4]=>[3,4,2,1,5]=>{{1,3},{2,4},{5}}=>5
[3,1,4,2,5]=>[3,4,1,2,5]=>[4,5,2,3,1]=>{{1,4},{2,5},{3}}=>3
[3,1,4,5,2]=>[3,5,1,4,2]=>[4,1,2,5,3]=>{{1,4,5},{2},{3}}=>3
[3,1,5,2,4]=>[3,5,1,2,4]=>[4,5,2,1,3]=>{{1,4},{2,5},{3}}=>3
[3,1,5,4,2]=>[3,4,1,5,2]=>[4,1,2,3,5]=>{{1,4},{2},{3},{5}}=>7
[3,2,1,4,5]=>[2,3,1,4,5]=>[4,2,3,5,1]=>{{1,4,5},{2},{3}}=>3
[3,2,1,5,4]=>[2,3,1,5,4]=>[4,2,3,1,5]=>{{1,4},{2},{3},{5}}=>7
[3,2,4,1,5]=>[4,3,2,1,5]=>[5,4,3,2,1]=>{{1,5},{2,4},{3}}=>3
[3,2,4,5,1]=>[5,3,2,4,1]=>[1,4,3,5,2]=>{{1},{2,4,5},{3}}=>3
[3,2,5,1,4]=>[5,3,2,1,4]=>[5,4,3,1,2]=>{{1,5},{2,4},{3}}=>3
[3,2,5,4,1]=>[4,3,2,5,1]=>[1,4,3,2,5]=>{{1},{2,4},{3},{5}}=>7
[3,4,1,2,5]=>[4,1,3,2,5]=>[3,5,4,2,1]=>{{1,3,4},{2,5}}=>1
[3,4,1,5,2]=>[4,5,3,1,2]=>[5,1,4,2,3]=>{{1,5},{2},{3,4}}=>3
[3,4,2,1,5]=>[2,4,3,1,5]=>[5,2,4,3,1]=>{{1,5},{2},{3,4}}=>3
[3,4,2,5,1]=>[5,4,3,2,1]=>[1,5,4,3,2]=>{{1},{2,5},{3,4}}=>3
[3,4,5,1,2]=>[5,1,3,4,2]=>[3,1,4,5,2]=>{{1,3,4,5},{2}}=>1
[3,4,5,2,1]=>[2,5,3,4,1]=>[1,2,4,5,3]=>{{1},{2},{3,4,5}}=>3
[3,5,1,2,4]=>[5,1,3,2,4]=>[3,5,4,1,2]=>{{1,3,4},{2,5}}=>1
[3,5,1,4,2]=>[5,4,3,1,2]=>[5,1,4,3,2]=>{{1,5},{2},{3,4}}=>3
[3,5,2,1,4]=>[2,5,3,1,4]=>[5,2,4,1,3]=>{{1,5},{2},{3,4}}=>3
[3,5,2,4,1]=>[4,5,3,2,1]=>[1,5,4,2,3]=>{{1},{2,5},{3,4}}=>3
[3,5,4,1,2]=>[4,1,3,5,2]=>[3,1,4,2,5]=>{{1,3,4},{2},{5}}=>5
[3,5,4,2,1]=>[2,4,3,5,1]=>[1,2,4,3,5]=>{{1},{2},{3,4},{5}}=>7
[4,1,2,3,5]=>[4,1,2,3,5]=>[3,4,5,2,1]=>{{1,3,5},{2,4}}=>1
[4,1,2,5,3]=>[4,1,5,2,3]=>[3,5,1,2,4]=>{{1,3},{2,5},{4}}=>4
[4,1,3,2,5]=>[4,3,1,2,5]=>[4,5,3,2,1]=>{{1,4},{2,5},{3}}=>3
[4,1,3,5,2]=>[4,5,1,3,2]=>[4,1,5,2,3]=>{{1,4},{2},{3,5}}=>3
[4,1,5,2,3]=>[4,5,2,1,3]=>[5,4,1,2,3]=>{{1,5},{2,4},{3}}=>3
[4,1,5,3,2]=>[4,3,5,1,2]=>[5,1,3,2,4]=>{{1,5},{2},{3},{4}}=>6
[4,2,1,3,5]=>[2,4,1,3,5]=>[4,2,5,3,1]=>{{1,4},{2},{3,5}}=>3
[4,2,1,5,3]=>[2,4,5,1,3]=>[5,2,1,3,4]=>{{1,5},{2},{3},{4}}=>6
[4,2,3,1,5]=>[3,4,2,1,5]=>[5,4,2,3,1]=>{{1,5},{2,4},{3}}=>3
[4,2,3,5,1]=>[5,4,2,3,1]=>[1,4,5,3,2]=>{{1},{2,4},{3,5}}=>3
[4,2,5,1,3]=>[5,4,1,2,3]=>[4,5,1,3,2]=>{{1,4},{2,5},{3}}=>3
[4,2,5,3,1]=>[3,5,4,1,2]=>[5,1,2,4,3]=>{{1,5},{2},{3},{4}}=>6
[4,3,1,2,5]=>[3,1,4,2,5]=>[3,5,2,4,1]=>{{1,3},{2,5},{4}}=>4
[4,3,1,5,2]=>[3,4,5,2,1]=>[1,5,2,3,4]=>{{1},{2,5},{3},{4}}=>6
[4,3,2,1,5]=>[2,3,4,1,5]=>[5,2,3,4,1]=>{{1,5},{2},{3},{4}}=>6
[4,3,2,5,1]=>[5,3,4,2,1]=>[1,5,3,4,2]=>{{1},{2,5},{3},{4}}=>6
[4,3,5,1,2]=>[5,1,4,3,2]=>[3,1,5,4,2]=>{{1,3,5},{2},{4}}=>4
[4,3,5,2,1]=>[2,5,4,3,1]=>[1,2,5,4,3]=>{{1},{2},{3,5},{4}}=>6
[4,5,1,2,3]=>[5,1,2,4,3]=>[3,4,1,5,2]=>{{1,3},{2,4,5}}=>1
[4,5,1,3,2]=>[5,3,1,4,2]=>[4,1,3,5,2]=>{{1,4,5},{2},{3}}=>3
[4,5,2,1,3]=>[2,5,1,4,3]=>[4,2,1,5,3]=>{{1,4,5},{2},{3}}=>3
[4,5,2,3,1]=>[3,5,2,4,1]=>[1,4,2,5,3]=>{{1},{2,4,5},{3}}=>3
[4,5,3,1,2]=>[3,1,5,4,2]=>[3,1,2,5,4]=>{{1,3},{2},{4,5}}=>4
[4,5,3,2,1]=>[2,3,5,4,1]=>[1,2,3,5,4]=>{{1},{2},{3},{4,5}}=>6
[5,1,2,3,4]=>[5,1,2,3,4]=>[3,4,5,1,2]=>{{1,3,5},{2,4}}=>1
[5,1,2,4,3]=>[5,1,4,2,3]=>[3,5,1,4,2]=>{{1,3},{2,5},{4}}=>4
[5,1,3,2,4]=>[5,3,1,2,4]=>[4,5,3,1,2]=>{{1,4},{2,5},{3}}=>3
[5,1,3,4,2]=>[5,4,1,3,2]=>[4,1,5,3,2]=>{{1,4},{2},{3,5}}=>3
[5,1,4,2,3]=>[5,4,2,1,3]=>[5,4,1,3,2]=>{{1,5},{2,4},{3}}=>3
[5,1,4,3,2]=>[5,3,4,1,2]=>[5,1,3,4,2]=>{{1,5},{2},{3},{4}}=>6
[5,2,1,3,4]=>[2,5,1,3,4]=>[4,2,5,1,3]=>{{1,4},{2},{3,5}}=>3
[5,2,1,4,3]=>[2,5,4,1,3]=>[5,2,1,4,3]=>{{1,5},{2},{3},{4}}=>6
[5,2,3,1,4]=>[3,5,2,1,4]=>[5,4,2,1,3]=>{{1,5},{2,4},{3}}=>3
[5,2,3,4,1]=>[4,5,2,3,1]=>[1,4,5,2,3]=>{{1},{2,4},{3,5}}=>3
[5,2,4,1,3]=>[4,5,1,2,3]=>[4,5,1,2,3]=>{{1,4},{2,5},{3}}=>3
[5,2,4,3,1]=>[3,4,5,1,2]=>[5,1,2,3,4]=>{{1,5},{2},{3},{4}}=>6
[5,3,1,2,4]=>[3,1,5,2,4]=>[3,5,2,1,4]=>{{1,3},{2,5},{4}}=>4
[5,3,1,4,2]=>[3,5,4,2,1]=>[1,5,2,4,3]=>{{1},{2,5},{3},{4}}=>6
[5,3,2,1,4]=>[2,3,5,1,4]=>[5,2,3,1,4]=>{{1,5},{2},{3},{4}}=>6
[5,3,2,4,1]=>[4,3,5,2,1]=>[1,5,3,2,4]=>{{1},{2,5},{3},{4}}=>6
[5,3,4,1,2]=>[4,1,5,3,2]=>[3,1,5,2,4]=>{{1,3,5},{2},{4}}=>4
[5,3,4,2,1]=>[2,4,5,3,1]=>[1,2,5,3,4]=>{{1},{2},{3,5},{4}}=>6
[5,4,1,2,3]=>[4,1,2,5,3]=>[3,4,1,2,5]=>{{1,3},{2,4},{5}}=>5
[5,4,1,3,2]=>[4,3,1,5,2]=>[4,1,3,2,5]=>{{1,4},{2},{3},{5}}=>7
[5,4,2,1,3]=>[2,4,1,5,3]=>[4,2,1,3,5]=>{{1,4},{2},{3},{5}}=>7
[5,4,2,3,1]=>[3,4,2,5,1]=>[1,4,2,3,5]=>{{1},{2,4},{3},{5}}=>7
[5,4,3,1,2]=>[3,1,4,5,2]=>[3,1,2,4,5]=>{{1,3},{2},{4},{5}}=>8
[5,4,3,2,1]=>[2,3,4,5,1]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>10
[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[2,3,4,5,6,1]=>{{1,2,3,4,5,6}}=>0
[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>[2,3,4,5,1,6]=>{{1,2,3,4,5},{6}}=>5
[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>[2,3,4,6,5,1]=>{{1,2,3,4,6},{5}}=>4
[1,2,3,5,6,4]=>[1,2,3,6,5,4]=>[2,3,4,1,6,5]=>{{1,2,3,4},{5,6}}=>4
[1,2,3,6,4,5]=>[1,2,3,6,4,5]=>[2,3,4,6,1,5]=>{{1,2,3,4,6},{5}}=>4
[1,2,3,6,5,4]=>[1,2,3,5,6,4]=>[2,3,4,1,5,6]=>{{1,2,3,4},{5},{6}}=>9
[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>[2,3,5,4,6,1]=>{{1,2,3,5,6},{4}}=>3
[1,2,4,3,6,5]=>[1,2,4,3,6,5]=>[2,3,5,4,1,6]=>{{1,2,3,5},{4},{6}}=>8
[1,2,4,5,3,6]=>[1,2,5,4,3,6]=>[2,3,6,5,4,1]=>{{1,2,3,6},{4,5}}=>3
[1,2,4,5,6,3]=>[1,2,6,4,5,3]=>[2,3,1,5,6,4]=>{{1,2,3},{4,5,6}}=>3
[1,2,4,6,3,5]=>[1,2,6,4,3,5]=>[2,3,6,5,1,4]=>{{1,2,3,6},{4,5}}=>3
[1,2,4,6,5,3]=>[1,2,5,4,6,3]=>[2,3,1,5,4,6]=>{{1,2,3},{4,5},{6}}=>8
[1,2,5,3,4,6]=>[1,2,5,3,4,6]=>[2,3,5,6,4,1]=>{{1,2,3,5},{4,6}}=>3
[1,2,5,3,6,4]=>[1,2,5,6,3,4]=>[2,3,6,1,4,5]=>{{1,2,3,6},{4},{5}}=>7
[1,2,5,4,3,6]=>[1,2,4,5,3,6]=>[2,3,6,4,5,1]=>{{1,2,3,6},{4},{5}}=>7
[1,2,5,4,6,3]=>[1,2,6,5,4,3]=>[2,3,1,6,5,4]=>{{1,2,3},{4,6},{5}}=>7
[1,2,5,6,3,4]=>[1,2,6,3,5,4]=>[2,3,5,1,6,4]=>{{1,2,3,5,6},{4}}=>3
[1,2,5,6,4,3]=>[1,2,4,6,5,3]=>[2,3,1,4,6,5]=>{{1,2,3},{4},{5,6}}=>7
[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>[2,3,5,6,1,4]=>{{1,2,3,5},{4,6}}=>3
[1,2,6,3,5,4]=>[1,2,6,5,3,4]=>[2,3,6,1,5,4]=>{{1,2,3,6},{4},{5}}=>7
[1,2,6,4,3,5]=>[1,2,4,6,3,5]=>[2,3,6,4,1,5]=>{{1,2,3,6},{4},{5}}=>7
[1,2,6,4,5,3]=>[1,2,5,6,4,3]=>[2,3,1,6,4,5]=>{{1,2,3},{4,6},{5}}=>7
[1,2,6,5,3,4]=>[1,2,5,3,6,4]=>[2,3,5,1,4,6]=>{{1,2,3,5},{4},{6}}=>8
[1,2,6,5,4,3]=>[1,2,4,5,6,3]=>[2,3,1,4,5,6]=>{{1,2,3},{4},{5},{6}}=>12
[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>[2,4,3,5,6,1]=>{{1,2,4,5,6},{3}}=>2
[1,3,2,4,6,5]=>[1,3,2,4,6,5]=>[2,4,3,5,1,6]=>{{1,2,4,5},{3},{6}}=>7
[1,3,2,5,4,6]=>[1,3,2,5,4,6]=>[2,4,3,6,5,1]=>{{1,2,4,6},{3},{5}}=>6
[1,3,2,5,6,4]=>[1,3,2,6,5,4]=>[2,4,3,1,6,5]=>{{1,2,4},{3},{5,6}}=>6
[1,3,2,6,4,5]=>[1,3,2,6,4,5]=>[2,4,3,6,1,5]=>{{1,2,4,6},{3},{5}}=>6
[1,3,2,6,5,4]=>[1,3,2,5,6,4]=>[2,4,3,1,5,6]=>{{1,2,4},{3},{5},{6}}=>11
[1,3,4,2,5,6]=>[1,4,3,2,5,6]=>[2,5,4,3,6,1]=>{{1,2,5,6},{3,4}}=>2
[1,3,4,2,6,5]=>[1,4,3,2,6,5]=>[2,5,4,3,1,6]=>{{1,2,5},{3,4},{6}}=>7
[1,3,4,5,2,6]=>[1,5,3,4,2,6]=>[2,6,4,5,3,1]=>{{1,2,6},{3,4,5}}=>2
[1,3,4,5,6,2]=>[1,6,3,4,5,2]=>[2,1,4,5,6,3]=>{{1,2},{3,4,5,6}}=>2
[1,3,4,6,2,5]=>[1,6,3,4,2,5]=>[2,6,4,5,1,3]=>{{1,2,6},{3,4,5}}=>2
[1,3,4,6,5,2]=>[1,5,3,4,6,2]=>[2,1,4,5,3,6]=>{{1,2},{3,4,5},{6}}=>7
[1,3,5,2,4,6]=>[1,5,3,2,4,6]=>[2,5,4,6,3,1]=>{{1,2,5},{3,4,6}}=>2
[1,3,5,2,6,4]=>[1,5,3,6,2,4]=>[2,6,4,1,3,5]=>{{1,2,6},{3,4},{5}}=>6
[1,3,5,4,2,6]=>[1,4,3,5,2,6]=>[2,6,4,3,5,1]=>{{1,2,6},{3,4},{5}}=>6
[1,3,5,4,6,2]=>[1,6,3,5,4,2]=>[2,1,4,6,5,3]=>{{1,2},{3,4,6},{5}}=>6
[1,3,5,6,2,4]=>[1,6,3,2,5,4]=>[2,5,4,1,6,3]=>{{1,2,5,6},{3,4}}=>2
[1,3,5,6,4,2]=>[1,4,3,6,5,2]=>[2,1,4,3,6,5]=>{{1,2},{3,4},{5,6}}=>6
[1,3,6,2,4,5]=>[1,6,3,2,4,5]=>[2,5,4,6,1,3]=>{{1,2,5},{3,4,6}}=>2
[1,3,6,2,5,4]=>[1,6,3,5,2,4]=>[2,6,4,1,5,3]=>{{1,2,6},{3,4},{5}}=>6
[1,3,6,4,2,5]=>[1,4,3,6,2,5]=>[2,6,4,3,1,5]=>{{1,2,6},{3,4},{5}}=>6
[1,3,6,4,5,2]=>[1,5,3,6,4,2]=>[2,1,4,6,3,5]=>{{1,2},{3,4,6},{5}}=>6
[1,3,6,5,2,4]=>[1,5,3,2,6,4]=>[2,5,4,1,3,6]=>{{1,2,5},{3,4},{6}}=>7
[1,3,6,5,4,2]=>[1,4,3,5,6,2]=>[2,1,4,3,5,6]=>{{1,2},{3,4},{5},{6}}=>11
[1,4,2,3,5,6]=>[1,4,2,3,5,6]=>[2,4,5,3,6,1]=>{{1,2,4},{3,5,6}}=>2
[1,4,2,3,6,5]=>[1,4,2,3,6,5]=>[2,4,5,3,1,6]=>{{1,2,4},{3,5},{6}}=>7
[1,4,2,5,3,6]=>[1,4,5,2,3,6]=>[2,5,6,3,4,1]=>{{1,2,5},{3,6},{4}}=>5
[1,4,2,5,6,3]=>[1,4,6,2,5,3]=>[2,5,1,3,6,4]=>{{1,2,5,6},{3},{4}}=>5
[1,4,2,6,3,5]=>[1,4,6,2,3,5]=>[2,5,6,3,1,4]=>{{1,2,5},{3,6},{4}}=>5
[1,4,2,6,5,3]=>[1,4,5,2,6,3]=>[2,5,1,3,4,6]=>{{1,2,5},{3},{4},{6}}=>10
[1,4,3,2,5,6]=>[1,3,4,2,5,6]=>[2,5,3,4,6,1]=>{{1,2,5,6},{3},{4}}=>5
[1,4,3,2,6,5]=>[1,3,4,2,6,5]=>[2,5,3,4,1,6]=>{{1,2,5},{3},{4},{6}}=>10
[1,4,3,5,2,6]=>[1,5,4,3,2,6]=>[2,6,5,4,3,1]=>{{1,2,6},{3,5},{4}}=>5
[1,4,3,5,6,2]=>[1,6,4,3,5,2]=>[2,1,5,4,6,3]=>{{1,2},{3,5,6},{4}}=>5
[1,4,3,6,2,5]=>[1,6,4,3,2,5]=>[2,6,5,4,1,3]=>{{1,2,6},{3,5},{4}}=>5
[1,4,3,6,5,2]=>[1,5,4,3,6,2]=>[2,1,5,4,3,6]=>{{1,2},{3,5},{4},{6}}=>10
[1,4,5,2,3,6]=>[1,5,2,4,3,6]=>[2,4,6,5,3,1]=>{{1,2,4,5},{3,6}}=>2
[1,4,5,2,6,3]=>[1,5,6,4,2,3]=>[2,6,1,5,3,4]=>{{1,2,6},{3},{4,5}}=>5
[1,4,5,3,2,6]=>[1,3,5,4,2,6]=>[2,6,3,5,4,1]=>{{1,2,6},{3},{4,5}}=>5
[1,4,5,3,6,2]=>[1,6,5,4,3,2]=>[2,1,6,5,4,3]=>{{1,2},{3,6},{4,5}}=>5
[1,4,5,6,2,3]=>[1,6,2,4,5,3]=>[2,4,1,5,6,3]=>{{1,2,4,5,6},{3}}=>2
[1,4,5,6,3,2]=>[1,3,6,4,5,2]=>[2,1,3,5,6,4]=>{{1,2},{3},{4,5,6}}=>5
[1,4,6,2,3,5]=>[1,6,2,4,3,5]=>[2,4,6,5,1,3]=>{{1,2,4,5},{3,6}}=>2
[1,4,6,2,5,3]=>[1,6,5,4,2,3]=>[2,6,1,5,4,3]=>{{1,2,6},{3},{4,5}}=>5
[1,4,6,3,2,5]=>[1,3,6,4,2,5]=>[2,6,3,5,1,4]=>{{1,2,6},{3},{4,5}}=>5
[1,4,6,3,5,2]=>[1,5,6,4,3,2]=>[2,1,6,5,3,4]=>{{1,2},{3,6},{4,5}}=>5
[1,4,6,5,2,3]=>[1,5,2,4,6,3]=>[2,4,1,5,3,6]=>{{1,2,4,5},{3},{6}}=>7
[1,4,6,5,3,2]=>[1,3,5,4,6,2]=>[2,1,3,5,4,6]=>{{1,2},{3},{4,5},{6}}=>10
[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>[2,4,5,6,3,1]=>{{1,2,4,6},{3,5}}=>2
[1,5,2,3,6,4]=>[1,5,2,6,3,4]=>[2,4,6,1,3,5]=>{{1,2,4},{3,6},{5}}=>6
[1,5,2,4,3,6]=>[1,5,4,2,3,6]=>[2,5,6,4,3,1]=>{{1,2,5},{3,6},{4}}=>5
[1,5,2,4,6,3]=>[1,5,6,2,4,3]=>[2,5,1,6,3,4]=>{{1,2,5},{3},{4,6}}=>5
[1,5,2,6,3,4]=>[1,5,6,3,2,4]=>[2,6,5,1,3,4]=>{{1,2,6},{3,5},{4}}=>5
[1,5,2,6,4,3]=>[1,5,4,6,2,3]=>[2,6,1,4,3,5]=>{{1,2,6},{3},{4},{5}}=>9
[1,5,3,2,4,6]=>[1,3,5,2,4,6]=>[2,5,3,6,4,1]=>{{1,2,5},{3},{4,6}}=>5
[1,5,3,2,6,4]=>[1,3,5,6,2,4]=>[2,6,3,1,4,5]=>{{1,2,6},{3},{4},{5}}=>9
[1,5,3,4,2,6]=>[1,4,5,3,2,6]=>[2,6,5,3,4,1]=>{{1,2,6},{3,5},{4}}=>5
[1,5,3,4,6,2]=>[1,6,5,3,4,2]=>[2,1,5,6,4,3]=>{{1,2},{3,5},{4,6}}=>5
[1,5,3,6,2,4]=>[1,6,5,2,3,4]=>[2,5,6,1,4,3]=>{{1,2,5},{3,6},{4}}=>5
[1,5,3,6,4,2]=>[1,4,6,5,2,3]=>[2,6,1,3,5,4]=>{{1,2,6},{3},{4},{5}}=>9
[1,5,4,2,3,6]=>[1,4,2,5,3,6]=>[2,4,6,3,5,1]=>{{1,2,4},{3,6},{5}}=>6
[1,5,4,2,6,3]=>[1,4,5,6,3,2]=>[2,1,6,3,4,5]=>{{1,2},{3,6},{4},{5}}=>9
[1,5,4,3,2,6]=>[1,3,4,5,2,6]=>[2,6,3,4,5,1]=>{{1,2,6},{3},{4},{5}}=>9
[1,5,4,3,6,2]=>[1,6,4,5,3,2]=>[2,1,6,4,5,3]=>{{1,2},{3,6},{4},{5}}=>9
[1,5,4,6,2,3]=>[1,6,2,5,4,3]=>[2,4,1,6,5,3]=>{{1,2,4,6},{3},{5}}=>6
[1,5,4,6,3,2]=>[1,3,6,5,4,2]=>[2,1,3,6,5,4]=>{{1,2},{3},{4,6},{5}}=>9
[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>[2,4,5,1,6,3]=>{{1,2,4},{3,5,6}}=>2
[1,5,6,2,4,3]=>[1,6,4,2,5,3]=>[2,5,1,4,6,3]=>{{1,2,5,6},{3},{4}}=>5
[1,5,6,3,2,4]=>[1,3,6,2,5,4]=>[2,5,3,1,6,4]=>{{1,2,5,6},{3},{4}}=>5
[1,5,6,3,4,2]=>[1,4,6,3,5,2]=>[2,1,5,3,6,4]=>{{1,2},{3,5,6},{4}}=>5
[1,5,6,4,2,3]=>[1,4,2,6,5,3]=>[2,4,1,3,6,5]=>{{1,2,4},{3},{5,6}}=>6
[1,5,6,4,3,2]=>[1,3,4,6,5,2]=>[2,1,3,4,6,5]=>{{1,2},{3},{4},{5,6}}=>9
[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>[2,4,5,6,1,3]=>{{1,2,4,6},{3,5}}=>2
[1,6,2,3,5,4]=>[1,6,2,5,3,4]=>[2,4,6,1,5,3]=>{{1,2,4},{3,6},{5}}=>6
[1,6,2,4,3,5]=>[1,6,4,2,3,5]=>[2,5,6,4,1,3]=>{{1,2,5},{3,6},{4}}=>5
[1,6,2,4,5,3]=>[1,6,5,2,4,3]=>[2,5,1,6,4,3]=>{{1,2,5},{3},{4,6}}=>5
[1,6,2,5,3,4]=>[1,6,5,3,2,4]=>[2,6,5,1,4,3]=>{{1,2,6},{3,5},{4}}=>5
[1,6,2,5,4,3]=>[1,6,4,5,2,3]=>[2,6,1,4,5,3]=>{{1,2,6},{3},{4},{5}}=>9
[1,6,3,2,4,5]=>[1,3,6,2,4,5]=>[2,5,3,6,1,4]=>{{1,2,5},{3},{4,6}}=>5
[1,6,3,2,5,4]=>[1,3,6,5,2,4]=>[2,6,3,1,5,4]=>{{1,2,6},{3},{4},{5}}=>9
[1,6,3,4,2,5]=>[1,4,6,3,2,5]=>[2,6,5,3,1,4]=>{{1,2,6},{3,5},{4}}=>5
[1,6,3,4,5,2]=>[1,5,6,3,4,2]=>[2,1,5,6,3,4]=>{{1,2},{3,5},{4,6}}=>5
[1,6,3,5,2,4]=>[1,5,6,2,3,4]=>[2,5,6,1,3,4]=>{{1,2,5},{3,6},{4}}=>5
[1,6,3,5,4,2]=>[1,4,5,6,2,3]=>[2,6,1,3,4,5]=>{{1,2,6},{3},{4},{5}}=>9
[1,6,4,2,3,5]=>[1,4,2,6,3,5]=>[2,4,6,3,1,5]=>{{1,2,4},{3,6},{5}}=>6
[1,6,4,2,5,3]=>[1,4,6,5,3,2]=>[2,1,6,3,5,4]=>{{1,2},{3,6},{4},{5}}=>9
[1,6,4,3,2,5]=>[1,3,4,6,2,5]=>[2,6,3,4,1,5]=>{{1,2,6},{3},{4},{5}}=>9
[1,6,4,3,5,2]=>[1,5,4,6,3,2]=>[2,1,6,4,3,5]=>{{1,2},{3,6},{4},{5}}=>9
[1,6,4,5,2,3]=>[1,5,2,6,4,3]=>[2,4,1,6,3,5]=>{{1,2,4,6},{3},{5}}=>6
[1,6,4,5,3,2]=>[1,3,5,6,4,2]=>[2,1,3,6,4,5]=>{{1,2},{3},{4,6},{5}}=>9
[1,6,5,2,3,4]=>[1,5,2,3,6,4]=>[2,4,5,1,3,6]=>{{1,2,4},{3,5},{6}}=>7
[1,6,5,2,4,3]=>[1,5,4,2,6,3]=>[2,5,1,4,3,6]=>{{1,2,5},{3},{4},{6}}=>10
[1,6,5,3,2,4]=>[1,3,5,2,6,4]=>[2,5,3,1,4,6]=>{{1,2,5},{3},{4},{6}}=>10
[1,6,5,3,4,2]=>[1,4,5,3,6,2]=>[2,1,5,3,4,6]=>{{1,2},{3,5},{4},{6}}=>10
[1,6,5,4,2,3]=>[1,4,2,5,6,3]=>[2,4,1,3,5,6]=>{{1,2,4},{3},{5},{6}}=>11
[1,6,5,4,3,2]=>[1,3,4,5,6,2]=>[2,1,3,4,5,6]=>{{1,2},{3},{4},{5},{6}}=>14
[2,1,3,4,5,6]=>[2,1,3,4,5,6]=>[3,2,4,5,6,1]=>{{1,3,4,5,6},{2}}=>1
[2,1,3,4,6,5]=>[2,1,3,4,6,5]=>[3,2,4,5,1,6]=>{{1,3,4,5},{2},{6}}=>6
[2,1,3,5,4,6]=>[2,1,3,5,4,6]=>[3,2,4,6,5,1]=>{{1,3,4,6},{2},{5}}=>5
[2,1,3,5,6,4]=>[2,1,3,6,5,4]=>[3,2,4,1,6,5]=>{{1,3,4},{2},{5,6}}=>5
[2,1,3,6,4,5]=>[2,1,3,6,4,5]=>[3,2,4,6,1,5]=>{{1,3,4,6},{2},{5}}=>5
[2,1,3,6,5,4]=>[2,1,3,5,6,4]=>[3,2,4,1,5,6]=>{{1,3,4},{2},{5},{6}}=>10
[2,1,4,3,5,6]=>[2,1,4,3,5,6]=>[3,2,5,4,6,1]=>{{1,3,5,6},{2},{4}}=>4
[2,1,4,3,6,5]=>[2,1,4,3,6,5]=>[3,2,5,4,1,6]=>{{1,3,5},{2},{4},{6}}=>9
[2,1,4,5,3,6]=>[2,1,5,4,3,6]=>[3,2,6,5,4,1]=>{{1,3,6},{2},{4,5}}=>4
[2,1,4,5,6,3]=>[2,1,6,4,5,3]=>[3,2,1,5,6,4]=>{{1,3},{2},{4,5,6}}=>4
[2,1,4,6,3,5]=>[2,1,6,4,3,5]=>[3,2,6,5,1,4]=>{{1,3,6},{2},{4,5}}=>4
[2,1,4,6,5,3]=>[2,1,5,4,6,3]=>[3,2,1,5,4,6]=>{{1,3},{2},{4,5},{6}}=>9
[2,1,5,3,4,6]=>[2,1,5,3,4,6]=>[3,2,5,6,4,1]=>{{1,3,5},{2},{4,6}}=>4
[2,1,5,3,6,4]=>[2,1,5,6,3,4]=>[3,2,6,1,4,5]=>{{1,3,6},{2},{4},{5}}=>8
[2,1,5,4,3,6]=>[2,1,4,5,3,6]=>[3,2,6,4,5,1]=>{{1,3,6},{2},{4},{5}}=>8
[2,1,5,4,6,3]=>[2,1,6,5,4,3]=>[3,2,1,6,5,4]=>{{1,3},{2},{4,6},{5}}=>8
[2,1,5,6,3,4]=>[2,1,6,3,5,4]=>[3,2,5,1,6,4]=>{{1,3,5,6},{2},{4}}=>4
[2,1,5,6,4,3]=>[2,1,4,6,5,3]=>[3,2,1,4,6,5]=>{{1,3},{2},{4},{5,6}}=>8
[2,1,6,3,4,5]=>[2,1,6,3,4,5]=>[3,2,5,6,1,4]=>{{1,3,5},{2},{4,6}}=>4
[2,1,6,3,5,4]=>[2,1,6,5,3,4]=>[3,2,6,1,5,4]=>{{1,3,6},{2},{4},{5}}=>8
[2,1,6,4,3,5]=>[2,1,4,6,3,5]=>[3,2,6,4,1,5]=>{{1,3,6},{2},{4},{5}}=>8
[2,1,6,4,5,3]=>[2,1,5,6,4,3]=>[3,2,1,6,4,5]=>{{1,3},{2},{4,6},{5}}=>8
[2,1,6,5,3,4]=>[2,1,5,3,6,4]=>[3,2,5,1,4,6]=>{{1,3,5},{2},{4},{6}}=>9
[2,1,6,5,4,3]=>[2,1,4,5,6,3]=>[3,2,1,4,5,6]=>{{1,3},{2},{4},{5},{6}}=>13
[2,3,1,4,5,6]=>[3,2,1,4,5,6]=>[4,3,2,5,6,1]=>{{1,4,5,6},{2,3}}=>1
[2,3,1,4,6,5]=>[3,2,1,4,6,5]=>[4,3,2,5,1,6]=>{{1,4,5},{2,3},{6}}=>6
[2,3,1,5,4,6]=>[3,2,1,5,4,6]=>[4,3,2,6,5,1]=>{{1,4,6},{2,3},{5}}=>5
[2,3,1,5,6,4]=>[3,2,1,6,5,4]=>[4,3,2,1,6,5]=>{{1,4},{2,3},{5,6}}=>5
[2,3,1,6,4,5]=>[3,2,1,6,4,5]=>[4,3,2,6,1,5]=>{{1,4,6},{2,3},{5}}=>5
[2,3,1,6,5,4]=>[3,2,1,5,6,4]=>[4,3,2,1,5,6]=>{{1,4},{2,3},{5},{6}}=>10
[2,3,4,1,5,6]=>[4,2,3,1,5,6]=>[5,3,4,2,6,1]=>{{1,5,6},{2,3,4}}=>1
[2,3,4,1,6,5]=>[4,2,3,1,6,5]=>[5,3,4,2,1,6]=>{{1,5},{2,3,4},{6}}=>6
[2,3,4,5,1,6]=>[5,2,3,4,1,6]=>[6,3,4,5,2,1]=>{{1,6},{2,3,4,5}}=>1
[2,3,4,5,6,1]=>[6,2,3,4,5,1]=>[1,3,4,5,6,2]=>{{1},{2,3,4,5,6}}=>1
[2,3,4,6,1,5]=>[6,2,3,4,1,5]=>[6,3,4,5,1,2]=>{{1,6},{2,3,4,5}}=>1
[2,3,4,6,5,1]=>[5,2,3,4,6,1]=>[1,3,4,5,2,6]=>{{1},{2,3,4,5},{6}}=>6
[2,3,5,1,4,6]=>[5,2,3,1,4,6]=>[5,3,4,6,2,1]=>{{1,5},{2,3,4,6}}=>1
[2,3,5,1,6,4]=>[5,2,3,6,1,4]=>[6,3,4,1,2,5]=>{{1,6},{2,3,4},{5}}=>5
[2,3,5,4,1,6]=>[4,2,3,5,1,6]=>[6,3,4,2,5,1]=>{{1,6},{2,3,4},{5}}=>5
[2,3,5,4,6,1]=>[6,2,3,5,4,1]=>[1,3,4,6,5,2]=>{{1},{2,3,4,6},{5}}=>5
[2,3,5,6,1,4]=>[6,2,3,1,5,4]=>[5,3,4,1,6,2]=>{{1,5,6},{2,3,4}}=>1
[2,3,5,6,4,1]=>[4,2,3,6,5,1]=>[1,3,4,2,6,5]=>{{1},{2,3,4},{5,6}}=>5
[2,3,6,1,4,5]=>[6,2,3,1,4,5]=>[5,3,4,6,1,2]=>{{1,5},{2,3,4,6}}=>1
[2,3,6,1,5,4]=>[6,2,3,5,1,4]=>[6,3,4,1,5,2]=>{{1,6},{2,3,4},{5}}=>5
[2,3,6,4,1,5]=>[4,2,3,6,1,5]=>[6,3,4,2,1,5]=>{{1,6},{2,3,4},{5}}=>5
[2,3,6,4,5,1]=>[5,2,3,6,4,1]=>[1,3,4,6,2,5]=>{{1},{2,3,4,6},{5}}=>5
[2,3,6,5,1,4]=>[5,2,3,1,6,4]=>[5,3,4,1,2,6]=>{{1,5},{2,3,4},{6}}=>6
[2,3,6,5,4,1]=>[4,2,3,5,6,1]=>[1,3,4,2,5,6]=>{{1},{2,3,4},{5},{6}}=>10
[2,4,1,3,5,6]=>[4,2,1,3,5,6]=>[4,3,5,2,6,1]=>{{1,4},{2,3,5,6}}=>1
[2,4,1,3,6,5]=>[4,2,1,3,6,5]=>[4,3,5,2,1,6]=>{{1,4},{2,3,5},{6}}=>6
[2,4,1,5,3,6]=>[4,2,5,1,3,6]=>[5,3,6,2,4,1]=>{{1,5},{2,3,6},{4}}=>4
[2,4,1,5,6,3]=>[4,2,6,1,5,3]=>[5,3,1,2,6,4]=>{{1,5,6},{2,3},{4}}=>4
[2,4,1,6,3,5]=>[4,2,6,1,3,5]=>[5,3,6,2,1,4]=>{{1,5},{2,3,6},{4}}=>4
[2,4,1,6,5,3]=>[4,2,5,1,6,3]=>[5,3,1,2,4,6]=>{{1,5},{2,3},{4},{6}}=>9
[2,4,3,1,5,6]=>[3,2,4,1,5,6]=>[5,3,2,4,6,1]=>{{1,5,6},{2,3},{4}}=>4
[2,4,3,1,6,5]=>[3,2,4,1,6,5]=>[5,3,2,4,1,6]=>{{1,5},{2,3},{4},{6}}=>9
[2,4,3,5,1,6]=>[5,2,4,3,1,6]=>[6,3,5,4,2,1]=>{{1,6},{2,3,5},{4}}=>4
[2,4,3,5,6,1]=>[6,2,4,3,5,1]=>[1,3,5,4,6,2]=>{{1},{2,3,5,6},{4}}=>4
[2,4,3,6,1,5]=>[6,2,4,3,1,5]=>[6,3,5,4,1,2]=>{{1,6},{2,3,5},{4}}=>4
[2,4,3,6,5,1]=>[5,2,4,3,6,1]=>[1,3,5,4,2,6]=>{{1},{2,3,5},{4},{6}}=>9
[2,4,5,1,3,6]=>[5,2,1,4,3,6]=>[4,3,6,5,2,1]=>{{1,4,5},{2,3,6}}=>1
[2,4,5,1,6,3]=>[5,2,6,4,1,3]=>[6,3,1,5,2,4]=>{{1,6},{2,3},{4,5}}=>4
[2,4,5,3,1,6]=>[3,2,5,4,1,6]=>[6,3,2,5,4,1]=>{{1,6},{2,3},{4,5}}=>4
[2,4,5,3,6,1]=>[6,2,5,4,3,1]=>[1,3,6,5,4,2]=>{{1},{2,3,6},{4,5}}=>4
[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>[4,3,1,5,6,2]=>{{1,4,5,6},{2,3}}=>1
[2,4,5,6,3,1]=>[3,2,6,4,5,1]=>[1,3,2,5,6,4]=>{{1},{2,3},{4,5,6}}=>4
[2,4,6,1,3,5]=>[6,2,1,4,3,5]=>[4,3,6,5,1,2]=>{{1,4,5},{2,3,6}}=>1
[2,4,6,1,5,3]=>[6,2,5,4,1,3]=>[6,3,1,5,4,2]=>{{1,6},{2,3},{4,5}}=>4
[2,4,6,3,1,5]=>[3,2,6,4,1,5]=>[6,3,2,5,1,4]=>{{1,6},{2,3},{4,5}}=>4
[2,4,6,3,5,1]=>[5,2,6,4,3,1]=>[1,3,6,5,2,4]=>{{1},{2,3,6},{4,5}}=>4
[2,4,6,5,1,3]=>[5,2,1,4,6,3]=>[4,3,1,5,2,6]=>{{1,4,5},{2,3},{6}}=>6
[2,4,6,5,3,1]=>[3,2,5,4,6,1]=>[1,3,2,5,4,6]=>{{1},{2,3},{4,5},{6}}=>9
[2,5,1,3,4,6]=>[5,2,1,3,4,6]=>[4,3,5,6,2,1]=>{{1,4,6},{2,3,5}}=>1
[2,5,1,3,6,4]=>[5,2,1,6,3,4]=>[4,3,6,1,2,5]=>{{1,4},{2,3,6},{5}}=>5
[2,5,1,4,3,6]=>[5,2,4,1,3,6]=>[5,3,6,4,2,1]=>{{1,5},{2,3,6},{4}}=>4
[2,5,1,4,6,3]=>[5,2,6,1,4,3]=>[5,3,1,6,2,4]=>{{1,5},{2,3},{4,6}}=>4
[2,5,1,6,3,4]=>[5,2,6,3,1,4]=>[6,3,5,1,2,4]=>{{1,6},{2,3,5},{4}}=>4
[2,5,1,6,4,3]=>[5,2,4,6,1,3]=>[6,3,1,4,2,5]=>{{1,6},{2,3},{4},{5}}=>8
[2,5,3,1,4,6]=>[3,2,5,1,4,6]=>[5,3,2,6,4,1]=>{{1,5},{2,3},{4,6}}=>4
[2,5,3,1,6,4]=>[3,2,5,6,1,4]=>[6,3,2,1,4,5]=>{{1,6},{2,3},{4},{5}}=>8
[2,5,3,4,1,6]=>[4,2,5,3,1,6]=>[6,3,5,2,4,1]=>{{1,6},{2,3,5},{4}}=>4
[2,5,3,4,6,1]=>[6,2,5,3,4,1]=>[1,3,5,6,4,2]=>{{1},{2,3,5},{4,6}}=>4
[2,5,3,6,1,4]=>[6,2,5,1,3,4]=>[5,3,6,1,4,2]=>{{1,5},{2,3,6},{4}}=>4
[2,5,3,6,4,1]=>[4,2,6,5,1,3]=>[6,3,1,2,5,4]=>{{1,6},{2,3},{4},{5}}=>8
[2,5,4,1,3,6]=>[4,2,1,5,3,6]=>[4,3,6,2,5,1]=>{{1,4},{2,3,6},{5}}=>5
[2,5,4,1,6,3]=>[4,2,5,6,3,1]=>[1,3,6,2,4,5]=>{{1},{2,3,6},{4},{5}}=>8
[2,5,4,3,1,6]=>[3,2,4,5,1,6]=>[6,3,2,4,5,1]=>{{1,6},{2,3},{4},{5}}=>8
[2,5,4,3,6,1]=>[6,2,4,5,3,1]=>[1,3,6,4,5,2]=>{{1},{2,3,6},{4},{5}}=>8
[2,5,4,6,1,3]=>[6,2,1,5,4,3]=>[4,3,1,6,5,2]=>{{1,4,6},{2,3},{5}}=>5
[2,5,4,6,3,1]=>[3,2,6,5,4,1]=>[1,3,2,6,5,4]=>{{1},{2,3},{4,6},{5}}=>8
[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>[4,3,5,1,6,2]=>{{1,4},{2,3,5,6}}=>1
[2,5,6,1,4,3]=>[6,2,4,1,5,3]=>[5,3,1,4,6,2]=>{{1,5,6},{2,3},{4}}=>4
[2,5,6,3,1,4]=>[3,2,6,1,5,4]=>[5,3,2,1,6,4]=>{{1,5,6},{2,3},{4}}=>4
[2,5,6,3,4,1]=>[4,2,6,3,5,1]=>[1,3,5,2,6,4]=>{{1},{2,3,5,6},{4}}=>4
[2,5,6,4,1,3]=>[4,2,1,6,5,3]=>[4,3,1,2,6,5]=>{{1,4},{2,3},{5,6}}=>5
[2,5,6,4,3,1]=>[3,2,4,6,5,1]=>[1,3,2,4,6,5]=>{{1},{2,3},{4},{5,6}}=>8
[2,6,1,3,4,5]=>[6,2,1,3,4,5]=>[4,3,5,6,1,2]=>{{1,4,6},{2,3,5}}=>1
[2,6,1,3,5,4]=>[6,2,1,5,3,4]=>[4,3,6,1,5,2]=>{{1,4},{2,3,6},{5}}=>5
[2,6,1,4,3,5]=>[6,2,4,1,3,5]=>[5,3,6,4,1,2]=>{{1,5},{2,3,6},{4}}=>4
[2,6,1,4,5,3]=>[6,2,5,1,4,3]=>[5,3,1,6,4,2]=>{{1,5},{2,3},{4,6}}=>4
[2,6,1,5,3,4]=>[6,2,5,3,1,4]=>[6,3,5,1,4,2]=>{{1,6},{2,3,5},{4}}=>4
[2,6,1,5,4,3]=>[6,2,4,5,1,3]=>[6,3,1,4,5,2]=>{{1,6},{2,3},{4},{5}}=>8
[2,6,3,1,4,5]=>[3,2,6,1,4,5]=>[5,3,2,6,1,4]=>{{1,5},{2,3},{4,6}}=>4
[2,6,3,1,5,4]=>[3,2,6,5,1,4]=>[6,3,2,1,5,4]=>{{1,6},{2,3},{4},{5}}=>8
[2,6,3,4,1,5]=>[4,2,6,3,1,5]=>[6,3,5,2,1,4]=>{{1,6},{2,3,5},{4}}=>4
[2,6,3,4,5,1]=>[5,2,6,3,4,1]=>[1,3,5,6,2,4]=>{{1},{2,3,5},{4,6}}=>4
[2,6,3,5,1,4]=>[5,2,6,1,3,4]=>[5,3,6,1,2,4]=>{{1,5},{2,3,6},{4}}=>4
[2,6,3,5,4,1]=>[4,2,5,6,1,3]=>[6,3,1,2,4,5]=>{{1,6},{2,3},{4},{5}}=>8
[2,6,4,1,3,5]=>[4,2,1,6,3,5]=>[4,3,6,2,1,5]=>{{1,4},{2,3,6},{5}}=>5
[2,6,4,1,5,3]=>[4,2,6,5,3,1]=>[1,3,6,2,5,4]=>{{1},{2,3,6},{4},{5}}=>8
[2,6,4,3,1,5]=>[3,2,4,6,1,5]=>[6,3,2,4,1,5]=>{{1,6},{2,3},{4},{5}}=>8
[2,6,4,3,5,1]=>[5,2,4,6,3,1]=>[1,3,6,4,2,5]=>{{1},{2,3,6},{4},{5}}=>8
[2,6,4,5,1,3]=>[5,2,1,6,4,3]=>[4,3,1,6,2,5]=>{{1,4,6},{2,3},{5}}=>5
[2,6,4,5,3,1]=>[3,2,5,6,4,1]=>[1,3,2,6,4,5]=>{{1},{2,3},{4,6},{5}}=>8
[2,6,5,1,3,4]=>[5,2,1,3,6,4]=>[4,3,5,1,2,6]=>{{1,4},{2,3,5},{6}}=>6
[2,6,5,1,4,3]=>[5,2,4,1,6,3]=>[5,3,1,4,2,6]=>{{1,5},{2,3},{4},{6}}=>9
[2,6,5,3,1,4]=>[3,2,5,1,6,4]=>[5,3,2,1,4,6]=>{{1,5},{2,3},{4},{6}}=>9
[2,6,5,3,4,1]=>[4,2,5,3,6,1]=>[1,3,5,2,4,6]=>{{1},{2,3,5},{4},{6}}=>9
[2,6,5,4,1,3]=>[4,2,1,5,6,3]=>[4,3,1,2,5,6]=>{{1,4},{2,3},{5},{6}}=>10
[2,6,5,4,3,1]=>[3,2,4,5,6,1]=>[1,3,2,4,5,6]=>{{1},{2,3},{4},{5},{6}}=>13
[3,1,2,4,5,6]=>[3,1,2,4,5,6]=>[3,4,2,5,6,1]=>{{1,3},{2,4,5,6}}=>1
[3,1,2,4,6,5]=>[3,1,2,4,6,5]=>[3,4,2,5,1,6]=>{{1,3},{2,4,5},{6}}=>6
[3,1,2,5,4,6]=>[3,1,2,5,4,6]=>[3,4,2,6,5,1]=>{{1,3},{2,4,6},{5}}=>5
[3,1,2,5,6,4]=>[3,1,2,6,5,4]=>[3,4,2,1,6,5]=>{{1,3},{2,4},{5,6}}=>5
[3,1,2,6,4,5]=>[3,1,2,6,4,5]=>[3,4,2,6,1,5]=>{{1,3},{2,4,6},{5}}=>5
[3,1,2,6,5,4]=>[3,1,2,5,6,4]=>[3,4,2,1,5,6]=>{{1,3},{2,4},{5},{6}}=>10
[3,1,4,2,5,6]=>[3,4,1,2,5,6]=>[4,5,2,3,6,1]=>{{1,4},{2,5,6},{3}}=>3
[3,1,4,2,6,5]=>[3,4,1,2,6,5]=>[4,5,2,3,1,6]=>{{1,4},{2,5},{3},{6}}=>8
[3,1,4,5,2,6]=>[3,5,1,4,2,6]=>[4,6,2,5,3,1]=>{{1,4,5},{2,6},{3}}=>3
[3,1,4,5,6,2]=>[3,6,1,4,5,2]=>[4,1,2,5,6,3]=>{{1,4,5,6},{2},{3}}=>3
[3,1,4,6,2,5]=>[3,6,1,4,2,5]=>[4,6,2,5,1,3]=>{{1,4,5},{2,6},{3}}=>3
[3,1,4,6,5,2]=>[3,5,1,4,6,2]=>[4,1,2,5,3,6]=>{{1,4,5},{2},{3},{6}}=>8
[3,1,5,2,4,6]=>[3,5,1,2,4,6]=>[4,5,2,6,3,1]=>{{1,4,6},{2,5},{3}}=>3
[3,1,5,2,6,4]=>[3,5,1,6,2,4]=>[4,6,2,1,3,5]=>{{1,4},{2,6},{3},{5}}=>7
[3,1,5,4,2,6]=>[3,4,1,5,2,6]=>[4,6,2,3,5,1]=>{{1,4},{2,6},{3},{5}}=>7
[3,1,5,4,6,2]=>[3,6,1,5,4,2]=>[4,1,2,6,5,3]=>{{1,4,6},{2},{3},{5}}=>7
[3,1,5,6,2,4]=>[3,6,1,2,5,4]=>[4,5,2,1,6,3]=>{{1,4},{2,5,6},{3}}=>3
[3,1,5,6,4,2]=>[3,4,1,6,5,2]=>[4,1,2,3,6,5]=>{{1,4},{2},{3},{5,6}}=>7
[3,1,6,2,4,5]=>[3,6,1,2,4,5]=>[4,5,2,6,1,3]=>{{1,4,6},{2,5},{3}}=>3
[3,1,6,2,5,4]=>[3,6,1,5,2,4]=>[4,6,2,1,5,3]=>{{1,4},{2,6},{3},{5}}=>7
[3,1,6,4,2,5]=>[3,4,1,6,2,5]=>[4,6,2,3,1,5]=>{{1,4},{2,6},{3},{5}}=>7
[3,1,6,4,5,2]=>[3,5,1,6,4,2]=>[4,1,2,6,3,5]=>{{1,4,6},{2},{3},{5}}=>7
[3,1,6,5,2,4]=>[3,5,1,2,6,4]=>[4,5,2,1,3,6]=>{{1,4},{2,5},{3},{6}}=>8
[3,1,6,5,4,2]=>[3,4,1,5,6,2]=>[4,1,2,3,5,6]=>{{1,4},{2},{3},{5},{6}}=>12
[3,2,1,4,5,6]=>[2,3,1,4,5,6]=>[4,2,3,5,6,1]=>{{1,4,5,6},{2},{3}}=>3
[3,2,1,4,6,5]=>[2,3,1,4,6,5]=>[4,2,3,5,1,6]=>{{1,4,5},{2},{3},{6}}=>8
[3,2,1,5,4,6]=>[2,3,1,5,4,6]=>[4,2,3,6,5,1]=>{{1,4,6},{2},{3},{5}}=>7
[3,2,1,5,6,4]=>[2,3,1,6,5,4]=>[4,2,3,1,6,5]=>{{1,4},{2},{3},{5,6}}=>7
[3,2,1,6,4,5]=>[2,3,1,6,4,5]=>[4,2,3,6,1,5]=>{{1,4,6},{2},{3},{5}}=>7
[3,2,1,6,5,4]=>[2,3,1,5,6,4]=>[4,2,3,1,5,6]=>{{1,4},{2},{3},{5},{6}}=>12
[3,2,4,1,5,6]=>[4,3,2,1,5,6]=>[5,4,3,2,6,1]=>{{1,5,6},{2,4},{3}}=>3
[3,2,4,1,6,5]=>[4,3,2,1,6,5]=>[5,4,3,2,1,6]=>{{1,5},{2,4},{3},{6}}=>8
[3,2,4,5,1,6]=>[5,3,2,4,1,6]=>[6,4,3,5,2,1]=>{{1,6},{2,4,5},{3}}=>3
[3,2,4,5,6,1]=>[6,3,2,4,5,1]=>[1,4,3,5,6,2]=>{{1},{2,4,5,6},{3}}=>3
[3,2,4,6,1,5]=>[6,3,2,4,1,5]=>[6,4,3,5,1,2]=>{{1,6},{2,4,5},{3}}=>3
[3,2,4,6,5,1]=>[5,3,2,4,6,1]=>[1,4,3,5,2,6]=>{{1},{2,4,5},{3},{6}}=>8
[3,2,5,1,4,6]=>[5,3,2,1,4,6]=>[5,4,3,6,2,1]=>{{1,5},{2,4,6},{3}}=>3
[3,2,5,1,6,4]=>[5,3,2,6,1,4]=>[6,4,3,1,2,5]=>{{1,6},{2,4},{3},{5}}=>7
[3,2,5,4,1,6]=>[4,3,2,5,1,6]=>[6,4,3,2,5,1]=>{{1,6},{2,4},{3},{5}}=>7
[3,2,5,4,6,1]=>[6,3,2,5,4,1]=>[1,4,3,6,5,2]=>{{1},{2,4,6},{3},{5}}=>7
[3,2,5,6,1,4]=>[6,3,2,1,5,4]=>[5,4,3,1,6,2]=>{{1,5,6},{2,4},{3}}=>3
[3,2,5,6,4,1]=>[4,3,2,6,5,1]=>[1,4,3,2,6,5]=>{{1},{2,4},{3},{5,6}}=>7
[3,2,6,1,4,5]=>[6,3,2,1,4,5]=>[5,4,3,6,1,2]=>{{1,5},{2,4,6},{3}}=>3
[3,2,6,1,5,4]=>[6,3,2,5,1,4]=>[6,4,3,1,5,2]=>{{1,6},{2,4},{3},{5}}=>7
[3,2,6,4,1,5]=>[4,3,2,6,1,5]=>[6,4,3,2,1,5]=>{{1,6},{2,4},{3},{5}}=>7
[3,2,6,4,5,1]=>[5,3,2,6,4,1]=>[1,4,3,6,2,5]=>{{1},{2,4,6},{3},{5}}=>7
[3,2,6,5,1,4]=>[5,3,2,1,6,4]=>[5,4,3,1,2,6]=>{{1,5},{2,4},{3},{6}}=>8
[3,2,6,5,4,1]=>[4,3,2,5,6,1]=>[1,4,3,2,5,6]=>{{1},{2,4},{3},{5},{6}}=>12
[3,4,1,2,5,6]=>[4,1,3,2,5,6]=>[3,5,4,2,6,1]=>{{1,3,4},{2,5,6}}=>1
[3,4,1,2,6,5]=>[4,1,3,2,6,5]=>[3,5,4,2,1,6]=>{{1,3,4},{2,5},{6}}=>6
[3,4,1,5,2,6]=>[4,5,3,1,2,6]=>[5,6,4,2,3,1]=>{{1,5},{2,6},{3,4}}=>3
[3,4,1,5,6,2]=>[4,6,3,1,5,2]=>[5,1,4,2,6,3]=>{{1,5,6},{2},{3,4}}=>3
[3,4,1,6,2,5]=>[4,6,3,1,2,5]=>[5,6,4,2,1,3]=>{{1,5},{2,6},{3,4}}=>3
[3,4,1,6,5,2]=>[4,5,3,1,6,2]=>[5,1,4,2,3,6]=>{{1,5},{2},{3,4},{6}}=>8
[3,4,2,1,5,6]=>[2,4,3,1,5,6]=>[5,2,4,3,6,1]=>{{1,5,6},{2},{3,4}}=>3
[3,4,2,1,6,5]=>[2,4,3,1,6,5]=>[5,2,4,3,1,6]=>{{1,5},{2},{3,4},{6}}=>8
[3,4,2,5,1,6]=>[5,4,3,2,1,6]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>3
[3,4,2,5,6,1]=>[6,4,3,2,5,1]=>[1,5,4,3,6,2]=>{{1},{2,5,6},{3,4}}=>3
[3,4,2,6,1,5]=>[6,4,3,2,1,5]=>[6,5,4,3,1,2]=>{{1,6},{2,5},{3,4}}=>3
[3,4,2,6,5,1]=>[5,4,3,2,6,1]=>[1,5,4,3,2,6]=>{{1},{2,5},{3,4},{6}}=>8
[3,4,5,1,2,6]=>[5,1,3,4,2,6]=>[3,6,4,5,2,1]=>{{1,3,4,5},{2,6}}=>1
[3,4,5,1,6,2]=>[5,6,3,4,1,2]=>[6,1,4,5,2,3]=>{{1,6},{2},{3,4,5}}=>3
[3,4,5,2,1,6]=>[2,5,3,4,1,6]=>[6,2,4,5,3,1]=>{{1,6},{2},{3,4,5}}=>3
[3,4,5,2,6,1]=>[6,5,3,4,2,1]=>[1,6,4,5,3,2]=>{{1},{2,6},{3,4,5}}=>3
[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>[3,1,4,5,6,2]=>{{1,3,4,5,6},{2}}=>1
[3,4,5,6,2,1]=>[2,6,3,4,5,1]=>[1,2,4,5,6,3]=>{{1},{2},{3,4,5,6}}=>3
[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>[3,6,4,5,1,2]=>{{1,3,4,5},{2,6}}=>1
[3,4,6,1,5,2]=>[6,5,3,4,1,2]=>[6,1,4,5,3,2]=>{{1,6},{2},{3,4,5}}=>3
[3,4,6,2,1,5]=>[2,6,3,4,1,5]=>[6,2,4,5,1,3]=>{{1,6},{2},{3,4,5}}=>3
[3,4,6,2,5,1]=>[5,6,3,4,2,1]=>[1,6,4,5,2,3]=>{{1},{2,6},{3,4,5}}=>3
[3,4,6,5,1,2]=>[5,1,3,4,6,2]=>[3,1,4,5,2,6]=>{{1,3,4,5},{2},{6}}=>6
[3,4,6,5,2,1]=>[2,5,3,4,6,1]=>[1,2,4,5,3,6]=>{{1},{2},{3,4,5},{6}}=>8
[3,5,1,2,4,6]=>[5,1,3,2,4,6]=>[3,5,4,6,2,1]=>{{1,3,4,6},{2,5}}=>1
[3,5,1,2,6,4]=>[5,1,3,6,2,4]=>[3,6,4,1,2,5]=>{{1,3,4},{2,6},{5}}=>5
[3,5,1,4,2,6]=>[5,4,3,1,2,6]=>[5,6,4,3,2,1]=>{{1,5},{2,6},{3,4}}=>3
[3,5,1,4,6,2]=>[5,6,3,1,4,2]=>[5,1,4,6,2,3]=>{{1,5},{2},{3,4,6}}=>3
[3,5,1,6,2,4]=>[5,6,3,2,1,4]=>[6,5,4,1,2,3]=>{{1,6},{2,5},{3,4}}=>3
[3,5,1,6,4,2]=>[5,4,3,6,1,2]=>[6,1,4,3,2,5]=>{{1,6},{2},{3,4},{5}}=>7
[3,5,2,1,4,6]=>[2,5,3,1,4,6]=>[5,2,4,6,3,1]=>{{1,5},{2},{3,4,6}}=>3
[3,5,2,1,6,4]=>[2,5,3,6,1,4]=>[6,2,4,1,3,5]=>{{1,6},{2},{3,4},{5}}=>7
[3,5,2,4,1,6]=>[4,5,3,2,1,6]=>[6,5,4,2,3,1]=>{{1,6},{2,5},{3,4}}=>3
[3,5,2,4,6,1]=>[6,5,3,2,4,1]=>[1,5,4,6,3,2]=>{{1},{2,5},{3,4,6}}=>3
[3,5,2,6,1,4]=>[6,5,3,1,2,4]=>[5,6,4,1,3,2]=>{{1,5},{2,6},{3,4}}=>3
[3,5,2,6,4,1]=>[4,6,3,5,1,2]=>[6,1,4,2,5,3]=>{{1,6},{2},{3,4},{5}}=>7
[3,5,4,1,2,6]=>[4,1,3,5,2,6]=>[3,6,4,2,5,1]=>{{1,3,4},{2,6},{5}}=>5
[3,5,4,1,6,2]=>[4,5,3,6,2,1]=>[1,6,4,2,3,5]=>{{1},{2,6},{3,4},{5}}=>7
[3,5,4,2,1,6]=>[2,4,3,5,1,6]=>[6,2,4,3,5,1]=>{{1,6},{2},{3,4},{5}}=>7
[3,5,4,2,6,1]=>[6,4,3,5,2,1]=>[1,6,4,3,5,2]=>{{1},{2,6},{3,4},{5}}=>7
[3,5,4,6,1,2]=>[6,1,3,5,4,2]=>[3,1,4,6,5,2]=>{{1,3,4,6},{2},{5}}=>5
[3,5,4,6,2,1]=>[2,6,3,5,4,1]=>[1,2,4,6,5,3]=>{{1},{2},{3,4,6},{5}}=>7
[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>[3,5,4,1,6,2]=>{{1,3,4},{2,5,6}}=>1
[3,5,6,1,4,2]=>[6,4,3,1,5,2]=>[5,1,4,3,6,2]=>{{1,5,6},{2},{3,4}}=>3
[3,5,6,2,1,4]=>[2,6,3,1,5,4]=>[5,2,4,1,6,3]=>{{1,5,6},{2},{3,4}}=>3
[3,5,6,2,4,1]=>[4,6,3,2,5,1]=>[1,5,4,2,6,3]=>{{1},{2,5,6},{3,4}}=>3
[3,5,6,4,1,2]=>[4,1,3,6,5,2]=>[3,1,4,2,6,5]=>{{1,3,4},{2},{5,6}}=>5
[3,5,6,4,2,1]=>[2,4,3,6,5,1]=>[1,2,4,3,6,5]=>{{1},{2},{3,4},{5,6}}=>7
[3,6,1,2,4,5]=>[6,1,3,2,4,5]=>[3,5,4,6,1,2]=>{{1,3,4,6},{2,5}}=>1
[3,6,1,2,5,4]=>[6,1,3,5,2,4]=>[3,6,4,1,5,2]=>{{1,3,4},{2,6},{5}}=>5
[3,6,1,4,2,5]=>[6,4,3,1,2,5]=>[5,6,4,3,1,2]=>{{1,5},{2,6},{3,4}}=>3
[3,6,1,4,5,2]=>[6,5,3,1,4,2]=>[5,1,4,6,3,2]=>{{1,5},{2},{3,4,6}}=>3
[3,6,1,5,2,4]=>[6,5,3,2,1,4]=>[6,5,4,1,3,2]=>{{1,6},{2,5},{3,4}}=>3
[3,6,1,5,4,2]=>[6,4,3,5,1,2]=>[6,1,4,3,5,2]=>{{1,6},{2},{3,4},{5}}=>7
[3,6,2,1,4,5]=>[2,6,3,1,4,5]=>[5,2,4,6,1,3]=>{{1,5},{2},{3,4,6}}=>3
[3,6,2,1,5,4]=>[2,6,3,5,1,4]=>[6,2,4,1,5,3]=>{{1,6},{2},{3,4},{5}}=>7
[3,6,2,4,1,5]=>[4,6,3,2,1,5]=>[6,5,4,2,1,3]=>{{1,6},{2,5},{3,4}}=>3
[3,6,2,4,5,1]=>[5,6,3,2,4,1]=>[1,5,4,6,2,3]=>{{1},{2,5},{3,4,6}}=>3
[3,6,2,5,1,4]=>[5,6,3,1,2,4]=>[5,6,4,1,2,3]=>{{1,5},{2,6},{3,4}}=>3
[3,6,2,5,4,1]=>[4,5,3,6,1,2]=>[6,1,4,2,3,5]=>{{1,6},{2},{3,4},{5}}=>7
[3,6,4,1,2,5]=>[4,1,3,6,2,5]=>[3,6,4,2,1,5]=>{{1,3,4},{2,6},{5}}=>5
[3,6,4,1,5,2]=>[4,6,3,5,2,1]=>[1,6,4,2,5,3]=>{{1},{2,6},{3,4},{5}}=>7
[3,6,4,2,1,5]=>[2,4,3,6,1,5]=>[6,2,4,3,1,5]=>{{1,6},{2},{3,4},{5}}=>7
[3,6,4,2,5,1]=>[5,4,3,6,2,1]=>[1,6,4,3,2,5]=>{{1},{2,6},{3,4},{5}}=>7
[3,6,4,5,1,2]=>[5,1,3,6,4,2]=>[3,1,4,6,2,5]=>{{1,3,4,6},{2},{5}}=>5
[3,6,4,5,2,1]=>[2,5,3,6,4,1]=>[1,2,4,6,3,5]=>{{1},{2},{3,4,6},{5}}=>7
[3,6,5,1,2,4]=>[5,1,3,2,6,4]=>[3,5,4,1,2,6]=>{{1,3,4},{2,5},{6}}=>6
[3,6,5,1,4,2]=>[5,4,3,1,6,2]=>[5,1,4,3,2,6]=>{{1,5},{2},{3,4},{6}}=>8
[3,6,5,2,1,4]=>[2,5,3,1,6,4]=>[5,2,4,1,3,6]=>{{1,5},{2},{3,4},{6}}=>8
[3,6,5,2,4,1]=>[4,5,3,2,6,1]=>[1,5,4,2,3,6]=>{{1},{2,5},{3,4},{6}}=>8
[3,6,5,4,1,2]=>[4,1,3,5,6,2]=>[3,1,4,2,5,6]=>{{1,3,4},{2},{5},{6}}=>10
[3,6,5,4,2,1]=>[2,4,3,5,6,1]=>[1,2,4,3,5,6]=>{{1},{2},{3,4},{5},{6}}=>12
[4,1,2,3,5,6]=>[4,1,2,3,5,6]=>[3,4,5,2,6,1]=>{{1,3,5,6},{2,4}}=>1
[4,1,2,3,6,5]=>[4,1,2,3,6,5]=>[3,4,5,2,1,6]=>{{1,3,5},{2,4},{6}}=>6
[4,1,2,5,3,6]=>[4,1,5,2,3,6]=>[3,5,6,2,4,1]=>{{1,3,6},{2,5},{4}}=>4
[4,1,2,5,6,3]=>[4,1,6,2,5,3]=>[3,5,1,2,6,4]=>{{1,3},{2,5,6},{4}}=>4
[4,1,2,6,3,5]=>[4,1,6,2,3,5]=>[3,5,6,2,1,4]=>{{1,3,6},{2,5},{4}}=>4
[4,1,2,6,5,3]=>[4,1,5,2,6,3]=>[3,5,1,2,4,6]=>{{1,3},{2,5},{4},{6}}=>9
[4,1,3,2,5,6]=>[4,3,1,2,5,6]=>[4,5,3,2,6,1]=>{{1,4},{2,5,6},{3}}=>3
[4,1,3,2,6,5]=>[4,3,1,2,6,5]=>[4,5,3,2,1,6]=>{{1,4},{2,5},{3},{6}}=>8
[4,1,3,5,2,6]=>[4,5,1,3,2,6]=>[4,6,5,2,3,1]=>{{1,4},{2,6},{3,5}}=>3
[4,1,3,5,6,2]=>[4,6,1,3,5,2]=>[4,1,5,2,6,3]=>{{1,4},{2},{3,5,6}}=>3
[4,1,3,6,2,5]=>[4,6,1,3,2,5]=>[4,6,5,2,1,3]=>{{1,4},{2,6},{3,5}}=>3
[4,1,3,6,5,2]=>[4,5,1,3,6,2]=>[4,1,5,2,3,6]=>{{1,4},{2},{3,5},{6}}=>8
[4,1,5,2,3,6]=>[4,5,2,1,3,6]=>[5,4,6,2,3,1]=>{{1,5},{2,4},{3,6}}=>3
[4,1,5,2,6,3]=>[4,5,6,1,2,3]=>[5,6,1,2,3,4]=>{{1,5},{2,6},{3},{4}}=>6
[4,1,5,3,2,6]=>[4,3,5,1,2,6]=>[5,6,3,2,4,1]=>{{1,5},{2,6},{3},{4}}=>6
[4,1,5,3,6,2]=>[4,6,5,1,3,2]=>[5,1,6,2,4,3]=>{{1,5},{2},{3,6},{4}}=>6
[4,1,5,6,2,3]=>[4,6,2,1,5,3]=>[5,4,1,2,6,3]=>{{1,5,6},{2,4},{3}}=>3
[4,1,5,6,3,2]=>[4,3,6,1,5,2]=>[5,1,3,2,6,4]=>{{1,5,6},{2},{3},{4}}=>6
[4,1,6,2,3,5]=>[4,6,2,1,3,5]=>[5,4,6,2,1,3]=>{{1,5},{2,4},{3,6}}=>3
[4,1,6,2,5,3]=>[4,6,5,1,2,3]=>[5,6,1,2,4,3]=>{{1,5},{2,6},{3},{4}}=>6
[4,1,6,3,2,5]=>[4,3,6,1,2,5]=>[5,6,3,2,1,4]=>{{1,5},{2,6},{3},{4}}=>6
[4,1,6,3,5,2]=>[4,5,6,1,3,2]=>[5,1,6,2,3,4]=>{{1,5},{2},{3,6},{4}}=>6
[4,1,6,5,2,3]=>[4,5,2,1,6,3]=>[5,4,1,2,3,6]=>{{1,5},{2,4},{3},{6}}=>8
[4,1,6,5,3,2]=>[4,3,5,1,6,2]=>[5,1,3,2,4,6]=>{{1,5},{2},{3},{4},{6}}=>11
[4,2,1,3,5,6]=>[2,4,1,3,5,6]=>[4,2,5,3,6,1]=>{{1,4},{2},{3,5,6}}=>3
[4,2,1,3,6,5]=>[2,4,1,3,6,5]=>[4,2,5,3,1,6]=>{{1,4},{2},{3,5},{6}}=>8
[4,2,1,5,3,6]=>[2,4,5,1,3,6]=>[5,2,6,3,4,1]=>{{1,5},{2},{3,6},{4}}=>6
[4,2,1,5,6,3]=>[2,4,6,1,5,3]=>[5,2,1,3,6,4]=>{{1,5,6},{2},{3},{4}}=>6
[4,2,1,6,3,5]=>[2,4,6,1,3,5]=>[5,2,6,3,1,4]=>{{1,5},{2},{3,6},{4}}=>6
[4,2,1,6,5,3]=>[2,4,5,1,6,3]=>[5,2,1,3,4,6]=>{{1,5},{2},{3},{4},{6}}=>11
[4,2,3,1,5,6]=>[3,4,2,1,5,6]=>[5,4,2,3,6,1]=>{{1,5,6},{2,4},{3}}=>3
[4,2,3,1,6,5]=>[3,4,2,1,6,5]=>[5,4,2,3,1,6]=>{{1,5},{2,4},{3},{6}}=>8
[4,2,3,5,1,6]=>[5,4,2,3,1,6]=>[6,4,5,3,2,1]=>{{1,6},{2,4},{3,5}}=>3
[4,2,3,5,6,1]=>[6,4,2,3,5,1]=>[1,4,5,3,6,2]=>{{1},{2,4},{3,5,6}}=>3
[4,2,3,6,1,5]=>[6,4,2,3,1,5]=>[6,4,5,3,1,2]=>{{1,6},{2,4},{3,5}}=>3
[4,2,3,6,5,1]=>[5,4,2,3,6,1]=>[1,4,5,3,2,6]=>{{1},{2,4},{3,5},{6}}=>8
[4,2,5,1,3,6]=>[5,4,1,2,3,6]=>[4,5,6,3,2,1]=>{{1,4},{2,5},{3,6}}=>3
[4,2,5,1,6,3]=>[5,4,6,2,1,3]=>[6,5,1,3,2,4]=>{{1,6},{2,5},{3},{4}}=>6
[4,2,5,3,1,6]=>[3,5,4,1,2,6]=>[5,6,2,4,3,1]=>{{1,5},{2,6},{3},{4}}=>6
[4,2,5,3,6,1]=>[6,4,5,2,3,1]=>[1,5,6,3,4,2]=>{{1},{2,5},{3,6},{4}}=>6
[4,2,5,6,1,3]=>[6,4,1,2,5,3]=>[4,5,1,3,6,2]=>{{1,4},{2,5,6},{3}}=>3
[4,2,5,6,3,1]=>[3,6,4,1,5,2]=>[5,1,2,4,6,3]=>{{1,5,6},{2},{3},{4}}=>6
[4,2,6,1,3,5]=>[6,4,1,2,3,5]=>[4,5,6,3,1,2]=>{{1,4},{2,5},{3,6}}=>3
[4,2,6,1,5,3]=>[6,4,5,2,1,3]=>[6,5,1,3,4,2]=>{{1,6},{2,5},{3},{4}}=>6
[4,2,6,3,1,5]=>[3,6,4,1,2,5]=>[5,6,2,4,1,3]=>{{1,5},{2,6},{3},{4}}=>6
[4,2,6,3,5,1]=>[5,4,6,2,3,1]=>[1,5,6,3,2,4]=>{{1},{2,5},{3,6},{4}}=>6
[4,2,6,5,1,3]=>[5,4,1,2,6,3]=>[4,5,1,3,2,6]=>{{1,4},{2,5},{3},{6}}=>8
[4,2,6,5,3,1]=>[3,5,4,1,6,2]=>[5,1,2,4,3,6]=>{{1,5},{2},{3},{4},{6}}=>11
[4,3,1,2,5,6]=>[3,1,4,2,5,6]=>[3,5,2,4,6,1]=>{{1,3},{2,5,6},{4}}=>4
[4,3,1,2,6,5]=>[3,1,4,2,6,5]=>[3,5,2,4,1,6]=>{{1,3},{2,5},{4},{6}}=>9
[4,3,1,5,2,6]=>[3,4,5,2,1,6]=>[6,5,2,3,4,1]=>{{1,6},{2,5},{3},{4}}=>6
[4,3,1,5,6,2]=>[3,4,6,2,5,1]=>[1,5,2,3,6,4]=>{{1},{2,5,6},{3},{4}}=>6
[4,3,1,6,2,5]=>[3,4,6,2,1,5]=>[6,5,2,3,1,4]=>{{1,6},{2,5},{3},{4}}=>6
[4,3,1,6,5,2]=>[3,4,5,2,6,1]=>[1,5,2,3,4,6]=>{{1},{2,5},{3},{4},{6}}=>11
[4,3,2,1,5,6]=>[2,3,4,1,5,6]=>[5,2,3,4,6,1]=>{{1,5,6},{2},{3},{4}}=>6
[4,3,2,1,6,5]=>[2,3,4,1,6,5]=>[5,2,3,4,1,6]=>{{1,5},{2},{3},{4},{6}}=>11
[4,3,2,5,1,6]=>[5,3,4,2,1,6]=>[6,5,3,4,2,1]=>{{1,6},{2,5},{3},{4}}=>6
[4,3,2,5,6,1]=>[6,3,4,2,5,1]=>[1,5,3,4,6,2]=>{{1},{2,5,6},{3},{4}}=>6
[4,3,2,6,1,5]=>[6,3,4,2,1,5]=>[6,5,3,4,1,2]=>{{1,6},{2,5},{3},{4}}=>6
[4,3,2,6,5,1]=>[5,3,4,2,6,1]=>[1,5,3,4,2,6]=>{{1},{2,5},{3},{4},{6}}=>11
[4,3,5,1,2,6]=>[5,1,4,3,2,6]=>[3,6,5,4,2,1]=>{{1,3,5},{2,6},{4}}=>4
[4,3,5,1,6,2]=>[5,6,4,3,1,2]=>[6,1,5,4,2,3]=>{{1,6},{2},{3,5},{4}}=>6
[4,3,5,2,1,6]=>[2,5,4,3,1,6]=>[6,2,5,4,3,1]=>{{1,6},{2},{3,5},{4}}=>6
[4,3,5,2,6,1]=>[6,5,4,3,2,1]=>[1,6,5,4,3,2]=>{{1},{2,6},{3,5},{4}}=>6
[4,3,5,6,1,2]=>[6,1,4,3,5,2]=>[3,1,5,4,6,2]=>{{1,3,5,6},{2},{4}}=>4
[4,3,5,6,2,1]=>[2,6,4,3,5,1]=>[1,2,5,4,6,3]=>{{1},{2},{3,5,6},{4}}=>6
[4,3,6,1,2,5]=>[6,1,4,3,2,5]=>[3,6,5,4,1,2]=>{{1,3,5},{2,6},{4}}=>4
[4,3,6,1,5,2]=>[6,5,4,3,1,2]=>[6,1,5,4,3,2]=>{{1,6},{2},{3,5},{4}}=>6
[4,3,6,2,1,5]=>[2,6,4,3,1,5]=>[6,2,5,4,1,3]=>{{1,6},{2},{3,5},{4}}=>6
[4,3,6,2,5,1]=>[5,6,4,3,2,1]=>[1,6,5,4,2,3]=>{{1},{2,6},{3,5},{4}}=>6
[4,3,6,5,1,2]=>[5,1,4,3,6,2]=>[3,1,5,4,2,6]=>{{1,3,5},{2},{4},{6}}=>9
[4,3,6,5,2,1]=>[2,5,4,3,6,1]=>[1,2,5,4,3,6]=>{{1},{2},{3,5},{4},{6}}=>11
[4,5,1,2,3,6]=>[5,1,2,4,3,6]=>[3,4,6,5,2,1]=>{{1,3,6},{2,4,5}}=>1
[4,5,1,2,6,3]=>[5,1,6,4,2,3]=>[3,6,1,5,2,4]=>{{1,3},{2,6},{4,5}}=>4
[4,5,1,3,2,6]=>[5,3,1,4,2,6]=>[4,6,3,5,2,1]=>{{1,4,5},{2,6},{3}}=>3
[4,5,1,3,6,2]=>[5,6,1,4,3,2]=>[4,1,6,5,2,3]=>{{1,4,5},{2},{3,6}}=>3
[4,5,1,6,2,3]=>[5,6,2,4,1,3]=>[6,4,1,5,2,3]=>{{1,6},{2,4,5},{3}}=>3
[4,5,1,6,3,2]=>[5,3,6,4,1,2]=>[6,1,3,5,2,4]=>{{1,6},{2},{3},{4,5}}=>6
[4,5,2,1,3,6]=>[2,5,1,4,3,6]=>[4,2,6,5,3,1]=>{{1,4,5},{2},{3,6}}=>3
[4,5,2,1,6,3]=>[2,5,6,4,1,3]=>[6,2,1,5,3,4]=>{{1,6},{2},{3},{4,5}}=>6
[4,5,2,3,1,6]=>[3,5,2,4,1,6]=>[6,4,2,5,3,1]=>{{1,6},{2,4,5},{3}}=>3
[4,5,2,3,6,1]=>[6,5,2,4,3,1]=>[1,4,6,5,3,2]=>{{1},{2,4,5},{3,6}}=>3
[4,5,2,6,1,3]=>[6,5,1,4,2,3]=>[4,6,1,5,3,2]=>{{1,4,5},{2,6},{3}}=>3
[4,5,2,6,3,1]=>[3,6,5,4,1,2]=>[6,1,2,5,4,3]=>{{1,6},{2},{3},{4,5}}=>6
[4,5,3,1,2,6]=>[3,1,5,4,2,6]=>[3,6,2,5,4,1]=>{{1,3},{2,6},{4,5}}=>4
[4,5,3,1,6,2]=>[3,5,6,4,2,1]=>[1,6,2,5,3,4]=>{{1},{2,6},{3},{4,5}}=>6
[4,5,3,2,1,6]=>[2,3,5,4,1,6]=>[6,2,3,5,4,1]=>{{1,6},{2},{3},{4,5}}=>6
[4,5,3,2,6,1]=>[6,3,5,4,2,1]=>[1,6,3,5,4,2]=>{{1},{2,6},{3},{4,5}}=>6
[4,5,3,6,1,2]=>[6,1,5,4,3,2]=>[3,1,6,5,4,2]=>{{1,3,6},{2},{4,5}}=>4
[4,5,3,6,2,1]=>[2,6,5,4,3,1]=>[1,2,6,5,4,3]=>{{1},{2},{3,6},{4,5}}=>6
[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>[3,4,1,5,6,2]=>{{1,3},{2,4,5,6}}=>1
[4,5,6,1,3,2]=>[6,3,1,4,5,2]=>[4,1,3,5,6,2]=>{{1,4,5,6},{2},{3}}=>3
[4,5,6,2,1,3]=>[2,6,1,4,5,3]=>[4,2,1,5,6,3]=>{{1,4,5,6},{2},{3}}=>3
[4,5,6,2,3,1]=>[3,6,2,4,5,1]=>[1,4,2,5,6,3]=>{{1},{2,4,5,6},{3}}=>3
[4,5,6,3,1,2]=>[3,1,6,4,5,2]=>[3,1,2,5,6,4]=>{{1,3},{2},{4,5,6}}=>4
[4,5,6,3,2,1]=>[2,3,6,4,5,1]=>[1,2,3,5,6,4]=>{{1},{2},{3},{4,5,6}}=>6
[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>[3,4,6,5,1,2]=>{{1,3,6},{2,4,5}}=>1
[4,6,1,2,5,3]=>[6,1,5,4,2,3]=>[3,6,1,5,4,2]=>{{1,3},{2,6},{4,5}}=>4
[4,6,1,3,2,5]=>[6,3,1,4,2,5]=>[4,6,3,5,1,2]=>{{1,4,5},{2,6},{3}}=>3
[4,6,1,3,5,2]=>[6,5,1,4,3,2]=>[4,1,6,5,3,2]=>{{1,4,5},{2},{3,6}}=>3
[4,6,1,5,2,3]=>[6,5,2,4,1,3]=>[6,4,1,5,3,2]=>{{1,6},{2,4,5},{3}}=>3
[4,6,1,5,3,2]=>[6,3,5,4,1,2]=>[6,1,3,5,4,2]=>{{1,6},{2},{3},{4,5}}=>6
[4,6,2,1,3,5]=>[2,6,1,4,3,5]=>[4,2,6,5,1,3]=>{{1,4,5},{2},{3,6}}=>3
[4,6,2,1,5,3]=>[2,6,5,4,1,3]=>[6,2,1,5,4,3]=>{{1,6},{2},{3},{4,5}}=>6
[4,6,2,3,1,5]=>[3,6,2,4,1,5]=>[6,4,2,5,1,3]=>{{1,6},{2,4,5},{3}}=>3
[4,6,2,3,5,1]=>[5,6,2,4,3,1]=>[1,4,6,5,2,3]=>{{1},{2,4,5},{3,6}}=>3
[4,6,2,5,1,3]=>[5,6,1,4,2,3]=>[4,6,1,5,2,3]=>{{1,4,5},{2,6},{3}}=>3
[4,6,2,5,3,1]=>[3,5,6,4,1,2]=>[6,1,2,5,3,4]=>{{1,6},{2},{3},{4,5}}=>6
[4,6,3,1,2,5]=>[3,1,6,4,2,5]=>[3,6,2,5,1,4]=>{{1,3},{2,6},{4,5}}=>4
[4,6,3,1,5,2]=>[3,6,5,4,2,1]=>[1,6,2,5,4,3]=>{{1},{2,6},{3},{4,5}}=>6
[4,6,3,2,1,5]=>[2,3,6,4,1,5]=>[6,2,3,5,1,4]=>{{1,6},{2},{3},{4,5}}=>6
[4,6,3,2,5,1]=>[5,3,6,4,2,1]=>[1,6,3,5,2,4]=>{{1},{2,6},{3},{4,5}}=>6
[4,6,3,5,1,2]=>[5,1,6,4,3,2]=>[3,1,6,5,2,4]=>{{1,3,6},{2},{4,5}}=>4
[4,6,3,5,2,1]=>[2,5,6,4,3,1]=>[1,2,6,5,3,4]=>{{1},{2},{3,6},{4,5}}=>6
[4,6,5,1,2,3]=>[5,1,2,4,6,3]=>[3,4,1,5,2,6]=>{{1,3},{2,4,5},{6}}=>6
[4,6,5,1,3,2]=>[5,3,1,4,6,2]=>[4,1,3,5,2,6]=>{{1,4,5},{2},{3},{6}}=>8
[4,6,5,2,1,3]=>[2,5,1,4,6,3]=>[4,2,1,5,3,6]=>{{1,4,5},{2},{3},{6}}=>8
[4,6,5,2,3,1]=>[3,5,2,4,6,1]=>[1,4,2,5,3,6]=>{{1},{2,4,5},{3},{6}}=>8
[4,6,5,3,1,2]=>[3,1,5,4,6,2]=>[3,1,2,5,4,6]=>{{1,3},{2},{4,5},{6}}=>9
[4,6,5,3,2,1]=>[2,3,5,4,6,1]=>[1,2,3,5,4,6]=>{{1},{2},{3},{4,5},{6}}=>11
[5,1,2,3,4,6]=>[5,1,2,3,4,6]=>[3,4,5,6,2,1]=>{{1,3,5},{2,4,6}}=>1
[5,1,2,3,6,4]=>[5,1,2,6,3,4]=>[3,4,6,1,2,5]=>{{1,3,6},{2,4},{5}}=>5
[5,1,2,4,3,6]=>[5,1,4,2,3,6]=>[3,5,6,4,2,1]=>{{1,3,6},{2,5},{4}}=>4
[5,1,2,4,6,3]=>[5,1,6,2,4,3]=>[3,5,1,6,2,4]=>{{1,3},{2,5},{4,6}}=>4
[5,1,2,6,3,4]=>[5,1,6,3,2,4]=>[3,6,5,1,2,4]=>{{1,3,5},{2,6},{4}}=>4
[5,1,2,6,4,3]=>[5,1,4,6,2,3]=>[3,6,1,4,2,5]=>{{1,3},{2,6},{4},{5}}=>8
[5,1,3,2,4,6]=>[5,3,1,2,4,6]=>[4,5,3,6,2,1]=>{{1,4,6},{2,5},{3}}=>3
[5,1,3,2,6,4]=>[5,3,1,6,2,4]=>[4,6,3,1,2,5]=>{{1,4},{2,6},{3},{5}}=>7
[5,1,3,4,2,6]=>[5,4,1,3,2,6]=>[4,6,5,3,2,1]=>{{1,4},{2,6},{3,5}}=>3
[5,1,3,4,6,2]=>[5,6,1,2,3,4]=>[4,5,6,1,2,3]=>{{1,4},{2,5},{3,6}}=>3
[5,1,3,6,2,4]=>[5,6,1,3,4,2]=>[4,1,5,6,2,3]=>{{1,4,6},{2},{3,5}}=>3
[5,1,3,6,4,2]=>[5,4,1,6,3,2]=>[4,1,6,3,2,5]=>{{1,4},{2},{3,6},{5}}=>7
[5,1,4,2,3,6]=>[5,4,2,1,3,6]=>[5,4,6,3,2,1]=>{{1,5},{2,4},{3,6}}=>3
[5,1,4,2,6,3]=>[5,4,6,1,2,3]=>[5,6,1,3,2,4]=>{{1,5},{2,6},{3},{4}}=>6
[5,1,4,3,2,6]=>[5,3,4,1,2,6]=>[5,6,3,4,2,1]=>{{1,5},{2,6},{3},{4}}=>6
[5,1,4,3,6,2]=>[5,6,4,1,3,2]=>[5,1,6,4,2,3]=>{{1,5},{2},{3,6},{4}}=>6
[5,1,4,6,2,3]=>[5,6,2,1,4,3]=>[5,4,1,6,2,3]=>{{1,5},{2,4,6},{3}}=>3
[5,1,4,6,3,2]=>[5,3,6,1,4,2]=>[5,1,3,6,2,4]=>{{1,5},{2},{3},{4,6}}=>6
[5,1,6,2,3,4]=>[5,6,2,3,1,4]=>[6,4,5,1,2,3]=>{{1,6},{2,4},{3,5}}=>3
[5,1,6,2,4,3]=>[5,6,4,2,1,3]=>[6,5,1,4,2,3]=>{{1,6},{2,5},{3},{4}}=>6
[5,1,6,3,2,4]=>[5,3,6,2,1,4]=>[6,5,3,1,2,4]=>{{1,6},{2,5},{3},{4}}=>6
[5,1,6,3,4,2]=>[5,4,6,3,1,2]=>[6,1,5,3,2,4]=>{{1,6},{2},{3,5},{4}}=>6
[5,1,6,4,2,3]=>[5,4,2,6,1,3]=>[6,4,1,3,2,5]=>{{1,6},{2,4},{3},{5}}=>7
[5,1,6,4,3,2]=>[5,3,4,6,1,2]=>[6,1,3,4,2,5]=>{{1,6},{2},{3},{4},{5}}=>10
[5,2,1,3,4,6]=>[2,5,1,3,4,6]=>[4,2,5,6,3,1]=>{{1,4,6},{2},{3,5}}=>3
[5,2,1,3,6,4]=>[2,5,1,6,3,4]=>[4,2,6,1,3,5]=>{{1,4},{2},{3,6},{5}}=>7
[5,2,1,4,3,6]=>[2,5,4,1,3,6]=>[5,2,6,4,3,1]=>{{1,5},{2},{3,6},{4}}=>6
[5,2,1,4,6,3]=>[2,5,6,1,4,3]=>[5,2,1,6,3,4]=>{{1,5},{2},{3},{4,6}}=>6
[5,2,1,6,3,4]=>[2,5,6,3,1,4]=>[6,2,5,1,3,4]=>{{1,6},{2},{3,5},{4}}=>6
[5,2,1,6,4,3]=>[2,5,4,6,1,3]=>[6,2,1,4,3,5]=>{{1,6},{2},{3},{4},{5}}=>10
[5,2,3,1,4,6]=>[3,5,2,1,4,6]=>[5,4,2,6,3,1]=>{{1,5},{2,4,6},{3}}=>3
[5,2,3,1,6,4]=>[3,5,2,6,1,4]=>[6,4,2,1,3,5]=>{{1,6},{2,4},{3},{5}}=>7
[5,2,3,4,1,6]=>[4,5,2,3,1,6]=>[6,4,5,2,3,1]=>{{1,6},{2,4},{3,5}}=>3
[5,2,3,4,6,1]=>[6,5,2,3,4,1]=>[1,4,5,6,3,2]=>{{1},{2,4,6},{3,5}}=>3
[5,2,3,6,1,4]=>[6,5,2,1,3,4]=>[5,4,6,1,3,2]=>{{1,5},{2,4},{3,6}}=>3
[5,2,3,6,4,1]=>[4,6,2,5,1,3]=>[6,4,1,2,5,3]=>{{1,6},{2,4},{3},{5}}=>7
[5,2,4,1,3,6]=>[4,5,1,2,3,6]=>[4,5,6,2,3,1]=>{{1,4},{2,5},{3,6}}=>3
[5,2,4,1,6,3]=>[4,5,6,2,1,3]=>[6,5,1,2,3,4]=>{{1,6},{2,5},{3},{4}}=>6
[5,2,4,3,1,6]=>[3,4,5,1,2,6]=>[5,6,2,3,4,1]=>{{1,5},{2,6},{3},{4}}=>6
[5,2,4,3,6,1]=>[6,5,4,2,3,1]=>[1,5,6,4,3,2]=>{{1},{2,5},{3,6},{4}}=>6
[5,2,4,6,1,3]=>[6,5,1,3,2,4]=>[4,6,5,1,3,2]=>{{1,4},{2,6},{3,5}}=>3
[5,2,4,6,3,1]=>[3,6,5,2,1,4]=>[6,5,2,1,4,3]=>{{1,6},{2,5},{3},{4}}=>6
[5,2,6,1,3,4]=>[6,5,1,2,4,3]=>[4,5,1,6,3,2]=>{{1,4,6},{2,5},{3}}=>3
[5,2,6,1,4,3]=>[6,5,4,1,2,3]=>[5,6,1,4,3,2]=>{{1,5},{2,6},{3},{4}}=>6
[5,2,6,3,1,4]=>[3,6,5,1,4,2]=>[5,1,2,6,4,3]=>{{1,5},{2},{3},{4,6}}=>6
[5,2,6,3,4,1]=>[4,5,6,3,2,1]=>[1,6,5,2,3,4]=>{{1},{2,6},{3,5},{4}}=>6
[5,2,6,4,1,3]=>[4,6,1,5,3,2]=>[4,1,6,2,5,3]=>{{1,4},{2},{3,6},{5}}=>7
[5,2,6,4,3,1]=>[3,4,6,5,2,1]=>[1,6,2,3,5,4]=>{{1},{2,6},{3},{4},{5}}=>10
[5,3,1,2,4,6]=>[3,1,5,2,4,6]=>[3,5,2,6,4,1]=>{{1,3},{2,5},{4,6}}=>4
[5,3,1,2,6,4]=>[3,1,5,6,2,4]=>[3,6,2,1,4,5]=>{{1,3},{2,6},{4},{5}}=>8
[5,3,1,4,2,6]=>[3,5,4,2,1,6]=>[6,5,2,4,3,1]=>{{1,6},{2,5},{3},{4}}=>6
[5,3,1,4,6,2]=>[3,5,6,1,2,4]=>[5,6,2,1,3,4]=>{{1,5},{2,6},{3},{4}}=>6
[5,3,1,6,2,4]=>[3,5,6,2,4,1]=>[1,5,2,6,3,4]=>{{1},{2,5},{3},{4,6}}=>6
[5,3,1,6,4,2]=>[3,5,4,6,2,1]=>[1,6,2,4,3,5]=>{{1},{2,6},{3},{4},{5}}=>10
[5,3,2,1,4,6]=>[2,3,5,1,4,6]=>[5,2,3,6,4,1]=>{{1,5},{2},{3},{4,6}}=>6
[5,3,2,1,6,4]=>[2,3,5,6,1,4]=>[6,2,3,1,4,5]=>{{1,6},{2},{3},{4},{5}}=>10
[5,3,2,4,1,6]=>[4,3,5,2,1,6]=>[6,5,3,2,4,1]=>{{1,6},{2,5},{3},{4}}=>6
[5,3,2,4,6,1]=>[6,3,5,2,4,1]=>[1,5,3,6,4,2]=>{{1},{2,5},{3},{4,6}}=>6
[5,3,2,6,1,4]=>[6,3,5,1,2,4]=>[5,6,3,1,4,2]=>{{1,5},{2,6},{3},{4}}=>6
[5,3,2,6,4,1]=>[4,3,6,5,1,2]=>[6,1,3,2,5,4]=>{{1,6},{2},{3},{4},{5}}=>10
[5,3,4,1,2,6]=>[4,1,5,3,2,6]=>[3,6,5,2,4,1]=>{{1,3,5},{2,6},{4}}=>4
[5,3,4,1,6,2]=>[4,6,5,3,1,2]=>[6,1,5,2,4,3]=>{{1,6},{2},{3,5},{4}}=>6
[5,3,4,2,1,6]=>[2,4,5,3,1,6]=>[6,2,5,3,4,1]=>{{1,6},{2},{3,5},{4}}=>6
[5,3,4,2,6,1]=>[6,4,5,3,2,1]=>[1,6,5,3,4,2]=>{{1},{2,6},{3,5},{4}}=>6
[5,3,4,6,1,2]=>[6,1,5,3,4,2]=>[3,1,5,6,4,2]=>{{1,3,5},{2},{4,6}}=>4
[5,3,4,6,2,1]=>[2,6,5,3,4,1]=>[1,2,5,6,4,3]=>{{1},{2},{3,5},{4,6}}=>6
[5,3,6,1,2,4]=>[6,1,5,2,3,4]=>[3,5,6,1,4,2]=>{{1,3,6},{2,5},{4}}=>4
[5,3,6,1,4,2]=>[6,4,5,1,3,2]=>[5,1,6,3,4,2]=>{{1,5},{2},{3,6},{4}}=>6
[5,3,6,2,1,4]=>[2,6,5,1,3,4]=>[5,2,6,1,4,3]=>{{1,5},{2},{3,6},{4}}=>6
[5,3,6,2,4,1]=>[4,6,5,2,3,1]=>[1,5,6,2,4,3]=>{{1},{2,5},{3,6},{4}}=>6
[5,3,6,4,1,2]=>[4,1,6,5,2,3]=>[3,6,1,2,5,4]=>{{1,3},{2,6},{4},{5}}=>8
[5,3,6,4,2,1]=>[2,4,6,5,1,3]=>[6,2,1,3,5,4]=>{{1,6},{2},{3},{4},{5}}=>10
[5,4,1,2,3,6]=>[4,1,2,5,3,6]=>[3,4,6,2,5,1]=>{{1,3,6},{2,4},{5}}=>5
[5,4,1,2,6,3]=>[4,1,5,6,3,2]=>[3,1,6,2,4,5]=>{{1,3,6},{2},{4},{5}}=>8
[5,4,1,3,2,6]=>[4,3,1,5,2,6]=>[4,6,3,2,5,1]=>{{1,4},{2,6},{3},{5}}=>7
[5,4,1,3,6,2]=>[4,5,1,6,2,3]=>[4,6,1,2,3,5]=>{{1,4},{2,6},{3},{5}}=>7
[5,4,1,6,2,3]=>[4,5,2,6,3,1]=>[1,4,6,2,3,5]=>{{1},{2,4},{3,6},{5}}=>7
[5,4,1,6,3,2]=>[4,3,5,6,2,1]=>[1,6,3,2,4,5]=>{{1},{2,6},{3},{4},{5}}=>10
[5,4,2,1,3,6]=>[2,4,1,5,3,6]=>[4,2,6,3,5,1]=>{{1,4},{2},{3,6},{5}}=>7
[5,4,2,1,6,3]=>[2,4,5,6,3,1]=>[1,2,6,3,4,5]=>{{1},{2},{3,6},{4},{5}}=>10
[5,4,2,3,1,6]=>[3,4,2,5,1,6]=>[6,4,2,3,5,1]=>{{1,6},{2,4},{3},{5}}=>7
[5,4,2,3,6,1]=>[6,4,2,5,3,1]=>[1,4,6,3,5,2]=>{{1},{2,4},{3,6},{5}}=>7
[5,4,2,6,1,3]=>[6,4,1,5,2,3]=>[4,6,1,3,5,2]=>{{1,4},{2,6},{3},{5}}=>7
[5,4,2,6,3,1]=>[3,6,4,5,1,2]=>[6,1,2,4,5,3]=>{{1,6},{2},{3},{4},{5}}=>10
[5,4,3,1,2,6]=>[3,1,4,5,2,6]=>[3,6,2,4,5,1]=>{{1,3},{2,6},{4},{5}}=>8
[5,4,3,1,6,2]=>[3,4,5,6,1,2]=>[6,1,2,3,4,5]=>{{1,6},{2},{3},{4},{5}}=>10
[5,4,3,2,1,6]=>[2,3,4,5,1,6]=>[6,2,3,4,5,1]=>{{1,6},{2},{3},{4},{5}}=>10
[5,4,3,2,6,1]=>[6,3,4,5,2,1]=>[1,6,3,4,5,2]=>{{1},{2,6},{3},{4},{5}}=>10
[5,4,3,6,1,2]=>[6,1,4,5,3,2]=>[3,1,6,4,5,2]=>{{1,3,6},{2},{4},{5}}=>8
[5,4,3,6,2,1]=>[2,6,4,5,3,1]=>[1,2,6,4,5,3]=>{{1},{2},{3,6},{4},{5}}=>10
[5,4,6,1,2,3]=>[6,1,2,5,4,3]=>[3,4,1,6,5,2]=>{{1,3},{2,4,6},{5}}=>5
[5,4,6,1,3,2]=>[6,3,1,5,4,2]=>[4,1,3,6,5,2]=>{{1,4,6},{2},{3},{5}}=>7
[5,4,6,2,1,3]=>[2,6,1,5,4,3]=>[4,2,1,6,5,3]=>{{1,4,6},{2},{3},{5}}=>7
[5,4,6,2,3,1]=>[3,6,2,5,4,1]=>[1,4,2,6,5,3]=>{{1},{2,4,6},{3},{5}}=>7
[5,4,6,3,1,2]=>[3,1,6,5,4,2]=>[3,1,2,6,5,4]=>{{1,3},{2},{4,6},{5}}=>8
[5,4,6,3,2,1]=>[2,3,6,5,4,1]=>[1,2,3,6,5,4]=>{{1},{2},{3},{4,6},{5}}=>10
[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>[3,4,5,1,6,2]=>{{1,3,5,6},{2,4}}=>1
[5,6,1,2,4,3]=>[6,1,4,2,5,3]=>[3,5,1,4,6,2]=>{{1,3},{2,5,6},{4}}=>4
[5,6,1,3,2,4]=>[6,3,1,2,5,4]=>[4,5,3,1,6,2]=>{{1,4},{2,5,6},{3}}=>3
[5,6,1,3,4,2]=>[6,4,1,3,5,2]=>[4,1,5,3,6,2]=>{{1,4},{2},{3,5,6}}=>3
[5,6,1,4,2,3]=>[6,4,2,1,5,3]=>[5,4,1,3,6,2]=>{{1,5,6},{2,4},{3}}=>3
[5,6,1,4,3,2]=>[6,3,4,1,5,2]=>[5,1,3,4,6,2]=>{{1,5,6},{2},{3},{4}}=>6
[5,6,2,1,3,4]=>[2,6,1,3,5,4]=>[4,2,5,1,6,3]=>{{1,4},{2},{3,5,6}}=>3
[5,6,2,1,4,3]=>[2,6,4,1,5,3]=>[5,2,1,4,6,3]=>{{1,5,6},{2},{3},{4}}=>6
[5,6,2,3,1,4]=>[3,6,2,1,5,4]=>[5,4,2,1,6,3]=>{{1,5,6},{2,4},{3}}=>3
[5,6,2,3,4,1]=>[4,6,2,3,5,1]=>[1,4,5,2,6,3]=>{{1},{2,4},{3,5,6}}=>3
[5,6,2,4,1,3]=>[4,6,1,2,5,3]=>[4,5,1,2,6,3]=>{{1,4},{2,5,6},{3}}=>3
[5,6,2,4,3,1]=>[3,4,6,1,5,2]=>[5,1,2,3,6,4]=>{{1,5,6},{2},{3},{4}}=>6
[5,6,3,1,2,4]=>[3,1,6,2,5,4]=>[3,5,2,1,6,4]=>{{1,3},{2,5,6},{4}}=>4
[5,6,3,1,4,2]=>[3,6,4,2,5,1]=>[1,5,2,4,6,3]=>{{1},{2,5,6},{3},{4}}=>6
[5,6,3,2,1,4]=>[2,3,6,1,5,4]=>[5,2,3,1,6,4]=>{{1,5,6},{2},{3},{4}}=>6
[5,6,3,2,4,1]=>[4,3,6,2,5,1]=>[1,5,3,2,6,4]=>{{1},{2,5,6},{3},{4}}=>6
[5,6,3,4,1,2]=>[4,1,6,3,5,2]=>[3,1,5,2,6,4]=>{{1,3,5,6},{2},{4}}=>4
[5,6,3,4,2,1]=>[2,4,6,3,5,1]=>[1,2,5,3,6,4]=>{{1},{2},{3,5,6},{4}}=>6
[5,6,4,1,2,3]=>[4,1,2,6,5,3]=>[3,4,1,2,6,5]=>{{1,3},{2,4},{5,6}}=>5
[5,6,4,1,3,2]=>[4,3,1,6,5,2]=>[4,1,3,2,6,5]=>{{1,4},{2},{3},{5,6}}=>7
[5,6,4,2,1,3]=>[2,4,1,6,5,3]=>[4,2,1,3,6,5]=>{{1,4},{2},{3},{5,6}}=>7
[5,6,4,2,3,1]=>[3,4,2,6,5,1]=>[1,4,2,3,6,5]=>{{1},{2,4},{3},{5,6}}=>7
[5,6,4,3,1,2]=>[3,1,4,6,5,2]=>[3,1,2,4,6,5]=>{{1,3},{2},{4},{5,6}}=>8
[5,6,4,3,2,1]=>[2,3,4,6,5,1]=>[1,2,3,4,6,5]=>{{1},{2},{3},{4},{5,6}}=>10
[6,1,2,3,4,5]=>[6,1,2,3,4,5]=>[3,4,5,6,1,2]=>{{1,3,5},{2,4,6}}=>1
[6,1,2,3,5,4]=>[6,1,2,5,3,4]=>[3,4,6,1,5,2]=>{{1,3,6},{2,4},{5}}=>5
[6,1,2,4,3,5]=>[6,1,4,2,3,5]=>[3,5,6,4,1,2]=>{{1,3,6},{2,5},{4}}=>4
[6,1,2,4,5,3]=>[6,1,5,2,4,3]=>[3,5,1,6,4,2]=>{{1,3},{2,5},{4,6}}=>4
[6,1,2,5,3,4]=>[6,1,5,3,2,4]=>[3,6,5,1,4,2]=>{{1,3,5},{2,6},{4}}=>4
[6,1,2,5,4,3]=>[6,1,4,5,2,3]=>[3,6,1,4,5,2]=>{{1,3},{2,6},{4},{5}}=>8
[6,1,3,2,4,5]=>[6,3,1,2,4,5]=>[4,5,3,6,1,2]=>{{1,4,6},{2,5},{3}}=>3
[6,1,3,2,5,4]=>[6,3,1,5,2,4]=>[4,6,3,1,5,2]=>{{1,4},{2,6},{3},{5}}=>7
[6,1,3,4,2,5]=>[6,4,1,3,2,5]=>[4,6,5,3,1,2]=>{{1,4},{2,6},{3,5}}=>3
[6,1,3,4,5,2]=>[6,5,1,2,3,4]=>[4,5,6,1,3,2]=>{{1,4},{2,5},{3,6}}=>3
[6,1,3,5,2,4]=>[6,5,1,3,4,2]=>[4,1,5,6,3,2]=>{{1,4,6},{2},{3,5}}=>3
[6,1,3,5,4,2]=>[6,4,1,5,3,2]=>[4,1,6,3,5,2]=>{{1,4},{2},{3,6},{5}}=>7
[6,1,4,2,3,5]=>[6,4,2,1,3,5]=>[5,4,6,3,1,2]=>{{1,5},{2,4},{3,6}}=>3
[6,1,4,2,5,3]=>[6,4,5,1,2,3]=>[5,6,1,3,4,2]=>{{1,5},{2,6},{3},{4}}=>6
[6,1,4,3,2,5]=>[6,3,4,1,2,5]=>[5,6,3,4,1,2]=>{{1,5},{2,6},{3},{4}}=>6
[6,1,4,3,5,2]=>[6,5,4,1,3,2]=>[5,1,6,4,3,2]=>{{1,5},{2},{3,6},{4}}=>6
[6,1,4,5,2,3]=>[6,5,2,1,4,3]=>[5,4,1,6,3,2]=>{{1,5},{2,4,6},{3}}=>3
[6,1,4,5,3,2]=>[6,3,5,1,4,2]=>[5,1,3,6,4,2]=>{{1,5},{2},{3},{4,6}}=>6
[6,1,5,2,3,4]=>[6,5,2,3,1,4]=>[6,4,5,1,3,2]=>{{1,6},{2,4},{3,5}}=>3
[6,1,5,2,4,3]=>[6,5,4,2,1,3]=>[6,5,1,4,3,2]=>{{1,6},{2,5},{3},{4}}=>6
[6,1,5,3,2,4]=>[6,3,5,2,1,4]=>[6,5,3,1,4,2]=>{{1,6},{2,5},{3},{4}}=>6
[6,1,5,3,4,2]=>[6,4,5,3,1,2]=>[6,1,5,3,4,2]=>{{1,6},{2},{3,5},{4}}=>6
[6,1,5,4,2,3]=>[6,4,2,5,1,3]=>[6,4,1,3,5,2]=>{{1,6},{2,4},{3},{5}}=>7
[6,1,5,4,3,2]=>[6,3,4,5,1,2]=>[6,1,3,4,5,2]=>{{1,6},{2},{3},{4},{5}}=>10
[6,2,1,3,4,5]=>[2,6,1,3,4,5]=>[4,2,5,6,1,3]=>{{1,4,6},{2},{3,5}}=>3
[6,2,1,3,5,4]=>[2,6,1,5,3,4]=>[4,2,6,1,5,3]=>{{1,4},{2},{3,6},{5}}=>7
[6,2,1,4,3,5]=>[2,6,4,1,3,5]=>[5,2,6,4,1,3]=>{{1,5},{2},{3,6},{4}}=>6
[6,2,1,4,5,3]=>[2,6,5,1,4,3]=>[5,2,1,6,4,3]=>{{1,5},{2},{3},{4,6}}=>6
[6,2,1,5,3,4]=>[2,6,5,3,1,4]=>[6,2,5,1,4,3]=>{{1,6},{2},{3,5},{4}}=>6
[6,2,1,5,4,3]=>[2,6,4,5,1,3]=>[6,2,1,4,5,3]=>{{1,6},{2},{3},{4},{5}}=>10
[6,2,3,1,4,5]=>[3,6,2,1,4,5]=>[5,4,2,6,1,3]=>{{1,5},{2,4,6},{3}}=>3
[6,2,3,1,5,4]=>[3,6,2,5,1,4]=>[6,4,2,1,5,3]=>{{1,6},{2,4},{3},{5}}=>7
[6,2,3,4,1,5]=>[4,6,2,3,1,5]=>[6,4,5,2,1,3]=>{{1,6},{2,4},{3,5}}=>3
[6,2,3,4,5,1]=>[5,6,2,3,4,1]=>[1,4,5,6,2,3]=>{{1},{2,4,6},{3,5}}=>3
[6,2,3,5,1,4]=>[5,6,2,1,3,4]=>[5,4,6,1,2,3]=>{{1,5},{2,4},{3,6}}=>3
[6,2,3,5,4,1]=>[4,5,2,6,1,3]=>[6,4,1,2,3,5]=>{{1,6},{2,4},{3},{5}}=>7
[6,2,4,1,3,5]=>[4,6,1,2,3,5]=>[4,5,6,2,1,3]=>{{1,4},{2,5},{3,6}}=>3
[6,2,4,1,5,3]=>[4,6,5,2,1,3]=>[6,5,1,2,4,3]=>{{1,6},{2,5},{3},{4}}=>6
[6,2,4,3,1,5]=>[3,4,6,1,2,5]=>[5,6,2,3,1,4]=>{{1,5},{2,6},{3},{4}}=>6
[6,2,4,3,5,1]=>[5,6,4,2,3,1]=>[1,5,6,4,2,3]=>{{1},{2,5},{3,6},{4}}=>6
[6,2,4,5,1,3]=>[5,6,1,3,2,4]=>[4,6,5,1,2,3]=>{{1,4},{2,6},{3,5}}=>3
[6,2,4,5,3,1]=>[3,5,6,2,1,4]=>[6,5,2,1,3,4]=>{{1,6},{2,5},{3},{4}}=>6
[6,2,5,1,3,4]=>[5,6,1,2,4,3]=>[4,5,1,6,2,3]=>{{1,4,6},{2,5},{3}}=>3
[6,2,5,1,4,3]=>[5,6,4,1,2,3]=>[5,6,1,4,2,3]=>{{1,5},{2,6},{3},{4}}=>6
[6,2,5,3,1,4]=>[3,5,6,1,4,2]=>[5,1,2,6,3,4]=>{{1,5},{2},{3},{4,6}}=>6
[6,2,5,3,4,1]=>[4,6,5,3,2,1]=>[1,6,5,2,4,3]=>{{1},{2,6},{3,5},{4}}=>6
[6,2,5,4,1,3]=>[4,5,1,6,3,2]=>[4,1,6,2,3,5]=>{{1,4},{2},{3,6},{5}}=>7
[6,2,5,4,3,1]=>[3,4,5,6,2,1]=>[1,6,2,3,4,5]=>{{1},{2,6},{3},{4},{5}}=>10
[6,3,1,2,4,5]=>[3,1,6,2,4,5]=>[3,5,2,6,1,4]=>{{1,3},{2,5},{4,6}}=>4
[6,3,1,2,5,4]=>[3,1,6,5,2,4]=>[3,6,2,1,5,4]=>{{1,3},{2,6},{4},{5}}=>8
[6,3,1,4,2,5]=>[3,6,4,2,1,5]=>[6,5,2,4,1,3]=>{{1,6},{2,5},{3},{4}}=>6
[6,3,1,4,5,2]=>[3,6,5,1,2,4]=>[5,6,2,1,4,3]=>{{1,5},{2,6},{3},{4}}=>6
[6,3,1,5,2,4]=>[3,6,5,2,4,1]=>[1,5,2,6,4,3]=>{{1},{2,5},{3},{4,6}}=>6
[6,3,1,5,4,2]=>[3,6,4,5,2,1]=>[1,6,2,4,5,3]=>{{1},{2,6},{3},{4},{5}}=>10
[6,3,2,1,4,5]=>[2,3,6,1,4,5]=>[5,2,3,6,1,4]=>{{1,5},{2},{3},{4,6}}=>6
[6,3,2,1,5,4]=>[2,3,6,5,1,4]=>[6,2,3,1,5,4]=>{{1,6},{2},{3},{4},{5}}=>10
[6,3,2,4,1,5]=>[4,3,6,2,1,5]=>[6,5,3,2,1,4]=>{{1,6},{2,5},{3},{4}}=>6
[6,3,2,4,5,1]=>[5,3,6,2,4,1]=>[1,5,3,6,2,4]=>{{1},{2,5},{3},{4,6}}=>6
[6,3,2,5,1,4]=>[5,3,6,1,2,4]=>[5,6,3,1,2,4]=>{{1,5},{2,6},{3},{4}}=>6
[6,3,2,5,4,1]=>[4,3,5,6,1,2]=>[6,1,3,2,4,5]=>{{1,6},{2},{3},{4},{5}}=>10
[6,3,4,1,2,5]=>[4,1,6,3,2,5]=>[3,6,5,2,1,4]=>{{1,3,5},{2,6},{4}}=>4
[6,3,4,1,5,2]=>[4,5,6,3,1,2]=>[6,1,5,2,3,4]=>{{1,6},{2},{3,5},{4}}=>6
[6,3,4,2,1,5]=>[2,4,6,3,1,5]=>[6,2,5,3,1,4]=>{{1,6},{2},{3,5},{4}}=>6
[6,3,4,2,5,1]=>[5,4,6,3,2,1]=>[1,6,5,3,2,4]=>{{1},{2,6},{3,5},{4}}=>6
[6,3,4,5,1,2]=>[5,1,6,3,4,2]=>[3,1,5,6,2,4]=>{{1,3,5},{2},{4,6}}=>4
[6,3,4,5,2,1]=>[2,5,6,3,4,1]=>[1,2,5,6,3,4]=>{{1},{2},{3,5},{4,6}}=>6
[6,3,5,1,2,4]=>[5,1,6,2,3,4]=>[3,5,6,1,2,4]=>{{1,3,6},{2,5},{4}}=>4
[6,3,5,1,4,2]=>[5,4,6,1,3,2]=>[5,1,6,3,2,4]=>{{1,5},{2},{3,6},{4}}=>6
[6,3,5,2,1,4]=>[2,5,6,1,3,4]=>[5,2,6,1,3,4]=>{{1,5},{2},{3,6},{4}}=>6
[6,3,5,2,4,1]=>[4,5,6,2,3,1]=>[1,5,6,2,3,4]=>{{1},{2,5},{3,6},{4}}=>6
[6,3,5,4,1,2]=>[4,1,5,6,2,3]=>[3,6,1,2,4,5]=>{{1,3},{2,6},{4},{5}}=>8
[6,3,5,4,2,1]=>[2,4,5,6,1,3]=>[6,2,1,3,4,5]=>{{1,6},{2},{3},{4},{5}}=>10
[6,4,1,2,3,5]=>[4,1,2,6,3,5]=>[3,4,6,2,1,5]=>{{1,3,6},{2,4},{5}}=>5
[6,4,1,2,5,3]=>[4,1,6,5,3,2]=>[3,1,6,2,5,4]=>{{1,3,6},{2},{4},{5}}=>8
[6,4,1,3,2,5]=>[4,3,1,6,2,5]=>[4,6,3,2,1,5]=>{{1,4},{2,6},{3},{5}}=>7
[6,4,1,3,5,2]=>[4,6,1,5,2,3]=>[4,6,1,2,5,3]=>{{1,4},{2,6},{3},{5}}=>7
[6,4,1,5,2,3]=>[4,6,2,5,3,1]=>[1,4,6,2,5,3]=>{{1},{2,4},{3,6},{5}}=>7
[6,4,1,5,3,2]=>[4,3,6,5,2,1]=>[1,6,3,2,5,4]=>{{1},{2,6},{3},{4},{5}}=>10
[6,4,2,1,3,5]=>[2,4,1,6,3,5]=>[4,2,6,3,1,5]=>{{1,4},{2},{3,6},{5}}=>7
[6,4,2,1,5,3]=>[2,4,6,5,3,1]=>[1,2,6,3,5,4]=>{{1},{2},{3,6},{4},{5}}=>10
[6,4,2,3,1,5]=>[3,4,2,6,1,5]=>[6,4,2,3,1,5]=>{{1,6},{2,4},{3},{5}}=>7
[6,4,2,3,5,1]=>[5,4,2,6,3,1]=>[1,4,6,3,2,5]=>{{1},{2,4},{3,6},{5}}=>7
[6,4,2,5,1,3]=>[5,4,1,6,2,3]=>[4,6,1,3,2,5]=>{{1,4},{2,6},{3},{5}}=>7
[6,4,2,5,3,1]=>[3,5,4,6,1,2]=>[6,1,2,4,3,5]=>{{1,6},{2},{3},{4},{5}}=>10
[6,4,3,1,2,5]=>[3,1,4,6,2,5]=>[3,6,2,4,1,5]=>{{1,3},{2,6},{4},{5}}=>8
[6,4,3,1,5,2]=>[3,4,6,5,1,2]=>[6,1,2,3,5,4]=>{{1,6},{2},{3},{4},{5}}=>10
[6,4,3,2,1,5]=>[2,3,4,6,1,5]=>[6,2,3,4,1,5]=>{{1,6},{2},{3},{4},{5}}=>10
[6,4,3,2,5,1]=>[5,3,4,6,2,1]=>[1,6,3,4,2,5]=>{{1},{2,6},{3},{4},{5}}=>10
[6,4,3,5,1,2]=>[5,1,4,6,3,2]=>[3,1,6,4,2,5]=>{{1,3,6},{2},{4},{5}}=>8
[6,4,3,5,2,1]=>[2,5,4,6,3,1]=>[1,2,6,4,3,5]=>{{1},{2},{3,6},{4},{5}}=>10
[6,4,5,1,2,3]=>[5,1,2,6,4,3]=>[3,4,1,6,2,5]=>{{1,3},{2,4,6},{5}}=>5
[6,4,5,1,3,2]=>[5,3,1,6,4,2]=>[4,1,3,6,2,5]=>{{1,4,6},{2},{3},{5}}=>7
[6,4,5,2,1,3]=>[2,5,1,6,4,3]=>[4,2,1,6,3,5]=>{{1,4,6},{2},{3},{5}}=>7
[6,4,5,2,3,1]=>[3,5,2,6,4,1]=>[1,4,2,6,3,5]=>{{1},{2,4,6},{3},{5}}=>7
[6,4,5,3,1,2]=>[3,1,5,6,4,2]=>[3,1,2,6,4,5]=>{{1,3},{2},{4,6},{5}}=>8
[6,4,5,3,2,1]=>[2,3,5,6,4,1]=>[1,2,3,6,4,5]=>{{1},{2},{3},{4,6},{5}}=>10
[6,5,1,2,3,4]=>[5,1,2,3,6,4]=>[3,4,5,1,2,6]=>{{1,3,5},{2,4},{6}}=>6
[6,5,1,2,4,3]=>[5,1,4,2,6,3]=>[3,5,1,4,2,6]=>{{1,3},{2,5},{4},{6}}=>9
[6,5,1,3,2,4]=>[5,3,1,2,6,4]=>[4,5,3,1,2,6]=>{{1,4},{2,5},{3},{6}}=>8
[6,5,1,3,4,2]=>[5,4,1,3,6,2]=>[4,1,5,3,2,6]=>{{1,4},{2},{3,5},{6}}=>8
[6,5,1,4,2,3]=>[5,4,2,1,6,3]=>[5,4,1,3,2,6]=>{{1,5},{2,4},{3},{6}}=>8
[6,5,1,4,3,2]=>[5,3,4,1,6,2]=>[5,1,3,4,2,6]=>{{1,5},{2},{3},{4},{6}}=>11
[6,5,2,1,3,4]=>[2,5,1,3,6,4]=>[4,2,5,1,3,6]=>{{1,4},{2},{3,5},{6}}=>8
[6,5,2,1,4,3]=>[2,5,4,1,6,3]=>[5,2,1,4,3,6]=>{{1,5},{2},{3},{4},{6}}=>11
[6,5,2,3,1,4]=>[3,5,2,1,6,4]=>[5,4,2,1,3,6]=>{{1,5},{2,4},{3},{6}}=>8
[6,5,2,3,4,1]=>[4,5,2,3,6,1]=>[1,4,5,2,3,6]=>{{1},{2,4},{3,5},{6}}=>8
[6,5,2,4,1,3]=>[4,5,1,2,6,3]=>[4,5,1,2,3,6]=>{{1,4},{2,5},{3},{6}}=>8
[6,5,2,4,3,1]=>[3,4,5,1,6,2]=>[5,1,2,3,4,6]=>{{1,5},{2},{3},{4},{6}}=>11
[6,5,3,1,2,4]=>[3,1,5,2,6,4]=>[3,5,2,1,4,6]=>{{1,3},{2,5},{4},{6}}=>9
[6,5,3,1,4,2]=>[3,5,4,2,6,1]=>[1,5,2,4,3,6]=>{{1},{2,5},{3},{4},{6}}=>11
[6,5,3,2,1,4]=>[2,3,5,1,6,4]=>[5,2,3,1,4,6]=>{{1,5},{2},{3},{4},{6}}=>11
[6,5,3,2,4,1]=>[4,3,5,2,6,1]=>[1,5,3,2,4,6]=>{{1},{2,5},{3},{4},{6}}=>11
[6,5,3,4,1,2]=>[4,1,5,3,6,2]=>[3,1,5,2,4,6]=>{{1,3,5},{2},{4},{6}}=>9
[6,5,3,4,2,1]=>[2,4,5,3,6,1]=>[1,2,5,3,4,6]=>{{1},{2},{3,5},{4},{6}}=>11
[6,5,4,1,2,3]=>[4,1,2,5,6,3]=>[3,4,1,2,5,6]=>{{1,3},{2,4},{5},{6}}=>10
[6,5,4,1,3,2]=>[4,3,1,5,6,2]=>[4,1,3,2,5,6]=>{{1,4},{2},{3},{5},{6}}=>12
[6,5,4,2,1,3]=>[2,4,1,5,6,3]=>[4,2,1,3,5,6]=>{{1,4},{2},{3},{5},{6}}=>12
[6,5,4,2,3,1]=>[3,4,2,5,6,1]=>[1,4,2,3,5,6]=>{{1},{2,4},{3},{5},{6}}=>12
[6,5,4,3,1,2]=>[3,1,4,5,6,2]=>[3,1,2,4,5,6]=>{{1,3},{2},{4},{5},{6}}=>13
[6,5,4,3,2,1]=>[2,3,4,5,6,1]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>15
[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>{{1,2,3,4,5,6,7}}=>0
[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[2,3,4,5,6,1,7]=>{{1,2,3,4,5,6},{7}}=>6
[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[2,3,4,5,7,6,1]=>{{1,2,3,4,5,7},{6}}=>5
[1,2,3,4,6,7,5]=>[1,2,3,4,7,6,5]=>[2,3,4,5,1,7,6]=>{{1,2,3,4,5},{6,7}}=>5
[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[2,3,4,5,7,1,6]=>{{1,2,3,4,5,7},{6}}=>5
[1,2,3,4,7,6,5]=>[1,2,3,4,6,7,5]=>[2,3,4,5,1,6,7]=>{{1,2,3,4,5},{6},{7}}=>11
[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[2,3,4,6,5,7,1]=>{{1,2,3,4,6,7},{5}}=>4
[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]=>[2,3,4,6,5,1,7]=>{{1,2,3,4,6},{5},{7}}=>10
[1,2,3,5,6,4,7]=>[1,2,3,6,5,4,7]=>[2,3,4,7,6,5,1]=>{{1,2,3,4,7},{5,6}}=>4
[1,2,3,5,6,7,4]=>[1,2,3,7,5,6,4]=>[2,3,4,1,6,7,5]=>{{1,2,3,4},{5,6,7}}=>4
[1,2,3,5,7,4,6]=>[1,2,3,7,5,4,6]=>[2,3,4,7,6,1,5]=>{{1,2,3,4,7},{5,6}}=>4
[1,2,3,5,7,6,4]=>[1,2,3,6,5,7,4]=>[2,3,4,1,6,5,7]=>{{1,2,3,4},{5,6},{7}}=>10
[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>[2,3,4,6,7,5,1]=>{{1,2,3,4,6},{5,7}}=>4
[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]=>[2,3,4,7,1,5,6]=>{{1,2,3,4,7},{5},{6}}=>9
[1,2,3,6,5,4,7]=>[1,2,3,5,6,4,7]=>[2,3,4,7,5,6,1]=>{{1,2,3,4,7},{5},{6}}=>9
[1,2,3,6,5,7,4]=>[1,2,3,7,6,5,4]=>[2,3,4,1,7,6,5]=>{{1,2,3,4},{5,7},{6}}=>9
[1,2,3,6,7,4,5]=>[1,2,3,7,4,6,5]=>[2,3,4,6,1,7,5]=>{{1,2,3,4,6,7},{5}}=>4
[1,2,3,6,7,5,4]=>[1,2,3,5,7,6,4]=>[2,3,4,1,5,7,6]=>{{1,2,3,4},{5},{6,7}}=>9
[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[2,3,4,6,7,1,5]=>{{1,2,3,4,6},{5,7}}=>4
[1,2,3,7,4,6,5]=>[1,2,3,7,6,4,5]=>[2,3,4,7,1,6,5]=>{{1,2,3,4,7},{5},{6}}=>9
[1,2,3,7,5,4,6]=>[1,2,3,5,7,4,6]=>[2,3,4,7,5,1,6]=>{{1,2,3,4,7},{5},{6}}=>9
[1,2,3,7,5,6,4]=>[1,2,3,6,7,5,4]=>[2,3,4,1,7,5,6]=>{{1,2,3,4},{5,7},{6}}=>9
[1,2,3,7,6,4,5]=>[1,2,3,6,4,7,5]=>[2,3,4,6,1,5,7]=>{{1,2,3,4,6},{5},{7}}=>10
[1,2,3,7,6,5,4]=>[1,2,3,5,6,7,4]=>[2,3,4,1,5,6,7]=>{{1,2,3,4},{5},{6},{7}}=>15
[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[2,3,5,4,6,7,1]=>{{1,2,3,5,6,7},{4}}=>3
[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]=>[2,3,5,4,6,1,7]=>{{1,2,3,5,6},{4},{7}}=>9
[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>[2,3,5,4,7,6,1]=>{{1,2,3,5,7},{4},{6}}=>8
[1,2,4,3,6,7,5]=>[1,2,4,3,7,6,5]=>[2,3,5,4,1,7,6]=>{{1,2,3,5},{4},{6,7}}=>8
[1,2,4,3,7,5,6]=>[1,2,4,3,7,5,6]=>[2,3,5,4,7,1,6]=>{{1,2,3,5,7},{4},{6}}=>8
[1,2,4,3,7,6,5]=>[1,2,4,3,6,7,5]=>[2,3,5,4,1,6,7]=>{{1,2,3,5},{4},{6},{7}}=>14
[1,2,4,5,3,6,7]=>[1,2,5,4,3,6,7]=>[2,3,6,5,4,7,1]=>{{1,2,3,6,7},{4,5}}=>3
[1,2,4,5,3,7,6]=>[1,2,5,4,3,7,6]=>[2,3,6,5,4,1,7]=>{{1,2,3,6},{4,5},{7}}=>9
[1,2,4,5,6,3,7]=>[1,2,6,4,5,3,7]=>[2,3,7,5,6,4,1]=>{{1,2,3,7},{4,5,6}}=>3
[1,2,4,5,6,7,3]=>[1,2,7,4,5,6,3]=>[2,3,1,5,6,7,4]=>{{1,2,3},{4,5,6,7}}=>3
[1,2,4,5,7,3,6]=>[1,2,7,4,5,3,6]=>[2,3,7,5,6,1,4]=>{{1,2,3,7},{4,5,6}}=>3
[1,2,4,5,7,6,3]=>[1,2,6,4,5,7,3]=>[2,3,1,5,6,4,7]=>{{1,2,3},{4,5,6},{7}}=>9
[1,2,4,6,3,5,7]=>[1,2,6,4,3,5,7]=>[2,3,6,5,7,4,1]=>{{1,2,3,6},{4,5,7}}=>3
[1,2,4,6,3,7,5]=>[1,2,6,4,7,3,5]=>[2,3,7,5,1,4,6]=>{{1,2,3,7},{4,5},{6}}=>8
[1,2,4,6,5,3,7]=>[1,2,5,4,6,3,7]=>[2,3,7,5,4,6,1]=>{{1,2,3,7},{4,5},{6}}=>8
[1,2,4,6,5,7,3]=>[1,2,7,4,6,5,3]=>[2,3,1,5,7,6,4]=>{{1,2,3},{4,5,7},{6}}=>8
[1,2,4,6,7,3,5]=>[1,2,7,4,3,6,5]=>[2,3,6,5,1,7,4]=>{{1,2,3,6,7},{4,5}}=>3
[1,2,4,6,7,5,3]=>[1,2,5,4,7,6,3]=>[2,3,1,5,4,7,6]=>{{1,2,3},{4,5},{6,7}}=>8
[1,2,4,7,3,5,6]=>[1,2,7,4,3,5,6]=>[2,3,6,5,7,1,4]=>{{1,2,3,6},{4,5,7}}=>3
[1,2,4,7,3,6,5]=>[1,2,7,4,6,3,5]=>[2,3,7,5,1,6,4]=>{{1,2,3,7},{4,5},{6}}=>8
[1,2,4,7,5,3,6]=>[1,2,5,4,7,3,6]=>[2,3,7,5,4,1,6]=>{{1,2,3,7},{4,5},{6}}=>8
[1,2,4,7,5,6,3]=>[1,2,6,4,7,5,3]=>[2,3,1,5,7,4,6]=>{{1,2,3},{4,5,7},{6}}=>8
[1,2,4,7,6,3,5]=>[1,2,6,4,3,7,5]=>[2,3,6,5,1,4,7]=>{{1,2,3,6},{4,5},{7}}=>9
[1,2,4,7,6,5,3]=>[1,2,5,4,6,7,3]=>[2,3,1,5,4,6,7]=>{{1,2,3},{4,5},{6},{7}}=>14
[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[2,3,5,6,4,7,1]=>{{1,2,3,5},{4,6,7}}=>3
[1,2,5,3,4,7,6]=>[1,2,5,3,4,7,6]=>[2,3,5,6,4,1,7]=>{{1,2,3,5},{4,6},{7}}=>9
[1,2,5,3,6,4,7]=>[1,2,5,6,3,4,7]=>[2,3,6,7,4,5,1]=>{{1,2,3,6},{4,7},{5}}=>7
[1,2,5,3,6,7,4]=>[1,2,5,7,3,6,4]=>[2,3,6,1,4,7,5]=>{{1,2,3,6,7},{4},{5}}=>7
[1,2,5,3,7,4,6]=>[1,2,5,7,3,4,6]=>[2,3,6,7,4,1,5]=>{{1,2,3,6},{4,7},{5}}=>7
[1,2,5,3,7,6,4]=>[1,2,5,6,3,7,4]=>[2,3,6,1,4,5,7]=>{{1,2,3,6},{4},{5},{7}}=>13
[1,2,5,4,3,6,7]=>[1,2,4,5,3,6,7]=>[2,3,6,4,5,7,1]=>{{1,2,3,6,7},{4},{5}}=>7
[1,2,5,4,3,7,6]=>[1,2,4,5,3,7,6]=>[2,3,6,4,5,1,7]=>{{1,2,3,6},{4},{5},{7}}=>13
[1,2,5,4,6,3,7]=>[1,2,6,5,4,3,7]=>[2,3,7,6,5,4,1]=>{{1,2,3,7},{4,6},{5}}=>7
[1,2,5,4,6,7,3]=>[1,2,7,5,4,6,3]=>[2,3,1,6,5,7,4]=>{{1,2,3},{4,6,7},{5}}=>7
[1,2,5,4,7,3,6]=>[1,2,7,5,4,3,6]=>[2,3,7,6,5,1,4]=>{{1,2,3,7},{4,6},{5}}=>7
[1,2,5,4,7,6,3]=>[1,2,6,5,4,7,3]=>[2,3,1,6,5,4,7]=>{{1,2,3},{4,6},{5},{7}}=>13
[1,2,5,6,3,4,7]=>[1,2,6,3,5,4,7]=>[2,3,5,7,6,4,1]=>{{1,2,3,5,6},{4,7}}=>3
[1,2,5,6,3,7,4]=>[1,2,6,7,5,3,4]=>[2,3,7,1,6,4,5]=>{{1,2,3,7},{4},{5,6}}=>7
[1,2,5,6,4,3,7]=>[1,2,4,6,5,3,7]=>[2,3,7,4,6,5,1]=>{{1,2,3,7},{4},{5,6}}=>7
[1,2,5,6,4,7,3]=>[1,2,7,6,5,4,3]=>[2,3,1,7,6,5,4]=>{{1,2,3},{4,7},{5,6}}=>7
[1,2,5,6,7,3,4]=>[1,2,7,3,5,6,4]=>[2,3,5,1,6,7,4]=>{{1,2,3,5,6,7},{4}}=>3
[1,2,5,6,7,4,3]=>[1,2,4,7,5,6,3]=>[2,3,1,4,6,7,5]=>{{1,2,3},{4},{5,6,7}}=>7
[1,2,5,7,3,4,6]=>[1,2,7,3,5,4,6]=>[2,3,5,7,6,1,4]=>{{1,2,3,5,6},{4,7}}=>3
[1,2,5,7,3,6,4]=>[1,2,7,6,5,3,4]=>[2,3,7,1,6,5,4]=>{{1,2,3,7},{4},{5,6}}=>7
[1,2,5,7,4,3,6]=>[1,2,4,7,5,3,6]=>[2,3,7,4,6,1,5]=>{{1,2,3,7},{4},{5,6}}=>7
[1,2,5,7,4,6,3]=>[1,2,6,7,5,4,3]=>[2,3,1,7,6,4,5]=>{{1,2,3},{4,7},{5,6}}=>7
[1,2,5,7,6,3,4]=>[1,2,6,3,5,7,4]=>[2,3,5,1,6,4,7]=>{{1,2,3,5,6},{4},{7}}=>9
[1,2,5,7,6,4,3]=>[1,2,4,6,5,7,3]=>[2,3,1,4,6,5,7]=>{{1,2,3},{4},{5,6},{7}}=>13
[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[2,3,5,6,7,4,1]=>{{1,2,3,5,7},{4,6}}=>3
[1,2,6,3,4,7,5]=>[1,2,6,3,7,4,5]=>[2,3,5,7,1,4,6]=>{{1,2,3,5},{4,7},{6}}=>8
[1,2,6,3,5,4,7]=>[1,2,6,5,3,4,7]=>[2,3,6,7,5,4,1]=>{{1,2,3,6},{4,7},{5}}=>7
[1,2,6,3,5,7,4]=>[1,2,6,7,3,5,4]=>[2,3,6,1,7,4,5]=>{{1,2,3,6},{4},{5,7}}=>7
[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>[2,3,7,6,1,4,5]=>{{1,2,3,7},{4,6},{5}}=>7
[1,2,6,3,7,5,4]=>[1,2,6,5,7,3,4]=>[2,3,7,1,5,4,6]=>{{1,2,3,7},{4},{5},{6}}=>12
[1,2,6,4,3,5,7]=>[1,2,4,6,3,5,7]=>[2,3,6,4,7,5,1]=>{{1,2,3,6},{4},{5,7}}=>7
[1,2,6,4,3,7,5]=>[1,2,4,6,7,3,5]=>[2,3,7,4,1,5,6]=>{{1,2,3,7},{4},{5},{6}}=>12
[1,2,6,4,5,3,7]=>[1,2,5,6,4,3,7]=>[2,3,7,6,4,5,1]=>{{1,2,3,7},{4,6},{5}}=>7
[1,2,6,4,5,7,3]=>[1,2,7,6,4,5,3]=>[2,3,1,6,7,5,4]=>{{1,2,3},{4,6},{5,7}}=>7
[1,2,6,4,7,3,5]=>[1,2,7,6,3,4,5]=>[2,3,6,7,1,5,4]=>{{1,2,3,6},{4,7},{5}}=>7
[1,2,6,4,7,5,3]=>[1,2,5,7,6,3,4]=>[2,3,7,1,4,6,5]=>{{1,2,3,7},{4},{5},{6}}=>12
[1,2,6,5,3,4,7]=>[1,2,5,3,6,4,7]=>[2,3,5,7,4,6,1]=>{{1,2,3,5},{4,7},{6}}=>8
[1,2,6,5,3,7,4]=>[1,2,5,6,7,4,3]=>[2,3,1,7,4,5,6]=>{{1,2,3},{4,7},{5},{6}}=>12
[1,2,6,5,4,3,7]=>[1,2,4,5,6,3,7]=>[2,3,7,4,5,6,1]=>{{1,2,3,7},{4},{5},{6}}=>12
[1,2,6,5,4,7,3]=>[1,2,7,5,6,4,3]=>[2,3,1,7,5,6,4]=>{{1,2,3},{4,7},{5},{6}}=>12
[1,2,6,5,7,3,4]=>[1,2,7,3,6,5,4]=>[2,3,5,1,7,6,4]=>{{1,2,3,5,7},{4},{6}}=>8
[1,2,6,5,7,4,3]=>[1,2,4,7,6,5,3]=>[2,3,1,4,7,6,5]=>{{1,2,3},{4},{5,7},{6}}=>12
[1,2,6,7,3,4,5]=>[1,2,7,3,4,6,5]=>[2,3,5,6,1,7,4]=>{{1,2,3,5},{4,6,7}}=>3
[1,2,6,7,3,5,4]=>[1,2,7,5,3,6,4]=>[2,3,6,1,5,7,4]=>{{1,2,3,6,7},{4},{5}}=>7
[1,2,6,7,4,3,5]=>[1,2,4,7,3,6,5]=>[2,3,6,4,1,7,5]=>{{1,2,3,6,7},{4},{5}}=>7
[1,2,6,7,4,5,3]=>[1,2,5,7,4,6,3]=>[2,3,1,6,4,7,5]=>{{1,2,3},{4,6,7},{5}}=>7
[1,2,6,7,5,3,4]=>[1,2,5,3,7,6,4]=>[2,3,5,1,4,7,6]=>{{1,2,3,5},{4},{6,7}}=>8
[1,2,6,7,5,4,3]=>[1,2,4,5,7,6,3]=>[2,3,1,4,5,7,6]=>{{1,2,3},{4},{5},{6,7}}=>12
[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[2,3,5,6,7,1,4]=>{{1,2,3,5,7},{4,6}}=>3
[1,2,7,3,4,6,5]=>[1,2,7,3,6,4,5]=>[2,3,5,7,1,6,4]=>{{1,2,3,5},{4,7},{6}}=>8
[1,2,7,3,5,4,6]=>[1,2,7,5,3,4,6]=>[2,3,6,7,5,1,4]=>{{1,2,3,6},{4,7},{5}}=>7
[1,2,7,3,5,6,4]=>[1,2,7,6,3,5,4]=>[2,3,6,1,7,5,4]=>{{1,2,3,6},{4},{5,7}}=>7
[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>[2,3,7,6,1,5,4]=>{{1,2,3,7},{4,6},{5}}=>7
[1,2,7,3,6,5,4]=>[1,2,7,5,6,3,4]=>[2,3,7,1,5,6,4]=>{{1,2,3,7},{4},{5},{6}}=>12
[1,2,7,4,3,5,6]=>[1,2,4,7,3,5,6]=>[2,3,6,4,7,1,5]=>{{1,2,3,6},{4},{5,7}}=>7
[1,2,7,4,3,6,5]=>[1,2,4,7,6,3,5]=>[2,3,7,4,1,6,5]=>{{1,2,3,7},{4},{5},{6}}=>12
[1,2,7,4,5,3,6]=>[1,2,5,7,4,3,6]=>[2,3,7,6,4,1,5]=>{{1,2,3,7},{4,6},{5}}=>7
[1,2,7,4,5,6,3]=>[1,2,6,7,4,5,3]=>[2,3,1,6,7,4,5]=>{{1,2,3},{4,6},{5,7}}=>7
[1,2,7,4,6,3,5]=>[1,2,6,7,3,4,5]=>[2,3,6,7,1,4,5]=>{{1,2,3,6},{4,7},{5}}=>7
[1,2,7,4,6,5,3]=>[1,2,5,6,7,3,4]=>[2,3,7,1,4,5,6]=>{{1,2,3,7},{4},{5},{6}}=>12
[1,2,7,5,3,4,6]=>[1,2,5,3,7,4,6]=>[2,3,5,7,4,1,6]=>{{1,2,3,5},{4,7},{6}}=>8
[1,2,7,5,3,6,4]=>[1,2,5,7,6,4,3]=>[2,3,1,7,4,6,5]=>{{1,2,3},{4,7},{5},{6}}=>12
[1,2,7,5,4,3,6]=>[1,2,4,5,7,3,6]=>[2,3,7,4,5,1,6]=>{{1,2,3,7},{4},{5},{6}}=>12
[1,2,7,5,4,6,3]=>[1,2,6,5,7,4,3]=>[2,3,1,7,5,4,6]=>{{1,2,3},{4,7},{5},{6}}=>12
[1,2,7,5,6,3,4]=>[1,2,6,3,7,5,4]=>[2,3,5,1,7,4,6]=>{{1,2,3,5,7},{4},{6}}=>8
[1,2,7,5,6,4,3]=>[1,2,4,6,7,5,3]=>[2,3,1,4,7,5,6]=>{{1,2,3},{4},{5,7},{6}}=>12
[1,2,7,6,3,4,5]=>[1,2,6,3,4,7,5]=>[2,3,5,6,1,4,7]=>{{1,2,3,5},{4,6},{7}}=>9
[1,2,7,6,3,5,4]=>[1,2,6,5,3,7,4]=>[2,3,6,1,5,4,7]=>{{1,2,3,6},{4},{5},{7}}=>13
[1,2,7,6,4,3,5]=>[1,2,4,6,3,7,5]=>[2,3,6,4,1,5,7]=>{{1,2,3,6},{4},{5},{7}}=>13
[1,2,7,6,4,5,3]=>[1,2,5,6,4,7,3]=>[2,3,1,6,4,5,7]=>{{1,2,3},{4,6},{5},{7}}=>13
[1,2,7,6,5,3,4]=>[1,2,5,3,6,7,4]=>[2,3,5,1,4,6,7]=>{{1,2,3,5},{4},{6},{7}}=>14
[1,2,7,6,5,4,3]=>[1,2,4,5,6,7,3]=>[2,3,1,4,5,6,7]=>{{1,2,3},{4},{5},{6},{7}}=>18
[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[2,4,3,5,6,7,1]=>{{1,2,4,5,6,7},{3}}=>2
[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>[2,4,3,5,6,1,7]=>{{1,2,4,5,6},{3},{7}}=>8
[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>[2,4,3,5,7,6,1]=>{{1,2,4,5,7},{3},{6}}=>7
[1,3,2,4,6,7,5]=>[1,3,2,4,7,6,5]=>[2,4,3,5,1,7,6]=>{{1,2,4,5},{3},{6,7}}=>7
[1,3,2,4,7,5,6]=>[1,3,2,4,7,5,6]=>[2,4,3,5,7,1,6]=>{{1,2,4,5,7},{3},{6}}=>7
[1,3,2,4,7,6,5]=>[1,3,2,4,6,7,5]=>[2,4,3,5,1,6,7]=>{{1,2,4,5},{3},{6},{7}}=>13
[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>[2,4,3,6,5,7,1]=>{{1,2,4,6,7},{3},{5}}=>6
[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>[2,4,3,6,5,1,7]=>{{1,2,4,6},{3},{5},{7}}=>12
[1,3,2,5,6,4,7]=>[1,3,2,6,5,4,7]=>[2,4,3,7,6,5,1]=>{{1,2,4,7},{3},{5,6}}=>6
[1,3,2,5,6,7,4]=>[1,3,2,7,5,6,4]=>[2,4,3,1,6,7,5]=>{{1,2,4},{3},{5,6,7}}=>6
[1,3,2,5,7,4,6]=>[1,3,2,7,5,4,6]=>[2,4,3,7,6,1,5]=>{{1,2,4,7},{3},{5,6}}=>6
[1,3,2,5,7,6,4]=>[1,3,2,6,5,7,4]=>[2,4,3,1,6,5,7]=>{{1,2,4},{3},{5,6},{7}}=>12
[1,3,2,6,4,5,7]=>[1,3,2,6,4,5,7]=>[2,4,3,6,7,5,1]=>{{1,2,4,6},{3},{5,7}}=>6
[1,3,2,6,4,7,5]=>[1,3,2,6,7,4,5]=>[2,4,3,7,1,5,6]=>{{1,2,4,7},{3},{5},{6}}=>11
[1,3,2,6,5,4,7]=>[1,3,2,5,6,4,7]=>[2,4,3,7,5,6,1]=>{{1,2,4,7},{3},{5},{6}}=>11
[1,3,2,6,5,7,4]=>[1,3,2,7,6,5,4]=>[2,4,3,1,7,6,5]=>{{1,2,4},{3},{5,7},{6}}=>11
[1,3,2,6,7,4,5]=>[1,3,2,7,4,6,5]=>[2,4,3,6,1,7,5]=>{{1,2,4,6,7},{3},{5}}=>6
[1,3,2,6,7,5,4]=>[1,3,2,5,7,6,4]=>[2,4,3,1,5,7,6]=>{{1,2,4},{3},{5},{6,7}}=>11
[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>[2,4,3,6,7,1,5]=>{{1,2,4,6},{3},{5,7}}=>6
[1,3,2,7,4,6,5]=>[1,3,2,7,6,4,5]=>[2,4,3,7,1,6,5]=>{{1,2,4,7},{3},{5},{6}}=>11
[1,3,2,7,5,4,6]=>[1,3,2,5,7,4,6]=>[2,4,3,7,5,1,6]=>{{1,2,4,7},{3},{5},{6}}=>11
[1,3,2,7,5,6,4]=>[1,3,2,6,7,5,4]=>[2,4,3,1,7,5,6]=>{{1,2,4},{3},{5,7},{6}}=>11
[1,3,2,7,6,4,5]=>[1,3,2,6,4,7,5]=>[2,4,3,6,1,5,7]=>{{1,2,4,6},{3},{5},{7}}=>12
[1,3,2,7,6,5,4]=>[1,3,2,5,6,7,4]=>[2,4,3,1,5,6,7]=>{{1,2,4},{3},{5},{6},{7}}=>17
[1,3,4,2,5,6,7]=>[1,4,3,2,5,6,7]=>[2,5,4,3,6,7,1]=>{{1,2,5,6,7},{3,4}}=>2
[1,3,4,2,5,7,6]=>[1,4,3,2,5,7,6]=>[2,5,4,3,6,1,7]=>{{1,2,5,6},{3,4},{7}}=>8
[1,3,4,2,6,5,7]=>[1,4,3,2,6,5,7]=>[2,5,4,3,7,6,1]=>{{1,2,5,7},{3,4},{6}}=>7
[1,3,4,2,6,7,5]=>[1,4,3,2,7,6,5]=>[2,5,4,3,1,7,6]=>{{1,2,5},{3,4},{6,7}}=>7
[1,3,4,2,7,5,6]=>[1,4,3,2,7,5,6]=>[2,5,4,3,7,1,6]=>{{1,2,5,7},{3,4},{6}}=>7
[1,3,4,2,7,6,5]=>[1,4,3,2,6,7,5]=>[2,5,4,3,1,6,7]=>{{1,2,5},{3,4},{6},{7}}=>13
[1,3,4,5,2,6,7]=>[1,5,3,4,2,6,7]=>[2,6,4,5,3,7,1]=>{{1,2,6,7},{3,4,5}}=>2
[1,3,4,5,2,7,6]=>[1,5,3,4,2,7,6]=>[2,6,4,5,3,1,7]=>{{1,2,6},{3,4,5},{7}}=>8
[1,3,4,5,6,2,7]=>[1,6,3,4,5,2,7]=>[2,7,4,5,6,3,1]=>{{1,2,7},{3,4,5,6}}=>2
[1,3,4,5,6,7,2]=>[1,7,3,4,5,6,2]=>[2,1,4,5,6,7,3]=>{{1,2},{3,4,5,6,7}}=>2
[1,3,4,5,7,2,6]=>[1,7,3,4,5,2,6]=>[2,7,4,5,6,1,3]=>{{1,2,7},{3,4,5,6}}=>2
[1,3,4,5,7,6,2]=>[1,6,3,4,5,7,2]=>[2,1,4,5,6,3,7]=>{{1,2},{3,4,5,6},{7}}=>8
[1,3,4,6,2,5,7]=>[1,6,3,4,2,5,7]=>[2,6,4,5,7,3,1]=>{{1,2,6},{3,4,5,7}}=>2
[1,3,4,6,2,7,5]=>[1,6,3,4,7,2,5]=>[2,7,4,5,1,3,6]=>{{1,2,7},{3,4,5},{6}}=>7
[1,3,4,6,5,2,7]=>[1,5,3,4,6,2,7]=>[2,7,4,5,3,6,1]=>{{1,2,7},{3,4,5},{6}}=>7
[1,3,4,6,5,7,2]=>[1,7,3,4,6,5,2]=>[2,1,4,5,7,6,3]=>{{1,2},{3,4,5,7},{6}}=>7
[1,3,4,6,7,2,5]=>[1,7,3,4,2,6,5]=>[2,6,4,5,1,7,3]=>{{1,2,6,7},{3,4,5}}=>2
[1,3,4,6,7,5,2]=>[1,5,3,4,7,6,2]=>[2,1,4,5,3,7,6]=>{{1,2},{3,4,5},{6,7}}=>7
[1,3,4,7,2,5,6]=>[1,7,3,4,2,5,6]=>[2,6,4,5,7,1,3]=>{{1,2,6},{3,4,5,7}}=>2
[1,3,4,7,2,6,5]=>[1,7,3,4,6,2,5]=>[2,7,4,5,1,6,3]=>{{1,2,7},{3,4,5},{6}}=>7
[1,3,4,7,5,2,6]=>[1,5,3,4,7,2,6]=>[2,7,4,5,3,1,6]=>{{1,2,7},{3,4,5},{6}}=>7
[1,3,4,7,5,6,2]=>[1,6,3,4,7,5,2]=>[2,1,4,5,7,3,6]=>{{1,2},{3,4,5,7},{6}}=>7
[1,3,4,7,6,2,5]=>[1,6,3,4,2,7,5]=>[2,6,4,5,1,3,7]=>{{1,2,6},{3,4,5},{7}}=>8
[1,3,4,7,6,5,2]=>[1,5,3,4,6,7,2]=>[2,1,4,5,3,6,7]=>{{1,2},{3,4,5},{6},{7}}=>13
[1,3,5,2,4,6,7]=>[1,5,3,2,4,6,7]=>[2,5,4,6,3,7,1]=>{{1,2,5},{3,4,6,7}}=>2
[1,3,5,2,4,7,6]=>[1,5,3,2,4,7,6]=>[2,5,4,6,3,1,7]=>{{1,2,5},{3,4,6},{7}}=>8
[1,3,5,2,6,4,7]=>[1,5,3,6,2,4,7]=>[2,6,4,7,3,5,1]=>{{1,2,6},{3,4,7},{5}}=>6
[1,3,5,2,6,7,4]=>[1,5,3,7,2,6,4]=>[2,6,4,1,3,7,5]=>{{1,2,6,7},{3,4},{5}}=>6
[1,3,5,2,7,4,6]=>[1,5,3,7,2,4,6]=>[2,6,4,7,3,1,5]=>{{1,2,6},{3,4,7},{5}}=>6
[1,3,5,2,7,6,4]=>[1,5,3,6,2,7,4]=>[2,6,4,1,3,5,7]=>{{1,2,6},{3,4},{5},{7}}=>12
[1,3,5,4,2,6,7]=>[1,4,3,5,2,6,7]=>[2,6,4,3,5,7,1]=>{{1,2,6,7},{3,4},{5}}=>6
[1,3,5,4,2,7,6]=>[1,4,3,5,2,7,6]=>[2,6,4,3,5,1,7]=>{{1,2,6},{3,4},{5},{7}}=>12
[1,3,5,4,6,2,7]=>[1,6,3,5,4,2,7]=>[2,7,4,6,5,3,1]=>{{1,2,7},{3,4,6},{5}}=>6
[1,3,5,4,6,7,2]=>[1,7,3,5,4,6,2]=>[2,1,4,6,5,7,3]=>{{1,2},{3,4,6,7},{5}}=>6
[1,3,5,4,7,2,6]=>[1,7,3,5,4,2,6]=>[2,7,4,6,5,1,3]=>{{1,2,7},{3,4,6},{5}}=>6
[1,3,5,4,7,6,2]=>[1,6,3,5,4,7,2]=>[2,1,4,6,5,3,7]=>{{1,2},{3,4,6},{5},{7}}=>12
[1,3,5,6,2,4,7]=>[1,6,3,2,5,4,7]=>[2,5,4,7,6,3,1]=>{{1,2,5,6},{3,4,7}}=>2
[1,3,5,6,2,7,4]=>[1,6,3,7,5,2,4]=>[2,7,4,1,6,3,5]=>{{1,2,7},{3,4},{5,6}}=>6
[1,3,5,6,4,2,7]=>[1,4,3,6,5,2,7]=>[2,7,4,3,6,5,1]=>{{1,2,7},{3,4},{5,6}}=>6
[1,3,5,6,4,7,2]=>[1,7,3,6,5,4,2]=>[2,1,4,7,6,5,3]=>{{1,2},{3,4,7},{5,6}}=>6
[1,3,5,6,7,2,4]=>[1,7,3,2,5,6,4]=>[2,5,4,1,6,7,3]=>{{1,2,5,6,7},{3,4}}=>2
[1,3,5,6,7,4,2]=>[1,4,3,7,5,6,2]=>[2,1,4,3,6,7,5]=>{{1,2},{3,4},{5,6,7}}=>6
[1,3,5,7,2,4,6]=>[1,7,3,2,5,4,6]=>[2,5,4,7,6,1,3]=>{{1,2,5,6},{3,4,7}}=>2
[1,3,5,7,2,6,4]=>[1,7,3,6,5,2,4]=>[2,7,4,1,6,5,3]=>{{1,2,7},{3,4},{5,6}}=>6
[1,3,5,7,4,2,6]=>[1,4,3,7,5,2,6]=>[2,7,4,3,6,1,5]=>{{1,2,7},{3,4},{5,6}}=>6
[1,3,5,7,4,6,2]=>[1,6,3,7,5,4,2]=>[2,1,4,7,6,3,5]=>{{1,2},{3,4,7},{5,6}}=>6
[1,3,5,7,6,2,4]=>[1,6,3,2,5,7,4]=>[2,5,4,1,6,3,7]=>{{1,2,5,6},{3,4},{7}}=>8
[1,3,5,7,6,4,2]=>[1,4,3,6,5,7,2]=>[2,1,4,3,6,5,7]=>{{1,2},{3,4},{5,6},{7}}=>12
[1,3,6,2,4,5,7]=>[1,6,3,2,4,5,7]=>[2,5,4,6,7,3,1]=>{{1,2,5,7},{3,4,6}}=>2
[1,3,6,2,4,7,5]=>[1,6,3,2,7,4,5]=>[2,5,4,7,1,3,6]=>{{1,2,5},{3,4,7},{6}}=>7
[1,3,6,2,5,4,7]=>[1,6,3,5,2,4,7]=>[2,6,4,7,5,3,1]=>{{1,2,6},{3,4,7},{5}}=>6
[1,3,6,2,5,7,4]=>[1,6,3,7,2,5,4]=>[2,6,4,1,7,3,5]=>{{1,2,6},{3,4},{5,7}}=>6
[1,3,6,2,7,4,5]=>[1,6,3,7,4,2,5]=>[2,7,4,6,1,3,5]=>{{1,2,7},{3,4,6},{5}}=>6
[1,3,6,2,7,5,4]=>[1,6,3,5,7,2,4]=>[2,7,4,1,5,3,6]=>{{1,2,7},{3,4},{5},{6}}=>11
[1,3,6,4,2,5,7]=>[1,4,3,6,2,5,7]=>[2,6,4,3,7,5,1]=>{{1,2,6},{3,4},{5,7}}=>6
[1,3,6,4,2,7,5]=>[1,4,3,6,7,2,5]=>[2,7,4,3,1,5,6]=>{{1,2,7},{3,4},{5},{6}}=>11
[1,3,6,4,5,2,7]=>[1,5,3,6,4,2,7]=>[2,7,4,6,3,5,1]=>{{1,2,7},{3,4,6},{5}}=>6
[1,3,6,4,5,7,2]=>[1,7,3,6,4,5,2]=>[2,1,4,6,7,5,3]=>{{1,2},{3,4,6},{5,7}}=>6
[1,3,6,4,7,2,5]=>[1,7,3,6,2,4,5]=>[2,6,4,7,1,5,3]=>{{1,2,6},{3,4,7},{5}}=>6
[1,3,6,4,7,5,2]=>[1,5,3,7,6,2,4]=>[2,7,4,1,3,6,5]=>{{1,2,7},{3,4},{5},{6}}=>11
[1,3,6,5,2,4,7]=>[1,5,3,2,6,4,7]=>[2,5,4,7,3,6,1]=>{{1,2,5},{3,4,7},{6}}=>7
[1,3,6,5,2,7,4]=>[1,5,3,6,7,4,2]=>[2,1,4,7,3,5,6]=>{{1,2},{3,4,7},{5},{6}}=>11
[1,3,6,5,4,2,7]=>[1,4,3,5,6,2,7]=>[2,7,4,3,5,6,1]=>{{1,2,7},{3,4},{5},{6}}=>11
[1,3,6,5,4,7,2]=>[1,7,3,5,6,4,2]=>[2,1,4,7,5,6,3]=>{{1,2},{3,4,7},{5},{6}}=>11
[1,3,6,5,7,2,4]=>[1,7,3,2,6,5,4]=>[2,5,4,1,7,6,3]=>{{1,2,5,7},{3,4},{6}}=>7
[1,3,6,5,7,4,2]=>[1,4,3,7,6,5,2]=>[2,1,4,3,7,6,5]=>{{1,2},{3,4},{5,7},{6}}=>11
[1,3,6,7,2,4,5]=>[1,7,3,2,4,6,5]=>[2,5,4,6,1,7,3]=>{{1,2,5},{3,4,6,7}}=>2
[1,3,6,7,2,5,4]=>[1,7,3,5,2,6,4]=>[2,6,4,1,5,7,3]=>{{1,2,6,7},{3,4},{5}}=>6
[1,3,6,7,4,2,5]=>[1,4,3,7,2,6,5]=>[2,6,4,3,1,7,5]=>{{1,2,6,7},{3,4},{5}}=>6
[1,3,6,7,4,5,2]=>[1,5,3,7,4,6,2]=>[2,1,4,6,3,7,5]=>{{1,2},{3,4,6,7},{5}}=>6
[1,3,6,7,5,2,4]=>[1,5,3,2,7,6,4]=>[2,5,4,1,3,7,6]=>{{1,2,5},{3,4},{6,7}}=>7
[1,3,6,7,5,4,2]=>[1,4,3,5,7,6,2]=>[2,1,4,3,5,7,6]=>{{1,2},{3,4},{5},{6,7}}=>11
[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>[2,5,4,6,7,1,3]=>{{1,2,5,7},{3,4,6}}=>2
[1,3,7,2,4,6,5]=>[1,7,3,2,6,4,5]=>[2,5,4,7,1,6,3]=>{{1,2,5},{3,4,7},{6}}=>7
[1,3,7,2,5,4,6]=>[1,7,3,5,2,4,6]=>[2,6,4,7,5,1,3]=>{{1,2,6},{3,4,7},{5}}=>6
[1,3,7,2,5,6,4]=>[1,7,3,6,2,5,4]=>[2,6,4,1,7,5,3]=>{{1,2,6},{3,4},{5,7}}=>6
[1,3,7,2,6,4,5]=>[1,7,3,6,4,2,5]=>[2,7,4,6,1,5,3]=>{{1,2,7},{3,4,6},{5}}=>6
[1,3,7,2,6,5,4]=>[1,7,3,5,6,2,4]=>[2,7,4,1,5,6,3]=>{{1,2,7},{3,4},{5},{6}}=>11
[1,3,7,4,2,5,6]=>[1,4,3,7,2,5,6]=>[2,6,4,3,7,1,5]=>{{1,2,6},{3,4},{5,7}}=>6
[1,3,7,4,2,6,5]=>[1,4,3,7,6,2,5]=>[2,7,4,3,1,6,5]=>{{1,2,7},{3,4},{5},{6}}=>11
[1,3,7,4,5,2,6]=>[1,5,3,7,4,2,6]=>[2,7,4,6,3,1,5]=>{{1,2,7},{3,4,6},{5}}=>6
[1,3,7,4,5,6,2]=>[1,6,3,7,4,5,2]=>[2,1,4,6,7,3,5]=>{{1,2},{3,4,6},{5,7}}=>6
[1,3,7,4,6,2,5]=>[1,6,3,7,2,4,5]=>[2,6,4,7,1,3,5]=>{{1,2,6},{3,4,7},{5}}=>6
[1,3,7,4,6,5,2]=>[1,5,3,6,7,2,4]=>[2,7,4,1,3,5,6]=>{{1,2,7},{3,4},{5},{6}}=>11
[1,3,7,5,2,4,6]=>[1,5,3,2,7,4,6]=>[2,5,4,7,3,1,6]=>{{1,2,5},{3,4,7},{6}}=>7
[1,3,7,5,2,6,4]=>[1,5,3,7,6,4,2]=>[2,1,4,7,3,6,5]=>{{1,2},{3,4,7},{5},{6}}=>11
[1,3,7,5,4,2,6]=>[1,4,3,5,7,2,6]=>[2,7,4,3,5,1,6]=>{{1,2,7},{3,4},{5},{6}}=>11
[1,3,7,5,4,6,2]=>[1,6,3,5,7,4,2]=>[2,1,4,7,5,3,6]=>{{1,2},{3,4,7},{5},{6}}=>11
[1,3,7,5,6,2,4]=>[1,6,3,2,7,5,4]=>[2,5,4,1,7,3,6]=>{{1,2,5,7},{3,4},{6}}=>7
[1,3,7,5,6,4,2]=>[1,4,3,6,7,5,2]=>[2,1,4,3,7,5,6]=>{{1,2},{3,4},{5,7},{6}}=>11
[1,3,7,6,2,4,5]=>[1,6,3,2,4,7,5]=>[2,5,4,6,1,3,7]=>{{1,2,5},{3,4,6},{7}}=>8
[1,3,7,6,2,5,4]=>[1,6,3,5,2,7,4]=>[2,6,4,1,5,3,7]=>{{1,2,6},{3,4},{5},{7}}=>12
[1,3,7,6,4,2,5]=>[1,4,3,6,2,7,5]=>[2,6,4,3,1,5,7]=>{{1,2,6},{3,4},{5},{7}}=>12
[1,3,7,6,4,5,2]=>[1,5,3,6,4,7,2]=>[2,1,4,6,3,5,7]=>{{1,2},{3,4,6},{5},{7}}=>12
[1,3,7,6,5,2,4]=>[1,5,3,2,6,7,4]=>[2,5,4,1,3,6,7]=>{{1,2,5},{3,4},{6},{7}}=>13
[1,3,7,6,5,4,2]=>[1,4,3,5,6,7,2]=>[2,1,4,3,5,6,7]=>{{1,2},{3,4},{5},{6},{7}}=>17
[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[2,4,5,3,6,7,1]=>{{1,2,4},{3,5,6,7}}=>2
[1,4,2,3,5,7,6]=>[1,4,2,3,5,7,6]=>[2,4,5,3,6,1,7]=>{{1,2,4},{3,5,6},{7}}=>8
[1,4,2,3,6,5,7]=>[1,4,2,3,6,5,7]=>[2,4,5,3,7,6,1]=>{{1,2,4},{3,5,7},{6}}=>7
[1,4,2,3,6,7,5]=>[1,4,2,3,7,6,5]=>[2,4,5,3,1,7,6]=>{{1,2,4},{3,5},{6,7}}=>7
[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>[2,4,5,3,7,1,6]=>{{1,2,4},{3,5,7},{6}}=>7
[1,4,2,3,7,6,5]=>[1,4,2,3,6,7,5]=>[2,4,5,3,1,6,7]=>{{1,2,4},{3,5},{6},{7}}=>13
[1,4,2,5,3,6,7]=>[1,4,5,2,3,6,7]=>[2,5,6,3,4,7,1]=>{{1,2,5},{3,6,7},{4}}=>5
[1,4,2,5,3,7,6]=>[1,4,5,2,3,7,6]=>[2,5,6,3,4,1,7]=>{{1,2,5},{3,6},{4},{7}}=>11
[1,4,2,5,6,3,7]=>[1,4,6,2,5,3,7]=>[2,5,7,3,6,4,1]=>{{1,2,5,6},{3,7},{4}}=>5
[1,4,2,5,6,7,3]=>[1,4,7,2,5,6,3]=>[2,5,1,3,6,7,4]=>{{1,2,5,6,7},{3},{4}}=>5
[1,4,2,5,7,3,6]=>[1,4,7,2,5,3,6]=>[2,5,7,3,6,1,4]=>{{1,2,5,6},{3,7},{4}}=>5
[1,4,2,5,7,6,3]=>[1,4,6,2,5,7,3]=>[2,5,1,3,6,4,7]=>{{1,2,5,6},{3},{4},{7}}=>11
[1,4,2,6,3,5,7]=>[1,4,6,2,3,5,7]=>[2,5,6,3,7,4,1]=>{{1,2,5,7},{3,6},{4}}=>5
[1,4,2,6,3,7,5]=>[1,4,6,2,7,3,5]=>[2,5,7,3,1,4,6]=>{{1,2,5},{3,7},{4},{6}}=>10
[1,4,2,6,5,3,7]=>[1,4,5,2,6,3,7]=>[2,5,7,3,4,6,1]=>{{1,2,5},{3,7},{4},{6}}=>10
[1,4,2,6,5,7,3]=>[1,4,7,2,6,5,3]=>[2,5,1,3,7,6,4]=>{{1,2,5,7},{3},{4},{6}}=>10
[1,4,2,6,7,3,5]=>[1,4,7,2,3,6,5]=>[2,5,6,3,1,7,4]=>{{1,2,5},{3,6,7},{4}}=>5
[1,4,2,6,7,5,3]=>[1,4,5,2,7,6,3]=>[2,5,1,3,4,7,6]=>{{1,2,5},{3},{4},{6,7}}=>10
[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>[2,5,6,3,7,1,4]=>{{1,2,5,7},{3,6},{4}}=>5
[1,4,2,7,3,6,5]=>[1,4,7,2,6,3,5]=>[2,5,7,3,1,6,4]=>{{1,2,5},{3,7},{4},{6}}=>10
[1,4,2,7,5,3,6]=>[1,4,5,2,7,3,6]=>[2,5,7,3,4,1,6]=>{{1,2,5},{3,7},{4},{6}}=>10
[1,4,2,7,5,6,3]=>[1,4,6,2,7,5,3]=>[2,5,1,3,7,4,6]=>{{1,2,5,7},{3},{4},{6}}=>10
[1,4,2,7,6,3,5]=>[1,4,6,2,3,7,5]=>[2,5,6,3,1,4,7]=>{{1,2,5},{3,6},{4},{7}}=>11
[1,4,2,7,6,5,3]=>[1,4,5,2,6,7,3]=>[2,5,1,3,4,6,7]=>{{1,2,5},{3},{4},{6},{7}}=>16
[1,4,3,2,5,6,7]=>[1,3,4,2,5,6,7]=>[2,5,3,4,6,7,1]=>{{1,2,5,6,7},{3},{4}}=>5
[1,4,3,2,5,7,6]=>[1,3,4,2,5,7,6]=>[2,5,3,4,6,1,7]=>{{1,2,5,6},{3},{4},{7}}=>11
[1,4,3,2,6,5,7]=>[1,3,4,2,6,5,7]=>[2,5,3,4,7,6,1]=>{{1,2,5,7},{3},{4},{6}}=>10
[1,4,3,2,6,7,5]=>[1,3,4,2,7,6,5]=>[2,5,3,4,1,7,6]=>{{1,2,5},{3},{4},{6,7}}=>10
[1,4,3,2,7,5,6]=>[1,3,4,2,7,5,6]=>[2,5,3,4,7,1,6]=>{{1,2,5,7},{3},{4},{6}}=>10
[1,4,3,2,7,6,5]=>[1,3,4,2,6,7,5]=>[2,5,3,4,1,6,7]=>{{1,2,5},{3},{4},{6},{7}}=>16
[1,4,3,5,2,6,7]=>[1,5,4,3,2,6,7]=>[2,6,5,4,3,7,1]=>{{1,2,6,7},{3,5},{4}}=>5
[1,4,3,5,2,7,6]=>[1,5,4,3,2,7,6]=>[2,6,5,4,3,1,7]=>{{1,2,6},{3,5},{4},{7}}=>11
[1,4,3,5,6,2,7]=>[1,6,4,3,5,2,7]=>[2,7,5,4,6,3,1]=>{{1,2,7},{3,5,6},{4}}=>5
[1,4,3,5,6,7,2]=>[1,7,4,3,5,6,2]=>[2,1,5,4,6,7,3]=>{{1,2},{3,5,6,7},{4}}=>5
[1,4,3,5,7,2,6]=>[1,7,4,3,5,2,6]=>[2,7,5,4,6,1,3]=>{{1,2,7},{3,5,6},{4}}=>5
[1,4,3,5,7,6,2]=>[1,6,4,3,5,7,2]=>[2,1,5,4,6,3,7]=>{{1,2},{3,5,6},{4},{7}}=>11
[1,4,3,6,2,5,7]=>[1,6,4,3,2,5,7]=>[2,6,5,4,7,3,1]=>{{1,2,6},{3,5,7},{4}}=>5
[1,4,3,6,2,7,5]=>[1,6,4,3,7,2,5]=>[2,7,5,4,1,3,6]=>{{1,2,7},{3,5},{4},{6}}=>10
[1,4,3,6,5,2,7]=>[1,5,4,3,6,2,7]=>[2,7,5,4,3,6,1]=>{{1,2,7},{3,5},{4},{6}}=>10
[1,4,3,6,5,7,2]=>[1,7,4,3,6,5,2]=>[2,1,5,4,7,6,3]=>{{1,2},{3,5,7},{4},{6}}=>10
[1,4,3,6,7,2,5]=>[1,7,4,3,2,6,5]=>[2,6,5,4,1,7,3]=>{{1,2,6,7},{3,5},{4}}=>5
[1,4,3,6,7,5,2]=>[1,5,4,3,7,6,2]=>[2,1,5,4,3,7,6]=>{{1,2},{3,5},{4},{6,7}}=>10
[1,4,3,7,2,5,6]=>[1,7,4,3,2,5,6]=>[2,6,5,4,7,1,3]=>{{1,2,6},{3,5,7},{4}}=>5
[1,4,3,7,2,6,5]=>[1,7,4,3,6,2,5]=>[2,7,5,4,1,6,3]=>{{1,2,7},{3,5},{4},{6}}=>10
[1,4,3,7,5,2,6]=>[1,5,4,3,7,2,6]=>[2,7,5,4,3,1,6]=>{{1,2,7},{3,5},{4},{6}}=>10
[1,4,3,7,5,6,2]=>[1,6,4,3,7,5,2]=>[2,1,5,4,7,3,6]=>{{1,2},{3,5,7},{4},{6}}=>10
[1,4,3,7,6,2,5]=>[1,6,4,3,2,7,5]=>[2,6,5,4,1,3,7]=>{{1,2,6},{3,5},{4},{7}}=>11
[1,4,3,7,6,5,2]=>[1,5,4,3,6,7,2]=>[2,1,5,4,3,6,7]=>{{1,2},{3,5},{4},{6},{7}}=>16
[1,4,5,2,3,6,7]=>[1,5,2,4,3,6,7]=>[2,4,6,5,3,7,1]=>{{1,2,4,5},{3,6,7}}=>2
[1,4,5,2,3,7,6]=>[1,5,2,4,3,7,6]=>[2,4,6,5,3,1,7]=>{{1,2,4,5},{3,6},{7}}=>8
[1,4,5,2,6,3,7]=>[1,5,6,4,2,3,7]=>[2,6,7,5,3,4,1]=>{{1,2,6},{3,7},{4,5}}=>5
[1,4,5,2,6,7,3]=>[1,5,7,4,2,6,3]=>[2,6,1,5,3,7,4]=>{{1,2,6,7},{3},{4,5}}=>5
[1,4,5,2,7,3,6]=>[1,5,7,4,2,3,6]=>[2,6,7,5,3,1,4]=>{{1,2,6},{3,7},{4,5}}=>5
[1,4,5,2,7,6,3]=>[1,5,6,4,2,7,3]=>[2,6,1,5,3,4,7]=>{{1,2,6},{3},{4,5},{7}}=>11
[1,4,5,3,2,6,7]=>[1,3,5,4,2,6,7]=>[2,6,3,5,4,7,1]=>{{1,2,6,7},{3},{4,5}}=>5
[1,4,5,3,2,7,6]=>[1,3,5,4,2,7,6]=>[2,6,3,5,4,1,7]=>{{1,2,6},{3},{4,5},{7}}=>11
[1,4,5,3,6,2,7]=>[1,6,5,4,3,2,7]=>[2,7,6,5,4,3,1]=>{{1,2,7},{3,6},{4,5}}=>5
[1,4,5,3,6,7,2]=>[1,7,5,4,3,6,2]=>[2,1,6,5,4,7,3]=>{{1,2},{3,6,7},{4,5}}=>5
[1,4,5,3,7,2,6]=>[1,7,5,4,3,2,6]=>[2,7,6,5,4,1,3]=>{{1,2,7},{3,6},{4,5}}=>5
[1,4,5,3,7,6,2]=>[1,6,5,4,3,7,2]=>[2,1,6,5,4,3,7]=>{{1,2},{3,6},{4,5},{7}}=>11
[1,4,5,6,2,3,7]=>[1,6,2,4,5,3,7]=>[2,4,7,5,6,3,1]=>{{1,2,4,5,6},{3,7}}=>2
[1,4,5,6,2,7,3]=>[1,6,7,4,5,2,3]=>[2,7,1,5,6,3,4]=>{{1,2,7},{3},{4,5,6}}=>5
[1,4,5,6,3,2,7]=>[1,3,6,4,5,2,7]=>[2,7,3,5,6,4,1]=>{{1,2,7},{3},{4,5,6}}=>5
[1,4,5,6,3,7,2]=>[1,7,6,4,5,3,2]=>[2,1,7,5,6,4,3]=>{{1,2},{3,7},{4,5,6}}=>5
[1,4,5,6,7,2,3]=>[1,7,2,4,5,6,3]=>[2,4,1,5,6,7,3]=>{{1,2,4,5,6,7},{3}}=>2
[1,4,5,6,7,3,2]=>[1,3,7,4,5,6,2]=>[2,1,3,5,6,7,4]=>{{1,2},{3},{4,5,6,7}}=>5
[1,4,5,7,2,3,6]=>[1,7,2,4,5,3,6]=>[2,4,7,5,6,1,3]=>{{1,2,4,5,6},{3,7}}=>2
[1,4,5,7,2,6,3]=>[1,7,6,4,5,2,3]=>[2,7,1,5,6,4,3]=>{{1,2,7},{3},{4,5,6}}=>5
[1,4,5,7,3,2,6]=>[1,3,7,4,5,2,6]=>[2,7,3,5,6,1,4]=>{{1,2,7},{3},{4,5,6}}=>5
[1,4,5,7,3,6,2]=>[1,6,7,4,5,3,2]=>[2,1,7,5,6,3,4]=>{{1,2},{3,7},{4,5,6}}=>5
[1,4,5,7,6,2,3]=>[1,6,2,4,5,7,3]=>[2,4,1,5,6,3,7]=>{{1,2,4,5,6},{3},{7}}=>8
[1,4,5,7,6,3,2]=>[1,3,6,4,5,7,2]=>[2,1,3,5,6,4,7]=>{{1,2},{3},{4,5,6},{7}}=>11
[1,4,6,2,3,5,7]=>[1,6,2,4,3,5,7]=>[2,4,6,5,7,3,1]=>{{1,2,4,5,7},{3,6}}=>2
[1,4,6,2,3,7,5]=>[1,6,2,4,7,3,5]=>[2,4,7,5,1,3,6]=>{{1,2,4,5},{3,7},{6}}=>7
[1,4,6,2,5,3,7]=>[1,6,5,4,2,3,7]=>[2,6,7,5,4,3,1]=>{{1,2,6},{3,7},{4,5}}=>5
[1,4,6,2,5,7,3]=>[1,6,7,4,2,5,3]=>[2,6,1,5,7,3,4]=>{{1,2,6},{3},{4,5,7}}=>5
[1,4,6,2,7,3,5]=>[1,6,7,4,3,2,5]=>[2,7,6,5,1,3,4]=>{{1,2,7},{3,6},{4,5}}=>5
[1,4,6,2,7,5,3]=>[1,6,5,4,7,2,3]=>[2,7,1,5,4,3,6]=>{{1,2,7},{3},{4,5},{6}}=>10
[1,4,6,3,2,5,7]=>[1,3,6,4,2,5,7]=>[2,6,3,5,7,4,1]=>{{1,2,6},{3},{4,5,7}}=>5
[1,4,6,3,2,7,5]=>[1,3,6,4,7,2,5]=>[2,7,3,5,1,4,6]=>{{1,2,7},{3},{4,5},{6}}=>10
[1,4,6,3,5,2,7]=>[1,5,6,4,3,2,7]=>[2,7,6,5,3,4,1]=>{{1,2,7},{3,6},{4,5}}=>5
[1,4,6,3,5,7,2]=>[1,7,6,4,3,5,2]=>[2,1,6,5,7,4,3]=>{{1,2},{3,6},{4,5,7}}=>5
[1,4,6,3,7,2,5]=>[1,7,6,4,2,3,5]=>[2,6,7,5,1,4,3]=>{{1,2,6},{3,7},{4,5}}=>5
[1,4,6,3,7,5,2]=>[1,5,7,4,6,2,3]=>[2,7,1,5,3,6,4]=>{{1,2,7},{3},{4,5},{6}}=>10
[1,4,6,5,2,3,7]=>[1,5,2,4,6,3,7]=>[2,4,7,5,3,6,1]=>{{1,2,4,5},{3,7},{6}}=>7
[1,4,6,5,2,7,3]=>[1,5,6,4,7,3,2]=>[2,1,7,5,3,4,6]=>{{1,2},{3,7},{4,5},{6}}=>10
[1,4,6,5,3,2,7]=>[1,3,5,4,6,2,7]=>[2,7,3,5,4,6,1]=>{{1,2,7},{3},{4,5},{6}}=>10
[1,4,6,5,3,7,2]=>[1,7,5,4,6,3,2]=>[2,1,7,5,4,6,3]=>{{1,2},{3,7},{4,5},{6}}=>10
[1,4,6,5,7,2,3]=>[1,7,2,4,6,5,3]=>[2,4,1,5,7,6,3]=>{{1,2,4,5,7},{3},{6}}=>7
[1,4,6,5,7,3,2]=>[1,3,7,4,6,5,2]=>[2,1,3,5,7,6,4]=>{{1,2},{3},{4,5,7},{6}}=>10
[1,4,6,7,2,3,5]=>[1,7,2,4,3,6,5]=>[2,4,6,5,1,7,3]=>{{1,2,4,5},{3,6,7}}=>2
[1,4,6,7,2,5,3]=>[1,7,5,4,2,6,3]=>[2,6,1,5,4,7,3]=>{{1,2,6,7},{3},{4,5}}=>5
[1,4,6,7,3,2,5]=>[1,3,7,4,2,6,5]=>[2,6,3,5,1,7,4]=>{{1,2,6,7},{3},{4,5}}=>5
[1,4,6,7,3,5,2]=>[1,5,7,4,3,6,2]=>[2,1,6,5,3,7,4]=>{{1,2},{3,6,7},{4,5}}=>5
[1,4,6,7,5,2,3]=>[1,5,2,4,7,6,3]=>[2,4,1,5,3,7,6]=>{{1,2,4,5},{3},{6,7}}=>7
[1,4,6,7,5,3,2]=>[1,3,5,4,7,6,2]=>[2,1,3,5,4,7,6]=>{{1,2},{3},{4,5},{6,7}}=>10
[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>[2,4,6,5,7,1,3]=>{{1,2,4,5,7},{3,6}}=>2
[1,4,7,2,3,6,5]=>[1,7,2,4,6,3,5]=>[2,4,7,5,1,6,3]=>{{1,2,4,5},{3,7},{6}}=>7
[1,4,7,2,5,3,6]=>[1,7,5,4,2,3,6]=>[2,6,7,5,4,1,3]=>{{1,2,6},{3,7},{4,5}}=>5
[1,4,7,2,5,6,3]=>[1,7,6,4,2,5,3]=>[2,6,1,5,7,4,3]=>{{1,2,6},{3},{4,5,7}}=>5
[1,4,7,2,6,3,5]=>[1,7,6,4,3,2,5]=>[2,7,6,5,1,4,3]=>{{1,2,7},{3,6},{4,5}}=>5
[1,4,7,2,6,5,3]=>[1,7,5,4,6,2,3]=>[2,7,1,5,4,6,3]=>{{1,2,7},{3},{4,5},{6}}=>10
[1,4,7,3,2,5,6]=>[1,3,7,4,2,5,6]=>[2,6,3,5,7,1,4]=>{{1,2,6},{3},{4,5,7}}=>5
[1,4,7,3,2,6,5]=>[1,3,7,4,6,2,5]=>[2,7,3,5,1,6,4]=>{{1,2,7},{3},{4,5},{6}}=>10
[1,4,7,3,5,2,6]=>[1,5,7,4,3,2,6]=>[2,7,6,5,3,1,4]=>{{1,2,7},{3,6},{4,5}}=>5
[1,4,7,3,5,6,2]=>[1,6,7,4,3,5,2]=>[2,1,6,5,7,3,4]=>{{1,2},{3,6},{4,5,7}}=>5
[1,4,7,3,6,2,5]=>[1,6,7,4,2,3,5]=>[2,6,7,5,1,3,4]=>{{1,2,6},{3,7},{4,5}}=>5
[1,4,7,3,6,5,2]=>[1,5,6,4,7,2,3]=>[2,7,1,5,3,4,6]=>{{1,2,7},{3},{4,5},{6}}=>10
[1,4,7,5,2,3,6]=>[1,5,2,4,7,3,6]=>[2,4,7,5,3,1,6]=>{{1,2,4,5},{3,7},{6}}=>7
[1,4,7,5,2,6,3]=>[1,5,7,4,6,3,2]=>[2,1,7,5,3,6,4]=>{{1,2},{3,7},{4,5},{6}}=>10
[1,4,7,5,3,2,6]=>[1,3,5,4,7,2,6]=>[2,7,3,5,4,1,6]=>{{1,2,7},{3},{4,5},{6}}=>10
[1,4,7,5,3,6,2]=>[1,6,5,4,7,3,2]=>[2,1,7,5,4,3,6]=>{{1,2},{3,7},{4,5},{6}}=>10
[1,4,7,5,6,2,3]=>[1,6,2,4,7,5,3]=>[2,4,1,5,7,3,6]=>{{1,2,4,5,7},{3},{6}}=>7
[1,4,7,5,6,3,2]=>[1,3,6,4,7,5,2]=>[2,1,3,5,7,4,6]=>{{1,2},{3},{4,5,7},{6}}=>10
[1,4,7,6,2,3,5]=>[1,6,2,4,3,7,5]=>[2,4,6,5,1,3,7]=>{{1,2,4,5},{3,6},{7}}=>8
[1,4,7,6,2,5,3]=>[1,6,5,4,2,7,3]=>[2,6,1,5,4,3,7]=>{{1,2,6},{3},{4,5},{7}}=>11
[1,4,7,6,3,2,5]=>[1,3,6,4,2,7,5]=>[2,6,3,5,1,4,7]=>{{1,2,6},{3},{4,5},{7}}=>11
[1,4,7,6,3,5,2]=>[1,5,6,4,3,7,2]=>[2,1,6,5,3,4,7]=>{{1,2},{3,6},{4,5},{7}}=>11
[1,4,7,6,5,2,3]=>[1,5,2,4,6,7,3]=>[2,4,1,5,3,6,7]=>{{1,2,4,5},{3},{6},{7}}=>13
[1,4,7,6,5,3,2]=>[1,3,5,4,6,7,2]=>[2,1,3,5,4,6,7]=>{{1,2},{3},{4,5},{6},{7}}=>16
[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[2,4,5,6,3,7,1]=>{{1,2,4,6,7},{3,5}}=>2
[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>[2,4,5,6,3,1,7]=>{{1,2,4,6},{3,5},{7}}=>8
[1,5,2,3,6,4,7]=>[1,5,2,6,3,4,7]=>[2,4,6,7,3,5,1]=>{{1,2,4,7},{3,6},{5}}=>6
[1,5,2,3,6,7,4]=>[1,5,2,7,3,6,4]=>[2,4,6,1,3,7,5]=>{{1,2,4},{3,6,7},{5}}=>6
[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>[2,4,6,7,3,1,5]=>{{1,2,4,7},{3,6},{5}}=>6
[1,5,2,3,7,6,4]=>[1,5,2,6,3,7,4]=>[2,4,6,1,3,5,7]=>{{1,2,4},{3,6},{5},{7}}=>12
[1,5,2,4,3,6,7]=>[1,5,4,2,3,6,7]=>[2,5,6,4,3,7,1]=>{{1,2,5},{3,6,7},{4}}=>5
[1,5,2,4,3,7,6]=>[1,5,4,2,3,7,6]=>[2,5,6,4,3,1,7]=>{{1,2,5},{3,6},{4},{7}}=>11
[1,5,2,4,6,3,7]=>[1,5,6,2,4,3,7]=>[2,5,7,6,3,4,1]=>{{1,2,5},{3,7},{4,6}}=>5
[1,5,2,4,6,7,3]=>[1,5,7,2,4,6,3]=>[2,5,1,6,3,7,4]=>{{1,2,5},{3},{4,6,7}}=>5
[1,5,2,4,7,3,6]=>[1,5,7,2,4,3,6]=>[2,5,7,6,3,1,4]=>{{1,2,5},{3,7},{4,6}}=>5
[1,5,2,4,7,6,3]=>[1,5,6,2,4,7,3]=>[2,5,1,6,3,4,7]=>{{1,2,5},{3},{4,6},{7}}=>11
[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>[2,6,5,7,3,4,1]=>{{1,2,6},{3,5},{4,7}}=>5
[1,5,2,6,3,7,4]=>[1,5,6,7,2,3,4]=>[2,6,7,1,3,4,5]=>{{1,2,6},{3,7},{4},{5}}=>9
[1,5,2,6,4,3,7]=>[1,5,4,6,2,3,7]=>[2,6,7,4,3,5,1]=>{{1,2,6},{3,7},{4},{5}}=>9
[1,5,2,6,4,7,3]=>[1,5,7,6,2,4,3]=>[2,6,1,7,3,5,4]=>{{1,2,6},{3},{4,7},{5}}=>9
[1,5,2,6,7,3,4]=>[1,5,7,3,2,6,4]=>[2,6,5,1,3,7,4]=>{{1,2,6,7},{3,5},{4}}=>5
[1,5,2,6,7,4,3]=>[1,5,4,7,2,6,3]=>[2,6,1,4,3,7,5]=>{{1,2,6,7},{3},{4},{5}}=>9
[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[2,6,5,7,3,1,4]=>{{1,2,6},{3,5},{4,7}}=>5
[1,5,2,7,3,6,4]=>[1,5,7,6,2,3,4]=>[2,6,7,1,3,5,4]=>{{1,2,6},{3,7},{4},{5}}=>9
[1,5,2,7,4,3,6]=>[1,5,4,7,2,3,6]=>[2,6,7,4,3,1,5]=>{{1,2,6},{3,7},{4},{5}}=>9
[1,5,2,7,4,6,3]=>[1,5,6,7,2,4,3]=>[2,6,1,7,3,4,5]=>{{1,2,6},{3},{4,7},{5}}=>9
[1,5,2,7,6,3,4]=>[1,5,6,3,2,7,4]=>[2,6,5,1,3,4,7]=>{{1,2,6},{3,5},{4},{7}}=>11
[1,5,2,7,6,4,3]=>[1,5,4,6,2,7,3]=>[2,6,1,4,3,5,7]=>{{1,2,6},{3},{4},{5},{7}}=>15
[1,5,3,2,4,6,7]=>[1,3,5,2,4,6,7]=>[2,5,3,6,4,7,1]=>{{1,2,5},{3},{4,6,7}}=>5
[1,5,3,2,4,7,6]=>[1,3,5,2,4,7,6]=>[2,5,3,6,4,1,7]=>{{1,2,5},{3},{4,6},{7}}=>11
[1,5,3,2,6,4,7]=>[1,3,5,6,2,4,7]=>[2,6,3,7,4,5,1]=>{{1,2,6},{3},{4,7},{5}}=>9
[1,5,3,2,6,7,4]=>[1,3,5,7,2,6,4]=>[2,6,3,1,4,7,5]=>{{1,2,6,7},{3},{4},{5}}=>9
[1,5,3,2,7,4,6]=>[1,3,5,7,2,4,6]=>[2,6,3,7,4,1,5]=>{{1,2,6},{3},{4,7},{5}}=>9
[1,5,3,2,7,6,4]=>[1,3,5,6,2,7,4]=>[2,6,3,1,4,5,7]=>{{1,2,6},{3},{4},{5},{7}}=>15
[1,5,3,4,2,6,7]=>[1,4,5,3,2,6,7]=>[2,6,5,3,4,7,1]=>{{1,2,6,7},{3,5},{4}}=>5
[1,5,3,4,2,7,6]=>[1,4,5,3,2,7,6]=>[2,6,5,3,4,1,7]=>{{1,2,6},{3,5},{4},{7}}=>11
[1,5,3,4,6,2,7]=>[1,6,5,3,4,2,7]=>[2,7,5,6,4,3,1]=>{{1,2,7},{3,5},{4,6}}=>5
[1,5,3,4,6,7,2]=>[1,7,5,3,4,6,2]=>[2,1,5,6,4,7,3]=>{{1,2},{3,5},{4,6,7}}=>5
[1,5,3,4,7,2,6]=>[1,7,5,3,4,2,6]=>[2,7,5,6,4,1,3]=>{{1,2,7},{3,5},{4,6}}=>5
[1,5,3,4,7,6,2]=>[1,6,5,3,4,7,2]=>[2,1,5,6,4,3,7]=>{{1,2},{3,5},{4,6},{7}}=>11
[1,5,3,6,2,4,7]=>[1,6,5,2,3,4,7]=>[2,5,6,7,4,3,1]=>{{1,2,5},{3,6},{4,7}}=>5
[1,5,3,6,2,7,4]=>[1,6,5,7,3,2,4]=>[2,7,6,1,4,3,5]=>{{1,2,7},{3,6},{4},{5}}=>9
[1,5,3,6,4,2,7]=>[1,4,6,5,2,3,7]=>[2,6,7,3,5,4,1]=>{{1,2,6},{3,7},{4},{5}}=>9
[1,5,3,6,4,7,2]=>[1,7,5,6,3,4,2]=>[2,1,6,7,4,5,3]=>{{1,2},{3,6},{4,7},{5}}=>9
[1,5,3,6,7,2,4]=>[1,7,5,2,3,6,4]=>[2,5,6,1,4,7,3]=>{{1,2,5},{3,6,7},{4}}=>5
[1,5,3,6,7,4,2]=>[1,4,7,5,2,6,3]=>[2,6,1,3,5,7,4]=>{{1,2,6,7},{3},{4},{5}}=>9
[1,5,3,7,2,4,6]=>[1,7,5,2,3,4,6]=>[2,5,6,7,4,1,3]=>{{1,2,5},{3,6},{4,7}}=>5
[1,5,3,7,2,6,4]=>[1,7,5,6,3,2,4]=>[2,7,6,1,4,5,3]=>{{1,2,7},{3,6},{4},{5}}=>9
[1,5,3,7,4,2,6]=>[1,4,7,5,2,3,6]=>[2,6,7,3,5,1,4]=>{{1,2,6},{3,7},{4},{5}}=>9
[1,5,3,7,4,6,2]=>[1,6,5,7,3,4,2]=>[2,1,6,7,4,3,5]=>{{1,2},{3,6},{4,7},{5}}=>9
[1,5,3,7,6,2,4]=>[1,6,5,2,3,7,4]=>[2,5,6,1,4,3,7]=>{{1,2,5},{3,6},{4},{7}}=>11
[1,5,3,7,6,4,2]=>[1,4,6,5,2,7,3]=>[2,6,1,3,5,4,7]=>{{1,2,6},{3},{4},{5},{7}}=>15
[1,5,4,2,3,6,7]=>[1,4,2,5,3,6,7]=>[2,4,6,3,5,7,1]=>{{1,2,4},{3,6,7},{5}}=>6
[1,5,4,2,3,7,6]=>[1,4,2,5,3,7,6]=>[2,4,6,3,5,1,7]=>{{1,2,4},{3,6},{5},{7}}=>12
[1,5,4,2,6,3,7]=>[1,4,5,6,3,2,7]=>[2,7,6,3,4,5,1]=>{{1,2,7},{3,6},{4},{5}}=>9
[1,5,4,2,6,7,3]=>[1,4,5,7,3,6,2]=>[2,1,6,3,4,7,5]=>{{1,2},{3,6,7},{4},{5}}=>9
[1,5,4,2,7,3,6]=>[1,4,5,7,3,2,6]=>[2,7,6,3,4,1,5]=>{{1,2,7},{3,6},{4},{5}}=>9
[1,5,4,2,7,6,3]=>[1,4,5,6,3,7,2]=>[2,1,6,3,4,5,7]=>{{1,2},{3,6},{4},{5},{7}}=>15
[1,5,4,3,2,6,7]=>[1,3,4,5,2,6,7]=>[2,6,3,4,5,7,1]=>{{1,2,6,7},{3},{4},{5}}=>9
[1,5,4,3,2,7,6]=>[1,3,4,5,2,7,6]=>[2,6,3,4,5,1,7]=>{{1,2,6},{3},{4},{5},{7}}=>15
[1,5,4,3,6,2,7]=>[1,6,4,5,3,2,7]=>[2,7,6,4,5,3,1]=>{{1,2,7},{3,6},{4},{5}}=>9
[1,5,4,3,6,7,2]=>[1,7,4,5,3,6,2]=>[2,1,6,4,5,7,3]=>{{1,2},{3,6,7},{4},{5}}=>9
[1,5,4,3,7,2,6]=>[1,7,4,5,3,2,6]=>[2,7,6,4,5,1,3]=>{{1,2,7},{3,6},{4},{5}}=>9
[1,5,4,3,7,6,2]=>[1,6,4,5,3,7,2]=>[2,1,6,4,5,3,7]=>{{1,2},{3,6},{4},{5},{7}}=>15
[1,5,4,6,2,3,7]=>[1,6,2,5,4,3,7]=>[2,4,7,6,5,3,1]=>{{1,2,4,6},{3,7},{5}}=>6
[1,5,4,6,2,7,3]=>[1,6,7,5,4,2,3]=>[2,7,1,6,5,3,4]=>{{1,2,7},{3},{4,6},{5}}=>9
[1,5,4,6,3,2,7]=>[1,3,6,5,4,2,7]=>[2,7,3,6,5,4,1]=>{{1,2,7},{3},{4,6},{5}}=>9
[1,5,4,6,3,7,2]=>[1,7,6,5,4,3,2]=>[2,1,7,6,5,4,3]=>{{1,2},{3,7},{4,6},{5}}=>9
[1,5,4,6,7,2,3]=>[1,7,2,5,4,6,3]=>[2,4,1,6,5,7,3]=>{{1,2,4,6,7},{3},{5}}=>6
[1,5,4,6,7,3,2]=>[1,3,7,5,4,6,2]=>[2,1,3,6,5,7,4]=>{{1,2},{3},{4,6,7},{5}}=>9
[1,5,4,7,2,3,6]=>[1,7,2,5,4,3,6]=>[2,4,7,6,5,1,3]=>{{1,2,4,6},{3,7},{5}}=>6
[1,5,4,7,2,6,3]=>[1,7,6,5,4,2,3]=>[2,7,1,6,5,4,3]=>{{1,2,7},{3},{4,6},{5}}=>9
[1,5,4,7,3,2,6]=>[1,3,7,5,4,2,6]=>[2,7,3,6,5,1,4]=>{{1,2,7},{3},{4,6},{5}}=>9
[1,5,4,7,3,6,2]=>[1,6,7,5,4,3,2]=>[2,1,7,6,5,3,4]=>{{1,2},{3,7},{4,6},{5}}=>9
[1,5,4,7,6,2,3]=>[1,6,2,5,4,7,3]=>[2,4,1,6,5,3,7]=>{{1,2,4,6},{3},{5},{7}}=>12
[1,5,4,7,6,3,2]=>[1,3,6,5,4,7,2]=>[2,1,3,6,5,4,7]=>{{1,2},{3},{4,6},{5},{7}}=>15
[1,5,6,2,3,4,7]=>[1,6,2,3,5,4,7]=>[2,4,5,7,6,3,1]=>{{1,2,4,7},{3,5,6}}=>2
[1,5,6,2,3,7,4]=>[1,6,2,7,5,3,4]=>[2,4,7,1,6,3,5]=>{{1,2,4},{3,7},{5,6}}=>6
[1,5,6,2,4,3,7]=>[1,6,4,2,5,3,7]=>[2,5,7,4,6,3,1]=>{{1,2,5,6},{3,7},{4}}=>5
[1,5,6,2,4,7,3]=>[1,6,7,2,5,4,3]=>[2,5,1,7,6,3,4]=>{{1,2,5,6},{3},{4,7}}=>5
[1,5,6,2,7,3,4]=>[1,6,7,3,5,2,4]=>[2,7,5,1,6,3,4]=>{{1,2,7},{3,5,6},{4}}=>5
[1,5,6,2,7,4,3]=>[1,6,4,7,5,2,3]=>[2,7,1,4,6,3,5]=>{{1,2,7},{3},{4},{5,6}}=>9
[1,5,6,3,2,4,7]=>[1,3,6,2,5,4,7]=>[2,5,3,7,6,4,1]=>{{1,2,5,6},{3},{4,7}}=>5
[1,5,6,3,2,7,4]=>[1,3,6,7,5,2,4]=>[2,7,3,1,6,4,5]=>{{1,2,7},{3},{4},{5,6}}=>9
[1,5,6,3,4,2,7]=>[1,4,6,3,5,2,7]=>[2,7,5,3,6,4,1]=>{{1,2,7},{3,5,6},{4}}=>5
[1,5,6,3,4,7,2]=>[1,7,6,3,5,4,2]=>[2,1,5,7,6,4,3]=>{{1,2},{3,5,6},{4,7}}=>5
[1,5,6,3,7,2,4]=>[1,7,6,2,5,3,4]=>[2,5,7,1,6,4,3]=>{{1,2,5,6},{3,7},{4}}=>5
[1,5,6,3,7,4,2]=>[1,4,7,6,5,2,3]=>[2,7,1,3,6,5,4]=>{{1,2,7},{3},{4},{5,6}}=>9
[1,5,6,4,2,3,7]=>[1,4,2,6,5,3,7]=>[2,4,7,3,6,5,1]=>{{1,2,4},{3,7},{5,6}}=>6
[1,5,6,4,2,7,3]=>[1,4,6,7,5,3,2]=>[2,1,7,3,6,4,5]=>{{1,2},{3,7},{4},{5,6}}=>9
[1,5,6,4,3,2,7]=>[1,3,4,6,5,2,7]=>[2,7,3,4,6,5,1]=>{{1,2,7},{3},{4},{5,6}}=>9
[1,5,6,4,3,7,2]=>[1,7,4,6,5,3,2]=>[2,1,7,4,6,5,3]=>{{1,2},{3,7},{4},{5,6}}=>9
[1,5,6,4,7,2,3]=>[1,7,2,6,5,4,3]=>[2,4,1,7,6,5,3]=>{{1,2,4,7},{3},{5,6}}=>6
[1,5,6,4,7,3,2]=>[1,3,7,6,5,4,2]=>[2,1,3,7,6,5,4]=>{{1,2},{3},{4,7},{5,6}}=>9
[1,5,6,7,2,3,4]=>[1,7,2,3,5,6,4]=>[2,4,5,1,6,7,3]=>{{1,2,4},{3,5,6,7}}=>2
[1,5,6,7,2,4,3]=>[1,7,4,2,5,6,3]=>[2,5,1,4,6,7,3]=>{{1,2,5,6,7},{3},{4}}=>5
[1,5,6,7,3,2,4]=>[1,3,7,2,5,6,4]=>[2,5,3,1,6,7,4]=>{{1,2,5,6,7},{3},{4}}=>5
[1,5,6,7,3,4,2]=>[1,4,7,3,5,6,2]=>[2,1,5,3,6,7,4]=>{{1,2},{3,5,6,7},{4}}=>5
[1,5,6,7,4,2,3]=>[1,4,2,7,5,6,3]=>[2,4,1,3,6,7,5]=>{{1,2,4},{3},{5,6,7}}=>6
[1,5,6,7,4,3,2]=>[1,3,4,7,5,6,2]=>[2,1,3,4,6,7,5]=>{{1,2},{3},{4},{5,6,7}}=>9
[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>[2,4,5,7,6,1,3]=>{{1,2,4,7},{3,5,6}}=>2
[1,5,7,2,3,6,4]=>[1,7,2,6,5,3,4]=>[2,4,7,1,6,5,3]=>{{1,2,4},{3,7},{5,6}}=>6
[1,5,7,2,4,3,6]=>[1,7,4,2,5,3,6]=>[2,5,7,4,6,1,3]=>{{1,2,5,6},{3,7},{4}}=>5
[1,5,7,2,4,6,3]=>[1,7,6,2,5,4,3]=>[2,5,1,7,6,4,3]=>{{1,2,5,6},{3},{4,7}}=>5
[1,5,7,2,6,3,4]=>[1,7,6,3,5,2,4]=>[2,7,5,1,6,4,3]=>{{1,2,7},{3,5,6},{4}}=>5
[1,5,7,2,6,4,3]=>[1,7,4,6,5,2,3]=>[2,7,1,4,6,5,3]=>{{1,2,7},{3},{4},{5,6}}=>9
[1,5,7,3,2,4,6]=>[1,3,7,2,5,4,6]=>[2,5,3,7,6,1,4]=>{{1,2,5,6},{3},{4,7}}=>5
[1,5,7,3,2,6,4]=>[1,3,7,6,5,2,4]=>[2,7,3,1,6,5,4]=>{{1,2,7},{3},{4},{5,6}}=>9
[1,5,7,3,4,2,6]=>[1,4,7,3,5,2,6]=>[2,7,5,3,6,1,4]=>{{1,2,7},{3,5,6},{4}}=>5
[1,5,7,3,4,6,2]=>[1,6,7,3,5,4,2]=>[2,1,5,7,6,3,4]=>{{1,2},{3,5,6},{4,7}}=>5
[1,5,7,3,6,2,4]=>[1,6,7,2,5,3,4]=>[2,5,7,1,6,3,4]=>{{1,2,5,6},{3,7},{4}}=>5
[1,5,7,3,6,4,2]=>[1,4,6,7,5,2,3]=>[2,7,1,3,6,4,5]=>{{1,2,7},{3},{4},{5,6}}=>9
[1,5,7,4,2,3,6]=>[1,4,2,7,5,3,6]=>[2,4,7,3,6,1,5]=>{{1,2,4},{3,7},{5,6}}=>6
[1,5,7,4,2,6,3]=>[1,4,7,6,5,3,2]=>[2,1,7,3,6,5,4]=>{{1,2},{3,7},{4},{5,6}}=>9
[1,5,7,4,3,2,6]=>[1,3,4,7,5,2,6]=>[2,7,3,4,6,1,5]=>{{1,2,7},{3},{4},{5,6}}=>9
[1,5,7,4,3,6,2]=>[1,6,4,7,5,3,2]=>[2,1,7,4,6,3,5]=>{{1,2},{3,7},{4},{5,6}}=>9
[1,5,7,4,6,2,3]=>[1,6,2,7,5,4,3]=>[2,4,1,7,6,3,5]=>{{1,2,4,7},{3},{5,6}}=>6
[1,5,7,4,6,3,2]=>[1,3,6,7,5,4,2]=>[2,1,3,7,6,4,5]=>{{1,2},{3},{4,7},{5,6}}=>9
[1,5,7,6,2,3,4]=>[1,6,2,3,5,7,4]=>[2,4,5,1,6,3,7]=>{{1,2,4},{3,5,6},{7}}=>8
[1,5,7,6,2,4,3]=>[1,6,4,2,5,7,3]=>[2,5,1,4,6,3,7]=>{{1,2,5,6},{3},{4},{7}}=>11
[1,5,7,6,3,2,4]=>[1,3,6,2,5,7,4]=>[2,5,3,1,6,4,7]=>{{1,2,5,6},{3},{4},{7}}=>11
[1,5,7,6,3,4,2]=>[1,4,6,3,5,7,2]=>[2,1,5,3,6,4,7]=>{{1,2},{3,5,6},{4},{7}}=>11
[1,5,7,6,4,2,3]=>[1,4,2,6,5,7,3]=>[2,4,1,3,6,5,7]=>{{1,2,4},{3},{5,6},{7}}=>12
[1,5,7,6,4,3,2]=>[1,3,4,6,5,7,2]=>[2,1,3,4,6,5,7]=>{{1,2},{3},{4},{5,6},{7}}=>15
[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[2,4,5,6,7,3,1]=>{{1,2,4,6},{3,5,7}}=>2
[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>[2,4,5,7,1,3,6]=>{{1,2,4,7},{3,5},{6}}=>7
[1,6,2,3,5,4,7]=>[1,6,2,5,3,4,7]=>[2,4,6,7,5,3,1]=>{{1,2,4,7},{3,6},{5}}=>6
[1,6,2,3,5,7,4]=>[1,6,2,7,3,5,4]=>[2,4,6,1,7,3,5]=>{{1,2,4},{3,6},{5,7}}=>6
[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[2,4,7,6,1,3,5]=>{{1,2,4,6},{3,7},{5}}=>6
[1,6,2,3,7,5,4]=>[1,6,2,5,7,3,4]=>[2,4,7,1,5,3,6]=>{{1,2,4},{3,7},{5},{6}}=>11
[1,6,2,4,3,5,7]=>[1,6,4,2,3,5,7]=>[2,5,6,4,7,3,1]=>{{1,2,5,7},{3,6},{4}}=>5
[1,6,2,4,3,7,5]=>[1,6,4,2,7,3,5]=>[2,5,7,4,1,3,6]=>{{1,2,5},{3,7},{4},{6}}=>10
[1,6,2,4,5,3,7]=>[1,6,5,2,4,3,7]=>[2,5,7,6,4,3,1]=>{{1,2,5},{3,7},{4,6}}=>5
[1,6,2,4,5,7,3]=>[1,6,7,2,3,4,5]=>[2,5,6,7,1,3,4]=>{{1,2,5},{3,6},{4,7}}=>5
[1,6,2,4,7,3,5]=>[1,6,7,2,4,5,3]=>[2,5,1,6,7,3,4]=>{{1,2,5,7},{3},{4,6}}=>5
[1,6,2,4,7,5,3]=>[1,6,5,2,7,4,3]=>[2,5,1,7,4,3,6]=>{{1,2,5},{3},{4,7},{6}}=>10
[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>[2,6,5,7,4,3,1]=>{{1,2,6},{3,5},{4,7}}=>5
[1,6,2,5,3,7,4]=>[1,6,5,7,2,3,4]=>[2,6,7,1,4,3,5]=>{{1,2,6},{3,7},{4},{5}}=>9
[1,6,2,5,4,3,7]=>[1,6,4,5,2,3,7]=>[2,6,7,4,5,3,1]=>{{1,2,6},{3,7},{4},{5}}=>9
[1,6,2,5,4,7,3]=>[1,6,7,5,2,4,3]=>[2,6,1,7,5,3,4]=>{{1,2,6},{3},{4,7},{5}}=>9
[1,6,2,5,7,3,4]=>[1,6,7,3,2,5,4]=>[2,6,5,1,7,3,4]=>{{1,2,6},{3,5,7},{4}}=>5
[1,6,2,5,7,4,3]=>[1,6,4,7,2,5,3]=>[2,6,1,4,7,3,5]=>{{1,2,6},{3},{4},{5,7}}=>9
[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[2,7,5,6,1,3,4]=>{{1,2,7},{3,5},{4,6}}=>5
[1,6,2,7,3,5,4]=>[1,6,7,5,3,2,4]=>[2,7,6,1,5,3,4]=>{{1,2,7},{3,6},{4},{5}}=>9
[1,6,2,7,4,3,5]=>[1,6,4,7,3,2,5]=>[2,7,6,4,1,3,5]=>{{1,2,7},{3,6},{4},{5}}=>9
[1,6,2,7,4,5,3]=>[1,6,5,7,4,2,3]=>[2,7,1,6,4,3,5]=>{{1,2,7},{3},{4,6},{5}}=>9
[1,6,2,7,5,3,4]=>[1,6,5,3,7,2,4]=>[2,7,5,1,4,3,6]=>{{1,2,7},{3,5},{4},{6}}=>10
[1,6,2,7,5,4,3]=>[1,6,4,5,7,2,3]=>[2,7,1,4,5,3,6]=>{{1,2,7},{3},{4},{5},{6}}=>14
[1,6,3,2,4,5,7]=>[1,3,6,2,4,5,7]=>[2,5,3,6,7,4,1]=>{{1,2,5,7},{3},{4,6}}=>5
[1,6,3,2,4,7,5]=>[1,3,6,2,7,4,5]=>[2,5,3,7,1,4,6]=>{{1,2,5},{3},{4,7},{6}}=>10
[1,6,3,2,5,4,7]=>[1,3,6,5,2,4,7]=>[2,6,3,7,5,4,1]=>{{1,2,6},{3},{4,7},{5}}=>9
[1,6,3,2,5,7,4]=>[1,3,6,7,2,5,4]=>[2,6,3,1,7,4,5]=>{{1,2,6},{3},{4},{5,7}}=>9
[1,6,3,2,7,4,5]=>[1,3,6,7,4,2,5]=>[2,7,3,6,1,4,5]=>{{1,2,7},{3},{4,6},{5}}=>9
[1,6,3,2,7,5,4]=>[1,3,6,5,7,2,4]=>[2,7,3,1,5,4,6]=>{{1,2,7},{3},{4},{5},{6}}=>14
[1,6,3,4,2,5,7]=>[1,4,6,3,2,5,7]=>[2,6,5,3,7,4,1]=>{{1,2,6},{3,5,7},{4}}=>5
[1,6,3,4,2,7,5]=>[1,4,6,3,7,2,5]=>[2,7,5,3,1,4,6]=>{{1,2,7},{3,5},{4},{6}}=>10
[1,6,3,4,5,2,7]=>[1,5,6,3,4,2,7]=>[2,7,5,6,3,4,1]=>{{1,2,7},{3,5},{4,6}}=>5
[1,6,3,4,5,7,2]=>[1,7,6,3,4,5,2]=>[2,1,5,6,7,4,3]=>{{1,2},{3,5,7},{4,6}}=>5
[1,6,3,4,7,2,5]=>[1,7,6,3,2,4,5]=>[2,6,5,7,1,4,3]=>{{1,2,6},{3,5},{4,7}}=>5
[1,6,3,4,7,5,2]=>[1,5,7,3,6,2,4]=>[2,7,5,1,3,6,4]=>{{1,2,7},{3,5},{4},{6}}=>10
[1,6,3,5,2,4,7]=>[1,5,6,2,3,4,7]=>[2,5,6,7,3,4,1]=>{{1,2,5},{3,6},{4,7}}=>5
[1,6,3,5,2,7,4]=>[1,5,6,7,3,2,4]=>[2,7,6,1,3,4,5]=>{{1,2,7},{3,6},{4},{5}}=>9
[1,6,3,5,4,2,7]=>[1,4,5,6,2,3,7]=>[2,6,7,3,4,5,1]=>{{1,2,6},{3,7},{4},{5}}=>9
[1,6,3,5,4,7,2]=>[1,7,6,5,3,4,2]=>[2,1,6,7,5,4,3]=>{{1,2},{3,6},{4,7},{5}}=>9
[1,6,3,5,7,2,4]=>[1,7,6,2,4,3,5]=>[2,5,7,6,1,4,3]=>{{1,2,5},{3,7},{4,6}}=>5
[1,6,3,5,7,4,2]=>[1,4,7,6,3,2,5]=>[2,7,6,3,1,5,4]=>{{1,2,7},{3,6},{4},{5}}=>9
[1,6,3,7,2,4,5]=>[1,7,6,2,3,5,4]=>[2,5,6,1,7,4,3]=>{{1,2,5,7},{3,6},{4}}=>5
[1,6,3,7,2,5,4]=>[1,7,6,5,2,3,4]=>[2,6,7,1,5,4,3]=>{{1,2,6},{3,7},{4},{5}}=>9
[1,6,3,7,4,2,5]=>[1,4,7,6,2,5,3]=>[2,6,1,3,7,5,4]=>{{1,2,6},{3},{4},{5,7}}=>9
[1,6,3,7,4,5,2]=>[1,5,6,7,4,3,2]=>[2,1,7,6,3,4,5]=>{{1,2},{3,7},{4,6},{5}}=>9
[1,6,3,7,5,2,4]=>[1,5,7,2,6,4,3]=>[2,5,1,7,3,6,4]=>{{1,2,5},{3},{4,7},{6}}=>10
[1,6,3,7,5,4,2]=>[1,4,5,7,6,3,2]=>[2,1,7,3,4,6,5]=>{{1,2},{3,7},{4},{5},{6}}=>14
[1,6,4,2,3,5,7]=>[1,4,2,6,3,5,7]=>[2,4,6,3,7,5,1]=>{{1,2,4},{3,6},{5,7}}=>6
[1,6,4,2,3,7,5]=>[1,4,2,6,7,3,5]=>[2,4,7,3,1,5,6]=>{{1,2,4},{3,7},{5},{6}}=>11
[1,6,4,2,5,3,7]=>[1,4,6,5,3,2,7]=>[2,7,6,3,5,4,1]=>{{1,2,7},{3,6},{4},{5}}=>9
[1,6,4,2,5,7,3]=>[1,4,6,7,2,3,5]=>[2,6,7,3,1,4,5]=>{{1,2,6},{3,7},{4},{5}}=>9
[1,6,4,2,7,3,5]=>[1,4,6,7,3,5,2]=>[2,1,6,3,7,4,5]=>{{1,2},{3,6},{4},{5,7}}=>9
[1,6,4,2,7,5,3]=>[1,4,6,5,7,3,2]=>[2,1,7,3,5,4,6]=>{{1,2},{3,7},{4},{5},{6}}=>14
[1,6,4,3,2,5,7]=>[1,3,4,6,2,5,7]=>[2,6,3,4,7,5,1]=>{{1,2,6},{3},{4},{5,7}}=>9
[1,6,4,3,2,7,5]=>[1,3,4,6,7,2,5]=>[2,7,3,4,1,5,6]=>{{1,2,7},{3},{4},{5},{6}}=>14
[1,6,4,3,5,2,7]=>[1,5,4,6,3,2,7]=>[2,7,6,4,3,5,1]=>{{1,2,7},{3,6},{4},{5}}=>9
[1,6,4,3,5,7,2]=>[1,7,4,6,3,5,2]=>[2,1,6,4,7,5,3]=>{{1,2},{3,6},{4},{5,7}}=>9
[1,6,4,3,7,2,5]=>[1,7,4,6,2,3,5]=>[2,6,7,4,1,5,3]=>{{1,2,6},{3,7},{4},{5}}=>9
[1,6,4,3,7,5,2]=>[1,5,4,7,6,2,3]=>[2,7,1,4,3,6,5]=>{{1,2,7},{3},{4},{5},{6}}=>14
[1,6,4,5,2,3,7]=>[1,5,2,6,4,3,7]=>[2,4,7,6,3,5,1]=>{{1,2,4,6},{3,7},{5}}=>6
[1,6,4,5,2,7,3]=>[1,5,7,6,4,2,3]=>[2,7,1,6,3,5,4]=>{{1,2,7},{3},{4,6},{5}}=>9
[1,6,4,5,3,2,7]=>[1,3,5,6,4,2,7]=>[2,7,3,6,4,5,1]=>{{1,2,7},{3},{4,6},{5}}=>9
[1,6,4,5,3,7,2]=>[1,7,5,6,4,3,2]=>[2,1,7,6,4,5,3]=>{{1,2},{3,7},{4,6},{5}}=>9
[1,6,4,5,7,2,3]=>[1,7,2,6,4,5,3]=>[2,4,1,6,7,5,3]=>{{1,2,4,6},{3},{5,7}}=>6
[1,6,4,5,7,3,2]=>[1,3,7,6,4,5,2]=>[2,1,3,6,7,5,4]=>{{1,2},{3},{4,6},{5,7}}=>9
[1,6,4,7,2,3,5]=>[1,7,2,6,3,4,5]=>[2,4,6,7,1,5,3]=>{{1,2,4,7},{3,6},{5}}=>6
[1,6,4,7,2,5,3]=>[1,7,5,6,2,4,3]=>[2,6,1,7,4,5,3]=>{{1,2,6},{3},{4,7},{5}}=>9
[1,6,4,7,3,2,5]=>[1,3,7,6,2,4,5]=>[2,6,3,7,1,5,4]=>{{1,2,6},{3},{4,7},{5}}=>9
[1,6,4,7,3,5,2]=>[1,5,7,6,3,4,2]=>[2,1,6,7,3,5,4]=>{{1,2},{3,6},{4,7},{5}}=>9
[1,6,4,7,5,2,3]=>[1,5,2,7,6,3,4]=>[2,4,7,1,3,6,5]=>{{1,2,4},{3,7},{5},{6}}=>11
[1,6,4,7,5,3,2]=>[1,3,5,7,6,2,4]=>[2,7,3,1,4,6,5]=>{{1,2,7},{3},{4},{5},{6}}=>14
[1,6,5,2,3,4,7]=>[1,5,2,3,6,4,7]=>[2,4,5,7,3,6,1]=>{{1,2,4,7},{3,5},{6}}=>7
[1,6,5,2,3,7,4]=>[1,5,2,6,7,4,3]=>[2,4,1,7,3,5,6]=>{{1,2,4,7},{3},{5},{6}}=>11
[1,6,5,2,4,3,7]=>[1,5,4,2,6,3,7]=>[2,5,7,4,3,6,1]=>{{1,2,5},{3,7},{4},{6}}=>10
[1,6,5,2,4,7,3]=>[1,5,6,2,7,3,4]=>[2,5,7,1,3,4,6]=>{{1,2,5},{3,7},{4},{6}}=>10
[1,6,5,2,7,3,4]=>[1,5,6,3,7,4,2]=>[2,1,5,7,3,4,6]=>{{1,2},{3,5},{4,7},{6}}=>10
[1,6,5,2,7,4,3]=>[1,5,4,6,7,3,2]=>[2,1,7,4,3,5,6]=>{{1,2},{3,7},{4},{5},{6}}=>14
[1,6,5,3,2,4,7]=>[1,3,5,2,6,4,7]=>[2,5,3,7,4,6,1]=>{{1,2,5},{3},{4,7},{6}}=>10
[1,6,5,3,2,7,4]=>[1,3,5,6,7,4,2]=>[2,1,3,7,4,5,6]=>{{1,2},{3},{4,7},{5},{6}}=>14
[1,6,5,3,4,2,7]=>[1,4,5,3,6,2,7]=>[2,7,5,3,4,6,1]=>{{1,2,7},{3,5},{4},{6}}=>10
[1,6,5,3,4,7,2]=>[1,7,5,3,6,4,2]=>[2,1,5,7,4,6,3]=>{{1,2},{3,5},{4,7},{6}}=>10
[1,6,5,3,7,2,4]=>[1,7,5,2,6,3,4]=>[2,5,7,1,4,6,3]=>{{1,2,5},{3,7},{4},{6}}=>10
[1,6,5,3,7,4,2]=>[1,4,7,5,6,2,3]=>[2,7,1,3,5,6,4]=>{{1,2,7},{3},{4},{5},{6}}=>14
[1,6,5,4,2,3,7]=>[1,4,2,5,6,3,7]=>[2,4,7,3,5,6,1]=>{{1,2,4},{3,7},{5},{6}}=>11
[1,6,5,4,2,7,3]=>[1,4,5,6,7,2,3]=>[2,7,1,3,4,5,6]=>{{1,2,7},{3},{4},{5},{6}}=>14
[1,6,5,4,3,2,7]=>[1,3,4,5,6,2,7]=>[2,7,3,4,5,6,1]=>{{1,2,7},{3},{4},{5},{6}}=>14
[1,6,5,4,3,7,2]=>[1,7,4,5,6,3,2]=>[2,1,7,4,5,6,3]=>{{1,2},{3,7},{4},{5},{6}}=>14
[1,6,5,4,7,2,3]=>[1,7,2,5,6,4,3]=>[2,4,1,7,5,6,3]=>{{1,2,4,7},{3},{5},{6}}=>11
[1,6,5,4,7,3,2]=>[1,3,7,5,6,4,2]=>[2,1,3,7,5,6,4]=>{{1,2},{3},{4,7},{5},{6}}=>14
[1,6,5,7,2,3,4]=>[1,7,2,3,6,5,4]=>[2,4,5,1,7,6,3]=>{{1,2,4},{3,5,7},{6}}=>7
[1,6,5,7,2,4,3]=>[1,7,4,2,6,5,3]=>[2,5,1,4,7,6,3]=>{{1,2,5,7},{3},{4},{6}}=>10
[1,6,5,7,3,2,4]=>[1,3,7,2,6,5,4]=>[2,5,3,1,7,6,4]=>{{1,2,5,7},{3},{4},{6}}=>10
[1,6,5,7,3,4,2]=>[1,4,7,3,6,5,2]=>[2,1,5,3,7,6,4]=>{{1,2},{3,5,7},{4},{6}}=>10
[1,6,5,7,4,2,3]=>[1,4,2,7,6,5,3]=>[2,4,1,3,7,6,5]=>{{1,2,4},{3},{5,7},{6}}=>11
[1,6,5,7,4,3,2]=>[1,3,4,7,6,5,2]=>[2,1,3,4,7,6,5]=>{{1,2},{3},{4},{5,7},{6}}=>14
[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>[2,4,5,6,1,7,3]=>{{1,2,4,6,7},{3,5}}=>2
[1,6,7,2,3,5,4]=>[1,7,2,5,3,6,4]=>[2,4,6,1,5,7,3]=>{{1,2,4},{3,6,7},{5}}=>6
[1,6,7,2,4,3,5]=>[1,7,4,2,3,6,5]=>[2,5,6,4,1,7,3]=>{{1,2,5},{3,6,7},{4}}=>5
[1,6,7,2,4,5,3]=>[1,7,5,2,4,6,3]=>[2,5,1,6,4,7,3]=>{{1,2,5},{3},{4,6,7}}=>5
[1,6,7,2,5,3,4]=>[1,7,5,3,2,6,4]=>[2,6,5,1,4,7,3]=>{{1,2,6,7},{3,5},{4}}=>5
[1,6,7,2,5,4,3]=>[1,7,4,5,2,6,3]=>[2,6,1,4,5,7,3]=>{{1,2,6,7},{3},{4},{5}}=>9
[1,6,7,3,2,4,5]=>[1,3,7,2,4,6,5]=>[2,5,3,6,1,7,4]=>{{1,2,5},{3},{4,6,7}}=>5
[1,6,7,3,2,5,4]=>[1,3,7,5,2,6,4]=>[2,6,3,1,5,7,4]=>{{1,2,6,7},{3},{4},{5}}=>9
[1,6,7,3,4,2,5]=>[1,4,7,3,2,6,5]=>[2,6,5,3,1,7,4]=>{{1,2,6,7},{3,5},{4}}=>5
[1,6,7,3,4,5,2]=>[1,5,7,3,4,6,2]=>[2,1,5,6,3,7,4]=>{{1,2},{3,5},{4,6,7}}=>5
[1,6,7,3,5,2,4]=>[1,5,7,2,3,6,4]=>[2,5,6,1,3,7,4]=>{{1,2,5},{3,6,7},{4}}=>5
[1,6,7,3,5,4,2]=>[1,4,5,7,2,6,3]=>[2,6,1,3,4,7,5]=>{{1,2,6,7},{3},{4},{5}}=>9
[1,6,7,4,2,3,5]=>[1,4,2,7,3,6,5]=>[2,4,6,3,1,7,5]=>{{1,2,4},{3,6,7},{5}}=>6
[1,6,7,4,2,5,3]=>[1,4,7,5,3,6,2]=>[2,1,6,3,5,7,4]=>{{1,2},{3,6,7},{4},{5}}=>9
[1,6,7,4,3,2,5]=>[1,3,4,7,2,6,5]=>[2,6,3,4,1,7,5]=>{{1,2,6,7},{3},{4},{5}}=>9
[1,6,7,4,3,5,2]=>[1,5,4,7,3,6,2]=>[2,1,6,4,3,7,5]=>{{1,2},{3,6,7},{4},{5}}=>9
[1,6,7,4,5,2,3]=>[1,5,2,7,4,6,3]=>[2,4,1,6,3,7,5]=>{{1,2,4,6,7},{3},{5}}=>6
[1,6,7,4,5,3,2]=>[1,3,5,7,4,6,2]=>[2,1,3,6,4,7,5]=>{{1,2},{3},{4,6,7},{5}}=>9
[1,6,7,5,2,3,4]=>[1,5,2,3,7,6,4]=>[2,4,5,1,3,7,6]=>{{1,2,4},{3,5},{6,7}}=>7
[1,6,7,5,2,4,3]=>[1,5,4,2,7,6,3]=>[2,5,1,4,3,7,6]=>{{1,2,5},{3},{4},{6,7}}=>10
[1,6,7,5,3,2,4]=>[1,3,5,2,7,6,4]=>[2,5,3,1,4,7,6]=>{{1,2,5},{3},{4},{6,7}}=>10
[1,6,7,5,3,4,2]=>[1,4,5,3,7,6,2]=>[2,1,5,3,4,7,6]=>{{1,2},{3,5},{4},{6,7}}=>10
[1,6,7,5,4,2,3]=>[1,4,2,5,7,6,3]=>[2,4,1,3,5,7,6]=>{{1,2,4},{3},{5},{6,7}}=>11
[1,6,7,5,4,3,2]=>[1,3,4,5,7,6,2]=>[2,1,3,4,5,7,6]=>{{1,2},{3},{4},{5},{6,7}}=>14
[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[2,4,5,6,7,1,3]=>{{1,2,4,6},{3,5,7}}=>2
[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>[2,4,5,7,1,6,3]=>{{1,2,4,7},{3,5},{6}}=>7
[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>[2,4,6,7,5,1,3]=>{{1,2,4,7},{3,6},{5}}=>6
[1,7,2,3,5,6,4]=>[1,7,2,6,3,5,4]=>[2,4,6,1,7,5,3]=>{{1,2,4},{3,6},{5,7}}=>6
[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>[2,4,7,6,1,5,3]=>{{1,2,4,6},{3,7},{5}}=>6
[1,7,2,3,6,5,4]=>[1,7,2,5,6,3,4]=>[2,4,7,1,5,6,3]=>{{1,2,4},{3,7},{5},{6}}=>11
[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>[2,5,6,4,7,1,3]=>{{1,2,5,7},{3,6},{4}}=>5
[1,7,2,4,3,6,5]=>[1,7,4,2,6,3,5]=>[2,5,7,4,1,6,3]=>{{1,2,5},{3,7},{4},{6}}=>10
[1,7,2,4,5,3,6]=>[1,7,5,2,4,3,6]=>[2,5,7,6,4,1,3]=>{{1,2,5},{3,7},{4,6}}=>5
[1,7,2,4,5,6,3]=>[1,7,6,2,3,4,5]=>[2,5,6,7,1,4,3]=>{{1,2,5},{3,6},{4,7}}=>5
[1,7,2,4,6,3,5]=>[1,7,6,2,4,5,3]=>[2,5,1,6,7,4,3]=>{{1,2,5,7},{3},{4,6}}=>5
[1,7,2,4,6,5,3]=>[1,7,5,2,6,4,3]=>[2,5,1,7,4,6,3]=>{{1,2,5},{3},{4,7},{6}}=>10
[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>[2,6,5,7,4,1,3]=>{{1,2,6},{3,5},{4,7}}=>5
[1,7,2,5,3,6,4]=>[1,7,5,6,2,3,4]=>[2,6,7,1,4,5,3]=>{{1,2,6},{3,7},{4},{5}}=>9
[1,7,2,5,4,3,6]=>[1,7,4,5,2,3,6]=>[2,6,7,4,5,1,3]=>{{1,2,6},{3,7},{4},{5}}=>9
[1,7,2,5,4,6,3]=>[1,7,6,5,2,4,3]=>[2,6,1,7,5,4,3]=>{{1,2,6},{3},{4,7},{5}}=>9
[1,7,2,5,6,3,4]=>[1,7,6,3,2,5,4]=>[2,6,5,1,7,4,3]=>{{1,2,6},{3,5,7},{4}}=>5
[1,7,2,5,6,4,3]=>[1,7,4,6,2,5,3]=>[2,6,1,4,7,5,3]=>{{1,2,6},{3},{4},{5,7}}=>9
[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>[2,7,5,6,1,4,3]=>{{1,2,7},{3,5},{4,6}}=>5
[1,7,2,6,3,5,4]=>[1,7,6,5,3,2,4]=>[2,7,6,1,5,4,3]=>{{1,2,7},{3,6},{4},{5}}=>9
[1,7,2,6,4,3,5]=>[1,7,4,6,3,2,5]=>[2,7,6,4,1,5,3]=>{{1,2,7},{3,6},{4},{5}}=>9
[1,7,2,6,4,5,3]=>[1,7,5,6,4,2,3]=>[2,7,1,6,4,5,3]=>{{1,2,7},{3},{4,6},{5}}=>9
[1,7,2,6,5,3,4]=>[1,7,5,3,6,2,4]=>[2,7,5,1,4,6,3]=>{{1,2,7},{3,5},{4},{6}}=>10
[1,7,2,6,5,4,3]=>[1,7,4,5,6,2,3]=>[2,7,1,4,5,6,3]=>{{1,2,7},{3},{4},{5},{6}}=>14
[1,7,3,2,4,5,6]=>[1,3,7,2,4,5,6]=>[2,5,3,6,7,1,4]=>{{1,2,5,7},{3},{4,6}}=>5
[1,7,3,2,4,6,5]=>[1,3,7,2,6,4,5]=>[2,5,3,7,1,6,4]=>{{1,2,5},{3},{4,7},{6}}=>10
[1,7,3,2,5,4,6]=>[1,3,7,5,2,4,6]=>[2,6,3,7,5,1,4]=>{{1,2,6},{3},{4,7},{5}}=>9
[1,7,3,2,5,6,4]=>[1,3,7,6,2,5,4]=>[2,6,3,1,7,5,4]=>{{1,2,6},{3},{4},{5,7}}=>9
[1,7,3,2,6,4,5]=>[1,3,7,6,4,2,5]=>[2,7,3,6,1,5,4]=>{{1,2,7},{3},{4,6},{5}}=>9
[1,7,3,2,6,5,4]=>[1,3,7,5,6,2,4]=>[2,7,3,1,5,6,4]=>{{1,2,7},{3},{4},{5},{6}}=>14
[1,7,3,4,2,5,6]=>[1,4,7,3,2,5,6]=>[2,6,5,3,7,1,4]=>{{1,2,6},{3,5,7},{4}}=>5
[1,7,3,4,2,6,5]=>[1,4,7,3,6,2,5]=>[2,7,5,3,1,6,4]=>{{1,2,7},{3,5},{4},{6}}=>10
[1,7,3,4,5,2,6]=>[1,5,7,3,4,2,6]=>[2,7,5,6,3,1,4]=>{{1,2,7},{3,5},{4,6}}=>5
[1,7,3,4,5,6,2]=>[1,6,7,3,4,5,2]=>[2,1,5,6,7,3,4]=>{{1,2},{3,5,7},{4,6}}=>5
[1,7,3,4,6,2,5]=>[1,6,7,3,2,4,5]=>[2,6,5,7,1,3,4]=>{{1,2,6},{3,5},{4,7}}=>5
[1,7,3,4,6,5,2]=>[1,5,6,3,7,2,4]=>[2,7,5,1,3,4,6]=>{{1,2,7},{3,5},{4},{6}}=>10
[1,7,3,5,2,4,6]=>[1,5,7,2,3,4,6]=>[2,5,6,7,3,1,4]=>{{1,2,5},{3,6},{4,7}}=>5
[1,7,3,5,2,6,4]=>[1,5,7,6,3,2,4]=>[2,7,6,1,3,5,4]=>{{1,2,7},{3,6},{4},{5}}=>9
[1,7,3,5,4,2,6]=>[1,4,5,7,2,3,6]=>[2,6,7,3,4,1,5]=>{{1,2,6},{3,7},{4},{5}}=>9
[1,7,3,5,4,6,2]=>[1,6,7,5,3,4,2]=>[2,1,6,7,5,3,4]=>{{1,2},{3,6},{4,7},{5}}=>9
[1,7,3,5,6,2,4]=>[1,6,7,2,4,3,5]=>[2,5,7,6,1,3,4]=>{{1,2,5},{3,7},{4,6}}=>5
[1,7,3,5,6,4,2]=>[1,4,6,7,3,2,5]=>[2,7,6,3,1,4,5]=>{{1,2,7},{3,6},{4},{5}}=>9
[1,7,3,6,2,4,5]=>[1,6,7,2,3,5,4]=>[2,5,6,1,7,3,4]=>{{1,2,5,7},{3,6},{4}}=>5
[1,7,3,6,2,5,4]=>[1,6,7,5,2,3,4]=>[2,6,7,1,5,3,4]=>{{1,2,6},{3,7},{4},{5}}=>9
[1,7,3,6,4,2,5]=>[1,4,6,7,2,5,3]=>[2,6,1,3,7,4,5]=>{{1,2,6},{3},{4},{5,7}}=>9
[1,7,3,6,4,5,2]=>[1,5,7,6,4,3,2]=>[2,1,7,6,3,5,4]=>{{1,2},{3,7},{4,6},{5}}=>9
[1,7,3,6,5,2,4]=>[1,5,6,2,7,4,3]=>[2,5,1,7,3,4,6]=>{{1,2,5},{3},{4,7},{6}}=>10
[1,7,3,6,5,4,2]=>[1,4,5,6,7,3,2]=>[2,1,7,3,4,5,6]=>{{1,2},{3,7},{4},{5},{6}}=>14
[1,7,4,2,3,5,6]=>[1,4,2,7,3,5,6]=>[2,4,6,3,7,1,5]=>{{1,2,4},{3,6},{5,7}}=>6
[1,7,4,2,3,6,5]=>[1,4,2,7,6,3,5]=>[2,4,7,3,1,6,5]=>{{1,2,4},{3,7},{5},{6}}=>11
[1,7,4,2,5,3,6]=>[1,4,7,5,3,2,6]=>[2,7,6,3,5,1,4]=>{{1,2,7},{3,6},{4},{5}}=>9
[1,7,4,2,5,6,3]=>[1,4,7,6,2,3,5]=>[2,6,7,3,1,5,4]=>{{1,2,6},{3,7},{4},{5}}=>9
[1,7,4,2,6,3,5]=>[1,4,7,6,3,5,2]=>[2,1,6,3,7,5,4]=>{{1,2},{3,6},{4},{5,7}}=>9
[1,7,4,2,6,5,3]=>[1,4,7,5,6,3,2]=>[2,1,7,3,5,6,4]=>{{1,2},{3,7},{4},{5},{6}}=>14
[1,7,4,3,2,5,6]=>[1,3,4,7,2,5,6]=>[2,6,3,4,7,1,5]=>{{1,2,6},{3},{4},{5,7}}=>9
[1,7,4,3,2,6,5]=>[1,3,4,7,6,2,5]=>[2,7,3,4,1,6,5]=>{{1,2,7},{3},{4},{5},{6}}=>14
[1,7,4,3,5,2,6]=>[1,5,4,7,3,2,6]=>[2,7,6,4,3,1,5]=>{{1,2,7},{3,6},{4},{5}}=>9
[1,7,4,3,5,6,2]=>[1,6,4,7,3,5,2]=>[2,1,6,4,7,3,5]=>{{1,2},{3,6},{4},{5,7}}=>9
[1,7,4,3,6,2,5]=>[1,6,4,7,2,3,5]=>[2,6,7,4,1,3,5]=>{{1,2,6},{3,7},{4},{5}}=>9
[1,7,4,3,6,5,2]=>[1,5,4,6,7,2,3]=>[2,7,1,4,3,5,6]=>{{1,2,7},{3},{4},{5},{6}}=>14
[1,7,4,5,2,3,6]=>[1,5,2,7,4,3,6]=>[2,4,7,6,3,1,5]=>{{1,2,4,6},{3,7},{5}}=>6
[1,7,4,5,2,6,3]=>[1,5,6,7,4,2,3]=>[2,7,1,6,3,4,5]=>{{1,2,7},{3},{4,6},{5}}=>9
[1,7,4,5,3,2,6]=>[1,3,5,7,4,2,6]=>[2,7,3,6,4,1,5]=>{{1,2,7},{3},{4,6},{5}}=>9
[1,7,4,5,3,6,2]=>[1,6,5,7,4,3,2]=>[2,1,7,6,4,3,5]=>{{1,2},{3,7},{4,6},{5}}=>9
[1,7,4,5,6,2,3]=>[1,6,2,7,4,5,3]=>[2,4,1,6,7,3,5]=>{{1,2,4,6},{3},{5,7}}=>6
[1,7,4,5,6,3,2]=>[1,3,6,7,4,5,2]=>[2,1,3,6,7,4,5]=>{{1,2},{3},{4,6},{5,7}}=>9
[1,7,4,6,2,3,5]=>[1,6,2,7,3,4,5]=>[2,4,6,7,1,3,5]=>{{1,2,4,7},{3,6},{5}}=>6
[1,7,4,6,2,5,3]=>[1,6,5,7,2,4,3]=>[2,6,1,7,4,3,5]=>{{1,2,6},{3},{4,7},{5}}=>9
[1,7,4,6,3,2,5]=>[1,3,6,7,2,4,5]=>[2,6,3,7,1,4,5]=>{{1,2,6},{3},{4,7},{5}}=>9
[1,7,4,6,3,5,2]=>[1,5,6,7,3,4,2]=>[2,1,6,7,3,4,5]=>{{1,2},{3,6},{4,7},{5}}=>9
[1,7,4,6,5,2,3]=>[1,5,2,6,7,3,4]=>[2,4,7,1,3,5,6]=>{{1,2,4},{3,7},{5},{6}}=>11
[1,7,4,6,5,3,2]=>[1,3,5,6,7,2,4]=>[2,7,3,1,4,5,6]=>{{1,2,7},{3},{4},{5},{6}}=>14
[1,7,5,2,3,4,6]=>[1,5,2,3,7,4,6]=>[2,4,5,7,3,1,6]=>{{1,2,4,7},{3,5},{6}}=>7
[1,7,5,2,3,6,4]=>[1,5,2,7,6,4,3]=>[2,4,1,7,3,6,5]=>{{1,2,4,7},{3},{5},{6}}=>11
[1,7,5,2,4,3,6]=>[1,5,4,2,7,3,6]=>[2,5,7,4,3,1,6]=>{{1,2,5},{3,7},{4},{6}}=>10
[1,7,5,2,4,6,3]=>[1,5,7,2,6,3,4]=>[2,5,7,1,3,6,4]=>{{1,2,5},{3,7},{4},{6}}=>10
[1,7,5,2,6,3,4]=>[1,5,7,3,6,4,2]=>[2,1,5,7,3,6,4]=>{{1,2},{3,5},{4,7},{6}}=>10
[1,7,5,2,6,4,3]=>[1,5,4,7,6,3,2]=>[2,1,7,4,3,6,5]=>{{1,2},{3,7},{4},{5},{6}}=>14
[1,7,5,3,2,4,6]=>[1,3,5,2,7,4,6]=>[2,5,3,7,4,1,6]=>{{1,2,5},{3},{4,7},{6}}=>10
[1,7,5,3,2,6,4]=>[1,3,5,7,6,4,2]=>[2,1,3,7,4,6,5]=>{{1,2},{3},{4,7},{5},{6}}=>14
[1,7,5,3,4,2,6]=>[1,4,5,3,7,2,6]=>[2,7,5,3,4,1,6]=>{{1,2,7},{3,5},{4},{6}}=>10
[1,7,5,3,4,6,2]=>[1,6,5,3,7,4,2]=>[2,1,5,7,4,3,6]=>{{1,2},{3,5},{4,7},{6}}=>10
[1,7,5,3,6,2,4]=>[1,6,5,2,7,3,4]=>[2,5,7,1,4,3,6]=>{{1,2,5},{3,7},{4},{6}}=>10
[1,7,5,3,6,4,2]=>[1,4,6,5,7,2,3]=>[2,7,1,3,5,4,6]=>{{1,2,7},{3},{4},{5},{6}}=>14
[1,7,5,4,2,3,6]=>[1,4,2,5,7,3,6]=>[2,4,7,3,5,1,6]=>{{1,2,4},{3,7},{5},{6}}=>11
[1,7,5,4,2,6,3]=>[1,4,5,7,6,2,3]=>[2,7,1,3,4,6,5]=>{{1,2,7},{3},{4},{5},{6}}=>14
[1,7,5,4,3,2,6]=>[1,3,4,5,7,2,6]=>[2,7,3,4,5,1,6]=>{{1,2,7},{3},{4},{5},{6}}=>14
[1,7,5,4,3,6,2]=>[1,6,4,5,7,3,2]=>[2,1,7,4,5,3,6]=>{{1,2},{3,7},{4},{5},{6}}=>14
[1,7,5,4,6,2,3]=>[1,6,2,5,7,4,3]=>[2,4,1,7,5,3,6]=>{{1,2,4,7},{3},{5},{6}}=>11
[1,7,5,4,6,3,2]=>[1,3,6,5,7,4,2]=>[2,1,3,7,5,4,6]=>{{1,2},{3},{4,7},{5},{6}}=>14
[1,7,5,6,2,3,4]=>[1,6,2,3,7,5,4]=>[2,4,5,1,7,3,6]=>{{1,2,4},{3,5,7},{6}}=>7
[1,7,5,6,2,4,3]=>[1,6,4,2,7,5,3]=>[2,5,1,4,7,3,6]=>{{1,2,5,7},{3},{4},{6}}=>10
[1,7,5,6,3,2,4]=>[1,3,6,2,7,5,4]=>[2,5,3,1,7,4,6]=>{{1,2,5,7},{3},{4},{6}}=>10
[1,7,5,6,3,4,2]=>[1,4,6,3,7,5,2]=>[2,1,5,3,7,4,6]=>{{1,2},{3,5,7},{4},{6}}=>10
[1,7,5,6,4,2,3]=>[1,4,2,6,7,5,3]=>[2,4,1,3,7,5,6]=>{{1,2,4},{3},{5,7},{6}}=>11
[1,7,5,6,4,3,2]=>[1,3,4,6,7,5,2]=>[2,1,3,4,7,5,6]=>{{1,2},{3},{4},{5,7},{6}}=>14
[1,7,6,2,3,4,5]=>[1,6,2,3,4,7,5]=>[2,4,5,6,1,3,7]=>{{1,2,4,6},{3,5},{7}}=>8
[1,7,6,2,3,5,4]=>[1,6,2,5,3,7,4]=>[2,4,6,1,5,3,7]=>{{1,2,4},{3,6},{5},{7}}=>12
[1,7,6,2,4,3,5]=>[1,6,4,2,3,7,5]=>[2,5,6,4,1,3,7]=>{{1,2,5},{3,6},{4},{7}}=>11
[1,7,6,2,4,5,3]=>[1,6,5,2,4,7,3]=>[2,5,1,6,4,3,7]=>{{1,2,5},{3},{4,6},{7}}=>11
[1,7,6,2,5,3,4]=>[1,6,5,3,2,7,4]=>[2,6,5,1,4,3,7]=>{{1,2,6},{3,5},{4},{7}}=>11
[1,7,6,2,5,4,3]=>[1,6,4,5,2,7,3]=>[2,6,1,4,5,3,7]=>{{1,2,6},{3},{4},{5},{7}}=>15
[1,7,6,3,2,4,5]=>[1,3,6,2,4,7,5]=>[2,5,3,6,1,4,7]=>{{1,2,5},{3},{4,6},{7}}=>11
[1,7,6,3,2,5,4]=>[1,3,6,5,2,7,4]=>[2,6,3,1,5,4,7]=>{{1,2,6},{3},{4},{5},{7}}=>15
[1,7,6,3,4,2,5]=>[1,4,6,3,2,7,5]=>[2,6,5,3,1,4,7]=>{{1,2,6},{3,5},{4},{7}}=>11
[1,7,6,3,4,5,2]=>[1,5,6,3,4,7,2]=>[2,1,5,6,3,4,7]=>{{1,2},{3,5},{4,6},{7}}=>11
[1,7,6,3,5,2,4]=>[1,5,6,2,3,7,4]=>[2,5,6,1,3,4,7]=>{{1,2,5},{3,6},{4},{7}}=>11
[1,7,6,3,5,4,2]=>[1,4,5,6,2,7,3]=>[2,6,1,3,4,5,7]=>{{1,2,6},{3},{4},{5},{7}}=>15
[1,7,6,4,2,3,5]=>[1,4,2,6,3,7,5]=>[2,4,6,3,1,5,7]=>{{1,2,4},{3,6},{5},{7}}=>12
[1,7,6,4,2,5,3]=>[1,4,6,5,3,7,2]=>[2,1,6,3,5,4,7]=>{{1,2},{3,6},{4},{5},{7}}=>15
[1,7,6,4,3,2,5]=>[1,3,4,6,2,7,5]=>[2,6,3,4,1,5,7]=>{{1,2,6},{3},{4},{5},{7}}=>15
[1,7,6,4,3,5,2]=>[1,5,4,6,3,7,2]=>[2,1,6,4,3,5,7]=>{{1,2},{3,6},{4},{5},{7}}=>15
[1,7,6,4,5,2,3]=>[1,5,2,6,4,7,3]=>[2,4,1,6,3,5,7]=>{{1,2,4,6},{3},{5},{7}}=>12
[1,7,6,4,5,3,2]=>[1,3,5,6,4,7,2]=>[2,1,3,6,4,5,7]=>{{1,2},{3},{4,6},{5},{7}}=>15
[1,7,6,5,2,3,4]=>[1,5,2,3,6,7,4]=>[2,4,5,1,3,6,7]=>{{1,2,4},{3,5},{6},{7}}=>13
[1,7,6,5,2,4,3]=>[1,5,4,2,6,7,3]=>[2,5,1,4,3,6,7]=>{{1,2,5},{3},{4},{6},{7}}=>16
[1,7,6,5,3,2,4]=>[1,3,5,2,6,7,4]=>[2,5,3,1,4,6,7]=>{{1,2,5},{3},{4},{6},{7}}=>16
[1,7,6,5,3,4,2]=>[1,4,5,3,6,7,2]=>[2,1,5,3,4,6,7]=>{{1,2},{3,5},{4},{6},{7}}=>16
[1,7,6,5,4,2,3]=>[1,4,2,5,6,7,3]=>[2,4,1,3,5,6,7]=>{{1,2,4},{3},{5},{6},{7}}=>17
[1,7,6,5,4,3,2]=>[1,3,4,5,6,7,2]=>[2,1,3,4,5,6,7]=>{{1,2},{3},{4},{5},{6},{7}}=>20
[2,1,3,4,5,6,7]=>[2,1,3,4,5,6,7]=>[3,2,4,5,6,7,1]=>{{1,3,4,5,6,7},{2}}=>1
[2,1,3,4,5,7,6]=>[2,1,3,4,5,7,6]=>[3,2,4,5,6,1,7]=>{{1,3,4,5,6},{2},{7}}=>7
[2,1,3,4,6,5,7]=>[2,1,3,4,6,5,7]=>[3,2,4,5,7,6,1]=>{{1,3,4,5,7},{2},{6}}=>6
[2,1,3,4,6,7,5]=>[2,1,3,4,7,6,5]=>[3,2,4,5,1,7,6]=>{{1,3,4,5},{2},{6,7}}=>6
[2,1,3,4,7,5,6]=>[2,1,3,4,7,5,6]=>[3,2,4,5,7,1,6]=>{{1,3,4,5,7},{2},{6}}=>6
[2,1,3,4,7,6,5]=>[2,1,3,4,6,7,5]=>[3,2,4,5,1,6,7]=>{{1,3,4,5},{2},{6},{7}}=>12
[2,1,3,5,4,6,7]=>[2,1,3,5,4,6,7]=>[3,2,4,6,5,7,1]=>{{1,3,4,6,7},{2},{5}}=>5
[2,1,3,5,4,7,6]=>[2,1,3,5,4,7,6]=>[3,2,4,6,5,1,7]=>{{1,3,4,6},{2},{5},{7}}=>11
[2,1,3,5,6,4,7]=>[2,1,3,6,5,4,7]=>[3,2,4,7,6,5,1]=>{{1,3,4,7},{2},{5,6}}=>5
[2,1,3,5,6,7,4]=>[2,1,3,7,5,6,4]=>[3,2,4,1,6,7,5]=>{{1,3,4},{2},{5,6,7}}=>5
[2,1,3,5,7,4,6]=>[2,1,3,7,5,4,6]=>[3,2,4,7,6,1,5]=>{{1,3,4,7},{2},{5,6}}=>5
[2,1,3,5,7,6,4]=>[2,1,3,6,5,7,4]=>[3,2,4,1,6,5,7]=>{{1,3,4},{2},{5,6},{7}}=>11
[2,1,3,6,4,5,7]=>[2,1,3,6,4,5,7]=>[3,2,4,6,7,5,1]=>{{1,3,4,6},{2},{5,7}}=>5
[2,1,3,6,4,7,5]=>[2,1,3,6,7,4,5]=>[3,2,4,7,1,5,6]=>{{1,3,4,7},{2},{5},{6}}=>10
[2,1,3,6,5,4,7]=>[2,1,3,5,6,4,7]=>[3,2,4,7,5,6,1]=>{{1,3,4,7},{2},{5},{6}}=>10
[2,1,3,6,5,7,4]=>[2,1,3,7,6,5,4]=>[3,2,4,1,7,6,5]=>{{1,3,4},{2},{5,7},{6}}=>10
[2,1,3,6,7,4,5]=>[2,1,3,7,4,6,5]=>[3,2,4,6,1,7,5]=>{{1,3,4,6,7},{2},{5}}=>5
[2,1,3,6,7,5,4]=>[2,1,3,5,7,6,4]=>[3,2,4,1,5,7,6]=>{{1,3,4},{2},{5},{6,7}}=>10
[2,1,3,7,4,5,6]=>[2,1,3,7,4,5,6]=>[3,2,4,6,7,1,5]=>{{1,3,4,6},{2},{5,7}}=>5
[2,1,3,7,4,6,5]=>[2,1,3,7,6,4,5]=>[3,2,4,7,1,6,5]=>{{1,3,4,7},{2},{5},{6}}=>10
[2,1,3,7,5,4,6]=>[2,1,3,5,7,4,6]=>[3,2,4,7,5,1,6]=>{{1,3,4,7},{2},{5},{6}}=>10
[2,1,3,7,5,6,4]=>[2,1,3,6,7,5,4]=>[3,2,4,1,7,5,6]=>{{1,3,4},{2},{5,7},{6}}=>10
[2,1,3,7,6,4,5]=>[2,1,3,6,4,7,5]=>[3,2,4,6,1,5,7]=>{{1,3,4,6},{2},{5},{7}}=>11
[2,1,3,7,6,5,4]=>[2,1,3,5,6,7,4]=>[3,2,4,1,5,6,7]=>{{1,3,4},{2},{5},{6},{7}}=>16
[2,1,4,3,5,6,7]=>[2,1,4,3,5,6,7]=>[3,2,5,4,6,7,1]=>{{1,3,5,6,7},{2},{4}}=>4
[2,1,4,3,5,7,6]=>[2,1,4,3,5,7,6]=>[3,2,5,4,6,1,7]=>{{1,3,5,6},{2},{4},{7}}=>10
[2,1,4,3,6,5,7]=>[2,1,4,3,6,5,7]=>[3,2,5,4,7,6,1]=>{{1,3,5,7},{2},{4},{6}}=>9
[2,1,4,3,6,7,5]=>[2,1,4,3,7,6,5]=>[3,2,5,4,1,7,6]=>{{1,3,5},{2},{4},{6,7}}=>9
[2,1,4,3,7,5,6]=>[2,1,4,3,7,5,6]=>[3,2,5,4,7,1,6]=>{{1,3,5,7},{2},{4},{6}}=>9
[2,1,4,3,7,6,5]=>[2,1,4,3,6,7,5]=>[3,2,5,4,1,6,7]=>{{1,3,5},{2},{4},{6},{7}}=>15
[2,1,4,5,3,6,7]=>[2,1,5,4,3,6,7]=>[3,2,6,5,4,7,1]=>{{1,3,6,7},{2},{4,5}}=>4
[2,1,4,5,3,7,6]=>[2,1,5,4,3,7,6]=>[3,2,6,5,4,1,7]=>{{1,3,6},{2},{4,5},{7}}=>10
[2,1,4,5,6,3,7]=>[2,1,6,4,5,3,7]=>[3,2,7,5,6,4,1]=>{{1,3,7},{2},{4,5,6}}=>4
[2,1,4,5,6,7,3]=>[2,1,7,4,5,6,3]=>[3,2,1,5,6,7,4]=>{{1,3},{2},{4,5,6,7}}=>4
[2,1,4,5,7,3,6]=>[2,1,7,4,5,3,6]=>[3,2,7,5,6,1,4]=>{{1,3,7},{2},{4,5,6}}=>4
[2,1,4,5,7,6,3]=>[2,1,6,4,5,7,3]=>[3,2,1,5,6,4,7]=>{{1,3},{2},{4,5,6},{7}}=>10
[2,1,4,6,3,5,7]=>[2,1,6,4,3,5,7]=>[3,2,6,5,7,4,1]=>{{1,3,6},{2},{4,5,7}}=>4
[2,1,4,6,3,7,5]=>[2,1,6,4,7,3,5]=>[3,2,7,5,1,4,6]=>{{1,3,7},{2},{4,5},{6}}=>9
[2,1,4,6,5,3,7]=>[2,1,5,4,6,3,7]=>[3,2,7,5,4,6,1]=>{{1,3,7},{2},{4,5},{6}}=>9
[2,1,4,6,5,7,3]=>[2,1,7,4,6,5,3]=>[3,2,1,5,7,6,4]=>{{1,3},{2},{4,5,7},{6}}=>9
[2,1,4,6,7,3,5]=>[2,1,7,4,3,6,5]=>[3,2,6,5,1,7,4]=>{{1,3,6,7},{2},{4,5}}=>4
[2,1,4,6,7,5,3]=>[2,1,5,4,7,6,3]=>[3,2,1,5,4,7,6]=>{{1,3},{2},{4,5},{6,7}}=>9
[2,1,4,7,3,5,6]=>[2,1,7,4,3,5,6]=>[3,2,6,5,7,1,4]=>{{1,3,6},{2},{4,5,7}}=>4
[2,1,4,7,3,6,5]=>[2,1,7,4,6,3,5]=>[3,2,7,5,1,6,4]=>{{1,3,7},{2},{4,5},{6}}=>9
[2,1,4,7,5,3,6]=>[2,1,5,4,7,3,6]=>[3,2,7,5,4,1,6]=>{{1,3,7},{2},{4,5},{6}}=>9
[2,1,4,7,5,6,3]=>[2,1,6,4,7,5,3]=>[3,2,1,5,7,4,6]=>{{1,3},{2},{4,5,7},{6}}=>9
[2,1,4,7,6,3,5]=>[2,1,6,4,3,7,5]=>[3,2,6,5,1,4,7]=>{{1,3,6},{2},{4,5},{7}}=>10
[2,1,4,7,6,5,3]=>[2,1,5,4,6,7,3]=>[3,2,1,5,4,6,7]=>{{1,3},{2},{4,5},{6},{7}}=>15
[2,1,5,3,4,6,7]=>[2,1,5,3,4,6,7]=>[3,2,5,6,4,7,1]=>{{1,3,5},{2},{4,6,7}}=>4
[2,1,5,3,4,7,6]=>[2,1,5,3,4,7,6]=>[3,2,5,6,4,1,7]=>{{1,3,5},{2},{4,6},{7}}=>10
[2,1,5,3,6,4,7]=>[2,1,5,6,3,4,7]=>[3,2,6,7,4,5,1]=>{{1,3,6},{2},{4,7},{5}}=>8
[2,1,5,3,6,7,4]=>[2,1,5,7,3,6,4]=>[3,2,6,1,4,7,5]=>{{1,3,6,7},{2},{4},{5}}=>8
[2,1,5,3,7,4,6]=>[2,1,5,7,3,4,6]=>[3,2,6,7,4,1,5]=>{{1,3,6},{2},{4,7},{5}}=>8
[2,1,5,3,7,6,4]=>[2,1,5,6,3,7,4]=>[3,2,6,1,4,5,7]=>{{1,3,6},{2},{4},{5},{7}}=>14
[2,1,5,4,3,6,7]=>[2,1,4,5,3,6,7]=>[3,2,6,4,5,7,1]=>{{1,3,6,7},{2},{4},{5}}=>8
[2,1,5,4,3,7,6]=>[2,1,4,5,3,7,6]=>[3,2,6,4,5,1,7]=>{{1,3,6},{2},{4},{5},{7}}=>14
[2,1,5,4,6,3,7]=>[2,1,6,5,4,3,7]=>[3,2,7,6,5,4,1]=>{{1,3,7},{2},{4,6},{5}}=>8
[2,1,5,4,6,7,3]=>[2,1,7,5,4,6,3]=>[3,2,1,6,5,7,4]=>{{1,3},{2},{4,6,7},{5}}=>8
[2,1,5,4,7,3,6]=>[2,1,7,5,4,3,6]=>[3,2,7,6,5,1,4]=>{{1,3,7},{2},{4,6},{5}}=>8
[2,1,5,4,7,6,3]=>[2,1,6,5,4,7,3]=>[3,2,1,6,5,4,7]=>{{1,3},{2},{4,6},{5},{7}}=>14
[2,1,5,6,3,4,7]=>[2,1,6,3,5,4,7]=>[3,2,5,7,6,4,1]=>{{1,3,5,6},{2},{4,7}}=>4
[2,1,5,6,3,7,4]=>[2,1,6,7,5,3,4]=>[3,2,7,1,6,4,5]=>{{1,3,7},{2},{4},{5,6}}=>8
[2,1,5,6,4,3,7]=>[2,1,4,6,5,3,7]=>[3,2,7,4,6,5,1]=>{{1,3,7},{2},{4},{5,6}}=>8
[2,1,5,6,4,7,3]=>[2,1,7,6,5,4,3]=>[3,2,1,7,6,5,4]=>{{1,3},{2},{4,7},{5,6}}=>8
[2,1,5,6,7,3,4]=>[2,1,7,3,5,6,4]=>[3,2,5,1,6,7,4]=>{{1,3,5,6,7},{2},{4}}=>4
[2,1,5,6,7,4,3]=>[2,1,4,7,5,6,3]=>[3,2,1,4,6,7,5]=>{{1,3},{2},{4},{5,6,7}}=>8
[2,1,5,7,3,4,6]=>[2,1,7,3,5,4,6]=>[3,2,5,7,6,1,4]=>{{1,3,5,6},{2},{4,7}}=>4
[2,1,5,7,3,6,4]=>[2,1,7,6,5,3,4]=>[3,2,7,1,6,5,4]=>{{1,3,7},{2},{4},{5,6}}=>8
[2,1,5,7,4,3,6]=>[2,1,4,7,5,3,6]=>[3,2,7,4,6,1,5]=>{{1,3,7},{2},{4},{5,6}}=>8
[2,1,5,7,4,6,3]=>[2,1,6,7,5,4,3]=>[3,2,1,7,6,4,5]=>{{1,3},{2},{4,7},{5,6}}=>8
[2,1,5,7,6,3,4]=>[2,1,6,3,5,7,4]=>[3,2,5,1,6,4,7]=>{{1,3,5,6},{2},{4},{7}}=>10
[2,1,5,7,6,4,3]=>[2,1,4,6,5,7,3]=>[3,2,1,4,6,5,7]=>{{1,3},{2},{4},{5,6},{7}}=>14
[2,1,6,3,4,5,7]=>[2,1,6,3,4,5,7]=>[3,2,5,6,7,4,1]=>{{1,3,5,7},{2},{4,6}}=>4
[2,1,6,3,4,7,5]=>[2,1,6,3,7,4,5]=>[3,2,5,7,1,4,6]=>{{1,3,5},{2},{4,7},{6}}=>9
[2,1,6,3,5,4,7]=>[2,1,6,5,3,4,7]=>[3,2,6,7,5,4,1]=>{{1,3,6},{2},{4,7},{5}}=>8
[2,1,6,3,5,7,4]=>[2,1,6,7,3,5,4]=>[3,2,6,1,7,4,5]=>{{1,3,6},{2},{4},{5,7}}=>8
[2,1,6,3,7,4,5]=>[2,1,6,7,4,3,5]=>[3,2,7,6,1,4,5]=>{{1,3,7},{2},{4,6},{5}}=>8
[2,1,6,3,7,5,4]=>[2,1,6,5,7,3,4]=>[3,2,7,1,5,4,6]=>{{1,3,7},{2},{4},{5},{6}}=>13
[2,1,6,4,3,5,7]=>[2,1,4,6,3,5,7]=>[3,2,6,4,7,5,1]=>{{1,3,6},{2},{4},{5,7}}=>8
[2,1,6,4,3,7,5]=>[2,1,4,6,7,3,5]=>[3,2,7,4,1,5,6]=>{{1,3,7},{2},{4},{5},{6}}=>13
[2,1,6,4,5,3,7]=>[2,1,5,6,4,3,7]=>[3,2,7,6,4,5,1]=>{{1,3,7},{2},{4,6},{5}}=>8
[2,1,6,4,5,7,3]=>[2,1,7,6,4,5,3]=>[3,2,1,6,7,5,4]=>{{1,3},{2},{4,6},{5,7}}=>8
[2,1,6,4,7,3,5]=>[2,1,7,6,3,4,5]=>[3,2,6,7,1,5,4]=>{{1,3,6},{2},{4,7},{5}}=>8
[2,1,6,4,7,5,3]=>[2,1,5,7,6,3,4]=>[3,2,7,1,4,6,5]=>{{1,3,7},{2},{4},{5},{6}}=>13
[2,1,6,5,3,4,7]=>[2,1,5,3,6,4,7]=>[3,2,5,7,4,6,1]=>{{1,3,5},{2},{4,7},{6}}=>9
[2,1,6,5,3,7,4]=>[2,1,5,6,7,4,3]=>[3,2,1,7,4,5,6]=>{{1,3},{2},{4,7},{5},{6}}=>13
[2,1,6,5,4,3,7]=>[2,1,4,5,6,3,7]=>[3,2,7,4,5,6,1]=>{{1,3,7},{2},{4},{5},{6}}=>13
[2,1,6,5,4,7,3]=>[2,1,7,5,6,4,3]=>[3,2,1,7,5,6,4]=>{{1,3},{2},{4,7},{5},{6}}=>13
[2,1,6,5,7,3,4]=>[2,1,7,3,6,5,4]=>[3,2,5,1,7,6,4]=>{{1,3,5,7},{2},{4},{6}}=>9
[2,1,6,5,7,4,3]=>[2,1,4,7,6,5,3]=>[3,2,1,4,7,6,5]=>{{1,3},{2},{4},{5,7},{6}}=>13
[2,1,6,7,3,4,5]=>[2,1,7,3,4,6,5]=>[3,2,5,6,1,7,4]=>{{1,3,5},{2},{4,6,7}}=>4
[2,1,6,7,3,5,4]=>[2,1,7,5,3,6,4]=>[3,2,6,1,5,7,4]=>{{1,3,6,7},{2},{4},{5}}=>8
[2,1,6,7,4,3,5]=>[2,1,4,7,3,6,5]=>[3,2,6,4,1,7,5]=>{{1,3,6,7},{2},{4},{5}}=>8
[2,1,6,7,4,5,3]=>[2,1,5,7,4,6,3]=>[3,2,1,6,4,7,5]=>{{1,3},{2},{4,6,7},{5}}=>8
[2,1,6,7,5,3,4]=>[2,1,5,3,7,6,4]=>[3,2,5,1,4,7,6]=>{{1,3,5},{2},{4},{6,7}}=>9
[2,1,6,7,5,4,3]=>[2,1,4,5,7,6,3]=>[3,2,1,4,5,7,6]=>{{1,3},{2},{4},{5},{6,7}}=>13
[2,1,7,3,4,5,6]=>[2,1,7,3,4,5,6]=>[3,2,5,6,7,1,4]=>{{1,3,5,7},{2},{4,6}}=>4
[2,1,7,3,4,6,5]=>[2,1,7,3,6,4,5]=>[3,2,5,7,1,6,4]=>{{1,3,5},{2},{4,7},{6}}=>9
[2,1,7,3,5,4,6]=>[2,1,7,5,3,4,6]=>[3,2,6,7,5,1,4]=>{{1,3,6},{2},{4,7},{5}}=>8
[2,1,7,3,5,6,4]=>[2,1,7,6,3,5,4]=>[3,2,6,1,7,5,4]=>{{1,3,6},{2},{4},{5,7}}=>8
[2,1,7,3,6,4,5]=>[2,1,7,6,4,3,5]=>[3,2,7,6,1,5,4]=>{{1,3,7},{2},{4,6},{5}}=>8
[2,1,7,3,6,5,4]=>[2,1,7,5,6,3,4]=>[3,2,7,1,5,6,4]=>{{1,3,7},{2},{4},{5},{6}}=>13
[2,1,7,4,3,5,6]=>[2,1,4,7,3,5,6]=>[3,2,6,4,7,1,5]=>{{1,3,6},{2},{4},{5,7}}=>8
[2,1,7,4,3,6,5]=>[2,1,4,7,6,3,5]=>[3,2,7,4,1,6,5]=>{{1,3,7},{2},{4},{5},{6}}=>13
[2,1,7,4,5,3,6]=>[2,1,5,7,4,3,6]=>[3,2,7,6,4,1,5]=>{{1,3,7},{2},{4,6},{5}}=>8
[2,1,7,4,5,6,3]=>[2,1,6,7,4,5,3]=>[3,2,1,6,7,4,5]=>{{1,3},{2},{4,6},{5,7}}=>8
[2,1,7,4,6,3,5]=>[2,1,6,7,3,4,5]=>[3,2,6,7,1,4,5]=>{{1,3,6},{2},{4,7},{5}}=>8
[2,1,7,4,6,5,3]=>[2,1,5,6,7,3,4]=>[3,2,7,1,4,5,6]=>{{1,3,7},{2},{4},{5},{6}}=>13
[2,1,7,5,3,4,6]=>[2,1,5,3,7,4,6]=>[3,2,5,7,4,1,6]=>{{1,3,5},{2},{4,7},{6}}=>9
[2,1,7,5,3,6,4]=>[2,1,5,7,6,4,3]=>[3,2,1,7,4,6,5]=>{{1,3},{2},{4,7},{5},{6}}=>13
[2,1,7,5,4,3,6]=>[2,1,4,5,7,3,6]=>[3,2,7,4,5,1,6]=>{{1,3,7},{2},{4},{5},{6}}=>13
[2,1,7,5,4,6,3]=>[2,1,6,5,7,4,3]=>[3,2,1,7,5,4,6]=>{{1,3},{2},{4,7},{5},{6}}=>13
[2,1,7,5,6,3,4]=>[2,1,6,3,7,5,4]=>[3,2,5,1,7,4,6]=>{{1,3,5,7},{2},{4},{6}}=>9
[2,1,7,5,6,4,3]=>[2,1,4,6,7,5,3]=>[3,2,1,4,7,5,6]=>{{1,3},{2},{4},{5,7},{6}}=>13
[2,1,7,6,3,4,5]=>[2,1,6,3,4,7,5]=>[3,2,5,6,1,4,7]=>{{1,3,5},{2},{4,6},{7}}=>10
[2,1,7,6,3,5,4]=>[2,1,6,5,3,7,4]=>[3,2,6,1,5,4,7]=>{{1,3,6},{2},{4},{5},{7}}=>14
[2,1,7,6,4,3,5]=>[2,1,4,6,3,7,5]=>[3,2,6,4,1,5,7]=>{{1,3,6},{2},{4},{5},{7}}=>14
[2,1,7,6,4,5,3]=>[2,1,5,6,4,7,3]=>[3,2,1,6,4,5,7]=>{{1,3},{2},{4,6},{5},{7}}=>14
[2,1,7,6,5,3,4]=>[2,1,5,3,6,7,4]=>[3,2,5,1,4,6,7]=>{{1,3,5},{2},{4},{6},{7}}=>15
[2,1,7,6,5,4,3]=>[2,1,4,5,6,7,3]=>[3,2,1,4,5,6,7]=>{{1,3},{2},{4},{5},{6},{7}}=>19
[2,3,1,4,5,6,7]=>[3,2,1,4,5,6,7]=>[4,3,2,5,6,7,1]=>{{1,4,5,6,7},{2,3}}=>1
[2,3,1,4,5,7,6]=>[3,2,1,4,5,7,6]=>[4,3,2,5,6,1,7]=>{{1,4,5,6},{2,3},{7}}=>7
[2,3,1,4,6,5,7]=>[3,2,1,4,6,5,7]=>[4,3,2,5,7,6,1]=>{{1,4,5,7},{2,3},{6}}=>6
[2,3,1,4,6,7,5]=>[3,2,1,4,7,6,5]=>[4,3,2,5,1,7,6]=>{{1,4,5},{2,3},{6,7}}=>6
[2,3,1,4,7,5,6]=>[3,2,1,4,7,5,6]=>[4,3,2,5,7,1,6]=>{{1,4,5,7},{2,3},{6}}=>6
[2,3,1,4,7,6,5]=>[3,2,1,4,6,7,5]=>[4,3,2,5,1,6,7]=>{{1,4,5},{2,3},{6},{7}}=>12
[2,3,1,5,4,6,7]=>[3,2,1,5,4,6,7]=>[4,3,2,6,5,7,1]=>{{1,4,6,7},{2,3},{5}}=>5
[2,3,1,5,4,7,6]=>[3,2,1,5,4,7,6]=>[4,3,2,6,5,1,7]=>{{1,4,6},{2,3},{5},{7}}=>11
[2,3,1,5,6,4,7]=>[3,2,1,6,5,4,7]=>[4,3,2,7,6,5,1]=>{{1,4,7},{2,3},{5,6}}=>5
[2,3,1,5,6,7,4]=>[3,2,1,7,5,6,4]=>[4,3,2,1,6,7,5]=>{{1,4},{2,3},{5,6,7}}=>5
[2,3,1,5,7,4,6]=>[3,2,1,7,5,4,6]=>[4,3,2,7,6,1,5]=>{{1,4,7},{2,3},{5,6}}=>5
[2,3,1,5,7,6,4]=>[3,2,1,6,5,7,4]=>[4,3,2,1,6,5,7]=>{{1,4},{2,3},{5,6},{7}}=>11
[2,3,1,6,4,5,7]=>[3,2,1,6,4,5,7]=>[4,3,2,6,7,5,1]=>{{1,4,6},{2,3},{5,7}}=>5
[2,3,1,6,4,7,5]=>[3,2,1,6,7,4,5]=>[4,3,2,7,1,5,6]=>{{1,4,7},{2,3},{5},{6}}=>10
[2,3,1,6,5,4,7]=>[3,2,1,5,6,4,7]=>[4,3,2,7,5,6,1]=>{{1,4,7},{2,3},{5},{6}}=>10
[2,3,1,6,5,7,4]=>[3,2,1,7,6,5,4]=>[4,3,2,1,7,6,5]=>{{1,4},{2,3},{5,7},{6}}=>10
[2,3,1,6,7,4,5]=>[3,2,1,7,4,6,5]=>[4,3,2,6,1,7,5]=>{{1,4,6,7},{2,3},{5}}=>5
[2,3,1,6,7,5,4]=>[3,2,1,5,7,6,4]=>[4,3,2,1,5,7,6]=>{{1,4},{2,3},{5},{6,7}}=>10
[2,3,1,7,4,5,6]=>[3,2,1,7,4,5,6]=>[4,3,2,6,7,1,5]=>{{1,4,6},{2,3},{5,7}}=>5
[2,3,1,7,4,6,5]=>[3,2,1,7,6,4,5]=>[4,3,2,7,1,6,5]=>{{1,4,7},{2,3},{5},{6}}=>10
[2,3,1,7,5,4,6]=>[3,2,1,5,7,4,6]=>[4,3,2,7,5,1,6]=>{{1,4,7},{2,3},{5},{6}}=>10
[2,3,1,7,5,6,4]=>[3,2,1,6,7,5,4]=>[4,3,2,1,7,5,6]=>{{1,4},{2,3},{5,7},{6}}=>10
[2,3,1,7,6,4,5]=>[3,2,1,6,4,7,5]=>[4,3,2,6,1,5,7]=>{{1,4,6},{2,3},{5},{7}}=>11
[2,3,1,7,6,5,4]=>[3,2,1,5,6,7,4]=>[4,3,2,1,5,6,7]=>{{1,4},{2,3},{5},{6},{7}}=>16
[2,3,4,1,5,6,7]=>[4,2,3,1,5,6,7]=>[5,3,4,2,6,7,1]=>{{1,5,6,7},{2,3,4}}=>1
[2,3,4,1,5,7,6]=>[4,2,3,1,5,7,6]=>[5,3,4,2,6,1,7]=>{{1,5,6},{2,3,4},{7}}=>7
[2,3,4,1,6,5,7]=>[4,2,3,1,6,5,7]=>[5,3,4,2,7,6,1]=>{{1,5,7},{2,3,4},{6}}=>6
[2,3,4,1,6,7,5]=>[4,2,3,1,7,6,5]=>[5,3,4,2,1,7,6]=>{{1,5},{2,3,4},{6,7}}=>6
[2,3,4,1,7,5,6]=>[4,2,3,1,7,5,6]=>[5,3,4,2,7,1,6]=>{{1,5,7},{2,3,4},{6}}=>6
[2,3,4,1,7,6,5]=>[4,2,3,1,6,7,5]=>[5,3,4,2,1,6,7]=>{{1,5},{2,3,4},{6},{7}}=>12
[2,3,4,5,1,6,7]=>[5,2,3,4,1,6,7]=>[6,3,4,5,2,7,1]=>{{1,6,7},{2,3,4,5}}=>1
[2,3,4,5,1,7,6]=>[5,2,3,4,1,7,6]=>[6,3,4,5,2,1,7]=>{{1,6},{2,3,4,5},{7}}=>7
[2,3,4,5,6,1,7]=>[6,2,3,4,5,1,7]=>[7,3,4,5,6,2,1]=>{{1,7},{2,3,4,5,6}}=>1
[2,3,4,5,6,7,1]=>[7,2,3,4,5,6,1]=>[1,3,4,5,6,7,2]=>{{1},{2,3,4,5,6,7}}=>1
[2,3,4,5,7,1,6]=>[7,2,3,4,5,1,6]=>[7,3,4,5,6,1,2]=>{{1,7},{2,3,4,5,6}}=>1
[2,3,4,5,7,6,1]=>[6,2,3,4,5,7,1]=>[1,3,4,5,6,2,7]=>{{1},{2,3,4,5,6},{7}}=>7
[2,3,4,6,1,5,7]=>[6,2,3,4,1,5,7]=>[6,3,4,5,7,2,1]=>{{1,6},{2,3,4,5,7}}=>1
[2,3,4,6,1,7,5]=>[6,2,3,4,7,1,5]=>[7,3,4,5,1,2,6]=>{{1,7},{2,3,4,5},{6}}=>6
[2,3,4,6,5,1,7]=>[5,2,3,4,6,1,7]=>[7,3,4,5,2,6,1]=>{{1,7},{2,3,4,5},{6}}=>6
[2,3,4,6,5,7,1]=>[7,2,3,4,6,5,1]=>[1,3,4,5,7,6,2]=>{{1},{2,3,4,5,7},{6}}=>6
[2,3,4,6,7,1,5]=>[7,2,3,4,1,6,5]=>[6,3,4,5,1,7,2]=>{{1,6,7},{2,3,4,5}}=>1
[2,3,4,6,7,5,1]=>[5,2,3,4,7,6,1]=>[1,3,4,5,2,7,6]=>{{1},{2,3,4,5},{6,7}}=>6
[2,3,4,7,1,5,6]=>[7,2,3,4,1,5,6]=>[6,3,4,5,7,1,2]=>{{1,6},{2,3,4,5,7}}=>1
[2,3,4,7,1,6,5]=>[7,2,3,4,6,1,5]=>[7,3,4,5,1,6,2]=>{{1,7},{2,3,4,5},{6}}=>6
[2,3,4,7,5,1,6]=>[5,2,3,4,7,1,6]=>[7,3,4,5,2,1,6]=>{{1,7},{2,3,4,5},{6}}=>6
[2,3,4,7,5,6,1]=>[6,2,3,4,7,5,1]=>[1,3,4,5,7,2,6]=>{{1},{2,3,4,5,7},{6}}=>6
[2,3,4,7,6,1,5]=>[6,2,3,4,1,7,5]=>[6,3,4,5,1,2,7]=>{{1,6},{2,3,4,5},{7}}=>7
[2,3,4,7,6,5,1]=>[5,2,3,4,6,7,1]=>[1,3,4,5,2,6,7]=>{{1},{2,3,4,5},{6},{7}}=>12
[2,3,5,1,4,6,7]=>[5,2,3,1,4,6,7]=>[5,3,4,6,2,7,1]=>{{1,5},{2,3,4,6,7}}=>1
[2,3,5,1,4,7,6]=>[5,2,3,1,4,7,6]=>[5,3,4,6,2,1,7]=>{{1,5},{2,3,4,6},{7}}=>7
[2,3,5,1,6,4,7]=>[5,2,3,6,1,4,7]=>[6,3,4,7,2,5,1]=>{{1,6},{2,3,4,7},{5}}=>5
[2,3,5,1,6,7,4]=>[5,2,3,7,1,6,4]=>[6,3,4,1,2,7,5]=>{{1,6,7},{2,3,4},{5}}=>5
[2,3,5,1,7,4,6]=>[5,2,3,7,1,4,6]=>[6,3,4,7,2,1,5]=>{{1,6},{2,3,4,7},{5}}=>5
[2,3,5,1,7,6,4]=>[5,2,3,6,1,7,4]=>[6,3,4,1,2,5,7]=>{{1,6},{2,3,4},{5},{7}}=>11
[2,3,5,4,1,6,7]=>[4,2,3,5,1,6,7]=>[6,3,4,2,5,7,1]=>{{1,6,7},{2,3,4},{5}}=>5
[2,3,5,4,1,7,6]=>[4,2,3,5,1,7,6]=>[6,3,4,2,5,1,7]=>{{1,6},{2,3,4},{5},{7}}=>11
[2,3,5,4,6,1,7]=>[6,2,3,5,4,1,7]=>[7,3,4,6,5,2,1]=>{{1,7},{2,3,4,6},{5}}=>5
[2,3,5,4,6,7,1]=>[7,2,3,5,4,6,1]=>[1,3,4,6,5,7,2]=>{{1},{2,3,4,6,7},{5}}=>5
[2,3,5,4,7,1,6]=>[7,2,3,5,4,1,6]=>[7,3,4,6,5,1,2]=>{{1,7},{2,3,4,6},{5}}=>5
[2,3,5,4,7,6,1]=>[6,2,3,5,4,7,1]=>[1,3,4,6,5,2,7]=>{{1},{2,3,4,6},{5},{7}}=>11
[2,3,5,6,1,4,7]=>[6,2,3,1,5,4,7]=>[5,3,4,7,6,2,1]=>{{1,5,6},{2,3,4,7}}=>1
[2,3,5,6,1,7,4]=>[6,2,3,7,5,1,4]=>[7,3,4,1,6,2,5]=>{{1,7},{2,3,4},{5,6}}=>5
[2,3,5,6,4,1,7]=>[4,2,3,6,5,1,7]=>[7,3,4,2,6,5,1]=>{{1,7},{2,3,4},{5,6}}=>5
[2,3,5,6,4,7,1]=>[7,2,3,6,5,4,1]=>[1,3,4,7,6,5,2]=>{{1},{2,3,4,7},{5,6}}=>5
[2,3,5,6,7,1,4]=>[7,2,3,1,5,6,4]=>[5,3,4,1,6,7,2]=>{{1,5,6,7},{2,3,4}}=>1
[2,3,5,6,7,4,1]=>[4,2,3,7,5,6,1]=>[1,3,4,2,6,7,5]=>{{1},{2,3,4},{5,6,7}}=>5
[2,3,5,7,1,4,6]=>[7,2,3,1,5,4,6]=>[5,3,4,7,6,1,2]=>{{1,5,6},{2,3,4,7}}=>1
[2,3,5,7,1,6,4]=>[7,2,3,6,5,1,4]=>[7,3,4,1,6,5,2]=>{{1,7},{2,3,4},{5,6}}=>5
[2,3,5,7,4,1,6]=>[4,2,3,7,5,1,6]=>[7,3,4,2,6,1,5]=>{{1,7},{2,3,4},{5,6}}=>5
[2,3,5,7,4,6,1]=>[6,2,3,7,5,4,1]=>[1,3,4,7,6,2,5]=>{{1},{2,3,4,7},{5,6}}=>5
[2,3,5,7,6,1,4]=>[6,2,3,1,5,7,4]=>[5,3,4,1,6,2,7]=>{{1,5,6},{2,3,4},{7}}=>7
[2,3,5,7,6,4,1]=>[4,2,3,6,5,7,1]=>[1,3,4,2,6,5,7]=>{{1},{2,3,4},{5,6},{7}}=>11
[2,3,6,1,4,5,7]=>[6,2,3,1,4,5,7]=>[5,3,4,6,7,2,1]=>{{1,5,7},{2,3,4,6}}=>1
[2,3,6,1,4,7,5]=>[6,2,3,1,7,4,5]=>[5,3,4,7,1,2,6]=>{{1,5},{2,3,4,7},{6}}=>6
[2,3,6,1,5,4,7]=>[6,2,3,5,1,4,7]=>[6,3,4,7,5,2,1]=>{{1,6},{2,3,4,7},{5}}=>5
[2,3,6,1,5,7,4]=>[6,2,3,7,1,5,4]=>[6,3,4,1,7,2,5]=>{{1,6},{2,3,4},{5,7}}=>5
[2,3,6,1,7,4,5]=>[6,2,3,7,4,1,5]=>[7,3,4,6,1,2,5]=>{{1,7},{2,3,4,6},{5}}=>5
[2,3,6,1,7,5,4]=>[6,2,3,5,7,1,4]=>[7,3,4,1,5,2,6]=>{{1,7},{2,3,4},{5},{6}}=>10
[2,3,6,4,1,5,7]=>[4,2,3,6,1,5,7]=>[6,3,4,2,7,5,1]=>{{1,6},{2,3,4},{5,7}}=>5
[2,3,6,4,1,7,5]=>[4,2,3,6,7,1,5]=>[7,3,4,2,1,5,6]=>{{1,7},{2,3,4},{5},{6}}=>10
[2,3,6,4,5,1,7]=>[5,2,3,6,4,1,7]=>[7,3,4,6,2,5,1]=>{{1,7},{2,3,4,6},{5}}=>5
[2,3,6,4,5,7,1]=>[7,2,3,6,4,5,1]=>[1,3,4,6,7,5,2]=>{{1},{2,3,4,6},{5,7}}=>5
[2,3,6,4,7,1,5]=>[7,2,3,6,1,4,5]=>[6,3,4,7,1,5,2]=>{{1,6},{2,3,4,7},{5}}=>5
[2,3,6,4,7,5,1]=>[5,2,3,7,6,1,4]=>[7,3,4,1,2,6,5]=>{{1,7},{2,3,4},{5},{6}}=>10
[2,3,6,5,1,4,7]=>[5,2,3,1,6,4,7]=>[5,3,4,7,2,6,1]=>{{1,5},{2,3,4,7},{6}}=>6
[2,3,6,5,1,7,4]=>[5,2,3,6,7,4,1]=>[1,3,4,7,2,5,6]=>{{1},{2,3,4,7},{5},{6}}=>10
[2,3,6,5,4,1,7]=>[4,2,3,5,6,1,7]=>[7,3,4,2,5,6,1]=>{{1,7},{2,3,4},{5},{6}}=>10
[2,3,6,5,4,7,1]=>[7,2,3,5,6,4,1]=>[1,3,4,7,5,6,2]=>{{1},{2,3,4,7},{5},{6}}=>10
[2,3,6,5,7,1,4]=>[7,2,3,1,6,5,4]=>[5,3,4,1,7,6,2]=>{{1,5,7},{2,3,4},{6}}=>6
[2,3,6,5,7,4,1]=>[4,2,3,7,6,5,1]=>[1,3,4,2,7,6,5]=>{{1},{2,3,4},{5,7},{6}}=>10
[2,3,6,7,1,4,5]=>[7,2,3,1,4,6,5]=>[5,3,4,6,1,7,2]=>{{1,5},{2,3,4,6,7}}=>1
[2,3,6,7,1,5,4]=>[7,2,3,5,1,6,4]=>[6,3,4,1,5,7,2]=>{{1,6,7},{2,3,4},{5}}=>5
[2,3,6,7,4,1,5]=>[4,2,3,7,1,6,5]=>[6,3,4,2,1,7,5]=>{{1,6,7},{2,3,4},{5}}=>5
[2,3,6,7,4,5,1]=>[5,2,3,7,4,6,1]=>[1,3,4,6,2,7,5]=>{{1},{2,3,4,6,7},{5}}=>5
[2,3,6,7,5,1,4]=>[5,2,3,1,7,6,4]=>[5,3,4,1,2,7,6]=>{{1,5},{2,3,4},{6,7}}=>6
[2,3,6,7,5,4,1]=>[4,2,3,5,7,6,1]=>[1,3,4,2,5,7,6]=>{{1},{2,3,4},{5},{6,7}}=>10
[2,3,7,1,4,5,6]=>[7,2,3,1,4,5,6]=>[5,3,4,6,7,1,2]=>{{1,5,7},{2,3,4,6}}=>1
[2,3,7,1,4,6,5]=>[7,2,3,1,6,4,5]=>[5,3,4,7,1,6,2]=>{{1,5},{2,3,4,7},{6}}=>6
[2,3,7,1,5,4,6]=>[7,2,3,5,1,4,6]=>[6,3,4,7,5,1,2]=>{{1,6},{2,3,4,7},{5}}=>5
[2,3,7,1,5,6,4]=>[7,2,3,6,1,5,4]=>[6,3,4,1,7,5,2]=>{{1,6},{2,3,4},{5,7}}=>5
[2,3,7,1,6,4,5]=>[7,2,3,6,4,1,5]=>[7,3,4,6,1,5,2]=>{{1,7},{2,3,4,6},{5}}=>5
[2,3,7,1,6,5,4]=>[7,2,3,5,6,1,4]=>[7,3,4,1,5,6,2]=>{{1,7},{2,3,4},{5},{6}}=>10
[2,3,7,4,1,5,6]=>[4,2,3,7,1,5,6]=>[6,3,4,2,7,1,5]=>{{1,6},{2,3,4},{5,7}}=>5
[2,3,7,4,1,6,5]=>[4,2,3,7,6,1,5]=>[7,3,4,2,1,6,5]=>{{1,7},{2,3,4},{5},{6}}=>10
[2,3,7,4,5,1,6]=>[5,2,3,7,4,1,6]=>[7,3,4,6,2,1,5]=>{{1,7},{2,3,4,6},{5}}=>5
[2,3,7,4,5,6,1]=>[6,2,3,7,4,5,1]=>[1,3,4,6,7,2,5]=>{{1},{2,3,4,6},{5,7}}=>5
[2,3,7,4,6,1,5]=>[6,2,3,7,1,4,5]=>[6,3,4,7,1,2,5]=>{{1,6},{2,3,4,7},{5}}=>5
[2,3,7,4,6,5,1]=>[5,2,3,6,7,1,4]=>[7,3,4,1,2,5,6]=>{{1,7},{2,3,4},{5},{6}}=>10
[2,3,7,5,1,4,6]=>[5,2,3,1,7,4,6]=>[5,3,4,7,2,1,6]=>{{1,5},{2,3,4,7},{6}}=>6
[2,3,7,5,1,6,4]=>[5,2,3,7,6,4,1]=>[1,3,4,7,2,6,5]=>{{1},{2,3,4,7},{5},{6}}=>10
[2,3,7,5,4,1,6]=>[4,2,3,5,7,1,6]=>[7,3,4,2,5,1,6]=>{{1,7},{2,3,4},{5},{6}}=>10
[2,3,7,5,4,6,1]=>[6,2,3,5,7,4,1]=>[1,3,4,7,5,2,6]=>{{1},{2,3,4,7},{5},{6}}=>10
[2,3,7,5,6,1,4]=>[6,2,3,1,7,5,4]=>[5,3,4,1,7,2,6]=>{{1,5,7},{2,3,4},{6}}=>6
[2,3,7,5,6,4,1]=>[4,2,3,6,7,5,1]=>[1,3,4,2,7,5,6]=>{{1},{2,3,4},{5,7},{6}}=>10
[2,3,7,6,1,4,5]=>[6,2,3,1,4,7,5]=>[5,3,4,6,1,2,7]=>{{1,5},{2,3,4,6},{7}}=>7
[2,3,7,6,1,5,4]=>[6,2,3,5,1,7,4]=>[6,3,4,1,5,2,7]=>{{1,6},{2,3,4},{5},{7}}=>11
[2,3,7,6,4,1,5]=>[4,2,3,6,1,7,5]=>[6,3,4,2,1,5,7]=>{{1,6},{2,3,4},{5},{7}}=>11
[2,3,7,6,4,5,1]=>[5,2,3,6,4,7,1]=>[1,3,4,6,2,5,7]=>{{1},{2,3,4,6},{5},{7}}=>11
[2,3,7,6,5,1,4]=>[5,2,3,1,6,7,4]=>[5,3,4,1,2,6,7]=>{{1,5},{2,3,4},{6},{7}}=>12
[2,3,7,6,5,4,1]=>[4,2,3,5,6,7,1]=>[1,3,4,2,5,6,7]=>{{1},{2,3,4},{5},{6},{7}}=>16
[2,4,1,3,5,6,7]=>[4,2,1,3,5,6,7]=>[4,3,5,2,6,7,1]=>{{1,4},{2,3,5,6,7}}=>1
[2,4,1,3,5,7,6]=>[4,2,1,3,5,7,6]=>[4,3,5,2,6,1,7]=>{{1,4},{2,3,5,6},{7}}=>7
[2,4,1,3,6,5,7]=>[4,2,1,3,6,5,7]=>[4,3,5,2,7,6,1]=>{{1,4},{2,3,5,7},{6}}=>6
[2,4,1,3,6,7,5]=>[4,2,1,3,7,6,5]=>[4,3,5,2,1,7,6]=>{{1,4},{2,3,5},{6,7}}=>6
[2,4,1,3,7,5,6]=>[4,2,1,3,7,5,6]=>[4,3,5,2,7,1,6]=>{{1,4},{2,3,5,7},{6}}=>6
[2,4,1,3,7,6,5]=>[4,2,1,3,6,7,5]=>[4,3,5,2,1,6,7]=>{{1,4},{2,3,5},{6},{7}}=>12
[2,4,1,5,3,6,7]=>[4,2,5,1,3,6,7]=>[5,3,6,2,4,7,1]=>{{1,5},{2,3,6,7},{4}}=>4
[2,4,1,5,3,7,6]=>[4,2,5,1,3,7,6]=>[5,3,6,2,4,1,7]=>{{1,5},{2,3,6},{4},{7}}=>10
[2,4,1,5,6,3,7]=>[4,2,6,1,5,3,7]=>[5,3,7,2,6,4,1]=>{{1,5,6},{2,3,7},{4}}=>4
[2,4,1,5,6,7,3]=>[4,2,7,1,5,6,3]=>[5,3,1,2,6,7,4]=>{{1,5,6,7},{2,3},{4}}=>4
[2,4,1,5,7,3,6]=>[4,2,7,1,5,3,6]=>[5,3,7,2,6,1,4]=>{{1,5,6},{2,3,7},{4}}=>4
[2,4,1,5,7,6,3]=>[4,2,6,1,5,7,3]=>[5,3,1,2,6,4,7]=>{{1,5,6},{2,3},{4},{7}}=>10
[2,4,1,6,3,5,7]=>[4,2,6,1,3,5,7]=>[5,3,6,2,7,4,1]=>{{1,5,7},{2,3,6},{4}}=>4
[2,4,1,6,3,7,5]=>[4,2,6,1,7,3,5]=>[5,3,7,2,1,4,6]=>{{1,5},{2,3,7},{4},{6}}=>9
[2,4,1,6,5,3,7]=>[4,2,5,1,6,3,7]=>[5,3,7,2,4,6,1]=>{{1,5},{2,3,7},{4},{6}}=>9
[2,4,1,6,5,7,3]=>[4,2,7,1,6,5,3]=>[5,3,1,2,7,6,4]=>{{1,5,7},{2,3},{4},{6}}=>9
[2,4,1,6,7,3,5]=>[4,2,7,1,3,6,5]=>[5,3,6,2,1,7,4]=>{{1,5},{2,3,6,7},{4}}=>4
[2,4,1,6,7,5,3]=>[4,2,5,1,7,6,3]=>[5,3,1,2,4,7,6]=>{{1,5},{2,3},{4},{6,7}}=>9
[2,4,1,7,3,5,6]=>[4,2,7,1,3,5,6]=>[5,3,6,2,7,1,4]=>{{1,5,7},{2,3,6},{4}}=>4
[2,4,1,7,3,6,5]=>[4,2,7,1,6,3,5]=>[5,3,7,2,1,6,4]=>{{1,5},{2,3,7},{4},{6}}=>9
[2,4,1,7,5,3,6]=>[4,2,5,1,7,3,6]=>[5,3,7,2,4,1,6]=>{{1,5},{2,3,7},{4},{6}}=>9
[2,4,1,7,5,6,3]=>[4,2,6,1,7,5,3]=>[5,3,1,2,7,4,6]=>{{1,5,7},{2,3},{4},{6}}=>9
[2,4,1,7,6,3,5]=>[4,2,6,1,3,7,5]=>[5,3,6,2,1,4,7]=>{{1,5},{2,3,6},{4},{7}}=>10
[2,4,1,7,6,5,3]=>[4,2,5,1,6,7,3]=>[5,3,1,2,4,6,7]=>{{1,5},{2,3},{4},{6},{7}}=>15
[2,4,3,1,5,6,7]=>[3,2,4,1,5,6,7]=>[5,3,2,4,6,7,1]=>{{1,5,6,7},{2,3},{4}}=>4
[2,4,3,1,5,7,6]=>[3,2,4,1,5,7,6]=>[5,3,2,4,6,1,7]=>{{1,5,6},{2,3},{4},{7}}=>10
[2,4,3,1,6,5,7]=>[3,2,4,1,6,5,7]=>[5,3,2,4,7,6,1]=>{{1,5,7},{2,3},{4},{6}}=>9
[2,4,3,1,6,7,5]=>[3,2,4,1,7,6,5]=>[5,3,2,4,1,7,6]=>{{1,5},{2,3},{4},{6,7}}=>9
[2,4,3,1,7,5,6]=>[3,2,4,1,7,5,6]=>[5,3,2,4,7,1,6]=>{{1,5,7},{2,3},{4},{6}}=>9
[2,4,3,1,7,6,5]=>[3,2,4,1,6,7,5]=>[5,3,2,4,1,6,7]=>{{1,5},{2,3},{4},{6},{7}}=>15
[2,4,3,5,1,6,7]=>[5,2,4,3,1,6,7]=>[6,3,5,4,2,7,1]=>{{1,6,7},{2,3,5},{4}}=>4
[2,4,3,5,1,7,6]=>[5,2,4,3,1,7,6]=>[6,3,5,4,2,1,7]=>{{1,6},{2,3,5},{4},{7}}=>10
[2,4,3,5,6,1,7]=>[6,2,4,3,5,1,7]=>[7,3,5,4,6,2,1]=>{{1,7},{2,3,5,6},{4}}=>4
[2,4,3,5,6,7,1]=>[7,2,4,3,5,6,1]=>[1,3,5,4,6,7,2]=>{{1},{2,3,5,6,7},{4}}=>4
[2,4,3,5,7,1,6]=>[7,2,4,3,5,1,6]=>[7,3,5,4,6,1,2]=>{{1,7},{2,3,5,6},{4}}=>4
[2,4,3,5,7,6,1]=>[6,2,4,3,5,7,1]=>[1,3,5,4,6,2,7]=>{{1},{2,3,5,6},{4},{7}}=>10
[2,4,3,6,1,5,7]=>[6,2,4,3,1,5,7]=>[6,3,5,4,7,2,1]=>{{1,6},{2,3,5,7},{4}}=>4
[2,4,3,6,1,7,5]=>[6,2,4,3,7,1,5]=>[7,3,5,4,1,2,6]=>{{1,7},{2,3,5},{4},{6}}=>9
[2,4,3,6,5,1,7]=>[5,2,4,3,6,1,7]=>[7,3,5,4,2,6,1]=>{{1,7},{2,3,5},{4},{6}}=>9
[2,4,3,6,5,7,1]=>[7,2,4,3,6,5,1]=>[1,3,5,4,7,6,2]=>{{1},{2,3,5,7},{4},{6}}=>9
[2,4,3,6,7,1,5]=>[7,2,4,3,1,6,5]=>[6,3,5,4,1,7,2]=>{{1,6,7},{2,3,5},{4}}=>4
[2,4,3,6,7,5,1]=>[5,2,4,3,7,6,1]=>[1,3,5,4,2,7,6]=>{{1},{2,3,5},{4},{6,7}}=>9
[2,4,3,7,1,5,6]=>[7,2,4,3,1,5,6]=>[6,3,5,4,7,1,2]=>{{1,6},{2,3,5,7},{4}}=>4
[2,4,3,7,1,6,5]=>[7,2,4,3,6,1,5]=>[7,3,5,4,1,6,2]=>{{1,7},{2,3,5},{4},{6}}=>9
[2,4,3,7,5,1,6]=>[5,2,4,3,7,1,6]=>[7,3,5,4,2,1,6]=>{{1,7},{2,3,5},{4},{6}}=>9
[2,4,3,7,5,6,1]=>[6,2,4,3,7,5,1]=>[1,3,5,4,7,2,6]=>{{1},{2,3,5,7},{4},{6}}=>9
[2,4,3,7,6,1,5]=>[6,2,4,3,1,7,5]=>[6,3,5,4,1,2,7]=>{{1,6},{2,3,5},{4},{7}}=>10
[2,4,3,7,6,5,1]=>[5,2,4,3,6,7,1]=>[1,3,5,4,2,6,7]=>{{1},{2,3,5},{4},{6},{7}}=>15
[2,4,5,1,3,6,7]=>[5,2,1,4,3,6,7]=>[4,3,6,5,2,7,1]=>{{1,4,5},{2,3,6,7}}=>1
[2,4,5,1,3,7,6]=>[5,2,1,4,3,7,6]=>[4,3,6,5,2,1,7]=>{{1,4,5},{2,3,6},{7}}=>7
[2,4,5,1,6,3,7]=>[5,2,6,4,1,3,7]=>[6,3,7,5,2,4,1]=>{{1,6},{2,3,7},{4,5}}=>4
[2,4,5,1,6,7,3]=>[5,2,7,4,1,6,3]=>[6,3,1,5,2,7,4]=>{{1,6,7},{2,3},{4,5}}=>4
[2,4,5,1,7,3,6]=>[5,2,7,4,1,3,6]=>[6,3,7,5,2,1,4]=>{{1,6},{2,3,7},{4,5}}=>4
[2,4,5,1,7,6,3]=>[5,2,6,4,1,7,3]=>[6,3,1,5,2,4,7]=>{{1,6},{2,3},{4,5},{7}}=>10
[2,4,5,3,1,6,7]=>[3,2,5,4,1,6,7]=>[6,3,2,5,4,7,1]=>{{1,6,7},{2,3},{4,5}}=>4
[2,4,5,3,1,7,6]=>[3,2,5,4,1,7,6]=>[6,3,2,5,4,1,7]=>{{1,6},{2,3},{4,5},{7}}=>10
[2,4,5,3,6,1,7]=>[6,2,5,4,3,1,7]=>[7,3,6,5,4,2,1]=>{{1,7},{2,3,6},{4,5}}=>4
[2,4,5,3,6,7,1]=>[7,2,5,4,3,6,1]=>[1,3,6,5,4,7,2]=>{{1},{2,3,6,7},{4,5}}=>4
[2,4,5,3,7,1,6]=>[7,2,5,4,3,1,6]=>[7,3,6,5,4,1,2]=>{{1,7},{2,3,6},{4,5}}=>4
[2,4,5,3,7,6,1]=>[6,2,5,4,3,7,1]=>[1,3,6,5,4,2,7]=>{{1},{2,3,6},{4,5},{7}}=>10
[2,4,5,6,1,3,7]=>[6,2,1,4,5,3,7]=>[4,3,7,5,6,2,1]=>{{1,4,5,6},{2,3,7}}=>1
[2,4,5,6,1,7,3]=>[6,2,7,4,5,1,3]=>[7,3,1,5,6,2,4]=>{{1,7},{2,3},{4,5,6}}=>4
[2,4,5,6,3,1,7]=>[3,2,6,4,5,1,7]=>[7,3,2,5,6,4,1]=>{{1,7},{2,3},{4,5,6}}=>4
[2,4,5,6,3,7,1]=>[7,2,6,4,5,3,1]=>[1,3,7,5,6,4,2]=>{{1},{2,3,7},{4,5,6}}=>4
[2,4,5,6,7,1,3]=>[7,2,1,4,5,6,3]=>[4,3,1,5,6,7,2]=>{{1,4,5,6,7},{2,3}}=>1
[2,4,5,6,7,3,1]=>[3,2,7,4,5,6,1]=>[1,3,2,5,6,7,4]=>{{1},{2,3},{4,5,6,7}}=>4
[2,4,5,7,1,3,6]=>[7,2,1,4,5,3,6]=>[4,3,7,5,6,1,2]=>{{1,4,5,6},{2,3,7}}=>1
[2,4,5,7,1,6,3]=>[7,2,6,4,5,1,3]=>[7,3,1,5,6,4,2]=>{{1,7},{2,3},{4,5,6}}=>4
[2,4,5,7,3,1,6]=>[3,2,7,4,5,1,6]=>[7,3,2,5,6,1,4]=>{{1,7},{2,3},{4,5,6}}=>4
[2,4,5,7,3,6,1]=>[6,2,7,4,5,3,1]=>[1,3,7,5,6,2,4]=>{{1},{2,3,7},{4,5,6}}=>4
[2,4,5,7,6,1,3]=>[6,2,1,4,5,7,3]=>[4,3,1,5,6,2,7]=>{{1,4,5,6},{2,3},{7}}=>7
[2,4,5,7,6,3,1]=>[3,2,6,4,5,7,1]=>[1,3,2,5,6,4,7]=>{{1},{2,3},{4,5,6},{7}}=>10
[2,4,6,1,3,5,7]=>[6,2,1,4,3,5,7]=>[4,3,6,5,7,2,1]=>{{1,4,5,7},{2,3,6}}=>1
[2,4,6,1,3,7,5]=>[6,2,1,4,7,3,5]=>[4,3,7,5,1,2,6]=>{{1,4,5},{2,3,7},{6}}=>6
[2,4,6,1,5,3,7]=>[6,2,5,4,1,3,7]=>[6,3,7,5,4,2,1]=>{{1,6},{2,3,7},{4,5}}=>4
[2,4,6,1,5,7,3]=>[6,2,7,4,1,5,3]=>[6,3,1,5,7,2,4]=>{{1,6},{2,3},{4,5,7}}=>4
[2,4,6,1,7,3,5]=>[6,2,7,4,3,1,5]=>[7,3,6,5,1,2,4]=>{{1,7},{2,3,6},{4,5}}=>4
[2,4,6,1,7,5,3]=>[6,2,5,4,7,1,3]=>[7,3,1,5,4,2,6]=>{{1,7},{2,3},{4,5},{6}}=>9
[2,4,6,3,1,5,7]=>[3,2,6,4,1,5,7]=>[6,3,2,5,7,4,1]=>{{1,6},{2,3},{4,5,7}}=>4
[2,4,6,3,1,7,5]=>[3,2,6,4,7,1,5]=>[7,3,2,5,1,4,6]=>{{1,7},{2,3},{4,5},{6}}=>9
[2,4,6,3,5,1,7]=>[5,2,6,4,3,1,7]=>[7,3,6,5,2,4,1]=>{{1,7},{2,3,6},{4,5}}=>4
[2,4,6,3,5,7,1]=>[7,2,6,4,3,5,1]=>[1,3,6,5,7,4,2]=>{{1},{2,3,6},{4,5,7}}=>4
[2,4,6,3,7,1,5]=>[7,2,6,4,1,3,5]=>[6,3,7,5,1,4,2]=>{{1,6},{2,3,7},{4,5}}=>4
[2,4,6,3,7,5,1]=>[5,2,7,4,6,1,3]=>[7,3,1,5,2,6,4]=>{{1,7},{2,3},{4,5},{6}}=>9
[2,4,6,5,1,3,7]=>[5,2,1,4,6,3,7]=>[4,3,7,5,2,6,1]=>{{1,4,5},{2,3,7},{6}}=>6
[2,4,6,5,1,7,3]=>[5,2,6,4,7,3,1]=>[1,3,7,5,2,4,6]=>{{1},{2,3,7},{4,5},{6}}=>9
[2,4,6,5,3,1,7]=>[3,2,5,4,6,1,7]=>[7,3,2,5,4,6,1]=>{{1,7},{2,3},{4,5},{6}}=>9
[2,4,6,5,3,7,1]=>[7,2,5,4,6,3,1]=>[1,3,7,5,4,6,2]=>{{1},{2,3,7},{4,5},{6}}=>9
[2,4,6,5,7,1,3]=>[7,2,1,4,6,5,3]=>[4,3,1,5,7,6,2]=>{{1,4,5,7},{2,3},{6}}=>6
[2,4,6,5,7,3,1]=>[3,2,7,4,6,5,1]=>[1,3,2,5,7,6,4]=>{{1},{2,3},{4,5,7},{6}}=>9
[2,4,6,7,1,3,5]=>[7,2,1,4,3,6,5]=>[4,3,6,5,1,7,2]=>{{1,4,5},{2,3,6,7}}=>1
[2,4,6,7,1,5,3]=>[7,2,5,4,1,6,3]=>[6,3,1,5,4,7,2]=>{{1,6,7},{2,3},{4,5}}=>4
[2,4,6,7,3,1,5]=>[3,2,7,4,1,6,5]=>[6,3,2,5,1,7,4]=>{{1,6,7},{2,3},{4,5}}=>4
[2,4,6,7,3,5,1]=>[5,2,7,4,3,6,1]=>[1,3,6,5,2,7,4]=>{{1},{2,3,6,7},{4,5}}=>4
[2,4,6,7,5,1,3]=>[5,2,1,4,7,6,3]=>[4,3,1,5,2,7,6]=>{{1,4,5},{2,3},{6,7}}=>6
[2,4,6,7,5,3,1]=>[3,2,5,4,7,6,1]=>[1,3,2,5,4,7,6]=>{{1},{2,3},{4,5},{6,7}}=>9
[2,4,7,1,3,5,6]=>[7,2,1,4,3,5,6]=>[4,3,6,5,7,1,2]=>{{1,4,5,7},{2,3,6}}=>1
[2,4,7,1,3,6,5]=>[7,2,1,4,6,3,5]=>[4,3,7,5,1,6,2]=>{{1,4,5},{2,3,7},{6}}=>6
[2,4,7,1,5,3,6]=>[7,2,5,4,1,3,6]=>[6,3,7,5,4,1,2]=>{{1,6},{2,3,7},{4,5}}=>4
[2,4,7,1,5,6,3]=>[7,2,6,4,1,5,3]=>[6,3,1,5,7,4,2]=>{{1,6},{2,3},{4,5,7}}=>4
[2,4,7,1,6,3,5]=>[7,2,6,4,3,1,5]=>[7,3,6,5,1,4,2]=>{{1,7},{2,3,6},{4,5}}=>4
[2,4,7,1,6,5,3]=>[7,2,5,4,6,1,3]=>[7,3,1,5,4,6,2]=>{{1,7},{2,3},{4,5},{6}}=>9
[2,4,7,3,1,5,6]=>[3,2,7,4,1,5,6]=>[6,3,2,5,7,1,4]=>{{1,6},{2,3},{4,5,7}}=>4
[2,4,7,3,1,6,5]=>[3,2,7,4,6,1,5]=>[7,3,2,5,1,6,4]=>{{1,7},{2,3},{4,5},{6}}=>9
[2,4,7,3,5,1,6]=>[5,2,7,4,3,1,6]=>[7,3,6,5,2,1,4]=>{{1,7},{2,3,6},{4,5}}=>4
[2,4,7,3,5,6,1]=>[6,2,7,4,3,5,1]=>[1,3,6,5,7,2,4]=>{{1},{2,3,6},{4,5,7}}=>4
[2,4,7,3,6,1,5]=>[6,2,7,4,1,3,5]=>[6,3,7,5,1,2,4]=>{{1,6},{2,3,7},{4,5}}=>4
[2,4,7,3,6,5,1]=>[5,2,6,4,7,1,3]=>[7,3,1,5,2,4,6]=>{{1,7},{2,3},{4,5},{6}}=>9
[2,4,7,5,1,3,6]=>[5,2,1,4,7,3,6]=>[4,3,7,5,2,1,6]=>{{1,4,5},{2,3,7},{6}}=>6
[2,4,7,5,1,6,3]=>[5,2,7,4,6,3,1]=>[1,3,7,5,2,6,4]=>{{1},{2,3,7},{4,5},{6}}=>9
[2,4,7,5,3,1,6]=>[3,2,5,4,7,1,6]=>[7,3,2,5,4,1,6]=>{{1,7},{2,3},{4,5},{6}}=>9
[2,4,7,5,3,6,1]=>[6,2,5,4,7,3,1]=>[1,3,7,5,4,2,6]=>{{1},{2,3,7},{4,5},{6}}=>9
[2,4,7,5,6,1,3]=>[6,2,1,4,7,5,3]=>[4,3,1,5,7,2,6]=>{{1,4,5,7},{2,3},{6}}=>6
[2,4,7,5,6,3,1]=>[3,2,6,4,7,5,1]=>[1,3,2,5,7,4,6]=>{{1},{2,3},{4,5,7},{6}}=>9
[2,4,7,6,1,3,5]=>[6,2,1,4,3,7,5]=>[4,3,6,5,1,2,7]=>{{1,4,5},{2,3,6},{7}}=>7
[2,4,7,6,1,5,3]=>[6,2,5,4,1,7,3]=>[6,3,1,5,4,2,7]=>{{1,6},{2,3},{4,5},{7}}=>10
[2,4,7,6,3,1,5]=>[3,2,6,4,1,7,5]=>[6,3,2,5,1,4,7]=>{{1,6},{2,3},{4,5},{7}}=>10
[2,4,7,6,3,5,1]=>[5,2,6,4,3,7,1]=>[1,3,6,5,2,4,7]=>{{1},{2,3,6},{4,5},{7}}=>10
[2,4,7,6,5,1,3]=>[5,2,1,4,6,7,3]=>[4,3,1,5,2,6,7]=>{{1,4,5},{2,3},{6},{7}}=>12
[2,4,7,6,5,3,1]=>[3,2,5,4,6,7,1]=>[1,3,2,5,4,6,7]=>{{1},{2,3},{4,5},{6},{7}}=>15
[2,5,1,3,4,6,7]=>[5,2,1,3,4,6,7]=>[4,3,5,6,2,7,1]=>{{1,4,6,7},{2,3,5}}=>1
[2,5,1,3,4,7,6]=>[5,2,1,3,4,7,6]=>[4,3,5,6,2,1,7]=>{{1,4,6},{2,3,5},{7}}=>7
[2,5,1,3,6,4,7]=>[5,2,1,6,3,4,7]=>[4,3,6,7,2,5,1]=>{{1,4,7},{2,3,6},{5}}=>5
[2,5,1,3,6,7,4]=>[5,2,1,7,3,6,4]=>[4,3,6,1,2,7,5]=>{{1,4},{2,3,6,7},{5}}=>5
[2,5,1,3,7,4,6]=>[5,2,1,7,3,4,6]=>[4,3,6,7,2,1,5]=>{{1,4,7},{2,3,6},{5}}=>5
[2,5,1,3,7,6,4]=>[5,2,1,6,3,7,4]=>[4,3,6,1,2,5,7]=>{{1,4},{2,3,6},{5},{7}}=>11
[2,5,1,4,3,6,7]=>[5,2,4,1,3,6,7]=>[5,3,6,4,2,7,1]=>{{1,5},{2,3,6,7},{4}}=>4
[2,5,1,4,3,7,6]=>[5,2,4,1,3,7,6]=>[5,3,6,4,2,1,7]=>{{1,5},{2,3,6},{4},{7}}=>10
[2,5,1,4,6,3,7]=>[5,2,6,1,4,3,7]=>[5,3,7,6,2,4,1]=>{{1,5},{2,3,7},{4,6}}=>4
[2,5,1,4,6,7,3]=>[5,2,7,1,4,6,3]=>[5,3,1,6,2,7,4]=>{{1,5},{2,3},{4,6,7}}=>4
[2,5,1,4,7,3,6]=>[5,2,7,1,4,3,6]=>[5,3,7,6,2,1,4]=>{{1,5},{2,3,7},{4,6}}=>4
[2,5,1,4,7,6,3]=>[5,2,6,1,4,7,3]=>[5,3,1,6,2,4,7]=>{{1,5},{2,3},{4,6},{7}}=>10
[2,5,1,6,3,4,7]=>[5,2,6,3,1,4,7]=>[6,3,5,7,2,4,1]=>{{1,6},{2,3,5},{4,7}}=>4
[2,5,1,6,3,7,4]=>[5,2,6,7,1,3,4]=>[6,3,7,1,2,4,5]=>{{1,6},{2,3,7},{4},{5}}=>8
[2,5,1,6,4,3,7]=>[5,2,4,6,1,3,7]=>[6,3,7,4,2,5,1]=>{{1,6},{2,3,7},{4},{5}}=>8
[2,5,1,6,4,7,3]=>[5,2,7,6,1,4,3]=>[6,3,1,7,2,5,4]=>{{1,6},{2,3},{4,7},{5}}=>8
[2,5,1,6,7,3,4]=>[5,2,7,3,1,6,4]=>[6,3,5,1,2,7,4]=>{{1,6,7},{2,3,5},{4}}=>4
[2,5,1,6,7,4,3]=>[5,2,4,7,1,6,3]=>[6,3,1,4,2,7,5]=>{{1,6,7},{2,3},{4},{5}}=>8
[2,5,1,7,3,4,6]=>[5,2,7,3,1,4,6]=>[6,3,5,7,2,1,4]=>{{1,6},{2,3,5},{4,7}}=>4
[2,5,1,7,3,6,4]=>[5,2,7,6,1,3,4]=>[6,3,7,1,2,5,4]=>{{1,6},{2,3,7},{4},{5}}=>8
[2,5,1,7,4,3,6]=>[5,2,4,7,1,3,6]=>[6,3,7,4,2,1,5]=>{{1,6},{2,3,7},{4},{5}}=>8
[2,5,1,7,4,6,3]=>[5,2,6,7,1,4,3]=>[6,3,1,7,2,4,5]=>{{1,6},{2,3},{4,7},{5}}=>8
[2,5,1,7,6,3,4]=>[5,2,6,3,1,7,4]=>[6,3,5,1,2,4,7]=>{{1,6},{2,3,5},{4},{7}}=>10
[2,5,1,7,6,4,3]=>[5,2,4,6,1,7,3]=>[6,3,1,4,2,5,7]=>{{1,6},{2,3},{4},{5},{7}}=>14
[2,5,3,1,4,6,7]=>[3,2,5,1,4,6,7]=>[5,3,2,6,4,7,1]=>{{1,5},{2,3},{4,6,7}}=>4
[2,5,3,1,4,7,6]=>[3,2,5,1,4,7,6]=>[5,3,2,6,4,1,7]=>{{1,5},{2,3},{4,6},{7}}=>10
[2,5,3,1,6,4,7]=>[3,2,5,6,1,4,7]=>[6,3,2,7,4,5,1]=>{{1,6},{2,3},{4,7},{5}}=>8
[2,5,3,1,6,7,4]=>[3,2,5,7,1,6,4]=>[6,3,2,1,4,7,5]=>{{1,6,7},{2,3},{4},{5}}=>8
[2,5,3,1,7,4,6]=>[3,2,5,7,1,4,6]=>[6,3,2,7,4,1,5]=>{{1,6},{2,3},{4,7},{5}}=>8
[2,5,3,1,7,6,4]=>[3,2,5,6,1,7,4]=>[6,3,2,1,4,5,7]=>{{1,6},{2,3},{4},{5},{7}}=>14
[2,5,3,4,1,6,7]=>[4,2,5,3,1,6,7]=>[6,3,5,2,4,7,1]=>{{1,6,7},{2,3,5},{4}}=>4
[2,5,3,4,1,7,6]=>[4,2,5,3,1,7,6]=>[6,3,5,2,4,1,7]=>{{1,6},{2,3,5},{4},{7}}=>10
[2,5,3,4,6,1,7]=>[6,2,5,3,4,1,7]=>[7,3,5,6,4,2,1]=>{{1,7},{2,3,5},{4,6}}=>4
[2,5,3,4,6,7,1]=>[7,2,5,3,4,6,1]=>[1,3,5,6,4,7,2]=>{{1},{2,3,5},{4,6,7}}=>4
[2,5,3,4,7,1,6]=>[7,2,5,3,4,1,6]=>[7,3,5,6,4,1,2]=>{{1,7},{2,3,5},{4,6}}=>4
[2,5,3,4,7,6,1]=>[6,2,5,3,4,7,1]=>[1,3,5,6,4,2,7]=>{{1},{2,3,5},{4,6},{7}}=>10
[2,5,3,6,1,4,7]=>[6,2,5,1,3,4,7]=>[5,3,6,7,4,2,1]=>{{1,5},{2,3,6},{4,7}}=>4
[2,5,3,6,1,7,4]=>[6,2,5,7,3,1,4]=>[7,3,6,1,4,2,5]=>{{1,7},{2,3,6},{4},{5}}=>8
[2,5,3,6,4,1,7]=>[4,2,6,5,1,3,7]=>[6,3,7,2,5,4,1]=>{{1,6},{2,3,7},{4},{5}}=>8
[2,5,3,6,4,7,1]=>[7,2,5,6,3,4,1]=>[1,3,6,7,4,5,2]=>{{1},{2,3,6},{4,7},{5}}=>8
[2,5,3,6,7,1,4]=>[7,2,5,1,3,6,4]=>[5,3,6,1,4,7,2]=>{{1,5},{2,3,6,7},{4}}=>4
[2,5,3,6,7,4,1]=>[4,2,7,5,1,6,3]=>[6,3,1,2,5,7,4]=>{{1,6,7},{2,3},{4},{5}}=>8
[2,5,3,7,1,4,6]=>[7,2,5,1,3,4,6]=>[5,3,6,7,4,1,2]=>{{1,5},{2,3,6},{4,7}}=>4
[2,5,3,7,1,6,4]=>[7,2,5,6,3,1,4]=>[7,3,6,1,4,5,2]=>{{1,7},{2,3,6},{4},{5}}=>8
[2,5,3,7,4,1,6]=>[4,2,7,5,1,3,6]=>[6,3,7,2,5,1,4]=>{{1,6},{2,3,7},{4},{5}}=>8
[2,5,3,7,4,6,1]=>[6,2,5,7,3,4,1]=>[1,3,6,7,4,2,5]=>{{1},{2,3,6},{4,7},{5}}=>8
[2,5,3,7,6,1,4]=>[6,2,5,1,3,7,4]=>[5,3,6,1,4,2,7]=>{{1,5},{2,3,6},{4},{7}}=>10
[2,5,3,7,6,4,1]=>[4,2,6,5,1,7,3]=>[6,3,1,2,5,4,7]=>{{1,6},{2,3},{4},{5},{7}}=>14
[2,5,4,1,3,6,7]=>[4,2,1,5,3,6,7]=>[4,3,6,2,5,7,1]=>{{1,4},{2,3,6,7},{5}}=>5
[2,5,4,1,3,7,6]=>[4,2,1,5,3,7,6]=>[4,3,6,2,5,1,7]=>{{1,4},{2,3,6},{5},{7}}=>11
[2,5,4,1,6,3,7]=>[4,2,5,6,3,1,7]=>[7,3,6,2,4,5,1]=>{{1,7},{2,3,6},{4},{5}}=>8
[2,5,4,1,6,7,3]=>[4,2,5,7,3,6,1]=>[1,3,6,2,4,7,5]=>{{1},{2,3,6,7},{4},{5}}=>8
[2,5,4,1,7,3,6]=>[4,2,5,7,3,1,6]=>[7,3,6,2,4,1,5]=>{{1,7},{2,3,6},{4},{5}}=>8
[2,5,4,1,7,6,3]=>[4,2,5,6,3,7,1]=>[1,3,6,2,4,5,7]=>{{1},{2,3,6},{4},{5},{7}}=>14
[2,5,4,3,1,6,7]=>[3,2,4,5,1,6,7]=>[6,3,2,4,5,7,1]=>{{1,6,7},{2,3},{4},{5}}=>8
[2,5,4,3,1,7,6]=>[3,2,4,5,1,7,6]=>[6,3,2,4,5,1,7]=>{{1,6},{2,3},{4},{5},{7}}=>14
[2,5,4,3,6,1,7]=>[6,2,4,5,3,1,7]=>[7,3,6,4,5,2,1]=>{{1,7},{2,3,6},{4},{5}}=>8
[2,5,4,3,6,7,1]=>[7,2,4,5,3,6,1]=>[1,3,6,4,5,7,2]=>{{1},{2,3,6,7},{4},{5}}=>8
[2,5,4,3,7,1,6]=>[7,2,4,5,3,1,6]=>[7,3,6,4,5,1,2]=>{{1,7},{2,3,6},{4},{5}}=>8
[2,5,4,3,7,6,1]=>[6,2,4,5,3,7,1]=>[1,3,6,4,5,2,7]=>{{1},{2,3,6},{4},{5},{7}}=>14
[2,5,4,6,1,3,7]=>[6,2,1,5,4,3,7]=>[4,3,7,6,5,2,1]=>{{1,4,6},{2,3,7},{5}}=>5
[2,5,4,6,1,7,3]=>[6,2,7,5,4,1,3]=>[7,3,1,6,5,2,4]=>{{1,7},{2,3},{4,6},{5}}=>8
[2,5,4,6,3,1,7]=>[3,2,6,5,4,1,7]=>[7,3,2,6,5,4,1]=>{{1,7},{2,3},{4,6},{5}}=>8
[2,5,4,6,3,7,1]=>[7,2,6,5,4,3,1]=>[1,3,7,6,5,4,2]=>{{1},{2,3,7},{4,6},{5}}=>8
[2,5,4,6,7,1,3]=>[7,2,1,5,4,6,3]=>[4,3,1,6,5,7,2]=>{{1,4,6,7},{2,3},{5}}=>5
[2,5,4,6,7,3,1]=>[3,2,7,5,4,6,1]=>[1,3,2,6,5,7,4]=>{{1},{2,3},{4,6,7},{5}}=>8
[2,5,4,7,1,3,6]=>[7,2,1,5,4,3,6]=>[4,3,7,6,5,1,2]=>{{1,4,6},{2,3,7},{5}}=>5
[2,5,4,7,1,6,3]=>[7,2,6,5,4,1,3]=>[7,3,1,6,5,4,2]=>{{1,7},{2,3},{4,6},{5}}=>8
[2,5,4,7,3,1,6]=>[3,2,7,5,4,1,6]=>[7,3,2,6,5,1,4]=>{{1,7},{2,3},{4,6},{5}}=>8
[2,5,4,7,3,6,1]=>[6,2,7,5,4,3,1]=>[1,3,7,6,5,2,4]=>{{1},{2,3,7},{4,6},{5}}=>8
[2,5,4,7,6,1,3]=>[6,2,1,5,4,7,3]=>[4,3,1,6,5,2,7]=>{{1,4,6},{2,3},{5},{7}}=>11
[2,5,4,7,6,3,1]=>[3,2,6,5,4,7,1]=>[1,3,2,6,5,4,7]=>{{1},{2,3},{4,6},{5},{7}}=>14
[2,5,6,1,3,4,7]=>[6,2,1,3,5,4,7]=>[4,3,5,7,6,2,1]=>{{1,4,7},{2,3,5,6}}=>1
[2,5,6,1,3,7,4]=>[6,2,1,7,5,3,4]=>[4,3,7,1,6,2,5]=>{{1,4},{2,3,7},{5,6}}=>5
[2,5,6,1,4,3,7]=>[6,2,4,1,5,3,7]=>[5,3,7,4,6,2,1]=>{{1,5,6},{2,3,7},{4}}=>4
[2,5,6,1,4,7,3]=>[6,2,7,1,5,4,3]=>[5,3,1,7,6,2,4]=>{{1,5,6},{2,3},{4,7}}=>4
[2,5,6,1,7,3,4]=>[6,2,7,3,5,1,4]=>[7,3,5,1,6,2,4]=>{{1,7},{2,3,5,6},{4}}=>4
[2,5,6,1,7,4,3]=>[6,2,4,7,5,1,3]=>[7,3,1,4,6,2,5]=>{{1,7},{2,3},{4},{5,6}}=>8
[2,5,6,3,1,4,7]=>[3,2,6,1,5,4,7]=>[5,3,2,7,6,4,1]=>{{1,5,6},{2,3},{4,7}}=>4
[2,5,6,3,1,7,4]=>[3,2,6,7,5,1,4]=>[7,3,2,1,6,4,5]=>{{1,7},{2,3},{4},{5,6}}=>8
[2,5,6,3,4,1,7]=>[4,2,6,3,5,1,7]=>[7,3,5,2,6,4,1]=>{{1,7},{2,3,5,6},{4}}=>4
[2,5,6,3,4,7,1]=>[7,2,6,3,5,4,1]=>[1,3,5,7,6,4,2]=>{{1},{2,3,5,6},{4,7}}=>4
[2,5,6,3,7,1,4]=>[7,2,6,1,5,3,4]=>[5,3,7,1,6,4,2]=>{{1,5,6},{2,3,7},{4}}=>4
[2,5,6,3,7,4,1]=>[4,2,7,6,5,1,3]=>[7,3,1,2,6,5,4]=>{{1,7},{2,3},{4},{5,6}}=>8
[2,5,6,4,1,3,7]=>[4,2,1,6,5,3,7]=>[4,3,7,2,6,5,1]=>{{1,4},{2,3,7},{5,6}}=>5
[2,5,6,4,1,7,3]=>[4,2,6,7,5,3,1]=>[1,3,7,2,6,4,5]=>{{1},{2,3,7},{4},{5,6}}=>8
[2,5,6,4,3,1,7]=>[3,2,4,6,5,1,7]=>[7,3,2,4,6,5,1]=>{{1,7},{2,3},{4},{5,6}}=>8
[2,5,6,4,3,7,1]=>[7,2,4,6,5,3,1]=>[1,3,7,4,6,5,2]=>{{1},{2,3,7},{4},{5,6}}=>8
[2,5,6,4,7,1,3]=>[7,2,1,6,5,4,3]=>[4,3,1,7,6,5,2]=>{{1,4,7},{2,3},{5,6}}=>5
[2,5,6,4,7,3,1]=>[3,2,7,6,5,4,1]=>[1,3,2,7,6,5,4]=>{{1},{2,3},{4,7},{5,6}}=>8
[2,5,6,7,1,3,4]=>[7,2,1,3,5,6,4]=>[4,3,5,1,6,7,2]=>{{1,4},{2,3,5,6,7}}=>1
[2,5,6,7,1,4,3]=>[7,2,4,1,5,6,3]=>[5,3,1,4,6,7,2]=>{{1,5,6,7},{2,3},{4}}=>4
[2,5,6,7,3,1,4]=>[3,2,7,1,5,6,4]=>[5,3,2,1,6,7,4]=>{{1,5,6,7},{2,3},{4}}=>4
[2,5,6,7,3,4,1]=>[4,2,7,3,5,6,1]=>[1,3,5,2,6,7,4]=>{{1},{2,3,5,6,7},{4}}=>4
[2,5,6,7,4,1,3]=>[4,2,1,7,5,6,3]=>[4,3,1,2,6,7,5]=>{{1,4},{2,3},{5,6,7}}=>5
[2,5,6,7,4,3,1]=>[3,2,4,7,5,6,1]=>[1,3,2,4,6,7,5]=>{{1},{2,3},{4},{5,6,7}}=>8
[2,5,7,1,3,4,6]=>[7,2,1,3,5,4,6]=>[4,3,5,7,6,1,2]=>{{1,4,7},{2,3,5,6}}=>1
[2,5,7,1,3,6,4]=>[7,2,1,6,5,3,4]=>[4,3,7,1,6,5,2]=>{{1,4},{2,3,7},{5,6}}=>5
[2,5,7,1,4,3,6]=>[7,2,4,1,5,3,6]=>[5,3,7,4,6,1,2]=>{{1,5,6},{2,3,7},{4}}=>4
[2,5,7,1,4,6,3]=>[7,2,6,1,5,4,3]=>[5,3,1,7,6,4,2]=>{{1,5,6},{2,3},{4,7}}=>4
[2,5,7,1,6,3,4]=>[7,2,6,3,5,1,4]=>[7,3,5,1,6,4,2]=>{{1,7},{2,3,5,6},{4}}=>4
[2,5,7,1,6,4,3]=>[7,2,4,6,5,1,3]=>[7,3,1,4,6,5,2]=>{{1,7},{2,3},{4},{5,6}}=>8
[2,5,7,3,1,4,6]=>[3,2,7,1,5,4,6]=>[5,3,2,7,6,1,4]=>{{1,5,6},{2,3},{4,7}}=>4
[2,5,7,3,1,6,4]=>[3,2,7,6,5,1,4]=>[7,3,2,1,6,5,4]=>{{1,7},{2,3},{4},{5,6}}=>8
[2,5,7,3,4,1,6]=>[4,2,7,3,5,1,6]=>[7,3,5,2,6,1,4]=>{{1,7},{2,3,5,6},{4}}=>4
[2,5,7,3,4,6,1]=>[6,2,7,3,5,4,1]=>[1,3,5,7,6,2,4]=>{{1},{2,3,5,6},{4,7}}=>4
[2,5,7,3,6,1,4]=>[6,2,7,1,5,3,4]=>[5,3,7,1,6,2,4]=>{{1,5,6},{2,3,7},{4}}=>4
[2,5,7,3,6,4,1]=>[4,2,6,7,5,1,3]=>[7,3,1,2,6,4,5]=>{{1,7},{2,3},{4},{5,6}}=>8
[2,5,7,4,1,3,6]=>[4,2,1,7,5,3,6]=>[4,3,7,2,6,1,5]=>{{1,4},{2,3,7},{5,6}}=>5
[2,5,7,4,1,6,3]=>[4,2,7,6,5,3,1]=>[1,3,7,2,6,5,4]=>{{1},{2,3,7},{4},{5,6}}=>8
[2,5,7,4,3,1,6]=>[3,2,4,7,5,1,6]=>[7,3,2,4,6,1,5]=>{{1,7},{2,3},{4},{5,6}}=>8
[2,5,7,4,3,6,1]=>[6,2,4,7,5,3,1]=>[1,3,7,4,6,2,5]=>{{1},{2,3,7},{4},{5,6}}=>8
[2,5,7,4,6,1,3]=>[6,2,1,7,5,4,3]=>[4,3,1,7,6,2,5]=>{{1,4,7},{2,3},{5,6}}=>5
[2,5,7,4,6,3,1]=>[3,2,6,7,5,4,1]=>[1,3,2,7,6,4,5]=>{{1},{2,3},{4,7},{5,6}}=>8
[2,5,7,6,1,3,4]=>[6,2,1,3,5,7,4]=>[4,3,5,1,6,2,7]=>{{1,4},{2,3,5,6},{7}}=>7
[2,5,7,6,1,4,3]=>[6,2,4,1,5,7,3]=>[5,3,1,4,6,2,7]=>{{1,5,6},{2,3},{4},{7}}=>10
[2,5,7,6,3,1,4]=>[3,2,6,1,5,7,4]=>[5,3,2,1,6,4,7]=>{{1,5,6},{2,3},{4},{7}}=>10
[2,5,7,6,3,4,1]=>[4,2,6,3,5,7,1]=>[1,3,5,2,6,4,7]=>{{1},{2,3,5,6},{4},{7}}=>10
[2,5,7,6,4,1,3]=>[4,2,1,6,5,7,3]=>[4,3,1,2,6,5,7]=>{{1,4},{2,3},{5,6},{7}}=>11
[2,5,7,6,4,3,1]=>[3,2,4,6,5,7,1]=>[1,3,2,4,6,5,7]=>{{1},{2,3},{4},{5,6},{7}}=>14
[2,6,1,3,4,5,7]=>[6,2,1,3,4,5,7]=>[4,3,5,6,7,2,1]=>{{1,4,6},{2,3,5,7}}=>1
[2,6,1,3,4,7,5]=>[6,2,1,3,7,4,5]=>[4,3,5,7,1,2,6]=>{{1,4,7},{2,3,5},{6}}=>6
[2,6,1,3,5,4,7]=>[6,2,1,5,3,4,7]=>[4,3,6,7,5,2,1]=>{{1,4,7},{2,3,6},{5}}=>5
[2,6,1,3,5,7,4]=>[6,2,1,7,3,5,4]=>[4,3,6,1,7,2,5]=>{{1,4},{2,3,6},{5,7}}=>5
[2,6,1,3,7,4,5]=>[6,2,1,7,4,3,5]=>[4,3,7,6,1,2,5]=>{{1,4,6},{2,3,7},{5}}=>5
[2,6,1,3,7,5,4]=>[6,2,1,5,7,3,4]=>[4,3,7,1,5,2,6]=>{{1,4},{2,3,7},{5},{6}}=>10
[2,6,1,4,3,5,7]=>[6,2,4,1,3,5,7]=>[5,3,6,4,7,2,1]=>{{1,5,7},{2,3,6},{4}}=>4
[2,6,1,4,3,7,5]=>[6,2,4,1,7,3,5]=>[5,3,7,4,1,2,6]=>{{1,5},{2,3,7},{4},{6}}=>9
[2,6,1,4,5,3,7]=>[6,2,5,1,4,3,7]=>[5,3,7,6,4,2,1]=>{{1,5},{2,3,7},{4,6}}=>4
[2,6,1,4,5,7,3]=>[6,2,7,1,3,4,5]=>[5,3,6,7,1,2,4]=>{{1,5},{2,3,6},{4,7}}=>4
[2,6,1,4,7,3,5]=>[6,2,7,1,4,5,3]=>[5,3,1,6,7,2,4]=>{{1,5,7},{2,3},{4,6}}=>4
[2,6,1,4,7,5,3]=>[6,2,5,1,7,4,3]=>[5,3,1,7,4,2,6]=>{{1,5},{2,3},{4,7},{6}}=>9
[2,6,1,5,3,4,7]=>[6,2,5,3,1,4,7]=>[6,3,5,7,4,2,1]=>{{1,6},{2,3,5},{4,7}}=>4
[2,6,1,5,3,7,4]=>[6,2,5,7,1,3,4]=>[6,3,7,1,4,2,5]=>{{1,6},{2,3,7},{4},{5}}=>8
[2,6,1,5,4,3,7]=>[6,2,4,5,1,3,7]=>[6,3,7,4,5,2,1]=>{{1,6},{2,3,7},{4},{5}}=>8
[2,6,1,5,4,7,3]=>[6,2,7,5,1,4,3]=>[6,3,1,7,5,2,4]=>{{1,6},{2,3},{4,7},{5}}=>8
[2,6,1,5,7,3,4]=>[6,2,7,3,1,5,4]=>[6,3,5,1,7,2,4]=>{{1,6},{2,3,5,7},{4}}=>4
[2,6,1,5,7,4,3]=>[6,2,4,7,1,5,3]=>[6,3,1,4,7,2,5]=>{{1,6},{2,3},{4},{5,7}}=>8
[2,6,1,7,3,4,5]=>[6,2,7,3,4,1,5]=>[7,3,5,6,1,2,4]=>{{1,7},{2,3,5},{4,6}}=>4
[2,6,1,7,3,5,4]=>[6,2,7,5,3,1,4]=>[7,3,6,1,5,2,4]=>{{1,7},{2,3,6},{4},{5}}=>8
[2,6,1,7,4,3,5]=>[6,2,4,7,3,1,5]=>[7,3,6,4,1,2,5]=>{{1,7},{2,3,6},{4},{5}}=>8
[2,6,1,7,4,5,3]=>[6,2,5,7,4,1,3]=>[7,3,1,6,4,2,5]=>{{1,7},{2,3},{4,6},{5}}=>8
[2,6,1,7,5,3,4]=>[6,2,5,3,7,1,4]=>[7,3,5,1,4,2,6]=>{{1,7},{2,3,5},{4},{6}}=>9
[2,6,1,7,5,4,3]=>[6,2,4,5,7,1,3]=>[7,3,1,4,5,2,6]=>{{1,7},{2,3},{4},{5},{6}}=>13
[2,6,3,1,4,5,7]=>[3,2,6,1,4,5,7]=>[5,3,2,6,7,4,1]=>{{1,5,7},{2,3},{4,6}}=>4
[2,6,3,1,4,7,5]=>[3,2,6,1,7,4,5]=>[5,3,2,7,1,4,6]=>{{1,5},{2,3},{4,7},{6}}=>9
[2,6,3,1,5,4,7]=>[3,2,6,5,1,4,7]=>[6,3,2,7,5,4,1]=>{{1,6},{2,3},{4,7},{5}}=>8
[2,6,3,1,5,7,4]=>[3,2,6,7,1,5,4]=>[6,3,2,1,7,4,5]=>{{1,6},{2,3},{4},{5,7}}=>8
[2,6,3,1,7,4,5]=>[3,2,6,7,4,1,5]=>[7,3,2,6,1,4,5]=>{{1,7},{2,3},{4,6},{5}}=>8
[2,6,3,1,7,5,4]=>[3,2,6,5,7,1,4]=>[7,3,2,1,5,4,6]=>{{1,7},{2,3},{4},{5},{6}}=>13
[2,6,3,4,1,5,7]=>[4,2,6,3,1,5,7]=>[6,3,5,2,7,4,1]=>{{1,6},{2,3,5,7},{4}}=>4
[2,6,3,4,1,7,5]=>[4,2,6,3,7,1,5]=>[7,3,5,2,1,4,6]=>{{1,7},{2,3,5},{4},{6}}=>9
[2,6,3,4,5,1,7]=>[5,2,6,3,4,1,7]=>[7,3,5,6,2,4,1]=>{{1,7},{2,3,5},{4,6}}=>4
[2,6,3,4,5,7,1]=>[7,2,6,3,4,5,1]=>[1,3,5,6,7,4,2]=>{{1},{2,3,5,7},{4,6}}=>4
[2,6,3,4,7,1,5]=>[7,2,6,3,1,4,5]=>[6,3,5,7,1,4,2]=>{{1,6},{2,3,5},{4,7}}=>4
[2,6,3,4,7,5,1]=>[5,2,7,3,6,1,4]=>[7,3,5,1,2,6,4]=>{{1,7},{2,3,5},{4},{6}}=>9
[2,6,3,5,1,4,7]=>[5,2,6,1,3,4,7]=>[5,3,6,7,2,4,1]=>{{1,5},{2,3,6},{4,7}}=>4
[2,6,3,5,1,7,4]=>[5,2,6,7,3,1,4]=>[7,3,6,1,2,4,5]=>{{1,7},{2,3,6},{4},{5}}=>8
[2,6,3,5,4,1,7]=>[4,2,5,6,1,3,7]=>[6,3,7,2,4,5,1]=>{{1,6},{2,3,7},{4},{5}}=>8
[2,6,3,5,4,7,1]=>[7,2,6,5,3,4,1]=>[1,3,6,7,5,4,2]=>{{1},{2,3,6},{4,7},{5}}=>8
[2,6,3,5,7,1,4]=>[7,2,6,1,4,3,5]=>[5,3,7,6,1,4,2]=>{{1,5},{2,3,7},{4,6}}=>4
[2,6,3,5,7,4,1]=>[4,2,7,6,3,1,5]=>[7,3,6,2,1,5,4]=>{{1,7},{2,3,6},{4},{5}}=>8
[2,6,3,7,1,4,5]=>[7,2,6,1,3,5,4]=>[5,3,6,1,7,4,2]=>{{1,5,7},{2,3,6},{4}}=>4
[2,6,3,7,1,5,4]=>[7,2,6,5,1,3,4]=>[6,3,7,1,5,4,2]=>{{1,6},{2,3,7},{4},{5}}=>8
[2,6,3,7,4,1,5]=>[4,2,7,6,1,5,3]=>[6,3,1,2,7,5,4]=>{{1,6},{2,3},{4},{5,7}}=>8
[2,6,3,7,4,5,1]=>[5,2,6,7,4,3,1]=>[1,3,7,6,2,4,5]=>{{1},{2,3,7},{4,6},{5}}=>8
[2,6,3,7,5,1,4]=>[5,2,7,1,6,4,3]=>[5,3,1,7,2,6,4]=>{{1,5},{2,3},{4,7},{6}}=>9
[2,6,3,7,5,4,1]=>[4,2,5,7,6,3,1]=>[1,3,7,2,4,6,5]=>{{1},{2,3,7},{4},{5},{6}}=>13
[2,6,4,1,3,5,7]=>[4,2,1,6,3,5,7]=>[4,3,6,2,7,5,1]=>{{1,4},{2,3,6},{5,7}}=>5
[2,6,4,1,3,7,5]=>[4,2,1,6,7,3,5]=>[4,3,7,2,1,5,6]=>{{1,4},{2,3,7},{5},{6}}=>10
[2,6,4,1,5,3,7]=>[4,2,6,5,3,1,7]=>[7,3,6,2,5,4,1]=>{{1,7},{2,3,6},{4},{5}}=>8
[2,6,4,1,5,7,3]=>[4,2,6,7,1,3,5]=>[6,3,7,2,1,4,5]=>{{1,6},{2,3,7},{4},{5}}=>8
[2,6,4,1,7,3,5]=>[4,2,6,7,3,5,1]=>[1,3,6,2,7,4,5]=>{{1},{2,3,6},{4},{5,7}}=>8
[2,6,4,1,7,5,3]=>[4,2,6,5,7,3,1]=>[1,3,7,2,5,4,6]=>{{1},{2,3,7},{4},{5},{6}}=>13
[2,6,4,3,1,5,7]=>[3,2,4,6,1,5,7]=>[6,3,2,4,7,5,1]=>{{1,6},{2,3},{4},{5,7}}=>8
[2,6,4,3,1,7,5]=>[3,2,4,6,7,1,5]=>[7,3,2,4,1,5,6]=>{{1,7},{2,3},{4},{5},{6}}=>13
[2,6,4,3,5,1,7]=>[5,2,4,6,3,1,7]=>[7,3,6,4,2,5,1]=>{{1,7},{2,3,6},{4},{5}}=>8
[2,6,4,3,5,7,1]=>[7,2,4,6,3,5,1]=>[1,3,6,4,7,5,2]=>{{1},{2,3,6},{4},{5,7}}=>8
[2,6,4,3,7,1,5]=>[7,2,4,6,1,3,5]=>[6,3,7,4,1,5,2]=>{{1,6},{2,3,7},{4},{5}}=>8
[2,6,4,3,7,5,1]=>[5,2,4,7,6,1,3]=>[7,3,1,4,2,6,5]=>{{1,7},{2,3},{4},{5},{6}}=>13
[2,6,4,5,1,3,7]=>[5,2,1,6,4,3,7]=>[4,3,7,6,2,5,1]=>{{1,4,6},{2,3,7},{5}}=>5
[2,6,4,5,1,7,3]=>[5,2,7,6,4,1,3]=>[7,3,1,6,2,5,4]=>{{1,7},{2,3},{4,6},{5}}=>8
[2,6,4,5,3,1,7]=>[3,2,5,6,4,1,7]=>[7,3,2,6,4,5,1]=>{{1,7},{2,3},{4,6},{5}}=>8
[2,6,4,5,3,7,1]=>[7,2,5,6,4,3,1]=>[1,3,7,6,4,5,2]=>{{1},{2,3,7},{4,6},{5}}=>8
[2,6,4,5,7,1,3]=>[7,2,1,6,4,5,3]=>[4,3,1,6,7,5,2]=>{{1,4,6},{2,3},{5,7}}=>5
[2,6,4,5,7,3,1]=>[3,2,7,6,4,5,1]=>[1,3,2,6,7,5,4]=>{{1},{2,3},{4,6},{5,7}}=>8
[2,6,4,7,1,3,5]=>[7,2,1,6,3,4,5]=>[4,3,6,7,1,5,2]=>{{1,4,7},{2,3,6},{5}}=>5
[2,6,4,7,1,5,3]=>[7,2,5,6,1,4,3]=>[6,3,1,7,4,5,2]=>{{1,6},{2,3},{4,7},{5}}=>8
[2,6,4,7,3,1,5]=>[3,2,7,6,1,4,5]=>[6,3,2,7,1,5,4]=>{{1,6},{2,3},{4,7},{5}}=>8
[2,6,4,7,3,5,1]=>[5,2,7,6,3,4,1]=>[1,3,6,7,2,5,4]=>{{1},{2,3,6},{4,7},{5}}=>8
[2,6,4,7,5,1,3]=>[5,2,1,7,6,3,4]=>[4,3,7,1,2,6,5]=>{{1,4},{2,3,7},{5},{6}}=>10
[2,6,4,7,5,3,1]=>[3,2,5,7,6,1,4]=>[7,3,2,1,4,6,5]=>{{1,7},{2,3},{4},{5},{6}}=>13
[2,6,5,1,3,4,7]=>[5,2,1,3,6,4,7]=>[4,3,5,7,2,6,1]=>{{1,4,7},{2,3,5},{6}}=>6
[2,6,5,1,3,7,4]=>[5,2,1,6,7,4,3]=>[4,3,1,7,2,5,6]=>{{1,4,7},{2,3},{5},{6}}=>10
[2,6,5,1,4,3,7]=>[5,2,4,1,6,3,7]=>[5,3,7,4,2,6,1]=>{{1,5},{2,3,7},{4},{6}}=>9
[2,6,5,1,4,7,3]=>[5,2,6,1,7,3,4]=>[5,3,7,1,2,4,6]=>{{1,5},{2,3,7},{4},{6}}=>9
[2,6,5,1,7,3,4]=>[5,2,6,3,7,4,1]=>[1,3,5,7,2,4,6]=>{{1},{2,3,5},{4,7},{6}}=>9
[2,6,5,1,7,4,3]=>[5,2,4,6,7,3,1]=>[1,3,7,4,2,5,6]=>{{1},{2,3,7},{4},{5},{6}}=>13
[2,6,5,3,1,4,7]=>[3,2,5,1,6,4,7]=>[5,3,2,7,4,6,1]=>{{1,5},{2,3},{4,7},{6}}=>9
[2,6,5,3,1,7,4]=>[3,2,5,6,7,4,1]=>[1,3,2,7,4,5,6]=>{{1},{2,3},{4,7},{5},{6}}=>13
[2,6,5,3,4,1,7]=>[4,2,5,3,6,1,7]=>[7,3,5,2,4,6,1]=>{{1,7},{2,3,5},{4},{6}}=>9
[2,6,5,3,4,7,1]=>[7,2,5,3,6,4,1]=>[1,3,5,7,4,6,2]=>{{1},{2,3,5},{4,7},{6}}=>9
[2,6,5,3,7,1,4]=>[7,2,5,1,6,3,4]=>[5,3,7,1,4,6,2]=>{{1,5},{2,3,7},{4},{6}}=>9
[2,6,5,3,7,4,1]=>[4,2,7,5,6,1,3]=>[7,3,1,2,5,6,4]=>{{1,7},{2,3},{4},{5},{6}}=>13
[2,6,5,4,1,3,7]=>[4,2,1,5,6,3,7]=>[4,3,7,2,5,6,1]=>{{1,4},{2,3,7},{5},{6}}=>10
[2,6,5,4,1,7,3]=>[4,2,5,6,7,1,3]=>[7,3,1,2,4,5,6]=>{{1,7},{2,3},{4},{5},{6}}=>13
[2,6,5,4,3,1,7]=>[3,2,4,5,6,1,7]=>[7,3,2,4,5,6,1]=>{{1,7},{2,3},{4},{5},{6}}=>13
[2,6,5,4,3,7,1]=>[7,2,4,5,6,3,1]=>[1,3,7,4,5,6,2]=>{{1},{2,3,7},{4},{5},{6}}=>13
[2,6,5,4,7,1,3]=>[7,2,1,5,6,4,3]=>[4,3,1,7,5,6,2]=>{{1,4,7},{2,3},{5},{6}}=>10
[2,6,5,4,7,3,1]=>[3,2,7,5,6,4,1]=>[1,3,2,7,5,6,4]=>{{1},{2,3},{4,7},{5},{6}}=>13
[2,6,5,7,1,3,4]=>[7,2,1,3,6,5,4]=>[4,3,5,1,7,6,2]=>{{1,4},{2,3,5,7},{6}}=>6
[2,6,5,7,1,4,3]=>[7,2,4,1,6,5,3]=>[5,3,1,4,7,6,2]=>{{1,5,7},{2,3},{4},{6}}=>9
[2,6,5,7,3,1,4]=>[3,2,7,1,6,5,4]=>[5,3,2,1,7,6,4]=>{{1,5,7},{2,3},{4},{6}}=>9
[2,6,5,7,3,4,1]=>[4,2,7,3,6,5,1]=>[1,3,5,2,7,6,4]=>{{1},{2,3,5,7},{4},{6}}=>9
[2,6,5,7,4,1,3]=>[4,2,1,7,6,5,3]=>[4,3,1,2,7,6,5]=>{{1,4},{2,3},{5,7},{6}}=>10
[2,6,5,7,4,3,1]=>[3,2,4,7,6,5,1]=>[1,3,2,4,7,6,5]=>{{1},{2,3},{4},{5,7},{6}}=>13
[2,6,7,1,3,4,5]=>[7,2,1,3,4,6,5]=>[4,3,5,6,1,7,2]=>{{1,4,6,7},{2,3,5}}=>1
[2,6,7,1,3,5,4]=>[7,2,1,5,3,6,4]=>[4,3,6,1,5,7,2]=>{{1,4},{2,3,6,7},{5}}=>5
[2,6,7,1,4,3,5]=>[7,2,4,1,3,6,5]=>[5,3,6,4,1,7,2]=>{{1,5},{2,3,6,7},{4}}=>4
[2,6,7,1,4,5,3]=>[7,2,5,1,4,6,3]=>[5,3,1,6,4,7,2]=>{{1,5},{2,3},{4,6,7}}=>4
[2,6,7,1,5,3,4]=>[7,2,5,3,1,6,4]=>[6,3,5,1,4,7,2]=>{{1,6,7},{2,3,5},{4}}=>4
[2,6,7,1,5,4,3]=>[7,2,4,5,1,6,3]=>[6,3,1,4,5,7,2]=>{{1,6,7},{2,3},{4},{5}}=>8
[2,6,7,3,1,4,5]=>[3,2,7,1,4,6,5]=>[5,3,2,6,1,7,4]=>{{1,5},{2,3},{4,6,7}}=>4
[2,6,7,3,1,5,4]=>[3,2,7,5,1,6,4]=>[6,3,2,1,5,7,4]=>{{1,6,7},{2,3},{4},{5}}=>8
[2,6,7,3,4,1,5]=>[4,2,7,3,1,6,5]=>[6,3,5,2,1,7,4]=>{{1,6,7},{2,3,5},{4}}=>4
[2,6,7,3,4,5,1]=>[5,2,7,3,4,6,1]=>[1,3,5,6,2,7,4]=>{{1},{2,3,5},{4,6,7}}=>4
[2,6,7,3,5,1,4]=>[5,2,7,1,3,6,4]=>[5,3,6,1,2,7,4]=>{{1,5},{2,3,6,7},{4}}=>4
[2,6,7,3,5,4,1]=>[4,2,5,7,1,6,3]=>[6,3,1,2,4,7,5]=>{{1,6,7},{2,3},{4},{5}}=>8
[2,6,7,4,1,3,5]=>[4,2,1,7,3,6,5]=>[4,3,6,2,1,7,5]=>{{1,4},{2,3,6,7},{5}}=>5
[2,6,7,4,1,5,3]=>[4,2,7,5,3,6,1]=>[1,3,6,2,5,7,4]=>{{1},{2,3,6,7},{4},{5}}=>8
[2,6,7,4,3,1,5]=>[3,2,4,7,1,6,5]=>[6,3,2,4,1,7,5]=>{{1,6,7},{2,3},{4},{5}}=>8
[2,6,7,4,3,5,1]=>[5,2,4,7,3,6,1]=>[1,3,6,4,2,7,5]=>{{1},{2,3,6,7},{4},{5}}=>8
[2,6,7,4,5,1,3]=>[5,2,1,7,4,6,3]=>[4,3,1,6,2,7,5]=>{{1,4,6,7},{2,3},{5}}=>5
[2,6,7,4,5,3,1]=>[3,2,5,7,4,6,1]=>[1,3,2,6,4,7,5]=>{{1},{2,3},{4,6,7},{5}}=>8
[2,6,7,5,1,3,4]=>[5,2,1,3,7,6,4]=>[4,3,5,1,2,7,6]=>{{1,4},{2,3,5},{6,7}}=>6
[2,6,7,5,1,4,3]=>[5,2,4,1,7,6,3]=>[5,3,1,4,2,7,6]=>{{1,5},{2,3},{4},{6,7}}=>9
[2,6,7,5,3,1,4]=>[3,2,5,1,7,6,4]=>[5,3,2,1,4,7,6]=>{{1,5},{2,3},{4},{6,7}}=>9
[2,6,7,5,3,4,1]=>[4,2,5,3,7,6,1]=>[1,3,5,2,4,7,6]=>{{1},{2,3,5},{4},{6,7}}=>9
[2,6,7,5,4,1,3]=>[4,2,1,5,7,6,3]=>[4,3,1,2,5,7,6]=>{{1,4},{2,3},{5},{6,7}}=>10
[2,6,7,5,4,3,1]=>[3,2,4,5,7,6,1]=>[1,3,2,4,5,7,6]=>{{1},{2,3},{4},{5},{6,7}}=>13
[2,7,1,3,4,5,6]=>[7,2,1,3,4,5,6]=>[4,3,5,6,7,1,2]=>{{1,4,6},{2,3,5,7}}=>1
[2,7,1,3,4,6,5]=>[7,2,1,3,6,4,5]=>[4,3,5,7,1,6,2]=>{{1,4,7},{2,3,5},{6}}=>6
[2,7,1,3,5,4,6]=>[7,2,1,5,3,4,6]=>[4,3,6,7,5,1,2]=>{{1,4,7},{2,3,6},{5}}=>5
[2,7,1,3,5,6,4]=>[7,2,1,6,3,5,4]=>[4,3,6,1,7,5,2]=>{{1,4},{2,3,6},{5,7}}=>5
[2,7,1,3,6,4,5]=>[7,2,1,6,4,3,5]=>[4,3,7,6,1,5,2]=>{{1,4,6},{2,3,7},{5}}=>5
[2,7,1,3,6,5,4]=>[7,2,1,5,6,3,4]=>[4,3,7,1,5,6,2]=>{{1,4},{2,3,7},{5},{6}}=>10
[2,7,1,4,3,5,6]=>[7,2,4,1,3,5,6]=>[5,3,6,4,7,1,2]=>{{1,5,7},{2,3,6},{4}}=>4
[2,7,1,4,3,6,5]=>[7,2,4,1,6,3,5]=>[5,3,7,4,1,6,2]=>{{1,5},{2,3,7},{4},{6}}=>9
[2,7,1,4,5,3,6]=>[7,2,5,1,4,3,6]=>[5,3,7,6,4,1,2]=>{{1,5},{2,3,7},{4,6}}=>4
[2,7,1,4,5,6,3]=>[7,2,6,1,3,4,5]=>[5,3,6,7,1,4,2]=>{{1,5},{2,3,6},{4,7}}=>4
[2,7,1,4,6,3,5]=>[7,2,6,1,4,5,3]=>[5,3,1,6,7,4,2]=>{{1,5,7},{2,3},{4,6}}=>4
[2,7,1,4,6,5,3]=>[7,2,5,1,6,4,3]=>[5,3,1,7,4,6,2]=>{{1,5},{2,3},{4,7},{6}}=>9
[2,7,1,5,3,4,6]=>[7,2,5,3,1,4,6]=>[6,3,5,7,4,1,2]=>{{1,6},{2,3,5},{4,7}}=>4
[2,7,1,5,3,6,4]=>[7,2,5,6,1,3,4]=>[6,3,7,1,4,5,2]=>{{1,6},{2,3,7},{4},{5}}=>8
[2,7,1,5,4,3,6]=>[7,2,4,5,1,3,6]=>[6,3,7,4,5,1,2]=>{{1,6},{2,3,7},{4},{5}}=>8
[2,7,1,5,4,6,3]=>[7,2,6,5,1,4,3]=>[6,3,1,7,5,4,2]=>{{1,6},{2,3},{4,7},{5}}=>8
[2,7,1,5,6,3,4]=>[7,2,6,3,1,5,4]=>[6,3,5,1,7,4,2]=>{{1,6},{2,3,5,7},{4}}=>4
[2,7,1,5,6,4,3]=>[7,2,4,6,1,5,3]=>[6,3,1,4,7,5,2]=>{{1,6},{2,3},{4},{5,7}}=>8
[2,7,1,6,3,4,5]=>[7,2,6,3,4,1,5]=>[7,3,5,6,1,4,2]=>{{1,7},{2,3,5},{4,6}}=>4
[2,7,1,6,3,5,4]=>[7,2,6,5,3,1,4]=>[7,3,6,1,5,4,2]=>{{1,7},{2,3,6},{4},{5}}=>8
[2,7,1,6,4,3,5]=>[7,2,4,6,3,1,5]=>[7,3,6,4,1,5,2]=>{{1,7},{2,3,6},{4},{5}}=>8
[2,7,1,6,4,5,3]=>[7,2,5,6,4,1,3]=>[7,3,1,6,4,5,2]=>{{1,7},{2,3},{4,6},{5}}=>8
[2,7,1,6,5,3,4]=>[7,2,5,3,6,1,4]=>[7,3,5,1,4,6,2]=>{{1,7},{2,3,5},{4},{6}}=>9
[2,7,1,6,5,4,3]=>[7,2,4,5,6,1,3]=>[7,3,1,4,5,6,2]=>{{1,7},{2,3},{4},{5},{6}}=>13
[2,7,3,1,4,5,6]=>[3,2,7,1,4,5,6]=>[5,3,2,6,7,1,4]=>{{1,5,7},{2,3},{4,6}}=>4
[2,7,3,1,4,6,5]=>[3,2,7,1,6,4,5]=>[5,3,2,7,1,6,4]=>{{1,5},{2,3},{4,7},{6}}=>9
[2,7,3,1,5,4,6]=>[3,2,7,5,1,4,6]=>[6,3,2,7,5,1,4]=>{{1,6},{2,3},{4,7},{5}}=>8
[2,7,3,1,5,6,4]=>[3,2,7,6,1,5,4]=>[6,3,2,1,7,5,4]=>{{1,6},{2,3},{4},{5,7}}=>8
[2,7,3,1,6,4,5]=>[3,2,7,6,4,1,5]=>[7,3,2,6,1,5,4]=>{{1,7},{2,3},{4,6},{5}}=>8
[2,7,3,1,6,5,4]=>[3,2,7,5,6,1,4]=>[7,3,2,1,5,6,4]=>{{1,7},{2,3},{4},{5},{6}}=>13
[2,7,3,4,1,5,6]=>[4,2,7,3,1,5,6]=>[6,3,5,2,7,1,4]=>{{1,6},{2,3,5,7},{4}}=>4
[2,7,3,4,1,6,5]=>[4,2,7,3,6,1,5]=>[7,3,5,2,1,6,4]=>{{1,7},{2,3,5},{4},{6}}=>9
[2,7,3,4,5,1,6]=>[5,2,7,3,4,1,6]=>[7,3,5,6,2,1,4]=>{{1,7},{2,3,5},{4,6}}=>4
[2,7,3,4,5,6,1]=>[6,2,7,3,4,5,1]=>[1,3,5,6,7,2,4]=>{{1},{2,3,5,7},{4,6}}=>4
[2,7,3,4,6,1,5]=>[6,2,7,3,1,4,5]=>[6,3,5,7,1,2,4]=>{{1,6},{2,3,5},{4,7}}=>4
[2,7,3,4,6,5,1]=>[5,2,6,3,7,1,4]=>[7,3,5,1,2,4,6]=>{{1,7},{2,3,5},{4},{6}}=>9
[2,7,3,5,1,4,6]=>[5,2,7,1,3,4,6]=>[5,3,6,7,2,1,4]=>{{1,5},{2,3,6},{4,7}}=>4
[2,7,3,5,1,6,4]=>[5,2,7,6,3,1,4]=>[7,3,6,1,2,5,4]=>{{1,7},{2,3,6},{4},{5}}=>8
[2,7,3,5,4,1,6]=>[4,2,5,7,1,3,6]=>[6,3,7,2,4,1,5]=>{{1,6},{2,3,7},{4},{5}}=>8
[2,7,3,5,4,6,1]=>[6,2,7,5,3,4,1]=>[1,3,6,7,5,2,4]=>{{1},{2,3,6},{4,7},{5}}=>8
[2,7,3,5,6,1,4]=>[6,2,7,1,4,3,5]=>[5,3,7,6,1,2,4]=>{{1,5},{2,3,7},{4,6}}=>4
[2,7,3,5,6,4,1]=>[4,2,6,7,3,1,5]=>[7,3,6,2,1,4,5]=>{{1,7},{2,3,6},{4},{5}}=>8
[2,7,3,6,1,4,5]=>[6,2,7,1,3,5,4]=>[5,3,6,1,7,2,4]=>{{1,5,7},{2,3,6},{4}}=>4
[2,7,3,6,1,5,4]=>[6,2,7,5,1,3,4]=>[6,3,7,1,5,2,4]=>{{1,6},{2,3,7},{4},{5}}=>8
[2,7,3,6,4,1,5]=>[4,2,6,7,1,5,3]=>[6,3,1,2,7,4,5]=>{{1,6},{2,3},{4},{5,7}}=>8
[2,7,3,6,4,5,1]=>[5,2,7,6,4,3,1]=>[1,3,7,6,2,5,4]=>{{1},{2,3,7},{4,6},{5}}=>8
[2,7,3,6,5,1,4]=>[5,2,6,1,7,4,3]=>[5,3,1,7,2,4,6]=>{{1,5},{2,3},{4,7},{6}}=>9
[2,7,3,6,5,4,1]=>[4,2,5,6,7,3,1]=>[1,3,7,2,4,5,6]=>{{1},{2,3,7},{4},{5},{6}}=>13
[2,7,4,1,3,5,6]=>[4,2,1,7,3,5,6]=>[4,3,6,2,7,1,5]=>{{1,4},{2,3,6},{5,7}}=>5
[2,7,4,1,3,6,5]=>[4,2,1,7,6,3,5]=>[4,3,7,2,1,6,5]=>{{1,4},{2,3,7},{5},{6}}=>10
[2,7,4,1,5,3,6]=>[4,2,7,5,3,1,6]=>[7,3,6,2,5,1,4]=>{{1,7},{2,3,6},{4},{5}}=>8
[2,7,4,1,5,6,3]=>[4,2,7,6,1,3,5]=>[6,3,7,2,1,5,4]=>{{1,6},{2,3,7},{4},{5}}=>8
[2,7,4,1,6,3,5]=>[4,2,7,6,3,5,1]=>[1,3,6,2,7,5,4]=>{{1},{2,3,6},{4},{5,7}}=>8
[2,7,4,1,6,5,3]=>[4,2,7,5,6,3,1]=>[1,3,7,2,5,6,4]=>{{1},{2,3,7},{4},{5},{6}}=>13
[2,7,4,3,1,5,6]=>[3,2,4,7,1,5,6]=>[6,3,2,4,7,1,5]=>{{1,6},{2,3},{4},{5,7}}=>8
[2,7,4,3,1,6,5]=>[3,2,4,7,6,1,5]=>[7,3,2,4,1,6,5]=>{{1,7},{2,3},{4},{5},{6}}=>13
[2,7,4,3,5,1,6]=>[5,2,4,7,3,1,6]=>[7,3,6,4,2,1,5]=>{{1,7},{2,3,6},{4},{5}}=>8
[2,7,4,3,5,6,1]=>[6,2,4,7,3,5,1]=>[1,3,6,4,7,2,5]=>{{1},{2,3,6},{4},{5,7}}=>8
[2,7,4,3,6,1,5]=>[6,2,4,7,1,3,5]=>[6,3,7,4,1,2,5]=>{{1,6},{2,3,7},{4},{5}}=>8
[2,7,4,3,6,5,1]=>[5,2,4,6,7,1,3]=>[7,3,1,4,2,5,6]=>{{1,7},{2,3},{4},{5},{6}}=>13
[2,7,4,5,1,3,6]=>[5,2,1,7,4,3,6]=>[4,3,7,6,2,1,5]=>{{1,4,6},{2,3,7},{5}}=>5
[2,7,4,5,1,6,3]=>[5,2,6,7,4,1,3]=>[7,3,1,6,2,4,5]=>{{1,7},{2,3},{4,6},{5}}=>8
[2,7,4,5,3,1,6]=>[3,2,5,7,4,1,6]=>[7,3,2,6,4,1,5]=>{{1,7},{2,3},{4,6},{5}}=>8
[2,7,4,5,3,6,1]=>[6,2,5,7,4,3,1]=>[1,3,7,6,4,2,5]=>{{1},{2,3,7},{4,6},{5}}=>8
[2,7,4,5,6,1,3]=>[6,2,1,7,4,5,3]=>[4,3,1,6,7,2,5]=>{{1,4,6},{2,3},{5,7}}=>5
[2,7,4,5,6,3,1]=>[3,2,6,7,4,5,1]=>[1,3,2,6,7,4,5]=>{{1},{2,3},{4,6},{5,7}}=>8
[2,7,4,6,1,3,5]=>[6,2,1,7,3,4,5]=>[4,3,6,7,1,2,5]=>{{1,4,7},{2,3,6},{5}}=>5
[2,7,4,6,1,5,3]=>[6,2,5,7,1,4,3]=>[6,3,1,7,4,2,5]=>{{1,6},{2,3},{4,7},{5}}=>8
[2,7,4,6,3,1,5]=>[3,2,6,7,1,4,5]=>[6,3,2,7,1,4,5]=>{{1,6},{2,3},{4,7},{5}}=>8
[2,7,4,6,3,5,1]=>[5,2,6,7,3,4,1]=>[1,3,6,7,2,4,5]=>{{1},{2,3,6},{4,7},{5}}=>8
[2,7,4,6,5,1,3]=>[5,2,1,6,7,3,4]=>[4,3,7,1,2,5,6]=>{{1,4},{2,3,7},{5},{6}}=>10
[2,7,4,6,5,3,1]=>[3,2,5,6,7,1,4]=>[7,3,2,1,4,5,6]=>{{1,7},{2,3},{4},{5},{6}}=>13
[2,7,5,1,3,4,6]=>[5,2,1,3,7,4,6]=>[4,3,5,7,2,1,6]=>{{1,4,7},{2,3,5},{6}}=>6
[2,7,5,1,3,6,4]=>[5,2,1,7,6,4,3]=>[4,3,1,7,2,6,5]=>{{1,4,7},{2,3},{5},{6}}=>10
[2,7,5,1,4,3,6]=>[5,2,4,1,7,3,6]=>[5,3,7,4,2,1,6]=>{{1,5},{2,3,7},{4},{6}}=>9
[2,7,5,1,4,6,3]=>[5,2,7,1,6,3,4]=>[5,3,7,1,2,6,4]=>{{1,5},{2,3,7},{4},{6}}=>9
[2,7,5,1,6,3,4]=>[5,2,7,3,6,4,1]=>[1,3,5,7,2,6,4]=>{{1},{2,3,5},{4,7},{6}}=>9
[2,7,5,1,6,4,3]=>[5,2,4,7,6,3,1]=>[1,3,7,4,2,6,5]=>{{1},{2,3,7},{4},{5},{6}}=>13
[2,7,5,3,1,4,6]=>[3,2,5,1,7,4,6]=>[5,3,2,7,4,1,6]=>{{1,5},{2,3},{4,7},{6}}=>9
[2,7,5,3,1,6,4]=>[3,2,5,7,6,4,1]=>[1,3,2,7,4,6,5]=>{{1},{2,3},{4,7},{5},{6}}=>13
[2,7,5,3,4,1,6]=>[4,2,5,3,7,1,6]=>[7,3,5,2,4,1,6]=>{{1,7},{2,3,5},{4},{6}}=>9
[2,7,5,3,4,6,1]=>[6,2,5,3,7,4,1]=>[1,3,5,7,4,2,6]=>{{1},{2,3,5},{4,7},{6}}=>9
[2,7,5,3,6,1,4]=>[6,2,5,1,7,3,4]=>[5,3,7,1,4,2,6]=>{{1,5},{2,3,7},{4},{6}}=>9
[2,7,5,3,6,4,1]=>[4,2,6,5,7,1,3]=>[7,3,1,2,5,4,6]=>{{1,7},{2,3},{4},{5},{6}}=>13
[2,7,5,4,1,3,6]=>[4,2,1,5,7,3,6]=>[4,3,7,2,5,1,6]=>{{1,4},{2,3,7},{5},{6}}=>10
[2,7,5,4,1,6,3]=>[4,2,5,7,6,1,3]=>[7,3,1,2,4,6,5]=>{{1,7},{2,3},{4},{5},{6}}=>13
[2,7,5,4,3,1,6]=>[3,2,4,5,7,1,6]=>[7,3,2,4,5,1,6]=>{{1,7},{2,3},{4},{5},{6}}=>13
[2,7,5,4,3,6,1]=>[6,2,4,5,7,3,1]=>[1,3,7,4,5,2,6]=>{{1},{2,3,7},{4},{5},{6}}=>13
[2,7,5,4,6,1,3]=>[6,2,1,5,7,4,3]=>[4,3,1,7,5,2,6]=>{{1,4,7},{2,3},{5},{6}}=>10
[2,7,5,4,6,3,1]=>[3,2,6,5,7,4,1]=>[1,3,2,7,5,4,6]=>{{1},{2,3},{4,7},{5},{6}}=>13
[2,7,5,6,1,3,4]=>[6,2,1,3,7,5,4]=>[4,3,5,1,7,2,6]=>{{1,4},{2,3,5,7},{6}}=>6
[2,7,5,6,1,4,3]=>[6,2,4,1,7,5,3]=>[5,3,1,4,7,2,6]=>{{1,5,7},{2,3},{4},{6}}=>9
[2,7,5,6,3,1,4]=>[3,2,6,1,7,5,4]=>[5,3,2,1,7,4,6]=>{{1,5,7},{2,3},{4},{6}}=>9
[2,7,5,6,3,4,1]=>[4,2,6,3,7,5,1]=>[1,3,5,2,7,4,6]=>{{1},{2,3,5,7},{4},{6}}=>9
[2,7,5,6,4,1,3]=>[4,2,1,6,7,5,3]=>[4,3,1,2,7,5,6]=>{{1,4},{2,3},{5,7},{6}}=>10
[2,7,5,6,4,3,1]=>[3,2,4,6,7,5,1]=>[1,3,2,4,7,5,6]=>{{1},{2,3},{4},{5,7},{6}}=>13
[2,7,6,1,3,4,5]=>[6,2,1,3,4,7,5]=>[4,3,5,6,1,2,7]=>{{1,4,6},{2,3,5},{7}}=>7
[2,7,6,1,3,5,4]=>[6,2,1,5,3,7,4]=>[4,3,6,1,5,2,7]=>{{1,4},{2,3,6},{5},{7}}=>11
[2,7,6,1,4,3,5]=>[6,2,4,1,3,7,5]=>[5,3,6,4,1,2,7]=>{{1,5},{2,3,6},{4},{7}}=>10
[2,7,6,1,4,5,3]=>[6,2,5,1,4,7,3]=>[5,3,1,6,4,2,7]=>{{1,5},{2,3},{4,6},{7}}=>10
[2,7,6,1,5,3,4]=>[6,2,5,3,1,7,4]=>[6,3,5,1,4,2,7]=>{{1,6},{2,3,5},{4},{7}}=>10
[2,7,6,1,5,4,3]=>[6,2,4,5,1,7,3]=>[6,3,1,4,5,2,7]=>{{1,6},{2,3},{4},{5},{7}}=>14
[2,7,6,3,1,4,5]=>[3,2,6,1,4,7,5]=>[5,3,2,6,1,4,7]=>{{1,5},{2,3},{4,6},{7}}=>10
[2,7,6,3,1,5,4]=>[3,2,6,5,1,7,4]=>[6,3,2,1,5,4,7]=>{{1,6},{2,3},{4},{5},{7}}=>14
[2,7,6,3,4,1,5]=>[4,2,6,3,1,7,5]=>[6,3,5,2,1,4,7]=>{{1,6},{2,3,5},{4},{7}}=>10
[2,7,6,3,4,5,1]=>[5,2,6,3,4,7,1]=>[1,3,5,6,2,4,7]=>{{1},{2,3,5},{4,6},{7}}=>10
[2,7,6,3,5,1,4]=>[5,2,6,1,3,7,4]=>[5,3,6,1,2,4,7]=>{{1,5},{2,3,6},{4},{7}}=>10
[2,7,6,3,5,4,1]=>[4,2,5,6,1,7,3]=>[6,3,1,2,4,5,7]=>{{1,6},{2,3},{4},{5},{7}}=>14
[2,7,6,4,1,3,5]=>[4,2,1,6,3,7,5]=>[4,3,6,2,1,5,7]=>{{1,4},{2,3,6},{5},{7}}=>11
[2,7,6,4,1,5,3]=>[4,2,6,5,3,7,1]=>[1,3,6,2,5,4,7]=>{{1},{2,3,6},{4},{5},{7}}=>14
[2,7,6,4,3,1,5]=>[3,2,4,6,1,7,5]=>[6,3,2,4,1,5,7]=>{{1,6},{2,3},{4},{5},{7}}=>14
[2,7,6,4,3,5,1]=>[5,2,4,6,3,7,1]=>[1,3,6,4,2,5,7]=>{{1},{2,3,6},{4},{5},{7}}=>14
[2,7,6,4,5,1,3]=>[5,2,1,6,4,7,3]=>[4,3,1,6,2,5,7]=>{{1,4,6},{2,3},{5},{7}}=>11
[2,7,6,4,5,3,1]=>[3,2,5,6,4,7,1]=>[1,3,2,6,4,5,7]=>{{1},{2,3},{4,6},{5},{7}}=>14
[2,7,6,5,1,3,4]=>[5,2,1,3,6,7,4]=>[4,3,5,1,2,6,7]=>{{1,4},{2,3,5},{6},{7}}=>12
[2,7,6,5,1,4,3]=>[5,2,4,1,6,7,3]=>[5,3,1,4,2,6,7]=>{{1,5},{2,3},{4},{6},{7}}=>15
[2,7,6,5,3,1,4]=>[3,2,5,1,6,7,4]=>[5,3,2,1,4,6,7]=>{{1,5},{2,3},{4},{6},{7}}=>15
[2,7,6,5,3,4,1]=>[4,2,5,3,6,7,1]=>[1,3,5,2,4,6,7]=>{{1},{2,3,5},{4},{6},{7}}=>15
[2,7,6,5,4,1,3]=>[4,2,1,5,6,7,3]=>[4,3,1,2,5,6,7]=>{{1,4},{2,3},{5},{6},{7}}=>16
[2,7,6,5,4,3,1]=>[3,2,4,5,6,7,1]=>[1,3,2,4,5,6,7]=>{{1},{2,3},{4},{5},{6},{7}}=>19
[3,1,2,4,5,6,7]=>[3,1,2,4,5,6,7]=>[3,4,2,5,6,7,1]=>{{1,3},{2,4,5,6,7}}=>1
[3,1,2,4,5,7,6]=>[3,1,2,4,5,7,6]=>[3,4,2,5,6,1,7]=>{{1,3},{2,4,5,6},{7}}=>7
[3,1,2,4,6,5,7]=>[3,1,2,4,6,5,7]=>[3,4,2,5,7,6,1]=>{{1,3},{2,4,5,7},{6}}=>6
[3,1,2,4,6,7,5]=>[3,1,2,4,7,6,5]=>[3,4,2,5,1,7,6]=>{{1,3},{2,4,5},{6,7}}=>6
[3,1,2,4,7,5,6]=>[3,1,2,4,7,5,6]=>[3,4,2,5,7,1,6]=>{{1,3},{2,4,5,7},{6}}=>6
[3,1,2,4,7,6,5]=>[3,1,2,4,6,7,5]=>[3,4,2,5,1,6,7]=>{{1,3},{2,4,5},{6},{7}}=>12
[3,1,2,5,4,6,7]=>[3,1,2,5,4,6,7]=>[3,4,2,6,5,7,1]=>{{1,3},{2,4,6,7},{5}}=>5
[3,1,2,5,4,7,6]=>[3,1,2,5,4,7,6]=>[3,4,2,6,5,1,7]=>{{1,3},{2,4,6},{5},{7}}=>11
[3,1,2,5,6,4,7]=>[3,1,2,6,5,4,7]=>[3,4,2,7,6,5,1]=>{{1,3},{2,4,7},{5,6}}=>5
[3,1,2,5,6,7,4]=>[3,1,2,7,5,6,4]=>[3,4,2,1,6,7,5]=>{{1,3},{2,4},{5,6,7}}=>5
[3,1,2,5,7,4,6]=>[3,1,2,7,5,4,6]=>[3,4,2,7,6,1,5]=>{{1,3},{2,4,7},{5,6}}=>5
[3,1,2,5,7,6,4]=>[3,1,2,6,5,7,4]=>[3,4,2,1,6,5,7]=>{{1,3},{2,4},{5,6},{7}}=>11
[3,1,2,6,4,5,7]=>[3,1,2,6,4,5,7]=>[3,4,2,6,7,5,1]=>{{1,3},{2,4,6},{5,7}}=>5
[3,1,2,6,4,7,5]=>[3,1,2,6,7,4,5]=>[3,4,2,7,1,5,6]=>{{1,3},{2,4,7},{5},{6}}=>10
[3,1,2,6,5,4,7]=>[3,1,2,5,6,4,7]=>[3,4,2,7,5,6,1]=>{{1,3},{2,4,7},{5},{6}}=>10
[3,1,2,6,5,7,4]=>[3,1,2,7,6,5,4]=>[3,4,2,1,7,6,5]=>{{1,3},{2,4},{5,7},{6}}=>10
[3,1,2,6,7,4,5]=>[3,1,2,7,4,6,5]=>[3,4,2,6,1,7,5]=>{{1,3},{2,4,6,7},{5}}=>5
[3,1,2,6,7,5,4]=>[3,1,2,5,7,6,4]=>[3,4,2,1,5,7,6]=>{{1,3},{2,4},{5},{6,7}}=>10
[3,1,2,7,4,5,6]=>[3,1,2,7,4,5,6]=>[3,4,2,6,7,1,5]=>{{1,3},{2,4,6},{5,7}}=>5
[3,1,2,7,4,6,5]=>[3,1,2,7,6,4,5]=>[3,4,2,7,1,6,5]=>{{1,3},{2,4,7},{5},{6}}=>10
[3,1,2,7,5,4,6]=>[3,1,2,5,7,4,6]=>[3,4,2,7,5,1,6]=>{{1,3},{2,4,7},{5},{6}}=>10
[3,1,2,7,5,6,4]=>[3,1,2,6,7,5,4]=>[3,4,2,1,7,5,6]=>{{1,3},{2,4},{5,7},{6}}=>10
[3,1,2,7,6,4,5]=>[3,1,2,6,4,7,5]=>[3,4,2,6,1,5,7]=>{{1,3},{2,4,6},{5},{7}}=>11
[3,1,2,7,6,5,4]=>[3,1,2,5,6,7,4]=>[3,4,2,1,5,6,7]=>{{1,3},{2,4},{5},{6},{7}}=>16
[3,1,4,2,5,6,7]=>[3,4,1,2,5,6,7]=>[4,5,2,3,6,7,1]=>{{1,4},{2,5,6,7},{3}}=>3
[3,1,4,2,5,7,6]=>[3,4,1,2,5,7,6]=>[4,5,2,3,6,1,7]=>{{1,4},{2,5,6},{3},{7}}=>9
[3,1,4,2,6,5,7]=>[3,4,1,2,6,5,7]=>[4,5,2,3,7,6,1]=>{{1,4},{2,5,7},{3},{6}}=>8
[3,1,4,2,6,7,5]=>[3,4,1,2,7,6,5]=>[4,5,2,3,1,7,6]=>{{1,4},{2,5},{3},{6,7}}=>8
[3,1,4,2,7,5,6]=>[3,4,1,2,7,5,6]=>[4,5,2,3,7,1,6]=>{{1,4},{2,5,7},{3},{6}}=>8
[3,1,4,2,7,6,5]=>[3,4,1,2,6,7,5]=>[4,5,2,3,1,6,7]=>{{1,4},{2,5},{3},{6},{7}}=>14
[3,1,4,5,2,6,7]=>[3,5,1,4,2,6,7]=>[4,6,2,5,3,7,1]=>{{1,4,5},{2,6,7},{3}}=>3
[3,1,4,5,2,7,6]=>[3,5,1,4,2,7,6]=>[4,6,2,5,3,1,7]=>{{1,4,5},{2,6},{3},{7}}=>9
[3,1,4,5,6,2,7]=>[3,6,1,4,5,2,7]=>[4,7,2,5,6,3,1]=>{{1,4,5,6},{2,7},{3}}=>3
[3,1,4,5,6,7,2]=>[3,7,1,4,5,6,2]=>[4,1,2,5,6,7,3]=>{{1,4,5,6,7},{2},{3}}=>3
[3,1,4,5,7,2,6]=>[3,7,1,4,5,2,6]=>[4,7,2,5,6,1,3]=>{{1,4,5,6},{2,7},{3}}=>3
[3,1,4,5,7,6,2]=>[3,6,1,4,5,7,2]=>[4,1,2,5,6,3,7]=>{{1,4,5,6},{2},{3},{7}}=>9
[3,1,4,6,2,5,7]=>[3,6,1,4,2,5,7]=>[4,6,2,5,7,3,1]=>{{1,4,5,7},{2,6},{3}}=>3
[3,1,4,6,2,7,5]=>[3,6,1,4,7,2,5]=>[4,7,2,5,1,3,6]=>{{1,4,5},{2,7},{3},{6}}=>8
[3,1,4,6,5,2,7]=>[3,5,1,4,6,2,7]=>[4,7,2,5,3,6,1]=>{{1,4,5},{2,7},{3},{6}}=>8
[3,1,4,6,5,7,2]=>[3,7,1,4,6,5,2]=>[4,1,2,5,7,6,3]=>{{1,4,5,7},{2},{3},{6}}=>8
[3,1,4,6,7,2,5]=>[3,7,1,4,2,6,5]=>[4,6,2,5,1,7,3]=>{{1,4,5},{2,6,7},{3}}=>3
[3,1,4,6,7,5,2]=>[3,5,1,4,7,6,2]=>[4,1,2,5,3,7,6]=>{{1,4,5},{2},{3},{6,7}}=>8
[3,1,4,7,2,5,6]=>[3,7,1,4,2,5,6]=>[4,6,2,5,7,1,3]=>{{1,4,5,7},{2,6},{3}}=>3
[3,1,4,7,2,6,5]=>[3,7,1,4,6,2,5]=>[4,7,2,5,1,6,3]=>{{1,4,5},{2,7},{3},{6}}=>8
[3,1,4,7,5,2,6]=>[3,5,1,4,7,2,6]=>[4,7,2,5,3,1,6]=>{{1,4,5},{2,7},{3},{6}}=>8
[3,1,4,7,5,6,2]=>[3,6,1,4,7,5,2]=>[4,1,2,5,7,3,6]=>{{1,4,5,7},{2},{3},{6}}=>8
[3,1,4,7,6,2,5]=>[3,6,1,4,2,7,5]=>[4,6,2,5,1,3,7]=>{{1,4,5},{2,6},{3},{7}}=>9
[3,1,4,7,6,5,2]=>[3,5,1,4,6,7,2]=>[4,1,2,5,3,6,7]=>{{1,4,5},{2},{3},{6},{7}}=>14
[3,1,5,2,4,6,7]=>[3,5,1,2,4,6,7]=>[4,5,2,6,3,7,1]=>{{1,4,6,7},{2,5},{3}}=>3
[3,1,5,2,4,7,6]=>[3,5,1,2,4,7,6]=>[4,5,2,6,3,1,7]=>{{1,4,6},{2,5},{3},{7}}=>9
[3,1,5,2,6,4,7]=>[3,5,1,6,2,4,7]=>[4,6,2,7,3,5,1]=>{{1,4,7},{2,6},{3},{5}}=>7
[3,1,5,2,6,7,4]=>[3,5,1,7,2,6,4]=>[4,6,2,1,3,7,5]=>{{1,4},{2,6,7},{3},{5}}=>7
[3,1,5,2,7,4,6]=>[3,5,1,7,2,4,6]=>[4,6,2,7,3,1,5]=>{{1,4,7},{2,6},{3},{5}}=>7
[3,1,5,2,7,6,4]=>[3,5,1,6,2,7,4]=>[4,6,2,1,3,5,7]=>{{1,4},{2,6},{3},{5},{7}}=>13
[3,1,5,4,2,6,7]=>[3,4,1,5,2,6,7]=>[4,6,2,3,5,7,1]=>{{1,4},{2,6,7},{3},{5}}=>7
[3,1,5,4,2,7,6]=>[3,4,1,5,2,7,6]=>[4,6,2,3,5,1,7]=>{{1,4},{2,6},{3},{5},{7}}=>13
[3,1,5,4,6,2,7]=>[3,6,1,5,4,2,7]=>[4,7,2,6,5,3,1]=>{{1,4,6},{2,7},{3},{5}}=>7
[3,1,5,4,6,7,2]=>[3,7,1,5,4,6,2]=>[4,1,2,6,5,7,3]=>{{1,4,6,7},{2},{3},{5}}=>7
[3,1,5,4,7,2,6]=>[3,7,1,5,4,2,6]=>[4,7,2,6,5,1,3]=>{{1,4,6},{2,7},{3},{5}}=>7
[3,1,5,4,7,6,2]=>[3,6,1,5,4,7,2]=>[4,1,2,6,5,3,7]=>{{1,4,6},{2},{3},{5},{7}}=>13
[3,1,5,6,2,4,7]=>[3,6,1,2,5,4,7]=>[4,5,2,7,6,3,1]=>{{1,4,7},{2,5,6},{3}}=>3
[3,1,5,6,2,7,4]=>[3,6,1,7,5,2,4]=>[4,7,2,1,6,3,5]=>{{1,4},{2,7},{3},{5,6}}=>7
[3,1,5,6,4,2,7]=>[3,4,1,6,5,2,7]=>[4,7,2,3,6,5,1]=>{{1,4},{2,7},{3},{5,6}}=>7
[3,1,5,6,4,7,2]=>[3,7,1,6,5,4,2]=>[4,1,2,7,6,5,3]=>{{1,4,7},{2},{3},{5,6}}=>7
[3,1,5,6,7,2,4]=>[3,7,1,2,5,6,4]=>[4,5,2,1,6,7,3]=>{{1,4},{2,5,6,7},{3}}=>3
[3,1,5,6,7,4,2]=>[3,4,1,7,5,6,2]=>[4,1,2,3,6,7,5]=>{{1,4},{2},{3},{5,6,7}}=>7
[3,1,5,7,2,4,6]=>[3,7,1,2,5,4,6]=>[4,5,2,7,6,1,3]=>{{1,4,7},{2,5,6},{3}}=>3
[3,1,5,7,2,6,4]=>[3,7,1,6,5,2,4]=>[4,7,2,1,6,5,3]=>{{1,4},{2,7},{3},{5,6}}=>7
[3,1,5,7,4,2,6]=>[3,4,1,7,5,2,6]=>[4,7,2,3,6,1,5]=>{{1,4},{2,7},{3},{5,6}}=>7
[3,1,5,7,4,6,2]=>[3,6,1,7,5,4,2]=>[4,1,2,7,6,3,5]=>{{1,4,7},{2},{3},{5,6}}=>7
[3,1,5,7,6,2,4]=>[3,6,1,2,5,7,4]=>[4,5,2,1,6,3,7]=>{{1,4},{2,5,6},{3},{7}}=>9
[3,1,5,7,6,4,2]=>[3,4,1,6,5,7,2]=>[4,1,2,3,6,5,7]=>{{1,4},{2},{3},{5,6},{7}}=>13
[3,1,6,2,4,5,7]=>[3,6,1,2,4,5,7]=>[4,5,2,6,7,3,1]=>{{1,4,6},{2,5,7},{3}}=>3
[3,1,6,2,4,7,5]=>[3,6,1,2,7,4,5]=>[4,5,2,7,1,3,6]=>{{1,4,7},{2,5},{3},{6}}=>8
[3,1,6,2,5,4,7]=>[3,6,1,5,2,4,7]=>[4,6,2,7,5,3,1]=>{{1,4,7},{2,6},{3},{5}}=>7
[3,1,6,2,5,7,4]=>[3,6,1,7,2,5,4]=>[4,6,2,1,7,3,5]=>{{1,4},{2,6},{3},{5,7}}=>7
[3,1,6,2,7,4,5]=>[3,6,1,7,4,2,5]=>[4,7,2,6,1,3,5]=>{{1,4,6},{2,7},{3},{5}}=>7
[3,1,6,2,7,5,4]=>[3,6,1,5,7,2,4]=>[4,7,2,1,5,3,6]=>{{1,4},{2,7},{3},{5},{6}}=>12
[3,1,6,4,2,5,7]=>[3,4,1,6,2,5,7]=>[4,6,2,3,7,5,1]=>{{1,4},{2,6},{3},{5,7}}=>7
[3,1,6,4,2,7,5]=>[3,4,1,6,7,2,5]=>[4,7,2,3,1,5,6]=>{{1,4},{2,7},{3},{5},{6}}=>12
[3,1,6,4,5,2,7]=>[3,5,1,6,4,2,7]=>[4,7,2,6,3,5,1]=>{{1,4,6},{2,7},{3},{5}}=>7
[3,1,6,4,5,7,2]=>[3,7,1,6,4,5,2]=>[4,1,2,6,7,5,3]=>{{1,4,6},{2},{3},{5,7}}=>7
[3,1,6,4,7,2,5]=>[3,7,1,6,2,4,5]=>[4,6,2,7,1,5,3]=>{{1,4,7},{2,6},{3},{5}}=>7
[3,1,6,4,7,5,2]=>[3,5,1,7,6,2,4]=>[4,7,2,1,3,6,5]=>{{1,4},{2,7},{3},{5},{6}}=>12
[3,1,6,5,2,4,7]=>[3,5,1,2,6,4,7]=>[4,5,2,7,3,6,1]=>{{1,4,7},{2,5},{3},{6}}=>8
[3,1,6,5,2,7,4]=>[3,5,1,6,7,4,2]=>[4,1,2,7,3,5,6]=>{{1,4,7},{2},{3},{5},{6}}=>12
[3,1,6,5,4,2,7]=>[3,4,1,5,6,2,7]=>[4,7,2,3,5,6,1]=>{{1,4},{2,7},{3},{5},{6}}=>12
[3,1,6,5,4,7,2]=>[3,7,1,5,6,4,2]=>[4,1,2,7,5,6,3]=>{{1,4,7},{2},{3},{5},{6}}=>12
[3,1,6,5,7,2,4]=>[3,7,1,2,6,5,4]=>[4,5,2,1,7,6,3]=>{{1,4},{2,5,7},{3},{6}}=>8
[3,1,6,5,7,4,2]=>[3,4,1,7,6,5,2]=>[4,1,2,3,7,6,5]=>{{1,4},{2},{3},{5,7},{6}}=>12
[3,1,6,7,2,4,5]=>[3,7,1,2,4,6,5]=>[4,5,2,6,1,7,3]=>{{1,4,6,7},{2,5},{3}}=>3
[3,1,6,7,2,5,4]=>[3,7,1,5,2,6,4]=>[4,6,2,1,5,7,3]=>{{1,4},{2,6,7},{3},{5}}=>7
[3,1,6,7,4,2,5]=>[3,4,1,7,2,6,5]=>[4,6,2,3,1,7,5]=>{{1,4},{2,6,7},{3},{5}}=>7
[3,1,6,7,4,5,2]=>[3,5,1,7,4,6,2]=>[4,1,2,6,3,7,5]=>{{1,4,6,7},{2},{3},{5}}=>7
[3,1,6,7,5,2,4]=>[3,5,1,2,7,6,4]=>[4,5,2,1,3,7,6]=>{{1,4},{2,5},{3},{6,7}}=>8
[3,1,6,7,5,4,2]=>[3,4,1,5,7,6,2]=>[4,1,2,3,5,7,6]=>{{1,4},{2},{3},{5},{6,7}}=>12
[3,1,7,2,4,5,6]=>[3,7,1,2,4,5,6]=>[4,5,2,6,7,1,3]=>{{1,4,6},{2,5,7},{3}}=>3
[3,1,7,2,4,6,5]=>[3,7,1,2,6,4,5]=>[4,5,2,7,1,6,3]=>{{1,4,7},{2,5},{3},{6}}=>8
[3,1,7,2,5,4,6]=>[3,7,1,5,2,4,6]=>[4,6,2,7,5,1,3]=>{{1,4,7},{2,6},{3},{5}}=>7
[3,1,7,2,5,6,4]=>[3,7,1,6,2,5,4]=>[4,6,2,1,7,5,3]=>{{1,4},{2,6},{3},{5,7}}=>7
[3,1,7,2,6,4,5]=>[3,7,1,6,4,2,5]=>[4,7,2,6,1,5,3]=>{{1,4,6},{2,7},{3},{5}}=>7
[3,1,7,2,6,5,4]=>[3,7,1,5,6,2,4]=>[4,7,2,1,5,6,3]=>{{1,4},{2,7},{3},{5},{6}}=>12
[3,1,7,4,2,5,6]=>[3,4,1,7,2,5,6]=>[4,6,2,3,7,1,5]=>{{1,4},{2,6},{3},{5,7}}=>7
[3,1,7,4,2,6,5]=>[3,4,1,7,6,2,5]=>[4,7,2,3,1,6,5]=>{{1,4},{2,7},{3},{5},{6}}=>12
[3,1,7,4,5,2,6]=>[3,5,1,7,4,2,6]=>[4,7,2,6,3,1,5]=>{{1,4,6},{2,7},{3},{5}}=>7
[3,1,7,4,5,6,2]=>[3,6,1,7,4,5,2]=>[4,1,2,6,7,3,5]=>{{1,4,6},{2},{3},{5,7}}=>7
[3,1,7,4,6,2,5]=>[3,6,1,7,2,4,5]=>[4,6,2,7,1,3,5]=>{{1,4,7},{2,6},{3},{5}}=>7
[3,1,7,4,6,5,2]=>[3,5,1,6,7,2,4]=>[4,7,2,1,3,5,6]=>{{1,4},{2,7},{3},{5},{6}}=>12
[3,1,7,5,2,4,6]=>[3,5,1,2,7,4,6]=>[4,5,2,7,3,1,6]=>{{1,4,7},{2,5},{3},{6}}=>8
[3,1,7,5,2,6,4]=>[3,5,1,7,6,4,2]=>[4,1,2,7,3,6,5]=>{{1,4,7},{2},{3},{5},{6}}=>12
[3,1,7,5,4,2,6]=>[3,4,1,5,7,2,6]=>[4,7,2,3,5,1,6]=>{{1,4},{2,7},{3},{5},{6}}=>12
[3,1,7,5,4,6,2]=>[3,6,1,5,7,4,2]=>[4,1,2,7,5,3,6]=>{{1,4,7},{2},{3},{5},{6}}=>12
[3,1,7,5,6,2,4]=>[3,6,1,2,7,5,4]=>[4,5,2,1,7,3,6]=>{{1,4},{2,5,7},{3},{6}}=>8
[3,1,7,5,6,4,2]=>[3,4,1,6,7,5,2]=>[4,1,2,3,7,5,6]=>{{1,4},{2},{3},{5,7},{6}}=>12
[3,1,7,6,2,4,5]=>[3,6,1,2,4,7,5]=>[4,5,2,6,1,3,7]=>{{1,4,6},{2,5},{3},{7}}=>9
[3,1,7,6,2,5,4]=>[3,6,1,5,2,7,4]=>[4,6,2,1,5,3,7]=>{{1,4},{2,6},{3},{5},{7}}=>13
[3,1,7,6,4,2,5]=>[3,4,1,6,2,7,5]=>[4,6,2,3,1,5,7]=>{{1,4},{2,6},{3},{5},{7}}=>13
[3,1,7,6,4,5,2]=>[3,5,1,6,4,7,2]=>[4,1,2,6,3,5,7]=>{{1,4,6},{2},{3},{5},{7}}=>13
[3,1,7,6,5,2,4]=>[3,5,1,2,6,7,4]=>[4,5,2,1,3,6,7]=>{{1,4},{2,5},{3},{6},{7}}=>14
[3,1,7,6,5,4,2]=>[3,4,1,5,6,7,2]=>[4,1,2,3,5,6,7]=>{{1,4},{2},{3},{5},{6},{7}}=>18
[3,2,1,4,5,6,7]=>[2,3,1,4,5,6,7]=>[4,2,3,5,6,7,1]=>{{1,4,5,6,7},{2},{3}}=>3
[3,2,1,4,5,7,6]=>[2,3,1,4,5,7,6]=>[4,2,3,5,6,1,7]=>{{1,4,5,6},{2},{3},{7}}=>9
[3,2,1,4,6,5,7]=>[2,3,1,4,6,5,7]=>[4,2,3,5,7,6,1]=>{{1,4,5,7},{2},{3},{6}}=>8
[3,2,1,4,6,7,5]=>[2,3,1,4,7,6,5]=>[4,2,3,5,1,7,6]=>{{1,4,5},{2},{3},{6,7}}=>8
[3,2,1,4,7,5,6]=>[2,3,1,4,7,5,6]=>[4,2,3,5,7,1,6]=>{{1,4,5,7},{2},{3},{6}}=>8
[3,2,1,4,7,6,5]=>[2,3,1,4,6,7,5]=>[4,2,3,5,1,6,7]=>{{1,4,5},{2},{3},{6},{7}}=>14
[3,2,1,5,4,6,7]=>[2,3,1,5,4,6,7]=>[4,2,3,6,5,7,1]=>{{1,4,6,7},{2},{3},{5}}=>7
[3,2,1,5,4,7,6]=>[2,3,1,5,4,7,6]=>[4,2,3,6,5,1,7]=>{{1,4,6},{2},{3},{5},{7}}=>13
[3,2,1,5,6,4,7]=>[2,3,1,6,5,4,7]=>[4,2,3,7,6,5,1]=>{{1,4,7},{2},{3},{5,6}}=>7
[3,2,1,5,6,7,4]=>[2,3,1,7,5,6,4]=>[4,2,3,1,6,7,5]=>{{1,4},{2},{3},{5,6,7}}=>7
[3,2,1,5,7,4,6]=>[2,3,1,7,5,4,6]=>[4,2,3,7,6,1,5]=>{{1,4,7},{2},{3},{5,6}}=>7
[3,2,1,5,7,6,4]=>[2,3,1,6,5,7,4]=>[4,2,3,1,6,5,7]=>{{1,4},{2},{3},{5,6},{7}}=>13
[3,2,1,6,4,5,7]=>[2,3,1,6,4,5,7]=>[4,2,3,6,7,5,1]=>{{1,4,6},{2},{3},{5,7}}=>7
[3,2,1,6,4,7,5]=>[2,3,1,6,7,4,5]=>[4,2,3,7,1,5,6]=>{{1,4,7},{2},{3},{5},{6}}=>12
[3,2,1,6,5,4,7]=>[2,3,1,5,6,4,7]=>[4,2,3,7,5,6,1]=>{{1,4,7},{2},{3},{5},{6}}=>12
[3,2,1,6,5,7,4]=>[2,3,1,7,6,5,4]=>[4,2,3,1,7,6,5]=>{{1,4},{2},{3},{5,7},{6}}=>12
[3,2,1,6,7,4,5]=>[2,3,1,7,4,6,5]=>[4,2,3,6,1,7,5]=>{{1,4,6,7},{2},{3},{5}}=>7
[3,2,1,6,7,5,4]=>[2,3,1,5,7,6,4]=>[4,2,3,1,5,7,6]=>{{1,4},{2},{3},{5},{6,7}}=>12
[3,2,1,7,4,5,6]=>[2,3,1,7,4,5,6]=>[4,2,3,6,7,1,5]=>{{1,4,6},{2},{3},{5,7}}=>7
[3,2,1,7,4,6,5]=>[2,3,1,7,6,4,5]=>[4,2,3,7,1,6,5]=>{{1,4,7},{2},{3},{5},{6}}=>12
[3,2,1,7,5,4,6]=>[2,3,1,5,7,4,6]=>[4,2,3,7,5,1,6]=>{{1,4,7},{2},{3},{5},{6}}=>12
[3,2,1,7,5,6,4]=>[2,3,1,6,7,5,4]=>[4,2,3,1,7,5,6]=>{{1,4},{2},{3},{5,7},{6}}=>12
[3,2,1,7,6,4,5]=>[2,3,1,6,4,7,5]=>[4,2,3,6,1,5,7]=>{{1,4,6},{2},{3},{5},{7}}=>13
[3,2,1,7,6,5,4]=>[2,3,1,5,6,7,4]=>[4,2,3,1,5,6,7]=>{{1,4},{2},{3},{5},{6},{7}}=>18
[3,2,4,1,5,6,7]=>[4,3,2,1,5,6,7]=>[5,4,3,2,6,7,1]=>{{1,5,6,7},{2,4},{3}}=>3
[3,2,4,1,5,7,6]=>[4,3,2,1,5,7,6]=>[5,4,3,2,6,1,7]=>{{1,5,6},{2,4},{3},{7}}=>9
[3,2,4,1,6,5,7]=>[4,3,2,1,6,5,7]=>[5,4,3,2,7,6,1]=>{{1,5,7},{2,4},{3},{6}}=>8
[3,2,4,1,6,7,5]=>[4,3,2,1,7,6,5]=>[5,4,3,2,1,7,6]=>{{1,5},{2,4},{3},{6,7}}=>8
[3,2,4,1,7,5,6]=>[4,3,2,1,7,5,6]=>[5,4,3,2,7,1,6]=>{{1,5,7},{2,4},{3},{6}}=>8
[3,2,4,1,7,6,5]=>[4,3,2,1,6,7,5]=>[5,4,3,2,1,6,7]=>{{1,5},{2,4},{3},{6},{7}}=>14
[3,2,4,5,1,6,7]=>[5,3,2,4,1,6,7]=>[6,4,3,5,2,7,1]=>{{1,6,7},{2,4,5},{3}}=>3
[3,2,4,5,1,7,6]=>[5,3,2,4,1,7,6]=>[6,4,3,5,2,1,7]=>{{1,6},{2,4,5},{3},{7}}=>9
[3,2,4,5,6,1,7]=>[6,3,2,4,5,1,7]=>[7,4,3,5,6,2,1]=>{{1,7},{2,4,5,6},{3}}=>3
[3,2,4,5,6,7,1]=>[7,3,2,4,5,6,1]=>[1,4,3,5,6,7,2]=>{{1},{2,4,5,6,7},{3}}=>3
[3,2,4,5,7,1,6]=>[7,3,2,4,5,1,6]=>[7,4,3,5,6,1,2]=>{{1,7},{2,4,5,6},{3}}=>3
[3,2,4,5,7,6,1]=>[6,3,2,4,5,7,1]=>[1,4,3,5,6,2,7]=>{{1},{2,4,5,6},{3},{7}}=>9
[3,2,4,6,1,5,7]=>[6,3,2,4,1,5,7]=>[6,4,3,5,7,2,1]=>{{1,6},{2,4,5,7},{3}}=>3
[3,2,4,6,1,7,5]=>[6,3,2,4,7,1,5]=>[7,4,3,5,1,2,6]=>{{1,7},{2,4,5},{3},{6}}=>8
[3,2,4,6,5,1,7]=>[5,3,2,4,6,1,7]=>[7,4,3,5,2,6,1]=>{{1,7},{2,4,5},{3},{6}}=>8
[3,2,4,6,5,7,1]=>[7,3,2,4,6,5,1]=>[1,4,3,5,7,6,2]=>{{1},{2,4,5,7},{3},{6}}=>8
[3,2,4,6,7,1,5]=>[7,3,2,4,1,6,5]=>[6,4,3,5,1,7,2]=>{{1,6,7},{2,4,5},{3}}=>3
[3,2,4,6,7,5,1]=>[5,3,2,4,7,6,1]=>[1,4,3,5,2,7,6]=>{{1},{2,4,5},{3},{6,7}}=>8
[3,2,4,7,1,5,6]=>[7,3,2,4,1,5,6]=>[6,4,3,5,7,1,2]=>{{1,6},{2,4,5,7},{3}}=>3
[3,2,4,7,1,6,5]=>[7,3,2,4,6,1,5]=>[7,4,3,5,1,6,2]=>{{1,7},{2,4,5},{3},{6}}=>8
[3,2,4,7,5,1,6]=>[5,3,2,4,7,1,6]=>[7,4,3,5,2,1,6]=>{{1,7},{2,4,5},{3},{6}}=>8
[3,2,4,7,5,6,1]=>[6,3,2,4,7,5,1]=>[1,4,3,5,7,2,6]=>{{1},{2,4,5,7},{3},{6}}=>8
[3,2,4,7,6,1,5]=>[6,3,2,4,1,7,5]=>[6,4,3,5,1,2,7]=>{{1,6},{2,4,5},{3},{7}}=>9
[3,2,4,7,6,5,1]=>[5,3,2,4,6,7,1]=>[1,4,3,5,2,6,7]=>{{1},{2,4,5},{3},{6},{7}}=>14
[3,2,5,1,4,6,7]=>[5,3,2,1,4,6,7]=>[5,4,3,6,2,7,1]=>{{1,5},{2,4,6,7},{3}}=>3
[3,2,5,1,4,7,6]=>[5,3,2,1,4,7,6]=>[5,4,3,6,2,1,7]=>{{1,5},{2,4,6},{3},{7}}=>9
[3,2,5,1,6,4,7]=>[5,3,2,6,1,4,7]=>[6,4,3,7,2,5,1]=>{{1,6},{2,4,7},{3},{5}}=>7
[3,2,5,1,6,7,4]=>[5,3,2,7,1,6,4]=>[6,4,3,1,2,7,5]=>{{1,6,7},{2,4},{3},{5}}=>7
[3,2,5,1,7,4,6]=>[5,3,2,7,1,4,6]=>[6,4,3,7,2,1,5]=>{{1,6},{2,4,7},{3},{5}}=>7
[3,2,5,1,7,6,4]=>[5,3,2,6,1,7,4]=>[6,4,3,1,2,5,7]=>{{1,6},{2,4},{3},{5},{7}}=>13
[3,2,5,4,1,6,7]=>[4,3,2,5,1,6,7]=>[6,4,3,2,5,7,1]=>{{1,6,7},{2,4},{3},{5}}=>7
[3,2,5,4,1,7,6]=>[4,3,2,5,1,7,6]=>[6,4,3,2,5,1,7]=>{{1,6},{2,4},{3},{5},{7}}=>13
[3,2,5,4,6,1,7]=>[6,3,2,5,4,1,7]=>[7,4,3,6,5,2,1]=>{{1,7},{2,4,6},{3},{5}}=>7
[3,2,5,4,6,7,1]=>[7,3,2,5,4,6,1]=>[1,4,3,6,5,7,2]=>{{1},{2,4,6,7},{3},{5}}=>7
[3,2,5,4,7,1,6]=>[7,3,2,5,4,1,6]=>[7,4,3,6,5,1,2]=>{{1,7},{2,4,6},{3},{5}}=>7
[3,2,5,4,7,6,1]=>[6,3,2,5,4,7,1]=>[1,4,3,6,5,2,7]=>{{1},{2,4,6},{3},{5},{7}}=>13
[3,2,5,6,1,4,7]=>[6,3,2,1,5,4,7]=>[5,4,3,7,6,2,1]=>{{1,5,6},{2,4,7},{3}}=>3
[3,2,5,6,1,7,4]=>[6,3,2,7,5,1,4]=>[7,4,3,1,6,2,5]=>{{1,7},{2,4},{3},{5,6}}=>7
[3,2,5,6,4,1,7]=>[4,3,2,6,5,1,7]=>[7,4,3,2,6,5,1]=>{{1,7},{2,4},{3},{5,6}}=>7
[3,2,5,6,4,7,1]=>[7,3,2,6,5,4,1]=>[1,4,3,7,6,5,2]=>{{1},{2,4,7},{3},{5,6}}=>7
[3,2,5,6,7,1,4]=>[7,3,2,1,5,6,4]=>[5,4,3,1,6,7,2]=>{{1,5,6,7},{2,4},{3}}=>3
[3,2,5,6,7,4,1]=>[4,3,2,7,5,6,1]=>[1,4,3,2,6,7,5]=>{{1},{2,4},{3},{5,6,7}}=>7
[3,2,5,7,1,4,6]=>[7,3,2,1,5,4,6]=>[5,4,3,7,6,1,2]=>{{1,5,6},{2,4,7},{3}}=>3
[3,2,5,7,1,6,4]=>[7,3,2,6,5,1,4]=>[7,4,3,1,6,5,2]=>{{1,7},{2,4},{3},{5,6}}=>7
[3,2,5,7,4,1,6]=>[4,3,2,7,5,1,6]=>[7,4,3,2,6,1,5]=>{{1,7},{2,4},{3},{5,6}}=>7
[3,2,5,7,4,6,1]=>[6,3,2,7,5,4,1]=>[1,4,3,7,6,2,5]=>{{1},{2,4,7},{3},{5,6}}=>7
[3,2,5,7,6,1,4]=>[6,3,2,1,5,7,4]=>[5,4,3,1,6,2,7]=>{{1,5,6},{2,4},{3},{7}}=>9
[3,2,5,7,6,4,1]=>[4,3,2,6,5,7,1]=>[1,4,3,2,6,5,7]=>{{1},{2,4},{3},{5,6},{7}}=>13
[3,2,6,1,4,5,7]=>[6,3,2,1,4,5,7]=>[5,4,3,6,7,2,1]=>{{1,5,7},{2,4,6},{3}}=>3
[3,2,6,1,4,7,5]=>[6,3,2,1,7,4,5]=>[5,4,3,7,1,2,6]=>{{1,5},{2,4,7},{3},{6}}=>8
[3,2,6,1,5,4,7]=>[6,3,2,5,1,4,7]=>[6,4,3,7,5,2,1]=>{{1,6},{2,4,7},{3},{5}}=>7
[3,2,6,1,5,7,4]=>[6,3,2,7,1,5,4]=>[6,4,3,1,7,2,5]=>{{1,6},{2,4},{3},{5,7}}=>7
[3,2,6,1,7,4,5]=>[6,3,2,7,4,1,5]=>[7,4,3,6,1,2,5]=>{{1,7},{2,4,6},{3},{5}}=>7
[3,2,6,1,7,5,4]=>[6,3,2,5,7,1,4]=>[7,4,3,1,5,2,6]=>{{1,7},{2,4},{3},{5},{6}}=>12
[3,2,6,4,1,5,7]=>[4,3,2,6,1,5,7]=>[6,4,3,2,7,5,1]=>{{1,6},{2,4},{3},{5,7}}=>7
[3,2,6,4,1,7,5]=>[4,3,2,6,7,1,5]=>[7,4,3,2,1,5,6]=>{{1,7},{2,4},{3},{5},{6}}=>12
[3,2,6,4,5,1,7]=>[5,3,2,6,4,1,7]=>[7,4,3,6,2,5,1]=>{{1,7},{2,4,6},{3},{5}}=>7
[3,2,6,4,5,7,1]=>[7,3,2,6,4,5,1]=>[1,4,3,6,7,5,2]=>{{1},{2,4,6},{3},{5,7}}=>7
[3,2,6,4,7,1,5]=>[7,3,2,6,1,4,5]=>[6,4,3,7,1,5,2]=>{{1,6},{2,4,7},{3},{5}}=>7
[3,2,6,4,7,5,1]=>[5,3,2,7,6,1,4]=>[7,4,3,1,2,6,5]=>{{1,7},{2,4},{3},{5},{6}}=>12
[3,2,6,5,1,4,7]=>[5,3,2,1,6,4,7]=>[5,4,3,7,2,6,1]=>{{1,5},{2,4,7},{3},{6}}=>8
[3,2,6,5,1,7,4]=>[5,3,2,6,7,4,1]=>[1,4,3,7,2,5,6]=>{{1},{2,4,7},{3},{5},{6}}=>12
[3,2,6,5,4,1,7]=>[4,3,2,5,6,1,7]=>[7,4,3,2,5,6,1]=>{{1,7},{2,4},{3},{5},{6}}=>12
[3,2,6,5,4,7,1]=>[7,3,2,5,6,4,1]=>[1,4,3,7,5,6,2]=>{{1},{2,4,7},{3},{5},{6}}=>12
[3,2,6,5,7,1,4]=>[7,3,2,1,6,5,4]=>[5,4,3,1,7,6,2]=>{{1,5,7},{2,4},{3},{6}}=>8
[3,2,6,5,7,4,1]=>[4,3,2,7,6,5,1]=>[1,4,3,2,7,6,5]=>{{1},{2,4},{3},{5,7},{6}}=>12
[3,2,6,7,1,4,5]=>[7,3,2,1,4,6,5]=>[5,4,3,6,1,7,2]=>{{1,5},{2,4,6,7},{3}}=>3
[3,2,6,7,1,5,4]=>[7,3,2,5,1,6,4]=>[6,4,3,1,5,7,2]=>{{1,6,7},{2,4},{3},{5}}=>7
[3,2,6,7,4,1,5]=>[4,3,2,7,1,6,5]=>[6,4,3,2,1,7,5]=>{{1,6,7},{2,4},{3},{5}}=>7
[3,2,6,7,4,5,1]=>[5,3,2,7,4,6,1]=>[1,4,3,6,2,7,5]=>{{1},{2,4,6,7},{3},{5}}=>7
[3,2,6,7,5,1,4]=>[5,3,2,1,7,6,4]=>[5,4,3,1,2,7,6]=>{{1,5},{2,4},{3},{6,7}}=>8
[3,2,6,7,5,4,1]=>[4,3,2,5,7,6,1]=>[1,4,3,2,5,7,6]=>{{1},{2,4},{3},{5},{6,7}}=>12
[3,2,7,1,4,5,6]=>[7,3,2,1,4,5,6]=>[5,4,3,6,7,1,2]=>{{1,5,7},{2,4,6},{3}}=>3
[3,2,7,1,4,6,5]=>[7,3,2,1,6,4,5]=>[5,4,3,7,1,6,2]=>{{1,5},{2,4,7},{3},{6}}=>8
[3,2,7,1,5,4,6]=>[7,3,2,5,1,4,6]=>[6,4,3,7,5,1,2]=>{{1,6},{2,4,7},{3},{5}}=>7
[3,2,7,1,5,6,4]=>[7,3,2,6,1,5,4]=>[6,4,3,1,7,5,2]=>{{1,6},{2,4},{3},{5,7}}=>7
[3,2,7,1,6,4,5]=>[7,3,2,6,4,1,5]=>[7,4,3,6,1,5,2]=>{{1,7},{2,4,6},{3},{5}}=>7
[3,2,7,1,6,5,4]=>[7,3,2,5,6,1,4]=>[7,4,3,1,5,6,2]=>{{1,7},{2,4},{3},{5},{6}}=>12
[3,2,7,4,1,5,6]=>[4,3,2,7,1,5,6]=>[6,4,3,2,7,1,5]=>{{1,6},{2,4},{3},{5,7}}=>7
[3,2,7,4,1,6,5]=>[4,3,2,7,6,1,5]=>[7,4,3,2,1,6,5]=>{{1,7},{2,4},{3},{5},{6}}=>12
[3,2,7,4,5,1,6]=>[5,3,2,7,4,1,6]=>[7,4,3,6,2,1,5]=>{{1,7},{2,4,6},{3},{5}}=>7
[3,2,7,4,5,6,1]=>[6,3,2,7,4,5,1]=>[1,4,3,6,7,2,5]=>{{1},{2,4,6},{3},{5,7}}=>7
[3,2,7,4,6,1,5]=>[6,3,2,7,1,4,5]=>[6,4,3,7,1,2,5]=>{{1,6},{2,4,7},{3},{5}}=>7
[3,2,7,4,6,5,1]=>[5,3,2,6,7,1,4]=>[7,4,3,1,2,5,6]=>{{1,7},{2,4},{3},{5},{6}}=>12
[3,2,7,5,1,4,6]=>[5,3,2,1,7,4,6]=>[5,4,3,7,2,1,6]=>{{1,5},{2,4,7},{3},{6}}=>8
[3,2,7,5,1,6,4]=>[5,3,2,7,6,4,1]=>[1,4,3,7,2,6,5]=>{{1},{2,4,7},{3},{5},{6}}=>12
[3,2,7,5,4,1,6]=>[4,3,2,5,7,1,6]=>[7,4,3,2,5,1,6]=>{{1,7},{2,4},{3},{5},{6}}=>12
[3,2,7,5,4,6,1]=>[6,3,2,5,7,4,1]=>[1,4,3,7,5,2,6]=>{{1},{2,4,7},{3},{5},{6}}=>12
[3,2,7,5,6,1,4]=>[6,3,2,1,7,5,4]=>[5,4,3,1,7,2,6]=>{{1,5,7},{2,4},{3},{6}}=>8
[3,2,7,5,6,4,1]=>[4,3,2,6,7,5,1]=>[1,4,3,2,7,5,6]=>{{1},{2,4},{3},{5,7},{6}}=>12
[3,2,7,6,1,4,5]=>[6,3,2,1,4,7,5]=>[5,4,3,6,1,2,7]=>{{1,5},{2,4,6},{3},{7}}=>9
[3,2,7,6,1,5,4]=>[6,3,2,5,1,7,4]=>[6,4,3,1,5,2,7]=>{{1,6},{2,4},{3},{5},{7}}=>13
[3,2,7,6,4,1,5]=>[4,3,2,6,1,7,5]=>[6,4,3,2,1,5,7]=>{{1,6},{2,4},{3},{5},{7}}=>13
[3,2,7,6,4,5,1]=>[5,3,2,6,4,7,1]=>[1,4,3,6,2,5,7]=>{{1},{2,4,6},{3},{5},{7}}=>13
[3,2,7,6,5,1,4]=>[5,3,2,1,6,7,4]=>[5,4,3,1,2,6,7]=>{{1,5},{2,4},{3},{6},{7}}=>14
[3,2,7,6,5,4,1]=>[4,3,2,5,6,7,1]=>[1,4,3,2,5,6,7]=>{{1},{2,4},{3},{5},{6},{7}}=>18
[3,4,1,2,5,6,7]=>[4,1,3,2,5,6,7]=>[3,5,4,2,6,7,1]=>{{1,3,4},{2,5,6,7}}=>1
[3,4,1,2,5,7,6]=>[4,1,3,2,5,7,6]=>[3,5,4,2,6,1,7]=>{{1,3,4},{2,5,6},{7}}=>7
[3,4,1,2,6,5,7]=>[4,1,3,2,6,5,7]=>[3,5,4,2,7,6,1]=>{{1,3,4},{2,5,7},{6}}=>6
[3,4,1,2,6,7,5]=>[4,1,3,2,7,6,5]=>[3,5,4,2,1,7,6]=>{{1,3,4},{2,5},{6,7}}=>6
[3,4,1,2,7,5,6]=>[4,1,3,2,7,5,6]=>[3,5,4,2,7,1,6]=>{{1,3,4},{2,5,7},{6}}=>6
[3,4,1,2,7,6,5]=>[4,1,3,2,6,7,5]=>[3,5,4,2,1,6,7]=>{{1,3,4},{2,5},{6},{7}}=>12
[3,4,1,5,2,6,7]=>[4,5,3,1,2,6,7]=>[5,6,4,2,3,7,1]=>{{1,5},{2,6,7},{3,4}}=>3
[3,4,1,5,2,7,6]=>[4,5,3,1,2,7,6]=>[5,6,4,2,3,1,7]=>{{1,5},{2,6},{3,4},{7}}=>9
[3,4,1,5,6,2,7]=>[4,6,3,1,5,2,7]=>[5,7,4,2,6,3,1]=>{{1,5,6},{2,7},{3,4}}=>3
[3,4,1,5,6,7,2]=>[4,7,3,1,5,6,2]=>[5,1,4,2,6,7,3]=>{{1,5,6,7},{2},{3,4}}=>3
[3,4,1,5,7,2,6]=>[4,7,3,1,5,2,6]=>[5,7,4,2,6,1,3]=>{{1,5,6},{2,7},{3,4}}=>3
[3,4,1,5,7,6,2]=>[4,6,3,1,5,7,2]=>[5,1,4,2,6,3,7]=>{{1,5,6},{2},{3,4},{7}}=>9
[3,4,1,6,2,5,7]=>[4,6,3,1,2,5,7]=>[5,6,4,2,7,3,1]=>{{1,5,7},{2,6},{3,4}}=>3
[3,4,1,6,2,7,5]=>[4,6,3,1,7,2,5]=>[5,7,4,2,1,3,6]=>{{1,5},{2,7},{3,4},{6}}=>8
[3,4,1,6,5,2,7]=>[4,5,3,1,6,2,7]=>[5,7,4,2,3,6,1]=>{{1,5},{2,7},{3,4},{6}}=>8
[3,4,1,6,5,7,2]=>[4,7,3,1,6,5,2]=>[5,1,4,2,7,6,3]=>{{1,5,7},{2},{3,4},{6}}=>8
[3,4,1,6,7,2,5]=>[4,7,3,1,2,6,5]=>[5,6,4,2,1,7,3]=>{{1,5},{2,6,7},{3,4}}=>3
[3,4,1,6,7,5,2]=>[4,5,3,1,7,6,2]=>[5,1,4,2,3,7,6]=>{{1,5},{2},{3,4},{6,7}}=>8
[3,4,1,7,2,5,6]=>[4,7,3,1,2,5,6]=>[5,6,4,2,7,1,3]=>{{1,5,7},{2,6},{3,4}}=>3
[3,4,1,7,2,6,5]=>[4,7,3,1,6,2,5]=>[5,7,4,2,1,6,3]=>{{1,5},{2,7},{3,4},{6}}=>8
[3,4,1,7,5,2,6]=>[4,5,3,1,7,2,6]=>[5,7,4,2,3,1,6]=>{{1,5},{2,7},{3,4},{6}}=>8
[3,4,1,7,5,6,2]=>[4,6,3,1,7,5,2]=>[5,1,4,2,7,3,6]=>{{1,5,7},{2},{3,4},{6}}=>8
[3,4,1,7,6,2,5]=>[4,6,3,1,2,7,5]=>[5,6,4,2,1,3,7]=>{{1,5},{2,6},{3,4},{7}}=>9
[3,4,1,7,6,5,2]=>[4,5,3,1,6,7,2]=>[5,1,4,2,3,6,7]=>{{1,5},{2},{3,4},{6},{7}}=>14
[3,4,2,1,5,6,7]=>[2,4,3,1,5,6,7]=>[5,2,4,3,6,7,1]=>{{1,5,6,7},{2},{3,4}}=>3
[3,4,2,1,5,7,6]=>[2,4,3,1,5,7,6]=>[5,2,4,3,6,1,7]=>{{1,5,6},{2},{3,4},{7}}=>9
[3,4,2,1,6,5,7]=>[2,4,3,1,6,5,7]=>[5,2,4,3,7,6,1]=>{{1,5,7},{2},{3,4},{6}}=>8
[3,4,2,1,6,7,5]=>[2,4,3,1,7,6,5]=>[5,2,4,3,1,7,6]=>{{1,5},{2},{3,4},{6,7}}=>8
[3,4,2,1,7,5,6]=>[2,4,3,1,7,5,6]=>[5,2,4,3,7,1,6]=>{{1,5,7},{2},{3,4},{6}}=>8
[3,4,2,1,7,6,5]=>[2,4,3,1,6,7,5]=>[5,2,4,3,1,6,7]=>{{1,5},{2},{3,4},{6},{7}}=>14
[3,4,2,5,1,6,7]=>[5,4,3,2,1,6,7]=>[6,5,4,3,2,7,1]=>{{1,6,7},{2,5},{3,4}}=>3
[3,4,2,5,1,7,6]=>[5,4,3,2,1,7,6]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>9
[3,4,2,5,6,1,7]=>[6,4,3,2,5,1,7]=>[7,5,4,3,6,2,1]=>{{1,7},{2,5,6},{3,4}}=>3
[3,4,2,5,6,7,1]=>[7,4,3,2,5,6,1]=>[1,5,4,3,6,7,2]=>{{1},{2,5,6,7},{3,4}}=>3
[3,4,2,5,7,1,6]=>[7,4,3,2,5,1,6]=>[7,5,4,3,6,1,2]=>{{1,7},{2,5,6},{3,4}}=>3
[3,4,2,5,7,6,1]=>[6,4,3,2,5,7,1]=>[1,5,4,3,6,2,7]=>{{1},{2,5,6},{3,4},{7}}=>9
[3,4,2,6,1,5,7]=>[6,4,3,2,1,5,7]=>[6,5,4,3,7,2,1]=>{{1,6},{2,5,7},{3,4}}=>3
[3,4,2,6,1,7,5]=>[6,4,3,2,7,1,5]=>[7,5,4,3,1,2,6]=>{{1,7},{2,5},{3,4},{6}}=>8
[3,4,2,6,5,1,7]=>[5,4,3,2,6,1,7]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>8
[3,4,2,6,5,7,1]=>[7,4,3,2,6,5,1]=>[1,5,4,3,7,6,2]=>{{1},{2,5,7},{3,4},{6}}=>8
[3,4,2,6,7,1,5]=>[7,4,3,2,1,6,5]=>[6,5,4,3,1,7,2]=>{{1,6,7},{2,5},{3,4}}=>3
[3,4,2,6,7,5,1]=>[5,4,3,2,7,6,1]=>[1,5,4,3,2,7,6]=>{{1},{2,5},{3,4},{6,7}}=>8
[3,4,2,7,1,5,6]=>[7,4,3,2,1,5,6]=>[6,5,4,3,7,1,2]=>{{1,6},{2,5,7},{3,4}}=>3
[3,4,2,7,1,6,5]=>[7,4,3,2,6,1,5]=>[7,5,4,3,1,6,2]=>{{1,7},{2,5},{3,4},{6}}=>8
[3,4,2,7,5,1,6]=>[5,4,3,2,7,1,6]=>[7,5,4,3,2,1,6]=>{{1,7},{2,5},{3,4},{6}}=>8
[3,4,2,7,5,6,1]=>[6,4,3,2,7,5,1]=>[1,5,4,3,7,2,6]=>{{1},{2,5,7},{3,4},{6}}=>8
[3,4,2,7,6,1,5]=>[6,4,3,2,1,7,5]=>[6,5,4,3,1,2,7]=>{{1,6},{2,5},{3,4},{7}}=>9
[3,4,2,7,6,5,1]=>[5,4,3,2,6,7,1]=>[1,5,4,3,2,6,7]=>{{1},{2,5},{3,4},{6},{7}}=>14
[3,4,5,1,2,6,7]=>[5,1,3,4,2,6,7]=>[3,6,4,5,2,7,1]=>{{1,3,4,5},{2,6,7}}=>1
[3,4,5,1,2,7,6]=>[5,1,3,4,2,7,6]=>[3,6,4,5,2,1,7]=>{{1,3,4,5},{2,6},{7}}=>7
[3,4,5,1,6,2,7]=>[5,6,3,4,1,2,7]=>[6,7,4,5,2,3,1]=>{{1,6},{2,7},{3,4,5}}=>3
[3,4,5,1,6,7,2]=>[5,7,3,4,1,6,2]=>[6,1,4,5,2,7,3]=>{{1,6,7},{2},{3,4,5}}=>3
[3,4,5,1,7,2,6]=>[5,7,3,4,1,2,6]=>[6,7,4,5,2,1,3]=>{{1,6},{2,7},{3,4,5}}=>3
[3,4,5,1,7,6,2]=>[5,6,3,4,1,7,2]=>[6,1,4,5,2,3,7]=>{{1,6},{2},{3,4,5},{7}}=>9
[3,4,5,2,1,6,7]=>[2,5,3,4,1,6,7]=>[6,2,4,5,3,7,1]=>{{1,6,7},{2},{3,4,5}}=>3
[3,4,5,2,1,7,6]=>[2,5,3,4,1,7,6]=>[6,2,4,5,3,1,7]=>{{1,6},{2},{3,4,5},{7}}=>9
[3,4,5,2,6,1,7]=>[6,5,3,4,2,1,7]=>[7,6,4,5,3,2,1]=>{{1,7},{2,6},{3,4,5}}=>3
[3,4,5,2,6,7,1]=>[7,5,3,4,2,6,1]=>[1,6,4,5,3,7,2]=>{{1},{2,6,7},{3,4,5}}=>3
[3,4,5,2,7,1,6]=>[7,5,3,4,2,1,6]=>[7,6,4,5,3,1,2]=>{{1,7},{2,6},{3,4,5}}=>3
[3,4,5,2,7,6,1]=>[6,5,3,4,2,7,1]=>[1,6,4,5,3,2,7]=>{{1},{2,6},{3,4,5},{7}}=>9
[3,4,5,6,1,2,7]=>[6,1,3,4,5,2,7]=>[3,7,4,5,6,2,1]=>{{1,3,4,5,6},{2,7}}=>1
[3,4,5,6,1,7,2]=>[6,7,3,4,5,1,2]=>[7,1,4,5,6,2,3]=>{{1,7},{2},{3,4,5,6}}=>3
[3,4,5,6,2,1,7]=>[2,6,3,4,5,1,7]=>[7,2,4,5,6,3,1]=>{{1,7},{2},{3,4,5,6}}=>3
[3,4,5,6,2,7,1]=>[7,6,3,4,5,2,1]=>[1,7,4,5,6,3,2]=>{{1},{2,7},{3,4,5,6}}=>3
[3,4,5,6,7,1,2]=>[7,1,3,4,5,6,2]=>[3,1,4,5,6,7,2]=>{{1,3,4,5,6,7},{2}}=>1
[3,4,5,6,7,2,1]=>[2,7,3,4,5,6,1]=>[1,2,4,5,6,7,3]=>{{1},{2},{3,4,5,6,7}}=>3
[3,4,5,7,1,2,6]=>[7,1,3,4,5,2,6]=>[3,7,4,5,6,1,2]=>{{1,3,4,5,6},{2,7}}=>1
[3,4,5,7,1,6,2]=>[7,6,3,4,5,1,2]=>[7,1,4,5,6,3,2]=>{{1,7},{2},{3,4,5,6}}=>3
[3,4,5,7,2,1,6]=>[2,7,3,4,5,1,6]=>[7,2,4,5,6,1,3]=>{{1,7},{2},{3,4,5,6}}=>3
[3,4,5,7,2,6,1]=>[6,7,3,4,5,2,1]=>[1,7,4,5,6,2,3]=>{{1},{2,7},{3,4,5,6}}=>3
[3,4,5,7,6,1,2]=>[6,1,3,4,5,7,2]=>[3,1,4,5,6,2,7]=>{{1,3,4,5,6},{2},{7}}=>7
[3,4,5,7,6,2,1]=>[2,6,3,4,5,7,1]=>[1,2,4,5,6,3,7]=>{{1},{2},{3,4,5,6},{7}}=>9
[3,4,6,1,2,5,7]=>[6,1,3,4,2,5,7]=>[3,6,4,5,7,2,1]=>{{1,3,4,5,7},{2,6}}=>1
[3,4,6,1,2,7,5]=>[6,1,3,4,7,2,5]=>[3,7,4,5,1,2,6]=>{{1,3,4,5},{2,7},{6}}=>6
[3,4,6,1,5,2,7]=>[6,5,3,4,1,2,7]=>[6,7,4,5,3,2,1]=>{{1,6},{2,7},{3,4,5}}=>3
[3,4,6,1,5,7,2]=>[6,7,3,4,1,5,2]=>[6,1,4,5,7,2,3]=>{{1,6},{2},{3,4,5,7}}=>3
[3,4,6,1,7,2,5]=>[6,7,3,4,2,1,5]=>[7,6,4,5,1,2,3]=>{{1,7},{2,6},{3,4,5}}=>3
[3,4,6,1,7,5,2]=>[6,5,3,4,7,1,2]=>[7,1,4,5,3,2,6]=>{{1,7},{2},{3,4,5},{6}}=>8
[3,4,6,2,1,5,7]=>[2,6,3,4,1,5,7]=>[6,2,4,5,7,3,1]=>{{1,6},{2},{3,4,5,7}}=>3
[3,4,6,2,1,7,5]=>[2,6,3,4,7,1,5]=>[7,2,4,5,1,3,6]=>{{1,7},{2},{3,4,5},{6}}=>8
[3,4,6,2,5,1,7]=>[5,6,3,4,2,1,7]=>[7,6,4,5,2,3,1]=>{{1,7},{2,6},{3,4,5}}=>3
[3,4,6,2,5,7,1]=>[7,6,3,4,2,5,1]=>[1,6,4,5,7,3,2]=>{{1},{2,6},{3,4,5,7}}=>3
[3,4,6,2,7,1,5]=>[7,6,3,4,1,2,5]=>[6,7,4,5,1,3,2]=>{{1,6},{2,7},{3,4,5}}=>3
[3,4,6,2,7,5,1]=>[5,7,3,4,6,1,2]=>[7,1,4,5,2,6,3]=>{{1,7},{2},{3,4,5},{6}}=>8
[3,4,6,5,1,2,7]=>[5,1,3,4,6,2,7]=>[3,7,4,5,2,6,1]=>{{1,3,4,5},{2,7},{6}}=>6
[3,4,6,5,1,7,2]=>[5,6,3,4,7,2,1]=>[1,7,4,5,2,3,6]=>{{1},{2,7},{3,4,5},{6}}=>8
[3,4,6,5,2,1,7]=>[2,5,3,4,6,1,7]=>[7,2,4,5,3,6,1]=>{{1,7},{2},{3,4,5},{6}}=>8
[3,4,6,5,2,7,1]=>[7,5,3,4,6,2,1]=>[1,7,4,5,3,6,2]=>{{1},{2,7},{3,4,5},{6}}=>8
[3,4,6,5,7,1,2]=>[7,1,3,4,6,5,2]=>[3,1,4,5,7,6,2]=>{{1,3,4,5,7},{2},{6}}=>6
[3,4,6,5,7,2,1]=>[2,7,3,4,6,5,1]=>[1,2,4,5,7,6,3]=>{{1},{2},{3,4,5,7},{6}}=>8
[3,4,6,7,1,2,5]=>[7,1,3,4,2,6,5]=>[3,6,4,5,1,7,2]=>{{1,3,4,5},{2,6,7}}=>1
[3,4,6,7,1,5,2]=>[7,5,3,4,1,6,2]=>[6,1,4,5,3,7,2]=>{{1,6,7},{2},{3,4,5}}=>3
[3,4,6,7,2,1,5]=>[2,7,3,4,1,6,5]=>[6,2,4,5,1,7,3]=>{{1,6,7},{2},{3,4,5}}=>3
[3,4,6,7,2,5,1]=>[5,7,3,4,2,6,1]=>[1,6,4,5,2,7,3]=>{{1},{2,6,7},{3,4,5}}=>3
[3,4,6,7,5,1,2]=>[5,1,3,4,7,6,2]=>[3,1,4,5,2,7,6]=>{{1,3,4,5},{2},{6,7}}=>6
[3,4,6,7,5,2,1]=>[2,5,3,4,7,6,1]=>[1,2,4,5,3,7,6]=>{{1},{2},{3,4,5},{6,7}}=>8
[3,4,7,1,2,5,6]=>[7,1,3,4,2,5,6]=>[3,6,4,5,7,1,2]=>{{1,3,4,5,7},{2,6}}=>1
[3,4,7,1,2,6,5]=>[7,1,3,4,6,2,5]=>[3,7,4,5,1,6,2]=>{{1,3,4,5},{2,7},{6}}=>6
[3,4,7,1,5,2,6]=>[7,5,3,4,1,2,6]=>[6,7,4,5,3,1,2]=>{{1,6},{2,7},{3,4,5}}=>3
[3,4,7,1,5,6,2]=>[7,6,3,4,1,5,2]=>[6,1,4,5,7,3,2]=>{{1,6},{2},{3,4,5,7}}=>3
[3,4,7,1,6,2,5]=>[7,6,3,4,2,1,5]=>[7,6,4,5,1,3,2]=>{{1,7},{2,6},{3,4,5}}=>3
[3,4,7,1,6,5,2]=>[7,5,3,4,6,1,2]=>[7,1,4,5,3,6,2]=>{{1,7},{2},{3,4,5},{6}}=>8
[3,4,7,2,1,5,6]=>[2,7,3,4,1,5,6]=>[6,2,4,5,7,1,3]=>{{1,6},{2},{3,4,5,7}}=>3
[3,4,7,2,1,6,5]=>[2,7,3,4,6,1,5]=>[7,2,4,5,1,6,3]=>{{1,7},{2},{3,4,5},{6}}=>8
[3,4,7,2,5,1,6]=>[5,7,3,4,2,1,6]=>[7,6,4,5,2,1,3]=>{{1,7},{2,6},{3,4,5}}=>3
[3,4,7,2,5,6,1]=>[6,7,3,4,2,5,1]=>[1,6,4,5,7,2,3]=>{{1},{2,6},{3,4,5,7}}=>3
[3,4,7,2,6,1,5]=>[6,7,3,4,1,2,5]=>[6,7,4,5,1,2,3]=>{{1,6},{2,7},{3,4,5}}=>3
[3,4,7,2,6,5,1]=>[5,6,3,4,7,1,2]=>[7,1,4,5,2,3,6]=>{{1,7},{2},{3,4,5},{6}}=>8
[3,4,7,5,1,2,6]=>[5,1,3,4,7,2,6]=>[3,7,4,5,2,1,6]=>{{1,3,4,5},{2,7},{6}}=>6
[3,4,7,5,1,6,2]=>[5,7,3,4,6,2,1]=>[1,7,4,5,2,6,3]=>{{1},{2,7},{3,4,5},{6}}=>8
[3,4,7,5,2,1,6]=>[2,5,3,4,7,1,6]=>[7,2,4,5,3,1,6]=>{{1,7},{2},{3,4,5},{6}}=>8
[3,4,7,5,2,6,1]=>[6,5,3,4,7,2,1]=>[1,7,4,5,3,2,6]=>{{1},{2,7},{3,4,5},{6}}=>8
[3,4,7,5,6,1,2]=>[6,1,3,4,7,5,2]=>[3,1,4,5,7,2,6]=>{{1,3,4,5,7},{2},{6}}=>6
[3,4,7,5,6,2,1]=>[2,6,3,4,7,5,1]=>[1,2,4,5,7,3,6]=>{{1},{2},{3,4,5,7},{6}}=>8
[3,4,7,6,1,2,5]=>[6,1,3,4,2,7,5]=>[3,6,4,5,1,2,7]=>{{1,3,4,5},{2,6},{7}}=>7
[3,4,7,6,1,5,2]=>[6,5,3,4,1,7,2]=>[6,1,4,5,3,2,7]=>{{1,6},{2},{3,4,5},{7}}=>9
[3,4,7,6,2,1,5]=>[2,6,3,4,1,7,5]=>[6,2,4,5,1,3,7]=>{{1,6},{2},{3,4,5},{7}}=>9
[3,4,7,6,2,5,1]=>[5,6,3,4,2,7,1]=>[1,6,4,5,2,3,7]=>{{1},{2,6},{3,4,5},{7}}=>9
[3,4,7,6,5,1,2]=>[5,1,3,4,6,7,2]=>[3,1,4,5,2,6,7]=>{{1,3,4,5},{2},{6},{7}}=>12
[3,4,7,6,5,2,1]=>[2,5,3,4,6,7,1]=>[1,2,4,5,3,6,7]=>{{1},{2},{3,4,5},{6},{7}}=>14
[3,5,1,2,4,6,7]=>[5,1,3,2,4,6,7]=>[3,5,4,6,2,7,1]=>{{1,3,4,6,7},{2,5}}=>1
[3,5,1,2,4,7,6]=>[5,1,3,2,4,7,6]=>[3,5,4,6,2,1,7]=>{{1,3,4,6},{2,5},{7}}=>7
[3,5,1,2,6,4,7]=>[5,1,3,6,2,4,7]=>[3,6,4,7,2,5,1]=>{{1,3,4,7},{2,6},{5}}=>5
[3,5,1,2,6,7,4]=>[5,1,3,7,2,6,4]=>[3,6,4,1,2,7,5]=>{{1,3,4},{2,6,7},{5}}=>5
[3,5,1,2,7,4,6]=>[5,1,3,7,2,4,6]=>[3,6,4,7,2,1,5]=>{{1,3,4,7},{2,6},{5}}=>5
[3,5,1,2,7,6,4]=>[5,1,3,6,2,7,4]=>[3,6,4,1,2,5,7]=>{{1,3,4},{2,6},{5},{7}}=>11
[3,5,1,4,2,6,7]=>[5,4,3,1,2,6,7]=>[5,6,4,3,2,7,1]=>{{1,5},{2,6,7},{3,4}}=>3
[3,5,1,4,2,7,6]=>[5,4,3,1,2,7,6]=>[5,6,4,3,2,1,7]=>{{1,5},{2,6},{3,4},{7}}=>9
[3,5,1,4,6,2,7]=>[5,6,3,1,4,2,7]=>[5,7,4,6,2,3,1]=>{{1,5},{2,7},{3,4,6}}=>3
[3,5,1,4,6,7,2]=>[5,7,3,1,4,6,2]=>[5,1,4,6,2,7,3]=>{{1,5},{2},{3,4,6,7}}=>3
[3,5,1,4,7,2,6]=>[5,7,3,1,4,2,6]=>[5,7,4,6,2,1,3]=>{{1,5},{2,7},{3,4,6}}=>3
[3,5,1,4,7,6,2]=>[5,6,3,1,4,7,2]=>[5,1,4,6,2,3,7]=>{{1,5},{2},{3,4,6},{7}}=>9
[3,5,1,6,2,4,7]=>[5,6,3,2,1,4,7]=>[6,5,4,7,2,3,1]=>{{1,6},{2,5},{3,4,7}}=>3
[3,5,1,6,2,7,4]=>[5,6,3,7,1,2,4]=>[6,7,4,1,2,3,5]=>{{1,6},{2,7},{3,4},{5}}=>7
[3,5,1,6,4,2,7]=>[5,4,3,6,1,2,7]=>[6,7,4,3,2,5,1]=>{{1,6},{2,7},{3,4},{5}}=>7
[3,5,1,6,4,7,2]=>[5,7,3,6,1,4,2]=>[6,1,4,7,2,5,3]=>{{1,6},{2},{3,4,7},{5}}=>7
[3,5,1,6,7,2,4]=>[5,7,3,2,1,6,4]=>[6,5,4,1,2,7,3]=>{{1,6,7},{2,5},{3,4}}=>3
[3,5,1,6,7,4,2]=>[5,4,3,7,1,6,2]=>[6,1,4,3,2,7,5]=>{{1,6,7},{2},{3,4},{5}}=>7
[3,5,1,7,2,4,6]=>[5,7,3,2,1,4,6]=>[6,5,4,7,2,1,3]=>{{1,6},{2,5},{3,4,7}}=>3
[3,5,1,7,2,6,4]=>[5,7,3,6,1,2,4]=>[6,7,4,1,2,5,3]=>{{1,6},{2,7},{3,4},{5}}=>7
[3,5,1,7,4,2,6]=>[5,4,3,7,1,2,6]=>[6,7,4,3,2,1,5]=>{{1,6},{2,7},{3,4},{5}}=>7
[3,5,1,7,4,6,2]=>[5,6,3,7,1,4,2]=>[6,1,4,7,2,3,5]=>{{1,6},{2},{3,4,7},{5}}=>7
[3,5,1,7,6,2,4]=>[5,6,3,2,1,7,4]=>[6,5,4,1,2,3,7]=>{{1,6},{2,5},{3,4},{7}}=>9
[3,5,1,7,6,4,2]=>[5,4,3,6,1,7,2]=>[6,1,4,3,2,5,7]=>{{1,6},{2},{3,4},{5},{7}}=>13
[3,5,2,1,4,6,7]=>[2,5,3,1,4,6,7]=>[5,2,4,6,3,7,1]=>{{1,5},{2},{3,4,6,7}}=>3
[3,5,2,1,4,7,6]=>[2,5,3,1,4,7,6]=>[5,2,4,6,3,1,7]=>{{1,5},{2},{3,4,6},{7}}=>9
[3,5,2,1,6,4,7]=>[2,5,3,6,1,4,7]=>[6,2,4,7,3,5,1]=>{{1,6},{2},{3,4,7},{5}}=>7
[3,5,2,1,6,7,4]=>[2,5,3,7,1,6,4]=>[6,2,4,1,3,7,5]=>{{1,6,7},{2},{3,4},{5}}=>7
[3,5,2,1,7,4,6]=>[2,5,3,7,1,4,6]=>[6,2,4,7,3,1,5]=>{{1,6},{2},{3,4,7},{5}}=>7
[3,5,2,1,7,6,4]=>[2,5,3,6,1,7,4]=>[6,2,4,1,3,5,7]=>{{1,6},{2},{3,4},{5},{7}}=>13
[3,5,2,4,1,6,7]=>[4,5,3,2,1,6,7]=>[6,5,4,2,3,7,1]=>{{1,6,7},{2,5},{3,4}}=>3
[3,5,2,4,1,7,6]=>[4,5,3,2,1,7,6]=>[6,5,4,2,3,1,7]=>{{1,6},{2,5},{3,4},{7}}=>9
[3,5,2,4,6,1,7]=>[6,5,3,2,4,1,7]=>[7,5,4,6,3,2,1]=>{{1,7},{2,5},{3,4,6}}=>3
[3,5,2,4,6,7,1]=>[7,5,3,2,4,6,1]=>[1,5,4,6,3,7,2]=>{{1},{2,5},{3,4,6,7}}=>3
[3,5,2,4,7,1,6]=>[7,5,3,2,4,1,6]=>[7,5,4,6,3,1,2]=>{{1,7},{2,5},{3,4,6}}=>3
[3,5,2,4,7,6,1]=>[6,5,3,2,4,7,1]=>[1,5,4,6,3,2,7]=>{{1},{2,5},{3,4,6},{7}}=>9
[3,5,2,6,1,4,7]=>[6,5,3,1,2,4,7]=>[5,6,4,7,3,2,1]=>{{1,5},{2,6},{3,4,7}}=>3
[3,5,2,6,1,7,4]=>[6,5,3,7,2,1,4]=>[7,6,4,1,3,2,5]=>{{1,7},{2,6},{3,4},{5}}=>7
[3,5,2,6,4,1,7]=>[4,6,3,5,1,2,7]=>[6,7,4,2,5,3,1]=>{{1,6},{2,7},{3,4},{5}}=>7
[3,5,2,6,4,7,1]=>[7,5,3,6,2,4,1]=>[1,6,4,7,3,5,2]=>{{1},{2,6},{3,4,7},{5}}=>7
[3,5,2,6,7,1,4]=>[7,5,3,1,2,6,4]=>[5,6,4,1,3,7,2]=>{{1,5},{2,6,7},{3,4}}=>3
[3,5,2,6,7,4,1]=>[4,7,3,5,1,6,2]=>[6,1,4,2,5,7,3]=>{{1,6,7},{2},{3,4},{5}}=>7
[3,5,2,7,1,4,6]=>[7,5,3,1,2,4,6]=>[5,6,4,7,3,1,2]=>{{1,5},{2,6},{3,4,7}}=>3
[3,5,2,7,1,6,4]=>[7,5,3,6,2,1,4]=>[7,6,4,1,3,5,2]=>{{1,7},{2,6},{3,4},{5}}=>7
[3,5,2,7,4,1,6]=>[4,7,3,5,1,2,6]=>[6,7,4,2,5,1,3]=>{{1,6},{2,7},{3,4},{5}}=>7
[3,5,2,7,4,6,1]=>[6,5,3,7,2,4,1]=>[1,6,4,7,3,2,5]=>{{1},{2,6},{3,4,7},{5}}=>7
[3,5,2,7,6,1,4]=>[6,5,3,1,2,7,4]=>[5,6,4,1,3,2,7]=>{{1,5},{2,6},{3,4},{7}}=>9
[3,5,2,7,6,4,1]=>[4,6,3,5,1,7,2]=>[6,1,4,2,5,3,7]=>{{1,6},{2},{3,4},{5},{7}}=>13
[3,5,4,1,2,6,7]=>[4,1,3,5,2,6,7]=>[3,6,4,2,5,7,1]=>{{1,3,4},{2,6,7},{5}}=>5
[3,5,4,1,2,7,6]=>[4,1,3,5,2,7,6]=>[3,6,4,2,5,1,7]=>{{1,3,4},{2,6},{5},{7}}=>11
[3,5,4,1,6,2,7]=>[4,5,3,6,2,1,7]=>[7,6,4,2,3,5,1]=>{{1,7},{2,6},{3,4},{5}}=>7
[3,5,4,1,6,7,2]=>[4,5,3,7,2,6,1]=>[1,6,4,2,3,7,5]=>{{1},{2,6,7},{3,4},{5}}=>7
[3,5,4,1,7,2,6]=>[4,5,3,7,2,1,6]=>[7,6,4,2,3,1,5]=>{{1,7},{2,6},{3,4},{5}}=>7
[3,5,4,1,7,6,2]=>[4,5,3,6,2,7,1]=>[1,6,4,2,3,5,7]=>{{1},{2,6},{3,4},{5},{7}}=>13
[3,5,4,2,1,6,7]=>[2,4,3,5,1,6,7]=>[6,2,4,3,5,7,1]=>{{1,6,7},{2},{3,4},{5}}=>7
[3,5,4,2,1,7,6]=>[2,4,3,5,1,7,6]=>[6,2,4,3,5,1,7]=>{{1,6},{2},{3,4},{5},{7}}=>13
[3,5,4,2,6,1,7]=>[6,4,3,5,2,1,7]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>7
[3,5,4,2,6,7,1]=>[7,4,3,5,2,6,1]=>[1,6,4,3,5,7,2]=>{{1},{2,6,7},{3,4},{5}}=>7
[3,5,4,2,7,1,6]=>[7,4,3,5,2,1,6]=>[7,6,4,3,5,1,2]=>{{1,7},{2,6},{3,4},{5}}=>7
[3,5,4,2,7,6,1]=>[6,4,3,5,2,7,1]=>[1,6,4,3,5,2,7]=>{{1},{2,6},{3,4},{5},{7}}=>13
[3,5,4,6,1,2,7]=>[6,1,3,5,4,2,7]=>[3,7,4,6,5,2,1]=>{{1,3,4,6},{2,7},{5}}=>5
[3,5,4,6,1,7,2]=>[6,7,3,5,4,1,2]=>[7,1,4,6,5,2,3]=>{{1,7},{2},{3,4,6},{5}}=>7
[3,5,4,6,2,1,7]=>[2,6,3,5,4,1,7]=>[7,2,4,6,5,3,1]=>{{1,7},{2},{3,4,6},{5}}=>7
[3,5,4,6,2,7,1]=>[7,6,3,5,4,2,1]=>[1,7,4,6,5,3,2]=>{{1},{2,7},{3,4,6},{5}}=>7
[3,5,4,6,7,1,2]=>[7,1,3,5,4,6,2]=>[3,1,4,6,5,7,2]=>{{1,3,4,6,7},{2},{5}}=>5
[3,5,4,6,7,2,1]=>[2,7,3,5,4,6,1]=>[1,2,4,6,5,7,3]=>{{1},{2},{3,4,6,7},{5}}=>7
[3,5,4,7,1,2,6]=>[7,1,3,5,4,2,6]=>[3,7,4,6,5,1,2]=>{{1,3,4,6},{2,7},{5}}=>5
[3,5,4,7,1,6,2]=>[7,6,3,5,4,1,2]=>[7,1,4,6,5,3,2]=>{{1,7},{2},{3,4,6},{5}}=>7
[3,5,4,7,2,1,6]=>[2,7,3,5,4,1,6]=>[7,2,4,6,5,1,3]=>{{1,7},{2},{3,4,6},{5}}=>7
[3,5,4,7,2,6,1]=>[6,7,3,5,4,2,1]=>[1,7,4,6,5,2,3]=>{{1},{2,7},{3,4,6},{5}}=>7
[3,5,4,7,6,1,2]=>[6,1,3,5,4,7,2]=>[3,1,4,6,5,2,7]=>{{1,3,4,6},{2},{5},{7}}=>11
[3,5,4,7,6,2,1]=>[2,6,3,5,4,7,1]=>[1,2,4,6,5,3,7]=>{{1},{2},{3,4,6},{5},{7}}=>13
[3,5,6,1,2,4,7]=>[6,1,3,2,5,4,7]=>[3,5,4,7,6,2,1]=>{{1,3,4,7},{2,5,6}}=>1
[3,5,6,1,2,7,4]=>[6,1,3,7,5,2,4]=>[3,7,4,1,6,2,5]=>{{1,3,4},{2,7},{5,6}}=>5
[3,5,6,1,4,2,7]=>[6,4,3,1,5,2,7]=>[5,7,4,3,6,2,1]=>{{1,5,6},{2,7},{3,4}}=>3
[3,5,6,1,4,7,2]=>[6,7,3,1,5,4,2]=>[5,1,4,7,6,2,3]=>{{1,5,6},{2},{3,4,7}}=>3
[3,5,6,1,7,2,4]=>[6,7,3,2,5,1,4]=>[7,5,4,1,6,2,3]=>{{1,7},{2,5,6},{3,4}}=>3
[3,5,6,1,7,4,2]=>[6,4,3,7,5,1,2]=>[7,1,4,3,6,2,5]=>{{1,7},{2},{3,4},{5,6}}=>7
[3,5,6,2,1,4,7]=>[2,6,3,1,5,4,7]=>[5,2,4,7,6,3,1]=>{{1,5,6},{2},{3,4,7}}=>3
[3,5,6,2,1,7,4]=>[2,6,3,7,5,1,4]=>[7,2,4,1,6,3,5]=>{{1,7},{2},{3,4},{5,6}}=>7
[3,5,6,2,4,1,7]=>[4,6,3,2,5,1,7]=>[7,5,4,2,6,3,1]=>{{1,7},{2,5,6},{3,4}}=>3
[3,5,6,2,4,7,1]=>[7,6,3,2,5,4,1]=>[1,5,4,7,6,3,2]=>{{1},{2,5,6},{3,4,7}}=>3
[3,5,6,2,7,1,4]=>[7,6,3,1,5,2,4]=>[5,7,4,1,6,3,2]=>{{1,5,6},{2,7},{3,4}}=>3
[3,5,6,2,7,4,1]=>[4,7,3,6,5,1,2]=>[7,1,4,2,6,5,3]=>{{1,7},{2},{3,4},{5,6}}=>7
[3,5,6,4,1,2,7]=>[4,1,3,6,5,2,7]=>[3,7,4,2,6,5,1]=>{{1,3,4},{2,7},{5,6}}=>5
[3,5,6,4,1,7,2]=>[4,6,3,7,5,2,1]=>[1,7,4,2,6,3,5]=>{{1},{2,7},{3,4},{5,6}}=>7
[3,5,6,4,2,1,7]=>[2,4,3,6,5,1,7]=>[7,2,4,3,6,5,1]=>{{1,7},{2},{3,4},{5,6}}=>7
[3,5,6,4,2,7,1]=>[7,4,3,6,5,2,1]=>[1,7,4,3,6,5,2]=>{{1},{2,7},{3,4},{5,6}}=>7
[3,5,6,4,7,1,2]=>[7,1,3,6,5,4,2]=>[3,1,4,7,6,5,2]=>{{1,3,4,7},{2},{5,6}}=>5
[3,5,6,4,7,2,1]=>[2,7,3,6,5,4,1]=>[1,2,4,7,6,5,3]=>{{1},{2},{3,4,7},{5,6}}=>7
[3,5,6,7,1,2,4]=>[7,1,3,2,5,6,4]=>[3,5,4,1,6,7,2]=>{{1,3,4},{2,5,6,7}}=>1
[3,5,6,7,1,4,2]=>[7,4,3,1,5,6,2]=>[5,1,4,3,6,7,2]=>{{1,5,6,7},{2},{3,4}}=>3
[3,5,6,7,2,1,4]=>[2,7,3,1,5,6,4]=>[5,2,4,1,6,7,3]=>{{1,5,6,7},{2},{3,4}}=>3
[3,5,6,7,2,4,1]=>[4,7,3,2,5,6,1]=>[1,5,4,2,6,7,3]=>{{1},{2,5,6,7},{3,4}}=>3
[3,5,6,7,4,1,2]=>[4,1,3,7,5,6,2]=>[3,1,4,2,6,7,5]=>{{1,3,4},{2},{5,6,7}}=>5
[3,5,6,7,4,2,1]=>[2,4,3,7,5,6,1]=>[1,2,4,3,6,7,5]=>{{1},{2},{3,4},{5,6,7}}=>7
[3,5,7,1,2,4,6]=>[7,1,3,2,5,4,6]=>[3,5,4,7,6,1,2]=>{{1,3,4,7},{2,5,6}}=>1
[3,5,7,1,2,6,4]=>[7,1,3,6,5,2,4]=>[3,7,4,1,6,5,2]=>{{1,3,4},{2,7},{5,6}}=>5
[3,5,7,1,4,2,6]=>[7,4,3,1,5,2,6]=>[5,7,4,3,6,1,2]=>{{1,5,6},{2,7},{3,4}}=>3
[3,5,7,1,4,6,2]=>[7,6,3,1,5,4,2]=>[5,1,4,7,6,3,2]=>{{1,5,6},{2},{3,4,7}}=>3
[3,5,7,1,6,2,4]=>[7,6,3,2,5,1,4]=>[7,5,4,1,6,3,2]=>{{1,7},{2,5,6},{3,4}}=>3
[3,5,7,1,6,4,2]=>[7,4,3,6,5,1,2]=>[7,1,4,3,6,5,2]=>{{1,7},{2},{3,4},{5,6}}=>7
[3,5,7,2,1,4,6]=>[2,7,3,1,5,4,6]=>[5,2,4,7,6,1,3]=>{{1,5,6},{2},{3,4,7}}=>3
[3,5,7,2,1,6,4]=>[2,7,3,6,5,1,4]=>[7,2,4,1,6,5,3]=>{{1,7},{2},{3,4},{5,6}}=>7
[3,5,7,2,4,1,6]=>[4,7,3,2,5,1,6]=>[7,5,4,2,6,1,3]=>{{1,7},{2,5,6},{3,4}}=>3
[3,5,7,2,4,6,1]=>[6,7,3,2,5,4,1]=>[1,5,4,7,6,2,3]=>{{1},{2,5,6},{3,4,7}}=>3
[3,5,7,2,6,1,4]=>[6,7,3,1,5,2,4]=>[5,7,4,1,6,2,3]=>{{1,5,6},{2,7},{3,4}}=>3
[3,5,7,2,6,4,1]=>[4,6,3,7,5,1,2]=>[7,1,4,2,6,3,5]=>{{1,7},{2},{3,4},{5,6}}=>7
[3,5,7,4,1,2,6]=>[4,1,3,7,5,2,6]=>[3,7,4,2,6,1,5]=>{{1,3,4},{2,7},{5,6}}=>5
[3,5,7,4,1,6,2]=>[4,7,3,6,5,2,1]=>[1,7,4,2,6,5,3]=>{{1},{2,7},{3,4},{5,6}}=>7
[3,5,7,4,2,1,6]=>[2,4,3,7,5,1,6]=>[7,2,4,3,6,1,5]=>{{1,7},{2},{3,4},{5,6}}=>7
[3,5,7,4,2,6,1]=>[6,4,3,7,5,2,1]=>[1,7,4,3,6,2,5]=>{{1},{2,7},{3,4},{5,6}}=>7
[3,5,7,4,6,1,2]=>[6,1,3,7,5,4,2]=>[3,1,4,7,6,2,5]=>{{1,3,4,7},{2},{5,6}}=>5
[3,5,7,4,6,2,1]=>[2,6,3,7,5,4,1]=>[1,2,4,7,6,3,5]=>{{1},{2},{3,4,7},{5,6}}=>7
[3,5,7,6,1,2,4]=>[6,1,3,2,5,7,4]=>[3,5,4,1,6,2,7]=>{{1,3,4},{2,5,6},{7}}=>7
[3,5,7,6,1,4,2]=>[6,4,3,1,5,7,2]=>[5,1,4,3,6,2,7]=>{{1,5,6},{2},{3,4},{7}}=>9
[3,5,7,6,2,1,4]=>[2,6,3,1,5,7,4]=>[5,2,4,1,6,3,7]=>{{1,5,6},{2},{3,4},{7}}=>9
[3,5,7,6,2,4,1]=>[4,6,3,2,5,7,1]=>[1,5,4,2,6,3,7]=>{{1},{2,5,6},{3,4},{7}}=>9
[3,5,7,6,4,1,2]=>[4,1,3,6,5,7,2]=>[3,1,4,2,6,5,7]=>{{1,3,4},{2},{5,6},{7}}=>11
[3,5,7,6,4,2,1]=>[2,4,3,6,5,7,1]=>[1,2,4,3,6,5,7]=>{{1},{2},{3,4},{5,6},{7}}=>13
[3,6,1,2,4,5,7]=>[6,1,3,2,4,5,7]=>[3,5,4,6,7,2,1]=>{{1,3,4,6},{2,5,7}}=>1
[3,6,1,2,4,7,5]=>[6,1,3,2,7,4,5]=>[3,5,4,7,1,2,6]=>{{1,3,4,7},{2,5},{6}}=>6
[3,6,1,2,5,4,7]=>[6,1,3,5,2,4,7]=>[3,6,4,7,5,2,1]=>{{1,3,4,7},{2,6},{5}}=>5
[3,6,1,2,5,7,4]=>[6,1,3,7,2,5,4]=>[3,6,4,1,7,2,5]=>{{1,3,4},{2,6},{5,7}}=>5
[3,6,1,2,7,4,5]=>[6,1,3,7,4,2,5]=>[3,7,4,6,1,2,5]=>{{1,3,4,6},{2,7},{5}}=>5
[3,6,1,2,7,5,4]=>[6,1,3,5,7,2,4]=>[3,7,4,1,5,2,6]=>{{1,3,4},{2,7},{5},{6}}=>10
[3,6,1,4,2,5,7]=>[6,4,3,1,2,5,7]=>[5,6,4,3,7,2,1]=>{{1,5,7},{2,6},{3,4}}=>3
[3,6,1,4,2,7,5]=>[6,4,3,1,7,2,5]=>[5,7,4,3,1,2,6]=>{{1,5},{2,7},{3,4},{6}}=>8
[3,6,1,4,5,2,7]=>[6,5,3,1,4,2,7]=>[5,7,4,6,3,2,1]=>{{1,5},{2,7},{3,4,6}}=>3
[3,6,1,4,5,7,2]=>[6,7,3,1,2,4,5]=>[5,6,4,7,1,2,3]=>{{1,5},{2,6},{3,4,7}}=>3
[3,6,1,4,7,2,5]=>[6,7,3,1,4,5,2]=>[5,1,4,6,7,2,3]=>{{1,5,7},{2},{3,4,6}}=>3
[3,6,1,4,7,5,2]=>[6,5,3,1,7,4,2]=>[5,1,4,7,3,2,6]=>{{1,5},{2},{3,4,7},{6}}=>8
[3,6,1,5,2,4,7]=>[6,5,3,2,1,4,7]=>[6,5,4,7,3,2,1]=>{{1,6},{2,5},{3,4,7}}=>3
[3,6,1,5,2,7,4]=>[6,5,3,7,1,2,4]=>[6,7,4,1,3,2,5]=>{{1,6},{2,7},{3,4},{5}}=>7
[3,6,1,5,4,2,7]=>[6,4,3,5,1,2,7]=>[6,7,4,3,5,2,1]=>{{1,6},{2,7},{3,4},{5}}=>7
[3,6,1,5,4,7,2]=>[6,7,3,5,1,4,2]=>[6,1,4,7,5,2,3]=>{{1,6},{2},{3,4,7},{5}}=>7
[3,6,1,5,7,2,4]=>[6,7,3,2,1,5,4]=>[6,5,4,1,7,2,3]=>{{1,6},{2,5,7},{3,4}}=>3
[3,6,1,5,7,4,2]=>[6,4,3,7,1,5,2]=>[6,1,4,3,7,2,5]=>{{1,6},{2},{3,4},{5,7}}=>7
[3,6,1,7,2,4,5]=>[6,7,3,2,4,1,5]=>[7,5,4,6,1,2,3]=>{{1,7},{2,5},{3,4,6}}=>3
[3,6,1,7,2,5,4]=>[6,7,3,5,2,1,4]=>[7,6,4,1,5,2,3]=>{{1,7},{2,6},{3,4},{5}}=>7
[3,6,1,7,4,2,5]=>[6,4,3,7,2,1,5]=>[7,6,4,3,1,2,5]=>{{1,7},{2,6},{3,4},{5}}=>7
[3,6,1,7,4,5,2]=>[6,5,3,7,4,1,2]=>[7,1,4,6,3,2,5]=>{{1,7},{2},{3,4,6},{5}}=>7
[3,6,1,7,5,2,4]=>[6,5,3,2,7,1,4]=>[7,5,4,1,3,2,6]=>{{1,7},{2,5},{3,4},{6}}=>8
[3,6,1,7,5,4,2]=>[6,4,3,5,7,1,2]=>[7,1,4,3,5,2,6]=>{{1,7},{2},{3,4},{5},{6}}=>12
[3,6,2,1,4,5,7]=>[2,6,3,1,4,5,7]=>[5,2,4,6,7,3,1]=>{{1,5,7},{2},{3,4,6}}=>3
[3,6,2,1,4,7,5]=>[2,6,3,1,7,4,5]=>[5,2,4,7,1,3,6]=>{{1,5},{2},{3,4,7},{6}}=>8
[3,6,2,1,5,4,7]=>[2,6,3,5,1,4,7]=>[6,2,4,7,5,3,1]=>{{1,6},{2},{3,4,7},{5}}=>7
[3,6,2,1,5,7,4]=>[2,6,3,7,1,5,4]=>[6,2,4,1,7,3,5]=>{{1,6},{2},{3,4},{5,7}}=>7
[3,6,2,1,7,4,5]=>[2,6,3,7,4,1,5]=>[7,2,4,6,1,3,5]=>{{1,7},{2},{3,4,6},{5}}=>7
[3,6,2,1,7,5,4]=>[2,6,3,5,7,1,4]=>[7,2,4,1,5,3,6]=>{{1,7},{2},{3,4},{5},{6}}=>12
[3,6,2,4,1,5,7]=>[4,6,3,2,1,5,7]=>[6,5,4,2,7,3,1]=>{{1,6},{2,5,7},{3,4}}=>3
[3,6,2,4,1,7,5]=>[4,6,3,2,7,1,5]=>[7,5,4,2,1,3,6]=>{{1,7},{2,5},{3,4},{6}}=>8
[3,6,2,4,5,1,7]=>[5,6,3,2,4,1,7]=>[7,5,4,6,2,3,1]=>{{1,7},{2,5},{3,4,6}}=>3
[3,6,2,4,5,7,1]=>[7,6,3,2,4,5,1]=>[1,5,4,6,7,3,2]=>{{1},{2,5,7},{3,4,6}}=>3
[3,6,2,4,7,1,5]=>[7,6,3,2,1,4,5]=>[6,5,4,7,1,3,2]=>{{1,6},{2,5},{3,4,7}}=>3
[3,6,2,4,7,5,1]=>[5,7,3,2,6,1,4]=>[7,5,4,1,2,6,3]=>{{1,7},{2,5},{3,4},{6}}=>8
[3,6,2,5,1,4,7]=>[5,6,3,1,2,4,7]=>[5,6,4,7,2,3,1]=>{{1,5},{2,6},{3,4,7}}=>3
[3,6,2,5,1,7,4]=>[5,6,3,7,2,1,4]=>[7,6,4,1,2,3,5]=>{{1,7},{2,6},{3,4},{5}}=>7
[3,6,2,5,4,1,7]=>[4,5,3,6,1,2,7]=>[6,7,4,2,3,5,1]=>{{1,6},{2,7},{3,4},{5}}=>7
[3,6,2,5,4,7,1]=>[7,6,3,5,2,4,1]=>[1,6,4,7,5,3,2]=>{{1},{2,6},{3,4,7},{5}}=>7
[3,6,2,5,7,1,4]=>[7,6,3,1,4,2,5]=>[5,7,4,6,1,3,2]=>{{1,5},{2,7},{3,4,6}}=>3
[3,6,2,5,7,4,1]=>[4,7,3,6,2,1,5]=>[7,6,4,2,1,5,3]=>{{1,7},{2,6},{3,4},{5}}=>7
[3,6,2,7,1,4,5]=>[7,6,3,1,2,5,4]=>[5,6,4,1,7,3,2]=>{{1,5,7},{2,6},{3,4}}=>3
[3,6,2,7,1,5,4]=>[7,6,3,5,1,2,4]=>[6,7,4,1,5,3,2]=>{{1,6},{2,7},{3,4},{5}}=>7
[3,6,2,7,4,1,5]=>[4,7,3,6,1,5,2]=>[6,1,4,2,7,5,3]=>{{1,6},{2},{3,4},{5,7}}=>7
[3,6,2,7,4,5,1]=>[5,6,3,7,4,2,1]=>[1,7,4,6,2,3,5]=>{{1},{2,7},{3,4,6},{5}}=>7
[3,6,2,7,5,1,4]=>[5,7,3,1,6,4,2]=>[5,1,4,7,2,6,3]=>{{1,5},{2},{3,4,7},{6}}=>8
[3,6,2,7,5,4,1]=>[4,5,3,7,6,2,1]=>[1,7,4,2,3,6,5]=>{{1},{2,7},{3,4},{5},{6}}=>12
[3,6,4,1,2,5,7]=>[4,1,3,6,2,5,7]=>[3,6,4,2,7,5,1]=>{{1,3,4},{2,6},{5,7}}=>5
[3,6,4,1,2,7,5]=>[4,1,3,6,7,2,5]=>[3,7,4,2,1,5,6]=>{{1,3,4},{2,7},{5},{6}}=>10
[3,6,4,1,5,2,7]=>[4,6,3,5,2,1,7]=>[7,6,4,2,5,3,1]=>{{1,7},{2,6},{3,4},{5}}=>7
[3,6,4,1,5,7,2]=>[4,6,3,7,1,2,5]=>[6,7,4,2,1,3,5]=>{{1,6},{2,7},{3,4},{5}}=>7
[3,6,4,1,7,2,5]=>[4,6,3,7,2,5,1]=>[1,6,4,2,7,3,5]=>{{1},{2,6},{3,4},{5,7}}=>7
[3,6,4,1,7,5,2]=>[4,6,3,5,7,2,1]=>[1,7,4,2,5,3,6]=>{{1},{2,7},{3,4},{5},{6}}=>12
[3,6,4,2,1,5,7]=>[2,4,3,6,1,5,7]=>[6,2,4,3,7,5,1]=>{{1,6},{2},{3,4},{5,7}}=>7
[3,6,4,2,1,7,5]=>[2,4,3,6,7,1,5]=>[7,2,4,3,1,5,6]=>{{1,7},{2},{3,4},{5},{6}}=>12
[3,6,4,2,5,1,7]=>[5,4,3,6,2,1,7]=>[7,6,4,3,2,5,1]=>{{1,7},{2,6},{3,4},{5}}=>7
[3,6,4,2,5,7,1]=>[7,4,3,6,2,5,1]=>[1,6,4,3,7,5,2]=>{{1},{2,6},{3,4},{5,7}}=>7
[3,6,4,2,7,1,5]=>[7,4,3,6,1,2,5]=>[6,7,4,3,1,5,2]=>{{1,6},{2,7},{3,4},{5}}=>7
[3,6,4,2,7,5,1]=>[5,4,3,7,6,1,2]=>[7,1,4,3,2,6,5]=>{{1,7},{2},{3,4},{5},{6}}=>12
[3,6,4,5,1,2,7]=>[5,1,3,6,4,2,7]=>[3,7,4,6,2,5,1]=>{{1,3,4,6},{2,7},{5}}=>5
[3,6,4,5,1,7,2]=>[5,7,3,6,4,1,2]=>[7,1,4,6,2,5,3]=>{{1,7},{2},{3,4,6},{5}}=>7
[3,6,4,5,2,1,7]=>[2,5,3,6,4,1,7]=>[7,2,4,6,3,5,1]=>{{1,7},{2},{3,4,6},{5}}=>7
[3,6,4,5,2,7,1]=>[7,5,3,6,4,2,1]=>[1,7,4,6,3,5,2]=>{{1},{2,7},{3,4,6},{5}}=>7
[3,6,4,5,7,1,2]=>[7,1,3,6,4,5,2]=>[3,1,4,6,7,5,2]=>{{1,3,4,6},{2},{5,7}}=>5
[3,6,4,5,7,2,1]=>[2,7,3,6,4,5,1]=>[1,2,4,6,7,5,3]=>{{1},{2},{3,4,6},{5,7}}=>7
[3,6,4,7,1,2,5]=>[7,1,3,6,2,4,5]=>[3,6,4,7,1,5,2]=>{{1,3,4,7},{2,6},{5}}=>5
[3,6,4,7,1,5,2]=>[7,5,3,6,1,4,2]=>[6,1,4,7,3,5,2]=>{{1,6},{2},{3,4,7},{5}}=>7
[3,6,4,7,2,1,5]=>[2,7,3,6,1,4,5]=>[6,2,4,7,1,5,3]=>{{1,6},{2},{3,4,7},{5}}=>7
[3,6,4,7,2,5,1]=>[5,7,3,6,2,4,1]=>[1,6,4,7,2,5,3]=>{{1},{2,6},{3,4,7},{5}}=>7
[3,6,4,7,5,1,2]=>[5,1,3,7,6,2,4]=>[3,7,4,1,2,6,5]=>{{1,3,4},{2,7},{5},{6}}=>10
[3,6,4,7,5,2,1]=>[2,5,3,7,6,1,4]=>[7,2,4,1,3,6,5]=>{{1,7},{2},{3,4},{5},{6}}=>12
[3,6,5,1,2,4,7]=>[5,1,3,2,6,4,7]=>[3,5,4,7,2,6,1]=>{{1,3,4,7},{2,5},{6}}=>6
[3,6,5,1,2,7,4]=>[5,1,3,6,7,4,2]=>[3,1,4,7,2,5,6]=>{{1,3,4,7},{2},{5},{6}}=>10
[3,6,5,1,4,2,7]=>[5,4,3,1,6,2,7]=>[5,7,4,3,2,6,1]=>{{1,5},{2,7},{3,4},{6}}=>8
[3,6,5,1,4,7,2]=>[5,6,3,1,7,2,4]=>[5,7,4,1,2,3,6]=>{{1,5},{2,7},{3,4},{6}}=>8
[3,6,5,1,7,2,4]=>[5,6,3,2,7,4,1]=>[1,5,4,7,2,3,6]=>{{1},{2,5},{3,4,7},{6}}=>8
[3,6,5,1,7,4,2]=>[5,4,3,6,7,2,1]=>[1,7,4,3,2,5,6]=>{{1},{2,7},{3,4},{5},{6}}=>12
[3,6,5,2,1,4,7]=>[2,5,3,1,6,4,7]=>[5,2,4,7,3,6,1]=>{{1,5},{2},{3,4,7},{6}}=>8
[3,6,5,2,1,7,4]=>[2,5,3,6,7,4,1]=>[1,2,4,7,3,5,6]=>{{1},{2},{3,4,7},{5},{6}}=>12
[3,6,5,2,4,1,7]=>[4,5,3,2,6,1,7]=>[7,5,4,2,3,6,1]=>{{1,7},{2,5},{3,4},{6}}=>8
[3,6,5,2,4,7,1]=>[7,5,3,2,6,4,1]=>[1,5,4,7,3,6,2]=>{{1},{2,5},{3,4,7},{6}}=>8
[3,6,5,2,7,1,4]=>[7,5,3,1,6,2,4]=>[5,7,4,1,3,6,2]=>{{1,5},{2,7},{3,4},{6}}=>8
[3,6,5,2,7,4,1]=>[4,7,3,5,6,1,2]=>[7,1,4,2,5,6,3]=>{{1,7},{2},{3,4},{5},{6}}=>12
[3,6,5,4,1,2,7]=>[4,1,3,5,6,2,7]=>[3,7,4,2,5,6,1]=>{{1,3,4},{2,7},{5},{6}}=>10
[3,6,5,4,1,7,2]=>[4,5,3,6,7,1,2]=>[7,1,4,2,3,5,6]=>{{1,7},{2},{3,4},{5},{6}}=>12
[3,6,5,4,2,1,7]=>[2,4,3,5,6,1,7]=>[7,2,4,3,5,6,1]=>{{1,7},{2},{3,4},{5},{6}}=>12
[3,6,5,4,2,7,1]=>[7,4,3,5,6,2,1]=>[1,7,4,3,5,6,2]=>{{1},{2,7},{3,4},{5},{6}}=>12
[3,6,5,4,7,1,2]=>[7,1,3,5,6,4,2]=>[3,1,4,7,5,6,2]=>{{1,3,4,7},{2},{5},{6}}=>10
[3,6,5,4,7,2,1]=>[2,7,3,5,6,4,1]=>[1,2,4,7,5,6,3]=>{{1},{2},{3,4,7},{5},{6}}=>12
[3,6,5,7,1,2,4]=>[7,1,3,2,6,5,4]=>[3,5,4,1,7,6,2]=>{{1,3,4},{2,5,7},{6}}=>6
[3,6,5,7,1,4,2]=>[7,4,3,1,6,5,2]=>[5,1,4,3,7,6,2]=>{{1,5,7},{2},{3,4},{6}}=>8
[3,6,5,7,2,1,4]=>[2,7,3,1,6,5,4]=>[5,2,4,1,7,6,3]=>{{1,5,7},{2},{3,4},{6}}=>8
[3,6,5,7,2,4,1]=>[4,7,3,2,6,5,1]=>[1,5,4,2,7,6,3]=>{{1},{2,5,7},{3,4},{6}}=>8
[3,6,5,7,4,1,2]=>[4,1,3,7,6,5,2]=>[3,1,4,2,7,6,5]=>{{1,3,4},{2},{5,7},{6}}=>10
[3,6,5,7,4,2,1]=>[2,4,3,7,6,5,1]=>[1,2,4,3,7,6,5]=>{{1},{2},{3,4},{5,7},{6}}=>12
[3,6,7,1,2,4,5]=>[7,1,3,2,4,6,5]=>[3,5,4,6,1,7,2]=>{{1,3,4,6,7},{2,5}}=>1
[3,6,7,1,2,5,4]=>[7,1,3,5,2,6,4]=>[3,6,4,1,5,7,2]=>{{1,3,4},{2,6,7},{5}}=>5
[3,6,7,1,4,2,5]=>[7,4,3,1,2,6,5]=>[5,6,4,3,1,7,2]=>{{1,5},{2,6,7},{3,4}}=>3
[3,6,7,1,4,5,2]=>[7,5,3,1,4,6,2]=>[5,1,4,6,3,7,2]=>{{1,5},{2},{3,4,6,7}}=>3
[3,6,7,1,5,2,4]=>[7,5,3,2,1,6,4]=>[6,5,4,1,3,7,2]=>{{1,6,7},{2,5},{3,4}}=>3
[3,6,7,1,5,4,2]=>[7,4,3,5,1,6,2]=>[6,1,4,3,5,7,2]=>{{1,6,7},{2},{3,4},{5}}=>7
[3,6,7,2,1,4,5]=>[2,7,3,1,4,6,5]=>[5,2,4,6,1,7,3]=>{{1,5},{2},{3,4,6,7}}=>3
[3,6,7,2,1,5,4]=>[2,7,3,5,1,6,4]=>[6,2,4,1,5,7,3]=>{{1,6,7},{2},{3,4},{5}}=>7
[3,6,7,2,4,1,5]=>[4,7,3,2,1,6,5]=>[6,5,4,2,1,7,3]=>{{1,6,7},{2,5},{3,4}}=>3
[3,6,7,2,4,5,1]=>[5,7,3,2,4,6,1]=>[1,5,4,6,2,7,3]=>{{1},{2,5},{3,4,6,7}}=>3
[3,6,7,2,5,1,4]=>[5,7,3,1,2,6,4]=>[5,6,4,1,2,7,3]=>{{1,5},{2,6,7},{3,4}}=>3
[3,6,7,2,5,4,1]=>[4,5,3,7,1,6,2]=>[6,1,4,2,3,7,5]=>{{1,6,7},{2},{3,4},{5}}=>7
[3,6,7,4,1,2,5]=>[4,1,3,7,2,6,5]=>[3,6,4,2,1,7,5]=>{{1,3,4},{2,6,7},{5}}=>5
[3,6,7,4,1,5,2]=>[4,7,3,5,2,6,1]=>[1,6,4,2,5,7,3]=>{{1},{2,6,7},{3,4},{5}}=>7
[3,6,7,4,2,1,5]=>[2,4,3,7,1,6,5]=>[6,2,4,3,1,7,5]=>{{1,6,7},{2},{3,4},{5}}=>7
[3,6,7,4,2,5,1]=>[5,4,3,7,2,6,1]=>[1,6,4,3,2,7,5]=>{{1},{2,6,7},{3,4},{5}}=>7
[3,6,7,4,5,1,2]=>[5,1,3,7,4,6,2]=>[3,1,4,6,2,7,5]=>{{1,3,4,6,7},{2},{5}}=>5
[3,6,7,4,5,2,1]=>[2,5,3,7,4,6,1]=>[1,2,4,6,3,7,5]=>{{1},{2},{3,4,6,7},{5}}=>7
[3,6,7,5,1,2,4]=>[5,1,3,2,7,6,4]=>[3,5,4,1,2,7,6]=>{{1,3,4},{2,5},{6,7}}=>6
[3,6,7,5,1,4,2]=>[5,4,3,1,7,6,2]=>[5,1,4,3,2,7,6]=>{{1,5},{2},{3,4},{6,7}}=>8
[3,6,7,5,2,1,4]=>[2,5,3,1,7,6,4]=>[5,2,4,1,3,7,6]=>{{1,5},{2},{3,4},{6,7}}=>8
[3,6,7,5,2,4,1]=>[4,5,3,2,7,6,1]=>[1,5,4,2,3,7,6]=>{{1},{2,5},{3,4},{6,7}}=>8
[3,6,7,5,4,1,2]=>[4,1,3,5,7,6,2]=>[3,1,4,2,5,7,6]=>{{1,3,4},{2},{5},{6,7}}=>10
[3,6,7,5,4,2,1]=>[2,4,3,5,7,6,1]=>[1,2,4,3,5,7,6]=>{{1},{2},{3,4},{5},{6,7}}=>12
[3,7,1,2,4,5,6]=>[7,1,3,2,4,5,6]=>[3,5,4,6,7,1,2]=>{{1,3,4,6},{2,5,7}}=>1
[3,7,1,2,4,6,5]=>[7,1,3,2,6,4,5]=>[3,5,4,7,1,6,2]=>{{1,3,4,7},{2,5},{6}}=>6
[3,7,1,2,5,4,6]=>[7,1,3,5,2,4,6]=>[3,6,4,7,5,1,2]=>{{1,3,4,7},{2,6},{5}}=>5
[3,7,1,2,5,6,4]=>[7,1,3,6,2,5,4]=>[3,6,4,1,7,5,2]=>{{1,3,4},{2,6},{5,7}}=>5
[3,7,1,2,6,4,5]=>[7,1,3,6,4,2,5]=>[3,7,4,6,1,5,2]=>{{1,3,4,6},{2,7},{5}}=>5
[3,7,1,2,6,5,4]=>[7,1,3,5,6,2,4]=>[3,7,4,1,5,6,2]=>{{1,3,4},{2,7},{5},{6}}=>10
[3,7,1,4,2,5,6]=>[7,4,3,1,2,5,6]=>[5,6,4,3,7,1,2]=>{{1,5,7},{2,6},{3,4}}=>3
[3,7,1,4,2,6,5]=>[7,4,3,1,6,2,5]=>[5,7,4,3,1,6,2]=>{{1,5},{2,7},{3,4},{6}}=>8
[3,7,1,4,5,2,6]=>[7,5,3,1,4,2,6]=>[5,7,4,6,3,1,2]=>{{1,5},{2,7},{3,4,6}}=>3
[3,7,1,4,5,6,2]=>[7,6,3,1,2,4,5]=>[5,6,4,7,1,3,2]=>{{1,5},{2,6},{3,4,7}}=>3
[3,7,1,4,6,2,5]=>[7,6,3,1,4,5,2]=>[5,1,4,6,7,3,2]=>{{1,5,7},{2},{3,4,6}}=>3
[3,7,1,4,6,5,2]=>[7,5,3,1,6,4,2]=>[5,1,4,7,3,6,2]=>{{1,5},{2},{3,4,7},{6}}=>8
[3,7,1,5,2,4,6]=>[7,5,3,2,1,4,6]=>[6,5,4,7,3,1,2]=>{{1,6},{2,5},{3,4,7}}=>3
[3,7,1,5,2,6,4]=>[7,5,3,6,1,2,4]=>[6,7,4,1,3,5,2]=>{{1,6},{2,7},{3,4},{5}}=>7
[3,7,1,5,4,2,6]=>[7,4,3,5,1,2,6]=>[6,7,4,3,5,1,2]=>{{1,6},{2,7},{3,4},{5}}=>7
[3,7,1,5,4,6,2]=>[7,6,3,5,1,4,2]=>[6,1,4,7,5,3,2]=>{{1,6},{2},{3,4,7},{5}}=>7
[3,7,1,5,6,2,4]=>[7,6,3,2,1,5,4]=>[6,5,4,1,7,3,2]=>{{1,6},{2,5,7},{3,4}}=>3
[3,7,1,5,6,4,2]=>[7,4,3,6,1,5,2]=>[6,1,4,3,7,5,2]=>{{1,6},{2},{3,4},{5,7}}=>7
[3,7,1,6,2,4,5]=>[7,6,3,2,4,1,5]=>[7,5,4,6,1,3,2]=>{{1,7},{2,5},{3,4,6}}=>3
[3,7,1,6,2,5,4]=>[7,6,3,5,2,1,4]=>[7,6,4,1,5,3,2]=>{{1,7},{2,6},{3,4},{5}}=>7
[3,7,1,6,4,2,5]=>[7,4,3,6,2,1,5]=>[7,6,4,3,1,5,2]=>{{1,7},{2,6},{3,4},{5}}=>7
[3,7,1,6,4,5,2]=>[7,5,3,6,4,1,2]=>[7,1,4,6,3,5,2]=>{{1,7},{2},{3,4,6},{5}}=>7
[3,7,1,6,5,2,4]=>[7,5,3,2,6,1,4]=>[7,5,4,1,3,6,2]=>{{1,7},{2,5},{3,4},{6}}=>8
[3,7,1,6,5,4,2]=>[7,4,3,5,6,1,2]=>[7,1,4,3,5,6,2]=>{{1,7},{2},{3,4},{5},{6}}=>12
[3,7,2,1,4,5,6]=>[2,7,3,1,4,5,6]=>[5,2,4,6,7,1,3]=>{{1,5,7},{2},{3,4,6}}=>3
[3,7,2,1,4,6,5]=>[2,7,3,1,6,4,5]=>[5,2,4,7,1,6,3]=>{{1,5},{2},{3,4,7},{6}}=>8
[3,7,2,1,5,4,6]=>[2,7,3,5,1,4,6]=>[6,2,4,7,5,1,3]=>{{1,6},{2},{3,4,7},{5}}=>7
[3,7,2,1,5,6,4]=>[2,7,3,6,1,5,4]=>[6,2,4,1,7,5,3]=>{{1,6},{2},{3,4},{5,7}}=>7
[3,7,2,1,6,4,5]=>[2,7,3,6,4,1,5]=>[7,2,4,6,1,5,3]=>{{1,7},{2},{3,4,6},{5}}=>7
[3,7,2,1,6,5,4]=>[2,7,3,5,6,1,4]=>[7,2,4,1,5,6,3]=>{{1,7},{2},{3,4},{5},{6}}=>12
[3,7,2,4,1,5,6]=>[4,7,3,2,1,5,6]=>[6,5,4,2,7,1,3]=>{{1,6},{2,5,7},{3,4}}=>3
[3,7,2,4,1,6,5]=>[4,7,3,2,6,1,5]=>[7,5,4,2,1,6,3]=>{{1,7},{2,5},{3,4},{6}}=>8
[3,7,2,4,5,1,6]=>[5,7,3,2,4,1,6]=>[7,5,4,6,2,1,3]=>{{1,7},{2,5},{3,4,6}}=>3
[3,7,2,4,5,6,1]=>[6,7,3,2,4,5,1]=>[1,5,4,6,7,2,3]=>{{1},{2,5,7},{3,4,6}}=>3
[3,7,2,4,6,1,5]=>[6,7,3,2,1,4,5]=>[6,5,4,7,1,2,3]=>{{1,6},{2,5},{3,4,7}}=>3
[3,7,2,4,6,5,1]=>[5,6,3,2,7,1,4]=>[7,5,4,1,2,3,6]=>{{1,7},{2,5},{3,4},{6}}=>8
[3,7,2,5,1,4,6]=>[5,7,3,1,2,4,6]=>[5,6,4,7,2,1,3]=>{{1,5},{2,6},{3,4,7}}=>3
[3,7,2,5,1,6,4]=>[5,7,3,6,2,1,4]=>[7,6,4,1,2,5,3]=>{{1,7},{2,6},{3,4},{5}}=>7
[3,7,2,5,4,1,6]=>[4,5,3,7,1,2,6]=>[6,7,4,2,3,1,5]=>{{1,6},{2,7},{3,4},{5}}=>7
[3,7,2,5,4,6,1]=>[6,7,3,5,2,4,1]=>[1,6,4,7,5,2,3]=>{{1},{2,6},{3,4,7},{5}}=>7
[3,7,2,5,6,1,4]=>[6,7,3,1,4,2,5]=>[5,7,4,6,1,2,3]=>{{1,5},{2,7},{3,4,6}}=>3
[3,7,2,5,6,4,1]=>[4,6,3,7,2,1,5]=>[7,6,4,2,1,3,5]=>{{1,7},{2,6},{3,4},{5}}=>7
[3,7,2,6,1,4,5]=>[6,7,3,1,2,5,4]=>[5,6,4,1,7,2,3]=>{{1,5,7},{2,6},{3,4}}=>3
[3,7,2,6,1,5,4]=>[6,7,3,5,1,2,4]=>[6,7,4,1,5,2,3]=>{{1,6},{2,7},{3,4},{5}}=>7
[3,7,2,6,4,1,5]=>[4,6,3,7,1,5,2]=>[6,1,4,2,7,3,5]=>{{1,6},{2},{3,4},{5,7}}=>7
[3,7,2,6,4,5,1]=>[5,7,3,6,4,2,1]=>[1,7,4,6,2,5,3]=>{{1},{2,7},{3,4,6},{5}}=>7
[3,7,2,6,5,1,4]=>[5,6,3,1,7,4,2]=>[5,1,4,7,2,3,6]=>{{1,5},{2},{3,4,7},{6}}=>8
[3,7,2,6,5,4,1]=>[4,5,3,6,7,2,1]=>[1,7,4,2,3,5,6]=>{{1},{2,7},{3,4},{5},{6}}=>12
[3,7,4,1,2,5,6]=>[4,1,3,7,2,5,6]=>[3,6,4,2,7,1,5]=>{{1,3,4},{2,6},{5,7}}=>5
[3,7,4,1,2,6,5]=>[4,1,3,7,6,2,5]=>[3,7,4,2,1,6,5]=>{{1,3,4},{2,7},{5},{6}}=>10
[3,7,4,1,5,2,6]=>[4,7,3,5,2,1,6]=>[7,6,4,2,5,1,3]=>{{1,7},{2,6},{3,4},{5}}=>7
[3,7,4,1,5,6,2]=>[4,7,3,6,1,2,5]=>[6,7,4,2,1,5,3]=>{{1,6},{2,7},{3,4},{5}}=>7
[3,7,4,1,6,2,5]=>[4,7,3,6,2,5,1]=>[1,6,4,2,7,5,3]=>{{1},{2,6},{3,4},{5,7}}=>7
[3,7,4,1,6,5,2]=>[4,7,3,5,6,2,1]=>[1,7,4,2,5,6,3]=>{{1},{2,7},{3,4},{5},{6}}=>12
[3,7,4,2,1,5,6]=>[2,4,3,7,1,5,6]=>[6,2,4,3,7,1,5]=>{{1,6},{2},{3,4},{5,7}}=>7
[3,7,4,2,1,6,5]=>[2,4,3,7,6,1,5]=>[7,2,4,3,1,6,5]=>{{1,7},{2},{3,4},{5},{6}}=>12
[3,7,4,2,5,1,6]=>[5,4,3,7,2,1,6]=>[7,6,4,3,2,1,5]=>{{1,7},{2,6},{3,4},{5}}=>7
[3,7,4,2,5,6,1]=>[6,4,3,7,2,5,1]=>[1,6,4,3,7,2,5]=>{{1},{2,6},{3,4},{5,7}}=>7
[3,7,4,2,6,1,5]=>[6,4,3,7,1,2,5]=>[6,7,4,3,1,2,5]=>{{1,6},{2,7},{3,4},{5}}=>7
[3,7,4,2,6,5,1]=>[5,4,3,6,7,1,2]=>[7,1,4,3,2,5,6]=>{{1,7},{2},{3,4},{5},{6}}=>12
[3,7,4,5,1,2,6]=>[5,1,3,7,4,2,6]=>[3,7,4,6,2,1,5]=>{{1,3,4,6},{2,7},{5}}=>5
[3,7,4,5,1,6,2]=>[5,6,3,7,4,1,2]=>[7,1,4,6,2,3,5]=>{{1,7},{2},{3,4,6},{5}}=>7
[3,7,4,5,2,1,6]=>[2,5,3,7,4,1,6]=>[7,2,4,6,3,1,5]=>{{1,7},{2},{3,4,6},{5}}=>7
[3,7,4,5,2,6,1]=>[6,5,3,7,4,2,1]=>[1,7,4,6,3,2,5]=>{{1},{2,7},{3,4,6},{5}}=>7
[3,7,4,5,6,1,2]=>[6,1,3,7,4,5,2]=>[3,1,4,6,7,2,5]=>{{1,3,4,6},{2},{5,7}}=>5
[3,7,4,5,6,2,1]=>[2,6,3,7,4,5,1]=>[1,2,4,6,7,3,5]=>{{1},{2},{3,4,6},{5,7}}=>7
[3,7,4,6,1,2,5]=>[6,1,3,7,2,4,5]=>[3,6,4,7,1,2,5]=>{{1,3,4,7},{2,6},{5}}=>5
[3,7,4,6,1,5,2]=>[6,5,3,7,1,4,2]=>[6,1,4,7,3,2,5]=>{{1,6},{2},{3,4,7},{5}}=>7
[3,7,4,6,2,1,5]=>[2,6,3,7,1,4,5]=>[6,2,4,7,1,3,5]=>{{1,6},{2},{3,4,7},{5}}=>7
[3,7,4,6,2,5,1]=>[5,6,3,7,2,4,1]=>[1,6,4,7,2,3,5]=>{{1},{2,6},{3,4,7},{5}}=>7
[3,7,4,6,5,1,2]=>[5,1,3,6,7,2,4]=>[3,7,4,1,2,5,6]=>{{1,3,4},{2,7},{5},{6}}=>10
[3,7,4,6,5,2,1]=>[2,5,3,6,7,1,4]=>[7,2,4,1,3,5,6]=>{{1,7},{2},{3,4},{5},{6}}=>12
[3,7,5,1,2,4,6]=>[5,1,3,2,7,4,6]=>[3,5,4,7,2,1,6]=>{{1,3,4,7},{2,5},{6}}=>6
[3,7,5,1,2,6,4]=>[5,1,3,7,6,4,2]=>[3,1,4,7,2,6,5]=>{{1,3,4,7},{2},{5},{6}}=>10
[3,7,5,1,4,2,6]=>[5,4,3,1,7,2,6]=>[5,7,4,3,2,1,6]=>{{1,5},{2,7},{3,4},{6}}=>8
[3,7,5,1,4,6,2]=>[5,7,3,1,6,2,4]=>[5,7,4,1,2,6,3]=>{{1,5},{2,7},{3,4},{6}}=>8
[3,7,5,1,6,2,4]=>[5,7,3,2,6,4,1]=>[1,5,4,7,2,6,3]=>{{1},{2,5},{3,4,7},{6}}=>8
[3,7,5,1,6,4,2]=>[5,4,3,7,6,2,1]=>[1,7,4,3,2,6,5]=>{{1},{2,7},{3,4},{5},{6}}=>12
[3,7,5,2,1,4,6]=>[2,5,3,1,7,4,6]=>[5,2,4,7,3,1,6]=>{{1,5},{2},{3,4,7},{6}}=>8
[3,7,5,2,1,6,4]=>[2,5,3,7,6,4,1]=>[1,2,4,7,3,6,5]=>{{1},{2},{3,4,7},{5},{6}}=>12
[3,7,5,2,4,1,6]=>[4,5,3,2,7,1,6]=>[7,5,4,2,3,1,6]=>{{1,7},{2,5},{3,4},{6}}=>8
[3,7,5,2,4,6,1]=>[6,5,3,2,7,4,1]=>[1,5,4,7,3,2,6]=>{{1},{2,5},{3,4,7},{6}}=>8
[3,7,5,2,6,1,4]=>[6,5,3,1,7,2,4]=>[5,7,4,1,3,2,6]=>{{1,5},{2,7},{3,4},{6}}=>8
[3,7,5,2,6,4,1]=>[4,6,3,5,7,1,2]=>[7,1,4,2,5,3,6]=>{{1,7},{2},{3,4},{5},{6}}=>12
[3,7,5,4,1,2,6]=>[4,1,3,5,7,2,6]=>[3,7,4,2,5,1,6]=>{{1,3,4},{2,7},{5},{6}}=>10
[3,7,5,4,1,6,2]=>[4,5,3,7,6,1,2]=>[7,1,4,2,3,6,5]=>{{1,7},{2},{3,4},{5},{6}}=>12
[3,7,5,4,2,1,6]=>[2,4,3,5,7,1,6]=>[7,2,4,3,5,1,6]=>{{1,7},{2},{3,4},{5},{6}}=>12
[3,7,5,4,2,6,1]=>[6,4,3,5,7,2,1]=>[1,7,4,3,5,2,6]=>{{1},{2,7},{3,4},{5},{6}}=>12
[3,7,5,4,6,1,2]=>[6,1,3,5,7,4,2]=>[3,1,4,7,5,2,6]=>{{1,3,4,7},{2},{5},{6}}=>10
[3,7,5,4,6,2,1]=>[2,6,3,5,7,4,1]=>[1,2,4,7,5,3,6]=>{{1},{2},{3,4,7},{5},{6}}=>12
[3,7,5,6,1,2,4]=>[6,1,3,2,7,5,4]=>[3,5,4,1,7,2,6]=>{{1,3,4},{2,5,7},{6}}=>6
[3,7,5,6,1,4,2]=>[6,4,3,1,7,5,2]=>[5,1,4,3,7,2,6]=>{{1,5,7},{2},{3,4},{6}}=>8
[3,7,5,6,2,1,4]=>[2,6,3,1,7,5,4]=>[5,2,4,1,7,3,6]=>{{1,5,7},{2},{3,4},{6}}=>8
[3,7,5,6,2,4,1]=>[4,6,3,2,7,5,1]=>[1,5,4,2,7,3,6]=>{{1},{2,5,7},{3,4},{6}}=>8
[3,7,5,6,4,1,2]=>[4,1,3,6,7,5,2]=>[3,1,4,2,7,5,6]=>{{1,3,4},{2},{5,7},{6}}=>10
[3,7,5,6,4,2,1]=>[2,4,3,6,7,5,1]=>[1,2,4,3,7,5,6]=>{{1},{2},{3,4},{5,7},{6}}=>12
[3,7,6,1,2,4,5]=>[6,1,3,2,4,7,5]=>[3,5,4,6,1,2,7]=>{{1,3,4,6},{2,5},{7}}=>7
[3,7,6,1,2,5,4]=>[6,1,3,5,2,7,4]=>[3,6,4,1,5,2,7]=>{{1,3,4},{2,6},{5},{7}}=>11
[3,7,6,1,4,2,5]=>[6,4,3,1,2,7,5]=>[5,6,4,3,1,2,7]=>{{1,5},{2,6},{3,4},{7}}=>9
[3,7,6,1,4,5,2]=>[6,5,3,1,4,7,2]=>[5,1,4,6,3,2,7]=>{{1,5},{2},{3,4,6},{7}}=>9
[3,7,6,1,5,2,4]=>[6,5,3,2,1,7,4]=>[6,5,4,1,3,2,7]=>{{1,6},{2,5},{3,4},{7}}=>9
[3,7,6,1,5,4,2]=>[6,4,3,5,1,7,2]=>[6,1,4,3,5,2,7]=>{{1,6},{2},{3,4},{5},{7}}=>13
[3,7,6,2,1,4,5]=>[2,6,3,1,4,7,5]=>[5,2,4,6,1,3,7]=>{{1,5},{2},{3,4,6},{7}}=>9
[3,7,6,2,1,5,4]=>[2,6,3,5,1,7,4]=>[6,2,4,1,5,3,7]=>{{1,6},{2},{3,4},{5},{7}}=>13
[3,7,6,2,4,1,5]=>[4,6,3,2,1,7,5]=>[6,5,4,2,1,3,7]=>{{1,6},{2,5},{3,4},{7}}=>9
[3,7,6,2,4,5,1]=>[5,6,3,2,4,7,1]=>[1,5,4,6,2,3,7]=>{{1},{2,5},{3,4,6},{7}}=>9
[3,7,6,2,5,1,4]=>[5,6,3,1,2,7,4]=>[5,6,4,1,2,3,7]=>{{1,5},{2,6},{3,4},{7}}=>9
[3,7,6,2,5,4,1]=>[4,5,3,6,1,7,2]=>[6,1,4,2,3,5,7]=>{{1,6},{2},{3,4},{5},{7}}=>13
[3,7,6,4,1,2,5]=>[4,1,3,6,2,7,5]=>[3,6,4,2,1,5,7]=>{{1,3,4},{2,6},{5},{7}}=>11
[3,7,6,4,1,5,2]=>[4,6,3,5,2,7,1]=>[1,6,4,2,5,3,7]=>{{1},{2,6},{3,4},{5},{7}}=>13
[3,7,6,4,2,1,5]=>[2,4,3,6,1,7,5]=>[6,2,4,3,1,5,7]=>{{1,6},{2},{3,4},{5},{7}}=>13
[3,7,6,4,2,5,1]=>[5,4,3,6,2,7,1]=>[1,6,4,3,2,5,7]=>{{1},{2,6},{3,4},{5},{7}}=>13
[3,7,6,4,5,1,2]=>[5,1,3,6,4,7,2]=>[3,1,4,6,2,5,7]=>{{1,3,4,6},{2},{5},{7}}=>11
[3,7,6,4,5,2,1]=>[2,5,3,6,4,7,1]=>[1,2,4,6,3,5,7]=>{{1},{2},{3,4,6},{5},{7}}=>13
[3,7,6,5,1,2,4]=>[5,1,3,2,6,7,4]=>[3,5,4,1,2,6,7]=>{{1,3,4},{2,5},{6},{7}}=>12
[3,7,6,5,1,4,2]=>[5,4,3,1,6,7,2]=>[5,1,4,3,2,6,7]=>{{1,5},{2},{3,4},{6},{7}}=>14
[3,7,6,5,2,1,4]=>[2,5,3,1,6,7,4]=>[5,2,4,1,3,6,7]=>{{1,5},{2},{3,4},{6},{7}}=>14
[3,7,6,5,2,4,1]=>[4,5,3,2,6,7,1]=>[1,5,4,2,3,6,7]=>{{1},{2,5},{3,4},{6},{7}}=>14
[3,7,6,5,4,1,2]=>[4,1,3,5,6,7,2]=>[3,1,4,2,5,6,7]=>{{1,3,4},{2},{5},{6},{7}}=>16
[3,7,6,5,4,2,1]=>[2,4,3,5,6,7,1]=>[1,2,4,3,5,6,7]=>{{1},{2},{3,4},{5},{6},{7}}=>18
[4,1,2,3,5,6,7]=>[4,1,2,3,5,6,7]=>[3,4,5,2,6,7,1]=>{{1,3,5,6,7},{2,4}}=>1
[4,1,2,3,5,7,6]=>[4,1,2,3,5,7,6]=>[3,4,5,2,6,1,7]=>{{1,3,5,6},{2,4},{7}}=>7
[4,1,2,3,6,5,7]=>[4,1,2,3,6,5,7]=>[3,4,5,2,7,6,1]=>{{1,3,5,7},{2,4},{6}}=>6
[4,1,2,3,6,7,5]=>[4,1,2,3,7,6,5]=>[3,4,5,2,1,7,6]=>{{1,3,5},{2,4},{6,7}}=>6
[4,1,2,3,7,5,6]=>[4,1,2,3,7,5,6]=>[3,4,5,2,7,1,6]=>{{1,3,5,7},{2,4},{6}}=>6
[4,1,2,3,7,6,5]=>[4,1,2,3,6,7,5]=>[3,4,5,2,1,6,7]=>{{1,3,5},{2,4},{6},{7}}=>12
[4,1,2,5,3,6,7]=>[4,1,5,2,3,6,7]=>[3,5,6,2,4,7,1]=>{{1,3,6,7},{2,5},{4}}=>4
[4,1,2,5,3,7,6]=>[4,1,5,2,3,7,6]=>[3,5,6,2,4,1,7]=>{{1,3,6},{2,5},{4},{7}}=>10
[4,1,2,5,6,3,7]=>[4,1,6,2,5,3,7]=>[3,5,7,2,6,4,1]=>{{1,3,7},{2,5,6},{4}}=>4
[4,1,2,5,6,7,3]=>[4,1,7,2,5,6,3]=>[3,5,1,2,6,7,4]=>{{1,3},{2,5,6,7},{4}}=>4
[4,1,2,5,7,3,6]=>[4,1,7,2,5,3,6]=>[3,5,7,2,6,1,4]=>{{1,3,7},{2,5,6},{4}}=>4
[4,1,2,5,7,6,3]=>[4,1,6,2,5,7,3]=>[3,5,1,2,6,4,7]=>{{1,3},{2,5,6},{4},{7}}=>10
[4,1,2,6,3,5,7]=>[4,1,6,2,3,5,7]=>[3,5,6,2,7,4,1]=>{{1,3,6},{2,5,7},{4}}=>4
[4,1,2,6,3,7,5]=>[4,1,6,2,7,3,5]=>[3,5,7,2,1,4,6]=>{{1,3,7},{2,5},{4},{6}}=>9
[4,1,2,6,5,3,7]=>[4,1,5,2,6,3,7]=>[3,5,7,2,4,6,1]=>{{1,3,7},{2,5},{4},{6}}=>9
[4,1,2,6,5,7,3]=>[4,1,7,2,6,5,3]=>[3,5,1,2,7,6,4]=>{{1,3},{2,5,7},{4},{6}}=>9
[4,1,2,6,7,3,5]=>[4,1,7,2,3,6,5]=>[3,5,6,2,1,7,4]=>{{1,3,6,7},{2,5},{4}}=>4
[4,1,2,6,7,5,3]=>[4,1,5,2,7,6,3]=>[3,5,1,2,4,7,6]=>{{1,3},{2,5},{4},{6,7}}=>9
[4,1,2,7,3,5,6]=>[4,1,7,2,3,5,6]=>[3,5,6,2,7,1,4]=>{{1,3,6},{2,5,7},{4}}=>4
[4,1,2,7,3,6,5]=>[4,1,7,2,6,3,5]=>[3,5,7,2,1,6,4]=>{{1,3,7},{2,5},{4},{6}}=>9
[4,1,2,7,5,3,6]=>[4,1,5,2,7,3,6]=>[3,5,7,2,4,1,6]=>{{1,3,7},{2,5},{4},{6}}=>9
[4,1,2,7,5,6,3]=>[4,1,6,2,7,5,3]=>[3,5,1,2,7,4,6]=>{{1,3},{2,5,7},{4},{6}}=>9
[4,1,2,7,6,3,5]=>[4,1,6,2,3,7,5]=>[3,5,6,2,1,4,7]=>{{1,3,6},{2,5},{4},{7}}=>10
[4,1,2,7,6,5,3]=>[4,1,5,2,6,7,3]=>[3,5,1,2,4,6,7]=>{{1,3},{2,5},{4},{6},{7}}=>15
[4,1,3,2,5,6,7]=>[4,3,1,2,5,6,7]=>[4,5,3,2,6,7,1]=>{{1,4},{2,5,6,7},{3}}=>3
[4,1,3,2,5,7,6]=>[4,3,1,2,5,7,6]=>[4,5,3,2,6,1,7]=>{{1,4},{2,5,6},{3},{7}}=>9
[4,1,3,2,6,5,7]=>[4,3,1,2,6,5,7]=>[4,5,3,2,7,6,1]=>{{1,4},{2,5,7},{3},{6}}=>8
[4,1,3,2,6,7,5]=>[4,3,1,2,7,6,5]=>[4,5,3,2,1,7,6]=>{{1,4},{2,5},{3},{6,7}}=>8
[4,1,3,2,7,5,6]=>[4,3,1,2,7,5,6]=>[4,5,3,2,7,1,6]=>{{1,4},{2,5,7},{3},{6}}=>8
[4,1,3,2,7,6,5]=>[4,3,1,2,6,7,5]=>[4,5,3,2,1,6,7]=>{{1,4},{2,5},{3},{6},{7}}=>14
[4,1,3,5,2,6,7]=>[4,5,1,3,2,6,7]=>[4,6,5,2,3,7,1]=>{{1,4},{2,6,7},{3,5}}=>3
[4,1,3,5,2,7,6]=>[4,5,1,3,2,7,6]=>[4,6,5,2,3,1,7]=>{{1,4},{2,6},{3,5},{7}}=>9
[4,1,3,5,6,2,7]=>[4,6,1,3,5,2,7]=>[4,7,5,2,6,3,1]=>{{1,4},{2,7},{3,5,6}}=>3
[4,1,3,5,6,7,2]=>[4,7,1,3,5,6,2]=>[4,1,5,2,6,7,3]=>{{1,4},{2},{3,5,6,7}}=>3
[4,1,3,5,7,2,6]=>[4,7,1,3,5,2,6]=>[4,7,5,2,6,1,3]=>{{1,4},{2,7},{3,5,6}}=>3
[4,1,3,5,7,6,2]=>[4,6,1,3,5,7,2]=>[4,1,5,2,6,3,7]=>{{1,4},{2},{3,5,6},{7}}=>9
[4,1,3,6,2,5,7]=>[4,6,1,3,2,5,7]=>[4,6,5,2,7,3,1]=>{{1,4},{2,6},{3,5,7}}=>3
[4,1,3,6,2,7,5]=>[4,6,1,3,7,2,5]=>[4,7,5,2,1,3,6]=>{{1,4},{2,7},{3,5},{6}}=>8
[4,1,3,6,5,2,7]=>[4,5,1,3,6,2,7]=>[4,7,5,2,3,6,1]=>{{1,4},{2,7},{3,5},{6}}=>8
[4,1,3,6,5,7,2]=>[4,7,1,3,6,5,2]=>[4,1,5,2,7,6,3]=>{{1,4},{2},{3,5,7},{6}}=>8
[4,1,3,6,7,2,5]=>[4,7,1,3,2,6,5]=>[4,6,5,2,1,7,3]=>{{1,4},{2,6,7},{3,5}}=>3
[4,1,3,6,7,5,2]=>[4,5,1,3,7,6,2]=>[4,1,5,2,3,7,6]=>{{1,4},{2},{3,5},{6,7}}=>8
[4,1,3,7,2,5,6]=>[4,7,1,3,2,5,6]=>[4,6,5,2,7,1,3]=>{{1,4},{2,6},{3,5,7}}=>3
[4,1,3,7,2,6,5]=>[4,7,1,3,6,2,5]=>[4,7,5,2,1,6,3]=>{{1,4},{2,7},{3,5},{6}}=>8
[4,1,3,7,5,2,6]=>[4,5,1,3,7,2,6]=>[4,7,5,2,3,1,6]=>{{1,4},{2,7},{3,5},{6}}=>8
[4,1,3,7,5,6,2]=>[4,6,1,3,7,5,2]=>[4,1,5,2,7,3,6]=>{{1,4},{2},{3,5,7},{6}}=>8
[4,1,3,7,6,2,5]=>[4,6,1,3,2,7,5]=>[4,6,5,2,1,3,7]=>{{1,4},{2,6},{3,5},{7}}=>9
[4,1,3,7,6,5,2]=>[4,5,1,3,6,7,2]=>[4,1,5,2,3,6,7]=>{{1,4},{2},{3,5},{6},{7}}=>14
[4,1,5,2,3,6,7]=>[4,5,2,1,3,6,7]=>[5,4,6,2,3,7,1]=>{{1,5},{2,4},{3,6,7}}=>3
[4,1,5,2,3,7,6]=>[4,5,2,1,3,7,6]=>[5,4,6,2,3,1,7]=>{{1,5},{2,4},{3,6},{7}}=>9
[4,1,5,2,6,3,7]=>[4,5,6,1,2,3,7]=>[5,6,7,2,3,4,1]=>{{1,5},{2,6},{3,7},{4}}=>6
[4,1,5,2,6,7,3]=>[4,5,7,1,2,6,3]=>[5,6,1,2,3,7,4]=>{{1,5},{2,6,7},{3},{4}}=>6
[4,1,5,2,7,3,6]=>[4,5,7,1,2,3,6]=>[5,6,7,2,3,1,4]=>{{1,5},{2,6},{3,7},{4}}=>6
[4,1,5,2,7,6,3]=>[4,5,6,1,2,7,3]=>[5,6,1,2,3,4,7]=>{{1,5},{2,6},{3},{4},{7}}=>12
[4,1,5,3,2,6,7]=>[4,3,5,1,2,6,7]=>[5,6,3,2,4,7,1]=>{{1,5},{2,6,7},{3},{4}}=>6
[4,1,5,3,2,7,6]=>[4,3,5,1,2,7,6]=>[5,6,3,2,4,1,7]=>{{1,5},{2,6},{3},{4},{7}}=>12
[4,1,5,3,6,2,7]=>[4,6,5,1,3,2,7]=>[5,7,6,2,4,3,1]=>{{1,5},{2,7},{3,6},{4}}=>6
[4,1,5,3,6,7,2]=>[4,7,5,1,3,6,2]=>[5,1,6,2,4,7,3]=>{{1,5},{2},{3,6,7},{4}}=>6
[4,1,5,3,7,2,6]=>[4,7,5,1,3,2,6]=>[5,7,6,2,4,1,3]=>{{1,5},{2,7},{3,6},{4}}=>6
[4,1,5,3,7,6,2]=>[4,6,5,1,3,7,2]=>[5,1,6,2,4,3,7]=>{{1,5},{2},{3,6},{4},{7}}=>12
[4,1,5,6,2,3,7]=>[4,6,2,1,5,3,7]=>[5,4,7,2,6,3,1]=>{{1,5,6},{2,4},{3,7}}=>3
[4,1,5,6,2,7,3]=>[4,6,7,1,5,2,3]=>[5,7,1,2,6,3,4]=>{{1,5,6},{2,7},{3},{4}}=>6
[4,1,5,6,3,2,7]=>[4,3,6,1,5,2,7]=>[5,7,3,2,6,4,1]=>{{1,5,6},{2,7},{3},{4}}=>6
[4,1,5,6,3,7,2]=>[4,7,6,1,5,3,2]=>[5,1,7,2,6,4,3]=>{{1,5,6},{2},{3,7},{4}}=>6
[4,1,5,6,7,2,3]=>[4,7,2,1,5,6,3]=>[5,4,1,2,6,7,3]=>{{1,5,6,7},{2,4},{3}}=>3
[4,1,5,6,7,3,2]=>[4,3,7,1,5,6,2]=>[5,1,3,2,6,7,4]=>{{1,5,6,7},{2},{3},{4}}=>6
[4,1,5,7,2,3,6]=>[4,7,2,1,5,3,6]=>[5,4,7,2,6,1,3]=>{{1,5,6},{2,4},{3,7}}=>3
[4,1,5,7,2,6,3]=>[4,7,6,1,5,2,3]=>[5,7,1,2,6,4,3]=>{{1,5,6},{2,7},{3},{4}}=>6
[4,1,5,7,3,2,6]=>[4,3,7,1,5,2,6]=>[5,7,3,2,6,1,4]=>{{1,5,6},{2,7},{3},{4}}=>6
[4,1,5,7,3,6,2]=>[4,6,7,1,5,3,2]=>[5,1,7,2,6,3,4]=>{{1,5,6},{2},{3,7},{4}}=>6
[4,1,5,7,6,2,3]=>[4,6,2,1,5,7,3]=>[5,4,1,2,6,3,7]=>{{1,5,6},{2,4},{3},{7}}=>9
[4,1,5,7,6,3,2]=>[4,3,6,1,5,7,2]=>[5,1,3,2,6,4,7]=>{{1,5,6},{2},{3},{4},{7}}=>12
[4,1,6,2,3,5,7]=>[4,6,2,1,3,5,7]=>[5,4,6,2,7,3,1]=>{{1,5,7},{2,4},{3,6}}=>3
[4,1,6,2,3,7,5]=>[4,6,2,1,7,3,5]=>[5,4,7,2,1,3,6]=>{{1,5},{2,4},{3,7},{6}}=>8
[4,1,6,2,5,3,7]=>[4,6,5,1,2,3,7]=>[5,6,7,2,4,3,1]=>{{1,5},{2,6},{3,7},{4}}=>6
[4,1,6,2,5,7,3]=>[4,6,7,1,2,5,3]=>[5,6,1,2,7,3,4]=>{{1,5,7},{2,6},{3},{4}}=>6
[4,1,6,2,7,3,5]=>[4,6,7,1,3,2,5]=>[5,7,6,2,1,3,4]=>{{1,5},{2,7},{3,6},{4}}=>6
[4,1,6,2,7,5,3]=>[4,6,5,1,7,2,3]=>[5,7,1,2,4,3,6]=>{{1,5},{2,7},{3},{4},{6}}=>11
[4,1,6,3,2,5,7]=>[4,3,6,1,2,5,7]=>[5,6,3,2,7,4,1]=>{{1,5,7},{2,6},{3},{4}}=>6
[4,1,6,3,2,7,5]=>[4,3,6,1,7,2,5]=>[5,7,3,2,1,4,6]=>{{1,5},{2,7},{3},{4},{6}}=>11
[4,1,6,3,5,2,7]=>[4,5,6,1,3,2,7]=>[5,7,6,2,3,4,1]=>{{1,5},{2,7},{3,6},{4}}=>6
[4,1,6,3,5,7,2]=>[4,7,6,1,3,5,2]=>[5,1,6,2,7,4,3]=>{{1,5,7},{2},{3,6},{4}}=>6
[4,1,6,3,7,2,5]=>[4,7,6,1,2,3,5]=>[5,6,7,2,1,4,3]=>{{1,5},{2,6},{3,7},{4}}=>6
[4,1,6,3,7,5,2]=>[4,5,7,1,6,2,3]=>[5,7,1,2,3,6,4]=>{{1,5},{2,7},{3},{4},{6}}=>11
[4,1,6,5,2,3,7]=>[4,5,2,1,6,3,7]=>[5,4,7,2,3,6,1]=>{{1,5},{2,4},{3,7},{6}}=>8
[4,1,6,5,2,7,3]=>[4,5,6,1,7,3,2]=>[5,1,7,2,3,4,6]=>{{1,5},{2},{3,7},{4},{6}}=>11
[4,1,6,5,3,2,7]=>[4,3,5,1,6,2,7]=>[5,7,3,2,4,6,1]=>{{1,5},{2,7},{3},{4},{6}}=>11
[4,1,6,5,3,7,2]=>[4,7,5,1,6,3,2]=>[5,1,7,2,4,6,3]=>{{1,5},{2},{3,7},{4},{6}}=>11
[4,1,6,5,7,2,3]=>[4,7,2,1,6,5,3]=>[5,4,1,2,7,6,3]=>{{1,5,7},{2,4},{3},{6}}=>8
[4,1,6,5,7,3,2]=>[4,3,7,1,6,5,2]=>[5,1,3,2,7,6,4]=>{{1,5,7},{2},{3},{4},{6}}=>11
[4,1,6,7,2,3,5]=>[4,7,2,1,3,6,5]=>[5,4,6,2,1,7,3]=>{{1,5},{2,4},{3,6,7}}=>3
[4,1,6,7,2,5,3]=>[4,7,5,1,2,6,3]=>[5,6,1,2,4,7,3]=>{{1,5},{2,6,7},{3},{4}}=>6
[4,1,6,7,3,2,5]=>[4,3,7,1,2,6,5]=>[5,6,3,2,1,7,4]=>{{1,5},{2,6,7},{3},{4}}=>6
[4,1,6,7,3,5,2]=>[4,5,7,1,3,6,2]=>[5,1,6,2,3,7,4]=>{{1,5},{2},{3,6,7},{4}}=>6
[4,1,6,7,5,2,3]=>[4,5,2,1,7,6,3]=>[5,4,1,2,3,7,6]=>{{1,5},{2,4},{3},{6,7}}=>8
[4,1,6,7,5,3,2]=>[4,3,5,1,7,6,2]=>[5,1,3,2,4,7,6]=>{{1,5},{2},{3},{4},{6,7}}=>11
[4,1,7,2,3,5,6]=>[4,7,2,1,3,5,6]=>[5,4,6,2,7,1,3]=>{{1,5,7},{2,4},{3,6}}=>3
[4,1,7,2,3,6,5]=>[4,7,2,1,6,3,5]=>[5,4,7,2,1,6,3]=>{{1,5},{2,4},{3,7},{6}}=>8
[4,1,7,2,5,3,6]=>[4,7,5,1,2,3,6]=>[5,6,7,2,4,1,3]=>{{1,5},{2,6},{3,7},{4}}=>6
[4,1,7,2,5,6,3]=>[4,7,6,1,2,5,3]=>[5,6,1,2,7,4,3]=>{{1,5,7},{2,6},{3},{4}}=>6
[4,1,7,2,6,3,5]=>[4,7,6,1,3,2,5]=>[5,7,6,2,1,4,3]=>{{1,5},{2,7},{3,6},{4}}=>6
[4,1,7,2,6,5,3]=>[4,7,5,1,6,2,3]=>[5,7,1,2,4,6,3]=>{{1,5},{2,7},{3},{4},{6}}=>11
[4,1,7,3,2,5,6]=>[4,3,7,1,2,5,6]=>[5,6,3,2,7,1,4]=>{{1,5,7},{2,6},{3},{4}}=>6
[4,1,7,3,2,6,5]=>[4,3,7,1,6,2,5]=>[5,7,3,2,1,6,4]=>{{1,5},{2,7},{3},{4},{6}}=>11
[4,1,7,3,5,2,6]=>[4,5,7,1,3,2,6]=>[5,7,6,2,3,1,4]=>{{1,5},{2,7},{3,6},{4}}=>6
[4,1,7,3,5,6,2]=>[4,6,7,1,3,5,2]=>[5,1,6,2,7,3,4]=>{{1,5,7},{2},{3,6},{4}}=>6
[4,1,7,3,6,2,5]=>[4,6,7,1,2,3,5]=>[5,6,7,2,1,3,4]=>{{1,5},{2,6},{3,7},{4}}=>6
[4,1,7,3,6,5,2]=>[4,5,6,1,7,2,3]=>[5,7,1,2,3,4,6]=>{{1,5},{2,7},{3},{4},{6}}=>11
[4,1,7,5,2,3,6]=>[4,5,2,1,7,3,6]=>[5,4,7,2,3,1,6]=>{{1,5},{2,4},{3,7},{6}}=>8
[4,1,7,5,2,6,3]=>[4,5,7,1,6,3,2]=>[5,1,7,2,3,6,4]=>{{1,5},{2},{3,7},{4},{6}}=>11
[4,1,7,5,3,2,6]=>[4,3,5,1,7,2,6]=>[5,7,3,2,4,1,6]=>{{1,5},{2,7},{3},{4},{6}}=>11
[4,1,7,5,3,6,2]=>[4,6,5,1,7,3,2]=>[5,1,7,2,4,3,6]=>{{1,5},{2},{3,7},{4},{6}}=>11
[4,1,7,5,6,2,3]=>[4,6,2,1,7,5,3]=>[5,4,1,2,7,3,6]=>{{1,5,7},{2,4},{3},{6}}=>8
[4,1,7,5,6,3,2]=>[4,3,6,1,7,5,2]=>[5,1,3,2,7,4,6]=>{{1,5,7},{2},{3},{4},{6}}=>11
[4,1,7,6,2,3,5]=>[4,6,2,1,3,7,5]=>[5,4,6,2,1,3,7]=>{{1,5},{2,4},{3,6},{7}}=>9
[4,1,7,6,2,5,3]=>[4,6,5,1,2,7,3]=>[5,6,1,2,4,3,7]=>{{1,5},{2,6},{3},{4},{7}}=>12
[4,1,7,6,3,2,5]=>[4,3,6,1,2,7,5]=>[5,6,3,2,1,4,7]=>{{1,5},{2,6},{3},{4},{7}}=>12
[4,1,7,6,3,5,2]=>[4,5,6,1,3,7,2]=>[5,1,6,2,3,4,7]=>{{1,5},{2},{3,6},{4},{7}}=>12
[4,1,7,6,5,2,3]=>[4,5,2,1,6,7,3]=>[5,4,1,2,3,6,7]=>{{1,5},{2,4},{3},{6},{7}}=>14
[4,1,7,6,5,3,2]=>[4,3,5,1,6,7,2]=>[5,1,3,2,4,6,7]=>{{1,5},{2},{3},{4},{6},{7}}=>17
[4,2,1,3,5,6,7]=>[2,4,1,3,5,6,7]=>[4,2,5,3,6,7,1]=>{{1,4},{2},{3,5,6,7}}=>3
[4,2,1,3,5,7,6]=>[2,4,1,3,5,7,6]=>[4,2,5,3,6,1,7]=>{{1,4},{2},{3,5,6},{7}}=>9
[4,2,1,3,6,5,7]=>[2,4,1,3,6,5,7]=>[4,2,5,3,7,6,1]=>{{1,4},{2},{3,5,7},{6}}=>8
[4,2,1,3,6,7,5]=>[2,4,1,3,7,6,5]=>[4,2,5,3,1,7,6]=>{{1,4},{2},{3,5},{6,7}}=>8
[4,2,1,3,7,5,6]=>[2,4,1,3,7,5,6]=>[4,2,5,3,7,1,6]=>{{1,4},{2},{3,5,7},{6}}=>8
[4,2,1,3,7,6,5]=>[2,4,1,3,6,7,5]=>[4,2,5,3,1,6,7]=>{{1,4},{2},{3,5},{6},{7}}=>14
[4,2,1,5,3,6,7]=>[2,4,5,1,3,6,7]=>[5,2,6,3,4,7,1]=>{{1,5},{2},{3,6,7},{4}}=>6
[4,2,1,5,3,7,6]=>[2,4,5,1,3,7,6]=>[5,2,6,3,4,1,7]=>{{1,5},{2},{3,6},{4},{7}}=>12
[4,2,1,5,6,3,7]=>[2,4,6,1,5,3,7]=>[5,2,7,3,6,4,1]=>{{1,5,6},{2},{3,7},{4}}=>6
[4,2,1,5,6,7,3]=>[2,4,7,1,5,6,3]=>[5,2,1,3,6,7,4]=>{{1,5,6,7},{2},{3},{4}}=>6
[4,2,1,5,7,3,6]=>[2,4,7,1,5,3,6]=>[5,2,7,3,6,1,4]=>{{1,5,6},{2},{3,7},{4}}=>6
[4,2,1,5,7,6,3]=>[2,4,6,1,5,7,3]=>[5,2,1,3,6,4,7]=>{{1,5,6},{2},{3},{4},{7}}=>12
[4,2,1,6,3,5,7]=>[2,4,6,1,3,5,7]=>[5,2,6,3,7,4,1]=>{{1,5,7},{2},{3,6},{4}}=>6
[4,2,1,6,3,7,5]=>[2,4,6,1,7,3,5]=>[5,2,7,3,1,4,6]=>{{1,5},{2},{3,7},{4},{6}}=>11
[4,2,1,6,5,3,7]=>[2,4,5,1,6,3,7]=>[5,2,7,3,4,6,1]=>{{1,5},{2},{3,7},{4},{6}}=>11
[4,2,1,6,5,7,3]=>[2,4,7,1,6,5,3]=>[5,2,1,3,7,6,4]=>{{1,5,7},{2},{3},{4},{6}}=>11
[4,2,1,6,7,3,5]=>[2,4,7,1,3,6,5]=>[5,2,6,3,1,7,4]=>{{1,5},{2},{3,6,7},{4}}=>6
[4,2,1,6,7,5,3]=>[2,4,5,1,7,6,3]=>[5,2,1,3,4,7,6]=>{{1,5},{2},{3},{4},{6,7}}=>11
[4,2,1,7,3,5,6]=>[2,4,7,1,3,5,6]=>[5,2,6,3,7,1,4]=>{{1,5,7},{2},{3,6},{4}}=>6
[4,2,1,7,3,6,5]=>[2,4,7,1,6,3,5]=>[5,2,7,3,1,6,4]=>{{1,5},{2},{3,7},{4},{6}}=>11
[4,2,1,7,5,3,6]=>[2,4,5,1,7,3,6]=>[5,2,7,3,4,1,6]=>{{1,5},{2},{3,7},{4},{6}}=>11
[4,2,1,7,5,6,3]=>[2,4,6,1,7,5,3]=>[5,2,1,3,7,4,6]=>{{1,5,7},{2},{3},{4},{6}}=>11
[4,2,1,7,6,3,5]=>[2,4,6,1,3,7,5]=>[5,2,6,3,1,4,7]=>{{1,5},{2},{3,6},{4},{7}}=>12
[4,2,1,7,6,5,3]=>[2,4,5,1,6,7,3]=>[5,2,1,3,4,6,7]=>{{1,5},{2},{3},{4},{6},{7}}=>17
[4,2,3,1,5,6,7]=>[3,4,2,1,5,6,7]=>[5,4,2,3,6,7,1]=>{{1,5,6,7},{2,4},{3}}=>3
[4,2,3,1,5,7,6]=>[3,4,2,1,5,7,6]=>[5,4,2,3,6,1,7]=>{{1,5,6},{2,4},{3},{7}}=>9
[4,2,3,1,6,5,7]=>[3,4,2,1,6,5,7]=>[5,4,2,3,7,6,1]=>{{1,5,7},{2,4},{3},{6}}=>8
[4,2,3,1,6,7,5]=>[3,4,2,1,7,6,5]=>[5,4,2,3,1,7,6]=>{{1,5},{2,4},{3},{6,7}}=>8
[4,2,3,1,7,5,6]=>[3,4,2,1,7,5,6]=>[5,4,2,3,7,1,6]=>{{1,5,7},{2,4},{3},{6}}=>8
[4,2,3,1,7,6,5]=>[3,4,2,1,6,7,5]=>[5,4,2,3,1,6,7]=>{{1,5},{2,4},{3},{6},{7}}=>14
[4,2,3,5,1,6,7]=>[5,4,2,3,1,6,7]=>[6,4,5,3,2,7,1]=>{{1,6,7},{2,4},{3,5}}=>3
[4,2,3,5,1,7,6]=>[5,4,2,3,1,7,6]=>[6,4,5,3,2,1,7]=>{{1,6},{2,4},{3,5},{7}}=>9
[4,2,3,5,6,1,7]=>[6,4,2,3,5,1,7]=>[7,4,5,3,6,2,1]=>{{1,7},{2,4},{3,5,6}}=>3
[4,2,3,5,6,7,1]=>[7,4,2,3,5,6,1]=>[1,4,5,3,6,7,2]=>{{1},{2,4},{3,5,6,7}}=>3
[4,2,3,5,7,1,6]=>[7,4,2,3,5,1,6]=>[7,4,5,3,6,1,2]=>{{1,7},{2,4},{3,5,6}}=>3
[4,2,3,5,7,6,1]=>[6,4,2,3,5,7,1]=>[1,4,5,3,6,2,7]=>{{1},{2,4},{3,5,6},{7}}=>9
[4,2,3,6,1,5,7]=>[6,4,2,3,1,5,7]=>[6,4,5,3,7,2,1]=>{{1,6},{2,4},{3,5,7}}=>3
[4,2,3,6,1,7,5]=>[6,4,2,3,7,1,5]=>[7,4,5,3,1,2,6]=>{{1,7},{2,4},{3,5},{6}}=>8
[4,2,3,6,5,1,7]=>[5,4,2,3,6,1,7]=>[7,4,5,3,2,6,1]=>{{1,7},{2,4},{3,5},{6}}=>8
[4,2,3,6,5,7,1]=>[7,4,2,3,6,5,1]=>[1,4,5,3,7,6,2]=>{{1},{2,4},{3,5,7},{6}}=>8
[4,2,3,6,7,1,5]=>[7,4,2,3,1,6,5]=>[6,4,5,3,1,7,2]=>{{1,6,7},{2,4},{3,5}}=>3
[4,2,3,6,7,5,1]=>[5,4,2,3,7,6,1]=>[1,4,5,3,2,7,6]=>{{1},{2,4},{3,5},{6,7}}=>8
[4,2,3,7,1,5,6]=>[7,4,2,3,1,5,6]=>[6,4,5,3,7,1,2]=>{{1,6},{2,4},{3,5,7}}=>3
[4,2,3,7,1,6,5]=>[7,4,2,3,6,1,5]=>[7,4,5,3,1,6,2]=>{{1,7},{2,4},{3,5},{6}}=>8
[4,2,3,7,5,1,6]=>[5,4,2,3,7,1,6]=>[7,4,5,3,2,1,6]=>{{1,7},{2,4},{3,5},{6}}=>8
[4,2,3,7,5,6,1]=>[6,4,2,3,7,5,1]=>[1,4,5,3,7,2,6]=>{{1},{2,4},{3,5,7},{6}}=>8
[4,2,3,7,6,1,5]=>[6,4,2,3,1,7,5]=>[6,4,5,3,1,2,7]=>{{1,6},{2,4},{3,5},{7}}=>9
[4,2,3,7,6,5,1]=>[5,4,2,3,6,7,1]=>[1,4,5,3,2,6,7]=>{{1},{2,4},{3,5},{6},{7}}=>14
[4,2,5,1,3,6,7]=>[5,4,1,2,3,6,7]=>[4,5,6,3,2,7,1]=>{{1,4},{2,5},{3,6,7}}=>3
[4,2,5,1,3,7,6]=>[5,4,1,2,3,7,6]=>[4,5,6,3,2,1,7]=>{{1,4},{2,5},{3,6},{7}}=>9
[4,2,5,1,6,3,7]=>[5,4,6,2,1,3,7]=>[6,5,7,3,2,4,1]=>{{1,6},{2,5},{3,7},{4}}=>6
[4,2,5,1,6,7,3]=>[5,4,7,2,1,6,3]=>[6,5,1,3,2,7,4]=>{{1,6,7},{2,5},{3},{4}}=>6
[4,2,5,1,7,3,6]=>[5,4,7,2,1,3,6]=>[6,5,7,3,2,1,4]=>{{1,6},{2,5},{3,7},{4}}=>6
[4,2,5,1,7,6,3]=>[5,4,6,2,1,7,3]=>[6,5,1,3,2,4,7]=>{{1,6},{2,5},{3},{4},{7}}=>12
[4,2,5,3,1,6,7]=>[3,5,4,1,2,6,7]=>[5,6,2,4,3,7,1]=>{{1,5},{2,6,7},{3},{4}}=>6
[4,2,5,3,1,7,6]=>[3,5,4,1,2,7,6]=>[5,6,2,4,3,1,7]=>{{1,5},{2,6},{3},{4},{7}}=>12
[4,2,5,3,6,1,7]=>[6,4,5,2,3,1,7]=>[7,5,6,3,4,2,1]=>{{1,7},{2,5},{3,6},{4}}=>6
[4,2,5,3,6,7,1]=>[7,4,5,2,3,6,1]=>[1,5,6,3,4,7,2]=>{{1},{2,5},{3,6,7},{4}}=>6
[4,2,5,3,7,1,6]=>[7,4,5,2,3,1,6]=>[7,5,6,3,4,1,2]=>{{1,7},{2,5},{3,6},{4}}=>6
[4,2,5,3,7,6,1]=>[6,4,5,2,3,7,1]=>[1,5,6,3,4,2,7]=>{{1},{2,5},{3,6},{4},{7}}=>12
[4,2,5,6,1,3,7]=>[6,4,1,2,5,3,7]=>[4,5,7,3,6,2,1]=>{{1,4},{2,5,6},{3,7}}=>3
[4,2,5,6,1,7,3]=>[6,4,7,2,5,1,3]=>[7,5,1,3,6,2,4]=>{{1,7},{2,5,6},{3},{4}}=>6
[4,2,5,6,3,1,7]=>[3,6,4,1,5,2,7]=>[5,7,2,4,6,3,1]=>{{1,5,6},{2,7},{3},{4}}=>6
[4,2,5,6,3,7,1]=>[7,4,6,2,5,3,1]=>[1,5,7,3,6,4,2]=>{{1},{2,5,6},{3,7},{4}}=>6
[4,2,5,6,7,1,3]=>[7,4,1,2,5,6,3]=>[4,5,1,3,6,7,2]=>{{1,4},{2,5,6,7},{3}}=>3
[4,2,5,6,7,3,1]=>[3,7,4,1,5,6,2]=>[5,1,2,4,6,7,3]=>{{1,5,6,7},{2},{3},{4}}=>6
[4,2,5,7,1,3,6]=>[7,4,1,2,5,3,6]=>[4,5,7,3,6,1,2]=>{{1,4},{2,5,6},{3,7}}=>3
[4,2,5,7,1,6,3]=>[7,4,6,2,5,1,3]=>[7,5,1,3,6,4,2]=>{{1,7},{2,5,6},{3},{4}}=>6
[4,2,5,7,3,1,6]=>[3,7,4,1,5,2,6]=>[5,7,2,4,6,1,3]=>{{1,5,6},{2,7},{3},{4}}=>6
[4,2,5,7,3,6,1]=>[6,4,7,2,5,3,1]=>[1,5,7,3,6,2,4]=>{{1},{2,5,6},{3,7},{4}}=>6
[4,2,5,7,6,1,3]=>[6,4,1,2,5,7,3]=>[4,5,1,3,6,2,7]=>{{1,4},{2,5,6},{3},{7}}=>9
[4,2,5,7,6,3,1]=>[3,6,4,1,5,7,2]=>[5,1,2,4,6,3,7]=>{{1,5,6},{2},{3},{4},{7}}=>12
[4,2,6,1,3,5,7]=>[6,4,1,2,3,5,7]=>[4,5,6,3,7,2,1]=>{{1,4},{2,5,7},{3,6}}=>3
[4,2,6,1,3,7,5]=>[6,4,1,2,7,3,5]=>[4,5,7,3,1,2,6]=>{{1,4},{2,5},{3,7},{6}}=>8
[4,2,6,1,5,3,7]=>[6,4,5,2,1,3,7]=>[6,5,7,3,4,2,1]=>{{1,6},{2,5},{3,7},{4}}=>6
[4,2,6,1,5,7,3]=>[6,4,7,2,1,5,3]=>[6,5,1,3,7,2,4]=>{{1,6},{2,5,7},{3},{4}}=>6
[4,2,6,1,7,3,5]=>[6,4,7,2,3,1,5]=>[7,5,6,3,1,2,4]=>{{1,7},{2,5},{3,6},{4}}=>6
[4,2,6,1,7,5,3]=>[6,4,5,2,7,1,3]=>[7,5,1,3,4,2,6]=>{{1,7},{2,5},{3},{4},{6}}=>11
[4,2,6,3,1,5,7]=>[3,6,4,1,2,5,7]=>[5,6,2,4,7,3,1]=>{{1,5,7},{2,6},{3},{4}}=>6
[4,2,6,3,1,7,5]=>[3,6,4,1,7,2,5]=>[5,7,2,4,1,3,6]=>{{1,5},{2,7},{3},{4},{6}}=>11
[4,2,6,3,5,1,7]=>[5,4,6,2,3,1,7]=>[7,5,6,3,2,4,1]=>{{1,7},{2,5},{3,6},{4}}=>6
[4,2,6,3,5,7,1]=>[7,4,6,2,3,5,1]=>[1,5,6,3,7,4,2]=>{{1},{2,5,7},{3,6},{4}}=>6
[4,2,6,3,7,1,5]=>[7,4,6,2,1,3,5]=>[6,5,7,3,1,4,2]=>{{1,6},{2,5},{3,7},{4}}=>6
[4,2,6,3,7,5,1]=>[5,4,7,2,6,1,3]=>[7,5,1,3,2,6,4]=>{{1,7},{2,5},{3},{4},{6}}=>11
[4,2,6,5,1,3,7]=>[5,4,1,2,6,3,7]=>[4,5,7,3,2,6,1]=>{{1,4},{2,5},{3,7},{6}}=>8
[4,2,6,5,1,7,3]=>[5,4,6,2,7,3,1]=>[1,5,7,3,2,4,6]=>{{1},{2,5},{3,7},{4},{6}}=>11
[4,2,6,5,3,1,7]=>[3,5,4,1,6,2,7]=>[5,7,2,4,3,6,1]=>{{1,5},{2,7},{3},{4},{6}}=>11
[4,2,6,5,3,7,1]=>[7,4,5,2,6,3,1]=>[1,5,7,3,4,6,2]=>{{1},{2,5},{3,7},{4},{6}}=>11
[4,2,6,5,7,1,3]=>[7,4,1,2,6,5,3]=>[4,5,1,3,7,6,2]=>{{1,4},{2,5,7},{3},{6}}=>8
[4,2,6,5,7,3,1]=>[3,7,4,1,6,5,2]=>[5,1,2,4,7,6,3]=>{{1,5,7},{2},{3},{4},{6}}=>11
[4,2,6,7,1,3,5]=>[7,4,1,2,3,6,5]=>[4,5,6,3,1,7,2]=>{{1,4},{2,5},{3,6,7}}=>3
[4,2,6,7,1,5,3]=>[7,4,5,2,1,6,3]=>[6,5,1,3,4,7,2]=>{{1,6,7},{2,5},{3},{4}}=>6
[4,2,6,7,3,1,5]=>[3,7,4,1,2,6,5]=>[5,6,2,4,1,7,3]=>{{1,5},{2,6,7},{3},{4}}=>6
[4,2,6,7,3,5,1]=>[5,4,7,2,3,6,1]=>[1,5,6,3,2,7,4]=>{{1},{2,5},{3,6,7},{4}}=>6
[4,2,6,7,5,1,3]=>[5,4,1,2,7,6,3]=>[4,5,1,3,2,7,6]=>{{1,4},{2,5},{3},{6,7}}=>8
[4,2,6,7,5,3,1]=>[3,5,4,1,7,6,2]=>[5,1,2,4,3,7,6]=>{{1,5},{2},{3},{4},{6,7}}=>11
[4,2,7,1,3,5,6]=>[7,4,1,2,3,5,6]=>[4,5,6,3,7,1,2]=>{{1,4},{2,5,7},{3,6}}=>3
[4,2,7,1,3,6,5]=>[7,4,1,2,6,3,5]=>[4,5,7,3,1,6,2]=>{{1,4},{2,5},{3,7},{6}}=>8
[4,2,7,1,5,3,6]=>[7,4,5,2,1,3,6]=>[6,5,7,3,4,1,2]=>{{1,6},{2,5},{3,7},{4}}=>6
[4,2,7,1,5,6,3]=>[7,4,6,2,1,5,3]=>[6,5,1,3,7,4,2]=>{{1,6},{2,5,7},{3},{4}}=>6
[4,2,7,1,6,3,5]=>[7,4,6,2,3,1,5]=>[7,5,6,3,1,4,2]=>{{1,7},{2,5},{3,6},{4}}=>6
[4,2,7,1,6,5,3]=>[7,4,5,2,6,1,3]=>[7,5,1,3,4,6,2]=>{{1,7},{2,5},{3},{4},{6}}=>11
[4,2,7,3,1,5,6]=>[3,7,4,1,2,5,6]=>[5,6,2,4,7,1,3]=>{{1,5,7},{2,6},{3},{4}}=>6
[4,2,7,3,1,6,5]=>[3,7,4,1,6,2,5]=>[5,7,2,4,1,6,3]=>{{1,5},{2,7},{3},{4},{6}}=>11
[4,2,7,3,5,1,6]=>[5,4,7,2,3,1,6]=>[7,5,6,3,2,1,4]=>{{1,7},{2,5},{3,6},{4}}=>6
[4,2,7,3,5,6,1]=>[6,4,7,2,3,5,1]=>[1,5,6,3,7,2,4]=>{{1},{2,5,7},{3,6},{4}}=>6
[4,2,7,3,6,1,5]=>[6,4,7,2,1,3,5]=>[6,5,7,3,1,2,4]=>{{1,6},{2,5},{3,7},{4}}=>6
[4,2,7,3,6,5,1]=>[5,4,6,2,7,1,3]=>[7,5,1,3,2,4,6]=>{{1,7},{2,5},{3},{4},{6}}=>11
[4,2,7,5,1,3,6]=>[5,4,1,2,7,3,6]=>[4,5,7,3,2,1,6]=>{{1,4},{2,5},{3,7},{6}}=>8
[4,2,7,5,1,6,3]=>[5,4,7,2,6,3,1]=>[1,5,7,3,2,6,4]=>{{1},{2,5},{3,7},{4},{6}}=>11
[4,2,7,5,3,1,6]=>[3,5,4,1,7,2,6]=>[5,7,2,4,3,1,6]=>{{1,5},{2,7},{3},{4},{6}}=>11
[4,2,7,5,3,6,1]=>[6,4,5,2,7,3,1]=>[1,5,7,3,4,2,6]=>{{1},{2,5},{3,7},{4},{6}}=>11
[4,2,7,5,6,1,3]=>[6,4,1,2,7,5,3]=>[4,5,1,3,7,2,6]=>{{1,4},{2,5,7},{3},{6}}=>8
[4,2,7,5,6,3,1]=>[3,6,4,1,7,5,2]=>[5,1,2,4,7,3,6]=>{{1,5,7},{2},{3},{4},{6}}=>11
[4,2,7,6,1,3,5]=>[6,4,1,2,3,7,5]=>[4,5,6,3,1,2,7]=>{{1,4},{2,5},{3,6},{7}}=>9
[4,2,7,6,1,5,3]=>[6,4,5,2,1,7,3]=>[6,5,1,3,4,2,7]=>{{1,6},{2,5},{3},{4},{7}}=>12
[4,2,7,6,3,1,5]=>[3,6,4,1,2,7,5]=>[5,6,2,4,1,3,7]=>{{1,5},{2,6},{3},{4},{7}}=>12
[4,2,7,6,3,5,1]=>[5,4,6,2,3,7,1]=>[1,5,6,3,2,4,7]=>{{1},{2,5},{3,6},{4},{7}}=>12
[4,2,7,6,5,1,3]=>[5,4,1,2,6,7,3]=>[4,5,1,3,2,6,7]=>{{1,4},{2,5},{3},{6},{7}}=>14
[4,2,7,6,5,3,1]=>[3,5,4,1,6,7,2]=>[5,1,2,4,3,6,7]=>{{1,5},{2},{3},{4},{6},{7}}=>17
[4,3,1,2,5,6,7]=>[3,1,4,2,5,6,7]=>[3,5,2,4,6,7,1]=>{{1,3},{2,5,6,7},{4}}=>4
[4,3,1,2,5,7,6]=>[3,1,4,2,5,7,6]=>[3,5,2,4,6,1,7]=>{{1,3},{2,5,6},{4},{7}}=>10
[4,3,1,2,6,5,7]=>[3,1,4,2,6,5,7]=>[3,5,2,4,7,6,1]=>{{1,3},{2,5,7},{4},{6}}=>9
[4,3,1,2,6,7,5]=>[3,1,4,2,7,6,5]=>[3,5,2,4,1,7,6]=>{{1,3},{2,5},{4},{6,7}}=>9
[4,3,1,2,7,5,6]=>[3,1,4,2,7,5,6]=>[3,5,2,4,7,1,6]=>{{1,3},{2,5,7},{4},{6}}=>9
[4,3,1,2,7,6,5]=>[3,1,4,2,6,7,5]=>[3,5,2,4,1,6,7]=>{{1,3},{2,5},{4},{6},{7}}=>15
[4,3,1,5,2,6,7]=>[3,4,5,2,1,6,7]=>[6,5,2,3,4,7,1]=>{{1,6,7},{2,5},{3},{4}}=>6
[4,3,1,5,2,7,6]=>[3,4,5,2,1,7,6]=>[6,5,2,3,4,1,7]=>{{1,6},{2,5},{3},{4},{7}}=>12
[4,3,1,5,6,2,7]=>[3,4,6,2,5,1,7]=>[7,5,2,3,6,4,1]=>{{1,7},{2,5,6},{3},{4}}=>6
[4,3,1,5,6,7,2]=>[3,4,7,2,5,6,1]=>[1,5,2,3,6,7,4]=>{{1},{2,5,6,7},{3},{4}}=>6
[4,3,1,5,7,2,6]=>[3,4,7,2,5,1,6]=>[7,5,2,3,6,1,4]=>{{1,7},{2,5,6},{3},{4}}=>6
[4,3,1,5,7,6,2]=>[3,4,6,2,5,7,1]=>[1,5,2,3,6,4,7]=>{{1},{2,5,6},{3},{4},{7}}=>12
[4,3,1,6,2,5,7]=>[3,4,6,2,1,5,7]=>[6,5,2,3,7,4,1]=>{{1,6},{2,5,7},{3},{4}}=>6
[4,3,1,6,2,7,5]=>[3,4,6,2,7,1,5]=>[7,5,2,3,1,4,6]=>{{1,7},{2,5},{3},{4},{6}}=>11
[4,3,1,6,5,2,7]=>[3,4,5,2,6,1,7]=>[7,5,2,3,4,6,1]=>{{1,7},{2,5},{3},{4},{6}}=>11
[4,3,1,6,5,7,2]=>[3,4,7,2,6,5,1]=>[1,5,2,3,7,6,4]=>{{1},{2,5,7},{3},{4},{6}}=>11
[4,3,1,6,7,2,5]=>[3,4,7,2,1,6,5]=>[6,5,2,3,1,7,4]=>{{1,6,7},{2,5},{3},{4}}=>6
[4,3,1,6,7,5,2]=>[3,4,5,2,7,6,1]=>[1,5,2,3,4,7,6]=>{{1},{2,5},{3},{4},{6,7}}=>11
[4,3,1,7,2,5,6]=>[3,4,7,2,1,5,6]=>[6,5,2,3,7,1,4]=>{{1,6},{2,5,7},{3},{4}}=>6
[4,3,1,7,2,6,5]=>[3,4,7,2,6,1,5]=>[7,5,2,3,1,6,4]=>{{1,7},{2,5},{3},{4},{6}}=>11
[4,3,1,7,5,2,6]=>[3,4,5,2,7,1,6]=>[7,5,2,3,4,1,6]=>{{1,7},{2,5},{3},{4},{6}}=>11
[4,3,1,7,5,6,2]=>[3,4,6,2,7,5,1]=>[1,5,2,3,7,4,6]=>{{1},{2,5,7},{3},{4},{6}}=>11
[4,3,1,7,6,2,5]=>[3,4,6,2,1,7,5]=>[6,5,2,3,1,4,7]=>{{1,6},{2,5},{3},{4},{7}}=>12
[4,3,1,7,6,5,2]=>[3,4,5,2,6,7,1]=>[1,5,2,3,4,6,7]=>{{1},{2,5},{3},{4},{6},{7}}=>17
[4,3,2,1,5,6,7]=>[2,3,4,1,5,6,7]=>[5,2,3,4,6,7,1]=>{{1,5,6,7},{2},{3},{4}}=>6
[4,3,2,1,5,7,6]=>[2,3,4,1,5,7,6]=>[5,2,3,4,6,1,7]=>{{1,5,6},{2},{3},{4},{7}}=>12
[4,3,2,1,6,5,7]=>[2,3,4,1,6,5,7]=>[5,2,3,4,7,6,1]=>{{1,5,7},{2},{3},{4},{6}}=>11
[4,3,2,1,6,7,5]=>[2,3,4,1,7,6,5]=>[5,2,3,4,1,7,6]=>{{1,5},{2},{3},{4},{6,7}}=>11
[4,3,2,1,7,5,6]=>[2,3,4,1,7,5,6]=>[5,2,3,4,7,1,6]=>{{1,5,7},{2},{3},{4},{6}}=>11
[4,3,2,1,7,6,5]=>[2,3,4,1,6,7,5]=>[5,2,3,4,1,6,7]=>{{1,5},{2},{3},{4},{6},{7}}=>17
[4,3,2,5,1,6,7]=>[5,3,4,2,1,6,7]=>[6,5,3,4,2,7,1]=>{{1,6,7},{2,5},{3},{4}}=>6
[4,3,2,5,1,7,6]=>[5,3,4,2,1,7,6]=>[6,5,3,4,2,1,7]=>{{1,6},{2,5},{3},{4},{7}}=>12
[4,3,2,5,6,1,7]=>[6,3,4,2,5,1,7]=>[7,5,3,4,6,2,1]=>{{1,7},{2,5,6},{3},{4}}=>6
[4,3,2,5,6,7,1]=>[7,3,4,2,5,6,1]=>[1,5,3,4,6,7,2]=>{{1},{2,5,6,7},{3},{4}}=>6
[4,3,2,5,7,1,6]=>[7,3,4,2,5,1,6]=>[7,5,3,4,6,1,2]=>{{1,7},{2,5,6},{3},{4}}=>6
[4,3,2,5,7,6,1]=>[6,3,4,2,5,7,1]=>[1,5,3,4,6,2,7]=>{{1},{2,5,6},{3},{4},{7}}=>12
[4,3,2,6,1,5,7]=>[6,3,4,2,1,5,7]=>[6,5,3,4,7,2,1]=>{{1,6},{2,5,7},{3},{4}}=>6
[4,3,2,6,1,7,5]=>[6,3,4,2,7,1,5]=>[7,5,3,4,1,2,6]=>{{1,7},{2,5},{3},{4},{6}}=>11
[4,3,2,6,5,1,7]=>[5,3,4,2,6,1,7]=>[7,5,3,4,2,6,1]=>{{1,7},{2,5},{3},{4},{6}}=>11
[4,3,2,6,5,7,1]=>[7,3,4,2,6,5,1]=>[1,5,3,4,7,6,2]=>{{1},{2,5,7},{3},{4},{6}}=>11
[4,3,2,6,7,1,5]=>[7,3,4,2,1,6,5]=>[6,5,3,4,1,7,2]=>{{1,6,7},{2,5},{3},{4}}=>6
[4,3,2,6,7,5,1]=>[5,3,4,2,7,6,1]=>[1,5,3,4,2,7,6]=>{{1},{2,5},{3},{4},{6,7}}=>11
[4,3,2,7,1,5,6]=>[7,3,4,2,1,5,6]=>[6,5,3,4,7,1,2]=>{{1,6},{2,5,7},{3},{4}}=>6
[4,3,2,7,1,6,5]=>[7,3,4,2,6,1,5]=>[7,5,3,4,1,6,2]=>{{1,7},{2,5},{3},{4},{6}}=>11
[4,3,2,7,5,1,6]=>[5,3,4,2,7,1,6]=>[7,5,3,4,2,1,6]=>{{1,7},{2,5},{3},{4},{6}}=>11
[4,3,2,7,5,6,1]=>[6,3,4,2,7,5,1]=>[1,5,3,4,7,2,6]=>{{1},{2,5,7},{3},{4},{6}}=>11
[4,3,2,7,6,1,5]=>[6,3,4,2,1,7,5]=>[6,5,3,4,1,2,7]=>{{1,6},{2,5},{3},{4},{7}}=>12
[4,3,2,7,6,5,1]=>[5,3,4,2,6,7,1]=>[1,5,3,4,2,6,7]=>{{1},{2,5},{3},{4},{6},{7}}=>17
[4,3,5,1,2,6,7]=>[5,1,4,3,2,6,7]=>[3,6,5,4,2,7,1]=>{{1,3,5},{2,6,7},{4}}=>4
[4,3,5,1,2,7,6]=>[5,1,4,3,2,7,6]=>[3,6,5,4,2,1,7]=>{{1,3,5},{2,6},{4},{7}}=>10
[4,3,5,1,6,2,7]=>[5,6,4,3,1,2,7]=>[6,7,5,4,2,3,1]=>{{1,6},{2,7},{3,5},{4}}=>6
[4,3,5,1,6,7,2]=>[5,7,4,3,1,6,2]=>[6,1,5,4,2,7,3]=>{{1,6,7},{2},{3,5},{4}}=>6
[4,3,5,1,7,2,6]=>[5,7,4,3,1,2,6]=>[6,7,5,4,2,1,3]=>{{1,6},{2,7},{3,5},{4}}=>6
[4,3,5,1,7,6,2]=>[5,6,4,3,1,7,2]=>[6,1,5,4,2,3,7]=>{{1,6},{2},{3,5},{4},{7}}=>12
[4,3,5,2,1,6,7]=>[2,5,4,3,1,6,7]=>[6,2,5,4,3,7,1]=>{{1,6,7},{2},{3,5},{4}}=>6
[4,3,5,2,1,7,6]=>[2,5,4,3,1,7,6]=>[6,2,5,4,3,1,7]=>{{1,6},{2},{3,5},{4},{7}}=>12
[4,3,5,2,6,1,7]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>6
[4,3,5,2,6,7,1]=>[7,5,4,3,2,6,1]=>[1,6,5,4,3,7,2]=>{{1},{2,6,7},{3,5},{4}}=>6
[4,3,5,2,7,1,6]=>[7,5,4,3,2,1,6]=>[7,6,5,4,3,1,2]=>{{1,7},{2,6},{3,5},{4}}=>6
[4,3,5,2,7,6,1]=>[6,5,4,3,2,7,1]=>[1,6,5,4,3,2,7]=>{{1},{2,6},{3,5},{4},{7}}=>12
[4,3,5,6,1,2,7]=>[6,1,4,3,5,2,7]=>[3,7,5,4,6,2,1]=>{{1,3,5,6},{2,7},{4}}=>4
[4,3,5,6,1,7,2]=>[6,7,4,3,5,1,2]=>[7,1,5,4,6,2,3]=>{{1,7},{2},{3,5,6},{4}}=>6
[4,3,5,6,2,1,7]=>[2,6,4,3,5,1,7]=>[7,2,5,4,6,3,1]=>{{1,7},{2},{3,5,6},{4}}=>6
[4,3,5,6,2,7,1]=>[7,6,4,3,5,2,1]=>[1,7,5,4,6,3,2]=>{{1},{2,7},{3,5,6},{4}}=>6
[4,3,5,6,7,1,2]=>[7,1,4,3,5,6,2]=>[3,1,5,4,6,7,2]=>{{1,3,5,6,7},{2},{4}}=>4
[4,3,5,6,7,2,1]=>[2,7,4,3,5,6,1]=>[1,2,5,4,6,7,3]=>{{1},{2},{3,5,6,7},{4}}=>6
[4,3,5,7,1,2,6]=>[7,1,4,3,5,2,6]=>[3,7,5,4,6,1,2]=>{{1,3,5,6},{2,7},{4}}=>4
[4,3,5,7,1,6,2]=>[7,6,4,3,5,1,2]=>[7,1,5,4,6,3,2]=>{{1,7},{2},{3,5,6},{4}}=>6
[4,3,5,7,2,1,6]=>[2,7,4,3,5,1,6]=>[7,2,5,4,6,1,3]=>{{1,7},{2},{3,5,6},{4}}=>6
[4,3,5,7,2,6,1]=>[6,7,4,3,5,2,1]=>[1,7,5,4,6,2,3]=>{{1},{2,7},{3,5,6},{4}}=>6
[4,3,5,7,6,1,2]=>[6,1,4,3,5,7,2]=>[3,1,5,4,6,2,7]=>{{1,3,5,6},{2},{4},{7}}=>10
[4,3,5,7,6,2,1]=>[2,6,4,3,5,7,1]=>[1,2,5,4,6,3,7]=>{{1},{2},{3,5,6},{4},{7}}=>12
[4,3,6,1,2,5,7]=>[6,1,4,3,2,5,7]=>[3,6,5,4,7,2,1]=>{{1,3,5,7},{2,6},{4}}=>4
[4,3,6,1,2,7,5]=>[6,1,4,3,7,2,5]=>[3,7,5,4,1,2,6]=>{{1,3,5},{2,7},{4},{6}}=>9
[4,3,6,1,5,2,7]=>[6,5,4,3,1,2,7]=>[6,7,5,4,3,2,1]=>{{1,6},{2,7},{3,5},{4}}=>6
[4,3,6,1,5,7,2]=>[6,7,4,3,1,5,2]=>[6,1,5,4,7,2,3]=>{{1,6},{2},{3,5,7},{4}}=>6
[4,3,6,1,7,2,5]=>[6,7,4,3,2,1,5]=>[7,6,5,4,1,2,3]=>{{1,7},{2,6},{3,5},{4}}=>6
[4,3,6,1,7,5,2]=>[6,5,4,3,7,1,2]=>[7,1,5,4,3,2,6]=>{{1,7},{2},{3,5},{4},{6}}=>11
[4,3,6,2,1,5,7]=>[2,6,4,3,1,5,7]=>[6,2,5,4,7,3,1]=>{{1,6},{2},{3,5,7},{4}}=>6
[4,3,6,2,1,7,5]=>[2,6,4,3,7,1,5]=>[7,2,5,4,1,3,6]=>{{1,7},{2},{3,5},{4},{6}}=>11
[4,3,6,2,5,1,7]=>[5,6,4,3,2,1,7]=>[7,6,5,4,2,3,1]=>{{1,7},{2,6},{3,5},{4}}=>6
[4,3,6,2,5,7,1]=>[7,6,4,3,2,5,1]=>[1,6,5,4,7,3,2]=>{{1},{2,6},{3,5,7},{4}}=>6
[4,3,6,2,7,1,5]=>[7,6,4,3,1,2,5]=>[6,7,5,4,1,3,2]=>{{1,6},{2,7},{3,5},{4}}=>6
[4,3,6,2,7,5,1]=>[5,7,4,3,6,1,2]=>[7,1,5,4,2,6,3]=>{{1,7},{2},{3,5},{4},{6}}=>11
[4,3,6,5,1,2,7]=>[5,1,4,3,6,2,7]=>[3,7,5,4,2,6,1]=>{{1,3,5},{2,7},{4},{6}}=>9
[4,3,6,5,1,7,2]=>[5,6,4,3,7,2,1]=>[1,7,5,4,2,3,6]=>{{1},{2,7},{3,5},{4},{6}}=>11
[4,3,6,5,2,1,7]=>[2,5,4,3,6,1,7]=>[7,2,5,4,3,6,1]=>{{1,7},{2},{3,5},{4},{6}}=>11
[4,3,6,5,2,7,1]=>[7,5,4,3,6,2,1]=>[1,7,5,4,3,6,2]=>{{1},{2,7},{3,5},{4},{6}}=>11
[4,3,6,5,7,1,2]=>[7,1,4,3,6,5,2]=>[3,1,5,4,7,6,2]=>{{1,3,5,7},{2},{4},{6}}=>9
[4,3,6,5,7,2,1]=>[2,7,4,3,6,5,1]=>[1,2,5,4,7,6,3]=>{{1},{2},{3,5,7},{4},{6}}=>11
[4,3,6,7,1,2,5]=>[7,1,4,3,2,6,5]=>[3,6,5,4,1,7,2]=>{{1,3,5},{2,6,7},{4}}=>4
[4,3,6,7,1,5,2]=>[7,5,4,3,1,6,2]=>[6,1,5,4,3,7,2]=>{{1,6,7},{2},{3,5},{4}}=>6
[4,3,6,7,2,1,5]=>[2,7,4,3,1,6,5]=>[6,2,5,4,1,7,3]=>{{1,6,7},{2},{3,5},{4}}=>6
[4,3,6,7,2,5,1]=>[5,7,4,3,2,6,1]=>[1,6,5,4,2,7,3]=>{{1},{2,6,7},{3,5},{4}}=>6
[4,3,6,7,5,1,2]=>[5,1,4,3,7,6,2]=>[3,1,5,4,2,7,6]=>{{1,3,5},{2},{4},{6,7}}=>9
[4,3,6,7,5,2,1]=>[2,5,4,3,7,6,1]=>[1,2,5,4,3,7,6]=>{{1},{2},{3,5},{4},{6,7}}=>11
[4,3,7,1,2,5,6]=>[7,1,4,3,2,5,6]=>[3,6,5,4,7,1,2]=>{{1,3,5,7},{2,6},{4}}=>4
[4,3,7,1,2,6,5]=>[7,1,4,3,6,2,5]=>[3,7,5,4,1,6,2]=>{{1,3,5},{2,7},{4},{6}}=>9
[4,3,7,1,5,2,6]=>[7,5,4,3,1,2,6]=>[6,7,5,4,3,1,2]=>{{1,6},{2,7},{3,5},{4}}=>6
[4,3,7,1,5,6,2]=>[7,6,4,3,1,5,2]=>[6,1,5,4,7,3,2]=>{{1,6},{2},{3,5,7},{4}}=>6
[4,3,7,1,6,2,5]=>[7,6,4,3,2,1,5]=>[7,6,5,4,1,3,2]=>{{1,7},{2,6},{3,5},{4}}=>6
[4,3,7,1,6,5,2]=>[7,5,4,3,6,1,2]=>[7,1,5,4,3,6,2]=>{{1,7},{2},{3,5},{4},{6}}=>11
[4,3,7,2,1,5,6]=>[2,7,4,3,1,5,6]=>[6,2,5,4,7,1,3]=>{{1,6},{2},{3,5,7},{4}}=>6
[4,3,7,2,1,6,5]=>[2,7,4,3,6,1,5]=>[7,2,5,4,1,6,3]=>{{1,7},{2},{3,5},{4},{6}}=>11
[4,3,7,2,5,1,6]=>[5,7,4,3,2,1,6]=>[7,6,5,4,2,1,3]=>{{1,7},{2,6},{3,5},{4}}=>6
[4,3,7,2,5,6,1]=>[6,7,4,3,2,5,1]=>[1,6,5,4,7,2,3]=>{{1},{2,6},{3,5,7},{4}}=>6
[4,3,7,2,6,1,5]=>[6,7,4,3,1,2,5]=>[6,7,5,4,1,2,3]=>{{1,6},{2,7},{3,5},{4}}=>6
[4,3,7,2,6,5,1]=>[5,6,4,3,7,1,2]=>[7,1,5,4,2,3,6]=>{{1,7},{2},{3,5},{4},{6}}=>11
[4,3,7,5,1,2,6]=>[5,1,4,3,7,2,6]=>[3,7,5,4,2,1,6]=>{{1,3,5},{2,7},{4},{6}}=>9
[4,3,7,5,1,6,2]=>[5,7,4,3,6,2,1]=>[1,7,5,4,2,6,3]=>{{1},{2,7},{3,5},{4},{6}}=>11
[4,3,7,5,2,1,6]=>[2,5,4,3,7,1,6]=>[7,2,5,4,3,1,6]=>{{1,7},{2},{3,5},{4},{6}}=>11
[4,3,7,5,2,6,1]=>[6,5,4,3,7,2,1]=>[1,7,5,4,3,2,6]=>{{1},{2,7},{3,5},{4},{6}}=>11
[4,3,7,5,6,1,2]=>[6,1,4,3,7,5,2]=>[3,1,5,4,7,2,6]=>{{1,3,5,7},{2},{4},{6}}=>9
[4,3,7,5,6,2,1]=>[2,6,4,3,7,5,1]=>[1,2,5,4,7,3,6]=>{{1},{2},{3,5,7},{4},{6}}=>11
[4,3,7,6,1,2,5]=>[6,1,4,3,2,7,5]=>[3,6,5,4,1,2,7]=>{{1,3,5},{2,6},{4},{7}}=>10
[4,3,7,6,1,5,2]=>[6,5,4,3,1,7,2]=>[6,1,5,4,3,2,7]=>{{1,6},{2},{3,5},{4},{7}}=>12
[4,3,7,6,2,1,5]=>[2,6,4,3,1,7,5]=>[6,2,5,4,1,3,7]=>{{1,6},{2},{3,5},{4},{7}}=>12
[4,3,7,6,2,5,1]=>[5,6,4,3,2,7,1]=>[1,6,5,4,2,3,7]=>{{1},{2,6},{3,5},{4},{7}}=>12
[4,3,7,6,5,1,2]=>[5,1,4,3,6,7,2]=>[3,1,5,4,2,6,7]=>{{1,3,5},{2},{4},{6},{7}}=>15
[4,3,7,6,5,2,1]=>[2,5,4,3,6,7,1]=>[1,2,5,4,3,6,7]=>{{1},{2},{3,5},{4},{6},{7}}=>17
[4,5,1,2,3,6,7]=>[5,1,2,4,3,6,7]=>[3,4,6,5,2,7,1]=>{{1,3,6,7},{2,4,5}}=>1
[4,5,1,2,3,7,6]=>[5,1,2,4,3,7,6]=>[3,4,6,5,2,1,7]=>{{1,3,6},{2,4,5},{7}}=>7
[4,5,1,2,6,3,7]=>[5,1,6,4,2,3,7]=>[3,6,7,5,2,4,1]=>{{1,3,7},{2,6},{4,5}}=>4
[4,5,1,2,6,7,3]=>[5,1,7,4,2,6,3]=>[3,6,1,5,2,7,4]=>{{1,3},{2,6,7},{4,5}}=>4
[4,5,1,2,7,3,6]=>[5,1,7,4,2,3,6]=>[3,6,7,5,2,1,4]=>{{1,3,7},{2,6},{4,5}}=>4
[4,5,1,2,7,6,3]=>[5,1,6,4,2,7,3]=>[3,6,1,5,2,4,7]=>{{1,3},{2,6},{4,5},{7}}=>10
[4,5,1,3,2,6,7]=>[5,3,1,4,2,6,7]=>[4,6,3,5,2,7,1]=>{{1,4,5},{2,6,7},{3}}=>3
[4,5,1,3,2,7,6]=>[5,3,1,4,2,7,6]=>[4,6,3,5,2,1,7]=>{{1,4,5},{2,6},{3},{7}}=>9
[4,5,1,3,6,2,7]=>[5,6,1,4,3,2,7]=>[4,7,6,5,2,3,1]=>{{1,4,5},{2,7},{3,6}}=>3
[4,5,1,3,6,7,2]=>[5,7,1,4,3,6,2]=>[4,1,6,5,2,7,3]=>{{1,4,5},{2},{3,6,7}}=>3
[4,5,1,3,7,2,6]=>[5,7,1,4,3,2,6]=>[4,7,6,5,2,1,3]=>{{1,4,5},{2,7},{3,6}}=>3
[4,5,1,3,7,6,2]=>[5,6,1,4,3,7,2]=>[4,1,6,5,2,3,7]=>{{1,4,5},{2},{3,6},{7}}=>9
[4,5,1,6,2,3,7]=>[5,6,2,4,1,3,7]=>[6,4,7,5,2,3,1]=>{{1,6},{2,4,5},{3,7}}=>3
[4,5,1,6,2,7,3]=>[5,6,7,4,1,2,3]=>[6,7,1,5,2,3,4]=>{{1,6},{2,7},{3},{4,5}}=>6
[4,5,1,6,3,2,7]=>[5,3,6,4,1,2,7]=>[6,7,3,5,2,4,1]=>{{1,6},{2,7},{3},{4,5}}=>6
[4,5,1,6,3,7,2]=>[5,7,6,4,1,3,2]=>[6,1,7,5,2,4,3]=>{{1,6},{2},{3,7},{4,5}}=>6
[4,5,1,6,7,2,3]=>[5,7,2,4,1,6,3]=>[6,4,1,5,2,7,3]=>{{1,6,7},{2,4,5},{3}}=>3
[4,5,1,6,7,3,2]=>[5,3,7,4,1,6,2]=>[6,1,3,5,2,7,4]=>{{1,6,7},{2},{3},{4,5}}=>6
[4,5,1,7,2,3,6]=>[5,7,2,4,1,3,6]=>[6,4,7,5,2,1,3]=>{{1,6},{2,4,5},{3,7}}=>3
[4,5,1,7,2,6,3]=>[5,7,6,4,1,2,3]=>[6,7,1,5,2,4,3]=>{{1,6},{2,7},{3},{4,5}}=>6
[4,5,1,7,3,2,6]=>[5,3,7,4,1,2,6]=>[6,7,3,5,2,1,4]=>{{1,6},{2,7},{3},{4,5}}=>6
[4,5,1,7,3,6,2]=>[5,6,7,4,1,3,2]=>[6,1,7,5,2,3,4]=>{{1,6},{2},{3,7},{4,5}}=>6
[4,5,1,7,6,2,3]=>[5,6,2,4,1,7,3]=>[6,4,1,5,2,3,7]=>{{1,6},{2,4,5},{3},{7}}=>9
[4,5,1,7,6,3,2]=>[5,3,6,4,1,7,2]=>[6,1,3,5,2,4,7]=>{{1,6},{2},{3},{4,5},{7}}=>12
[4,5,2,1,3,6,7]=>[2,5,1,4,3,6,7]=>[4,2,6,5,3,7,1]=>{{1,4,5},{2},{3,6,7}}=>3
[4,5,2,1,3,7,6]=>[2,5,1,4,3,7,6]=>[4,2,6,5,3,1,7]=>{{1,4,5},{2},{3,6},{7}}=>9
[4,5,2,1,6,3,7]=>[2,5,6,4,1,3,7]=>[6,2,7,5,3,4,1]=>{{1,6},{2},{3,7},{4,5}}=>6
[4,5,2,1,6,7,3]=>[2,5,7,4,1,6,3]=>[6,2,1,5,3,7,4]=>{{1,6,7},{2},{3},{4,5}}=>6
[4,5,2,1,7,3,6]=>[2,5,7,4,1,3,6]=>[6,2,7,5,3,1,4]=>{{1,6},{2},{3,7},{4,5}}=>6
[4,5,2,1,7,6,3]=>[2,5,6,4,1,7,3]=>[6,2,1,5,3,4,7]=>{{1,6},{2},{3},{4,5},{7}}=>12
[4,5,2,3,1,6,7]=>[3,5,2,4,1,6,7]=>[6,4,2,5,3,7,1]=>{{1,6,7},{2,4,5},{3}}=>3
[4,5,2,3,1,7,6]=>[3,5,2,4,1,7,6]=>[6,4,2,5,3,1,7]=>{{1,6},{2,4,5},{3},{7}}=>9
[4,5,2,3,6,1,7]=>[6,5,2,4,3,1,7]=>[7,4,6,5,3,2,1]=>{{1,7},{2,4,5},{3,6}}=>3
[4,5,2,3,6,7,1]=>[7,5,2,4,3,6,1]=>[1,4,6,5,3,7,2]=>{{1},{2,4,5},{3,6,7}}=>3
[4,5,2,3,7,1,6]=>[7,5,2,4,3,1,6]=>[7,4,6,5,3,1,2]=>{{1,7},{2,4,5},{3,6}}=>3
[4,5,2,3,7,6,1]=>[6,5,2,4,3,7,1]=>[1,4,6,5,3,2,7]=>{{1},{2,4,5},{3,6},{7}}=>9
[4,5,2,6,1,3,7]=>[6,5,1,4,2,3,7]=>[4,6,7,5,3,2,1]=>{{1,4,5},{2,6},{3,7}}=>3
[4,5,2,6,1,7,3]=>[6,5,7,4,2,1,3]=>[7,6,1,5,3,2,4]=>{{1,7},{2,6},{3},{4,5}}=>6
[4,5,2,6,3,1,7]=>[3,6,5,4,1,2,7]=>[6,7,2,5,4,3,1]=>{{1,6},{2,7},{3},{4,5}}=>6
[4,5,2,6,3,7,1]=>[7,5,6,4,2,3,1]=>[1,6,7,5,3,4,2]=>{{1},{2,6},{3,7},{4,5}}=>6
[4,5,2,6,7,1,3]=>[7,5,1,4,2,6,3]=>[4,6,1,5,3,7,2]=>{{1,4,5},{2,6,7},{3}}=>3
[4,5,2,6,7,3,1]=>[3,7,5,4,1,6,2]=>[6,1,2,5,4,7,3]=>{{1,6,7},{2},{3},{4,5}}=>6
[4,5,2,7,1,3,6]=>[7,5,1,4,2,3,6]=>[4,6,7,5,3,1,2]=>{{1,4,5},{2,6},{3,7}}=>3
[4,5,2,7,1,6,3]=>[7,5,6,4,2,1,3]=>[7,6,1,5,3,4,2]=>{{1,7},{2,6},{3},{4,5}}=>6
[4,5,2,7,3,1,6]=>[3,7,5,4,1,2,6]=>[6,7,2,5,4,1,3]=>{{1,6},{2,7},{3},{4,5}}=>6
[4,5,2,7,3,6,1]=>[6,5,7,4,2,3,1]=>[1,6,7,5,3,2,4]=>{{1},{2,6},{3,7},{4,5}}=>6
[4,5,2,7,6,1,3]=>[6,5,1,4,2,7,3]=>[4,6,1,5,3,2,7]=>{{1,4,5},{2,6},{3},{7}}=>9
[4,5,2,7,6,3,1]=>[3,6,5,4,1,7,2]=>[6,1,2,5,4,3,7]=>{{1,6},{2},{3},{4,5},{7}}=>12
[4,5,3,1,2,6,7]=>[3,1,5,4,2,6,7]=>[3,6,2,5,4,7,1]=>{{1,3},{2,6,7},{4,5}}=>4
[4,5,3,1,2,7,6]=>[3,1,5,4,2,7,6]=>[3,6,2,5,4,1,7]=>{{1,3},{2,6},{4,5},{7}}=>10
[4,5,3,1,6,2,7]=>[3,5,6,4,2,1,7]=>[7,6,2,5,3,4,1]=>{{1,7},{2,6},{3},{4,5}}=>6
[4,5,3,1,6,7,2]=>[3,5,7,4,2,6,1]=>[1,6,2,5,3,7,4]=>{{1},{2,6,7},{3},{4,5}}=>6
[4,5,3,1,7,2,6]=>[3,5,7,4,2,1,6]=>[7,6,2,5,3,1,4]=>{{1,7},{2,6},{3},{4,5}}=>6
[4,5,3,1,7,6,2]=>[3,5,6,4,2,7,1]=>[1,6,2,5,3,4,7]=>{{1},{2,6},{3},{4,5},{7}}=>12
[4,5,3,2,1,6,7]=>[2,3,5,4,1,6,7]=>[6,2,3,5,4,7,1]=>{{1,6,7},{2},{3},{4,5}}=>6
[4,5,3,2,1,7,6]=>[2,3,5,4,1,7,6]=>[6,2,3,5,4,1,7]=>{{1,6},{2},{3},{4,5},{7}}=>12
[4,5,3,2,6,1,7]=>[6,3,5,4,2,1,7]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>6
[4,5,3,2,6,7,1]=>[7,3,5,4,2,6,1]=>[1,6,3,5,4,7,2]=>{{1},{2,6,7},{3},{4,5}}=>6
[4,5,3,2,7,1,6]=>[7,3,5,4,2,1,6]=>[7,6,3,5,4,1,2]=>{{1,7},{2,6},{3},{4,5}}=>6
[4,5,3,2,7,6,1]=>[6,3,5,4,2,7,1]=>[1,6,3,5,4,2,7]=>{{1},{2,6},{3},{4,5},{7}}=>12
[4,5,3,6,1,2,7]=>[6,1,5,4,3,2,7]=>[3,7,6,5,4,2,1]=>{{1,3,6},{2,7},{4,5}}=>4
[4,5,3,6,1,7,2]=>[6,7,5,4,3,1,2]=>[7,1,6,5,4,2,3]=>{{1,7},{2},{3,6},{4,5}}=>6
[4,5,3,6,2,1,7]=>[2,6,5,4,3,1,7]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>6
[4,5,3,6,2,7,1]=>[7,6,5,4,3,2,1]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>6
[4,5,3,6,7,1,2]=>[7,1,5,4,3,6,2]=>[3,1,6,5,4,7,2]=>{{1,3,6,7},{2},{4,5}}=>4
[4,5,3,6,7,2,1]=>[2,7,5,4,3,6,1]=>[1,2,6,5,4,7,3]=>{{1},{2},{3,6,7},{4,5}}=>6
[4,5,3,7,1,2,6]=>[7,1,5,4,3,2,6]=>[3,7,6,5,4,1,2]=>{{1,3,6},{2,7},{4,5}}=>4
[4,5,3,7,1,6,2]=>[7,6,5,4,3,1,2]=>[7,1,6,5,4,3,2]=>{{1,7},{2},{3,6},{4,5}}=>6
[4,5,3,7,2,1,6]=>[2,7,5,4,3,1,6]=>[7,2,6,5,4,1,3]=>{{1,7},{2},{3,6},{4,5}}=>6
[4,5,3,7,2,6,1]=>[6,7,5,4,3,2,1]=>[1,7,6,5,4,2,3]=>{{1},{2,7},{3,6},{4,5}}=>6
[4,5,3,7,6,1,2]=>[6,1,5,4,3,7,2]=>[3,1,6,5,4,2,7]=>{{1,3,6},{2},{4,5},{7}}=>10
[4,5,3,7,6,2,1]=>[2,6,5,4,3,7,1]=>[1,2,6,5,4,3,7]=>{{1},{2},{3,6},{4,5},{7}}=>12
[4,5,6,1,2,3,7]=>[6,1,2,4,5,3,7]=>[3,4,7,5,6,2,1]=>{{1,3,7},{2,4,5,6}}=>1
[4,5,6,1,2,7,3]=>[6,1,7,4,5,2,3]=>[3,7,1,5,6,2,4]=>{{1,3},{2,7},{4,5,6}}=>4
[4,5,6,1,3,2,7]=>[6,3,1,4,5,2,7]=>[4,7,3,5,6,2,1]=>{{1,4,5,6},{2,7},{3}}=>3
[4,5,6,1,3,7,2]=>[6,7,1,4,5,3,2]=>[4,1,7,5,6,2,3]=>{{1,4,5,6},{2},{3,7}}=>3
[4,5,6,1,7,2,3]=>[6,7,2,4,5,1,3]=>[7,4,1,5,6,2,3]=>{{1,7},{2,4,5,6},{3}}=>3
[4,5,6,1,7,3,2]=>[6,3,7,4,5,1,2]=>[7,1,3,5,6,2,4]=>{{1,7},{2},{3},{4,5,6}}=>6
[4,5,6,2,1,3,7]=>[2,6,1,4,5,3,7]=>[4,2,7,5,6,3,1]=>{{1,4,5,6},{2},{3,7}}=>3
[4,5,6,2,1,7,3]=>[2,6,7,4,5,1,3]=>[7,2,1,5,6,3,4]=>{{1,7},{2},{3},{4,5,6}}=>6
[4,5,6,2,3,1,7]=>[3,6,2,4,5,1,7]=>[7,4,2,5,6,3,1]=>{{1,7},{2,4,5,6},{3}}=>3
[4,5,6,2,3,7,1]=>[7,6,2,4,5,3,1]=>[1,4,7,5,6,3,2]=>{{1},{2,4,5,6},{3,7}}=>3
[4,5,6,2,7,1,3]=>[7,6,1,4,5,2,3]=>[4,7,1,5,6,3,2]=>{{1,4,5,6},{2,7},{3}}=>3
[4,5,6,2,7,3,1]=>[3,7,6,4,5,1,2]=>[7,1,2,5,6,4,3]=>{{1,7},{2},{3},{4,5,6}}=>6
[4,5,6,3,1,2,7]=>[3,1,6,4,5,2,7]=>[3,7,2,5,6,4,1]=>{{1,3},{2,7},{4,5,6}}=>4
[4,5,6,3,1,7,2]=>[3,6,7,4,5,2,1]=>[1,7,2,5,6,3,4]=>{{1},{2,7},{3},{4,5,6}}=>6
[4,5,6,3,2,1,7]=>[2,3,6,4,5,1,7]=>[7,2,3,5,6,4,1]=>{{1,7},{2},{3},{4,5,6}}=>6
[4,5,6,3,2,7,1]=>[7,3,6,4,5,2,1]=>[1,7,3,5,6,4,2]=>{{1},{2,7},{3},{4,5,6}}=>6
[4,5,6,3,7,1,2]=>[7,1,6,4,5,3,2]=>[3,1,7,5,6,4,2]=>{{1,3,7},{2},{4,5,6}}=>4
[4,5,6,3,7,2,1]=>[2,7,6,4,5,3,1]=>[1,2,7,5,6,4,3]=>{{1},{2},{3,7},{4,5,6}}=>6
[4,5,6,7,1,2,3]=>[7,1,2,4,5,6,3]=>[3,4,1,5,6,7,2]=>{{1,3},{2,4,5,6,7}}=>1
[4,5,6,7,1,3,2]=>[7,3,1,4,5,6,2]=>[4,1,3,5,6,7,2]=>{{1,4,5,6,7},{2},{3}}=>3
[4,5,6,7,2,1,3]=>[2,7,1,4,5,6,3]=>[4,2,1,5,6,7,3]=>{{1,4,5,6,7},{2},{3}}=>3
[4,5,6,7,2,3,1]=>[3,7,2,4,5,6,1]=>[1,4,2,5,6,7,3]=>{{1},{2,4,5,6,7},{3}}=>3
[4,5,6,7,3,1,2]=>[3,1,7,4,5,6,2]=>[3,1,2,5,6,7,4]=>{{1,3},{2},{4,5,6,7}}=>4
[4,5,6,7,3,2,1]=>[2,3,7,4,5,6,1]=>[1,2,3,5,6,7,4]=>{{1},{2},{3},{4,5,6,7}}=>6
[4,5,7,1,2,3,6]=>[7,1,2,4,5,3,6]=>[3,4,7,5,6,1,2]=>{{1,3,7},{2,4,5,6}}=>1
[4,5,7,1,2,6,3]=>[7,1,6,4,5,2,3]=>[3,7,1,5,6,4,2]=>{{1,3},{2,7},{4,5,6}}=>4
[4,5,7,1,3,2,6]=>[7,3,1,4,5,2,6]=>[4,7,3,5,6,1,2]=>{{1,4,5,6},{2,7},{3}}=>3
[4,5,7,1,3,6,2]=>[7,6,1,4,5,3,2]=>[4,1,7,5,6,3,2]=>{{1,4,5,6},{2},{3,7}}=>3
[4,5,7,1,6,2,3]=>[7,6,2,4,5,1,3]=>[7,4,1,5,6,3,2]=>{{1,7},{2,4,5,6},{3}}=>3
[4,5,7,1,6,3,2]=>[7,3,6,4,5,1,2]=>[7,1,3,5,6,4,2]=>{{1,7},{2},{3},{4,5,6}}=>6
[4,5,7,2,1,3,6]=>[2,7,1,4,5,3,6]=>[4,2,7,5,6,1,3]=>{{1,4,5,6},{2},{3,7}}=>3
[4,5,7,2,1,6,3]=>[2,7,6,4,5,1,3]=>[7,2,1,5,6,4,3]=>{{1,7},{2},{3},{4,5,6}}=>6
[4,5,7,2,3,1,6]=>[3,7,2,4,5,1,6]=>[7,4,2,5,6,1,3]=>{{1,7},{2,4,5,6},{3}}=>3
[4,5,7,2,3,6,1]=>[6,7,2,4,5,3,1]=>[1,4,7,5,6,2,3]=>{{1},{2,4,5,6},{3,7}}=>3
[4,5,7,2,6,1,3]=>[6,7,1,4,5,2,3]=>[4,7,1,5,6,2,3]=>{{1,4,5,6},{2,7},{3}}=>3
[4,5,7,2,6,3,1]=>[3,6,7,4,5,1,2]=>[7,1,2,5,6,3,4]=>{{1,7},{2},{3},{4,5,6}}=>6
[4,5,7,3,1,2,6]=>[3,1,7,4,5,2,6]=>[3,7,2,5,6,1,4]=>{{1,3},{2,7},{4,5,6}}=>4
[4,5,7,3,1,6,2]=>[3,7,6,4,5,2,1]=>[1,7,2,5,6,4,3]=>{{1},{2,7},{3},{4,5,6}}=>6
[4,5,7,3,2,1,6]=>[2,3,7,4,5,1,6]=>[7,2,3,5,6,1,4]=>{{1,7},{2},{3},{4,5,6}}=>6
[4,5,7,3,2,6,1]=>[6,3,7,4,5,2,1]=>[1,7,3,5,6,2,4]=>{{1},{2,7},{3},{4,5,6}}=>6
[4,5,7,3,6,1,2]=>[6,1,7,4,5,3,2]=>[3,1,7,5,6,2,4]=>{{1,3,7},{2},{4,5,6}}=>4
[4,5,7,3,6,2,1]=>[2,6,7,4,5,3,1]=>[1,2,7,5,6,3,4]=>{{1},{2},{3,7},{4,5,6}}=>6
[4,5,7,6,1,2,3]=>[6,1,2,4,5,7,3]=>[3,4,1,5,6,2,7]=>{{1,3},{2,4,5,6},{7}}=>7
[4,5,7,6,1,3,2]=>[6,3,1,4,5,7,2]=>[4,1,3,5,6,2,7]=>{{1,4,5,6},{2},{3},{7}}=>9
[4,5,7,6,2,1,3]=>[2,6,1,4,5,7,3]=>[4,2,1,5,6,3,7]=>{{1,4,5,6},{2},{3},{7}}=>9
[4,5,7,6,2,3,1]=>[3,6,2,4,5,7,1]=>[1,4,2,5,6,3,7]=>{{1},{2,4,5,6},{3},{7}}=>9
[4,5,7,6,3,1,2]=>[3,1,6,4,5,7,2]=>[3,1,2,5,6,4,7]=>{{1,3},{2},{4,5,6},{7}}=>10
[4,5,7,6,3,2,1]=>[2,3,6,4,5,7,1]=>[1,2,3,5,6,4,7]=>{{1},{2},{3},{4,5,6},{7}}=>12
[4,6,1,2,3,5,7]=>[6,1,2,4,3,5,7]=>[3,4,6,5,7,2,1]=>{{1,3,6},{2,4,5,7}}=>1
[4,6,1,2,3,7,5]=>[6,1,2,4,7,3,5]=>[3,4,7,5,1,2,6]=>{{1,3,7},{2,4,5},{6}}=>6
[4,6,1,2,5,3,7]=>[6,1,5,4,2,3,7]=>[3,6,7,5,4,2,1]=>{{1,3,7},{2,6},{4,5}}=>4
[4,6,1,2,5,7,3]=>[6,1,7,4,2,5,3]=>[3,6,1,5,7,2,4]=>{{1,3},{2,6},{4,5,7}}=>4
[4,6,1,2,7,3,5]=>[6,1,7,4,3,2,5]=>[3,7,6,5,1,2,4]=>{{1,3,6},{2,7},{4,5}}=>4
[4,6,1,2,7,5,3]=>[6,1,5,4,7,2,3]=>[3,7,1,5,4,2,6]=>{{1,3},{2,7},{4,5},{6}}=>9
[4,6,1,3,2,5,7]=>[6,3,1,4,2,5,7]=>[4,6,3,5,7,2,1]=>{{1,4,5,7},{2,6},{3}}=>3
[4,6,1,3,2,7,5]=>[6,3,1,4,7,2,5]=>[4,7,3,5,1,2,6]=>{{1,4,5},{2,7},{3},{6}}=>8
[4,6,1,3,5,2,7]=>[6,5,1,4,3,2,7]=>[4,7,6,5,3,2,1]=>{{1,4,5},{2,7},{3,6}}=>3
[4,6,1,3,5,7,2]=>[6,7,1,4,2,3,5]=>[4,6,7,5,1,2,3]=>{{1,4,5},{2,6},{3,7}}=>3
[4,6,1,3,7,2,5]=>[6,7,1,4,3,5,2]=>[4,1,6,5,7,2,3]=>{{1,4,5,7},{2},{3,6}}=>3
[4,6,1,3,7,5,2]=>[6,5,1,4,7,3,2]=>[4,1,7,5,3,2,6]=>{{1,4,5},{2},{3,7},{6}}=>8
[4,6,1,5,2,3,7]=>[6,5,2,4,1,3,7]=>[6,4,7,5,3,2,1]=>{{1,6},{2,4,5},{3,7}}=>3
[4,6,1,5,2,7,3]=>[6,5,7,4,1,2,3]=>[6,7,1,5,3,2,4]=>{{1,6},{2,7},{3},{4,5}}=>6
[4,6,1,5,3,2,7]=>[6,3,5,4,1,2,7]=>[6,7,3,5,4,2,1]=>{{1,6},{2,7},{3},{4,5}}=>6
[4,6,1,5,3,7,2]=>[6,7,5,4,1,3,2]=>[6,1,7,5,4,2,3]=>{{1,6},{2},{3,7},{4,5}}=>6
[4,6,1,5,7,2,3]=>[6,7,2,4,1,5,3]=>[6,4,1,5,7,2,3]=>{{1,6},{2,4,5,7},{3}}=>3
[4,6,1,5,7,3,2]=>[6,3,7,4,1,5,2]=>[6,1,3,5,7,2,4]=>{{1,6},{2},{3},{4,5,7}}=>6
[4,6,1,7,2,3,5]=>[6,7,2,4,3,1,5]=>[7,4,6,5,1,2,3]=>{{1,7},{2,4,5},{3,6}}=>3
[4,6,1,7,2,5,3]=>[6,7,5,4,2,1,3]=>[7,6,1,5,4,2,3]=>{{1,7},{2,6},{3},{4,5}}=>6
[4,6,1,7,3,2,5]=>[6,3,7,4,2,1,5]=>[7,6,3,5,1,2,4]=>{{1,7},{2,6},{3},{4,5}}=>6
[4,6,1,7,3,5,2]=>[6,5,7,4,3,1,2]=>[7,1,6,5,3,2,4]=>{{1,7},{2},{3,6},{4,5}}=>6
[4,6,1,7,5,2,3]=>[6,5,2,4,7,1,3]=>[7,4,1,5,3,2,6]=>{{1,7},{2,4,5},{3},{6}}=>8
[4,6,1,7,5,3,2]=>[6,3,5,4,7,1,2]=>[7,1,3,5,4,2,6]=>{{1,7},{2},{3},{4,5},{6}}=>11
[4,6,2,1,3,5,7]=>[2,6,1,4,3,5,7]=>[4,2,6,5,7,3,1]=>{{1,4,5,7},{2},{3,6}}=>3
[4,6,2,1,3,7,5]=>[2,6,1,4,7,3,5]=>[4,2,7,5,1,3,6]=>{{1,4,5},{2},{3,7},{6}}=>8
[4,6,2,1,5,3,7]=>[2,6,5,4,1,3,7]=>[6,2,7,5,4,3,1]=>{{1,6},{2},{3,7},{4,5}}=>6
[4,6,2,1,5,7,3]=>[2,6,7,4,1,5,3]=>[6,2,1,5,7,3,4]=>{{1,6},{2},{3},{4,5,7}}=>6
[4,6,2,1,7,3,5]=>[2,6,7,4,3,1,5]=>[7,2,6,5,1,3,4]=>{{1,7},{2},{3,6},{4,5}}=>6
[4,6,2,1,7,5,3]=>[2,6,5,4,7,1,3]=>[7,2,1,5,4,3,6]=>{{1,7},{2},{3},{4,5},{6}}=>11
[4,6,2,3,1,5,7]=>[3,6,2,4,1,5,7]=>[6,4,2,5,7,3,1]=>{{1,6},{2,4,5,7},{3}}=>3
[4,6,2,3,1,7,5]=>[3,6,2,4,7,1,5]=>[7,4,2,5,1,3,6]=>{{1,7},{2,4,5},{3},{6}}=>8
[4,6,2,3,5,1,7]=>[5,6,2,4,3,1,7]=>[7,4,6,5,2,3,1]=>{{1,7},{2,4,5},{3,6}}=>3
[4,6,2,3,5,7,1]=>[7,6,2,4,3,5,1]=>[1,4,6,5,7,3,2]=>{{1},{2,4,5,7},{3,6}}=>3
[4,6,2,3,7,1,5]=>[7,6,2,4,1,3,5]=>[6,4,7,5,1,3,2]=>{{1,6},{2,4,5},{3,7}}=>3
[4,6,2,3,7,5,1]=>[5,7,2,4,6,1,3]=>[7,4,1,5,2,6,3]=>{{1,7},{2,4,5},{3},{6}}=>8
[4,6,2,5,1,3,7]=>[5,6,1,4,2,3,7]=>[4,6,7,5,2,3,1]=>{{1,4,5},{2,6},{3,7}}=>3
[4,6,2,5,1,7,3]=>[5,6,7,4,2,1,3]=>[7,6,1,5,2,3,4]=>{{1,7},{2,6},{3},{4,5}}=>6
[4,6,2,5,3,1,7]=>[3,5,6,4,1,2,7]=>[6,7,2,5,3,4,1]=>{{1,6},{2,7},{3},{4,5}}=>6
[4,6,2,5,3,7,1]=>[7,6,5,4,2,3,1]=>[1,6,7,5,4,3,2]=>{{1},{2,6},{3,7},{4,5}}=>6
[4,6,2,5,7,1,3]=>[7,6,1,4,3,2,5]=>[4,7,6,5,1,3,2]=>{{1,4,5},{2,7},{3,6}}=>3
[4,6,2,5,7,3,1]=>[3,7,6,4,2,1,5]=>[7,6,2,5,1,4,3]=>{{1,7},{2,6},{3},{4,5}}=>6
[4,6,2,7,1,3,5]=>[7,6,1,4,2,5,3]=>[4,6,1,5,7,3,2]=>{{1,4,5,7},{2,6},{3}}=>3
[4,6,2,7,1,5,3]=>[7,6,5,4,1,2,3]=>[6,7,1,5,4,3,2]=>{{1,6},{2,7},{3},{4,5}}=>6
[4,6,2,7,3,1,5]=>[3,7,6,4,1,5,2]=>[6,1,2,5,7,4,3]=>{{1,6},{2},{3},{4,5,7}}=>6
[4,6,2,7,3,5,1]=>[5,6,7,4,3,2,1]=>[1,7,6,5,2,3,4]=>{{1},{2,7},{3,6},{4,5}}=>6
[4,6,2,7,5,1,3]=>[5,7,1,4,6,3,2]=>[4,1,7,5,2,6,3]=>{{1,4,5},{2},{3,7},{6}}=>8
[4,6,2,7,5,3,1]=>[3,5,7,4,6,2,1]=>[1,7,2,5,3,6,4]=>{{1},{2,7},{3},{4,5},{6}}=>11
[4,6,3,1,2,5,7]=>[3,1,6,4,2,5,7]=>[3,6,2,5,7,4,1]=>{{1,3},{2,6},{4,5,7}}=>4
[4,6,3,1,2,7,5]=>[3,1,6,4,7,2,5]=>[3,7,2,5,1,4,6]=>{{1,3},{2,7},{4,5},{6}}=>9
[4,6,3,1,5,2,7]=>[3,6,5,4,2,1,7]=>[7,6,2,5,4,3,1]=>{{1,7},{2,6},{3},{4,5}}=>6
[4,6,3,1,5,7,2]=>[3,6,7,4,1,2,5]=>[6,7,2,5,1,3,4]=>{{1,6},{2,7},{3},{4,5}}=>6
[4,6,3,1,7,2,5]=>[3,6,7,4,2,5,1]=>[1,6,2,5,7,3,4]=>{{1},{2,6},{3},{4,5,7}}=>6
[4,6,3,1,7,5,2]=>[3,6,5,4,7,2,1]=>[1,7,2,5,4,3,6]=>{{1},{2,7},{3},{4,5},{6}}=>11
[4,6,3,2,1,5,7]=>[2,3,6,4,1,5,7]=>[6,2,3,5,7,4,1]=>{{1,6},{2},{3},{4,5,7}}=>6
[4,6,3,2,1,7,5]=>[2,3,6,4,7,1,5]=>[7,2,3,5,1,4,6]=>{{1,7},{2},{3},{4,5},{6}}=>11
[4,6,3,2,5,1,7]=>[5,3,6,4,2,1,7]=>[7,6,3,5,2,4,1]=>{{1,7},{2,6},{3},{4,5}}=>6
[4,6,3,2,5,7,1]=>[7,3,6,4,2,5,1]=>[1,6,3,5,7,4,2]=>{{1},{2,6},{3},{4,5,7}}=>6
[4,6,3,2,7,1,5]=>[7,3,6,4,1,2,5]=>[6,7,3,5,1,4,2]=>{{1,6},{2,7},{3},{4,5}}=>6
[4,6,3,2,7,5,1]=>[5,3,7,4,6,1,2]=>[7,1,3,5,2,6,4]=>{{1,7},{2},{3},{4,5},{6}}=>11
[4,6,3,5,1,2,7]=>[5,1,6,4,3,2,7]=>[3,7,6,5,2,4,1]=>{{1,3,6},{2,7},{4,5}}=>4
[4,6,3,5,1,7,2]=>[5,7,6,4,3,1,2]=>[7,1,6,5,2,4,3]=>{{1,7},{2},{3,6},{4,5}}=>6
[4,6,3,5,2,1,7]=>[2,5,6,4,3,1,7]=>[7,2,6,5,3,4,1]=>{{1,7},{2},{3,6},{4,5}}=>6
[4,6,3,5,2,7,1]=>[7,5,6,4,3,2,1]=>[1,7,6,5,3,4,2]=>{{1},{2,7},{3,6},{4,5}}=>6
[4,6,3,5,7,1,2]=>[7,1,6,4,3,5,2]=>[3,1,6,5,7,4,2]=>{{1,3,6},{2},{4,5,7}}=>4
[4,6,3,5,7,2,1]=>[2,7,6,4,3,5,1]=>[1,2,6,5,7,4,3]=>{{1},{2},{3,6},{4,5,7}}=>6
[4,6,3,7,1,2,5]=>[7,1,6,4,2,3,5]=>[3,6,7,5,1,4,2]=>{{1,3,7},{2,6},{4,5}}=>4
[4,6,3,7,1,5,2]=>[7,5,6,4,1,3,2]=>[6,1,7,5,3,4,2]=>{{1,6},{2},{3,7},{4,5}}=>6
[4,6,3,7,2,1,5]=>[2,7,6,4,1,3,5]=>[6,2,7,5,1,4,3]=>{{1,6},{2},{3,7},{4,5}}=>6
[4,6,3,7,2,5,1]=>[5,7,6,4,2,3,1]=>[1,6,7,5,2,4,3]=>{{1},{2,6},{3,7},{4,5}}=>6
[4,6,3,7,5,1,2]=>[5,1,7,4,6,2,3]=>[3,7,1,5,2,6,4]=>{{1,3},{2,7},{4,5},{6}}=>9
[4,6,3,7,5,2,1]=>[2,5,7,4,6,1,3]=>[7,2,1,5,3,6,4]=>{{1,7},{2},{3},{4,5},{6}}=>11
[4,6,5,1,2,3,7]=>[5,1,2,4,6,3,7]=>[3,4,7,5,2,6,1]=>{{1,3,7},{2,4,5},{6}}=>6
[4,6,5,1,2,7,3]=>[5,1,6,4,7,3,2]=>[3,1,7,5,2,4,6]=>{{1,3,7},{2},{4,5},{6}}=>9
[4,6,5,1,3,2,7]=>[5,3,1,4,6,2,7]=>[4,7,3,5,2,6,1]=>{{1,4,5},{2,7},{3},{6}}=>8
[4,6,5,1,3,7,2]=>[5,6,1,4,7,2,3]=>[4,7,1,5,2,3,6]=>{{1,4,5},{2,7},{3},{6}}=>8
[4,6,5,1,7,2,3]=>[5,6,2,4,7,3,1]=>[1,4,7,5,2,3,6]=>{{1},{2,4,5},{3,7},{6}}=>8
[4,6,5,1,7,3,2]=>[5,3,6,4,7,2,1]=>[1,7,3,5,2,4,6]=>{{1},{2,7},{3},{4,5},{6}}=>11
[4,6,5,2,1,3,7]=>[2,5,1,4,6,3,7]=>[4,2,7,5,3,6,1]=>{{1,4,5},{2},{3,7},{6}}=>8
[4,6,5,2,1,7,3]=>[2,5,6,4,7,3,1]=>[1,2,7,5,3,4,6]=>{{1},{2},{3,7},{4,5},{6}}=>11
[4,6,5,2,3,1,7]=>[3,5,2,4,6,1,7]=>[7,4,2,5,3,6,1]=>{{1,7},{2,4,5},{3},{6}}=>8
[4,6,5,2,3,7,1]=>[7,5,2,4,6,3,1]=>[1,4,7,5,3,6,2]=>{{1},{2,4,5},{3,7},{6}}=>8
[4,6,5,2,7,1,3]=>[7,5,1,4,6,2,3]=>[4,7,1,5,3,6,2]=>{{1,4,5},{2,7},{3},{6}}=>8
[4,6,5,2,7,3,1]=>[3,7,5,4,6,1,2]=>[7,1,2,5,4,6,3]=>{{1,7},{2},{3},{4,5},{6}}=>11
[4,6,5,3,1,2,7]=>[3,1,5,4,6,2,7]=>[3,7,2,5,4,6,1]=>{{1,3},{2,7},{4,5},{6}}=>9
[4,6,5,3,1,7,2]=>[3,5,6,4,7,1,2]=>[7,1,2,5,3,4,6]=>{{1,7},{2},{3},{4,5},{6}}=>11
[4,6,5,3,2,1,7]=>[2,3,5,4,6,1,7]=>[7,2,3,5,4,6,1]=>{{1,7},{2},{3},{4,5},{6}}=>11
[4,6,5,3,2,7,1]=>[7,3,5,4,6,2,1]=>[1,7,3,5,4,6,2]=>{{1},{2,7},{3},{4,5},{6}}=>11
[4,6,5,3,7,1,2]=>[7,1,5,4,6,3,2]=>[3,1,7,5,4,6,2]=>{{1,3,7},{2},{4,5},{6}}=>9
[4,6,5,3,7,2,1]=>[2,7,5,4,6,3,1]=>[1,2,7,5,4,6,3]=>{{1},{2},{3,7},{4,5},{6}}=>11
[4,6,5,7,1,2,3]=>[7,1,2,4,6,5,3]=>[3,4,1,5,7,6,2]=>{{1,3},{2,4,5,7},{6}}=>6
[4,6,5,7,1,3,2]=>[7,3,1,4,6,5,2]=>[4,1,3,5,7,6,2]=>{{1,4,5,7},{2},{3},{6}}=>8
[4,6,5,7,2,1,3]=>[2,7,1,4,6,5,3]=>[4,2,1,5,7,6,3]=>{{1,4,5,7},{2},{3},{6}}=>8
[4,6,5,7,2,3,1]=>[3,7,2,4,6,5,1]=>[1,4,2,5,7,6,3]=>{{1},{2,4,5,7},{3},{6}}=>8
[4,6,5,7,3,1,2]=>[3,1,7,4,6,5,2]=>[3,1,2,5,7,6,4]=>{{1,3},{2},{4,5,7},{6}}=>9
[4,6,5,7,3,2,1]=>[2,3,7,4,6,5,1]=>[1,2,3,5,7,6,4]=>{{1},{2},{3},{4,5,7},{6}}=>11
[4,6,7,1,2,3,5]=>[7,1,2,4,3,6,5]=>[3,4,6,5,1,7,2]=>{{1,3,6,7},{2,4,5}}=>1
[4,6,7,1,2,5,3]=>[7,1,5,4,2,6,3]=>[3,6,1,5,4,7,2]=>{{1,3},{2,6,7},{4,5}}=>4
[4,6,7,1,3,2,5]=>[7,3,1,4,2,6,5]=>[4,6,3,5,1,7,2]=>{{1,4,5},{2,6,7},{3}}=>3
[4,6,7,1,3,5,2]=>[7,5,1,4,3,6,2]=>[4,1,6,5,3,7,2]=>{{1,4,5},{2},{3,6,7}}=>3
[4,6,7,1,5,2,3]=>[7,5,2,4,1,6,3]=>[6,4,1,5,3,7,2]=>{{1,6,7},{2,4,5},{3}}=>3
[4,6,7,1,5,3,2]=>[7,3,5,4,1,6,2]=>[6,1,3,5,4,7,2]=>{{1,6,7},{2},{3},{4,5}}=>6
[4,6,7,2,1,3,5]=>[2,7,1,4,3,6,5]=>[4,2,6,5,1,7,3]=>{{1,4,5},{2},{3,6,7}}=>3
[4,6,7,2,1,5,3]=>[2,7,5,4,1,6,3]=>[6,2,1,5,4,7,3]=>{{1,6,7},{2},{3},{4,5}}=>6
[4,6,7,2,3,1,5]=>[3,7,2,4,1,6,5]=>[6,4,2,5,1,7,3]=>{{1,6,7},{2,4,5},{3}}=>3
[4,6,7,2,3,5,1]=>[5,7,2,4,3,6,1]=>[1,4,6,5,2,7,3]=>{{1},{2,4,5},{3,6,7}}=>3
[4,6,7,2,5,1,3]=>[5,7,1,4,2,6,3]=>[4,6,1,5,2,7,3]=>{{1,4,5},{2,6,7},{3}}=>3
[4,6,7,2,5,3,1]=>[3,5,7,4,1,6,2]=>[6,1,2,5,3,7,4]=>{{1,6,7},{2},{3},{4,5}}=>6
[4,6,7,3,1,2,5]=>[3,1,7,4,2,6,5]=>[3,6,2,5,1,7,4]=>{{1,3},{2,6,7},{4,5}}=>4
[4,6,7,3,1,5,2]=>[3,7,5,4,2,6,1]=>[1,6,2,5,4,7,3]=>{{1},{2,6,7},{3},{4,5}}=>6
[4,6,7,3,2,1,5]=>[2,3,7,4,1,6,5]=>[6,2,3,5,1,7,4]=>{{1,6,7},{2},{3},{4,5}}=>6
[4,6,7,3,2,5,1]=>[5,3,7,4,2,6,1]=>[1,6,3,5,2,7,4]=>{{1},{2,6,7},{3},{4,5}}=>6
[4,6,7,3,5,1,2]=>[5,1,7,4,3,6,2]=>[3,1,6,5,2,7,4]=>{{1,3,6,7},{2},{4,5}}=>4
[4,6,7,3,5,2,1]=>[2,5,7,4,3,6,1]=>[1,2,6,5,3,7,4]=>{{1},{2},{3,6,7},{4,5}}=>6
[4,6,7,5,1,2,3]=>[5,1,2,4,7,6,3]=>[3,4,1,5,2,7,6]=>{{1,3},{2,4,5},{6,7}}=>6
[4,6,7,5,1,3,2]=>[5,3,1,4,7,6,2]=>[4,1,3,5,2,7,6]=>{{1,4,5},{2},{3},{6,7}}=>8
[4,6,7,5,2,1,3]=>[2,5,1,4,7,6,3]=>[4,2,1,5,3,7,6]=>{{1,4,5},{2},{3},{6,7}}=>8
[4,6,7,5,2,3,1]=>[3,5,2,4,7,6,1]=>[1,4,2,5,3,7,6]=>{{1},{2,4,5},{3},{6,7}}=>8
[4,6,7,5,3,1,2]=>[3,1,5,4,7,6,2]=>[3,1,2,5,4,7,6]=>{{1,3},{2},{4,5},{6,7}}=>9
[4,6,7,5,3,2,1]=>[2,3,5,4,7,6,1]=>[1,2,3,5,4,7,6]=>{{1},{2},{3},{4,5},{6,7}}=>11
[4,7,1,2,3,5,6]=>[7,1,2,4,3,5,6]=>[3,4,6,5,7,1,2]=>{{1,3,6},{2,4,5,7}}=>1
[4,7,1,2,3,6,5]=>[7,1,2,4,6,3,5]=>[3,4,7,5,1,6,2]=>{{1,3,7},{2,4,5},{6}}=>6
[4,7,1,2,5,3,6]=>[7,1,5,4,2,3,6]=>[3,6,7,5,4,1,2]=>{{1,3,7},{2,6},{4,5}}=>4
[4,7,1,2,5,6,3]=>[7,1,6,4,2,5,3]=>[3,6,1,5,7,4,2]=>{{1,3},{2,6},{4,5,7}}=>4
[4,7,1,2,6,3,5]=>[7,1,6,4,3,2,5]=>[3,7,6,5,1,4,2]=>{{1,3,6},{2,7},{4,5}}=>4
[4,7,1,2,6,5,3]=>[7,1,5,4,6,2,3]=>[3,7,1,5,4,6,2]=>{{1,3},{2,7},{4,5},{6}}=>9
[4,7,1,3,2,5,6]=>[7,3,1,4,2,5,6]=>[4,6,3,5,7,1,2]=>{{1,4,5,7},{2,6},{3}}=>3
[4,7,1,3,2,6,5]=>[7,3,1,4,6,2,5]=>[4,7,3,5,1,6,2]=>{{1,4,5},{2,7},{3},{6}}=>8
[4,7,1,3,5,2,6]=>[7,5,1,4,3,2,6]=>[4,7,6,5,3,1,2]=>{{1,4,5},{2,7},{3,6}}=>3
[4,7,1,3,5,6,2]=>[7,6,1,4,2,3,5]=>[4,6,7,5,1,3,2]=>{{1,4,5},{2,6},{3,7}}=>3
[4,7,1,3,6,2,5]=>[7,6,1,4,3,5,2]=>[4,1,6,5,7,3,2]=>{{1,4,5,7},{2},{3,6}}=>3
[4,7,1,3,6,5,2]=>[7,5,1,4,6,3,2]=>[4,1,7,5,3,6,2]=>{{1,4,5},{2},{3,7},{6}}=>8
[4,7,1,5,2,3,6]=>[7,5,2,4,1,3,6]=>[6,4,7,5,3,1,2]=>{{1,6},{2,4,5},{3,7}}=>3
[4,7,1,5,2,6,3]=>[7,5,6,4,1,2,3]=>[6,7,1,5,3,4,2]=>{{1,6},{2,7},{3},{4,5}}=>6
[4,7,1,5,3,2,6]=>[7,3,5,4,1,2,6]=>[6,7,3,5,4,1,2]=>{{1,6},{2,7},{3},{4,5}}=>6
[4,7,1,5,3,6,2]=>[7,6,5,4,1,3,2]=>[6,1,7,5,4,3,2]=>{{1,6},{2},{3,7},{4,5}}=>6
[4,7,1,5,6,2,3]=>[7,6,2,4,1,5,3]=>[6,4,1,5,7,3,2]=>{{1,6},{2,4,5,7},{3}}=>3
[4,7,1,5,6,3,2]=>[7,3,6,4,1,5,2]=>[6,1,3,5,7,4,2]=>{{1,6},{2},{3},{4,5,7}}=>6
[4,7,1,6,2,3,5]=>[7,6,2,4,3,1,5]=>[7,4,6,5,1,3,2]=>{{1,7},{2,4,5},{3,6}}=>3
[4,7,1,6,2,5,3]=>[7,6,5,4,2,1,3]=>[7,6,1,5,4,3,2]=>{{1,7},{2,6},{3},{4,5}}=>6
[4,7,1,6,3,2,5]=>[7,3,6,4,2,1,5]=>[7,6,3,5,1,4,2]=>{{1,7},{2,6},{3},{4,5}}=>6
[4,7,1,6,3,5,2]=>[7,5,6,4,3,1,2]=>[7,1,6,5,3,4,2]=>{{1,7},{2},{3,6},{4,5}}=>6
[4,7,1,6,5,2,3]=>[7,5,2,4,6,1,3]=>[7,4,1,5,3,6,2]=>{{1,7},{2,4,5},{3},{6}}=>8
[4,7,1,6,5,3,2]=>[7,3,5,4,6,1,2]=>[7,1,3,5,4,6,2]=>{{1,7},{2},{3},{4,5},{6}}=>11
[4,7,2,1,3,5,6]=>[2,7,1,4,3,5,6]=>[4,2,6,5,7,1,3]=>{{1,4,5,7},{2},{3,6}}=>3
[4,7,2,1,3,6,5]=>[2,7,1,4,6,3,5]=>[4,2,7,5,1,6,3]=>{{1,4,5},{2},{3,7},{6}}=>8
[4,7,2,1,5,3,6]=>[2,7,5,4,1,3,6]=>[6,2,7,5,4,1,3]=>{{1,6},{2},{3,7},{4,5}}=>6
[4,7,2,1,5,6,3]=>[2,7,6,4,1,5,3]=>[6,2,1,5,7,4,3]=>{{1,6},{2},{3},{4,5,7}}=>6
[4,7,2,1,6,3,5]=>[2,7,6,4,3,1,5]=>[7,2,6,5,1,4,3]=>{{1,7},{2},{3,6},{4,5}}=>6
[4,7,2,1,6,5,3]=>[2,7,5,4,6,1,3]=>[7,2,1,5,4,6,3]=>{{1,7},{2},{3},{4,5},{6}}=>11
[4,7,2,3,1,5,6]=>[3,7,2,4,1,5,6]=>[6,4,2,5,7,1,3]=>{{1,6},{2,4,5,7},{3}}=>3
[4,7,2,3,1,6,5]=>[3,7,2,4,6,1,5]=>[7,4,2,5,1,6,3]=>{{1,7},{2,4,5},{3},{6}}=>8
[4,7,2,3,5,1,6]=>[5,7,2,4,3,1,6]=>[7,4,6,5,2,1,3]=>{{1,7},{2,4,5},{3,6}}=>3
[4,7,2,3,5,6,1]=>[6,7,2,4,3,5,1]=>[1,4,6,5,7,2,3]=>{{1},{2,4,5,7},{3,6}}=>3
[4,7,2,3,6,1,5]=>[6,7,2,4,1,3,5]=>[6,4,7,5,1,2,3]=>{{1,6},{2,4,5},{3,7}}=>3
[4,7,2,3,6,5,1]=>[5,6,2,4,7,1,3]=>[7,4,1,5,2,3,6]=>{{1,7},{2,4,5},{3},{6}}=>8
[4,7,2,5,1,3,6]=>[5,7,1,4,2,3,6]=>[4,6,7,5,2,1,3]=>{{1,4,5},{2,6},{3,7}}=>3
[4,7,2,5,1,6,3]=>[5,7,6,4,2,1,3]=>[7,6,1,5,2,4,3]=>{{1,7},{2,6},{3},{4,5}}=>6
[4,7,2,5,3,1,6]=>[3,5,7,4,1,2,6]=>[6,7,2,5,3,1,4]=>{{1,6},{2,7},{3},{4,5}}=>6
[4,7,2,5,3,6,1]=>[6,7,5,4,2,3,1]=>[1,6,7,5,4,2,3]=>{{1},{2,6},{3,7},{4,5}}=>6
[4,7,2,5,6,1,3]=>[6,7,1,4,3,2,5]=>[4,7,6,5,1,2,3]=>{{1,4,5},{2,7},{3,6}}=>3
[4,7,2,5,6,3,1]=>[3,6,7,4,2,1,5]=>[7,6,2,5,1,3,4]=>{{1,7},{2,6},{3},{4,5}}=>6
[4,7,2,6,1,3,5]=>[6,7,1,4,2,5,3]=>[4,6,1,5,7,2,3]=>{{1,4,5,7},{2,6},{3}}=>3
[4,7,2,6,1,5,3]=>[6,7,5,4,1,2,3]=>[6,7,1,5,4,2,3]=>{{1,6},{2,7},{3},{4,5}}=>6
[4,7,2,6,3,1,5]=>[3,6,7,4,1,5,2]=>[6,1,2,5,7,3,4]=>{{1,6},{2},{3},{4,5,7}}=>6
[4,7,2,6,3,5,1]=>[5,7,6,4,3,2,1]=>[1,7,6,5,2,4,3]=>{{1},{2,7},{3,6},{4,5}}=>6
[4,7,2,6,5,1,3]=>[5,6,1,4,7,3,2]=>[4,1,7,5,2,3,6]=>{{1,4,5},{2},{3,7},{6}}=>8
[4,7,2,6,5,3,1]=>[3,5,6,4,7,2,1]=>[1,7,2,5,3,4,6]=>{{1},{2,7},{3},{4,5},{6}}=>11
[4,7,3,1,2,5,6]=>[3,1,7,4,2,5,6]=>[3,6,2,5,7,1,4]=>{{1,3},{2,6},{4,5,7}}=>4
[4,7,3,1,2,6,5]=>[3,1,7,4,6,2,5]=>[3,7,2,5,1,6,4]=>{{1,3},{2,7},{4,5},{6}}=>9
[4,7,3,1,5,2,6]=>[3,7,5,4,2,1,6]=>[7,6,2,5,4,1,3]=>{{1,7},{2,6},{3},{4,5}}=>6
[4,7,3,1,5,6,2]=>[3,7,6,4,1,2,5]=>[6,7,2,5,1,4,3]=>{{1,6},{2,7},{3},{4,5}}=>6
[4,7,3,1,6,2,5]=>[3,7,6,4,2,5,1]=>[1,6,2,5,7,4,3]=>{{1},{2,6},{3},{4,5,7}}=>6
[4,7,3,1,6,5,2]=>[3,7,5,4,6,2,1]=>[1,7,2,5,4,6,3]=>{{1},{2,7},{3},{4,5},{6}}=>11
[4,7,3,2,1,5,6]=>[2,3,7,4,1,5,6]=>[6,2,3,5,7,1,4]=>{{1,6},{2},{3},{4,5,7}}=>6
[4,7,3,2,1,6,5]=>[2,3,7,4,6,1,5]=>[7,2,3,5,1,6,4]=>{{1,7},{2},{3},{4,5},{6}}=>11
[4,7,3,2,5,1,6]=>[5,3,7,4,2,1,6]=>[7,6,3,5,2,1,4]=>{{1,7},{2,6},{3},{4,5}}=>6
[4,7,3,2,5,6,1]=>[6,3,7,4,2,5,1]=>[1,6,3,5,7,2,4]=>{{1},{2,6},{3},{4,5,7}}=>6
[4,7,3,2,6,1,5]=>[6,3,7,4,1,2,5]=>[6,7,3,5,1,2,4]=>{{1,6},{2,7},{3},{4,5}}=>6
[4,7,3,2,6,5,1]=>[5,3,6,4,7,1,2]=>[7,1,3,5,2,4,6]=>{{1,7},{2},{3},{4,5},{6}}=>11
[4,7,3,5,1,2,6]=>[5,1,7,4,3,2,6]=>[3,7,6,5,2,1,4]=>{{1,3,6},{2,7},{4,5}}=>4
[4,7,3,5,1,6,2]=>[5,6,7,4,3,1,2]=>[7,1,6,5,2,3,4]=>{{1,7},{2},{3,6},{4,5}}=>6
[4,7,3,5,2,1,6]=>[2,5,7,4,3,1,6]=>[7,2,6,5,3,1,4]=>{{1,7},{2},{3,6},{4,5}}=>6
[4,7,3,5,2,6,1]=>[6,5,7,4,3,2,1]=>[1,7,6,5,3,2,4]=>{{1},{2,7},{3,6},{4,5}}=>6
[4,7,3,5,6,1,2]=>[6,1,7,4,3,5,2]=>[3,1,6,5,7,2,4]=>{{1,3,6},{2},{4,5,7}}=>4
[4,7,3,5,6,2,1]=>[2,6,7,4,3,5,1]=>[1,2,6,5,7,3,4]=>{{1},{2},{3,6},{4,5,7}}=>6
[4,7,3,6,1,2,5]=>[6,1,7,4,2,3,5]=>[3,6,7,5,1,2,4]=>{{1,3,7},{2,6},{4,5}}=>4
[4,7,3,6,1,5,2]=>[6,5,7,4,1,3,2]=>[6,1,7,5,3,2,4]=>{{1,6},{2},{3,7},{4,5}}=>6
[4,7,3,6,2,1,5]=>[2,6,7,4,1,3,5]=>[6,2,7,5,1,3,4]=>{{1,6},{2},{3,7},{4,5}}=>6
[4,7,3,6,2,5,1]=>[5,6,7,4,2,3,1]=>[1,6,7,5,2,3,4]=>{{1},{2,6},{3,7},{4,5}}=>6
[4,7,3,6,5,1,2]=>[5,1,6,4,7,2,3]=>[3,7,1,5,2,4,6]=>{{1,3},{2,7},{4,5},{6}}=>9
[4,7,3,6,5,2,1]=>[2,5,6,4,7,1,3]=>[7,2,1,5,3,4,6]=>{{1,7},{2},{3},{4,5},{6}}=>11
[4,7,5,1,2,3,6]=>[5,1,2,4,7,3,6]=>[3,4,7,5,2,1,6]=>{{1,3,7},{2,4,5},{6}}=>6
[4,7,5,1,2,6,3]=>[5,1,7,4,6,3,2]=>[3,1,7,5,2,6,4]=>{{1,3,7},{2},{4,5},{6}}=>9
[4,7,5,1,3,2,6]=>[5,3,1,4,7,2,6]=>[4,7,3,5,2,1,6]=>{{1,4,5},{2,7},{3},{6}}=>8
[4,7,5,1,3,6,2]=>[5,7,1,4,6,2,3]=>[4,7,1,5,2,6,3]=>{{1,4,5},{2,7},{3},{6}}=>8
[4,7,5,1,6,2,3]=>[5,7,2,4,6,3,1]=>[1,4,7,5,2,6,3]=>{{1},{2,4,5},{3,7},{6}}=>8
[4,7,5,1,6,3,2]=>[5,3,7,4,6,2,1]=>[1,7,3,5,2,6,4]=>{{1},{2,7},{3},{4,5},{6}}=>11
[4,7,5,2,1,3,6]=>[2,5,1,4,7,3,6]=>[4,2,7,5,3,1,6]=>{{1,4,5},{2},{3,7},{6}}=>8
[4,7,5,2,1,6,3]=>[2,5,7,4,6,3,1]=>[1,2,7,5,3,6,4]=>{{1},{2},{3,7},{4,5},{6}}=>11
[4,7,5,2,3,1,6]=>[3,5,2,4,7,1,6]=>[7,4,2,5,3,1,6]=>{{1,7},{2,4,5},{3},{6}}=>8
[4,7,5,2,3,6,1]=>[6,5,2,4,7,3,1]=>[1,4,7,5,3,2,6]=>{{1},{2,4,5},{3,7},{6}}=>8
[4,7,5,2,6,1,3]=>[6,5,1,4,7,2,3]=>[4,7,1,5,3,2,6]=>{{1,4,5},{2,7},{3},{6}}=>8
[4,7,5,2,6,3,1]=>[3,6,5,4,7,1,2]=>[7,1,2,5,4,3,6]=>{{1,7},{2},{3},{4,5},{6}}=>11
[4,7,5,3,1,2,6]=>[3,1,5,4,7,2,6]=>[3,7,2,5,4,1,6]=>{{1,3},{2,7},{4,5},{6}}=>9
[4,7,5,3,1,6,2]=>[3,5,7,4,6,1,2]=>[7,1,2,5,3,6,4]=>{{1,7},{2},{3},{4,5},{6}}=>11
[4,7,5,3,2,1,6]=>[2,3,5,4,7,1,6]=>[7,2,3,5,4,1,6]=>{{1,7},{2},{3},{4,5},{6}}=>11
[4,7,5,3,2,6,1]=>[6,3,5,4,7,2,1]=>[1,7,3,5,4,2,6]=>{{1},{2,7},{3},{4,5},{6}}=>11
[4,7,5,3,6,1,2]=>[6,1,5,4,7,3,2]=>[3,1,7,5,4,2,6]=>{{1,3,7},{2},{4,5},{6}}=>9
[4,7,5,3,6,2,1]=>[2,6,5,4,7,3,1]=>[1,2,7,5,4,3,6]=>{{1},{2},{3,7},{4,5},{6}}=>11
[4,7,5,6,1,2,3]=>[6,1,2,4,7,5,3]=>[3,4,1,5,7,2,6]=>{{1,3},{2,4,5,7},{6}}=>6
[4,7,5,6,1,3,2]=>[6,3,1,4,7,5,2]=>[4,1,3,5,7,2,6]=>{{1,4,5,7},{2},{3},{6}}=>8
[4,7,5,6,2,1,3]=>[2,6,1,4,7,5,3]=>[4,2,1,5,7,3,6]=>{{1,4,5,7},{2},{3},{6}}=>8
[4,7,5,6,2,3,1]=>[3,6,2,4,7,5,1]=>[1,4,2,5,7,3,6]=>{{1},{2,4,5,7},{3},{6}}=>8
[4,7,5,6,3,1,2]=>[3,1,6,4,7,5,2]=>[3,1,2,5,7,4,6]=>{{1,3},{2},{4,5,7},{6}}=>9
[4,7,5,6,3,2,1]=>[2,3,6,4,7,5,1]=>[1,2,3,5,7,4,6]=>{{1},{2},{3},{4,5,7},{6}}=>11
[4,7,6,1,2,3,5]=>[6,1,2,4,3,7,5]=>[3,4,6,5,1,2,7]=>{{1,3,6},{2,4,5},{7}}=>7
[4,7,6,1,2,5,3]=>[6,1,5,4,2,7,3]=>[3,6,1,5,4,2,7]=>{{1,3},{2,6},{4,5},{7}}=>10
[4,7,6,1,3,2,5]=>[6,3,1,4,2,7,5]=>[4,6,3,5,1,2,7]=>{{1,4,5},{2,6},{3},{7}}=>9
[4,7,6,1,3,5,2]=>[6,5,1,4,3,7,2]=>[4,1,6,5,3,2,7]=>{{1,4,5},{2},{3,6},{7}}=>9
[4,7,6,1,5,2,3]=>[6,5,2,4,1,7,3]=>[6,4,1,5,3,2,7]=>{{1,6},{2,4,5},{3},{7}}=>9
[4,7,6,1,5,3,2]=>[6,3,5,4,1,7,2]=>[6,1,3,5,4,2,7]=>{{1,6},{2},{3},{4,5},{7}}=>12
[4,7,6,2,1,3,5]=>[2,6,1,4,3,7,5]=>[4,2,6,5,1,3,7]=>{{1,4,5},{2},{3,6},{7}}=>9
[4,7,6,2,1,5,3]=>[2,6,5,4,1,7,3]=>[6,2,1,5,4,3,7]=>{{1,6},{2},{3},{4,5},{7}}=>12
[4,7,6,2,3,1,5]=>[3,6,2,4,1,7,5]=>[6,4,2,5,1,3,7]=>{{1,6},{2,4,5},{3},{7}}=>9
[4,7,6,2,3,5,1]=>[5,6,2,4,3,7,1]=>[1,4,6,5,2,3,7]=>{{1},{2,4,5},{3,6},{7}}=>9
[4,7,6,2,5,1,3]=>[5,6,1,4,2,7,3]=>[4,6,1,5,2,3,7]=>{{1,4,5},{2,6},{3},{7}}=>9
[4,7,6,2,5,3,1]=>[3,5,6,4,1,7,2]=>[6,1,2,5,3,4,7]=>{{1,6},{2},{3},{4,5},{7}}=>12
[4,7,6,3,1,2,5]=>[3,1,6,4,2,7,5]=>[3,6,2,5,1,4,7]=>{{1,3},{2,6},{4,5},{7}}=>10
[4,7,6,3,1,5,2]=>[3,6,5,4,2,7,1]=>[1,6,2,5,4,3,7]=>{{1},{2,6},{3},{4,5},{7}}=>12
[4,7,6,3,2,1,5]=>[2,3,6,4,1,7,5]=>[6,2,3,5,1,4,7]=>{{1,6},{2},{3},{4,5},{7}}=>12
[4,7,6,3,2,5,1]=>[5,3,6,4,2,7,1]=>[1,6,3,5,2,4,7]=>{{1},{2,6},{3},{4,5},{7}}=>12
[4,7,6,3,5,1,2]=>[5,1,6,4,3,7,2]=>[3,1,6,5,2,4,7]=>{{1,3,6},{2},{4,5},{7}}=>10
[4,7,6,3,5,2,1]=>[2,5,6,4,3,7,1]=>[1,2,6,5,3,4,7]=>{{1},{2},{3,6},{4,5},{7}}=>12
[4,7,6,5,1,2,3]=>[5,1,2,4,6,7,3]=>[3,4,1,5,2,6,7]=>{{1,3},{2,4,5},{6},{7}}=>12
[4,7,6,5,1,3,2]=>[5,3,1,4,6,7,2]=>[4,1,3,5,2,6,7]=>{{1,4,5},{2},{3},{6},{7}}=>14
[4,7,6,5,2,1,3]=>[2,5,1,4,6,7,3]=>[4,2,1,5,3,6,7]=>{{1,4,5},{2},{3},{6},{7}}=>14
[4,7,6,5,2,3,1]=>[3,5,2,4,6,7,1]=>[1,4,2,5,3,6,7]=>{{1},{2,4,5},{3},{6},{7}}=>14
[4,7,6,5,3,1,2]=>[3,1,5,4,6,7,2]=>[3,1,2,5,4,6,7]=>{{1,3},{2},{4,5},{6},{7}}=>15
[4,7,6,5,3,2,1]=>[2,3,5,4,6,7,1]=>[1,2,3,5,4,6,7]=>{{1},{2},{3},{4,5},{6},{7}}=>17
[5,1,2,3,4,6,7]=>[5,1,2,3,4,6,7]=>[3,4,5,6,2,7,1]=>{{1,3,5},{2,4,6,7}}=>1
[5,1,2,3,4,7,6]=>[5,1,2,3,4,7,6]=>[3,4,5,6,2,1,7]=>{{1,3,5},{2,4,6},{7}}=>7
[5,1,2,3,6,4,7]=>[5,1,2,6,3,4,7]=>[3,4,6,7,2,5,1]=>{{1,3,6},{2,4,7},{5}}=>5
[5,1,2,3,6,7,4]=>[5,1,2,7,3,6,4]=>[3,4,6,1,2,7,5]=>{{1,3,6,7},{2,4},{5}}=>5
[5,1,2,3,7,4,6]=>[5,1,2,7,3,4,6]=>[3,4,6,7,2,1,5]=>{{1,3,6},{2,4,7},{5}}=>5
[5,1,2,3,7,6,4]=>[5,1,2,6,3,7,4]=>[3,4,6,1,2,5,7]=>{{1,3,6},{2,4},{5},{7}}=>11
[5,1,2,4,3,6,7]=>[5,1,4,2,3,6,7]=>[3,5,6,4,2,7,1]=>{{1,3,6,7},{2,5},{4}}=>4
[5,1,2,4,3,7,6]=>[5,1,4,2,3,7,6]=>[3,5,6,4,2,1,7]=>{{1,3,6},{2,5},{4},{7}}=>10
[5,1,2,4,6,3,7]=>[5,1,6,2,4,3,7]=>[3,5,7,6,2,4,1]=>{{1,3,7},{2,5},{4,6}}=>4
[5,1,2,4,6,7,3]=>[5,1,7,2,4,6,3]=>[3,5,1,6,2,7,4]=>{{1,3},{2,5},{4,6,7}}=>4
[5,1,2,4,7,3,6]=>[5,1,7,2,4,3,6]=>[3,5,7,6,2,1,4]=>{{1,3,7},{2,5},{4,6}}=>4
[5,1,2,4,7,6,3]=>[5,1,6,2,4,7,3]=>[3,5,1,6,2,4,7]=>{{1,3},{2,5},{4,6},{7}}=>10
[5,1,2,6,3,4,7]=>[5,1,6,3,2,4,7]=>[3,6,5,7,2,4,1]=>{{1,3,5},{2,6},{4,7}}=>4
[5,1,2,6,3,7,4]=>[5,1,6,7,2,3,4]=>[3,6,7,1,2,4,5]=>{{1,3,7},{2,6},{4},{5}}=>8
[5,1,2,6,4,3,7]=>[5,1,4,6,2,3,7]=>[3,6,7,4,2,5,1]=>{{1,3,7},{2,6},{4},{5}}=>8
[5,1,2,6,4,7,3]=>[5,1,7,6,2,4,3]=>[3,6,1,7,2,5,4]=>{{1,3},{2,6},{4,7},{5}}=>8
[5,1,2,6,7,3,4]=>[5,1,7,3,2,6,4]=>[3,6,5,1,2,7,4]=>{{1,3,5},{2,6,7},{4}}=>4
[5,1,2,6,7,4,3]=>[5,1,4,7,2,6,3]=>[3,6,1,4,2,7,5]=>{{1,3},{2,6,7},{4},{5}}=>8
[5,1,2,7,3,4,6]=>[5,1,7,3,2,4,6]=>[3,6,5,7,2,1,4]=>{{1,3,5},{2,6},{4,7}}=>4
[5,1,2,7,3,6,4]=>[5,1,7,6,2,3,4]=>[3,6,7,1,2,5,4]=>{{1,3,7},{2,6},{4},{5}}=>8
[5,1,2,7,4,3,6]=>[5,1,4,7,2,3,6]=>[3,6,7,4,2,1,5]=>{{1,3,7},{2,6},{4},{5}}=>8
[5,1,2,7,4,6,3]=>[5,1,6,7,2,4,3]=>[3,6,1,7,2,4,5]=>{{1,3},{2,6},{4,7},{5}}=>8
[5,1,2,7,6,3,4]=>[5,1,6,3,2,7,4]=>[3,6,5,1,2,4,7]=>{{1,3,5},{2,6},{4},{7}}=>10
[5,1,2,7,6,4,3]=>[5,1,4,6,2,7,3]=>[3,6,1,4,2,5,7]=>{{1,3},{2,6},{4},{5},{7}}=>14
[5,1,3,2,4,6,7]=>[5,3,1,2,4,6,7]=>[4,5,3,6,2,7,1]=>{{1,4,6,7},{2,5},{3}}=>3
[5,1,3,2,4,7,6]=>[5,3,1,2,4,7,6]=>[4,5,3,6,2,1,7]=>{{1,4,6},{2,5},{3},{7}}=>9
[5,1,3,2,6,4,7]=>[5,3,1,6,2,4,7]=>[4,6,3,7,2,5,1]=>{{1,4,7},{2,6},{3},{5}}=>7
[5,1,3,2,6,7,4]=>[5,3,1,7,2,6,4]=>[4,6,3,1,2,7,5]=>{{1,4},{2,6,7},{3},{5}}=>7
[5,1,3,2,7,4,6]=>[5,3,1,7,2,4,6]=>[4,6,3,7,2,1,5]=>{{1,4,7},{2,6},{3},{5}}=>7
[5,1,3,2,7,6,4]=>[5,3,1,6,2,7,4]=>[4,6,3,1,2,5,7]=>{{1,4},{2,6},{3},{5},{7}}=>13
[5,1,3,4,2,6,7]=>[5,4,1,3,2,6,7]=>[4,6,5,3,2,7,1]=>{{1,4},{2,6,7},{3,5}}=>3
[5,1,3,4,2,7,6]=>[5,4,1,3,2,7,6]=>[4,6,5,3,2,1,7]=>{{1,4},{2,6},{3,5},{7}}=>9
[5,1,3,4,6,2,7]=>[5,6,1,2,3,4,7]=>[4,5,6,7,2,3,1]=>{{1,4,7},{2,5},{3,6}}=>3
[5,1,3,4,6,7,2]=>[5,7,1,2,3,6,4]=>[4,5,6,1,2,7,3]=>{{1,4},{2,5},{3,6,7}}=>3
[5,1,3,4,7,2,6]=>[5,7,1,2,3,4,6]=>[4,5,6,7,2,1,3]=>{{1,4,7},{2,5},{3,6}}=>3
[5,1,3,4,7,6,2]=>[5,6,1,2,3,7,4]=>[4,5,6,1,2,3,7]=>{{1,4},{2,5},{3,6},{7}}=>9
[5,1,3,6,2,4,7]=>[5,6,1,3,4,2,7]=>[4,7,5,6,2,3,1]=>{{1,4,6},{2,7},{3,5}}=>3
[5,1,3,6,2,7,4]=>[5,6,1,7,3,2,4]=>[4,7,6,1,2,3,5]=>{{1,4},{2,7},{3,6},{5}}=>7
[5,1,3,6,4,2,7]=>[5,4,1,6,3,2,7]=>[4,7,6,3,2,5,1]=>{{1,4},{2,7},{3,6},{5}}=>7
[5,1,3,6,4,7,2]=>[5,7,1,6,3,4,2]=>[4,1,6,7,2,5,3]=>{{1,4,7},{2},{3,6},{5}}=>7
[5,1,3,6,7,2,4]=>[5,7,1,3,4,6,2]=>[4,1,5,6,2,7,3]=>{{1,4,6,7},{2},{3,5}}=>3
[5,1,3,6,7,4,2]=>[5,4,1,7,3,6,2]=>[4,1,6,3,2,7,5]=>{{1,4},{2},{3,6,7},{5}}=>7
[5,1,3,7,2,4,6]=>[5,7,1,3,4,2,6]=>[4,7,5,6,2,1,3]=>{{1,4,6},{2,7},{3,5}}=>3
[5,1,3,7,2,6,4]=>[5,7,1,6,3,2,4]=>[4,7,6,1,2,5,3]=>{{1,4},{2,7},{3,6},{5}}=>7
[5,1,3,7,4,2,6]=>[5,4,1,7,3,2,6]=>[4,7,6,3,2,1,5]=>{{1,4},{2,7},{3,6},{5}}=>7
[5,1,3,7,4,6,2]=>[5,6,1,7,3,4,2]=>[4,1,6,7,2,3,5]=>{{1,4,7},{2},{3,6},{5}}=>7
[5,1,3,7,6,2,4]=>[5,6,1,3,4,7,2]=>[4,1,5,6,2,3,7]=>{{1,4,6},{2},{3,5},{7}}=>9
[5,1,3,7,6,4,2]=>[5,4,1,6,3,7,2]=>[4,1,6,3,2,5,7]=>{{1,4},{2},{3,6},{5},{7}}=>13
[5,1,4,2,3,6,7]=>[5,4,2,1,3,6,7]=>[5,4,6,3,2,7,1]=>{{1,5},{2,4},{3,6,7}}=>3
[5,1,4,2,3,7,6]=>[5,4,2,1,3,7,6]=>[5,4,6,3,2,1,7]=>{{1,5},{2,4},{3,6},{7}}=>9
[5,1,4,2,6,3,7]=>[5,4,6,1,2,3,7]=>[5,6,7,3,2,4,1]=>{{1,5},{2,6},{3,7},{4}}=>6
[5,1,4,2,6,7,3]=>[5,4,7,1,2,6,3]=>[5,6,1,3,2,7,4]=>{{1,5},{2,6,7},{3},{4}}=>6
[5,1,4,2,7,3,6]=>[5,4,7,1,2,3,6]=>[5,6,7,3,2,1,4]=>{{1,5},{2,6},{3,7},{4}}=>6
[5,1,4,2,7,6,3]=>[5,4,6,1,2,7,3]=>[5,6,1,3,2,4,7]=>{{1,5},{2,6},{3},{4},{7}}=>12
[5,1,4,3,2,6,7]=>[5,3,4,1,2,6,7]=>[5,6,3,4,2,7,1]=>{{1,5},{2,6,7},{3},{4}}=>6
[5,1,4,3,2,7,6]=>[5,3,4,1,2,7,6]=>[5,6,3,4,2,1,7]=>{{1,5},{2,6},{3},{4},{7}}=>12
[5,1,4,3,6,2,7]=>[5,6,4,1,3,2,7]=>[5,7,6,4,2,3,1]=>{{1,5},{2,7},{3,6},{4}}=>6
[5,1,4,3,6,7,2]=>[5,7,4,1,3,6,2]=>[5,1,6,4,2,7,3]=>{{1,5},{2},{3,6,7},{4}}=>6
[5,1,4,3,7,2,6]=>[5,7,4,1,3,2,6]=>[5,7,6,4,2,1,3]=>{{1,5},{2,7},{3,6},{4}}=>6
[5,1,4,3,7,6,2]=>[5,6,4,1,3,7,2]=>[5,1,6,4,2,3,7]=>{{1,5},{2},{3,6},{4},{7}}=>12
[5,1,4,6,2,3,7]=>[5,6,2,1,4,3,7]=>[5,4,7,6,2,3,1]=>{{1,5},{2,4,6},{3,7}}=>3
[5,1,4,6,2,7,3]=>[5,6,7,1,4,2,3]=>[5,7,1,6,2,3,4]=>{{1,5},{2,7},{3},{4,6}}=>6
[5,1,4,6,3,2,7]=>[5,3,6,1,4,2,7]=>[5,7,3,6,2,4,1]=>{{1,5},{2,7},{3},{4,6}}=>6
[5,1,4,6,3,7,2]=>[5,7,6,1,4,3,2]=>[5,1,7,6,2,4,3]=>{{1,5},{2},{3,7},{4,6}}=>6
[5,1,4,6,7,2,3]=>[5,7,2,1,4,6,3]=>[5,4,1,6,2,7,3]=>{{1,5},{2,4,6,7},{3}}=>3
[5,1,4,6,7,3,2]=>[5,3,7,1,4,6,2]=>[5,1,3,6,2,7,4]=>{{1,5},{2},{3},{4,6,7}}=>6
[5,1,4,7,2,3,6]=>[5,7,2,1,4,3,6]=>[5,4,7,6,2,1,3]=>{{1,5},{2,4,6},{3,7}}=>3
[5,1,4,7,2,6,3]=>[5,7,6,1,4,2,3]=>[5,7,1,6,2,4,3]=>{{1,5},{2,7},{3},{4,6}}=>6
[5,1,4,7,3,2,6]=>[5,3,7,1,4,2,6]=>[5,7,3,6,2,1,4]=>{{1,5},{2,7},{3},{4,6}}=>6
[5,1,4,7,3,6,2]=>[5,6,7,1,4,3,2]=>[5,1,7,6,2,3,4]=>{{1,5},{2},{3,7},{4,6}}=>6
[5,1,4,7,6,2,3]=>[5,6,2,1,4,7,3]=>[5,4,1,6,2,3,7]=>{{1,5},{2,4,6},{3},{7}}=>9
[5,1,4,7,6,3,2]=>[5,3,6,1,4,7,2]=>[5,1,3,6,2,4,7]=>{{1,5},{2},{3},{4,6},{7}}=>12
[5,1,6,2,3,4,7]=>[5,6,2,3,1,4,7]=>[6,4,5,7,2,3,1]=>{{1,6},{2,4,7},{3,5}}=>3
[5,1,6,2,3,7,4]=>[5,6,2,7,1,3,4]=>[6,4,7,1,2,3,5]=>{{1,6},{2,4},{3,7},{5}}=>7
[5,1,6,2,4,3,7]=>[5,6,4,2,1,3,7]=>[6,5,7,4,2,3,1]=>{{1,6},{2,5},{3,7},{4}}=>6
[5,1,6,2,4,7,3]=>[5,6,7,2,1,4,3]=>[6,5,1,7,2,3,4]=>{{1,6},{2,5},{3},{4,7}}=>6
[5,1,6,2,7,3,4]=>[5,6,7,3,1,2,4]=>[6,7,5,1,2,3,4]=>{{1,6},{2,7},{3,5},{4}}=>6
[5,1,6,2,7,4,3]=>[5,6,4,7,1,2,3]=>[6,7,1,4,2,3,5]=>{{1,6},{2,7},{3},{4},{5}}=>10
[5,1,6,3,2,4,7]=>[5,3,6,2,1,4,7]=>[6,5,3,7,2,4,1]=>{{1,6},{2,5},{3},{4,7}}=>6
[5,1,6,3,2,7,4]=>[5,3,6,7,1,2,4]=>[6,7,3,1,2,4,5]=>{{1,6},{2,7},{3},{4},{5}}=>10
[5,1,6,3,4,2,7]=>[5,4,6,3,1,2,7]=>[6,7,5,3,2,4,1]=>{{1,6},{2,7},{3,5},{4}}=>6
[5,1,6,3,4,7,2]=>[5,7,6,3,1,4,2]=>[6,1,5,7,2,4,3]=>{{1,6},{2},{3,5},{4,7}}=>6
[5,1,6,3,7,2,4]=>[5,7,6,2,1,3,4]=>[6,5,7,1,2,4,3]=>{{1,6},{2,5},{3,7},{4}}=>6
[5,1,6,3,7,4,2]=>[5,4,7,6,1,2,3]=>[6,7,1,3,2,5,4]=>{{1,6},{2,7},{3},{4},{5}}=>10
[5,1,6,4,2,3,7]=>[5,4,2,6,1,3,7]=>[6,4,7,3,2,5,1]=>{{1,6},{2,4},{3,7},{5}}=>7
[5,1,6,4,2,7,3]=>[5,4,6,7,1,3,2]=>[6,1,7,3,2,4,5]=>{{1,6},{2},{3,7},{4},{5}}=>10
[5,1,6,4,3,2,7]=>[5,3,4,6,1,2,7]=>[6,7,3,4,2,5,1]=>{{1,6},{2,7},{3},{4},{5}}=>10
[5,1,6,4,3,7,2]=>[5,7,4,6,1,3,2]=>[6,1,7,4,2,5,3]=>{{1,6},{2},{3,7},{4},{5}}=>10
[5,1,6,4,7,2,3]=>[5,7,2,6,1,4,3]=>[6,4,1,7,2,5,3]=>{{1,6},{2,4,7},{3},{5}}=>7
[5,1,6,4,7,3,2]=>[5,3,7,6,1,4,2]=>[6,1,3,7,2,5,4]=>{{1,6},{2},{3},{4,7},{5}}=>10
[5,1,6,7,2,3,4]=>[5,7,2,3,1,6,4]=>[6,4,5,1,2,7,3]=>{{1,6,7},{2,4},{3,5}}=>3
[5,1,6,7,2,4,3]=>[5,7,4,2,1,6,3]=>[6,5,1,4,2,7,3]=>{{1,6,7},{2,5},{3},{4}}=>6
[5,1,6,7,3,2,4]=>[5,3,7,2,1,6,4]=>[6,5,3,1,2,7,4]=>{{1,6,7},{2,5},{3},{4}}=>6
[5,1,6,7,3,4,2]=>[5,4,7,3,1,6,2]=>[6,1,5,3,2,7,4]=>{{1,6,7},{2},{3,5},{4}}=>6
[5,1,6,7,4,2,3]=>[5,4,2,7,1,6,3]=>[6,4,1,3,2,7,5]=>{{1,6,7},{2,4},{3},{5}}=>7
[5,1,6,7,4,3,2]=>[5,3,4,7,1,6,2]=>[6,1,3,4,2,7,5]=>{{1,6,7},{2},{3},{4},{5}}=>10
[5,1,7,2,3,4,6]=>[5,7,2,3,1,4,6]=>[6,4,5,7,2,1,3]=>{{1,6},{2,4,7},{3,5}}=>3
[5,1,7,2,3,6,4]=>[5,7,2,6,1,3,4]=>[6,4,7,1,2,5,3]=>{{1,6},{2,4},{3,7},{5}}=>7
[5,1,7,2,4,3,6]=>[5,7,4,2,1,3,6]=>[6,5,7,4,2,1,3]=>{{1,6},{2,5},{3,7},{4}}=>6
[5,1,7,2,4,6,3]=>[5,7,6,2,1,4,3]=>[6,5,1,7,2,4,3]=>{{1,6},{2,5},{3},{4,7}}=>6
[5,1,7,2,6,3,4]=>[5,7,6,3,1,2,4]=>[6,7,5,1,2,4,3]=>{{1,6},{2,7},{3,5},{4}}=>6
[5,1,7,2,6,4,3]=>[5,7,4,6,1,2,3]=>[6,7,1,4,2,5,3]=>{{1,6},{2,7},{3},{4},{5}}=>10
[5,1,7,3,2,4,6]=>[5,3,7,2,1,4,6]=>[6,5,3,7,2,1,4]=>{{1,6},{2,5},{3},{4,7}}=>6
[5,1,7,3,2,6,4]=>[5,3,7,6,1,2,4]=>[6,7,3,1,2,5,4]=>{{1,6},{2,7},{3},{4},{5}}=>10
[5,1,7,3,4,2,6]=>[5,4,7,3,1,2,6]=>[6,7,5,3,2,1,4]=>{{1,6},{2,7},{3,5},{4}}=>6
[5,1,7,3,4,6,2]=>[5,6,7,3,1,4,2]=>[6,1,5,7,2,3,4]=>{{1,6},{2},{3,5},{4,7}}=>6
[5,1,7,3,6,2,4]=>[5,6,7,2,1,3,4]=>[6,5,7,1,2,3,4]=>{{1,6},{2,5},{3,7},{4}}=>6
[5,1,7,3,6,4,2]=>[5,4,6,7,1,2,3]=>[6,7,1,3,2,4,5]=>{{1,6},{2,7},{3},{4},{5}}=>10
[5,1,7,4,2,3,6]=>[5,4,2,7,1,3,6]=>[6,4,7,3,2,1,5]=>{{1,6},{2,4},{3,7},{5}}=>7
[5,1,7,4,2,6,3]=>[5,4,7,6,1,3,2]=>[6,1,7,3,2,5,4]=>{{1,6},{2},{3,7},{4},{5}}=>10
[5,1,7,4,3,2,6]=>[5,3,4,7,1,2,6]=>[6,7,3,4,2,1,5]=>{{1,6},{2,7},{3},{4},{5}}=>10
[5,1,7,4,3,6,2]=>[5,6,4,7,1,3,2]=>[6,1,7,4,2,3,5]=>{{1,6},{2},{3,7},{4},{5}}=>10
[5,1,7,4,6,2,3]=>[5,6,2,7,1,4,3]=>[6,4,1,7,2,3,5]=>{{1,6},{2,4,7},{3},{5}}=>7
[5,1,7,4,6,3,2]=>[5,3,6,7,1,4,2]=>[6,1,3,7,2,4,5]=>{{1,6},{2},{3},{4,7},{5}}=>10
[5,1,7,6,2,3,4]=>[5,6,2,3,1,7,4]=>[6,4,5,1,2,3,7]=>{{1,6},{2,4},{3,5},{7}}=>9
[5,1,7,6,2,4,3]=>[5,6,4,2,1,7,3]=>[6,5,1,4,2,3,7]=>{{1,6},{2,5},{3},{4},{7}}=>12
[5,1,7,6,3,2,4]=>[5,3,6,2,1,7,4]=>[6,5,3,1,2,4,7]=>{{1,6},{2,5},{3},{4},{7}}=>12
[5,1,7,6,3,4,2]=>[5,4,6,3,1,7,2]=>[6,1,5,3,2,4,7]=>{{1,6},{2},{3,5},{4},{7}}=>12
[5,1,7,6,4,2,3]=>[5,4,2,6,1,7,3]=>[6,4,1,3,2,5,7]=>{{1,6},{2,4},{3},{5},{7}}=>13
[5,1,7,6,4,3,2]=>[5,3,4,6,1,7,2]=>[6,1,3,4,2,5,7]=>{{1,6},{2},{3},{4},{5},{7}}=>16
[5,2,1,3,4,6,7]=>[2,5,1,3,4,6,7]=>[4,2,5,6,3,7,1]=>{{1,4,6,7},{2},{3,5}}=>3
[5,2,1,3,4,7,6]=>[2,5,1,3,4,7,6]=>[4,2,5,6,3,1,7]=>{{1,4,6},{2},{3,5},{7}}=>9
[5,2,1,3,6,4,7]=>[2,5,1,6,3,4,7]=>[4,2,6,7,3,5,1]=>{{1,4,7},{2},{3,6},{5}}=>7
[5,2,1,3,6,7,4]=>[2,5,1,7,3,6,4]=>[4,2,6,1,3,7,5]=>{{1,4},{2},{3,6,7},{5}}=>7
[5,2,1,3,7,4,6]=>[2,5,1,7,3,4,6]=>[4,2,6,7,3,1,5]=>{{1,4,7},{2},{3,6},{5}}=>7
[5,2,1,3,7,6,4]=>[2,5,1,6,3,7,4]=>[4,2,6,1,3,5,7]=>{{1,4},{2},{3,6},{5},{7}}=>13
[5,2,1,4,3,6,7]=>[2,5,4,1,3,6,7]=>[5,2,6,4,3,7,1]=>{{1,5},{2},{3,6,7},{4}}=>6
[5,2,1,4,3,7,6]=>[2,5,4,1,3,7,6]=>[5,2,6,4,3,1,7]=>{{1,5},{2},{3,6},{4},{7}}=>12
[5,2,1,4,6,3,7]=>[2,5,6,1,4,3,7]=>[5,2,7,6,3,4,1]=>{{1,5},{2},{3,7},{4,6}}=>6
[5,2,1,4,6,7,3]=>[2,5,7,1,4,6,3]=>[5,2,1,6,3,7,4]=>{{1,5},{2},{3},{4,6,7}}=>6
[5,2,1,4,7,3,6]=>[2,5,7,1,4,3,6]=>[5,2,7,6,3,1,4]=>{{1,5},{2},{3,7},{4,6}}=>6
[5,2,1,4,7,6,3]=>[2,5,6,1,4,7,3]=>[5,2,1,6,3,4,7]=>{{1,5},{2},{3},{4,6},{7}}=>12
[5,2,1,6,3,4,7]=>[2,5,6,3,1,4,7]=>[6,2,5,7,3,4,1]=>{{1,6},{2},{3,5},{4,7}}=>6
[5,2,1,6,3,7,4]=>[2,5,6,7,1,3,4]=>[6,2,7,1,3,4,5]=>{{1,6},{2},{3,7},{4},{5}}=>10
[5,2,1,6,4,3,7]=>[2,5,4,6,1,3,7]=>[6,2,7,4,3,5,1]=>{{1,6},{2},{3,7},{4},{5}}=>10
[5,2,1,6,4,7,3]=>[2,5,7,6,1,4,3]=>[6,2,1,7,3,5,4]=>{{1,6},{2},{3},{4,7},{5}}=>10
[5,2,1,6,7,3,4]=>[2,5,7,3,1,6,4]=>[6,2,5,1,3,7,4]=>{{1,6,7},{2},{3,5},{4}}=>6
[5,2,1,6,7,4,3]=>[2,5,4,7,1,6,3]=>[6,2,1,4,3,7,5]=>{{1,6,7},{2},{3},{4},{5}}=>10
[5,2,1,7,3,4,6]=>[2,5,7,3,1,4,6]=>[6,2,5,7,3,1,4]=>{{1,6},{2},{3,5},{4,7}}=>6
[5,2,1,7,3,6,4]=>[2,5,7,6,1,3,4]=>[6,2,7,1,3,5,4]=>{{1,6},{2},{3,7},{4},{5}}=>10
[5,2,1,7,4,3,6]=>[2,5,4,7,1,3,6]=>[6,2,7,4,3,1,5]=>{{1,6},{2},{3,7},{4},{5}}=>10
[5,2,1,7,4,6,3]=>[2,5,6,7,1,4,3]=>[6,2,1,7,3,4,5]=>{{1,6},{2},{3},{4,7},{5}}=>10
[5,2,1,7,6,3,4]=>[2,5,6,3,1,7,4]=>[6,2,5,1,3,4,7]=>{{1,6},{2},{3,5},{4},{7}}=>12
[5,2,1,7,6,4,3]=>[2,5,4,6,1,7,3]=>[6,2,1,4,3,5,7]=>{{1,6},{2},{3},{4},{5},{7}}=>16
[5,2,3,1,4,6,7]=>[3,5,2,1,4,6,7]=>[5,4,2,6,3,7,1]=>{{1,5},{2,4,6,7},{3}}=>3
[5,2,3,1,4,7,6]=>[3,5,2,1,4,7,6]=>[5,4,2,6,3,1,7]=>{{1,5},{2,4,6},{3},{7}}=>9
[5,2,3,1,6,4,7]=>[3,5,2,6,1,4,7]=>[6,4,2,7,3,5,1]=>{{1,6},{2,4,7},{3},{5}}=>7
[5,2,3,1,6,7,4]=>[3,5,2,7,1,6,4]=>[6,4,2,1,3,7,5]=>{{1,6,7},{2,4},{3},{5}}=>7
[5,2,3,1,7,4,6]=>[3,5,2,7,1,4,6]=>[6,4,2,7,3,1,5]=>{{1,6},{2,4,7},{3},{5}}=>7
[5,2,3,1,7,6,4]=>[3,5,2,6,1,7,4]=>[6,4,2,1,3,5,7]=>{{1,6},{2,4},{3},{5},{7}}=>13
[5,2,3,4,1,6,7]=>[4,5,2,3,1,6,7]=>[6,4,5,2,3,7,1]=>{{1,6,7},{2,4},{3,5}}=>3
[5,2,3,4,1,7,6]=>[4,5,2,3,1,7,6]=>[6,4,5,2,3,1,7]=>{{1,6},{2,4},{3,5},{7}}=>9
[5,2,3,4,6,1,7]=>[6,5,2,3,4,1,7]=>[7,4,5,6,3,2,1]=>{{1,7},{2,4,6},{3,5}}=>3
[5,2,3,4,6,7,1]=>[7,5,2,3,4,6,1]=>[1,4,5,6,3,7,2]=>{{1},{2,4,6,7},{3,5}}=>3
[5,2,3,4,7,1,6]=>[7,5,2,3,4,1,6]=>[7,4,5,6,3,1,2]=>{{1,7},{2,4,6},{3,5}}=>3
[5,2,3,4,7,6,1]=>[6,5,2,3,4,7,1]=>[1,4,5,6,3,2,7]=>{{1},{2,4,6},{3,5},{7}}=>9
[5,2,3,6,1,4,7]=>[6,5,2,1,3,4,7]=>[5,4,6,7,3,2,1]=>{{1,5},{2,4,7},{3,6}}=>3
[5,2,3,6,1,7,4]=>[6,5,2,7,3,1,4]=>[7,4,6,1,3,2,5]=>{{1,7},{2,4},{3,6},{5}}=>7
[5,2,3,6,4,1,7]=>[4,6,2,5,1,3,7]=>[6,4,7,2,5,3,1]=>{{1,6},{2,4},{3,7},{5}}=>7
[5,2,3,6,4,7,1]=>[7,5,2,6,3,4,1]=>[1,4,6,7,3,5,2]=>{{1},{2,4,7},{3,6},{5}}=>7
[5,2,3,6,7,1,4]=>[7,5,2,1,3,6,4]=>[5,4,6,1,3,7,2]=>{{1,5},{2,4},{3,6,7}}=>3
[5,2,3,6,7,4,1]=>[4,7,2,5,1,6,3]=>[6,4,1,2,5,7,3]=>{{1,6,7},{2,4},{3},{5}}=>7
[5,2,3,7,1,4,6]=>[7,5,2,1,3,4,6]=>[5,4,6,7,3,1,2]=>{{1,5},{2,4,7},{3,6}}=>3
[5,2,3,7,1,6,4]=>[7,5,2,6,3,1,4]=>[7,4,6,1,3,5,2]=>{{1,7},{2,4},{3,6},{5}}=>7
[5,2,3,7,4,1,6]=>[4,7,2,5,1,3,6]=>[6,4,7,2,5,1,3]=>{{1,6},{2,4},{3,7},{5}}=>7
[5,2,3,7,4,6,1]=>[6,5,2,7,3,4,1]=>[1,4,6,7,3,2,5]=>{{1},{2,4,7},{3,6},{5}}=>7
[5,2,3,7,6,1,4]=>[6,5,2,1,3,7,4]=>[5,4,6,1,3,2,7]=>{{1,5},{2,4},{3,6},{7}}=>9
[5,2,3,7,6,4,1]=>[4,6,2,5,1,7,3]=>[6,4,1,2,5,3,7]=>{{1,6},{2,4},{3},{5},{7}}=>13
[5,2,4,1,3,6,7]=>[4,5,1,2,3,6,7]=>[4,5,6,2,3,7,1]=>{{1,4},{2,5},{3,6,7}}=>3
[5,2,4,1,3,7,6]=>[4,5,1,2,3,7,6]=>[4,5,6,2,3,1,7]=>{{1,4},{2,5},{3,6},{7}}=>9
[5,2,4,1,6,3,7]=>[4,5,6,2,1,3,7]=>[6,5,7,2,3,4,1]=>{{1,6},{2,5},{3,7},{4}}=>6
[5,2,4,1,6,7,3]=>[4,5,7,2,1,6,3]=>[6,5,1,2,3,7,4]=>{{1,6,7},{2,5},{3},{4}}=>6
[5,2,4,1,7,3,6]=>[4,5,7,2,1,3,6]=>[6,5,7,2,3,1,4]=>{{1,6},{2,5},{3,7},{4}}=>6
[5,2,4,1,7,6,3]=>[4,5,6,2,1,7,3]=>[6,5,1,2,3,4,7]=>{{1,6},{2,5},{3},{4},{7}}=>12
[5,2,4,3,1,6,7]=>[3,4,5,1,2,6,7]=>[5,6,2,3,4,7,1]=>{{1,5},{2,6,7},{3},{4}}=>6
[5,2,4,3,1,7,6]=>[3,4,5,1,2,7,6]=>[5,6,2,3,4,1,7]=>{{1,5},{2,6},{3},{4},{7}}=>12
[5,2,4,3,6,1,7]=>[6,5,4,2,3,1,7]=>[7,5,6,4,3,2,1]=>{{1,7},{2,5},{3,6},{4}}=>6
[5,2,4,3,6,7,1]=>[7,5,4,2,3,6,1]=>[1,5,6,4,3,7,2]=>{{1},{2,5},{3,6,7},{4}}=>6
[5,2,4,3,7,1,6]=>[7,5,4,2,3,1,6]=>[7,5,6,4,3,1,2]=>{{1,7},{2,5},{3,6},{4}}=>6
[5,2,4,3,7,6,1]=>[6,5,4,2,3,7,1]=>[1,5,6,4,3,2,7]=>{{1},{2,5},{3,6},{4},{7}}=>12
[5,2,4,6,1,3,7]=>[6,5,1,3,2,4,7]=>[4,6,5,7,3,2,1]=>{{1,4,7},{2,6},{3,5}}=>3
[5,2,4,6,1,7,3]=>[6,5,7,2,4,1,3]=>[7,5,1,6,3,2,4]=>{{1,7},{2,5},{3},{4,6}}=>6
[5,2,4,6,3,1,7]=>[3,6,5,2,1,4,7]=>[6,5,2,7,4,3,1]=>{{1,6},{2,5},{3},{4,7}}=>6
[5,2,4,6,3,7,1]=>[7,5,6,2,4,3,1]=>[1,5,7,6,3,4,2]=>{{1},{2,5},{3,7},{4,6}}=>6
[5,2,4,6,7,1,3]=>[7,5,1,3,2,6,4]=>[4,6,5,1,3,7,2]=>{{1,4},{2,6,7},{3,5}}=>3
[5,2,4,6,7,3,1]=>[3,7,5,2,1,6,4]=>[6,5,2,1,4,7,3]=>{{1,6,7},{2,5},{3},{4}}=>6
[5,2,4,7,1,3,6]=>[7,5,1,3,2,4,6]=>[4,6,5,7,3,1,2]=>{{1,4,7},{2,6},{3,5}}=>3
[5,2,4,7,1,6,3]=>[7,5,6,2,4,1,3]=>[7,5,1,6,3,4,2]=>{{1,7},{2,5},{3},{4,6}}=>6
[5,2,4,7,3,1,6]=>[3,7,5,2,1,4,6]=>[6,5,2,7,4,1,3]=>{{1,6},{2,5},{3},{4,7}}=>6
[5,2,4,7,3,6,1]=>[6,5,7,2,4,3,1]=>[1,5,7,6,3,2,4]=>{{1},{2,5},{3,7},{4,6}}=>6
[5,2,4,7,6,1,3]=>[6,5,1,3,2,7,4]=>[4,6,5,1,3,2,7]=>{{1,4},{2,6},{3,5},{7}}=>9
[5,2,4,7,6,3,1]=>[3,6,5,2,1,7,4]=>[6,5,2,1,4,3,7]=>{{1,6},{2,5},{3},{4},{7}}=>12
[5,2,6,1,3,4,7]=>[6,5,1,2,4,3,7]=>[4,5,7,6,3,2,1]=>{{1,4,6},{2,5},{3,7}}=>3
[5,2,6,1,3,7,4]=>[6,5,1,7,2,3,4]=>[4,6,7,1,3,2,5]=>{{1,4},{2,6},{3,7},{5}}=>7
[5,2,6,1,4,3,7]=>[6,5,4,1,2,3,7]=>[5,6,7,4,3,2,1]=>{{1,5},{2,6},{3,7},{4}}=>6
[5,2,6,1,4,7,3]=>[6,5,7,1,2,4,3]=>[5,6,1,7,3,2,4]=>{{1,5},{2,6},{3},{4,7}}=>6
[5,2,6,1,7,3,4]=>[6,5,7,3,2,1,4]=>[7,6,5,1,3,2,4]=>{{1,7},{2,6},{3,5},{4}}=>6
[5,2,6,1,7,4,3]=>[6,5,4,7,2,1,3]=>[7,6,1,4,3,2,5]=>{{1,7},{2,6},{3},{4},{5}}=>10
[5,2,6,3,1,4,7]=>[3,6,5,1,4,2,7]=>[5,7,2,6,4,3,1]=>{{1,5},{2,7},{3},{4,6}}=>6
[5,2,6,3,1,7,4]=>[3,6,5,7,1,2,4]=>[6,7,2,1,4,3,5]=>{{1,6},{2,7},{3},{4},{5}}=>10
[5,2,6,3,4,1,7]=>[4,5,6,3,2,1,7]=>[7,6,5,2,3,4,1]=>{{1,7},{2,6},{3,5},{4}}=>6
[5,2,6,3,4,7,1]=>[7,5,6,3,2,4,1]=>[1,6,5,7,3,4,2]=>{{1},{2,6},{3,5},{4,7}}=>6
[5,2,6,3,7,1,4]=>[7,5,6,1,2,3,4]=>[5,6,7,1,3,4,2]=>{{1,5},{2,6},{3,7},{4}}=>6
[5,2,6,3,7,4,1]=>[4,7,5,6,3,1,2]=>[7,1,6,2,4,5,3]=>{{1,7},{2},{3,6},{4},{5}}=>10
[5,2,6,4,1,3,7]=>[4,6,1,5,3,2,7]=>[4,7,6,2,5,3,1]=>{{1,4},{2,7},{3,6},{5}}=>7
[5,2,6,4,1,7,3]=>[4,6,5,7,3,2,1]=>[1,7,6,2,4,3,5]=>{{1},{2,7},{3,6},{4},{5}}=>10
[5,2,6,4,3,1,7]=>[3,4,6,5,2,1,7]=>[7,6,2,3,5,4,1]=>{{1,7},{2,6},{3},{4},{5}}=>10
[5,2,6,4,3,7,1]=>[7,5,4,6,2,3,1]=>[1,6,7,4,3,5,2]=>{{1},{2,6},{3,7},{4},{5}}=>10
[5,2,6,4,7,1,3]=>[7,5,1,6,2,4,3]=>[4,6,1,7,3,5,2]=>{{1,4,7},{2,6},{3},{5}}=>7
[5,2,6,4,7,3,1]=>[3,7,5,6,1,4,2]=>[6,1,2,7,4,5,3]=>{{1,6},{2},{3},{4,7},{5}}=>10
[5,2,6,7,1,3,4]=>[7,5,1,2,4,6,3]=>[4,5,1,6,3,7,2]=>{{1,4,6,7},{2,5},{3}}=>3
[5,2,6,7,1,4,3]=>[7,5,4,1,2,6,3]=>[5,6,1,4,3,7,2]=>{{1,5},{2,6,7},{3},{4}}=>6
[5,2,6,7,3,1,4]=>[3,7,5,1,4,6,2]=>[5,1,2,6,4,7,3]=>{{1,5},{2},{3},{4,6,7}}=>6
[5,2,6,7,3,4,1]=>[4,5,7,3,2,6,1]=>[1,6,5,2,3,7,4]=>{{1},{2,6,7},{3,5},{4}}=>6
[5,2,6,7,4,1,3]=>[4,7,1,5,3,6,2]=>[4,1,6,2,5,7,3]=>{{1,4},{2},{3,6,7},{5}}=>7
[5,2,6,7,4,3,1]=>[3,4,7,5,2,6,1]=>[1,6,2,3,5,7,4]=>{{1},{2,6,7},{3},{4},{5}}=>10
[5,2,7,1,3,4,6]=>[7,5,1,2,4,3,6]=>[4,5,7,6,3,1,2]=>{{1,4,6},{2,5},{3,7}}=>3
[5,2,7,1,3,6,4]=>[7,5,1,6,2,3,4]=>[4,6,7,1,3,5,2]=>{{1,4},{2,6},{3,7},{5}}=>7
[5,2,7,1,4,3,6]=>[7,5,4,1,2,3,6]=>[5,6,7,4,3,1,2]=>{{1,5},{2,6},{3,7},{4}}=>6
[5,2,7,1,4,6,3]=>[7,5,6,1,2,4,3]=>[5,6,1,7,3,4,2]=>{{1,5},{2,6},{3},{4,7}}=>6
[5,2,7,1,6,3,4]=>[7,5,6,3,2,1,4]=>[7,6,5,1,3,4,2]=>{{1,7},{2,6},{3,5},{4}}=>6
[5,2,7,1,6,4,3]=>[7,5,4,6,2,1,3]=>[7,6,1,4,3,5,2]=>{{1,7},{2,6},{3},{4},{5}}=>10
[5,2,7,3,1,4,6]=>[3,7,5,1,4,2,6]=>[5,7,2,6,4,1,3]=>{{1,5},{2,7},{3},{4,6}}=>6
[5,2,7,3,1,6,4]=>[3,7,5,6,1,2,4]=>[6,7,2,1,4,5,3]=>{{1,6},{2,7},{3},{4},{5}}=>10
[5,2,7,3,4,1,6]=>[4,5,7,3,2,1,6]=>[7,6,5,2,3,1,4]=>{{1,7},{2,6},{3,5},{4}}=>6
[5,2,7,3,4,6,1]=>[6,5,7,3,2,4,1]=>[1,6,5,7,3,2,4]=>{{1},{2,6},{3,5},{4,7}}=>6
[5,2,7,3,6,1,4]=>[6,5,7,1,2,3,4]=>[5,6,7,1,3,2,4]=>{{1,5},{2,6},{3,7},{4}}=>6
[5,2,7,3,6,4,1]=>[4,6,5,7,3,1,2]=>[7,1,6,2,4,3,5]=>{{1,7},{2},{3,6},{4},{5}}=>10
[5,2,7,4,1,3,6]=>[4,7,1,5,3,2,6]=>[4,7,6,2,5,1,3]=>{{1,4},{2,7},{3,6},{5}}=>7
[5,2,7,4,1,6,3]=>[4,7,5,6,3,2,1]=>[1,7,6,2,4,5,3]=>{{1},{2,7},{3,6},{4},{5}}=>10
[5,2,7,4,3,1,6]=>[3,4,7,5,2,1,6]=>[7,6,2,3,5,1,4]=>{{1,7},{2,6},{3},{4},{5}}=>10
[5,2,7,4,3,6,1]=>[6,5,4,7,2,3,1]=>[1,6,7,4,3,2,5]=>{{1},{2,6},{3,7},{4},{5}}=>10
[5,2,7,4,6,1,3]=>[6,5,1,7,2,4,3]=>[4,6,1,7,3,2,5]=>{{1,4,7},{2,6},{3},{5}}=>7
[5,2,7,4,6,3,1]=>[3,6,5,7,1,4,2]=>[6,1,2,7,4,3,5]=>{{1,6},{2},{3},{4,7},{5}}=>10
[5,2,7,6,1,3,4]=>[6,5,1,2,4,7,3]=>[4,5,1,6,3,2,7]=>{{1,4,6},{2,5},{3},{7}}=>9
[5,2,7,6,1,4,3]=>[6,5,4,1,2,7,3]=>[5,6,1,4,3,2,7]=>{{1,5},{2,6},{3},{4},{7}}=>12
[5,2,7,6,3,1,4]=>[3,6,5,1,4,7,2]=>[5,1,2,6,4,3,7]=>{{1,5},{2},{3},{4,6},{7}}=>12
[5,2,7,6,3,4,1]=>[4,5,6,3,2,7,1]=>[1,6,5,2,3,4,7]=>{{1},{2,6},{3,5},{4},{7}}=>12
[5,2,7,6,4,1,3]=>[4,6,1,5,3,7,2]=>[4,1,6,2,5,3,7]=>{{1,4},{2},{3,6},{5},{7}}=>13
[5,2,7,6,4,3,1]=>[3,4,6,5,2,7,1]=>[1,6,2,3,5,4,7]=>{{1},{2,6},{3},{4},{5},{7}}=>16
[5,3,1,2,4,6,7]=>[3,1,5,2,4,6,7]=>[3,5,2,6,4,7,1]=>{{1,3},{2,5},{4,6,7}}=>4
[5,3,1,2,4,7,6]=>[3,1,5,2,4,7,6]=>[3,5,2,6,4,1,7]=>{{1,3},{2,5},{4,6},{7}}=>10
[5,3,1,2,6,4,7]=>[3,1,5,6,2,4,7]=>[3,6,2,7,4,5,1]=>{{1,3},{2,6},{4,7},{5}}=>8
[5,3,1,2,6,7,4]=>[3,1,5,7,2,6,4]=>[3,6,2,1,4,7,5]=>{{1,3},{2,6,7},{4},{5}}=>8
[5,3,1,2,7,4,6]=>[3,1,5,7,2,4,6]=>[3,6,2,7,4,1,5]=>{{1,3},{2,6},{4,7},{5}}=>8
[5,3,1,2,7,6,4]=>[3,1,5,6,2,7,4]=>[3,6,2,1,4,5,7]=>{{1,3},{2,6},{4},{5},{7}}=>14
[5,3,1,4,2,6,7]=>[3,5,4,2,1,6,7]=>[6,5,2,4,3,7,1]=>{{1,6,7},{2,5},{3},{4}}=>6
[5,3,1,4,2,7,6]=>[3,5,4,2,1,7,6]=>[6,5,2,4,3,1,7]=>{{1,6},{2,5},{3},{4},{7}}=>12
[5,3,1,4,6,2,7]=>[3,5,6,1,2,4,7]=>[5,6,2,7,3,4,1]=>{{1,5},{2,6},{3},{4,7}}=>6
[5,3,1,4,6,7,2]=>[3,5,7,1,2,6,4]=>[5,6,2,1,3,7,4]=>{{1,5},{2,6,7},{3},{4}}=>6
[5,3,1,4,7,2,6]=>[3,5,7,1,2,4,6]=>[5,6,2,7,3,1,4]=>{{1,5},{2,6},{3},{4,7}}=>6
[5,3,1,4,7,6,2]=>[3,5,6,1,2,7,4]=>[5,6,2,1,3,4,7]=>{{1,5},{2,6},{3},{4},{7}}=>12
[5,3,1,6,2,4,7]=>[3,5,6,2,4,1,7]=>[7,5,2,6,3,4,1]=>{{1,7},{2,5},{3},{4,6}}=>6
[5,3,1,6,2,7,4]=>[3,5,6,7,2,1,4]=>[7,6,2,1,3,4,5]=>{{1,7},{2,6},{3},{4},{5}}=>10
[5,3,1,6,4,2,7]=>[3,5,4,6,2,1,7]=>[7,6,2,4,3,5,1]=>{{1,7},{2,6},{3},{4},{5}}=>10
[5,3,1,6,4,7,2]=>[3,5,7,6,2,4,1]=>[1,6,2,7,3,5,4]=>{{1},{2,6},{3},{4,7},{5}}=>10
[5,3,1,6,7,2,4]=>[3,5,7,2,4,6,1]=>[1,5,2,6,3,7,4]=>{{1},{2,5},{3},{4,6,7}}=>6
[5,3,1,6,7,4,2]=>[3,5,4,7,2,6,1]=>[1,6,2,4,3,7,5]=>{{1},{2,6,7},{3},{4},{5}}=>10
[5,3,1,7,2,4,6]=>[3,5,7,2,4,1,6]=>[7,5,2,6,3,1,4]=>{{1,7},{2,5},{3},{4,6}}=>6
[5,3,1,7,2,6,4]=>[3,5,7,6,2,1,4]=>[7,6,2,1,3,5,4]=>{{1,7},{2,6},{3},{4},{5}}=>10
[5,3,1,7,4,2,6]=>[3,5,4,7,2,1,6]=>[7,6,2,4,3,1,5]=>{{1,7},{2,6},{3},{4},{5}}=>10
[5,3,1,7,4,6,2]=>[3,5,6,7,2,4,1]=>[1,6,2,7,3,4,5]=>{{1},{2,6},{3},{4,7},{5}}=>10
[5,3,1,7,6,2,4]=>[3,5,6,2,4,7,1]=>[1,5,2,6,3,4,7]=>{{1},{2,5},{3},{4,6},{7}}=>12
[5,3,1,7,6,4,2]=>[3,5,4,6,2,7,1]=>[1,6,2,4,3,5,7]=>{{1},{2,6},{3},{4},{5},{7}}=>16
[5,3,2,1,4,6,7]=>[2,3,5,1,4,6,7]=>[5,2,3,6,4,7,1]=>{{1,5},{2},{3},{4,6,7}}=>6
[5,3,2,1,4,7,6]=>[2,3,5,1,4,7,6]=>[5,2,3,6,4,1,7]=>{{1,5},{2},{3},{4,6},{7}}=>12
[5,3,2,1,6,4,7]=>[2,3,5,6,1,4,7]=>[6,2,3,7,4,5,1]=>{{1,6},{2},{3},{4,7},{5}}=>10
[5,3,2,1,6,7,4]=>[2,3,5,7,1,6,4]=>[6,2,3,1,4,7,5]=>{{1,6,7},{2},{3},{4},{5}}=>10
[5,3,2,1,7,4,6]=>[2,3,5,7,1,4,6]=>[6,2,3,7,4,1,5]=>{{1,6},{2},{3},{4,7},{5}}=>10
[5,3,2,1,7,6,4]=>[2,3,5,6,1,7,4]=>[6,2,3,1,4,5,7]=>{{1,6},{2},{3},{4},{5},{7}}=>16
[5,3,2,4,1,6,7]=>[4,3,5,2,1,6,7]=>[6,5,3,2,4,7,1]=>{{1,6,7},{2,5},{3},{4}}=>6
[5,3,2,4,1,7,6]=>[4,3,5,2,1,7,6]=>[6,5,3,2,4,1,7]=>{{1,6},{2,5},{3},{4},{7}}=>12
[5,3,2,4,6,1,7]=>[6,3,5,2,4,1,7]=>[7,5,3,6,4,2,1]=>{{1,7},{2,5},{3},{4,6}}=>6
[5,3,2,4,6,7,1]=>[7,3,5,2,4,6,1]=>[1,5,3,6,4,7,2]=>{{1},{2,5},{3},{4,6,7}}=>6
[5,3,2,4,7,1,6]=>[7,3,5,2,4,1,6]=>[7,5,3,6,4,1,2]=>{{1,7},{2,5},{3},{4,6}}=>6
[5,3,2,4,7,6,1]=>[6,3,5,2,4,7,1]=>[1,5,3,6,4,2,7]=>{{1},{2,5},{3},{4,6},{7}}=>12
[5,3,2,6,1,4,7]=>[6,3,5,1,2,4,7]=>[5,6,3,7,4,2,1]=>{{1,5},{2,6},{3},{4,7}}=>6
[5,3,2,6,1,7,4]=>[6,3,5,7,2,1,4]=>[7,6,3,1,4,2,5]=>{{1,7},{2,6},{3},{4},{5}}=>10
[5,3,2,6,4,1,7]=>[4,3,6,5,1,2,7]=>[6,7,3,2,5,4,1]=>{{1,6},{2,7},{3},{4},{5}}=>10
[5,3,2,6,4,7,1]=>[7,3,5,6,2,4,1]=>[1,6,3,7,4,5,2]=>{{1},{2,6},{3},{4,7},{5}}=>10
[5,3,2,6,7,1,4]=>[7,3,5,1,2,6,4]=>[5,6,3,1,4,7,2]=>{{1,5},{2,6,7},{3},{4}}=>6
[5,3,2,6,7,4,1]=>[4,3,7,5,1,6,2]=>[6,1,3,2,5,7,4]=>{{1,6,7},{2},{3},{4},{5}}=>10
[5,3,2,7,1,4,6]=>[7,3,5,1,2,4,6]=>[5,6,3,7,4,1,2]=>{{1,5},{2,6},{3},{4,7}}=>6
[5,3,2,7,1,6,4]=>[7,3,5,6,2,1,4]=>[7,6,3,1,4,5,2]=>{{1,7},{2,6},{3},{4},{5}}=>10
[5,3,2,7,4,1,6]=>[4,3,7,5,1,2,6]=>[6,7,3,2,5,1,4]=>{{1,6},{2,7},{3},{4},{5}}=>10
[5,3,2,7,4,6,1]=>[6,3,5,7,2,4,1]=>[1,6,3,7,4,2,5]=>{{1},{2,6},{3},{4,7},{5}}=>10
[5,3,2,7,6,1,4]=>[6,3,5,1,2,7,4]=>[5,6,3,1,4,2,7]=>{{1,5},{2,6},{3},{4},{7}}=>12
[5,3,2,7,6,4,1]=>[4,3,6,5,1,7,2]=>[6,1,3,2,5,4,7]=>{{1,6},{2},{3},{4},{5},{7}}=>16
[5,3,4,1,2,6,7]=>[4,1,5,3,2,6,7]=>[3,6,5,2,4,7,1]=>{{1,3,5},{2,6,7},{4}}=>4
[5,3,4,1,2,7,6]=>[4,1,5,3,2,7,6]=>[3,6,5,2,4,1,7]=>{{1,3,5},{2,6},{4},{7}}=>10
[5,3,4,1,6,2,7]=>[4,6,5,3,1,2,7]=>[6,7,5,2,4,3,1]=>{{1,6},{2,7},{3,5},{4}}=>6
[5,3,4,1,6,7,2]=>[4,7,5,3,1,6,2]=>[6,1,5,2,4,7,3]=>{{1,6,7},{2},{3,5},{4}}=>6
[5,3,4,1,7,2,6]=>[4,7,5,3,1,2,6]=>[6,7,5,2,4,1,3]=>{{1,6},{2,7},{3,5},{4}}=>6
[5,3,4,1,7,6,2]=>[4,6,5,3,1,7,2]=>[6,1,5,2,4,3,7]=>{{1,6},{2},{3,5},{4},{7}}=>12
[5,3,4,2,1,6,7]=>[2,4,5,3,1,6,7]=>[6,2,5,3,4,7,1]=>{{1,6,7},{2},{3,5},{4}}=>6
[5,3,4,2,1,7,6]=>[2,4,5,3,1,7,6]=>[6,2,5,3,4,1,7]=>{{1,6},{2},{3,5},{4},{7}}=>12
[5,3,4,2,6,1,7]=>[6,4,5,3,2,1,7]=>[7,6,5,3,4,2,1]=>{{1,7},{2,6},{3,5},{4}}=>6
[5,3,4,2,6,7,1]=>[7,4,5,3,2,6,1]=>[1,6,5,3,4,7,2]=>{{1},{2,6,7},{3,5},{4}}=>6
[5,3,4,2,7,1,6]=>[7,4,5,3,2,1,6]=>[7,6,5,3,4,1,2]=>{{1,7},{2,6},{3,5},{4}}=>6
[5,3,4,2,7,6,1]=>[6,4,5,3,2,7,1]=>[1,6,5,3,4,2,7]=>{{1},{2,6},{3,5},{4},{7}}=>12
[5,3,4,6,1,2,7]=>[6,1,5,3,4,2,7]=>[3,7,5,6,4,2,1]=>{{1,3,5},{2,7},{4,6}}=>4
[5,3,4,6,1,7,2]=>[6,7,5,3,4,1,2]=>[7,1,5,6,4,2,3]=>{{1,7},{2},{3,5},{4,6}}=>6
[5,3,4,6,2,1,7]=>[2,6,5,3,4,1,7]=>[7,2,5,6,4,3,1]=>{{1,7},{2},{3,5},{4,6}}=>6
[5,3,4,6,2,7,1]=>[7,6,5,3,4,2,1]=>[1,7,5,6,4,3,2]=>{{1},{2,7},{3,5},{4,6}}=>6
[5,3,4,6,7,1,2]=>[7,1,5,3,4,6,2]=>[3,1,5,6,4,7,2]=>{{1,3,5},{2},{4,6,7}}=>4
[5,3,4,6,7,2,1]=>[2,7,5,3,4,6,1]=>[1,2,5,6,4,7,3]=>{{1},{2},{3,5},{4,6,7}}=>6
[5,3,4,7,1,2,6]=>[7,1,5,3,4,2,6]=>[3,7,5,6,4,1,2]=>{{1,3,5},{2,7},{4,6}}=>4
[5,3,4,7,1,6,2]=>[7,6,5,3,4,1,2]=>[7,1,5,6,4,3,2]=>{{1,7},{2},{3,5},{4,6}}=>6
[5,3,4,7,2,1,6]=>[2,7,5,3,4,1,6]=>[7,2,5,6,4,1,3]=>{{1,7},{2},{3,5},{4,6}}=>6
[5,3,4,7,2,6,1]=>[6,7,5,3,4,2,1]=>[1,7,5,6,4,2,3]=>{{1},{2,7},{3,5},{4,6}}=>6
[5,3,4,7,6,1,2]=>[6,1,5,3,4,7,2]=>[3,1,5,6,4,2,7]=>{{1,3,5},{2},{4,6},{7}}=>10
[5,3,4,7,6,2,1]=>[2,6,5,3,4,7,1]=>[1,2,5,6,4,3,7]=>{{1},{2},{3,5},{4,6},{7}}=>12
[5,3,6,1,2,4,7]=>[6,1,5,2,3,4,7]=>[3,5,6,7,4,2,1]=>{{1,3,6},{2,5},{4,7}}=>4
[5,3,6,1,2,7,4]=>[6,1,5,7,3,2,4]=>[3,7,6,1,4,2,5]=>{{1,3,6},{2,7},{4},{5}}=>8
[5,3,6,1,4,2,7]=>[6,4,5,1,3,2,7]=>[5,7,6,3,4,2,1]=>{{1,5},{2,7},{3,6},{4}}=>6
[5,3,6,1,4,7,2]=>[6,7,5,1,3,4,2]=>[5,1,6,7,4,2,3]=>{{1,5},{2},{3,6},{4,7}}=>6
[5,3,6,1,7,2,4]=>[6,7,5,2,3,1,4]=>[7,5,6,1,4,2,3]=>{{1,7},{2,5},{3,6},{4}}=>6
[5,3,6,1,7,4,2]=>[6,4,7,5,2,1,3]=>[7,6,1,3,5,2,4]=>{{1,7},{2,6},{3},{4},{5}}=>10
[5,3,6,2,1,4,7]=>[2,6,5,1,3,4,7]=>[5,2,6,7,4,3,1]=>{{1,5},{2},{3,6},{4,7}}=>6
[5,3,6,2,1,7,4]=>[2,6,5,7,3,1,4]=>[7,2,6,1,4,3,5]=>{{1,7},{2},{3,6},{4},{5}}=>10
[5,3,6,2,4,1,7]=>[4,6,5,2,3,1,7]=>[7,5,6,2,4,3,1]=>{{1,7},{2,5},{3,6},{4}}=>6
[5,3,6,2,4,7,1]=>[7,6,5,2,3,4,1]=>[1,5,6,7,4,3,2]=>{{1},{2,5},{3,6},{4,7}}=>6
[5,3,6,2,7,1,4]=>[7,6,5,1,3,2,4]=>[5,7,6,1,4,3,2]=>{{1,5},{2,7},{3,6},{4}}=>6
[5,3,6,2,7,4,1]=>[4,7,6,5,1,3,2]=>[6,1,7,2,5,4,3]=>{{1,6},{2},{3,7},{4},{5}}=>10
[5,3,6,4,1,2,7]=>[4,1,6,5,2,3,7]=>[3,6,7,2,5,4,1]=>{{1,3,7},{2,6},{4},{5}}=>8
[5,3,6,4,1,7,2]=>[4,6,7,5,1,2,3]=>[6,7,1,2,5,3,4]=>{{1,6},{2,7},{3},{4},{5}}=>10
[5,3,6,4,2,1,7]=>[2,4,6,5,1,3,7]=>[6,2,7,3,5,4,1]=>{{1,6},{2},{3,7},{4},{5}}=>10
[5,3,6,4,2,7,1]=>[7,4,6,5,2,3,1]=>[1,6,7,3,5,4,2]=>{{1},{2,6},{3,7},{4},{5}}=>10
[5,3,6,4,7,1,2]=>[7,1,5,6,3,4,2]=>[3,1,6,7,4,5,2]=>{{1,3,6},{2},{4,7},{5}}=>8
[5,3,6,4,7,2,1]=>[2,7,5,6,3,4,1]=>[1,2,6,7,4,5,3]=>{{1},{2},{3,6},{4,7},{5}}=>10
[5,3,6,7,1,2,4]=>[7,1,5,2,3,6,4]=>[3,5,6,1,4,7,2]=>{{1,3,6,7},{2,5},{4}}=>4
[5,3,6,7,1,4,2]=>[7,4,5,1,3,6,2]=>[5,1,6,3,4,7,2]=>{{1,5},{2},{3,6,7},{4}}=>6
[5,3,6,7,2,1,4]=>[2,7,5,1,3,6,4]=>[5,2,6,1,4,7,3]=>{{1,5},{2},{3,6,7},{4}}=>6
[5,3,6,7,2,4,1]=>[4,7,5,2,3,6,1]=>[1,5,6,2,4,7,3]=>{{1},{2,5},{3,6,7},{4}}=>6
[5,3,6,7,4,1,2]=>[4,1,7,5,2,6,3]=>[3,6,1,2,5,7,4]=>{{1,3},{2,6,7},{4},{5}}=>8
[5,3,6,7,4,2,1]=>[2,4,7,5,1,6,3]=>[6,2,1,3,5,7,4]=>{{1,6,7},{2},{3},{4},{5}}=>10
[5,3,7,1,2,4,6]=>[7,1,5,2,3,4,6]=>[3,5,6,7,4,1,2]=>{{1,3,6},{2,5},{4,7}}=>4
[5,3,7,1,2,6,4]=>[7,1,5,6,3,2,4]=>[3,7,6,1,4,5,2]=>{{1,3,6},{2,7},{4},{5}}=>8
[5,3,7,1,4,2,6]=>[7,4,5,1,3,2,6]=>[5,7,6,3,4,1,2]=>{{1,5},{2,7},{3,6},{4}}=>6
[5,3,7,1,4,6,2]=>[7,6,5,1,3,4,2]=>[5,1,6,7,4,3,2]=>{{1,5},{2},{3,6},{4,7}}=>6
[5,3,7,1,6,2,4]=>[7,6,5,2,3,1,4]=>[7,5,6,1,4,3,2]=>{{1,7},{2,5},{3,6},{4}}=>6
[5,3,7,1,6,4,2]=>[7,4,6,5,2,1,3]=>[7,6,1,3,5,4,2]=>{{1,7},{2,6},{3},{4},{5}}=>10
[5,3,7,2,1,4,6]=>[2,7,5,1,3,4,6]=>[5,2,6,7,4,1,3]=>{{1,5},{2},{3,6},{4,7}}=>6
[5,3,7,2,1,6,4]=>[2,7,5,6,3,1,4]=>[7,2,6,1,4,5,3]=>{{1,7},{2},{3,6},{4},{5}}=>10
[5,3,7,2,4,1,6]=>[4,7,5,2,3,1,6]=>[7,5,6,2,4,1,3]=>{{1,7},{2,5},{3,6},{4}}=>6
[5,3,7,2,4,6,1]=>[6,7,5,2,3,4,1]=>[1,5,6,7,4,2,3]=>{{1},{2,5},{3,6},{4,7}}=>6
[5,3,7,2,6,1,4]=>[6,7,5,1,3,2,4]=>[5,7,6,1,4,2,3]=>{{1,5},{2,7},{3,6},{4}}=>6
[5,3,7,2,6,4,1]=>[4,6,7,5,1,3,2]=>[6,1,7,2,5,3,4]=>{{1,6},{2},{3,7},{4},{5}}=>10
[5,3,7,4,1,2,6]=>[4,1,7,5,2,3,6]=>[3,6,7,2,5,1,4]=>{{1,3,7},{2,6},{4},{5}}=>8
[5,3,7,4,1,6,2]=>[4,7,6,5,1,2,3]=>[6,7,1,2,5,4,3]=>{{1,6},{2,7},{3},{4},{5}}=>10
[5,3,7,4,2,1,6]=>[2,4,7,5,1,3,6]=>[6,2,7,3,5,1,4]=>{{1,6},{2},{3,7},{4},{5}}=>10
[5,3,7,4,2,6,1]=>[6,4,7,5,2,3,1]=>[1,6,7,3,5,2,4]=>{{1},{2,6},{3,7},{4},{5}}=>10
[5,3,7,4,6,1,2]=>[6,1,5,7,3,4,2]=>[3,1,6,7,4,2,5]=>{{1,3,6},{2},{4,7},{5}}=>8
[5,3,7,4,6,2,1]=>[2,6,5,7,3,4,1]=>[1,2,6,7,4,3,5]=>{{1},{2},{3,6},{4,7},{5}}=>10
[5,3,7,6,1,2,4]=>[6,1,5,2,3,7,4]=>[3,5,6,1,4,2,7]=>{{1,3,6},{2,5},{4},{7}}=>10
[5,3,7,6,1,4,2]=>[6,4,5,1,3,7,2]=>[5,1,6,3,4,2,7]=>{{1,5},{2},{3,6},{4},{7}}=>12
[5,3,7,6,2,1,4]=>[2,6,5,1,3,7,4]=>[5,2,6,1,4,3,7]=>{{1,5},{2},{3,6},{4},{7}}=>12
[5,3,7,6,2,4,1]=>[4,6,5,2,3,7,1]=>[1,5,6,2,4,3,7]=>{{1},{2,5},{3,6},{4},{7}}=>12
[5,3,7,6,4,1,2]=>[4,1,6,5,2,7,3]=>[3,6,1,2,5,4,7]=>{{1,3},{2,6},{4},{5},{7}}=>14
[5,3,7,6,4,2,1]=>[2,4,6,5,1,7,3]=>[6,2,1,3,5,4,7]=>{{1,6},{2},{3},{4},{5},{7}}=>16
[5,4,1,2,3,6,7]=>[4,1,2,5,3,6,7]=>[3,4,6,2,5,7,1]=>{{1,3,6,7},{2,4},{5}}=>5
[5,4,1,2,3,7,6]=>[4,1,2,5,3,7,6]=>[3,4,6,2,5,1,7]=>{{1,3,6},{2,4},{5},{7}}=>11
[5,4,1,2,6,3,7]=>[4,1,5,6,3,2,7]=>[3,7,6,2,4,5,1]=>{{1,3,6},{2,7},{4},{5}}=>8
[5,4,1,2,6,7,3]=>[4,1,5,7,3,6,2]=>[3,1,6,2,4,7,5]=>{{1,3,6,7},{2},{4},{5}}=>8
[5,4,1,2,7,3,6]=>[4,1,5,7,3,2,6]=>[3,7,6,2,4,1,5]=>{{1,3,6},{2,7},{4},{5}}=>8
[5,4,1,2,7,6,3]=>[4,1,5,6,3,7,2]=>[3,1,6,2,4,5,7]=>{{1,3,6},{2},{4},{5},{7}}=>14
[5,4,1,3,2,6,7]=>[4,3,1,5,2,6,7]=>[4,6,3,2,5,7,1]=>{{1,4},{2,6,7},{3},{5}}=>7
[5,4,1,3,2,7,6]=>[4,3,1,5,2,7,6]=>[4,6,3,2,5,1,7]=>{{1,4},{2,6},{3},{5},{7}}=>13
[5,4,1,3,6,2,7]=>[4,5,1,6,2,3,7]=>[4,6,7,2,3,5,1]=>{{1,4},{2,6},{3,7},{5}}=>7
[5,4,1,3,6,7,2]=>[4,5,1,7,2,6,3]=>[4,6,1,2,3,7,5]=>{{1,4},{2,6,7},{3},{5}}=>7
[5,4,1,3,7,2,6]=>[4,5,1,7,2,3,6]=>[4,6,7,2,3,1,5]=>{{1,4},{2,6},{3,7},{5}}=>7
[5,4,1,3,7,6,2]=>[4,5,1,6,2,7,3]=>[4,6,1,2,3,5,7]=>{{1,4},{2,6},{3},{5},{7}}=>13
[5,4,1,6,2,3,7]=>[4,5,2,6,3,1,7]=>[7,4,6,2,3,5,1]=>{{1,7},{2,4},{3,6},{5}}=>7
[5,4,1,6,2,7,3]=>[4,5,6,7,2,3,1]=>[1,6,7,2,3,4,5]=>{{1},{2,6},{3,7},{4},{5}}=>10
[5,4,1,6,3,2,7]=>[4,3,5,6,2,1,7]=>[7,6,3,2,4,5,1]=>{{1,7},{2,6},{3},{4},{5}}=>10
[5,4,1,6,3,7,2]=>[4,5,7,6,2,1,3]=>[7,6,1,2,3,5,4]=>{{1,7},{2,6},{3},{4},{5}}=>10
[5,4,1,6,7,2,3]=>[4,5,2,7,3,6,1]=>[1,4,6,2,3,7,5]=>{{1},{2,4},{3,6,7},{5}}=>7
[5,4,1,6,7,3,2]=>[4,3,5,7,2,6,1]=>[1,6,3,2,4,7,5]=>{{1},{2,6,7},{3},{4},{5}}=>10
[5,4,1,7,2,3,6]=>[4,5,2,7,3,1,6]=>[7,4,6,2,3,1,5]=>{{1,7},{2,4},{3,6},{5}}=>7
[5,4,1,7,2,6,3]=>[4,5,7,6,2,3,1]=>[1,6,7,2,3,5,4]=>{{1},{2,6},{3,7},{4},{5}}=>10
[5,4,1,7,3,2,6]=>[4,3,5,7,2,1,6]=>[7,6,3,2,4,1,5]=>{{1,7},{2,6},{3},{4},{5}}=>10
[5,4,1,7,3,6,2]=>[4,5,6,7,2,1,3]=>[7,6,1,2,3,4,5]=>{{1,7},{2,6},{3},{4},{5}}=>10
[5,4,1,7,6,2,3]=>[4,5,2,6,3,7,1]=>[1,4,6,2,3,5,7]=>{{1},{2,4},{3,6},{5},{7}}=>13
[5,4,1,7,6,3,2]=>[4,3,5,6,2,7,1]=>[1,6,3,2,4,5,7]=>{{1},{2,6},{3},{4},{5},{7}}=>16
[5,4,2,1,3,6,7]=>[2,4,1,5,3,6,7]=>[4,2,6,3,5,7,1]=>{{1,4},{2},{3,6,7},{5}}=>7
[5,4,2,1,3,7,6]=>[2,4,1,5,3,7,6]=>[4,2,6,3,5,1,7]=>{{1,4},{2},{3,6},{5},{7}}=>13
[5,4,2,1,6,3,7]=>[2,4,5,6,3,1,7]=>[7,2,6,3,4,5,1]=>{{1,7},{2},{3,6},{4},{5}}=>10
[5,4,2,1,6,7,3]=>[2,4,5,7,3,6,1]=>[1,2,6,3,4,7,5]=>{{1},{2},{3,6,7},{4},{5}}=>10
[5,4,2,1,7,3,6]=>[2,4,5,7,3,1,6]=>[7,2,6,3,4,1,5]=>{{1,7},{2},{3,6},{4},{5}}=>10
[5,4,2,1,7,6,3]=>[2,4,5,6,3,7,1]=>[1,2,6,3,4,5,7]=>{{1},{2},{3,6},{4},{5},{7}}=>16
[5,4,2,3,1,6,7]=>[3,4,2,5,1,6,7]=>[6,4,2,3,5,7,1]=>{{1,6,7},{2,4},{3},{5}}=>7
[5,4,2,3,1,7,6]=>[3,4,2,5,1,7,6]=>[6,4,2,3,5,1,7]=>{{1,6},{2,4},{3},{5},{7}}=>13
[5,4,2,3,6,1,7]=>[6,4,2,5,3,1,7]=>[7,4,6,3,5,2,1]=>{{1,7},{2,4},{3,6},{5}}=>7
[5,4,2,3,6,7,1]=>[7,4,2,5,3,6,1]=>[1,4,6,3,5,7,2]=>{{1},{2,4},{3,6,7},{5}}=>7
[5,4,2,3,7,1,6]=>[7,4,2,5,3,1,6]=>[7,4,6,3,5,1,2]=>{{1,7},{2,4},{3,6},{5}}=>7
[5,4,2,3,7,6,1]=>[6,4,2,5,3,7,1]=>[1,4,6,3,5,2,7]=>{{1},{2,4},{3,6},{5},{7}}=>13
[5,4,2,6,1,3,7]=>[6,4,1,5,2,3,7]=>[4,6,7,3,5,2,1]=>{{1,4},{2,6},{3,7},{5}}=>7
[5,4,2,6,1,7,3]=>[6,4,5,7,3,1,2]=>[7,1,6,3,4,2,5]=>{{1,7},{2},{3,6},{4},{5}}=>10
[5,4,2,6,3,1,7]=>[3,6,4,5,1,2,7]=>[6,7,2,4,5,3,1]=>{{1,6},{2,7},{3},{4},{5}}=>10
[5,4,2,6,3,7,1]=>[7,4,5,6,3,2,1]=>[1,7,6,3,4,5,2]=>{{1},{2,7},{3,6},{4},{5}}=>10
[5,4,2,6,7,1,3]=>[7,4,1,5,2,6,3]=>[4,6,1,3,5,7,2]=>{{1,4},{2,6,7},{3},{5}}=>7
[5,4,2,6,7,3,1]=>[3,7,4,5,1,6,2]=>[6,1,2,4,5,7,3]=>{{1,6,7},{2},{3},{4},{5}}=>10
[5,4,2,7,1,3,6]=>[7,4,1,5,2,3,6]=>[4,6,7,3,5,1,2]=>{{1,4},{2,6},{3,7},{5}}=>7
[5,4,2,7,1,6,3]=>[7,4,5,6,3,1,2]=>[7,1,6,3,4,5,2]=>{{1,7},{2},{3,6},{4},{5}}=>10
[5,4,2,7,3,1,6]=>[3,7,4,5,1,2,6]=>[6,7,2,4,5,1,3]=>{{1,6},{2,7},{3},{4},{5}}=>10
[5,4,2,7,3,6,1]=>[6,4,5,7,3,2,1]=>[1,7,6,3,4,2,5]=>{{1},{2,7},{3,6},{4},{5}}=>10
[5,4,2,7,6,1,3]=>[6,4,1,5,2,7,3]=>[4,6,1,3,5,2,7]=>{{1,4},{2,6},{3},{5},{7}}=>13
[5,4,2,7,6,3,1]=>[3,6,4,5,1,7,2]=>[6,1,2,4,5,3,7]=>{{1,6},{2},{3},{4},{5},{7}}=>16
[5,4,3,1,2,6,7]=>[3,1,4,5,2,6,7]=>[3,6,2,4,5,7,1]=>{{1,3},{2,6,7},{4},{5}}=>8
[5,4,3,1,2,7,6]=>[3,1,4,5,2,7,6]=>[3,6,2,4,5,1,7]=>{{1,3},{2,6},{4},{5},{7}}=>14
[5,4,3,1,6,2,7]=>[3,4,5,6,1,2,7]=>[6,7,2,3,4,5,1]=>{{1,6},{2,7},{3},{4},{5}}=>10
[5,4,3,1,6,7,2]=>[3,4,5,7,1,6,2]=>[6,1,2,3,4,7,5]=>{{1,6,7},{2},{3},{4},{5}}=>10
[5,4,3,1,7,2,6]=>[3,4,5,7,1,2,6]=>[6,7,2,3,4,1,5]=>{{1,6},{2,7},{3},{4},{5}}=>10
[5,4,3,1,7,6,2]=>[3,4,5,6,1,7,2]=>[6,1,2,3,4,5,7]=>{{1,6},{2},{3},{4},{5},{7}}=>16
[5,4,3,2,1,6,7]=>[2,3,4,5,1,6,7]=>[6,2,3,4,5,7,1]=>{{1,6,7},{2},{3},{4},{5}}=>10
[5,4,3,2,1,7,6]=>[2,3,4,5,1,7,6]=>[6,2,3,4,5,1,7]=>{{1,6},{2},{3},{4},{5},{7}}=>16
[5,4,3,2,6,1,7]=>[6,3,4,5,2,1,7]=>[7,6,3,4,5,2,1]=>{{1,7},{2,6},{3},{4},{5}}=>10
[5,4,3,2,6,7,1]=>[7,3,4,5,2,6,1]=>[1,6,3,4,5,7,2]=>{{1},{2,6,7},{3},{4},{5}}=>10
[5,4,3,2,7,1,6]=>[7,3,4,5,2,1,6]=>[7,6,3,4,5,1,2]=>{{1,7},{2,6},{3},{4},{5}}=>10
[5,4,3,2,7,6,1]=>[6,3,4,5,2,7,1]=>[1,6,3,4,5,2,7]=>{{1},{2,6},{3},{4},{5},{7}}=>16
[5,4,3,6,1,2,7]=>[6,1,4,5,3,2,7]=>[3,7,6,4,5,2,1]=>{{1,3,6},{2,7},{4},{5}}=>8
[5,4,3,6,1,7,2]=>[6,7,4,5,3,1,2]=>[7,1,6,4,5,2,3]=>{{1,7},{2},{3,6},{4},{5}}=>10
[5,4,3,6,2,1,7]=>[2,6,4,5,3,1,7]=>[7,2,6,4,5,3,1]=>{{1,7},{2},{3,6},{4},{5}}=>10
[5,4,3,6,2,7,1]=>[7,6,4,5,3,2,1]=>[1,7,6,4,5,3,2]=>{{1},{2,7},{3,6},{4},{5}}=>10
[5,4,3,6,7,1,2]=>[7,1,4,5,3,6,2]=>[3,1,6,4,5,7,2]=>{{1,3,6,7},{2},{4},{5}}=>8
[5,4,3,6,7,2,1]=>[2,7,4,5,3,6,1]=>[1,2,6,4,5,7,3]=>{{1},{2},{3,6,7},{4},{5}}=>10
[5,4,3,7,1,2,6]=>[7,1,4,5,3,2,6]=>[3,7,6,4,5,1,2]=>{{1,3,6},{2,7},{4},{5}}=>8
[5,4,3,7,1,6,2]=>[7,6,4,5,3,1,2]=>[7,1,6,4,5,3,2]=>{{1,7},{2},{3,6},{4},{5}}=>10
[5,4,3,7,2,1,6]=>[2,7,4,5,3,1,6]=>[7,2,6,4,5,1,3]=>{{1,7},{2},{3,6},{4},{5}}=>10
[5,4,3,7,2,6,1]=>[6,7,4,5,3,2,1]=>[1,7,6,4,5,2,3]=>{{1},{2,7},{3,6},{4},{5}}=>10
[5,4,3,7,6,1,2]=>[6,1,4,5,3,7,2]=>[3,1,6,4,5,2,7]=>{{1,3,6},{2},{4},{5},{7}}=>14
[5,4,3,7,6,2,1]=>[2,6,4,5,3,7,1]=>[1,2,6,4,5,3,7]=>{{1},{2},{3,6},{4},{5},{7}}=>16
[5,4,6,1,2,3,7]=>[6,1,2,5,4,3,7]=>[3,4,7,6,5,2,1]=>{{1,3,7},{2,4,6},{5}}=>5
[5,4,6,1,2,7,3]=>[6,1,7,5,4,2,3]=>[3,7,1,6,5,2,4]=>{{1,3},{2,7},{4,6},{5}}=>8
[5,4,6,1,3,2,7]=>[6,3,1,5,4,2,7]=>[4,7,3,6,5,2,1]=>{{1,4,6},{2,7},{3},{5}}=>7
[5,4,6,1,3,7,2]=>[6,7,1,5,4,3,2]=>[4,1,7,6,5,2,3]=>{{1,4,6},{2},{3,7},{5}}=>7
[5,4,6,1,7,2,3]=>[6,7,2,5,4,1,3]=>[7,4,1,6,5,2,3]=>{{1,7},{2,4,6},{3},{5}}=>7
[5,4,6,1,7,3,2]=>[6,3,7,5,4,1,2]=>[7,1,3,6,5,2,4]=>{{1,7},{2},{3},{4,6},{5}}=>10
[5,4,6,2,1,3,7]=>[2,6,1,5,4,3,7]=>[4,2,7,6,5,3,1]=>{{1,4,6},{2},{3,7},{5}}=>7
[5,4,6,2,1,7,3]=>[2,6,7,5,4,1,3]=>[7,2,1,6,5,3,4]=>{{1,7},{2},{3},{4,6},{5}}=>10
[5,4,6,2,3,1,7]=>[3,6,2,5,4,1,7]=>[7,4,2,6,5,3,1]=>{{1,7},{2,4,6},{3},{5}}=>7
[5,4,6,2,3,7,1]=>[7,6,2,5,4,3,1]=>[1,4,7,6,5,3,2]=>{{1},{2,4,6},{3,7},{5}}=>7
[5,4,6,2,7,1,3]=>[7,6,1,5,4,2,3]=>[4,7,1,6,5,3,2]=>{{1,4,6},{2,7},{3},{5}}=>7
[5,4,6,2,7,3,1]=>[3,7,6,5,4,1,2]=>[7,1,2,6,5,4,3]=>{{1,7},{2},{3},{4,6},{5}}=>10
[5,4,6,3,1,2,7]=>[3,1,6,5,4,2,7]=>[3,7,2,6,5,4,1]=>{{1,3},{2,7},{4,6},{5}}=>8
[5,4,6,3,1,7,2]=>[3,6,7,5,4,2,1]=>[1,7,2,6,5,3,4]=>{{1},{2,7},{3},{4,6},{5}}=>10
[5,4,6,3,2,1,7]=>[2,3,6,5,4,1,7]=>[7,2,3,6,5,4,1]=>{{1,7},{2},{3},{4,6},{5}}=>10
[5,4,6,3,2,7,1]=>[7,3,6,5,4,2,1]=>[1,7,3,6,5,4,2]=>{{1},{2,7},{3},{4,6},{5}}=>10
[5,4,6,3,7,1,2]=>[7,1,6,5,4,3,2]=>[3,1,7,6,5,4,2]=>{{1,3,7},{2},{4,6},{5}}=>8
[5,4,6,3,7,2,1]=>[2,7,6,5,4,3,1]=>[1,2,7,6,5,4,3]=>{{1},{2},{3,7},{4,6},{5}}=>10
[5,4,6,7,1,2,3]=>[7,1,2,5,4,6,3]=>[3,4,1,6,5,7,2]=>{{1,3},{2,4,6,7},{5}}=>5
[5,4,6,7,1,3,2]=>[7,3,1,5,4,6,2]=>[4,1,3,6,5,7,2]=>{{1,4,6,7},{2},{3},{5}}=>7
[5,4,6,7,2,1,3]=>[2,7,1,5,4,6,3]=>[4,2,1,6,5,7,3]=>{{1,4,6,7},{2},{3},{5}}=>7
[5,4,6,7,2,3,1]=>[3,7,2,5,4,6,1]=>[1,4,2,6,5,7,3]=>{{1},{2,4,6,7},{3},{5}}=>7
[5,4,6,7,3,1,2]=>[3,1,7,5,4,6,2]=>[3,1,2,6,5,7,4]=>{{1,3},{2},{4,6,7},{5}}=>8
[5,4,6,7,3,2,1]=>[2,3,7,5,4,6,1]=>[1,2,3,6,5,7,4]=>{{1},{2},{3},{4,6,7},{5}}=>10
[5,4,7,1,2,3,6]=>[7,1,2,5,4,3,6]=>[3,4,7,6,5,1,2]=>{{1,3,7},{2,4,6},{5}}=>5
[5,4,7,1,2,6,3]=>[7,1,6,5,4,2,3]=>[3,7,1,6,5,4,2]=>{{1,3},{2,7},{4,6},{5}}=>8
[5,4,7,1,3,2,6]=>[7,3,1,5,4,2,6]=>[4,7,3,6,5,1,2]=>{{1,4,6},{2,7},{3},{5}}=>7
[5,4,7,1,3,6,2]=>[7,6,1,5,4,3,2]=>[4,1,7,6,5,3,2]=>{{1,4,6},{2},{3,7},{5}}=>7
[5,4,7,1,6,2,3]=>[7,6,2,5,4,1,3]=>[7,4,1,6,5,3,2]=>{{1,7},{2,4,6},{3},{5}}=>7
[5,4,7,1,6,3,2]=>[7,3,6,5,4,1,2]=>[7,1,3,6,5,4,2]=>{{1,7},{2},{3},{4,6},{5}}=>10
[5,4,7,2,1,3,6]=>[2,7,1,5,4,3,6]=>[4,2,7,6,5,1,3]=>{{1,4,6},{2},{3,7},{5}}=>7
[5,4,7,2,1,6,3]=>[2,7,6,5,4,1,3]=>[7,2,1,6,5,4,3]=>{{1,7},{2},{3},{4,6},{5}}=>10
[5,4,7,2,3,1,6]=>[3,7,2,5,4,1,6]=>[7,4,2,6,5,1,3]=>{{1,7},{2,4,6},{3},{5}}=>7
[5,4,7,2,3,6,1]=>[6,7,2,5,4,3,1]=>[1,4,7,6,5,2,3]=>{{1},{2,4,6},{3,7},{5}}=>7
[5,4,7,2,6,1,3]=>[6,7,1,5,4,2,3]=>[4,7,1,6,5,2,3]=>{{1,4,6},{2,7},{3},{5}}=>7
[5,4,7,2,6,3,1]=>[3,6,7,5,4,1,2]=>[7,1,2,6,5,3,4]=>{{1,7},{2},{3},{4,6},{5}}=>10
[5,4,7,3,1,2,6]=>[3,1,7,5,4,2,6]=>[3,7,2,6,5,1,4]=>{{1,3},{2,7},{4,6},{5}}=>8
[5,4,7,3,1,6,2]=>[3,7,6,5,4,2,1]=>[1,7,2,6,5,4,3]=>{{1},{2,7},{3},{4,6},{5}}=>10
[5,4,7,3,2,1,6]=>[2,3,7,5,4,1,6]=>[7,2,3,6,5,1,4]=>{{1,7},{2},{3},{4,6},{5}}=>10
[5,4,7,3,2,6,1]=>[6,3,7,5,4,2,1]=>[1,7,3,6,5,2,4]=>{{1},{2,7},{3},{4,6},{5}}=>10
[5,4,7,3,6,1,2]=>[6,1,7,5,4,3,2]=>[3,1,7,6,5,2,4]=>{{1,3,7},{2},{4,6},{5}}=>8
[5,4,7,3,6,2,1]=>[2,6,7,5,4,3,1]=>[1,2,7,6,5,3,4]=>{{1},{2},{3,7},{4,6},{5}}=>10
[5,4,7,6,1,2,3]=>[6,1,2,5,4,7,3]=>[3,4,1,6,5,2,7]=>{{1,3},{2,4,6},{5},{7}}=>11
[5,4,7,6,1,3,2]=>[6,3,1,5,4,7,2]=>[4,1,3,6,5,2,7]=>{{1,4,6},{2},{3},{5},{7}}=>13
[5,4,7,6,2,1,3]=>[2,6,1,5,4,7,3]=>[4,2,1,6,5,3,7]=>{{1,4,6},{2},{3},{5},{7}}=>13
[5,4,7,6,2,3,1]=>[3,6,2,5,4,7,1]=>[1,4,2,6,5,3,7]=>{{1},{2,4,6},{3},{5},{7}}=>13
[5,4,7,6,3,1,2]=>[3,1,6,5,4,7,2]=>[3,1,2,6,5,4,7]=>{{1,3},{2},{4,6},{5},{7}}=>14
[5,4,7,6,3,2,1]=>[2,3,6,5,4,7,1]=>[1,2,3,6,5,4,7]=>{{1},{2},{3},{4,6},{5},{7}}=>16
[5,6,1,2,3,4,7]=>[6,1,2,3,5,4,7]=>[3,4,5,7,6,2,1]=>{{1,3,5,6},{2,4,7}}=>1
[5,6,1,2,3,7,4]=>[6,1,2,7,5,3,4]=>[3,4,7,1,6,2,5]=>{{1,3,7},{2,4},{5,6}}=>5
[5,6,1,2,4,3,7]=>[6,1,4,2,5,3,7]=>[3,5,7,4,6,2,1]=>{{1,3,7},{2,5,6},{4}}=>4
[5,6,1,2,4,7,3]=>[6,1,7,2,5,4,3]=>[3,5,1,7,6,2,4]=>{{1,3},{2,5,6},{4,7}}=>4
[5,6,1,2,7,3,4]=>[6,1,7,3,5,2,4]=>[3,7,5,1,6,2,4]=>{{1,3,5,6},{2,7},{4}}=>4
[5,6,1,2,7,4,3]=>[6,1,4,7,5,2,3]=>[3,7,1,4,6,2,5]=>{{1,3},{2,7},{4},{5,6}}=>8
[5,6,1,3,2,4,7]=>[6,3,1,2,5,4,7]=>[4,5,3,7,6,2,1]=>{{1,4,7},{2,5,6},{3}}=>3
[5,6,1,3,2,7,4]=>[6,3,1,7,5,2,4]=>[4,7,3,1,6,2,5]=>{{1,4},{2,7},{3},{5,6}}=>7
[5,6,1,3,4,2,7]=>[6,4,1,3,5,2,7]=>[4,7,5,3,6,2,1]=>{{1,4},{2,7},{3,5,6}}=>3
[5,6,1,3,4,7,2]=>[6,7,1,2,5,3,4]=>[4,5,7,1,6,2,3]=>{{1,4},{2,5,6},{3,7}}=>3
[5,6,1,3,7,2,4]=>[6,7,1,3,5,4,2]=>[4,1,5,7,6,2,3]=>{{1,4,7},{2},{3,5,6}}=>3
[5,6,1,3,7,4,2]=>[6,4,1,7,5,3,2]=>[4,1,7,3,6,2,5]=>{{1,4},{2},{3,7},{5,6}}=>7
[5,6,1,4,2,3,7]=>[6,4,2,1,5,3,7]=>[5,4,7,3,6,2,1]=>{{1,5,6},{2,4},{3,7}}=>3
[5,6,1,4,2,7,3]=>[6,4,7,1,5,2,3]=>[5,7,1,3,6,2,4]=>{{1,5,6},{2,7},{3},{4}}=>6
[5,6,1,4,3,2,7]=>[6,3,4,1,5,2,7]=>[5,7,3,4,6,2,1]=>{{1,5,6},{2,7},{3},{4}}=>6
[5,6,1,4,3,7,2]=>[6,7,4,1,5,3,2]=>[5,1,7,4,6,2,3]=>{{1,5,6},{2},{3,7},{4}}=>6
[5,6,1,4,7,2,3]=>[6,7,2,1,5,4,3]=>[5,4,1,7,6,2,3]=>{{1,5,6},{2,4,7},{3}}=>3
[5,6,1,4,7,3,2]=>[6,3,7,1,5,4,2]=>[5,1,3,7,6,2,4]=>{{1,5,6},{2},{3},{4,7}}=>6
[5,6,1,7,2,3,4]=>[6,7,2,3,5,1,4]=>[7,4,5,1,6,2,3]=>{{1,7},{2,4},{3,5,6}}=>3
[5,6,1,7,2,4,3]=>[6,7,4,2,5,1,3]=>[7,5,1,4,6,2,3]=>{{1,7},{2,5,6},{3},{4}}=>6
[5,6,1,7,3,2,4]=>[6,3,7,2,5,1,4]=>[7,5,3,1,6,2,4]=>{{1,7},{2,5,6},{3},{4}}=>6
[5,6,1,7,3,4,2]=>[6,4,7,3,5,1,2]=>[7,1,5,3,6,2,4]=>{{1,7},{2},{3,5,6},{4}}=>6
[5,6,1,7,4,2,3]=>[6,4,2,7,5,1,3]=>[7,4,1,3,6,2,5]=>{{1,7},{2,4},{3},{5,6}}=>7
[5,6,1,7,4,3,2]=>[6,3,4,7,5,1,2]=>[7,1,3,4,6,2,5]=>{{1,7},{2},{3},{4},{5,6}}=>10
[5,6,2,1,3,4,7]=>[2,6,1,3,5,4,7]=>[4,2,5,7,6,3,1]=>{{1,4,7},{2},{3,5,6}}=>3
[5,6,2,1,3,7,4]=>[2,6,1,7,5,3,4]=>[4,2,7,1,6,3,5]=>{{1,4},{2},{3,7},{5,6}}=>7
[5,6,2,1,4,3,7]=>[2,6,4,1,5,3,7]=>[5,2,7,4,6,3,1]=>{{1,5,6},{2},{3,7},{4}}=>6
[5,6,2,1,4,7,3]=>[2,6,7,1,5,4,3]=>[5,2,1,7,6,3,4]=>{{1,5,6},{2},{3},{4,7}}=>6
[5,6,2,1,7,3,4]=>[2,6,7,3,5,1,4]=>[7,2,5,1,6,3,4]=>{{1,7},{2},{3,5,6},{4}}=>6
[5,6,2,1,7,4,3]=>[2,6,4,7,5,1,3]=>[7,2,1,4,6,3,5]=>{{1,7},{2},{3},{4},{5,6}}=>10
[5,6,2,3,1,4,7]=>[3,6,2,1,5,4,7]=>[5,4,2,7,6,3,1]=>{{1,5,6},{2,4,7},{3}}=>3
[5,6,2,3,1,7,4]=>[3,6,2,7,5,1,4]=>[7,4,2,1,6,3,5]=>{{1,7},{2,4},{3},{5,6}}=>7
[5,6,2,3,4,1,7]=>[4,6,2,3,5,1,7]=>[7,4,5,2,6,3,1]=>{{1,7},{2,4},{3,5,6}}=>3
[5,6,2,3,4,7,1]=>[7,6,2,3,5,4,1]=>[1,4,5,7,6,3,2]=>{{1},{2,4,7},{3,5,6}}=>3
[5,6,2,3,7,1,4]=>[7,6,2,1,5,3,4]=>[5,4,7,1,6,3,2]=>{{1,5,6},{2,4},{3,7}}=>3
[5,6,2,3,7,4,1]=>[4,7,2,6,5,1,3]=>[7,4,1,2,6,5,3]=>{{1,7},{2,4},{3},{5,6}}=>7
[5,6,2,4,1,3,7]=>[4,6,1,2,5,3,7]=>[4,5,7,2,6,3,1]=>{{1,4},{2,5,6},{3,7}}=>3
[5,6,2,4,1,7,3]=>[4,6,7,2,5,1,3]=>[7,5,1,2,6,3,4]=>{{1,7},{2,5,6},{3},{4}}=>6
[5,6,2,4,3,1,7]=>[3,4,6,1,5,2,7]=>[5,7,2,3,6,4,1]=>{{1,5,6},{2,7},{3},{4}}=>6
[5,6,2,4,3,7,1]=>[7,6,4,2,5,3,1]=>[1,5,7,4,6,3,2]=>{{1},{2,5,6},{3,7},{4}}=>6
[5,6,2,4,7,1,3]=>[7,6,1,3,5,2,4]=>[4,7,5,1,6,3,2]=>{{1,4},{2,7},{3,5,6}}=>3
[5,6,2,4,7,3,1]=>[3,7,6,2,5,1,4]=>[7,5,2,1,6,4,3]=>{{1,7},{2,5,6},{3},{4}}=>6
[5,6,2,7,1,3,4]=>[7,6,1,2,5,4,3]=>[4,5,1,7,6,3,2]=>{{1,4,7},{2,5,6},{3}}=>3
[5,6,2,7,1,4,3]=>[7,6,4,1,5,2,3]=>[5,7,1,4,6,3,2]=>{{1,5,6},{2,7},{3},{4}}=>6
[5,6,2,7,3,1,4]=>[3,7,6,1,5,4,2]=>[5,1,2,7,6,4,3]=>{{1,5,6},{2},{3},{4,7}}=>6
[5,6,2,7,3,4,1]=>[4,6,7,3,5,2,1]=>[1,7,5,2,6,3,4]=>{{1},{2,7},{3,5,6},{4}}=>6
[5,6,2,7,4,1,3]=>[4,7,1,6,5,3,2]=>[4,1,7,2,6,5,3]=>{{1,4},{2},{3,7},{5,6}}=>7
[5,6,2,7,4,3,1]=>[3,4,7,6,5,2,1]=>[1,7,2,3,6,5,4]=>{{1},{2,7},{3},{4},{5,6}}=>10
[5,6,3,1,2,4,7]=>[3,1,6,2,5,4,7]=>[3,5,2,7,6,4,1]=>{{1,3},{2,5,6},{4,7}}=>4
[5,6,3,1,2,7,4]=>[3,1,6,7,5,2,4]=>[3,7,2,1,6,4,5]=>{{1,3},{2,7},{4},{5,6}}=>8
[5,6,3,1,4,2,7]=>[3,6,4,2,5,1,7]=>[7,5,2,4,6,3,1]=>{{1,7},{2,5,6},{3},{4}}=>6
[5,6,3,1,4,7,2]=>[3,6,7,1,5,2,4]=>[5,7,2,1,6,3,4]=>{{1,5,6},{2,7},{3},{4}}=>6
[5,6,3,1,7,2,4]=>[3,6,7,2,5,4,1]=>[1,5,2,7,6,3,4]=>{{1},{2,5,6},{3},{4,7}}=>6
[5,6,3,1,7,4,2]=>[3,6,4,7,5,2,1]=>[1,7,2,4,6,3,5]=>{{1},{2,7},{3},{4},{5,6}}=>10
[5,6,3,2,1,4,7]=>[2,3,6,1,5,4,7]=>[5,2,3,7,6,4,1]=>{{1,5,6},{2},{3},{4,7}}=>6
[5,6,3,2,1,7,4]=>[2,3,6,7,5,1,4]=>[7,2,3,1,6,4,5]=>{{1,7},{2},{3},{4},{5,6}}=>10
[5,6,3,2,4,1,7]=>[4,3,6,2,5,1,7]=>[7,5,3,2,6,4,1]=>{{1,7},{2,5,6},{3},{4}}=>6
[5,6,3,2,4,7,1]=>[7,3,6,2,5,4,1]=>[1,5,3,7,6,4,2]=>{{1},{2,5,6},{3},{4,7}}=>6
[5,6,3,2,7,1,4]=>[7,3,6,1,5,2,4]=>[5,7,3,1,6,4,2]=>{{1,5,6},{2,7},{3},{4}}=>6
[5,6,3,2,7,4,1]=>[4,3,7,6,5,1,2]=>[7,1,3,2,6,5,4]=>{{1,7},{2},{3},{4},{5,6}}=>10
[5,6,3,4,1,2,7]=>[4,1,6,3,5,2,7]=>[3,7,5,2,6,4,1]=>{{1,3,5,6},{2,7},{4}}=>4
[5,6,3,4,1,7,2]=>[4,7,6,3,5,1,2]=>[7,1,5,2,6,4,3]=>{{1,7},{2},{3,5,6},{4}}=>6
[5,6,3,4,2,1,7]=>[2,4,6,3,5,1,7]=>[7,2,5,3,6,4,1]=>{{1,7},{2},{3,5,6},{4}}=>6
[5,6,3,4,2,7,1]=>[7,4,6,3,5,2,1]=>[1,7,5,3,6,4,2]=>{{1},{2,7},{3,5,6},{4}}=>6
[5,6,3,4,7,1,2]=>[7,1,6,3,5,4,2]=>[3,1,5,7,6,4,2]=>{{1,3,5,6},{2},{4,7}}=>4
[5,6,3,4,7,2,1]=>[2,7,6,3,5,4,1]=>[1,2,5,7,6,4,3]=>{{1},{2},{3,5,6},{4,7}}=>6
[5,6,3,7,1,2,4]=>[7,1,6,2,5,3,4]=>[3,5,7,1,6,4,2]=>{{1,3,7},{2,5,6},{4}}=>4
[5,6,3,7,1,4,2]=>[7,4,6,1,5,3,2]=>[5,1,7,3,6,4,2]=>{{1,5,6},{2},{3,7},{4}}=>6
[5,6,3,7,2,1,4]=>[2,7,6,1,5,3,4]=>[5,2,7,1,6,4,3]=>{{1,5,6},{2},{3,7},{4}}=>6
[5,6,3,7,2,4,1]=>[4,7,6,2,5,3,1]=>[1,5,7,2,6,4,3]=>{{1},{2,5,6},{3,7},{4}}=>6
[5,6,3,7,4,1,2]=>[4,1,7,6,5,2,3]=>[3,7,1,2,6,5,4]=>{{1,3},{2,7},{4},{5,6}}=>8
[5,6,3,7,4,2,1]=>[2,4,7,6,5,1,3]=>[7,2,1,3,6,5,4]=>{{1,7},{2},{3},{4},{5,6}}=>10
[5,6,4,1,2,3,7]=>[4,1,2,6,5,3,7]=>[3,4,7,2,6,5,1]=>{{1,3,7},{2,4},{5,6}}=>5
[5,6,4,1,2,7,3]=>[4,1,6,7,5,3,2]=>[3,1,7,2,6,4,5]=>{{1,3,7},{2},{4},{5,6}}=>8
[5,6,4,1,3,2,7]=>[4,3,1,6,5,2,7]=>[4,7,3,2,6,5,1]=>{{1,4},{2,7},{3},{5,6}}=>7
[5,6,4,1,3,7,2]=>[4,6,1,7,5,2,3]=>[4,7,1,2,6,3,5]=>{{1,4},{2,7},{3},{5,6}}=>7
[5,6,4,1,7,2,3]=>[4,6,2,7,5,3,1]=>[1,4,7,2,6,3,5]=>{{1},{2,4},{3,7},{5,6}}=>7
[5,6,4,1,7,3,2]=>[4,3,6,7,5,2,1]=>[1,7,3,2,6,4,5]=>{{1},{2,7},{3},{4},{5,6}}=>10
[5,6,4,2,1,3,7]=>[2,4,1,6,5,3,7]=>[4,2,7,3,6,5,1]=>{{1,4},{2},{3,7},{5,6}}=>7
[5,6,4,2,1,7,3]=>[2,4,6,7,5,3,1]=>[1,2,7,3,6,4,5]=>{{1},{2},{3,7},{4},{5,6}}=>10
[5,6,4,2,3,1,7]=>[3,4,2,6,5,1,7]=>[7,4,2,3,6,5,1]=>{{1,7},{2,4},{3},{5,6}}=>7
[5,6,4,2,3,7,1]=>[7,4,2,6,5,3,1]=>[1,4,7,3,6,5,2]=>{{1},{2,4},{3,7},{5,6}}=>7
[5,6,4,2,7,1,3]=>[7,4,1,6,5,2,3]=>[4,7,1,3,6,5,2]=>{{1,4},{2,7},{3},{5,6}}=>7
[5,6,4,2,7,3,1]=>[3,7,4,6,5,1,2]=>[7,1,2,4,6,5,3]=>{{1,7},{2},{3},{4},{5,6}}=>10
[5,6,4,3,1,2,7]=>[3,1,4,6,5,2,7]=>[3,7,2,4,6,5,1]=>{{1,3},{2,7},{4},{5,6}}=>8
[5,6,4,3,1,7,2]=>[3,4,6,7,5,1,2]=>[7,1,2,3,6,4,5]=>{{1,7},{2},{3},{4},{5,6}}=>10
[5,6,4,3,2,1,7]=>[2,3,4,6,5,1,7]=>[7,2,3,4,6,5,1]=>{{1,7},{2},{3},{4},{5,6}}=>10
[5,6,4,3,2,7,1]=>[7,3,4,6,5,2,1]=>[1,7,3,4,6,5,2]=>{{1},{2,7},{3},{4},{5,6}}=>10
[5,6,4,3,7,1,2]=>[7,1,4,6,5,3,2]=>[3,1,7,4,6,5,2]=>{{1,3,7},{2},{4},{5,6}}=>8
[5,6,4,3,7,2,1]=>[2,7,4,6,5,3,1]=>[1,2,7,4,6,5,3]=>{{1},{2},{3,7},{4},{5,6}}=>10
[5,6,4,7,1,2,3]=>[7,1,2,6,5,4,3]=>[3,4,1,7,6,5,2]=>{{1,3},{2,4,7},{5,6}}=>5
[5,6,4,7,1,3,2]=>[7,3,1,6,5,4,2]=>[4,1,3,7,6,5,2]=>{{1,4,7},{2},{3},{5,6}}=>7
[5,6,4,7,2,1,3]=>[2,7,1,6,5,4,3]=>[4,2,1,7,6,5,3]=>{{1,4,7},{2},{3},{5,6}}=>7
[5,6,4,7,2,3,1]=>[3,7,2,6,5,4,1]=>[1,4,2,7,6,5,3]=>{{1},{2,4,7},{3},{5,6}}=>7
[5,6,4,7,3,1,2]=>[3,1,7,6,5,4,2]=>[3,1,2,7,6,5,4]=>{{1,3},{2},{4,7},{5,6}}=>8
[5,6,4,7,3,2,1]=>[2,3,7,6,5,4,1]=>[1,2,3,7,6,5,4]=>{{1},{2},{3},{4,7},{5,6}}=>10
[5,6,7,1,2,3,4]=>[7,1,2,3,5,6,4]=>[3,4,5,1,6,7,2]=>{{1,3,5,6,7},{2,4}}=>1
[5,6,7,1,2,4,3]=>[7,1,4,2,5,6,3]=>[3,5,1,4,6,7,2]=>{{1,3},{2,5,6,7},{4}}=>4
[5,6,7,1,3,2,4]=>[7,3,1,2,5,6,4]=>[4,5,3,1,6,7,2]=>{{1,4},{2,5,6,7},{3}}=>3
[5,6,7,1,3,4,2]=>[7,4,1,3,5,6,2]=>[4,1,5,3,6,7,2]=>{{1,4},{2},{3,5,6,7}}=>3
[5,6,7,1,4,2,3]=>[7,4,2,1,5,6,3]=>[5,4,1,3,6,7,2]=>{{1,5,6,7},{2,4},{3}}=>3
[5,6,7,1,4,3,2]=>[7,3,4,1,5,6,2]=>[5,1,3,4,6,7,2]=>{{1,5,6,7},{2},{3},{4}}=>6
[5,6,7,2,1,3,4]=>[2,7,1,3,5,6,4]=>[4,2,5,1,6,7,3]=>{{1,4},{2},{3,5,6,7}}=>3
[5,6,7,2,1,4,3]=>[2,7,4,1,5,6,3]=>[5,2,1,4,6,7,3]=>{{1,5,6,7},{2},{3},{4}}=>6
[5,6,7,2,3,1,4]=>[3,7,2,1,5,6,4]=>[5,4,2,1,6,7,3]=>{{1,5,6,7},{2,4},{3}}=>3
[5,6,7,2,3,4,1]=>[4,7,2,3,5,6,1]=>[1,4,5,2,6,7,3]=>{{1},{2,4},{3,5,6,7}}=>3
[5,6,7,2,4,1,3]=>[4,7,1,2,5,6,3]=>[4,5,1,2,6,7,3]=>{{1,4},{2,5,6,7},{3}}=>3
[5,6,7,2,4,3,1]=>[3,4,7,1,5,6,2]=>[5,1,2,3,6,7,4]=>{{1,5,6,7},{2},{3},{4}}=>6
[5,6,7,3,1,2,4]=>[3,1,7,2,5,6,4]=>[3,5,2,1,6,7,4]=>{{1,3},{2,5,6,7},{4}}=>4
[5,6,7,3,1,4,2]=>[3,7,4,2,5,6,1]=>[1,5,2,4,6,7,3]=>{{1},{2,5,6,7},{3},{4}}=>6
[5,6,7,3,2,1,4]=>[2,3,7,1,5,6,4]=>[5,2,3,1,6,7,4]=>{{1,5,6,7},{2},{3},{4}}=>6
[5,6,7,3,2,4,1]=>[4,3,7,2,5,6,1]=>[1,5,3,2,6,7,4]=>{{1},{2,5,6,7},{3},{4}}=>6
[5,6,7,3,4,1,2]=>[4,1,7,3,5,6,2]=>[3,1,5,2,6,7,4]=>{{1,3,5,6,7},{2},{4}}=>4
[5,6,7,3,4,2,1]=>[2,4,7,3,5,6,1]=>[1,2,5,3,6,7,4]=>{{1},{2},{3,5,6,7},{4}}=>6
[5,6,7,4,1,2,3]=>[4,1,2,7,5,6,3]=>[3,4,1,2,6,7,5]=>{{1,3},{2,4},{5,6,7}}=>5
[5,6,7,4,1,3,2]=>[4,3,1,7,5,6,2]=>[4,1,3,2,6,7,5]=>{{1,4},{2},{3},{5,6,7}}=>7
[5,6,7,4,2,1,3]=>[2,4,1,7,5,6,3]=>[4,2,1,3,6,7,5]=>{{1,4},{2},{3},{5,6,7}}=>7
[5,6,7,4,2,3,1]=>[3,4,2,7,5,6,1]=>[1,4,2,3,6,7,5]=>{{1},{2,4},{3},{5,6,7}}=>7
[5,6,7,4,3,1,2]=>[3,1,4,7,5,6,2]=>[3,1,2,4,6,7,5]=>{{1,3},{2},{4},{5,6,7}}=>8
[5,6,7,4,3,2,1]=>[2,3,4,7,5,6,1]=>[1,2,3,4,6,7,5]=>{{1},{2},{3},{4},{5,6,7}}=>10
[5,7,1,2,3,4,6]=>[7,1,2,3,5,4,6]=>[3,4,5,7,6,1,2]=>{{1,3,5,6},{2,4,7}}=>1
[5,7,1,2,3,6,4]=>[7,1,2,6,5,3,4]=>[3,4,7,1,6,5,2]=>{{1,3,7},{2,4},{5,6}}=>5
[5,7,1,2,4,3,6]=>[7,1,4,2,5,3,6]=>[3,5,7,4,6,1,2]=>{{1,3,7},{2,5,6},{4}}=>4
[5,7,1,2,4,6,3]=>[7,1,6,2,5,4,3]=>[3,5,1,7,6,4,2]=>{{1,3},{2,5,6},{4,7}}=>4
[5,7,1,2,6,3,4]=>[7,1,6,3,5,2,4]=>[3,7,5,1,6,4,2]=>{{1,3,5,6},{2,7},{4}}=>4
[5,7,1,2,6,4,3]=>[7,1,4,6,5,2,3]=>[3,7,1,4,6,5,2]=>{{1,3},{2,7},{4},{5,6}}=>8
[5,7,1,3,2,4,6]=>[7,3,1,2,5,4,6]=>[4,5,3,7,6,1,2]=>{{1,4,7},{2,5,6},{3}}=>3
[5,7,1,3,2,6,4]=>[7,3,1,6,5,2,4]=>[4,7,3,1,6,5,2]=>{{1,4},{2,7},{3},{5,6}}=>7
[5,7,1,3,4,2,6]=>[7,4,1,3,5,2,6]=>[4,7,5,3,6,1,2]=>{{1,4},{2,7},{3,5,6}}=>3
[5,7,1,3,4,6,2]=>[7,6,1,2,5,3,4]=>[4,5,7,1,6,3,2]=>{{1,4},{2,5,6},{3,7}}=>3
[5,7,1,3,6,2,4]=>[7,6,1,3,5,4,2]=>[4,1,5,7,6,3,2]=>{{1,4,7},{2},{3,5,6}}=>3
[5,7,1,3,6,4,2]=>[7,4,1,6,5,3,2]=>[4,1,7,3,6,5,2]=>{{1,4},{2},{3,7},{5,6}}=>7
[5,7,1,4,2,3,6]=>[7,4,2,1,5,3,6]=>[5,4,7,3,6,1,2]=>{{1,5,6},{2,4},{3,7}}=>3
[5,7,1,4,2,6,3]=>[7,4,6,1,5,2,3]=>[5,7,1,3,6,4,2]=>{{1,5,6},{2,7},{3},{4}}=>6
[5,7,1,4,3,2,6]=>[7,3,4,1,5,2,6]=>[5,7,3,4,6,1,2]=>{{1,5,6},{2,7},{3},{4}}=>6
[5,7,1,4,3,6,2]=>[7,6,4,1,5,3,2]=>[5,1,7,4,6,3,2]=>{{1,5,6},{2},{3,7},{4}}=>6
[5,7,1,4,6,2,3]=>[7,6,2,1,5,4,3]=>[5,4,1,7,6,3,2]=>{{1,5,6},{2,4,7},{3}}=>3
[5,7,1,4,6,3,2]=>[7,3,6,1,5,4,2]=>[5,1,3,7,6,4,2]=>{{1,5,6},{2},{3},{4,7}}=>6
[5,7,1,6,2,3,4]=>[7,6,2,3,5,1,4]=>[7,4,5,1,6,3,2]=>{{1,7},{2,4},{3,5,6}}=>3
[5,7,1,6,2,4,3]=>[7,6,4,2,5,1,3]=>[7,5,1,4,6,3,2]=>{{1,7},{2,5,6},{3},{4}}=>6
[5,7,1,6,3,2,4]=>[7,3,6,2,5,1,4]=>[7,5,3,1,6,4,2]=>{{1,7},{2,5,6},{3},{4}}=>6
[5,7,1,6,3,4,2]=>[7,4,6,3,5,1,2]=>[7,1,5,3,6,4,2]=>{{1,7},{2},{3,5,6},{4}}=>6
[5,7,1,6,4,2,3]=>[7,4,2,6,5,1,3]=>[7,4,1,3,6,5,2]=>{{1,7},{2,4},{3},{5,6}}=>7
[5,7,1,6,4,3,2]=>[7,3,4,6,5,1,2]=>[7,1,3,4,6,5,2]=>{{1,7},{2},{3},{4},{5,6}}=>10
[5,7,2,1,3,4,6]=>[2,7,1,3,5,4,6]=>[4,2,5,7,6,1,3]=>{{1,4,7},{2},{3,5,6}}=>3
[5,7,2,1,3,6,4]=>[2,7,1,6,5,3,4]=>[4,2,7,1,6,5,3]=>{{1,4},{2},{3,7},{5,6}}=>7
[5,7,2,1,4,3,6]=>[2,7,4,1,5,3,6]=>[5,2,7,4,6,1,3]=>{{1,5,6},{2},{3,7},{4}}=>6
[5,7,2,1,4,6,3]=>[2,7,6,1,5,4,3]=>[5,2,1,7,6,4,3]=>{{1,5,6},{2},{3},{4,7}}=>6
[5,7,2,1,6,3,4]=>[2,7,6,3,5,1,4]=>[7,2,5,1,6,4,3]=>{{1,7},{2},{3,5,6},{4}}=>6
[5,7,2,1,6,4,3]=>[2,7,4,6,5,1,3]=>[7,2,1,4,6,5,3]=>{{1,7},{2},{3},{4},{5,6}}=>10
[5,7,2,3,1,4,6]=>[3,7,2,1,5,4,6]=>[5,4,2,7,6,1,3]=>{{1,5,6},{2,4,7},{3}}=>3
[5,7,2,3,1,6,4]=>[3,7,2,6,5,1,4]=>[7,4,2,1,6,5,3]=>{{1,7},{2,4},{3},{5,6}}=>7
[5,7,2,3,4,1,6]=>[4,7,2,3,5,1,6]=>[7,4,5,2,6,1,3]=>{{1,7},{2,4},{3,5,6}}=>3
[5,7,2,3,4,6,1]=>[6,7,2,3,5,4,1]=>[1,4,5,7,6,2,3]=>{{1},{2,4,7},{3,5,6}}=>3
[5,7,2,3,6,1,4]=>[6,7,2,1,5,3,4]=>[5,4,7,1,6,2,3]=>{{1,5,6},{2,4},{3,7}}=>3
[5,7,2,3,6,4,1]=>[4,6,2,7,5,1,3]=>[7,4,1,2,6,3,5]=>{{1,7},{2,4},{3},{5,6}}=>7
[5,7,2,4,1,3,6]=>[4,7,1,2,5,3,6]=>[4,5,7,2,6,1,3]=>{{1,4},{2,5,6},{3,7}}=>3
[5,7,2,4,1,6,3]=>[4,7,6,2,5,1,3]=>[7,5,1,2,6,4,3]=>{{1,7},{2,5,6},{3},{4}}=>6
[5,7,2,4,3,1,6]=>[3,4,7,1,5,2,6]=>[5,7,2,3,6,1,4]=>{{1,5,6},{2,7},{3},{4}}=>6
[5,7,2,4,3,6,1]=>[6,7,4,2,5,3,1]=>[1,5,7,4,6,2,3]=>{{1},{2,5,6},{3,7},{4}}=>6
[5,7,2,4,6,1,3]=>[6,7,1,3,5,2,4]=>[4,7,5,1,6,2,3]=>{{1,4},{2,7},{3,5,6}}=>3
[5,7,2,4,6,3,1]=>[3,6,7,2,5,1,4]=>[7,5,2,1,6,3,4]=>{{1,7},{2,5,6},{3},{4}}=>6
[5,7,2,6,1,3,4]=>[6,7,1,2,5,4,3]=>[4,5,1,7,6,2,3]=>{{1,4,7},{2,5,6},{3}}=>3
[5,7,2,6,1,4,3]=>[6,7,4,1,5,2,3]=>[5,7,1,4,6,2,3]=>{{1,5,6},{2,7},{3},{4}}=>6
[5,7,2,6,3,1,4]=>[3,6,7,1,5,4,2]=>[5,1,2,7,6,3,4]=>{{1,5,6},{2},{3},{4,7}}=>6
[5,7,2,6,3,4,1]=>[4,7,6,3,5,2,1]=>[1,7,5,2,6,4,3]=>{{1},{2,7},{3,5,6},{4}}=>6
[5,7,2,6,4,1,3]=>[4,6,1,7,5,3,2]=>[4,1,7,2,6,3,5]=>{{1,4},{2},{3,7},{5,6}}=>7
[5,7,2,6,4,3,1]=>[3,4,6,7,5,2,1]=>[1,7,2,3,6,4,5]=>{{1},{2,7},{3},{4},{5,6}}=>10
[5,7,3,1,2,4,6]=>[3,1,7,2,5,4,6]=>[3,5,2,7,6,1,4]=>{{1,3},{2,5,6},{4,7}}=>4
[5,7,3,1,2,6,4]=>[3,1,7,6,5,2,4]=>[3,7,2,1,6,5,4]=>{{1,3},{2,7},{4},{5,6}}=>8
[5,7,3,1,4,2,6]=>[3,7,4,2,5,1,6]=>[7,5,2,4,6,1,3]=>{{1,7},{2,5,6},{3},{4}}=>6
[5,7,3,1,4,6,2]=>[3,7,6,1,5,2,4]=>[5,7,2,1,6,4,3]=>{{1,5,6},{2,7},{3},{4}}=>6
[5,7,3,1,6,2,4]=>[3,7,6,2,5,4,1]=>[1,5,2,7,6,4,3]=>{{1},{2,5,6},{3},{4,7}}=>6
[5,7,3,1,6,4,2]=>[3,7,4,6,5,2,1]=>[1,7,2,4,6,5,3]=>{{1},{2,7},{3},{4},{5,6}}=>10
[5,7,3,2,1,4,6]=>[2,3,7,1,5,4,6]=>[5,2,3,7,6,1,4]=>{{1,5,6},{2},{3},{4,7}}=>6
[5,7,3,2,1,6,4]=>[2,3,7,6,5,1,4]=>[7,2,3,1,6,5,4]=>{{1,7},{2},{3},{4},{5,6}}=>10
[5,7,3,2,4,1,6]=>[4,3,7,2,5,1,6]=>[7,5,3,2,6,1,4]=>{{1,7},{2,5,6},{3},{4}}=>6
[5,7,3,2,4,6,1]=>[6,3,7,2,5,4,1]=>[1,5,3,7,6,2,4]=>{{1},{2,5,6},{3},{4,7}}=>6
[5,7,3,2,6,1,4]=>[6,3,7,1,5,2,4]=>[5,7,3,1,6,2,4]=>{{1,5,6},{2,7},{3},{4}}=>6
[5,7,3,2,6,4,1]=>[4,3,6,7,5,1,2]=>[7,1,3,2,6,4,5]=>{{1,7},{2},{3},{4},{5,6}}=>10
[5,7,3,4,1,2,6]=>[4,1,7,3,5,2,6]=>[3,7,5,2,6,1,4]=>{{1,3,5,6},{2,7},{4}}=>4
[5,7,3,4,1,6,2]=>[4,6,7,3,5,1,2]=>[7,1,5,2,6,3,4]=>{{1,7},{2},{3,5,6},{4}}=>6
[5,7,3,4,2,1,6]=>[2,4,7,3,5,1,6]=>[7,2,5,3,6,1,4]=>{{1,7},{2},{3,5,6},{4}}=>6
[5,7,3,4,2,6,1]=>[6,4,7,3,5,2,1]=>[1,7,5,3,6,2,4]=>{{1},{2,7},{3,5,6},{4}}=>6
[5,7,3,4,6,1,2]=>[6,1,7,3,5,4,2]=>[3,1,5,7,6,2,4]=>{{1,3,5,6},{2},{4,7}}=>4
[5,7,3,4,6,2,1]=>[2,6,7,3,5,4,1]=>[1,2,5,7,6,3,4]=>{{1},{2},{3,5,6},{4,7}}=>6
[5,7,3,6,1,2,4]=>[6,1,7,2,5,3,4]=>[3,5,7,1,6,2,4]=>{{1,3,7},{2,5,6},{4}}=>4
[5,7,3,6,1,4,2]=>[6,4,7,1,5,3,2]=>[5,1,7,3,6,2,4]=>{{1,5,6},{2},{3,7},{4}}=>6
[5,7,3,6,2,1,4]=>[2,6,7,1,5,3,4]=>[5,2,7,1,6,3,4]=>{{1,5,6},{2},{3,7},{4}}=>6
[5,7,3,6,2,4,1]=>[4,6,7,2,5,3,1]=>[1,5,7,2,6,3,4]=>{{1},{2,5,6},{3,7},{4}}=>6
[5,7,3,6,4,1,2]=>[4,1,6,7,5,2,3]=>[3,7,1,2,6,4,5]=>{{1,3},{2,7},{4},{5,6}}=>8
[5,7,3,6,4,2,1]=>[2,4,6,7,5,1,3]=>[7,2,1,3,6,4,5]=>{{1,7},{2},{3},{4},{5,6}}=>10
[5,7,4,1,2,3,6]=>[4,1,2,7,5,3,6]=>[3,4,7,2,6,1,5]=>{{1,3,7},{2,4},{5,6}}=>5
[5,7,4,1,2,6,3]=>[4,1,7,6,5,3,2]=>[3,1,7,2,6,5,4]=>{{1,3,7},{2},{4},{5,6}}=>8
[5,7,4,1,3,2,6]=>[4,3,1,7,5,2,6]=>[4,7,3,2,6,1,5]=>{{1,4},{2,7},{3},{5,6}}=>7
[5,7,4,1,3,6,2]=>[4,7,1,6,5,2,3]=>[4,7,1,2,6,5,3]=>{{1,4},{2,7},{3},{5,6}}=>7
[5,7,4,1,6,2,3]=>[4,7,2,6,5,3,1]=>[1,4,7,2,6,5,3]=>{{1},{2,4},{3,7},{5,6}}=>7
[5,7,4,1,6,3,2]=>[4,3,7,6,5,2,1]=>[1,7,3,2,6,5,4]=>{{1},{2,7},{3},{4},{5,6}}=>10
[5,7,4,2,1,3,6]=>[2,4,1,7,5,3,6]=>[4,2,7,3,6,1,5]=>{{1,4},{2},{3,7},{5,6}}=>7
[5,7,4,2,1,6,3]=>[2,4,7,6,5,3,1]=>[1,2,7,3,6,5,4]=>{{1},{2},{3,7},{4},{5,6}}=>10
[5,7,4,2,3,1,6]=>[3,4,2,7,5,1,6]=>[7,4,2,3,6,1,5]=>{{1,7},{2,4},{3},{5,6}}=>7
[5,7,4,2,3,6,1]=>[6,4,2,7,5,3,1]=>[1,4,7,3,6,2,5]=>{{1},{2,4},{3,7},{5,6}}=>7
[5,7,4,2,6,1,3]=>[6,4,1,7,5,2,3]=>[4,7,1,3,6,2,5]=>{{1,4},{2,7},{3},{5,6}}=>7
[5,7,4,2,6,3,1]=>[3,6,4,7,5,1,2]=>[7,1,2,4,6,3,5]=>{{1,7},{2},{3},{4},{5,6}}=>10
[5,7,4,3,1,2,6]=>[3,1,4,7,5,2,6]=>[3,7,2,4,6,1,5]=>{{1,3},{2,7},{4},{5,6}}=>8
[5,7,4,3,1,6,2]=>[3,4,7,6,5,1,2]=>[7,1,2,3,6,5,4]=>{{1,7},{2},{3},{4},{5,6}}=>10
[5,7,4,3,2,1,6]=>[2,3,4,7,5,1,6]=>[7,2,3,4,6,1,5]=>{{1,7},{2},{3},{4},{5,6}}=>10
[5,7,4,3,2,6,1]=>[6,3,4,7,5,2,1]=>[1,7,3,4,6,2,5]=>{{1},{2,7},{3},{4},{5,6}}=>10
[5,7,4,3,6,1,2]=>[6,1,4,7,5,3,2]=>[3,1,7,4,6,2,5]=>{{1,3,7},{2},{4},{5,6}}=>8
[5,7,4,3,6,2,1]=>[2,6,4,7,5,3,1]=>[1,2,7,4,6,3,5]=>{{1},{2},{3,7},{4},{5,6}}=>10
[5,7,4,6,1,2,3]=>[6,1,2,7,5,4,3]=>[3,4,1,7,6,2,5]=>{{1,3},{2,4,7},{5,6}}=>5
[5,7,4,6,1,3,2]=>[6,3,1,7,5,4,2]=>[4,1,3,7,6,2,5]=>{{1,4,7},{2},{3},{5,6}}=>7
[5,7,4,6,2,1,3]=>[2,6,1,7,5,4,3]=>[4,2,1,7,6,3,5]=>{{1,4,7},{2},{3},{5,6}}=>7
[5,7,4,6,2,3,1]=>[3,6,2,7,5,4,1]=>[1,4,2,7,6,3,5]=>{{1},{2,4,7},{3},{5,6}}=>7
[5,7,4,6,3,1,2]=>[3,1,6,7,5,4,2]=>[3,1,2,7,6,4,5]=>{{1,3},{2},{4,7},{5,6}}=>8
[5,7,4,6,3,2,1]=>[2,3,6,7,5,4,1]=>[1,2,3,7,6,4,5]=>{{1},{2},{3},{4,7},{5,6}}=>10
[5,7,6,1,2,3,4]=>[6,1,2,3,5,7,4]=>[3,4,5,1,6,2,7]=>{{1,3,5,6},{2,4},{7}}=>7
[5,7,6,1,2,4,3]=>[6,1,4,2,5,7,3]=>[3,5,1,4,6,2,7]=>{{1,3},{2,5,6},{4},{7}}=>10
[5,7,6,1,3,2,4]=>[6,3,1,2,5,7,4]=>[4,5,3,1,6,2,7]=>{{1,4},{2,5,6},{3},{7}}=>9
[5,7,6,1,3,4,2]=>[6,4,1,3,5,7,2]=>[4,1,5,3,6,2,7]=>{{1,4},{2},{3,5,6},{7}}=>9
[5,7,6,1,4,2,3]=>[6,4,2,1,5,7,3]=>[5,4,1,3,6,2,7]=>{{1,5,6},{2,4},{3},{7}}=>9
[5,7,6,1,4,3,2]=>[6,3,4,1,5,7,2]=>[5,1,3,4,6,2,7]=>{{1,5,6},{2},{3},{4},{7}}=>12
[5,7,6,2,1,3,4]=>[2,6,1,3,5,7,4]=>[4,2,5,1,6,3,7]=>{{1,4},{2},{3,5,6},{7}}=>9
[5,7,6,2,1,4,3]=>[2,6,4,1,5,7,3]=>[5,2,1,4,6,3,7]=>{{1,5,6},{2},{3},{4},{7}}=>12
[5,7,6,2,3,1,4]=>[3,6,2,1,5,7,4]=>[5,4,2,1,6,3,7]=>{{1,5,6},{2,4},{3},{7}}=>9
[5,7,6,2,3,4,1]=>[4,6,2,3,5,7,1]=>[1,4,5,2,6,3,7]=>{{1},{2,4},{3,5,6},{7}}=>9
[5,7,6,2,4,1,3]=>[4,6,1,2,5,7,3]=>[4,5,1,2,6,3,7]=>{{1,4},{2,5,6},{3},{7}}=>9
[5,7,6,2,4,3,1]=>[3,4,6,1,5,7,2]=>[5,1,2,3,6,4,7]=>{{1,5,6},{2},{3},{4},{7}}=>12
[5,7,6,3,1,2,4]=>[3,1,6,2,5,7,4]=>[3,5,2,1,6,4,7]=>{{1,3},{2,5,6},{4},{7}}=>10
[5,7,6,3,1,4,2]=>[3,6,4,2,5,7,1]=>[1,5,2,4,6,3,7]=>{{1},{2,5,6},{3},{4},{7}}=>12
[5,7,6,3,2,1,4]=>[2,3,6,1,5,7,4]=>[5,2,3,1,6,4,7]=>{{1,5,6},{2},{3},{4},{7}}=>12
[5,7,6,3,2,4,1]=>[4,3,6,2,5,7,1]=>[1,5,3,2,6,4,7]=>{{1},{2,5,6},{3},{4},{7}}=>12
[5,7,6,3,4,1,2]=>[4,1,6,3,5,7,2]=>[3,1,5,2,6,4,7]=>{{1,3,5,6},{2},{4},{7}}=>10
[5,7,6,3,4,2,1]=>[2,4,6,3,5,7,1]=>[1,2,5,3,6,4,7]=>{{1},{2},{3,5,6},{4},{7}}=>12
[5,7,6,4,1,2,3]=>[4,1,2,6,5,7,3]=>[3,4,1,2,6,5,7]=>{{1,3},{2,4},{5,6},{7}}=>11
[5,7,6,4,1,3,2]=>[4,3,1,6,5,7,2]=>[4,1,3,2,6,5,7]=>{{1,4},{2},{3},{5,6},{7}}=>13
[5,7,6,4,2,1,3]=>[2,4,1,6,5,7,3]=>[4,2,1,3,6,5,7]=>{{1,4},{2},{3},{5,6},{7}}=>13
[5,7,6,4,2,3,1]=>[3,4,2,6,5,7,1]=>[1,4,2,3,6,5,7]=>{{1},{2,4},{3},{5,6},{7}}=>13
[5,7,6,4,3,1,2]=>[3,1,4,6,5,7,2]=>[3,1,2,4,6,5,7]=>{{1,3},{2},{4},{5,6},{7}}=>14
[5,7,6,4,3,2,1]=>[2,3,4,6,5,7,1]=>[1,2,3,4,6,5,7]=>{{1},{2},{3},{4},{5,6},{7}}=>16
[6,1,2,3,4,5,7]=>[6,1,2,3,4,5,7]=>[3,4,5,6,7,2,1]=>{{1,3,5,7},{2,4,6}}=>1
[6,1,2,3,4,7,5]=>[6,1,2,3,7,4,5]=>[3,4,5,7,1,2,6]=>{{1,3,5},{2,4,7},{6}}=>6
[6,1,2,3,5,4,7]=>[6,1,2,5,3,4,7]=>[3,4,6,7,5,2,1]=>{{1,3,6},{2,4,7},{5}}=>5
[6,1,2,3,5,7,4]=>[6,1,2,7,3,5,4]=>[3,4,6,1,7,2,5]=>{{1,3,6},{2,4},{5,7}}=>5
[6,1,2,3,7,4,5]=>[6,1,2,7,4,3,5]=>[3,4,7,6,1,2,5]=>{{1,3,7},{2,4,6},{5}}=>5
[6,1,2,3,7,5,4]=>[6,1,2,5,7,3,4]=>[3,4,7,1,5,2,6]=>{{1,3,7},{2,4},{5},{6}}=>10
[6,1,2,4,3,5,7]=>[6,1,4,2,3,5,7]=>[3,5,6,4,7,2,1]=>{{1,3,6},{2,5,7},{4}}=>4
[6,1,2,4,3,7,5]=>[6,1,4,2,7,3,5]=>[3,5,7,4,1,2,6]=>{{1,3,7},{2,5},{4},{6}}=>9
[6,1,2,4,5,3,7]=>[6,1,5,2,4,3,7]=>[3,5,7,6,4,2,1]=>{{1,3,7},{2,5},{4,6}}=>4
[6,1,2,4,5,7,3]=>[6,1,7,2,3,4,5]=>[3,5,6,7,1,2,4]=>{{1,3,6},{2,5},{4,7}}=>4
[6,1,2,4,7,3,5]=>[6,1,7,2,4,5,3]=>[3,5,1,6,7,2,4]=>{{1,3},{2,5,7},{4,6}}=>4
[6,1,2,4,7,5,3]=>[6,1,5,2,7,4,3]=>[3,5,1,7,4,2,6]=>{{1,3},{2,5},{4,7},{6}}=>9
[6,1,2,5,3,4,7]=>[6,1,5,3,2,4,7]=>[3,6,5,7,4,2,1]=>{{1,3,5},{2,6},{4,7}}=>4
[6,1,2,5,3,7,4]=>[6,1,5,7,2,3,4]=>[3,6,7,1,4,2,5]=>{{1,3,7},{2,6},{4},{5}}=>8
[6,1,2,5,4,3,7]=>[6,1,4,5,2,3,7]=>[3,6,7,4,5,2,1]=>{{1,3,7},{2,6},{4},{5}}=>8
[6,1,2,5,4,7,3]=>[6,1,7,5,2,4,3]=>[3,6,1,7,5,2,4]=>{{1,3},{2,6},{4,7},{5}}=>8
[6,1,2,5,7,3,4]=>[6,1,7,3,2,5,4]=>[3,6,5,1,7,2,4]=>{{1,3,5,7},{2,6},{4}}=>4
[6,1,2,5,7,4,3]=>[6,1,4,7,2,5,3]=>[3,6,1,4,7,2,5]=>{{1,3},{2,6},{4},{5,7}}=>8
[6,1,2,7,3,4,5]=>[6,1,7,3,4,2,5]=>[3,7,5,6,1,2,4]=>{{1,3,5},{2,7},{4,6}}=>4
[6,1,2,7,3,5,4]=>[6,1,7,5,3,2,4]=>[3,7,6,1,5,2,4]=>{{1,3,6},{2,7},{4},{5}}=>8
[6,1,2,7,4,3,5]=>[6,1,4,7,3,2,5]=>[3,7,6,4,1,2,5]=>{{1,3,6},{2,7},{4},{5}}=>8
[6,1,2,7,4,5,3]=>[6,1,5,7,4,2,3]=>[3,7,1,6,4,2,5]=>{{1,3},{2,7},{4,6},{5}}=>8
[6,1,2,7,5,3,4]=>[6,1,5,3,7,2,4]=>[3,7,5,1,4,2,6]=>{{1,3,5},{2,7},{4},{6}}=>9
[6,1,2,7,5,4,3]=>[6,1,4,5,7,2,3]=>[3,7,1,4,5,2,6]=>{{1,3},{2,7},{4},{5},{6}}=>13
[6,1,3,2,4,5,7]=>[6,3,1,2,4,5,7]=>[4,5,3,6,7,2,1]=>{{1,4,6},{2,5,7},{3}}=>3
[6,1,3,2,4,7,5]=>[6,3,1,2,7,4,5]=>[4,5,3,7,1,2,6]=>{{1,4,7},{2,5},{3},{6}}=>8
[6,1,3,2,5,4,7]=>[6,3,1,5,2,4,7]=>[4,6,3,7,5,2,1]=>{{1,4,7},{2,6},{3},{5}}=>7
[6,1,3,2,5,7,4]=>[6,3,1,7,2,5,4]=>[4,6,3,1,7,2,5]=>{{1,4},{2,6},{3},{5,7}}=>7
[6,1,3,2,7,4,5]=>[6,3,1,7,4,2,5]=>[4,7,3,6,1,2,5]=>{{1,4,6},{2,7},{3},{5}}=>7
[6,1,3,2,7,5,4]=>[6,3,1,5,7,2,4]=>[4,7,3,1,5,2,6]=>{{1,4},{2,7},{3},{5},{6}}=>12
[6,1,3,4,2,5,7]=>[6,4,1,3,2,5,7]=>[4,6,5,3,7,2,1]=>{{1,4},{2,6},{3,5,7}}=>3
[6,1,3,4,2,7,5]=>[6,4,1,3,7,2,5]=>[4,7,5,3,1,2,6]=>{{1,4},{2,7},{3,5},{6}}=>8
[6,1,3,4,5,2,7]=>[6,5,1,2,3,4,7]=>[4,5,6,7,3,2,1]=>{{1,4,7},{2,5},{3,6}}=>3
[6,1,3,4,5,7,2]=>[6,7,1,2,3,5,4]=>[4,5,6,1,7,2,3]=>{{1,4},{2,5,7},{3,6}}=>3
[6,1,3,4,7,2,5]=>[6,7,1,2,4,3,5]=>[4,5,7,6,1,2,3]=>{{1,4,6},{2,5},{3,7}}=>3
[6,1,3,4,7,5,2]=>[6,5,1,2,7,3,4]=>[4,5,7,1,3,2,6]=>{{1,4},{2,5},{3,7},{6}}=>8
[6,1,3,5,2,4,7]=>[6,5,1,3,4,2,7]=>[4,7,5,6,3,2,1]=>{{1,4,6},{2,7},{3,5}}=>3
[6,1,3,5,2,7,4]=>[6,5,1,7,3,2,4]=>[4,7,6,1,3,2,5]=>{{1,4},{2,7},{3,6},{5}}=>7
[6,1,3,5,4,2,7]=>[6,4,1,5,3,2,7]=>[4,7,6,3,5,2,1]=>{{1,4},{2,7},{3,6},{5}}=>7
[6,1,3,5,4,7,2]=>[6,7,1,5,2,3,4]=>[4,6,7,1,5,2,3]=>{{1,4},{2,6},{3,7},{5}}=>7
[6,1,3,5,7,2,4]=>[6,7,1,3,2,4,5]=>[4,6,5,7,1,2,3]=>{{1,4,7},{2,6},{3,5}}=>3
[6,1,3,5,7,4,2]=>[6,4,1,7,2,3,5]=>[4,6,7,3,1,2,5]=>{{1,4},{2,6},{3,7},{5}}=>7
[6,1,3,7,2,4,5]=>[6,7,1,3,4,5,2]=>[4,1,5,6,7,2,3]=>{{1,4,6},{2},{3,5,7}}=>3
[6,1,3,7,2,5,4]=>[6,7,1,5,3,4,2]=>[4,1,6,7,5,2,3]=>{{1,4,7},{2},{3,6},{5}}=>7
[6,1,3,7,4,2,5]=>[6,4,1,7,3,5,2]=>[4,1,6,3,7,2,5]=>{{1,4},{2},{3,6},{5,7}}=>7
[6,1,3,7,4,5,2]=>[6,5,1,7,4,3,2]=>[4,1,7,6,3,2,5]=>{{1,4,6},{2},{3,7},{5}}=>7
[6,1,3,7,5,2,4]=>[6,5,1,3,7,4,2]=>[4,1,5,7,3,2,6]=>{{1,4,7},{2},{3,5},{6}}=>8
[6,1,3,7,5,4,2]=>[6,4,1,5,7,3,2]=>[4,1,7,3,5,2,6]=>{{1,4},{2},{3,7},{5},{6}}=>12
[6,1,4,2,3,5,7]=>[6,4,2,1,3,5,7]=>[5,4,6,3,7,2,1]=>{{1,5,7},{2,4},{3,6}}=>3
[6,1,4,2,3,7,5]=>[6,4,2,1,7,3,5]=>[5,4,7,3,1,2,6]=>{{1,5},{2,4},{3,7},{6}}=>8
[6,1,4,2,5,3,7]=>[6,4,5,1,2,3,7]=>[5,6,7,3,4,2,1]=>{{1,5},{2,6},{3,7},{4}}=>6
[6,1,4,2,5,7,3]=>[6,4,7,1,2,5,3]=>[5,6,1,3,7,2,4]=>{{1,5,7},{2,6},{3},{4}}=>6
[6,1,4,2,7,3,5]=>[6,4,7,1,3,2,5]=>[5,7,6,3,1,2,4]=>{{1,5},{2,7},{3,6},{4}}=>6
[6,1,4,2,7,5,3]=>[6,4,5,1,7,2,3]=>[5,7,1,3,4,2,6]=>{{1,5},{2,7},{3},{4},{6}}=>11
[6,1,4,3,2,5,7]=>[6,3,4,1,2,5,7]=>[5,6,3,4,7,2,1]=>{{1,5,7},{2,6},{3},{4}}=>6
[6,1,4,3,2,7,5]=>[6,3,4,1,7,2,5]=>[5,7,3,4,1,2,6]=>{{1,5},{2,7},{3},{4},{6}}=>11
[6,1,4,3,5,2,7]=>[6,5,4,1,3,2,7]=>[5,7,6,4,3,2,1]=>{{1,5},{2,7},{3,6},{4}}=>6
[6,1,4,3,5,7,2]=>[6,7,4,1,2,3,5]=>[5,6,7,4,1,2,3]=>{{1,5},{2,6},{3,7},{4}}=>6
[6,1,4,3,7,2,5]=>[6,7,4,1,3,5,2]=>[5,1,6,4,7,2,3]=>{{1,5,7},{2},{3,6},{4}}=>6
[6,1,4,3,7,5,2]=>[6,5,4,1,7,3,2]=>[5,1,7,4,3,2,6]=>{{1,5},{2},{3,7},{4},{6}}=>11
[6,1,4,5,2,3,7]=>[6,5,2,1,4,3,7]=>[5,4,7,6,3,2,1]=>{{1,5},{2,4,6},{3,7}}=>3
[6,1,4,5,2,7,3]=>[6,5,7,1,3,4,2]=>[5,1,6,7,3,2,4]=>{{1,5},{2},{3,6},{4,7}}=>6
[6,1,4,5,3,2,7]=>[6,3,5,1,4,2,7]=>[5,7,3,6,4,2,1]=>{{1,5},{2,7},{3},{4,6}}=>6
[6,1,4,5,3,7,2]=>[6,7,5,1,2,4,3]=>[5,6,1,7,4,2,3]=>{{1,5},{2,6},{3},{4,7}}=>6
[6,1,4,5,7,2,3]=>[6,7,2,1,3,4,5]=>[5,4,6,7,1,2,3]=>{{1,5},{2,4,7},{3,6}}=>3
[6,1,4,5,7,3,2]=>[6,3,7,1,2,4,5]=>[5,6,3,7,1,2,4]=>{{1,5},{2,6},{3},{4,7}}=>6
[6,1,4,7,2,3,5]=>[6,7,2,1,4,5,3]=>[5,4,1,6,7,2,3]=>{{1,5,7},{2,4,6},{3}}=>3
[6,1,4,7,2,5,3]=>[6,7,5,1,4,3,2]=>[5,1,7,6,4,2,3]=>{{1,5},{2},{3,7},{4,6}}=>6
[6,1,4,7,3,2,5]=>[6,3,7,1,4,5,2]=>[5,1,3,6,7,2,4]=>{{1,5,7},{2},{3},{4,6}}=>6
[6,1,4,7,3,5,2]=>[6,5,7,1,4,2,3]=>[5,7,1,6,3,2,4]=>{{1,5},{2,7},{3},{4,6}}=>6
[6,1,4,7,5,2,3]=>[6,5,2,1,7,4,3]=>[5,4,1,7,3,2,6]=>{{1,5},{2,4,7},{3},{6}}=>8
[6,1,4,7,5,3,2]=>[6,3,5,1,7,4,2]=>[5,1,3,7,4,2,6]=>{{1,5},{2},{3},{4,7},{6}}=>11
[6,1,5,2,3,4,7]=>[6,5,2,3,1,4,7]=>[6,4,5,7,3,2,1]=>{{1,6},{2,4,7},{3,5}}=>3
[6,1,5,2,3,7,4]=>[6,5,2,7,1,3,4]=>[6,4,7,1,3,2,5]=>{{1,6},{2,4},{3,7},{5}}=>7
[6,1,5,2,4,3,7]=>[6,5,4,2,1,3,7]=>[6,5,7,4,3,2,1]=>{{1,6},{2,5},{3,7},{4}}=>6
[6,1,5,2,4,7,3]=>[6,5,7,2,1,4,3]=>[6,5,1,7,3,2,4]=>{{1,6},{2,5},{3},{4,7}}=>6
[6,1,5,2,7,3,4]=>[6,5,7,3,1,2,4]=>[6,7,5,1,3,2,4]=>{{1,6},{2,7},{3,5},{4}}=>6
[6,1,5,2,7,4,3]=>[6,5,4,7,1,2,3]=>[6,7,1,4,3,2,5]=>{{1,6},{2,7},{3},{4},{5}}=>10
[6,1,5,3,2,4,7]=>[6,3,5,2,1,4,7]=>[6,5,3,7,4,2,1]=>{{1,6},{2,5},{3},{4,7}}=>6
[6,1,5,3,2,7,4]=>[6,3,5,7,1,2,4]=>[6,7,3,1,4,2,5]=>{{1,6},{2,7},{3},{4},{5}}=>10
[6,1,5,3,4,2,7]=>[6,4,5,3,1,2,7]=>[6,7,5,3,4,2,1]=>{{1,6},{2,7},{3,5},{4}}=>6
[6,1,5,3,4,7,2]=>[6,7,5,3,1,4,2]=>[6,1,5,7,4,2,3]=>{{1,6},{2},{3,5},{4,7}}=>6
[6,1,5,3,7,2,4]=>[6,7,5,2,1,3,4]=>[6,5,7,1,4,2,3]=>{{1,6},{2,5},{3,7},{4}}=>6
[6,1,5,3,7,4,2]=>[6,4,7,5,1,2,3]=>[6,7,1,3,5,2,4]=>{{1,6},{2,7},{3},{4},{5}}=>10
[6,1,5,4,2,3,7]=>[6,4,2,5,1,3,7]=>[6,4,7,3,5,2,1]=>{{1,6},{2,4},{3,7},{5}}=>7
[6,1,5,4,2,7,3]=>[6,4,5,7,1,3,2]=>[6,1,7,3,4,2,5]=>{{1,6},{2},{3,7},{4},{5}}=>10
[6,1,5,4,3,2,7]=>[6,3,4,5,1,2,7]=>[6,7,3,4,5,2,1]=>{{1,6},{2,7},{3},{4},{5}}=>10
[6,1,5,4,3,7,2]=>[6,7,4,5,1,3,2]=>[6,1,7,4,5,2,3]=>{{1,6},{2},{3,7},{4},{5}}=>10
[6,1,5,4,7,2,3]=>[6,7,2,5,1,4,3]=>[6,4,1,7,5,2,3]=>{{1,6},{2,4,7},{3},{5}}=>7
[6,1,5,4,7,3,2]=>[6,3,7,5,1,4,2]=>[6,1,3,7,5,2,4]=>{{1,6},{2},{3},{4,7},{5}}=>10
[6,1,5,7,2,3,4]=>[6,7,2,3,1,5,4]=>[6,4,5,1,7,2,3]=>{{1,6},{2,4},{3,5,7}}=>3
[6,1,5,7,2,4,3]=>[6,7,4,2,1,5,3]=>[6,5,1,4,7,2,3]=>{{1,6},{2,5,7},{3},{4}}=>6
[6,1,5,7,3,2,4]=>[6,3,7,2,1,5,4]=>[6,5,3,1,7,2,4]=>{{1,6},{2,5,7},{3},{4}}=>6
[6,1,5,7,3,4,2]=>[6,4,7,3,1,5,2]=>[6,1,5,3,7,2,4]=>{{1,6},{2},{3,5,7},{4}}=>6
[6,1,5,7,4,2,3]=>[6,4,2,7,1,5,3]=>[6,4,1,3,7,2,5]=>{{1,6},{2,4},{3},{5,7}}=>7
[6,1,5,7,4,3,2]=>[6,3,4,7,1,5,2]=>[6,1,3,4,7,2,5]=>{{1,6},{2},{3},{4},{5,7}}=>10
[6,1,7,2,3,4,5]=>[6,7,2,3,4,1,5]=>[7,4,5,6,1,2,3]=>{{1,7},{2,4,6},{3,5}}=>3
[6,1,7,2,3,5,4]=>[6,7,2,5,3,1,4]=>[7,4,6,1,5,2,3]=>{{1,7},{2,4},{3,6},{5}}=>7
[6,1,7,2,4,3,5]=>[6,7,4,2,3,1,5]=>[7,5,6,4,1,2,3]=>{{1,7},{2,5},{3,6},{4}}=>6
[6,1,7,2,4,5,3]=>[6,7,5,2,4,1,3]=>[7,5,1,6,4,2,3]=>{{1,7},{2,5},{3},{4,6}}=>6
[6,1,7,2,5,3,4]=>[6,7,5,3,2,1,4]=>[7,6,5,1,4,2,3]=>{{1,7},{2,6},{3,5},{4}}=>6
[6,1,7,2,5,4,3]=>[6,7,4,5,2,1,3]=>[7,6,1,4,5,2,3]=>{{1,7},{2,6},{3},{4},{5}}=>10
[6,1,7,3,2,4,5]=>[6,3,7,2,4,1,5]=>[7,5,3,6,1,2,4]=>{{1,7},{2,5},{3},{4,6}}=>6
[6,1,7,3,2,5,4]=>[6,3,7,5,2,1,4]=>[7,6,3,1,5,2,4]=>{{1,7},{2,6},{3},{4},{5}}=>10
[6,1,7,3,4,2,5]=>[6,4,7,3,2,1,5]=>[7,6,5,3,1,2,4]=>{{1,7},{2,6},{3,5},{4}}=>6
[6,1,7,3,4,5,2]=>[6,5,7,3,4,1,2]=>[7,1,5,6,3,2,4]=>{{1,7},{2},{3,5},{4,6}}=>6
[6,1,7,3,5,2,4]=>[6,5,7,2,3,1,4]=>[7,5,6,1,3,2,4]=>{{1,7},{2,5},{3,6},{4}}=>6
[6,1,7,3,5,4,2]=>[6,4,5,7,2,1,3]=>[7,6,1,3,4,2,5]=>{{1,7},{2,6},{3},{4},{5}}=>10
[6,1,7,4,2,3,5]=>[6,4,2,7,3,1,5]=>[7,4,6,3,1,2,5]=>{{1,7},{2,4},{3,6},{5}}=>7
[6,1,7,4,2,5,3]=>[6,4,7,5,3,1,2]=>[7,1,6,3,5,2,4]=>{{1,7},{2},{3,6},{4},{5}}=>10
[6,1,7,4,3,2,5]=>[6,3,4,7,2,1,5]=>[7,6,3,4,1,2,5]=>{{1,7},{2,6},{3},{4},{5}}=>10
[6,1,7,4,3,5,2]=>[6,5,4,7,3,1,2]=>[7,1,6,4,3,2,5]=>{{1,7},{2},{3,6},{4},{5}}=>10
[6,1,7,4,5,2,3]=>[6,5,2,7,4,1,3]=>[7,4,1,6,3,2,5]=>{{1,7},{2,4,6},{3},{5}}=>7
[6,1,7,4,5,3,2]=>[6,3,5,7,4,1,2]=>[7,1,3,6,4,2,5]=>{{1,7},{2},{3},{4,6},{5}}=>10
[6,1,7,5,2,3,4]=>[6,5,2,3,7,1,4]=>[7,4,5,1,3,2,6]=>{{1,7},{2,4},{3,5},{6}}=>8
[6,1,7,5,2,4,3]=>[6,5,4,2,7,1,3]=>[7,5,1,4,3,2,6]=>{{1,7},{2,5},{3},{4},{6}}=>11
[6,1,7,5,3,2,4]=>[6,3,5,2,7,1,4]=>[7,5,3,1,4,2,6]=>{{1,7},{2,5},{3},{4},{6}}=>11
[6,1,7,5,3,4,2]=>[6,4,5,3,7,1,2]=>[7,1,5,3,4,2,6]=>{{1,7},{2},{3,5},{4},{6}}=>11
[6,1,7,5,4,2,3]=>[6,4,2,5,7,1,3]=>[7,4,1,3,5,2,6]=>{{1,7},{2,4},{3},{5},{6}}=>12
[6,1,7,5,4,3,2]=>[6,3,4,5,7,1,2]=>[7,1,3,4,5,2,6]=>{{1,7},{2},{3},{4},{5},{6}}=>15
[6,2,1,3,4,5,7]=>[2,6,1,3,4,5,7]=>[4,2,5,6,7,3,1]=>{{1,4,6},{2},{3,5,7}}=>3
[6,2,1,3,4,7,5]=>[2,6,1,3,7,4,5]=>[4,2,5,7,1,3,6]=>{{1,4,7},{2},{3,5},{6}}=>8
[6,2,1,3,5,4,7]=>[2,6,1,5,3,4,7]=>[4,2,6,7,5,3,1]=>{{1,4,7},{2},{3,6},{5}}=>7
[6,2,1,3,5,7,4]=>[2,6,1,7,3,5,4]=>[4,2,6,1,7,3,5]=>{{1,4},{2},{3,6},{5,7}}=>7
[6,2,1,3,7,4,5]=>[2,6,1,7,4,3,5]=>[4,2,7,6,1,3,5]=>{{1,4,6},{2},{3,7},{5}}=>7
[6,2,1,3,7,5,4]=>[2,6,1,5,7,3,4]=>[4,2,7,1,5,3,6]=>{{1,4},{2},{3,7},{5},{6}}=>12
[6,2,1,4,3,5,7]=>[2,6,4,1,3,5,7]=>[5,2,6,4,7,3,1]=>{{1,5,7},{2},{3,6},{4}}=>6
[6,2,1,4,3,7,5]=>[2,6,4,1,7,3,5]=>[5,2,7,4,1,3,6]=>{{1,5},{2},{3,7},{4},{6}}=>11
[6,2,1,4,5,3,7]=>[2,6,5,1,4,3,7]=>[5,2,7,6,4,3,1]=>{{1,5},{2},{3,7},{4,6}}=>6
[6,2,1,4,5,7,3]=>[2,6,7,1,3,4,5]=>[5,2,6,7,1,3,4]=>{{1,5},{2},{3,6},{4,7}}=>6
[6,2,1,4,7,3,5]=>[2,6,7,1,4,5,3]=>[5,2,1,6,7,3,4]=>{{1,5,7},{2},{3},{4,6}}=>6
[6,2,1,4,7,5,3]=>[2,6,5,1,7,4,3]=>[5,2,1,7,4,3,6]=>{{1,5},{2},{3},{4,7},{6}}=>11
[6,2,1,5,3,4,7]=>[2,6,5,3,1,4,7]=>[6,2,5,7,4,3,1]=>{{1,6},{2},{3,5},{4,7}}=>6
[6,2,1,5,3,7,4]=>[2,6,5,7,1,3,4]=>[6,2,7,1,4,3,5]=>{{1,6},{2},{3,7},{4},{5}}=>10
[6,2,1,5,4,3,7]=>[2,6,4,5,1,3,7]=>[6,2,7,4,5,3,1]=>{{1,6},{2},{3,7},{4},{5}}=>10
[6,2,1,5,4,7,3]=>[2,6,7,5,1,4,3]=>[6,2,1,7,5,3,4]=>{{1,6},{2},{3},{4,7},{5}}=>10
[6,2,1,5,7,3,4]=>[2,6,7,3,1,5,4]=>[6,2,5,1,7,3,4]=>{{1,6},{2},{3,5,7},{4}}=>6
[6,2,1,5,7,4,3]=>[2,6,4,7,1,5,3]=>[6,2,1,4,7,3,5]=>{{1,6},{2},{3},{4},{5,7}}=>10
[6,2,1,7,3,4,5]=>[2,6,7,3,4,1,5]=>[7,2,5,6,1,3,4]=>{{1,7},{2},{3,5},{4,6}}=>6
[6,2,1,7,3,5,4]=>[2,6,7,5,3,1,4]=>[7,2,6,1,5,3,4]=>{{1,7},{2},{3,6},{4},{5}}=>10
[6,2,1,7,4,3,5]=>[2,6,4,7,3,1,5]=>[7,2,6,4,1,3,5]=>{{1,7},{2},{3,6},{4},{5}}=>10
[6,2,1,7,4,5,3]=>[2,6,5,7,4,1,3]=>[7,2,1,6,4,3,5]=>{{1,7},{2},{3},{4,6},{5}}=>10
[6,2,1,7,5,3,4]=>[2,6,5,3,7,1,4]=>[7,2,5,1,4,3,6]=>{{1,7},{2},{3,5},{4},{6}}=>11
[6,2,1,7,5,4,3]=>[2,6,4,5,7,1,3]=>[7,2,1,4,5,3,6]=>{{1,7},{2},{3},{4},{5},{6}}=>15
[6,2,3,1,4,5,7]=>[3,6,2,1,4,5,7]=>[5,4,2,6,7,3,1]=>{{1,5,7},{2,4,6},{3}}=>3
[6,2,3,1,4,7,5]=>[3,6,2,1,7,4,5]=>[5,4,2,7,1,3,6]=>{{1,5},{2,4,7},{3},{6}}=>8
[6,2,3,1,5,4,7]=>[3,6,2,5,1,4,7]=>[6,4,2,7,5,3,1]=>{{1,6},{2,4,7},{3},{5}}=>7
[6,2,3,1,5,7,4]=>[3,6,2,7,1,5,4]=>[6,4,2,1,7,3,5]=>{{1,6},{2,4},{3},{5,7}}=>7
[6,2,3,1,7,4,5]=>[3,6,2,7,4,1,5]=>[7,4,2,6,1,3,5]=>{{1,7},{2,4,6},{3},{5}}=>7
[6,2,3,1,7,5,4]=>[3,6,2,5,7,1,4]=>[7,4,2,1,5,3,6]=>{{1,7},{2,4},{3},{5},{6}}=>12
[6,2,3,4,1,5,7]=>[4,6,2,3,1,5,7]=>[6,4,5,2,7,3,1]=>{{1,6},{2,4},{3,5,7}}=>3
[6,2,3,4,1,7,5]=>[4,6,2,3,7,1,5]=>[7,4,5,2,1,3,6]=>{{1,7},{2,4},{3,5},{6}}=>8
[6,2,3,4,5,1,7]=>[5,6,2,3,4,1,7]=>[7,4,5,6,2,3,1]=>{{1,7},{2,4,6},{3,5}}=>3
[6,2,3,4,5,7,1]=>[7,6,2,3,4,5,1]=>[1,4,5,6,7,3,2]=>{{1},{2,4,6},{3,5,7}}=>3
[6,2,3,4,7,1,5]=>[7,6,2,3,1,4,5]=>[6,4,5,7,1,3,2]=>{{1,6},{2,4,7},{3,5}}=>3
[6,2,3,4,7,5,1]=>[5,7,2,3,6,1,4]=>[7,4,5,1,2,6,3]=>{{1,7},{2,4},{3,5},{6}}=>8
[6,2,3,5,1,4,7]=>[5,6,2,1,3,4,7]=>[5,4,6,7,2,3,1]=>{{1,5},{2,4,7},{3,6}}=>3
[6,2,3,5,1,7,4]=>[5,6,2,7,3,1,4]=>[7,4,6,1,2,3,5]=>{{1,7},{2,4},{3,6},{5}}=>7
[6,2,3,5,4,1,7]=>[4,5,2,6,1,3,7]=>[6,4,7,2,3,5,1]=>{{1,6},{2,4},{3,7},{5}}=>7
[6,2,3,5,4,7,1]=>[7,6,2,5,3,4,1]=>[1,4,6,7,5,3,2]=>{{1},{2,4,7},{3,6},{5}}=>7
[6,2,3,5,7,1,4]=>[7,6,2,1,4,3,5]=>[5,4,7,6,1,3,2]=>{{1,5},{2,4,6},{3,7}}=>3
[6,2,3,5,7,4,1]=>[4,7,2,6,3,1,5]=>[7,4,6,2,1,5,3]=>{{1,7},{2,4},{3,6},{5}}=>7
[6,2,3,7,1,4,5]=>[7,6,2,1,3,5,4]=>[5,4,6,1,7,3,2]=>{{1,5,7},{2,4},{3,6}}=>3
[6,2,3,7,1,5,4]=>[7,6,2,5,1,3,4]=>[6,4,7,1,5,3,2]=>{{1,6},{2,4},{3,7},{5}}=>7
[6,2,3,7,4,1,5]=>[4,7,2,6,1,5,3]=>[6,4,1,2,7,5,3]=>{{1,6},{2,4},{3},{5,7}}=>7
[6,2,3,7,4,5,1]=>[5,6,2,7,4,3,1]=>[1,4,7,6,2,3,5]=>{{1},{2,4,6},{3,7},{5}}=>7
[6,2,3,7,5,1,4]=>[5,7,2,1,6,4,3]=>[5,4,1,7,2,6,3]=>{{1,5},{2,4,7},{3},{6}}=>8
[6,2,3,7,5,4,1]=>[4,5,2,7,6,3,1]=>[1,4,7,2,3,6,5]=>{{1},{2,4},{3,7},{5},{6}}=>12
[6,2,4,1,3,5,7]=>[4,6,1,2,3,5,7]=>[4,5,6,2,7,3,1]=>{{1,4},{2,5,7},{3,6}}=>3
[6,2,4,1,3,7,5]=>[4,6,1,2,7,3,5]=>[4,5,7,2,1,3,6]=>{{1,4},{2,5},{3,7},{6}}=>8
[6,2,4,1,5,3,7]=>[4,6,5,2,1,3,7]=>[6,5,7,2,4,3,1]=>{{1,6},{2,5},{3,7},{4}}=>6
[6,2,4,1,5,7,3]=>[4,6,7,2,1,5,3]=>[6,5,1,2,7,3,4]=>{{1,6},{2,5,7},{3},{4}}=>6
[6,2,4,1,7,3,5]=>[4,6,7,2,3,1,5]=>[7,5,6,2,1,3,4]=>{{1,7},{2,5},{3,6},{4}}=>6
[6,2,4,1,7,5,3]=>[4,6,5,2,7,1,3]=>[7,5,1,2,4,3,6]=>{{1,7},{2,5},{3},{4},{6}}=>11
[6,2,4,3,1,5,7]=>[3,4,6,1,2,5,7]=>[5,6,2,3,7,4,1]=>{{1,5,7},{2,6},{3},{4}}=>6
[6,2,4,3,1,7,5]=>[3,4,6,1,7,2,5]=>[5,7,2,3,1,4,6]=>{{1,5},{2,7},{3},{4},{6}}=>11
[6,2,4,3,5,1,7]=>[5,6,4,2,3,1,7]=>[7,5,6,4,2,3,1]=>{{1,7},{2,5},{3,6},{4}}=>6
[6,2,4,3,5,7,1]=>[7,6,4,2,3,5,1]=>[1,5,6,4,7,3,2]=>{{1},{2,5,7},{3,6},{4}}=>6
[6,2,4,3,7,1,5]=>[7,6,4,2,1,3,5]=>[6,5,7,4,1,3,2]=>{{1,6},{2,5},{3,7},{4}}=>6
[6,2,4,3,7,5,1]=>[5,7,4,2,6,1,3]=>[7,5,1,4,2,6,3]=>{{1,7},{2,5},{3},{4},{6}}=>11
[6,2,4,5,1,3,7]=>[5,6,1,3,2,4,7]=>[4,6,5,7,2,3,1]=>{{1,4,7},{2,6},{3,5}}=>3
[6,2,4,5,1,7,3]=>[5,6,7,2,3,4,1]=>[1,5,6,7,2,3,4]=>{{1},{2,5},{3,6},{4,7}}=>6
[6,2,4,5,3,1,7]=>[3,5,6,2,1,4,7]=>[6,5,2,7,3,4,1]=>{{1,6},{2,5},{3},{4,7}}=>6
[6,2,4,5,3,7,1]=>[7,6,5,2,4,3,1]=>[1,5,7,6,4,3,2]=>{{1},{2,5},{3,7},{4,6}}=>6
[6,2,4,5,7,1,3]=>[7,6,1,3,4,2,5]=>[4,7,5,6,1,3,2]=>{{1,4,6},{2,7},{3,5}}=>3
[6,2,4,5,7,3,1]=>[3,7,6,2,4,1,5]=>[7,5,2,6,1,4,3]=>{{1,7},{2,5},{3},{4,6}}=>6
[6,2,4,7,1,3,5]=>[7,6,1,3,2,5,4]=>[4,6,5,1,7,3,2]=>{{1,4},{2,6},{3,5,7}}=>3
[6,2,4,7,1,5,3]=>[7,6,5,2,1,4,3]=>[6,5,1,7,4,3,2]=>{{1,6},{2,5},{3},{4,7}}=>6
[6,2,4,7,3,1,5]=>[3,7,6,2,1,5,4]=>[6,5,2,1,7,4,3]=>{{1,6},{2,5,7},{3},{4}}=>6
[6,2,4,7,3,5,1]=>[5,6,7,2,4,1,3]=>[7,5,1,6,2,3,4]=>{{1,7},{2,5},{3},{4,6}}=>6
[6,2,4,7,5,1,3]=>[5,7,1,3,6,4,2]=>[4,1,5,7,2,6,3]=>{{1,4,7},{2},{3,5},{6}}=>8
[6,2,4,7,5,3,1]=>[3,5,7,2,6,4,1]=>[1,5,2,7,3,6,4]=>{{1},{2,5},{3},{4,7},{6}}=>11
[6,2,5,1,3,4,7]=>[5,6,1,2,4,3,7]=>[4,5,7,6,2,3,1]=>{{1,4,6},{2,5},{3,7}}=>3
[6,2,5,1,3,7,4]=>[5,6,1,7,2,3,4]=>[4,6,7,1,2,3,5]=>{{1,4},{2,6},{3,7},{5}}=>7
[6,2,5,1,4,3,7]=>[5,6,4,1,2,3,7]=>[5,6,7,4,2,3,1]=>{{1,5},{2,6},{3,7},{4}}=>6
[6,2,5,1,4,7,3]=>[5,6,7,1,2,4,3]=>[5,6,1,7,2,3,4]=>{{1,5},{2,6},{3},{4,7}}=>6
[6,2,5,1,7,3,4]=>[5,6,7,3,2,1,4]=>[7,6,5,1,2,3,4]=>{{1,7},{2,6},{3,5},{4}}=>6
[6,2,5,1,7,4,3]=>[5,6,4,7,2,1,3]=>[7,6,1,4,2,3,5]=>{{1,7},{2,6},{3},{4},{5}}=>10
[6,2,5,3,1,4,7]=>[3,5,6,1,4,2,7]=>[5,7,2,6,3,4,1]=>{{1,5},{2,7},{3},{4,6}}=>6
[6,2,5,3,1,7,4]=>[3,5,6,7,1,2,4]=>[6,7,2,1,3,4,5]=>{{1,6},{2,7},{3},{4},{5}}=>10
[6,2,5,3,4,1,7]=>[4,6,5,3,2,1,7]=>[7,6,5,2,4,3,1]=>{{1,7},{2,6},{3,5},{4}}=>6
[6,2,5,3,4,7,1]=>[7,6,5,3,2,4,1]=>[1,6,5,7,4,3,2]=>{{1},{2,6},{3,5},{4,7}}=>6
[6,2,5,3,7,1,4]=>[7,6,5,1,4,2,3]=>[5,7,1,6,4,3,2]=>{{1,5},{2,7},{3},{4,6}}=>6
[6,2,5,3,7,4,1]=>[4,7,6,5,3,1,2]=>[7,1,6,2,5,4,3]=>{{1,7},{2},{3,6},{4},{5}}=>10
[6,2,5,4,1,3,7]=>[4,5,1,6,3,2,7]=>[4,7,6,2,3,5,1]=>{{1,4},{2,7},{3,6},{5}}=>7
[6,2,5,4,1,7,3]=>[4,5,6,7,1,3,2]=>[6,1,7,2,3,4,5]=>{{1,6},{2},{3,7},{4},{5}}=>10
[6,2,5,4,3,1,7]=>[3,4,5,6,2,1,7]=>[7,6,2,3,4,5,1]=>{{1,7},{2,6},{3},{4},{5}}=>10
[6,2,5,4,3,7,1]=>[7,6,4,5,2,3,1]=>[1,6,7,4,5,3,2]=>{{1},{2,6},{3,7},{4},{5}}=>10
[6,2,5,4,7,1,3]=>[7,6,1,5,3,2,4]=>[4,7,6,1,5,3,2]=>{{1,4},{2,7},{3,6},{5}}=>7
[6,2,5,4,7,3,1]=>[3,7,6,5,2,1,4]=>[7,6,2,1,5,4,3]=>{{1,7},{2,6},{3},{4},{5}}=>10
[6,2,5,7,1,3,4]=>[7,6,1,2,4,5,3]=>[4,5,1,6,7,3,2]=>{{1,4,6},{2,5,7},{3}}=>3
[6,2,5,7,1,4,3]=>[7,6,4,1,3,2,5]=>[5,7,6,4,1,3,2]=>{{1,5},{2,7},{3,6},{4}}=>6
[6,2,5,7,3,1,4]=>[3,7,6,1,4,5,2]=>[5,1,2,6,7,4,3]=>{{1,5,7},{2},{3},{4,6}}=>6
[6,2,5,7,3,4,1]=>[4,6,7,3,1,2,5]=>[6,7,5,2,1,3,4]=>{{1,6},{2,7},{3,5},{4}}=>6
[6,2,5,7,4,1,3]=>[4,7,1,6,3,5,2]=>[4,1,6,2,7,5,3]=>{{1,4},{2},{3,6},{5,7}}=>7
[6,2,5,7,4,3,1]=>[3,4,7,6,2,5,1]=>[1,6,2,3,7,5,4]=>{{1},{2,6},{3},{4},{5,7}}=>10
[6,2,7,1,3,4,5]=>[7,6,1,2,3,4,5]=>[4,5,6,7,1,3,2]=>{{1,4,7},{2,5},{3,6}}=>3
[6,2,7,1,3,5,4]=>[7,6,1,5,2,4,3]=>[4,6,1,7,5,3,2]=>{{1,4,7},{2,6},{3},{5}}=>7
[6,2,7,1,4,3,5]=>[7,6,4,1,2,5,3]=>[5,6,1,4,7,3,2]=>{{1,5,7},{2,6},{3},{4}}=>6
[6,2,7,1,4,5,3]=>[7,6,5,1,2,3,4]=>[5,6,7,1,4,3,2]=>{{1,5},{2,6},{3,7},{4}}=>6
[6,2,7,1,5,3,4]=>[7,6,5,3,1,2,4]=>[6,7,5,1,4,3,2]=>{{1,6},{2,7},{3,5},{4}}=>6
[6,2,7,1,5,4,3]=>[7,6,4,5,1,2,3]=>[6,7,1,4,5,3,2]=>{{1,6},{2,7},{3},{4},{5}}=>10
[6,2,7,3,1,4,5]=>[3,7,6,1,2,4,5]=>[5,6,2,7,1,4,3]=>{{1,5},{2,6},{3},{4,7}}=>6
[6,2,7,3,1,5,4]=>[3,7,6,5,1,4,2]=>[6,1,2,7,5,4,3]=>{{1,6},{2},{3},{4,7},{5}}=>10
[6,2,7,3,4,1,5]=>[4,6,7,3,2,5,1]=>[1,6,5,2,7,3,4]=>{{1},{2,6},{3,5,7},{4}}=>6
[6,2,7,3,4,5,1]=>[5,6,7,3,4,2,1]=>[1,7,5,6,2,3,4]=>{{1},{2,7},{3,5},{4,6}}=>6
[6,2,7,3,5,1,4]=>[5,6,7,1,3,2,4]=>[5,7,6,1,2,3,4]=>{{1,5},{2,7},{3,6},{4}}=>6
[6,2,7,3,5,4,1]=>[4,5,6,7,3,2,1]=>[1,7,6,2,3,4,5]=>{{1},{2,7},{3,6},{4},{5}}=>10
[6,2,7,4,1,3,5]=>[4,7,1,6,2,3,5]=>[4,6,7,2,1,5,3]=>{{1,4},{2,6},{3,7},{5}}=>7
[6,2,7,4,1,5,3]=>[4,7,6,5,2,3,1]=>[1,6,7,2,5,4,3]=>{{1},{2,6},{3,7},{4},{5}}=>10
[6,2,7,4,3,1,5]=>[3,4,7,6,1,2,5]=>[6,7,2,3,1,5,4]=>{{1,6},{2,7},{3},{4},{5}}=>10
[6,2,7,4,3,5,1]=>[5,6,4,7,3,2,1]=>[1,7,6,4,2,3,5]=>{{1},{2,7},{3,6},{4},{5}}=>10
[6,2,7,4,5,1,3]=>[5,6,1,7,4,2,3]=>[4,7,1,6,2,3,5]=>{{1,4,6},{2,7},{3},{5}}=>7
[6,2,7,4,5,3,1]=>[3,5,6,7,4,1,2]=>[7,1,2,6,3,4,5]=>{{1,7},{2},{3},{4,6},{5}}=>10
[6,2,7,5,1,3,4]=>[5,7,1,2,6,3,4]=>[4,5,7,1,2,6,3]=>{{1,4},{2,5},{3,7},{6}}=>8
[6,2,7,5,1,4,3]=>[5,7,4,1,6,3,2]=>[5,1,7,4,2,6,3]=>{{1,5},{2},{3,7},{4},{6}}=>11
[6,2,7,5,3,1,4]=>[3,5,7,1,6,2,4]=>[5,7,2,1,3,6,4]=>{{1,5},{2,7},{3},{4},{6}}=>11
[6,2,7,5,3,4,1]=>[4,6,5,3,7,2,1]=>[1,7,5,2,4,3,6]=>{{1},{2,7},{3,5},{4},{6}}=>11
[6,2,7,5,4,1,3]=>[4,5,1,7,6,2,3]=>[4,7,1,2,3,6,5]=>{{1,4},{2,7},{3},{5},{6}}=>12
[6,2,7,5,4,3,1]=>[3,4,5,7,6,1,2]=>[7,1,2,3,4,6,5]=>{{1,7},{2},{3},{4},{5},{6}}=>15
[6,3,1,2,4,5,7]=>[3,1,6,2,4,5,7]=>[3,5,2,6,7,4,1]=>{{1,3},{2,5,7},{4,6}}=>4
[6,3,1,2,4,7,5]=>[3,1,6,2,7,4,5]=>[3,5,2,7,1,4,6]=>{{1,3},{2,5},{4,7},{6}}=>9
[6,3,1,2,5,4,7]=>[3,1,6,5,2,4,7]=>[3,6,2,7,5,4,1]=>{{1,3},{2,6},{4,7},{5}}=>8
[6,3,1,2,5,7,4]=>[3,1,6,7,2,5,4]=>[3,6,2,1,7,4,5]=>{{1,3},{2,6},{4},{5,7}}=>8
[6,3,1,2,7,4,5]=>[3,1,6,7,4,2,5]=>[3,7,2,6,1,4,5]=>{{1,3},{2,7},{4,6},{5}}=>8
[6,3,1,2,7,5,4]=>[3,1,6,5,7,2,4]=>[3,7,2,1,5,4,6]=>{{1,3},{2,7},{4},{5},{6}}=>13
[6,3,1,4,2,5,7]=>[3,6,4,2,1,5,7]=>[6,5,2,4,7,3,1]=>{{1,6},{2,5,7},{3},{4}}=>6
[6,3,1,4,2,7,5]=>[3,6,4,2,7,1,5]=>[7,5,2,4,1,3,6]=>{{1,7},{2,5},{3},{4},{6}}=>11
[6,3,1,4,5,2,7]=>[3,6,5,1,2,4,7]=>[5,6,2,7,4,3,1]=>{{1,5},{2,6},{3},{4,7}}=>6
[6,3,1,4,5,7,2]=>[3,6,7,1,2,5,4]=>[5,6,2,1,7,3,4]=>{{1,5,7},{2,6},{3},{4}}=>6
[6,3,1,4,7,2,5]=>[3,6,7,1,4,2,5]=>[5,7,2,6,1,3,4]=>{{1,5},{2,7},{3},{4,6}}=>6
[6,3,1,4,7,5,2]=>[3,6,5,1,7,2,4]=>[5,7,2,1,4,3,6]=>{{1,5},{2,7},{3},{4},{6}}=>11
[6,3,1,5,2,4,7]=>[3,6,5,2,4,1,7]=>[7,5,2,6,4,3,1]=>{{1,7},{2,5},{3},{4,6}}=>6
[6,3,1,5,2,7,4]=>[3,6,5,7,2,1,4]=>[7,6,2,1,4,3,5]=>{{1,7},{2,6},{3},{4},{5}}=>10
[6,3,1,5,4,2,7]=>[3,6,4,5,2,1,7]=>[7,6,2,4,5,3,1]=>{{1,7},{2,6},{3},{4},{5}}=>10
[6,3,1,5,4,7,2]=>[3,6,7,5,1,2,4]=>[6,7,2,1,5,3,4]=>{{1,6},{2,7},{3},{4},{5}}=>10
[6,3,1,5,7,2,4]=>[3,6,7,2,1,4,5]=>[6,5,2,7,1,3,4]=>{{1,6},{2,5},{3},{4,7}}=>6
[6,3,1,5,7,4,2]=>[3,6,4,7,1,2,5]=>[6,7,2,4,1,3,5]=>{{1,6},{2,7},{3},{4},{5}}=>10
[6,3,1,7,2,4,5]=>[3,6,7,2,4,5,1]=>[1,5,2,6,7,3,4]=>{{1},{2,5,7},{3},{4,6}}=>6
[6,3,1,7,2,5,4]=>[3,6,7,5,2,4,1]=>[1,6,2,7,5,3,4]=>{{1},{2,6},{3},{4,7},{5}}=>10
[6,3,1,7,4,2,5]=>[3,6,4,7,2,5,1]=>[1,6,2,4,7,3,5]=>{{1},{2,6},{3},{4},{5,7}}=>10
[6,3,1,7,4,5,2]=>[3,6,5,7,4,2,1]=>[1,7,2,6,4,3,5]=>{{1},{2,7},{3},{4,6},{5}}=>10
[6,3,1,7,5,2,4]=>[3,6,5,2,7,4,1]=>[1,5,2,7,4,3,6]=>{{1},{2,5},{3},{4,7},{6}}=>11
[6,3,1,7,5,4,2]=>[3,6,4,5,7,2,1]=>[1,7,2,4,5,3,6]=>{{1},{2,7},{3},{4},{5},{6}}=>15
[6,3,2,1,4,5,7]=>[2,3,6,1,4,5,7]=>[5,2,3,6,7,4,1]=>{{1,5,7},{2},{3},{4,6}}=>6
[6,3,2,1,4,7,5]=>[2,3,6,1,7,4,5]=>[5,2,3,7,1,4,6]=>{{1,5},{2},{3},{4,7},{6}}=>11
[6,3,2,1,5,4,7]=>[2,3,6,5,1,4,7]=>[6,2,3,7,5,4,1]=>{{1,6},{2},{3},{4,7},{5}}=>10
[6,3,2,1,5,7,4]=>[2,3,6,7,1,5,4]=>[6,2,3,1,7,4,5]=>{{1,6},{2},{3},{4},{5,7}}=>10
[6,3,2,1,7,4,5]=>[2,3,6,7,4,1,5]=>[7,2,3,6,1,4,5]=>{{1,7},{2},{3},{4,6},{5}}=>10
[6,3,2,1,7,5,4]=>[2,3,6,5,7,1,4]=>[7,2,3,1,5,4,6]=>{{1,7},{2},{3},{4},{5},{6}}=>15
[6,3,2,4,1,5,7]=>[4,3,6,2,1,5,7]=>[6,5,3,2,7,4,1]=>{{1,6},{2,5,7},{3},{4}}=>6
[6,3,2,4,1,7,5]=>[4,3,6,2,7,1,5]=>[7,5,3,2,1,4,6]=>{{1,7},{2,5},{3},{4},{6}}=>11
[6,3,2,4,5,1,7]=>[5,3,6,2,4,1,7]=>[7,5,3,6,2,4,1]=>{{1,7},{2,5},{3},{4,6}}=>6
[6,3,2,4,5,7,1]=>[7,3,6,2,4,5,1]=>[1,5,3,6,7,4,2]=>{{1},{2,5,7},{3},{4,6}}=>6
[6,3,2,4,7,1,5]=>[7,3,6,2,1,4,5]=>[6,5,3,7,1,4,2]=>{{1,6},{2,5},{3},{4,7}}=>6
[6,3,2,4,7,5,1]=>[5,3,7,2,6,1,4]=>[7,5,3,1,2,6,4]=>{{1,7},{2,5},{3},{4},{6}}=>11
[6,3,2,5,1,4,7]=>[5,3,6,1,2,4,7]=>[5,6,3,7,2,4,1]=>{{1,5},{2,6},{3},{4,7}}=>6
[6,3,2,5,1,7,4]=>[5,3,6,7,2,1,4]=>[7,6,3,1,2,4,5]=>{{1,7},{2,6},{3},{4},{5}}=>10
[6,3,2,5,4,1,7]=>[4,3,5,6,1,2,7]=>[6,7,3,2,4,5,1]=>{{1,6},{2,7},{3},{4},{5}}=>10
[6,3,2,5,4,7,1]=>[7,3,6,5,2,4,1]=>[1,6,3,7,5,4,2]=>{{1},{2,6},{3},{4,7},{5}}=>10
[6,3,2,5,7,1,4]=>[7,3,6,1,4,2,5]=>[5,7,3,6,1,4,2]=>{{1,5},{2,7},{3},{4,6}}=>6
[6,3,2,5,7,4,1]=>[4,3,7,6,2,1,5]=>[7,6,3,2,1,5,4]=>{{1,7},{2,6},{3},{4},{5}}=>10
[6,3,2,7,1,4,5]=>[7,3,6,1,2,5,4]=>[5,6,3,1,7,4,2]=>{{1,5,7},{2,6},{3},{4}}=>6
[6,3,2,7,1,5,4]=>[7,3,6,5,1,2,4]=>[6,7,3,1,5,4,2]=>{{1,6},{2,7},{3},{4},{5}}=>10
[6,3,2,7,4,1,5]=>[4,3,7,6,1,5,2]=>[6,1,3,2,7,5,4]=>{{1,6},{2},{3},{4},{5,7}}=>10
[6,3,2,7,4,5,1]=>[5,3,6,7,4,2,1]=>[1,7,3,6,2,4,5]=>{{1},{2,7},{3},{4,6},{5}}=>10
[6,3,2,7,5,1,4]=>[5,3,7,1,6,4,2]=>[5,1,3,7,2,6,4]=>{{1,5},{2},{3},{4,7},{6}}=>11
[6,3,2,7,5,4,1]=>[4,3,5,7,6,2,1]=>[1,7,3,2,4,6,5]=>{{1},{2,7},{3},{4},{5},{6}}=>15
[6,3,4,1,2,5,7]=>[4,1,6,3,2,5,7]=>[3,6,5,2,7,4,1]=>{{1,3,5,7},{2,6},{4}}=>4
[6,3,4,1,2,7,5]=>[4,1,6,3,7,2,5]=>[3,7,5,2,1,4,6]=>{{1,3,5},{2,7},{4},{6}}=>9
[6,3,4,1,5,2,7]=>[4,5,6,3,1,2,7]=>[6,7,5,2,3,4,1]=>{{1,6},{2,7},{3,5},{4}}=>6
[6,3,4,1,5,7,2]=>[4,7,6,3,2,1,5]=>[7,6,5,2,1,4,3]=>{{1,7},{2,6},{3,5},{4}}=>6
[6,3,4,1,7,2,5]=>[4,7,6,3,1,5,2]=>[6,1,5,2,7,4,3]=>{{1,6},{2},{3,5,7},{4}}=>6
[6,3,4,1,7,5,2]=>[4,5,7,3,6,2,1]=>[1,7,5,2,3,6,4]=>{{1},{2,7},{3,5},{4},{6}}=>11
[6,3,4,2,1,5,7]=>[2,4,6,3,1,5,7]=>[6,2,5,3,7,4,1]=>{{1,6},{2},{3,5,7},{4}}=>6
[6,3,4,2,1,7,5]=>[2,4,6,3,7,1,5]=>[7,2,5,3,1,4,6]=>{{1,7},{2},{3,5},{4},{6}}=>11
[6,3,4,2,5,1,7]=>[5,4,6,3,2,1,7]=>[7,6,5,3,2,4,1]=>{{1,7},{2,6},{3,5},{4}}=>6
[6,3,4,2,5,7,1]=>[7,4,6,3,2,5,1]=>[1,6,5,3,7,4,2]=>{{1},{2,6},{3,5,7},{4}}=>6
[6,3,4,2,7,1,5]=>[7,4,6,3,1,2,5]=>[6,7,5,3,1,4,2]=>{{1,6},{2,7},{3,5},{4}}=>6
[6,3,4,2,7,5,1]=>[5,4,7,3,6,1,2]=>[7,1,5,3,2,6,4]=>{{1,7},{2},{3,5},{4},{6}}=>11
[6,3,4,5,1,2,7]=>[5,1,6,3,4,2,7]=>[3,7,5,6,2,4,1]=>{{1,3,5},{2,7},{4,6}}=>4
[6,3,4,5,1,7,2]=>[5,7,6,3,4,1,2]=>[7,1,5,6,2,4,3]=>{{1,7},{2},{3,5},{4,6}}=>6
[6,3,4,5,2,1,7]=>[2,5,6,3,4,1,7]=>[7,2,5,6,3,4,1]=>{{1,7},{2},{3,5},{4,6}}=>6
[6,3,4,5,2,7,1]=>[7,5,6,3,4,2,1]=>[1,7,5,6,3,4,2]=>{{1},{2,7},{3,5},{4,6}}=>6
[6,3,4,5,7,1,2]=>[7,1,6,3,4,5,2]=>[3,1,5,6,7,4,2]=>{{1,3,5,7},{2},{4,6}}=>4
[6,3,4,5,7,2,1]=>[2,7,6,3,4,5,1]=>[1,2,5,6,7,4,3]=>{{1},{2},{3,5,7},{4,6}}=>6
[6,3,4,7,1,2,5]=>[7,1,6,3,2,4,5]=>[3,6,5,7,1,4,2]=>{{1,3,5},{2,6},{4,7}}=>4
[6,3,4,7,1,5,2]=>[7,5,6,3,1,4,2]=>[6,1,5,7,3,4,2]=>{{1,6},{2},{3,5},{4,7}}=>6
[6,3,4,7,2,1,5]=>[2,7,6,3,1,4,5]=>[6,2,5,7,1,4,3]=>{{1,6},{2},{3,5},{4,7}}=>6
[6,3,4,7,2,5,1]=>[5,7,6,3,2,4,1]=>[1,6,5,7,2,4,3]=>{{1},{2,6},{3,5},{4,7}}=>6
[6,3,4,7,5,1,2]=>[5,1,7,3,6,2,4]=>[3,7,5,1,2,6,4]=>{{1,3,5},{2,7},{4},{6}}=>9
[6,3,4,7,5,2,1]=>[2,5,7,3,6,1,4]=>[7,2,5,1,3,6,4]=>{{1,7},{2},{3,5},{4},{6}}=>11
[6,3,5,1,2,4,7]=>[5,1,6,2,3,4,7]=>[3,5,6,7,2,4,1]=>{{1,3,6},{2,5},{4,7}}=>4
[6,3,5,1,2,7,4]=>[5,1,6,7,3,2,4]=>[3,7,6,1,2,4,5]=>{{1,3,6},{2,7},{4},{5}}=>8
[6,3,5,1,4,2,7]=>[5,4,6,1,3,2,7]=>[5,7,6,3,2,4,1]=>{{1,5},{2,7},{3,6},{4}}=>6
[6,3,5,1,4,7,2]=>[5,7,6,1,3,4,2]=>[5,1,6,7,2,4,3]=>{{1,5},{2},{3,6},{4,7}}=>6
[6,3,5,1,7,2,4]=>[5,7,6,2,4,3,1]=>[1,5,7,6,2,4,3]=>{{1},{2,5},{3,7},{4,6}}=>6
[6,3,5,1,7,4,2]=>[5,4,7,6,3,2,1]=>[1,7,6,3,2,5,4]=>{{1},{2,7},{3,6},{4},{5}}=>10
[6,3,5,2,1,4,7]=>[2,5,6,1,3,4,7]=>[5,2,6,7,3,4,1]=>{{1,5},{2},{3,6},{4,7}}=>6
[6,3,5,2,1,7,4]=>[2,5,6,7,3,1,4]=>[7,2,6,1,3,4,5]=>{{1,7},{2},{3,6},{4},{5}}=>10
[6,3,5,2,4,1,7]=>[4,5,6,2,3,1,7]=>[7,5,6,2,3,4,1]=>{{1,7},{2,5},{3,6},{4}}=>6
[6,3,5,2,4,7,1]=>[7,5,6,2,3,4,1]=>[1,5,6,7,3,4,2]=>{{1},{2,5},{3,6},{4,7}}=>6
[6,3,5,2,7,1,4]=>[7,5,6,1,4,3,2]=>[5,1,7,6,3,4,2]=>{{1,5},{2},{3,7},{4,6}}=>6
[6,3,5,2,7,4,1]=>[4,7,5,6,2,1,3]=>[7,6,1,2,4,5,3]=>{{1,7},{2,6},{3},{4},{5}}=>10
[6,3,5,4,1,2,7]=>[4,1,5,6,2,3,7]=>[3,6,7,2,4,5,1]=>{{1,3,7},{2,6},{4},{5}}=>8
[6,3,5,4,1,7,2]=>[4,5,7,6,3,1,2]=>[7,1,6,2,3,5,4]=>{{1,7},{2},{3,6},{4},{5}}=>10
[6,3,5,4,2,1,7]=>[2,4,5,6,1,3,7]=>[6,2,7,3,4,5,1]=>{{1,6},{2},{3,7},{4},{5}}=>10
[6,3,5,4,2,7,1]=>[7,4,5,6,2,3,1]=>[1,6,7,3,4,5,2]=>{{1},{2,6},{3,7},{4},{5}}=>10
[6,3,5,4,7,1,2]=>[7,1,6,5,3,4,2]=>[3,1,6,7,5,4,2]=>{{1,3,6},{2},{4,7},{5}}=>8
[6,3,5,4,7,2,1]=>[2,7,6,5,3,4,1]=>[1,2,6,7,5,4,3]=>{{1},{2},{3,6},{4,7},{5}}=>10
[6,3,5,7,1,2,4]=>[7,1,6,2,4,3,5]=>[3,5,7,6,1,4,2]=>{{1,3,7},{2,5},{4,6}}=>4
[6,3,5,7,1,4,2]=>[7,4,6,1,3,5,2]=>[5,1,6,3,7,4,2]=>{{1,5,7},{2},{3,6},{4}}=>6
[6,3,5,7,2,1,4]=>[2,7,6,1,4,3,5]=>[5,2,7,6,1,4,3]=>{{1,5},{2},{3,7},{4,6}}=>6
[6,3,5,7,2,4,1]=>[4,7,6,2,3,5,1]=>[1,5,6,2,7,4,3]=>{{1},{2,5,7},{3,6},{4}}=>6
[6,3,5,7,4,1,2]=>[4,1,7,6,3,2,5]=>[3,7,6,2,1,5,4]=>{{1,3,6},{2,7},{4},{5}}=>8
[6,3,5,7,4,2,1]=>[2,4,7,6,3,1,5]=>[7,2,6,3,1,5,4]=>{{1,7},{2},{3,6},{4},{5}}=>10
[6,3,7,1,2,4,5]=>[7,1,6,2,3,5,4]=>[3,5,6,1,7,4,2]=>{{1,3,6},{2,5,7},{4}}=>4
[6,3,7,1,2,5,4]=>[7,1,6,5,2,3,4]=>[3,6,7,1,5,4,2]=>{{1,3,7},{2,6},{4},{5}}=>8
[6,3,7,1,4,2,5]=>[7,4,6,1,2,3,5]=>[5,6,7,3,1,4,2]=>{{1,5},{2,6},{3,7},{4}}=>6
[6,3,7,1,4,5,2]=>[7,5,6,1,3,2,4]=>[5,7,6,1,3,4,2]=>{{1,5},{2,7},{3,6},{4}}=>6
[6,3,7,1,5,2,4]=>[7,5,6,2,1,3,4]=>[6,5,7,1,3,4,2]=>{{1,6},{2,5},{3,7},{4}}=>6
[6,3,7,1,5,4,2]=>[7,4,5,6,1,2,3]=>[6,7,1,3,4,5,2]=>{{1,6},{2,7},{3},{4},{5}}=>10
[6,3,7,2,1,4,5]=>[2,7,6,1,3,5,4]=>[5,2,6,1,7,4,3]=>{{1,5,7},{2},{3,6},{4}}=>6
[6,3,7,2,1,5,4]=>[2,7,6,5,1,3,4]=>[6,2,7,1,5,4,3]=>{{1,6},{2},{3,7},{4},{5}}=>10
[6,3,7,2,4,1,5]=>[4,7,6,2,1,3,5]=>[6,5,7,2,1,4,3]=>{{1,6},{2,5},{3,7},{4}}=>6
[6,3,7,2,4,5,1]=>[5,7,6,2,3,1,4]=>[7,5,6,1,2,4,3]=>{{1,7},{2,5},{3,6},{4}}=>6
[6,3,7,2,5,1,4]=>[5,7,6,1,2,3,4]=>[5,6,7,1,2,4,3]=>{{1,5},{2,6},{3,7},{4}}=>6
[6,3,7,2,5,4,1]=>[4,5,7,6,1,2,3]=>[6,7,1,2,3,5,4]=>{{1,6},{2,7},{3},{4},{5}}=>10
[6,3,7,4,1,2,5]=>[4,1,7,6,2,5,3]=>[3,6,1,2,7,5,4]=>{{1,3},{2,6},{4},{5,7}}=>8
[6,3,7,4,1,5,2]=>[4,7,5,6,1,3,2]=>[6,1,7,2,4,5,3]=>{{1,6},{2},{3,7},{4},{5}}=>10
[6,3,7,4,2,1,5]=>[2,4,7,6,1,5,3]=>[6,2,1,3,7,5,4]=>{{1,6},{2},{3},{4},{5,7}}=>10
[6,3,7,4,2,5,1]=>[5,4,7,6,2,1,3]=>[7,6,1,3,2,5,4]=>{{1,7},{2,6},{3},{4},{5}}=>10
[6,3,7,4,5,1,2]=>[5,1,6,7,4,3,2]=>[3,1,7,6,2,4,5]=>{{1,3,7},{2},{4,6},{5}}=>8
[6,3,7,4,5,2,1]=>[2,5,6,7,4,3,1]=>[1,2,7,6,3,4,5]=>{{1},{2},{3,7},{4,6},{5}}=>10
[6,3,7,5,1,2,4]=>[5,1,7,2,6,4,3]=>[3,5,1,7,2,6,4]=>{{1,3},{2,5},{4,7},{6}}=>9
[6,3,7,5,1,4,2]=>[5,4,7,1,6,2,3]=>[5,7,1,3,2,6,4]=>{{1,5},{2,7},{3},{4},{6}}=>11
[6,3,7,5,2,1,4]=>[2,5,7,1,6,4,3]=>[5,2,1,7,3,6,4]=>{{1,5},{2},{3},{4,7},{6}}=>11
[6,3,7,5,2,4,1]=>[4,5,7,2,6,1,3]=>[7,5,1,2,3,6,4]=>{{1,7},{2,5},{3},{4},{6}}=>11
[6,3,7,5,4,1,2]=>[4,1,5,7,6,3,2]=>[3,1,7,2,4,6,5]=>{{1,3,7},{2},{4},{5},{6}}=>13
[6,3,7,5,4,2,1]=>[2,4,5,7,6,3,1]=>[1,2,7,3,4,6,5]=>{{1},{2},{3,7},{4},{5},{6}}=>15
[6,4,1,2,3,5,7]=>[4,1,2,6,3,5,7]=>[3,4,6,2,7,5,1]=>{{1,3,6},{2,4},{5,7}}=>5
[6,4,1,2,3,7,5]=>[4,1,2,6,7,3,5]=>[3,4,7,2,1,5,6]=>{{1,3,7},{2,4},{5},{6}}=>10
[6,4,1,2,5,3,7]=>[4,1,6,5,3,2,7]=>[3,7,6,2,5,4,1]=>{{1,3,6},{2,7},{4},{5}}=>8
[6,4,1,2,5,7,3]=>[4,1,6,7,2,3,5]=>[3,6,7,2,1,4,5]=>{{1,3,7},{2,6},{4},{5}}=>8
[6,4,1,2,7,3,5]=>[4,1,6,7,3,5,2]=>[3,1,6,2,7,4,5]=>{{1,3,6},{2},{4},{5,7}}=>8
[6,4,1,2,7,5,3]=>[4,1,6,5,7,3,2]=>[3,1,7,2,5,4,6]=>{{1,3,7},{2},{4},{5},{6}}=>13
[6,4,1,3,2,5,7]=>[4,3,1,6,2,5,7]=>[4,6,3,2,7,5,1]=>{{1,4},{2,6},{3},{5,7}}=>7
[6,4,1,3,2,7,5]=>[4,3,1,6,7,2,5]=>[4,7,3,2,1,5,6]=>{{1,4},{2,7},{3},{5},{6}}=>12
[6,4,1,3,5,2,7]=>[4,6,1,5,2,3,7]=>[4,6,7,2,5,3,1]=>{{1,4},{2,6},{3,7},{5}}=>7
[6,4,1,3,5,7,2]=>[4,6,1,7,2,5,3]=>[4,6,1,2,7,3,5]=>{{1,4},{2,6},{3},{5,7}}=>7
[6,4,1,3,7,2,5]=>[4,6,1,7,3,2,5]=>[4,7,6,2,1,3,5]=>{{1,4},{2,7},{3,6},{5}}=>7
[6,4,1,3,7,5,2]=>[4,6,1,5,7,2,3]=>[4,7,1,2,5,3,6]=>{{1,4},{2,7},{3},{5},{6}}=>12
[6,4,1,5,2,3,7]=>[4,6,2,5,3,1,7]=>[7,4,6,2,5,3,1]=>{{1,7},{2,4},{3,6},{5}}=>7
[6,4,1,5,2,7,3]=>[4,6,5,7,1,2,3]=>[6,7,1,2,4,3,5]=>{{1,6},{2,7},{3},{4},{5}}=>10
[6,4,1,5,3,2,7]=>[4,3,6,5,2,1,7]=>[7,6,3,2,5,4,1]=>{{1,7},{2,6},{3},{4},{5}}=>10
[6,4,1,5,3,7,2]=>[4,6,7,5,2,1,3]=>[7,6,1,2,5,3,4]=>{{1,7},{2,6},{3},{4},{5}}=>10
[6,4,1,5,7,2,3]=>[4,6,2,7,1,3,5]=>[6,4,7,2,1,3,5]=>{{1,6},{2,4},{3,7},{5}}=>7
[6,4,1,5,7,3,2]=>[4,3,6,7,1,2,5]=>[6,7,3,2,1,4,5]=>{{1,6},{2,7},{3},{4},{5}}=>10
[6,4,1,7,2,3,5]=>[4,6,2,7,3,5,1]=>[1,4,6,2,7,3,5]=>{{1},{2,4},{3,6},{5,7}}=>7
[6,4,1,7,2,5,3]=>[4,6,7,5,3,2,1]=>[1,7,6,2,5,3,4]=>{{1},{2,7},{3,6},{4},{5}}=>10
[6,4,1,7,3,2,5]=>[4,3,6,7,2,5,1]=>[1,6,3,2,7,4,5]=>{{1},{2,6},{3},{4},{5,7}}=>10
[6,4,1,7,3,5,2]=>[4,6,5,7,2,3,1]=>[1,6,7,2,4,3,5]=>{{1},{2,6},{3,7},{4},{5}}=>10
[6,4,1,7,5,2,3]=>[4,6,2,5,7,3,1]=>[1,4,7,2,5,3,6]=>{{1},{2,4},{3,7},{5},{6}}=>12
[6,4,1,7,5,3,2]=>[4,3,6,5,7,2,1]=>[1,7,3,2,5,4,6]=>{{1},{2,7},{3},{4},{5},{6}}=>15
[6,4,2,1,3,5,7]=>[2,4,1,6,3,5,7]=>[4,2,6,3,7,5,1]=>{{1,4},{2},{3,6},{5,7}}=>7
[6,4,2,1,3,7,5]=>[2,4,1,6,7,3,5]=>[4,2,7,3,1,5,6]=>{{1,4},{2},{3,7},{5},{6}}=>12
[6,4,2,1,5,3,7]=>[2,4,6,5,3,1,7]=>[7,2,6,3,5,4,1]=>{{1,7},{2},{3,6},{4},{5}}=>10
[6,4,2,1,5,7,3]=>[2,4,6,7,1,3,5]=>[6,2,7,3,1,4,5]=>{{1,6},{2},{3,7},{4},{5}}=>10
[6,4,2,1,7,3,5]=>[2,4,6,7,3,5,1]=>[1,2,6,3,7,4,5]=>{{1},{2},{3,6},{4},{5,7}}=>10
[6,4,2,1,7,5,3]=>[2,4,6,5,7,3,1]=>[1,2,7,3,5,4,6]=>{{1},{2},{3,7},{4},{5},{6}}=>15
[6,4,2,3,1,5,7]=>[3,4,2,6,1,5,7]=>[6,4,2,3,7,5,1]=>{{1,6},{2,4},{3},{5,7}}=>7
[6,4,2,3,1,7,5]=>[3,4,2,6,7,1,5]=>[7,4,2,3,1,5,6]=>{{1,7},{2,4},{3},{5},{6}}=>12
[6,4,2,3,5,1,7]=>[5,4,2,6,3,1,7]=>[7,4,6,3,2,5,1]=>{{1,7},{2,4},{3,6},{5}}=>7
[6,4,2,3,5,7,1]=>[7,4,2,6,3,5,1]=>[1,4,6,3,7,5,2]=>{{1},{2,4},{3,6},{5,7}}=>7
[6,4,2,3,7,1,5]=>[7,4,2,6,1,3,5]=>[6,4,7,3,1,5,2]=>{{1,6},{2,4},{3,7},{5}}=>7
[6,4,2,3,7,5,1]=>[5,4,2,7,6,1,3]=>[7,4,1,3,2,6,5]=>{{1,7},{2,4},{3},{5},{6}}=>12
[6,4,2,5,1,3,7]=>[5,4,1,6,2,3,7]=>[4,6,7,3,2,5,1]=>{{1,4},{2,6},{3,7},{5}}=>7
[6,4,2,5,1,7,3]=>[5,4,6,7,2,3,1]=>[1,6,7,3,2,4,5]=>{{1},{2,6},{3,7},{4},{5}}=>10
[6,4,2,5,3,1,7]=>[3,5,4,6,1,2,7]=>[6,7,2,4,3,5,1]=>{{1,6},{2,7},{3},{4},{5}}=>10
[6,4,2,5,3,7,1]=>[7,4,6,5,3,2,1]=>[1,7,6,3,5,4,2]=>{{1},{2,7},{3,6},{4},{5}}=>10
[6,4,2,5,7,1,3]=>[7,4,1,6,3,2,5]=>[4,7,6,3,1,5,2]=>{{1,4},{2,7},{3,6},{5}}=>7
[6,4,2,5,7,3,1]=>[3,7,4,6,2,1,5]=>[7,6,2,4,1,5,3]=>{{1,7},{2,6},{3},{4},{5}}=>10
[6,4,2,7,1,3,5]=>[7,4,1,6,2,5,3]=>[4,6,1,3,7,5,2]=>{{1,4},{2,6},{3},{5,7}}=>7
[6,4,2,7,1,5,3]=>[7,4,6,5,1,3,2]=>[6,1,7,3,5,4,2]=>{{1,6},{2},{3,7},{4},{5}}=>10
[6,4,2,7,3,1,5]=>[3,7,4,6,1,5,2]=>[6,1,2,4,7,5,3]=>{{1,6},{2},{3},{4},{5,7}}=>10
[6,4,2,7,3,5,1]=>[5,4,6,7,3,1,2]=>[7,1,6,3,2,4,5]=>{{1,7},{2},{3,6},{4},{5}}=>10
[6,4,2,7,5,1,3]=>[5,4,1,7,6,3,2]=>[4,1,7,3,2,6,5]=>{{1,4},{2},{3,7},{5},{6}}=>12
[6,4,2,7,5,3,1]=>[3,5,4,7,6,2,1]=>[1,7,2,4,3,6,5]=>{{1},{2,7},{3},{4},{5},{6}}=>15
[6,4,3,1,2,5,7]=>[3,1,4,6,2,5,7]=>[3,6,2,4,7,5,1]=>{{1,3},{2,6},{4},{5,7}}=>8
[6,4,3,1,2,7,5]=>[3,1,4,6,7,2,5]=>[3,7,2,4,1,5,6]=>{{1,3},{2,7},{4},{5},{6}}=>13
[6,4,3,1,5,2,7]=>[3,4,6,5,1,2,7]=>[6,7,2,3,5,4,1]=>{{1,6},{2,7},{3},{4},{5}}=>10
[6,4,3,1,5,7,2]=>[3,4,6,7,1,5,2]=>[6,1,2,3,7,4,5]=>{{1,6},{2},{3},{4},{5,7}}=>10
[6,4,3,1,7,2,5]=>[3,4,6,7,2,1,5]=>[7,6,2,3,1,4,5]=>{{1,7},{2,6},{3},{4},{5}}=>10
[6,4,3,1,7,5,2]=>[3,4,6,5,7,1,2]=>[7,1,2,3,5,4,6]=>{{1,7},{2},{3},{4},{5},{6}}=>15
[6,4,3,2,1,5,7]=>[2,3,4,6,1,5,7]=>[6,2,3,4,7,5,1]=>{{1,6},{2},{3},{4},{5,7}}=>10
[6,4,3,2,1,7,5]=>[2,3,4,6,7,1,5]=>[7,2,3,4,1,5,6]=>{{1,7},{2},{3},{4},{5},{6}}=>15
[6,4,3,2,5,1,7]=>[5,3,4,6,2,1,7]=>[7,6,3,4,2,5,1]=>{{1,7},{2,6},{3},{4},{5}}=>10
[6,4,3,2,5,7,1]=>[7,3,4,6,2,5,1]=>[1,6,3,4,7,5,2]=>{{1},{2,6},{3},{4},{5,7}}=>10
[6,4,3,2,7,1,5]=>[7,3,4,6,1,2,5]=>[6,7,3,4,1,5,2]=>{{1,6},{2,7},{3},{4},{5}}=>10
[6,4,3,2,7,5,1]=>[5,3,4,7,6,1,2]=>[7,1,3,4,2,6,5]=>{{1,7},{2},{3},{4},{5},{6}}=>15
[6,4,3,5,1,2,7]=>[5,1,4,6,3,2,7]=>[3,7,6,4,2,5,1]=>{{1,3,6},{2,7},{4},{5}}=>8
[6,4,3,5,1,7,2]=>[5,7,4,6,3,1,2]=>[7,1,6,4,2,5,3]=>{{1,7},{2},{3,6},{4},{5}}=>10
[6,4,3,5,2,1,7]=>[2,5,4,6,3,1,7]=>[7,2,6,4,3,5,1]=>{{1,7},{2},{3,6},{4},{5}}=>10
[6,4,3,5,2,7,1]=>[7,5,4,6,3,2,1]=>[1,7,6,4,3,5,2]=>{{1},{2,7},{3,6},{4},{5}}=>10
[6,4,3,5,7,1,2]=>[7,1,4,6,3,5,2]=>[3,1,6,4,7,5,2]=>{{1,3,6},{2},{4},{5,7}}=>8
[6,4,3,5,7,2,1]=>[2,7,4,6,3,5,1]=>[1,2,6,4,7,5,3]=>{{1},{2},{3,6},{4},{5,7}}=>10
[6,4,3,7,1,2,5]=>[7,1,4,6,2,3,5]=>[3,6,7,4,1,5,2]=>{{1,3,7},{2,6},{4},{5}}=>8
[6,4,3,7,1,5,2]=>[7,5,4,6,1,3,2]=>[6,1,7,4,3,5,2]=>{{1,6},{2},{3,7},{4},{5}}=>10
[6,4,3,7,2,1,5]=>[2,7,4,6,1,3,5]=>[6,2,7,4,1,5,3]=>{{1,6},{2},{3,7},{4},{5}}=>10
[6,4,3,7,2,5,1]=>[5,7,4,6,2,3,1]=>[1,6,7,4,2,5,3]=>{{1},{2,6},{3,7},{4},{5}}=>10
[6,4,3,7,5,1,2]=>[5,1,4,7,6,2,3]=>[3,7,1,4,2,6,5]=>{{1,3},{2,7},{4},{5},{6}}=>13
[6,4,3,7,5,2,1]=>[2,5,4,7,6,1,3]=>[7,2,1,4,3,6,5]=>{{1,7},{2},{3},{4},{5},{6}}=>15
[6,4,5,1,2,3,7]=>[5,1,2,6,4,3,7]=>[3,4,7,6,2,5,1]=>{{1,3,7},{2,4,6},{5}}=>5
[6,4,5,1,2,7,3]=>[5,1,7,6,4,2,3]=>[3,7,1,6,2,5,4]=>{{1,3},{2,7},{4,6},{5}}=>8
[6,4,5,1,3,2,7]=>[5,3,1,6,4,2,7]=>[4,7,3,6,2,5,1]=>{{1,4,6},{2,7},{3},{5}}=>7
[6,4,5,1,3,7,2]=>[5,7,1,6,4,3,2]=>[4,1,7,6,2,5,3]=>{{1,4,6},{2},{3,7},{5}}=>7
[6,4,5,1,7,2,3]=>[5,7,2,6,4,1,3]=>[7,4,1,6,2,5,3]=>{{1,7},{2,4,6},{3},{5}}=>7
[6,4,5,1,7,3,2]=>[5,3,7,6,4,1,2]=>[7,1,3,6,2,5,4]=>{{1,7},{2},{3},{4,6},{5}}=>10
[6,4,5,2,1,3,7]=>[2,5,1,6,4,3,7]=>[4,2,7,6,3,5,1]=>{{1,4,6},{2},{3,7},{5}}=>7
[6,4,5,2,1,7,3]=>[2,5,7,6,4,1,3]=>[7,2,1,6,3,5,4]=>{{1,7},{2},{3},{4,6},{5}}=>10
[6,4,5,2,3,1,7]=>[3,5,2,6,4,1,7]=>[7,4,2,6,3,5,1]=>{{1,7},{2,4,6},{3},{5}}=>7
[6,4,5,2,3,7,1]=>[7,5,2,6,4,3,1]=>[1,4,7,6,3,5,2]=>{{1},{2,4,6},{3,7},{5}}=>7
[6,4,5,2,7,1,3]=>[7,5,1,6,4,2,3]=>[4,7,1,6,3,5,2]=>{{1,4,6},{2,7},{3},{5}}=>7
[6,4,5,2,7,3,1]=>[3,7,5,6,4,1,2]=>[7,1,2,6,4,5,3]=>{{1,7},{2},{3},{4,6},{5}}=>10
[6,4,5,3,1,2,7]=>[3,1,5,6,4,2,7]=>[3,7,2,6,4,5,1]=>{{1,3},{2,7},{4,6},{5}}=>8
[6,4,5,3,1,7,2]=>[3,5,7,6,4,2,1]=>[1,7,2,6,3,5,4]=>{{1},{2,7},{3},{4,6},{5}}=>10
[6,4,5,3,2,1,7]=>[2,3,5,6,4,1,7]=>[7,2,3,6,4,5,1]=>{{1,7},{2},{3},{4,6},{5}}=>10
[6,4,5,3,2,7,1]=>[7,3,5,6,4,2,1]=>[1,7,3,6,4,5,2]=>{{1},{2,7},{3},{4,6},{5}}=>10
[6,4,5,3,7,1,2]=>[7,1,5,6,4,3,2]=>[3,1,7,6,4,5,2]=>{{1,3,7},{2},{4,6},{5}}=>8
[6,4,5,3,7,2,1]=>[2,7,5,6,4,3,1]=>[1,2,7,6,4,5,3]=>{{1},{2},{3,7},{4,6},{5}}=>10
[6,4,5,7,1,2,3]=>[7,1,2,6,4,5,3]=>[3,4,1,6,7,5,2]=>{{1,3},{2,4,6},{5,7}}=>5
[6,4,5,7,1,3,2]=>[7,3,1,6,4,5,2]=>[4,1,3,6,7,5,2]=>{{1,4,6},{2},{3},{5,7}}=>7
[6,4,5,7,2,1,3]=>[2,7,1,6,4,5,3]=>[4,2,1,6,7,5,3]=>{{1,4,6},{2},{3},{5,7}}=>7
[6,4,5,7,2,3,1]=>[3,7,2,6,4,5,1]=>[1,4,2,6,7,5,3]=>{{1},{2,4,6},{3},{5,7}}=>7
[6,4,5,7,3,1,2]=>[3,1,7,6,4,5,2]=>[3,1,2,6,7,5,4]=>{{1,3},{2},{4,6},{5,7}}=>8
[6,4,5,7,3,2,1]=>[2,3,7,6,4,5,1]=>[1,2,3,6,7,5,4]=>{{1},{2},{3},{4,6},{5,7}}=>10
[6,4,7,1,2,3,5]=>[7,1,2,6,3,4,5]=>[3,4,6,7,1,5,2]=>{{1,3,6},{2,4,7},{5}}=>5
[6,4,7,1,2,5,3]=>[7,1,5,6,2,4,3]=>[3,6,1,7,4,5,2]=>{{1,3},{2,6},{4,7},{5}}=>8
[6,4,7,1,3,2,5]=>[7,3,1,6,2,4,5]=>[4,6,3,7,1,5,2]=>{{1,4,7},{2,6},{3},{5}}=>7
[6,4,7,1,3,5,2]=>[7,5,1,6,3,4,2]=>[4,1,6,7,3,5,2]=>{{1,4,7},{2},{3,6},{5}}=>7
[6,4,7,1,5,2,3]=>[7,5,2,6,1,4,3]=>[6,4,1,7,3,5,2]=>{{1,6},{2,4,7},{3},{5}}=>7
[6,4,7,1,5,3,2]=>[7,3,5,6,1,4,2]=>[6,1,3,7,4,5,2]=>{{1,6},{2},{3},{4,7},{5}}=>10
[6,4,7,2,1,3,5]=>[2,7,1,6,3,4,5]=>[4,2,6,7,1,5,3]=>{{1,4,7},{2},{3,6},{5}}=>7
[6,4,7,2,1,5,3]=>[2,7,5,6,1,4,3]=>[6,2,1,7,4,5,3]=>{{1,6},{2},{3},{4,7},{5}}=>10
[6,4,7,2,3,1,5]=>[3,7,2,6,1,4,5]=>[6,4,2,7,1,5,3]=>{{1,6},{2,4,7},{3},{5}}=>7
[6,4,7,2,3,5,1]=>[5,7,2,6,3,4,1]=>[1,4,6,7,2,5,3]=>{{1},{2,4,7},{3,6},{5}}=>7
[6,4,7,2,5,1,3]=>[5,7,1,6,2,4,3]=>[4,6,1,7,2,5,3]=>{{1,4,7},{2,6},{3},{5}}=>7
[6,4,7,2,5,3,1]=>[3,5,7,6,1,4,2]=>[6,1,2,7,3,5,4]=>{{1,6},{2},{3},{4,7},{5}}=>10
[6,4,7,3,1,2,5]=>[3,1,7,6,2,4,5]=>[3,6,2,7,1,5,4]=>{{1,3},{2,6},{4,7},{5}}=>8
[6,4,7,3,1,5,2]=>[3,7,5,6,2,4,1]=>[1,6,2,7,4,5,3]=>{{1},{2,6},{3},{4,7},{5}}=>10
[6,4,7,3,2,1,5]=>[2,3,7,6,1,4,5]=>[6,2,3,7,1,5,4]=>{{1,6},{2},{3},{4,7},{5}}=>10
[6,4,7,3,2,5,1]=>[5,3,7,6,2,4,1]=>[1,6,3,7,2,5,4]=>{{1},{2,6},{3},{4,7},{5}}=>10
[6,4,7,3,5,1,2]=>[5,1,7,6,3,4,2]=>[3,1,6,7,2,5,4]=>{{1,3,6},{2},{4,7},{5}}=>8
[6,4,7,3,5,2,1]=>[2,5,7,6,3,4,1]=>[1,2,6,7,3,5,4]=>{{1},{2},{3,6},{4,7},{5}}=>10
[6,4,7,5,1,2,3]=>[5,1,2,7,6,3,4]=>[3,4,7,1,2,6,5]=>{{1,3,7},{2,4},{5},{6}}=>10
[6,4,7,5,1,3,2]=>[5,3,1,7,6,2,4]=>[4,7,3,1,2,6,5]=>{{1,4},{2,7},{3},{5},{6}}=>12
[6,4,7,5,2,1,3]=>[2,5,1,7,6,3,4]=>[4,2,7,1,3,6,5]=>{{1,4},{2},{3,7},{5},{6}}=>12
[6,4,7,5,2,3,1]=>[3,5,2,7,6,1,4]=>[7,4,2,1,3,6,5]=>{{1,7},{2,4},{3},{5},{6}}=>12
[6,4,7,5,3,1,2]=>[3,1,5,7,6,2,4]=>[3,7,2,1,4,6,5]=>{{1,3},{2,7},{4},{5},{6}}=>13
[6,4,7,5,3,2,1]=>[2,3,5,7,6,1,4]=>[7,2,3,1,4,6,5]=>{{1,7},{2},{3},{4},{5},{6}}=>15
[6,5,1,2,3,4,7]=>[5,1,2,3,6,4,7]=>[3,4,5,7,2,6,1]=>{{1,3,5},{2,4,7},{6}}=>6
[6,5,1,2,3,7,4]=>[5,1,2,6,7,4,3]=>[3,4,1,7,2,5,6]=>{{1,3},{2,4,7},{5},{6}}=>10
[6,5,1,2,4,3,7]=>[5,1,4,2,6,3,7]=>[3,5,7,4,2,6,1]=>{{1,3,7},{2,5},{4},{6}}=>9
[6,5,1,2,4,7,3]=>[5,1,6,2,7,3,4]=>[3,5,7,1,2,4,6]=>{{1,3,7},{2,5},{4},{6}}=>9
[6,5,1,2,7,3,4]=>[5,1,6,3,7,4,2]=>[3,1,5,7,2,4,6]=>{{1,3,5},{2},{4,7},{6}}=>9
[6,5,1,2,7,4,3]=>[5,1,4,6,7,3,2]=>[3,1,7,4,2,5,6]=>{{1,3,7},{2},{4},{5},{6}}=>13
[6,5,1,3,2,4,7]=>[5,3,1,2,6,4,7]=>[4,5,3,7,2,6,1]=>{{1,4,7},{2,5},{3},{6}}=>8
[6,5,1,3,2,7,4]=>[5,3,1,6,7,4,2]=>[4,1,3,7,2,5,6]=>{{1,4,7},{2},{3},{5},{6}}=>12
[6,5,1,3,4,2,7]=>[5,4,1,3,6,2,7]=>[4,7,5,3,2,6,1]=>{{1,4},{2,7},{3,5},{6}}=>8
[6,5,1,3,4,7,2]=>[5,6,1,2,7,4,3]=>[4,5,1,7,2,3,6]=>{{1,4,7},{2,5},{3},{6}}=>8
[6,5,1,3,7,2,4]=>[5,6,1,3,7,2,4]=>[4,7,5,1,2,3,6]=>{{1,4},{2,7},{3,5},{6}}=>8
[6,5,1,3,7,4,2]=>[5,4,1,6,7,2,3]=>[4,7,1,3,2,5,6]=>{{1,4},{2,7},{3},{5},{6}}=>12
[6,5,1,4,2,3,7]=>[5,4,2,1,6,3,7]=>[5,4,7,3,2,6,1]=>{{1,5},{2,4},{3,7},{6}}=>8
[6,5,1,4,2,7,3]=>[5,4,6,1,7,3,2]=>[5,1,7,3,2,4,6]=>{{1,5},{2},{3,7},{4},{6}}=>11
[6,5,1,4,3,2,7]=>[5,3,4,1,6,2,7]=>[5,7,3,4,2,6,1]=>{{1,5},{2,7},{3},{4},{6}}=>11
[6,5,1,4,3,7,2]=>[5,6,4,1,7,2,3]=>[5,7,1,4,2,3,6]=>{{1,5},{2,7},{3},{4},{6}}=>11
[6,5,1,4,7,2,3]=>[5,6,2,1,7,3,4]=>[5,4,7,1,2,3,6]=>{{1,5},{2,4},{3,7},{6}}=>8
[6,5,1,4,7,3,2]=>[5,3,6,1,7,2,4]=>[5,7,3,1,2,4,6]=>{{1,5},{2,7},{3},{4},{6}}=>11
[6,5,1,7,2,3,4]=>[5,6,2,3,7,4,1]=>[1,4,5,7,2,3,6]=>{{1},{2,4,7},{3,5},{6}}=>8
[6,5,1,7,2,4,3]=>[5,6,4,2,7,3,1]=>[1,5,7,4,2,3,6]=>{{1},{2,5},{3,7},{4},{6}}=>11
[6,5,1,7,3,2,4]=>[5,3,6,2,7,4,1]=>[1,5,3,7,2,4,6]=>{{1},{2,5},{3},{4,7},{6}}=>11
[6,5,1,7,3,4,2]=>[5,4,6,3,7,2,1]=>[1,7,5,3,2,4,6]=>{{1},{2,7},{3,5},{4},{6}}=>11
[6,5,1,7,4,2,3]=>[5,4,2,6,7,3,1]=>[1,4,7,3,2,5,6]=>{{1},{2,4},{3,7},{5},{6}}=>12
[6,5,1,7,4,3,2]=>[5,3,4,6,7,2,1]=>[1,7,3,4,2,5,6]=>{{1},{2,7},{3},{4},{5},{6}}=>15
[6,5,2,1,3,4,7]=>[2,5,1,3,6,4,7]=>[4,2,5,7,3,6,1]=>{{1,4,7},{2},{3,5},{6}}=>8
[6,5,2,1,3,7,4]=>[2,5,1,6,7,4,3]=>[4,2,1,7,3,5,6]=>{{1,4,7},{2},{3},{5},{6}}=>12
[6,5,2,1,4,3,7]=>[2,5,4,1,6,3,7]=>[5,2,7,4,3,6,1]=>{{1,5},{2},{3,7},{4},{6}}=>11
[6,5,2,1,4,7,3]=>[2,5,6,1,7,3,4]=>[5,2,7,1,3,4,6]=>{{1,5},{2},{3,7},{4},{6}}=>11
[6,5,2,1,7,3,4]=>[2,5,6,3,7,4,1]=>[1,2,5,7,3,4,6]=>{{1},{2},{3,5},{4,7},{6}}=>11
[6,5,2,1,7,4,3]=>[2,5,4,6,7,3,1]=>[1,2,7,4,3,5,6]=>{{1},{2},{3,7},{4},{5},{6}}=>15
[6,5,2,3,1,4,7]=>[3,5,2,1,6,4,7]=>[5,4,2,7,3,6,1]=>{{1,5},{2,4,7},{3},{6}}=>8
[6,5,2,3,1,7,4]=>[3,5,2,6,7,4,1]=>[1,4,2,7,3,5,6]=>{{1},{2,4,7},{3},{5},{6}}=>12
[6,5,2,3,4,1,7]=>[4,5,2,3,6,1,7]=>[7,4,5,2,3,6,1]=>{{1,7},{2,4},{3,5},{6}}=>8
[6,5,2,3,4,7,1]=>[7,5,2,3,6,4,1]=>[1,4,5,7,3,6,2]=>{{1},{2,4,7},{3,5},{6}}=>8
[6,5,2,3,7,1,4]=>[7,5,2,1,6,3,4]=>[5,4,7,1,3,6,2]=>{{1,5},{2,4},{3,7},{6}}=>8
[6,5,2,3,7,4,1]=>[4,7,2,5,6,1,3]=>[7,4,1,2,5,6,3]=>{{1,7},{2,4},{3},{5},{6}}=>12
[6,5,2,4,1,3,7]=>[4,5,1,2,6,3,7]=>[4,5,7,2,3,6,1]=>{{1,4},{2,5},{3,7},{6}}=>8
[6,5,2,4,1,7,3]=>[4,5,6,2,7,3,1]=>[1,5,7,2,3,4,6]=>{{1},{2,5},{3,7},{4},{6}}=>11
[6,5,2,4,3,1,7]=>[3,4,5,1,6,2,7]=>[5,7,2,3,4,6,1]=>{{1,5},{2,7},{3},{4},{6}}=>11
[6,5,2,4,3,7,1]=>[7,5,4,2,6,3,1]=>[1,5,7,4,3,6,2]=>{{1},{2,5},{3,7},{4},{6}}=>11
[6,5,2,4,7,1,3]=>[7,5,1,3,6,2,4]=>[4,7,5,1,3,6,2]=>{{1,4},{2,7},{3,5},{6}}=>8
[6,5,2,4,7,3,1]=>[3,7,5,2,6,1,4]=>[7,5,2,1,4,6,3]=>{{1,7},{2,5},{3},{4},{6}}=>11
[6,5,2,7,1,3,4]=>[7,5,1,2,6,4,3]=>[4,5,1,7,3,6,2]=>{{1,4,7},{2,5},{3},{6}}=>8
[6,5,2,7,1,4,3]=>[7,5,4,1,6,2,3]=>[5,7,1,4,3,6,2]=>{{1,5},{2,7},{3},{4},{6}}=>11
[6,5,2,7,3,1,4]=>[3,7,5,1,6,4,2]=>[5,1,2,7,4,6,3]=>{{1,5},{2},{3},{4,7},{6}}=>11
[6,5,2,7,3,4,1]=>[4,5,6,3,7,1,2]=>[7,1,5,2,3,4,6]=>{{1,7},{2},{3,5},{4},{6}}=>11
[6,5,2,7,4,1,3]=>[4,7,1,5,6,3,2]=>[4,1,7,2,5,6,3]=>{{1,4},{2},{3,7},{5},{6}}=>12
[6,5,2,7,4,3,1]=>[3,4,7,5,6,2,1]=>[1,7,2,3,5,6,4]=>{{1},{2,7},{3},{4},{5},{6}}=>15
[6,5,3,1,2,4,7]=>[3,1,5,2,6,4,7]=>[3,5,2,7,4,6,1]=>{{1,3},{2,5},{4,7},{6}}=>9
[6,5,3,1,2,7,4]=>[3,1,5,6,7,4,2]=>[3,1,2,7,4,5,6]=>{{1,3},{2},{4,7},{5},{6}}=>13
[6,5,3,1,4,2,7]=>[3,5,4,2,6,1,7]=>[7,5,2,4,3,6,1]=>{{1,7},{2,5},{3},{4},{6}}=>11
[6,5,3,1,4,7,2]=>[3,5,6,1,7,4,2]=>[5,1,2,7,3,4,6]=>{{1,5},{2},{3},{4,7},{6}}=>11
[6,5,3,1,7,2,4]=>[3,5,6,2,7,1,4]=>[7,5,2,1,3,4,6]=>{{1,7},{2,5},{3},{4},{6}}=>11
[6,5,3,1,7,4,2]=>[3,5,4,6,7,1,2]=>[7,1,2,4,3,5,6]=>{{1,7},{2},{3},{4},{5},{6}}=>15
[6,5,3,2,1,4,7]=>[2,3,5,1,6,4,7]=>[5,2,3,7,4,6,1]=>{{1,5},{2},{3},{4,7},{6}}=>11
[6,5,3,2,1,7,4]=>[2,3,5,6,7,4,1]=>[1,2,3,7,4,5,6]=>{{1},{2},{3},{4,7},{5},{6}}=>15
[6,5,3,2,4,1,7]=>[4,3,5,2,6,1,7]=>[7,5,3,2,4,6,1]=>{{1,7},{2,5},{3},{4},{6}}=>11
[6,5,3,2,4,7,1]=>[7,3,5,2,6,4,1]=>[1,5,3,7,4,6,2]=>{{1},{2,5},{3},{4,7},{6}}=>11
[6,5,3,2,7,1,4]=>[7,3,5,1,6,2,4]=>[5,7,3,1,4,6,2]=>{{1,5},{2,7},{3},{4},{6}}=>11
[6,5,3,2,7,4,1]=>[4,3,7,5,6,1,2]=>[7,1,3,2,5,6,4]=>{{1,7},{2},{3},{4},{5},{6}}=>15
[6,5,3,4,1,2,7]=>[4,1,5,3,6,2,7]=>[3,7,5,2,4,6,1]=>{{1,3,5},{2,7},{4},{6}}=>9
[6,5,3,4,1,7,2]=>[4,7,5,3,6,1,2]=>[7,1,5,2,4,6,3]=>{{1,7},{2},{3,5},{4},{6}}=>11
[6,5,3,4,2,1,7]=>[2,4,5,3,6,1,7]=>[7,2,5,3,4,6,1]=>{{1,7},{2},{3,5},{4},{6}}=>11
[6,5,3,4,2,7,1]=>[7,4,5,3,6,2,1]=>[1,7,5,3,4,6,2]=>{{1},{2,7},{3,5},{4},{6}}=>11
[6,5,3,4,7,1,2]=>[7,1,5,3,6,4,2]=>[3,1,5,7,4,6,2]=>{{1,3,5},{2},{4,7},{6}}=>9
[6,5,3,4,7,2,1]=>[2,7,5,3,6,4,1]=>[1,2,5,7,4,6,3]=>{{1},{2},{3,5},{4,7},{6}}=>11
[6,5,3,7,1,2,4]=>[7,1,5,2,6,3,4]=>[3,5,7,1,4,6,2]=>{{1,3,7},{2,5},{4},{6}}=>9
[6,5,3,7,1,4,2]=>[7,4,5,1,6,3,2]=>[5,1,7,3,4,6,2]=>{{1,5},{2},{3,7},{4},{6}}=>11
[6,5,3,7,2,1,4]=>[2,7,5,1,6,3,4]=>[5,2,7,1,4,6,3]=>{{1,5},{2},{3,7},{4},{6}}=>11
[6,5,3,7,2,4,1]=>[4,7,5,2,6,3,1]=>[1,5,7,2,4,6,3]=>{{1},{2,5},{3,7},{4},{6}}=>11
[6,5,3,7,4,1,2]=>[4,1,7,5,6,2,3]=>[3,7,1,2,5,6,4]=>{{1,3},{2,7},{4},{5},{6}}=>13
[6,5,3,7,4,2,1]=>[2,4,7,5,6,1,3]=>[7,2,1,3,5,6,4]=>{{1,7},{2},{3},{4},{5},{6}}=>15
[6,5,4,1,2,3,7]=>[4,1,2,5,6,3,7]=>[3,4,7,2,5,6,1]=>{{1,3,7},{2,4},{5},{6}}=>10
[6,5,4,1,2,7,3]=>[4,1,5,6,7,2,3]=>[3,7,1,2,4,5,6]=>{{1,3},{2,7},{4},{5},{6}}=>13
[6,5,4,1,3,2,7]=>[4,3,1,5,6,2,7]=>[4,7,3,2,5,6,1]=>{{1,4},{2,7},{3},{5},{6}}=>12
[6,5,4,1,3,7,2]=>[4,5,1,6,7,3,2]=>[4,1,7,2,3,5,6]=>{{1,4},{2},{3,7},{5},{6}}=>12
[6,5,4,1,7,2,3]=>[4,5,2,6,7,1,3]=>[7,4,1,2,3,5,6]=>{{1,7},{2,4},{3},{5},{6}}=>12
[6,5,4,1,7,3,2]=>[4,3,5,6,7,1,2]=>[7,1,3,2,4,5,6]=>{{1,7},{2},{3},{4},{5},{6}}=>15
[6,5,4,2,1,3,7]=>[2,4,1,5,6,3,7]=>[4,2,7,3,5,6,1]=>{{1,4},{2},{3,7},{5},{6}}=>12
[6,5,4,2,1,7,3]=>[2,4,5,6,7,1,3]=>[7,2,1,3,4,5,6]=>{{1,7},{2},{3},{4},{5},{6}}=>15
[6,5,4,2,3,1,7]=>[3,4,2,5,6,1,7]=>[7,4,2,3,5,6,1]=>{{1,7},{2,4},{3},{5},{6}}=>12
[6,5,4,2,3,7,1]=>[7,4,2,5,6,3,1]=>[1,4,7,3,5,6,2]=>{{1},{2,4},{3,7},{5},{6}}=>12
[6,5,4,2,7,1,3]=>[7,4,1,5,6,2,3]=>[4,7,1,3,5,6,2]=>{{1,4},{2,7},{3},{5},{6}}=>12
[6,5,4,2,7,3,1]=>[3,7,4,5,6,1,2]=>[7,1,2,4,5,6,3]=>{{1,7},{2},{3},{4},{5},{6}}=>15
[6,5,4,3,1,2,7]=>[3,1,4,5,6,2,7]=>[3,7,2,4,5,6,1]=>{{1,3},{2,7},{4},{5},{6}}=>13
[6,5,4,3,1,7,2]=>[3,4,5,6,7,2,1]=>[1,7,2,3,4,5,6]=>{{1},{2,7},{3},{4},{5},{6}}=>15
[6,5,4,3,2,1,7]=>[2,3,4,5,6,1,7]=>[7,2,3,4,5,6,1]=>{{1,7},{2},{3},{4},{5},{6}}=>15
[6,5,4,3,2,7,1]=>[7,3,4,5,6,2,1]=>[1,7,3,4,5,6,2]=>{{1},{2,7},{3},{4},{5},{6}}=>15
[6,5,4,3,7,1,2]=>[7,1,4,5,6,3,2]=>[3,1,7,4,5,6,2]=>{{1,3,7},{2},{4},{5},{6}}=>13
[6,5,4,3,7,2,1]=>[2,7,4,5,6,3,1]=>[1,2,7,4,5,6,3]=>{{1},{2},{3,7},{4},{5},{6}}=>15
[6,5,4,7,1,2,3]=>[7,1,2,5,6,4,3]=>[3,4,1,7,5,6,2]=>{{1,3},{2,4,7},{5},{6}}=>10
[6,5,4,7,1,3,2]=>[7,3,1,5,6,4,2]=>[4,1,3,7,5,6,2]=>{{1,4,7},{2},{3},{5},{6}}=>12
[6,5,4,7,2,1,3]=>[2,7,1,5,6,4,3]=>[4,2,1,7,5,6,3]=>{{1,4,7},{2},{3},{5},{6}}=>12
[6,5,4,7,2,3,1]=>[3,7,2,5,6,4,1]=>[1,4,2,7,5,6,3]=>{{1},{2,4,7},{3},{5},{6}}=>12
[6,5,4,7,3,1,2]=>[3,1,7,5,6,4,2]=>[3,1,2,7,5,6,4]=>{{1,3},{2},{4,7},{5},{6}}=>13
[6,5,4,7,3,2,1]=>[2,3,7,5,6,4,1]=>[1,2,3,7,5,6,4]=>{{1},{2},{3},{4,7},{5},{6}}=>15
[6,5,7,1,2,3,4]=>[7,1,2,3,6,5,4]=>[3,4,5,1,7,6,2]=>{{1,3,5,7},{2,4},{6}}=>6
[6,5,7,1,2,4,3]=>[7,1,4,2,6,5,3]=>[3,5,1,4,7,6,2]=>{{1,3},{2,5,7},{4},{6}}=>9
[6,5,7,1,3,2,4]=>[7,3,1,2,6,5,4]=>[4,5,3,1,7,6,2]=>{{1,4},{2,5,7},{3},{6}}=>8
[6,5,7,1,3,4,2]=>[7,4,1,3,6,5,2]=>[4,1,5,3,7,6,2]=>{{1,4},{2},{3,5,7},{6}}=>8
[6,5,7,1,4,2,3]=>[7,4,2,1,6,5,3]=>[5,4,1,3,7,6,2]=>{{1,5,7},{2,4},{3},{6}}=>8
[6,5,7,1,4,3,2]=>[7,3,4,1,6,5,2]=>[5,1,3,4,7,6,2]=>{{1,5,7},{2},{3},{4},{6}}=>11
[6,5,7,2,1,3,4]=>[2,7,1,3,6,5,4]=>[4,2,5,1,7,6,3]=>{{1,4},{2},{3,5,7},{6}}=>8
[6,5,7,2,1,4,3]=>[2,7,4,1,6,5,3]=>[5,2,1,4,7,6,3]=>{{1,5,7},{2},{3},{4},{6}}=>11
[6,5,7,2,3,1,4]=>[3,7,2,1,6,5,4]=>[5,4,2,1,7,6,3]=>{{1,5,7},{2,4},{3},{6}}=>8
[6,5,7,2,3,4,1]=>[4,7,2,3,6,5,1]=>[1,4,5,2,7,6,3]=>{{1},{2,4},{3,5,7},{6}}=>8
[6,5,7,2,4,1,3]=>[4,7,1,2,6,5,3]=>[4,5,1,2,7,6,3]=>{{1,4},{2,5,7},{3},{6}}=>8
[6,5,7,2,4,3,1]=>[3,4,7,1,6,5,2]=>[5,1,2,3,7,6,4]=>{{1,5,7},{2},{3},{4},{6}}=>11
[6,5,7,3,1,2,4]=>[3,1,7,2,6,5,4]=>[3,5,2,1,7,6,4]=>{{1,3},{2,5,7},{4},{6}}=>9
[6,5,7,3,1,4,2]=>[3,7,4,2,6,5,1]=>[1,5,2,4,7,6,3]=>{{1},{2,5,7},{3},{4},{6}}=>11
[6,5,7,3,2,1,4]=>[2,3,7,1,6,5,4]=>[5,2,3,1,7,6,4]=>{{1,5,7},{2},{3},{4},{6}}=>11
[6,5,7,3,2,4,1]=>[4,3,7,2,6,5,1]=>[1,5,3,2,7,6,4]=>{{1},{2,5,7},{3},{4},{6}}=>11
[6,5,7,3,4,1,2]=>[4,1,7,3,6,5,2]=>[3,1,5,2,7,6,4]=>{{1,3,5,7},{2},{4},{6}}=>9
[6,5,7,3,4,2,1]=>[2,4,7,3,6,5,1]=>[1,2,5,3,7,6,4]=>{{1},{2},{3,5,7},{4},{6}}=>11
[6,5,7,4,1,2,3]=>[4,1,2,7,6,5,3]=>[3,4,1,2,7,6,5]=>{{1,3},{2,4},{5,7},{6}}=>10
[6,5,7,4,1,3,2]=>[4,3,1,7,6,5,2]=>[4,1,3,2,7,6,5]=>{{1,4},{2},{3},{5,7},{6}}=>12
[6,5,7,4,2,1,3]=>[2,4,1,7,6,5,3]=>[4,2,1,3,7,6,5]=>{{1,4},{2},{3},{5,7},{6}}=>12
[6,5,7,4,2,3,1]=>[3,4,2,7,6,5,1]=>[1,4,2,3,7,6,5]=>{{1},{2,4},{3},{5,7},{6}}=>12
[6,5,7,4,3,1,2]=>[3,1,4,7,6,5,2]=>[3,1,2,4,7,6,5]=>{{1,3},{2},{4},{5,7},{6}}=>13
[6,5,7,4,3,2,1]=>[2,3,4,7,6,5,1]=>[1,2,3,4,7,6,5]=>{{1},{2},{3},{4},{5,7},{6}}=>15
[6,7,1,2,3,4,5]=>[7,1,2,3,4,6,5]=>[3,4,5,6,1,7,2]=>{{1,3,5},{2,4,6,7}}=>1
[6,7,1,2,3,5,4]=>[7,1,2,5,3,6,4]=>[3,4,6,1,5,7,2]=>{{1,3,6,7},{2,4},{5}}=>5
[6,7,1,2,4,3,5]=>[7,1,4,2,3,6,5]=>[3,5,6,4,1,7,2]=>{{1,3,6,7},{2,5},{4}}=>4
[6,7,1,2,4,5,3]=>[7,1,5,2,4,6,3]=>[3,5,1,6,4,7,2]=>{{1,3},{2,5},{4,6,7}}=>4
[6,7,1,2,5,3,4]=>[7,1,5,3,2,6,4]=>[3,6,5,1,4,7,2]=>{{1,3,5},{2,6,7},{4}}=>4
[6,7,1,2,5,4,3]=>[7,1,4,5,2,6,3]=>[3,6,1,4,5,7,2]=>{{1,3},{2,6,7},{4},{5}}=>8
[6,7,1,3,2,4,5]=>[7,3,1,2,4,6,5]=>[4,5,3,6,1,7,2]=>{{1,4,6,7},{2,5},{3}}=>3
[6,7,1,3,2,5,4]=>[7,3,1,5,2,6,4]=>[4,6,3,1,5,7,2]=>{{1,4},{2,6,7},{3},{5}}=>7
[6,7,1,3,4,2,5]=>[7,4,1,3,2,6,5]=>[4,6,5,3,1,7,2]=>{{1,4},{2,6,7},{3,5}}=>3
[6,7,1,3,4,5,2]=>[7,5,1,2,3,6,4]=>[4,5,6,1,3,7,2]=>{{1,4},{2,5},{3,6,7}}=>3
[6,7,1,3,5,2,4]=>[7,5,1,3,4,6,2]=>[4,1,5,6,3,7,2]=>{{1,4,6,7},{2},{3,5}}=>3
[6,7,1,3,5,4,2]=>[7,4,1,5,3,6,2]=>[4,1,6,3,5,7,2]=>{{1,4},{2},{3,6,7},{5}}=>7
[6,7,1,4,2,3,5]=>[7,4,2,1,3,6,5]=>[5,4,6,3,1,7,2]=>{{1,5},{2,4},{3,6,7}}=>3
[6,7,1,4,2,5,3]=>[7,4,5,1,2,6,3]=>[5,6,1,3,4,7,2]=>{{1,5},{2,6,7},{3},{4}}=>6
[6,7,1,4,3,2,5]=>[7,3,4,1,2,6,5]=>[5,6,3,4,1,7,2]=>{{1,5},{2,6,7},{3},{4}}=>6
[6,7,1,4,3,5,2]=>[7,5,4,1,3,6,2]=>[5,1,6,4,3,7,2]=>{{1,5},{2},{3,6,7},{4}}=>6
[6,7,1,4,5,2,3]=>[7,5,2,1,4,6,3]=>[5,4,1,6,3,7,2]=>{{1,5},{2,4,6,7},{3}}=>3
[6,7,1,4,5,3,2]=>[7,3,5,1,4,6,2]=>[5,1,3,6,4,7,2]=>{{1,5},{2},{3},{4,6,7}}=>6
[6,7,1,5,2,3,4]=>[7,5,2,3,1,6,4]=>[6,4,5,1,3,7,2]=>{{1,6,7},{2,4},{3,5}}=>3
[6,7,1,5,2,4,3]=>[7,5,4,2,1,6,3]=>[6,5,1,4,3,7,2]=>{{1,6,7},{2,5},{3},{4}}=>6
[6,7,1,5,3,2,4]=>[7,3,5,2,1,6,4]=>[6,5,3,1,4,7,2]=>{{1,6,7},{2,5},{3},{4}}=>6
[6,7,1,5,3,4,2]=>[7,4,5,3,1,6,2]=>[6,1,5,3,4,7,2]=>{{1,6,7},{2},{3,5},{4}}=>6
[6,7,1,5,4,2,3]=>[7,4,2,5,1,6,3]=>[6,4,1,3,5,7,2]=>{{1,6,7},{2,4},{3},{5}}=>7
[6,7,1,5,4,3,2]=>[7,3,4,5,1,6,2]=>[6,1,3,4,5,7,2]=>{{1,6,7},{2},{3},{4},{5}}=>10
[6,7,2,1,3,4,5]=>[2,7,1,3,4,6,5]=>[4,2,5,6,1,7,3]=>{{1,4,6,7},{2},{3,5}}=>3
[6,7,2,1,3,5,4]=>[2,7,1,5,3,6,4]=>[4,2,6,1,5,7,3]=>{{1,4},{2},{3,6,7},{5}}=>7
[6,7,2,1,4,3,5]=>[2,7,4,1,3,6,5]=>[5,2,6,4,1,7,3]=>{{1,5},{2},{3,6,7},{4}}=>6
[6,7,2,1,4,5,3]=>[2,7,5,1,4,6,3]=>[5,2,1,6,4,7,3]=>{{1,5},{2},{3},{4,6,7}}=>6
[6,7,2,1,5,3,4]=>[2,7,5,3,1,6,4]=>[6,2,5,1,4,7,3]=>{{1,6,7},{2},{3,5},{4}}=>6
[6,7,2,1,5,4,3]=>[2,7,4,5,1,6,3]=>[6,2,1,4,5,7,3]=>{{1,6,7},{2},{3},{4},{5}}=>10
[6,7,2,3,1,4,5]=>[3,7,2,1,4,6,5]=>[5,4,2,6,1,7,3]=>{{1,5},{2,4,6,7},{3}}=>3
[6,7,2,3,1,5,4]=>[3,7,2,5,1,6,4]=>[6,4,2,1,5,7,3]=>{{1,6,7},{2,4},{3},{5}}=>7
[6,7,2,3,4,1,5]=>[4,7,2,3,1,6,5]=>[6,4,5,2,1,7,3]=>{{1,6,7},{2,4},{3,5}}=>3
[6,7,2,3,4,5,1]=>[5,7,2,3,4,6,1]=>[1,4,5,6,2,7,3]=>{{1},{2,4,6,7},{3,5}}=>3
[6,7,2,3,5,1,4]=>[5,7,2,1,3,6,4]=>[5,4,6,1,2,7,3]=>{{1,5},{2,4},{3,6,7}}=>3
[6,7,2,3,5,4,1]=>[4,5,2,7,1,6,3]=>[6,4,1,2,3,7,5]=>{{1,6,7},{2,4},{3},{5}}=>7
[6,7,2,4,1,3,5]=>[4,7,1,2,3,6,5]=>[4,5,6,2,1,7,3]=>{{1,4},{2,5},{3,6,7}}=>3
[6,7,2,4,1,5,3]=>[4,7,5,2,1,6,3]=>[6,5,1,2,4,7,3]=>{{1,6,7},{2,5},{3},{4}}=>6
[6,7,2,4,3,1,5]=>[3,4,7,1,2,6,5]=>[5,6,2,3,1,7,4]=>{{1,5},{2,6,7},{3},{4}}=>6
[6,7,2,4,3,5,1]=>[5,7,4,2,3,6,1]=>[1,5,6,4,2,7,3]=>{{1},{2,5},{3,6,7},{4}}=>6
[6,7,2,4,5,1,3]=>[5,7,1,3,2,6,4]=>[4,6,5,1,2,7,3]=>{{1,4},{2,6,7},{3,5}}=>3
[6,7,2,4,5,3,1]=>[3,5,7,2,1,6,4]=>[6,5,2,1,3,7,4]=>{{1,6,7},{2,5},{3},{4}}=>6
[6,7,2,5,1,3,4]=>[5,7,1,2,4,6,3]=>[4,5,1,6,2,7,3]=>{{1,4,6,7},{2,5},{3}}=>3
[6,7,2,5,1,4,3]=>[5,7,4,1,2,6,3]=>[5,6,1,4,2,7,3]=>{{1,5},{2,6,7},{3},{4}}=>6
[6,7,2,5,3,1,4]=>[3,5,7,1,4,6,2]=>[5,1,2,6,3,7,4]=>{{1,5},{2},{3},{4,6,7}}=>6
[6,7,2,5,3,4,1]=>[4,7,5,3,2,6,1]=>[1,6,5,2,4,7,3]=>{{1},{2,6,7},{3,5},{4}}=>6
[6,7,2,5,4,1,3]=>[4,5,1,7,3,6,2]=>[4,1,6,2,3,7,5]=>{{1,4},{2},{3,6,7},{5}}=>7
[6,7,2,5,4,3,1]=>[3,4,5,7,2,6,1]=>[1,6,2,3,4,7,5]=>{{1},{2,6,7},{3},{4},{5}}=>10
[6,7,3,1,2,4,5]=>[3,1,7,2,4,6,5]=>[3,5,2,6,1,7,4]=>{{1,3},{2,5},{4,6,7}}=>4
[6,7,3,1,2,5,4]=>[3,1,7,5,2,6,4]=>[3,6,2,1,5,7,4]=>{{1,3},{2,6,7},{4},{5}}=>8
[6,7,3,1,4,2,5]=>[3,7,4,2,1,6,5]=>[6,5,2,4,1,7,3]=>{{1,6,7},{2,5},{3},{4}}=>6
[6,7,3,1,4,5,2]=>[3,7,5,1,2,6,4]=>[5,6,2,1,4,7,3]=>{{1,5},{2,6,7},{3},{4}}=>6
[6,7,3,1,5,2,4]=>[3,7,5,2,4,6,1]=>[1,5,2,6,4,7,3]=>{{1},{2,5},{3},{4,6,7}}=>6
[6,7,3,1,5,4,2]=>[3,7,4,5,2,6,1]=>[1,6,2,4,5,7,3]=>{{1},{2,6,7},{3},{4},{5}}=>10
[6,7,3,2,1,4,5]=>[2,3,7,1,4,6,5]=>[5,2,3,6,1,7,4]=>{{1,5},{2},{3},{4,6,7}}=>6
[6,7,3,2,1,5,4]=>[2,3,7,5,1,6,4]=>[6,2,3,1,5,7,4]=>{{1,6,7},{2},{3},{4},{5}}=>10
[6,7,3,2,4,1,5]=>[4,3,7,2,1,6,5]=>[6,5,3,2,1,7,4]=>{{1,6,7},{2,5},{3},{4}}=>6
[6,7,3,2,4,5,1]=>[5,3,7,2,4,6,1]=>[1,5,3,6,2,7,4]=>{{1},{2,5},{3},{4,6,7}}=>6
[6,7,3,2,5,1,4]=>[5,3,7,1,2,6,4]=>[5,6,3,1,2,7,4]=>{{1,5},{2,6,7},{3},{4}}=>6
[6,7,3,2,5,4,1]=>[4,3,5,7,1,6,2]=>[6,1,3,2,4,7,5]=>{{1,6,7},{2},{3},{4},{5}}=>10
[6,7,3,4,1,2,5]=>[4,1,7,3,2,6,5]=>[3,6,5,2,1,7,4]=>{{1,3,5},{2,6,7},{4}}=>4
[6,7,3,4,1,5,2]=>[4,5,7,3,1,6,2]=>[6,1,5,2,3,7,4]=>{{1,6,7},{2},{3,5},{4}}=>6
[6,7,3,4,2,1,5]=>[2,4,7,3,1,6,5]=>[6,2,5,3,1,7,4]=>{{1,6,7},{2},{3,5},{4}}=>6
[6,7,3,4,2,5,1]=>[5,4,7,3,2,6,1]=>[1,6,5,3,2,7,4]=>{{1},{2,6,7},{3,5},{4}}=>6
[6,7,3,4,5,1,2]=>[5,1,7,3,4,6,2]=>[3,1,5,6,2,7,4]=>{{1,3,5},{2},{4,6,7}}=>4
[6,7,3,4,5,2,1]=>[2,5,7,3,4,6,1]=>[1,2,5,6,3,7,4]=>{{1},{2},{3,5},{4,6,7}}=>6
[6,7,3,5,1,2,4]=>[5,1,7,2,3,6,4]=>[3,5,6,1,2,7,4]=>{{1,3,6,7},{2,5},{4}}=>4
[6,7,3,5,1,4,2]=>[5,4,7,1,3,6,2]=>[5,1,6,3,2,7,4]=>{{1,5},{2},{3,6,7},{4}}=>6
[6,7,3,5,2,1,4]=>[2,5,7,1,3,6,4]=>[5,2,6,1,3,7,4]=>{{1,5},{2},{3,6,7},{4}}=>6
[6,7,3,5,2,4,1]=>[4,5,7,2,3,6,1]=>[1,5,6,2,3,7,4]=>{{1},{2,5},{3,6,7},{4}}=>6
[6,7,3,5,4,1,2]=>[4,1,5,7,2,6,3]=>[3,6,1,2,4,7,5]=>{{1,3},{2,6,7},{4},{5}}=>8
[6,7,3,5,4,2,1]=>[2,4,5,7,1,6,3]=>[6,2,1,3,4,7,5]=>{{1,6,7},{2},{3},{4},{5}}=>10
[6,7,4,1,2,3,5]=>[4,1,2,7,3,6,5]=>[3,4,6,2,1,7,5]=>{{1,3,6,7},{2,4},{5}}=>5
[6,7,4,1,2,5,3]=>[4,1,7,5,3,6,2]=>[3,1,6,2,5,7,4]=>{{1,3,6,7},{2},{4},{5}}=>8
[6,7,4,1,3,2,5]=>[4,3,1,7,2,6,5]=>[4,6,3,2,1,7,5]=>{{1,4},{2,6,7},{3},{5}}=>7
[6,7,4,1,3,5,2]=>[4,7,1,5,2,6,3]=>[4,6,1,2,5,7,3]=>{{1,4},{2,6,7},{3},{5}}=>7
[6,7,4,1,5,2,3]=>[4,7,2,5,3,6,1]=>[1,4,6,2,5,7,3]=>{{1},{2,4},{3,6,7},{5}}=>7
[6,7,4,1,5,3,2]=>[4,3,7,5,2,6,1]=>[1,6,3,2,5,7,4]=>{{1},{2,6,7},{3},{4},{5}}=>10
[6,7,4,2,1,3,5]=>[2,4,1,7,3,6,5]=>[4,2,6,3,1,7,5]=>{{1,4},{2},{3,6,7},{5}}=>7
[6,7,4,2,1,5,3]=>[2,4,7,5,3,6,1]=>[1,2,6,3,5,7,4]=>{{1},{2},{3,6,7},{4},{5}}=>10
[6,7,4,2,3,1,5]=>[3,4,2,7,1,6,5]=>[6,4,2,3,1,7,5]=>{{1,6,7},{2,4},{3},{5}}=>7
[6,7,4,2,3,5,1]=>[5,4,2,7,3,6,1]=>[1,4,6,3,2,7,5]=>{{1},{2,4},{3,6,7},{5}}=>7
[6,7,4,2,5,1,3]=>[5,4,1,7,2,6,3]=>[4,6,1,3,2,7,5]=>{{1,4},{2,6,7},{3},{5}}=>7
[6,7,4,2,5,3,1]=>[3,5,4,7,1,6,2]=>[6,1,2,4,3,7,5]=>{{1,6,7},{2},{3},{4},{5}}=>10
[6,7,4,3,1,2,5]=>[3,1,4,7,2,6,5]=>[3,6,2,4,1,7,5]=>{{1,3},{2,6,7},{4},{5}}=>8
[6,7,4,3,1,5,2]=>[3,4,7,5,1,6,2]=>[6,1,2,3,5,7,4]=>{{1,6,7},{2},{3},{4},{5}}=>10
[6,7,4,3,2,1,5]=>[2,3,4,7,1,6,5]=>[6,2,3,4,1,7,5]=>{{1,6,7},{2},{3},{4},{5}}=>10
[6,7,4,3,2,5,1]=>[5,3,4,7,2,6,1]=>[1,6,3,4,2,7,5]=>{{1},{2,6,7},{3},{4},{5}}=>10
[6,7,4,3,5,1,2]=>[5,1,4,7,3,6,2]=>[3,1,6,4,2,7,5]=>{{1,3,6,7},{2},{4},{5}}=>8
[6,7,4,3,5,2,1]=>[2,5,4,7,3,6,1]=>[1,2,6,4,3,7,5]=>{{1},{2},{3,6,7},{4},{5}}=>10
[6,7,4,5,1,2,3]=>[5,1,2,7,4,6,3]=>[3,4,1,6,2,7,5]=>{{1,3},{2,4,6,7},{5}}=>5
[6,7,4,5,1,3,2]=>[5,3,1,7,4,6,2]=>[4,1,3,6,2,7,5]=>{{1,4,6,7},{2},{3},{5}}=>7
[6,7,4,5,2,1,3]=>[2,5,1,7,4,6,3]=>[4,2,1,6,3,7,5]=>{{1,4,6,7},{2},{3},{5}}=>7
[6,7,4,5,2,3,1]=>[3,5,2,7,4,6,1]=>[1,4,2,6,3,7,5]=>{{1},{2,4,6,7},{3},{5}}=>7
[6,7,4,5,3,1,2]=>[3,1,5,7,4,6,2]=>[3,1,2,6,4,7,5]=>{{1,3},{2},{4,6,7},{5}}=>8
[6,7,4,5,3,2,1]=>[2,3,5,7,4,6,1]=>[1,2,3,6,4,7,5]=>{{1},{2},{3},{4,6,7},{5}}=>10
[6,7,5,1,2,3,4]=>[5,1,2,3,7,6,4]=>[3,4,5,1,2,7,6]=>{{1,3,5},{2,4},{6,7}}=>6
[6,7,5,1,2,4,3]=>[5,1,4,2,7,6,3]=>[3,5,1,4,2,7,6]=>{{1,3},{2,5},{4},{6,7}}=>9
[6,7,5,1,3,2,4]=>[5,3,1,2,7,6,4]=>[4,5,3,1,2,7,6]=>{{1,4},{2,5},{3},{6,7}}=>8
[6,7,5,1,3,4,2]=>[5,4,1,3,7,6,2]=>[4,1,5,3,2,7,6]=>{{1,4},{2},{3,5},{6,7}}=>8
[6,7,5,1,4,2,3]=>[5,4,2,1,7,6,3]=>[5,4,1,3,2,7,6]=>{{1,5},{2,4},{3},{6,7}}=>8
[6,7,5,1,4,3,2]=>[5,3,4,1,7,6,2]=>[5,1,3,4,2,7,6]=>{{1,5},{2},{3},{4},{6,7}}=>11
[6,7,5,2,1,3,4]=>[2,5,1,3,7,6,4]=>[4,2,5,1,3,7,6]=>{{1,4},{2},{3,5},{6,7}}=>8
[6,7,5,2,1,4,3]=>[2,5,4,1,7,6,3]=>[5,2,1,4,3,7,6]=>{{1,5},{2},{3},{4},{6,7}}=>11
[6,7,5,2,3,1,4]=>[3,5,2,1,7,6,4]=>[5,4,2,1,3,7,6]=>{{1,5},{2,4},{3},{6,7}}=>8
[6,7,5,2,3,4,1]=>[4,5,2,3,7,6,1]=>[1,4,5,2,3,7,6]=>{{1},{2,4},{3,5},{6,7}}=>8
[6,7,5,2,4,1,3]=>[4,5,1,2,7,6,3]=>[4,5,1,2,3,7,6]=>{{1,4},{2,5},{3},{6,7}}=>8
[6,7,5,2,4,3,1]=>[3,4,5,1,7,6,2]=>[5,1,2,3,4,7,6]=>{{1,5},{2},{3},{4},{6,7}}=>11
[6,7,5,3,1,2,4]=>[3,1,5,2,7,6,4]=>[3,5,2,1,4,7,6]=>{{1,3},{2,5},{4},{6,7}}=>9
[6,7,5,3,1,4,2]=>[3,5,4,2,7,6,1]=>[1,5,2,4,3,7,6]=>{{1},{2,5},{3},{4},{6,7}}=>11
[6,7,5,3,2,1,4]=>[2,3,5,1,7,6,4]=>[5,2,3,1,4,7,6]=>{{1,5},{2},{3},{4},{6,7}}=>11
[6,7,5,3,2,4,1]=>[4,3,5,2,7,6,1]=>[1,5,3,2,4,7,6]=>{{1},{2,5},{3},{4},{6,7}}=>11
[6,7,5,3,4,1,2]=>[4,1,5,3,7,6,2]=>[3,1,5,2,4,7,6]=>{{1,3,5},{2},{4},{6,7}}=>9
[6,7,5,3,4,2,1]=>[2,4,5,3,7,6,1]=>[1,2,5,3,4,7,6]=>{{1},{2},{3,5},{4},{6,7}}=>11
[6,7,5,4,1,2,3]=>[4,1,2,5,7,6,3]=>[3,4,1,2,5,7,6]=>{{1,3},{2,4},{5},{6,7}}=>10
[6,7,5,4,1,3,2]=>[4,3,1,5,7,6,2]=>[4,1,3,2,5,7,6]=>{{1,4},{2},{3},{5},{6,7}}=>12
[6,7,5,4,2,1,3]=>[2,4,1,5,7,6,3]=>[4,2,1,3,5,7,6]=>{{1,4},{2},{3},{5},{6,7}}=>12
[6,7,5,4,2,3,1]=>[3,4,2,5,7,6,1]=>[1,4,2,3,5,7,6]=>{{1},{2,4},{3},{5},{6,7}}=>12
[6,7,5,4,3,1,2]=>[3,1,4,5,7,6,2]=>[3,1,2,4,5,7,6]=>{{1,3},{2},{4},{5},{6,7}}=>13
[6,7,5,4,3,2,1]=>[2,3,4,5,7,6,1]=>[1,2,3,4,5,7,6]=>{{1},{2},{3},{4},{5},{6,7}}=>15
[7,1,2,3,4,5,6]=>[7,1,2,3,4,5,6]=>[3,4,5,6,7,1,2]=>{{1,3,5,7},{2,4,6}}=>1
[7,1,2,3,4,6,5]=>[7,1,2,3,6,4,5]=>[3,4,5,7,1,6,2]=>{{1,3,5},{2,4,7},{6}}=>6
[7,1,2,3,5,4,6]=>[7,1,2,5,3,4,6]=>[3,4,6,7,5,1,2]=>{{1,3,6},{2,4,7},{5}}=>5
[7,1,2,3,5,6,4]=>[7,1,2,6,3,5,4]=>[3,4,6,1,7,5,2]=>{{1,3,6},{2,4},{5,7}}=>5
[7,1,2,3,6,4,5]=>[7,1,2,6,4,3,5]=>[3,4,7,6,1,5,2]=>{{1,3,7},{2,4,6},{5}}=>5
[7,1,2,3,6,5,4]=>[7,1,2,5,6,3,4]=>[3,4,7,1,5,6,2]=>{{1,3,7},{2,4},{5},{6}}=>10
[7,1,2,4,3,5,6]=>[7,1,4,2,3,5,6]=>[3,5,6,4,7,1,2]=>{{1,3,6},{2,5,7},{4}}=>4
[7,1,2,4,3,6,5]=>[7,1,4,2,6,3,5]=>[3,5,7,4,1,6,2]=>{{1,3,7},{2,5},{4},{6}}=>9
[7,1,2,4,5,3,6]=>[7,1,5,2,4,3,6]=>[3,5,7,6,4,1,2]=>{{1,3,7},{2,5},{4,6}}=>4
[7,1,2,4,5,6,3]=>[7,1,6,2,3,4,5]=>[3,5,6,7,1,4,2]=>{{1,3,6},{2,5},{4,7}}=>4
[7,1,2,4,6,3,5]=>[7,1,6,2,4,5,3]=>[3,5,1,6,7,4,2]=>{{1,3},{2,5,7},{4,6}}=>4
[7,1,2,4,6,5,3]=>[7,1,5,2,6,4,3]=>[3,5,1,7,4,6,2]=>{{1,3},{2,5},{4,7},{6}}=>9
[7,1,2,5,3,4,6]=>[7,1,5,3,2,4,6]=>[3,6,5,7,4,1,2]=>{{1,3,5},{2,6},{4,7}}=>4
[7,1,2,5,3,6,4]=>[7,1,5,6,2,3,4]=>[3,6,7,1,4,5,2]=>{{1,3,7},{2,6},{4},{5}}=>8
[7,1,2,5,4,3,6]=>[7,1,4,5,2,3,6]=>[3,6,7,4,5,1,2]=>{{1,3,7},{2,6},{4},{5}}=>8
[7,1,2,5,4,6,3]=>[7,1,6,5,2,4,3]=>[3,6,1,7,5,4,2]=>{{1,3},{2,6},{4,7},{5}}=>8
[7,1,2,5,6,3,4]=>[7,1,6,3,2,5,4]=>[3,6,5,1,7,4,2]=>{{1,3,5,7},{2,6},{4}}=>4
[7,1,2,5,6,4,3]=>[7,1,4,6,2,5,3]=>[3,6,1,4,7,5,2]=>{{1,3},{2,6},{4},{5,7}}=>8
[7,1,2,6,3,4,5]=>[7,1,6,3,4,2,5]=>[3,7,5,6,1,4,2]=>{{1,3,5},{2,7},{4,6}}=>4
[7,1,2,6,3,5,4]=>[7,1,6,5,3,2,4]=>[3,7,6,1,5,4,2]=>{{1,3,6},{2,7},{4},{5}}=>8
[7,1,2,6,4,3,5]=>[7,1,4,6,3,2,5]=>[3,7,6,4,1,5,2]=>{{1,3,6},{2,7},{4},{5}}=>8
[7,1,2,6,4,5,3]=>[7,1,5,6,4,2,3]=>[3,7,1,6,4,5,2]=>{{1,3},{2,7},{4,6},{5}}=>8
[7,1,2,6,5,3,4]=>[7,1,5,3,6,2,4]=>[3,7,5,1,4,6,2]=>{{1,3,5},{2,7},{4},{6}}=>9
[7,1,2,6,5,4,3]=>[7,1,4,5,6,2,3]=>[3,7,1,4,5,6,2]=>{{1,3},{2,7},{4},{5},{6}}=>13
[7,1,3,2,4,5,6]=>[7,3,1,2,4,5,6]=>[4,5,3,6,7,1,2]=>{{1,4,6},{2,5,7},{3}}=>3
[7,1,3,2,4,6,5]=>[7,3,1,2,6,4,5]=>[4,5,3,7,1,6,2]=>{{1,4,7},{2,5},{3},{6}}=>8
[7,1,3,2,5,4,6]=>[7,3,1,5,2,4,6]=>[4,6,3,7,5,1,2]=>{{1,4,7},{2,6},{3},{5}}=>7
[7,1,3,2,5,6,4]=>[7,3,1,6,2,5,4]=>[4,6,3,1,7,5,2]=>{{1,4},{2,6},{3},{5,7}}=>7
[7,1,3,2,6,4,5]=>[7,3,1,6,4,2,5]=>[4,7,3,6,1,5,2]=>{{1,4,6},{2,7},{3},{5}}=>7
[7,1,3,2,6,5,4]=>[7,3,1,5,6,2,4]=>[4,7,3,1,5,6,2]=>{{1,4},{2,7},{3},{5},{6}}=>12
[7,1,3,4,2,5,6]=>[7,4,1,3,2,5,6]=>[4,6,5,3,7,1,2]=>{{1,4},{2,6},{3,5,7}}=>3
[7,1,3,4,2,6,5]=>[7,4,1,3,6,2,5]=>[4,7,5,3,1,6,2]=>{{1,4},{2,7},{3,5},{6}}=>8
[7,1,3,4,5,2,6]=>[7,5,1,2,3,4,6]=>[4,5,6,7,3,1,2]=>{{1,4,7},{2,5},{3,6}}=>3
[7,1,3,4,5,6,2]=>[7,6,1,2,3,5,4]=>[4,5,6,1,7,3,2]=>{{1,4},{2,5,7},{3,6}}=>3
[7,1,3,4,6,2,5]=>[7,6,1,2,4,3,5]=>[4,5,7,6,1,3,2]=>{{1,4,6},{2,5},{3,7}}=>3
[7,1,3,4,6,5,2]=>[7,5,1,2,6,3,4]=>[4,5,7,1,3,6,2]=>{{1,4},{2,5},{3,7},{6}}=>8
[7,1,3,5,2,4,6]=>[7,5,1,3,4,2,6]=>[4,7,5,6,3,1,2]=>{{1,4,6},{2,7},{3,5}}=>3
[7,1,3,5,2,6,4]=>[7,5,1,6,3,2,4]=>[4,7,6,1,3,5,2]=>{{1,4},{2,7},{3,6},{5}}=>7
[7,1,3,5,4,2,6]=>[7,4,1,5,3,2,6]=>[4,7,6,3,5,1,2]=>{{1,4},{2,7},{3,6},{5}}=>7
[7,1,3,5,4,6,2]=>[7,6,1,5,2,3,4]=>[4,6,7,1,5,3,2]=>{{1,4},{2,6},{3,7},{5}}=>7
[7,1,3,5,6,2,4]=>[7,6,1,3,2,4,5]=>[4,6,5,7,1,3,2]=>{{1,4,7},{2,6},{3,5}}=>3
[7,1,3,5,6,4,2]=>[7,4,1,6,2,3,5]=>[4,6,7,3,1,5,2]=>{{1,4},{2,6},{3,7},{5}}=>7
[7,1,3,6,2,4,5]=>[7,6,1,3,4,5,2]=>[4,1,5,6,7,3,2]=>{{1,4,6},{2},{3,5,7}}=>3
[7,1,3,6,2,5,4]=>[7,6,1,5,3,4,2]=>[4,1,6,7,5,3,2]=>{{1,4,7},{2},{3,6},{5}}=>7
[7,1,3,6,4,2,5]=>[7,4,1,6,3,5,2]=>[4,1,6,3,7,5,2]=>{{1,4},{2},{3,6},{5,7}}=>7
[7,1,3,6,4,5,2]=>[7,5,1,6,4,3,2]=>[4,1,7,6,3,5,2]=>{{1,4,6},{2},{3,7},{5}}=>7
[7,1,3,6,5,2,4]=>[7,5,1,3,6,4,2]=>[4,1,5,7,3,6,2]=>{{1,4,7},{2},{3,5},{6}}=>8
[7,1,3,6,5,4,2]=>[7,4,1,5,6,3,2]=>[4,1,7,3,5,6,2]=>{{1,4},{2},{3,7},{5},{6}}=>12
[7,1,4,2,3,5,6]=>[7,4,2,1,3,5,6]=>[5,4,6,3,7,1,2]=>{{1,5,7},{2,4},{3,6}}=>3
[7,1,4,2,3,6,5]=>[7,4,2,1,6,3,5]=>[5,4,7,3,1,6,2]=>{{1,5},{2,4},{3,7},{6}}=>8
[7,1,4,2,5,3,6]=>[7,4,5,1,2,3,6]=>[5,6,7,3,4,1,2]=>{{1,5},{2,6},{3,7},{4}}=>6
[7,1,4,2,5,6,3]=>[7,4,6,1,2,5,3]=>[5,6,1,3,7,4,2]=>{{1,5,7},{2,6},{3},{4}}=>6
[7,1,4,2,6,3,5]=>[7,4,6,1,3,2,5]=>[5,7,6,3,1,4,2]=>{{1,5},{2,7},{3,6},{4}}=>6
[7,1,4,2,6,5,3]=>[7,4,5,1,6,2,3]=>[5,7,1,3,4,6,2]=>{{1,5},{2,7},{3},{4},{6}}=>11
[7,1,4,3,2,5,6]=>[7,3,4,1,2,5,6]=>[5,6,3,4,7,1,2]=>{{1,5,7},{2,6},{3},{4}}=>6
[7,1,4,3,2,6,5]=>[7,3,4,1,6,2,5]=>[5,7,3,4,1,6,2]=>{{1,5},{2,7},{3},{4},{6}}=>11
[7,1,4,3,5,2,6]=>[7,5,4,1,3,2,6]=>[5,7,6,4,3,1,2]=>{{1,5},{2,7},{3,6},{4}}=>6
[7,1,4,3,5,6,2]=>[7,6,4,1,2,3,5]=>[5,6,7,4,1,3,2]=>{{1,5},{2,6},{3,7},{4}}=>6
[7,1,4,3,6,2,5]=>[7,6,4,1,3,5,2]=>[5,1,6,4,7,3,2]=>{{1,5,7},{2},{3,6},{4}}=>6
[7,1,4,3,6,5,2]=>[7,5,4,1,6,3,2]=>[5,1,7,4,3,6,2]=>{{1,5},{2},{3,7},{4},{6}}=>11
[7,1,4,5,2,3,6]=>[7,5,2,1,4,3,6]=>[5,4,7,6,3,1,2]=>{{1,5},{2,4,6},{3,7}}=>3
[7,1,4,5,2,6,3]=>[7,5,6,1,3,4,2]=>[5,1,6,7,3,4,2]=>{{1,5},{2},{3,6},{4,7}}=>6
[7,1,4,5,3,2,6]=>[7,3,5,1,4,2,6]=>[5,7,3,6,4,1,2]=>{{1,5},{2,7},{3},{4,6}}=>6
[7,1,4,5,3,6,2]=>[7,6,5,1,2,4,3]=>[5,6,1,7,4,3,2]=>{{1,5},{2,6},{3},{4,7}}=>6
[7,1,4,5,6,2,3]=>[7,6,2,1,3,4,5]=>[5,4,6,7,1,3,2]=>{{1,5},{2,4,7},{3,6}}=>3
[7,1,4,5,6,3,2]=>[7,3,6,1,2,4,5]=>[5,6,3,7,1,4,2]=>{{1,5},{2,6},{3},{4,7}}=>6
[7,1,4,6,2,3,5]=>[7,6,2,1,4,5,3]=>[5,4,1,6,7,3,2]=>{{1,5,7},{2,4,6},{3}}=>3
[7,1,4,6,2,5,3]=>[7,6,5,1,4,3,2]=>[5,1,7,6,4,3,2]=>{{1,5},{2},{3,7},{4,6}}=>6
[7,1,4,6,3,2,5]=>[7,3,6,1,4,5,2]=>[5,1,3,6,7,4,2]=>{{1,5,7},{2},{3},{4,6}}=>6
[7,1,4,6,3,5,2]=>[7,5,6,1,4,2,3]=>[5,7,1,6,3,4,2]=>{{1,5},{2,7},{3},{4,6}}=>6
[7,1,4,6,5,2,3]=>[7,5,2,1,6,4,3]=>[5,4,1,7,3,6,2]=>{{1,5},{2,4,7},{3},{6}}=>8
[7,1,4,6,5,3,2]=>[7,3,5,1,6,4,2]=>[5,1,3,7,4,6,2]=>{{1,5},{2},{3},{4,7},{6}}=>11
[7,1,5,2,3,4,6]=>[7,5,2,3,1,4,6]=>[6,4,5,7,3,1,2]=>{{1,6},{2,4,7},{3,5}}=>3
[7,1,5,2,3,6,4]=>[7,5,2,6,1,3,4]=>[6,4,7,1,3,5,2]=>{{1,6},{2,4},{3,7},{5}}=>7
[7,1,5,2,4,3,6]=>[7,5,4,2,1,3,6]=>[6,5,7,4,3,1,2]=>{{1,6},{2,5},{3,7},{4}}=>6
[7,1,5,2,4,6,3]=>[7,5,6,2,1,4,3]=>[6,5,1,7,3,4,2]=>{{1,6},{2,5},{3},{4,7}}=>6
[7,1,5,2,6,3,4]=>[7,5,6,3,1,2,4]=>[6,7,5,1,3,4,2]=>{{1,6},{2,7},{3,5},{4}}=>6
[7,1,5,2,6,4,3]=>[7,5,4,6,1,2,3]=>[6,7,1,4,3,5,2]=>{{1,6},{2,7},{3},{4},{5}}=>10
[7,1,5,3,2,4,6]=>[7,3,5,2,1,4,6]=>[6,5,3,7,4,1,2]=>{{1,6},{2,5},{3},{4,7}}=>6
[7,1,5,3,2,6,4]=>[7,3,5,6,1,2,4]=>[6,7,3,1,4,5,2]=>{{1,6},{2,7},{3},{4},{5}}=>10
[7,1,5,3,4,2,6]=>[7,4,5,3,1,2,6]=>[6,7,5,3,4,1,2]=>{{1,6},{2,7},{3,5},{4}}=>6
[7,1,5,3,4,6,2]=>[7,6,5,3,1,4,2]=>[6,1,5,7,4,3,2]=>{{1,6},{2},{3,5},{4,7}}=>6
[7,1,5,3,6,2,4]=>[7,6,5,2,1,3,4]=>[6,5,7,1,4,3,2]=>{{1,6},{2,5},{3,7},{4}}=>6
[7,1,5,3,6,4,2]=>[7,4,6,5,1,2,3]=>[6,7,1,3,5,4,2]=>{{1,6},{2,7},{3},{4},{5}}=>10
[7,1,5,4,2,3,6]=>[7,4,2,5,1,3,6]=>[6,4,7,3,5,1,2]=>{{1,6},{2,4},{3,7},{5}}=>7
[7,1,5,4,2,6,3]=>[7,4,5,6,1,3,2]=>[6,1,7,3,4,5,2]=>{{1,6},{2},{3,7},{4},{5}}=>10
[7,1,5,4,3,2,6]=>[7,3,4,5,1,2,6]=>[6,7,3,4,5,1,2]=>{{1,6},{2,7},{3},{4},{5}}=>10
[7,1,5,4,3,6,2]=>[7,6,4,5,1,3,2]=>[6,1,7,4,5,3,2]=>{{1,6},{2},{3,7},{4},{5}}=>10
[7,1,5,4,6,2,3]=>[7,6,2,5,1,4,3]=>[6,4,1,7,5,3,2]=>{{1,6},{2,4,7},{3},{5}}=>7
[7,1,5,4,6,3,2]=>[7,3,6,5,1,4,2]=>[6,1,3,7,5,4,2]=>{{1,6},{2},{3},{4,7},{5}}=>10
[7,1,5,6,2,3,4]=>[7,6,2,3,1,5,4]=>[6,4,5,1,7,3,2]=>{{1,6},{2,4},{3,5,7}}=>3
[7,1,5,6,2,4,3]=>[7,6,4,2,1,5,3]=>[6,5,1,4,7,3,2]=>{{1,6},{2,5,7},{3},{4}}=>6
[7,1,5,6,3,2,4]=>[7,3,6,2,1,5,4]=>[6,5,3,1,7,4,2]=>{{1,6},{2,5,7},{3},{4}}=>6
[7,1,5,6,3,4,2]=>[7,4,6,3,1,5,2]=>[6,1,5,3,7,4,2]=>{{1,6},{2},{3,5,7},{4}}=>6
[7,1,5,6,4,2,3]=>[7,4,2,6,1,5,3]=>[6,4,1,3,7,5,2]=>{{1,6},{2,4},{3},{5,7}}=>7
[7,1,5,6,4,3,2]=>[7,3,4,6,1,5,2]=>[6,1,3,4,7,5,2]=>{{1,6},{2},{3},{4},{5,7}}=>10
[7,1,6,2,3,4,5]=>[7,6,2,3,4,1,5]=>[7,4,5,6,1,3,2]=>{{1,7},{2,4,6},{3,5}}=>3
[7,1,6,2,3,5,4]=>[7,6,2,5,3,1,4]=>[7,4,6,1,5,3,2]=>{{1,7},{2,4},{3,6},{5}}=>7
[7,1,6,2,4,3,5]=>[7,6,4,2,3,1,5]=>[7,5,6,4,1,3,2]=>{{1,7},{2,5},{3,6},{4}}=>6
[7,1,6,2,4,5,3]=>[7,6,5,2,4,1,3]=>[7,5,1,6,4,3,2]=>{{1,7},{2,5},{3},{4,6}}=>6
[7,1,6,2,5,3,4]=>[7,6,5,3,2,1,4]=>[7,6,5,1,4,3,2]=>{{1,7},{2,6},{3,5},{4}}=>6
[7,1,6,2,5,4,3]=>[7,6,4,5,2,1,3]=>[7,6,1,4,5,3,2]=>{{1,7},{2,6},{3},{4},{5}}=>10
[7,1,6,3,2,4,5]=>[7,3,6,2,4,1,5]=>[7,5,3,6,1,4,2]=>{{1,7},{2,5},{3},{4,6}}=>6
[7,1,6,3,2,5,4]=>[7,3,6,5,2,1,4]=>[7,6,3,1,5,4,2]=>{{1,7},{2,6},{3},{4},{5}}=>10
[7,1,6,3,4,2,5]=>[7,4,6,3,2,1,5]=>[7,6,5,3,1,4,2]=>{{1,7},{2,6},{3,5},{4}}=>6
[7,1,6,3,4,5,2]=>[7,5,6,3,4,1,2]=>[7,1,5,6,3,4,2]=>{{1,7},{2},{3,5},{4,6}}=>6
[7,1,6,3,5,2,4]=>[7,5,6,2,3,1,4]=>[7,5,6,1,3,4,2]=>{{1,7},{2,5},{3,6},{4}}=>6
[7,1,6,3,5,4,2]=>[7,4,5,6,2,1,3]=>[7,6,1,3,4,5,2]=>{{1,7},{2,6},{3},{4},{5}}=>10
[7,1,6,4,2,3,5]=>[7,4,2,6,3,1,5]=>[7,4,6,3,1,5,2]=>{{1,7},{2,4},{3,6},{5}}=>7
[7,1,6,4,2,5,3]=>[7,4,6,5,3,1,2]=>[7,1,6,3,5,4,2]=>{{1,7},{2},{3,6},{4},{5}}=>10
[7,1,6,4,3,2,5]=>[7,3,4,6,2,1,5]=>[7,6,3,4,1,5,2]=>{{1,7},{2,6},{3},{4},{5}}=>10
[7,1,6,4,3,5,2]=>[7,5,4,6,3,1,2]=>[7,1,6,4,3,5,2]=>{{1,7},{2},{3,6},{4},{5}}=>10
[7,1,6,4,5,2,3]=>[7,5,2,6,4,1,3]=>[7,4,1,6,3,5,2]=>{{1,7},{2,4,6},{3},{5}}=>7
[7,1,6,4,5,3,2]=>[7,3,5,6,4,1,2]=>[7,1,3,6,4,5,2]=>{{1,7},{2},{3},{4,6},{5}}=>10
[7,1,6,5,2,3,4]=>[7,5,2,3,6,1,4]=>[7,4,5,1,3,6,2]=>{{1,7},{2,4},{3,5},{6}}=>8
[7,1,6,5,2,4,3]=>[7,5,4,2,6,1,3]=>[7,5,1,4,3,6,2]=>{{1,7},{2,5},{3},{4},{6}}=>11
[7,1,6,5,3,2,4]=>[7,3,5,2,6,1,4]=>[7,5,3,1,4,6,2]=>{{1,7},{2,5},{3},{4},{6}}=>11
[7,1,6,5,3,4,2]=>[7,4,5,3,6,1,2]=>[7,1,5,3,4,6,2]=>{{1,7},{2},{3,5},{4},{6}}=>11
[7,1,6,5,4,2,3]=>[7,4,2,5,6,1,3]=>[7,4,1,3,5,6,2]=>{{1,7},{2,4},{3},{5},{6}}=>12
[7,1,6,5,4,3,2]=>[7,3,4,5,6,1,2]=>[7,1,3,4,5,6,2]=>{{1,7},{2},{3},{4},{5},{6}}=>15
[7,2,1,3,4,5,6]=>[2,7,1,3,4,5,6]=>[4,2,5,6,7,1,3]=>{{1,4,6},{2},{3,5,7}}=>3
[7,2,1,3,4,6,5]=>[2,7,1,3,6,4,5]=>[4,2,5,7,1,6,3]=>{{1,4,7},{2},{3,5},{6}}=>8
[7,2,1,3,5,4,6]=>[2,7,1,5,3,4,6]=>[4,2,6,7,5,1,3]=>{{1,4,7},{2},{3,6},{5}}=>7
[7,2,1,3,5,6,4]=>[2,7,1,6,3,5,4]=>[4,2,6,1,7,5,3]=>{{1,4},{2},{3,6},{5,7}}=>7
[7,2,1,3,6,4,5]=>[2,7,1,6,4,3,5]=>[4,2,7,6,1,5,3]=>{{1,4,6},{2},{3,7},{5}}=>7
[7,2,1,3,6,5,4]=>[2,7,1,5,6,3,4]=>[4,2,7,1,5,6,3]=>{{1,4},{2},{3,7},{5},{6}}=>12
[7,2,1,4,3,5,6]=>[2,7,4,1,3,5,6]=>[5,2,6,4,7,1,3]=>{{1,5,7},{2},{3,6},{4}}=>6
[7,2,1,4,3,6,5]=>[2,7,4,1,6,3,5]=>[5,2,7,4,1,6,3]=>{{1,5},{2},{3,7},{4},{6}}=>11
[7,2,1,4,5,3,6]=>[2,7,5,1,4,3,6]=>[5,2,7,6,4,1,3]=>{{1,5},{2},{3,7},{4,6}}=>6
[7,2,1,4,5,6,3]=>[2,7,6,1,3,4,5]=>[5,2,6,7,1,4,3]=>{{1,5},{2},{3,6},{4,7}}=>6
[7,2,1,4,6,3,5]=>[2,7,6,1,4,5,3]=>[5,2,1,6,7,4,3]=>{{1,5,7},{2},{3},{4,6}}=>6
[7,2,1,4,6,5,3]=>[2,7,5,1,6,4,3]=>[5,2,1,7,4,6,3]=>{{1,5},{2},{3},{4,7},{6}}=>11
[7,2,1,5,3,4,6]=>[2,7,5,3,1,4,6]=>[6,2,5,7,4,1,3]=>{{1,6},{2},{3,5},{4,7}}=>6
[7,2,1,5,3,6,4]=>[2,7,5,6,1,3,4]=>[6,2,7,1,4,5,3]=>{{1,6},{2},{3,7},{4},{5}}=>10
[7,2,1,5,4,3,6]=>[2,7,4,5,1,3,6]=>[6,2,7,4,5,1,3]=>{{1,6},{2},{3,7},{4},{5}}=>10
[7,2,1,5,4,6,3]=>[2,7,6,5,1,4,3]=>[6,2,1,7,5,4,3]=>{{1,6},{2},{3},{4,7},{5}}=>10
[7,2,1,5,6,3,4]=>[2,7,6,3,1,5,4]=>[6,2,5,1,7,4,3]=>{{1,6},{2},{3,5,7},{4}}=>6
[7,2,1,5,6,4,3]=>[2,7,4,6,1,5,3]=>[6,2,1,4,7,5,3]=>{{1,6},{2},{3},{4},{5,7}}=>10
[7,2,1,6,3,4,5]=>[2,7,6,3,4,1,5]=>[7,2,5,6,1,4,3]=>{{1,7},{2},{3,5},{4,6}}=>6
[7,2,1,6,3,5,4]=>[2,7,6,5,3,1,4]=>[7,2,6,1,5,4,3]=>{{1,7},{2},{3,6},{4},{5}}=>10
[7,2,1,6,4,3,5]=>[2,7,4,6,3,1,5]=>[7,2,6,4,1,5,3]=>{{1,7},{2},{3,6},{4},{5}}=>10
[7,2,1,6,4,5,3]=>[2,7,5,6,4,1,3]=>[7,2,1,6,4,5,3]=>{{1,7},{2},{3},{4,6},{5}}=>10
[7,2,1,6,5,3,4]=>[2,7,5,3,6,1,4]=>[7,2,5,1,4,6,3]=>{{1,7},{2},{3,5},{4},{6}}=>11
[7,2,1,6,5,4,3]=>[2,7,4,5,6,1,3]=>[7,2,1,4,5,6,3]=>{{1,7},{2},{3},{4},{5},{6}}=>15
[7,2,3,1,4,5,6]=>[3,7,2,1,4,5,6]=>[5,4,2,6,7,1,3]=>{{1,5,7},{2,4,6},{3}}=>3
[7,2,3,1,4,6,5]=>[3,7,2,1,6,4,5]=>[5,4,2,7,1,6,3]=>{{1,5},{2,4,7},{3},{6}}=>8
[7,2,3,1,5,4,6]=>[3,7,2,5,1,4,6]=>[6,4,2,7,5,1,3]=>{{1,6},{2,4,7},{3},{5}}=>7
[7,2,3,1,5,6,4]=>[3,7,2,6,1,5,4]=>[6,4,2,1,7,5,3]=>{{1,6},{2,4},{3},{5,7}}=>7
[7,2,3,1,6,4,5]=>[3,7,2,6,4,1,5]=>[7,4,2,6,1,5,3]=>{{1,7},{2,4,6},{3},{5}}=>7
[7,2,3,1,6,5,4]=>[3,7,2,5,6,1,4]=>[7,4,2,1,5,6,3]=>{{1,7},{2,4},{3},{5},{6}}=>12
[7,2,3,4,1,5,6]=>[4,7,2,3,1,5,6]=>[6,4,5,2,7,1,3]=>{{1,6},{2,4},{3,5,7}}=>3
[7,2,3,4,1,6,5]=>[4,7,2,3,6,1,5]=>[7,4,5,2,1,6,3]=>{{1,7},{2,4},{3,5},{6}}=>8
[7,2,3,4,5,1,6]=>[5,7,2,3,4,1,6]=>[7,4,5,6,2,1,3]=>{{1,7},{2,4,6},{3,5}}=>3
[7,2,3,4,5,6,1]=>[6,7,2,3,4,5,1]=>[1,4,5,6,7,2,3]=>{{1},{2,4,6},{3,5,7}}=>3
[7,2,3,4,6,1,5]=>[6,7,2,3,1,4,5]=>[6,4,5,7,1,2,3]=>{{1,6},{2,4,7},{3,5}}=>3
[7,2,3,4,6,5,1]=>[5,6,2,3,7,1,4]=>[7,4,5,1,2,3,6]=>{{1,7},{2,4},{3,5},{6}}=>8
[7,2,3,5,1,4,6]=>[5,7,2,1,3,4,6]=>[5,4,6,7,2,1,3]=>{{1,5},{2,4,7},{3,6}}=>3
[7,2,3,5,1,6,4]=>[5,7,2,6,3,1,4]=>[7,4,6,1,2,5,3]=>{{1,7},{2,4},{3,6},{5}}=>7
[7,2,3,5,4,1,6]=>[4,5,2,7,1,3,6]=>[6,4,7,2,3,1,5]=>{{1,6},{2,4},{3,7},{5}}=>7
[7,2,3,5,4,6,1]=>[6,7,2,5,3,4,1]=>[1,4,6,7,5,2,3]=>{{1},{2,4,7},{3,6},{5}}=>7
[7,2,3,5,6,1,4]=>[6,7,2,1,4,3,5]=>[5,4,7,6,1,2,3]=>{{1,5},{2,4,6},{3,7}}=>3
[7,2,3,5,6,4,1]=>[4,6,2,7,3,1,5]=>[7,4,6,2,1,3,5]=>{{1,7},{2,4},{3,6},{5}}=>7
[7,2,3,6,1,4,5]=>[6,7,2,1,3,5,4]=>[5,4,6,1,7,2,3]=>{{1,5,7},{2,4},{3,6}}=>3
[7,2,3,6,1,5,4]=>[6,7,2,5,1,3,4]=>[6,4,7,1,5,2,3]=>{{1,6},{2,4},{3,7},{5}}=>7
[7,2,3,6,4,1,5]=>[4,6,2,7,1,5,3]=>[6,4,1,2,7,3,5]=>{{1,6},{2,4},{3},{5,7}}=>7
[7,2,3,6,4,5,1]=>[5,7,2,6,4,3,1]=>[1,4,7,6,2,5,3]=>{{1},{2,4,6},{3,7},{5}}=>7
[7,2,3,6,5,1,4]=>[5,6,2,1,7,4,3]=>[5,4,1,7,2,3,6]=>{{1,5},{2,4,7},{3},{6}}=>8
[7,2,3,6,5,4,1]=>[4,5,2,6,7,3,1]=>[1,4,7,2,3,5,6]=>{{1},{2,4},{3,7},{5},{6}}=>12
[7,2,4,1,3,5,6]=>[4,7,1,2,3,5,6]=>[4,5,6,2,7,1,3]=>{{1,4},{2,5,7},{3,6}}=>3
[7,2,4,1,3,6,5]=>[4,7,1,2,6,3,5]=>[4,5,7,2,1,6,3]=>{{1,4},{2,5},{3,7},{6}}=>8
[7,2,4,1,5,3,6]=>[4,7,5,2,1,3,6]=>[6,5,7,2,4,1,3]=>{{1,6},{2,5},{3,7},{4}}=>6
[7,2,4,1,5,6,3]=>[4,7,6,2,1,5,3]=>[6,5,1,2,7,4,3]=>{{1,6},{2,5,7},{3},{4}}=>6
[7,2,4,1,6,3,5]=>[4,7,6,2,3,1,5]=>[7,5,6,2,1,4,3]=>{{1,7},{2,5},{3,6},{4}}=>6
[7,2,4,1,6,5,3]=>[4,7,5,2,6,1,3]=>[7,5,1,2,4,6,3]=>{{1,7},{2,5},{3},{4},{6}}=>11
[7,2,4,3,1,5,6]=>[3,4,7,1,2,5,6]=>[5,6,2,3,7,1,4]=>{{1,5,7},{2,6},{3},{4}}=>6
[7,2,4,3,1,6,5]=>[3,4,7,1,6,2,5]=>[5,7,2,3,1,6,4]=>{{1,5},{2,7},{3},{4},{6}}=>11
[7,2,4,3,5,1,6]=>[5,7,4,2,3,1,6]=>[7,5,6,4,2,1,3]=>{{1,7},{2,5},{3,6},{4}}=>6
[7,2,4,3,5,6,1]=>[6,7,4,2,3,5,1]=>[1,5,6,4,7,2,3]=>{{1},{2,5,7},{3,6},{4}}=>6
[7,2,4,3,6,1,5]=>[6,7,4,2,1,3,5]=>[6,5,7,4,1,2,3]=>{{1,6},{2,5},{3,7},{4}}=>6
[7,2,4,3,6,5,1]=>[5,6,4,2,7,1,3]=>[7,5,1,4,2,3,6]=>{{1,7},{2,5},{3},{4},{6}}=>11
[7,2,4,5,1,3,6]=>[5,7,1,3,2,4,6]=>[4,6,5,7,2,1,3]=>{{1,4,7},{2,6},{3,5}}=>3
[7,2,4,5,1,6,3]=>[5,7,6,2,3,4,1]=>[1,5,6,7,2,4,3]=>{{1},{2,5},{3,6},{4,7}}=>6
[7,2,4,5,3,1,6]=>[3,5,7,2,1,4,6]=>[6,5,2,7,3,1,4]=>{{1,6},{2,5},{3},{4,7}}=>6
[7,2,4,5,3,6,1]=>[6,7,5,2,4,3,1]=>[1,5,7,6,4,2,3]=>{{1},{2,5},{3,7},{4,6}}=>6
[7,2,4,5,6,1,3]=>[6,7,1,3,4,2,5]=>[4,7,5,6,1,2,3]=>{{1,4,6},{2,7},{3,5}}=>3
[7,2,4,5,6,3,1]=>[3,6,7,2,4,1,5]=>[7,5,2,6,1,3,4]=>{{1,7},{2,5},{3},{4,6}}=>6
[7,2,4,6,1,3,5]=>[6,7,1,3,2,5,4]=>[4,6,5,1,7,2,3]=>{{1,4},{2,6},{3,5,7}}=>3
[7,2,4,6,1,5,3]=>[6,7,5,2,1,4,3]=>[6,5,1,7,4,2,3]=>{{1,6},{2,5},{3},{4,7}}=>6
[7,2,4,6,3,1,5]=>[3,6,7,2,1,5,4]=>[6,5,2,1,7,3,4]=>{{1,6},{2,5,7},{3},{4}}=>6
[7,2,4,6,3,5,1]=>[5,7,6,2,4,1,3]=>[7,5,1,6,2,4,3]=>{{1,7},{2,5},{3},{4,6}}=>6
[7,2,4,6,5,1,3]=>[5,6,1,3,7,4,2]=>[4,1,5,7,2,3,6]=>{{1,4,7},{2},{3,5},{6}}=>8
[7,2,4,6,5,3,1]=>[3,5,6,2,7,4,1]=>[1,5,2,7,3,4,6]=>{{1},{2,5},{3},{4,7},{6}}=>11
[7,2,5,1,3,4,6]=>[5,7,1,2,4,3,6]=>[4,5,7,6,2,1,3]=>{{1,4,6},{2,5},{3,7}}=>3
[7,2,5,1,3,6,4]=>[5,7,1,6,2,3,4]=>[4,6,7,1,2,5,3]=>{{1,4},{2,6},{3,7},{5}}=>7
[7,2,5,1,4,3,6]=>[5,7,4,1,2,3,6]=>[5,6,7,4,2,1,3]=>{{1,5},{2,6},{3,7},{4}}=>6
[7,2,5,1,4,6,3]=>[5,7,6,1,2,4,3]=>[5,6,1,7,2,4,3]=>{{1,5},{2,6},{3},{4,7}}=>6
[7,2,5,1,6,3,4]=>[5,7,6,3,2,1,4]=>[7,6,5,1,2,4,3]=>{{1,7},{2,6},{3,5},{4}}=>6
[7,2,5,1,6,4,3]=>[5,7,4,6,2,1,3]=>[7,6,1,4,2,5,3]=>{{1,7},{2,6},{3},{4},{5}}=>10
[7,2,5,3,1,4,6]=>[3,5,7,1,4,2,6]=>[5,7,2,6,3,1,4]=>{{1,5},{2,7},{3},{4,6}}=>6
[7,2,5,3,1,6,4]=>[3,5,7,6,1,2,4]=>[6,7,2,1,3,5,4]=>{{1,6},{2,7},{3},{4},{5}}=>10
[7,2,5,3,4,1,6]=>[4,7,5,3,2,1,6]=>[7,6,5,2,4,1,3]=>{{1,7},{2,6},{3,5},{4}}=>6
[7,2,5,3,4,6,1]=>[6,7,5,3,2,4,1]=>[1,6,5,7,4,2,3]=>{{1},{2,6},{3,5},{4,7}}=>6
[7,2,5,3,6,1,4]=>[6,7,5,1,4,2,3]=>[5,7,1,6,4,2,3]=>{{1,5},{2,7},{3},{4,6}}=>6
[7,2,5,3,6,4,1]=>[4,6,7,5,3,1,2]=>[7,1,6,2,5,3,4]=>{{1,7},{2},{3,6},{4},{5}}=>10
[7,2,5,4,1,3,6]=>[4,5,1,7,3,2,6]=>[4,7,6,2,3,1,5]=>{{1,4},{2,7},{3,6},{5}}=>7
[7,2,5,4,1,6,3]=>[4,5,7,6,1,3,2]=>[6,1,7,2,3,5,4]=>{{1,6},{2},{3,7},{4},{5}}=>10
[7,2,5,4,3,1,6]=>[3,4,5,7,2,1,6]=>[7,6,2,3,4,1,5]=>{{1,7},{2,6},{3},{4},{5}}=>10
[7,2,5,4,3,6,1]=>[6,7,4,5,2,3,1]=>[1,6,7,4,5,2,3]=>{{1},{2,6},{3,7},{4},{5}}=>10
[7,2,5,4,6,1,3]=>[6,7,1,5,3,2,4]=>[4,7,6,1,5,2,3]=>{{1,4},{2,7},{3,6},{5}}=>7
[7,2,5,4,6,3,1]=>[3,6,7,5,2,1,4]=>[7,6,2,1,5,3,4]=>{{1,7},{2,6},{3},{4},{5}}=>10
[7,2,5,6,1,3,4]=>[6,7,1,2,4,5,3]=>[4,5,1,6,7,2,3]=>{{1,4,6},{2,5,7},{3}}=>3
[7,2,5,6,1,4,3]=>[6,7,4,1,3,2,5]=>[5,7,6,4,1,2,3]=>{{1,5},{2,7},{3,6},{4}}=>6
[7,2,5,6,3,1,4]=>[3,6,7,1,4,5,2]=>[5,1,2,6,7,3,4]=>{{1,5,7},{2},{3},{4,6}}=>6
[7,2,5,6,3,4,1]=>[4,7,6,3,1,2,5]=>[6,7,5,2,1,4,3]=>{{1,6},{2,7},{3,5},{4}}=>6
[7,2,5,6,4,1,3]=>[4,6,1,7,3,5,2]=>[4,1,6,2,7,3,5]=>{{1,4},{2},{3,6},{5,7}}=>7
[7,2,5,6,4,3,1]=>[3,4,6,7,2,5,1]=>[1,6,2,3,7,4,5]=>{{1},{2,6},{3},{4},{5,7}}=>10
[7,2,6,1,3,4,5]=>[6,7,1,2,3,4,5]=>[4,5,6,7,1,2,3]=>{{1,4,7},{2,5},{3,6}}=>3
[7,2,6,1,3,5,4]=>[6,7,1,5,2,4,3]=>[4,6,1,7,5,2,3]=>{{1,4,7},{2,6},{3},{5}}=>7
[7,2,6,1,4,3,5]=>[6,7,4,1,2,5,3]=>[5,6,1,4,7,2,3]=>{{1,5,7},{2,6},{3},{4}}=>6
[7,2,6,1,4,5,3]=>[6,7,5,1,2,3,4]=>[5,6,7,1,4,2,3]=>{{1,5},{2,6},{3,7},{4}}=>6
[7,2,6,1,5,3,4]=>[6,7,5,3,1,2,4]=>[6,7,5,1,4,2,3]=>{{1,6},{2,7},{3,5},{4}}=>6
[7,2,6,1,5,4,3]=>[6,7,4,5,1,2,3]=>[6,7,1,4,5,2,3]=>{{1,6},{2,7},{3},{4},{5}}=>10
[7,2,6,3,1,4,5]=>[3,6,7,1,2,4,5]=>[5,6,2,7,1,3,4]=>{{1,5},{2,6},{3},{4,7}}=>6
[7,2,6,3,1,5,4]=>[3,6,7,5,1,4,2]=>[6,1,2,7,5,3,4]=>{{1,6},{2},{3},{4,7},{5}}=>10
[7,2,6,3,4,1,5]=>[4,7,6,3,2,5,1]=>[1,6,5,2,7,4,3]=>{{1},{2,6},{3,5,7},{4}}=>6
[7,2,6,3,4,5,1]=>[5,7,6,3,4,2,1]=>[1,7,5,6,2,4,3]=>{{1},{2,7},{3,5},{4,6}}=>6
[7,2,6,3,5,1,4]=>[5,7,6,1,3,2,4]=>[5,7,6,1,2,4,3]=>{{1,5},{2,7},{3,6},{4}}=>6
[7,2,6,3,5,4,1]=>[4,5,7,6,3,2,1]=>[1,7,6,2,3,5,4]=>{{1},{2,7},{3,6},{4},{5}}=>10
[7,2,6,4,1,3,5]=>[4,6,1,7,2,3,5]=>[4,6,7,2,1,3,5]=>{{1,4},{2,6},{3,7},{5}}=>7
[7,2,6,4,1,5,3]=>[4,6,7,5,2,3,1]=>[1,6,7,2,5,3,4]=>{{1},{2,6},{3,7},{4},{5}}=>10
[7,2,6,4,3,1,5]=>[3,4,6,7,1,2,5]=>[6,7,2,3,1,4,5]=>{{1,6},{2,7},{3},{4},{5}}=>10
[7,2,6,4,3,5,1]=>[5,7,4,6,3,2,1]=>[1,7,6,4,2,5,3]=>{{1},{2,7},{3,6},{4},{5}}=>10
[7,2,6,4,5,1,3]=>[5,7,1,6,4,2,3]=>[4,7,1,6,2,5,3]=>{{1,4,6},{2,7},{3},{5}}=>7
[7,2,6,4,5,3,1]=>[3,5,7,6,4,1,2]=>[7,1,2,6,3,5,4]=>{{1,7},{2},{3},{4,6},{5}}=>10
[7,2,6,5,1,3,4]=>[5,6,1,2,7,3,4]=>[4,5,7,1,2,3,6]=>{{1,4},{2,5},{3,7},{6}}=>8
[7,2,6,5,1,4,3]=>[5,6,4,1,7,3,2]=>[5,1,7,4,2,3,6]=>{{1,5},{2},{3,7},{4},{6}}=>11
[7,2,6,5,3,1,4]=>[3,5,6,1,7,2,4]=>[5,7,2,1,3,4,6]=>{{1,5},{2,7},{3},{4},{6}}=>11
[7,2,6,5,3,4,1]=>[4,7,5,3,6,2,1]=>[1,7,5,2,4,6,3]=>{{1},{2,7},{3,5},{4},{6}}=>11
[7,2,6,5,4,1,3]=>[4,5,1,6,7,2,3]=>[4,7,1,2,3,5,6]=>{{1,4},{2,7},{3},{5},{6}}=>12
[7,2,6,5,4,3,1]=>[3,4,5,6,7,1,2]=>[7,1,2,3,4,5,6]=>{{1,7},{2},{3},{4},{5},{6}}=>15
[7,3,1,2,4,5,6]=>[3,1,7,2,4,5,6]=>[3,5,2,6,7,1,4]=>{{1,3},{2,5,7},{4,6}}=>4
[7,3,1,2,4,6,5]=>[3,1,7,2,6,4,5]=>[3,5,2,7,1,6,4]=>{{1,3},{2,5},{4,7},{6}}=>9
[7,3,1,2,5,4,6]=>[3,1,7,5,2,4,6]=>[3,6,2,7,5,1,4]=>{{1,3},{2,6},{4,7},{5}}=>8
[7,3,1,2,5,6,4]=>[3,1,7,6,2,5,4]=>[3,6,2,1,7,5,4]=>{{1,3},{2,6},{4},{5,7}}=>8
[7,3,1,2,6,4,5]=>[3,1,7,6,4,2,5]=>[3,7,2,6,1,5,4]=>{{1,3},{2,7},{4,6},{5}}=>8
[7,3,1,2,6,5,4]=>[3,1,7,5,6,2,4]=>[3,7,2,1,5,6,4]=>{{1,3},{2,7},{4},{5},{6}}=>13
[7,3,1,4,2,5,6]=>[3,7,4,2,1,5,6]=>[6,5,2,4,7,1,3]=>{{1,6},{2,5,7},{3},{4}}=>6
[7,3,1,4,2,6,5]=>[3,7,4,2,6,1,5]=>[7,5,2,4,1,6,3]=>{{1,7},{2,5},{3},{4},{6}}=>11
[7,3,1,4,5,2,6]=>[3,7,5,1,2,4,6]=>[5,6,2,7,4,1,3]=>{{1,5},{2,6},{3},{4,7}}=>6
[7,3,1,4,5,6,2]=>[3,7,6,1,2,5,4]=>[5,6,2,1,7,4,3]=>{{1,5,7},{2,6},{3},{4}}=>6
[7,3,1,4,6,2,5]=>[3,7,6,1,4,2,5]=>[5,7,2,6,1,4,3]=>{{1,5},{2,7},{3},{4,6}}=>6
[7,3,1,4,6,5,2]=>[3,7,5,1,6,2,4]=>[5,7,2,1,4,6,3]=>{{1,5},{2,7},{3},{4},{6}}=>11
[7,3,1,5,2,4,6]=>[3,7,5,2,4,1,6]=>[7,5,2,6,4,1,3]=>{{1,7},{2,5},{3},{4,6}}=>6
[7,3,1,5,2,6,4]=>[3,7,5,6,2,1,4]=>[7,6,2,1,4,5,3]=>{{1,7},{2,6},{3},{4},{5}}=>10
[7,3,1,5,4,2,6]=>[3,7,4,5,2,1,6]=>[7,6,2,4,5,1,3]=>{{1,7},{2,6},{3},{4},{5}}=>10
[7,3,1,5,4,6,2]=>[3,7,6,5,1,2,4]=>[6,7,2,1,5,4,3]=>{{1,6},{2,7},{3},{4},{5}}=>10
[7,3,1,5,6,2,4]=>[3,7,6,2,1,4,5]=>[6,5,2,7,1,4,3]=>{{1,6},{2,5},{3},{4,7}}=>6
[7,3,1,5,6,4,2]=>[3,7,4,6,1,2,5]=>[6,7,2,4,1,5,3]=>{{1,6},{2,7},{3},{4},{5}}=>10
[7,3,1,6,2,4,5]=>[3,7,6,2,4,5,1]=>[1,5,2,6,7,4,3]=>{{1},{2,5,7},{3},{4,6}}=>6
[7,3,1,6,2,5,4]=>[3,7,6,5,2,4,1]=>[1,6,2,7,5,4,3]=>{{1},{2,6},{3},{4,7},{5}}=>10
[7,3,1,6,4,2,5]=>[3,7,4,6,2,5,1]=>[1,6,2,4,7,5,3]=>{{1},{2,6},{3},{4},{5,7}}=>10
[7,3,1,6,4,5,2]=>[3,7,5,6,4,2,1]=>[1,7,2,6,4,5,3]=>{{1},{2,7},{3},{4,6},{5}}=>10
[7,3,1,6,5,2,4]=>[3,7,5,2,6,4,1]=>[1,5,2,7,4,6,3]=>{{1},{2,5},{3},{4,7},{6}}=>11
[7,3,1,6,5,4,2]=>[3,7,4,5,6,2,1]=>[1,7,2,4,5,6,3]=>{{1},{2,7},{3},{4},{5},{6}}=>15
[7,3,2,1,4,5,6]=>[2,3,7,1,4,5,6]=>[5,2,3,6,7,1,4]=>{{1,5,7},{2},{3},{4,6}}=>6
[7,3,2,1,4,6,5]=>[2,3,7,1,6,4,5]=>[5,2,3,7,1,6,4]=>{{1,5},{2},{3},{4,7},{6}}=>11
[7,3,2,1,5,4,6]=>[2,3,7,5,1,4,6]=>[6,2,3,7,5,1,4]=>{{1,6},{2},{3},{4,7},{5}}=>10
[7,3,2,1,5,6,4]=>[2,3,7,6,1,5,4]=>[6,2,3,1,7,5,4]=>{{1,6},{2},{3},{4},{5,7}}=>10
[7,3,2,1,6,4,5]=>[2,3,7,6,4,1,5]=>[7,2,3,6,1,5,4]=>{{1,7},{2},{3},{4,6},{5}}=>10
[7,3,2,1,6,5,4]=>[2,3,7,5,6,1,4]=>[7,2,3,1,5,6,4]=>{{1,7},{2},{3},{4},{5},{6}}=>15
[7,3,2,4,1,5,6]=>[4,3,7,2,1,5,6]=>[6,5,3,2,7,1,4]=>{{1,6},{2,5,7},{3},{4}}=>6
[7,3,2,4,1,6,5]=>[4,3,7,2,6,1,5]=>[7,5,3,2,1,6,4]=>{{1,7},{2,5},{3},{4},{6}}=>11
[7,3,2,4,5,1,6]=>[5,3,7,2,4,1,6]=>[7,5,3,6,2,1,4]=>{{1,7},{2,5},{3},{4,6}}=>6
[7,3,2,4,5,6,1]=>[6,3,7,2,4,5,1]=>[1,5,3,6,7,2,4]=>{{1},{2,5,7},{3},{4,6}}=>6
[7,3,2,4,6,1,5]=>[6,3,7,2,1,4,5]=>[6,5,3,7,1,2,4]=>{{1,6},{2,5},{3},{4,7}}=>6
[7,3,2,4,6,5,1]=>[5,3,6,2,7,1,4]=>[7,5,3,1,2,4,6]=>{{1,7},{2,5},{3},{4},{6}}=>11
[7,3,2,5,1,4,6]=>[5,3,7,1,2,4,6]=>[5,6,3,7,2,1,4]=>{{1,5},{2,6},{3},{4,7}}=>6
[7,3,2,5,1,6,4]=>[5,3,7,6,2,1,4]=>[7,6,3,1,2,5,4]=>{{1,7},{2,6},{3},{4},{5}}=>10
[7,3,2,5,4,1,6]=>[4,3,5,7,1,2,6]=>[6,7,3,2,4,1,5]=>{{1,6},{2,7},{3},{4},{5}}=>10
[7,3,2,5,4,6,1]=>[6,3,7,5,2,4,1]=>[1,6,3,7,5,2,4]=>{{1},{2,6},{3},{4,7},{5}}=>10
[7,3,2,5,6,1,4]=>[6,3,7,1,4,2,5]=>[5,7,3,6,1,2,4]=>{{1,5},{2,7},{3},{4,6}}=>6
[7,3,2,5,6,4,1]=>[4,3,6,7,2,1,5]=>[7,6,3,2,1,4,5]=>{{1,7},{2,6},{3},{4},{5}}=>10
[7,3,2,6,1,4,5]=>[6,3,7,1,2,5,4]=>[5,6,3,1,7,2,4]=>{{1,5,7},{2,6},{3},{4}}=>6
[7,3,2,6,1,5,4]=>[6,3,7,5,1,2,4]=>[6,7,3,1,5,2,4]=>{{1,6},{2,7},{3},{4},{5}}=>10
[7,3,2,6,4,1,5]=>[4,3,6,7,1,5,2]=>[6,1,3,2,7,4,5]=>{{1,6},{2},{3},{4},{5,7}}=>10
[7,3,2,6,4,5,1]=>[5,3,7,6,4,2,1]=>[1,7,3,6,2,5,4]=>{{1},{2,7},{3},{4,6},{5}}=>10
[7,3,2,6,5,1,4]=>[5,3,6,1,7,4,2]=>[5,1,3,7,2,4,6]=>{{1,5},{2},{3},{4,7},{6}}=>11
[7,3,2,6,5,4,1]=>[4,3,5,6,7,2,1]=>[1,7,3,2,4,5,6]=>{{1},{2,7},{3},{4},{5},{6}}=>15
[7,3,4,1,2,5,6]=>[4,1,7,3,2,5,6]=>[3,6,5,2,7,1,4]=>{{1,3,5,7},{2,6},{4}}=>4
[7,3,4,1,2,6,5]=>[4,1,7,3,6,2,5]=>[3,7,5,2,1,6,4]=>{{1,3,5},{2,7},{4},{6}}=>9
[7,3,4,1,5,2,6]=>[4,5,7,3,1,2,6]=>[6,7,5,2,3,1,4]=>{{1,6},{2,7},{3,5},{4}}=>6
[7,3,4,1,5,6,2]=>[4,6,7,3,2,1,5]=>[7,6,5,2,1,3,4]=>{{1,7},{2,6},{3,5},{4}}=>6
[7,3,4,1,6,2,5]=>[4,6,7,3,1,5,2]=>[6,1,5,2,7,3,4]=>{{1,6},{2},{3,5,7},{4}}=>6
[7,3,4,1,6,5,2]=>[4,5,6,3,7,2,1]=>[1,7,5,2,3,4,6]=>{{1},{2,7},{3,5},{4},{6}}=>11
[7,3,4,2,1,5,6]=>[2,4,7,3,1,5,6]=>[6,2,5,3,7,1,4]=>{{1,6},{2},{3,5,7},{4}}=>6
[7,3,4,2,1,6,5]=>[2,4,7,3,6,1,5]=>[7,2,5,3,1,6,4]=>{{1,7},{2},{3,5},{4},{6}}=>11
[7,3,4,2,5,1,6]=>[5,4,7,3,2,1,6]=>[7,6,5,3,2,1,4]=>{{1,7},{2,6},{3,5},{4}}=>6
[7,3,4,2,5,6,1]=>[6,4,7,3,2,5,1]=>[1,6,5,3,7,2,4]=>{{1},{2,6},{3,5,7},{4}}=>6
[7,3,4,2,6,1,5]=>[6,4,7,3,1,2,5]=>[6,7,5,3,1,2,4]=>{{1,6},{2,7},{3,5},{4}}=>6
[7,3,4,2,6,5,1]=>[5,4,6,3,7,1,2]=>[7,1,5,3,2,4,6]=>{{1,7},{2},{3,5},{4},{6}}=>11
[7,3,4,5,1,2,6]=>[5,1,7,3,4,2,6]=>[3,7,5,6,2,1,4]=>{{1,3,5},{2,7},{4,6}}=>4
[7,3,4,5,1,6,2]=>[5,6,7,3,4,1,2]=>[7,1,5,6,2,3,4]=>{{1,7},{2},{3,5},{4,6}}=>6
[7,3,4,5,2,1,6]=>[2,5,7,3,4,1,6]=>[7,2,5,6,3,1,4]=>{{1,7},{2},{3,5},{4,6}}=>6
[7,3,4,5,2,6,1]=>[6,5,7,3,4,2,1]=>[1,7,5,6,3,2,4]=>{{1},{2,7},{3,5},{4,6}}=>6
[7,3,4,5,6,1,2]=>[6,1,7,3,4,5,2]=>[3,1,5,6,7,2,4]=>{{1,3,5,7},{2},{4,6}}=>4
[7,3,4,5,6,2,1]=>[2,6,7,3,4,5,1]=>[1,2,5,6,7,3,4]=>{{1},{2},{3,5,7},{4,6}}=>6
[7,3,4,6,1,2,5]=>[6,1,7,3,2,4,5]=>[3,6,5,7,1,2,4]=>{{1,3,5},{2,6},{4,7}}=>4
[7,3,4,6,1,5,2]=>[6,5,7,3,1,4,2]=>[6,1,5,7,3,2,4]=>{{1,6},{2},{3,5},{4,7}}=>6
[7,3,4,6,2,1,5]=>[2,6,7,3,1,4,5]=>[6,2,5,7,1,3,4]=>{{1,6},{2},{3,5},{4,7}}=>6
[7,3,4,6,2,5,1]=>[5,6,7,3,2,4,1]=>[1,6,5,7,2,3,4]=>{{1},{2,6},{3,5},{4,7}}=>6
[7,3,4,6,5,1,2]=>[5,1,6,3,7,2,4]=>[3,7,5,1,2,4,6]=>{{1,3,5},{2,7},{4},{6}}=>9
[7,3,4,6,5,2,1]=>[2,5,6,3,7,1,4]=>[7,2,5,1,3,4,6]=>{{1,7},{2},{3,5},{4},{6}}=>11
[7,3,5,1,2,4,6]=>[5,1,7,2,3,4,6]=>[3,5,6,7,2,1,4]=>{{1,3,6},{2,5},{4,7}}=>4
[7,3,5,1,2,6,4]=>[5,1,7,6,3,2,4]=>[3,7,6,1,2,5,4]=>{{1,3,6},{2,7},{4},{5}}=>8
[7,3,5,1,4,2,6]=>[5,4,7,1,3,2,6]=>[5,7,6,3,2,1,4]=>{{1,5},{2,7},{3,6},{4}}=>6
[7,3,5,1,4,6,2]=>[5,6,7,1,3,4,2]=>[5,1,6,7,2,3,4]=>{{1,5},{2},{3,6},{4,7}}=>6
[7,3,5,1,6,2,4]=>[5,6,7,2,4,3,1]=>[1,5,7,6,2,3,4]=>{{1},{2,5},{3,7},{4,6}}=>6
[7,3,5,1,6,4,2]=>[5,4,6,7,3,2,1]=>[1,7,6,3,2,4,5]=>{{1},{2,7},{3,6},{4},{5}}=>10
[7,3,5,2,1,4,6]=>[2,5,7,1,3,4,6]=>[5,2,6,7,3,1,4]=>{{1,5},{2},{3,6},{4,7}}=>6
[7,3,5,2,1,6,4]=>[2,5,7,6,3,1,4]=>[7,2,6,1,3,5,4]=>{{1,7},{2},{3,6},{4},{5}}=>10
[7,3,5,2,4,1,6]=>[4,5,7,2,3,1,6]=>[7,5,6,2,3,1,4]=>{{1,7},{2,5},{3,6},{4}}=>6
[7,3,5,2,4,6,1]=>[6,5,7,2,3,4,1]=>[1,5,6,7,3,2,4]=>{{1},{2,5},{3,6},{4,7}}=>6
[7,3,5,2,6,1,4]=>[6,5,7,1,4,3,2]=>[5,1,7,6,3,2,4]=>{{1,5},{2},{3,7},{4,6}}=>6
[7,3,5,2,6,4,1]=>[4,6,5,7,2,1,3]=>[7,6,1,2,4,3,5]=>{{1,7},{2,6},{3},{4},{5}}=>10
[7,3,5,4,1,2,6]=>[4,1,5,7,2,3,6]=>[3,6,7,2,4,1,5]=>{{1,3,7},{2,6},{4},{5}}=>8
[7,3,5,4,1,6,2]=>[4,5,6,7,3,1,2]=>[7,1,6,2,3,4,5]=>{{1,7},{2},{3,6},{4},{5}}=>10
[7,3,5,4,2,1,6]=>[2,4,5,7,1,3,6]=>[6,2,7,3,4,1,5]=>{{1,6},{2},{3,7},{4},{5}}=>10
[7,3,5,4,2,6,1]=>[6,4,5,7,2,3,1]=>[1,6,7,3,4,2,5]=>{{1},{2,6},{3,7},{4},{5}}=>10
[7,3,5,4,6,1,2]=>[6,1,7,5,3,4,2]=>[3,1,6,7,5,2,4]=>{{1,3,6},{2},{4,7},{5}}=>8
[7,3,5,4,6,2,1]=>[2,6,7,5,3,4,1]=>[1,2,6,7,5,3,4]=>{{1},{2},{3,6},{4,7},{5}}=>10
[7,3,5,6,1,2,4]=>[6,1,7,2,4,3,5]=>[3,5,7,6,1,2,4]=>{{1,3,7},{2,5},{4,6}}=>4
[7,3,5,6,1,4,2]=>[6,4,7,1,3,5,2]=>[5,1,6,3,7,2,4]=>{{1,5,7},{2},{3,6},{4}}=>6
[7,3,5,6,2,1,4]=>[2,6,7,1,4,3,5]=>[5,2,7,6,1,3,4]=>{{1,5},{2},{3,7},{4,6}}=>6
[7,3,5,6,2,4,1]=>[4,6,7,2,3,5,1]=>[1,5,6,2,7,3,4]=>{{1},{2,5,7},{3,6},{4}}=>6
[7,3,5,6,4,1,2]=>[4,1,6,7,3,2,5]=>[3,7,6,2,1,4,5]=>{{1,3,6},{2,7},{4},{5}}=>8
[7,3,5,6,4,2,1]=>[2,4,6,7,3,1,5]=>[7,2,6,3,1,4,5]=>{{1,7},{2},{3,6},{4},{5}}=>10
[7,3,6,1,2,4,5]=>[6,1,7,2,3,5,4]=>[3,5,6,1,7,2,4]=>{{1,3,6},{2,5,7},{4}}=>4
[7,3,6,1,2,5,4]=>[6,1,7,5,2,3,4]=>[3,6,7,1,5,2,4]=>{{1,3,7},{2,6},{4},{5}}=>8
[7,3,6,1,4,2,5]=>[6,4,7,1,2,3,5]=>[5,6,7,3,1,2,4]=>{{1,5},{2,6},{3,7},{4}}=>6
[7,3,6,1,4,5,2]=>[6,5,7,1,3,2,4]=>[5,7,6,1,3,2,4]=>{{1,5},{2,7},{3,6},{4}}=>6
[7,3,6,1,5,2,4]=>[6,5,7,2,1,3,4]=>[6,5,7,1,3,2,4]=>{{1,6},{2,5},{3,7},{4}}=>6
[7,3,6,1,5,4,2]=>[6,4,5,7,1,2,3]=>[6,7,1,3,4,2,5]=>{{1,6},{2,7},{3},{4},{5}}=>10
[7,3,6,2,1,4,5]=>[2,6,7,1,3,5,4]=>[5,2,6,1,7,3,4]=>{{1,5,7},{2},{3,6},{4}}=>6
[7,3,6,2,1,5,4]=>[2,6,7,5,1,3,4]=>[6,2,7,1,5,3,4]=>{{1,6},{2},{3,7},{4},{5}}=>10
[7,3,6,2,4,1,5]=>[4,6,7,2,1,3,5]=>[6,5,7,2,1,3,4]=>{{1,6},{2,5},{3,7},{4}}=>6
[7,3,6,2,4,5,1]=>[5,6,7,2,3,1,4]=>[7,5,6,1,2,3,4]=>{{1,7},{2,5},{3,6},{4}}=>6
[7,3,6,2,5,1,4]=>[5,6,7,1,2,3,4]=>[5,6,7,1,2,3,4]=>{{1,5},{2,6},{3,7},{4}}=>6
[7,3,6,2,5,4,1]=>[4,5,6,7,1,2,3]=>[6,7,1,2,3,4,5]=>{{1,6},{2,7},{3},{4},{5}}=>10
[7,3,6,4,1,2,5]=>[4,1,6,7,2,5,3]=>[3,6,1,2,7,4,5]=>{{1,3},{2,6},{4},{5,7}}=>8
[7,3,6,4,1,5,2]=>[4,6,5,7,1,3,2]=>[6,1,7,2,4,3,5]=>{{1,6},{2},{3,7},{4},{5}}=>10
[7,3,6,4,2,1,5]=>[2,4,6,7,1,5,3]=>[6,2,1,3,7,4,5]=>{{1,6},{2},{3},{4},{5,7}}=>10
[7,3,6,4,2,5,1]=>[5,4,6,7,2,1,3]=>[7,6,1,3,2,4,5]=>{{1,7},{2,6},{3},{4},{5}}=>10
[7,3,6,4,5,1,2]=>[5,1,7,6,4,3,2]=>[3,1,7,6,2,5,4]=>{{1,3,7},{2},{4,6},{5}}=>8
[7,3,6,4,5,2,1]=>[2,5,7,6,4,3,1]=>[1,2,7,6,3,5,4]=>{{1},{2},{3,7},{4,6},{5}}=>10
[7,3,6,5,1,2,4]=>[5,1,6,2,7,4,3]=>[3,5,1,7,2,4,6]=>{{1,3},{2,5},{4,7},{6}}=>9
[7,3,6,5,1,4,2]=>[5,4,6,1,7,2,3]=>[5,7,1,3,2,4,6]=>{{1,5},{2,7},{3},{4},{6}}=>11
[7,3,6,5,2,1,4]=>[2,5,6,1,7,4,3]=>[5,2,1,7,3,4,6]=>{{1,5},{2},{3},{4,7},{6}}=>11
[7,3,6,5,2,4,1]=>[4,5,6,2,7,1,3]=>[7,5,1,2,3,4,6]=>{{1,7},{2,5},{3},{4},{6}}=>11
[7,3,6,5,4,1,2]=>[4,1,5,6,7,3,2]=>[3,1,7,2,4,5,6]=>{{1,3,7},{2},{4},{5},{6}}=>13
[7,3,6,5,4,2,1]=>[2,4,5,6,7,3,1]=>[1,2,7,3,4,5,6]=>{{1},{2},{3,7},{4},{5},{6}}=>15
[7,4,1,2,3,5,6]=>[4,1,2,7,3,5,6]=>[3,4,6,2,7,1,5]=>{{1,3,6},{2,4},{5,7}}=>5
[7,4,1,2,3,6,5]=>[4,1,2,7,6,3,5]=>[3,4,7,2,1,6,5]=>{{1,3,7},{2,4},{5},{6}}=>10
[7,4,1,2,5,3,6]=>[4,1,7,5,3,2,6]=>[3,7,6,2,5,1,4]=>{{1,3,6},{2,7},{4},{5}}=>8
[7,4,1,2,5,6,3]=>[4,1,7,6,2,3,5]=>[3,6,7,2,1,5,4]=>{{1,3,7},{2,6},{4},{5}}=>8
[7,4,1,2,6,3,5]=>[4,1,7,6,3,5,2]=>[3,1,6,2,7,5,4]=>{{1,3,6},{2},{4},{5,7}}=>8
[7,4,1,2,6,5,3]=>[4,1,7,5,6,3,2]=>[3,1,7,2,5,6,4]=>{{1,3,7},{2},{4},{5},{6}}=>13
[7,4,1,3,2,5,6]=>[4,3,1,7,2,5,6]=>[4,6,3,2,7,1,5]=>{{1,4},{2,6},{3},{5,7}}=>7
[7,4,1,3,2,6,5]=>[4,3,1,7,6,2,5]=>[4,7,3,2,1,6,5]=>{{1,4},{2,7},{3},{5},{6}}=>12
[7,4,1,3,5,2,6]=>[4,7,1,5,2,3,6]=>[4,6,7,2,5,1,3]=>{{1,4},{2,6},{3,7},{5}}=>7
[7,4,1,3,5,6,2]=>[4,7,1,6,2,5,3]=>[4,6,1,2,7,5,3]=>{{1,4},{2,6},{3},{5,7}}=>7
[7,4,1,3,6,2,5]=>[4,7,1,6,3,2,5]=>[4,7,6,2,1,5,3]=>{{1,4},{2,7},{3,6},{5}}=>7
[7,4,1,3,6,5,2]=>[4,7,1,5,6,2,3]=>[4,7,1,2,5,6,3]=>{{1,4},{2,7},{3},{5},{6}}=>12
[7,4,1,5,2,3,6]=>[4,7,2,5,3,1,6]=>[7,4,6,2,5,1,3]=>{{1,7},{2,4},{3,6},{5}}=>7
[7,4,1,5,2,6,3]=>[4,7,5,6,1,2,3]=>[6,7,1,2,4,5,3]=>{{1,6},{2,7},{3},{4},{5}}=>10
[7,4,1,5,3,2,6]=>[4,3,7,5,2,1,6]=>[7,6,3,2,5,1,4]=>{{1,7},{2,6},{3},{4},{5}}=>10
[7,4,1,5,3,6,2]=>[4,7,6,5,2,1,3]=>[7,6,1,2,5,4,3]=>{{1,7},{2,6},{3},{4},{5}}=>10
[7,4,1,5,6,2,3]=>[4,7,2,6,1,3,5]=>[6,4,7,2,1,5,3]=>{{1,6},{2,4},{3,7},{5}}=>7
[7,4,1,5,6,3,2]=>[4,3,7,6,1,2,5]=>[6,7,3,2,1,5,4]=>{{1,6},{2,7},{3},{4},{5}}=>10
[7,4,1,6,2,3,5]=>[4,7,2,6,3,5,1]=>[1,4,6,2,7,5,3]=>{{1},{2,4},{3,6},{5,7}}=>7
[7,4,1,6,2,5,3]=>[4,7,6,5,3,2,1]=>[1,7,6,2,5,4,3]=>{{1},{2,7},{3,6},{4},{5}}=>10
[7,4,1,6,3,2,5]=>[4,3,7,6,2,5,1]=>[1,6,3,2,7,5,4]=>{{1},{2,6},{3},{4},{5,7}}=>10
[7,4,1,6,3,5,2]=>[4,7,5,6,2,3,1]=>[1,6,7,2,4,5,3]=>{{1},{2,6},{3,7},{4},{5}}=>10
[7,4,1,6,5,2,3]=>[4,7,2,5,6,3,1]=>[1,4,7,2,5,6,3]=>{{1},{2,4},{3,7},{5},{6}}=>12
[7,4,1,6,5,3,2]=>[4,3,7,5,6,2,1]=>[1,7,3,2,5,6,4]=>{{1},{2,7},{3},{4},{5},{6}}=>15
[7,4,2,1,3,5,6]=>[2,4,1,7,3,5,6]=>[4,2,6,3,7,1,5]=>{{1,4},{2},{3,6},{5,7}}=>7
[7,4,2,1,3,6,5]=>[2,4,1,7,6,3,5]=>[4,2,7,3,1,6,5]=>{{1,4},{2},{3,7},{5},{6}}=>12
[7,4,2,1,5,3,6]=>[2,4,7,5,3,1,6]=>[7,2,6,3,5,1,4]=>{{1,7},{2},{3,6},{4},{5}}=>10
[7,4,2,1,5,6,3]=>[2,4,7,6,1,3,5]=>[6,2,7,3,1,5,4]=>{{1,6},{2},{3,7},{4},{5}}=>10
[7,4,2,1,6,3,5]=>[2,4,7,6,3,5,1]=>[1,2,6,3,7,5,4]=>{{1},{2},{3,6},{4},{5,7}}=>10
[7,4,2,1,6,5,3]=>[2,4,7,5,6,3,1]=>[1,2,7,3,5,6,4]=>{{1},{2},{3,7},{4},{5},{6}}=>15
[7,4,2,3,1,5,6]=>[3,4,2,7,1,5,6]=>[6,4,2,3,7,1,5]=>{{1,6},{2,4},{3},{5,7}}=>7
[7,4,2,3,1,6,5]=>[3,4,2,7,6,1,5]=>[7,4,2,3,1,6,5]=>{{1,7},{2,4},{3},{5},{6}}=>12
[7,4,2,3,5,1,6]=>[5,4,2,7,3,1,6]=>[7,4,6,3,2,1,5]=>{{1,7},{2,4},{3,6},{5}}=>7
[7,4,2,3,5,6,1]=>[6,4,2,7,3,5,1]=>[1,4,6,3,7,2,5]=>{{1},{2,4},{3,6},{5,7}}=>7
[7,4,2,3,6,1,5]=>[6,4,2,7,1,3,5]=>[6,4,7,3,1,2,5]=>{{1,6},{2,4},{3,7},{5}}=>7
[7,4,2,3,6,5,1]=>[5,4,2,6,7,1,3]=>[7,4,1,3,2,5,6]=>{{1,7},{2,4},{3},{5},{6}}=>12
[7,4,2,5,1,3,6]=>[5,4,1,7,2,3,6]=>[4,6,7,3,2,1,5]=>{{1,4},{2,6},{3,7},{5}}=>7
[7,4,2,5,1,6,3]=>[5,4,7,6,2,3,1]=>[1,6,7,3,2,5,4]=>{{1},{2,6},{3,7},{4},{5}}=>10
[7,4,2,5,3,1,6]=>[3,5,4,7,1,2,6]=>[6,7,2,4,3,1,5]=>{{1,6},{2,7},{3},{4},{5}}=>10
[7,4,2,5,3,6,1]=>[6,4,7,5,3,2,1]=>[1,7,6,3,5,2,4]=>{{1},{2,7},{3,6},{4},{5}}=>10
[7,4,2,5,6,1,3]=>[6,4,1,7,3,2,5]=>[4,7,6,3,1,2,5]=>{{1,4},{2,7},{3,6},{5}}=>7
[7,4,2,5,6,3,1]=>[3,6,4,7,2,1,5]=>[7,6,2,4,1,3,5]=>{{1,7},{2,6},{3},{4},{5}}=>10
[7,4,2,6,1,3,5]=>[6,4,1,7,2,5,3]=>[4,6,1,3,7,2,5]=>{{1,4},{2,6},{3},{5,7}}=>7
[7,4,2,6,1,5,3]=>[6,4,7,5,1,3,2]=>[6,1,7,3,5,2,4]=>{{1,6},{2},{3,7},{4},{5}}=>10
[7,4,2,6,3,1,5]=>[3,6,4,7,1,5,2]=>[6,1,2,4,7,3,5]=>{{1,6},{2},{3},{4},{5,7}}=>10
[7,4,2,6,3,5,1]=>[5,4,7,6,3,1,2]=>[7,1,6,3,2,5,4]=>{{1,7},{2},{3,6},{4},{5}}=>10
[7,4,2,6,5,1,3]=>[5,4,1,6,7,3,2]=>[4,1,7,3,2,5,6]=>{{1,4},{2},{3,7},{5},{6}}=>12
[7,4,2,6,5,3,1]=>[3,5,4,6,7,2,1]=>[1,7,2,4,3,5,6]=>{{1},{2,7},{3},{4},{5},{6}}=>15
[7,4,3,1,2,5,6]=>[3,1,4,7,2,5,6]=>[3,6,2,4,7,1,5]=>{{1,3},{2,6},{4},{5,7}}=>8
[7,4,3,1,2,6,5]=>[3,1,4,7,6,2,5]=>[3,7,2,4,1,6,5]=>{{1,3},{2,7},{4},{5},{6}}=>13
[7,4,3,1,5,2,6]=>[3,4,7,5,1,2,6]=>[6,7,2,3,5,1,4]=>{{1,6},{2,7},{3},{4},{5}}=>10
[7,4,3,1,5,6,2]=>[3,4,7,6,1,5,2]=>[6,1,2,3,7,5,4]=>{{1,6},{2},{3},{4},{5,7}}=>10
[7,4,3,1,6,2,5]=>[3,4,7,6,2,1,5]=>[7,6,2,3,1,5,4]=>{{1,7},{2,6},{3},{4},{5}}=>10
[7,4,3,1,6,5,2]=>[3,4,7,5,6,1,2]=>[7,1,2,3,5,6,4]=>{{1,7},{2},{3},{4},{5},{6}}=>15
[7,4,3,2,1,5,6]=>[2,3,4,7,1,5,6]=>[6,2,3,4,7,1,5]=>{{1,6},{2},{3},{4},{5,7}}=>10
[7,4,3,2,1,6,5]=>[2,3,4,7,6,1,5]=>[7,2,3,4,1,6,5]=>{{1,7},{2},{3},{4},{5},{6}}=>15
[7,4,3,2,5,1,6]=>[5,3,4,7,2,1,6]=>[7,6,3,4,2,1,5]=>{{1,7},{2,6},{3},{4},{5}}=>10
[7,4,3,2,5,6,1]=>[6,3,4,7,2,5,1]=>[1,6,3,4,7,2,5]=>{{1},{2,6},{3},{4},{5,7}}=>10
[7,4,3,2,6,1,5]=>[6,3,4,7,1,2,5]=>[6,7,3,4,1,2,5]=>{{1,6},{2,7},{3},{4},{5}}=>10
[7,4,3,2,6,5,1]=>[5,3,4,6,7,1,2]=>[7,1,3,4,2,5,6]=>{{1,7},{2},{3},{4},{5},{6}}=>15
[7,4,3,5,1,2,6]=>[5,1,4,7,3,2,6]=>[3,7,6,4,2,1,5]=>{{1,3,6},{2,7},{4},{5}}=>8
[7,4,3,5,1,6,2]=>[5,6,4,7,3,1,2]=>[7,1,6,4,2,3,5]=>{{1,7},{2},{3,6},{4},{5}}=>10
[7,4,3,5,2,1,6]=>[2,5,4,7,3,1,6]=>[7,2,6,4,3,1,5]=>{{1,7},{2},{3,6},{4},{5}}=>10
[7,4,3,5,2,6,1]=>[6,5,4,7,3,2,1]=>[1,7,6,4,3,2,5]=>{{1},{2,7},{3,6},{4},{5}}=>10
[7,4,3,5,6,1,2]=>[6,1,4,7,3,5,2]=>[3,1,6,4,7,2,5]=>{{1,3,6},{2},{4},{5,7}}=>8
[7,4,3,5,6,2,1]=>[2,6,4,7,3,5,1]=>[1,2,6,4,7,3,5]=>{{1},{2},{3,6},{4},{5,7}}=>10
[7,4,3,6,1,2,5]=>[6,1,4,7,2,3,5]=>[3,6,7,4,1,2,5]=>{{1,3,7},{2,6},{4},{5}}=>8
[7,4,3,6,1,5,2]=>[6,5,4,7,1,3,2]=>[6,1,7,4,3,2,5]=>{{1,6},{2},{3,7},{4},{5}}=>10
[7,4,3,6,2,1,5]=>[2,6,4,7,1,3,5]=>[6,2,7,4,1,3,5]=>{{1,6},{2},{3,7},{4},{5}}=>10
[7,4,3,6,2,5,1]=>[5,6,4,7,2,3,1]=>[1,6,7,4,2,3,5]=>{{1},{2,6},{3,7},{4},{5}}=>10
[7,4,3,6,5,1,2]=>[5,1,4,6,7,2,3]=>[3,7,1,4,2,5,6]=>{{1,3},{2,7},{4},{5},{6}}=>13
[7,4,3,6,5,2,1]=>[2,5,4,6,7,1,3]=>[7,2,1,4,3,5,6]=>{{1,7},{2},{3},{4},{5},{6}}=>15
[7,4,5,1,2,3,6]=>[5,1,2,7,4,3,6]=>[3,4,7,6,2,1,5]=>{{1,3,7},{2,4,6},{5}}=>5
[7,4,5,1,2,6,3]=>[5,1,6,7,4,2,3]=>[3,7,1,6,2,4,5]=>{{1,3},{2,7},{4,6},{5}}=>8
[7,4,5,1,3,2,6]=>[5,3,1,7,4,2,6]=>[4,7,3,6,2,1,5]=>{{1,4,6},{2,7},{3},{5}}=>7
[7,4,5,1,3,6,2]=>[5,6,1,7,4,3,2]=>[4,1,7,6,2,3,5]=>{{1,4,6},{2},{3,7},{5}}=>7
[7,4,5,1,6,2,3]=>[5,6,2,7,4,1,3]=>[7,4,1,6,2,3,5]=>{{1,7},{2,4,6},{3},{5}}=>7
[7,4,5,1,6,3,2]=>[5,3,6,7,4,1,2]=>[7,1,3,6,2,4,5]=>{{1,7},{2},{3},{4,6},{5}}=>10
[7,4,5,2,1,3,6]=>[2,5,1,7,4,3,6]=>[4,2,7,6,3,1,5]=>{{1,4,6},{2},{3,7},{5}}=>7
[7,4,5,2,1,6,3]=>[2,5,6,7,4,1,3]=>[7,2,1,6,3,4,5]=>{{1,7},{2},{3},{4,6},{5}}=>10
[7,4,5,2,3,1,6]=>[3,5,2,7,4,1,6]=>[7,4,2,6,3,1,5]=>{{1,7},{2,4,6},{3},{5}}=>7
[7,4,5,2,3,6,1]=>[6,5,2,7,4,3,1]=>[1,4,7,6,3,2,5]=>{{1},{2,4,6},{3,7},{5}}=>7
[7,4,5,2,6,1,3]=>[6,5,1,7,4,2,3]=>[4,7,1,6,3,2,5]=>{{1,4,6},{2,7},{3},{5}}=>7
[7,4,5,2,6,3,1]=>[3,6,5,7,4,1,2]=>[7,1,2,6,4,3,5]=>{{1,7},{2},{3},{4,6},{5}}=>10
[7,4,5,3,1,2,6]=>[3,1,5,7,4,2,6]=>[3,7,2,6,4,1,5]=>{{1,3},{2,7},{4,6},{5}}=>8
[7,4,5,3,1,6,2]=>[3,5,6,7,4,2,1]=>[1,7,2,6,3,4,5]=>{{1},{2,7},{3},{4,6},{5}}=>10
[7,4,5,3,2,1,6]=>[2,3,5,7,4,1,6]=>[7,2,3,6,4,1,5]=>{{1,7},{2},{3},{4,6},{5}}=>10
[7,4,5,3,2,6,1]=>[6,3,5,7,4,2,1]=>[1,7,3,6,4,2,5]=>{{1},{2,7},{3},{4,6},{5}}=>10
[7,4,5,3,6,1,2]=>[6,1,5,7,4,3,2]=>[3,1,7,6,4,2,5]=>{{1,3,7},{2},{4,6},{5}}=>8
[7,4,5,3,6,2,1]=>[2,6,5,7,4,3,1]=>[1,2,7,6,4,3,5]=>{{1},{2},{3,7},{4,6},{5}}=>10
[7,4,5,6,1,2,3]=>[6,1,2,7,4,5,3]=>[3,4,1,6,7,2,5]=>{{1,3},{2,4,6},{5,7}}=>5
[7,4,5,6,1,3,2]=>[6,3,1,7,4,5,2]=>[4,1,3,6,7,2,5]=>{{1,4,6},{2},{3},{5,7}}=>7
[7,4,5,6,2,1,3]=>[2,6,1,7,4,5,3]=>[4,2,1,6,7,3,5]=>{{1,4,6},{2},{3},{5,7}}=>7
[7,4,5,6,2,3,1]=>[3,6,2,7,4,5,1]=>[1,4,2,6,7,3,5]=>{{1},{2,4,6},{3},{5,7}}=>7
[7,4,5,6,3,1,2]=>[3,1,6,7,4,5,2]=>[3,1,2,6,7,4,5]=>{{1,3},{2},{4,6},{5,7}}=>8
[7,4,5,6,3,2,1]=>[2,3,6,7,4,5,1]=>[1,2,3,6,7,4,5]=>{{1},{2},{3},{4,6},{5,7}}=>10
[7,4,6,1,2,3,5]=>[6,1,2,7,3,4,5]=>[3,4,6,7,1,2,5]=>{{1,3,6},{2,4,7},{5}}=>5
[7,4,6,1,2,5,3]=>[6,1,5,7,2,4,3]=>[3,6,1,7,4,2,5]=>{{1,3},{2,6},{4,7},{5}}=>8
[7,4,6,1,3,2,5]=>[6,3,1,7,2,4,5]=>[4,6,3,7,1,2,5]=>{{1,4,7},{2,6},{3},{5}}=>7
[7,4,6,1,3,5,2]=>[6,5,1,7,3,4,2]=>[4,1,6,7,3,2,5]=>{{1,4,7},{2},{3,6},{5}}=>7
[7,4,6,1,5,2,3]=>[6,5,2,7,1,4,3]=>[6,4,1,7,3,2,5]=>{{1,6},{2,4,7},{3},{5}}=>7
[7,4,6,1,5,3,2]=>[6,3,5,7,1,4,2]=>[6,1,3,7,4,2,5]=>{{1,6},{2},{3},{4,7},{5}}=>10
[7,4,6,2,1,3,5]=>[2,6,1,7,3,4,5]=>[4,2,6,7,1,3,5]=>{{1,4,7},{2},{3,6},{5}}=>7
[7,4,6,2,1,5,3]=>[2,6,5,7,1,4,3]=>[6,2,1,7,4,3,5]=>{{1,6},{2},{3},{4,7},{5}}=>10
[7,4,6,2,3,1,5]=>[3,6,2,7,1,4,5]=>[6,4,2,7,1,3,5]=>{{1,6},{2,4,7},{3},{5}}=>7
[7,4,6,2,3,5,1]=>[5,6,2,7,3,4,1]=>[1,4,6,7,2,3,5]=>{{1},{2,4,7},{3,6},{5}}=>7
[7,4,6,2,5,1,3]=>[5,6,1,7,2,4,3]=>[4,6,1,7,2,3,5]=>{{1,4,7},{2,6},{3},{5}}=>7
[7,4,6,2,5,3,1]=>[3,5,6,7,1,4,2]=>[6,1,2,7,3,4,5]=>{{1,6},{2},{3},{4,7},{5}}=>10
[7,4,6,3,1,2,5]=>[3,1,6,7,2,4,5]=>[3,6,2,7,1,4,5]=>{{1,3},{2,6},{4,7},{5}}=>8
[7,4,6,3,1,5,2]=>[3,6,5,7,2,4,1]=>[1,6,2,7,4,3,5]=>{{1},{2,6},{3},{4,7},{5}}=>10
[7,4,6,3,2,1,5]=>[2,3,6,7,1,4,5]=>[6,2,3,7,1,4,5]=>{{1,6},{2},{3},{4,7},{5}}=>10
[7,4,6,3,2,5,1]=>[5,3,6,7,2,4,1]=>[1,6,3,7,2,4,5]=>{{1},{2,6},{3},{4,7},{5}}=>10
[7,4,6,3,5,1,2]=>[5,1,6,7,3,4,2]=>[3,1,6,7,2,4,5]=>{{1,3,6},{2},{4,7},{5}}=>8
[7,4,6,3,5,2,1]=>[2,5,6,7,3,4,1]=>[1,2,6,7,3,4,5]=>{{1},{2},{3,6},{4,7},{5}}=>10
[7,4,6,5,1,2,3]=>[5,1,2,6,7,3,4]=>[3,4,7,1,2,5,6]=>{{1,3,7},{2,4},{5},{6}}=>10
[7,4,6,5,1,3,2]=>[5,3,1,6,7,2,4]=>[4,7,3,1,2,5,6]=>{{1,4},{2,7},{3},{5},{6}}=>12
[7,4,6,5,2,1,3]=>[2,5,1,6,7,3,4]=>[4,2,7,1,3,5,6]=>{{1,4},{2},{3,7},{5},{6}}=>12
[7,4,6,5,2,3,1]=>[3,5,2,6,7,1,4]=>[7,4,2,1,3,5,6]=>{{1,7},{2,4},{3},{5},{6}}=>12
[7,4,6,5,3,1,2]=>[3,1,5,6,7,2,4]=>[3,7,2,1,4,5,6]=>{{1,3},{2,7},{4},{5},{6}}=>13
[7,4,6,5,3,2,1]=>[2,3,5,6,7,1,4]=>[7,2,3,1,4,5,6]=>{{1,7},{2},{3},{4},{5},{6}}=>15
[7,5,1,2,3,4,6]=>[5,1,2,3,7,4,6]=>[3,4,5,7,2,1,6]=>{{1,3,5},{2,4,7},{6}}=>6
[7,5,1,2,3,6,4]=>[5,1,2,7,6,4,3]=>[3,4,1,7,2,6,5]=>{{1,3},{2,4,7},{5},{6}}=>10
[7,5,1,2,4,3,6]=>[5,1,4,2,7,3,6]=>[3,5,7,4,2,1,6]=>{{1,3,7},{2,5},{4},{6}}=>9
[7,5,1,2,4,6,3]=>[5,1,7,2,6,3,4]=>[3,5,7,1,2,6,4]=>{{1,3,7},{2,5},{4},{6}}=>9
[7,5,1,2,6,3,4]=>[5,1,7,3,6,4,2]=>[3,1,5,7,2,6,4]=>{{1,3,5},{2},{4,7},{6}}=>9
[7,5,1,2,6,4,3]=>[5,1,4,7,6,3,2]=>[3,1,7,4,2,6,5]=>{{1,3,7},{2},{4},{5},{6}}=>13
[7,5,1,3,2,4,6]=>[5,3,1,2,7,4,6]=>[4,5,3,7,2,1,6]=>{{1,4,7},{2,5},{3},{6}}=>8
[7,5,1,3,2,6,4]=>[5,3,1,7,6,4,2]=>[4,1,3,7,2,6,5]=>{{1,4,7},{2},{3},{5},{6}}=>12
[7,5,1,3,4,2,6]=>[5,4,1,3,7,2,6]=>[4,7,5,3,2,1,6]=>{{1,4},{2,7},{3,5},{6}}=>8
[7,5,1,3,4,6,2]=>[5,7,1,2,6,4,3]=>[4,5,1,7,2,6,3]=>{{1,4,7},{2,5},{3},{6}}=>8
[7,5,1,3,6,2,4]=>[5,7,1,3,6,2,4]=>[4,7,5,1,2,6,3]=>{{1,4},{2,7},{3,5},{6}}=>8
[7,5,1,3,6,4,2]=>[5,4,1,7,6,2,3]=>[4,7,1,3,2,6,5]=>{{1,4},{2,7},{3},{5},{6}}=>12
[7,5,1,4,2,3,6]=>[5,4,2,1,7,3,6]=>[5,4,7,3,2,1,6]=>{{1,5},{2,4},{3,7},{6}}=>8
[7,5,1,4,2,6,3]=>[5,4,7,1,6,3,2]=>[5,1,7,3,2,6,4]=>{{1,5},{2},{3,7},{4},{6}}=>11
[7,5,1,4,3,2,6]=>[5,3,4,1,7,2,6]=>[5,7,3,4,2,1,6]=>{{1,5},{2,7},{3},{4},{6}}=>11
[7,5,1,4,3,6,2]=>[5,7,4,1,6,2,3]=>[5,7,1,4,2,6,3]=>{{1,5},{2,7},{3},{4},{6}}=>11
[7,5,1,4,6,2,3]=>[5,7,2,1,6,3,4]=>[5,4,7,1,2,6,3]=>{{1,5},{2,4},{3,7},{6}}=>8
[7,5,1,4,6,3,2]=>[5,3,7,1,6,2,4]=>[5,7,3,1,2,6,4]=>{{1,5},{2,7},{3},{4},{6}}=>11
[7,5,1,6,2,3,4]=>[5,7,2,3,6,4,1]=>[1,4,5,7,2,6,3]=>{{1},{2,4,7},{3,5},{6}}=>8
[7,5,1,6,2,4,3]=>[5,7,4,2,6,3,1]=>[1,5,7,4,2,6,3]=>{{1},{2,5},{3,7},{4},{6}}=>11
[7,5,1,6,3,2,4]=>[5,3,7,2,6,4,1]=>[1,5,3,7,2,6,4]=>{{1},{2,5},{3},{4,7},{6}}=>11
[7,5,1,6,3,4,2]=>[5,4,7,3,6,2,1]=>[1,7,5,3,2,6,4]=>{{1},{2,7},{3,5},{4},{6}}=>11
[7,5,1,6,4,2,3]=>[5,4,2,7,6,3,1]=>[1,4,7,3,2,6,5]=>{{1},{2,4},{3,7},{5},{6}}=>12
[7,5,1,6,4,3,2]=>[5,3,4,7,6,2,1]=>[1,7,3,4,2,6,5]=>{{1},{2,7},{3},{4},{5},{6}}=>15
[7,5,2,1,3,4,6]=>[2,5,1,3,7,4,6]=>[4,2,5,7,3,1,6]=>{{1,4,7},{2},{3,5},{6}}=>8
[7,5,2,1,3,6,4]=>[2,5,1,7,6,4,3]=>[4,2,1,7,3,6,5]=>{{1,4,7},{2},{3},{5},{6}}=>12
[7,5,2,1,4,3,6]=>[2,5,4,1,7,3,6]=>[5,2,7,4,3,1,6]=>{{1,5},{2},{3,7},{4},{6}}=>11
[7,5,2,1,4,6,3]=>[2,5,7,1,6,3,4]=>[5,2,7,1,3,6,4]=>{{1,5},{2},{3,7},{4},{6}}=>11
[7,5,2,1,6,3,4]=>[2,5,7,3,6,4,1]=>[1,2,5,7,3,6,4]=>{{1},{2},{3,5},{4,7},{6}}=>11
[7,5,2,1,6,4,3]=>[2,5,4,7,6,3,1]=>[1,2,7,4,3,6,5]=>{{1},{2},{3,7},{4},{5},{6}}=>15
[7,5,2,3,1,4,6]=>[3,5,2,1,7,4,6]=>[5,4,2,7,3,1,6]=>{{1,5},{2,4,7},{3},{6}}=>8
[7,5,2,3,1,6,4]=>[3,5,2,7,6,4,1]=>[1,4,2,7,3,6,5]=>{{1},{2,4,7},{3},{5},{6}}=>12
[7,5,2,3,4,1,6]=>[4,5,2,3,7,1,6]=>[7,4,5,2,3,1,6]=>{{1,7},{2,4},{3,5},{6}}=>8
[7,5,2,3,4,6,1]=>[6,5,2,3,7,4,1]=>[1,4,5,7,3,2,6]=>{{1},{2,4,7},{3,5},{6}}=>8
[7,5,2,3,6,1,4]=>[6,5,2,1,7,3,4]=>[5,4,7,1,3,2,6]=>{{1,5},{2,4},{3,7},{6}}=>8
[7,5,2,3,6,4,1]=>[4,6,2,5,7,1,3]=>[7,4,1,2,5,3,6]=>{{1,7},{2,4},{3},{5},{6}}=>12
[7,5,2,4,1,3,6]=>[4,5,1,2,7,3,6]=>[4,5,7,2,3,1,6]=>{{1,4},{2,5},{3,7},{6}}=>8
[7,5,2,4,1,6,3]=>[4,5,7,2,6,3,1]=>[1,5,7,2,3,6,4]=>{{1},{2,5},{3,7},{4},{6}}=>11
[7,5,2,4,3,1,6]=>[3,4,5,1,7,2,6]=>[5,7,2,3,4,1,6]=>{{1,5},{2,7},{3},{4},{6}}=>11
[7,5,2,4,3,6,1]=>[6,5,4,2,7,3,1]=>[1,5,7,4,3,2,6]=>{{1},{2,5},{3,7},{4},{6}}=>11
[7,5,2,4,6,1,3]=>[6,5,1,3,7,2,4]=>[4,7,5,1,3,2,6]=>{{1,4},{2,7},{3,5},{6}}=>8
[7,5,2,4,6,3,1]=>[3,6,5,2,7,1,4]=>[7,5,2,1,4,3,6]=>{{1,7},{2,5},{3},{4},{6}}=>11
[7,5,2,6,1,3,4]=>[6,5,1,2,7,4,3]=>[4,5,1,7,3,2,6]=>{{1,4,7},{2,5},{3},{6}}=>8
[7,5,2,6,1,4,3]=>[6,5,4,1,7,2,3]=>[5,7,1,4,3,2,6]=>{{1,5},{2,7},{3},{4},{6}}=>11
[7,5,2,6,3,1,4]=>[3,6,5,1,7,4,2]=>[5,1,2,7,4,3,6]=>{{1,5},{2},{3},{4,7},{6}}=>11
[7,5,2,6,3,4,1]=>[4,5,7,3,6,1,2]=>[7,1,5,2,3,6,4]=>{{1,7},{2},{3,5},{4},{6}}=>11
[7,5,2,6,4,1,3]=>[4,6,1,5,7,3,2]=>[4,1,7,2,5,3,6]=>{{1,4},{2},{3,7},{5},{6}}=>12
[7,5,2,6,4,3,1]=>[3,4,6,5,7,2,1]=>[1,7,2,3,5,4,6]=>{{1},{2,7},{3},{4},{5},{6}}=>15
[7,5,3,1,2,4,6]=>[3,1,5,2,7,4,6]=>[3,5,2,7,4,1,6]=>{{1,3},{2,5},{4,7},{6}}=>9
[7,5,3,1,2,6,4]=>[3,1,5,7,6,4,2]=>[3,1,2,7,4,6,5]=>{{1,3},{2},{4,7},{5},{6}}=>13
[7,5,3,1,4,2,6]=>[3,5,4,2,7,1,6]=>[7,5,2,4,3,1,6]=>{{1,7},{2,5},{3},{4},{6}}=>11
[7,5,3,1,4,6,2]=>[3,5,7,1,6,4,2]=>[5,1,2,7,3,6,4]=>{{1,5},{2},{3},{4,7},{6}}=>11
[7,5,3,1,6,2,4]=>[3,5,7,2,6,1,4]=>[7,5,2,1,3,6,4]=>{{1,7},{2,5},{3},{4},{6}}=>11
[7,5,3,1,6,4,2]=>[3,5,4,7,6,1,2]=>[7,1,2,4,3,6,5]=>{{1,7},{2},{3},{4},{5},{6}}=>15
[7,5,3,2,1,4,6]=>[2,3,5,1,7,4,6]=>[5,2,3,7,4,1,6]=>{{1,5},{2},{3},{4,7},{6}}=>11
[7,5,3,2,1,6,4]=>[2,3,5,7,6,4,1]=>[1,2,3,7,4,6,5]=>{{1},{2},{3},{4,7},{5},{6}}=>15
[7,5,3,2,4,1,6]=>[4,3,5,2,7,1,6]=>[7,5,3,2,4,1,6]=>{{1,7},{2,5},{3},{4},{6}}=>11
[7,5,3,2,4,6,1]=>[6,3,5,2,7,4,1]=>[1,5,3,7,4,2,6]=>{{1},{2,5},{3},{4,7},{6}}=>11
[7,5,3,2,6,1,4]=>[6,3,5,1,7,2,4]=>[5,7,3,1,4,2,6]=>{{1,5},{2,7},{3},{4},{6}}=>11
[7,5,3,2,6,4,1]=>[4,3,6,5,7,1,2]=>[7,1,3,2,5,4,6]=>{{1,7},{2},{3},{4},{5},{6}}=>15
[7,5,3,4,1,2,6]=>[4,1,5,3,7,2,6]=>[3,7,5,2,4,1,6]=>{{1,3,5},{2,7},{4},{6}}=>9
[7,5,3,4,1,6,2]=>[4,6,5,3,7,1,2]=>[7,1,5,2,4,3,6]=>{{1,7},{2},{3,5},{4},{6}}=>11
[7,5,3,4,2,1,6]=>[2,4,5,3,7,1,6]=>[7,2,5,3,4,1,6]=>{{1,7},{2},{3,5},{4},{6}}=>11
[7,5,3,4,2,6,1]=>[6,4,5,3,7,2,1]=>[1,7,5,3,4,2,6]=>{{1},{2,7},{3,5},{4},{6}}=>11
[7,5,3,4,6,1,2]=>[6,1,5,3,7,4,2]=>[3,1,5,7,4,2,6]=>{{1,3,5},{2},{4,7},{6}}=>9
[7,5,3,4,6,2,1]=>[2,6,5,3,7,4,1]=>[1,2,5,7,4,3,6]=>{{1},{2},{3,5},{4,7},{6}}=>11
[7,5,3,6,1,2,4]=>[6,1,5,2,7,3,4]=>[3,5,7,1,4,2,6]=>{{1,3,7},{2,5},{4},{6}}=>9
[7,5,3,6,1,4,2]=>[6,4,5,1,7,3,2]=>[5,1,7,3,4,2,6]=>{{1,5},{2},{3,7},{4},{6}}=>11
[7,5,3,6,2,1,4]=>[2,6,5,1,7,3,4]=>[5,2,7,1,4,3,6]=>{{1,5},{2},{3,7},{4},{6}}=>11
[7,5,3,6,2,4,1]=>[4,6,5,2,7,3,1]=>[1,5,7,2,4,3,6]=>{{1},{2,5},{3,7},{4},{6}}=>11
[7,5,3,6,4,1,2]=>[4,1,6,5,7,2,3]=>[3,7,1,2,5,4,6]=>{{1,3},{2,7},{4},{5},{6}}=>13
[7,5,3,6,4,2,1]=>[2,4,6,5,7,1,3]=>[7,2,1,3,5,4,6]=>{{1,7},{2},{3},{4},{5},{6}}=>15
[7,5,4,1,2,3,6]=>[4,1,2,5,7,3,6]=>[3,4,7,2,5,1,6]=>{{1,3,7},{2,4},{5},{6}}=>10
[7,5,4,1,2,6,3]=>[4,1,5,7,6,2,3]=>[3,7,1,2,4,6,5]=>{{1,3},{2,7},{4},{5},{6}}=>13
[7,5,4,1,3,2,6]=>[4,3,1,5,7,2,6]=>[4,7,3,2,5,1,6]=>{{1,4},{2,7},{3},{5},{6}}=>12
[7,5,4,1,3,6,2]=>[4,5,1,7,6,3,2]=>[4,1,7,2,3,6,5]=>{{1,4},{2},{3,7},{5},{6}}=>12
[7,5,4,1,6,2,3]=>[4,5,2,7,6,1,3]=>[7,4,1,2,3,6,5]=>{{1,7},{2,4},{3},{5},{6}}=>12
[7,5,4,1,6,3,2]=>[4,3,5,7,6,1,2]=>[7,1,3,2,4,6,5]=>{{1,7},{2},{3},{4},{5},{6}}=>15
[7,5,4,2,1,3,6]=>[2,4,1,5,7,3,6]=>[4,2,7,3,5,1,6]=>{{1,4},{2},{3,7},{5},{6}}=>12
[7,5,4,2,1,6,3]=>[2,4,5,7,6,1,3]=>[7,2,1,3,4,6,5]=>{{1,7},{2},{3},{4},{5},{6}}=>15
[7,5,4,2,3,1,6]=>[3,4,2,5,7,1,6]=>[7,4,2,3,5,1,6]=>{{1,7},{2,4},{3},{5},{6}}=>12
[7,5,4,2,3,6,1]=>[6,4,2,5,7,3,1]=>[1,4,7,3,5,2,6]=>{{1},{2,4},{3,7},{5},{6}}=>12
[7,5,4,2,6,1,3]=>[6,4,1,5,7,2,3]=>[4,7,1,3,5,2,6]=>{{1,4},{2,7},{3},{5},{6}}=>12
[7,5,4,2,6,3,1]=>[3,6,4,5,7,1,2]=>[7,1,2,4,5,3,6]=>{{1,7},{2},{3},{4},{5},{6}}=>15
[7,5,4,3,1,2,6]=>[3,1,4,5,7,2,6]=>[3,7,2,4,5,1,6]=>{{1,3},{2,7},{4},{5},{6}}=>13
[7,5,4,3,1,6,2]=>[3,4,5,7,6,2,1]=>[1,7,2,3,4,6,5]=>{{1},{2,7},{3},{4},{5},{6}}=>15
[7,5,4,3,2,1,6]=>[2,3,4,5,7,1,6]=>[7,2,3,4,5,1,6]=>{{1,7},{2},{3},{4},{5},{6}}=>15
[7,5,4,3,2,6,1]=>[6,3,4,5,7,2,1]=>[1,7,3,4,5,2,6]=>{{1},{2,7},{3},{4},{5},{6}}=>15
[7,5,4,3,6,1,2]=>[6,1,4,5,7,3,2]=>[3,1,7,4,5,2,6]=>{{1,3,7},{2},{4},{5},{6}}=>13
[7,5,4,3,6,2,1]=>[2,6,4,5,7,3,1]=>[1,2,7,4,5,3,6]=>{{1},{2},{3,7},{4},{5},{6}}=>15
[7,5,4,6,1,2,3]=>[6,1,2,5,7,4,3]=>[3,4,1,7,5,2,6]=>{{1,3},{2,4,7},{5},{6}}=>10
[7,5,4,6,1,3,2]=>[6,3,1,5,7,4,2]=>[4,1,3,7,5,2,6]=>{{1,4,7},{2},{3},{5},{6}}=>12
[7,5,4,6,2,1,3]=>[2,6,1,5,7,4,3]=>[4,2,1,7,5,3,6]=>{{1,4,7},{2},{3},{5},{6}}=>12
[7,5,4,6,2,3,1]=>[3,6,2,5,7,4,1]=>[1,4,2,7,5,3,6]=>{{1},{2,4,7},{3},{5},{6}}=>12
[7,5,4,6,3,1,2]=>[3,1,6,5,7,4,2]=>[3,1,2,7,5,4,6]=>{{1,3},{2},{4,7},{5},{6}}=>13
[7,5,4,6,3,2,1]=>[2,3,6,5,7,4,1]=>[1,2,3,7,5,4,6]=>{{1},{2},{3},{4,7},{5},{6}}=>15
[7,5,6,1,2,3,4]=>[6,1,2,3,7,5,4]=>[3,4,5,1,7,2,6]=>{{1,3,5,7},{2,4},{6}}=>6
[7,5,6,1,2,4,3]=>[6,1,4,2,7,5,3]=>[3,5,1,4,7,2,6]=>{{1,3},{2,5,7},{4},{6}}=>9
[7,5,6,1,3,2,4]=>[6,3,1,2,7,5,4]=>[4,5,3,1,7,2,6]=>{{1,4},{2,5,7},{3},{6}}=>8
[7,5,6,1,3,4,2]=>[6,4,1,3,7,5,2]=>[4,1,5,3,7,2,6]=>{{1,4},{2},{3,5,7},{6}}=>8
[7,5,6,1,4,2,3]=>[6,4,2,1,7,5,3]=>[5,4,1,3,7,2,6]=>{{1,5,7},{2,4},{3},{6}}=>8
[7,5,6,1,4,3,2]=>[6,3,4,1,7,5,2]=>[5,1,3,4,7,2,6]=>{{1,5,7},{2},{3},{4},{6}}=>11
[7,5,6,2,1,3,4]=>[2,6,1,3,7,5,4]=>[4,2,5,1,7,3,6]=>{{1,4},{2},{3,5,7},{6}}=>8
[7,5,6,2,1,4,3]=>[2,6,4,1,7,5,3]=>[5,2,1,4,7,3,6]=>{{1,5,7},{2},{3},{4},{6}}=>11
[7,5,6,2,3,1,4]=>[3,6,2,1,7,5,4]=>[5,4,2,1,7,3,6]=>{{1,5,7},{2,4},{3},{6}}=>8
[7,5,6,2,3,4,1]=>[4,6,2,3,7,5,1]=>[1,4,5,2,7,3,6]=>{{1},{2,4},{3,5,7},{6}}=>8
[7,5,6,2,4,1,3]=>[4,6,1,2,7,5,3]=>[4,5,1,2,7,3,6]=>{{1,4},{2,5,7},{3},{6}}=>8
[7,5,6,2,4,3,1]=>[3,4,6,1,7,5,2]=>[5,1,2,3,7,4,6]=>{{1,5,7},{2},{3},{4},{6}}=>11
[7,5,6,3,1,2,4]=>[3,1,6,2,7,5,4]=>[3,5,2,1,7,4,6]=>{{1,3},{2,5,7},{4},{6}}=>9
[7,5,6,3,1,4,2]=>[3,6,4,2,7,5,1]=>[1,5,2,4,7,3,6]=>{{1},{2,5,7},{3},{4},{6}}=>11
[7,5,6,3,2,1,4]=>[2,3,6,1,7,5,4]=>[5,2,3,1,7,4,6]=>{{1,5,7},{2},{3},{4},{6}}=>11
[7,5,6,3,2,4,1]=>[4,3,6,2,7,5,1]=>[1,5,3,2,7,4,6]=>{{1},{2,5,7},{3},{4},{6}}=>11
[7,5,6,3,4,1,2]=>[4,1,6,3,7,5,2]=>[3,1,5,2,7,4,6]=>{{1,3,5,7},{2},{4},{6}}=>9
[7,5,6,3,4,2,1]=>[2,4,6,3,7,5,1]=>[1,2,5,3,7,4,6]=>{{1},{2},{3,5,7},{4},{6}}=>11
[7,5,6,4,1,2,3]=>[4,1,2,6,7,5,3]=>[3,4,1,2,7,5,6]=>{{1,3},{2,4},{5,7},{6}}=>10
[7,5,6,4,1,3,2]=>[4,3,1,6,7,5,2]=>[4,1,3,2,7,5,6]=>{{1,4},{2},{3},{5,7},{6}}=>12
[7,5,6,4,2,1,3]=>[2,4,1,6,7,5,3]=>[4,2,1,3,7,5,6]=>{{1,4},{2},{3},{5,7},{6}}=>12
[7,5,6,4,2,3,1]=>[3,4,2,6,7,5,1]=>[1,4,2,3,7,5,6]=>{{1},{2,4},{3},{5,7},{6}}=>12
[7,5,6,4,3,1,2]=>[3,1,4,6,7,5,2]=>[3,1,2,4,7,5,6]=>{{1,3},{2},{4},{5,7},{6}}=>13
[7,5,6,4,3,2,1]=>[2,3,4,6,7,5,1]=>[1,2,3,4,7,5,6]=>{{1},{2},{3},{4},{5,7},{6}}=>15
[7,6,1,2,3,4,5]=>[6,1,2,3,4,7,5]=>[3,4,5,6,1,2,7]=>{{1,3,5},{2,4,6},{7}}=>7
[7,6,1,2,3,5,4]=>[6,1,2,5,3,7,4]=>[3,4,6,1,5,2,7]=>{{1,3,6},{2,4},{5},{7}}=>11
[7,6,1,2,4,3,5]=>[6,1,4,2,3,7,5]=>[3,5,6,4,1,2,7]=>{{1,3,6},{2,5},{4},{7}}=>10
[7,6,1,2,4,5,3]=>[6,1,5,2,4,7,3]=>[3,5,1,6,4,2,7]=>{{1,3},{2,5},{4,6},{7}}=>10
[7,6,1,2,5,3,4]=>[6,1,5,3,2,7,4]=>[3,6,5,1,4,2,7]=>{{1,3,5},{2,6},{4},{7}}=>10
[7,6,1,2,5,4,3]=>[6,1,4,5,2,7,3]=>[3,6,1,4,5,2,7]=>{{1,3},{2,6},{4},{5},{7}}=>14
[7,6,1,3,2,4,5]=>[6,3,1,2,4,7,5]=>[4,5,3,6,1,2,7]=>{{1,4,6},{2,5},{3},{7}}=>9
[7,6,1,3,2,5,4]=>[6,3,1,5,2,7,4]=>[4,6,3,1,5,2,7]=>{{1,4},{2,6},{3},{5},{7}}=>13
[7,6,1,3,4,2,5]=>[6,4,1,3,2,7,5]=>[4,6,5,3,1,2,7]=>{{1,4},{2,6},{3,5},{7}}=>9
[7,6,1,3,4,5,2]=>[6,5,1,2,3,7,4]=>[4,5,6,1,3,2,7]=>{{1,4},{2,5},{3,6},{7}}=>9
[7,6,1,3,5,2,4]=>[6,5,1,3,4,7,2]=>[4,1,5,6,3,2,7]=>{{1,4,6},{2},{3,5},{7}}=>9
[7,6,1,3,5,4,2]=>[6,4,1,5,3,7,2]=>[4,1,6,3,5,2,7]=>{{1,4},{2},{3,6},{5},{7}}=>13
[7,6,1,4,2,3,5]=>[6,4,2,1,3,7,5]=>[5,4,6,3,1,2,7]=>{{1,5},{2,4},{3,6},{7}}=>9
[7,6,1,4,2,5,3]=>[6,4,5,1,2,7,3]=>[5,6,1,3,4,2,7]=>{{1,5},{2,6},{3},{4},{7}}=>12
[7,6,1,4,3,2,5]=>[6,3,4,1,2,7,5]=>[5,6,3,4,1,2,7]=>{{1,5},{2,6},{3},{4},{7}}=>12
[7,6,1,4,3,5,2]=>[6,5,4,1,3,7,2]=>[5,1,6,4,3,2,7]=>{{1,5},{2},{3,6},{4},{7}}=>12
[7,6,1,4,5,2,3]=>[6,5,2,1,4,7,3]=>[5,4,1,6,3,2,7]=>{{1,5},{2,4,6},{3},{7}}=>9
[7,6,1,4,5,3,2]=>[6,3,5,1,4,7,2]=>[5,1,3,6,4,2,7]=>{{1,5},{2},{3},{4,6},{7}}=>12
[7,6,1,5,2,3,4]=>[6,5,2,3,1,7,4]=>[6,4,5,1,3,2,7]=>{{1,6},{2,4},{3,5},{7}}=>9
[7,6,1,5,2,4,3]=>[6,5,4,2,1,7,3]=>[6,5,1,4,3,2,7]=>{{1,6},{2,5},{3},{4},{7}}=>12
[7,6,1,5,3,2,4]=>[6,3,5,2,1,7,4]=>[6,5,3,1,4,2,7]=>{{1,6},{2,5},{3},{4},{7}}=>12
[7,6,1,5,3,4,2]=>[6,4,5,3,1,7,2]=>[6,1,5,3,4,2,7]=>{{1,6},{2},{3,5},{4},{7}}=>12
[7,6,1,5,4,2,3]=>[6,4,2,5,1,7,3]=>[6,4,1,3,5,2,7]=>{{1,6},{2,4},{3},{5},{7}}=>13
[7,6,1,5,4,3,2]=>[6,3,4,5,1,7,2]=>[6,1,3,4,5,2,7]=>{{1,6},{2},{3},{4},{5},{7}}=>16
[7,6,2,1,3,4,5]=>[2,6,1,3,4,7,5]=>[4,2,5,6,1,3,7]=>{{1,4,6},{2},{3,5},{7}}=>9
[7,6,2,1,3,5,4]=>[2,6,1,5,3,7,4]=>[4,2,6,1,5,3,7]=>{{1,4},{2},{3,6},{5},{7}}=>13
[7,6,2,1,4,3,5]=>[2,6,4,1,3,7,5]=>[5,2,6,4,1,3,7]=>{{1,5},{2},{3,6},{4},{7}}=>12
[7,6,2,1,4,5,3]=>[2,6,5,1,4,7,3]=>[5,2,1,6,4,3,7]=>{{1,5},{2},{3},{4,6},{7}}=>12
[7,6,2,1,5,3,4]=>[2,6,5,3,1,7,4]=>[6,2,5,1,4,3,7]=>{{1,6},{2},{3,5},{4},{7}}=>12
[7,6,2,1,5,4,3]=>[2,6,4,5,1,7,3]=>[6,2,1,4,5,3,7]=>{{1,6},{2},{3},{4},{5},{7}}=>16
[7,6,2,3,1,4,5]=>[3,6,2,1,4,7,5]=>[5,4,2,6,1,3,7]=>{{1,5},{2,4,6},{3},{7}}=>9
[7,6,2,3,1,5,4]=>[3,6,2,5,1,7,4]=>[6,4,2,1,5,3,7]=>{{1,6},{2,4},{3},{5},{7}}=>13
[7,6,2,3,4,1,5]=>[4,6,2,3,1,7,5]=>[6,4,5,2,1,3,7]=>{{1,6},{2,4},{3,5},{7}}=>9
[7,6,2,3,4,5,1]=>[5,6,2,3,4,7,1]=>[1,4,5,6,2,3,7]=>{{1},{2,4,6},{3,5},{7}}=>9
[7,6,2,3,5,1,4]=>[5,6,2,1,3,7,4]=>[5,4,6,1,2,3,7]=>{{1,5},{2,4},{3,6},{7}}=>9
[7,6,2,3,5,4,1]=>[4,5,2,6,1,7,3]=>[6,4,1,2,3,5,7]=>{{1,6},{2,4},{3},{5},{7}}=>13
[7,6,2,4,1,3,5]=>[4,6,1,2,3,7,5]=>[4,5,6,2,1,3,7]=>{{1,4},{2,5},{3,6},{7}}=>9
[7,6,2,4,1,5,3]=>[4,6,5,2,1,7,3]=>[6,5,1,2,4,3,7]=>{{1,6},{2,5},{3},{4},{7}}=>12
[7,6,2,4,3,1,5]=>[3,4,6,1,2,7,5]=>[5,6,2,3,1,4,7]=>{{1,5},{2,6},{3},{4},{7}}=>12
[7,6,2,4,3,5,1]=>[5,6,4,2,3,7,1]=>[1,5,6,4,2,3,7]=>{{1},{2,5},{3,6},{4},{7}}=>12
[7,6,2,4,5,1,3]=>[5,6,1,3,2,7,4]=>[4,6,5,1,2,3,7]=>{{1,4},{2,6},{3,5},{7}}=>9
[7,6,2,4,5,3,1]=>[3,5,6,2,1,7,4]=>[6,5,2,1,3,4,7]=>{{1,6},{2,5},{3},{4},{7}}=>12
[7,6,2,5,1,3,4]=>[5,6,1,2,4,7,3]=>[4,5,1,6,2,3,7]=>{{1,4,6},{2,5},{3},{7}}=>9
[7,6,2,5,1,4,3]=>[5,6,4,1,2,7,3]=>[5,6,1,4,2,3,7]=>{{1,5},{2,6},{3},{4},{7}}=>12
[7,6,2,5,3,1,4]=>[3,5,6,1,4,7,2]=>[5,1,2,6,3,4,7]=>{{1,5},{2},{3},{4,6},{7}}=>12
[7,6,2,5,3,4,1]=>[4,6,5,3,2,7,1]=>[1,6,5,2,4,3,7]=>{{1},{2,6},{3,5},{4},{7}}=>12
[7,6,2,5,4,1,3]=>[4,5,1,6,3,7,2]=>[4,1,6,2,3,5,7]=>{{1,4},{2},{3,6},{5},{7}}=>13
[7,6,2,5,4,3,1]=>[3,4,5,6,2,7,1]=>[1,6,2,3,4,5,7]=>{{1},{2,6},{3},{4},{5},{7}}=>16
[7,6,3,1,2,4,5]=>[3,1,6,2,4,7,5]=>[3,5,2,6,1,4,7]=>{{1,3},{2,5},{4,6},{7}}=>10
[7,6,3,1,2,5,4]=>[3,1,6,5,2,7,4]=>[3,6,2,1,5,4,7]=>{{1,3},{2,6},{4},{5},{7}}=>14
[7,6,3,1,4,2,5]=>[3,6,4,2,1,7,5]=>[6,5,2,4,1,3,7]=>{{1,6},{2,5},{3},{4},{7}}=>12
[7,6,3,1,4,5,2]=>[3,6,5,1,2,7,4]=>[5,6,2,1,4,3,7]=>{{1,5},{2,6},{3},{4},{7}}=>12
[7,6,3,1,5,2,4]=>[3,6,5,2,4,7,1]=>[1,5,2,6,4,3,7]=>{{1},{2,5},{3},{4,6},{7}}=>12
[7,6,3,1,5,4,2]=>[3,6,4,5,2,7,1]=>[1,6,2,4,5,3,7]=>{{1},{2,6},{3},{4},{5},{7}}=>16
[7,6,3,2,1,4,5]=>[2,3,6,1,4,7,5]=>[5,2,3,6,1,4,7]=>{{1,5},{2},{3},{4,6},{7}}=>12
[7,6,3,2,1,5,4]=>[2,3,6,5,1,7,4]=>[6,2,3,1,5,4,7]=>{{1,6},{2},{3},{4},{5},{7}}=>16
[7,6,3,2,4,1,5]=>[4,3,6,2,1,7,5]=>[6,5,3,2,1,4,7]=>{{1,6},{2,5},{3},{4},{7}}=>12
[7,6,3,2,4,5,1]=>[5,3,6,2,4,7,1]=>[1,5,3,6,2,4,7]=>{{1},{2,5},{3},{4,6},{7}}=>12
[7,6,3,2,5,1,4]=>[5,3,6,1,2,7,4]=>[5,6,3,1,2,4,7]=>{{1,5},{2,6},{3},{4},{7}}=>12
[7,6,3,2,5,4,1]=>[4,3,5,6,1,7,2]=>[6,1,3,2,4,5,7]=>{{1,6},{2},{3},{4},{5},{7}}=>16
[7,6,3,4,1,2,5]=>[4,1,6,3,2,7,5]=>[3,6,5,2,1,4,7]=>{{1,3,5},{2,6},{4},{7}}=>10
[7,6,3,4,1,5,2]=>[4,5,6,3,1,7,2]=>[6,1,5,2,3,4,7]=>{{1,6},{2},{3,5},{4},{7}}=>12
[7,6,3,4,2,1,5]=>[2,4,6,3,1,7,5]=>[6,2,5,3,1,4,7]=>{{1,6},{2},{3,5},{4},{7}}=>12
[7,6,3,4,2,5,1]=>[5,4,6,3,2,7,1]=>[1,6,5,3,2,4,7]=>{{1},{2,6},{3,5},{4},{7}}=>12
[7,6,3,4,5,1,2]=>[5,1,6,3,4,7,2]=>[3,1,5,6,2,4,7]=>{{1,3,5},{2},{4,6},{7}}=>10
[7,6,3,4,5,2,1]=>[2,5,6,3,4,7,1]=>[1,2,5,6,3,4,7]=>{{1},{2},{3,5},{4,6},{7}}=>12
[7,6,3,5,1,2,4]=>[5,1,6,2,3,7,4]=>[3,5,6,1,2,4,7]=>{{1,3,6},{2,5},{4},{7}}=>10
[7,6,3,5,1,4,2]=>[5,4,6,1,3,7,2]=>[5,1,6,3,2,4,7]=>{{1,5},{2},{3,6},{4},{7}}=>12
[7,6,3,5,2,1,4]=>[2,5,6,1,3,7,4]=>[5,2,6,1,3,4,7]=>{{1,5},{2},{3,6},{4},{7}}=>12
[7,6,3,5,2,4,1]=>[4,5,6,2,3,7,1]=>[1,5,6,2,3,4,7]=>{{1},{2,5},{3,6},{4},{7}}=>12
[7,6,3,5,4,1,2]=>[4,1,5,6,2,7,3]=>[3,6,1,2,4,5,7]=>{{1,3},{2,6},{4},{5},{7}}=>14
[7,6,3,5,4,2,1]=>[2,4,5,6,1,7,3]=>[6,2,1,3,4,5,7]=>{{1,6},{2},{3},{4},{5},{7}}=>16
[7,6,4,1,2,3,5]=>[4,1,2,6,3,7,5]=>[3,4,6,2,1,5,7]=>{{1,3,6},{2,4},{5},{7}}=>11
[7,6,4,1,2,5,3]=>[4,1,6,5,3,7,2]=>[3,1,6,2,5,4,7]=>{{1,3,6},{2},{4},{5},{7}}=>14
[7,6,4,1,3,2,5]=>[4,3,1,6,2,7,5]=>[4,6,3,2,1,5,7]=>{{1,4},{2,6},{3},{5},{7}}=>13
[7,6,4,1,3,5,2]=>[4,6,1,5,2,7,3]=>[4,6,1,2,5,3,7]=>{{1,4},{2,6},{3},{5},{7}}=>13
[7,6,4,1,5,2,3]=>[4,6,2,5,3,7,1]=>[1,4,6,2,5,3,7]=>{{1},{2,4},{3,6},{5},{7}}=>13
[7,6,4,1,5,3,2]=>[4,3,6,5,2,7,1]=>[1,6,3,2,5,4,7]=>{{1},{2,6},{3},{4},{5},{7}}=>16
[7,6,4,2,1,3,5]=>[2,4,1,6,3,7,5]=>[4,2,6,3,1,5,7]=>{{1,4},{2},{3,6},{5},{7}}=>13
[7,6,4,2,1,5,3]=>[2,4,6,5,3,7,1]=>[1,2,6,3,5,4,7]=>{{1},{2},{3,6},{4},{5},{7}}=>16
[7,6,4,2,3,1,5]=>[3,4,2,6,1,7,5]=>[6,4,2,3,1,5,7]=>{{1,6},{2,4},{3},{5},{7}}=>13
[7,6,4,2,3,5,1]=>[5,4,2,6,3,7,1]=>[1,4,6,3,2,5,7]=>{{1},{2,4},{3,6},{5},{7}}=>13
[7,6,4,2,5,1,3]=>[5,4,1,6,2,7,3]=>[4,6,1,3,2,5,7]=>{{1,4},{2,6},{3},{5},{7}}=>13
[7,6,4,2,5,3,1]=>[3,5,4,6,1,7,2]=>[6,1,2,4,3,5,7]=>{{1,6},{2},{3},{4},{5},{7}}=>16
[7,6,4,3,1,2,5]=>[3,1,4,6,2,7,5]=>[3,6,2,4,1,5,7]=>{{1,3},{2,6},{4},{5},{7}}=>14
[7,6,4,3,1,5,2]=>[3,4,6,5,1,7,2]=>[6,1,2,3,5,4,7]=>{{1,6},{2},{3},{4},{5},{7}}=>16
[7,6,4,3,2,1,5]=>[2,3,4,6,1,7,5]=>[6,2,3,4,1,5,7]=>{{1,6},{2},{3},{4},{5},{7}}=>16
[7,6,4,3,2,5,1]=>[5,3,4,6,2,7,1]=>[1,6,3,4,2,5,7]=>{{1},{2,6},{3},{4},{5},{7}}=>16
[7,6,4,3,5,1,2]=>[5,1,4,6,3,7,2]=>[3,1,6,4,2,5,7]=>{{1,3,6},{2},{4},{5},{7}}=>14
[7,6,4,3,5,2,1]=>[2,5,4,6,3,7,1]=>[1,2,6,4,3,5,7]=>{{1},{2},{3,6},{4},{5},{7}}=>16
[7,6,4,5,1,2,3]=>[5,1,2,6,4,7,3]=>[3,4,1,6,2,5,7]=>{{1,3},{2,4,6},{5},{7}}=>11
[7,6,4,5,1,3,2]=>[5,3,1,6,4,7,2]=>[4,1,3,6,2,5,7]=>{{1,4,6},{2},{3},{5},{7}}=>13
[7,6,4,5,2,1,3]=>[2,5,1,6,4,7,3]=>[4,2,1,6,3,5,7]=>{{1,4,6},{2},{3},{5},{7}}=>13
[7,6,4,5,2,3,1]=>[3,5,2,6,4,7,1]=>[1,4,2,6,3,5,7]=>{{1},{2,4,6},{3},{5},{7}}=>13
[7,6,4,5,3,1,2]=>[3,1,5,6,4,7,2]=>[3,1,2,6,4,5,7]=>{{1,3},{2},{4,6},{5},{7}}=>14
[7,6,4,5,3,2,1]=>[2,3,5,6,4,7,1]=>[1,2,3,6,4,5,7]=>{{1},{2},{3},{4,6},{5},{7}}=>16
[7,6,5,1,2,3,4]=>[5,1,2,3,6,7,4]=>[3,4,5,1,2,6,7]=>{{1,3,5},{2,4},{6},{7}}=>12
[7,6,5,1,2,4,3]=>[5,1,4,2,6,7,3]=>[3,5,1,4,2,6,7]=>{{1,3},{2,5},{4},{6},{7}}=>15
[7,6,5,1,3,2,4]=>[5,3,1,2,6,7,4]=>[4,5,3,1,2,6,7]=>{{1,4},{2,5},{3},{6},{7}}=>14
[7,6,5,1,3,4,2]=>[5,4,1,3,6,7,2]=>[4,1,5,3,2,6,7]=>{{1,4},{2},{3,5},{6},{7}}=>14
[7,6,5,1,4,2,3]=>[5,4,2,1,6,7,3]=>[5,4,1,3,2,6,7]=>{{1,5},{2,4},{3},{6},{7}}=>14
[7,6,5,1,4,3,2]=>[5,3,4,1,6,7,2]=>[5,1,3,4,2,6,7]=>{{1,5},{2},{3},{4},{6},{7}}=>17
[7,6,5,2,1,3,4]=>[2,5,1,3,6,7,4]=>[4,2,5,1,3,6,7]=>{{1,4},{2},{3,5},{6},{7}}=>14
[7,6,5,2,1,4,3]=>[2,5,4,1,6,7,3]=>[5,2,1,4,3,6,7]=>{{1,5},{2},{3},{4},{6},{7}}=>17
[7,6,5,2,3,1,4]=>[3,5,2,1,6,7,4]=>[5,4,2,1,3,6,7]=>{{1,5},{2,4},{3},{6},{7}}=>14
[7,6,5,2,3,4,1]=>[4,5,2,3,6,7,1]=>[1,4,5,2,3,6,7]=>{{1},{2,4},{3,5},{6},{7}}=>14
[7,6,5,2,4,1,3]=>[4,5,1,2,6,7,3]=>[4,5,1,2,3,6,7]=>{{1,4},{2,5},{3},{6},{7}}=>14
[7,6,5,2,4,3,1]=>[3,4,5,1,6,7,2]=>[5,1,2,3,4,6,7]=>{{1,5},{2},{3},{4},{6},{7}}=>17
[7,6,5,3,1,2,4]=>[3,1,5,2,6,7,4]=>[3,5,2,1,4,6,7]=>{{1,3},{2,5},{4},{6},{7}}=>15
[7,6,5,3,1,4,2]=>[3,5,4,2,6,7,1]=>[1,5,2,4,3,6,7]=>{{1},{2,5},{3},{4},{6},{7}}=>17
[7,6,5,3,2,1,4]=>[2,3,5,1,6,7,4]=>[5,2,3,1,4,6,7]=>{{1,5},{2},{3},{4},{6},{7}}=>17
[7,6,5,3,2,4,1]=>[4,3,5,2,6,7,1]=>[1,5,3,2,4,6,7]=>{{1},{2,5},{3},{4},{6},{7}}=>17
[7,6,5,3,4,1,2]=>[4,1,5,3,6,7,2]=>[3,1,5,2,4,6,7]=>{{1,3,5},{2},{4},{6},{7}}=>15
[7,6,5,3,4,2,1]=>[2,4,5,3,6,7,1]=>[1,2,5,3,4,6,7]=>{{1},{2},{3,5},{4},{6},{7}}=>17
[7,6,5,4,1,2,3]=>[4,1,2,5,6,7,3]=>[3,4,1,2,5,6,7]=>{{1,3},{2,4},{5},{6},{7}}=>16
[7,6,5,4,1,3,2]=>[4,3,1,5,6,7,2]=>[4,1,3,2,5,6,7]=>{{1,4},{2},{3},{5},{6},{7}}=>18
[7,6,5,4,2,1,3]=>[2,4,1,5,6,7,3]=>[4,2,1,3,5,6,7]=>{{1,4},{2},{3},{5},{6},{7}}=>18
[7,6,5,4,2,3,1]=>[3,4,2,5,6,7,1]=>[1,4,2,3,5,6,7]=>{{1},{2,4},{3},{5},{6},{7}}=>18
[7,6,5,4,3,1,2]=>[3,1,4,5,6,7,2]=>[3,1,2,4,5,6,7]=>{{1,3},{2},{4},{5},{6},{7}}=>19
[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]=>[1,2,3,4,5,6,7]=>{{1},{2},{3},{4},{5},{6},{7}}=>21
[3,4,5,6,7,8,2,1]=>[2,8,3,4,5,6,7,1]=>[1,2,4,5,6,7,8,3]=>{{1},{2},{3,4,5,6,7,8}}=>3
[4,5,6,7,8,2,3,1]=>[3,8,2,4,5,6,7,1]=>[1,4,2,5,6,7,8,3]=>{{1},{2,4,5,6,7,8},{3}}=>3
[3,2,4,5,6,7,8,1]=>[8,3,2,4,5,6,7,1]=>[1,4,3,5,6,7,8,2]=>{{1},{2,4,5,6,7,8},{3}}=>3
[2,3,4,5,6,7,8,1]=>[8,2,3,4,5,6,7,1]=>[1,3,4,5,6,7,8,2]=>{{1},{2,3,4,5,6,7,8}}=>1
[3,4,5,6,7,8,1,2]=>[8,1,3,4,5,6,7,2]=>[3,1,4,5,6,7,8,2]=>{{1,3,4,5,6,7,8},{2}}=>1
[4,5,6,7,8,1,2,3]=>[8,1,2,4,5,6,7,3]=>[3,4,1,5,6,7,8,2]=>{{1,3},{2,4,5,6,7,8}}=>1
[4,1,2,3,5,6,7,8]=>[4,1,2,3,5,6,7,8]=>[3,4,5,2,6,7,8,1]=>{{1,3,5,6,7,8},{2,4}}=>1
[3,2,1,4,5,6,7,8]=>[2,3,1,4,5,6,7,8]=>[4,2,3,5,6,7,8,1]=>{{1,4,5,6,7,8},{2},{3}}=>3
[2,3,1,4,5,6,7,8]=>[3,2,1,4,5,6,7,8]=>[4,3,2,5,6,7,8,1]=>{{1,4,5,6,7,8},{2,3}}=>1
[3,1,2,4,5,6,7,8]=>[3,1,2,4,5,6,7,8]=>[3,4,2,5,6,7,8,1]=>{{1,3},{2,4,5,6,7,8}}=>1
[2,1,3,4,5,6,7,8]=>[2,1,3,4,5,6,7,8]=>[3,2,4,5,6,7,8,1]=>{{1,3,4,5,6,7,8},{2}}=>1
[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>{{1,2,3,4,5,6,7,8}}=>0
[2,3,4,5,7,6,8,1]=>[8,2,3,4,5,7,6,1]=>[1,3,4,5,6,8,7,2]=>{{1},{2,3,4,5,6,8},{7}}=>7
[1,3,4,5,6,7,8,2]=>[1,8,3,4,5,6,7,2]=>[2,1,4,5,6,7,8,3]=>{{1,2},{3,4,5,6,7,8}}=>2
[1,2,3,4,5,7,8,6]=>[1,2,3,4,5,8,7,6]=>[2,3,4,5,6,1,8,7]=>{{1,2,3,4,5,6},{7,8}}=>6
[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,8,7]=>[2,3,4,5,6,7,1,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[1,2,3,4,5,7,6,8]=>[1,2,3,4,5,7,6,8]=>[2,3,4,5,6,8,7,1]=>{{1,2,3,4,5,6,8},{7}}=>6
[1,2,3,5,6,4,7,8]=>[1,2,3,6,5,4,7,8]=>[2,3,4,7,6,5,8,1]=>{{1,2,3,4,7,8},{5,6}}=>4
[1,3,4,2,5,6,7,8]=>[1,4,3,2,5,6,7,8]=>[2,5,4,3,6,7,8,1]=>{{1,2,5,6,7,8},{3,4}}=>2
[2,4,5,6,7,8,1,3]=>[8,2,1,4,5,6,7,3]=>[4,3,1,5,6,7,8,2]=>{{1,4,5,6,7,8},{2,3}}=>1
[2,1,5,6,7,8,3,4]=>[2,1,8,3,5,6,7,4]=>[3,2,5,1,6,7,8,4]=>{{1,3,5,6,7,8},{2},{4}}=>4
[2,3,4,7,8,1,5,6]=>[8,2,3,4,1,5,7,6]=>[6,3,4,5,7,1,8,2]=>{{1,6},{2,3,4,5,7,8}}=>1
[2,3,4,5,6,8,1,7]=>[8,2,3,4,5,6,1,7]=>[8,3,4,5,6,7,1,2]=>{{1,8},{2,3,4,5,6,7}}=>1
[3,1,4,5,6,7,8,2]=>[3,8,1,4,5,6,7,2]=>[4,1,2,5,6,7,8,3]=>{{1,4,5,6,7,8},{2},{3}}=>3
[1,3,5,6,7,8,2,4]=>[1,8,3,2,5,6,7,4]=>[2,5,4,1,6,7,8,3]=>{{1,2,5,6,7,8},{3,4}}=>2
[1,4,5,6,7,8,2,3]=>[1,8,2,4,5,6,7,3]=>[2,4,1,5,6,7,8,3]=>{{1,2,4,5,6,7,8},{3}}=>2
[1,2,4,6,7,8,3,5]=>[1,2,8,4,3,6,7,5]=>[2,3,6,5,1,7,8,4]=>{{1,2,3,6,7,8},{4,5}}=>3
[1,2,5,6,7,8,3,4]=>[1,2,8,3,5,6,7,4]=>[2,3,5,1,6,7,8,4]=>{{1,2,3,5,6,7,8},{4}}=>3
[1,2,3,5,7,8,4,6]=>[1,2,3,8,5,4,7,6]=>[2,3,4,7,6,1,8,5]=>{{1,2,3,4,7,8},{5,6}}=>4
[1,2,5,8,3,4,6,7]=>[1,2,8,3,5,4,6,7]=>[2,3,5,7,6,8,1,4]=>{{1,2,3,5,6,8},{4,7}}=>3
[1,6,7,8,2,3,4,5]=>[1,8,2,3,4,6,7,5]=>[2,4,5,6,1,7,8,3]=>{{1,2,4,6,7,8},{3,5}}=>2
[1,2,3,4,6,8,5,7]=>[1,2,3,4,8,6,5,7]=>[2,3,4,5,8,7,1,6]=>{{1,2,3,4,5,8},{6,7}}=>5
[1,2,3,4,7,8,5,6]=>[1,2,3,4,8,5,7,6]=>[2,3,4,5,7,1,8,6]=>{{1,2,3,4,5,7,8},{6}}=>5
[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[2,3,4,6,7,8,1,5]=>{{1,2,3,4,6,8},{5,7}}=>4
[1,2,3,4,8,5,6,7]=>[1,2,3,4,8,5,6,7]=>[2,3,4,5,7,8,1,6]=>{{1,2,3,4,5,7},{6,8}}=>5
[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]=>[2,3,4,5,6,8,1,7]=>{{1,2,3,4,5,6,8},{7}}=>6
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Description
The rob statistic of a set partition.
Let S=B1,…,Bk be a set partition with ordered blocks Bi and with minBa<minBb for a<b.
According to [1, Definition 3], a rob (right-opener-bigger) of S is given by a pair i<j such that j=minBb and i∈Ba for a<b.
This is also the number of occurrences of the pattern {{1}, {2}}, such that 2 is the minimal element of a block.
Let S=B1,…,Bk be a set partition with ordered blocks Bi and with minBa<minBb for a<b.
According to [1, Definition 3], a rob (right-opener-bigger) of S is given by a pair i<j such that j=minBb and i∈Ba for a<b.
This is also the number of occurrences of the pattern {{1}, {2}}, such that 2 is the minimal element of a block.
Map
weak exceedance partition
Description
The set partition induced by the weak exceedances of a permutation.
This is the coarsest set partition that contains all arcs (i,π(i)) with i≤π(i).
This is the coarsest set partition that contains all arcs (i,π(i)) with i≤π(i).
Map
descent views to invisible inversion bottoms
Description
Return a permutation whose multiset of invisible inversion bottoms is the multiset of descent views of the given permutation.
This map is similar to Mp00235descent views to invisible inversion bottoms, but different beginning with permutations of six elements.
An invisible inversion of a permutation σ is a pair i<j such that i<σ(j)<σ(i). The element σ(j) is then an invisible inversion bottom.
A descent view in a permutation π is an element π(j) such that π(i+1)<π(j)<π(i), and additionally the smallest element in the decreasing run containing π(i) is smaller than the smallest element in the decreasing run containing π(j).
This map is a bijection χ:Sn→Sn, such that
This map is similar to Mp00235descent views to invisible inversion bottoms, but different beginning with permutations of six elements.
An invisible inversion of a permutation σ is a pair i<j such that i<σ(j)<σ(i). The element σ(j) is then an invisible inversion bottom.
A descent view in a permutation π is an element π(j) such that π(i+1)<π(j)<π(i), and additionally the smallest element in the decreasing run containing π(i) is smaller than the smallest element in the decreasing run containing π(j).
This map is a bijection χ:Sn→Sn, such that
- the multiset of descent views in π is the multiset of invisible inversion bottoms in χ(π),
- the set of left-to-right maximima of π is the set of maximal elements in the cycles of χ(π),
- the set of global ascent of π is the set of global ascent of χ(π),
- the set of maximal elements in the decreasing runs of π is the set of deficiency positions of χ(π), and
- the set of minimal elements in the decreasing runs of π is the set of deficiency values of χ(π).
Map
Kreweras complement
Description
Sends the permutation π∈Sn to the permutation π−1c where c=(1,…,n) is the long cycle.
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