Identifier
-
Mp00239:
Permutations
—Corteel⟶
Permutations
Mp00151: Permutations —to cycle type⟶ Set partitions
St000496: Set partitions ⟶ ℤ
Values
=>
Cc0009;cc-rep
[1]=>[1]=>{{1}}=>0
[1,2]=>[1,2]=>{{1},{2}}=>0
[2,1]=>[2,1]=>{{1,2}}=>0
[1,2,3]=>[1,2,3]=>{{1},{2},{3}}=>0
[1,3,2]=>[1,3,2]=>{{1},{2,3}}=>0
[2,1,3]=>[2,1,3]=>{{1,2},{3}}=>0
[2,3,1]=>[3,2,1]=>{{1,3},{2}}=>1
[3,1,2]=>[3,1,2]=>{{1,2,3}}=>0
[3,2,1]=>[2,3,1]=>{{1,2,3}}=>0
[1,2,3,4]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>0
[1,2,4,3]=>[1,2,4,3]=>{{1},{2},{3,4}}=>0
[1,3,2,4]=>[1,3,2,4]=>{{1},{2,3},{4}}=>0
[1,3,4,2]=>[1,4,3,2]=>{{1},{2,4},{3}}=>1
[1,4,2,3]=>[1,4,2,3]=>{{1},{2,3,4}}=>0
[1,4,3,2]=>[1,3,4,2]=>{{1},{2,3,4}}=>0
[2,1,3,4]=>[2,1,3,4]=>{{1,2},{3},{4}}=>0
[2,1,4,3]=>[2,1,4,3]=>{{1,2},{3,4}}=>0
[2,3,1,4]=>[3,2,1,4]=>{{1,3},{2},{4}}=>1
[2,3,4,1]=>[4,2,3,1]=>{{1,4},{2},{3}}=>2
[2,4,1,3]=>[4,2,1,3]=>{{1,3,4},{2}}=>2
[2,4,3,1]=>[3,2,4,1]=>{{1,3,4},{2}}=>2
[3,1,2,4]=>[3,1,2,4]=>{{1,2,3},{4}}=>0
[3,1,4,2]=>[4,1,3,2]=>{{1,2,4},{3}}=>1
[3,2,1,4]=>[2,3,1,4]=>{{1,2,3},{4}}=>0
[3,2,4,1]=>[2,4,3,1]=>{{1,2,4},{3}}=>1
[3,4,1,2]=>[4,3,2,1]=>{{1,4},{2,3}}=>1
[3,4,2,1]=>[4,3,1,2]=>{{1,2,3,4}}=>0
[4,1,2,3]=>[4,1,2,3]=>{{1,2,3,4}}=>0
[4,1,3,2]=>[3,1,4,2]=>{{1,2,3,4}}=>0
[4,2,1,3]=>[2,4,1,3]=>{{1,2,3,4}}=>0
[4,2,3,1]=>[2,3,4,1]=>{{1,2,3,4}}=>0
[4,3,1,2]=>[3,4,2,1]=>{{1,2,3,4}}=>0
[4,3,2,1]=>[3,4,1,2]=>{{1,3},{2,4}}=>0
[1,2,3,4,5]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>0
[1,2,3,5,4]=>[1,2,3,5,4]=>{{1},{2},{3},{4,5}}=>0
[1,2,4,3,5]=>[1,2,4,3,5]=>{{1},{2},{3,4},{5}}=>0
[1,2,4,5,3]=>[1,2,5,4,3]=>{{1},{2},{3,5},{4}}=>1
[1,2,5,3,4]=>[1,2,5,3,4]=>{{1},{2},{3,4,5}}=>0
[1,2,5,4,3]=>[1,2,4,5,3]=>{{1},{2},{3,4,5}}=>0
[1,3,2,4,5]=>[1,3,2,4,5]=>{{1},{2,3},{4},{5}}=>0
[1,3,2,5,4]=>[1,3,2,5,4]=>{{1},{2,3},{4,5}}=>0
[1,3,4,2,5]=>[1,4,3,2,5]=>{{1},{2,4},{3},{5}}=>1
[1,3,4,5,2]=>[1,5,3,4,2]=>{{1},{2,5},{3},{4}}=>2
[1,3,5,2,4]=>[1,5,3,2,4]=>{{1},{2,4,5},{3}}=>2
[1,3,5,4,2]=>[1,4,3,5,2]=>{{1},{2,4,5},{3}}=>2
[1,4,2,3,5]=>[1,4,2,3,5]=>{{1},{2,3,4},{5}}=>0
[1,4,2,5,3]=>[1,5,2,4,3]=>{{1},{2,3,5},{4}}=>1
[1,4,3,2,5]=>[1,3,4,2,5]=>{{1},{2,3,4},{5}}=>0
[1,4,3,5,2]=>[1,3,5,4,2]=>{{1},{2,3,5},{4}}=>1
[1,4,5,2,3]=>[1,5,4,3,2]=>{{1},{2,5},{3,4}}=>1
[1,4,5,3,2]=>[1,5,4,2,3]=>{{1},{2,3,4,5}}=>0
[1,5,2,3,4]=>[1,5,2,3,4]=>{{1},{2,3,4,5}}=>0
[1,5,2,4,3]=>[1,4,2,5,3]=>{{1},{2,3,4,5}}=>0
[1,5,3,2,4]=>[1,3,5,2,4]=>{{1},{2,3,4,5}}=>0
[1,5,3,4,2]=>[1,3,4,5,2]=>{{1},{2,3,4,5}}=>0
[1,5,4,2,3]=>[1,4,5,3,2]=>{{1},{2,3,4,5}}=>0
[1,5,4,3,2]=>[1,4,5,2,3]=>{{1},{2,4},{3,5}}=>0
[2,1,3,4,5]=>[2,1,3,4,5]=>{{1,2},{3},{4},{5}}=>0
[2,1,3,5,4]=>[2,1,3,5,4]=>{{1,2},{3},{4,5}}=>0
[2,1,4,3,5]=>[2,1,4,3,5]=>{{1,2},{3,4},{5}}=>0
[2,1,4,5,3]=>[2,1,5,4,3]=>{{1,2},{3,5},{4}}=>1
[2,1,5,3,4]=>[2,1,5,3,4]=>{{1,2},{3,4,5}}=>0
[2,1,5,4,3]=>[2,1,4,5,3]=>{{1,2},{3,4,5}}=>0
[2,3,1,4,5]=>[3,2,1,4,5]=>{{1,3},{2},{4},{5}}=>1
[2,3,1,5,4]=>[3,2,1,5,4]=>{{1,3},{2},{4,5}}=>1
[2,3,4,1,5]=>[4,2,3,1,5]=>{{1,4},{2},{3},{5}}=>2
[2,3,4,5,1]=>[5,2,3,4,1]=>{{1,5},{2},{3},{4}}=>3
[2,3,5,1,4]=>[5,2,3,1,4]=>{{1,4,5},{2},{3}}=>4
[2,3,5,4,1]=>[4,2,3,5,1]=>{{1,4,5},{2},{3}}=>4
[2,4,1,3,5]=>[4,2,1,3,5]=>{{1,3,4},{2},{5}}=>2
[2,4,1,5,3]=>[5,2,1,4,3]=>{{1,3,5},{2},{4}}=>3
[2,4,3,1,5]=>[3,2,4,1,5]=>{{1,3,4},{2},{5}}=>2
[2,4,3,5,1]=>[3,2,5,4,1]=>{{1,3,5},{2},{4}}=>3
[2,4,5,1,3]=>[5,2,4,3,1]=>{{1,5},{2},{3,4}}=>2
[2,4,5,3,1]=>[5,2,4,1,3]=>{{1,3,4,5},{2}}=>3
[2,5,1,3,4]=>[5,2,1,3,4]=>{{1,3,4,5},{2}}=>3
[2,5,1,4,3]=>[4,2,1,5,3]=>{{1,3,4,5},{2}}=>3
[2,5,3,1,4]=>[3,2,5,1,4]=>{{1,3,4,5},{2}}=>3
[2,5,3,4,1]=>[3,2,4,5,1]=>{{1,3,4,5},{2}}=>3
[2,5,4,1,3]=>[4,2,5,3,1]=>{{1,3,4,5},{2}}=>3
[2,5,4,3,1]=>[4,2,5,1,3]=>{{1,4},{2},{3,5}}=>1
[3,1,2,4,5]=>[3,1,2,4,5]=>{{1,2,3},{4},{5}}=>0
[3,1,2,5,4]=>[3,1,2,5,4]=>{{1,2,3},{4,5}}=>0
[3,1,4,2,5]=>[4,1,3,2,5]=>{{1,2,4},{3},{5}}=>1
[3,1,4,5,2]=>[5,1,3,4,2]=>{{1,2,5},{3},{4}}=>2
[3,1,5,2,4]=>[5,1,3,2,4]=>{{1,2,4,5},{3}}=>2
[3,1,5,4,2]=>[4,1,3,5,2]=>{{1,2,4,5},{3}}=>2
[3,2,1,4,5]=>[2,3,1,4,5]=>{{1,2,3},{4},{5}}=>0
[3,2,1,5,4]=>[2,3,1,5,4]=>{{1,2,3},{4,5}}=>0
[3,2,4,1,5]=>[2,4,3,1,5]=>{{1,2,4},{3},{5}}=>1
[3,2,4,5,1]=>[2,5,3,4,1]=>{{1,2,5},{3},{4}}=>2
[3,2,5,1,4]=>[2,5,3,1,4]=>{{1,2,4,5},{3}}=>2
[3,2,5,4,1]=>[2,4,3,5,1]=>{{1,2,4,5},{3}}=>2
[3,4,1,2,5]=>[4,3,2,1,5]=>{{1,4},{2,3},{5}}=>1
[3,4,1,5,2]=>[5,3,2,4,1]=>{{1,5},{2,3},{4}}=>2
[3,4,2,1,5]=>[4,3,1,2,5]=>{{1,2,3,4},{5}}=>0
[3,4,2,5,1]=>[5,3,1,4,2]=>{{1,2,3,5},{4}}=>1
[3,4,5,1,2]=>[5,4,3,2,1]=>{{1,5},{2,4},{3}}=>3
[3,4,5,2,1]=>[5,4,3,1,2]=>{{1,2,4,5},{3}}=>2
[3,5,1,2,4]=>[5,3,2,1,4]=>{{1,4,5},{2,3}}=>2
[3,5,1,4,2]=>[4,3,2,5,1]=>{{1,4,5},{2,3}}=>2
[3,5,2,1,4]=>[5,3,1,2,4]=>{{1,2,3,4,5}}=>0
[3,5,2,4,1]=>[4,3,1,5,2]=>{{1,2,3,4,5}}=>0
[3,5,4,1,2]=>[5,3,4,2,1]=>{{1,5},{2,3,4}}=>1
[3,5,4,2,1]=>[5,3,4,1,2]=>{{1,2,3,4,5}}=>0
[4,1,2,3,5]=>[4,1,2,3,5]=>{{1,2,3,4},{5}}=>0
[4,1,2,5,3]=>[5,1,2,4,3]=>{{1,2,3,5},{4}}=>1
[4,1,3,2,5]=>[3,1,4,2,5]=>{{1,2,3,4},{5}}=>0
[4,1,3,5,2]=>[3,1,5,4,2]=>{{1,2,3,5},{4}}=>1
[4,1,5,2,3]=>[5,1,4,3,2]=>{{1,2,5},{3,4}}=>1
[4,1,5,3,2]=>[5,1,4,2,3]=>{{1,2,3,4,5}}=>0
[4,2,1,3,5]=>[2,4,1,3,5]=>{{1,2,3,4},{5}}=>0
[4,2,1,5,3]=>[2,5,1,4,3]=>{{1,2,3,5},{4}}=>1
[4,2,3,1,5]=>[2,3,4,1,5]=>{{1,2,3,4},{5}}=>0
[4,2,3,5,1]=>[2,3,5,4,1]=>{{1,2,3,5},{4}}=>1
[4,2,5,1,3]=>[2,5,4,3,1]=>{{1,2,5},{3,4}}=>1
[4,2,5,3,1]=>[2,5,4,1,3]=>{{1,2,3,4,5}}=>0
[4,3,1,2,5]=>[3,4,2,1,5]=>{{1,2,3,4},{5}}=>0
[4,3,1,5,2]=>[3,5,2,4,1]=>{{1,2,3,5},{4}}=>1
[4,3,2,1,5]=>[3,4,1,2,5]=>{{1,3},{2,4},{5}}=>0
[4,3,2,5,1]=>[3,5,1,4,2]=>{{1,3},{2,5},{4}}=>1
[4,3,5,1,2]=>[4,5,3,2,1]=>{{1,2,4,5},{3}}=>2
[4,3,5,2,1]=>[4,5,3,1,2]=>{{1,4},{2,5},{3}}=>2
[4,5,1,2,3]=>[5,4,2,3,1]=>{{1,5},{2,3,4}}=>1
[4,5,1,3,2]=>[5,4,2,1,3]=>{{1,2,3,4,5}}=>0
[4,5,2,1,3]=>[5,4,1,3,2]=>{{1,2,3,4,5}}=>0
[4,5,2,3,1]=>[5,4,1,2,3]=>{{1,3,5},{2,4}}=>1
[4,5,3,1,2]=>[4,3,5,2,1]=>{{1,2,3,4,5}}=>0
[4,5,3,2,1]=>[4,3,5,1,2]=>{{1,4},{2,3,5}}=>0
[5,1,2,3,4]=>[5,1,2,3,4]=>{{1,2,3,4,5}}=>0
[5,1,2,4,3]=>[4,1,2,5,3]=>{{1,2,3,4,5}}=>0
[5,1,3,2,4]=>[3,1,5,2,4]=>{{1,2,3,4,5}}=>0
[5,1,3,4,2]=>[3,1,4,5,2]=>{{1,2,3,4,5}}=>0
[5,1,4,2,3]=>[4,1,5,3,2]=>{{1,2,3,4,5}}=>0
[5,1,4,3,2]=>[4,1,5,2,3]=>{{1,2,4},{3,5}}=>0
[5,2,1,3,4]=>[2,5,1,3,4]=>{{1,2,3,4,5}}=>0
[5,2,1,4,3]=>[2,4,1,5,3]=>{{1,2,3,4,5}}=>0
[5,2,3,1,4]=>[2,3,5,1,4]=>{{1,2,3,4,5}}=>0
[5,2,3,4,1]=>[2,3,4,5,1]=>{{1,2,3,4,5}}=>0
[5,2,4,1,3]=>[2,4,5,3,1]=>{{1,2,3,4,5}}=>0
[5,2,4,3,1]=>[2,4,5,1,3]=>{{1,2,4},{3,5}}=>0
[5,3,1,2,4]=>[3,5,2,1,4]=>{{1,2,3,4,5}}=>0
[5,3,1,4,2]=>[3,4,2,5,1]=>{{1,2,3,4,5}}=>0
[5,3,2,1,4]=>[3,5,1,2,4]=>{{1,3},{2,4,5}}=>0
[5,3,2,4,1]=>[3,4,1,5,2]=>{{1,3},{2,4,5}}=>0
[5,3,4,1,2]=>[3,5,4,2,1]=>{{1,2,3,4,5}}=>0
[5,3,4,2,1]=>[3,5,4,1,2]=>{{1,3,4},{2,5}}=>0
[5,4,1,2,3]=>[4,5,2,3,1]=>{{1,2,3,4,5}}=>0
[5,4,1,3,2]=>[4,5,2,1,3]=>{{1,4},{2,3,5}}=>0
[5,4,2,1,3]=>[4,5,1,3,2]=>{{1,3,4},{2,5}}=>0
[5,4,2,3,1]=>[4,5,1,2,3]=>{{1,2,3,4,5}}=>0
[5,4,3,1,2]=>[3,4,5,2,1]=>{{1,3,5},{2,4}}=>1
[5,4,3,2,1]=>[3,4,5,1,2]=>{{1,2,3,4,5}}=>0
[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>0
[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>{{1},{2},{3},{4},{5,6}}=>0
[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>{{1},{2},{3},{4,5},{6}}=>0
[1,2,3,5,6,4]=>[1,2,3,6,5,4]=>{{1},{2},{3},{4,6},{5}}=>1
[1,2,3,6,4,5]=>[1,2,3,6,4,5]=>{{1},{2},{3},{4,5,6}}=>0
[1,2,3,6,5,4]=>[1,2,3,5,6,4]=>{{1},{2},{3},{4,5,6}}=>0
[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>{{1},{2},{3,4},{5},{6}}=>0
[1,2,4,3,6,5]=>[1,2,4,3,6,5]=>{{1},{2},{3,4},{5,6}}=>0
[1,2,4,5,3,6]=>[1,2,5,4,3,6]=>{{1},{2},{3,5},{4},{6}}=>1
[1,2,4,5,6,3]=>[1,2,6,4,5,3]=>{{1},{2},{3,6},{4},{5}}=>2
[1,2,4,6,3,5]=>[1,2,6,4,3,5]=>{{1},{2},{3,5,6},{4}}=>2
[1,2,4,6,5,3]=>[1,2,5,4,6,3]=>{{1},{2},{3,5,6},{4}}=>2
[1,2,5,3,4,6]=>[1,2,5,3,4,6]=>{{1},{2},{3,4,5},{6}}=>0
[1,2,5,3,6,4]=>[1,2,6,3,5,4]=>{{1},{2},{3,4,6},{5}}=>1
[1,2,5,4,3,6]=>[1,2,4,5,3,6]=>{{1},{2},{3,4,5},{6}}=>0
[1,2,5,4,6,3]=>[1,2,4,6,5,3]=>{{1},{2},{3,4,6},{5}}=>1
[1,2,5,6,3,4]=>[1,2,6,5,4,3]=>{{1},{2},{3,6},{4,5}}=>1
[1,2,5,6,4,3]=>[1,2,6,5,3,4]=>{{1},{2},{3,4,5,6}}=>0
[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>{{1},{2},{3,4,5,6}}=>0
[1,2,6,3,5,4]=>[1,2,5,3,6,4]=>{{1},{2},{3,4,5,6}}=>0
[1,2,6,4,3,5]=>[1,2,4,6,3,5]=>{{1},{2},{3,4,5,6}}=>0
[1,2,6,4,5,3]=>[1,2,4,5,6,3]=>{{1},{2},{3,4,5,6}}=>0
[1,2,6,5,3,4]=>[1,2,5,6,4,3]=>{{1},{2},{3,4,5,6}}=>0
[1,2,6,5,4,3]=>[1,2,5,6,3,4]=>{{1},{2},{3,5},{4,6}}=>0
[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>{{1},{2,3},{4},{5},{6}}=>0
[1,3,2,4,6,5]=>[1,3,2,4,6,5]=>{{1},{2,3},{4},{5,6}}=>0
[1,3,2,5,4,6]=>[1,3,2,5,4,6]=>{{1},{2,3},{4,5},{6}}=>0
[1,3,2,5,6,4]=>[1,3,2,6,5,4]=>{{1},{2,3},{4,6},{5}}=>1
[1,3,2,6,4,5]=>[1,3,2,6,4,5]=>{{1},{2,3},{4,5,6}}=>0
[1,3,2,6,5,4]=>[1,3,2,5,6,4]=>{{1},{2,3},{4,5,6}}=>0
[1,3,4,2,5,6]=>[1,4,3,2,5,6]=>{{1},{2,4},{3},{5},{6}}=>1
[1,3,4,2,6,5]=>[1,4,3,2,6,5]=>{{1},{2,4},{3},{5,6}}=>1
[1,3,4,5,2,6]=>[1,5,3,4,2,6]=>{{1},{2,5},{3},{4},{6}}=>2
[1,3,4,5,6,2]=>[1,6,3,4,5,2]=>{{1},{2,6},{3},{4},{5}}=>3
[1,3,4,6,2,5]=>[1,6,3,4,2,5]=>{{1},{2,5,6},{3},{4}}=>4
[1,3,4,6,5,2]=>[1,5,3,4,6,2]=>{{1},{2,5,6},{3},{4}}=>4
[1,3,5,2,4,6]=>[1,5,3,2,4,6]=>{{1},{2,4,5},{3},{6}}=>2
[1,3,5,2,6,4]=>[1,6,3,2,5,4]=>{{1},{2,4,6},{3},{5}}=>3
[1,3,5,4,2,6]=>[1,4,3,5,2,6]=>{{1},{2,4,5},{3},{6}}=>2
[1,3,5,4,6,2]=>[1,4,3,6,5,2]=>{{1},{2,4,6},{3},{5}}=>3
[1,3,5,6,2,4]=>[1,6,3,5,4,2]=>{{1},{2,6},{3},{4,5}}=>2
[1,3,5,6,4,2]=>[1,6,3,5,2,4]=>{{1},{2,4,5,6},{3}}=>3
[1,3,6,2,4,5]=>[1,6,3,2,4,5]=>{{1},{2,4,5,6},{3}}=>3
[1,3,6,2,5,4]=>[1,5,3,2,6,4]=>{{1},{2,4,5,6},{3}}=>3
[1,3,6,4,2,5]=>[1,4,3,6,2,5]=>{{1},{2,4,5,6},{3}}=>3
[1,3,6,4,5,2]=>[1,4,3,5,6,2]=>{{1},{2,4,5,6},{3}}=>3
[1,3,6,5,2,4]=>[1,5,3,6,4,2]=>{{1},{2,4,5,6},{3}}=>3
[1,3,6,5,4,2]=>[1,5,3,6,2,4]=>{{1},{2,5},{3},{4,6}}=>1
[1,4,2,3,5,6]=>[1,4,2,3,5,6]=>{{1},{2,3,4},{5},{6}}=>0
[1,4,2,3,6,5]=>[1,4,2,3,6,5]=>{{1},{2,3,4},{5,6}}=>0
[1,4,2,5,3,6]=>[1,5,2,4,3,6]=>{{1},{2,3,5},{4},{6}}=>1
[1,4,2,5,6,3]=>[1,6,2,4,5,3]=>{{1},{2,3,6},{4},{5}}=>2
[1,4,2,6,3,5]=>[1,6,2,4,3,5]=>{{1},{2,3,5,6},{4}}=>2
[1,4,2,6,5,3]=>[1,5,2,4,6,3]=>{{1},{2,3,5,6},{4}}=>2
[1,4,3,2,5,6]=>[1,3,4,2,5,6]=>{{1},{2,3,4},{5},{6}}=>0
[1,4,3,2,6,5]=>[1,3,4,2,6,5]=>{{1},{2,3,4},{5,6}}=>0
[1,4,3,5,2,6]=>[1,3,5,4,2,6]=>{{1},{2,3,5},{4},{6}}=>1
[1,4,3,5,6,2]=>[1,3,6,4,5,2]=>{{1},{2,3,6},{4},{5}}=>2
[1,4,3,6,2,5]=>[1,3,6,4,2,5]=>{{1},{2,3,5,6},{4}}=>2
[1,4,3,6,5,2]=>[1,3,5,4,6,2]=>{{1},{2,3,5,6},{4}}=>2
[1,4,5,2,3,6]=>[1,5,4,3,2,6]=>{{1},{2,5},{3,4},{6}}=>1
[1,4,5,2,6,3]=>[1,6,4,3,5,2]=>{{1},{2,6},{3,4},{5}}=>2
[1,4,5,3,2,6]=>[1,5,4,2,3,6]=>{{1},{2,3,4,5},{6}}=>0
[1,4,5,3,6,2]=>[1,6,4,2,5,3]=>{{1},{2,3,4,6},{5}}=>1
[1,4,5,6,2,3]=>[1,6,5,4,3,2]=>{{1},{2,6},{3,5},{4}}=>3
[1,4,5,6,3,2]=>[1,6,5,4,2,3]=>{{1},{2,3,5,6},{4}}=>2
[1,4,6,2,3,5]=>[1,6,4,3,2,5]=>{{1},{2,5,6},{3,4}}=>2
[1,4,6,2,5,3]=>[1,5,4,3,6,2]=>{{1},{2,5,6},{3,4}}=>2
[1,4,6,3,2,5]=>[1,6,4,2,3,5]=>{{1},{2,3,4,5,6}}=>0
[1,4,6,3,5,2]=>[1,5,4,2,6,3]=>{{1},{2,3,4,5,6}}=>0
[1,4,6,5,2,3]=>[1,6,4,5,3,2]=>{{1},{2,6},{3,4,5}}=>1
[1,4,6,5,3,2]=>[1,6,4,5,2,3]=>{{1},{2,3,4,5,6}}=>0
[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>{{1},{2,3,4,5},{6}}=>0
[1,5,2,3,6,4]=>[1,6,2,3,5,4]=>{{1},{2,3,4,6},{5}}=>1
[1,5,2,4,3,6]=>[1,4,2,5,3,6]=>{{1},{2,3,4,5},{6}}=>0
[1,5,2,4,6,3]=>[1,4,2,6,5,3]=>{{1},{2,3,4,6},{5}}=>1
[1,5,2,6,3,4]=>[1,6,2,5,4,3]=>{{1},{2,3,6},{4,5}}=>1
[1,5,2,6,4,3]=>[1,6,2,5,3,4]=>{{1},{2,3,4,5,6}}=>0
[1,5,3,2,4,6]=>[1,3,5,2,4,6]=>{{1},{2,3,4,5},{6}}=>0
[1,5,3,2,6,4]=>[1,3,6,2,5,4]=>{{1},{2,3,4,6},{5}}=>1
[1,5,3,4,2,6]=>[1,3,4,5,2,6]=>{{1},{2,3,4,5},{6}}=>0
[1,5,3,4,6,2]=>[1,3,4,6,5,2]=>{{1},{2,3,4,6},{5}}=>1
[1,5,3,6,2,4]=>[1,3,6,5,4,2]=>{{1},{2,3,6},{4,5}}=>1
[1,5,3,6,4,2]=>[1,3,6,5,2,4]=>{{1},{2,3,4,5,6}}=>0
[1,5,4,2,3,6]=>[1,4,5,3,2,6]=>{{1},{2,3,4,5},{6}}=>0
[1,5,4,2,6,3]=>[1,4,6,3,5,2]=>{{1},{2,3,4,6},{5}}=>1
[1,5,4,3,2,6]=>[1,4,5,2,3,6]=>{{1},{2,4},{3,5},{6}}=>0
[1,5,4,3,6,2]=>[1,4,6,2,5,3]=>{{1},{2,4},{3,6},{5}}=>1
[1,5,4,6,2,3]=>[1,5,6,4,3,2]=>{{1},{2,3,5,6},{4}}=>2
[1,5,4,6,3,2]=>[1,5,6,4,2,3]=>{{1},{2,5},{3,6},{4}}=>2
[1,5,6,2,3,4]=>[1,6,5,3,4,2]=>{{1},{2,6},{3,4,5}}=>1
[1,5,6,2,4,3]=>[1,6,5,3,2,4]=>{{1},{2,3,4,5,6}}=>0
[1,5,6,3,2,4]=>[1,6,5,2,4,3]=>{{1},{2,3,4,5,6}}=>0
[1,5,6,3,4,2]=>[1,6,5,2,3,4]=>{{1},{2,4,6},{3,5}}=>1
[1,5,6,4,2,3]=>[1,5,4,6,3,2]=>{{1},{2,3,4,5,6}}=>0
[1,5,6,4,3,2]=>[1,5,4,6,2,3]=>{{1},{2,5},{3,4,6}}=>0
[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>{{1},{2,3,4,5,6}}=>0
[1,6,2,3,5,4]=>[1,5,2,3,6,4]=>{{1},{2,3,4,5,6}}=>0
[1,6,2,4,3,5]=>[1,4,2,6,3,5]=>{{1},{2,3,4,5,6}}=>0
[1,6,2,4,5,3]=>[1,4,2,5,6,3]=>{{1},{2,3,4,5,6}}=>0
[1,6,2,5,3,4]=>[1,5,2,6,4,3]=>{{1},{2,3,4,5,6}}=>0
[1,6,2,5,4,3]=>[1,5,2,6,3,4]=>{{1},{2,3,5},{4,6}}=>0
[1,6,3,2,4,5]=>[1,3,6,2,4,5]=>{{1},{2,3,4,5,6}}=>0
[1,6,3,2,5,4]=>[1,3,5,2,6,4]=>{{1},{2,3,4,5,6}}=>0
[1,6,3,4,2,5]=>[1,3,4,6,2,5]=>{{1},{2,3,4,5,6}}=>0
[1,6,3,4,5,2]=>[1,3,4,5,6,2]=>{{1},{2,3,4,5,6}}=>0
[1,6,3,5,2,4]=>[1,3,5,6,4,2]=>{{1},{2,3,4,5,6}}=>0
[1,6,3,5,4,2]=>[1,3,5,6,2,4]=>{{1},{2,3,5},{4,6}}=>0
[1,6,4,2,3,5]=>[1,4,6,3,2,5]=>{{1},{2,3,4,5,6}}=>0
[1,6,4,2,5,3]=>[1,4,5,3,6,2]=>{{1},{2,3,4,5,6}}=>0
[1,6,4,3,2,5]=>[1,4,6,2,3,5]=>{{1},{2,4},{3,5,6}}=>0
[1,6,4,3,5,2]=>[1,4,5,2,6,3]=>{{1},{2,4},{3,5,6}}=>0
[1,6,4,5,2,3]=>[1,4,6,5,3,2]=>{{1},{2,3,4,5,6}}=>0
[1,6,4,5,3,2]=>[1,4,6,5,2,3]=>{{1},{2,4,5},{3,6}}=>0
[1,6,5,2,3,4]=>[1,5,6,3,4,2]=>{{1},{2,3,4,5,6}}=>0
[1,6,5,2,4,3]=>[1,5,6,3,2,4]=>{{1},{2,5},{3,4,6}}=>0
[1,6,5,3,2,4]=>[1,5,6,2,4,3]=>{{1},{2,4,5},{3,6}}=>0
[1,6,5,3,4,2]=>[1,5,6,2,3,4]=>{{1},{2,3,4,5,6}}=>0
[1,6,5,4,2,3]=>[1,4,5,6,3,2]=>{{1},{2,4,6},{3,5}}=>1
[1,6,5,4,3,2]=>[1,4,5,6,2,3]=>{{1},{2,3,4,5,6}}=>0
[2,1,3,4,5,6]=>[2,1,3,4,5,6]=>{{1,2},{3},{4},{5},{6}}=>0
[2,1,3,4,6,5]=>[2,1,3,4,6,5]=>{{1,2},{3},{4},{5,6}}=>0
[2,1,3,5,4,6]=>[2,1,3,5,4,6]=>{{1,2},{3},{4,5},{6}}=>0
[2,1,3,5,6,4]=>[2,1,3,6,5,4]=>{{1,2},{3},{4,6},{5}}=>1
[2,1,3,6,4,5]=>[2,1,3,6,4,5]=>{{1,2},{3},{4,5,6}}=>0
[2,1,3,6,5,4]=>[2,1,3,5,6,4]=>{{1,2},{3},{4,5,6}}=>0
[2,1,4,3,5,6]=>[2,1,4,3,5,6]=>{{1,2},{3,4},{5},{6}}=>0
[2,1,4,3,6,5]=>[2,1,4,3,6,5]=>{{1,2},{3,4},{5,6}}=>0
[2,1,4,5,3,6]=>[2,1,5,4,3,6]=>{{1,2},{3,5},{4},{6}}=>1
[2,1,4,5,6,3]=>[2,1,6,4,5,3]=>{{1,2},{3,6},{4},{5}}=>2
[2,1,4,6,3,5]=>[2,1,6,4,3,5]=>{{1,2},{3,5,6},{4}}=>2
[2,1,4,6,5,3]=>[2,1,5,4,6,3]=>{{1,2},{3,5,6},{4}}=>2
[2,1,5,3,4,6]=>[2,1,5,3,4,6]=>{{1,2},{3,4,5},{6}}=>0
[2,1,5,3,6,4]=>[2,1,6,3,5,4]=>{{1,2},{3,4,6},{5}}=>1
[2,1,5,4,3,6]=>[2,1,4,5,3,6]=>{{1,2},{3,4,5},{6}}=>0
[2,1,5,4,6,3]=>[2,1,4,6,5,3]=>{{1,2},{3,4,6},{5}}=>1
[2,1,5,6,3,4]=>[2,1,6,5,4,3]=>{{1,2},{3,6},{4,5}}=>1
[2,1,5,6,4,3]=>[2,1,6,5,3,4]=>{{1,2},{3,4,5,6}}=>0
[2,1,6,3,4,5]=>[2,1,6,3,4,5]=>{{1,2},{3,4,5,6}}=>0
[2,1,6,3,5,4]=>[2,1,5,3,6,4]=>{{1,2},{3,4,5,6}}=>0
[2,1,6,4,3,5]=>[2,1,4,6,3,5]=>{{1,2},{3,4,5,6}}=>0
[2,1,6,4,5,3]=>[2,1,4,5,6,3]=>{{1,2},{3,4,5,6}}=>0
[2,1,6,5,3,4]=>[2,1,5,6,4,3]=>{{1,2},{3,4,5,6}}=>0
[2,1,6,5,4,3]=>[2,1,5,6,3,4]=>{{1,2},{3,5},{4,6}}=>0
[2,3,1,4,5,6]=>[3,2,1,4,5,6]=>{{1,3},{2},{4},{5},{6}}=>1
[2,3,1,4,6,5]=>[3,2,1,4,6,5]=>{{1,3},{2},{4},{5,6}}=>1
[2,3,1,5,4,6]=>[3,2,1,5,4,6]=>{{1,3},{2},{4,5},{6}}=>1
[2,3,1,5,6,4]=>[3,2,1,6,5,4]=>{{1,3},{2},{4,6},{5}}=>2
[2,3,1,6,4,5]=>[3,2,1,6,4,5]=>{{1,3},{2},{4,5,6}}=>1
[2,3,1,6,5,4]=>[3,2,1,5,6,4]=>{{1,3},{2},{4,5,6}}=>1
[2,3,4,1,5,6]=>[4,2,3,1,5,6]=>{{1,4},{2},{3},{5},{6}}=>2
[2,3,4,1,6,5]=>[4,2,3,1,6,5]=>{{1,4},{2},{3},{5,6}}=>2
[2,3,4,5,1,6]=>[5,2,3,4,1,6]=>{{1,5},{2},{3},{4},{6}}=>3
[2,3,4,5,6,1]=>[6,2,3,4,5,1]=>{{1,6},{2},{3},{4},{5}}=>4
[2,3,4,6,1,5]=>[6,2,3,4,1,5]=>{{1,5,6},{2},{3},{4}}=>6
[2,3,4,6,5,1]=>[5,2,3,4,6,1]=>{{1,5,6},{2},{3},{4}}=>6
[2,3,5,1,4,6]=>[5,2,3,1,4,6]=>{{1,4,5},{2},{3},{6}}=>4
[2,3,5,1,6,4]=>[6,2,3,1,5,4]=>{{1,4,6},{2},{3},{5}}=>5
[2,3,5,4,1,6]=>[4,2,3,5,1,6]=>{{1,4,5},{2},{3},{6}}=>4
[2,3,5,4,6,1]=>[4,2,3,6,5,1]=>{{1,4,6},{2},{3},{5}}=>5
[2,3,5,6,1,4]=>[6,2,3,5,4,1]=>{{1,6},{2},{3},{4,5}}=>3
[2,3,5,6,4,1]=>[6,2,3,5,1,4]=>{{1,4,5,6},{2},{3}}=>6
[2,3,6,1,4,5]=>[6,2,3,1,4,5]=>{{1,4,5,6},{2},{3}}=>6
[2,3,6,1,5,4]=>[5,2,3,1,6,4]=>{{1,4,5,6},{2},{3}}=>6
[2,3,6,4,1,5]=>[4,2,3,6,1,5]=>{{1,4,5,6},{2},{3}}=>6
[2,3,6,4,5,1]=>[4,2,3,5,6,1]=>{{1,4,5,6},{2},{3}}=>6
[2,3,6,5,1,4]=>[5,2,3,6,4,1]=>{{1,4,5,6},{2},{3}}=>6
[2,3,6,5,4,1]=>[5,2,3,6,1,4]=>{{1,5},{2},{3},{4,6}}=>2
[2,4,1,3,5,6]=>[4,2,1,3,5,6]=>{{1,3,4},{2},{5},{6}}=>2
[2,4,1,3,6,5]=>[4,2,1,3,6,5]=>{{1,3,4},{2},{5,6}}=>2
[2,4,1,5,3,6]=>[5,2,1,4,3,6]=>{{1,3,5},{2},{4},{6}}=>3
[2,4,1,5,6,3]=>[6,2,1,4,5,3]=>{{1,3,6},{2},{4},{5}}=>4
[2,4,1,6,3,5]=>[6,2,1,4,3,5]=>{{1,3,5,6},{2},{4}}=>5
[2,4,1,6,5,3]=>[5,2,1,4,6,3]=>{{1,3,5,6},{2},{4}}=>5
[2,4,3,1,5,6]=>[3,2,4,1,5,6]=>{{1,3,4},{2},{5},{6}}=>2
[2,4,3,1,6,5]=>[3,2,4,1,6,5]=>{{1,3,4},{2},{5,6}}=>2
[2,4,3,5,1,6]=>[3,2,5,4,1,6]=>{{1,3,5},{2},{4},{6}}=>3
[2,4,3,5,6,1]=>[3,2,6,4,5,1]=>{{1,3,6},{2},{4},{5}}=>4
[2,4,3,6,1,5]=>[3,2,6,4,1,5]=>{{1,3,5,6},{2},{4}}=>5
[2,4,3,6,5,1]=>[3,2,5,4,6,1]=>{{1,3,5,6},{2},{4}}=>5
[2,4,5,1,3,6]=>[5,2,4,3,1,6]=>{{1,5},{2},{3,4},{6}}=>2
[2,4,5,1,6,3]=>[6,2,4,3,5,1]=>{{1,6},{2},{3,4},{5}}=>3
[2,4,5,3,1,6]=>[5,2,4,1,3,6]=>{{1,3,4,5},{2},{6}}=>3
[2,4,5,3,6,1]=>[6,2,4,1,5,3]=>{{1,3,4,6},{2},{5}}=>4
[2,4,5,6,1,3]=>[6,2,5,4,3,1]=>{{1,6},{2},{3,5},{4}}=>4
[2,4,5,6,3,1]=>[6,2,5,4,1,3]=>{{1,3,5,6},{2},{4}}=>5
[2,4,6,1,3,5]=>[6,2,4,3,1,5]=>{{1,5,6},{2},{3,4}}=>4
[2,4,6,1,5,3]=>[5,2,4,3,6,1]=>{{1,5,6},{2},{3,4}}=>4
[2,4,6,3,1,5]=>[6,2,4,1,3,5]=>{{1,3,4,5,6},{2}}=>4
[2,4,6,3,5,1]=>[5,2,4,1,6,3]=>{{1,3,4,5,6},{2}}=>4
[2,4,6,5,1,3]=>[6,2,4,5,3,1]=>{{1,6},{2},{3,4,5}}=>2
[2,4,6,5,3,1]=>[6,2,4,5,1,3]=>{{1,3,4,5,6},{2}}=>4
[2,5,1,3,4,6]=>[5,2,1,3,4,6]=>{{1,3,4,5},{2},{6}}=>3
[2,5,1,3,6,4]=>[6,2,1,3,5,4]=>{{1,3,4,6},{2},{5}}=>4
[2,5,1,4,3,6]=>[4,2,1,5,3,6]=>{{1,3,4,5},{2},{6}}=>3
[2,5,1,4,6,3]=>[4,2,1,6,5,3]=>{{1,3,4,6},{2},{5}}=>4
[2,5,1,6,3,4]=>[6,2,1,5,4,3]=>{{1,3,6},{2},{4,5}}=>3
[2,5,1,6,4,3]=>[6,2,1,5,3,4]=>{{1,3,4,5,6},{2}}=>4
[2,5,3,1,4,6]=>[3,2,5,1,4,6]=>{{1,3,4,5},{2},{6}}=>3
[2,5,3,1,6,4]=>[3,2,6,1,5,4]=>{{1,3,4,6},{2},{5}}=>4
[2,5,3,4,1,6]=>[3,2,4,5,1,6]=>{{1,3,4,5},{2},{6}}=>3
[2,5,3,4,6,1]=>[3,2,4,6,5,1]=>{{1,3,4,6},{2},{5}}=>4
[2,5,3,6,1,4]=>[3,2,6,5,4,1]=>{{1,3,6},{2},{4,5}}=>3
[2,5,3,6,4,1]=>[3,2,6,5,1,4]=>{{1,3,4,5,6},{2}}=>4
[2,5,4,1,3,6]=>[4,2,5,3,1,6]=>{{1,3,4,5},{2},{6}}=>3
[2,5,4,1,6,3]=>[4,2,6,3,5,1]=>{{1,3,4,6},{2},{5}}=>4
[2,5,4,3,1,6]=>[4,2,5,1,3,6]=>{{1,4},{2},{3,5},{6}}=>1
[2,5,4,3,6,1]=>[4,2,6,1,5,3]=>{{1,4},{2},{3,6},{5}}=>2
[2,5,4,6,1,3]=>[5,2,6,4,3,1]=>{{1,3,5,6},{2},{4}}=>5
[2,5,4,6,3,1]=>[5,2,6,4,1,3]=>{{1,5},{2},{3,6},{4}}=>3
[2,5,6,1,3,4]=>[6,2,5,3,4,1]=>{{1,6},{2},{3,4,5}}=>2
[2,5,6,1,4,3]=>[6,2,5,3,1,4]=>{{1,3,4,5,6},{2}}=>4
[2,5,6,3,1,4]=>[6,2,5,1,4,3]=>{{1,3,4,5,6},{2}}=>4
[2,5,6,3,4,1]=>[6,2,5,1,3,4]=>{{1,4,6},{2},{3,5}}=>3
[2,5,6,4,1,3]=>[5,2,4,6,3,1]=>{{1,3,4,5,6},{2}}=>4
[2,5,6,4,3,1]=>[5,2,4,6,1,3]=>{{1,5},{2},{3,4,6}}=>1
[2,6,1,3,4,5]=>[6,2,1,3,4,5]=>{{1,3,4,5,6},{2}}=>4
[2,6,1,3,5,4]=>[5,2,1,3,6,4]=>{{1,3,4,5,6},{2}}=>4
[2,6,1,4,3,5]=>[4,2,1,6,3,5]=>{{1,3,4,5,6},{2}}=>4
[2,6,1,4,5,3]=>[4,2,1,5,6,3]=>{{1,3,4,5,6},{2}}=>4
[2,6,1,5,3,4]=>[5,2,1,6,4,3]=>{{1,3,4,5,6},{2}}=>4
[2,6,1,5,4,3]=>[5,2,1,6,3,4]=>{{1,3,5},{2},{4,6}}=>2
[2,6,3,1,4,5]=>[3,2,6,1,4,5]=>{{1,3,4,5,6},{2}}=>4
[2,6,3,1,5,4]=>[3,2,5,1,6,4]=>{{1,3,4,5,6},{2}}=>4
[2,6,3,4,1,5]=>[3,2,4,6,1,5]=>{{1,3,4,5,6},{2}}=>4
[2,6,3,4,5,1]=>[3,2,4,5,6,1]=>{{1,3,4,5,6},{2}}=>4
[2,6,3,5,1,4]=>[3,2,5,6,4,1]=>{{1,3,4,5,6},{2}}=>4
[2,6,3,5,4,1]=>[3,2,5,6,1,4]=>{{1,3,5},{2},{4,6}}=>2
[2,6,4,1,3,5]=>[4,2,6,3,1,5]=>{{1,3,4,5,6},{2}}=>4
[2,6,4,1,5,3]=>[4,2,5,3,6,1]=>{{1,3,4,5,6},{2}}=>4
[2,6,4,3,1,5]=>[4,2,6,1,3,5]=>{{1,4},{2},{3,5,6}}=>1
[2,6,4,3,5,1]=>[4,2,5,1,6,3]=>{{1,4},{2},{3,5,6}}=>1
[2,6,4,5,1,3]=>[4,2,6,5,3,1]=>{{1,3,4,5,6},{2}}=>4
[2,6,4,5,3,1]=>[4,2,6,5,1,3]=>{{1,4,5},{2},{3,6}}=>2
[2,6,5,1,3,4]=>[5,2,6,3,4,1]=>{{1,3,4,5,6},{2}}=>4
[2,6,5,1,4,3]=>[5,2,6,3,1,4]=>{{1,5},{2},{3,4,6}}=>1
[2,6,5,3,1,4]=>[5,2,6,1,4,3]=>{{1,4,5},{2},{3,6}}=>2
[2,6,5,3,4,1]=>[5,2,6,1,3,4]=>{{1,3,4,5,6},{2}}=>4
[2,6,5,4,1,3]=>[4,2,5,6,3,1]=>{{1,4,6},{2},{3,5}}=>3
[2,6,5,4,3,1]=>[4,2,5,6,1,3]=>{{1,3,4,5,6},{2}}=>4
[3,1,2,4,5,6]=>[3,1,2,4,5,6]=>{{1,2,3},{4},{5},{6}}=>0
[3,1,2,4,6,5]=>[3,1,2,4,6,5]=>{{1,2,3},{4},{5,6}}=>0
[3,1,2,5,4,6]=>[3,1,2,5,4,6]=>{{1,2,3},{4,5},{6}}=>0
[3,1,2,5,6,4]=>[3,1,2,6,5,4]=>{{1,2,3},{4,6},{5}}=>1
[3,1,2,6,4,5]=>[3,1,2,6,4,5]=>{{1,2,3},{4,5,6}}=>0
[3,1,2,6,5,4]=>[3,1,2,5,6,4]=>{{1,2,3},{4,5,6}}=>0
[3,1,4,2,5,6]=>[4,1,3,2,5,6]=>{{1,2,4},{3},{5},{6}}=>1
[3,1,4,2,6,5]=>[4,1,3,2,6,5]=>{{1,2,4},{3},{5,6}}=>1
[3,1,4,5,2,6]=>[5,1,3,4,2,6]=>{{1,2,5},{3},{4},{6}}=>2
[3,1,4,5,6,2]=>[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}}=>3
[3,1,4,6,2,5]=>[6,1,3,4,2,5]=>{{1,2,5,6},{3},{4}}=>4
[3,1,4,6,5,2]=>[5,1,3,4,6,2]=>{{1,2,5,6},{3},{4}}=>4
[3,1,5,2,4,6]=>[5,1,3,2,4,6]=>{{1,2,4,5},{3},{6}}=>2
[3,1,5,2,6,4]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}}=>3
[3,1,5,4,2,6]=>[4,1,3,5,2,6]=>{{1,2,4,5},{3},{6}}=>2
[3,1,5,4,6,2]=>[4,1,3,6,5,2]=>{{1,2,4,6},{3},{5}}=>3
[3,1,5,6,2,4]=>[6,1,3,5,4,2]=>{{1,2,6},{3},{4,5}}=>2
[3,1,5,6,4,2]=>[6,1,3,5,2,4]=>{{1,2,4,5,6},{3}}=>3
[3,1,6,2,4,5]=>[6,1,3,2,4,5]=>{{1,2,4,5,6},{3}}=>3
[3,1,6,2,5,4]=>[5,1,3,2,6,4]=>{{1,2,4,5,6},{3}}=>3
[3,1,6,4,2,5]=>[4,1,3,6,2,5]=>{{1,2,4,5,6},{3}}=>3
[3,1,6,4,5,2]=>[4,1,3,5,6,2]=>{{1,2,4,5,6},{3}}=>3
[3,1,6,5,2,4]=>[5,1,3,6,4,2]=>{{1,2,4,5,6},{3}}=>3
[3,1,6,5,4,2]=>[5,1,3,6,2,4]=>{{1,2,5},{3},{4,6}}=>1
[3,2,1,4,5,6]=>[2,3,1,4,5,6]=>{{1,2,3},{4},{5},{6}}=>0
[3,2,1,4,6,5]=>[2,3,1,4,6,5]=>{{1,2,3},{4},{5,6}}=>0
[3,2,1,5,4,6]=>[2,3,1,5,4,6]=>{{1,2,3},{4,5},{6}}=>0
[3,2,1,5,6,4]=>[2,3,1,6,5,4]=>{{1,2,3},{4,6},{5}}=>1
[3,2,1,6,4,5]=>[2,3,1,6,4,5]=>{{1,2,3},{4,5,6}}=>0
[3,2,1,6,5,4]=>[2,3,1,5,6,4]=>{{1,2,3},{4,5,6}}=>0
[3,2,4,1,5,6]=>[2,4,3,1,5,6]=>{{1,2,4},{3},{5},{6}}=>1
[3,2,4,1,6,5]=>[2,4,3,1,6,5]=>{{1,2,4},{3},{5,6}}=>1
[3,2,4,5,1,6]=>[2,5,3,4,1,6]=>{{1,2,5},{3},{4},{6}}=>2
[3,2,4,5,6,1]=>[2,6,3,4,5,1]=>{{1,2,6},{3},{4},{5}}=>3
[3,2,4,6,1,5]=>[2,6,3,4,1,5]=>{{1,2,5,6},{3},{4}}=>4
[3,2,4,6,5,1]=>[2,5,3,4,6,1]=>{{1,2,5,6},{3},{4}}=>4
[3,2,5,1,4,6]=>[2,5,3,1,4,6]=>{{1,2,4,5},{3},{6}}=>2
[3,2,5,1,6,4]=>[2,6,3,1,5,4]=>{{1,2,4,6},{3},{5}}=>3
[3,2,5,4,1,6]=>[2,4,3,5,1,6]=>{{1,2,4,5},{3},{6}}=>2
[3,2,5,4,6,1]=>[2,4,3,6,5,1]=>{{1,2,4,6},{3},{5}}=>3
[3,2,5,6,1,4]=>[2,6,3,5,4,1]=>{{1,2,6},{3},{4,5}}=>2
[3,2,5,6,4,1]=>[2,6,3,5,1,4]=>{{1,2,4,5,6},{3}}=>3
[3,2,6,1,4,5]=>[2,6,3,1,4,5]=>{{1,2,4,5,6},{3}}=>3
[3,2,6,1,5,4]=>[2,5,3,1,6,4]=>{{1,2,4,5,6},{3}}=>3
[3,2,6,4,1,5]=>[2,4,3,6,1,5]=>{{1,2,4,5,6},{3}}=>3
[3,2,6,4,5,1]=>[2,4,3,5,6,1]=>{{1,2,4,5,6},{3}}=>3
[3,2,6,5,1,4]=>[2,5,3,6,4,1]=>{{1,2,4,5,6},{3}}=>3
[3,2,6,5,4,1]=>[2,5,3,6,1,4]=>{{1,2,5},{3},{4,6}}=>1
[3,4,1,2,5,6]=>[4,3,2,1,5,6]=>{{1,4},{2,3},{5},{6}}=>1
[3,4,1,2,6,5]=>[4,3,2,1,6,5]=>{{1,4},{2,3},{5,6}}=>1
[3,4,1,5,2,6]=>[5,3,2,4,1,6]=>{{1,5},{2,3},{4},{6}}=>2
[3,4,1,5,6,2]=>[6,3,2,4,5,1]=>{{1,6},{2,3},{4},{5}}=>3
[3,4,1,6,2,5]=>[6,3,2,4,1,5]=>{{1,5,6},{2,3},{4}}=>4
[3,4,1,6,5,2]=>[5,3,2,4,6,1]=>{{1,5,6},{2,3},{4}}=>4
[3,4,2,1,5,6]=>[4,3,1,2,5,6]=>{{1,2,3,4},{5},{6}}=>0
[3,4,2,1,6,5]=>[4,3,1,2,6,5]=>{{1,2,3,4},{5,6}}=>0
[3,4,2,5,1,6]=>[5,3,1,4,2,6]=>{{1,2,3,5},{4},{6}}=>1
[3,4,2,5,6,1]=>[6,3,1,4,5,2]=>{{1,2,3,6},{4},{5}}=>2
[3,4,2,6,1,5]=>[6,3,1,4,2,5]=>{{1,2,3,5,6},{4}}=>2
[3,4,2,6,5,1]=>[5,3,1,4,6,2]=>{{1,2,3,5,6},{4}}=>2
[3,4,5,1,2,6]=>[5,4,3,2,1,6]=>{{1,5},{2,4},{3},{6}}=>3
[3,4,5,1,6,2]=>[6,4,3,2,5,1]=>{{1,6},{2,4},{3},{5}}=>4
[3,4,5,2,1,6]=>[5,4,3,1,2,6]=>{{1,2,4,5},{3},{6}}=>2
[3,4,5,2,6,1]=>[6,4,3,1,5,2]=>{{1,2,4,6},{3},{5}}=>3
[3,4,5,6,1,2]=>[6,5,3,4,2,1]=>{{1,6},{2,5},{3},{4}}=>5
[3,4,5,6,2,1]=>[6,5,3,4,1,2]=>{{1,2,5,6},{3},{4}}=>4
[3,4,6,1,2,5]=>[6,4,3,2,1,5]=>{{1,5,6},{2,4},{3}}=>5
[3,4,6,1,5,2]=>[5,4,3,2,6,1]=>{{1,5,6},{2,4},{3}}=>5
[3,4,6,2,1,5]=>[6,4,3,1,2,5]=>{{1,2,4,5,6},{3}}=>3
[3,4,6,2,5,1]=>[5,4,3,1,6,2]=>{{1,2,4,5,6},{3}}=>3
[3,4,6,5,1,2]=>[6,4,3,5,2,1]=>{{1,6},{2,4,5},{3}}=>4
[3,4,6,5,2,1]=>[6,4,3,5,1,2]=>{{1,2,4,5,6},{3}}=>3
[3,5,1,2,4,6]=>[5,3,2,1,4,6]=>{{1,4,5},{2,3},{6}}=>2
[3,5,1,2,6,4]=>[6,3,2,1,5,4]=>{{1,4,6},{2,3},{5}}=>3
[3,5,1,4,2,6]=>[4,3,2,5,1,6]=>{{1,4,5},{2,3},{6}}=>2
[3,5,1,4,6,2]=>[4,3,2,6,5,1]=>{{1,4,6},{2,3},{5}}=>3
[3,5,1,6,2,4]=>[6,3,2,5,4,1]=>{{1,6},{2,3},{4,5}}=>2
[3,5,1,6,4,2]=>[6,3,2,5,1,4]=>{{1,4,5,6},{2,3}}=>3
[3,5,2,1,4,6]=>[5,3,1,2,4,6]=>{{1,2,3,4,5},{6}}=>0
[3,5,2,1,6,4]=>[6,3,1,2,5,4]=>{{1,2,3,4,6},{5}}=>1
[3,5,2,4,1,6]=>[4,3,1,5,2,6]=>{{1,2,3,4,5},{6}}=>0
[3,5,2,4,6,1]=>[4,3,1,6,5,2]=>{{1,2,3,4,6},{5}}=>1
[3,5,2,6,1,4]=>[6,3,1,5,4,2]=>{{1,2,3,6},{4,5}}=>1
[3,5,2,6,4,1]=>[6,3,1,5,2,4]=>{{1,2,3,4,5,6}}=>0
[3,5,4,1,2,6]=>[5,3,4,2,1,6]=>{{1,5},{2,3,4},{6}}=>1
[3,5,4,1,6,2]=>[6,3,4,2,5,1]=>{{1,6},{2,3,4},{5}}=>2
[3,5,4,2,1,6]=>[5,3,4,1,2,6]=>{{1,2,3,4,5},{6}}=>0
[3,5,4,2,6,1]=>[6,3,4,1,5,2]=>{{1,2,3,4,6},{5}}=>1
[3,5,4,6,1,2]=>[6,3,5,4,2,1]=>{{1,6},{2,3,5},{4}}=>3
[3,5,4,6,2,1]=>[6,3,5,4,1,2]=>{{1,2,3,5,6},{4}}=>2
[3,5,6,1,2,4]=>[6,5,3,2,4,1]=>{{1,6},{2,4,5},{3}}=>4
[3,5,6,1,4,2]=>[6,5,3,2,1,4]=>{{1,2,4,5,6},{3}}=>3
[3,5,6,2,1,4]=>[6,5,3,1,4,2]=>{{1,2,4,5,6},{3}}=>3
[3,5,6,2,4,1]=>[6,5,3,1,2,4]=>{{1,4,6},{2,5},{3}}=>4
[3,5,6,4,1,2]=>[5,4,3,6,2,1]=>{{1,2,4,5,6},{3}}=>3
[3,5,6,4,2,1]=>[5,4,3,6,1,2]=>{{1,5},{2,4,6},{3}}=>3
[3,6,1,2,4,5]=>[6,3,2,1,4,5]=>{{1,4,5,6},{2,3}}=>3
[3,6,1,2,5,4]=>[5,3,2,1,6,4]=>{{1,4,5,6},{2,3}}=>3
[3,6,1,4,2,5]=>[4,3,2,6,1,5]=>{{1,4,5,6},{2,3}}=>3
[3,6,1,4,5,2]=>[4,3,2,5,6,1]=>{{1,4,5,6},{2,3}}=>3
[3,6,1,5,2,4]=>[5,3,2,6,4,1]=>{{1,4,5,6},{2,3}}=>3
[3,6,1,5,4,2]=>[5,3,2,6,1,4]=>{{1,5},{2,3},{4,6}}=>1
[3,6,2,1,4,5]=>[6,3,1,2,4,5]=>{{1,2,3,4,5,6}}=>0
[3,6,2,1,5,4]=>[5,3,1,2,6,4]=>{{1,2,3,4,5,6}}=>0
[3,6,2,4,1,5]=>[4,3,1,6,2,5]=>{{1,2,3,4,5,6}}=>0
[3,6,2,4,5,1]=>[4,3,1,5,6,2]=>{{1,2,3,4,5,6}}=>0
[3,6,2,5,1,4]=>[5,3,1,6,4,2]=>{{1,2,3,4,5,6}}=>0
[3,6,2,5,4,1]=>[5,3,1,6,2,4]=>{{1,2,3,5},{4,6}}=>0
[3,6,4,1,2,5]=>[6,3,4,2,1,5]=>{{1,5,6},{2,3,4}}=>2
[3,6,4,1,5,2]=>[5,3,4,2,6,1]=>{{1,5,6},{2,3,4}}=>2
[3,6,4,2,1,5]=>[6,3,4,1,2,5]=>{{1,2,3,4,5,6}}=>0
[3,6,4,2,5,1]=>[5,3,4,1,6,2]=>{{1,2,3,4,5,6}}=>0
[3,6,4,5,1,2]=>[6,3,4,5,2,1]=>{{1,6},{2,3,4,5}}=>1
[3,6,4,5,2,1]=>[6,3,4,5,1,2]=>{{1,2,3,4,5,6}}=>0
[3,6,5,1,2,4]=>[6,3,5,2,4,1]=>{{1,6},{2,3,4,5}}=>1
[3,6,5,1,4,2]=>[6,3,5,2,1,4]=>{{1,2,3,4,5,6}}=>0
[3,6,5,2,1,4]=>[6,3,5,1,4,2]=>{{1,2,3,4,5,6}}=>0
[3,6,5,2,4,1]=>[6,3,5,1,2,4]=>{{1,4,6},{2,3,5}}=>1
[3,6,5,4,1,2]=>[5,3,4,6,2,1]=>{{1,2,3,4,5,6}}=>0
[3,6,5,4,2,1]=>[5,3,4,6,1,2]=>{{1,5},{2,3,4,6}}=>0
[4,1,2,3,5,6]=>[4,1,2,3,5,6]=>{{1,2,3,4},{5},{6}}=>0
[4,1,2,3,6,5]=>[4,1,2,3,6,5]=>{{1,2,3,4},{5,6}}=>0
[4,1,2,5,3,6]=>[5,1,2,4,3,6]=>{{1,2,3,5},{4},{6}}=>1
[4,1,2,5,6,3]=>[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}}=>2
[4,1,2,6,3,5]=>[6,1,2,4,3,5]=>{{1,2,3,5,6},{4}}=>2
[4,1,2,6,5,3]=>[5,1,2,4,6,3]=>{{1,2,3,5,6},{4}}=>2
[4,1,3,2,5,6]=>[3,1,4,2,5,6]=>{{1,2,3,4},{5},{6}}=>0
[4,1,3,2,6,5]=>[3,1,4,2,6,5]=>{{1,2,3,4},{5,6}}=>0
[4,1,3,5,2,6]=>[3,1,5,4,2,6]=>{{1,2,3,5},{4},{6}}=>1
[4,1,3,5,6,2]=>[3,1,6,4,5,2]=>{{1,2,3,6},{4},{5}}=>2
[4,1,3,6,2,5]=>[3,1,6,4,2,5]=>{{1,2,3,5,6},{4}}=>2
[4,1,3,6,5,2]=>[3,1,5,4,6,2]=>{{1,2,3,5,6},{4}}=>2
[4,1,5,2,3,6]=>[5,1,4,3,2,6]=>{{1,2,5},{3,4},{6}}=>1
[4,1,5,2,6,3]=>[6,1,4,3,5,2]=>{{1,2,6},{3,4},{5}}=>2
[4,1,5,3,2,6]=>[5,1,4,2,3,6]=>{{1,2,3,4,5},{6}}=>0
[4,1,5,3,6,2]=>[6,1,4,2,5,3]=>{{1,2,3,4,6},{5}}=>1
[4,1,5,6,2,3]=>[6,1,5,4,3,2]=>{{1,2,6},{3,5},{4}}=>3
[4,1,5,6,3,2]=>[6,1,5,4,2,3]=>{{1,2,3,5,6},{4}}=>2
[4,1,6,2,3,5]=>[6,1,4,3,2,5]=>{{1,2,5,6},{3,4}}=>2
[4,1,6,2,5,3]=>[5,1,4,3,6,2]=>{{1,2,5,6},{3,4}}=>2
[4,1,6,3,2,5]=>[6,1,4,2,3,5]=>{{1,2,3,4,5,6}}=>0
[4,1,6,3,5,2]=>[5,1,4,2,6,3]=>{{1,2,3,4,5,6}}=>0
[4,1,6,5,2,3]=>[6,1,4,5,3,2]=>{{1,2,6},{3,4,5}}=>1
[4,1,6,5,3,2]=>[6,1,4,5,2,3]=>{{1,2,3,4,5,6}}=>0
[4,2,1,3,5,6]=>[2,4,1,3,5,6]=>{{1,2,3,4},{5},{6}}=>0
[4,2,1,3,6,5]=>[2,4,1,3,6,5]=>{{1,2,3,4},{5,6}}=>0
[4,2,1,5,3,6]=>[2,5,1,4,3,6]=>{{1,2,3,5},{4},{6}}=>1
[4,2,1,5,6,3]=>[2,6,1,4,5,3]=>{{1,2,3,6},{4},{5}}=>2
[4,2,1,6,3,5]=>[2,6,1,4,3,5]=>{{1,2,3,5,6},{4}}=>2
[4,2,1,6,5,3]=>[2,5,1,4,6,3]=>{{1,2,3,5,6},{4}}=>2
[4,2,3,1,5,6]=>[2,3,4,1,5,6]=>{{1,2,3,4},{5},{6}}=>0
[4,2,3,1,6,5]=>[2,3,4,1,6,5]=>{{1,2,3,4},{5,6}}=>0
[4,2,3,5,1,6]=>[2,3,5,4,1,6]=>{{1,2,3,5},{4},{6}}=>1
[4,2,3,5,6,1]=>[2,3,6,4,5,1]=>{{1,2,3,6},{4},{5}}=>2
[4,2,3,6,1,5]=>[2,3,6,4,1,5]=>{{1,2,3,5,6},{4}}=>2
[4,2,3,6,5,1]=>[2,3,5,4,6,1]=>{{1,2,3,5,6},{4}}=>2
[4,2,5,1,3,6]=>[2,5,4,3,1,6]=>{{1,2,5},{3,4},{6}}=>1
[4,2,5,1,6,3]=>[2,6,4,3,5,1]=>{{1,2,6},{3,4},{5}}=>2
[4,2,5,3,1,6]=>[2,5,4,1,3,6]=>{{1,2,3,4,5},{6}}=>0
[4,2,5,3,6,1]=>[2,6,4,1,5,3]=>{{1,2,3,4,6},{5}}=>1
[4,2,5,6,1,3]=>[2,6,5,4,3,1]=>{{1,2,6},{3,5},{4}}=>3
[4,2,5,6,3,1]=>[2,6,5,4,1,3]=>{{1,2,3,5,6},{4}}=>2
[4,2,6,1,3,5]=>[2,6,4,3,1,5]=>{{1,2,5,6},{3,4}}=>2
[4,2,6,1,5,3]=>[2,5,4,3,6,1]=>{{1,2,5,6},{3,4}}=>2
[4,2,6,3,1,5]=>[2,6,4,1,3,5]=>{{1,2,3,4,5,6}}=>0
[4,2,6,3,5,1]=>[2,5,4,1,6,3]=>{{1,2,3,4,5,6}}=>0
[4,2,6,5,1,3]=>[2,6,4,5,3,1]=>{{1,2,6},{3,4,5}}=>1
[4,2,6,5,3,1]=>[2,6,4,5,1,3]=>{{1,2,3,4,5,6}}=>0
[4,3,1,2,5,6]=>[3,4,2,1,5,6]=>{{1,2,3,4},{5},{6}}=>0
[4,3,1,2,6,5]=>[3,4,2,1,6,5]=>{{1,2,3,4},{5,6}}=>0
[4,3,1,5,2,6]=>[3,5,2,4,1,6]=>{{1,2,3,5},{4},{6}}=>1
[4,3,1,5,6,2]=>[3,6,2,4,5,1]=>{{1,2,3,6},{4},{5}}=>2
[4,3,1,6,2,5]=>[3,6,2,4,1,5]=>{{1,2,3,5,6},{4}}=>2
[4,3,1,6,5,2]=>[3,5,2,4,6,1]=>{{1,2,3,5,6},{4}}=>2
[4,3,2,1,5,6]=>[3,4,1,2,5,6]=>{{1,3},{2,4},{5},{6}}=>0
[4,3,2,1,6,5]=>[3,4,1,2,6,5]=>{{1,3},{2,4},{5,6}}=>0
[4,3,2,5,1,6]=>[3,5,1,4,2,6]=>{{1,3},{2,5},{4},{6}}=>1
[4,3,2,5,6,1]=>[3,6,1,4,5,2]=>{{1,3},{2,6},{4},{5}}=>2
[4,3,2,6,1,5]=>[3,6,1,4,2,5]=>{{1,3},{2,5,6},{4}}=>2
[4,3,2,6,5,1]=>[3,5,1,4,6,2]=>{{1,3},{2,5,6},{4}}=>2
[4,3,5,1,2,6]=>[4,5,3,2,1,6]=>{{1,2,4,5},{3},{6}}=>2
[4,3,5,1,6,2]=>[4,6,3,2,5,1]=>{{1,2,4,6},{3},{5}}=>3
[4,3,5,2,1,6]=>[4,5,3,1,2,6]=>{{1,4},{2,5},{3},{6}}=>2
[4,3,5,2,6,1]=>[4,6,3,1,5,2]=>{{1,4},{2,6},{3},{5}}=>3
[4,3,5,6,1,2]=>[5,6,3,4,2,1]=>{{1,2,5,6},{3},{4}}=>4
[4,3,5,6,2,1]=>[5,6,3,4,1,2]=>{{1,5},{2,6},{3},{4}}=>4
[4,3,6,1,2,5]=>[4,6,3,2,1,5]=>{{1,2,4,5,6},{3}}=>3
[4,3,6,1,5,2]=>[4,5,3,2,6,1]=>{{1,2,4,5,6},{3}}=>3
[4,3,6,2,1,5]=>[4,6,3,1,2,5]=>{{1,4},{2,5,6},{3}}=>3
[4,3,6,2,5,1]=>[4,5,3,1,6,2]=>{{1,4},{2,5,6},{3}}=>3
[4,3,6,5,1,2]=>[4,6,3,5,2,1]=>{{1,2,4,5,6},{3}}=>3
[4,3,6,5,2,1]=>[4,6,3,5,1,2]=>{{1,4,5},{2,6},{3}}=>3
[4,5,1,2,3,6]=>[5,4,2,3,1,6]=>{{1,5},{2,3,4},{6}}=>1
[4,5,1,2,6,3]=>[6,4,2,3,5,1]=>{{1,6},{2,3,4},{5}}=>2
[4,5,1,3,2,6]=>[5,4,2,1,3,6]=>{{1,2,3,4,5},{6}}=>0
[4,5,1,3,6,2]=>[6,4,2,1,5,3]=>{{1,2,3,4,6},{5}}=>1
[4,5,1,6,2,3]=>[6,5,2,4,3,1]=>{{1,6},{2,3,5},{4}}=>3
[4,5,1,6,3,2]=>[6,5,2,4,1,3]=>{{1,2,3,5,6},{4}}=>2
[4,5,2,1,3,6]=>[5,4,1,3,2,6]=>{{1,2,3,4,5},{6}}=>0
[4,5,2,1,6,3]=>[6,4,1,3,5,2]=>{{1,2,3,4,6},{5}}=>1
[4,5,2,3,1,6]=>[5,4,1,2,3,6]=>{{1,3,5},{2,4},{6}}=>1
[4,5,2,3,6,1]=>[6,4,1,2,5,3]=>{{1,3,6},{2,4},{5}}=>2
[4,5,2,6,1,3]=>[6,5,1,4,3,2]=>{{1,2,3,5,6},{4}}=>2
[4,5,2,6,3,1]=>[6,5,1,4,2,3]=>{{1,3,6},{2,5},{4}}=>3
[4,5,3,1,2,6]=>[4,3,5,2,1,6]=>{{1,2,3,4,5},{6}}=>0
[4,5,3,1,6,2]=>[4,3,6,2,5,1]=>{{1,2,3,4,6},{5}}=>1
[4,5,3,2,1,6]=>[4,3,5,1,2,6]=>{{1,4},{2,3,5},{6}}=>0
[4,5,3,2,6,1]=>[4,3,6,1,5,2]=>{{1,4},{2,3,6},{5}}=>1
[4,5,3,6,1,2]=>[5,3,6,4,2,1]=>{{1,2,3,5,6},{4}}=>2
[4,5,3,6,2,1]=>[5,3,6,4,1,2]=>{{1,5},{2,3,6},{4}}=>2
[4,5,6,1,2,3]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>3
[4,5,6,1,3,2]=>[6,5,4,3,1,2]=>{{1,2,5,6},{3,4}}=>2
[4,5,6,2,1,3]=>[6,5,4,2,3,1]=>{{1,6},{2,3,4,5}}=>1
[4,5,6,2,3,1]=>[6,5,4,2,1,3]=>{{1,2,3,4,5,6}}=>0
[4,5,6,3,1,2]=>[6,5,4,1,3,2]=>{{1,2,3,4,5,6}}=>0
[4,5,6,3,2,1]=>[6,5,4,1,2,3]=>{{1,3,4,6},{2,5}}=>1
[4,6,1,2,3,5]=>[6,4,2,3,1,5]=>{{1,5,6},{2,3,4}}=>2
[4,6,1,2,5,3]=>[5,4,2,3,6,1]=>{{1,5,6},{2,3,4}}=>2
[4,6,1,3,2,5]=>[6,4,2,1,3,5]=>{{1,2,3,4,5,6}}=>0
[4,6,1,3,5,2]=>[5,4,2,1,6,3]=>{{1,2,3,4,5,6}}=>0
[4,6,1,5,2,3]=>[6,4,2,5,3,1]=>{{1,6},{2,3,4,5}}=>1
[4,6,1,5,3,2]=>[6,4,2,5,1,3]=>{{1,2,3,4,5,6}}=>0
[4,6,2,1,3,5]=>[6,4,1,3,2,5]=>{{1,2,3,4,5,6}}=>0
[4,6,2,1,5,3]=>[5,4,1,3,6,2]=>{{1,2,3,4,5,6}}=>0
[4,6,2,3,1,5]=>[6,4,1,2,3,5]=>{{1,3,5,6},{2,4}}=>2
[4,6,2,3,5,1]=>[5,4,1,2,6,3]=>{{1,3,5,6},{2,4}}=>2
[4,6,2,5,1,3]=>[6,4,1,5,3,2]=>{{1,2,3,4,5,6}}=>0
[4,6,2,5,3,1]=>[6,4,1,5,2,3]=>{{1,3,6},{2,4,5}}=>1
[4,6,3,1,2,5]=>[4,3,6,2,1,5]=>{{1,2,3,4,5,6}}=>0
[4,6,3,1,5,2]=>[4,3,5,2,6,1]=>{{1,2,3,4,5,6}}=>0
[4,6,3,2,1,5]=>[4,3,6,1,2,5]=>{{1,4},{2,3,5,6}}=>0
[4,6,3,2,5,1]=>[4,3,5,1,6,2]=>{{1,4},{2,3,5,6}}=>0
[4,6,3,5,1,2]=>[4,3,6,5,2,1]=>{{1,2,3,4,5,6}}=>0
[4,6,3,5,2,1]=>[4,3,6,5,1,2]=>{{1,4,5},{2,3,6}}=>0
[4,6,5,1,2,3]=>[6,4,5,3,2,1]=>{{1,6},{2,3,4,5}}=>1
[4,6,5,1,3,2]=>[6,4,5,3,1,2]=>{{1,2,3,4,5,6}}=>0
[4,6,5,2,1,3]=>[6,4,5,2,3,1]=>{{1,6},{2,4},{3,5}}=>2
[4,6,5,2,3,1]=>[6,4,5,2,1,3]=>{{1,3,5,6},{2,4}}=>2
[4,6,5,3,1,2]=>[6,4,5,1,3,2]=>{{1,2,4,6},{3,5}}=>1
[4,6,5,3,2,1]=>[6,4,5,1,2,3]=>{{1,2,3,4,5,6}}=>0
[5,1,2,3,4,6]=>[5,1,2,3,4,6]=>{{1,2,3,4,5},{6}}=>0
[5,1,2,3,6,4]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}}=>1
[5,1,2,4,3,6]=>[4,1,2,5,3,6]=>{{1,2,3,4,5},{6}}=>0
[5,1,2,4,6,3]=>[4,1,2,6,5,3]=>{{1,2,3,4,6},{5}}=>1
[5,1,2,6,3,4]=>[6,1,2,5,4,3]=>{{1,2,3,6},{4,5}}=>1
[5,1,2,6,4,3]=>[6,1,2,5,3,4]=>{{1,2,3,4,5,6}}=>0
[5,1,3,2,4,6]=>[3,1,5,2,4,6]=>{{1,2,3,4,5},{6}}=>0
[5,1,3,2,6,4]=>[3,1,6,2,5,4]=>{{1,2,3,4,6},{5}}=>1
[5,1,3,4,2,6]=>[3,1,4,5,2,6]=>{{1,2,3,4,5},{6}}=>0
[5,1,3,4,6,2]=>[3,1,4,6,5,2]=>{{1,2,3,4,6},{5}}=>1
[5,1,3,6,2,4]=>[3,1,6,5,4,2]=>{{1,2,3,6},{4,5}}=>1
[5,1,3,6,4,2]=>[3,1,6,5,2,4]=>{{1,2,3,4,5,6}}=>0
[5,1,4,2,3,6]=>[4,1,5,3,2,6]=>{{1,2,3,4,5},{6}}=>0
[5,1,4,2,6,3]=>[4,1,6,3,5,2]=>{{1,2,3,4,6},{5}}=>1
[5,1,4,3,2,6]=>[4,1,5,2,3,6]=>{{1,2,4},{3,5},{6}}=>0
[5,1,4,3,6,2]=>[4,1,6,2,5,3]=>{{1,2,4},{3,6},{5}}=>1
[5,1,4,6,2,3]=>[5,1,6,4,3,2]=>{{1,2,3,5,6},{4}}=>2
[5,1,4,6,3,2]=>[5,1,6,4,2,3]=>{{1,2,5},{3,6},{4}}=>2
[5,1,6,2,3,4]=>[6,1,5,3,4,2]=>{{1,2,6},{3,4,5}}=>1
[5,1,6,2,4,3]=>[6,1,5,3,2,4]=>{{1,2,3,4,5,6}}=>0
[5,1,6,3,2,4]=>[6,1,5,2,4,3]=>{{1,2,3,4,5,6}}=>0
[5,1,6,3,4,2]=>[6,1,5,2,3,4]=>{{1,2,4,6},{3,5}}=>1
[5,1,6,4,2,3]=>[5,1,4,6,3,2]=>{{1,2,3,4,5,6}}=>0
[5,1,6,4,3,2]=>[5,1,4,6,2,3]=>{{1,2,5},{3,4,6}}=>0
[5,2,1,3,4,6]=>[2,5,1,3,4,6]=>{{1,2,3,4,5},{6}}=>0
[5,2,1,3,6,4]=>[2,6,1,3,5,4]=>{{1,2,3,4,6},{5}}=>1
[5,2,1,4,3,6]=>[2,4,1,5,3,6]=>{{1,2,3,4,5},{6}}=>0
[5,2,1,4,6,3]=>[2,4,1,6,5,3]=>{{1,2,3,4,6},{5}}=>1
[5,2,1,6,3,4]=>[2,6,1,5,4,3]=>{{1,2,3,6},{4,5}}=>1
[5,2,1,6,4,3]=>[2,6,1,5,3,4]=>{{1,2,3,4,5,6}}=>0
[5,2,3,1,4,6]=>[2,3,5,1,4,6]=>{{1,2,3,4,5},{6}}=>0
[5,2,3,1,6,4]=>[2,3,6,1,5,4]=>{{1,2,3,4,6},{5}}=>1
[5,2,3,4,1,6]=>[2,3,4,5,1,6]=>{{1,2,3,4,5},{6}}=>0
[5,2,3,4,6,1]=>[2,3,4,6,5,1]=>{{1,2,3,4,6},{5}}=>1
[5,2,3,6,1,4]=>[2,3,6,5,4,1]=>{{1,2,3,6},{4,5}}=>1
[5,2,3,6,4,1]=>[2,3,6,5,1,4]=>{{1,2,3,4,5,6}}=>0
[5,2,4,1,3,6]=>[2,4,5,3,1,6]=>{{1,2,3,4,5},{6}}=>0
[5,2,4,1,6,3]=>[2,4,6,3,5,1]=>{{1,2,3,4,6},{5}}=>1
[5,2,4,3,1,6]=>[2,4,5,1,3,6]=>{{1,2,4},{3,5},{6}}=>0
[5,2,4,3,6,1]=>[2,4,6,1,5,3]=>{{1,2,4},{3,6},{5}}=>1
[5,2,4,6,1,3]=>[2,5,6,4,3,1]=>{{1,2,3,5,6},{4}}=>2
[5,2,4,6,3,1]=>[2,5,6,4,1,3]=>{{1,2,5},{3,6},{4}}=>2
[5,2,6,1,3,4]=>[2,6,5,3,4,1]=>{{1,2,6},{3,4,5}}=>1
[5,2,6,1,4,3]=>[2,6,5,3,1,4]=>{{1,2,3,4,5,6}}=>0
[5,2,6,3,1,4]=>[2,6,5,1,4,3]=>{{1,2,3,4,5,6}}=>0
[5,2,6,3,4,1]=>[2,6,5,1,3,4]=>{{1,2,4,6},{3,5}}=>1
[5,2,6,4,1,3]=>[2,5,4,6,3,1]=>{{1,2,3,4,5,6}}=>0
[5,2,6,4,3,1]=>[2,5,4,6,1,3]=>{{1,2,5},{3,4,6}}=>0
[5,3,1,2,4,6]=>[3,5,2,1,4,6]=>{{1,2,3,4,5},{6}}=>0
[5,3,1,2,6,4]=>[3,6,2,1,5,4]=>{{1,2,3,4,6},{5}}=>1
[5,3,1,4,2,6]=>[3,4,2,5,1,6]=>{{1,2,3,4,5},{6}}=>0
[5,3,1,4,6,2]=>[3,4,2,6,5,1]=>{{1,2,3,4,6},{5}}=>1
[5,3,1,6,2,4]=>[3,6,2,5,4,1]=>{{1,2,3,6},{4,5}}=>1
[5,3,1,6,4,2]=>[3,6,2,5,1,4]=>{{1,2,3,4,5,6}}=>0
[5,3,2,1,4,6]=>[3,5,1,2,4,6]=>{{1,3},{2,4,5},{6}}=>0
[5,3,2,1,6,4]=>[3,6,1,2,5,4]=>{{1,3},{2,4,6},{5}}=>1
[5,3,2,4,1,6]=>[3,4,1,5,2,6]=>{{1,3},{2,4,5},{6}}=>0
[5,3,2,4,6,1]=>[3,4,1,6,5,2]=>{{1,3},{2,4,6},{5}}=>1
[5,3,2,6,1,4]=>[3,6,1,5,4,2]=>{{1,3},{2,6},{4,5}}=>1
[5,3,2,6,4,1]=>[3,6,1,5,2,4]=>{{1,3},{2,4,5,6}}=>0
[5,3,4,1,2,6]=>[3,5,4,2,1,6]=>{{1,2,3,4,5},{6}}=>0
[5,3,4,1,6,2]=>[3,6,4,2,5,1]=>{{1,2,3,4,6},{5}}=>1
[5,3,4,2,1,6]=>[3,5,4,1,2,6]=>{{1,3,4},{2,5},{6}}=>0
[5,3,4,2,6,1]=>[3,6,4,1,5,2]=>{{1,3,4},{2,6},{5}}=>1
[5,3,4,6,1,2]=>[3,6,5,4,2,1]=>{{1,2,3,5,6},{4}}=>2
[5,3,4,6,2,1]=>[3,6,5,4,1,2]=>{{1,3,5},{2,6},{4}}=>2
[5,3,6,1,2,4]=>[5,6,3,2,4,1]=>{{1,2,4,5,6},{3}}=>3
[5,3,6,1,4,2]=>[5,6,3,2,1,4]=>{{1,5},{2,4,6},{3}}=>3
[5,3,6,2,1,4]=>[5,6,3,1,4,2]=>{{1,4,5},{2,6},{3}}=>3
[5,3,6,2,4,1]=>[5,6,3,1,2,4]=>{{1,2,4,5,6},{3}}=>3
[5,3,6,4,1,2]=>[4,5,3,6,2,1]=>{{1,4,6},{2,5},{3}}=>4
[5,3,6,4,2,1]=>[4,5,3,6,1,2]=>{{1,2,4,5,6},{3}}=>3
[5,4,1,2,3,6]=>[4,5,2,3,1,6]=>{{1,2,3,4,5},{6}}=>0
[5,4,1,2,6,3]=>[4,6,2,3,5,1]=>{{1,2,3,4,6},{5}}=>1
[5,4,1,3,2,6]=>[4,5,2,1,3,6]=>{{1,4},{2,3,5},{6}}=>0
[5,4,1,3,6,2]=>[4,6,2,1,5,3]=>{{1,4},{2,3,6},{5}}=>1
[5,4,1,6,2,3]=>[5,6,2,4,3,1]=>{{1,2,3,5,6},{4}}=>2
[5,4,1,6,3,2]=>[5,6,2,4,1,3]=>{{1,5},{2,3,6},{4}}=>2
[5,4,2,1,3,6]=>[4,5,1,3,2,6]=>{{1,3,4},{2,5},{6}}=>0
[5,4,2,1,6,3]=>[4,6,1,3,5,2]=>{{1,3,4},{2,6},{5}}=>1
[5,4,2,3,1,6]=>[4,5,1,2,3,6]=>{{1,2,3,4,5},{6}}=>0
[5,4,2,3,6,1]=>[4,6,1,2,5,3]=>{{1,2,3,4,6},{5}}=>1
[5,4,2,6,1,3]=>[5,6,1,4,3,2]=>{{1,3,5},{2,6},{4}}=>2
[5,4,2,6,3,1]=>[5,6,1,4,2,3]=>{{1,2,3,5,6},{4}}=>2
[5,4,3,1,2,6]=>[3,4,5,2,1,6]=>{{1,3,5},{2,4},{6}}=>1
[5,4,3,1,6,2]=>[3,4,6,2,5,1]=>{{1,3,6},{2,4},{5}}=>2
[5,4,3,2,1,6]=>[3,4,5,1,2,6]=>{{1,2,3,4,5},{6}}=>0
[5,4,3,2,6,1]=>[3,4,6,1,5,2]=>{{1,2,3,4,6},{5}}=>1
[5,4,3,6,1,2]=>[3,5,6,4,2,1]=>{{1,3,6},{2,5},{4}}=>3
[5,4,3,6,2,1]=>[3,5,6,4,1,2]=>{{1,2,3,5,6},{4}}=>2
[5,4,6,1,2,3]=>[5,6,4,3,2,1]=>{{1,2,5,6},{3,4}}=>2
[5,4,6,1,3,2]=>[5,6,4,3,1,2]=>{{1,5},{2,6},{3,4}}=>2
[5,4,6,2,1,3]=>[5,6,4,2,3,1]=>{{1,2,3,4,5,6}}=>0
[5,4,6,2,3,1]=>[5,6,4,2,1,3]=>{{1,5},{2,3,4,6}}=>0
[5,4,6,3,1,2]=>[5,6,4,1,3,2]=>{{1,3,4,5},{2,6}}=>0
[5,4,6,3,2,1]=>[5,6,4,1,2,3]=>{{1,2,3,4,5,6}}=>0
[5,6,1,2,3,4]=>[6,5,2,3,4,1]=>{{1,6},{2,3,4,5}}=>1
[5,6,1,2,4,3]=>[6,5,2,3,1,4]=>{{1,2,3,4,5,6}}=>0
[5,6,1,3,2,4]=>[6,5,2,1,4,3]=>{{1,2,3,4,5,6}}=>0
[5,6,1,3,4,2]=>[6,5,2,1,3,4]=>{{1,4,6},{2,3,5}}=>1
[5,6,1,4,2,3]=>[5,4,2,6,3,1]=>{{1,2,3,4,5,6}}=>0
[5,6,1,4,3,2]=>[5,4,2,6,1,3]=>{{1,5},{2,3,4,6}}=>0
[5,6,2,1,3,4]=>[6,5,1,3,4,2]=>{{1,2,3,4,5,6}}=>0
[5,6,2,1,4,3]=>[6,5,1,3,2,4]=>{{1,3,4,6},{2,5}}=>1
[5,6,2,3,1,4]=>[6,5,1,2,4,3]=>{{1,3,6},{2,4,5}}=>1
[5,6,2,3,4,1]=>[6,5,1,2,3,4]=>{{1,2,3,4,5,6}}=>0
[5,6,2,4,1,3]=>[5,4,1,6,3,2]=>{{1,3,5},{2,4,6}}=>0
[5,6,2,4,3,1]=>[5,4,1,6,2,3]=>{{1,2,3,4,5,6}}=>0
[5,6,3,1,2,4]=>[5,3,6,2,4,1]=>{{1,2,3,4,5,6}}=>0
[5,6,3,1,4,2]=>[5,3,6,2,1,4]=>{{1,5},{2,3,4,6}}=>0
[5,6,3,2,1,4]=>[5,3,6,1,4,2]=>{{1,4,5},{2,3,6}}=>0
[5,6,3,2,4,1]=>[5,3,6,1,2,4]=>{{1,2,3,4,5,6}}=>0
[5,6,3,4,1,2]=>[4,3,5,6,2,1]=>{{1,4,6},{2,3,5}}=>1
[5,6,3,4,2,1]=>[4,3,5,6,1,2]=>{{1,2,3,4,5,6}}=>0
[5,6,4,1,2,3]=>[5,4,6,3,2,1]=>{{1,2,3,4,5,6}}=>0
[5,6,4,1,3,2]=>[5,4,6,3,1,2]=>{{1,5},{2,3,4,6}}=>0
[5,6,4,2,1,3]=>[5,4,6,2,3,1]=>{{1,3,5,6},{2,4}}=>2
[5,6,4,2,3,1]=>[5,4,6,2,1,3]=>{{1,5},{2,4},{3,6}}=>1
[5,6,4,3,1,2]=>[5,4,6,1,3,2]=>{{1,2,3,4,5,6}}=>0
[5,6,4,3,2,1]=>[5,4,6,1,2,3]=>{{1,2,4,5},{3,6}}=>0
[6,1,2,3,4,5]=>[6,1,2,3,4,5]=>{{1,2,3,4,5,6}}=>0
[6,1,2,3,5,4]=>[5,1,2,3,6,4]=>{{1,2,3,4,5,6}}=>0
[6,1,2,4,3,5]=>[4,1,2,6,3,5]=>{{1,2,3,4,5,6}}=>0
[6,1,2,4,5,3]=>[4,1,2,5,6,3]=>{{1,2,3,4,5,6}}=>0
[6,1,2,5,3,4]=>[5,1,2,6,4,3]=>{{1,2,3,4,5,6}}=>0
[6,1,2,5,4,3]=>[5,1,2,6,3,4]=>{{1,2,3,5},{4,6}}=>0
[6,1,3,2,4,5]=>[3,1,6,2,4,5]=>{{1,2,3,4,5,6}}=>0
[6,1,3,2,5,4]=>[3,1,5,2,6,4]=>{{1,2,3,4,5,6}}=>0
[6,1,3,4,2,5]=>[3,1,4,6,2,5]=>{{1,2,3,4,5,6}}=>0
[6,1,3,4,5,2]=>[3,1,4,5,6,2]=>{{1,2,3,4,5,6}}=>0
[6,1,3,5,2,4]=>[3,1,5,6,4,2]=>{{1,2,3,4,5,6}}=>0
[6,1,3,5,4,2]=>[3,1,5,6,2,4]=>{{1,2,3,5},{4,6}}=>0
[6,1,4,2,3,5]=>[4,1,6,3,2,5]=>{{1,2,3,4,5,6}}=>0
[6,1,4,2,5,3]=>[4,1,5,3,6,2]=>{{1,2,3,4,5,6}}=>0
[6,1,4,3,2,5]=>[4,1,6,2,3,5]=>{{1,2,4},{3,5,6}}=>0
[6,1,4,3,5,2]=>[4,1,5,2,6,3]=>{{1,2,4},{3,5,6}}=>0
[6,1,4,5,2,3]=>[4,1,6,5,3,2]=>{{1,2,3,4,5,6}}=>0
[6,1,4,5,3,2]=>[4,1,6,5,2,3]=>{{1,2,4,5},{3,6}}=>0
[6,1,5,2,3,4]=>[5,1,6,3,4,2]=>{{1,2,3,4,5,6}}=>0
[6,1,5,2,4,3]=>[5,1,6,3,2,4]=>{{1,2,5},{3,4,6}}=>0
[6,1,5,3,2,4]=>[5,1,6,2,4,3]=>{{1,2,4,5},{3,6}}=>0
[6,1,5,3,4,2]=>[5,1,6,2,3,4]=>{{1,2,3,4,5,6}}=>0
[6,1,5,4,2,3]=>[4,1,5,6,3,2]=>{{1,2,4,6},{3,5}}=>1
[6,1,5,4,3,2]=>[4,1,5,6,2,3]=>{{1,2,3,4,5,6}}=>0
[6,2,1,3,4,5]=>[2,6,1,3,4,5]=>{{1,2,3,4,5,6}}=>0
[6,2,1,3,5,4]=>[2,5,1,3,6,4]=>{{1,2,3,4,5,6}}=>0
[6,2,1,4,3,5]=>[2,4,1,6,3,5]=>{{1,2,3,4,5,6}}=>0
[6,2,1,4,5,3]=>[2,4,1,5,6,3]=>{{1,2,3,4,5,6}}=>0
[6,2,1,5,3,4]=>[2,5,1,6,4,3]=>{{1,2,3,4,5,6}}=>0
[6,2,1,5,4,3]=>[2,5,1,6,3,4]=>{{1,2,3,5},{4,6}}=>0
[6,2,3,1,4,5]=>[2,3,6,1,4,5]=>{{1,2,3,4,5,6}}=>0
[6,2,3,1,5,4]=>[2,3,5,1,6,4]=>{{1,2,3,4,5,6}}=>0
[6,2,3,4,1,5]=>[2,3,4,6,1,5]=>{{1,2,3,4,5,6}}=>0
[6,2,3,4,5,1]=>[2,3,4,5,6,1]=>{{1,2,3,4,5,6}}=>0
[6,2,3,5,1,4]=>[2,3,5,6,4,1]=>{{1,2,3,4,5,6}}=>0
[6,2,3,5,4,1]=>[2,3,5,6,1,4]=>{{1,2,3,5},{4,6}}=>0
[6,2,4,1,3,5]=>[2,4,6,3,1,5]=>{{1,2,3,4,5,6}}=>0
[6,2,4,1,5,3]=>[2,4,5,3,6,1]=>{{1,2,3,4,5,6}}=>0
[6,2,4,3,1,5]=>[2,4,6,1,3,5]=>{{1,2,4},{3,5,6}}=>0
[6,2,4,3,5,1]=>[2,4,5,1,6,3]=>{{1,2,4},{3,5,6}}=>0
[6,2,4,5,1,3]=>[2,4,6,5,3,1]=>{{1,2,3,4,5,6}}=>0
[6,2,4,5,3,1]=>[2,4,6,5,1,3]=>{{1,2,4,5},{3,6}}=>0
[6,2,5,1,3,4]=>[2,5,6,3,4,1]=>{{1,2,3,4,5,6}}=>0
[6,2,5,1,4,3]=>[2,5,6,3,1,4]=>{{1,2,5},{3,4,6}}=>0
[6,2,5,3,1,4]=>[2,5,6,1,4,3]=>{{1,2,4,5},{3,6}}=>0
[6,2,5,3,4,1]=>[2,5,6,1,3,4]=>{{1,2,3,4,5,6}}=>0
[6,2,5,4,1,3]=>[2,4,5,6,3,1]=>{{1,2,4,6},{3,5}}=>1
[6,2,5,4,3,1]=>[2,4,5,6,1,3]=>{{1,2,3,4,5,6}}=>0
[6,3,1,2,4,5]=>[3,6,2,1,4,5]=>{{1,2,3,4,5,6}}=>0
[6,3,1,2,5,4]=>[3,5,2,1,6,4]=>{{1,2,3,4,5,6}}=>0
[6,3,1,4,2,5]=>[3,4,2,6,1,5]=>{{1,2,3,4,5,6}}=>0
[6,3,1,4,5,2]=>[3,4,2,5,6,1]=>{{1,2,3,4,5,6}}=>0
[6,3,1,5,2,4]=>[3,5,2,6,4,1]=>{{1,2,3,4,5,6}}=>0
[6,3,1,5,4,2]=>[3,5,2,6,1,4]=>{{1,2,3,5},{4,6}}=>0
[6,3,2,1,4,5]=>[3,6,1,2,4,5]=>{{1,3},{2,4,5,6}}=>0
[6,3,2,1,5,4]=>[3,5,1,2,6,4]=>{{1,3},{2,4,5,6}}=>0
[6,3,2,4,1,5]=>[3,4,1,6,2,5]=>{{1,3},{2,4,5,6}}=>0
[6,3,2,4,5,1]=>[3,4,1,5,6,2]=>{{1,3},{2,4,5,6}}=>0
[6,3,2,5,1,4]=>[3,5,1,6,4,2]=>{{1,3},{2,4,5,6}}=>0
[6,3,2,5,4,1]=>[3,5,1,6,2,4]=>{{1,3},{2,5},{4,6}}=>0
[6,3,4,1,2,5]=>[3,6,4,2,1,5]=>{{1,2,3,4,5,6}}=>0
[6,3,4,1,5,2]=>[3,5,4,2,6,1]=>{{1,2,3,4,5,6}}=>0
[6,3,4,2,1,5]=>[3,6,4,1,2,5]=>{{1,3,4},{2,5,6}}=>0
[6,3,4,2,5,1]=>[3,5,4,1,6,2]=>{{1,3,4},{2,5,6}}=>0
[6,3,4,5,1,2]=>[3,6,4,5,2,1]=>{{1,2,3,4,5,6}}=>0
[6,3,4,5,2,1]=>[3,6,4,5,1,2]=>{{1,3,4,5},{2,6}}=>0
[6,3,5,1,2,4]=>[3,6,5,2,4,1]=>{{1,2,3,4,5,6}}=>0
[6,3,5,1,4,2]=>[3,6,5,2,1,4]=>{{1,3,5},{2,4,6}}=>0
[6,3,5,2,1,4]=>[3,6,5,1,4,2]=>{{1,3,4,5},{2,6}}=>0
[6,3,5,2,4,1]=>[3,6,5,1,2,4]=>{{1,2,3,4,5,6}}=>0
[6,3,5,4,1,2]=>[3,5,4,6,2,1]=>{{1,3,4,6},{2,5}}=>1
[6,3,5,4,2,1]=>[3,5,4,6,1,2]=>{{1,2,3,4,5,6}}=>0
[6,4,1,2,3,5]=>[4,6,2,3,1,5]=>{{1,2,3,4,5,6}}=>0
[6,4,1,2,5,3]=>[4,5,2,3,6,1]=>{{1,2,3,4,5,6}}=>0
[6,4,1,3,2,5]=>[4,6,2,1,3,5]=>{{1,4},{2,3,5,6}}=>0
[6,4,1,3,5,2]=>[4,5,2,1,6,3]=>{{1,4},{2,3,5,6}}=>0
[6,4,1,5,2,3]=>[4,6,2,5,3,1]=>{{1,2,3,4,5,6}}=>0
[6,4,1,5,3,2]=>[4,6,2,5,1,3]=>{{1,4,5},{2,3,6}}=>0
[6,4,2,1,3,5]=>[4,6,1,3,2,5]=>{{1,3,4},{2,5,6}}=>0
[6,4,2,1,5,3]=>[4,5,1,3,6,2]=>{{1,3,4},{2,5,6}}=>0
[6,4,2,3,1,5]=>[4,6,1,2,3,5]=>{{1,2,3,4,5,6}}=>0
[6,4,2,3,5,1]=>[4,5,1,2,6,3]=>{{1,2,3,4,5,6}}=>0
[6,4,2,5,1,3]=>[4,6,1,5,3,2]=>{{1,3,4,5},{2,6}}=>0
[6,4,2,5,3,1]=>[4,6,1,5,2,3]=>{{1,2,3,4,5,6}}=>0
[6,4,3,1,2,5]=>[3,4,6,2,1,5]=>{{1,3,5,6},{2,4}}=>2
[6,4,3,1,5,2]=>[3,4,5,2,6,1]=>{{1,3,5,6},{2,4}}=>2
[6,4,3,2,1,5]=>[3,4,6,1,2,5]=>{{1,2,3,4,5,6}}=>0
[6,4,3,2,5,1]=>[3,4,5,1,6,2]=>{{1,2,3,4,5,6}}=>0
[6,4,3,5,1,2]=>[3,4,6,5,2,1]=>{{1,3,6},{2,4,5}}=>1
[6,4,3,5,2,1]=>[3,4,6,5,1,2]=>{{1,2,3,4,5,6}}=>0
[6,4,5,1,2,3]=>[4,6,5,3,2,1]=>{{1,2,3,4,5,6}}=>0
[6,4,5,1,3,2]=>[4,6,5,3,1,2]=>{{1,3,4,5},{2,6}}=>0
[6,4,5,2,1,3]=>[4,6,5,2,3,1]=>{{1,2,4,6},{3,5}}=>1
[6,4,5,2,3,1]=>[4,6,5,2,1,3]=>{{1,2,3,4,5,6}}=>0
[6,4,5,3,1,2]=>[4,6,5,1,3,2]=>{{1,4},{2,6},{3,5}}=>1
[6,4,5,3,2,1]=>[4,6,5,1,2,3]=>{{1,4},{2,3,5,6}}=>0
[6,5,1,2,3,4]=>[5,6,2,3,4,1]=>{{1,2,3,4,5,6}}=>0
[6,5,1,2,4,3]=>[5,6,2,3,1,4]=>{{1,5},{2,3,4,6}}=>0
[6,5,1,3,2,4]=>[5,6,2,1,4,3]=>{{1,4,5},{2,3,6}}=>0
[6,5,1,3,4,2]=>[5,6,2,1,3,4]=>{{1,2,3,4,5,6}}=>0
[6,5,1,4,2,3]=>[4,5,2,6,3,1]=>{{1,4,6},{2,3,5}}=>1
[6,5,1,4,3,2]=>[4,5,2,6,1,3]=>{{1,2,3,4,5,6}}=>0
[6,5,2,1,3,4]=>[5,6,1,3,4,2]=>{{1,3,4,5},{2,6}}=>0
[6,5,2,1,4,3]=>[5,6,1,3,2,4]=>{{1,2,3,4,5,6}}=>0
[6,5,2,3,1,4]=>[5,6,1,2,4,3]=>{{1,2,3,4,5,6}}=>0
[6,5,2,3,4,1]=>[5,6,1,2,3,4]=>{{1,3,5},{2,4,6}}=>0
[6,5,2,4,1,3]=>[4,5,1,6,3,2]=>{{1,2,3,4,5,6}}=>0
[6,5,2,4,3,1]=>[4,5,1,6,2,3]=>{{1,3,4,6},{2,5}}=>1
[6,5,3,1,2,4]=>[3,5,6,2,4,1]=>{{1,3,6},{2,4,5}}=>1
[6,5,3,1,4,2]=>[3,5,6,2,1,4]=>{{1,2,3,4,5,6}}=>0
[6,5,3,2,1,4]=>[3,5,6,1,4,2]=>{{1,2,3,4,5,6}}=>0
[6,5,3,2,4,1]=>[3,5,6,1,2,4]=>{{1,3,4,6},{2,5}}=>1
[6,5,3,4,1,2]=>[3,4,5,6,2,1]=>{{1,2,3,4,5,6}}=>0
[6,5,3,4,2,1]=>[3,4,5,6,1,2]=>{{1,3,5},{2,4,6}}=>0
[6,5,4,1,2,3]=>[4,5,6,3,2,1]=>{{1,3,4,6},{2,5}}=>1
[6,5,4,1,3,2]=>[4,5,6,3,1,2]=>{{1,2,3,4,5,6}}=>0
[6,5,4,2,1,3]=>[4,5,6,2,3,1]=>{{1,2,3,4,5,6}}=>0
[6,5,4,2,3,1]=>[4,5,6,2,1,3]=>{{1,2,4,5},{3,6}}=>0
[6,5,4,3,1,2]=>[4,5,6,1,3,2]=>{{1,4},{2,3,5,6}}=>0
[6,5,4,3,2,1]=>[4,5,6,1,2,3]=>{{1,4},{2,5},{3,6}}=>0
[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>{{1},{2},{3},{4},{5},{6},{7}}=>0
[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>{{1},{2},{3},{4},{5},{6,7}}=>0
[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>{{1},{2},{3},{4},{5,6},{7}}=>0
[1,2,3,4,6,7,5]=>[1,2,3,4,7,6,5]=>{{1},{2},{3},{4},{5,7},{6}}=>1
[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>{{1},{2},{3},{4},{5,6,7}}=>0
[1,2,3,4,7,6,5]=>[1,2,3,4,6,7,5]=>{{1},{2},{3},{4},{5,6,7}}=>0
[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>{{1},{2},{3},{4,5},{6},{7}}=>0
[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]=>{{1},{2},{3},{4,5},{6,7}}=>0
[1,2,3,5,6,4,7]=>[1,2,3,6,5,4,7]=>{{1},{2},{3},{4,6},{5},{7}}=>1
[1,2,3,5,6,7,4]=>[1,2,3,7,5,6,4]=>{{1},{2},{3},{4,7},{5},{6}}=>2
[1,2,3,5,7,4,6]=>[1,2,3,7,5,4,6]=>{{1},{2},{3},{4,6,7},{5}}=>2
[1,2,3,5,7,6,4]=>[1,2,3,6,5,7,4]=>{{1},{2},{3},{4,6,7},{5}}=>2
[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>{{1},{2},{3},{4,5,6},{7}}=>0
[1,2,3,6,4,7,5]=>[1,2,3,7,4,6,5]=>{{1},{2},{3},{4,5,7},{6}}=>1
[1,2,3,6,5,4,7]=>[1,2,3,5,6,4,7]=>{{1},{2},{3},{4,5,6},{7}}=>0
[1,2,3,6,5,7,4]=>[1,2,3,5,7,6,4]=>{{1},{2},{3},{4,5,7},{6}}=>1
[1,2,3,6,7,4,5]=>[1,2,3,7,6,5,4]=>{{1},{2},{3},{4,7},{5,6}}=>1
[1,2,3,6,7,5,4]=>[1,2,3,7,6,4,5]=>{{1},{2},{3},{4,5,6,7}}=>0
[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>{{1},{2},{3},{4,5,6,7}}=>0
[1,2,3,7,4,6,5]=>[1,2,3,6,4,7,5]=>{{1},{2},{3},{4,5,6,7}}=>0
[1,2,3,7,5,4,6]=>[1,2,3,5,7,4,6]=>{{1},{2},{3},{4,5,6,7}}=>0
[1,2,3,7,5,6,4]=>[1,2,3,5,6,7,4]=>{{1},{2},{3},{4,5,6,7}}=>0
[1,2,3,7,6,4,5]=>[1,2,3,6,7,5,4]=>{{1},{2},{3},{4,5,6,7}}=>0
[1,2,3,7,6,5,4]=>[1,2,3,6,7,4,5]=>{{1},{2},{3},{4,6},{5,7}}=>0
[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>{{1},{2},{3,4},{5},{6},{7}}=>0
[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]=>{{1},{2},{3,4},{5},{6,7}}=>0
[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>{{1},{2},{3,4},{5,6},{7}}=>0
[1,2,4,3,6,7,5]=>[1,2,4,3,7,6,5]=>{{1},{2},{3,4},{5,7},{6}}=>1
[1,2,4,3,7,5,6]=>[1,2,4,3,7,5,6]=>{{1},{2},{3,4},{5,6,7}}=>0
[1,2,4,3,7,6,5]=>[1,2,4,3,6,7,5]=>{{1},{2},{3,4},{5,6,7}}=>0
[1,2,4,5,3,6,7]=>[1,2,5,4,3,6,7]=>{{1},{2},{3,5},{4},{6},{7}}=>1
[1,2,4,5,3,7,6]=>[1,2,5,4,3,7,6]=>{{1},{2},{3,5},{4},{6,7}}=>1
[1,2,4,5,6,3,7]=>[1,2,6,4,5,3,7]=>{{1},{2},{3,6},{4},{5},{7}}=>2
[1,2,4,5,6,7,3]=>[1,2,7,4,5,6,3]=>{{1},{2},{3,7},{4},{5},{6}}=>3
[1,2,4,5,7,3,6]=>[1,2,7,4,5,3,6]=>{{1},{2},{3,6,7},{4},{5}}=>4
[1,2,4,5,7,6,3]=>[1,2,6,4,5,7,3]=>{{1},{2},{3,6,7},{4},{5}}=>4
[1,2,4,6,3,5,7]=>[1,2,6,4,3,5,7]=>{{1},{2},{3,5,6},{4},{7}}=>2
[1,2,4,6,3,7,5]=>[1,2,7,4,3,6,5]=>{{1},{2},{3,5,7},{4},{6}}=>3
[1,2,4,6,5,3,7]=>[1,2,5,4,6,3,7]=>{{1},{2},{3,5,6},{4},{7}}=>2
[1,2,4,6,5,7,3]=>[1,2,5,4,7,6,3]=>{{1},{2},{3,5,7},{4},{6}}=>3
[1,2,4,6,7,3,5]=>[1,2,7,4,6,5,3]=>{{1},{2},{3,7},{4},{5,6}}=>2
[1,2,4,6,7,5,3]=>[1,2,7,4,6,3,5]=>{{1},{2},{3,5,6,7},{4}}=>3
[1,2,4,7,3,5,6]=>[1,2,7,4,3,5,6]=>{{1},{2},{3,5,6,7},{4}}=>3
[1,2,4,7,3,6,5]=>[1,2,6,4,3,7,5]=>{{1},{2},{3,5,6,7},{4}}=>3
[1,2,4,7,5,3,6]=>[1,2,5,4,7,3,6]=>{{1},{2},{3,5,6,7},{4}}=>3
[1,2,4,7,5,6,3]=>[1,2,5,4,6,7,3]=>{{1},{2},{3,5,6,7},{4}}=>3
[1,2,4,7,6,3,5]=>[1,2,6,4,7,5,3]=>{{1},{2},{3,5,6,7},{4}}=>3
[1,2,4,7,6,5,3]=>[1,2,6,4,7,3,5]=>{{1},{2},{3,6},{4},{5,7}}=>1
[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>{{1},{2},{3,4,5},{6},{7}}=>0
[1,2,5,3,4,7,6]=>[1,2,5,3,4,7,6]=>{{1},{2},{3,4,5},{6,7}}=>0
[1,2,5,3,6,4,7]=>[1,2,6,3,5,4,7]=>{{1},{2},{3,4,6},{5},{7}}=>1
[1,2,5,3,6,7,4]=>[1,2,7,3,5,6,4]=>{{1},{2},{3,4,7},{5},{6}}=>2
[1,2,5,3,7,4,6]=>[1,2,7,3,5,4,6]=>{{1},{2},{3,4,6,7},{5}}=>2
[1,2,5,3,7,6,4]=>[1,2,6,3,5,7,4]=>{{1},{2},{3,4,6,7},{5}}=>2
[1,2,5,4,3,6,7]=>[1,2,4,5,3,6,7]=>{{1},{2},{3,4,5},{6},{7}}=>0
[1,2,5,4,3,7,6]=>[1,2,4,5,3,7,6]=>{{1},{2},{3,4,5},{6,7}}=>0
[1,2,5,4,6,3,7]=>[1,2,4,6,5,3,7]=>{{1},{2},{3,4,6},{5},{7}}=>1
[1,2,5,4,6,7,3]=>[1,2,4,7,5,6,3]=>{{1},{2},{3,4,7},{5},{6}}=>2
[1,2,5,4,7,3,6]=>[1,2,4,7,5,3,6]=>{{1},{2},{3,4,6,7},{5}}=>2
[1,2,5,4,7,6,3]=>[1,2,4,6,5,7,3]=>{{1},{2},{3,4,6,7},{5}}=>2
[1,2,5,6,3,4,7]=>[1,2,6,5,4,3,7]=>{{1},{2},{3,6},{4,5},{7}}=>1
[1,2,5,6,3,7,4]=>[1,2,7,5,4,6,3]=>{{1},{2},{3,7},{4,5},{6}}=>2
[1,2,5,6,4,3,7]=>[1,2,6,5,3,4,7]=>{{1},{2},{3,4,5,6},{7}}=>0
[1,2,5,6,4,7,3]=>[1,2,7,5,3,6,4]=>{{1},{2},{3,4,5,7},{6}}=>1
[1,2,5,6,7,3,4]=>[1,2,7,6,5,4,3]=>{{1},{2},{3,7},{4,6},{5}}=>3
[1,2,5,6,7,4,3]=>[1,2,7,6,5,3,4]=>{{1},{2},{3,4,6,7},{5}}=>2
[1,2,5,7,3,4,6]=>[1,2,7,5,4,3,6]=>{{1},{2},{3,6,7},{4,5}}=>2
[1,2,5,7,3,6,4]=>[1,2,6,5,4,7,3]=>{{1},{2},{3,6,7},{4,5}}=>2
[1,2,5,7,4,3,6]=>[1,2,7,5,3,4,6]=>{{1},{2},{3,4,5,6,7}}=>0
[1,2,5,7,4,6,3]=>[1,2,6,5,3,7,4]=>{{1},{2},{3,4,5,6,7}}=>0
[1,2,5,7,6,3,4]=>[1,2,7,5,6,4,3]=>{{1},{2},{3,7},{4,5,6}}=>1
[1,2,5,7,6,4,3]=>[1,2,7,5,6,3,4]=>{{1},{2},{3,4,5,6,7}}=>0
[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>{{1},{2},{3,4,5,6},{7}}=>0
[1,2,6,3,4,7,5]=>[1,2,7,3,4,6,5]=>{{1},{2},{3,4,5,7},{6}}=>1
[1,2,6,3,5,4,7]=>[1,2,5,3,6,4,7]=>{{1},{2},{3,4,5,6},{7}}=>0
[1,2,6,3,5,7,4]=>[1,2,5,3,7,6,4]=>{{1},{2},{3,4,5,7},{6}}=>1
[1,2,6,3,7,4,5]=>[1,2,7,3,6,5,4]=>{{1},{2},{3,4,7},{5,6}}=>1
[1,2,6,3,7,5,4]=>[1,2,7,3,6,4,5]=>{{1},{2},{3,4,5,6,7}}=>0
[1,2,6,4,3,5,7]=>[1,2,4,6,3,5,7]=>{{1},{2},{3,4,5,6},{7}}=>0
[1,2,6,4,3,7,5]=>[1,2,4,7,3,6,5]=>{{1},{2},{3,4,5,7},{6}}=>1
[1,2,6,4,5,3,7]=>[1,2,4,5,6,3,7]=>{{1},{2},{3,4,5,6},{7}}=>0
[1,2,6,4,5,7,3]=>[1,2,4,5,7,6,3]=>{{1},{2},{3,4,5,7},{6}}=>1
[1,2,6,4,7,3,5]=>[1,2,4,7,6,5,3]=>{{1},{2},{3,4,7},{5,6}}=>1
[1,2,6,4,7,5,3]=>[1,2,4,7,6,3,5]=>{{1},{2},{3,4,5,6,7}}=>0
[1,2,6,5,3,4,7]=>[1,2,5,6,4,3,7]=>{{1},{2},{3,4,5,6},{7}}=>0
[1,2,6,5,3,7,4]=>[1,2,5,7,4,6,3]=>{{1},{2},{3,4,5,7},{6}}=>1
[1,2,6,5,4,3,7]=>[1,2,5,6,3,4,7]=>{{1},{2},{3,5},{4,6},{7}}=>0
[1,2,6,5,4,7,3]=>[1,2,5,7,3,6,4]=>{{1},{2},{3,5},{4,7},{6}}=>1
[1,2,6,5,7,3,4]=>[1,2,6,7,5,4,3]=>{{1},{2},{3,4,6,7},{5}}=>2
[1,2,6,5,7,4,3]=>[1,2,6,7,5,3,4]=>{{1},{2},{3,6},{4,7},{5}}=>2
[1,2,6,7,3,4,5]=>[1,2,7,6,4,5,3]=>{{1},{2},{3,7},{4,5,6}}=>1
[1,2,6,7,3,5,4]=>[1,2,7,6,4,3,5]=>{{1},{2},{3,4,5,6,7}}=>0
[1,2,6,7,4,3,5]=>[1,2,7,6,3,5,4]=>{{1},{2},{3,4,5,6,7}}=>0
[1,2,6,7,4,5,3]=>[1,2,7,6,3,4,5]=>{{1},{2},{3,5,7},{4,6}}=>1
[1,2,6,7,5,3,4]=>[1,2,6,5,7,4,3]=>{{1},{2},{3,4,5,6,7}}=>0
[1,2,6,7,5,4,3]=>[1,2,6,5,7,3,4]=>{{1},{2},{3,6},{4,5,7}}=>0
[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>{{1},{2},{3,4,5,6,7}}=>0
[1,2,7,3,4,6,5]=>[1,2,6,3,4,7,5]=>{{1},{2},{3,4,5,6,7}}=>0
[1,2,7,3,5,4,6]=>[1,2,5,3,7,4,6]=>{{1},{2},{3,4,5,6,7}}=>0
[1,2,7,3,5,6,4]=>[1,2,5,3,6,7,4]=>{{1},{2},{3,4,5,6,7}}=>0
[1,2,7,3,6,4,5]=>[1,2,6,3,7,5,4]=>{{1},{2},{3,4,5,6,7}}=>0
[1,2,7,3,6,5,4]=>[1,2,6,3,7,4,5]=>{{1},{2},{3,4,6},{5,7}}=>0
[1,2,7,4,3,5,6]=>[1,2,4,7,3,5,6]=>{{1},{2},{3,4,5,6,7}}=>0
[1,2,7,4,3,6,5]=>[1,2,4,6,3,7,5]=>{{1},{2},{3,4,5,6,7}}=>0
[1,2,7,4,5,3,6]=>[1,2,4,5,7,3,6]=>{{1},{2},{3,4,5,6,7}}=>0
[1,2,7,4,5,6,3]=>[1,2,4,5,6,7,3]=>{{1},{2},{3,4,5,6,7}}=>0
[1,2,7,4,6,3,5]=>[1,2,4,6,7,5,3]=>{{1},{2},{3,4,5,6,7}}=>0
[1,2,7,4,6,5,3]=>[1,2,4,6,7,3,5]=>{{1},{2},{3,4,6},{5,7}}=>0
[1,2,7,5,3,4,6]=>[1,2,5,7,4,3,6]=>{{1},{2},{3,4,5,6,7}}=>0
[1,2,7,5,3,6,4]=>[1,2,5,6,4,7,3]=>{{1},{2},{3,4,5,6,7}}=>0
[1,2,7,5,4,3,6]=>[1,2,5,7,3,4,6]=>{{1},{2},{3,5},{4,6,7}}=>0
[1,2,7,5,4,6,3]=>[1,2,5,6,3,7,4]=>{{1},{2},{3,5},{4,6,7}}=>0
[1,2,7,5,6,3,4]=>[1,2,5,7,6,4,3]=>{{1},{2},{3,4,5,6,7}}=>0
[1,2,7,5,6,4,3]=>[1,2,5,7,6,3,4]=>{{1},{2},{3,5,6},{4,7}}=>0
[1,2,7,6,3,4,5]=>[1,2,6,7,4,5,3]=>{{1},{2},{3,4,5,6,7}}=>0
[1,2,7,6,3,5,4]=>[1,2,6,7,4,3,5]=>{{1},{2},{3,6},{4,5,7}}=>0
[1,2,7,6,4,3,5]=>[1,2,6,7,3,5,4]=>{{1},{2},{3,5,6},{4,7}}=>0
[1,2,7,6,4,5,3]=>[1,2,6,7,3,4,5]=>{{1},{2},{3,4,5,6,7}}=>0
[1,2,7,6,5,3,4]=>[1,2,5,6,7,4,3]=>{{1},{2},{3,5,7},{4,6}}=>1
[1,2,7,6,5,4,3]=>[1,2,5,6,7,3,4]=>{{1},{2},{3,4,5,6,7}}=>0
[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>{{1},{2,3},{4},{5},{6},{7}}=>0
[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>{{1},{2,3},{4},{5},{6,7}}=>0
[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>{{1},{2,3},{4},{5,6},{7}}=>0
[1,3,2,4,6,7,5]=>[1,3,2,4,7,6,5]=>{{1},{2,3},{4},{5,7},{6}}=>1
[1,3,2,4,7,5,6]=>[1,3,2,4,7,5,6]=>{{1},{2,3},{4},{5,6,7}}=>0
[1,3,2,4,7,6,5]=>[1,3,2,4,6,7,5]=>{{1},{2,3},{4},{5,6,7}}=>0
[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>{{1},{2,3},{4,5},{6},{7}}=>0
[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>{{1},{2,3},{4,5},{6,7}}=>0
[1,3,2,5,6,4,7]=>[1,3,2,6,5,4,7]=>{{1},{2,3},{4,6},{5},{7}}=>1
[1,3,2,5,6,7,4]=>[1,3,2,7,5,6,4]=>{{1},{2,3},{4,7},{5},{6}}=>2
[1,3,2,5,7,4,6]=>[1,3,2,7,5,4,6]=>{{1},{2,3},{4,6,7},{5}}=>2
[1,3,2,5,7,6,4]=>[1,3,2,6,5,7,4]=>{{1},{2,3},{4,6,7},{5}}=>2
[1,3,2,6,4,5,7]=>[1,3,2,6,4,5,7]=>{{1},{2,3},{4,5,6},{7}}=>0
[1,3,2,6,4,7,5]=>[1,3,2,7,4,6,5]=>{{1},{2,3},{4,5,7},{6}}=>1
[1,3,2,6,5,4,7]=>[1,3,2,5,6,4,7]=>{{1},{2,3},{4,5,6},{7}}=>0
[1,3,2,6,5,7,4]=>[1,3,2,5,7,6,4]=>{{1},{2,3},{4,5,7},{6}}=>1
[1,3,2,6,7,4,5]=>[1,3,2,7,6,5,4]=>{{1},{2,3},{4,7},{5,6}}=>1
[1,3,2,6,7,5,4]=>[1,3,2,7,6,4,5]=>{{1},{2,3},{4,5,6,7}}=>0
[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>{{1},{2,3},{4,5,6,7}}=>0
[1,3,2,7,4,6,5]=>[1,3,2,6,4,7,5]=>{{1},{2,3},{4,5,6,7}}=>0
[1,3,2,7,5,4,6]=>[1,3,2,5,7,4,6]=>{{1},{2,3},{4,5,6,7}}=>0
[1,3,2,7,5,6,4]=>[1,3,2,5,6,7,4]=>{{1},{2,3},{4,5,6,7}}=>0
[1,3,2,7,6,4,5]=>[1,3,2,6,7,5,4]=>{{1},{2,3},{4,5,6,7}}=>0
[1,3,2,7,6,5,4]=>[1,3,2,6,7,4,5]=>{{1},{2,3},{4,6},{5,7}}=>0
[1,3,4,2,5,6,7]=>[1,4,3,2,5,6,7]=>{{1},{2,4},{3},{5},{6},{7}}=>1
[1,3,4,2,5,7,6]=>[1,4,3,2,5,7,6]=>{{1},{2,4},{3},{5},{6,7}}=>1
[1,3,4,2,6,5,7]=>[1,4,3,2,6,5,7]=>{{1},{2,4},{3},{5,6},{7}}=>1
[1,3,4,2,6,7,5]=>[1,4,3,2,7,6,5]=>{{1},{2,4},{3},{5,7},{6}}=>2
[1,3,4,2,7,5,6]=>[1,4,3,2,7,5,6]=>{{1},{2,4},{3},{5,6,7}}=>1
[1,3,4,2,7,6,5]=>[1,4,3,2,6,7,5]=>{{1},{2,4},{3},{5,6,7}}=>1
[1,3,4,5,2,6,7]=>[1,5,3,4,2,6,7]=>{{1},{2,5},{3},{4},{6},{7}}=>2
[1,3,4,5,2,7,6]=>[1,5,3,4,2,7,6]=>{{1},{2,5},{3},{4},{6,7}}=>2
[1,3,4,5,6,2,7]=>[1,6,3,4,5,2,7]=>{{1},{2,6},{3},{4},{5},{7}}=>3
[1,3,4,5,6,7,2]=>[1,7,3,4,5,6,2]=>{{1},{2,7},{3},{4},{5},{6}}=>4
[1,3,4,5,7,2,6]=>[1,7,3,4,5,2,6]=>{{1},{2,6,7},{3},{4},{5}}=>6
[1,3,4,5,7,6,2]=>[1,6,3,4,5,7,2]=>{{1},{2,6,7},{3},{4},{5}}=>6
[1,3,4,6,2,5,7]=>[1,6,3,4,2,5,7]=>{{1},{2,5,6},{3},{4},{7}}=>4
[1,3,4,6,2,7,5]=>[1,7,3,4,2,6,5]=>{{1},{2,5,7},{3},{4},{6}}=>5
[1,3,4,6,5,2,7]=>[1,5,3,4,6,2,7]=>{{1},{2,5,6},{3},{4},{7}}=>4
[1,3,4,6,5,7,2]=>[1,5,3,4,7,6,2]=>{{1},{2,5,7},{3},{4},{6}}=>5
[1,3,4,6,7,2,5]=>[1,7,3,4,6,5,2]=>{{1},{2,7},{3},{4},{5,6}}=>3
[1,3,4,6,7,5,2]=>[1,7,3,4,6,2,5]=>{{1},{2,5,6,7},{3},{4}}=>6
[1,3,4,7,2,5,6]=>[1,7,3,4,2,5,6]=>{{1},{2,5,6,7},{3},{4}}=>6
[1,3,4,7,2,6,5]=>[1,6,3,4,2,7,5]=>{{1},{2,5,6,7},{3},{4}}=>6
[1,3,4,7,5,2,6]=>[1,5,3,4,7,2,6]=>{{1},{2,5,6,7},{3},{4}}=>6
[1,3,4,7,5,6,2]=>[1,5,3,4,6,7,2]=>{{1},{2,5,6,7},{3},{4}}=>6
[1,3,4,7,6,2,5]=>[1,6,3,4,7,5,2]=>{{1},{2,5,6,7},{3},{4}}=>6
[1,3,4,7,6,5,2]=>[1,6,3,4,7,2,5]=>{{1},{2,6},{3},{4},{5,7}}=>2
[1,3,5,2,4,6,7]=>[1,5,3,2,4,6,7]=>{{1},{2,4,5},{3},{6},{7}}=>2
[1,3,5,2,4,7,6]=>[1,5,3,2,4,7,6]=>{{1},{2,4,5},{3},{6,7}}=>2
[1,3,5,2,6,4,7]=>[1,6,3,2,5,4,7]=>{{1},{2,4,6},{3},{5},{7}}=>3
[1,3,5,2,6,7,4]=>[1,7,3,2,5,6,4]=>{{1},{2,4,7},{3},{5},{6}}=>4
[1,3,5,2,7,4,6]=>[1,7,3,2,5,4,6]=>{{1},{2,4,6,7},{3},{5}}=>5
[1,3,5,2,7,6,4]=>[1,6,3,2,5,7,4]=>{{1},{2,4,6,7},{3},{5}}=>5
[1,3,5,4,2,6,7]=>[1,4,3,5,2,6,7]=>{{1},{2,4,5},{3},{6},{7}}=>2
[1,3,5,4,2,7,6]=>[1,4,3,5,2,7,6]=>{{1},{2,4,5},{3},{6,7}}=>2
[1,3,5,4,6,2,7]=>[1,4,3,6,5,2,7]=>{{1},{2,4,6},{3},{5},{7}}=>3
[1,3,5,4,6,7,2]=>[1,4,3,7,5,6,2]=>{{1},{2,4,7},{3},{5},{6}}=>4
[1,3,5,4,7,2,6]=>[1,4,3,7,5,2,6]=>{{1},{2,4,6,7},{3},{5}}=>5
[1,3,5,4,7,6,2]=>[1,4,3,6,5,7,2]=>{{1},{2,4,6,7},{3},{5}}=>5
[1,3,5,6,2,4,7]=>[1,6,3,5,4,2,7]=>{{1},{2,6},{3},{4,5},{7}}=>2
[1,3,5,6,2,7,4]=>[1,7,3,5,4,6,2]=>{{1},{2,7},{3},{4,5},{6}}=>3
[1,3,5,6,4,2,7]=>[1,6,3,5,2,4,7]=>{{1},{2,4,5,6},{3},{7}}=>3
[1,3,5,6,4,7,2]=>[1,7,3,5,2,6,4]=>{{1},{2,4,5,7},{3},{6}}=>4
[1,3,5,6,7,2,4]=>[1,7,3,6,5,4,2]=>{{1},{2,7},{3},{4,6},{5}}=>4
[1,3,5,6,7,4,2]=>[1,7,3,6,5,2,4]=>{{1},{2,4,6,7},{3},{5}}=>5
[1,3,5,7,2,4,6]=>[1,7,3,5,4,2,6]=>{{1},{2,6,7},{3},{4,5}}=>4
[1,3,5,7,2,6,4]=>[1,6,3,5,4,7,2]=>{{1},{2,6,7},{3},{4,5}}=>4
[1,3,5,7,4,2,6]=>[1,7,3,5,2,4,6]=>{{1},{2,4,5,6,7},{3}}=>4
[1,3,5,7,4,6,2]=>[1,6,3,5,2,7,4]=>{{1},{2,4,5,6,7},{3}}=>4
[1,3,5,7,6,2,4]=>[1,7,3,5,6,4,2]=>{{1},{2,7},{3},{4,5,6}}=>2
[1,3,5,7,6,4,2]=>[1,7,3,5,6,2,4]=>{{1},{2,4,5,6,7},{3}}=>4
[1,3,6,2,4,5,7]=>[1,6,3,2,4,5,7]=>{{1},{2,4,5,6},{3},{7}}=>3
[1,3,6,2,4,7,5]=>[1,7,3,2,4,6,5]=>{{1},{2,4,5,7},{3},{6}}=>4
[1,3,6,2,5,4,7]=>[1,5,3,2,6,4,7]=>{{1},{2,4,5,6},{3},{7}}=>3
[1,3,6,2,5,7,4]=>[1,5,3,2,7,6,4]=>{{1},{2,4,5,7},{3},{6}}=>4
[1,3,6,2,7,4,5]=>[1,7,3,2,6,5,4]=>{{1},{2,4,7},{3},{5,6}}=>3
[1,3,6,2,7,5,4]=>[1,7,3,2,6,4,5]=>{{1},{2,4,5,6,7},{3}}=>4
[1,3,6,4,2,5,7]=>[1,4,3,6,2,5,7]=>{{1},{2,4,5,6},{3},{7}}=>3
[1,3,6,4,2,7,5]=>[1,4,3,7,2,6,5]=>{{1},{2,4,5,7},{3},{6}}=>4
[1,3,6,4,5,2,7]=>[1,4,3,5,6,2,7]=>{{1},{2,4,5,6},{3},{7}}=>3
[1,3,6,4,5,7,2]=>[1,4,3,5,7,6,2]=>{{1},{2,4,5,7},{3},{6}}=>4
[1,3,6,4,7,2,5]=>[1,4,3,7,6,5,2]=>{{1},{2,4,7},{3},{5,6}}=>3
[1,3,6,4,7,5,2]=>[1,4,3,7,6,2,5]=>{{1},{2,4,5,6,7},{3}}=>4
[1,3,6,5,2,4,7]=>[1,5,3,6,4,2,7]=>{{1},{2,4,5,6},{3},{7}}=>3
[1,3,6,5,2,7,4]=>[1,5,3,7,4,6,2]=>{{1},{2,4,5,7},{3},{6}}=>4
[1,3,6,5,4,2,7]=>[1,5,3,6,2,4,7]=>{{1},{2,5},{3},{4,6},{7}}=>1
[1,3,6,5,4,7,2]=>[1,5,3,7,2,6,4]=>{{1},{2,5},{3},{4,7},{6}}=>2
[1,3,6,5,7,2,4]=>[1,6,3,7,5,4,2]=>{{1},{2,4,6,7},{3},{5}}=>5
[1,3,6,5,7,4,2]=>[1,6,3,7,5,2,4]=>{{1},{2,6},{3},{4,7},{5}}=>3
[1,3,6,7,2,4,5]=>[1,7,3,6,4,5,2]=>{{1},{2,7},{3},{4,5,6}}=>2
[1,3,6,7,2,5,4]=>[1,7,3,6,4,2,5]=>{{1},{2,4,5,6,7},{3}}=>4
[1,3,6,7,4,2,5]=>[1,7,3,6,2,5,4]=>{{1},{2,4,5,6,7},{3}}=>4
[1,3,6,7,4,5,2]=>[1,7,3,6,2,4,5]=>{{1},{2,5,7},{3},{4,6}}=>3
[1,3,6,7,5,2,4]=>[1,6,3,5,7,4,2]=>{{1},{2,4,5,6,7},{3}}=>4
[1,3,6,7,5,4,2]=>[1,6,3,5,7,2,4]=>{{1},{2,6},{3},{4,5,7}}=>1
[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>{{1},{2,4,5,6,7},{3}}=>4
[1,3,7,2,4,6,5]=>[1,6,3,2,4,7,5]=>{{1},{2,4,5,6,7},{3}}=>4
[1,3,7,2,5,4,6]=>[1,5,3,2,7,4,6]=>{{1},{2,4,5,6,7},{3}}=>4
[1,3,7,2,5,6,4]=>[1,5,3,2,6,7,4]=>{{1},{2,4,5,6,7},{3}}=>4
[1,3,7,2,6,4,5]=>[1,6,3,2,7,5,4]=>{{1},{2,4,5,6,7},{3}}=>4
[1,3,7,2,6,5,4]=>[1,6,3,2,7,4,5]=>{{1},{2,4,6},{3},{5,7}}=>2
[1,3,7,4,2,5,6]=>[1,4,3,7,2,5,6]=>{{1},{2,4,5,6,7},{3}}=>4
[1,3,7,4,2,6,5]=>[1,4,3,6,2,7,5]=>{{1},{2,4,5,6,7},{3}}=>4
[1,3,7,4,5,2,6]=>[1,4,3,5,7,2,6]=>{{1},{2,4,5,6,7},{3}}=>4
[1,3,7,4,5,6,2]=>[1,4,3,5,6,7,2]=>{{1},{2,4,5,6,7},{3}}=>4
[1,3,7,4,6,2,5]=>[1,4,3,6,7,5,2]=>{{1},{2,4,5,6,7},{3}}=>4
[1,3,7,4,6,5,2]=>[1,4,3,6,7,2,5]=>{{1},{2,4,6},{3},{5,7}}=>2
[1,3,7,5,2,4,6]=>[1,5,3,7,4,2,6]=>{{1},{2,4,5,6,7},{3}}=>4
[1,3,7,5,2,6,4]=>[1,5,3,6,4,7,2]=>{{1},{2,4,5,6,7},{3}}=>4
[1,3,7,5,4,2,6]=>[1,5,3,7,2,4,6]=>{{1},{2,5},{3},{4,6,7}}=>1
[1,3,7,5,4,6,2]=>[1,5,3,6,2,7,4]=>{{1},{2,5},{3},{4,6,7}}=>1
[1,3,7,5,6,2,4]=>[1,5,3,7,6,4,2]=>{{1},{2,4,5,6,7},{3}}=>4
[1,3,7,5,6,4,2]=>[1,5,3,7,6,2,4]=>{{1},{2,5,6},{3},{4,7}}=>2
[1,3,7,6,2,4,5]=>[1,6,3,7,4,5,2]=>{{1},{2,4,5,6,7},{3}}=>4
[1,3,7,6,2,5,4]=>[1,6,3,7,4,2,5]=>{{1},{2,6},{3},{4,5,7}}=>1
[1,3,7,6,4,2,5]=>[1,6,3,7,2,5,4]=>{{1},{2,5,6},{3},{4,7}}=>2
[1,3,7,6,4,5,2]=>[1,6,3,7,2,4,5]=>{{1},{2,4,5,6,7},{3}}=>4
[1,3,7,6,5,2,4]=>[1,5,3,6,7,4,2]=>{{1},{2,5,7},{3},{4,6}}=>3
[1,3,7,6,5,4,2]=>[1,5,3,6,7,2,4]=>{{1},{2,4,5,6,7},{3}}=>4
[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>{{1},{2,3,4},{5},{6},{7}}=>0
[1,4,2,3,5,7,6]=>[1,4,2,3,5,7,6]=>{{1},{2,3,4},{5},{6,7}}=>0
[1,4,2,3,6,5,7]=>[1,4,2,3,6,5,7]=>{{1},{2,3,4},{5,6},{7}}=>0
[1,4,2,3,6,7,5]=>[1,4,2,3,7,6,5]=>{{1},{2,3,4},{5,7},{6}}=>1
[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>{{1},{2,3,4},{5,6,7}}=>0
[1,4,2,3,7,6,5]=>[1,4,2,3,6,7,5]=>{{1},{2,3,4},{5,6,7}}=>0
[1,4,2,5,3,6,7]=>[1,5,2,4,3,6,7]=>{{1},{2,3,5},{4},{6},{7}}=>1
[1,4,2,5,3,7,6]=>[1,5,2,4,3,7,6]=>{{1},{2,3,5},{4},{6,7}}=>1
[1,4,2,5,6,3,7]=>[1,6,2,4,5,3,7]=>{{1},{2,3,6},{4},{5},{7}}=>2
[1,4,2,5,6,7,3]=>[1,7,2,4,5,6,3]=>{{1},{2,3,7},{4},{5},{6}}=>3
[1,4,2,5,7,3,6]=>[1,7,2,4,5,3,6]=>{{1},{2,3,6,7},{4},{5}}=>4
[1,4,2,5,7,6,3]=>[1,6,2,4,5,7,3]=>{{1},{2,3,6,7},{4},{5}}=>4
[1,4,2,6,3,5,7]=>[1,6,2,4,3,5,7]=>{{1},{2,3,5,6},{4},{7}}=>2
[1,4,2,6,3,7,5]=>[1,7,2,4,3,6,5]=>{{1},{2,3,5,7},{4},{6}}=>3
[1,4,2,6,5,3,7]=>[1,5,2,4,6,3,7]=>{{1},{2,3,5,6},{4},{7}}=>2
[1,4,2,6,5,7,3]=>[1,5,2,4,7,6,3]=>{{1},{2,3,5,7},{4},{6}}=>3
[1,4,2,6,7,3,5]=>[1,7,2,4,6,5,3]=>{{1},{2,3,7},{4},{5,6}}=>2
[1,4,2,6,7,5,3]=>[1,7,2,4,6,3,5]=>{{1},{2,3,5,6,7},{4}}=>3
[1,4,2,7,3,5,6]=>[1,7,2,4,3,5,6]=>{{1},{2,3,5,6,7},{4}}=>3
[1,4,2,7,3,6,5]=>[1,6,2,4,3,7,5]=>{{1},{2,3,5,6,7},{4}}=>3
[1,4,2,7,5,3,6]=>[1,5,2,4,7,3,6]=>{{1},{2,3,5,6,7},{4}}=>3
[1,4,2,7,5,6,3]=>[1,5,2,4,6,7,3]=>{{1},{2,3,5,6,7},{4}}=>3
[1,4,2,7,6,3,5]=>[1,6,2,4,7,5,3]=>{{1},{2,3,5,6,7},{4}}=>3
[1,4,2,7,6,5,3]=>[1,6,2,4,7,3,5]=>{{1},{2,3,6},{4},{5,7}}=>1
[1,4,3,2,5,6,7]=>[1,3,4,2,5,6,7]=>{{1},{2,3,4},{5},{6},{7}}=>0
[1,4,3,2,5,7,6]=>[1,3,4,2,5,7,6]=>{{1},{2,3,4},{5},{6,7}}=>0
[1,4,3,2,6,5,7]=>[1,3,4,2,6,5,7]=>{{1},{2,3,4},{5,6},{7}}=>0
[1,4,3,2,6,7,5]=>[1,3,4,2,7,6,5]=>{{1},{2,3,4},{5,7},{6}}=>1
[1,4,3,2,7,5,6]=>[1,3,4,2,7,5,6]=>{{1},{2,3,4},{5,6,7}}=>0
[1,4,3,2,7,6,5]=>[1,3,4,2,6,7,5]=>{{1},{2,3,4},{5,6,7}}=>0
[1,4,3,5,2,6,7]=>[1,3,5,4,2,6,7]=>{{1},{2,3,5},{4},{6},{7}}=>1
[1,4,3,5,2,7,6]=>[1,3,5,4,2,7,6]=>{{1},{2,3,5},{4},{6,7}}=>1
[1,4,3,5,6,2,7]=>[1,3,6,4,5,2,7]=>{{1},{2,3,6},{4},{5},{7}}=>2
[1,4,3,5,6,7,2]=>[1,3,7,4,5,6,2]=>{{1},{2,3,7},{4},{5},{6}}=>3
[1,4,3,5,7,2,6]=>[1,3,7,4,5,2,6]=>{{1},{2,3,6,7},{4},{5}}=>4
[1,4,3,5,7,6,2]=>[1,3,6,4,5,7,2]=>{{1},{2,3,6,7},{4},{5}}=>4
[1,4,3,6,2,5,7]=>[1,3,6,4,2,5,7]=>{{1},{2,3,5,6},{4},{7}}=>2
[1,4,3,6,2,7,5]=>[1,3,7,4,2,6,5]=>{{1},{2,3,5,7},{4},{6}}=>3
[1,4,3,6,5,2,7]=>[1,3,5,4,6,2,7]=>{{1},{2,3,5,6},{4},{7}}=>2
[1,4,3,6,5,7,2]=>[1,3,5,4,7,6,2]=>{{1},{2,3,5,7},{4},{6}}=>3
[1,4,3,6,7,2,5]=>[1,3,7,4,6,5,2]=>{{1},{2,3,7},{4},{5,6}}=>2
[1,4,3,6,7,5,2]=>[1,3,7,4,6,2,5]=>{{1},{2,3,5,6,7},{4}}=>3
[1,4,3,7,2,5,6]=>[1,3,7,4,2,5,6]=>{{1},{2,3,5,6,7},{4}}=>3
[1,4,3,7,2,6,5]=>[1,3,6,4,2,7,5]=>{{1},{2,3,5,6,7},{4}}=>3
[1,4,3,7,5,2,6]=>[1,3,5,4,7,2,6]=>{{1},{2,3,5,6,7},{4}}=>3
[1,4,3,7,5,6,2]=>[1,3,5,4,6,7,2]=>{{1},{2,3,5,6,7},{4}}=>3
[1,4,3,7,6,2,5]=>[1,3,6,4,7,5,2]=>{{1},{2,3,5,6,7},{4}}=>3
[1,4,3,7,6,5,2]=>[1,3,6,4,7,2,5]=>{{1},{2,3,6},{4},{5,7}}=>1
[1,4,5,2,3,6,7]=>[1,5,4,3,2,6,7]=>{{1},{2,5},{3,4},{6},{7}}=>1
[1,4,5,2,3,7,6]=>[1,5,4,3,2,7,6]=>{{1},{2,5},{3,4},{6,7}}=>1
[1,4,5,2,6,3,7]=>[1,6,4,3,5,2,7]=>{{1},{2,6},{3,4},{5},{7}}=>2
[1,4,5,2,6,7,3]=>[1,7,4,3,5,6,2]=>{{1},{2,7},{3,4},{5},{6}}=>3
[1,4,5,2,7,3,6]=>[1,7,4,3,5,2,6]=>{{1},{2,6,7},{3,4},{5}}=>4
[1,4,5,2,7,6,3]=>[1,6,4,3,5,7,2]=>{{1},{2,6,7},{3,4},{5}}=>4
[1,4,5,3,2,6,7]=>[1,5,4,2,3,6,7]=>{{1},{2,3,4,5},{6},{7}}=>0
[1,4,5,3,2,7,6]=>[1,5,4,2,3,7,6]=>{{1},{2,3,4,5},{6,7}}=>0
[1,4,5,3,6,2,7]=>[1,6,4,2,5,3,7]=>{{1},{2,3,4,6},{5},{7}}=>1
[1,4,5,3,6,7,2]=>[1,7,4,2,5,6,3]=>{{1},{2,3,4,7},{5},{6}}=>2
[1,4,5,3,7,2,6]=>[1,7,4,2,5,3,6]=>{{1},{2,3,4,6,7},{5}}=>2
[1,4,5,3,7,6,2]=>[1,6,4,2,5,7,3]=>{{1},{2,3,4,6,7},{5}}=>2
[1,4,5,6,2,3,7]=>[1,6,5,4,3,2,7]=>{{1},{2,6},{3,5},{4},{7}}=>3
[1,4,5,6,2,7,3]=>[1,7,5,4,3,6,2]=>{{1},{2,7},{3,5},{4},{6}}=>4
[1,4,5,6,3,2,7]=>[1,6,5,4,2,3,7]=>{{1},{2,3,5,6},{4},{7}}=>2
[1,4,5,6,3,7,2]=>[1,7,5,4,2,6,3]=>{{1},{2,3,5,7},{4},{6}}=>3
[1,4,5,6,7,2,3]=>[1,7,6,4,5,3,2]=>{{1},{2,7},{3,6},{4},{5}}=>5
[1,4,5,6,7,3,2]=>[1,7,6,4,5,2,3]=>{{1},{2,3,6,7},{4},{5}}=>4
[1,4,5,7,2,3,6]=>[1,7,5,4,3,2,6]=>{{1},{2,6,7},{3,5},{4}}=>5
[1,4,5,7,2,6,3]=>[1,6,5,4,3,7,2]=>{{1},{2,6,7},{3,5},{4}}=>5
[1,4,5,7,3,2,6]=>[1,7,5,4,2,3,6]=>{{1},{2,3,5,6,7},{4}}=>3
[1,4,5,7,3,6,2]=>[1,6,5,4,2,7,3]=>{{1},{2,3,5,6,7},{4}}=>3
[1,4,5,7,6,2,3]=>[1,7,5,4,6,3,2]=>{{1},{2,7},{3,5,6},{4}}=>4
[1,4,5,7,6,3,2]=>[1,7,5,4,6,2,3]=>{{1},{2,3,5,6,7},{4}}=>3
[1,4,6,2,3,5,7]=>[1,6,4,3,2,5,7]=>{{1},{2,5,6},{3,4},{7}}=>2
[1,4,6,2,3,7,5]=>[1,7,4,3,2,6,5]=>{{1},{2,5,7},{3,4},{6}}=>3
[1,4,6,2,5,3,7]=>[1,5,4,3,6,2,7]=>{{1},{2,5,6},{3,4},{7}}=>2
[1,4,6,2,5,7,3]=>[1,5,4,3,7,6,2]=>{{1},{2,5,7},{3,4},{6}}=>3
[1,4,6,2,7,3,5]=>[1,7,4,3,6,5,2]=>{{1},{2,7},{3,4},{5,6}}=>2
[1,4,6,2,7,5,3]=>[1,7,4,3,6,2,5]=>{{1},{2,5,6,7},{3,4}}=>3
[1,4,6,3,2,5,7]=>[1,6,4,2,3,5,7]=>{{1},{2,3,4,5,6},{7}}=>0
[1,4,6,3,2,7,5]=>[1,7,4,2,3,6,5]=>{{1},{2,3,4,5,7},{6}}=>1
[1,4,6,3,5,2,7]=>[1,5,4,2,6,3,7]=>{{1},{2,3,4,5,6},{7}}=>0
[1,4,6,3,5,7,2]=>[1,5,4,2,7,6,3]=>{{1},{2,3,4,5,7},{6}}=>1
[1,4,6,3,7,2,5]=>[1,7,4,2,6,5,3]=>{{1},{2,3,4,7},{5,6}}=>1
[1,4,6,3,7,5,2]=>[1,7,4,2,6,3,5]=>{{1},{2,3,4,5,6,7}}=>0
[1,4,6,5,2,3,7]=>[1,6,4,5,3,2,7]=>{{1},{2,6},{3,4,5},{7}}=>1
[1,4,6,5,2,7,3]=>[1,7,4,5,3,6,2]=>{{1},{2,7},{3,4,5},{6}}=>2
[1,4,6,5,3,2,7]=>[1,6,4,5,2,3,7]=>{{1},{2,3,4,5,6},{7}}=>0
[1,4,6,5,3,7,2]=>[1,7,4,5,2,6,3]=>{{1},{2,3,4,5,7},{6}}=>1
[1,4,6,5,7,2,3]=>[1,7,4,6,5,3,2]=>{{1},{2,7},{3,4,6},{5}}=>3
[1,4,6,5,7,3,2]=>[1,7,4,6,5,2,3]=>{{1},{2,3,4,6,7},{5}}=>2
[1,4,6,7,2,3,5]=>[1,7,6,4,3,5,2]=>{{1},{2,7},{3,5,6},{4}}=>4
[1,4,6,7,2,5,3]=>[1,7,6,4,3,2,5]=>{{1},{2,3,5,6,7},{4}}=>3
[1,4,6,7,3,2,5]=>[1,7,6,4,2,5,3]=>{{1},{2,3,5,6,7},{4}}=>3
[1,4,6,7,3,5,2]=>[1,7,6,4,2,3,5]=>{{1},{2,5,7},{3,6},{4}}=>4
[1,4,6,7,5,2,3]=>[1,6,5,4,7,3,2]=>{{1},{2,3,5,6,7},{4}}=>3
[1,4,6,7,5,3,2]=>[1,6,5,4,7,2,3]=>{{1},{2,6},{3,5,7},{4}}=>3
[1,4,7,2,3,5,6]=>[1,7,4,3,2,5,6]=>{{1},{2,5,6,7},{3,4}}=>3
[1,4,7,2,3,6,5]=>[1,6,4,3,2,7,5]=>{{1},{2,5,6,7},{3,4}}=>3
[1,4,7,2,5,3,6]=>[1,5,4,3,7,2,6]=>{{1},{2,5,6,7},{3,4}}=>3
[1,4,7,2,5,6,3]=>[1,5,4,3,6,7,2]=>{{1},{2,5,6,7},{3,4}}=>3
[1,4,7,2,6,3,5]=>[1,6,4,3,7,5,2]=>{{1},{2,5,6,7},{3,4}}=>3
[1,4,7,2,6,5,3]=>[1,6,4,3,7,2,5]=>{{1},{2,6},{3,4},{5,7}}=>1
[1,4,7,3,2,5,6]=>[1,7,4,2,3,5,6]=>{{1},{2,3,4,5,6,7}}=>0
[1,4,7,3,2,6,5]=>[1,6,4,2,3,7,5]=>{{1},{2,3,4,5,6,7}}=>0
[1,4,7,3,5,2,6]=>[1,5,4,2,7,3,6]=>{{1},{2,3,4,5,6,7}}=>0
[1,4,7,3,5,6,2]=>[1,5,4,2,6,7,3]=>{{1},{2,3,4,5,6,7}}=>0
[1,4,7,3,6,2,5]=>[1,6,4,2,7,5,3]=>{{1},{2,3,4,5,6,7}}=>0
[1,4,7,3,6,5,2]=>[1,6,4,2,7,3,5]=>{{1},{2,3,4,6},{5,7}}=>0
[1,4,7,5,2,3,6]=>[1,7,4,5,3,2,6]=>{{1},{2,6,7},{3,4,5}}=>2
[1,4,7,5,2,6,3]=>[1,6,4,5,3,7,2]=>{{1},{2,6,7},{3,4,5}}=>2
[1,4,7,5,3,2,6]=>[1,7,4,5,2,3,6]=>{{1},{2,3,4,5,6,7}}=>0
[1,4,7,5,3,6,2]=>[1,6,4,5,2,7,3]=>{{1},{2,3,4,5,6,7}}=>0
[1,4,7,5,6,2,3]=>[1,7,4,5,6,3,2]=>{{1},{2,7},{3,4,5,6}}=>1
[1,4,7,5,6,3,2]=>[1,7,4,5,6,2,3]=>{{1},{2,3,4,5,6,7}}=>0
[1,4,7,6,2,3,5]=>[1,7,4,6,3,5,2]=>{{1},{2,7},{3,4,5,6}}=>1
[1,4,7,6,2,5,3]=>[1,7,4,6,3,2,5]=>{{1},{2,3,4,5,6,7}}=>0
[1,4,7,6,3,2,5]=>[1,7,4,6,2,5,3]=>{{1},{2,3,4,5,6,7}}=>0
[1,4,7,6,3,5,2]=>[1,7,4,6,2,3,5]=>{{1},{2,5,7},{3,4,6}}=>1
[1,4,7,6,5,2,3]=>[1,6,4,5,7,3,2]=>{{1},{2,3,4,5,6,7}}=>0
[1,4,7,6,5,3,2]=>[1,6,4,5,7,2,3]=>{{1},{2,6},{3,4,5,7}}=>0
[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>{{1},{2,3,4,5},{6},{7}}=>0
[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>{{1},{2,3,4,5},{6,7}}=>0
[1,5,2,3,6,4,7]=>[1,6,2,3,5,4,7]=>{{1},{2,3,4,6},{5},{7}}=>1
[1,5,2,3,6,7,4]=>[1,7,2,3,5,6,4]=>{{1},{2,3,4,7},{5},{6}}=>2
[1,5,2,3,7,4,6]=>[1,7,2,3,5,4,6]=>{{1},{2,3,4,6,7},{5}}=>2
[1,5,2,3,7,6,4]=>[1,6,2,3,5,7,4]=>{{1},{2,3,4,6,7},{5}}=>2
[1,5,2,4,3,6,7]=>[1,4,2,5,3,6,7]=>{{1},{2,3,4,5},{6},{7}}=>0
[1,5,2,4,3,7,6]=>[1,4,2,5,3,7,6]=>{{1},{2,3,4,5},{6,7}}=>0
[1,5,2,4,6,3,7]=>[1,4,2,6,5,3,7]=>{{1},{2,3,4,6},{5},{7}}=>1
[1,5,2,4,6,7,3]=>[1,4,2,7,5,6,3]=>{{1},{2,3,4,7},{5},{6}}=>2
[1,5,2,4,7,3,6]=>[1,4,2,7,5,3,6]=>{{1},{2,3,4,6,7},{5}}=>2
[1,5,2,4,7,6,3]=>[1,4,2,6,5,7,3]=>{{1},{2,3,4,6,7},{5}}=>2
[1,5,2,6,3,4,7]=>[1,6,2,5,4,3,7]=>{{1},{2,3,6},{4,5},{7}}=>1
[1,5,2,6,3,7,4]=>[1,7,2,5,4,6,3]=>{{1},{2,3,7},{4,5},{6}}=>2
[1,5,2,6,4,3,7]=>[1,6,2,5,3,4,7]=>{{1},{2,3,4,5,6},{7}}=>0
[1,5,2,6,4,7,3]=>[1,7,2,5,3,6,4]=>{{1},{2,3,4,5,7},{6}}=>1
[1,5,2,6,7,3,4]=>[1,7,2,6,5,4,3]=>{{1},{2,3,7},{4,6},{5}}=>3
[1,5,2,6,7,4,3]=>[1,7,2,6,5,3,4]=>{{1},{2,3,4,6,7},{5}}=>2
[1,5,2,7,3,4,6]=>[1,7,2,5,4,3,6]=>{{1},{2,3,6,7},{4,5}}=>2
[1,5,2,7,3,6,4]=>[1,6,2,5,4,7,3]=>{{1},{2,3,6,7},{4,5}}=>2
[1,5,2,7,4,3,6]=>[1,7,2,5,3,4,6]=>{{1},{2,3,4,5,6,7}}=>0
[1,5,2,7,4,6,3]=>[1,6,2,5,3,7,4]=>{{1},{2,3,4,5,6,7}}=>0
[1,5,2,7,6,3,4]=>[1,7,2,5,6,4,3]=>{{1},{2,3,7},{4,5,6}}=>1
[1,5,2,7,6,4,3]=>[1,7,2,5,6,3,4]=>{{1},{2,3,4,5,6,7}}=>0
[1,5,3,2,4,6,7]=>[1,3,5,2,4,6,7]=>{{1},{2,3,4,5},{6},{7}}=>0
[1,5,3,2,4,7,6]=>[1,3,5,2,4,7,6]=>{{1},{2,3,4,5},{6,7}}=>0
[1,5,3,2,6,4,7]=>[1,3,6,2,5,4,7]=>{{1},{2,3,4,6},{5},{7}}=>1
[1,5,3,2,6,7,4]=>[1,3,7,2,5,6,4]=>{{1},{2,3,4,7},{5},{6}}=>2
[1,5,3,2,7,4,6]=>[1,3,7,2,5,4,6]=>{{1},{2,3,4,6,7},{5}}=>2
[1,5,3,2,7,6,4]=>[1,3,6,2,5,7,4]=>{{1},{2,3,4,6,7},{5}}=>2
[1,5,3,4,2,6,7]=>[1,3,4,5,2,6,7]=>{{1},{2,3,4,5},{6},{7}}=>0
[1,5,3,4,2,7,6]=>[1,3,4,5,2,7,6]=>{{1},{2,3,4,5},{6,7}}=>0
[1,5,3,4,6,2,7]=>[1,3,4,6,5,2,7]=>{{1},{2,3,4,6},{5},{7}}=>1
[1,5,3,4,6,7,2]=>[1,3,4,7,5,6,2]=>{{1},{2,3,4,7},{5},{6}}=>2
[1,5,3,4,7,2,6]=>[1,3,4,7,5,2,6]=>{{1},{2,3,4,6,7},{5}}=>2
[1,5,3,4,7,6,2]=>[1,3,4,6,5,7,2]=>{{1},{2,3,4,6,7},{5}}=>2
[1,5,3,6,2,4,7]=>[1,3,6,5,4,2,7]=>{{1},{2,3,6},{4,5},{7}}=>1
[1,5,3,6,2,7,4]=>[1,3,7,5,4,6,2]=>{{1},{2,3,7},{4,5},{6}}=>2
[1,5,3,6,4,2,7]=>[1,3,6,5,2,4,7]=>{{1},{2,3,4,5,6},{7}}=>0
[1,5,3,6,4,7,2]=>[1,3,7,5,2,6,4]=>{{1},{2,3,4,5,7},{6}}=>1
[1,5,3,6,7,2,4]=>[1,3,7,6,5,4,2]=>{{1},{2,3,7},{4,6},{5}}=>3
[1,5,3,6,7,4,2]=>[1,3,7,6,5,2,4]=>{{1},{2,3,4,6,7},{5}}=>2
[1,5,3,7,2,4,6]=>[1,3,7,5,4,2,6]=>{{1},{2,3,6,7},{4,5}}=>2
[1,5,3,7,2,6,4]=>[1,3,6,5,4,7,2]=>{{1},{2,3,6,7},{4,5}}=>2
[1,5,3,7,4,2,6]=>[1,3,7,5,2,4,6]=>{{1},{2,3,4,5,6,7}}=>0
[1,5,3,7,4,6,2]=>[1,3,6,5,2,7,4]=>{{1},{2,3,4,5,6,7}}=>0
[1,5,3,7,6,2,4]=>[1,3,7,5,6,4,2]=>{{1},{2,3,7},{4,5,6}}=>1
[1,5,3,7,6,4,2]=>[1,3,7,5,6,2,4]=>{{1},{2,3,4,5,6,7}}=>0
[1,5,4,2,3,6,7]=>[1,4,5,3,2,6,7]=>{{1},{2,3,4,5},{6},{7}}=>0
[1,5,4,2,3,7,6]=>[1,4,5,3,2,7,6]=>{{1},{2,3,4,5},{6,7}}=>0
[1,5,4,2,6,3,7]=>[1,4,6,3,5,2,7]=>{{1},{2,3,4,6},{5},{7}}=>1
[1,5,4,2,6,7,3]=>[1,4,7,3,5,6,2]=>{{1},{2,3,4,7},{5},{6}}=>2
[1,5,4,2,7,3,6]=>[1,4,7,3,5,2,6]=>{{1},{2,3,4,6,7},{5}}=>2
[1,5,4,2,7,6,3]=>[1,4,6,3,5,7,2]=>{{1},{2,3,4,6,7},{5}}=>2
[1,5,4,3,2,6,7]=>[1,4,5,2,3,6,7]=>{{1},{2,4},{3,5},{6},{7}}=>0
[1,5,4,3,2,7,6]=>[1,4,5,2,3,7,6]=>{{1},{2,4},{3,5},{6,7}}=>0
[1,5,4,3,6,2,7]=>[1,4,6,2,5,3,7]=>{{1},{2,4},{3,6},{5},{7}}=>1
[1,5,4,3,6,7,2]=>[1,4,7,2,5,6,3]=>{{1},{2,4},{3,7},{5},{6}}=>2
[1,5,4,3,7,2,6]=>[1,4,7,2,5,3,6]=>{{1},{2,4},{3,6,7},{5}}=>2
[1,5,4,3,7,6,2]=>[1,4,6,2,5,7,3]=>{{1},{2,4},{3,6,7},{5}}=>2
[1,5,4,6,2,3,7]=>[1,5,6,4,3,2,7]=>{{1},{2,3,5,6},{4},{7}}=>2
[1,5,4,6,2,7,3]=>[1,5,7,4,3,6,2]=>{{1},{2,3,5,7},{4},{6}}=>3
[1,5,4,6,3,2,7]=>[1,5,6,4,2,3,7]=>{{1},{2,5},{3,6},{4},{7}}=>2
[1,5,4,6,3,7,2]=>[1,5,7,4,2,6,3]=>{{1},{2,5},{3,7},{4},{6}}=>3
[1,5,4,6,7,2,3]=>[1,6,7,4,5,3,2]=>{{1},{2,3,6,7},{4},{5}}=>4
[1,5,4,6,7,3,2]=>[1,6,7,4,5,2,3]=>{{1},{2,6},{3,7},{4},{5}}=>4
[1,5,4,7,2,3,6]=>[1,5,7,4,3,2,6]=>{{1},{2,3,5,6,7},{4}}=>3
[1,5,4,7,2,6,3]=>[1,5,6,4,3,7,2]=>{{1},{2,3,5,6,7},{4}}=>3
[1,5,4,7,3,2,6]=>[1,5,7,4,2,3,6]=>{{1},{2,5},{3,6,7},{4}}=>3
[1,5,4,7,3,6,2]=>[1,5,6,4,2,7,3]=>{{1},{2,5},{3,6,7},{4}}=>3
[1,5,4,7,6,2,3]=>[1,5,7,4,6,3,2]=>{{1},{2,3,5,6,7},{4}}=>3
[1,5,4,7,6,3,2]=>[1,5,7,4,6,2,3]=>{{1},{2,5,6},{3,7},{4}}=>3
[1,5,6,2,3,4,7]=>[1,6,5,3,4,2,7]=>{{1},{2,6},{3,4,5},{7}}=>1
[1,5,6,2,3,7,4]=>[1,7,5,3,4,6,2]=>{{1},{2,7},{3,4,5},{6}}=>2
[1,5,6,2,4,3,7]=>[1,6,5,3,2,4,7]=>{{1},{2,3,4,5,6},{7}}=>0
[1,5,6,2,4,7,3]=>[1,7,5,3,2,6,4]=>{{1},{2,3,4,5,7},{6}}=>1
[1,5,6,2,7,3,4]=>[1,7,6,3,5,4,2]=>{{1},{2,7},{3,4,6},{5}}=>3
[1,5,6,2,7,4,3]=>[1,7,6,3,5,2,4]=>{{1},{2,3,4,6,7},{5}}=>2
[1,5,6,3,2,4,7]=>[1,6,5,2,4,3,7]=>{{1},{2,3,4,5,6},{7}}=>0
[1,5,6,3,2,7,4]=>[1,7,5,2,4,6,3]=>{{1},{2,3,4,5,7},{6}}=>1
[1,5,6,3,4,2,7]=>[1,6,5,2,3,4,7]=>{{1},{2,4,6},{3,5},{7}}=>1
[1,5,6,3,4,7,2]=>[1,7,5,2,3,6,4]=>{{1},{2,4,7},{3,5},{6}}=>2
[1,5,6,3,7,2,4]=>[1,7,6,2,5,4,3]=>{{1},{2,3,4,6,7},{5}}=>2
[1,5,6,3,7,4,2]=>[1,7,6,2,5,3,4]=>{{1},{2,4,7},{3,6},{5}}=>3
[1,5,6,4,2,3,7]=>[1,5,4,6,3,2,7]=>{{1},{2,3,4,5,6},{7}}=>0
[1,5,6,4,2,7,3]=>[1,5,4,7,3,6,2]=>{{1},{2,3,4,5,7},{6}}=>1
[1,5,6,4,3,2,7]=>[1,5,4,6,2,3,7]=>{{1},{2,5},{3,4,6},{7}}=>0
[1,5,6,4,3,7,2]=>[1,5,4,7,2,6,3]=>{{1},{2,5},{3,4,7},{6}}=>1
[1,5,6,4,7,2,3]=>[1,6,4,7,5,3,2]=>{{1},{2,3,4,6,7},{5}}=>2
[1,5,6,4,7,3,2]=>[1,6,4,7,5,2,3]=>{{1},{2,6},{3,4,7},{5}}=>2
[1,5,6,7,2,3,4]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>3
[1,5,6,7,2,4,3]=>[1,7,6,5,4,2,3]=>{{1},{2,3,6,7},{4,5}}=>2
[1,5,6,7,3,2,4]=>[1,7,6,5,3,4,2]=>{{1},{2,7},{3,4,5,6}}=>1
[1,5,6,7,3,4,2]=>[1,7,6,5,3,2,4]=>{{1},{2,3,4,5,6,7}}=>0
[1,5,6,7,4,2,3]=>[1,7,6,5,2,4,3]=>{{1},{2,3,4,5,6,7}}=>0
[1,5,6,7,4,3,2]=>[1,7,6,5,2,3,4]=>{{1},{2,4,5,7},{3,6}}=>1
[1,5,7,2,3,4,6]=>[1,7,5,3,4,2,6]=>{{1},{2,6,7},{3,4,5}}=>2
[1,5,7,2,3,6,4]=>[1,6,5,3,4,7,2]=>{{1},{2,6,7},{3,4,5}}=>2
[1,5,7,2,4,3,6]=>[1,7,5,3,2,4,6]=>{{1},{2,3,4,5,6,7}}=>0
[1,5,7,2,4,6,3]=>[1,6,5,3,2,7,4]=>{{1},{2,3,4,5,6,7}}=>0
[1,5,7,2,6,3,4]=>[1,7,5,3,6,4,2]=>{{1},{2,7},{3,4,5,6}}=>1
[1,5,7,2,6,4,3]=>[1,7,5,3,6,2,4]=>{{1},{2,3,4,5,6,7}}=>0
[1,5,7,3,2,4,6]=>[1,7,5,2,4,3,6]=>{{1},{2,3,4,5,6,7}}=>0
[1,5,7,3,2,6,4]=>[1,6,5,2,4,7,3]=>{{1},{2,3,4,5,6,7}}=>0
[1,5,7,3,4,2,6]=>[1,7,5,2,3,4,6]=>{{1},{2,4,6,7},{3,5}}=>2
[1,5,7,3,4,6,2]=>[1,6,5,2,3,7,4]=>{{1},{2,4,6,7},{3,5}}=>2
[1,5,7,3,6,2,4]=>[1,7,5,2,6,4,3]=>{{1},{2,3,4,5,6,7}}=>0
[1,5,7,3,6,4,2]=>[1,7,5,2,6,3,4]=>{{1},{2,4,7},{3,5,6}}=>1
[1,5,7,4,2,3,6]=>[1,5,4,7,3,2,6]=>{{1},{2,3,4,5,6,7}}=>0
[1,5,7,4,2,6,3]=>[1,5,4,6,3,7,2]=>{{1},{2,3,4,5,6,7}}=>0
[1,5,7,4,3,2,6]=>[1,5,4,7,2,3,6]=>{{1},{2,5},{3,4,6,7}}=>0
[1,5,7,4,3,6,2]=>[1,5,4,6,2,7,3]=>{{1},{2,5},{3,4,6,7}}=>0
[1,5,7,4,6,2,3]=>[1,5,4,7,6,3,2]=>{{1},{2,3,4,5,6,7}}=>0
[1,5,7,4,6,3,2]=>[1,5,4,7,6,2,3]=>{{1},{2,5,6},{3,4,7}}=>0
[1,5,7,6,2,3,4]=>[1,7,5,6,4,3,2]=>{{1},{2,7},{3,4,5,6}}=>1
[1,5,7,6,2,4,3]=>[1,7,5,6,4,2,3]=>{{1},{2,3,4,5,6,7}}=>0
[1,5,7,6,3,2,4]=>[1,7,5,6,3,4,2]=>{{1},{2,7},{3,5},{4,6}}=>2
[1,5,7,6,3,4,2]=>[1,7,5,6,3,2,4]=>{{1},{2,4,6,7},{3,5}}=>2
[1,5,7,6,4,2,3]=>[1,7,5,6,2,4,3]=>{{1},{2,3,5,7},{4,6}}=>1
[1,5,7,6,4,3,2]=>[1,7,5,6,2,3,4]=>{{1},{2,3,4,5,6,7}}=>0
[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>0
[1,6,2,3,4,7,5]=>[1,7,2,3,4,6,5]=>{{1},{2,3,4,5,7},{6}}=>1
[1,6,2,3,5,4,7]=>[1,5,2,3,6,4,7]=>{{1},{2,3,4,5,6},{7}}=>0
[1,6,2,3,5,7,4]=>[1,5,2,3,7,6,4]=>{{1},{2,3,4,5,7},{6}}=>1
[1,6,2,3,7,4,5]=>[1,7,2,3,6,5,4]=>{{1},{2,3,4,7},{5,6}}=>1
[1,6,2,3,7,5,4]=>[1,7,2,3,6,4,5]=>{{1},{2,3,4,5,6,7}}=>0
[1,6,2,4,3,5,7]=>[1,4,2,6,3,5,7]=>{{1},{2,3,4,5,6},{7}}=>0
[1,6,2,4,3,7,5]=>[1,4,2,7,3,6,5]=>{{1},{2,3,4,5,7},{6}}=>1
[1,6,2,4,5,3,7]=>[1,4,2,5,6,3,7]=>{{1},{2,3,4,5,6},{7}}=>0
[1,6,2,4,5,7,3]=>[1,4,2,5,7,6,3]=>{{1},{2,3,4,5,7},{6}}=>1
[1,6,2,4,7,3,5]=>[1,4,2,7,6,5,3]=>{{1},{2,3,4,7},{5,6}}=>1
[1,6,2,4,7,5,3]=>[1,4,2,7,6,3,5]=>{{1},{2,3,4,5,6,7}}=>0
[1,6,2,5,3,4,7]=>[1,5,2,6,4,3,7]=>{{1},{2,3,4,5,6},{7}}=>0
[1,6,2,5,3,7,4]=>[1,5,2,7,4,6,3]=>{{1},{2,3,4,5,7},{6}}=>1
[1,6,2,5,4,3,7]=>[1,5,2,6,3,4,7]=>{{1},{2,3,5},{4,6},{7}}=>0
[1,6,2,5,4,7,3]=>[1,5,2,7,3,6,4]=>{{1},{2,3,5},{4,7},{6}}=>1
[1,6,2,5,7,3,4]=>[1,6,2,7,5,4,3]=>{{1},{2,3,4,6,7},{5}}=>2
[1,6,2,5,7,4,3]=>[1,6,2,7,5,3,4]=>{{1},{2,3,6},{4,7},{5}}=>2
[1,6,2,7,3,4,5]=>[1,7,2,6,4,5,3]=>{{1},{2,3,7},{4,5,6}}=>1
[1,6,2,7,3,5,4]=>[1,7,2,6,4,3,5]=>{{1},{2,3,4,5,6,7}}=>0
[1,6,2,7,4,3,5]=>[1,7,2,6,3,5,4]=>{{1},{2,3,4,5,6,7}}=>0
[1,6,2,7,4,5,3]=>[1,7,2,6,3,4,5]=>{{1},{2,3,5,7},{4,6}}=>1
[1,6,2,7,5,3,4]=>[1,6,2,5,7,4,3]=>{{1},{2,3,4,5,6,7}}=>0
[1,6,2,7,5,4,3]=>[1,6,2,5,7,3,4]=>{{1},{2,3,6},{4,5,7}}=>0
[1,6,3,2,4,5,7]=>[1,3,6,2,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>0
[1,6,3,2,4,7,5]=>[1,3,7,2,4,6,5]=>{{1},{2,3,4,5,7},{6}}=>1
[1,6,3,2,5,4,7]=>[1,3,5,2,6,4,7]=>{{1},{2,3,4,5,6},{7}}=>0
[1,6,3,2,5,7,4]=>[1,3,5,2,7,6,4]=>{{1},{2,3,4,5,7},{6}}=>1
[1,6,3,2,7,4,5]=>[1,3,7,2,6,5,4]=>{{1},{2,3,4,7},{5,6}}=>1
[1,6,3,2,7,5,4]=>[1,3,7,2,6,4,5]=>{{1},{2,3,4,5,6,7}}=>0
[1,6,3,4,2,5,7]=>[1,3,4,6,2,5,7]=>{{1},{2,3,4,5,6},{7}}=>0
[1,6,3,4,2,7,5]=>[1,3,4,7,2,6,5]=>{{1},{2,3,4,5,7},{6}}=>1
[1,6,3,4,5,2,7]=>[1,3,4,5,6,2,7]=>{{1},{2,3,4,5,6},{7}}=>0
[1,6,3,4,5,7,2]=>[1,3,4,5,7,6,2]=>{{1},{2,3,4,5,7},{6}}=>1
[1,6,3,4,7,2,5]=>[1,3,4,7,6,5,2]=>{{1},{2,3,4,7},{5,6}}=>1
[1,6,3,4,7,5,2]=>[1,3,4,7,6,2,5]=>{{1},{2,3,4,5,6,7}}=>0
[1,6,3,5,2,4,7]=>[1,3,5,6,4,2,7]=>{{1},{2,3,4,5,6},{7}}=>0
[1,6,3,5,2,7,4]=>[1,3,5,7,4,6,2]=>{{1},{2,3,4,5,7},{6}}=>1
[1,6,3,5,4,2,7]=>[1,3,5,6,2,4,7]=>{{1},{2,3,5},{4,6},{7}}=>0
[1,6,3,5,4,7,2]=>[1,3,5,7,2,6,4]=>{{1},{2,3,5},{4,7},{6}}=>1
[1,6,3,5,7,2,4]=>[1,3,6,7,5,4,2]=>{{1},{2,3,4,6,7},{5}}=>2
[1,6,3,5,7,4,2]=>[1,3,6,7,5,2,4]=>{{1},{2,3,6},{4,7},{5}}=>2
[1,6,3,7,2,4,5]=>[1,3,7,6,4,5,2]=>{{1},{2,3,7},{4,5,6}}=>1
[1,6,3,7,2,5,4]=>[1,3,7,6,4,2,5]=>{{1},{2,3,4,5,6,7}}=>0
[1,6,3,7,4,2,5]=>[1,3,7,6,2,5,4]=>{{1},{2,3,4,5,6,7}}=>0
[1,6,3,7,4,5,2]=>[1,3,7,6,2,4,5]=>{{1},{2,3,5,7},{4,6}}=>1
[1,6,3,7,5,2,4]=>[1,3,6,5,7,4,2]=>{{1},{2,3,4,5,6,7}}=>0
[1,6,3,7,5,4,2]=>[1,3,6,5,7,2,4]=>{{1},{2,3,6},{4,5,7}}=>0
[1,6,4,2,3,5,7]=>[1,4,6,3,2,5,7]=>{{1},{2,3,4,5,6},{7}}=>0
[1,6,4,2,3,7,5]=>[1,4,7,3,2,6,5]=>{{1},{2,3,4,5,7},{6}}=>1
[1,6,4,2,5,3,7]=>[1,4,5,3,6,2,7]=>{{1},{2,3,4,5,6},{7}}=>0
[1,6,4,2,5,7,3]=>[1,4,5,3,7,6,2]=>{{1},{2,3,4,5,7},{6}}=>1
[1,6,4,2,7,3,5]=>[1,4,7,3,6,5,2]=>{{1},{2,3,4,7},{5,6}}=>1
[1,6,4,2,7,5,3]=>[1,4,7,3,6,2,5]=>{{1},{2,3,4,5,6,7}}=>0
[1,6,4,3,2,5,7]=>[1,4,6,2,3,5,7]=>{{1},{2,4},{3,5,6},{7}}=>0
[1,6,4,3,2,7,5]=>[1,4,7,2,3,6,5]=>{{1},{2,4},{3,5,7},{6}}=>1
[1,6,4,3,5,2,7]=>[1,4,5,2,6,3,7]=>{{1},{2,4},{3,5,6},{7}}=>0
[1,6,4,3,5,7,2]=>[1,4,5,2,7,6,3]=>{{1},{2,4},{3,5,7},{6}}=>1
[1,6,4,3,7,2,5]=>[1,4,7,2,6,5,3]=>{{1},{2,4},{3,7},{5,6}}=>1
[1,6,4,3,7,5,2]=>[1,4,7,2,6,3,5]=>{{1},{2,4},{3,5,6,7}}=>0
[1,6,4,5,2,3,7]=>[1,4,6,5,3,2,7]=>{{1},{2,3,4,5,6},{7}}=>0
[1,6,4,5,2,7,3]=>[1,4,7,5,3,6,2]=>{{1},{2,3,4,5,7},{6}}=>1
[1,6,4,5,3,2,7]=>[1,4,6,5,2,3,7]=>{{1},{2,4,5},{3,6},{7}}=>0
[1,6,4,5,3,7,2]=>[1,4,7,5,2,6,3]=>{{1},{2,4,5},{3,7},{6}}=>1
[1,6,4,5,7,2,3]=>[1,4,7,6,5,3,2]=>{{1},{2,3,4,6,7},{5}}=>2
[1,6,4,5,7,3,2]=>[1,4,7,6,5,2,3]=>{{1},{2,4,6},{3,7},{5}}=>2
[1,6,4,7,2,3,5]=>[1,6,7,4,3,5,2]=>{{1},{2,3,5,6,7},{4}}=>3
[1,6,4,7,2,5,3]=>[1,6,7,4,3,2,5]=>{{1},{2,6},{3,5,7},{4}}=>3
[1,6,4,7,3,2,5]=>[1,6,7,4,2,5,3]=>{{1},{2,5,6},{3,7},{4}}=>3
[1,6,4,7,3,5,2]=>[1,6,7,4,2,3,5]=>{{1},{2,3,5,6,7},{4}}=>3
[1,6,4,7,5,2,3]=>[1,5,6,4,7,3,2]=>{{1},{2,5,7},{3,6},{4}}=>4
[1,6,4,7,5,3,2]=>[1,5,6,4,7,2,3]=>{{1},{2,3,5,6,7},{4}}=>3
[1,6,5,2,3,4,7]=>[1,5,6,3,4,2,7]=>{{1},{2,3,4,5,6},{7}}=>0
[1,6,5,2,3,7,4]=>[1,5,7,3,4,6,2]=>{{1},{2,3,4,5,7},{6}}=>1
[1,6,5,2,4,3,7]=>[1,5,6,3,2,4,7]=>{{1},{2,5},{3,4,6},{7}}=>0
[1,6,5,2,4,7,3]=>[1,5,7,3,2,6,4]=>{{1},{2,5},{3,4,7},{6}}=>1
[1,6,5,2,7,3,4]=>[1,6,7,3,5,4,2]=>{{1},{2,3,4,6,7},{5}}=>2
[1,6,5,2,7,4,3]=>[1,6,7,3,5,2,4]=>{{1},{2,6},{3,4,7},{5}}=>2
[1,6,5,3,2,4,7]=>[1,5,6,2,4,3,7]=>{{1},{2,4,5},{3,6},{7}}=>0
[1,6,5,3,2,7,4]=>[1,5,7,2,4,6,3]=>{{1},{2,4,5},{3,7},{6}}=>1
[1,6,5,3,4,2,7]=>[1,5,6,2,3,4,7]=>{{1},{2,3,4,5,6},{7}}=>0
[1,6,5,3,4,7,2]=>[1,5,7,2,3,6,4]=>{{1},{2,3,4,5,7},{6}}=>1
[1,6,5,3,7,2,4]=>[1,6,7,2,5,4,3]=>{{1},{2,4,6},{3,7},{5}}=>2
[1,6,5,3,7,4,2]=>[1,6,7,2,5,3,4]=>{{1},{2,3,4,6,7},{5}}=>2
[1,6,5,4,2,3,7]=>[1,4,5,6,3,2,7]=>{{1},{2,4,6},{3,5},{7}}=>1
[1,6,5,4,2,7,3]=>[1,4,5,7,3,6,2]=>{{1},{2,4,7},{3,5},{6}}=>2
[1,6,5,4,3,2,7]=>[1,4,5,6,2,3,7]=>{{1},{2,3,4,5,6},{7}}=>0
[1,6,5,4,3,7,2]=>[1,4,5,7,2,6,3]=>{{1},{2,3,4,5,7},{6}}=>1
[1,6,5,4,7,2,3]=>[1,4,6,7,5,3,2]=>{{1},{2,4,7},{3,6},{5}}=>3
[1,6,5,4,7,3,2]=>[1,4,6,7,5,2,3]=>{{1},{2,3,4,6,7},{5}}=>2
[1,6,5,7,2,3,4]=>[1,6,7,5,4,3,2]=>{{1},{2,3,6,7},{4,5}}=>2
[1,6,5,7,2,4,3]=>[1,6,7,5,4,2,3]=>{{1},{2,6},{3,7},{4,5}}=>2
[1,6,5,7,3,2,4]=>[1,6,7,5,3,4,2]=>{{1},{2,3,4,5,6,7}}=>0
[1,6,5,7,3,4,2]=>[1,6,7,5,3,2,4]=>{{1},{2,6},{3,4,5,7}}=>0
[1,6,5,7,4,2,3]=>[1,6,7,5,2,4,3]=>{{1},{2,4,5,6},{3,7}}=>0
[1,6,5,7,4,3,2]=>[1,6,7,5,2,3,4]=>{{1},{2,3,4,5,6,7}}=>0
[1,6,7,2,3,4,5]=>[1,7,6,3,4,5,2]=>{{1},{2,7},{3,4,5,6}}=>1
[1,6,7,2,3,5,4]=>[1,7,6,3,4,2,5]=>{{1},{2,3,4,5,6,7}}=>0
[1,6,7,2,4,3,5]=>[1,7,6,3,2,5,4]=>{{1},{2,3,4,5,6,7}}=>0
[1,6,7,2,4,5,3]=>[1,7,6,3,2,4,5]=>{{1},{2,5,7},{3,4,6}}=>1
[1,6,7,2,5,3,4]=>[1,6,5,3,7,4,2]=>{{1},{2,3,4,5,6,7}}=>0
[1,6,7,2,5,4,3]=>[1,6,5,3,7,2,4]=>{{1},{2,6},{3,4,5,7}}=>0
[1,6,7,3,2,4,5]=>[1,7,6,2,4,5,3]=>{{1},{2,3,4,5,6,7}}=>0
[1,6,7,3,2,5,4]=>[1,7,6,2,4,3,5]=>{{1},{2,4,5,7},{3,6}}=>1
[1,6,7,3,4,2,5]=>[1,7,6,2,3,5,4]=>{{1},{2,4,7},{3,5,6}}=>1
[1,6,7,3,4,5,2]=>[1,7,6,2,3,4,5]=>{{1},{2,3,4,5,6,7}}=>0
[1,6,7,3,5,2,4]=>[1,6,5,2,7,4,3]=>{{1},{2,4,6},{3,5,7}}=>0
[1,6,7,3,5,4,2]=>[1,6,5,2,7,3,4]=>{{1},{2,3,4,5,6,7}}=>0
[1,6,7,4,2,3,5]=>[1,6,4,7,3,5,2]=>{{1},{2,3,4,5,6,7}}=>0
[1,6,7,4,2,5,3]=>[1,6,4,7,3,2,5]=>{{1},{2,6},{3,4,5,7}}=>0
[1,6,7,4,3,2,5]=>[1,6,4,7,2,5,3]=>{{1},{2,5,6},{3,4,7}}=>0
[1,6,7,4,3,5,2]=>[1,6,4,7,2,3,5]=>{{1},{2,3,4,5,6,7}}=>0
[1,6,7,4,5,2,3]=>[1,5,4,6,7,3,2]=>{{1},{2,5,7},{3,4,6}}=>1
[1,6,7,4,5,3,2]=>[1,5,4,6,7,2,3]=>{{1},{2,3,4,5,6,7}}=>0
[1,6,7,5,2,3,4]=>[1,6,5,7,4,3,2]=>{{1},{2,3,4,5,6,7}}=>0
[1,6,7,5,2,4,3]=>[1,6,5,7,4,2,3]=>{{1},{2,6},{3,4,5,7}}=>0
[1,6,7,5,3,2,4]=>[1,6,5,7,3,4,2]=>{{1},{2,4,6,7},{3,5}}=>2
[1,6,7,5,3,4,2]=>[1,6,5,7,3,2,4]=>{{1},{2,6},{3,5},{4,7}}=>1
[1,6,7,5,4,2,3]=>[1,6,5,7,2,4,3]=>{{1},{2,3,4,5,6,7}}=>0
[1,6,7,5,4,3,2]=>[1,6,5,7,2,3,4]=>{{1},{2,3,5,6},{4,7}}=>0
[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>0
[1,7,2,3,4,6,5]=>[1,6,2,3,4,7,5]=>{{1},{2,3,4,5,6,7}}=>0
[1,7,2,3,5,4,6]=>[1,5,2,3,7,4,6]=>{{1},{2,3,4,5,6,7}}=>0
[1,7,2,3,5,6,4]=>[1,5,2,3,6,7,4]=>{{1},{2,3,4,5,6,7}}=>0
[1,7,2,3,6,4,5]=>[1,6,2,3,7,5,4]=>{{1},{2,3,4,5,6,7}}=>0
[1,7,2,3,6,5,4]=>[1,6,2,3,7,4,5]=>{{1},{2,3,4,6},{5,7}}=>0
[1,7,2,4,3,5,6]=>[1,4,2,7,3,5,6]=>{{1},{2,3,4,5,6,7}}=>0
[1,7,2,4,3,6,5]=>[1,4,2,6,3,7,5]=>{{1},{2,3,4,5,6,7}}=>0
[1,7,2,4,5,3,6]=>[1,4,2,5,7,3,6]=>{{1},{2,3,4,5,6,7}}=>0
[1,7,2,4,5,6,3]=>[1,4,2,5,6,7,3]=>{{1},{2,3,4,5,6,7}}=>0
[1,7,2,4,6,3,5]=>[1,4,2,6,7,5,3]=>{{1},{2,3,4,5,6,7}}=>0
[1,7,2,4,6,5,3]=>[1,4,2,6,7,3,5]=>{{1},{2,3,4,6},{5,7}}=>0
[1,7,2,5,3,4,6]=>[1,5,2,7,4,3,6]=>{{1},{2,3,4,5,6,7}}=>0
[1,7,2,5,3,6,4]=>[1,5,2,6,4,7,3]=>{{1},{2,3,4,5,6,7}}=>0
[1,7,2,5,4,3,6]=>[1,5,2,7,3,4,6]=>{{1},{2,3,5},{4,6,7}}=>0
[1,7,2,5,4,6,3]=>[1,5,2,6,3,7,4]=>{{1},{2,3,5},{4,6,7}}=>0
[1,7,2,5,6,3,4]=>[1,5,2,7,6,4,3]=>{{1},{2,3,4,5,6,7}}=>0
[1,7,2,5,6,4,3]=>[1,5,2,7,6,3,4]=>{{1},{2,3,5,6},{4,7}}=>0
[1,7,2,6,3,4,5]=>[1,6,2,7,4,5,3]=>{{1},{2,3,4,5,6,7}}=>0
[1,7,2,6,3,5,4]=>[1,6,2,7,4,3,5]=>{{1},{2,3,6},{4,5,7}}=>0
[1,7,2,6,4,3,5]=>[1,6,2,7,3,5,4]=>{{1},{2,3,5,6},{4,7}}=>0
[1,7,2,6,4,5,3]=>[1,6,2,7,3,4,5]=>{{1},{2,3,4,5,6,7}}=>0
[1,7,2,6,5,3,4]=>[1,5,2,6,7,4,3]=>{{1},{2,3,5,7},{4,6}}=>1
[1,7,2,6,5,4,3]=>[1,5,2,6,7,3,4]=>{{1},{2,3,4,5,6,7}}=>0
[1,7,3,2,4,5,6]=>[1,3,7,2,4,5,6]=>{{1},{2,3,4,5,6,7}}=>0
[1,7,3,2,4,6,5]=>[1,3,6,2,4,7,5]=>{{1},{2,3,4,5,6,7}}=>0
[1,7,3,2,5,4,6]=>[1,3,5,2,7,4,6]=>{{1},{2,3,4,5,6,7}}=>0
[1,7,3,2,5,6,4]=>[1,3,5,2,6,7,4]=>{{1},{2,3,4,5,6,7}}=>0
[1,7,3,2,6,4,5]=>[1,3,6,2,7,5,4]=>{{1},{2,3,4,5,6,7}}=>0
[1,7,3,2,6,5,4]=>[1,3,6,2,7,4,5]=>{{1},{2,3,4,6},{5,7}}=>0
[1,7,3,4,2,5,6]=>[1,3,4,7,2,5,6]=>{{1},{2,3,4,5,6,7}}=>0
[1,7,3,4,2,6,5]=>[1,3,4,6,2,7,5]=>{{1},{2,3,4,5,6,7}}=>0
[1,7,3,4,5,2,6]=>[1,3,4,5,7,2,6]=>{{1},{2,3,4,5,6,7}}=>0
[1,7,3,4,5,6,2]=>[1,3,4,5,6,7,2]=>{{1},{2,3,4,5,6,7}}=>0
[1,7,3,4,6,2,5]=>[1,3,4,6,7,5,2]=>{{1},{2,3,4,5,6,7}}=>0
[1,7,3,4,6,5,2]=>[1,3,4,6,7,2,5]=>{{1},{2,3,4,6},{5,7}}=>0
[1,7,3,5,2,4,6]=>[1,3,5,7,4,2,6]=>{{1},{2,3,4,5,6,7}}=>0
[1,7,3,5,2,6,4]=>[1,3,5,6,4,7,2]=>{{1},{2,3,4,5,6,7}}=>0
[1,7,3,5,4,2,6]=>[1,3,5,7,2,4,6]=>{{1},{2,3,5},{4,6,7}}=>0
[1,7,3,5,4,6,2]=>[1,3,5,6,2,7,4]=>{{1},{2,3,5},{4,6,7}}=>0
[1,7,3,5,6,2,4]=>[1,3,5,7,6,4,2]=>{{1},{2,3,4,5,6,7}}=>0
[1,7,3,5,6,4,2]=>[1,3,5,7,6,2,4]=>{{1},{2,3,5,6},{4,7}}=>0
[1,7,3,6,2,4,5]=>[1,3,6,7,4,5,2]=>{{1},{2,3,4,5,6,7}}=>0
[1,7,3,6,2,5,4]=>[1,3,6,7,4,2,5]=>{{1},{2,3,6},{4,5,7}}=>0
[1,7,3,6,4,2,5]=>[1,3,6,7,2,5,4]=>{{1},{2,3,5,6},{4,7}}=>0
[1,7,3,6,4,5,2]=>[1,3,6,7,2,4,5]=>{{1},{2,3,4,5,6,7}}=>0
[1,7,3,6,5,2,4]=>[1,3,5,6,7,4,2]=>{{1},{2,3,5,7},{4,6}}=>1
[1,7,3,6,5,4,2]=>[1,3,5,6,7,2,4]=>{{1},{2,3,4,5,6,7}}=>0
[1,7,4,2,3,5,6]=>[1,4,7,3,2,5,6]=>{{1},{2,3,4,5,6,7}}=>0
[1,7,4,2,3,6,5]=>[1,4,6,3,2,7,5]=>{{1},{2,3,4,5,6,7}}=>0
[1,7,4,2,5,3,6]=>[1,4,5,3,7,2,6]=>{{1},{2,3,4,5,6,7}}=>0
[1,7,4,2,5,6,3]=>[1,4,5,3,6,7,2]=>{{1},{2,3,4,5,6,7}}=>0
[1,7,4,2,6,3,5]=>[1,4,6,3,7,5,2]=>{{1},{2,3,4,5,6,7}}=>0
[1,7,4,2,6,5,3]=>[1,4,6,3,7,2,5]=>{{1},{2,3,4,6},{5,7}}=>0
[1,7,4,3,2,5,6]=>[1,4,7,2,3,5,6]=>{{1},{2,4},{3,5,6,7}}=>0
[1,7,4,3,2,6,5]=>[1,4,6,2,3,7,5]=>{{1},{2,4},{3,5,6,7}}=>0
[1,7,4,3,5,2,6]=>[1,4,5,2,7,3,6]=>{{1},{2,4},{3,5,6,7}}=>0
[1,7,4,3,5,6,2]=>[1,4,5,2,6,7,3]=>{{1},{2,4},{3,5,6,7}}=>0
[1,7,4,3,6,2,5]=>[1,4,6,2,7,5,3]=>{{1},{2,4},{3,5,6,7}}=>0
[1,7,4,3,6,5,2]=>[1,4,6,2,7,3,5]=>{{1},{2,4},{3,6},{5,7}}=>0
[1,7,4,5,2,3,6]=>[1,4,7,5,3,2,6]=>{{1},{2,3,4,5,6,7}}=>0
[1,7,4,5,2,6,3]=>[1,4,6,5,3,7,2]=>{{1},{2,3,4,5,6,7}}=>0
[1,7,4,5,3,2,6]=>[1,4,7,5,2,3,6]=>{{1},{2,4,5},{3,6,7}}=>0
[1,7,4,5,3,6,2]=>[1,4,6,5,2,7,3]=>{{1},{2,4,5},{3,6,7}}=>0
[1,7,4,5,6,2,3]=>[1,4,7,5,6,3,2]=>{{1},{2,3,4,5,6,7}}=>0
[1,7,4,5,6,3,2]=>[1,4,7,5,6,2,3]=>{{1},{2,4,5,6},{3,7}}=>0
[1,7,4,6,2,3,5]=>[1,4,7,6,3,5,2]=>{{1},{2,3,4,5,6,7}}=>0
[1,7,4,6,2,5,3]=>[1,4,7,6,3,2,5]=>{{1},{2,4,6},{3,5,7}}=>0
[1,7,4,6,3,2,5]=>[1,4,7,6,2,5,3]=>{{1},{2,4,5,6},{3,7}}=>0
[1,7,4,6,3,5,2]=>[1,4,7,6,2,3,5]=>{{1},{2,3,4,5,6,7}}=>0
[1,7,4,6,5,2,3]=>[1,4,6,5,7,3,2]=>{{1},{2,4,5,7},{3,6}}=>1
[1,7,4,6,5,3,2]=>[1,4,6,5,7,2,3]=>{{1},{2,3,4,5,6,7}}=>0
[1,7,5,2,3,4,6]=>[1,5,7,3,4,2,6]=>{{1},{2,3,4,5,6,7}}=>0
[1,7,5,2,3,6,4]=>[1,5,6,3,4,7,2]=>{{1},{2,3,4,5,6,7}}=>0
[1,7,5,2,4,3,6]=>[1,5,7,3,2,4,6]=>{{1},{2,5},{3,4,6,7}}=>0
[1,7,5,2,4,6,3]=>[1,5,6,3,2,7,4]=>{{1},{2,5},{3,4,6,7}}=>0
[1,7,5,2,6,3,4]=>[1,5,7,3,6,4,2]=>{{1},{2,3,4,5,6,7}}=>0
[1,7,5,2,6,4,3]=>[1,5,7,3,6,2,4]=>{{1},{2,5,6},{3,4,7}}=>0
[1,7,5,3,2,4,6]=>[1,5,7,2,4,3,6]=>{{1},{2,4,5},{3,6,7}}=>0
[1,7,5,3,2,6,4]=>[1,5,6,2,4,7,3]=>{{1},{2,4,5},{3,6,7}}=>0
[1,7,5,3,4,2,6]=>[1,5,7,2,3,4,6]=>{{1},{2,3,4,5,6,7}}=>0
[1,7,5,3,4,6,2]=>[1,5,6,2,3,7,4]=>{{1},{2,3,4,5,6,7}}=>0
[1,7,5,3,6,2,4]=>[1,5,7,2,6,4,3]=>{{1},{2,4,5,6},{3,7}}=>0
[1,7,5,3,6,4,2]=>[1,5,7,2,6,3,4]=>{{1},{2,3,4,5,6,7}}=>0
[1,7,5,4,2,3,6]=>[1,4,5,7,3,2,6]=>{{1},{2,4,6,7},{3,5}}=>2
[1,7,5,4,2,6,3]=>[1,4,5,6,3,7,2]=>{{1},{2,4,6,7},{3,5}}=>2
[1,7,5,4,3,2,6]=>[1,4,5,7,2,3,6]=>{{1},{2,3,4,5,6,7}}=>0
[1,7,5,4,3,6,2]=>[1,4,5,6,2,7,3]=>{{1},{2,3,4,5,6,7}}=>0
[1,7,5,4,6,2,3]=>[1,4,5,7,6,3,2]=>{{1},{2,4,7},{3,5,6}}=>1
[1,7,5,4,6,3,2]=>[1,4,5,7,6,2,3]=>{{1},{2,3,4,5,6,7}}=>0
[1,7,5,6,2,3,4]=>[1,5,7,6,4,3,2]=>{{1},{2,3,4,5,6,7}}=>0
[1,7,5,6,2,4,3]=>[1,5,7,6,4,2,3]=>{{1},{2,4,5,6},{3,7}}=>0
[1,7,5,6,3,2,4]=>[1,5,7,6,3,4,2]=>{{1},{2,3,5,7},{4,6}}=>1
[1,7,5,6,3,4,2]=>[1,5,7,6,3,2,4]=>{{1},{2,3,4,5,6,7}}=>0
[1,7,5,6,4,2,3]=>[1,5,7,6,2,4,3]=>{{1},{2,5},{3,7},{4,6}}=>1
[1,7,5,6,4,3,2]=>[1,5,7,6,2,3,4]=>{{1},{2,5},{3,4,6,7}}=>0
[1,7,6,2,3,4,5]=>[1,6,7,3,4,5,2]=>{{1},{2,3,4,5,6,7}}=>0
[1,7,6,2,3,5,4]=>[1,6,7,3,4,2,5]=>{{1},{2,6},{3,4,5,7}}=>0
[1,7,6,2,4,3,5]=>[1,6,7,3,2,5,4]=>{{1},{2,5,6},{3,4,7}}=>0
[1,7,6,2,4,5,3]=>[1,6,7,3,2,4,5]=>{{1},{2,3,4,5,6,7}}=>0
[1,7,6,2,5,3,4]=>[1,5,6,3,7,4,2]=>{{1},{2,5,7},{3,4,6}}=>1
[1,7,6,2,5,4,3]=>[1,5,6,3,7,2,4]=>{{1},{2,3,4,5,6,7}}=>0
[1,7,6,3,2,4,5]=>[1,6,7,2,4,5,3]=>{{1},{2,4,5,6},{3,7}}=>0
[1,7,6,3,2,5,4]=>[1,6,7,2,4,3,5]=>{{1},{2,3,4,5,6,7}}=>0
[1,7,6,3,4,2,5]=>[1,6,7,2,3,5,4]=>{{1},{2,3,4,5,6,7}}=>0
[1,7,6,3,4,5,2]=>[1,6,7,2,3,4,5]=>{{1},{2,4,6},{3,5,7}}=>0
[1,7,6,3,5,2,4]=>[1,5,6,2,7,4,3]=>{{1},{2,3,4,5,6,7}}=>0
[1,7,6,3,5,4,2]=>[1,5,6,2,7,3,4]=>{{1},{2,4,5,7},{3,6}}=>1
[1,7,6,4,2,3,5]=>[1,4,6,7,3,5,2]=>{{1},{2,4,7},{3,5,6}}=>1
[1,7,6,4,2,5,3]=>[1,4,6,7,3,2,5]=>{{1},{2,3,4,5,6,7}}=>0
[1,7,6,4,3,2,5]=>[1,4,6,7,2,5,3]=>{{1},{2,3,4,5,6,7}}=>0
[1,7,6,4,3,5,2]=>[1,4,6,7,2,3,5]=>{{1},{2,4,5,7},{3,6}}=>1
[1,7,6,4,5,2,3]=>[1,4,5,6,7,3,2]=>{{1},{2,3,4,5,6,7}}=>0
[1,7,6,4,5,3,2]=>[1,4,5,6,7,2,3]=>{{1},{2,4,6},{3,5,7}}=>0
[1,7,6,5,2,3,4]=>[1,5,6,7,4,3,2]=>{{1},{2,4,5,7},{3,6}}=>1
[1,7,6,5,2,4,3]=>[1,5,6,7,4,2,3]=>{{1},{2,3,4,5,6,7}}=>0
[1,7,6,5,3,2,4]=>[1,5,6,7,3,4,2]=>{{1},{2,3,4,5,6,7}}=>0
[1,7,6,5,3,4,2]=>[1,5,6,7,3,2,4]=>{{1},{2,3,5,6},{4,7}}=>0
[1,7,6,5,4,2,3]=>[1,5,6,7,2,4,3]=>{{1},{2,5},{3,4,6,7}}=>0
[1,7,6,5,4,3,2]=>[1,5,6,7,2,3,4]=>{{1},{2,5},{3,6},{4,7}}=>0
[2,1,3,4,5,6,7]=>[2,1,3,4,5,6,7]=>{{1,2},{3},{4},{5},{6},{7}}=>0
[2,1,3,4,5,7,6]=>[2,1,3,4,5,7,6]=>{{1,2},{3},{4},{5},{6,7}}=>0
[2,1,3,4,6,5,7]=>[2,1,3,4,6,5,7]=>{{1,2},{3},{4},{5,6},{7}}=>0
[2,1,3,4,6,7,5]=>[2,1,3,4,7,6,5]=>{{1,2},{3},{4},{5,7},{6}}=>1
[2,1,3,4,7,5,6]=>[2,1,3,4,7,5,6]=>{{1,2},{3},{4},{5,6,7}}=>0
[2,1,3,4,7,6,5]=>[2,1,3,4,6,7,5]=>{{1,2},{3},{4},{5,6,7}}=>0
[2,1,3,5,4,6,7]=>[2,1,3,5,4,6,7]=>{{1,2},{3},{4,5},{6},{7}}=>0
[2,1,3,5,4,7,6]=>[2,1,3,5,4,7,6]=>{{1,2},{3},{4,5},{6,7}}=>0
[2,1,3,5,6,4,7]=>[2,1,3,6,5,4,7]=>{{1,2},{3},{4,6},{5},{7}}=>1
[2,1,3,5,6,7,4]=>[2,1,3,7,5,6,4]=>{{1,2},{3},{4,7},{5},{6}}=>2
[2,1,3,5,7,4,6]=>[2,1,3,7,5,4,6]=>{{1,2},{3},{4,6,7},{5}}=>2
[2,1,3,5,7,6,4]=>[2,1,3,6,5,7,4]=>{{1,2},{3},{4,6,7},{5}}=>2
[2,1,3,6,4,5,7]=>[2,1,3,6,4,5,7]=>{{1,2},{3},{4,5,6},{7}}=>0
[2,1,3,6,4,7,5]=>[2,1,3,7,4,6,5]=>{{1,2},{3},{4,5,7},{6}}=>1
[2,1,3,6,5,4,7]=>[2,1,3,5,6,4,7]=>{{1,2},{3},{4,5,6},{7}}=>0
[2,1,3,6,5,7,4]=>[2,1,3,5,7,6,4]=>{{1,2},{3},{4,5,7},{6}}=>1
[2,1,3,6,7,4,5]=>[2,1,3,7,6,5,4]=>{{1,2},{3},{4,7},{5,6}}=>1
[2,1,3,6,7,5,4]=>[2,1,3,7,6,4,5]=>{{1,2},{3},{4,5,6,7}}=>0
[2,1,3,7,4,5,6]=>[2,1,3,7,4,5,6]=>{{1,2},{3},{4,5,6,7}}=>0
[2,1,3,7,4,6,5]=>[2,1,3,6,4,7,5]=>{{1,2},{3},{4,5,6,7}}=>0
[2,1,3,7,5,4,6]=>[2,1,3,5,7,4,6]=>{{1,2},{3},{4,5,6,7}}=>0
[2,1,3,7,5,6,4]=>[2,1,3,5,6,7,4]=>{{1,2},{3},{4,5,6,7}}=>0
[2,1,3,7,6,4,5]=>[2,1,3,6,7,5,4]=>{{1,2},{3},{4,5,6,7}}=>0
[2,1,3,7,6,5,4]=>[2,1,3,6,7,4,5]=>{{1,2},{3},{4,6},{5,7}}=>0
[2,1,4,3,5,6,7]=>[2,1,4,3,5,6,7]=>{{1,2},{3,4},{5},{6},{7}}=>0
[2,1,4,3,5,7,6]=>[2,1,4,3,5,7,6]=>{{1,2},{3,4},{5},{6,7}}=>0
[2,1,4,3,6,5,7]=>[2,1,4,3,6,5,7]=>{{1,2},{3,4},{5,6},{7}}=>0
[2,1,4,3,6,7,5]=>[2,1,4,3,7,6,5]=>{{1,2},{3,4},{5,7},{6}}=>1
[2,1,4,3,7,5,6]=>[2,1,4,3,7,5,6]=>{{1,2},{3,4},{5,6,7}}=>0
[2,1,4,3,7,6,5]=>[2,1,4,3,6,7,5]=>{{1,2},{3,4},{5,6,7}}=>0
[2,1,4,5,3,6,7]=>[2,1,5,4,3,6,7]=>{{1,2},{3,5},{4},{6},{7}}=>1
[2,1,4,5,3,7,6]=>[2,1,5,4,3,7,6]=>{{1,2},{3,5},{4},{6,7}}=>1
[2,1,4,5,6,3,7]=>[2,1,6,4,5,3,7]=>{{1,2},{3,6},{4},{5},{7}}=>2
[2,1,4,5,6,7,3]=>[2,1,7,4,5,6,3]=>{{1,2},{3,7},{4},{5},{6}}=>3
[2,1,4,5,7,3,6]=>[2,1,7,4,5,3,6]=>{{1,2},{3,6,7},{4},{5}}=>4
[2,1,4,5,7,6,3]=>[2,1,6,4,5,7,3]=>{{1,2},{3,6,7},{4},{5}}=>4
[2,1,4,6,3,5,7]=>[2,1,6,4,3,5,7]=>{{1,2},{3,5,6},{4},{7}}=>2
[2,1,4,6,3,7,5]=>[2,1,7,4,3,6,5]=>{{1,2},{3,5,7},{4},{6}}=>3
[2,1,4,6,5,3,7]=>[2,1,5,4,6,3,7]=>{{1,2},{3,5,6},{4},{7}}=>2
[2,1,4,6,5,7,3]=>[2,1,5,4,7,6,3]=>{{1,2},{3,5,7},{4},{6}}=>3
[2,1,4,6,7,3,5]=>[2,1,7,4,6,5,3]=>{{1,2},{3,7},{4},{5,6}}=>2
[2,1,4,6,7,5,3]=>[2,1,7,4,6,3,5]=>{{1,2},{3,5,6,7},{4}}=>3
[2,1,4,7,3,5,6]=>[2,1,7,4,3,5,6]=>{{1,2},{3,5,6,7},{4}}=>3
[2,1,4,7,3,6,5]=>[2,1,6,4,3,7,5]=>{{1,2},{3,5,6,7},{4}}=>3
[2,1,4,7,5,3,6]=>[2,1,5,4,7,3,6]=>{{1,2},{3,5,6,7},{4}}=>3
[2,1,4,7,5,6,3]=>[2,1,5,4,6,7,3]=>{{1,2},{3,5,6,7},{4}}=>3
[2,1,4,7,6,3,5]=>[2,1,6,4,7,5,3]=>{{1,2},{3,5,6,7},{4}}=>3
[2,1,4,7,6,5,3]=>[2,1,6,4,7,3,5]=>{{1,2},{3,6},{4},{5,7}}=>1
[2,1,5,3,4,6,7]=>[2,1,5,3,4,6,7]=>{{1,2},{3,4,5},{6},{7}}=>0
[2,1,5,3,4,7,6]=>[2,1,5,3,4,7,6]=>{{1,2},{3,4,5},{6,7}}=>0
[2,1,5,3,6,4,7]=>[2,1,6,3,5,4,7]=>{{1,2},{3,4,6},{5},{7}}=>1
[2,1,5,3,6,7,4]=>[2,1,7,3,5,6,4]=>{{1,2},{3,4,7},{5},{6}}=>2
[2,1,5,3,7,4,6]=>[2,1,7,3,5,4,6]=>{{1,2},{3,4,6,7},{5}}=>2
[2,1,5,3,7,6,4]=>[2,1,6,3,5,7,4]=>{{1,2},{3,4,6,7},{5}}=>2
[2,1,5,4,3,6,7]=>[2,1,4,5,3,6,7]=>{{1,2},{3,4,5},{6},{7}}=>0
[2,1,5,4,3,7,6]=>[2,1,4,5,3,7,6]=>{{1,2},{3,4,5},{6,7}}=>0
[2,1,5,4,6,3,7]=>[2,1,4,6,5,3,7]=>{{1,2},{3,4,6},{5},{7}}=>1
[2,1,5,4,6,7,3]=>[2,1,4,7,5,6,3]=>{{1,2},{3,4,7},{5},{6}}=>2
[2,1,5,4,7,3,6]=>[2,1,4,7,5,3,6]=>{{1,2},{3,4,6,7},{5}}=>2
[2,1,5,4,7,6,3]=>[2,1,4,6,5,7,3]=>{{1,2},{3,4,6,7},{5}}=>2
[2,1,5,6,3,4,7]=>[2,1,6,5,4,3,7]=>{{1,2},{3,6},{4,5},{7}}=>1
[2,1,5,6,3,7,4]=>[2,1,7,5,4,6,3]=>{{1,2},{3,7},{4,5},{6}}=>2
[2,1,5,6,4,3,7]=>[2,1,6,5,3,4,7]=>{{1,2},{3,4,5,6},{7}}=>0
[2,1,5,6,4,7,3]=>[2,1,7,5,3,6,4]=>{{1,2},{3,4,5,7},{6}}=>1
[2,1,5,6,7,3,4]=>[2,1,7,6,5,4,3]=>{{1,2},{3,7},{4,6},{5}}=>3
[2,1,5,6,7,4,3]=>[2,1,7,6,5,3,4]=>{{1,2},{3,4,6,7},{5}}=>2
[2,1,5,7,3,4,6]=>[2,1,7,5,4,3,6]=>{{1,2},{3,6,7},{4,5}}=>2
[2,1,5,7,3,6,4]=>[2,1,6,5,4,7,3]=>{{1,2},{3,6,7},{4,5}}=>2
[2,1,5,7,4,3,6]=>[2,1,7,5,3,4,6]=>{{1,2},{3,4,5,6,7}}=>0
[2,1,5,7,4,6,3]=>[2,1,6,5,3,7,4]=>{{1,2},{3,4,5,6,7}}=>0
[2,1,5,7,6,3,4]=>[2,1,7,5,6,4,3]=>{{1,2},{3,7},{4,5,6}}=>1
[2,1,5,7,6,4,3]=>[2,1,7,5,6,3,4]=>{{1,2},{3,4,5,6,7}}=>0
[2,1,6,3,4,5,7]=>[2,1,6,3,4,5,7]=>{{1,2},{3,4,5,6},{7}}=>0
[2,1,6,3,4,7,5]=>[2,1,7,3,4,6,5]=>{{1,2},{3,4,5,7},{6}}=>1
[2,1,6,3,5,4,7]=>[2,1,5,3,6,4,7]=>{{1,2},{3,4,5,6},{7}}=>0
[2,1,6,3,5,7,4]=>[2,1,5,3,7,6,4]=>{{1,2},{3,4,5,7},{6}}=>1
[2,1,6,3,7,4,5]=>[2,1,7,3,6,5,4]=>{{1,2},{3,4,7},{5,6}}=>1
[2,1,6,3,7,5,4]=>[2,1,7,3,6,4,5]=>{{1,2},{3,4,5,6,7}}=>0
[2,1,6,4,3,5,7]=>[2,1,4,6,3,5,7]=>{{1,2},{3,4,5,6},{7}}=>0
[2,1,6,4,3,7,5]=>[2,1,4,7,3,6,5]=>{{1,2},{3,4,5,7},{6}}=>1
[2,1,6,4,5,3,7]=>[2,1,4,5,6,3,7]=>{{1,2},{3,4,5,6},{7}}=>0
[2,1,6,4,5,7,3]=>[2,1,4,5,7,6,3]=>{{1,2},{3,4,5,7},{6}}=>1
[2,1,6,4,7,3,5]=>[2,1,4,7,6,5,3]=>{{1,2},{3,4,7},{5,6}}=>1
[2,1,6,4,7,5,3]=>[2,1,4,7,6,3,5]=>{{1,2},{3,4,5,6,7}}=>0
[2,1,6,5,3,4,7]=>[2,1,5,6,4,3,7]=>{{1,2},{3,4,5,6},{7}}=>0
[2,1,6,5,3,7,4]=>[2,1,5,7,4,6,3]=>{{1,2},{3,4,5,7},{6}}=>1
[2,1,6,5,4,3,7]=>[2,1,5,6,3,4,7]=>{{1,2},{3,5},{4,6},{7}}=>0
[2,1,6,5,4,7,3]=>[2,1,5,7,3,6,4]=>{{1,2},{3,5},{4,7},{6}}=>1
[2,1,6,5,7,3,4]=>[2,1,6,7,5,4,3]=>{{1,2},{3,4,6,7},{5}}=>2
[2,1,6,5,7,4,3]=>[2,1,6,7,5,3,4]=>{{1,2},{3,6},{4,7},{5}}=>2
[2,1,6,7,3,4,5]=>[2,1,7,6,4,5,3]=>{{1,2},{3,7},{4,5,6}}=>1
[2,1,6,7,3,5,4]=>[2,1,7,6,4,3,5]=>{{1,2},{3,4,5,6,7}}=>0
[2,1,6,7,4,3,5]=>[2,1,7,6,3,5,4]=>{{1,2},{3,4,5,6,7}}=>0
[2,1,6,7,4,5,3]=>[2,1,7,6,3,4,5]=>{{1,2},{3,5,7},{4,6}}=>1
[2,1,6,7,5,3,4]=>[2,1,6,5,7,4,3]=>{{1,2},{3,4,5,6,7}}=>0
[2,1,6,7,5,4,3]=>[2,1,6,5,7,3,4]=>{{1,2},{3,6},{4,5,7}}=>0
[2,1,7,3,4,5,6]=>[2,1,7,3,4,5,6]=>{{1,2},{3,4,5,6,7}}=>0
[2,1,7,3,4,6,5]=>[2,1,6,3,4,7,5]=>{{1,2},{3,4,5,6,7}}=>0
[2,1,7,3,5,4,6]=>[2,1,5,3,7,4,6]=>{{1,2},{3,4,5,6,7}}=>0
[2,1,7,3,5,6,4]=>[2,1,5,3,6,7,4]=>{{1,2},{3,4,5,6,7}}=>0
[2,1,7,3,6,4,5]=>[2,1,6,3,7,5,4]=>{{1,2},{3,4,5,6,7}}=>0
[2,1,7,3,6,5,4]=>[2,1,6,3,7,4,5]=>{{1,2},{3,4,6},{5,7}}=>0
[2,1,7,4,3,5,6]=>[2,1,4,7,3,5,6]=>{{1,2},{3,4,5,6,7}}=>0
[2,1,7,4,3,6,5]=>[2,1,4,6,3,7,5]=>{{1,2},{3,4,5,6,7}}=>0
[2,1,7,4,5,3,6]=>[2,1,4,5,7,3,6]=>{{1,2},{3,4,5,6,7}}=>0
[2,1,7,4,5,6,3]=>[2,1,4,5,6,7,3]=>{{1,2},{3,4,5,6,7}}=>0
[2,1,7,4,6,3,5]=>[2,1,4,6,7,5,3]=>{{1,2},{3,4,5,6,7}}=>0
[2,1,7,4,6,5,3]=>[2,1,4,6,7,3,5]=>{{1,2},{3,4,6},{5,7}}=>0
[2,1,7,5,3,4,6]=>[2,1,5,7,4,3,6]=>{{1,2},{3,4,5,6,7}}=>0
[2,1,7,5,3,6,4]=>[2,1,5,6,4,7,3]=>{{1,2},{3,4,5,6,7}}=>0
[2,1,7,5,4,3,6]=>[2,1,5,7,3,4,6]=>{{1,2},{3,5},{4,6,7}}=>0
[2,1,7,5,4,6,3]=>[2,1,5,6,3,7,4]=>{{1,2},{3,5},{4,6,7}}=>0
[2,1,7,5,6,3,4]=>[2,1,5,7,6,4,3]=>{{1,2},{3,4,5,6,7}}=>0
[2,1,7,5,6,4,3]=>[2,1,5,7,6,3,4]=>{{1,2},{3,5,6},{4,7}}=>0
[2,1,7,6,3,4,5]=>[2,1,6,7,4,5,3]=>{{1,2},{3,4,5,6,7}}=>0
[2,1,7,6,3,5,4]=>[2,1,6,7,4,3,5]=>{{1,2},{3,6},{4,5,7}}=>0
[2,1,7,6,4,3,5]=>[2,1,6,7,3,5,4]=>{{1,2},{3,5,6},{4,7}}=>0
[2,1,7,6,4,5,3]=>[2,1,6,7,3,4,5]=>{{1,2},{3,4,5,6,7}}=>0
[2,1,7,6,5,3,4]=>[2,1,5,6,7,4,3]=>{{1,2},{3,5,7},{4,6}}=>1
[2,1,7,6,5,4,3]=>[2,1,5,6,7,3,4]=>{{1,2},{3,4,5,6,7}}=>0
[2,3,1,4,5,6,7]=>[3,2,1,4,5,6,7]=>{{1,3},{2},{4},{5},{6},{7}}=>1
[2,3,1,4,5,7,6]=>[3,2,1,4,5,7,6]=>{{1,3},{2},{4},{5},{6,7}}=>1
[2,3,1,4,6,5,7]=>[3,2,1,4,6,5,7]=>{{1,3},{2},{4},{5,6},{7}}=>1
[2,3,1,4,6,7,5]=>[3,2,1,4,7,6,5]=>{{1,3},{2},{4},{5,7},{6}}=>2
[2,3,1,4,7,5,6]=>[3,2,1,4,7,5,6]=>{{1,3},{2},{4},{5,6,7}}=>1
[2,3,1,4,7,6,5]=>[3,2,1,4,6,7,5]=>{{1,3},{2},{4},{5,6,7}}=>1
[2,3,1,5,4,6,7]=>[3,2,1,5,4,6,7]=>{{1,3},{2},{4,5},{6},{7}}=>1
[2,3,1,5,4,7,6]=>[3,2,1,5,4,7,6]=>{{1,3},{2},{4,5},{6,7}}=>1
[2,3,1,5,6,4,7]=>[3,2,1,6,5,4,7]=>{{1,3},{2},{4,6},{5},{7}}=>2
[2,3,1,5,6,7,4]=>[3,2,1,7,5,6,4]=>{{1,3},{2},{4,7},{5},{6}}=>3
[2,3,1,5,7,4,6]=>[3,2,1,7,5,4,6]=>{{1,3},{2},{4,6,7},{5}}=>3
[2,3,1,5,7,6,4]=>[3,2,1,6,5,7,4]=>{{1,3},{2},{4,6,7},{5}}=>3
[2,3,1,6,4,5,7]=>[3,2,1,6,4,5,7]=>{{1,3},{2},{4,5,6},{7}}=>1
[2,3,1,6,4,7,5]=>[3,2,1,7,4,6,5]=>{{1,3},{2},{4,5,7},{6}}=>2
[2,3,1,6,5,4,7]=>[3,2,1,5,6,4,7]=>{{1,3},{2},{4,5,6},{7}}=>1
[2,3,1,6,5,7,4]=>[3,2,1,5,7,6,4]=>{{1,3},{2},{4,5,7},{6}}=>2
[2,3,1,6,7,4,5]=>[3,2,1,7,6,5,4]=>{{1,3},{2},{4,7},{5,6}}=>2
[2,3,1,6,7,5,4]=>[3,2,1,7,6,4,5]=>{{1,3},{2},{4,5,6,7}}=>1
[2,3,1,7,4,5,6]=>[3,2,1,7,4,5,6]=>{{1,3},{2},{4,5,6,7}}=>1
[2,3,1,7,4,6,5]=>[3,2,1,6,4,7,5]=>{{1,3},{2},{4,5,6,7}}=>1
[2,3,1,7,5,4,6]=>[3,2,1,5,7,4,6]=>{{1,3},{2},{4,5,6,7}}=>1
[2,3,1,7,5,6,4]=>[3,2,1,5,6,7,4]=>{{1,3},{2},{4,5,6,7}}=>1
[2,3,1,7,6,4,5]=>[3,2,1,6,7,5,4]=>{{1,3},{2},{4,5,6,7}}=>1
[2,3,1,7,6,5,4]=>[3,2,1,6,7,4,5]=>{{1,3},{2},{4,6},{5,7}}=>1
[2,3,4,1,5,6,7]=>[4,2,3,1,5,6,7]=>{{1,4},{2},{3},{5},{6},{7}}=>2
[2,3,4,1,5,7,6]=>[4,2,3,1,5,7,6]=>{{1,4},{2},{3},{5},{6,7}}=>2
[2,3,4,1,6,5,7]=>[4,2,3,1,6,5,7]=>{{1,4},{2},{3},{5,6},{7}}=>2
[2,3,4,1,6,7,5]=>[4,2,3,1,7,6,5]=>{{1,4},{2},{3},{5,7},{6}}=>3
[2,3,4,1,7,5,6]=>[4,2,3,1,7,5,6]=>{{1,4},{2},{3},{5,6,7}}=>2
[2,3,4,1,7,6,5]=>[4,2,3,1,6,7,5]=>{{1,4},{2},{3},{5,6,7}}=>2
[2,3,4,5,1,6,7]=>[5,2,3,4,1,6,7]=>{{1,5},{2},{3},{4},{6},{7}}=>3
[2,3,4,5,1,7,6]=>[5,2,3,4,1,7,6]=>{{1,5},{2},{3},{4},{6,7}}=>3
[2,3,4,5,6,1,7]=>[6,2,3,4,5,1,7]=>{{1,6},{2},{3},{4},{5},{7}}=>4
[2,3,4,5,6,7,1]=>[7,2,3,4,5,6,1]=>{{1,7},{2},{3},{4},{5},{6}}=>5
[2,3,4,5,7,1,6]=>[7,2,3,4,5,1,6]=>{{1,6,7},{2},{3},{4},{5}}=>8
[2,3,4,5,7,6,1]=>[6,2,3,4,5,7,1]=>{{1,6,7},{2},{3},{4},{5}}=>8
[2,3,4,6,1,5,7]=>[6,2,3,4,1,5,7]=>{{1,5,6},{2},{3},{4},{7}}=>6
[2,3,4,6,1,7,5]=>[7,2,3,4,1,6,5]=>{{1,5,7},{2},{3},{4},{6}}=>7
[2,3,4,6,5,1,7]=>[5,2,3,4,6,1,7]=>{{1,5,6},{2},{3},{4},{7}}=>6
[2,3,4,6,5,7,1]=>[5,2,3,4,7,6,1]=>{{1,5,7},{2},{3},{4},{6}}=>7
[2,3,4,6,7,1,5]=>[7,2,3,4,6,5,1]=>{{1,7},{2},{3},{4},{5,6}}=>4
[2,3,4,6,7,5,1]=>[7,2,3,4,6,1,5]=>{{1,5,6,7},{2},{3},{4}}=>9
[2,3,4,7,1,5,6]=>[7,2,3,4,1,5,6]=>{{1,5,6,7},{2},{3},{4}}=>9
[2,3,4,7,1,6,5]=>[6,2,3,4,1,7,5]=>{{1,5,6,7},{2},{3},{4}}=>9
[2,3,4,7,5,1,6]=>[5,2,3,4,7,1,6]=>{{1,5,6,7},{2},{3},{4}}=>9
[2,3,4,7,5,6,1]=>[5,2,3,4,6,7,1]=>{{1,5,6,7},{2},{3},{4}}=>9
[2,3,4,7,6,1,5]=>[6,2,3,4,7,5,1]=>{{1,5,6,7},{2},{3},{4}}=>9
[2,3,4,7,6,5,1]=>[6,2,3,4,7,1,5]=>{{1,6},{2},{3},{4},{5,7}}=>3
[2,3,5,1,4,6,7]=>[5,2,3,1,4,6,7]=>{{1,4,5},{2},{3},{6},{7}}=>4
[2,3,5,1,4,7,6]=>[5,2,3,1,4,7,6]=>{{1,4,5},{2},{3},{6,7}}=>4
[2,3,5,1,6,4,7]=>[6,2,3,1,5,4,7]=>{{1,4,6},{2},{3},{5},{7}}=>5
[2,3,5,1,6,7,4]=>[7,2,3,1,5,6,4]=>{{1,4,7},{2},{3},{5},{6}}=>6
[2,3,5,1,7,4,6]=>[7,2,3,1,5,4,6]=>{{1,4,6,7},{2},{3},{5}}=>8
[2,3,5,1,7,6,4]=>[6,2,3,1,5,7,4]=>{{1,4,6,7},{2},{3},{5}}=>8
[2,3,5,4,1,6,7]=>[4,2,3,5,1,6,7]=>{{1,4,5},{2},{3},{6},{7}}=>4
[2,3,5,4,1,7,6]=>[4,2,3,5,1,7,6]=>{{1,4,5},{2},{3},{6,7}}=>4
[2,3,5,4,6,1,7]=>[4,2,3,6,5,1,7]=>{{1,4,6},{2},{3},{5},{7}}=>5
[2,3,5,4,6,7,1]=>[4,2,3,7,5,6,1]=>{{1,4,7},{2},{3},{5},{6}}=>6
[2,3,5,4,7,1,6]=>[4,2,3,7,5,1,6]=>{{1,4,6,7},{2},{3},{5}}=>8
[2,3,5,4,7,6,1]=>[4,2,3,6,5,7,1]=>{{1,4,6,7},{2},{3},{5}}=>8
[2,3,5,6,1,4,7]=>[6,2,3,5,4,1,7]=>{{1,6},{2},{3},{4,5},{7}}=>3
[2,3,5,6,1,7,4]=>[7,2,3,5,4,6,1]=>{{1,7},{2},{3},{4,5},{6}}=>4
[2,3,5,6,4,1,7]=>[6,2,3,5,1,4,7]=>{{1,4,5,6},{2},{3},{7}}=>6
[2,3,5,6,4,7,1]=>[7,2,3,5,1,6,4]=>{{1,4,5,7},{2},{3},{6}}=>7
[2,3,5,6,7,1,4]=>[7,2,3,6,5,4,1]=>{{1,7},{2},{3},{4,6},{5}}=>5
[2,3,5,6,7,4,1]=>[7,2,3,6,5,1,4]=>{{1,4,6,7},{2},{3},{5}}=>8
[2,3,5,7,1,4,6]=>[7,2,3,5,4,1,6]=>{{1,6,7},{2},{3},{4,5}}=>6
[2,3,5,7,1,6,4]=>[6,2,3,5,4,7,1]=>{{1,6,7},{2},{3},{4,5}}=>6
[2,3,5,7,4,1,6]=>[7,2,3,5,1,4,6]=>{{1,4,5,6,7},{2},{3}}=>8
[2,3,5,7,4,6,1]=>[6,2,3,5,1,7,4]=>{{1,4,5,6,7},{2},{3}}=>8
[2,3,5,7,6,1,4]=>[7,2,3,5,6,4,1]=>{{1,7},{2},{3},{4,5,6}}=>3
[2,3,5,7,6,4,1]=>[7,2,3,5,6,1,4]=>{{1,4,5,6,7},{2},{3}}=>8
[2,3,6,1,4,5,7]=>[6,2,3,1,4,5,7]=>{{1,4,5,6},{2},{3},{7}}=>6
[2,3,6,1,4,7,5]=>[7,2,3,1,4,6,5]=>{{1,4,5,7},{2},{3},{6}}=>7
[2,3,6,1,5,4,7]=>[5,2,3,1,6,4,7]=>{{1,4,5,6},{2},{3},{7}}=>6
[2,3,6,1,5,7,4]=>[5,2,3,1,7,6,4]=>{{1,4,5,7},{2},{3},{6}}=>7
[2,3,6,1,7,4,5]=>[7,2,3,1,6,5,4]=>{{1,4,7},{2},{3},{5,6}}=>5
[2,3,6,1,7,5,4]=>[7,2,3,1,6,4,5]=>{{1,4,5,6,7},{2},{3}}=>8
[2,3,6,4,1,5,7]=>[4,2,3,6,1,5,7]=>{{1,4,5,6},{2},{3},{7}}=>6
[2,3,6,4,1,7,5]=>[4,2,3,7,1,6,5]=>{{1,4,5,7},{2},{3},{6}}=>7
[2,3,6,4,5,1,7]=>[4,2,3,5,6,1,7]=>{{1,4,5,6},{2},{3},{7}}=>6
[2,3,6,4,5,7,1]=>[4,2,3,5,7,6,1]=>{{1,4,5,7},{2},{3},{6}}=>7
[2,3,6,4,7,1,5]=>[4,2,3,7,6,5,1]=>{{1,4,7},{2},{3},{5,6}}=>5
[2,3,6,4,7,5,1]=>[4,2,3,7,6,1,5]=>{{1,4,5,6,7},{2},{3}}=>8
[2,3,6,5,1,4,7]=>[5,2,3,6,4,1,7]=>{{1,4,5,6},{2},{3},{7}}=>6
[2,3,6,5,1,7,4]=>[5,2,3,7,4,6,1]=>{{1,4,5,7},{2},{3},{6}}=>7
[2,3,6,5,4,1,7]=>[5,2,3,6,1,4,7]=>{{1,5},{2},{3},{4,6},{7}}=>2
[2,3,6,5,4,7,1]=>[5,2,3,7,1,6,4]=>{{1,5},{2},{3},{4,7},{6}}=>3
[2,3,6,5,7,1,4]=>[6,2,3,7,5,4,1]=>{{1,4,6,7},{2},{3},{5}}=>8
[2,3,6,5,7,4,1]=>[6,2,3,7,5,1,4]=>{{1,6},{2},{3},{4,7},{5}}=>4
[2,3,6,7,1,4,5]=>[7,2,3,6,4,5,1]=>{{1,7},{2},{3},{4,5,6}}=>3
[2,3,6,7,1,5,4]=>[7,2,3,6,4,1,5]=>{{1,4,5,6,7},{2},{3}}=>8
[2,3,6,7,4,1,5]=>[7,2,3,6,1,5,4]=>{{1,4,5,6,7},{2},{3}}=>8
[2,3,6,7,4,5,1]=>[7,2,3,6,1,4,5]=>{{1,5,7},{2},{3},{4,6}}=>5
[2,3,6,7,5,1,4]=>[6,2,3,5,7,4,1]=>{{1,4,5,6,7},{2},{3}}=>8
[2,3,6,7,5,4,1]=>[6,2,3,5,7,1,4]=>{{1,6},{2},{3},{4,5,7}}=>2
[2,3,7,1,4,5,6]=>[7,2,3,1,4,5,6]=>{{1,4,5,6,7},{2},{3}}=>8
[2,3,7,1,4,6,5]=>[6,2,3,1,4,7,5]=>{{1,4,5,6,7},{2},{3}}=>8
[2,3,7,1,5,4,6]=>[5,2,3,1,7,4,6]=>{{1,4,5,6,7},{2},{3}}=>8
[2,3,7,1,5,6,4]=>[5,2,3,1,6,7,4]=>{{1,4,5,6,7},{2},{3}}=>8
[2,3,7,1,6,4,5]=>[6,2,3,1,7,5,4]=>{{1,4,5,6,7},{2},{3}}=>8
[2,3,7,1,6,5,4]=>[6,2,3,1,7,4,5]=>{{1,4,6},{2},{3},{5,7}}=>4
[2,3,7,4,1,5,6]=>[4,2,3,7,1,5,6]=>{{1,4,5,6,7},{2},{3}}=>8
[2,3,7,4,1,6,5]=>[4,2,3,6,1,7,5]=>{{1,4,5,6,7},{2},{3}}=>8
[2,3,7,4,5,1,6]=>[4,2,3,5,7,1,6]=>{{1,4,5,6,7},{2},{3}}=>8
[2,3,7,4,5,6,1]=>[4,2,3,5,6,7,1]=>{{1,4,5,6,7},{2},{3}}=>8
[2,3,7,4,6,1,5]=>[4,2,3,6,7,5,1]=>{{1,4,5,6,7},{2},{3}}=>8
[2,3,7,4,6,5,1]=>[4,2,3,6,7,1,5]=>{{1,4,6},{2},{3},{5,7}}=>4
[2,3,7,5,1,4,6]=>[5,2,3,7,4,1,6]=>{{1,4,5,6,7},{2},{3}}=>8
[2,3,7,5,1,6,4]=>[5,2,3,6,4,7,1]=>{{1,4,5,6,7},{2},{3}}=>8
[2,3,7,5,4,1,6]=>[5,2,3,7,1,4,6]=>{{1,5},{2},{3},{4,6,7}}=>2
[2,3,7,5,4,6,1]=>[5,2,3,6,1,7,4]=>{{1,5},{2},{3},{4,6,7}}=>2
[2,3,7,5,6,1,4]=>[5,2,3,7,6,4,1]=>{{1,4,5,6,7},{2},{3}}=>8
[2,3,7,5,6,4,1]=>[5,2,3,7,6,1,4]=>{{1,5,6},{2},{3},{4,7}}=>4
[2,3,7,6,1,4,5]=>[6,2,3,7,4,5,1]=>{{1,4,5,6,7},{2},{3}}=>8
[2,3,7,6,1,5,4]=>[6,2,3,7,4,1,5]=>{{1,6},{2},{3},{4,5,7}}=>2
[2,3,7,6,4,1,5]=>[6,2,3,7,1,5,4]=>{{1,5,6},{2},{3},{4,7}}=>4
[2,3,7,6,4,5,1]=>[6,2,3,7,1,4,5]=>{{1,4,5,6,7},{2},{3}}=>8
[2,3,7,6,5,1,4]=>[5,2,3,6,7,4,1]=>{{1,5,7},{2},{3},{4,6}}=>5
[2,3,7,6,5,4,1]=>[5,2,3,6,7,1,4]=>{{1,4,5,6,7},{2},{3}}=>8
[2,4,1,3,5,6,7]=>[4,2,1,3,5,6,7]=>{{1,3,4},{2},{5},{6},{7}}=>2
[2,4,1,3,5,7,6]=>[4,2,1,3,5,7,6]=>{{1,3,4},{2},{5},{6,7}}=>2
[2,4,1,3,6,5,7]=>[4,2,1,3,6,5,7]=>{{1,3,4},{2},{5,6},{7}}=>2
[2,4,1,3,6,7,5]=>[4,2,1,3,7,6,5]=>{{1,3,4},{2},{5,7},{6}}=>3
[2,4,1,3,7,5,6]=>[4,2,1,3,7,5,6]=>{{1,3,4},{2},{5,6,7}}=>2
[2,4,1,3,7,6,5]=>[4,2,1,3,6,7,5]=>{{1,3,4},{2},{5,6,7}}=>2
[2,4,1,5,3,6,7]=>[5,2,1,4,3,6,7]=>{{1,3,5},{2},{4},{6},{7}}=>3
[2,4,1,5,3,7,6]=>[5,2,1,4,3,7,6]=>{{1,3,5},{2},{4},{6,7}}=>3
[2,4,1,5,6,3,7]=>[6,2,1,4,5,3,7]=>{{1,3,6},{2},{4},{5},{7}}=>4
[2,4,1,5,6,7,3]=>[7,2,1,4,5,6,3]=>{{1,3,7},{2},{4},{5},{6}}=>5
[2,4,1,5,7,3,6]=>[7,2,1,4,5,3,6]=>{{1,3,6,7},{2},{4},{5}}=>7
[2,4,1,5,7,6,3]=>[6,2,1,4,5,7,3]=>{{1,3,6,7},{2},{4},{5}}=>7
[2,4,1,6,3,5,7]=>[6,2,1,4,3,5,7]=>{{1,3,5,6},{2},{4},{7}}=>5
[2,4,1,6,3,7,5]=>[7,2,1,4,3,6,5]=>{{1,3,5,7},{2},{4},{6}}=>6
[2,4,1,6,5,3,7]=>[5,2,1,4,6,3,7]=>{{1,3,5,6},{2},{4},{7}}=>5
[2,4,1,6,5,7,3]=>[5,2,1,4,7,6,3]=>{{1,3,5,7},{2},{4},{6}}=>6
[2,4,1,6,7,3,5]=>[7,2,1,4,6,5,3]=>{{1,3,7},{2},{4},{5,6}}=>4
[2,4,1,6,7,5,3]=>[7,2,1,4,6,3,5]=>{{1,3,5,6,7},{2},{4}}=>7
[2,4,1,7,3,5,6]=>[7,2,1,4,3,5,6]=>{{1,3,5,6,7},{2},{4}}=>7
[2,4,1,7,3,6,5]=>[6,2,1,4,3,7,5]=>{{1,3,5,6,7},{2},{4}}=>7
[2,4,1,7,5,3,6]=>[5,2,1,4,7,3,6]=>{{1,3,5,6,7},{2},{4}}=>7
[2,4,1,7,5,6,3]=>[5,2,1,4,6,7,3]=>{{1,3,5,6,7},{2},{4}}=>7
[2,4,1,7,6,3,5]=>[6,2,1,4,7,5,3]=>{{1,3,5,6,7},{2},{4}}=>7
[2,4,1,7,6,5,3]=>[6,2,1,4,7,3,5]=>{{1,3,6},{2},{4},{5,7}}=>3
[2,4,3,1,5,6,7]=>[3,2,4,1,5,6,7]=>{{1,3,4},{2},{5},{6},{7}}=>2
[2,4,3,1,5,7,6]=>[3,2,4,1,5,7,6]=>{{1,3,4},{2},{5},{6,7}}=>2
[2,4,3,1,6,5,7]=>[3,2,4,1,6,5,7]=>{{1,3,4},{2},{5,6},{7}}=>2
[2,4,3,1,6,7,5]=>[3,2,4,1,7,6,5]=>{{1,3,4},{2},{5,7},{6}}=>3
[2,4,3,1,7,5,6]=>[3,2,4,1,7,5,6]=>{{1,3,4},{2},{5,6,7}}=>2
[2,4,3,1,7,6,5]=>[3,2,4,1,6,7,5]=>{{1,3,4},{2},{5,6,7}}=>2
[2,4,3,5,1,6,7]=>[3,2,5,4,1,6,7]=>{{1,3,5},{2},{4},{6},{7}}=>3
[2,4,3,5,1,7,6]=>[3,2,5,4,1,7,6]=>{{1,3,5},{2},{4},{6,7}}=>3
[2,4,3,5,6,1,7]=>[3,2,6,4,5,1,7]=>{{1,3,6},{2},{4},{5},{7}}=>4
[2,4,3,5,6,7,1]=>[3,2,7,4,5,6,1]=>{{1,3,7},{2},{4},{5},{6}}=>5
[2,4,3,5,7,1,6]=>[3,2,7,4,5,1,6]=>{{1,3,6,7},{2},{4},{5}}=>7
[2,4,3,5,7,6,1]=>[3,2,6,4,5,7,1]=>{{1,3,6,7},{2},{4},{5}}=>7
[2,4,3,6,1,5,7]=>[3,2,6,4,1,5,7]=>{{1,3,5,6},{2},{4},{7}}=>5
[2,4,3,6,1,7,5]=>[3,2,7,4,1,6,5]=>{{1,3,5,7},{2},{4},{6}}=>6
[2,4,3,6,5,1,7]=>[3,2,5,4,6,1,7]=>{{1,3,5,6},{2},{4},{7}}=>5
[2,4,3,6,5,7,1]=>[3,2,5,4,7,6,1]=>{{1,3,5,7},{2},{4},{6}}=>6
[2,4,3,6,7,1,5]=>[3,2,7,4,6,5,1]=>{{1,3,7},{2},{4},{5,6}}=>4
[2,4,3,6,7,5,1]=>[3,2,7,4,6,1,5]=>{{1,3,5,6,7},{2},{4}}=>7
[2,4,3,7,1,5,6]=>[3,2,7,4,1,5,6]=>{{1,3,5,6,7},{2},{4}}=>7
[2,4,3,7,1,6,5]=>[3,2,6,4,1,7,5]=>{{1,3,5,6,7},{2},{4}}=>7
[2,4,3,7,5,1,6]=>[3,2,5,4,7,1,6]=>{{1,3,5,6,7},{2},{4}}=>7
[2,4,3,7,5,6,1]=>[3,2,5,4,6,7,1]=>{{1,3,5,6,7},{2},{4}}=>7
[2,4,3,7,6,1,5]=>[3,2,6,4,7,5,1]=>{{1,3,5,6,7},{2},{4}}=>7
[2,4,3,7,6,5,1]=>[3,2,6,4,7,1,5]=>{{1,3,6},{2},{4},{5,7}}=>3
[2,4,5,1,3,6,7]=>[5,2,4,3,1,6,7]=>{{1,5},{2},{3,4},{6},{7}}=>2
[2,4,5,1,3,7,6]=>[5,2,4,3,1,7,6]=>{{1,5},{2},{3,4},{6,7}}=>2
[2,4,5,1,6,3,7]=>[6,2,4,3,5,1,7]=>{{1,6},{2},{3,4},{5},{7}}=>3
[2,4,5,1,6,7,3]=>[7,2,4,3,5,6,1]=>{{1,7},{2},{3,4},{5},{6}}=>4
[2,4,5,1,7,3,6]=>[7,2,4,3,5,1,6]=>{{1,6,7},{2},{3,4},{5}}=>6
[2,4,5,1,7,6,3]=>[6,2,4,3,5,7,1]=>{{1,6,7},{2},{3,4},{5}}=>6
[2,4,5,3,1,6,7]=>[5,2,4,1,3,6,7]=>{{1,3,4,5},{2},{6},{7}}=>3
[2,4,5,3,1,7,6]=>[5,2,4,1,3,7,6]=>{{1,3,4,5},{2},{6,7}}=>3
[2,4,5,3,6,1,7]=>[6,2,4,1,5,3,7]=>{{1,3,4,6},{2},{5},{7}}=>4
[2,4,5,3,6,7,1]=>[7,2,4,1,5,6,3]=>{{1,3,4,7},{2},{5},{6}}=>5
[2,4,5,3,7,1,6]=>[7,2,4,1,5,3,6]=>{{1,3,4,6,7},{2},{5}}=>6
[2,4,5,3,7,6,1]=>[6,2,4,1,5,7,3]=>{{1,3,4,6,7},{2},{5}}=>6
[2,4,5,6,1,3,7]=>[6,2,5,4,3,1,7]=>{{1,6},{2},{3,5},{4},{7}}=>4
[2,4,5,6,1,7,3]=>[7,2,5,4,3,6,1]=>{{1,7},{2},{3,5},{4},{6}}=>5
[2,4,5,6,3,1,7]=>[6,2,5,4,1,3,7]=>{{1,3,5,6},{2},{4},{7}}=>5
[2,4,5,6,3,7,1]=>[7,2,5,4,1,6,3]=>{{1,3,5,7},{2},{4},{6}}=>6
[2,4,5,6,7,1,3]=>[7,2,6,4,5,3,1]=>{{1,7},{2},{3,6},{4},{5}}=>6
[2,4,5,6,7,3,1]=>[7,2,6,4,5,1,3]=>{{1,3,6,7},{2},{4},{5}}=>7
[2,4,5,7,1,3,6]=>[7,2,5,4,3,1,6]=>{{1,6,7},{2},{3,5},{4}}=>7
[2,4,5,7,1,6,3]=>[6,2,5,4,3,7,1]=>{{1,6,7},{2},{3,5},{4}}=>7
[2,4,5,7,3,1,6]=>[7,2,5,4,1,3,6]=>{{1,3,5,6,7},{2},{4}}=>7
[2,4,5,7,3,6,1]=>[6,2,5,4,1,7,3]=>{{1,3,5,6,7},{2},{4}}=>7
[2,4,5,7,6,1,3]=>[7,2,5,4,6,3,1]=>{{1,7},{2},{3,5,6},{4}}=>5
[2,4,5,7,6,3,1]=>[7,2,5,4,6,1,3]=>{{1,3,5,6,7},{2},{4}}=>7
[2,4,6,1,3,5,7]=>[6,2,4,3,1,5,7]=>{{1,5,6},{2},{3,4},{7}}=>4
[2,4,6,1,3,7,5]=>[7,2,4,3,1,6,5]=>{{1,5,7},{2},{3,4},{6}}=>5
[2,4,6,1,5,3,7]=>[5,2,4,3,6,1,7]=>{{1,5,6},{2},{3,4},{7}}=>4
[2,4,6,1,5,7,3]=>[5,2,4,3,7,6,1]=>{{1,5,7},{2},{3,4},{6}}=>5
[2,4,6,1,7,3,5]=>[7,2,4,3,6,5,1]=>{{1,7},{2},{3,4},{5,6}}=>3
[2,4,6,1,7,5,3]=>[7,2,4,3,6,1,5]=>{{1,5,6,7},{2},{3,4}}=>6
[2,4,6,3,1,5,7]=>[6,2,4,1,3,5,7]=>{{1,3,4,5,6},{2},{7}}=>4
[2,4,6,3,1,7,5]=>[7,2,4,1,3,6,5]=>{{1,3,4,5,7},{2},{6}}=>5
[2,4,6,3,5,1,7]=>[5,2,4,1,6,3,7]=>{{1,3,4,5,6},{2},{7}}=>4
[2,4,6,3,5,7,1]=>[5,2,4,1,7,6,3]=>{{1,3,4,5,7},{2},{6}}=>5
[2,4,6,3,7,1,5]=>[7,2,4,1,6,5,3]=>{{1,3,4,7},{2},{5,6}}=>4
[2,4,6,3,7,5,1]=>[7,2,4,1,6,3,5]=>{{1,3,4,5,6,7},{2}}=>5
[2,4,6,5,1,3,7]=>[6,2,4,5,3,1,7]=>{{1,6},{2},{3,4,5},{7}}=>2
[2,4,6,5,1,7,3]=>[7,2,4,5,3,6,1]=>{{1,7},{2},{3,4,5},{6}}=>3
[2,4,6,5,3,1,7]=>[6,2,4,5,1,3,7]=>{{1,3,4,5,6},{2},{7}}=>4
[2,4,6,5,3,7,1]=>[7,2,4,5,1,6,3]=>{{1,3,4,5,7},{2},{6}}=>5
[2,4,6,5,7,1,3]=>[7,2,4,6,5,3,1]=>{{1,7},{2},{3,4,6},{5}}=>4
[2,4,6,5,7,3,1]=>[7,2,4,6,5,1,3]=>{{1,3,4,6,7},{2},{5}}=>6
[2,4,6,7,1,3,5]=>[7,2,6,4,3,5,1]=>{{1,7},{2},{3,5,6},{4}}=>5
[2,4,6,7,1,5,3]=>[7,2,6,4,3,1,5]=>{{1,3,5,6,7},{2},{4}}=>7
[2,4,6,7,3,1,5]=>[7,2,6,4,1,5,3]=>{{1,3,5,6,7},{2},{4}}=>7
[2,4,6,7,3,5,1]=>[7,2,6,4,1,3,5]=>{{1,5,7},{2},{3,6},{4}}=>6
[2,4,6,7,5,1,3]=>[6,2,5,4,7,3,1]=>{{1,3,5,6,7},{2},{4}}=>7
[2,4,6,7,5,3,1]=>[6,2,5,4,7,1,3]=>{{1,6},{2},{3,5,7},{4}}=>4
[2,4,7,1,3,5,6]=>[7,2,4,3,1,5,6]=>{{1,5,6,7},{2},{3,4}}=>6
[2,4,7,1,3,6,5]=>[6,2,4,3,1,7,5]=>{{1,5,6,7},{2},{3,4}}=>6
[2,4,7,1,5,3,6]=>[5,2,4,3,7,1,6]=>{{1,5,6,7},{2},{3,4}}=>6
[2,4,7,1,5,6,3]=>[5,2,4,3,6,7,1]=>{{1,5,6,7},{2},{3,4}}=>6
[2,4,7,1,6,3,5]=>[6,2,4,3,7,5,1]=>{{1,5,6,7},{2},{3,4}}=>6
[2,4,7,1,6,5,3]=>[6,2,4,3,7,1,5]=>{{1,6},{2},{3,4},{5,7}}=>2
[2,4,7,3,1,5,6]=>[7,2,4,1,3,5,6]=>{{1,3,4,5,6,7},{2}}=>5
[2,4,7,3,1,6,5]=>[6,2,4,1,3,7,5]=>{{1,3,4,5,6,7},{2}}=>5
[2,4,7,3,5,1,6]=>[5,2,4,1,7,3,6]=>{{1,3,4,5,6,7},{2}}=>5
[2,4,7,3,5,6,1]=>[5,2,4,1,6,7,3]=>{{1,3,4,5,6,7},{2}}=>5
[2,4,7,3,6,1,5]=>[6,2,4,1,7,5,3]=>{{1,3,4,5,6,7},{2}}=>5
[2,4,7,3,6,5,1]=>[6,2,4,1,7,3,5]=>{{1,3,4,6},{2},{5,7}}=>3
[2,4,7,5,1,3,6]=>[7,2,4,5,3,1,6]=>{{1,6,7},{2},{3,4,5}}=>4
[2,4,7,5,1,6,3]=>[6,2,4,5,3,7,1]=>{{1,6,7},{2},{3,4,5}}=>4
[2,4,7,5,3,1,6]=>[7,2,4,5,1,3,6]=>{{1,3,4,5,6,7},{2}}=>5
[2,4,7,5,3,6,1]=>[6,2,4,5,1,7,3]=>{{1,3,4,5,6,7},{2}}=>5
[2,4,7,5,6,1,3]=>[7,2,4,5,6,3,1]=>{{1,7},{2},{3,4,5,6}}=>2
[2,4,7,5,6,3,1]=>[7,2,4,5,6,1,3]=>{{1,3,4,5,6,7},{2}}=>5
[2,4,7,6,1,3,5]=>[7,2,4,6,3,5,1]=>{{1,7},{2},{3,4,5,6}}=>2
[2,4,7,6,1,5,3]=>[7,2,4,6,3,1,5]=>{{1,3,4,5,6,7},{2}}=>5
[2,4,7,6,3,1,5]=>[7,2,4,6,1,5,3]=>{{1,3,4,5,6,7},{2}}=>5
[2,4,7,6,3,5,1]=>[7,2,4,6,1,3,5]=>{{1,5,7},{2},{3,4,6}}=>3
[2,4,7,6,5,1,3]=>[6,2,4,5,7,3,1]=>{{1,3,4,5,6,7},{2}}=>5
[2,4,7,6,5,3,1]=>[6,2,4,5,7,1,3]=>{{1,6},{2},{3,4,5,7}}=>1
[2,5,1,3,4,6,7]=>[5,2,1,3,4,6,7]=>{{1,3,4,5},{2},{6},{7}}=>3
[2,5,1,3,4,7,6]=>[5,2,1,3,4,7,6]=>{{1,3,4,5},{2},{6,7}}=>3
[2,5,1,3,6,4,7]=>[6,2,1,3,5,4,7]=>{{1,3,4,6},{2},{5},{7}}=>4
[2,5,1,3,6,7,4]=>[7,2,1,3,5,6,4]=>{{1,3,4,7},{2},{5},{6}}=>5
[2,5,1,3,7,4,6]=>[7,2,1,3,5,4,6]=>{{1,3,4,6,7},{2},{5}}=>6
[2,5,1,3,7,6,4]=>[6,2,1,3,5,7,4]=>{{1,3,4,6,7},{2},{5}}=>6
[2,5,1,4,3,6,7]=>[4,2,1,5,3,6,7]=>{{1,3,4,5},{2},{6},{7}}=>3
[2,5,1,4,3,7,6]=>[4,2,1,5,3,7,6]=>{{1,3,4,5},{2},{6,7}}=>3
[2,5,1,4,6,3,7]=>[4,2,1,6,5,3,7]=>{{1,3,4,6},{2},{5},{7}}=>4
[2,5,1,4,6,7,3]=>[4,2,1,7,5,6,3]=>{{1,3,4,7},{2},{5},{6}}=>5
[2,5,1,4,7,3,6]=>[4,2,1,7,5,3,6]=>{{1,3,4,6,7},{2},{5}}=>6
[2,5,1,4,7,6,3]=>[4,2,1,6,5,7,3]=>{{1,3,4,6,7},{2},{5}}=>6
[2,5,1,6,3,4,7]=>[6,2,1,5,4,3,7]=>{{1,3,6},{2},{4,5},{7}}=>3
[2,5,1,6,3,7,4]=>[7,2,1,5,4,6,3]=>{{1,3,7},{2},{4,5},{6}}=>4
[2,5,1,6,4,3,7]=>[6,2,1,5,3,4,7]=>{{1,3,4,5,6},{2},{7}}=>4
[2,5,1,6,4,7,3]=>[7,2,1,5,3,6,4]=>{{1,3,4,5,7},{2},{6}}=>5
[2,5,1,6,7,3,4]=>[7,2,1,6,5,4,3]=>{{1,3,7},{2},{4,6},{5}}=>5
[2,5,1,6,7,4,3]=>[7,2,1,6,5,3,4]=>{{1,3,4,6,7},{2},{5}}=>6
[2,5,1,7,3,4,6]=>[7,2,1,5,4,3,6]=>{{1,3,6,7},{2},{4,5}}=>5
[2,5,1,7,3,6,4]=>[6,2,1,5,4,7,3]=>{{1,3,6,7},{2},{4,5}}=>5
[2,5,1,7,4,3,6]=>[7,2,1,5,3,4,6]=>{{1,3,4,5,6,7},{2}}=>5
[2,5,1,7,4,6,3]=>[6,2,1,5,3,7,4]=>{{1,3,4,5,6,7},{2}}=>5
[2,5,1,7,6,3,4]=>[7,2,1,5,6,4,3]=>{{1,3,7},{2},{4,5,6}}=>3
[2,5,1,7,6,4,3]=>[7,2,1,5,6,3,4]=>{{1,3,4,5,6,7},{2}}=>5
[2,5,3,1,4,6,7]=>[3,2,5,1,4,6,7]=>{{1,3,4,5},{2},{6},{7}}=>3
[2,5,3,1,4,7,6]=>[3,2,5,1,4,7,6]=>{{1,3,4,5},{2},{6,7}}=>3
[2,5,3,1,6,4,7]=>[3,2,6,1,5,4,7]=>{{1,3,4,6},{2},{5},{7}}=>4
[2,5,3,1,6,7,4]=>[3,2,7,1,5,6,4]=>{{1,3,4,7},{2},{5},{6}}=>5
[2,5,3,1,7,4,6]=>[3,2,7,1,5,4,6]=>{{1,3,4,6,7},{2},{5}}=>6
[2,5,3,1,7,6,4]=>[3,2,6,1,5,7,4]=>{{1,3,4,6,7},{2},{5}}=>6
[2,5,3,4,1,6,7]=>[3,2,4,5,1,6,7]=>{{1,3,4,5},{2},{6},{7}}=>3
[2,5,3,4,1,7,6]=>[3,2,4,5,1,7,6]=>{{1,3,4,5},{2},{6,7}}=>3
[2,5,3,4,6,1,7]=>[3,2,4,6,5,1,7]=>{{1,3,4,6},{2},{5},{7}}=>4
[2,5,3,4,6,7,1]=>[3,2,4,7,5,6,1]=>{{1,3,4,7},{2},{5},{6}}=>5
[2,5,3,4,7,1,6]=>[3,2,4,7,5,1,6]=>{{1,3,4,6,7},{2},{5}}=>6
[2,5,3,4,7,6,1]=>[3,2,4,6,5,7,1]=>{{1,3,4,6,7},{2},{5}}=>6
[2,5,3,6,1,4,7]=>[3,2,6,5,4,1,7]=>{{1,3,6},{2},{4,5},{7}}=>3
[2,5,3,6,1,7,4]=>[3,2,7,5,4,6,1]=>{{1,3,7},{2},{4,5},{6}}=>4
[2,5,3,6,4,1,7]=>[3,2,6,5,1,4,7]=>{{1,3,4,5,6},{2},{7}}=>4
[2,5,3,6,4,7,1]=>[3,2,7,5,1,6,4]=>{{1,3,4,5,7},{2},{6}}=>5
[2,5,3,6,7,1,4]=>[3,2,7,6,5,4,1]=>{{1,3,7},{2},{4,6},{5}}=>5
[2,5,3,6,7,4,1]=>[3,2,7,6,5,1,4]=>{{1,3,4,6,7},{2},{5}}=>6
[2,5,3,7,1,4,6]=>[3,2,7,5,4,1,6]=>{{1,3,6,7},{2},{4,5}}=>5
[2,5,3,7,1,6,4]=>[3,2,6,5,4,7,1]=>{{1,3,6,7},{2},{4,5}}=>5
[2,5,3,7,4,1,6]=>[3,2,7,5,1,4,6]=>{{1,3,4,5,6,7},{2}}=>5
[2,5,3,7,4,6,1]=>[3,2,6,5,1,7,4]=>{{1,3,4,5,6,7},{2}}=>5
[2,5,3,7,6,1,4]=>[3,2,7,5,6,4,1]=>{{1,3,7},{2},{4,5,6}}=>3
[2,5,3,7,6,4,1]=>[3,2,7,5,6,1,4]=>{{1,3,4,5,6,7},{2}}=>5
[2,5,4,1,3,6,7]=>[4,2,5,3,1,6,7]=>{{1,3,4,5},{2},{6},{7}}=>3
[2,5,4,1,3,7,6]=>[4,2,5,3,1,7,6]=>{{1,3,4,5},{2},{6,7}}=>3
[2,5,4,1,6,3,7]=>[4,2,6,3,5,1,7]=>{{1,3,4,6},{2},{5},{7}}=>4
[2,5,4,1,6,7,3]=>[4,2,7,3,5,6,1]=>{{1,3,4,7},{2},{5},{6}}=>5
[2,5,4,1,7,3,6]=>[4,2,7,3,5,1,6]=>{{1,3,4,6,7},{2},{5}}=>6
[2,5,4,1,7,6,3]=>[4,2,6,3,5,7,1]=>{{1,3,4,6,7},{2},{5}}=>6
[2,5,4,3,1,6,7]=>[4,2,5,1,3,6,7]=>{{1,4},{2},{3,5},{6},{7}}=>1
[2,5,4,3,1,7,6]=>[4,2,5,1,3,7,6]=>{{1,4},{2},{3,5},{6,7}}=>1
[2,5,4,3,6,1,7]=>[4,2,6,1,5,3,7]=>{{1,4},{2},{3,6},{5},{7}}=>2
[2,5,4,3,6,7,1]=>[4,2,7,1,5,6,3]=>{{1,4},{2},{3,7},{5},{6}}=>3
[2,5,4,3,7,1,6]=>[4,2,7,1,5,3,6]=>{{1,4},{2},{3,6,7},{5}}=>3
[2,5,4,3,7,6,1]=>[4,2,6,1,5,7,3]=>{{1,4},{2},{3,6,7},{5}}=>3
[2,5,4,6,1,3,7]=>[5,2,6,4,3,1,7]=>{{1,3,5,6},{2},{4},{7}}=>5
[2,5,4,6,1,7,3]=>[5,2,7,4,3,6,1]=>{{1,3,5,7},{2},{4},{6}}=>6
[2,5,4,6,3,1,7]=>[5,2,6,4,1,3,7]=>{{1,5},{2},{3,6},{4},{7}}=>3
[2,5,4,6,3,7,1]=>[5,2,7,4,1,6,3]=>{{1,5},{2},{3,7},{4},{6}}=>4
[2,5,4,6,7,1,3]=>[6,2,7,4,5,3,1]=>{{1,3,6,7},{2},{4},{5}}=>7
[2,5,4,6,7,3,1]=>[6,2,7,4,5,1,3]=>{{1,6},{2},{3,7},{4},{5}}=>5
[2,5,4,7,1,3,6]=>[5,2,7,4,3,1,6]=>{{1,3,5,6,7},{2},{4}}=>7
[2,5,4,7,1,6,3]=>[5,2,6,4,3,7,1]=>{{1,3,5,6,7},{2},{4}}=>7
[2,5,4,7,3,1,6]=>[5,2,7,4,1,3,6]=>{{1,5},{2},{3,6,7},{4}}=>4
[2,5,4,7,3,6,1]=>[5,2,6,4,1,7,3]=>{{1,5},{2},{3,6,7},{4}}=>4
[2,5,4,7,6,1,3]=>[5,2,7,4,6,3,1]=>{{1,3,5,6,7},{2},{4}}=>7
[2,5,4,7,6,3,1]=>[5,2,7,4,6,1,3]=>{{1,5,6},{2},{3,7},{4}}=>5
[2,5,6,1,3,4,7]=>[6,2,5,3,4,1,7]=>{{1,6},{2},{3,4,5},{7}}=>2
[2,5,6,1,3,7,4]=>[7,2,5,3,4,6,1]=>{{1,7},{2},{3,4,5},{6}}=>3
[2,5,6,1,4,3,7]=>[6,2,5,3,1,4,7]=>{{1,3,4,5,6},{2},{7}}=>4
[2,5,6,1,4,7,3]=>[7,2,5,3,1,6,4]=>{{1,3,4,5,7},{2},{6}}=>5
[2,5,6,1,7,3,4]=>[7,2,6,3,5,4,1]=>{{1,7},{2},{3,4,6},{5}}=>4
[2,5,6,1,7,4,3]=>[7,2,6,3,5,1,4]=>{{1,3,4,6,7},{2},{5}}=>6
[2,5,6,3,1,4,7]=>[6,2,5,1,4,3,7]=>{{1,3,4,5,6},{2},{7}}=>4
[2,5,6,3,1,7,4]=>[7,2,5,1,4,6,3]=>{{1,3,4,5,7},{2},{6}}=>5
[2,5,6,3,4,1,7]=>[6,2,5,1,3,4,7]=>{{1,4,6},{2},{3,5},{7}}=>3
[2,5,6,3,4,7,1]=>[7,2,5,1,3,6,4]=>{{1,4,7},{2},{3,5},{6}}=>4
[2,5,6,3,7,1,4]=>[7,2,6,1,5,4,3]=>{{1,3,4,6,7},{2},{5}}=>6
[2,5,6,3,7,4,1]=>[7,2,6,1,5,3,4]=>{{1,4,7},{2},{3,6},{5}}=>5
[2,5,6,4,1,3,7]=>[5,2,4,6,3,1,7]=>{{1,3,4,5,6},{2},{7}}=>4
[2,5,6,4,1,7,3]=>[5,2,4,7,3,6,1]=>{{1,3,4,5,7},{2},{6}}=>5
[2,5,6,4,3,1,7]=>[5,2,4,6,1,3,7]=>{{1,5},{2},{3,4,6},{7}}=>1
[2,5,6,4,3,7,1]=>[5,2,4,7,1,6,3]=>{{1,5},{2},{3,4,7},{6}}=>2
[2,5,6,4,7,1,3]=>[6,2,4,7,5,3,1]=>{{1,3,4,6,7},{2},{5}}=>6
[2,5,6,4,7,3,1]=>[6,2,4,7,5,1,3]=>{{1,6},{2},{3,4,7},{5}}=>3
[2,5,6,7,1,3,4]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>4
[2,5,6,7,1,4,3]=>[7,2,6,5,4,1,3]=>{{1,3,6,7},{2},{4,5}}=>5
[2,5,6,7,3,1,4]=>[7,2,6,5,3,4,1]=>{{1,7},{2},{3,4,5,6}}=>2
[2,5,6,7,3,4,1]=>[7,2,6,5,3,1,4]=>{{1,3,4,5,6,7},{2}}=>5
[2,5,6,7,4,1,3]=>[7,2,6,5,1,4,3]=>{{1,3,4,5,6,7},{2}}=>5
[2,5,6,7,4,3,1]=>[7,2,6,5,1,3,4]=>{{1,4,5,7},{2},{3,6}}=>4
[2,5,7,1,3,4,6]=>[7,2,5,3,4,1,6]=>{{1,6,7},{2},{3,4,5}}=>4
[2,5,7,1,3,6,4]=>[6,2,5,3,4,7,1]=>{{1,6,7},{2},{3,4,5}}=>4
[2,5,7,1,4,3,6]=>[7,2,5,3,1,4,6]=>{{1,3,4,5,6,7},{2}}=>5
[2,5,7,1,4,6,3]=>[6,2,5,3,1,7,4]=>{{1,3,4,5,6,7},{2}}=>5
[2,5,7,1,6,3,4]=>[7,2,5,3,6,4,1]=>{{1,7},{2},{3,4,5,6}}=>2
[2,5,7,1,6,4,3]=>[7,2,5,3,6,1,4]=>{{1,3,4,5,6,7},{2}}=>5
[2,5,7,3,1,4,6]=>[7,2,5,1,4,3,6]=>{{1,3,4,5,6,7},{2}}=>5
[2,5,7,3,1,6,4]=>[6,2,5,1,4,7,3]=>{{1,3,4,5,6,7},{2}}=>5
[2,5,7,3,4,1,6]=>[7,2,5,1,3,4,6]=>{{1,4,6,7},{2},{3,5}}=>5
[2,5,7,3,4,6,1]=>[6,2,5,1,3,7,4]=>{{1,4,6,7},{2},{3,5}}=>5
[2,5,7,3,6,1,4]=>[7,2,5,1,6,4,3]=>{{1,3,4,5,6,7},{2}}=>5
[2,5,7,3,6,4,1]=>[7,2,5,1,6,3,4]=>{{1,4,7},{2},{3,5,6}}=>3
[2,5,7,4,1,3,6]=>[5,2,4,7,3,1,6]=>{{1,3,4,5,6,7},{2}}=>5
[2,5,7,4,1,6,3]=>[5,2,4,6,3,7,1]=>{{1,3,4,5,6,7},{2}}=>5
[2,5,7,4,3,1,6]=>[5,2,4,7,1,3,6]=>{{1,5},{2},{3,4,6,7}}=>1
[2,5,7,4,3,6,1]=>[5,2,4,6,1,7,3]=>{{1,5},{2},{3,4,6,7}}=>1
[2,5,7,4,6,1,3]=>[5,2,4,7,6,3,1]=>{{1,3,4,5,6,7},{2}}=>5
[2,5,7,4,6,3,1]=>[5,2,4,7,6,1,3]=>{{1,5,6},{2},{3,4,7}}=>2
[2,5,7,6,1,3,4]=>[7,2,5,6,4,3,1]=>{{1,7},{2},{3,4,5,6}}=>2
[2,5,7,6,1,4,3]=>[7,2,5,6,4,1,3]=>{{1,3,4,5,6,7},{2}}=>5
[2,5,7,6,3,1,4]=>[7,2,5,6,3,4,1]=>{{1,7},{2},{3,5},{4,6}}=>3
[2,5,7,6,3,4,1]=>[7,2,5,6,3,1,4]=>{{1,4,6,7},{2},{3,5}}=>5
[2,5,7,6,4,1,3]=>[7,2,5,6,1,4,3]=>{{1,3,5,7},{2},{4,6}}=>4
[2,5,7,6,4,3,1]=>[7,2,5,6,1,3,4]=>{{1,3,4,5,6,7},{2}}=>5
[2,6,1,3,4,5,7]=>[6,2,1,3,4,5,7]=>{{1,3,4,5,6},{2},{7}}=>4
[2,6,1,3,4,7,5]=>[7,2,1,3,4,6,5]=>{{1,3,4,5,7},{2},{6}}=>5
[2,6,1,3,5,4,7]=>[5,2,1,3,6,4,7]=>{{1,3,4,5,6},{2},{7}}=>4
[2,6,1,3,5,7,4]=>[5,2,1,3,7,6,4]=>{{1,3,4,5,7},{2},{6}}=>5
[2,6,1,3,7,4,5]=>[7,2,1,3,6,5,4]=>{{1,3,4,7},{2},{5,6}}=>4
[2,6,1,3,7,5,4]=>[7,2,1,3,6,4,5]=>{{1,3,4,5,6,7},{2}}=>5
[2,6,1,4,3,5,7]=>[4,2,1,6,3,5,7]=>{{1,3,4,5,6},{2},{7}}=>4
[2,6,1,4,3,7,5]=>[4,2,1,7,3,6,5]=>{{1,3,4,5,7},{2},{6}}=>5
[2,6,1,4,5,3,7]=>[4,2,1,5,6,3,7]=>{{1,3,4,5,6},{2},{7}}=>4
[2,6,1,4,5,7,3]=>[4,2,1,5,7,6,3]=>{{1,3,4,5,7},{2},{6}}=>5
[2,6,1,4,7,3,5]=>[4,2,1,7,6,5,3]=>{{1,3,4,7},{2},{5,6}}=>4
[2,6,1,4,7,5,3]=>[4,2,1,7,6,3,5]=>{{1,3,4,5,6,7},{2}}=>5
[2,6,1,5,3,4,7]=>[5,2,1,6,4,3,7]=>{{1,3,4,5,6},{2},{7}}=>4
[2,6,1,5,3,7,4]=>[5,2,1,7,4,6,3]=>{{1,3,4,5,7},{2},{6}}=>5
[2,6,1,5,4,3,7]=>[5,2,1,6,3,4,7]=>{{1,3,5},{2},{4,6},{7}}=>2
[2,6,1,5,4,7,3]=>[5,2,1,7,3,6,4]=>{{1,3,5},{2},{4,7},{6}}=>3
[2,6,1,5,7,3,4]=>[6,2,1,7,5,4,3]=>{{1,3,4,6,7},{2},{5}}=>6
[2,6,1,5,7,4,3]=>[6,2,1,7,5,3,4]=>{{1,3,6},{2},{4,7},{5}}=>4
[2,6,1,7,3,4,5]=>[7,2,1,6,4,5,3]=>{{1,3,7},{2},{4,5,6}}=>3
[2,6,1,7,3,5,4]=>[7,2,1,6,4,3,5]=>{{1,3,4,5,6,7},{2}}=>5
[2,6,1,7,4,3,5]=>[7,2,1,6,3,5,4]=>{{1,3,4,5,6,7},{2}}=>5
[2,6,1,7,4,5,3]=>[7,2,1,6,3,4,5]=>{{1,3,5,7},{2},{4,6}}=>4
[2,6,1,7,5,3,4]=>[6,2,1,5,7,4,3]=>{{1,3,4,5,6,7},{2}}=>5
[2,6,1,7,5,4,3]=>[6,2,1,5,7,3,4]=>{{1,3,6},{2},{4,5,7}}=>2
[2,6,3,1,4,5,7]=>[3,2,6,1,4,5,7]=>{{1,3,4,5,6},{2},{7}}=>4
[2,6,3,1,4,7,5]=>[3,2,7,1,4,6,5]=>{{1,3,4,5,7},{2},{6}}=>5
[2,6,3,1,5,4,7]=>[3,2,5,1,6,4,7]=>{{1,3,4,5,6},{2},{7}}=>4
[2,6,3,1,5,7,4]=>[3,2,5,1,7,6,4]=>{{1,3,4,5,7},{2},{6}}=>5
[2,6,3,1,7,4,5]=>[3,2,7,1,6,5,4]=>{{1,3,4,7},{2},{5,6}}=>4
[2,6,3,1,7,5,4]=>[3,2,7,1,6,4,5]=>{{1,3,4,5,6,7},{2}}=>5
[2,6,3,4,1,5,7]=>[3,2,4,6,1,5,7]=>{{1,3,4,5,6},{2},{7}}=>4
[2,6,3,4,1,7,5]=>[3,2,4,7,1,6,5]=>{{1,3,4,5,7},{2},{6}}=>5
[2,6,3,4,5,1,7]=>[3,2,4,5,6,1,7]=>{{1,3,4,5,6},{2},{7}}=>4
[2,6,3,4,5,7,1]=>[3,2,4,5,7,6,1]=>{{1,3,4,5,7},{2},{6}}=>5
[2,6,3,4,7,1,5]=>[3,2,4,7,6,5,1]=>{{1,3,4,7},{2},{5,6}}=>4
[2,6,3,4,7,5,1]=>[3,2,4,7,6,1,5]=>{{1,3,4,5,6,7},{2}}=>5
[2,6,3,5,1,4,7]=>[3,2,5,6,4,1,7]=>{{1,3,4,5,6},{2},{7}}=>4
[2,6,3,5,1,7,4]=>[3,2,5,7,4,6,1]=>{{1,3,4,5,7},{2},{6}}=>5
[2,6,3,5,4,1,7]=>[3,2,5,6,1,4,7]=>{{1,3,5},{2},{4,6},{7}}=>2
[2,6,3,5,4,7,1]=>[3,2,5,7,1,6,4]=>{{1,3,5},{2},{4,7},{6}}=>3
[2,6,3,5,7,1,4]=>[3,2,6,7,5,4,1]=>{{1,3,4,6,7},{2},{5}}=>6
[2,6,3,5,7,4,1]=>[3,2,6,7,5,1,4]=>{{1,3,6},{2},{4,7},{5}}=>4
[2,6,3,7,1,4,5]=>[3,2,7,6,4,5,1]=>{{1,3,7},{2},{4,5,6}}=>3
[2,6,3,7,1,5,4]=>[3,2,7,6,4,1,5]=>{{1,3,4,5,6,7},{2}}=>5
[2,6,3,7,4,1,5]=>[3,2,7,6,1,5,4]=>{{1,3,4,5,6,7},{2}}=>5
[2,6,3,7,4,5,1]=>[3,2,7,6,1,4,5]=>{{1,3,5,7},{2},{4,6}}=>4
[2,6,3,7,5,1,4]=>[3,2,6,5,7,4,1]=>{{1,3,4,5,6,7},{2}}=>5
[2,6,3,7,5,4,1]=>[3,2,6,5,7,1,4]=>{{1,3,6},{2},{4,5,7}}=>2
[2,6,4,1,3,5,7]=>[4,2,6,3,1,5,7]=>{{1,3,4,5,6},{2},{7}}=>4
[2,6,4,1,3,7,5]=>[4,2,7,3,1,6,5]=>{{1,3,4,5,7},{2},{6}}=>5
[2,6,4,1,5,3,7]=>[4,2,5,3,6,1,7]=>{{1,3,4,5,6},{2},{7}}=>4
[2,6,4,1,5,7,3]=>[4,2,5,3,7,6,1]=>{{1,3,4,5,7},{2},{6}}=>5
[2,6,4,1,7,3,5]=>[4,2,7,3,6,5,1]=>{{1,3,4,7},{2},{5,6}}=>4
[2,6,4,1,7,5,3]=>[4,2,7,3,6,1,5]=>{{1,3,4,5,6,7},{2}}=>5
[2,6,4,3,1,5,7]=>[4,2,6,1,3,5,7]=>{{1,4},{2},{3,5,6},{7}}=>1
[2,6,4,3,1,7,5]=>[4,2,7,1,3,6,5]=>{{1,4},{2},{3,5,7},{6}}=>2
[2,6,4,3,5,1,7]=>[4,2,5,1,6,3,7]=>{{1,4},{2},{3,5,6},{7}}=>1
[2,6,4,3,5,7,1]=>[4,2,5,1,7,6,3]=>{{1,4},{2},{3,5,7},{6}}=>2
[2,6,4,3,7,1,5]=>[4,2,7,1,6,5,3]=>{{1,4},{2},{3,7},{5,6}}=>2
[2,6,4,3,7,5,1]=>[4,2,7,1,6,3,5]=>{{1,4},{2},{3,5,6,7}}=>1
[2,6,4,5,1,3,7]=>[4,2,6,5,3,1,7]=>{{1,3,4,5,6},{2},{7}}=>4
[2,6,4,5,1,7,3]=>[4,2,7,5,3,6,1]=>{{1,3,4,5,7},{2},{6}}=>5
[2,6,4,5,3,1,7]=>[4,2,6,5,1,3,7]=>{{1,4,5},{2},{3,6},{7}}=>2
[2,6,4,5,3,7,1]=>[4,2,7,5,1,6,3]=>{{1,4,5},{2},{3,7},{6}}=>3
[2,6,4,5,7,1,3]=>[4,2,7,6,5,3,1]=>{{1,3,4,6,7},{2},{5}}=>6
[2,6,4,5,7,3,1]=>[4,2,7,6,5,1,3]=>{{1,4,6},{2},{3,7},{5}}=>4
[2,6,4,7,1,3,5]=>[6,2,7,4,3,5,1]=>{{1,3,5,6,7},{2},{4}}=>7
[2,6,4,7,1,5,3]=>[6,2,7,4,3,1,5]=>{{1,6},{2},{3,5,7},{4}}=>4
[2,6,4,7,3,1,5]=>[6,2,7,4,1,5,3]=>{{1,5,6},{2},{3,7},{4}}=>5
[2,6,4,7,3,5,1]=>[6,2,7,4,1,3,5]=>{{1,3,5,6,7},{2},{4}}=>7
[2,6,4,7,5,1,3]=>[5,2,6,4,7,3,1]=>{{1,5,7},{2},{3,6},{4}}=>6
[2,6,4,7,5,3,1]=>[5,2,6,4,7,1,3]=>{{1,3,5,6,7},{2},{4}}=>7
[2,6,5,1,3,4,7]=>[5,2,6,3,4,1,7]=>{{1,3,4,5,6},{2},{7}}=>4
[2,6,5,1,3,7,4]=>[5,2,7,3,4,6,1]=>{{1,3,4,5,7},{2},{6}}=>5
[2,6,5,1,4,3,7]=>[5,2,6,3,1,4,7]=>{{1,5},{2},{3,4,6},{7}}=>1
[2,6,5,1,4,7,3]=>[5,2,7,3,1,6,4]=>{{1,5},{2},{3,4,7},{6}}=>2
[2,6,5,1,7,3,4]=>[6,2,7,3,5,4,1]=>{{1,3,4,6,7},{2},{5}}=>6
[2,6,5,1,7,4,3]=>[6,2,7,3,5,1,4]=>{{1,6},{2},{3,4,7},{5}}=>3
[2,6,5,3,1,4,7]=>[5,2,6,1,4,3,7]=>{{1,4,5},{2},{3,6},{7}}=>2
[2,6,5,3,1,7,4]=>[5,2,7,1,4,6,3]=>{{1,4,5},{2},{3,7},{6}}=>3
[2,6,5,3,4,1,7]=>[5,2,6,1,3,4,7]=>{{1,3,4,5,6},{2},{7}}=>4
[2,6,5,3,4,7,1]=>[5,2,7,1,3,6,4]=>{{1,3,4,5,7},{2},{6}}=>5
[2,6,5,3,7,1,4]=>[6,2,7,1,5,4,3]=>{{1,4,6},{2},{3,7},{5}}=>4
[2,6,5,3,7,4,1]=>[6,2,7,1,5,3,4]=>{{1,3,4,6,7},{2},{5}}=>6
[2,6,5,4,1,3,7]=>[4,2,5,6,3,1,7]=>{{1,4,6},{2},{3,5},{7}}=>3
[2,6,5,4,1,7,3]=>[4,2,5,7,3,6,1]=>{{1,4,7},{2},{3,5},{6}}=>4
[2,6,5,4,3,1,7]=>[4,2,5,6,1,3,7]=>{{1,3,4,5,6},{2},{7}}=>4
[2,6,5,4,3,7,1]=>[4,2,5,7,1,6,3]=>{{1,3,4,5,7},{2},{6}}=>5
[2,6,5,4,7,1,3]=>[4,2,6,7,5,3,1]=>{{1,4,7},{2},{3,6},{5}}=>5
[2,6,5,4,7,3,1]=>[4,2,6,7,5,1,3]=>{{1,3,4,6,7},{2},{5}}=>6
[2,6,5,7,1,3,4]=>[6,2,7,5,4,3,1]=>{{1,3,6,7},{2},{4,5}}=>5
[2,6,5,7,1,4,3]=>[6,2,7,5,4,1,3]=>{{1,6},{2},{3,7},{4,5}}=>3
[2,6,5,7,3,1,4]=>[6,2,7,5,3,4,1]=>{{1,3,4,5,6,7},{2}}=>5
[2,6,5,7,3,4,1]=>[6,2,7,5,3,1,4]=>{{1,6},{2},{3,4,5,7}}=>1
[2,6,5,7,4,1,3]=>[6,2,7,5,1,4,3]=>{{1,4,5,6},{2},{3,7}}=>3
[2,6,5,7,4,3,1]=>[6,2,7,5,1,3,4]=>{{1,3,4,5,6,7},{2}}=>5
[2,6,7,1,3,4,5]=>[7,2,6,3,4,5,1]=>{{1,7},{2},{3,4,5,6}}=>2
[2,6,7,1,3,5,4]=>[7,2,6,3,4,1,5]=>{{1,3,4,5,6,7},{2}}=>5
[2,6,7,1,4,3,5]=>[7,2,6,3,1,5,4]=>{{1,3,4,5,6,7},{2}}=>5
[2,6,7,1,4,5,3]=>[7,2,6,3,1,4,5]=>{{1,5,7},{2},{3,4,6}}=>3
[2,6,7,1,5,3,4]=>[6,2,5,3,7,4,1]=>{{1,3,4,5,6,7},{2}}=>5
[2,6,7,1,5,4,3]=>[6,2,5,3,7,1,4]=>{{1,6},{2},{3,4,5,7}}=>1
[2,6,7,3,1,4,5]=>[7,2,6,1,4,5,3]=>{{1,3,4,5,6,7},{2}}=>5
[2,6,7,3,1,5,4]=>[7,2,6,1,4,3,5]=>{{1,4,5,7},{2},{3,6}}=>4
[2,6,7,3,4,1,5]=>[7,2,6,1,3,5,4]=>{{1,4,7},{2},{3,5,6}}=>3
[2,6,7,3,4,5,1]=>[7,2,6,1,3,4,5]=>{{1,3,4,5,6,7},{2}}=>5
[2,6,7,3,5,1,4]=>[6,2,5,1,7,4,3]=>{{1,4,6},{2},{3,5,7}}=>2
[2,6,7,3,5,4,1]=>[6,2,5,1,7,3,4]=>{{1,3,4,5,6,7},{2}}=>5
[2,6,7,4,1,3,5]=>[6,2,4,7,3,5,1]=>{{1,3,4,5,6,7},{2}}=>5
[2,6,7,4,1,5,3]=>[6,2,4,7,3,1,5]=>{{1,6},{2},{3,4,5,7}}=>1
[2,6,7,4,3,1,5]=>[6,2,4,7,1,5,3]=>{{1,5,6},{2},{3,4,7}}=>2
[2,6,7,4,3,5,1]=>[6,2,4,7,1,3,5]=>{{1,3,4,5,6,7},{2}}=>5
[2,6,7,4,5,1,3]=>[5,2,4,6,7,3,1]=>{{1,5,7},{2},{3,4,6}}=>3
[2,6,7,4,5,3,1]=>[5,2,4,6,7,1,3]=>{{1,3,4,5,6,7},{2}}=>5
[2,6,7,5,1,3,4]=>[6,2,5,7,4,3,1]=>{{1,3,4,5,6,7},{2}}=>5
[2,6,7,5,1,4,3]=>[6,2,5,7,4,1,3]=>{{1,6},{2},{3,4,5,7}}=>1
[2,6,7,5,3,1,4]=>[6,2,5,7,3,4,1]=>{{1,4,6,7},{2},{3,5}}=>5
[2,6,7,5,3,4,1]=>[6,2,5,7,3,1,4]=>{{1,6},{2},{3,5},{4,7}}=>2
[2,6,7,5,4,1,3]=>[6,2,5,7,1,4,3]=>{{1,3,4,5,6,7},{2}}=>5
[2,6,7,5,4,3,1]=>[6,2,5,7,1,3,4]=>{{1,3,5,6},{2},{4,7}}=>3
[2,7,1,3,4,5,6]=>[7,2,1,3,4,5,6]=>{{1,3,4,5,6,7},{2}}=>5
[2,7,1,3,4,6,5]=>[6,2,1,3,4,7,5]=>{{1,3,4,5,6,7},{2}}=>5
[2,7,1,3,5,4,6]=>[5,2,1,3,7,4,6]=>{{1,3,4,5,6,7},{2}}=>5
[2,7,1,3,5,6,4]=>[5,2,1,3,6,7,4]=>{{1,3,4,5,6,7},{2}}=>5
[2,7,1,3,6,4,5]=>[6,2,1,3,7,5,4]=>{{1,3,4,5,6,7},{2}}=>5
[2,7,1,3,6,5,4]=>[6,2,1,3,7,4,5]=>{{1,3,4,6},{2},{5,7}}=>3
[2,7,1,4,3,5,6]=>[4,2,1,7,3,5,6]=>{{1,3,4,5,6,7},{2}}=>5
[2,7,1,4,3,6,5]=>[4,2,1,6,3,7,5]=>{{1,3,4,5,6,7},{2}}=>5
[2,7,1,4,5,3,6]=>[4,2,1,5,7,3,6]=>{{1,3,4,5,6,7},{2}}=>5
[2,7,1,4,5,6,3]=>[4,2,1,5,6,7,3]=>{{1,3,4,5,6,7},{2}}=>5
[2,7,1,4,6,3,5]=>[4,2,1,6,7,5,3]=>{{1,3,4,5,6,7},{2}}=>5
[2,7,1,4,6,5,3]=>[4,2,1,6,7,3,5]=>{{1,3,4,6},{2},{5,7}}=>3
[2,7,1,5,3,4,6]=>[5,2,1,7,4,3,6]=>{{1,3,4,5,6,7},{2}}=>5
[2,7,1,5,3,6,4]=>[5,2,1,6,4,7,3]=>{{1,3,4,5,6,7},{2}}=>5
[2,7,1,5,4,3,6]=>[5,2,1,7,3,4,6]=>{{1,3,5},{2},{4,6,7}}=>2
[2,7,1,5,4,6,3]=>[5,2,1,6,3,7,4]=>{{1,3,5},{2},{4,6,7}}=>2
[2,7,1,5,6,3,4]=>[5,2,1,7,6,4,3]=>{{1,3,4,5,6,7},{2}}=>5
[2,7,1,5,6,4,3]=>[5,2,1,7,6,3,4]=>{{1,3,5,6},{2},{4,7}}=>3
[2,7,1,6,3,4,5]=>[6,2,1,7,4,5,3]=>{{1,3,4,5,6,7},{2}}=>5
[2,7,1,6,3,5,4]=>[6,2,1,7,4,3,5]=>{{1,3,6},{2},{4,5,7}}=>2
[2,7,1,6,4,3,5]=>[6,2,1,7,3,5,4]=>{{1,3,5,6},{2},{4,7}}=>3
[2,7,1,6,4,5,3]=>[6,2,1,7,3,4,5]=>{{1,3,4,5,6,7},{2}}=>5
[2,7,1,6,5,3,4]=>[5,2,1,6,7,4,3]=>{{1,3,5,7},{2},{4,6}}=>4
[2,7,1,6,5,4,3]=>[5,2,1,6,7,3,4]=>{{1,3,4,5,6,7},{2}}=>5
[2,7,3,1,4,5,6]=>[3,2,7,1,4,5,6]=>{{1,3,4,5,6,7},{2}}=>5
[2,7,3,1,4,6,5]=>[3,2,6,1,4,7,5]=>{{1,3,4,5,6,7},{2}}=>5
[2,7,3,1,5,4,6]=>[3,2,5,1,7,4,6]=>{{1,3,4,5,6,7},{2}}=>5
[2,7,3,1,5,6,4]=>[3,2,5,1,6,7,4]=>{{1,3,4,5,6,7},{2}}=>5
[2,7,3,1,6,4,5]=>[3,2,6,1,7,5,4]=>{{1,3,4,5,6,7},{2}}=>5
[2,7,3,1,6,5,4]=>[3,2,6,1,7,4,5]=>{{1,3,4,6},{2},{5,7}}=>3
[2,7,3,4,1,5,6]=>[3,2,4,7,1,5,6]=>{{1,3,4,5,6,7},{2}}=>5
[2,7,3,4,1,6,5]=>[3,2,4,6,1,7,5]=>{{1,3,4,5,6,7},{2}}=>5
[2,7,3,4,5,1,6]=>[3,2,4,5,7,1,6]=>{{1,3,4,5,6,7},{2}}=>5
[2,7,3,4,5,6,1]=>[3,2,4,5,6,7,1]=>{{1,3,4,5,6,7},{2}}=>5
[2,7,3,4,6,1,5]=>[3,2,4,6,7,5,1]=>{{1,3,4,5,6,7},{2}}=>5
[2,7,3,4,6,5,1]=>[3,2,4,6,7,1,5]=>{{1,3,4,6},{2},{5,7}}=>3
[2,7,3,5,1,4,6]=>[3,2,5,7,4,1,6]=>{{1,3,4,5,6,7},{2}}=>5
[2,7,3,5,1,6,4]=>[3,2,5,6,4,7,1]=>{{1,3,4,5,6,7},{2}}=>5
[2,7,3,5,4,1,6]=>[3,2,5,7,1,4,6]=>{{1,3,5},{2},{4,6,7}}=>2
[2,7,3,5,4,6,1]=>[3,2,5,6,1,7,4]=>{{1,3,5},{2},{4,6,7}}=>2
[2,7,3,5,6,1,4]=>[3,2,5,7,6,4,1]=>{{1,3,4,5,6,7},{2}}=>5
[2,7,3,5,6,4,1]=>[3,2,5,7,6,1,4]=>{{1,3,5,6},{2},{4,7}}=>3
[2,7,3,6,1,4,5]=>[3,2,6,7,4,5,1]=>{{1,3,4,5,6,7},{2}}=>5
[2,7,3,6,1,5,4]=>[3,2,6,7,4,1,5]=>{{1,3,6},{2},{4,5,7}}=>2
[2,7,3,6,4,1,5]=>[3,2,6,7,1,5,4]=>{{1,3,5,6},{2},{4,7}}=>3
[2,7,3,6,4,5,1]=>[3,2,6,7,1,4,5]=>{{1,3,4,5,6,7},{2}}=>5
[2,7,3,6,5,1,4]=>[3,2,5,6,7,4,1]=>{{1,3,5,7},{2},{4,6}}=>4
[2,7,3,6,5,4,1]=>[3,2,5,6,7,1,4]=>{{1,3,4,5,6,7},{2}}=>5
[2,7,4,1,3,5,6]=>[4,2,7,3,1,5,6]=>{{1,3,4,5,6,7},{2}}=>5
[2,7,4,1,3,6,5]=>[4,2,6,3,1,7,5]=>{{1,3,4,5,6,7},{2}}=>5
[2,7,4,1,5,3,6]=>[4,2,5,3,7,1,6]=>{{1,3,4,5,6,7},{2}}=>5
[2,7,4,1,5,6,3]=>[4,2,5,3,6,7,1]=>{{1,3,4,5,6,7},{2}}=>5
[2,7,4,1,6,3,5]=>[4,2,6,3,7,5,1]=>{{1,3,4,5,6,7},{2}}=>5
[2,7,4,1,6,5,3]=>[4,2,6,3,7,1,5]=>{{1,3,4,6},{2},{5,7}}=>3
[2,7,4,3,1,5,6]=>[4,2,7,1,3,5,6]=>{{1,4},{2},{3,5,6,7}}=>1
[2,7,4,3,1,6,5]=>[4,2,6,1,3,7,5]=>{{1,4},{2},{3,5,6,7}}=>1
[2,7,4,3,5,1,6]=>[4,2,5,1,7,3,6]=>{{1,4},{2},{3,5,6,7}}=>1
[2,7,4,3,5,6,1]=>[4,2,5,1,6,7,3]=>{{1,4},{2},{3,5,6,7}}=>1
[2,7,4,3,6,1,5]=>[4,2,6,1,7,5,3]=>{{1,4},{2},{3,5,6,7}}=>1
[2,7,4,3,6,5,1]=>[4,2,6,1,7,3,5]=>{{1,4},{2},{3,6},{5,7}}=>1
[2,7,4,5,1,3,6]=>[4,2,7,5,3,1,6]=>{{1,3,4,5,6,7},{2}}=>5
[2,7,4,5,1,6,3]=>[4,2,6,5,3,7,1]=>{{1,3,4,5,6,7},{2}}=>5
[2,7,4,5,3,1,6]=>[4,2,7,5,1,3,6]=>{{1,4,5},{2},{3,6,7}}=>2
[2,7,4,5,3,6,1]=>[4,2,6,5,1,7,3]=>{{1,4,5},{2},{3,6,7}}=>2
[2,7,4,5,6,1,3]=>[4,2,7,5,6,3,1]=>{{1,3,4,5,6,7},{2}}=>5
[2,7,4,5,6,3,1]=>[4,2,7,5,6,1,3]=>{{1,4,5,6},{2},{3,7}}=>3
[2,7,4,6,1,3,5]=>[4,2,7,6,3,5,1]=>{{1,3,4,5,6,7},{2}}=>5
[2,7,4,6,1,5,3]=>[4,2,7,6,3,1,5]=>{{1,4,6},{2},{3,5,7}}=>2
[2,7,4,6,3,1,5]=>[4,2,7,6,1,5,3]=>{{1,4,5,6},{2},{3,7}}=>3
[2,7,4,6,3,5,1]=>[4,2,7,6,1,3,5]=>{{1,3,4,5,6,7},{2}}=>5
[2,7,4,6,5,1,3]=>[4,2,6,5,7,3,1]=>{{1,4,5,7},{2},{3,6}}=>4
[2,7,4,6,5,3,1]=>[4,2,6,5,7,1,3]=>{{1,3,4,5,6,7},{2}}=>5
[2,7,5,1,3,4,6]=>[5,2,7,3,4,1,6]=>{{1,3,4,5,6,7},{2}}=>5
[2,7,5,1,3,6,4]=>[5,2,6,3,4,7,1]=>{{1,3,4,5,6,7},{2}}=>5
[2,7,5,1,4,3,6]=>[5,2,7,3,1,4,6]=>{{1,5},{2},{3,4,6,7}}=>1
[2,7,5,1,4,6,3]=>[5,2,6,3,1,7,4]=>{{1,5},{2},{3,4,6,7}}=>1
[2,7,5,1,6,3,4]=>[5,2,7,3,6,4,1]=>{{1,3,4,5,6,7},{2}}=>5
[2,7,5,1,6,4,3]=>[5,2,7,3,6,1,4]=>{{1,5,6},{2},{3,4,7}}=>2
[2,7,5,3,1,4,6]=>[5,2,7,1,4,3,6]=>{{1,4,5},{2},{3,6,7}}=>2
[2,7,5,3,1,6,4]=>[5,2,6,1,4,7,3]=>{{1,4,5},{2},{3,6,7}}=>2
[2,7,5,3,4,1,6]=>[5,2,7,1,3,4,6]=>{{1,3,4,5,6,7},{2}}=>5
[2,7,5,3,4,6,1]=>[5,2,6,1,3,7,4]=>{{1,3,4,5,6,7},{2}}=>5
[2,7,5,3,6,1,4]=>[5,2,7,1,6,4,3]=>{{1,4,5,6},{2},{3,7}}=>3
[2,7,5,3,6,4,1]=>[5,2,7,1,6,3,4]=>{{1,3,4,5,6,7},{2}}=>5
[2,7,5,4,1,3,6]=>[4,2,5,7,3,1,6]=>{{1,4,6,7},{2},{3,5}}=>5
[2,7,5,4,1,6,3]=>[4,2,5,6,3,7,1]=>{{1,4,6,7},{2},{3,5}}=>5
[2,7,5,4,3,1,6]=>[4,2,5,7,1,3,6]=>{{1,3,4,5,6,7},{2}}=>5
[2,7,5,4,3,6,1]=>[4,2,5,6,1,7,3]=>{{1,3,4,5,6,7},{2}}=>5
[2,7,5,4,6,1,3]=>[4,2,5,7,6,3,1]=>{{1,4,7},{2},{3,5,6}}=>3
[2,7,5,4,6,3,1]=>[4,2,5,7,6,1,3]=>{{1,3,4,5,6,7},{2}}=>5
[2,7,5,6,1,3,4]=>[5,2,7,6,4,3,1]=>{{1,3,4,5,6,7},{2}}=>5
[2,7,5,6,1,4,3]=>[5,2,7,6,4,1,3]=>{{1,4,5,6},{2},{3,7}}=>3
[2,7,5,6,3,1,4]=>[5,2,7,6,3,4,1]=>{{1,3,5,7},{2},{4,6}}=>4
[2,7,5,6,3,4,1]=>[5,2,7,6,3,1,4]=>{{1,3,4,5,6,7},{2}}=>5
[2,7,5,6,4,1,3]=>[5,2,7,6,1,4,3]=>{{1,5},{2},{3,7},{4,6}}=>2
[2,7,5,6,4,3,1]=>[5,2,7,6,1,3,4]=>{{1,5},{2},{3,4,6,7}}=>1
[2,7,6,1,3,4,5]=>[6,2,7,3,4,5,1]=>{{1,3,4,5,6,7},{2}}=>5
[2,7,6,1,3,5,4]=>[6,2,7,3,4,1,5]=>{{1,6},{2},{3,4,5,7}}=>1
[2,7,6,1,4,3,5]=>[6,2,7,3,1,5,4]=>{{1,5,6},{2},{3,4,7}}=>2
[2,7,6,1,4,5,3]=>[6,2,7,3,1,4,5]=>{{1,3,4,5,6,7},{2}}=>5
[2,7,6,1,5,3,4]=>[5,2,6,3,7,4,1]=>{{1,5,7},{2},{3,4,6}}=>3
[2,7,6,1,5,4,3]=>[5,2,6,3,7,1,4]=>{{1,3,4,5,6,7},{2}}=>5
[2,7,6,3,1,4,5]=>[6,2,7,1,4,5,3]=>{{1,4,5,6},{2},{3,7}}=>3
[2,7,6,3,1,5,4]=>[6,2,7,1,4,3,5]=>{{1,3,4,5,6,7},{2}}=>5
[2,7,6,3,4,1,5]=>[6,2,7,1,3,5,4]=>{{1,3,4,5,6,7},{2}}=>5
[2,7,6,3,4,5,1]=>[6,2,7,1,3,4,5]=>{{1,4,6},{2},{3,5,7}}=>2
[2,7,6,3,5,1,4]=>[5,2,6,1,7,4,3]=>{{1,3,4,5,6,7},{2}}=>5
[2,7,6,3,5,4,1]=>[5,2,6,1,7,3,4]=>{{1,4,5,7},{2},{3,6}}=>4
[2,7,6,4,1,3,5]=>[4,2,6,7,3,5,1]=>{{1,4,7},{2},{3,5,6}}=>3
[2,7,6,4,1,5,3]=>[4,2,6,7,3,1,5]=>{{1,3,4,5,6,7},{2}}=>5
[2,7,6,4,3,1,5]=>[4,2,6,7,1,5,3]=>{{1,3,4,5,6,7},{2}}=>5
[2,7,6,4,3,5,1]=>[4,2,6,7,1,3,5]=>{{1,4,5,7},{2},{3,6}}=>4
[2,7,6,4,5,1,3]=>[4,2,5,6,7,3,1]=>{{1,3,4,5,6,7},{2}}=>5
[2,7,6,4,5,3,1]=>[4,2,5,6,7,1,3]=>{{1,4,6},{2},{3,5,7}}=>2
[2,7,6,5,1,3,4]=>[5,2,6,7,4,3,1]=>{{1,4,5,7},{2},{3,6}}=>4
[2,7,6,5,1,4,3]=>[5,2,6,7,4,1,3]=>{{1,3,4,5,6,7},{2}}=>5
[2,7,6,5,3,1,4]=>[5,2,6,7,3,4,1]=>{{1,3,4,5,6,7},{2}}=>5
[2,7,6,5,3,4,1]=>[5,2,6,7,3,1,4]=>{{1,3,5,6},{2},{4,7}}=>3
[2,7,6,5,4,1,3]=>[5,2,6,7,1,4,3]=>{{1,5},{2},{3,4,6,7}}=>1
[2,7,6,5,4,3,1]=>[5,2,6,7,1,3,4]=>{{1,5},{2},{3,6},{4,7}}=>1
[3,1,2,4,5,6,7]=>[3,1,2,4,5,6,7]=>{{1,2,3},{4},{5},{6},{7}}=>0
[3,1,2,4,5,7,6]=>[3,1,2,4,5,7,6]=>{{1,2,3},{4},{5},{6,7}}=>0
[3,1,2,4,6,5,7]=>[3,1,2,4,6,5,7]=>{{1,2,3},{4},{5,6},{7}}=>0
[3,1,2,4,6,7,5]=>[3,1,2,4,7,6,5]=>{{1,2,3},{4},{5,7},{6}}=>1
[3,1,2,4,7,5,6]=>[3,1,2,4,7,5,6]=>{{1,2,3},{4},{5,6,7}}=>0
[3,1,2,4,7,6,5]=>[3,1,2,4,6,7,5]=>{{1,2,3},{4},{5,6,7}}=>0
[3,1,2,5,4,6,7]=>[3,1,2,5,4,6,7]=>{{1,2,3},{4,5},{6},{7}}=>0
[3,1,2,5,4,7,6]=>[3,1,2,5,4,7,6]=>{{1,2,3},{4,5},{6,7}}=>0
[3,1,2,5,6,4,7]=>[3,1,2,6,5,4,7]=>{{1,2,3},{4,6},{5},{7}}=>1
[3,1,2,5,6,7,4]=>[3,1,2,7,5,6,4]=>{{1,2,3},{4,7},{5},{6}}=>2
[3,1,2,5,7,4,6]=>[3,1,2,7,5,4,6]=>{{1,2,3},{4,6,7},{5}}=>2
[3,1,2,5,7,6,4]=>[3,1,2,6,5,7,4]=>{{1,2,3},{4,6,7},{5}}=>2
[3,1,2,6,4,5,7]=>[3,1,2,6,4,5,7]=>{{1,2,3},{4,5,6},{7}}=>0
[3,1,2,6,4,7,5]=>[3,1,2,7,4,6,5]=>{{1,2,3},{4,5,7},{6}}=>1
[3,1,2,6,5,4,7]=>[3,1,2,5,6,4,7]=>{{1,2,3},{4,5,6},{7}}=>0
[3,1,2,6,5,7,4]=>[3,1,2,5,7,6,4]=>{{1,2,3},{4,5,7},{6}}=>1
[3,1,2,6,7,4,5]=>[3,1,2,7,6,5,4]=>{{1,2,3},{4,7},{5,6}}=>1
[3,1,2,6,7,5,4]=>[3,1,2,7,6,4,5]=>{{1,2,3},{4,5,6,7}}=>0
[3,1,2,7,4,5,6]=>[3,1,2,7,4,5,6]=>{{1,2,3},{4,5,6,7}}=>0
[3,1,2,7,4,6,5]=>[3,1,2,6,4,7,5]=>{{1,2,3},{4,5,6,7}}=>0
[3,1,2,7,5,4,6]=>[3,1,2,5,7,4,6]=>{{1,2,3},{4,5,6,7}}=>0
[3,1,2,7,5,6,4]=>[3,1,2,5,6,7,4]=>{{1,2,3},{4,5,6,7}}=>0
[3,1,2,7,6,4,5]=>[3,1,2,6,7,5,4]=>{{1,2,3},{4,5,6,7}}=>0
[3,1,2,7,6,5,4]=>[3,1,2,6,7,4,5]=>{{1,2,3},{4,6},{5,7}}=>0
[3,1,4,2,5,6,7]=>[4,1,3,2,5,6,7]=>{{1,2,4},{3},{5},{6},{7}}=>1
[3,1,4,2,5,7,6]=>[4,1,3,2,5,7,6]=>{{1,2,4},{3},{5},{6,7}}=>1
[3,1,4,2,6,5,7]=>[4,1,3,2,6,5,7]=>{{1,2,4},{3},{5,6},{7}}=>1
[3,1,4,2,6,7,5]=>[4,1,3,2,7,6,5]=>{{1,2,4},{3},{5,7},{6}}=>2
[3,1,4,2,7,5,6]=>[4,1,3,2,7,5,6]=>{{1,2,4},{3},{5,6,7}}=>1
[3,1,4,2,7,6,5]=>[4,1,3,2,6,7,5]=>{{1,2,4},{3},{5,6,7}}=>1
[3,1,4,5,2,6,7]=>[5,1,3,4,2,6,7]=>{{1,2,5},{3},{4},{6},{7}}=>2
[3,1,4,5,2,7,6]=>[5,1,3,4,2,7,6]=>{{1,2,5},{3},{4},{6,7}}=>2
[3,1,4,5,6,2,7]=>[6,1,3,4,5,2,7]=>{{1,2,6},{3},{4},{5},{7}}=>3
[3,1,4,5,6,7,2]=>[7,1,3,4,5,6,2]=>{{1,2,7},{3},{4},{5},{6}}=>4
[3,1,4,5,7,2,6]=>[7,1,3,4,5,2,6]=>{{1,2,6,7},{3},{4},{5}}=>6
[3,1,4,5,7,6,2]=>[6,1,3,4,5,7,2]=>{{1,2,6,7},{3},{4},{5}}=>6
[3,1,4,6,2,5,7]=>[6,1,3,4,2,5,7]=>{{1,2,5,6},{3},{4},{7}}=>4
[3,1,4,6,2,7,5]=>[7,1,3,4,2,6,5]=>{{1,2,5,7},{3},{4},{6}}=>5
[3,1,4,6,5,2,7]=>[5,1,3,4,6,2,7]=>{{1,2,5,6},{3},{4},{7}}=>4
[3,1,4,6,5,7,2]=>[5,1,3,4,7,6,2]=>{{1,2,5,7},{3},{4},{6}}=>5
[3,1,4,6,7,2,5]=>[7,1,3,4,6,5,2]=>{{1,2,7},{3},{4},{5,6}}=>3
[3,1,4,6,7,5,2]=>[7,1,3,4,6,2,5]=>{{1,2,5,6,7},{3},{4}}=>6
[3,1,4,7,2,5,6]=>[7,1,3,4,2,5,6]=>{{1,2,5,6,7},{3},{4}}=>6
[3,1,4,7,2,6,5]=>[6,1,3,4,2,7,5]=>{{1,2,5,6,7},{3},{4}}=>6
[3,1,4,7,5,2,6]=>[5,1,3,4,7,2,6]=>{{1,2,5,6,7},{3},{4}}=>6
[3,1,4,7,5,6,2]=>[5,1,3,4,6,7,2]=>{{1,2,5,6,7},{3},{4}}=>6
[3,1,4,7,6,2,5]=>[6,1,3,4,7,5,2]=>{{1,2,5,6,7},{3},{4}}=>6
[3,1,4,7,6,5,2]=>[6,1,3,4,7,2,5]=>{{1,2,6},{3},{4},{5,7}}=>2
[3,1,5,2,4,6,7]=>[5,1,3,2,4,6,7]=>{{1,2,4,5},{3},{6},{7}}=>2
[3,1,5,2,4,7,6]=>[5,1,3,2,4,7,6]=>{{1,2,4,5},{3},{6,7}}=>2
[3,1,5,2,6,4,7]=>[6,1,3,2,5,4,7]=>{{1,2,4,6},{3},{5},{7}}=>3
[3,1,5,2,6,7,4]=>[7,1,3,2,5,6,4]=>{{1,2,4,7},{3},{5},{6}}=>4
[3,1,5,2,7,4,6]=>[7,1,3,2,5,4,6]=>{{1,2,4,6,7},{3},{5}}=>5
[3,1,5,2,7,6,4]=>[6,1,3,2,5,7,4]=>{{1,2,4,6,7},{3},{5}}=>5
[3,1,5,4,2,6,7]=>[4,1,3,5,2,6,7]=>{{1,2,4,5},{3},{6},{7}}=>2
[3,1,5,4,2,7,6]=>[4,1,3,5,2,7,6]=>{{1,2,4,5},{3},{6,7}}=>2
[3,1,5,4,6,2,7]=>[4,1,3,6,5,2,7]=>{{1,2,4,6},{3},{5},{7}}=>3
[3,1,5,4,6,7,2]=>[4,1,3,7,5,6,2]=>{{1,2,4,7},{3},{5},{6}}=>4
[3,1,5,4,7,2,6]=>[4,1,3,7,5,2,6]=>{{1,2,4,6,7},{3},{5}}=>5
[3,1,5,4,7,6,2]=>[4,1,3,6,5,7,2]=>{{1,2,4,6,7},{3},{5}}=>5
[3,1,5,6,2,4,7]=>[6,1,3,5,4,2,7]=>{{1,2,6},{3},{4,5},{7}}=>2
[3,1,5,6,2,7,4]=>[7,1,3,5,4,6,2]=>{{1,2,7},{3},{4,5},{6}}=>3
[3,1,5,6,4,2,7]=>[6,1,3,5,2,4,7]=>{{1,2,4,5,6},{3},{7}}=>3
[3,1,5,6,4,7,2]=>[7,1,3,5,2,6,4]=>{{1,2,4,5,7},{3},{6}}=>4
[3,1,5,6,7,2,4]=>[7,1,3,6,5,4,2]=>{{1,2,7},{3},{4,6},{5}}=>4
[3,1,5,6,7,4,2]=>[7,1,3,6,5,2,4]=>{{1,2,4,6,7},{3},{5}}=>5
[3,1,5,7,2,4,6]=>[7,1,3,5,4,2,6]=>{{1,2,6,7},{3},{4,5}}=>4
[3,1,5,7,2,6,4]=>[6,1,3,5,4,7,2]=>{{1,2,6,7},{3},{4,5}}=>4
[3,1,5,7,4,2,6]=>[7,1,3,5,2,4,6]=>{{1,2,4,5,6,7},{3}}=>4
[3,1,5,7,4,6,2]=>[6,1,3,5,2,7,4]=>{{1,2,4,5,6,7},{3}}=>4
[3,1,5,7,6,2,4]=>[7,1,3,5,6,4,2]=>{{1,2,7},{3},{4,5,6}}=>2
[3,1,5,7,6,4,2]=>[7,1,3,5,6,2,4]=>{{1,2,4,5,6,7},{3}}=>4
[3,1,6,2,4,5,7]=>[6,1,3,2,4,5,7]=>{{1,2,4,5,6},{3},{7}}=>3
[3,1,6,2,4,7,5]=>[7,1,3,2,4,6,5]=>{{1,2,4,5,7},{3},{6}}=>4
[3,1,6,2,5,4,7]=>[5,1,3,2,6,4,7]=>{{1,2,4,5,6},{3},{7}}=>3
[3,1,6,2,5,7,4]=>[5,1,3,2,7,6,4]=>{{1,2,4,5,7},{3},{6}}=>4
[3,1,6,2,7,4,5]=>[7,1,3,2,6,5,4]=>{{1,2,4,7},{3},{5,6}}=>3
[3,1,6,2,7,5,4]=>[7,1,3,2,6,4,5]=>{{1,2,4,5,6,7},{3}}=>4
[3,1,6,4,2,5,7]=>[4,1,3,6,2,5,7]=>{{1,2,4,5,6},{3},{7}}=>3
[3,1,6,4,2,7,5]=>[4,1,3,7,2,6,5]=>{{1,2,4,5,7},{3},{6}}=>4
[3,1,6,4,5,2,7]=>[4,1,3,5,6,2,7]=>{{1,2,4,5,6},{3},{7}}=>3
[3,1,6,4,5,7,2]=>[4,1,3,5,7,6,2]=>{{1,2,4,5,7},{3},{6}}=>4
[3,1,6,4,7,2,5]=>[4,1,3,7,6,5,2]=>{{1,2,4,7},{3},{5,6}}=>3
[3,1,6,4,7,5,2]=>[4,1,3,7,6,2,5]=>{{1,2,4,5,6,7},{3}}=>4
[3,1,6,5,2,4,7]=>[5,1,3,6,4,2,7]=>{{1,2,4,5,6},{3},{7}}=>3
[3,1,6,5,2,7,4]=>[5,1,3,7,4,6,2]=>{{1,2,4,5,7},{3},{6}}=>4
[3,1,6,5,4,2,7]=>[5,1,3,6,2,4,7]=>{{1,2,5},{3},{4,6},{7}}=>1
[3,1,6,5,4,7,2]=>[5,1,3,7,2,6,4]=>{{1,2,5},{3},{4,7},{6}}=>2
[3,1,6,5,7,2,4]=>[6,1,3,7,5,4,2]=>{{1,2,4,6,7},{3},{5}}=>5
[3,1,6,5,7,4,2]=>[6,1,3,7,5,2,4]=>{{1,2,6},{3},{4,7},{5}}=>3
[3,1,6,7,2,4,5]=>[7,1,3,6,4,5,2]=>{{1,2,7},{3},{4,5,6}}=>2
[3,1,6,7,2,5,4]=>[7,1,3,6,4,2,5]=>{{1,2,4,5,6,7},{3}}=>4
[3,1,6,7,4,2,5]=>[7,1,3,6,2,5,4]=>{{1,2,4,5,6,7},{3}}=>4
[3,1,6,7,4,5,2]=>[7,1,3,6,2,4,5]=>{{1,2,5,7},{3},{4,6}}=>3
[3,1,6,7,5,2,4]=>[6,1,3,5,7,4,2]=>{{1,2,4,5,6,7},{3}}=>4
[3,1,6,7,5,4,2]=>[6,1,3,5,7,2,4]=>{{1,2,6},{3},{4,5,7}}=>1
[3,1,7,2,4,5,6]=>[7,1,3,2,4,5,6]=>{{1,2,4,5,6,7},{3}}=>4
[3,1,7,2,4,6,5]=>[6,1,3,2,4,7,5]=>{{1,2,4,5,6,7},{3}}=>4
[3,1,7,2,5,4,6]=>[5,1,3,2,7,4,6]=>{{1,2,4,5,6,7},{3}}=>4
[3,1,7,2,5,6,4]=>[5,1,3,2,6,7,4]=>{{1,2,4,5,6,7},{3}}=>4
[3,1,7,2,6,4,5]=>[6,1,3,2,7,5,4]=>{{1,2,4,5,6,7},{3}}=>4
[3,1,7,2,6,5,4]=>[6,1,3,2,7,4,5]=>{{1,2,4,6},{3},{5,7}}=>2
[3,1,7,4,2,5,6]=>[4,1,3,7,2,5,6]=>{{1,2,4,5,6,7},{3}}=>4
[3,1,7,4,2,6,5]=>[4,1,3,6,2,7,5]=>{{1,2,4,5,6,7},{3}}=>4
[3,1,7,4,5,2,6]=>[4,1,3,5,7,2,6]=>{{1,2,4,5,6,7},{3}}=>4
[3,1,7,4,5,6,2]=>[4,1,3,5,6,7,2]=>{{1,2,4,5,6,7},{3}}=>4
[3,1,7,4,6,2,5]=>[4,1,3,6,7,5,2]=>{{1,2,4,5,6,7},{3}}=>4
[3,1,7,4,6,5,2]=>[4,1,3,6,7,2,5]=>{{1,2,4,6},{3},{5,7}}=>2
[3,1,7,5,2,4,6]=>[5,1,3,7,4,2,6]=>{{1,2,4,5,6,7},{3}}=>4
[3,1,7,5,2,6,4]=>[5,1,3,6,4,7,2]=>{{1,2,4,5,6,7},{3}}=>4
[3,1,7,5,4,2,6]=>[5,1,3,7,2,4,6]=>{{1,2,5},{3},{4,6,7}}=>1
[3,1,7,5,4,6,2]=>[5,1,3,6,2,7,4]=>{{1,2,5},{3},{4,6,7}}=>1
[3,1,7,5,6,2,4]=>[5,1,3,7,6,4,2]=>{{1,2,4,5,6,7},{3}}=>4
[3,1,7,5,6,4,2]=>[5,1,3,7,6,2,4]=>{{1,2,5,6},{3},{4,7}}=>2
[3,1,7,6,2,4,5]=>[6,1,3,7,4,5,2]=>{{1,2,4,5,6,7},{3}}=>4
[3,1,7,6,2,5,4]=>[6,1,3,7,4,2,5]=>{{1,2,6},{3},{4,5,7}}=>1
[3,1,7,6,4,2,5]=>[6,1,3,7,2,5,4]=>{{1,2,5,6},{3},{4,7}}=>2
[3,1,7,6,4,5,2]=>[6,1,3,7,2,4,5]=>{{1,2,4,5,6,7},{3}}=>4
[3,1,7,6,5,2,4]=>[5,1,3,6,7,4,2]=>{{1,2,5,7},{3},{4,6}}=>3
[3,1,7,6,5,4,2]=>[5,1,3,6,7,2,4]=>{{1,2,4,5,6,7},{3}}=>4
[3,2,1,4,5,6,7]=>[2,3,1,4,5,6,7]=>{{1,2,3},{4},{5},{6},{7}}=>0
[3,2,1,4,5,7,6]=>[2,3,1,4,5,7,6]=>{{1,2,3},{4},{5},{6,7}}=>0
[3,2,1,4,6,5,7]=>[2,3,1,4,6,5,7]=>{{1,2,3},{4},{5,6},{7}}=>0
[3,2,1,4,6,7,5]=>[2,3,1,4,7,6,5]=>{{1,2,3},{4},{5,7},{6}}=>1
[3,2,1,4,7,5,6]=>[2,3,1,4,7,5,6]=>{{1,2,3},{4},{5,6,7}}=>0
[3,2,1,4,7,6,5]=>[2,3,1,4,6,7,5]=>{{1,2,3},{4},{5,6,7}}=>0
[3,2,1,5,4,6,7]=>[2,3,1,5,4,6,7]=>{{1,2,3},{4,5},{6},{7}}=>0
[3,2,1,5,4,7,6]=>[2,3,1,5,4,7,6]=>{{1,2,3},{4,5},{6,7}}=>0
[3,2,1,5,6,4,7]=>[2,3,1,6,5,4,7]=>{{1,2,3},{4,6},{5},{7}}=>1
[3,2,1,5,6,7,4]=>[2,3,1,7,5,6,4]=>{{1,2,3},{4,7},{5},{6}}=>2
[3,2,1,5,7,4,6]=>[2,3,1,7,5,4,6]=>{{1,2,3},{4,6,7},{5}}=>2
[3,2,1,5,7,6,4]=>[2,3,1,6,5,7,4]=>{{1,2,3},{4,6,7},{5}}=>2
[3,2,1,6,4,5,7]=>[2,3,1,6,4,5,7]=>{{1,2,3},{4,5,6},{7}}=>0
[3,2,1,6,4,7,5]=>[2,3,1,7,4,6,5]=>{{1,2,3},{4,5,7},{6}}=>1
[3,2,1,6,5,4,7]=>[2,3,1,5,6,4,7]=>{{1,2,3},{4,5,6},{7}}=>0
[3,2,1,6,5,7,4]=>[2,3,1,5,7,6,4]=>{{1,2,3},{4,5,7},{6}}=>1
[3,2,1,6,7,4,5]=>[2,3,1,7,6,5,4]=>{{1,2,3},{4,7},{5,6}}=>1
[3,2,1,6,7,5,4]=>[2,3,1,7,6,4,5]=>{{1,2,3},{4,5,6,7}}=>0
[3,2,1,7,4,5,6]=>[2,3,1,7,4,5,6]=>{{1,2,3},{4,5,6,7}}=>0
[3,2,1,7,4,6,5]=>[2,3,1,6,4,7,5]=>{{1,2,3},{4,5,6,7}}=>0
[3,2,1,7,5,4,6]=>[2,3,1,5,7,4,6]=>{{1,2,3},{4,5,6,7}}=>0
[3,2,1,7,5,6,4]=>[2,3,1,5,6,7,4]=>{{1,2,3},{4,5,6,7}}=>0
[3,2,1,7,6,4,5]=>[2,3,1,6,7,5,4]=>{{1,2,3},{4,5,6,7}}=>0
[3,2,1,7,6,5,4]=>[2,3,1,6,7,4,5]=>{{1,2,3},{4,6},{5,7}}=>0
[3,2,4,1,5,6,7]=>[2,4,3,1,5,6,7]=>{{1,2,4},{3},{5},{6},{7}}=>1
[3,2,4,1,5,7,6]=>[2,4,3,1,5,7,6]=>{{1,2,4},{3},{5},{6,7}}=>1
[3,2,4,1,6,5,7]=>[2,4,3,1,6,5,7]=>{{1,2,4},{3},{5,6},{7}}=>1
[3,2,4,1,6,7,5]=>[2,4,3,1,7,6,5]=>{{1,2,4},{3},{5,7},{6}}=>2
[3,2,4,1,7,5,6]=>[2,4,3,1,7,5,6]=>{{1,2,4},{3},{5,6,7}}=>1
[3,2,4,1,7,6,5]=>[2,4,3,1,6,7,5]=>{{1,2,4},{3},{5,6,7}}=>1
[3,2,4,5,1,6,7]=>[2,5,3,4,1,6,7]=>{{1,2,5},{3},{4},{6},{7}}=>2
[3,2,4,5,1,7,6]=>[2,5,3,4,1,7,6]=>{{1,2,5},{3},{4},{6,7}}=>2
[3,2,4,5,6,1,7]=>[2,6,3,4,5,1,7]=>{{1,2,6},{3},{4},{5},{7}}=>3
[3,2,4,5,6,7,1]=>[2,7,3,4,5,6,1]=>{{1,2,7},{3},{4},{5},{6}}=>4
[3,2,4,5,7,1,6]=>[2,7,3,4,5,1,6]=>{{1,2,6,7},{3},{4},{5}}=>6
[3,2,4,5,7,6,1]=>[2,6,3,4,5,7,1]=>{{1,2,6,7},{3},{4},{5}}=>6
[3,2,4,6,1,5,7]=>[2,6,3,4,1,5,7]=>{{1,2,5,6},{3},{4},{7}}=>4
[3,2,4,6,1,7,5]=>[2,7,3,4,1,6,5]=>{{1,2,5,7},{3},{4},{6}}=>5
[3,2,4,6,5,1,7]=>[2,5,3,4,6,1,7]=>{{1,2,5,6},{3},{4},{7}}=>4
[3,2,4,6,5,7,1]=>[2,5,3,4,7,6,1]=>{{1,2,5,7},{3},{4},{6}}=>5
[3,2,4,6,7,1,5]=>[2,7,3,4,6,5,1]=>{{1,2,7},{3},{4},{5,6}}=>3
[3,2,4,6,7,5,1]=>[2,7,3,4,6,1,5]=>{{1,2,5,6,7},{3},{4}}=>6
[3,2,4,7,1,5,6]=>[2,7,3,4,1,5,6]=>{{1,2,5,6,7},{3},{4}}=>6
[3,2,4,7,1,6,5]=>[2,6,3,4,1,7,5]=>{{1,2,5,6,7},{3},{4}}=>6
[3,2,4,7,5,1,6]=>[2,5,3,4,7,1,6]=>{{1,2,5,6,7},{3},{4}}=>6
[3,2,4,7,5,6,1]=>[2,5,3,4,6,7,1]=>{{1,2,5,6,7},{3},{4}}=>6
[3,2,4,7,6,1,5]=>[2,6,3,4,7,5,1]=>{{1,2,5,6,7},{3},{4}}=>6
[3,2,4,7,6,5,1]=>[2,6,3,4,7,1,5]=>{{1,2,6},{3},{4},{5,7}}=>2
[3,2,5,1,4,6,7]=>[2,5,3,1,4,6,7]=>{{1,2,4,5},{3},{6},{7}}=>2
[3,2,5,1,4,7,6]=>[2,5,3,1,4,7,6]=>{{1,2,4,5},{3},{6,7}}=>2
[3,2,5,1,6,4,7]=>[2,6,3,1,5,4,7]=>{{1,2,4,6},{3},{5},{7}}=>3
[3,2,5,1,6,7,4]=>[2,7,3,1,5,6,4]=>{{1,2,4,7},{3},{5},{6}}=>4
[3,2,5,1,7,4,6]=>[2,7,3,1,5,4,6]=>{{1,2,4,6,7},{3},{5}}=>5
[3,2,5,1,7,6,4]=>[2,6,3,1,5,7,4]=>{{1,2,4,6,7},{3},{5}}=>5
[3,2,5,4,1,6,7]=>[2,4,3,5,1,6,7]=>{{1,2,4,5},{3},{6},{7}}=>2
[3,2,5,4,1,7,6]=>[2,4,3,5,1,7,6]=>{{1,2,4,5},{3},{6,7}}=>2
[3,2,5,4,6,1,7]=>[2,4,3,6,5,1,7]=>{{1,2,4,6},{3},{5},{7}}=>3
[3,2,5,4,6,7,1]=>[2,4,3,7,5,6,1]=>{{1,2,4,7},{3},{5},{6}}=>4
[3,2,5,4,7,1,6]=>[2,4,3,7,5,1,6]=>{{1,2,4,6,7},{3},{5}}=>5
[3,2,5,4,7,6,1]=>[2,4,3,6,5,7,1]=>{{1,2,4,6,7},{3},{5}}=>5
[3,2,5,6,1,4,7]=>[2,6,3,5,4,1,7]=>{{1,2,6},{3},{4,5},{7}}=>2
[3,2,5,6,1,7,4]=>[2,7,3,5,4,6,1]=>{{1,2,7},{3},{4,5},{6}}=>3
[3,2,5,6,4,1,7]=>[2,6,3,5,1,4,7]=>{{1,2,4,5,6},{3},{7}}=>3
[3,2,5,6,4,7,1]=>[2,7,3,5,1,6,4]=>{{1,2,4,5,7},{3},{6}}=>4
[3,2,5,6,7,1,4]=>[2,7,3,6,5,4,1]=>{{1,2,7},{3},{4,6},{5}}=>4
[3,2,5,6,7,4,1]=>[2,7,3,6,5,1,4]=>{{1,2,4,6,7},{3},{5}}=>5
[3,2,5,7,1,4,6]=>[2,7,3,5,4,1,6]=>{{1,2,6,7},{3},{4,5}}=>4
[3,2,5,7,1,6,4]=>[2,6,3,5,4,7,1]=>{{1,2,6,7},{3},{4,5}}=>4
[3,2,5,7,4,1,6]=>[2,7,3,5,1,4,6]=>{{1,2,4,5,6,7},{3}}=>4
[3,2,5,7,4,6,1]=>[2,6,3,5,1,7,4]=>{{1,2,4,5,6,7},{3}}=>4
[3,2,5,7,6,1,4]=>[2,7,3,5,6,4,1]=>{{1,2,7},{3},{4,5,6}}=>2
[3,2,5,7,6,4,1]=>[2,7,3,5,6,1,4]=>{{1,2,4,5,6,7},{3}}=>4
[3,2,6,1,4,5,7]=>[2,6,3,1,4,5,7]=>{{1,2,4,5,6},{3},{7}}=>3
[3,2,6,1,4,7,5]=>[2,7,3,1,4,6,5]=>{{1,2,4,5,7},{3},{6}}=>4
[3,2,6,1,5,4,7]=>[2,5,3,1,6,4,7]=>{{1,2,4,5,6},{3},{7}}=>3
[3,2,6,1,5,7,4]=>[2,5,3,1,7,6,4]=>{{1,2,4,5,7},{3},{6}}=>4
[3,2,6,1,7,4,5]=>[2,7,3,1,6,5,4]=>{{1,2,4,7},{3},{5,6}}=>3
[3,2,6,1,7,5,4]=>[2,7,3,1,6,4,5]=>{{1,2,4,5,6,7},{3}}=>4
[3,2,6,4,1,5,7]=>[2,4,3,6,1,5,7]=>{{1,2,4,5,6},{3},{7}}=>3
[3,2,6,4,1,7,5]=>[2,4,3,7,1,6,5]=>{{1,2,4,5,7},{3},{6}}=>4
[3,2,6,4,5,1,7]=>[2,4,3,5,6,1,7]=>{{1,2,4,5,6},{3},{7}}=>3
[3,2,6,4,5,7,1]=>[2,4,3,5,7,6,1]=>{{1,2,4,5,7},{3},{6}}=>4
[3,2,6,4,7,1,5]=>[2,4,3,7,6,5,1]=>{{1,2,4,7},{3},{5,6}}=>3
[3,2,6,4,7,5,1]=>[2,4,3,7,6,1,5]=>{{1,2,4,5,6,7},{3}}=>4
[3,2,6,5,1,4,7]=>[2,5,3,6,4,1,7]=>{{1,2,4,5,6},{3},{7}}=>3
[3,2,6,5,1,7,4]=>[2,5,3,7,4,6,1]=>{{1,2,4,5,7},{3},{6}}=>4
[3,2,6,5,4,1,7]=>[2,5,3,6,1,4,7]=>{{1,2,5},{3},{4,6},{7}}=>1
[3,2,6,5,4,7,1]=>[2,5,3,7,1,6,4]=>{{1,2,5},{3},{4,7},{6}}=>2
[3,2,6,5,7,1,4]=>[2,6,3,7,5,4,1]=>{{1,2,4,6,7},{3},{5}}=>5
[3,2,6,5,7,4,1]=>[2,6,3,7,5,1,4]=>{{1,2,6},{3},{4,7},{5}}=>3
[3,2,6,7,1,4,5]=>[2,7,3,6,4,5,1]=>{{1,2,7},{3},{4,5,6}}=>2
[3,2,6,7,1,5,4]=>[2,7,3,6,4,1,5]=>{{1,2,4,5,6,7},{3}}=>4
[3,2,6,7,4,1,5]=>[2,7,3,6,1,5,4]=>{{1,2,4,5,6,7},{3}}=>4
[3,2,6,7,4,5,1]=>[2,7,3,6,1,4,5]=>{{1,2,5,7},{3},{4,6}}=>3
[3,2,6,7,5,1,4]=>[2,6,3,5,7,4,1]=>{{1,2,4,5,6,7},{3}}=>4
[3,2,6,7,5,4,1]=>[2,6,3,5,7,1,4]=>{{1,2,6},{3},{4,5,7}}=>1
[3,2,7,1,4,5,6]=>[2,7,3,1,4,5,6]=>{{1,2,4,5,6,7},{3}}=>4
[3,2,7,1,4,6,5]=>[2,6,3,1,4,7,5]=>{{1,2,4,5,6,7},{3}}=>4
[3,2,7,1,5,4,6]=>[2,5,3,1,7,4,6]=>{{1,2,4,5,6,7},{3}}=>4
[3,2,7,1,5,6,4]=>[2,5,3,1,6,7,4]=>{{1,2,4,5,6,7},{3}}=>4
[3,2,7,1,6,4,5]=>[2,6,3,1,7,5,4]=>{{1,2,4,5,6,7},{3}}=>4
[3,2,7,1,6,5,4]=>[2,6,3,1,7,4,5]=>{{1,2,4,6},{3},{5,7}}=>2
[3,2,7,4,1,5,6]=>[2,4,3,7,1,5,6]=>{{1,2,4,5,6,7},{3}}=>4
[3,2,7,4,1,6,5]=>[2,4,3,6,1,7,5]=>{{1,2,4,5,6,7},{3}}=>4
[3,2,7,4,5,1,6]=>[2,4,3,5,7,1,6]=>{{1,2,4,5,6,7},{3}}=>4
[3,2,7,4,5,6,1]=>[2,4,3,5,6,7,1]=>{{1,2,4,5,6,7},{3}}=>4
[3,2,7,4,6,1,5]=>[2,4,3,6,7,5,1]=>{{1,2,4,5,6,7},{3}}=>4
[3,2,7,4,6,5,1]=>[2,4,3,6,7,1,5]=>{{1,2,4,6},{3},{5,7}}=>2
[3,2,7,5,1,4,6]=>[2,5,3,7,4,1,6]=>{{1,2,4,5,6,7},{3}}=>4
[3,2,7,5,1,6,4]=>[2,5,3,6,4,7,1]=>{{1,2,4,5,6,7},{3}}=>4
[3,2,7,5,4,1,6]=>[2,5,3,7,1,4,6]=>{{1,2,5},{3},{4,6,7}}=>1
[3,2,7,5,4,6,1]=>[2,5,3,6,1,7,4]=>{{1,2,5},{3},{4,6,7}}=>1
[3,2,7,5,6,1,4]=>[2,5,3,7,6,4,1]=>{{1,2,4,5,6,7},{3}}=>4
[3,2,7,5,6,4,1]=>[2,5,3,7,6,1,4]=>{{1,2,5,6},{3},{4,7}}=>2
[3,2,7,6,1,4,5]=>[2,6,3,7,4,5,1]=>{{1,2,4,5,6,7},{3}}=>4
[3,2,7,6,1,5,4]=>[2,6,3,7,4,1,5]=>{{1,2,6},{3},{4,5,7}}=>1
[3,2,7,6,4,1,5]=>[2,6,3,7,1,5,4]=>{{1,2,5,6},{3},{4,7}}=>2
[3,2,7,6,4,5,1]=>[2,6,3,7,1,4,5]=>{{1,2,4,5,6,7},{3}}=>4
[3,2,7,6,5,1,4]=>[2,5,3,6,7,4,1]=>{{1,2,5,7},{3},{4,6}}=>3
[3,2,7,6,5,4,1]=>[2,5,3,6,7,1,4]=>{{1,2,4,5,6,7},{3}}=>4
[3,4,1,2,5,6,7]=>[4,3,2,1,5,6,7]=>{{1,4},{2,3},{5},{6},{7}}=>1
[3,4,1,2,5,7,6]=>[4,3,2,1,5,7,6]=>{{1,4},{2,3},{5},{6,7}}=>1
[3,4,1,2,6,5,7]=>[4,3,2,1,6,5,7]=>{{1,4},{2,3},{5,6},{7}}=>1
[3,4,1,2,6,7,5]=>[4,3,2,1,7,6,5]=>{{1,4},{2,3},{5,7},{6}}=>2
[3,4,1,2,7,5,6]=>[4,3,2,1,7,5,6]=>{{1,4},{2,3},{5,6,7}}=>1
[3,4,1,2,7,6,5]=>[4,3,2,1,6,7,5]=>{{1,4},{2,3},{5,6,7}}=>1
[3,4,1,5,2,6,7]=>[5,3,2,4,1,6,7]=>{{1,5},{2,3},{4},{6},{7}}=>2
[3,4,1,5,2,7,6]=>[5,3,2,4,1,7,6]=>{{1,5},{2,3},{4},{6,7}}=>2
[3,4,1,5,6,2,7]=>[6,3,2,4,5,1,7]=>{{1,6},{2,3},{4},{5},{7}}=>3
[3,4,1,5,6,7,2]=>[7,3,2,4,5,6,1]=>{{1,7},{2,3},{4},{5},{6}}=>4
[3,4,1,5,7,2,6]=>[7,3,2,4,5,1,6]=>{{1,6,7},{2,3},{4},{5}}=>6
[3,4,1,5,7,6,2]=>[6,3,2,4,5,7,1]=>{{1,6,7},{2,3},{4},{5}}=>6
[3,4,1,6,2,5,7]=>[6,3,2,4,1,5,7]=>{{1,5,6},{2,3},{4},{7}}=>4
[3,4,1,6,2,7,5]=>[7,3,2,4,1,6,5]=>{{1,5,7},{2,3},{4},{6}}=>5
[3,4,1,6,5,2,7]=>[5,3,2,4,6,1,7]=>{{1,5,6},{2,3},{4},{7}}=>4
[3,4,1,6,5,7,2]=>[5,3,2,4,7,6,1]=>{{1,5,7},{2,3},{4},{6}}=>5
[3,4,1,6,7,2,5]=>[7,3,2,4,6,5,1]=>{{1,7},{2,3},{4},{5,6}}=>3
[3,4,1,6,7,5,2]=>[7,3,2,4,6,1,5]=>{{1,5,6,7},{2,3},{4}}=>6
[3,4,1,7,2,5,6]=>[7,3,2,4,1,5,6]=>{{1,5,6,7},{2,3},{4}}=>6
[3,4,1,7,2,6,5]=>[6,3,2,4,1,7,5]=>{{1,5,6,7},{2,3},{4}}=>6
[3,4,1,7,5,2,6]=>[5,3,2,4,7,1,6]=>{{1,5,6,7},{2,3},{4}}=>6
[3,4,1,7,5,6,2]=>[5,3,2,4,6,7,1]=>{{1,5,6,7},{2,3},{4}}=>6
[3,4,1,7,6,2,5]=>[6,3,2,4,7,5,1]=>{{1,5,6,7},{2,3},{4}}=>6
[3,4,1,7,6,5,2]=>[6,3,2,4,7,1,5]=>{{1,6},{2,3},{4},{5,7}}=>2
[3,4,2,1,5,6,7]=>[4,3,1,2,5,6,7]=>{{1,2,3,4},{5},{6},{7}}=>0
[3,4,2,1,5,7,6]=>[4,3,1,2,5,7,6]=>{{1,2,3,4},{5},{6,7}}=>0
[3,4,2,1,6,5,7]=>[4,3,1,2,6,5,7]=>{{1,2,3,4},{5,6},{7}}=>0
[3,4,2,1,6,7,5]=>[4,3,1,2,7,6,5]=>{{1,2,3,4},{5,7},{6}}=>1
[3,4,2,1,7,5,6]=>[4,3,1,2,7,5,6]=>{{1,2,3,4},{5,6,7}}=>0
[3,4,2,1,7,6,5]=>[4,3,1,2,6,7,5]=>{{1,2,3,4},{5,6,7}}=>0
[3,4,2,5,1,6,7]=>[5,3,1,4,2,6,7]=>{{1,2,3,5},{4},{6},{7}}=>1
[3,4,2,5,1,7,6]=>[5,3,1,4,2,7,6]=>{{1,2,3,5},{4},{6,7}}=>1
[3,4,2,5,6,1,7]=>[6,3,1,4,5,2,7]=>{{1,2,3,6},{4},{5},{7}}=>2
[3,4,2,5,6,7,1]=>[7,3,1,4,5,6,2]=>{{1,2,3,7},{4},{5},{6}}=>3
[3,4,2,5,7,1,6]=>[7,3,1,4,5,2,6]=>{{1,2,3,6,7},{4},{5}}=>4
[3,4,2,5,7,6,1]=>[6,3,1,4,5,7,2]=>{{1,2,3,6,7},{4},{5}}=>4
[3,4,2,6,1,5,7]=>[6,3,1,4,2,5,7]=>{{1,2,3,5,6},{4},{7}}=>2
[3,4,2,6,1,7,5]=>[7,3,1,4,2,6,5]=>{{1,2,3,5,7},{4},{6}}=>3
[3,4,2,6,5,1,7]=>[5,3,1,4,6,2,7]=>{{1,2,3,5,6},{4},{7}}=>2
[3,4,2,6,5,7,1]=>[5,3,1,4,7,6,2]=>{{1,2,3,5,7},{4},{6}}=>3
[3,4,2,6,7,1,5]=>[7,3,1,4,6,5,2]=>{{1,2,3,7},{4},{5,6}}=>2
[3,4,2,6,7,5,1]=>[7,3,1,4,6,2,5]=>{{1,2,3,5,6,7},{4}}=>3
[3,4,2,7,1,5,6]=>[7,3,1,4,2,5,6]=>{{1,2,3,5,6,7},{4}}=>3
[3,4,2,7,1,6,5]=>[6,3,1,4,2,7,5]=>{{1,2,3,5,6,7},{4}}=>3
[3,4,2,7,5,1,6]=>[5,3,1,4,7,2,6]=>{{1,2,3,5,6,7},{4}}=>3
[3,4,2,7,5,6,1]=>[5,3,1,4,6,7,2]=>{{1,2,3,5,6,7},{4}}=>3
[3,4,2,7,6,1,5]=>[6,3,1,4,7,5,2]=>{{1,2,3,5,6,7},{4}}=>3
[3,4,2,7,6,5,1]=>[6,3,1,4,7,2,5]=>{{1,2,3,6},{4},{5,7}}=>1
[3,4,5,1,2,6,7]=>[5,4,3,2,1,6,7]=>{{1,5},{2,4},{3},{6},{7}}=>3
[3,4,5,1,2,7,6]=>[5,4,3,2,1,7,6]=>{{1,5},{2,4},{3},{6,7}}=>3
[3,4,5,1,6,2,7]=>[6,4,3,2,5,1,7]=>{{1,6},{2,4},{3},{5},{7}}=>4
[3,4,5,1,6,7,2]=>[7,4,3,2,5,6,1]=>{{1,7},{2,4},{3},{5},{6}}=>5
[3,4,5,1,7,2,6]=>[7,4,3,2,5,1,6]=>{{1,6,7},{2,4},{3},{5}}=>7
[3,4,5,1,7,6,2]=>[6,4,3,2,5,7,1]=>{{1,6,7},{2,4},{3},{5}}=>7
[3,4,5,2,1,6,7]=>[5,4,3,1,2,6,7]=>{{1,2,4,5},{3},{6},{7}}=>2
[3,4,5,2,1,7,6]=>[5,4,3,1,2,7,6]=>{{1,2,4,5},{3},{6,7}}=>2
[3,4,5,2,6,1,7]=>[6,4,3,1,5,2,7]=>{{1,2,4,6},{3},{5},{7}}=>3
[3,4,5,2,6,7,1]=>[7,4,3,1,5,6,2]=>{{1,2,4,7},{3},{5},{6}}=>4
[3,4,5,2,7,1,6]=>[7,4,3,1,5,2,6]=>{{1,2,4,6,7},{3},{5}}=>5
[3,4,5,2,7,6,1]=>[6,4,3,1,5,7,2]=>{{1,2,4,6,7},{3},{5}}=>5
[3,4,5,6,1,2,7]=>[6,5,3,4,2,1,7]=>{{1,6},{2,5},{3},{4},{7}}=>5
[3,4,5,6,1,7,2]=>[7,5,3,4,2,6,1]=>{{1,7},{2,5},{3},{4},{6}}=>6
[3,4,5,6,2,1,7]=>[6,5,3,4,1,2,7]=>{{1,2,5,6},{3},{4},{7}}=>4
[3,4,5,6,2,7,1]=>[7,5,3,4,1,6,2]=>{{1,2,5,7},{3},{4},{6}}=>5
[3,4,5,6,7,1,2]=>[7,6,3,4,5,2,1]=>{{1,7},{2,6},{3},{4},{5}}=>7
[3,4,5,6,7,2,1]=>[7,6,3,4,5,1,2]=>{{1,2,6,7},{3},{4},{5}}=>6
[3,4,5,7,1,2,6]=>[7,5,3,4,2,1,6]=>{{1,6,7},{2,5},{3},{4}}=>8
[3,4,5,7,1,6,2]=>[6,5,3,4,2,7,1]=>{{1,6,7},{2,5},{3},{4}}=>8
[3,4,5,7,2,1,6]=>[7,5,3,4,1,2,6]=>{{1,2,5,6,7},{3},{4}}=>6
[3,4,5,7,2,6,1]=>[6,5,3,4,1,7,2]=>{{1,2,5,6,7},{3},{4}}=>6
[3,4,5,7,6,1,2]=>[7,5,3,4,6,2,1]=>{{1,7},{2,5,6},{3},{4}}=>7
[3,4,5,7,6,2,1]=>[7,5,3,4,6,1,2]=>{{1,2,5,6,7},{3},{4}}=>6
[3,4,6,1,2,5,7]=>[6,4,3,2,1,5,7]=>{{1,5,6},{2,4},{3},{7}}=>5
[3,4,6,1,2,7,5]=>[7,4,3,2,1,6,5]=>{{1,5,7},{2,4},{3},{6}}=>6
[3,4,6,1,5,2,7]=>[5,4,3,2,6,1,7]=>{{1,5,6},{2,4},{3},{7}}=>5
[3,4,6,1,5,7,2]=>[5,4,3,2,7,6,1]=>{{1,5,7},{2,4},{3},{6}}=>6
[3,4,6,1,7,2,5]=>[7,4,3,2,6,5,1]=>{{1,7},{2,4},{3},{5,6}}=>4
[3,4,6,1,7,5,2]=>[7,4,3,2,6,1,5]=>{{1,5,6,7},{2,4},{3}}=>7
[3,4,6,2,1,5,7]=>[6,4,3,1,2,5,7]=>{{1,2,4,5,6},{3},{7}}=>3
[3,4,6,2,1,7,5]=>[7,4,3,1,2,6,5]=>{{1,2,4,5,7},{3},{6}}=>4
[3,4,6,2,5,1,7]=>[5,4,3,1,6,2,7]=>{{1,2,4,5,6},{3},{7}}=>3
[3,4,6,2,5,7,1]=>[5,4,3,1,7,6,2]=>{{1,2,4,5,7},{3},{6}}=>4
[3,4,6,2,7,1,5]=>[7,4,3,1,6,5,2]=>{{1,2,4,7},{3},{5,6}}=>3
[3,4,6,2,7,5,1]=>[7,4,3,1,6,2,5]=>{{1,2,4,5,6,7},{3}}=>4
[3,4,6,5,1,2,7]=>[6,4,3,5,2,1,7]=>{{1,6},{2,4,5},{3},{7}}=>4
[3,4,6,5,1,7,2]=>[7,4,3,5,2,6,1]=>{{1,7},{2,4,5},{3},{6}}=>5
[3,4,6,5,2,1,7]=>[6,4,3,5,1,2,7]=>{{1,2,4,5,6},{3},{7}}=>3
[3,4,6,5,2,7,1]=>[7,4,3,5,1,6,2]=>{{1,2,4,5,7},{3},{6}}=>4
[3,4,6,5,7,1,2]=>[7,4,3,6,5,2,1]=>{{1,7},{2,4,6},{3},{5}}=>6
[3,4,6,5,7,2,1]=>[7,4,3,6,5,1,2]=>{{1,2,4,6,7},{3},{5}}=>5
[3,4,6,7,1,2,5]=>[7,6,3,4,2,5,1]=>{{1,7},{2,5,6},{3},{4}}=>7
[3,4,6,7,1,5,2]=>[7,6,3,4,2,1,5]=>{{1,2,5,6,7},{3},{4}}=>6
[3,4,6,7,2,1,5]=>[7,6,3,4,1,5,2]=>{{1,2,5,6,7},{3},{4}}=>6
[3,4,6,7,2,5,1]=>[7,6,3,4,1,2,5]=>{{1,5,7},{2,6},{3},{4}}=>7
[3,4,6,7,5,1,2]=>[6,5,3,4,7,2,1]=>{{1,2,5,6,7},{3},{4}}=>6
[3,4,6,7,5,2,1]=>[6,5,3,4,7,1,2]=>{{1,6},{2,5,7},{3},{4}}=>6
[3,4,7,1,2,5,6]=>[7,4,3,2,1,5,6]=>{{1,5,6,7},{2,4},{3}}=>7
[3,4,7,1,2,6,5]=>[6,4,3,2,1,7,5]=>{{1,5,6,7},{2,4},{3}}=>7
[3,4,7,1,5,2,6]=>[5,4,3,2,7,1,6]=>{{1,5,6,7},{2,4},{3}}=>7
[3,4,7,1,5,6,2]=>[5,4,3,2,6,7,1]=>{{1,5,6,7},{2,4},{3}}=>7
[3,4,7,1,6,2,5]=>[6,4,3,2,7,5,1]=>{{1,5,6,7},{2,4},{3}}=>7
[3,4,7,1,6,5,2]=>[6,4,3,2,7,1,5]=>{{1,6},{2,4},{3},{5,7}}=>3
[3,4,7,2,1,5,6]=>[7,4,3,1,2,5,6]=>{{1,2,4,5,6,7},{3}}=>4
[3,4,7,2,1,6,5]=>[6,4,3,1,2,7,5]=>{{1,2,4,5,6,7},{3}}=>4
[3,4,7,2,5,1,6]=>[5,4,3,1,7,2,6]=>{{1,2,4,5,6,7},{3}}=>4
[3,4,7,2,5,6,1]=>[5,4,3,1,6,7,2]=>{{1,2,4,5,6,7},{3}}=>4
[3,4,7,2,6,1,5]=>[6,4,3,1,7,5,2]=>{{1,2,4,5,6,7},{3}}=>4
[3,4,7,2,6,5,1]=>[6,4,3,1,7,2,5]=>{{1,2,4,6},{3},{5,7}}=>2
[3,4,7,5,1,2,6]=>[7,4,3,5,2,1,6]=>{{1,6,7},{2,4,5},{3}}=>6
[3,4,7,5,1,6,2]=>[6,4,3,5,2,7,1]=>{{1,6,7},{2,4,5},{3}}=>6
[3,4,7,5,2,1,6]=>[7,4,3,5,1,2,6]=>{{1,2,4,5,6,7},{3}}=>4
[3,4,7,5,2,6,1]=>[6,4,3,5,1,7,2]=>{{1,2,4,5,6,7},{3}}=>4
[3,4,7,5,6,1,2]=>[7,4,3,5,6,2,1]=>{{1,7},{2,4,5,6},{3}}=>5
[3,4,7,5,6,2,1]=>[7,4,3,5,6,1,2]=>{{1,2,4,5,6,7},{3}}=>4
[3,4,7,6,1,2,5]=>[7,4,3,6,2,5,1]=>{{1,7},{2,4,5,6},{3}}=>5
[3,4,7,6,1,5,2]=>[7,4,3,6,2,1,5]=>{{1,2,4,5,6,7},{3}}=>4
[3,4,7,6,2,1,5]=>[7,4,3,6,1,5,2]=>{{1,2,4,5,6,7},{3}}=>4
[3,4,7,6,2,5,1]=>[7,4,3,6,1,2,5]=>{{1,5,7},{2,4,6},{3}}=>5
[3,4,7,6,5,1,2]=>[6,4,3,5,7,2,1]=>{{1,2,4,5,6,7},{3}}=>4
[3,4,7,6,5,2,1]=>[6,4,3,5,7,1,2]=>{{1,6},{2,4,5,7},{3}}=>4
[3,5,1,2,4,6,7]=>[5,3,2,1,4,6,7]=>{{1,4,5},{2,3},{6},{7}}=>2
[3,5,1,2,4,7,6]=>[5,3,2,1,4,7,6]=>{{1,4,5},{2,3},{6,7}}=>2
[3,5,1,2,6,4,7]=>[6,3,2,1,5,4,7]=>{{1,4,6},{2,3},{5},{7}}=>3
[3,5,1,2,6,7,4]=>[7,3,2,1,5,6,4]=>{{1,4,7},{2,3},{5},{6}}=>4
[3,5,1,2,7,4,6]=>[7,3,2,1,5,4,6]=>{{1,4,6,7},{2,3},{5}}=>5
[3,5,1,2,7,6,4]=>[6,3,2,1,5,7,4]=>{{1,4,6,7},{2,3},{5}}=>5
[3,5,1,4,2,6,7]=>[4,3,2,5,1,6,7]=>{{1,4,5},{2,3},{6},{7}}=>2
[3,5,1,4,2,7,6]=>[4,3,2,5,1,7,6]=>{{1,4,5},{2,3},{6,7}}=>2
[3,5,1,4,6,2,7]=>[4,3,2,6,5,1,7]=>{{1,4,6},{2,3},{5},{7}}=>3
[3,5,1,4,6,7,2]=>[4,3,2,7,5,6,1]=>{{1,4,7},{2,3},{5},{6}}=>4
[3,5,1,4,7,2,6]=>[4,3,2,7,5,1,6]=>{{1,4,6,7},{2,3},{5}}=>5
[3,5,1,4,7,6,2]=>[4,3,2,6,5,7,1]=>{{1,4,6,7},{2,3},{5}}=>5
[3,5,1,6,2,4,7]=>[6,3,2,5,4,1,7]=>{{1,6},{2,3},{4,5},{7}}=>2
[3,5,1,6,2,7,4]=>[7,3,2,5,4,6,1]=>{{1,7},{2,3},{4,5},{6}}=>3
[3,5,1,6,4,2,7]=>[6,3,2,5,1,4,7]=>{{1,4,5,6},{2,3},{7}}=>3
[3,5,1,6,4,7,2]=>[7,3,2,5,1,6,4]=>{{1,4,5,7},{2,3},{6}}=>4
[3,5,1,6,7,2,4]=>[7,3,2,6,5,4,1]=>{{1,7},{2,3},{4,6},{5}}=>4
[3,5,1,6,7,4,2]=>[7,3,2,6,5,1,4]=>{{1,4,6,7},{2,3},{5}}=>5
[3,5,1,7,2,4,6]=>[7,3,2,5,4,1,6]=>{{1,6,7},{2,3},{4,5}}=>4
[3,5,1,7,2,6,4]=>[6,3,2,5,4,7,1]=>{{1,6,7},{2,3},{4,5}}=>4
[3,5,1,7,4,2,6]=>[7,3,2,5,1,4,6]=>{{1,4,5,6,7},{2,3}}=>4
[3,5,1,7,4,6,2]=>[6,3,2,5,1,7,4]=>{{1,4,5,6,7},{2,3}}=>4
[3,5,1,7,6,2,4]=>[7,3,2,5,6,4,1]=>{{1,7},{2,3},{4,5,6}}=>2
[3,5,1,7,6,4,2]=>[7,3,2,5,6,1,4]=>{{1,4,5,6,7},{2,3}}=>4
[3,5,2,1,4,6,7]=>[5,3,1,2,4,6,7]=>{{1,2,3,4,5},{6},{7}}=>0
[3,5,2,1,4,7,6]=>[5,3,1,2,4,7,6]=>{{1,2,3,4,5},{6,7}}=>0
[3,5,2,1,6,4,7]=>[6,3,1,2,5,4,7]=>{{1,2,3,4,6},{5},{7}}=>1
[3,5,2,1,6,7,4]=>[7,3,1,2,5,6,4]=>{{1,2,3,4,7},{5},{6}}=>2
[3,5,2,1,7,4,6]=>[7,3,1,2,5,4,6]=>{{1,2,3,4,6,7},{5}}=>2
[3,5,2,1,7,6,4]=>[6,3,1,2,5,7,4]=>{{1,2,3,4,6,7},{5}}=>2
[3,5,2,4,1,6,7]=>[4,3,1,5,2,6,7]=>{{1,2,3,4,5},{6},{7}}=>0
[3,5,2,4,1,7,6]=>[4,3,1,5,2,7,6]=>{{1,2,3,4,5},{6,7}}=>0
[3,5,2,4,6,1,7]=>[4,3,1,6,5,2,7]=>{{1,2,3,4,6},{5},{7}}=>1
[3,5,2,4,6,7,1]=>[4,3,1,7,5,6,2]=>{{1,2,3,4,7},{5},{6}}=>2
[3,5,2,4,7,1,6]=>[4,3,1,7,5,2,6]=>{{1,2,3,4,6,7},{5}}=>2
[3,5,2,4,7,6,1]=>[4,3,1,6,5,7,2]=>{{1,2,3,4,6,7},{5}}=>2
[3,5,2,6,1,4,7]=>[6,3,1,5,4,2,7]=>{{1,2,3,6},{4,5},{7}}=>1
[3,5,2,6,1,7,4]=>[7,3,1,5,4,6,2]=>{{1,2,3,7},{4,5},{6}}=>2
[3,5,2,6,4,1,7]=>[6,3,1,5,2,4,7]=>{{1,2,3,4,5,6},{7}}=>0
[3,5,2,6,4,7,1]=>[7,3,1,5,2,6,4]=>{{1,2,3,4,5,7},{6}}=>1
[3,5,2,6,7,1,4]=>[7,3,1,6,5,4,2]=>{{1,2,3,7},{4,6},{5}}=>3
[3,5,2,6,7,4,1]=>[7,3,1,6,5,2,4]=>{{1,2,3,4,6,7},{5}}=>2
[3,5,2,7,1,4,6]=>[7,3,1,5,4,2,6]=>{{1,2,3,6,7},{4,5}}=>2
[3,5,2,7,1,6,4]=>[6,3,1,5,4,7,2]=>{{1,2,3,6,7},{4,5}}=>2
[3,5,2,7,4,1,6]=>[7,3,1,5,2,4,6]=>{{1,2,3,4,5,6,7}}=>0
[3,5,2,7,4,6,1]=>[6,3,1,5,2,7,4]=>{{1,2,3,4,5,6,7}}=>0
[3,5,2,7,6,1,4]=>[7,3,1,5,6,4,2]=>{{1,2,3,7},{4,5,6}}=>1
[3,5,2,7,6,4,1]=>[7,3,1,5,6,2,4]=>{{1,2,3,4,5,6,7}}=>0
[3,5,4,1,2,6,7]=>[5,3,4,2,1,6,7]=>{{1,5},{2,3,4},{6},{7}}=>1
[3,5,4,1,2,7,6]=>[5,3,4,2,1,7,6]=>{{1,5},{2,3,4},{6,7}}=>1
[3,5,4,1,6,2,7]=>[6,3,4,2,5,1,7]=>{{1,6},{2,3,4},{5},{7}}=>2
[3,5,4,1,6,7,2]=>[7,3,4,2,5,6,1]=>{{1,7},{2,3,4},{5},{6}}=>3
[3,5,4,1,7,2,6]=>[7,3,4,2,5,1,6]=>{{1,6,7},{2,3,4},{5}}=>4
[3,5,4,1,7,6,2]=>[6,3,4,2,5,7,1]=>{{1,6,7},{2,3,4},{5}}=>4
[3,5,4,2,1,6,7]=>[5,3,4,1,2,6,7]=>{{1,2,3,4,5},{6},{7}}=>0
[3,5,4,2,1,7,6]=>[5,3,4,1,2,7,6]=>{{1,2,3,4,5},{6,7}}=>0
[3,5,4,2,6,1,7]=>[6,3,4,1,5,2,7]=>{{1,2,3,4,6},{5},{7}}=>1
[3,5,4,2,6,7,1]=>[7,3,4,1,5,6,2]=>{{1,2,3,4,7},{5},{6}}=>2
[3,5,4,2,7,1,6]=>[7,3,4,1,5,2,6]=>{{1,2,3,4,6,7},{5}}=>2
[3,5,4,2,7,6,1]=>[6,3,4,1,5,7,2]=>{{1,2,3,4,6,7},{5}}=>2
[3,5,4,6,1,2,7]=>[6,3,5,4,2,1,7]=>{{1,6},{2,3,5},{4},{7}}=>3
[3,5,4,6,1,7,2]=>[7,3,5,4,2,6,1]=>{{1,7},{2,3,5},{4},{6}}=>4
[3,5,4,6,2,1,7]=>[6,3,5,4,1,2,7]=>{{1,2,3,5,6},{4},{7}}=>2
[3,5,4,6,2,7,1]=>[7,3,5,4,1,6,2]=>{{1,2,3,5,7},{4},{6}}=>3
[3,5,4,6,7,1,2]=>[7,3,6,4,5,2,1]=>{{1,7},{2,3,6},{4},{5}}=>5
[3,5,4,6,7,2,1]=>[7,3,6,4,5,1,2]=>{{1,2,3,6,7},{4},{5}}=>4
[3,5,4,7,1,2,6]=>[7,3,5,4,2,1,6]=>{{1,6,7},{2,3,5},{4}}=>5
[3,5,4,7,1,6,2]=>[6,3,5,4,2,7,1]=>{{1,6,7},{2,3,5},{4}}=>5
[3,5,4,7,2,1,6]=>[7,3,5,4,1,2,6]=>{{1,2,3,5,6,7},{4}}=>3
[3,5,4,7,2,6,1]=>[6,3,5,4,1,7,2]=>{{1,2,3,5,6,7},{4}}=>3
[3,5,4,7,6,1,2]=>[7,3,5,4,6,2,1]=>{{1,7},{2,3,5,6},{4}}=>4
[3,5,4,7,6,2,1]=>[7,3,5,4,6,1,2]=>{{1,2,3,5,6,7},{4}}=>3
[3,5,6,1,2,4,7]=>[6,5,3,2,4,1,7]=>{{1,6},{2,4,5},{3},{7}}=>4
[3,5,6,1,2,7,4]=>[7,5,3,2,4,6,1]=>{{1,7},{2,4,5},{3},{6}}=>5
[3,5,6,1,4,2,7]=>[6,5,3,2,1,4,7]=>{{1,2,4,5,6},{3},{7}}=>3
[3,5,6,1,4,7,2]=>[7,5,3,2,1,6,4]=>{{1,2,4,5,7},{3},{6}}=>4
[3,5,6,1,7,2,4]=>[7,6,3,2,5,4,1]=>{{1,7},{2,4,6},{3},{5}}=>6
[3,5,6,1,7,4,2]=>[7,6,3,2,5,1,4]=>{{1,2,4,6,7},{3},{5}}=>5
[3,5,6,2,1,4,7]=>[6,5,3,1,4,2,7]=>{{1,2,4,5,6},{3},{7}}=>3
[3,5,6,2,1,7,4]=>[7,5,3,1,4,6,2]=>{{1,2,4,5,7},{3},{6}}=>4
[3,5,6,2,4,1,7]=>[6,5,3,1,2,4,7]=>{{1,4,6},{2,5},{3},{7}}=>4
[3,5,6,2,4,7,1]=>[7,5,3,1,2,6,4]=>{{1,4,7},{2,5},{3},{6}}=>5
[3,5,6,2,7,1,4]=>[7,6,3,1,5,4,2]=>{{1,2,4,6,7},{3},{5}}=>5
[3,5,6,2,7,4,1]=>[7,6,3,1,5,2,4]=>{{1,4,7},{2,6},{3},{5}}=>6
[3,5,6,4,1,2,7]=>[5,4,3,6,2,1,7]=>{{1,2,4,5,6},{3},{7}}=>3
[3,5,6,4,1,7,2]=>[5,4,3,7,2,6,1]=>{{1,2,4,5,7},{3},{6}}=>4
[3,5,6,4,2,1,7]=>[5,4,3,6,1,2,7]=>{{1,5},{2,4,6},{3},{7}}=>3
[3,5,6,4,2,7,1]=>[5,4,3,7,1,6,2]=>{{1,5},{2,4,7},{3},{6}}=>4
[3,5,6,4,7,1,2]=>[6,4,3,7,5,2,1]=>{{1,2,4,6,7},{3},{5}}=>5
[3,5,6,4,7,2,1]=>[6,4,3,7,5,1,2]=>{{1,6},{2,4,7},{3},{5}}=>5
[3,5,6,7,1,2,4]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>5
[3,5,6,7,1,4,2]=>[7,6,3,5,4,1,2]=>{{1,2,6,7},{3},{4,5}}=>4
[3,5,6,7,2,1,4]=>[7,6,3,5,2,4,1]=>{{1,7},{2,4,5,6},{3}}=>5
[3,5,6,7,2,4,1]=>[7,6,3,5,2,1,4]=>{{1,2,4,5,6,7},{3}}=>4
[3,5,6,7,4,1,2]=>[7,6,3,5,1,4,2]=>{{1,2,4,5,6,7},{3}}=>4
[3,5,6,7,4,2,1]=>[7,6,3,5,1,2,4]=>{{1,4,5,7},{2,6},{3}}=>5
[3,5,7,1,2,4,6]=>[7,5,3,2,4,1,6]=>{{1,6,7},{2,4,5},{3}}=>6
[3,5,7,1,2,6,4]=>[6,5,3,2,4,7,1]=>{{1,6,7},{2,4,5},{3}}=>6
[3,5,7,1,4,2,6]=>[7,5,3,2,1,4,6]=>{{1,2,4,5,6,7},{3}}=>4
[3,5,7,1,4,6,2]=>[6,5,3,2,1,7,4]=>{{1,2,4,5,6,7},{3}}=>4
[3,5,7,1,6,2,4]=>[7,5,3,2,6,4,1]=>{{1,7},{2,4,5,6},{3}}=>5
[3,5,7,1,6,4,2]=>[7,5,3,2,6,1,4]=>{{1,2,4,5,6,7},{3}}=>4
[3,5,7,2,1,4,6]=>[7,5,3,1,4,2,6]=>{{1,2,4,5,6,7},{3}}=>4
[3,5,7,2,1,6,4]=>[6,5,3,1,4,7,2]=>{{1,2,4,5,6,7},{3}}=>4
[3,5,7,2,4,1,6]=>[7,5,3,1,2,4,6]=>{{1,4,6,7},{2,5},{3}}=>6
[3,5,7,2,4,6,1]=>[6,5,3,1,2,7,4]=>{{1,4,6,7},{2,5},{3}}=>6
[3,5,7,2,6,1,4]=>[7,5,3,1,6,4,2]=>{{1,2,4,5,6,7},{3}}=>4
[3,5,7,2,6,4,1]=>[7,5,3,1,6,2,4]=>{{1,4,7},{2,5,6},{3}}=>5
[3,5,7,4,1,2,6]=>[5,4,3,7,2,1,6]=>{{1,2,4,5,6,7},{3}}=>4
[3,5,7,4,1,6,2]=>[5,4,3,6,2,7,1]=>{{1,2,4,5,6,7},{3}}=>4
[3,5,7,4,2,1,6]=>[5,4,3,7,1,2,6]=>{{1,5},{2,4,6,7},{3}}=>4
[3,5,7,4,2,6,1]=>[5,4,3,6,1,7,2]=>{{1,5},{2,4,6,7},{3}}=>4
[3,5,7,4,6,1,2]=>[5,4,3,7,6,2,1]=>{{1,2,4,5,6,7},{3}}=>4
[3,5,7,4,6,2,1]=>[5,4,3,7,6,1,2]=>{{1,5,6},{2,4,7},{3}}=>4
[3,5,7,6,1,2,4]=>[7,5,3,6,4,2,1]=>{{1,7},{2,4,5,6},{3}}=>5
[3,5,7,6,1,4,2]=>[7,5,3,6,4,1,2]=>{{1,2,4,5,6,7},{3}}=>4
[3,5,7,6,2,1,4]=>[7,5,3,6,2,4,1]=>{{1,7},{2,5},{3},{4,6}}=>4
[3,5,7,6,2,4,1]=>[7,5,3,6,2,1,4]=>{{1,4,6,7},{2,5},{3}}=>6
[3,5,7,6,4,1,2]=>[7,5,3,6,1,4,2]=>{{1,2,5,7},{3},{4,6}}=>3
[3,5,7,6,4,2,1]=>[7,5,3,6,1,2,4]=>{{1,2,4,5,6,7},{3}}=>4
[3,6,1,2,4,5,7]=>[6,3,2,1,4,5,7]=>{{1,4,5,6},{2,3},{7}}=>3
[3,6,1,2,4,7,5]=>[7,3,2,1,4,6,5]=>{{1,4,5,7},{2,3},{6}}=>4
[3,6,1,2,5,4,7]=>[5,3,2,1,6,4,7]=>{{1,4,5,6},{2,3},{7}}=>3
[3,6,1,2,5,7,4]=>[5,3,2,1,7,6,4]=>{{1,4,5,7},{2,3},{6}}=>4
[3,6,1,2,7,4,5]=>[7,3,2,1,6,5,4]=>{{1,4,7},{2,3},{5,6}}=>3
[3,6,1,2,7,5,4]=>[7,3,2,1,6,4,5]=>{{1,4,5,6,7},{2,3}}=>4
[3,6,1,4,2,5,7]=>[4,3,2,6,1,5,7]=>{{1,4,5,6},{2,3},{7}}=>3
[3,6,1,4,2,7,5]=>[4,3,2,7,1,6,5]=>{{1,4,5,7},{2,3},{6}}=>4
[3,6,1,4,5,2,7]=>[4,3,2,5,6,1,7]=>{{1,4,5,6},{2,3},{7}}=>3
[3,6,1,4,5,7,2]=>[4,3,2,5,7,6,1]=>{{1,4,5,7},{2,3},{6}}=>4
[3,6,1,4,7,2,5]=>[4,3,2,7,6,5,1]=>{{1,4,7},{2,3},{5,6}}=>3
[3,6,1,4,7,5,2]=>[4,3,2,7,6,1,5]=>{{1,4,5,6,7},{2,3}}=>4
[3,6,1,5,2,4,7]=>[5,3,2,6,4,1,7]=>{{1,4,5,6},{2,3},{7}}=>3
[3,6,1,5,2,7,4]=>[5,3,2,7,4,6,1]=>{{1,4,5,7},{2,3},{6}}=>4
[3,6,1,5,4,2,7]=>[5,3,2,6,1,4,7]=>{{1,5},{2,3},{4,6},{7}}=>1
[3,6,1,5,4,7,2]=>[5,3,2,7,1,6,4]=>{{1,5},{2,3},{4,7},{6}}=>2
[3,6,1,5,7,2,4]=>[6,3,2,7,5,4,1]=>{{1,4,6,7},{2,3},{5}}=>5
[3,6,1,5,7,4,2]=>[6,3,2,7,5,1,4]=>{{1,6},{2,3},{4,7},{5}}=>3
[3,6,1,7,2,4,5]=>[7,3,2,6,4,5,1]=>{{1,7},{2,3},{4,5,6}}=>2
[3,6,1,7,2,5,4]=>[7,3,2,6,4,1,5]=>{{1,4,5,6,7},{2,3}}=>4
[3,6,1,7,4,2,5]=>[7,3,2,6,1,5,4]=>{{1,4,5,6,7},{2,3}}=>4
[3,6,1,7,4,5,2]=>[7,3,2,6,1,4,5]=>{{1,5,7},{2,3},{4,6}}=>3
[3,6,1,7,5,2,4]=>[6,3,2,5,7,4,1]=>{{1,4,5,6,7},{2,3}}=>4
[3,6,1,7,5,4,2]=>[6,3,2,5,7,1,4]=>{{1,6},{2,3},{4,5,7}}=>1
[3,6,2,1,4,5,7]=>[6,3,1,2,4,5,7]=>{{1,2,3,4,5,6},{7}}=>0
[3,6,2,1,4,7,5]=>[7,3,1,2,4,6,5]=>{{1,2,3,4,5,7},{6}}=>1
[3,6,2,1,5,4,7]=>[5,3,1,2,6,4,7]=>{{1,2,3,4,5,6},{7}}=>0
[3,6,2,1,5,7,4]=>[5,3,1,2,7,6,4]=>{{1,2,3,4,5,7},{6}}=>1
[3,6,2,1,7,4,5]=>[7,3,1,2,6,5,4]=>{{1,2,3,4,7},{5,6}}=>1
[3,6,2,1,7,5,4]=>[7,3,1,2,6,4,5]=>{{1,2,3,4,5,6,7}}=>0
[3,6,2,4,1,5,7]=>[4,3,1,6,2,5,7]=>{{1,2,3,4,5,6},{7}}=>0
[3,6,2,4,1,7,5]=>[4,3,1,7,2,6,5]=>{{1,2,3,4,5,7},{6}}=>1
[3,6,2,4,5,1,7]=>[4,3,1,5,6,2,7]=>{{1,2,3,4,5,6},{7}}=>0
[3,6,2,4,5,7,1]=>[4,3,1,5,7,6,2]=>{{1,2,3,4,5,7},{6}}=>1
[3,6,2,4,7,1,5]=>[4,3,1,7,6,5,2]=>{{1,2,3,4,7},{5,6}}=>1
[3,6,2,4,7,5,1]=>[4,3,1,7,6,2,5]=>{{1,2,3,4,5,6,7}}=>0
[3,6,2,5,1,4,7]=>[5,3,1,6,4,2,7]=>{{1,2,3,4,5,6},{7}}=>0
[3,6,2,5,1,7,4]=>[5,3,1,7,4,6,2]=>{{1,2,3,4,5,7},{6}}=>1
[3,6,2,5,4,1,7]=>[5,3,1,6,2,4,7]=>{{1,2,3,5},{4,6},{7}}=>0
[3,6,2,5,4,7,1]=>[5,3,1,7,2,6,4]=>{{1,2,3,5},{4,7},{6}}=>1
[3,6,2,5,7,1,4]=>[6,3,1,7,5,4,2]=>{{1,2,3,4,6,7},{5}}=>2
[3,6,2,5,7,4,1]=>[6,3,1,7,5,2,4]=>{{1,2,3,6},{4,7},{5}}=>2
[3,6,2,7,1,4,5]=>[7,3,1,6,4,5,2]=>{{1,2,3,7},{4,5,6}}=>1
[3,6,2,7,1,5,4]=>[7,3,1,6,4,2,5]=>{{1,2,3,4,5,6,7}}=>0
[3,6,2,7,4,1,5]=>[7,3,1,6,2,5,4]=>{{1,2,3,4,5,6,7}}=>0
[3,6,2,7,4,5,1]=>[7,3,1,6,2,4,5]=>{{1,2,3,5,7},{4,6}}=>1
[3,6,2,7,5,1,4]=>[6,3,1,5,7,4,2]=>{{1,2,3,4,5,6,7}}=>0
[3,6,2,7,5,4,1]=>[6,3,1,5,7,2,4]=>{{1,2,3,6},{4,5,7}}=>0
[3,6,4,1,2,5,7]=>[6,3,4,2,1,5,7]=>{{1,5,6},{2,3,4},{7}}=>2
[3,6,4,1,2,7,5]=>[7,3,4,2,1,6,5]=>{{1,5,7},{2,3,4},{6}}=>3
[3,6,4,1,5,2,7]=>[5,3,4,2,6,1,7]=>{{1,5,6},{2,3,4},{7}}=>2
[3,6,4,1,5,7,2]=>[5,3,4,2,7,6,1]=>{{1,5,7},{2,3,4},{6}}=>3
[3,6,4,1,7,2,5]=>[7,3,4,2,6,5,1]=>{{1,7},{2,3,4},{5,6}}=>2
[3,6,4,1,7,5,2]=>[7,3,4,2,6,1,5]=>{{1,5,6,7},{2,3,4}}=>3
[3,6,4,2,1,5,7]=>[6,3,4,1,2,5,7]=>{{1,2,3,4,5,6},{7}}=>0
[3,6,4,2,1,7,5]=>[7,3,4,1,2,6,5]=>{{1,2,3,4,5,7},{6}}=>1
[3,6,4,2,5,1,7]=>[5,3,4,1,6,2,7]=>{{1,2,3,4,5,6},{7}}=>0
[3,6,4,2,5,7,1]=>[5,3,4,1,7,6,2]=>{{1,2,3,4,5,7},{6}}=>1
[3,6,4,2,7,1,5]=>[7,3,4,1,6,5,2]=>{{1,2,3,4,7},{5,6}}=>1
[3,6,4,2,7,5,1]=>[7,3,4,1,6,2,5]=>{{1,2,3,4,5,6,7}}=>0
[3,6,4,5,1,2,7]=>[6,3,4,5,2,1,7]=>{{1,6},{2,3,4,5},{7}}=>1
[3,6,4,5,1,7,2]=>[7,3,4,5,2,6,1]=>{{1,7},{2,3,4,5},{6}}=>2
[3,6,4,5,2,1,7]=>[6,3,4,5,1,2,7]=>{{1,2,3,4,5,6},{7}}=>0
[3,6,4,5,2,7,1]=>[7,3,4,5,1,6,2]=>{{1,2,3,4,5,7},{6}}=>1
[3,6,4,5,7,1,2]=>[7,3,4,6,5,2,1]=>{{1,7},{2,3,4,6},{5}}=>3
[3,6,4,5,7,2,1]=>[7,3,4,6,5,1,2]=>{{1,2,3,4,6,7},{5}}=>2
[3,6,4,7,1,2,5]=>[7,3,6,4,2,5,1]=>{{1,7},{2,3,5,6},{4}}=>4
[3,6,4,7,1,5,2]=>[7,3,6,4,2,1,5]=>{{1,2,3,5,6,7},{4}}=>3
[3,6,4,7,2,1,5]=>[7,3,6,4,1,5,2]=>{{1,2,3,5,6,7},{4}}=>3
[3,6,4,7,2,5,1]=>[7,3,6,4,1,2,5]=>{{1,5,7},{2,3,6},{4}}=>4
[3,6,4,7,5,1,2]=>[6,3,5,4,7,2,1]=>{{1,2,3,5,6,7},{4}}=>3
[3,6,4,7,5,2,1]=>[6,3,5,4,7,1,2]=>{{1,6},{2,3,5,7},{4}}=>3
[3,6,5,1,2,4,7]=>[6,3,5,2,4,1,7]=>{{1,6},{2,3,4,5},{7}}=>1
[3,6,5,1,2,7,4]=>[7,3,5,2,4,6,1]=>{{1,7},{2,3,4,5},{6}}=>2
[3,6,5,1,4,2,7]=>[6,3,5,2,1,4,7]=>{{1,2,3,4,5,6},{7}}=>0
[3,6,5,1,4,7,2]=>[7,3,5,2,1,6,4]=>{{1,2,3,4,5,7},{6}}=>1
[3,6,5,1,7,2,4]=>[7,3,6,2,5,4,1]=>{{1,7},{2,3,4,6},{5}}=>3
[3,6,5,1,7,4,2]=>[7,3,6,2,5,1,4]=>{{1,2,3,4,6,7},{5}}=>2
[3,6,5,2,1,4,7]=>[6,3,5,1,4,2,7]=>{{1,2,3,4,5,6},{7}}=>0
[3,6,5,2,1,7,4]=>[7,3,5,1,4,6,2]=>{{1,2,3,4,5,7},{6}}=>1
[3,6,5,2,4,1,7]=>[6,3,5,1,2,4,7]=>{{1,4,6},{2,3,5},{7}}=>1
[3,6,5,2,4,7,1]=>[7,3,5,1,2,6,4]=>{{1,4,7},{2,3,5},{6}}=>2
[3,6,5,2,7,1,4]=>[7,3,6,1,5,4,2]=>{{1,2,3,4,6,7},{5}}=>2
[3,6,5,2,7,4,1]=>[7,3,6,1,5,2,4]=>{{1,4,7},{2,3,6},{5}}=>3
[3,6,5,4,1,2,7]=>[5,3,4,6,2,1,7]=>{{1,2,3,4,5,6},{7}}=>0
[3,6,5,4,1,7,2]=>[5,3,4,7,2,6,1]=>{{1,2,3,4,5,7},{6}}=>1
[3,6,5,4,2,1,7]=>[5,3,4,6,1,2,7]=>{{1,5},{2,3,4,6},{7}}=>0
[3,6,5,4,2,7,1]=>[5,3,4,7,1,6,2]=>{{1,5},{2,3,4,7},{6}}=>1
[3,6,5,4,7,1,2]=>[6,3,4,7,5,2,1]=>{{1,2,3,4,6,7},{5}}=>2
[3,6,5,4,7,2,1]=>[6,3,4,7,5,1,2]=>{{1,6},{2,3,4,7},{5}}=>2
[3,6,5,7,1,2,4]=>[7,3,6,5,4,2,1]=>{{1,7},{2,3,6},{4,5}}=>3
[3,6,5,7,1,4,2]=>[7,3,6,5,4,1,2]=>{{1,2,3,6,7},{4,5}}=>2
[3,6,5,7,2,1,4]=>[7,3,6,5,2,4,1]=>{{1,7},{2,3,4,5,6}}=>1
[3,6,5,7,2,4,1]=>[7,3,6,5,2,1,4]=>{{1,2,3,4,5,6,7}}=>0
[3,6,5,7,4,1,2]=>[7,3,6,5,1,4,2]=>{{1,2,3,4,5,6,7}}=>0
[3,6,5,7,4,2,1]=>[7,3,6,5,1,2,4]=>{{1,4,5,7},{2,3,6}}=>1
[3,6,7,1,2,4,5]=>[7,6,3,2,4,5,1]=>{{1,7},{2,4,5,6},{3}}=>5
[3,6,7,1,2,5,4]=>[7,6,3,2,4,1,5]=>{{1,2,4,5,6,7},{3}}=>4
[3,6,7,1,4,2,5]=>[7,6,3,2,1,5,4]=>{{1,2,4,5,6,7},{3}}=>4
[3,6,7,1,4,5,2]=>[7,6,3,2,1,4,5]=>{{1,5,7},{2,4,6},{3}}=>5
[3,6,7,1,5,2,4]=>[6,5,3,2,7,4,1]=>{{1,2,4,5,6,7},{3}}=>4
[3,6,7,1,5,4,2]=>[6,5,3,2,7,1,4]=>{{1,6},{2,4,5,7},{3}}=>4
[3,6,7,2,1,4,5]=>[7,6,3,1,4,5,2]=>{{1,2,4,5,6,7},{3}}=>4
[3,6,7,2,1,5,4]=>[7,6,3,1,4,2,5]=>{{1,4,5,7},{2,6},{3}}=>5
[3,6,7,2,4,1,5]=>[7,6,3,1,2,5,4]=>{{1,4,7},{2,5,6},{3}}=>5
[3,6,7,2,4,5,1]=>[7,6,3,1,2,4,5]=>{{1,2,4,5,6,7},{3}}=>4
[3,6,7,2,5,1,4]=>[6,5,3,1,7,4,2]=>{{1,4,6},{2,5,7},{3}}=>4
[3,6,7,2,5,4,1]=>[6,5,3,1,7,2,4]=>{{1,2,4,5,6,7},{3}}=>4
[3,6,7,4,1,2,5]=>[6,4,3,7,2,5,1]=>{{1,2,4,5,6,7},{3}}=>4
[3,6,7,4,1,5,2]=>[6,4,3,7,2,1,5]=>{{1,6},{2,4,5,7},{3}}=>4
[3,6,7,4,2,1,5]=>[6,4,3,7,1,5,2]=>{{1,5,6},{2,4,7},{3}}=>4
[3,6,7,4,2,5,1]=>[6,4,3,7,1,2,5]=>{{1,2,4,5,6,7},{3}}=>4
[3,6,7,4,5,1,2]=>[5,4,3,6,7,2,1]=>{{1,5,7},{2,4,6},{3}}=>5
[3,6,7,4,5,2,1]=>[5,4,3,6,7,1,2]=>{{1,2,4,5,6,7},{3}}=>4
[3,6,7,5,1,2,4]=>[6,5,3,7,4,2,1]=>{{1,2,4,5,6,7},{3}}=>4
[3,6,7,5,1,4,2]=>[6,5,3,7,4,1,2]=>{{1,6},{2,4,5,7},{3}}=>4
[3,6,7,5,2,1,4]=>[6,5,3,7,2,4,1]=>{{1,4,6,7},{2,5},{3}}=>6
[3,6,7,5,2,4,1]=>[6,5,3,7,2,1,4]=>{{1,6},{2,5},{3},{4,7}}=>3
[3,6,7,5,4,1,2]=>[6,5,3,7,1,4,2]=>{{1,2,4,5,6,7},{3}}=>4
[3,6,7,5,4,2,1]=>[6,5,3,7,1,2,4]=>{{1,2,5,6},{3},{4,7}}=>2
[3,7,1,2,4,5,6]=>[7,3,2,1,4,5,6]=>{{1,4,5,6,7},{2,3}}=>4
[3,7,1,2,4,6,5]=>[6,3,2,1,4,7,5]=>{{1,4,5,6,7},{2,3}}=>4
[3,7,1,2,5,4,6]=>[5,3,2,1,7,4,6]=>{{1,4,5,6,7},{2,3}}=>4
[3,7,1,2,5,6,4]=>[5,3,2,1,6,7,4]=>{{1,4,5,6,7},{2,3}}=>4
[3,7,1,2,6,4,5]=>[6,3,2,1,7,5,4]=>{{1,4,5,6,7},{2,3}}=>4
[3,7,1,2,6,5,4]=>[6,3,2,1,7,4,5]=>{{1,4,6},{2,3},{5,7}}=>2
[3,7,1,4,2,5,6]=>[4,3,2,7,1,5,6]=>{{1,4,5,6,7},{2,3}}=>4
[3,7,1,4,2,6,5]=>[4,3,2,6,1,7,5]=>{{1,4,5,6,7},{2,3}}=>4
[3,7,1,4,5,2,6]=>[4,3,2,5,7,1,6]=>{{1,4,5,6,7},{2,3}}=>4
[3,7,1,4,5,6,2]=>[4,3,2,5,6,7,1]=>{{1,4,5,6,7},{2,3}}=>4
[3,7,1,4,6,2,5]=>[4,3,2,6,7,5,1]=>{{1,4,5,6,7},{2,3}}=>4
[3,7,1,4,6,5,2]=>[4,3,2,6,7,1,5]=>{{1,4,6},{2,3},{5,7}}=>2
[3,7,1,5,2,4,6]=>[5,3,2,7,4,1,6]=>{{1,4,5,6,7},{2,3}}=>4
[3,7,1,5,2,6,4]=>[5,3,2,6,4,7,1]=>{{1,4,5,6,7},{2,3}}=>4
[3,7,1,5,4,2,6]=>[5,3,2,7,1,4,6]=>{{1,5},{2,3},{4,6,7}}=>1
[3,7,1,5,4,6,2]=>[5,3,2,6,1,7,4]=>{{1,5},{2,3},{4,6,7}}=>1
[3,7,1,5,6,2,4]=>[5,3,2,7,6,4,1]=>{{1,4,5,6,7},{2,3}}=>4
[3,7,1,5,6,4,2]=>[5,3,2,7,6,1,4]=>{{1,5,6},{2,3},{4,7}}=>2
[3,7,1,6,2,4,5]=>[6,3,2,7,4,5,1]=>{{1,4,5,6,7},{2,3}}=>4
[3,7,1,6,2,5,4]=>[6,3,2,7,4,1,5]=>{{1,6},{2,3},{4,5,7}}=>1
[3,7,1,6,4,2,5]=>[6,3,2,7,1,5,4]=>{{1,5,6},{2,3},{4,7}}=>2
[3,7,1,6,4,5,2]=>[6,3,2,7,1,4,5]=>{{1,4,5,6,7},{2,3}}=>4
[3,7,1,6,5,2,4]=>[5,3,2,6,7,4,1]=>{{1,5,7},{2,3},{4,6}}=>3
[3,7,1,6,5,4,2]=>[5,3,2,6,7,1,4]=>{{1,4,5,6,7},{2,3}}=>4
[3,7,2,1,4,5,6]=>[7,3,1,2,4,5,6]=>{{1,2,3,4,5,6,7}}=>0
[3,7,2,1,4,6,5]=>[6,3,1,2,4,7,5]=>{{1,2,3,4,5,6,7}}=>0
[3,7,2,1,5,4,6]=>[5,3,1,2,7,4,6]=>{{1,2,3,4,5,6,7}}=>0
[3,7,2,1,5,6,4]=>[5,3,1,2,6,7,4]=>{{1,2,3,4,5,6,7}}=>0
[3,7,2,1,6,4,5]=>[6,3,1,2,7,5,4]=>{{1,2,3,4,5,6,7}}=>0
[3,7,2,1,6,5,4]=>[6,3,1,2,7,4,5]=>{{1,2,3,4,6},{5,7}}=>0
[3,7,2,4,1,5,6]=>[4,3,1,7,2,5,6]=>{{1,2,3,4,5,6,7}}=>0
[3,7,2,4,1,6,5]=>[4,3,1,6,2,7,5]=>{{1,2,3,4,5,6,7}}=>0
[3,7,2,4,5,1,6]=>[4,3,1,5,7,2,6]=>{{1,2,3,4,5,6,7}}=>0
[3,7,2,4,5,6,1]=>[4,3,1,5,6,7,2]=>{{1,2,3,4,5,6,7}}=>0
[3,7,2,4,6,1,5]=>[4,3,1,6,7,5,2]=>{{1,2,3,4,5,6,7}}=>0
[3,7,2,4,6,5,1]=>[4,3,1,6,7,2,5]=>{{1,2,3,4,6},{5,7}}=>0
[3,7,2,5,1,4,6]=>[5,3,1,7,4,2,6]=>{{1,2,3,4,5,6,7}}=>0
[3,7,2,5,1,6,4]=>[5,3,1,6,4,7,2]=>{{1,2,3,4,5,6,7}}=>0
[3,7,2,5,4,1,6]=>[5,3,1,7,2,4,6]=>{{1,2,3,5},{4,6,7}}=>0
[3,7,2,5,4,6,1]=>[5,3,1,6,2,7,4]=>{{1,2,3,5},{4,6,7}}=>0
[3,7,2,5,6,1,4]=>[5,3,1,7,6,4,2]=>{{1,2,3,4,5,6,7}}=>0
[3,7,2,5,6,4,1]=>[5,3,1,7,6,2,4]=>{{1,2,3,5,6},{4,7}}=>0
[3,7,2,6,1,4,5]=>[6,3,1,7,4,5,2]=>{{1,2,3,4,5,6,7}}=>0
[3,7,2,6,1,5,4]=>[6,3,1,7,4,2,5]=>{{1,2,3,6},{4,5,7}}=>0
[3,7,2,6,4,1,5]=>[6,3,1,7,2,5,4]=>{{1,2,3,5,6},{4,7}}=>0
[3,7,2,6,4,5,1]=>[6,3,1,7,2,4,5]=>{{1,2,3,4,5,6,7}}=>0
[3,7,2,6,5,1,4]=>[5,3,1,6,7,4,2]=>{{1,2,3,5,7},{4,6}}=>1
[3,7,2,6,5,4,1]=>[5,3,1,6,7,2,4]=>{{1,2,3,4,5,6,7}}=>0
[3,7,4,1,2,5,6]=>[7,3,4,2,1,5,6]=>{{1,5,6,7},{2,3,4}}=>3
[3,7,4,1,2,6,5]=>[6,3,4,2,1,7,5]=>{{1,5,6,7},{2,3,4}}=>3
[3,7,4,1,5,2,6]=>[5,3,4,2,7,1,6]=>{{1,5,6,7},{2,3,4}}=>3
[3,7,4,1,5,6,2]=>[5,3,4,2,6,7,1]=>{{1,5,6,7},{2,3,4}}=>3
[3,7,4,1,6,2,5]=>[6,3,4,2,7,5,1]=>{{1,5,6,7},{2,3,4}}=>3
[3,7,4,1,6,5,2]=>[6,3,4,2,7,1,5]=>{{1,6},{2,3,4},{5,7}}=>1
[3,7,4,2,1,5,6]=>[7,3,4,1,2,5,6]=>{{1,2,3,4,5,6,7}}=>0
[3,7,4,2,1,6,5]=>[6,3,4,1,2,7,5]=>{{1,2,3,4,5,6,7}}=>0
[3,7,4,2,5,1,6]=>[5,3,4,1,7,2,6]=>{{1,2,3,4,5,6,7}}=>0
[3,7,4,2,5,6,1]=>[5,3,4,1,6,7,2]=>{{1,2,3,4,5,6,7}}=>0
[3,7,4,2,6,1,5]=>[6,3,4,1,7,5,2]=>{{1,2,3,4,5,6,7}}=>0
[3,7,4,2,6,5,1]=>[6,3,4,1,7,2,5]=>{{1,2,3,4,6},{5,7}}=>0
[3,7,4,5,1,2,6]=>[7,3,4,5,2,1,6]=>{{1,6,7},{2,3,4,5}}=>2
[3,7,4,5,1,6,2]=>[6,3,4,5,2,7,1]=>{{1,6,7},{2,3,4,5}}=>2
[3,7,4,5,2,1,6]=>[7,3,4,5,1,2,6]=>{{1,2,3,4,5,6,7}}=>0
[3,7,4,5,2,6,1]=>[6,3,4,5,1,7,2]=>{{1,2,3,4,5,6,7}}=>0
[3,7,4,5,6,1,2]=>[7,3,4,5,6,2,1]=>{{1,7},{2,3,4,5,6}}=>1
[3,7,4,5,6,2,1]=>[7,3,4,5,6,1,2]=>{{1,2,3,4,5,6,7}}=>0
[3,7,4,6,1,2,5]=>[7,3,4,6,2,5,1]=>{{1,7},{2,3,4,5,6}}=>1
[3,7,4,6,1,5,2]=>[7,3,4,6,2,1,5]=>{{1,2,3,4,5,6,7}}=>0
[3,7,4,6,2,1,5]=>[7,3,4,6,1,5,2]=>{{1,2,3,4,5,6,7}}=>0
[3,7,4,6,2,5,1]=>[7,3,4,6,1,2,5]=>{{1,5,7},{2,3,4,6}}=>1
[3,7,4,6,5,1,2]=>[6,3,4,5,7,2,1]=>{{1,2,3,4,5,6,7}}=>0
[3,7,4,6,5,2,1]=>[6,3,4,5,7,1,2]=>{{1,6},{2,3,4,5,7}}=>0
[3,7,5,1,2,4,6]=>[7,3,5,2,4,1,6]=>{{1,6,7},{2,3,4,5}}=>2
[3,7,5,1,2,6,4]=>[6,3,5,2,4,7,1]=>{{1,6,7},{2,3,4,5}}=>2
[3,7,5,1,4,2,6]=>[7,3,5,2,1,4,6]=>{{1,2,3,4,5,6,7}}=>0
[3,7,5,1,4,6,2]=>[6,3,5,2,1,7,4]=>{{1,2,3,4,5,6,7}}=>0
[3,7,5,1,6,2,4]=>[7,3,5,2,6,4,1]=>{{1,7},{2,3,4,5,6}}=>1
[3,7,5,1,6,4,2]=>[7,3,5,2,6,1,4]=>{{1,2,3,4,5,6,7}}=>0
[3,7,5,2,1,4,6]=>[7,3,5,1,4,2,6]=>{{1,2,3,4,5,6,7}}=>0
[3,7,5,2,1,6,4]=>[6,3,5,1,4,7,2]=>{{1,2,3,4,5,6,7}}=>0
[3,7,5,2,4,1,6]=>[7,3,5,1,2,4,6]=>{{1,4,6,7},{2,3,5}}=>2
[3,7,5,2,4,6,1]=>[6,3,5,1,2,7,4]=>{{1,4,6,7},{2,3,5}}=>2
[3,7,5,2,6,1,4]=>[7,3,5,1,6,4,2]=>{{1,2,3,4,5,6,7}}=>0
[3,7,5,2,6,4,1]=>[7,3,5,1,6,2,4]=>{{1,4,7},{2,3,5,6}}=>1
[3,7,5,4,1,2,6]=>[5,3,4,7,2,1,6]=>{{1,2,3,4,5,6,7}}=>0
[3,7,5,4,1,6,2]=>[5,3,4,6,2,7,1]=>{{1,2,3,4,5,6,7}}=>0
[3,7,5,4,2,1,6]=>[5,3,4,7,1,2,6]=>{{1,5},{2,3,4,6,7}}=>0
[3,7,5,4,2,6,1]=>[5,3,4,6,1,7,2]=>{{1,5},{2,3,4,6,7}}=>0
[3,7,5,4,6,1,2]=>[5,3,4,7,6,2,1]=>{{1,2,3,4,5,6,7}}=>0
[3,7,5,4,6,2,1]=>[5,3,4,7,6,1,2]=>{{1,5,6},{2,3,4,7}}=>0
[3,7,5,6,1,2,4]=>[7,3,5,6,4,2,1]=>{{1,7},{2,3,4,5,6}}=>1
[3,7,5,6,1,4,2]=>[7,3,5,6,4,1,2]=>{{1,2,3,4,5,6,7}}=>0
[3,7,5,6,2,1,4]=>[7,3,5,6,2,4,1]=>{{1,7},{2,3,5},{4,6}}=>2
[3,7,5,6,2,4,1]=>[7,3,5,6,2,1,4]=>{{1,4,6,7},{2,3,5}}=>2
[3,7,5,6,4,1,2]=>[7,3,5,6,1,4,2]=>{{1,2,3,5,7},{4,6}}=>1
[3,7,5,6,4,2,1]=>[7,3,5,6,1,2,4]=>{{1,2,3,4,5,6,7}}=>0
[3,7,6,1,2,4,5]=>[7,3,6,2,4,5,1]=>{{1,7},{2,3,4,5,6}}=>1
[3,7,6,1,2,5,4]=>[7,3,6,2,4,1,5]=>{{1,2,3,4,5,6,7}}=>0
[3,7,6,1,4,2,5]=>[7,3,6,2,1,5,4]=>{{1,2,3,4,5,6,7}}=>0
[3,7,6,1,4,5,2]=>[7,3,6,2,1,4,5]=>{{1,5,7},{2,3,4,6}}=>1
[3,7,6,1,5,2,4]=>[6,3,5,2,7,4,1]=>{{1,2,3,4,5,6,7}}=>0
[3,7,6,1,5,4,2]=>[6,3,5,2,7,1,4]=>{{1,6},{2,3,4,5,7}}=>0
[3,7,6,2,1,4,5]=>[7,3,6,1,4,5,2]=>{{1,2,3,4,5,6,7}}=>0
[3,7,6,2,1,5,4]=>[7,3,6,1,4,2,5]=>{{1,4,5,7},{2,3,6}}=>1
[3,7,6,2,4,1,5]=>[7,3,6,1,2,5,4]=>{{1,4,7},{2,3,5,6}}=>1
[3,7,6,2,4,5,1]=>[7,3,6,1,2,4,5]=>{{1,2,3,4,5,6,7}}=>0
[3,7,6,2,5,1,4]=>[6,3,5,1,7,4,2]=>{{1,4,6},{2,3,5,7}}=>0
[3,7,6,2,5,4,1]=>[6,3,5,1,7,2,4]=>{{1,2,3,4,5,6,7}}=>0
[3,7,6,4,1,2,5]=>[6,3,4,7,2,5,1]=>{{1,2,3,4,5,6,7}}=>0
[3,7,6,4,1,5,2]=>[6,3,4,7,2,1,5]=>{{1,6},{2,3,4,5,7}}=>0
[3,7,6,4,2,1,5]=>[6,3,4,7,1,5,2]=>{{1,5,6},{2,3,4,7}}=>0
[3,7,6,4,2,5,1]=>[6,3,4,7,1,2,5]=>{{1,2,3,4,5,6,7}}=>0
[3,7,6,4,5,1,2]=>[5,3,4,6,7,2,1]=>{{1,5,7},{2,3,4,6}}=>1
[3,7,6,4,5,2,1]=>[5,3,4,6,7,1,2]=>{{1,2,3,4,5,6,7}}=>0
[3,7,6,5,1,2,4]=>[6,3,5,7,4,2,1]=>{{1,2,3,4,5,6,7}}=>0
[3,7,6,5,1,4,2]=>[6,3,5,7,4,1,2]=>{{1,6},{2,3,4,5,7}}=>0
[3,7,6,5,2,1,4]=>[6,3,5,7,2,4,1]=>{{1,4,6,7},{2,3,5}}=>2
[3,7,6,5,2,4,1]=>[6,3,5,7,2,1,4]=>{{1,6},{2,3,5},{4,7}}=>1
[3,7,6,5,4,1,2]=>[6,3,5,7,1,4,2]=>{{1,2,3,4,5,6,7}}=>0
[3,7,6,5,4,2,1]=>[6,3,5,7,1,2,4]=>{{1,2,3,5,6},{4,7}}=>0
[4,1,2,3,5,6,7]=>[4,1,2,3,5,6,7]=>{{1,2,3,4},{5},{6},{7}}=>0
[4,1,2,3,5,7,6]=>[4,1,2,3,5,7,6]=>{{1,2,3,4},{5},{6,7}}=>0
[4,1,2,3,6,5,7]=>[4,1,2,3,6,5,7]=>{{1,2,3,4},{5,6},{7}}=>0
[4,1,2,3,6,7,5]=>[4,1,2,3,7,6,5]=>{{1,2,3,4},{5,7},{6}}=>1
[4,1,2,3,7,5,6]=>[4,1,2,3,7,5,6]=>{{1,2,3,4},{5,6,7}}=>0
[4,1,2,3,7,6,5]=>[4,1,2,3,6,7,5]=>{{1,2,3,4},{5,6,7}}=>0
[4,1,2,5,3,6,7]=>[5,1,2,4,3,6,7]=>{{1,2,3,5},{4},{6},{7}}=>1
[4,1,2,5,3,7,6]=>[5,1,2,4,3,7,6]=>{{1,2,3,5},{4},{6,7}}=>1
[4,1,2,5,6,3,7]=>[6,1,2,4,5,3,7]=>{{1,2,3,6},{4},{5},{7}}=>2
[4,1,2,5,6,7,3]=>[7,1,2,4,5,6,3]=>{{1,2,3,7},{4},{5},{6}}=>3
[4,1,2,5,7,3,6]=>[7,1,2,4,5,3,6]=>{{1,2,3,6,7},{4},{5}}=>4
[4,1,2,5,7,6,3]=>[6,1,2,4,5,7,3]=>{{1,2,3,6,7},{4},{5}}=>4
[4,1,2,6,3,5,7]=>[6,1,2,4,3,5,7]=>{{1,2,3,5,6},{4},{7}}=>2
[4,1,2,6,3,7,5]=>[7,1,2,4,3,6,5]=>{{1,2,3,5,7},{4},{6}}=>3
[4,1,2,6,5,3,7]=>[5,1,2,4,6,3,7]=>{{1,2,3,5,6},{4},{7}}=>2
[4,1,2,6,5,7,3]=>[5,1,2,4,7,6,3]=>{{1,2,3,5,7},{4},{6}}=>3
[4,1,2,6,7,3,5]=>[7,1,2,4,6,5,3]=>{{1,2,3,7},{4},{5,6}}=>2
[4,1,2,6,7,5,3]=>[7,1,2,4,6,3,5]=>{{1,2,3,5,6,7},{4}}=>3
[4,1,2,7,3,5,6]=>[7,1,2,4,3,5,6]=>{{1,2,3,5,6,7},{4}}=>3
[4,1,2,7,3,6,5]=>[6,1,2,4,3,7,5]=>{{1,2,3,5,6,7},{4}}=>3
[4,1,2,7,5,3,6]=>[5,1,2,4,7,3,6]=>{{1,2,3,5,6,7},{4}}=>3
[4,1,2,7,5,6,3]=>[5,1,2,4,6,7,3]=>{{1,2,3,5,6,7},{4}}=>3
[4,1,2,7,6,3,5]=>[6,1,2,4,7,5,3]=>{{1,2,3,5,6,7},{4}}=>3
[4,1,2,7,6,5,3]=>[6,1,2,4,7,3,5]=>{{1,2,3,6},{4},{5,7}}=>1
[4,1,3,2,5,6,7]=>[3,1,4,2,5,6,7]=>{{1,2,3,4},{5},{6},{7}}=>0
[4,1,3,2,5,7,6]=>[3,1,4,2,5,7,6]=>{{1,2,3,4},{5},{6,7}}=>0
[4,1,3,2,6,5,7]=>[3,1,4,2,6,5,7]=>{{1,2,3,4},{5,6},{7}}=>0
[4,1,3,2,6,7,5]=>[3,1,4,2,7,6,5]=>{{1,2,3,4},{5,7},{6}}=>1
[4,1,3,2,7,5,6]=>[3,1,4,2,7,5,6]=>{{1,2,3,4},{5,6,7}}=>0
[4,1,3,2,7,6,5]=>[3,1,4,2,6,7,5]=>{{1,2,3,4},{5,6,7}}=>0
[4,1,3,5,2,6,7]=>[3,1,5,4,2,6,7]=>{{1,2,3,5},{4},{6},{7}}=>1
[4,1,3,5,2,7,6]=>[3,1,5,4,2,7,6]=>{{1,2,3,5},{4},{6,7}}=>1
[4,1,3,5,6,2,7]=>[3,1,6,4,5,2,7]=>{{1,2,3,6},{4},{5},{7}}=>2
[4,1,3,5,6,7,2]=>[3,1,7,4,5,6,2]=>{{1,2,3,7},{4},{5},{6}}=>3
[4,1,3,5,7,2,6]=>[3,1,7,4,5,2,6]=>{{1,2,3,6,7},{4},{5}}=>4
[4,1,3,5,7,6,2]=>[3,1,6,4,5,7,2]=>{{1,2,3,6,7},{4},{5}}=>4
[4,1,3,6,2,5,7]=>[3,1,6,4,2,5,7]=>{{1,2,3,5,6},{4},{7}}=>2
[4,1,3,6,2,7,5]=>[3,1,7,4,2,6,5]=>{{1,2,3,5,7},{4},{6}}=>3
[4,1,3,6,5,2,7]=>[3,1,5,4,6,2,7]=>{{1,2,3,5,6},{4},{7}}=>2
[4,1,3,6,5,7,2]=>[3,1,5,4,7,6,2]=>{{1,2,3,5,7},{4},{6}}=>3
[4,1,3,6,7,2,5]=>[3,1,7,4,6,5,2]=>{{1,2,3,7},{4},{5,6}}=>2
[4,1,3,6,7,5,2]=>[3,1,7,4,6,2,5]=>{{1,2,3,5,6,7},{4}}=>3
[4,1,3,7,2,5,6]=>[3,1,7,4,2,5,6]=>{{1,2,3,5,6,7},{4}}=>3
[4,1,3,7,2,6,5]=>[3,1,6,4,2,7,5]=>{{1,2,3,5,6,7},{4}}=>3
[4,1,3,7,5,2,6]=>[3,1,5,4,7,2,6]=>{{1,2,3,5,6,7},{4}}=>3
[4,1,3,7,5,6,2]=>[3,1,5,4,6,7,2]=>{{1,2,3,5,6,7},{4}}=>3
[4,1,3,7,6,2,5]=>[3,1,6,4,7,5,2]=>{{1,2,3,5,6,7},{4}}=>3
[4,1,3,7,6,5,2]=>[3,1,6,4,7,2,5]=>{{1,2,3,6},{4},{5,7}}=>1
[4,1,5,2,3,6,7]=>[5,1,4,3,2,6,7]=>{{1,2,5},{3,4},{6},{7}}=>1
[4,1,5,2,3,7,6]=>[5,1,4,3,2,7,6]=>{{1,2,5},{3,4},{6,7}}=>1
[4,1,5,2,6,3,7]=>[6,1,4,3,5,2,7]=>{{1,2,6},{3,4},{5},{7}}=>2
[4,1,5,2,6,7,3]=>[7,1,4,3,5,6,2]=>{{1,2,7},{3,4},{5},{6}}=>3
[4,1,5,2,7,3,6]=>[7,1,4,3,5,2,6]=>{{1,2,6,7},{3,4},{5}}=>4
[4,1,5,2,7,6,3]=>[6,1,4,3,5,7,2]=>{{1,2,6,7},{3,4},{5}}=>4
[4,1,5,3,2,6,7]=>[5,1,4,2,3,6,7]=>{{1,2,3,4,5},{6},{7}}=>0
[4,1,5,3,2,7,6]=>[5,1,4,2,3,7,6]=>{{1,2,3,4,5},{6,7}}=>0
[4,1,5,3,6,2,7]=>[6,1,4,2,5,3,7]=>{{1,2,3,4,6},{5},{7}}=>1
[4,1,5,3,6,7,2]=>[7,1,4,2,5,6,3]=>{{1,2,3,4,7},{5},{6}}=>2
[4,1,5,3,7,2,6]=>[7,1,4,2,5,3,6]=>{{1,2,3,4,6,7},{5}}=>2
[4,1,5,3,7,6,2]=>[6,1,4,2,5,7,3]=>{{1,2,3,4,6,7},{5}}=>2
[4,1,5,6,2,3,7]=>[6,1,5,4,3,2,7]=>{{1,2,6},{3,5},{4},{7}}=>3
[4,1,5,6,2,7,3]=>[7,1,5,4,3,6,2]=>{{1,2,7},{3,5},{4},{6}}=>4
[4,1,5,6,3,2,7]=>[6,1,5,4,2,3,7]=>{{1,2,3,5,6},{4},{7}}=>2
[4,1,5,6,3,7,2]=>[7,1,5,4,2,6,3]=>{{1,2,3,5,7},{4},{6}}=>3
[4,1,5,6,7,2,3]=>[7,1,6,4,5,3,2]=>{{1,2,7},{3,6},{4},{5}}=>5
[4,1,5,6,7,3,2]=>[7,1,6,4,5,2,3]=>{{1,2,3,6,7},{4},{5}}=>4
[4,1,5,7,2,3,6]=>[7,1,5,4,3,2,6]=>{{1,2,6,7},{3,5},{4}}=>5
[4,1,5,7,2,6,3]=>[6,1,5,4,3,7,2]=>{{1,2,6,7},{3,5},{4}}=>5
[4,1,5,7,3,2,6]=>[7,1,5,4,2,3,6]=>{{1,2,3,5,6,7},{4}}=>3
[4,1,5,7,3,6,2]=>[6,1,5,4,2,7,3]=>{{1,2,3,5,6,7},{4}}=>3
[4,1,5,7,6,2,3]=>[7,1,5,4,6,3,2]=>{{1,2,7},{3,5,6},{4}}=>4
[4,1,5,7,6,3,2]=>[7,1,5,4,6,2,3]=>{{1,2,3,5,6,7},{4}}=>3
[4,1,6,2,3,5,7]=>[6,1,4,3,2,5,7]=>{{1,2,5,6},{3,4},{7}}=>2
[4,1,6,2,3,7,5]=>[7,1,4,3,2,6,5]=>{{1,2,5,7},{3,4},{6}}=>3
[4,1,6,2,5,3,7]=>[5,1,4,3,6,2,7]=>{{1,2,5,6},{3,4},{7}}=>2
[4,1,6,2,5,7,3]=>[5,1,4,3,7,6,2]=>{{1,2,5,7},{3,4},{6}}=>3
[4,1,6,2,7,3,5]=>[7,1,4,3,6,5,2]=>{{1,2,7},{3,4},{5,6}}=>2
[4,1,6,2,7,5,3]=>[7,1,4,3,6,2,5]=>{{1,2,5,6,7},{3,4}}=>3
[4,1,6,3,2,5,7]=>[6,1,4,2,3,5,7]=>{{1,2,3,4,5,6},{7}}=>0
[4,1,6,3,2,7,5]=>[7,1,4,2,3,6,5]=>{{1,2,3,4,5,7},{6}}=>1
[4,1,6,3,5,2,7]=>[5,1,4,2,6,3,7]=>{{1,2,3,4,5,6},{7}}=>0
[4,1,6,3,5,7,2]=>[5,1,4,2,7,6,3]=>{{1,2,3,4,5,7},{6}}=>1
[4,1,6,3,7,2,5]=>[7,1,4,2,6,5,3]=>{{1,2,3,4,7},{5,6}}=>1
[4,1,6,3,7,5,2]=>[7,1,4,2,6,3,5]=>{{1,2,3,4,5,6,7}}=>0
[4,1,6,5,2,3,7]=>[6,1,4,5,3,2,7]=>{{1,2,6},{3,4,5},{7}}=>1
[4,1,6,5,2,7,3]=>[7,1,4,5,3,6,2]=>{{1,2,7},{3,4,5},{6}}=>2
[4,1,6,5,3,2,7]=>[6,1,4,5,2,3,7]=>{{1,2,3,4,5,6},{7}}=>0
[4,1,6,5,3,7,2]=>[7,1,4,5,2,6,3]=>{{1,2,3,4,5,7},{6}}=>1
[4,1,6,5,7,2,3]=>[7,1,4,6,5,3,2]=>{{1,2,7},{3,4,6},{5}}=>3
[4,1,6,5,7,3,2]=>[7,1,4,6,5,2,3]=>{{1,2,3,4,6,7},{5}}=>2
[4,1,6,7,2,3,5]=>[7,1,6,4,3,5,2]=>{{1,2,7},{3,5,6},{4}}=>4
[4,1,6,7,2,5,3]=>[7,1,6,4,3,2,5]=>{{1,2,3,5,6,7},{4}}=>3
[4,1,6,7,3,2,5]=>[7,1,6,4,2,5,3]=>{{1,2,3,5,6,7},{4}}=>3
[4,1,6,7,3,5,2]=>[7,1,6,4,2,3,5]=>{{1,2,5,7},{3,6},{4}}=>4
[4,1,6,7,5,2,3]=>[6,1,5,4,7,3,2]=>{{1,2,3,5,6,7},{4}}=>3
[4,1,6,7,5,3,2]=>[6,1,5,4,7,2,3]=>{{1,2,6},{3,5,7},{4}}=>3
[4,1,7,2,3,5,6]=>[7,1,4,3,2,5,6]=>{{1,2,5,6,7},{3,4}}=>3
[4,1,7,2,3,6,5]=>[6,1,4,3,2,7,5]=>{{1,2,5,6,7},{3,4}}=>3
[4,1,7,2,5,3,6]=>[5,1,4,3,7,2,6]=>{{1,2,5,6,7},{3,4}}=>3
[4,1,7,2,5,6,3]=>[5,1,4,3,6,7,2]=>{{1,2,5,6,7},{3,4}}=>3
[4,1,7,2,6,3,5]=>[6,1,4,3,7,5,2]=>{{1,2,5,6,7},{3,4}}=>3
[4,1,7,2,6,5,3]=>[6,1,4,3,7,2,5]=>{{1,2,6},{3,4},{5,7}}=>1
[4,1,7,3,2,5,6]=>[7,1,4,2,3,5,6]=>{{1,2,3,4,5,6,7}}=>0
[4,1,7,3,2,6,5]=>[6,1,4,2,3,7,5]=>{{1,2,3,4,5,6,7}}=>0
[4,1,7,3,5,2,6]=>[5,1,4,2,7,3,6]=>{{1,2,3,4,5,6,7}}=>0
[4,1,7,3,5,6,2]=>[5,1,4,2,6,7,3]=>{{1,2,3,4,5,6,7}}=>0
[4,1,7,3,6,2,5]=>[6,1,4,2,7,5,3]=>{{1,2,3,4,5,6,7}}=>0
[4,1,7,3,6,5,2]=>[6,1,4,2,7,3,5]=>{{1,2,3,4,6},{5,7}}=>0
[4,1,7,5,2,3,6]=>[7,1,4,5,3,2,6]=>{{1,2,6,7},{3,4,5}}=>2
[4,1,7,5,2,6,3]=>[6,1,4,5,3,7,2]=>{{1,2,6,7},{3,4,5}}=>2
[4,1,7,5,3,2,6]=>[7,1,4,5,2,3,6]=>{{1,2,3,4,5,6,7}}=>0
[4,1,7,5,3,6,2]=>[6,1,4,5,2,7,3]=>{{1,2,3,4,5,6,7}}=>0
[4,1,7,5,6,2,3]=>[7,1,4,5,6,3,2]=>{{1,2,7},{3,4,5,6}}=>1
[4,1,7,5,6,3,2]=>[7,1,4,5,6,2,3]=>{{1,2,3,4,5,6,7}}=>0
[4,1,7,6,2,3,5]=>[7,1,4,6,3,5,2]=>{{1,2,7},{3,4,5,6}}=>1
[4,1,7,6,2,5,3]=>[7,1,4,6,3,2,5]=>{{1,2,3,4,5,6,7}}=>0
[4,1,7,6,3,2,5]=>[7,1,4,6,2,5,3]=>{{1,2,3,4,5,6,7}}=>0
[4,1,7,6,3,5,2]=>[7,1,4,6,2,3,5]=>{{1,2,5,7},{3,4,6}}=>1
[4,1,7,6,5,2,3]=>[6,1,4,5,7,3,2]=>{{1,2,3,4,5,6,7}}=>0
[4,1,7,6,5,3,2]=>[6,1,4,5,7,2,3]=>{{1,2,6},{3,4,5,7}}=>0
[4,2,1,3,5,6,7]=>[2,4,1,3,5,6,7]=>{{1,2,3,4},{5},{6},{7}}=>0
[4,2,1,3,5,7,6]=>[2,4,1,3,5,7,6]=>{{1,2,3,4},{5},{6,7}}=>0
[4,2,1,3,6,5,7]=>[2,4,1,3,6,5,7]=>{{1,2,3,4},{5,6},{7}}=>0
[4,2,1,3,6,7,5]=>[2,4,1,3,7,6,5]=>{{1,2,3,4},{5,7},{6}}=>1
[4,2,1,3,7,5,6]=>[2,4,1,3,7,5,6]=>{{1,2,3,4},{5,6,7}}=>0
[4,2,1,3,7,6,5]=>[2,4,1,3,6,7,5]=>{{1,2,3,4},{5,6,7}}=>0
[4,2,1,5,3,6,7]=>[2,5,1,4,3,6,7]=>{{1,2,3,5},{4},{6},{7}}=>1
[4,2,1,5,3,7,6]=>[2,5,1,4,3,7,6]=>{{1,2,3,5},{4},{6,7}}=>1
[4,2,1,5,6,3,7]=>[2,6,1,4,5,3,7]=>{{1,2,3,6},{4},{5},{7}}=>2
[4,2,1,5,6,7,3]=>[2,7,1,4,5,6,3]=>{{1,2,3,7},{4},{5},{6}}=>3
[4,2,1,5,7,3,6]=>[2,7,1,4,5,3,6]=>{{1,2,3,6,7},{4},{5}}=>4
[4,2,1,5,7,6,3]=>[2,6,1,4,5,7,3]=>{{1,2,3,6,7},{4},{5}}=>4
[4,2,1,6,3,5,7]=>[2,6,1,4,3,5,7]=>{{1,2,3,5,6},{4},{7}}=>2
[4,2,1,6,3,7,5]=>[2,7,1,4,3,6,5]=>{{1,2,3,5,7},{4},{6}}=>3
[4,2,1,6,5,3,7]=>[2,5,1,4,6,3,7]=>{{1,2,3,5,6},{4},{7}}=>2
[4,2,1,6,5,7,3]=>[2,5,1,4,7,6,3]=>{{1,2,3,5,7},{4},{6}}=>3
[4,2,1,6,7,3,5]=>[2,7,1,4,6,5,3]=>{{1,2,3,7},{4},{5,6}}=>2
[4,2,1,6,7,5,3]=>[2,7,1,4,6,3,5]=>{{1,2,3,5,6,7},{4}}=>3
[4,2,1,7,3,5,6]=>[2,7,1,4,3,5,6]=>{{1,2,3,5,6,7},{4}}=>3
[4,2,1,7,3,6,5]=>[2,6,1,4,3,7,5]=>{{1,2,3,5,6,7},{4}}=>3
[4,2,1,7,5,3,6]=>[2,5,1,4,7,3,6]=>{{1,2,3,5,6,7},{4}}=>3
[4,2,1,7,5,6,3]=>[2,5,1,4,6,7,3]=>{{1,2,3,5,6,7},{4}}=>3
[4,2,1,7,6,3,5]=>[2,6,1,4,7,5,3]=>{{1,2,3,5,6,7},{4}}=>3
[4,2,1,7,6,5,3]=>[2,6,1,4,7,3,5]=>{{1,2,3,6},{4},{5,7}}=>1
[4,2,3,1,5,6,7]=>[2,3,4,1,5,6,7]=>{{1,2,3,4},{5},{6},{7}}=>0
[4,2,3,1,5,7,6]=>[2,3,4,1,5,7,6]=>{{1,2,3,4},{5},{6,7}}=>0
[4,2,3,1,6,5,7]=>[2,3,4,1,6,5,7]=>{{1,2,3,4},{5,6},{7}}=>0
[4,2,3,1,6,7,5]=>[2,3,4,1,7,6,5]=>{{1,2,3,4},{5,7},{6}}=>1
[4,2,3,1,7,5,6]=>[2,3,4,1,7,5,6]=>{{1,2,3,4},{5,6,7}}=>0
[4,2,3,1,7,6,5]=>[2,3,4,1,6,7,5]=>{{1,2,3,4},{5,6,7}}=>0
[4,2,3,5,1,6,7]=>[2,3,5,4,1,6,7]=>{{1,2,3,5},{4},{6},{7}}=>1
[4,2,3,5,1,7,6]=>[2,3,5,4,1,7,6]=>{{1,2,3,5},{4},{6,7}}=>1
[4,2,3,5,6,1,7]=>[2,3,6,4,5,1,7]=>{{1,2,3,6},{4},{5},{7}}=>2
[4,2,3,5,6,7,1]=>[2,3,7,4,5,6,1]=>{{1,2,3,7},{4},{5},{6}}=>3
[4,2,3,5,7,1,6]=>[2,3,7,4,5,1,6]=>{{1,2,3,6,7},{4},{5}}=>4
[4,2,3,5,7,6,1]=>[2,3,6,4,5,7,1]=>{{1,2,3,6,7},{4},{5}}=>4
[4,2,3,6,1,5,7]=>[2,3,6,4,1,5,7]=>{{1,2,3,5,6},{4},{7}}=>2
[4,2,3,6,1,7,5]=>[2,3,7,4,1,6,5]=>{{1,2,3,5,7},{4},{6}}=>3
[4,2,3,6,5,1,7]=>[2,3,5,4,6,1,7]=>{{1,2,3,5,6},{4},{7}}=>2
[4,2,3,6,5,7,1]=>[2,3,5,4,7,6,1]=>{{1,2,3,5,7},{4},{6}}=>3
[4,2,3,6,7,1,5]=>[2,3,7,4,6,5,1]=>{{1,2,3,7},{4},{5,6}}=>2
[4,2,3,6,7,5,1]=>[2,3,7,4,6,1,5]=>{{1,2,3,5,6,7},{4}}=>3
[4,2,3,7,1,5,6]=>[2,3,7,4,1,5,6]=>{{1,2,3,5,6,7},{4}}=>3
[4,2,3,7,1,6,5]=>[2,3,6,4,1,7,5]=>{{1,2,3,5,6,7},{4}}=>3
[4,2,3,7,5,1,6]=>[2,3,5,4,7,1,6]=>{{1,2,3,5,6,7},{4}}=>3
[4,2,3,7,5,6,1]=>[2,3,5,4,6,7,1]=>{{1,2,3,5,6,7},{4}}=>3
[4,2,3,7,6,1,5]=>[2,3,6,4,7,5,1]=>{{1,2,3,5,6,7},{4}}=>3
[4,2,3,7,6,5,1]=>[2,3,6,4,7,1,5]=>{{1,2,3,6},{4},{5,7}}=>1
[4,2,5,1,3,6,7]=>[2,5,4,3,1,6,7]=>{{1,2,5},{3,4},{6},{7}}=>1
[4,2,5,1,3,7,6]=>[2,5,4,3,1,7,6]=>{{1,2,5},{3,4},{6,7}}=>1
[4,2,5,1,6,3,7]=>[2,6,4,3,5,1,7]=>{{1,2,6},{3,4},{5},{7}}=>2
[4,2,5,1,6,7,3]=>[2,7,4,3,5,6,1]=>{{1,2,7},{3,4},{5},{6}}=>3
[4,2,5,1,7,3,6]=>[2,7,4,3,5,1,6]=>{{1,2,6,7},{3,4},{5}}=>4
[4,2,5,1,7,6,3]=>[2,6,4,3,5,7,1]=>{{1,2,6,7},{3,4},{5}}=>4
[4,2,5,3,1,6,7]=>[2,5,4,1,3,6,7]=>{{1,2,3,4,5},{6},{7}}=>0
[4,2,5,3,1,7,6]=>[2,5,4,1,3,7,6]=>{{1,2,3,4,5},{6,7}}=>0
[4,2,5,3,6,1,7]=>[2,6,4,1,5,3,7]=>{{1,2,3,4,6},{5},{7}}=>1
[4,2,5,3,6,7,1]=>[2,7,4,1,5,6,3]=>{{1,2,3,4,7},{5},{6}}=>2
[4,2,5,3,7,1,6]=>[2,7,4,1,5,3,6]=>{{1,2,3,4,6,7},{5}}=>2
[4,2,5,3,7,6,1]=>[2,6,4,1,5,7,3]=>{{1,2,3,4,6,7},{5}}=>2
[4,2,5,6,1,3,7]=>[2,6,5,4,3,1,7]=>{{1,2,6},{3,5},{4},{7}}=>3
[4,2,5,6,1,7,3]=>[2,7,5,4,3,6,1]=>{{1,2,7},{3,5},{4},{6}}=>4
[4,2,5,6,3,1,7]=>[2,6,5,4,1,3,7]=>{{1,2,3,5,6},{4},{7}}=>2
[4,2,5,6,3,7,1]=>[2,7,5,4,1,6,3]=>{{1,2,3,5,7},{4},{6}}=>3
[4,2,5,6,7,1,3]=>[2,7,6,4,5,3,1]=>{{1,2,7},{3,6},{4},{5}}=>5
[4,2,5,6,7,3,1]=>[2,7,6,4,5,1,3]=>{{1,2,3,6,7},{4},{5}}=>4
[4,2,5,7,1,3,6]=>[2,7,5,4,3,1,6]=>{{1,2,6,7},{3,5},{4}}=>5
[4,2,5,7,1,6,3]=>[2,6,5,4,3,7,1]=>{{1,2,6,7},{3,5},{4}}=>5
[4,2,5,7,3,1,6]=>[2,7,5,4,1,3,6]=>{{1,2,3,5,6,7},{4}}=>3
[4,2,5,7,3,6,1]=>[2,6,5,4,1,7,3]=>{{1,2,3,5,6,7},{4}}=>3
[4,2,5,7,6,1,3]=>[2,7,5,4,6,3,1]=>{{1,2,7},{3,5,6},{4}}=>4
[4,2,5,7,6,3,1]=>[2,7,5,4,6,1,3]=>{{1,2,3,5,6,7},{4}}=>3
[4,2,6,1,3,5,7]=>[2,6,4,3,1,5,7]=>{{1,2,5,6},{3,4},{7}}=>2
[4,2,6,1,3,7,5]=>[2,7,4,3,1,6,5]=>{{1,2,5,7},{3,4},{6}}=>3
[4,2,6,1,5,3,7]=>[2,5,4,3,6,1,7]=>{{1,2,5,6},{3,4},{7}}=>2
[4,2,6,1,5,7,3]=>[2,5,4,3,7,6,1]=>{{1,2,5,7},{3,4},{6}}=>3
[4,2,6,1,7,3,5]=>[2,7,4,3,6,5,1]=>{{1,2,7},{3,4},{5,6}}=>2
[4,2,6,1,7,5,3]=>[2,7,4,3,6,1,5]=>{{1,2,5,6,7},{3,4}}=>3
[4,2,6,3,1,5,7]=>[2,6,4,1,3,5,7]=>{{1,2,3,4,5,6},{7}}=>0
[4,2,6,3,1,7,5]=>[2,7,4,1,3,6,5]=>{{1,2,3,4,5,7},{6}}=>1
[4,2,6,3,5,1,7]=>[2,5,4,1,6,3,7]=>{{1,2,3,4,5,6},{7}}=>0
[4,2,6,3,5,7,1]=>[2,5,4,1,7,6,3]=>{{1,2,3,4,5,7},{6}}=>1
[4,2,6,3,7,1,5]=>[2,7,4,1,6,5,3]=>{{1,2,3,4,7},{5,6}}=>1
[4,2,6,3,7,5,1]=>[2,7,4,1,6,3,5]=>{{1,2,3,4,5,6,7}}=>0
[4,2,6,5,1,3,7]=>[2,6,4,5,3,1,7]=>{{1,2,6},{3,4,5},{7}}=>1
[4,2,6,5,1,7,3]=>[2,7,4,5,3,6,1]=>{{1,2,7},{3,4,5},{6}}=>2
[4,2,6,5,3,1,7]=>[2,6,4,5,1,3,7]=>{{1,2,3,4,5,6},{7}}=>0
[4,2,6,5,3,7,1]=>[2,7,4,5,1,6,3]=>{{1,2,3,4,5,7},{6}}=>1
[4,2,6,5,7,1,3]=>[2,7,4,6,5,3,1]=>{{1,2,7},{3,4,6},{5}}=>3
[4,2,6,5,7,3,1]=>[2,7,4,6,5,1,3]=>{{1,2,3,4,6,7},{5}}=>2
[4,2,6,7,1,3,5]=>[2,7,6,4,3,5,1]=>{{1,2,7},{3,5,6},{4}}=>4
[4,2,6,7,1,5,3]=>[2,7,6,4,3,1,5]=>{{1,2,3,5,6,7},{4}}=>3
[4,2,6,7,3,1,5]=>[2,7,6,4,1,5,3]=>{{1,2,3,5,6,7},{4}}=>3
[4,2,6,7,3,5,1]=>[2,7,6,4,1,3,5]=>{{1,2,5,7},{3,6},{4}}=>4
[4,2,6,7,5,1,3]=>[2,6,5,4,7,3,1]=>{{1,2,3,5,6,7},{4}}=>3
[4,2,6,7,5,3,1]=>[2,6,5,4,7,1,3]=>{{1,2,6},{3,5,7},{4}}=>3
[4,2,7,1,3,5,6]=>[2,7,4,3,1,5,6]=>{{1,2,5,6,7},{3,4}}=>3
[4,2,7,1,3,6,5]=>[2,6,4,3,1,7,5]=>{{1,2,5,6,7},{3,4}}=>3
[4,2,7,1,5,3,6]=>[2,5,4,3,7,1,6]=>{{1,2,5,6,7},{3,4}}=>3
[4,2,7,1,5,6,3]=>[2,5,4,3,6,7,1]=>{{1,2,5,6,7},{3,4}}=>3
[4,2,7,1,6,3,5]=>[2,6,4,3,7,5,1]=>{{1,2,5,6,7},{3,4}}=>3
[4,2,7,1,6,5,3]=>[2,6,4,3,7,1,5]=>{{1,2,6},{3,4},{5,7}}=>1
[4,2,7,3,1,5,6]=>[2,7,4,1,3,5,6]=>{{1,2,3,4,5,6,7}}=>0
[4,2,7,3,1,6,5]=>[2,6,4,1,3,7,5]=>{{1,2,3,4,5,6,7}}=>0
[4,2,7,3,5,1,6]=>[2,5,4,1,7,3,6]=>{{1,2,3,4,5,6,7}}=>0
[4,2,7,3,5,6,1]=>[2,5,4,1,6,7,3]=>{{1,2,3,4,5,6,7}}=>0
[4,2,7,3,6,1,5]=>[2,6,4,1,7,5,3]=>{{1,2,3,4,5,6,7}}=>0
[4,2,7,3,6,5,1]=>[2,6,4,1,7,3,5]=>{{1,2,3,4,6},{5,7}}=>0
[4,2,7,5,1,3,6]=>[2,7,4,5,3,1,6]=>{{1,2,6,7},{3,4,5}}=>2
[4,2,7,5,1,6,3]=>[2,6,4,5,3,7,1]=>{{1,2,6,7},{3,4,5}}=>2
[4,2,7,5,3,1,6]=>[2,7,4,5,1,3,6]=>{{1,2,3,4,5,6,7}}=>0
[4,2,7,5,3,6,1]=>[2,6,4,5,1,7,3]=>{{1,2,3,4,5,6,7}}=>0
[4,2,7,5,6,1,3]=>[2,7,4,5,6,3,1]=>{{1,2,7},{3,4,5,6}}=>1
[4,2,7,5,6,3,1]=>[2,7,4,5,6,1,3]=>{{1,2,3,4,5,6,7}}=>0
[4,2,7,6,1,3,5]=>[2,7,4,6,3,5,1]=>{{1,2,7},{3,4,5,6}}=>1
[4,2,7,6,1,5,3]=>[2,7,4,6,3,1,5]=>{{1,2,3,4,5,6,7}}=>0
[4,2,7,6,3,1,5]=>[2,7,4,6,1,5,3]=>{{1,2,3,4,5,6,7}}=>0
[4,2,7,6,3,5,1]=>[2,7,4,6,1,3,5]=>{{1,2,5,7},{3,4,6}}=>1
[4,2,7,6,5,1,3]=>[2,6,4,5,7,3,1]=>{{1,2,3,4,5,6,7}}=>0
[4,2,7,6,5,3,1]=>[2,6,4,5,7,1,3]=>{{1,2,6},{3,4,5,7}}=>0
[4,3,1,2,5,6,7]=>[3,4,2,1,5,6,7]=>{{1,2,3,4},{5},{6},{7}}=>0
[4,3,1,2,5,7,6]=>[3,4,2,1,5,7,6]=>{{1,2,3,4},{5},{6,7}}=>0
[4,3,1,2,6,5,7]=>[3,4,2,1,6,5,7]=>{{1,2,3,4},{5,6},{7}}=>0
[4,3,1,2,6,7,5]=>[3,4,2,1,7,6,5]=>{{1,2,3,4},{5,7},{6}}=>1
[4,3,1,2,7,5,6]=>[3,4,2,1,7,5,6]=>{{1,2,3,4},{5,6,7}}=>0
[4,3,1,2,7,6,5]=>[3,4,2,1,6,7,5]=>{{1,2,3,4},{5,6,7}}=>0
[4,3,1,5,2,6,7]=>[3,5,2,4,1,6,7]=>{{1,2,3,5},{4},{6},{7}}=>1
[4,3,1,5,2,7,6]=>[3,5,2,4,1,7,6]=>{{1,2,3,5},{4},{6,7}}=>1
[4,3,1,5,6,2,7]=>[3,6,2,4,5,1,7]=>{{1,2,3,6},{4},{5},{7}}=>2
[4,3,1,5,6,7,2]=>[3,7,2,4,5,6,1]=>{{1,2,3,7},{4},{5},{6}}=>3
[4,3,1,5,7,2,6]=>[3,7,2,4,5,1,6]=>{{1,2,3,6,7},{4},{5}}=>4
[4,3,1,5,7,6,2]=>[3,6,2,4,5,7,1]=>{{1,2,3,6,7},{4},{5}}=>4
[4,3,1,6,2,5,7]=>[3,6,2,4,1,5,7]=>{{1,2,3,5,6},{4},{7}}=>2
[4,3,1,6,2,7,5]=>[3,7,2,4,1,6,5]=>{{1,2,3,5,7},{4},{6}}=>3
[4,3,1,6,5,2,7]=>[3,5,2,4,6,1,7]=>{{1,2,3,5,6},{4},{7}}=>2
[4,3,1,6,5,7,2]=>[3,5,2,4,7,6,1]=>{{1,2,3,5,7},{4},{6}}=>3
[4,3,1,6,7,2,5]=>[3,7,2,4,6,5,1]=>{{1,2,3,7},{4},{5,6}}=>2
[4,3,1,6,7,5,2]=>[3,7,2,4,6,1,5]=>{{1,2,3,5,6,7},{4}}=>3
[4,3,1,7,2,5,6]=>[3,7,2,4,1,5,6]=>{{1,2,3,5,6,7},{4}}=>3
[4,3,1,7,2,6,5]=>[3,6,2,4,1,7,5]=>{{1,2,3,5,6,7},{4}}=>3
[4,3,1,7,5,2,6]=>[3,5,2,4,7,1,6]=>{{1,2,3,5,6,7},{4}}=>3
[4,3,1,7,5,6,2]=>[3,5,2,4,6,7,1]=>{{1,2,3,5,6,7},{4}}=>3
[4,3,1,7,6,2,5]=>[3,6,2,4,7,5,1]=>{{1,2,3,5,6,7},{4}}=>3
[4,3,1,7,6,5,2]=>[3,6,2,4,7,1,5]=>{{1,2,3,6},{4},{5,7}}=>1
[4,3,2,1,5,6,7]=>[3,4,1,2,5,6,7]=>{{1,3},{2,4},{5},{6},{7}}=>0
[4,3,2,1,5,7,6]=>[3,4,1,2,5,7,6]=>{{1,3},{2,4},{5},{6,7}}=>0
[4,3,2,1,6,5,7]=>[3,4,1,2,6,5,7]=>{{1,3},{2,4},{5,6},{7}}=>0
[4,3,2,1,6,7,5]=>[3,4,1,2,7,6,5]=>{{1,3},{2,4},{5,7},{6}}=>1
[4,3,2,1,7,5,6]=>[3,4,1,2,7,5,6]=>{{1,3},{2,4},{5,6,7}}=>0
[4,3,2,1,7,6,5]=>[3,4,1,2,6,7,5]=>{{1,3},{2,4},{5,6,7}}=>0
[4,3,2,5,1,6,7]=>[3,5,1,4,2,6,7]=>{{1,3},{2,5},{4},{6},{7}}=>1
[4,3,2,5,1,7,6]=>[3,5,1,4,2,7,6]=>{{1,3},{2,5},{4},{6,7}}=>1
[4,3,2,5,6,1,7]=>[3,6,1,4,5,2,7]=>{{1,3},{2,6},{4},{5},{7}}=>2
[4,3,2,5,6,7,1]=>[3,7,1,4,5,6,2]=>{{1,3},{2,7},{4},{5},{6}}=>3
[4,3,2,5,7,1,6]=>[3,7,1,4,5,2,6]=>{{1,3},{2,6,7},{4},{5}}=>4
[4,3,2,5,7,6,1]=>[3,6,1,4,5,7,2]=>{{1,3},{2,6,7},{4},{5}}=>4
[4,3,2,6,1,5,7]=>[3,6,1,4,2,5,7]=>{{1,3},{2,5,6},{4},{7}}=>2
[4,3,2,6,1,7,5]=>[3,7,1,4,2,6,5]=>{{1,3},{2,5,7},{4},{6}}=>3
[4,3,2,6,5,1,7]=>[3,5,1,4,6,2,7]=>{{1,3},{2,5,6},{4},{7}}=>2
[4,3,2,6,5,7,1]=>[3,5,1,4,7,6,2]=>{{1,3},{2,5,7},{4},{6}}=>3
[4,3,2,6,7,1,5]=>[3,7,1,4,6,5,2]=>{{1,3},{2,7},{4},{5,6}}=>2
[4,3,2,6,7,5,1]=>[3,7,1,4,6,2,5]=>{{1,3},{2,5,6,7},{4}}=>3
[4,3,2,7,1,5,6]=>[3,7,1,4,2,5,6]=>{{1,3},{2,5,6,7},{4}}=>3
[4,3,2,7,1,6,5]=>[3,6,1,4,2,7,5]=>{{1,3},{2,5,6,7},{4}}=>3
[4,3,2,7,5,1,6]=>[3,5,1,4,7,2,6]=>{{1,3},{2,5,6,7},{4}}=>3
[4,3,2,7,5,6,1]=>[3,5,1,4,6,7,2]=>{{1,3},{2,5,6,7},{4}}=>3
[4,3,2,7,6,1,5]=>[3,6,1,4,7,5,2]=>{{1,3},{2,5,6,7},{4}}=>3
[4,3,2,7,6,5,1]=>[3,6,1,4,7,2,5]=>{{1,3},{2,6},{4},{5,7}}=>1
[4,3,5,1,2,6,7]=>[4,5,3,2,1,6,7]=>{{1,2,4,5},{3},{6},{7}}=>2
[4,3,5,1,2,7,6]=>[4,5,3,2,1,7,6]=>{{1,2,4,5},{3},{6,7}}=>2
[4,3,5,1,6,2,7]=>[4,6,3,2,5,1,7]=>{{1,2,4,6},{3},{5},{7}}=>3
[4,3,5,1,6,7,2]=>[4,7,3,2,5,6,1]=>{{1,2,4,7},{3},{5},{6}}=>4
[4,3,5,1,7,2,6]=>[4,7,3,2,5,1,6]=>{{1,2,4,6,7},{3},{5}}=>5
[4,3,5,1,7,6,2]=>[4,6,3,2,5,7,1]=>{{1,2,4,6,7},{3},{5}}=>5
[4,3,5,2,1,6,7]=>[4,5,3,1,2,6,7]=>{{1,4},{2,5},{3},{6},{7}}=>2
[4,3,5,2,1,7,6]=>[4,5,3,1,2,7,6]=>{{1,4},{2,5},{3},{6,7}}=>2
[4,3,5,2,6,1,7]=>[4,6,3,1,5,2,7]=>{{1,4},{2,6},{3},{5},{7}}=>3
[4,3,5,2,6,7,1]=>[4,7,3,1,5,6,2]=>{{1,4},{2,7},{3},{5},{6}}=>4
[4,3,5,2,7,1,6]=>[4,7,3,1,5,2,6]=>{{1,4},{2,6,7},{3},{5}}=>5
[4,3,5,2,7,6,1]=>[4,6,3,1,5,7,2]=>{{1,4},{2,6,7},{3},{5}}=>5
[4,3,5,6,1,2,7]=>[5,6,3,4,2,1,7]=>{{1,2,5,6},{3},{4},{7}}=>4
[4,3,5,6,1,7,2]=>[5,7,3,4,2,6,1]=>{{1,2,5,7},{3},{4},{6}}=>5
[4,3,5,6,2,1,7]=>[5,6,3,4,1,2,7]=>{{1,5},{2,6},{3},{4},{7}}=>4
[4,3,5,6,2,7,1]=>[5,7,3,4,1,6,2]=>{{1,5},{2,7},{3},{4},{6}}=>5
[4,3,5,6,7,1,2]=>[6,7,3,4,5,2,1]=>{{1,2,6,7},{3},{4},{5}}=>6
[4,3,5,6,7,2,1]=>[6,7,3,4,5,1,2]=>{{1,6},{2,7},{3},{4},{5}}=>6
[4,3,5,7,1,2,6]=>[5,7,3,4,2,1,6]=>{{1,2,5,6,7},{3},{4}}=>6
[4,3,5,7,1,6,2]=>[5,6,3,4,2,7,1]=>{{1,2,5,6,7},{3},{4}}=>6
[4,3,5,7,2,1,6]=>[5,7,3,4,1,2,6]=>{{1,5},{2,6,7},{3},{4}}=>6
[4,3,5,7,2,6,1]=>[5,6,3,4,1,7,2]=>{{1,5},{2,6,7},{3},{4}}=>6
[4,3,5,7,6,1,2]=>[5,7,3,4,6,2,1]=>{{1,2,5,6,7},{3},{4}}=>6
[4,3,5,7,6,2,1]=>[5,7,3,4,6,1,2]=>{{1,5,6},{2,7},{3},{4}}=>6
[4,3,6,1,2,5,7]=>[4,6,3,2,1,5,7]=>{{1,2,4,5,6},{3},{7}}=>3
[4,3,6,1,2,7,5]=>[4,7,3,2,1,6,5]=>{{1,2,4,5,7},{3},{6}}=>4
[4,3,6,1,5,2,7]=>[4,5,3,2,6,1,7]=>{{1,2,4,5,6},{3},{7}}=>3
[4,3,6,1,5,7,2]=>[4,5,3,2,7,6,1]=>{{1,2,4,5,7},{3},{6}}=>4
[4,3,6,1,7,2,5]=>[4,7,3,2,6,5,1]=>{{1,2,4,7},{3},{5,6}}=>3
[4,3,6,1,7,5,2]=>[4,7,3,2,6,1,5]=>{{1,2,4,5,6,7},{3}}=>4
[4,3,6,2,1,5,7]=>[4,6,3,1,2,5,7]=>{{1,4},{2,5,6},{3},{7}}=>3
[4,3,6,2,1,7,5]=>[4,7,3,1,2,6,5]=>{{1,4},{2,5,7},{3},{6}}=>4
[4,3,6,2,5,1,7]=>[4,5,3,1,6,2,7]=>{{1,4},{2,5,6},{3},{7}}=>3
[4,3,6,2,5,7,1]=>[4,5,3,1,7,6,2]=>{{1,4},{2,5,7},{3},{6}}=>4
[4,3,6,2,7,1,5]=>[4,7,3,1,6,5,2]=>{{1,4},{2,7},{3},{5,6}}=>3
[4,3,6,2,7,5,1]=>[4,7,3,1,6,2,5]=>{{1,4},{2,5,6,7},{3}}=>4
[4,3,6,5,1,2,7]=>[4,6,3,5,2,1,7]=>{{1,2,4,5,6},{3},{7}}=>3
[4,3,6,5,1,7,2]=>[4,7,3,5,2,6,1]=>{{1,2,4,5,7},{3},{6}}=>4
[4,3,6,5,2,1,7]=>[4,6,3,5,1,2,7]=>{{1,4,5},{2,6},{3},{7}}=>3
[4,3,6,5,2,7,1]=>[4,7,3,5,1,6,2]=>{{1,4,5},{2,7},{3},{6}}=>4
[4,3,6,5,7,1,2]=>[4,7,3,6,5,2,1]=>{{1,2,4,6,7},{3},{5}}=>5
[4,3,6,5,7,2,1]=>[4,7,3,6,5,1,2]=>{{1,4,6},{2,7},{3},{5}}=>5
[4,3,6,7,1,2,5]=>[6,7,3,4,2,5,1]=>{{1,2,5,6,7},{3},{4}}=>6
[4,3,6,7,1,5,2]=>[6,7,3,4,2,1,5]=>{{1,6},{2,5,7},{3},{4}}=>6
[4,3,6,7,2,1,5]=>[6,7,3,4,1,5,2]=>{{1,5,6},{2,7},{3},{4}}=>6
[4,3,6,7,2,5,1]=>[6,7,3,4,1,2,5]=>{{1,2,5,6,7},{3},{4}}=>6
[4,3,6,7,5,1,2]=>[5,6,3,4,7,2,1]=>{{1,5,7},{2,6},{3},{4}}=>7
[4,3,6,7,5,2,1]=>[5,6,3,4,7,1,2]=>{{1,2,5,6,7},{3},{4}}=>6
[4,3,7,1,2,5,6]=>[4,7,3,2,1,5,6]=>{{1,2,4,5,6,7},{3}}=>4
[4,3,7,1,2,6,5]=>[4,6,3,2,1,7,5]=>{{1,2,4,5,6,7},{3}}=>4
[4,3,7,1,5,2,6]=>[4,5,3,2,7,1,6]=>{{1,2,4,5,6,7},{3}}=>4
[4,3,7,1,5,6,2]=>[4,5,3,2,6,7,1]=>{{1,2,4,5,6,7},{3}}=>4
[4,3,7,1,6,2,5]=>[4,6,3,2,7,5,1]=>{{1,2,4,5,6,7},{3}}=>4
[4,3,7,1,6,5,2]=>[4,6,3,2,7,1,5]=>{{1,2,4,6},{3},{5,7}}=>2
[4,3,7,2,1,5,6]=>[4,7,3,1,2,5,6]=>{{1,4},{2,5,6,7},{3}}=>4
[4,3,7,2,1,6,5]=>[4,6,3,1,2,7,5]=>{{1,4},{2,5,6,7},{3}}=>4
[4,3,7,2,5,1,6]=>[4,5,3,1,7,2,6]=>{{1,4},{2,5,6,7},{3}}=>4
[4,3,7,2,5,6,1]=>[4,5,3,1,6,7,2]=>{{1,4},{2,5,6,7},{3}}=>4
[4,3,7,2,6,1,5]=>[4,6,3,1,7,5,2]=>{{1,4},{2,5,6,7},{3}}=>4
[4,3,7,2,6,5,1]=>[4,6,3,1,7,2,5]=>{{1,4},{2,6},{3},{5,7}}=>2
[4,3,7,5,1,2,6]=>[4,7,3,5,2,1,6]=>{{1,2,4,5,6,7},{3}}=>4
[4,3,7,5,1,6,2]=>[4,6,3,5,2,7,1]=>{{1,2,4,5,6,7},{3}}=>4
[4,3,7,5,2,1,6]=>[4,7,3,5,1,2,6]=>{{1,4,5},{2,6,7},{3}}=>4
[4,3,7,5,2,6,1]=>[4,6,3,5,1,7,2]=>{{1,4,5},{2,6,7},{3}}=>4
[4,3,7,5,6,1,2]=>[4,7,3,5,6,2,1]=>{{1,2,4,5,6,7},{3}}=>4
[4,3,7,5,6,2,1]=>[4,7,3,5,6,1,2]=>{{1,4,5,6},{2,7},{3}}=>4
[4,3,7,6,1,2,5]=>[4,7,3,6,2,5,1]=>{{1,2,4,5,6,7},{3}}=>4
[4,3,7,6,1,5,2]=>[4,7,3,6,2,1,5]=>{{1,4,6},{2,5,7},{3}}=>4
[4,3,7,6,2,1,5]=>[4,7,3,6,1,5,2]=>{{1,4,5,6},{2,7},{3}}=>4
[4,3,7,6,2,5,1]=>[4,7,3,6,1,2,5]=>{{1,2,4,5,6,7},{3}}=>4
[4,3,7,6,5,1,2]=>[4,6,3,5,7,2,1]=>{{1,4,5,7},{2,6},{3}}=>5
[4,3,7,6,5,2,1]=>[4,6,3,5,7,1,2]=>{{1,2,4,5,6,7},{3}}=>4
[4,5,1,2,3,6,7]=>[5,4,2,3,1,6,7]=>{{1,5},{2,3,4},{6},{7}}=>1
[4,5,1,2,3,7,6]=>[5,4,2,3,1,7,6]=>{{1,5},{2,3,4},{6,7}}=>1
[4,5,1,2,6,3,7]=>[6,4,2,3,5,1,7]=>{{1,6},{2,3,4},{5},{7}}=>2
[4,5,1,2,6,7,3]=>[7,4,2,3,5,6,1]=>{{1,7},{2,3,4},{5},{6}}=>3
[4,5,1,2,7,3,6]=>[7,4,2,3,5,1,6]=>{{1,6,7},{2,3,4},{5}}=>4
[4,5,1,2,7,6,3]=>[6,4,2,3,5,7,1]=>{{1,6,7},{2,3,4},{5}}=>4
[4,5,1,3,2,6,7]=>[5,4,2,1,3,6,7]=>{{1,2,3,4,5},{6},{7}}=>0
[4,5,1,3,2,7,6]=>[5,4,2,1,3,7,6]=>{{1,2,3,4,5},{6,7}}=>0
[4,5,1,3,6,2,7]=>[6,4,2,1,5,3,7]=>{{1,2,3,4,6},{5},{7}}=>1
[4,5,1,3,6,7,2]=>[7,4,2,1,5,6,3]=>{{1,2,3,4,7},{5},{6}}=>2
[4,5,1,3,7,2,6]=>[7,4,2,1,5,3,6]=>{{1,2,3,4,6,7},{5}}=>2
[4,5,1,3,7,6,2]=>[6,4,2,1,5,7,3]=>{{1,2,3,4,6,7},{5}}=>2
[4,5,1,6,2,3,7]=>[6,5,2,4,3,1,7]=>{{1,6},{2,3,5},{4},{7}}=>3
[4,5,1,6,2,7,3]=>[7,5,2,4,3,6,1]=>{{1,7},{2,3,5},{4},{6}}=>4
[4,5,1,6,3,2,7]=>[6,5,2,4,1,3,7]=>{{1,2,3,5,6},{4},{7}}=>2
[4,5,1,6,3,7,2]=>[7,5,2,4,1,6,3]=>{{1,2,3,5,7},{4},{6}}=>3
[4,5,1,6,7,2,3]=>[7,6,2,4,5,3,1]=>{{1,7},{2,3,6},{4},{5}}=>5
[4,5,1,6,7,3,2]=>[7,6,2,4,5,1,3]=>{{1,2,3,6,7},{4},{5}}=>4
[4,5,1,7,2,3,6]=>[7,5,2,4,3,1,6]=>{{1,6,7},{2,3,5},{4}}=>5
[4,5,1,7,2,6,3]=>[6,5,2,4,3,7,1]=>{{1,6,7},{2,3,5},{4}}=>5
[4,5,1,7,3,2,6]=>[7,5,2,4,1,3,6]=>{{1,2,3,5,6,7},{4}}=>3
[4,5,1,7,3,6,2]=>[6,5,2,4,1,7,3]=>{{1,2,3,5,6,7},{4}}=>3
[4,5,1,7,6,2,3]=>[7,5,2,4,6,3,1]=>{{1,7},{2,3,5,6},{4}}=>4
[4,5,1,7,6,3,2]=>[7,5,2,4,6,1,3]=>{{1,2,3,5,6,7},{4}}=>3
[4,5,2,1,3,6,7]=>[5,4,1,3,2,6,7]=>{{1,2,3,4,5},{6},{7}}=>0
[4,5,2,1,3,7,6]=>[5,4,1,3,2,7,6]=>{{1,2,3,4,5},{6,7}}=>0
[4,5,2,1,6,3,7]=>[6,4,1,3,5,2,7]=>{{1,2,3,4,6},{5},{7}}=>1
[4,5,2,1,6,7,3]=>[7,4,1,3,5,6,2]=>{{1,2,3,4,7},{5},{6}}=>2
[4,5,2,1,7,3,6]=>[7,4,1,3,5,2,6]=>{{1,2,3,4,6,7},{5}}=>2
[4,5,2,1,7,6,3]=>[6,4,1,3,5,7,2]=>{{1,2,3,4,6,7},{5}}=>2
[4,5,2,3,1,6,7]=>[5,4,1,2,3,6,7]=>{{1,3,5},{2,4},{6},{7}}=>1
[4,5,2,3,1,7,6]=>[5,4,1,2,3,7,6]=>{{1,3,5},{2,4},{6,7}}=>1
[4,5,2,3,6,1,7]=>[6,4,1,2,5,3,7]=>{{1,3,6},{2,4},{5},{7}}=>2
[4,5,2,3,6,7,1]=>[7,4,1,2,5,6,3]=>{{1,3,7},{2,4},{5},{6}}=>3
[4,5,2,3,7,1,6]=>[7,4,1,2,5,3,6]=>{{1,3,6,7},{2,4},{5}}=>4
[4,5,2,3,7,6,1]=>[6,4,1,2,5,7,3]=>{{1,3,6,7},{2,4},{5}}=>4
[4,5,2,6,1,3,7]=>[6,5,1,4,3,2,7]=>{{1,2,3,5,6},{4},{7}}=>2
[4,5,2,6,1,7,3]=>[7,5,1,4,3,6,2]=>{{1,2,3,5,7},{4},{6}}=>3
[4,5,2,6,3,1,7]=>[6,5,1,4,2,3,7]=>{{1,3,6},{2,5},{4},{7}}=>3
[4,5,2,6,3,7,1]=>[7,5,1,4,2,6,3]=>{{1,3,7},{2,5},{4},{6}}=>4
[4,5,2,6,7,1,3]=>[7,6,1,4,5,3,2]=>{{1,2,3,6,7},{4},{5}}=>4
[4,5,2,6,7,3,1]=>[7,6,1,4,5,2,3]=>{{1,3,7},{2,6},{4},{5}}=>5
[4,5,2,7,1,3,6]=>[7,5,1,4,3,2,6]=>{{1,2,3,5,6,7},{4}}=>3
[4,5,2,7,1,6,3]=>[6,5,1,4,3,7,2]=>{{1,2,3,5,6,7},{4}}=>3
[4,5,2,7,3,1,6]=>[7,5,1,4,2,3,6]=>{{1,3,6,7},{2,5},{4}}=>5
[4,5,2,7,3,6,1]=>[6,5,1,4,2,7,3]=>{{1,3,6,7},{2,5},{4}}=>5
[4,5,2,7,6,1,3]=>[7,5,1,4,6,3,2]=>{{1,2,3,5,6,7},{4}}=>3
[4,5,2,7,6,3,1]=>[7,5,1,4,6,2,3]=>{{1,3,7},{2,5,6},{4}}=>4
[4,5,3,1,2,6,7]=>[4,3,5,2,1,6,7]=>{{1,2,3,4,5},{6},{7}}=>0
[4,5,3,1,2,7,6]=>[4,3,5,2,1,7,6]=>{{1,2,3,4,5},{6,7}}=>0
[4,5,3,1,6,2,7]=>[4,3,6,2,5,1,7]=>{{1,2,3,4,6},{5},{7}}=>1
[4,5,3,1,6,7,2]=>[4,3,7,2,5,6,1]=>{{1,2,3,4,7},{5},{6}}=>2
[4,5,3,1,7,2,6]=>[4,3,7,2,5,1,6]=>{{1,2,3,4,6,7},{5}}=>2
[4,5,3,1,7,6,2]=>[4,3,6,2,5,7,1]=>{{1,2,3,4,6,7},{5}}=>2
[4,5,3,2,1,6,7]=>[4,3,5,1,2,6,7]=>{{1,4},{2,3,5},{6},{7}}=>0
[4,5,3,2,1,7,6]=>[4,3,5,1,2,7,6]=>{{1,4},{2,3,5},{6,7}}=>0
[4,5,3,2,6,1,7]=>[4,3,6,1,5,2,7]=>{{1,4},{2,3,6},{5},{7}}=>1
[4,5,3,2,6,7,1]=>[4,3,7,1,5,6,2]=>{{1,4},{2,3,7},{5},{6}}=>2
[4,5,3,2,7,1,6]=>[4,3,7,1,5,2,6]=>{{1,4},{2,3,6,7},{5}}=>2
[4,5,3,2,7,6,1]=>[4,3,6,1,5,7,2]=>{{1,4},{2,3,6,7},{5}}=>2
[4,5,3,6,1,2,7]=>[5,3,6,4,2,1,7]=>{{1,2,3,5,6},{4},{7}}=>2
[4,5,3,6,1,7,2]=>[5,3,7,4,2,6,1]=>{{1,2,3,5,7},{4},{6}}=>3
[4,5,3,6,2,1,7]=>[5,3,6,4,1,2,7]=>{{1,5},{2,3,6},{4},{7}}=>2
[4,5,3,6,2,7,1]=>[5,3,7,4,1,6,2]=>{{1,5},{2,3,7},{4},{6}}=>3
[4,5,3,6,7,1,2]=>[6,3,7,4,5,2,1]=>{{1,2,3,6,7},{4},{5}}=>4
[4,5,3,6,7,2,1]=>[6,3,7,4,5,1,2]=>{{1,6},{2,3,7},{4},{5}}=>4
[4,5,3,7,1,2,6]=>[5,3,7,4,2,1,6]=>{{1,2,3,5,6,7},{4}}=>3
[4,5,3,7,1,6,2]=>[5,3,6,4,2,7,1]=>{{1,2,3,5,6,7},{4}}=>3
[4,5,3,7,2,1,6]=>[5,3,7,4,1,2,6]=>{{1,5},{2,3,6,7},{4}}=>3
[4,5,3,7,2,6,1]=>[5,3,6,4,1,7,2]=>{{1,5},{2,3,6,7},{4}}=>3
[4,5,3,7,6,1,2]=>[5,3,7,4,6,2,1]=>{{1,2,3,5,6,7},{4}}=>3
[4,5,3,7,6,2,1]=>[5,3,7,4,6,1,2]=>{{1,5,6},{2,3,7},{4}}=>3
[4,5,6,1,2,3,7]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>3
[4,5,6,1,2,7,3]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>4
[4,5,6,1,3,2,7]=>[6,5,4,3,1,2,7]=>{{1,2,5,6},{3,4},{7}}=>2
[4,5,6,1,3,7,2]=>[7,5,4,3,1,6,2]=>{{1,2,5,7},{3,4},{6}}=>3
[4,5,6,1,7,2,3]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>5
[4,5,6,1,7,3,2]=>[7,6,4,3,5,1,2]=>{{1,2,6,7},{3,4},{5}}=>4
[4,5,6,2,1,3,7]=>[6,5,4,2,3,1,7]=>{{1,6},{2,3,4,5},{7}}=>1
[4,5,6,2,1,7,3]=>[7,5,4,2,3,6,1]=>{{1,7},{2,3,4,5},{6}}=>2
[4,5,6,2,3,1,7]=>[6,5,4,2,1,3,7]=>{{1,2,3,4,5,6},{7}}=>0
[4,5,6,2,3,7,1]=>[7,5,4,2,1,6,3]=>{{1,2,3,4,5,7},{6}}=>1
[4,5,6,2,7,1,3]=>[7,6,4,2,5,3,1]=>{{1,7},{2,3,4,6},{5}}=>3
[4,5,6,2,7,3,1]=>[7,6,4,2,5,1,3]=>{{1,2,3,4,6,7},{5}}=>2
[4,5,6,3,1,2,7]=>[6,5,4,1,3,2,7]=>{{1,2,3,4,5,6},{7}}=>0
[4,5,6,3,1,7,2]=>[7,5,4,1,3,6,2]=>{{1,2,3,4,5,7},{6}}=>1
[4,5,6,3,2,1,7]=>[6,5,4,1,2,3,7]=>{{1,3,4,6},{2,5},{7}}=>1
[4,5,6,3,2,7,1]=>[7,5,4,1,2,6,3]=>{{1,3,4,7},{2,5},{6}}=>2
[4,5,6,3,7,1,2]=>[7,6,4,1,5,3,2]=>{{1,2,3,4,6,7},{5}}=>2
[4,5,6,3,7,2,1]=>[7,6,4,1,5,2,3]=>{{1,3,4,7},{2,6},{5}}=>3
[4,5,6,7,1,2,3]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>6
[4,5,6,7,1,3,2]=>[7,6,5,4,3,1,2]=>{{1,2,6,7},{3,5},{4}}=>5
[4,5,6,7,2,1,3]=>[7,6,5,4,2,3,1]=>{{1,7},{2,3,5,6},{4}}=>4
[4,5,6,7,2,3,1]=>[7,6,5,4,2,1,3]=>{{1,2,3,5,6,7},{4}}=>3
[4,5,6,7,3,1,2]=>[7,6,5,4,1,3,2]=>{{1,2,3,5,6,7},{4}}=>3
[4,5,6,7,3,2,1]=>[7,6,5,4,1,2,3]=>{{1,3,5,7},{2,6},{4}}=>4
[4,5,7,1,2,3,6]=>[7,5,4,3,2,1,6]=>{{1,6,7},{2,5},{3,4}}=>5
[4,5,7,1,2,6,3]=>[6,5,4,3,2,7,1]=>{{1,6,7},{2,5},{3,4}}=>5
[4,5,7,1,3,2,6]=>[7,5,4,3,1,2,6]=>{{1,2,5,6,7},{3,4}}=>3
[4,5,7,1,3,6,2]=>[6,5,4,3,1,7,2]=>{{1,2,5,6,7},{3,4}}=>3
[4,5,7,1,6,2,3]=>[7,5,4,3,6,2,1]=>{{1,7},{2,5,6},{3,4}}=>4
[4,5,7,1,6,3,2]=>[7,5,4,3,6,1,2]=>{{1,2,5,6,7},{3,4}}=>3
[4,5,7,2,1,3,6]=>[7,5,4,2,3,1,6]=>{{1,6,7},{2,3,4,5}}=>2
[4,5,7,2,1,6,3]=>[6,5,4,2,3,7,1]=>{{1,6,7},{2,3,4,5}}=>2
[4,5,7,2,3,1,6]=>[7,5,4,2,1,3,6]=>{{1,2,3,4,5,6,7}}=>0
[4,5,7,2,3,6,1]=>[6,5,4,2,1,7,3]=>{{1,2,3,4,5,6,7}}=>0
[4,5,7,2,6,1,3]=>[7,5,4,2,6,3,1]=>{{1,7},{2,3,4,5,6}}=>1
[4,5,7,2,6,3,1]=>[7,5,4,2,6,1,3]=>{{1,2,3,4,5,6,7}}=>0
[4,5,7,3,1,2,6]=>[7,5,4,1,3,2,6]=>{{1,2,3,4,5,6,7}}=>0
[4,5,7,3,1,6,2]=>[6,5,4,1,3,7,2]=>{{1,2,3,4,5,6,7}}=>0
[4,5,7,3,2,1,6]=>[7,5,4,1,2,3,6]=>{{1,3,4,6,7},{2,5}}=>2
[4,5,7,3,2,6,1]=>[6,5,4,1,2,7,3]=>{{1,3,4,6,7},{2,5}}=>2
[4,5,7,3,6,1,2]=>[7,5,4,1,6,3,2]=>{{1,2,3,4,5,6,7}}=>0
[4,5,7,3,6,2,1]=>[7,5,4,1,6,2,3]=>{{1,3,4,7},{2,5,6}}=>1
[4,5,7,6,1,2,3]=>[7,6,4,5,3,2,1]=>{{1,7},{2,6},{3,4,5}}=>3
[4,5,7,6,1,3,2]=>[7,6,4,5,3,1,2]=>{{1,2,6,7},{3,4,5}}=>2
[4,5,7,6,2,1,3]=>[7,6,4,5,2,3,1]=>{{1,7},{2,3,4,5,6}}=>1
[4,5,7,6,2,3,1]=>[7,6,4,5,2,1,3]=>{{1,2,3,4,5,6,7}}=>0
[4,5,7,6,3,1,2]=>[7,6,4,5,1,3,2]=>{{1,2,3,4,5,6,7}}=>0
[4,5,7,6,3,2,1]=>[7,6,4,5,1,2,3]=>{{1,3,4,5,7},{2,6}}=>1
[4,6,1,2,3,5,7]=>[6,4,2,3,1,5,7]=>{{1,5,6},{2,3,4},{7}}=>2
[4,6,1,2,3,7,5]=>[7,4,2,3,1,6,5]=>{{1,5,7},{2,3,4},{6}}=>3
[4,6,1,2,5,3,7]=>[5,4,2,3,6,1,7]=>{{1,5,6},{2,3,4},{7}}=>2
[4,6,1,2,5,7,3]=>[5,4,2,3,7,6,1]=>{{1,5,7},{2,3,4},{6}}=>3
[4,6,1,2,7,3,5]=>[7,4,2,3,6,5,1]=>{{1,7},{2,3,4},{5,6}}=>2
[4,6,1,2,7,5,3]=>[7,4,2,3,6,1,5]=>{{1,5,6,7},{2,3,4}}=>3
[4,6,1,3,2,5,7]=>[6,4,2,1,3,5,7]=>{{1,2,3,4,5,6},{7}}=>0
[4,6,1,3,2,7,5]=>[7,4,2,1,3,6,5]=>{{1,2,3,4,5,7},{6}}=>1
[4,6,1,3,5,2,7]=>[5,4,2,1,6,3,7]=>{{1,2,3,4,5,6},{7}}=>0
[4,6,1,3,5,7,2]=>[5,4,2,1,7,6,3]=>{{1,2,3,4,5,7},{6}}=>1
[4,6,1,3,7,2,5]=>[7,4,2,1,6,5,3]=>{{1,2,3,4,7},{5,6}}=>1
[4,6,1,3,7,5,2]=>[7,4,2,1,6,3,5]=>{{1,2,3,4,5,6,7}}=>0
[4,6,1,5,2,3,7]=>[6,4,2,5,3,1,7]=>{{1,6},{2,3,4,5},{7}}=>1
[4,6,1,5,2,7,3]=>[7,4,2,5,3,6,1]=>{{1,7},{2,3,4,5},{6}}=>2
[4,6,1,5,3,2,7]=>[6,4,2,5,1,3,7]=>{{1,2,3,4,5,6},{7}}=>0
[4,6,1,5,3,7,2]=>[7,4,2,5,1,6,3]=>{{1,2,3,4,5,7},{6}}=>1
[4,6,1,5,7,2,3]=>[7,4,2,6,5,3,1]=>{{1,7},{2,3,4,6},{5}}=>3
[4,6,1,5,7,3,2]=>[7,4,2,6,5,1,3]=>{{1,2,3,4,6,7},{5}}=>2
[4,6,1,7,2,3,5]=>[7,6,2,4,3,5,1]=>{{1,7},{2,3,5,6},{4}}=>4
[4,6,1,7,2,5,3]=>[7,6,2,4,3,1,5]=>{{1,2,3,5,6,7},{4}}=>3
[4,6,1,7,3,2,5]=>[7,6,2,4,1,5,3]=>{{1,2,3,5,6,7},{4}}=>3
[4,6,1,7,3,5,2]=>[7,6,2,4,1,3,5]=>{{1,5,7},{2,3,6},{4}}=>4
[4,6,1,7,5,2,3]=>[6,5,2,4,7,3,1]=>{{1,2,3,5,6,7},{4}}=>3
[4,6,1,7,5,3,2]=>[6,5,2,4,7,1,3]=>{{1,6},{2,3,5,7},{4}}=>3
[4,6,2,1,3,5,7]=>[6,4,1,3,2,5,7]=>{{1,2,3,4,5,6},{7}}=>0
[4,6,2,1,3,7,5]=>[7,4,1,3,2,6,5]=>{{1,2,3,4,5,7},{6}}=>1
[4,6,2,1,5,3,7]=>[5,4,1,3,6,2,7]=>{{1,2,3,4,5,6},{7}}=>0
[4,6,2,1,5,7,3]=>[5,4,1,3,7,6,2]=>{{1,2,3,4,5,7},{6}}=>1
[4,6,2,1,7,3,5]=>[7,4,1,3,6,5,2]=>{{1,2,3,4,7},{5,6}}=>1
[4,6,2,1,7,5,3]=>[7,4,1,3,6,2,5]=>{{1,2,3,4,5,6,7}}=>0
[4,6,2,3,1,5,7]=>[6,4,1,2,3,5,7]=>{{1,3,5,6},{2,4},{7}}=>2
[4,6,2,3,1,7,5]=>[7,4,1,2,3,6,5]=>{{1,3,5,7},{2,4},{6}}=>3
[4,6,2,3,5,1,7]=>[5,4,1,2,6,3,7]=>{{1,3,5,6},{2,4},{7}}=>2
[4,6,2,3,5,7,1]=>[5,4,1,2,7,6,3]=>{{1,3,5,7},{2,4},{6}}=>3
[4,6,2,3,7,1,5]=>[7,4,1,2,6,5,3]=>{{1,3,7},{2,4},{5,6}}=>2
[4,6,2,3,7,5,1]=>[7,4,1,2,6,3,5]=>{{1,3,5,6,7},{2,4}}=>3
[4,6,2,5,1,3,7]=>[6,4,1,5,3,2,7]=>{{1,2,3,4,5,6},{7}}=>0
[4,6,2,5,1,7,3]=>[7,4,1,5,3,6,2]=>{{1,2,3,4,5,7},{6}}=>1
[4,6,2,5,3,1,7]=>[6,4,1,5,2,3,7]=>{{1,3,6},{2,4,5},{7}}=>1
[4,6,2,5,3,7,1]=>[7,4,1,5,2,6,3]=>{{1,3,7},{2,4,5},{6}}=>2
[4,6,2,5,7,1,3]=>[7,4,1,6,5,3,2]=>{{1,2,3,4,6,7},{5}}=>2
[4,6,2,5,7,3,1]=>[7,4,1,6,5,2,3]=>{{1,3,7},{2,4,6},{5}}=>3
[4,6,2,7,1,3,5]=>[7,6,1,4,3,5,2]=>{{1,2,3,5,6,7},{4}}=>3
[4,6,2,7,1,5,3]=>[7,6,1,4,3,2,5]=>{{1,3,5,7},{2,6},{4}}=>4
[4,6,2,7,3,1,5]=>[7,6,1,4,2,5,3]=>{{1,3,7},{2,5,6},{4}}=>4
[4,6,2,7,3,5,1]=>[7,6,1,4,2,3,5]=>{{1,2,3,5,6,7},{4}}=>3
[4,6,2,7,5,1,3]=>[6,5,1,4,7,3,2]=>{{1,3,6},{2,5,7},{4}}=>3
[4,6,2,7,5,3,1]=>[6,5,1,4,7,2,3]=>{{1,2,3,5,6,7},{4}}=>3
[4,6,3,1,2,5,7]=>[4,3,6,2,1,5,7]=>{{1,2,3,4,5,6},{7}}=>0
[4,6,3,1,2,7,5]=>[4,3,7,2,1,6,5]=>{{1,2,3,4,5,7},{6}}=>1
[4,6,3,1,5,2,7]=>[4,3,5,2,6,1,7]=>{{1,2,3,4,5,6},{7}}=>0
[4,6,3,1,5,7,2]=>[4,3,5,2,7,6,1]=>{{1,2,3,4,5,7},{6}}=>1
[4,6,3,1,7,2,5]=>[4,3,7,2,6,5,1]=>{{1,2,3,4,7},{5,6}}=>1
[4,6,3,1,7,5,2]=>[4,3,7,2,6,1,5]=>{{1,2,3,4,5,6,7}}=>0
[4,6,3,2,1,5,7]=>[4,3,6,1,2,5,7]=>{{1,4},{2,3,5,6},{7}}=>0
[4,6,3,2,1,7,5]=>[4,3,7,1,2,6,5]=>{{1,4},{2,3,5,7},{6}}=>1
[4,6,3,2,5,1,7]=>[4,3,5,1,6,2,7]=>{{1,4},{2,3,5,6},{7}}=>0
[4,6,3,2,5,7,1]=>[4,3,5,1,7,6,2]=>{{1,4},{2,3,5,7},{6}}=>1
[4,6,3,2,7,1,5]=>[4,3,7,1,6,5,2]=>{{1,4},{2,3,7},{5,6}}=>1
[4,6,3,2,7,5,1]=>[4,3,7,1,6,2,5]=>{{1,4},{2,3,5,6,7}}=>0
[4,6,3,5,1,2,7]=>[4,3,6,5,2,1,7]=>{{1,2,3,4,5,6},{7}}=>0
[4,6,3,5,1,7,2]=>[4,3,7,5,2,6,1]=>{{1,2,3,4,5,7},{6}}=>1
[4,6,3,5,2,1,7]=>[4,3,6,5,1,2,7]=>{{1,4,5},{2,3,6},{7}}=>0
[4,6,3,5,2,7,1]=>[4,3,7,5,1,6,2]=>{{1,4,5},{2,3,7},{6}}=>1
[4,6,3,5,7,1,2]=>[4,3,7,6,5,2,1]=>{{1,2,3,4,6,7},{5}}=>2
[4,6,3,5,7,2,1]=>[4,3,7,6,5,1,2]=>{{1,4,6},{2,3,7},{5}}=>2
[4,6,3,7,1,2,5]=>[6,3,7,4,2,5,1]=>{{1,2,3,5,6,7},{4}}=>3
[4,6,3,7,1,5,2]=>[6,3,7,4,2,1,5]=>{{1,6},{2,3,5,7},{4}}=>3
[4,6,3,7,2,1,5]=>[6,3,7,4,1,5,2]=>{{1,5,6},{2,3,7},{4}}=>3
[4,6,3,7,2,5,1]=>[6,3,7,4,1,2,5]=>{{1,2,3,5,6,7},{4}}=>3
[4,6,3,7,5,1,2]=>[5,3,6,4,7,2,1]=>{{1,5,7},{2,3,6},{4}}=>4
[4,6,3,7,5,2,1]=>[5,3,6,4,7,1,2]=>{{1,2,3,5,6,7},{4}}=>3
[4,6,5,1,2,3,7]=>[6,4,5,3,2,1,7]=>{{1,6},{2,3,4,5},{7}}=>1
[4,6,5,1,2,7,3]=>[7,4,5,3,2,6,1]=>{{1,7},{2,3,4,5},{6}}=>2
[4,6,5,1,3,2,7]=>[6,4,5,3,1,2,7]=>{{1,2,3,4,5,6},{7}}=>0
[4,6,5,1,3,7,2]=>[7,4,5,3,1,6,2]=>{{1,2,3,4,5,7},{6}}=>1
[4,6,5,1,7,2,3]=>[7,4,6,3,5,2,1]=>{{1,7},{2,3,4,6},{5}}=>3
[4,6,5,1,7,3,2]=>[7,4,6,3,5,1,2]=>{{1,2,3,4,6,7},{5}}=>2
[4,6,5,2,1,3,7]=>[6,4,5,2,3,1,7]=>{{1,6},{2,4},{3,5},{7}}=>2
[4,6,5,2,1,7,3]=>[7,4,5,2,3,6,1]=>{{1,7},{2,4},{3,5},{6}}=>3
[4,6,5,2,3,1,7]=>[6,4,5,2,1,3,7]=>{{1,3,5,6},{2,4},{7}}=>2
[4,6,5,2,3,7,1]=>[7,4,5,2,1,6,3]=>{{1,3,5,7},{2,4},{6}}=>3
[4,6,5,2,7,1,3]=>[7,4,6,2,5,3,1]=>{{1,7},{2,4},{3,6},{5}}=>4
[4,6,5,2,7,3,1]=>[7,4,6,2,5,1,3]=>{{1,3,6,7},{2,4},{5}}=>4
[4,6,5,3,1,2,7]=>[6,4,5,1,3,2,7]=>{{1,2,4,6},{3,5},{7}}=>1
[4,6,5,3,1,7,2]=>[7,4,5,1,3,6,2]=>{{1,2,4,7},{3,5},{6}}=>2
[4,6,5,3,2,1,7]=>[6,4,5,1,2,3,7]=>{{1,2,3,4,5,6},{7}}=>0
[4,6,5,3,2,7,1]=>[7,4,5,1,2,6,3]=>{{1,2,3,4,5,7},{6}}=>1
[4,6,5,3,7,1,2]=>[7,4,6,1,5,3,2]=>{{1,2,4,7},{3,6},{5}}=>3
[4,6,5,3,7,2,1]=>[7,4,6,1,5,2,3]=>{{1,2,3,4,6,7},{5}}=>2
[4,6,5,7,1,2,3]=>[7,5,6,4,3,2,1]=>{{1,7},{2,3,5,6},{4}}=>4
[4,6,5,7,1,3,2]=>[7,5,6,4,3,1,2]=>{{1,2,3,5,6,7},{4}}=>3
[4,6,5,7,2,1,3]=>[7,5,6,4,2,3,1]=>{{1,7},{2,5},{3,6},{4}}=>5
[4,6,5,7,2,3,1]=>[7,5,6,4,2,1,3]=>{{1,3,6,7},{2,5},{4}}=>5
[4,6,5,7,3,1,2]=>[7,5,6,4,1,3,2]=>{{1,2,5,7},{3,6},{4}}=>4
[4,6,5,7,3,2,1]=>[7,5,6,4,1,2,3]=>{{1,2,3,5,6,7},{4}}=>3
[4,6,7,1,2,3,5]=>[7,6,4,3,2,5,1]=>{{1,7},{2,5,6},{3,4}}=>4
[4,6,7,1,2,5,3]=>[7,6,4,3,2,1,5]=>{{1,2,5,6,7},{3,4}}=>3
[4,6,7,1,3,2,5]=>[7,6,4,3,1,5,2]=>{{1,2,5,6,7},{3,4}}=>3
[4,6,7,1,3,5,2]=>[7,6,4,3,1,2,5]=>{{1,5,7},{2,6},{3,4}}=>4
[4,6,7,1,5,2,3]=>[6,5,4,3,7,2,1]=>{{1,2,5,6,7},{3,4}}=>3
[4,6,7,1,5,3,2]=>[6,5,4,3,7,1,2]=>{{1,6},{2,5,7},{3,4}}=>3
[4,6,7,2,1,3,5]=>[7,6,4,2,3,5,1]=>{{1,7},{2,3,4,5,6}}=>1
[4,6,7,2,1,5,3]=>[7,6,4,2,3,1,5]=>{{1,2,3,4,5,6,7}}=>0
[4,6,7,2,3,1,5]=>[7,6,4,2,1,5,3]=>{{1,2,3,4,5,6,7}}=>0
[4,6,7,2,3,5,1]=>[7,6,4,2,1,3,5]=>{{1,5,7},{2,3,4,6}}=>1
[4,6,7,2,5,1,3]=>[6,5,4,2,7,3,1]=>{{1,2,3,4,5,6,7}}=>0
[4,6,7,2,5,3,1]=>[6,5,4,2,7,1,3]=>{{1,6},{2,3,4,5,7}}=>0
[4,6,7,3,1,2,5]=>[7,6,4,1,3,5,2]=>{{1,2,3,4,5,6,7}}=>0
[4,6,7,3,1,5,2]=>[7,6,4,1,3,2,5]=>{{1,3,4,5,7},{2,6}}=>1
[4,6,7,3,2,1,5]=>[7,6,4,1,2,5,3]=>{{1,3,4,7},{2,5,6}}=>1
[4,6,7,3,2,5,1]=>[7,6,4,1,2,3,5]=>{{1,2,3,4,5,6,7}}=>0
[4,6,7,3,5,1,2]=>[6,5,4,1,7,3,2]=>{{1,3,4,6},{2,5,7}}=>0
[4,6,7,3,5,2,1]=>[6,5,4,1,7,2,3]=>{{1,2,3,4,5,6,7}}=>0
[4,6,7,5,1,2,3]=>[7,5,4,6,3,2,1]=>{{1,7},{2,3,4,5,6}}=>1
[4,6,7,5,1,3,2]=>[7,5,4,6,3,1,2]=>{{1,2,3,4,5,6,7}}=>0
[4,6,7,5,2,1,3]=>[7,5,4,6,2,3,1]=>{{1,7},{2,5},{3,4,6}}=>2
[4,6,7,5,2,3,1]=>[7,5,4,6,2,1,3]=>{{1,3,4,6,7},{2,5}}=>2
[4,6,7,5,3,1,2]=>[7,5,4,6,1,3,2]=>{{1,2,5,7},{3,4,6}}=>1
[4,6,7,5,3,2,1]=>[7,5,4,6,1,2,3]=>{{1,2,3,4,5,6,7}}=>0
[4,7,1,2,3,5,6]=>[7,4,2,3,1,5,6]=>{{1,5,6,7},{2,3,4}}=>3
[4,7,1,2,3,6,5]=>[6,4,2,3,1,7,5]=>{{1,5,6,7},{2,3,4}}=>3
[4,7,1,2,5,3,6]=>[5,4,2,3,7,1,6]=>{{1,5,6,7},{2,3,4}}=>3
[4,7,1,2,5,6,3]=>[5,4,2,3,6,7,1]=>{{1,5,6,7},{2,3,4}}=>3
[4,7,1,2,6,3,5]=>[6,4,2,3,7,5,1]=>{{1,5,6,7},{2,3,4}}=>3
[4,7,1,2,6,5,3]=>[6,4,2,3,7,1,5]=>{{1,6},{2,3,4},{5,7}}=>1
[4,7,1,3,2,5,6]=>[7,4,2,1,3,5,6]=>{{1,2,3,4,5,6,7}}=>0
[4,7,1,3,2,6,5]=>[6,4,2,1,3,7,5]=>{{1,2,3,4,5,6,7}}=>0
[4,7,1,3,5,2,6]=>[5,4,2,1,7,3,6]=>{{1,2,3,4,5,6,7}}=>0
[4,7,1,3,5,6,2]=>[5,4,2,1,6,7,3]=>{{1,2,3,4,5,6,7}}=>0
[4,7,1,3,6,2,5]=>[6,4,2,1,7,5,3]=>{{1,2,3,4,5,6,7}}=>0
[4,7,1,3,6,5,2]=>[6,4,2,1,7,3,5]=>{{1,2,3,4,6},{5,7}}=>0
[4,7,1,5,2,3,6]=>[7,4,2,5,3,1,6]=>{{1,6,7},{2,3,4,5}}=>2
[4,7,1,5,2,6,3]=>[6,4,2,5,3,7,1]=>{{1,6,7},{2,3,4,5}}=>2
[4,7,1,5,3,2,6]=>[7,4,2,5,1,3,6]=>{{1,2,3,4,5,6,7}}=>0
[4,7,1,5,3,6,2]=>[6,4,2,5,1,7,3]=>{{1,2,3,4,5,6,7}}=>0
[4,7,1,5,6,2,3]=>[7,4,2,5,6,3,1]=>{{1,7},{2,3,4,5,6}}=>1
[4,7,1,5,6,3,2]=>[7,4,2,5,6,1,3]=>{{1,2,3,4,5,6,7}}=>0
[4,7,1,6,2,3,5]=>[7,4,2,6,3,5,1]=>{{1,7},{2,3,4,5,6}}=>1
[4,7,1,6,2,5,3]=>[7,4,2,6,3,1,5]=>{{1,2,3,4,5,6,7}}=>0
[4,7,1,6,3,2,5]=>[7,4,2,6,1,5,3]=>{{1,2,3,4,5,6,7}}=>0
[4,7,1,6,3,5,2]=>[7,4,2,6,1,3,5]=>{{1,5,7},{2,3,4,6}}=>1
[4,7,1,6,5,2,3]=>[6,4,2,5,7,3,1]=>{{1,2,3,4,5,6,7}}=>0
[4,7,1,6,5,3,2]=>[6,4,2,5,7,1,3]=>{{1,6},{2,3,4,5,7}}=>0
[4,7,2,1,3,5,6]=>[7,4,1,3,2,5,6]=>{{1,2,3,4,5,6,7}}=>0
[4,7,2,1,3,6,5]=>[6,4,1,3,2,7,5]=>{{1,2,3,4,5,6,7}}=>0
[4,7,2,1,5,3,6]=>[5,4,1,3,7,2,6]=>{{1,2,3,4,5,6,7}}=>0
[4,7,2,1,5,6,3]=>[5,4,1,3,6,7,2]=>{{1,2,3,4,5,6,7}}=>0
[4,7,2,1,6,3,5]=>[6,4,1,3,7,5,2]=>{{1,2,3,4,5,6,7}}=>0
[4,7,2,1,6,5,3]=>[6,4,1,3,7,2,5]=>{{1,2,3,4,6},{5,7}}=>0
[4,7,2,3,1,5,6]=>[7,4,1,2,3,5,6]=>{{1,3,5,6,7},{2,4}}=>3
[4,7,2,3,1,6,5]=>[6,4,1,2,3,7,5]=>{{1,3,5,6,7},{2,4}}=>3
[4,7,2,3,5,1,6]=>[5,4,1,2,7,3,6]=>{{1,3,5,6,7},{2,4}}=>3
[4,7,2,3,5,6,1]=>[5,4,1,2,6,7,3]=>{{1,3,5,6,7},{2,4}}=>3
[4,7,2,3,6,1,5]=>[6,4,1,2,7,5,3]=>{{1,3,5,6,7},{2,4}}=>3
[4,7,2,3,6,5,1]=>[6,4,1,2,7,3,5]=>{{1,3,6},{2,4},{5,7}}=>1
[4,7,2,5,1,3,6]=>[7,4,1,5,3,2,6]=>{{1,2,3,4,5,6,7}}=>0
[4,7,2,5,1,6,3]=>[6,4,1,5,3,7,2]=>{{1,2,3,4,5,6,7}}=>0
[4,7,2,5,3,1,6]=>[7,4,1,5,2,3,6]=>{{1,3,6,7},{2,4,5}}=>2
[4,7,2,5,3,6,1]=>[6,4,1,5,2,7,3]=>{{1,3,6,7},{2,4,5}}=>2
[4,7,2,5,6,1,3]=>[7,4,1,5,6,3,2]=>{{1,2,3,4,5,6,7}}=>0
[4,7,2,5,6,3,1]=>[7,4,1,5,6,2,3]=>{{1,3,7},{2,4,5,6}}=>1
[4,7,2,6,1,3,5]=>[7,4,1,6,3,5,2]=>{{1,2,3,4,5,6,7}}=>0
[4,7,2,6,1,5,3]=>[7,4,1,6,3,2,5]=>{{1,3,5,7},{2,4,6}}=>1
[4,7,2,6,3,1,5]=>[7,4,1,6,2,5,3]=>{{1,3,7},{2,4,5,6}}=>1
[4,7,2,6,3,5,1]=>[7,4,1,6,2,3,5]=>{{1,2,3,4,5,6,7}}=>0
[4,7,2,6,5,1,3]=>[6,4,1,5,7,3,2]=>{{1,3,6},{2,4,5,7}}=>0
[4,7,2,6,5,3,1]=>[6,4,1,5,7,2,3]=>{{1,2,3,4,5,6,7}}=>0
[4,7,3,1,2,5,6]=>[4,3,7,2,1,5,6]=>{{1,2,3,4,5,6,7}}=>0
[4,7,3,1,2,6,5]=>[4,3,6,2,1,7,5]=>{{1,2,3,4,5,6,7}}=>0
[4,7,3,1,5,2,6]=>[4,3,5,2,7,1,6]=>{{1,2,3,4,5,6,7}}=>0
[4,7,3,1,5,6,2]=>[4,3,5,2,6,7,1]=>{{1,2,3,4,5,6,7}}=>0
[4,7,3,1,6,2,5]=>[4,3,6,2,7,5,1]=>{{1,2,3,4,5,6,7}}=>0
[4,7,3,1,6,5,2]=>[4,3,6,2,7,1,5]=>{{1,2,3,4,6},{5,7}}=>0
[4,7,3,2,1,5,6]=>[4,3,7,1,2,5,6]=>{{1,4},{2,3,5,6,7}}=>0
[4,7,3,2,1,6,5]=>[4,3,6,1,2,7,5]=>{{1,4},{2,3,5,6,7}}=>0
[4,7,3,2,5,1,6]=>[4,3,5,1,7,2,6]=>{{1,4},{2,3,5,6,7}}=>0
[4,7,3,2,5,6,1]=>[4,3,5,1,6,7,2]=>{{1,4},{2,3,5,6,7}}=>0
[4,7,3,2,6,1,5]=>[4,3,6,1,7,5,2]=>{{1,4},{2,3,5,6,7}}=>0
[4,7,3,2,6,5,1]=>[4,3,6,1,7,2,5]=>{{1,4},{2,3,6},{5,7}}=>0
[4,7,3,5,1,2,6]=>[4,3,7,5,2,1,6]=>{{1,2,3,4,5,6,7}}=>0
[4,7,3,5,1,6,2]=>[4,3,6,5,2,7,1]=>{{1,2,3,4,5,6,7}}=>0
[4,7,3,5,2,1,6]=>[4,3,7,5,1,2,6]=>{{1,4,5},{2,3,6,7}}=>0
[4,7,3,5,2,6,1]=>[4,3,6,5,1,7,2]=>{{1,4,5},{2,3,6,7}}=>0
[4,7,3,5,6,1,2]=>[4,3,7,5,6,2,1]=>{{1,2,3,4,5,6,7}}=>0
[4,7,3,5,6,2,1]=>[4,3,7,5,6,1,2]=>{{1,4,5,6},{2,3,7}}=>0
[4,7,3,6,1,2,5]=>[4,3,7,6,2,5,1]=>{{1,2,3,4,5,6,7}}=>0
[4,7,3,6,1,5,2]=>[4,3,7,6,2,1,5]=>{{1,4,6},{2,3,5,7}}=>0
[4,7,3,6,2,1,5]=>[4,3,7,6,1,5,2]=>{{1,4,5,6},{2,3,7}}=>0
[4,7,3,6,2,5,1]=>[4,3,7,6,1,2,5]=>{{1,2,3,4,5,6,7}}=>0
[4,7,3,6,5,1,2]=>[4,3,6,5,7,2,1]=>{{1,4,5,7},{2,3,6}}=>1
[4,7,3,6,5,2,1]=>[4,3,6,5,7,1,2]=>{{1,2,3,4,5,6,7}}=>0
[4,7,5,1,2,3,6]=>[7,4,5,3,2,1,6]=>{{1,6,7},{2,3,4,5}}=>2
[4,7,5,1,2,6,3]=>[6,4,5,3,2,7,1]=>{{1,6,7},{2,3,4,5}}=>2
[4,7,5,1,3,2,6]=>[7,4,5,3,1,2,6]=>{{1,2,3,4,5,6,7}}=>0
[4,7,5,1,3,6,2]=>[6,4,5,3,1,7,2]=>{{1,2,3,4,5,6,7}}=>0
[4,7,5,1,6,2,3]=>[7,4,5,3,6,2,1]=>{{1,7},{2,3,4,5,6}}=>1
[4,7,5,1,6,3,2]=>[7,4,5,3,6,1,2]=>{{1,2,3,4,5,6,7}}=>0
[4,7,5,2,1,3,6]=>[7,4,5,2,3,1,6]=>{{1,6,7},{2,4},{3,5}}=>4
[4,7,5,2,1,6,3]=>[6,4,5,2,3,7,1]=>{{1,6,7},{2,4},{3,5}}=>4
[4,7,5,2,3,1,6]=>[7,4,5,2,1,3,6]=>{{1,3,5,6,7},{2,4}}=>3
[4,7,5,2,3,6,1]=>[6,4,5,2,1,7,3]=>{{1,3,5,6,7},{2,4}}=>3
[4,7,5,2,6,1,3]=>[7,4,5,2,6,3,1]=>{{1,7},{2,4},{3,5,6}}=>2
[4,7,5,2,6,3,1]=>[7,4,5,2,6,1,3]=>{{1,3,5,6,7},{2,4}}=>3
[4,7,5,3,1,2,6]=>[7,4,5,1,3,2,6]=>{{1,2,4,6,7},{3,5}}=>2
[4,7,5,3,1,6,2]=>[6,4,5,1,3,7,2]=>{{1,2,4,6,7},{3,5}}=>2
[4,7,5,3,2,1,6]=>[7,4,5,1,2,3,6]=>{{1,2,3,4,5,6,7}}=>0
[4,7,5,3,2,6,1]=>[6,4,5,1,2,7,3]=>{{1,2,3,4,5,6,7}}=>0
[4,7,5,3,6,1,2]=>[7,4,5,1,6,3,2]=>{{1,2,4,7},{3,5,6}}=>1
[4,7,5,3,6,2,1]=>[7,4,5,1,6,2,3]=>{{1,2,3,4,5,6,7}}=>0
[4,7,5,6,1,2,3]=>[7,4,6,5,3,2,1]=>{{1,7},{2,3,4,5,6}}=>1
[4,7,5,6,1,3,2]=>[7,4,6,5,3,1,2]=>{{1,2,3,4,5,6,7}}=>0
[4,7,5,6,2,1,3]=>[7,4,6,5,2,3,1]=>{{1,7},{2,4,5},{3,6}}=>2
[4,7,5,6,2,3,1]=>[7,4,6,5,2,1,3]=>{{1,3,6,7},{2,4,5}}=>2
[4,7,5,6,3,1,2]=>[7,4,6,5,1,3,2]=>{{1,2,4,5,7},{3,6}}=>1
[4,7,5,6,3,2,1]=>[7,4,6,5,1,2,3]=>{{1,2,3,4,5,6,7}}=>0
[4,7,6,1,2,3,5]=>[7,4,6,3,2,5,1]=>{{1,7},{2,3,4,5,6}}=>1
[4,7,6,1,2,5,3]=>[7,4,6,3,2,1,5]=>{{1,2,3,4,5,6,7}}=>0
[4,7,6,1,3,2,5]=>[7,4,6,3,1,5,2]=>{{1,2,3,4,5,6,7}}=>0
[4,7,6,1,3,5,2]=>[7,4,6,3,1,2,5]=>{{1,5,7},{2,3,4,6}}=>1
[4,7,6,1,5,2,3]=>[6,4,5,3,7,2,1]=>{{1,2,3,4,5,6,7}}=>0
[4,7,6,1,5,3,2]=>[6,4,5,3,7,1,2]=>{{1,6},{2,3,4,5,7}}=>0
[4,7,6,2,1,3,5]=>[7,4,6,2,3,5,1]=>{{1,7},{2,4},{3,5,6}}=>2
[4,7,6,2,1,5,3]=>[7,4,6,2,3,1,5]=>{{1,3,5,6,7},{2,4}}=>3
[4,7,6,2,3,1,5]=>[7,4,6,2,1,5,3]=>{{1,3,5,6,7},{2,4}}=>3
[4,7,6,2,3,5,1]=>[7,4,6,2,1,3,5]=>{{1,5,7},{2,4},{3,6}}=>3
[4,7,6,2,5,1,3]=>[6,4,5,2,7,3,1]=>{{1,3,5,6,7},{2,4}}=>3
[4,7,6,2,5,3,1]=>[6,4,5,2,7,1,3]=>{{1,6},{2,4},{3,5,7}}=>1
[4,7,6,3,1,2,5]=>[7,4,6,1,3,5,2]=>{{1,2,4,7},{3,5,6}}=>1
[4,7,6,3,1,5,2]=>[7,4,6,1,3,2,5]=>{{1,2,3,4,5,6,7}}=>0
[4,7,6,3,2,1,5]=>[7,4,6,1,2,5,3]=>{{1,2,3,4,5,6,7}}=>0
[4,7,6,3,2,5,1]=>[7,4,6,1,2,3,5]=>{{1,2,4,5,7},{3,6}}=>1
[4,7,6,3,5,1,2]=>[6,4,5,1,7,3,2]=>{{1,2,3,4,5,6,7}}=>0
[4,7,6,3,5,2,1]=>[6,4,5,1,7,2,3]=>{{1,2,4,6},{3,5,7}}=>0
[4,7,6,5,1,2,3]=>[7,4,5,6,3,2,1]=>{{1,7},{2,4,6},{3,5}}=>3
[4,7,6,5,1,3,2]=>[7,4,5,6,3,1,2]=>{{1,2,4,6,7},{3,5}}=>2
[4,7,6,5,2,1,3]=>[7,4,5,6,2,3,1]=>{{1,7},{2,3,4,5,6}}=>1
[4,7,6,5,2,3,1]=>[7,4,5,6,2,1,3]=>{{1,2,3,4,5,6,7}}=>0
[4,7,6,5,3,1,2]=>[7,4,5,6,1,3,2]=>{{1,2,3,4,5,6,7}}=>0
[4,7,6,5,3,2,1]=>[7,4,5,6,1,2,3]=>{{1,3,5,7},{2,4,6}}=>1
[5,1,2,3,4,6,7]=>[5,1,2,3,4,6,7]=>{{1,2,3,4,5},{6},{7}}=>0
[5,1,2,3,4,7,6]=>[5,1,2,3,4,7,6]=>{{1,2,3,4,5},{6,7}}=>0
[5,1,2,3,6,4,7]=>[6,1,2,3,5,4,7]=>{{1,2,3,4,6},{5},{7}}=>1
[5,1,2,3,6,7,4]=>[7,1,2,3,5,6,4]=>{{1,2,3,4,7},{5},{6}}=>2
[5,1,2,3,7,4,6]=>[7,1,2,3,5,4,6]=>{{1,2,3,4,6,7},{5}}=>2
[5,1,2,3,7,6,4]=>[6,1,2,3,5,7,4]=>{{1,2,3,4,6,7},{5}}=>2
[5,1,2,4,3,6,7]=>[4,1,2,5,3,6,7]=>{{1,2,3,4,5},{6},{7}}=>0
[5,1,2,4,3,7,6]=>[4,1,2,5,3,7,6]=>{{1,2,3,4,5},{6,7}}=>0
[5,1,2,4,6,3,7]=>[4,1,2,6,5,3,7]=>{{1,2,3,4,6},{5},{7}}=>1
[5,1,2,4,6,7,3]=>[4,1,2,7,5,6,3]=>{{1,2,3,4,7},{5},{6}}=>2
[5,1,2,4,7,3,6]=>[4,1,2,7,5,3,6]=>{{1,2,3,4,6,7},{5}}=>2
[5,1,2,4,7,6,3]=>[4,1,2,6,5,7,3]=>{{1,2,3,4,6,7},{5}}=>2
[5,1,2,6,3,4,7]=>[6,1,2,5,4,3,7]=>{{1,2,3,6},{4,5},{7}}=>1
[5,1,2,6,3,7,4]=>[7,1,2,5,4,6,3]=>{{1,2,3,7},{4,5},{6}}=>2
[5,1,2,6,4,3,7]=>[6,1,2,5,3,4,7]=>{{1,2,3,4,5,6},{7}}=>0
[5,1,2,6,4,7,3]=>[7,1,2,5,3,6,4]=>{{1,2,3,4,5,7},{6}}=>1
[5,1,2,6,7,3,4]=>[7,1,2,6,5,4,3]=>{{1,2,3,7},{4,6},{5}}=>3
[5,1,2,6,7,4,3]=>[7,1,2,6,5,3,4]=>{{1,2,3,4,6,7},{5}}=>2
[5,1,2,7,3,4,6]=>[7,1,2,5,4,3,6]=>{{1,2,3,6,7},{4,5}}=>2
[5,1,2,7,3,6,4]=>[6,1,2,5,4,7,3]=>{{1,2,3,6,7},{4,5}}=>2
[5,1,2,7,4,3,6]=>[7,1,2,5,3,4,6]=>{{1,2,3,4,5,6,7}}=>0
[5,1,2,7,4,6,3]=>[6,1,2,5,3,7,4]=>{{1,2,3,4,5,6,7}}=>0
[5,1,2,7,6,3,4]=>[7,1,2,5,6,4,3]=>{{1,2,3,7},{4,5,6}}=>1
[5,1,2,7,6,4,3]=>[7,1,2,5,6,3,4]=>{{1,2,3,4,5,6,7}}=>0
[5,1,3,2,4,6,7]=>[3,1,5,2,4,6,7]=>{{1,2,3,4,5},{6},{7}}=>0
[5,1,3,2,4,7,6]=>[3,1,5,2,4,7,6]=>{{1,2,3,4,5},{6,7}}=>0
[5,1,3,2,6,4,7]=>[3,1,6,2,5,4,7]=>{{1,2,3,4,6},{5},{7}}=>1
[5,1,3,2,6,7,4]=>[3,1,7,2,5,6,4]=>{{1,2,3,4,7},{5},{6}}=>2
[5,1,3,2,7,4,6]=>[3,1,7,2,5,4,6]=>{{1,2,3,4,6,7},{5}}=>2
[5,1,3,2,7,6,4]=>[3,1,6,2,5,7,4]=>{{1,2,3,4,6,7},{5}}=>2
[5,1,3,4,2,6,7]=>[3,1,4,5,2,6,7]=>{{1,2,3,4,5},{6},{7}}=>0
[5,1,3,4,2,7,6]=>[3,1,4,5,2,7,6]=>{{1,2,3,4,5},{6,7}}=>0
[5,1,3,4,6,2,7]=>[3,1,4,6,5,2,7]=>{{1,2,3,4,6},{5},{7}}=>1
[5,1,3,4,6,7,2]=>[3,1,4,7,5,6,2]=>{{1,2,3,4,7},{5},{6}}=>2
[5,1,3,4,7,2,6]=>[3,1,4,7,5,2,6]=>{{1,2,3,4,6,7},{5}}=>2
[5,1,3,4,7,6,2]=>[3,1,4,6,5,7,2]=>{{1,2,3,4,6,7},{5}}=>2
[5,1,3,6,2,4,7]=>[3,1,6,5,4,2,7]=>{{1,2,3,6},{4,5},{7}}=>1
[5,1,3,6,2,7,4]=>[3,1,7,5,4,6,2]=>{{1,2,3,7},{4,5},{6}}=>2
[5,1,3,6,4,2,7]=>[3,1,6,5,2,4,7]=>{{1,2,3,4,5,6},{7}}=>0
[5,1,3,6,4,7,2]=>[3,1,7,5,2,6,4]=>{{1,2,3,4,5,7},{6}}=>1
[5,1,3,6,7,2,4]=>[3,1,7,6,5,4,2]=>{{1,2,3,7},{4,6},{5}}=>3
[5,1,3,6,7,4,2]=>[3,1,7,6,5,2,4]=>{{1,2,3,4,6,7},{5}}=>2
[5,1,3,7,2,4,6]=>[3,1,7,5,4,2,6]=>{{1,2,3,6,7},{4,5}}=>2
[5,1,3,7,2,6,4]=>[3,1,6,5,4,7,2]=>{{1,2,3,6,7},{4,5}}=>2
[5,1,3,7,4,2,6]=>[3,1,7,5,2,4,6]=>{{1,2,3,4,5,6,7}}=>0
[5,1,3,7,4,6,2]=>[3,1,6,5,2,7,4]=>{{1,2,3,4,5,6,7}}=>0
[5,1,3,7,6,2,4]=>[3,1,7,5,6,4,2]=>{{1,2,3,7},{4,5,6}}=>1
[5,1,3,7,6,4,2]=>[3,1,7,5,6,2,4]=>{{1,2,3,4,5,6,7}}=>0
[5,1,4,2,3,6,7]=>[4,1,5,3,2,6,7]=>{{1,2,3,4,5},{6},{7}}=>0
[5,1,4,2,3,7,6]=>[4,1,5,3,2,7,6]=>{{1,2,3,4,5},{6,7}}=>0
[5,1,4,2,6,3,7]=>[4,1,6,3,5,2,7]=>{{1,2,3,4,6},{5},{7}}=>1
[5,1,4,2,6,7,3]=>[4,1,7,3,5,6,2]=>{{1,2,3,4,7},{5},{6}}=>2
[5,1,4,2,7,3,6]=>[4,1,7,3,5,2,6]=>{{1,2,3,4,6,7},{5}}=>2
[5,1,4,2,7,6,3]=>[4,1,6,3,5,7,2]=>{{1,2,3,4,6,7},{5}}=>2
[5,1,4,3,2,6,7]=>[4,1,5,2,3,6,7]=>{{1,2,4},{3,5},{6},{7}}=>0
[5,1,4,3,2,7,6]=>[4,1,5,2,3,7,6]=>{{1,2,4},{3,5},{6,7}}=>0
[5,1,4,3,6,2,7]=>[4,1,6,2,5,3,7]=>{{1,2,4},{3,6},{5},{7}}=>1
[5,1,4,3,6,7,2]=>[4,1,7,2,5,6,3]=>{{1,2,4},{3,7},{5},{6}}=>2
[5,1,4,3,7,2,6]=>[4,1,7,2,5,3,6]=>{{1,2,4},{3,6,7},{5}}=>2
[5,1,4,3,7,6,2]=>[4,1,6,2,5,7,3]=>{{1,2,4},{3,6,7},{5}}=>2
[5,1,4,6,2,3,7]=>[5,1,6,4,3,2,7]=>{{1,2,3,5,6},{4},{7}}=>2
[5,1,4,6,2,7,3]=>[5,1,7,4,3,6,2]=>{{1,2,3,5,7},{4},{6}}=>3
[5,1,4,6,3,2,7]=>[5,1,6,4,2,3,7]=>{{1,2,5},{3,6},{4},{7}}=>2
[5,1,4,6,3,7,2]=>[5,1,7,4,2,6,3]=>{{1,2,5},{3,7},{4},{6}}=>3
[5,1,4,6,7,2,3]=>[6,1,7,4,5,3,2]=>{{1,2,3,6,7},{4},{5}}=>4
[5,1,4,6,7,3,2]=>[6,1,7,4,5,2,3]=>{{1,2,6},{3,7},{4},{5}}=>4
[5,1,4,7,2,3,6]=>[5,1,7,4,3,2,6]=>{{1,2,3,5,6,7},{4}}=>3
[5,1,4,7,2,6,3]=>[5,1,6,4,3,7,2]=>{{1,2,3,5,6,7},{4}}=>3
[5,1,4,7,3,2,6]=>[5,1,7,4,2,3,6]=>{{1,2,5},{3,6,7},{4}}=>3
[5,1,4,7,3,6,2]=>[5,1,6,4,2,7,3]=>{{1,2,5},{3,6,7},{4}}=>3
[5,1,4,7,6,2,3]=>[5,1,7,4,6,3,2]=>{{1,2,3,5,6,7},{4}}=>3
[5,1,4,7,6,3,2]=>[5,1,7,4,6,2,3]=>{{1,2,5,6},{3,7},{4}}=>3
[5,1,6,2,3,4,7]=>[6,1,5,3,4,2,7]=>{{1,2,6},{3,4,5},{7}}=>1
[5,1,6,2,3,7,4]=>[7,1,5,3,4,6,2]=>{{1,2,7},{3,4,5},{6}}=>2
[5,1,6,2,4,3,7]=>[6,1,5,3,2,4,7]=>{{1,2,3,4,5,6},{7}}=>0
[5,1,6,2,4,7,3]=>[7,1,5,3,2,6,4]=>{{1,2,3,4,5,7},{6}}=>1
[5,1,6,2,7,3,4]=>[7,1,6,3,5,4,2]=>{{1,2,7},{3,4,6},{5}}=>3
[5,1,6,2,7,4,3]=>[7,1,6,3,5,2,4]=>{{1,2,3,4,6,7},{5}}=>2
[5,1,6,3,2,4,7]=>[6,1,5,2,4,3,7]=>{{1,2,3,4,5,6},{7}}=>0
[5,1,6,3,2,7,4]=>[7,1,5,2,4,6,3]=>{{1,2,3,4,5,7},{6}}=>1
[5,1,6,3,4,2,7]=>[6,1,5,2,3,4,7]=>{{1,2,4,6},{3,5},{7}}=>1
[5,1,6,3,4,7,2]=>[7,1,5,2,3,6,4]=>{{1,2,4,7},{3,5},{6}}=>2
[5,1,6,3,7,2,4]=>[7,1,6,2,5,4,3]=>{{1,2,3,4,6,7},{5}}=>2
[5,1,6,3,7,4,2]=>[7,1,6,2,5,3,4]=>{{1,2,4,7},{3,6},{5}}=>3
[5,1,6,4,2,3,7]=>[5,1,4,6,3,2,7]=>{{1,2,3,4,5,6},{7}}=>0
[5,1,6,4,2,7,3]=>[5,1,4,7,3,6,2]=>{{1,2,3,4,5,7},{6}}=>1
[5,1,6,4,3,2,7]=>[5,1,4,6,2,3,7]=>{{1,2,5},{3,4,6},{7}}=>0
[5,1,6,4,3,7,2]=>[5,1,4,7,2,6,3]=>{{1,2,5},{3,4,7},{6}}=>1
[5,1,6,4,7,2,3]=>[6,1,4,7,5,3,2]=>{{1,2,3,4,6,7},{5}}=>2
[5,1,6,4,7,3,2]=>[6,1,4,7,5,2,3]=>{{1,2,6},{3,4,7},{5}}=>2
[5,1,6,7,2,3,4]=>[7,1,6,5,4,3,2]=>{{1,2,7},{3,6},{4,5}}=>3
[5,1,6,7,2,4,3]=>[7,1,6,5,4,2,3]=>{{1,2,3,6,7},{4,5}}=>2
[5,1,6,7,3,2,4]=>[7,1,6,5,3,4,2]=>{{1,2,7},{3,4,5,6}}=>1
[5,1,6,7,3,4,2]=>[7,1,6,5,3,2,4]=>{{1,2,3,4,5,6,7}}=>0
[5,1,6,7,4,2,3]=>[7,1,6,5,2,4,3]=>{{1,2,3,4,5,6,7}}=>0
[5,1,6,7,4,3,2]=>[7,1,6,5,2,3,4]=>{{1,2,4,5,7},{3,6}}=>1
[5,1,7,2,3,4,6]=>[7,1,5,3,4,2,6]=>{{1,2,6,7},{3,4,5}}=>2
[5,1,7,2,3,6,4]=>[6,1,5,3,4,7,2]=>{{1,2,6,7},{3,4,5}}=>2
[5,1,7,2,4,3,6]=>[7,1,5,3,2,4,6]=>{{1,2,3,4,5,6,7}}=>0
[5,1,7,2,4,6,3]=>[6,1,5,3,2,7,4]=>{{1,2,3,4,5,6,7}}=>0
[5,1,7,2,6,3,4]=>[7,1,5,3,6,4,2]=>{{1,2,7},{3,4,5,6}}=>1
[5,1,7,2,6,4,3]=>[7,1,5,3,6,2,4]=>{{1,2,3,4,5,6,7}}=>0
[5,1,7,3,2,4,6]=>[7,1,5,2,4,3,6]=>{{1,2,3,4,5,6,7}}=>0
[5,1,7,3,2,6,4]=>[6,1,5,2,4,7,3]=>{{1,2,3,4,5,6,7}}=>0
[5,1,7,3,4,2,6]=>[7,1,5,2,3,4,6]=>{{1,2,4,6,7},{3,5}}=>2
[5,1,7,3,4,6,2]=>[6,1,5,2,3,7,4]=>{{1,2,4,6,7},{3,5}}=>2
[5,1,7,3,6,2,4]=>[7,1,5,2,6,4,3]=>{{1,2,3,4,5,6,7}}=>0
[5,1,7,3,6,4,2]=>[7,1,5,2,6,3,4]=>{{1,2,4,7},{3,5,6}}=>1
[5,1,7,4,2,3,6]=>[5,1,4,7,3,2,6]=>{{1,2,3,4,5,6,7}}=>0
[5,1,7,4,2,6,3]=>[5,1,4,6,3,7,2]=>{{1,2,3,4,5,6,7}}=>0
[5,1,7,4,3,2,6]=>[5,1,4,7,2,3,6]=>{{1,2,5},{3,4,6,7}}=>0
[5,1,7,4,3,6,2]=>[5,1,4,6,2,7,3]=>{{1,2,5},{3,4,6,7}}=>0
[5,1,7,4,6,2,3]=>[5,1,4,7,6,3,2]=>{{1,2,3,4,5,6,7}}=>0
[5,1,7,4,6,3,2]=>[5,1,4,7,6,2,3]=>{{1,2,5,6},{3,4,7}}=>0
[5,1,7,6,2,3,4]=>[7,1,5,6,4,3,2]=>{{1,2,7},{3,4,5,6}}=>1
[5,1,7,6,2,4,3]=>[7,1,5,6,4,2,3]=>{{1,2,3,4,5,6,7}}=>0
[5,1,7,6,3,2,4]=>[7,1,5,6,3,4,2]=>{{1,2,7},{3,5},{4,6}}=>2
[5,1,7,6,3,4,2]=>[7,1,5,6,3,2,4]=>{{1,2,4,6,7},{3,5}}=>2
[5,1,7,6,4,2,3]=>[7,1,5,6,2,4,3]=>{{1,2,3,5,7},{4,6}}=>1
[5,1,7,6,4,3,2]=>[7,1,5,6,2,3,4]=>{{1,2,3,4,5,6,7}}=>0
[5,2,1,3,4,6,7]=>[2,5,1,3,4,6,7]=>{{1,2,3,4,5},{6},{7}}=>0
[5,2,1,3,4,7,6]=>[2,5,1,3,4,7,6]=>{{1,2,3,4,5},{6,7}}=>0
[5,2,1,3,6,4,7]=>[2,6,1,3,5,4,7]=>{{1,2,3,4,6},{5},{7}}=>1
[5,2,1,3,6,7,4]=>[2,7,1,3,5,6,4]=>{{1,2,3,4,7},{5},{6}}=>2
[5,2,1,3,7,4,6]=>[2,7,1,3,5,4,6]=>{{1,2,3,4,6,7},{5}}=>2
[5,2,1,3,7,6,4]=>[2,6,1,3,5,7,4]=>{{1,2,3,4,6,7},{5}}=>2
[5,2,1,4,3,6,7]=>[2,4,1,5,3,6,7]=>{{1,2,3,4,5},{6},{7}}=>0
[5,2,1,4,3,7,6]=>[2,4,1,5,3,7,6]=>{{1,2,3,4,5},{6,7}}=>0
[5,2,1,4,6,3,7]=>[2,4,1,6,5,3,7]=>{{1,2,3,4,6},{5},{7}}=>1
[5,2,1,4,6,7,3]=>[2,4,1,7,5,6,3]=>{{1,2,3,4,7},{5},{6}}=>2
[5,2,1,4,7,3,6]=>[2,4,1,7,5,3,6]=>{{1,2,3,4,6,7},{5}}=>2
[5,2,1,4,7,6,3]=>[2,4,1,6,5,7,3]=>{{1,2,3,4,6,7},{5}}=>2
[5,2,1,6,3,4,7]=>[2,6,1,5,4,3,7]=>{{1,2,3,6},{4,5},{7}}=>1
[5,2,1,6,3,7,4]=>[2,7,1,5,4,6,3]=>{{1,2,3,7},{4,5},{6}}=>2
[5,2,1,6,4,3,7]=>[2,6,1,5,3,4,7]=>{{1,2,3,4,5,6},{7}}=>0
[5,2,1,6,4,7,3]=>[2,7,1,5,3,6,4]=>{{1,2,3,4,5,7},{6}}=>1
[5,2,1,6,7,3,4]=>[2,7,1,6,5,4,3]=>{{1,2,3,7},{4,6},{5}}=>3
[5,2,1,6,7,4,3]=>[2,7,1,6,5,3,4]=>{{1,2,3,4,6,7},{5}}=>2
[5,2,1,7,3,4,6]=>[2,7,1,5,4,3,6]=>{{1,2,3,6,7},{4,5}}=>2
[5,2,1,7,3,6,4]=>[2,6,1,5,4,7,3]=>{{1,2,3,6,7},{4,5}}=>2
[5,2,1,7,4,3,6]=>[2,7,1,5,3,4,6]=>{{1,2,3,4,5,6,7}}=>0
[5,2,1,7,4,6,3]=>[2,6,1,5,3,7,4]=>{{1,2,3,4,5,6,7}}=>0
[5,2,1,7,6,3,4]=>[2,7,1,5,6,4,3]=>{{1,2,3,7},{4,5,6}}=>1
[5,2,1,7,6,4,3]=>[2,7,1,5,6,3,4]=>{{1,2,3,4,5,6,7}}=>0
[5,2,3,1,4,6,7]=>[2,3,5,1,4,6,7]=>{{1,2,3,4,5},{6},{7}}=>0
[5,2,3,1,4,7,6]=>[2,3,5,1,4,7,6]=>{{1,2,3,4,5},{6,7}}=>0
[5,2,3,1,6,4,7]=>[2,3,6,1,5,4,7]=>{{1,2,3,4,6},{5},{7}}=>1
[5,2,3,1,6,7,4]=>[2,3,7,1,5,6,4]=>{{1,2,3,4,7},{5},{6}}=>2
[5,2,3,1,7,4,6]=>[2,3,7,1,5,4,6]=>{{1,2,3,4,6,7},{5}}=>2
[5,2,3,1,7,6,4]=>[2,3,6,1,5,7,4]=>{{1,2,3,4,6,7},{5}}=>2
[5,2,3,4,1,6,7]=>[2,3,4,5,1,6,7]=>{{1,2,3,4,5},{6},{7}}=>0
[5,2,3,4,1,7,6]=>[2,3,4,5,1,7,6]=>{{1,2,3,4,5},{6,7}}=>0
[5,2,3,4,6,1,7]=>[2,3,4,6,5,1,7]=>{{1,2,3,4,6},{5},{7}}=>1
[5,2,3,4,6,7,1]=>[2,3,4,7,5,6,1]=>{{1,2,3,4,7},{5},{6}}=>2
[5,2,3,4,7,1,6]=>[2,3,4,7,5,1,6]=>{{1,2,3,4,6,7},{5}}=>2
[5,2,3,4,7,6,1]=>[2,3,4,6,5,7,1]=>{{1,2,3,4,6,7},{5}}=>2
[5,2,3,6,1,4,7]=>[2,3,6,5,4,1,7]=>{{1,2,3,6},{4,5},{7}}=>1
[5,2,3,6,1,7,4]=>[2,3,7,5,4,6,1]=>{{1,2,3,7},{4,5},{6}}=>2
[5,2,3,6,4,1,7]=>[2,3,6,5,1,4,7]=>{{1,2,3,4,5,6},{7}}=>0
[5,2,3,6,4,7,1]=>[2,3,7,5,1,6,4]=>{{1,2,3,4,5,7},{6}}=>1
[5,2,3,6,7,1,4]=>[2,3,7,6,5,4,1]=>{{1,2,3,7},{4,6},{5}}=>3
[5,2,3,6,7,4,1]=>[2,3,7,6,5,1,4]=>{{1,2,3,4,6,7},{5}}=>2
[5,2,3,7,1,4,6]=>[2,3,7,5,4,1,6]=>{{1,2,3,6,7},{4,5}}=>2
[5,2,3,7,1,6,4]=>[2,3,6,5,4,7,1]=>{{1,2,3,6,7},{4,5}}=>2
[5,2,3,7,4,1,6]=>[2,3,7,5,1,4,6]=>{{1,2,3,4,5,6,7}}=>0
[5,2,3,7,4,6,1]=>[2,3,6,5,1,7,4]=>{{1,2,3,4,5,6,7}}=>0
[5,2,3,7,6,1,4]=>[2,3,7,5,6,4,1]=>{{1,2,3,7},{4,5,6}}=>1
[5,2,3,7,6,4,1]=>[2,3,7,5,6,1,4]=>{{1,2,3,4,5,6,7}}=>0
[5,2,4,1,3,6,7]=>[2,4,5,3,1,6,7]=>{{1,2,3,4,5},{6},{7}}=>0
[5,2,4,1,3,7,6]=>[2,4,5,3,1,7,6]=>{{1,2,3,4,5},{6,7}}=>0
[5,2,4,1,6,3,7]=>[2,4,6,3,5,1,7]=>{{1,2,3,4,6},{5},{7}}=>1
[5,2,4,1,6,7,3]=>[2,4,7,3,5,6,1]=>{{1,2,3,4,7},{5},{6}}=>2
[5,2,4,1,7,3,6]=>[2,4,7,3,5,1,6]=>{{1,2,3,4,6,7},{5}}=>2
[5,2,4,1,7,6,3]=>[2,4,6,3,5,7,1]=>{{1,2,3,4,6,7},{5}}=>2
[5,2,4,3,1,6,7]=>[2,4,5,1,3,6,7]=>{{1,2,4},{3,5},{6},{7}}=>0
[5,2,4,3,1,7,6]=>[2,4,5,1,3,7,6]=>{{1,2,4},{3,5},{6,7}}=>0
[5,2,4,3,6,1,7]=>[2,4,6,1,5,3,7]=>{{1,2,4},{3,6},{5},{7}}=>1
[5,2,4,3,6,7,1]=>[2,4,7,1,5,6,3]=>{{1,2,4},{3,7},{5},{6}}=>2
[5,2,4,3,7,1,6]=>[2,4,7,1,5,3,6]=>{{1,2,4},{3,6,7},{5}}=>2
[5,2,4,3,7,6,1]=>[2,4,6,1,5,7,3]=>{{1,2,4},{3,6,7},{5}}=>2
[5,2,4,6,1,3,7]=>[2,5,6,4,3,1,7]=>{{1,2,3,5,6},{4},{7}}=>2
[5,2,4,6,1,7,3]=>[2,5,7,4,3,6,1]=>{{1,2,3,5,7},{4},{6}}=>3
[5,2,4,6,3,1,7]=>[2,5,6,4,1,3,7]=>{{1,2,5},{3,6},{4},{7}}=>2
[5,2,4,6,3,7,1]=>[2,5,7,4,1,6,3]=>{{1,2,5},{3,7},{4},{6}}=>3
[5,2,4,6,7,1,3]=>[2,6,7,4,5,3,1]=>{{1,2,3,6,7},{4},{5}}=>4
[5,2,4,6,7,3,1]=>[2,6,7,4,5,1,3]=>{{1,2,6},{3,7},{4},{5}}=>4
[5,2,4,7,1,3,6]=>[2,5,7,4,3,1,6]=>{{1,2,3,5,6,7},{4}}=>3
[5,2,4,7,1,6,3]=>[2,5,6,4,3,7,1]=>{{1,2,3,5,6,7},{4}}=>3
[5,2,4,7,3,1,6]=>[2,5,7,4,1,3,6]=>{{1,2,5},{3,6,7},{4}}=>3
[5,2,4,7,3,6,1]=>[2,5,6,4,1,7,3]=>{{1,2,5},{3,6,7},{4}}=>3
[5,2,4,7,6,1,3]=>[2,5,7,4,6,3,1]=>{{1,2,3,5,6,7},{4}}=>3
[5,2,4,7,6,3,1]=>[2,5,7,4,6,1,3]=>{{1,2,5,6},{3,7},{4}}=>3
[5,2,6,1,3,4,7]=>[2,6,5,3,4,1,7]=>{{1,2,6},{3,4,5},{7}}=>1
[5,2,6,1,3,7,4]=>[2,7,5,3,4,6,1]=>{{1,2,7},{3,4,5},{6}}=>2
[5,2,6,1,4,3,7]=>[2,6,5,3,1,4,7]=>{{1,2,3,4,5,6},{7}}=>0
[5,2,6,1,4,7,3]=>[2,7,5,3,1,6,4]=>{{1,2,3,4,5,7},{6}}=>1
[5,2,6,1,7,3,4]=>[2,7,6,3,5,4,1]=>{{1,2,7},{3,4,6},{5}}=>3
[5,2,6,1,7,4,3]=>[2,7,6,3,5,1,4]=>{{1,2,3,4,6,7},{5}}=>2
[5,2,6,3,1,4,7]=>[2,6,5,1,4,3,7]=>{{1,2,3,4,5,6},{7}}=>0
[5,2,6,3,1,7,4]=>[2,7,5,1,4,6,3]=>{{1,2,3,4,5,7},{6}}=>1
[5,2,6,3,4,1,7]=>[2,6,5,1,3,4,7]=>{{1,2,4,6},{3,5},{7}}=>1
[5,2,6,3,4,7,1]=>[2,7,5,1,3,6,4]=>{{1,2,4,7},{3,5},{6}}=>2
[5,2,6,3,7,1,4]=>[2,7,6,1,5,4,3]=>{{1,2,3,4,6,7},{5}}=>2
[5,2,6,3,7,4,1]=>[2,7,6,1,5,3,4]=>{{1,2,4,7},{3,6},{5}}=>3
[5,2,6,4,1,3,7]=>[2,5,4,6,3,1,7]=>{{1,2,3,4,5,6},{7}}=>0
[5,2,6,4,1,7,3]=>[2,5,4,7,3,6,1]=>{{1,2,3,4,5,7},{6}}=>1
[5,2,6,4,3,1,7]=>[2,5,4,6,1,3,7]=>{{1,2,5},{3,4,6},{7}}=>0
[5,2,6,4,3,7,1]=>[2,5,4,7,1,6,3]=>{{1,2,5},{3,4,7},{6}}=>1
[5,2,6,4,7,1,3]=>[2,6,4,7,5,3,1]=>{{1,2,3,4,6,7},{5}}=>2
[5,2,6,4,7,3,1]=>[2,6,4,7,5,1,3]=>{{1,2,6},{3,4,7},{5}}=>2
[5,2,6,7,1,3,4]=>[2,7,6,5,4,3,1]=>{{1,2,7},{3,6},{4,5}}=>3
[5,2,6,7,1,4,3]=>[2,7,6,5,4,1,3]=>{{1,2,3,6,7},{4,5}}=>2
[5,2,6,7,3,1,4]=>[2,7,6,5,3,4,1]=>{{1,2,7},{3,4,5,6}}=>1
[5,2,6,7,3,4,1]=>[2,7,6,5,3,1,4]=>{{1,2,3,4,5,6,7}}=>0
[5,2,6,7,4,1,3]=>[2,7,6,5,1,4,3]=>{{1,2,3,4,5,6,7}}=>0
[5,2,6,7,4,3,1]=>[2,7,6,5,1,3,4]=>{{1,2,4,5,7},{3,6}}=>1
[5,2,7,1,3,4,6]=>[2,7,5,3,4,1,6]=>{{1,2,6,7},{3,4,5}}=>2
[5,2,7,1,3,6,4]=>[2,6,5,3,4,7,1]=>{{1,2,6,7},{3,4,5}}=>2
[5,2,7,1,4,3,6]=>[2,7,5,3,1,4,6]=>{{1,2,3,4,5,6,7}}=>0
[5,2,7,1,4,6,3]=>[2,6,5,3,1,7,4]=>{{1,2,3,4,5,6,7}}=>0
[5,2,7,1,6,3,4]=>[2,7,5,3,6,4,1]=>{{1,2,7},{3,4,5,6}}=>1
[5,2,7,1,6,4,3]=>[2,7,5,3,6,1,4]=>{{1,2,3,4,5,6,7}}=>0
[5,2,7,3,1,4,6]=>[2,7,5,1,4,3,6]=>{{1,2,3,4,5,6,7}}=>0
[5,2,7,3,1,6,4]=>[2,6,5,1,4,7,3]=>{{1,2,3,4,5,6,7}}=>0
[5,2,7,3,4,1,6]=>[2,7,5,1,3,4,6]=>{{1,2,4,6,7},{3,5}}=>2
[5,2,7,3,4,6,1]=>[2,6,5,1,3,7,4]=>{{1,2,4,6,7},{3,5}}=>2
[5,2,7,3,6,1,4]=>[2,7,5,1,6,4,3]=>{{1,2,3,4,5,6,7}}=>0
[5,2,7,3,6,4,1]=>[2,7,5,1,6,3,4]=>{{1,2,4,7},{3,5,6}}=>1
[5,2,7,4,1,3,6]=>[2,5,4,7,3,1,6]=>{{1,2,3,4,5,6,7}}=>0
[5,2,7,4,1,6,3]=>[2,5,4,6,3,7,1]=>{{1,2,3,4,5,6,7}}=>0
[5,2,7,4,3,1,6]=>[2,5,4,7,1,3,6]=>{{1,2,5},{3,4,6,7}}=>0
[5,2,7,4,3,6,1]=>[2,5,4,6,1,7,3]=>{{1,2,5},{3,4,6,7}}=>0
[5,2,7,4,6,1,3]=>[2,5,4,7,6,3,1]=>{{1,2,3,4,5,6,7}}=>0
[5,2,7,4,6,3,1]=>[2,5,4,7,6,1,3]=>{{1,2,5,6},{3,4,7}}=>0
[5,2,7,6,1,3,4]=>[2,7,5,6,4,3,1]=>{{1,2,7},{3,4,5,6}}=>1
[5,2,7,6,1,4,3]=>[2,7,5,6,4,1,3]=>{{1,2,3,4,5,6,7}}=>0
[5,2,7,6,3,1,4]=>[2,7,5,6,3,4,1]=>{{1,2,7},{3,5},{4,6}}=>2
[5,2,7,6,3,4,1]=>[2,7,5,6,3,1,4]=>{{1,2,4,6,7},{3,5}}=>2
[5,2,7,6,4,1,3]=>[2,7,5,6,1,4,3]=>{{1,2,3,5,7},{4,6}}=>1
[5,2,7,6,4,3,1]=>[2,7,5,6,1,3,4]=>{{1,2,3,4,5,6,7}}=>0
[5,3,1,2,4,6,7]=>[3,5,2,1,4,6,7]=>{{1,2,3,4,5},{6},{7}}=>0
[5,3,1,2,4,7,6]=>[3,5,2,1,4,7,6]=>{{1,2,3,4,5},{6,7}}=>0
[5,3,1,2,6,4,7]=>[3,6,2,1,5,4,7]=>{{1,2,3,4,6},{5},{7}}=>1
[5,3,1,2,6,7,4]=>[3,7,2,1,5,6,4]=>{{1,2,3,4,7},{5},{6}}=>2
[5,3,1,2,7,4,6]=>[3,7,2,1,5,4,6]=>{{1,2,3,4,6,7},{5}}=>2
[5,3,1,2,7,6,4]=>[3,6,2,1,5,7,4]=>{{1,2,3,4,6,7},{5}}=>2
[5,3,1,4,2,6,7]=>[3,4,2,5,1,6,7]=>{{1,2,3,4,5},{6},{7}}=>0
[5,3,1,4,2,7,6]=>[3,4,2,5,1,7,6]=>{{1,2,3,4,5},{6,7}}=>0
[5,3,1,4,6,2,7]=>[3,4,2,6,5,1,7]=>{{1,2,3,4,6},{5},{7}}=>1
[5,3,1,4,6,7,2]=>[3,4,2,7,5,6,1]=>{{1,2,3,4,7},{5},{6}}=>2
[5,3,1,4,7,2,6]=>[3,4,2,7,5,1,6]=>{{1,2,3,4,6,7},{5}}=>2
[5,3,1,4,7,6,2]=>[3,4,2,6,5,7,1]=>{{1,2,3,4,6,7},{5}}=>2
[5,3,1,6,2,4,7]=>[3,6,2,5,4,1,7]=>{{1,2,3,6},{4,5},{7}}=>1
[5,3,1,6,2,7,4]=>[3,7,2,5,4,6,1]=>{{1,2,3,7},{4,5},{6}}=>2
[5,3,1,6,4,2,7]=>[3,6,2,5,1,4,7]=>{{1,2,3,4,5,6},{7}}=>0
[5,3,1,6,4,7,2]=>[3,7,2,5,1,6,4]=>{{1,2,3,4,5,7},{6}}=>1
[5,3,1,6,7,2,4]=>[3,7,2,6,5,4,1]=>{{1,2,3,7},{4,6},{5}}=>3
[5,3,1,6,7,4,2]=>[3,7,2,6,5,1,4]=>{{1,2,3,4,6,7},{5}}=>2
[5,3,1,7,2,4,6]=>[3,7,2,5,4,1,6]=>{{1,2,3,6,7},{4,5}}=>2
[5,3,1,7,2,6,4]=>[3,6,2,5,4,7,1]=>{{1,2,3,6,7},{4,5}}=>2
[5,3,1,7,4,2,6]=>[3,7,2,5,1,4,6]=>{{1,2,3,4,5,6,7}}=>0
[5,3,1,7,4,6,2]=>[3,6,2,5,1,7,4]=>{{1,2,3,4,5,6,7}}=>0
[5,3,1,7,6,2,4]=>[3,7,2,5,6,4,1]=>{{1,2,3,7},{4,5,6}}=>1
[5,3,1,7,6,4,2]=>[3,7,2,5,6,1,4]=>{{1,2,3,4,5,6,7}}=>0
[5,3,2,1,4,6,7]=>[3,5,1,2,4,6,7]=>{{1,3},{2,4,5},{6},{7}}=>0
[5,3,2,1,4,7,6]=>[3,5,1,2,4,7,6]=>{{1,3},{2,4,5},{6,7}}=>0
[5,3,2,1,6,4,7]=>[3,6,1,2,5,4,7]=>{{1,3},{2,4,6},{5},{7}}=>1
[5,3,2,1,6,7,4]=>[3,7,1,2,5,6,4]=>{{1,3},{2,4,7},{5},{6}}=>2
[5,3,2,1,7,4,6]=>[3,7,1,2,5,4,6]=>{{1,3},{2,4,6,7},{5}}=>2
[5,3,2,1,7,6,4]=>[3,6,1,2,5,7,4]=>{{1,3},{2,4,6,7},{5}}=>2
[5,3,2,4,1,6,7]=>[3,4,1,5,2,6,7]=>{{1,3},{2,4,5},{6},{7}}=>0
[5,3,2,4,1,7,6]=>[3,4,1,5,2,7,6]=>{{1,3},{2,4,5},{6,7}}=>0
[5,3,2,4,6,1,7]=>[3,4,1,6,5,2,7]=>{{1,3},{2,4,6},{5},{7}}=>1
[5,3,2,4,6,7,1]=>[3,4,1,7,5,6,2]=>{{1,3},{2,4,7},{5},{6}}=>2
[5,3,2,4,7,1,6]=>[3,4,1,7,5,2,6]=>{{1,3},{2,4,6,7},{5}}=>2
[5,3,2,4,7,6,1]=>[3,4,1,6,5,7,2]=>{{1,3},{2,4,6,7},{5}}=>2
[5,3,2,6,1,4,7]=>[3,6,1,5,4,2,7]=>{{1,3},{2,6},{4,5},{7}}=>1
[5,3,2,6,1,7,4]=>[3,7,1,5,4,6,2]=>{{1,3},{2,7},{4,5},{6}}=>2
[5,3,2,6,4,1,7]=>[3,6,1,5,2,4,7]=>{{1,3},{2,4,5,6},{7}}=>0
[5,3,2,6,4,7,1]=>[3,7,1,5,2,6,4]=>{{1,3},{2,4,5,7},{6}}=>1
[5,3,2,6,7,1,4]=>[3,7,1,6,5,4,2]=>{{1,3},{2,7},{4,6},{5}}=>3
[5,3,2,6,7,4,1]=>[3,7,1,6,5,2,4]=>{{1,3},{2,4,6,7},{5}}=>2
[5,3,2,7,1,4,6]=>[3,7,1,5,4,2,6]=>{{1,3},{2,6,7},{4,5}}=>2
[5,3,2,7,1,6,4]=>[3,6,1,5,4,7,2]=>{{1,3},{2,6,7},{4,5}}=>2
[5,3,2,7,4,1,6]=>[3,7,1,5,2,4,6]=>{{1,3},{2,4,5,6,7}}=>0
[5,3,2,7,4,6,1]=>[3,6,1,5,2,7,4]=>{{1,3},{2,4,5,6,7}}=>0
[5,3,2,7,6,1,4]=>[3,7,1,5,6,4,2]=>{{1,3},{2,7},{4,5,6}}=>1
[5,3,2,7,6,4,1]=>[3,7,1,5,6,2,4]=>{{1,3},{2,4,5,6,7}}=>0
[5,3,4,1,2,6,7]=>[3,5,4,2,1,6,7]=>{{1,2,3,4,5},{6},{7}}=>0
[5,3,4,1,2,7,6]=>[3,5,4,2,1,7,6]=>{{1,2,3,4,5},{6,7}}=>0
[5,3,4,1,6,2,7]=>[3,6,4,2,5,1,7]=>{{1,2,3,4,6},{5},{7}}=>1
[5,3,4,1,6,7,2]=>[3,7,4,2,5,6,1]=>{{1,2,3,4,7},{5},{6}}=>2
[5,3,4,1,7,2,6]=>[3,7,4,2,5,1,6]=>{{1,2,3,4,6,7},{5}}=>2
[5,3,4,1,7,6,2]=>[3,6,4,2,5,7,1]=>{{1,2,3,4,6,7},{5}}=>2
[5,3,4,2,1,6,7]=>[3,5,4,1,2,6,7]=>{{1,3,4},{2,5},{6},{7}}=>0
[5,3,4,2,1,7,6]=>[3,5,4,1,2,7,6]=>{{1,3,4},{2,5},{6,7}}=>0
[5,3,4,2,6,1,7]=>[3,6,4,1,5,2,7]=>{{1,3,4},{2,6},{5},{7}}=>1
[5,3,4,2,6,7,1]=>[3,7,4,1,5,6,2]=>{{1,3,4},{2,7},{5},{6}}=>2
[5,3,4,2,7,1,6]=>[3,7,4,1,5,2,6]=>{{1,3,4},{2,6,7},{5}}=>2
[5,3,4,2,7,6,1]=>[3,6,4,1,5,7,2]=>{{1,3,4},{2,6,7},{5}}=>2
[5,3,4,6,1,2,7]=>[3,6,5,4,2,1,7]=>{{1,2,3,5,6},{4},{7}}=>2
[5,3,4,6,1,7,2]=>[3,7,5,4,2,6,1]=>{{1,2,3,5,7},{4},{6}}=>3
[5,3,4,6,2,1,7]=>[3,6,5,4,1,2,7]=>{{1,3,5},{2,6},{4},{7}}=>2
[5,3,4,6,2,7,1]=>[3,7,5,4,1,6,2]=>{{1,3,5},{2,7},{4},{6}}=>3
[5,3,4,6,7,1,2]=>[3,7,6,4,5,2,1]=>{{1,2,3,6,7},{4},{5}}=>4
[5,3,4,6,7,2,1]=>[3,7,6,4,5,1,2]=>{{1,3,6},{2,7},{4},{5}}=>4
[5,3,4,7,1,2,6]=>[3,7,5,4,2,1,6]=>{{1,2,3,5,6,7},{4}}=>3
[5,3,4,7,1,6,2]=>[3,6,5,4,2,7,1]=>{{1,2,3,5,6,7},{4}}=>3
[5,3,4,7,2,1,6]=>[3,7,5,4,1,2,6]=>{{1,3,5},{2,6,7},{4}}=>3
[5,3,4,7,2,6,1]=>[3,6,5,4,1,7,2]=>{{1,3,5},{2,6,7},{4}}=>3
[5,3,4,7,6,1,2]=>[3,7,5,4,6,2,1]=>{{1,2,3,5,6,7},{4}}=>3
[5,3,4,7,6,2,1]=>[3,7,5,4,6,1,2]=>{{1,3,5,6},{2,7},{4}}=>3
[5,3,6,1,2,4,7]=>[5,6,3,2,4,1,7]=>{{1,2,4,5,6},{3},{7}}=>3
[5,3,6,1,2,7,4]=>[5,7,3,2,4,6,1]=>{{1,2,4,5,7},{3},{6}}=>4
[5,3,6,1,4,2,7]=>[5,6,3,2,1,4,7]=>{{1,5},{2,4,6},{3},{7}}=>3
[5,3,6,1,4,7,2]=>[5,7,3,2,1,6,4]=>{{1,5},{2,4,7},{3},{6}}=>4
[5,3,6,1,7,2,4]=>[6,7,3,2,5,4,1]=>{{1,2,4,6,7},{3},{5}}=>5
[5,3,6,1,7,4,2]=>[6,7,3,2,5,1,4]=>{{1,6},{2,4,7},{3},{5}}=>5
[5,3,6,2,1,4,7]=>[5,6,3,1,4,2,7]=>{{1,4,5},{2,6},{3},{7}}=>3
[5,3,6,2,1,7,4]=>[5,7,3,1,4,6,2]=>{{1,4,5},{2,7},{3},{6}}=>4
[5,3,6,2,4,1,7]=>[5,6,3,1,2,4,7]=>{{1,2,4,5,6},{3},{7}}=>3
[5,3,6,2,4,7,1]=>[5,7,3,1,2,6,4]=>{{1,2,4,5,7},{3},{6}}=>4
[5,3,6,2,7,1,4]=>[6,7,3,1,5,4,2]=>{{1,4,6},{2,7},{3},{5}}=>5
[5,3,6,2,7,4,1]=>[6,7,3,1,5,2,4]=>{{1,2,4,6,7},{3},{5}}=>5
[5,3,6,4,1,2,7]=>[4,5,3,6,2,1,7]=>{{1,4,6},{2,5},{3},{7}}=>4
[5,3,6,4,1,7,2]=>[4,5,3,7,2,6,1]=>{{1,4,7},{2,5},{3},{6}}=>5
[5,3,6,4,2,1,7]=>[4,5,3,6,1,2,7]=>{{1,2,4,5,6},{3},{7}}=>3
[5,3,6,4,2,7,1]=>[4,5,3,7,1,6,2]=>{{1,2,4,5,7},{3},{6}}=>4
[5,3,6,4,7,1,2]=>[4,6,3,7,5,2,1]=>{{1,4,7},{2,6},{3},{5}}=>6
[5,3,6,4,7,2,1]=>[4,6,3,7,5,1,2]=>{{1,2,4,6,7},{3},{5}}=>5
[5,3,6,7,1,2,4]=>[6,7,3,5,4,2,1]=>{{1,2,6,7},{3},{4,5}}=>4
[5,3,6,7,1,4,2]=>[6,7,3,5,4,1,2]=>{{1,6},{2,7},{3},{4,5}}=>4
[5,3,6,7,2,1,4]=>[6,7,3,5,2,4,1]=>{{1,2,4,5,6,7},{3}}=>4
[5,3,6,7,2,4,1]=>[6,7,3,5,2,1,4]=>{{1,6},{2,4,5,7},{3}}=>4
[5,3,6,7,4,1,2]=>[6,7,3,5,1,4,2]=>{{1,4,5,6},{2,7},{3}}=>4
[5,3,6,7,4,2,1]=>[6,7,3,5,1,2,4]=>{{1,2,4,5,6,7},{3}}=>4
[5,3,7,1,2,4,6]=>[5,7,3,2,4,1,6]=>{{1,2,4,5,6,7},{3}}=>4
[5,3,7,1,2,6,4]=>[5,6,3,2,4,7,1]=>{{1,2,4,5,6,7},{3}}=>4
[5,3,7,1,4,2,6]=>[5,7,3,2,1,4,6]=>{{1,5},{2,4,6,7},{3}}=>4
[5,3,7,1,4,6,2]=>[5,6,3,2,1,7,4]=>{{1,5},{2,4,6,7},{3}}=>4
[5,3,7,1,6,2,4]=>[5,7,3,2,6,4,1]=>{{1,2,4,5,6,7},{3}}=>4
[5,3,7,1,6,4,2]=>[5,7,3,2,6,1,4]=>{{1,5,6},{2,4,7},{3}}=>4
[5,3,7,2,1,4,6]=>[5,7,3,1,4,2,6]=>{{1,4,5},{2,6,7},{3}}=>4
[5,3,7,2,1,6,4]=>[5,6,3,1,4,7,2]=>{{1,4,5},{2,6,7},{3}}=>4
[5,3,7,2,4,1,6]=>[5,7,3,1,2,4,6]=>{{1,2,4,5,6,7},{3}}=>4
[5,3,7,2,4,6,1]=>[5,6,3,1,2,7,4]=>{{1,2,4,5,6,7},{3}}=>4
[5,3,7,2,6,1,4]=>[5,7,3,1,6,4,2]=>{{1,4,5,6},{2,7},{3}}=>4
[5,3,7,2,6,4,1]=>[5,7,3,1,6,2,4]=>{{1,2,4,5,6,7},{3}}=>4
[5,3,7,4,1,2,6]=>[4,5,3,7,2,1,6]=>{{1,4,6,7},{2,5},{3}}=>6
[5,3,7,4,1,6,2]=>[4,5,3,6,2,7,1]=>{{1,4,6,7},{2,5},{3}}=>6
[5,3,7,4,2,1,6]=>[4,5,3,7,1,2,6]=>{{1,2,4,5,6,7},{3}}=>4
[5,3,7,4,2,6,1]=>[4,5,3,6,1,7,2]=>{{1,2,4,5,6,7},{3}}=>4
[5,3,7,4,6,1,2]=>[4,5,3,7,6,2,1]=>{{1,4,7},{2,5,6},{3}}=>5
[5,3,7,4,6,2,1]=>[4,5,3,7,6,1,2]=>{{1,2,4,5,6,7},{3}}=>4
[5,3,7,6,1,2,4]=>[5,7,3,6,4,2,1]=>{{1,2,4,5,6,7},{3}}=>4
[5,3,7,6,1,4,2]=>[5,7,3,6,4,1,2]=>{{1,4,5,6},{2,7},{3}}=>4
[5,3,7,6,2,1,4]=>[5,7,3,6,2,4,1]=>{{1,2,5,7},{3},{4,6}}=>3
[5,3,7,6,2,4,1]=>[5,7,3,6,2,1,4]=>{{1,2,4,5,6,7},{3}}=>4
[5,3,7,6,4,1,2]=>[5,7,3,6,1,4,2]=>{{1,5},{2,7},{3},{4,6}}=>3
[5,3,7,6,4,2,1]=>[5,7,3,6,1,2,4]=>{{1,5},{2,4,6,7},{3}}=>4
[5,4,1,2,3,6,7]=>[4,5,2,3,1,6,7]=>{{1,2,3,4,5},{6},{7}}=>0
[5,4,1,2,3,7,6]=>[4,5,2,3,1,7,6]=>{{1,2,3,4,5},{6,7}}=>0
[5,4,1,2,6,3,7]=>[4,6,2,3,5,1,7]=>{{1,2,3,4,6},{5},{7}}=>1
[5,4,1,2,6,7,3]=>[4,7,2,3,5,6,1]=>{{1,2,3,4,7},{5},{6}}=>2
[5,4,1,2,7,3,6]=>[4,7,2,3,5,1,6]=>{{1,2,3,4,6,7},{5}}=>2
[5,4,1,2,7,6,3]=>[4,6,2,3,5,7,1]=>{{1,2,3,4,6,7},{5}}=>2
[5,4,1,3,2,6,7]=>[4,5,2,1,3,6,7]=>{{1,4},{2,3,5},{6},{7}}=>0
[5,4,1,3,2,7,6]=>[4,5,2,1,3,7,6]=>{{1,4},{2,3,5},{6,7}}=>0
[5,4,1,3,6,2,7]=>[4,6,2,1,5,3,7]=>{{1,4},{2,3,6},{5},{7}}=>1
[5,4,1,3,6,7,2]=>[4,7,2,1,5,6,3]=>{{1,4},{2,3,7},{5},{6}}=>2
[5,4,1,3,7,2,6]=>[4,7,2,1,5,3,6]=>{{1,4},{2,3,6,7},{5}}=>2
[5,4,1,3,7,6,2]=>[4,6,2,1,5,7,3]=>{{1,4},{2,3,6,7},{5}}=>2
[5,4,1,6,2,3,7]=>[5,6,2,4,3,1,7]=>{{1,2,3,5,6},{4},{7}}=>2
[5,4,1,6,2,7,3]=>[5,7,2,4,3,6,1]=>{{1,2,3,5,7},{4},{6}}=>3
[5,4,1,6,3,2,7]=>[5,6,2,4,1,3,7]=>{{1,5},{2,3,6},{4},{7}}=>2
[5,4,1,6,3,7,2]=>[5,7,2,4,1,6,3]=>{{1,5},{2,3,7},{4},{6}}=>3
[5,4,1,6,7,2,3]=>[6,7,2,4,5,3,1]=>{{1,2,3,6,7},{4},{5}}=>4
[5,4,1,6,7,3,2]=>[6,7,2,4,5,1,3]=>{{1,6},{2,3,7},{4},{5}}=>4
[5,4,1,7,2,3,6]=>[5,7,2,4,3,1,6]=>{{1,2,3,5,6,7},{4}}=>3
[5,4,1,7,2,6,3]=>[5,6,2,4,3,7,1]=>{{1,2,3,5,6,7},{4}}=>3
[5,4,1,7,3,2,6]=>[5,7,2,4,1,3,6]=>{{1,5},{2,3,6,7},{4}}=>3
[5,4,1,7,3,6,2]=>[5,6,2,4,1,7,3]=>{{1,5},{2,3,6,7},{4}}=>3
[5,4,1,7,6,2,3]=>[5,7,2,4,6,3,1]=>{{1,2,3,5,6,7},{4}}=>3
[5,4,1,7,6,3,2]=>[5,7,2,4,6,1,3]=>{{1,5,6},{2,3,7},{4}}=>3
[5,4,2,1,3,6,7]=>[4,5,1,3,2,6,7]=>{{1,3,4},{2,5},{6},{7}}=>0
[5,4,2,1,3,7,6]=>[4,5,1,3,2,7,6]=>{{1,3,4},{2,5},{6,7}}=>0
[5,4,2,1,6,3,7]=>[4,6,1,3,5,2,7]=>{{1,3,4},{2,6},{5},{7}}=>1
[5,4,2,1,6,7,3]=>[4,7,1,3,5,6,2]=>{{1,3,4},{2,7},{5},{6}}=>2
[5,4,2,1,7,3,6]=>[4,7,1,3,5,2,6]=>{{1,3,4},{2,6,7},{5}}=>2
[5,4,2,1,7,6,3]=>[4,6,1,3,5,7,2]=>{{1,3,4},{2,6,7},{5}}=>2
[5,4,2,3,1,6,7]=>[4,5,1,2,3,6,7]=>{{1,2,3,4,5},{6},{7}}=>0
[5,4,2,3,1,7,6]=>[4,5,1,2,3,7,6]=>{{1,2,3,4,5},{6,7}}=>0
[5,4,2,3,6,1,7]=>[4,6,1,2,5,3,7]=>{{1,2,3,4,6},{5},{7}}=>1
[5,4,2,3,6,7,1]=>[4,7,1,2,5,6,3]=>{{1,2,3,4,7},{5},{6}}=>2
[5,4,2,3,7,1,6]=>[4,7,1,2,5,3,6]=>{{1,2,3,4,6,7},{5}}=>2
[5,4,2,3,7,6,1]=>[4,6,1,2,5,7,3]=>{{1,2,3,4,6,7},{5}}=>2
[5,4,2,6,1,3,7]=>[5,6,1,4,3,2,7]=>{{1,3,5},{2,6},{4},{7}}=>2
[5,4,2,6,1,7,3]=>[5,7,1,4,3,6,2]=>{{1,3,5},{2,7},{4},{6}}=>3
[5,4,2,6,3,1,7]=>[5,6,1,4,2,3,7]=>{{1,2,3,5,6},{4},{7}}=>2
[5,4,2,6,3,7,1]=>[5,7,1,4,2,6,3]=>{{1,2,3,5,7},{4},{6}}=>3
[5,4,2,6,7,1,3]=>[6,7,1,4,5,3,2]=>{{1,3,6},{2,7},{4},{5}}=>4
[5,4,2,6,7,3,1]=>[6,7,1,4,5,2,3]=>{{1,2,3,6,7},{4},{5}}=>4
[5,4,2,7,1,3,6]=>[5,7,1,4,3,2,6]=>{{1,3,5},{2,6,7},{4}}=>3
[5,4,2,7,1,6,3]=>[5,6,1,4,3,7,2]=>{{1,3,5},{2,6,7},{4}}=>3
[5,4,2,7,3,1,6]=>[5,7,1,4,2,3,6]=>{{1,2,3,5,6,7},{4}}=>3
[5,4,2,7,3,6,1]=>[5,6,1,4,2,7,3]=>{{1,2,3,5,6,7},{4}}=>3
[5,4,2,7,6,1,3]=>[5,7,1,4,6,3,2]=>{{1,3,5,6},{2,7},{4}}=>3
[5,4,2,7,6,3,1]=>[5,7,1,4,6,2,3]=>{{1,2,3,5,6,7},{4}}=>3
[5,4,3,1,2,6,7]=>[3,4,5,2,1,6,7]=>{{1,3,5},{2,4},{6},{7}}=>1
[5,4,3,1,2,7,6]=>[3,4,5,2,1,7,6]=>{{1,3,5},{2,4},{6,7}}=>1
[5,4,3,1,6,2,7]=>[3,4,6,2,5,1,7]=>{{1,3,6},{2,4},{5},{7}}=>2
[5,4,3,1,6,7,2]=>[3,4,7,2,5,6,1]=>{{1,3,7},{2,4},{5},{6}}=>3
[5,4,3,1,7,2,6]=>[3,4,7,2,5,1,6]=>{{1,3,6,7},{2,4},{5}}=>4
[5,4,3,1,7,6,2]=>[3,4,6,2,5,7,1]=>{{1,3,6,7},{2,4},{5}}=>4
[5,4,3,2,1,6,7]=>[3,4,5,1,2,6,7]=>{{1,2,3,4,5},{6},{7}}=>0
[5,4,3,2,1,7,6]=>[3,4,5,1,2,7,6]=>{{1,2,3,4,5},{6,7}}=>0
[5,4,3,2,6,1,7]=>[3,4,6,1,5,2,7]=>{{1,2,3,4,6},{5},{7}}=>1
[5,4,3,2,6,7,1]=>[3,4,7,1,5,6,2]=>{{1,2,3,4,7},{5},{6}}=>2
[5,4,3,2,7,1,6]=>[3,4,7,1,5,2,6]=>{{1,2,3,4,6,7},{5}}=>2
[5,4,3,2,7,6,1]=>[3,4,6,1,5,7,2]=>{{1,2,3,4,6,7},{5}}=>2
[5,4,3,6,1,2,7]=>[3,5,6,4,2,1,7]=>{{1,3,6},{2,5},{4},{7}}=>3
[5,4,3,6,1,7,2]=>[3,5,7,4,2,6,1]=>{{1,3,7},{2,5},{4},{6}}=>4
[5,4,3,6,2,1,7]=>[3,5,6,4,1,2,7]=>{{1,2,3,5,6},{4},{7}}=>2
[5,4,3,6,2,7,1]=>[3,5,7,4,1,6,2]=>{{1,2,3,5,7},{4},{6}}=>3
[5,4,3,6,7,1,2]=>[3,6,7,4,5,2,1]=>{{1,3,7},{2,6},{4},{5}}=>5
[5,4,3,6,7,2,1]=>[3,6,7,4,5,1,2]=>{{1,2,3,6,7},{4},{5}}=>4
[5,4,3,7,1,2,6]=>[3,5,7,4,2,1,6]=>{{1,3,6,7},{2,5},{4}}=>5
[5,4,3,7,1,6,2]=>[3,5,6,4,2,7,1]=>{{1,3,6,7},{2,5},{4}}=>5
[5,4,3,7,2,1,6]=>[3,5,7,4,1,2,6]=>{{1,2,3,5,6,7},{4}}=>3
[5,4,3,7,2,6,1]=>[3,5,6,4,1,7,2]=>{{1,2,3,5,6,7},{4}}=>3
[5,4,3,7,6,1,2]=>[3,5,7,4,6,2,1]=>{{1,3,7},{2,5,6},{4}}=>4
[5,4,3,7,6,2,1]=>[3,5,7,4,6,1,2]=>{{1,2,3,5,6,7},{4}}=>3
[5,4,6,1,2,3,7]=>[5,6,4,3,2,1,7]=>{{1,2,5,6},{3,4},{7}}=>2
[5,4,6,1,2,7,3]=>[5,7,4,3,2,6,1]=>{{1,2,5,7},{3,4},{6}}=>3
[5,4,6,1,3,2,7]=>[5,6,4,3,1,2,7]=>{{1,5},{2,6},{3,4},{7}}=>2
[5,4,6,1,3,7,2]=>[5,7,4,3,1,6,2]=>{{1,5},{2,7},{3,4},{6}}=>3
[5,4,6,1,7,2,3]=>[6,7,4,3,5,2,1]=>{{1,2,6,7},{3,4},{5}}=>4
[5,4,6,1,7,3,2]=>[6,7,4,3,5,1,2]=>{{1,6},{2,7},{3,4},{5}}=>4
[5,4,6,2,1,3,7]=>[5,6,4,2,3,1,7]=>{{1,2,3,4,5,6},{7}}=>0
[5,4,6,2,1,7,3]=>[5,7,4,2,3,6,1]=>{{1,2,3,4,5,7},{6}}=>1
[5,4,6,2,3,1,7]=>[5,6,4,2,1,3,7]=>{{1,5},{2,3,4,6},{7}}=>0
[5,4,6,2,3,7,1]=>[5,7,4,2,1,6,3]=>{{1,5},{2,3,4,7},{6}}=>1
[5,4,6,2,7,1,3]=>[6,7,4,2,5,3,1]=>{{1,2,3,4,6,7},{5}}=>2
[5,4,6,2,7,3,1]=>[6,7,4,2,5,1,3]=>{{1,6},{2,3,4,7},{5}}=>2
[5,4,6,3,1,2,7]=>[5,6,4,1,3,2,7]=>{{1,3,4,5},{2,6},{7}}=>0
[5,4,6,3,1,7,2]=>[5,7,4,1,3,6,2]=>{{1,3,4,5},{2,7},{6}}=>1
[5,4,6,3,2,1,7]=>[5,6,4,1,2,3,7]=>{{1,2,3,4,5,6},{7}}=>0
[5,4,6,3,2,7,1]=>[5,7,4,1,2,6,3]=>{{1,2,3,4,5,7},{6}}=>1
[5,4,6,3,7,1,2]=>[6,7,4,1,5,3,2]=>{{1,3,4,6},{2,7},{5}}=>2
[5,4,6,3,7,2,1]=>[6,7,4,1,5,2,3]=>{{1,2,3,4,6,7},{5}}=>2
[5,4,6,7,1,2,3]=>[6,7,5,4,3,2,1]=>{{1,2,6,7},{3,5},{4}}=>5
[5,4,6,7,1,3,2]=>[6,7,5,4,3,1,2]=>{{1,6},{2,7},{3,5},{4}}=>5
[5,4,6,7,2,1,3]=>[6,7,5,4,2,3,1]=>{{1,2,3,5,6,7},{4}}=>3
[5,4,6,7,2,3,1]=>[6,7,5,4,2,1,3]=>{{1,6},{2,3,5,7},{4}}=>3
[5,4,6,7,3,1,2]=>[6,7,5,4,1,3,2]=>{{1,3,5,6},{2,7},{4}}=>3
[5,4,6,7,3,2,1]=>[6,7,5,4,1,2,3]=>{{1,2,3,5,6,7},{4}}=>3
[5,4,7,1,2,3,6]=>[5,7,4,3,2,1,6]=>{{1,2,5,6,7},{3,4}}=>3
[5,4,7,1,2,6,3]=>[5,6,4,3,2,7,1]=>{{1,2,5,6,7},{3,4}}=>3
[5,4,7,1,3,2,6]=>[5,7,4,3,1,2,6]=>{{1,5},{2,6,7},{3,4}}=>3
[5,4,7,1,3,6,2]=>[5,6,4,3,1,7,2]=>{{1,5},{2,6,7},{3,4}}=>3
[5,4,7,1,6,2,3]=>[5,7,4,3,6,2,1]=>{{1,2,5,6,7},{3,4}}=>3
[5,4,7,1,6,3,2]=>[5,7,4,3,6,1,2]=>{{1,5,6},{2,7},{3,4}}=>3
[5,4,7,2,1,3,6]=>[5,7,4,2,3,1,6]=>{{1,2,3,4,5,6,7}}=>0
[5,4,7,2,1,6,3]=>[5,6,4,2,3,7,1]=>{{1,2,3,4,5,6,7}}=>0
[5,4,7,2,3,1,6]=>[5,7,4,2,1,3,6]=>{{1,5},{2,3,4,6,7}}=>0
[5,4,7,2,3,6,1]=>[5,6,4,2,1,7,3]=>{{1,5},{2,3,4,6,7}}=>0
[5,4,7,2,6,1,3]=>[5,7,4,2,6,3,1]=>{{1,2,3,4,5,6,7}}=>0
[5,4,7,2,6,3,1]=>[5,7,4,2,6,1,3]=>{{1,5,6},{2,3,4,7}}=>0
[5,4,7,3,1,2,6]=>[5,7,4,1,3,2,6]=>{{1,3,4,5},{2,6,7}}=>0
[5,4,7,3,1,6,2]=>[5,6,4,1,3,7,2]=>{{1,3,4,5},{2,6,7}}=>0
[5,4,7,3,2,1,6]=>[5,7,4,1,2,3,6]=>{{1,2,3,4,5,6,7}}=>0
[5,4,7,3,2,6,1]=>[5,6,4,1,2,7,3]=>{{1,2,3,4,5,6,7}}=>0
[5,4,7,3,6,1,2]=>[5,7,4,1,6,3,2]=>{{1,3,4,5,6},{2,7}}=>0
[5,4,7,3,6,2,1]=>[5,7,4,1,6,2,3]=>{{1,2,3,4,5,6,7}}=>0
[5,4,7,6,1,2,3]=>[6,7,4,5,3,2,1]=>{{1,2,6,7},{3,4,5}}=>2
[5,4,7,6,1,3,2]=>[6,7,4,5,3,1,2]=>{{1,6},{2,7},{3,4,5}}=>2
[5,4,7,6,2,1,3]=>[6,7,4,5,2,3,1]=>{{1,2,3,4,5,6,7}}=>0
[5,4,7,6,2,3,1]=>[6,7,4,5,2,1,3]=>{{1,6},{2,3,4,5,7}}=>0
[5,4,7,6,3,1,2]=>[6,7,4,5,1,3,2]=>{{1,3,4,5,6},{2,7}}=>0
[5,4,7,6,3,2,1]=>[6,7,4,5,1,2,3]=>{{1,2,3,4,5,6,7}}=>0
[5,6,1,2,3,4,7]=>[6,5,2,3,4,1,7]=>{{1,6},{2,3,4,5},{7}}=>1
[5,6,1,2,3,7,4]=>[7,5,2,3,4,6,1]=>{{1,7},{2,3,4,5},{6}}=>2
[5,6,1,2,4,3,7]=>[6,5,2,3,1,4,7]=>{{1,2,3,4,5,6},{7}}=>0
[5,6,1,2,4,7,3]=>[7,5,2,3,1,6,4]=>{{1,2,3,4,5,7},{6}}=>1
[5,6,1,2,7,3,4]=>[7,6,2,3,5,4,1]=>{{1,7},{2,3,4,6},{5}}=>3
[5,6,1,2,7,4,3]=>[7,6,2,3,5,1,4]=>{{1,2,3,4,6,7},{5}}=>2
[5,6,1,3,2,4,7]=>[6,5,2,1,4,3,7]=>{{1,2,3,4,5,6},{7}}=>0
[5,6,1,3,2,7,4]=>[7,5,2,1,4,6,3]=>{{1,2,3,4,5,7},{6}}=>1
[5,6,1,3,4,2,7]=>[6,5,2,1,3,4,7]=>{{1,4,6},{2,3,5},{7}}=>1
[5,6,1,3,4,7,2]=>[7,5,2,1,3,6,4]=>{{1,4,7},{2,3,5},{6}}=>2
[5,6,1,3,7,2,4]=>[7,6,2,1,5,4,3]=>{{1,2,3,4,6,7},{5}}=>2
[5,6,1,3,7,4,2]=>[7,6,2,1,5,3,4]=>{{1,4,7},{2,3,6},{5}}=>3
[5,6,1,4,2,3,7]=>[5,4,2,6,3,1,7]=>{{1,2,3,4,5,6},{7}}=>0
[5,6,1,4,2,7,3]=>[5,4,2,7,3,6,1]=>{{1,2,3,4,5,7},{6}}=>1
[5,6,1,4,3,2,7]=>[5,4,2,6,1,3,7]=>{{1,5},{2,3,4,6},{7}}=>0
[5,6,1,4,3,7,2]=>[5,4,2,7,1,6,3]=>{{1,5},{2,3,4,7},{6}}=>1
[5,6,1,4,7,2,3]=>[6,4,2,7,5,3,1]=>{{1,2,3,4,6,7},{5}}=>2
[5,6,1,4,7,3,2]=>[6,4,2,7,5,1,3]=>{{1,6},{2,3,4,7},{5}}=>2
[5,6,1,7,2,3,4]=>[7,6,2,5,4,3,1]=>{{1,7},{2,3,6},{4,5}}=>3
[5,6,1,7,2,4,3]=>[7,6,2,5,4,1,3]=>{{1,2,3,6,7},{4,5}}=>2
[5,6,1,7,3,2,4]=>[7,6,2,5,3,4,1]=>{{1,7},{2,3,4,5,6}}=>1
[5,6,1,7,3,4,2]=>[7,6,2,5,3,1,4]=>{{1,2,3,4,5,6,7}}=>0
[5,6,1,7,4,2,3]=>[7,6,2,5,1,4,3]=>{{1,2,3,4,5,6,7}}=>0
[5,6,1,7,4,3,2]=>[7,6,2,5,1,3,4]=>{{1,4,5,7},{2,3,6}}=>1
[5,6,2,1,3,4,7]=>[6,5,1,3,4,2,7]=>{{1,2,3,4,5,6},{7}}=>0
[5,6,2,1,3,7,4]=>[7,5,1,3,4,6,2]=>{{1,2,3,4,5,7},{6}}=>1
[5,6,2,1,4,3,7]=>[6,5,1,3,2,4,7]=>{{1,3,4,6},{2,5},{7}}=>1
[5,6,2,1,4,7,3]=>[7,5,1,3,2,6,4]=>{{1,3,4,7},{2,5},{6}}=>2
[5,6,2,1,7,3,4]=>[7,6,1,3,5,4,2]=>{{1,2,3,4,6,7},{5}}=>2
[5,6,2,1,7,4,3]=>[7,6,1,3,5,2,4]=>{{1,3,4,7},{2,6},{5}}=>3
[5,6,2,3,1,4,7]=>[6,5,1,2,4,3,7]=>{{1,3,6},{2,4,5},{7}}=>1
[5,6,2,3,1,7,4]=>[7,5,1,2,4,6,3]=>{{1,3,7},{2,4,5},{6}}=>2
[5,6,2,3,4,1,7]=>[6,5,1,2,3,4,7]=>{{1,2,3,4,5,6},{7}}=>0
[5,6,2,3,4,7,1]=>[7,5,1,2,3,6,4]=>{{1,2,3,4,5,7},{6}}=>1
[5,6,2,3,7,1,4]=>[7,6,1,2,5,4,3]=>{{1,3,7},{2,4,6},{5}}=>3
[5,6,2,3,7,4,1]=>[7,6,1,2,5,3,4]=>{{1,2,3,4,6,7},{5}}=>2
[5,6,2,4,1,3,7]=>[5,4,1,6,3,2,7]=>{{1,3,5},{2,4,6},{7}}=>0
[5,6,2,4,1,7,3]=>[5,4,1,7,3,6,2]=>{{1,3,5},{2,4,7},{6}}=>1
[5,6,2,4,3,1,7]=>[5,4,1,6,2,3,7]=>{{1,2,3,4,5,6},{7}}=>0
[5,6,2,4,3,7,1]=>[5,4,1,7,2,6,3]=>{{1,2,3,4,5,7},{6}}=>1
[5,6,2,4,7,1,3]=>[6,4,1,7,5,3,2]=>{{1,3,6},{2,4,7},{5}}=>2
[5,6,2,4,7,3,1]=>[6,4,1,7,5,2,3]=>{{1,2,3,4,6,7},{5}}=>2
[5,6,2,7,1,3,4]=>[7,6,1,5,4,3,2]=>{{1,2,3,6,7},{4,5}}=>2
[5,6,2,7,1,4,3]=>[7,6,1,5,4,2,3]=>{{1,3,7},{2,6},{4,5}}=>3
[5,6,2,7,3,1,4]=>[7,6,1,5,3,4,2]=>{{1,2,3,4,5,6,7}}=>0
[5,6,2,7,3,4,1]=>[7,6,1,5,3,2,4]=>{{1,3,4,5,7},{2,6}}=>1
[5,6,2,7,4,1,3]=>[7,6,1,5,2,4,3]=>{{1,3,7},{2,4,5,6}}=>1
[5,6,2,7,4,3,1]=>[7,6,1,5,2,3,4]=>{{1,2,3,4,5,6,7}}=>0
[5,6,3,1,2,4,7]=>[5,3,6,2,4,1,7]=>{{1,2,3,4,5,6},{7}}=>0
[5,6,3,1,2,7,4]=>[5,3,7,2,4,6,1]=>{{1,2,3,4,5,7},{6}}=>1
[5,6,3,1,4,2,7]=>[5,3,6,2,1,4,7]=>{{1,5},{2,3,4,6},{7}}=>0
[5,6,3,1,4,7,2]=>[5,3,7,2,1,6,4]=>{{1,5},{2,3,4,7},{6}}=>1
[5,6,3,1,7,2,4]=>[6,3,7,2,5,4,1]=>{{1,2,3,4,6,7},{5}}=>2
[5,6,3,1,7,4,2]=>[6,3,7,2,5,1,4]=>{{1,6},{2,3,4,7},{5}}=>2
[5,6,3,2,1,4,7]=>[5,3,6,1,4,2,7]=>{{1,4,5},{2,3,6},{7}}=>0
[5,6,3,2,1,7,4]=>[5,3,7,1,4,6,2]=>{{1,4,5},{2,3,7},{6}}=>1
[5,6,3,2,4,1,7]=>[5,3,6,1,2,4,7]=>{{1,2,3,4,5,6},{7}}=>0
[5,6,3,2,4,7,1]=>[5,3,7,1,2,6,4]=>{{1,2,3,4,5,7},{6}}=>1
[5,6,3,2,7,1,4]=>[6,3,7,1,5,4,2]=>{{1,4,6},{2,3,7},{5}}=>2
[5,6,3,2,7,4,1]=>[6,3,7,1,5,2,4]=>{{1,2,3,4,6,7},{5}}=>2
[5,6,3,4,1,2,7]=>[4,3,5,6,2,1,7]=>{{1,4,6},{2,3,5},{7}}=>1
[5,6,3,4,1,7,2]=>[4,3,5,7,2,6,1]=>{{1,4,7},{2,3,5},{6}}=>2
[5,6,3,4,2,1,7]=>[4,3,5,6,1,2,7]=>{{1,2,3,4,5,6},{7}}=>0
[5,6,3,4,2,7,1]=>[4,3,5,7,1,6,2]=>{{1,2,3,4,5,7},{6}}=>1
[5,6,3,4,7,1,2]=>[4,3,6,7,5,2,1]=>{{1,4,7},{2,3,6},{5}}=>3
[5,6,3,4,7,2,1]=>[4,3,6,7,5,1,2]=>{{1,2,3,4,6,7},{5}}=>2
[5,6,3,7,1,2,4]=>[6,3,7,5,4,2,1]=>{{1,2,3,6,7},{4,5}}=>2
[5,6,3,7,1,4,2]=>[6,3,7,5,4,1,2]=>{{1,6},{2,3,7},{4,5}}=>2
[5,6,3,7,2,1,4]=>[6,3,7,5,2,4,1]=>{{1,2,3,4,5,6,7}}=>0
[5,6,3,7,2,4,1]=>[6,3,7,5,2,1,4]=>{{1,6},{2,3,4,5,7}}=>0
[5,6,3,7,4,1,2]=>[6,3,7,5,1,4,2]=>{{1,4,5,6},{2,3,7}}=>0
[5,6,3,7,4,2,1]=>[6,3,7,5,1,2,4]=>{{1,2,3,4,5,6,7}}=>0
[5,6,4,1,2,3,7]=>[5,4,6,3,2,1,7]=>{{1,2,3,4,5,6},{7}}=>0
[5,6,4,1,2,7,3]=>[5,4,7,3,2,6,1]=>{{1,2,3,4,5,7},{6}}=>1
[5,6,4,1,3,2,7]=>[5,4,6,3,1,2,7]=>{{1,5},{2,3,4,6},{7}}=>0
[5,6,4,1,3,7,2]=>[5,4,7,3,1,6,2]=>{{1,5},{2,3,4,7},{6}}=>1
[5,6,4,1,7,2,3]=>[6,4,7,3,5,2,1]=>{{1,2,3,4,6,7},{5}}=>2
[5,6,4,1,7,3,2]=>[6,4,7,3,5,1,2]=>{{1,6},{2,3,4,7},{5}}=>2
[5,6,4,2,1,3,7]=>[5,4,6,2,3,1,7]=>{{1,3,5,6},{2,4},{7}}=>2
[5,6,4,2,1,7,3]=>[5,4,7,2,3,6,1]=>{{1,3,5,7},{2,4},{6}}=>3
[5,6,4,2,3,1,7]=>[5,4,6,2,1,3,7]=>{{1,5},{2,4},{3,6},{7}}=>1
[5,6,4,2,3,7,1]=>[5,4,7,2,1,6,3]=>{{1,5},{2,4},{3,7},{6}}=>2
[5,6,4,2,7,1,3]=>[6,4,7,2,5,3,1]=>{{1,3,6,7},{2,4},{5}}=>4
[5,6,4,2,7,3,1]=>[6,4,7,2,5,1,3]=>{{1,6},{2,4},{3,7},{5}}=>3
[5,6,4,3,1,2,7]=>[5,4,6,1,3,2,7]=>{{1,2,3,4,5,6},{7}}=>0
[5,6,4,3,1,7,2]=>[5,4,7,1,3,6,2]=>{{1,2,3,4,5,7},{6}}=>1
[5,6,4,3,2,1,7]=>[5,4,6,1,2,3,7]=>{{1,2,4,5},{3,6},{7}}=>0
[5,6,4,3,2,7,1]=>[5,4,7,1,2,6,3]=>{{1,2,4,5},{3,7},{6}}=>1
[5,6,4,3,7,1,2]=>[6,4,7,1,5,3,2]=>{{1,2,3,4,6,7},{5}}=>2
[5,6,4,3,7,2,1]=>[6,4,7,1,5,2,3]=>{{1,2,4,6},{3,7},{5}}=>2
[5,6,4,7,1,2,3]=>[6,5,7,4,3,2,1]=>{{1,2,3,5,6,7},{4}}=>3
[5,6,4,7,1,3,2]=>[6,5,7,4,3,1,2]=>{{1,6},{2,3,5,7},{4}}=>3
[5,6,4,7,2,1,3]=>[6,5,7,4,2,3,1]=>{{1,3,6,7},{2,5},{4}}=>5
[5,6,4,7,2,3,1]=>[6,5,7,4,2,1,3]=>{{1,6},{2,5},{3,7},{4}}=>4
[5,6,4,7,3,1,2]=>[6,5,7,4,1,3,2]=>{{1,2,3,5,6,7},{4}}=>3
[5,6,4,7,3,2,1]=>[6,5,7,4,1,2,3]=>{{1,2,5,6},{3,7},{4}}=>3
[5,6,7,1,2,3,4]=>[7,6,5,3,4,2,1]=>{{1,7},{2,6},{3,4,5}}=>3
[5,6,7,1,2,4,3]=>[7,6,5,3,4,1,2]=>{{1,2,6,7},{3,4,5}}=>2
[5,6,7,1,3,2,4]=>[7,6,5,3,2,4,1]=>{{1,7},{2,3,4,5,6}}=>1
[5,6,7,1,3,4,2]=>[7,6,5,3,2,1,4]=>{{1,2,3,4,5,6,7}}=>0
[5,6,7,1,4,2,3]=>[7,6,5,3,1,4,2]=>{{1,2,3,4,5,6,7}}=>0
[5,6,7,1,4,3,2]=>[7,6,5,3,1,2,4]=>{{1,3,4,5,7},{2,6}}=>1
[5,6,7,2,1,3,4]=>[7,6,5,2,4,3,1]=>{{1,7},{2,3,4,5,6}}=>1
[5,6,7,2,1,4,3]=>[7,6,5,2,4,1,3]=>{{1,2,3,4,5,6,7}}=>0
[5,6,7,2,3,1,4]=>[7,6,5,2,3,4,1]=>{{1,7},{2,4,6},{3,5}}=>3
[5,6,7,2,3,4,1]=>[7,6,5,2,3,1,4]=>{{1,2,4,6,7},{3,5}}=>2
[5,6,7,2,4,1,3]=>[7,6,5,2,1,4,3]=>{{1,3,5,7},{2,4,6}}=>1
[5,6,7,2,4,3,1]=>[7,6,5,2,1,3,4]=>{{1,2,3,4,5,6,7}}=>0
[5,6,7,3,1,2,4]=>[7,6,5,1,4,3,2]=>{{1,2,3,4,5,6,7}}=>0
[5,6,7,3,1,4,2]=>[7,6,5,1,4,2,3]=>{{1,3,4,5,7},{2,6}}=>1
[5,6,7,3,2,1,4]=>[7,6,5,1,3,4,2]=>{{1,2,4,6,7},{3,5}}=>2
[5,6,7,3,2,4,1]=>[7,6,5,1,3,2,4]=>{{1,4,7},{2,6},{3,5}}=>3
[5,6,7,3,4,1,2]=>[7,6,5,1,2,4,3]=>{{1,2,3,4,5,6,7}}=>0
[5,6,7,3,4,2,1]=>[7,6,5,1,2,3,4]=>{{1,4,7},{2,3,5,6}}=>1
[5,6,7,4,1,2,3]=>[6,5,4,7,3,2,1]=>{{1,2,3,4,5,6,7}}=>0
[5,6,7,4,1,3,2]=>[6,5,4,7,3,1,2]=>{{1,6},{2,3,4,5,7}}=>0
[5,6,7,4,2,1,3]=>[6,5,4,7,2,3,1]=>{{1,3,4,6,7},{2,5}}=>2
[5,6,7,4,2,3,1]=>[6,5,4,7,2,1,3]=>{{1,6},{2,5},{3,4,7}}=>1
[5,6,7,4,3,1,2]=>[6,5,4,7,1,3,2]=>{{1,2,3,4,5,6,7}}=>0
[5,6,7,4,3,2,1]=>[6,5,4,7,1,2,3]=>{{1,2,5,6},{3,4,7}}=>0
[5,7,1,2,3,4,6]=>[7,5,2,3,4,1,6]=>{{1,6,7},{2,3,4,5}}=>2
[5,7,1,2,3,6,4]=>[6,5,2,3,4,7,1]=>{{1,6,7},{2,3,4,5}}=>2
[5,7,1,2,4,3,6]=>[7,5,2,3,1,4,6]=>{{1,2,3,4,5,6,7}}=>0
[5,7,1,2,4,6,3]=>[6,5,2,3,1,7,4]=>{{1,2,3,4,5,6,7}}=>0
[5,7,1,2,6,3,4]=>[7,5,2,3,6,4,1]=>{{1,7},{2,3,4,5,6}}=>1
[5,7,1,2,6,4,3]=>[7,5,2,3,6,1,4]=>{{1,2,3,4,5,6,7}}=>0
[5,7,1,3,2,4,6]=>[7,5,2,1,4,3,6]=>{{1,2,3,4,5,6,7}}=>0
[5,7,1,3,2,6,4]=>[6,5,2,1,4,7,3]=>{{1,2,3,4,5,6,7}}=>0
[5,7,1,3,4,2,6]=>[7,5,2,1,3,4,6]=>{{1,4,6,7},{2,3,5}}=>2
[5,7,1,3,4,6,2]=>[6,5,2,1,3,7,4]=>{{1,4,6,7},{2,3,5}}=>2
[5,7,1,3,6,2,4]=>[7,5,2,1,6,4,3]=>{{1,2,3,4,5,6,7}}=>0
[5,7,1,3,6,4,2]=>[7,5,2,1,6,3,4]=>{{1,4,7},{2,3,5,6}}=>1
[5,7,1,4,2,3,6]=>[5,4,2,7,3,1,6]=>{{1,2,3,4,5,6,7}}=>0
[5,7,1,4,2,6,3]=>[5,4,2,6,3,7,1]=>{{1,2,3,4,5,6,7}}=>0
[5,7,1,4,3,2,6]=>[5,4,2,7,1,3,6]=>{{1,5},{2,3,4,6,7}}=>0
[5,7,1,4,3,6,2]=>[5,4,2,6,1,7,3]=>{{1,5},{2,3,4,6,7}}=>0
[5,7,1,4,6,2,3]=>[5,4,2,7,6,3,1]=>{{1,2,3,4,5,6,7}}=>0
[5,7,1,4,6,3,2]=>[5,4,2,7,6,1,3]=>{{1,5,6},{2,3,4,7}}=>0
[5,7,1,6,2,3,4]=>[7,5,2,6,4,3,1]=>{{1,7},{2,3,4,5,6}}=>1
[5,7,1,6,2,4,3]=>[7,5,2,6,4,1,3]=>{{1,2,3,4,5,6,7}}=>0
[5,7,1,6,3,2,4]=>[7,5,2,6,3,4,1]=>{{1,7},{2,3,5},{4,6}}=>2
[5,7,1,6,3,4,2]=>[7,5,2,6,3,1,4]=>{{1,4,6,7},{2,3,5}}=>2
[5,7,1,6,4,2,3]=>[7,5,2,6,1,4,3]=>{{1,2,3,5,7},{4,6}}=>1
[5,7,1,6,4,3,2]=>[7,5,2,6,1,3,4]=>{{1,2,3,4,5,6,7}}=>0
[5,7,2,1,3,4,6]=>[7,5,1,3,4,2,6]=>{{1,2,3,4,5,6,7}}=>0
[5,7,2,1,3,6,4]=>[6,5,1,3,4,7,2]=>{{1,2,3,4,5,6,7}}=>0
[5,7,2,1,4,3,6]=>[7,5,1,3,2,4,6]=>{{1,3,4,6,7},{2,5}}=>2
[5,7,2,1,4,6,3]=>[6,5,1,3,2,7,4]=>{{1,3,4,6,7},{2,5}}=>2
[5,7,2,1,6,3,4]=>[7,5,1,3,6,4,2]=>{{1,2,3,4,5,6,7}}=>0
[5,7,2,1,6,4,3]=>[7,5,1,3,6,2,4]=>{{1,3,4,7},{2,5,6}}=>1
[5,7,2,3,1,4,6]=>[7,5,1,2,4,3,6]=>{{1,3,6,7},{2,4,5}}=>2
[5,7,2,3,1,6,4]=>[6,5,1,2,4,7,3]=>{{1,3,6,7},{2,4,5}}=>2
[5,7,2,3,4,1,6]=>[7,5,1,2,3,4,6]=>{{1,2,3,4,5,6,7}}=>0
[5,7,2,3,4,6,1]=>[6,5,1,2,3,7,4]=>{{1,2,3,4,5,6,7}}=>0
[5,7,2,3,6,1,4]=>[7,5,1,2,6,4,3]=>{{1,3,7},{2,4,5,6}}=>1
[5,7,2,3,6,4,1]=>[7,5,1,2,6,3,4]=>{{1,2,3,4,5,6,7}}=>0
[5,7,2,4,1,3,6]=>[5,4,1,7,3,2,6]=>{{1,3,5},{2,4,6,7}}=>0
[5,7,2,4,1,6,3]=>[5,4,1,6,3,7,2]=>{{1,3,5},{2,4,6,7}}=>0
[5,7,2,4,3,1,6]=>[5,4,1,7,2,3,6]=>{{1,2,3,4,5,6,7}}=>0
[5,7,2,4,3,6,1]=>[5,4,1,6,2,7,3]=>{{1,2,3,4,5,6,7}}=>0
[5,7,2,4,6,1,3]=>[5,4,1,7,6,3,2]=>{{1,3,5,6},{2,4,7}}=>0
[5,7,2,4,6,3,1]=>[5,4,1,7,6,2,3]=>{{1,2,3,4,5,6,7}}=>0
[5,7,2,6,1,3,4]=>[7,5,1,6,4,3,2]=>{{1,2,3,4,5,6,7}}=>0
[5,7,2,6,1,4,3]=>[7,5,1,6,4,2,3]=>{{1,3,7},{2,4,5,6}}=>1
[5,7,2,6,3,1,4]=>[7,5,1,6,3,4,2]=>{{1,2,3,5,7},{4,6}}=>1
[5,7,2,6,3,4,1]=>[7,5,1,6,3,2,4]=>{{1,2,3,4,5,6,7}}=>0
[5,7,2,6,4,1,3]=>[7,5,1,6,2,4,3]=>{{1,3,7},{2,5},{4,6}}=>2
[5,7,2,6,4,3,1]=>[7,5,1,6,2,3,4]=>{{1,3,4,6,7},{2,5}}=>2
[5,7,3,1,2,4,6]=>[5,3,7,2,4,1,6]=>{{1,2,3,4,5,6,7}}=>0
[5,7,3,1,2,6,4]=>[5,3,6,2,4,7,1]=>{{1,2,3,4,5,6,7}}=>0
[5,7,3,1,4,2,6]=>[5,3,7,2,1,4,6]=>{{1,5},{2,3,4,6,7}}=>0
[5,7,3,1,4,6,2]=>[5,3,6,2,1,7,4]=>{{1,5},{2,3,4,6,7}}=>0
[5,7,3,1,6,2,4]=>[5,3,7,2,6,4,1]=>{{1,2,3,4,5,6,7}}=>0
[5,7,3,1,6,4,2]=>[5,3,7,2,6,1,4]=>{{1,5,6},{2,3,4,7}}=>0
[5,7,3,2,1,4,6]=>[5,3,7,1,4,2,6]=>{{1,4,5},{2,3,6,7}}=>0
[5,7,3,2,1,6,4]=>[5,3,6,1,4,7,2]=>{{1,4,5},{2,3,6,7}}=>0
[5,7,3,2,4,1,6]=>[5,3,7,1,2,4,6]=>{{1,2,3,4,5,6,7}}=>0
[5,7,3,2,4,6,1]=>[5,3,6,1,2,7,4]=>{{1,2,3,4,5,6,7}}=>0
[5,7,3,2,6,1,4]=>[5,3,7,1,6,4,2]=>{{1,4,5,6},{2,3,7}}=>0
[5,7,3,2,6,4,1]=>[5,3,7,1,6,2,4]=>{{1,2,3,4,5,6,7}}=>0
[5,7,3,4,1,2,6]=>[4,3,5,7,2,1,6]=>{{1,4,6,7},{2,3,5}}=>2
[5,7,3,4,1,6,2]=>[4,3,5,6,2,7,1]=>{{1,4,6,7},{2,3,5}}=>2
[5,7,3,4,2,1,6]=>[4,3,5,7,1,2,6]=>{{1,2,3,4,5,6,7}}=>0
[5,7,3,4,2,6,1]=>[4,3,5,6,1,7,2]=>{{1,2,3,4,5,6,7}}=>0
[5,7,3,4,6,1,2]=>[4,3,5,7,6,2,1]=>{{1,4,7},{2,3,5,6}}=>1
[5,7,3,4,6,2,1]=>[4,3,5,7,6,1,2]=>{{1,2,3,4,5,6,7}}=>0
[5,7,3,6,1,2,4]=>[5,3,7,6,4,2,1]=>{{1,2,3,4,5,6,7}}=>0
[5,7,3,6,1,4,2]=>[5,3,7,6,4,1,2]=>{{1,4,5,6},{2,3,7}}=>0
[5,7,3,6,2,1,4]=>[5,3,7,6,2,4,1]=>{{1,2,3,5,7},{4,6}}=>1
[5,7,3,6,2,4,1]=>[5,3,7,6,2,1,4]=>{{1,2,3,4,5,6,7}}=>0
[5,7,3,6,4,1,2]=>[5,3,7,6,1,4,2]=>{{1,5},{2,3,7},{4,6}}=>1
[5,7,3,6,4,2,1]=>[5,3,7,6,1,2,4]=>{{1,5},{2,3,4,6,7}}=>0
[5,7,4,1,2,3,6]=>[5,4,7,3,2,1,6]=>{{1,2,3,4,5,6,7}}=>0
[5,7,4,1,2,6,3]=>[5,4,6,3,2,7,1]=>{{1,2,3,4,5,6,7}}=>0
[5,7,4,1,3,2,6]=>[5,4,7,3,1,2,6]=>{{1,5},{2,3,4,6,7}}=>0
[5,7,4,1,3,6,2]=>[5,4,6,3,1,7,2]=>{{1,5},{2,3,4,6,7}}=>0
[5,7,4,1,6,2,3]=>[5,4,7,3,6,2,1]=>{{1,2,3,4,5,6,7}}=>0
[5,7,4,1,6,3,2]=>[5,4,7,3,6,1,2]=>{{1,5,6},{2,3,4,7}}=>0
[5,7,4,2,1,3,6]=>[5,4,7,2,3,1,6]=>{{1,3,5,6,7},{2,4}}=>3
[5,7,4,2,1,6,3]=>[5,4,6,2,3,7,1]=>{{1,3,5,6,7},{2,4}}=>3
[5,7,4,2,3,1,6]=>[5,4,7,2,1,3,6]=>{{1,5},{2,4},{3,6,7}}=>1
[5,7,4,2,3,6,1]=>[5,4,6,2,1,7,3]=>{{1,5},{2,4},{3,6,7}}=>1
[5,7,4,2,6,1,3]=>[5,4,7,2,6,3,1]=>{{1,3,5,6,7},{2,4}}=>3
[5,7,4,2,6,3,1]=>[5,4,7,2,6,1,3]=>{{1,5,6},{2,4},{3,7}}=>2
[5,7,4,3,1,2,6]=>[5,4,7,1,3,2,6]=>{{1,2,3,4,5,6,7}}=>0
[5,7,4,3,1,6,2]=>[5,4,6,1,3,7,2]=>{{1,2,3,4,5,6,7}}=>0
[5,7,4,3,2,1,6]=>[5,4,7,1,2,3,6]=>{{1,2,4,5},{3,6,7}}=>0
[5,7,4,3,2,6,1]=>[5,4,6,1,2,7,3]=>{{1,2,4,5},{3,6,7}}=>0
[5,7,4,3,6,1,2]=>[5,4,7,1,6,3,2]=>{{1,2,3,4,5,6,7}}=>0
[5,7,4,3,6,2,1]=>[5,4,7,1,6,2,3]=>{{1,2,4,5,6},{3,7}}=>0
[5,7,4,6,1,2,3]=>[6,4,7,5,3,2,1]=>{{1,2,3,4,5,6,7}}=>0
[5,7,4,6,1,3,2]=>[6,4,7,5,3,1,2]=>{{1,6},{2,3,4,5,7}}=>0
[5,7,4,6,2,1,3]=>[6,4,7,5,2,3,1]=>{{1,3,6,7},{2,4,5}}=>2
[5,7,4,6,2,3,1]=>[6,4,7,5,2,1,3]=>{{1,6},{2,4,5},{3,7}}=>1
[5,7,4,6,3,1,2]=>[6,4,7,5,1,3,2]=>{{1,2,3,4,5,6,7}}=>0
[5,7,4,6,3,2,1]=>[6,4,7,5,1,2,3]=>{{1,2,4,5,6},{3,7}}=>0
[5,7,6,1,2,3,4]=>[7,5,6,3,4,2,1]=>{{1,7},{2,3,4,5,6}}=>1
[5,7,6,1,2,4,3]=>[7,5,6,3,4,1,2]=>{{1,2,3,4,5,6,7}}=>0
[5,7,6,1,3,2,4]=>[7,5,6,3,2,4,1]=>{{1,7},{2,5},{3,4,6}}=>2
[5,7,6,1,3,4,2]=>[7,5,6,3,2,1,4]=>{{1,3,4,6,7},{2,5}}=>2
[5,7,6,1,4,2,3]=>[7,5,6,3,1,4,2]=>{{1,2,5,7},{3,4,6}}=>1
[5,7,6,1,4,3,2]=>[7,5,6,3,1,2,4]=>{{1,2,3,4,5,6,7}}=>0
[5,7,6,2,1,3,4]=>[7,5,6,2,4,3,1]=>{{1,7},{2,4,5},{3,6}}=>2
[5,7,6,2,1,4,3]=>[7,5,6,2,4,1,3]=>{{1,3,6,7},{2,4,5}}=>2
[5,7,6,2,3,1,4]=>[7,5,6,2,3,4,1]=>{{1,7},{2,3,4,5,6}}=>1
[5,7,6,2,3,4,1]=>[7,5,6,2,3,1,4]=>{{1,2,3,4,5,6,7}}=>0
[5,7,6,2,4,1,3]=>[7,5,6,2,1,4,3]=>{{1,2,3,4,5,6,7}}=>0
[5,7,6,2,4,3,1]=>[7,5,6,2,1,3,4]=>{{1,2,4,5,7},{3,6}}=>1
[5,7,6,3,1,2,4]=>[7,5,6,1,4,3,2]=>{{1,2,4,5,7},{3,6}}=>1
[5,7,6,3,1,4,2]=>[7,5,6,1,4,2,3]=>{{1,2,3,4,5,6,7}}=>0
[5,7,6,3,2,1,4]=>[7,5,6,1,3,4,2]=>{{1,2,3,4,5,6,7}}=>0
[5,7,6,3,2,4,1]=>[7,5,6,1,3,2,4]=>{{1,4,7},{2,3,5,6}}=>1
[5,7,6,3,4,1,2]=>[7,5,6,1,2,4,3]=>{{1,3,4,6,7},{2,5}}=>2
[5,7,6,3,4,2,1]=>[7,5,6,1,2,3,4]=>{{1,4,7},{2,5},{3,6}}=>2
[5,7,6,4,1,2,3]=>[6,4,5,7,3,2,1]=>{{1,2,4,6,7},{3,5}}=>2
[5,7,6,4,1,3,2]=>[6,4,5,7,3,1,2]=>{{1,6},{2,4,7},{3,5}}=>2
[5,7,6,4,2,1,3]=>[6,4,5,7,2,3,1]=>{{1,2,3,4,5,6,7}}=>0
[5,7,6,4,2,3,1]=>[6,4,5,7,2,1,3]=>{{1,6},{2,3,4,5,7}}=>0
[5,7,6,4,3,1,2]=>[6,4,5,7,1,3,2]=>{{1,3,5,6},{2,4,7}}=>0
[5,7,6,4,3,2,1]=>[6,4,5,7,1,2,3]=>{{1,2,3,4,5,6,7}}=>0
[6,1,2,3,4,5,7]=>[6,1,2,3,4,5,7]=>{{1,2,3,4,5,6},{7}}=>0
[6,1,2,3,4,7,5]=>[7,1,2,3,4,6,5]=>{{1,2,3,4,5,7},{6}}=>1
[6,1,2,3,5,4,7]=>[5,1,2,3,6,4,7]=>{{1,2,3,4,5,6},{7}}=>0
[6,1,2,3,5,7,4]=>[5,1,2,3,7,6,4]=>{{1,2,3,4,5,7},{6}}=>1
[6,1,2,3,7,4,5]=>[7,1,2,3,6,5,4]=>{{1,2,3,4,7},{5,6}}=>1
[6,1,2,3,7,5,4]=>[7,1,2,3,6,4,5]=>{{1,2,3,4,5,6,7}}=>0
[6,1,2,4,3,5,7]=>[4,1,2,6,3,5,7]=>{{1,2,3,4,5,6},{7}}=>0
[6,1,2,4,3,7,5]=>[4,1,2,7,3,6,5]=>{{1,2,3,4,5,7},{6}}=>1
[6,1,2,4,5,3,7]=>[4,1,2,5,6,3,7]=>{{1,2,3,4,5,6},{7}}=>0
[6,1,2,4,5,7,3]=>[4,1,2,5,7,6,3]=>{{1,2,3,4,5,7},{6}}=>1
[6,1,2,4,7,3,5]=>[4,1,2,7,6,5,3]=>{{1,2,3,4,7},{5,6}}=>1
[6,1,2,4,7,5,3]=>[4,1,2,7,6,3,5]=>{{1,2,3,4,5,6,7}}=>0
[6,1,2,5,3,4,7]=>[5,1,2,6,4,3,7]=>{{1,2,3,4,5,6},{7}}=>0
[6,1,2,5,3,7,4]=>[5,1,2,7,4,6,3]=>{{1,2,3,4,5,7},{6}}=>1
[6,1,2,5,4,3,7]=>[5,1,2,6,3,4,7]=>{{1,2,3,5},{4,6},{7}}=>0
[6,1,2,5,4,7,3]=>[5,1,2,7,3,6,4]=>{{1,2,3,5},{4,7},{6}}=>1
[6,1,2,5,7,3,4]=>[6,1,2,7,5,4,3]=>{{1,2,3,4,6,7},{5}}=>2
[6,1,2,5,7,4,3]=>[6,1,2,7,5,3,4]=>{{1,2,3,6},{4,7},{5}}=>2
[6,1,2,7,3,4,5]=>[7,1,2,6,4,5,3]=>{{1,2,3,7},{4,5,6}}=>1
[6,1,2,7,3,5,4]=>[7,1,2,6,4,3,5]=>{{1,2,3,4,5,6,7}}=>0
[6,1,2,7,4,3,5]=>[7,1,2,6,3,5,4]=>{{1,2,3,4,5,6,7}}=>0
[6,1,2,7,4,5,3]=>[7,1,2,6,3,4,5]=>{{1,2,3,5,7},{4,6}}=>1
[6,1,2,7,5,3,4]=>[6,1,2,5,7,4,3]=>{{1,2,3,4,5,6,7}}=>0
[6,1,2,7,5,4,3]=>[6,1,2,5,7,3,4]=>{{1,2,3,6},{4,5,7}}=>0
[6,1,3,2,4,5,7]=>[3,1,6,2,4,5,7]=>{{1,2,3,4,5,6},{7}}=>0
[6,1,3,2,4,7,5]=>[3,1,7,2,4,6,5]=>{{1,2,3,4,5,7},{6}}=>1
[6,1,3,2,5,4,7]=>[3,1,5,2,6,4,7]=>{{1,2,3,4,5,6},{7}}=>0
[6,1,3,2,5,7,4]=>[3,1,5,2,7,6,4]=>{{1,2,3,4,5,7},{6}}=>1
[6,1,3,2,7,4,5]=>[3,1,7,2,6,5,4]=>{{1,2,3,4,7},{5,6}}=>1
[6,1,3,2,7,5,4]=>[3,1,7,2,6,4,5]=>{{1,2,3,4,5,6,7}}=>0
[6,1,3,4,2,5,7]=>[3,1,4,6,2,5,7]=>{{1,2,3,4,5,6},{7}}=>0
[6,1,3,4,2,7,5]=>[3,1,4,7,2,6,5]=>{{1,2,3,4,5,7},{6}}=>1
[6,1,3,4,5,2,7]=>[3,1,4,5,6,2,7]=>{{1,2,3,4,5,6},{7}}=>0
[6,1,3,4,5,7,2]=>[3,1,4,5,7,6,2]=>{{1,2,3,4,5,7},{6}}=>1
[6,1,3,4,7,2,5]=>[3,1,4,7,6,5,2]=>{{1,2,3,4,7},{5,6}}=>1
[6,1,3,4,7,5,2]=>[3,1,4,7,6,2,5]=>{{1,2,3,4,5,6,7}}=>0
[6,1,3,5,2,4,7]=>[3,1,5,6,4,2,7]=>{{1,2,3,4,5,6},{7}}=>0
[6,1,3,5,2,7,4]=>[3,1,5,7,4,6,2]=>{{1,2,3,4,5,7},{6}}=>1
[6,1,3,5,4,2,7]=>[3,1,5,6,2,4,7]=>{{1,2,3,5},{4,6},{7}}=>0
[6,1,3,5,4,7,2]=>[3,1,5,7,2,6,4]=>{{1,2,3,5},{4,7},{6}}=>1
[6,1,3,5,7,2,4]=>[3,1,6,7,5,4,2]=>{{1,2,3,4,6,7},{5}}=>2
[6,1,3,5,7,4,2]=>[3,1,6,7,5,2,4]=>{{1,2,3,6},{4,7},{5}}=>2
[6,1,3,7,2,4,5]=>[3,1,7,6,4,5,2]=>{{1,2,3,7},{4,5,6}}=>1
[6,1,3,7,2,5,4]=>[3,1,7,6,4,2,5]=>{{1,2,3,4,5,6,7}}=>0
[6,1,3,7,4,2,5]=>[3,1,7,6,2,5,4]=>{{1,2,3,4,5,6,7}}=>0
[6,1,3,7,4,5,2]=>[3,1,7,6,2,4,5]=>{{1,2,3,5,7},{4,6}}=>1
[6,1,3,7,5,2,4]=>[3,1,6,5,7,4,2]=>{{1,2,3,4,5,6,7}}=>0
[6,1,3,7,5,4,2]=>[3,1,6,5,7,2,4]=>{{1,2,3,6},{4,5,7}}=>0
[6,1,4,2,3,5,7]=>[4,1,6,3,2,5,7]=>{{1,2,3,4,5,6},{7}}=>0
[6,1,4,2,3,7,5]=>[4,1,7,3,2,6,5]=>{{1,2,3,4,5,7},{6}}=>1
[6,1,4,2,5,3,7]=>[4,1,5,3,6,2,7]=>{{1,2,3,4,5,6},{7}}=>0
[6,1,4,2,5,7,3]=>[4,1,5,3,7,6,2]=>{{1,2,3,4,5,7},{6}}=>1
[6,1,4,2,7,3,5]=>[4,1,7,3,6,5,2]=>{{1,2,3,4,7},{5,6}}=>1
[6,1,4,2,7,5,3]=>[4,1,7,3,6,2,5]=>{{1,2,3,4,5,6,7}}=>0
[6,1,4,3,2,5,7]=>[4,1,6,2,3,5,7]=>{{1,2,4},{3,5,6},{7}}=>0
[6,1,4,3,2,7,5]=>[4,1,7,2,3,6,5]=>{{1,2,4},{3,5,7},{6}}=>1
[6,1,4,3,5,2,7]=>[4,1,5,2,6,3,7]=>{{1,2,4},{3,5,6},{7}}=>0
[6,1,4,3,5,7,2]=>[4,1,5,2,7,6,3]=>{{1,2,4},{3,5,7},{6}}=>1
[6,1,4,3,7,2,5]=>[4,1,7,2,6,5,3]=>{{1,2,4},{3,7},{5,6}}=>1
[6,1,4,3,7,5,2]=>[4,1,7,2,6,3,5]=>{{1,2,4},{3,5,6,7}}=>0
[6,1,4,5,2,3,7]=>[4,1,6,5,3,2,7]=>{{1,2,3,4,5,6},{7}}=>0
[6,1,4,5,2,7,3]=>[4,1,7,5,3,6,2]=>{{1,2,3,4,5,7},{6}}=>1
[6,1,4,5,3,2,7]=>[4,1,6,5,2,3,7]=>{{1,2,4,5},{3,6},{7}}=>0
[6,1,4,5,3,7,2]=>[4,1,7,5,2,6,3]=>{{1,2,4,5},{3,7},{6}}=>1
[6,1,4,5,7,2,3]=>[4,1,7,6,5,3,2]=>{{1,2,3,4,6,7},{5}}=>2
[6,1,4,5,7,3,2]=>[4,1,7,6,5,2,3]=>{{1,2,4,6},{3,7},{5}}=>2
[6,1,4,7,2,3,5]=>[6,1,7,4,3,5,2]=>{{1,2,3,5,6,7},{4}}=>3
[6,1,4,7,2,5,3]=>[6,1,7,4,3,2,5]=>{{1,2,6},{3,5,7},{4}}=>3
[6,1,4,7,3,2,5]=>[6,1,7,4,2,5,3]=>{{1,2,5,6},{3,7},{4}}=>3
[6,1,4,7,3,5,2]=>[6,1,7,4,2,3,5]=>{{1,2,3,5,6,7},{4}}=>3
[6,1,4,7,5,2,3]=>[5,1,6,4,7,3,2]=>{{1,2,5,7},{3,6},{4}}=>4
[6,1,4,7,5,3,2]=>[5,1,6,4,7,2,3]=>{{1,2,3,5,6,7},{4}}=>3
[6,1,5,2,3,4,7]=>[5,1,6,3,4,2,7]=>{{1,2,3,4,5,6},{7}}=>0
[6,1,5,2,3,7,4]=>[5,1,7,3,4,6,2]=>{{1,2,3,4,5,7},{6}}=>1
[6,1,5,2,4,3,7]=>[5,1,6,3,2,4,7]=>{{1,2,5},{3,4,6},{7}}=>0
[6,1,5,2,4,7,3]=>[5,1,7,3,2,6,4]=>{{1,2,5},{3,4,7},{6}}=>1
[6,1,5,2,7,3,4]=>[6,1,7,3,5,4,2]=>{{1,2,3,4,6,7},{5}}=>2
[6,1,5,2,7,4,3]=>[6,1,7,3,5,2,4]=>{{1,2,6},{3,4,7},{5}}=>2
[6,1,5,3,2,4,7]=>[5,1,6,2,4,3,7]=>{{1,2,4,5},{3,6},{7}}=>0
[6,1,5,3,2,7,4]=>[5,1,7,2,4,6,3]=>{{1,2,4,5},{3,7},{6}}=>1
[6,1,5,3,4,2,7]=>[5,1,6,2,3,4,7]=>{{1,2,3,4,5,6},{7}}=>0
[6,1,5,3,4,7,2]=>[5,1,7,2,3,6,4]=>{{1,2,3,4,5,7},{6}}=>1
[6,1,5,3,7,2,4]=>[6,1,7,2,5,4,3]=>{{1,2,4,6},{3,7},{5}}=>2
[6,1,5,3,7,4,2]=>[6,1,7,2,5,3,4]=>{{1,2,3,4,6,7},{5}}=>2
[6,1,5,4,2,3,7]=>[4,1,5,6,3,2,7]=>{{1,2,4,6},{3,5},{7}}=>1
[6,1,5,4,2,7,3]=>[4,1,5,7,3,6,2]=>{{1,2,4,7},{3,5},{6}}=>2
[6,1,5,4,3,2,7]=>[4,1,5,6,2,3,7]=>{{1,2,3,4,5,6},{7}}=>0
[6,1,5,4,3,7,2]=>[4,1,5,7,2,6,3]=>{{1,2,3,4,5,7},{6}}=>1
[6,1,5,4,7,2,3]=>[4,1,6,7,5,3,2]=>{{1,2,4,7},{3,6},{5}}=>3
[6,1,5,4,7,3,2]=>[4,1,6,7,5,2,3]=>{{1,2,3,4,6,7},{5}}=>2
[6,1,5,7,2,3,4]=>[6,1,7,5,4,3,2]=>{{1,2,3,6,7},{4,5}}=>2
[6,1,5,7,2,4,3]=>[6,1,7,5,4,2,3]=>{{1,2,6},{3,7},{4,5}}=>2
[6,1,5,7,3,2,4]=>[6,1,7,5,3,4,2]=>{{1,2,3,4,5,6,7}}=>0
[6,1,5,7,3,4,2]=>[6,1,7,5,3,2,4]=>{{1,2,6},{3,4,5,7}}=>0
[6,1,5,7,4,2,3]=>[6,1,7,5,2,4,3]=>{{1,2,4,5,6},{3,7}}=>0
[6,1,5,7,4,3,2]=>[6,1,7,5,2,3,4]=>{{1,2,3,4,5,6,7}}=>0
[6,1,7,2,3,4,5]=>[7,1,6,3,4,5,2]=>{{1,2,7},{3,4,5,6}}=>1
[6,1,7,2,3,5,4]=>[7,1,6,3,4,2,5]=>{{1,2,3,4,5,6,7}}=>0
[6,1,7,2,4,3,5]=>[7,1,6,3,2,5,4]=>{{1,2,3,4,5,6,7}}=>0
[6,1,7,2,4,5,3]=>[7,1,6,3,2,4,5]=>{{1,2,5,7},{3,4,6}}=>1
[6,1,7,2,5,3,4]=>[6,1,5,3,7,4,2]=>{{1,2,3,4,5,6,7}}=>0
[6,1,7,2,5,4,3]=>[6,1,5,3,7,2,4]=>{{1,2,6},{3,4,5,7}}=>0
[6,1,7,3,2,4,5]=>[7,1,6,2,4,5,3]=>{{1,2,3,4,5,6,7}}=>0
[6,1,7,3,2,5,4]=>[7,1,6,2,4,3,5]=>{{1,2,4,5,7},{3,6}}=>1
[6,1,7,3,4,2,5]=>[7,1,6,2,3,5,4]=>{{1,2,4,7},{3,5,6}}=>1
[6,1,7,3,4,5,2]=>[7,1,6,2,3,4,5]=>{{1,2,3,4,5,6,7}}=>0
[6,1,7,3,5,2,4]=>[6,1,5,2,7,4,3]=>{{1,2,4,6},{3,5,7}}=>0
[6,1,7,3,5,4,2]=>[6,1,5,2,7,3,4]=>{{1,2,3,4,5,6,7}}=>0
[6,1,7,4,2,3,5]=>[6,1,4,7,3,5,2]=>{{1,2,3,4,5,6,7}}=>0
[6,1,7,4,2,5,3]=>[6,1,4,7,3,2,5]=>{{1,2,6},{3,4,5,7}}=>0
[6,1,7,4,3,2,5]=>[6,1,4,7,2,5,3]=>{{1,2,5,6},{3,4,7}}=>0
[6,1,7,4,3,5,2]=>[6,1,4,7,2,3,5]=>{{1,2,3,4,5,6,7}}=>0
[6,1,7,4,5,2,3]=>[5,1,4,6,7,3,2]=>{{1,2,5,7},{3,4,6}}=>1
[6,1,7,4,5,3,2]=>[5,1,4,6,7,2,3]=>{{1,2,3,4,5,6,7}}=>0
[6,1,7,5,2,3,4]=>[6,1,5,7,4,3,2]=>{{1,2,3,4,5,6,7}}=>0
[6,1,7,5,2,4,3]=>[6,1,5,7,4,2,3]=>{{1,2,6},{3,4,5,7}}=>0
[6,1,7,5,3,2,4]=>[6,1,5,7,3,4,2]=>{{1,2,4,6,7},{3,5}}=>2
[6,1,7,5,3,4,2]=>[6,1,5,7,3,2,4]=>{{1,2,6},{3,5},{4,7}}=>1
[6,1,7,5,4,2,3]=>[6,1,5,7,2,4,3]=>{{1,2,3,4,5,6,7}}=>0
[6,1,7,5,4,3,2]=>[6,1,5,7,2,3,4]=>{{1,2,3,5,6},{4,7}}=>0
[6,2,1,3,4,5,7]=>[2,6,1,3,4,5,7]=>{{1,2,3,4,5,6},{7}}=>0
[6,2,1,3,4,7,5]=>[2,7,1,3,4,6,5]=>{{1,2,3,4,5,7},{6}}=>1
[6,2,1,3,5,4,7]=>[2,5,1,3,6,4,7]=>{{1,2,3,4,5,6},{7}}=>0
[6,2,1,3,5,7,4]=>[2,5,1,3,7,6,4]=>{{1,2,3,4,5,7},{6}}=>1
[6,2,1,3,7,4,5]=>[2,7,1,3,6,5,4]=>{{1,2,3,4,7},{5,6}}=>1
[6,2,1,3,7,5,4]=>[2,7,1,3,6,4,5]=>{{1,2,3,4,5,6,7}}=>0
[6,2,1,4,3,5,7]=>[2,4,1,6,3,5,7]=>{{1,2,3,4,5,6},{7}}=>0
[6,2,1,4,3,7,5]=>[2,4,1,7,3,6,5]=>{{1,2,3,4,5,7},{6}}=>1
[6,2,1,4,5,3,7]=>[2,4,1,5,6,3,7]=>{{1,2,3,4,5,6},{7}}=>0
[6,2,1,4,5,7,3]=>[2,4,1,5,7,6,3]=>{{1,2,3,4,5,7},{6}}=>1
[6,2,1,4,7,3,5]=>[2,4,1,7,6,5,3]=>{{1,2,3,4,7},{5,6}}=>1
[6,2,1,4,7,5,3]=>[2,4,1,7,6,3,5]=>{{1,2,3,4,5,6,7}}=>0
[6,2,1,5,3,4,7]=>[2,5,1,6,4,3,7]=>{{1,2,3,4,5,6},{7}}=>0
[6,2,1,5,3,7,4]=>[2,5,1,7,4,6,3]=>{{1,2,3,4,5,7},{6}}=>1
[6,2,1,5,4,3,7]=>[2,5,1,6,3,4,7]=>{{1,2,3,5},{4,6},{7}}=>0
[6,2,1,5,4,7,3]=>[2,5,1,7,3,6,4]=>{{1,2,3,5},{4,7},{6}}=>1
[6,2,1,5,7,3,4]=>[2,6,1,7,5,4,3]=>{{1,2,3,4,6,7},{5}}=>2
[6,2,1,5,7,4,3]=>[2,6,1,7,5,3,4]=>{{1,2,3,6},{4,7},{5}}=>2
[6,2,1,7,3,4,5]=>[2,7,1,6,4,5,3]=>{{1,2,3,7},{4,5,6}}=>1
[6,2,1,7,3,5,4]=>[2,7,1,6,4,3,5]=>{{1,2,3,4,5,6,7}}=>0
[6,2,1,7,4,3,5]=>[2,7,1,6,3,5,4]=>{{1,2,3,4,5,6,7}}=>0
[6,2,1,7,4,5,3]=>[2,7,1,6,3,4,5]=>{{1,2,3,5,7},{4,6}}=>1
[6,2,1,7,5,3,4]=>[2,6,1,5,7,4,3]=>{{1,2,3,4,5,6,7}}=>0
[6,2,1,7,5,4,3]=>[2,6,1,5,7,3,4]=>{{1,2,3,6},{4,5,7}}=>0
[6,2,3,1,4,5,7]=>[2,3,6,1,4,5,7]=>{{1,2,3,4,5,6},{7}}=>0
[6,2,3,1,4,7,5]=>[2,3,7,1,4,6,5]=>{{1,2,3,4,5,7},{6}}=>1
[6,2,3,1,5,4,7]=>[2,3,5,1,6,4,7]=>{{1,2,3,4,5,6},{7}}=>0
[6,2,3,1,5,7,4]=>[2,3,5,1,7,6,4]=>{{1,2,3,4,5,7},{6}}=>1
[6,2,3,1,7,4,5]=>[2,3,7,1,6,5,4]=>{{1,2,3,4,7},{5,6}}=>1
[6,2,3,1,7,5,4]=>[2,3,7,1,6,4,5]=>{{1,2,3,4,5,6,7}}=>0
[6,2,3,4,1,5,7]=>[2,3,4,6,1,5,7]=>{{1,2,3,4,5,6},{7}}=>0
[6,2,3,4,1,7,5]=>[2,3,4,7,1,6,5]=>{{1,2,3,4,5,7},{6}}=>1
[6,2,3,4,5,1,7]=>[2,3,4,5,6,1,7]=>{{1,2,3,4,5,6},{7}}=>0
[6,2,3,4,5,7,1]=>[2,3,4,5,7,6,1]=>{{1,2,3,4,5,7},{6}}=>1
[6,2,3,4,7,1,5]=>[2,3,4,7,6,5,1]=>{{1,2,3,4,7},{5,6}}=>1
[6,2,3,4,7,5,1]=>[2,3,4,7,6,1,5]=>{{1,2,3,4,5,6,7}}=>0
[6,2,3,5,1,4,7]=>[2,3,5,6,4,1,7]=>{{1,2,3,4,5,6},{7}}=>0
[6,2,3,5,1,7,4]=>[2,3,5,7,4,6,1]=>{{1,2,3,4,5,7},{6}}=>1
[6,2,3,5,4,1,7]=>[2,3,5,6,1,4,7]=>{{1,2,3,5},{4,6},{7}}=>0
[6,2,3,5,4,7,1]=>[2,3,5,7,1,6,4]=>{{1,2,3,5},{4,7},{6}}=>1
[6,2,3,5,7,1,4]=>[2,3,6,7,5,4,1]=>{{1,2,3,4,6,7},{5}}=>2
[6,2,3,5,7,4,1]=>[2,3,6,7,5,1,4]=>{{1,2,3,6},{4,7},{5}}=>2
[6,2,3,7,1,4,5]=>[2,3,7,6,4,5,1]=>{{1,2,3,7},{4,5,6}}=>1
[6,2,3,7,1,5,4]=>[2,3,7,6,4,1,5]=>{{1,2,3,4,5,6,7}}=>0
[6,2,3,7,4,1,5]=>[2,3,7,6,1,5,4]=>{{1,2,3,4,5,6,7}}=>0
[6,2,3,7,4,5,1]=>[2,3,7,6,1,4,5]=>{{1,2,3,5,7},{4,6}}=>1
[6,2,3,7,5,1,4]=>[2,3,6,5,7,4,1]=>{{1,2,3,4,5,6,7}}=>0
[6,2,3,7,5,4,1]=>[2,3,6,5,7,1,4]=>{{1,2,3,6},{4,5,7}}=>0
[6,2,4,1,3,5,7]=>[2,4,6,3,1,5,7]=>{{1,2,3,4,5,6},{7}}=>0
[6,2,4,1,3,7,5]=>[2,4,7,3,1,6,5]=>{{1,2,3,4,5,7},{6}}=>1
[6,2,4,1,5,3,7]=>[2,4,5,3,6,1,7]=>{{1,2,3,4,5,6},{7}}=>0
[6,2,4,1,5,7,3]=>[2,4,5,3,7,6,1]=>{{1,2,3,4,5,7},{6}}=>1
[6,2,4,1,7,3,5]=>[2,4,7,3,6,5,1]=>{{1,2,3,4,7},{5,6}}=>1
[6,2,4,1,7,5,3]=>[2,4,7,3,6,1,5]=>{{1,2,3,4,5,6,7}}=>0
[6,2,4,3,1,5,7]=>[2,4,6,1,3,5,7]=>{{1,2,4},{3,5,6},{7}}=>0
[6,2,4,3,1,7,5]=>[2,4,7,1,3,6,5]=>{{1,2,4},{3,5,7},{6}}=>1
[6,2,4,3,5,1,7]=>[2,4,5,1,6,3,7]=>{{1,2,4},{3,5,6},{7}}=>0
[6,2,4,3,5,7,1]=>[2,4,5,1,7,6,3]=>{{1,2,4},{3,5,7},{6}}=>1
[6,2,4,3,7,1,5]=>[2,4,7,1,6,5,3]=>{{1,2,4},{3,7},{5,6}}=>1
[6,2,4,3,7,5,1]=>[2,4,7,1,6,3,5]=>{{1,2,4},{3,5,6,7}}=>0
[6,2,4,5,1,3,7]=>[2,4,6,5,3,1,7]=>{{1,2,3,4,5,6},{7}}=>0
[6,2,4,5,1,7,3]=>[2,4,7,5,3,6,1]=>{{1,2,3,4,5,7},{6}}=>1
[6,2,4,5,3,1,7]=>[2,4,6,5,1,3,7]=>{{1,2,4,5},{3,6},{7}}=>0
[6,2,4,5,3,7,1]=>[2,4,7,5,1,6,3]=>{{1,2,4,5},{3,7},{6}}=>1
[6,2,4,5,7,1,3]=>[2,4,7,6,5,3,1]=>{{1,2,3,4,6,7},{5}}=>2
[6,2,4,5,7,3,1]=>[2,4,7,6,5,1,3]=>{{1,2,4,6},{3,7},{5}}=>2
[6,2,4,7,1,3,5]=>[2,6,7,4,3,5,1]=>{{1,2,3,5,6,7},{4}}=>3
[6,2,4,7,1,5,3]=>[2,6,7,4,3,1,5]=>{{1,2,6},{3,5,7},{4}}=>3
[6,2,4,7,3,1,5]=>[2,6,7,4,1,5,3]=>{{1,2,5,6},{3,7},{4}}=>3
[6,2,4,7,3,5,1]=>[2,6,7,4,1,3,5]=>{{1,2,3,5,6,7},{4}}=>3
[6,2,4,7,5,1,3]=>[2,5,6,4,7,3,1]=>{{1,2,5,7},{3,6},{4}}=>4
[6,2,4,7,5,3,1]=>[2,5,6,4,7,1,3]=>{{1,2,3,5,6,7},{4}}=>3
[6,2,5,1,3,4,7]=>[2,5,6,3,4,1,7]=>{{1,2,3,4,5,6},{7}}=>0
[6,2,5,1,3,7,4]=>[2,5,7,3,4,6,1]=>{{1,2,3,4,5,7},{6}}=>1
[6,2,5,1,4,3,7]=>[2,5,6,3,1,4,7]=>{{1,2,5},{3,4,6},{7}}=>0
[6,2,5,1,4,7,3]=>[2,5,7,3,1,6,4]=>{{1,2,5},{3,4,7},{6}}=>1
[6,2,5,1,7,3,4]=>[2,6,7,3,5,4,1]=>{{1,2,3,4,6,7},{5}}=>2
[6,2,5,1,7,4,3]=>[2,6,7,3,5,1,4]=>{{1,2,6},{3,4,7},{5}}=>2
[6,2,5,3,1,4,7]=>[2,5,6,1,4,3,7]=>{{1,2,4,5},{3,6},{7}}=>0
[6,2,5,3,1,7,4]=>[2,5,7,1,4,6,3]=>{{1,2,4,5},{3,7},{6}}=>1
[6,2,5,3,4,1,7]=>[2,5,6,1,3,4,7]=>{{1,2,3,4,5,6},{7}}=>0
[6,2,5,3,4,7,1]=>[2,5,7,1,3,6,4]=>{{1,2,3,4,5,7},{6}}=>1
[6,2,5,3,7,1,4]=>[2,6,7,1,5,4,3]=>{{1,2,4,6},{3,7},{5}}=>2
[6,2,5,3,7,4,1]=>[2,6,7,1,5,3,4]=>{{1,2,3,4,6,7},{5}}=>2
[6,2,5,4,1,3,7]=>[2,4,5,6,3,1,7]=>{{1,2,4,6},{3,5},{7}}=>1
[6,2,5,4,1,7,3]=>[2,4,5,7,3,6,1]=>{{1,2,4,7},{3,5},{6}}=>2
[6,2,5,4,3,1,7]=>[2,4,5,6,1,3,7]=>{{1,2,3,4,5,6},{7}}=>0
[6,2,5,4,3,7,1]=>[2,4,5,7,1,6,3]=>{{1,2,3,4,5,7},{6}}=>1
[6,2,5,4,7,1,3]=>[2,4,6,7,5,3,1]=>{{1,2,4,7},{3,6},{5}}=>3
[6,2,5,4,7,3,1]=>[2,4,6,7,5,1,3]=>{{1,2,3,4,6,7},{5}}=>2
[6,2,5,7,1,3,4]=>[2,6,7,5,4,3,1]=>{{1,2,3,6,7},{4,5}}=>2
[6,2,5,7,1,4,3]=>[2,6,7,5,4,1,3]=>{{1,2,6},{3,7},{4,5}}=>2
[6,2,5,7,3,1,4]=>[2,6,7,5,3,4,1]=>{{1,2,3,4,5,6,7}}=>0
[6,2,5,7,3,4,1]=>[2,6,7,5,3,1,4]=>{{1,2,6},{3,4,5,7}}=>0
[6,2,5,7,4,1,3]=>[2,6,7,5,1,4,3]=>{{1,2,4,5,6},{3,7}}=>0
[6,2,5,7,4,3,1]=>[2,6,7,5,1,3,4]=>{{1,2,3,4,5,6,7}}=>0
[6,2,7,1,3,4,5]=>[2,7,6,3,4,5,1]=>{{1,2,7},{3,4,5,6}}=>1
[6,2,7,1,3,5,4]=>[2,7,6,3,4,1,5]=>{{1,2,3,4,5,6,7}}=>0
[6,2,7,1,4,3,5]=>[2,7,6,3,1,5,4]=>{{1,2,3,4,5,6,7}}=>0
[6,2,7,1,4,5,3]=>[2,7,6,3,1,4,5]=>{{1,2,5,7},{3,4,6}}=>1
[6,2,7,1,5,3,4]=>[2,6,5,3,7,4,1]=>{{1,2,3,4,5,6,7}}=>0
[6,2,7,1,5,4,3]=>[2,6,5,3,7,1,4]=>{{1,2,6},{3,4,5,7}}=>0
[6,2,7,3,1,4,5]=>[2,7,6,1,4,5,3]=>{{1,2,3,4,5,6,7}}=>0
[6,2,7,3,1,5,4]=>[2,7,6,1,4,3,5]=>{{1,2,4,5,7},{3,6}}=>1
[6,2,7,3,4,1,5]=>[2,7,6,1,3,5,4]=>{{1,2,4,7},{3,5,6}}=>1
[6,2,7,3,4,5,1]=>[2,7,6,1,3,4,5]=>{{1,2,3,4,5,6,7}}=>0
[6,2,7,3,5,1,4]=>[2,6,5,1,7,4,3]=>{{1,2,4,6},{3,5,7}}=>0
[6,2,7,3,5,4,1]=>[2,6,5,1,7,3,4]=>{{1,2,3,4,5,6,7}}=>0
[6,2,7,4,1,3,5]=>[2,6,4,7,3,5,1]=>{{1,2,3,4,5,6,7}}=>0
[6,2,7,4,1,5,3]=>[2,6,4,7,3,1,5]=>{{1,2,6},{3,4,5,7}}=>0
[6,2,7,4,3,1,5]=>[2,6,4,7,1,5,3]=>{{1,2,5,6},{3,4,7}}=>0
[6,2,7,4,3,5,1]=>[2,6,4,7,1,3,5]=>{{1,2,3,4,5,6,7}}=>0
[6,2,7,4,5,1,3]=>[2,5,4,6,7,3,1]=>{{1,2,5,7},{3,4,6}}=>1
[6,2,7,4,5,3,1]=>[2,5,4,6,7,1,3]=>{{1,2,3,4,5,6,7}}=>0
[6,2,7,5,1,3,4]=>[2,6,5,7,4,3,1]=>{{1,2,3,4,5,6,7}}=>0
[6,2,7,5,1,4,3]=>[2,6,5,7,4,1,3]=>{{1,2,6},{3,4,5,7}}=>0
[6,2,7,5,3,1,4]=>[2,6,5,7,3,4,1]=>{{1,2,4,6,7},{3,5}}=>2
[6,2,7,5,3,4,1]=>[2,6,5,7,3,1,4]=>{{1,2,6},{3,5},{4,7}}=>1
[6,2,7,5,4,1,3]=>[2,6,5,7,1,4,3]=>{{1,2,3,4,5,6,7}}=>0
[6,2,7,5,4,3,1]=>[2,6,5,7,1,3,4]=>{{1,2,3,5,6},{4,7}}=>0
[6,3,1,2,4,5,7]=>[3,6,2,1,4,5,7]=>{{1,2,3,4,5,6},{7}}=>0
[6,3,1,2,4,7,5]=>[3,7,2,1,4,6,5]=>{{1,2,3,4,5,7},{6}}=>1
[6,3,1,2,5,4,7]=>[3,5,2,1,6,4,7]=>{{1,2,3,4,5,6},{7}}=>0
[6,3,1,2,5,7,4]=>[3,5,2,1,7,6,4]=>{{1,2,3,4,5,7},{6}}=>1
[6,3,1,2,7,4,5]=>[3,7,2,1,6,5,4]=>{{1,2,3,4,7},{5,6}}=>1
[6,3,1,2,7,5,4]=>[3,7,2,1,6,4,5]=>{{1,2,3,4,5,6,7}}=>0
[6,3,1,4,2,5,7]=>[3,4,2,6,1,5,7]=>{{1,2,3,4,5,6},{7}}=>0
[6,3,1,4,2,7,5]=>[3,4,2,7,1,6,5]=>{{1,2,3,4,5,7},{6}}=>1
[6,3,1,4,5,2,7]=>[3,4,2,5,6,1,7]=>{{1,2,3,4,5,6},{7}}=>0
[6,3,1,4,5,7,2]=>[3,4,2,5,7,6,1]=>{{1,2,3,4,5,7},{6}}=>1
[6,3,1,4,7,2,5]=>[3,4,2,7,6,5,1]=>{{1,2,3,4,7},{5,6}}=>1
[6,3,1,4,7,5,2]=>[3,4,2,7,6,1,5]=>{{1,2,3,4,5,6,7}}=>0
[6,3,1,5,2,4,7]=>[3,5,2,6,4,1,7]=>{{1,2,3,4,5,6},{7}}=>0
[6,3,1,5,2,7,4]=>[3,5,2,7,4,6,1]=>{{1,2,3,4,5,7},{6}}=>1
[6,3,1,5,4,2,7]=>[3,5,2,6,1,4,7]=>{{1,2,3,5},{4,6},{7}}=>0
[6,3,1,5,4,7,2]=>[3,5,2,7,1,6,4]=>{{1,2,3,5},{4,7},{6}}=>1
[6,3,1,5,7,2,4]=>[3,6,2,7,5,4,1]=>{{1,2,3,4,6,7},{5}}=>2
[6,3,1,5,7,4,2]=>[3,6,2,7,5,1,4]=>{{1,2,3,6},{4,7},{5}}=>2
[6,3,1,7,2,4,5]=>[3,7,2,6,4,5,1]=>{{1,2,3,7},{4,5,6}}=>1
[6,3,1,7,2,5,4]=>[3,7,2,6,4,1,5]=>{{1,2,3,4,5,6,7}}=>0
[6,3,1,7,4,2,5]=>[3,7,2,6,1,5,4]=>{{1,2,3,4,5,6,7}}=>0
[6,3,1,7,4,5,2]=>[3,7,2,6,1,4,5]=>{{1,2,3,5,7},{4,6}}=>1
[6,3,1,7,5,2,4]=>[3,6,2,5,7,4,1]=>{{1,2,3,4,5,6,7}}=>0
[6,3,1,7,5,4,2]=>[3,6,2,5,7,1,4]=>{{1,2,3,6},{4,5,7}}=>0
[6,3,2,1,4,5,7]=>[3,6,1,2,4,5,7]=>{{1,3},{2,4,5,6},{7}}=>0
[6,3,2,1,4,7,5]=>[3,7,1,2,4,6,5]=>{{1,3},{2,4,5,7},{6}}=>1
[6,3,2,1,5,4,7]=>[3,5,1,2,6,4,7]=>{{1,3},{2,4,5,6},{7}}=>0
[6,3,2,1,5,7,4]=>[3,5,1,2,7,6,4]=>{{1,3},{2,4,5,7},{6}}=>1
[6,3,2,1,7,4,5]=>[3,7,1,2,6,5,4]=>{{1,3},{2,4,7},{5,6}}=>1
[6,3,2,1,7,5,4]=>[3,7,1,2,6,4,5]=>{{1,3},{2,4,5,6,7}}=>0
[6,3,2,4,1,5,7]=>[3,4,1,6,2,5,7]=>{{1,3},{2,4,5,6},{7}}=>0
[6,3,2,4,1,7,5]=>[3,4,1,7,2,6,5]=>{{1,3},{2,4,5,7},{6}}=>1
[6,3,2,4,5,1,7]=>[3,4,1,5,6,2,7]=>{{1,3},{2,4,5,6},{7}}=>0
[6,3,2,4,5,7,1]=>[3,4,1,5,7,6,2]=>{{1,3},{2,4,5,7},{6}}=>1
[6,3,2,4,7,1,5]=>[3,4,1,7,6,5,2]=>{{1,3},{2,4,7},{5,6}}=>1
[6,3,2,4,7,5,1]=>[3,4,1,7,6,2,5]=>{{1,3},{2,4,5,6,7}}=>0
[6,3,2,5,1,4,7]=>[3,5,1,6,4,2,7]=>{{1,3},{2,4,5,6},{7}}=>0
[6,3,2,5,1,7,4]=>[3,5,1,7,4,6,2]=>{{1,3},{2,4,5,7},{6}}=>1
[6,3,2,5,4,1,7]=>[3,5,1,6,2,4,7]=>{{1,3},{2,5},{4,6},{7}}=>0
[6,3,2,5,4,7,1]=>[3,5,1,7,2,6,4]=>{{1,3},{2,5},{4,7},{6}}=>1
[6,3,2,5,7,1,4]=>[3,6,1,7,5,4,2]=>{{1,3},{2,4,6,7},{5}}=>2
[6,3,2,5,7,4,1]=>[3,6,1,7,5,2,4]=>{{1,3},{2,6},{4,7},{5}}=>2
[6,3,2,7,1,4,5]=>[3,7,1,6,4,5,2]=>{{1,3},{2,7},{4,5,6}}=>1
[6,3,2,7,1,5,4]=>[3,7,1,6,4,2,5]=>{{1,3},{2,4,5,6,7}}=>0
[6,3,2,7,4,1,5]=>[3,7,1,6,2,5,4]=>{{1,3},{2,4,5,6,7}}=>0
[6,3,2,7,4,5,1]=>[3,7,1,6,2,4,5]=>{{1,3},{2,5,7},{4,6}}=>1
[6,3,2,7,5,1,4]=>[3,6,1,5,7,4,2]=>{{1,3},{2,4,5,6,7}}=>0
[6,3,2,7,5,4,1]=>[3,6,1,5,7,2,4]=>{{1,3},{2,6},{4,5,7}}=>0
[6,3,4,1,2,5,7]=>[3,6,4,2,1,5,7]=>{{1,2,3,4,5,6},{7}}=>0
[6,3,4,1,2,7,5]=>[3,7,4,2,1,6,5]=>{{1,2,3,4,5,7},{6}}=>1
[6,3,4,1,5,2,7]=>[3,5,4,2,6,1,7]=>{{1,2,3,4,5,6},{7}}=>0
[6,3,4,1,5,7,2]=>[3,5,4,2,7,6,1]=>{{1,2,3,4,5,7},{6}}=>1
[6,3,4,1,7,2,5]=>[3,7,4,2,6,5,1]=>{{1,2,3,4,7},{5,6}}=>1
[6,3,4,1,7,5,2]=>[3,7,4,2,6,1,5]=>{{1,2,3,4,5,6,7}}=>0
[6,3,4,2,1,5,7]=>[3,6,4,1,2,5,7]=>{{1,3,4},{2,5,6},{7}}=>0
[6,3,4,2,1,7,5]=>[3,7,4,1,2,6,5]=>{{1,3,4},{2,5,7},{6}}=>1
[6,3,4,2,5,1,7]=>[3,5,4,1,6,2,7]=>{{1,3,4},{2,5,6},{7}}=>0
[6,3,4,2,5,7,1]=>[3,5,4,1,7,6,2]=>{{1,3,4},{2,5,7},{6}}=>1
[6,3,4,2,7,1,5]=>[3,7,4,1,6,5,2]=>{{1,3,4},{2,7},{5,6}}=>1
[6,3,4,2,7,5,1]=>[3,7,4,1,6,2,5]=>{{1,3,4},{2,5,6,7}}=>0
[6,3,4,5,1,2,7]=>[3,6,4,5,2,1,7]=>{{1,2,3,4,5,6},{7}}=>0
[6,3,4,5,1,7,2]=>[3,7,4,5,2,6,1]=>{{1,2,3,4,5,7},{6}}=>1
[6,3,4,5,2,1,7]=>[3,6,4,5,1,2,7]=>{{1,3,4,5},{2,6},{7}}=>0
[6,3,4,5,2,7,1]=>[3,7,4,5,1,6,2]=>{{1,3,4,5},{2,7},{6}}=>1
[6,3,4,5,7,1,2]=>[3,7,4,6,5,2,1]=>{{1,2,3,4,6,7},{5}}=>2
[6,3,4,5,7,2,1]=>[3,7,4,6,5,1,2]=>{{1,3,4,6},{2,7},{5}}=>2
[6,3,4,7,1,2,5]=>[3,7,6,4,2,5,1]=>{{1,2,3,5,6,7},{4}}=>3
[6,3,4,7,1,5,2]=>[3,7,6,4,2,1,5]=>{{1,3,6},{2,5,7},{4}}=>3
[6,3,4,7,2,1,5]=>[3,7,6,4,1,5,2]=>{{1,3,5,6},{2,7},{4}}=>3
[6,3,4,7,2,5,1]=>[3,7,6,4,1,2,5]=>{{1,2,3,5,6,7},{4}}=>3
[6,3,4,7,5,1,2]=>[3,6,5,4,7,2,1]=>{{1,3,5,7},{2,6},{4}}=>4
[6,3,4,7,5,2,1]=>[3,6,5,4,7,1,2]=>{{1,2,3,5,6,7},{4}}=>3
[6,3,5,1,2,4,7]=>[3,6,5,2,4,1,7]=>{{1,2,3,4,5,6},{7}}=>0
[6,3,5,1,2,7,4]=>[3,7,5,2,4,6,1]=>{{1,2,3,4,5,7},{6}}=>1
[6,3,5,1,4,2,7]=>[3,6,5,2,1,4,7]=>{{1,3,5},{2,4,6},{7}}=>0
[6,3,5,1,4,7,2]=>[3,7,5,2,1,6,4]=>{{1,3,5},{2,4,7},{6}}=>1
[6,3,5,1,7,2,4]=>[3,7,6,2,5,4,1]=>{{1,2,3,4,6,7},{5}}=>2
[6,3,5,1,7,4,2]=>[3,7,6,2,5,1,4]=>{{1,3,6},{2,4,7},{5}}=>2
[6,3,5,2,1,4,7]=>[3,6,5,1,4,2,7]=>{{1,3,4,5},{2,6},{7}}=>0
[6,3,5,2,1,7,4]=>[3,7,5,1,4,6,2]=>{{1,3,4,5},{2,7},{6}}=>1
[6,3,5,2,4,1,7]=>[3,6,5,1,2,4,7]=>{{1,2,3,4,5,6},{7}}=>0
[6,3,5,2,4,7,1]=>[3,7,5,1,2,6,4]=>{{1,2,3,4,5,7},{6}}=>1
[6,3,5,2,7,1,4]=>[3,7,6,1,5,4,2]=>{{1,3,4,6},{2,7},{5}}=>2
[6,3,5,2,7,4,1]=>[3,7,6,1,5,2,4]=>{{1,2,3,4,6,7},{5}}=>2
[6,3,5,4,1,2,7]=>[3,5,4,6,2,1,7]=>{{1,3,4,6},{2,5},{7}}=>1
[6,3,5,4,1,7,2]=>[3,5,4,7,2,6,1]=>{{1,3,4,7},{2,5},{6}}=>2
[6,3,5,4,2,1,7]=>[3,5,4,6,1,2,7]=>{{1,2,3,4,5,6},{7}}=>0
[6,3,5,4,2,7,1]=>[3,5,4,7,1,6,2]=>{{1,2,3,4,5,7},{6}}=>1
[6,3,5,4,7,1,2]=>[3,6,4,7,5,2,1]=>{{1,3,4,7},{2,6},{5}}=>3
[6,3,5,4,7,2,1]=>[3,6,4,7,5,1,2]=>{{1,2,3,4,6,7},{5}}=>2
[6,3,5,7,1,2,4]=>[3,7,6,5,4,2,1]=>{{1,2,3,6,7},{4,5}}=>2
[6,3,5,7,1,4,2]=>[3,7,6,5,4,1,2]=>{{1,3,6},{2,7},{4,5}}=>2
[6,3,5,7,2,1,4]=>[3,7,6,5,2,4,1]=>{{1,2,3,4,5,6,7}}=>0
[6,3,5,7,2,4,1]=>[3,7,6,5,2,1,4]=>{{1,3,6},{2,4,5,7}}=>0
[6,3,5,7,4,1,2]=>[3,7,6,5,1,4,2]=>{{1,3,4,5,6},{2,7}}=>0
[6,3,5,7,4,2,1]=>[3,7,6,5,1,2,4]=>{{1,2,3,4,5,6,7}}=>0
[6,3,7,1,2,4,5]=>[6,7,3,2,4,5,1]=>{{1,2,4,5,6,7},{3}}=>4
[6,3,7,1,2,5,4]=>[6,7,3,2,4,1,5]=>{{1,6},{2,4,5,7},{3}}=>4
[6,3,7,1,4,2,5]=>[6,7,3,2,1,5,4]=>{{1,5,6},{2,4,7},{3}}=>4
[6,3,7,1,4,5,2]=>[6,7,3,2,1,4,5]=>{{1,2,4,5,6,7},{3}}=>4
[6,3,7,1,5,2,4]=>[5,6,3,2,7,4,1]=>{{1,5,7},{2,4,6},{3}}=>5
[6,3,7,1,5,4,2]=>[5,6,3,2,7,1,4]=>{{1,2,4,5,6,7},{3}}=>4
[6,3,7,2,1,4,5]=>[6,7,3,1,4,5,2]=>{{1,4,5,6},{2,7},{3}}=>4
[6,3,7,2,1,5,4]=>[6,7,3,1,4,2,5]=>{{1,2,4,5,6,7},{3}}=>4
[6,3,7,2,4,1,5]=>[6,7,3,1,2,5,4]=>{{1,2,4,5,6,7},{3}}=>4
[6,3,7,2,4,5,1]=>[6,7,3,1,2,4,5]=>{{1,4,6},{2,5,7},{3}}=>4
[6,3,7,2,5,1,4]=>[5,6,3,1,7,4,2]=>{{1,2,4,5,6,7},{3}}=>4
[6,3,7,2,5,4,1]=>[5,6,3,1,7,2,4]=>{{1,4,5,7},{2,6},{3}}=>5
[6,3,7,4,1,2,5]=>[4,6,3,7,2,5,1]=>{{1,4,7},{2,5,6},{3}}=>5
[6,3,7,4,1,5,2]=>[4,6,3,7,2,1,5]=>{{1,2,4,5,6,7},{3}}=>4
[6,3,7,4,2,1,5]=>[4,6,3,7,1,5,2]=>{{1,2,4,5,6,7},{3}}=>4
[6,3,7,4,2,5,1]=>[4,6,3,7,1,2,5]=>{{1,4,5,7},{2,6},{3}}=>5
[6,3,7,4,5,1,2]=>[4,5,3,6,7,2,1]=>{{1,2,4,5,6,7},{3}}=>4
[6,3,7,4,5,2,1]=>[4,5,3,6,7,1,2]=>{{1,4,6},{2,5,7},{3}}=>4
[6,3,7,5,1,2,4]=>[5,6,3,7,4,2,1]=>{{1,4,5,7},{2,6},{3}}=>5
[6,3,7,5,1,4,2]=>[5,6,3,7,4,1,2]=>{{1,2,4,5,6,7},{3}}=>4
[6,3,7,5,2,1,4]=>[5,6,3,7,2,4,1]=>{{1,2,4,5,6,7},{3}}=>4
[6,3,7,5,2,4,1]=>[5,6,3,7,2,1,4]=>{{1,2,5,6},{3},{4,7}}=>2
[6,3,7,5,4,1,2]=>[5,6,3,7,1,4,2]=>{{1,5},{2,4,6,7},{3}}=>4
[6,3,7,5,4,2,1]=>[5,6,3,7,1,2,4]=>{{1,5},{2,6},{3},{4,7}}=>2
[6,4,1,2,3,5,7]=>[4,6,2,3,1,5,7]=>{{1,2,3,4,5,6},{7}}=>0
[6,4,1,2,3,7,5]=>[4,7,2,3,1,6,5]=>{{1,2,3,4,5,7},{6}}=>1
[6,4,1,2,5,3,7]=>[4,5,2,3,6,1,7]=>{{1,2,3,4,5,6},{7}}=>0
[6,4,1,2,5,7,3]=>[4,5,2,3,7,6,1]=>{{1,2,3,4,5,7},{6}}=>1
[6,4,1,2,7,3,5]=>[4,7,2,3,6,5,1]=>{{1,2,3,4,7},{5,6}}=>1
[6,4,1,2,7,5,3]=>[4,7,2,3,6,1,5]=>{{1,2,3,4,5,6,7}}=>0
[6,4,1,3,2,5,7]=>[4,6,2,1,3,5,7]=>{{1,4},{2,3,5,6},{7}}=>0
[6,4,1,3,2,7,5]=>[4,7,2,1,3,6,5]=>{{1,4},{2,3,5,7},{6}}=>1
[6,4,1,3,5,2,7]=>[4,5,2,1,6,3,7]=>{{1,4},{2,3,5,6},{7}}=>0
[6,4,1,3,5,7,2]=>[4,5,2,1,7,6,3]=>{{1,4},{2,3,5,7},{6}}=>1
[6,4,1,3,7,2,5]=>[4,7,2,1,6,5,3]=>{{1,4},{2,3,7},{5,6}}=>1
[6,4,1,3,7,5,2]=>[4,7,2,1,6,3,5]=>{{1,4},{2,3,5,6,7}}=>0
[6,4,1,5,2,3,7]=>[4,6,2,5,3,1,7]=>{{1,2,3,4,5,6},{7}}=>0
[6,4,1,5,2,7,3]=>[4,7,2,5,3,6,1]=>{{1,2,3,4,5,7},{6}}=>1
[6,4,1,5,3,2,7]=>[4,6,2,5,1,3,7]=>{{1,4,5},{2,3,6},{7}}=>0
[6,4,1,5,3,7,2]=>[4,7,2,5,1,6,3]=>{{1,4,5},{2,3,7},{6}}=>1
[6,4,1,5,7,2,3]=>[4,7,2,6,5,3,1]=>{{1,2,3,4,6,7},{5}}=>2
[6,4,1,5,7,3,2]=>[4,7,2,6,5,1,3]=>{{1,4,6},{2,3,7},{5}}=>2
[6,4,1,7,2,3,5]=>[6,7,2,4,3,5,1]=>{{1,2,3,5,6,7},{4}}=>3
[6,4,1,7,2,5,3]=>[6,7,2,4,3,1,5]=>{{1,6},{2,3,5,7},{4}}=>3
[6,4,1,7,3,2,5]=>[6,7,2,4,1,5,3]=>{{1,5,6},{2,3,7},{4}}=>3
[6,4,1,7,3,5,2]=>[6,7,2,4,1,3,5]=>{{1,2,3,5,6,7},{4}}=>3
[6,4,1,7,5,2,3]=>[5,6,2,4,7,3,1]=>{{1,5,7},{2,3,6},{4}}=>4
[6,4,1,7,5,3,2]=>[5,6,2,4,7,1,3]=>{{1,2,3,5,6,7},{4}}=>3
[6,4,2,1,3,5,7]=>[4,6,1,3,2,5,7]=>{{1,3,4},{2,5,6},{7}}=>0
[6,4,2,1,3,7,5]=>[4,7,1,3,2,6,5]=>{{1,3,4},{2,5,7},{6}}=>1
[6,4,2,1,5,3,7]=>[4,5,1,3,6,2,7]=>{{1,3,4},{2,5,6},{7}}=>0
[6,4,2,1,5,7,3]=>[4,5,1,3,7,6,2]=>{{1,3,4},{2,5,7},{6}}=>1
[6,4,2,1,7,3,5]=>[4,7,1,3,6,5,2]=>{{1,3,4},{2,7},{5,6}}=>1
[6,4,2,1,7,5,3]=>[4,7,1,3,6,2,5]=>{{1,3,4},{2,5,6,7}}=>0
[6,4,2,3,1,5,7]=>[4,6,1,2,3,5,7]=>{{1,2,3,4,5,6},{7}}=>0
[6,4,2,3,1,7,5]=>[4,7,1,2,3,6,5]=>{{1,2,3,4,5,7},{6}}=>1
[6,4,2,3,5,1,7]=>[4,5,1,2,6,3,7]=>{{1,2,3,4,5,6},{7}}=>0
[6,4,2,3,5,7,1]=>[4,5,1,2,7,6,3]=>{{1,2,3,4,5,7},{6}}=>1
[6,4,2,3,7,1,5]=>[4,7,1,2,6,5,3]=>{{1,2,3,4,7},{5,6}}=>1
[6,4,2,3,7,5,1]=>[4,7,1,2,6,3,5]=>{{1,2,3,4,5,6,7}}=>0
[6,4,2,5,1,3,7]=>[4,6,1,5,3,2,7]=>{{1,3,4,5},{2,6},{7}}=>0
[6,4,2,5,1,7,3]=>[4,7,1,5,3,6,2]=>{{1,3,4,5},{2,7},{6}}=>1
[6,4,2,5,3,1,7]=>[4,6,1,5,2,3,7]=>{{1,2,3,4,5,6},{7}}=>0
[6,4,2,5,3,7,1]=>[4,7,1,5,2,6,3]=>{{1,2,3,4,5,7},{6}}=>1
[6,4,2,5,7,1,3]=>[4,7,1,6,5,3,2]=>{{1,3,4,6},{2,7},{5}}=>2
[6,4,2,5,7,3,1]=>[4,7,1,6,5,2,3]=>{{1,2,3,4,6,7},{5}}=>2
[6,4,2,7,1,3,5]=>[6,7,1,4,3,5,2]=>{{1,3,5,6},{2,7},{4}}=>3
[6,4,2,7,1,5,3]=>[6,7,1,4,3,2,5]=>{{1,2,3,5,6,7},{4}}=>3
[6,4,2,7,3,1,5]=>[6,7,1,4,2,5,3]=>{{1,2,3,5,6,7},{4}}=>3
[6,4,2,7,3,5,1]=>[6,7,1,4,2,3,5]=>{{1,3,6},{2,5,7},{4}}=>3
[6,4,2,7,5,1,3]=>[5,6,1,4,7,3,2]=>{{1,2,3,5,6,7},{4}}=>3
[6,4,2,7,5,3,1]=>[5,6,1,4,7,2,3]=>{{1,3,5,7},{2,6},{4}}=>4
[6,4,3,1,2,5,7]=>[3,4,6,2,1,5,7]=>{{1,3,5,6},{2,4},{7}}=>2
[6,4,3,1,2,7,5]=>[3,4,7,2,1,6,5]=>{{1,3,5,7},{2,4},{6}}=>3
[6,4,3,1,5,2,7]=>[3,4,5,2,6,1,7]=>{{1,3,5,6},{2,4},{7}}=>2
[6,4,3,1,5,7,2]=>[3,4,5,2,7,6,1]=>{{1,3,5,7},{2,4},{6}}=>3
[6,4,3,1,7,2,5]=>[3,4,7,2,6,5,1]=>{{1,3,7},{2,4},{5,6}}=>2
[6,4,3,1,7,5,2]=>[3,4,7,2,6,1,5]=>{{1,3,5,6,7},{2,4}}=>3
[6,4,3,2,1,5,7]=>[3,4,6,1,2,5,7]=>{{1,2,3,4,5,6},{7}}=>0
[6,4,3,2,1,7,5]=>[3,4,7,1,2,6,5]=>{{1,2,3,4,5,7},{6}}=>1
[6,4,3,2,5,1,7]=>[3,4,5,1,6,2,7]=>{{1,2,3,4,5,6},{7}}=>0
[6,4,3,2,5,7,1]=>[3,4,5,1,7,6,2]=>{{1,2,3,4,5,7},{6}}=>1
[6,4,3,2,7,1,5]=>[3,4,7,1,6,5,2]=>{{1,2,3,4,7},{5,6}}=>1
[6,4,3,2,7,5,1]=>[3,4,7,1,6,2,5]=>{{1,2,3,4,5,6,7}}=>0
[6,4,3,5,1,2,7]=>[3,4,6,5,2,1,7]=>{{1,3,6},{2,4,5},{7}}=>1
[6,4,3,5,1,7,2]=>[3,4,7,5,2,6,1]=>{{1,3,7},{2,4,5},{6}}=>2
[6,4,3,5,2,1,7]=>[3,4,6,5,1,2,7]=>{{1,2,3,4,5,6},{7}}=>0
[6,4,3,5,2,7,1]=>[3,4,7,5,1,6,2]=>{{1,2,3,4,5,7},{6}}=>1
[6,4,3,5,7,1,2]=>[3,4,7,6,5,2,1]=>{{1,3,7},{2,4,6},{5}}=>3
[6,4,3,5,7,2,1]=>[3,4,7,6,5,1,2]=>{{1,2,3,4,6,7},{5}}=>2
[6,4,3,7,1,2,5]=>[3,6,7,4,2,5,1]=>{{1,3,7},{2,5,6},{4}}=>4
[6,4,3,7,1,5,2]=>[3,6,7,4,2,1,5]=>{{1,2,3,5,6,7},{4}}=>3
[6,4,3,7,2,1,5]=>[3,6,7,4,1,5,2]=>{{1,2,3,5,6,7},{4}}=>3
[6,4,3,7,2,5,1]=>[3,6,7,4,1,2,5]=>{{1,3,5,7},{2,6},{4}}=>4
[6,4,3,7,5,1,2]=>[3,5,6,4,7,2,1]=>{{1,2,3,5,6,7},{4}}=>3
[6,4,3,7,5,2,1]=>[3,5,6,4,7,1,2]=>{{1,3,6},{2,5,7},{4}}=>3
[6,4,5,1,2,3,7]=>[4,6,5,3,2,1,7]=>{{1,2,3,4,5,6},{7}}=>0
[6,4,5,1,2,7,3]=>[4,7,5,3,2,6,1]=>{{1,2,3,4,5,7},{6}}=>1
[6,4,5,1,3,2,7]=>[4,6,5,3,1,2,7]=>{{1,3,4,5},{2,6},{7}}=>0
[6,4,5,1,3,7,2]=>[4,7,5,3,1,6,2]=>{{1,3,4,5},{2,7},{6}}=>1
[6,4,5,1,7,2,3]=>[4,7,6,3,5,2,1]=>{{1,2,3,4,6,7},{5}}=>2
[6,4,5,1,7,3,2]=>[4,7,6,3,5,1,2]=>{{1,3,4,6},{2,7},{5}}=>2
[6,4,5,2,1,3,7]=>[4,6,5,2,3,1,7]=>{{1,2,4,6},{3,5},{7}}=>1
[6,4,5,2,1,7,3]=>[4,7,5,2,3,6,1]=>{{1,2,4,7},{3,5},{6}}=>2
[6,4,5,2,3,1,7]=>[4,6,5,2,1,3,7]=>{{1,2,3,4,5,6},{7}}=>0
[6,4,5,2,3,7,1]=>[4,7,5,2,1,6,3]=>{{1,2,3,4,5,7},{6}}=>1
[6,4,5,2,7,1,3]=>[4,7,6,2,5,3,1]=>{{1,2,4,7},{3,6},{5}}=>3
[6,4,5,2,7,3,1]=>[4,7,6,2,5,1,3]=>{{1,2,3,4,6,7},{5}}=>2
[6,4,5,3,1,2,7]=>[4,6,5,1,3,2,7]=>{{1,4},{2,6},{3,5},{7}}=>1
[6,4,5,3,1,7,2]=>[4,7,5,1,3,6,2]=>{{1,4},{2,7},{3,5},{6}}=>2
[6,4,5,3,2,1,7]=>[4,6,5,1,2,3,7]=>{{1,4},{2,3,5,6},{7}}=>0
[6,4,5,3,2,7,1]=>[4,7,5,1,2,6,3]=>{{1,4},{2,3,5,7},{6}}=>1
[6,4,5,3,7,1,2]=>[4,7,6,1,5,3,2]=>{{1,4},{2,7},{3,6},{5}}=>3
[6,4,5,3,7,2,1]=>[4,7,6,1,5,2,3]=>{{1,4},{2,3,6,7},{5}}=>2
[6,4,5,7,1,2,3]=>[5,7,6,4,3,2,1]=>{{1,2,3,5,6,7},{4}}=>3
[6,4,5,7,1,3,2]=>[5,7,6,4,3,1,2]=>{{1,3,5,6},{2,7},{4}}=>3
[6,4,5,7,2,1,3]=>[5,7,6,4,2,3,1]=>{{1,2,5,7},{3,6},{4}}=>4
[6,4,5,7,2,3,1]=>[5,7,6,4,2,1,3]=>{{1,2,3,5,6,7},{4}}=>3
[6,4,5,7,3,1,2]=>[5,7,6,4,1,3,2]=>{{1,5},{2,7},{3,6},{4}}=>4
[6,4,5,7,3,2,1]=>[5,7,6,4,1,2,3]=>{{1,5},{2,3,6,7},{4}}=>3
[6,4,7,1,2,3,5]=>[6,7,4,3,2,5,1]=>{{1,2,5,6,7},{3,4}}=>3
[6,4,7,1,2,5,3]=>[6,7,4,3,2,1,5]=>{{1,6},{2,5,7},{3,4}}=>3
[6,4,7,1,3,2,5]=>[6,7,4,3,1,5,2]=>{{1,5,6},{2,7},{3,4}}=>3
[6,4,7,1,3,5,2]=>[6,7,4,3,1,2,5]=>{{1,2,5,6,7},{3,4}}=>3
[6,4,7,1,5,2,3]=>[5,6,4,3,7,2,1]=>{{1,5,7},{2,6},{3,4}}=>4
[6,4,7,1,5,3,2]=>[5,6,4,3,7,1,2]=>{{1,2,5,6,7},{3,4}}=>3
[6,4,7,2,1,3,5]=>[6,7,4,2,3,5,1]=>{{1,2,3,4,5,6,7}}=>0
[6,4,7,2,1,5,3]=>[6,7,4,2,3,1,5]=>{{1,6},{2,3,4,5,7}}=>0
[6,4,7,2,3,1,5]=>[6,7,4,2,1,5,3]=>{{1,5,6},{2,3,4,7}}=>0
[6,4,7,2,3,5,1]=>[6,7,4,2,1,3,5]=>{{1,2,3,4,5,6,7}}=>0
[6,4,7,2,5,1,3]=>[5,6,4,2,7,3,1]=>{{1,5,7},{2,3,4,6}}=>1
[6,4,7,2,5,3,1]=>[5,6,4,2,7,1,3]=>{{1,2,3,4,5,6,7}}=>0
[6,4,7,3,1,2,5]=>[6,7,4,1,3,5,2]=>{{1,3,4,5,6},{2,7}}=>0
[6,4,7,3,1,5,2]=>[6,7,4,1,3,2,5]=>{{1,2,3,4,5,6,7}}=>0
[6,4,7,3,2,1,5]=>[6,7,4,1,2,5,3]=>{{1,2,3,4,5,6,7}}=>0
[6,4,7,3,2,5,1]=>[6,7,4,1,2,3,5]=>{{1,3,4,6},{2,5,7}}=>0
[6,4,7,3,5,1,2]=>[5,6,4,1,7,3,2]=>{{1,2,3,4,5,6,7}}=>0
[6,4,7,3,5,2,1]=>[5,6,4,1,7,2,3]=>{{1,3,4,5,7},{2,6}}=>1
[6,4,7,5,1,2,3]=>[5,7,4,6,3,2,1]=>{{1,2,3,4,5,6,7}}=>0
[6,4,7,5,1,3,2]=>[5,7,4,6,3,1,2]=>{{1,3,4,5,6},{2,7}}=>0
[6,4,7,5,2,1,3]=>[5,7,4,6,2,3,1]=>{{1,2,5,7},{3,4,6}}=>1
[6,4,7,5,2,3,1]=>[5,7,4,6,2,1,3]=>{{1,2,3,4,5,6,7}}=>0
[6,4,7,5,3,1,2]=>[5,7,4,6,1,3,2]=>{{1,5},{2,7},{3,4,6}}=>1
[6,4,7,5,3,2,1]=>[5,7,4,6,1,2,3]=>{{1,5},{2,3,4,6,7}}=>0
[6,5,1,2,3,4,7]=>[5,6,2,3,4,1,7]=>{{1,2,3,4,5,6},{7}}=>0
[6,5,1,2,3,7,4]=>[5,7,2,3,4,6,1]=>{{1,2,3,4,5,7},{6}}=>1
[6,5,1,2,4,3,7]=>[5,6,2,3,1,4,7]=>{{1,5},{2,3,4,6},{7}}=>0
[6,5,1,2,4,7,3]=>[5,7,2,3,1,6,4]=>{{1,5},{2,3,4,7},{6}}=>1
[6,5,1,2,7,3,4]=>[6,7,2,3,5,4,1]=>{{1,2,3,4,6,7},{5}}=>2
[6,5,1,2,7,4,3]=>[6,7,2,3,5,1,4]=>{{1,6},{2,3,4,7},{5}}=>2
[6,5,1,3,2,4,7]=>[5,6,2,1,4,3,7]=>{{1,4,5},{2,3,6},{7}}=>0
[6,5,1,3,2,7,4]=>[5,7,2,1,4,6,3]=>{{1,4,5},{2,3,7},{6}}=>1
[6,5,1,3,4,2,7]=>[5,6,2,1,3,4,7]=>{{1,2,3,4,5,6},{7}}=>0
[6,5,1,3,4,7,2]=>[5,7,2,1,3,6,4]=>{{1,2,3,4,5,7},{6}}=>1
[6,5,1,3,7,2,4]=>[6,7,2,1,5,4,3]=>{{1,4,6},{2,3,7},{5}}=>2
[6,5,1,3,7,4,2]=>[6,7,2,1,5,3,4]=>{{1,2,3,4,6,7},{5}}=>2
[6,5,1,4,2,3,7]=>[4,5,2,6,3,1,7]=>{{1,4,6},{2,3,5},{7}}=>1
[6,5,1,4,2,7,3]=>[4,5,2,7,3,6,1]=>{{1,4,7},{2,3,5},{6}}=>2
[6,5,1,4,3,2,7]=>[4,5,2,6,1,3,7]=>{{1,2,3,4,5,6},{7}}=>0
[6,5,1,4,3,7,2]=>[4,5,2,7,1,6,3]=>{{1,2,3,4,5,7},{6}}=>1
[6,5,1,4,7,2,3]=>[4,6,2,7,5,3,1]=>{{1,4,7},{2,3,6},{5}}=>3
[6,5,1,4,7,3,2]=>[4,6,2,7,5,1,3]=>{{1,2,3,4,6,7},{5}}=>2
[6,5,1,7,2,3,4]=>[6,7,2,5,4,3,1]=>{{1,2,3,6,7},{4,5}}=>2
[6,5,1,7,2,4,3]=>[6,7,2,5,4,1,3]=>{{1,6},{2,3,7},{4,5}}=>2
[6,5,1,7,3,2,4]=>[6,7,2,5,3,4,1]=>{{1,2,3,4,5,6,7}}=>0
[6,5,1,7,3,4,2]=>[6,7,2,5,3,1,4]=>{{1,6},{2,3,4,5,7}}=>0
[6,5,1,7,4,2,3]=>[6,7,2,5,1,4,3]=>{{1,4,5,6},{2,3,7}}=>0
[6,5,1,7,4,3,2]=>[6,7,2,5,1,3,4]=>{{1,2,3,4,5,6,7}}=>0
[6,5,2,1,3,4,7]=>[5,6,1,3,4,2,7]=>{{1,3,4,5},{2,6},{7}}=>0
[6,5,2,1,3,7,4]=>[5,7,1,3,4,6,2]=>{{1,3,4,5},{2,7},{6}}=>1
[6,5,2,1,4,3,7]=>[5,6,1,3,2,4,7]=>{{1,2,3,4,5,6},{7}}=>0
[6,5,2,1,4,7,3]=>[5,7,1,3,2,6,4]=>{{1,2,3,4,5,7},{6}}=>1
[6,5,2,1,7,3,4]=>[6,7,1,3,5,4,2]=>{{1,3,4,6},{2,7},{5}}=>2
[6,5,2,1,7,4,3]=>[6,7,1,3,5,2,4]=>{{1,2,3,4,6,7},{5}}=>2
[6,5,2,3,1,4,7]=>[5,6,1,2,4,3,7]=>{{1,2,3,4,5,6},{7}}=>0
[6,5,2,3,1,7,4]=>[5,7,1,2,4,6,3]=>{{1,2,3,4,5,7},{6}}=>1
[6,5,2,3,4,1,7]=>[5,6,1,2,3,4,7]=>{{1,3,5},{2,4,6},{7}}=>0
[6,5,2,3,4,7,1]=>[5,7,1,2,3,6,4]=>{{1,3,5},{2,4,7},{6}}=>1
[6,5,2,3,7,1,4]=>[6,7,1,2,5,4,3]=>{{1,2,3,4,6,7},{5}}=>2
[6,5,2,3,7,4,1]=>[6,7,1,2,5,3,4]=>{{1,3,6},{2,4,7},{5}}=>2
[6,5,2,4,1,3,7]=>[4,5,1,6,3,2,7]=>{{1,2,3,4,5,6},{7}}=>0
[6,5,2,4,1,7,3]=>[4,5,1,7,3,6,2]=>{{1,2,3,4,5,7},{6}}=>1
[6,5,2,4,3,1,7]=>[4,5,1,6,2,3,7]=>{{1,3,4,6},{2,5},{7}}=>1
[6,5,2,4,3,7,1]=>[4,5,1,7,2,6,3]=>{{1,3,4,7},{2,5},{6}}=>2
[6,5,2,4,7,1,3]=>[4,6,1,7,5,3,2]=>{{1,2,3,4,6,7},{5}}=>2
[6,5,2,4,7,3,1]=>[4,6,1,7,5,2,3]=>{{1,3,4,7},{2,6},{5}}=>3
[6,5,2,7,1,3,4]=>[6,7,1,5,4,3,2]=>{{1,3,6},{2,7},{4,5}}=>2
[6,5,2,7,1,4,3]=>[6,7,1,5,4,2,3]=>{{1,2,3,6,7},{4,5}}=>2
[6,5,2,7,3,1,4]=>[6,7,1,5,3,4,2]=>{{1,3,4,5,6},{2,7}}=>0
[6,5,2,7,3,4,1]=>[6,7,1,5,3,2,4]=>{{1,2,3,4,5,6,7}}=>0
[6,5,2,7,4,1,3]=>[6,7,1,5,2,4,3]=>{{1,2,3,4,5,6,7}}=>0
[6,5,2,7,4,3,1]=>[6,7,1,5,2,3,4]=>{{1,3,6},{2,4,5,7}}=>0
[6,5,3,1,2,4,7]=>[3,5,6,2,4,1,7]=>{{1,3,6},{2,4,5},{7}}=>1
[6,5,3,1,2,7,4]=>[3,5,7,2,4,6,1]=>{{1,3,7},{2,4,5},{6}}=>2
[6,5,3,1,4,2,7]=>[3,5,6,2,1,4,7]=>{{1,2,3,4,5,6},{7}}=>0
[6,5,3,1,4,7,2]=>[3,5,7,2,1,6,4]=>{{1,2,3,4,5,7},{6}}=>1
[6,5,3,1,7,2,4]=>[3,6,7,2,5,4,1]=>{{1,3,7},{2,4,6},{5}}=>3
[6,5,3,1,7,4,2]=>[3,6,7,2,5,1,4]=>{{1,2,3,4,6,7},{5}}=>2
[6,5,3,2,1,4,7]=>[3,5,6,1,4,2,7]=>{{1,2,3,4,5,6},{7}}=>0
[6,5,3,2,1,7,4]=>[3,5,7,1,4,6,2]=>{{1,2,3,4,5,7},{6}}=>1
[6,5,3,2,4,1,7]=>[3,5,6,1,2,4,7]=>{{1,3,4,6},{2,5},{7}}=>1
[6,5,3,2,4,7,1]=>[3,5,7,1,2,6,4]=>{{1,3,4,7},{2,5},{6}}=>2
[6,5,3,2,7,1,4]=>[3,6,7,1,5,4,2]=>{{1,2,3,4,6,7},{5}}=>2
[6,5,3,2,7,4,1]=>[3,6,7,1,5,2,4]=>{{1,3,4,7},{2,6},{5}}=>3
[6,5,3,4,1,2,7]=>[3,4,5,6,2,1,7]=>{{1,2,3,4,5,6},{7}}=>0
[6,5,3,4,1,7,2]=>[3,4,5,7,2,6,1]=>{{1,2,3,4,5,7},{6}}=>1
[6,5,3,4,2,1,7]=>[3,4,5,6,1,2,7]=>{{1,3,5},{2,4,6},{7}}=>0
[6,5,3,4,2,7,1]=>[3,4,5,7,1,6,2]=>{{1,3,5},{2,4,7},{6}}=>1
[6,5,3,4,7,1,2]=>[3,4,6,7,5,2,1]=>{{1,2,3,4,6,7},{5}}=>2
[6,5,3,4,7,2,1]=>[3,4,6,7,5,1,2]=>{{1,3,6},{2,4,7},{5}}=>2
[6,5,3,7,1,2,4]=>[3,6,7,5,4,2,1]=>{{1,3,7},{2,6},{4,5}}=>3
[6,5,3,7,1,4,2]=>[3,6,7,5,4,1,2]=>{{1,2,3,6,7},{4,5}}=>2
[6,5,3,7,2,1,4]=>[3,6,7,5,2,4,1]=>{{1,3,7},{2,4,5,6}}=>1
[6,5,3,7,2,4,1]=>[3,6,7,5,2,1,4]=>{{1,2,3,4,5,6,7}}=>0
[6,5,3,7,4,1,2]=>[3,6,7,5,1,4,2]=>{{1,2,3,4,5,6,7}}=>0
[6,5,3,7,4,2,1]=>[3,6,7,5,1,2,4]=>{{1,3,4,5,7},{2,6}}=>1
[6,5,4,1,2,3,7]=>[4,5,6,3,2,1,7]=>{{1,3,4,6},{2,5},{7}}=>1
[6,5,4,1,2,7,3]=>[4,5,7,3,2,6,1]=>{{1,3,4,7},{2,5},{6}}=>2
[6,5,4,1,3,2,7]=>[4,5,6,3,1,2,7]=>{{1,2,3,4,5,6},{7}}=>0
[6,5,4,1,3,7,2]=>[4,5,7,3,1,6,2]=>{{1,2,3,4,5,7},{6}}=>1
[6,5,4,1,7,2,3]=>[4,6,7,3,5,2,1]=>{{1,3,4,7},{2,6},{5}}=>3
[6,5,4,1,7,3,2]=>[4,6,7,3,5,1,2]=>{{1,2,3,4,6,7},{5}}=>2
[6,5,4,2,1,3,7]=>[4,5,6,2,3,1,7]=>{{1,2,3,4,5,6},{7}}=>0
[6,5,4,2,1,7,3]=>[4,5,7,2,3,6,1]=>{{1,2,3,4,5,7},{6}}=>1
[6,5,4,2,3,1,7]=>[4,5,6,2,1,3,7]=>{{1,2,4,5},{3,6},{7}}=>0
[6,5,4,2,3,7,1]=>[4,5,7,2,1,6,3]=>{{1,2,4,5},{3,7},{6}}=>1
[6,5,4,2,7,1,3]=>[4,6,7,2,5,3,1]=>{{1,2,3,4,6,7},{5}}=>2
[6,5,4,2,7,3,1]=>[4,6,7,2,5,1,3]=>{{1,2,4,6},{3,7},{5}}=>2
[6,5,4,3,1,2,7]=>[4,5,6,1,3,2,7]=>{{1,4},{2,3,5,6},{7}}=>0
[6,5,4,3,1,7,2]=>[4,5,7,1,3,6,2]=>{{1,4},{2,3,5,7},{6}}=>1
[6,5,4,3,2,1,7]=>[4,5,6,1,2,3,7]=>{{1,4},{2,5},{3,6},{7}}=>0
[6,5,4,3,2,7,1]=>[4,5,7,1,2,6,3]=>{{1,4},{2,5},{3,7},{6}}=>1
[6,5,4,3,7,1,2]=>[4,6,7,1,5,3,2]=>{{1,4},{2,3,6,7},{5}}=>2
[6,5,4,3,7,2,1]=>[4,6,7,1,5,2,3]=>{{1,4},{2,6},{3,7},{5}}=>2
[6,5,4,7,1,2,3]=>[5,6,7,4,3,2,1]=>{{1,3,5,7},{2,6},{4}}=>4
[6,5,4,7,1,3,2]=>[5,6,7,4,3,1,2]=>{{1,2,3,5,6,7},{4}}=>3
[6,5,4,7,2,1,3]=>[5,6,7,4,2,3,1]=>{{1,2,3,5,6,7},{4}}=>3
[6,5,4,7,2,3,1]=>[5,6,7,4,2,1,3]=>{{1,2,5,6},{3,7},{4}}=>3
[6,5,4,7,3,1,2]=>[5,6,7,4,1,3,2]=>{{1,5},{2,3,6,7},{4}}=>3
[6,5,4,7,3,2,1]=>[5,6,7,4,1,2,3]=>{{1,5},{2,6},{3,7},{4}}=>3
[6,5,7,1,2,3,4]=>[6,7,5,3,4,2,1]=>{{1,2,6,7},{3,4,5}}=>2
[6,5,7,1,2,4,3]=>[6,7,5,3,4,1,2]=>{{1,6},{2,7},{3,4,5}}=>2
[6,5,7,1,3,2,4]=>[6,7,5,3,2,4,1]=>{{1,2,3,4,5,6,7}}=>0
[6,5,7,1,3,4,2]=>[6,7,5,3,2,1,4]=>{{1,6},{2,3,4,5,7}}=>0
[6,5,7,1,4,2,3]=>[6,7,5,3,1,4,2]=>{{1,3,4,5,6},{2,7}}=>0
[6,5,7,1,4,3,2]=>[6,7,5,3,1,2,4]=>{{1,2,3,4,5,6,7}}=>0
[6,5,7,2,1,3,4]=>[6,7,5,2,4,3,1]=>{{1,2,3,4,5,6,7}}=>0
[6,5,7,2,1,4,3]=>[6,7,5,2,4,1,3]=>{{1,6},{2,3,4,5,7}}=>0
[6,5,7,2,3,1,4]=>[6,7,5,2,3,4,1]=>{{1,2,4,6,7},{3,5}}=>2
[6,5,7,2,3,4,1]=>[6,7,5,2,3,1,4]=>{{1,6},{2,4,7},{3,5}}=>2
[6,5,7,2,4,1,3]=>[6,7,5,2,1,4,3]=>{{1,2,3,4,5,6,7}}=>0
[6,5,7,2,4,3,1]=>[6,7,5,2,1,3,4]=>{{1,3,5,6},{2,4,7}}=>0
[6,5,7,3,1,2,4]=>[6,7,5,1,4,3,2]=>{{1,3,4,5,6},{2,7}}=>0
[6,5,7,3,1,4,2]=>[6,7,5,1,4,2,3]=>{{1,2,3,4,5,6,7}}=>0
[6,5,7,3,2,1,4]=>[6,7,5,1,3,4,2]=>{{1,4,6},{2,7},{3,5}}=>2
[6,5,7,3,2,4,1]=>[6,7,5,1,3,2,4]=>{{1,2,4,6,7},{3,5}}=>2
[6,5,7,3,4,1,2]=>[6,7,5,1,2,4,3]=>{{1,4,6},{2,3,5,7}}=>0
[6,5,7,3,4,2,1]=>[6,7,5,1,2,3,4]=>{{1,2,3,4,5,6,7}}=>0
[6,5,7,4,1,2,3]=>[5,6,4,7,3,2,1]=>{{1,3,4,5,7},{2,6}}=>1
[6,5,7,4,1,3,2]=>[5,6,4,7,3,1,2]=>{{1,2,3,4,5,6,7}}=>0
[6,5,7,4,2,1,3]=>[5,6,4,7,2,3,1]=>{{1,2,3,4,5,6,7}}=>0
[6,5,7,4,2,3,1]=>[5,6,4,7,2,1,3]=>{{1,2,5,6},{3,4,7}}=>0
[6,5,7,4,3,1,2]=>[5,6,4,7,1,3,2]=>{{1,5},{2,3,4,6,7}}=>0
[6,5,7,4,3,2,1]=>[5,6,4,7,1,2,3]=>{{1,5},{2,6},{3,4,7}}=>0
[6,7,1,2,3,4,5]=>[7,6,2,3,4,5,1]=>{{1,7},{2,3,4,5,6}}=>1
[6,7,1,2,3,5,4]=>[7,6,2,3,4,1,5]=>{{1,2,3,4,5,6,7}}=>0
[6,7,1,2,4,3,5]=>[7,6,2,3,1,5,4]=>{{1,2,3,4,5,6,7}}=>0
[6,7,1,2,4,5,3]=>[7,6,2,3,1,4,5]=>{{1,5,7},{2,3,4,6}}=>1
[6,7,1,2,5,3,4]=>[6,5,2,3,7,4,1]=>{{1,2,3,4,5,6,7}}=>0
[6,7,1,2,5,4,3]=>[6,5,2,3,7,1,4]=>{{1,6},{2,3,4,5,7}}=>0
[6,7,1,3,2,4,5]=>[7,6,2,1,4,5,3]=>{{1,2,3,4,5,6,7}}=>0
[6,7,1,3,2,5,4]=>[7,6,2,1,4,3,5]=>{{1,4,5,7},{2,3,6}}=>1
[6,7,1,3,4,2,5]=>[7,6,2,1,3,5,4]=>{{1,4,7},{2,3,5,6}}=>1
[6,7,1,3,4,5,2]=>[7,6,2,1,3,4,5]=>{{1,2,3,4,5,6,7}}=>0
[6,7,1,3,5,2,4]=>[6,5,2,1,7,4,3]=>{{1,4,6},{2,3,5,7}}=>0
[6,7,1,3,5,4,2]=>[6,5,2,1,7,3,4]=>{{1,2,3,4,5,6,7}}=>0
[6,7,1,4,2,3,5]=>[6,4,2,7,3,5,1]=>{{1,2,3,4,5,6,7}}=>0
[6,7,1,4,2,5,3]=>[6,4,2,7,3,1,5]=>{{1,6},{2,3,4,5,7}}=>0
[6,7,1,4,3,2,5]=>[6,4,2,7,1,5,3]=>{{1,5,6},{2,3,4,7}}=>0
[6,7,1,4,3,5,2]=>[6,4,2,7,1,3,5]=>{{1,2,3,4,5,6,7}}=>0
[6,7,1,4,5,2,3]=>[5,4,2,6,7,3,1]=>{{1,5,7},{2,3,4,6}}=>1
[6,7,1,4,5,3,2]=>[5,4,2,6,7,1,3]=>{{1,2,3,4,5,6,7}}=>0
[6,7,1,5,2,3,4]=>[6,5,2,7,4,3,1]=>{{1,2,3,4,5,6,7}}=>0
[6,7,1,5,2,4,3]=>[6,5,2,7,4,1,3]=>{{1,6},{2,3,4,5,7}}=>0
[6,7,1,5,3,2,4]=>[6,5,2,7,3,4,1]=>{{1,4,6,7},{2,3,5}}=>2
[6,7,1,5,3,4,2]=>[6,5,2,7,3,1,4]=>{{1,6},{2,3,5},{4,7}}=>1
[6,7,1,5,4,2,3]=>[6,5,2,7,1,4,3]=>{{1,2,3,4,5,6,7}}=>0
[6,7,1,5,4,3,2]=>[6,5,2,7,1,3,4]=>{{1,2,3,5,6},{4,7}}=>0
[6,7,2,1,3,4,5]=>[7,6,1,3,4,5,2]=>{{1,2,3,4,5,6,7}}=>0
[6,7,2,1,3,5,4]=>[7,6,1,3,4,2,5]=>{{1,3,4,5,7},{2,6}}=>1
[6,7,2,1,4,3,5]=>[7,6,1,3,2,5,4]=>{{1,3,4,7},{2,5,6}}=>1
[6,7,2,1,4,5,3]=>[7,6,1,3,2,4,5]=>{{1,2,3,4,5,6,7}}=>0
[6,7,2,1,5,3,4]=>[6,5,1,3,7,4,2]=>{{1,3,4,6},{2,5,7}}=>0
[6,7,2,1,5,4,3]=>[6,5,1,3,7,2,4]=>{{1,2,3,4,5,6,7}}=>0
[6,7,2,3,1,4,5]=>[7,6,1,2,4,5,3]=>{{1,3,7},{2,4,5,6}}=>1
[6,7,2,3,1,5,4]=>[7,6,1,2,4,3,5]=>{{1,2,3,4,5,6,7}}=>0
[6,7,2,3,4,1,5]=>[7,6,1,2,3,5,4]=>{{1,2,3,4,5,6,7}}=>0
[6,7,2,3,4,5,1]=>[7,6,1,2,3,4,5]=>{{1,3,5,7},{2,4,6}}=>1
[6,7,2,3,5,1,4]=>[6,5,1,2,7,4,3]=>{{1,2,3,4,5,6,7}}=>0
[6,7,2,3,5,4,1]=>[6,5,1,2,7,3,4]=>{{1,3,6},{2,4,5,7}}=>0
[6,7,2,4,1,3,5]=>[6,4,1,7,3,5,2]=>{{1,3,5,6},{2,4,7}}=>0
[6,7,2,4,1,5,3]=>[6,4,1,7,3,2,5]=>{{1,2,3,4,5,6,7}}=>0
[6,7,2,4,3,1,5]=>[6,4,1,7,2,5,3]=>{{1,2,3,4,5,6,7}}=>0
[6,7,2,4,3,5,1]=>[6,4,1,7,2,3,5]=>{{1,3,6},{2,4,5,7}}=>0
[6,7,2,4,5,1,3]=>[5,4,1,6,7,3,2]=>{{1,2,3,4,5,6,7}}=>0
[6,7,2,4,5,3,1]=>[5,4,1,6,7,2,3]=>{{1,3,5,7},{2,4,6}}=>1
[6,7,2,5,1,3,4]=>[6,5,1,7,4,3,2]=>{{1,3,6},{2,4,5,7}}=>0
[6,7,2,5,1,4,3]=>[6,5,1,7,4,2,3]=>{{1,2,3,4,5,6,7}}=>0
[6,7,2,5,3,1,4]=>[6,5,1,7,3,4,2]=>{{1,2,3,4,5,6,7}}=>0
[6,7,2,5,3,4,1]=>[6,5,1,7,3,2,4]=>{{1,2,3,5,6},{4,7}}=>0
[6,7,2,5,4,1,3]=>[6,5,1,7,2,4,3]=>{{1,3,4,6,7},{2,5}}=>2
[6,7,2,5,4,3,1]=>[6,5,1,7,2,3,4]=>{{1,3,6},{2,5},{4,7}}=>1
[6,7,3,1,2,4,5]=>[6,3,7,2,4,5,1]=>{{1,2,3,4,5,6,7}}=>0
[6,7,3,1,2,5,4]=>[6,3,7,2,4,1,5]=>{{1,6},{2,3,4,5,7}}=>0
[6,7,3,1,4,2,5]=>[6,3,7,2,1,5,4]=>{{1,5,6},{2,3,4,7}}=>0
[6,7,3,1,4,5,2]=>[6,3,7,2,1,4,5]=>{{1,2,3,4,5,6,7}}=>0
[6,7,3,1,5,2,4]=>[5,3,6,2,7,4,1]=>{{1,5,7},{2,3,4,6}}=>1
[6,7,3,1,5,4,2]=>[5,3,6,2,7,1,4]=>{{1,2,3,4,5,6,7}}=>0
[6,7,3,2,1,4,5]=>[6,3,7,1,4,5,2]=>{{1,4,5,6},{2,3,7}}=>0
[6,7,3,2,1,5,4]=>[6,3,7,1,4,2,5]=>{{1,2,3,4,5,6,7}}=>0
[6,7,3,2,4,1,5]=>[6,3,7,1,2,5,4]=>{{1,2,3,4,5,6,7}}=>0
[6,7,3,2,4,5,1]=>[6,3,7,1,2,4,5]=>{{1,4,6},{2,3,5,7}}=>0
[6,7,3,2,5,1,4]=>[5,3,6,1,7,4,2]=>{{1,2,3,4,5,6,7}}=>0
[6,7,3,2,5,4,1]=>[5,3,6,1,7,2,4]=>{{1,4,5,7},{2,3,6}}=>1
[6,7,3,4,1,2,5]=>[4,3,6,7,2,5,1]=>{{1,4,7},{2,3,5,6}}=>1
[6,7,3,4,1,5,2]=>[4,3,6,7,2,1,5]=>{{1,2,3,4,5,6,7}}=>0
[6,7,3,4,2,1,5]=>[4,3,6,7,1,5,2]=>{{1,2,3,4,5,6,7}}=>0
[6,7,3,4,2,5,1]=>[4,3,6,7,1,2,5]=>{{1,4,5,7},{2,3,6}}=>1
[6,7,3,4,5,1,2]=>[4,3,5,6,7,2,1]=>{{1,2,3,4,5,6,7}}=>0
[6,7,3,4,5,2,1]=>[4,3,5,6,7,1,2]=>{{1,4,6},{2,3,5,7}}=>0
[6,7,3,5,1,2,4]=>[5,3,6,7,4,2,1]=>{{1,4,5,7},{2,3,6}}=>1
[6,7,3,5,1,4,2]=>[5,3,6,7,4,1,2]=>{{1,2,3,4,5,6,7}}=>0
[6,7,3,5,2,1,4]=>[5,3,6,7,2,4,1]=>{{1,2,3,4,5,6,7}}=>0
[6,7,3,5,2,4,1]=>[5,3,6,7,2,1,4]=>{{1,2,3,5,6},{4,7}}=>0
[6,7,3,5,4,1,2]=>[5,3,6,7,1,4,2]=>{{1,5},{2,3,4,6,7}}=>0
[6,7,3,5,4,2,1]=>[5,3,6,7,1,2,4]=>{{1,5},{2,3,6},{4,7}}=>0
[6,7,4,1,2,3,5]=>[6,4,7,3,2,5,1]=>{{1,2,3,4,5,6,7}}=>0
[6,7,4,1,2,5,3]=>[6,4,7,3,2,1,5]=>{{1,6},{2,3,4,5,7}}=>0
[6,7,4,1,3,2,5]=>[6,4,7,3,1,5,2]=>{{1,5,6},{2,3,4,7}}=>0
[6,7,4,1,3,5,2]=>[6,4,7,3,1,2,5]=>{{1,2,3,4,5,6,7}}=>0
[6,7,4,1,5,2,3]=>[5,4,6,3,7,2,1]=>{{1,5,7},{2,3,4,6}}=>1
[6,7,4,1,5,3,2]=>[5,4,6,3,7,1,2]=>{{1,2,3,4,5,6,7}}=>0
[6,7,4,2,1,3,5]=>[6,4,7,2,3,5,1]=>{{1,3,5,6,7},{2,4}}=>3
[6,7,4,2,1,5,3]=>[6,4,7,2,3,1,5]=>{{1,6},{2,4},{3,5,7}}=>1
[6,7,4,2,3,1,5]=>[6,4,7,2,1,5,3]=>{{1,5,6},{2,4},{3,7}}=>2
[6,7,4,2,3,5,1]=>[6,4,7,2,1,3,5]=>{{1,3,5,6,7},{2,4}}=>3
[6,7,4,2,5,1,3]=>[5,4,6,2,7,3,1]=>{{1,5,7},{2,4},{3,6}}=>3
[6,7,4,2,5,3,1]=>[5,4,6,2,7,1,3]=>{{1,3,5,6,7},{2,4}}=>3
[6,7,4,3,1,2,5]=>[6,4,7,1,3,5,2]=>{{1,2,3,4,5,6,7}}=>0
[6,7,4,3,1,5,2]=>[6,4,7,1,3,2,5]=>{{1,2,4,6},{3,5,7}}=>0
[6,7,4,3,2,1,5]=>[6,4,7,1,2,5,3]=>{{1,2,4,5,6},{3,7}}=>0
[6,7,4,3,2,5,1]=>[6,4,7,1,2,3,5]=>{{1,2,3,4,5,6,7}}=>0
[6,7,4,3,5,1,2]=>[5,4,6,1,7,3,2]=>{{1,2,4,5,7},{3,6}}=>1
[6,7,4,3,5,2,1]=>[5,4,6,1,7,2,3]=>{{1,2,3,4,5,6,7}}=>0
[6,7,4,5,1,2,3]=>[5,4,7,6,3,2,1]=>{{1,3,5,7},{2,4,6}}=>1
[6,7,4,5,1,3,2]=>[5,4,7,6,3,1,2]=>{{1,2,3,4,5,6,7}}=>0
[6,7,4,5,2,1,3]=>[5,4,7,6,2,3,1]=>{{1,2,3,4,5,6,7}}=>0
[6,7,4,5,2,3,1]=>[5,4,7,6,2,1,3]=>{{1,2,4,5,6},{3,7}}=>0
[6,7,4,5,3,1,2]=>[5,4,7,6,1,3,2]=>{{1,5},{2,3,4,6,7}}=>0
[6,7,4,5,3,2,1]=>[5,4,7,6,1,2,3]=>{{1,5},{2,4,6},{3,7}}=>0
[6,7,5,1,2,3,4]=>[6,5,7,3,4,2,1]=>{{1,2,3,4,5,6,7}}=>0
[6,7,5,1,2,4,3]=>[6,5,7,3,4,1,2]=>{{1,6},{2,3,4,5,7}}=>0
[6,7,5,1,3,2,4]=>[6,5,7,3,2,4,1]=>{{1,3,4,6,7},{2,5}}=>2
[6,7,5,1,3,4,2]=>[6,5,7,3,2,1,4]=>{{1,6},{2,5},{3,4,7}}=>1
[6,7,5,1,4,2,3]=>[6,5,7,3,1,4,2]=>{{1,2,3,4,5,6,7}}=>0
[6,7,5,1,4,3,2]=>[6,5,7,3,1,2,4]=>{{1,2,5,6},{3,4,7}}=>0
[6,7,5,2,1,3,4]=>[6,5,7,2,4,3,1]=>{{1,3,6,7},{2,4,5}}=>2
[6,7,5,2,1,4,3]=>[6,5,7,2,4,1,3]=>{{1,6},{2,4,5},{3,7}}=>1
[6,7,5,2,3,1,4]=>[6,5,7,2,3,4,1]=>{{1,2,3,4,5,6,7}}=>0
[6,7,5,2,3,4,1]=>[6,5,7,2,3,1,4]=>{{1,6},{2,3,4,5,7}}=>0
[6,7,5,2,4,1,3]=>[6,5,7,2,1,4,3]=>{{1,2,4,5,6},{3,7}}=>0
[6,7,5,2,4,3,1]=>[6,5,7,2,1,3,4]=>{{1,2,3,4,5,6,7}}=>0
[6,7,5,3,1,2,4]=>[6,5,7,1,4,3,2]=>{{1,2,3,4,5,6,7}}=>0
[6,7,5,3,1,4,2]=>[6,5,7,1,4,2,3]=>{{1,2,4,5,6},{3,7}}=>0
[6,7,5,3,2,1,4]=>[6,5,7,1,3,4,2]=>{{1,4,6},{2,3,5,7}}=>0
[6,7,5,3,2,4,1]=>[6,5,7,1,3,2,4]=>{{1,2,3,4,5,6,7}}=>0
[6,7,5,3,4,1,2]=>[6,5,7,1,2,4,3]=>{{1,4,6},{2,5},{3,7}}=>1
[6,7,5,3,4,2,1]=>[6,5,7,1,2,3,4]=>{{1,3,4,6,7},{2,5}}=>2
[6,7,5,4,1,2,3]=>[5,4,6,7,3,2,1]=>{{1,2,3,4,5,6,7}}=>0
[6,7,5,4,1,3,2]=>[5,4,6,7,3,1,2]=>{{1,3,5,6},{2,4,7}}=>0
[6,7,5,4,2,1,3]=>[5,4,6,7,2,3,1]=>{{1,2,4,5,7},{3,6}}=>1
[6,7,5,4,2,3,1]=>[5,4,6,7,2,1,3]=>{{1,2,3,4,5,6,7}}=>0
[6,7,5,4,3,1,2]=>[5,4,6,7,1,3,2]=>{{1,5},{2,4,7},{3,6}}=>1
[6,7,5,4,3,2,1]=>[5,4,6,7,1,2,3]=>{{1,5},{2,3,4,6,7}}=>0
[7,1,2,3,4,5,6]=>[7,1,2,3,4,5,6]=>{{1,2,3,4,5,6,7}}=>0
[7,1,2,3,4,6,5]=>[6,1,2,3,4,7,5]=>{{1,2,3,4,5,6,7}}=>0
[7,1,2,3,5,4,6]=>[5,1,2,3,7,4,6]=>{{1,2,3,4,5,6,7}}=>0
[7,1,2,3,5,6,4]=>[5,1,2,3,6,7,4]=>{{1,2,3,4,5,6,7}}=>0
[7,1,2,3,6,4,5]=>[6,1,2,3,7,5,4]=>{{1,2,3,4,5,6,7}}=>0
[7,1,2,3,6,5,4]=>[6,1,2,3,7,4,5]=>{{1,2,3,4,6},{5,7}}=>0
[7,1,2,4,3,5,6]=>[4,1,2,7,3,5,6]=>{{1,2,3,4,5,6,7}}=>0
[7,1,2,4,3,6,5]=>[4,1,2,6,3,7,5]=>{{1,2,3,4,5,6,7}}=>0
[7,1,2,4,5,3,6]=>[4,1,2,5,7,3,6]=>{{1,2,3,4,5,6,7}}=>0
[7,1,2,4,5,6,3]=>[4,1,2,5,6,7,3]=>{{1,2,3,4,5,6,7}}=>0
[7,1,2,4,6,3,5]=>[4,1,2,6,7,5,3]=>{{1,2,3,4,5,6,7}}=>0
[7,1,2,4,6,5,3]=>[4,1,2,6,7,3,5]=>{{1,2,3,4,6},{5,7}}=>0
[7,1,2,5,3,4,6]=>[5,1,2,7,4,3,6]=>{{1,2,3,4,5,6,7}}=>0
[7,1,2,5,3,6,4]=>[5,1,2,6,4,7,3]=>{{1,2,3,4,5,6,7}}=>0
[7,1,2,5,4,3,6]=>[5,1,2,7,3,4,6]=>{{1,2,3,5},{4,6,7}}=>0
[7,1,2,5,4,6,3]=>[5,1,2,6,3,7,4]=>{{1,2,3,5},{4,6,7}}=>0
[7,1,2,5,6,3,4]=>[5,1,2,7,6,4,3]=>{{1,2,3,4,5,6,7}}=>0
[7,1,2,5,6,4,3]=>[5,1,2,7,6,3,4]=>{{1,2,3,5,6},{4,7}}=>0
[7,1,2,6,3,4,5]=>[6,1,2,7,4,5,3]=>{{1,2,3,4,5,6,7}}=>0
[7,1,2,6,3,5,4]=>[6,1,2,7,4,3,5]=>{{1,2,3,6},{4,5,7}}=>0
[7,1,2,6,4,3,5]=>[6,1,2,7,3,5,4]=>{{1,2,3,5,6},{4,7}}=>0
[7,1,2,6,4,5,3]=>[6,1,2,7,3,4,5]=>{{1,2,3,4,5,6,7}}=>0
[7,1,2,6,5,3,4]=>[5,1,2,6,7,4,3]=>{{1,2,3,5,7},{4,6}}=>1
[7,1,2,6,5,4,3]=>[5,1,2,6,7,3,4]=>{{1,2,3,4,5,6,7}}=>0
[7,1,3,2,4,5,6]=>[3,1,7,2,4,5,6]=>{{1,2,3,4,5,6,7}}=>0
[7,1,3,2,4,6,5]=>[3,1,6,2,4,7,5]=>{{1,2,3,4,5,6,7}}=>0
[7,1,3,2,5,4,6]=>[3,1,5,2,7,4,6]=>{{1,2,3,4,5,6,7}}=>0
[7,1,3,2,5,6,4]=>[3,1,5,2,6,7,4]=>{{1,2,3,4,5,6,7}}=>0
[7,1,3,2,6,4,5]=>[3,1,6,2,7,5,4]=>{{1,2,3,4,5,6,7}}=>0
[7,1,3,2,6,5,4]=>[3,1,6,2,7,4,5]=>{{1,2,3,4,6},{5,7}}=>0
[7,1,3,4,2,5,6]=>[3,1,4,7,2,5,6]=>{{1,2,3,4,5,6,7}}=>0
[7,1,3,4,2,6,5]=>[3,1,4,6,2,7,5]=>{{1,2,3,4,5,6,7}}=>0
[7,1,3,4,5,2,6]=>[3,1,4,5,7,2,6]=>{{1,2,3,4,5,6,7}}=>0
[7,1,3,4,5,6,2]=>[3,1,4,5,6,7,2]=>{{1,2,3,4,5,6,7}}=>0
[7,1,3,4,6,2,5]=>[3,1,4,6,7,5,2]=>{{1,2,3,4,5,6,7}}=>0
[7,1,3,4,6,5,2]=>[3,1,4,6,7,2,5]=>{{1,2,3,4,6},{5,7}}=>0
[7,1,3,5,2,4,6]=>[3,1,5,7,4,2,6]=>{{1,2,3,4,5,6,7}}=>0
[7,1,3,5,2,6,4]=>[3,1,5,6,4,7,2]=>{{1,2,3,4,5,6,7}}=>0
[7,1,3,5,4,2,6]=>[3,1,5,7,2,4,6]=>{{1,2,3,5},{4,6,7}}=>0
[7,1,3,5,4,6,2]=>[3,1,5,6,2,7,4]=>{{1,2,3,5},{4,6,7}}=>0
[7,1,3,5,6,2,4]=>[3,1,5,7,6,4,2]=>{{1,2,3,4,5,6,7}}=>0
[7,1,3,5,6,4,2]=>[3,1,5,7,6,2,4]=>{{1,2,3,5,6},{4,7}}=>0
[7,1,3,6,2,4,5]=>[3,1,6,7,4,5,2]=>{{1,2,3,4,5,6,7}}=>0
[7,1,3,6,2,5,4]=>[3,1,6,7,4,2,5]=>{{1,2,3,6},{4,5,7}}=>0
[7,1,3,6,4,2,5]=>[3,1,6,7,2,5,4]=>{{1,2,3,5,6},{4,7}}=>0
[7,1,3,6,4,5,2]=>[3,1,6,7,2,4,5]=>{{1,2,3,4,5,6,7}}=>0
[7,1,3,6,5,2,4]=>[3,1,5,6,7,4,2]=>{{1,2,3,5,7},{4,6}}=>1
[7,1,3,6,5,4,2]=>[3,1,5,6,7,2,4]=>{{1,2,3,4,5,6,7}}=>0
[7,1,4,2,3,5,6]=>[4,1,7,3,2,5,6]=>{{1,2,3,4,5,6,7}}=>0
[7,1,4,2,3,6,5]=>[4,1,6,3,2,7,5]=>{{1,2,3,4,5,6,7}}=>0
[7,1,4,2,5,3,6]=>[4,1,5,3,7,2,6]=>{{1,2,3,4,5,6,7}}=>0
[7,1,4,2,5,6,3]=>[4,1,5,3,6,7,2]=>{{1,2,3,4,5,6,7}}=>0
[7,1,4,2,6,3,5]=>[4,1,6,3,7,5,2]=>{{1,2,3,4,5,6,7}}=>0
[7,1,4,2,6,5,3]=>[4,1,6,3,7,2,5]=>{{1,2,3,4,6},{5,7}}=>0
[7,1,4,3,2,5,6]=>[4,1,7,2,3,5,6]=>{{1,2,4},{3,5,6,7}}=>0
[7,1,4,3,2,6,5]=>[4,1,6,2,3,7,5]=>{{1,2,4},{3,5,6,7}}=>0
[7,1,4,3,5,2,6]=>[4,1,5,2,7,3,6]=>{{1,2,4},{3,5,6,7}}=>0
[7,1,4,3,5,6,2]=>[4,1,5,2,6,7,3]=>{{1,2,4},{3,5,6,7}}=>0
[7,1,4,3,6,2,5]=>[4,1,6,2,7,5,3]=>{{1,2,4},{3,5,6,7}}=>0
[7,1,4,3,6,5,2]=>[4,1,6,2,7,3,5]=>{{1,2,4},{3,6},{5,7}}=>0
[7,1,4,5,2,3,6]=>[4,1,7,5,3,2,6]=>{{1,2,3,4,5,6,7}}=>0
[7,1,4,5,2,6,3]=>[4,1,6,5,3,7,2]=>{{1,2,3,4,5,6,7}}=>0
[7,1,4,5,3,2,6]=>[4,1,7,5,2,3,6]=>{{1,2,4,5},{3,6,7}}=>0
[7,1,4,5,3,6,2]=>[4,1,6,5,2,7,3]=>{{1,2,4,5},{3,6,7}}=>0
[7,1,4,5,6,2,3]=>[4,1,7,5,6,3,2]=>{{1,2,3,4,5,6,7}}=>0
[7,1,4,5,6,3,2]=>[4,1,7,5,6,2,3]=>{{1,2,4,5,6},{3,7}}=>0
[7,1,4,6,2,3,5]=>[4,1,7,6,3,5,2]=>{{1,2,3,4,5,6,7}}=>0
[7,1,4,6,2,5,3]=>[4,1,7,6,3,2,5]=>{{1,2,4,6},{3,5,7}}=>0
[7,1,4,6,3,2,5]=>[4,1,7,6,2,5,3]=>{{1,2,4,5,6},{3,7}}=>0
[7,1,4,6,3,5,2]=>[4,1,7,6,2,3,5]=>{{1,2,3,4,5,6,7}}=>0
[7,1,4,6,5,2,3]=>[4,1,6,5,7,3,2]=>{{1,2,4,5,7},{3,6}}=>1
[7,1,4,6,5,3,2]=>[4,1,6,5,7,2,3]=>{{1,2,3,4,5,6,7}}=>0
[7,1,5,2,3,4,6]=>[5,1,7,3,4,2,6]=>{{1,2,3,4,5,6,7}}=>0
[7,1,5,2,3,6,4]=>[5,1,6,3,4,7,2]=>{{1,2,3,4,5,6,7}}=>0
[7,1,5,2,4,3,6]=>[5,1,7,3,2,4,6]=>{{1,2,5},{3,4,6,7}}=>0
[7,1,5,2,4,6,3]=>[5,1,6,3,2,7,4]=>{{1,2,5},{3,4,6,7}}=>0
[7,1,5,2,6,3,4]=>[5,1,7,3,6,4,2]=>{{1,2,3,4,5,6,7}}=>0
[7,1,5,2,6,4,3]=>[5,1,7,3,6,2,4]=>{{1,2,5,6},{3,4,7}}=>0
[7,1,5,3,2,4,6]=>[5,1,7,2,4,3,6]=>{{1,2,4,5},{3,6,7}}=>0
[7,1,5,3,2,6,4]=>[5,1,6,2,4,7,3]=>{{1,2,4,5},{3,6,7}}=>0
[7,1,5,3,4,2,6]=>[5,1,7,2,3,4,6]=>{{1,2,3,4,5,6,7}}=>0
[7,1,5,3,4,6,2]=>[5,1,6,2,3,7,4]=>{{1,2,3,4,5,6,7}}=>0
[7,1,5,3,6,2,4]=>[5,1,7,2,6,4,3]=>{{1,2,4,5,6},{3,7}}=>0
[7,1,5,3,6,4,2]=>[5,1,7,2,6,3,4]=>{{1,2,3,4,5,6,7}}=>0
[7,1,5,4,2,3,6]=>[4,1,5,7,3,2,6]=>{{1,2,4,6,7},{3,5}}=>2
[7,1,5,4,2,6,3]=>[4,1,5,6,3,7,2]=>{{1,2,4,6,7},{3,5}}=>2
[7,1,5,4,3,2,6]=>[4,1,5,7,2,3,6]=>{{1,2,3,4,5,6,7}}=>0
[7,1,5,4,3,6,2]=>[4,1,5,6,2,7,3]=>{{1,2,3,4,5,6,7}}=>0
[7,1,5,4,6,2,3]=>[4,1,5,7,6,3,2]=>{{1,2,4,7},{3,5,6}}=>1
[7,1,5,4,6,3,2]=>[4,1,5,7,6,2,3]=>{{1,2,3,4,5,6,7}}=>0
[7,1,5,6,2,3,4]=>[5,1,7,6,4,3,2]=>{{1,2,3,4,5,6,7}}=>0
[7,1,5,6,2,4,3]=>[5,1,7,6,4,2,3]=>{{1,2,4,5,6},{3,7}}=>0
[7,1,5,6,3,2,4]=>[5,1,7,6,3,4,2]=>{{1,2,3,5,7},{4,6}}=>1
[7,1,5,6,3,4,2]=>[5,1,7,6,3,2,4]=>{{1,2,3,4,5,6,7}}=>0
[7,1,5,6,4,2,3]=>[5,1,7,6,2,4,3]=>{{1,2,5},{3,7},{4,6}}=>1
[7,1,5,6,4,3,2]=>[5,1,7,6,2,3,4]=>{{1,2,5},{3,4,6,7}}=>0
[7,1,6,2,3,4,5]=>[6,1,7,3,4,5,2]=>{{1,2,3,4,5,6,7}}=>0
[7,1,6,2,3,5,4]=>[6,1,7,3,4,2,5]=>{{1,2,6},{3,4,5,7}}=>0
[7,1,6,2,4,3,5]=>[6,1,7,3,2,5,4]=>{{1,2,5,6},{3,4,7}}=>0
[7,1,6,2,4,5,3]=>[6,1,7,3,2,4,5]=>{{1,2,3,4,5,6,7}}=>0
[7,1,6,2,5,3,4]=>[5,1,6,3,7,4,2]=>{{1,2,5,7},{3,4,6}}=>1
[7,1,6,2,5,4,3]=>[5,1,6,3,7,2,4]=>{{1,2,3,4,5,6,7}}=>0
[7,1,6,3,2,4,5]=>[6,1,7,2,4,5,3]=>{{1,2,4,5,6},{3,7}}=>0
[7,1,6,3,2,5,4]=>[6,1,7,2,4,3,5]=>{{1,2,3,4,5,6,7}}=>0
[7,1,6,3,4,2,5]=>[6,1,7,2,3,5,4]=>{{1,2,3,4,5,6,7}}=>0
[7,1,6,3,4,5,2]=>[6,1,7,2,3,4,5]=>{{1,2,4,6},{3,5,7}}=>0
[7,1,6,3,5,2,4]=>[5,1,6,2,7,4,3]=>{{1,2,3,4,5,6,7}}=>0
[7,1,6,3,5,4,2]=>[5,1,6,2,7,3,4]=>{{1,2,4,5,7},{3,6}}=>1
[7,1,6,4,2,3,5]=>[4,1,6,7,3,5,2]=>{{1,2,4,7},{3,5,6}}=>1
[7,1,6,4,2,5,3]=>[4,1,6,7,3,2,5]=>{{1,2,3,4,5,6,7}}=>0
[7,1,6,4,3,2,5]=>[4,1,6,7,2,5,3]=>{{1,2,3,4,5,6,7}}=>0
[7,1,6,4,3,5,2]=>[4,1,6,7,2,3,5]=>{{1,2,4,5,7},{3,6}}=>1
[7,1,6,4,5,2,3]=>[4,1,5,6,7,3,2]=>{{1,2,3,4,5,6,7}}=>0
[7,1,6,4,5,3,2]=>[4,1,5,6,7,2,3]=>{{1,2,4,6},{3,5,7}}=>0
[7,1,6,5,2,3,4]=>[5,1,6,7,4,3,2]=>{{1,2,4,5,7},{3,6}}=>1
[7,1,6,5,2,4,3]=>[5,1,6,7,4,2,3]=>{{1,2,3,4,5,6,7}}=>0
[7,1,6,5,3,2,4]=>[5,1,6,7,3,4,2]=>{{1,2,3,4,5,6,7}}=>0
[7,1,6,5,3,4,2]=>[5,1,6,7,3,2,4]=>{{1,2,3,5,6},{4,7}}=>0
[7,1,6,5,4,2,3]=>[5,1,6,7,2,4,3]=>{{1,2,5},{3,4,6,7}}=>0
[7,1,6,5,4,3,2]=>[5,1,6,7,2,3,4]=>{{1,2,5},{3,6},{4,7}}=>0
[7,2,1,3,4,5,6]=>[2,7,1,3,4,5,6]=>{{1,2,3,4,5,6,7}}=>0
[7,2,1,3,4,6,5]=>[2,6,1,3,4,7,5]=>{{1,2,3,4,5,6,7}}=>0
[7,2,1,3,5,4,6]=>[2,5,1,3,7,4,6]=>{{1,2,3,4,5,6,7}}=>0
[7,2,1,3,5,6,4]=>[2,5,1,3,6,7,4]=>{{1,2,3,4,5,6,7}}=>0
[7,2,1,3,6,4,5]=>[2,6,1,3,7,5,4]=>{{1,2,3,4,5,6,7}}=>0
[7,2,1,3,6,5,4]=>[2,6,1,3,7,4,5]=>{{1,2,3,4,6},{5,7}}=>0
[7,2,1,4,3,5,6]=>[2,4,1,7,3,5,6]=>{{1,2,3,4,5,6,7}}=>0
[7,2,1,4,3,6,5]=>[2,4,1,6,3,7,5]=>{{1,2,3,4,5,6,7}}=>0
[7,2,1,4,5,3,6]=>[2,4,1,5,7,3,6]=>{{1,2,3,4,5,6,7}}=>0
[7,2,1,4,5,6,3]=>[2,4,1,5,6,7,3]=>{{1,2,3,4,5,6,7}}=>0
[7,2,1,4,6,3,5]=>[2,4,1,6,7,5,3]=>{{1,2,3,4,5,6,7}}=>0
[7,2,1,4,6,5,3]=>[2,4,1,6,7,3,5]=>{{1,2,3,4,6},{5,7}}=>0
[7,2,1,5,3,4,6]=>[2,5,1,7,4,3,6]=>{{1,2,3,4,5,6,7}}=>0
[7,2,1,5,3,6,4]=>[2,5,1,6,4,7,3]=>{{1,2,3,4,5,6,7}}=>0
[7,2,1,5,4,3,6]=>[2,5,1,7,3,4,6]=>{{1,2,3,5},{4,6,7}}=>0
[7,2,1,5,4,6,3]=>[2,5,1,6,3,7,4]=>{{1,2,3,5},{4,6,7}}=>0
[7,2,1,5,6,3,4]=>[2,5,1,7,6,4,3]=>{{1,2,3,4,5,6,7}}=>0
[7,2,1,5,6,4,3]=>[2,5,1,7,6,3,4]=>{{1,2,3,5,6},{4,7}}=>0
[7,2,1,6,3,4,5]=>[2,6,1,7,4,5,3]=>{{1,2,3,4,5,6,7}}=>0
[7,2,1,6,3,5,4]=>[2,6,1,7,4,3,5]=>{{1,2,3,6},{4,5,7}}=>0
[7,2,1,6,4,3,5]=>[2,6,1,7,3,5,4]=>{{1,2,3,5,6},{4,7}}=>0
[7,2,1,6,4,5,3]=>[2,6,1,7,3,4,5]=>{{1,2,3,4,5,6,7}}=>0
[7,2,1,6,5,3,4]=>[2,5,1,6,7,4,3]=>{{1,2,3,5,7},{4,6}}=>1
[7,2,1,6,5,4,3]=>[2,5,1,6,7,3,4]=>{{1,2,3,4,5,6,7}}=>0
[7,2,3,1,4,5,6]=>[2,3,7,1,4,5,6]=>{{1,2,3,4,5,6,7}}=>0
[7,2,3,1,4,6,5]=>[2,3,6,1,4,7,5]=>{{1,2,3,4,5,6,7}}=>0
[7,2,3,1,5,4,6]=>[2,3,5,1,7,4,6]=>{{1,2,3,4,5,6,7}}=>0
[7,2,3,1,5,6,4]=>[2,3,5,1,6,7,4]=>{{1,2,3,4,5,6,7}}=>0
[7,2,3,1,6,4,5]=>[2,3,6,1,7,5,4]=>{{1,2,3,4,5,6,7}}=>0
[7,2,3,1,6,5,4]=>[2,3,6,1,7,4,5]=>{{1,2,3,4,6},{5,7}}=>0
[7,2,3,4,1,5,6]=>[2,3,4,7,1,5,6]=>{{1,2,3,4,5,6,7}}=>0
[7,2,3,4,1,6,5]=>[2,3,4,6,1,7,5]=>{{1,2,3,4,5,6,7}}=>0
[7,2,3,4,5,1,6]=>[2,3,4,5,7,1,6]=>{{1,2,3,4,5,6,7}}=>0
[7,2,3,4,5,6,1]=>[2,3,4,5,6,7,1]=>{{1,2,3,4,5,6,7}}=>0
[7,2,3,4,6,1,5]=>[2,3,4,6,7,5,1]=>{{1,2,3,4,5,6,7}}=>0
[7,2,3,4,6,5,1]=>[2,3,4,6,7,1,5]=>{{1,2,3,4,6},{5,7}}=>0
[7,2,3,5,1,4,6]=>[2,3,5,7,4,1,6]=>{{1,2,3,4,5,6,7}}=>0
[7,2,3,5,1,6,4]=>[2,3,5,6,4,7,1]=>{{1,2,3,4,5,6,7}}=>0
[7,2,3,5,4,1,6]=>[2,3,5,7,1,4,6]=>{{1,2,3,5},{4,6,7}}=>0
[7,2,3,5,4,6,1]=>[2,3,5,6,1,7,4]=>{{1,2,3,5},{4,6,7}}=>0
[7,2,3,5,6,1,4]=>[2,3,5,7,6,4,1]=>{{1,2,3,4,5,6,7}}=>0
[7,2,3,5,6,4,1]=>[2,3,5,7,6,1,4]=>{{1,2,3,5,6},{4,7}}=>0
[7,2,3,6,1,4,5]=>[2,3,6,7,4,5,1]=>{{1,2,3,4,5,6,7}}=>0
[7,2,3,6,1,5,4]=>[2,3,6,7,4,1,5]=>{{1,2,3,6},{4,5,7}}=>0
[7,2,3,6,4,1,5]=>[2,3,6,7,1,5,4]=>{{1,2,3,5,6},{4,7}}=>0
[7,2,3,6,4,5,1]=>[2,3,6,7,1,4,5]=>{{1,2,3,4,5,6,7}}=>0
[7,2,3,6,5,1,4]=>[2,3,5,6,7,4,1]=>{{1,2,3,5,7},{4,6}}=>1
[7,2,3,6,5,4,1]=>[2,3,5,6,7,1,4]=>{{1,2,3,4,5,6,7}}=>0
[7,2,4,1,3,5,6]=>[2,4,7,3,1,5,6]=>{{1,2,3,4,5,6,7}}=>0
[7,2,4,1,3,6,5]=>[2,4,6,3,1,7,5]=>{{1,2,3,4,5,6,7}}=>0
[7,2,4,1,5,3,6]=>[2,4,5,3,7,1,6]=>{{1,2,3,4,5,6,7}}=>0
[7,2,4,1,5,6,3]=>[2,4,5,3,6,7,1]=>{{1,2,3,4,5,6,7}}=>0
[7,2,4,1,6,3,5]=>[2,4,6,3,7,5,1]=>{{1,2,3,4,5,6,7}}=>0
[7,2,4,1,6,5,3]=>[2,4,6,3,7,1,5]=>{{1,2,3,4,6},{5,7}}=>0
[7,2,4,3,1,5,6]=>[2,4,7,1,3,5,6]=>{{1,2,4},{3,5,6,7}}=>0
[7,2,4,3,1,6,5]=>[2,4,6,1,3,7,5]=>{{1,2,4},{3,5,6,7}}=>0
[7,2,4,3,5,1,6]=>[2,4,5,1,7,3,6]=>{{1,2,4},{3,5,6,7}}=>0
[7,2,4,3,5,6,1]=>[2,4,5,1,6,7,3]=>{{1,2,4},{3,5,6,7}}=>0
[7,2,4,3,6,1,5]=>[2,4,6,1,7,5,3]=>{{1,2,4},{3,5,6,7}}=>0
[7,2,4,3,6,5,1]=>[2,4,6,1,7,3,5]=>{{1,2,4},{3,6},{5,7}}=>0
[7,2,4,5,1,3,6]=>[2,4,7,5,3,1,6]=>{{1,2,3,4,5,6,7}}=>0
[7,2,4,5,1,6,3]=>[2,4,6,5,3,7,1]=>{{1,2,3,4,5,6,7}}=>0
[7,2,4,5,3,1,6]=>[2,4,7,5,1,3,6]=>{{1,2,4,5},{3,6,7}}=>0
[7,2,4,5,3,6,1]=>[2,4,6,5,1,7,3]=>{{1,2,4,5},{3,6,7}}=>0
[7,2,4,5,6,1,3]=>[2,4,7,5,6,3,1]=>{{1,2,3,4,5,6,7}}=>0
[7,2,4,5,6,3,1]=>[2,4,7,5,6,1,3]=>{{1,2,4,5,6},{3,7}}=>0
[7,2,4,6,1,3,5]=>[2,4,7,6,3,5,1]=>{{1,2,3,4,5,6,7}}=>0
[7,2,4,6,1,5,3]=>[2,4,7,6,3,1,5]=>{{1,2,4,6},{3,5,7}}=>0
[7,2,4,6,3,1,5]=>[2,4,7,6,1,5,3]=>{{1,2,4,5,6},{3,7}}=>0
[7,2,4,6,3,5,1]=>[2,4,7,6,1,3,5]=>{{1,2,3,4,5,6,7}}=>0
[7,2,4,6,5,1,3]=>[2,4,6,5,7,3,1]=>{{1,2,4,5,7},{3,6}}=>1
[7,2,4,6,5,3,1]=>[2,4,6,5,7,1,3]=>{{1,2,3,4,5,6,7}}=>0
[7,2,5,1,3,4,6]=>[2,5,7,3,4,1,6]=>{{1,2,3,4,5,6,7}}=>0
[7,2,5,1,3,6,4]=>[2,5,6,3,4,7,1]=>{{1,2,3,4,5,6,7}}=>0
[7,2,5,1,4,3,6]=>[2,5,7,3,1,4,6]=>{{1,2,5},{3,4,6,7}}=>0
[7,2,5,1,4,6,3]=>[2,5,6,3,1,7,4]=>{{1,2,5},{3,4,6,7}}=>0
[7,2,5,1,6,3,4]=>[2,5,7,3,6,4,1]=>{{1,2,3,4,5,6,7}}=>0
[7,2,5,1,6,4,3]=>[2,5,7,3,6,1,4]=>{{1,2,5,6},{3,4,7}}=>0
[7,2,5,3,1,4,6]=>[2,5,7,1,4,3,6]=>{{1,2,4,5},{3,6,7}}=>0
[7,2,5,3,1,6,4]=>[2,5,6,1,4,7,3]=>{{1,2,4,5},{3,6,7}}=>0
[7,2,5,3,4,1,6]=>[2,5,7,1,3,4,6]=>{{1,2,3,4,5,6,7}}=>0
[7,2,5,3,4,6,1]=>[2,5,6,1,3,7,4]=>{{1,2,3,4,5,6,7}}=>0
[7,2,5,3,6,1,4]=>[2,5,7,1,6,4,3]=>{{1,2,4,5,6},{3,7}}=>0
[7,2,5,3,6,4,1]=>[2,5,7,1,6,3,4]=>{{1,2,3,4,5,6,7}}=>0
[7,2,5,4,1,3,6]=>[2,4,5,7,3,1,6]=>{{1,2,4,6,7},{3,5}}=>2
[7,2,5,4,1,6,3]=>[2,4,5,6,3,7,1]=>{{1,2,4,6,7},{3,5}}=>2
[7,2,5,4,3,1,6]=>[2,4,5,7,1,3,6]=>{{1,2,3,4,5,6,7}}=>0
[7,2,5,4,3,6,1]=>[2,4,5,6,1,7,3]=>{{1,2,3,4,5,6,7}}=>0
[7,2,5,4,6,1,3]=>[2,4,5,7,6,3,1]=>{{1,2,4,7},{3,5,6}}=>1
[7,2,5,4,6,3,1]=>[2,4,5,7,6,1,3]=>{{1,2,3,4,5,6,7}}=>0
[7,2,5,6,1,3,4]=>[2,5,7,6,4,3,1]=>{{1,2,3,4,5,6,7}}=>0
[7,2,5,6,1,4,3]=>[2,5,7,6,4,1,3]=>{{1,2,4,5,6},{3,7}}=>0
[7,2,5,6,3,1,4]=>[2,5,7,6,3,4,1]=>{{1,2,3,5,7},{4,6}}=>1
[7,2,5,6,3,4,1]=>[2,5,7,6,3,1,4]=>{{1,2,3,4,5,6,7}}=>0
[7,2,5,6,4,1,3]=>[2,5,7,6,1,4,3]=>{{1,2,5},{3,7},{4,6}}=>1
[7,2,5,6,4,3,1]=>[2,5,7,6,1,3,4]=>{{1,2,5},{3,4,6,7}}=>0
[7,2,6,1,3,4,5]=>[2,6,7,3,4,5,1]=>{{1,2,3,4,5,6,7}}=>0
[7,2,6,1,3,5,4]=>[2,6,7,3,4,1,5]=>{{1,2,6},{3,4,5,7}}=>0
[7,2,6,1,4,3,5]=>[2,6,7,3,1,5,4]=>{{1,2,5,6},{3,4,7}}=>0
[7,2,6,1,4,5,3]=>[2,6,7,3,1,4,5]=>{{1,2,3,4,5,6,7}}=>0
[7,2,6,1,5,3,4]=>[2,5,6,3,7,4,1]=>{{1,2,5,7},{3,4,6}}=>1
[7,2,6,1,5,4,3]=>[2,5,6,3,7,1,4]=>{{1,2,3,4,5,6,7}}=>0
[7,2,6,3,1,4,5]=>[2,6,7,1,4,5,3]=>{{1,2,4,5,6},{3,7}}=>0
[7,2,6,3,1,5,4]=>[2,6,7,1,4,3,5]=>{{1,2,3,4,5,6,7}}=>0
[7,2,6,3,4,1,5]=>[2,6,7,1,3,5,4]=>{{1,2,3,4,5,6,7}}=>0
[7,2,6,3,4,5,1]=>[2,6,7,1,3,4,5]=>{{1,2,4,6},{3,5,7}}=>0
[7,2,6,3,5,1,4]=>[2,5,6,1,7,4,3]=>{{1,2,3,4,5,6,7}}=>0
[7,2,6,3,5,4,1]=>[2,5,6,1,7,3,4]=>{{1,2,4,5,7},{3,6}}=>1
[7,2,6,4,1,3,5]=>[2,4,6,7,3,5,1]=>{{1,2,4,7},{3,5,6}}=>1
[7,2,6,4,1,5,3]=>[2,4,6,7,3,1,5]=>{{1,2,3,4,5,6,7}}=>0
[7,2,6,4,3,1,5]=>[2,4,6,7,1,5,3]=>{{1,2,3,4,5,6,7}}=>0
[7,2,6,4,3,5,1]=>[2,4,6,7,1,3,5]=>{{1,2,4,5,7},{3,6}}=>1
[7,2,6,4,5,1,3]=>[2,4,5,6,7,3,1]=>{{1,2,3,4,5,6,7}}=>0
[7,2,6,4,5,3,1]=>[2,4,5,6,7,1,3]=>{{1,2,4,6},{3,5,7}}=>0
[7,2,6,5,1,3,4]=>[2,5,6,7,4,3,1]=>{{1,2,4,5,7},{3,6}}=>1
[7,2,6,5,1,4,3]=>[2,5,6,7,4,1,3]=>{{1,2,3,4,5,6,7}}=>0
[7,2,6,5,3,1,4]=>[2,5,6,7,3,4,1]=>{{1,2,3,4,5,6,7}}=>0
[7,2,6,5,3,4,1]=>[2,5,6,7,3,1,4]=>{{1,2,3,5,6},{4,7}}=>0
[7,2,6,5,4,1,3]=>[2,5,6,7,1,4,3]=>{{1,2,5},{3,4,6,7}}=>0
[7,2,6,5,4,3,1]=>[2,5,6,7,1,3,4]=>{{1,2,5},{3,6},{4,7}}=>0
[7,3,1,2,4,5,6]=>[3,7,2,1,4,5,6]=>{{1,2,3,4,5,6,7}}=>0
[7,3,1,2,4,6,5]=>[3,6,2,1,4,7,5]=>{{1,2,3,4,5,6,7}}=>0
[7,3,1,2,5,4,6]=>[3,5,2,1,7,4,6]=>{{1,2,3,4,5,6,7}}=>0
[7,3,1,2,5,6,4]=>[3,5,2,1,6,7,4]=>{{1,2,3,4,5,6,7}}=>0
[7,3,1,2,6,4,5]=>[3,6,2,1,7,5,4]=>{{1,2,3,4,5,6,7}}=>0
[7,3,1,2,6,5,4]=>[3,6,2,1,7,4,5]=>{{1,2,3,4,6},{5,7}}=>0
[7,3,1,4,2,5,6]=>[3,4,2,7,1,5,6]=>{{1,2,3,4,5,6,7}}=>0
[7,3,1,4,2,6,5]=>[3,4,2,6,1,7,5]=>{{1,2,3,4,5,6,7}}=>0
[7,3,1,4,5,2,6]=>[3,4,2,5,7,1,6]=>{{1,2,3,4,5,6,7}}=>0
[7,3,1,4,5,6,2]=>[3,4,2,5,6,7,1]=>{{1,2,3,4,5,6,7}}=>0
[7,3,1,4,6,2,5]=>[3,4,2,6,7,5,1]=>{{1,2,3,4,5,6,7}}=>0
[7,3,1,4,6,5,2]=>[3,4,2,6,7,1,5]=>{{1,2,3,4,6},{5,7}}=>0
[7,3,1,5,2,4,6]=>[3,5,2,7,4,1,6]=>{{1,2,3,4,5,6,7}}=>0
[7,3,1,5,2,6,4]=>[3,5,2,6,4,7,1]=>{{1,2,3,4,5,6,7}}=>0
[7,3,1,5,4,2,6]=>[3,5,2,7,1,4,6]=>{{1,2,3,5},{4,6,7}}=>0
[7,3,1,5,4,6,2]=>[3,5,2,6,1,7,4]=>{{1,2,3,5},{4,6,7}}=>0
[7,3,1,5,6,2,4]=>[3,5,2,7,6,4,1]=>{{1,2,3,4,5,6,7}}=>0
[7,3,1,5,6,4,2]=>[3,5,2,7,6,1,4]=>{{1,2,3,5,6},{4,7}}=>0
[7,3,1,6,2,4,5]=>[3,6,2,7,4,5,1]=>{{1,2,3,4,5,6,7}}=>0
[7,3,1,6,2,5,4]=>[3,6,2,7,4,1,5]=>{{1,2,3,6},{4,5,7}}=>0
[7,3,1,6,4,2,5]=>[3,6,2,7,1,5,4]=>{{1,2,3,5,6},{4,7}}=>0
[7,3,1,6,4,5,2]=>[3,6,2,7,1,4,5]=>{{1,2,3,4,5,6,7}}=>0
[7,3,1,6,5,2,4]=>[3,5,2,6,7,4,1]=>{{1,2,3,5,7},{4,6}}=>1
[7,3,1,6,5,4,2]=>[3,5,2,6,7,1,4]=>{{1,2,3,4,5,6,7}}=>0
[7,3,2,1,4,5,6]=>[3,7,1,2,4,5,6]=>{{1,3},{2,4,5,6,7}}=>0
[7,3,2,1,4,6,5]=>[3,6,1,2,4,7,5]=>{{1,3},{2,4,5,6,7}}=>0
[7,3,2,1,5,4,6]=>[3,5,1,2,7,4,6]=>{{1,3},{2,4,5,6,7}}=>0
[7,3,2,1,5,6,4]=>[3,5,1,2,6,7,4]=>{{1,3},{2,4,5,6,7}}=>0
[7,3,2,1,6,4,5]=>[3,6,1,2,7,5,4]=>{{1,3},{2,4,5,6,7}}=>0
[7,3,2,1,6,5,4]=>[3,6,1,2,7,4,5]=>{{1,3},{2,4,6},{5,7}}=>0
[7,3,2,4,1,5,6]=>[3,4,1,7,2,5,6]=>{{1,3},{2,4,5,6,7}}=>0
[7,3,2,4,1,6,5]=>[3,4,1,6,2,7,5]=>{{1,3},{2,4,5,6,7}}=>0
[7,3,2,4,5,1,6]=>[3,4,1,5,7,2,6]=>{{1,3},{2,4,5,6,7}}=>0
[7,3,2,4,5,6,1]=>[3,4,1,5,6,7,2]=>{{1,3},{2,4,5,6,7}}=>0
[7,3,2,4,6,1,5]=>[3,4,1,6,7,5,2]=>{{1,3},{2,4,5,6,7}}=>0
[7,3,2,4,6,5,1]=>[3,4,1,6,7,2,5]=>{{1,3},{2,4,6},{5,7}}=>0
[7,3,2,5,1,4,6]=>[3,5,1,7,4,2,6]=>{{1,3},{2,4,5,6,7}}=>0
[7,3,2,5,1,6,4]=>[3,5,1,6,4,7,2]=>{{1,3},{2,4,5,6,7}}=>0
[7,3,2,5,4,1,6]=>[3,5,1,7,2,4,6]=>{{1,3},{2,5},{4,6,7}}=>0
[7,3,2,5,4,6,1]=>[3,5,1,6,2,7,4]=>{{1,3},{2,5},{4,6,7}}=>0
[7,3,2,5,6,1,4]=>[3,5,1,7,6,4,2]=>{{1,3},{2,4,5,6,7}}=>0
[7,3,2,5,6,4,1]=>[3,5,1,7,6,2,4]=>{{1,3},{2,5,6},{4,7}}=>0
[7,3,2,6,1,4,5]=>[3,6,1,7,4,5,2]=>{{1,3},{2,4,5,6,7}}=>0
[7,3,2,6,1,5,4]=>[3,6,1,7,4,2,5]=>{{1,3},{2,6},{4,5,7}}=>0
[7,3,2,6,4,1,5]=>[3,6,1,7,2,5,4]=>{{1,3},{2,5,6},{4,7}}=>0
[7,3,2,6,4,5,1]=>[3,6,1,7,2,4,5]=>{{1,3},{2,4,5,6,7}}=>0
[7,3,2,6,5,1,4]=>[3,5,1,6,7,4,2]=>{{1,3},{2,5,7},{4,6}}=>1
[7,3,2,6,5,4,1]=>[3,5,1,6,7,2,4]=>{{1,3},{2,4,5,6,7}}=>0
[7,3,4,1,2,5,6]=>[3,7,4,2,1,5,6]=>{{1,2,3,4,5,6,7}}=>0
[7,3,4,1,2,6,5]=>[3,6,4,2,1,7,5]=>{{1,2,3,4,5,6,7}}=>0
[7,3,4,1,5,2,6]=>[3,5,4,2,7,1,6]=>{{1,2,3,4,5,6,7}}=>0
[7,3,4,1,5,6,2]=>[3,5,4,2,6,7,1]=>{{1,2,3,4,5,6,7}}=>0
[7,3,4,1,6,2,5]=>[3,6,4,2,7,5,1]=>{{1,2,3,4,5,6,7}}=>0
[7,3,4,1,6,5,2]=>[3,6,4,2,7,1,5]=>{{1,2,3,4,6},{5,7}}=>0
[7,3,4,2,1,5,6]=>[3,7,4,1,2,5,6]=>{{1,3,4},{2,5,6,7}}=>0
[7,3,4,2,1,6,5]=>[3,6,4,1,2,7,5]=>{{1,3,4},{2,5,6,7}}=>0
[7,3,4,2,5,1,6]=>[3,5,4,1,7,2,6]=>{{1,3,4},{2,5,6,7}}=>0
[7,3,4,2,5,6,1]=>[3,5,4,1,6,7,2]=>{{1,3,4},{2,5,6,7}}=>0
[7,3,4,2,6,1,5]=>[3,6,4,1,7,5,2]=>{{1,3,4},{2,5,6,7}}=>0
[7,3,4,2,6,5,1]=>[3,6,4,1,7,2,5]=>{{1,3,4},{2,6},{5,7}}=>0
[7,3,4,5,1,2,6]=>[3,7,4,5,2,1,6]=>{{1,2,3,4,5,6,7}}=>0
[7,3,4,5,1,6,2]=>[3,6,4,5,2,7,1]=>{{1,2,3,4,5,6,7}}=>0
[7,3,4,5,2,1,6]=>[3,7,4,5,1,2,6]=>{{1,3,4,5},{2,6,7}}=>0
[7,3,4,5,2,6,1]=>[3,6,4,5,1,7,2]=>{{1,3,4,5},{2,6,7}}=>0
[7,3,4,5,6,1,2]=>[3,7,4,5,6,2,1]=>{{1,2,3,4,5,6,7}}=>0
[7,3,4,5,6,2,1]=>[3,7,4,5,6,1,2]=>{{1,3,4,5,6},{2,7}}=>0
[7,3,4,6,1,2,5]=>[3,7,4,6,2,5,1]=>{{1,2,3,4,5,6,7}}=>0
[7,3,4,6,1,5,2]=>[3,7,4,6,2,1,5]=>{{1,3,4,6},{2,5,7}}=>0
[7,3,4,6,2,1,5]=>[3,7,4,6,1,5,2]=>{{1,3,4,5,6},{2,7}}=>0
[7,3,4,6,2,5,1]=>[3,7,4,6,1,2,5]=>{{1,2,3,4,5,6,7}}=>0
[7,3,4,6,5,1,2]=>[3,6,4,5,7,2,1]=>{{1,3,4,5,7},{2,6}}=>1
[7,3,4,6,5,2,1]=>[3,6,4,5,7,1,2]=>{{1,2,3,4,5,6,7}}=>0
[7,3,5,1,2,4,6]=>[3,7,5,2,4,1,6]=>{{1,2,3,4,5,6,7}}=>0
[7,3,5,1,2,6,4]=>[3,6,5,2,4,7,1]=>{{1,2,3,4,5,6,7}}=>0
[7,3,5,1,4,2,6]=>[3,7,5,2,1,4,6]=>{{1,3,5},{2,4,6,7}}=>0
[7,3,5,1,4,6,2]=>[3,6,5,2,1,7,4]=>{{1,3,5},{2,4,6,7}}=>0
[7,3,5,1,6,2,4]=>[3,7,5,2,6,4,1]=>{{1,2,3,4,5,6,7}}=>0
[7,3,5,1,6,4,2]=>[3,7,5,2,6,1,4]=>{{1,3,5,6},{2,4,7}}=>0
[7,3,5,2,1,4,6]=>[3,7,5,1,4,2,6]=>{{1,3,4,5},{2,6,7}}=>0
[7,3,5,2,1,6,4]=>[3,6,5,1,4,7,2]=>{{1,3,4,5},{2,6,7}}=>0
[7,3,5,2,4,1,6]=>[3,7,5,1,2,4,6]=>{{1,2,3,4,5,6,7}}=>0
[7,3,5,2,4,6,1]=>[3,6,5,1,2,7,4]=>{{1,2,3,4,5,6,7}}=>0
[7,3,5,2,6,1,4]=>[3,7,5,1,6,4,2]=>{{1,3,4,5,6},{2,7}}=>0
[7,3,5,2,6,4,1]=>[3,7,5,1,6,2,4]=>{{1,2,3,4,5,6,7}}=>0
[7,3,5,4,1,2,6]=>[3,5,4,7,2,1,6]=>{{1,3,4,6,7},{2,5}}=>2
[7,3,5,4,1,6,2]=>[3,5,4,6,2,7,1]=>{{1,3,4,6,7},{2,5}}=>2
[7,3,5,4,2,1,6]=>[3,5,4,7,1,2,6]=>{{1,2,3,4,5,6,7}}=>0
[7,3,5,4,2,6,1]=>[3,5,4,6,1,7,2]=>{{1,2,3,4,5,6,7}}=>0
[7,3,5,4,6,1,2]=>[3,5,4,7,6,2,1]=>{{1,3,4,7},{2,5,6}}=>1
[7,3,5,4,6,2,1]=>[3,5,4,7,6,1,2]=>{{1,2,3,4,5,6,7}}=>0
[7,3,5,6,1,2,4]=>[3,7,5,6,4,2,1]=>{{1,2,3,4,5,6,7}}=>0
[7,3,5,6,1,4,2]=>[3,7,5,6,4,1,2]=>{{1,3,4,5,6},{2,7}}=>0
[7,3,5,6,2,1,4]=>[3,7,5,6,2,4,1]=>{{1,2,3,5,7},{4,6}}=>1
[7,3,5,6,2,4,1]=>[3,7,5,6,2,1,4]=>{{1,2,3,4,5,6,7}}=>0
[7,3,5,6,4,1,2]=>[3,7,5,6,1,4,2]=>{{1,3,5},{2,7},{4,6}}=>1
[7,3,5,6,4,2,1]=>[3,7,5,6,1,2,4]=>{{1,3,5},{2,4,6,7}}=>0
[7,3,6,1,2,4,5]=>[3,7,6,2,4,5,1]=>{{1,2,3,4,5,6,7}}=>0
[7,3,6,1,2,5,4]=>[3,7,6,2,4,1,5]=>{{1,3,6},{2,4,5,7}}=>0
[7,3,6,1,4,2,5]=>[3,7,6,2,1,5,4]=>{{1,3,5,6},{2,4,7}}=>0
[7,3,6,1,4,5,2]=>[3,7,6,2,1,4,5]=>{{1,2,3,4,5,6,7}}=>0
[7,3,6,1,5,2,4]=>[3,6,5,2,7,4,1]=>{{1,3,5,7},{2,4,6}}=>1
[7,3,6,1,5,4,2]=>[3,6,5,2,7,1,4]=>{{1,2,3,4,5,6,7}}=>0
[7,3,6,2,1,4,5]=>[3,7,6,1,4,5,2]=>{{1,3,4,5,6},{2,7}}=>0
[7,3,6,2,1,5,4]=>[3,7,6,1,4,2,5]=>{{1,2,3,4,5,6,7}}=>0
[7,3,6,2,4,1,5]=>[3,7,6,1,2,5,4]=>{{1,2,3,4,5,6,7}}=>0
[7,3,6,2,4,5,1]=>[3,7,6,1,2,4,5]=>{{1,3,4,6},{2,5,7}}=>0
[7,3,6,2,5,1,4]=>[3,6,5,1,7,4,2]=>{{1,2,3,4,5,6,7}}=>0
[7,3,6,2,5,4,1]=>[3,6,5,1,7,2,4]=>{{1,3,4,5,7},{2,6}}=>1
[7,3,6,4,1,2,5]=>[3,6,4,7,2,5,1]=>{{1,3,4,7},{2,5,6}}=>1
[7,3,6,4,1,5,2]=>[3,6,4,7,2,1,5]=>{{1,2,3,4,5,6,7}}=>0
[7,3,6,4,2,1,5]=>[3,6,4,7,1,5,2]=>{{1,2,3,4,5,6,7}}=>0
[7,3,6,4,2,5,1]=>[3,6,4,7,1,2,5]=>{{1,3,4,5,7},{2,6}}=>1
[7,3,6,4,5,1,2]=>[3,5,4,6,7,2,1]=>{{1,2,3,4,5,6,7}}=>0
[7,3,6,4,5,2,1]=>[3,5,4,6,7,1,2]=>{{1,3,4,6},{2,5,7}}=>0
[7,3,6,5,1,2,4]=>[3,6,5,7,4,2,1]=>{{1,3,4,5,7},{2,6}}=>1
[7,3,6,5,1,4,2]=>[3,6,5,7,4,1,2]=>{{1,2,3,4,5,6,7}}=>0
[7,3,6,5,2,1,4]=>[3,6,5,7,2,4,1]=>{{1,2,3,4,5,6,7}}=>0
[7,3,6,5,2,4,1]=>[3,6,5,7,2,1,4]=>{{1,2,3,5,6},{4,7}}=>0
[7,3,6,5,4,1,2]=>[3,6,5,7,1,4,2]=>{{1,3,5},{2,4,6,7}}=>0
[7,3,6,5,4,2,1]=>[3,6,5,7,1,2,4]=>{{1,3,5},{2,6},{4,7}}=>0
[7,4,1,2,3,5,6]=>[4,7,2,3,1,5,6]=>{{1,2,3,4,5,6,7}}=>0
[7,4,1,2,3,6,5]=>[4,6,2,3,1,7,5]=>{{1,2,3,4,5,6,7}}=>0
[7,4,1,2,5,3,6]=>[4,5,2,3,7,1,6]=>{{1,2,3,4,5,6,7}}=>0
[7,4,1,2,5,6,3]=>[4,5,2,3,6,7,1]=>{{1,2,3,4,5,6,7}}=>0
[7,4,1,2,6,3,5]=>[4,6,2,3,7,5,1]=>{{1,2,3,4,5,6,7}}=>0
[7,4,1,2,6,5,3]=>[4,6,2,3,7,1,5]=>{{1,2,3,4,6},{5,7}}=>0
[7,4,1,3,2,5,6]=>[4,7,2,1,3,5,6]=>{{1,4},{2,3,5,6,7}}=>0
[7,4,1,3,2,6,5]=>[4,6,2,1,3,7,5]=>{{1,4},{2,3,5,6,7}}=>0
[7,4,1,3,5,2,6]=>[4,5,2,1,7,3,6]=>{{1,4},{2,3,5,6,7}}=>0
[7,4,1,3,5,6,2]=>[4,5,2,1,6,7,3]=>{{1,4},{2,3,5,6,7}}=>0
[7,4,1,3,6,2,5]=>[4,6,2,1,7,5,3]=>{{1,4},{2,3,5,6,7}}=>0
[7,4,1,3,6,5,2]=>[4,6,2,1,7,3,5]=>{{1,4},{2,3,6},{5,7}}=>0
[7,4,1,5,2,3,6]=>[4,7,2,5,3,1,6]=>{{1,2,3,4,5,6,7}}=>0
[7,4,1,5,2,6,3]=>[4,6,2,5,3,7,1]=>{{1,2,3,4,5,6,7}}=>0
[7,4,1,5,3,2,6]=>[4,7,2,5,1,3,6]=>{{1,4,5},{2,3,6,7}}=>0
[7,4,1,5,3,6,2]=>[4,6,2,5,1,7,3]=>{{1,4,5},{2,3,6,7}}=>0
[7,4,1,5,6,2,3]=>[4,7,2,5,6,3,1]=>{{1,2,3,4,5,6,7}}=>0
[7,4,1,5,6,3,2]=>[4,7,2,5,6,1,3]=>{{1,4,5,6},{2,3,7}}=>0
[7,4,1,6,2,3,5]=>[4,7,2,6,3,5,1]=>{{1,2,3,4,5,6,7}}=>0
[7,4,1,6,2,5,3]=>[4,7,2,6,3,1,5]=>{{1,4,6},{2,3,5,7}}=>0
[7,4,1,6,3,2,5]=>[4,7,2,6,1,5,3]=>{{1,4,5,6},{2,3,7}}=>0
[7,4,1,6,3,5,2]=>[4,7,2,6,1,3,5]=>{{1,2,3,4,5,6,7}}=>0
[7,4,1,6,5,2,3]=>[4,6,2,5,7,3,1]=>{{1,4,5,7},{2,3,6}}=>1
[7,4,1,6,5,3,2]=>[4,6,2,5,7,1,3]=>{{1,2,3,4,5,6,7}}=>0
[7,4,2,1,3,5,6]=>[4,7,1,3,2,5,6]=>{{1,3,4},{2,5,6,7}}=>0
[7,4,2,1,3,6,5]=>[4,6,1,3,2,7,5]=>{{1,3,4},{2,5,6,7}}=>0
[7,4,2,1,5,3,6]=>[4,5,1,3,7,2,6]=>{{1,3,4},{2,5,6,7}}=>0
[7,4,2,1,5,6,3]=>[4,5,1,3,6,7,2]=>{{1,3,4},{2,5,6,7}}=>0
[7,4,2,1,6,3,5]=>[4,6,1,3,7,5,2]=>{{1,3,4},{2,5,6,7}}=>0
[7,4,2,1,6,5,3]=>[4,6,1,3,7,2,5]=>{{1,3,4},{2,6},{5,7}}=>0
[7,4,2,3,1,5,6]=>[4,7,1,2,3,5,6]=>{{1,2,3,4,5,6,7}}=>0
[7,4,2,3,1,6,5]=>[4,6,1,2,3,7,5]=>{{1,2,3,4,5,6,7}}=>0
[7,4,2,3,5,1,6]=>[4,5,1,2,7,3,6]=>{{1,2,3,4,5,6,7}}=>0
[7,4,2,3,5,6,1]=>[4,5,1,2,6,7,3]=>{{1,2,3,4,5,6,7}}=>0
[7,4,2,3,6,1,5]=>[4,6,1,2,7,5,3]=>{{1,2,3,4,5,6,7}}=>0
[7,4,2,3,6,5,1]=>[4,6,1,2,7,3,5]=>{{1,2,3,4,6},{5,7}}=>0
[7,4,2,5,1,3,6]=>[4,7,1,5,3,2,6]=>{{1,3,4,5},{2,6,7}}=>0
[7,4,2,5,1,6,3]=>[4,6,1,5,3,7,2]=>{{1,3,4,5},{2,6,7}}=>0
[7,4,2,5,3,1,6]=>[4,7,1,5,2,3,6]=>{{1,2,3,4,5,6,7}}=>0
[7,4,2,5,3,6,1]=>[4,6,1,5,2,7,3]=>{{1,2,3,4,5,6,7}}=>0
[7,4,2,5,6,1,3]=>[4,7,1,5,6,3,2]=>{{1,3,4,5,6},{2,7}}=>0
[7,4,2,5,6,3,1]=>[4,7,1,5,6,2,3]=>{{1,2,3,4,5,6,7}}=>0
[7,4,2,6,1,3,5]=>[4,7,1,6,3,5,2]=>{{1,3,4,5,6},{2,7}}=>0
[7,4,2,6,1,5,3]=>[4,7,1,6,3,2,5]=>{{1,2,3,4,5,6,7}}=>0
[7,4,2,6,3,1,5]=>[4,7,1,6,2,5,3]=>{{1,2,3,4,5,6,7}}=>0
[7,4,2,6,3,5,1]=>[4,7,1,6,2,3,5]=>{{1,3,4,6},{2,5,7}}=>0
[7,4,2,6,5,1,3]=>[4,6,1,5,7,3,2]=>{{1,2,3,4,5,6,7}}=>0
[7,4,2,6,5,3,1]=>[4,6,1,5,7,2,3]=>{{1,3,4,5,7},{2,6}}=>1
[7,4,3,1,2,5,6]=>[3,4,7,2,1,5,6]=>{{1,3,5,6,7},{2,4}}=>3
[7,4,3,1,2,6,5]=>[3,4,6,2,1,7,5]=>{{1,3,5,6,7},{2,4}}=>3
[7,4,3,1,5,2,6]=>[3,4,5,2,7,1,6]=>{{1,3,5,6,7},{2,4}}=>3
[7,4,3,1,5,6,2]=>[3,4,5,2,6,7,1]=>{{1,3,5,6,7},{2,4}}=>3
[7,4,3,1,6,2,5]=>[3,4,6,2,7,5,1]=>{{1,3,5,6,7},{2,4}}=>3
[7,4,3,1,6,5,2]=>[3,4,6,2,7,1,5]=>{{1,3,6},{2,4},{5,7}}=>1
[7,4,3,2,1,5,6]=>[3,4,7,1,2,5,6]=>{{1,2,3,4,5,6,7}}=>0
[7,4,3,2,1,6,5]=>[3,4,6,1,2,7,5]=>{{1,2,3,4,5,6,7}}=>0
[7,4,3,2,5,1,6]=>[3,4,5,1,7,2,6]=>{{1,2,3,4,5,6,7}}=>0
[7,4,3,2,5,6,1]=>[3,4,5,1,6,7,2]=>{{1,2,3,4,5,6,7}}=>0
[7,4,3,2,6,1,5]=>[3,4,6,1,7,5,2]=>{{1,2,3,4,5,6,7}}=>0
[7,4,3,2,6,5,1]=>[3,4,6,1,7,2,5]=>{{1,2,3,4,6},{5,7}}=>0
[7,4,3,5,1,2,6]=>[3,4,7,5,2,1,6]=>{{1,3,6,7},{2,4,5}}=>2
[7,4,3,5,1,6,2]=>[3,4,6,5,2,7,1]=>{{1,3,6,7},{2,4,5}}=>2
[7,4,3,5,2,1,6]=>[3,4,7,5,1,2,6]=>{{1,2,3,4,5,6,7}}=>0
[7,4,3,5,2,6,1]=>[3,4,6,5,1,7,2]=>{{1,2,3,4,5,6,7}}=>0
[7,4,3,5,6,1,2]=>[3,4,7,5,6,2,1]=>{{1,3,7},{2,4,5,6}}=>1
[7,4,3,5,6,2,1]=>[3,4,7,5,6,1,2]=>{{1,2,3,4,5,6,7}}=>0
[7,4,3,6,1,2,5]=>[3,4,7,6,2,5,1]=>{{1,3,7},{2,4,5,6}}=>1
[7,4,3,6,1,5,2]=>[3,4,7,6,2,1,5]=>{{1,2,3,4,5,6,7}}=>0
[7,4,3,6,2,1,5]=>[3,4,7,6,1,5,2]=>{{1,2,3,4,5,6,7}}=>0
[7,4,3,6,2,5,1]=>[3,4,7,6,1,2,5]=>{{1,3,5,7},{2,4,6}}=>1
[7,4,3,6,5,1,2]=>[3,4,6,5,7,2,1]=>{{1,2,3,4,5,6,7}}=>0
[7,4,3,6,5,2,1]=>[3,4,6,5,7,1,2]=>{{1,3,6},{2,4,5,7}}=>0
[7,4,5,1,2,3,6]=>[4,7,5,3,2,1,6]=>{{1,2,3,4,5,6,7}}=>0
[7,4,5,1,2,6,3]=>[4,6,5,3,2,7,1]=>{{1,2,3,4,5,6,7}}=>0
[7,4,5,1,3,2,6]=>[4,7,5,3,1,2,6]=>{{1,3,4,5},{2,6,7}}=>0
[7,4,5,1,3,6,2]=>[4,6,5,3,1,7,2]=>{{1,3,4,5},{2,6,7}}=>0
[7,4,5,1,6,2,3]=>[4,7,5,3,6,2,1]=>{{1,2,3,4,5,6,7}}=>0
[7,4,5,1,6,3,2]=>[4,7,5,3,6,1,2]=>{{1,3,4,5,6},{2,7}}=>0
[7,4,5,2,1,3,6]=>[4,7,5,2,3,1,6]=>{{1,2,4,6,7},{3,5}}=>2
[7,4,5,2,1,6,3]=>[4,6,5,2,3,7,1]=>{{1,2,4,6,7},{3,5}}=>2
[7,4,5,2,3,1,6]=>[4,7,5,2,1,3,6]=>{{1,2,3,4,5,6,7}}=>0
[7,4,5,2,3,6,1]=>[4,6,5,2,1,7,3]=>{{1,2,3,4,5,6,7}}=>0
[7,4,5,2,6,1,3]=>[4,7,5,2,6,3,1]=>{{1,2,4,7},{3,5,6}}=>1
[7,4,5,2,6,3,1]=>[4,7,5,2,6,1,3]=>{{1,2,3,4,5,6,7}}=>0
[7,4,5,3,1,2,6]=>[4,7,5,1,3,2,6]=>{{1,4},{2,6,7},{3,5}}=>2
[7,4,5,3,1,6,2]=>[4,6,5,1,3,7,2]=>{{1,4},{2,6,7},{3,5}}=>2
[7,4,5,3,2,1,6]=>[4,7,5,1,2,3,6]=>{{1,4},{2,3,5,6,7}}=>0
[7,4,5,3,2,6,1]=>[4,6,5,1,2,7,3]=>{{1,4},{2,3,5,6,7}}=>0
[7,4,5,3,6,1,2]=>[4,7,5,1,6,3,2]=>{{1,4},{2,7},{3,5,6}}=>1
[7,4,5,3,6,2,1]=>[4,7,5,1,6,2,3]=>{{1,4},{2,3,5,6,7}}=>0
[7,4,5,6,1,2,3]=>[4,7,6,5,3,2,1]=>{{1,2,3,4,5,6,7}}=>0
[7,4,5,6,1,3,2]=>[4,7,6,5,3,1,2]=>{{1,3,4,5,6},{2,7}}=>0
[7,4,5,6,2,1,3]=>[4,7,6,5,2,3,1]=>{{1,2,4,5,7},{3,6}}=>1
[7,4,5,6,2,3,1]=>[4,7,6,5,2,1,3]=>{{1,2,3,4,5,6,7}}=>0
[7,4,5,6,3,1,2]=>[4,7,6,5,1,3,2]=>{{1,4,5},{2,7},{3,6}}=>1
[7,4,5,6,3,2,1]=>[4,7,6,5,1,2,3]=>{{1,4,5},{2,3,6,7}}=>0
[7,4,6,1,2,3,5]=>[4,7,6,3,2,5,1]=>{{1,2,3,4,5,6,7}}=>0
[7,4,6,1,2,5,3]=>[4,7,6,3,2,1,5]=>{{1,3,4,6},{2,5,7}}=>0
[7,4,6,1,3,2,5]=>[4,7,6,3,1,5,2]=>{{1,3,4,5,6},{2,7}}=>0
[7,4,6,1,3,5,2]=>[4,7,6,3,1,2,5]=>{{1,2,3,4,5,6,7}}=>0
[7,4,6,1,5,2,3]=>[4,6,5,3,7,2,1]=>{{1,3,4,5,7},{2,6}}=>1
[7,4,6,1,5,3,2]=>[4,6,5,3,7,1,2]=>{{1,2,3,4,5,6,7}}=>0
[7,4,6,2,1,3,5]=>[4,7,6,2,3,5,1]=>{{1,2,4,7},{3,5,6}}=>1
[7,4,6,2,1,5,3]=>[4,7,6,2,3,1,5]=>{{1,2,3,4,5,6,7}}=>0
[7,4,6,2,3,1,5]=>[4,7,6,2,1,5,3]=>{{1,2,3,4,5,6,7}}=>0
[7,4,6,2,3,5,1]=>[4,7,6,2,1,3,5]=>{{1,2,4,5,7},{3,6}}=>1
[7,4,6,2,5,1,3]=>[4,6,5,2,7,3,1]=>{{1,2,3,4,5,6,7}}=>0
[7,4,6,2,5,3,1]=>[4,6,5,2,7,1,3]=>{{1,2,4,6},{3,5,7}}=>0
[7,4,6,3,1,2,5]=>[4,7,6,1,3,5,2]=>{{1,4},{2,7},{3,5,6}}=>1
[7,4,6,3,1,5,2]=>[4,7,6,1,3,2,5]=>{{1,4},{2,3,5,6,7}}=>0
[7,4,6,3,2,1,5]=>[4,7,6,1,2,5,3]=>{{1,4},{2,3,5,6,7}}=>0
[7,4,6,3,2,5,1]=>[4,7,6,1,2,3,5]=>{{1,4},{2,5,7},{3,6}}=>1
[7,4,6,3,5,1,2]=>[4,6,5,1,7,3,2]=>{{1,4},{2,3,5,6,7}}=>0
[7,4,6,3,5,2,1]=>[4,6,5,1,7,2,3]=>{{1,4},{2,6},{3,5,7}}=>0
[7,4,6,5,1,2,3]=>[4,7,5,6,3,2,1]=>{{1,2,4,6,7},{3,5}}=>2
[7,4,6,5,1,3,2]=>[4,7,5,6,3,1,2]=>{{1,4,6},{2,7},{3,5}}=>2
[7,4,6,5,2,1,3]=>[4,7,5,6,2,3,1]=>{{1,2,3,4,5,6,7}}=>0
[7,4,6,5,2,3,1]=>[4,7,5,6,2,1,3]=>{{1,4,6},{2,3,5,7}}=>0
[7,4,6,5,3,1,2]=>[4,7,5,6,1,3,2]=>{{1,3,4,5,6},{2,7}}=>0
[7,4,6,5,3,2,1]=>[4,7,5,6,1,2,3]=>{{1,2,3,4,5,6,7}}=>0
[7,5,1,2,3,4,6]=>[5,7,2,3,4,1,6]=>{{1,2,3,4,5,6,7}}=>0
[7,5,1,2,3,6,4]=>[5,6,2,3,4,7,1]=>{{1,2,3,4,5,6,7}}=>0
[7,5,1,2,4,3,6]=>[5,7,2,3,1,4,6]=>{{1,5},{2,3,4,6,7}}=>0
[7,5,1,2,4,6,3]=>[5,6,2,3,1,7,4]=>{{1,5},{2,3,4,6,7}}=>0
[7,5,1,2,6,3,4]=>[5,7,2,3,6,4,1]=>{{1,2,3,4,5,6,7}}=>0
[7,5,1,2,6,4,3]=>[5,7,2,3,6,1,4]=>{{1,5,6},{2,3,4,7}}=>0
[7,5,1,3,2,4,6]=>[5,7,2,1,4,3,6]=>{{1,4,5},{2,3,6,7}}=>0
[7,5,1,3,2,6,4]=>[5,6,2,1,4,7,3]=>{{1,4,5},{2,3,6,7}}=>0
[7,5,1,3,4,2,6]=>[5,7,2,1,3,4,6]=>{{1,2,3,4,5,6,7}}=>0
[7,5,1,3,4,6,2]=>[5,6,2,1,3,7,4]=>{{1,2,3,4,5,6,7}}=>0
[7,5,1,3,6,2,4]=>[5,7,2,1,6,4,3]=>{{1,4,5,6},{2,3,7}}=>0
[7,5,1,3,6,4,2]=>[5,7,2,1,6,3,4]=>{{1,2,3,4,5,6,7}}=>0
[7,5,1,4,2,3,6]=>[4,5,2,7,3,1,6]=>{{1,4,6,7},{2,3,5}}=>2
[7,5,1,4,2,6,3]=>[4,5,2,6,3,7,1]=>{{1,4,6,7},{2,3,5}}=>2
[7,5,1,4,3,2,6]=>[4,5,2,7,1,3,6]=>{{1,2,3,4,5,6,7}}=>0
[7,5,1,4,3,6,2]=>[4,5,2,6,1,7,3]=>{{1,2,3,4,5,6,7}}=>0
[7,5,1,4,6,2,3]=>[4,5,2,7,6,3,1]=>{{1,4,7},{2,3,5,6}}=>1
[7,5,1,4,6,3,2]=>[4,5,2,7,6,1,3]=>{{1,2,3,4,5,6,7}}=>0
[7,5,1,6,2,3,4]=>[5,7,2,6,4,3,1]=>{{1,2,3,4,5,6,7}}=>0
[7,5,1,6,2,4,3]=>[5,7,2,6,4,1,3]=>{{1,4,5,6},{2,3,7}}=>0
[7,5,1,6,3,2,4]=>[5,7,2,6,3,4,1]=>{{1,2,3,5,7},{4,6}}=>1
[7,5,1,6,3,4,2]=>[5,7,2,6,3,1,4]=>{{1,2,3,4,5,6,7}}=>0
[7,5,1,6,4,2,3]=>[5,7,2,6,1,4,3]=>{{1,5},{2,3,7},{4,6}}=>1
[7,5,1,6,4,3,2]=>[5,7,2,6,1,3,4]=>{{1,5},{2,3,4,6,7}}=>0
[7,5,2,1,3,4,6]=>[5,7,1,3,4,2,6]=>{{1,3,4,5},{2,6,7}}=>0
[7,5,2,1,3,6,4]=>[5,6,1,3,4,7,2]=>{{1,3,4,5},{2,6,7}}=>0
[7,5,2,1,4,3,6]=>[5,7,1,3,2,4,6]=>{{1,2,3,4,5,6,7}}=>0
[7,5,2,1,4,6,3]=>[5,6,1,3,2,7,4]=>{{1,2,3,4,5,6,7}}=>0
[7,5,2,1,6,3,4]=>[5,7,1,3,6,4,2]=>{{1,3,4,5,6},{2,7}}=>0
[7,5,2,1,6,4,3]=>[5,7,1,3,6,2,4]=>{{1,2,3,4,5,6,7}}=>0
[7,5,2,3,1,4,6]=>[5,7,1,2,4,3,6]=>{{1,2,3,4,5,6,7}}=>0
[7,5,2,3,1,6,4]=>[5,6,1,2,4,7,3]=>{{1,2,3,4,5,6,7}}=>0
[7,5,2,3,4,1,6]=>[5,7,1,2,3,4,6]=>{{1,3,5},{2,4,6,7}}=>0
[7,5,2,3,4,6,1]=>[5,6,1,2,3,7,4]=>{{1,3,5},{2,4,6,7}}=>0
[7,5,2,3,6,1,4]=>[5,7,1,2,6,4,3]=>{{1,2,3,4,5,6,7}}=>0
[7,5,2,3,6,4,1]=>[5,7,1,2,6,3,4]=>{{1,3,5,6},{2,4,7}}=>0
[7,5,2,4,1,3,6]=>[4,5,1,7,3,2,6]=>{{1,2,3,4,5,6,7}}=>0
[7,5,2,4,1,6,3]=>[4,5,1,6,3,7,2]=>{{1,2,3,4,5,6,7}}=>0
[7,5,2,4,3,1,6]=>[4,5,1,7,2,3,6]=>{{1,3,4,6,7},{2,5}}=>2
[7,5,2,4,3,6,1]=>[4,5,1,6,2,7,3]=>{{1,3,4,6,7},{2,5}}=>2
[7,5,2,4,6,1,3]=>[4,5,1,7,6,3,2]=>{{1,2,3,4,5,6,7}}=>0
[7,5,2,4,6,3,1]=>[4,5,1,7,6,2,3]=>{{1,3,4,7},{2,5,6}}=>1
[7,5,2,6,1,3,4]=>[5,7,1,6,4,3,2]=>{{1,3,4,5,6},{2,7}}=>0
[7,5,2,6,1,4,3]=>[5,7,1,6,4,2,3]=>{{1,2,3,4,5,6,7}}=>0
[7,5,2,6,3,1,4]=>[5,7,1,6,3,4,2]=>{{1,3,5},{2,7},{4,6}}=>1
[7,5,2,6,3,4,1]=>[5,7,1,6,3,2,4]=>{{1,3,5},{2,4,6,7}}=>0
[7,5,2,6,4,1,3]=>[5,7,1,6,2,4,3]=>{{1,2,3,5,7},{4,6}}=>1
[7,5,2,6,4,3,1]=>[5,7,1,6,2,3,4]=>{{1,2,3,4,5,6,7}}=>0
[7,5,3,1,2,4,6]=>[3,5,7,2,4,1,6]=>{{1,3,6,7},{2,4,5}}=>2
[7,5,3,1,2,6,4]=>[3,5,6,2,4,7,1]=>{{1,3,6,7},{2,4,5}}=>2
[7,5,3,1,4,2,6]=>[3,5,7,2,1,4,6]=>{{1,2,3,4,5,6,7}}=>0
[7,5,3,1,4,6,2]=>[3,5,6,2,1,7,4]=>{{1,2,3,4,5,6,7}}=>0
[7,5,3,1,6,2,4]=>[3,5,7,2,6,4,1]=>{{1,3,7},{2,4,5,6}}=>1
[7,5,3,1,6,4,2]=>[3,5,7,2,6,1,4]=>{{1,2,3,4,5,6,7}}=>0
[7,5,3,2,1,4,6]=>[3,5,7,1,4,2,6]=>{{1,2,3,4,5,6,7}}=>0
[7,5,3,2,1,6,4]=>[3,5,6,1,4,7,2]=>{{1,2,3,4,5,6,7}}=>0
[7,5,3,2,4,1,6]=>[3,5,7,1,2,4,6]=>{{1,3,4,6,7},{2,5}}=>2
[7,5,3,2,4,6,1]=>[3,5,6,1,2,7,4]=>{{1,3,4,6,7},{2,5}}=>2
[7,5,3,2,6,1,4]=>[3,5,7,1,6,4,2]=>{{1,2,3,4,5,6,7}}=>0
[7,5,3,2,6,4,1]=>[3,5,7,1,6,2,4]=>{{1,3,4,7},{2,5,6}}=>1
[7,5,3,4,1,2,6]=>[3,4,5,7,2,1,6]=>{{1,2,3,4,5,6,7}}=>0
[7,5,3,4,1,6,2]=>[3,4,5,6,2,7,1]=>{{1,2,3,4,5,6,7}}=>0
[7,5,3,4,2,1,6]=>[3,4,5,7,1,2,6]=>{{1,3,5},{2,4,6,7}}=>0
[7,5,3,4,2,6,1]=>[3,4,5,6,1,7,2]=>{{1,3,5},{2,4,6,7}}=>0
[7,5,3,4,6,1,2]=>[3,4,5,7,6,2,1]=>{{1,2,3,4,5,6,7}}=>0
[7,5,3,4,6,2,1]=>[3,4,5,7,6,1,2]=>{{1,3,5,6},{2,4,7}}=>0
[7,5,3,6,1,2,4]=>[3,5,7,6,4,2,1]=>{{1,3,7},{2,4,5,6}}=>1
[7,5,3,6,1,4,2]=>[3,5,7,6,4,1,2]=>{{1,2,3,4,5,6,7}}=>0
[7,5,3,6,2,1,4]=>[3,5,7,6,2,4,1]=>{{1,3,7},{2,5},{4,6}}=>2
[7,5,3,6,2,4,1]=>[3,5,7,6,2,1,4]=>{{1,3,4,6,7},{2,5}}=>2
[7,5,3,6,4,1,2]=>[3,5,7,6,1,4,2]=>{{1,2,3,5,7},{4,6}}=>1
[7,5,3,6,4,2,1]=>[3,5,7,6,1,2,4]=>{{1,2,3,4,5,6,7}}=>0
[7,5,4,1,2,3,6]=>[4,5,7,3,2,1,6]=>{{1,3,4,6,7},{2,5}}=>2
[7,5,4,1,2,6,3]=>[4,5,6,3,2,7,1]=>{{1,3,4,6,7},{2,5}}=>2
[7,5,4,1,3,2,6]=>[4,5,7,3,1,2,6]=>{{1,2,3,4,5,6,7}}=>0
[7,5,4,1,3,6,2]=>[4,5,6,3,1,7,2]=>{{1,2,3,4,5,6,7}}=>0
[7,5,4,1,6,2,3]=>[4,5,7,3,6,2,1]=>{{1,3,4,7},{2,5,6}}=>1
[7,5,4,1,6,3,2]=>[4,5,7,3,6,1,2]=>{{1,2,3,4,5,6,7}}=>0
[7,5,4,2,1,3,6]=>[4,5,7,2,3,1,6]=>{{1,2,3,4,5,6,7}}=>0
[7,5,4,2,1,6,3]=>[4,5,6,2,3,7,1]=>{{1,2,3,4,5,6,7}}=>0
[7,5,4,2,3,1,6]=>[4,5,7,2,1,3,6]=>{{1,2,4,5},{3,6,7}}=>0
[7,5,4,2,3,6,1]=>[4,5,6,2,1,7,3]=>{{1,2,4,5},{3,6,7}}=>0
[7,5,4,2,6,1,3]=>[4,5,7,2,6,3,1]=>{{1,2,3,4,5,6,7}}=>0
[7,5,4,2,6,3,1]=>[4,5,7,2,6,1,3]=>{{1,2,4,5,6},{3,7}}=>0
[7,5,4,3,1,2,6]=>[4,5,7,1,3,2,6]=>{{1,4},{2,3,5,6,7}}=>0
[7,5,4,3,1,6,2]=>[4,5,6,1,3,7,2]=>{{1,4},{2,3,5,6,7}}=>0
[7,5,4,3,2,1,6]=>[4,5,7,1,2,3,6]=>{{1,4},{2,5},{3,6,7}}=>0
[7,5,4,3,2,6,1]=>[4,5,6,1,2,7,3]=>{{1,4},{2,5},{3,6,7}}=>0
[7,5,4,3,6,1,2]=>[4,5,7,1,6,3,2]=>{{1,4},{2,3,5,6,7}}=>0
[7,5,4,3,6,2,1]=>[4,5,7,1,6,2,3]=>{{1,4},{2,5,6},{3,7}}=>0
[7,5,4,6,1,2,3]=>[4,6,7,5,3,2,1]=>{{1,3,4,5,7},{2,6}}=>1
[7,5,4,6,1,3,2]=>[4,6,7,5,3,1,2]=>{{1,2,3,4,5,6,7}}=>0
[7,5,4,6,2,1,3]=>[4,6,7,5,2,3,1]=>{{1,2,3,4,5,6,7}}=>0
[7,5,4,6,2,3,1]=>[4,6,7,5,2,1,3]=>{{1,2,4,5,6},{3,7}}=>0
[7,5,4,6,3,1,2]=>[4,6,7,5,1,3,2]=>{{1,4,5},{2,3,6,7}}=>0
[7,5,4,6,3,2,1]=>[4,6,7,5,1,2,3]=>{{1,4,5},{2,6},{3,7}}=>0
[7,5,6,1,2,3,4]=>[5,7,6,3,4,2,1]=>{{1,2,3,4,5,6,7}}=>0
[7,5,6,1,2,4,3]=>[5,7,6,3,4,1,2]=>{{1,3,4,5,6},{2,7}}=>0
[7,5,6,1,3,2,4]=>[5,7,6,3,2,4,1]=>{{1,2,5,7},{3,4,6}}=>1
[7,5,6,1,3,4,2]=>[5,7,6,3,2,1,4]=>{{1,2,3,4,5,6,7}}=>0
[7,5,6,1,4,2,3]=>[5,7,6,3,1,4,2]=>{{1,5},{2,7},{3,4,6}}=>1
[7,5,6,1,4,3,2]=>[5,7,6,3,1,2,4]=>{{1,5},{2,3,4,6,7}}=>0
[7,5,6,2,1,3,4]=>[5,7,6,2,4,3,1]=>{{1,2,4,5,7},{3,6}}=>1
[7,5,6,2,1,4,3]=>[5,7,6,2,4,1,3]=>{{1,2,3,4,5,6,7}}=>0
[7,5,6,2,3,1,4]=>[5,7,6,2,3,4,1]=>{{1,2,3,4,5,6,7}}=>0
[7,5,6,2,3,4,1]=>[5,7,6,2,3,1,4]=>{{1,3,5,6},{2,4,7}}=>0
[7,5,6,2,4,1,3]=>[5,7,6,2,1,4,3]=>{{1,5},{2,3,4,6,7}}=>0
[7,5,6,2,4,3,1]=>[5,7,6,2,1,3,4]=>{{1,5},{2,4,7},{3,6}}=>1
[7,5,6,3,1,2,4]=>[5,7,6,1,4,3,2]=>{{1,4,5},{2,7},{3,6}}=>1
[7,5,6,3,1,4,2]=>[5,7,6,1,4,2,3]=>{{1,4,5},{2,3,6,7}}=>0
[7,5,6,3,2,1,4]=>[5,7,6,1,3,4,2]=>{{1,3,4,5,6},{2,7}}=>0
[7,5,6,3,2,4,1]=>[5,7,6,1,3,2,4]=>{{1,2,3,4,5,6,7}}=>0
[7,5,6,3,4,1,2]=>[5,7,6,1,2,4,3]=>{{1,2,3,4,5,6,7}}=>0
[7,5,6,3,4,2,1]=>[5,7,6,1,2,3,4]=>{{1,2,4,5,7},{3,6}}=>1
[7,5,6,4,1,2,3]=>[4,6,5,7,3,2,1]=>{{1,4,7},{2,6},{3,5}}=>3
[7,5,6,4,1,3,2]=>[4,6,5,7,3,1,2]=>{{1,2,4,6,7},{3,5}}=>2
[7,5,6,4,2,1,3]=>[4,6,5,7,2,3,1]=>{{1,4,7},{2,3,5,6}}=>1
[7,5,6,4,2,3,1]=>[4,6,5,7,2,1,3]=>{{1,2,3,4,5,6,7}}=>0
[7,5,6,4,3,1,2]=>[4,6,5,7,1,3,2]=>{{1,2,3,4,5,6,7}}=>0
[7,5,6,4,3,2,1]=>[4,6,5,7,1,2,3]=>{{1,3,4,5,7},{2,6}}=>1
[7,6,1,2,3,4,5]=>[6,7,2,3,4,5,1]=>{{1,2,3,4,5,6,7}}=>0
[7,6,1,2,3,5,4]=>[6,7,2,3,4,1,5]=>{{1,6},{2,3,4,5,7}}=>0
[7,6,1,2,4,3,5]=>[6,7,2,3,1,5,4]=>{{1,5,6},{2,3,4,7}}=>0
[7,6,1,2,4,5,3]=>[6,7,2,3,1,4,5]=>{{1,2,3,4,5,6,7}}=>0
[7,6,1,2,5,3,4]=>[5,6,2,3,7,4,1]=>{{1,5,7},{2,3,4,6}}=>1
[7,6,1,2,5,4,3]=>[5,6,2,3,7,1,4]=>{{1,2,3,4,5,6,7}}=>0
[7,6,1,3,2,4,5]=>[6,7,2,1,4,5,3]=>{{1,4,5,6},{2,3,7}}=>0
[7,6,1,3,2,5,4]=>[6,7,2,1,4,3,5]=>{{1,2,3,4,5,6,7}}=>0
[7,6,1,3,4,2,5]=>[6,7,2,1,3,5,4]=>{{1,2,3,4,5,6,7}}=>0
[7,6,1,3,4,5,2]=>[6,7,2,1,3,4,5]=>{{1,4,6},{2,3,5,7}}=>0
[7,6,1,3,5,2,4]=>[5,6,2,1,7,4,3]=>{{1,2,3,4,5,6,7}}=>0
[7,6,1,3,5,4,2]=>[5,6,2,1,7,3,4]=>{{1,4,5,7},{2,3,6}}=>1
[7,6,1,4,2,3,5]=>[4,6,2,7,3,5,1]=>{{1,4,7},{2,3,5,6}}=>1
[7,6,1,4,2,5,3]=>[4,6,2,7,3,1,5]=>{{1,2,3,4,5,6,7}}=>0
[7,6,1,4,3,2,5]=>[4,6,2,7,1,5,3]=>{{1,2,3,4,5,6,7}}=>0
[7,6,1,4,3,5,2]=>[4,6,2,7,1,3,5]=>{{1,4,5,7},{2,3,6}}=>1
[7,6,1,4,5,2,3]=>[4,5,2,6,7,3,1]=>{{1,2,3,4,5,6,7}}=>0
[7,6,1,4,5,3,2]=>[4,5,2,6,7,1,3]=>{{1,4,6},{2,3,5,7}}=>0
[7,6,1,5,2,3,4]=>[5,6,2,7,4,3,1]=>{{1,4,5,7},{2,3,6}}=>1
[7,6,1,5,2,4,3]=>[5,6,2,7,4,1,3]=>{{1,2,3,4,5,6,7}}=>0
[7,6,1,5,3,2,4]=>[5,6,2,7,3,4,1]=>{{1,2,3,4,5,6,7}}=>0
[7,6,1,5,3,4,2]=>[5,6,2,7,3,1,4]=>{{1,2,3,5,6},{4,7}}=>0
[7,6,1,5,4,2,3]=>[5,6,2,7,1,4,3]=>{{1,5},{2,3,4,6,7}}=>0
[7,6,1,5,4,3,2]=>[5,6,2,7,1,3,4]=>{{1,5},{2,3,6},{4,7}}=>0
[7,6,2,1,3,4,5]=>[6,7,1,3,4,5,2]=>{{1,3,4,5,6},{2,7}}=>0
[7,6,2,1,3,5,4]=>[6,7,1,3,4,2,5]=>{{1,2,3,4,5,6,7}}=>0
[7,6,2,1,4,3,5]=>[6,7,1,3,2,5,4]=>{{1,2,3,4,5,6,7}}=>0
[7,6,2,1,4,5,3]=>[6,7,1,3,2,4,5]=>{{1,3,4,6},{2,5,7}}=>0
[7,6,2,1,5,3,4]=>[5,6,1,3,7,4,2]=>{{1,2,3,4,5,6,7}}=>0
[7,6,2,1,5,4,3]=>[5,6,1,3,7,2,4]=>{{1,3,4,5,7},{2,6}}=>1
[7,6,2,3,1,4,5]=>[6,7,1,2,4,5,3]=>{{1,2,3,4,5,6,7}}=>0
[7,6,2,3,1,5,4]=>[6,7,1,2,4,3,5]=>{{1,3,6},{2,4,5,7}}=>0
[7,6,2,3,4,1,5]=>[6,7,1,2,3,5,4]=>{{1,3,5,6},{2,4,7}}=>0
[7,6,2,3,4,5,1]=>[6,7,1,2,3,4,5]=>{{1,2,3,4,5,6,7}}=>0
[7,6,2,3,5,1,4]=>[5,6,1,2,7,4,3]=>{{1,3,5,7},{2,4,6}}=>1
[7,6,2,3,5,4,1]=>[5,6,1,2,7,3,4]=>{{1,2,3,4,5,6,7}}=>0
[7,6,2,4,1,3,5]=>[4,6,1,7,3,5,2]=>{{1,2,3,4,5,6,7}}=>0
[7,6,2,4,1,5,3]=>[4,6,1,7,3,2,5]=>{{1,3,4,5,7},{2,6}}=>1
[7,6,2,4,3,1,5]=>[4,6,1,7,2,5,3]=>{{1,3,4,7},{2,5,6}}=>1
[7,6,2,4,3,5,1]=>[4,6,1,7,2,3,5]=>{{1,2,3,4,5,6,7}}=>0
[7,6,2,4,5,1,3]=>[4,5,1,6,7,3,2]=>{{1,3,4,6},{2,5,7}}=>0
[7,6,2,4,5,3,1]=>[4,5,1,6,7,2,3]=>{{1,2,3,4,5,6,7}}=>0
[7,6,2,5,1,3,4]=>[5,6,1,7,4,3,2]=>{{1,2,3,4,5,6,7}}=>0
[7,6,2,5,1,4,3]=>[5,6,1,7,4,2,3]=>{{1,3,4,5,7},{2,6}}=>1
[7,6,2,5,3,1,4]=>[5,6,1,7,3,4,2]=>{{1,3,5},{2,4,6,7}}=>0
[7,6,2,5,3,4,1]=>[5,6,1,7,3,2,4]=>{{1,3,5},{2,6},{4,7}}=>0
[7,6,2,5,4,1,3]=>[5,6,1,7,2,4,3]=>{{1,2,3,4,5,6,7}}=>0
[7,6,2,5,4,3,1]=>[5,6,1,7,2,3,4]=>{{1,2,3,5,6},{4,7}}=>0
[7,6,3,1,2,4,5]=>[3,6,7,2,4,5,1]=>{{1,3,7},{2,4,5,6}}=>1
[7,6,3,1,2,5,4]=>[3,6,7,2,4,1,5]=>{{1,2,3,4,5,6,7}}=>0
[7,6,3,1,4,2,5]=>[3,6,7,2,1,5,4]=>{{1,2,3,4,5,6,7}}=>0
[7,6,3,1,4,5,2]=>[3,6,7,2,1,4,5]=>{{1,3,5,7},{2,4,6}}=>1
[7,6,3,1,5,2,4]=>[3,5,6,2,7,4,1]=>{{1,2,3,4,5,6,7}}=>0
[7,6,3,1,5,4,2]=>[3,5,6,2,7,1,4]=>{{1,3,6},{2,4,5,7}}=>0
[7,6,3,2,1,4,5]=>[3,6,7,1,4,5,2]=>{{1,2,3,4,5,6,7}}=>0
[7,6,3,2,1,5,4]=>[3,6,7,1,4,2,5]=>{{1,3,4,5,7},{2,6}}=>1
[7,6,3,2,4,1,5]=>[3,6,7,1,2,5,4]=>{{1,3,4,7},{2,5,6}}=>1
[7,6,3,2,4,5,1]=>[3,6,7,1,2,4,5]=>{{1,2,3,4,5,6,7}}=>0
[7,6,3,2,5,1,4]=>[3,5,6,1,7,4,2]=>{{1,3,4,6},{2,5,7}}=>0
[7,6,3,2,5,4,1]=>[3,5,6,1,7,2,4]=>{{1,2,3,4,5,6,7}}=>0
[7,6,3,4,1,2,5]=>[3,4,6,7,2,5,1]=>{{1,2,3,4,5,6,7}}=>0
[7,6,3,4,1,5,2]=>[3,4,6,7,2,1,5]=>{{1,3,6},{2,4,5,7}}=>0
[7,6,3,4,2,1,5]=>[3,4,6,7,1,5,2]=>{{1,3,5,6},{2,4,7}}=>0
[7,6,3,4,2,5,1]=>[3,4,6,7,1,2,5]=>{{1,2,3,4,5,6,7}}=>0
[7,6,3,4,5,1,2]=>[3,4,5,6,7,2,1]=>{{1,3,5,7},{2,4,6}}=>1
[7,6,3,4,5,2,1]=>[3,4,5,6,7,1,2]=>{{1,2,3,4,5,6,7}}=>0
[7,6,3,5,1,2,4]=>[3,5,6,7,4,2,1]=>{{1,2,3,4,5,6,7}}=>0
[7,6,3,5,1,4,2]=>[3,5,6,7,4,1,2]=>{{1,3,6},{2,4,5,7}}=>0
[7,6,3,5,2,1,4]=>[3,5,6,7,2,4,1]=>{{1,3,4,6,7},{2,5}}=>2
[7,6,3,5,2,4,1]=>[3,5,6,7,2,1,4]=>{{1,3,6},{2,5},{4,7}}=>1
[7,6,3,5,4,1,2]=>[3,5,6,7,1,4,2]=>{{1,2,3,4,5,6,7}}=>0
[7,6,3,5,4,2,1]=>[3,5,6,7,1,2,4]=>{{1,2,3,5,6},{4,7}}=>0
[7,6,4,1,2,3,5]=>[4,6,7,3,2,5,1]=>{{1,3,4,7},{2,5,6}}=>1
[7,6,4,1,2,5,3]=>[4,6,7,3,2,1,5]=>{{1,2,3,4,5,6,7}}=>0
[7,6,4,1,3,2,5]=>[4,6,7,3,1,5,2]=>{{1,2,3,4,5,6,7}}=>0
[7,6,4,1,3,5,2]=>[4,6,7,3,1,2,5]=>{{1,3,4,5,7},{2,6}}=>1
[7,6,4,1,5,2,3]=>[4,5,6,3,7,2,1]=>{{1,2,3,4,5,6,7}}=>0
[7,6,4,1,5,3,2]=>[4,5,6,3,7,1,2]=>{{1,3,4,6},{2,5,7}}=>0
[7,6,4,2,1,3,5]=>[4,6,7,2,3,5,1]=>{{1,2,3,4,5,6,7}}=>0
[7,6,4,2,1,5,3]=>[4,6,7,2,3,1,5]=>{{1,2,4,6},{3,5,7}}=>0
[7,6,4,2,3,1,5]=>[4,6,7,2,1,5,3]=>{{1,2,4,5,6},{3,7}}=>0
[7,6,4,2,3,5,1]=>[4,6,7,2,1,3,5]=>{{1,2,3,4,5,6,7}}=>0
[7,6,4,2,5,1,3]=>[4,5,6,2,7,3,1]=>{{1,2,4,5,7},{3,6}}=>1
[7,6,4,2,5,3,1]=>[4,5,6,2,7,1,3]=>{{1,2,3,4,5,6,7}}=>0
[7,6,4,3,1,2,5]=>[4,6,7,1,3,5,2]=>{{1,4},{2,3,5,6,7}}=>0
[7,6,4,3,1,5,2]=>[4,6,7,1,3,2,5]=>{{1,4},{2,6},{3,5,7}}=>0
[7,6,4,3,2,1,5]=>[4,6,7,1,2,5,3]=>{{1,4},{2,5,6},{3,7}}=>0
[7,6,4,3,2,5,1]=>[4,6,7,1,2,3,5]=>{{1,4},{2,3,5,6,7}}=>0
[7,6,4,3,5,1,2]=>[4,5,6,1,7,3,2]=>{{1,4},{2,5,7},{3,6}}=>1
[7,6,4,3,5,2,1]=>[4,5,6,1,7,2,3]=>{{1,4},{2,3,5,6,7}}=>0
[7,6,4,5,1,2,3]=>[4,5,7,6,3,2,1]=>{{1,2,3,4,5,6,7}}=>0
[7,6,4,5,1,3,2]=>[4,5,7,6,3,1,2]=>{{1,4,6},{2,3,5,7}}=>0
[7,6,4,5,2,1,3]=>[4,5,7,6,2,3,1]=>{{1,3,4,6,7},{2,5}}=>2
[7,6,4,5,2,3,1]=>[4,5,7,6,2,1,3]=>{{1,4,6},{2,5},{3,7}}=>1
[7,6,4,5,3,1,2]=>[4,5,7,6,1,3,2]=>{{1,2,3,4,5,6,7}}=>0
[7,6,4,5,3,2,1]=>[4,5,7,6,1,2,3]=>{{1,2,4,5,6},{3,7}}=>0
[7,6,5,1,2,3,4]=>[5,6,7,3,4,2,1]=>{{1,3,4,5,7},{2,6}}=>1
[7,6,5,1,2,4,3]=>[5,6,7,3,4,1,2]=>{{1,2,3,4,5,6,7}}=>0
[7,6,5,1,3,2,4]=>[5,6,7,3,2,4,1]=>{{1,2,3,4,5,6,7}}=>0
[7,6,5,1,3,4,2]=>[5,6,7,3,2,1,4]=>{{1,2,5,6},{3,4,7}}=>0
[7,6,5,1,4,2,3]=>[5,6,7,3,1,4,2]=>{{1,5},{2,3,4,6,7}}=>0
[7,6,5,1,4,3,2]=>[5,6,7,3,1,2,4]=>{{1,5},{2,6},{3,4,7}}=>0
[7,6,5,2,1,3,4]=>[5,6,7,2,4,3,1]=>{{1,2,3,4,5,6,7}}=>0
[7,6,5,2,1,4,3]=>[5,6,7,2,4,1,3]=>{{1,2,4,5,6},{3,7}}=>0
[7,6,5,2,3,1,4]=>[5,6,7,2,3,4,1]=>{{1,3,5,7},{2,4,6}}=>1
[7,6,5,2,3,4,1]=>[5,6,7,2,3,1,4]=>{{1,2,3,4,5,6,7}}=>0
[7,6,5,2,4,1,3]=>[5,6,7,2,1,4,3]=>{{1,5},{2,4,6},{3,7}}=>0
[7,6,5,2,4,3,1]=>[5,6,7,2,1,3,4]=>{{1,5},{2,3,4,6,7}}=>0
[7,6,5,3,1,2,4]=>[5,6,7,1,4,3,2]=>{{1,4,5},{2,3,6,7}}=>0
[7,6,5,3,1,4,2]=>[5,6,7,1,4,2,3]=>{{1,4,5},{2,6},{3,7}}=>0
[7,6,5,3,2,1,4]=>[5,6,7,1,3,4,2]=>{{1,2,3,4,5,6,7}}=>0
[7,6,5,3,2,4,1]=>[5,6,7,1,3,2,4]=>{{1,3,4,5,7},{2,6}}=>1
[7,6,5,3,4,1,2]=>[5,6,7,1,2,4,3]=>{{1,2,4,5,6},{3,7}}=>0
[7,6,5,3,4,2,1]=>[5,6,7,1,2,3,4]=>{{1,2,3,4,5,6,7}}=>0
[7,6,5,4,1,2,3]=>[4,5,6,7,3,2,1]=>{{1,4,7},{2,3,5,6}}=>1
[7,6,5,4,1,3,2]=>[4,5,6,7,3,1,2]=>{{1,2,3,4,5,6,7}}=>0
[7,6,5,4,2,1,3]=>[4,5,6,7,2,3,1]=>{{1,4,7},{2,5},{3,6}}=>2
[7,6,5,4,2,3,1]=>[4,5,6,7,2,1,3]=>{{1,3,4,6,7},{2,5}}=>2
[7,6,5,4,3,1,2]=>[4,5,6,7,1,3,2]=>{{1,2,4,5,7},{3,6}}=>1
[7,6,5,4,3,2,1]=>[4,5,6,7,1,2,3]=>{{1,2,3,4,5,6,7}}=>0
[8,7,6,5,4,3,2,1]=>[5,6,7,8,1,2,3,4]=>{{1,5},{2,6},{3,7},{4,8}}=>0
[7,6,8,5,4,3,2,1]=>[6,7,5,8,1,2,3,4]=>{{1,2,3,5,6,7},{4,8}}=>0
[8,6,5,7,4,3,2,1]=>[5,7,8,6,1,2,3,4]=>{{1,5},{2,3,4,6,7,8}}=>0
[7,6,5,8,4,3,2,1]=>[6,7,8,5,1,2,3,4]=>{{1,2,3,4,5,6,7,8}}=>0
[6,7,5,8,4,3,2,1]=>[7,6,8,5,1,2,3,4]=>{{1,3,4,5,7,8},{2,6}}=>2
[7,5,6,8,4,3,2,1]=>[6,8,7,5,1,2,3,4]=>{{1,2,4,5,6,8},{3,7}}=>1
[6,5,7,8,4,3,2,1]=>[7,8,6,5,1,2,3,4]=>{{1,2,3,4,5,6,7,8}}=>0
[8,7,6,4,5,3,2,1]=>[4,5,6,7,8,1,2,3]=>{{1,2,3,4,5,6,7,8}}=>0
[7,6,8,4,5,3,2,1]=>[5,6,4,7,8,1,2,3]=>{{1,2,3,4,5,6,7,8}}=>0
[6,7,8,4,5,3,2,1]=>[6,5,4,7,8,1,2,3]=>{{1,6},{2,3,4,5,7,8}}=>0
[8,6,4,5,7,3,2,1]=>[4,5,8,7,6,1,2,3]=>{{1,2,4,5,6,7},{3,8}}=>0
[7,8,6,5,3,4,2,1]=>[6,5,7,8,2,1,3,4]=>{{1,6},{2,5},{3,7},{4,8}}=>1
[8,6,7,5,3,4,2,1]=>[5,7,6,8,2,1,3,4]=>{{1,2,3,5,6,7},{4,8}}=>0
[8,5,6,7,3,4,2,1]=>[5,8,7,6,2,1,3,4]=>{{1,2,4,5,6,8},{3,7}}=>1
[7,6,5,8,3,4,2,1]=>[6,7,8,5,2,1,3,4]=>{{1,6},{2,3,4,5,7,8}}=>0
[6,7,5,8,3,4,2,1]=>[7,6,8,5,2,1,3,4]=>{{1,2,3,4,5,6,7,8}}=>0
[5,6,7,8,3,4,2,1]=>[8,7,6,5,2,1,3,4]=>{{1,2,3,4,5,6,7,8}}=>0
[7,8,6,4,3,5,2,1]=>[6,4,7,8,1,2,3,5]=>{{1,2,4,5,6,8},{3,7}}=>1
[7,6,8,4,3,5,2,1]=>[6,7,4,8,1,2,3,5]=>{{1,2,3,4,5,6,7,8}}=>0
[8,7,6,3,4,5,2,1]=>[6,7,8,1,2,3,4,5]=>{{1,2,3,4,5,6,7,8}}=>0
[6,7,8,3,4,5,2,1]=>[8,7,6,1,2,3,4,5]=>{{1,2,4,5,7,8},{3,6}}=>2
[8,7,4,5,3,6,2,1]=>[4,5,7,6,1,8,2,3]=>{{1,2,3,4,5,6,7,8}}=>0
[8,7,5,3,4,6,2,1]=>[5,6,7,1,2,8,3,4]=>{{1,2,4,5,6,8},{3,7}}=>1
[8,6,4,3,5,7,2,1]=>[4,5,6,1,8,7,2,3]=>{{1,4},{2,3,5,6,7,8}}=>0
[8,4,3,5,6,7,2,1]=>[3,4,8,5,6,7,1,2]=>{{1,2,3,4,5,6,7,8}}=>0
[7,6,5,3,4,8,2,1]=>[5,7,8,1,2,6,3,4]=>{{1,2,3,4,5,7,8},{6}}=>2
[7,6,3,4,5,8,2,1]=>[3,4,5,7,8,6,1,2]=>{{1,2,3,4,5,7,8},{6}}=>2
[8,6,7,5,4,2,3,1]=>[5,7,6,8,1,3,2,4]=>{{1,5},{2,7},{3,6},{4,8}}=>1
[8,7,5,6,4,2,3,1]=>[5,6,8,7,1,3,2,4]=>{{1,5},{2,3,4,6,7,8}}=>0
[8,5,6,7,4,2,3,1]=>[5,8,7,6,1,3,2,4]=>{{1,5},{2,3,4,6,7,8}}=>0
[7,6,5,8,4,2,3,1]=>[6,7,8,5,1,3,2,4]=>{{1,3,4,5,6,8},{2,7}}=>1
[6,7,5,8,4,2,3,1]=>[7,6,8,5,1,3,2,4]=>{{1,2,3,4,5,6,7,8}}=>0
[7,5,6,8,4,2,3,1]=>[6,8,7,5,1,3,2,4]=>{{1,2,3,4,5,6,7,8}}=>0
[8,7,5,4,6,2,3,1]=>[4,5,6,8,7,2,1,3]=>{{1,2,3,4,5,6,7,8}}=>0
[8,5,6,4,7,2,3,1]=>[4,7,5,8,6,2,1,3]=>{{1,2,3,4,5,6,7,8}}=>0
[8,4,5,6,7,2,3,1]=>[4,8,7,5,6,2,1,3]=>{{1,2,3,4,5,6,7,8}}=>0
[8,7,6,5,3,2,4,1]=>[5,6,7,8,2,3,1,4]=>{{1,2,3,5,6,7},{4,8}}=>0
[7,6,8,5,3,2,4,1]=>[6,7,5,8,2,3,1,4]=>{{1,2,3,5,6,7},{4,8}}=>0
[8,7,5,6,3,2,4,1]=>[5,6,8,7,2,3,1,4]=>{{1,2,3,4,5,6,7,8}}=>0
[8,5,6,7,3,2,4,1]=>[5,8,7,6,2,3,1,4]=>{{1,2,3,4,5,6,7,8}}=>0
[7,6,5,8,3,2,4,1]=>[6,7,8,5,2,3,1,4]=>{{1,2,3,4,5,6,7,8}}=>0
[6,7,5,8,3,2,4,1]=>[7,6,8,5,2,3,1,4]=>{{1,7},{2,3,4,5,6,8}}=>0
[5,6,7,8,3,2,4,1]=>[8,7,6,5,2,3,1,4]=>{{1,2,4,5,7,8},{3,6}}=>2
[8,6,7,5,2,3,4,1]=>[5,7,6,8,3,2,1,4]=>{{1,2,3,5,6,7},{4,8}}=>0
[6,7,8,5,2,3,4,1]=>[7,6,5,8,3,2,1,4]=>{{1,7},{2,6},{3,5},{4,8}}=>3
[8,7,5,6,2,3,4,1]=>[5,6,8,7,3,2,1,4]=>{{1,3,4,5,7,8},{2,6}}=>2
[7,8,5,6,2,3,4,1]=>[6,5,8,7,3,2,1,4]=>{{1,2,3,4,5,6,7,8}}=>0
[8,6,5,7,2,3,4,1]=>[5,7,8,6,3,2,1,4]=>{{1,2,3,4,5,6,7,8}}=>0
[6,5,7,8,2,3,4,1]=>[7,8,6,5,3,2,1,4]=>{{1,7},{2,3,4,5,6,8}}=>0
[5,6,7,8,2,3,4,1]=>[8,7,6,5,3,2,1,4]=>{{1,2,3,4,5,6,7,8}}=>0
[7,6,8,4,3,2,5,1]=>[6,7,4,8,1,3,2,5]=>{{1,3,4,5,6,8},{2,7}}=>1
[7,8,6,3,4,2,5,1]=>[7,6,8,1,2,4,3,5]=>{{1,2,3,4,5,6,7,8}}=>0
[6,7,8,3,4,2,5,1]=>[8,7,6,1,2,4,3,5]=>{{1,2,3,4,5,6,7,8}}=>0
[8,7,6,4,2,3,5,1]=>[4,6,7,8,2,3,1,5]=>{{1,2,3,4,5,6,7,8}}=>0
[8,6,7,4,2,3,5,1]=>[4,7,6,8,2,3,1,5]=>{{1,2,4,5,7,8},{3,6}}=>2
[7,6,8,4,2,3,5,1]=>[6,7,4,8,2,3,1,5]=>{{1,2,3,4,5,6,7,8}}=>0
[6,7,8,4,2,3,5,1]=>[7,6,4,8,2,3,1,5]=>{{1,7},{2,3,4,5,6,8}}=>0
[6,7,8,3,2,4,5,1]=>[8,7,6,1,3,4,2,5]=>{{1,3,4,5,6,8},{2,7}}=>1
[8,6,7,2,3,4,5,1]=>[6,8,7,2,3,4,1,5]=>{{1,2,3,4,5,6,7,8}}=>0
[6,7,8,2,3,4,5,1]=>[8,7,6,2,3,4,1,5]=>{{1,2,3,4,5,6,7,8}}=>0
[8,7,5,4,3,2,6,1]=>[4,5,7,8,1,2,3,6]=>{{1,2,4,5,6,8},{3,7}}=>1
[8,7,5,3,2,4,6,1]=>[5,7,8,1,3,2,4,6]=>{{1,2,3,4,5,6,7,8}}=>0
[7,8,3,4,2,5,6,1]=>[4,3,7,8,1,2,5,6]=>{{1,2,3,4,5,6,7,8}}=>0
[7,8,3,2,4,5,6,1]=>[7,3,8,1,2,4,5,6]=>{{1,2,3,4,5,6,7,8}}=>0
[7,8,2,3,4,5,6,1]=>[8,7,1,2,3,4,5,6]=>{{1,2,3,4,5,6,7,8}}=>0
[8,6,5,4,3,2,7,1]=>[4,5,6,7,1,2,8,3]=>{{1,2,3,4,5,6,7,8}}=>0
[8,5,6,4,3,2,7,1]=>[4,6,5,7,1,2,8,3]=>{{1,3,4,5,7,8},{2,6}}=>2
[8,6,5,3,4,2,7,1]=>[5,6,7,1,2,3,8,4]=>{{1,2,3,4,5,6,7,8}}=>0
[8,5,6,3,4,2,7,1]=>[5,7,6,1,2,3,8,4]=>{{1,2,4,5,7,8},{3,6}}=>2
[8,6,4,3,5,2,7,1]=>[4,5,6,1,7,2,8,3]=>{{1,4},{2,3,5,6,7,8}}=>0
[8,6,3,4,5,2,7,1]=>[3,4,5,6,7,1,8,2]=>{{1,2,3,4,5,6,7,8}}=>0
[8,4,5,3,6,2,7,1]=>[4,7,5,1,6,2,8,3]=>{{1,4},{2,3,5,6,7,8}}=>0
[8,4,3,5,6,2,7,1]=>[3,4,7,5,6,1,8,2]=>{{1,2,3,4,5,6,7,8}}=>0
[8,6,5,4,2,3,7,1]=>[4,5,6,7,2,1,8,3]=>{{1,3,4,6,7,8},{2,5}}=>3
[8,5,6,4,2,3,7,1]=>[4,6,5,7,2,1,8,3]=>{{1,2,3,4,5,6,7,8}}=>0
[8,6,4,3,2,5,7,1]=>[4,6,7,1,2,3,8,5]=>{{1,4},{2,3,5,6,7,8}}=>0
[8,6,2,3,4,5,7,1]=>[6,7,1,2,3,4,8,5]=>{{1,2,3,4,5,6,7,8}}=>0
[8,4,5,2,3,6,7,1]=>[4,6,5,2,1,7,8,3]=>{{1,2,3,4,5,6,7,8}}=>0
[8,4,3,2,5,6,7,1]=>[3,4,5,1,6,7,8,2]=>{{1,2,3,4,5,6,7,8}}=>0
[8,4,2,3,5,6,7,1]=>[4,5,1,2,6,7,8,3]=>{{1,2,3,4,5,6,7,8}}=>0
[8,3,2,4,5,6,7,1]=>[3,4,1,5,6,7,8,2]=>{{1,3},{2,4,5,6,7,8}}=>0
[8,2,3,4,5,6,7,1]=>[2,3,4,5,6,7,8,1]=>{{1,2,3,4,5,6,7,8}}=>0
[7,6,5,4,3,2,8,1]=>[4,5,6,8,1,2,7,3]=>{{1,2,3,4,5,6,8},{7}}=>1
[7,6,5,3,4,2,8,1]=>[5,6,8,1,2,3,7,4]=>{{1,2,3,4,5,6,8},{7}}=>1
[6,5,7,3,4,2,8,1]=>[6,8,5,1,2,3,7,4]=>{{1,2,3,4,5,6,8},{7}}=>1
[7,6,3,4,5,2,8,1]=>[3,4,5,6,8,1,7,2]=>{{1,2,3,4,5,6,8},{7}}=>1
[6,7,5,4,2,3,8,1]=>[5,4,6,8,2,1,7,3]=>{{1,2,3,4,5,6,8},{7}}=>1
[6,7,5,3,2,4,8,1]=>[6,5,8,1,3,2,7,4]=>{{1,2,3,4,5,6,8},{7}}=>1
[7,6,5,2,3,4,8,1]=>[5,6,8,2,3,1,7,4]=>{{1,2,3,4,5,6,8},{7}}=>1
[6,7,4,3,2,5,8,1]=>[6,4,8,1,2,3,7,5]=>{{1,2,3,4,5,6,8},{7}}=>1
[7,6,3,2,4,5,8,1]=>[3,6,8,1,2,4,7,5]=>{{1,2,3,4,5,6,8},{7}}=>1
[7,6,2,3,4,5,8,1]=>[6,8,1,2,3,4,7,5]=>{{1,2,3,4,5,6,8},{7}}=>1
[7,4,3,2,5,6,8,1]=>[3,4,5,1,6,8,7,2]=>{{1,2,3,4,5,6,8},{7}}=>1
[7,4,2,3,5,6,8,1]=>[4,5,1,2,6,8,7,3]=>{{1,2,3,4,5,6,8},{7}}=>1
[7,2,3,4,5,6,8,1]=>[2,3,4,5,6,8,7,1]=>{{1,2,3,4,5,6,8},{7}}=>1
[8,6,7,5,4,3,1,2]=>[5,7,6,8,1,2,4,3]=>{{1,5},{2,3,4,6,7,8}}=>0
[7,6,8,5,4,3,1,2]=>[6,7,5,8,1,2,4,3]=>{{1,2,3,4,5,6,7,8}}=>0
[6,7,8,5,4,3,1,2]=>[7,6,5,8,1,2,4,3]=>{{1,3,4,5,7,8},{2,6}}=>2
[8,7,5,6,4,3,1,2]=>[5,6,8,7,1,2,4,3]=>{{1,5},{2,6},{3,8},{4,7}}=>1
[7,6,5,8,4,3,1,2]=>[6,7,8,5,1,2,4,3]=>{{1,2,4,5,6,7},{3,8}}=>0
[7,5,6,8,4,3,1,2]=>[6,8,7,5,1,2,4,3]=>{{1,2,3,4,5,6,7,8}}=>0
[5,6,7,8,4,3,1,2]=>[8,7,6,5,1,2,4,3]=>{{1,2,3,4,5,6,7,8}}=>0
[7,8,6,4,5,3,1,2]=>[5,4,6,7,8,1,3,2]=>{{1,2,3,4,5,6,7,8}}=>0
[8,6,7,4,5,3,1,2]=>[4,6,5,7,8,1,3,2]=>{{1,2,3,4,5,6,7,8}}=>0
[8,5,6,4,7,3,1,2]=>[4,7,5,8,6,1,3,2]=>{{1,2,3,4,5,6,7,8}}=>0
[8,6,4,5,7,3,1,2]=>[4,5,8,7,6,1,3,2]=>{{1,2,3,4,5,6,7,8}}=>0
[7,5,6,4,8,3,1,2]=>[4,7,6,8,5,1,3,2]=>{{1,2,3,4,6,7,8},{5}}=>3
[7,6,8,5,3,4,1,2]=>[6,7,5,8,2,1,4,3]=>{{1,6},{2,3,4,5,7,8}}=>0
[6,7,8,5,3,4,1,2]=>[7,6,5,8,2,1,4,3]=>{{1,2,3,4,5,6,7,8}}=>0
[7,8,5,6,3,4,1,2]=>[6,5,8,7,2,1,4,3]=>{{1,6},{2,5},{3,8},{4,7}}=>2
[8,6,5,7,3,4,1,2]=>[5,7,8,6,2,1,4,3]=>{{1,2,4,5,6,7},{3,8}}=>0
[8,5,6,7,3,4,1,2]=>[5,8,7,6,2,1,4,3]=>{{1,2,3,4,5,6,7,8}}=>0
[6,7,5,8,3,4,1,2]=>[7,6,8,5,2,1,4,3]=>{{1,2,4,5,6,7},{3,8}}=>0
[7,5,6,8,3,4,1,2]=>[6,8,7,5,2,1,4,3]=>{{1,6},{2,3,4,5,7,8}}=>0
[6,5,7,8,3,4,1,2]=>[7,8,6,5,2,1,4,3]=>{{1,2,3,4,5,6,7,8}}=>0
[7,8,6,3,4,5,1,2]=>[7,6,8,1,2,3,5,4]=>{{1,2,3,4,5,6,7,8}}=>0
[7,8,5,4,3,6,1,2]=>[5,4,6,7,1,8,3,2]=>{{1,5},{2,3,4,6,7,8}}=>0
[8,7,4,5,3,6,1,2]=>[4,5,7,6,1,8,3,2]=>{{1,2,4,5,6,8},{3,7}}=>1
[8,7,4,3,5,6,1,2]=>[4,5,6,1,7,8,3,2]=>{{1,4},{2,3,5,6,7,8}}=>0
[7,8,4,3,5,6,1,2]=>[5,4,6,1,7,8,3,2]=>{{1,2,3,4,5,6,7,8}}=>0
[8,7,3,4,5,6,1,2]=>[3,4,5,6,7,8,2,1]=>{{1,2,3,4,5,6,7,8}}=>0
[8,5,4,3,6,7,1,2]=>[4,5,8,1,6,7,3,2]=>{{1,4},{2,3,5,6,7,8}}=>0
[8,5,3,4,6,7,1,2]=>[3,4,5,8,6,7,2,1]=>{{1,2,3,4,5,6,7,8}}=>0
[8,3,4,5,6,7,1,2]=>[3,8,4,5,6,7,2,1]=>{{1,2,3,4,5,6,7,8}}=>0
[7,5,6,4,3,8,1,2]=>[4,7,5,8,1,6,3,2]=>{{1,2,3,4,5,7,8},{6}}=>2
[5,6,7,4,3,8,1,2]=>[7,5,4,8,1,6,3,2]=>{{1,2,3,4,5,7,8},{6}}=>2
[7,5,6,3,4,8,1,2]=>[5,8,7,1,2,6,4,3]=>{{1,2,3,4,5,7,8},{6}}=>2
[5,6,7,3,4,8,1,2]=>[8,7,5,1,2,6,4,3]=>{{1,2,3,4,5,7,8},{6}}=>2
[7,5,3,4,6,8,1,2]=>[3,4,5,8,7,6,2,1]=>{{1,2,3,4,5,7,8},{6}}=>2
[8,7,6,5,4,2,1,3]=>[5,6,7,8,1,3,4,2]=>{{1,5},{2,3,4,6,7,8}}=>0
[7,8,6,5,4,2,1,3]=>[6,5,7,8,1,3,4,2]=>{{1,2,3,4,5,6,7,8}}=>0
[6,7,8,5,4,2,1,3]=>[7,6,5,8,1,3,4,2]=>{{1,2,3,4,5,6,7,8}}=>0
[7,8,5,6,4,2,1,3]=>[6,5,8,7,1,3,4,2]=>{{1,2,3,5,6,8},{4,7}}=>1
[8,6,5,7,4,2,1,3]=>[5,7,8,6,1,3,4,2]=>{{1,5},{2,3,4,6,7,8}}=>0
[7,5,6,8,4,2,1,3]=>[6,8,7,5,1,3,4,2]=>{{1,3,4,5,6,7},{2,8}}=>0
[5,6,7,8,4,2,1,3]=>[8,7,6,5,1,3,4,2]=>{{1,2,4,5,7,8},{3,6}}=>2
[8,7,6,4,5,2,1,3]=>[4,5,6,7,8,2,3,1]=>{{1,2,3,4,5,6,7,8}}=>0
[8,7,4,5,6,2,1,3]=>[4,5,8,6,7,2,3,1]=>{{1,2,3,4,5,6,7,8}}=>0
[7,8,6,5,4,1,2,3]=>[6,5,7,8,1,4,3,2]=>{{1,2,4,5,6,8},{3,7}}=>1
[7,6,8,5,4,1,2,3]=>[6,7,5,8,1,4,3,2]=>{{1,2,3,4,5,6,7,8}}=>0
[7,8,5,6,4,1,2,3]=>[6,5,8,7,1,4,3,2]=>{{1,2,3,4,5,6,7,8}}=>0
[8,5,6,7,4,1,2,3]=>[5,8,7,6,1,4,3,2]=>{{1,5},{2,8},{3,7},{4,6}}=>3
[6,7,5,8,4,1,2,3]=>[7,6,8,5,1,4,3,2]=>{{1,2,3,4,5,6,7,8}}=>0
[6,5,7,8,4,1,2,3]=>[7,8,6,5,1,4,3,2]=>{{1,3,4,5,6,7},{2,8}}=>0
[5,6,7,8,4,1,2,3]=>[8,7,6,5,1,4,3,2]=>{{1,2,3,4,5,6,7,8}}=>0
[8,7,6,4,5,1,2,3]=>[4,5,6,7,8,3,2,1]=>{{1,2,4,5,7,8},{3,6}}=>2
[8,6,7,4,5,1,2,3]=>[4,6,5,7,8,3,2,1]=>{{1,2,3,4,5,6,7,8}}=>0
[6,7,8,4,5,1,2,3]=>[6,5,4,7,8,3,2,1]=>{{1,2,3,4,5,6,7,8}}=>0
[8,6,4,5,7,1,2,3]=>[4,5,8,7,6,3,2,1]=>{{1,2,3,4,5,6,7,8}}=>0
[8,5,4,6,7,1,2,3]=>[4,7,8,5,6,3,2,1]=>{{1,3,4,5,6,8},{2,7}}=>1
[8,4,5,6,7,1,2,3]=>[4,8,7,5,6,3,2,1]=>{{1,2,3,4,5,6,7,8}}=>0
[6,7,5,4,8,1,2,3]=>[6,4,7,8,5,3,2,1]=>{{1,2,3,4,6,7,8},{5}}=>3
[5,6,7,4,8,1,2,3]=>[7,6,4,8,5,3,2,1]=>{{1,2,3,4,6,7,8},{5}}=>3
[7,6,4,5,8,1,2,3]=>[4,6,8,7,5,3,2,1]=>{{1,2,3,4,6,7,8},{5}}=>3
[7,4,5,6,8,1,2,3]=>[4,8,7,6,5,3,2,1]=>{{1,2,3,4,6,7,8},{5}}=>3
[8,7,6,5,3,2,1,4]=>[5,6,7,8,2,3,4,1]=>{{1,2,3,4,5,6,7,8}}=>0
[7,8,6,5,3,2,1,4]=>[6,5,7,8,2,3,4,1]=>{{1,3,4,6,7,8},{2,5}}=>3
[8,6,7,5,3,2,1,4]=>[5,7,6,8,2,3,4,1]=>{{1,2,4,5,7,8},{3,6}}=>2
[7,6,8,5,3,2,1,4]=>[6,7,5,8,2,3,4,1]=>{{1,2,3,4,5,6,7,8}}=>0
[8,6,5,7,3,2,1,4]=>[5,7,8,6,2,3,4,1]=>{{1,2,3,4,5,6,7,8}}=>0
[6,7,5,8,3,2,1,4]=>[7,6,8,5,2,3,4,1]=>{{1,2,3,4,5,6,7,8}}=>0
[8,7,6,5,2,3,1,4]=>[5,6,7,8,3,2,4,1]=>{{1,3,4,5,7,8},{2,6}}=>2
[8,6,7,5,2,3,1,4]=>[5,7,6,8,3,2,4,1]=>{{1,2,3,4,5,6,7,8}}=>0
[7,6,8,5,2,3,1,4]=>[6,7,5,8,3,2,4,1]=>{{1,2,4,6,7,8},{3,5}}=>3
[7,8,5,6,2,3,1,4]=>[6,5,8,7,3,2,4,1]=>{{1,2,3,5,6,8},{4,7}}=>1
[8,5,6,7,2,3,1,4]=>[5,8,7,6,3,2,4,1]=>{{1,2,3,4,5,6,7,8}}=>0
[7,6,5,8,2,3,1,4]=>[6,7,8,5,3,2,4,1]=>{{1,2,3,4,5,6,7,8}}=>0
[6,7,5,8,2,3,1,4]=>[7,6,8,5,3,2,4,1]=>{{1,3,4,5,7,8},{2,6}}=>2
[6,5,7,8,2,3,1,4]=>[7,8,6,5,3,2,4,1]=>{{1,2,3,4,5,6,7,8}}=>0
[5,6,7,8,2,3,1,4]=>[8,7,6,5,3,2,4,1]=>{{1,8},{2,3,4,5,6,7}}=>1
[8,7,6,5,3,1,2,4]=>[5,6,7,8,2,4,3,1]=>{{1,2,4,5,6,8},{3,7}}=>1
[8,7,5,6,3,1,2,4]=>[5,6,8,7,2,4,3,1]=>{{1,2,3,4,5,6,7,8}}=>0
[7,8,5,6,3,1,2,4]=>[6,5,8,7,2,4,3,1]=>{{1,3,4,6,7,8},{2,5}}=>3
[6,5,7,8,3,1,2,4]=>[7,8,6,5,2,4,3,1]=>{{1,2,3,4,5,6,7,8}}=>0
[5,6,7,8,3,1,2,4]=>[8,7,6,5,2,4,3,1]=>{{1,8},{2,3,4,5,6,7}}=>1
[8,7,6,5,2,1,3,4]=>[5,6,7,8,3,4,2,1]=>{{1,2,3,4,5,6,7,8}}=>0
[6,7,8,5,2,1,3,4]=>[7,6,5,8,3,4,2,1]=>{{1,2,4,6,7,8},{3,5}}=>3
[7,8,5,6,2,1,3,4]=>[6,5,8,7,3,4,2,1]=>{{1,2,3,4,5,6,7,8}}=>0
[8,5,6,7,2,1,3,4]=>[5,8,7,6,3,4,2,1]=>{{1,2,3,5,7,8},{4,6}}=>2
[6,7,5,8,2,1,3,4]=>[7,6,8,5,3,4,2,1]=>{{1,2,3,4,5,6,7,8}}=>0
[7,5,6,8,2,1,3,4]=>[6,8,7,5,3,4,2,1]=>{{1,2,3,4,5,6,7,8}}=>0
[7,8,6,5,1,2,3,4]=>[6,5,7,8,4,3,2,1]=>{{1,2,3,4,5,6,7,8}}=>0
[7,6,8,5,1,2,3,4]=>[6,7,5,8,4,3,2,1]=>{{1,3,4,5,6,8},{2,7}}=>1
[6,7,8,5,1,2,3,4]=>[7,6,5,8,4,3,2,1]=>{{1,2,3,4,5,6,7,8}}=>0
[8,7,5,6,1,2,3,4]=>[5,6,8,7,4,3,2,1]=>{{1,2,3,4,5,6,7,8}}=>0
[8,6,5,7,1,2,3,4]=>[5,7,8,6,4,3,2,1]=>{{1,3,4,5,6,8},{2,7}}=>1
[8,5,6,7,1,2,3,4]=>[5,8,7,6,4,3,2,1]=>{{1,2,3,4,5,6,7,8}}=>0
[6,7,5,8,1,2,3,4]=>[7,6,8,5,4,3,2,1]=>{{1,2,3,6,7,8},{4,5}}=>3
[7,5,6,8,1,2,3,4]=>[6,8,7,5,4,3,2,1]=>{{1,2,3,6,7,8},{4,5}}=>3
[5,6,7,8,1,2,3,4]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>6
[8,7,6,4,3,2,1,5]=>[4,6,7,8,1,3,5,2]=>{{1,2,3,4,5,6,7,8}}=>0
[7,6,8,4,3,2,1,5]=>[6,7,4,8,1,3,5,2]=>{{1,2,3,4,5,6,7,8}}=>0
[6,7,8,4,2,3,1,5]=>[7,6,4,8,2,3,5,1]=>{{1,2,3,4,5,6,7,8}}=>0
[6,7,8,3,2,4,1,5]=>[8,7,6,1,3,4,5,2]=>{{1,2,3,4,5,6,7,8}}=>0
[8,7,6,2,3,4,1,5]=>[6,7,8,2,3,4,5,1]=>{{1,2,3,4,5,6,7,8}}=>0
[7,6,8,2,3,4,1,5]=>[7,8,6,2,3,4,5,1]=>{{1,2,3,4,5,6,7,8}}=>0
[6,7,8,2,3,4,1,5]=>[8,7,6,2,3,4,5,1]=>{{1,8},{2,3,4,5,6,7}}=>1
[8,7,6,4,3,1,2,5]=>[4,6,7,8,1,5,3,2]=>{{1,2,4,5,6,8},{3,7}}=>1
[6,7,8,4,3,1,2,5]=>[7,6,4,8,1,5,3,2]=>{{1,2,3,4,5,6,7,8}}=>0
[8,7,6,3,4,1,2,5]=>[6,7,8,1,2,5,4,3]=>{{1,2,4,5,6,7},{3,8}}=>0
[6,7,8,3,4,1,2,5]=>[8,7,6,1,2,5,4,3]=>{{1,2,3,4,5,6,7,8}}=>0
[7,8,6,4,2,1,3,5]=>[6,4,7,8,2,5,3,1]=>{{1,2,4,5,6,8},{3,7}}=>1
[7,6,8,4,1,2,3,5]=>[6,7,4,8,3,5,2,1]=>{{1,3,4,5,6,8},{2,7}}=>1
[6,7,8,4,1,2,3,5]=>[7,6,4,8,3,5,2,1]=>{{1,2,3,4,5,6,7,8}}=>0
[8,7,6,3,2,1,4,5]=>[6,7,8,1,3,5,4,2]=>{{1,2,3,4,5,6,7,8}}=>0
[8,6,7,3,2,1,4,5]=>[6,8,7,1,3,5,4,2]=>{{1,3,4,5,6,7},{2,8}}=>0
[8,6,7,2,3,1,4,5]=>[6,8,7,2,3,5,4,1]=>{{1,2,3,4,5,6,7,8}}=>0
[7,8,6,3,1,2,4,5]=>[7,6,8,1,4,5,3,2]=>{{1,2,3,4,5,6,7,8}}=>0
[7,6,8,3,1,2,4,5]=>[7,8,6,1,4,5,3,2]=>{{1,3,4,5,6,7},{2,8}}=>0
[6,7,8,3,1,2,4,5]=>[8,7,6,1,4,5,3,2]=>{{1,2,3,4,5,6,7,8}}=>0
[8,7,6,2,1,3,4,5]=>[6,7,8,2,4,5,3,1]=>{{1,2,3,4,5,6,7,8}}=>0
[8,6,7,2,1,3,4,5]=>[6,8,7,2,4,5,3,1]=>{{1,2,4,5,6,8},{3,7}}=>1
[8,7,6,1,2,3,4,5]=>[6,7,8,3,4,5,2,1]=>{{1,3,4,5,6,8},{2,7}}=>1
[7,8,6,1,2,3,4,5]=>[7,6,8,3,4,5,2,1]=>{{1,2,3,4,5,6,7,8}}=>0
[8,6,7,1,2,3,4,5]=>[6,8,7,3,4,5,2,1]=>{{1,2,3,4,5,6,7,8}}=>0
[8,7,4,5,3,2,1,6]=>[4,5,8,7,1,2,6,3]=>{{1,2,4,5,6,7},{3,8}}=>0
[8,7,3,4,5,2,1,6]=>[3,4,5,7,8,1,6,2]=>{{1,2,3,4,5,6,7,8}}=>0
[8,7,4,3,2,5,1,6]=>[4,7,8,1,2,3,6,5]=>{{1,4},{2,3,5,6,7,8}}=>0
[8,7,3,4,2,5,1,6]=>[3,4,7,8,1,2,6,5]=>{{1,2,3,4,5,6,7,8}}=>0
[8,7,2,3,4,5,1,6]=>[7,8,1,2,3,4,6,5]=>{{1,2,3,4,5,6,7,8}}=>0
[8,7,5,3,4,1,2,6]=>[5,7,8,1,2,4,6,3]=>{{1,2,4,5,6,7},{3,8}}=>0
[7,8,3,4,5,1,2,6]=>[4,3,5,7,8,2,6,1]=>{{1,2,3,4,5,6,7,8}}=>0
[7,8,5,4,1,2,3,6]=>[5,4,7,8,3,2,6,1]=>{{1,2,3,4,5,6,7,8}}=>0
[8,7,5,3,2,1,4,6]=>[5,7,8,1,3,4,6,2]=>{{1,2,3,4,5,6,7,8}}=>0
[8,7,5,2,1,3,4,6]=>[5,7,8,2,4,3,6,1]=>{{1,2,3,4,5,6,7,8}}=>0
[7,8,5,1,2,3,4,6]=>[7,5,8,3,4,2,6,1]=>{{1,2,3,4,5,6,7,8}}=>0
[7,8,4,3,2,1,5,6]=>[7,4,8,1,2,5,6,3]=>{{1,2,4,5,6,7},{3,8}}=>0
[8,7,3,4,1,2,5,6]=>[3,4,7,8,2,5,6,1]=>{{1,2,3,4,5,6,7,8}}=>0
[7,8,4,2,1,3,5,6]=>[7,4,8,2,3,5,6,1]=>{{1,3,5,6,7,8},{2,4}}=>4
[7,8,4,1,2,3,5,6]=>[7,4,8,3,2,5,6,1]=>{{1,2,3,4,5,6,7,8}}=>0
[8,7,2,3,1,4,5,6]=>[7,8,1,2,4,5,6,3]=>{{1,2,3,4,5,6,7,8}}=>0
[7,8,3,1,2,4,5,6]=>[7,3,8,2,4,5,6,1]=>{{1,2,3,4,5,6,7,8}}=>0
[8,7,2,1,3,4,5,6]=>[7,8,1,3,4,5,6,2]=>{{1,3,4,5,6,7},{2,8}}=>0
[7,8,2,1,3,4,5,6]=>[8,7,1,3,4,5,6,2]=>{{1,2,3,4,5,6,7,8}}=>0
[8,7,1,2,3,4,5,6]=>[7,8,2,3,4,5,6,1]=>{{1,2,3,4,5,6,7,8}}=>0
[7,8,1,2,3,4,5,6]=>[8,7,2,3,4,5,6,1]=>{{1,8},{2,3,4,5,6,7}}=>1
[8,6,5,4,3,2,1,7]=>[4,5,6,8,1,2,3,7]=>{{1,2,3,4,5,6,7,8}}=>0
[8,6,5,3,4,2,1,7]=>[5,6,8,1,2,3,4,7]=>{{1,2,3,4,5,6,7,8}}=>0
[8,5,6,3,4,2,1,7]=>[5,8,6,1,2,3,4,7]=>{{1,2,4,5,7,8},{3,6}}=>2
[8,6,4,3,5,2,1,7]=>[4,5,6,1,8,2,3,7]=>{{1,4},{2,3,5,6,7,8}}=>0
[8,4,5,3,6,2,1,7]=>[4,8,5,1,6,2,3,7]=>{{1,4},{2,3,5,6,7,8}}=>0
[8,4,3,5,6,2,1,7]=>[3,4,8,5,6,1,2,7]=>{{1,2,3,4,5,6,7,8}}=>0
[8,5,6,4,2,3,1,7]=>[4,6,5,8,2,1,3,7]=>{{1,2,3,4,5,6,7,8}}=>0
[8,6,5,3,2,4,1,7]=>[5,6,8,1,3,2,4,7]=>{{1,3,4,5,7,8},{2,6}}=>2
[8,6,5,2,3,4,1,7]=>[5,6,8,2,3,1,4,7]=>{{1,2,3,4,5,6,7,8}}=>0
[8,6,4,3,2,5,1,7]=>[4,6,8,1,2,3,5,7]=>{{1,4},{2,3,5,6,7,8}}=>0
[8,6,4,2,3,5,1,7]=>[4,6,8,2,1,3,5,7]=>{{1,2,3,4,5,6,7,8}}=>0
[8,6,3,2,4,5,1,7]=>[3,6,8,1,2,4,5,7]=>{{1,2,3,4,5,6,7,8}}=>0
[8,4,3,5,2,6,1,7]=>[3,4,6,5,1,8,2,7]=>{{1,2,3,4,5,6,7,8}}=>0
[8,4,5,2,3,6,1,7]=>[4,6,5,2,1,8,3,7]=>{{1,2,3,4,5,6,7,8}}=>0
[8,5,3,2,4,6,1,7]=>[3,5,6,1,2,8,4,7]=>{{1,3,4,6,7,8},{2,5}}=>3
[8,3,2,4,5,6,1,7]=>[3,4,1,5,6,8,2,7]=>{{1,3},{2,4,5,6,7,8}}=>0
[8,2,3,4,5,6,1,7]=>[2,3,4,5,6,8,1,7]=>{{1,2,3,4,5,6,7,8}}=>0
[8,6,5,4,3,1,2,7]=>[4,5,6,8,1,3,2,7]=>{{1,2,4,5,7,8},{3,6}}=>2
[8,5,6,3,4,1,2,7]=>[5,8,6,1,2,4,3,7]=>{{1,2,3,4,5,6,7,8}}=>0
[8,5,4,3,6,1,2,7]=>[4,5,8,1,6,3,2,7]=>{{1,4},{2,3,5,6,7,8}}=>0
[8,5,3,4,6,1,2,7]=>[3,4,5,8,6,2,1,7]=>{{1,2,3,4,5,6,7,8}}=>0
[8,3,4,5,6,1,2,7]=>[3,8,4,5,6,2,1,7]=>{{1,2,3,4,5,6,7,8}}=>0
[8,6,4,5,1,2,3,7]=>[4,5,8,6,3,2,1,7]=>{{1,2,3,4,5,6,7,8}}=>0
[8,4,5,6,1,2,3,7]=>[4,8,6,5,3,2,1,7]=>{{1,2,3,4,5,6,7,8}}=>0
[8,5,6,2,3,1,4,7]=>[5,8,6,2,3,4,1,7]=>{{1,2,3,4,5,6,7,8}}=>0
[8,6,5,1,2,3,4,7]=>[5,6,8,3,4,2,1,7]=>{{1,3,4,5,7,8},{2,6}}=>2
[8,5,6,1,2,3,4,7]=>[5,8,6,3,4,2,1,7]=>{{1,2,3,4,5,6,7,8}}=>0
[8,6,4,3,1,2,5,7]=>[4,6,8,1,3,5,2,7]=>{{1,4},{2,3,5,6,7,8}}=>0
[8,6,4,2,1,3,5,7]=>[4,6,8,2,3,5,1,7]=>{{1,2,3,4,5,6,7,8}}=>0
[8,6,3,2,1,4,5,7]=>[3,6,8,1,4,5,2,7]=>{{1,2,3,4,5,6,7,8}}=>0
[8,4,5,3,2,1,6,7]=>[4,8,5,1,2,3,6,7]=>{{1,4},{2,3,5,6,7,8}}=>0
[8,4,5,2,3,1,6,7]=>[4,8,5,2,1,3,6,7]=>{{1,2,3,4,5,6,7,8}}=>0
[8,2,3,4,5,1,6,7]=>[2,3,4,5,8,1,6,7]=>{{1,2,3,4,5,6,7,8}}=>0
[8,3,4,5,1,2,6,7]=>[3,8,4,5,2,1,6,7]=>{{1,2,3,4,5,6,7,8}}=>0
[8,5,4,2,1,3,6,7]=>[4,5,8,2,3,1,6,7]=>{{1,2,3,4,5,6,7,8}}=>0
[8,5,4,1,2,3,6,7]=>[4,5,8,3,2,1,6,7]=>{{1,3,4,6,7,8},{2,5}}=>3
[8,5,1,2,3,4,6,7]=>[5,8,2,3,4,1,6,7]=>{{1,2,3,4,5,6,7,8}}=>0
[8,4,3,2,1,5,6,7]=>[3,4,8,1,2,5,6,7]=>{{1,2,3,4,5,6,7,8}}=>0
[8,4,2,3,1,5,6,7]=>[4,8,1,2,3,5,6,7]=>{{1,2,3,4,5,6,7,8}}=>0
[8,2,3,4,1,5,6,7]=>[2,3,4,8,1,5,6,7]=>{{1,2,3,4,5,6,7,8}}=>0
[8,3,4,1,2,5,6,7]=>[3,8,4,2,1,5,6,7]=>{{1,2,3,4,5,6,7,8}}=>0
[8,4,1,2,3,5,6,7]=>[4,8,2,3,1,5,6,7]=>{{1,2,3,4,5,6,7,8}}=>0
[8,3,2,1,4,5,6,7]=>[3,8,1,2,4,5,6,7]=>{{1,3},{2,4,5,6,7,8}}=>0
[8,2,3,1,4,5,6,7]=>[2,3,8,1,4,5,6,7]=>{{1,2,3,4,5,6,7,8}}=>0
[8,3,1,2,4,5,6,7]=>[3,8,2,1,4,5,6,7]=>{{1,2,3,4,5,6,7,8}}=>0
[8,2,1,3,4,5,6,7]=>[2,8,1,3,4,5,6,7]=>{{1,2,3,4,5,6,7,8}}=>0
[8,1,2,3,4,5,6,7]=>[8,1,2,3,4,5,6,7]=>{{1,2,3,4,5,6,7,8}}=>0
[7,6,5,4,3,2,1,8]=>[4,5,6,7,1,2,3,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[7,6,5,3,4,2,1,8]=>[5,6,7,1,2,3,4,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[7,6,3,4,5,2,1,8]=>[3,4,5,6,7,1,2,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[6,7,5,4,2,3,1,8]=>[5,4,6,7,2,1,3,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[7,4,5,6,2,3,1,8]=>[4,7,6,5,2,1,3,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[4,5,6,7,2,3,1,8]=>[7,6,5,4,2,1,3,8]=>{{1,2,3,5,6,7},{4},{8}}=>3
[7,6,5,2,3,4,1,8]=>[5,6,7,2,3,1,4,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[6,7,4,3,2,5,1,8]=>[6,4,7,1,2,3,5,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[7,6,4,2,3,5,1,8]=>[4,6,7,2,1,3,5,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[7,6,3,2,4,5,1,8]=>[3,6,7,1,2,4,5,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[7,6,2,3,4,5,1,8]=>[6,7,1,2,3,4,5,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[7,4,5,2,3,6,1,8]=>[4,6,5,2,1,7,3,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[7,4,2,3,5,6,1,8]=>[4,5,1,2,6,7,3,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[7,2,3,4,5,6,1,8]=>[2,3,4,5,6,7,1,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[5,4,6,3,2,7,1,8]=>[5,7,4,1,2,6,3,8]=>{{1,2,3,4,5,7},{6},{8}}=>1
[5,6,3,4,2,7,1,8]=>[4,3,5,7,1,6,2,8]=>{{1,2,3,4,5,7},{6},{8}}=>1
[6,4,2,3,5,7,1,8]=>[4,5,1,2,7,6,3,8]=>{{1,2,3,4,5,7},{6},{8}}=>1
[6,2,3,4,5,7,1,8]=>[2,3,4,5,7,6,1,8]=>{{1,2,3,4,5,7},{6},{8}}=>1
[5,4,3,2,6,7,1,8]=>[3,4,7,1,5,6,2,8]=>{{1,2,3,4,7},{5},{6},{8}}=>2
[5,4,2,3,6,7,1,8]=>[4,7,1,2,5,6,3,8]=>{{1,2,3,4,7},{5},{6},{8}}=>2
[5,2,3,4,6,7,1,8]=>[2,3,4,7,5,6,1,8]=>{{1,2,3,4,7},{5},{6},{8}}=>2
[7,5,6,4,3,1,2,8]=>[4,6,5,7,1,3,2,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[4,5,6,7,3,1,2,8]=>[7,6,5,4,1,3,2,8]=>{{1,2,3,5,6,7},{4},{8}}=>3
[6,5,7,4,2,1,3,8]=>[5,6,4,7,2,3,1,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[7,5,4,6,2,1,3,8]=>[4,6,7,5,2,3,1,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[5,6,7,4,1,2,3,8]=>[6,5,4,7,3,2,1,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[7,6,4,5,1,2,3,8]=>[4,5,7,6,3,2,1,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[7,4,5,6,1,2,3,8]=>[4,7,6,5,3,2,1,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[5,6,4,7,1,2,3,8]=>[6,5,7,4,3,2,1,8]=>{{1,2,3,5,6,7},{4},{8}}=>3
[5,6,7,3,1,2,4,8]=>[7,6,5,1,4,3,2,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[7,6,5,2,1,3,4,8]=>[5,6,7,2,4,3,1,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[6,7,5,1,2,3,4,8]=>[6,5,7,3,4,2,1,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[7,5,6,1,2,3,4,8]=>[5,7,6,3,4,2,1,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[6,7,2,3,4,1,5,8]=>[7,6,1,2,3,5,4,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[7,6,2,3,1,4,5,8]=>[6,7,1,2,4,5,3,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[6,7,3,1,2,4,5,8]=>[6,3,7,2,4,5,1,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[7,6,1,2,3,4,5,8]=>[6,7,2,3,4,5,1,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[7,2,3,4,5,1,6,8]=>[2,3,4,5,7,1,6,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[7,5,3,2,1,4,6,8]=>[3,5,7,1,4,2,6,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[7,5,1,2,3,4,6,8]=>[5,7,2,3,4,1,6,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[7,2,3,4,1,5,6,8]=>[2,3,4,7,1,5,6,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[7,3,4,1,2,5,6,8]=>[3,7,4,2,1,5,6,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[7,2,3,1,4,5,6,8]=>[2,3,7,1,4,5,6,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[7,2,1,3,4,5,6,8]=>[2,7,1,3,4,5,6,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[7,1,2,3,4,5,6,8]=>[7,1,2,3,4,5,6,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[6,8,7,5,4,3,2,1]=>[7,5,6,8,1,2,3,4]=>{{1,2,3,5,6,7},{4,8}}=>0
[5,8,7,6,4,3,2,1]=>[8,5,6,7,1,2,3,4]=>{{1,2,3,4,5,6,7,8}}=>0
[5,7,8,6,4,3,2,1]=>[8,6,5,7,1,2,3,4]=>{{1,3,4,5,7,8},{2,6}}=>2
[5,6,8,7,4,3,2,1]=>[8,7,5,6,1,2,3,4]=>{{1,2,3,4,5,6,7,8}}=>0
[4,7,8,6,5,3,2,1]=>[7,5,4,6,8,1,2,3]=>{{1,2,3,4,5,6,7,8}}=>0
[4,5,8,7,6,3,2,1]=>[8,6,4,5,7,1,2,3]=>{{1,2,3,4,5,6,7,8}}=>0
[4,5,7,8,6,3,2,1]=>[8,6,5,4,7,1,2,3]=>{{1,2,3,5,6,7,8},{4}}=>4
[5,7,6,4,8,3,2,1]=>[7,4,6,8,5,1,2,3]=>{{1,2,3,4,6,7,8},{5}}=>3
[4,6,7,5,8,3,2,1]=>[8,6,4,7,5,1,2,3]=>{{1,2,3,4,6,7,8},{5}}=>3
[3,6,8,7,5,4,2,1]=>[7,5,3,6,8,1,2,4]=>{{1,2,4,5,6,7,8},{3}}=>5
[3,5,7,8,6,4,2,1]=>[8,6,3,5,7,1,2,4]=>{{1,2,4,5,6,7,8},{3}}=>5
[5,7,6,4,3,8,2,1]=>[7,4,5,8,1,6,2,3]=>{{1,2,3,4,5,7,8},{6}}=>2
[5,4,7,6,3,8,2,1]=>[7,8,4,5,1,6,2,3]=>{{1,2,3,4,5,7,8},{6}}=>2
[2,8,7,6,5,4,3,1]=>[5,2,6,7,8,1,3,4]=>{{1,3,4,5,6,7,8},{2}}=>6
[2,6,8,7,5,4,3,1]=>[7,2,5,6,8,1,3,4]=>{{1,3,4,5,6,7,8},{2}}=>6
[2,4,6,8,7,5,3,1]=>[8,2,6,4,7,1,3,5]=>{{1,3,5,6,7,8},{2},{4}}=>9
[2,5,4,8,7,6,3,1]=>[5,2,7,4,6,8,1,3]=>{{1,3,5,6,7,8},{2},{4}}=>9
[3,4,2,8,7,6,5,1]=>[6,3,1,4,7,8,2,5]=>{{1,2,3,5,6,7,8},{4}}=>4
[2,4,3,8,7,6,5,1]=>[3,2,6,4,7,8,1,5]=>{{1,3,5,6,7,8},{2},{4}}=>9
[4,6,5,3,2,8,7,1]=>[7,4,5,1,2,6,8,3]=>{{1,2,3,4,5,7,8},{6}}=>2
[5,4,6,3,2,8,7,1]=>[5,7,4,1,2,6,8,3]=>{{1,2,3,4,5,7,8},{6}}=>2
[4,6,7,5,3,2,8,1]=>[8,5,4,6,1,2,7,3]=>{{1,2,3,4,5,6,8},{7}}=>1
[1,8,7,6,5,4,3,2]=>[1,5,6,7,8,2,3,4]=>{{1},{2,3,4,5,6,7,8}}=>0
[1,5,7,6,8,4,3,2]=>[1,8,6,7,5,2,3,4]=>{{1},{2,3,4,6,7,8},{5}}=>3
[1,4,6,8,7,5,3,2]=>[1,8,6,4,7,2,3,5]=>{{1},{2,3,5,6,7,8},{4}}=>4
[1,6,5,4,8,7,3,2]=>[1,4,6,8,5,7,2,3]=>{{1},{2,3,4,6,7,8},{5}}=>3
[1,4,6,5,8,7,3,2]=>[1,8,4,6,5,7,2,3]=>{{1},{2,3,4,6,7,8},{5}}=>3
[1,3,6,8,7,5,4,2]=>[1,8,3,6,7,2,4,5]=>{{1},{2,4,5,6,7,8},{3}}=>5
[1,4,3,8,7,6,5,2]=>[1,3,6,4,7,8,2,5]=>{{1},{2,3,5,6,7,8},{4}}=>4
[1,4,5,3,7,8,6,2]=>[1,8,4,2,5,7,3,6]=>{{1},{2,3,4,6,7,8},{5}}=>3
[1,6,5,4,3,8,7,2]=>[1,4,5,7,2,6,8,3]=>{{1},{2,3,4,5,7,8},{6}}=>2
[1,4,6,5,3,8,7,2]=>[1,7,4,5,2,6,8,3]=>{{1},{2,3,4,5,7,8},{6}}=>2
[1,6,5,7,4,3,8,2]=>[1,6,8,5,2,3,7,4]=>{{1},{2,3,4,5,6,8},{7}}=>1
[2,1,8,7,6,5,4,3]=>[2,1,6,7,8,3,4,5]=>{{1,2},{3,6},{4,7},{5,8}}=>0
[2,1,6,8,7,5,4,3]=>[2,1,8,6,7,3,4,5]=>{{1,2},{3,4,5,6,7,8}}=>0
[2,1,7,6,8,5,4,3]=>[2,1,7,8,6,3,4,5]=>{{1,2},{3,4,5,6,7,8}}=>0
[1,2,7,6,8,5,4,3]=>[1,2,7,8,6,3,4,5]=>{{1},{2},{3,4,5,6,7,8}}=>0
[4,3,2,1,8,7,6,5]=>[3,4,1,2,7,8,5,6]=>{{1,3},{2,4},{5,7},{6,8}}=>0
[2,1,4,3,8,7,6,5]=>[2,1,4,3,7,8,5,6]=>{{1,2},{3,4},{5,7},{6,8}}=>0
[6,5,4,3,2,1,8,7]=>[4,5,6,1,2,3,8,7]=>{{1,4},{2,5},{3,6},{7,8}}=>0
[4,6,5,3,2,1,8,7]=>[6,4,5,1,2,3,8,7]=>{{1,2,3,4,5,6},{7,8}}=>0
[5,4,6,3,2,1,8,7]=>[5,6,4,1,2,3,8,7]=>{{1,2,3,4,5,6},{7,8}}=>0
[2,1,6,5,4,3,8,7]=>[2,1,5,6,3,4,8,7]=>{{1,2},{3,5},{4,6},{7,8}}=>0
[4,3,2,1,6,5,8,7]=>[3,4,1,2,6,5,8,7]=>{{1,3},{2,4},{5,6},{7,8}}=>0
[2,1,4,3,6,5,8,7]=>[2,1,4,3,6,5,8,7]=>{{1,2},{3,4},{5,6},{7,8}}=>0
[5,4,3,7,6,2,1,8]=>[3,5,7,4,6,1,2,8]=>{{1,2,3,5,6,7},{4},{8}}=>3
[3,4,2,6,7,5,1,8]=>[7,3,1,4,6,2,5,8]=>{{1,2,3,5,6,7},{4},{8}}=>3
[5,4,3,2,7,6,1,8]=>[3,4,6,1,5,7,2,8]=>{{1,2,3,4,6,7},{5},{8}}=>2
[3,5,4,2,6,7,1,8]=>[7,3,4,1,5,6,2,8]=>{{1,2,3,4,7},{5},{6},{8}}=>2
[1,2,8,4,5,6,7,3]=>[1,2,4,5,6,7,8,3]=>{{1},{2},{3,4,5,6,7,8}}=>0
[1,2,8,4,7,6,5,3]=>[1,2,4,6,7,8,3,5]=>{{1},{2},{3,4,5,6,7,8}}=>0
[1,2,8,6,5,4,7,3]=>[1,2,5,6,7,3,8,4]=>{{1},{2},{3,4,5,6,7,8}}=>0
[1,2,8,6,5,7,4,3]=>[1,2,5,6,8,7,3,4]=>{{1},{2},{3,4,5,6,7,8}}=>0
[1,3,8,4,5,6,7,2]=>[1,4,3,5,6,7,8,2]=>{{1},{2,4,5,6,7,8},{3}}=>5
[1,3,8,6,5,7,4,2]=>[1,5,3,6,8,7,2,4]=>{{1},{2,4,5,6,7,8},{3}}=>5
[1,5,3,4,8,6,7,2]=>[1,3,4,6,5,7,8,2]=>{{1},{2,3,4,6,7,8},{5}}=>3
[1,6,3,4,5,8,7,2]=>[1,3,4,5,7,6,8,2]=>{{1},{2,3,4,5,7,8},{6}}=>2
[1,7,3,4,5,6,2,8]=>[1,3,4,5,6,7,2,8]=>{{1},{2,3,4,5,6,7},{8}}=>0
[1,7,3,4,5,6,8,2]=>[1,3,4,5,6,8,7,2]=>{{1},{2,3,4,5,6,8},{7}}=>1
[1,8,3,4,5,6,7,2]=>[1,3,4,5,6,7,8,2]=>{{1},{2,3,4,5,6,7,8}}=>0
[1,7,3,6,5,4,2,8]=>[1,3,5,6,7,2,4,8]=>{{1},{2,3,4,5,6,7},{8}}=>0
[1,7,4,6,5,3,2,8]=>[1,4,6,5,7,2,3,8]=>{{1},{2,3,4,5,6,7},{8}}=>0
[1,7,5,4,3,6,2,8]=>[1,4,5,6,2,7,3,8]=>{{1},{2,3,4,5,6,7},{8}}=>0
[1,8,5,4,3,6,7,2]=>[1,4,5,6,2,7,8,3]=>{{1},{2,3,4,5,6,7,8}}=>0
[1,8,5,4,6,3,7,2]=>[1,4,5,7,6,2,8,3]=>{{1},{2,3,4,5,6,7,8}}=>0
[1,8,7,4,5,6,3,2]=>[1,4,5,6,7,8,2,3]=>{{1},{2,3,4,5,6,7,8}}=>0
[2,1,8,4,5,6,7,3]=>[2,1,4,5,6,7,8,3]=>{{1,2},{3,4,5,6,7,8}}=>0
[2,1,8,4,7,6,5,3]=>[2,1,4,6,7,8,3,5]=>{{1,2},{3,4,5,6,7,8}}=>0
[2,1,8,5,4,7,6,3]=>[2,1,5,7,3,8,4,6]=>{{1,2},{3,5},{4,7},{6,8}}=>0
[2,1,8,6,5,4,7,3]=>[2,1,5,6,7,3,8,4]=>{{1,2},{3,4,5,6,7,8}}=>0
[2,1,8,6,5,7,4,3]=>[2,1,5,6,8,7,3,4]=>{{1,2},{3,4,5,6,7,8}}=>0
[2,3,8,4,5,6,7,1]=>[4,2,3,5,6,7,8,1]=>{{1,4,5,6,7,8},{2},{3}}=>10
[2,3,8,6,5,4,7,1]=>[5,2,3,6,7,1,8,4]=>{{1,4,5,6,7,8},{2},{3}}=>10
[2,4,3,8,5,6,7,1]=>[3,2,5,4,6,7,8,1]=>{{1,3,5,6,7,8},{2},{4}}=>9
[2,8,3,4,5,6,7,1]=>[3,2,4,5,6,7,8,1]=>{{1,3,4,5,6,7,8},{2}}=>6
[2,8,3,5,7,6,4,1]=>[3,2,5,7,6,8,1,4]=>{{1,3,4,5,6,7,8},{2}}=>6
[2,8,5,4,3,6,7,1]=>[4,2,5,6,1,7,8,3]=>{{1,3,4,5,6,7,8},{2}}=>6
[2,8,5,4,6,7,3,1]=>[4,2,5,8,6,7,1,3]=>{{1,3,4,5,6,7,8},{2}}=>6
[2,8,7,4,5,6,3,1]=>[4,2,5,6,7,8,1,3]=>{{1,3,4,5,6,7,8},{2}}=>6
[3,2,8,4,5,6,7,1]=>[2,4,3,5,6,7,8,1]=>{{1,2,4,5,6,7,8},{3}}=>5
[3,2,8,5,7,6,4,1]=>[2,5,3,7,6,8,1,4]=>{{1,2,4,5,6,7,8},{3}}=>5
[4,2,3,7,5,6,1,8]=>[2,3,5,4,6,7,1,8]=>{{1,2,3,5,6,7},{4},{8}}=>3
[4,2,3,8,5,6,7,1]=>[2,3,5,4,6,7,8,1]=>{{1,2,3,5,6,7,8},{4}}=>4
[5,2,3,4,7,6,1,8]=>[2,3,4,6,5,7,1,8]=>{{1,2,3,4,6,7},{5},{8}}=>2
[5,2,3,4,8,6,7,1]=>[2,3,4,6,5,7,8,1]=>{{1,2,3,4,6,7,8},{5}}=>3
[6,2,3,4,5,1,8,7]=>[2,3,4,5,6,1,8,7]=>{{1,2,3,4,5,6},{7,8}}=>0
[6,2,3,4,5,8,7,1]=>[2,3,4,5,7,6,8,1]=>{{1,2,3,4,5,7,8},{6}}=>2
[8,2,3,4,5,7,6,1]=>[2,3,4,5,7,8,1,6]=>{{1,2,3,4,5,7},{6,8}}=>0
[8,2,3,4,7,6,5,1]=>[2,3,4,6,7,8,1,5]=>{{1,2,3,4,5,6,7,8}}=>0
[8,2,3,5,6,7,4,1]=>[2,3,5,8,6,7,1,4]=>{{1,2,3,5,6,7},{4,8}}=>0
[7,2,3,6,5,4,1,8]=>[2,3,5,6,7,1,4,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[8,2,3,6,5,4,7,1]=>[2,3,5,6,7,1,8,4]=>{{1,2,3,4,5,6,7,8}}=>0
[8,2,4,5,7,6,3,1]=>[2,4,7,5,6,8,1,3]=>{{1,2,3,4,5,6,7,8}}=>0
[7,2,4,6,5,3,8,1]=>[2,4,6,5,8,1,7,3]=>{{1,2,3,4,5,6,8},{7}}=>1
[6,2,5,4,3,1,8,7]=>[2,4,5,6,1,3,8,7]=>{{1,2,3,4,5,6},{7,8}}=>0
[7,2,5,4,3,6,1,8]=>[2,4,5,6,1,7,3,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[8,2,5,4,3,6,7,1]=>[2,4,5,6,1,7,8,3]=>{{1,2,3,4,5,6,7,8}}=>0
[8,2,5,4,3,7,6,1]=>[2,4,5,7,1,8,3,6]=>{{1,2,3,4,5,7},{6,8}}=>0
[8,2,7,4,5,6,3,1]=>[2,4,5,6,7,8,1,3]=>{{1,2,3,4,5,6,7,8}}=>0
[8,2,7,4,6,5,3,1]=>[2,4,6,7,8,1,3,5]=>{{1,2,3,4,6,7},{5,8}}=>0
[8,2,7,6,5,4,3,1]=>[2,5,6,7,8,1,3,4]=>{{1,2,3,4,5,6,7,8}}=>0
[8,3,2,4,7,6,5,1]=>[3,4,1,6,7,8,2,5]=>{{1,3},{2,4,5,6,7,8}}=>0
[6,3,2,5,4,1,8,7]=>[3,5,1,6,2,4,8,7]=>{{1,3},{2,5},{4,6},{7,8}}=>0
[8,3,2,5,4,7,6,1]=>[3,5,1,7,2,8,4,6]=>{{1,3},{2,5},{4,7},{6,8}}=>0
[8,3,2,5,7,6,4,1]=>[3,5,1,7,6,8,2,4]=>{{1,3},{2,4,5,6,7,8}}=>0
[8,3,2,6,5,7,4,1]=>[3,5,1,6,8,7,2,4]=>{{1,3},{2,4,5,6,7,8}}=>0
[8,3,2,7,6,5,4,1]=>[3,6,1,7,8,2,4,5]=>{{1,3},{2,6},{4,7},{5,8}}=>0
[8,3,4,5,7,6,2,1]=>[3,7,4,5,6,8,1,2]=>{{1,2,3,4,5,6,7,8}}=>0
[6,3,5,4,2,1,8,7]=>[3,5,4,6,1,2,8,7]=>{{1,2,3,4,5,6},{7,8}}=>0
[6,3,5,4,2,7,1,8]=>[3,5,4,7,1,6,2,8]=>{{1,2,3,4,5,7},{6},{8}}=>1
[6,3,5,4,2,8,7,1]=>[3,5,4,7,1,6,8,2]=>{{1,2,3,4,5,7,8},{6}}=>2
[7,3,5,4,2,6,1,8]=>[3,5,4,6,1,7,2,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[8,3,5,4,2,6,7,1]=>[3,5,4,6,1,7,8,2]=>{{1,2,3,4,5,6,7,8}}=>0
[7,3,5,4,6,2,1,8]=>[3,5,4,7,6,1,2,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[7,3,5,4,6,2,8,1]=>[3,5,4,8,6,1,7,2]=>{{1,2,3,4,5,6,8},{7}}=>1
[8,3,5,4,6,7,2,1]=>[3,5,4,8,6,7,1,2]=>{{1,2,3,4,5,6,7,8}}=>0
[8,3,7,4,5,6,2,1]=>[3,5,4,6,7,8,1,2]=>{{1,2,3,4,5,6,7,8}}=>0
[8,3,7,4,6,5,2,1]=>[3,6,4,7,8,1,2,5]=>{{1,2,3,4,6,7},{5,8}}=>0
[5,4,3,2,8,6,7,1]=>[3,4,6,1,5,7,8,2]=>{{1,2,3,4,6,7,8},{5}}=>3
[6,4,3,2,5,1,8,7]=>[3,4,5,1,6,2,8,7]=>{{1,2,3,4,5,6},{7,8}}=>0
[6,4,3,2,5,8,7,1]=>[3,4,5,1,7,6,8,2]=>{{1,2,3,4,5,7,8},{6}}=>2
[8,4,3,2,5,7,6,1]=>[3,4,5,1,7,8,2,6]=>{{1,2,3,4,5,7},{6,8}}=>0
[8,4,3,2,7,6,5,1]=>[3,4,6,1,7,8,2,5]=>{{1,2,3,4,5,6,7,8}}=>0
[6,4,3,5,2,1,8,7]=>[3,4,6,5,1,2,8,7]=>{{1,2,3,4,5,6},{7,8}}=>0
[8,4,3,7,5,6,2,1]=>[3,4,6,5,7,8,1,2]=>{{1,2,3,4,5,6,7,8}}=>0
[8,4,3,7,6,5,2,1]=>[3,4,7,6,8,1,2,5]=>{{1,2,3,4,6,7},{5,8}}=>0
[8,5,3,4,7,6,2,1]=>[3,4,5,7,6,8,1,2]=>{{1,2,3,4,5,6,7,8}}=>0
[8,6,3,5,4,7,2,1]=>[3,5,6,8,1,7,2,4]=>{{1,2,3,5,6,7},{4,8}}=>0
[8,7,3,5,4,6,2,1]=>[3,5,6,7,1,8,2,4]=>{{1,2,3,4,5,6,7,8}}=>0
[8,5,4,3,2,7,6,1]=>[4,5,7,1,2,8,3,6]=>{{1,4},{2,5},{3,7},{6,8}}=>0
[8,5,4,3,7,6,2,1]=>[4,5,7,1,6,8,2,3]=>{{1,4},{2,3,5,6,7,8}}=>0
[8,7,4,3,6,5,2,1]=>[4,6,7,1,8,2,3,5]=>{{1,4},{2,6},{3,7},{5,8}}=>0
[2,1,4,3,7,8,5,6]=>[2,1,4,3,8,7,6,5]=>{{1,2},{3,4},{5,8},{6,7}}=>1
[2,1,5,6,3,4,8,7]=>[2,1,6,5,4,3,8,7]=>{{1,2},{3,6},{4,5},{7,8}}=>1
[2,1,5,7,3,8,4,6]=>[2,1,8,5,4,7,6,3]=>{{1,2},{3,8},{4,5},{6,7}}=>2
[2,1,6,7,8,3,4,5]=>[2,1,8,7,6,5,4,3]=>{{1,2},{3,8},{4,7},{5,6}}=>3
[2,1,8,3,4,5,6,7]=>[2,1,8,3,4,5,6,7]=>{{1,2},{3,4,5,6,7,8}}=>0
[2,8,1,3,4,5,6,7]=>[8,2,1,3,4,5,6,7]=>{{1,3,4,5,6,7,8},{2}}=>6
[2,3,8,1,4,5,6,7]=>[8,2,3,1,4,5,6,7]=>{{1,4,5,6,7,8},{2},{3}}=>10
[3,4,1,2,6,5,8,7]=>[4,3,2,1,6,5,8,7]=>{{1,4},{2,3},{5,6},{7,8}}=>1
[3,4,1,2,7,8,5,6]=>[4,3,2,1,8,7,6,5]=>{{1,4},{2,3},{5,8},{6,7}}=>2
[3,5,1,6,2,4,8,7]=>[6,3,2,5,4,1,8,7]=>{{1,6},{2,3},{4,5},{7,8}}=>2
[3,5,1,7,2,8,4,6]=>[8,3,2,5,4,7,6,1]=>{{1,8},{2,3},{4,5},{6,7}}=>3
[3,6,1,7,8,2,4,5]=>[8,3,2,7,6,5,4,1]=>{{1,8},{2,3},{4,7},{5,6}}=>4
[3,1,8,2,4,5,6,7]=>[8,1,3,2,4,5,6,7]=>{{1,2,4,5,6,7,8},{3}}=>5
[3,8,1,2,4,5,6,7]=>[8,3,2,1,4,5,6,7]=>{{1,4,5,6,7,8},{2,3}}=>5
[1,3,8,2,4,5,6,7]=>[1,8,3,2,4,5,6,7]=>{{1},{2,4,5,6,7,8},{3}}=>5
[4,5,6,1,2,3,8,7]=>[6,5,4,3,2,1,8,7]=>{{1,6},{2,5},{3,4},{7,8}}=>3
[4,5,7,1,2,8,3,6]=>[8,5,4,3,2,7,6,1]=>{{1,8},{2,5},{3,4},{6,7}}=>4
[4,6,7,1,8,2,3,5]=>[8,7,4,3,6,5,2,1]=>{{1,8},{2,7},{3,4},{5,6}}=>5
[4,1,8,2,3,5,6,7]=>[8,1,4,3,2,5,6,7]=>{{1,2,5,6,7,8},{3,4}}=>4
[4,1,2,8,3,5,6,7]=>[8,1,2,4,3,5,6,7]=>{{1,2,3,5,6,7,8},{4}}=>4
[1,4,2,8,3,5,6,7]=>[1,8,2,4,3,5,6,7]=>{{1},{2,3,5,6,7,8},{4}}=>4
[5,1,2,3,6,7,4,8]=>[7,1,2,3,5,6,4,8]=>{{1,2,3,4,7},{5},{6},{8}}=>2
[5,1,2,8,3,4,6,7]=>[8,1,2,5,4,3,6,7]=>{{1,2,3,6,7,8},{4,5}}=>3
[5,1,2,3,8,4,6,7]=>[8,1,2,3,5,4,6,7]=>{{1,2,3,4,6,7,8},{5}}=>3
[1,5,2,3,8,4,6,7]=>[1,8,2,3,5,4,6,7]=>{{1},{2,3,4,6,7,8},{5}}=>3
[6,1,2,7,3,4,5,8]=>[7,1,2,6,4,5,3,8]=>{{1,2,3,7},{4,5,6},{8}}=>1
[6,1,2,3,7,4,5,8]=>[7,1,2,3,6,5,4,8]=>{{1,2,3,4,7},{5,6},{8}}=>1
[6,1,2,3,4,7,5,8]=>[7,1,2,3,4,6,5,8]=>{{1,2,3,4,5,7},{6},{8}}=>1
[1,6,2,3,4,7,8,5]=>[1,8,2,3,4,6,7,5]=>{{1},{2,3,4,5,8},{6},{7}}=>2
[6,1,2,3,8,4,5,7]=>[8,1,2,3,6,5,4,7]=>{{1,2,3,4,7,8},{5,6}}=>2
[6,1,2,3,4,8,5,7]=>[8,1,2,3,4,6,5,7]=>{{1,2,3,4,5,7,8},{6}}=>2
[1,6,2,3,4,8,5,7]=>[1,8,2,3,4,6,5,7]=>{{1},{2,3,4,5,7,8},{6}}=>2
[6,1,2,3,4,5,8,7]=>[6,1,2,3,4,5,8,7]=>{{1,2,3,4,5,6},{7,8}}=>0
[7,1,2,3,4,8,5,6]=>[8,1,2,3,4,7,6,5]=>{{1,2,3,4,5,8},{6,7}}=>1
[1,7,2,3,4,8,5,6]=>[1,8,2,3,4,7,6,5]=>{{1},{2,3,4,5,8},{6,7}}=>1
[7,1,2,3,4,5,8,6]=>[8,1,2,3,4,5,7,6]=>{{1,2,3,4,5,6,8},{7}}=>1
[1,7,2,3,4,5,8,6]=>[1,8,2,3,4,5,7,6]=>{{1},{2,3,4,5,6,8},{7}}=>1
[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>{{1},{2,3,4,5,6,7},{8}}=>0
[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>0
[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>{{1},{2},{3,4,5,6,7,8}}=>0
[5,3,2,6,1,4,8,7]=>[3,6,1,5,4,2,8,7]=>{{1,3},{2,6},{4,5},{7,8}}=>1
[7,3,2,5,4,8,1,6]=>[3,5,1,8,2,7,6,4]=>{{1,3},{2,5},{4,8},{6,7}}=>1
[8,4,5,2,3,7,6,1]=>[4,7,5,2,1,8,3,6]=>{{1,2,3,4,5,7},{6,8}}=>0
[7,4,5,2,3,8,1,6]=>[4,8,5,2,1,7,6,3]=>{{1,2,3,4,5,8},{6,7}}=>1
[6,4,5,2,3,1,8,7]=>[4,6,5,2,1,3,8,7]=>{{1,2,3,4,5,6},{7,8}}=>0
[5,4,6,2,1,3,8,7]=>[5,6,4,2,3,1,8,7]=>{{1,2,3,4,5,6},{7,8}}=>0
[3,6,1,5,4,2,8,7]=>[5,3,2,6,1,4,8,7]=>{{1,5},{2,3},{4,6},{7,8}}=>1
[4,6,5,1,3,2,8,7]=>[6,4,5,3,1,2,8,7]=>{{1,2,3,4,5,6},{7,8}}=>0
[5,6,4,3,1,2,8,7]=>[5,4,6,1,3,2,8,7]=>{{1,2,3,4,5,6},{7,8}}=>0
[7,5,4,3,2,8,1,6]=>[4,5,8,1,2,7,6,3]=>{{1,4},{2,5},{3,8},{6,7}}=>1
[8,6,4,3,7,2,5,1]=>[4,6,8,1,7,3,2,5]=>{{1,4},{2,3,5,6,7,8}}=>0
[7,6,4,3,8,2,1,5]=>[4,7,8,1,6,3,5,2]=>{{1,4},{2,3,5,6,7,8}}=>0
[6,7,4,3,8,1,2,5]=>[7,4,8,1,6,5,3,2]=>{{1,2,3,4,7,8},{5,6}}=>2
[5,7,4,3,1,8,2,6]=>[5,4,8,1,3,7,6,2]=>{{1,2,3,4,5,8},{6,7}}=>1
[4,7,5,1,3,8,2,6]=>[8,4,5,3,1,7,6,2]=>{{1,2,3,4,5,8},{6,7}}=>1
[3,7,1,5,4,8,2,6]=>[5,3,2,8,1,7,6,4]=>{{1,5},{2,3},{4,8},{6,7}}=>2
[2,1,7,5,4,8,3,6]=>[2,1,5,8,3,7,6,4]=>{{1,2},{3,5},{4,8},{6,7}}=>1
[3,8,1,5,4,7,6,2]=>[5,3,2,7,1,8,4,6]=>{{1,5},{2,3},{4,7},{6,8}}=>1
[4,8,5,1,3,7,6,2]=>[7,4,5,3,1,8,2,6]=>{{1,2,3,4,5,7},{6,8}}=>0
[5,8,4,3,1,7,6,2]=>[5,4,7,1,3,8,2,6]=>{{1,2,3,4,5,7},{6,8}}=>0
[6,8,4,3,7,1,5,2]=>[6,4,8,1,7,5,2,3]=>{{1,2,4,5,6,7},{3,8}}=>0
[6,8,5,7,3,1,4,2]=>[7,5,8,6,2,4,1,3]=>{{1,7},{2,5},{3,8},{4,6}}=>3
[3,8,1,6,7,4,5,2]=>[6,3,2,8,7,4,1,5]=>{{1,4,5,6,7,8},{2,3}}=>5
[2,1,8,6,7,4,5,3]=>[2,1,6,8,7,4,3,5]=>{{1,2},{3,4,5,6,7,8}}=>0
[2,1,7,6,8,4,3,5]=>[2,1,7,8,6,4,5,3]=>{{1,2},{3,4,5,6,7,8}}=>0
[3,7,1,6,8,4,2,5]=>[7,3,2,8,6,4,5,1]=>{{1,4,5,6,7,8},{2,3}}=>5
[4,7,6,1,8,3,2,5]=>[8,4,7,3,6,2,5,1]=>{{1,8},{2,3,4,5,6,7}}=>1
[5,7,6,8,1,3,2,4]=>[8,6,7,5,4,2,3,1]=>{{1,8},{2,6},{3,7},{4,5}}=>5
[5,4,7,2,1,8,3,6]=>[5,8,4,2,3,7,6,1]=>{{1,2,3,4,5,8},{6,7}}=>1
[6,4,7,2,8,1,3,5]=>[7,8,4,2,6,5,3,1]=>{{1,2,3,4,7,8},{5,6}}=>2
[8,4,6,2,7,3,5,1]=>[4,8,6,2,7,3,1,5]=>{{1,2,4,5,7,8},{3,6}}=>2
[8,3,2,6,7,4,5,1]=>[3,6,1,8,7,4,2,5]=>{{1,3},{2,4,5,6,7,8}}=>0
[7,3,2,6,8,4,1,5]=>[3,7,1,8,6,4,5,2]=>{{1,3},{2,4,5,6,7,8}}=>0
[6,3,2,7,8,1,4,5]=>[3,8,1,7,6,5,4,2]=>{{1,3},{2,8},{4,7},{5,6}}=>3
[5,3,2,7,1,8,4,6]=>[3,8,1,5,4,7,6,2]=>{{1,3},{2,8},{4,5},{6,7}}=>2
[4,3,2,1,7,8,5,6]=>[3,4,1,2,8,7,6,5]=>{{1,3},{2,4},{5,8},{6,7}}=>1
[3,4,1,2,8,7,6,5]=>[4,3,2,1,7,8,5,6]=>{{1,4},{2,3},{5,7},{6,8}}=>1
[5,3,2,8,1,7,6,4]=>[3,7,1,5,4,8,2,6]=>{{1,3},{2,7},{4,5},{6,8}}=>1
[6,3,2,8,7,1,5,4]=>[3,8,1,6,7,5,2,4]=>{{1,3},{2,4,5,6,7,8}}=>0
[7,3,2,8,6,5,1,4]=>[3,7,1,6,8,2,5,4]=>{{1,3},{2,4,5,6,7,8}}=>0
[8,4,7,2,6,5,3,1]=>[4,7,6,2,8,1,3,5]=>{{1,2,3,4,6,7},{5,8}}=>0
[7,4,8,2,6,5,1,3]=>[6,7,4,2,8,1,5,3]=>{{1,6},{2,3,4,5,7,8}}=>0
[5,4,8,2,1,7,6,3]=>[5,7,4,2,3,8,1,6]=>{{1,2,3,4,5,7},{6,8}}=>0
[4,5,8,1,2,7,6,3]=>[7,5,4,3,2,8,1,6]=>{{1,7},{2,5},{3,4},{6,8}}=>3
[3,5,1,8,2,7,6,4]=>[7,3,2,5,4,8,1,6]=>{{1,7},{2,3},{4,5},{6,8}}=>2
[2,1,5,8,3,7,6,4]=>[2,1,7,5,4,8,3,6]=>{{1,2},{3,7},{4,5},{6,8}}=>1
[2,1,6,8,7,3,5,4]=>[2,1,8,6,7,5,3,4]=>{{1,2},{3,4,5,6,7,8}}=>0
[3,6,1,8,7,2,5,4]=>[8,3,2,6,7,5,1,4]=>{{1,4,5,6,7,8},{2,3}}=>5
[4,6,8,1,7,2,5,3]=>[8,6,4,3,7,5,1,2]=>{{1,2,5,6,7,8},{3,4}}=>4
[6,5,8,7,2,1,4,3]=>[7,8,5,6,3,4,1,2]=>{{1,7},{2,8},{3,5},{4,6}}=>4
[7,5,8,6,2,4,1,3]=>[6,8,5,7,3,1,4,2]=>{{1,6},{2,8},{3,5},{4,7}}=>3
[4,7,8,1,6,5,2,3]=>[7,6,4,3,8,1,5,2]=>{{1,2,5,6,7,8},{3,4}}=>4
[3,7,1,8,6,5,2,4]=>[7,3,2,6,8,1,5,4]=>{{1,4,5,6,7,8},{2,3}}=>5
[2,1,7,8,6,5,3,4]=>[2,1,7,6,8,3,5,4]=>{{1,2},{3,4,5,6,7,8}}=>0
[3,8,1,7,6,5,4,2]=>[6,3,2,7,8,1,4,5]=>{{1,6},{2,3},{4,7},{5,8}}=>1
[4,8,7,1,6,5,3,2]=>[7,4,6,3,8,1,2,5]=>{{1,2,3,4,6,7},{5,8}}=>0
[2,1,4,3,6,5,8,7,10,9]=>[2,1,4,3,6,5,8,7,10,9]=>{{1,2},{3,4},{5,6},{7,8},{9,10}}=>0
[3,4,1,2,6,5,8,7,10,9]=>[4,3,2,1,6,5,8,7,10,9]=>{{1,4},{2,3},{5,6},{7,8},{9,10}}=>1
[4,5,6,1,2,3,8,7,10,9]=>[6,5,4,3,2,1,8,7,10,9]=>{{1,6},{2,5},{3,4},{7,8},{9,10}}=>3
[5,6,7,8,1,2,3,4,10,9]=>[8,7,6,5,4,3,2,1,10,9]=>{{1,8},{2,7},{3,6},{4,5},{9,10}}=>6
[3,4,1,2,7,8,5,6,10,9]=>[4,3,2,1,8,7,6,5,10,9]=>{{1,4},{2,3},{5,8},{6,7},{9,10}}=>2
[2,1,7,8,9,10,3,4,5,6]=>[2,1,10,9,8,7,6,5,4,3]=>{{1,2},{3,10},{4,9},{5,8},{6,7}}=>6
[6,7,8,9,10,1,2,3,4,5]=>[10,9,8,7,6,5,4,3,2,1]=>{{1,10},{2,9},{3,8},{4,7},{5,6}}=>10
[3,4,1,2,8,9,10,5,6,7]=>[4,3,2,1,10,9,8,7,6,5]=>{{1,4},{2,3},{5,10},{6,9},{7,8}}=>4
[2,1,4,3,8,9,10,5,6,7]=>[2,1,4,3,10,9,8,7,6,5]=>{{1,2},{3,4},{5,10},{6,9},{7,8}}=>3
[2,1,5,6,3,4,9,10,7,8]=>[2,1,6,5,4,3,10,9,8,7]=>{{1,2},{3,6},{4,5},{7,10},{8,9}}=>2
[4,5,6,1,2,3,9,10,7,8]=>[6,5,4,3,2,1,10,9,8,7]=>{{1,6},{2,5},{3,4},{7,10},{8,9}}=>4
[2,1,4,3,6,5,9,10,7,8]=>[2,1,4,3,6,5,10,9,8,7]=>{{1,2},{3,4},{5,6},{7,10},{8,9}}=>1
[7,3,5,1,2,4,6,8]=>[3,7,5,2,4,1,6,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[7,3,6,1,2,4,5,8]=>[3,7,6,2,4,5,1,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[3,2,8,1,4,5,6,7]=>[2,8,3,1,4,5,6,7]=>{{1,2,4,5,6,7,8},{3}}=>5
[4,2,8,1,3,5,6,7]=>[2,8,4,3,1,5,6,7]=>{{1,2,5,6,7,8},{3,4}}=>4
[5,4,8,1,2,3,6,7]=>[5,8,4,3,2,1,6,7]=>{{1,2,5,6,7,8},{3,4}}=>4
[6,3,8,1,2,4,5,7]=>[6,8,3,2,4,5,1,7]=>{{1,2,4,5,6,7,8},{3}}=>5
[7,4,8,1,2,3,5,6]=>[7,8,4,3,2,5,6,1]=>{{1,2,5,6,7,8},{3,4}}=>4
[8,2,4,1,3,5,6,7]=>[2,4,8,3,1,5,6,7]=>{{1,2,3,4,5,6,7,8}}=>0
[8,3,6,1,2,4,5,7]=>[3,8,6,2,4,5,1,7]=>{{1,2,3,4,5,6,7,8}}=>0
[8,3,7,1,2,4,5,6]=>[3,8,7,2,4,5,6,1]=>{{1,2,3,4,5,6,7,8}}=>0
[8,4,7,1,2,3,5,6]=>[4,8,7,3,2,5,6,1]=>{{1,2,3,4,5,6,7,8}}=>0
[8,5,7,1,2,3,4,6]=>[5,8,7,3,4,2,6,1]=>{{1,2,3,4,5,6,7,8}}=>0
[5,2,4,7,1,3,6,8]=>[2,5,7,4,3,1,6,8]=>{{1,2,3,5,6,7},{4},{8}}=>3
[5,3,4,7,1,2,6,8]=>[3,7,5,4,2,1,6,8]=>{{1,2,3,5,6,7},{4},{8}}=>3
[7,3,5,6,1,2,4,8]=>[3,7,5,6,4,2,1,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[6,2,4,8,1,3,5,7]=>[2,6,8,4,3,5,1,7]=>{{1,2,3,5,6,7,8},{4}}=>4
[6,2,5,8,1,3,4,7]=>[2,6,8,5,4,3,1,7]=>{{1,2,3,6,7,8},{4,5}}=>3
[6,3,5,8,1,2,4,7]=>[3,8,6,5,4,2,1,7]=>{{1,2,3,6,7,8},{4,5}}=>3
[6,4,5,8,1,2,3,7]=>[5,8,6,4,3,2,1,7]=>{{1,2,3,5,6,7,8},{4}}=>4
[7,2,4,8,1,3,5,6]=>[2,7,8,4,3,5,6,1]=>{{1,2,3,5,6,7,8},{4}}=>4
[7,3,5,8,1,2,4,6]=>[3,8,7,5,4,2,6,1]=>{{1,2,3,6,7,8},{4,5}}=>3
[7,4,6,8,1,2,3,5]=>[6,8,7,4,3,5,2,1]=>{{1,2,3,5,6,7,8},{4}}=>4
[8,2,4,6,1,3,5,7]=>[2,4,8,6,3,5,1,7]=>{{1,2,3,4,5,6,7,8}}=>0
[8,3,5,6,1,2,4,7]=>[3,8,5,6,4,2,1,7]=>{{1,2,3,4,5,6,7,8}}=>0
[8,2,4,7,1,3,5,6]=>[2,4,8,7,3,5,6,1]=>{{1,2,3,4,5,6,7,8}}=>0
[8,2,5,7,1,3,4,6]=>[2,5,8,7,4,3,6,1]=>{{1,2,3,4,5,6,7,8}}=>0
[8,4,6,7,1,2,3,5]=>[4,8,7,6,3,5,2,1]=>{{1,2,3,4,5,6,7,8}}=>0
[4,7,3,5,1,2,6,8]=>[4,3,7,5,2,1,6,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[5,7,2,6,1,3,4,8]=>[7,5,1,6,4,3,2,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[5,7,3,6,1,2,4,8]=>[5,3,7,6,4,2,1,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[4,8,2,5,1,3,6,7]=>[8,4,1,5,3,2,6,7]=>{{1,2,3,4,5,6,7,8}}=>0
[3,8,2,6,1,4,5,7]=>[6,3,1,8,4,5,2,7]=>{{1,2,3,4,5,6,7,8}}=>0
[4,8,2,6,1,3,5,7]=>[8,4,1,6,3,5,2,7]=>{{1,2,3,4,5,6,7,8}}=>0
[5,8,4,6,1,2,3,7]=>[6,4,8,5,3,2,1,7]=>{{1,2,3,4,5,6,7,8}}=>0
[3,8,2,7,1,4,5,6]=>[7,3,1,8,4,5,6,2]=>{{1,2,3,4,5,6,7,8}}=>0
[4,8,2,7,1,3,5,6]=>[8,4,1,7,3,5,6,2]=>{{1,2,3,4,5,6,7,8}}=>0
[5,8,2,7,1,3,4,6]=>[8,5,1,7,4,3,6,2]=>{{1,2,3,4,5,6,7,8}}=>0
[5,8,3,7,1,2,4,6]=>[5,3,8,7,4,2,6,1]=>{{1,2,3,4,5,6,7,8}}=>0
[5,8,4,7,1,2,3,6]=>[7,4,8,5,3,2,6,1]=>{{1,2,3,4,5,6,7,8}}=>0
[6,8,3,7,1,2,4,5]=>[6,3,8,7,4,5,2,1]=>{{1,2,3,4,5,6,7,8}}=>0
[6,8,5,7,1,2,3,4]=>[7,5,8,6,4,3,2,1]=>{{1,2,3,4,5,6,7,8}}=>0
[7,6,3,5,1,2,4,8]=>[3,5,6,7,4,2,1,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[8,3,2,6,1,4,5,7]=>[3,6,1,8,4,5,2,7]=>{{1,3},{2,4,5,6,7,8}}=>0
[8,6,2,4,1,3,5,7]=>[4,6,1,8,3,5,2,7]=>{{1,2,3,4,5,6,7,8}}=>0
[8,6,2,5,1,3,4,7]=>[5,6,1,8,4,3,2,7]=>{{1,2,3,4,5,6,7,8}}=>0
[8,3,2,7,1,4,5,6]=>[3,7,1,8,4,5,6,2]=>{{1,3},{2,4,5,6,7,8}}=>0
[8,4,2,7,1,3,5,6]=>[4,8,1,7,3,5,6,2]=>{{1,3,4,5,6,7},{2,8}}=>0
[8,7,2,5,1,3,4,6]=>[5,7,1,8,4,3,6,2]=>{{1,2,3,4,5,6,7,8}}=>0
[8,7,3,5,1,2,4,6]=>[3,5,7,8,4,2,6,1]=>{{1,2,3,4,5,6,7,8}}=>0
[8,7,2,6,1,3,4,5]=>[6,7,1,8,4,5,3,2]=>{{1,2,3,4,5,6,7,8}}=>0
[8,7,3,6,1,2,4,5]=>[3,6,7,8,4,5,2,1]=>{{1,2,3,4,5,6,7,8}}=>0
[4,7,2,5,8,1,3,6]=>[8,4,1,7,5,3,6,2]=>{{1,2,3,4,6,7,8},{5}}=>3
[4,7,3,5,8,1,2,6]=>[4,3,8,7,5,2,6,1]=>{{1,2,3,4,6,7,8},{5}}=>3
[3,7,2,6,8,1,4,5]=>[7,3,1,8,6,5,4,2]=>{{1,2,3,4,7,8},{5,6}}=>2
[4,7,3,6,8,1,2,5]=>[4,3,8,7,6,5,2,1]=>{{1,2,3,4,7,8},{5,6}}=>2
[5,7,2,6,8,1,3,4]=>[8,6,1,7,5,4,3,2]=>{{1,2,3,4,6,7,8},{5}}=>3
[5,7,4,6,8,1,2,3]=>[7,4,8,6,5,3,2,1]=>{{1,2,3,4,6,7,8},{5}}=>3
[4,8,2,5,7,1,3,6]=>[8,4,1,5,7,3,6,2]=>{{1,2,3,4,5,6,7,8}}=>0
[4,8,3,5,7,1,2,6]=>[4,3,8,5,7,2,6,1]=>{{1,2,3,4,5,6,7,8}}=>0
[3,8,2,6,7,1,4,5]=>[6,3,1,8,7,5,4,2]=>{{1,2,3,4,5,6,7,8}}=>0
[5,8,2,6,7,1,3,4]=>[8,5,1,7,6,4,3,2]=>{{1,2,3,4,5,6,7,8}}=>0
[5,8,4,6,7,1,2,3]=>[7,4,8,5,6,3,2,1]=>{{1,2,3,4,5,6,7,8}}=>0
[7,8,2,4,6,1,3,5]=>[6,4,1,7,8,5,3,2]=>{{1,2,3,4,5,6,7,8}}=>0
[7,8,3,4,6,1,2,5]=>[4,3,6,7,8,5,2,1]=>{{1,2,3,4,5,6,7,8}}=>0
[7,8,2,5,6,1,3,4]=>[6,5,1,8,7,4,3,2]=>{{1,2,3,4,5,6,7,8}}=>0
[6,5,2,4,8,1,3,7]=>[4,6,1,8,5,3,2,7]=>{{1,2,3,4,6,7,8},{5}}=>3
[7,5,3,4,8,1,2,6]=>[3,4,7,8,5,2,6,1]=>{{1,2,3,4,6,7,8},{5}}=>3
[7,6,2,4,8,1,3,5]=>[4,7,1,8,6,5,3,2]=>{{1,2,3,4,7,8},{5,6}}=>2
[8,3,2,5,7,1,4,6]=>[3,5,1,8,7,4,6,2]=>{{1,3},{2,4,5,6,7,8}}=>0
[8,4,2,5,7,1,3,6]=>[4,8,1,5,7,3,6,2]=>{{1,3,4,5,6,7},{2,8}}=>0
[8,5,2,4,7,1,3,6]=>[4,5,1,8,7,3,6,2]=>{{1,2,3,4,5,6,7,8}}=>0
[8,3,2,6,7,1,4,5]=>[3,6,1,8,7,5,4,2]=>{{1,3},{2,4,5,6,7,8}}=>0
[8,4,2,6,7,1,3,5]=>[4,8,1,6,7,5,3,2]=>{{1,3,4,5,6,7},{2,8}}=>0
[8,5,2,6,7,1,3,4]=>[5,8,1,7,6,4,3,2]=>{{1,3,4,5,6,7},{2,8}}=>0
[8,6,2,4,7,1,3,5]=>[4,6,1,8,7,5,3,2]=>{{1,2,3,4,5,6,7,8}}=>0
[8,6,3,5,7,1,2,4]=>[3,5,7,8,6,4,2,1]=>{{1,2,3,4,5,6,7,8}}=>0
[5,4,7,2,6,1,3,8]=>[5,7,4,2,6,3,1,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[6,4,8,3,5,1,2,7]=>[5,6,4,1,8,3,2,7]=>{{1,2,3,4,5,6,7,8}}=>0
[5,4,8,2,7,1,3,6]=>[5,8,4,2,7,3,6,1]=>{{1,2,3,4,5,6,7,8}}=>0
[6,4,8,2,7,1,3,5]=>[6,8,4,2,7,5,3,1]=>{{1,2,3,4,5,6,7,8}}=>0
[6,4,8,3,7,1,2,5]=>[6,8,4,1,7,5,3,2]=>{{1,3,4,5,6,7},{2,8}}=>0
[6,5,8,2,7,1,3,4]=>[7,8,5,2,6,4,3,1]=>{{1,2,3,4,5,6,7,8}}=>0
[7,3,8,2,5,1,4,6]=>[5,7,3,1,8,4,6,2]=>{{1,2,4,5,6,7,8},{3}}=>5
[7,5,8,2,4,1,3,6]=>[7,8,5,2,1,4,6,3]=>{{1,2,3,4,5,6,7,8}}=>0
[7,3,8,2,6,1,4,5]=>[6,7,3,1,8,5,4,2]=>{{1,2,4,5,6,7,8},{3}}=>5
[7,5,8,4,6,1,2,3]=>[5,6,4,8,7,3,2,1]=>{{1,2,3,4,5,6,7,8}}=>0
[7,6,8,2,5,1,3,4]=>[6,7,5,2,8,4,3,1]=>{{1,2,3,4,5,6,7,8}}=>0
[8,3,6,2,5,1,4,7]=>[3,6,5,1,8,4,2,7]=>{{1,2,3,4,5,6,7,8}}=>0
[8,4,6,2,5,1,3,7]=>[4,6,5,2,8,3,1,7]=>{{1,2,3,4,5,6,7,8}}=>0
[8,5,6,2,4,1,3,7]=>[5,8,6,2,1,4,3,7]=>{{1,5},{2,3,4,6,7,8}}=>0
[8,3,7,2,5,1,4,6]=>[3,7,5,1,8,4,6,2]=>{{1,2,3,4,5,6,7,8}}=>0
[8,5,7,2,4,1,3,6]=>[5,8,7,2,1,4,6,3]=>{{1,5},{2,3,4,6,7,8}}=>0
[8,3,7,2,6,1,4,5]=>[3,7,6,1,8,5,4,2]=>{{1,2,3,4,5,6,7,8}}=>0
[8,6,7,3,5,1,2,4]=>[5,7,6,1,8,4,3,2]=>{{1,2,3,4,5,6,7,8}}=>0
[5,4,3,2,7,1,6,8]=>[3,4,7,1,5,2,6,8]=>{{1,2,3,4,6,7},{5},{8}}=>2
[6,5,4,2,7,1,3,8]=>[4,6,7,2,5,3,1,8]=>{{1,2,3,4,6,7},{5},{8}}=>2
[5,4,3,2,8,1,6,7]=>[3,4,8,1,5,2,6,7]=>{{1,2,3,4,6,7,8},{5}}=>3
[6,5,3,2,8,1,4,7]=>[3,6,8,1,5,4,2,7]=>{{1,2,3,4,6,7,8},{5}}=>3
[7,5,3,2,8,1,4,6]=>[3,7,8,1,5,4,6,2]=>{{1,2,3,4,6,7,8},{5}}=>3
[7,6,5,2,8,1,3,4]=>[6,7,8,2,5,4,3,1]=>{{1,2,3,4,6,7,8},{5}}=>3
[8,5,3,2,7,1,4,6]=>[3,5,8,1,7,4,6,2]=>{{1,2,3,4,5,6,7,8}}=>0
[8,6,3,2,7,1,4,5]=>[3,6,8,1,7,5,4,2]=>{{1,2,3,4,5,6,7,8}}=>0
[8,6,4,2,7,1,3,5]=>[4,6,8,2,7,5,3,1]=>{{1,2,3,4,5,6,7,8}}=>0
[8,7,4,2,6,1,3,5]=>[4,6,7,2,8,5,3,1]=>{{1,2,4,5,6,8},{3,7}}=>1
[8,7,6,3,5,1,2,4]=>[5,6,7,1,8,4,3,2]=>{{1,2,4,5,6,8},{3,7}}=>1
[4,8,3,7,2,6,1,5]=>[4,3,7,6,1,8,5,2]=>{{1,2,3,4,5,6,7,8}}=>0
[6,8,3,7,2,5,1,4]=>[6,3,8,7,2,1,5,4]=>{{1,6},{2,3,4,5,7,8}}=>0
[6,8,4,7,2,5,1,3]=>[7,4,8,6,2,1,5,3]=>{{1,2,4,5,6,7},{3,8}}=>0
[7,8,4,6,3,5,1,2]=>[6,4,8,7,1,2,5,3]=>{{1,2,4,5,6,7},{3,8}}=>0
[6,4,3,8,2,7,1,5]=>[3,6,8,4,1,7,5,2]=>{{1,2,3,5,6,7,8},{4}}=>4
[6,5,4,8,2,7,1,3]=>[5,6,8,4,2,7,3,1]=>{{1,2,3,5,6,7,8},{4}}=>4
[7,5,3,8,2,6,1,4]=>[3,6,7,5,2,8,4,1]=>{{1,2,3,4,5,6,7,8}}=>0
[7,6,5,8,2,4,1,3]=>[6,7,8,5,3,1,4,2]=>{{1,6},{2,3,4,5,7,8}}=>0
[8,5,3,7,2,6,1,4]=>[3,5,7,6,2,8,4,1]=>{{1,3,4,6,7,8},{2,5}}=>3
[8,5,4,7,2,6,1,3]=>[4,6,7,5,2,8,3,1]=>{{1,2,4,5,6,8},{3,7}}=>1
[8,6,3,7,2,5,1,4]=>[3,6,8,7,2,1,5,4]=>{{1,2,3,4,5,6,7,8}}=>0
[8,6,4,7,3,5,1,2]=>[4,7,8,6,1,2,5,3]=>{{1,2,4,5,6,7},{3,8}}=>0
[8,6,5,7,2,4,1,3]=>[5,7,8,6,3,1,4,2]=>{{1,2,3,4,5,6,7,8}}=>0
[8,7,5,6,2,4,1,3]=>[5,6,8,7,3,1,4,2]=>{{1,2,3,5,6,8},{4,7}}=>1
[8,7,4,3,2,6,1,5]=>[4,6,7,1,2,8,5,3]=>{{1,4},{2,3,5,6,7,8}}=>0
[8,7,5,4,2,6,1,3]=>[4,5,6,7,2,8,3,1]=>{{1,3,4,6,7,8},{2,5}}=>3
[8,7,6,3,2,5,1,4]=>[6,7,8,1,3,2,5,4]=>{{1,2,3,4,5,6,7,8}}=>0
[8,7,6,4,2,5,1,3]=>[4,6,7,8,2,1,5,3]=>{{1,2,3,4,5,6,7,8}}=>0
[8,7,6,5,2,4,1,3]=>[5,6,7,8,3,1,4,2]=>{{1,2,3,4,5,6,7,8}}=>0
[8,1,2,3,4,7,5,6]=>[7,1,2,3,4,8,6,5]=>{{1,2,3,4,5,6,7,8}}=>0
[8,1,2,3,6,4,5,7]=>[6,1,2,3,8,5,4,7]=>{{1,2,3,4,5,6,7,8}}=>0
[8,1,2,3,7,4,5,6]=>[7,1,2,3,8,5,6,4]=>{{1,2,3,4,5,6,7,8}}=>0
[7,1,2,3,6,4,8,5]=>[6,1,2,3,8,5,7,4]=>{{1,2,3,4,5,6,8},{7}}=>1
[5,1,2,3,8,7,4,6]=>[7,1,2,3,5,8,6,4]=>{{1,2,3,4,6,7,8},{5}}=>3
[8,1,2,3,6,7,4,5]=>[6,1,2,3,8,7,5,4]=>{{1,2,3,4,5,6,7,8}}=>0
[4,1,2,8,3,7,5,6]=>[7,1,2,4,3,8,6,5]=>{{1,2,3,5,6,7,8},{4}}=>4
[7,1,2,5,3,4,8,6]=>[5,1,2,8,4,3,7,6]=>{{1,2,3,4,5,6,8},{7}}=>1
[7,1,2,6,3,4,8,5]=>[6,1,2,8,4,5,7,3]=>{{1,2,3,4,5,6,8},{7}}=>1
[4,1,2,8,6,3,5,7]=>[6,1,2,4,8,5,3,7]=>{{1,2,3,5,6,7,8},{4}}=>4
[4,1,2,8,7,3,5,6]=>[7,1,2,4,8,5,6,3]=>{{1,2,3,5,6,7,8},{4}}=>4
[8,1,2,7,6,3,4,5]=>[6,1,2,7,8,5,4,3]=>{{1,2,3,5,6,8},{4,7}}=>1
[7,1,2,5,6,3,8,4]=>[5,1,2,8,6,4,7,3]=>{{1,2,3,4,5,6,8},{7}}=>1
[4,1,2,8,6,7,3,5]=>[6,1,2,4,8,7,5,3]=>{{1,2,3,5,6,7,8},{4}}=>4
[3,1,8,2,6,4,5,7]=>[6,1,3,2,8,5,4,7]=>{{1,2,4,5,6,7,8},{3}}=>5
[3,1,8,2,7,4,5,6]=>[7,1,3,2,8,5,6,4]=>{{1,2,4,5,6,7,8},{3}}=>5
[8,1,4,2,3,5,6,7]=>[4,1,8,3,2,5,6,7]=>{{1,2,3,4,5,6,7,8}}=>0
[8,1,4,2,3,7,5,6]=>[4,1,7,3,2,8,6,5]=>{{1,2,3,4,5,6,7,8}}=>0
[7,1,5,2,3,4,8,6]=>[5,1,8,3,4,2,7,6]=>{{1,2,3,4,5,6,8},{7}}=>1
[8,1,7,2,3,4,5,6]=>[7,1,8,3,4,5,6,2]=>{{1,2,3,4,5,6,7,8}}=>0
[6,1,5,2,3,8,4,7]=>[5,1,8,3,4,6,2,7]=>{{1,2,3,4,5,7,8},{6}}=>2
[8,1,5,2,3,7,4,6]=>[5,1,7,3,4,8,6,2]=>{{1,2,3,4,5,6,7,8}}=>0
[5,1,4,2,8,3,6,7]=>[4,1,8,3,5,2,6,7]=>{{1,2,3,4,6,7,8},{5}}=>3
[8,1,4,2,6,3,5,7]=>[4,1,6,3,8,5,2,7]=>{{1,2,3,4,5,6,7,8}}=>0
[8,1,4,2,7,3,5,6]=>[4,1,7,3,8,5,6,2]=>{{1,2,3,4,5,6,7,8}}=>0
[7,1,4,2,6,3,8,5]=>[4,1,6,3,8,5,7,2]=>{{1,2,3,4,5,6,8},{7}}=>1
[8,1,5,2,7,3,4,6]=>[5,1,8,3,7,4,6,2]=>{{1,2,3,4,5,6,7,8}}=>0
[7,1,5,2,6,3,8,4]=>[5,1,8,3,6,4,7,2]=>{{1,2,3,4,5,6,8},{7}}=>1
[5,1,4,2,8,7,3,6]=>[4,1,7,3,5,8,6,2]=>{{1,2,3,4,6,7,8},{5}}=>3
[8,1,4,2,6,7,3,5]=>[4,1,6,3,8,7,5,2]=>{{1,2,3,4,5,6,7,8}}=>0
[8,1,5,2,6,7,3,4]=>[5,1,8,3,6,7,4,2]=>{{1,2,3,4,5,6,7,8}}=>0
[3,1,8,6,2,4,5,7]=>[6,1,3,8,4,5,2,7]=>{{1,2,4,5,6,7,8},{3}}=>5
[8,1,4,5,2,3,6,7]=>[4,1,8,5,3,2,6,7]=>{{1,2,3,4,5,6,7,8}}=>0
[7,1,4,5,2,3,8,6]=>[4,1,8,5,3,2,7,6]=>{{1,2,3,4,5,6,8},{7}}=>1
[7,1,4,8,2,3,5,6]=>[7,1,8,4,3,5,6,2]=>{{1,2,3,5,6,7,8},{4}}=>4
[7,1,4,6,2,3,8,5]=>[4,1,8,6,3,5,7,2]=>{{1,2,3,4,5,6,8},{7}}=>1
[8,1,6,5,2,3,4,7]=>[5,1,6,8,4,3,2,7]=>{{1,2,4,5,7,8},{3,6}}=>2
[7,1,8,5,2,3,4,6]=>[7,1,5,8,4,3,6,2]=>{{1,2,3,4,5,6,7,8}}=>0
[7,1,8,6,2,3,4,5]=>[7,1,6,8,4,5,3,2]=>{{1,2,3,4,5,6,7,8}}=>0
[6,1,4,5,2,8,3,7]=>[4,1,8,5,3,6,2,7]=>{{1,2,3,4,5,7,8},{6}}=>2
[8,1,4,6,2,7,3,5]=>[4,1,8,6,3,7,5,2]=>{{1,2,3,4,5,6,7,8}}=>0
[3,1,8,5,6,2,4,7]=>[5,1,3,8,6,4,2,7]=>{{1,2,4,5,6,7,8},{3}}=>5
[8,1,4,5,6,2,3,7]=>[4,1,8,5,6,3,2,7]=>{{1,2,3,4,5,6,7,8}}=>0
[8,1,4,5,7,2,3,6]=>[4,1,8,5,7,3,6,2]=>{{1,2,3,4,5,6,7,8}}=>0
[3,1,8,5,6,7,2,4]=>[5,1,3,8,6,7,4,2]=>{{1,2,4,5,6,7,8},{3}}=>5
[8,1,4,5,6,7,2,3]=>[4,1,8,5,6,7,3,2]=>{{1,2,3,4,5,6,7,8}}=>0
[2,8,1,3,4,7,5,6]=>[7,2,1,3,4,8,6,5]=>{{1,3,4,5,6,7,8},{2}}=>6
[2,8,1,3,6,7,4,5]=>[6,2,1,3,8,7,5,4]=>{{1,3,4,5,6,7,8},{2}}=>6
[2,4,1,8,3,7,5,6]=>[7,2,1,4,3,8,6,5]=>{{1,3,5,6,7,8},{2},{4}}=>9
[2,8,1,6,3,4,5,7]=>[6,2,1,8,4,5,3,7]=>{{1,3,4,5,6,7,8},{2}}=>6
[2,8,1,6,3,7,4,5]=>[6,2,1,8,4,7,5,3]=>{{1,3,4,5,6,7,8},{2}}=>6
[2,4,1,8,6,3,5,7]=>[6,2,1,4,8,5,3,7]=>{{1,3,5,6,7,8},{2},{4}}=>9
[2,8,1,5,6,7,3,4]=>[5,2,1,8,6,7,4,3]=>{{1,3,4,5,6,7,8},{2}}=>6
[7,3,1,2,4,5,8,6]=>[3,8,2,1,4,5,7,6]=>{{1,2,3,4,5,6,8},{7}}=>1
[6,3,1,2,4,8,5,7]=>[3,8,2,1,4,6,5,7]=>{{1,2,3,4,5,7,8},{6}}=>2
[8,3,1,2,4,7,5,6]=>[3,7,2,1,4,8,6,5]=>{{1,2,3,4,5,6,7,8}}=>0
[5,3,1,2,8,4,6,7]=>[3,8,2,1,5,4,6,7]=>{{1,2,3,4,6,7,8},{5}}=>3
[8,3,1,2,6,4,5,7]=>[3,6,2,1,8,5,4,7]=>{{1,2,3,4,5,6,7,8}}=>0
[5,3,1,2,8,7,4,6]=>[3,7,2,1,5,8,6,4]=>{{1,2,3,4,6,7,8},{5}}=>3
[7,4,1,2,3,5,8,6]=>[4,8,2,3,1,5,7,6]=>{{1,2,3,4,5,6,8},{7}}=>1
[6,4,1,2,3,8,5,7]=>[4,8,2,3,1,6,5,7]=>{{1,2,3,4,5,7,8},{6}}=>2
[8,6,1,2,3,7,4,5]=>[6,8,2,3,4,7,5,1]=>{{1,2,3,4,5,6,7,8}}=>0
[5,4,1,2,8,3,6,7]=>[4,8,2,3,5,1,6,7]=>{{1,2,3,4,6,7,8},{5}}=>3
[8,4,1,2,7,3,5,6]=>[4,7,2,3,8,5,6,1]=>{{1,2,3,4,5,6,7,8}}=>0
[5,8,1,2,7,3,4,6]=>[8,5,2,3,7,4,6,1]=>{{1,8},{2,3,4,5,6,7}}=>1
[5,8,1,2,6,7,3,4]=>[8,5,2,3,6,7,4,1]=>{{1,8},{2,3,4,5,6,7}}=>1
[4,3,1,8,2,7,5,6]=>[3,7,2,4,1,8,6,5]=>{{1,2,3,5,6,7,8},{4}}=>4
[8,3,1,6,2,4,5,7]=>[3,6,2,8,4,5,1,7]=>{{1,2,3,4,5,6,7,8}}=>0
[7,3,1,6,2,4,8,5]=>[3,6,2,8,4,5,7,1]=>{{1,2,3,4,5,6,8},{7}}=>1
[6,3,1,5,2,8,4,7]=>[3,5,2,8,4,6,1,7]=>{{1,2,3,4,5,7,8},{6}}=>2
[8,3,1,5,2,7,4,6]=>[3,5,2,7,4,8,6,1]=>{{1,2,3,4,5,6,7,8}}=>0
[8,3,1,6,2,7,4,5]=>[3,6,2,8,4,7,5,1]=>{{1,2,3,4,5,6,7,8}}=>0
[8,4,1,5,2,3,6,7]=>[4,8,2,5,3,1,6,7]=>{{1,2,3,4,5,6,7,8}}=>0
[8,4,1,6,2,3,5,7]=>[4,8,2,6,3,5,1,7]=>{{1,2,3,4,5,6,7,8}}=>0
[7,4,1,8,2,3,5,6]=>[7,8,2,4,3,5,6,1]=>{{1,2,3,5,6,7,8},{4}}=>4
[7,4,1,6,2,3,8,5]=>[4,8,2,6,3,5,7,1]=>{{1,2,3,4,5,6,8},{7}}=>1
[6,8,1,5,2,3,4,7]=>[6,5,2,8,4,3,1,7]=>{{1,2,3,4,5,6,7,8}}=>0
[8,4,1,6,2,7,3,5]=>[4,8,2,6,3,7,5,1]=>{{1,2,3,4,5,6,7,8}}=>0
[6,8,1,5,2,7,3,4]=>[6,5,2,8,4,7,3,1]=>{{1,2,3,4,5,6,7,8}}=>0
[8,3,1,5,6,2,4,7]=>[3,5,2,8,6,4,1,7]=>{{1,2,3,4,5,6,7,8}}=>0
[8,3,1,7,6,2,4,5]=>[3,6,2,7,8,5,4,1]=>{{1,2,3,5,6,8},{4,7}}=>1
[7,3,1,5,6,2,8,4]=>[3,5,2,8,6,4,7,1]=>{{1,2,3,4,5,6,8},{7}}=>1
[8,3,1,5,6,7,2,4]=>[3,5,2,8,6,7,4,1]=>{{1,2,3,4,5,6,7,8}}=>0
[2,3,8,1,4,7,5,6]=>[7,2,3,1,4,8,6,5]=>{{1,4,5,6,7,8},{2},{3}}=>10
[2,3,8,1,6,4,5,7]=>[6,2,3,1,8,5,4,7]=>{{1,4,5,6,7,8},{2},{3}}=>10
[2,3,8,1,7,4,5,6]=>[7,2,3,1,8,5,6,4]=>{{1,4,5,6,7,8},{2},{3}}=>10
[2,8,4,1,3,5,6,7]=>[4,2,8,3,1,5,6,7]=>{{1,3,4,5,6,7,8},{2}}=>6
[2,8,5,1,3,4,6,7]=>[5,2,8,3,4,1,6,7]=>{{1,3,4,5,6,7,8},{2}}=>6
[2,8,7,1,3,4,5,6]=>[7,2,8,3,4,5,6,1]=>{{1,3,4,5,6,7,8},{2}}=>6
[2,8,4,1,6,3,5,7]=>[4,2,6,3,8,5,1,7]=>{{1,3,4,5,6,7,8},{2}}=>6
[2,8,4,1,7,3,5,6]=>[4,2,7,3,8,5,6,1]=>{{1,3,4,5,6,7,8},{2}}=>6
[2,8,5,1,6,3,4,7]=>[5,2,8,3,6,4,1,7]=>{{1,3,4,5,6,7,8},{2}}=>6
[2,8,5,1,7,3,4,6]=>[5,2,8,3,7,4,6,1]=>{{1,3,4,5,6,7,8},{2}}=>6
[2,7,8,1,6,3,4,5]=>[7,2,6,3,8,5,4,1]=>{{1,3,4,5,6,7,8},{2}}=>6
[8,3,4,1,2,7,5,6]=>[3,7,4,2,1,8,6,5]=>{{1,2,3,4,5,6,7,8}}=>0
[6,3,5,1,2,8,4,7]=>[3,8,5,2,4,6,1,7]=>{{1,2,3,4,5,7,8},{6}}=>2
[8,3,5,1,2,7,4,6]=>[3,7,5,2,4,8,6,1]=>{{1,2,3,4,5,6,7,8}}=>0
[6,3,8,1,2,7,4,5]=>[6,8,3,2,4,7,5,1]=>{{1,2,4,5,6,7,8},{3}}=>5
[6,8,5,1,2,3,4,7]=>[6,5,8,3,4,2,1,7]=>{{1,2,3,4,5,6,7,8}}=>0
[6,7,5,1,2,3,8,4]=>[6,5,8,3,4,2,7,1]=>{{1,2,3,4,5,6,8},{7}}=>1
[8,5,4,1,2,7,3,6]=>[4,5,7,3,2,8,6,1]=>{{1,3,4,6,7,8},{2,5}}=>3
[7,3,4,1,6,2,8,5]=>[3,6,4,2,8,5,7,1]=>{{1,2,3,4,5,6,8},{7}}=>1
[7,3,5,1,6,2,8,4]=>[3,8,5,2,6,4,7,1]=>{{1,2,3,4,5,6,8},{7}}=>1
[5,3,4,1,8,7,2,6]=>[3,7,4,2,5,8,6,1]=>{{1,2,3,4,6,7,8},{5}}=>3
[8,3,4,1,6,7,2,5]=>[3,6,4,2,8,7,5,1]=>{{1,2,3,4,5,6,7,8}}=>0
[8,3,5,1,6,7,2,4]=>[3,8,5,2,6,7,4,1]=>{{1,2,3,4,5,6,7,8}}=>0
[2,3,8,5,1,4,6,7]=>[5,2,3,8,4,1,6,7]=>{{1,4,5,6,7,8},{2},{3}}=>10
[2,3,8,6,1,4,5,7]=>[6,2,3,8,4,5,1,7]=>{{1,4,5,6,7,8},{2},{3}}=>10
[2,3,8,5,1,7,4,6]=>[5,2,3,7,4,8,6,1]=>{{1,4,5,6,7,8},{2},{3}}=>10
[2,3,8,6,1,7,4,5]=>[6,2,3,8,4,7,5,1]=>{{1,4,5,6,7,8},{2},{3}}=>10
[2,7,4,8,1,3,5,6]=>[7,2,8,4,3,5,6,1]=>{{1,3,5,6,7,8},{2},{4}}=>9
[2,7,8,6,1,3,4,5]=>[7,2,6,8,4,5,3,1]=>{{1,3,4,5,6,7,8},{2}}=>6
[2,8,4,5,1,7,3,6]=>[4,2,7,5,3,8,6,1]=>{{1,3,4,5,6,7,8},{2}}=>6
[2,8,4,6,1,7,3,5]=>[4,2,8,6,3,7,5,1]=>{{1,3,4,5,6,7,8},{2}}=>6
[8,3,6,5,1,2,4,7]=>[3,6,5,8,4,2,1,7]=>{{1,3,4,5,7,8},{2,6}}=>2
[7,6,4,5,1,2,8,3]=>[4,5,8,6,3,2,7,1]=>{{1,2,3,4,5,6,8},{7}}=>1
[8,3,4,5,1,7,2,6]=>[3,7,4,5,2,8,6,1]=>{{1,2,3,4,5,6,7,8}}=>0
[2,8,4,5,6,1,3,7]=>[4,2,8,5,6,3,1,7]=>{{1,3,4,5,6,7,8},{2}}=>6
[2,8,4,5,7,1,3,6]=>[4,2,8,5,7,3,6,1]=>{{1,3,4,5,6,7,8},{2}}=>6
[8,3,4,5,7,1,2,6]=>[3,8,4,5,7,2,6,1]=>{{1,2,3,4,5,6,7,8}}=>0
[2,3,8,5,6,7,1,4]=>[5,2,3,8,6,7,4,1]=>{{1,4,5,6,7,8},{2},{3}}=>10
[2,8,4,5,6,7,1,3]=>[4,2,8,5,6,7,3,1]=>{{1,3,4,5,6,7,8},{2}}=>6
[3,5,2,6,4,1,8,7]=>[6,3,1,5,2,4,8,7]=>{{1,2,3,4,5,6},{7,8}}=>0
[3,5,2,7,4,8,1,6]=>[8,3,1,5,2,7,6,4]=>{{1,2,3,4,5,8},{6,7}}=>1
[3,5,2,7,4,8,6,1]=>[8,3,1,5,2,7,4,6]=>{{1,2,3,4,5,6,7,8}}=>0
[4,5,7,2,3,8,6,1]=>[8,5,4,2,1,7,3,6]=>{{1,2,3,4,5,6,7,8}}=>0
[4,5,7,2,3,8,1,6]=>[8,5,4,2,1,7,6,3]=>{{1,2,3,4,5,8},{6,7}}=>1
[4,5,6,2,3,1,8,7]=>[6,5,4,2,1,3,8,7]=>{{1,2,3,4,5,6},{7,8}}=>0
[4,5,6,3,1,2,8,7]=>[6,5,4,1,3,2,8,7]=>{{1,2,3,4,5,6},{7,8}}=>0
[4,5,7,3,2,8,6,1]=>[8,5,4,1,2,7,3,6]=>{{1,3,4,6,7,8},{2,5}}=>3
[4,6,7,3,8,2,5,1]=>[8,7,4,1,6,3,2,5]=>{{1,3,4,5,6,8},{2,7}}=>1
[4,6,7,3,8,2,1,5]=>[8,7,4,1,6,3,5,2]=>{{1,2,3,4,5,6,7,8}}=>0
[4,6,7,3,8,1,2,5]=>[8,7,4,1,6,5,3,2]=>{{1,2,3,4,7,8},{5,6}}=>2
[4,5,7,3,1,8,2,6]=>[8,5,4,1,3,7,6,2]=>{{1,2,3,4,5,8},{6,7}}=>1
[2,1,5,7,4,8,6,3]=>[2,1,8,5,3,7,4,6]=>{{1,2},{3,4,5,6,7,8}}=>0
[3,5,1,7,4,8,6,2]=>[8,3,2,5,1,7,4,6]=>{{1,4,5,6,7,8},{2,3}}=>5
[4,5,7,1,3,8,6,2]=>[8,5,4,3,1,7,2,6]=>{{1,2,5,6,7,8},{3,4}}=>4
[4,5,7,3,1,8,6,2]=>[8,5,4,1,3,7,2,6]=>{{1,2,3,4,5,6,7,8}}=>0
[4,6,7,3,8,5,2,1]=>[8,7,4,1,6,2,3,5]=>{{1,2,3,4,5,6,7,8}}=>0
[5,6,7,8,3,1,4,2]=>[8,7,6,5,2,4,1,3]=>{{1,2,3,4,5,6,7,8}}=>0
[5,6,7,8,1,3,4,2]=>[8,7,6,5,4,2,1,3]=>{{1,2,3,6,7,8},{4,5}}=>3
[4,6,7,1,8,3,5,2]=>[8,7,4,3,6,2,1,5]=>{{1,2,5,6,7,8},{3,4}}=>4
[3,6,1,7,8,4,5,2]=>[8,3,2,7,6,4,1,5]=>{{1,4,5,6,7,8},{2,3}}=>5
[2,1,6,7,8,4,5,3]=>[2,1,8,7,6,4,3,5]=>{{1,2},{3,4,5,6,7,8}}=>0
[4,6,7,2,8,3,1,5]=>[8,7,4,2,6,3,5,1]=>{{1,8},{2,3,4,5,6,7}}=>1
[4,6,7,2,8,3,5,1]=>[8,7,4,2,6,3,1,5]=>{{1,2,3,4,5,6,7,8}}=>0
[3,6,2,7,8,4,5,1]=>[8,3,1,7,6,4,2,5]=>{{1,2,3,4,5,6,7,8}}=>0
[3,5,2,7,1,8,6,4]=>[8,3,1,5,4,7,2,6]=>{{1,2,3,6,7,8},{4,5}}=>3
[3,6,2,7,8,1,5,4]=>[8,3,1,7,6,5,2,4]=>{{1,2,3,4,7,8},{5,6}}=>2
[3,6,2,7,8,5,1,4]=>[8,3,1,7,6,2,5,4]=>{{1,2,3,4,5,6,7,8}}=>0
[3,6,2,7,8,5,4,1]=>[8,3,1,7,6,2,4,5]=>{{1,2,3,5,6,8},{4,7}}=>1
[4,6,7,2,8,5,1,3]=>[8,7,4,2,6,1,5,3]=>{{1,2,3,4,5,6,7,8}}=>0
[4,6,7,2,8,1,5,3]=>[8,7,4,2,6,5,1,3]=>{{1,2,3,4,7,8},{5,6}}=>2
[5,6,7,8,2,4,1,3]=>[8,7,6,5,3,1,4,2]=>{{1,2,3,4,5,6,7,8}}=>0
[5,6,7,8,2,4,3,1]=>[8,7,6,5,3,1,2,4]=>{{1,3,4,5,6,8},{2,7}}=>1
[5,6,7,8,1,4,2,3]=>[8,7,6,5,4,1,3,2]=>{{1,2,3,6,7,8},{4,5}}=>3
[4,6,7,1,8,5,2,3]=>[8,7,4,3,6,1,5,2]=>{{1,2,5,6,7,8},{3,4}}=>4
[3,6,1,7,8,5,2,4]=>[8,3,2,7,6,1,5,4]=>{{1,4,5,6,7,8},{2,3}}=>5
[2,1,6,7,8,5,3,4]=>[2,1,8,7,6,3,5,4]=>{{1,2},{3,4,5,6,7,8}}=>0
[5,6,7,8,4,1,3,2]=>[8,7,6,5,1,4,2,3]=>{{1,3,4,5,6,8},{2,7}}=>1
[5,4,3,8,7,6,1,2]=>[3,5,7,4,6,8,2,1]=>{{1,2,3,5,6,7,8},{4}}=>4
[6,4,8,3,7,5,1,2]=>[6,8,4,1,7,2,5,3]=>{{1,2,3,4,6,8},{5,7}}=>1
[6,3,8,4,5,7,1,2]=>[4,5,3,6,8,7,2,1]=>{{1,2,4,5,6,7,8},{3}}=>5
[5,3,4,8,6,7,1,2]=>[3,8,5,4,6,7,2,1]=>{{1,2,3,5,6,7,8},{4}}=>4
[5,2,4,8,6,1,7,3]=>[2,5,7,4,6,3,8,1]=>{{1,2,3,5,6,7,8},{4}}=>4
[5,1,4,8,6,2,3,7]=>[5,1,8,4,6,3,2,7]=>{{1,2,3,5,6,7,8},{4}}=>4
[5,1,3,8,2,6,4,7]=>[3,1,6,5,4,8,2,7]=>{{1,2,3,6,7,8},{4,5}}=>3
[6,1,8,3,2,5,4,7]=>[8,1,6,2,4,3,5,7]=>{{1,2,4,5,7,8},{3,6}}=>2
[6,2,8,3,1,5,7,4]=>[2,7,6,1,4,3,8,5]=>{{1,2,4,5,7,8},{3,6}}=>2
[5,2,3,8,1,6,7,4]=>[2,3,6,5,4,7,8,1]=>{{1,2,3,6,7,8},{4,5}}=>3
[6,3,8,2,1,7,5,4]=>[6,8,3,1,4,7,2,5]=>{{1,2,4,5,6,7,8},{3}}=>5
[7,8,4,2,6,1,5,3]=>[6,4,7,2,8,5,1,3]=>{{1,3,5,6,7,8},{2,4}}=>4
[5,4,2,8,7,1,6,3]=>[5,8,1,4,7,3,2,6]=>{{1,2,3,5,6,7,8},{4}}=>4
[5,4,1,8,7,2,3,6]=>[5,8,2,4,7,3,6,1]=>{{1,2,3,5,6,7,8},{4}}=>4
[6,4,8,1,7,2,3,5]=>[6,8,4,3,7,5,2,1]=>{{1,2,5,6,7,8},{3,4}}=>4
[5,3,1,8,2,7,4,6]=>[3,7,2,5,4,8,6,1]=>{{1,2,3,6,7,8},{4,5}}=>3
[5,2,1,8,3,4,7,6]=>[2,7,1,5,4,3,8,6]=>{{1,2,3,6,7,8},{4,5}}=>3
[7,8,2,1,3,4,6,5]=>[8,7,1,3,4,5,2,6]=>{{1,3,4,5,6,8},{2,7}}=>1
[6,3,1,5,2,4,8,7]=>[3,5,2,6,4,1,8,7]=>{{1,2,3,4,5,6},{7,8}}=>0
[7,3,1,5,2,8,4,6]=>[3,5,2,8,4,7,6,1]=>{{1,2,3,4,5,8},{6,7}}=>1
[8,4,5,1,2,7,3,6]=>[4,7,5,3,2,8,6,1]=>{{1,2,3,4,5,6,7,8}}=>0
[7,4,5,1,2,8,3,6]=>[4,8,5,3,2,7,6,1]=>{{1,2,3,4,5,8},{6,7}}=>1
[6,4,5,1,2,3,8,7]=>[4,6,5,3,2,1,8,7]=>{{1,2,3,4,5,6},{7,8}}=>0
[5,6,4,1,2,3,8,7]=>[5,4,6,3,2,1,8,7]=>{{1,2,3,4,5,6},{7,8}}=>0
[6,7,4,1,8,2,3,5]=>[7,4,8,3,6,5,2,1]=>{{1,2,3,4,7,8},{5,6}}=>2
[5,7,4,1,2,8,3,6]=>[5,4,8,3,2,7,6,1]=>{{1,2,3,4,5,8},{6,7}}=>1
[2,1,8,5,3,7,4,6]=>[2,1,5,7,4,8,6,3]=>{{1,2},{3,4,5,6,7,8}}=>0
[3,8,1,5,2,7,4,6]=>[5,3,2,7,4,8,6,1]=>{{1,4,5,6,7,8},{2,3}}=>5
[5,8,4,1,2,7,3,6]=>[5,4,7,3,2,8,6,1]=>{{1,2,3,4,5,6,7,8}}=>0
[6,8,4,1,7,2,3,5]=>[6,4,8,3,7,5,2,1]=>{{1,2,3,4,5,6,7,8}}=>0
[8,7,4,1,6,2,3,5]=>[4,6,7,3,8,5,2,1]=>{{1,2,3,4,5,6,7,8}}=>0
[5,8,6,7,1,2,3,4]=>[8,5,7,6,4,3,2,1]=>{{1,8},{2,3,4,5,6,7}}=>1
[4,8,6,1,7,2,3,5]=>[8,4,6,3,7,5,2,1]=>{{1,8},{2,3,4,5,6,7}}=>1
[3,8,1,6,7,2,4,5]=>[6,3,2,8,7,5,4,1]=>{{1,4,5,6,7,8},{2,3}}=>5
[2,1,8,6,7,3,4,5]=>[2,1,6,8,7,5,4,3]=>{{1,2},{3,4,5,6,7,8}}=>0
[7,4,6,1,8,2,3,5]=>[4,8,7,3,6,5,2,1]=>{{1,2,3,4,7,8},{5,6}}=>2
[8,4,6,1,7,2,3,5]=>[4,8,6,3,7,5,2,1]=>{{1,2,3,4,5,6,7,8}}=>0
[8,3,1,6,7,2,4,5]=>[3,6,2,8,7,5,4,1]=>{{1,2,3,4,5,6,7,8}}=>0
[7,3,1,6,8,2,4,5]=>[3,7,2,8,6,5,4,1]=>{{1,2,3,4,7,8},{5,6}}=>2
[7,3,1,8,6,2,4,5]=>[3,7,2,6,8,5,4,1]=>{{1,2,3,4,5,6,7,8}}=>0
[8,4,7,1,6,2,3,5]=>[4,7,6,3,8,5,2,1]=>{{1,3,4,5,6,8},{2,7}}=>1
[5,4,8,1,2,7,3,6]=>[5,7,4,3,2,8,6,1]=>{{1,2,5,6,7,8},{3,4}}=>4
[7,5,8,6,1,2,3,4]=>[6,8,5,7,4,3,2,1]=>{{1,2,3,4,5,6,7,8}}=>0
[8,5,7,6,1,2,3,4]=>[5,8,6,7,4,3,2,1]=>{{1,2,4,5,7,8},{3,6}}=>2
[5,7,8,6,1,2,3,4]=>[8,6,5,7,4,3,2,1]=>{{1,8},{2,3,4,5,6,7}}=>1
[4,7,8,1,6,2,3,5]=>[7,6,4,3,8,5,2,1]=>{{1,2,5,6,7,8},{3,4}}=>4
[3,7,1,8,6,2,4,5]=>[7,3,2,6,8,5,4,1]=>{{1,4,5,6,7,8},{2,3}}=>5
[2,1,7,8,6,3,4,5]=>[2,1,7,6,8,5,4,3]=>{{1,2},{3,4,5,6,7,8}}=>0
[4,8,7,1,6,2,3,5]=>[7,4,6,3,8,5,2,1]=>{{1,2,3,4,5,6,7,8}}=>0
[6,8,7,5,1,2,3,4]=>[7,5,6,8,4,3,2,1]=>{{1,2,4,5,7,8},{3,6}}=>2
[6,4,7,3,8,5,1,2]=>[7,8,4,1,6,2,5,3]=>{{1,2,3,4,5,6,7,8}}=>0
[6,4,7,3,5,8,1,2]=>[5,7,4,1,8,6,3,2]=>{{1,2,3,4,5,7,8},{6}}=>2
[6,4,8,3,5,7,1,2]=>[5,6,4,1,8,7,3,2]=>{{1,2,3,4,5,6,7,8}}=>0
[7,8,4,2,5,1,6,3]=>[5,4,7,2,8,3,1,6]=>{{1,3,5,6,7,8},{2,4}}=>4
[6,3,8,2,1,5,4,7]=>[6,8,3,1,4,2,5,7]=>{{1,2,4,5,6,7,8},{3}}=>5
[7,8,3,2,1,5,4,6]=>[7,3,8,1,4,2,6,5]=>{{1,2,3,4,5,6,7,8}}=>0
[6,3,8,2,1,5,7,4]=>[6,7,3,1,4,2,8,5]=>{{1,2,4,5,6,7,8},{3}}=>5
[7,8,3,2,1,6,4,5]=>[6,3,7,1,4,8,5,2]=>{{1,2,3,4,5,6,7,8}}=>0
[7,8,3,2,1,4,6,5]=>[7,3,8,1,4,5,2,6]=>{{1,2,3,4,5,6,7,8}}=>0
[7,8,5,6,1,2,4,3]=>[6,5,8,7,4,3,1,2]=>{{1,2,3,4,5,6,7,8}}=>0
[7,8,4,1,6,2,5,3]=>[6,4,7,3,8,5,1,2]=>{{1,2,3,4,5,6,7,8}}=>0
[7,8,1,4,6,2,5,3]=>[6,4,2,7,8,5,1,3]=>{{1,2,3,4,5,6,7,8}}=>0
[7,8,1,3,2,6,5,4]=>[7,6,2,1,4,8,3,5]=>{{1,2,3,4,5,6,7,8}}=>0
[7,8,3,1,2,6,5,4]=>[6,3,7,2,4,8,1,5]=>{{1,2,3,4,5,6,7,8}}=>0
[7,8,3,4,6,5,1,2]=>[4,3,6,7,8,1,5,2]=>{{1,2,3,4,5,6,7,8}}=>0
[7,8,2,1,3,6,5,4]=>[7,6,1,3,4,8,2,5]=>{{1,2,3,4,5,6,7,8}}=>0
[7,8,1,2,3,6,5,4]=>[7,6,2,3,4,8,1,5]=>{{1,7},{2,3,4,5,6,8}}=>0
[6,1,8,2,3,7,5,4]=>[8,1,6,3,4,7,2,5]=>{{1,2,3,4,5,6,7,8}}=>0
[1,6,8,2,3,7,5,4]=>[1,8,6,3,4,7,2,5]=>{{1},{2,3,4,5,6,7,8}}=>0
[6,2,8,1,3,7,5,4]=>[2,8,6,3,4,7,1,5]=>{{1,2,3,4,5,6,7,8}}=>0
[2,6,8,1,3,7,5,4]=>[8,2,6,3,4,7,1,5]=>{{1,3,4,5,6,7,8},{2}}=>6
[3,5,4,8,7,6,1,2]=>[7,3,5,4,6,8,2,1]=>{{1,2,3,5,6,7,8},{4}}=>4
[5,6,8,7,3,4,1,2]=>[8,7,5,6,2,1,4,3]=>{{1,2,3,4,5,6,7,8}}=>0
[4,5,1,8,7,2,6,3]=>[8,5,2,4,7,3,1,6]=>{{1,2,3,5,6,7,8},{4}}=>4
[4,1,5,8,7,2,6,3]=>[8,1,5,4,7,3,2,6]=>{{1,2,3,5,6,7,8},{4}}=>4
[1,4,5,8,7,2,6,3]=>[1,8,5,4,7,3,2,6]=>{{1},{2,3,5,6,7,8},{4}}=>4
[3,6,8,1,2,7,5,4]=>[8,6,3,2,4,7,1,5]=>{{1,2,4,5,6,7,8},{3}}=>5
[4,6,8,2,7,1,5,3]=>[8,6,4,2,7,5,1,3]=>{{1,2,3,4,5,6,7,8}}=>0
[4,2,5,8,7,1,6,3]=>[2,8,5,4,7,3,1,6]=>{{1,2,3,5,6,7,8},{4}}=>4
[2,4,5,8,7,1,6,3]=>[8,2,5,4,7,3,1,6]=>{{1,3,5,6,7,8},{2},{4}}=>9
[6,1,3,2,5,4,8,7]=>[3,1,5,2,6,4,8,7]=>{{1,2,3,4,5,6},{7,8}}=>0
[7,1,3,2,5,4,8,6]=>[3,1,5,2,8,4,7,6]=>{{1,2,3,4,5,6,8},{7}}=>1
[8,1,3,2,5,4,7,6]=>[3,1,5,2,7,4,8,6]=>{{1,2,3,4,5,6,7,8}}=>0
[8,1,4,2,5,3,7,6]=>[4,1,5,3,7,2,8,6]=>{{1,2,3,4,5,6,7,8}}=>0
[7,1,4,2,5,3,8,6]=>[4,1,5,3,8,2,7,6]=>{{1,2,3,4,5,6,8},{7}}=>1
[6,1,4,2,5,3,8,7]=>[4,1,5,3,6,2,8,7]=>{{1,2,3,4,5,6},{7,8}}=>0
[5,2,6,1,4,3,8,7]=>[2,6,5,3,1,4,8,7]=>{{1,2,3,4,5,6},{7,8}}=>0
[5,2,7,1,4,3,8,6]=>[2,8,5,3,1,4,7,6]=>{{1,2,3,4,5,6,8},{7}}=>1
[5,2,8,1,4,3,7,6]=>[2,7,5,3,1,4,8,6]=>{{1,2,3,4,5,6,7,8}}=>0
[6,2,8,1,4,3,7,5]=>[2,7,6,3,1,5,8,4]=>{{1,2,3,4,5,6,7,8}}=>0
[6,2,7,1,4,3,8,5]=>[2,8,6,3,1,5,7,4]=>{{1,2,3,4,5,6,8},{7}}=>1
[2,1,8,3,5,4,7,6]=>[2,1,5,3,7,4,8,6]=>{{1,2},{3,4,5,6,7,8}}=>0
[3,1,8,2,5,4,7,6]=>[5,1,3,2,7,4,8,6]=>{{1,2,4,5,6,7,8},{3}}=>5
[4,1,8,2,5,3,7,6]=>[5,1,4,3,7,2,8,6]=>{{1,2,5,6,7,8},{3,4}}=>4
[8,1,5,3,7,2,6,4]=>[5,1,8,2,7,4,3,6]=>{{1,2,3,4,5,6,7,8}}=>0
[7,1,5,3,8,2,6,4]=>[7,1,8,2,5,4,3,6]=>{{1,2,3,4,6,7,8},{5}}=>3
[4,1,8,2,6,3,7,5]=>[6,1,4,3,7,5,8,2]=>{{1,2,5,6,7,8},{3,4}}=>4
[3,1,8,2,6,4,7,5]=>[6,1,3,2,7,5,8,4]=>{{1,2,4,5,6,7,8},{3}}=>5
[2,1,8,3,6,4,7,5]=>[2,1,6,3,7,5,8,4]=>{{1,2},{3,4,5,6,7,8}}=>0
[6,2,7,1,5,3,8,4]=>[2,6,5,3,8,4,7,1]=>{{1,2,3,4,5,6,8},{7}}=>1
[6,2,8,1,5,3,7,4]=>[2,6,5,3,7,4,8,1]=>{{1,2,3,4,5,6,7,8}}=>0
[8,1,5,2,6,3,7,4]=>[5,1,7,3,6,4,8,2]=>{{1,2,3,4,5,6,7,8}}=>0
[8,1,4,2,6,3,7,5]=>[4,1,6,3,7,5,8,2]=>{{1,2,3,4,5,6,7,8}}=>0
[8,1,3,2,6,4,7,5]=>[3,1,6,2,7,5,8,4]=>{{1,2,3,4,5,6,7,8}}=>0
[7,1,3,2,6,4,8,5]=>[3,1,6,2,8,5,7,4]=>{{1,2,3,4,5,6,8},{7}}=>1
[5,1,3,2,8,4,7,6]=>[3,1,7,2,5,4,8,6]=>{{1,2,3,4,6,7,8},{5}}=>3
[6,1,3,2,8,4,7,5]=>[3,1,7,2,6,5,8,4]=>{{1,2,3,4,7,8},{5,6}}=>2
[8,4,7,1,3,2,6,5]=>[4,8,7,3,1,5,2,6]=>{{1,2,3,4,5,6,7,8}}=>0
[7,4,8,1,3,2,6,5]=>[7,8,4,3,1,5,2,6]=>{{1,2,5,6,7,8},{3,4}}=>4
[7,3,8,1,4,2,6,5]=>[7,8,3,2,1,5,4,6]=>{{1,2,4,5,6,7,8},{3}}=>5
[8,3,7,1,4,2,6,5]=>[3,8,7,2,1,5,4,6]=>{{1,2,3,4,5,6,7,8}}=>0
[6,1,4,2,8,3,7,5]=>[4,1,7,3,6,5,8,2]=>{{1,2,3,4,7,8},{5,6}}=>2
[5,1,4,2,8,3,7,6]=>[4,1,7,3,5,2,8,6]=>{{1,2,3,4,6,7,8},{5}}=>3
[6,1,5,2,8,3,7,4]=>[6,1,7,3,5,4,8,2]=>{{1,2,3,4,6,7,8},{5}}=>3
[8,3,7,1,5,2,6,4]=>[3,7,5,2,8,4,1,6]=>{{1,2,3,4,5,6,7,8}}=>0
[7,3,8,1,5,2,6,4]=>[5,7,3,2,8,4,1,6]=>{{1,2,4,5,6,7,8},{3}}=>5
[8,3,7,2,6,1,5,4]=>[3,7,6,1,8,5,2,4]=>{{1,3,4,5,6,8},{2,7}}=>1
[2,1,7,4,8,3,6,5]=>[2,1,4,8,7,5,3,6]=>{{1,2},{3,4,5,6,7,8}}=>0
[3,1,7,4,8,2,6,5]=>[4,1,3,8,7,5,2,6]=>{{1,2,4,5,6,7,8},{3}}=>5
[4,1,7,3,8,2,6,5]=>[8,1,4,2,7,5,3,6]=>{{1,2,3,4,5,6,7,8}}=>0
[8,2,6,3,7,1,5,4]=>[2,6,8,1,7,5,3,4]=>{{1,2,3,4,5,6,7,8}}=>0
[7,2,6,3,8,1,5,4]=>[2,7,8,1,6,5,3,4]=>{{1,2,3,4,7,8},{5,6}}=>2
[5,7,3,8,2,4,6,1]=>[7,3,8,5,2,1,4,6]=>{{1,2,3,4,5,6,7,8}}=>0
[7,4,2,5,8,3,1,6]=>[4,8,1,7,5,2,6,3]=>{{1,2,3,4,6,7,8},{5}}=>3
[5,6,2,8,1,3,4,7]=>[8,6,1,5,4,3,2,7]=>{{1,2,3,6,7,8},{4,5}}=>3
[6,7,4,8,3,2,5,1]=>[7,6,8,4,1,3,2,5]=>{{1,2,3,5,6,7,8},{4}}=>4
[6,7,4,1,8,3,2,5]=>[7,4,8,3,6,2,5,1]=>{{1,2,3,4,5,6,7,8}}=>0
[7,4,5,3,1,8,2,6]=>[4,8,5,1,3,7,6,2]=>{{1,4},{2,8},{3,5},{6,7}}=>2
[4,7,1,5,8,3,2,6]=>[8,4,2,7,5,1,6,3]=>{{1,2,3,4,6,7,8},{5}}=>3
[7,3,5,8,1,4,6,2]=>[3,8,7,5,4,1,2,6]=>{{1,2,3,6,7,8},{4,5}}=>3
[7,4,1,5,8,3,6,2]=>[4,8,2,7,5,1,3,6]=>{{1,2,3,4,6,7,8},{5}}=>3
[5,6,1,7,3,8,4,2]=>[8,7,2,5,3,6,1,4]=>{{1,2,3,4,5,7,8},{6}}=>2
[5,1,6,7,3,8,4,2]=>[8,1,7,5,3,6,2,4]=>{{1,2,3,4,5,7,8},{6}}=>2
[6,1,7,4,8,3,2,5]=>[7,1,4,8,6,3,5,2]=>{{1,2,3,4,5,6,7,8}}=>0
[5,6,2,7,3,1,8,4]=>[8,6,1,5,3,4,7,2]=>{{1,2,3,4,5,6,8},{7}}=>1
[6,1,7,4,2,8,3,5]=>[7,1,4,8,3,6,5,2]=>{{1,2,3,4,5,7,8},{6}}=>2
[6,7,2,1,8,3,4,5]=>[8,7,1,3,6,5,4,2]=>{{1,2,3,4,7,8},{5,6}}=>2
[7,5,8,2,1,3,4,6]=>[7,8,5,2,4,3,6,1]=>{{1,2,3,4,5,6,7,8}}=>0
[5,7,3,1,8,2,4,6]=>[7,3,8,2,5,4,6,1]=>{{1,2,3,4,6,7,8},{5}}=>3
[6,7,4,2,8,3,1,5]=>[7,4,8,2,6,3,5,1]=>{{1,3,5,6,7,8},{2,4}}=>4
[3,6,7,2,8,4,1,5]=>[8,7,3,1,6,4,5,2]=>{{1,2,4,5,6,7,8},{3}}=>5
[5,7,3,8,2,1,4,6]=>[7,3,8,5,2,4,6,1]=>{{1,2,3,4,5,6,7,8}}=>0
[5,6,2,7,8,4,3,1]=>[8,7,1,6,5,2,3,4]=>{{1,2,3,4,6,7,8},{5}}=>3
[5,6,7,2,8,4,3,1]=>[8,7,6,2,5,1,3,4]=>{{1,2,3,4,6,7,8},{5}}=>3
[5,6,7,2,1,8,4,3]=>[8,7,5,2,4,6,1,3]=>{{1,2,3,4,5,7,8},{6}}=>2
[6,4,7,1,8,2,5,3]=>[7,8,4,3,6,5,1,2]=>{{1,7},{2,8},{3,4},{5,6}}=>4
[3,6,7,1,8,5,2,4]=>[8,7,3,2,6,1,5,4]=>{{1,2,4,5,6,7,8},{3}}=>5
[6,7,8,5,2,4,1,3]=>[7,6,5,8,3,1,4,2]=>{{1,2,4,6,7,8},{3,5}}=>3
[8,6,1,3,4,2,5,7]=>[6,8,2,1,3,5,4,7]=>{{1,2,3,4,5,6,7,8}}=>0
[8,3,2,5,1,6,4,7]=>[3,5,1,6,4,8,2,7]=>{{1,3},{2,4,5,6,7,8}}=>0
[8,5,3,6,2,4,1,7]=>[3,5,8,6,2,1,4,7]=>{{1,3,4,6,7,8},{2,5}}=>3
[7,2,4,5,8,3,6,1]=>[2,4,8,7,5,1,3,6]=>{{1,2,3,4,6,7,8},{5}}=>3
[8,2,4,5,6,1,3,7]=>[2,4,8,5,6,3,1,7]=>{{1,2,3,4,5,6,7,8}}=>0
[8,1,2,4,5,6,3,7]=>[4,1,2,5,6,8,3,7]=>{{1,2,3,4,5,6,7,8}}=>0
[8,2,5,1,3,6,4,7]=>[2,5,6,3,4,8,1,7]=>{{1,2,3,4,5,6,7,8}}=>0
[8,5,6,2,1,4,3,7]=>[5,8,6,2,4,1,3,7]=>{{1,2,3,4,5,6,7,8}}=>0
[8,5,3,6,4,1,2,7]=>[3,5,8,6,1,4,2,7]=>{{1,2,3,5,7,8},{4,6}}=>2
[7,5,8,2,1,4,6,3]=>[7,8,5,2,4,1,3,6]=>{{1,2,3,4,5,6,7,8}}=>0
[7,5,3,8,4,1,6,2]=>[3,7,8,5,1,4,2,6]=>{{1,3,4,5,6,8},{2,7}}=>1
[6,4,7,8,3,5,2,1]=>[7,8,6,4,1,2,3,5]=>{{1,2,3,5,6,7,8},{4}}=>4
[4,6,1,7,8,3,5,2]=>[8,7,2,4,6,3,1,5]=>{{1,2,3,5,6,7,8},{4}}=>4
[6,2,4,1,7,8,5,3]=>[2,4,8,3,7,6,1,5]=>{{1,2,3,4,5,7,8},{6}}=>2
[4,2,6,7,8,3,5,1]=>[2,8,7,4,6,3,1,5]=>{{1,2,3,5,6,7,8},{4}}=>4
[3,6,2,7,4,8,1,5]=>[8,3,1,7,2,6,5,4]=>{{1,2,3,4,5,7,8},{6}}=>2
[3,7,4,2,1,5,8,6]=>[8,3,4,1,2,5,7,6]=>{{1,2,3,4,5,6,8},{7}}=>1
[1,7,3,4,2,5,8,6]=>[1,3,4,8,2,5,7,6]=>{{1},{2,3,4,5,6,8},{7}}=>1
[4,7,2,1,3,5,8,6]=>[8,4,1,3,2,5,7,6]=>{{1,2,3,4,5,6,8},{7}}=>1
[7,8,1,3,4,2,6,5]=>[8,7,2,1,3,5,4,6]=>{{1,2,3,4,5,6,7,8}}=>0
[3,6,2,7,1,8,5,4]=>[8,3,1,7,4,6,2,5]=>{{1,2,3,4,5,7,8},{6}}=>2
[7,4,5,8,6,2,1,3]=>[5,8,6,4,7,2,3,1]=>{{1,2,3,5,6,7,8},{4}}=>4
[6,2,7,1,3,8,5,4]=>[2,8,7,3,4,6,1,5]=>{{1,2,3,4,5,7,8},{6}}=>2
[6,3,1,7,8,2,5,4]=>[3,8,2,7,6,5,1,4]=>{{1,2,3,4,7,8},{5,6}}=>2
[4,6,1,7,8,5,2,3]=>[8,7,2,4,6,1,5,3]=>{{1,2,3,5,6,7,8},{4}}=>4
[5,2,6,7,8,4,1,3]=>[2,8,7,6,5,1,4,3]=>{{1,2,3,4,6,7,8},{5}}=>3
[6,7,8,2,1,5,4,3]=>[8,7,6,2,4,1,3,5]=>{{1,2,3,4,5,6,7,8}}=>0
[6,7,3,8,5,1,4,2]=>[6,3,7,5,8,4,1,2]=>{{1,2,3,4,5,6,7,8}}=>0
[8,4,3,6,5,1,2,7]=>[3,4,6,5,8,2,1,7]=>{{1,2,3,4,5,6,7,8}}=>0
[4,6,2,7,3,5,1,8]=>[7,6,1,4,2,3,5,8]=>{{1,2,3,5,6,7},{4},{8}}=>3
[4,7,2,6,5,3,1,8]=>[6,4,1,5,7,2,3,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[8,7,5,4,1,3,2,6]=>[4,5,7,8,3,1,6,2]=>{{1,2,3,4,5,6,7,8}}=>0
[6,8,5,4,2,1,3,7]=>[5,4,6,8,2,3,1,7]=>{{1,2,4,5,7,8},{3,6}}=>2
[5,8,6,2,4,1,3,7]=>[8,5,6,2,1,4,3,7]=>{{1,2,3,4,5,6,7,8}}=>0
[5,1,6,2,4,8,7,3]=>[7,1,5,3,2,6,8,4]=>{{1,2,3,4,5,7,8},{6}}=>2
[7,1,5,4,8,2,6,3]=>[4,1,7,8,5,3,2,6]=>{{1,2,3,4,6,7,8},{5}}=>3
[8,1,5,4,7,6,2,3]=>[4,1,5,7,6,8,3,2]=>{{1,2,3,4,5,6,7,8}}=>0
[8,1,6,7,4,5,2,3]=>[6,1,8,7,2,3,5,4]=>{{1,2,3,4,5,6,7,8}}=>0
[7,1,6,8,4,2,5,3]=>[7,1,8,6,2,5,3,4]=>{{1,2,3,4,5,6,7,8}}=>0
[6,1,7,8,2,4,5,3]=>[8,1,7,6,4,3,2,5]=>{{1,2,3,4,5,6,7,8}}=>0
[7,8,6,1,4,2,3,5]=>[7,6,8,3,1,5,4,2]=>{{1,2,3,4,5,6,7,8}}=>0
[8,7,6,1,4,3,2,5]=>[6,7,8,3,1,4,5,2]=>{{1,2,3,4,5,6,7,8}}=>0
[8,6,7,1,3,4,2,5]=>[6,8,7,3,2,4,5,1]=>{{1,2,3,4,5,6,7,8}}=>0
[7,6,8,1,3,2,4,5]=>[7,8,6,3,2,5,4,1]=>{{1,2,3,4,5,6,7,8}}=>0
[5,7,8,2,1,3,4,6]=>[8,7,5,2,4,3,6,1]=>{{1,8},{2,3,4,5,6,7}}=>1
[4,7,2,8,1,3,5,6]=>[8,7,1,4,3,5,6,2]=>{{1,2,3,5,6,7,8},{4}}=>4
[3,2,6,8,4,1,5,7]=>[2,8,3,6,1,5,4,7]=>{{1,2,4,5,6,7,8},{3}}=>5
[7,5,8,3,1,2,4,6]=>[7,8,5,1,4,3,6,2]=>{{1,3,4,5,6,7},{2,8}}=>0
[1,5,7,3,8,4,6,2]=>[1,8,7,2,5,3,4,6]=>{{1},{2,3,4,6,7,8},{5}}=>3
[8,4,3,7,1,5,2,6]=>[3,4,8,7,2,1,6,5]=>{{1,2,3,4,5,6,7,8}}=>0
[6,4,3,8,2,1,5,7]=>[3,6,8,4,1,5,2,7]=>{{1,2,3,5,6,7,8},{4}}=>4
[7,4,3,1,8,2,6,5]=>[3,4,8,2,7,5,1,6]=>{{1,3,5,6,7,8},{2,4}}=>4
[1,5,8,3,7,6,4,2]=>[1,7,5,2,6,8,3,4]=>{{1},{2,3,4,5,6,7,8}}=>0
[8,5,1,3,7,6,2,4]=>[5,7,2,1,6,8,4,3]=>{{1,2,3,4,5,6,7,8}}=>0
[7,5,1,3,8,2,6,4]=>[7,8,2,1,5,4,3,6]=>{{1,2,3,4,6,7,8},{5}}=>3
[4,6,2,1,3,8,7,5]=>[7,4,1,3,2,6,8,5]=>{{1,2,3,4,5,7,8},{6}}=>2
[3,2,7,1,8,4,6,5]=>[2,8,3,1,7,5,4,6]=>{{1,2,4,5,6,7,8},{3}}=>5
[4,7,2,1,8,3,6,5]=>[8,4,1,3,7,5,2,6]=>{{1,2,3,4,5,6,7,8}}=>0
[5,7,1,2,8,3,6,4]=>[8,7,2,3,5,4,1,6]=>{{1,2,3,4,6,7,8},{5}}=>3
[7,6,1,8,3,2,5,4]=>[7,8,2,6,3,5,1,4]=>{{1,7},{2,3,4,5,6,8}}=>0
[8,6,1,7,3,5,2,4]=>[6,8,2,7,3,1,5,4]=>{{1,6},{2,3,4,5,7,8}}=>0
[1,7,8,6,5,3,4,2]=>[1,6,5,7,8,3,2,4]=>{{1},{2,3,4,5,6,7,8}}=>0
[7,8,1,6,5,2,3,4]=>[6,5,2,7,8,4,3,1]=>{{1,2,3,4,5,6,7,8}}=>0
[5,8,1,2,7,6,3,4]=>[7,5,2,3,6,8,4,1]=>{{1,2,3,4,5,6,7,8}}=>0
[4,8,2,1,7,6,3,5]=>[6,4,1,3,7,8,5,2]=>{{1,2,3,4,6,8},{5,7}}=>1
[4,1,2,8,7,6,5,3]=>[6,1,2,4,7,8,3,5]=>{{1,2,3,5,6,7,8},{4}}=>4
[6,1,8,7,2,5,4,3]=>[8,1,6,7,4,2,3,5]=>{{1,2,3,4,5,6,7,8}}=>0
[8,1,7,6,5,4,2,3]=>[5,1,6,7,8,2,4,3]=>{{1,2,3,5,6,8},{4,7}}=>1
[1,6,5,3,4,8,7,2]=>[1,5,7,2,3,6,8,4]=>{{1},{2,3,4,5,7,8},{6}}=>2
[6,5,1,2,3,8,7,4]=>[5,7,2,3,4,6,8,1]=>{{1,2,3,4,5,7,8},{6}}=>2
[6,4,1,2,3,8,7,5]=>[4,7,2,3,1,6,8,5]=>{{1,2,3,4,5,7,8},{6}}=>2
[5,4,1,2,7,3,6,8]=>[4,7,2,3,5,1,6,8]=>{{1,2,3,4,6,7},{5},{8}}=>2
[6,4,1,7,2,3,5,8]=>[6,7,2,4,3,5,1,8]=>{{1,2,3,5,6,7},{4},{8}}=>3
[6,4,1,8,2,3,5,7]=>[6,8,2,4,3,5,1,7]=>{{1,2,3,5,6,7,8},{4}}=>4
[7,4,1,2,8,3,6,5]=>[4,8,2,3,7,5,1,6]=>{{1,2,3,4,5,6,7,8}}=>0
[7,1,5,2,8,4,6,3]=>[7,1,8,3,5,2,4,6]=>{{1,2,3,4,6,7,8},{5}}=>3
[8,1,5,2,7,4,6,3]=>[5,1,8,3,7,2,4,6]=>{{1,2,3,4,5,6,7,8}}=>0
[8,4,1,7,2,3,5,6]=>[4,8,2,7,3,5,6,1]=>{{1,2,3,4,5,6,7,8}}=>0
[7,4,1,6,2,3,5,8]=>[4,7,2,6,3,5,1,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[8,1,6,7,2,4,5,3]=>[6,1,8,7,4,3,2,5]=>{{1,2,3,4,5,6,7,8}}=>0
[3,1,7,2,8,4,6,5]=>[8,1,3,2,7,5,4,6]=>{{1,2,4,5,6,7,8},{3}}=>5
[1,4,3,8,7,5,6,2]=>[1,3,7,4,8,2,5,6]=>{{1},{2,3,5,6,7,8},{4}}=>4
[4,1,2,8,7,5,6,3]=>[7,1,2,4,8,3,5,6]=>{{1,2,3,5,6,7,8},{4}}=>4
[3,1,8,7,2,4,5,6]=>[7,1,3,8,4,5,6,2]=>{{1,2,4,5,6,7,8},{3}}=>5
[4,8,1,7,2,3,5,6]=>[8,4,2,7,3,5,6,1]=>{{1,8},{2,3,4,5,6,7}}=>1
[5,8,1,2,7,3,6,4]=>[8,5,2,3,7,4,1,6]=>{{1,2,3,4,5,6,7,8}}=>0
[1,5,8,3,7,4,6,2]=>[1,8,5,2,7,3,4,6]=>{{1},{2,3,4,5,6,7,8}}=>0
[1,6,8,7,3,4,5,2]=>[1,8,6,7,3,4,2,5]=>{{1},{2,3,4,5,6,7,8}}=>0
[6,1,8,7,2,4,5,3]=>[8,1,6,7,4,3,2,5]=>{{1,2,4,5,7,8},{3,6}}=>2
[6,8,1,7,2,3,5,4]=>[8,6,2,7,4,5,1,3]=>{{1,2,3,4,5,6,7,8}}=>0
[6,8,7,1,2,3,4,5]=>[8,6,7,3,4,5,2,1]=>{{1,8},{2,3,4,5,6,7}}=>1
[5,8,7,1,2,3,4,6]=>[8,5,7,3,4,2,6,1]=>{{1,8},{2,3,4,5,6,7}}=>1
[7,8,1,6,2,3,5,4]=>[7,6,2,8,4,5,1,3]=>{{1,7},{2,3,4,5,6,8}}=>0
[1,8,7,6,3,4,5,2]=>[1,6,7,8,3,4,2,5]=>{{1},{2,3,4,5,6,7,8}}=>0
[8,7,1,6,2,3,5,4]=>[6,7,2,8,4,5,1,3]=>{{1,2,3,4,5,6,7,8}}=>0
[4,1,6,3,7,5,8,2]=>[8,1,4,2,6,3,7,5]=>{{1,2,3,4,5,6,8},{7}}=>1
[4,2,6,3,7,5,8,1]=>[2,8,4,1,6,3,7,5]=>{{1,2,3,4,5,6,8},{7}}=>1
[8,3,7,5,2,4,6,1]=>[3,7,5,8,2,1,4,6]=>{{1,2,3,4,5,6,7,8}}=>0
[8,2,4,5,7,3,6,1]=>[2,4,8,5,7,1,3,6]=>{{1,2,3,4,5,6,7,8}}=>0
[8,2,4,6,5,3,1,7]=>[2,4,6,5,8,1,3,7]=>{{1,2,3,4,5,6,7,8}}=>0
[8,5,7,4,3,2,6,1]=>[4,7,5,8,1,2,3,6]=>{{1,2,3,4,5,6,7,8}}=>0
[4,6,8,3,2,7,5,1]=>[8,6,4,1,2,7,3,5]=>{{1,2,3,4,5,6,7,8}}=>0
[4,7,6,3,2,8,1,5]=>[8,4,7,1,2,6,5,3]=>{{1,2,3,4,5,7,8},{6}}=>2
[3,7,5,1,4,2,8,6]=>[8,3,5,2,1,4,7,6]=>{{1,2,3,4,5,6,8},{7}}=>1
[8,5,7,4,2,1,6,3]=>[4,7,5,8,2,3,1,6]=>{{1,2,3,4,5,6,7,8}}=>0
[8,3,7,5,1,4,6,2]=>[3,7,5,8,4,1,2,6]=>{{1,3,4,5,6,8},{2,7}}=>1
[8,4,7,6,3,5,2,1]=>[4,8,6,7,1,2,3,5]=>{{1,2,3,4,5,6,7,8}}=>0
[3,6,5,8,7,4,1,2]=>[8,3,7,5,6,1,4,2]=>{{1,2,3,4,5,6,7,8}}=>0
[3,1,5,8,6,7,4,2]=>[8,1,3,5,6,7,2,4]=>{{1,2,4,5,6,7,8},{3}}=>5
[8,2,6,1,4,7,5,3]=>[2,6,8,3,1,7,4,5]=>{{1,2,3,4,5,6,7,8}}=>0
[2,7,6,8,1,4,3,5]=>[7,2,8,6,4,3,5,1]=>{{1,3,4,5,6,7,8},{2}}=>6
[1,7,3,5,6,8,2,4]=>[1,3,5,8,7,6,4,2]=>{{1},{2,3,4,5,7,8},{6}}=>2
[3,8,2,4,6,7,5,1]=>[4,3,1,6,8,7,2,5]=>{{1,2,3,4,6,7},{5,8}}=>0
[8,5,7,3,2,1,6,4]=>[5,8,7,1,3,4,2,6]=>{{1,2,3,4,5,6,7,8}}=>0
[8,3,6,7,2,1,5,4]=>[3,8,6,7,2,5,1,4]=>{{1,2,3,4,5,6,7,8}}=>0
[2,7,4,8,1,6,5,3]=>[6,2,7,4,3,8,1,5]=>{{1,3,5,6,7,8},{2},{4}}=>9
[4,6,8,2,1,7,5,3]=>[8,6,4,2,3,7,1,5]=>{{1,2,3,4,5,6,7,8}}=>0
[8,5,3,7,1,6,2,4]=>[3,5,7,6,4,8,2,1]=>{{1,2,3,4,5,6,7,8}}=>0
[8,5,7,2,1,3,6,4]=>[5,8,7,2,4,3,1,6]=>{{1,2,3,4,5,6,7,8}}=>0
[8,2,6,7,1,3,5,4]=>[2,6,8,7,4,5,1,3]=>{{1,2,4,5,6,7},{3,8}}=>0
[4,6,1,8,7,2,5,3]=>[8,6,2,4,7,5,1,3]=>{{1,2,3,5,6,7,8},{4}}=>4
[8,1,2,5,6,7,4,3]=>[5,1,2,8,6,7,3,4]=>{{1,2,3,5,6,7},{4,8}}=>0
[2,1,7,8,5,6,4,3]=>[2,1,6,5,7,8,3,4]=>{{1,2},{3,4,5,6,7,8}}=>0
[8,2,5,7,6,4,3,1]=>[2,5,8,6,7,1,3,4]=>{{1,2,3,4,5,6,7,8}}=>0
[1,7,2,5,8,6,4,3]=>[1,6,2,7,5,8,3,4]=>{{1},{2,3,4,6,7,8},{5}}=>3
[1,7,4,8,2,6,5,3]=>[1,6,7,4,3,8,2,5]=>{{1},{2,3,5,6,7,8},{4}}=>4
[3,7,8,1,6,5,2,4]=>[7,6,3,2,8,1,5,4]=>{{1,2,4,5,6,7,8},{3}}=>5
[8,7,6,3,5,1,4,2]=>[5,6,7,1,8,4,2,3]=>{{1,2,3,4,5,6,7,8}}=>0
[8,4,7,6,5,1,3,2]=>[4,7,5,6,8,3,1,2]=>{{1,2,3,4,5,6,7,8}}=>0
[8,7,1,5,6,4,3,2]=>[5,6,2,8,7,1,3,4]=>{{1,2,3,5,6,7},{4,8}}=>0
[8,1,6,7,5,4,3,2]=>[5,1,7,6,8,2,3,4]=>{{1,2,4,5,6,8},{3,7}}=>1
[4,6,3,5,1,2,8,7]=>[4,3,6,5,2,1,8,7]=>{{1,2,3,4,5,6},{7,8}}=>0
[6,8,1,4,5,7,3,2]=>[5,4,2,6,8,7,1,3]=>{{1,2,3,4,5,6,7,8}}=>0
[3,6,2,4,5,1,8,7]=>[4,3,1,5,6,2,8,7]=>{{1,2,3,4,5,6},{7,8}}=>0
[6,1,2,4,5,3,8,7]=>[4,1,2,5,6,3,8,7]=>{{1,2,3,4,5,6},{7,8}}=>0
[6,3,1,4,5,2,8,7]=>[3,4,2,5,6,1,8,7]=>{{1,2,3,4,5,6},{7,8}}=>0
[8,3,7,4,5,1,2,6]=>[3,5,4,7,8,2,6,1]=>{{1,2,3,4,5,6,7,8}}=>0
[5,8,7,4,2,6,3,1]=>[6,4,5,7,2,8,1,3]=>{{1,2,3,4,5,6,7,8}}=>0
[2,8,7,4,1,6,3,5]=>[4,2,6,7,3,8,5,1]=>{{1,3,4,5,6,7,8},{2}}=>6
[8,1,7,4,2,6,3,5]=>[4,1,6,7,3,8,5,2]=>{{1,2,3,4,5,6,7,8}}=>0
[2,1,6,8,5,7,3,4]=>[2,1,6,5,8,7,4,3]=>{{1,2},{3,4,5,6,7,8}}=>0
[5,6,3,8,1,7,2,4]=>[6,3,8,5,4,7,2,1]=>{{1,2,3,6,7,8},{4,5}}=>3
[3,7,6,4,5,8,2,1]=>[5,3,4,7,8,6,1,2]=>{{1,2,3,4,5,7,8},{6}}=>2
[2,4,8,3,5,6,7,1]=>[5,2,4,1,6,7,8,3]=>{{1,3,4,5,6,7,8},{2}}=>6
[4,1,8,3,5,6,7,2]=>[5,1,4,2,6,7,8,3]=>{{1,2,3,4,5,6,7,8}}=>0
[3,8,4,2,5,6,7,1]=>[5,3,4,1,6,7,8,2]=>{{1,2,3,4,5,6,7,8}}=>0
[8,4,1,3,5,6,7,2]=>[4,5,2,1,6,7,8,3]=>{{1,4},{2,3,5,6,7,8}}=>0
[6,5,3,8,4,1,7,2]=>[3,6,7,5,1,4,8,2]=>{{1,2,3,4,5,6,7,8}}=>0
[2,1,5,8,4,6,7,3]=>[2,1,6,5,3,7,8,4]=>{{1,2},{3,4,5,6,7,8}}=>0
[6,4,3,8,2,1,7,5]=>[3,6,7,4,1,5,8,2]=>{{1,2,3,5,6,7,8},{4}}=>4
[8,3,1,2,5,6,7,4]=>[3,5,2,1,6,7,8,4]=>{{1,2,3,4,5,6,7,8}}=>0
[3,1,8,2,5,6,7,4]=>[5,1,3,2,6,7,8,4]=>{{1,2,4,5,6,7,8},{3}}=>5
[2,3,8,1,5,6,7,4]=>[5,2,3,1,6,7,8,4]=>{{1,4,5,6,7,8},{2},{3}}=>10
[4,8,2,3,5,6,7,1]=>[5,4,1,2,6,7,8,3]=>{{1,3,5,6,7,8},{2,4}}=>4
[3,8,2,1,5,6,7,4]=>[5,3,1,2,6,7,8,4]=>{{1,2,3,4,5,6,7,8}}=>0
[2,8,1,3,5,6,7,4]=>[5,2,1,3,6,7,8,4]=>{{1,3,4,5,6,7,8},{2}}=>6
[8,1,2,3,5,6,7,4]=>[5,1,2,3,6,7,8,4]=>{{1,2,3,4,5,6,7,8}}=>0
[6,8,3,2,4,1,7,5]=>[6,3,7,1,2,5,8,4]=>{{1,2,3,4,5,6,7,8}}=>0
[2,1,8,3,4,6,7,5]=>[2,1,6,3,4,7,8,5]=>{{1,2},{3,4,5,6,7,8}}=>0
[7,1,8,4,5,3,2,6]=>[5,1,4,7,8,2,6,3]=>{{1,2,3,4,5,6,7,8}}=>0
[2,7,8,4,5,3,1,6]=>[5,2,4,7,8,1,6,3]=>{{1,3,4,5,6,7,8},{2}}=>6
[3,8,7,4,2,6,1,5]=>[6,3,4,7,1,8,5,2]=>{{1,2,3,4,5,6,7,8}}=>0
[5,7,8,4,3,6,2,1]=>[6,5,4,7,1,8,2,3]=>{{1,2,3,4,5,6,7,8}}=>0
[5,6,3,8,4,2,7,1]=>[6,3,7,5,1,2,8,4]=>{{1,2,3,4,5,6,7,8}}=>0
[8,6,3,1,4,2,7,5]=>[3,6,7,2,1,5,8,4]=>{{1,2,3,4,5,6,7,8}}=>0
[7,5,3,8,2,4,1,6]=>[3,7,8,5,2,1,6,4]=>{{1,2,3,4,5,6,7,8}}=>0
[8,6,3,5,1,2,7,4]=>[3,5,6,7,4,2,8,1]=>{{1,2,3,4,5,6,7,8}}=>0
[3,5,8,4,7,6,2,1]=>[5,4,3,7,6,8,1,2]=>{{1,2,4,5,6,7,8},{3}}=>5
[5,8,2,4,7,6,1,3]=>[5,4,1,7,6,8,3,2]=>{{1,2,3,4,5,6,7,8}}=>0
[8,7,5,4,1,6,2,3]=>[4,5,6,7,3,8,2,1]=>{{1,2,3,4,5,6,7,8}}=>0
[7,1,6,4,5,8,2,3]=>[4,1,5,7,8,6,3,2]=>{{1,2,3,4,5,7,8},{6}}=>2
[5,7,3,6,1,8,2,4]=>[5,3,8,7,4,6,2,1]=>{{1,2,3,4,5,7,8},{6}}=>2
[2,1,8,5,3,6,7,4]=>[2,1,5,6,4,7,8,3]=>{{1,2},{3,4,5,6,7,8}}=>0
[6,8,3,5,2,1,7,4]=>[5,3,6,7,2,4,8,1]=>{{1,2,3,4,5,6,7,8}}=>0
[7,8,5,4,2,6,1,3]=>[5,4,6,7,2,8,3,1]=>{{1,2,3,4,5,6,7,8}}=>0
[8,1,4,2,5,6,7,3]=>[4,1,5,3,6,7,8,2]=>{{1,2,3,4,5,6,7,8}}=>0
[2,8,4,1,5,6,7,3]=>[4,2,5,3,6,7,8,1]=>{{1,3,4,5,6,7,8},{2}}=>6
[3,4,2,8,5,6,7,1]=>[5,3,1,4,6,7,8,2]=>{{1,2,3,5,6,7,8},{4}}=>4
[2,4,1,8,5,6,7,3]=>[5,2,1,4,6,7,8,3]=>{{1,3,5,6,7,8},{2},{4}}=>9
[4,1,2,8,5,6,7,3]=>[5,1,2,4,6,7,8,3]=>{{1,2,3,5,6,7,8},{4}}=>4
[6,5,3,2,8,1,7,4]=>[3,6,7,1,5,4,8,2]=>{{1,2,3,4,6,7,8},{5}}=>3
[7,3,5,4,8,6,1,2]=>[3,6,4,7,5,8,2,1]=>{{1,2,3,4,6,7,8},{5}}=>3
[8,3,4,1,5,6,7,2]=>[3,5,4,2,6,7,8,1]=>{{1,2,3,4,5,6,7,8}}=>0
[4,3,1,8,5,6,7,2]=>[3,5,2,4,6,7,8,1]=>{{1,2,3,5,6,7,8},{4}}=>4
[6,5,3,7,2,8,4,1]=>[3,7,8,5,2,6,1,4]=>{{1,2,3,4,5,7,8},{6}}=>2
[5,1,7,4,8,6,3,2]=>[6,1,4,7,5,8,2,3]=>{{1,2,3,4,6,7,8},{5}}=>3
[3,8,7,4,5,2,1,6]=>[5,3,4,7,8,1,6,2]=>{{1,2,3,4,5,6,7,8}}=>0
[3,7,5,4,8,6,2,1]=>[6,3,4,7,5,8,1,2]=>{{1,2,3,4,6,7,8},{5}}=>3
[5,6,3,1,8,2,7,4]=>[6,3,7,2,5,4,8,1]=>{{1,2,3,4,6,7,8},{5}}=>3
[4,6,3,8,1,2,7,5]=>[6,3,7,4,2,5,8,1]=>{{1,2,3,5,6,7,8},{4}}=>4
[4,2,6,5,3,8,1,7]=>[2,8,4,5,1,6,3,7]=>{{1,2,3,4,5,7,8},{6}}=>2
[4,6,1,5,3,8,2,7]=>[8,4,2,5,1,6,3,7]=>{{1,2,3,4,5,7,8},{6}}=>2
[1,4,7,5,8,3,2,6]=>[1,8,4,7,5,2,6,3]=>{{1},{2,3,4,6,7,8},{5}}=>3
[7,2,5,8,4,1,3,6]=>[2,7,8,5,1,4,6,3]=>{{1,2,4,5,6,7},{3,8}}=>0
[1,5,4,8,7,3,6,2]=>[1,5,8,4,7,2,3,6]=>{{1},{2,3,5,6,7,8},{4}}=>4
[6,4,3,8,1,7,5,2]=>[3,6,8,4,2,7,1,5]=>{{1,2,3,5,6,7,8},{4}}=>4
[5,3,8,7,6,4,2,1]=>[5,8,3,6,7,1,2,4]=>{{1,2,4,5,6,7,8},{3}}=>5
[6,2,8,7,4,5,1,3]=>[2,8,6,7,1,3,5,4]=>{{1,2,4,5,7,8},{3,6}}=>2
[7,6,2,8,4,1,3,5]=>[7,8,1,6,2,5,4,3]=>{{1,2,3,4,5,6,7,8}}=>0
[7,3,1,6,8,4,2,5]=>[3,7,2,8,6,4,5,1]=>{{1,2,3,4,5,6,7,8}}=>0
[7,6,5,3,2,1,8,4]=>[5,6,8,1,3,4,7,2]=>{{1,2,3,4,5,6,8},{7}}=>1
[5,2,7,4,1,8,3,6]=>[2,5,4,8,3,7,6,1]=>{{1,2,3,4,5,8},{6,7}}=>1
[3,8,6,2,4,7,5,1]=>[8,3,6,1,2,7,4,5]=>{{1,2,3,4,5,6,7,8}}=>0
[7,3,6,2,4,1,8,5]=>[3,8,6,1,2,5,7,4]=>{{1,2,3,4,5,6,8},{7}}=>1
[8,3,7,1,4,6,2,5]=>[3,7,6,2,1,8,5,4]=>{{1,2,3,4,5,6,7,8}}=>0
[8,3,6,2,7,1,5,4]=>[3,8,6,1,7,5,2,4]=>{{1,2,3,4,5,6,7,8}}=>0
[7,8,3,6,2,1,5,4]=>[6,3,7,8,2,5,1,4]=>{{1,2,3,5,6,7},{4,8}}=>0
[8,7,3,6,2,5,4,1]=>[3,6,7,8,2,1,4,5]=>{{1,2,3,4,5,6,7,8}}=>0
[4,7,8,2,1,6,5,3]=>[7,6,4,2,3,8,1,5]=>{{1,7},{2,3,4,5,6,8}}=>0
[4,2,6,8,1,7,5,3]=>[2,8,6,4,3,7,1,5]=>{{1,2,3,5,6,7,8},{4}}=>4
[4,8,1,5,7,2,6,3]=>[8,4,2,5,7,3,1,6]=>{{1,2,3,4,5,6,7,8}}=>0
[5,8,7,2,6,1,3,4]=>[8,5,6,2,7,4,3,1]=>{{1,8},{2,3,4,5,6,7}}=>1
[8,6,2,7,5,1,3,4]=>[5,7,1,6,8,4,3,2]=>{{1,2,3,5,7,8},{4,6}}=>2
[5,1,6,8,2,7,4,3]=>[8,1,6,5,4,7,2,3]=>{{1,2,3,6,7,8},{4,5}}=>3
[6,5,2,8,1,7,4,3]=>[6,8,1,5,4,7,2,3]=>{{1,2,3,6,7,8},{4,5}}=>3
[5,8,2,7,6,4,3,1]=>[8,5,1,6,7,2,3,4]=>{{1,2,3,4,5,6,7,8}}=>0
[6,2,8,7,5,4,3,1]=>[2,7,5,6,8,1,3,4]=>{{1,2,3,4,5,6,7,8}}=>0
[7,5,1,8,2,6,4,3]=>[6,7,2,5,4,8,1,3]=>{{1,2,3,6,7,8},{4,5}}=>3
[7,8,3,1,6,5,2,4]=>[6,3,7,2,8,1,5,4]=>{{1,6},{2,3,4,5,7,8}}=>0
[8,5,7,1,6,4,3,2]=>[5,8,6,3,7,1,2,4]=>{{1,2,3,4,5,6,7,8}}=>0
[6,8,1,7,5,4,3,2]=>[7,5,2,6,8,1,3,4]=>{{1,2,3,4,5,6,7,8}}=>0
[5,4,2,3,7,6,1,8]=>[4,6,1,2,5,7,3,8]=>{{1,2,3,4,6,7},{5},{8}}=>2
[8,4,2,6,3,1,5,7]=>[4,8,1,6,2,5,3,7]=>{{1,2,3,4,5,6,7,8}}=>0
[4,7,2,6,3,5,1,8]=>[7,4,1,6,2,3,5,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[5,7,6,2,3,4,1,8]=>[7,5,6,2,3,1,4,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[1,6,5,2,3,8,4,7]=>[1,5,8,3,4,6,2,7]=>{{1},{2,3,4,5,7,8},{6}}=>2
[1,7,5,2,8,3,4,6]=>[1,7,8,3,5,4,6,2]=>{{1},{2,3,4,6,7,8},{5}}=>3
[6,8,5,2,3,1,4,7]=>[6,5,8,2,3,4,1,7]=>{{1,2,3,4,5,6,7,8}}=>0
[7,1,5,2,8,3,4,6]=>[7,1,8,3,5,4,6,2]=>{{1,2,3,4,6,7,8},{5}}=>3
[1,8,5,2,7,3,4,6]=>[1,5,8,3,7,4,6,2]=>{{1},{2,3,4,5,6,7,8}}=>0
[1,8,6,7,2,3,4,5]=>[1,6,8,7,4,5,3,2]=>{{1},{2,3,4,5,6,7,8}}=>0
[8,1,6,7,2,3,4,5]=>[6,1,8,7,4,5,3,2]=>{{1,2,3,4,5,6,7,8}}=>0
[3,2,8,7,1,4,5,6]=>[2,7,3,8,4,5,6,1]=>{{1,2,4,5,6,7,8},{3}}=>5
[6,5,8,2,3,1,4,7]=>[6,8,5,2,3,4,1,7]=>{{1,2,4,6,7,8},{3,5}}=>3
[6,4,2,8,3,1,5,7]=>[6,8,1,4,2,5,3,7]=>{{1,2,3,5,6,7,8},{4}}=>4
[5,4,2,3,8,1,6,7]=>[4,8,1,2,5,3,6,7]=>{{1,2,3,4,6,7,8},{5}}=>3
[1,4,2,8,7,3,5,6]=>[1,7,2,4,8,5,6,3]=>{{1},{2,3,5,6,7,8},{4}}=>4
[8,5,1,2,7,3,4,6]=>[5,8,2,3,7,4,6,1]=>{{1,2,3,4,5,6,7,8}}=>0
[7,5,1,2,8,3,4,6]=>[7,8,2,3,5,4,6,1]=>{{1,2,3,4,6,7,8},{5}}=>3
[6,5,1,2,3,8,4,7]=>[5,8,2,3,4,6,1,7]=>{{1,2,3,4,5,7,8},{6}}=>2
[4,6,2,1,3,8,5,7]=>[8,4,1,3,2,6,5,7]=>{{1,2,3,4,5,7,8},{6}}=>2
[8,6,1,7,2,3,4,5]=>[6,8,2,7,4,5,3,1]=>{{1,2,3,4,5,6,7,8}}=>0
[1,7,8,6,2,3,4,5]=>[1,7,6,8,4,5,3,2]=>{{1},{2,3,4,5,6,7,8}}=>0
[7,8,1,6,2,3,4,5]=>[7,6,2,8,4,5,3,1]=>{{1,2,3,4,5,6,7,8}}=>0
[6,8,1,7,2,3,4,5]=>[8,6,2,7,4,5,3,1]=>{{1,8},{2,3,4,5,6,7}}=>1
[4,8,2,1,7,3,5,6]=>[7,4,1,3,8,5,6,2]=>{{1,2,3,4,5,6,7,8}}=>0
[3,2,8,1,7,4,5,6]=>[2,7,3,1,8,5,6,4]=>{{1,2,4,5,6,7,8},{3}}=>5
[8,1,7,6,2,3,4,5]=>[6,1,7,8,4,5,3,2]=>{{1,2,4,5,6,8},{3,7}}=>1
[6,3,5,1,2,4,8,7]=>[3,6,5,2,4,1,8,7]=>{{1,2,3,4,5,6},{7,8}}=>0
[8,3,7,5,2,1,4,6]=>[3,7,5,8,2,4,6,1]=>{{1,2,3,4,5,6,7,8}}=>0
[2,1,8,5,7,3,4,6]=>[2,1,5,8,7,4,6,3]=>{{1,2},{3,4,5,6,7,8}}=>0
[5,8,2,4,6,7,3,1]=>[5,4,1,8,6,7,2,3]=>{{1,2,3,4,5,6,7,8}}=>0
[3,4,8,6,5,7,1,2]=>[6,4,3,5,8,7,2,1]=>{{1,2,4,5,6,7,8},{3}}=>5
[4,1,6,3,8,5,7,2]=>[7,1,4,2,6,3,8,5]=>{{1,2,3,4,5,6,7,8}}=>0
[7,4,1,3,5,8,6,2]=>[4,5,2,1,8,7,3,6]=>{{1,4},{2,3,5,6,7,8}}=>0
[6,5,8,4,1,7,3,2]=>[5,6,4,8,3,7,1,2]=>{{1,2,3,4,5,6,7,8}}=>0
[8,5,3,7,4,1,6,2]=>[3,5,8,7,1,4,2,6]=>{{1,2,3,4,5,6,7,8}}=>0
[8,3,1,2,5,7,6,4]=>[3,5,2,1,7,8,4,6]=>{{1,2,3,4,5,7},{6,8}}=>0
[3,1,8,2,7,6,5,4]=>[6,1,3,2,7,8,4,5]=>{{1,2,4,5,6,7,8},{3}}=>5
[3,8,2,1,7,5,6,4]=>[7,3,1,2,8,4,5,6]=>{{1,2,3,4,5,6,7,8}}=>0
[3,8,6,7,2,4,1,5]=>[8,3,6,7,2,4,5,1]=>{{1,8},{2,3,4,5,6,7}}=>1
[4,3,8,7,2,1,6,5]=>[4,8,3,7,1,5,2,6]=>{{1,2,4,5,6,7,8},{3}}=>5
[7,8,5,6,1,4,2,3]=>[6,5,8,7,4,1,3,2]=>{{1,6},{2,3,4,5,7,8}}=>0
[8,1,6,4,5,7,2,3]=>[4,1,5,6,8,7,3,2]=>{{1,2,3,4,5,6,7,8}}=>0
[5,8,3,6,1,7,2,4]=>[5,3,8,6,4,7,2,1]=>{{1,2,3,4,5,6,7,8}}=>0
[6,7,3,5,2,1,8,4]=>[5,3,6,8,2,4,7,1]=>{{1,2,3,4,5,6,8},{7}}=>1
[7,1,4,2,5,6,8,3]=>[4,1,5,3,6,8,7,2]=>{{1,2,3,4,5,6,8},{7}}=>1
[8,5,2,4,6,1,7,3]=>[4,5,1,7,6,3,8,2]=>{{1,2,3,4,5,6,7,8}}=>0
[7,5,3,2,6,8,1,4]=>[3,5,8,1,7,6,4,2]=>{{1,2,3,4,5,7,8},{6}}=>2
[6,5,2,1,4,3,8,7]=>[5,6,1,3,2,4,8,7]=>{{1,2,3,4,5,6},{7,8}}=>0
[8,5,2,7,4,1,6,3]=>[5,8,1,7,2,4,3,6]=>{{1,2,3,4,5,6,7,8}}=>0
[5,6,3,2,4,1,8,7]=>[5,3,6,1,2,4,8,7]=>{{1,2,3,4,5,6},{7,8}}=>0
[3,6,2,4,1,5,8,7]=>[4,3,1,6,2,5,8,7]=>{{1,2,3,4,5,6},{7,8}}=>0
[8,7,2,3,4,1,6,5]=>[7,8,1,2,3,5,4,6]=>{{1,2,3,4,5,6,7,8}}=>0
[5,1,7,3,8,4,6,2]=>[8,1,7,2,5,3,4,6]=>{{1,2,3,4,6,7,8},{5}}=>3
[2,1,8,7,4,3,6,5]=>[2,1,7,8,3,5,4,6]=>{{1,2},{3,4,5,6,7,8}}=>0
[3,8,7,4,1,2,6,5]=>[7,3,4,8,2,5,1,6]=>{{1,7},{2,3,4,5,6,8}}=>0
[7,8,1,3,5,2,6,4]=>[7,5,2,1,8,4,3,6]=>{{1,2,3,4,5,6,7,8}}=>0
[2,8,6,3,1,5,7,4]=>[6,2,7,1,4,3,8,5]=>{{1,3,4,5,6,7,8},{2}}=>6
[8,1,6,3,2,5,4,7]=>[6,1,8,2,4,3,5,7]=>{{1,2,3,4,5,6,7,8}}=>0
[2,8,4,1,6,3,7,5]=>[4,2,6,3,7,5,8,1]=>{{1,3,4,5,6,7,8},{2}}=>6
[3,8,4,2,5,7,1,6]=>[5,3,4,1,7,8,6,2]=>{{1,2,3,4,5,6,7,8}}=>0
[6,8,3,5,2,7,4,1]=>[5,3,6,8,2,7,1,4]=>{{1,2,3,5,6,7},{4,8}}=>0
[6,5,3,2,8,7,1,4]=>[3,6,8,1,5,7,4,2]=>{{1,2,3,4,6,7,8},{5}}=>3
[2,4,1,8,7,6,5,3]=>[6,2,1,4,7,8,3,5]=>{{1,3,5,6,7,8},{2},{4}}=>9
[3,7,5,6,8,4,2,1]=>[8,3,6,7,5,1,2,4]=>{{1,2,3,4,6,7,8},{5}}=>3
[5,7,1,6,8,2,4,3]=>[8,6,2,7,5,4,1,3]=>{{1,2,3,4,6,7,8},{5}}=>3
[5,6,2,1,8,7,3,4]=>[8,6,1,3,5,7,4,2]=>{{1,2,3,4,6,7,8},{5}}=>3
[5,6,2,8,4,3,1,7]=>[8,6,1,5,2,3,4,7]=>{{1,2,3,4,5,6,7,8}}=>0
[8,7,2,1,4,5,6,3]=>[7,8,1,3,2,4,5,6]=>{{1,2,3,4,5,6,7,8}}=>0
[3,6,8,7,1,5,4,2]=>[8,6,3,7,4,1,2,5]=>{{1,2,4,5,6,7,8},{3}}=>5
[5,7,8,6,3,4,1,2]=>[8,6,5,7,2,1,4,3]=>{{1,2,3,5,6,8},{4,7}}=>1
[7,1,8,5,4,3,6,2]=>[7,1,5,8,2,3,4,6]=>{{1,2,3,4,5,6,7,8}}=>0
[5,7,3,8,1,4,6,2]=>[7,3,8,5,4,1,2,6]=>{{1,2,3,6,7,8},{4,5}}=>3
[2,1,7,8,5,4,6,3]=>[2,1,7,5,8,3,4,6]=>{{1,2},{3,4,5,6,7,8}}=>0
[2,1,5,8,4,6,3,7]=>[2,1,6,5,3,8,4,7]=>{{1,2},{3,4,5,6,7,8}}=>0
[6,5,3,8,4,1,2,7]=>[3,6,8,5,1,4,2,7]=>{{1,2,3,4,5,6,7,8}}=>0
[7,5,8,4,3,6,2,1]=>[5,6,4,7,1,8,2,3]=>{{1,5},{2,3,4,6,7,8}}=>0
[2,4,8,3,5,6,1,7]=>[5,2,4,1,6,8,3,7]=>{{1,3,4,5,6,7,8},{2}}=>6
[2,3,8,1,4,6,7,5]=>[6,2,3,1,4,7,8,5]=>{{1,4,5,6,7,8},{2},{3}}=>10
[4,8,2,3,5,1,6,7]=>[5,4,1,2,8,3,6,7]=>{{1,3,5,6,7,8},{2,4}}=>4
[3,8,2,1,4,6,5,7]=>[6,3,1,2,4,8,5,7]=>{{1,2,3,4,5,6,7,8}}=>0
[2,8,1,3,4,5,7,6]=>[7,2,1,3,4,5,8,6]=>{{1,3,4,5,6,7,8},{2}}=>6
[2,8,7,6,1,4,3,5]=>[6,2,7,8,4,3,5,1]=>{{1,3,4,5,6,7,8},{2}}=>6
[2,8,5,3,4,6,7,1]=>[5,2,6,1,3,7,8,4]=>{{1,3,4,5,6,7,8},{2}}=>6
[7,5,8,6,1,4,3,2]=>[6,8,5,7,4,1,2,3]=>{{1,6},{2,3,4,5,7,8}}=>0
[5,1,2,6,4,8,7,3]=>[7,1,2,5,3,6,8,4]=>{{1,2,3,4,5,7,8},{6}}=>2
[5,1,2,8,6,4,7,3]=>[7,1,2,5,6,3,8,4]=>{{1,2,3,4,5,6,7,8}}=>0
[6,5,2,8,3,7,4,1]=>[6,8,1,5,3,7,2,4]=>{{1,2,3,4,5,6,7,8}}=>0
[7,1,6,8,4,3,5,2]=>[7,1,8,6,2,4,3,5]=>{{1,2,3,5,7,8},{4,6}}=>2
[6,1,2,8,4,5,7,3]=>[7,1,2,6,3,4,8,5]=>{{1,2,3,5,7,8},{4,6}}=>2
[7,5,2,8,3,4,1,6]=>[7,8,1,5,3,2,6,4]=>{{1,2,3,4,5,6,7,8}}=>0
[5,7,8,6,3,4,2,1]=>[8,6,5,7,2,1,3,4]=>{{1,2,3,4,5,6,7,8}}=>0
[4,1,8,3,6,2,7,5]=>[6,1,4,2,7,5,8,3]=>{{1,2,3,4,5,6,7,8}}=>0
[7,1,6,5,8,3,2,4]=>[6,1,7,8,5,3,4,2]=>{{1,2,3,4,6,7,8},{5}}=>3
[4,1,6,5,7,3,2,8]=>[7,1,4,6,5,2,3,8]=>{{1,2,3,4,6,7},{5},{8}}=>2
[4,1,6,7,8,3,5,2]=>[8,1,7,4,6,3,2,5]=>{{1,2,3,5,6,7,8},{4}}=>4
[4,1,2,6,8,5,7,3]=>[7,1,2,4,6,3,8,5]=>{{1,2,3,5,6,7,8},{4}}=>4
[7,8,2,1,6,5,3,4]=>[7,6,1,3,8,2,5,4]=>{{1,3,4,5,7,8},{2,6}}=>2
[6,4,1,2,5,7,3,8]=>[4,5,2,3,7,6,1,8]=>{{1,2,3,4,5,7},{6},{8}}=>1
[4,3,8,1,7,2,5,6]=>[4,7,3,2,8,5,6,1]=>{{1,2,4,5,6,7,8},{3}}=>5
[6,3,1,4,7,2,5,8]=>[3,4,2,7,6,5,1,8]=>{{1,2,3,4,7},{5,6},{8}}=>1
[7,8,4,1,2,3,6,5]=>[7,4,8,3,2,5,1,6]=>{{1,7},{2,3,4,5,6,8}}=>0
[7,8,3,6,5,4,1,2]=>[5,3,6,7,8,1,4,2]=>{{1,2,3,5,6,8},{4,7}}=>1
[7,8,2,5,6,4,1,3]=>[6,5,1,8,7,2,4,3]=>{{1,2,3,4,5,6,7,8}}=>0
[7,8,1,6,5,4,3,2]=>[6,5,2,7,8,1,3,4]=>{{1,6},{2,3,4,5,7,8}}=>0
[1,3,8,2,6,4,7,5]=>[1,6,3,2,7,5,8,4]=>{{1},{2,4,5,6,7,8},{3}}=>5
[4,3,8,7,5,6,1,2]=>[4,6,3,5,7,8,2,1]=>{{1,2,4,5,6,7,8},{3}}=>5
[3,7,2,8,6,4,1,5]=>[7,3,1,6,8,4,5,2]=>{{1,2,3,5,7,8},{4,6}}=>2
[5,6,7,3,8,4,1,2]=>[8,7,6,1,5,2,4,3]=>{{1,2,3,4,6,7,8},{5}}=>3
[5,2,8,1,4,7,3,6]=>[2,7,5,3,1,8,6,4]=>{{1,2,3,4,5,6,7,8}}=>0
[1,6,5,8,3,2,7,4]=>[1,6,7,5,3,4,8,2]=>{{1},{2,3,4,5,6,7,8}}=>0
[5,7,1,4,2,3,8,6]=>[5,4,2,8,3,1,7,6]=>{{1,2,3,4,5,6,8},{7}}=>1
[6,1,4,2,8,5,3,7]=>[4,1,8,3,6,2,5,7]=>{{1,2,3,4,5,6,7,8}}=>0
[4,8,2,1,5,6,3,7]=>[5,4,1,3,6,8,2,7]=>{{1,2,3,4,5,6,7,8}}=>0
[4,8,6,3,5,7,1,2]=>[6,4,5,1,8,7,3,2]=>{{1,2,3,4,5,6,7,8}}=>0
[3,8,5,6,1,4,7,2]=>[7,3,5,6,4,1,8,2]=>{{1,2,3,4,5,6,7,8}}=>0
[3,7,8,5,1,2,4,6]=>[7,5,3,8,4,2,6,1]=>{{1,2,4,5,6,7,8},{3}}=>5
[2,8,7,5,1,4,3,6]=>[5,2,7,8,4,1,6,3]=>{{1,3,4,5,6,7,8},{2}}=>6
[8,6,4,2,3,7,1,5]=>[4,6,8,2,1,7,5,3]=>{{1,2,4,5,6,7},{3,8}}=>0
[5,7,4,2,3,8,1,6]=>[5,4,8,2,1,7,6,3]=>{{1,5},{2,4},{3,8},{6,7}}=>2
[3,7,6,1,4,8,2,5]=>[8,3,7,2,1,6,5,4]=>{{1,2,3,4,5,7,8},{6}}=>2
[5,7,2,6,1,8,3,4]=>[8,5,1,7,4,6,3,2]=>{{1,2,3,4,5,7,8},{6}}=>2
[7,4,8,5,2,6,1,3]=>[5,7,4,6,2,8,3,1]=>{{1,2,3,4,5,6,7,8}}=>0
[3,8,6,1,2,7,4,5]=>[8,3,6,2,4,7,5,1]=>{{1,8},{2,3,4,5,6,7}}=>1
[6,8,4,3,7,1,2,5]=>[6,4,8,1,7,5,3,2]=>{{1,2,3,4,5,6,7,8}}=>0
[6,8,5,3,7,1,2,4]=>[7,5,8,1,6,4,3,2]=>{{1,2,3,4,5,6,7,8}}=>0
[3,8,5,7,1,2,4,6]=>[8,3,5,7,4,2,6,1]=>{{1,8},{2,3,4,5,6,7}}=>1
[7,4,6,3,8,1,2,5]=>[4,8,7,1,6,5,3,2]=>{{1,4},{2,8},{3,7},{5,6}}=>3
[7,4,1,6,8,2,3,5]=>[4,8,2,7,6,5,3,1]=>{{1,2,3,4,7,8},{5,6}}=>2
[6,3,7,4,8,5,1,2]=>[4,7,3,8,6,1,5,2]=>{{1,2,4,5,6,7,8},{3}}=>5
[3,6,8,2,7,1,4,5]=>[8,6,3,1,7,5,4,2]=>{{1,2,4,5,6,7,8},{3}}=>5
[4,3,8,7,1,2,5,6]=>[4,8,3,7,2,5,6,1]=>{{1,2,4,5,6,7,8},{3}}=>5
[5,3,8,7,1,2,4,6]=>[5,8,3,7,4,2,6,1]=>{{1,2,4,5,6,7,8},{3}}=>5
[8,3,7,6,1,2,4,5]=>[3,7,6,8,4,5,2,1]=>{{1,3,4,5,6,8},{2,7}}=>1
[4,6,8,2,7,1,3,5]=>[8,6,4,2,7,5,3,1]=>{{1,8},{2,3,4,5,6,7}}=>1
[7,5,8,6,4,1,2,3]=>[6,8,5,7,1,4,3,2]=>{{1,3,4,5,6,7},{2,8}}=>0
[6,8,4,7,5,1,2,3]=>[6,4,7,5,8,3,2,1]=>{{1,2,3,4,5,6,7,8}}=>0
[3,8,7,6,1,2,4,5]=>[7,3,6,8,4,5,2,1]=>{{1,2,3,4,5,6,7,8}}=>0
[7,5,3,8,2,1,6,4]=>[3,7,8,5,2,4,1,6]=>{{1,2,3,4,5,6,7,8}}=>0
[3,8,7,4,5,1,6,2]=>[5,3,4,7,8,2,1,6]=>{{1,2,3,4,5,6,7,8}}=>0
[7,1,8,4,2,6,5,3]=>[6,1,4,7,3,8,2,5]=>{{1,2,3,4,5,6,7,8}}=>0
[6,5,3,1,8,4,7,2]=>[3,6,7,2,5,1,8,4]=>{{1,2,3,4,6,7,8},{5}}=>3
[8,6,3,1,2,5,7,4]=>[3,6,7,2,4,1,8,5]=>{{1,2,3,4,5,6,7,8}}=>0
[8,2,6,3,4,7,1,5]=>[2,6,8,1,3,7,5,4]=>{{1,2,3,4,5,6,7,8}}=>0
[3,7,6,2,4,5,8,1]=>[8,3,6,1,2,4,7,5]=>{{1,2,3,4,5,6,8},{7}}=>1
[6,8,3,5,2,7,1,4]=>[5,3,6,8,2,7,4,1]=>{{1,2,3,4,5,6,7,8}}=>0
[1,8,2,7,3,4,5,6]=>[1,7,2,8,4,5,6,3]=>{{1},{2,3,4,5,6,7,8}}=>0
[2,8,1,7,3,4,5,6]=>[7,2,1,8,4,5,6,3]=>{{1,3,4,5,6,7,8},{2}}=>6
[3,8,6,1,7,2,4,5]=>[8,3,6,2,7,5,4,1]=>{{1,8},{2,3,4,5,6,7}}=>1
[4,8,1,5,7,2,3,6]=>[8,4,2,5,7,3,6,1]=>{{1,8},{2,3,4,5,6,7}}=>1
[8,1,2,7,3,4,5,6]=>[7,1,2,8,4,5,6,3]=>{{1,2,3,4,5,6,7,8}}=>0
[6,5,3,4,8,7,1,2]=>[3,4,6,8,5,7,2,1]=>{{1,2,3,4,6,7,8},{5}}=>3
[6,3,8,1,7,2,4,5]=>[6,8,3,2,7,5,4,1]=>{{1,2,4,5,6,7,8},{3}}=>5
[3,7,8,2,4,6,1,5]=>[7,6,3,1,2,8,5,4]=>{{1,2,4,5,6,7,8},{3}}=>5
[3,7,8,1,6,2,4,5]=>[7,6,3,2,8,5,4,1]=>{{1,2,4,5,6,7,8},{3}}=>5
[2,3,8,7,1,4,5,6]=>[7,2,3,8,4,5,6,1]=>{{1,4,5,6,7,8},{2},{3}}=>10
[2,1,8,7,3,4,5,6]=>[2,1,7,8,4,5,6,3]=>{{1,2},{3,4,5,6,7,8}}=>0
[1,2,8,7,3,4,5,6]=>[1,2,7,8,4,5,6,3]=>{{1},{2},{3,4,5,6,7,8}}=>0
[1,3,8,7,2,4,5,6]=>[1,7,3,8,4,5,6,2]=>{{1},{2,4,5,6,7,8},{3}}=>5
[7,8,6,2,5,1,3,4]=>[6,5,7,2,8,4,3,1]=>{{1,2,4,5,6,8},{3,7}}=>1
[8,1,5,3,7,2,4,6]=>[5,1,8,2,7,4,6,3]=>{{1,2,4,5,6,7},{3,8}}=>0
[7,5,8,3,6,2,4,1]=>[6,8,5,1,7,3,2,4]=>{{1,2,3,4,5,6,7,8}}=>0
[7,4,8,3,2,6,5,1]=>[6,7,4,1,2,8,3,5]=>{{1,2,3,4,5,6,7,8}}=>0
[7,4,8,3,2,5,6,1]=>[7,8,4,1,2,3,5,6]=>{{1,2,3,4,5,6,7,8}}=>0
[7,5,8,3,6,2,1,4]=>[6,8,5,1,7,3,4,2]=>{{1,3,4,5,6,7},{2,8}}=>0
[5,4,3,2,8,6,1,7]=>[3,4,6,1,5,8,2,7]=>{{1,2,3,4,6,7,8},{5}}=>3
[5,4,3,2,8,7,1,6]=>[3,4,7,1,5,8,6,2]=>{{1,2,3,4,6,7,8},{5}}=>3
[7,5,1,4,8,6,2,3]=>[4,6,2,7,5,8,3,1]=>{{1,2,3,4,6,7,8},{5}}=>3
[7,4,1,3,2,8,6,5]=>[4,8,2,1,3,7,5,6]=>{{1,4},{2,3,5,6,7,8}}=>0
[6,5,3,8,7,2,4,1]=>[3,7,8,5,6,2,1,4]=>{{1,2,3,4,5,6,7,8}}=>0
[7,6,1,8,3,2,4,5]=>[7,8,2,6,3,5,4,1]=>{{1,2,3,4,5,6,7,8}}=>0
[6,5,3,7,8,2,4,1]=>[3,7,8,6,5,2,1,4]=>{{1,2,3,4,6,7,8},{5}}=>3
[5,4,3,2,8,1,7,6]=>[3,4,7,1,5,2,8,6]=>{{1,2,3,4,6,7,8},{5}}=>3
[5,6,2,1,3,4,8,7]=>[6,5,1,3,4,2,8,7]=>{{1,2,3,4,5,6},{7,8}}=>0
[5,3,7,8,2,1,4,6]=>[7,8,3,5,2,4,6,1]=>{{1,2,4,5,6,7,8},{3}}=>5
[6,1,8,3,2,4,5,7]=>[8,1,6,2,4,5,3,7]=>{{1,2,3,4,5,6,7,8}}=>0
[7,5,1,6,8,3,4,2]=>[6,8,2,7,5,3,1,4]=>{{1,2,3,4,6,7,8},{5}}=>3
[6,5,2,1,8,7,4,3]=>[6,8,1,3,5,7,2,4]=>{{1,2,3,4,6,7,8},{5}}=>3
[7,3,8,6,1,2,5,4]=>[6,7,3,8,4,5,1,2]=>{{1,2,4,5,6,7,8},{3}}=>5
[1,8,2,4,3,5,6,7]=>[1,4,2,8,3,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>0
[1,7,2,4,3,5,6,8]=>[1,4,2,7,3,5,6,8]=>{{1},{2,3,4,5,6,7},{8}}=>0
[1,7,2,5,3,4,6,8]=>[1,5,2,7,4,3,6,8]=>{{1},{2,3,4,5,6,7},{8}}=>0
[1,8,2,5,3,4,6,7]=>[1,5,2,8,4,3,6,7]=>{{1},{2,3,4,5,6,7,8}}=>0
[1,8,2,6,3,4,5,7]=>[1,6,2,8,4,5,3,7]=>{{1},{2,3,4,5,6,7,8}}=>0
[1,7,2,6,3,4,5,8]=>[1,6,2,7,4,5,3,8]=>{{1},{2,3,4,5,6,7},{8}}=>0
[1,7,2,8,3,5,4,6]=>[1,8,2,7,4,3,6,5]=>{{1},{2,3,4,5,6,7,8}}=>0
[1,6,2,8,3,5,4,7]=>[1,8,2,6,4,3,5,7]=>{{1},{2,3,4,5,6,7,8}}=>0
[1,4,2,8,3,6,5,7]=>[1,6,2,4,3,8,5,7]=>{{1},{2,3,5,6,7,8},{4}}=>4
[1,6,2,7,3,5,4,8]=>[1,7,2,6,4,3,5,8]=>{{1},{2,3,4,5,6,7},{8}}=>0
[1,8,2,5,3,6,4,7]=>[1,5,2,6,4,8,3,7]=>{{1},{2,3,4,5,6,7,8}}=>0
[1,7,2,5,3,6,4,8]=>[1,5,2,6,4,7,3,8]=>{{1},{2,3,4,5,6,7},{8}}=>0
[1,7,2,4,3,6,5,8]=>[1,4,2,6,3,7,5,8]=>{{1},{2,3,4,5,6,7},{8}}=>0
[1,8,2,4,3,6,5,7]=>[1,4,2,6,3,8,5,7]=>{{1},{2,3,4,5,6,7,8}}=>0
[1,8,2,3,4,6,5,7]=>[1,6,2,3,4,8,5,7]=>{{1},{2,3,4,5,6,7,8}}=>0
[1,7,2,3,4,6,5,8]=>[1,6,2,3,4,7,5,8]=>{{1},{2,3,4,5,6,7},{8}}=>0
[1,8,2,3,4,7,5,6]=>[1,7,2,3,4,8,6,5]=>{{1},{2,3,4,5,6,7,8}}=>0
[1,8,2,4,3,7,5,6]=>[1,4,2,7,3,8,6,5]=>{{1},{2,3,4,5,6,7,8}}=>0
[1,7,2,4,3,8,5,6]=>[1,4,2,8,3,7,6,5]=>{{1},{2,3,4,5,8},{6,7}}=>1
[1,6,2,4,3,8,5,7]=>[1,4,2,8,3,6,5,7]=>{{1},{2,3,4,5,7,8},{6}}=>2
[1,6,2,5,3,8,4,7]=>[1,5,2,8,4,6,3,7]=>{{1},{2,3,4,5,7,8},{6}}=>2
[1,8,2,5,3,7,4,6]=>[1,5,2,7,4,8,6,3]=>{{1},{2,3,4,5,6,7,8}}=>0
[1,8,2,6,3,7,4,5]=>[1,6,2,8,4,7,5,3]=>{{1},{2,3,4,5,6,7,8}}=>0
[1,7,2,6,3,8,4,5]=>[1,7,2,8,4,6,5,3]=>{{1},{2,3,4,5,7,8},{6}}=>2
[1,4,2,8,3,7,5,6]=>[1,7,2,4,3,8,6,5]=>{{1},{2,3,5,6,7,8},{4}}=>4
[1,7,2,8,3,6,4,5]=>[1,7,2,6,4,8,5,3]=>{{1},{2,3,4,5,6,7,8}}=>0
[4,6,3,7,2,5,1,8]=>[6,3,7,4,1,2,5,8]=>{{1,2,3,5,6,7},{4},{8}}=>3
[5,6,8,3,4,1,2,7]=>[8,6,5,1,2,4,3,7]=>{{1,2,3,4,5,6,7,8}}=>0
[5,6,8,3,4,1,7,2]=>[7,6,5,1,2,4,8,3]=>{{1,2,3,4,5,6,7,8}}=>0
[5,6,7,2,4,3,1,8]=>[7,6,5,2,1,3,4,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[5,6,8,4,3,1,7,2]=>[6,5,4,7,1,3,8,2]=>{{1,2,3,4,5,6,7,8}}=>0
[5,7,8,4,1,6,3,2]=>[6,5,4,7,3,8,1,2]=>{{1,2,3,4,5,6,7,8}}=>0
[5,6,8,4,2,1,7,3]=>[6,5,4,7,2,3,8,1]=>{{1,3,4,6,7,8},{2,5}}=>3
[5,7,8,4,1,2,3,6]=>[7,5,4,8,3,2,6,1]=>{{1,2,3,4,5,6,7,8}}=>0
[6,7,8,1,5,2,4,3]=>[7,6,5,3,8,4,1,2]=>{{1,7},{2,3,4,5,6,8}}=>0
[6,7,8,1,5,3,2,4]=>[7,6,5,3,8,2,4,1]=>{{1,3,4,5,7,8},{2,6}}=>2
[4,7,2,8,1,6,5,3]=>[7,6,1,4,3,8,2,5]=>{{1,2,3,5,6,7,8},{4}}=>4
[5,7,8,2,1,6,4,3]=>[7,6,5,2,4,8,1,3]=>{{1,7},{2,3,4,5,6,8}}=>0
[6,7,8,1,3,5,4,2]=>[8,7,6,3,2,1,4,5]=>{{1,2,3,4,5,6,7,8}}=>0
[5,6,8,3,2,1,7,4]=>[7,6,5,1,3,4,8,2]=>{{1,2,4,6,7,8},{3,5}}=>3
[5,7,8,3,1,4,6,2]=>[8,7,5,1,4,2,3,6]=>{{1,2,3,4,5,6,7,8}}=>0
[5,7,8,3,1,6,4,2]=>[7,6,5,1,4,8,2,3]=>{{1,2,3,4,5,6,7,8}}=>0
[4,7,3,8,1,5,6,2]=>[7,3,8,4,2,1,5,6]=>{{1,2,3,5,6,7,8},{4}}=>4
[5,7,8,3,1,2,4,6]=>[8,7,5,1,4,3,6,2]=>{{1,2,3,4,5,6,7,8}}=>0
[5,7,8,3,1,2,6,4]=>[8,7,5,1,4,3,2,6]=>{{1,3,4,5,6,8},{2,7}}=>1
[5,6,8,3,2,1,4,7]=>[8,6,5,1,3,4,2,7]=>{{1,2,4,6,7,8},{3,5}}=>3
[3,2,7,8,1,5,4,6]=>[2,8,3,7,4,1,6,5]=>{{1,2,4,5,6,7,8},{3}}=>5
[5,7,8,2,1,4,3,6]=>[8,7,5,2,4,1,6,3]=>{{1,2,3,4,5,6,7,8}}=>0
[6,7,8,1,4,2,5,3]=>[8,7,6,3,1,5,2,4]=>{{1,3,4,5,6,8},{2,7}}=>1
[6,7,8,1,2,5,3,4]=>[8,7,6,3,4,1,5,2]=>{{1,2,3,4,5,6,7,8}}=>0
[6,7,8,1,2,5,4,3]=>[8,7,6,3,4,1,2,5]=>{{1,3,4,5,6,8},{2,7}}=>1
[6,7,8,1,2,4,5,3]=>[8,7,6,3,4,2,1,5]=>{{1,2,3,4,5,6,7,8}}=>0
[6,7,8,1,3,2,5,4]=>[8,7,6,3,2,5,1,4]=>{{1,2,3,4,5,6,7,8}}=>0
[6,7,8,1,3,2,4,5]=>[8,7,6,3,2,5,4,1]=>{{1,8},{2,3,4,5,6,7}}=>1
[6,7,8,1,2,4,3,5]=>[8,7,6,3,4,2,5,1]=>{{1,8},{2,3,4,5,6,7}}=>1
[2,8,4,5,6,1,7,3]=>[4,2,7,5,6,3,8,1]=>{{1,3,4,5,6,7,8},{2}}=>6
[2,8,6,5,7,3,1,4]=>[5,2,7,8,6,3,4,1]=>{{1,3,4,5,6,7,8},{2}}=>6
[7,2,8,4,5,6,1,3]=>[2,5,4,6,7,8,3,1]=>{{1,2,3,4,5,6,7,8}}=>0
[1,6,3,7,5,2,4,8]=>[1,3,6,5,7,4,2,8]=>{{1},{2,3,4,5,6,7},{8}}=>0
[6,3,2,8,5,1,4,7]=>[3,6,1,5,8,4,2,7]=>{{1,3},{2,4,5,6,7,8}}=>0
[5,3,1,8,6,4,7,2]=>[3,7,2,5,6,1,8,4]=>{{1,2,3,4,5,6,7,8}}=>0
[1,5,2,7,4,6,3,8]=>[1,6,2,5,3,7,4,8]=>{{1},{2,3,4,5,6,7},{8}}=>0
[5,1,4,7,2,8,6,3]=>[5,1,8,4,3,7,2,6]=>{{1,2,3,5,6,7,8},{4}}=>4
[7,2,1,4,3,6,5,8]=>[2,4,1,6,3,7,5,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[7,3,4,1,2,6,5,8]=>[3,6,4,2,1,7,5,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[7,4,3,2,1,6,5,8]=>[3,4,6,1,2,7,5,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[7,6,3,2,5,4,1,8]=>[3,5,6,1,7,2,4,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[1,8,3,2,5,4,7,6]=>[1,3,5,2,7,4,8,6]=>{{1},{2,3,4,5,6,7,8}}=>0
[1,8,4,5,2,3,7,6]=>[1,4,7,5,3,2,8,6]=>{{1},{2,3,4,5,6,7,8}}=>0
[7,2,1,6,5,4,3,8]=>[2,5,1,6,7,3,4,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[7,3,6,1,5,4,2,8]=>[3,6,5,2,7,1,4,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[1,8,5,4,3,2,7,6]=>[1,4,5,7,2,3,8,6]=>{{1},{2,3,4,5,6,7,8}}=>0
[1,8,6,4,3,7,2,5]=>[1,4,6,8,2,7,5,3]=>{{1},{2,3,4,5,6,7,8}}=>0
[2,3,8,1,5,4,7,6]=>[5,2,3,1,7,4,8,6]=>{{1,4,5,6,7,8},{2},{3}}=>10
[1,8,7,4,3,6,5,2]=>[1,4,6,7,2,8,3,5]=>{{1},{2,3,4,5,6,7,8}}=>0
[5,2,1,7,6,8,4,3]=>[2,8,1,5,7,6,3,4]=>{{1,2,3,4,5,7,8},{6}}=>2
[1,8,6,5,7,3,2,4]=>[1,5,7,8,6,3,4,2]=>{{1},{2,3,4,5,6,7,8}}=>0
[1,8,5,6,7,2,3,4]=>[1,5,8,7,6,4,3,2]=>{{1},{2,3,4,5,6,7,8}}=>0
[5,7,3,2,6,8,4,1]=>[5,3,8,1,7,6,2,4]=>{{1,2,3,4,5,7,8},{6}}=>2
[1,8,3,2,7,6,5,4]=>[1,3,6,2,7,8,4,5]=>{{1},{2,3,4,5,6,7,8}}=>0
[3,6,5,8,7,2,1,4]=>[8,3,7,5,6,2,4,1]=>{{1,8},{2,3,4,5,6,7}}=>1
[1,8,6,7,5,4,2,3]=>[1,5,7,6,8,2,4,3]=>{{1},{2,3,4,5,6,7,8}}=>0
[3,5,7,8,6,1,4,2]=>[8,6,3,5,7,4,1,2]=>{{1,2,4,5,6,7,8},{3}}=>5
[2,3,8,1,7,6,5,4]=>[6,2,3,1,7,8,4,5]=>{{1,4,5,6,7,8},{2},{3}}=>10
[2,1,4,3,6,5,8,7,10,9,12,11]=>[2,1,4,3,6,5,8,7,10,9,12,11]=>{{1,2},{3,4},{5,6},{7,8},{9,10},{11,12}}=>0
[8,3,5,1,7,4,6,2]=>[3,8,5,2,7,1,4,6]=>{{1,2,3,4,5,6,7,8}}=>0
[8,3,4,1,7,5,6,2]=>[3,7,4,2,8,1,5,6]=>{{1,2,3,4,5,6,7,8}}=>0
[4,8,3,1,7,5,6,2]=>[4,3,7,2,8,1,5,6]=>{{1,2,3,4,5,6,7,8}}=>0
[4,6,2,1,7,5,8,3]=>[8,4,1,3,6,2,7,5]=>{{1,2,3,4,5,6,8},{7}}=>1
[7,5,2,1,6,8,4,3]=>[5,8,1,3,7,6,2,4]=>{{1,2,3,4,5,7,8},{6}}=>2
[7,5,6,1,8,3,4,2]=>[6,8,7,3,5,2,1,4]=>{{1,2,3,4,6,7,8},{5}}=>3
[4,7,1,6,5,8,2,3]=>[7,4,2,5,8,6,3,1]=>{{1,2,3,4,5,7,8},{6}}=>2
[7,6,1,5,8,3,2,4]=>[6,7,2,8,5,3,4,1]=>{{1,2,3,4,6,7,8},{5}}=>3
[7,1,6,5,8,2,4,3]=>[6,1,7,8,5,4,2,3]=>{{1,2,3,4,6,7,8},{5}}=>3
[7,6,2,1,5,8,3,4]=>[5,7,1,3,8,6,4,2]=>{{1,2,3,4,5,7,8},{6}}=>2
[8,3,1,5,7,6,2,4]=>[3,5,2,7,6,8,4,1]=>{{1,2,3,5,6,8},{4,7}}=>1
[6,2,4,1,7,5,8,3]=>[2,4,8,3,6,1,7,5]=>{{1,2,3,4,5,6,8},{7}}=>1
[7,1,6,4,8,2,5,3]=>[4,1,7,8,6,5,2,3]=>{{1,2,3,4,7,8},{5,6}}=>2
[8,2,6,4,7,1,5,3]=>[2,4,6,8,7,5,1,3]=>{{1,2,3,4,5,6,7,8}}=>0
[8,4,2,6,7,5,1,3]=>[4,8,1,6,7,2,5,3]=>{{1,2,3,4,6,8},{5,7}}=>1
[6,1,4,2,7,5,8,3]=>[4,1,8,3,6,2,7,5]=>{{1,2,3,4,5,6,8},{7}}=>1
[8,2,6,5,7,1,4,3]=>[2,5,7,8,6,4,1,3]=>{{1,2,3,4,5,6,7,8}}=>0
[6,8,2,3,5,7,1,4]=>[6,5,1,2,8,7,4,3]=>{{1,2,3,4,5,6,7,8}}=>0
[8,1,2,4,3,6,5,7]=>[4,1,2,6,3,8,5,7]=>{{1,2,3,4,5,6,7,8}}=>0
[8,1,3,4,2,6,7,5]=>[3,1,4,6,2,7,8,5]=>{{1,2,3,4,5,6,7,8}}=>0
[8,1,3,2,4,5,7,6]=>[3,1,7,2,4,5,8,6]=>{{1,2,3,4,5,6,7,8}}=>0
[7,4,1,5,6,8,2,3]=>[4,8,2,5,7,6,3,1]=>{{1,2,3,4,5,7,8},{6}}=>2
[3,7,8,5,6,2,1,4]=>[6,5,3,8,7,2,4,1]=>{{1,2,4,5,6,7,8},{3}}=>5
[3,7,8,2,4,5,1,6]=>[8,7,3,1,2,4,6,5]=>{{1,2,4,5,6,7,8},{3}}=>5
[3,6,2,8,4,5,1,7]=>[8,3,1,6,2,4,5,7]=>{{1,2,3,5,7,8},{4,6}}=>2
[3,5,2,4,8,6,1,7]=>[4,3,1,6,5,8,2,7]=>{{1,2,3,4,6,7,8},{5}}=>3
[2,6,4,8,3,7,5,1]=>[6,2,8,4,1,7,3,5]=>{{1,3,5,6,7,8},{2},{4}}=>9
[6,2,5,1,7,3,4,8]=>[2,6,7,3,5,4,1,8]=>{{1,2,3,4,6,7},{5},{8}}=>2
[4,7,8,2,3,1,5,6]=>[8,7,4,2,1,5,6,3]=>{{1,2,3,4,5,6,7,8}}=>0
[4,7,8,3,2,1,6,5]=>[8,7,4,1,2,5,3,6]=>{{1,2,3,4,5,6,7,8}}=>0
[5,6,4,8,1,7,2,3]=>[6,5,8,4,3,7,2,1]=>{{1,2,3,5,6,7,8},{4}}=>4
[5,6,3,8,1,2,7,4]=>[6,3,7,5,4,2,8,1]=>{{1,2,3,6,7,8},{4,5}}=>3
[4,7,1,8,6,5,2,3]=>[7,6,2,4,8,1,5,3]=>{{1,2,3,5,6,7,8},{4}}=>4
[6,8,7,1,5,3,2,4]=>[7,5,6,3,8,2,4,1]=>{{1,2,3,4,5,6,7,8}}=>0
[4,7,2,8,6,1,5,3]=>[7,6,1,4,8,5,2,3]=>{{1,2,3,5,6,7,8},{4}}=>4
[7,8,2,3,6,5,1,4]=>[7,6,1,2,8,3,5,4]=>{{1,2,3,4,5,6,7,8}}=>0
[6,8,7,2,5,3,1,4]=>[7,5,6,2,8,3,4,1]=>{{1,2,4,5,7,8},{3,6}}=>2
[1,6,8,3,7,4,5,2]=>[1,8,6,2,7,4,3,5]=>{{1},{2,3,4,5,6,7,8}}=>0
[1,6,8,3,4,7,5,2]=>[1,8,6,2,3,7,4,5]=>{{1},{2,3,4,5,6,7,8}}=>0
[8,5,7,2,1,6,3,4]=>[5,7,6,2,4,8,3,1]=>{{1,2,3,4,5,6,7,8}}=>0
[1,8,7,5,3,4,6,2]=>[1,5,7,8,3,2,4,6]=>{{1},{2,3,4,5,6,7,8}}=>0
[1,8,7,3,5,4,6,2]=>[1,5,7,2,8,3,4,6]=>{{1},{2,3,4,5,6,7,8}}=>0
[8,2,5,4,7,1,6,3]=>[2,4,5,8,7,3,1,6]=>{{1,2,3,4,5,6,7,8}}=>0
[8,7,6,2,4,3,1,5]=>[6,7,8,2,1,4,5,3]=>{{1,2,4,5,6,7},{3,8}}=>0
[8,7,6,1,2,4,3,5]=>[6,7,8,3,4,2,5,1]=>{{1,2,3,4,5,6,7,8}}=>0
[1,6,8,4,3,7,5,2]=>[1,6,4,8,2,7,3,5]=>{{1},{2,3,4,5,6,7,8}}=>0
[8,5,7,1,3,2,6,4]=>[5,8,7,3,2,4,1,6]=>{{1,2,3,4,5,6,7,8}}=>0
[5,8,4,7,1,2,6,3]=>[7,4,8,5,3,2,1,6]=>{{1,7},{2,3,4,5,6,8}}=>0
[8,1,2,6,5,7,4,3]=>[5,1,2,6,8,7,3,4]=>{{1,2,3,4,5,6,7,8}}=>0
[4,8,5,7,1,2,6,3]=>[8,4,7,5,3,2,1,6]=>{{1,2,3,4,5,6,7,8}}=>0
[4,8,5,1,7,2,6,3]=>[8,4,5,3,7,2,1,6]=>{{1,2,3,4,5,6,7,8}}=>0
[1,6,4,8,3,7,5,2]=>[1,6,8,4,2,7,3,5]=>{{1},{2,3,5,6,7,8},{4}}=>4
[1,8,7,4,5,3,6,2]=>[1,4,5,7,8,2,3,6]=>{{1},{2,3,4,5,6,7,8}}=>0
[8,5,3,7,2,1,6,4]=>[3,5,8,7,2,4,1,6]=>{{1,3,4,6,7,8},{2,5}}=>3
[8,7,6,3,1,4,2,5]=>[6,7,8,1,4,3,5,2]=>{{1,2,3,4,5,6,7,8}}=>0
[8,7,6,1,3,2,4,5]=>[6,7,8,3,2,5,4,1]=>{{1,2,3,4,5,6,7,8}}=>0
[1,8,7,4,3,5,6,2]=>[1,4,7,8,2,3,5,6]=>{{1},{2,3,4,5,6,7,8}}=>0
[1,8,7,3,4,5,6,2]=>[1,7,8,2,3,4,5,6]=>{{1},{2,3,4,5,6,7,8}}=>0
[8,3,1,5,2,7,6,4]=>[3,5,2,7,4,8,1,6]=>{{1,2,3,4,5,7},{6,8}}=>0
[8,5,4,2,1,7,3,6]=>[4,5,7,2,3,8,6,1]=>{{1,2,3,4,5,6,7,8}}=>0
[8,5,4,2,1,7,6,3]=>[4,5,7,2,3,8,1,6]=>{{1,2,3,4,5,7},{6,8}}=>0
[6,5,4,2,1,3,8,7]=>[4,5,6,2,3,1,8,7]=>{{1,2,3,4,5,6},{7,8}}=>0
[6,5,4,1,3,2,8,7]=>[4,5,6,3,1,2,8,7]=>{{1,2,3,4,5,6},{7,8}}=>0
[8,7,4,1,6,3,2,5]=>[4,6,7,3,8,2,5,1]=>{{1,3,4,5,7,8},{2,6}}=>2
[8,7,4,1,6,5,3,2]=>[4,6,7,3,8,1,2,5]=>{{1,2,3,4,6,7},{5,8}}=>0
[8,5,4,1,3,7,6,2]=>[4,5,7,3,1,8,2,6]=>{{1,2,3,4,5,7},{6,8}}=>0
[8,3,2,5,1,7,4,6]=>[3,5,1,7,4,8,6,2]=>{{1,3},{2,4,5,6,7,8}}=>0
[8,5,4,3,1,7,2,6]=>[4,5,7,1,3,8,6,2]=>{{1,4},{2,3,5,6,7,8}}=>0
[8,5,4,1,3,7,2,6]=>[4,5,7,3,1,8,6,2]=>{{1,2,3,4,5,6,7,8}}=>0
[8,7,4,1,6,5,2,3]=>[4,6,7,3,8,1,5,2]=>{{1,2,3,4,5,6,7,8}}=>0
[8,7,4,3,6,2,1,5]=>[4,6,7,1,8,3,5,2]=>{{1,4},{2,3,5,6,7,8}}=>0
[8,3,2,7,6,4,1,5]=>[3,6,1,7,8,4,5,2]=>{{1,3},{2,4,5,6,7,8}}=>0
[2,1,8,7,6,4,3,5]=>[2,1,6,7,8,4,5,3]=>{{1,2},{3,4,5,6,7,8}}=>0
[8,7,6,5,2,4,3,1]=>[5,6,7,8,3,1,2,4]=>{{1,2,3,5,6,7},{4,8}}=>0
[8,7,4,2,6,3,5,1]=>[4,6,7,2,8,3,1,5]=>{{1,2,3,4,6,7},{5,8}}=>0
[8,7,4,2,6,3,1,5]=>[4,6,7,2,8,3,5,1]=>{{1,2,3,4,5,6,7,8}}=>0
[8,3,1,7,6,4,2,5]=>[3,6,2,7,8,4,5,1]=>{{1,2,3,4,5,6,7,8}}=>0
[8,3,1,7,6,4,5,2]=>[3,6,2,7,8,4,1,5]=>{{1,2,3,4,6,7},{5,8}}=>0
[8,3,1,7,6,2,5,4]=>[3,6,2,7,8,5,1,4]=>{{1,2,3,4,5,6,7,8}}=>0
[8,7,4,2,6,1,5,3]=>[4,6,7,2,8,5,1,3]=>{{1,2,3,4,5,6,7,8}}=>0
[8,7,6,5,3,1,4,2]=>[5,6,7,8,2,4,1,3]=>{{1,2,3,4,5,6,7,8}}=>0
[8,7,6,5,1,3,4,2]=>[5,6,7,8,4,2,1,3]=>{{1,3,4,5,7,8},{2,6}}=>2
[8,7,6,5,1,4,3,2]=>[5,6,7,8,4,1,2,3]=>{{1,2,3,4,5,6,7,8}}=>0
[8,7,6,5,4,1,3,2]=>[5,6,7,8,1,4,2,3]=>{{1,5},{2,3,4,6,7,8}}=>0
[8,7,4,3,6,1,5,2]=>[4,6,7,1,8,5,2,3]=>{{1,4},{2,3,5,6,7,8}}=>0
[8,3,2,7,6,1,5,4]=>[3,6,1,7,8,5,2,4]=>{{1,3},{2,4,5,6,7,8}}=>0
[2,1,8,7,6,3,5,4]=>[2,1,6,7,8,5,3,4]=>{{1,2},{3,4,5,6,7,8}}=>0
[8,7,6,5,1,4,2,3]=>[5,6,7,8,4,1,3,2]=>{{1,2,4,5,6,8},{3,7}}=>1
[8,7,6,5,1,2,4,3]=>[5,6,7,8,4,3,1,2]=>{{1,2,3,4,5,6,7,8}}=>0
[7,3,5,1,8,4,6,2]=>[3,8,7,2,5,1,4,6]=>{{1,2,3,4,6,7,8},{5}}=>3
[7,3,4,1,8,5,6,2]=>[3,8,4,2,7,1,5,6]=>{{1,2,3,4,6,8},{5,7}}=>1
[6,4,1,2,8,5,3,7]=>[4,8,2,3,6,1,5,7]=>{{1,2,3,4,5,6,7,8}}=>0
[5,3,1,2,8,6,4,7]=>[3,6,2,1,5,8,4,7]=>{{1,2,3,4,6,7,8},{5}}=>3
[7,1,5,6,8,2,3,4]=>[6,1,8,7,5,4,3,2]=>{{1,2,3,4,6,7,8},{5}}=>3
[5,2,3,1,8,6,7,4]=>[2,3,6,1,5,7,8,4]=>{{1,2,3,4,6,7,8},{5}}=>3
[6,2,1,5,8,7,3,4]=>[2,6,1,8,5,7,4,3]=>{{1,2,3,4,6,7,8},{5}}=>3
[6,2,4,1,8,5,7,3]=>[2,4,7,3,6,1,8,5]=>{{1,2,3,4,5,6,7,8}}=>0
[7,5,1,3,8,4,2,6]=>[7,8,2,1,5,3,6,4]=>{{1,2,3,4,6,7,8},{5}}=>3
[7,1,4,6,8,2,3,5]=>[4,1,8,7,6,5,3,2]=>{{1,2,3,4,7,8},{5,6}}=>2
[7,1,3,5,8,2,4,6]=>[3,1,7,8,5,4,6,2]=>{{1,2,3,4,6,7,8},{5}}=>3
[7,3,5,2,4,1,8,6]=>[3,8,5,1,2,4,7,6]=>{{1,2,3,4,5,6,8},{7}}=>1
[6,3,5,2,4,1,8,7]=>[3,6,5,1,2,4,8,7]=>{{1,2,3,4,5,6},{7,8}}=>0
[4,1,6,3,5,2,8,7]=>[5,1,4,2,6,3,8,7]=>{{1,2,3,4,5,6},{7,8}}=>0
[6,3,4,1,5,2,8,7]=>[3,5,4,2,6,1,8,7]=>{{1,2,3,4,5,6},{7,8}}=>0
[7,3,4,1,5,2,8,6]=>[3,5,4,2,8,1,7,6]=>{{1,2,3,4,5,6,8},{7}}=>1
[4,1,7,3,5,2,8,6]=>[5,1,4,2,8,3,7,6]=>{{1,2,3,4,5,6,8},{7}}=>1
[8,5,7,3,4,1,6,2]=>[5,8,7,1,2,4,3,6]=>{{1,2,4,5,6,8},{3,7}}=>1
[5,1,8,4,7,3,6,2]=>[5,1,4,8,7,2,3,6]=>{{1,2,3,4,5,6,7,8}}=>0
[2,1,8,5,7,4,6,3]=>[2,1,5,8,7,3,4,6]=>{{1,2},{3,4,5,6,7,8}}=>0
[4,1,7,3,6,2,8,5]=>[6,1,4,2,8,5,7,3]=>{{1,2,3,4,5,6,8},{7}}=>1
[5,1,7,3,6,2,8,4]=>[8,1,5,2,6,4,7,3]=>{{1,2,3,4,5,6,8},{7}}=>1
[6,2,8,4,7,3,5,1]=>[2,6,4,8,7,3,1,5]=>{{1,2,3,4,5,6,7,8}}=>0
[8,4,7,3,6,2,5,1]=>[4,7,6,1,8,3,2,5]=>{{1,4},{2,7},{3,6},{5,8}}=>1
[7,3,6,2,5,1,8,4]=>[3,6,5,1,8,4,7,2]=>{{1,2,3,4,5,6,8},{7}}=>1
[8,5,7,3,6,2,4,1]=>[5,8,6,1,7,3,2,4]=>{{1,2,4,5,7,8},{3,6}}=>2
[8,5,7,4,6,2,3,1]=>[4,6,5,8,7,2,1,3]=>{{1,3,4,5,7,8},{2,6}}=>2
[7,4,6,2,3,1,8,5]=>[4,8,6,2,1,5,7,3]=>{{1,2,3,4,5,6,8},{7}}=>1
[6,2,3,1,8,5,7,4]=>[2,3,7,1,6,4,8,5]=>{{1,2,3,4,5,6,7,8}}=>0
[5,2,4,1,8,6,7,3]=>[2,4,6,3,5,7,8,1]=>{{1,2,3,4,6,7,8},{5}}=>3
[2,1,6,3,8,5,7,4]=>[2,1,7,3,6,4,8,5]=>{{1,2},{3,4,5,6,7,8}}=>0
[3,1,6,2,8,5,7,4]=>[7,1,3,2,6,4,8,5]=>{{1,2,4,5,6,7,8},{3}}=>5
[8,4,6,2,5,1,7,3]=>[4,6,5,2,7,3,8,1]=>{{1,2,3,4,5,6,7,8}}=>0
[2,1,8,5,6,3,7,4]=>[2,1,5,7,6,4,8,3]=>{{1,2},{3,4,5,6,7,8}}=>0
[4,1,7,3,8,5,6,2]=>[8,1,4,2,7,3,5,6]=>{{1,2,3,4,6,8},{5,7}}=>1
[8,4,5,1,7,3,6,2]=>[4,8,5,3,7,1,2,6]=>{{1,2,3,4,5,6,7,8}}=>0
[7,8,5,6,1,3,4,2]=>[6,5,8,7,4,2,1,3]=>{{1,2,4,5,6,7},{3,8}}=>0
[7,8,1,3,6,2,5,4]=>[7,6,2,1,8,5,3,4]=>{{1,2,3,4,5,6,7,8}}=>0
[1,3,8,4,7,2,5,6]=>[1,4,3,7,8,5,6,2]=>{{1},{2,4,5,6,7,8},{3}}=>5
[7,8,1,5,4,6,3,2]=>[6,5,2,7,1,8,3,4]=>{{1,2,3,4,5,6,7,8}}=>0
[7,8,1,4,2,3,6,5]=>[7,4,2,8,3,5,1,6]=>{{1,7},{2,3,4,5,6,8}}=>0
[4,7,5,1,3,6,8,2]=>[6,4,5,3,1,8,7,2]=>{{1,2,3,4,5,6,8},{7}}=>1
[6,3,1,2,4,5,8,7]=>[3,6,2,1,4,5,8,7]=>{{1,2,3,4,5,6},{7,8}}=>0
[4,6,7,8,3,5,1,2]=>[8,7,6,4,1,2,5,3]=>{{1,2,3,5,6,7,8},{4}}=>4
[3,6,1,8,4,2,5,7]=>[8,3,2,6,1,5,4,7]=>{{1,4,5,6,7,8},{2,3}}=>5
[2,7,1,8,5,3,4,6]=>[7,2,1,5,8,4,6,3]=>{{1,3,4,5,6,7,8},{2}}=>6
[4,3,8,5,6,7,1,2]=>[4,8,3,5,6,7,2,1]=>{{1,2,4,5,6,7,8},{3}}=>5
[4,2,8,1,6,3,7,5]=>[2,6,4,3,7,5,8,1]=>{{1,2,5,6,7,8},{3,4}}=>4
[3,2,8,4,5,6,1,7]=>[2,4,3,5,6,8,1,7]=>{{1,2,4,5,6,7,8},{3}}=>5
[3,4,2,8,6,1,7,5]=>[6,3,1,4,7,5,8,2]=>{{1,2,3,5,6,7,8},{4}}=>4
[4,1,8,3,6,2,5,7]=>[6,1,4,2,8,5,3,7]=>{{1,2,3,4,5,6,7,8}}=>0
[6,7,1,5,2,8,3,4]=>[7,5,2,8,4,6,3,1]=>{{1,2,3,4,5,7,8},{6}}=>2
[6,1,5,2,8,3,4,7]=>[6,1,8,3,5,4,2,7]=>{{1,2,3,4,6,7,8},{5}}=>3
[7,1,5,3,4,2,8,6]=>[5,1,8,2,3,4,7,6]=>{{1,2,3,4,5,6,8},{7}}=>1
[7,6,1,5,3,2,8,4]=>[5,6,2,8,3,4,7,1]=>{{1,2,3,4,5,6,8},{7}}=>1
[6,8,1,4,2,5,7,3]=>[6,4,2,7,3,1,8,5]=>{{1,6},{2,3,4,5,7,8}}=>0
[7,3,1,6,4,5,2,8]=>[3,6,2,7,1,4,5,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[6,8,2,4,1,5,7,3]=>[6,4,1,7,3,2,8,5]=>{{1,2,3,4,5,6,7,8}}=>0
[6,8,3,1,2,4,7,5]=>[6,3,7,2,4,5,8,1]=>{{1,2,3,4,5,6,7,8}}=>0
[5,3,4,1,8,6,7,2]=>[3,6,4,2,5,7,8,1]=>{{1,2,3,4,6,7,8},{5}}=>3
[5,2,8,4,6,1,7,3]=>[2,5,4,7,6,3,8,1]=>{{1,2,3,4,5,6,7,8}}=>0
[1,4,2,7,5,8,6,3]=>[1,5,2,4,8,7,3,6]=>{{1},{2,3,5,6,7,8},{4}}=>4
[5,8,4,7,6,2,1,3]=>[6,4,8,5,7,2,3,1]=>{{1,2,3,4,5,6,7,8}}=>0
[6,4,8,3,1,7,2,5]=>[6,8,4,1,3,7,5,2]=>{{1,3,4,5,6,7},{2,8}}=>0
[6,4,8,1,2,7,3,5]=>[6,8,4,3,2,7,5,1]=>{{1,2,5,6,7,8},{3,4}}=>4
[6,8,5,1,2,3,7,4]=>[6,5,7,3,4,2,8,1]=>{{1,2,3,4,5,6,7,8}}=>0
[6,8,5,3,1,2,7,4]=>[6,5,7,1,4,3,8,2]=>{{1,2,3,4,5,6,7,8}}=>0
[4,6,3,1,2,7,5,8]=>[4,3,7,2,1,6,5,8]=>{{1,2,3,4,5,7},{6},{8}}=>1
[4,5,3,1,7,6,2,8]=>[4,3,6,2,5,7,1,8]=>{{1,2,3,4,6,7},{5},{8}}=>2
[3,5,2,7,8,1,6,4]=>[8,3,1,7,5,4,2,6]=>{{1,2,3,4,6,7,8},{5}}=>3
[1,2,7,5,3,8,6,4]=>[1,2,5,8,4,7,3,6]=>{{1},{2},{3,4,5,6,7,8}}=>0
[1,3,7,2,4,8,6,5]=>[1,8,3,2,4,7,5,6]=>{{1},{2,4,5,6,7,8},{3}}=>5
[2,7,4,1,5,8,6,3]=>[4,2,5,3,8,7,1,6]=>{{1,3,4,5,6,7,8},{2}}=>6
[2,8,6,4,1,5,7,3]=>[4,2,6,7,3,1,8,5]=>{{1,3,4,5,6,7,8},{2}}=>6
[3,6,4,8,5,1,7,2]=>[6,3,5,4,7,2,8,1]=>{{1,2,3,5,6,7,8},{4}}=>4
[5,2,7,3,6,8,1,4]=>[2,8,5,1,7,6,4,3]=>{{1,2,3,4,5,7,8},{6}}=>2
[8,2,3,5,1,6,7,4]=>[2,3,5,6,4,7,8,1]=>{{1,2,3,4,5,6,7,8}}=>0
[4,2,8,3,6,7,1,5]=>[2,6,4,1,8,7,5,3]=>{{1,2,3,4,5,6,7,8}}=>0
[4,8,3,1,7,2,5,6]=>[4,3,7,2,8,5,6,1]=>{{1,2,3,4,5,6,7,8}}=>0
[6,3,8,2,7,1,5,4]=>[6,8,3,1,7,5,2,4]=>{{1,2,4,5,6,7,8},{3}}=>5
[5,7,4,1,6,2,3,8]=>[5,4,7,3,6,2,1,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[8,5,4,1,2,6,3,7]=>[4,5,6,3,2,8,1,7]=>{{1,3,4,6,7,8},{2,5}}=>3
[6,3,2,7,8,5,1,4]=>[3,8,1,7,6,2,5,4]=>{{1,3},{2,4,5,6,7,8}}=>0
[3,8,2,4,6,7,1,5]=>[4,3,1,6,8,7,5,2]=>{{1,2,3,4,5,6,7,8}}=>0
[4,8,3,5,6,1,7,2]=>[4,3,7,5,6,2,8,1]=>{{1,2,3,4,5,6,7,8}}=>0
[5,8,7,3,4,1,2,6]=>[8,5,7,1,2,4,6,3]=>{{1,3,4,6,7,8},{2,5}}=>3
[6,8,4,7,2,5,3,1]=>[7,4,8,6,2,1,3,5]=>{{1,2,3,4,5,6,7,8}}=>0
[5,4,8,7,2,6,3,1]=>[6,7,4,5,2,8,1,3]=>{{1,2,3,4,5,6,7,8}}=>0
[8,3,4,6,5,1,2,7]=>[3,6,4,5,8,2,1,7]=>{{1,3,4,5,7,8},{2,6}}=>2
[3,8,4,7,5,1,2,6]=>[7,3,4,5,8,2,6,1]=>{{1,2,3,4,5,6,7,8}}=>0
[4,5,8,7,6,1,2,3]=>[8,6,4,5,7,3,2,1]=>{{1,8},{2,3,4,5,6,7}}=>1
[4,5,8,7,2,6,3,1]=>[7,6,4,5,2,8,1,3]=>{{1,7},{2,3,4,5,6,8}}=>0
[3,5,8,2,7,6,4,1]=>[7,5,3,1,6,8,2,4]=>{{1,2,4,5,6,7,8},{3}}=>5
[2,5,8,7,1,6,3,4]=>[7,2,5,6,4,8,3,1]=>{{1,3,4,5,6,7,8},{2}}=>6
[2,4,8,7,1,6,3,5]=>[7,2,4,6,3,8,5,1]=>{{1,3,4,5,6,7,8},{2}}=>6
[1,4,8,7,2,6,3,5]=>[1,7,4,6,3,8,5,2]=>{{1},{2,3,4,5,6,7,8}}=>0
[1,5,8,7,2,6,3,4]=>[1,7,5,6,4,8,3,2]=>{{1},{2,3,4,5,6,7,8}}=>0
[2,5,8,3,7,6,4,1]=>[7,2,5,1,6,8,3,4]=>{{1,3,4,5,6,7,8},{2}}=>6
[1,4,2,8,7,6,5,3]=>[1,6,2,4,7,8,3,5]=>{{1},{2,3,5,6,7,8},{4}}=>4
[4,3,1,8,7,6,5,2]=>[3,6,2,4,7,8,1,5]=>{{1,2,3,5,6,7,8},{4}}=>4
[4,2,1,8,7,6,5,3]=>[2,6,1,4,7,8,3,5]=>{{1,2,3,5,6,7,8},{4}}=>4
[3,8,2,1,7,5,4,6]=>[7,3,1,2,8,4,6,5]=>{{1,2,3,4,6,7},{5,8}}=>0
[8,4,2,6,1,5,3,7]=>[4,8,1,6,3,2,5,7]=>{{1,2,3,4,5,6,7,8}}=>0
[4,2,8,7,1,6,3,5]=>[2,7,4,6,3,8,5,1]=>{{1,2,3,4,5,6,7,8}}=>0
[5,3,8,1,7,6,4,2]=>[5,7,3,2,6,8,1,4]=>{{1,2,4,5,6,7,8},{3}}=>5
[6,8,3,2,7,5,4,1]=>[6,3,8,1,7,2,4,5]=>{{1,2,3,4,5,6,7,8}}=>0
[6,8,3,1,7,5,4,2]=>[6,3,8,2,7,1,4,5]=>{{1,6},{2,3,4,5,7,8}}=>0
[6,8,2,1,7,5,4,3]=>[8,6,1,3,7,2,4,5]=>{{1,3,4,5,7,8},{2,6}}=>2
[5,8,7,1,2,4,3,6]=>[8,5,7,3,4,1,6,2]=>{{1,2,3,4,5,6,7,8}}=>0
[6,8,1,2,7,5,4,3]=>[8,6,2,3,7,1,4,5]=>{{1,2,3,4,5,6,7,8}}=>0
[6,8,2,3,7,5,4,1]=>[8,6,1,2,7,3,4,5]=>{{1,2,3,4,5,6,7,8}}=>0
[5,2,8,3,7,6,4,1]=>[2,7,5,1,6,8,3,4]=>{{1,2,3,4,5,6,7,8}}=>0
[5,1,8,3,7,6,4,2]=>[7,1,5,2,6,8,3,4]=>{{1,2,3,4,5,6,7,8}}=>0
[5,1,8,7,2,6,3,4]=>[7,1,5,6,4,8,3,2]=>{{1,2,3,4,5,6,7,8}}=>0
[4,1,8,7,2,6,3,5]=>[7,1,4,6,3,8,5,2]=>{{1,2,3,4,5,6,7,8}}=>0
[4,1,3,8,7,6,5,2]=>[3,1,6,4,7,8,2,5]=>{{1,2,3,5,6,7,8},{4}}=>4
[1,5,2,6,4,8,3,7]=>[1,8,2,5,3,6,4,7]=>{{1},{2,3,4,5,7,8},{6}}=>2
[1,6,4,2,8,7,3,5]=>[1,4,8,3,6,7,5,2]=>{{1},{2,3,4,8},{5,6,7}}=>1
[1,7,5,2,6,3,8,4]=>[1,5,8,3,6,4,7,2]=>{{1},{2,3,4,5,6,8},{7}}=>1
[1,6,2,7,5,3,8,4]=>[1,6,2,5,8,4,7,3]=>{{1},{2,3,4,5,6,8},{7}}=>1
[1,5,7,4,2,8,3,6]=>[1,5,4,8,3,7,6,2]=>{{1},{2,3,4,5,8},{6,7}}=>1
[3,1,8,6,2,4,7,5]=>[6,1,3,7,4,5,8,2]=>{{1,2,4,5,6,7,8},{3}}=>5
[7,1,8,3,2,4,6,5]=>[8,1,7,2,4,5,3,6]=>{{1,2,4,5,6,8},{3,7}}=>1
[1,8,7,3,2,4,6,5]=>[1,7,8,2,4,5,3,6]=>{{1},{2,3,4,5,6,7,8}}=>0
[1,7,4,2,8,3,6,5]=>[1,4,8,3,7,5,2,6]=>{{1},{2,3,4,5,6,7,8}}=>0
[8,1,5,4,2,7,3,6]=>[4,1,5,7,3,8,6,2]=>{{1,2,4,6,7,8},{3,5}}=>3
[8,6,2,1,7,3,4,5]=>[6,8,1,3,7,5,4,2]=>{{1,3,4,5,6,7},{2,8}}=>0
[1,8,5,2,6,3,7,4]=>[1,5,7,3,6,4,8,2]=>{{1},{2,3,4,5,6,7,8}}=>0
[1,2,6,3,8,7,5,4]=>[1,2,8,3,6,7,4,5]=>{{1},{2},{3,4,5,6,7,8}}=>0
[1,6,2,7,3,8,5,4]=>[1,8,2,7,4,6,3,5]=>{{1},{2,3,4,5,7,8},{6}}=>2
[1,7,4,2,8,6,3,5]=>[1,4,7,3,6,8,5,2]=>{{1},{2,3,4,5,6,7,8}}=>0
[7,2,1,8,6,3,4,5]=>[2,7,1,6,8,5,4,3]=>{{1,2,3,4,5,6,7,8}}=>0
[1,8,7,3,2,6,4,5]=>[1,6,7,2,4,8,5,3]=>{{1},{2,3,4,5,6,7,8}}=>0
[1,2,8,7,5,3,6,4]=>[1,2,5,7,8,4,3,6]=>{{1},{2},{3,4,5,6,7,8}}=>0
[5,1,8,7,6,2,4,3]=>[8,1,5,6,7,4,2,3]=>{{1,2,3,5,7,8},{4,6}}=>2
[5,7,1,6,2,4,3,8]=>[7,5,2,6,4,1,3,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[6,4,1,5,2,7,3,8]=>[4,7,2,5,3,6,1,8]=>{{1,2,3,4,5,7},{6},{8}}=>1
[6,3,5,7,2,1,4,8]=>[3,7,6,5,2,4,1,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[6,3,5,8,2,1,7,4]=>[3,7,6,5,2,4,8,1]=>{{1,2,3,4,5,6,7,8}}=>0
[5,8,7,6,2,4,1,3]=>[8,5,6,7,3,1,4,2]=>{{1,2,3,5,6,8},{4,7}}=>1
[8,4,1,5,2,6,3,7]=>[4,6,2,5,3,8,1,7]=>{{1,2,3,4,5,6,7,8}}=>0
[6,3,5,8,2,1,4,7]=>[3,8,6,5,2,4,1,7]=>{{1,2,3,4,5,6,7,8}}=>0
[8,3,5,6,2,1,4,7]=>[3,8,5,6,2,4,1,7]=>{{1,2,3,5,7,8},{4,6}}=>2
[2,3,8,5,1,4,7,6]=>[5,2,3,7,4,1,8,6]=>{{1,4,5,6,7,8},{2},{3}}=>10
[8,3,5,7,2,1,6,4]=>[3,8,5,7,2,4,1,6]=>{{1,2,3,4,5,6,7,8}}=>0
[2,6,4,1,8,5,7,3]=>[4,2,7,3,6,1,8,5]=>{{1,3,4,5,6,7,8},{2}}=>6
[7,3,5,1,2,8,4,6]=>[3,8,5,2,4,7,6,1]=>{{1,2,3,4,5,8},{6,7}}=>1
[8,4,1,5,2,3,7,6]=>[4,7,2,5,3,1,8,6]=>{{1,2,3,4,5,6,7,8}}=>0
[8,3,5,7,2,4,1,6]=>[3,8,5,7,2,1,6,4]=>{{1,2,3,4,5,6,7,8}}=>0
[2,3,8,1,4,5,7,6]=>[7,2,3,1,4,5,8,6]=>{{1,4,5,6,7,8},{2},{3}}=>10
[1,8,2,3,4,5,6,9,7]=>[1,9,2,3,4,5,6,8,7]=>{{1},{2,3,4,5,6,7,9},{8}}=>1
[8,4,3,6,5,1,7,2]=>[3,4,6,5,7,2,8,1]=>{{1,2,3,4,5,6,7,8}}=>0
[8,5,6,3,4,1,7,2]=>[5,7,6,1,2,4,8,3]=>{{1,2,3,4,5,6,7,8}}=>0
[8,6,5,4,3,1,7,2]=>[4,5,6,7,1,3,8,2]=>{{1,2,4,5,7,8},{3,6}}=>2
[7,8,5,4,1,3,6,2]=>[5,4,7,8,3,1,2,6]=>{{1,2,3,4,5,6,7,8}}=>0
[6,8,5,4,2,1,7,3]=>[5,4,6,7,2,3,8,1]=>{{1,2,4,5,7,8},{3,6}}=>2
[4,1,3,7,6,2,5,8]=>[3,1,6,4,7,5,2,8]=>{{1,2,3,5,6,7},{4},{8}}=>3
[5,1,7,3,6,2,4,8]=>[7,1,5,2,6,4,3,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[7,1,6,5,2,4,3,8]=>[5,1,6,7,4,2,3,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[8,1,6,5,2,3,7,4]=>[5,1,6,7,4,3,8,2]=>{{1,2,4,5,7,8},{3,6}}=>2
[1,2,8,3,7,4,5,6]=>[1,2,7,3,8,5,6,4]=>{{1},{2},{3,4,5,6,7,8}}=>0
[8,1,7,2,6,3,5,4]=>[6,1,7,3,8,5,2,4]=>{{1,2,3,4,5,6,7,8}}=>0
[4,1,3,8,2,7,5,6]=>[3,1,7,4,2,8,6,5]=>{{1,2,3,5,6,7,8},{4}}=>4
[3,2,8,7,1,6,5,4]=>[2,6,3,7,4,8,1,5]=>{{1,2,4,5,6,7,8},{3}}=>5
[4,8,2,7,1,6,5,3]=>[7,4,1,6,3,8,2,5]=>{{1,2,3,4,5,6,7,8}}=>0
[7,8,6,1,5,3,4,2]=>[6,5,7,3,8,2,1,4]=>{{1,2,3,4,5,6,7,8}}=>0
[8,7,6,1,5,4,3,2]=>[5,6,7,3,8,1,2,4]=>{{1,2,3,4,5,6,7,8}}=>0
[1,6,8,4,2,7,3,5]=>[1,6,4,8,3,7,5,2]=>{{1},{2,3,4,5,6,7,8}}=>0
[1,5,4,8,2,7,3,6]=>[1,5,7,4,3,8,6,2]=>{{1},{2,3,5,6,7,8},{4}}=>4
[8,4,3,1,2,5,7,6]=>[3,4,7,2,1,5,8,6]=>{{1,3,5,6,7,8},{2,4}}=>4
[8,7,1,2,3,6,5,4]=>[6,7,2,3,4,8,1,5]=>{{1,2,3,4,5,6,7,8}}=>0
[5,8,1,3,2,4,7,6]=>[7,5,2,1,4,3,8,6]=>{{1,2,3,4,5,6,7,8}}=>0
[4,8,2,1,3,5,7,6]=>[7,4,1,3,2,5,8,6]=>{{1,2,3,4,5,6,7,8}}=>0
[3,2,8,1,4,5,7,6]=>[2,7,3,1,4,5,8,6]=>{{1,2,4,5,6,7,8},{3}}=>5
[7,1,2,3,4,6,5,8]=>[6,1,2,3,4,7,5,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[8,1,2,3,4,5,7,6]=>[7,1,2,3,4,5,8,6]=>{{1,2,3,4,5,6,7,8}}=>0
[6,7,4,5,1,8,3,2]=>[5,4,8,7,3,6,1,2]=>{{1,2,3,4,5,7,8},{6}}=>2
[8,2,4,5,1,6,3,7]=>[2,4,6,5,3,8,1,7]=>{{1,2,3,4,5,6,7,8}}=>0
[8,1,3,2,5,4,6,7]=>[3,1,5,2,8,4,6,7]=>{{1,2,3,4,5,6,7,8}}=>0
[8,2,3,1,5,6,4,7]=>[2,3,5,1,6,8,4,7]=>{{1,2,3,4,5,6,7,8}}=>0
[2,8,3,1,5,7,4,6]=>[3,2,5,1,7,8,6,4]=>{{1,3,4,5,6,7,8},{2}}=>6
[2,4,1,6,8,7,5,3]=>[8,2,1,4,6,7,3,5]=>{{1,3,5,6,7,8},{2},{4}}=>9
[5,2,7,8,1,6,3,4]=>[2,7,6,5,4,8,3,1]=>{{1,2,3,6,7,8},{4,5}}=>3
[6,7,3,1,5,8,4,2]=>[5,3,7,2,8,6,1,4]=>{{1,2,3,4,5,7,8},{6}}=>2
[6,7,2,1,8,5,4,3]=>[8,7,1,3,6,2,4,5]=>{{1,2,3,4,5,6,7,8}}=>0
[6,7,1,3,4,8,5,2]=>[8,7,2,1,3,6,4,5]=>{{1,2,3,4,5,7,8},{6}}=>2
[5,1,7,3,4,8,6,2]=>[8,1,5,2,3,7,4,6]=>{{1,2,4,6,7,8},{3,5}}=>3
[5,1,7,8,2,3,6,4]=>[8,1,7,5,4,3,2,6]=>{{1,2,3,6,7,8},{4,5}}=>3
[4,1,8,7,2,3,6,5]=>[8,1,4,7,3,5,2,6]=>{{1,2,3,4,5,6,7,8}}=>0
[3,8,1,2,7,4,5,6]=>[7,3,2,1,8,5,6,4]=>{{1,4,5,6,7,8},{2,3}}=>5
[8,2,1,3,4,6,5,7]=>[2,6,1,3,4,8,5,7]=>{{1,2,3,4,5,6,7,8}}=>0
[1,8,2,3,4,5,7,6]=>[1,7,2,3,4,5,8,6]=>{{1},{2,3,4,5,6,7,8}}=>0
[1,2,8,3,4,6,7,5]=>[1,2,6,3,4,7,8,5]=>{{1},{2},{3,4,5,6,7,8}}=>0
[5,7,2,3,8,1,6,4]=>[8,7,1,2,5,4,3,6]=>{{1,2,3,4,6,7,8},{5}}=>3
[5,6,1,3,2,8,7,4]=>[7,5,2,1,4,6,8,3]=>{{1,2,3,4,5,7,8},{6}}=>2
[5,6,3,1,2,8,7,4]=>[5,3,7,2,4,6,8,1]=>{{1,2,3,4,5,7,8},{6}}=>2
[5,7,3,2,8,1,6,4]=>[7,3,8,1,5,4,2,6]=>{{1,2,3,4,6,7,8},{5}}=>3
[5,7,3,2,8,6,1,4]=>[6,3,7,1,5,8,4,2]=>{{1,2,3,4,6,7,8},{5}}=>3
[6,7,3,8,2,1,5,4]=>[7,3,8,6,2,5,1,4]=>{{1,7},{2,3,4,5,6,8}}=>0
[1,5,7,4,8,3,6,2]=>[1,7,4,8,5,2,3,6]=>{{1},{2,3,4,6,7,8},{5}}=>3
[1,5,7,4,8,6,3,2]=>[1,6,4,7,5,8,2,3]=>{{1},{2,3,4,6,7,8},{5}}=>3
[6,7,3,8,5,2,1,4]=>[6,3,7,5,8,2,4,1]=>{{1,2,3,4,5,6,7,8}}=>0
[6,7,8,3,1,4,2,5]=>[8,7,6,1,4,3,5,2]=>{{1,2,4,5,7,8},{3,6}}=>2
[6,7,1,8,3,2,5,4]=>[8,7,2,6,3,5,1,4]=>{{1,2,3,4,5,6,7,8}}=>0
[6,2,7,8,1,4,5,3]=>[2,8,7,6,4,3,1,5]=>{{1,2,3,4,5,6,7,8}}=>0
[6,2,7,8,1,5,4,3]=>[2,8,7,6,4,1,3,5]=>{{1,2,4,5,6,8},{3,7}}=>1
[6,2,7,8,5,4,1,3]=>[2,7,6,5,8,1,4,3]=>{{1,2,3,4,5,6,7,8}}=>0
[5,7,1,2,8,6,3,4]=>[7,6,2,3,5,8,4,1]=>{{1,2,3,4,6,7,8},{5}}=>3
[1,5,7,3,8,6,4,2]=>[1,7,6,2,5,8,3,4]=>{{1},{2,3,4,6,7,8},{5}}=>3
[1,6,7,8,3,5,4,2]=>[1,8,7,6,3,2,4,5]=>{{1},{2,3,4,5,6,7,8}}=>0
[6,1,7,8,2,5,4,3]=>[8,1,7,6,4,2,3,5]=>{{1,2,4,5,6,8},{3,7}}=>1
[6,7,1,8,2,5,3,4]=>[8,7,2,6,4,1,5,3]=>{{1,2,3,4,5,6,7,8}}=>0
[6,7,1,8,5,2,3,4]=>[7,6,2,5,8,4,3,1]=>{{1,2,3,4,5,6,7,8}}=>0
[6,1,7,8,5,4,2,3]=>[7,1,6,5,8,2,4,3]=>{{1,2,3,4,5,6,7,8}}=>0
[6,7,8,4,1,3,2,5]=>[7,6,4,8,3,2,5,1]=>{{1,3,4,5,7,8},{2,6}}=>2
[5,8,1,4,7,2,3,6]=>[5,4,2,8,7,3,6,1]=>{{1,2,3,4,5,6,7,8}}=>0
[3,6,4,8,5,7,1,2]=>[6,3,5,4,8,7,2,1]=>{{1,2,3,5,6,7,8},{4}}=>4
[6,3,8,4,2,7,1,5]=>[4,6,3,8,1,7,5,2]=>{{1,2,4,5,6,7,8},{3}}=>5
[5,8,1,7,6,2,4,3]=>[8,5,2,6,7,4,1,3]=>{{1,2,3,5,7,8},{4,6}}=>2
[3,6,4,2,8,7,5,1]=>[8,3,4,1,6,7,2,5]=>{{1,2,3,4,5,6,7,8}}=>0
[5,8,1,4,6,7,2,3]=>[5,4,2,8,6,7,3,1]=>{{1,2,3,4,5,6,7,8}}=>0
[4,3,8,7,1,5,6,2]=>[4,8,3,7,2,1,5,6]=>{{1,2,4,5,6,7,8},{3}}=>5
[7,5,3,6,4,2,8,1]=>[3,5,8,6,1,2,7,4]=>{{1,2,3,4,5,6,8},{7}}=>1
[8,5,2,6,4,7,3,1]=>[5,8,1,6,2,7,3,4]=>{{1,2,3,4,5,6,7,8}}=>0
[6,2,7,4,3,5,8,1]=>[2,6,4,8,1,3,7,5]=>{{1,2,3,4,5,6,8},{7}}=>1
[8,5,4,1,7,2,6,3]=>[4,5,8,3,7,2,1,6]=>{{1,2,3,4,5,6,7,8}}=>0
[7,5,4,1,8,3,2,6]=>[4,7,8,3,5,1,6,2]=>{{1,2,3,4,6,7,8},{5}}=>3
[1,6,5,2,8,3,4,7]=>[1,6,8,3,5,4,2,7]=>{{1},{2,3,4,6,7,8},{5}}=>3
[1,6,5,3,4,8,2,7]=>[1,5,8,2,3,6,4,7]=>{{1},{2,3,4,5,7,8},{6}}=>2
[5,8,2,6,4,7,3,1]=>[8,5,1,6,2,7,3,4]=>{{1,3,4,6,7,8},{2,5}}=>3
[3,8,6,2,5,7,4,1]=>[6,3,5,1,8,7,2,4]=>{{1,2,3,4,5,6,7,8}}=>0
[2,8,1,7,3,5,6,4]=>[7,2,1,8,4,3,5,6]=>{{1,3,4,5,6,7,8},{2}}=>6
[7,1,2,8,3,5,4,6]=>[8,1,2,7,4,3,6,5]=>{{1,2,3,4,5,6,7,8}}=>0
[7,2,6,1,8,4,3,5]=>[2,7,8,3,6,4,5,1]=>{{1,2,3,4,5,6,7,8}}=>0
[8,3,1,4,7,5,6,2]=>[3,4,2,7,8,1,5,6]=>{{1,2,3,4,5,6,7,8}}=>0
[4,7,5,6,8,3,2,1]=>[8,4,7,6,5,1,2,3]=>{{1,2,3,4,6,7,8},{5}}=>3
[5,7,3,8,2,6,4,1]=>[6,3,7,5,2,8,1,4]=>{{1,2,3,4,5,6,7,8}}=>0
[5,2,6,8,7,3,4,1]=>[2,8,7,5,6,3,1,4]=>{{1,2,3,4,5,6,7,8}}=>0
[3,6,8,1,7,2,5,4]=>[8,6,3,2,7,5,1,4]=>{{1,2,4,5,6,7,8},{3}}=>5
[7,2,8,6,4,3,5,1]=>[2,7,6,8,1,4,3,5]=>{{1,2,3,4,5,6,7,8}}=>0
[2,1,8,7,5,6,3,4]=>[2,1,5,6,7,8,4,3]=>{{1,2},{3,4,5,6,7,8}}=>0
[7,1,8,6,5,3,2,4]=>[6,1,5,7,8,3,4,2]=>{{1,2,3,5,6,8},{4,7}}=>1
[5,1,6,8,7,4,2,3]=>[8,1,7,5,6,2,4,3]=>{{1,2,3,4,5,6,7,8}}=>0
[6,8,4,7,5,3,2,1]=>[6,4,7,5,8,1,2,3]=>{{1,6},{2,3,4,5,7,8}}=>0
[5,8,6,7,3,4,1,2]=>[8,5,7,6,2,1,4,3]=>{{1,3,4,6,7,8},{2,5}}=>3
[1,8,6,7,4,5,2,3]=>[1,6,8,7,2,3,5,4]=>{{1},{2,3,4,5,6,7,8}}=>0
[3,8,5,7,4,6,1,2]=>[7,3,5,6,1,8,4,2]=>{{1,2,3,4,5,6,7,8}}=>0
[4,8,5,7,3,6,1,2]=>[7,4,6,5,1,8,3,2]=>{{1,2,3,4,5,6,7,8}}=>0
[7,8,3,6,4,5,1,2]=>[6,3,7,8,1,2,5,4]=>{{1,2,3,5,6,7},{4,8}}=>0
[5,8,3,7,4,6,1,2]=>[5,3,7,6,1,8,4,2]=>{{1,5},{2,3,4,6,7,8}}=>0
[4,7,2,8,5,6,1,3]=>[6,5,1,4,7,8,3,2]=>{{1,2,3,5,6,7,8},{4}}=>4
[2,7,4,8,5,6,1,3]=>[5,2,6,4,7,8,3,1]=>{{1,3,5,6,7,8},{2},{4}}=>9
[5,8,2,7,4,6,1,3]=>[7,5,1,6,2,8,4,3]=>{{1,3,4,6,7,8},{2,5}}=>3
[6,8,2,7,4,5,1,3]=>[8,6,1,7,2,3,5,4]=>{{1,2,3,4,5,6,7,8}}=>0
[7,8,2,6,4,5,1,3]=>[7,6,1,8,2,3,5,4]=>{{1,2,3,5,6,7},{4,8}}=>0
[5,8,1,7,4,6,2,3]=>[7,5,2,6,1,8,4,3]=>{{1,2,3,4,5,6,7,8}}=>0
[1,7,4,8,5,6,2,3]=>[1,5,6,4,7,8,3,2]=>{{1},{2,3,5,6,7,8},{4}}=>4
[2,8,5,6,1,7,3,4]=>[5,2,8,6,4,7,3,1]=>{{1,3,4,5,6,7,8},{2}}=>6
[6,8,1,7,3,5,2,4]=>[8,6,2,7,3,1,5,4]=>{{1,2,3,4,5,6,7,8}}=>0
[6,8,2,7,3,5,1,4]=>[8,6,1,7,3,2,5,4]=>{{1,3,4,5,7,8},{2,6}}=>2
[4,8,2,7,3,6,1,5]=>[7,4,1,6,2,8,5,3]=>{{1,2,3,4,5,6,7,8}}=>0
[2,8,4,7,3,6,1,5]=>[4,2,7,6,1,8,5,3]=>{{1,3,4,5,6,7,8},{2}}=>6
[1,8,5,7,3,6,2,4]=>[1,5,7,6,3,8,4,2]=>{{1},{2,3,4,5,6,7,8}}=>0
[3,8,6,7,2,5,1,4]=>[8,3,6,7,2,1,5,4]=>{{1,2,3,4,5,6,7,8}}=>0
[4,8,6,7,2,5,1,3]=>[8,4,7,6,2,1,5,3]=>{{1,2,3,4,5,6,7,8}}=>0
[5,8,6,7,2,4,1,3]=>[8,5,7,6,3,1,4,2]=>{{1,2,3,4,5,6,7,8}}=>0
[6,8,5,7,1,4,2,3]=>[7,5,8,6,4,1,3,2]=>{{1,2,3,4,5,6,7,8}}=>0
[5,8,6,7,1,4,2,3]=>[8,5,7,6,4,1,3,2]=>{{1,2,4,5,6,8},{3,7}}=>1
[6,8,4,7,1,5,2,3]=>[7,4,8,6,3,1,5,2]=>{{1,2,3,4,5,6,7,8}}=>0
[7,8,4,6,1,5,2,3]=>[6,4,8,7,3,1,5,2]=>{{1,6},{2,3,4,5,7,8}}=>0
[7,8,3,6,1,5,2,4]=>[6,3,7,8,4,1,5,2]=>{{1,6},{2,3,4,5,7,8}}=>0
[1,6,2,8,4,7,3,5]=>[1,8,2,6,3,7,5,4]=>{{1},{2,3,4,5,6,7,8}}=>0
[2,6,1,8,4,7,3,5]=>[8,2,1,6,3,7,5,4]=>{{1,3,4,5,6,7,8},{2}}=>6
[4,8,1,6,2,7,3,5]=>[8,4,2,6,3,7,5,1]=>{{1,8},{2,3,4,5,6,7}}=>1
[7,8,2,5,1,6,3,4]=>[6,5,1,7,4,8,3,2]=>{{1,2,3,4,5,6,7,8}}=>0
[4,8,2,6,1,7,3,5]=>[8,4,1,6,3,7,5,2]=>{{1,2,3,4,5,6,7,8}}=>0
[1,7,3,6,2,8,4,5]=>[1,3,7,8,4,6,5,2]=>{{1},{2,3,4,5,7,8},{6}}=>2
[6,7,4,5,2,8,1,3]=>[5,4,8,7,2,6,3,1]=>{{1,2,3,4,5,7,8},{6}}=>2
[5,7,4,6,3,8,1,2]=>[7,4,8,5,1,6,3,2]=>{{1,2,3,4,5,7,8},{6}}=>2
[5,8,4,6,3,7,1,2]=>[6,4,8,5,1,7,3,2]=>{{1,2,3,4,5,6,7,8}}=>0
[5,6,4,8,3,7,1,2]=>[6,5,8,4,1,7,3,2]=>{{1,2,3,5,6,7,8},{4}}=>4
[5,6,3,8,2,7,1,4]=>[6,3,8,5,2,7,4,1]=>{{1,2,3,4,5,6,7,8}}=>0
[6,8,4,5,2,7,1,3]=>[5,4,8,6,2,7,3,1]=>{{1,2,3,4,5,6,7,8}}=>0
[7,8,4,5,2,6,1,3]=>[5,4,7,6,2,8,3,1]=>{{1,2,4,5,6,8},{3,7}}=>1
[5,6,3,8,2,4,1,7]=>[6,3,8,5,2,1,4,7]=>{{1,6},{2,3,4,5,7,8}}=>0
[4,8,3,6,2,5,1,7]=>[4,3,8,6,1,2,5,7]=>{{1,2,3,4,5,6,7,8}}=>0
[5,8,3,6,2,4,1,7]=>[5,3,8,6,2,1,4,7]=>{{1,2,3,4,5,6,7,8}}=>0
[7,8,3,5,2,4,1,6]=>[5,3,7,8,2,1,6,4]=>{{1,2,3,5,6,7},{4,8}}=>0
[7,8,3,5,2,6,1,4]=>[5,3,6,7,2,8,4,1]=>{{1,2,3,5,6,8},{4,7}}=>1
[4,7,3,8,2,6,1,5]=>[6,3,7,4,1,8,5,2]=>{{1,2,3,5,6,7,8},{4}}=>4
[5,7,3,6,2,4,1,8]=>[5,3,7,6,2,1,4,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[6,7,3,5,2,8,1,4]=>[5,3,7,8,2,6,4,1]=>{{1,2,3,4,5,7,8},{6}}=>2
[6,8,5,7,2,3,1,4]=>[7,5,8,6,3,2,4,1]=>{{1,2,3,4,5,6,7,8}}=>0
[6,7,4,8,2,3,1,5]=>[7,6,8,4,2,3,5,1]=>{{1,2,3,5,6,7,8},{4}}=>4
[6,7,3,8,2,4,1,5]=>[7,3,8,6,2,4,5,1]=>{{1,2,3,5,7,8},{4,6}}=>2
[5,7,3,4,2,8,1,6]=>[4,3,5,8,1,7,6,2]=>{{1,2,3,4,5,8},{6,7}}=>1
[6,8,3,7,2,4,1,5]=>[6,3,8,7,2,4,5,1]=>{{1,2,3,4,5,6,7,8}}=>0
[5,8,3,7,2,4,1,6]=>[5,3,8,7,2,1,6,4]=>{{1,2,3,4,5,6,7,8}}=>0
[4,8,3,7,2,5,1,6]=>[4,3,8,7,1,2,6,5]=>{{1,2,3,4,5,6,7,8}}=>0
[4,7,3,8,2,5,1,6]=>[7,3,8,4,1,2,6,5]=>{{1,2,3,5,6,7,8},{4}}=>4
[6,8,3,4,2,7,1,5]=>[4,3,6,8,1,7,5,2]=>{{1,2,3,4,5,6,7,8}}=>0
[4,7,5,2,1,8,3,6]=>[8,4,5,2,3,7,6,1]=>{{1,8},{2,4},{3,5},{6,7}}=>3
[4,8,5,2,1,7,6,3]=>[7,4,5,2,3,8,1,6]=>{{1,7},{2,4},{3,5},{6,8}}=>2
[4,6,5,2,1,3,8,7]=>[6,4,5,2,3,1,8,7]=>{{1,6},{2,4},{3,5},{7,8}}=>2
[5,6,4,2,3,1,8,7]=>[5,4,6,2,1,3,8,7]=>{{1,5},{2,4},{3,6},{7,8}}=>1
[6,4,5,3,1,2,8,7]=>[4,6,5,1,3,2,8,7]=>{{1,4},{2,6},{3,5},{7,8}}=>1
[5,4,6,1,3,2,8,7]=>[5,6,4,3,1,2,8,7]=>{{1,5},{2,6},{3,4},{7,8}}=>2
[4,6,8,1,7,3,2,5]=>[8,6,4,3,7,2,5,1]=>{{1,8},{2,6},{3,4},{5,7}}=>4
[4,7,8,1,6,3,5,2]=>[7,6,4,3,8,2,1,5]=>{{1,7},{2,6},{3,4},{5,8}}=>3
[7,4,8,1,6,5,3,2]=>[6,7,4,3,8,1,2,5]=>{{1,6},{2,7},{3,4},{5,8}}=>2
[5,4,8,1,3,7,6,2]=>[5,7,4,3,1,8,2,6]=>{{1,5},{2,7},{3,4},{6,8}}=>2
[8,4,5,3,1,7,6,2]=>[4,7,5,1,3,8,2,6]=>{{1,4},{2,7},{3,5},{6,8}}=>1
[5,4,7,1,3,8,2,6]=>[5,8,4,3,1,7,6,2]=>{{1,5},{2,8},{3,4},{6,7}}=>3
[6,4,8,1,7,5,2,3]=>[6,8,4,3,7,1,5,2]=>{{1,6},{2,8},{3,4},{5,7}}=>3
[5,6,8,7,2,1,3,4]=>[8,7,5,6,3,4,2,1]=>{{1,8},{2,7},{3,5},{4,6}}=>5
[8,5,7,6,4,2,1,3]=>[5,8,6,7,1,3,4,2]=>{{1,5},{2,8},{3,6},{4,7}}=>2
[6,3,2,8,7,4,1,5]=>[3,8,1,6,7,4,5,2]=>{{1,3},{2,8},{4,6},{5,7}}=>2
[2,1,6,8,7,4,3,5]=>[2,1,8,6,7,4,5,3]=>{{1,2},{3,8},{4,6},{5,7}}=>2
[2,1,7,8,6,4,5,3]=>[2,1,7,6,8,4,3,5]=>{{1,2},{3,7},{4,6},{5,8}}=>1
[7,3,2,8,6,4,5,1]=>[3,7,1,6,8,4,2,5]=>{{1,3},{2,7},{4,6},{5,8}}=>1
[7,6,8,5,2,4,3,1]=>[6,7,5,8,3,1,2,4]=>{{1,6},{2,7},{3,5},{4,8}}=>2
[5,7,8,6,2,3,1,4]=>[8,6,5,7,3,2,4,1]=>{{1,8},{2,6},{3,5},{4,7}}=>4
[5,8,7,6,3,2,1,4]=>[8,5,6,7,2,3,4,1]=>{{1,8},{2,5},{3,6},{4,7}}=>3
[6,8,7,5,3,2,4,1]=>[7,5,6,8,2,3,1,4]=>{{1,7},{2,5},{3,6},{4,8}}=>2
[5,8,4,2,3,7,6,1]=>[5,4,7,2,1,8,3,6]=>{{1,5},{2,4},{3,7},{6,8}}=>1
[4,8,6,2,7,3,1,5]=>[8,4,6,2,7,3,5,1]=>{{1,8},{2,4},{3,6},{5,7}}=>3
[3,6,1,8,7,4,2,5]=>[8,3,2,6,7,4,5,1]=>{{1,8},{2,3},{4,6},{5,7}}=>3
[3,7,1,8,6,4,5,2]=>[7,3,2,6,8,4,1,5]=>{{1,7},{2,3},{4,6},{5,8}}=>2
[3,8,1,6,7,5,2,4]=>[6,3,2,8,7,1,5,4]=>{{1,6},{2,3},{4,8},{5,7}}=>2
[3,7,1,6,8,2,5,4]=>[7,3,2,8,6,5,1,4]=>{{1,7},{2,3},{4,8},{5,6}}=>3
[4,7,6,2,8,1,3,5]=>[8,4,7,2,6,5,3,1]=>{{1,8},{2,4},{3,7},{5,6}}=>4
[6,7,4,2,8,1,5,3]=>[7,4,8,2,6,5,1,3]=>{{1,7},{2,4},{3,8},{5,6}}=>3
[6,8,4,2,7,5,1,3]=>[6,4,8,2,7,1,5,3]=>{{1,6},{2,4},{3,8},{5,7}}=>2
[2,1,8,6,7,5,3,4]=>[2,1,6,8,7,3,5,4]=>{{1,2},{3,6},{4,8},{5,7}}=>1
[8,3,2,6,7,5,1,4]=>[3,6,1,8,7,2,5,4]=>{{1,3},{2,6},{4,8},{5,7}}=>1
[5,8,6,7,3,1,2,4]=>[8,5,7,6,2,4,3,1]=>{{1,8},{2,5},{3,7},{4,6}}=>4
[6,7,5,8,1,3,4,2]=>[7,6,8,5,4,2,1,3]=>{{1,7},{2,6},{3,8},{4,5}}=>4
[7,6,5,8,1,4,3,2]=>[6,7,8,5,4,1,2,3]=>{{1,6},{2,7},{3,8},{4,5}}=>3
[8,6,5,7,4,1,3,2]=>[5,7,8,6,1,4,2,3]=>{{1,5},{2,7},{3,8},{4,6}}=>2
[7,6,4,3,8,1,5,2]=>[4,7,8,1,6,5,2,3]=>{{1,4},{2,7},{3,8},{5,6}}=>2
[7,3,2,6,8,1,5,4]=>[3,7,1,8,6,5,2,4]=>{{1,3},{2,7},{4,8},{5,6}}=>2
[2,1,7,6,8,3,5,4]=>[2,1,7,8,6,5,3,4]=>{{1,2},{3,7},{4,8},{5,6}}=>2
[7,5,6,8,1,4,2,3]=>[6,8,7,5,4,1,3,2]=>{{1,6},{2,8},{3,7},{4,5}}=>4
[6,5,7,8,1,2,4,3]=>[7,8,6,5,4,3,1,2]=>{{1,7},{2,8},{3,6},{4,5}}=>5
[8,1,3,7,4,6,5,2]=>[3,1,6,7,2,8,4,5]=>{{1,2,3,5,6,8},{4,7}}=>1
[5,2,8,7,4,6,1,3]=>[2,7,5,6,1,8,4,3]=>{{1,2,3,4,5,6,7,8}}=>0
[8,1,3,4,5,6,7,2]=>[3,1,4,5,6,7,8,2]=>{{1,2,3,4,5,6,7,8}}=>0
[1,7,2,4,5,6,3,8]=>[1,4,2,5,6,7,3,8]=>{{1},{2,3,4,5,6,7},{8}}=>0
[8,5,2,1,4,3,7,6]=>[5,7,1,3,2,4,8,6]=>{{1,2,3,4,5,6,7,8}}=>0
[6,5,2,8,4,1,3,7]=>[6,8,1,5,2,4,3,7]=>{{1,2,3,4,5,6,7,8}}=>0
[3,6,1,8,5,2,4,7]=>[6,3,2,5,8,4,1,7]=>{{1,4,5,6,7,8},{2,3}}=>5
[6,3,8,5,2,1,4,7]=>[5,6,3,8,2,4,1,7]=>{{1,2,4,5,6,7,8},{3}}=>5
[8,3,1,5,2,4,7,6]=>[3,5,2,7,4,1,8,6]=>{{1,2,3,4,5,6,7,8}}=>0
[6,1,2,3,8,5,7,4]=>[7,1,2,3,6,4,8,5]=>{{1,2,3,4,5,6,7,8}}=>0
[7,2,1,3,8,6,4,5]=>[2,7,1,3,6,8,5,4]=>{{1,2,3,4,5,6,7,8}}=>0
[5,2,7,3,1,8,4,6]=>[2,8,5,1,4,7,6,3]=>{{1,2,3,4,5,8},{6,7}}=>1
[8,7,2,6,3,4,1,5]=>[6,7,1,8,3,4,5,2]=>{{1,2,3,4,5,6,7,8}}=>0
[4,8,1,6,3,2,7,5]=>[7,4,2,6,1,5,8,3]=>{{1,2,3,4,5,6,7,8}}=>0
[8,1,6,7,4,3,2,5]=>[6,1,8,7,2,4,5,3]=>{{1,2,4,5,6,7},{3,8}}=>0
[2,8,1,3,6,4,7,5]=>[6,2,1,3,7,5,8,4]=>{{1,3,4,5,6,7,8},{2}}=>6
[6,8,2,3,4,1,5,7]=>[8,6,1,2,3,5,4,7]=>{{1,2,3,4,5,6,7,8}}=>0
[9,8,7,6,5,4,3,2,1,10]=>[5,6,7,8,9,1,2,3,4,10]=>{{1,2,3,4,5,6,7,8,9},{10}}=>0
[1,6,2,4,8,5,3,7]=>[1,4,2,8,6,3,5,7]=>{{1},{2,3,4,5,6,7,8}}=>0
[1,6,2,4,7,5,3,8]=>[1,4,2,7,6,3,5,8]=>{{1},{2,3,4,5,6,7},{8}}=>0
[1,7,3,8,5,2,4,6]=>[1,3,7,5,8,4,6,2]=>{{1},{2,3,4,5,6,7,8}}=>0
[1,7,3,2,8,6,4,5]=>[1,3,7,2,6,8,5,4]=>{{1},{2,3,4,5,6,7,8}}=>0
[7,2,3,1,8,5,6,4]=>[2,3,8,1,7,4,5,6]=>{{1,2,3,4,6,8},{5,7}}=>1
[8,2,5,1,7,3,4,6]=>[2,5,8,3,7,4,6,1]=>{{1,2,3,4,5,6,7,8}}=>0
[1,3,6,4,8,5,7,2]=>[1,4,3,7,6,2,8,5]=>{{1},{2,4,5,6,7,8},{3}}=>5
[8,2,6,4,3,1,7,5]=>[2,4,6,7,1,5,8,3]=>{{1,2,3,4,5,6,7,8}}=>0
[1,2,8,4,3,5,6,7]=>[1,2,4,8,3,5,6,7]=>{{1},{2},{3,4,5,6,7,8}}=>0
[5,3,8,1,2,7,4,6]=>[5,7,3,2,4,8,6,1]=>{{1,2,4,5,6,7,8},{3}}=>5
[5,1,8,3,2,6,4,7]=>[6,1,5,2,4,8,3,7]=>{{1,2,3,4,5,6,7,8}}=>0
[5,7,3,1,2,6,4,8]=>[5,3,6,2,4,7,1,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[1,5,8,4,2,7,3,6]=>[1,5,4,7,3,8,6,2]=>{{1},{2,3,4,5,6,7,8}}=>0
[6,3,4,1,2,5,8,7]=>[3,6,4,2,1,5,8,7]=>{{1,2,3,4,5,6},{7,8}}=>0
[1,8,3,2,4,5,6,7]=>[1,3,8,2,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>0
[7,2,3,1,4,5,8,6]=>[2,3,8,1,4,5,7,6]=>{{1,2,3,4,5,6,8},{7}}=>1
[8,6,1,4,3,2,5,7]=>[4,6,2,8,1,5,3,7]=>{{1,2,3,4,5,6,7,8}}=>0
[8,3,1,6,5,2,4,7]=>[3,5,2,6,8,4,1,7]=>{{1,2,3,5,7,8},{4,6}}=>2
[8,1,2,6,4,5,3,7]=>[6,1,2,8,3,4,5,7]=>{{1,2,3,4,5,6,7,8}}=>0
[8,1,2,6,5,4,3,7]=>[5,1,2,6,8,3,4,7]=>{{1,2,3,4,5,6,7,8}}=>0
[5,1,4,8,2,7,3,6]=>[5,1,7,4,3,8,6,2]=>{{1,2,3,5,6,7,8},{4}}=>4
[1,4,2,8,6,7,3,5]=>[1,6,2,4,8,7,5,3]=>{{1},{2,3,5,6,7,8},{4}}=>4
[1,8,7,3,4,2,5,6]=>[1,7,8,2,3,5,6,4]=>{{1},{2,3,4,5,6,7,8}}=>0
[3,1,7,8,2,6,4,5]=>[7,1,3,6,4,8,5,2]=>{{1,2,4,5,6,7,8},{3}}=>5
[1,4,2,7,3,8,6,5]=>[1,8,2,4,3,7,5,6]=>{{1},{2,3,5,6,7,8},{4}}=>4
[3,1,7,2,8,6,4,5]=>[7,1,3,2,6,8,5,4]=>{{1,2,4,5,6,7,8},{3}}=>5
[3,7,8,4,2,5,1,6]=>[7,4,3,8,1,2,6,5]=>{{1,2,4,5,6,7,8},{3}}=>5
[5,6,3,7,2,1,4,8]=>[6,3,7,5,2,4,1,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[3,5,4,2,8,6,1,7]=>[6,3,4,1,5,8,2,7]=>{{1,2,3,4,6,7,8},{5}}=>3
[7,4,3,2,1,8,5,6]=>[3,4,8,1,2,7,6,5]=>{{1,2,3,4,5,8},{6,7}}=>1
[5,6,3,8,2,1,7,4]=>[6,3,7,5,2,4,8,1]=>{{1,2,3,4,5,6,7,8}}=>0
[8,5,4,2,6,7,1,3]=>[4,5,8,2,6,7,3,1]=>{{1,2,3,4,5,6,7,8}}=>0
[7,4,3,2,1,6,8,5]=>[3,4,6,1,2,8,7,5]=>{{1,2,3,4,5,6,8},{7}}=>1
[8,4,3,2,1,6,7,5]=>[3,4,6,1,2,7,8,5]=>{{1,2,3,4,5,6,7,8}}=>0
[8,4,3,2,1,5,7,6]=>[3,4,7,1,2,5,8,6]=>{{1,2,3,4,5,6,7,8}}=>0
[7,4,3,2,1,5,8,6]=>[3,4,8,1,2,5,7,6]=>{{1,2,3,4,5,6,8},{7}}=>1
[6,4,3,2,1,5,8,7]=>[3,4,6,1,2,5,8,7]=>{{1,2,3,4,5,6},{7,8}}=>0
[6,8,3,7,5,1,4,2]=>[5,3,7,6,8,4,1,2]=>{{1,2,3,5,7,8},{4,6}}=>2
[4,2,5,3,8,1,6,7]=>[2,8,4,1,5,3,6,7]=>{{1,2,3,4,6,7,8},{5}}=>3
[4,2,5,8,3,1,6,7]=>[2,8,5,4,1,3,6,7]=>{{1,2,3,5,6,7,8},{4}}=>4
[4,1,5,3,8,2,6,7]=>[8,1,4,2,5,3,6,7]=>{{1,2,3,4,6,7,8},{5}}=>3
[4,1,5,8,3,2,6,7]=>[8,1,5,4,2,3,6,7]=>{{1,2,3,5,6,7,8},{4}}=>4
[4,3,1,7,5,2,6,8]=>[3,5,2,4,7,1,6,8]=>{{1,2,3,5,6,7},{4},{8}}=>3
[4,6,3,1,7,2,5,8]=>[4,3,7,2,6,5,1,8]=>{{1,2,3,4,7},{5,6},{8}}=>1
[4,6,7,2,3,1,5,8]=>[7,6,4,2,1,5,3,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[4,6,2,1,7,3,5,8]=>[7,4,1,3,6,5,2,8]=>{{1,2,3,4,7},{5,6},{8}}=>1
[3,6,2,1,4,7,5,8]=>[7,3,1,2,4,6,5,8]=>{{1,2,3,4,5,7},{6},{8}}=>1
[7,2,1,4,6,3,8,5]=>[2,4,1,6,8,5,7,3]=>{{1,2,3,4,5,6,8},{7}}=>1
[7,3,1,4,6,8,2,5]=>[3,4,2,7,8,6,5,1]=>{{1,2,3,4,5,7,8},{6}}=>2
[4,2,1,7,5,3,6,8]=>[2,5,1,4,7,3,6,8]=>{{1,2,3,5,6,7},{4},{8}}=>3
[7,4,1,5,6,2,3,8]=>[4,7,2,5,6,3,1,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[7,3,1,5,2,6,4,8]=>[3,5,2,6,4,7,1,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[6,3,5,1,2,7,4,8]=>[3,7,5,2,4,6,1,8]=>{{1,2,3,4,5,7},{6},{8}}=>1
[6,4,5,1,7,2,3,8]=>[4,7,6,3,5,2,1,8]=>{{1,2,3,4,6,7},{5},{8}}=>2
[6,5,3,1,4,7,2,8]=>[3,5,7,2,1,6,4,8]=>{{1,2,3,4,5,7},{6},{8}}=>1
[2,4,8,6,3,7,1,5]=>[8,2,4,6,1,7,5,3]=>{{1,3,4,5,6,7,8},{2}}=>6
[1,8,4,6,3,7,5,2]=>[1,4,8,6,2,7,3,5]=>{{1},{2,3,4,5,6,7,8}}=>0
[3,5,6,8,7,2,4,1]=>[8,7,3,5,6,2,1,4]=>{{1,2,4,5,6,7,8},{3}}=>5
[1,8,5,6,7,3,4,2]=>[1,5,8,7,6,3,2,4]=>{{1},{2,3,4,5,6,7,8}}=>0
[2,4,8,6,1,7,5,3]=>[8,2,4,6,3,7,1,5]=>{{1,3,4,5,6,7,8},{2}}=>6
[3,5,6,8,7,4,1,2]=>[8,7,3,5,6,1,4,2]=>{{1,2,4,5,6,7,8},{3}}=>5
[8,2,5,3,7,1,6,4]=>[2,5,8,1,7,4,3,6]=>{{1,2,3,4,5,6,7,8}}=>0
[5,8,2,4,3,7,1,6]=>[5,4,1,7,2,8,6,3]=>{{1,2,3,4,5,6,7,8}}=>0
[6,1,5,8,7,3,2,4]=>[7,1,8,5,6,3,4,2]=>{{1,2,3,4,5,6,7,8}}=>0
[8,4,2,3,7,5,1,6]=>[4,7,1,2,8,3,6,5]=>{{1,2,3,4,6,7},{5,8}}=>0
[8,4,6,1,7,3,5,2]=>[4,8,6,3,7,2,1,5]=>{{1,2,3,4,5,6,7,8}}=>0
[7,4,2,3,8,5,1,6]=>[4,8,1,2,7,3,6,5]=>{{1,2,3,4,5,6,7,8}}=>0
[7,3,2,4,8,6,1,5]=>[3,4,1,7,6,8,5,2]=>{{1,3},{2,4,5,6,7,8}}=>0
[4,2,6,1,8,5,7,3]=>[2,7,4,3,6,1,8,5]=>{{1,2,5,6,7,8},{3,4}}=>4
[7,8,5,1,6,4,2,3]=>[6,5,8,3,7,1,4,2]=>{{1,6},{2,3,4,5,7,8}}=>0
[3,8,5,1,7,6,4,2]=>[7,3,5,2,6,8,1,4]=>{{1,7},{2,3,4,5,6,8}}=>0
[8,7,5,1,6,4,2,3]=>[5,6,8,3,7,1,4,2]=>{{1,2,3,4,5,6,7,8}}=>0
[6,5,7,3,1,8,4,2]=>[7,8,5,1,4,6,2,3]=>{{1,2,3,4,5,7,8},{6}}=>2
[5,4,7,8,3,1,6,2]=>[7,8,5,4,1,3,2,6]=>{{1,2,3,5,6,7,8},{4}}=>4
[4,3,7,5,1,8,6,2]=>[4,8,3,5,2,7,1,6]=>{{1,2,4,5,6,7,8},{3}}=>5
[6,4,3,8,5,1,7,2]=>[3,5,6,4,7,2,8,1]=>{{1,2,3,5,6,7,8},{4}}=>4
[2,6,4,1,8,5,3,7]=>[4,2,8,3,6,1,5,7]=>{{1,3,4,5,6,7,8},{2}}=>6
[5,4,8,2,1,6,3,7]=>[5,6,4,2,3,8,1,7]=>{{1,2,3,4,5,6,7,8}}=>0
[3,5,2,8,1,6,4,7]=>[6,3,1,5,4,8,2,7]=>{{1,2,3,6,7,8},{4,5}}=>3
[4,8,3,2,6,7,1,5]=>[4,3,6,1,8,7,5,2]=>{{1,4},{2,3,5,6,7,8}}=>0
[2,1,7,5,3,8,6,4]=>[2,1,5,8,4,7,3,6]=>{{1,2},{3,4,5,6,7,8}}=>0
[6,2,1,8,5,3,7,4]=>[2,6,1,5,7,4,8,3]=>{{1,2,3,4,5,6,7,8}}=>0
[3,5,2,1,7,4,6,8]=>[7,3,1,2,5,4,6,8]=>{{1,2,3,4,6,7},{5},{8}}=>2
[2,4,1,7,3,8,6,5]=>[8,2,1,4,3,7,5,6]=>{{1,3,5,6,7,8},{2},{4}}=>9
[3,2,7,1,4,8,6,5]=>[2,8,3,1,4,7,5,6]=>{{1,2,4,5,6,7,8},{3}}=>5
[3,5,8,2,1,7,4,6]=>[7,5,3,1,4,8,6,2]=>{{1,2,4,5,6,7,8},{3}}=>5
[4,8,3,2,7,1,5,6]=>[4,3,7,1,8,5,6,2]=>{{1,4},{2,3,5,6,7,8}}=>0
[8,7,6,4,5,3,2,1,9]=>[4,5,6,7,8,1,2,3,9]=>{{1,2,3,4,5,6,7,8},{9}}=>0
[1,9,8,7,5,6,4,3,2]=>[1,5,6,7,8,9,2,3,4]=>{{1},{2,3,4,5,6,7,8,9}}=>0
[1,10,9,8,7,6,5,4,3,2]=>[1,6,7,8,9,10,2,3,4,5]=>{{1},{2,3,4,5,6,7,8,9,10}}=>0
[6,2,3,1,5,4,8,7]=>[2,3,5,1,6,4,8,7]=>{{1,2,3,4,5,6},{7,8}}=>0
[8,4,5,2,3,1,7,6]=>[4,7,5,2,1,3,8,6]=>{{1,2,3,4,5,6,7,8}}=>0
[8,6,7,2,5,3,4,1]=>[5,7,6,2,8,3,1,4]=>{{1,2,4,5,7,8},{3,6}}=>2
[8,2,5,3,4,1,7,6]=>[2,5,7,1,3,4,8,6]=>{{1,2,3,4,5,6,7,8}}=>0
[6,2,5,3,4,1,8,7]=>[2,5,6,1,3,4,8,7]=>{{1,2,3,4,5,6},{7,8}}=>0
[6,1,5,3,4,2,8,7]=>[5,1,6,2,3,4,8,7]=>{{1,2,3,4,5,6},{7,8}}=>0
[8,3,5,2,4,1,7,6]=>[3,7,5,1,2,4,8,6]=>{{1,2,3,4,5,6,7,8}}=>0
[8,1,5,3,4,2,7,6]=>[5,1,7,2,3,4,8,6]=>{{1,2,3,4,5,6,7,8}}=>0
[2,1,8,4,5,3,7,6]=>[2,1,4,5,7,3,8,6]=>{{1,2},{3,4,5,6,7,8}}=>0
[2,1,8,4,7,5,6,3]=>[2,1,4,7,8,3,5,6]=>{{1,2},{3,4,5,6,7,8}}=>0
[8,3,7,1,6,2,5,4]=>[3,7,6,2,8,5,1,4]=>{{1,2,3,4,5,6,7,8}}=>0
[8,2,7,3,6,1,5,4]=>[2,6,7,1,8,5,3,4]=>{{1,2,4,5,6,8},{3,7}}=>1
[8,1,7,2,4,3,6,5]=>[7,1,8,3,2,5,4,6]=>{{1,2,3,4,5,6,7,8}}=>0
[8,2,7,1,4,3,6,5]=>[2,7,8,3,1,5,4,6]=>{{1,2,3,4,5,6,7,8}}=>0
[8,4,7,2,3,1,6,5]=>[4,8,7,2,1,5,3,6]=>{{1,2,4,5,6,8},{3,7}}=>1
[8,2,3,1,5,4,7,6]=>[2,3,5,1,7,4,8,6]=>{{1,2,3,4,5,6,7,8}}=>0
[8,6,7,2,5,1,4,3]=>[5,7,6,2,8,4,1,3]=>{{1,2,3,4,5,6,7,8}}=>0
[8,6,7,1,3,2,5,4]=>[6,8,7,3,2,5,1,4]=>{{1,2,3,4,5,6,7,8}}=>0
[2,1,8,3,7,5,6,4]=>[2,1,7,3,8,4,5,6]=>{{1,2},{3,4,5,6,7,8}}=>0
[8,1,3,2,7,5,6,4]=>[3,1,7,2,8,4,5,6]=>{{1,2,3,4,5,6,7,8}}=>0
[8,1,7,2,6,4,5,3]=>[6,1,7,3,8,4,2,5]=>{{1,2,3,4,6,7},{5,8}}=>0
[8,2,7,1,6,4,5,3]=>[2,6,7,3,8,4,1,5]=>{{1,2,3,4,6,7},{5,8}}=>0
[8,4,7,1,6,2,5,3]=>[4,7,6,3,8,5,1,2]=>{{1,2,3,4,5,6,7,8}}=>0
[8,5,7,4,6,1,3,2]=>[4,6,5,8,7,3,1,2]=>{{1,2,3,4,5,6,7,8}}=>0
[8,4,7,1,6,3,5,2]=>[4,7,6,3,8,2,1,5]=>{{1,2,3,4,6,7},{5,8}}=>0
[2,4,8,3,6,1,7,5]=>[6,2,4,1,7,5,8,3]=>{{1,3,4,5,6,7,8},{2}}=>6
[6,5,8,1,3,2,7,4]=>[6,7,5,3,2,4,8,1]=>{{1,2,3,4,5,6,7,8}}=>0
[4,5,8,6,3,2,7,1]=>[7,6,4,5,1,2,8,3]=>{{1,3,4,5,7,8},{2,6}}=>2
[6,5,8,7,3,1,2,4]=>[7,8,5,6,2,4,3,1]=>{{1,2,3,5,7,8},{4,6}}=>2
[1,7,2,8,4,6,5,3]=>[1,7,2,6,3,8,4,5]=>{{1},{2,3,4,5,6,7,8}}=>0
[6,7,2,8,4,1,5,3]=>[8,7,1,6,2,5,3,4]=>{{1,2,3,4,5,6,7,8}}=>0
[3,6,2,8,4,5,7,1]=>[7,3,1,6,2,4,8,5]=>{{1,2,3,5,7,8},{4,6}}=>2
[6,3,7,8,4,1,5,2]=>[7,8,3,6,1,5,2,4]=>{{1,2,4,5,6,7,8},{3}}=>5
[1,3,7,8,4,6,5,2]=>[1,7,3,6,2,8,4,5]=>{{1},{2,4,5,6,7,8},{3}}=>5
[7,6,1,8,4,2,5,3]=>[7,8,2,6,1,5,3,4]=>{{1,2,3,4,5,6,7,8}}=>0
[5,6,8,7,3,2,1,4]=>[8,7,5,6,2,3,4,1]=>{{1,8},{2,3,4,5,6,7}}=>1
[2,8,3,7,1,6,5,4]=>[3,2,6,7,4,8,1,5]=>{{1,3,4,5,6,7,8},{2}}=>6
[5,2,8,7,3,6,1,4]=>[2,7,5,6,3,8,4,1]=>{{1,2,4,6,7,8},{3,5}}=>3
[3,2,7,8,4,6,5,1]=>[2,7,3,6,1,8,4,5]=>{{1,2,4,5,6,7,8},{3}}=>5
[1,2,7,8,5,4,6,3]=>[1,2,7,5,8,3,4,6]=>{{1},{2},{3,4,5,6,7,8}}=>0
[7,3,5,8,2,4,6,1]=>[3,8,7,5,2,1,4,6]=>{{1,2,3,4,5,6,7,8}}=>0
[7,5,8,6,3,4,2,1]=>[6,8,5,7,2,1,3,4]=>{{1,6},{2,3,4,5,7,8}}=>0
[4,1,8,3,5,6,2,7]=>[5,1,4,2,6,8,3,7]=>{{1,2,3,4,5,6,7,8}}=>0
[1,6,8,4,5,3,2,7]=>[1,5,4,6,8,2,3,7]=>{{1},{2,3,4,5,6,7,8}}=>0
[1,7,3,8,5,4,6,2]=>[1,3,7,5,8,2,4,6]=>{{1},{2,3,4,5,6,7,8}}=>0
[2,7,3,8,4,6,5,1]=>[3,2,7,6,1,8,4,5]=>{{1,3,4,5,6,7,8},{2}}=>6
[2,8,5,4,3,1,6,7]=>[4,2,5,8,1,3,6,7]=>{{1,3,4,5,6,7,8},{2}}=>6
[7,3,2,8,5,4,6,1]=>[3,7,1,5,8,2,4,6]=>{{1,3},{2,4,5,6,7,8}}=>0
[2,8,3,4,5,1,6,7]=>[3,2,4,5,8,1,6,7]=>{{1,3,4,5,6,7,8},{2}}=>6
[6,2,8,4,5,3,1,7]=>[2,5,4,6,8,1,3,7]=>{{1,2,3,4,5,6,7,8}}=>0
[7,2,3,8,5,4,6,1]=>[2,3,7,5,8,1,4,6]=>{{1,2,3,4,5,6,7,8}}=>0
[2,8,1,5,3,4,7,6]=>[5,2,1,7,4,3,8,6]=>{{1,3,4,5,6,7,8},{2}}=>6
[1,2,8,4,5,3,7,6]=>[1,2,4,5,7,3,8,6]=>{{1},{2},{3,4,5,6,7,8}}=>0
[1,4,2,8,5,3,6,7]=>[1,5,2,4,8,3,6,7]=>{{1},{2,3,5,6,7,8},{4}}=>4
[1,8,4,2,5,3,6,7]=>[1,4,5,3,8,2,6,7]=>{{1},{2,3,4,5,6,7,8}}=>0
[1,5,2,8,4,3,6,7]=>[1,8,2,5,3,4,6,7]=>{{1},{2,3,4,5,6,7,8}}=>0
[1,5,2,7,8,4,3,6]=>[1,8,2,7,5,3,6,4]=>{{1},{2,3,4,6,7,8},{5}}=>3
[5,1,2,7,4,8,3,6]=>[8,1,2,5,3,7,6,4]=>{{1,2,3,4,5,8},{6,7}}=>1
[3,7,8,1,5,2,4,6]=>[7,5,3,2,8,4,6,1]=>{{1,2,4,5,6,7,8},{3}}=>5
[7,1,2,8,5,3,4,6]=>[7,1,2,5,8,4,6,3]=>{{1,2,3,4,5,6,7,8}}=>0
[1,4,2,7,8,5,3,6]=>[1,8,2,4,7,3,6,5]=>{{1},{2,3,5,6,7,8},{4}}=>4
[6,4,1,2,8,3,7,5]=>[4,7,2,3,6,5,8,1]=>{{1,2,3,4,7,8},{5,6}}=>2
[5,8,1,3,7,2,4,6]=>[8,5,2,1,7,4,6,3]=>{{1,2,3,4,5,6,7,8}}=>0
[7,1,2,8,4,3,6,5]=>[8,1,2,7,3,5,4,6]=>{{1,2,3,5,6,8},{4,7}}=>1
[1,2,8,7,4,5,3,6]=>[1,2,7,8,3,4,6,5]=>{{1},{2},{3,4,5,6,7,8}}=>0
[3,8,6,1,4,7,2,5]=>[8,3,6,2,1,7,5,4]=>{{1,2,3,4,5,6,7,8}}=>0
[3,7,4,8,1,6,2,5]=>[7,3,6,4,2,8,5,1]=>{{1,2,3,5,6,7,8},{4}}=>4
[2,8,1,7,6,4,3,5]=>[6,2,1,7,8,4,5,3]=>{{1,3,4,5,6,7,8},{2}}=>6
[7,8,3,4,1,5,2,6]=>[4,3,7,8,2,1,6,5]=>{{1,2,3,4,5,6,7,8}}=>0
[7,8,3,4,1,6,2,5]=>[4,3,6,7,2,8,5,1]=>{{1,2,3,4,5,6,7,8}}=>0
[6,7,3,4,1,5,2,8]=>[4,3,6,7,2,1,5,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[5,6,2,8,3,4,1,7]=>[8,6,1,5,3,2,4,7]=>{{1,3,4,5,7,8},{2,6}}=>2
[4,6,2,8,3,5,1,7]=>[8,6,1,4,2,3,5,7]=>{{1,2,3,5,6,7,8},{4}}=>4
[4,6,2,5,1,7,3,8]=>[7,4,1,5,3,6,2,8]=>{{1,2,3,4,5,7},{6},{8}}=>1
[4,5,1,8,3,6,2,7]=>[6,5,2,4,1,8,3,7]=>{{1,2,3,5,6,7,8},{4}}=>4
[6,8,3,5,1,7,4,2]=>[5,3,6,8,4,7,1,2]=>{{1,2,3,4,5,6,7,8}}=>0
[5,1,8,4,7,6,3,2]=>[5,1,4,7,6,8,2,3]=>{{1,2,3,4,5,6,7,8}}=>0
[2,5,8,4,7,6,3,1]=>[5,2,4,7,6,8,1,3]=>{{1,3,4,5,6,7,8},{2}}=>6
[4,3,8,1,5,6,7,2]=>[4,5,3,2,6,7,8,1]=>{{1,2,4,5,6,7,8},{3}}=>5
[4,8,1,3,5,6,7,2]=>[5,4,2,1,6,7,8,3]=>{{1,2,3,4,5,6,7,8}}=>0
[3,8,1,2,5,6,7,4]=>[5,3,2,1,6,7,8,4]=>{{1,4,5,6,7,8},{2,3}}=>5
[5,8,3,6,2,4,7,1]=>[5,3,7,6,2,1,8,4]=>{{1,2,3,4,5,6,7,8}}=>0
[8,7,3,5,2,1,4,6]=>[3,5,7,8,2,4,6,1]=>{{1,3,4,6,7,8},{2,5}}=>3
[5,8,3,6,2,1,7,4]=>[5,3,7,6,2,4,8,1]=>{{1,2,3,5,7,8},{4,6}}=>2
[4,8,2,1,5,6,7,3]=>[5,4,1,3,6,7,8,2]=>{{1,2,3,4,5,6,7,8}}=>0
[3,4,8,2,5,6,7,1]=>[5,4,3,1,6,7,8,2]=>{{1,2,4,5,6,7,8},{3}}=>5
[5,8,3,1,6,2,7,4]=>[5,3,7,2,6,4,8,1]=>{{1,2,3,4,5,6,7,8}}=>0
[4,5,3,8,6,1,7,2]=>[5,3,7,4,6,2,8,1]=>{{1,2,3,5,6,7,8},{4}}=>4
[7,8,9,10,11,12,1,2,3,4,5,6]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>{{1,12},{2,11},{3,10},{4,9},{5,8},{6,7}}=>15
[8,2,4,7,1,6,5,3]=>[2,4,7,6,3,8,1,5]=>{{1,2,3,4,5,6,7,8}}=>0
[6,7,1,3,5,8,4,2]=>[7,5,2,1,8,6,3,4]=>{{1,2,3,4,5,7,8},{6}}=>2
[4,8,3,7,6,1,5,2]=>[4,3,7,6,8,5,1,2]=>{{1,2,3,4,5,6,7,8}}=>0
[3,8,4,7,6,1,5,2]=>[7,3,4,6,8,5,1,2]=>{{1,7},{2,3,4,5,6,8}}=>0
[2,8,4,7,1,6,5,3]=>[4,2,7,6,3,8,1,5]=>{{1,3,4,5,6,7,8},{2}}=>6
[8,1,4,7,2,6,5,3]=>[4,1,7,6,3,8,2,5]=>{{1,2,3,4,5,6,7,8}}=>0
[2,8,3,1,7,6,5,4]=>[3,2,6,1,7,8,4,5]=>{{1,3,4,5,6,7,8},{2}}=>6
[3,8,2,1,7,6,5,4]=>[6,3,1,2,7,8,4,5]=>{{1,2,3,4,5,6,7,8}}=>0
[8,2,3,1,7,6,5,4]=>[2,3,6,1,7,8,4,5]=>{{1,2,3,4,5,6,7,8}}=>0
[8,3,2,1,7,6,5,4]=>[3,6,1,2,7,8,4,5]=>{{1,3},{2,4,5,6,7,8}}=>0
[6,7,4,5,8,1,3,2]=>[6,4,8,7,5,3,1,2]=>{{1,2,3,4,6,7,8},{5}}=>3
[8,4,1,7,2,6,5,3]=>[4,7,2,6,3,8,1,5]=>{{1,2,3,4,5,6,7,8}}=>0
[6,7,2,8,1,5,4,3]=>[8,7,1,6,4,2,3,5]=>{{1,2,3,4,5,6,7,8}}=>0
[3,2,8,1,7,6,5,4]=>[2,6,3,1,7,8,4,5]=>{{1,2,4,5,6,7,8},{3}}=>5
[1,3,8,2,7,6,5,4]=>[1,6,3,2,7,8,4,5]=>{{1},{2,4,5,6,7,8},{3}}=>5
[8,2,1,3,7,6,5,4]=>[2,6,1,3,7,8,4,5]=>{{1,2,3,4,5,6,7,8}}=>0
[1,2,8,3,7,6,5,4]=>[1,2,6,3,7,8,4,5]=>{{1},{2},{3,4,5,6,7,8}}=>0
[2,1,8,3,7,6,5,4]=>[2,1,6,3,7,8,4,5]=>{{1,2},{3,4,5,6,7,8}}=>0
[3,8,1,2,7,6,5,4]=>[6,3,2,1,7,8,4,5]=>{{1,4,5,6,7,8},{2,3}}=>5
[2,8,1,3,7,6,5,4]=>[6,2,1,3,7,8,4,5]=>{{1,3,4,5,6,7,8},{2}}=>6
[1,8,2,3,7,6,5,4]=>[1,6,2,3,7,8,4,5]=>{{1},{2,3,4,5,6,7,8}}=>0
[8,1,2,3,7,6,5,4]=>[6,1,2,3,7,8,4,5]=>{{1,2,3,4,5,6,7,8}}=>0
[5,6,4,1,8,7,2,3]=>[6,4,8,3,5,7,2,1]=>{{1,2,3,4,6,7,8},{5}}=>3
[8,1,4,5,7,6,2,3]=>[4,1,7,5,6,8,3,2]=>{{1,2,4,5,6,8},{3,7}}=>1
[7,2,1,4,3,8,6,5]=>[2,4,1,8,3,7,5,6]=>{{1,2,3,4,5,6,7,8}}=>0
[2,7,1,4,3,8,6,5]=>[4,2,1,8,3,7,5,6]=>{{1,3,4,5,6,7,8},{2}}=>6
[3,7,1,4,2,8,6,5]=>[4,3,2,8,1,7,5,6]=>{{1,4,5,6,7,8},{2,3}}=>5
[4,7,1,3,2,8,6,5]=>[8,4,2,1,3,7,5,6]=>{{1,2,3,4,5,6,7,8}}=>0
[8,1,6,7,2,3,5,4]=>[6,1,8,7,4,5,2,3]=>{{1,2,4,5,6,7},{3,8}}=>0
[3,7,1,2,4,8,6,5]=>[8,3,2,1,4,7,5,6]=>{{1,4,5,6,7,8},{2,3}}=>5
[2,7,1,3,4,8,6,5]=>[8,2,1,3,4,7,5,6]=>{{1,3,4,5,6,7,8},{2}}=>6
[3,6,2,1,4,8,7,5]=>[7,3,1,2,4,6,8,5]=>{{1,2,3,4,5,7,8},{6}}=>2
[5,6,2,1,8,3,7,4]=>[7,6,1,3,5,4,8,2]=>{{1,2,3,4,6,7,8},{5}}=>3
[8,1,4,2,3,7,6,5]=>[4,1,7,3,2,8,5,6]=>{{1,2,3,4,5,7},{6,8}}=>0
[7,3,1,2,4,8,6,5]=>[3,8,2,1,4,7,5,6]=>{{1,2,3,4,5,6,7,8}}=>0
[8,1,2,3,4,7,6,5]=>[7,1,2,3,4,8,5,6]=>{{1,2,3,4,5,7},{6,8}}=>0
[7,2,1,3,4,8,6,5]=>[2,8,1,3,4,7,5,6]=>{{1,2,3,4,5,6,7,8}}=>0
[4,2,6,5,3,1,8,7]=>[2,6,4,5,1,3,8,7]=>{{1,2,3,4,5,6},{7,8}}=>0
[4,2,6,5,8,3,1,7]=>[2,8,4,6,5,1,3,7]=>{{1,2,3,4,6,7,8},{5}}=>3
[4,2,6,5,8,3,7,1]=>[2,7,4,6,5,1,8,3]=>{{1,2,3,4,6,7,8},{5}}=>3
[2,4,1,6,8,5,7,3]=>[7,2,1,4,6,3,8,5]=>{{1,3,5,6,7,8},{2},{4}}=>9
[2,4,6,8,3,1,5,7]=>[8,2,6,4,1,5,3,7]=>{{1,3,5,6,7,8},{2},{4}}=>9
[2,4,6,3,8,5,7,1]=>[7,2,4,1,6,3,8,5]=>{{1,3,4,5,6,7,8},{2}}=>6
[2,4,3,6,8,5,7,1]=>[3,2,7,4,6,1,8,5]=>{{1,3,5,6,7,8},{2},{4}}=>9
[4,6,2,5,8,7,1,3]=>[8,4,1,6,5,7,3,2]=>{{1,2,3,4,6,7,8},{5}}=>3
[6,4,2,8,7,5,3,1]=>[6,8,1,4,7,2,3,5]=>{{1,2,3,5,6,7,8},{4}}=>4
[2,6,4,1,8,7,5,3]=>[4,2,8,3,6,7,1,5]=>{{1,3,4,5,6,7,8},{2}}=>6
[2,6,1,4,8,7,5,3]=>[4,2,1,8,6,7,3,5]=>{{1,3,4,5,6,7,8},{2}}=>6
[2,6,4,8,1,7,3,5]=>[6,2,8,4,3,7,5,1]=>{{1,3,5,6,7,8},{2},{4}}=>9
[6,2,4,8,7,3,5,1]=>[2,6,8,4,7,3,1,5]=>{{1,2,3,5,6,7,8},{4}}=>4
[1,7,6,3,4,8,2,5]=>[1,7,8,2,3,6,5,4]=>{{1},{2,3,4,5,7,8},{6}}=>2
[8,1,6,3,7,2,4,5]=>[6,1,8,2,7,5,4,3]=>{{1,2,4,5,6,7},{3,8}}=>0
[5,8,2,1,7,3,4,6]=>[8,5,1,3,7,4,6,2]=>{{1,2,3,4,5,6,7,8}}=>0
[5,7,2,1,8,3,4,6]=>[8,7,1,3,5,4,6,2]=>{{1,2,3,4,6,7,8},{5}}=>3
[6,7,1,3,8,2,4,5]=>[8,7,2,1,6,5,4,3]=>{{1,2,3,4,7,8},{5,6}}=>2
[5,1,2,4,8,3,6,7]=>[4,1,2,8,5,3,6,7]=>{{1,2,3,4,6,7,8},{5}}=>3
[6,5,1,3,4,8,2,7]=>[5,8,2,1,3,6,4,7]=>{{1,2,3,4,5,7,8},{6}}=>2
[1,5,3,2,8,4,6,7]=>[1,3,8,2,5,4,6,7]=>{{1},{2,3,4,6,7,8},{5}}=>3
[1,6,4,8,7,2,3,5]=>[1,6,8,4,7,5,3,2]=>{{1},{2,3,5,6,7,8},{4}}=>4
[5,2,4,8,7,1,3,6]=>[2,5,8,4,7,3,6,1]=>{{1,2,3,5,6,7,8},{4}}=>4
[5,1,4,8,7,2,3,6]=>[5,1,8,4,7,3,6,2]=>{{1,2,3,5,6,7,8},{4}}=>4
[4,8,2,5,1,3,7,6]=>[7,4,1,5,3,2,8,6]=>{{1,2,3,4,5,6,7,8}}=>0
[3,7,2,1,5,4,8,6]=>[5,3,1,2,8,4,7,6]=>{{1,2,3,4,5,6,8},{7}}=>1
[3,8,2,1,5,4,7,6]=>[5,3,1,2,7,4,8,6]=>{{1,2,3,4,5,6,7,8}}=>0
[8,3,2,1,5,4,6,7]=>[3,5,1,2,8,4,6,7]=>{{1,3},{2,4,5,6,7,8}}=>0
[8,3,2,1,5,6,4,7]=>[3,5,1,2,6,8,4,7]=>{{1,3},{2,4,5,6,7,8}}=>0
[8,3,2,1,4,6,5,7]=>[3,6,1,2,4,8,5,7]=>{{1,3},{2,4,5,6,7,8}}=>0
[3,8,2,1,4,5,7,6]=>[7,3,1,2,4,5,8,6]=>{{1,2,3,4,5,6,7,8}}=>0
[3,7,2,1,4,5,8,6]=>[8,3,1,2,4,5,7,6]=>{{1,2,3,4,5,6,8},{7}}=>1
[3,2,8,1,4,6,7,5]=>[2,6,3,1,4,7,8,5]=>{{1,2,4,5,6,7,8},{3}}=>5
[3,8,2,1,4,7,5,6]=>[7,3,1,2,4,8,6,5]=>{{1,2,3,4,5,6,7,8}}=>0
[4,8,2,5,1,7,3,6]=>[7,4,1,5,3,8,6,2]=>{{1,2,3,4,5,6,7,8}}=>0
[3,7,2,1,4,8,5,6]=>[8,3,1,2,4,7,6,5]=>{{1,2,3,4,5,8},{6,7}}=>1
[3,8,2,1,7,4,5,6]=>[7,3,1,2,8,5,6,4]=>{{1,2,3,4,5,6,7,8}}=>0
[5,7,8,3,4,1,2,6]=>[8,7,5,1,2,4,6,3]=>{{1,2,3,4,5,6,7,8}}=>0
[4,2,7,8,1,3,6,5]=>[2,8,7,4,3,5,1,6]=>{{1,2,3,5,6,7,8},{4}}=>4
[4,5,6,3,8,7,1,2]=>[8,6,4,1,5,7,3,2]=>{{1,2,3,4,6,7,8},{5}}=>3
[4,1,6,2,8,7,5,3]=>[8,1,4,3,6,7,2,5]=>{{1,2,5,6,7,8},{3,4}}=>4
[7,8,1,2,4,6,5,3]=>[7,6,2,3,1,8,4,5]=>{{1,2,3,4,5,6,7,8}}=>0
[6,1,5,7,4,3,2,8]=>[6,1,7,5,2,3,4,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[1,5,8,6,4,3,2,7]=>[1,8,5,6,2,3,4,7]=>{{1},{2,3,4,5,6,7,8}}=>0
[7,8,4,1,5,3,2,6]=>[5,4,7,3,8,1,6,2]=>{{1,2,3,4,5,6,7,8}}=>0
[7,8,5,1,6,3,2,4]=>[6,5,8,3,7,2,4,1]=>{{1,2,3,4,5,6,7,8}}=>0
[6,8,1,7,4,3,2,5]=>[8,6,2,7,1,4,5,3]=>{{1,2,3,4,5,6,7,8}}=>0
[5,1,7,6,4,3,2,8]=>[7,1,5,6,2,3,4,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[6,1,7,8,4,3,2,5]=>[8,1,7,6,2,4,5,3]=>{{1,2,3,5,7,8},{4,6}}=>2
[1,8,7,6,4,3,2,5]=>[1,6,7,8,2,4,5,3]=>{{1},{2,3,4,5,6,7,8}}=>0
[1,2,8,5,6,3,7,4]=>[1,2,5,7,6,4,8,3]=>{{1},{2},{3,4,5,6,7,8}}=>0
[1,3,6,8,5,7,2,4]=>[1,6,3,5,8,7,4,2]=>{{1},{2,4,5,6,7,8},{3}}=>5
[4,2,6,3,8,1,7,5]=>[2,7,4,1,6,5,8,3]=>{{1,2,3,4,7,8},{5,6}}=>2
[5,1,8,7,4,3,2,6]=>[8,1,5,7,2,3,6,4]=>{{1,2,3,4,5,6,7,8}}=>0
[5,8,7,1,4,3,2,6]=>[8,5,7,3,1,2,6,4]=>{{1,2,3,4,5,6,7,8}}=>0
[7,8,4,6,1,3,2,5]=>[6,4,8,7,3,2,5,1]=>{{1,2,3,4,5,6,7,8}}=>0
[2,4,1,7,8,5,3,6]=>[8,2,1,4,7,3,6,5]=>{{1,3,5,6,7,8},{2},{4}}=>9
[3,7,5,8,2,1,4,6]=>[8,3,7,5,2,4,6,1]=>{{1,8},{2,3,4,5,6,7}}=>1
[8,4,6,3,2,1,7,5]=>[4,7,6,1,2,5,8,3]=>{{1,4},{2,3,5,6,7,8}}=>0
[5,4,7,2,1,8,6,3]=>[5,8,4,2,3,7,1,6]=>{{1,2,3,4,5,6,7,8}}=>0
[3,7,2,8,6,1,4,5]=>[7,3,1,6,8,5,4,2]=>{{1,2,3,4,5,6,7,8}}=>0
[3,6,8,2,1,7,4,5]=>[8,6,3,1,4,7,5,2]=>{{1,2,4,5,6,7,8},{3}}=>5
[4,8,7,3,2,1,5,6]=>[8,4,7,1,2,5,6,3]=>{{1,2,3,4,5,6,7,8}}=>0
[8,4,7,3,2,1,5,6]=>[4,8,7,1,2,5,6,3]=>{{1,4},{2,3,5,6,7,8}}=>0
[7,3,2,8,6,1,4,5]=>[3,7,1,6,8,5,4,2]=>{{1,3},{2,4,5,6,7,8}}=>0
[7,3,5,1,8,6,4,2]=>[3,7,6,2,5,8,1,4]=>{{1,2,3,4,6,7,8},{5}}=>3
[6,4,3,5,8,7,2,1]=>[3,4,8,6,5,7,1,2]=>{{1,2,3,4,6,7,8},{5}}=>3
[7,3,5,4,8,1,6,2]=>[3,7,4,8,5,2,1,6]=>{{1,2,3,4,6,7,8},{5}}=>3
[7,3,5,6,8,1,2,4]=>[3,8,6,7,5,4,2,1]=>{{1,2,3,4,6,7,8},{5}}=>3
[7,4,1,5,8,2,3,6]=>[4,8,2,7,5,3,6,1]=>{{1,2,3,4,6,7,8},{5}}=>3
[6,3,5,7,8,2,1,4]=>[3,8,7,6,5,2,4,1]=>{{1,2,3,4,6,7,8},{5}}=>3
[6,3,5,4,8,2,7,1]=>[3,6,4,7,5,1,8,2]=>{{1,2,3,4,6,7,8},{5}}=>3
[7,4,3,5,8,2,1,6]=>[3,4,8,7,5,1,6,2]=>{{1,2,3,4,6,7,8},{5}}=>3
[6,3,5,4,8,2,1,7]=>[3,6,4,8,5,1,2,7]=>{{1,2,3,4,6,7,8},{5}}=>3
[7,8,2,6,1,5,3,4]=>[7,6,1,8,4,2,5,3]=>{{1,3,4,5,7,8},{2,6}}=>2
[7,8,1,6,2,5,3,4]=>[7,6,2,8,4,1,5,3]=>{{1,2,3,4,5,6,7,8}}=>0
[2,8,1,7,5,6,3,4]=>[5,2,1,6,7,8,4,3]=>{{1,3,4,5,6,7,8},{2}}=>6
[1,8,2,7,5,6,3,4]=>[1,5,2,6,7,8,4,3]=>{{1},{2,3,4,5,6,7,8}}=>0
[1,8,2,7,4,6,3,5]=>[1,6,2,7,3,8,5,4]=>{{1},{2,3,4,5,6,7,8}}=>0
[2,8,1,7,4,6,3,5]=>[6,2,1,7,3,8,5,4]=>{{1,3,4,5,6,7,8},{2}}=>6
[1,8,3,7,5,6,2,4]=>[1,3,5,6,7,8,4,2]=>{{1},{2,3,4,5,6,7,8}}=>0
[3,8,1,7,4,6,2,5]=>[6,3,2,7,1,8,5,4]=>{{1,4,5,6,7,8},{2,3}}=>5
[3,8,2,7,4,6,1,5]=>[6,3,1,7,2,8,5,4]=>{{1,2,3,4,5,6,7,8}}=>0
[3,8,2,7,5,6,1,4]=>[5,3,1,6,7,8,4,2]=>{{1,2,3,4,5,6,7,8}}=>0
[4,8,2,7,5,6,1,3]=>[6,4,1,5,7,8,3,2]=>{{1,2,3,4,5,6,7,8}}=>0
[4,8,3,7,5,6,1,2]=>[4,3,6,5,7,8,2,1]=>{{1,2,3,4,5,6,7,8}}=>0
[2,8,4,7,5,6,1,3]=>[4,2,6,5,7,8,3,1]=>{{1,3,4,5,6,7,8},{2}}=>6
[2,8,3,7,5,6,1,4]=>[3,2,5,6,7,8,4,1]=>{{1,3,4,5,6,7,8},{2}}=>6
[2,8,3,7,4,6,1,5]=>[3,2,6,7,1,8,5,4]=>{{1,3,4,5,6,7,8},{2}}=>6
[7,1,8,4,5,2,6,3]=>[5,1,4,7,8,3,2,6]=>{{1,2,3,4,5,6,7,8}}=>0
[6,8,1,7,4,2,5,3]=>[8,6,2,7,1,5,3,4]=>{{1,2,3,4,5,6,7,8}}=>0
[7,1,8,3,5,6,2,4]=>[6,1,5,2,7,8,4,3]=>{{1,2,3,4,5,6,7,8}}=>0
[7,4,2,8,6,1,3,5]=>[6,7,1,4,8,5,3,2]=>{{1,2,3,5,6,7,8},{4}}=>4
[7,3,1,8,4,2,5,6]=>[3,8,2,7,1,5,6,4]=>{{1,2,3,4,5,6,7,8}}=>0
[7,2,8,3,5,1,6,4]=>[2,7,5,1,8,4,3,6]=>{{1,2,3,4,5,6,7,8}}=>0
[7,2,8,3,4,6,1,5]=>[2,7,6,1,3,8,5,4]=>{{1,2,3,4,5,6,7,8}}=>0
[6,2,4,8,5,3,1,7]=>[2,5,6,4,8,1,3,7]=>{{1,2,3,5,6,7,8},{4}}=>4
[6,3,1,4,8,5,2,7]=>[3,4,2,8,6,1,5,7]=>{{1,2,3,4,5,6,7,8}}=>0
[5,3,1,4,8,2,6,7]=>[3,4,2,8,5,1,6,7]=>{{1,2,3,4,6,7,8},{5}}=>3
[5,2,4,8,6,1,3,7]=>[2,5,8,4,6,3,1,7]=>{{1,2,3,5,6,7,8},{4}}=>4
[5,2,3,8,4,6,7,1]=>[2,3,6,5,1,7,8,4]=>{{1,2,3,4,5,6,7,8}}=>0
[4,8,2,3,6,1,7,5]=>[6,4,1,2,7,5,8,3]=>{{1,3,5,6,7,8},{2,4}}=>4
[4,8,1,3,6,7,2,5]=>[6,4,2,1,8,7,5,3]=>{{1,2,3,4,5,6,7,8}}=>0
[6,3,8,2,5,1,7,4]=>[5,6,3,1,7,4,8,2]=>{{1,2,4,5,6,7,8},{3}}=>5
[5,8,1,3,6,2,7,4]=>[7,5,2,1,6,4,8,3]=>{{1,2,3,4,5,6,7,8}}=>0
[5,8,4,1,2,7,6,3]=>[5,4,7,3,2,8,1,6]=>{{1,2,3,4,5,7},{6,8}}=>0
[5,2,6,4,1,7,3,8]=>[2,5,4,7,3,6,1,8]=>{{1,2,3,4,5,7},{6},{8}}=>1
[5,3,6,8,4,7,2,1]=>[6,8,3,5,1,7,2,4]=>{{1,2,4,5,6,7,8},{3}}=>5
[4,7,2,5,8,3,6,1]=>[8,4,1,7,5,2,3,6]=>{{1,2,3,4,6,7,8},{5}}=>3
[5,2,6,8,4,3,7,1]=>[2,7,6,5,1,3,8,4]=>{{1,2,4,5,7,8},{3,6}}=>2
[5,1,6,8,4,3,2,7]=>[8,1,6,5,2,3,4,7]=>{{1,2,4,5,7,8},{3,6}}=>2
[8,5,4,7,6,3,2,1]=>[4,6,8,5,7,1,2,3]=>{{1,2,4,5,6,7},{3,8}}=>0
[8,5,6,7,1,3,2,4]=>[5,8,7,6,4,2,3,1]=>{{1,2,4,5,6,8},{3,7}}=>1
[6,7,8,5,1,3,2,4]=>[7,6,5,8,4,2,3,1]=>{{1,3,4,5,7,8},{2,6}}=>2
[5,7,6,8,2,3,4,1]=>[8,6,7,5,3,2,1,4]=>{{1,3,4,5,7,8},{2,6}}=>2
[4,7,6,2,8,3,5,1]=>[8,4,7,2,6,3,1,5]=>{{1,3,5,6,7,8},{2,4}}=>4
[3,7,6,2,4,8,5,1]=>[8,3,7,1,2,6,4,5]=>{{1,2,3,4,5,7,8},{6}}=>2
[8,7,2,5,1,3,6,4]=>[5,7,1,8,4,3,2,6]=>{{1,3,4,5,6,8},{2,7}}=>1
[8,2,6,5,1,3,7,4]=>[2,5,6,7,4,3,8,1]=>{{1,2,4,5,7,8},{3,6}}=>2
[5,7,6,8,4,1,2,3]=>[8,6,7,5,1,4,3,2]=>{{1,2,4,5,6,8},{3,7}}=>1
[3,7,6,5,1,8,2,4]=>[7,3,5,8,4,6,2,1]=>{{1,2,3,4,5,7,8},{6}}=>2
[8,1,2,3,4,5,6,7,9]=>[8,1,2,3,4,5,6,7,9]=>{{1,2,3,4,5,6,7,8},{9}}=>0
[1,9,2,3,4,5,6,7,8]=>[1,9,2,3,4,5,6,7,8]=>{{1},{2,3,4,5,6,7,8,9}}=>0
[9,1,2,3,4,5,6,7,8,10]=>[9,1,2,3,4,5,6,7,8,10]=>{{1,2,3,4,5,6,7,8,9},{10}}=>0
[1,10,2,3,4,5,6,7,8,9]=>[1,10,2,3,4,5,6,7,8,9]=>{{1},{2,3,4,5,6,7,8,9,10}}=>0
[10,1,2,3,4,5,6,7,8,9,11]=>[10,1,2,3,4,5,6,7,8,9,11]=>{{1,2,3,4,5,6,7,8,9,10},{11}}=>0
[1,11,2,3,4,5,6,7,8,9,10]=>[1,11,2,3,4,5,6,7,8,9,10]=>{{1},{2,3,4,5,6,7,8,9,10,11}}=>0
[5,6,4,3,8,7,1,2]=>[6,4,8,1,5,7,3,2]=>{{1,2,3,4,6,7,8},{5}}=>3
[1,6,2,4,7,8,5,3]=>[1,4,2,8,7,6,3,5]=>{{1},{2,3,4,5,7,8},{6}}=>2
[3,4,7,2,8,1,6,5]=>[8,4,3,1,7,5,2,6]=>{{1,2,4,5,6,7,8},{3}}=>5
[7,8,1,4,2,6,5,3]=>[6,4,2,7,3,8,1,5]=>{{1,2,3,4,5,6,7,8}}=>0
[4,1,7,5,3,2,6,8]=>[7,1,4,5,2,3,6,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[6,5,1,3,4,2,8,7]=>[5,6,2,1,3,4,8,7]=>{{1,2,3,4,5,6},{7,8}}=>0
[4,8,5,3,1,7,2,6]=>[7,4,5,1,3,8,6,2]=>{{1,2,4,6,7,8},{3,5}}=>3
[3,6,2,5,8,1,7,4]=>[6,3,1,7,5,4,8,2]=>{{1,2,3,4,6,7,8},{5}}=>3
[6,1,3,2,7,5,8,4]=>[3,1,8,2,6,4,7,5]=>{{1,2,3,4,5,6,8},{7}}=>1
[4,1,6,3,8,2,7,5]=>[7,1,4,2,6,5,8,3]=>{{1,2,3,4,7,8},{5,6}}=>2
[3,5,7,8,4,1,2,6]=>[8,7,3,5,1,4,6,2]=>{{1,2,4,5,6,7,8},{3}}=>5
[1,4,7,5,3,8,2,6]=>[1,8,4,5,2,7,6,3]=>{{1},{2,3,4,5,8},{6,7}}=>1
[6,1,4,2,8,5,7,3]=>[4,1,7,3,6,2,8,5]=>{{1,2,3,4,5,6,7,8}}=>0
[8,6,5,1,2,4,7,3]=>[5,6,7,3,4,1,8,2]=>{{1,2,3,4,5,6,7,8}}=>0
[6,7,5,8,2,1,4,3]=>[7,6,8,5,3,4,1,2]=>{{1,7},{2,3,4,5,6,8}}=>0
[8,3,1,5,6,2,7,4]=>[3,5,2,7,6,4,8,1]=>{{1,2,3,4,5,6,7,8}}=>0
[7,6,5,8,1,2,4,3]=>[6,7,8,5,4,3,1,2]=>{{1,2,3,6,7,8},{4,5}}=>3
[5,1,3,7,8,6,2,4]=>[3,1,7,6,5,8,4,2]=>{{1,2,3,4,6,7,8},{5}}=>3
[7,2,5,8,1,6,4,3]=>[2,6,7,5,4,8,1,3]=>{{1,2,3,6,7,8},{4,5}}=>3
[8,1,6,5,7,3,2,4]=>[5,1,7,8,6,3,4,2]=>{{1,2,3,4,5,6,7,8}}=>0
[4,1,7,3,5,6,8,2]=>[5,1,4,2,6,8,7,3]=>{{1,2,3,4,5,6,8},{7}}=>1
[4,7,6,1,5,2,8,3]=>[6,4,5,3,8,2,7,1]=>{{1,2,3,4,5,6,8},{7}}=>1
[8,1,3,5,7,6,2,4]=>[3,1,5,7,6,8,4,2]=>{{1,2,3,5,6,8},{4,7}}=>1
[7,4,6,2,5,1,8,3]=>[4,6,5,2,8,3,7,1]=>{{1,2,3,4,5,6,8},{7}}=>1
[7,2,6,4,5,1,8,3]=>[2,4,5,6,8,3,7,1]=>{{1,2,3,4,5,6,8},{7}}=>1
[6,8,3,4,5,7,1,2]=>[4,3,5,6,8,7,2,1]=>{{1,2,3,4,5,6,7,8}}=>0
[7,8,3,2,5,1,4,6]=>[5,3,7,1,8,4,6,2]=>{{1,2,3,4,5,6,7,8}}=>0
[1,8,3,6,7,4,5,2]=>[1,3,6,8,7,4,2,5]=>{{1},{2,3,4,5,6,7,8}}=>0
[6,3,1,2,8,4,5,7]=>[3,8,2,1,6,5,4,7]=>{{1,2,3,4,7,8},{5,6}}=>2
[2,8,1,4,5,6,3,7]=>[4,2,1,5,6,8,3,7]=>{{1,3,4,5,6,7,8},{2}}=>6
[4,2,6,1,8,5,3,7]=>[2,8,4,3,6,1,5,7]=>{{1,2,5,6,7,8},{3,4}}=>4
[7,8,2,1,4,5,3,6]=>[8,7,1,3,2,4,6,5]=>{{1,2,3,4,5,6,7,8}}=>0
[5,6,1,7,4,8,2,3]=>[8,7,2,5,1,6,4,3]=>{{1,2,3,4,5,7,8},{6}}=>2
[8,5,3,6,2,7,4,1]=>[3,5,8,6,2,7,1,4]=>{{1,3,4,6,7,8},{2,5}}=>3
[4,7,5,6,3,2,8,1]=>[8,4,6,5,1,2,7,3]=>{{1,2,3,4,5,6,8},{7}}=>1
[8,1,6,5,7,2,4,3]=>[5,1,7,8,6,4,2,3]=>{{1,2,3,4,5,6,7,8}}=>0
[3,8,6,4,2,7,5,1]=>[6,3,4,8,1,7,2,5]=>{{1,2,3,4,5,6,7,8}}=>0
[7,8,5,2,4,6,3,1]=>[6,5,7,2,1,8,3,4]=>{{1,2,4,5,6,8},{3,7}}=>1
[6,7,1,4,8,3,2,5]=>[7,4,2,8,6,3,5,1]=>{{1,2,3,4,5,6,7,8}}=>0
[6,5,1,4,3,8,2,7]=>[4,5,2,8,1,6,3,7]=>{{1,2,3,4,5,7,8},{6}}=>2
[1,6,2,5,8,3,4,7]=>[1,6,2,8,5,4,3,7]=>{{1},{2,3,4,6,7,8},{5}}=>3
[8,5,1,3,7,2,6,4]=>[5,8,2,1,7,4,3,6]=>{{1,2,3,4,5,6,7,8}}=>0
[3,4,8,5,6,7,2,1]=>[8,4,3,5,6,7,1,2]=>{{1,2,4,5,6,7,8},{3}}=>5
[6,3,5,8,4,7,2,1]=>[3,8,6,5,1,7,2,4]=>{{1,2,3,4,5,6,7,8}}=>0
[1,3,8,7,5,6,2,4]=>[1,5,3,6,7,8,4,2]=>{{1},{2,4,5,6,7,8},{3}}=>5
[2,1,8,7,4,6,3,5]=>[2,1,6,7,3,8,5,4]=>{{1,2},{3,4,5,6,7,8}}=>0
[6,1,5,8,7,4,2,3]=>[7,1,8,5,6,2,4,3]=>{{1,2,4,5,6,7},{3,8}}=>0
[5,8,6,7,4,3,2,1]=>[8,5,7,6,1,2,3,4]=>{{1,2,4,5,6,8},{3,7}}=>1
[4,8,7,5,6,3,2,1]=>[8,4,5,6,7,1,2,3]=>{{1,2,3,4,5,6,7,8}}=>0
[6,2,1,4,3,5,8,7]=>[2,4,1,6,3,5,8,7]=>{{1,2,3,4,5,6},{7,8}}=>0
[6,2,1,4,3,8,5,7]=>[2,4,1,8,3,6,5,7]=>{{1,2,3,4,5,7,8},{6}}=>2
[8,2,1,4,3,6,5,7]=>[2,4,1,6,3,8,5,7]=>{{1,2,3,4,5,6,7,8}}=>0
[8,2,4,1,3,6,5,7]=>[2,4,6,3,1,8,5,7]=>{{1,2,3,4,5,6,7,8}}=>0
[4,6,2,1,8,3,5,7]=>[8,4,1,3,6,5,2,7]=>{{1,2,3,4,7,8},{5,6}}=>2
[2,1,8,4,3,6,5,7]=>[2,1,4,6,3,8,5,7]=>{{1,2},{3,4,5,6,7,8}}=>0
[2,8,1,4,3,6,5,7]=>[4,2,1,6,3,8,5,7]=>{{1,3,4,5,6,7,8},{2}}=>6
[2,8,4,1,3,6,5,7]=>[4,2,6,3,1,8,5,7]=>{{1,3,4,5,6,7,8},{2}}=>6
[4,8,2,1,3,6,5,7]=>[6,4,1,3,2,8,5,7]=>{{1,2,3,4,5,6,7,8}}=>0
[8,6,2,1,4,3,5,7]=>[6,8,1,3,2,5,4,7]=>{{1,2,3,4,5,6,7,8}}=>0
[2,8,1,4,6,3,5,7]=>[4,2,1,6,8,5,3,7]=>{{1,3,4,5,6,7,8},{2}}=>6
[2,1,8,4,6,3,5,7]=>[2,1,4,6,8,5,3,7]=>{{1,2},{3,4,5,6,7,8}}=>0
[2,6,4,8,1,3,5,7]=>[6,2,8,4,3,5,1,7]=>{{1,3,5,6,7,8},{2},{4}}=>9
[4,6,2,8,1,3,5,7]=>[8,6,1,4,3,5,2,7]=>{{1,2,3,5,6,7,8},{4}}=>4
[6,2,4,1,8,3,5,7]=>[2,4,8,3,6,5,1,7]=>{{1,2,3,4,7,8},{5,6}}=>2
[8,2,4,1,6,3,5,7]=>[2,4,6,3,8,5,1,7]=>{{1,2,3,4,5,6,7,8}}=>0
[8,2,1,4,6,3,5,7]=>[2,4,1,6,8,5,3,7]=>{{1,2,3,4,5,6,7,8}}=>0
[6,2,1,4,8,3,5,7]=>[2,4,1,8,6,5,3,7]=>{{1,2,3,4,7,8},{5,6}}=>2
[4,2,1,8,3,6,5,7]=>[2,6,1,4,3,8,5,7]=>{{1,2,3,5,6,7,8},{4}}=>4
[6,2,8,1,4,3,5,7]=>[2,8,6,3,1,5,4,7]=>{{1,2,3,4,5,6,7,8}}=>0
[4,2,8,1,6,3,5,7]=>[2,6,4,3,8,5,1,7]=>{{1,2,5,6,7,8},{3,4}}=>4
[4,2,8,1,3,6,5,7]=>[2,6,4,3,1,8,5,7]=>{{1,2,5,6,7,8},{3,4}}=>4
[2,4,1,8,3,6,5,7]=>[6,2,1,4,3,8,5,7]=>{{1,3,5,6,7,8},{2},{4}}=>9
[2,1,6,8,4,3,5,7]=>[2,1,8,6,3,5,4,7]=>{{1,2},{3,4,5,6,7,8}}=>0
[6,8,4,2,1,3,5,7]=>[6,4,8,2,3,5,1,7]=>{{1,3,5,6,7,8},{2,4}}=>4
[6,2,4,1,5,3,8,7]=>[2,4,5,3,6,1,8,7]=>{{1,2,3,4,5,6},{7,8}}=>0
[4,3,8,1,5,2,7,6]=>[4,5,3,2,7,1,8,6]=>{{1,2,4,5,6,7,8},{3}}=>5
[5,1,8,3,4,2,7,6]=>[7,1,5,2,3,4,8,6]=>{{1,2,4,6,7,8},{3,5}}=>3
[7,1,6,3,8,4,5,2]=>[7,1,8,2,6,4,3,5]=>{{1,2,3,4,5,6,7,8}}=>0
[2,1,8,4,6,3,7,5]=>[2,1,4,6,7,5,8,3]=>{{1,2},{3,4,5,6,7,8}}=>0
[8,1,6,3,4,2,7,5]=>[6,1,7,2,3,5,8,4]=>{{1,2,3,4,5,6,7,8}}=>0
[8,1,6,3,7,2,5,4]=>[6,1,8,2,7,5,3,4]=>{{1,2,3,4,5,6,7,8}}=>0
[7,3,5,2,6,4,8,1]=>[3,8,5,1,6,2,7,4]=>{{1,2,3,4,5,6,8},{7}}=>1
[8,2,6,3,5,1,7,4]=>[2,5,6,1,7,4,8,3]=>{{1,2,3,4,5,6,7,8}}=>0
[8,2,7,1,5,3,6,4]=>[2,5,7,3,8,4,1,6]=>{{1,2,3,4,5,6,7,8}}=>0
[8,2,4,1,5,3,7,6]=>[2,4,5,3,7,1,8,6]=>{{1,2,3,4,5,6,7,8}}=>0
[3,2,8,4,6,1,7,5]=>[2,4,3,6,7,5,8,1]=>{{1,2,4,5,6,7,8},{3}}=>5
[7,2,4,1,8,5,6,3]=>[2,4,8,3,7,1,5,6]=>{{1,2,3,4,6,8},{5,7}}=>1
[7,6,8,1,5,2,4,3]=>[6,7,5,3,8,4,1,2]=>{{1,2,3,4,5,6,7,8}}=>0
[7,1,3,2,8,5,6,4]=>[3,1,8,2,7,4,5,6]=>{{1,2,3,4,6,8},{5,7}}=>1
[7,1,8,5,6,2,4,3]=>[6,1,5,8,7,4,2,3]=>{{1,2,3,4,5,6,7,8}}=>0
[7,2,8,1,5,4,6,3]=>[2,7,5,3,8,1,4,6]=>{{1,2,3,4,5,6,7,8}}=>0
[6,2,7,4,5,3,8,1]=>[2,5,4,6,8,1,7,3]=>{{1,2,3,4,5,6,8},{7}}=>1
[5,4,8,2,6,1,7,3]=>[5,7,4,2,6,3,8,1]=>{{1,2,3,4,5,6,7,8}}=>0
[2,8,3,1,5,4,6,7]=>[3,2,5,1,8,4,6,7]=>{{1,3,4,5,6,7,8},{2}}=>6
[3,8,4,7,6,5,2,1]=>[7,3,4,6,8,1,2,5]=>{{1,2,3,4,6,7},{5,8}}=>0
[6,4,8,1,7,3,5,2]=>[6,8,4,3,7,2,1,5]=>{{1,2,5,6,7,8},{3,4}}=>4
[7,6,4,1,3,8,2,5]=>[4,7,8,3,1,6,5,2]=>{{1,2,3,4,5,7,8},{6}}=>2
[2,6,8,4,3,7,5,1]=>[6,2,4,8,1,7,3,5]=>{{1,3,4,5,6,7,8},{2}}=>6
[6,2,4,8,3,7,5,1]=>[2,6,8,4,1,7,3,5]=>{{1,2,3,5,6,7,8},{4}}=>4
[7,2,6,3,4,1,8,5]=>[2,6,8,1,3,5,7,4]=>{{1,2,3,4,5,6,8},{7}}=>1
[2,7,1,8,3,5,4,6]=>[8,2,1,7,4,3,6,5]=>{{1,3,4,5,6,7,8},{2}}=>6
[8,7,1,3,6,2,4,5]=>[6,7,2,1,8,5,4,3]=>{{1,2,3,4,5,6,7,8}}=>0
[8,2,1,7,3,5,6,4]=>[2,7,1,8,4,3,5,6]=>{{1,2,3,4,5,6,7,8}}=>0
[7,8,2,6,3,1,5,4]=>[7,6,1,8,3,5,2,4]=>{{1,2,3,5,6,7},{4,8}}=>0
[8,7,2,6,3,5,4,1]=>[6,7,1,8,3,2,4,5]=>{{1,2,3,4,5,6,7,8}}=>0
[8,3,7,1,5,6,2,4]=>[3,6,5,2,7,8,4,1]=>{{1,2,3,4,5,6,7,8}}=>0
[5,2,1,8,6,7,4,3]=>[2,8,1,5,6,7,3,4]=>{{1,2,3,4,5,6,7,8}}=>0
[2,8,5,7,6,4,3,1]=>[5,2,8,6,7,1,3,4]=>{{1,3,4,5,6,7,8},{2}}=>6
[8,7,6,1,5,3,4,2]=>[5,6,7,3,8,2,1,4]=>{{1,3,4,5,7,8},{2,6}}=>2
[8,7,1,6,4,5,3,2]=>[6,7,2,8,1,3,4,5]=>{{1,2,3,4,5,6,7,8}}=>0
[8,1,7,5,6,4,3,2]=>[5,1,6,8,7,2,3,4]=>{{1,2,3,5,6,7},{4,8}}=>0
[8,1,4,7,3,6,2,5]=>[4,1,7,6,2,8,5,3]=>{{1,2,3,4,5,6,7,8}}=>0
[8,5,1,4,7,3,2,6]=>[4,5,2,8,7,1,6,3]=>{{1,2,3,4,5,6,7,8}}=>0
[8,5,3,7,1,4,2,6]=>[3,5,8,7,4,1,6,2]=>{{1,2,3,4,5,6,7,8}}=>0
[4,7,1,3,5,8,6,2]=>[5,4,2,1,8,7,3,6]=>{{1,2,3,4,5,6,7,8}}=>0
[3,8,6,4,1,7,2,5]=>[6,3,4,8,2,7,5,1]=>{{1,2,3,4,5,6,7,8}}=>0
[8,7,2,6,4,1,3,5]=>[6,7,1,8,2,5,4,3]=>{{1,2,3,4,5,6,7,8}}=>0
[4,6,2,1,8,7,5,3]=>[8,4,1,3,6,7,2,5]=>{{1,2,3,4,5,6,7,8}}=>0
[5,6,1,4,8,2,7,3]=>[6,4,2,7,5,3,8,1]=>{{1,2,3,4,6,7,8},{5}}=>3
[5,6,3,1,8,7,2,4]=>[6,3,8,2,5,7,4,1]=>{{1,2,3,4,6,7,8},{5}}=>3
[3,8,2,7,6,1,5,4]=>[6,3,1,7,8,5,2,4]=>{{1,2,3,4,5,6,7,8}}=>0
[4,8,7,2,6,5,1,3]=>[7,4,6,2,8,1,5,3]=>{{1,3,5,6,7,8},{2,4}}=>4
[4,8,7,3,2,1,6,5]=>[8,4,7,1,2,5,3,6]=>{{1,2,4,5,6,8},{3,7}}=>1
[4,8,7,3,6,2,1,5]=>[7,4,6,1,8,3,5,2]=>{{1,2,4,5,7,8},{3,6}}=>2
[4,8,7,3,6,5,2,1]=>[7,4,6,1,8,2,3,5]=>{{1,2,3,4,6,7},{5,8}}=>0
[5,8,7,6,3,4,2,1]=>[8,5,6,7,2,1,3,4]=>{{1,3,4,6,7,8},{2,5}}=>3
[5,8,7,6,2,1,4,3]=>[8,5,6,7,3,4,1,2]=>{{1,2,3,4,5,6,7,8}}=>0
[5,8,7,6,4,2,3,1]=>[8,5,6,7,1,3,2,4]=>{{1,2,4,5,7,8},{3,6}}=>2
[5,8,7,6,4,1,3,2]=>[8,5,6,7,1,4,2,3]=>{{1,2,3,4,5,6,7,8}}=>0
[7,3,5,2,6,4,1,8]=>[3,7,5,1,6,2,4,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[1,5,6,7,8,3,4,2]=>[1,8,7,6,5,3,2,4]=>{{1},{2,3,4,6,7,8},{5}}=>3
[1,5,6,7,8,4,2,3]=>[1,8,7,6,5,2,4,3]=>{{1},{2,3,4,6,7,8},{5}}=>3
[1,5,3,7,4,8,2,6]=>[1,3,8,5,2,7,6,4]=>{{1},{2,3,4,5,8},{6,7}}=>1
[5,8,1,4,7,6,3,2]=>[5,4,2,7,6,8,1,3]=>{{1,2,3,4,5,6,7,8}}=>0
[7,1,8,3,6,2,5,4]=>[7,1,6,2,8,5,3,4]=>{{1,2,3,4,5,6,7,8}}=>0
[7,3,1,8,4,2,6,5]=>[3,8,2,7,1,5,4,6]=>{{1,2,3,5,6,8},{4,7}}=>1
[7,2,8,3,6,1,5,4]=>[2,7,6,1,8,5,3,4]=>{{1,2,3,4,5,6,7,8}}=>0
[1,5,2,3,8,4,7,6]=>[1,7,2,3,5,4,8,6]=>{{1},{2,3,4,6,7,8},{5}}=>3
[5,1,2,3,8,4,7,6]=>[7,1,2,3,5,4,8,6]=>{{1,2,3,4,6,7,8},{5}}=>3
[5,2,3,8,1,4,7,6]=>[2,3,7,5,4,1,8,6]=>{{1,2,3,6,7,8},{4,5}}=>3
[6,3,1,4,2,8,5,7]=>[3,4,2,8,1,6,5,7]=>{{1,2,3,4,5,7,8},{6}}=>2
[2,6,3,8,7,1,5,4]=>[3,2,8,6,7,5,1,4]=>{{1,3,4,5,6,7,8},{2}}=>6
[2,6,3,8,5,1,4,7]=>[3,2,6,5,8,4,1,7]=>{{1,3,4,5,6,7,8},{2}}=>6
[5,2,3,8,4,7,1,6]=>[2,3,7,5,1,8,6,4]=>{{1,2,3,4,5,6,7,8}}=>0
[5,3,8,1,2,4,7,6]=>[5,7,3,2,4,1,8,6]=>{{1,2,4,5,6,7,8},{3}}=>5
[5,1,3,8,2,4,7,6]=>[3,1,7,5,4,2,8,6]=>{{1,2,3,6,7,8},{4,5}}=>3
[5,3,1,6,4,2,8,7]=>[3,6,2,5,1,4,8,7]=>{{1,2,3,4,5,6},{7,8}}=>0
[5,1,6,2,8,7,4,3]=>[8,1,6,3,5,7,2,4]=>{{1,2,3,4,6,7,8},{5}}=>3
[3,6,2,8,7,5,1,4]=>[8,3,1,6,7,2,5,4]=>{{1,2,3,4,6,8},{5,7}}=>1
[7,8,2,1,5,3,6,4]=>[7,5,1,3,8,4,2,6]=>{{1,2,3,4,5,6,7,8}}=>0
[6,4,1,2,7,3,5,8]=>[4,7,2,3,6,5,1,8]=>{{1,2,3,4,7},{5,6},{8}}=>1
[1,7,6,5,2,4,8,3]=>[1,5,6,8,4,2,7,3]=>{{1},{2,3,4,5,6,8},{7}}=>1
[1,7,2,4,8,3,6,5]=>[1,4,2,8,7,5,3,6]=>{{1},{2,3,4,5,6,7,8}}=>0
[6,1,4,2,8,3,5,7]=>[4,1,8,3,6,5,2,7]=>{{1,2,3,4,7,8},{5,6}}=>2
[4,1,8,2,6,3,5,7]=>[6,1,4,3,8,5,2,7]=>{{1,2,5,6,7,8},{3,4}}=>4
[4,7,2,1,5,3,6,8]=>[5,4,1,3,7,2,6,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[3,1,6,8,4,2,5,7]=>[8,1,3,6,2,5,4,7]=>{{1,2,4,5,6,7,8},{3}}=>5
[8,4,1,5,2,7,6,3]=>[4,7,2,5,3,8,1,6]=>{{1,2,3,4,5,7},{6,8}}=>0
[8,2,5,1,3,7,6,4]=>[2,5,7,3,4,8,1,6]=>{{1,2,3,4,5,7},{6,8}}=>0
[8,5,3,2,1,7,6,4]=>[3,5,7,1,4,8,2,6]=>{{1,2,3,4,5,7},{6,8}}=>0
[7,1,8,5,3,6,4,2]=>[6,1,5,7,3,8,2,4]=>{{1,2,4,6,7,8},{3,5}}=>3
[8,7,3,1,6,5,4,2]=>[3,6,7,2,8,1,4,5]=>{{1,2,3,4,6,7},{5,8}}=>0
[1,8,5,7,2,4,6,3]=>[1,5,8,7,4,2,3,6]=>{{1},{2,3,4,5,6,7,8}}=>0
[5,8,4,6,7,1,3,2]=>[7,4,8,5,6,3,1,2]=>{{1,7},{2,3,4,5,6,8}}=>0
[3,7,2,6,8,4,1,5]=>[7,3,1,8,6,4,5,2]=>{{1,2,3,4,5,6,7,8}}=>0
[3,6,5,8,1,4,2,7]=>[8,3,6,5,4,1,2,7]=>{{1,2,3,6,7,8},{4,5}}=>3
[4,7,2,5,8,6,3,1]=>[7,4,1,6,5,8,2,3]=>{{1,2,3,4,6,7,8},{5}}=>3
[6,5,3,8,7,4,1,2]=>[3,7,8,5,6,1,4,2]=>{{1,2,3,4,5,6,7,8}}=>0
[5,7,3,8,1,6,4,2]=>[6,3,7,5,4,8,1,2]=>{{1,2,3,6,7,8},{4,5}}=>3
[5,3,8,7,2,1,6,4]=>[5,8,3,7,2,4,1,6]=>{{1,2,4,5,6,7,8},{3}}=>5
[8,2,7,6,5,1,4,3]=>[2,5,6,7,8,4,1,3]=>{{1,2,3,4,5,6,7,8}}=>0
[4,3,8,7,6,2,1,5]=>[4,7,3,6,8,2,5,1]=>{{1,2,4,5,6,7,8},{3}}=>5
[7,5,8,6,4,3,2,1]=>[6,8,5,7,1,2,3,4]=>{{1,2,3,4,5,6,7,8}}=>0
[3,7,5,8,2,4,1,6]=>[8,3,7,5,2,1,6,4]=>{{1,2,3,4,5,6,7,8}}=>0
[4,1,5,8,7,3,2,6]=>[8,1,5,4,7,2,6,3]=>{{1,2,3,5,6,7,8},{4}}=>4
[4,1,7,8,5,2,3,6]=>[7,1,5,4,8,3,6,2]=>{{1,2,3,5,6,7,8},{4}}=>4
[7,5,3,8,1,4,2,6]=>[3,7,8,5,4,1,6,2]=>{{1,2,3,6,7,8},{4,5}}=>3
[5,1,8,4,7,2,3,6]=>[5,1,4,8,7,3,6,2]=>{{1,2,3,4,5,6,7,8}}=>0
[4,7,1,6,3,2,8,5]=>[8,4,2,6,1,5,7,3]=>{{1,2,3,4,5,6,8},{7}}=>1
[6,1,2,3,7,5,8,4]=>[8,1,2,3,6,4,7,5]=>{{1,2,3,4,5,6,8},{7}}=>1
[7,1,2,3,5,8,6,4]=>[5,1,2,3,8,7,4,6]=>{{1,2,3,4,5,6,7,8}}=>0
[8,1,2,3,5,7,6,4]=>[5,1,2,3,7,8,4,6]=>{{1,2,3,4,5,7},{6,8}}=>0
[8,1,2,3,6,7,5,4]=>[6,1,2,3,8,7,4,5]=>{{1,2,3,4,6,7},{5,8}}=>0
[7,1,2,3,8,5,6,4]=>[8,1,2,3,7,4,5,6]=>{{1,2,3,4,6,8},{5,7}}=>1
[8,1,2,3,7,5,6,4]=>[7,1,2,3,8,4,5,6]=>{{1,2,3,4,5,6,7,8}}=>0
[7,1,8,5,4,3,2,6]=>[7,1,5,8,2,3,6,4]=>{{1,2,3,5,6,7},{4,8}}=>0
[6,8,2,7,3,4,1,5]=>[8,6,1,7,3,4,5,2]=>{{1,2,3,4,5,6,7,8}}=>0
[7,6,2,8,3,1,4,5]=>[7,8,1,6,3,5,4,2]=>{{1,3,4,5,6,7},{2,8}}=>0
[6,7,3,2,4,1,8,5]=>[6,3,8,1,2,5,7,4]=>{{1,2,3,4,5,6,8},{7}}=>1
[7,1,2,3,5,6,8,4]=>[5,1,2,3,6,8,7,4]=>{{1,2,3,4,5,6,8},{7}}=>1
[5,1,2,3,7,8,6,4]=>[8,1,2,3,5,7,4,6]=>{{1,2,3,4,6,7,8},{5}}=>3
[5,1,2,3,8,6,7,4]=>[6,1,2,3,5,7,8,4]=>{{1,2,3,4,6,7,8},{5}}=>3
[6,1,2,3,5,8,7,4]=>[5,1,2,3,7,6,8,4]=>{{1,2,3,4,5,7,8},{6}}=>2
[7,8,1,2,6,3,5,4]=>[7,6,2,3,8,5,1,4]=>{{1,7},{2,3,4,5,6,8}}=>0
[7,1,4,2,6,3,5,8]=>[4,1,6,3,7,5,2,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[6,8,1,4,7,2,3,5]=>[6,4,2,8,7,5,3,1]=>{{1,2,3,4,5,6,7,8}}=>0
[6,8,1,7,3,5,4,2]=>[8,6,2,7,3,1,4,5]=>{{1,2,3,5,6,8},{4,7}}=>1
[6,8,1,2,7,3,5,4]=>[8,6,2,3,7,5,1,4]=>{{1,2,3,4,5,6,7,8}}=>0
[1,6,2,3,8,5,4,7]=>[1,8,2,3,6,4,5,7]=>{{1},{2,3,4,5,6,7,8}}=>0
[1,5,8,2,7,6,3,4]=>[1,7,5,3,6,8,4,2]=>{{1},{2,3,4,5,6,7,8}}=>0
[2,1,6,3,8,5,4,7]=>[2,1,8,3,6,4,5,7]=>{{1,2},{3,4,5,6,7,8}}=>0
[2,5,1,8,7,6,3,4]=>[7,2,1,5,6,8,4,3]=>{{1,3,4,5,6,7,8},{2}}=>6
[3,5,8,7,1,4,2,6]=>[8,5,3,7,4,1,6,2]=>{{1,2,4,5,6,7,8},{3}}=>5
[4,2,8,7,6,5,3,1]=>[2,7,4,6,8,1,3,5]=>{{1,2,3,4,6,7},{5,8}}=>0
[4,1,8,7,6,5,3,2]=>[7,1,4,6,8,2,3,5]=>{{1,2,3,4,6,7},{5,8}}=>0
[6,3,1,8,7,2,5,4]=>[3,8,2,6,7,5,1,4]=>{{1,2,3,4,5,6,7,8}}=>0
[1,5,3,8,7,6,2,4]=>[1,3,7,5,6,8,4,2]=>{{1},{2,3,4,5,6,7,8}}=>0
[5,6,3,1,2,4,8,7]=>[5,3,6,2,4,1,8,7]=>{{1,2,3,4,5,6},{7,8}}=>0
[5,6,2,4,3,1,8,7]=>[5,4,1,6,2,3,8,7]=>{{1,2,3,4,5,6},{7,8}}=>0
[4,5,8,1,7,2,6,3]=>[8,5,4,3,7,2,1,6]=>{{1,2,5,6,7,8},{3,4}}=>4
[3,5,1,8,7,2,6,4]=>[8,3,2,5,7,4,1,6]=>{{1,4,5,6,7,8},{2,3}}=>5
[4,5,8,3,1,7,2,6]=>[7,5,4,1,3,8,6,2]=>{{1,2,3,4,5,6,7,8}}=>0
[4,5,8,3,1,7,6,2]=>[7,5,4,1,3,8,2,6]=>{{1,2,3,4,5,7},{6,8}}=>0
[7,1,4,8,2,6,5,3]=>[6,1,7,4,3,8,2,5]=>{{1,2,3,5,6,7,8},{4}}=>4
[8,1,2,6,7,3,5,4]=>[6,1,2,8,7,5,3,4]=>{{1,2,3,5,6,7},{4,8}}=>0
[6,8,3,4,1,7,5,2]=>[4,3,6,8,2,7,1,5]=>{{1,2,3,4,5,6,7,8}}=>0
[8,7,1,4,6,2,3,5]=>[4,6,2,7,8,5,3,1]=>{{1,2,3,4,5,6,7,8}}=>0
[8,5,4,7,1,2,6,3]=>[4,7,8,5,3,2,1,6]=>{{1,2,3,4,5,6,7,8}}=>0
[8,5,1,4,7,2,6,3]=>[4,5,2,8,7,3,1,6]=>{{1,2,3,4,5,6,7,8}}=>0
[1,4,6,8,2,7,5,3]=>[1,8,6,4,3,7,2,5]=>{{1},{2,3,5,6,7,8},{4}}=>4
[5,8,7,2,3,6,1,4]=>[7,5,6,2,3,8,4,1]=>{{1,2,3,4,5,6,7,8}}=>0
[5,2,1,8,4,3,7,6]=>[2,7,1,5,3,4,8,6]=>{{1,2,3,4,5,6,7,8}}=>0
[7,3,4,8,2,1,6,5]=>[3,8,7,4,1,5,2,6]=>{{1,2,3,5,6,7,8},{4}}=>4
[6,3,4,8,2,7,5,1]=>[3,8,6,4,1,7,2,5]=>{{1,2,3,5,6,7,8},{4}}=>4
[5,3,4,1,8,2,7,6]=>[3,7,4,2,5,1,8,6]=>{{1,2,3,4,6,7,8},{5}}=>3
[8,1,4,5,2,3,7,6]=>[4,1,7,5,3,2,8,6]=>{{1,2,3,4,5,6,7,8}}=>0
[3,5,4,2,8,1,7,6]=>[7,3,4,1,5,2,8,6]=>{{1,2,3,4,6,7,8},{5}}=>3
[8,1,5,6,7,2,3,4]=>[5,1,8,7,6,4,3,2]=>{{1,2,3,4,5,6,7,8}}=>0
[7,2,8,5,6,3,1,4]=>[2,6,5,8,7,3,4,1]=>{{1,2,3,4,5,6,7,8}}=>0
[4,2,1,8,6,7,3,5]=>[2,6,1,4,8,7,5,3]=>{{1,2,3,5,6,7,8},{4}}=>4
[2,3,8,6,7,1,4,5]=>[6,2,3,8,7,5,4,1]=>{{1,4,5,6,7,8},{2},{3}}=>10
[8,1,3,2,6,7,4,5]=>[3,1,6,2,8,7,5,4]=>{{1,2,3,4,5,6,7,8}}=>0
[2,3,8,7,1,6,5,4]=>[6,2,3,7,4,8,1,5]=>{{1,4,5,6,7,8},{2},{3}}=>10
[5,2,8,7,6,4,1,3]=>[2,8,5,6,7,1,4,3]=>{{1,2,3,4,5,6,7,8}}=>0
[7,3,6,1,8,5,4,2]=>[3,8,7,2,6,1,4,5]=>{{1,2,3,4,5,6,7,8}}=>0
[4,5,7,6,8,3,1,2]=>[8,7,4,6,5,1,3,2]=>{{1,2,3,4,6,7,8},{5}}=>3
[6,5,1,7,4,3,8,2]=>[6,8,2,5,1,3,7,4]=>{{1,2,3,4,5,6,8},{7}}=>1
[8,1,7,6,5,4,3,2]=>[5,1,6,7,8,2,3,4]=>{{1,2,3,4,5,6,7,8}}=>0
[8,6,4,1,5,2,7,3]=>[4,5,6,3,7,2,8,1]=>{{1,2,3,4,5,6,7,8}}=>0
[8,7,3,1,5,2,4,6]=>[3,5,7,2,8,4,6,1]=>{{1,2,3,4,5,6,7,8}}=>0
[8,5,1,2,6,7,3,4]=>[5,8,2,3,6,7,4,1]=>{{1,2,3,4,5,6,7,8}}=>0
[8,5,1,3,6,4,7,2]=>[5,7,2,1,6,3,8,4]=>{{1,2,3,4,5,6,7,8}}=>0
[8,6,1,5,2,4,7,3]=>[5,6,2,7,4,1,8,3]=>{{1,2,3,4,5,6,7,8}}=>0
[8,7,1,2,5,4,3,6]=>[5,7,2,3,8,1,6,4]=>{{1,2,3,4,5,6,7,8}}=>0
[8,1,5,7,2,4,6,3]=>[5,1,8,7,4,2,3,6]=>{{1,2,3,4,5,6,7,8}}=>0
[6,1,2,8,7,5,3,4]=>[8,1,2,6,7,3,5,4]=>{{1,2,3,4,6,8},{5,7}}=>1
[6,1,2,4,8,7,5,3]=>[4,1,2,8,6,7,3,5]=>{{1,2,3,4,5,6,7,8}}=>0
[6,1,2,7,8,5,3,4]=>[8,1,2,7,6,3,5,4]=>{{1,2,3,4,5,6,7,8}}=>0
[5,7,1,3,8,4,6,2]=>[8,7,2,1,5,3,4,6]=>{{1,2,3,4,6,7,8},{5}}=>3
[4,7,3,1,5,8,6,2]=>[4,3,5,2,8,7,1,6]=>{{1,2,3,4,5,6,7,8}}=>0
[3,1,8,6,4,7,5,2]=>[6,1,3,8,2,7,4,5]=>{{1,2,4,5,6,7,8},{3}}=>5
[8,1,2,6,7,4,5,3]=>[6,1,2,8,7,4,3,5]=>{{1,2,3,4,5,6,7,8}}=>0
[6,1,2,8,7,3,5,4]=>[8,1,2,6,7,5,3,4]=>{{1,2,3,4,5,6,7,8}}=>0
[3,1,7,8,4,6,5,2]=>[7,1,3,6,2,8,4,5]=>{{1,2,4,5,6,7,8},{3}}=>5
[8,1,2,7,4,6,5,3]=>[6,1,2,7,3,8,4,5]=>{{1,2,3,5,6,8},{4,7}}=>1
[7,5,8,3,1,4,2,6]=>[7,8,5,1,4,2,6,3]=>{{1,2,3,4,5,6,7,8}}=>0
[7,8,5,3,6,4,1,2]=>[6,5,8,1,7,2,4,3]=>{{1,2,4,5,6,7},{3,8}}=>0
[7,8,5,3,1,4,6,2]=>[7,5,8,1,4,2,3,6]=>{{1,2,3,4,5,6,7,8}}=>0
[7,5,3,8,1,2,6,4]=>[3,7,8,5,4,2,1,6]=>{{1,2,3,6,7,8},{4,5}}=>3
[7,5,8,3,4,1,6,2]=>[7,8,5,1,2,4,3,6]=>{{1,2,3,4,5,6,7,8}}=>0
[7,5,6,3,4,1,8,2]=>[5,8,6,1,2,4,7,3]=>{{1,2,3,4,5,6,8},{7}}=>1
[7,5,3,4,1,2,8,6]=>[3,4,5,8,2,1,7,6]=>{{1,2,3,4,5,6,8},{7}}=>1
[7,5,3,1,4,2,6,8]=>[3,5,7,2,1,4,6,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[7,5,3,1,4,2,8,6]=>[3,5,8,2,1,4,7,6]=>{{1,2,3,4,5,6,8},{7}}=>1
[7,5,3,1,6,4,8,2]=>[3,5,8,2,6,1,7,4]=>{{1,2,3,4,5,6,8},{7}}=>1
[7,5,3,1,8,2,6,4]=>[3,7,8,2,5,4,1,6]=>{{1,2,3,4,6,7,8},{5}}=>3
[7,5,3,1,6,4,2,8]=>[3,5,7,2,6,1,4,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[7,5,3,1,8,4,2,6]=>[3,7,8,2,5,1,6,4]=>{{1,2,3,4,6,7,8},{5}}=>3
[7,5,3,1,8,6,2,4]=>[3,6,7,2,5,8,4,1]=>{{1,2,3,4,6,7,8},{5}}=>3
[7,5,3,8,6,1,4,2]=>[3,6,8,5,7,4,1,2]=>{{1,2,3,4,5,6,7,8}}=>0
[7,5,8,3,6,4,1,2]=>[6,8,5,1,7,2,4,3]=>{{1,2,3,4,5,6,7,8}}=>0
[7,5,8,3,1,6,2,4]=>[6,7,5,1,4,8,3,2]=>{{1,2,3,4,5,6,7,8}}=>0
[7,5,3,8,4,1,2,6]=>[3,7,8,5,1,4,6,2]=>{{1,2,3,4,5,6,7,8}}=>0
[7,5,6,8,3,1,4,2]=>[6,8,7,5,2,4,1,3]=>{{1,2,3,4,5,6,7,8}}=>0
[7,5,3,4,1,6,2,8]=>[3,4,5,6,2,7,1,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[7,5,3,1,6,8,4,2]=>[3,5,8,2,7,6,1,4]=>{{1,2,3,4,5,7,8},{6}}=>2
[7,5,3,1,4,6,2,8]=>[3,5,6,2,1,7,4,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[7,5,3,1,4,8,6,2]=>[3,5,8,2,1,7,4,6]=>{{1,2,3,4,5,6,7,8}}=>0
[7,5,3,4,1,8,6,2]=>[3,4,5,8,2,7,1,6]=>{{1,2,3,4,5,6,7,8}}=>0
[7,5,3,4,6,1,8,2]=>[3,4,5,8,6,2,7,1]=>{{1,2,3,4,5,6,8},{7}}=>1
[7,5,3,4,1,6,8,2]=>[3,4,5,6,2,8,7,1]=>{{1,2,3,4,5,6,8},{7}}=>1
[7,5,3,1,4,6,8,2]=>[3,5,6,2,1,8,7,4]=>{{1,2,3,4,5,6,8},{7}}=>1
[3,5,2,8,4,7,6,1]=>[7,3,1,5,2,8,4,6]=>{{1,2,3,4,5,7},{6,8}}=>0
[5,4,7,3,2,8,6,1]=>[5,8,4,1,2,7,3,6]=>{{1,2,3,4,5,6,7,8}}=>0
[5,4,8,3,2,7,6,1]=>[5,7,4,1,2,8,3,6]=>{{1,2,3,4,5,7},{6,8}}=>0
[4,7,6,3,8,5,2,1]=>[8,4,7,1,6,2,3,5]=>{{1,2,4,5,6,8},{3,7}}=>1
[4,8,6,3,7,5,2,1]=>[8,4,6,1,7,2,3,5]=>{{1,2,3,4,5,6,7,8}}=>0
[4,8,5,3,2,7,6,1]=>[7,4,5,1,2,8,3,6]=>{{1,2,3,4,5,7},{6,8}}=>0
[5,3,2,7,4,8,6,1]=>[3,8,1,5,2,7,4,6]=>{{1,3},{2,4,5,6,7,8}}=>0
[4,7,5,3,2,8,6,1]=>[8,4,5,1,2,7,3,6]=>{{1,2,3,4,5,6,7,8}}=>0
[4,6,8,3,7,5,2,1]=>[8,6,4,1,7,2,3,5]=>{{1,3,4,5,7,8},{2,6}}=>2
[7,6,4,3,8,5,2,1]=>[4,7,8,1,6,2,3,5]=>{{1,4},{2,3,5,6,7,8}}=>0
[7,3,2,6,8,5,4,1]=>[3,7,1,8,6,2,4,5]=>{{1,3},{2,4,5,6,7,8}}=>0
[8,5,7,6,4,3,2,1]=>[5,8,6,7,1,2,3,4]=>{{1,5},{2,3,4,6,7,8}}=>0
[8,4,6,3,7,5,2,1]=>[4,8,6,1,7,2,3,5]=>{{1,4},{2,3,5,6,7,8}}=>0
[3,7,2,6,8,5,4,1]=>[7,3,1,8,6,2,4,5]=>{{1,2,3,4,5,6,7,8}}=>0
[3,7,2,8,6,5,4,1]=>[7,3,1,6,8,2,4,5]=>{{1,2,3,4,6,7},{5,8}}=>0
[3,6,2,8,7,5,4,1]=>[8,3,1,6,7,2,4,5]=>{{1,2,3,4,5,6,7,8}}=>0
[6,4,8,3,7,5,2,1]=>[6,8,4,1,7,2,3,5]=>{{1,2,3,4,5,6,7,8}}=>0
[7,4,8,3,6,5,2,1]=>[6,7,4,1,8,2,3,5]=>{{1,2,3,4,6,7},{5,8}}=>0
[7,4,5,3,2,8,6,1]=>[4,8,5,1,2,7,3,6]=>{{1,4},{2,3,5,6,7,8}}=>0
[6,8,5,7,4,3,2,1]=>[7,5,8,6,1,2,3,4]=>{{1,2,3,4,5,6,7,8}}=>0
[6,3,2,8,7,5,4,1]=>[3,8,1,6,7,2,4,5]=>{{1,3},{2,4,5,6,7,8}}=>0
[6,7,4,3,8,5,2,1]=>[7,4,8,1,6,2,3,5]=>{{1,2,3,4,5,6,7,8}}=>0
[8,3,5,2,4,1,6,7]=>[3,8,5,1,2,4,6,7]=>{{1,2,3,4,5,6,7,8}}=>0
[4,2,5,8,3,7,1,6]=>[2,7,5,4,1,8,6,3]=>{{1,2,3,5,6,7,8},{4}}=>4
[2,1,6,8,4,7,3,5]=>[2,1,8,6,3,7,5,4]=>{{1,2},{3,4,5,6,7,8}}=>0
[5,4,8,3,2,1,6,7]=>[5,8,4,1,2,3,6,7]=>{{1,2,3,4,5,6,7,8}}=>0
[5,4,3,7,2,6,1,8]=>[3,5,6,4,1,7,2,8]=>{{1,2,3,5,6,7},{4},{8}}=>3
[4,1,7,3,2,5,8,6]=>[8,1,4,2,3,5,7,6]=>{{1,2,3,4,5,6,8},{7}}=>1
[4,3,1,7,8,2,6,5]=>[3,8,2,4,7,5,1,6]=>{{1,2,3,5,6,7,8},{4}}=>4
[5,4,7,3,8,6,1,2]=>[6,7,4,1,5,8,3,2]=>{{1,2,3,4,6,7,8},{5}}=>3
[5,8,7,1,4,2,6,3]=>[8,5,7,3,1,4,2,6]=>{{1,2,3,4,5,6,7,8}}=>0
[8,3,5,1,2,7,6,4]=>[3,7,5,2,4,8,1,6]=>{{1,2,3,4,5,7},{6,8}}=>0
[4,6,3,1,5,2,8,7]=>[4,3,5,2,6,1,8,7]=>{{1,2,3,4,5,6},{7,8}}=>0
[4,7,3,6,5,2,1,8]=>[4,3,6,5,7,1,2,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[1,6,8,7,4,2,5,3]=>[1,8,6,7,2,5,3,4]=>{{1},{2,3,4,5,6,7,8}}=>0
[6,4,8,7,5,3,1,2]=>[6,7,4,5,8,1,3,2]=>{{1,6},{2,3,4,5,7,8}}=>0
[2,1,7,3,8,5,4,6]=>[2,1,8,3,7,4,6,5]=>{{1,2},{3,4,5,6,7,8}}=>0
[1,6,2,3,7,8,5,4]=>[1,8,2,3,7,6,4,5]=>{{1},{2,3,4,5,7,8},{6}}=>2
[1,6,7,2,8,4,5,3]=>[1,8,7,3,6,4,2,5]=>{{1},{2,3,4,5,6,7,8}}=>0
[5,1,2,7,8,3,6,4]=>[8,1,2,7,5,4,3,6]=>{{1,2,3,4,6,7,8},{5}}=>3
[7,1,8,2,4,5,6,3]=>[8,1,7,3,2,4,5,6]=>{{1,2,3,4,5,6,7,8}}=>0
[8,3,6,5,2,1,4,7]=>[3,6,5,8,2,4,1,7]=>{{1,2,3,4,5,6,7,8}}=>0
[8,2,4,1,7,6,3,5]=>[2,4,6,3,7,8,5,1]=>{{1,2,3,4,6,8},{5,7}}=>1
[8,1,6,7,5,2,4,3]=>[5,1,7,6,8,4,2,3]=>{{1,2,3,5,7,8},{4,6}}=>2
[2,1,8,6,5,4,3,7]=>[2,1,5,6,8,3,4,7]=>{{1,2},{3,4,5,6,7,8}}=>0
[1,7,2,4,3,8,6,5]=>[1,4,2,8,3,7,5,6]=>{{1},{2,3,4,5,6,7,8}}=>0
[1,8,7,6,5,2,4,3]=>[1,5,6,7,8,4,2,3]=>{{1},{2,3,4,5,6,7,8}}=>0
[5,7,4,3,1,8,6,2]=>[5,4,8,1,3,7,2,6]=>{{1,2,3,4,5,6,7,8}}=>0
[1,8,5,3,7,2,6,4]=>[1,5,8,2,7,4,3,6]=>{{1},{2,3,4,5,6,7,8}}=>0
[1,6,3,8,7,2,5,4]=>[1,3,8,6,7,5,2,4]=>{{1},{2,3,4,5,6,7,8}}=>0
[1,6,2,4,8,7,5,3]=>[1,4,2,8,6,7,3,5]=>{{1},{2,3,4,5,6,7,8}}=>0
[7,3,6,8,5,1,2,4]=>[3,7,6,5,8,4,2,1]=>{{1,3,4,5,6,8},{2,7}}=>1
[3,6,5,2,8,1,4,7]=>[8,3,6,1,5,4,2,7]=>{{1,2,3,4,6,7,8},{5}}=>3
[3,6,5,7,2,4,1,8]=>[7,3,6,5,2,1,4,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[4,2,6,3,8,1,5,7]=>[2,8,4,1,6,5,3,7]=>{{1,2,3,4,7,8},{5,6}}=>2
[3,6,2,4,7,5,1,8]=>[4,3,1,7,6,2,5,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[3,6,2,4,1,8,5,7]=>[4,3,1,8,2,6,5,7]=>{{1,2,3,4,5,7,8},{6}}=>2
[7,3,8,2,1,6,4,5]=>[6,7,3,1,4,8,5,2]=>{{1,2,4,5,6,7,8},{3}}=>5
[8,7,6,4,3,1,5,2]=>[4,6,7,8,1,5,2,3]=>{{1,2,3,4,5,6,7,8}}=>0
[4,2,8,1,5,7,3,6]=>[2,5,4,3,7,8,6,1]=>{{1,2,5,6,7,8},{3,4}}=>4
[8,5,7,6,1,4,2,3]=>[5,8,6,7,4,1,3,2]=>{{1,3,4,5,6,7},{2,8}}=>0
[1,8,2,4,6,7,3,5]=>[1,4,2,6,8,7,5,3]=>{{1},{2,3,4,5,6,7,8}}=>0
[7,1,8,6,3,5,4,2]=>[7,1,6,8,3,2,4,5]=>{{1,2,3,4,5,6,7,8}}=>0
[7,1,5,8,3,4,6,2]=>[7,1,8,5,3,2,4,6]=>{{1,2,3,4,5,6,7,8}}=>0
[8,6,2,4,7,3,5,1]=>[4,6,1,8,7,3,2,5]=>{{1,2,3,4,5,6,7,8}}=>0
[8,6,2,4,5,7,3,1]=>[4,5,1,6,8,7,2,3]=>{{1,2,3,4,5,6,7,8}}=>0
[7,1,4,5,6,8,2,3]=>[4,1,8,5,7,6,3,2]=>{{1,2,3,4,5,7,8},{6}}=>2
[7,1,4,6,5,8,3,2]=>[4,1,7,5,8,6,2,3]=>{{1,2,3,4,5,7,8},{6}}=>2
[7,1,5,4,3,8,2,6]=>[4,1,5,8,2,7,6,3]=>{{1,2,3,4,5,8},{6,7}}=>1
[7,1,3,4,2,6,8,5]=>[3,1,4,6,2,8,7,5]=>{{1,2,3,4,5,6,8},{7}}=>1
[4,3,8,1,2,7,5,6]=>[4,7,3,2,1,8,6,5]=>{{1,2,4,5,6,7,8},{3}}=>5
[2,8,3,1,5,6,4,7]=>[3,2,5,1,6,8,4,7]=>{{1,3,4,5,6,7,8},{2}}=>6
[8,4,7,2,5,3,6,1]=>[4,7,5,2,8,1,3,6]=>{{1,2,3,4,5,6,7,8}}=>0
[4,7,8,1,2,3,6,5]=>[8,7,4,3,2,5,1,6]=>{{1,2,5,6,7,8},{3,4}}=>4
[7,2,3,4,1,6,5,8]=>[2,3,4,6,1,7,5,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[4,2,8,3,6,1,5,7]=>[2,6,4,1,8,5,3,7]=>{{1,2,3,4,5,6,7,8}}=>0
[6,8,5,7,2,1,3,4]=>[7,5,8,6,3,4,2,1]=>{{1,2,3,5,7,8},{4,6}}=>2
[1,6,8,2,4,3,7,5]=>[1,7,6,3,2,5,8,4]=>{{1},{2,3,4,5,6,7,8}}=>0
[1,5,6,2,4,7,8,3]=>[1,8,5,3,2,6,7,4]=>{{1},{2,3,4,5,8},{6},{7}}=>2
[1,5,8,2,4,7,3,6]=>[1,7,5,3,2,8,6,4]=>{{1},{2,3,4,5,6,7,8}}=>0
[1,5,7,2,4,8,3,6]=>[1,8,5,3,2,7,6,4]=>{{1},{2,3,4,5,8},{6,7}}=>1
[1,6,7,2,4,3,8,5]=>[1,8,6,3,2,5,7,4]=>{{1},{2,3,4,5,6,8},{7}}=>1
[1,5,7,2,4,6,8,3]=>[1,6,5,3,2,8,7,4]=>{{1},{2,3,4,5,6,8},{7}}=>1
[1,7,3,4,2,8,6,5]=>[1,3,4,8,2,7,5,6]=>{{1},{2,3,4,5,6,7,8}}=>0
[1,6,2,4,3,8,7,5]=>[1,4,2,7,3,6,8,5]=>{{1},{2,3,4,5,7,8},{6}}=>2
[1,6,5,2,3,8,7,4]=>[1,5,7,3,4,6,8,2]=>{{1},{2,3,4,5,7,8},{6}}=>2
[1,7,6,5,2,8,4,3]=>[1,5,7,8,4,6,2,3]=>{{1},{2,3,4,5,7,8},{6}}=>2
[1,7,5,6,2,8,3,4]=>[1,5,8,7,4,6,3,2]=>{{1},{2,3,4,5,7,8},{6}}=>2
[1,5,8,3,2,4,7,6]=>[1,7,5,2,4,3,8,6]=>{{1},{2,3,4,5,6,7,8}}=>0
[1,6,5,2,3,7,8,4]=>[1,5,8,3,4,6,7,2]=>{{1},{2,3,4,5,8},{6},{7}}=>2
[1,7,4,6,2,8,3,5]=>[1,4,8,7,3,6,5,2]=>{{1},{2,3,4,5,7,8},{6}}=>2
[1,6,8,5,2,3,7,4]=>[1,6,5,7,4,3,8,2]=>{{1},{2,3,4,5,6,7,8}}=>0
[1,7,3,4,2,8,5,6]=>[1,3,4,8,2,7,6,5]=>{{1},{2,3,4,5,8},{6,7}}=>1
[1,7,4,2,8,5,3,6]=>[1,4,8,3,7,2,6,5]=>{{1},{2,3,4,5,6,7,8}}=>0
[1,6,7,4,2,3,8,5]=>[1,6,4,8,3,5,7,2]=>{{1},{2,3,4,5,6,8},{7}}=>1
[1,6,4,2,3,8,5,7]=>[1,4,8,3,2,6,5,7]=>{{1},{2,3,4,5,7,8},{6}}=>2
[1,7,6,4,2,8,5,3]=>[1,4,7,8,3,6,2,5]=>{{1},{2,3,4,5,7,8},{6}}=>2
[8,2,4,1,6,7,5,3]=>[2,4,6,3,8,7,1,5]=>{{1,2,3,4,6,7},{5,8}}=>0
[8,6,1,4,2,7,5,3]=>[4,6,2,8,3,7,1,5]=>{{1,2,3,4,5,6,7,8}}=>0
[6,7,1,4,3,5,8,2]=>[6,4,2,8,1,3,7,5]=>{{1,2,3,4,5,6,8},{7}}=>1
[6,1,7,4,3,5,8,2]=>[6,1,4,8,2,3,7,5]=>{{1,2,3,4,5,6,8},{7}}=>1
[8,1,6,4,2,7,5,3]=>[4,1,6,8,3,7,2,5]=>{{1,2,3,4,5,6,7,8}}=>0
[8,4,1,3,7,2,5,6]=>[4,7,2,1,8,5,6,3]=>{{1,4},{2,3,5,6,7,8}}=>0
[6,8,5,7,3,2,1,4]=>[7,5,8,6,2,3,4,1]=>{{1,3,4,6,7,8},{2,5}}=>3
[3,7,8,4,6,2,1,5]=>[6,4,3,7,8,2,5,1]=>{{1,2,4,5,6,7,8},{3}}=>5
[3,7,4,6,8,2,1,5]=>[8,3,4,7,6,2,5,1]=>{{1,8},{2,3,4,5,6,7}}=>1
[5,7,6,8,3,2,1,4]=>[8,6,7,5,2,3,4,1]=>{{1,8},{2,3,4,5,6,7}}=>1
[8,2,3,4,7,6,1,5]=>[2,3,4,6,7,8,5,1]=>{{1,2,3,4,6,8},{5,7}}=>1
[5,2,3,4,8,6,1,7]=>[2,3,4,6,5,8,1,7]=>{{1,2,3,4,6,7,8},{5}}=>3
[5,2,3,8,7,6,1,4]=>[2,3,7,5,6,8,4,1]=>{{1,2,3,4,5,6,7,8}}=>0
[8,2,3,7,5,6,1,4]=>[2,3,5,6,7,8,4,1]=>{{1,2,3,4,5,6,7,8}}=>0
[1,7,8,4,2,6,5,3]=>[1,6,4,7,3,8,2,5]=>{{1},{2,3,4,5,6,7,8}}=>0
[1,4,8,3,6,2,5,7]=>[1,6,4,2,8,5,3,7]=>{{1},{2,3,4,5,6,7,8}}=>0
[6,5,8,7,3,2,1,4]=>[7,8,5,6,2,3,4,1]=>{{1,2,3,4,5,6,7,8}}=>0
[2,5,3,8,7,6,1,4]=>[3,2,7,5,6,8,4,1]=>{{1,3,4,5,6,7,8},{2}}=>6
[5,7,6,8,3,4,1,2]=>[8,6,7,5,2,1,4,3]=>{{1,2,3,4,5,6,7,8}}=>0
[3,7,6,8,4,5,1,2]=>[8,3,7,6,1,2,5,4]=>{{1,2,3,4,5,6,7,8}}=>0
[3,7,4,6,5,8,1,2]=>[7,3,4,5,8,6,2,1]=>{{1,2,3,4,5,7,8},{6}}=>2
[3,8,4,6,5,7,1,2]=>[6,3,4,5,8,7,2,1]=>{{1,2,3,4,5,6,7,8}}=>0
[1,6,2,7,5,8,3,4]=>[1,7,2,5,8,6,4,3]=>{{1},{2,3,4,5,7,8},{6}}=>2
[1,5,4,8,6,7,2,3]=>[1,5,8,4,6,7,3,2]=>{{1},{2,3,5,6,7,8},{4}}=>4
[7,8,1,5,4,6,2,3]=>[6,5,2,7,1,8,4,3]=>{{1,2,3,5,6,8},{4,7}}=>1
[7,8,5,6,1,3,2,4]=>[6,5,8,7,4,2,3,1]=>{{1,2,3,4,5,6,7,8}}=>0
[7,8,2,1,4,3,6,5]=>[8,7,1,3,2,5,4,6]=>{{1,2,3,4,5,6,7,8}}=>0
[7,8,1,2,4,3,5,6]=>[8,7,2,3,1,5,6,4]=>{{1,2,3,4,5,6,7,8}}=>0
[1,6,2,3,8,7,4,5]=>[1,8,2,3,6,7,5,4]=>{{1},{2,3,4,8},{5,6,7}}=>1
[1,4,7,6,2,5,8,3]=>[1,8,4,6,3,2,7,5]=>{{1},{2,3,4,5,6,8},{7}}=>1
[1,4,7,3,2,5,8,6]=>[1,8,4,2,3,5,7,6]=>{{1},{2,3,4,5,6,8},{7}}=>1
[7,1,5,4,3,8,6,2]=>[4,1,5,8,2,7,3,6]=>{{1,2,3,4,5,6,7,8}}=>0
[2,8,5,4,3,7,1,6]=>[4,2,5,7,1,8,6,3]=>{{1,3,4,5,6,7,8},{2}}=>6
[6,8,5,1,3,2,7,4]=>[6,5,7,3,2,4,8,1]=>{{1,3,4,6,7,8},{2,5}}=>3
[6,8,2,4,3,7,1,5]=>[6,4,1,8,2,7,5,3]=>{{1,2,3,4,5,6,7,8}}=>0
[4,8,5,7,3,2,1,6]=>[8,4,7,5,1,2,6,3]=>{{1,2,3,4,5,6,7,8}}=>0
[5,1,7,6,8,4,3,2]=>[8,1,6,7,5,2,3,4]=>{{1,2,3,4,6,7,8},{5}}=>3
[5,1,8,6,7,4,3,2]=>[8,1,5,7,6,2,3,4]=>{{1,2,3,4,5,6,7,8}}=>0
[5,4,6,8,2,1,7,3]=>[6,7,5,4,2,3,8,1]=>{{1,2,3,5,6,7,8},{4}}=>4
[6,4,5,8,1,2,7,3]=>[5,7,6,4,3,2,8,1]=>{{1,2,3,5,6,7,8},{4}}=>4
[8,4,6,5,2,1,7,3]=>[4,7,5,6,2,3,8,1]=>{{1,2,3,4,5,6,7,8}}=>0
[2,8,6,7,4,3,5,1]=>[6,2,8,7,1,4,3,5]=>{{1,3,4,5,6,7,8},{2}}=>6
[5,2,3,6,4,1,8,7]=>[2,3,6,5,1,4,8,7]=>{{1,2,3,4,5,6},{7,8}}=>0
[3,2,6,8,5,7,1,4]=>[2,6,3,5,8,7,4,1]=>{{1,2,4,5,6,7,8},{3}}=>5
[8,4,7,6,2,3,1,5]=>[4,8,6,7,2,3,5,1]=>{{1,2,4,5,7,8},{3,6}}=>2
[8,4,7,1,2,5,6,3]=>[4,8,7,3,2,1,5,6]=>{{1,2,3,4,5,6,7,8}}=>0
[4,2,8,7,3,5,6,1]=>[2,8,4,7,1,3,5,6]=>{{1,2,3,4,5,6,7,8}}=>0
[7,4,3,2,8,5,6,1]=>[3,4,8,1,7,2,5,6]=>{{1,2,3,4,6,8},{5,7}}=>1
[2,4,8,7,3,5,6,1]=>[8,2,4,7,1,3,5,6]=>{{1,3,4,5,6,7,8},{2}}=>6
[7,2,3,4,8,5,6,1]=>[2,3,4,8,7,1,5,6]=>{{1,2,3,4,6,8},{5,7}}=>1
[2,1,7,4,5,8,6,3]=>[2,1,4,5,8,7,3,6]=>{{1,2},{3,4,5,6,7,8}}=>0
[8,2,1,6,4,7,5,3]=>[2,6,1,8,3,7,4,5]=>{{1,2,3,4,5,6,7,8}}=>0
[5,1,6,8,4,7,2,3]=>[8,1,6,5,2,7,4,3]=>{{1,2,3,4,5,6,7,8}}=>0
[2,6,4,8,5,3,7,1]=>[5,2,6,4,7,1,8,3]=>{{1,3,5,6,7,8},{2},{4}}=>9
[7,3,5,8,4,2,1,6]=>[3,8,7,5,1,2,6,4]=>{{1,2,3,4,5,6,7,8}}=>0
[4,8,7,5,6,1,2,3]=>[8,4,5,6,7,3,2,1]=>{{1,8},{2,3,4,5,6,7}}=>1
[6,1,4,8,7,3,5,2]=>[6,1,8,4,7,3,2,5]=>{{1,2,3,5,6,7,8},{4}}=>4
[8,7,3,4,1,5,6,2]=>[3,4,7,8,2,1,5,6]=>{{1,2,3,4,5,6,7,8}}=>0
[6,8,4,2,1,3,7,5]=>[6,4,7,2,3,5,8,1]=>{{1,3,5,6,7,8},{2,4}}=>4
[7,8,2,4,3,5,6,1]=>[7,4,1,8,2,3,5,6]=>{{1,2,3,4,5,6,7,8}}=>0
[6,8,5,2,7,4,3,1]=>[7,5,8,2,6,1,3,4]=>{{1,2,3,4,5,6,7,8}}=>0
[7,2,5,4,3,8,1,6]=>[2,4,5,8,1,7,6,3]=>{{1,2,3,4,5,8},{6,7}}=>1
[3,8,6,1,2,5,4,7]=>[8,3,6,2,4,1,5,7]=>{{1,2,3,4,5,6,7,8}}=>0
[8,3,6,1,4,5,2,7]=>[3,8,6,2,1,4,5,7]=>{{1,2,3,4,5,6,7,8}}=>0
[6,3,8,7,4,2,5,1]=>[6,8,3,7,1,4,2,5]=>{{1,2,4,5,6,7,8},{3}}=>5
[5,8,4,3,7,6,1,2]=>[5,4,7,1,6,8,3,2]=>{{1,2,4,5,6,8},{3,7}}=>1
[2,8,6,1,7,4,5,3]=>[6,2,8,3,7,4,1,5]=>{{1,3,4,5,6,7,8},{2}}=>6
[4,8,6,5,7,2,1,3]=>[8,4,5,7,6,2,3,1]=>{{1,8},{2,3,4,5,6,7}}=>1
[4,1,3,8,5,6,7,2]=>[3,1,5,4,6,7,8,2]=>{{1,2,3,5,6,7,8},{4}}=>4
[6,5,8,4,3,1,7,2]=>[5,6,4,7,1,3,8,2]=>{{1,5},{2,3,4,6,7,8}}=>0
[1,8,5,2,3,6,7,4]=>[1,5,6,3,4,7,8,2]=>{{1},{2,3,4,5,6,7,8}}=>0
[2,8,3,1,5,6,7,4]=>[3,2,5,1,6,7,8,4]=>{{1,3,4,5,6,7,8},{2}}=>6
[4,8,3,2,5,6,7,1]=>[4,3,5,1,6,7,8,2]=>{{1,4},{2,3,5,6,7,8}}=>0
[8,2,3,1,5,6,7,4]=>[2,3,5,1,6,7,8,4]=>{{1,2,3,4,5,6,7,8}}=>0
[2,1,8,3,5,6,7,4]=>[2,1,5,3,6,7,8,4]=>{{1,2},{3,4,5,6,7,8}}=>0
[1,4,7,3,2,8,5,6]=>[1,8,4,2,3,7,6,5]=>{{1},{2,3,4,5,8},{6,7}}=>1
[2,4,1,8,6,3,7,5]=>[6,2,1,4,7,5,8,3]=>{{1,3,5,6,7,8},{2},{4}}=>9
[8,4,1,3,6,2,7,5]=>[4,6,2,1,7,5,8,3]=>{{1,4},{2,3,5,6,7,8}}=>0
[6,8,5,1,7,2,3,4]=>[7,5,8,3,6,4,2,1]=>{{1,2,3,4,5,6,7,8}}=>0
[7,3,6,5,8,2,1,4]=>[3,7,6,8,5,2,4,1]=>{{1,2,3,4,6,7,8},{5}}=>3
[2,6,1,8,3,7,5,4]=>[8,2,1,6,4,7,3,5]=>{{1,3,4,5,6,7,8},{2}}=>6
[2,8,6,3,7,1,5,4]=>[6,2,8,1,7,5,3,4]=>{{1,3,4,5,6,7,8},{2}}=>6
[5,4,8,3,7,6,1,2]=>[5,7,4,1,6,8,3,2]=>{{1,2,3,4,5,6,7,8}}=>0
[5,3,4,8,1,6,7,2]=>[3,6,5,4,2,7,8,1]=>{{1,2,3,5,6,7,8},{4}}=>4
[7,5,8,4,1,2,6,3]=>[5,7,4,8,3,2,1,6]=>{{1,2,3,4,5,6,7,8}}=>0
[7,5,1,6,2,3,8,4]=>[5,8,2,6,4,3,7,1]=>{{1,2,3,4,5,6,8},{7}}=>1
[6,5,3,1,8,4,2,7]=>[3,6,8,2,5,1,4,7]=>{{1,2,3,4,6,7,8},{5}}=>3
[7,5,1,4,8,3,2,6]=>[4,7,2,8,5,1,6,3]=>{{1,2,3,4,6,7,8},{5}}=>3
[8,1,6,4,7,3,5,2]=>[4,1,6,8,7,3,2,5]=>{{1,2,4,5,7,8},{3,6}}=>2
[8,1,5,4,3,7,6,2]=>[4,1,5,7,2,8,3,6]=>{{1,2,3,4,5,7},{6,8}}=>0
[8,1,7,2,5,4,3,6]=>[5,1,7,3,8,2,6,4]=>{{1,2,3,4,5,6,7,8}}=>0
[8,1,5,4,3,6,2,7]=>[4,1,5,6,2,8,3,7]=>{{1,2,3,4,5,6,7,8}}=>0
[5,6,1,8,4,7,2,3]=>[8,6,2,5,1,7,4,3]=>{{1,2,3,4,5,6,7,8}}=>0
[4,8,1,6,5,7,2,3]=>[6,4,2,5,8,7,3,1]=>{{1,2,3,4,5,6,7,8}}=>0
[7,8,4,5,1,6,2,3]=>[5,4,7,6,3,8,2,1]=>{{1,2,3,4,5,6,7,8}}=>0
[4,8,2,3,1,6,5,7]=>[6,4,1,2,3,8,5,7]=>{{1,3,5,6,7,8},{2,4}}=>4
[7,8,2,5,3,4,1,6]=>[7,5,1,8,3,2,6,4]=>{{1,2,3,5,6,7},{4,8}}=>0
[1,8,3,6,2,7,4,5]=>[1,3,6,8,4,7,5,2]=>{{1},{2,3,4,5,6,7,8}}=>0
[1,6,4,8,2,7,3,5]=>[1,6,8,4,3,7,5,2]=>{{1},{2,3,5,6,7,8},{4}}=>4
[6,7,5,8,1,4,2,3]=>[7,6,8,5,4,1,3,2]=>{{1,2,3,6,7,8},{4,5}}=>3
[5,8,6,7,2,3,1,4]=>[8,5,7,6,3,2,4,1]=>{{1,8},{2,3,4,5,6,7}}=>1
[6,7,2,8,1,4,3,5]=>[8,7,1,6,4,3,5,2]=>{{1,2,3,4,5,6,7,8}}=>0
[3,4,2,8,1,6,5,7]=>[6,3,1,4,2,8,5,7]=>{{1,2,3,5,6,7,8},{4}}=>4
[3,8,2,5,1,6,4,7]=>[5,3,1,6,4,8,2,7]=>{{1,2,3,4,5,6,7,8}}=>0
[4,5,2,8,1,6,3,7]=>[6,5,1,4,3,8,2,7]=>{{1,2,3,5,6,7,8},{4}}=>4
[7,1,5,8,4,6,2,3]=>[6,1,7,5,2,8,4,3]=>{{1,2,3,4,5,6,7,8}}=>0
[8,6,3,7,5,1,2,4]=>[3,5,7,6,8,4,2,1]=>{{1,2,3,5,7,8},{4,6}}=>2
[8,6,1,7,3,2,5,4]=>[6,8,2,7,3,5,1,4]=>{{1,2,3,4,5,6,7,8}}=>0
[7,6,1,8,3,5,2,4]=>[7,8,2,6,3,1,5,4]=>{{1,2,3,4,5,6,7,8}}=>0
[7,6,1,3,8,5,2,4]=>[7,8,2,1,6,3,5,4]=>{{1,2,3,4,5,6,7,8}}=>0
[8,5,2,7,1,6,3,4]=>[5,7,1,6,4,8,3,2]=>{{1,2,3,4,5,6,7,8}}=>0
[8,5,7,2,1,4,3,6]=>[5,8,7,2,4,1,6,3]=>{{1,2,3,4,5,6,7,8}}=>0
[5,8,7,3,1,4,2,6]=>[8,5,7,1,4,2,6,3]=>{{1,2,3,4,5,6,7,8}}=>0
[8,5,7,2,1,4,6,3]=>[5,8,7,2,4,1,3,6]=>{{1,2,4,5,6,8},{3,7}}=>1
[8,5,2,7,1,3,6,4]=>[5,8,1,7,4,3,2,6]=>{{1,2,3,4,5,6,7,8}}=>0
[8,7,4,1,2,3,6,5]=>[4,7,8,3,2,5,1,6]=>{{1,2,3,4,5,6,7,8}}=>0
[8,7,4,1,2,6,3,5]=>[4,6,7,3,2,8,5,1]=>{{1,2,3,4,5,6,7,8}}=>0
[8,6,1,3,7,2,5,4]=>[6,8,2,1,7,5,3,4]=>{{1,2,3,4,5,6,7,8}}=>0
[8,5,7,4,1,2,6,3]=>[4,7,5,8,3,2,1,6]=>{{1,2,4,6,7,8},{3,5}}=>3
[8,1,6,4,7,2,5,3]=>[4,1,6,8,7,5,2,3]=>{{1,2,3,4,5,6,7,8}}=>0
[5,2,8,6,4,1,3,7]=>[2,8,5,6,1,4,3,7]=>{{1,2,3,5,7,8},{4,6}}=>2
[4,8,6,3,5,1,2,7]=>[6,4,5,1,8,3,2,7]=>{{1,2,3,4,5,6,7,8}}=>0
[4,8,7,3,1,5,2,6]=>[8,4,7,1,3,2,6,5]=>{{1,2,3,4,5,6,7,8}}=>0
[8,7,3,1,6,2,4,5]=>[3,6,7,2,8,5,4,1]=>{{1,2,3,4,5,6,7,8}}=>0
[8,7,3,1,2,4,6,5]=>[3,7,8,2,4,5,1,6]=>{{1,2,3,4,5,6,7,8}}=>0
[8,3,2,7,1,5,6,4]=>[3,7,1,8,4,2,5,6]=>{{1,3},{2,4,5,6,7,8}}=>0
[8,7,2,1,6,3,4,5]=>[6,7,1,3,8,5,4,2]=>{{1,2,3,4,5,6,7,8}}=>0
[8,7,2,1,3,6,4,5]=>[6,7,1,3,4,8,5,2]=>{{1,2,3,4,5,6,7,8}}=>0
[8,7,2,1,3,4,6,5]=>[7,8,1,3,4,5,2,6]=>{{1,2,3,4,5,6,7,8}}=>0
[3,8,5,6,7,4,1,2]=>[8,3,5,7,6,1,4,2]=>{{1,2,3,5,6,8},{4,7}}=>1
[4,8,5,7,6,3,1,2]=>[8,4,6,5,7,1,3,2]=>{{1,2,3,4,5,6,7,8}}=>0
[6,2,1,5,3,4,8,7]=>[2,5,1,6,4,3,8,7]=>{{1,2,3,4,5,6},{7,8}}=>0
[5,8,1,3,7,6,4,2]=>[7,5,2,1,6,8,3,4]=>{{1,2,3,4,5,6,7,8}}=>0
[8,1,6,7,5,3,4,2]=>[5,1,7,6,8,3,2,4]=>{{1,2,3,4,5,6,7,8}}=>0
[2,1,5,8,7,6,3,4]=>[2,1,7,5,6,8,4,3]=>{{1,2},{3,4,5,6,7,8}}=>0
[8,5,1,6,3,2,7,4]=>[5,7,2,6,3,4,8,1]=>{{1,2,3,5,7,8},{4,6}}=>2
[7,4,3,8,2,1,5,6]=>[3,7,8,4,1,5,6,2]=>{{1,2,3,5,6,7,8},{4}}=>4
[7,6,8,4,2,5,3,1]=>[6,7,4,8,2,1,3,5]=>{{1,6},{2,3,4,5,7,8}}=>0
[4,1,6,3,5,8,7,2]=>[5,1,4,2,7,6,8,3]=>{{1,2,3,4,5,7,8},{6}}=>2
[6,2,5,8,4,3,7,1]=>[2,6,7,5,1,3,8,4]=>{{1,2,3,4,5,6,7,8}}=>0
[8,6,7,1,5,4,3,2]=>[5,7,6,3,8,1,2,4]=>{{1,3,4,5,6,8},{2,7}}=>1
[6,2,8,4,3,5,1,7]=>[2,6,4,8,1,3,5,7]=>{{1,2,3,4,5,6,7,8}}=>0
[3,8,1,2,6,7,4,5]=>[6,3,2,1,8,7,5,4]=>{{1,4,5,6,7,8},{2,3}}=>5
[7,4,8,6,3,2,5,1]=>[6,8,4,7,1,3,2,5]=>{{1,2,3,4,5,6,7,8}}=>0
[5,8,2,4,3,1,6,7]=>[5,4,1,8,2,3,6,7]=>{{1,2,3,4,5,6,7,8}}=>0
[8,2,1,3,4,7,5,6]=>[2,7,1,3,4,8,6,5]=>{{1,2,3,4,5,6,7,8}}=>0
[1,2,8,3,4,5,7,6]=>[1,2,7,3,4,5,8,6]=>{{1},{2},{3,4,5,6,7,8}}=>0
[1,3,8,2,6,4,5,7]=>[1,6,3,2,8,5,4,7]=>{{1},{2,4,5,6,7,8},{3}}=>5
[1,7,2,3,5,4,8,6]=>[1,5,2,3,8,4,7,6]=>{{1},{2,3,4,5,6,8},{7}}=>1
[1,3,8,2,4,5,7,6]=>[1,7,3,2,4,5,8,6]=>{{1},{2,4,5,6,7,8},{3}}=>5
[1,8,2,3,5,4,6,7]=>[1,5,2,3,8,4,6,7]=>{{1},{2,3,4,5,6,7,8}}=>0
[1,2,8,3,6,4,5,7]=>[1,2,6,3,8,5,4,7]=>{{1},{2},{3,4,5,6,7,8}}=>0
[1,8,2,3,6,4,5,7]=>[1,6,2,3,8,5,4,7]=>{{1},{2,3,4,5,6,7,8}}=>0
[1,2,8,3,5,4,6,7]=>[1,2,5,3,8,4,6,7]=>{{1},{2},{3,4,5,6,7,8}}=>0
[1,2,7,8,3,6,4,5]=>[1,2,7,6,4,8,5,3]=>{{1},{2},{3,4,5,6,7,8}}=>0
[1,5,2,7,8,3,6,4]=>[1,8,2,7,5,4,3,6]=>{{1},{2,3,4,6,7,8},{5}}=>3
[1,8,2,3,4,6,7,5]=>[1,6,2,3,4,7,8,5]=>{{1},{2,3,4,5,6,7,8}}=>0
[7,6,3,1,5,2,4,8]=>[3,5,6,2,7,4,1,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[5,8,6,4,1,7,2,3]=>[6,4,5,8,3,7,2,1]=>{{1,2,4,6,7,8},{3,5}}=>3
[5,6,7,4,1,8,2,3]=>[7,5,4,8,3,6,2,1]=>{{1,2,3,4,5,7,8},{6}}=>2
[6,4,7,5,1,2,8,3]=>[5,8,4,6,3,2,7,1]=>{{1,2,3,4,5,6,8},{7}}=>1
[6,2,1,7,5,3,8,4]=>[2,6,1,5,8,4,7,3]=>{{1,2,3,4,5,6,8},{7}}=>1
[5,6,8,4,1,7,2,3]=>[6,5,4,8,3,7,2,1]=>{{1,2,3,4,5,6,7,8}}=>0
[4,6,8,5,7,1,2,3]=>[8,5,4,7,6,3,2,1]=>{{1,8},{2,3,4,5,6,7}}=>1
[4,8,5,6,7,1,2,3]=>[8,4,7,5,6,3,2,1]=>{{1,8},{2,3,4,5,6,7}}=>1
[5,8,4,6,1,7,2,3]=>[6,4,8,5,3,7,2,1]=>{{1,2,3,4,5,6,7,8}}=>0
[5,8,3,1,6,7,2,4]=>[5,3,8,2,6,7,4,1]=>{{1,2,3,4,5,6,7,8}}=>0
[5,7,3,1,6,8,2,4]=>[5,3,8,2,7,6,4,1]=>{{1,2,3,4,5,7,8},{6}}=>2
[4,8,6,7,5,1,2,3]=>[7,4,6,5,8,3,2,1]=>{{1,2,4,5,7,8},{3,6}}=>2
[4,6,7,8,5,1,2,3]=>[7,6,5,4,8,3,2,1]=>{{1,2,3,5,6,7,8},{4}}=>4
[4,6,8,7,5,1,2,3]=>[7,6,4,5,8,3,2,1]=>{{1,2,3,4,5,6,7,8}}=>0
[4,8,7,6,5,1,2,3]=>[7,4,5,6,8,3,2,1]=>{{1,2,3,4,5,6,7,8}}=>0
[4,2,6,3,1,5,8,7]=>[2,6,4,1,3,5,8,7]=>{{1,2,3,4,5,6},{7,8}}=>0
[1,7,5,2,3,8,4,6]=>[1,5,8,3,4,7,6,2]=>{{1},{2,3,4,5,8},{6,7}}=>1
[4,2,8,3,1,6,5,7]=>[2,6,4,1,3,8,5,7]=>{{1,2,3,4,5,6,7,8}}=>0
[1,2,8,3,6,4,7,5]=>[1,2,6,3,7,5,8,4]=>{{1},{2},{3,4,5,6,7,8}}=>0
[2,6,3,1,8,5,4,7]=>[3,2,8,1,6,4,5,7]=>{{1,3,4,5,6,7,8},{2}}=>6
[7,1,8,4,2,3,5,6]=>[7,1,4,8,3,5,6,2]=>{{1,2,3,4,5,6,7,8}}=>0
[2,1,8,4,3,5,7,6]=>[2,1,4,7,3,5,8,6]=>{{1,2},{3,4,5,6,7,8}}=>0
[4,2,6,3,1,8,5,7]=>[2,8,4,1,3,6,5,7]=>{{1,2,3,4,5,7,8},{6}}=>2
[5,4,2,8,3,1,6,7]=>[5,8,1,4,2,3,6,7]=>{{1,2,3,5,6,7,8},{4}}=>4
[1,2,7,3,8,6,4,5]=>[1,2,7,3,6,8,5,4]=>{{1},{2},{3,4,5,6,7,8}}=>0
[1,5,2,3,8,7,4,6]=>[1,7,2,3,5,8,6,4]=>{{1},{2,3,4,6,7,8},{5}}=>3
[4,2,1,8,3,7,5,6]=>[2,7,1,4,3,8,6,5]=>{{1,2,3,5,6,7,8},{4}}=>4
[8,3,2,1,7,4,5,6]=>[3,7,1,2,8,5,6,4]=>{{1,3},{2,4,5,6,7,8}}=>0
[1,2,8,6,3,4,7,5]=>[1,2,6,7,4,5,8,3]=>{{1},{2},{3,4,5,6,7,8}}=>0
[1,2,7,3,8,4,6,5]=>[1,2,8,3,7,5,4,6]=>{{1},{2},{3,4,5,6,7,8}}=>0
[2,5,7,1,4,8,6,3]=>[8,2,5,3,1,7,4,6]=>{{1,3,4,5,6,7,8},{2}}=>6
[2,4,3,8,1,6,5,7]=>[3,2,6,4,1,8,5,7]=>{{1,3,5,6,7,8},{2},{4}}=>9
[4,8,6,7,2,3,5,1]=>[8,4,7,6,2,3,1,5]=>{{1,2,3,4,5,6,7,8}}=>0
[4,8,6,7,1,2,3,5]=>[8,4,7,6,3,5,2,1]=>{{1,8},{2,3,4,5,6,7}}=>1
[3,4,8,6,1,5,7,2]=>[7,4,3,6,2,1,8,5]=>{{1,2,4,5,6,7,8},{3}}=>5
[3,8,5,7,1,6,4,2]=>[7,3,5,6,4,8,1,2]=>{{1,7},{2,3,4,5,6,8}}=>0
[3,4,8,6,2,1,5,7]=>[8,4,3,6,1,5,2,7]=>{{1,2,4,5,6,7,8},{3}}=>5
[5,8,6,7,2,1,4,3]=>[8,5,7,6,3,4,1,2]=>{{1,2,3,5,7,8},{4,6}}=>2
[4,3,8,5,1,6,7,2]=>[4,6,3,5,2,7,8,1]=>{{1,2,4,5,6,7,8},{3}}=>5
[4,8,6,7,1,5,3,2]=>[8,4,7,6,3,1,2,5]=>{{1,2,3,4,5,6,7,8}}=>0
[5,8,6,7,1,4,3,2]=>[8,5,7,6,4,1,2,3]=>{{1,2,3,4,5,6,7,8}}=>0
[5,8,6,7,2,3,4,1]=>[8,5,7,6,3,2,1,4]=>{{1,2,3,4,5,6,7,8}}=>0
[5,8,6,7,1,2,4,3]=>[8,5,7,6,4,3,1,2]=>{{1,2,3,4,5,6,7,8}}=>0
[4,8,6,7,1,2,5,3]=>[8,4,7,6,3,5,1,2]=>{{1,2,3,4,5,6,7,8}}=>0
[4,8,6,7,2,5,3,1]=>[8,4,7,6,2,1,3,5]=>{{1,2,4,5,6,8},{3,7}}=>1
[4,3,8,5,1,2,6,7]=>[4,8,3,5,2,1,6,7]=>{{1,2,4,5,6,7,8},{3}}=>5
[3,8,5,7,1,4,2,6]=>[8,3,5,7,4,1,6,2]=>{{1,2,3,4,5,6,7,8}}=>0
[3,5,2,8,4,6,1,7]=>[6,3,1,5,2,8,4,7]=>{{1,2,3,4,5,6,7,8}}=>0
[5,8,6,7,3,2,4,1]=>[8,5,7,6,2,3,1,4]=>{{1,3,4,6,7,8},{2,5}}=>3
[5,8,6,7,4,2,3,1]=>[8,5,7,6,1,3,2,4]=>{{1,2,3,4,5,6,7,8}}=>0
[5,8,6,7,4,1,3,2]=>[8,5,7,6,1,4,2,3]=>{{1,2,3,5,7,8},{4,6}}=>2
[4,8,6,7,3,1,5,2]=>[8,4,7,6,1,5,2,3]=>{{1,2,3,4,5,6,7,8}}=>0
[4,1,7,5,3,2,8,6]=>[8,1,4,5,2,3,7,6]=>{{1,2,3,4,5,6,8},{7}}=>1
[4,2,8,5,3,1,7,6]=>[2,7,4,5,1,3,8,6]=>{{1,2,3,4,5,6,7,8}}=>0
[4,2,1,6,7,5,3,8]=>[2,7,1,4,6,3,5,8]=>{{1,2,3,5,6,7},{4},{8}}=>3
[5,8,6,7,4,3,1,2]=>[8,5,7,6,1,2,4,3]=>{{1,2,3,4,5,6,7,8}}=>0
[7,6,1,4,3,8,2,5]=>[4,7,2,8,1,6,5,3]=>{{1,2,3,4,5,7,8},{6}}=>2
[3,8,1,6,5,4,2,7]=>[5,3,2,6,8,1,4,7]=>{{1,4,5,6,7,8},{2,3}}=>5
[6,1,7,3,8,4,2,5]=>[8,1,7,2,6,4,5,3]=>{{1,2,3,4,5,6,7,8}}=>0
[8,2,7,6,5,3,4,1]=>[2,5,6,7,8,3,1,4]=>{{1,2,4,5,7,8},{3,6}}=>2
[8,7,3,6,4,5,2,1]=>[3,6,7,8,1,2,4,5]=>{{1,3,4,5,7,8},{2,6}}=>2
[5,7,8,6,2,1,4,3]=>[8,6,5,7,3,4,1,2]=>{{1,2,4,6,7,8},{3,5}}=>3
[3,7,2,4,5,1,6,8]=>[4,3,1,5,7,2,6,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[1,8,6,4,5,2,3,7]=>[1,4,5,6,8,3,2,7]=>{{1},{2,3,4,5,6,7,8}}=>0
[5,6,8,7,3,1,4,2]=>[8,7,5,6,2,4,1,3]=>{{1,2,3,5,7,8},{4,6}}=>2
[4,8,2,1,3,7,5,6]=>[7,4,1,3,2,8,6,5]=>{{1,2,3,4,5,6,7,8}}=>0
[6,4,1,2,7,5,8,3]=>[4,8,2,3,6,1,7,5]=>{{1,2,3,4,5,6,8},{7}}=>1
[4,1,8,3,6,7,5,2]=>[6,1,4,2,8,7,3,5]=>{{1,2,3,4,6,7},{5,8}}=>0
[8,3,7,4,5,2,6,1]=>[3,5,4,7,8,1,2,6]=>{{1,2,3,4,5,6,7,8}}=>0
[5,8,2,6,3,4,1,7]=>[8,5,1,6,3,2,4,7]=>{{1,2,3,4,5,6,7,8}}=>0
[4,1,7,5,8,6,2,3]=>[7,1,4,6,5,8,3,2]=>{{1,2,3,4,6,7,8},{5}}=>3
[5,1,7,8,4,3,6,2]=>[8,1,7,5,2,3,4,6]=>{{1,2,3,4,5,6,7,8}}=>0
[6,3,8,1,4,7,5,2]=>[6,8,3,2,1,7,4,5]=>{{1,2,4,5,6,7,8},{3}}=>5
[6,5,8,7,1,3,4,2]=>[7,8,5,6,4,2,1,3]=>{{1,7},{2,3,4,5,6,8}}=>0
[1,5,2,7,4,3,8,6]=>[1,8,2,5,3,4,7,6]=>{{1},{2,3,4,5,6,8},{7}}=>1
[3,6,8,1,5,7,2,4]=>[6,5,3,2,8,7,4,1]=>{{1,2,4,5,6,7,8},{3}}=>5
[6,8,1,5,7,2,3,4]=>[7,5,2,8,6,4,3,1]=>{{1,2,3,4,5,6,7,8}}=>0
[4,7,2,1,8,5,6,3]=>[8,4,1,3,7,2,5,6]=>{{1,2,3,4,6,8},{5,7}}=>1
[3,7,6,8,2,1,5,4]=>[8,3,7,6,2,5,1,4]=>{{1,2,3,4,5,6,7,8}}=>0
[1,7,2,6,8,5,4,3]=>[1,7,2,8,6,3,4,5]=>{{1},{2,3,4,5,6,7,8}}=>0
[7,6,8,3,1,2,5,4]=>[7,8,6,1,4,5,2,3]=>{{1,2,3,4,5,6,7,8}}=>0
[2,7,1,6,8,5,4,3]=>[7,2,1,8,6,3,4,5]=>{{1,3,4,5,6,7,8},{2}}=>6
[5,6,4,8,1,2,7,3]=>[6,5,7,4,3,2,8,1]=>{{1,2,3,5,6,7,8},{4}}=>4
[6,4,5,1,8,2,7,3]=>[4,7,6,3,5,2,8,1]=>{{1,2,3,4,6,7,8},{5}}=>3
[8,1,4,6,7,3,2,5]=>[4,1,8,6,7,3,5,2]=>{{1,2,3,4,6,8},{5,7}}=>1
[8,1,3,6,7,4,5,2]=>[3,1,6,8,7,4,2,5]=>{{1,2,3,4,5,6,7,8}}=>0
[6,3,4,1,5,8,2,7]=>[3,5,4,2,8,6,1,7]=>{{1,2,3,4,5,7,8},{6}}=>2
[8,1,6,3,2,5,7,4]=>[6,1,7,2,4,3,8,5]=>{{1,2,3,4,5,6,7,8}}=>0
[7,3,1,4,5,6,2,8]=>[3,4,2,5,6,7,1,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[7,8,4,2,1,6,5,3]=>[6,4,7,2,3,8,1,5]=>{{1,3,5,6,7,8},{2,4}}=>4
[7,8,4,2,1,5,6,3]=>[7,4,8,2,3,1,5,6]=>{{1,3,5,6,7,8},{2,4}}=>4
[7,8,3,6,4,2,1,5]=>[6,3,7,8,1,4,5,2]=>{{1,2,3,4,5,6,7,8}}=>0
[6,2,3,8,7,5,1,4]=>[2,3,8,6,7,1,5,4]=>{{1,2,3,4,6,8},{5,7}}=>1
[6,3,2,8,4,7,1,5]=>[3,8,1,6,2,7,5,4]=>{{1,3},{2,4,5,6,7,8}}=>0
[6,4,3,7,8,5,1,2]=>[3,7,8,4,6,1,5,2]=>{{1,2,3,5,6,7,8},{4}}=>4
[4,7,5,8,3,2,1,6]=>[8,5,7,4,1,2,6,3]=>{{1,2,3,5,6,7,8},{4}}=>4
[5,6,1,4,2,3,8,7]=>[5,4,2,6,3,1,8,7]=>{{1,2,3,4,5,6},{7,8}}=>0
[5,2,8,3,4,1,7,6]=>[2,7,5,1,3,4,8,6]=>{{1,2,4,6,7,8},{3,5}}=>3
[4,5,8,6,3,2,1,7]=>[8,6,4,5,1,2,3,7]=>{{1,3,4,5,7,8},{2,6}}=>2
[4,6,5,8,3,2,1,7]=>[8,5,6,4,1,2,3,7]=>{{1,2,3,5,6,7,8},{4}}=>4
[6,2,3,4,5,8,1,7]=>[2,3,4,5,8,6,1,7]=>{{1,2,3,4,5,7,8},{6}}=>2
[5,8,1,4,2,3,7,6]=>[5,4,2,7,3,1,8,6]=>{{1,2,3,4,5,6,7,8}}=>0
[5,4,7,8,3,2,1,6]=>[7,8,5,4,1,2,6,3]=>{{1,2,3,5,6,7,8},{4}}=>4
[4,7,6,8,3,2,1,5]=>[8,6,7,4,1,3,5,2]=>{{1,2,3,5,6,7,8},{4}}=>4
[4,7,8,5,3,2,1,6]=>[8,5,4,7,1,2,6,3]=>{{1,2,3,4,5,6,7,8}}=>0
[5,1,8,4,2,3,6,7]=>[5,1,4,8,3,2,6,7]=>{{1,2,3,4,5,6,7,8}}=>0
[4,7,8,6,3,2,1,5]=>[8,6,4,7,1,3,5,2]=>{{1,2,3,4,5,6,7,8}}=>0
[4,8,2,6,3,7,5,1]=>[8,4,1,6,2,7,3,5]=>{{1,2,3,4,5,6,7,8}}=>0
[4,8,3,1,6,7,5,2]=>[4,3,6,2,8,7,1,5]=>{{1,2,3,4,6,7},{5,8}}=>0
[4,3,8,7,2,5,1,6]=>[4,8,3,7,1,2,6,5]=>{{1,2,4,5,6,7,8},{3}}=>5
[6,8,1,2,4,3,5,7]=>[8,6,2,3,1,5,4,7]=>{{1,2,3,4,5,6,7,8}}=>0
[5,8,7,1,3,4,2,6]=>[8,5,7,3,2,1,6,4]=>{{1,3,4,6,7,8},{2,5}}=>3
[4,8,7,6,3,1,2,5]=>[8,4,6,7,1,5,3,2]=>{{1,2,3,4,5,6,7,8}}=>0
[1,4,3,8,2,6,5,7]=>[1,3,6,4,2,8,5,7]=>{{1},{2,3,5,6,7,8},{4}}=>4
[4,1,3,8,2,6,5,7]=>[3,1,6,4,2,8,5,7]=>{{1,2,3,5,6,7,8},{4}}=>4
[3,4,8,2,7,5,6,1]=>[7,4,3,1,8,2,5,6]=>{{1,2,4,5,6,7,8},{3}}=>5
[3,6,7,8,4,1,2,5]=>[8,7,3,6,1,5,4,2]=>{{1,2,4,5,6,7,8},{3}}=>5
[3,7,6,8,4,2,1,5]=>[8,3,7,6,1,4,5,2]=>{{1,2,3,5,7,8},{4,6}}=>2
[4,7,1,8,5,2,3,6]=>[7,5,2,4,8,3,6,1]=>{{1,2,3,5,6,7,8},{4}}=>4
[3,7,8,6,2,4,1,5]=>[7,6,3,8,2,4,5,1]=>{{1,2,4,5,6,7,8},{3}}=>5
[4,3,1,8,2,6,5,7]=>[3,6,2,4,1,8,5,7]=>{{1,2,3,5,6,7,8},{4}}=>4
[3,7,2,8,4,6,5,1]=>[7,3,1,6,2,8,4,5]=>{{1,2,3,4,5,6,7,8}}=>0
[4,2,8,6,3,1,5,7]=>[2,8,4,6,1,5,3,7]=>{{1,2,3,4,5,6,7,8}}=>0
[2,4,8,6,3,1,5,7]=>[8,2,4,6,1,5,3,7]=>{{1,3,4,5,6,7,8},{2}}=>6
[1,7,3,8,4,6,5,2]=>[1,3,7,6,2,8,4,5]=>{{1},{2,3,4,5,6,7,8}}=>0
[2,4,8,3,6,1,5,7]=>[6,2,4,1,8,5,3,7]=>{{1,3,4,5,6,7,8},{2}}=>6
[7,3,2,8,4,6,5,1]=>[3,7,1,6,2,8,4,5]=>{{1,3},{2,4,5,6,7,8}}=>0
[7,3,4,8,5,1,6,2]=>[3,7,5,4,8,2,1,6]=>{{1,2,3,5,6,7,8},{4}}=>4
[3,7,4,8,5,1,2,6]=>[7,3,5,4,8,2,6,1]=>{{1,2,3,5,6,7,8},{4}}=>4
[3,5,8,2,6,1,4,7]=>[8,5,3,1,6,4,2,7]=>{{1,2,4,5,6,7,8},{3}}=>5
[3,6,5,8,2,4,1,7]=>[8,3,6,5,2,1,4,7]=>{{1,2,3,4,5,6,7,8}}=>0
[2,8,4,5,7,3,6,1]=>[4,2,8,5,7,1,3,6]=>{{1,3,4,5,6,7,8},{2}}=>6
[4,6,8,3,7,2,5,1]=>[8,6,4,1,7,3,2,5]=>{{1,2,3,4,5,6,7,8}}=>0
[8,5,4,7,6,2,1,3]=>[4,6,8,5,7,2,3,1]=>{{1,3,4,5,7,8},{2,6}}=>2
[4,7,8,3,6,1,5,2]=>[7,6,4,1,8,5,2,3]=>{{1,2,3,4,5,6,7,8}}=>0
[1,3,8,6,4,7,5,2]=>[1,6,3,8,2,7,4,5]=>{{1},{2,4,5,6,7,8},{3}}=>5
[8,6,2,7,4,1,5,3]=>[6,8,1,7,2,5,3,4]=>{{1,2,3,4,5,6,7,8}}=>0
[7,6,2,1,4,3,8,5]=>[6,8,1,3,2,5,7,4]=>{{1,2,3,4,5,6,8},{7}}=>1
[7,6,1,3,4,2,8,5]=>[6,8,2,1,3,5,7,4]=>{{1,2,3,4,5,6,8},{7}}=>1
[1,5,7,3,2,6,8,4]=>[1,6,5,2,4,8,7,3]=>{{1},{2,3,4,5,6,8},{7}}=>1
[5,8,2,3,6,7,4,1]=>[8,5,1,2,6,7,3,4]=>{{1,2,3,4,5,6,7,8}}=>0
[4,2,7,6,3,8,1,5]=>[2,8,4,7,1,6,5,3]=>{{1,2,3,4,5,7,8},{6}}=>2
[3,7,1,8,4,2,5,6]=>[8,3,2,7,1,5,6,4]=>{{1,4,5,6,7,8},{2,3}}=>5
[8,1,3,7,4,2,6,5]=>[3,1,7,8,2,5,4,6]=>{{1,2,3,4,5,6,7,8}}=>0
[3,6,2,8,7,1,5,4]=>[8,3,1,6,7,5,2,4]=>{{1,2,3,4,5,6,7,8}}=>0
[7,2,6,8,1,5,4,3]=>[2,7,8,6,4,1,3,5]=>{{1,2,3,4,5,6,7,8}}=>0
[8,6,7,5,1,4,3,2]=>[5,7,6,8,4,1,2,3]=>{{1,3,4,5,6,8},{2,7}}=>1
[7,8,6,5,4,1,3,2]=>[6,5,7,8,1,4,2,3]=>{{1,2,3,4,5,6,7,8}}=>0
[6,4,7,3,2,1,8,5]=>[6,8,4,1,2,5,7,3]=>{{1,2,3,4,5,6,8},{7}}=>1
[5,4,7,3,2,1,6,8]=>[5,7,4,1,2,3,6,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[5,8,3,6,2,1,4,7]=>[5,3,8,6,2,4,1,7]=>{{1,2,3,5,7,8},{4,6}}=>2
[6,3,7,8,2,1,4,5]=>[7,8,3,6,2,5,4,1]=>{{1,2,4,5,6,7,8},{3}}=>5
[4,8,7,2,5,1,3,6]=>[7,4,5,2,8,3,6,1]=>{{1,3,5,6,7,8},{2,4}}=>4
[4,8,3,2,5,1,7,6]=>[4,3,5,1,7,2,8,6]=>{{1,4},{2,3,5,6,7,8}}=>0
[4,2,7,6,5,1,3,8]=>[2,6,4,5,7,3,1,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[6,5,4,2,1,7,3,8]=>[4,5,7,2,3,6,1,8]=>{{1,2,3,4,5,7},{6},{8}}=>1
[4,8,7,2,1,5,3,6]=>[8,4,7,2,3,1,6,5]=>{{1,3,5,6,7,8},{2,4}}=>4
[4,8,3,2,1,5,7,6]=>[4,3,7,1,2,5,8,6]=>{{1,4},{2,3,5,6,7,8}}=>0
[3,8,7,2,1,4,5,6]=>[8,3,7,1,4,5,6,2]=>{{1,2,3,4,5,6,7,8}}=>0
[6,4,2,7,1,5,3,8]=>[6,7,1,4,3,2,5,8]=>{{1,2,3,5,6,7},{4},{8}}=>3
[6,5,4,1,8,7,3,2]=>[4,6,8,3,5,7,1,2]=>{{1,2,3,4,6,7,8},{5}}=>3
[4,8,3,1,5,6,7,2]=>[4,3,5,2,6,7,8,1]=>{{1,2,3,4,5,6,7,8}}=>0
[3,8,7,1,5,4,6,2]=>[7,3,5,2,8,1,4,6]=>{{1,2,3,4,5,6,7,8}}=>0
[3,8,2,1,5,4,6,7]=>[5,3,1,2,8,4,6,7]=>{{1,2,3,4,5,6,7,8}}=>0
[6,5,1,7,8,4,3,2]=>[7,8,2,6,5,1,3,4]=>{{1,2,3,4,6,7,8},{5}}=>3
[5,8,1,6,7,4,3,2]=>[8,5,2,7,6,1,3,4]=>{{1,2,3,4,5,6,7,8}}=>0
[3,8,1,6,5,4,7,2]=>[5,3,2,6,7,1,8,4]=>{{1,4,5,6,7,8},{2,3}}=>5
[2,8,1,6,5,4,3,7]=>[5,2,1,6,8,3,4,7]=>{{1,3,4,5,6,7,8},{2}}=>6
[1,7,3,5,6,2,4,8]=>[1,3,5,7,6,4,2,8]=>{{1},{2,3,4,5,6,7},{8}}=>0
[8,2,3,5,6,7,1,4]=>[2,3,5,8,6,7,4,1]=>{{1,2,3,4,5,6,7,8}}=>0
[1,7,2,3,5,4,6,8]=>[1,5,2,3,7,4,6,8]=>{{1},{2,3,4,5,6,7},{8}}=>0
[8,1,2,3,5,4,6,7]=>[5,1,2,3,8,4,6,7]=>{{1,2,3,4,5,6,7,8}}=>0
[2,7,8,1,3,5,4,6]=>[8,2,7,3,4,1,6,5]=>{{1,3,4,5,6,7,8},{2}}=>6
[4,5,8,7,2,1,6,3]=>[8,7,4,5,2,3,1,6]=>{{1,2,3,4,5,6,7,8}}=>0
[8,7,3,5,6,2,1,4]=>[3,5,6,8,7,2,4,1]=>{{1,2,3,4,5,6,7,8}}=>0
[8,7,2,1,3,5,4,6]=>[7,8,1,3,4,2,6,5]=>{{1,2,3,4,5,6,7,8}}=>0
[8,6,4,1,7,5,3,2]=>[4,6,8,3,7,1,2,5]=>{{1,2,3,4,5,6,7,8}}=>0
[3,6,8,1,2,5,4,7]=>[8,6,3,2,4,1,5,7]=>{{1,2,4,5,6,7,8},{3}}=>5
[1,7,2,6,5,4,3,8]=>[1,5,2,6,7,3,4,8]=>{{1},{2,3,4,5,6,7},{8}}=>0
[8,6,3,1,2,5,4,7]=>[3,6,8,2,4,1,5,7]=>{{1,2,3,4,5,6,7,8}}=>0
[8,2,5,7,6,3,1,4]=>[2,5,8,6,7,3,4,1]=>{{1,2,3,4,5,6,7,8}}=>0
[3,6,8,1,7,5,4,2]=>[8,6,3,2,7,1,4,5]=>{{1,2,4,5,6,7,8},{3}}=>5
[8,7,2,1,6,5,4,3]=>[6,7,1,3,8,2,4,5]=>{{1,2,3,4,6,7},{5,8}}=>0
[8,7,6,3,2,1,5,4]=>[6,7,8,1,3,5,2,4]=>{{1,3,4,5,6,8},{2,7}}=>1
[8,6,1,5,2,7,4,3]=>[5,6,2,8,4,7,1,3]=>{{1,2,3,4,5,6,7,8}}=>0
[8,5,1,7,4,2,6,3]=>[5,8,2,7,1,4,3,6]=>{{1,5},{2,3,4,6,7,8}}=>0
[2,1,8,4,5,3,6,7]=>[2,1,4,5,8,3,6,7]=>{{1,2},{3,4,5,6,7,8}}=>0
[6,4,1,5,2,3,8,7]=>[4,6,2,5,3,1,8,7]=>{{1,2,3,4,5,6},{7,8}}=>0
[8,3,7,5,2,6,1,4]=>[3,6,5,7,2,8,4,1]=>{{1,2,3,5,6,8},{4,7}}=>1
[5,8,3,7,6,2,1,4]=>[5,3,8,6,7,2,4,1]=>{{1,2,3,4,5,6,7,8}}=>0
[4,2,6,3,8,5,1,7]=>[2,8,4,1,6,3,5,7]=>{{1,2,3,4,5,6,7,8}}=>0
[3,8,2,4,7,5,1,6]=>[4,3,1,7,8,2,6,5]=>{{1,2,3,4,6,7},{5,8}}=>0
[8,5,2,7,4,6,1,3]=>[5,7,1,6,2,8,4,3]=>{{1,2,3,4,5,6,7,8}}=>0
[6,3,8,1,5,7,4,2]=>[5,6,3,2,8,7,1,4]=>{{1,2,4,5,6,7,8},{3}}=>5
[7,4,2,3,1,8,6,5]=>[4,8,1,2,3,7,5,6]=>{{1,2,3,4,5,6,7,8}}=>0
[6,2,3,1,4,5,8,7]=>[2,3,6,1,4,5,8,7]=>{{1,2,3,4,5,6},{7,8}}=>0
[5,7,1,8,3,6,2,4]=>[7,6,2,5,3,8,4,1]=>{{1,2,3,4,5,6,7,8}}=>0
[6,8,1,4,5,3,2,7]=>[5,4,2,6,8,1,3,7]=>{{1,2,3,4,5,6,7,8}}=>0
[6,5,7,1,3,8,2,4]=>[7,8,5,3,2,6,4,1]=>{{1,2,3,4,5,7,8},{6}}=>2
[8,3,5,6,1,7,4,2]=>[3,8,5,6,4,7,1,2]=>{{1,3,4,5,6,7},{2,8}}=>0
[8,2,4,7,5,1,6,3]=>[2,4,7,5,8,3,1,6]=>{{1,2,3,4,5,6,7,8}}=>0
[3,8,4,7,1,6,5,2]=>[7,3,4,6,2,8,1,5]=>{{1,7},{2,3,4,5,6,8}}=>0
[2,3,8,4,6,7,1,5]=>[4,2,3,6,8,7,5,1]=>{{1,4,5,6,7,8},{2},{3}}=>10
[5,7,1,8,6,2,3,4]=>[8,6,2,5,7,4,3,1]=>{{1,8},{2,3,4,5,6,7}}=>1
[1,6,7,5,2,8,3,4]=>[1,7,5,8,4,6,3,2]=>{{1},{2,3,4,5,7,8},{6}}=>2
[6,1,7,5,2,8,3,4]=>[7,1,5,8,4,6,3,2]=>{{1,2,3,4,5,7,8},{6}}=>2
[5,1,7,8,6,3,4,2]=>[8,1,6,5,7,3,2,4]=>{{1,2,4,5,7,8},{3,6}}=>2
[6,2,7,5,1,8,3,4]=>[2,7,5,8,4,6,3,1]=>{{1,2,3,4,5,7,8},{6}}=>2
[6,7,2,5,3,8,1,4]=>[7,5,1,8,3,6,4,2]=>{{1,2,3,4,5,7,8},{6}}=>2
[6,7,4,5,2,1,8,3]=>[5,4,8,6,2,3,7,1]=>{{1,2,3,4,5,6,8},{7}}=>1
[1,6,7,5,4,2,8,3]=>[1,6,5,8,2,4,7,3]=>{{1},{2,3,4,5,6,8},{7}}=>1
[5,7,8,6,4,1,2,3]=>[8,6,5,7,1,4,3,2]=>{{1,2,3,4,5,6,7,8}}=>0
[1,6,3,7,5,8,2,4]=>[1,3,7,5,8,6,4,2]=>{{1},{2,3,4,5,7,8},{6}}=>2
[6,3,1,7,5,8,2,4]=>[3,7,2,5,8,6,4,1]=>{{1,2,3,4,5,7,8},{6}}=>2
[7,5,1,6,3,8,4,2]=>[5,8,2,7,3,6,1,4]=>{{1,2,3,4,5,7,8},{6}}=>2
[7,3,5,1,8,2,4,6]=>[3,8,7,2,5,4,6,1]=>{{1,2,3,4,6,7,8},{5}}=>3
[3,6,5,1,8,4,7,2]=>[7,3,6,2,5,1,8,4]=>{{1,2,3,4,6,7,8},{5}}=>3
[3,6,5,1,8,4,2,7]=>[8,3,6,2,5,1,4,7]=>{{1,2,3,4,6,7,8},{5}}=>3
[7,5,1,6,2,8,3,4]=>[5,8,2,7,4,6,3,1]=>{{1,2,3,4,5,7,8},{6}}=>2
[6,8,5,4,3,2,7,1]=>[5,4,6,7,1,2,8,3]=>{{1,5},{2,3,4,6,7,8}}=>0
[6,8,5,4,3,7,2,1]=>[5,4,6,8,1,7,2,3]=>{{1,5},{2,3,4,6,7,8}}=>0
[3,5,2,6,8,4,1,7]=>[8,3,1,6,5,2,4,7]=>{{1,2,3,4,6,7,8},{5}}=>3
[7,5,3,2,8,4,6,1]=>[3,7,8,1,5,2,4,6]=>{{1,2,3,4,6,7,8},{5}}=>3
[2,4,5,7,3,8,6,1]=>[8,2,5,4,1,7,3,6]=>{{1,3,5,6,7,8},{2},{4}}=>9
[4,2,8,1,5,6,3,7]=>[2,5,4,3,6,8,1,7]=>{{1,2,5,6,7,8},{3,4}}=>4
[5,6,3,7,8,4,2,1]=>[7,3,8,6,5,1,2,4]=>{{1,2,3,4,6,7,8},{5}}=>3
[7,3,8,4,2,1,5,6]=>[4,7,3,8,1,5,6,2]=>{{1,2,4,5,6,7,8},{3}}=>5
[4,6,2,7,8,5,3,1]=>[8,7,1,4,6,2,3,5]=>{{1,2,3,5,6,7,8},{4}}=>4
[4,6,2,1,7,8,5,3]=>[8,4,1,3,7,6,2,5]=>{{1,2,3,4,5,7,8},{6}}=>2
[6,2,1,7,3,8,5,4]=>[2,8,1,7,4,6,3,5]=>{{1,2,3,4,5,7,8},{6}}=>2
[1,6,2,4,5,8,3,7]=>[1,4,2,5,8,6,3,7]=>{{1},{2,3,4,5,7,8},{6}}=>2
[1,6,3,4,5,8,2,7]=>[1,3,4,5,8,6,2,7]=>{{1},{2,3,4,5,7,8},{6}}=>2
[2,1,8,5,6,7,3,4]=>[2,1,5,8,6,7,4,3]=>{{1,2},{3,4,5,6,7,8}}=>0
[1,2,8,3,5,6,7,4]=>[1,2,5,3,6,7,8,4]=>{{1},{2},{3,4,5,6,7,8}}=>0
[4,2,3,7,1,8,6,5]=>[2,3,8,4,1,7,5,6]=>{{1,2,3,5,6,7,8},{4}}=>4
[2,7,8,5,4,1,3,6]=>[7,2,5,8,1,4,6,3]=>{{1,3,4,5,6,7,8},{2}}=>6
[1,7,5,3,8,4,2,6]=>[1,7,8,2,5,3,6,4]=>{{1},{2,3,4,6,7,8},{5}}=>3
[7,2,4,8,5,3,1,6]=>[2,5,7,4,8,1,6,3]=>{{1,2,3,5,6,7,8},{4}}=>4
[3,5,2,7,4,1,8,6]=>[8,3,1,5,2,4,7,6]=>{{1,2,3,4,5,6,8},{7}}=>1
[8,4,2,3,7,1,5,6]=>[4,7,1,2,8,5,6,3]=>{{1,2,3,4,5,6,7,8}}=>0
[2,8,4,7,1,3,5,6]=>[4,2,8,7,3,5,6,1]=>{{1,3,4,5,6,7,8},{2}}=>6
[4,8,2,3,6,7,1,5]=>[6,4,1,2,8,7,5,3]=>{{1,3,5,6,7,8},{2,4}}=>4
[1,6,3,2,5,8,7,4]=>[1,3,5,2,7,6,8,4]=>{{1},{2,3,4,5,7,8},{6}}=>2
[5,8,2,7,4,1,6,3]=>[8,5,1,7,2,4,3,6]=>{{1,3,4,6,7,8},{2,5}}=>3
[1,8,4,2,5,6,7,3]=>[1,4,5,3,6,7,8,2]=>{{1},{2,3,4,5,6,7,8}}=>0
[5,2,4,7,1,8,6,3]=>[2,5,8,4,3,7,1,6]=>{{1,2,3,5,6,7,8},{4}}=>4
[8,3,6,4,1,5,2,7]=>[3,6,4,8,2,1,5,7]=>{{1,2,3,4,5,6,7,8}}=>0
[6,5,3,8,4,7,1,2]=>[3,6,8,5,1,7,4,2]=>{{1,2,3,4,5,6,7,8}}=>0
[6,8,4,3,2,7,1,5]=>[6,4,8,1,2,7,5,3]=>{{1,2,4,5,6,7},{3,8}}=>0
[5,1,3,2,8,6,7,4]=>[3,1,6,2,5,7,8,4]=>{{1,2,3,4,6,7,8},{5}}=>3
[2,4,7,3,8,1,6,5]=>[8,2,4,1,7,5,3,6]=>{{1,3,4,5,6,7,8},{2}}=>6
[8,4,7,2,3,1,5,6]=>[4,8,7,2,1,5,6,3]=>{{1,2,3,4,5,6,7,8}}=>0
[8,4,7,1,3,2,5,6]=>[4,8,7,3,1,5,6,2]=>{{1,3,4,5,6,7},{2,8}}=>0
[8,6,4,2,1,3,7,5]=>[4,6,7,2,3,5,8,1]=>{{1,2,3,4,5,6,7,8}}=>0
[8,6,4,1,3,2,7,5]=>[4,6,7,3,1,5,8,2]=>{{1,2,3,4,5,6,7,8}}=>0
[4,8,5,3,6,2,7,1]=>[7,4,5,1,6,2,8,3]=>{{1,2,3,4,5,6,7,8}}=>0
[5,8,2,6,1,3,7,4]=>[7,5,1,6,4,3,8,2]=>{{1,2,3,4,5,6,7,8}}=>0
[6,3,5,8,7,2,1,4]=>[3,8,7,5,6,2,4,1]=>{{1,2,3,4,5,6,7,8}}=>0
[4,2,8,1,5,6,7,3]=>[2,5,4,3,6,7,8,1]=>{{1,2,5,6,7,8},{3,4}}=>4
[2,7,1,8,5,4,6,3]=>[7,2,1,5,8,3,4,6]=>{{1,3,4,5,6,7,8},{2}}=>6
[8,2,4,1,5,6,7,3]=>[2,4,5,3,6,7,8,1]=>{{1,2,3,4,5,6,7,8}}=>0
[4,6,3,5,8,1,7,2]=>[4,3,7,6,5,2,8,1]=>{{1,2,3,4,6,7,8},{5}}=>3
[3,8,1,4,5,6,7,2]=>[4,3,2,5,6,7,8,1]=>{{1,4,5,6,7,8},{2,3}}=>5
[3,4,6,2,8,5,1,7]=>[8,4,3,1,6,2,5,7]=>{{1,2,4,5,6,7,8},{3}}=>5
[3,5,2,8,4,1,6,7]=>[8,3,1,5,2,4,6,7]=>{{1,2,3,4,5,6,7,8}}=>0
[3,5,6,8,4,1,2,7]=>[8,6,3,5,1,4,2,7]=>{{1,2,4,5,6,7,8},{3}}=>5
[3,6,2,1,7,8,5,4]=>[8,3,1,2,7,6,4,5]=>{{1,2,3,4,5,7,8},{6}}=>2
[3,6,2,1,8,5,4,7]=>[8,3,1,2,6,4,5,7]=>{{1,2,3,4,5,6,7,8}}=>0
[3,6,7,2,8,5,4,1]=>[8,7,3,1,6,2,4,5]=>{{1,2,4,5,6,7,8},{3}}=>5
[3,6,7,8,4,5,1,2]=>[8,7,3,6,1,2,5,4]=>{{1,2,4,5,6,7,8},{3}}=>5
[3,7,2,1,4,8,6,5]=>[8,3,1,2,4,7,5,6]=>{{1,2,3,4,5,6,7,8}}=>0
[3,7,2,1,8,5,6,4]=>[8,3,1,2,7,4,5,6]=>{{1,2,3,4,6,8},{5,7}}=>1
[3,7,2,8,4,5,6,1]=>[8,3,1,7,2,4,5,6]=>{{1,2,3,4,5,6,7,8}}=>0
[3,8,2,1,4,5,6,7]=>[8,3,1,2,4,5,6,7]=>{{1,2,3,4,5,6,7,8}}=>0
[4,1,5,7,3,8,6,2]=>[8,1,5,4,2,7,3,6]=>{{1,2,3,5,6,7,8},{4}}=>4
[4,1,6,3,7,8,5,2]=>[8,1,4,2,7,6,3,5]=>{{1,2,3,4,5,7,8},{6}}=>2
[4,1,6,3,8,5,2,7]=>[8,1,4,2,6,3,5,7]=>{{1,2,3,4,5,6,7,8}}=>0
[4,1,6,7,8,5,2,3]=>[8,1,7,4,6,2,5,3]=>{{1,2,3,5,6,7,8},{4}}=>4
[4,1,7,3,2,8,6,5]=>[8,1,4,2,3,7,5,6]=>{{1,2,3,4,5,6,7,8}}=>0
[4,1,7,8,3,5,6,2]=>[8,1,7,4,2,3,5,6]=>{{1,2,3,5,6,7,8},{4}}=>4
[4,1,8,3,2,5,6,7]=>[8,1,4,2,3,5,6,7]=>{{1,2,3,4,5,6,7,8}}=>0
[4,5,6,3,8,1,2,7]=>[8,6,4,1,5,3,2,7]=>{{1,2,3,4,6,7,8},{5}}=>3
[4,5,6,8,3,1,2,7]=>[8,6,5,4,1,3,2,7]=>{{1,2,3,5,6,7,8},{4}}=>4
[4,5,8,3,2,1,6,7]=>[8,5,4,1,2,3,6,7]=>{{1,3,4,6,7,8},{2,5}}=>3
[4,6,2,3,8,5,1,7]=>[8,4,1,2,6,3,5,7]=>{{1,3,5,6,7,8},{2,4}}=>4
[4,6,7,3,2,8,5,1]=>[8,7,4,1,2,6,3,5]=>{{1,2,3,4,5,7,8},{6}}=>2
[4,6,8,3,2,5,1,7]=>[8,6,4,1,2,3,5,7]=>{{1,2,3,4,5,6,7,8}}=>0
[4,7,2,3,1,8,6,5]=>[8,4,1,2,3,7,5,6]=>{{1,3,5,6,7,8},{2,4}}=>4
[4,8,2,3,1,5,6,7]=>[8,4,1,2,3,5,6,7]=>{{1,3,5,6,7,8},{2,4}}=>4
[5,1,2,6,8,4,3,7]=>[8,1,2,6,5,3,4,7]=>{{1,2,3,4,6,7,8},{5}}=>3
[5,1,2,7,4,8,6,3]=>[8,1,2,5,3,7,4,6]=>{{1,2,3,4,5,6,7,8}}=>0
[5,1,2,8,4,3,6,7]=>[8,1,2,5,3,4,6,7]=>{{1,2,3,4,5,6,7,8}}=>0
[5,1,6,7,8,4,2,3]=>[8,1,7,6,5,2,4,3]=>{{1,2,3,4,6,7,8},{5}}=>3
[5,1,8,3,4,2,6,7]=>[8,1,5,2,3,4,6,7]=>{{1,2,4,6,7,8},{3,5}}=>3
[5,6,2,3,8,4,1,7]=>[8,6,1,2,5,3,4,7]=>{{1,2,3,4,6,7,8},{5}}=>3
[5,7,2,3,4,8,6,1]=>[8,5,1,2,3,7,4,6]=>{{1,2,3,4,5,6,7,8}}=>0
[5,7,8,3,4,2,6,1]=>[8,7,5,1,2,3,4,6]=>{{1,2,3,4,5,6,7,8}}=>0
[5,8,2,3,4,1,6,7]=>[8,5,1,2,3,4,6,7]=>{{1,2,3,4,5,6,7,8}}=>0
[6,1,2,3,8,5,4,7]=>[8,1,2,3,6,4,5,7]=>{{1,2,3,4,5,6,7,8}}=>0
[6,1,2,7,8,5,4,3]=>[8,1,2,7,6,3,4,5]=>{{1,2,3,5,6,8},{4,7}}=>1
[6,1,2,8,4,5,3,7]=>[8,1,2,6,3,4,5,7]=>{{1,2,3,5,7,8},{4,6}}=>2
[6,1,7,3,4,8,5,2]=>[8,1,7,2,3,6,4,5]=>{{1,2,3,4,5,7,8},{6}}=>2
[6,1,7,3,8,5,4,2]=>[8,1,7,2,6,3,4,5]=>{{1,2,3,4,5,6,7,8}}=>0
[6,1,8,3,4,5,2,7]=>[8,1,6,2,3,4,5,7]=>{{1,2,3,4,5,6,7,8}}=>0
[6,7,2,8,4,5,3,1]=>[8,7,1,6,2,3,4,5]=>{{1,2,3,4,5,6,7,8}}=>0
[7,1,2,3,4,8,6,5]=>[8,1,2,3,4,7,5,6]=>{{1,2,3,4,5,6,7,8}}=>0
[7,1,2,8,4,5,6,3]=>[8,1,2,7,3,4,5,6]=>{{1,2,3,4,5,6,7,8}}=>0
[6,4,1,8,2,3,7,5]=>[6,7,2,4,3,5,8,1]=>{{1,2,3,5,6,7,8},{4}}=>4
[5,8,1,2,4,3,7,6]=>[7,5,2,3,1,4,8,6]=>{{1,2,3,4,5,6,7,8}}=>0
[8,2,1,3,7,6,4,5]=>[2,6,1,3,7,8,5,4]=>{{1,2,3,4,6,8},{5,7}}=>1
[8,2,5,1,3,7,4,6]=>[2,5,7,3,4,8,6,1]=>{{1,2,3,4,5,6,7,8}}=>0
[7,8,4,2,5,6,1,3]=>[5,4,6,2,7,8,3,1]=>{{1,3,5,6,7,8},{2,4}}=>4
[8,2,3,6,5,1,7,4]=>[2,3,5,6,7,4,8,1]=>{{1,2,3,5,7,8},{4,6}}=>2
[2,8,7,6,3,4,5,1]=>[6,2,7,8,3,4,1,5]=>{{1,3,4,5,6,7,8},{2}}=>6
[7,2,8,5,4,6,1,3]=>[2,6,5,7,1,8,4,3]=>{{1,2,3,5,6,8},{4,7}}=>1
[8,4,7,2,5,6,3,1]=>[4,6,5,2,7,8,1,3]=>{{1,2,3,4,5,6,7,8}}=>0
[4,8,6,1,5,3,7,2]=>[6,4,5,3,7,1,8,2]=>{{1,6},{2,3,4,5,7,8}}=>0
[3,6,1,8,5,2,7,4]=>[6,3,2,5,7,4,8,1]=>{{1,4,5,6,7,8},{2,3}}=>5
[1,7,5,6,3,4,2,8]=>[1,5,7,6,3,2,4,8]=>{{1},{2,3,4,5,6,7},{8}}=>0
[7,6,3,8,5,2,1,4]=>[3,6,7,5,8,2,4,1]=>{{1,3,4,5,7,8},{2,6}}=>2
[1,5,7,4,2,6,3,8]=>[1,5,4,6,3,7,2,8]=>{{1},{2,3,4,5,6,7},{8}}=>0
[5,2,8,4,1,7,6,3]=>[2,5,4,7,3,8,1,6]=>{{1,2,3,4,5,7},{6,8}}=>0
[8,6,3,4,7,2,5,1]=>[3,4,6,8,7,2,1,5]=>{{1,2,3,4,5,6,7,8}}=>0
[6,8,3,4,5,1,7,2]=>[4,3,5,6,7,2,8,1]=>{{1,2,3,4,5,6,7,8}}=>0
[8,3,2,1,5,4,7,6]=>[3,5,1,2,7,4,8,6]=>{{1,3},{2,4,5,6,7,8}}=>0
[2,5,1,8,4,3,7,6]=>[7,2,1,5,3,4,8,6]=>{{1,3,4,5,6,7,8},{2}}=>6
[6,1,3,4,5,8,2,7]=>[3,1,4,5,8,6,2,7]=>{{1,2,3,4,5,7,8},{6}}=>2
[8,3,4,1,5,2,7,6]=>[3,5,4,2,7,1,8,6]=>{{1,2,3,4,5,6,7,8}}=>0
[1,7,3,2,5,4,8,6]=>[1,3,5,2,8,4,7,6]=>{{1},{2,3,4,5,6,8},{7}}=>1
[8,7,2,1,5,3,4,6]=>[5,7,1,3,8,4,6,2]=>{{1,2,3,4,5,6,7,8}}=>0
[8,3,6,4,5,1,7,2]=>[3,5,4,6,7,2,8,1]=>{{1,2,3,4,5,6,7,8}}=>0
[6,4,7,2,3,5,8,1]=>[6,8,4,2,1,3,7,5]=>{{1,2,3,4,5,6,8},{7}}=>1
[6,8,4,1,3,5,7,2]=>[6,4,7,3,1,2,8,5]=>{{1,2,3,4,5,6,7,8}}=>0
[6,5,1,8,4,7,3,2]=>[6,8,2,5,1,7,3,4]=>{{1,2,3,4,5,6,7,8}}=>0
[5,3,1,8,4,7,6,2]=>[3,7,2,5,1,8,4,6]=>{{1,2,3,4,5,7},{6,8}}=>0
[8,2,7,4,6,1,3,5]=>[2,4,6,7,8,5,3,1]=>{{1,2,3,4,5,6,7,8}}=>0
[7,4,3,6,8,2,5,1]=>[3,4,8,7,6,2,1,5]=>{{1,2,3,4,5,6,7,8}}=>0
[8,5,3,7,4,2,6,1]=>[3,5,8,7,1,2,4,6]=>{{1,2,3,5,6,8},{4,7}}=>1
[5,7,3,2,4,1,8,6]=>[5,3,8,1,2,4,7,6]=>{{1,2,3,4,5,6,8},{7}}=>1
[2,8,3,4,7,1,5,6]=>[3,2,4,7,8,5,6,1]=>{{1,3,4,5,6,7,8},{2}}=>6
[1,7,6,3,2,5,8,4]=>[1,6,8,2,4,3,7,5]=>{{1},{2,3,4,5,6,8},{7}}=>1
[3,8,1,5,6,2,7,4]=>[5,3,2,7,6,4,8,1]=>{{1,4,5,6,7,8},{2,3}}=>5
[8,2,5,6,1,7,4,3]=>[2,5,8,6,4,7,1,3]=>{{1,2,4,5,6,7},{3,8}}=>0
[7,1,5,2,8,6,4,3]=>[6,1,7,3,5,8,2,4]=>{{1,2,3,4,6,7,8},{5}}=>3
[1,8,6,4,5,2,7,3]=>[1,4,5,6,7,3,8,2]=>{{1},{2,3,4,5,6,7,8}}=>0
[3,6,2,1,7,5,8,4]=>[8,3,1,2,6,4,7,5]=>{{1,2,3,4,5,6,8},{7}}=>1
[1,8,2,4,5,6,7,3]=>[1,4,2,5,6,7,8,3]=>{{1},{2,3,4,5,6,7,8}}=>0
[5,1,3,6,4,8,7,2]=>[3,1,7,5,2,6,8,4]=>{{1,2,3,4,5,7,8},{6}}=>2
[5,1,2,6,8,4,7,3]=>[7,1,2,6,5,3,8,4]=>{{1,2,3,4,6,7,8},{5}}=>3
[4,1,2,6,8,5,3,7]=>[8,1,2,4,6,3,5,7]=>{{1,2,3,5,6,7,8},{4}}=>4
[1,2,6,4,8,7,5,3]=>[1,2,4,8,6,7,3,5]=>{{1},{2},{3,4,5,6,7,8}}=>0
[1,5,2,4,8,7,3,6]=>[1,4,2,7,5,8,6,3]=>{{1},{2,3,4,6,7,8},{5}}=>3
[1,2,6,8,5,7,3,4]=>[1,2,6,5,8,7,4,3]=>{{1},{2},{3,4,5,6,7,8}}=>0
[1,6,7,8,2,5,3,4]=>[1,8,7,6,4,2,5,3]=>{{1},{2,3,4,5,6,7,8}}=>0
[1,2,6,8,3,7,5,4]=>[1,2,8,6,4,7,3,5]=>{{1},{2},{3,4,5,6,7,8}}=>0
[1,6,7,3,4,8,5,2]=>[1,8,7,2,3,6,4,5]=>{{1},{2,3,4,5,7,8},{6}}=>2
[1,5,3,7,4,8,6,2]=>[1,3,8,5,2,7,4,6]=>{{1},{2,3,4,5,6,7,8}}=>0
[2,8,4,1,5,3,7,6]=>[4,2,5,3,7,1,8,6]=>{{1,3,4,5,6,7,8},{2}}=>6
[1,2,7,4,8,3,6,5]=>[1,2,4,8,7,5,3,6]=>{{1},{2},{3,4,5,6,7,8}}=>0
[1,5,2,4,8,3,7,6]=>[1,4,2,7,5,3,8,6]=>{{1},{2,3,4,6,7,8},{5}}=>3
[1,8,3,5,2,7,4,6]=>[1,3,5,7,4,8,6,2]=>{{1},{2,3,4,5,6,7,8}}=>0
[2,8,3,5,1,4,7,6]=>[3,2,5,7,4,1,8,6]=>{{1,3,4,5,6,7,8},{2}}=>6
[2,3,8,6,1,4,7,5]=>[6,2,3,7,4,5,8,1]=>{{1,4,5,6,7,8},{2},{3}}=>10
[1,2,5,8,7,3,6,4]=>[1,2,8,5,7,4,3,6]=>{{1},{2},{3,4,5,6,7,8}}=>0
[1,2,6,8,7,3,5,4]=>[1,2,8,6,7,5,3,4]=>{{1},{2},{3,4,5,6,7,8}}=>0
[1,6,7,8,5,2,3,4]=>[1,7,6,5,8,4,3,2]=>{{1},{2,3,4,5,6,7,8}}=>0
[1,2,5,8,7,6,3,4]=>[1,2,7,5,6,8,4,3]=>{{1},{2},{3,4,5,6,7,8}}=>0
[1,2,7,8,6,5,3,4]=>[1,2,7,6,8,3,5,4]=>{{1},{2},{3,4,5,6,7,8}}=>0
[5,1,2,4,8,6,7,3]=>[4,1,2,6,5,7,8,3]=>{{1,2,3,4,6,7,8},{5}}=>3
[5,1,2,4,8,6,3,7]=>[4,1,2,6,5,8,3,7]=>{{1,2,3,4,6,7,8},{5}}=>3
[5,2,4,1,7,8,6,3]=>[2,4,8,3,5,7,1,6]=>{{1,2,3,4,6,7,8},{5}}=>3
[5,1,4,2,8,6,7,3]=>[4,1,6,3,5,7,8,2]=>{{1,2,3,4,6,7,8},{5}}=>3
[3,1,6,2,8,7,5,4]=>[8,1,3,2,6,7,4,5]=>{{1,2,4,5,6,7,8},{3}}=>5
[1,8,3,4,2,5,6,7]=>[1,3,4,8,2,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>0
[1,9,3,2,4,5,6,7,8]=>[1,3,9,2,4,5,6,7,8]=>{{1},{2,3,4,5,6,7,8,9}}=>0
[8,5,7,4,6,3,2,1]=>[4,6,5,8,7,1,2,3]=>{{1,2,3,4,5,6,7,8}}=>0
[8,5,7,3,6,4,2,1]=>[5,8,6,1,7,2,3,4]=>{{1,2,3,4,5,6,7,8}}=>0
[8,1,7,4,6,5,3,2]=>[4,1,6,7,8,2,3,5]=>{{1,2,3,4,6,7},{5,8}}=>0
[8,1,7,3,6,5,4,2]=>[6,1,7,2,8,3,4,5]=>{{1,2,3,4,6,7},{5,8}}=>0
[8,2,7,3,6,5,4,1]=>[2,6,7,1,8,3,4,5]=>{{1,2,3,4,6,7},{5,8}}=>0
[8,3,7,2,6,5,4,1]=>[3,7,6,1,8,2,4,5]=>{{1,2,3,4,6,7},{5,8}}=>0
[8,7,6,2,5,4,3,1]=>[5,6,7,2,8,1,3,4]=>{{1,2,4,5,6,8},{3,7}}=>1
[8,1,7,6,5,3,4,2]=>[5,1,6,7,8,3,2,4]=>{{1,2,4,5,7,8},{3,6}}=>2
[8,3,7,6,5,2,4,1]=>[3,6,5,7,8,2,1,4]=>{{1,3,4,5,7,8},{2,6}}=>2
[8,5,7,6,4,1,3,2]=>[5,8,6,7,1,4,2,3]=>{{1,5},{2,3,4,6,7,8}}=>0
[8,7,6,1,5,2,4,3]=>[5,6,7,3,8,4,1,2]=>{{1,2,3,4,5,6,7,8}}=>0
[6,8,1,4,2,5,3,7]=>[6,4,2,8,3,1,5,7]=>{{1,6},{2,3,4,5,7,8}}=>0
[7,8,3,6,1,4,2,5]=>[6,3,7,8,4,2,5,1]=>{{1,2,3,4,5,6,7,8}}=>0
[7,8,2,5,1,4,3,6]=>[7,5,1,8,4,2,6,3]=>{{1,2,3,4,5,6,7,8}}=>0
[5,8,1,4,3,7,2,6]=>[5,4,2,7,1,8,6,3]=>{{1,5},{2,3,4,6,7,8}}=>0
[6,8,2,5,1,4,3,7]=>[6,5,1,8,4,2,3,7]=>{{1,2,3,4,5,6,7,8}}=>0
[6,8,2,5,3,7,1,4]=>[6,5,1,8,3,7,4,2]=>{{1,2,3,4,5,6,7,8}}=>0
[6,8,2,5,4,7,1,3]=>[6,5,1,8,2,7,4,3]=>{{1,3,4,6,7,8},{2,5}}=>3
[4,8,1,5,3,7,2,6]=>[7,4,2,5,1,8,6,3]=>{{1,2,3,4,5,6,7,8}}=>0
[4,7,5,8,1,3,2,6]=>[8,5,7,4,3,1,6,2]=>{{1,2,3,5,6,7,8},{4}}=>4
[3,7,5,8,1,4,2,6]=>[8,3,7,5,4,1,6,2]=>{{1,2,3,6,7,8},{4,5}}=>3
[3,7,5,8,2,6,1,4]=>[7,3,6,5,2,8,4,1]=>{{1,2,3,4,5,6,7,8}}=>0
[3,7,4,8,1,5,2,6]=>[8,3,7,4,2,1,6,5]=>{{1,2,3,5,6,7,8},{4}}=>4
[7,6,4,2,8,5,3,1]=>[4,7,8,2,6,1,3,5]=>{{1,2,3,4,5,6,7,8}}=>0
[6,8,4,3,7,2,1,5]=>[6,4,8,1,7,3,5,2]=>{{1,2,3,4,6,8},{5,7}}=>1
[6,8,3,7,5,2,4,1]=>[5,3,7,6,8,2,1,4]=>{{1,2,3,4,5,6,7,8}}=>0
[5,8,3,6,7,2,1,4]=>[5,3,8,7,6,2,4,1]=>{{1,2,3,5,6,8},{4,7}}=>1
[6,3,4,8,7,2,5,1]=>[3,8,6,4,7,2,1,5]=>{{1,2,3,5,6,7,8},{4}}=>4
[6,3,5,7,8,4,2,1]=>[3,8,7,6,5,1,2,4]=>{{1,2,3,4,6,7,8},{5}}=>3
[5,6,7,3,4,1,8,2]=>[8,6,5,1,2,4,7,3]=>{{1,2,3,4,5,6,8},{7}}=>1
[4,6,8,3,5,7,2,1]=>[6,5,4,1,8,7,2,3]=>{{1,2,3,4,5,6,7,8}}=>0
[5,3,8,2,4,1,6,7]=>[5,8,3,1,2,4,6,7]=>{{1,2,4,5,6,7,8},{3}}=>5
[4,8,3,6,2,5,7,1]=>[4,3,7,6,1,2,8,5]=>{{1,2,3,4,5,6,7,8}}=>0
[4,7,8,3,6,2,5,1]=>[7,6,4,1,8,3,2,5]=>{{1,2,3,4,6,7},{5,8}}=>0
[4,8,3,6,7,2,5,1]=>[4,3,8,6,7,2,1,5]=>{{1,2,3,4,5,6,7,8}}=>0
[5,3,8,2,4,1,7,6]=>[5,7,3,1,2,4,8,6]=>{{1,2,4,5,6,7,8},{3}}=>5
[5,2,8,4,1,7,3,6]=>[2,5,4,7,3,8,6,1]=>{{1,2,3,4,5,6,7,8}}=>0
[5,7,3,4,8,2,1,6]=>[4,3,7,8,5,1,6,2]=>{{1,2,3,4,6,7,8},{5}}=>3
[6,4,8,5,3,7,2,1]=>[5,8,4,6,1,7,2,3]=>{{1,5},{2,3,4,6,7,8}}=>0
[5,6,3,4,8,2,1,7]=>[4,3,6,8,5,1,2,7]=>{{1,2,3,4,6,7,8},{5}}=>3
[6,3,5,7,4,8,2,1]=>[3,8,7,5,1,6,2,4]=>{{1,2,3,4,5,7,8},{6}}=>2
[4,5,7,8,3,6,2,1]=>[7,6,5,4,1,8,2,3]=>{{1,2,3,5,6,7,8},{4}}=>4
[4,5,8,3,7,2,6,1]=>[8,5,4,1,7,2,3,6]=>{{1,2,3,4,5,6,7,8}}=>0
[5,3,6,8,2,1,4,7]=>[6,8,3,5,2,4,1,7]=>{{1,2,4,5,6,7,8},{3}}=>5
[1,7,2,3,6,4,8,5]=>[1,6,2,3,8,5,7,4]=>{{1},{2,3,4,5,6,8},{7}}=>1
[1,8,2,5,3,4,7,6]=>[1,5,2,7,4,3,8,6]=>{{1},{2,3,4,5,6,7,8}}=>0
[1,8,2,3,6,4,7,5]=>[1,6,2,3,7,5,8,4]=>{{1},{2,3,4,5,6,7,8}}=>0
[1,6,8,2,3,5,4,7]=>[1,8,6,3,4,2,5,7]=>{{1},{2,3,4,5,6,7,8}}=>0
[7,1,4,5,8,2,3,6]=>[4,1,8,7,5,3,6,2]=>{{1,2,3,4,6,7,8},{5}}=>3
[7,4,1,6,2,8,3,5]=>[4,8,2,7,3,6,5,1]=>{{1,2,3,4,5,7,8},{6}}=>2
[8,3,6,1,2,4,7,5]=>[3,7,6,2,4,5,8,1]=>{{1,2,3,4,5,6,7,8}}=>0
[7,3,6,1,2,4,8,5]=>[3,8,6,2,4,5,7,1]=>{{1,2,3,4,5,6,8},{7}}=>1
[6,7,1,8,4,2,3,5]=>[8,7,2,6,1,5,4,3]=>{{1,2,3,4,5,6,7,8}}=>0
[6,8,1,7,4,2,3,5]=>[8,6,2,7,1,5,4,3]=>{{1,2,3,5,6,8},{4,7}}=>1
[2,1,7,8,5,3,4,6]=>[2,1,7,5,8,4,6,3]=>{{1,2},{3,4,5,6,7,8}}=>0
[6,1,2,3,8,7,5,4]=>[8,1,2,3,6,7,4,5]=>{{1,2,3,4,5,6,7,8}}=>0
[6,8,1,4,2,3,7,5]=>[6,4,2,7,3,5,8,1]=>{{1,2,3,4,5,6,7,8}}=>0
[6,8,3,1,2,7,4,5]=>[6,3,8,2,4,7,5,1]=>{{1,2,3,4,5,6,7,8}}=>0
[7,2,1,5,8,3,4,6]=>[2,7,1,8,5,4,6,3]=>{{1,2,3,4,6,7,8},{5}}=>3
[5,7,1,6,8,4,3,2]=>[8,6,2,7,5,1,3,4]=>{{1,2,3,4,6,7,8},{5}}=>3
[8,3,6,4,7,2,5,1]=>[3,6,4,8,7,2,1,5]=>{{1,3,4,5,7,8},{2,6}}=>2
[1,7,8,4,6,2,5,3]=>[1,6,4,7,8,5,2,3]=>{{1},{2,3,4,5,6,7,8}}=>0
[8,2,6,7,5,4,3,1]=>[2,5,7,6,8,1,3,4]=>{{1,2,4,5,6,8},{3,7}}=>1
[3,4,2,7,8,1,6,5]=>[8,3,1,4,7,5,2,6]=>{{1,2,3,5,6,7,8},{4}}=>4
[6,5,8,7,1,4,2,3]=>[7,8,5,6,4,1,3,2]=>{{1,3,4,5,6,7},{2,8}}=>0
[4,1,7,3,8,5,2,6]=>[8,1,4,2,7,3,6,5]=>{{1,2,3,4,5,6,7,8}}=>0
[6,1,7,3,5,4,8,2]=>[6,1,5,2,8,3,7,4]=>{{1,2,3,4,5,6,8},{7}}=>1
[6,3,1,2,5,8,4,7]=>[3,5,2,1,8,6,4,7]=>{{1,2,3,4,5,7,8},{6}}=>2
[5,6,8,7,2,4,1,3]=>[8,7,5,6,3,1,4,2]=>{{1,2,4,6,7,8},{3,5}}=>3
[1,7,3,2,4,8,5,6]=>[1,3,8,2,4,7,6,5]=>{{1},{2,3,4,5,8},{6,7}}=>1
[3,6,4,5,2,8,7,1]=>[7,3,4,5,1,6,8,2]=>{{1,2,3,4,5,7,8},{6}}=>2
[5,3,8,6,1,2,4,7]=>[5,8,3,6,4,2,1,7]=>{{1,2,4,5,6,7,8},{3}}=>5
[4,8,7,3,5,2,6,1]=>[7,4,5,1,8,2,3,6]=>{{1,2,3,4,5,6,7,8}}=>0
[6,3,5,4,8,7,2,1]=>[3,6,4,8,5,7,1,2]=>{{1,2,3,4,6,7,8},{5}}=>3
[7,5,2,6,8,1,4,3]=>[6,8,1,7,5,4,2,3]=>{{1,2,3,4,6,7,8},{5}}=>3
[8,5,2,7,1,4,3,6]=>[5,8,1,7,4,2,6,3]=>{{1,2,3,4,5,6,7,8}}=>0
[5,1,7,2,4,3,8,6]=>[8,1,5,3,2,4,7,6]=>{{1,2,3,4,5,6,8},{7}}=>1
[1,5,3,4,8,6,2,7]=>[1,3,4,6,5,8,2,7]=>{{1},{2,3,4,6,7,8},{5}}=>3
[8,2,1,3,5,6,7,4]=>[2,5,1,3,6,7,8,4]=>{{1,2,3,4,5,6,7,8}}=>0
[6,3,1,4,7,5,8,2]=>[3,4,2,8,6,1,7,5]=>{{1,2,3,4,5,6,8},{7}}=>1
[3,1,7,2,8,5,4,6]=>[8,1,3,2,7,4,6,5]=>{{1,2,4,5,6,7,8},{3}}=>5
[1,5,8,4,7,2,3,6]=>[1,5,4,8,7,3,6,2]=>{{1},{2,3,4,5,6,7,8}}=>0
[7,1,3,6,2,8,4,5]=>[3,1,7,8,4,6,5,2]=>{{1,2,3,4,5,7,8},{6}}=>2
[2,1,8,4,5,7,3,6]=>[2,1,4,5,7,8,6,3]=>{{1,2},{3,4,5,6,7,8}}=>0
[4,7,5,6,8,1,3,2]=>[8,4,7,6,5,3,1,2]=>{{1,2,3,4,6,7,8},{5}}=>3
[7,1,3,2,8,5,4,6]=>[3,1,8,2,7,4,6,5]=>{{1,2,3,4,5,6,7,8}}=>0
[5,1,7,4,2,3,8,6]=>[5,1,4,8,3,2,7,6]=>{{1,2,3,4,5,6,8},{7}}=>1
[3,8,6,5,1,4,2,7]=>[6,3,5,8,4,1,2,7]=>{{1,6},{2,3,4,5,7,8}}=>0
[7,2,8,5,3,6,4,1]=>[2,6,5,7,3,8,1,4]=>{{1,2,4,6,7,8},{3,5}}=>3
[8,4,7,5,2,3,6,1]=>[4,8,5,7,2,1,3,6]=>{{1,2,3,4,5,6,7,8}}=>0
[5,2,6,8,3,4,7,1]=>[2,7,6,5,3,1,8,4]=>{{1,2,3,4,5,6,7,8}}=>0
[7,6,2,4,5,8,3,1]=>[4,5,1,7,8,6,2,3]=>{{1,2,3,4,5,7,8},{6}}=>2
[3,6,8,4,7,2,5,1]=>[6,4,3,8,7,2,1,5]=>{{1,2,4,5,6,7,8},{3}}=>5
[1,6,8,3,2,7,4,5]=>[1,8,6,2,4,7,5,3]=>{{1},{2,3,4,5,6,7,8}}=>0
[5,4,8,3,6,2,7,1]=>[5,7,4,1,6,2,8,3]=>{{1,2,3,4,5,6,7,8}}=>0
[1,5,6,4,8,2,7,3]=>[1,6,4,7,5,3,8,2]=>{{1},{2,3,4,6,7,8},{5}}=>3
[1,4,6,3,5,7,8,2]=>[1,5,4,2,8,6,7,3]=>{{1},{2,3,4,5,8},{6},{7}}=>2
[1,2,5,8,4,7,3,6]=>[1,2,7,5,3,8,6,4]=>{{1},{2},{3,4,5,6,7,8}}=>0
[1,3,6,8,5,2,7,4]=>[1,6,3,5,7,4,8,2]=>{{1},{2,4,5,6,7,8},{3}}=>5
[1,3,6,8,5,2,4,7]=>[1,6,3,5,8,4,2,7]=>{{1},{2,4,5,6,7,8},{3}}=>5
[1,2,5,8,4,3,7,6]=>[1,2,7,5,3,4,8,6]=>{{1},{2},{3,4,5,6,7,8}}=>0
[1,4,6,8,3,2,5,7]=>[1,8,6,4,2,5,3,7]=>{{1},{2,3,5,6,7,8},{4}}=>4
[4,2,6,1,8,7,5,3]=>[2,8,4,3,6,7,1,5]=>{{1,2,5,6,7,8},{3,4}}=>4
[2,4,7,6,8,3,5,1]=>[8,2,4,7,6,3,1,5]=>{{1,3,4,5,6,7,8},{2}}=>6
[1,3,6,8,2,5,7,4]=>[1,7,3,6,4,2,8,5]=>{{1},{2,4,5,6,7,8},{3}}=>5
[1,2,5,8,7,4,3,6]=>[1,2,8,5,7,3,6,4]=>{{1},{2},{3,4,5,6,7,8}}=>0
[3,1,7,6,8,5,4,2]=>[7,1,3,8,6,2,4,5]=>{{1,2,4,5,6,7,8},{3}}=>5
[5,3,1,2,8,4,7,6]=>[3,7,2,1,5,4,8,6]=>{{1,2,3,4,6,7,8},{5}}=>3
[6,5,2,3,7,1,4,8]=>[6,7,1,2,5,4,3,8]=>{{1,2,3,4,6,7},{5},{8}}=>2
[7,3,1,2,8,4,6,5]=>[3,8,2,1,7,5,4,6]=>{{1,2,3,4,5,6,7,8}}=>0
[6,4,1,3,8,5,7,2]=>[4,7,2,1,6,3,8,5]=>{{1,4},{2,3,5,6,7,8}}=>0
[6,2,3,1,8,4,7,5]=>[2,3,7,1,6,5,8,4]=>{{1,2,3,4,7,8},{5,6}}=>2
[8,2,7,3,4,5,6,1]=>[2,7,8,1,3,4,5,6]=>{{1,2,3,4,5,6,7,8}}=>0
[8,1,6,2,3,4,5,7]=>[6,1,8,3,4,5,2,7]=>{{1,2,3,4,5,6,7,8}}=>0
[8,1,7,3,4,5,6,2]=>[7,1,8,2,3,4,5,6]=>{{1,2,3,4,5,6,7,8}}=>0
[8,6,1,7,2,4,5,3]=>[6,8,2,7,4,3,1,5]=>{{1,2,3,4,5,6,7,8}}=>0
[7,3,8,2,4,5,6,1]=>[7,8,3,1,2,4,5,6]=>{{1,2,4,5,6,7,8},{3}}=>5
[1,4,5,8,3,6,7,2]=>[1,6,5,4,2,7,8,3]=>{{1},{2,3,5,6,7,8},{4}}=>4
[4,7,1,3,8,5,6,2]=>[8,4,2,1,7,3,5,6]=>{{1,2,3,4,6,8},{5,7}}=>1
[6,4,5,8,7,1,2,3]=>[5,8,7,4,6,3,2,1]=>{{1,2,3,5,6,7,8},{4}}=>4
[1,8,3,7,2,4,5,6]=>[1,3,7,8,4,5,6,2]=>{{1},{2,3,4,5,6,7,8}}=>0
[6,8,2,3,5,1,4,7]=>[6,5,1,2,8,4,3,7]=>{{1,2,3,4,5,6,7,8}}=>0
[4,7,8,2,6,1,3,5]=>[7,6,4,2,8,5,3,1]=>{{1,2,3,4,5,6,7,8}}=>0
[6,2,8,7,1,4,5,3]=>[2,8,6,7,4,3,1,5]=>{{1,2,4,5,7,8},{3,6}}=>2
[3,8,7,1,4,5,6,2]=>[8,3,7,2,1,4,5,6]=>{{1,2,3,4,5,6,7,8}}=>0
[2,8,6,1,3,4,5,7]=>[6,2,8,3,4,5,1,7]=>{{1,3,4,5,6,7,8},{2}}=>6
[2,8,7,3,4,5,6,1]=>[7,2,8,1,3,4,5,6]=>{{1,3,4,5,6,7,8},{2}}=>6
[7,8,3,6,2,4,5,1]=>[6,3,7,8,2,4,1,5]=>{{1,2,3,4,5,6,7,8}}=>0
[1,5,8,7,2,3,6,4]=>[1,8,5,7,4,3,2,6]=>{{1},{2,3,4,5,6,7,8}}=>0
[8,7,6,1,3,4,5,2]=>[6,7,8,3,2,4,1,5]=>{{1,2,3,4,5,6,7,8}}=>0
[2,1,6,4,8,5,3,7]=>[2,1,4,8,6,3,5,7]=>{{1,2},{3,4,5,6,7,8}}=>0
[4,1,8,5,3,2,7,6]=>[7,1,4,5,2,3,8,6]=>{{1,2,3,4,5,6,7,8}}=>0
[3,6,2,5,7,1,4,8]=>[6,3,1,7,5,4,2,8]=>{{1,2,3,4,6,7},{5},{8}}=>2
[6,1,3,2,8,5,4,7]=>[3,1,8,2,6,4,5,7]=>{{1,2,3,4,5,6,7,8}}=>0
[5,6,1,2,8,4,3,7]=>[8,6,2,3,5,1,4,7]=>{{1,2,3,4,6,7,8},{5}}=>3
[6,5,7,2,4,8,1,3]=>[7,8,5,2,1,6,4,3]=>{{1,2,3,4,5,7,8},{6}}=>2
[3,7,5,2,1,4,6,8]=>[7,3,5,1,4,2,6,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[6,4,8,5,7,1,2,3]=>[5,8,4,7,6,3,2,1]=>{{1,2,3,4,5,6,7,8}}=>0
[1,4,8,3,7,6,5,2]=>[1,6,4,2,7,8,3,5]=>{{1},{2,3,4,5,6,7,8}}=>0
[3,8,4,2,7,1,5,6]=>[7,3,4,1,8,5,6,2]=>{{1,2,3,4,5,6,7,8}}=>0
[3,7,2,6,8,5,1,4]=>[7,3,1,8,6,2,5,4]=>{{1,2,3,5,6,7},{4,8}}=>0
[1,7,8,5,4,3,6,2]=>[1,7,5,8,2,3,4,6]=>{{1},{2,3,4,5,6,7,8}}=>0
[7,8,5,4,3,1,6,2]=>[5,4,7,8,1,3,2,6]=>{{1,5},{2,3,4,6,7,8}}=>0
[8,6,5,4,7,1,3,2]=>[4,5,7,8,6,3,1,2]=>{{1,2,3,4,5,6,7,8}}=>0
[8,3,6,1,7,2,4,5]=>[3,8,6,2,7,5,4,1]=>{{1,2,3,4,5,6,7,8}}=>0
[1,7,5,3,6,8,4,2]=>[1,5,8,2,7,6,3,4]=>{{1},{2,3,4,5,7,8},{6}}=>2
[3,7,2,6,5,4,1,8]=>[5,3,1,6,7,2,4,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[8,7,2,5,1,6,4,3]=>[5,6,1,7,4,8,2,3]=>{{1,2,3,4,5,6,7,8}}=>0
[3,8,2,6,5,1,7,4]=>[5,3,1,6,7,4,8,2]=>{{1,2,3,5,7,8},{4,6}}=>2
[7,1,8,2,6,5,4,3]=>[7,1,6,3,8,2,4,5]=>{{1,2,3,4,6,7},{5,8}}=>0
[7,2,8,1,6,5,4,3]=>[2,7,6,3,8,1,4,5]=>{{1,2,3,4,6,7},{5,8}}=>0
[3,4,8,6,5,1,7,2]=>[6,4,3,5,7,2,8,1]=>{{1,2,4,5,6,7,8},{3}}=>5
[1,4,8,6,2,7,5,3]=>[1,8,4,6,3,7,2,5]=>{{1},{2,3,4,5,6,7,8}}=>0
[7,6,1,2,8,5,4,3]=>[7,8,2,3,6,1,4,5]=>{{1,2,3,4,5,6,7,8}}=>0
[8,6,1,2,7,5,4,3]=>[6,8,2,3,7,1,4,5]=>{{1,6},{2,3,4,5,7,8}}=>0
[7,8,1,2,6,5,4,3]=>[7,6,2,3,8,1,4,5]=>{{1,2,3,4,6,7},{5,8}}=>0
[4,1,5,3,8,2,7,6]=>[7,1,4,2,5,3,8,6]=>{{1,2,3,4,6,7,8},{5}}=>3
[7,3,6,4,2,8,1,5]=>[3,7,4,8,1,6,5,2]=>{{1,2,3,4,5,7,8},{6}}=>2
[5,4,1,7,2,6,3,8]=>[5,6,2,4,3,7,1,8]=>{{1,2,3,5,6,7},{4},{8}}=>3
[4,6,3,1,8,2,7,5]=>[4,3,7,2,6,5,8,1]=>{{1,2,3,4,7,8},{5,6}}=>2
[7,5,2,6,4,3,1,8]=>[5,7,1,6,2,3,4,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[8,6,1,7,4,5,2,3]=>[6,8,2,7,1,3,5,4]=>{{1,2,3,4,5,6,7,8}}=>0
[1,7,6,8,3,2,4,5]=>[1,7,8,6,3,5,4,2]=>{{1},{2,3,4,5,6,7,8}}=>0
[7,3,8,4,5,2,6,1]=>[4,5,3,7,8,1,2,6]=>{{1,2,4,5,6,7,8},{3}}=>5
[3,1,5,8,4,2,6,7]=>[8,1,3,5,2,4,6,7]=>{{1,2,4,5,6,7,8},{3}}=>5
[5,8,3,2,6,4,1,7]=>[5,3,8,1,6,2,4,7]=>{{1,2,3,4,5,6,7,8}}=>0
[6,8,2,4,7,5,1,3]=>[6,4,1,8,7,2,5,3]=>{{1,2,3,4,6,8},{5,7}}=>1
[7,2,8,6,3,5,1,4]=>[2,7,6,8,3,1,5,4]=>{{1,2,3,5,6,7},{4,8}}=>0
[6,8,1,7,2,5,4,3]=>[8,6,2,7,4,1,3,5]=>{{1,2,3,4,5,6,7,8}}=>0
[3,8,7,4,5,6,1,2]=>[5,3,4,6,7,8,2,1]=>{{1,2,3,4,5,6,7,8}}=>0
[1,7,6,5,2,4,3,8]=>[1,5,6,7,4,2,3,8]=>{{1},{2,3,4,5,6,7},{8}}=>0
[1,8,6,5,3,2,4,7]=>[1,5,6,8,3,4,2,7]=>{{1},{2,3,4,5,6,7,8}}=>0
[3,8,7,4,6,2,5,1]=>[6,3,4,7,8,2,1,5]=>{{1,2,3,4,6,7},{5,8}}=>0
[7,1,8,6,5,2,3,4]=>[6,1,5,7,8,4,3,2]=>{{1,2,3,4,5,6,7,8}}=>0
[8,4,7,5,3,2,1,6]=>[4,8,5,7,1,2,6,3]=>{{1,2,3,4,5,6,7,8}}=>0
[8,7,2,5,4,3,1,6]=>[5,7,1,8,2,3,6,4]=>{{1,2,3,5,6,7},{4,8}}=>0
[1,5,7,8,4,3,6,2]=>[1,8,7,5,2,3,4,6]=>{{1},{2,3,4,5,6,7,8}}=>0
[6,3,8,1,5,4,7,2]=>[5,6,3,2,7,1,8,4]=>{{1,2,4,5,6,7,8},{3}}=>5
[2,5,4,7,1,8,6,3]=>[5,2,8,4,3,7,1,6]=>{{1,3,5,6,7,8},{2},{4}}=>9
[6,5,4,8,2,1,7,3]=>[5,6,7,4,2,3,8,1]=>{{1,2,3,5,6,7,8},{4}}=>4
[2,1,7,3,8,4,6,5]=>[2,1,8,3,7,5,4,6]=>{{1,2},{3,4,5,6,7,8}}=>0
[7,1,3,2,8,4,6,5]=>[3,1,8,2,7,5,4,6]=>{{1,2,3,4,5,6,7,8}}=>0
[8,1,7,2,5,3,6,4]=>[5,1,7,3,8,4,2,6]=>{{1,2,3,4,5,6,7,8}}=>0
[5,1,7,2,8,3,6,4]=>[8,1,7,3,5,4,2,6]=>{{1,2,3,4,6,7,8},{5}}=>3
[5,1,8,2,7,3,6,4]=>[8,1,5,3,7,4,2,6]=>{{1,2,3,4,5,6,7,8}}=>0
[5,1,8,2,4,3,7,6]=>[7,1,5,3,2,4,8,6]=>{{1,2,3,4,5,6,7,8}}=>0
[6,1,8,2,4,3,7,5]=>[7,1,6,3,2,5,8,4]=>{{1,2,3,4,5,6,7,8}}=>0
[6,1,7,2,8,3,5,4]=>[8,1,7,3,6,5,2,4]=>{{1,2,3,4,7,8},{5,6}}=>2
[6,1,7,2,5,3,8,4]=>[6,1,5,3,8,4,7,2]=>{{1,2,3,4,5,6,8},{7}}=>1
[6,1,7,2,4,3,8,5]=>[8,1,6,3,2,5,7,4]=>{{1,2,3,4,5,6,8},{7}}=>1
[1,8,4,2,5,3,7,6]=>[1,4,5,3,7,2,8,6]=>{{1},{2,3,4,5,6,7,8}}=>0
[7,4,8,2,1,3,5,6]=>[7,8,4,2,3,5,6,1]=>{{1,2,3,4,5,6,7,8}}=>0
[4,1,7,3,2,5,6,8]=>[7,1,4,2,3,5,6,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[7,5,4,8,2,3,6,1]=>[5,7,8,4,2,1,3,6]=>{{1,2,3,5,6,7,8},{4}}=>4
[7,3,8,1,5,6,2,4]=>[5,6,3,2,7,8,4,1]=>{{1,2,4,5,6,7,8},{3}}=>5
[4,1,6,3,2,5,8,7]=>[6,1,4,2,3,5,8,7]=>{{1,2,3,4,5,6},{7,8}}=>0
[6,3,2,8,5,7,1,4]=>[3,6,1,5,8,7,4,2]=>{{1,3},{2,4,5,6,7,8}}=>0
[7,6,3,8,5,4,1,2]=>[3,6,7,5,8,1,4,2]=>{{1,2,3,4,5,6,7,8}}=>0
[5,4,8,2,1,7,3,6]=>[5,7,4,2,3,8,6,1]=>{{1,2,3,4,5,6,7,8}}=>0
[6,4,2,8,5,1,3,7]=>[5,6,1,4,8,3,2,7]=>{{1,2,3,5,6,7,8},{4}}=>4
[6,3,1,7,8,5,2,4]=>[3,8,2,7,6,1,5,4]=>{{1,2,3,4,5,6,7,8}}=>0
[7,8,3,1,2,5,6,4]=>[7,3,8,2,4,1,5,6]=>{{1,2,3,4,5,6,7,8}}=>0
[5,2,1,8,3,6,4,7]=>[2,6,1,5,4,8,3,7]=>{{1,2,3,6,7,8},{4,5}}=>3
[7,6,5,8,2,1,4,3]=>[6,7,8,5,3,4,1,2]=>{{1,2,3,4,5,6,7,8}}=>0
[7,6,8,5,2,1,4,3]=>[6,7,5,8,3,4,1,2]=>{{1,2,4,6,7,8},{3,5}}=>3
[7,8,6,3,2,1,5,4]=>[7,6,8,1,3,5,2,4]=>{{1,2,3,4,5,6,7,8}}=>0
[8,7,4,3,2,1,6,5]=>[4,7,8,1,2,5,3,6]=>{{1,4},{2,3,5,6,7,8}}=>0
[4,6,7,2,5,1,3,8]=>[6,5,4,2,7,3,1,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[7,8,1,3,2,4,5,6]=>[8,7,2,1,4,5,6,3]=>{{1,2,3,4,5,6,7,8}}=>0
[6,2,7,3,1,4,5,8]=>[2,7,6,1,4,5,3,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[1,6,7,3,2,4,5,8]=>[1,7,6,2,4,5,3,8]=>{{1},{2,3,4,5,6,7},{8}}=>0
[6,1,7,3,2,4,5,8]=>[7,1,6,2,4,5,3,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[7,3,5,4,2,1,6,8]=>[3,5,4,7,1,2,6,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[7,3,5,2,4,1,6,8]=>[3,7,5,1,2,4,6,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[7,3,4,1,5,6,2,8]=>[3,5,4,2,6,7,1,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[7,6,5,4,1,3,2,8]=>[4,5,6,7,3,1,2,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[7,3,4,1,5,2,6,8]=>[3,5,4,2,7,1,6,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[6,3,4,5,8,1,7,2]=>[3,7,4,6,5,2,8,1]=>{{1,2,3,4,6,7,8},{5}}=>3
[3,7,5,4,6,8,1,2]=>[5,3,4,8,7,6,2,1]=>{{1,2,3,4,5,7,8},{6}}=>2
[7,1,5,2,6,8,3,4]=>[5,1,8,3,7,6,4,2]=>{{1,2,3,4,5,7,8},{6}}=>2
[1,7,4,6,5,8,3,2]=>[1,4,7,5,8,6,2,3]=>{{1},{2,3,4,5,7,8},{6}}=>2
[7,3,4,5,8,6,2,1]=>[3,7,4,6,5,8,1,2]=>{{1,2,3,4,6,7,8},{5}}=>3
[6,3,4,5,8,1,2,7]=>[3,8,4,6,5,2,1,7]=>{{1,2,3,4,6,7,8},{5}}=>3
[7,3,4,5,8,2,6,1]=>[3,8,4,7,5,1,2,6]=>{{1,2,3,4,6,7,8},{5}}=>3
[4,7,6,1,8,2,5,3]=>[8,4,7,3,6,5,1,2]=>{{1,2,3,4,7,8},{5,6}}=>2
[4,8,6,1,7,5,2,3]=>[8,4,6,3,7,1,5,2]=>{{1,2,3,4,6,8},{5,7}}=>1
[4,7,8,2,6,1,5,3]=>[7,6,4,2,8,5,1,3]=>{{1,7},{2,3,4,5,6,8}}=>0
[7,4,8,3,6,1,5,2]=>[6,7,4,1,8,5,2,3]=>{{1,3,4,5,6,8},{2,7}}=>1
[7,8,4,3,6,2,5,1]=>[6,4,7,1,8,3,2,5]=>{{1,2,3,4,6,7},{5,8}}=>0
[2,1,7,3,5,8,6,4]=>[2,1,5,3,8,7,4,6]=>{{1,2},{3,4,5,6,7,8}}=>0
[4,2,1,8,3,6,7,5]=>[2,6,1,4,3,7,8,5]=>{{1,2,3,5,6,7,8},{4}}=>4
[6,2,1,7,3,5,8,4]=>[2,8,1,6,4,3,7,5]=>{{1,2,3,4,5,6,8},{7}}=>1
[2,6,1,8,3,5,7,4]=>[7,2,1,6,4,3,8,5]=>{{1,3,4,5,6,7,8},{2}}=>6
[2,1,8,3,5,7,4,6]=>[2,1,5,3,7,8,6,4]=>{{1,2},{3,4,5,6,7,8}}=>0
[3,8,4,7,5,1,6,2]=>[7,3,4,5,8,2,1,6]=>{{1,7},{2,3,4,5,6,8}}=>0
[8,4,3,6,1,7,5,2]=>[3,4,8,6,2,7,1,5]=>{{1,2,3,4,5,6,7,8}}=>0
[2,6,1,8,3,5,4,7]=>[8,2,1,6,4,3,5,7]=>{{1,3,4,5,6,7,8},{2}}=>6
[8,2,4,1,7,5,3,6]=>[2,4,7,3,8,1,6,5]=>{{1,2,3,4,6,7},{5,8}}=>0
[5,8,6,3,1,7,4,2]=>[8,5,6,1,4,7,2,3]=>{{1,2,3,4,5,6,7,8}}=>0
[6,2,1,7,8,3,5,4]=>[2,8,1,7,6,5,3,4]=>{{1,2,3,4,7,8},{5,6}}=>2
[2,1,8,3,6,4,5,7]=>[2,1,6,3,8,5,4,7]=>{{1,2},{3,4,5,6,7,8}}=>0
[2,1,8,3,7,4,5,6]=>[2,1,7,3,8,5,6,4]=>{{1,2},{3,4,5,6,7,8}}=>0
[4,3,8,5,6,1,7,2]=>[4,7,3,5,6,2,8,1]=>{{1,2,4,5,6,7,8},{3}}=>5
[1,2,6,8,4,7,3,5]=>[1,2,8,6,3,7,5,4]=>{{1},{2},{3,4,5,6,7,8}}=>0
[5,3,8,4,7,6,1,2]=>[4,5,3,7,6,8,2,1]=>{{1,2,4,5,6,7,8},{3}}=>5
[1,2,8,4,3,5,7,6]=>[1,2,4,7,3,5,8,6]=>{{1},{2},{3,4,5,6,7,8}}=>0
[1,2,6,3,8,5,4,7]=>[1,2,8,3,6,4,5,7]=>{{1},{2},{3,4,5,6,7,8}}=>0
[1,2,7,3,8,5,4,6]=>[1,2,8,3,7,4,6,5]=>{{1},{2},{3,4,5,6,7,8}}=>0
[4,1,2,7,8,6,3,5]=>[7,1,2,4,6,8,5,3]=>{{1,2,3,5,6,7,8},{4}}=>4
[1,6,2,8,4,3,5,7]=>[1,8,2,6,3,5,4,7]=>{{1},{2,3,4,5,6,7,8}}=>0
[3,1,7,8,6,2,4,5]=>[7,1,3,6,8,5,4,2]=>{{1,2,4,5,6,7,8},{3}}=>5
[1,2,8,4,3,7,5,6]=>[1,2,4,7,3,8,6,5]=>{{1},{2},{3,4,5,6,7,8}}=>0
[3,7,4,8,6,5,1,2]=>[7,3,6,4,8,1,5,2]=>{{1,2,3,5,6,7,8},{4}}=>4
[2,8,7,6,5,1,4,3]=>[5,2,6,7,8,4,1,3]=>{{1,3,4,5,6,7,8},{2}}=>6
[7,3,1,2,4,6,5,8]=>[3,6,2,1,4,7,5,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[3,6,2,1,4,8,5,7]=>[8,3,1,2,4,6,5,7]=>{{1,2,3,4,5,7,8},{6}}=>2
[1,8,2,7,4,3,6,5]=>[1,7,2,8,3,5,4,6]=>{{1},{2,3,4,5,6,7,8}}=>0
[6,5,8,2,3,7,1,4]=>[6,8,5,2,3,7,4,1]=>{{1,2,4,6,7,8},{3,5}}=>3
[3,6,7,8,1,4,5,2]=>[8,7,3,6,4,2,1,5]=>{{1,2,4,5,6,7,8},{3}}=>5
[3,6,2,8,1,5,4,7]=>[8,3,1,6,4,2,5,7]=>{{1,2,3,4,5,6,7,8}}=>0
[2,3,6,8,5,1,4,7]=>[6,2,3,5,8,4,1,7]=>{{1,4,5,6,7,8},{2},{3}}=>10
[7,3,5,8,4,6,1,2]=>[3,7,6,5,1,8,4,2]=>{{1,2,3,4,5,6,7,8}}=>0
[1,8,4,2,3,5,7,6]=>[1,4,7,3,2,5,8,6]=>{{1},{2,3,4,5,6,7,8}}=>0
[8,4,6,2,7,5,3,1]=>[4,8,6,2,7,1,3,5]=>{{1,2,3,4,5,6,7,8}}=>0
[8,5,6,7,2,4,3,1]=>[5,8,7,6,3,1,2,4]=>{{1,2,3,4,5,6,7,8}}=>0
[6,5,7,8,4,1,3,2]=>[7,8,6,5,1,4,2,3]=>{{1,2,3,4,5,6,7,8}}=>0
[7,4,6,2,8,5,1,3]=>[4,8,7,2,6,1,5,3]=>{{1,2,3,4,5,6,7,8}}=>0
[3,5,6,8,2,4,1,7]=>[8,6,3,5,2,1,4,7]=>{{1,2,4,5,6,7,8},{3}}=>5
[2,6,7,8,1,4,5,3]=>[8,2,7,6,4,3,1,5]=>{{1,3,4,5,6,7,8},{2}}=>6
[6,4,7,3,8,1,5,2]=>[7,8,4,1,6,5,2,3]=>{{1,2,3,4,7,8},{5,6}}=>2
[5,4,6,3,8,2,1,7]=>[6,8,4,1,5,2,3,7]=>{{1,2,3,4,6,7,8},{5}}=>3
[5,4,7,3,8,1,6,2]=>[7,8,4,1,5,3,2,6]=>{{1,2,3,4,6,7,8},{5}}=>3
[2,5,7,8,3,1,6,4]=>[8,2,7,5,3,4,1,6]=>{{1,3,4,5,6,7,8},{2}}=>6
[4,5,6,8,2,3,1,7]=>[8,6,5,4,2,1,3,7]=>{{1,2,3,5,6,7,8},{4}}=>4
[4,6,7,8,1,3,5,2]=>[8,7,6,4,3,2,1,5]=>{{1,2,3,5,6,7,8},{4}}=>4
[2,6,7,8,1,5,3,4]=>[8,2,7,6,4,1,5,3]=>{{1,3,4,5,6,7,8},{2}}=>6
[4,6,7,8,1,5,2,3]=>[8,7,6,4,3,1,5,2]=>{{1,2,3,5,6,7,8},{4}}=>4
[3,5,7,8,2,1,6,4]=>[8,7,3,5,2,4,1,6]=>{{1,2,4,5,6,7,8},{3}}=>5
[4,2,8,6,1,5,3,7]=>[2,8,4,6,3,1,5,7]=>{{1,2,3,4,5,6,7,8}}=>0
[7,2,1,3,5,8,6,4]=>[2,5,1,3,8,7,4,6]=>{{1,2,3,4,5,6,7,8}}=>0
[4,8,6,2,1,5,7,3]=>[7,4,6,2,3,1,8,5]=>{{1,3,5,6,7,8},{2,4}}=>4
[6,4,7,5,1,8,2,3]=>[5,8,4,7,3,6,2,1]=>{{1,2,3,4,5,7,8},{6}}=>2
[4,7,3,5,6,1,8,2]=>[4,3,8,5,6,2,7,1]=>{{1,2,3,4,5,6,8},{7}}=>1
[4,6,8,2,1,5,7,3]=>[7,6,4,2,3,1,8,5]=>{{1,2,3,4,5,6,7,8}}=>0
[6,8,2,1,3,5,7,4]=>[7,6,1,3,4,2,8,5]=>{{1,3,4,5,7,8},{2,6}}=>2
[8,5,1,2,6,3,4,7]=>[5,8,2,3,6,4,1,7]=>{{1,2,3,4,5,6,7,8}}=>0
[1,6,2,7,4,8,3,5]=>[1,8,2,7,3,6,5,4]=>{{1},{2,3,4,5,7,8},{6}}=>2
[6,7,3,8,4,1,5,2]=>[7,3,8,6,1,5,2,4]=>{{1,2,3,4,5,6,7,8}}=>0
[2,7,8,4,1,5,6,3]=>[7,2,4,8,3,1,5,6]=>{{1,3,4,5,6,7,8},{2}}=>6
[8,2,5,1,6,7,3,4]=>[2,5,8,3,6,7,4,1]=>{{1,2,3,4,5,6,7,8}}=>0
[8,2,4,5,1,6,7,3]=>[2,4,6,5,3,7,8,1]=>{{1,2,3,4,5,6,7,8}}=>0
[4,5,8,3,6,7,1,2]=>[8,5,4,1,6,7,3,2]=>{{1,2,3,4,5,6,7,8}}=>0
[7,2,3,4,8,1,6,5]=>[2,3,4,8,7,5,1,6]=>{{1,2,3,4,5,6,7,8}}=>0
[7,6,3,5,8,4,1,2]=>[3,6,7,8,5,1,4,2]=>{{1,2,3,4,6,7,8},{5}}=>3
[7,2,3,8,5,1,4,6]=>[2,3,7,5,8,4,6,1]=>{{1,2,3,4,5,6,7,8}}=>0
[7,2,3,5,8,1,4,6]=>[2,3,7,8,5,4,6,1]=>{{1,2,3,4,6,7,8},{5}}=>3
[7,8,2,3,6,1,4,5]=>[7,6,1,2,8,5,4,3]=>{{1,2,3,4,5,6,7,8}}=>0
[4,2,6,3,7,1,5,8]=>[2,7,4,1,6,5,3,8]=>{{1,2,3,4,7},{5,6},{8}}=>1
[2,6,4,8,1,3,7,5]=>[6,2,7,4,3,5,8,1]=>{{1,3,5,6,7,8},{2},{4}}=>9
[3,6,4,8,1,7,5,2]=>[8,3,6,4,2,7,1,5]=>{{1,2,3,5,6,7,8},{4}}=>4
[7,6,5,1,2,4,8,3]=>[5,6,8,3,4,1,7,2]=>{{1,2,3,4,5,6,8},{7}}=>1
[7,6,5,1,3,2,4,8]=>[5,6,7,3,2,4,1,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[7,2,3,4,5,1,8,6]=>[2,3,4,5,8,1,7,6]=>{{1,2,3,4,5,6,8},{7}}=>1
[3,5,8,4,1,2,6,7]=>[5,4,3,8,2,1,6,7]=>{{1,2,4,5,6,7,8},{3}}=>5
[4,2,8,3,6,1,7,5]=>[2,6,4,1,7,5,8,3]=>{{1,2,3,4,5,6,7,8}}=>0
[3,5,8,4,1,6,7,2]=>[5,4,3,6,2,7,8,1]=>{{1,2,4,5,6,7,8},{3}}=>5
[2,5,8,4,1,7,3,6]=>[5,2,4,7,3,8,6,1]=>{{1,3,4,5,6,7,8},{2}}=>6
[3,6,4,2,1,7,5,8]=>[7,3,4,1,2,6,5,8]=>{{1,2,3,4,5,7},{6},{8}}=>1
[4,1,7,6,2,8,5,3]=>[8,1,4,7,3,6,2,5]=>{{1,2,3,4,5,7,8},{6}}=>2
[4,6,1,5,3,2,8,7]=>[6,4,2,5,1,3,8,7]=>{{1,2,3,4,5,6},{7,8}}=>0
[8,7,1,6,5,2,4,3]=>[5,6,2,7,8,4,1,3]=>{{1,2,3,4,5,6,7,8}}=>0
[7,2,5,6,8,1,3,4]=>[2,6,8,7,5,4,3,1]=>{{1,2,3,4,6,7,8},{5}}=>3
[6,8,2,7,4,3,5,1]=>[8,6,1,7,2,4,3,5]=>{{1,2,3,4,5,6,7,8}}=>0
[4,7,8,5,1,6,3,2]=>[7,5,4,6,3,8,1,2]=>{{1,7},{2,3,4,5,6,8}}=>0
[8,2,6,4,7,3,5,1]=>[2,4,6,8,7,3,1,5]=>{{1,2,4,5,7,8},{3,6}}=>2
[3,8,5,1,7,2,4,6]=>[8,3,5,2,7,4,6,1]=>{{1,8},{2,3,4,5,6,7}}=>1
[3,7,1,8,4,5,6,2]=>[8,3,2,7,1,4,5,6]=>{{1,4,5,6,7,8},{2,3}}=>5
[8,6,4,3,1,7,2,5]=>[4,6,8,1,3,7,5,2]=>{{1,4},{2,3,5,6,7,8}}=>0
[8,3,7,4,6,1,2,5]=>[3,6,4,7,8,5,2,1]=>{{1,2,3,4,5,6,7,8}}=>0
[2,3,5,8,6,7,4,1]=>[8,2,3,5,6,7,1,4]=>{{1,4,5,6,7,8},{2},{3}}=>10
[8,1,3,2,5,6,7,4]=>[3,1,5,2,6,7,8,4]=>{{1,2,3,4,5,6,7,8}}=>0
[3,6,8,1,5,2,4,7]=>[6,5,3,2,8,4,1,7]=>{{1,2,4,5,6,7,8},{3}}=>5
[2,1,6,8,3,7,5,4]=>[2,1,8,6,4,7,3,5]=>{{1,2},{3,4,5,6,7,8}}=>0
[6,2,8,1,7,5,4,3]=>[2,8,6,3,7,1,4,5]=>{{1,2,3,4,5,6,7,8}}=>0
[6,5,3,4,8,1,7,2]=>[3,4,6,7,5,2,8,1]=>{{1,2,3,4,6,7,8},{5}}=>3
[4,2,8,1,5,3,6,7]=>[2,5,4,3,8,1,6,7]=>{{1,2,5,6,7,8},{3,4}}=>4
[5,1,8,2,6,4,3,7]=>[8,1,5,3,6,2,4,7]=>{{1,2,3,4,5,6,7,8}}=>0
[4,6,2,8,3,7,5,1]=>[8,6,1,4,2,7,3,5]=>{{1,2,3,5,6,7,8},{4}}=>4
[7,8,5,6,4,1,3,2]=>[6,5,8,7,1,4,2,3]=>{{1,2,4,5,6,7},{3,8}}=>0
[4,8,1,3,5,7,6,2]=>[5,4,2,1,7,8,3,6]=>{{1,2,3,4,5,7},{6,8}}=>0
[3,8,1,4,5,6,2,7]=>[4,3,2,5,6,8,1,7]=>{{1,4,5,6,7,8},{2,3}}=>5
[6,5,8,4,7,1,3,2]=>[5,7,4,8,6,3,1,2]=>{{1,2,3,4,5,6,7,8}}=>0
[6,8,4,1,2,3,7,5]=>[6,4,7,3,2,5,8,1]=>{{1,2,3,4,5,6,7,8}}=>0
[4,1,8,5,6,3,2,7]=>[8,1,4,5,6,2,3,7]=>{{1,2,3,4,5,6,7,8}}=>0
[8,1,6,5,3,7,2,4]=>[5,1,6,8,3,7,4,2]=>{{1,2,3,4,5,6,7,8}}=>0
[8,6,3,5,1,7,2,4]=>[3,5,6,8,4,7,2,1]=>{{1,2,3,4,5,6,7,8}}=>0
[1,7,4,6,2,3,8,5]=>[1,4,8,6,3,5,7,2]=>{{1},{2,3,4,5,6,8},{7}}=>1
[6,7,4,1,5,3,8,2]=>[5,4,6,3,8,1,7,2]=>{{1,2,3,4,5,6,8},{7}}=>1
[1,7,4,2,3,6,8,5]=>[1,4,6,3,2,8,7,5]=>{{1},{2,3,4,5,6,8},{7}}=>1
[6,8,1,5,4,7,3,2]=>[6,5,2,8,1,7,3,4]=>{{1,2,3,5,6,7},{4,8}}=>0
[7,6,4,1,5,2,8,3]=>[4,5,6,3,8,2,7,1]=>{{1,2,3,4,5,6,8},{7}}=>1
[8,6,1,5,4,7,2,3]=>[5,6,2,8,1,7,4,3]=>{{1,5},{2,3,4,6,7,8}}=>0
[7,5,4,1,3,2,8,6]=>[4,5,8,3,1,2,7,6]=>{{1,2,3,4,5,6,8},{7}}=>1
[8,3,2,7,1,6,5,4]=>[3,6,1,7,4,8,2,5]=>{{1,3},{2,4,5,6,7,8}}=>0
[3,7,6,1,4,2,5,8]=>[7,3,6,2,1,5,4,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[3,7,5,1,4,6,8,2]=>[6,3,5,2,1,8,7,4]=>{{1,2,3,4,5,6,8},{7}}=>1
[7,3,6,2,1,5,4,8]=>[3,7,6,1,4,2,5,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[6,8,4,5,2,1,7,3]=>[5,4,7,6,2,3,8,1]=>{{1,2,3,4,5,6,7,8}}=>0
[4,6,8,5,1,7,3,2]=>[8,5,4,6,3,7,1,2]=>{{1,2,3,4,5,6,7,8}}=>0
[4,7,5,1,3,8,6,2]=>[8,4,5,3,1,7,2,6]=>{{1,2,3,4,5,6,7,8}}=>0
[4,1,8,6,3,7,2,5]=>[8,1,4,6,2,7,5,3]=>{{1,2,3,4,5,6,7,8}}=>0
[8,4,2,5,7,3,1,6]=>[4,8,1,5,7,2,6,3]=>{{1,2,3,4,5,6,7,8}}=>0
[5,4,8,7,3,6,1,2]=>[6,7,4,5,1,8,3,2]=>{{1,2,3,4,5,6,7,8}}=>0
[7,6,4,8,3,5,2,1]=>[6,7,8,4,1,2,3,5]=>{{1,2,3,5,6,7,8},{4}}=>4
[8,1,3,4,5,2,6,7]=>[3,1,4,5,8,2,6,7]=>{{1,2,3,4,5,6,7,8}}=>0
[6,7,4,8,5,1,2,3]=>[6,5,7,4,8,3,2,1]=>{{1,2,3,5,6,7,8},{4}}=>4
[6,1,4,8,5,3,7,2]=>[5,1,6,4,7,2,8,3]=>{{1,2,3,5,6,7,8},{4}}=>4
[7,1,4,6,3,8,5,2]=>[4,1,8,7,2,6,3,5]=>{{1,2,3,4,5,7,8},{6}}=>2
[1,5,3,2,8,6,4,7]=>[1,3,6,2,5,8,4,7]=>{{1},{2,3,4,6,7,8},{5}}=>3
[8,6,3,7,4,1,2,5]=>[3,6,8,7,1,5,4,2]=>{{1,2,3,5,6,8},{4,7}}=>1
[6,7,3,1,5,4,2,8]=>[5,3,6,2,7,1,4,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[8,1,3,2,4,5,6,7]=>[3,1,8,2,4,5,6,7]=>{{1,2,3,4,5,6,7,8}}=>0
[8,2,1,6,5,4,7,3]=>[2,5,1,6,7,3,8,4]=>{{1,2,3,4,5,6,7,8}}=>0
[6,8,4,1,2,5,7,3]=>[6,4,7,3,2,1,8,5]=>{{1,6},{2,3,4,5,7,8}}=>0
[5,2,1,4,7,6,3,8]=>[2,4,1,6,5,7,3,8]=>{{1,2,3,4,6,7},{5},{8}}=>2
[8,5,4,1,3,6,2,7]=>[4,5,6,3,1,8,2,7]=>{{1,2,3,4,5,6,7,8}}=>0
[5,8,1,2,4,7,3,6]=>[7,5,2,3,1,8,6,4]=>{{1,2,3,4,5,6,7,8}}=>0
[6,8,3,1,4,5,7,2]=>[6,3,7,2,1,4,8,5]=>{{1,2,3,4,5,6,7,8}}=>0
[4,1,2,8,5,7,3,6]=>[5,1,2,4,7,8,6,3]=>{{1,2,3,5,6,7,8},{4}}=>4
[7,3,4,1,8,5,2,6]=>[3,8,4,2,7,1,6,5]=>{{1,2,3,4,5,6,7,8}}=>0
[6,4,2,8,7,1,5,3]=>[6,8,1,4,7,5,2,3]=>{{1,2,3,5,6,7,8},{4}}=>4
[4,6,3,1,7,8,5,2]=>[4,3,8,2,7,6,1,5]=>{{1,2,3,4,5,7,8},{6}}=>2
[5,2,8,7,6,1,4,3]=>[2,8,5,6,7,4,1,3]=>{{1,2,3,5,7,8},{4,6}}=>2
[7,8,2,6,5,1,4,3]=>[6,5,1,7,8,4,2,3]=>{{1,2,3,4,5,6,7,8}}=>0
[6,1,8,7,5,4,3,2]=>[7,1,5,6,8,2,3,4]=>{{1,2,3,4,5,6,7,8}}=>0
[6,2,8,7,1,5,4,3]=>[2,8,6,7,4,1,3,5]=>{{1,2,3,4,5,6,7,8}}=>0
[4,8,2,7,6,1,5,3]=>[7,4,1,6,8,5,2,3]=>{{1,2,3,4,5,6,7,8}}=>0
[3,8,7,2,1,6,5,4]=>[7,3,6,1,4,8,2,5]=>{{1,2,3,4,5,6,7,8}}=>0
[6,5,8,7,1,4,3,2]=>[7,8,5,6,4,1,2,3]=>{{1,2,3,4,5,6,7,8}}=>0
[5,4,1,8,7,6,3,2]=>[5,7,2,4,6,8,1,3]=>{{1,2,3,5,6,7,8},{4}}=>4
[6,5,3,1,8,7,4,2]=>[3,6,8,2,5,7,1,4]=>{{1,2,3,4,6,7,8},{5}}=>3
[6,4,3,1,8,7,5,2]=>[3,4,8,2,6,7,1,5]=>{{1,3,5,6,7,8},{2,4}}=>4
[6,3,2,1,8,7,5,4]=>[3,8,1,2,6,7,4,5]=>{{1,3},{2,4,5,6,7,8}}=>0
[6,1,4,2,3,5,8,7]=>[4,1,6,3,2,5,8,7]=>{{1,2,3,4,5,6},{7,8}}=>0
[6,8,1,4,2,3,5,7]=>[6,4,2,8,3,5,1,7]=>{{1,2,3,4,5,6,7,8}}=>0
[4,1,8,2,3,6,5,7]=>[6,1,4,3,2,8,5,7]=>{{1,2,5,6,7,8},{3,4}}=>4
[8,2,3,6,1,4,5,7]=>[2,3,6,8,4,5,1,7]=>{{1,2,3,4,5,6,7,8}}=>0
[4,8,2,3,6,1,5,7]=>[6,4,1,2,8,5,3,7]=>{{1,3,5,6,7,8},{2,4}}=>4
[8,4,2,3,6,1,5,7]=>[4,6,1,2,8,5,3,7]=>{{1,2,3,4,5,6,7,8}}=>0
[6,4,2,3,8,1,5,7]=>[4,8,1,2,6,5,3,7]=>{{1,2,3,4,7,8},{5,6}}=>2
[2,6,3,8,4,1,5,7]=>[3,2,8,6,1,5,4,7]=>{{1,3,4,5,6,7,8},{2}}=>6
[8,3,6,4,2,1,5,7]=>[3,6,4,8,1,5,2,7]=>{{1,2,3,4,5,6,7,8}}=>0
[8,3,6,2,4,1,5,7]=>[3,8,6,1,2,5,4,7]=>{{1,2,3,4,5,6,7,8}}=>0
[6,2,1,3,8,4,5,7]=>[2,8,1,3,6,5,4,7]=>{{1,2,3,4,7,8},{5,6}}=>2
[8,2,1,3,6,4,5,7]=>[2,6,1,3,8,5,4,7]=>{{1,2,3,4,5,6,7,8}}=>0
[6,3,8,2,4,1,5,7]=>[6,8,3,1,2,5,4,7]=>{{1,2,4,5,6,7,8},{3}}=>5
[3,6,4,7,8,5,1,2]=>[8,3,7,4,6,1,5,2]=>{{1,2,3,5,6,7,8},{4}}=>4
[1,6,4,2,7,5,8,3]=>[1,4,8,3,6,2,7,5]=>{{1},{2,3,4,5,6,8},{7}}=>1
[3,6,4,2,7,1,5,8]=>[7,3,4,1,6,5,2,8]=>{{1,2,3,4,7},{5,6},{8}}=>1
[7,8,1,4,2,5,6,3]=>[7,4,2,8,3,1,5,6]=>{{1,2,3,4,5,6,7,8}}=>0
[6,1,8,7,4,2,3,5]=>[8,1,6,7,2,5,4,3]=>{{1,2,3,5,6,8},{4,7}}=>1
[7,1,2,4,5,8,6,3]=>[4,1,2,5,8,7,3,6]=>{{1,2,3,4,5,6,7,8}}=>0
[1,2,7,3,5,8,6,4]=>[1,2,5,3,8,7,4,6]=>{{1},{2},{3,4,5,6,7,8}}=>0
[4,6,2,1,7,5,3,8]=>[7,4,1,3,6,2,5,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[1,6,3,7,8,5,2,4]=>[1,3,8,7,6,2,5,4]=>{{1},{2,3,4,5,6,7,8}}=>0
[6,5,3,8,4,2,1,7]=>[3,6,8,5,1,2,4,7]=>{{1,3,4,5,7,8},{2,6}}=>2
[5,4,8,6,2,3,7,1]=>[6,7,4,5,2,1,8,3]=>{{1,6},{2,3,4,5,7,8}}=>0
[6,2,1,3,5,8,7,4]=>[2,5,1,3,7,6,8,4]=>{{1,2,3,4,5,7,8},{6}}=>2
[6,2,1,3,8,5,7,4]=>[2,7,1,3,6,4,8,5]=>{{1,2,3,4,5,6,7,8}}=>0
[8,2,1,4,3,5,7,6]=>[2,4,1,7,3,5,8,6]=>{{1,2,3,4,5,6,7,8}}=>0
[8,2,4,1,3,5,7,6]=>[2,4,7,3,1,5,8,6]=>{{1,2,3,4,5,6,7,8}}=>0
[8,4,1,6,3,5,7,2]=>[4,7,2,6,1,3,8,5]=>{{1,2,3,4,5,6,7,8}}=>0
[1,8,4,6,3,5,7,2]=>[1,4,7,6,2,3,8,5]=>{{1},{2,3,4,5,6,7,8}}=>0
[1,6,4,8,3,5,7,2]=>[1,6,7,4,2,3,8,5]=>{{1},{2,3,5,6,7,8},{4}}=>4
[6,4,1,8,3,5,7,2]=>[6,7,2,4,1,3,8,5]=>{{1,2,3,5,6,7,8},{4}}=>4
[6,2,8,1,3,5,7,4]=>[2,7,6,3,4,1,8,5]=>{{1,2,3,4,5,6,7,8}}=>0
[2,6,8,1,3,5,7,4]=>[7,2,6,3,4,1,8,5]=>{{1,3,4,5,6,7,8},{2}}=>6
[1,4,6,3,8,5,7,2]=>[1,7,4,2,6,3,8,5]=>{{1},{2,3,4,5,6,7,8}}=>0
[2,4,1,8,3,5,7,6]=>[7,2,1,4,3,5,8,6]=>{{1,3,5,6,7,8},{2},{4}}=>9
[4,1,3,6,8,5,7,2]=>[3,1,7,4,6,2,8,5]=>{{1,2,3,5,6,7,8},{4}}=>4
[2,8,1,4,3,5,7,6]=>[4,2,1,7,3,5,8,6]=>{{1,3,4,5,6,7,8},{2}}=>6
[6,8,1,4,3,5,7,2]=>[6,4,2,7,1,3,8,5]=>{{1,2,3,4,5,6,7,8}}=>0
[6,1,8,4,3,5,7,2]=>[6,1,4,7,2,3,8,5]=>{{1,2,3,4,5,6,7,8}}=>0
[1,6,8,4,3,5,7,2]=>[1,6,4,7,2,3,8,5]=>{{1},{2,3,4,5,6,7,8}}=>0
[8,1,6,4,3,5,7,2]=>[4,1,6,7,2,3,8,5]=>{{1,2,4,5,7,8},{3,6}}=>2
[7,8,6,5,2,1,4,3]=>[6,5,7,8,3,4,1,2]=>{{1,2,3,4,5,6,7,8}}=>0
[5,7,4,1,8,6,3,2]=>[6,4,7,3,5,8,1,2]=>{{1,2,3,4,6,7,8},{5}}=>3
[3,6,8,4,5,7,2,1]=>[5,4,3,6,8,7,1,2]=>{{1,2,4,5,6,7,8},{3}}=>5
[6,8,1,4,5,3,7,2]=>[5,4,2,6,7,1,8,3]=>{{1,2,3,4,5,6,7,8}}=>0
[6,7,1,4,5,3,2,8]=>[5,4,2,6,7,1,3,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[6,7,1,4,5,3,8,2]=>[5,4,2,6,8,1,7,3]=>{{1,2,3,4,5,6,8},{7}}=>1
[5,4,7,2,8,3,6,1]=>[7,8,4,2,5,1,3,6]=>{{1,2,3,4,6,7,8},{5}}=>3
[7,8,3,1,4,6,2,5]=>[6,3,7,2,1,8,5,4]=>{{1,2,3,4,5,6,7,8}}=>0
[6,5,8,7,3,4,2,1]=>[7,8,5,6,2,1,3,4]=>{{1,2,3,4,5,6,7,8}}=>0
[5,8,1,4,7,3,6,2]=>[5,4,2,8,7,1,3,6]=>{{1,2,3,4,5,6,7,8}}=>0
[6,4,7,2,8,5,3,1]=>[7,8,4,2,6,1,3,5]=>{{1,2,3,4,5,6,7,8}}=>0
[6,8,3,1,4,7,5,2]=>[6,3,8,2,1,7,4,5]=>{{1,2,3,4,5,6,7,8}}=>0
[6,7,3,1,4,5,8,2]=>[6,3,8,2,1,4,7,5]=>{{1,2,3,4,5,6,8},{7}}=>1
[6,8,3,1,4,5,2,7]=>[6,3,8,2,1,4,5,7]=>{{1,2,3,4,5,6,7,8}}=>0
[8,7,6,3,5,2,1,4]=>[5,6,7,1,8,3,4,2]=>{{1,2,3,4,5,6,7,8}}=>0
[8,7,3,6,5,2,1,4]=>[3,5,6,7,8,2,4,1]=>{{1,2,3,5,6,8},{4,7}}=>1
[5,8,7,4,3,2,1,6]=>[7,4,5,8,1,2,6,3]=>{{1,2,3,4,5,6,7,8}}=>0
[4,8,2,6,3,5,7,1]=>[7,4,1,6,2,3,8,5]=>{{1,2,3,4,5,6,7,8}}=>0
[2,1,8,7,4,5,3,6]=>[2,1,7,8,3,4,6,5]=>{{1,2},{3,4,5,6,7,8}}=>0
[7,3,1,6,8,5,2,4]=>[3,7,2,8,6,1,5,4]=>{{1,2,3,5,6,7},{4,8}}=>0
[2,4,8,3,1,6,5,7]=>[6,2,4,1,3,8,5,7]=>{{1,3,4,5,6,7,8},{2}}=>6
[2,8,3,5,1,7,4,6]=>[3,2,5,7,4,8,6,1]=>{{1,3,4,5,6,7,8},{2}}=>6
[5,4,3,8,7,1,6,2]=>[3,5,8,4,7,2,1,6]=>{{1,2,3,5,6,7,8},{4}}=>4
[8,5,4,3,7,2,6,1]=>[4,5,8,1,7,2,3,6]=>{{1,4},{2,3,5,6,7,8}}=>0
[5,4,2,8,3,1,7,6]=>[5,7,1,4,2,3,8,6]=>{{1,2,3,5,6,7,8},{4}}=>4
[2,8,6,4,1,7,5,3]=>[4,2,6,8,3,7,1,5]=>{{1,3,4,5,6,7,8},{2}}=>6
[7,4,8,6,2,1,5,3]=>[6,8,4,7,2,5,1,3]=>{{1,2,3,4,5,6,7,8}}=>0
[4,7,8,6,1,2,5,3]=>[8,6,4,7,3,5,1,2]=>{{1,2,3,4,5,6,7,8}}=>0
[5,7,8,6,1,2,4,3]=>[8,6,5,7,4,3,1,2]=>{{1,2,3,4,5,6,7,8}}=>0
[7,6,4,8,3,2,1,5]=>[6,7,8,4,1,3,5,2]=>{{1,2,3,5,6,7,8},{4}}=>4
[6,4,8,7,3,1,5,2]=>[7,8,4,6,1,5,2,3]=>{{1,2,3,4,5,6,7,8}}=>0
[4,6,8,7,1,3,5,2]=>[8,7,4,6,3,2,1,5]=>{{1,2,3,4,5,6,7,8}}=>0
[2,6,8,5,1,3,7,4]=>[6,2,5,7,4,3,8,1]=>{{1,3,4,5,6,7,8},{2}}=>6
[2,5,8,3,1,4,7,6]=>[7,2,5,1,4,3,8,6]=>{{1,3,4,5,6,7,8},{2}}=>6
[5,6,8,7,1,3,4,2]=>[8,7,5,6,4,2,1,3]=>{{1,2,3,4,5,6,7,8}}=>0
[1,8,4,6,3,5,2,7]=>[1,4,8,6,2,3,5,7]=>{{1},{2,3,4,5,6,7,8}}=>0
[5,4,8,6,2,1,3,7]=>[6,8,4,5,2,3,1,7]=>{{1,2,3,4,5,6,7,8}}=>0
[2,3,6,8,1,5,4,7]=>[8,2,3,6,4,1,5,7]=>{{1,4,5,6,7,8},{2},{3}}=>10
[2,7,6,1,8,5,4,3]=>[7,2,8,3,6,1,4,5]=>{{1,3,4,5,6,7,8},{2}}=>6
[1,8,7,6,3,2,4,5]=>[1,6,7,8,3,5,4,2]=>{{1},{2,3,4,5,6,7,8}}=>0
[6,3,5,1,7,2,4,8]=>[3,7,6,2,5,4,1,8]=>{{1,2,3,4,6,7},{5},{8}}=>2
[2,7,6,4,8,5,1,3]=>[4,2,7,8,6,1,5,3]=>{{1,3,4,5,6,7,8},{2}}=>6
[3,7,1,6,8,5,4,2]=>[7,3,2,8,6,1,4,5]=>{{1,4,5,6,7,8},{2,3}}=>5
[7,3,5,4,6,8,2,1]=>[3,5,4,8,7,6,1,2]=>{{1,2,3,4,5,7,8},{6}}=>2
[1,8,4,5,2,6,3,7]=>[1,4,6,5,3,8,2,7]=>{{1},{2,3,4,5,6,7,8}}=>0
[7,3,5,8,4,6,2,1]=>[3,7,6,5,1,8,2,4]=>{{1,3,4,5,6,8},{2,7}}=>1
[6,3,5,8,4,2,7,1]=>[3,7,6,5,1,2,8,4]=>{{1,2,3,4,5,6,7,8}}=>0
[7,4,8,5,3,2,1,6]=>[5,8,4,7,1,2,6,3]=>{{1,5},{2,3,4,6,7,8}}=>0
[1,8,4,5,2,3,6,7]=>[1,4,8,5,3,2,6,7]=>{{1},{2,3,4,5,6,7,8}}=>0
[3,4,8,7,5,2,6,1]=>[7,4,3,5,8,1,2,6]=>{{1,2,4,5,6,7,8},{3}}=>5
[8,7,3,6,4,2,5,1]=>[3,6,7,8,1,4,2,5]=>{{1,2,3,4,5,6,7,8}}=>0
[3,7,6,1,8,2,5,4]=>[8,3,7,2,6,5,1,4]=>{{1,2,3,4,7,8},{5,6}}=>2
[8,2,3,6,1,4,7,5]=>[2,3,6,7,4,5,8,1]=>{{1,2,3,4,5,6,7,8}}=>0
[1,8,2,6,3,4,7,5]=>[1,6,2,7,4,5,8,3]=>{{1},{2,3,4,5,6,7,8}}=>0
[8,1,3,6,4,7,2,5]=>[3,1,6,8,2,7,5,4]=>{{1,2,3,5,6,7},{4,8}}=>0
[8,2,1,3,5,7,4,6]=>[2,5,1,3,7,8,6,4]=>{{1,2,3,4,5,6,7,8}}=>0
[7,5,4,1,3,8,2,6]=>[4,5,8,3,1,7,6,2]=>{{1,2,3,4,5,8},{6,7}}=>1
[7,2,3,6,1,4,8,5]=>[2,3,6,8,4,5,7,1]=>{{1,2,3,4,5,6,8},{7}}=>1
[1,7,2,3,5,8,4,6]=>[1,5,2,3,8,7,6,4]=>{{1},{2,3,4,5,8},{6,7}}=>1
[7,4,8,1,3,6,2,5]=>[6,7,4,3,1,8,5,2]=>{{1,2,5,6,7,8},{3,4}}=>4
[8,1,2,3,5,7,4,6]=>[5,1,2,3,7,8,6,4]=>{{1,2,3,4,5,6,7,8}}=>0
[7,1,2,3,5,8,4,6]=>[5,1,2,3,8,7,6,4]=>{{1,2,3,4,5,8},{6,7}}=>1
[7,5,4,8,1,3,2,6]=>[5,7,8,4,3,1,6,2]=>{{1,2,3,5,6,7,8},{4}}=>4
[3,7,2,5,6,1,8,4]=>[5,3,1,8,6,4,7,2]=>{{1,2,3,4,5,6,8},{7}}=>1
[8,3,2,1,5,7,4,6]=>[3,5,1,2,7,8,6,4]=>{{1,3},{2,4,5,6,7,8}}=>0
[1,2,8,3,5,7,4,6]=>[1,2,5,3,7,8,6,4]=>{{1},{2},{3,4,5,6,7,8}}=>0
[5,6,1,7,3,4,2,8]=>[7,6,2,5,3,1,4,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[5,1,7,4,2,8,6,3]=>[5,1,4,8,3,7,2,6]=>{{1,2,3,4,5,6,7,8}}=>0
[4,2,8,6,5,1,7,3]=>[2,6,4,5,7,3,8,1]=>{{1,2,3,4,5,6,7,8}}=>0
[6,4,2,8,5,1,7,3]=>[5,6,1,4,7,3,8,2]=>{{1,2,3,5,6,7,8},{4}}=>4
[5,1,6,4,2,3,8,7]=>[5,1,4,6,3,2,8,7]=>{{1,2,3,4,5,6},{7,8}}=>0
[3,8,7,1,6,5,2,4]=>[7,3,6,2,8,1,5,4]=>{{1,2,3,4,5,6,7,8}}=>0
[2,4,3,8,1,6,7,5]=>[3,2,6,4,1,7,8,5]=>{{1,3,5,6,7,8},{2},{4}}=>9
[4,2,3,7,8,5,1,6]=>[2,3,8,4,7,1,6,5]=>{{1,2,3,5,6,7,8},{4}}=>4
[8,7,4,6,1,5,2,3]=>[4,6,8,7,3,1,5,2]=>{{1,2,3,4,5,6,7,8}}=>0
[4,8,7,6,1,5,2,3]=>[8,4,6,7,3,1,5,2]=>{{1,2,3,4,5,6,7,8}}=>0
[5,8,7,6,1,4,2,3]=>[8,5,6,7,4,1,3,2]=>{{1,2,3,4,5,6,7,8}}=>0
[5,1,6,7,4,2,3,8]=>[7,1,6,5,2,4,3,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[6,7,4,8,1,5,2,3]=>[7,6,8,4,3,1,5,2]=>{{1,2,3,5,6,7,8},{4}}=>4
[8,4,7,6,1,5,2,3]=>[4,8,6,7,3,1,5,2]=>{{1,3,4,5,6,7},{2,8}}=>0
[8,3,2,4,7,1,5,6]=>[3,4,1,7,8,5,6,2]=>{{1,3},{2,4,5,6,7,8}}=>0
[8,6,7,5,1,4,2,3]=>[5,7,6,8,4,1,3,2]=>{{1,2,3,4,5,6,7,8}}=>0
[7,6,8,5,1,4,2,3]=>[6,7,5,8,4,1,3,2]=>{{1,6},{2,3,4,5,7,8}}=>0
[5,6,8,7,1,4,2,3]=>[8,7,5,6,4,1,3,2]=>{{1,2,3,4,5,6,7,8}}=>0
[6,7,8,5,1,4,2,3]=>[7,6,5,8,4,1,3,2]=>{{1,2,3,4,5,6,7,8}}=>0
[8,4,1,2,6,3,7,5]=>[4,6,2,3,7,5,8,1]=>{{1,2,3,4,5,6,7,8}}=>0
[7,3,8,1,5,4,2,6]=>[5,7,3,2,8,1,6,4]=>{{1,2,4,5,6,7,8},{3}}=>5
[7,1,5,3,8,4,2,6]=>[7,1,8,2,5,3,6,4]=>{{1,2,3,4,6,7,8},{5}}=>3
[6,8,3,1,5,4,2,7]=>[5,3,6,2,8,1,4,7]=>{{1,2,3,4,5,6,7,8}}=>0
[3,6,2,1,5,8,4,7]=>[5,3,1,2,8,6,4,7]=>{{1,2,3,4,5,7,8},{6}}=>2
[4,8,2,1,7,5,3,6]=>[7,4,1,3,8,2,6,5]=>{{1,2,3,4,6,7},{5,8}}=>0
[7,1,6,2,8,3,4,5]=>[7,1,8,3,6,5,4,2]=>{{1,2,3,4,7,8},{5,6}}=>2
[2,7,8,1,5,3,4,6]=>[7,2,5,3,8,4,6,1]=>{{1,3,4,5,6,7,8},{2}}=>6
[4,7,2,1,8,5,3,6]=>[8,4,1,3,7,2,6,5]=>{{1,2,3,4,5,6,7,8}}=>0
[8,7,5,6,1,4,3,2]=>[5,6,8,7,4,1,2,3]=>{{1,2,4,5,6,7},{3,8}}=>0
[5,7,8,6,1,4,3,2]=>[8,6,5,7,4,1,2,3]=>{{1,2,3,4,5,6,7,8}}=>0
[8,5,7,6,1,4,3,2]=>[5,8,6,7,4,1,2,3]=>{{1,2,3,4,5,6,7,8}}=>0
[6,5,7,8,1,4,3,2]=>[7,8,6,5,4,1,2,3]=>{{1,2,3,6,7,8},{4,5}}=>3
[6,2,4,1,8,5,3,7]=>[2,4,8,3,6,1,5,7]=>{{1,2,3,4,5,6,7,8}}=>0
[8,3,1,4,5,6,7,2]=>[3,4,2,5,6,7,8,1]=>{{1,2,3,4,5,6,7,8}}=>0
[5,3,1,4,8,6,7,2]=>[3,4,2,6,5,7,8,1]=>{{1,2,3,4,6,7,8},{5}}=>3
[7,5,1,6,3,4,8,2]=>[5,8,2,6,3,1,7,4]=>{{1,2,3,4,5,6,8},{7}}=>1
[5,3,1,8,4,6,7,2]=>[3,6,2,5,1,7,8,4]=>{{1,2,3,4,5,6,7,8}}=>0
[6,8,7,5,1,4,3,2]=>[7,5,6,8,4,1,2,3]=>{{1,2,3,4,5,6,7,8}}=>0
[7,8,6,5,1,4,3,2]=>[6,5,7,8,4,1,2,3]=>{{1,6},{2,3,4,5,7,8}}=>0
[6,2,4,5,1,8,7,3]=>[2,4,7,5,3,6,8,1]=>{{1,2,3,4,5,7,8},{6}}=>2
[3,7,4,5,8,2,1,6]=>[8,3,4,7,5,1,6,2]=>{{1,2,3,4,6,7,8},{5}}=>3
[1,7,4,2,6,3,5,8]=>[1,4,6,3,7,5,2,8]=>{{1},{2,3,4,5,6,7},{8}}=>0
[1,7,4,8,6,3,2,5]=>[1,6,7,4,8,3,5,2]=>{{1},{2,3,5,6,7,8},{4}}=>4
[4,8,3,5,6,7,1,2]=>[4,3,8,5,6,7,2,1]=>{{1,2,3,4,5,6,7,8}}=>0
[4,8,1,5,6,7,2,3]=>[8,4,2,5,6,7,3,1]=>{{1,8},{2,3,4,5,6,7}}=>1
[5,8,4,3,6,1,2,7]=>[5,4,8,1,6,3,2,7]=>{{1,2,3,4,5,6,7,8}}=>0
[3,8,4,2,6,1,5,7]=>[6,3,4,1,8,5,2,7]=>{{1,2,3,4,5,6,7,8}}=>0
[3,8,2,5,6,7,1,4]=>[5,3,1,8,6,7,4,2]=>{{1,2,3,4,5,6,7,8}}=>0
[8,2,1,5,6,7,4,3]=>[2,5,1,8,6,7,3,4]=>{{1,2,3,5,6,7},{4,8}}=>0
[7,8,4,3,6,2,1,5]=>[6,4,7,1,8,3,5,2]=>{{1,2,3,4,5,6,7,8}}=>0
[4,3,1,6,8,7,5,2]=>[3,8,2,4,6,7,1,5]=>{{1,2,3,5,6,7,8},{4}}=>4
[6,3,5,8,2,7,1,4]=>[3,8,6,5,2,7,4,1]=>{{1,2,3,4,5,6,7,8}}=>0
[7,3,6,1,8,2,4,5]=>[3,8,7,2,6,5,4,1]=>{{1,2,3,4,7,8},{5,6}}=>2
[8,4,2,5,6,7,1,3]=>[4,8,1,5,6,7,3,2]=>{{1,3,4,5,6,7},{2,8}}=>0
[4,1,8,5,6,7,3,2]=>[8,1,4,5,6,7,2,3]=>{{1,2,3,4,5,6,7,8}}=>0
[1,2,8,5,6,7,3,4]=>[1,2,5,8,6,7,4,3]=>{{1},{2},{3,4,5,6,7,8}}=>0
[8,4,2,3,5,7,1,6]=>[4,5,1,2,7,8,6,3]=>{{1,2,3,4,5,6,7,8}}=>0
[8,7,2,4,3,1,6,5]=>[4,7,1,8,2,5,3,6]=>{{1,2,3,4,5,6,7,8}}=>0
[8,3,5,4,2,1,7,6]=>[3,5,4,7,1,2,8,6]=>{{1,2,3,4,5,6,7,8}}=>0
[6,7,5,3,1,2,8,4]=>[6,5,8,1,4,3,7,2]=>{{1,2,3,4,5,6,8},{7}}=>1
[6,7,5,4,1,8,2,3]=>[5,4,7,8,3,6,2,1]=>{{1,2,3,4,5,7,8},{6}}=>2
[6,3,1,4,7,8,5,2]=>[3,4,2,8,7,6,1,5]=>{{1,2,3,4,5,7,8},{6}}=>2
[7,4,3,5,8,6,1,2]=>[3,4,7,6,5,8,2,1]=>{{1,2,3,4,6,7,8},{5}}=>3
[4,2,1,7,3,8,6,5]=>[2,8,1,4,3,7,5,6]=>{{1,2,3,5,6,7,8},{4}}=>4
[5,8,1,7,4,3,6,2]=>[8,5,2,7,1,3,4,6]=>{{1,2,3,5,6,8},{4,7}}=>1
[5,8,1,7,4,3,2,6]=>[8,5,2,7,1,3,6,4]=>{{1,2,3,4,5,6,7,8}}=>0
[4,2,1,7,3,6,5,8]=>[2,6,1,4,3,7,5,8]=>{{1,2,3,5,6,7},{4},{8}}=>3
[5,8,1,7,4,2,6,3]=>[8,5,2,7,1,4,3,6]=>{{1,2,3,4,5,6,7,8}}=>0
[7,8,2,4,1,3,6,5]=>[7,4,1,8,3,5,2,6]=>{{1,2,3,4,5,6,7,8}}=>0
[4,6,3,5,8,7,1,2]=>[4,3,8,6,5,7,2,1]=>{{1,2,3,4,6,7,8},{5}}=>3
[7,1,6,8,4,5,3,2]=>[7,1,8,6,2,3,4,5]=>{{1,2,3,4,5,6,7,8}}=>0
[7,4,6,5,2,8,1,3]=>[4,8,5,7,2,6,3,1]=>{{1,2,3,4,5,7,8},{6}}=>2
[5,7,8,1,4,6,3,2]=>[7,6,5,3,1,8,2,4]=>{{1,2,3,4,5,6,7,8}}=>0
[8,1,4,5,6,7,3,2]=>[4,1,8,5,6,7,2,3]=>{{1,2,4,5,6,7},{3,8}}=>0
[5,6,7,1,4,2,3,8]=>[7,6,5,3,1,4,2,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[8,4,2,6,1,5,7,3]=>[4,7,1,6,3,2,8,5]=>{{1,2,3,4,5,6,7,8}}=>0
[3,1,8,2,5,6,4,7]=>[5,1,3,2,6,8,4,7]=>{{1,2,4,5,6,7,8},{3}}=>5
[7,3,1,5,6,2,4,8]=>[3,5,2,7,6,4,1,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[8,7,2,4,1,6,5,3]=>[4,6,1,7,3,8,2,5]=>{{1,2,3,4,5,6,7,8}}=>0
[1,7,3,8,2,6,4,5]=>[1,3,7,6,4,8,5,2]=>{{1},{2,3,4,5,6,7,8}}=>0
[7,1,5,8,3,2,4,6]=>[7,1,8,5,3,4,6,2]=>{{1,2,3,4,5,6,7,8}}=>0
[4,7,8,1,3,2,5,6]=>[8,7,4,3,1,5,6,2]=>{{1,2,5,6,7,8},{3,4}}=>4
[7,1,4,2,3,5,6,8]=>[4,1,7,3,2,5,6,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[8,3,5,7,1,6,4,2]=>[3,7,5,6,4,8,1,2]=>{{1,2,3,4,5,6,7,8}}=>0
[8,3,6,1,4,5,7,2]=>[3,7,6,2,1,4,8,5]=>{{1,2,3,4,5,6,7,8}}=>0
[2,6,8,3,4,5,7,1]=>[7,2,6,1,3,4,8,5]=>{{1,3,4,5,6,7,8},{2}}=>6
[7,3,6,1,4,8,5,2]=>[3,8,7,2,1,6,4,5]=>{{1,2,3,4,5,7,8},{6}}=>2
[7,4,6,1,2,8,3,5]=>[4,8,7,3,2,6,5,1]=>{{1,2,3,4,5,7,8},{6}}=>2
[6,4,1,2,8,5,7,3]=>[4,7,2,3,6,1,8,5]=>{{1,2,3,4,5,6,7,8}}=>0
[6,7,3,1,4,8,5,2]=>[7,3,8,2,1,6,4,5]=>{{1,2,3,4,5,7,8},{6}}=>2
[5,4,7,1,2,8,6,3]=>[5,8,4,3,2,7,1,6]=>{{1,2,5,6,7,8},{3,4}}=>4
[6,7,4,1,2,8,3,5]=>[7,4,8,3,2,6,5,1]=>{{1,2,3,4,5,7,8},{6}}=>2
[8,2,3,4,5,1,7,6]=>[2,3,4,5,7,1,8,6]=>{{1,2,3,4,5,6,7,8}}=>0
[6,1,5,8,2,7,3,4]=>[6,1,8,5,4,7,3,2]=>{{1,2,3,6,7,8},{4,5}}=>3
[3,2,8,5,1,6,7,4]=>[2,5,3,6,4,7,8,1]=>{{1,2,4,5,6,7,8},{3}}=>5
[3,5,6,8,4,1,7,2]=>[7,6,3,5,1,4,8,2]=>{{1,2,4,5,6,7,8},{3}}=>5
[7,2,3,1,4,6,5,8]=>[2,3,6,1,4,7,5,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[8,2,3,1,4,5,7,6]=>[2,3,7,1,4,5,8,6]=>{{1,2,3,4,5,6,7,8}}=>0
[2,8,1,3,4,6,7,5]=>[6,2,1,3,4,7,8,5]=>{{1,3,4,5,6,7,8},{2}}=>6
[7,8,1,2,5,3,6,4]=>[7,5,2,3,8,4,1,6]=>{{1,7},{2,3,4,5,6,8}}=>0
[1,4,8,3,2,5,7,6]=>[1,7,4,2,3,5,8,6]=>{{1},{2,3,4,5,6,7,8}}=>0
[1,3,8,4,2,6,7,5]=>[1,4,3,6,2,7,8,5]=>{{1},{2,4,5,6,7,8},{3}}=>5
[5,6,8,3,1,7,2,4]=>[8,6,5,1,4,7,3,2]=>{{1,2,3,4,5,6,7,8}}=>0
[3,8,2,5,6,1,4,7]=>[5,3,1,8,6,4,2,7]=>{{1,2,3,4,5,6,7,8}}=>0
[3,5,2,8,6,4,1,7]=>[8,3,1,5,6,2,4,7]=>{{1,2,3,4,5,6,7,8}}=>0
[7,4,2,5,3,8,1,6]=>[4,8,1,5,2,7,6,3]=>{{1,2,3,4,5,8},{6,7}}=>1
[1,5,6,8,3,4,2,7]=>[1,8,6,5,3,2,4,7]=>{{1},{2,3,4,5,6,7,8}}=>0
[4,5,8,1,6,3,2,7]=>[8,5,4,3,6,1,2,7]=>{{1,2,5,6,7,8},{3,4}}=>4
[6,4,3,7,8,2,5,1]=>[3,7,8,4,6,2,1,5]=>{{1,2,3,5,6,7,8},{4}}=>4
[7,5,2,8,1,4,3,6]=>[7,8,1,5,4,2,6,3]=>{{1,2,3,6,7,8},{4,5}}=>3
[5,7,3,8,4,6,1,2]=>[6,3,7,5,1,8,4,2]=>{{1,2,3,4,5,6,7,8}}=>0
[1,4,5,7,3,8,6,2]=>[1,8,5,4,2,7,3,6]=>{{1},{2,3,5,6,7,8},{4}}=>4
[4,2,6,3,7,8,5,1]=>[2,8,4,1,7,6,3,5]=>{{1,2,3,4,5,7,8},{6}}=>2
[3,6,2,7,4,1,8,5]=>[8,3,1,6,2,5,7,4]=>{{1,2,3,4,5,6,8},{7}}=>1
[2,6,7,4,8,5,3,1]=>[7,2,4,8,6,1,3,5]=>{{1,3,4,5,6,7,8},{2}}=>6
[1,7,4,8,5,2,6,3]=>[1,5,7,4,8,3,2,6]=>{{1},{2,3,5,6,7,8},{4}}=>4
[1,6,7,4,8,5,3,2]=>[1,7,4,8,6,2,3,5]=>{{1},{2,3,4,5,6,7,8}}=>0
[1,8,2,4,6,3,5,7]=>[1,4,2,6,8,5,3,7]=>{{1},{2,3,4,5,6,7,8}}=>0
[1,8,5,3,4,7,2,6]=>[1,5,7,2,3,8,6,4]=>{{1},{2,3,4,5,6,7,8}}=>0
[3,6,2,7,1,4,5,8]=>[7,3,1,6,4,5,2,8]=>{{1,2,3,7},{4,5,6},{8}}=>1
[6,3,8,1,2,4,7,5]=>[6,7,3,2,4,5,8,1]=>{{1,2,4,5,6,7,8},{3}}=>5
[5,2,3,4,8,1,6,7]=>[2,3,4,8,5,1,6,7]=>{{1,2,3,4,6,7,8},{5}}=>3
[3,5,2,4,7,1,6,8]=>[4,3,1,7,5,2,6,8]=>{{1,2,3,4,6,7},{5},{8}}=>2
[5,3,4,8,1,6,2,7]=>[3,6,5,4,2,8,1,7]=>{{1,2,3,5,6,7,8},{4}}=>4
[4,5,3,7,1,6,2,8]=>[5,3,6,4,2,7,1,8]=>{{1,2,3,5,6,7},{4},{8}}=>3
[1,5,7,4,2,8,6,3]=>[1,5,4,8,3,7,2,6]=>{{1},{2,3,4,5,6,7,8}}=>0
[1,4,3,7,8,6,2,5]=>[1,3,7,4,6,8,5,2]=>{{1},{2,3,5,6,7,8},{4}}=>4
[4,5,2,7,1,8,6,3]=>[8,5,1,4,3,7,2,6]=>{{1,2,3,5,6,7,8},{4}}=>4
[8,4,6,7,5,2,3,1]=>[4,7,6,5,8,2,1,3]=>{{1,2,3,4,5,6,7,8}}=>0
[6,4,2,5,3,1,8,7]=>[4,6,1,5,2,3,8,7]=>{{1,2,3,4,5,6},{7,8}}=>0
[6,4,2,5,3,8,7,1]=>[4,7,1,5,2,6,8,3]=>{{1,2,3,4,5,7,8},{6}}=>2
[8,6,4,7,5,2,3,1]=>[4,6,7,5,8,2,1,3]=>{{1,3,4,5,7,8},{2,6}}=>2
[6,4,2,5,8,7,3,1]=>[4,8,1,6,5,7,2,3]=>{{1,2,3,4,6,7,8},{5}}=>3
[6,8,4,7,5,2,3,1]=>[6,4,7,5,8,2,1,3]=>{{1,2,3,4,5,6,7,8}}=>0
[6,8,2,7,4,5,3,1]=>[8,6,1,7,2,3,4,5]=>{{1,2,3,5,6,8},{4,7}}=>1
[8,6,7,2,4,5,3,1]=>[6,8,7,2,1,3,4,5]=>{{1,2,3,4,5,6,7,8}}=>0
[6,4,5,2,8,7,3,1]=>[4,8,6,2,5,7,1,3]=>{{1,2,3,4,6,7,8},{5}}=>3
[6,4,5,8,7,2,3,1]=>[5,8,7,4,6,2,1,3]=>{{1,2,3,5,6,7,8},{4}}=>4
[2,4,8,6,7,5,3,1]=>[8,2,4,6,7,1,3,5]=>{{1,3,4,5,6,7,8},{2}}=>6
[4,2,8,6,7,5,3,1]=>[2,8,4,6,7,1,3,5]=>{{1,2,3,4,5,6,7,8}}=>0
[8,2,6,4,7,5,3,1]=>[2,4,6,8,7,1,3,5]=>{{1,2,3,4,5,6,7,8}}=>0
[6,4,8,2,7,5,3,1]=>[6,8,4,2,7,1,3,5]=>{{1,6},{2,3,4,5,7,8}}=>0
[2,1,8,6,4,7,5,3]=>[2,1,6,8,3,7,4,5]=>{{1,2},{3,4,5,6,7,8}}=>0
[2,8,6,4,7,5,3,1]=>[4,2,6,8,7,1,3,5]=>{{1,3,4,5,6,7,8},{2}}=>6
[4,8,6,2,7,5,3,1]=>[8,4,6,2,7,1,3,5]=>{{1,3,5,6,7,8},{2,4}}=>4
[8,5,2,1,4,7,6,3]=>[5,7,1,3,2,8,4,6]=>{{1,2,3,4,5,7},{6,8}}=>0
[5,7,8,2,6,3,4,1]=>[8,6,5,2,7,3,1,4]=>{{1,2,3,4,5,6,7,8}}=>0
[6,3,1,7,8,4,5,2]=>[3,8,2,7,6,4,1,5]=>{{1,2,3,4,5,6,7,8}}=>0
[1,8,4,6,7,3,5,2]=>[1,4,8,6,7,3,2,5]=>{{1},{2,3,4,5,6,7,8}}=>0
[8,1,2,4,6,7,3,5]=>[4,1,2,6,8,7,5,3]=>{{1,2,3,4,5,6,7,8}}=>0
[5,2,3,7,4,8,6,1]=>[2,3,8,5,1,7,4,6]=>{{1,2,3,4,5,6,7,8}}=>0
[5,2,6,8,4,3,1,7]=>[2,8,6,5,1,3,4,7]=>{{1,2,4,5,7,8},{3,6}}=>2
[8,3,1,7,4,2,5,6]=>[3,7,2,8,1,5,6,4]=>{{1,2,3,5,6,7},{4,8}}=>0
[3,6,4,2,8,5,7,1]=>[7,3,4,1,6,2,8,5]=>{{1,2,3,4,5,6,7,8}}=>0
[3,2,8,1,4,6,5,7]=>[2,6,3,1,4,8,5,7]=>{{1,2,4,5,6,7,8},{3}}=>5
[3,1,6,8,4,7,2,5]=>[8,1,3,6,2,7,5,4]=>{{1,2,4,5,6,7,8},{3}}=>5
[4,6,1,8,3,2,7,5]=>[7,6,2,4,1,5,8,3]=>{{1,2,3,5,6,7,8},{4}}=>4
[4,5,2,1,8,3,7,6]=>[7,4,1,3,5,2,8,6]=>{{1,2,3,4,6,7,8},{5}}=>3
[4,6,2,8,1,3,7,5]=>[7,6,1,4,3,5,8,2]=>{{1,2,3,5,6,7,8},{4}}=>4
[3,6,2,8,4,7,1,5]=>[8,3,1,6,2,7,5,4]=>{{1,2,3,4,5,6,7,8}}=>0
[3,2,6,8,4,7,1,5]=>[2,8,3,6,1,7,5,4]=>{{1,2,4,5,6,7,8},{3}}=>5
[4,2,5,3,8,1,7,6]=>[2,7,4,1,5,3,8,6]=>{{1,2,3,4,6,7,8},{5}}=>3
[3,5,2,4,8,7,1,6]=>[4,3,1,7,5,8,6,2]=>{{1,2,3,4,6,7,8},{5}}=>3
[4,5,3,1,8,2,7,6]=>[4,3,7,2,5,1,8,6]=>{{1,2,3,4,6,7,8},{5}}=>3
[8,2,1,6,3,4,5,7]=>[2,6,1,8,4,5,3,7]=>{{1,2,3,4,5,6,7,8}}=>0
[8,6,2,1,3,5,4,7]=>[6,8,1,3,4,2,5,7]=>{{1,2,3,4,5,6,7,8}}=>0
[8,1,2,3,4,6,5,7]=>[6,1,2,3,4,8,5,7]=>{{1,2,3,4,5,6,7,8}}=>0
[1,5,6,7,3,4,8,2]=>[1,8,6,5,3,2,7,4]=>{{1},{2,3,4,5,6,8},{7}}=>1
[6,7,8,2,1,4,5,3]=>[8,7,6,2,4,3,1,5]=>{{1,2,4,5,7,8},{3,6}}=>2
[8,4,7,6,2,1,3,5]=>[4,8,6,7,2,5,3,1]=>{{1,2,3,4,5,6,7,8}}=>0
[8,1,3,7,6,4,2,5]=>[3,1,6,7,8,4,5,2]=>{{1,2,3,4,5,6,7,8}}=>0
[6,2,8,5,3,1,7,4]=>[2,6,5,7,3,4,8,1]=>{{1,2,4,6,7,8},{3,5}}=>3
[3,4,2,8,5,1,7,6]=>[5,3,1,4,7,2,8,6]=>{{1,2,3,5,6,7,8},{4}}=>4
[8,3,7,4,2,5,6,1]=>[3,7,4,8,1,2,5,6]=>{{1,2,3,4,5,6,7,8}}=>0
[8,4,6,3,7,1,5,2]=>[4,8,6,1,7,5,2,3]=>{{1,4},{2,3,5,6,7,8}}=>0
[6,8,3,4,1,5,7,2]=>[4,3,6,7,2,1,8,5]=>{{1,2,3,4,5,6,7,8}}=>0
[2,8,5,6,7,1,3,4]=>[5,2,8,7,6,4,3,1]=>{{1,3,4,5,6,7,8},{2}}=>6
[4,2,8,3,1,5,6,7]=>[2,8,4,1,3,5,6,7]=>{{1,2,3,4,5,6,7,8}}=>0
[4,2,1,8,7,5,6,3]=>[2,7,1,4,8,3,5,6]=>{{1,2,3,5,6,7,8},{4}}=>4
[1,6,5,3,8,4,2,7]=>[1,6,8,2,5,3,4,7]=>{{1},{2,3,4,6,7,8},{5}}=>3
[5,7,4,8,3,6,2,1]=>[6,5,7,4,1,8,2,3]=>{{1,2,3,5,6,7,8},{4}}=>4
[1,8,3,2,4,7,5,6]=>[1,3,7,2,4,8,6,5]=>{{1},{2,3,4,5,6,7,8}}=>0
[8,2,1,3,4,5,7,6]=>[2,7,1,3,4,5,8,6]=>{{1,2,3,4,5,6,7,8}}=>0
[7,3,8,5,1,4,2,6]=>[5,7,3,8,4,1,6,2]=>{{1,2,4,5,6,7,8},{3}}=>5
[3,8,1,5,7,4,6,2]=>[5,3,2,8,7,1,4,6]=>{{1,4,5,6,7,8},{2,3}}=>5
[4,8,5,7,3,1,6,2]=>[8,4,7,5,1,3,2,6]=>{{1,2,3,4,5,6,7,8}}=>0
[4,7,8,3,1,6,5,2]=>[7,6,4,1,3,8,2,5]=>{{1,2,3,4,5,6,7,8}}=>0
[8,7,5,3,6,4,2,1]=>[5,6,8,1,7,2,3,4]=>{{1,3,4,5,7,8},{2,6}}=>2
[6,3,2,4,8,7,5,1]=>[3,4,1,8,6,7,2,5]=>{{1,3},{2,4,5,6,7,8}}=>0
[3,7,2,4,6,1,8,5]=>[4,3,1,6,8,5,7,2]=>{{1,2,3,4,5,6,8},{7}}=>1
[6,2,1,3,8,7,5,4]=>[2,8,1,3,6,7,4,5]=>{{1,2,3,4,5,6,7,8}}=>0
[2,7,6,8,1,5,4,3]=>[7,2,8,6,4,1,3,5]=>{{1,3,4,5,6,7,8},{2}}=>6
[7,8,5,1,6,2,4,3]=>[6,5,8,3,7,4,1,2]=>{{1,2,3,4,5,6,7,8}}=>0
[7,4,8,6,1,2,5,3]=>[6,8,4,7,3,5,1,2]=>{{1,3,4,5,6,7},{2,8}}=>0
[5,7,4,6,3,1,8,2]=>[6,4,8,5,1,3,7,2]=>{{1,2,3,4,5,6,8},{7}}=>1
[5,4,2,7,3,1,6,8]=>[5,7,1,4,2,3,6,8]=>{{1,2,3,5,6,7},{4},{8}}=>3
[4,6,1,3,8,5,2,7]=>[8,4,2,1,6,3,5,7]=>{{1,2,3,4,5,6,7,8}}=>0
[1,3,8,4,5,7,2,6]=>[1,4,3,5,7,8,6,2]=>{{1},{2,4,5,6,7,8},{3}}=>5
[2,6,8,4,3,5,1,7]=>[6,2,4,8,1,3,5,7]=>{{1,3,4,5,6,7,8},{2}}=>6
[4,6,1,3,7,2,5,8]=>[7,4,2,1,6,5,3,8]=>{{1,2,3,4,7},{5,6},{8}}=>1
[7,5,8,6,2,1,3,4]=>[6,8,5,7,3,4,2,1]=>{{1,2,4,6,7,8},{3,5}}=>3
[7,4,2,3,6,1,8,5]=>[4,6,1,2,8,5,7,3]=>{{1,2,3,4,5,6,8},{7}}=>1
[7,3,8,4,1,2,6,5]=>[4,7,3,8,2,5,1,6]=>{{1,2,4,5,6,7,8},{3}}=>5
[7,4,2,5,8,1,6,3]=>[4,8,1,7,5,3,2,6]=>{{1,2,3,4,6,7,8},{5}}=>3
[2,7,8,3,4,5,1,6]=>[8,2,7,1,3,4,6,5]=>{{1,3,4,5,6,7,8},{2}}=>6
[7,5,6,8,2,1,4,3]=>[6,8,7,5,3,4,1,2]=>{{1,3,4,5,6,7},{2,8}}=>0
[1,7,2,3,5,6,8,4]=>[1,5,2,3,6,8,7,4]=>{{1},{2,3,4,5,6,8},{7}}=>1
[3,7,4,2,1,5,6,8]=>[7,3,4,1,2,5,6,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[3,4,6,2,8,5,7,1]=>[7,4,3,1,6,2,8,5]=>{{1,2,4,5,6,7,8},{3}}=>5
[4,7,1,6,5,2,8,3]=>[6,4,2,5,8,3,7,1]=>{{1,2,3,4,5,6,8},{7}}=>1
[3,8,1,4,2,6,5,7]=>[4,3,2,6,1,8,5,7]=>{{1,4,5,6,7,8},{2,3}}=>5
[4,1,7,3,6,2,5,8]=>[6,1,4,2,7,5,3,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[5,8,7,6,2,1,3,4]=>[8,5,6,7,3,4,2,1]=>{{1,8},{2,3,4,5,6,7}}=>1
[4,2,7,3,6,1,8,5]=>[2,6,4,1,8,5,7,3]=>{{1,2,3,4,5,6,8},{7}}=>1
[3,8,2,4,5,6,7,1]=>[4,3,1,5,6,7,8,2]=>{{1,2,3,4,5,6,7,8}}=>0
[3,8,2,4,1,6,7,5]=>[4,3,1,6,2,7,8,5]=>{{1,2,3,4,5,6,7,8}}=>0
[2,8,6,5,3,7,1,4]=>[5,2,6,8,3,7,4,1]=>{{1,3,4,5,6,7,8},{2}}=>6
[3,8,2,1,4,6,7,5]=>[6,3,1,2,4,7,8,5]=>{{1,2,3,4,5,6,7,8}}=>0
[4,2,7,5,6,3,8,1]=>[2,8,4,5,6,1,7,3]=>{{1,2,3,4,5,6,8},{7}}=>1
[3,8,1,2,4,6,5,7]=>[6,3,2,1,4,8,5,7]=>{{1,4,5,6,7,8},{2,3}}=>5
[3,8,1,5,2,6,4,7]=>[5,3,2,6,4,8,1,7]=>{{1,4,5,6,7,8},{2,3}}=>5
[4,7,5,6,1,3,8,2]=>[8,4,6,5,3,1,7,2]=>{{1,2,3,4,5,6,8},{7}}=>1
[8,7,5,3,4,1,6,2]=>[5,7,8,1,2,4,3,6]=>{{1,2,3,4,5,6,7,8}}=>0
[6,7,1,3,8,4,2,5]=>[8,7,2,1,6,4,5,3]=>{{1,2,3,4,5,6,7,8}}=>0
[3,2,8,6,7,1,4,5]=>[2,6,3,8,7,5,4,1]=>{{1,2,4,5,6,7,8},{3}}=>5
[3,6,8,5,1,2,4,7]=>[6,5,3,8,4,2,1,7]=>{{1,2,4,5,6,7,8},{3}}=>5
[3,7,5,1,8,2,6,4]=>[8,3,7,2,5,4,1,6]=>{{1,2,3,4,6,7,8},{5}}=>3
[6,1,7,8,2,5,3,4]=>[8,1,7,6,4,2,5,3]=>{{1,2,3,4,5,6,7,8}}=>0
[3,6,4,8,5,1,2,7]=>[6,3,5,4,8,2,1,7]=>{{1,2,3,5,6,7,8},{4}}=>4
[7,4,3,8,2,6,5,1]=>[3,6,7,4,1,8,2,5]=>{{1,2,3,5,6,7,8},{4}}=>4
[8,7,1,3,5,4,6,2]=>[5,7,2,1,8,3,4,6]=>{{1,2,3,4,5,6,7,8}}=>0
[7,6,8,3,1,4,5,2]=>[7,8,6,1,4,3,2,5]=>{{1,2,4,5,7,8},{3,6}}=>2
[5,8,2,6,3,1,4,7]=>[8,5,1,6,3,4,2,7]=>{{1,2,3,5,7,8},{4,6}}=>2
[7,8,2,3,4,6,5,1]=>[7,6,1,2,3,8,4,5]=>{{1,2,3,4,5,6,7,8}}=>0
[8,1,7,2,4,5,3,6]=>[7,1,8,3,2,4,6,5]=>{{1,2,3,4,5,6,7,8}}=>0
[8,1,5,3,4,2,6,7]=>[5,1,8,2,3,4,6,7]=>{{1,2,3,4,5,6,7,8}}=>0
[7,6,1,2,4,5,3,8]=>[6,7,2,3,1,4,5,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[4,7,1,3,5,2,6,8]=>[5,4,2,1,7,3,6,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[4,7,1,5,3,2,6,8]=>[7,4,2,5,1,3,6,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[5,7,1,4,2,6,3,8]=>[5,4,2,6,3,7,1,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[5,6,3,1,2,7,4,8]=>[5,3,7,2,4,6,1,8]=>{{1,2,3,4,5,7},{6},{8}}=>1
[6,8,5,2,3,4,1,7]=>[6,5,8,2,3,1,4,7]=>{{1,6},{2,3,4,5,7,8}}=>0
[8,5,6,2,7,1,4,3]=>[5,8,7,2,6,4,1,3]=>{{1,2,3,4,5,6,7,8}}=>0
[7,6,2,4,5,3,8,1]=>[4,5,1,6,8,2,7,3]=>{{1,2,3,4,5,6,8},{7}}=>1
[8,5,2,7,1,6,4,3]=>[5,7,1,6,4,8,2,3]=>{{1,3,4,5,6,8},{2,7}}=>1
[5,8,6,4,1,2,7,3]=>[6,4,5,7,3,2,8,1]=>{{1,2,4,6,7,8},{3,5}}=>3
[5,8,6,1,7,2,4,3]=>[8,5,7,3,6,4,1,2]=>{{1,2,3,4,5,6,7,8}}=>0
[8,1,7,2,5,6,3,4]=>[5,1,6,3,7,8,4,2]=>{{1,2,3,4,5,6,7,8}}=>0
[6,8,7,2,5,1,3,4]=>[7,5,6,2,8,4,3,1]=>{{1,2,3,4,5,6,7,8}}=>0
[6,1,7,8,5,2,3,4]=>[7,1,6,5,8,4,3,2]=>{{1,2,3,4,5,6,7,8}}=>0
[7,5,6,2,1,8,4,3]=>[5,8,7,2,4,6,1,3]=>{{1,2,3,4,5,7,8},{6}}=>2
[8,4,3,1,2,6,7,5]=>[3,4,6,2,1,7,8,5]=>{{1,3,5,6,7,8},{2,4}}=>4
[5,6,8,3,1,2,7,4]=>[7,6,5,1,4,3,8,2]=>{{1,2,3,4,5,6,7,8}}=>0
[6,7,8,3,5,1,2,4]=>[7,6,5,1,8,4,3,2]=>{{1,2,3,4,5,6,7,8}}=>0
[5,8,2,4,3,6,7,1]=>[5,4,1,6,2,7,8,3]=>{{1,2,3,4,5,6,7,8}}=>0
[6,8,2,3,5,1,7,4]=>[6,5,1,2,7,4,8,3]=>{{1,2,3,4,5,6,7,8}}=>0
[7,5,1,8,2,4,6,3]=>[7,8,2,5,4,1,3,6]=>{{1,2,3,6,7,8},{4,5}}=>3
[4,1,7,6,3,8,2,5]=>[8,1,4,7,2,6,5,3]=>{{1,2,3,4,5,7,8},{6}}=>2
[4,8,2,5,7,6,3,1]=>[7,4,1,5,6,8,2,3]=>{{1,2,3,4,5,6,7,8}}=>0
[6,2,3,5,1,4,8,7]=>[2,3,5,6,4,1,8,7]=>{{1,2,3,4,5,6},{7,8}}=>0
[6,2,5,1,8,3,4,7]=>[2,6,8,3,5,4,1,7]=>{{1,2,3,4,6,7,8},{5}}=>3
[7,6,5,2,8,3,4,1]=>[6,7,8,2,5,3,1,4]=>{{1,2,3,4,6,7,8},{5}}=>3
[8,1,3,5,7,4,6,2]=>[3,1,5,8,7,2,4,6]=>{{1,2,3,4,5,6,7,8}}=>0
[2,5,1,8,6,7,4,3]=>[8,2,1,5,6,7,3,4]=>{{1,3,4,5,6,7,8},{2}}=>6
[3,5,1,8,6,7,4,2]=>[8,3,2,5,6,7,1,4]=>{{1,4,5,6,7,8},{2,3}}=>5
[5,2,3,8,6,7,4,1]=>[2,3,8,5,6,7,1,4]=>{{1,2,3,4,5,6,7,8}}=>0
[5,1,3,8,6,7,4,2]=>[3,1,8,5,6,7,2,4]=>{{1,2,3,4,5,6,7,8}}=>0
[3,2,5,8,6,7,4,1]=>[2,8,3,5,6,7,1,4]=>{{1,2,4,5,6,7,8},{3}}=>5
[8,1,6,3,5,2,7,4]=>[5,1,6,2,7,4,8,3]=>{{1,2,3,4,5,6,7,8}}=>0
[8,1,3,7,5,2,6,4]=>[3,1,5,7,8,4,2,6]=>{{1,2,3,4,5,6,7,8}}=>0
[7,1,5,8,2,6,4,3]=>[6,1,7,5,4,8,2,3]=>{{1,2,3,6,7,8},{4,5}}=>3
[4,5,8,2,6,7,3,1]=>[8,5,4,2,6,7,1,3]=>{{1,2,3,4,5,6,7,8}}=>0
[4,2,8,1,6,7,3,5]=>[2,6,4,3,8,7,5,1]=>{{1,2,5,6,7,8},{3,4}}=>4
[3,4,8,7,2,1,5,6]=>[8,4,3,7,1,5,6,2]=>{{1,2,4,5,6,7,8},{3}}=>5
[3,8,1,4,6,7,2,5]=>[4,3,2,6,8,7,5,1]=>{{1,4,5,6,7,8},{2,3}}=>5
[8,2,3,4,6,7,1,5]=>[2,3,4,6,8,7,5,1]=>{{1,2,3,4,5,6,7,8}}=>0
[6,2,7,3,8,4,1,5]=>[2,8,7,1,6,4,5,3]=>{{1,2,3,4,5,6,7,8}}=>0
[7,4,3,2,8,5,1,6]=>[3,4,8,1,7,2,6,5]=>{{1,2,3,4,5,6,7,8}}=>0
[8,3,6,2,5,4,1,7]=>[3,6,5,1,8,2,4,7]=>{{1,3,4,5,7,8},{2,6}}=>2
[5,8,3,6,4,2,1,7]=>[5,3,8,6,1,2,4,7]=>{{1,5},{2,3,4,6,7,8}}=>0
[1,5,3,2,8,4,7,6]=>[1,3,7,2,5,4,8,6]=>{{1},{2,3,4,6,7,8},{5}}=>3
[5,7,4,3,1,2,6,8]=>[5,4,7,1,3,2,6,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[2,8,7,3,5,1,4,6]=>[5,2,7,1,8,4,6,3]=>{{1,3,4,5,6,7,8},{2}}=>6
[2,1,7,4,3,8,6,5]=>[2,1,4,8,3,7,5,6]=>{{1,2},{3,4,5,6,7,8}}=>0
[5,1,3,2,8,7,4,6]=>[3,1,7,2,5,8,6,4]=>{{1,2,3,4,6,7,8},{5}}=>3
[8,3,1,6,7,2,5,4]=>[3,6,2,8,7,5,1,4]=>{{1,2,3,5,6,7},{4,8}}=>0
[3,7,6,1,5,2,4,8]=>[6,3,5,2,7,4,1,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[4,6,8,2,5,1,3,7]=>[6,5,4,2,8,3,1,7]=>{{1,2,3,4,5,6,7,8}}=>0
[7,4,6,2,1,5,3,8]=>[4,7,6,2,3,1,5,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[1,2,6,3,8,5,7,4]=>[1,2,7,3,6,4,8,5]=>{{1},{2},{3,4,5,6,7,8}}=>0
[7,4,8,5,1,6,3,2]=>[5,7,4,6,3,8,1,2]=>{{1,2,3,4,5,6,7,8}}=>0
[7,6,4,1,8,5,2,3]=>[4,7,8,3,6,1,5,2]=>{{1,2,3,4,5,6,7,8}}=>0
[1,3,8,7,6,2,5,4]=>[1,6,3,7,8,5,2,4]=>{{1},{2,4,5,6,7,8},{3}}=>5
[1,7,4,5,2,3,6,8]=>[1,4,7,5,3,2,6,8]=>{{1},{2,3,4,5,6,7},{8}}=>0
[1,7,3,4,2,5,6,8]=>[1,3,4,7,2,5,6,8]=>{{1},{2,3,4,5,6,7},{8}}=>0
[1,8,6,7,3,4,2,5]=>[1,6,8,7,3,4,5,2]=>{{1},{2,3,4,5,6,7,8}}=>0
[1,8,5,7,3,4,2,6]=>[1,5,8,7,3,2,6,4]=>{{1},{2,3,4,5,6,7,8}}=>0
[1,7,3,4,2,6,5,8]=>[1,3,4,6,2,7,5,8]=>{{1},{2,3,4,5,6,7},{8}}=>0
[1,5,2,8,4,7,3,6]=>[1,7,2,5,3,8,6,4]=>{{1},{2,3,4,5,6,7,8}}=>0
[1,4,2,8,5,7,3,6]=>[1,5,2,4,7,8,6,3]=>{{1},{2,3,5,6,7,8},{4}}=>4
[1,7,3,5,2,6,4,8]=>[1,3,5,6,4,7,2,8]=>{{1},{2,3,4,5,6,7},{8}}=>0
[1,8,4,7,3,5,2,6]=>[1,4,8,7,2,3,6,5]=>{{1},{2,3,4,5,6,7,8}}=>0
[1,8,5,6,2,3,4,7]=>[1,5,8,6,4,3,2,7]=>{{1},{2,3,4,5,6,7,8}}=>0
[1,4,2,8,5,6,3,7]=>[1,5,2,4,6,8,3,7]=>{{1},{2,3,5,6,7,8},{4}}=>4
[1,5,2,8,4,6,3,7]=>[1,6,2,5,3,8,4,7]=>{{1},{2,3,4,5,6,7,8}}=>0
[8,1,2,4,5,3,6,7]=>[4,1,2,5,8,3,6,7]=>{{1,2,3,4,5,6,7,8}}=>0
[8,4,6,2,3,5,1,7]=>[4,8,6,2,1,3,5,7]=>{{1,2,4,5,7,8},{3,6}}=>2
[5,4,8,2,3,6,1,7]=>[5,6,4,2,1,8,3,7]=>{{1,5},{2,3,4,6,7,8}}=>0
[7,4,8,5,2,3,1,6]=>[5,8,4,7,2,1,6,3]=>{{1,2,3,4,5,6,7,8}}=>0
[3,8,6,2,4,5,1,7]=>[8,3,6,1,2,4,5,7]=>{{1,2,3,4,5,6,7,8}}=>0
[1,7,5,3,4,8,2,6]=>[1,5,8,2,3,7,6,4]=>{{1},{2,3,4,5,8},{6,7}}=>1
[5,8,7,4,1,2,3,6]=>[7,4,5,8,3,2,6,1]=>{{1,2,4,6,7,8},{3,5}}=>3
[6,8,3,7,2,1,4,5]=>[6,3,8,7,2,5,4,1]=>{{1,2,3,5,6,8},{4,7}}=>1
[4,1,7,3,5,8,2,6]=>[5,1,4,2,8,7,6,3]=>{{1,2,3,4,5,8},{6,7}}=>1
[1,8,5,7,2,3,4,6]=>[1,5,8,7,4,3,6,2]=>{{1},{2,3,4,5,6,7,8}}=>0
[5,1,7,3,8,2,4,6]=>[8,1,7,2,5,4,6,3]=>{{1,2,3,4,6,7,8},{5}}=>3
[7,4,8,6,1,2,3,5]=>[6,8,4,7,3,5,2,1]=>{{1,2,3,4,5,6,7,8}}=>0
[3,8,7,5,1,2,4,6]=>[7,3,5,8,4,2,6,1]=>{{1,2,3,4,5,6,7,8}}=>0
[6,5,8,4,1,2,3,7]=>[5,6,4,8,3,2,1,7]=>{{1,3,4,5,7,8},{2,6}}=>2
[7,6,4,8,2,1,3,5]=>[6,7,8,4,2,5,3,1]=>{{1,2,3,5,6,7,8},{4}}=>4
[7,6,2,3,8,1,4,5]=>[7,8,1,2,6,5,4,3]=>{{1,2,3,4,7,8},{5,6}}=>2
[7,4,8,5,1,6,2,3]=>[5,7,4,6,3,8,2,1]=>{{1,3,4,5,6,8},{2,7}}=>1
[8,6,2,3,1,7,4,5]=>[6,8,1,2,4,7,5,3]=>{{1,2,3,4,5,6,7,8}}=>0
[1,7,2,8,6,3,4,5]=>[1,7,2,6,8,5,4,3]=>{{1},{2,3,4,5,6,7,8}}=>0
[5,4,1,8,2,3,6,7]=>[5,8,2,4,3,1,6,7]=>{{1,2,3,5,6,7,8},{4}}=>4
[5,7,1,3,8,2,4,6]=>[8,7,2,1,5,4,6,3]=>{{1,2,3,4,6,7,8},{5}}=>3
[7,6,8,1,5,2,3,4]=>[6,7,5,3,8,4,2,1]=>{{1,3,4,5,6,8},{2,7}}=>1
[7,1,5,8,6,2,3,4]=>[6,1,8,5,7,4,3,2]=>{{1,2,3,4,5,6,7,8}}=>0
[1,8,7,6,4,5,3,2]=>[1,6,7,8,2,3,4,5]=>{{1},{2,3,4,5,6,7,8}}=>0
[9,8,7,6,4,5,3,2,1,10]=>[6,7,8,9,1,2,3,4,5,10]=>{{1,2,3,4,5,6,7,8,9},{10}}=>0
[6,4,2,3,8,5,7,1]=>[4,7,1,2,6,3,8,5]=>{{1,2,3,4,5,6,7,8}}=>0
[5,4,7,3,6,8,2,1]=>[5,8,4,1,7,6,2,3]=>{{1,2,3,4,5,7,8},{6}}=>2
[4,8,3,2,5,6,1,7]=>[4,3,5,1,6,8,2,7]=>{{1,4},{2,3,5,6,7,8}}=>0
[4,8,3,1,2,6,5,7]=>[4,3,6,2,1,8,5,7]=>{{1,2,3,4,5,6,7,8}}=>0
[5,8,3,4,2,6,7,1]=>[4,3,5,6,1,7,8,2]=>{{1,2,3,4,5,6,7,8}}=>0
[5,4,7,3,6,2,8,1]=>[5,8,4,1,6,2,7,3]=>{{1,2,3,4,5,6,8},{7}}=>1
[6,4,3,7,5,1,2,8]=>[3,5,6,4,7,2,1,8]=>{{1,2,3,5,6,7},{4},{8}}=>3
[5,4,7,3,6,2,1,8]=>[5,7,4,1,6,2,3,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[8,4,3,7,5,2,6,1]=>[3,4,7,5,8,1,2,6]=>{{1,2,3,4,5,6,7,8}}=>0
[5,2,3,8,4,1,6,7]=>[2,3,8,5,1,4,6,7]=>{{1,2,3,4,5,6,7,8}}=>0
[5,3,2,8,6,4,1,7]=>[3,8,1,5,6,2,4,7]=>{{1,3},{2,4,5,6,7,8}}=>0
[8,7,5,3,6,2,4,1]=>[5,6,8,1,7,3,2,4]=>{{1,2,3,4,5,6,7,8}}=>0
[8,6,5,3,7,2,4,1]=>[5,7,8,1,6,3,2,4]=>{{1,3,4,5,6,8},{2,7}}=>1
[7,4,6,3,8,2,5,1]=>[4,8,7,1,6,3,2,5]=>{{1,4},{2,3,5,6,7,8}}=>0
[7,5,6,3,8,2,4,1]=>[6,8,7,1,5,3,2,4]=>{{1,2,3,4,6,7,8},{5}}=>3
[8,5,7,3,4,2,6,1]=>[5,8,7,1,2,3,4,6]=>{{1,2,3,4,5,6,7,8}}=>0
[7,5,8,4,3,2,6,1]=>[5,7,4,8,1,2,3,6]=>{{1,5},{2,3,4,6,7,8}}=>0
[6,5,8,3,4,2,7,1]=>[6,7,5,1,2,3,8,4]=>{{1,2,3,4,5,6,7,8}}=>0
[6,4,8,3,5,2,7,1]=>[5,6,4,1,7,2,8,3]=>{{1,3,4,5,7,8},{2,6}}=>2
[6,4,7,3,8,2,5,1]=>[7,8,4,1,6,3,2,5]=>{{1,2,3,4,5,6,7,8}}=>0
[5,4,6,3,8,2,7,1]=>[6,7,4,1,5,2,8,3]=>{{1,2,3,4,6,7,8},{5}}=>3
[4,2,1,6,8,5,7,3]=>[2,7,1,4,6,3,8,5]=>{{1,2,3,5,6,7,8},{4}}=>4
[4,2,1,6,8,5,3,7]=>[2,8,1,4,6,3,5,7]=>{{1,2,3,5,6,7,8},{4}}=>4
[5,2,6,1,8,4,3,7]=>[2,8,6,3,5,1,4,7]=>{{1,2,3,4,6,7,8},{5}}=>3
[5,2,7,1,8,3,6,4]=>[2,8,7,3,5,4,1,6]=>{{1,2,3,4,6,7,8},{5}}=>3
[7,3,8,6,2,4,5,1]=>[6,7,3,8,2,4,1,5]=>{{1,2,4,5,6,7,8},{3}}=>5
[7,3,8,5,2,4,6,1]=>[5,7,3,8,2,1,4,6]=>{{1,2,4,5,6,7,8},{3}}=>5
[7,3,8,4,5,6,2,1]=>[4,5,3,6,7,8,1,2]=>{{1,2,4,5,6,7,8},{3}}=>5
[6,4,3,8,1,5,2,7]=>[3,6,8,4,2,1,5,7]=>{{1,2,3,5,6,7,8},{4}}=>4
[5,3,8,2,4,6,7,1]=>[5,6,3,1,2,7,8,4]=>{{1,2,4,5,6,7,8},{3}}=>5
[5,6,3,8,2,4,7,1]=>[6,3,7,5,2,1,8,4]=>{{1,6},{2,3,4,5,7,8}}=>0
[3,6,4,2,1,5,8,7]=>[6,3,4,1,2,5,8,7]=>{{1,2,3,4,5,6},{7,8}}=>0
[3,5,8,6,4,2,1,7]=>[8,5,3,6,1,2,4,7]=>{{1,2,4,5,6,7,8},{3}}=>5
[5,6,3,4,2,1,8,7]=>[4,3,5,6,1,2,8,7]=>{{1,2,3,4,5,6},{7,8}}=>0
[5,8,6,4,2,1,3,7]=>[6,4,5,8,2,3,1,7]=>{{1,2,3,4,5,6,7,8}}=>0
[7,6,2,1,8,4,3,5]=>[7,8,1,3,6,4,5,2]=>{{1,3,4,5,6,7},{2,8}}=>0
[3,8,5,6,4,2,1,7]=>[8,3,5,6,1,2,4,7]=>{{1,2,3,4,5,6,7,8}}=>0
[8,5,4,1,7,6,2,3]=>[4,5,7,3,6,8,2,1]=>{{1,2,3,4,5,6,7,8}}=>0
[7,6,2,3,8,5,4,1]=>[7,8,1,2,6,3,4,5]=>{{1,2,3,4,5,6,7,8}}=>0
[2,6,1,8,4,3,7,5]=>[7,2,1,6,3,5,8,4]=>{{1,3,4,5,6,7,8},{2}}=>6
[8,4,2,3,7,5,6,1]=>[4,7,1,2,8,3,5,6]=>{{1,2,3,4,5,6,7,8}}=>0
[8,5,7,6,2,1,4,3]=>[5,8,6,7,3,4,1,2]=>{{1,3,4,5,6,7},{2,8}}=>0
[4,8,5,7,6,2,1,3]=>[8,4,6,5,7,2,3,1]=>{{1,8},{2,3,4,5,6,7}}=>1
[6,5,2,7,8,4,1,3]=>[7,8,1,6,5,2,4,3]=>{{1,2,3,4,6,7,8},{5}}=>3
[1,7,6,3,4,2,8,5]=>[1,6,8,2,3,5,7,4]=>{{1},{2,3,4,5,6,8},{7}}=>1
[1,8,6,3,2,5,7,4]=>[1,6,7,2,4,3,8,5]=>{{1},{2,3,4,5,6,7,8}}=>0
[7,1,6,3,2,5,8,4]=>[6,1,8,2,4,3,7,5]=>{{1,2,3,4,5,6,8},{7}}=>1
[5,1,8,3,2,6,7,4]=>[6,1,5,2,4,7,8,3]=>{{1,2,3,4,5,6,7,8}}=>0
[4,8,2,7,1,5,6,3]=>[8,4,1,7,3,2,5,6]=>{{1,2,3,4,5,6,7,8}}=>0
[6,8,7,1,3,4,5,2]=>[8,6,7,3,2,4,1,5]=>{{1,2,3,4,5,6,7,8}}=>0
[1,7,8,2,4,5,6,3]=>[1,8,7,3,2,4,5,6]=>{{1},{2,3,4,5,6,7,8}}=>0
[5,4,2,3,8,1,7,6]=>[4,7,1,2,5,3,8,6]=>{{1,2,3,4,6,7,8},{5}}=>3
[4,6,2,1,5,3,8,7]=>[5,4,1,3,6,2,8,7]=>{{1,2,3,4,5,6},{7,8}}=>0
[1,8,2,3,5,6,7,4]=>[1,5,2,3,6,7,8,4]=>{{1},{2,3,4,5,6,7,8}}=>0
[7,8,1,2,4,5,6,3]=>[8,7,2,3,1,4,5,6]=>{{1,2,3,4,5,6,7,8}}=>0
[5,8,1,3,2,6,7,4]=>[6,5,2,1,4,7,8,3]=>{{1,2,3,4,5,6,7,8}}=>0
[4,8,2,1,3,6,7,5]=>[6,4,1,3,2,7,8,5]=>{{1,2,3,4,5,6,7,8}}=>0
[5,4,8,1,2,3,7,6]=>[5,7,4,3,2,1,8,6]=>{{1,2,5,6,7,8},{3,4}}=>4
[1,4,7,3,6,2,5,8]=>[1,6,4,2,7,5,3,8]=>{{1},{2,3,4,5,6,7},{8}}=>0
[4,1,8,3,7,2,5,6]=>[7,1,4,2,8,5,6,3]=>{{1,2,3,4,5,6,7,8}}=>0
[4,1,8,7,3,2,5,6]=>[8,1,4,7,2,5,6,3]=>{{1,2,3,4,5,6,7,8}}=>0
[4,7,8,1,2,5,3,6]=>[8,7,4,3,2,1,6,5]=>{{1,2,5,6,7,8},{3,4}}=>4
[3,1,7,8,4,2,5,6]=>[8,1,3,7,2,5,6,4]=>{{1,2,4,5,6,7,8},{3}}=>5
[3,7,8,2,6,4,1,5]=>[7,6,3,1,8,4,5,2]=>{{1,2,4,5,6,7,8},{3}}=>5
[4,2,8,6,3,1,7,5]=>[2,7,4,6,1,5,8,3]=>{{1,2,3,4,5,6,7,8}}=>0
[3,7,2,4,8,6,1,5]=>[4,3,1,7,6,8,5,2]=>{{1,2,3,4,5,6,7,8}}=>0
[3,7,6,4,8,2,1,5]=>[7,3,4,8,6,2,5,1]=>{{1,2,3,4,5,6,7,8}}=>0
[2,6,7,3,8,4,1,5]=>[8,2,7,1,6,4,5,3]=>{{1,3,4,5,6,7,8},{2}}=>6
[1,8,2,5,6,3,7,4]=>[1,5,2,7,6,4,8,3]=>{{1},{2,3,4,5,6,7,8}}=>0
[1,2,6,4,8,5,7,3]=>[1,2,4,7,6,3,8,5]=>{{1},{2},{3,4,5,6,7,8}}=>0
[5,1,6,3,8,7,2,4]=>[8,1,6,2,5,7,4,3]=>{{1,2,3,4,6,7,8},{5}}=>3
[6,1,8,7,4,3,2,5]=>[8,1,6,7,2,4,5,3]=>{{1,2,3,4,5,6,7,8}}=>0
[4,1,6,3,7,5,2,8]=>[7,1,4,2,6,3,5,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[1,3,6,7,8,5,2,4]=>[1,8,3,7,6,2,5,4]=>{{1},{2,4,5,6,7,8},{3}}=>5
[7,8,4,1,6,3,2,5]=>[6,4,7,3,8,2,5,1]=>{{1,2,3,4,5,6,7,8}}=>0
[6,5,1,7,4,3,2,8]=>[6,7,2,5,1,3,4,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[4,1,6,8,3,7,2,5]=>[8,1,6,4,2,7,5,3]=>{{1,2,3,5,6,7,8},{4}}=>4
[1,3,5,7,4,8,6,2]=>[1,8,3,5,2,7,4,6]=>{{1},{2,4,5,6,7,8},{3}}=>5
[1,4,7,3,5,2,8,6]=>[1,5,4,2,8,3,7,6]=>{{1},{2,3,4,5,6,8},{7}}=>1
[2,4,7,3,1,8,6,5]=>[8,2,4,1,3,7,5,6]=>{{1,3,4,5,6,7,8},{2}}=>6
[1,4,7,3,8,2,6,5]=>[1,8,4,2,7,5,3,6]=>{{1},{2,3,4,5,6,7,8}}=>0
[3,5,2,6,8,4,7,1]=>[7,3,1,6,5,2,8,4]=>{{1,2,3,4,6,7,8},{5}}=>3
[1,3,6,2,8,7,5,4]=>[1,8,3,2,6,7,4,5]=>{{1},{2,4,5,6,7,8},{3}}=>5
[1,4,6,3,8,7,2,5]=>[1,8,4,2,6,7,5,3]=>{{1},{2,3,4,8},{5,6,7}}=>1
[1,5,7,2,4,8,6,3]=>[1,8,5,3,2,7,4,6]=>{{1},{2,3,4,5,6,7,8}}=>0
[1,4,7,3,8,6,2,5]=>[1,7,4,2,6,8,5,3]=>{{1},{2,3,4,5,6,7,8}}=>0
[3,2,6,7,8,5,1,4]=>[2,8,3,7,6,1,5,4]=>{{1,2,4,5,6,7,8},{3}}=>5
[2,4,7,8,3,1,5,6]=>[8,2,7,4,1,5,6,3]=>{{1,3,5,6,7,8},{2},{4}}=>9
[8,4,6,7,2,3,1,5]=>[4,8,7,6,2,3,5,1]=>{{1,2,3,4,5,6,7,8}}=>0
[7,4,6,8,2,3,1,5]=>[6,8,7,4,2,3,5,1]=>{{1,2,3,5,6,7,8},{4}}=>4
[5,3,8,7,2,4,1,6]=>[5,8,3,7,2,1,6,4]=>{{1,2,4,5,6,7,8},{3}}=>5
[2,4,8,7,3,1,5,6]=>[8,2,4,7,1,5,6,3]=>{{1,3,4,5,6,7,8},{2}}=>6
[3,1,7,4,2,8,6,5]=>[4,1,3,8,2,7,5,6]=>{{1,2,4,5,6,7,8},{3}}=>5
[8,2,3,7,4,1,6,5]=>[2,3,7,8,1,5,4,6]=>{{1,2,3,4,5,6,7,8}}=>0
[6,3,1,7,4,2,8,5]=>[3,8,2,6,1,5,7,4]=>{{1,2,3,4,5,6,8},{7}}=>1
[8,5,7,6,2,3,1,4]=>[5,8,6,7,3,2,4,1]=>{{1,2,3,5,6,8},{4,7}}=>1
[4,6,3,1,5,8,7,2]=>[4,3,5,2,7,6,8,1]=>{{1,2,3,4,5,7,8},{6}}=>2
[4,1,6,5,3,8,7,2]=>[7,1,4,5,2,6,8,3]=>{{1,2,3,4,5,7,8},{6}}=>2
[4,1,6,5,8,3,7,2]=>[7,1,4,6,5,2,8,3]=>{{1,2,3,4,6,7,8},{5}}=>3
[4,1,6,5,8,7,3,2]=>[8,1,4,6,5,7,2,3]=>{{1,2,3,4,6,7,8},{5}}=>3
[6,4,3,8,7,1,5,2]=>[3,6,8,4,7,5,1,2]=>{{1,2,3,5,6,7,8},{4}}=>4
[6,4,8,3,7,1,5,2]=>[6,8,4,1,7,5,2,3]=>{{1,2,3,4,5,6,7,8}}=>0
[4,6,8,3,1,5,7,2]=>[7,6,4,1,3,2,8,5]=>{{1,3,4,5,7,8},{2,6}}=>2
[4,3,1,6,8,5,7,2]=>[3,7,2,4,6,1,8,5]=>{{1,2,3,5,6,7,8},{4}}=>4
[4,3,6,1,8,7,5,2]=>[4,8,3,2,6,7,1,5]=>{{1,2,4,5,6,7,8},{3}}=>5
[6,5,2,8,7,3,1,4]=>[7,8,1,5,6,3,4,2]=>{{1,3,4,5,6,7},{2,8}}=>0
[6,2,5,8,7,3,1,4]=>[2,7,8,5,6,3,4,1]=>{{1,2,3,4,5,6,7,8}}=>0
[4,6,3,1,8,7,5,2]=>[4,3,8,2,6,7,1,5]=>{{1,2,3,4,5,6,7,8}}=>0
[4,1,6,3,8,7,5,2]=>[8,1,4,2,6,7,3,5]=>{{1,2,3,4,5,6,7,8}}=>0
[1,4,6,3,8,7,5,2]=>[1,8,4,2,6,7,3,5]=>{{1},{2,3,4,5,6,7,8}}=>0
[2,4,8,7,1,5,3,6]=>[8,2,4,7,3,1,6,5]=>{{1,3,4,5,6,7,8},{2}}=>6
[1,6,4,8,7,3,5,2]=>[1,6,8,4,7,3,2,5]=>{{1},{2,3,5,6,7,8},{4}}=>4
[4,2,8,7,5,1,3,6]=>[2,7,4,5,8,3,6,1]=>{{1,2,3,4,5,6,7,8}}=>0
[2,3,7,8,4,5,6,1]=>[8,2,3,7,1,4,5,6]=>{{1,4,5,6,7,8},{2},{3}}=>10
[1,7,3,2,8,5,4,6]=>[1,3,8,2,7,4,6,5]=>{{1},{2,3,4,5,6,7,8}}=>0
[6,4,2,5,3,7,1,8]=>[4,7,1,5,2,6,3,8]=>{{1,2,3,4,5,7},{6},{8}}=>1
[3,6,4,8,2,1,5,7]=>[8,3,6,4,1,5,2,7]=>{{1,2,3,5,6,7,8},{4}}=>4
[1,6,2,8,5,3,4,7]=>[1,6,2,5,8,4,3,7]=>{{1},{2,3,4,5,6,7,8}}=>0
[1,5,2,6,8,4,3,7]=>[1,8,2,6,5,3,4,7]=>{{1},{2,3,4,6,7,8},{5}}=>3
[1,5,7,2,8,4,3,6]=>[1,8,7,3,5,2,6,4]=>{{1},{2,3,4,6,7,8},{5}}=>3
[3,5,2,1,8,6,4,7]=>[6,3,1,2,5,8,4,7]=>{{1,2,3,4,6,7,8},{5}}=>3
[1,5,8,2,7,4,3,6]=>[1,8,5,3,7,2,6,4]=>{{1},{2,3,4,5,6,7,8}}=>0
[1,7,2,3,4,8,6,5]=>[1,8,2,3,4,7,5,6]=>{{1},{2,3,4,5,6,7,8}}=>0
[4,1,8,2,3,5,7,6]=>[7,1,4,3,2,5,8,6]=>{{1,2,5,6,7,8},{3,4}}=>4
[7,1,2,3,4,6,8,5]=>[6,1,2,3,4,8,7,5]=>{{1,2,3,4,5,6,8},{7}}=>1
[6,1,2,3,4,8,7,5]=>[7,1,2,3,4,6,8,5]=>{{1,2,3,4,5,7,8},{6}}=>2
[8,1,2,3,4,6,7,5]=>[6,1,2,3,4,7,8,5]=>{{1,2,3,4,5,6,7,8}}=>0
[8,3,2,1,4,5,7,6]=>[3,7,1,2,4,5,8,6]=>{{1,3},{2,4,5,6,7,8}}=>0
[3,8,2,1,5,6,4,7]=>[5,3,1,2,6,8,4,7]=>{{1,2,3,4,5,6,7,8}}=>0
[8,4,1,7,3,5,2,6]=>[4,8,2,7,1,3,6,5]=>{{1,2,3,4,5,6,7,8}}=>0
[3,8,4,6,2,1,5,7]=>[8,3,4,6,1,5,2,7]=>{{1,2,3,4,5,6,7,8}}=>0
[8,4,2,5,3,1,6,7]=>[4,8,1,5,2,3,6,7]=>{{1,2,3,4,5,6,7,8}}=>0
[8,5,2,4,3,1,6,7]=>[4,5,1,8,2,3,6,7]=>{{1,3,4,6,7,8},{2,5}}=>3
[5,1,8,2,7,4,3,6]=>[8,1,5,3,7,2,6,4]=>{{1,2,3,4,5,6,7,8}}=>0
[5,1,7,2,8,4,3,6]=>[8,1,7,3,5,2,6,4]=>{{1,2,3,4,6,7,8},{5}}=>3
[2,7,8,4,3,5,1,6]=>[7,2,4,8,1,3,6,5]=>{{1,3,4,5,6,7,8},{2}}=>6
[7,1,8,3,5,4,2,6]=>[7,1,5,2,8,3,6,4]=>{{1,2,3,4,5,6,7,8}}=>0
[1,7,2,3,4,6,8,5]=>[1,6,2,3,4,8,7,5]=>{{1},{2,3,4,5,6,8},{7}}=>1
[1,6,2,3,4,8,7,5]=>[1,7,2,3,4,6,8,5]=>{{1},{2,3,4,5,7,8},{6}}=>2
[6,7,2,3,4,1,8,5]=>[8,6,1,2,3,5,7,4]=>{{1,2,3,4,5,6,8},{7}}=>1
[5,8,4,2,1,6,7,3]=>[5,4,6,2,3,7,8,1]=>{{1,3,5,6,7,8},{2,4}}=>4
[5,8,4,1,2,6,7,3]=>[5,4,6,3,2,7,8,1]=>{{1,2,3,4,5,6,7,8}}=>0
[4,8,2,5,1,7,6,3]=>[7,4,1,5,3,8,2,6]=>{{1,2,3,4,5,7},{6,8}}=>0
[2,8,7,6,3,1,4,5]=>[6,2,7,8,3,5,4,1]=>{{1,3,4,5,6,7,8},{2}}=>6
[1,8,7,6,2,4,3,5]=>[1,6,7,8,4,3,5,2]=>{{1},{2,3,4,5,6,7,8}}=>0
[2,8,1,4,5,6,7,3]=>[4,2,1,5,6,7,8,3]=>{{1,3,4,5,6,7,8},{2}}=>6
[6,1,2,8,5,7,3,4]=>[6,1,2,5,8,7,4,3]=>{{1,2,3,4,5,6,7,8}}=>0
[6,3,1,8,5,7,2,4]=>[3,6,2,5,8,7,4,1]=>{{1,2,3,4,5,6,7,8}}=>0
[6,1,3,8,5,2,7,4]=>[3,1,6,5,7,4,8,2]=>{{1,2,3,4,5,6,7,8}}=>0
[2,8,7,6,4,3,1,5]=>[6,2,7,8,1,4,5,3]=>{{1,3,4,5,6,7,8},{2}}=>6
[3,8,7,6,1,2,5,4]=>[7,3,6,8,4,5,1,2]=>{{1,7},{2,3,4,5,6,8}}=>0
[4,8,7,6,1,3,2,5]=>[8,4,6,7,3,2,5,1]=>{{1,8},{2,3,4,5,6,7}}=>1
[3,8,7,6,4,1,2,5]=>[7,3,6,8,1,5,4,2]=>{{1,2,3,4,5,6,7,8}}=>0
[5,6,7,2,1,4,8,3]=>[8,6,5,2,4,1,7,3]=>{{1,2,3,4,5,6,8},{7}}=>1
[7,4,8,5,3,1,6,2]=>[5,8,4,7,1,3,2,6]=>{{1,5},{2,3,4,6,7,8}}=>0
[8,3,1,2,4,7,6,5]=>[3,7,2,1,4,8,5,6]=>{{1,2,3,4,5,7},{6,8}}=>0
[3,4,8,6,2,7,1,5]=>[8,4,3,6,1,7,5,2]=>{{1,2,4,5,6,7,8},{3}}=>5
[5,7,2,8,6,4,3,1]=>[8,6,1,5,7,2,3,4]=>{{1,3,4,5,7,8},{2,6}}=>2
[6,1,2,7,5,3,8,4]=>[6,1,2,5,8,4,7,3]=>{{1,2,3,4,5,6,8},{7}}=>1
[8,1,6,3,5,7,2,4]=>[5,1,6,2,8,7,4,3]=>{{1,2,3,4,5,6,7,8}}=>0
[2,8,6,4,3,7,1,5]=>[4,2,6,8,1,7,5,3]=>{{1,3,4,5,6,7,8},{2}}=>6
[2,6,8,1,7,5,4,3]=>[8,2,6,3,7,1,4,5]=>{{1,3,4,5,6,7,8},{2}}=>6
[5,6,8,4,1,2,7,3]=>[6,5,4,7,3,2,8,1]=>{{1,2,3,4,5,6,7,8}}=>0
[7,1,4,8,3,2,6,5]=>[7,1,8,4,2,5,3,6]=>{{1,2,3,5,6,7,8},{4}}=>4
[1,6,2,8,7,5,4,3]=>[1,8,2,6,7,3,4,5]=>{{1},{2,3,4,5,6,7,8}}=>0
[3,1,5,8,7,2,6,4]=>[8,1,3,5,7,4,2,6]=>{{1,2,4,5,6,7,8},{3}}=>5
[7,6,1,4,8,2,5,3]=>[4,7,2,8,6,5,1,3]=>{{1,2,3,4,7,8},{5,6}}=>2
[7,6,1,3,8,2,5,4]=>[7,8,2,1,6,5,3,4]=>{{1,2,3,4,7,8},{5,6}}=>2
[7,6,3,4,8,2,1,5]=>[3,4,7,8,6,2,5,1]=>{{1,2,3,4,5,6,7,8}}=>0
[7,2,3,4,8,6,1,5]=>[2,3,4,7,6,8,5,1]=>{{1,2,3,4,5,6,7,8}}=>0
[7,3,5,4,8,2,1,6]=>[3,7,4,8,5,1,6,2]=>{{1,2,3,4,6,7,8},{5}}=>3
[7,6,1,4,2,8,5,3]=>[4,7,2,8,3,6,1,5]=>{{1,2,3,4,5,7,8},{6}}=>2
[7,1,2,4,3,8,6,5]=>[4,1,2,8,3,7,5,6]=>{{1,2,3,4,5,6,7,8}}=>0
[2,7,8,3,5,4,1,6]=>[7,2,5,1,8,3,6,4]=>{{1,3,4,5,6,7,8},{2}}=>6
[2,6,8,3,5,4,1,7]=>[6,2,5,1,8,3,4,7]=>{{1,3,4,5,6,7,8},{2}}=>6
[7,4,1,2,8,5,3,6]=>[4,8,2,3,7,1,6,5]=>{{1,2,3,4,5,6,7,8}}=>0
[6,7,4,1,5,8,3,2]=>[5,4,7,3,8,6,1,2]=>{{1,2,3,4,5,7,8},{6}}=>2
[8,4,3,1,5,6,7,2]=>[3,4,5,2,6,7,8,1]=>{{1,3,5,6,7,8},{2,4}}=>4
[4,5,3,1,8,6,7,2]=>[4,3,6,2,5,7,8,1]=>{{1,2,3,4,6,7,8},{5}}=>3
[4,8,5,6,3,1,7,2]=>[7,4,6,5,1,3,8,2]=>{{1,2,4,5,7,8},{3,6}}=>2
[5,1,3,4,8,6,7,2]=>[3,1,4,6,5,7,8,2]=>{{1,2,3,4,6,7,8},{5}}=>3
[8,5,3,4,1,6,7,2]=>[3,4,5,6,2,7,8,1]=>{{1,2,3,4,5,6,7,8}}=>0
[6,4,8,2,1,5,3,7]=>[6,8,4,2,3,1,5,7]=>{{1,6},{2,3,4,5,7,8}}=>0
[6,1,4,2,7,5,3,8]=>[4,1,7,3,6,2,5,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[4,8,7,6,5,3,1,2]=>[7,4,5,6,8,1,3,2]=>{{1,2,3,4,5,6,7,8}}=>0
[7,3,8,6,5,4,2,1]=>[5,6,3,7,8,1,2,4]=>{{1,2,4,5,6,7,8},{3}}=>5
[8,6,1,5,3,2,4,7]=>[5,6,2,8,3,4,1,7]=>{{1,2,3,4,5,6,7,8}}=>0
[8,6,3,1,5,2,4,7]=>[3,5,6,2,8,4,1,7]=>{{1,2,3,4,5,6,7,8}}=>0
[8,4,6,1,5,2,3,7]=>[4,6,5,3,8,2,1,7]=>{{1,3,4,5,7,8},{2,6}}=>2
[8,5,2,1,7,4,3,6]=>[5,8,1,3,7,2,6,4]=>{{1,2,3,4,5,6,7,8}}=>0
[7,8,2,1,5,4,3,6]=>[7,5,1,3,8,2,6,4]=>{{1,2,3,4,5,6,7,8}}=>0
[8,2,6,1,7,4,3,5]=>[2,6,8,3,7,4,5,1]=>{{1,2,3,4,6,8},{5,7}}=>1
[8,1,5,7,3,2,6,4]=>[5,1,8,7,3,4,2,6]=>{{1,2,3,4,5,6,7,8}}=>0
[5,7,8,1,3,2,6,4]=>[8,7,5,3,2,4,1,6]=>{{1,2,3,4,5,6,7,8}}=>0
[7,5,1,6,8,2,3,4]=>[6,8,2,7,5,4,3,1]=>{{1,2,3,4,6,7,8},{5}}=>3
[7,1,8,4,3,6,2,5]=>[6,1,4,7,2,8,5,3]=>{{1,2,3,4,5,6,7,8}}=>0
[7,3,1,8,6,4,2,5]=>[3,7,2,6,8,4,5,1]=>{{1,2,3,5,7,8},{4,6}}=>2
[8,3,1,7,4,6,2,5]=>[3,6,2,7,1,8,5,4]=>{{1,2,3,4,5,6,7,8}}=>0
[6,2,7,8,3,1,5,4]=>[2,8,7,6,3,5,1,4]=>{{1,2,3,4,5,6,7,8}}=>0
[8,4,1,7,3,2,6,5]=>[4,8,2,7,1,5,3,6]=>{{1,2,3,4,5,6,7,8}}=>0
[8,2,7,4,1,3,6,5]=>[2,4,7,8,3,5,1,6]=>{{1,2,3,4,5,6,7,8}}=>0
[7,4,3,8,1,2,6,5]=>[3,7,8,4,2,5,1,6]=>{{1,2,3,5,6,7,8},{4}}=>4
[8,2,3,6,7,1,5,4]=>[2,3,6,8,7,5,1,4]=>{{1,2,3,5,6,7},{4,8}}=>0
[8,7,5,2,3,1,6,4]=>[5,7,8,2,3,4,1,6]=>{{1,2,3,4,5,6,7,8}}=>0
[7,2,4,6,8,1,3,5]=>[2,4,8,7,6,5,3,1]=>{{1,2,3,4,7,8},{5,6}}=>2
[3,7,2,4,6,8,1,5]=>[4,3,1,7,8,6,5,2]=>{{1,2,3,4,5,7,8},{6}}=>2
[6,3,5,7,2,8,1,4]=>[3,8,7,5,2,6,4,1]=>{{1,2,3,4,5,7,8},{6}}=>2
[8,5,4,2,1,6,3,7]=>[4,5,6,2,3,8,1,7]=>{{1,2,3,4,5,6,7,8}}=>0
[8,5,3,4,1,6,2,7]=>[3,4,5,6,2,8,1,7]=>{{1,2,3,4,5,6,7,8}}=>0
[7,5,4,2,1,8,3,6]=>[4,5,8,2,3,7,6,1]=>{{1,2,3,4,5,8},{6,7}}=>1
[6,7,3,4,1,5,8,2]=>[4,3,6,8,2,1,7,5]=>{{1,2,3,4,5,6,8},{7}}=>1
[5,6,7,3,1,8,2,4]=>[8,7,5,1,4,6,3,2]=>{{1,2,3,4,5,7,8},{6}}=>2
[6,7,3,2,4,8,1,5]=>[7,3,8,1,2,6,5,4]=>{{1,2,3,4,5,7,8},{6}}=>2
[7,6,4,2,1,3,8,5]=>[4,6,8,2,3,5,7,1]=>{{1,2,3,4,5,6,8},{7}}=>1
[7,6,3,4,1,2,8,5]=>[3,4,6,8,2,5,7,1]=>{{1,2,3,4,5,6,8},{7}}=>1
[7,4,5,6,1,2,8,3]=>[4,8,6,5,3,2,7,1]=>{{1,2,3,4,5,6,8},{7}}=>1
[5,6,7,4,1,2,8,3]=>[6,5,4,8,3,2,7,1]=>{{1,2,3,4,5,6,8},{7}}=>1
[6,5,7,2,1,8,3,4]=>[7,8,5,2,4,6,3,1]=>{{1,2,3,4,5,7,8},{6}}=>2
[5,7,8,3,6,4,1,2]=>[8,6,5,1,7,2,4,3]=>{{1,3,4,5,7,8},{2,6}}=>2
[3,7,8,5,6,1,4,2]=>[6,5,3,8,7,4,1,2]=>{{1,2,4,5,6,7,8},{3}}=>5
[7,3,5,8,6,1,4,2]=>[3,8,6,5,7,4,1,2]=>{{1,3,4,5,6,7},{2,8}}=>0
[7,8,1,5,6,3,4,2]=>[6,5,2,8,7,3,1,4]=>{{1,2,3,5,6,7},{4,8}}=>0
[7,1,8,5,6,3,4,2]=>[6,1,5,8,7,3,2,4]=>{{1,2,3,5,6,7},{4,8}}=>0
[1,3,7,8,5,6,4,2]=>[1,6,3,5,7,8,2,4]=>{{1},{2,4,5,6,7,8},{3}}=>5
[7,1,5,8,3,6,4,2]=>[6,1,7,5,3,8,2,4]=>{{1,2,3,4,5,6,7,8}}=>0
[5,7,3,1,8,6,4,2]=>[6,3,7,2,5,8,1,4]=>{{1,2,3,4,6,7,8},{5}}=>3
[1,7,5,8,3,6,4,2]=>[1,6,7,5,3,8,2,4]=>{{1},{2,3,4,5,6,7,8}}=>0
[5,7,8,3,6,1,4,2]=>[8,6,5,1,7,4,2,3]=>{{1,2,3,4,5,6,7,8}}=>0
[5,7,8,6,3,1,4,2]=>[8,6,5,7,2,4,1,3]=>{{1,2,3,4,5,6,7,8}}=>0
[7,5,8,6,1,3,4,2]=>[6,8,5,7,4,2,1,3]=>{{1,2,3,4,5,6,7,8}}=>0
[5,7,8,1,6,3,4,2]=>[8,6,5,3,7,2,1,4]=>{{1,3,4,5,7,8},{2,6}}=>2
[3,7,8,1,5,6,4,2]=>[6,5,3,2,7,8,1,4]=>{{1,2,4,5,6,7,8},{3}}=>5
[1,7,3,8,5,6,4,2]=>[1,3,6,5,7,8,2,4]=>{{1},{2,3,4,5,6,7,8}}=>0
[3,7,1,8,5,6,4,2]=>[6,3,2,5,7,8,1,4]=>{{1,4,5,6,7,8},{2,3}}=>5
[5,7,1,8,3,6,4,2]=>[7,6,2,5,3,8,1,4]=>{{1,7},{2,3,4,5,6,8}}=>0
[7,5,1,8,6,3,4,2]=>[6,8,2,5,7,3,1,4]=>{{1,2,3,4,5,6,7,8}}=>0
[7,5,8,1,6,3,4,2]=>[6,8,5,3,7,2,1,4]=>{{1,2,3,4,5,6,7,8}}=>0
[7,5,1,8,3,6,4,2]=>[6,7,2,5,3,8,1,4]=>{{1,2,3,4,5,6,7,8}}=>0
[5,7,1,3,8,6,4,2]=>[7,6,2,1,5,8,3,4]=>{{1,2,3,4,6,7,8},{5}}=>3
[1,7,3,5,8,6,4,2]=>[1,3,6,7,5,8,2,4]=>{{1},{2,3,4,6,7,8},{5}}=>3
[7,3,1,8,5,6,4,2]=>[3,6,2,5,7,8,1,4]=>{{1,2,3,4,5,6,7,8}}=>0
[7,1,3,5,8,6,4,2]=>[3,1,6,7,5,8,2,4]=>{{1,2,3,4,6,7,8},{5}}=>3
[5,7,3,4,8,1,6,2]=>[4,3,7,8,5,2,1,6]=>{{1,2,3,4,6,7,8},{5}}=>3
[7,3,5,6,1,2,8,4]=>[3,8,5,6,4,2,7,1]=>{{1,2,3,4,5,6,8},{7}}=>1
[7,8,3,5,1,2,6,4]=>[5,3,7,8,4,2,1,6]=>{{1,2,3,4,5,6,7,8}}=>0
[6,2,4,5,1,3,8,7]=>[2,4,6,5,3,1,8,7]=>{{1,2,3,4,5,6},{7,8}}=>0
[3,7,8,1,5,4,6,2]=>[7,5,3,2,8,1,4,6]=>{{1,2,4,5,6,7,8},{3}}=>5
[5,8,7,1,4,6,2,3]=>[7,5,6,3,1,8,4,2]=>{{1,2,3,4,5,6,7,8}}=>0
[4,7,6,1,8,3,5,2]=>[8,4,7,3,6,2,1,5]=>{{1,2,3,4,5,6,7,8}}=>0
[4,7,2,6,3,8,5,1]=>[8,4,1,7,2,6,3,5]=>{{1,2,3,4,5,7,8},{6}}=>2
[2,1,8,4,6,7,3,5]=>[2,1,4,6,8,7,5,3]=>{{1,2},{3,4,5,6,7,8}}=>0
[3,8,1,5,6,7,2,4]=>[5,3,2,8,6,7,4,1]=>{{1,4,5,6,7,8},{2,3}}=>5
[8,2,1,7,6,3,5,4]=>[2,6,1,7,8,5,3,4]=>{{1,2,3,4,5,6,7,8}}=>0
[4,7,3,2,1,8,6,5]=>[4,3,8,1,2,7,5,6]=>{{1,4},{2,3,5,6,7,8}}=>0
[6,4,7,5,2,3,8,1]=>[5,8,4,6,2,1,7,3]=>{{1,2,3,4,5,6,8},{7}}=>1
[4,8,7,2,3,1,5,6]=>[8,4,7,2,1,5,6,3]=>{{1,3,5,6,7,8},{2,4}}=>4
[7,6,8,1,3,5,2,4]=>[7,8,6,3,2,1,5,4]=>{{1,2,3,4,5,6,7,8}}=>0
[6,7,5,2,3,1,8,4]=>[6,5,8,2,3,4,7,1]=>{{1,2,3,4,5,6,8},{7}}=>1
[8,7,2,6,4,1,5,3]=>[6,7,1,8,2,5,3,4]=>{{1,2,3,5,6,7},{4,8}}=>0
[6,7,8,2,5,3,1,4]=>[7,6,5,2,8,3,4,1]=>{{1,2,3,4,5,6,7,8}}=>0
[7,4,8,1,2,5,6,3]=>[7,8,4,3,2,1,5,6]=>{{1,2,5,6,7,8},{3,4}}=>4
[6,8,3,4,2,1,7,5]=>[4,3,6,7,1,5,8,2]=>{{1,2,3,4,5,6,7,8}}=>0
[6,8,7,5,3,4,1,2]=>[7,5,6,8,2,1,4,3]=>{{1,3,4,6,7,8},{2,5}}=>3
[4,8,6,3,1,5,7,2]=>[7,4,6,1,3,2,8,5]=>{{1,2,3,4,5,6,7,8}}=>0
[3,6,8,7,2,5,1,4]=>[8,6,3,7,2,1,5,4]=>{{1,2,4,5,6,7,8},{3}}=>5
[6,3,7,2,8,5,1,4]=>[7,8,3,1,6,2,5,4]=>{{1,2,4,5,6,7,8},{3}}=>5
[4,2,7,3,8,1,6,5]=>[2,8,4,1,7,5,3,6]=>{{1,2,3,4,5,6,7,8}}=>0
[6,1,3,8,7,2,5,4]=>[3,1,8,6,7,5,2,4]=>{{1,2,3,4,5,6,7,8}}=>0
[5,1,3,7,2,8,6,4]=>[3,1,8,5,4,7,2,6]=>{{1,2,3,6,7,8},{4,5}}=>3
[3,6,2,4,1,8,7,5]=>[4,3,1,7,2,6,8,5]=>{{1,2,3,4,5,7,8},{6}}=>2
[6,3,4,1,8,7,5,2]=>[3,8,4,2,6,7,1,5]=>{{1,2,3,4,5,6,7,8}}=>0
[3,6,2,5,1,4,8,7]=>[5,3,1,6,4,2,8,7]=>{{1,2,3,4,5,6},{7,8}}=>0
[5,2,8,4,1,3,7,6]=>[2,5,4,7,3,1,8,6]=>{{1,2,3,4,5,6,7,8}}=>0
[6,3,1,7,2,8,5,4]=>[3,8,2,7,4,6,1,5]=>{{1,2,3,4,5,7,8},{6}}=>2
[6,4,1,2,8,7,5,3]=>[4,8,2,3,6,7,1,5]=>{{1,2,3,4,5,6,7,8}}=>0
[5,3,1,7,2,8,6,4]=>[3,8,2,5,4,7,1,6]=>{{1,2,3,6,7,8},{4,5}}=>3
[7,2,6,3,4,1,5,8]=>[2,6,7,1,3,5,4,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[8,3,7,4,6,5,1,2]=>[3,6,4,7,8,1,5,2]=>{{1,2,3,4,5,6,7,8}}=>0
[1,6,5,2,8,3,7,4]=>[1,6,7,3,5,4,8,2]=>{{1},{2,3,4,6,7,8},{5}}=>3
[1,8,6,3,7,5,4,2]=>[1,6,8,2,7,3,4,5]=>{{1},{2,3,4,5,6,7,8}}=>0
[1,8,2,7,3,6,5,4]=>[1,6,2,7,4,8,3,5]=>{{1},{2,3,4,5,6,7,8}}=>0
[8,1,2,7,4,3,6,5]=>[7,1,2,8,3,5,4,6]=>{{1,2,3,4,5,6,7,8}}=>0
[8,2,3,1,4,6,5,7]=>[2,3,6,1,4,8,5,7]=>{{1,2,3,4,5,6,7,8}}=>0
[2,4,8,3,1,5,6,7]=>[8,2,4,1,3,5,6,7]=>{{1,3,4,5,6,7,8},{2}}=>6
[8,3,7,2,1,5,4,6]=>[3,8,7,1,4,2,6,5]=>{{1,2,3,4,5,6,7,8}}=>0
[1,3,7,2,8,4,6,5]=>[1,8,3,2,7,5,4,6]=>{{1},{2,4,5,6,7,8},{3}}=>5
[5,4,6,2,7,1,3,8]=>[6,7,4,2,5,3,1,8]=>{{1,2,3,4,6,7},{5},{8}}=>2
[7,6,3,1,8,4,5,2]=>[3,7,8,2,6,4,1,5]=>{{1,2,3,4,5,6,7,8}}=>0
[7,6,2,1,8,5,3,4]=>[7,8,1,3,6,2,5,4]=>{{1,2,3,4,5,6,7,8}}=>0
[6,5,1,2,8,3,7,4]=>[6,7,2,3,5,4,8,1]=>{{1,2,3,4,6,7,8},{5}}=>3
[6,8,4,1,3,7,5,2]=>[6,4,8,3,1,7,2,5]=>{{1,2,3,4,5,6,7,8}}=>0
[5,8,3,1,7,4,6,2]=>[5,3,8,2,7,1,4,6]=>{{1,2,3,4,5,6,7,8}}=>0
[1,2,8,7,6,3,5,4]=>[1,2,6,7,8,5,3,4]=>{{1},{2},{3,4,5,6,7,8}}=>0
[8,7,1,6,5,4,3,2]=>[5,6,2,7,8,1,3,4]=>{{1,2,3,4,5,6,7,8}}=>0
[4,1,8,7,5,6,3,2]=>[6,1,4,5,7,8,2,3]=>{{1,2,3,4,5,6,7,8}}=>0
[8,6,3,7,5,2,1,4]=>[3,5,7,6,8,2,4,1]=>{{1,2,3,4,5,6,7,8}}=>0
[3,5,7,8,2,6,1,4]=>[7,6,3,5,2,8,4,1]=>{{1,2,4,5,6,7,8},{3}}=>5
[8,2,3,4,6,1,5,7]=>[2,3,4,6,8,5,1,7]=>{{1,2,3,4,5,6,7,8}}=>0
[7,2,3,4,6,1,8,5]=>[2,3,4,6,8,5,7,1]=>{{1,2,3,4,5,6,8},{7}}=>1
[8,2,3,4,7,5,1,6]=>[2,3,4,7,8,1,6,5]=>{{1,2,3,4,6,7},{5,8}}=>0
[4,8,3,7,5,1,6,2]=>[4,3,7,5,8,2,1,6]=>{{1,2,3,4,5,6,7,8}}=>0
[5,2,3,4,7,8,6,1]=>[2,3,4,8,5,7,1,6]=>{{1,2,3,4,6,7,8},{5}}=>3
[5,2,3,4,8,7,1,6]=>[2,3,4,7,5,8,6,1]=>{{1,2,3,4,6,7,8},{5}}=>3
[4,2,8,5,7,6,1,3]=>[2,7,4,5,6,8,3,1]=>{{1,2,3,4,5,6,7,8}}=>0
[4,7,3,6,5,8,2,1]=>[4,3,7,5,8,6,1,2]=>{{1,2,3,4,5,7,8},{6}}=>2
[8,7,3,6,5,1,2,4]=>[3,5,6,7,8,4,2,1]=>{{1,2,3,4,5,6,7,8}}=>0
[8,2,7,5,1,6,3,4]=>[2,5,6,7,4,8,3,1]=>{{1,2,3,4,5,6,7,8}}=>0
[5,2,7,8,4,6,3,1]=>[2,7,6,5,1,8,3,4]=>{{1,2,3,4,5,6,7,8}}=>0
[6,8,3,2,5,7,1,4]=>[5,3,6,1,8,7,4,2]=>{{1,2,3,4,5,6,7,8}}=>0
[6,2,3,4,7,5,8,1]=>[2,3,4,8,6,1,7,5]=>{{1,2,3,4,5,6,8},{7}}=>1
[6,2,3,4,8,5,1,7]=>[2,3,4,8,6,1,5,7]=>{{1,2,3,4,5,6,7,8}}=>0
[6,2,3,4,1,8,5,7]=>[2,3,4,8,1,6,5,7]=>{{1,2,3,4,5,7,8},{6}}=>2
[6,2,3,4,8,7,5,1]=>[2,3,4,8,6,7,1,5]=>{{1,2,3,4,5,6,7,8}}=>0
[6,8,3,1,5,7,4,2]=>[5,3,6,2,8,7,1,4]=>{{1,2,3,4,5,6,7,8}}=>0
[7,2,3,4,1,8,6,5]=>[2,3,4,8,1,7,5,6]=>{{1,2,3,4,5,6,7,8}}=>0
[7,2,3,4,1,5,8,6]=>[2,3,4,8,1,5,7,6]=>{{1,2,3,4,5,6,8},{7}}=>1
[1,8,4,2,3,5,6,7]=>[1,4,8,3,2,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>0
[8,6,7,4,1,5,3,2]=>[4,7,6,8,3,1,2,5]=>{{1,3,4,5,6,8},{2,7}}=>1
[6,4,8,5,1,7,3,2]=>[5,8,4,6,3,7,1,2]=>{{1,3,4,5,6,7},{2,8}}=>0
[8,7,1,4,5,6,3,2]=>[4,5,2,6,7,8,1,3]=>{{1,2,3,4,5,6,7,8}}=>0
[8,7,5,1,2,4,6,3]=>[5,7,8,3,4,1,2,6]=>{{1,3,4,5,6,8},{2,7}}=>1
[4,1,8,6,2,7,5,3]=>[8,1,4,6,3,7,2,5]=>{{1,2,3,4,5,6,7,8}}=>0
[2,8,7,1,5,6,3,4]=>[5,2,6,3,7,8,4,1]=>{{1,3,4,5,6,7,8},{2}}=>6
[7,1,8,2,4,6,5,3]=>[7,1,6,3,2,8,4,5]=>{{1,2,3,4,5,6,7,8}}=>0
[2,8,7,1,3,5,6,4]=>[7,2,8,3,4,1,5,6]=>{{1,3,4,5,6,7,8},{2}}=>6
[5,7,1,8,2,3,6,4]=>[8,7,2,5,4,3,1,6]=>{{1,2,3,6,7,8},{4,5}}=>3
[4,2,8,6,7,5,1,3]=>[2,8,4,6,7,1,5,3]=>{{1,2,3,4,6,8},{5,7}}=>1
[8,3,4,7,5,1,6,2]=>[3,7,4,5,8,2,1,6]=>{{1,2,3,4,5,6,7,8}}=>0
[8,7,4,2,5,6,1,3]=>[4,5,6,2,7,8,3,1]=>{{1,2,3,4,5,6,7,8}}=>0
[8,7,2,4,1,5,6,3]=>[4,7,1,8,3,2,5,6]=>{{1,2,3,4,5,6,7,8}}=>0
[4,8,6,1,7,2,5,3]=>[8,4,6,3,7,5,1,2]=>{{1,2,3,4,5,6,7,8}}=>0
[1,8,7,3,6,2,4,5]=>[1,6,7,2,8,5,4,3]=>{{1},{2,3,4,5,6,7,8}}=>0
[8,2,1,7,5,6,3,4]=>[2,5,1,6,7,8,4,3]=>{{1,2,3,4,5,6,7,8}}=>0
[8,5,2,1,6,7,4,3]=>[5,8,1,3,6,7,2,4]=>{{1,2,3,4,5,6,7,8}}=>0
[1,5,2,8,6,7,4,3]=>[1,8,2,5,6,7,3,4]=>{{1},{2,3,4,5,6,7,8}}=>0
[8,1,3,7,5,6,2,4]=>[3,1,5,6,7,8,4,2]=>{{1,2,3,4,5,6,7,8}}=>0
[8,1,4,2,6,7,5,3]=>[4,1,6,3,8,7,2,5]=>{{1,2,3,4,6,7},{5,8}}=>0
[8,1,7,3,6,2,4,5]=>[6,1,7,2,8,5,4,3]=>{{1,2,3,4,5,6,7,8}}=>0
[8,1,3,7,2,5,6,4]=>[3,1,7,8,4,2,5,6]=>{{1,2,3,4,5,6,7,8}}=>0
[8,3,7,1,2,5,6,4]=>[3,8,7,2,4,1,5,6]=>{{1,2,3,4,5,6,7,8}}=>0
[2,6,8,3,5,4,7,1]=>[6,2,5,1,7,3,8,4]=>{{1,3,4,5,6,7,8},{2}}=>6
[6,3,8,7,5,2,4,1]=>[5,7,3,6,8,2,1,4]=>{{1,2,4,5,6,7,8},{3}}=>5
[7,8,3,6,2,5,4,1]=>[6,3,7,8,2,1,4,5]=>{{1,6},{2,3,4,5,7,8}}=>0
[7,5,2,3,1,4,8,6]=>[5,8,1,2,4,3,7,6]=>{{1,2,3,4,5,6,8},{7}}=>1
[7,4,6,2,3,8,1,5]=>[4,8,7,2,1,6,5,3]=>{{1,2,3,4,5,7,8},{6}}=>2
[6,4,2,5,8,3,7,1]=>[4,7,1,6,5,2,8,3]=>{{1,2,3,4,6,7,8},{5}}=>3
[5,7,1,4,2,3,6,8]=>[5,4,2,7,3,1,6,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[5,8,1,3,2,4,6,7]=>[8,5,2,1,4,3,6,7]=>{{1,2,3,4,5,6,7,8}}=>0
[5,4,8,7,3,1,2,6]=>[7,8,4,5,1,3,6,2]=>{{1,3,4,5,6,7},{2,8}}=>0
[6,5,3,4,1,2,8,7]=>[3,4,5,6,2,1,8,7]=>{{1,2,3,4,5,6},{7,8}}=>0
[7,4,2,6,1,5,3,8]=>[4,7,1,6,3,2,5,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[6,4,2,8,1,5,7,3]=>[6,7,1,4,3,2,8,5]=>{{1,2,3,5,6,7,8},{4}}=>4
[6,3,7,8,2,5,1,4]=>[7,8,3,6,2,1,5,4]=>{{1,2,4,5,6,7,8},{3}}=>5
[5,3,8,2,6,7,4,1]=>[5,8,3,1,6,7,2,4]=>{{1,2,4,5,6,7,8},{3}}=>5
[6,4,8,2,1,5,7,3]=>[6,7,4,2,3,1,8,5]=>{{1,6},{2,3,4,5,7,8}}=>0
[5,3,7,8,2,6,4,1]=>[6,7,3,5,2,8,1,4]=>{{1,2,4,5,6,7,8},{3}}=>5
[5,7,8,4,6,2,1,3]=>[6,5,4,8,7,2,3,1]=>{{1,2,3,4,5,6,7,8}}=>0
[5,8,6,4,7,2,1,3]=>[7,4,5,8,6,2,3,1]=>{{1,2,3,4,5,6,7,8}}=>0
[5,3,8,6,2,7,4,1]=>[5,8,3,6,2,7,1,4]=>{{1,2,4,5,6,7,8},{3}}=>5
[5,3,8,6,7,2,4,1]=>[5,8,3,7,6,2,1,4]=>{{1,2,4,5,6,7,8},{3}}=>5
[5,7,6,4,8,2,1,3]=>[7,4,6,8,5,2,3,1]=>{{1,2,3,4,6,7,8},{5}}=>3
[5,6,3,8,7,2,4,1]=>[7,3,8,5,6,2,1,4]=>{{1,7},{2,3,4,5,6,8}}=>0
[5,7,4,3,6,8,1,2]=>[5,4,8,1,7,6,3,2]=>{{1,2,3,4,5,7,8},{6}}=>2
[4,5,8,6,7,3,2,1]=>[8,7,4,5,6,1,2,3]=>{{1,3,4,5,6,8},{2,7}}=>1
[4,6,8,5,7,3,2,1]=>[8,5,4,7,6,1,2,3]=>{{1,2,3,4,5,6,7,8}}=>0
[5,4,6,8,2,7,1,3]=>[6,8,5,4,2,7,3,1]=>{{1,2,3,5,6,7,8},{4}}=>4
[5,7,8,2,6,4,1,3]=>[8,6,5,2,7,1,4,3]=>{{1,2,3,4,5,6,7,8}}=>0
[5,2,7,4,6,8,1,3]=>[2,5,4,8,7,6,3,1]=>{{1,2,3,4,5,7,8},{6}}=>2
[8,1,3,6,7,2,4,5]=>[3,1,6,8,7,5,4,2]=>{{1,2,3,4,5,6,7,8}}=>0
[8,1,4,2,5,6,3,7]=>[4,1,5,3,6,8,2,7]=>{{1,2,3,4,5,6,7,8}}=>0
[8,1,4,2,7,5,3,6]=>[4,1,7,3,8,2,6,5]=>{{1,2,3,4,6,7},{5,8}}=>0
[7,3,4,1,5,8,6,2]=>[3,5,4,2,8,7,1,6]=>{{1,2,3,4,5,6,7,8}}=>0
[3,6,4,8,1,5,7,2]=>[7,3,6,4,2,1,8,5]=>{{1,2,3,5,6,7,8},{4}}=>4
[1,5,8,4,2,6,3,7]=>[1,5,4,6,3,8,2,7]=>{{1},{2,3,4,5,6,7,8}}=>0
[3,5,2,1,8,4,6,7]=>[8,3,1,2,5,4,6,7]=>{{1,2,3,4,6,7,8},{5}}=>3
[7,5,1,2,3,8,6,4]=>[5,8,2,3,4,7,1,6]=>{{1,2,3,4,5,6,7,8}}=>0
[6,7,1,4,3,5,2,8]=>[6,4,2,7,1,3,5,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[7,8,2,3,1,5,4,6]=>[8,7,1,2,4,3,6,5]=>{{1,2,3,4,5,6,7,8}}=>0
[7,8,2,4,1,5,3,6]=>[7,4,1,8,3,2,6,5]=>{{1,2,3,4,5,6,7,8}}=>0
[5,6,1,4,2,7,3,8]=>[5,4,2,7,3,6,1,8]=>{{1,2,3,4,5,7},{6},{8}}=>1
[3,6,5,7,4,8,1,2]=>[8,3,7,5,1,6,4,2]=>{{1,2,3,4,5,7,8},{6}}=>2
[5,6,2,4,3,7,1,8]=>[5,4,1,7,2,6,3,8]=>{{1,2,3,4,5,7},{6},{8}}=>1
[6,7,4,5,1,3,2,8]=>[5,4,7,6,3,1,2,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[4,6,5,7,1,3,2,8]=>[7,5,6,4,3,1,2,8]=>{{1,2,3,5,6,7},{4},{8}}=>3
[3,5,2,6,4,7,1,8]=>[7,3,1,5,2,6,4,8]=>{{1,2,3,4,5,7},{6},{8}}=>1
[3,5,2,7,6,4,8,1]=>[8,3,1,5,6,2,7,4]=>{{1,2,3,4,5,6,8},{7}}=>1
[1,5,7,2,8,3,6,4]=>[1,8,7,3,5,4,2,6]=>{{1},{2,3,4,6,7,8},{5}}=>3
[4,5,6,3,1,8,7,2]=>[7,5,4,1,3,6,8,2]=>{{1,2,3,4,5,7,8},{6}}=>2
[4,6,3,1,7,5,2,8]=>[4,3,7,2,6,1,5,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[5,1,6,3,2,7,4,8]=>[7,1,5,2,4,6,3,8]=>{{1,2,3,4,5,7},{6},{8}}=>1
[3,6,2,7,4,1,5,8]=>[7,3,1,6,2,5,4,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[5,1,6,4,2,7,3,8]=>[5,1,4,7,3,6,2,8]=>{{1,2,3,4,5,7},{6},{8}}=>1
[7,3,1,6,5,4,8,2]=>[3,5,2,6,8,1,7,4]=>{{1,2,3,4,5,6,8},{7}}=>1
[3,8,2,6,5,4,1,7]=>[5,3,1,6,8,2,4,7]=>{{1,2,3,4,5,6,7,8}}=>0
[7,2,8,6,1,4,3,5]=>[2,7,6,8,4,3,5,1]=>{{1,2,4,5,7,8},{3,6}}=>2
[3,8,7,2,5,4,1,6]=>[7,3,5,1,8,2,6,4]=>{{1,2,3,4,5,6,7,8}}=>0
[8,7,2,5,4,3,6,1]=>[5,7,1,8,2,3,4,6]=>{{1,2,3,4,5,6,7,8}}=>0
[4,7,3,5,1,8,6,2]=>[4,3,8,5,2,7,1,6]=>{{1,2,3,4,5,6,7,8}}=>0
[4,7,8,3,5,2,1,6]=>[7,5,4,1,8,2,6,3]=>{{1,2,3,4,5,6,7,8}}=>0
[8,3,6,2,1,7,5,4]=>[3,8,6,1,4,7,2,5]=>{{1,2,3,4,5,6,7,8}}=>0
[1,6,3,8,2,7,5,4]=>[1,3,8,6,4,7,2,5]=>{{1},{2,3,4,5,6,7,8}}=>0
[1,7,5,3,8,2,6,4]=>[1,7,8,2,5,4,3,6]=>{{1},{2,3,4,6,7,8},{5}}=>3
[4,1,7,6,3,2,8,5]=>[8,1,4,6,2,5,7,3]=>{{1,2,3,4,5,6,8},{7}}=>1
[5,7,3,1,8,4,6,2]=>[7,3,8,2,5,1,4,6]=>{{1,2,3,4,6,7,8},{5}}=>3
[2,6,8,5,7,4,1,3]=>[7,2,5,8,6,1,4,3]=>{{1,3,4,5,6,7,8},{2}}=>6
[2,4,3,8,6,7,1,5]=>[3,2,6,4,8,7,5,1]=>{{1,3,5,6,7,8},{2},{4}}=>9
[5,7,2,4,3,6,1,8]=>[5,4,1,6,2,7,3,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[4,7,1,5,3,6,2,8]=>[6,4,2,5,1,7,3,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[4,6,3,5,1,7,2,8]=>[4,3,7,5,2,6,1,8]=>{{1,2,3,4,5,7},{6},{8}}=>1
[2,5,3,8,4,7,1,6]=>[3,2,7,5,1,8,6,4]=>{{1,3,4,5,6,7,8},{2}}=>6
[2,7,1,8,3,6,4,5]=>[7,2,1,6,4,8,5,3]=>{{1,3,4,5,6,7,8},{2}}=>6
[1,2,8,7,4,6,3,5]=>[1,2,6,7,3,8,5,4]=>{{1},{2},{3,4,5,6,7,8}}=>0
[1,5,2,8,7,6,3,4]=>[1,7,2,5,6,8,4,3]=>{{1},{2,3,4,5,6,7,8}}=>0
[4,1,5,8,7,6,2,3]=>[7,1,5,4,6,8,3,2]=>{{1,2,3,5,6,7,8},{4}}=>4
[5,2,6,8,3,7,4,1]=>[2,8,6,5,3,7,1,4]=>{{1,2,3,4,5,6,7,8}}=>0
[6,1,8,4,7,3,5,2]=>[6,1,4,8,7,3,2,5]=>{{1,2,3,4,5,6,7,8}}=>0
[6,8,3,5,7,1,4,2]=>[5,3,7,8,6,4,1,2]=>{{1,2,3,4,5,6,7,8}}=>0
[4,6,7,8,2,5,3,1]=>[8,7,6,4,2,1,3,5]=>{{1,2,3,5,6,7,8},{4}}=>4
[7,5,8,4,2,6,3,1]=>[5,6,4,7,2,8,1,3]=>{{1,2,3,4,5,6,7,8}}=>0
[6,8,4,5,2,7,3,1]=>[5,4,8,6,2,7,1,3]=>{{1,2,4,5,6,7},{3,8}}=>0
[6,8,2,5,3,7,4,1]=>[6,5,1,8,3,7,2,4]=>{{1,2,3,5,6,7},{4,8}}=>0
[5,7,8,3,2,6,4,1]=>[7,6,5,1,3,8,2,4]=>{{1,2,4,6,7,8},{3,5}}=>3
[1,5,8,2,7,3,6,4]=>[1,8,5,3,7,4,2,6]=>{{1},{2,3,4,5,6,7,8}}=>0
[5,6,8,1,3,7,4,2]=>[8,6,5,3,2,7,1,4]=>{{1,2,3,4,5,6,7,8}}=>0
[6,8,5,3,7,2,4,1]=>[7,5,8,1,6,3,2,4]=>{{1,2,3,4,5,6,7,8}}=>0
[6,1,8,3,4,7,5,2]=>[8,1,6,2,3,7,4,5]=>{{1,2,3,4,5,6,7,8}}=>0
[6,8,4,2,5,7,3,1]=>[5,4,6,2,8,7,1,3]=>{{1,3,5,6,7,8},{2,4}}=>4
[7,4,5,8,1,6,3,2]=>[5,7,6,4,3,8,1,2]=>{{1,2,3,5,6,7,8},{4}}=>4
[6,3,4,7,8,5,2,1]=>[3,8,7,4,6,1,2,5]=>{{1,2,3,5,6,7,8},{4}}=>4
[6,1,7,3,4,5,8,2]=>[8,1,6,2,3,4,7,5]=>{{1,2,3,4,5,6,8},{7}}=>1
[2,7,1,8,4,5,6,3]=>[8,2,1,7,3,4,5,6]=>{{1,3,4,5,6,7,8},{2}}=>6
[4,6,7,3,2,5,8,1]=>[8,6,4,1,2,3,7,5]=>{{1,2,3,4,5,6,8},{7}}=>1
[2,6,7,3,8,5,4,1]=>[8,2,7,1,6,3,4,5]=>{{1,3,4,5,6,7,8},{2}}=>6
[2,5,7,8,4,3,6,1]=>[8,2,7,5,1,3,4,6]=>{{1,3,4,5,6,7,8},{2}}=>6
[1,6,8,4,7,2,3,5]=>[1,6,4,8,7,5,3,2]=>{{1},{2,3,4,5,6,7,8}}=>0
[7,8,1,2,3,5,4,6]=>[8,7,2,3,4,1,6,5]=>{{1,2,3,4,5,6,7,8}}=>0
[1,6,7,2,3,5,4,8]=>[1,7,6,3,4,2,5,8]=>{{1},{2,3,4,5,6,7},{8}}=>0
[1,6,8,2,3,5,7,4]=>[1,7,6,3,4,2,8,5]=>{{1},{2,3,4,5,6,7,8}}=>0
[7,8,1,2,3,4,6,5]=>[8,7,2,3,4,5,1,6]=>{{1,2,3,4,5,6,7,8}}=>0
[7,8,1,2,3,6,4,5]=>[7,6,2,3,4,8,5,1]=>{{1,2,3,4,5,6,7,8}}=>0
[4,2,6,3,5,1,8,7]=>[2,5,4,1,6,3,8,7]=>{{1,2,3,4,5,6},{7,8}}=>0
[4,8,2,1,6,7,3,5]=>[6,4,1,3,8,7,5,2]=>{{1,2,3,4,5,6,7,8}}=>0
[2,1,6,4,8,5,7,3]=>[2,1,4,7,6,3,8,5]=>{{1,2},{3,4,5,6,7,8}}=>0
[6,2,4,8,5,3,7,1]=>[2,5,6,4,7,1,8,3]=>{{1,2,3,5,6,7,8},{4}}=>4
[4,2,6,3,5,8,7,1]=>[2,5,4,1,7,6,8,3]=>{{1,2,3,4,5,7,8},{6}}=>2
[4,2,6,3,8,7,5,1]=>[2,8,4,1,6,7,3,5]=>{{1,2,3,4,5,6,7,8}}=>0
[6,2,1,4,8,5,7,3]=>[2,4,1,7,6,3,8,5]=>{{1,2,3,4,5,6,7,8}}=>0
[6,2,1,8,4,3,7,5]=>[2,7,1,6,3,5,8,4]=>{{1,2,3,4,5,6,7,8}}=>0
[4,2,8,6,5,7,1,3]=>[2,6,4,5,8,7,3,1]=>{{1,2,3,4,5,6,7,8}}=>0
[8,2,6,4,5,1,3,7]=>[2,4,5,6,8,3,1,7]=>{{1,2,3,4,5,6,7,8}}=>0
[8,4,6,2,1,5,3,7]=>[4,8,6,2,3,1,5,7]=>{{1,2,3,4,5,6,7,8}}=>0
[4,6,8,7,2,1,5,3]=>[8,7,4,6,2,5,1,3]=>{{1,2,3,4,5,6,7,8}}=>0
[2,7,4,8,3,5,1,6]=>[7,2,8,4,1,3,6,5]=>{{1,3,5,6,7,8},{2},{4}}=>9
[6,7,3,8,4,2,5,1]=>[7,3,8,6,1,4,2,5]=>{{1,2,3,5,7,8},{4,6}}=>2
[7,1,8,4,3,5,2,6]=>[7,1,4,8,2,3,6,5]=>{{1,2,3,4,5,6,7,8}}=>0
[7,1,4,8,3,5,2,6]=>[7,1,8,4,2,3,6,5]=>{{1,2,3,5,6,7,8},{4}}=>4
[6,7,3,1,8,4,5,2]=>[7,3,8,2,6,4,1,5]=>{{1,7},{2,3,4,5,6,8}}=>0
[6,7,3,8,4,5,2,1]=>[7,3,8,6,1,2,4,5]=>{{1,2,3,4,5,6,7,8}}=>0
[6,7,1,4,8,3,5,2]=>[7,4,2,8,6,3,1,5]=>{{1,7},{2,3,4,5,6,8}}=>0
[6,2,7,8,4,3,1,5]=>[2,8,7,6,1,4,5,3]=>{{1,2,3,5,7,8},{4,6}}=>2
[2,6,7,4,8,3,1,5]=>[7,2,4,8,6,3,5,1]=>{{1,3,4,5,6,7,8},{2}}=>6
[1,2,7,8,6,3,4,5]=>[1,2,7,6,8,5,4,3]=>{{1},{2},{3,4,5,6,7,8}}=>0
[2,6,7,1,8,5,3,4]=>[8,2,7,3,6,1,5,4]=>{{1,3,4,5,6,7,8},{2}}=>6
[7,2,1,8,4,5,6,3]=>[2,8,1,7,3,4,5,6]=>{{1,2,3,4,5,6,7,8}}=>0
[1,7,2,8,4,5,6,3]=>[1,8,2,7,3,4,5,6]=>{{1},{2,3,4,5,6,7,8}}=>0
[6,7,1,2,8,5,3,4]=>[8,7,2,3,6,1,5,4]=>{{1,2,3,4,5,6,7,8}}=>0
[4,1,5,7,3,2,6,8]=>[7,1,5,4,2,3,6,8]=>{{1,2,3,5,6,7},{4},{8}}=>3
[4,6,1,8,3,2,5,7]=>[8,6,2,4,1,5,3,7]=>{{1,2,3,5,6,7,8},{4}}=>4
[4,1,8,7,6,2,3,5]=>[7,1,4,6,8,5,3,2]=>{{1,2,3,4,5,6,7,8}}=>0
[4,8,1,6,3,2,5,7]=>[8,4,2,6,1,5,3,7]=>{{1,2,3,4,5,6,7,8}}=>0
[4,7,1,6,3,2,5,8]=>[7,4,2,6,1,5,3,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[6,1,2,3,7,5,4,8]=>[7,1,2,3,6,4,5,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[8,7,5,2,4,1,6,3]=>[5,7,8,2,1,4,3,6]=>{{1,5},{2,3,4,6,7,8}}=>0
[7,8,5,2,4,1,6,3]=>[7,5,8,2,1,4,3,6]=>{{1,2,3,4,5,6,7,8}}=>0
[7,1,2,3,5,6,4,8]=>[5,1,2,3,6,7,4,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[8,1,2,3,5,6,4,7]=>[5,1,2,3,6,8,4,7]=>{{1,2,3,4,5,6,7,8}}=>0
[8,1,2,3,5,4,7,6]=>[5,1,2,3,7,4,8,6]=>{{1,2,3,4,5,6,7,8}}=>0
[7,1,8,4,6,3,2,5]=>[6,1,4,7,8,3,5,2]=>{{1,2,3,4,5,6,7,8}}=>0
[3,8,1,2,4,5,7,6]=>[7,3,2,1,4,5,8,6]=>{{1,4,5,6,7,8},{2,3}}=>5
[3,8,1,7,6,4,2,5]=>[6,3,2,7,8,4,5,1]=>{{1,4,5,6,7,8},{2,3}}=>5
[8,1,7,4,6,3,2,5]=>[4,1,6,7,8,3,5,2]=>{{1,2,4,5,7,8},{3,6}}=>2
[7,1,2,3,5,4,8,6]=>[5,1,2,3,8,4,7,6]=>{{1,2,3,4,5,6,8},{7}}=>1
[6,1,2,3,5,8,4,7]=>[5,1,2,3,8,6,4,7]=>{{1,2,3,4,5,7,8},{6}}=>2
[6,1,2,3,5,7,4,8]=>[5,1,2,3,7,6,4,8]=>{{1,2,3,4,5,7},{6},{8}}=>1
[5,1,2,3,7,6,4,8]=>[6,1,2,3,5,7,4,8]=>{{1,2,3,4,6,7},{5},{8}}=>2
[5,1,2,3,8,6,4,7]=>[6,1,2,3,5,8,4,7]=>{{1,2,3,4,6,7,8},{5}}=>3
[7,4,5,2,3,8,6,1]=>[4,8,5,2,1,7,3,6]=>{{1,2,3,4,5,6,7,8}}=>0
[8,2,3,7,4,5,1,6]=>[2,3,7,8,1,4,6,5]=>{{1,2,3,4,5,6,7,8}}=>0
[7,2,3,4,5,8,6,1]=>[2,3,4,5,8,7,1,6]=>{{1,2,3,4,5,6,7,8}}=>0
[8,2,3,4,5,7,1,6]=>[2,3,4,5,7,8,6,1]=>{{1,2,3,4,5,6,7,8}}=>0
[7,3,4,6,8,5,1,2]=>[3,8,4,7,6,1,5,2]=>{{1,3,4,5,6,7},{2,8}}=>0
[4,7,3,2,8,6,1,5]=>[4,3,7,1,6,8,5,2]=>{{1,4},{2,3,5,6,7,8}}=>0
[3,8,2,6,7,4,5,1]=>[6,3,1,8,7,4,2,5]=>{{1,2,3,4,5,6,7,8}}=>0
[4,8,1,5,6,7,3,2]=>[8,4,2,5,6,7,1,3]=>{{1,2,3,4,5,6,7,8}}=>0
[3,7,6,1,8,5,2,4]=>[8,3,7,2,6,1,5,4]=>{{1,2,3,4,5,6,7,8}}=>0
[4,7,2,3,8,5,1,6]=>[8,4,1,2,7,3,6,5]=>{{1,3,5,6,7,8},{2,4}}=>4
[7,1,3,6,4,8,5,2]=>[3,1,7,8,2,6,4,5]=>{{1,2,3,4,5,7,8},{6}}=>2
[7,6,1,4,8,5,2,3]=>[4,7,2,8,6,1,5,3]=>{{1,2,3,4,5,6,7,8}}=>0
[6,2,3,7,8,5,4,1]=>[2,3,8,7,6,1,4,5]=>{{1,2,3,5,6,8},{4,7}}=>1
[6,2,3,8,4,5,1,7]=>[2,3,8,6,1,4,5,7]=>{{1,2,3,5,7,8},{4,6}}=>2
[8,2,3,5,7,1,4,6]=>[2,3,5,8,7,4,6,1]=>{{1,2,3,4,5,6,7,8}}=>0
[6,4,8,3,5,1,7,2]=>[5,6,4,1,7,3,8,2]=>{{1,2,3,4,5,6,7,8}}=>0
[5,4,8,3,6,7,1,2]=>[5,8,4,1,6,7,3,2]=>{{1,3,4,5,6,7},{2,8}}=>0
[3,5,1,8,4,6,7,2]=>[6,3,2,5,1,7,8,4]=>{{1,4,5,6,7,8},{2,3}}=>5
[4,6,8,3,5,2,7,1]=>[6,5,4,1,7,2,8,3]=>{{1,2,3,4,5,6,7,8}}=>0
[4,8,2,3,5,6,1,7]=>[5,4,1,2,6,8,3,7]=>{{1,3,5,6,7,8},{2,4}}=>4
[7,2,3,4,8,5,1,6]=>[2,3,4,8,7,1,6,5]=>{{1,2,3,4,5,6,7,8}}=>0
[1,8,3,2,4,5,7,6]=>[1,3,7,2,4,5,8,6]=>{{1},{2,3,4,5,6,7,8}}=>0
[8,4,1,6,3,7,5,2]=>[4,8,2,6,1,7,3,5]=>{{1,2,3,4,5,6,7,8}}=>0
[1,2,8,7,5,6,3,4]=>[1,2,5,6,7,8,4,3]=>{{1},{2},{3,4,5,6,7,8}}=>0
[1,4,8,6,5,7,2,3]=>[1,6,4,5,8,7,3,2]=>{{1},{2,3,4,5,6,7,8}}=>0
[5,2,1,8,7,4,3,6]=>[2,8,1,5,7,3,6,4]=>{{1,2,3,4,5,6,7,8}}=>0
[5,2,8,3,4,6,1,7]=>[2,6,5,1,3,8,4,7]=>{{1,2,4,6,7,8},{3,5}}=>3
[1,8,2,4,7,6,5,3]=>[1,4,2,6,7,8,3,5]=>{{1},{2,3,4,5,6,7,8}}=>0
[3,8,2,5,1,7,6,4]=>[5,3,1,7,4,8,2,6]=>{{1,2,3,4,5,7},{6,8}}=>0
[8,1,3,4,5,7,6,2]=>[3,1,4,5,7,8,2,6]=>{{1,2,3,4,5,7},{6,8}}=>0
[6,8,4,5,7,1,3,2]=>[5,4,8,7,6,3,1,2]=>{{1,2,3,4,5,6,7,8}}=>0
[5,3,2,8,6,7,4,1]=>[3,8,1,5,6,7,2,4]=>{{1,3},{2,4,5,6,7,8}}=>0
[6,4,8,5,7,2,3,1]=>[5,8,4,7,6,2,1,3]=>{{1,2,3,4,5,6,7,8}}=>0
[3,6,5,8,7,2,4,1]=>[8,3,7,5,6,2,1,4]=>{{1,2,3,4,5,6,7,8}}=>0
[6,3,1,8,7,5,4,2]=>[3,8,2,6,7,1,4,5]=>{{1,2,3,4,5,6,7,8}}=>0
[5,4,8,1,7,6,3,2]=>[5,7,4,3,6,8,1,2]=>{{1,2,5,6,7,8},{3,4}}=>4
[5,8,4,1,7,6,3,2]=>[5,4,7,3,6,8,1,2]=>{{1,2,3,4,5,6,7,8}}=>0
[1,8,2,5,6,3,4,7]=>[1,5,2,8,6,4,3,7]=>{{1},{2,3,4,5,6,7,8}}=>0
[1,8,5,2,3,7,4,6]=>[1,5,7,3,4,8,6,2]=>{{1},{2,3,4,5,6,7,8}}=>0
[1,8,2,5,3,6,7,4]=>[1,5,2,6,4,7,8,3]=>{{1},{2,3,4,5,6,7,8}}=>0
[2,6,8,4,3,5,7,1]=>[6,2,4,7,1,3,8,5]=>{{1,3,4,5,6,7,8},{2}}=>6
[7,2,8,4,1,5,6,3]=>[2,7,4,8,3,1,5,6]=>{{1,2,3,4,5,6,7,8}}=>0
[1,5,2,6,4,7,8,3]=>[1,8,2,5,3,6,7,4]=>{{1},{2,3,4,5,8},{6},{7}}=>2
[6,5,2,3,8,7,1,4]=>[6,8,1,2,5,7,4,3]=>{{1,2,3,4,6,7,8},{5}}=>3
[5,2,7,4,1,6,3,8]=>[2,5,4,6,3,7,1,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[1,7,8,4,5,6,2,3]=>[1,5,4,6,7,8,3,2]=>{{1},{2,3,4,5,6,7,8}}=>0
[1,5,8,4,2,6,7,3]=>[1,5,4,6,3,7,8,2]=>{{1},{2,3,4,5,6,7,8}}=>0
[6,2,3,7,5,1,4,8]=>[2,3,6,5,7,4,1,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[1,7,3,4,8,6,2,5]=>[1,3,4,7,6,8,5,2]=>{{1},{2,3,4,5,6,7,8}}=>0
[6,2,3,4,8,1,7,5]=>[2,3,4,7,6,5,8,1]=>{{1,2,3,4,7,8},{5,6}}=>2
[8,7,3,2,1,6,5,4]=>[3,6,7,1,4,8,2,5]=>{{1,2,3,4,5,6,7,8}}=>0
[8,7,6,3,1,5,2,4]=>[6,7,8,1,4,2,5,3]=>{{1,2,4,5,6,7},{3,8}}=>0
[8,5,1,7,2,3,4,6]=>[5,8,2,7,4,3,6,1]=>{{1,2,3,4,5,6,7,8}}=>0
[8,1,4,6,3,7,2,5]=>[4,1,8,6,2,7,5,3]=>{{1,2,4,5,6,7},{3,8}}=>0
[8,1,5,6,7,3,2,4]=>[5,1,8,7,6,3,4,2]=>{{1,2,3,5,6,8},{4,7}}=>1
[8,1,3,2,6,7,5,4]=>[3,1,6,2,8,7,4,5]=>{{1,2,3,4,6,7},{5,8}}=>0
[6,5,8,7,4,3,1,2]=>[7,8,5,6,1,2,4,3]=>{{1,2,3,4,5,6,7,8}}=>0
[6,4,2,7,8,5,1,3]=>[7,8,1,4,6,2,5,3]=>{{1,2,3,5,6,7,8},{4}}=>4
[7,6,2,1,4,8,3,5]=>[7,8,1,3,2,6,5,4]=>{{1,2,3,4,5,7,8},{6}}=>2
[7,6,1,3,4,8,2,5]=>[7,8,2,1,3,6,5,4]=>{{1,2,3,4,5,7,8},{6}}=>2
[8,1,6,3,4,7,2,5]=>[6,1,8,2,3,7,5,4]=>{{1,2,3,4,5,6,7,8}}=>0
[6,8,3,2,4,7,1,5]=>[6,3,8,1,2,7,5,4]=>{{1,2,3,4,5,6,7,8}}=>0
[8,7,5,6,2,1,4,3]=>[5,6,8,7,3,4,1,2]=>{{1,2,3,4,5,6,7,8}}=>0
[8,6,3,1,4,7,2,5]=>[3,6,8,2,1,7,5,4]=>{{1,2,3,4,5,6,7,8}}=>0
[8,6,4,1,7,2,5,3]=>[4,6,8,3,7,5,1,2]=>{{1,2,3,4,5,6,7,8}}=>0
[5,7,3,4,6,8,2,1]=>[4,3,5,8,7,6,1,2]=>{{1,2,3,4,5,7,8},{6}}=>2
[8,2,5,4,7,3,1,6]=>[2,4,5,8,7,1,6,3]=>{{1,2,3,4,5,6,7,8}}=>0
[8,1,7,6,4,3,5,2]=>[6,1,7,8,2,4,3,5]=>{{1,2,4,5,6,8},{3,7}}=>1
[8,6,4,5,2,7,1,3]=>[4,5,8,6,2,7,3,1]=>{{1,3,4,6,7,8},{2,5}}=>3
[7,3,6,5,2,1,4,8]=>[3,6,5,7,2,4,1,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[7,3,6,5,2,1,8,4]=>[3,6,5,8,2,4,7,1]=>{{1,2,3,4,5,6,8},{7}}=>1
[2,3,6,8,1,5,7,4]=>[7,2,3,6,4,1,8,5]=>{{1,4,5,6,7,8},{2},{3}}=>10
[6,3,8,5,2,7,1,4]=>[5,6,3,8,2,7,4,1]=>{{1,2,4,5,6,7,8},{3}}=>5
[2,8,7,3,6,1,4,5]=>[6,2,7,1,8,5,4,3]=>{{1,3,4,5,6,7,8},{2}}=>6
[7,3,8,5,2,1,4,6]=>[5,7,3,8,2,4,6,1]=>{{1,2,4,5,6,7,8},{3}}=>5
[2,5,8,1,7,3,6,4]=>[8,2,5,3,7,4,1,6]=>{{1,3,4,5,6,7,8},{2}}=>6
[8,3,6,1,4,7,5,2]=>[3,8,6,2,1,7,4,5]=>{{1,2,3,4,5,6,7,8}}=>0
[4,7,6,1,8,5,2,3]=>[8,4,7,3,6,1,5,2]=>{{1,2,3,4,5,6,7,8}}=>0
[7,3,6,1,2,8,4,5]=>[3,8,7,2,4,6,5,1]=>{{1,2,3,4,5,7,8},{6}}=>2
[8,5,1,6,2,7,3,4]=>[5,8,2,6,4,7,3,1]=>{{1,2,3,4,5,6,7,8}}=>0
[4,8,5,1,7,2,3,6]=>[8,4,5,3,7,2,6,1]=>{{1,8},{2,3,4,5,6,7}}=>1
[5,8,4,1,7,2,3,6]=>[5,4,8,3,7,2,6,1]=>{{1,2,3,4,5,6,7,8}}=>0
[8,6,4,7,1,2,5,3]=>[4,7,8,6,3,5,1,2]=>{{1,2,3,4,5,6,7,8}}=>0
[5,6,8,3,7,1,4,2]=>[8,7,5,1,6,4,2,3]=>{{1,3,4,5,6,8},{2,7}}=>1
[6,5,1,8,2,7,3,4]=>[6,8,2,5,4,7,3,1]=>{{1,2,3,6,7,8},{4,5}}=>3
[5,7,4,1,8,2,3,6]=>[7,4,8,3,5,2,6,1]=>{{1,2,3,4,6,7,8},{5}}=>3
[5,6,8,7,4,1,2,3]=>[8,7,5,6,1,4,3,2]=>{{1,2,3,5,7,8},{4,6}}=>2
[6,8,5,7,4,1,2,3]=>[7,5,8,6,1,4,3,2]=>{{1,2,3,5,7,8},{4,6}}=>2
[4,1,7,5,3,6,2,8]=>[6,1,4,5,2,7,3,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[5,4,2,3,7,8,6,1]=>[4,8,1,2,5,7,3,6]=>{{1,2,3,4,6,7,8},{5}}=>3
[4,1,8,2,5,7,3,6]=>[5,1,4,3,7,8,6,2]=>{{1,2,5,6,7,8},{3,4}}=>4
[5,8,2,1,4,7,3,6]=>[7,5,1,3,2,8,6,4]=>{{1,3,4,6,7,8},{2,5}}=>3
[6,8,3,2,5,1,7,4]=>[5,3,6,1,7,4,8,2]=>{{1,2,3,4,5,6,7,8}}=>0
[5,1,7,3,2,4,6,8]=>[7,1,5,2,4,3,6,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[5,2,1,8,3,6,7,4]=>[2,6,1,5,4,7,8,3]=>{{1,2,3,6,7,8},{4,5}}=>3
[4,2,1,8,5,7,3,6]=>[2,5,1,4,7,8,6,3]=>{{1,2,3,5,6,7,8},{4}}=>4
[7,5,2,1,8,6,3,4]=>[6,7,1,3,5,8,4,2]=>{{1,2,3,4,6,7,8},{5}}=>3
[4,2,8,1,7,3,5,6]=>[2,7,4,3,8,5,6,1]=>{{1,2,5,6,7,8},{3,4}}=>4
[2,1,5,8,4,7,3,6]=>[2,1,7,5,3,8,6,4]=>{{1,2},{3,4,5,6,7,8}}=>0
[5,4,1,7,2,8,6,3]=>[5,8,2,4,3,7,1,6]=>{{1,2,3,5,6,7,8},{4}}=>4
[5,2,8,3,7,4,6,1]=>[2,8,5,1,7,3,4,6]=>{{1,2,3,4,5,6,7,8}}=>0
[6,2,8,5,4,7,3,1]=>[2,6,5,8,1,7,3,4]=>{{1,2,3,5,6,7},{4,8}}=>0
[5,4,2,7,3,6,1,8]=>[5,6,1,4,2,7,3,8]=>{{1,2,3,5,6,7},{4},{8}}=>3
[6,2,8,3,7,4,1,5]=>[2,8,6,1,7,4,5,3]=>{{1,2,3,4,6,8},{5,7}}=>1
[7,6,3,8,4,2,1,5]=>[3,7,8,6,1,4,5,2]=>{{1,2,3,5,7,8},{4,6}}=>2
[7,5,3,8,4,2,6,1]=>[3,7,8,5,1,2,4,6]=>{{1,2,3,4,5,6,7,8}}=>0
[6,4,2,7,3,1,5,8]=>[6,7,1,4,2,5,3,8]=>{{1,2,3,5,6,7},{4},{8}}=>3
[7,6,4,8,2,3,5,1]=>[6,7,8,4,2,3,1,5]=>{{1,2,3,5,6,7,8},{4}}=>4
[6,1,5,4,3,2,8,7]=>[4,1,5,6,2,3,8,7]=>{{1,2,3,4,5,6},{7,8}}=>0
[8,1,6,5,7,3,4,2]=>[5,1,7,8,6,3,2,4]=>{{1,2,3,5,6,7},{4,8}}=>0
[7,8,6,2,5,3,1,4]=>[6,5,7,2,8,3,4,1]=>{{1,2,3,4,5,6,7,8}}=>0
[6,1,3,5,2,8,4,7]=>[3,1,5,8,4,6,2,7]=>{{1,2,3,4,5,7,8},{6}}=>2
[8,1,3,7,4,2,5,6]=>[3,1,7,8,2,5,6,4]=>{{1,2,3,5,6,7},{4,8}}=>0
[2,7,6,4,8,3,5,1]=>[4,2,7,8,6,3,1,5]=>{{1,3,4,5,6,7,8},{2}}=>6
[8,4,7,6,3,1,5,2]=>[4,8,6,7,1,5,2,3]=>{{1,2,3,4,5,6,7,8}}=>0
[5,7,2,1,6,3,8,4]=>[8,5,1,3,6,4,7,2]=>{{1,2,3,4,5,6,8},{7}}=>1
[8,6,2,5,7,1,4,3]=>[5,7,1,8,6,4,2,3]=>{{1,3,4,5,6,8},{2,7}}=>1
[2,8,6,5,7,1,4,3]=>[5,2,7,8,6,4,1,3]=>{{1,3,4,5,6,7,8},{2}}=>6
[7,6,2,8,4,3,1,5]=>[7,8,1,6,2,4,5,3]=>{{1,2,3,5,7,8},{4,6}}=>2
[1,3,8,6,2,4,7,5]=>[1,6,3,7,4,5,8,2]=>{{1},{2,4,5,6,7,8},{3}}=>5
[5,1,8,3,4,6,7,2]=>[6,1,5,2,3,7,8,4]=>{{1,2,4,6,7,8},{3,5}}=>3
[4,8,7,2,1,6,3,5]=>[7,4,6,2,3,8,5,1]=>{{1,3,5,6,7,8},{2,4}}=>4
[8,4,5,2,6,3,1,7]=>[4,8,5,2,6,1,3,7]=>{{1,2,3,4,5,6,7,8}}=>0
[2,4,5,8,3,6,1,7]=>[6,2,5,4,1,8,3,7]=>{{1,3,5,6,7,8},{2},{4}}=>9
[5,8,6,1,3,4,2,7]=>[8,5,6,3,2,1,4,7]=>{{1,3,4,6,7,8},{2,5}}=>3
[5,8,4,6,1,3,2,7]=>[6,4,8,5,3,1,2,7]=>{{1,6},{2,3,4,5,7,8}}=>0
[5,7,4,3,6,1,8,2]=>[5,4,8,1,6,3,7,2]=>{{1,2,3,4,5,6,8},{7}}=>1
[6,2,1,7,8,4,5,3]=>[2,8,1,7,6,4,3,5]=>{{1,2,3,4,5,6,7,8}}=>0
[6,4,7,8,2,1,3,5]=>[7,8,6,4,2,5,3,1]=>{{1,2,3,5,6,7,8},{4}}=>4
[7,5,8,4,1,3,2,6]=>[5,7,4,8,3,1,6,2]=>{{1,2,3,4,5,6,7,8}}=>0
[7,6,8,1,2,4,3,5]=>[7,8,6,3,4,2,5,1]=>{{1,2,3,4,5,6,7,8}}=>0
[7,6,8,5,1,3,2,4]=>[6,7,5,8,4,2,3,1]=>{{1,2,3,4,5,6,7,8}}=>0
[8,7,6,4,1,2,5,3]=>[4,6,7,8,3,5,1,2]=>{{1,2,3,4,5,6,7,8}}=>0
[7,5,2,8,4,1,3,6]=>[7,8,1,5,2,4,6,3]=>{{1,2,3,4,5,6,7,8}}=>0
[3,7,8,4,1,5,6,2]=>[7,4,3,8,2,1,5,6]=>{{1,2,4,5,6,7,8},{3}}=>5
[3,5,8,6,7,4,2,1]=>[8,5,3,7,6,1,2,4]=>{{1,2,4,5,6,7,8},{3}}=>5
[5,2,6,1,4,8,3,7]=>[2,8,5,3,1,6,4,7]=>{{1,2,3,4,5,7,8},{6}}=>2
[2,5,1,8,4,7,3,6]=>[7,2,1,5,3,8,6,4]=>{{1,3,4,5,6,7,8},{2}}=>6
[8,2,1,5,7,3,4,6]=>[2,5,1,8,7,4,6,3]=>{{1,2,3,4,5,6,7,8}}=>0
[1,8,4,2,6,7,3,5]=>[1,4,6,3,8,7,5,2]=>{{1},{2,3,4,5,6,7,8}}=>0
[7,2,1,6,8,3,4,5]=>[2,7,1,8,6,5,4,3]=>{{1,2,3,4,7,8},{5,6}}=>2
[7,1,2,5,3,6,8,4]=>[5,1,2,6,4,8,7,3]=>{{1,2,3,4,5,6,8},{7}}=>1
[8,1,3,2,4,6,7,5]=>[3,1,6,2,4,7,8,5]=>{{1,2,3,4,5,6,7,8}}=>0
[7,3,1,2,4,6,8,5]=>[3,6,2,1,4,8,7,5]=>{{1,2,3,4,5,6,8},{7}}=>1
[1,8,3,2,7,5,6,4]=>[1,3,7,2,8,4,5,6]=>{{1},{2,3,4,5,6,7,8}}=>0
[6,2,3,8,7,1,5,4]=>[2,3,8,6,7,5,1,4]=>{{1,2,3,4,5,6,7,8}}=>0
[5,1,7,8,4,2,6,3]=>[8,1,7,5,2,4,3,6]=>{{1,2,4,5,6,8},{3,7}}=>1
[4,1,7,8,5,3,6,2]=>[7,1,5,4,8,2,3,6]=>{{1,2,3,5,6,7,8},{4}}=>4
[5,1,7,4,8,3,6,2]=>[7,1,4,8,5,2,3,6]=>{{1,2,3,4,6,7,8},{5}}=>3
[4,1,8,7,5,3,6,2]=>[7,1,4,5,8,2,3,6]=>{{1,2,3,4,5,6,7,8}}=>0
[4,7,2,6,3,5,8,1]=>[8,4,1,6,2,3,7,5]=>{{1,2,3,4,5,6,8},{7}}=>1
[3,6,8,2,4,5,7,1]=>[7,6,3,1,2,4,8,5]=>{{1,2,4,5,6,7,8},{3}}=>5
[6,3,4,1,8,5,2,7]=>[3,8,4,2,6,1,5,7]=>{{1,2,3,4,5,6,7,8}}=>0
[2,8,6,7,5,3,4,1]=>[5,2,7,6,8,3,1,4]=>{{1,3,4,5,6,7,8},{2}}=>6
[3,6,5,8,2,4,7,1]=>[7,3,6,5,2,1,8,4]=>{{1,2,3,4,5,6,7,8}}=>0
[6,2,7,1,8,3,5,4]=>[2,8,7,3,6,5,1,4]=>{{1,2,3,4,7,8},{5,6}}=>2
[7,6,1,3,5,2,8,4]=>[5,6,2,1,8,4,7,3]=>{{1,2,3,4,5,6,8},{7}}=>1
[5,8,3,2,4,6,1,7]=>[5,3,6,1,2,8,4,7]=>{{1,2,3,4,5,6,7,8}}=>0
[4,7,6,1,2,5,8,3]=>[8,4,6,3,2,1,7,5]=>{{1,2,3,4,5,6,8},{7}}=>1
[7,5,4,3,1,8,6,2]=>[4,5,8,1,3,7,2,6]=>{{1,4},{2,3,5,6,7,8}}=>0
[1,7,2,4,5,8,3,6]=>[1,4,2,5,8,7,6,3]=>{{1},{2,3,4,5,8},{6,7}}=>1
[3,8,4,7,1,2,5,6]=>[8,3,4,7,2,5,6,1]=>{{1,8},{2,3,4,5,6,7}}=>1
[4,8,6,1,5,3,2,7]=>[6,4,5,3,8,1,2,7]=>{{1,6},{2,3,4,5,7,8}}=>0
[6,4,8,7,5,1,2,3]=>[6,7,4,5,8,3,2,1]=>{{1,3,4,5,6,8},{2,7}}=>1
[2,6,7,8,5,1,3,4]=>[7,2,6,5,8,4,3,1]=>{{1,3,4,5,6,7,8},{2}}=>6
[5,8,3,2,7,6,1,4]=>[5,3,7,1,6,8,4,2]=>{{1,2,3,4,5,6,7,8}}=>0
[3,5,8,6,1,4,7,2]=>[7,5,3,6,4,1,8,2]=>{{1,2,4,5,6,7,8},{3}}=>5
[4,8,6,1,5,2,7,3]=>[6,4,5,3,7,2,8,1]=>{{1,2,3,4,5,6,7,8}}=>0
[5,8,2,3,7,6,1,4]=>[7,5,1,2,6,8,4,3]=>{{1,2,3,4,5,6,7,8}}=>0
[4,6,8,5,3,2,7,1]=>[7,5,4,6,1,2,8,3]=>{{1,2,3,4,5,6,7,8}}=>0
[3,4,8,7,5,6,2,1]=>[6,4,3,5,7,8,1,2]=>{{1,2,4,5,6,7,8},{3}}=>5
[8,3,5,4,1,6,7,2]=>[3,5,4,6,2,7,8,1]=>{{1,3,4,6,7,8},{2,5}}=>3
[7,3,4,8,5,6,1,2]=>[3,6,5,4,7,8,2,1]=>{{1,2,3,5,6,7,8},{4}}=>4
[7,2,1,4,5,8,3,6]=>[2,4,1,5,8,7,6,3]=>{{1,2,3,4,5,8},{6,7}}=>1
[5,7,2,3,6,4,8,1]=>[8,5,1,2,6,3,7,4]=>{{1,2,3,4,5,6,8},{7}}=>1
[8,6,2,3,7,1,4,5]=>[6,8,1,2,7,5,4,3]=>{{1,2,3,4,5,6,7,8}}=>0
[3,8,1,2,5,7,4,6]=>[5,3,2,1,7,8,6,4]=>{{1,4,5,6,7,8},{2,3}}=>5
[6,8,5,4,2,7,3,1]=>[5,4,6,8,2,7,1,3]=>{{1,2,3,4,5,6,7,8}}=>0
[6,8,3,1,2,4,5,7]=>[6,3,8,2,4,5,1,7]=>{{1,2,3,4,5,6,7,8}}=>0
[4,6,8,7,3,1,5,2]=>[8,7,4,6,1,5,2,3]=>{{1,3,4,5,6,8},{2,7}}=>1
[6,2,7,4,8,1,3,5]=>[2,7,4,8,6,5,3,1]=>{{1,2,3,4,7,8},{5,6}}=>2
[5,1,3,8,4,2,7,6]=>[3,1,7,5,2,4,8,6]=>{{1,2,3,4,5,6,7,8}}=>0
[5,6,8,1,7,3,2,4]=>[8,7,5,3,6,2,4,1]=>{{1,8},{2,3,4,5,6,7}}=>1
[7,4,6,8,2,1,5,3]=>[6,8,7,4,2,5,1,3]=>{{1,2,3,5,6,7,8},{4}}=>4
[6,5,8,4,3,1,2,7]=>[5,6,4,8,1,3,2,7]=>{{1,5},{2,3,4,6,7,8}}=>0
[3,8,2,7,1,5,6,4]=>[7,3,1,8,4,2,5,6]=>{{1,2,3,4,5,6,7,8}}=>0
[5,8,2,3,6,4,1,7]=>[8,5,1,2,6,3,4,7]=>{{1,2,3,4,5,6,7,8}}=>0
[7,5,1,8,4,2,6,3]=>[7,8,2,5,1,4,3,6]=>{{1,2,3,4,5,6,7,8}}=>0
[2,1,7,8,4,6,5,3]=>[2,1,7,6,3,8,4,5]=>{{1,2},{3,4,5,6,7,8}}=>0
[7,5,2,8,4,6,3,1]=>[6,7,1,5,2,8,3,4]=>{{1,2,3,4,5,6,7,8}}=>0
[7,8,2,4,3,1,5,6]=>[7,4,1,8,2,5,6,3]=>{{1,2,3,4,5,6,7,8}}=>0
[6,2,7,1,3,5,8,4]=>[2,8,6,3,4,1,7,5]=>{{1,2,3,4,5,6,8},{7}}=>1
[6,1,8,2,3,5,4,7]=>[8,1,6,3,4,2,5,7]=>{{1,2,3,4,5,6,7,8}}=>0
[7,2,4,1,6,3,8,5]=>[2,4,6,3,8,5,7,1]=>{{1,2,3,4,5,6,8},{7}}=>1
[7,3,8,5,2,6,4,1]=>[5,6,3,7,2,8,1,4]=>{{1,2,4,5,6,7,8},{3}}=>5
[4,3,8,7,1,6,5,2]=>[4,7,3,6,2,8,1,5]=>{{1,2,4,5,6,7,8},{3}}=>5
[4,7,5,6,3,8,2,1]=>[8,4,7,5,1,6,2,3]=>{{1,2,3,4,5,7,8},{6}}=>2
[5,8,2,7,3,4,6,1]=>[8,5,1,7,3,2,4,6]=>{{1,2,3,5,6,8},{4,7}}=>1
[5,1,3,6,4,2,8,7]=>[3,1,6,5,2,4,8,7]=>{{1,2,3,4,5,6},{7,8}}=>0
[6,1,3,4,7,5,8,2]=>[3,1,4,8,6,2,7,5]=>{{1,2,3,4,5,6,8},{7}}=>1
[6,2,1,4,8,7,5,3]=>[2,4,1,8,6,7,3,5]=>{{1,2,3,4,5,6,7,8}}=>0
[6,2,8,3,5,7,4,1]=>[2,6,5,1,8,7,3,4]=>{{1,2,3,4,5,6,7,8}}=>0
[7,1,2,4,8,5,6,3]=>[4,1,2,8,7,3,5,6]=>{{1,2,3,4,6,8},{5,7}}=>1
[7,1,3,2,4,8,6,5]=>[3,1,8,2,4,7,5,6]=>{{1,2,3,4,5,6,7,8}}=>0
[7,2,1,3,4,5,8,6]=>[2,8,1,3,4,5,7,6]=>{{1,2,3,4,5,6,8},{7}}=>1
[8,7,3,5,4,2,1,6]=>[3,5,7,8,1,2,6,4]=>{{1,2,3,5,6,7},{4,8}}=>0
[2,8,3,6,4,7,5,1]=>[3,2,6,8,1,7,4,5]=>{{1,3,4,5,6,7,8},{2}}=>6
[6,2,1,7,5,8,3,4]=>[2,7,1,5,8,6,4,3]=>{{1,2,3,4,5,7,8},{6}}=>2
[6,7,2,1,5,8,4,3]=>[7,5,1,3,8,6,2,4]=>{{1,2,3,4,5,7,8},{6}}=>2
[6,5,8,7,4,1,3,2]=>[7,8,5,6,1,4,2,3]=>{{1,2,3,5,7,8},{4,6}}=>2
[1,8,3,5,6,2,4,7]=>[1,3,5,8,6,4,2,7]=>{{1},{2,3,4,5,6,7,8}}=>0
[1,2,8,5,3,7,4,6]=>[1,2,5,7,4,8,6,3]=>{{1},{2},{3,4,5,6,7,8}}=>0
[6,1,4,8,2,3,5,7]=>[6,1,8,4,3,5,2,7]=>{{1,2,3,5,6,7,8},{4}}=>4
[5,7,4,1,2,3,8,6]=>[5,4,8,3,2,1,7,6]=>{{1,2,3,4,5,6,8},{7}}=>1
[1,7,4,2,5,3,8,6]=>[1,4,5,3,8,2,7,6]=>{{1},{2,3,4,5,6,8},{7}}=>1
[2,8,3,1,4,5,6,7]=>[3,2,8,1,4,5,6,7]=>{{1,3,4,5,6,7,8},{2}}=>6
[8,3,7,2,1,4,5,6]=>[3,8,7,1,4,5,6,2]=>{{1,3,4,5,6,7},{2,8}}=>0
[6,5,2,4,7,1,3,8]=>[4,6,1,7,5,3,2,8]=>{{1,2,3,4,6,7},{5},{8}}=>2
[7,6,4,5,1,8,2,3]=>[4,5,8,7,3,6,2,1]=>{{1,2,3,4,5,7,8},{6}}=>2
[8,6,4,1,3,7,2,5]=>[4,6,8,3,1,7,5,2]=>{{1,2,3,4,5,6,7,8}}=>0
[4,8,1,3,5,7,2,6]=>[5,4,2,1,7,8,6,3]=>{{1,2,3,4,5,6,7,8}}=>0
[8,3,1,7,2,4,5,6]=>[3,7,2,8,4,5,6,1]=>{{1,2,3,4,5,6,7,8}}=>0
[2,8,1,4,7,3,5,6]=>[4,2,1,7,8,5,6,3]=>{{1,3,4,5,6,7,8},{2}}=>6
[4,8,6,3,7,5,1,2]=>[8,4,6,1,7,2,5,3]=>{{1,2,3,4,6,8},{5,7}}=>1
[5,1,6,7,8,3,4,2]=>[8,1,7,6,5,3,2,4]=>{{1,2,3,4,6,7,8},{5}}=>3
[4,1,6,8,7,5,3,2]=>[8,1,6,4,7,2,3,5]=>{{1,2,3,5,6,7,8},{4}}=>4
[5,6,1,7,8,4,2,3]=>[8,7,2,6,5,1,4,3]=>{{1,2,3,4,6,7,8},{5}}=>3
[4,8,6,1,7,5,3,2]=>[8,4,6,3,7,1,2,5]=>{{1,2,3,4,5,6,7,8}}=>0
[5,6,7,3,1,2,8,4]=>[8,6,5,1,4,3,7,2]=>{{1,2,3,4,5,6,8},{7}}=>1
[5,6,7,3,8,1,2,4]=>[8,7,6,1,5,4,3,2]=>{{1,2,3,4,6,7,8},{5}}=>3
[5,6,8,7,4,2,1,3]=>[8,7,5,6,1,3,4,2]=>{{1,2,3,4,5,6,7,8}}=>0
[1,4,8,6,3,2,5,7]=>[1,8,4,6,2,5,3,7]=>{{1},{2,3,4,5,6,7,8}}=>0
[7,4,1,6,3,8,5,2]=>[4,8,2,7,1,6,3,5]=>{{1,2,3,4,5,7,8},{6}}=>2
[8,5,4,1,3,2,7,6]=>[4,5,7,3,1,2,8,6]=>{{1,2,3,4,5,6,7,8}}=>0
[4,7,1,8,2,5,3,6]=>[8,7,2,4,3,1,6,5]=>{{1,2,3,5,6,7,8},{4}}=>4
[6,4,1,8,5,3,7,2]=>[5,6,2,4,7,1,8,3]=>{{1,2,3,5,6,7,8},{4}}=>4
[6,5,1,4,3,2,8,7]=>[4,5,2,6,1,3,8,7]=>{{1,2,3,4,5,6},{7,8}}=>0
[5,7,4,1,3,8,6,2]=>[5,4,8,3,1,7,2,6]=>{{1,5},{2,3,4,6,7,8}}=>0
[2,4,3,8,6,1,5,7]=>[3,2,6,4,8,5,1,7]=>{{1,3,5,6,7,8},{2},{4}}=>9
[7,8,1,3,5,6,2,4]=>[6,5,2,1,7,8,4,3]=>{{1,2,3,4,5,6,7,8}}=>0
[1,7,8,3,5,6,2,4]=>[1,6,5,2,7,8,4,3]=>{{1},{2,3,4,5,6,7,8}}=>0
[5,3,7,8,4,1,6,2]=>[7,8,3,5,1,4,2,6]=>{{1,2,4,5,6,7,8},{3}}=>5
[5,1,3,7,8,4,2,6]=>[3,1,8,7,5,2,6,4]=>{{1,2,3,4,6,7,8},{5}}=>3
[3,6,2,1,4,5,8,7]=>[6,3,1,2,4,5,8,7]=>{{1,2,3,4,5,6},{7,8}}=>0
[8,6,1,7,3,2,4,5]=>[6,8,2,7,3,5,4,1]=>{{1,2,3,5,6,8},{4,7}}=>1
[6,8,2,7,3,1,4,5]=>[8,6,1,7,3,5,4,2]=>{{1,2,3,5,6,8},{4,7}}=>1
[4,2,3,8,1,5,6,7]=>[2,3,8,4,1,5,6,7]=>{{1,2,3,5,6,7,8},{4}}=>4
[5,2,8,3,7,1,4,6]=>[2,8,5,1,7,4,6,3]=>{{1,2,3,4,5,6,7,8}}=>0
[2,1,5,8,4,3,6,7]=>[2,1,8,5,3,4,6,7]=>{{1,2},{3,4,5,6,7,8}}=>0
[4,1,3,8,2,5,6,7]=>[3,1,8,4,2,5,6,7]=>{{1,2,3,5,6,7,8},{4}}=>4
[5,1,8,3,7,2,4,6]=>[8,1,5,2,7,4,6,3]=>{{1,2,3,4,5,6,7,8}}=>0
[5,1,8,4,6,2,3,7]=>[5,1,4,8,6,3,2,7]=>{{1,2,3,4,5,6,7,8}}=>0
[5,8,4,1,6,2,3,7]=>[5,4,8,3,6,2,1,7]=>{{1,2,3,4,5,6,7,8}}=>0
[5,4,8,1,6,2,3,7]=>[5,8,4,3,6,2,1,7]=>{{1,2,5,6,7,8},{3,4}}=>4
[2,4,3,8,1,5,6,7]=>[3,2,8,4,1,5,6,7]=>{{1,3,5,6,7,8},{2},{4}}=>9
[3,1,8,4,2,5,6,7]=>[4,1,3,8,2,5,6,7]=>{{1,2,4,5,6,7,8},{3}}=>5
[3,8,4,2,1,5,6,7]=>[8,3,4,1,2,5,6,7]=>{{1,2,3,4,5,6,7,8}}=>0
[2,3,8,4,1,5,6,7]=>[4,2,3,8,1,5,6,7]=>{{1,4,5,6,7,8},{2},{3}}=>10
[3,8,5,2,7,1,4,6]=>[8,3,5,1,7,4,6,2]=>{{1,2,3,4,5,6,7,8}}=>0
[3,2,8,4,1,5,6,7]=>[2,4,3,8,1,5,6,7]=>{{1,2,4,5,6,7,8},{3}}=>5
[5,7,4,3,8,2,6,1]=>[7,4,8,1,5,2,3,6]=>{{1,2,3,4,6,7,8},{5}}=>3
[3,8,4,2,1,6,7,5]=>[6,3,4,1,2,7,8,5]=>{{1,2,3,4,5,6,7,8}}=>0
[6,7,4,8,3,1,2,5]=>[7,6,8,4,1,5,3,2]=>{{1,2,3,5,6,7,8},{4}}=>4
[6,1,3,4,8,2,5,7]=>[3,1,4,8,6,5,2,7]=>{{1,2,3,4,7,8},{5,6}}=>2
[6,2,3,4,8,1,5,7]=>[2,3,4,8,6,5,1,7]=>{{1,2,3,4,7,8},{5,6}}=>2
[6,7,5,8,4,1,3,2]=>[7,6,8,5,1,4,2,3]=>{{1,2,4,5,6,7},{3,8}}=>0
[6,7,4,8,1,2,3,5]=>[7,6,8,4,3,5,2,1]=>{{1,2,3,5,6,7,8},{4}}=>4
[2,8,3,4,7,5,6,1]=>[3,2,4,7,8,1,5,6]=>{{1,3,4,5,6,7,8},{2}}=>6
[4,8,1,6,7,2,5,3]=>[8,4,2,6,7,5,1,3]=>{{1,2,3,4,5,6,7,8}}=>0
[8,2,1,7,4,3,6,5]=>[2,7,1,8,3,5,4,6]=>{{1,2,3,4,5,6,7,8}}=>0
[8,4,5,7,6,3,2,1]=>[4,8,6,5,7,1,2,3]=>{{1,2,3,4,5,6,7,8}}=>0
[1,4,8,5,7,6,2,3]=>[1,7,4,5,6,8,3,2]=>{{1},{2,3,4,5,6,7,8}}=>0
[4,3,8,6,5,7,2,1]=>[4,6,3,5,8,7,1,2]=>{{1,2,4,5,6,7,8},{3}}=>5
[5,2,7,8,6,3,4,1]=>[2,8,6,5,7,3,1,4]=>{{1,2,4,5,7,8},{3,6}}=>2
[7,8,1,2,6,3,4,5]=>[7,6,2,3,8,5,4,1]=>{{1,2,3,4,5,6,7,8}}=>0
[3,5,8,1,4,6,7,2]=>[6,5,3,2,1,7,8,4]=>{{1,2,4,5,6,7,8},{3}}=>5
[6,2,1,8,4,5,3,7]=>[2,8,1,6,3,4,5,7]=>{{1,2,3,5,7,8},{4,6}}=>2
[6,1,5,7,8,4,3,2]=>[7,1,8,6,5,2,3,4]=>{{1,2,3,4,6,7,8},{5}}=>3
[3,1,8,4,5,6,7,2]=>[4,1,3,5,6,7,8,2]=>{{1,2,4,5,6,7,8},{3}}=>5
[3,6,2,8,5,1,4,7]=>[6,3,1,5,8,4,2,7]=>{{1,2,3,4,5,6,7,8}}=>0
[7,2,1,8,5,3,4,6]=>[2,7,1,5,8,4,6,3]=>{{1,2,3,4,5,6,7,8}}=>0
[6,5,7,1,8,4,3,2]=>[7,8,6,3,5,1,2,4]=>{{1,2,3,4,6,7,8},{5}}=>3
[5,7,6,1,8,4,3,2]=>[8,6,7,3,5,1,2,4]=>{{1,2,3,4,6,7,8},{5}}=>3
[7,1,6,5,3,2,4,8]=>[5,1,6,7,3,4,2,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[8,7,4,2,5,3,6,1]=>[4,5,7,2,8,1,3,6]=>{{1,2,4,5,6,8},{3,7}}=>1
[7,1,5,3,6,4,2,8]=>[5,1,7,2,6,3,4,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[1,5,3,8,7,4,2,6]=>[1,3,8,5,7,2,6,4]=>{{1},{2,3,4,5,6,7,8}}=>0
[8,6,3,5,7,4,2,1]=>[3,5,7,8,6,1,2,4]=>{{1,2,3,5,6,7},{4,8}}=>0
[6,3,8,5,2,1,7,4]=>[5,6,3,7,2,4,8,1]=>{{1,2,4,5,6,7,8},{3}}=>5
[6,1,8,7,4,2,5,3]=>[8,1,6,7,2,5,3,4]=>{{1,2,3,4,5,6,7,8}}=>0
[7,5,8,6,3,2,4,1]=>[6,8,5,7,2,3,1,4]=>{{1,2,3,4,5,6,7,8}}=>0
[8,7,4,2,5,3,1,6]=>[4,5,7,2,8,1,6,3]=>{{1,2,3,4,5,6,7,8}}=>0
[5,3,1,8,7,4,2,6]=>[3,8,2,5,7,1,6,4]=>{{1,2,3,4,5,6,7,8}}=>0
[6,3,1,8,5,2,7,4]=>[3,6,2,5,7,4,8,1]=>{{1,2,3,4,5,6,7,8}}=>0
[7,4,8,5,2,1,6,3]=>[5,8,4,7,2,3,1,6]=>{{1,2,3,4,5,6,7,8}}=>0
[1,7,4,6,3,8,5,2]=>[1,4,8,7,2,6,3,5]=>{{1},{2,3,4,5,7,8},{6}}=>2
[3,6,5,2,1,4,8,7]=>[6,3,5,1,4,2,8,7]=>{{1,2,3,4,5,6},{7,8}}=>0
[4,1,7,5,8,3,2,6]=>[8,1,4,7,5,2,6,3]=>{{1,2,3,4,6,7,8},{5}}=>3
[2,1,5,8,7,4,3,6]=>[2,1,8,5,7,3,6,4]=>{{1,2},{3,4,5,6,7,8}}=>0
[4,7,2,8,3,6,1,5]=>[7,6,1,4,2,8,5,3]=>{{1,2,3,5,6,7,8},{4}}=>4
[6,2,8,4,1,7,3,5]=>[2,6,4,8,3,7,5,1]=>{{1,2,3,4,5,6,7,8}}=>0
[6,3,4,8,1,7,2,5]=>[3,8,6,4,2,7,5,1]=>{{1,2,3,5,6,7,8},{4}}=>4
[5,3,4,8,1,2,7,6]=>[3,7,5,4,2,1,8,6]=>{{1,2,3,5,6,7,8},{4}}=>4
[7,4,3,8,1,6,2,5]=>[3,6,7,4,2,8,5,1]=>{{1,2,3,5,6,7,8},{4}}=>4
[4,6,3,8,1,7,2,5]=>[6,3,8,4,2,7,5,1]=>{{1,2,3,5,6,7,8},{4}}=>4
[2,6,8,4,1,7,3,5]=>[6,2,4,8,3,7,5,1]=>{{1,3,4,5,6,7,8},{2}}=>6
[1,8,7,4,2,6,3,5]=>[1,4,6,7,3,8,5,2]=>{{1},{2,3,4,5,6,7,8}}=>0
[5,7,3,8,6,1,2,4]=>[6,3,8,5,7,4,2,1]=>{{1,2,3,4,5,6,7,8}}=>0
[3,7,5,8,6,1,2,4]=>[8,3,6,5,7,4,2,1]=>{{1,8},{2,3,4,5,6,7}}=>1
[6,2,8,7,5,1,3,4]=>[2,7,5,6,8,4,3,1]=>{{1,2,3,5,7,8},{4,6}}=>2
[3,6,7,8,5,1,2,4]=>[7,6,3,5,8,4,2,1]=>{{1,2,4,5,6,7,8},{3}}=>5
[4,8,6,1,3,2,5,7]=>[8,4,6,3,1,5,2,7]=>{{1,2,3,4,5,6,7,8}}=>0
[4,2,1,8,7,3,5,6]=>[2,7,1,4,8,5,6,3]=>{{1,2,3,5,6,7,8},{4}}=>4
[5,1,6,3,2,8,7,4]=>[7,1,5,2,4,6,8,3]=>{{1,2,3,4,5,7,8},{6}}=>2
[8,7,2,3,5,4,1,6]=>[5,7,1,2,8,3,6,4]=>{{1,2,3,4,5,6,7,8}}=>0
[5,3,1,4,8,7,2,6]=>[3,4,2,7,5,8,6,1]=>{{1,2,3,4,6,7,8},{5}}=>3
[3,4,2,8,6,1,5,7]=>[6,3,1,4,8,5,2,7]=>{{1,2,3,5,6,7,8},{4}}=>4
[8,1,4,2,3,6,7,5]=>[4,1,6,3,2,7,8,5]=>{{1,2,3,4,5,6,7,8}}=>0
[1,7,6,3,5,8,2,4]=>[1,5,7,2,8,6,4,3]=>{{1},{2,3,4,5,7,8},{6}}=>2
[7,5,8,2,6,3,1,4]=>[6,8,5,2,7,3,4,1]=>{{1,2,3,4,5,6,7,8}}=>0
[4,7,3,8,5,2,1,6]=>[5,3,7,4,8,1,6,2]=>{{1,2,3,5,6,7,8},{4}}=>4
[3,1,7,4,8,5,2,6]=>[4,1,3,8,7,2,6,5]=>{{1,2,4,5,6,7,8},{3}}=>5
[3,8,6,2,7,4,1,5]=>[8,3,6,1,7,4,5,2]=>{{1,2,3,4,6,8},{5,7}}=>1
[6,1,4,8,5,3,2,7]=>[5,1,6,4,8,2,3,7]=>{{1,2,3,5,6,7,8},{4}}=>4
[7,5,8,4,2,3,6,1]=>[5,7,4,8,2,1,3,6]=>{{1,2,3,4,5,6,7,8}}=>0
[8,3,2,5,1,6,7,4]=>[3,5,1,6,4,7,8,2]=>{{1,3},{2,4,5,6,7,8}}=>0
[7,4,1,8,3,2,6,5]=>[7,8,2,4,1,5,3,6]=>{{1,2,3,5,6,7,8},{4}}=>4
[8,3,7,4,2,1,6,5]=>[3,7,4,8,1,5,2,6]=>{{1,3,4,5,6,8},{2,7}}=>1
[3,6,5,8,4,1,7,2]=>[7,3,6,5,1,4,8,2]=>{{1,2,3,4,5,6,7,8}}=>0
[8,2,7,3,4,6,5,1]=>[2,6,7,1,3,8,4,5]=>{{1,2,3,4,5,6,7,8}}=>0
[7,3,8,2,5,6,4,1]=>[5,6,3,1,7,8,2,4]=>{{1,2,4,5,6,7,8},{3}}=>5
[6,1,3,2,4,8,7,5]=>[3,1,7,2,4,6,8,5]=>{{1,2,3,4,5,7,8},{6}}=>2
[8,7,4,2,3,6,1,5]=>[4,6,7,2,1,8,5,3]=>{{1,2,3,4,5,6,7,8}}=>0
[8,7,2,5,4,1,3,6]=>[5,7,1,8,2,4,6,3]=>{{1,2,3,4,5,6,7,8}}=>0
[7,1,8,6,2,4,3,5]=>[7,1,6,8,4,3,5,2]=>{{1,2,4,5,7,8},{3,6}}=>2
[7,6,3,1,4,8,2,5]=>[3,7,8,2,1,6,5,4]=>{{1,2,3,4,5,7,8},{6}}=>2
[6,1,8,2,7,5,3,4]=>[8,1,6,3,7,2,5,4]=>{{1,2,3,4,6,8},{5,7}}=>1
[7,2,6,4,3,8,1,5]=>[2,4,7,8,1,6,5,3]=>{{1,2,3,4,5,7,8},{6}}=>2
[5,3,1,7,4,8,2,6]=>[3,8,2,5,1,7,6,4]=>{{1,2,3,4,5,8},{6,7}}=>1
[8,2,4,1,6,3,7,5]=>[2,4,6,3,7,5,8,1]=>{{1,2,3,4,5,6,7,8}}=>0
[4,7,2,1,6,3,8,5]=>[6,4,1,3,8,5,7,2]=>{{1,2,3,4,5,6,8},{7}}=>1
[7,4,3,8,1,5,2,6]=>[3,7,8,4,2,1,6,5]=>{{1,2,3,5,6,7,8},{4}}=>4
[7,4,8,1,5,3,2,6]=>[5,7,4,3,8,1,6,2]=>{{1,2,5,6,7,8},{3,4}}=>4
[7,1,6,3,4,2,8,5]=>[6,1,8,2,3,5,7,4]=>{{1,2,3,4,5,6,8},{7}}=>1
[8,5,1,3,7,4,2,6]=>[5,8,2,1,7,3,6,4]=>{{1,2,3,4,5,6,7,8}}=>0
[8,6,1,3,7,5,2,4]=>[6,8,2,1,7,3,5,4]=>{{1,2,3,4,6,8},{5,7}}=>1
[5,6,2,8,1,3,7,4]=>[7,6,1,5,4,3,8,2]=>{{1,2,3,6,7,8},{4,5}}=>3
[5,2,1,7,4,8,3,6]=>[2,8,1,5,3,7,6,4]=>{{1,2,3,4,5,8},{6,7}}=>1
[7,1,6,4,5,2,8,3]=>[4,1,5,6,8,3,7,2]=>{{1,2,3,4,5,6,8},{7}}=>1
[4,5,7,2,8,6,1,3]=>[7,6,4,2,5,8,3,1]=>{{1,2,3,4,6,7,8},{5}}=>3
[4,6,7,2,1,5,8,3]=>[8,6,4,2,3,1,7,5]=>{{1,2,3,4,5,6,8},{7}}=>1
[3,7,2,1,5,8,6,4]=>[5,3,1,2,8,7,4,6]=>{{1,2,3,4,5,6,7,8}}=>0
[7,5,4,1,3,8,6,2]=>[4,5,8,3,1,7,2,6]=>{{1,2,3,4,5,6,7,8}}=>0
[6,3,2,8,1,5,7,4]=>[3,7,1,6,4,2,8,5]=>{{1,3},{2,4,5,6,7,8}}=>0
[7,3,6,4,8,1,5,2]=>[3,7,4,8,6,5,1,2]=>{{1,2,3,4,7,8},{5,6}}=>2
[1,8,5,3,6,4,2,7]=>[1,5,8,2,6,3,4,7]=>{{1},{2,3,4,5,6,7,8}}=>0
[8,6,3,2,7,5,4,1]=>[3,6,8,1,7,2,4,5]=>{{1,3,4,5,7,8},{2,6}}=>2
[8,5,7,4,3,6,2,1]=>[4,6,5,7,1,8,2,3]=>{{1,2,3,4,5,6,7,8}}=>0
[5,4,8,3,2,1,7,6]=>[5,7,4,1,2,3,8,6]=>{{1,2,3,4,5,6,7,8}}=>0
[2,7,4,1,8,3,6,5]=>[4,2,8,3,7,5,1,6]=>{{1,3,4,5,6,7,8},{2}}=>6
[3,5,1,8,4,2,7,6]=>[7,3,2,5,1,4,8,6]=>{{1,4,5,6,7,8},{2,3}}=>5
[4,1,5,7,3,6,2,8]=>[6,1,5,4,2,7,3,8]=>{{1,2,3,5,6,7},{4},{8}}=>3
[4,2,5,8,3,1,7,6]=>[2,7,5,4,1,3,8,6]=>{{1,2,3,5,6,7,8},{4}}=>4
[5,3,1,8,6,4,2,7]=>[3,8,2,5,6,1,4,7]=>{{1,2,3,4,5,6,7,8}}=>0
[4,8,1,7,6,2,3,5]=>[7,4,2,6,8,5,3,1]=>{{1,2,3,4,5,6,7,8}}=>0
[7,3,8,1,6,4,2,5]=>[6,7,3,2,8,4,5,1]=>{{1,2,4,5,6,7,8},{3}}=>5
[7,1,8,6,2,5,3,4]=>[7,1,6,8,4,2,5,3]=>{{1,2,3,4,5,6,7,8}}=>0
[2,8,7,1,6,3,5,4]=>[6,2,7,3,8,5,1,4]=>{{1,3,4,5,6,7,8},{2}}=>6
[5,7,8,4,3,1,2,6]=>[7,5,4,8,1,3,6,2]=>{{1,2,3,4,5,6,7,8}}=>0
[5,8,6,4,3,2,1,7]=>[6,4,5,8,1,2,3,7]=>{{1,2,3,4,5,6,7,8}}=>0
[1,7,4,2,6,3,8,5]=>[1,4,6,3,8,5,7,2]=>{{1},{2,3,4,5,6,8},{7}}=>1
[5,7,4,1,2,3,6,8]=>[5,4,7,3,2,1,6,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[4,7,6,3,8,5,1,2]=>[8,4,7,1,6,2,5,3]=>{{1,2,3,4,5,6,7,8}}=>0
[3,7,6,5,1,2,8,4]=>[6,3,5,8,4,2,7,1]=>{{1,2,3,4,5,6,8},{7}}=>1
[4,7,2,6,1,3,8,5]=>[8,4,1,6,3,5,7,2]=>{{1,2,3,4,5,6,8},{7}}=>1
[4,5,6,2,3,8,1,7]=>[8,5,4,2,1,6,3,7]=>{{1,2,3,4,5,7,8},{6}}=>2
[6,5,7,3,8,4,2,1]=>[7,8,6,1,5,2,3,4]=>{{1,2,3,4,6,7,8},{5}}=>3
[6,8,1,5,2,4,3,7]=>[6,5,2,8,4,1,3,7]=>{{1,6},{2,3,4,5,7,8}}=>0
[1,3,7,4,8,6,2,5]=>[1,4,3,7,6,8,5,2]=>{{1},{2,4,5,6,7,8},{3}}=>5
[3,7,8,5,4,1,2,6]=>[7,5,3,8,1,4,6,2]=>{{1,2,4,5,6,7,8},{3}}=>5
[5,7,6,2,8,4,1,3]=>[8,6,7,2,5,1,4,3]=>{{1,2,3,4,6,7,8},{5}}=>3
[8,5,7,4,3,1,6,2]=>[4,7,5,8,1,3,2,6]=>{{1,3,4,5,6,8},{2,7}}=>1
[6,8,5,1,7,2,4,3]=>[7,5,8,3,6,4,1,2]=>{{1,7},{2,3,4,5,6,8}}=>0
[7,8,3,6,2,1,4,5]=>[6,3,7,8,2,5,4,1]=>{{1,2,3,4,5,6,7,8}}=>0
[1,8,7,2,3,5,6,4]=>[1,7,8,3,4,2,5,6]=>{{1},{2,3,4,5,6,7,8}}=>0
[8,2,5,6,7,1,3,4]=>[2,5,8,7,6,4,3,1]=>{{1,2,3,4,5,6,7,8}}=>0
[4,8,7,6,2,3,5,1]=>[8,4,6,7,2,3,1,5]=>{{1,2,4,5,7,8},{3,6}}=>2
[8,1,4,7,2,5,6,3]=>[4,1,8,7,3,2,5,6]=>{{1,2,3,4,5,6,7,8}}=>0
[4,2,6,8,3,1,5,7]=>[2,8,6,4,1,5,3,7]=>{{1,2,3,5,6,7,8},{4}}=>4
[3,7,6,2,4,5,1,8]=>[7,3,6,1,2,4,5,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[4,1,8,2,7,3,5,6]=>[7,1,4,3,8,5,6,2]=>{{1,2,5,6,7,8},{3,4}}=>4
[4,2,8,3,7,5,6,1]=>[2,7,4,1,8,3,5,6]=>{{1,2,3,4,5,6,7,8}}=>0
[5,3,4,8,7,2,6,1]=>[3,8,5,4,7,1,2,6]=>{{1,2,3,5,6,7,8},{4}}=>4
[4,6,3,8,5,7,2,1]=>[5,3,6,4,8,7,1,2]=>{{1,2,3,5,6,7,8},{4}}=>4
[2,6,8,3,7,4,5,1]=>[8,2,6,1,7,4,3,5]=>{{1,3,4,5,6,7,8},{2}}=>6
[2,5,8,3,7,4,6,1]=>[8,2,5,1,7,3,4,6]=>{{1,3,4,5,6,7,8},{2}}=>6
[7,4,6,5,8,3,2,1]=>[4,8,6,7,5,1,2,3]=>{{1,2,3,4,6,7,8},{5}}=>3
[5,2,8,6,4,7,3,1]=>[2,8,5,6,1,7,3,4]=>{{1,2,3,4,5,6,7,8}}=>0
[4,2,8,5,6,7,3,1]=>[2,8,4,5,6,7,1,3]=>{{1,2,3,4,5,6,7,8}}=>0
[1,8,3,5,7,4,6,2]=>[1,3,5,8,7,2,4,6]=>{{1},{2,3,4,5,6,7,8}}=>0
[7,4,2,3,8,1,6,5]=>[4,8,1,2,7,5,3,6]=>{{1,2,3,4,5,6,7,8}}=>0
[8,2,6,3,7,1,4,5]=>[2,6,8,1,7,5,4,3]=>{{1,2,4,5,6,7},{3,8}}=>0
[8,6,1,2,7,4,5,3]=>[6,8,2,3,7,4,1,5]=>{{1,2,3,4,5,6,7,8}}=>0
[8,5,7,1,2,4,6,3]=>[5,8,7,3,4,1,2,6]=>{{1,2,3,4,5,6,7,8}}=>0
[8,6,2,7,1,3,5,4]=>[6,8,1,7,4,5,2,3]=>{{1,2,3,4,5,6,7,8}}=>0
[3,6,8,1,2,5,7,4]=>[7,6,3,2,4,1,8,5]=>{{1,2,4,5,6,7,8},{3}}=>5
[3,7,2,4,8,1,6,5]=>[4,3,1,8,7,5,2,6]=>{{1,2,3,4,5,6,7,8}}=>0
[5,3,8,1,6,2,4,7]=>[5,8,3,2,6,4,1,7]=>{{1,2,4,5,6,7,8},{3}}=>5
[6,1,7,5,2,3,4,8]=>[6,1,5,7,4,3,2,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[7,2,8,1,6,3,4,5]=>[2,7,6,3,8,5,4,1]=>{{1,2,3,4,5,6,7,8}}=>0
[6,8,2,7,1,4,5,3]=>[8,6,1,7,4,3,2,5]=>{{1,2,3,4,5,6,7,8}}=>0
[4,8,7,1,3,5,6,2]=>[8,4,7,3,1,2,5,6]=>{{1,2,3,4,5,6,7,8}}=>0
[4,8,7,1,2,3,6,5]=>[8,4,7,3,2,5,1,6]=>{{1,2,3,4,5,6,7,8}}=>0
[6,1,3,4,7,2,5,8]=>[3,1,4,7,6,5,2,8]=>{{1,2,3,4,7},{5,6},{8}}=>1
[7,8,2,1,6,3,5,4]=>[7,6,1,3,8,5,2,4]=>{{1,2,3,4,5,6,7,8}}=>0
[1,2,8,7,5,4,3,6]=>[1,2,5,7,8,3,6,4]=>{{1},{2},{3,4,5,6,7,8}}=>0
[5,2,7,1,4,6,8,3]=>[2,6,5,3,1,8,7,4]=>{{1,2,3,4,5,6,8},{7}}=>1
[5,7,4,1,2,6,3,8]=>[5,4,6,3,2,7,1,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[3,7,2,8,4,1,6,5]=>[8,3,1,7,2,5,4,6]=>{{1,2,3,5,6,8},{4,7}}=>1
[5,1,3,4,6,7,2,8]=>[3,1,4,7,5,6,2,8]=>{{1,2,3,4,7},{5},{6},{8}}=>2
[8,2,4,1,7,3,5,6]=>[2,4,7,3,8,5,6,1]=>{{1,2,3,4,5,6,7,8}}=>0
[7,4,1,3,8,2,6,5]=>[4,8,2,1,7,5,3,6]=>{{1,4},{2,3,5,6,7,8}}=>0
[4,8,2,3,1,5,7,6]=>[7,4,1,2,3,5,8,6]=>{{1,3,5,6,7,8},{2,4}}=>4
[4,7,1,3,8,2,6,5]=>[8,4,2,1,7,5,3,6]=>{{1,2,3,4,5,6,7,8}}=>0
[3,8,4,6,5,2,1,7]=>[6,3,4,5,8,1,2,7]=>{{1,6},{2,3,4,5,7,8}}=>0
[4,2,3,8,5,7,1,6]=>[2,3,5,4,7,8,6,1]=>{{1,2,3,5,6,7,8},{4}}=>4
[5,8,2,6,4,3,1,7]=>[8,5,1,6,2,3,4,7]=>{{1,3,4,6,7,8},{2,5}}=>3
[7,2,5,8,4,3,1,6]=>[2,7,8,5,1,3,6,4]=>{{1,2,3,4,5,6,7,8}}=>0
[3,8,4,5,6,2,1,7]=>[8,3,4,5,6,1,2,7]=>{{1,2,3,4,5,6,7,8}}=>0
[5,3,1,8,4,7,2,6]=>[3,7,2,5,1,8,6,4]=>{{1,2,3,4,5,6,7,8}}=>0
[7,5,3,6,4,8,2,1]=>[3,5,8,7,1,6,2,4]=>{{1,2,3,4,5,7,8},{6}}=>2
[2,1,8,7,5,3,6,4]=>[2,1,5,7,8,4,3,6]=>{{1,2},{3,4,5,6,7,8}}=>0
[5,8,3,7,4,1,6,2]=>[5,3,8,7,1,4,2,6]=>{{1,5},{2,3,4,6,7,8}}=>0
[5,7,1,4,8,6,3,2]=>[6,4,2,7,5,8,1,3]=>{{1,2,3,4,6,7,8},{5}}=>3
[6,1,7,4,5,8,3,2]=>[5,1,4,7,8,6,2,3]=>{{1,2,3,4,5,7,8},{6}}=>2
[8,5,3,6,1,4,7,2]=>[3,5,7,6,4,1,8,2]=>{{1,2,3,4,5,6,7,8}}=>0
[5,7,3,8,4,1,6,2]=>[7,3,8,5,1,4,2,6]=>{{1,2,3,4,5,6,7,8}}=>0
[8,4,1,2,5,6,7,3]=>[4,5,2,3,6,7,8,1]=>{{1,2,3,4,5,6,7,8}}=>0
[3,7,8,4,1,6,5,2]=>[6,4,3,7,2,8,1,5]=>{{1,2,4,5,6,7,8},{3}}=>5
[8,5,1,7,2,6,4,3]=>[5,7,2,6,4,8,1,3]=>{{1,2,3,4,5,6,7,8}}=>0
[7,6,3,1,5,2,8,4]=>[3,5,6,2,8,4,7,1]=>{{1,2,3,4,5,6,8},{7}}=>1
[2,5,8,1,7,4,3,6]=>[8,2,5,3,7,1,6,4]=>{{1,3,4,5,6,7,8},{2}}=>6
[4,2,7,3,1,8,5,6]=>[2,8,4,1,3,7,6,5]=>{{1,2,3,4,5,8},{6,7}}=>1
[5,8,4,2,6,7,1,3]=>[5,4,8,2,6,7,3,1]=>{{1,3,5,6,7,8},{2,4}}=>4
[3,4,8,2,1,6,5,7]=>[6,4,3,1,2,8,5,7]=>{{1,2,4,5,6,7,8},{3}}=>5
[6,8,3,7,2,1,5,4]=>[6,3,8,7,2,5,1,4]=>{{1,2,3,4,5,6,7,8}}=>0
[2,4,3,8,7,1,5,6]=>[3,2,7,4,8,5,6,1]=>{{1,3,5,6,7,8},{2},{4}}=>9
[3,8,5,4,2,1,7,6]=>[5,3,4,7,1,2,8,6]=>{{1,5},{2,3,4,6,7,8}}=>0
[3,2,8,7,5,4,1,6]=>[2,5,3,7,8,1,6,4]=>{{1,2,4,5,6,7,8},{3}}=>5
[7,6,2,3,4,8,5,1]=>[7,8,1,2,3,6,4,5]=>{{1,2,3,4,5,7,8},{6}}=>2
[7,8,2,3,5,1,4,6]=>[7,5,1,2,8,4,6,3]=>{{1,2,3,4,5,6,7,8}}=>0
[5,7,1,4,8,3,6,2]=>[7,4,2,8,5,1,3,6]=>{{1,2,3,4,6,7,8},{5}}=>3
[8,5,2,6,1,7,3,4]=>[5,8,1,6,4,7,3,2]=>{{1,3,4,5,6,7},{2,8}}=>0
[7,4,2,8,1,3,6,5]=>[7,8,1,4,3,5,2,6]=>{{1,2,3,5,6,7,8},{4}}=>4
[3,6,8,4,1,2,7,5]=>[6,4,3,7,2,5,8,1]=>{{1,2,4,5,6,7,8},{3}}=>5
[8,1,2,4,3,5,6,7]=>[4,1,2,8,3,5,6,7]=>{{1,2,3,4,5,6,7,8}}=>0
[5,8,7,4,6,3,2,1]=>[6,4,5,8,7,1,2,3]=>{{1,6},{2,3,4,5,7,8}}=>0
[3,8,7,6,5,2,4,1]=>[6,3,5,7,8,2,1,4]=>{{1,2,3,4,5,6,7,8}}=>0
[3,8,7,6,5,2,1,4]=>[6,3,5,7,8,2,4,1]=>{{1,2,3,5,6,8},{4,7}}=>1
[3,5,2,7,6,4,1,8]=>[7,3,1,5,6,2,4,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[3,5,2,7,6,1,4,8]=>[7,3,1,5,6,4,2,8]=>{{1,2,3,7},{4,5,6},{8}}=>1
[3,7,5,4,1,8,2,6]=>[5,3,4,8,2,7,6,1]=>{{1,2,3,4,5,8},{6,7}}=>1
[3,7,5,1,4,8,6,2]=>[8,3,5,2,1,7,4,6]=>{{1,2,3,4,5,6,7,8}}=>0
[3,5,2,7,4,1,6,8]=>[7,3,1,5,2,4,6,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[3,5,4,7,2,1,6,8]=>[7,3,5,4,1,2,6,8]=>{{1,2,3,5,6,7},{4},{8}}=>3
[3,5,4,2,7,1,6,8]=>[7,3,4,1,5,2,6,8]=>{{1,2,3,4,6,7},{5},{8}}=>2
[3,7,5,2,1,8,6,4]=>[8,3,5,1,4,7,2,6]=>{{1,2,3,4,5,6,7,8}}=>0
[3,7,2,5,1,8,6,4]=>[5,3,1,8,4,7,2,6]=>{{1,2,3,4,5,6,7,8}}=>0
[3,2,7,5,1,8,6,4]=>[2,5,3,8,4,7,1,6]=>{{1,2,4,5,6,7,8},{3}}=>5
[3,7,2,5,1,8,4,6]=>[5,3,1,8,4,7,6,2]=>{{1,2,3,4,5,8},{6,7}}=>1
[2,7,3,6,8,4,1,5]=>[3,2,7,8,6,4,5,1]=>{{1,3,4,5,6,7,8},{2}}=>6
[2,1,8,3,4,7,5,6]=>[2,1,7,3,4,8,6,5]=>{{1,2},{3,4,5,6,7,8}}=>0
[5,8,7,2,4,1,6,3]=>[8,5,7,2,1,4,3,6]=>{{1,2,4,5,6,8},{3,7}}=>1
[3,2,6,8,1,5,4,7]=>[2,8,3,6,4,1,5,7]=>{{1,2,4,5,6,7,8},{3}}=>5
[8,3,2,5,6,1,4,7]=>[3,5,1,8,6,4,2,7]=>{{1,3},{2,4,5,6,7,8}}=>0
[3,2,6,8,7,1,5,4]=>[2,8,3,6,7,5,1,4]=>{{1,2,4,5,6,7,8},{3}}=>5
[8,7,3,2,5,6,1,4]=>[3,5,6,1,7,8,4,2]=>{{1,2,3,4,5,6,7,8}}=>0
[3,2,8,5,7,1,4,6]=>[2,5,3,8,7,4,6,1]=>{{1,2,4,5,6,7,8},{3}}=>5
[8,1,4,6,3,5,2,7]=>[4,1,8,6,2,3,5,7]=>{{1,2,3,4,5,6,7,8}}=>0
[8,3,5,4,1,6,2,7]=>[3,5,4,6,2,8,1,7]=>{{1,3,4,6,7,8},{2,5}}=>3
[2,1,8,5,3,4,7,6]=>[2,1,5,7,4,3,8,6]=>{{1,2},{3,4,5,6,7,8}}=>0
[6,8,2,3,1,7,5,4]=>[8,6,1,2,4,7,3,5]=>{{1,2,3,4,5,6,7,8}}=>0
[5,7,8,2,4,3,1,6]=>[8,7,5,2,1,3,6,4]=>{{1,2,3,4,5,6,7,8}}=>0
[7,1,6,3,5,8,2,4]=>[5,1,7,2,8,6,4,3]=>{{1,2,3,4,5,7,8},{6}}=>2
[8,7,4,2,5,1,6,3]=>[4,5,7,2,8,3,1,6]=>{{1,2,3,4,5,6,7,8}}=>0
[8,1,4,5,2,6,7,3]=>[4,1,6,5,3,7,8,2]=>{{1,2,3,4,5,6,7,8}}=>0
[5,2,4,8,6,7,1,3]=>[2,5,8,4,6,7,3,1]=>{{1,2,3,5,6,7,8},{4}}=>4
[7,3,5,2,4,6,1,8]=>[3,6,5,1,2,7,4,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[5,7,3,2,4,6,1,8]=>[5,3,6,1,2,7,4,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[5,7,3,2,4,1,6,8]=>[5,3,7,1,2,4,6,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[5,1,3,2,7,4,6,8]=>[3,1,7,2,5,4,6,8]=>{{1,2,3,4,6,7},{5},{8}}=>2
[7,1,3,2,5,4,6,8]=>[3,1,5,2,7,4,6,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[1,7,3,2,5,4,6,8]=>[1,3,5,2,7,4,6,8]=>{{1},{2,3,4,5,6,7},{8}}=>0
[5,7,3,1,2,4,6,8]=>[5,3,7,2,4,1,6,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[7,3,1,2,5,4,6,8]=>[3,5,2,1,7,4,6,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[5,3,1,2,7,4,6,8]=>[3,7,2,1,5,4,6,8]=>{{1,2,3,4,6,7},{5},{8}}=>2
[7,3,1,5,2,4,6,8]=>[3,5,2,7,4,1,6,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[3,7,2,1,5,4,6,8]=>[5,3,1,2,7,4,6,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[1,9,2,8,7,6,5,4,3]=>[1,6,2,7,8,9,3,4,5]=>{{1},{2,3,4,5,6,7,8,9}}=>0
[2,8,5,1,7,6,4,3]=>[5,2,7,3,6,8,1,4]=>{{1,3,4,5,6,7,8},{2}}=>6
[8,5,6,3,7,4,2,1]=>[5,8,7,1,6,2,3,4]=>{{1,2,4,5,6,8},{3,7}}=>1
[8,7,6,3,4,1,5,2]=>[6,7,8,1,2,5,3,4]=>{{1,2,3,4,5,6,7,8}}=>0
[3,7,5,1,6,4,8,2]=>[8,3,5,2,6,1,7,4]=>{{1,2,3,4,5,6,8},{7}}=>1
[3,5,2,4,8,1,6,7]=>[4,3,1,8,5,2,6,7]=>{{1,2,3,4,6,7,8},{5}}=>3
[1,5,6,4,8,7,2,3]=>[1,6,4,8,5,7,3,2]=>{{1},{2,3,4,6,7,8},{5}}=>3
[7,1,3,2,5,8,4,6]=>[3,1,5,2,8,7,6,4]=>{{1,2,3,4,5,8},{6,7}}=>1
[1,6,4,2,8,5,3,7]=>[1,4,8,3,6,2,5,7]=>{{1},{2,3,4,5,6,7,8}}=>0
[7,6,5,8,3,1,4,2]=>[6,7,8,5,2,4,1,3]=>{{1,2,4,5,6,7},{3,8}}=>0
[7,2,3,1,5,8,6,4]=>[2,3,5,1,8,7,4,6]=>{{1,2,3,4,5,6,7,8}}=>0
[7,3,6,5,1,4,8,2]=>[3,6,5,8,4,1,7,2]=>{{1,2,3,4,5,6,8},{7}}=>1
[7,2,3,1,4,8,6,5]=>[2,3,8,1,4,7,5,6]=>{{1,2,3,4,5,6,7,8}}=>0
[7,1,3,2,4,8,5,6]=>[3,1,8,2,4,7,6,5]=>{{1,2,3,4,5,8},{6,7}}=>1
[4,6,2,1,3,7,5,8]=>[7,4,1,3,2,6,5,8]=>{{1,2,3,4,5,7},{6},{8}}=>1
[4,6,2,7,1,3,5,8]=>[7,6,1,4,3,5,2,8]=>{{1,2,3,5,6,7},{4},{8}}=>3
[6,4,2,5,3,8,1,7]=>[4,8,1,5,2,6,3,7]=>{{1,2,3,4,5,7,8},{6}}=>2
[6,8,4,5,7,2,3,1]=>[5,4,8,7,6,2,1,3]=>{{1,2,4,5,6,7},{3,8}}=>0
[2,8,6,1,4,7,5,3]=>[6,2,8,3,1,7,4,5]=>{{1,3,4,5,6,7,8},{2}}=>6
[2,6,1,4,8,5,3,7]=>[4,2,1,8,6,3,5,7]=>{{1,3,4,5,6,7,8},{2}}=>6
[4,2,3,8,6,1,7,5]=>[2,3,6,4,7,5,8,1]=>{{1,2,3,5,6,7,8},{4}}=>4
[6,4,8,5,2,3,7,1]=>[5,7,4,6,2,1,8,3]=>{{1,2,3,4,5,6,7,8}}=>0
[4,2,8,3,1,6,7,5]=>[2,6,4,1,3,7,8,5]=>{{1,2,3,4,5,6,7,8}}=>0
[2,4,1,8,3,6,7,5]=>[6,2,1,4,3,7,8,5]=>{{1,3,5,6,7,8},{2},{4}}=>9
[6,4,8,2,5,3,7,1]=>[5,6,4,2,7,1,8,3]=>{{1,2,3,4,5,6,7,8}}=>0
[2,8,1,4,6,7,3,5]=>[4,2,1,6,8,7,5,3]=>{{1,3,4,5,6,7,8},{2}}=>6
[1,6,7,5,8,2,3,4]=>[1,7,6,8,5,4,3,2]=>{{1},{2,3,4,6,7,8},{5}}=>3
[5,2,8,3,1,4,6,7]=>[2,8,5,1,4,3,6,7]=>{{1,2,3,4,5,6,7,8}}=>0
[5,8,1,4,3,6,2,7]=>[5,4,2,6,1,8,3,7]=>{{1,5},{2,3,4,6,7,8}}=>0
[4,2,8,3,5,7,1,6]=>[2,5,4,1,7,8,6,3]=>{{1,2,3,4,5,6,7,8}}=>0
[5,2,3,8,4,1,7,6]=>[2,3,7,5,1,4,8,6]=>{{1,2,3,4,5,6,7,8}}=>0
[7,2,8,5,1,3,4,6]=>[2,7,5,8,4,3,6,1]=>{{1,2,3,4,5,6,7,8}}=>0
[1,5,3,7,6,8,4,2]=>[1,3,8,5,7,6,2,4]=>{{1},{2,3,4,5,7,8},{6}}=>2
[1,4,3,7,8,5,2,6]=>[1,3,8,4,7,2,6,5]=>{{1},{2,3,5,6,7,8},{4}}=>4
[3,8,5,6,1,7,2,4]=>[8,3,5,6,4,7,2,1]=>{{1,8},{2,3,4,5,6,7}}=>1
[6,4,8,3,1,7,5,2]=>[6,8,4,1,3,7,2,5]=>{{1,2,3,4,5,6,7,8}}=>0
[4,6,3,8,2,7,5,1]=>[6,3,8,4,1,7,2,5]=>{{1,2,3,5,6,7,8},{4}}=>4
[6,4,8,1,3,7,5,2]=>[6,8,4,3,1,7,2,5]=>{{1,2,5,6,7,8},{3,4}}=>4
[7,8,4,2,5,3,1,6]=>[5,4,7,2,8,1,6,3]=>{{1,3,5,6,7,8},{2,4}}=>4
[8,6,3,1,7,5,2,4]=>[3,6,8,2,7,1,5,4]=>{{1,2,3,4,6,8},{5,7}}=>1
[4,2,7,6,3,1,8,5]=>[2,8,4,6,1,5,7,3]=>{{1,2,3,4,5,6,8},{7}}=>1
[1,8,2,7,6,4,3,5]=>[1,6,2,7,8,4,5,3]=>{{1},{2,3,4,5,6,7,8}}=>0
[8,3,5,7,6,4,2,1]=>[3,8,5,6,7,1,2,4]=>{{1,2,3,4,5,6,7,8}}=>0
[8,4,2,5,7,6,3,1]=>[4,7,1,5,6,8,2,3]=>{{1,3,4,5,6,8},{2,7}}=>1
[5,2,8,6,3,7,4,1]=>[2,8,5,6,3,7,1,4]=>{{1,2,4,6,7,8},{3,5}}=>3
[8,4,7,5,2,6,3,1]=>[4,7,5,6,2,8,1,3]=>{{1,2,3,4,5,6,7,8}}=>0
[1,8,2,7,5,3,6,4]=>[1,5,2,7,8,4,3,6]=>{{1},{2,3,4,5,6,7,8}}=>0
[5,2,8,7,4,1,6,3]=>[2,8,5,7,1,4,3,6]=>{{1,2,3,4,5,6,7,8}}=>0
[7,4,1,5,2,8,6,3]=>[4,8,2,5,3,7,1,6]=>{{1,2,3,4,5,6,7,8}}=>0
[7,6,3,1,4,2,8,5]=>[3,6,8,2,1,5,7,4]=>{{1,2,3,4,5,6,8},{7}}=>1
[6,4,8,7,5,2,1,3]=>[6,7,4,5,8,2,3,1]=>{{1,2,3,4,5,6,7,8}}=>0
[6,3,1,4,8,7,5,2]=>[3,4,2,8,6,7,1,5]=>{{1,2,3,4,5,6,7,8}}=>0
[8,5,7,6,3,1,4,2]=>[5,8,6,7,2,4,1,3]=>{{1,2,3,4,5,6,7,8}}=>0
[1,8,2,5,7,6,4,3]=>[1,5,2,7,6,8,3,4]=>{{1},{2,3,4,5,6,7,8}}=>0
[1,8,2,6,4,7,5,3]=>[1,6,2,8,3,7,4,5]=>{{1},{2,3,4,5,6,7,8}}=>0
[7,5,2,1,6,4,8,3]=>[5,8,1,3,6,2,7,4]=>{{1,2,3,4,5,6,8},{7}}=>1
[6,3,5,2,7,4,1,8]=>[3,7,6,1,5,2,4,8]=>{{1,2,3,4,6,7},{5},{8}}=>2
[4,5,7,2,6,3,1,8]=>[7,5,4,2,6,1,3,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[3,5,8,4,6,1,7,2]=>[5,4,3,7,6,2,8,1]=>{{1,2,4,5,6,7,8},{3}}=>5
[1,4,7,3,5,2,6,8]=>[1,5,4,2,7,3,6,8]=>{{1},{2,3,4,5,6,7},{8}}=>0
[8,3,4,6,5,1,7,2]=>[3,6,4,5,7,2,8,1]=>{{1,3,4,5,7,8},{2,6}}=>2
[4,1,7,3,5,2,6,8]=>[5,1,4,2,7,3,6,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[4,8,2,3,1,6,7,5]=>[6,4,1,2,3,7,8,5]=>{{1,3,5,6,7,8},{2,4}}=>4
[3,2,6,8,1,5,7,4]=>[2,7,3,6,4,1,8,5]=>{{1,2,4,5,6,7,8},{3}}=>5
[8,6,2,7,1,5,4,3]=>[6,8,1,7,4,2,3,5]=>{{1,2,3,4,5,6,7,8}}=>0
[7,6,8,3,1,5,4,2]=>[7,8,6,1,4,2,3,5]=>{{1,2,3,4,5,6,7,8}}=>0
[4,5,7,2,8,1,6,3]=>[8,7,4,2,5,3,1,6]=>{{1,2,3,4,6,7,8},{5}}=>3
[5,6,4,8,3,1,7,2]=>[6,5,7,4,1,3,8,2]=>{{1,2,3,5,6,7,8},{4}}=>4
[4,5,3,1,7,2,6,8]=>[4,3,7,2,5,1,6,8]=>{{1,2,3,4,6,7},{5},{8}}=>2
[4,7,3,1,2,6,5,8]=>[4,3,6,2,1,7,5,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[8,4,1,6,2,3,7,5]=>[4,7,2,6,3,5,8,1]=>{{1,2,3,4,5,6,7,8}}=>0
[4,8,3,1,2,5,7,6]=>[4,3,7,2,1,5,8,6]=>{{1,2,3,4,5,6,7,8}}=>0
[6,1,3,4,2,8,5,7]=>[3,1,4,8,2,6,5,7]=>{{1,2,3,4,5,7,8},{6}}=>2
[8,1,4,2,5,7,6,3]=>[4,1,5,3,7,8,2,6]=>{{1,2,3,4,5,7},{6,8}}=>0
[2,8,4,6,3,7,5,1]=>[4,2,8,6,1,7,3,5]=>{{1,3,4,5,6,7,8},{2}}=>6
[8,7,1,3,6,5,4,2]=>[6,7,2,1,8,3,4,5]=>{{1,2,3,4,6,7},{5,8}}=>0
[4,7,5,3,8,2,1,6]=>[8,4,7,1,5,2,6,3]=>{{1,2,3,4,6,7,8},{5}}=>3
[6,1,5,3,8,4,2,7]=>[6,1,8,2,5,3,4,7]=>{{1,2,3,4,6,7,8},{5}}=>3
[8,1,5,4,7,2,6,3]=>[4,1,5,8,7,3,2,6]=>{{1,2,3,4,5,6,7,8}}=>0
[6,3,5,8,7,4,1,2]=>[3,8,7,5,6,1,4,2]=>{{1,3,4,5,6,7},{2,8}}=>0
[1,4,8,7,3,5,6,2]=>[1,8,4,7,2,3,5,6]=>{{1},{2,3,4,5,6,7,8}}=>0
[3,6,8,5,7,4,1,2]=>[7,5,3,8,6,1,4,2]=>{{1,2,4,5,6,7,8},{3}}=>5
[2,8,7,6,4,5,3,1]=>[6,2,7,8,1,3,4,5]=>{{1,3,4,5,6,7,8},{2}}=>6
[3,8,5,7,6,1,4,2]=>[8,3,5,6,7,4,1,2]=>{{1,2,3,5,7,8},{4,6}}=>2
[4,2,6,8,7,1,5,3]=>[2,8,6,4,7,5,1,3]=>{{1,2,3,5,6,7,8},{4}}=>4
[6,1,3,8,2,7,5,4]=>[3,1,8,6,4,7,2,5]=>{{1,2,3,4,5,6,7,8}}=>0
[5,1,8,4,2,7,6,3]=>[5,1,4,7,3,8,2,6]=>{{1,2,3,4,5,7},{6,8}}=>0
[6,8,3,7,1,5,4,2]=>[6,3,8,7,4,1,2,5]=>{{1,6},{2,3,4,5,7,8}}=>0
[4,5,8,6,3,1,7,2]=>[7,6,4,5,1,3,8,2]=>{{1,2,3,4,5,6,7,8}}=>0
[3,6,1,8,2,7,5,4]=>[8,3,2,6,4,7,1,5]=>{{1,4,5,6,7,8},{2,3}}=>5
[5,7,4,1,2,8,6,3]=>[5,4,8,3,2,7,1,6]=>{{1,2,3,4,5,6,7,8}}=>0
[8,1,5,6,3,2,4,7]=>[5,1,8,6,3,4,2,7]=>{{1,2,3,5,7,8},{4,6}}=>2
[1,7,2,4,8,5,3,6]=>[1,4,2,8,7,3,6,5]=>{{1},{2,3,4,5,6,7,8}}=>0
[8,4,7,5,3,6,1,2]=>[4,7,5,6,1,8,3,2]=>{{1,2,3,4,5,6,7,8}}=>0
[8,1,4,6,7,3,5,2]=>[4,1,8,6,7,3,2,5]=>{{1,2,3,4,5,6,7,8}}=>0
[4,7,1,3,6,8,2,5]=>[7,4,2,1,8,6,5,3]=>{{1,2,3,4,5,7,8},{6}}=>2
[1,4,6,3,2,7,8,5]=>[1,8,4,2,3,6,7,5]=>{{1},{2,3,4,5,8},{6},{7}}=>2
[8,7,2,5,4,6,1,3]=>[5,6,1,7,2,8,4,3]=>{{1,2,3,5,6,8},{4,7}}=>1
[8,2,6,7,3,1,5,4]=>[2,6,8,7,3,5,1,4]=>{{1,2,3,4,5,6,7,8}}=>0
[3,7,8,2,1,6,5,4]=>[7,6,3,1,4,8,2,5]=>{{1,2,4,5,6,7,8},{3}}=>5
[8,7,6,1,4,5,3,2]=>[6,7,8,3,1,2,4,5]=>{{1,2,3,4,5,6,7,8}}=>0
[3,8,5,1,6,4,2,7]=>[8,3,5,2,6,1,4,7]=>{{1,2,3,4,5,6,7,8}}=>0
[1,8,5,4,6,3,2,7]=>[1,4,5,8,6,2,3,7]=>{{1},{2,3,4,5,6,7,8}}=>0
[2,5,8,4,7,3,6,1]=>[5,2,4,8,7,1,3,6]=>{{1,3,4,5,6,7,8},{2}}=>6
[4,5,8,1,7,6,2,3]=>[7,5,4,3,6,8,2,1]=>{{1,2,5,6,7,8},{3,4}}=>4
[3,6,4,8,7,5,2,1]=>[8,3,6,4,7,1,2,5]=>{{1,2,3,5,6,7,8},{4}}=>4
[7,2,3,1,8,6,4,5]=>[2,3,7,1,6,8,5,4]=>{{1,2,3,4,5,6,7,8}}=>0
[7,2,3,4,1,6,8,5]=>[2,3,4,6,1,8,7,5]=>{{1,2,3,4,5,6,8},{7}}=>1
[7,3,8,6,1,4,2,5]=>[6,7,3,8,4,2,5,1]=>{{1,2,4,5,6,7,8},{3}}=>5
[7,2,3,8,5,6,4,1]=>[2,3,6,5,7,8,1,4]=>{{1,2,3,4,5,6,7,8}}=>0
[7,6,1,8,5,4,2,3]=>[6,7,2,5,8,1,4,3]=>{{1,6},{2,3,4,5,7,8}}=>0
[5,1,6,4,8,2,7,3]=>[6,1,4,7,5,3,8,2]=>{{1,2,3,4,6,7,8},{5}}=>3
[5,2,6,4,8,1,7,3]=>[2,6,4,7,5,3,8,1]=>{{1,2,3,4,6,7,8},{5}}=>3
[5,4,8,1,6,2,7,3]=>[5,7,4,3,6,2,8,1]=>{{1,2,5,6,7,8},{3,4}}=>4
[4,2,7,3,8,5,6,1]=>[2,8,4,1,7,3,5,6]=>{{1,2,3,4,6,8},{5,7}}=>1
[6,8,5,3,4,7,2,1]=>[6,5,8,1,2,7,3,4]=>{{1,3,4,6,7,8},{2,5}}=>3
[6,8,4,1,5,3,7,2]=>[5,4,6,3,7,1,8,2]=>{{1,2,3,4,5,6,7,8}}=>0
[8,3,4,7,6,2,5,1]=>[3,7,4,6,8,2,1,5]=>{{1,2,3,4,6,7},{5,8}}=>0
[6,8,3,5,1,4,7,2]=>[5,3,6,7,4,1,8,2]=>{{1,2,3,4,5,6,7,8}}=>0
[8,2,1,3,5,6,4,7]=>[2,5,1,3,6,8,4,7]=>{{1,2,3,4,5,6,7,8}}=>0
[8,2,1,3,5,4,7,6]=>[2,5,1,3,7,4,8,6]=>{{1,2,3,4,5,6,7,8}}=>0
[8,2,1,3,4,6,7,5]=>[2,6,1,3,4,7,8,5]=>{{1,2,3,4,5,6,7,8}}=>0
[8,1,3,4,2,6,5,7]=>[3,1,4,6,2,8,5,7]=>{{1,2,3,4,5,6,7,8}}=>0
[8,1,3,4,2,5,7,6]=>[3,1,4,7,2,5,8,6]=>{{1,2,3,4,5,6,7,8}}=>0
[8,1,3,2,5,6,4,7]=>[3,1,5,2,6,8,4,7]=>{{1,2,3,4,5,6,7,8}}=>0
[8,1,2,4,5,3,7,6]=>[4,1,2,5,7,3,8,6]=>{{1,2,3,4,5,6,7,8}}=>0
[8,1,2,4,3,6,7,5]=>[4,1,2,6,3,7,8,5]=>{{1,2,3,4,5,6,7,8}}=>0
[6,5,3,8,4,2,7,1]=>[3,6,7,5,1,2,8,4]=>{{1,3,4,5,7,8},{2,6}}=>2
[7,4,5,1,6,2,8,3]=>[4,8,5,3,6,2,7,1]=>{{1,2,3,4,5,6,8},{7}}=>1
[2,4,7,8,3,5,6,1]=>[8,2,7,4,1,3,5,6]=>{{1,3,5,6,7,8},{2},{4}}=>9
[6,8,4,2,3,7,5,1]=>[6,4,8,2,1,7,3,5]=>{{1,3,5,6,7,8},{2,4}}=>4
[6,4,8,3,2,7,1,5]=>[6,8,4,1,2,7,5,3]=>{{1,2,3,4,5,6,7,8}}=>0
[5,8,3,7,2,1,6,4]=>[5,3,8,7,2,4,1,6]=>{{1,2,3,4,5,6,7,8}}=>0
[6,4,7,3,8,2,1,5]=>[7,8,4,1,6,3,5,2]=>{{1,3,4,5,6,7},{2,8}}=>0
[8,4,3,7,2,1,5,6]=>[3,4,8,7,1,5,6,2]=>{{1,2,3,4,5,6,7,8}}=>0
[1,5,2,7,4,6,8,3]=>[1,6,2,5,3,8,7,4]=>{{1},{2,3,4,5,6,8},{7}}=>1
[5,1,2,8,3,6,7,4]=>[6,1,2,5,4,7,8,3]=>{{1,2,3,6,7,8},{4,5}}=>3
[5,6,3,4,8,7,2,1]=>[4,3,6,8,5,7,1,2]=>{{1,2,3,4,6,7,8},{5}}=>3
[4,1,2,8,3,6,7,5]=>[6,1,2,4,3,7,8,5]=>{{1,2,3,5,6,7,8},{4}}=>4
[6,1,8,2,3,5,7,4]=>[7,1,6,3,4,2,8,5]=>{{1,2,3,4,5,6,7,8}}=>0
[6,1,7,2,3,5,8,4]=>[8,1,6,3,4,2,7,5]=>{{1,2,3,4,5,6,8},{7}}=>1
[8,1,7,2,3,5,6,4]=>[7,1,8,3,4,2,5,6]=>{{1,2,3,4,5,6,7,8}}=>0
[6,8,7,3,4,5,2,1]=>[8,6,7,1,2,3,4,5]=>{{1,2,3,4,5,6,7,8}}=>0
[8,7,1,2,3,4,6,5]=>[7,8,2,3,4,5,1,6]=>{{1,7},{2,3,4,5,6,8}}=>0
[8,6,1,2,3,4,7,5]=>[6,7,2,3,4,5,8,1]=>{{1,2,3,4,5,6,7,8}}=>0
[1,7,6,2,4,5,3,8]=>[1,6,7,3,2,4,5,8]=>{{1},{2,3,4,5,6,7},{8}}=>0
[5,8,3,1,4,2,6,7]=>[5,3,8,2,1,4,6,7]=>{{1,5},{2,3,4,6,7,8}}=>0
[1,6,2,7,8,5,3,4]=>[1,8,2,7,6,3,5,4]=>{{1},{2,3,4,5,6,7,8}}=>0
[8,5,3,1,7,4,2,6]=>[3,5,8,2,7,1,6,4]=>{{1,2,3,4,5,6,7,8}}=>0
[6,7,1,2,3,5,8,4]=>[8,6,2,3,4,1,7,5]=>{{1,2,3,4,5,6,8},{7}}=>1
[2,6,3,8,7,5,4,1]=>[3,2,8,6,7,1,4,5]=>{{1,3,4,5,6,7,8},{2}}=>6
[8,2,3,7,5,4,1,6]=>[2,3,5,7,8,1,6,4]=>{{1,2,3,4,5,6,7,8}}=>0
[8,6,1,5,2,4,3,7]=>[5,6,2,8,4,1,3,7]=>{{1,2,3,4,5,6,7,8}}=>0
[8,6,2,4,1,5,3,7]=>[4,6,1,8,3,2,5,7]=>{{1,3,4,5,7,8},{2,6}}=>2
[8,3,6,1,5,4,2,7]=>[3,6,5,2,8,1,4,7]=>{{1,2,3,4,5,6,7,8}}=>0
[8,3,2,6,5,4,1,7]=>[3,5,1,6,8,2,4,7]=>{{1,3},{2,4,5,6,7,8}}=>0
[8,3,1,7,5,4,2,6]=>[3,5,2,7,8,1,6,4]=>{{1,2,3,4,5,6,7,8}}=>0
[8,2,7,4,1,5,3,6]=>[2,4,7,8,3,1,6,5]=>{{1,2,3,4,5,6,7,8}}=>0
[6,1,3,8,7,5,4,2]=>[3,1,8,6,7,2,4,5]=>{{1,2,3,4,5,6,7,8}}=>0
[3,6,1,8,7,5,4,2]=>[8,3,2,6,7,1,4,5]=>{{1,4,5,6,7,8},{2,3}}=>5
[3,4,8,2,7,6,5,1]=>[6,4,3,1,7,8,2,5]=>{{1,2,4,5,6,7,8},{3}}=>5
[8,1,3,5,7,6,4,2]=>[3,1,5,7,6,8,2,4]=>{{1,2,3,4,5,6,7,8}}=>0
[8,3,1,7,2,6,5,4]=>[3,6,2,7,4,8,1,5]=>{{1,2,3,4,5,6,7,8}}=>0
[3,8,2,4,7,6,5,1]=>[4,3,1,6,7,8,2,5]=>{{1,2,3,4,5,6,7,8}}=>0
[8,2,3,7,1,6,5,4]=>[2,3,6,7,4,8,1,5]=>{{1,2,3,4,5,6,7,8}}=>0
[8,2,7,1,3,6,5,4]=>[2,6,7,3,4,8,1,5]=>{{1,2,3,4,5,6,7,8}}=>0
[8,1,7,2,6,4,3,5]=>[6,1,7,3,8,4,5,2]=>{{1,2,3,4,5,6,7,8}}=>0
[8,1,7,5,2,4,3,6]=>[5,1,7,8,4,2,6,3]=>{{1,2,3,4,5,6,7,8}}=>0
[8,2,3,7,4,6,1,5]=>[2,3,6,7,1,8,5,4]=>{{1,2,3,4,5,6,7,8}}=>0
[8,2,1,5,7,6,4,3]=>[2,5,1,7,6,8,3,4]=>{{1,2,3,4,5,6,7,8}}=>0
[6,1,8,2,7,5,4,3]=>[8,1,6,3,7,2,4,5]=>{{1,2,3,4,5,6,7,8}}=>0
[8,1,7,3,5,2,6,4]=>[5,1,7,2,8,4,3,6]=>{{1,2,4,5,6,8},{3,7}}=>1
[8,1,5,2,7,6,4,3]=>[5,1,7,3,6,8,2,4]=>{{1,2,3,4,5,6,7,8}}=>0
[8,2,4,1,7,6,5,3]=>[2,4,6,3,7,8,1,5]=>{{1,2,3,4,5,6,7,8}}=>0
[4,2,8,3,7,6,5,1]=>[2,6,4,1,7,8,3,5]=>{{1,2,3,4,5,6,7,8}}=>0
[4,8,2,1,7,6,5,3]=>[6,4,1,3,7,8,2,5]=>{{1,2,3,4,5,6,7,8}}=>0
[5,8,6,3,2,1,7,4]=>[7,5,6,1,3,4,8,2]=>{{1,2,3,4,5,6,7,8}}=>0
[7,1,2,3,8,6,4,5]=>[7,1,2,3,6,8,5,4]=>{{1,2,3,4,5,6,7,8}}=>0
[7,2,5,4,1,8,6,3]=>[2,4,5,8,3,7,1,6]=>{{1,2,4,6,7,8},{3,5}}=>3
[7,3,5,4,2,1,8,6]=>[3,5,4,8,1,2,7,6]=>{{1,2,3,4,5,6,8},{7}}=>1
[6,7,3,2,1,8,5,4]=>[7,3,8,1,4,6,2,5]=>{{1,2,3,4,5,7,8},{6}}=>2
[6,5,8,1,7,3,4,2]=>[7,8,5,3,6,2,1,4]=>{{1,7},{2,3,4,5,6,8}}=>0
[4,1,2,8,5,3,6,7]=>[5,1,2,4,8,3,6,7]=>{{1,2,3,5,6,7,8},{4}}=>4
[3,5,8,2,6,1,7,4]=>[7,5,3,1,6,4,8,2]=>{{1,2,4,5,6,7,8},{3}}=>5
[1,7,6,2,5,8,4,3]=>[1,5,7,3,8,6,2,4]=>{{1},{2,3,4,5,7,8},{6}}=>2
[2,7,6,1,8,4,3,5]=>[7,2,8,3,6,4,5,1]=>{{1,3,4,5,6,7,8},{2}}=>6
[6,7,8,4,2,5,3,1]=>[7,6,4,8,2,1,3,5]=>{{1,2,3,4,5,6,7,8}}=>0
[4,7,3,1,2,6,8,5]=>[4,3,6,2,1,8,7,5]=>{{1,2,3,4,5,6,8},{7}}=>1
[1,6,2,3,5,8,7,4]=>[1,5,2,3,7,6,8,4]=>{{1},{2,3,4,5,7,8},{6}}=>2
[7,4,6,2,8,3,5,1]=>[4,8,7,2,6,3,1,5]=>{{1,2,3,4,5,6,7,8}}=>0
[4,1,8,5,6,3,7,2]=>[7,1,4,5,6,2,8,3]=>{{1,2,3,4,5,6,7,8}}=>0
[6,7,2,3,1,5,8,4]=>[8,6,1,2,4,3,7,5]=>{{1,2,3,4,5,6,8},{7}}=>1
[8,6,3,1,4,2,5,7]=>[3,6,8,2,1,5,4,7]=>{{1,2,3,4,5,6,7,8}}=>0
[6,2,7,8,3,4,5,1]=>[2,8,7,6,3,4,1,5]=>{{1,2,3,5,7,8},{4,6}}=>2
[8,2,3,4,5,6,7,1,9]=>[2,3,4,5,6,7,8,1,9]=>{{1,2,3,4,5,6,7,8},{9}}=>0
[7,3,8,4,6,5,1,2]=>[4,6,3,7,8,1,5,2]=>{{1,2,4,5,6,7,8},{3}}=>5
[7,4,3,6,5,8,1,2]=>[3,4,7,5,8,6,2,1]=>{{1,2,3,4,5,7,8},{6}}=>2
[3,8,5,4,1,7,6,2]=>[5,3,4,7,2,8,1,6]=>{{1,2,3,4,5,7},{6,8}}=>0
[6,4,7,2,5,8,3,1]=>[5,7,4,2,8,6,1,3]=>{{1,2,3,4,5,7,8},{6}}=>2
[1,4,5,3,8,2,6,7]=>[1,8,4,2,5,3,6,7]=>{{1},{2,3,4,6,7,8},{5}}=>3
[5,1,8,2,4,3,6,7]=>[8,1,5,3,2,4,6,7]=>{{1,2,3,4,5,6,7,8}}=>0
[1,5,4,8,2,3,6,7]=>[1,5,8,4,3,2,6,7]=>{{1},{2,3,5,6,7,8},{4}}=>4
[4,8,3,1,6,7,2,5]=>[4,3,6,2,8,7,5,1]=>{{1,2,3,4,5,6,7,8}}=>0
[7,3,4,6,8,1,2,5]=>[3,8,4,7,6,5,2,1]=>{{1,2,3,4,7,8},{5,6}}=>2
[5,6,8,1,3,4,7,2]=>[7,6,5,3,2,1,8,4]=>{{1,2,3,4,5,6,7,8}}=>0
[7,1,2,5,8,4,6,3]=>[7,1,2,8,5,3,4,6]=>{{1,2,3,4,6,7,8},{5}}=>3
[6,2,4,8,1,7,3,5]=>[2,6,8,4,3,7,5,1]=>{{1,2,3,5,6,7,8},{4}}=>4
[3,1,7,8,5,4,6,2]=>[7,1,3,5,8,2,4,6]=>{{1,2,4,5,6,7,8},{3}}=>5
[2,7,1,8,4,3,5,6]=>[8,2,1,7,3,5,6,4]=>{{1,3,4,5,6,7,8},{2}}=>6
[6,7,1,8,3,2,4,5]=>[8,7,2,6,3,5,4,1]=>{{1,8},{2,3,4,5,6,7}}=>1
[3,8,6,7,5,1,2,4]=>[7,3,5,6,8,4,2,1]=>{{1,2,3,5,7,8},{4,6}}=>2
[7,2,5,4,8,1,6,3]=>[2,4,7,8,5,3,1,6]=>{{1,2,3,4,6,7,8},{5}}=>3
[1,7,2,5,3,8,6,4]=>[1,5,2,8,4,7,3,6]=>{{1},{2,3,4,5,6,7,8}}=>0
[2,4,8,3,7,1,5,6]=>[7,2,4,1,8,5,6,3]=>{{1,3,4,5,6,7,8},{2}}=>6
[5,7,1,3,2,4,8,6]=>[8,5,2,1,4,3,7,6]=>{{1,2,3,4,5,6,8},{7}}=>1
[6,5,1,3,8,7,4,2]=>[6,8,2,1,5,7,3,4]=>{{1,2,3,4,6,7,8},{5}}=>3
[4,7,8,3,2,5,1,6]=>[8,7,4,1,2,3,6,5]=>{{1,2,3,4,5,6,7,8}}=>0
[6,1,8,5,3,7,2,4]=>[6,1,5,8,3,7,4,2]=>{{1,2,4,6,7,8},{3,5}}=>3
[5,1,6,8,3,7,4,2]=>[8,1,6,5,3,7,2,4]=>{{1,2,3,4,5,6,7,8}}=>0
[8,6,2,7,4,1,3,5]=>[6,8,1,7,2,5,4,3]=>{{1,2,3,5,6,8},{4,7}}=>1
[6,8,4,7,3,1,5,2]=>[7,4,8,6,1,5,2,3]=>{{1,2,4,5,6,7},{3,8}}=>0
[3,8,7,6,5,1,2,4]=>[6,3,5,7,8,4,2,1]=>{{1,2,3,4,5,6,7,8}}=>0
[5,7,2,6,1,3,8,4]=>[8,5,1,6,4,3,7,2]=>{{1,2,3,4,5,6,8},{7}}=>1
[3,8,7,5,6,1,4,2]=>[6,3,5,8,7,4,1,2]=>{{1,2,3,4,5,6,7,8}}=>0
[1,7,3,4,5,2,8,6]=>[1,3,4,5,8,2,7,6]=>{{1},{2,3,4,5,6,8},{7}}=>1
[4,8,2,1,3,5,6,7]=>[8,4,1,3,2,5,6,7]=>{{1,2,3,4,5,6,7,8}}=>0
[1,7,2,4,6,8,3,5]=>[1,4,2,7,8,6,5,3]=>{{1},{2,3,4,5,7,8},{6}}=>2
[8,6,4,2,7,3,5,1]=>[4,6,8,2,7,3,1,5]=>{{1,2,3,4,5,6,7,8}}=>0
[7,2,4,8,6,1,5,3]=>[2,6,7,4,8,5,1,3]=>{{1,2,3,5,6,7,8},{4}}=>4
[8,2,1,3,4,5,6,7,9]=>[2,8,1,3,4,5,6,7,9]=>{{1,2,3,4,5,6,7,8},{9}}=>0
[5,8,4,3,1,6,7,2]=>[5,4,6,1,3,7,8,2]=>{{1,2,3,4,5,6,7,8}}=>0
[5,7,2,6,3,4,8,1]=>[8,5,1,6,3,2,7,4]=>{{1,2,3,4,5,6,8},{7}}=>1
[5,4,3,7,2,8,6,1]=>[3,5,8,4,1,7,2,6]=>{{1,2,3,5,6,7,8},{4}}=>4
[3,6,5,7,2,8,4,1]=>[8,3,7,5,2,6,1,4]=>{{1,2,3,4,5,7,8},{6}}=>2
[4,6,5,3,8,2,1,7]=>[8,4,6,1,5,2,3,7]=>{{1,2,3,4,6,7,8},{5}}=>3
[2,6,5,8,7,3,1,4]=>[7,2,8,5,6,3,4,1]=>{{1,3,4,5,6,7,8},{2}}=>6
[3,2,8,7,6,4,1,5]=>[2,6,3,7,8,4,5,1]=>{{1,2,4,5,6,7,8},{3}}=>5
[5,4,2,8,6,3,7,1]=>[5,7,1,4,6,2,8,3]=>{{1,2,3,5,6,7,8},{4}}=>4
[6,5,8,7,3,2,4,1]=>[7,8,5,6,2,3,1,4]=>{{1,7},{2,3,4,5,6,8}}=>0
[8,5,6,7,3,1,4,2]=>[5,8,7,6,2,4,1,3]=>{{1,2,3,5,7,8},{4,6}}=>2
[8,5,3,1,4,6,7,2]=>[3,5,6,2,1,7,8,4]=>{{1,2,3,4,5,6,7,8}}=>0
[8,5,1,6,4,3,7,2]=>[5,7,2,6,1,3,8,4]=>{{1,5},{2,3,4,6,7,8}}=>0
[3,8,5,6,7,1,2,4]=>[8,3,5,7,6,4,2,1]=>{{1,8},{2,3,4,5,6,7}}=>1
[8,4,5,2,3,7,1,6]=>[4,7,5,2,1,8,6,3]=>{{1,2,3,4,5,6,7,8}}=>0
[6,4,7,5,2,8,3,1]=>[5,8,4,7,2,6,1,3]=>{{1,2,3,4,5,7,8},{6}}=>2
[7,2,6,3,1,5,8,4]=>[2,6,8,1,4,3,7,5]=>{{1,2,3,4,5,6,8},{7}}=>1
[6,1,4,5,7,2,3,8]=>[4,1,7,6,5,3,2,8]=>{{1,2,3,4,6,7},{5},{8}}=>2
[1,5,8,4,6,2,3,7]=>[1,5,4,8,6,3,2,7]=>{{1},{2,3,4,5,6,7,8}}=>0
[5,7,4,8,1,2,3,6]=>[7,5,8,4,3,2,6,1]=>{{1,2,3,5,6,7,8},{4}}=>4
[4,7,8,1,2,6,3,5]=>[7,6,4,3,2,8,5,1]=>{{1,2,5,6,7,8},{3,4}}=>4
[8,7,1,5,6,2,3,4]=>[5,6,2,8,7,4,3,1]=>{{1,2,3,4,5,6,7,8}}=>0
[6,1,7,2,5,8,3,4]=>[7,1,5,3,8,6,4,2]=>{{1,2,3,4,5,7,8},{6}}=>2
[1,6,8,5,7,2,3,4]=>[1,7,5,8,6,4,3,2]=>{{1},{2,3,4,5,6,7,8}}=>0
[7,5,1,2,6,8,3,4]=>[5,8,2,3,7,6,4,1]=>{{1,2,3,4,5,7,8},{6}}=>2
[1,7,3,2,4,6,8,5]=>[1,3,6,2,4,8,7,5]=>{{1},{2,3,4,5,6,8},{7}}=>1
[7,1,6,8,5,2,3,4]=>[6,1,7,5,8,4,3,2]=>{{1,2,4,5,6,8},{3,7}}=>1
[7,8,6,1,5,2,3,4]=>[6,5,7,3,8,4,2,1]=>{{1,2,3,4,5,6,7,8}}=>0
[1,9,3,4,5,6,7,8,2]=>[1,3,4,5,6,7,8,9,2]=>{{1},{2,3,4,5,6,7,8,9}}=>0
[9,2,3,4,5,6,7,8,1,10]=>[2,3,4,5,6,7,8,9,1,10]=>{{1,2,3,4,5,6,7,8,9},{10}}=>0
[1,10,3,4,5,6,7,8,9,2]=>[1,3,4,5,6,7,8,9,10,2]=>{{1},{2,3,4,5,6,7,8,9,10}}=>0
[1,10,9,4,5,6,7,8,3,2]=>[1,4,5,6,7,8,9,10,2,3]=>{{1},{2,3,4,5,6,7,8,9,10}}=>0
[7,8,1,3,4,5,2,6]=>[8,7,2,1,3,4,6,5]=>{{1,2,3,4,5,6,7,8}}=>0
[7,3,2,8,1,5,4,6]=>[3,8,1,7,4,2,6,5]=>{{1,3},{2,4,5,6,7,8}}=>0
[6,1,8,3,5,4,2,7]=>[6,1,5,2,8,3,4,7]=>{{1,2,3,4,5,6,7,8}}=>0
[3,8,4,5,2,6,7,1]=>[6,3,4,5,1,7,8,2]=>{{1,2,3,4,5,6,7,8}}=>0
[5,3,2,8,6,4,7,1]=>[3,7,1,5,6,2,8,4]=>{{1,3},{2,4,5,6,7,8}}=>0
[7,3,5,4,2,8,6,1]=>[3,5,4,8,1,7,2,6]=>{{1,2,3,4,5,6,7,8}}=>0
[3,4,2,7,5,8,6,1]=>[5,3,1,4,8,7,2,6]=>{{1,2,3,5,6,7,8},{4}}=>4
[4,5,7,2,3,1,8,6]=>[8,5,4,2,1,3,7,6]=>{{1,2,3,4,5,6,8},{7}}=>1
[3,7,8,1,4,6,5,2]=>[7,6,3,2,1,8,4,5]=>{{1,2,4,5,6,7,8},{3}}=>5
[8,7,4,3,1,5,6,2]=>[4,7,8,1,3,2,5,6]=>{{1,4},{2,3,5,6,7,8}}=>0
[8,7,1,4,3,5,6,2]=>[4,7,2,8,1,3,5,6]=>{{1,2,3,4,5,6,7,8}}=>0
[6,1,8,4,7,3,2,5]=>[6,1,4,8,7,3,5,2]=>{{1,2,3,4,6,8},{5,7}}=>1
[5,2,1,7,4,3,8,6]=>[2,8,1,5,3,4,7,6]=>{{1,2,3,4,5,6,8},{7}}=>1
[2,3,6,1,8,7,5,4]=>[8,2,3,1,6,7,4,5]=>{{1,4,5,6,7,8},{2},{3}}=>10
[2,6,8,7,5,3,1,4]=>[7,2,5,6,8,3,4,1]=>{{1,3,4,5,6,7,8},{2}}=>6
[6,1,3,7,5,8,2,4]=>[3,1,7,5,8,6,4,2]=>{{1,2,3,4,5,7,8},{6}}=>2
[4,7,3,1,8,5,6,2]=>[4,3,8,2,7,1,5,6]=>{{1,2,3,4,6,8},{5,7}}=>1
[1,3,8,5,2,7,4,6]=>[1,5,3,7,4,8,6,2]=>{{1},{2,4,5,6,7,8},{3}}=>5
[4,2,7,8,6,1,3,5]=>[2,7,6,4,8,5,3,1]=>{{1,2,3,5,6,7,8},{4}}=>4
[7,4,6,8,5,2,3,1]=>[5,7,6,4,8,2,1,3]=>{{1,2,3,5,6,7,8},{4}}=>4
[4,5,3,8,1,7,2,6]=>[5,3,7,4,2,8,6,1]=>{{1,2,3,5,6,7,8},{4}}=>4
[3,5,8,4,1,7,2,6]=>[5,4,3,7,2,8,6,1]=>{{1,2,4,5,6,7,8},{3}}=>5
[6,5,4,8,1,3,7,2]=>[5,6,7,4,3,1,8,2]=>{{1,2,3,5,6,7,8},{4}}=>4
[8,2,7,3,1,5,4,6]=>[2,7,8,1,4,3,6,5]=>{{1,2,3,4,5,6,7,8}}=>0
[1,3,8,2,5,6,7,4]=>[1,5,3,2,6,7,8,4]=>{{1},{2,4,5,6,7,8},{3}}=>5
[7,6,8,3,5,4,2,1]=>[6,7,5,1,8,2,3,4]=>{{1,2,3,4,5,6,7,8}}=>0
[1,6,7,3,8,5,4,2]=>[1,8,7,2,6,3,4,5]=>{{1},{2,3,4,5,6,7,8}}=>0
[7,3,4,8,1,6,5,2]=>[3,7,6,4,2,8,1,5]=>{{1,2,3,5,6,7,8},{4}}=>4
[7,5,3,2,8,6,4,1]=>[3,6,7,1,5,8,2,4]=>{{1,2,3,4,6,7,8},{5}}=>3
[8,2,6,5,7,3,4,1]=>[2,5,7,8,6,3,1,4]=>{{1,2,3,5,6,7},{4,8}}=>0
[8,4,6,1,7,2,5,3]=>[4,8,6,3,7,5,1,2]=>{{1,3,4,5,6,7},{2,8}}=>0
[3,7,5,4,1,2,6,8]=>[5,3,4,7,2,1,6,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[4,2,1,8,6,3,7,5]=>[2,6,1,4,7,5,8,3]=>{{1,2,3,5,6,7,8},{4}}=>4
[3,7,2,4,1,6,5,8]=>[4,3,1,6,2,7,5,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[7,1,2,6,5,4,3,8]=>[5,1,2,6,7,3,4,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[5,2,6,8,7,4,1,3]=>[2,8,7,5,6,1,4,3]=>{{1,2,3,4,5,6,7,8}}=>0
[4,3,8,5,7,2,6,1]=>[4,8,3,5,7,1,2,6]=>{{1,2,4,5,6,7,8},{3}}=>5
[4,7,3,2,8,5,1,6]=>[4,3,8,1,7,2,6,5]=>{{1,4},{2,3,5,6,7,8}}=>0
[3,5,2,8,1,6,7,4]=>[6,3,1,5,4,7,8,2]=>{{1,2,3,6,7,8},{4,5}}=>3
[3,1,7,8,2,5,4,6]=>[8,1,3,7,4,2,6,5]=>{{1,2,4,5,6,7,8},{3}}=>5
[6,2,3,7,4,1,8,5]=>[2,3,8,6,1,5,7,4]=>{{1,2,3,4,5,6,8},{7}}=>1
[3,7,2,8,6,5,1,4]=>[7,3,1,6,8,2,5,4]=>{{1,2,3,4,5,6,7,8}}=>0
[7,4,5,1,8,2,3,6]=>[4,8,7,3,5,2,6,1]=>{{1,2,3,4,6,7,8},{5}}=>3
[8,5,2,4,3,1,7,6]=>[4,5,1,7,2,3,8,6]=>{{1,3,4,6,7,8},{2,5}}=>3
[1,6,2,5,3,8,7,4]=>[1,5,2,7,4,6,8,3]=>{{1},{2,3,4,5,7,8},{6}}=>2
[1,8,3,6,4,7,5,2]=>[1,3,6,8,2,7,4,5]=>{{1},{2,3,4,5,6,7,8}}=>0
[1,7,2,6,4,8,5,3]=>[1,7,2,8,3,6,4,5]=>{{1},{2,3,4,5,7,8},{6}}=>2
[1,5,2,7,4,8,6,3]=>[1,8,2,5,3,7,4,6]=>{{1},{2,3,4,5,6,7,8}}=>0
[4,8,1,3,2,6,5,7]=>[6,4,2,1,3,8,5,7]=>{{1,2,3,4,5,6,7,8}}=>0
[6,8,7,3,5,2,4,1]=>[7,5,6,1,8,3,2,4]=>{{1,2,4,5,7,8},{3,6}}=>2
[2,3,8,7,5,6,1,4]=>[5,2,3,6,7,8,4,1]=>{{1,4,5,6,7,8},{2},{3}}=>10
[3,5,8,6,4,2,7,1]=>[7,5,3,6,1,2,8,4]=>{{1,2,4,5,6,7,8},{3}}=>5
[5,8,4,6,1,2,7,3]=>[6,4,7,5,3,2,8,1]=>{{1,2,3,4,5,6,7,8}}=>0
[2,4,8,6,5,1,7,3]=>[6,2,4,5,7,3,8,1]=>{{1,3,4,5,6,7,8},{2}}=>6
[4,8,7,5,1,6,2,3]=>[7,4,5,6,3,8,2,1]=>{{1,2,4,6,7,8},{3,5}}=>3
[8,7,2,6,5,1,3,4]=>[5,6,1,7,8,4,3,2]=>{{1,2,3,4,5,6,7,8}}=>0
[2,7,8,6,4,1,3,5]=>[7,2,6,8,1,5,4,3]=>{{1,3,4,5,6,7,8},{2}}=>6
[3,5,2,4,8,1,7,6]=>[4,3,1,7,5,2,8,6]=>{{1,2,3,4,6,7,8},{5}}=>3
[3,8,1,7,6,2,5,4]=>[6,3,2,7,8,5,1,4]=>{{1,4,5,6,7,8},{2,3}}=>5
[8,7,1,3,6,5,2,4]=>[6,7,2,1,8,3,5,4]=>{{1,2,3,4,5,6,7,8}}=>0
[1,4,8,7,3,6,5,2]=>[1,7,4,6,2,8,3,5]=>{{1},{2,3,4,5,6,7,8}}=>0
[3,7,2,8,1,5,4,6]=>[8,3,1,7,4,2,6,5]=>{{1,2,3,4,5,6,7,8}}=>0
[1,7,8,3,2,6,5,4]=>[1,7,6,2,4,8,3,5]=>{{1},{2,3,4,5,6,7,8}}=>0
[1,7,4,5,6,8,2,3]=>[1,4,8,5,7,6,3,2]=>{{1},{2,3,4,5,7,8},{6}}=>2
[1,8,7,2,3,4,5,6]=>[1,7,8,3,4,5,6,2]=>{{1},{2,3,4,5,6,7,8}}=>0
[2,5,8,4,6,1,7,3]=>[5,2,4,7,6,3,8,1]=>{{1,3,4,5,6,7,8},{2}}=>6
[4,8,6,5,1,3,7,2]=>[7,4,5,6,3,1,8,2]=>{{1,2,4,6,7,8},{3,5}}=>3
[2,8,3,5,6,7,1,4]=>[3,2,5,8,6,7,4,1]=>{{1,3,4,5,6,7,8},{2}}=>6
[4,7,3,8,6,2,1,5]=>[6,3,7,4,8,2,5,1]=>{{1,2,3,5,6,7,8},{4}}=>4
[5,7,3,2,6,4,1,8]=>[5,3,7,1,6,2,4,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[7,3,2,4,1,8,6,5]=>[3,4,1,8,2,7,5,6]=>{{1,3},{2,4,5,6,7,8}}=>0
[8,4,3,2,7,5,1,6]=>[3,4,7,1,8,2,6,5]=>{{1,2,3,4,6,7},{5,8}}=>0
[8,4,5,3,7,2,1,6]=>[4,8,5,1,7,2,6,3]=>{{1,4},{2,3,5,6,7,8}}=>0
[1,2,8,6,4,5,7,3]=>[1,2,6,7,3,4,8,5]=>{{1},{2},{3,4,5,6,7,8}}=>0
[1,8,5,3,4,6,7,2]=>[1,5,6,2,3,7,8,4]=>{{1},{2,3,4,5,6,7,8}}=>0
[7,8,4,1,6,3,5,2]=>[6,4,7,3,8,2,1,5]=>{{1,2,3,4,6,7},{5,8}}=>0
[8,5,7,6,3,2,4,1]=>[5,8,6,7,2,3,1,4]=>{{1,2,4,5,7,8},{3,6}}=>2
[3,6,5,8,2,7,4,1]=>[8,3,6,5,2,7,1,4]=>{{1,2,3,4,5,6,7,8}}=>0
[7,5,8,4,1,3,6,2]=>[5,7,4,8,3,1,2,6]=>{{1,3,4,5,6,8},{2,7}}=>1
[5,1,3,8,7,2,6,4]=>[3,1,8,5,7,4,2,6]=>{{1,2,3,4,5,6,7,8}}=>0
[8,7,1,6,2,5,3,4]=>[6,7,2,8,4,1,5,3]=>{{1,6},{2,3,4,5,7,8}}=>0
[3,8,5,1,4,7,2,6]=>[7,3,5,2,1,8,6,4]=>{{1,2,3,4,5,6,7,8}}=>0
[1,4,5,8,6,3,2,7]=>[1,8,5,4,6,2,3,7]=>{{1},{2,3,5,6,7,8},{4}}=>4
[8,4,5,7,2,6,1,3]=>[4,7,6,5,2,8,3,1]=>{{1,2,3,4,5,6,7,8}}=>0
[5,2,8,3,6,1,4,7]=>[2,8,5,1,6,4,3,7]=>{{1,2,3,4,5,6,7,8}}=>0
[1,7,6,8,5,2,4,3]=>[1,6,7,5,8,4,2,3]=>{{1},{2,3,4,5,6,7,8}}=>0
[5,7,6,8,1,2,4,3]=>[8,6,7,5,4,3,1,2]=>{{1,2,3,6,7,8},{4,5}}=>3
[7,8,5,3,6,2,1,4]=>[6,5,8,1,7,3,4,2]=>{{1,2,3,4,5,6,7,8}}=>0
[5,4,3,8,2,1,7,6]=>[3,5,7,4,1,2,8,6]=>{{1,2,3,5,6,7,8},{4}}=>4
[6,4,8,3,2,1,7,5]=>[6,7,4,1,2,5,8,3]=>{{1,2,3,4,5,6,7,8}}=>0
[5,4,3,8,2,1,6,7]=>[3,5,8,4,1,2,6,7]=>{{1,2,3,5,6,7,8},{4}}=>4
[5,4,3,8,2,6,7,1]=>[3,5,6,4,1,7,8,2]=>{{1,2,3,5,6,7,8},{4}}=>4
[6,4,2,3,5,1,8,7]=>[4,5,1,2,6,3,8,7]=>{{1,2,3,4,5,6},{7,8}}=>0
[5,2,3,8,6,4,7,1]=>[2,3,7,5,6,1,8,4]=>{{1,2,3,4,5,6,7,8}}=>0
[8,6,3,2,5,4,7,1]=>[3,5,6,1,7,2,8,4]=>{{1,2,3,4,5,6,7,8}}=>0
[7,2,3,4,5,8,1,6]=>[2,3,4,5,8,7,6,1]=>{{1,2,3,4,5,8},{6,7}}=>1
[3,8,6,4,7,2,5,1]=>[6,3,4,8,7,2,1,5]=>{{1,2,3,4,5,6,7,8}}=>0
[2,1,8,6,4,5,7,3]=>[2,1,6,7,3,4,8,5]=>{{1,2},{3,4,5,6,7,8}}=>0
[5,8,2,3,4,7,1,6]=>[7,5,1,2,3,8,6,4]=>{{1,2,3,4,5,6,7,8}}=>0
[6,3,4,7,8,2,1,5]=>[3,8,7,4,6,2,5,1]=>{{1,2,3,5,6,7,8},{4}}=>4
[3,8,5,1,4,7,6,2]=>[7,3,5,2,1,8,4,6]=>{{1,2,3,4,5,7},{6,8}}=>0
[4,8,5,1,3,6,7,2]=>[6,4,5,3,1,7,8,2]=>{{1,2,3,4,5,6,7,8}}=>0
[4,6,8,5,2,7,3,1]=>[8,5,4,6,2,7,1,3]=>{{1,3,4,6,7,8},{2,5}}=>3
[8,5,4,7,1,3,6,2]=>[4,7,8,5,3,1,2,6]=>{{1,3,4,5,6,8},{2,7}}=>1
[7,3,6,2,8,1,5,4]=>[3,8,7,1,6,5,2,4]=>{{1,2,3,4,7,8},{5,6}}=>2
[8,1,5,2,3,7,6,4]=>[5,1,7,3,4,8,2,6]=>{{1,2,3,4,5,7},{6,8}}=>0
[6,4,2,3,7,8,5,1]=>[4,8,1,2,7,6,3,5]=>{{1,2,3,4,5,7,8},{6}}=>2
[3,5,1,8,4,6,2,7]=>[6,3,2,5,1,8,4,7]=>{{1,4,5,6,7,8},{2,3}}=>5
[4,1,8,3,2,6,7,5]=>[6,1,4,2,3,7,8,5]=>{{1,2,3,4,5,6,7,8}}=>0
[4,6,1,3,8,2,5,7]=>[8,4,2,1,6,5,3,7]=>{{1,2,3,4,7,8},{5,6}}=>2
[3,6,4,5,8,2,1,7]=>[8,3,4,6,5,1,2,7]=>{{1,2,3,4,6,7,8},{5}}=>3
[1,8,7,5,3,6,4,2]=>[1,5,6,7,3,8,2,4]=>{{1},{2,3,4,5,6,7,8}}=>0
[8,3,7,4,1,6,2,5]=>[3,6,4,7,2,8,5,1]=>{{1,2,3,4,5,6,7,8}}=>0
[8,5,4,1,6,3,2,7]=>[4,5,8,3,6,1,2,7]=>{{1,2,3,4,5,6,7,8}}=>0
[8,2,1,5,6,7,3,4]=>[2,5,1,8,6,7,4,3]=>{{1,2,3,4,5,6,7,8}}=>0
[7,1,4,8,6,3,2,5]=>[6,1,7,4,8,3,5,2]=>{{1,2,3,5,6,7,8},{4}}=>4
[5,7,4,8,6,2,1,3]=>[6,5,8,4,7,2,3,1]=>{{1,2,3,5,6,7,8},{4}}=>4
[5,3,6,8,2,7,1,4]=>[6,8,3,5,2,7,4,1]=>{{1,2,4,5,6,7,8},{3}}=>5
[7,3,8,4,1,6,2,5]=>[4,6,3,7,2,8,5,1]=>{{1,2,4,5,6,7,8},{3}}=>5
[1,8,2,5,6,7,3,4]=>[1,5,2,8,6,7,4,3]=>{{1},{2,3,4,5,6,7,8}}=>0
[7,8,4,1,6,5,2,3]=>[6,4,7,3,8,1,5,2]=>{{1,6},{2,3,4,5,7,8}}=>0
[8,3,1,2,5,7,4,6]=>[3,5,2,1,7,8,6,4]=>{{1,2,3,4,5,6,7,8}}=>0
[5,1,3,7,4,8,2,6]=>[3,1,8,5,2,7,6,4]=>{{1,2,3,4,5,8},{6,7}}=>1
[5,1,7,8,3,4,2,6]=>[8,1,7,5,3,2,6,4]=>{{1,2,3,4,5,6,7,8}}=>0
[5,6,8,2,3,4,1,7]=>[8,6,5,2,3,1,4,7]=>{{1,2,4,6,7,8},{3,5}}=>3
[5,8,2,1,6,3,4,7]=>[8,5,1,3,6,4,2,7]=>{{1,2,3,4,5,6,7,8}}=>0
[4,8,1,3,7,5,2,6]=>[7,4,2,1,8,3,6,5]=>{{1,2,3,4,6,7},{5,8}}=>0
[4,8,7,5,1,3,2,6]=>[8,4,5,7,3,1,6,2]=>{{1,2,4,6,7,8},{3,5}}=>3
[1,3,6,8,2,7,5,4]=>[1,8,3,6,4,7,2,5]=>{{1},{2,4,5,6,7,8},{3}}=>5
[1,6,5,4,3,8,2,7]=>[1,4,5,8,2,6,3,7]=>{{1},{2,3,4,5,7,8},{6}}=>2
[1,8,3,4,5,6,2,7]=>[1,3,4,5,6,8,2,7]=>{{1},{2,3,4,5,6,7,8}}=>0
[7,2,8,5,6,3,4,1]=>[2,6,5,8,7,3,1,4]=>{{1,2,3,5,6,7},{4,8}}=>0
[1,4,7,3,2,6,8,5]=>[1,6,4,2,3,8,7,5]=>{{1},{2,3,4,5,6,8},{7}}=>1
[5,3,8,2,7,6,1,4]=>[5,7,3,1,6,8,4,2]=>{{1,2,4,5,6,7,8},{3}}=>5
[4,8,5,1,3,7,2,6]=>[7,4,5,3,1,8,6,2]=>{{1,2,3,4,5,6,7,8}}=>0
[7,6,4,8,1,2,5,3]=>[6,7,8,4,3,5,1,2]=>{{1,2,3,5,6,7,8},{4}}=>4
[2,4,5,8,7,3,1,6]=>[8,2,5,4,7,1,6,3]=>{{1,3,5,6,7,8},{2},{4}}=>9
[2,1,5,8,6,7,4,3]=>[2,1,8,5,6,7,3,4]=>{{1,2},{3,4,5,6,7,8}}=>0
[3,8,5,6,4,7,2,1]=>[8,3,5,6,1,7,2,4]=>{{1,2,3,4,5,6,7,8}}=>0
[3,8,4,5,6,7,2,1]=>[8,3,4,5,6,7,1,2]=>{{1,2,3,4,5,6,7,8}}=>0
[3,8,6,5,1,7,2,4]=>[6,3,5,8,4,7,2,1]=>{{1,2,3,4,5,6,7,8}}=>0
[6,1,3,5,8,2,4,7]=>[3,1,6,8,5,4,2,7]=>{{1,2,3,4,6,7,8},{5}}=>3
[6,7,3,2,8,4,5,1]=>[7,3,8,1,6,4,2,5]=>{{1,2,3,4,5,6,7,8}}=>0
[8,3,7,6,1,2,5,4]=>[3,7,6,8,4,5,1,2]=>{{1,2,3,4,5,6,7,8}}=>0
[8,7,3,4,6,2,5,1]=>[3,4,6,7,8,2,1,5]=>{{1,2,3,4,6,7},{5,8}}=>0
[8,2,5,7,1,4,6,3]=>[2,5,8,7,4,1,3,6]=>{{1,2,3,4,5,6,7,8}}=>0
[8,2,4,7,1,5,6,3]=>[2,4,8,7,3,1,5,6]=>{{1,2,3,4,5,6,7,8}}=>0
[8,2,3,4,7,1,5,6]=>[2,3,4,7,8,5,6,1]=>{{1,2,3,4,5,6,7,8}}=>0
[8,7,3,5,6,2,4,1]=>[3,5,6,8,7,2,1,4]=>{{1,2,3,5,6,7},{4,8}}=>0
[8,7,4,6,5,2,3,1]=>[4,5,7,6,8,2,1,3]=>{{1,2,3,4,5,6,7,8}}=>0
[8,7,3,4,6,2,1,5]=>[3,4,6,7,8,2,5,1]=>{{1,2,3,4,5,6,7,8}}=>0
[8,4,2,7,5,1,6,3]=>[4,7,1,5,8,3,2,6]=>{{1,3,4,5,6,8},{2,7}}=>1
[8,4,7,6,5,1,2,3]=>[4,7,5,6,8,3,2,1]=>{{1,3,4,5,6,8},{2,7}}=>1
[8,5,3,7,6,4,1,2]=>[3,5,8,6,7,1,4,2]=>{{1,2,3,4,5,6,7,8}}=>0
[8,6,2,4,7,3,1,5]=>[4,6,1,8,7,3,5,2]=>{{1,2,3,4,6,8},{5,7}}=>1
[8,5,3,2,7,6,4,1]=>[3,5,7,1,6,8,2,4]=>{{1,2,3,4,5,6,7,8}}=>0
[2,4,3,8,5,1,6,7]=>[3,2,5,4,8,1,6,7]=>{{1,3,5,6,7,8},{2},{4}}=>9
[7,8,3,2,5,4,6,1]=>[5,3,7,1,8,2,4,6]=>{{1,2,3,4,5,6,7,8}}=>0
[7,2,1,6,4,8,5,3]=>[2,7,1,8,3,6,4,5]=>{{1,2,3,4,5,7,8},{6}}=>2
[8,4,1,7,6,3,2,5]=>[4,7,2,6,8,3,5,1]=>{{1,2,3,4,5,6,7,8}}=>0
[6,4,1,8,5,3,2,7]=>[5,6,2,4,8,1,3,7]=>{{1,2,3,5,6,7,8},{4}}=>4
[8,4,1,7,5,3,2,6]=>[4,7,2,5,8,1,6,3]=>{{1,2,3,4,5,6,7,8}}=>0
[8,5,6,1,4,3,2,7]=>[5,8,6,3,1,2,4,7]=>{{1,5},{2,3,4,6,7,8}}=>0
[5,8,6,1,4,3,2,7]=>[8,5,6,3,1,2,4,7]=>{{1,2,3,4,5,6,7,8}}=>0
[1,8,6,3,4,2,5,7]=>[1,6,8,2,3,5,4,7]=>{{1},{2,3,4,5,6,7,8}}=>0
[8,2,7,6,1,4,3,5]=>[2,6,7,8,4,3,5,1]=>{{1,2,3,4,5,6,7,8}}=>0
[5,2,7,8,1,4,3,6]=>[2,8,7,5,4,1,6,3]=>{{1,2,3,6,7,8},{4,5}}=>3
[5,2,3,4,7,1,6,8]=>[2,3,4,7,5,1,6,8]=>{{1,2,3,4,6,7},{5},{8}}=>2
[1,4,7,8,5,2,3,6]=>[1,7,5,4,8,3,6,2]=>{{1},{2,3,5,6,7,8},{4}}=>4
[8,1,2,7,5,4,3,6]=>[5,1,2,7,8,3,6,4]=>{{1,2,3,4,5,6,7,8}}=>0
[6,5,1,8,3,7,2,4]=>[6,8,2,5,3,7,4,1]=>{{1,2,3,4,5,6,7,8}}=>0
[7,8,1,5,4,2,3,6]=>[7,5,2,8,1,4,6,3]=>{{1,2,3,4,5,6,7,8}}=>0
[5,7,6,1,4,3,8,2]=>[8,5,6,3,1,2,7,4]=>{{1,2,3,4,5,6,8},{7}}=>1
[7,6,3,1,2,8,5,4]=>[3,7,8,2,4,6,1,5]=>{{1,2,3,4,5,7,8},{6}}=>2
[5,2,6,7,4,8,1,3]=>[2,8,7,5,1,6,4,3]=>{{1,2,3,4,5,7,8},{6}}=>2
[1,7,2,8,4,3,5,6]=>[1,8,2,7,3,5,6,4]=>{{1},{2,3,4,5,6,7,8}}=>0
[8,6,1,7,5,2,4,3]=>[5,7,2,6,8,4,1,3]=>{{1,2,3,5,7,8},{4,6}}=>2
[8,1,4,6,5,2,7,3]=>[4,1,6,5,7,3,8,2]=>{{1,2,4,5,7,8},{3,6}}=>2
[7,1,5,4,6,3,2,8]=>[4,1,5,7,6,2,3,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[6,1,5,4,8,3,2,7]=>[4,1,6,8,5,2,3,7]=>{{1,2,3,4,6,7,8},{5}}=>3
[1,2,8,7,4,3,6,5]=>[1,2,7,8,3,5,4,6]=>{{1},{2},{3,4,5,6,7,8}}=>0
[8,4,6,5,1,2,7,3]=>[4,7,5,6,3,2,8,1]=>{{1,2,4,6,7,8},{3,5}}=>3
[8,6,5,7,2,1,4,3]=>[5,7,8,6,3,4,1,2]=>{{1,2,3,5,7,8},{4,6}}=>2
[8,2,4,6,3,7,5,1]=>[2,4,8,6,1,7,3,5]=>{{1,2,3,4,5,6,7,8}}=>0
[8,2,7,5,1,4,6,3]=>[2,5,7,8,4,1,3,6]=>{{1,2,4,5,6,8},{3,7}}=>1
[8,2,1,4,5,6,7,3]=>[2,4,1,5,6,7,8,3]=>{{1,2,3,4,5,6,7,8}}=>0
[7,2,4,1,5,8,6,3]=>[2,4,5,3,8,7,1,6]=>{{1,2,3,4,5,6,7,8}}=>0
[5,2,3,7,8,1,6,4]=>[2,3,8,7,5,4,1,6]=>{{1,2,3,4,6,7,8},{5}}=>3
[6,2,3,5,1,8,7,4]=>[2,3,5,7,4,6,8,1]=>{{1,2,3,4,5,7,8},{6}}=>2
[1,8,3,2,4,6,7,5]=>[1,3,6,2,4,7,8,5]=>{{1},{2,3,4,5,6,7,8}}=>0
[7,2,1,3,6,8,4,5]=>[2,7,1,3,8,6,5,4]=>{{1,2,3,4,5,7,8},{6}}=>2
[8,7,2,6,5,4,3,1]=>[5,6,1,7,8,2,3,4]=>{{1,3,4,5,7,8},{2,6}}=>2
[7,1,3,8,6,5,4,2]=>[3,1,7,6,8,2,4,5]=>{{1,2,3,4,6,7},{5,8}}=>0
[5,7,4,1,6,2,8,3]=>[5,4,8,3,6,2,7,1]=>{{1,2,3,4,5,6,8},{7}}=>1
[6,8,7,3,1,4,2,5]=>[8,6,7,1,4,3,5,2]=>{{1,2,3,4,5,6,7,8}}=>0
[1,6,3,4,7,8,5,2]=>[1,3,4,8,7,6,2,5]=>{{1},{2,3,4,5,7,8},{6}}=>2
[1,8,2,6,7,3,4,5]=>[1,6,2,8,7,5,4,3]=>{{1},{2,3,4,5,6,7,8}}=>0
[8,1,2,7,6,3,5,4]=>[6,1,2,7,8,5,3,4]=>{{1,2,3,4,5,6,7,8}}=>0
[7,4,3,1,8,6,2,5]=>[3,4,7,2,6,8,5,1]=>{{1,3,5,6,7,8},{2,4}}=>4
[6,1,2,7,4,3,8,5]=>[8,1,2,6,3,5,7,4]=>{{1,2,3,4,5,6,8},{7}}=>1
[6,1,2,7,3,5,8,4]=>[8,1,2,6,4,3,7,5]=>{{1,2,3,4,5,6,8},{7}}=>1
[8,3,6,2,1,7,4,5]=>[3,8,6,1,4,7,5,2]=>{{1,3,4,5,6,7},{2,8}}=>0
[6,1,2,8,3,5,7,4]=>[7,1,2,6,4,3,8,5]=>{{1,2,3,4,5,6,7,8}}=>0
[6,5,3,2,1,8,7,4]=>[3,5,7,1,4,6,8,2]=>{{1,2,3,4,5,7,8},{6}}=>2
[8,4,3,2,7,6,1,5]=>[3,4,6,1,7,8,5,2]=>{{1,2,3,4,6,8},{5,7}}=>1
[1,5,8,4,7,6,3,2]=>[1,5,4,7,6,8,2,3]=>{{1},{2,3,4,5,6,7,8}}=>0
[7,4,3,2,8,6,1,5]=>[3,4,7,1,6,8,5,2]=>{{1,2,3,4,5,6,7,8}}=>0
[7,2,5,4,8,6,1,3]=>[2,4,6,7,5,8,3,1]=>{{1,2,3,4,6,7,8},{5}}=>3
[4,7,5,1,8,2,6,3]=>[8,4,7,3,5,2,1,6]=>{{1,2,3,4,6,7,8},{5}}=>3
[7,2,1,5,8,4,6,3]=>[2,7,1,8,5,3,4,6]=>{{1,2,3,4,6,7,8},{5}}=>3
[4,2,8,1,7,5,6,3]=>[2,7,4,3,8,1,5,6]=>{{1,2,5,6,7,8},{3,4}}=>4
[8,3,6,4,1,7,5,2]=>[3,6,4,8,2,7,1,5]=>{{1,2,3,4,5,6,7,8}}=>0
[7,3,1,5,2,8,6,4]=>[3,5,2,8,4,7,1,6]=>{{1,2,3,4,5,6,7,8}}=>0
[6,8,1,4,3,7,5,2]=>[6,4,2,8,1,7,3,5]=>{{1,2,3,4,5,6,7,8}}=>0
[7,1,6,4,8,3,5,2]=>[4,1,7,8,6,3,2,5]=>{{1,2,3,4,5,6,7,8}}=>0
[7,2,1,4,5,8,6,3]=>[2,4,1,5,8,7,3,6]=>{{1,2,3,4,5,6,7,8}}=>0
[8,6,2,5,4,7,3,1]=>[5,6,1,8,2,7,3,4]=>{{1,2,3,5,6,7},{4,8}}=>0
[8,5,2,1,4,3,6,7]=>[5,8,1,3,2,4,6,7]=>{{1,2,3,4,5,6,7,8}}=>0
[2,8,4,1,3,6,7,5]=>[4,2,6,3,1,7,8,5]=>{{1,3,4,5,6,7,8},{2}}=>6
[8,1,2,4,5,6,7,3]=>[4,1,2,5,6,7,8,3]=>{{1,2,3,4,5,6,7,8}}=>0
[1,8,3,6,7,2,4,5]=>[1,3,6,8,7,5,4,2]=>{{1},{2,3,4,5,6,7,8}}=>0
[8,2,7,6,4,5,3,1]=>[2,6,7,8,1,3,4,5]=>{{1,2,3,4,5,6,7,8}}=>0
[8,7,3,5,4,2,6,1]=>[3,5,7,8,1,2,4,6]=>{{1,2,3,4,5,6,7,8}}=>0
[4,5,8,6,2,7,3,1]=>[8,6,4,5,2,7,1,3]=>{{1,2,3,4,5,6,7,8}}=>0
[4,6,7,2,1,8,5,3]=>[8,7,4,2,3,6,1,5]=>{{1,2,3,4,5,7,8},{6}}=>2
[3,7,8,4,5,1,6,2]=>[5,4,3,7,8,2,1,6]=>{{1,2,4,5,6,7,8},{3}}=>5
[4,6,8,2,3,7,1,5]=>[8,6,4,2,1,7,5,3]=>{{1,2,3,4,5,6,7,8}}=>0
[3,8,1,7,4,5,2,6]=>[7,3,2,8,1,4,6,5]=>{{1,4,5,6,7,8},{2,3}}=>5
[4,5,8,3,7,1,2,6]=>[8,5,4,1,7,3,6,2]=>{{1,2,3,4,5,6,7,8}}=>0
[5,1,3,7,6,4,8,2]=>[3,1,8,5,6,2,7,4]=>{{1,2,3,4,5,6,8},{7}}=>1
[5,7,3,1,2,4,8,6]=>[5,3,8,2,4,1,7,6]=>{{1,2,3,4,5,6,8},{7}}=>1
[6,1,2,4,8,5,3,7]=>[4,1,2,8,6,3,5,7]=>{{1,2,3,4,5,6,7,8}}=>0
[1,3,5,8,6,4,7,2]=>[1,7,3,5,6,2,8,4]=>{{1},{2,4,5,6,7,8},{3}}=>5
[6,1,7,4,8,5,3,2]=>[7,1,4,8,6,2,3,5]=>{{1,2,3,4,5,6,7,8}}=>0
[7,8,6,1,4,5,3,2]=>[7,6,8,3,1,2,4,5]=>{{1,3,4,5,7,8},{2,6}}=>2
[6,2,7,3,8,5,4,1]=>[2,8,7,1,6,3,4,5]=>{{1,2,3,4,5,6,7,8}}=>0
[7,2,8,3,6,4,5,1]=>[2,7,6,1,8,4,3,5]=>{{1,2,3,4,6,7},{5,8}}=>0
[1,7,8,2,5,3,4,6]=>[1,7,5,3,8,4,6,2]=>{{1},{2,3,4,5,6,7,8}}=>0
[7,5,4,8,6,1,2,3]=>[5,6,8,4,7,3,2,1]=>{{1,2,3,5,6,7,8},{4}}=>4
[8,7,5,1,4,3,6,2]=>[5,7,8,3,1,2,4,6]=>{{1,5},{2,3,4,6,7,8}}=>0
[1,5,7,8,3,4,2,6]=>[1,8,7,5,3,2,6,4]=>{{1},{2,3,4,5,6,7,8}}=>0
[6,8,4,3,1,7,2,5]=>[6,4,8,1,3,7,5,2]=>{{1,2,3,4,5,6,7,8}}=>0
[4,8,1,3,7,5,6,2]=>[7,4,2,1,8,3,5,6]=>{{1,2,3,4,5,6,7,8}}=>0
[6,7,5,3,8,1,2,4]=>[7,6,8,1,5,4,3,2]=>{{1,2,3,4,6,7,8},{5}}=>3
[5,7,8,6,3,1,2,4]=>[8,6,5,7,2,4,3,1]=>{{1,8},{2,3,4,5,6,7}}=>1
[1,5,8,6,2,4,3,7]=>[1,8,5,6,4,2,3,7]=>{{1},{2,3,4,5,6,7,8}}=>0
[5,1,8,6,2,4,3,7]=>[8,1,5,6,4,2,3,7]=>{{1,2,3,4,5,6,7,8}}=>0
[6,8,7,2,1,5,3,4]=>[8,6,7,2,4,1,5,3]=>{{1,2,3,4,5,6,7,8}}=>0
[8,7,3,2,1,4,6,5]=>[3,7,8,1,4,5,2,6]=>{{1,3,4,5,6,8},{2,7}}=>1
[5,8,2,6,4,3,7,1]=>[7,5,1,6,2,3,8,4]=>{{1,3,4,6,7,8},{2,5}}=>3
[1,7,2,3,5,8,6,4]=>[1,5,2,3,8,7,4,6]=>{{1},{2,3,4,5,6,7,8}}=>0
[2,8,3,7,5,1,6,4]=>[3,2,5,7,8,4,1,6]=>{{1,3,4,5,6,7,8},{2}}=>6
[6,4,8,7,2,1,5,3]=>[7,8,4,6,2,5,1,3]=>{{1,7},{2,3,4,5,6,8}}=>0
[1,8,2,3,7,5,6,4]=>[1,7,2,3,8,4,5,6]=>{{1},{2,3,4,5,6,7,8}}=>0
[3,8,4,2,5,1,7,6]=>[5,3,4,1,7,2,8,6]=>{{1,2,3,4,5,6,7,8}}=>0
[7,6,8,3,2,5,1,4]=>[7,8,6,1,3,2,5,4]=>{{1,2,3,4,5,6,7,8}}=>0
[1,5,2,7,4,3,6,8]=>[1,7,2,5,3,4,6,8]=>{{1},{2,3,4,5,6,7},{8}}=>0
[5,1,3,8,4,6,2,7]=>[3,1,6,5,2,8,4,7]=>{{1,2,3,4,5,6,7,8}}=>0
[1,7,2,5,6,8,3,4]=>[1,5,2,8,7,6,4,3]=>{{1},{2,3,4,5,7,8},{6}}=>2
[1,6,8,2,4,3,5,7]=>[1,8,6,3,2,5,4,7]=>{{1},{2,3,4,5,6,7,8}}=>0
[1,2,8,3,6,7,4,5]=>[1,2,6,3,8,7,5,4]=>{{1},{2},{3,4,5,6,7,8}}=>0
[1,7,2,5,3,4,8,6]=>[1,5,2,8,4,3,7,6]=>{{1},{2,3,4,5,6,8},{7}}=>1
[8,2,1,4,6,7,3,5]=>[2,4,1,6,8,7,5,3]=>{{1,2,3,4,5,6,7,8}}=>0
[1,7,5,6,2,3,8,4]=>[1,5,8,6,4,3,7,2]=>{{1},{2,3,4,5,6,8},{7}}=>1
[5,8,1,3,6,7,2,4]=>[8,5,2,1,6,7,4,3]=>{{1,2,3,4,5,6,7,8}}=>0
[8,1,7,4,6,2,3,5]=>[4,1,6,7,8,5,3,2]=>{{1,2,3,4,5,6,7,8}}=>0
[1,8,7,4,6,2,3,5]=>[1,4,6,7,8,5,3,2]=>{{1},{2,3,4,5,6,7,8}}=>0
[1,3,8,7,4,2,6,5]=>[1,7,3,8,2,5,4,6]=>{{1},{2,4,5,6,7,8},{3}}=>5
[8,5,4,1,3,6,7,2]=>[4,5,6,3,1,7,8,2]=>{{1,2,3,4,5,6,7,8}}=>0
[8,1,4,5,7,6,3,2]=>[4,1,7,5,6,8,2,3]=>{{1,2,3,4,5,6,7,8}}=>0
[8,2,1,4,7,6,3,5]=>[2,4,1,6,7,8,5,3]=>{{1,2,3,4,6,8},{5,7}}=>1
[8,3,1,7,4,2,6,5]=>[3,7,2,8,1,5,4,6]=>{{1,2,3,4,5,6,7,8}}=>0
[8,2,7,3,1,6,5,4]=>[2,6,7,1,4,8,3,5]=>{{1,2,4,5,6,8},{3,7}}=>1
[8,5,1,2,4,3,7,6]=>[5,7,2,3,1,4,8,6]=>{{1,5},{2,3,4,6,7,8}}=>0
[2,8,3,7,4,1,6,5]=>[3,2,7,8,1,5,4,6]=>{{1,3,4,5,6,7,8},{2}}=>6
[3,4,8,2,6,7,1,5]=>[6,4,3,1,8,7,5,2]=>{{1,2,4,5,6,7,8},{3}}=>5
[3,8,2,5,7,4,6,1]=>[5,3,1,8,7,2,4,6]=>{{1,2,3,4,5,6,7,8}}=>0
[8,2,7,5,6,4,1,3]=>[2,5,6,8,7,1,4,3]=>{{1,2,3,4,5,6,7,8}}=>0
[6,2,8,5,4,1,7,3]=>[2,6,5,7,1,4,8,3]=>{{1,2,3,4,5,6,7,8}}=>0
[3,1,8,2,7,5,6,4]=>[7,1,3,2,8,4,5,6]=>{{1,2,4,5,6,7,8},{3}}=>5
[8,4,7,1,3,6,5,2]=>[4,7,6,3,1,8,2,5]=>{{1,3,4,5,6,8},{2,7}}=>1
[3,8,1,2,5,6,4,7]=>[5,3,2,1,6,8,4,7]=>{{1,4,5,6,7,8},{2,3}}=>5
[8,5,2,1,4,6,7,3]=>[5,6,1,3,2,7,8,4]=>{{1,2,3,4,5,6,7,8}}=>0
[4,2,6,3,8,5,7,1]=>[2,7,4,1,6,3,8,5]=>{{1,2,3,4,5,6,7,8}}=>0
[8,3,5,4,2,7,1,6]=>[3,5,4,7,1,8,6,2]=>{{1,2,3,4,5,6,7,8}}=>0
[8,3,1,5,2,6,7,4]=>[3,5,2,6,4,7,8,1]=>{{1,2,3,4,5,6,7,8}}=>0
[3,8,2,4,1,5,7,6]=>[4,3,1,7,2,5,8,6]=>{{1,2,3,4,5,6,7,8}}=>0
[7,2,3,4,6,8,1,5]=>[2,3,4,7,8,6,5,1]=>{{1,2,3,4,5,7,8},{6}}=>2
[6,8,3,4,7,5,2,1]=>[4,3,6,8,7,1,2,5]=>{{1,2,3,4,5,6,7,8}}=>0
[3,7,4,6,8,2,5,1]=>[8,3,4,7,6,2,1,5]=>{{1,2,3,4,5,6,7,8}}=>0
[7,2,4,5,6,8,1,3]=>[2,4,8,5,7,6,3,1]=>{{1,2,3,4,5,7,8},{6}}=>2
[7,1,3,5,6,2,8,4]=>[3,1,5,8,6,4,7,2]=>{{1,2,3,4,5,6,8},{7}}=>1
[7,1,5,8,4,6,3,2]=>[6,1,7,5,2,8,3,4]=>{{1,2,4,5,6,8},{3,7}}=>1
[6,3,8,4,7,1,5,2]=>[4,6,3,8,7,5,1,2]=>{{1,2,4,5,6,7,8},{3}}=>5
[2,7,4,8,1,5,6,3]=>[7,2,8,4,3,1,5,6]=>{{1,3,5,6,7,8},{2},{4}}=>9
[8,6,5,3,7,2,1,4]=>[5,7,8,1,6,3,4,2]=>{{1,2,3,4,5,6,7,8}}=>0
[4,8,5,3,7,2,1,6]=>[8,4,5,1,7,2,6,3]=>{{1,2,3,4,5,6,7,8}}=>0
[7,4,8,6,5,3,2,1]=>[5,7,4,6,8,1,2,3]=>{{1,3,4,5,6,8},{2,7}}=>1
[3,6,5,1,4,8,7,2]=>[7,3,5,2,1,6,8,4]=>{{1,2,3,4,5,7,8},{6}}=>2
[7,3,6,2,8,4,1,5]=>[3,8,7,1,6,4,5,2]=>{{1,3,4,5,6,7},{2,8}}=>0
[7,5,4,8,1,6,2,3]=>[5,6,7,4,3,8,2,1]=>{{1,2,3,5,6,7,8},{4}}=>4
[6,8,1,5,4,2,7,3]=>[6,5,2,7,1,4,8,3]=>{{1,2,3,4,5,6,7,8}}=>0
[7,2,8,5,4,6,3,1]=>[2,6,5,7,1,8,3,4]=>{{1,2,3,4,5,6,7,8}}=>0
[6,1,8,4,7,2,3,5]=>[6,1,4,8,7,5,3,2]=>{{1,2,3,4,5,6,7,8}}=>0
[6,5,3,7,2,4,8,1]=>[3,6,8,5,2,1,7,4]=>{{1,2,3,4,5,6,8},{7}}=>1
[5,6,2,8,4,3,7,1]=>[7,6,1,5,2,3,8,4]=>{{1,2,3,4,5,6,7,8}}=>0
[5,4,3,8,6,2,7,1]=>[3,5,7,4,6,1,8,2]=>{{1,2,3,5,6,7,8},{4}}=>4
[5,6,2,4,8,3,7,1]=>[6,4,1,7,5,2,8,3]=>{{1,2,3,4,6,7,8},{5}}=>3
[4,7,3,2,5,8,6,1]=>[4,3,5,1,8,7,2,6]=>{{1,4},{2,3,5,6,7,8}}=>0
[5,7,6,2,8,3,4,1]=>[8,6,7,2,5,3,1,4]=>{{1,2,3,4,6,7,8},{5}}=>3
[7,6,4,2,5,8,3,1]=>[4,5,7,2,8,6,1,3]=>{{1,2,3,4,5,7,8},{6}}=>2
[2,4,6,3,8,7,5,1]=>[8,2,4,1,6,7,3,5]=>{{1,3,4,5,6,7,8},{2}}=>6
[1,8,6,5,3,2,7,4]=>[1,5,6,7,3,4,8,2]=>{{1},{2,3,4,5,6,7,8}}=>0
[1,6,3,5,8,2,4,7]=>[1,3,6,8,5,4,2,7]=>{{1},{2,3,4,6,7,8},{5}}=>3
[6,1,3,2,7,8,5,4]=>[3,1,8,2,7,6,4,5]=>{{1,2,3,4,5,7,8},{6}}=>2
[8,6,3,1,7,5,4,2]=>[3,6,8,2,7,1,4,5]=>{{1,2,3,4,5,6,7,8}}=>0
[8,6,3,7,1,5,4,2]=>[3,6,8,7,4,1,2,5]=>{{1,2,3,4,5,6,7,8}}=>0
[4,8,3,7,6,2,5,1]=>[4,3,7,6,8,2,1,5]=>{{1,2,3,4,6,7},{5,8}}=>0
[1,8,6,2,3,7,4,5]=>[1,6,8,3,4,7,5,2]=>{{1},{2,3,4,5,6,7,8}}=>0
[1,4,3,8,2,5,6,7]=>[1,3,8,4,2,5,6,7]=>{{1},{2,3,5,6,7,8},{4}}=>4
[1,3,8,4,2,5,6,7]=>[1,4,3,8,2,5,6,7]=>{{1},{2,4,5,6,7,8},{3}}=>5
[1,7,2,3,8,6,4,5]=>[1,7,2,3,6,8,5,4]=>{{1},{2,3,4,5,6,7,8}}=>0
[1,5,7,3,2,8,4,6]=>[1,8,5,2,4,7,6,3]=>{{1},{2,3,4,5,8},{6,7}}=>1
[1,7,2,3,6,8,4,5]=>[1,7,2,3,8,6,5,4]=>{{1},{2,3,4,5,7,8},{6}}=>2
[1,4,8,3,2,5,6,7]=>[1,8,4,2,3,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>0
[1,7,2,5,8,3,4,6]=>[1,7,2,8,5,4,6,3]=>{{1},{2,3,4,6,7,8},{5}}=>3
[5,2,4,8,1,6,7,3]=>[2,5,6,4,3,7,8,1]=>{{1,2,3,5,6,7,8},{4}}=>4
[1,7,5,6,8,3,4,2]=>[1,6,8,7,5,3,2,4]=>{{1},{2,3,4,6,7,8},{5}}=>3
[1,7,5,6,3,8,4,2]=>[1,5,8,7,3,6,2,4]=>{{1},{2,3,4,5,7,8},{6}}=>2
[1,3,7,5,2,8,6,4]=>[1,5,3,8,4,7,2,6]=>{{1},{2,4,5,6,7,8},{3}}=>5
[1,3,7,2,5,8,6,4]=>[1,5,3,2,8,7,4,6]=>{{1},{2,4,5,6,7,8},{3}}=>5
[1,5,3,7,4,6,2,8]=>[1,3,6,5,2,7,4,8]=>{{1},{2,3,4,5,6,7},{8}}=>0
[1,5,3,7,6,4,2,8]=>[1,3,7,5,6,2,4,8]=>{{1},{2,3,4,5,6,7},{8}}=>0
[7,2,4,8,6,3,1,5]=>[2,6,7,4,8,3,5,1]=>{{1,2,3,5,6,7,8},{4}}=>4
[4,5,7,3,1,2,8,6]=>[8,5,4,1,3,2,7,6]=>{{1,2,3,4,5,6,8},{7}}=>1
[4,5,1,8,3,2,7,6]=>[7,5,2,4,1,3,8,6]=>{{1,2,3,5,6,7,8},{4}}=>4
[3,8,2,1,7,6,4,5]=>[6,3,1,2,7,8,5,4]=>{{1,2,3,4,6,8},{5,7}}=>1
[7,8,2,5,4,3,6,1]=>[7,5,1,8,2,3,4,6]=>{{1,3,4,6,7,8},{2,5}}=>3
[8,5,4,2,1,6,7,3]=>[4,5,6,2,3,7,8,1]=>{{1,2,3,4,5,6,7,8}}=>0
[1,5,6,8,4,2,7,3]=>[1,7,6,5,2,4,8,3]=>{{1},{2,3,4,5,6,7,8}}=>0
[7,5,4,1,8,2,6,3]=>[4,7,8,3,5,2,1,6]=>{{1,2,3,4,6,7,8},{5}}=>3
[7,8,5,3,2,6,1,4]=>[6,5,7,1,3,8,4,2]=>{{1,2,3,4,5,6,7,8}}=>0
[8,2,5,1,7,6,4,3]=>[2,5,7,3,6,8,1,4]=>{{1,2,3,4,5,6,7,8}}=>0
[3,4,2,7,8,6,1,5]=>[7,3,1,4,6,8,5,2]=>{{1,2,3,5,6,7,8},{4}}=>4
[3,7,8,6,5,2,4,1]=>[6,5,3,7,8,2,1,4]=>{{1,2,4,5,6,7,8},{3}}=>5
[4,7,1,5,8,2,6,3]=>[8,4,2,7,5,3,1,6]=>{{1,2,3,4,6,7,8},{5}}=>3
[3,7,6,2,1,8,4,5]=>[8,3,7,1,4,6,5,2]=>{{1,2,3,4,5,7,8},{6}}=>2
[2,7,5,8,3,6,4,1]=>[6,2,7,5,3,8,1,4]=>{{1,3,4,5,6,7,8},{2}}=>6
[7,5,4,8,2,6,3,1]=>[5,6,7,4,2,8,1,3]=>{{1,2,3,5,6,7,8},{4}}=>4
[8,3,4,1,2,6,7,5]=>[3,6,4,2,1,7,8,5]=>{{1,2,3,4,5,6,7,8}}=>0
[7,3,4,8,5,2,1,6]=>[3,7,5,4,8,1,6,2]=>{{1,2,3,5,6,7,8},{4}}=>4
[7,3,1,2,8,5,6,4]=>[3,8,2,1,7,4,5,6]=>{{1,2,3,4,6,8},{5,7}}=>1
[7,1,3,8,4,5,6,2]=>[3,1,8,7,2,4,5,6]=>{{1,2,3,4,5,6,7,8}}=>0
[4,8,1,3,2,7,6,5]=>[7,4,2,1,3,8,5,6]=>{{1,2,3,4,5,7},{6,8}}=>0
[4,8,2,1,3,7,6,5]=>[7,4,1,3,2,8,5,6]=>{{1,2,3,4,5,7},{6,8}}=>0
[6,7,2,8,3,1,4,5]=>[8,7,1,6,3,5,4,2]=>{{1,2,3,4,5,6,7,8}}=>0
[6,2,7,8,4,1,3,5]=>[2,8,7,6,1,5,4,3]=>{{1,2,3,4,5,6,7,8}}=>0
[7,6,2,3,1,8,4,5]=>[7,8,1,2,4,6,5,3]=>{{1,2,3,4,5,7,8},{6}}=>2
[4,3,1,8,5,2,7,6]=>[3,5,2,4,7,1,8,6]=>{{1,2,3,5,6,7,8},{4}}=>4
[8,3,5,6,1,7,2,4]=>[3,8,5,6,4,7,2,1]=>{{1,2,3,4,5,6,7,8}}=>0
[4,5,7,2,3,6,1,8]=>[6,5,4,2,1,7,3,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[6,7,2,3,4,8,1,5]=>[8,7,1,2,3,6,5,4]=>{{1,2,3,4,5,7,8},{6}}=>2
[6,3,5,8,4,7,1,2]=>[3,8,6,5,1,7,4,2]=>{{1,3,4,5,6,7},{2,8}}=>0
[7,2,8,4,5,1,6,3]=>[2,5,4,7,8,3,1,6]=>{{1,2,3,4,5,6,7,8}}=>0
[8,6,2,4,1,5,7,3]=>[4,6,1,7,3,2,8,5]=>{{1,3,4,5,7,8},{2,6}}=>2
[8,5,3,2,1,6,7,4]=>[3,5,6,1,4,7,8,2]=>{{1,2,3,4,5,6,7,8}}=>0
[5,8,6,3,4,1,7,2]=>[7,5,6,1,2,4,8,3]=>{{1,3,4,6,7,8},{2,5}}=>3
[3,7,2,4,1,8,6,5]=>[4,3,1,8,2,7,5,6]=>{{1,2,3,4,5,6,7,8}}=>0
[2,4,7,8,5,1,3,6]=>[7,2,5,4,8,3,6,1]=>{{1,3,5,6,7,8},{2},{4}}=>9
[2,5,3,8,4,1,6,7]=>[3,2,8,5,1,4,6,7]=>{{1,3,4,5,6,7,8},{2}}=>6
[2,4,8,3,5,7,1,6]=>[5,2,4,1,7,8,6,3]=>{{1,3,4,5,6,7,8},{2}}=>6
[1,3,8,2,4,7,5,6]=>[1,7,3,2,4,8,6,5]=>{{1},{2,4,5,6,7,8},{3}}=>5
[1,7,3,2,4,6,5,8]=>[1,3,6,2,4,7,5,8]=>{{1},{2,3,4,5,6,7},{8}}=>0
[3,8,4,7,6,5,1,2]=>[7,3,4,6,8,1,5,2]=>{{1,2,3,4,5,6,7,8}}=>0
[1,5,7,3,2,6,4,8]=>[1,6,5,2,4,7,3,8]=>{{1},{2,3,4,5,6,7},{8}}=>0
[8,7,2,6,3,5,1,4]=>[6,7,1,8,3,2,5,4]=>{{1,2,3,5,6,7},{4,8}}=>0
[1,6,7,3,5,4,8,2]=>[1,6,5,2,8,3,7,4]=>{{1},{2,3,4,5,6,8},{7}}=>1
[8,2,7,4,6,5,1,3]=>[2,4,6,7,8,1,5,3]=>{{1,2,3,4,5,6,7,8}}=>0
[4,1,7,5,6,8,3,2]=>[8,1,4,5,7,6,2,3]=>{{1,2,3,4,5,7,8},{6}}=>2
[5,6,7,4,3,1,8,2]=>[6,5,4,8,1,3,7,2]=>{{1,2,3,4,5,6,8},{7}}=>1
[6,7,8,5,3,1,4,2]=>[7,6,5,8,2,4,1,3]=>{{1,7},{2,3,4,5,6,8}}=>0
[1,6,8,2,7,5,4,3]=>[1,8,6,3,7,2,4,5]=>{{1},{2,3,4,5,6,7,8}}=>0
[1,7,6,2,8,4,3,5]=>[1,7,8,3,6,4,5,2]=>{{1},{2,3,4,5,6,7,8}}=>0
[1,5,2,8,4,3,7,6]=>[1,7,2,5,3,4,8,6]=>{{1},{2,3,4,5,6,7,8}}=>0
[1,2,8,4,3,6,5,7]=>[1,2,4,6,3,8,5,7]=>{{1},{2},{3,4,5,6,7,8}}=>0
[1,7,3,5,2,8,6,4]=>[1,3,5,8,4,7,2,6]=>{{1},{2,3,4,5,6,7,8}}=>0
[1,5,8,3,2,7,4,6]=>[1,7,5,2,4,8,6,3]=>{{1},{2,3,4,5,6,7,8}}=>0
[1,4,8,6,5,2,7,3]=>[1,6,4,5,7,3,8,2]=>{{1},{2,3,4,5,6,7,8}}=>0
[1,5,2,7,6,4,8,3]=>[1,8,2,5,6,3,7,4]=>{{1},{2,3,4,5,6,8},{7}}=>1
[1,2,8,6,5,4,3,7]=>[1,2,5,6,8,3,4,7]=>{{1},{2},{3,4,5,6,7,8}}=>0
[8,5,3,2,1,6,4,7]=>[3,5,6,1,4,8,2,7]=>{{1,2,3,4,5,6,7,8}}=>0
[4,8,7,1,5,2,6,3]=>[7,4,5,3,8,2,1,6]=>{{1,7},{2,3,4,5,6,8}}=>0
[7,6,8,4,1,3,2,5]=>[6,7,4,8,3,2,5,1]=>{{1,2,3,4,5,6,7,8}}=>0
[8,7,1,5,3,6,2,4]=>[5,6,2,7,3,8,4,1]=>{{1,2,3,5,6,8},{4,7}}=>1
[8,4,2,5,3,7,6,1]=>[4,7,1,5,2,8,3,6]=>{{1,2,3,4,5,7},{6,8}}=>0
[7,4,8,2,6,3,1,5]=>[6,7,4,2,8,3,5,1]=>{{1,2,3,4,5,6,7,8}}=>0
[8,7,3,1,4,6,5,2]=>[3,6,7,2,1,8,4,5]=>{{1,2,3,4,5,6,7,8}}=>0
[7,8,6,4,2,5,1,3]=>[6,4,7,8,2,1,5,3]=>{{1,6},{2,3,4,5,7,8}}=>0
[7,8,2,4,6,5,1,3]=>[6,4,1,7,8,2,5,3]=>{{1,2,3,4,5,6,7,8}}=>0
[8,7,3,2,6,1,5,4]=>[3,6,7,1,8,5,2,4]=>{{1,2,3,4,5,6,7,8}}=>0
[8,4,6,7,5,3,2,1]=>[4,7,6,5,8,1,2,3]=>{{1,3,4,5,6,8},{2,7}}=>1
[1,4,8,6,7,5,3,2]=>[1,8,4,6,7,2,3,5]=>{{1},{2,3,4,5,6,7,8}}=>0
[8,6,2,5,7,4,3,1]=>[5,7,1,8,6,2,3,4]=>{{1,2,3,5,6,7},{4,8}}=>0
[7,1,3,6,8,5,4,2]=>[3,1,7,8,6,2,4,5]=>{{1,2,3,4,5,6,7,8}}=>0
[8,1,7,6,4,5,3,2]=>[6,1,7,8,2,3,4,5]=>{{1,2,3,4,5,6,7,8}}=>0
[6,7,2,5,8,1,4,3]=>[7,6,1,8,5,4,2,3]=>{{1,2,3,4,6,7,8},{5}}=>3
[6,3,7,4,8,2,5,1]=>[4,7,3,8,6,2,1,5]=>{{1,2,4,5,6,7,8},{3}}=>5
[8,7,6,4,2,5,3,1]=>[4,6,7,8,2,1,3,5]=>{{1,2,4,5,6,8},{3,7}}=>1
[2,7,6,8,3,5,1,4]=>[7,2,8,6,3,1,5,4]=>{{1,3,4,5,6,7,8},{2}}=>6
[7,2,1,5,3,8,6,4]=>[2,5,1,8,4,7,3,6]=>{{1,2,3,4,5,6,7,8}}=>0
[5,1,8,7,3,4,2,6]=>[8,1,5,7,3,2,6,4]=>{{1,2,4,6,7,8},{3,5}}=>3
[4,6,8,7,5,3,1,2]=>[7,6,4,5,8,1,3,2]=>{{1,2,3,4,5,6,7,8}}=>0
[8,7,5,6,3,1,4,2]=>[5,6,8,7,2,4,1,3]=>{{1,2,4,5,6,7},{3,8}}=>0
[8,7,3,1,6,5,2,4]=>[3,6,7,2,8,1,5,4]=>{{1,2,3,4,5,6,7,8}}=>0
[8,7,3,2,6,5,1,4]=>[3,6,7,1,8,2,5,4]=>{{1,3,4,5,7,8},{2,6}}=>2
[2,8,7,3,6,5,1,4]=>[6,2,7,1,8,3,5,4]=>{{1,3,4,5,6,7,8},{2}}=>6
[8,7,1,2,4,3,6,5]=>[7,8,2,3,1,5,4,6]=>{{1,2,3,4,5,6,7,8}}=>0
[2,8,7,3,1,4,6,5]=>[7,2,8,1,4,5,3,6]=>{{1,3,4,5,6,7,8},{2}}=>6
[2,4,8,7,3,6,5,1]=>[7,2,4,6,1,8,3,5]=>{{1,3,4,5,6,7,8},{2}}=>6
[4,8,7,1,2,6,5,3]=>[7,4,6,3,2,8,1,5]=>{{1,7},{2,3,4,5,6,8}}=>0
[8,7,1,4,3,6,5,2]=>[4,6,2,7,1,8,3,5]=>{{1,2,3,4,5,6,7,8}}=>0
[8,7,3,4,1,6,5,2]=>[3,4,6,7,2,8,1,5]=>{{1,2,3,4,5,6,7,8}}=>0
[8,1,2,3,4,5,7,6,9]=>[7,1,2,3,4,5,8,6,9]=>{{1,2,3,4,5,6,7,8},{9}}=>0
[1,9,2,3,4,5,6,8,7]=>[1,8,2,3,4,5,6,9,7]=>{{1},{2,3,4,5,6,7,8,9}}=>0
[7,1,2,6,4,5,3,8]=>[6,1,2,7,3,4,5,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[7,1,2,4,3,5,6,8]=>[4,1,2,7,3,5,6,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[3,1,6,8,5,7,2,4]=>[6,1,3,5,8,7,4,2]=>{{1,2,4,5,6,7,8},{3}}=>5
[5,8,3,7,4,2,1,6]=>[5,3,8,7,1,2,6,4]=>{{1,5},{2,3,4,6,7,8}}=>0
[4,1,7,3,5,8,6,2]=>[5,1,4,2,8,7,3,6]=>{{1,2,3,4,5,6,7,8}}=>0
[8,1,3,5,2,4,6,7]=>[3,1,5,8,4,2,6,7]=>{{1,2,3,4,5,6,7,8}}=>0
[8,6,2,1,3,7,5,4]=>[6,8,1,3,4,7,2,5]=>{{1,2,3,4,5,6,7,8}}=>0
[1,5,7,3,6,8,2,4]=>[1,8,5,2,7,6,4,3]=>{{1},{2,3,4,5,7,8},{6}}=>2
[8,1,3,6,7,4,2,5]=>[3,1,6,8,7,4,5,2]=>{{1,2,3,4,6,8},{5,7}}=>1
[5,1,7,3,6,8,2,4]=>[8,1,5,2,7,6,4,3]=>{{1,2,3,4,5,7,8},{6}}=>2
[1,8,2,7,5,4,3,6]=>[1,5,2,7,8,3,6,4]=>{{1},{2,3,4,5,6,7,8}}=>0
[8,2,1,7,5,4,3,6]=>[2,5,1,7,8,3,6,4]=>{{1,2,3,4,5,6,7,8}}=>0
[8,3,7,5,6,2,1,4]=>[3,6,5,8,7,2,4,1]=>{{1,3,4,5,7,8},{2,6}}=>2
[2,3,8,7,5,4,1,6]=>[5,2,3,7,8,1,6,4]=>{{1,4,5,6,7,8},{2},{3}}=>10
[8,1,7,6,4,3,2,5]=>[6,1,7,8,2,4,5,3]=>{{1,2,3,4,5,6,7,8}}=>0
[5,6,8,1,7,4,3,2]=>[8,7,5,3,6,1,2,4]=>{{1,3,4,5,6,8},{2,7}}=>1
[4,5,8,7,3,1,6,2]=>[8,7,4,5,1,3,2,6]=>{{1,3,4,5,6,8},{2,7}}=>1
[3,1,8,4,7,6,5,2]=>[4,1,3,6,7,8,2,5]=>{{1,2,4,5,6,7,8},{3}}=>5
[8,3,2,5,6,7,1,4]=>[3,5,1,8,6,7,4,2]=>{{1,3},{2,4,5,6,7,8}}=>0
[7,3,4,1,6,8,2,5]=>[3,7,4,2,8,6,5,1]=>{{1,2,3,4,5,7,8},{6}}=>2
[7,2,1,6,3,4,8,5]=>[2,6,1,8,4,5,7,3]=>{{1,2,3,4,5,6,8},{7}}=>1
[3,7,4,2,5,8,6,1]=>[5,3,4,1,8,7,2,6]=>{{1,2,3,4,5,6,7,8}}=>0
[3,7,4,2,1,8,6,5]=>[8,3,4,1,2,7,5,6]=>{{1,2,3,4,5,6,7,8}}=>0
[8,3,7,2,4,1,5,6]=>[3,8,7,1,2,5,6,4]=>{{1,2,3,4,5,6,7,8}}=>0
[8,6,7,2,1,4,3,5]=>[6,8,7,2,4,3,5,1]=>{{1,2,3,4,5,6,7,8}}=>0
[8,3,7,5,1,2,6,4]=>[3,7,5,8,4,2,1,6]=>{{1,2,3,4,5,6,7,8}}=>0
[3,7,4,6,1,5,2,8]=>[7,3,4,6,2,1,5,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[4,5,8,7,6,1,3,2]=>[8,6,4,5,7,3,1,2]=>{{1,2,3,4,5,6,7,8}}=>0
[8,7,3,5,6,1,4,2]=>[3,5,6,8,7,4,1,2]=>{{1,2,3,4,5,6,7,8}}=>0
[7,6,3,8,1,4,5,2]=>[3,7,8,6,4,2,1,5]=>{{1,2,3,4,5,6,7,8}}=>0
[8,5,3,1,6,4,7,2]=>[3,5,7,2,6,1,8,4]=>{{1,2,3,4,5,6,7,8}}=>0
[8,7,3,1,4,5,6,2]=>[3,7,8,2,1,4,5,6]=>{{1,2,3,4,5,6,7,8}}=>0
[8,6,4,1,7,5,2,3]=>[4,6,8,3,7,1,5,2]=>{{1,2,3,4,6,8},{5,7}}=>1
[8,5,3,1,6,4,2,7]=>[3,5,8,2,6,1,4,7]=>{{1,2,3,4,5,6,7,8}}=>0
[8,7,4,1,5,2,3,6]=>[4,5,7,3,8,2,6,1]=>{{1,2,3,4,5,6,7,8}}=>0
[8,6,4,1,2,7,5,3]=>[4,6,8,3,2,7,1,5]=>{{1,2,3,4,5,6,7,8}}=>0
[8,7,4,1,2,5,3,6]=>[4,7,8,3,2,1,6,5]=>{{1,2,3,4,5,6,7,8}}=>0
[8,7,5,1,2,3,6,4]=>[5,7,8,3,4,2,1,6]=>{{1,2,3,4,5,6,7,8}}=>0
[1,8,3,4,5,2,6,7]=>[1,3,4,5,8,2,6,7]=>{{1},{2,3,4,5,6,7,8}}=>0
[1,8,6,4,2,5,3,7]=>[1,4,6,8,3,2,5,7]=>{{1},{2,3,4,5,6,7,8}}=>0
[8,2,6,4,1,5,7,3]=>[2,4,6,7,3,1,8,5]=>{{1,2,3,4,5,6,7,8}}=>0
[4,1,8,5,3,2,6,7]=>[8,1,4,5,2,3,6,7]=>{{1,2,3,4,5,6,7,8}}=>0
[6,8,2,5,1,4,7,3]=>[6,5,1,7,4,2,8,3]=>{{1,2,3,4,5,6,7,8}}=>0
[3,8,1,5,6,2,4,7]=>[5,3,2,8,6,4,1,7]=>{{1,4,5,6,7,8},{2,3}}=>5
[3,2,8,1,6,4,5,7]=>[2,6,3,1,8,5,4,7]=>{{1,2,4,5,6,7,8},{3}}=>5
[2,6,1,7,8,5,3,4]=>[8,2,1,7,6,3,5,4]=>{{1,3,4,5,6,7,8},{2}}=>6
[1,4,8,5,6,7,3,2]=>[1,8,4,5,6,7,2,3]=>{{1},{2,3,4,5,6,7,8}}=>0
[6,5,8,4,2,1,7,3]=>[5,6,4,7,2,3,8,1]=>{{1,2,3,4,5,6,7,8}}=>0
[2,1,5,8,6,4,7,3]=>[2,1,7,5,6,3,8,4]=>{{1,2},{3,4,5,6,7,8}}=>0
[4,2,8,5,6,3,7,1]=>[2,7,4,5,6,1,8,3]=>{{1,2,3,4,5,6,7,8}}=>0
[7,8,6,2,4,1,5,3]=>[7,6,8,2,1,5,3,4]=>{{1,2,3,4,5,6,7,8}}=>0
[7,2,8,4,6,1,5,3]=>[2,6,4,7,8,5,1,3]=>{{1,2,3,4,5,6,7,8}}=>0
[7,4,6,2,8,1,5,3]=>[4,8,7,2,6,5,1,3]=>{{1,2,3,4,7,8},{5,6}}=>2
[6,7,3,4,8,5,1,2]=>[4,3,7,8,6,1,5,2]=>{{1,2,3,4,5,6,7,8}}=>0
[7,4,1,8,2,5,6,3]=>[7,8,2,4,3,1,5,6]=>{{1,2,3,5,6,7,8},{4}}=>4
[8,3,2,5,6,1,7,4]=>[3,5,1,7,6,4,8,2]=>{{1,3},{2,4,5,6,7,8}}=>0
[5,8,7,2,6,3,4,1]=>[8,5,6,2,7,3,1,4]=>{{1,2,4,5,7,8},{3,6}}=>2
[6,7,5,1,8,2,3,4]=>[7,6,8,3,5,4,2,1]=>{{1,2,3,4,6,7,8},{5}}=>3
[5,3,8,7,1,6,4,2]=>[5,7,3,6,4,8,1,2]=>{{1,2,4,5,6,7,8},{3}}=>5
[5,8,4,7,1,6,3,2]=>[6,4,7,5,3,8,1,2]=>{{1,2,3,4,5,6,7,8}}=>0
[5,2,1,6,8,4,7,3]=>[2,7,1,6,5,3,8,4]=>{{1,2,3,4,6,7,8},{5}}=>3
[6,5,8,7,4,2,3,1]=>[7,8,5,6,1,3,2,4]=>{{1,2,3,4,5,6,7,8}}=>0
[6,8,5,7,4,2,1,3]=>[7,5,8,6,1,3,4,2]=>{{1,2,3,4,5,6,7,8}}=>0
[2,7,5,8,6,3,4,1]=>[6,2,8,5,7,3,1,4]=>{{1,3,4,5,6,7,8},{2}}=>6
[2,7,5,3,4,8,6,1]=>[5,2,8,1,3,7,4,6]=>{{1,3,4,5,6,7,8},{2}}=>6
[5,1,6,3,2,4,8,7]=>[6,1,5,2,4,3,8,7]=>{{1,2,3,4,5,6},{7,8}}=>0
[4,8,5,6,7,3,1,2]=>[8,4,7,5,6,1,3,2]=>{{1,2,4,5,6,8},{3,7}}=>1
[5,8,6,2,7,4,1,3]=>[8,5,7,2,6,1,4,3]=>{{1,2,3,4,5,6,7,8}}=>0
[2,4,6,7,8,5,1,3]=>[8,2,7,4,6,1,5,3]=>{{1,3,5,6,7,8},{2},{4}}=>9
[4,7,6,2,8,5,1,3]=>[8,4,7,2,6,1,5,3]=>{{1,3,5,6,7,8},{2,4}}=>4
[6,3,1,4,8,2,7,5]=>[3,4,2,7,6,5,8,1]=>{{1,2,3,4,7,8},{5,6}}=>2
[7,5,6,1,3,8,4,2]=>[5,8,7,3,2,6,1,4]=>{{1,2,3,4,5,7,8},{6}}=>2
[1,5,7,8,4,2,3,6]=>[1,8,7,5,2,4,6,3]=>{{1},{2,3,4,5,6,7,8}}=>0
[1,5,7,8,3,6,2,4]=>[1,7,6,5,3,8,4,2]=>{{1},{2,3,4,5,6,7,8}}=>0
[6,4,8,5,3,2,1,7]=>[5,8,4,6,1,2,3,7]=>{{1,5},{2,3,4,6,7,8}}=>0
[1,6,7,2,4,3,5,8]=>[1,7,6,3,2,5,4,8]=>{{1},{2,3,4,5,6,7},{8}}=>0
[3,4,8,2,5,1,7,6]=>[5,4,3,1,7,2,8,6]=>{{1,2,4,5,6,7,8},{3}}=>5
[1,4,6,7,8,3,5,2]=>[1,8,7,4,6,3,2,5]=>{{1},{2,3,5,6,7,8},{4}}=>4
[3,7,5,1,6,8,4,2]=>[8,3,5,2,7,6,1,4]=>{{1,2,3,4,5,7,8},{6}}=>2
[6,8,7,1,5,3,4,2]=>[7,5,6,3,8,2,1,4]=>{{1,7},{2,3,4,5,6,8}}=>0
[3,7,8,5,4,6,2,1]=>[6,5,3,7,1,8,2,4]=>{{1,2,4,5,6,7,8},{3}}=>5
[4,8,7,2,5,6,3,1]=>[6,4,5,2,7,8,1,3]=>{{1,3,5,6,7,8},{2,4}}=>4
[6,4,8,1,5,7,3,2]=>[5,6,4,3,8,7,1,2]=>{{1,2,5,6,7,8},{3,4}}=>4
[4,7,1,8,5,6,3,2]=>[6,5,2,4,7,8,1,3]=>{{1,2,3,5,6,7,8},{4}}=>4
[4,5,8,3,7,6,2,1]=>[7,5,4,1,6,8,2,3]=>{{1,2,3,4,5,6,7,8}}=>0
[3,5,8,6,4,7,2,1]=>[8,5,3,6,1,7,2,4]=>{{1,2,4,5,6,7,8},{3}}=>5
[2,4,8,5,7,6,1,3]=>[7,2,4,5,6,8,3,1]=>{{1,3,4,5,6,7,8},{2}}=>6
[2,6,3,8,5,1,7,4]=>[3,2,6,5,7,4,8,1]=>{{1,3,4,5,6,7,8},{2}}=>6
[4,1,5,8,6,7,3,2]=>[8,1,5,4,6,7,2,3]=>{{1,2,3,5,6,7,8},{4}}=>4
[4,5,8,2,6,3,1,7]=>[8,5,4,2,6,1,3,7]=>{{1,2,3,4,5,6,7,8}}=>0
[8,1,4,5,7,3,2,6]=>[4,1,8,5,7,2,6,3]=>{{1,2,4,5,6,7},{3,8}}=>0
[7,2,3,8,4,5,6,1]=>[2,3,8,7,1,4,5,6]=>{{1,2,3,4,5,6,7,8}}=>0
[5,8,4,3,7,2,1,6]=>[5,4,8,1,7,2,6,3]=>{{1,2,4,5,6,7},{3,8}}=>0
[4,8,1,7,6,2,5,3]=>[7,4,2,6,8,5,1,3]=>{{1,7},{2,3,4,5,6,8}}=>0
[7,2,8,6,5,3,4,1]=>[2,6,5,7,8,3,1,4]=>{{1,2,3,4,5,6,7,8}}=>0
[6,5,1,8,7,4,3,2]=>[7,8,2,5,6,1,3,4]=>{{1,2,3,4,5,6,7,8}}=>0
[7,5,1,8,6,4,3,2]=>[6,8,2,5,7,1,3,4]=>{{1,6},{2,3,4,5,7,8}}=>0
[8,5,1,7,6,4,3,2]=>[5,8,2,6,7,1,3,4]=>{{1,2,3,4,5,6,7,8}}=>0
[4,5,3,1,8,7,2,6]=>[4,3,7,2,5,8,6,1]=>{{1,2,3,4,6,7,8},{5}}=>3
[8,6,5,7,1,3,2,4]=>[5,7,8,6,4,2,3,1]=>{{1,2,3,4,5,6,7,8}}=>0
[1,5,8,6,2,7,4,3]=>[1,8,5,6,4,7,2,3]=>{{1},{2,3,4,5,6,7,8}}=>0
[8,5,2,6,4,3,1,7]=>[5,8,1,6,2,3,4,7]=>{{1,2,3,4,5,6,7,8}}=>0
[8,6,4,5,2,1,7,3]=>[4,5,7,6,2,3,8,1]=>{{1,3,4,6,7,8},{2,5}}=>3
[6,7,1,3,8,5,4,2]=>[8,7,2,1,6,3,4,5]=>{{1,2,3,4,5,6,7,8}}=>0
[1,2,6,7,8,5,3,4]=>[1,2,8,7,6,3,5,4]=>{{1},{2},{3,4,5,6,7,8}}=>0
[1,6,7,4,8,3,2,5]=>[1,7,4,8,6,3,5,2]=>{{1},{2,3,4,5,6,7,8}}=>0
[8,7,2,1,5,4,6,3]=>[5,7,1,3,8,2,4,6]=>{{1,2,3,4,5,6,7,8}}=>0
[6,1,8,7,2,3,5,4]=>[8,1,6,7,4,5,2,3]=>{{1,2,3,4,5,6,7,8}}=>0
[8,6,1,2,7,3,4,5]=>[6,8,2,3,7,5,4,1]=>{{1,2,3,4,5,6,7,8}}=>0
[3,2,6,4,8,7,5,1]=>[2,4,3,8,6,7,1,5]=>{{1,2,4,5,6,7,8},{3}}=>5
[2,7,4,8,3,6,1,5]=>[6,2,7,4,1,8,5,3]=>{{1,3,5,6,7,8},{2},{4}}=>9
[4,7,3,8,6,1,5,2]=>[6,3,7,4,8,5,1,2]=>{{1,2,3,5,6,7,8},{4}}=>4
[4,1,2,6,8,7,5,3]=>[8,1,2,4,6,7,3,5]=>{{1,2,3,5,6,7,8},{4}}=>4
[3,8,1,4,5,7,2,6]=>[4,3,2,5,7,8,6,1]=>{{1,4,5,6,7,8},{2,3}}=>5
[3,8,1,4,2,5,7,6]=>[4,3,2,7,1,5,8,6]=>{{1,4,5,6,7,8},{2,3}}=>5
[4,1,8,3,5,2,7,6]=>[5,1,4,2,7,3,8,6]=>{{1,2,3,4,5,6,7,8}}=>0
[3,8,1,2,5,4,7,6]=>[5,3,2,1,7,4,8,6]=>{{1,4,5,6,7,8},{2,3}}=>5
[4,2,8,3,5,1,7,6]=>[2,5,4,1,7,3,8,6]=>{{1,2,3,4,5,6,7,8}}=>0
[3,8,2,4,5,7,6,1]=>[4,3,1,5,7,8,2,6]=>{{1,2,3,4,5,7},{6,8}}=>0
[3,8,1,5,2,4,7,6]=>[5,3,2,7,4,1,8,6]=>{{1,4,5,6,7,8},{2,3}}=>5
[7,6,1,4,3,2,5,8]=>[4,6,2,7,1,5,3,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[3,6,2,1,5,8,7,4]=>[5,3,1,2,7,6,8,4]=>{{1,2,3,4,5,7,8},{6}}=>2
[2,6,8,1,5,3,7,4]=>[6,2,5,3,7,4,8,1]=>{{1,3,4,5,6,7,8},{2}}=>6
[4,5,8,2,3,6,7,1]=>[6,5,4,2,1,7,8,3]=>{{1,2,3,4,5,6,7,8}}=>0
[2,4,8,5,3,6,7,1]=>[6,2,4,5,1,7,8,3]=>{{1,3,4,5,6,7,8},{2}}=>6
[4,8,5,3,2,6,7,1]=>[6,4,5,1,2,7,8,3]=>{{1,2,3,4,5,6,7,8}}=>0
[3,5,4,2,8,6,7,1]=>[6,3,4,1,5,7,8,2]=>{{1,2,3,4,6,7,8},{5}}=>3
[7,5,2,4,3,8,6,1]=>[4,5,1,8,2,7,3,6]=>{{1,3,4,6,7,8},{2,5}}=>3
[6,8,1,2,5,4,7,3]=>[6,5,2,3,7,1,8,4]=>{{1,6},{2,3,4,5,7,8}}=>0
[3,5,2,8,4,6,7,1]=>[6,3,1,5,2,7,8,4]=>{{1,2,3,4,5,6,7,8}}=>0
[6,1,8,3,5,4,7,2]=>[6,1,5,2,7,3,8,4]=>{{1,2,3,4,5,6,7,8}}=>0
[5,4,8,3,2,6,7,1]=>[5,6,4,1,2,7,8,3]=>{{1,2,3,4,5,6,7,8}}=>0
[5,8,2,3,4,6,7,1]=>[6,5,1,2,3,7,8,4]=>{{1,2,3,4,5,6,7,8}}=>0
[6,2,1,7,8,5,4,3]=>[2,8,1,7,6,3,4,5]=>{{1,2,3,5,6,8},{4,7}}=>1
[8,4,6,7,3,2,5,1]=>[4,8,7,6,1,3,2,5]=>{{1,2,3,4,5,6,7,8}}=>0
[7,5,2,1,4,3,8,6]=>[5,8,1,3,2,4,7,6]=>{{1,2,3,4,5,6,8},{7}}=>1
[3,2,7,8,6,1,4,5]=>[2,7,3,6,8,5,4,1]=>{{1,2,4,5,6,7,8},{3}}=>5
[5,4,8,1,7,3,6,2]=>[5,8,4,3,7,1,2,6]=>{{1,2,5,6,7,8},{3,4}}=>4
[7,8,3,2,4,6,5,1]=>[6,3,7,1,2,8,4,5]=>{{1,2,3,4,5,6,7,8}}=>0
[2,5,4,8,7,3,6,1]=>[5,2,8,4,7,1,3,6]=>{{1,3,5,6,7,8},{2},{4}}=>9
[7,8,6,3,1,4,5,2]=>[7,6,8,1,4,3,2,5]=>{{1,2,3,4,5,6,7,8}}=>0
[3,8,6,1,7,5,2,4]=>[8,3,6,2,7,1,5,4]=>{{1,2,3,4,6,8},{5,7}}=>1
[7,6,2,8,5,1,3,4]=>[6,7,1,5,8,4,3,2]=>{{1,2,3,4,5,6,7,8}}=>0
[1,5,7,6,2,8,4,3]=>[1,8,5,7,4,6,2,3]=>{{1},{2,3,4,5,7,8},{6}}=>2
[6,7,8,3,5,4,2,1]=>[7,6,5,1,8,2,3,4]=>{{1,3,4,5,7,8},{2,6}}=>2
[7,6,2,3,5,4,8,1]=>[5,6,1,2,8,3,7,4]=>{{1,2,3,4,5,6,8},{7}}=>1
[8,5,2,4,3,6,1,7]=>[4,5,1,6,2,8,3,7]=>{{1,3,4,6,7,8},{2,5}}=>3
[7,4,8,2,1,5,6,3]=>[7,8,4,2,3,1,5,6]=>{{1,2,3,4,5,6,7,8}}=>0
[8,3,7,1,6,4,2,5]=>[3,7,6,2,8,4,5,1]=>{{1,2,3,4,5,6,7,8}}=>0
[5,8,1,6,7,4,2,3]=>[8,5,2,7,6,1,4,3]=>{{1,2,3,5,6,8},{4,7}}=>1
[7,1,3,4,6,2,8,5]=>[3,1,4,6,8,5,7,2]=>{{1,2,3,4,5,6,8},{7}}=>1
[4,7,2,8,5,3,1,6]=>[7,5,1,4,8,2,6,3]=>{{1,2,3,5,6,7,8},{4}}=>4
[6,5,2,8,4,7,1,3]=>[6,8,1,5,2,7,4,3]=>{{1,2,3,4,5,6,7,8}}=>0
[7,8,1,3,5,4,2,6]=>[7,5,2,1,8,3,6,4]=>{{1,2,3,4,5,6,7,8}}=>0
[4,7,1,6,8,3,5,2]=>[8,4,2,7,6,3,1,5]=>{{1,2,3,4,5,6,7,8}}=>0
[1,8,7,3,2,5,4,6]=>[1,7,8,2,4,3,6,5]=>{{1},{2,3,4,5,6,7,8}}=>0
[8,6,3,5,7,4,1,2]=>[3,5,7,8,6,1,4,2]=>{{1,2,3,4,5,6,7,8}}=>0
[8,5,3,2,1,4,7,6]=>[3,5,7,1,4,2,8,6]=>{{1,2,3,4,5,6,7,8}}=>0
[1,2,7,6,8,4,3,5]=>[1,2,7,8,6,4,5,3]=>{{1},{2},{3,4,5,6,7,8}}=>0
[1,5,6,3,2,8,4,7]=>[1,8,5,2,4,6,3,7]=>{{1},{2,3,4,5,7,8},{6}}=>2
[1,2,5,8,4,6,3,7]=>[1,2,6,5,3,8,4,7]=>{{1},{2},{3,4,5,6,7,8}}=>0
[7,5,8,6,2,3,4,1]=>[6,8,5,7,3,2,1,4]=>{{1,2,4,6,7,8},{3,5}}=>3
[1,8,5,7,6,3,2,4]=>[1,5,8,6,7,3,4,2]=>{{1},{2,3,4,5,6,7,8}}=>0
[1,8,4,7,5,3,2,6]=>[1,4,7,5,8,2,6,3]=>{{1},{2,3,4,5,6,7,8}}=>0
[1,2,6,8,4,3,7,5]=>[1,2,7,6,3,5,8,4]=>{{1},{2},{3,4,5,6,7,8}}=>0
[7,6,2,4,5,3,1,8]=>[4,5,1,6,7,2,3,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[7,6,2,4,3,5,1,8]=>[4,6,1,7,2,3,5,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[8,7,6,1,4,3,5,2]=>[6,7,8,3,1,4,2,5]=>{{1,3,4,5,6,8},{2,7}}=>1
[8,7,6,1,3,5,4,2]=>[6,7,8,3,2,1,4,5]=>{{1,6},{2,3,4,5,7,8}}=>0
[8,7,5,4,1,2,6,3]=>[4,5,7,8,3,2,1,6]=>{{1,2,3,4,5,6,7,8}}=>0
[5,7,8,1,3,4,2,6]=>[8,7,5,3,2,1,6,4]=>{{1,2,3,4,5,6,7,8}}=>0
[3,7,5,8,4,1,2,6]=>[8,3,7,5,1,4,6,2]=>{{1,2,3,4,5,6,7,8}}=>0
[7,5,6,8,1,3,4,2]=>[6,8,7,5,4,2,1,3]=>{{1,2,3,6,7,8},{4,5}}=>3
[4,1,8,2,3,6,7,5]=>[6,1,4,3,2,7,8,5]=>{{1,2,5,6,7,8},{3,4}}=>4
[5,2,3,8,1,7,4,6]=>[2,3,7,5,4,8,6,1]=>{{1,2,3,6,7,8},{4,5}}=>3
[8,6,5,3,7,4,2,1]=>[5,7,8,1,6,2,3,4]=>{{1,2,3,4,5,6,7,8}}=>0
[8,4,2,5,6,3,7,1]=>[4,7,1,5,6,2,8,3]=>{{1,2,3,4,5,6,7,8}}=>0
[8,6,2,7,5,4,3,1]=>[5,7,1,6,8,2,3,4]=>{{1,2,3,4,5,6,7,8}}=>0
[8,2,1,4,3,6,5,7,9]=>[2,4,1,6,3,8,5,7,9]=>{{1,2,3,4,5,6,7,8},{9}}=>0
[2,7,8,3,1,4,5,6]=>[8,2,7,1,4,5,6,3]=>{{1,3,4,5,6,7,8},{2}}=>6
[1,7,8,5,6,3,2,4]=>[1,6,5,8,7,3,4,2]=>{{1},{2,3,4,5,6,7,8}}=>0
[1,7,5,2,3,4,8,6]=>[1,5,8,3,4,2,7,6]=>{{1},{2,3,4,5,6,8},{7}}=>1
[1,2,8,6,3,4,5,7]=>[1,2,6,8,4,5,3,7]=>{{1},{2},{3,4,5,6,7,8}}=>0
[1,6,7,8,4,2,3,5]=>[1,8,7,6,2,5,4,3]=>{{1},{2,3,4,5,6,7,8}}=>0
[1,7,4,2,3,8,5,6]=>[1,4,8,3,2,7,6,5]=>{{1},{2,3,4,5,8},{6,7}}=>1
[1,7,8,4,2,3,5,6]=>[1,7,4,8,3,5,6,2]=>{{1},{2,3,4,5,6,7,8}}=>0
[1,7,3,5,6,2,8,4]=>[1,3,5,8,6,4,7,2]=>{{1},{2,3,4,5,6,8},{7}}=>1
[1,7,8,3,4,5,2,6]=>[1,8,7,2,3,4,6,5]=>{{1},{2,3,4,5,6,7,8}}=>0
[1,2,8,4,5,6,3,7]=>[1,2,4,5,6,8,3,7]=>{{1},{2},{3,4,5,6,7,8}}=>0
[5,1,8,2,6,4,7,3]=>[7,1,5,3,6,2,8,4]=>{{1,2,3,4,5,6,7,8}}=>0
[3,1,8,4,6,2,7,5]=>[4,1,3,6,7,5,8,2]=>{{1,2,4,5,6,7,8},{3}}=>5
[3,4,7,6,8,2,5,1]=>[8,4,3,7,6,2,1,5]=>{{1,2,4,5,6,7,8},{3}}=>5
[5,2,8,4,1,3,6,7]=>[2,5,4,8,3,1,6,7]=>{{1,2,3,4,5,6,7,8}}=>0
[7,6,8,1,2,5,4,3]=>[7,8,6,3,4,1,2,5]=>{{1,2,3,4,5,6,7,8}}=>0
[8,6,4,1,2,5,3,7]=>[4,6,8,3,2,1,5,7]=>{{1,2,3,4,5,6,7,8}}=>0
[3,8,4,6,1,5,2,7]=>[8,3,4,6,2,1,5,7]=>{{1,2,3,4,5,6,7,8}}=>0
[7,3,1,2,5,8,4,6]=>[3,5,2,1,8,7,6,4]=>{{1,2,3,4,5,8},{6,7}}=>1
[8,4,2,5,6,7,3,1]=>[4,8,1,5,6,7,2,3]=>{{1,2,3,4,5,6,7,8}}=>0
[6,1,7,5,4,8,2,3]=>[7,1,5,8,2,6,4,3]=>{{1,2,3,4,5,7,8},{6}}=>2
[3,7,2,1,6,8,4,5]=>[7,3,1,2,8,6,5,4]=>{{1,2,3,4,5,7,8},{6}}=>2
[5,8,1,6,4,7,3,2]=>[8,5,2,6,1,7,3,4]=>{{1,2,3,4,5,6,7,8}}=>0
[6,8,1,4,7,3,5,2]=>[6,4,2,8,7,3,1,5]=>{{1,2,3,4,5,6,7,8}}=>0
[5,6,2,1,8,3,4,7]=>[8,6,1,3,5,4,2,7]=>{{1,2,3,4,6,7,8},{5}}=>3
[7,2,4,6,8,3,1,5]=>[2,4,8,7,6,3,5,1]=>{{1,2,3,4,5,6,7,8}}=>0
[2,7,4,8,6,1,5,3]=>[6,2,7,4,8,5,1,3]=>{{1,3,5,6,7,8},{2},{4}}=>9
[3,7,8,6,4,2,5,1]=>[7,6,3,8,1,4,2,5]=>{{1,2,4,5,6,7,8},{3}}=>5
[4,5,7,3,6,8,1,2]=>[8,5,4,1,7,6,3,2]=>{{1,2,3,4,5,7,8},{6}}=>2
[6,2,3,5,7,1,4,8]=>[2,3,6,7,5,4,1,8]=>{{1,2,3,4,6,7},{5},{8}}=>2
[7,8,1,2,5,6,4,3]=>[6,5,2,3,7,8,1,4]=>{{1,2,3,4,5,6,7,8}}=>0
[7,1,3,6,8,5,2,4]=>[3,1,7,8,6,2,5,4]=>{{1,2,3,5,6,7},{4,8}}=>0
[3,8,2,4,5,1,6,7]=>[4,3,1,5,8,2,6,7]=>{{1,2,3,4,5,6,7,8}}=>0
[3,8,1,4,7,6,5,2]=>[4,3,2,6,7,8,1,5]=>{{1,4,5,6,7,8},{2,3}}=>5
[6,2,3,8,7,5,4,1]=>[2,3,8,6,7,1,4,5]=>{{1,2,3,4,5,6,7,8}}=>0
[6,1,7,8,5,3,2,4]=>[7,1,6,5,8,3,4,2]=>{{1,2,4,5,7,8},{3,6}}=>2
[7,1,5,2,6,3,4,8]=>[5,1,7,3,6,4,2,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[6,7,1,8,3,4,5,2]=>[8,7,2,6,3,4,1,5]=>{{1,2,3,5,7,8},{4,6}}=>2
[3,6,5,2,7,1,4,8]=>[7,3,6,1,5,4,2,8]=>{{1,2,3,4,6,7},{5},{8}}=>2
[6,8,3,4,7,1,5,2]=>[4,3,6,8,7,5,1,2]=>{{1,2,3,4,5,6,7,8}}=>0
[4,5,6,1,2,3,10,11,12,7,8,9]=>[6,5,4,3,2,1,12,11,10,9,8,7]=>{{1,6},{2,5},{3,4},{7,12},{8,11},{9,10}}=>6
[4,2,5,3,7,6,1,8]=>[2,6,4,1,5,7,3,8]=>{{1,2,3,4,6,7},{5},{8}}=>2
[7,2,5,3,6,4,1,8]=>[2,5,7,1,6,3,4,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[8,2,5,4,1,6,3,7]=>[2,4,5,6,3,8,1,7]=>{{1,2,4,6,7,8},{3,5}}=>3
[8,2,6,4,1,5,3,7]=>[2,4,6,8,3,1,5,7]=>{{1,2,3,4,5,6,7,8}}=>0
[6,2,1,4,8,5,3,7]=>[2,4,1,8,6,3,5,7]=>{{1,2,3,4,5,6,7,8}}=>0
[5,2,1,4,8,6,3,7]=>[2,4,1,6,5,8,3,7]=>{{1,2,3,4,6,7,8},{5}}=>3
[4,2,8,3,7,5,1,6]=>[2,7,4,1,8,3,6,5]=>{{1,2,3,4,6,7},{5,8}}=>0
[1,3,7,4,8,5,2,6]=>[1,4,3,8,7,2,6,5]=>{{1},{2,4,5,6,7,8},{3}}=>5
[3,2,7,4,8,5,1,6]=>[2,4,3,8,7,1,6,5]=>{{1,2,4,5,6,7,8},{3}}=>5
[6,2,5,3,8,4,1,7]=>[2,6,8,1,5,3,4,7]=>{{1,2,3,4,6,7,8},{5}}=>3
[8,2,5,3,7,4,1,6]=>[2,5,8,1,7,3,6,4]=>{{1,2,3,4,5,6,7,8}}=>0
[1,3,6,4,8,5,2,7]=>[1,4,3,8,6,2,5,7]=>{{1},{2,4,5,6,7,8},{3}}=>5
[8,5,1,3,6,4,2,7]=>[5,8,2,1,6,3,4,7]=>{{1,2,3,4,5,6,7,8}}=>0
[4,2,6,3,1,7,5,8]=>[2,7,4,1,3,6,5,8]=>{{1,2,3,4,5,7},{6},{8}}=>1
[4,2,7,3,1,6,5,8]=>[2,6,4,1,3,7,5,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[1,5,2,4,8,6,3,7]=>[1,4,2,6,5,8,3,7]=>{{1},{2,3,4,6,7,8},{5}}=>3
[8,3,7,4,1,5,2,6]=>[3,7,4,8,2,1,6,5]=>{{1,2,3,4,5,6,7,8}}=>0
[1,5,2,8,7,4,3,6]=>[1,8,2,5,7,3,6,4]=>{{1},{2,3,4,5,6,7,8}}=>0
[2,5,1,7,4,8,6,3]=>[8,2,1,5,3,7,4,6]=>{{1,3,4,5,6,7,8},{2}}=>6
[8,6,7,3,5,2,1,4]=>[5,7,6,1,8,3,4,2]=>{{1,2,4,5,7,8},{3,6}}=>2
[1,6,3,2,4,7,8,5]=>[1,3,8,2,4,6,7,5]=>{{1},{2,3,4,5,8},{6},{7}}=>2
[7,4,1,8,5,6,2,3]=>[5,6,2,4,7,8,3,1]=>{{1,2,3,5,6,7,8},{4}}=>4
[5,2,1,8,4,6,7,3]=>[2,6,1,5,3,7,8,4]=>{{1,2,3,4,5,6,7,8}}=>0
[6,2,1,4,7,5,8,3]=>[2,4,1,8,6,3,7,5]=>{{1,2,3,4,5,6,8},{7}}=>1
[1,2,8,4,6,3,5,7]=>[1,2,4,6,8,5,3,7]=>{{1},{2},{3,4,5,6,7,8}}=>0
[1,2,8,4,7,3,5,6]=>[1,2,4,7,8,5,6,3]=>{{1},{2},{3,4,5,6,7,8}}=>0
[8,3,2,4,6,7,1,5]=>[3,4,1,6,8,7,5,2]=>{{1,3},{2,4,5,6,7,8}}=>0
[4,2,7,6,1,8,5,3]=>[2,8,4,7,3,6,1,5]=>{{1,2,3,4,5,7,8},{6}}=>2
[3,6,5,2,1,8,4,7]=>[8,3,5,1,4,6,2,7]=>{{1,2,3,4,5,7,8},{6}}=>2
[6,8,5,2,7,3,4,1]=>[7,5,8,2,6,3,1,4]=>{{1,7},{2,3,4,5,6,8}}=>0
[5,4,7,8,2,3,6,1]=>[7,8,5,4,2,1,3,6]=>{{1,2,3,5,6,7,8},{4}}=>4
[1,9,2,4,5,6,7,8,3]=>[1,4,2,5,6,7,8,9,3]=>{{1},{2,3,4,5,6,7,8,9}}=>0
[5,8,1,7,6,4,2,3]=>[8,5,2,6,7,1,4,3]=>{{1,2,3,4,5,6,7,8}}=>0
[5,6,7,1,8,3,4,2]=>[8,7,6,3,5,2,1,4]=>{{1,2,3,4,6,7,8},{5}}=>3
[1,5,8,2,6,4,7,3]=>[1,7,5,3,6,2,8,4]=>{{1},{2,3,4,5,6,7,8}}=>0
[1,4,7,5,6,8,3,2]=>[1,8,4,5,7,6,2,3]=>{{1},{2,3,4,5,7,8},{6}}=>2
[8,1,2,6,4,5,7,3]=>[6,1,2,7,3,4,8,5]=>{{1,2,3,4,5,6,7,8}}=>0
[1,7,3,4,5,8,2,6]=>[1,3,4,5,8,7,6,2]=>{{1},{2,3,4,5,8},{6,7}}=>1
[6,7,3,2,5,8,1,4]=>[5,3,7,1,8,6,4,2]=>{{1,2,3,4,5,7,8},{6}}=>2
[6,1,8,4,5,3,7,2]=>[5,1,4,6,7,2,8,3]=>{{1,2,3,4,5,6,7,8}}=>0
[4,6,2,5,1,8,7,3]=>[7,4,1,5,3,6,8,2]=>{{1,2,3,4,5,7,8},{6}}=>2
[8,5,1,2,6,3,7,4]=>[5,7,2,3,6,4,8,1]=>{{1,2,3,4,5,6,7,8}}=>0
[2,7,6,8,5,1,4,3]=>[6,2,7,5,8,4,1,3]=>{{1,3,4,5,6,7,8},{2}}=>6
[8,5,3,2,4,1,7,6]=>[3,5,7,1,2,4,8,6]=>{{1,3,4,6,7,8},{2,5}}=>3
[8,5,1,4,6,3,2,7]=>[4,5,2,8,6,1,3,7]=>{{1,2,3,4,5,6,7,8}}=>0
[8,5,1,6,3,4,2,7]=>[5,8,2,6,3,1,4,7]=>{{1,2,3,4,5,6,7,8}}=>0
[8,4,3,6,1,5,2,7]=>[3,4,8,6,2,1,5,7]=>{{1,2,3,4,5,6,7,8}}=>0
[8,5,4,2,1,3,7,6]=>[4,5,7,2,3,1,8,6]=>{{1,2,3,4,5,6,7,8}}=>0
[8,2,4,6,3,7,1,5]=>[2,4,8,6,1,7,5,3]=>{{1,2,4,5,6,7},{3,8}}=>0
[8,3,7,2,1,4,6,5]=>[3,8,7,1,4,5,2,6]=>{{1,2,3,4,5,6,7,8}}=>0
[7,6,4,1,3,2,8,5]=>[4,6,8,3,1,5,7,2]=>{{1,2,3,4,5,6,8},{7}}=>1
[6,2,5,7,4,3,8,1]=>[2,6,8,5,1,3,7,4]=>{{1,2,3,4,5,6,8},{7}}=>1
[4,2,7,6,8,5,1,3]=>[2,8,4,7,6,1,5,3]=>{{1,2,3,4,5,6,7,8}}=>0
[7,1,6,3,8,5,2,4]=>[7,1,8,2,6,3,5,4]=>{{1,2,3,4,5,6,7,8}}=>0
[7,1,8,2,5,6,4,3]=>[6,1,5,3,7,8,2,4]=>{{1,2,3,4,5,6,7,8}}=>0
[4,2,6,3,1,8,7,5]=>[2,7,4,1,3,6,8,5]=>{{1,2,3,4,5,7,8},{6}}=>2
[6,1,4,2,5,8,7,3]=>[4,1,5,3,7,6,8,2]=>{{1,2,3,4,5,7,8},{6}}=>2
[1,5,3,8,4,6,2,7]=>[1,3,6,5,2,8,4,7]=>{{1},{2,3,4,5,6,7,8}}=>0
[7,6,4,2,8,5,1,3]=>[4,7,8,2,6,1,5,3]=>{{1,2,4,5,6,7},{3,8}}=>0
[8,7,4,2,1,5,6,3]=>[4,7,8,2,3,1,5,6]=>{{1,2,3,4,5,6,7,8}}=>0
[8,7,4,1,3,2,6,5]=>[4,7,8,3,1,5,2,6]=>{{1,3,4,5,6,8},{2,7}}=>1
[7,1,4,8,3,6,2,5]=>[6,1,7,4,2,8,5,3]=>{{1,2,3,5,6,7,8},{4}}=>4
[4,1,8,5,7,6,2,3]=>[7,1,4,5,6,8,3,2]=>{{1,2,3,4,5,6,7,8}}=>0
[4,2,6,8,3,7,1,5]=>[2,8,6,4,1,7,5,3]=>{{1,2,3,5,6,7,8},{4}}=>4
[3,8,1,7,2,6,5,4]=>[6,3,2,7,4,8,1,5]=>{{1,4,5,6,7,8},{2,3}}=>5
[7,3,8,1,2,6,5,4]=>[6,7,3,2,4,8,1,5]=>{{1,2,4,5,6,7,8},{3}}=>5
[8,1,4,2,3,5,7,6]=>[4,1,7,3,2,5,8,6]=>{{1,2,3,4,5,6,7,8}}=>0
[5,1,8,3,7,4,6,2]=>[8,1,5,2,7,3,4,6]=>{{1,2,3,4,5,6,7,8}}=>0
[7,2,5,3,4,6,1,8]=>[2,5,6,1,3,7,4,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[7,6,4,2,5,3,1,8]=>[4,5,6,2,7,1,3,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[1,7,2,6,3,4,8,5]=>[1,6,2,8,4,5,7,3]=>{{1},{2,3,4,5,6,8},{7}}=>1
[7,3,1,4,6,2,5,8]=>[3,4,2,6,7,5,1,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[5,8,4,3,1,7,2,6]=>[5,4,7,1,3,8,6,2]=>{{1,2,3,4,5,6,7,8}}=>0
[5,7,8,4,3,2,6,1]=>[7,5,4,8,1,2,3,6]=>{{1,2,3,4,5,6,7,8}}=>0
[1,3,6,8,7,2,5,4]=>[1,8,3,6,7,5,2,4]=>{{1},{2,4,5,6,7,8},{3}}=>5
[1,7,6,5,3,2,4,8]=>[1,5,6,7,3,4,2,8]=>{{1},{2,3,4,5,6,7},{8}}=>0
[6,8,7,1,5,4,3,2]=>[7,5,6,3,8,1,2,4]=>{{1,2,3,4,5,6,7,8}}=>0
[4,7,3,6,8,2,1,5]=>[4,3,8,7,6,2,5,1]=>{{1,2,3,4,5,6,7,8}}=>0
[5,4,8,3,6,2,1,7]=>[5,8,4,1,6,2,3,7]=>{{1,2,3,4,5,6,7,8}}=>0
[5,8,4,2,7,3,6,1]=>[5,4,8,2,7,1,3,6]=>{{1,3,5,6,7,8},{2,4}}=>4
[8,5,1,2,4,6,7,3]=>[5,6,2,3,1,7,8,4]=>{{1,5},{2,3,4,6,7,8}}=>0
[8,3,1,2,4,6,7,5]=>[3,6,2,1,4,7,8,5]=>{{1,2,3,4,5,6,7,8}}=>0
[8,1,3,2,4,6,5,7]=>[3,1,6,2,4,8,5,7]=>{{1,2,3,4,5,6,7,8}}=>0
[4,2,7,5,3,8,6,1]=>[2,8,4,5,1,7,3,6]=>{{1,2,3,4,5,6,7,8}}=>0
[4,5,8,1,3,7,2,6]=>[7,5,4,3,1,8,6,2]=>{{1,2,5,6,7,8},{3,4}}=>4
[7,4,3,8,5,6,2,1]=>[3,5,6,4,7,8,1,2]=>{{1,2,3,5,6,7,8},{4}}=>4
[4,2,8,5,6,3,1,7]=>[2,8,4,5,6,1,3,7]=>{{1,2,3,4,5,6,7,8}}=>0
[4,2,5,3,8,7,1,6]=>[2,7,4,1,5,8,6,3]=>{{1,2,3,4,6,7,8},{5}}=>3
[5,3,4,7,1,6,2,8]=>[3,6,5,4,2,7,1,8]=>{{1,2,3,5,6,7},{4},{8}}=>3
[2,3,7,4,1,8,6,5]=>[4,2,3,8,1,7,5,6]=>{{1,4,5,6,7,8},{2},{3}}=>10
[4,1,3,7,8,2,6,5]=>[3,1,8,4,7,5,2,6]=>{{1,2,3,5,6,7,8},{4}}=>4
[1,4,5,3,8,6,7,2]=>[1,6,4,2,5,7,8,3]=>{{1},{2,3,4,6,7,8},{5}}=>3
[6,5,2,4,8,7,1,3]=>[4,6,1,8,5,7,3,2]=>{{1,2,3,4,6,7,8},{5}}=>3
[6,2,1,5,8,3,4,7]=>[2,6,1,8,5,4,3,7]=>{{1,2,3,4,6,7,8},{5}}=>3
[4,3,8,1,5,2,6,7]=>[4,5,3,2,8,1,6,7]=>{{1,2,4,5,6,7,8},{3}}=>5
[6,1,3,2,4,5,8,7]=>[3,1,6,2,4,5,8,7]=>{{1,2,3,4,5,6},{7,8}}=>0
[5,7,3,4,2,6,8,1]=>[4,3,5,6,1,8,7,2]=>{{1,2,3,4,5,6,8},{7}}=>1
[5,4,7,3,2,8,1,6]=>[5,8,4,1,2,7,6,3]=>{{1,2,3,4,5,8},{6,7}}=>1
[6,4,3,8,5,1,2,7]=>[3,5,6,4,8,2,1,7]=>{{1,2,3,5,6,7,8},{4}}=>4
[6,4,8,2,3,5,1,7]=>[6,8,4,2,1,3,5,7]=>{{1,2,3,4,5,6,7,8}}=>0
[5,6,8,4,1,2,3,7]=>[6,5,4,8,3,2,1,7]=>{{1,2,3,4,5,6,7,8}}=>0
[7,4,8,3,1,2,5,6]=>[7,8,4,1,3,5,6,2]=>{{1,3,4,5,6,7},{2,8}}=>0
[5,8,6,3,1,2,4,7]=>[8,5,6,1,4,3,2,7]=>{{1,2,4,5,7,8},{3,6}}=>2
[4,6,3,2,8,5,7,1]=>[4,3,7,1,6,2,8,5]=>{{1,4},{2,3,5,6,7,8}}=>0
[7,4,3,2,5,1,8,6]=>[3,4,5,1,8,2,7,6]=>{{1,2,3,4,5,6,8},{7}}=>1
[5,4,8,3,7,2,1,6]=>[5,8,4,1,7,2,6,3]=>{{1,2,3,4,5,6,7,8}}=>0
[5,4,8,3,2,7,1,6]=>[5,7,4,1,2,8,6,3]=>{{1,2,3,4,5,6,7,8}}=>0
[5,4,3,7,2,1,6,8]=>[3,5,7,4,1,2,6,8]=>{{1,2,3,5,6,7},{4},{8}}=>3
[4,1,8,6,2,5,7,3]=>[7,1,4,6,3,2,8,5]=>{{1,2,3,4,5,6,7,8}}=>0
[6,8,5,7,3,4,2,1]=>[7,5,8,6,2,1,3,4]=>{{1,3,4,6,7,8},{2,5}}=>3
[5,3,6,8,4,2,1,7]=>[6,8,3,5,1,2,4,7]=>{{1,2,4,5,6,7,8},{3}}=>5
[1,3,5,8,4,7,2,6]=>[1,7,3,5,2,8,6,4]=>{{1},{2,4,5,6,7,8},{3}}=>5
[5,8,7,2,4,1,3,6]=>[8,5,7,2,1,4,6,3]=>{{1,2,3,4,5,6,7,8}}=>0
[6,3,8,5,1,7,4,2]=>[5,6,3,8,4,7,1,2]=>{{1,2,4,5,6,7,8},{3}}=>5
[6,4,8,7,3,5,2,1]=>[7,8,4,6,1,2,3,5]=>{{1,2,3,4,5,6,7,8}}=>0
[8,2,3,4,6,1,7,5]=>[2,3,4,6,7,5,8,1]=>{{1,2,3,4,5,6,7,8}}=>0
[3,8,2,7,6,4,1,5]=>[6,3,1,7,8,4,5,2]=>{{1,2,3,4,5,6,7,8}}=>0
[8,2,1,4,6,3,7,5]=>[2,4,1,6,7,5,8,3]=>{{1,2,3,4,5,6,7,8}}=>0
[3,1,6,8,2,7,5,4]=>[8,1,3,6,4,7,2,5]=>{{1,2,4,5,6,7,8},{3}}=>5
[6,5,8,3,7,4,2,1]=>[7,8,5,1,6,2,3,4]=>{{1,2,3,4,5,6,7,8}}=>0
[8,2,5,1,6,3,7,4]=>[2,5,7,3,6,4,8,1]=>{{1,2,3,4,5,6,7,8}}=>0
[7,8,1,3,2,5,6,4]=>[8,7,2,1,4,3,5,6]=>{{1,2,3,4,5,6,7,8}}=>0
[1,3,7,8,5,2,4,6]=>[1,7,3,5,8,4,6,2]=>{{1},{2,4,5,6,7,8},{3}}=>5
[1,7,8,3,5,2,6,4]=>[1,7,5,2,8,4,3,6]=>{{1},{2,3,4,5,6,7,8}}=>0
[1,7,3,2,4,5,6,8]=>[1,3,7,2,4,5,6,8]=>{{1},{2,3,4,5,6,7},{8}}=>0
[1,7,3,2,4,5,8,6]=>[1,3,8,2,4,5,7,6]=>{{1},{2,3,4,5,6,8},{7}}=>1
[5,2,1,6,8,7,4,3]=>[2,8,1,6,5,7,3,4]=>{{1,2,3,4,6,7,8},{5}}=>3
[3,7,8,5,4,2,6,1]=>[7,5,3,8,1,2,4,6]=>{{1,2,4,5,6,7,8},{3}}=>5
[8,3,2,7,5,6,1,4]=>[3,5,1,6,7,8,4,2]=>{{1,3},{2,4,5,6,7,8}}=>0
[1,4,2,8,6,3,5,7]=>[1,6,2,4,8,5,3,7]=>{{1},{2,3,5,6,7,8},{4}}=>4
[6,1,5,2,3,4,8,7]=>[5,1,6,3,4,2,8,7]=>{{1,2,3,4,5,6},{7,8}}=>0
[6,5,2,1,8,4,7,3]=>[6,7,1,3,5,2,8,4]=>{{1,2,3,4,6,7,8},{5}}=>3
[5,6,2,4,3,8,1,7]=>[5,4,1,8,2,6,3,7]=>{{1,2,3,4,5,7,8},{6}}=>2
[3,7,5,2,8,1,4,6]=>[8,3,7,1,5,4,6,2]=>{{1,2,3,4,6,7,8},{5}}=>3
[3,7,6,1,2,5,8,4]=>[8,3,6,2,4,1,7,5]=>{{1,2,3,4,5,6,8},{7}}=>1
[1,7,2,4,5,3,6,8]=>[1,4,2,5,7,3,6,8]=>{{1},{2,3,4,5,6,7},{8}}=>0
[8,5,6,1,4,3,7,2]=>[5,7,6,3,1,2,8,4]=>{{1,5},{2,3,4,6,7,8}}=>0
[6,4,5,8,2,3,1,7]=>[5,8,6,4,2,1,3,7]=>{{1,2,3,5,6,7,8},{4}}=>4
[8,6,1,3,2,5,7,4]=>[6,7,2,1,4,3,8,5]=>{{1,2,3,4,5,6,7,8}}=>0
[4,7,3,8,5,1,6,2]=>[5,3,7,4,8,2,1,6]=>{{1,2,3,5,6,7,8},{4}}=>4
[4,8,5,3,2,6,1,7]=>[6,4,5,1,2,8,3,7]=>{{1,2,3,4,5,6,7,8}}=>0
[6,2,3,7,8,1,5,4]=>[2,3,8,7,6,5,1,4]=>{{1,2,3,4,7,8},{5,6}}=>2
[1,4,8,5,3,2,6,7]=>[1,8,4,5,2,3,6,7]=>{{1},{2,3,4,5,6,7,8}}=>0
[6,8,2,7,3,1,5,4]=>[8,6,1,7,3,5,2,4]=>{{1,2,3,4,5,6,7,8}}=>0
[8,2,6,3,4,1,7,5]=>[2,6,7,1,3,5,8,4]=>{{1,2,3,4,5,6,7,8}}=>0
[4,1,5,8,3,6,7,2]=>[6,1,5,4,2,7,8,3]=>{{1,2,3,5,6,7,8},{4}}=>4
[6,2,3,1,7,8,5,4]=>[2,3,8,1,7,6,4,5]=>{{1,2,3,4,5,7,8},{6}}=>2
[5,2,3,6,8,4,7,1]=>[2,3,7,6,5,1,8,4]=>{{1,2,3,4,6,7,8},{5}}=>3
[5,2,1,3,8,4,7,6]=>[2,7,1,3,5,4,8,6]=>{{1,2,3,4,6,7,8},{5}}=>3
[5,2,7,8,4,1,6,3]=>[2,8,7,5,1,4,3,6]=>{{1,2,4,5,6,8},{3,7}}=>1
[6,2,7,8,3,5,4,1]=>[2,8,7,6,3,1,4,5]=>{{1,2,3,4,5,6,7,8}}=>0
[5,1,2,8,4,3,7,6]=>[7,1,2,5,3,4,8,6]=>{{1,2,3,4,5,6,7,8}}=>0
[6,7,8,3,2,5,4,1]=>[8,7,6,1,3,2,4,5]=>{{1,2,3,4,5,6,7,8}}=>0
[6,2,3,4,7,8,5,1]=>[2,3,4,8,7,6,1,5]=>{{1,2,3,4,5,7,8},{6}}=>2
[7,2,1,8,4,3,5,6]=>[2,8,1,7,3,5,6,4]=>{{1,2,3,4,5,6,7,8}}=>0
[6,2,1,3,7,5,8,4]=>[2,8,1,3,6,4,7,5]=>{{1,2,3,4,5,6,8},{7}}=>1
[7,4,3,2,5,8,1,6]=>[3,4,5,1,8,7,6,2]=>{{1,2,3,4,5,8},{6,7}}=>1
[2,8,3,6,1,7,4,5]=>[3,2,6,8,4,7,5,1]=>{{1,3,4,5,6,7,8},{2}}=>6
[4,3,1,8,5,2,6,7]=>[3,5,2,4,8,1,6,7]=>{{1,2,3,5,6,7,8},{4}}=>4
[7,5,2,3,8,4,6,1]=>[7,8,1,2,5,3,4,6]=>{{1,2,3,4,6,7,8},{5}}=>3
[2,7,4,8,5,3,1,6]=>[5,2,7,4,8,1,6,3]=>{{1,3,5,6,7,8},{2},{4}}=>9
[1,8,5,3,7,4,2,6]=>[1,5,8,2,7,3,6,4]=>{{1},{2,3,4,5,6,7,8}}=>0
[7,6,4,8,5,3,2,1]=>[5,6,7,4,8,1,2,3]=>{{1,2,3,5,6,7,8},{4}}=>4
[7,6,5,3,8,4,2,1]=>[6,7,8,1,5,2,3,4]=>{{1,2,3,4,6,7,8},{5}}=>3
[1,5,7,2,4,3,6,8]=>[1,7,5,3,2,4,6,8]=>{{1},{2,3,4,5,6,7},{8}}=>0
[1,7,4,2,3,5,8,6]=>[1,4,8,3,2,5,7,6]=>{{1},{2,3,4,5,6,8},{7}}=>1
[1,8,5,2,3,6,4,7]=>[1,5,6,3,4,8,2,7]=>{{1},{2,3,4,5,6,7,8}}=>0
[1,3,5,8,7,6,2,4]=>[1,7,3,5,6,8,4,2]=>{{1},{2,4,5,6,7,8},{3}}=>5
[1,4,2,6,8,7,5,3]=>[1,8,2,4,6,7,3,5]=>{{1},{2,3,5,6,7,8},{4}}=>4
[1,8,5,2,6,3,4,7]=>[1,5,8,3,6,4,2,7]=>{{1},{2,3,4,5,6,7,8}}=>0
[1,6,3,2,8,5,4,7]=>[1,3,8,2,6,4,5,7]=>{{1},{2,3,4,5,6,7,8}}=>0
[1,5,7,4,2,3,8,6]=>[1,5,4,8,3,2,7,6]=>{{1},{2,3,4,5,6,8},{7}}=>1
[2,7,3,6,8,5,4,1]=>[3,2,7,8,6,1,4,5]=>{{1,3,4,5,6,7,8},{2}}=>6
[8,6,1,4,7,5,2,3]=>[4,6,2,8,7,1,5,3]=>{{1,2,3,4,6,8},{5,7}}=>1
[6,1,7,5,4,2,8,3]=>[6,1,5,8,2,4,7,3]=>{{1,2,3,4,5,6,8},{7}}=>1
[5,7,6,2,4,8,1,3]=>[8,5,7,2,1,6,4,3]=>{{1,2,3,4,5,7,8},{6}}=>2
[8,7,1,4,6,5,3,2]=>[4,6,2,7,8,1,3,5]=>{{1,2,3,4,6,7},{5,8}}=>0
[3,5,8,6,7,1,4,2]=>[8,5,3,7,6,4,1,2]=>{{1,2,4,5,6,7,8},{3}}=>5
[1,5,8,7,4,2,6,3]=>[1,8,5,7,2,4,3,6]=>{{1},{2,3,4,5,6,7,8}}=>0
[4,3,7,6,8,2,1,5]=>[4,8,3,7,6,2,5,1]=>{{1,2,4,5,6,7,8},{3}}=>5
[6,1,8,5,2,7,3,4]=>[6,1,5,8,4,7,3,2]=>{{1,2,3,4,5,6,7,8}}=>0
[8,7,1,6,4,5,2,3]=>[6,7,2,8,1,3,5,4]=>{{1,2,3,5,6,7},{4,8}}=>0
[8,3,4,7,6,2,1,5]=>[3,7,4,6,8,2,5,1]=>{{1,2,3,4,5,6,7,8}}=>0
[6,5,8,7,2,4,3,1]=>[7,8,5,6,3,1,2,4]=>{{1,2,4,6,7,8},{3,5}}=>3
[3,2,8,5,6,7,1,4]=>[2,5,3,8,6,7,4,1]=>{{1,2,4,5,6,7,8},{3}}=>5
[8,3,2,1,4,7,5,6]=>[3,7,1,2,4,8,6,5]=>{{1,3},{2,4,5,6,7,8}}=>0
[4,7,3,1,8,5,2,6]=>[4,3,8,2,7,1,6,5]=>{{1,2,3,4,5,6,7,8}}=>0
[3,7,8,2,5,6,1,4]=>[6,5,3,1,7,8,4,2]=>{{1,2,4,5,6,7,8},{3}}=>5
[1,5,3,4,7,8,6,2]=>[1,3,4,8,5,7,2,6]=>{{1},{2,3,4,6,7,8},{5}}=>3
[8,5,1,6,7,2,3,4]=>[5,8,2,7,6,4,3,1]=>{{1,2,3,4,5,6,7,8}}=>0
[7,1,2,6,4,5,8,3]=>[6,1,2,8,3,4,7,5]=>{{1,2,3,4,5,6,8},{7}}=>1
[1,7,3,6,4,5,8,2]=>[1,3,6,8,2,4,7,5]=>{{1},{2,3,4,5,6,8},{7}}=>1
[1,8,3,6,4,5,7,2]=>[1,3,6,7,2,4,8,5]=>{{1},{2,3,4,5,6,7,8}}=>0
[7,3,1,2,6,4,5,8]=>[3,6,2,1,7,5,4,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[1,7,3,8,4,5,6,2]=>[1,3,8,7,2,4,5,6]=>{{1},{2,3,4,5,6,7,8}}=>0
[7,1,8,2,5,3,4,6]=>[7,1,5,3,8,4,6,2]=>{{1,2,3,4,5,6,7,8}}=>0
[3,6,8,5,4,1,7,2]=>[6,5,3,7,1,4,8,2]=>{{1,2,4,5,6,7,8},{3}}=>5
[1,8,3,4,5,6,7,9,2]=>[1,3,4,5,6,7,9,8,2]=>{{1},{2,3,4,5,6,7,9},{8}}=>1
[8,6,5,1,2,4,3,7]=>[5,6,8,3,4,1,2,7]=>{{1,2,3,4,5,6,7,8}}=>0
[6,5,1,4,8,3,2,7]=>[4,6,2,8,5,1,3,7]=>{{1,2,3,4,6,7,8},{5}}=>3
[8,7,1,4,3,2,5,6]=>[4,7,2,8,1,5,6,3]=>{{1,2,3,4,5,6,7,8}}=>0
[8,7,5,1,4,2,3,6]=>[5,7,8,3,1,4,6,2]=>{{1,5},{2,3,4,6,7,8}}=>0
[8,7,6,3,1,5,4,2]=>[6,7,8,1,4,2,3,5]=>{{1,2,3,4,5,6,7,8}}=>0
[4,2,5,7,3,1,6,8]=>[2,7,5,4,1,3,6,8]=>{{1,2,3,5,6,7},{4},{8}}=>3
[1,7,3,2,5,6,4,8]=>[1,3,5,2,6,7,4,8]=>{{1},{2,3,4,5,6,7},{8}}=>0
[1,7,8,2,4,6,5,3]=>[1,7,6,3,2,8,4,5]=>{{1},{2,3,4,5,6,7,8}}=>0
[1,5,8,3,6,2,7,4]=>[1,7,5,2,6,4,8,3]=>{{1},{2,3,4,5,6,7,8}}=>0
[4,8,7,6,2,1,5,3]=>[8,4,6,7,2,5,1,3]=>{{1,2,3,4,5,6,7,8}}=>0
[4,2,8,5,3,6,1,7]=>[2,6,4,5,1,8,3,7]=>{{1,2,3,4,5,6,7,8}}=>0
[2,1,7,8,4,5,6,3]=>[2,1,8,7,3,4,5,6]=>{{1,2},{3,4,5,6,7,8}}=>0
[8,2,1,4,3,7,6,5]=>[2,4,1,7,3,8,5,6]=>{{1,2,3,4,5,7},{6,8}}=>0
[3,1,8,6,7,2,4,5]=>[6,1,3,8,7,5,4,2]=>{{1,2,4,5,6,7,8},{3}}=>5
[4,2,8,5,3,6,7,1]=>[2,6,4,5,1,7,8,3]=>{{1,2,3,4,5,6,7,8}}=>0
[3,5,2,8,6,4,7,1]=>[7,3,1,5,6,2,8,4]=>{{1,2,3,4,5,6,7,8}}=>0
[2,8,4,6,1,3,7,5]=>[4,2,7,6,3,5,8,1]=>{{1,3,4,5,6,7,8},{2}}=>6
[8,3,7,6,2,1,5,4]=>[3,7,6,8,2,5,1,4]=>{{1,2,3,5,6,7},{4,8}}=>0
[8,5,2,7,6,1,4,3]=>[5,8,1,6,7,4,2,3]=>{{1,2,3,5,7,8},{4,6}}=>2
[3,4,8,5,6,2,7,1]=>[7,4,3,5,6,1,8,2]=>{{1,2,4,5,6,7,8},{3}}=>5
[7,8,3,5,2,4,6,1]=>[5,3,7,8,2,1,4,6]=>{{1,2,3,4,5,6,7,8}}=>0
[7,1,8,5,3,4,6,2]=>[7,1,5,8,3,2,4,6]=>{{1,2,4,6,7,8},{3,5}}=>3
[7,6,2,1,8,3,5,4]=>[7,8,1,3,6,5,2,4]=>{{1,2,3,4,7,8},{5,6}}=>2
[7,5,4,2,1,8,6,3]=>[4,5,8,2,3,7,1,6]=>{{1,2,3,4,5,6,7,8}}=>0
[7,8,2,6,4,5,3,1]=>[7,6,1,8,2,3,4,5]=>{{1,2,3,4,5,6,7,8}}=>0
[7,1,2,4,5,6,3,8]=>[4,1,2,5,6,7,3,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[3,6,2,1,7,5,4,8]=>[7,3,1,2,6,4,5,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[7,6,8,5,4,1,3,2]=>[6,7,5,8,1,4,2,3]=>{{1,3,4,5,6,8},{2,7}}=>1
[7,8,6,3,1,5,4,2]=>[7,6,8,1,4,2,3,5]=>{{1,3,4,5,7,8},{2,6}}=>2
[5,1,2,8,4,6,7,3]=>[6,1,2,5,3,7,8,4]=>{{1,2,3,4,5,6,7,8}}=>0
[8,2,6,3,1,5,7,4]=>[2,6,7,1,4,3,8,5]=>{{1,2,3,4,5,6,7,8}}=>0
[7,1,2,3,6,8,4,5]=>[7,1,2,3,8,6,5,4]=>{{1,2,3,4,5,7,8},{6}}=>2
[6,1,2,3,8,4,7,5]=>[7,1,2,3,6,5,8,4]=>{{1,2,3,4,7,8},{5,6}}=>2
[8,6,4,7,2,3,5,1]=>[4,7,8,6,2,3,1,5]=>{{1,2,3,4,5,6,7,8}}=>0
[8,6,1,4,2,5,7,3]=>[4,6,2,7,3,1,8,5]=>{{1,2,3,4,5,6,7,8}}=>0
[8,6,4,2,5,3,7,1]=>[4,5,6,2,7,1,8,3]=>{{1,2,3,4,5,6,7,8}}=>0
[8,6,4,2,7,3,1,5]=>[4,6,8,2,7,3,5,1]=>{{1,2,3,4,6,8},{5,7}}=>1
[8,6,4,1,5,7,2,3]=>[4,5,6,3,8,7,2,1]=>{{1,2,3,4,5,6,7,8}}=>0
[8,6,4,2,1,7,3,5]=>[4,6,8,2,3,7,5,1]=>{{1,2,3,4,5,6,7,8}}=>0
[8,6,4,1,5,2,3,7]=>[4,5,6,3,8,2,1,7]=>{{1,2,3,4,5,6,7,8}}=>0
[8,6,7,4,2,1,5,3]=>[4,7,6,8,2,5,1,3]=>{{1,2,3,4,5,6,7,8}}=>0
[8,6,4,7,2,1,5,3]=>[4,7,8,6,2,5,1,3]=>{{1,2,4,5,6,7},{3,8}}=>0
[8,6,4,2,5,1,7,3]=>[4,5,6,2,7,3,8,1]=>{{1,2,4,5,7,8},{3,6}}=>2
[8,7,1,4,6,5,2,3]=>[4,6,2,7,8,1,5,3]=>{{1,2,3,4,5,6,7,8}}=>0
[8,3,7,6,4,5,1,2]=>[3,7,6,8,1,2,5,4]=>{{1,2,3,5,6,7},{4,8}}=>0
[7,4,5,1,2,8,6,3]=>[4,8,5,3,2,7,1,6]=>{{1,2,3,4,5,6,7,8}}=>0
[3,8,2,5,1,7,4,6]=>[5,3,1,7,4,8,6,2]=>{{1,2,3,4,5,6,7,8}}=>0
[6,8,7,5,2,4,1,3]=>[7,5,6,8,3,1,4,2]=>{{1,2,3,4,5,6,7,8}}=>0
[5,7,6,8,4,1,3,2]=>[8,6,7,5,1,4,2,3]=>{{1,2,3,4,5,6,7,8}}=>0
[7,3,1,6,8,5,4,2]=>[3,7,2,8,6,1,4,5]=>{{1,2,3,4,5,6,7,8}}=>0
[5,3,1,7,4,8,6,2]=>[3,8,2,5,1,7,4,6]=>{{1,2,3,4,5,6,7,8}}=>0
[4,6,8,3,7,1,2,5]=>[8,6,4,1,7,5,3,2]=>{{1,2,3,4,5,6,7,8}}=>0
[3,5,2,8,4,7,1,6]=>[7,3,1,5,2,8,6,4]=>{{1,2,3,4,5,6,7,8}}=>0
[8,3,1,2,6,4,7,5]=>[3,6,2,1,7,5,8,4]=>{{1,2,3,4,5,6,7,8}}=>0
[1,7,8,2,4,3,5,6]=>[1,8,7,3,2,5,6,4]=>{{1},{2,3,4,5,6,7,8}}=>0
[8,5,4,2,6,1,7,3]=>[4,5,7,2,6,3,8,1]=>{{1,2,3,4,5,6,7,8}}=>0
[2,3,7,5,1,8,6,4]=>[5,2,3,8,4,7,1,6]=>{{1,4,5,6,7,8},{2},{3}}=>10
[7,2,1,5,3,8,4,6]=>[2,5,1,8,4,7,6,3]=>{{1,2,3,4,5,8},{6,7}}=>1
[1,5,8,2,4,3,6,7]=>[1,8,5,3,2,4,6,7]=>{{1},{2,3,4,5,6,7,8}}=>0
[6,2,8,3,1,4,7,5]=>[2,7,6,1,4,5,8,3]=>{{1,2,3,4,5,6,7,8}}=>0
[1,6,3,7,2,5,4,8]=>[1,3,7,6,4,2,5,8]=>{{1},{2,3,4,5,6,7},{8}}=>0
[1,7,2,4,6,3,5,8]=>[1,4,2,6,7,5,3,8]=>{{1},{2,3,4,5,6,7},{8}}=>0
[2,4,8,3,1,6,7,5]=>[6,2,4,1,3,7,8,5]=>{{1,3,4,5,6,7,8},{2}}=>6
[1,4,2,6,8,5,3,7]=>[1,8,2,4,6,3,5,7]=>{{1},{2,3,5,6,7,8},{4}}=>4
[1,2,6,8,3,5,4,7]=>[1,2,8,6,4,3,5,7]=>{{1},{2},{3,4,5,6,7,8}}=>0
[1,6,8,3,5,4,2,7]=>[1,6,5,2,8,3,4,7]=>{{1},{2,3,4,5,6,7,8}}=>0
[1,8,4,7,5,2,6,3]=>[1,4,7,5,8,3,2,6]=>{{1},{2,3,4,5,6,7,8}}=>0
[1,7,5,2,6,3,4,8]=>[1,5,7,3,6,4,2,8]=>{{1},{2,3,4,5,6,7},{8}}=>0
[1,6,3,2,7,5,4,8]=>[1,3,7,2,6,4,5,8]=>{{1},{2,3,4,5,6,7},{8}}=>0
[1,4,6,3,2,8,7,5]=>[1,7,4,2,3,6,8,5]=>{{1},{2,3,4,5,7,8},{6}}=>2
[1,6,3,5,2,8,7,4]=>[1,3,5,7,4,6,8,2]=>{{1},{2,3,4,5,7,8},{6}}=>2
[6,5,7,1,4,3,8,2]=>[6,8,5,3,1,2,7,4]=>{{1,2,3,4,5,6,8},{7}}=>1
[5,7,6,1,2,4,8,3]=>[8,5,6,3,4,1,7,2]=>{{1,2,3,4,5,6,8},{7}}=>1
[4,8,3,5,7,6,2,1]=>[4,3,7,5,6,8,1,2]=>{{1,2,3,4,5,6,7,8}}=>0
[7,3,1,4,2,6,5,8]=>[3,4,2,6,1,7,5,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[5,4,1,8,2,6,3,7]=>[5,6,2,4,3,8,1,7]=>{{1,2,3,5,6,7,8},{4}}=>4
[1,8,7,4,5,2,3,6]=>[1,4,5,7,8,3,6,2]=>{{1},{2,3,4,5,6,7,8}}=>0
[1,3,7,8,4,5,6,2]=>[1,8,3,7,2,4,5,6]=>{{1},{2,4,5,6,7,8},{3}}=>5
[8,4,2,3,1,6,5,7]=>[4,6,1,2,3,8,5,7]=>{{1,2,3,4,5,6,7,8}}=>0
[2,8,6,4,5,1,7,3]=>[4,2,5,6,7,3,8,1]=>{{1,3,4,5,6,7,8},{2}}=>6
[1,4,3,7,2,8,6,5]=>[1,3,8,4,2,7,5,6]=>{{1},{2,3,5,6,7,8},{4}}=>4
[2,8,3,1,4,5,7,6]=>[3,2,7,1,4,5,8,6]=>{{1,3,4,5,6,7,8},{2}}=>6
[6,1,7,2,8,4,5,3]=>[8,1,7,3,6,4,2,5]=>{{1,2,3,4,5,6,7,8}}=>0
[8,3,2,1,5,6,7,4]=>[3,5,1,2,6,7,8,4]=>{{1,3},{2,4,5,6,7,8}}=>0
[7,2,8,1,4,5,6,3]=>[2,8,7,3,1,4,5,6]=>{{1,2,3,4,5,6,7,8}}=>0
[8,1,4,6,5,3,2,7]=>[4,1,6,5,8,2,3,7]=>{{1,2,3,4,5,6,7,8}}=>0
[6,7,8,4,1,5,2,3]=>[7,6,4,8,3,1,5,2]=>{{1,2,3,4,5,6,7,8}}=>0
[6,2,7,4,5,3,1,8]=>[2,5,4,6,7,1,3,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[6,8,7,5,4,1,2,3]=>[7,5,6,8,1,4,3,2]=>{{1,2,3,4,5,6,7,8}}=>0
[6,1,8,7,4,5,2,3]=>[8,1,6,7,2,3,5,4]=>{{1,2,4,5,7,8},{3,6}}=>2
[1,3,8,2,5,4,6,7]=>[1,5,3,2,8,4,6,7]=>{{1},{2,4,5,6,7,8},{3}}=>5
[1,6,8,7,2,3,5,4]=>[1,8,6,7,4,5,2,3]=>{{1},{2,3,4,5,6,7,8}}=>0
[1,5,2,4,8,3,6,7]=>[1,4,2,8,5,3,6,7]=>{{1},{2,3,4,6,7,8},{5}}=>3
[1,2,8,3,5,4,7,6]=>[1,2,5,3,7,4,8,6]=>{{1},{2},{3,4,5,6,7,8}}=>0
[1,3,8,2,5,4,7,6]=>[1,5,3,2,7,4,8,6]=>{{1},{2,4,5,6,7,8},{3}}=>5
[1,7,4,2,5,8,3,6]=>[1,4,5,3,8,7,6,2]=>{{1},{2,3,4,5,8},{6,7}}=>1
[1,7,8,5,4,2,3,6]=>[1,7,5,8,2,4,6,3]=>{{1},{2,3,4,5,6,7,8}}=>0
[1,8,4,2,3,6,5,7]=>[1,4,6,3,2,8,5,7]=>{{1},{2,3,4,5,6,7,8}}=>0
[8,5,7,2,3,6,4,1]=>[5,7,6,2,3,8,1,4]=>{{1,2,3,4,5,6,7,8}}=>0
[7,6,3,2,1,8,4,5]=>[3,7,8,1,4,6,5,2]=>{{1,2,3,4,5,7,8},{6}}=>2
[3,8,7,1,2,4,5,6]=>[8,3,7,2,4,5,6,1]=>{{1,8},{2,3,4,5,6,7}}=>1
[7,1,3,6,4,5,8,2]=>[3,1,6,8,2,4,7,5]=>{{1,2,3,4,5,6,8},{7}}=>1
[7,1,5,3,6,4,8,2]=>[5,1,8,2,6,3,7,4]=>{{1,2,3,4,5,6,8},{7}}=>1
[5,8,4,7,3,6,2,1]=>[6,4,7,5,1,8,2,3]=>{{1,2,3,4,5,6,7,8}}=>0
[1,2,8,4,5,7,3,6]=>[1,2,4,5,7,8,6,3]=>{{1},{2},{3,4,5,6,7,8}}=>0
[5,6,3,8,7,2,1,4]=>[7,3,8,5,6,2,4,1]=>{{1,2,3,4,5,6,7,8}}=>0
[1,8,6,3,2,5,4,7]=>[1,6,8,2,4,3,5,7]=>{{1},{2,3,4,5,6,7,8}}=>0
[8,1,2,4,7,5,6,3]=>[4,1,2,7,8,3,5,6]=>{{1,2,3,4,5,6,7,8}}=>0
[7,5,3,4,8,6,2,1]=>[3,4,6,7,5,8,1,2]=>{{1,2,3,4,6,7,8},{5}}=>3
[2,8,3,1,4,6,7,5]=>[3,2,6,1,4,7,8,5]=>{{1,3,4,5,6,7,8},{2}}=>6
[1,8,7,2,6,3,5,4]=>[1,6,7,3,8,5,2,4]=>{{1},{2,3,4,5,6,7,8}}=>0
[8,4,2,7,6,5,3,1]=>[4,7,1,6,8,2,3,5]=>{{1,2,3,4,6,7},{5,8}}=>0
[6,8,7,5,2,4,3,1]=>[7,5,6,8,3,1,2,4]=>{{1,2,3,5,6,7},{4,8}}=>0
[1,2,5,7,4,8,6,3]=>[1,2,8,5,3,7,4,6]=>{{1},{2},{3,4,5,6,7,8}}=>0
[6,2,1,8,7,5,3,4]=>[2,8,1,6,7,3,5,4]=>{{1,2,3,4,6,8},{5,7}}=>1
[4,6,5,3,2,8,1,7]=>[8,4,5,1,2,6,3,7]=>{{1,2,3,4,5,7,8},{6}}=>2
[2,8,3,4,1,5,6,7]=>[3,2,4,8,1,5,6,7]=>{{1,3,4,5,6,7,8},{2}}=>6
[4,5,6,3,1,8,2,7]=>[8,5,4,1,3,6,2,7]=>{{1,2,3,4,5,7,8},{6}}=>2
[8,1,4,6,7,2,5,3]=>[4,1,8,6,7,5,2,3]=>{{1,2,4,5,6,7},{3,8}}=>0
[8,2,1,6,7,4,5,3]=>[2,6,1,8,7,4,3,5]=>{{1,2,3,4,5,6,7,8}}=>0
[8,2,6,1,7,4,5,3]=>[2,6,8,3,7,4,1,5]=>{{1,2,3,4,5,6,7,8}}=>0
[8,1,2,6,4,7,5,3]=>[6,1,2,8,3,7,4,5]=>{{1,2,3,4,5,6,7,8}}=>0
[3,6,4,8,1,5,2,7]=>[8,3,6,4,2,1,5,7]=>{{1,2,3,5,6,7,8},{4}}=>4
[4,6,1,3,2,8,7,5]=>[7,4,2,1,3,6,8,5]=>{{1,2,3,4,5,7,8},{6}}=>2
[8,3,7,2,1,6,5,4]=>[3,7,6,1,4,8,2,5]=>{{1,3,4,5,6,8},{2,7}}=>1
[8,4,7,6,2,5,1,3]=>[4,8,6,7,2,1,5,3]=>{{1,2,3,4,5,6,7,8}}=>0
[3,8,7,5,6,2,1,4]=>[6,3,5,8,7,2,4,1]=>{{1,2,3,4,5,6,7,8}}=>0
[3,8,7,5,6,2,4,1]=>[6,3,5,8,7,2,1,4]=>{{1,2,3,5,6,7},{4,8}}=>0
[1,5,6,3,8,2,7,4]=>[1,7,6,2,5,4,8,3]=>{{1},{2,3,4,6,7,8},{5}}=>3
[2,6,3,8,4,7,1,5]=>[3,2,8,6,1,7,5,4]=>{{1,3,4,5,6,7,8},{2}}=>6
[1,4,5,3,8,2,7,6]=>[1,7,4,2,5,3,8,6]=>{{1},{2,3,4,6,7,8},{5}}=>3
[3,8,5,2,1,4,7,6]=>[7,3,5,1,4,2,8,6]=>{{1,2,3,4,5,6,7,8}}=>0
[3,5,4,8,2,6,7,1]=>[6,3,5,4,1,7,8,2]=>{{1,2,3,5,6,7,8},{4}}=>4
[1,2,5,8,6,7,4,3]=>[1,2,8,5,6,7,3,4]=>{{1},{2},{3,4,5,6,7,8}}=>0
[4,6,5,8,3,2,7,1]=>[7,5,6,4,1,2,8,3]=>{{1,2,3,5,6,7,8},{4}}=>4
[4,5,6,8,2,3,7,1]=>[7,6,5,4,2,1,8,3]=>{{1,2,3,5,6,7,8},{4}}=>4
[7,3,6,8,5,2,1,4]=>[3,7,6,5,8,2,4,1]=>{{1,2,3,4,5,6,7,8}}=>0
[7,8,4,6,5,3,1,2]=>[5,4,7,6,8,1,3,2]=>{{1,2,4,5,6,8},{3,7}}=>1
[2,8,7,5,1,6,3,4]=>[5,2,6,7,4,8,3,1]=>{{1,3,4,5,6,7,8},{2}}=>6
[3,8,7,5,1,2,6,4]=>[7,3,5,8,4,2,1,6]=>{{1,7},{2,3,4,5,6,8}}=>0
[5,8,3,7,1,4,6,2]=>[5,3,8,7,4,1,2,6]=>{{1,2,3,4,5,6,7,8}}=>0
[5,8,3,2,4,7,6,1]=>[5,3,7,1,2,8,4,6]=>{{1,2,3,4,5,7},{6,8}}=>0
[4,5,8,3,2,6,1,7]=>[6,5,4,1,2,8,3,7]=>{{1,3,4,6,7,8},{2,5}}=>3
[4,5,8,3,6,1,2,7]=>[8,5,4,1,6,3,2,7]=>{{1,2,3,4,5,6,7,8}}=>0
[2,7,1,3,8,5,4,6]=>[8,2,1,3,7,4,6,5]=>{{1,3,4,5,6,7,8},{2}}=>6
[2,6,7,8,4,1,3,5]=>[8,2,7,6,1,5,4,3]=>{{1,3,4,5,6,7,8},{2}}=>6
[7,1,2,6,3,8,4,5]=>[7,1,2,8,4,6,5,3]=>{{1,2,3,4,5,7,8},{6}}=>2
[8,1,2,6,5,3,7,4]=>[5,1,2,6,7,4,8,3]=>{{1,2,3,5,7,8},{4,6}}=>2
[8,5,4,6,1,2,7,3]=>[4,6,7,5,3,2,8,1]=>{{1,3,4,5,7,8},{2,6}}=>2
[6,8,7,3,1,2,4,5]=>[8,6,7,1,4,5,3,2]=>{{1,2,4,5,6,8},{3,7}}=>1
[8,2,3,1,6,7,4,5]=>[2,3,6,1,8,7,5,4]=>{{1,2,3,4,5,6,7,8}}=>0
[8,2,1,7,4,3,5,6]=>[2,7,1,8,3,5,6,4]=>{{1,2,3,5,6,7},{4,8}}=>0
[7,2,5,1,6,8,3,4]=>[2,5,8,3,7,6,4,1]=>{{1,2,3,4,5,7,8},{6}}=>2
[3,5,6,8,4,7,1,2]=>[8,6,3,5,1,7,4,2]=>{{1,2,4,5,6,7,8},{3}}=>5
[5,4,1,8,6,7,2,3]=>[5,8,2,4,6,7,3,1]=>{{1,2,3,5,6,7,8},{4}}=>4
[6,2,8,4,5,3,7,1]=>[2,5,4,6,7,1,8,3]=>{{1,2,3,4,5,6,7,8}}=>0
[4,7,3,1,8,6,2,5]=>[4,3,7,2,6,8,5,1]=>{{1,2,3,4,5,6,7,8}}=>0
[8,4,2,3,6,7,5,1]=>[4,6,1,2,8,7,3,5]=>{{1,2,3,4,6,7},{5,8}}=>0
[1,7,2,4,3,5,8,6]=>[1,4,2,8,3,5,7,6]=>{{1},{2,3,4,5,6,8},{7}}=>1
[3,8,1,7,4,2,6,5]=>[7,3,2,8,1,5,4,6]=>{{1,4,5,6,7,8},{2,3}}=>5
[8,1,7,4,3,5,6,2]=>[4,1,7,8,2,3,5,6]=>{{1,2,3,4,5,6,7,8}}=>0
[2,8,3,1,4,7,5,6]=>[3,2,7,1,4,8,6,5]=>{{1,3,4,5,6,7,8},{2}}=>6
[2,8,1,3,5,4,6,7]=>[5,2,1,3,8,4,6,7]=>{{1,3,4,5,6,7,8},{2}}=>6
[1,5,2,8,6,4,3,7]=>[1,8,2,5,6,3,4,7]=>{{1},{2,3,4,5,6,7,8}}=>0
[3,6,8,4,1,2,5,7]=>[6,4,3,8,2,5,1,7]=>{{1,2,4,5,6,7,8},{3}}=>5
[8,1,3,5,7,4,2,6]=>[3,1,5,8,7,2,6,4]=>{{1,2,3,5,6,7},{4,8}}=>0
[3,1,6,4,8,5,2,7]=>[4,1,3,8,6,2,5,7]=>{{1,2,4,5,6,7,8},{3}}=>5
[8,6,3,1,5,7,2,4]=>[3,5,6,2,8,7,4,1]=>{{1,2,3,4,5,6,7,8}}=>0
[8,5,4,1,6,7,3,2]=>[4,5,8,3,6,7,1,2]=>{{1,2,3,4,5,6,7,8}}=>0
[8,6,3,5,4,1,2,7]=>[3,5,6,8,1,4,2,7]=>{{1,2,3,4,5,6,7,8}}=>0
[8,5,1,7,4,6,2,3]=>[5,7,2,6,1,8,4,3]=>{{1,5},{2,3,4,6,7,8}}=>0
[8,5,7,6,2,1,3,4]=>[5,8,6,7,3,4,2,1]=>{{1,2,3,4,5,6,7,8}}=>0
[4,3,8,7,2,6,1,5]=>[4,7,3,6,1,8,5,2]=>{{1,2,4,5,6,7,8},{3}}=>5
[3,8,7,2,6,4,1,5]=>[7,3,6,1,8,4,5,2]=>{{1,2,3,4,5,6,7,8}}=>0
[2,8,4,7,6,1,5,3]=>[4,2,7,6,8,5,1,3]=>{{1,3,4,5,6,7,8},{2}}=>6
[2,5,4,8,1,7,3,6]=>[5,2,7,4,3,8,6,1]=>{{1,3,5,6,7,8},{2},{4}}=>9
[7,8,2,6,3,5,4,1]=>[7,6,1,8,3,2,4,5]=>{{1,3,4,5,7,8},{2,6}}=>2
[5,8,3,1,2,7,6,4]=>[5,3,7,2,4,8,1,6]=>{{1,2,3,4,5,7},{6,8}}=>0
[4,5,1,3,8,6,2,7]=>[6,4,2,1,5,8,3,7]=>{{1,2,3,4,6,7,8},{5}}=>3
[7,8,1,3,6,4,5,2]=>[7,6,2,1,8,4,3,5]=>{{1,2,3,4,6,7},{5,8}}=>0
[7,2,6,8,4,5,3,1]=>[2,7,8,6,1,3,4,5]=>{{1,2,3,4,5,6,7,8}}=>0
[7,8,3,1,6,2,5,4]=>[6,3,7,2,8,5,1,4]=>{{1,2,3,4,5,6,7,8}}=>0
[7,8,1,6,3,5,4,2]=>[7,6,2,8,3,1,4,5]=>{{1,2,3,4,5,6,7,8}}=>0
[6,7,8,2,5,4,3,1]=>[7,6,5,2,8,1,3,4]=>{{1,2,3,4,5,6,7,8}}=>0
[5,7,8,4,2,1,3,6]=>[7,5,4,8,2,3,6,1]=>{{1,3,4,6,7,8},{2,5}}=>3
[1,4,7,3,2,5,6,8]=>[1,7,4,2,3,5,6,8]=>{{1},{2,3,4,5,6,7},{8}}=>0
[7,2,1,5,6,3,8,4]=>[2,5,1,8,6,4,7,3]=>{{1,2,3,4,5,6,8},{7}}=>1
[4,3,1,8,6,2,7,5]=>[3,6,2,4,7,5,8,1]=>{{1,2,3,5,6,7,8},{4}}=>4
[7,5,1,8,3,2,6,4]=>[7,8,2,5,3,4,1,6]=>{{1,7},{2,3,4,5,6,8}}=>0
[1,4,2,8,5,3,7,6]=>[1,5,2,4,7,3,8,6]=>{{1},{2,3,5,6,7,8},{4}}=>4
[1,7,4,8,3,5,2,6]=>[1,7,8,4,2,3,6,5]=>{{1},{2,3,5,6,7,8},{4}}=>4
[7,3,2,4,8,5,1,6]=>[3,4,1,8,7,2,6,5]=>{{1,3},{2,4,5,6,7,8}}=>0
[5,7,8,1,4,2,6,3]=>[8,7,5,3,1,4,2,6]=>{{1,3,4,5,6,8},{2,7}}=>1
[2,6,3,8,1,7,5,4]=>[3,2,8,6,4,7,1,5]=>{{1,3,4,5,6,7,8},{2}}=>6
[1,2,8,7,6,4,3,5]=>[1,2,6,7,8,4,5,3]=>{{1},{2},{3,4,5,6,7,8}}=>0
[4,8,2,6,3,5,1,7]=>[8,4,1,6,2,3,5,7]=>{{1,2,3,4,5,6,7,8}}=>0
[4,1,8,5,3,6,2,7]=>[6,1,4,5,2,8,3,7]=>{{1,2,3,4,5,6,7,8}}=>0
[6,1,8,4,5,3,2,7]=>[5,1,4,6,8,2,3,7]=>{{1,2,3,4,5,6,7,8}}=>0
[4,1,8,5,3,6,7,2]=>[6,1,4,5,2,7,8,3]=>{{1,2,3,4,5,6,7,8}}=>0
[6,3,8,4,5,1,7,2]=>[4,5,3,6,7,2,8,1]=>{{1,2,4,5,6,7,8},{3}}=>5
[2,1,6,8,5,3,7,4]=>[2,1,6,5,7,4,8,3]=>{{1,2},{3,4,5,6,7,8}}=>0
[6,5,8,7,4,2,1,3]=>[7,8,5,6,1,3,4,2]=>{{1,3,4,5,6,7},{2,8}}=>0
[4,2,7,3,5,8,6,1]=>[2,5,4,1,8,7,3,6]=>{{1,2,3,4,5,6,7,8}}=>0
[3,6,2,4,8,5,7,1]=>[4,3,1,7,6,2,8,5]=>{{1,2,3,4,5,6,7,8}}=>0
[2,7,5,4,3,8,6,1]=>[4,2,5,8,1,7,3,6]=>{{1,3,4,5,6,7,8},{2}}=>6
[3,6,8,2,5,4,7,1]=>[6,5,3,1,7,2,8,4]=>{{1,2,4,5,6,7,8},{3}}=>5
[4,6,8,3,2,5,7,1]=>[7,6,4,1,2,3,8,5]=>{{1,2,3,4,5,6,7,8}}=>0
[4,6,2,8,3,5,7,1]=>[7,6,1,4,2,3,8,5]=>{{1,2,3,5,6,7,8},{4}}=>4
[4,6,3,8,7,2,5,1]=>[6,3,8,4,7,2,1,5]=>{{1,2,3,5,6,7,8},{4}}=>4
[3,5,8,2,7,4,6,1]=>[8,5,3,1,7,2,4,6]=>{{1,2,4,5,6,7,8},{3}}=>5
[4,8,2,1,7,5,6,3]=>[7,4,1,3,8,2,5,6]=>{{1,2,3,4,5,6,7,8}}=>0
[8,2,1,6,7,3,5,4]=>[2,6,1,8,7,5,3,4]=>{{1,2,3,5,6,7},{4,8}}=>0
[6,2,8,1,7,5,3,4]=>[2,8,6,3,7,1,5,4]=>{{1,2,3,4,6,8},{5,7}}=>1
[3,5,1,8,7,6,2,4]=>[7,3,2,5,6,8,4,1]=>{{1,4,5,6,7,8},{2,3}}=>5
[4,7,8,3,5,6,1,2]=>[6,5,4,1,7,8,3,2]=>{{1,2,3,4,5,6,7,8}}=>0
[4,7,3,1,6,8,2,5]=>[4,3,7,2,8,6,5,1]=>{{1,2,3,4,5,7,8},{6}}=>2
[1,7,4,6,8,3,2,5]=>[1,4,8,7,6,3,5,2]=>{{1},{2,3,4,5,6,7,8}}=>0
[6,1,5,8,3,7,2,4]=>[6,1,8,5,3,7,4,2]=>{{1,2,3,4,5,6,7,8}}=>0
[6,1,5,8,4,3,2,7]=>[6,1,8,5,2,3,4,7]=>{{1,2,3,4,5,6,7,8}}=>0
[5,8,6,3,4,1,2,7]=>[8,5,6,1,2,4,3,7]=>{{1,3,4,6,7,8},{2,5}}=>3
[6,2,3,1,8,5,4,7]=>[2,3,8,1,6,4,5,7]=>{{1,2,3,4,5,6,7,8}}=>0
[4,5,2,8,6,1,3,7]=>[8,5,1,4,6,3,2,7]=>{{1,2,3,5,6,7,8},{4}}=>4
[3,4,8,2,5,6,1,7]=>[5,4,3,1,6,8,2,7]=>{{1,2,4,5,6,7,8},{3}}=>5
[2,8,3,6,7,4,5,1]=>[3,2,6,8,7,4,1,5]=>{{1,3,4,5,6,7,8},{2}}=>6
[2,8,4,5,1,6,3,7]=>[4,2,6,5,3,8,1,7]=>{{1,3,4,5,6,7,8},{2}}=>6
[8,6,1,2,3,5,7,4]=>[6,7,2,3,4,1,8,5]=>{{1,6},{2,3,4,5,7,8}}=>0
[5,4,2,8,6,7,3,1]=>[5,8,1,4,6,7,2,3]=>{{1,2,3,5,6,7,8},{4}}=>4
[6,4,7,2,8,3,1,5]=>[7,8,4,2,6,3,5,1]=>{{1,2,3,4,5,6,7,8}}=>0
[6,3,2,7,8,4,5,1]=>[3,8,1,7,6,4,2,5]=>{{1,3},{2,4,5,6,7,8}}=>0
[4,7,3,1,5,2,8,6]=>[4,3,5,2,8,1,7,6]=>{{1,2,3,4,5,6,8},{7}}=>1
[4,7,3,6,5,2,8,1]=>[4,3,6,5,8,1,7,2]=>{{1,2,3,4,5,6,8},{7}}=>1
[4,7,6,3,1,5,8,2]=>[8,4,6,1,3,2,7,5]=>{{1,2,3,4,5,6,8},{7}}=>1
[2,4,7,3,8,5,1,6]=>[8,2,4,1,7,3,6,5]=>{{1,3,4,5,6,7,8},{2}}=>6
[2,7,3,1,8,5,4,6]=>[3,2,8,1,7,4,6,5]=>{{1,3,4,5,6,7,8},{2}}=>6
[2,8,3,1,7,4,5,6]=>[3,2,7,1,8,5,6,4]=>{{1,3,4,5,6,7,8},{2}}=>6
[1,8,2,7,3,5,6,4]=>[1,7,2,8,4,3,5,6]=>{{1},{2,3,4,5,6,7,8}}=>0
[3,8,5,2,6,1,7,4]=>[7,3,5,1,6,4,8,2]=>{{1,2,3,4,5,6,7,8}}=>0
[3,7,4,8,5,2,6,1]=>[7,3,5,4,8,1,2,6]=>{{1,2,3,5,6,7,8},{4}}=>4
[8,1,2,6,5,3,4,7]=>[5,1,2,6,8,4,3,7]=>{{1,2,3,5,7,8},{4,6}}=>2
[6,8,7,1,3,4,2,5]=>[8,6,7,3,2,4,5,1]=>{{1,8},{2,3,4,5,6,7}}=>1
[7,1,6,8,3,4,2,5]=>[7,1,8,6,3,4,5,2]=>{{1,2,3,5,7,8},{4,6}}=>2
[6,2,8,4,7,1,3,5]=>[2,6,4,8,7,5,3,1]=>{{1,2,3,4,5,6,7,8}}=>0
[3,4,2,8,5,1,6,7]=>[5,3,1,4,8,2,6,7]=>{{1,2,3,5,6,7,8},{4}}=>4
[6,8,2,7,5,4,1,3]=>[7,5,1,6,8,2,4,3]=>{{1,2,3,4,5,6,7,8}}=>0
[2,7,8,5,1,4,6,3]=>[7,2,5,8,4,1,3,6]=>{{1,3,4,5,6,7,8},{2}}=>6
[3,5,8,7,4,1,6,2]=>[8,5,3,7,1,4,2,6]=>{{1,2,4,5,6,7,8},{3}}=>5
[2,7,8,1,4,5,6,3]=>[8,2,7,3,1,4,5,6]=>{{1,3,4,5,6,7,8},{2}}=>6
[5,7,6,8,2,1,3,4]=>[8,6,7,5,3,4,2,1]=>{{1,8},{2,3,4,5,6,7}}=>1
[4,5,6,8,7,3,1,2]=>[8,7,5,4,6,1,3,2]=>{{1,2,3,5,6,7,8},{4}}=>4
[6,1,5,3,8,4,7,2]=>[6,1,7,2,5,3,8,4]=>{{1,2,3,4,6,7,8},{5}}=>3
[1,8,6,2,5,4,7,3]=>[1,5,6,3,7,2,8,4]=>{{1},{2,3,4,5,6,7,8}}=>0
[6,8,2,7,5,1,4,3]=>[7,5,1,6,8,4,2,3]=>{{1,2,3,5,7,8},{4,6}}=>2
[5,2,6,4,8,7,1,3]=>[2,6,4,8,5,7,3,1]=>{{1,2,3,4,6,7,8},{5}}=>3
[4,2,7,5,8,6,1,3]=>[2,7,4,6,5,8,3,1]=>{{1,2,3,4,6,7,8},{5}}=>3
[4,2,7,3,8,6,1,5]=>[2,7,4,1,6,8,5,3]=>{{1,2,3,4,5,6,7,8}}=>0
[6,2,7,5,8,4,1,3]=>[2,7,6,8,5,1,4,3]=>{{1,2,3,4,6,7,8},{5}}=>3
[4,8,1,7,3,2,5,6]=>[8,4,2,7,1,5,6,3]=>{{1,2,3,4,5,6,7,8}}=>0
[5,8,2,6,3,7,4,1]=>[8,5,1,6,3,7,2,4]=>{{1,2,3,4,5,6,7,8}}=>0
[4,8,2,3,7,5,6,1]=>[7,4,1,2,8,3,5,6]=>{{1,3,5,6,7,8},{2,4}}=>4
[7,8,6,3,5,4,2,1]=>[6,5,7,1,8,2,3,4]=>{{1,2,4,5,6,8},{3,7}}=>1
[2,4,8,3,7,5,6,1]=>[7,2,4,1,8,3,5,6]=>{{1,3,4,5,6,7,8},{2}}=>6
[3,1,5,8,6,4,7,2]=>[7,1,3,5,6,2,8,4]=>{{1,2,4,5,6,7,8},{3}}=>5
[2,3,8,6,4,7,5,1]=>[6,2,3,8,1,7,4,5]=>{{1,4,5,6,7,8},{2},{3}}=>10
[3,6,2,8,7,4,5,1]=>[8,3,1,6,7,4,2,5]=>{{1,2,3,5,7,8},{4,6}}=>2
[2,3,8,5,7,4,6,1]=>[5,2,3,8,7,1,4,6]=>{{1,4,5,6,7,8},{2},{3}}=>10
[5,7,8,3,4,6,2,1]=>[7,6,5,1,2,8,3,4]=>{{1,2,3,4,5,6,7,8}}=>0
[3,5,1,8,6,4,2,7]=>[8,3,2,5,6,1,4,7]=>{{1,4,5,6,7,8},{2,3}}=>5
[5,1,3,8,6,4,2,7]=>[3,1,8,5,6,2,4,7]=>{{1,2,3,4,5,6,7,8}}=>0
[8,2,5,4,1,6,7,3]=>[2,4,5,6,3,7,8,1]=>{{1,2,4,6,7,8},{3,5}}=>3
[7,3,1,8,6,5,2,4]=>[3,7,2,6,8,1,5,4]=>{{1,2,3,4,5,6,7,8}}=>0
[6,1,3,8,4,5,2,7]=>[3,1,8,6,2,4,5,7]=>{{1,2,3,5,7,8},{4,6}}=>2
[2,1,8,7,3,6,5,4]=>[2,1,6,7,4,8,3,5]=>{{1,2},{3,4,5,6,7,8}}=>0
[5,8,6,3,1,2,7,4]=>[7,5,6,1,4,3,8,2]=>{{1,2,4,5,7,8},{3,6}}=>2
[4,1,5,7,6,3,2,8]=>[7,1,5,4,6,2,3,8]=>{{1,2,3,5,6,7},{4},{8}}=>3
[7,5,2,8,6,4,3,1]=>[6,8,1,5,7,2,3,4]=>{{1,2,3,4,5,6,7,8}}=>0
[7,8,3,2,6,5,4,1]=>[6,3,7,1,8,2,4,5]=>{{1,2,3,4,6,7},{5,8}}=>0
[1,6,2,7,8,4,5,3]=>[1,8,2,7,6,4,3,5]=>{{1},{2,3,4,5,6,7,8}}=>0
[1,7,8,6,4,2,3,5]=>[1,7,6,8,2,5,4,3]=>{{1},{2,3,4,5,6,7,8}}=>0
[7,2,8,6,4,1,3,5]=>[2,7,6,8,1,5,4,3]=>{{1,2,3,4,5,6,7,8}}=>0
[1,5,3,7,4,2,6,8]=>[1,3,7,5,2,4,6,8]=>{{1},{2,3,4,5,6,7},{8}}=>0
[1,7,6,4,3,2,8,5]=>[1,4,6,8,2,5,7,3]=>{{1},{2,3,4,5,6,8},{7}}=>1
[1,7,6,3,4,2,5,8]=>[1,6,7,2,3,5,4,8]=>{{1},{2,3,4,5,6,7},{8}}=>0
[4,2,7,6,8,3,5,1]=>[2,8,4,7,6,3,1,5]=>{{1,2,3,4,5,6,7,8}}=>0
[3,2,6,4,8,5,7,1]=>[2,4,3,7,6,1,8,5]=>{{1,2,4,5,6,7,8},{3}}=>5
[6,4,8,5,7,1,3,2]=>[5,8,4,7,6,3,1,2]=>{{1,3,4,5,6,7},{2,8}}=>0
[8,1,2,5,3,7,6,4]=>[5,1,2,7,4,8,3,6]=>{{1,2,3,4,5,7},{6,8}}=>0
[3,4,2,8,6,7,1,5]=>[6,3,1,4,8,7,5,2]=>{{1,2,3,5,6,7,8},{4}}=>4
[5,8,1,4,3,6,7,2]=>[5,4,2,6,1,7,8,3]=>{{1,5},{2,3,4,6,7,8}}=>0
[5,2,3,8,7,4,1,6]=>[2,3,8,5,7,1,6,4]=>{{1,2,3,4,5,6,7,8}}=>0
[6,1,3,4,2,5,8,7]=>[3,1,4,6,2,5,8,7]=>{{1,2,3,4,5,6},{7,8}}=>0
[1,5,7,6,8,2,4,3]=>[1,8,6,7,5,4,2,3]=>{{1},{2,3,4,6,7,8},{5}}=>3
[7,3,6,1,5,8,4,2]=>[3,7,5,2,8,6,1,4]=>{{1,2,3,4,5,7,8},{6}}=>2
[1,7,8,6,3,5,4,2]=>[1,7,6,8,3,2,4,5]=>{{1},{2,3,4,5,6,7,8}}=>0
[3,7,5,4,6,1,2,8]=>[5,3,4,7,6,2,1,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[7,8,5,1,3,2,4,6]=>[7,5,8,3,2,4,6,1]=>{{1,3,4,6,7,8},{2,5}}=>3
[7,5,1,3,8,6,2,4]=>[6,7,2,1,5,8,4,3]=>{{1,2,3,4,6,7,8},{5}}=>3
[8,3,7,2,6,5,1,4]=>[3,7,6,1,8,2,5,4]=>{{1,2,3,4,5,6,7,8}}=>0
[1,5,3,8,4,2,7,6]=>[1,3,7,5,2,4,8,6]=>{{1},{2,3,4,5,6,7,8}}=>0
[8,4,1,3,2,6,7,5]=>[4,6,2,1,3,7,8,5]=>{{1,4},{2,3,5,6,7,8}}=>0
[7,1,6,3,4,8,2,5]=>[7,1,8,2,3,6,5,4]=>{{1,2,3,4,5,7,8},{6}}=>2
[8,2,6,3,5,1,4,7]=>[2,5,6,1,8,4,3,7]=>{{1,2,3,4,5,6,7,8}}=>0
[1,7,8,6,3,4,2,5]=>[1,7,6,8,3,4,5,2]=>{{1},{2,3,4,5,6,7,8}}=>0
[7,8,1,5,6,4,2,3]=>[6,5,2,8,7,1,4,3]=>{{1,6},{2,3,4,5,7,8}}=>0
[1,3,5,8,6,4,2,7]=>[1,8,3,5,6,2,4,7]=>{{1},{2,4,5,6,7,8},{3}}=>5
[8,5,1,6,2,3,4,7]=>[5,8,2,6,4,3,1,7]=>{{1,2,3,4,5,6,7,8}}=>0
[7,6,1,2,3,8,4,5]=>[7,8,2,3,4,6,5,1]=>{{1,2,3,4,5,7,8},{6}}=>2
[8,1,3,5,6,7,2,4]=>[3,1,5,8,6,7,4,2]=>{{1,2,3,4,5,6,7,8}}=>0
[3,7,6,2,5,8,4,1]=>[7,3,5,1,8,6,2,4]=>{{1,2,3,4,5,7,8},{6}}=>2
[6,8,7,5,2,1,4,3]=>[7,5,6,8,3,4,1,2]=>{{1,7},{2,3,4,5,6,8}}=>0
[2,8,6,3,5,1,4,7]=>[5,2,6,1,8,4,3,7]=>{{1,3,4,5,6,7,8},{2}}=>6
[1,2,8,6,4,5,3,7]=>[1,2,6,8,3,4,5,7]=>{{1},{2},{3,4,5,6,7,8}}=>0
[1,6,4,8,5,7,3,2]=>[1,5,6,4,8,7,2,3]=>{{1},{2,3,5,6,7,8},{4}}=>4
[1,6,8,5,4,2,3,7]=>[1,6,5,8,2,4,3,7]=>{{1},{2,3,4,5,6,7,8}}=>0
[6,5,3,7,4,1,8,2]=>[3,6,8,5,1,4,7,2]=>{{1,2,3,4,5,6,8},{7}}=>1
[5,7,8,2,4,6,1,3]=>[7,6,5,2,1,8,4,3]=>{{1,2,3,4,5,6,7,8}}=>0
[8,7,2,4,1,3,6,5]=>[4,7,1,8,3,5,2,6]=>{{1,3,4,5,6,8},{2,7}}=>1
[8,2,6,3,5,7,1,4]=>[2,5,6,1,8,7,4,3]=>{{1,2,3,4,5,6,7,8}}=>0
[8,2,3,1,7,4,5,6]=>[2,3,7,1,8,5,6,4]=>{{1,2,3,4,5,6,7,8}}=>0
[1,8,5,2,3,4,7,6]=>[1,5,7,3,4,2,8,6]=>{{1},{2,3,4,5,6,7,8}}=>0
[1,2,7,8,4,5,6,3]=>[1,2,8,7,3,4,5,6]=>{{1},{2},{3,4,5,6,7,8}}=>0
[5,4,8,2,7,6,3,1]=>[5,7,4,2,6,8,1,3]=>{{1,2,3,4,5,6,7,8}}=>0
[5,8,1,4,2,3,6,7]=>[5,4,2,8,3,1,6,7]=>{{1,2,3,4,5,6,7,8}}=>0
[4,5,8,2,3,1,6,7]=>[8,5,4,2,1,3,6,7]=>{{1,2,3,4,5,6,7,8}}=>0
[3,5,1,8,6,4,7,2]=>[7,3,2,5,6,1,8,4]=>{{1,4,5,6,7,8},{2,3}}=>5
[5,3,8,4,6,2,7,1]=>[4,5,3,7,6,1,8,2]=>{{1,2,4,5,6,7,8},{3}}=>5
[7,4,8,1,5,2,6,3]=>[5,7,4,3,8,2,1,6]=>{{1,2,5,6,7,8},{3,4}}=>4
[1,5,6,8,4,7,2,3]=>[1,8,6,5,2,7,4,3]=>{{1},{2,3,4,5,6,7,8}}=>0
[5,1,7,2,8,6,3,4]=>[7,1,6,3,5,8,4,2]=>{{1,2,3,4,6,7,8},{5}}=>3
[6,1,5,3,4,8,7,2]=>[5,1,7,2,3,6,8,4]=>{{1,2,3,4,5,7,8},{6}}=>2
[8,7,1,6,3,5,4,2]=>[6,7,2,8,3,1,4,5]=>{{1,6},{2,3,4,5,7,8}}=>0
[1,5,6,4,2,8,7,3]=>[1,5,4,7,3,6,8,2]=>{{1},{2,3,4,5,7,8},{6}}=>2
[3,2,8,1,7,5,6,4]=>[2,7,3,1,8,4,5,6]=>{{1,2,4,5,6,7,8},{3}}=>5
[6,1,7,8,4,2,3,5]=>[8,1,7,6,2,5,4,3]=>{{1,2,3,4,5,6,7,8}}=>0
[7,4,3,1,8,5,2,6]=>[3,4,8,2,7,1,6,5]=>{{1,3,5,6,7,8},{2,4}}=>4
[6,8,1,7,3,4,2,5]=>[8,6,2,7,3,4,5,1]=>{{1,8},{2,3,4,5,6,7}}=>1
[1,3,8,2,4,6,7,5]=>[1,6,3,2,4,7,8,5]=>{{1},{2,4,5,6,7,8},{3}}=>5
[3,1,7,2,5,8,6,4]=>[5,1,3,2,8,7,4,6]=>{{1,2,4,5,6,7,8},{3}}=>5
[6,2,5,8,4,7,3,1]=>[2,6,8,5,1,7,3,4]=>{{1,2,3,4,5,6,7,8}}=>0
[7,2,8,5,4,3,6,1]=>[2,7,5,8,1,3,4,6]=>{{1,2,3,4,5,6,7,8}}=>0
[7,5,8,6,4,1,3,2]=>[6,8,5,7,1,4,2,3]=>{{1,2,3,4,5,6,7,8}}=>0
[2,7,6,3,8,5,1,4]=>[7,2,8,1,6,3,5,4]=>{{1,3,4,5,6,7,8},{2}}=>6
[6,8,5,2,7,4,1,3]=>[7,5,8,2,6,1,4,3]=>{{1,2,4,5,6,7},{3,8}}=>0
[7,5,8,2,6,4,1,3]=>[6,8,5,2,7,1,4,3]=>{{1,6},{2,3,4,5,7,8}}=>0
[5,3,8,7,6,2,1,4]=>[5,8,3,6,7,2,4,1]=>{{1,2,4,5,6,7,8},{3}}=>5
[4,3,1,7,6,2,5,8]=>[3,6,2,4,7,5,1,8]=>{{1,2,3,5,6,7},{4},{8}}=>3
[4,1,3,7,5,2,6,8]=>[3,1,5,4,7,2,6,8]=>{{1,2,3,5,6,7},{4},{8}}=>3
[2,4,8,5,6,3,1,7]=>[8,2,4,5,6,1,3,7]=>{{1,3,4,5,6,7,8},{2}}=>6
[2,6,8,4,5,3,1,7]=>[5,2,4,6,8,1,3,7]=>{{1,3,4,5,6,7,8},{2}}=>6
[5,3,4,8,7,6,2,1]=>[3,7,5,4,6,8,1,2]=>{{1,2,3,5,6,7,8},{4}}=>4
[1,8,2,6,7,4,5,3]=>[1,6,2,8,7,4,3,5]=>{{1},{2,3,4,5,6,7,8}}=>0
[8,5,7,2,4,3,6,1]=>[5,8,7,2,1,3,4,6]=>{{1,5},{2,3,4,6,7,8}}=>0
[8,5,3,6,4,7,2,1]=>[3,5,8,6,1,7,2,4]=>{{1,2,3,4,5,6,7,8}}=>0
[8,2,5,3,6,7,4,1]=>[2,5,8,1,6,7,3,4]=>{{1,2,3,4,5,6,7,8}}=>0
[8,2,4,7,6,3,1,5]=>[2,4,7,6,8,3,5,1]=>{{1,2,3,4,5,6,7,8}}=>0
[8,7,5,1,4,6,3,2]=>[5,6,7,3,1,8,2,4]=>{{1,5},{2,3,4,6,7,8}}=>0
[1,4,5,8,3,2,6,7]=>[1,8,5,4,2,3,6,7]=>{{1},{2,3,5,6,7,8},{4}}=>4
[1,5,2,4,7,8,6,3]=>[1,4,2,8,5,7,3,6]=>{{1},{2,3,4,6,7,8},{5}}=>3
[1,6,3,2,7,5,8,4]=>[1,3,8,2,6,4,7,5]=>{{1},{2,3,4,5,6,8},{7}}=>1
[1,8,7,2,4,6,3,5]=>[1,6,7,3,2,8,5,4]=>{{1},{2,3,4,5,6,7,8}}=>0
[1,8,7,2,5,4,3,6]=>[1,5,7,3,8,2,6,4]=>{{1},{2,3,4,5,6,7,8}}=>0
[1,5,4,2,8,7,3,6]=>[1,4,7,3,5,8,6,2]=>{{1},{2,3,4,6,7,8},{5}}=>3
[1,4,7,3,2,8,6,5]=>[1,8,4,2,3,7,5,6]=>{{1},{2,3,4,5,6,7,8}}=>0
[5,4,2,8,7,6,1,3]=>[5,7,1,4,6,8,3,2]=>{{1,2,3,5,6,7,8},{4}}=>4
[8,6,3,2,5,7,4,1]=>[3,5,6,1,8,7,2,4]=>{{1,2,3,4,5,6,7,8}}=>0
[1,6,5,3,4,7,8,2]=>[1,5,8,2,3,6,7,4]=>{{1},{2,3,4,5,8},{6},{7}}=>2
[5,1,7,2,6,4,8,3]=>[8,1,5,3,6,2,7,4]=>{{1,2,3,4,5,6,8},{7}}=>1
[5,2,1,7,6,4,8,3]=>[2,8,1,5,6,3,7,4]=>{{1,2,3,4,5,6,8},{7}}=>1
[6,8,5,2,7,3,1,4]=>[7,5,8,2,6,3,4,1]=>{{1,2,3,4,5,6,7,8}}=>0
[7,2,1,4,3,5,8,6]=>[2,4,1,8,3,5,7,6]=>{{1,2,3,4,5,6,8},{7}}=>1
[8,1,5,4,2,3,6,7]=>[4,1,5,8,3,2,6,7]=>{{1,2,4,6,7,8},{3,5}}=>3
[7,1,2,4,6,3,8,5]=>[4,1,2,6,8,5,7,3]=>{{1,2,3,4,5,6,8},{7}}=>1
[7,1,4,5,2,3,6,8]=>[4,1,7,5,3,2,6,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[6,1,4,8,7,2,3,5]=>[6,1,8,4,7,5,3,2]=>{{1,2,3,5,6,7,8},{4}}=>4
[6,1,8,5,7,2,3,4]=>[7,1,5,8,6,4,3,2]=>{{1,2,3,4,5,6,7,8}}=>0
[6,1,7,5,8,2,3,4]=>[7,1,6,8,5,4,3,2]=>{{1,2,3,4,6,7,8},{5}}=>3
[5,8,6,1,2,4,7,3]=>[7,5,6,3,4,1,8,2]=>{{1,2,3,4,5,6,7,8}}=>0
[6,1,8,7,5,2,3,4]=>[7,1,5,6,8,4,3,2]=>{{1,2,3,5,7,8},{4,6}}=>2
[8,3,1,2,4,6,5,7]=>[3,6,2,1,4,8,5,7]=>{{1,2,3,4,5,6,7,8}}=>0
[8,3,1,2,4,5,7,6]=>[3,7,2,1,4,5,8,6]=>{{1,2,3,4,5,6,7,8}}=>0
[6,7,1,4,2,3,5,8]=>[6,4,2,7,3,5,1,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[6,7,8,5,1,2,4,3]=>[7,6,5,8,4,3,1,2]=>{{1,7},{2,3,4,5,6,8}}=>0
[7,4,6,1,5,3,8,2]=>[4,6,5,3,8,1,7,2]=>{{1,2,3,4,5,6,8},{7}}=>1
[2,6,3,4,8,7,5,1]=>[3,2,4,8,6,7,1,5]=>{{1,3,4,5,6,7,8},{2}}=>6
[8,4,5,7,6,1,2,3]=>[4,8,6,5,7,3,2,1]=>{{1,2,4,5,7,8},{3,6}}=>2
[8,4,5,7,1,3,6,2]=>[4,8,7,5,3,1,2,6]=>{{1,2,3,4,5,6,7,8}}=>0
[8,1,3,4,6,7,5,2]=>[3,1,4,6,8,7,2,5]=>{{1,2,3,4,6,7},{5,8}}=>0
[2,7,8,6,1,5,3,4]=>[7,2,6,8,4,1,5,3]=>{{1,3,4,5,6,7,8},{2}}=>6
[6,8,2,1,3,5,4,7]=>[8,6,1,3,4,2,5,7]=>{{1,3,4,5,7,8},{2,6}}=>2
[8,7,3,6,5,2,4,1]=>[3,5,6,7,8,2,1,4]=>{{1,2,3,4,5,6,7,8}}=>0
[7,3,8,6,2,1,4,5]=>[6,7,3,8,2,5,4,1]=>{{1,2,4,5,6,7,8},{3}}=>5
[5,8,6,4,7,2,3,1]=>[7,4,5,8,6,2,1,3]=>{{1,7},{2,3,4,5,6,8}}=>0
[6,5,8,1,3,4,2,7]=>[6,8,5,3,2,1,4,7]=>{{1,6},{2,3,4,5,7,8}}=>0
[6,8,4,5,1,3,2,7]=>[5,4,8,6,3,1,2,7]=>{{1,2,3,4,5,6,7,8}}=>0
[3,6,5,1,4,7,2,8]=>[7,3,5,2,1,6,4,8]=>{{1,2,3,4,5,7},{6},{8}}=>1
[5,1,3,8,2,4,6,7]=>[3,1,8,5,4,2,6,7]=>{{1,2,3,6,7,8},{4,5}}=>3
[1,5,8,4,2,3,6,7]=>[1,5,4,8,3,2,6,7]=>{{1},{2,3,4,5,6,7,8}}=>0
[5,8,2,1,4,3,6,7]=>[8,5,1,3,2,4,6,7]=>{{1,3,4,6,7,8},{2,5}}=>3
[5,8,2,4,3,6,1,7]=>[5,4,1,6,2,8,3,7]=>{{1,2,3,4,5,6,7,8}}=>0
[5,8,2,4,6,3,7,1]=>[5,4,1,7,6,2,8,3]=>{{1,2,3,4,5,6,7,8}}=>0
[8,6,2,4,5,3,7,1]=>[4,5,1,6,7,2,8,3]=>{{1,2,3,4,5,6,7,8}}=>0
[8,6,2,4,5,3,1,7]=>[4,5,1,6,8,2,3,7]=>{{1,2,3,4,5,6,7,8}}=>0
[3,8,1,6,2,4,5,7]=>[6,3,2,8,4,5,1,7]=>{{1,4,5,6,7,8},{2,3}}=>5
[3,8,6,2,1,4,5,7]=>[8,3,6,1,4,5,2,7]=>{{1,2,3,4,5,6,7,8}}=>0
[3,8,6,2,4,5,7,1]=>[7,3,6,1,2,4,8,5]=>{{1,2,3,4,5,6,7,8}}=>0
[8,3,6,7,2,1,4,5]=>[3,8,6,7,2,5,4,1]=>{{1,2,3,5,6,8},{4,7}}=>1
[8,2,6,4,5,1,7,3]=>[2,4,5,6,7,3,8,1]=>{{1,2,3,4,5,6,7,8}}=>0
[2,1,5,8,7,3,6,4]=>[2,1,8,5,7,4,3,6]=>{{1,2},{3,4,5,6,7,8}}=>0
[4,3,1,7,8,5,2,6]=>[3,8,2,4,7,1,6,5]=>{{1,2,3,5,6,7,8},{4}}=>4
[4,2,7,8,3,5,6,1]=>[2,8,7,4,1,3,5,6]=>{{1,2,3,5,6,7,8},{4}}=>4
[2,8,7,1,5,3,6,4]=>[5,2,7,3,8,4,1,6]=>{{1,3,4,5,6,7,8},{2}}=>6
[4,8,3,2,7,5,6,1]=>[4,3,7,1,8,2,5,6]=>{{1,4},{2,3,5,6,7,8}}=>0
[2,6,8,1,5,3,4,7]=>[6,2,5,3,8,4,1,7]=>{{1,3,4,5,6,7,8},{2}}=>6
[3,8,1,6,4,5,2,7]=>[6,3,2,8,1,4,5,7]=>{{1,4,5,6,7,8},{2,3}}=>5
[8,1,3,6,5,4,2,7]=>[3,1,5,6,8,2,4,7]=>{{1,2,3,4,5,6,7,8}}=>0
[7,4,3,6,2,1,8,5]=>[3,4,8,6,1,5,7,2]=>{{1,2,3,4,5,6,8},{7}}=>1
[7,2,1,5,3,4,8,6]=>[2,5,1,8,4,3,7,6]=>{{1,2,3,4,5,6,8},{7}}=>1
[8,4,2,7,3,5,6,1]=>[4,8,1,7,2,3,5,6]=>{{1,2,3,4,5,6,7,8}}=>0
[1,8,6,4,7,5,3,2]=>[1,4,6,8,7,2,3,5]=>{{1},{2,3,4,5,6,7,8}}=>0
[7,4,1,5,8,6,3,2]=>[4,7,2,6,5,8,1,3]=>{{1,2,3,4,6,7,8},{5}}=>3
[4,5,8,7,3,1,2,6]=>[8,7,4,5,1,3,6,2]=>{{1,2,3,4,5,6,7,8}}=>0
[2,8,5,1,7,4,6,3]=>[5,2,8,3,7,1,4,6]=>{{1,3,4,5,6,7,8},{2}}=>6
[1,2,8,6,4,7,5,3]=>[1,2,6,8,3,7,4,5]=>{{1},{2},{3,4,5,6,7,8}}=>0
[8,4,3,1,6,2,5,7]=>[3,4,6,2,8,5,1,7]=>{{1,3,5,6,7,8},{2,4}}=>4
[5,2,7,4,1,3,8,6]=>[2,5,4,8,3,1,7,6]=>{{1,2,3,4,5,6,8},{7}}=>1
[6,2,3,7,4,8,1,5]=>[2,3,8,7,1,6,5,4]=>{{1,2,3,4,5,7,8},{6}}=>2
[2,5,7,8,4,6,3,1]=>[7,2,6,5,1,8,3,4]=>{{1,3,4,5,6,7,8},{2}}=>6
[4,1,5,3,8,6,7,2]=>[6,1,4,2,5,7,8,3]=>{{1,2,3,4,6,7,8},{5}}=>3
[7,1,3,2,4,5,6,8]=>[3,1,7,2,4,5,6,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[3,8,7,1,4,2,5,6]=>[8,3,7,2,1,5,6,4]=>{{1,2,3,4,5,6,7,8}}=>0
[5,1,7,8,2,4,3,6]=>[8,1,7,5,4,2,6,3]=>{{1,2,3,6,7,8},{4,5}}=>3
[8,5,4,6,1,7,3,2]=>[4,6,8,5,3,7,1,2]=>{{1,2,3,4,5,6,7,8}}=>0
[3,7,4,5,6,8,2,1]=>[8,3,4,5,7,6,1,2]=>{{1,2,3,4,5,7,8},{6}}=>2
[8,7,1,4,2,5,3,6]=>[4,7,2,8,3,1,6,5]=>{{1,2,3,4,5,6,7,8}}=>0
[8,4,3,5,7,1,6,2]=>[3,4,8,5,7,2,1,6]=>{{1,2,3,4,5,6,7,8}}=>0
[8,5,2,4,3,7,1,6]=>[4,5,1,7,2,8,6,3]=>{{1,3,4,6,7,8},{2,5}}=>3
[7,5,4,1,3,6,8,2]=>[4,5,6,3,1,8,7,2]=>{{1,2,3,4,5,6,8},{7}}=>1
[6,1,3,2,8,5,7,4]=>[3,1,7,2,6,4,8,5]=>{{1,2,3,4,5,6,7,8}}=>0
[8,5,3,2,4,7,1,6]=>[3,5,7,1,2,8,6,4]=>{{1,3,4,6,7,8},{2,5}}=>3
[3,8,6,4,7,2,1,5]=>[6,3,4,8,7,2,5,1]=>{{1,2,3,4,6,8},{5,7}}=>1
[5,7,2,1,6,8,3,4]=>[8,5,1,3,7,6,4,2]=>{{1,2,3,4,5,7,8},{6}}=>2
[4,7,8,5,1,6,2,3]=>[7,5,4,6,3,8,2,1]=>{{1,2,3,4,5,6,7,8}}=>0
[1,3,8,4,6,2,5,7]=>[1,4,3,6,8,5,2,7]=>{{1},{2,4,5,6,7,8},{3}}=>5
[1,8,4,2,3,7,5,6]=>[1,4,7,3,2,8,6,5]=>{{1},{2,3,4,5,6,7,8}}=>0
[1,7,5,4,3,2,6,8]=>[1,4,5,7,2,3,6,8]=>{{1},{2,3,4,5,6,7},{8}}=>0
[3,6,8,4,5,2,1,7]=>[5,4,3,6,8,1,2,7]=>{{1,2,4,5,6,7,8},{3}}=>5
[8,2,5,7,3,6,1,4]=>[2,5,7,6,3,8,4,1]=>{{1,2,3,4,5,6,7,8}}=>0
[7,2,3,4,1,8,5,6]=>[2,3,4,8,1,7,6,5]=>{{1,2,3,4,5,8},{6,7}}=>1
[8,5,1,2,3,7,4,6]=>[5,7,2,3,4,8,6,1]=>{{1,2,3,4,5,6,7,8}}=>0
[8,3,5,1,2,4,7,6]=>[3,7,5,2,4,1,8,6]=>{{1,2,3,4,5,6,7,8}}=>0
[8,3,1,7,5,6,2,4]=>[3,5,2,6,7,8,4,1]=>{{1,2,3,4,5,6,7,8}}=>0
[8,4,1,7,5,2,6,3]=>[4,7,2,5,8,3,1,6]=>{{1,2,3,4,5,6,7,8}}=>0
[8,4,3,7,5,1,2,6]=>[3,4,7,5,8,2,6,1]=>{{1,2,3,4,5,6,7,8}}=>0
[1,4,6,8,2,5,7,3]=>[1,7,6,4,3,2,8,5]=>{{1},{2,3,5,6,7,8},{4}}=>4
[3,6,2,4,8,1,7,5]=>[4,3,1,7,6,5,8,2]=>{{1,2,3,4,7,8},{5,6}}=>2
[4,5,3,1,8,2,6,7]=>[4,3,8,2,5,1,6,7]=>{{1,2,3,4,6,7,8},{5}}=>3
[5,1,7,8,3,6,2,4]=>[7,1,6,5,3,8,4,2]=>{{1,2,3,4,5,6,7,8}}=>0
[7,2,8,4,1,3,5,6]=>[2,7,4,8,3,5,6,1]=>{{1,2,3,4,5,6,7,8}}=>0
[6,1,7,3,2,8,4,5]=>[8,1,7,2,4,6,5,3]=>{{1,2,3,4,5,7,8},{6}}=>2
[7,4,2,8,3,1,5,6]=>[7,8,1,4,2,5,6,3]=>{{1,2,3,5,6,7,8},{4}}=>4
[7,3,4,1,8,6,2,5]=>[3,7,4,2,6,8,5,1]=>{{1,2,3,4,5,6,7,8}}=>0
[1,6,7,8,3,2,5,4]=>[1,8,7,6,3,5,2,4]=>{{1},{2,3,4,5,6,7,8}}=>0
[5,7,1,4,6,2,8,3]=>[5,4,2,8,6,3,7,1]=>{{1,2,3,4,5,6,8},{7}}=>1
[8,7,1,5,4,6,3,2]=>[5,6,2,7,1,8,3,4]=>{{1,5},{2,3,4,6,7,8}}=>0
[7,4,6,1,8,5,2,3]=>[4,8,7,3,6,1,5,2]=>{{1,3,4,5,6,7},{2,8}}=>0
[1,8,3,2,5,4,6,7]=>[1,3,5,2,8,4,6,7]=>{{1},{2,3,4,5,6,7,8}}=>0
[5,7,8,1,3,2,4,6]=>[8,7,5,3,2,4,6,1]=>{{1,8},{2,3,4,5,6,7}}=>1
[8,2,4,1,6,7,3,5]=>[2,4,6,3,8,7,5,1]=>{{1,2,3,4,5,6,7,8}}=>0
[1,7,4,8,3,6,2,5]=>[1,6,7,4,2,8,5,3]=>{{1},{2,3,5,6,7,8},{4}}=>4
[7,8,6,1,3,5,4,2]=>[7,6,8,3,2,1,4,5]=>{{1,2,3,4,5,6,7,8}}=>0
[6,3,1,2,7,8,5,4]=>[3,8,2,1,7,6,4,5]=>{{1,2,3,4,5,7,8},{6}}=>2
[8,2,7,5,3,4,1,6]=>[2,5,7,8,3,1,6,4]=>{{1,2,3,5,6,7},{4,8}}=>0
[8,4,7,2,6,3,1,5]=>[4,7,6,2,8,3,5,1]=>{{1,2,4,5,7,8},{3,6}}=>2
[8,6,3,4,7,2,1,5]=>[3,4,6,8,7,2,5,1]=>{{1,2,3,4,6,8},{5,7}}=>1
[6,8,7,2,3,1,4,5]=>[8,6,7,2,3,5,4,1]=>{{1,8},{2,3,4,5,6,7}}=>1
[4,7,6,5,2,8,3,1]=>[8,4,5,7,2,6,1,3]=>{{1,2,3,4,5,7,8},{6}}=>2
[7,2,1,8,5,6,4,3]=>[2,6,1,5,7,8,3,4]=>{{1,2,3,4,5,6,7,8}}=>0
[3,6,5,1,4,8,2,7]=>[8,3,5,2,1,6,4,7]=>{{1,2,3,4,5,7,8},{6}}=>2
[8,5,6,4,3,1,7,2]=>[4,6,5,7,1,3,8,2]=>{{1,2,3,4,5,6,7,8}}=>0
[8,3,5,6,7,1,2,4]=>[3,8,5,7,6,4,2,1]=>{{1,2,3,4,5,6,7,8}}=>0
[8,6,1,4,3,7,2,5]=>[4,6,2,8,1,7,5,3]=>{{1,2,3,4,5,6,7,8}}=>0
[8,4,7,5,1,6,3,2]=>[4,7,5,6,3,8,1,2]=>{{1,2,4,6,7,8},{3,5}}=>3
[8,3,4,1,6,7,5,2]=>[3,6,4,2,8,7,1,5]=>{{1,2,3,4,6,7},{5,8}}=>0
[5,2,3,7,4,1,8,6]=>[2,3,8,5,1,4,7,6]=>{{1,2,3,4,5,6,8},{7}}=>1
[7,1,2,4,5,6,8,3]=>[4,1,2,5,6,8,7,3]=>{{1,2,3,4,5,6,8},{7}}=>1
[8,7,1,3,4,5,6,2]=>[7,8,2,1,3,4,5,6]=>{{1,2,3,4,5,6,7,8}}=>0
[6,8,2,3,1,5,7,4]=>[7,6,1,2,4,3,8,5]=>{{1,2,3,4,5,6,7,8}}=>0
[7,2,1,3,5,6,8,4]=>[2,5,1,3,6,8,7,4]=>{{1,2,3,4,5,6,8},{7}}=>1
[7,3,6,4,5,8,1,2]=>[3,5,4,7,8,6,2,1]=>{{1,2,3,4,5,7,8},{6}}=>2
[3,6,8,4,1,7,2,5]=>[6,4,3,8,2,7,5,1]=>{{1,2,4,5,6,7,8},{3}}=>5
[3,5,2,4,7,8,6,1]=>[4,3,1,8,5,7,2,6]=>{{1,2,3,4,6,7,8},{5}}=>3
[7,4,2,6,1,5,8,3]=>[4,8,1,6,3,2,7,5]=>{{1,2,3,4,5,6,8},{7}}=>1
[7,3,4,5,1,6,8,2]=>[3,6,4,5,2,8,7,1]=>{{1,2,3,4,5,6,8},{7}}=>1
[8,4,2,7,6,1,5,3]=>[4,7,1,6,8,5,2,3]=>{{1,3,4,5,6,8},{2,7}}=>1
[6,8,4,7,5,2,1,3]=>[6,4,7,5,8,2,3,1]=>{{1,2,4,5,6,8},{3,7}}=>1
[6,8,2,7,1,5,4,3]=>[8,6,1,7,4,2,3,5]=>{{1,3,4,5,7,8},{2,6}}=>2
[6,8,7,4,2,5,1,3]=>[7,4,6,8,2,1,5,3]=>{{1,2,3,4,5,6,7,8}}=>0
[6,8,4,5,7,2,1,3]=>[5,4,8,7,6,2,3,1]=>{{1,2,3,4,5,6,7,8}}=>0
[6,8,1,3,5,7,4,2]=>[6,5,2,1,8,7,3,4]=>{{1,2,3,4,5,6,7,8}}=>0
[6,8,3,1,5,4,7,2]=>[5,3,6,2,7,1,8,4]=>{{1,2,3,4,5,6,7,8}}=>0
[5,2,8,3,4,6,7,1]=>[2,6,5,1,3,7,8,4]=>{{1,2,4,6,7,8},{3,5}}=>3
[5,2,7,1,6,4,8,3]=>[2,8,5,3,6,1,7,4]=>{{1,2,3,4,5,6,8},{7}}=>1
[6,2,1,7,5,3,4,8]=>[2,6,1,5,7,4,3,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[3,7,1,8,5,2,4,6]=>[7,3,2,5,8,4,6,1]=>{{1,4,5,6,7,8},{2,3}}=>5
[1,5,2,3,7,8,6,4]=>[1,8,2,3,5,7,4,6]=>{{1},{2,3,4,6,7,8},{5}}=>3
[2,4,5,8,3,1,7,6]=>[7,2,5,4,1,3,8,6]=>{{1,3,5,6,7,8},{2},{4}}=>9
[4,8,7,3,5,6,2,1]=>[6,4,5,1,7,8,2,3]=>{{1,2,3,4,5,6,7,8}}=>0
[6,2,5,1,3,4,8,7]=>[2,5,6,3,4,1,8,7]=>{{1,2,3,4,5,6},{7,8}}=>0
[7,8,5,3,2,1,6,4]=>[7,5,8,1,3,4,2,6]=>{{1,2,3,4,5,6,7,8}}=>0
[1,2,6,7,8,4,5,3]=>[1,2,8,7,6,4,3,5]=>{{1},{2},{3,4,5,6,7,8}}=>0
[4,6,3,7,8,2,1,5]=>[7,3,8,4,6,2,5,1]=>{{1,2,3,5,6,7,8},{4}}=>4
[5,6,7,1,8,4,2,3]=>[8,7,6,3,5,1,4,2]=>{{1,2,3,4,6,7,8},{5}}=>3
[2,6,8,1,4,3,7,5]=>[7,2,6,3,1,5,8,4]=>{{1,3,4,5,6,7,8},{2}}=>6
[4,1,8,2,6,7,3,5]=>[6,1,4,3,8,7,5,2]=>{{1,2,5,6,7,8},{3,4}}=>4
[7,5,8,1,6,2,3,4]=>[6,8,5,3,7,4,2,1]=>{{1,2,3,4,5,6,7,8}}=>0
[6,7,5,3,2,8,4,1]=>[7,5,8,1,3,6,2,4]=>{{1,2,3,4,5,7,8},{6}}=>2
[1,4,2,8,3,5,7,6]=>[1,7,2,4,3,5,8,6]=>{{1},{2,3,5,6,7,8},{4}}=>4
[6,8,1,5,2,3,7,4]=>[6,5,2,7,4,3,8,1]=>{{1,2,3,4,5,6,7,8}}=>0
[5,8,4,1,6,2,7,3]=>[5,4,7,3,6,2,8,1]=>{{1,2,3,4,5,6,7,8}}=>0
[4,8,1,3,7,6,2,5]=>[6,4,2,1,7,8,5,3]=>{{1,2,3,4,6,8},{5,7}}=>1
[8,4,2,3,7,6,1,5]=>[4,6,1,2,7,8,5,3]=>{{1,2,3,4,6,8},{5,7}}=>1
[7,1,6,8,2,5,4,3]=>[7,1,8,6,4,2,3,5]=>{{1,2,3,4,5,6,7,8}}=>0
[4,7,1,8,3,2,5,6]=>[8,7,2,4,1,5,6,3]=>{{1,2,3,5,6,7,8},{4}}=>4
[3,2,8,6,4,5,1,7]=>[2,6,3,8,1,4,5,7]=>{{1,2,4,5,6,7,8},{3}}=>5
[7,4,6,1,8,5,3,2]=>[4,8,7,3,6,1,2,5]=>{{1,2,3,4,5,6,7,8}}=>0
[7,4,8,1,6,3,2,5]=>[6,7,4,3,8,2,5,1]=>{{1,2,5,6,7,8},{3,4}}=>4
[6,4,8,2,3,5,7,1]=>[6,7,4,2,1,3,8,5]=>{{1,2,3,4,5,6,7,8}}=>0
[5,2,3,7,6,1,4,8]=>[2,3,7,5,6,4,1,8]=>{{1,2,3,7},{4,5,6},{8}}=>1
[5,6,2,3,8,4,7,1]=>[7,6,1,2,5,3,8,4]=>{{1,2,3,4,6,7,8},{5}}=>3
[5,7,2,3,4,1,6,8]=>[7,5,1,2,3,4,6,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[7,2,6,3,5,1,4,8]=>[2,5,6,1,7,4,3,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[7,5,2,1,4,6,8,3]=>[5,6,1,3,2,8,7,4]=>{{1,2,3,4,5,6,8},{7}}=>1
[8,5,2,3,1,6,4,7]=>[5,6,1,2,4,8,3,7]=>{{1,2,3,4,5,6,7,8}}=>0
[8,2,6,3,1,7,4,5]=>[2,6,8,1,4,7,5,3]=>{{1,2,4,5,6,7},{3,8}}=>0
[1,7,2,4,5,6,8,3]=>[1,4,2,5,6,8,7,3]=>{{1},{2,3,4,5,6,8},{7}}=>1
[1,8,3,2,5,6,4,7]=>[1,3,5,2,6,8,4,7]=>{{1},{2,3,4,5,6,7,8}}=>0
[6,8,2,3,1,5,4,7]=>[8,6,1,2,4,3,5,7]=>{{1,2,3,4,5,6,7,8}}=>0
[5,1,3,8,4,6,7,2]=>[3,1,6,5,2,7,8,4]=>{{1,2,3,4,5,6,7,8}}=>0
[6,2,7,3,4,5,1,8]=>[2,7,6,1,3,4,5,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[3,8,4,5,2,1,6,7]=>[8,3,4,5,1,2,6,7]=>{{1,2,3,4,5,6,7,8}}=>0
[7,5,2,6,1,8,4,3]=>[5,8,1,7,4,6,2,3]=>{{1,2,3,4,5,7,8},{6}}=>2
[8,3,2,6,4,5,1,7]=>[3,6,1,8,2,4,5,7]=>{{1,3},{2,4,5,6,7,8}}=>0
[8,5,6,2,7,1,3,4]=>[5,8,7,2,6,4,3,1]=>{{1,2,4,5,6,8},{3,7}}=>1
[8,4,7,2,6,5,1,3]=>[4,7,6,2,8,1,5,3]=>{{1,2,3,4,5,6,7,8}}=>0
[8,5,7,3,2,6,1,4]=>[5,7,6,1,3,8,4,2]=>{{1,2,3,4,5,6,7,8}}=>0
[8,1,2,3,6,4,7,5]=>[6,1,2,3,7,5,8,4]=>{{1,2,3,4,5,6,7,8}}=>0
[3,4,2,8,1,6,7,5]=>[6,3,1,4,2,7,8,5]=>{{1,2,3,5,6,7,8},{4}}=>4
[8,3,4,1,5,7,6,2]=>[3,5,4,2,7,8,1,6]=>{{1,2,3,4,5,7},{6,8}}=>0
[3,5,2,8,6,7,4,1]=>[8,3,1,5,6,7,2,4]=>{{1,2,3,4,5,6,7,8}}=>0
[5,3,7,4,2,8,6,1]=>[4,5,3,8,1,7,2,6]=>{{1,2,4,5,6,7,8},{3}}=>5
[7,2,5,8,6,1,4,3]=>[2,6,8,5,7,4,1,3]=>{{1,2,4,5,6,7},{3,8}}=>0
[7,1,8,3,4,6,2,5]=>[7,1,6,2,3,8,5,4]=>{{1,2,3,4,5,6,7,8}}=>0
[5,4,1,2,6,7,3,8]=>[4,7,2,3,5,6,1,8]=>{{1,2,3,4,7},{5},{6},{8}}=>2
[3,1,6,7,8,4,5,2]=>[8,1,3,7,6,4,2,5]=>{{1,2,4,5,6,7,8},{3}}=>5
[1,7,6,3,8,4,5,2]=>[1,7,8,2,6,4,3,5]=>{{1},{2,3,4,5,6,7,8}}=>0
[4,5,8,2,3,7,1,6]=>[7,5,4,2,1,8,6,3]=>{{1,2,3,4,5,6,7,8}}=>0
[6,8,1,5,4,2,3,7]=>[6,5,2,8,1,4,3,7]=>{{1,2,3,4,5,6,7,8}}=>0
[6,3,1,7,4,2,5,8]=>[3,7,2,6,1,5,4,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[8,7,2,1,5,3,6,4]=>[5,7,1,3,8,4,2,6]=>{{1,3,4,5,6,8},{2,7}}=>1
[8,3,6,4,1,5,7,2]=>[3,6,4,7,2,1,8,5]=>{{1,2,3,4,5,6,7,8}}=>0
[1,7,6,5,3,8,2,4]=>[1,5,7,8,3,6,4,2]=>{{1},{2,3,4,5,7,8},{6}}=>2
[6,1,2,4,3,5,8,7]=>[4,1,2,6,3,5,8,7]=>{{1,2,3,4,5,6},{7,8}}=>0
[4,6,1,3,7,8,5,2]=>[8,4,2,1,7,6,3,5]=>{{1,2,3,4,5,7,8},{6}}=>2
[8,5,2,6,7,1,4,3]=>[5,8,1,7,6,4,2,3]=>{{1,2,3,4,5,6,7,8}}=>0
[2,8,6,1,5,4,7,3]=>[5,2,6,3,7,1,8,4]=>{{1,3,4,5,6,7,8},{2}}=>6
[6,1,4,5,2,7,3,8]=>[4,1,7,5,3,6,2,8]=>{{1,2,3,4,5,7},{6},{8}}=>1
[7,1,2,3,6,4,5,8]=>[6,1,2,3,7,5,4,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[6,5,1,4,7,3,2,8]=>[4,6,2,7,5,1,3,8]=>{{1,2,3,4,6,7},{5},{8}}=>2
[5,2,8,3,4,1,6,7]=>[2,8,5,1,3,4,6,7]=>{{1,2,4,6,7,8},{3,5}}=>3
[8,4,1,2,5,3,7,6]=>[4,5,2,3,7,1,8,6]=>{{1,2,3,4,5,6,7,8}}=>0
[1,5,2,7,6,8,4,3]=>[1,8,2,5,7,6,3,4]=>{{1},{2,3,4,5,7,8},{6}}=>2
[8,6,5,2,7,1,4,3]=>[5,7,8,2,6,4,1,3]=>{{1,2,4,5,6,7},{3,8}}=>0
[2,6,4,8,5,7,3,1]=>[5,2,6,4,8,7,1,3]=>{{1,3,5,6,7,8},{2},{4}}=>9
[4,6,1,3,2,8,5,7]=>[8,4,2,1,3,6,5,7]=>{{1,2,3,4,5,7,8},{6}}=>2
[8,3,6,4,2,7,1,5]=>[3,6,4,8,1,7,5,2]=>{{1,2,3,4,5,6,7,8}}=>0
[8,3,2,1,6,4,7,5]=>[3,6,1,2,7,5,8,4]=>{{1,3},{2,4,5,6,7,8}}=>0
[2,3,8,4,1,7,5,6]=>[4,2,3,7,1,8,6,5]=>{{1,4,5,6,7,8},{2},{3}}=>10
[3,2,8,5,6,1,4,7]=>[2,5,3,8,6,4,1,7]=>{{1,2,4,5,6,7,8},{3}}=>5
[7,2,5,8,1,4,6,3]=>[2,7,8,5,4,1,3,6]=>{{1,2,3,6,7,8},{4,5}}=>3
[4,7,5,8,1,2,6,3]=>[8,5,7,4,3,2,1,6]=>{{1,2,3,5,6,7,8},{4}}=>4
[3,7,8,4,2,1,6,5]=>[7,4,3,8,1,5,2,6]=>{{1,2,4,5,6,7,8},{3}}=>5
[4,8,3,7,6,2,1,5]=>[4,3,7,6,8,2,5,1]=>{{1,2,3,4,5,6,7,8}}=>0
[1,4,7,6,3,8,2,5]=>[1,8,4,7,2,6,5,3]=>{{1},{2,3,4,5,7,8},{6}}=>2
[4,7,2,8,5,1,6,3]=>[7,5,1,4,8,3,2,6]=>{{1,2,3,5,6,7,8},{4}}=>4
[8,6,2,7,3,5,1,4]=>[6,8,1,7,3,2,5,4]=>{{1,2,3,4,5,6,7,8}}=>0
[8,1,7,3,6,5,2,4]=>[6,1,7,2,8,3,5,4]=>{{1,2,3,4,5,6,7,8}}=>0
[5,7,3,2,4,8,6,1]=>[5,3,8,1,2,7,4,6]=>{{1,2,3,4,5,6,7,8}}=>0
[2,8,4,6,3,5,1,7]=>[4,2,8,6,1,3,5,7]=>{{1,3,4,5,6,7,8},{2}}=>6
[3,8,5,2,1,6,4,7]=>[6,3,5,1,4,8,2,7]=>{{1,2,3,4,5,6,7,8}}=>0
[8,6,7,1,4,3,2,5]=>[6,8,7,3,1,4,5,2]=>{{1,3,4,5,6,7},{2,8}}=>0
[8,3,6,1,2,7,4,5]=>[3,8,6,2,4,7,5,1]=>{{1,2,3,4,5,6,7,8}}=>0
[6,8,1,5,4,7,2,3]=>[6,5,2,8,1,7,4,3]=>{{1,2,3,4,5,6,7,8}}=>0
[6,1,8,2,4,3,5,7]=>[8,1,6,3,2,5,4,7]=>{{1,2,3,4,5,6,7,8}}=>0
[1,6,8,2,5,3,4,7]=>[1,6,5,3,8,4,2,7]=>{{1},{2,3,4,5,6,7,8}}=>0
[8,7,3,5,1,4,6,2]=>[3,5,7,8,4,1,2,6]=>{{1,2,3,4,5,6,7,8}}=>0
[3,2,8,1,5,7,4,6]=>[2,5,3,1,7,8,6,4]=>{{1,2,4,5,6,7,8},{3}}=>5
[4,2,5,3,8,6,7,1]=>[2,6,4,1,5,7,8,3]=>{{1,2,3,4,6,7,8},{5}}=>3
[2,5,3,8,7,4,1,6]=>[3,2,8,5,7,1,6,4]=>{{1,3,4,5,6,7,8},{2}}=>6
[4,5,8,3,1,2,7,6]=>[7,5,4,1,3,2,8,6]=>{{1,2,3,4,5,6,7,8}}=>0
[1,4,6,3,7,5,2,8]=>[1,7,4,2,6,3,5,8]=>{{1},{2,3,4,5,6,7},{8}}=>0
[7,3,1,8,4,5,6,2]=>[3,8,2,7,1,4,5,6]=>{{1,2,3,4,5,6,7,8}}=>0
[5,4,2,7,3,8,6,1]=>[5,8,1,4,2,7,3,6]=>{{1,2,3,5,6,7,8},{4}}=>4
[8,5,1,6,3,2,4,7]=>[5,8,2,6,3,4,1,7]=>{{1,2,3,5,7,8},{4,6}}=>2
[8,1,5,4,6,7,3,2]=>[4,1,5,8,6,7,2,3]=>{{1,2,3,4,5,6,7,8}}=>0
[5,6,4,1,8,2,7,3]=>[6,4,7,3,5,2,8,1]=>{{1,2,3,4,6,7,8},{5}}=>3
[1,3,8,7,2,5,6,4]=>[1,7,3,8,4,2,5,6]=>{{1},{2,4,5,6,7,8},{3}}=>5
[8,4,1,2,7,6,5,3]=>[4,6,2,3,7,8,1,5]=>{{1,2,3,4,5,6,7,8}}=>0
[1,8,7,3,4,6,5,2]=>[1,6,7,2,3,8,4,5]=>{{1},{2,3,4,5,6,7,8}}=>0
[4,8,1,3,6,2,7,5]=>[6,4,2,1,7,5,8,3]=>{{1,2,3,4,5,6,7,8}}=>0
[4,8,1,6,2,5,3,7]=>[8,4,2,6,3,1,5,7]=>{{1,2,3,4,5,6,7,8}}=>0
[1,8,4,2,5,7,3,6]=>[1,4,5,3,7,8,6,2]=>{{1},{2,3,4,5,6,7,8}}=>0
[5,8,3,1,2,4,6,7]=>[5,3,8,2,4,1,6,7]=>{{1,2,3,4,5,6,7,8}}=>0
[1,5,8,7,2,4,3,6]=>[1,8,5,7,4,2,6,3]=>{{1},{2,3,4,5,6,7,8}}=>0
[8,7,1,3,2,5,4,6]=>[7,8,2,1,4,3,6,5]=>{{1,2,3,4,5,6,7,8}}=>0
[8,4,3,6,7,5,2,1]=>[3,4,8,6,7,1,2,5]=>{{1,2,3,4,5,6,7,8}}=>0
[6,7,5,2,8,4,3,1]=>[7,6,8,2,5,1,3,4]=>{{1,2,3,4,6,7,8},{5}}=>3
[6,8,4,3,2,7,5,1]=>[6,4,8,1,2,7,3,5]=>{{1,2,3,4,5,6,7,8}}=>0
[6,1,5,8,7,4,3,2]=>[7,1,8,5,6,2,3,4]=>{{1,2,3,4,5,6,7,8}}=>0
[6,1,8,5,7,4,3,2]=>[7,1,5,8,6,2,3,4]=>{{1,2,3,5,6,7},{4,8}}=>0
[5,3,1,6,4,8,2,7]=>[3,8,2,5,1,6,4,7]=>{{1,2,3,4,5,7,8},{6}}=>2
[4,7,5,3,2,8,1,6]=>[8,4,5,1,2,7,6,3]=>{{1,2,3,4,5,8},{6,7}}=>1
[3,8,6,7,2,5,4,1]=>[8,3,6,7,2,1,4,5]=>{{1,2,3,5,6,8},{4,7}}=>1
[5,8,1,2,7,4,3,6]=>[8,5,2,3,7,1,6,4]=>{{1,2,3,4,5,6,7,8}}=>0
[6,3,1,8,4,5,2,7]=>[3,8,2,6,1,4,5,7]=>{{1,2,3,5,7,8},{4,6}}=>2
[7,6,2,4,8,3,1,5]=>[4,7,1,8,6,3,5,2]=>{{1,2,3,4,5,6,7,8}}=>0
[6,5,8,1,4,3,7,2]=>[6,7,5,3,1,2,8,4]=>{{1,2,3,4,5,6,7,8}}=>0
[8,1,4,2,7,5,6,3]=>[4,1,7,3,8,2,5,6]=>{{1,2,3,4,5,6,7,8}}=>0
[8,6,3,5,2,1,7,4]=>[3,5,6,7,2,4,8,1]=>{{1,3,4,6,7,8},{2,5}}=>3
[6,8,3,1,2,5,4,7]=>[6,3,8,2,4,1,5,7]=>{{1,6},{2,3,4,5,7,8}}=>0
[6,8,4,3,5,1,7,2]=>[5,4,6,1,7,3,8,2]=>{{1,2,4,5,7,8},{3,6}}=>2
[1,4,7,3,6,8,2,5]=>[1,7,4,2,8,6,5,3]=>{{1},{2,3,4,5,7,8},{6}}=>2
[8,5,7,6,1,3,2,4]=>[5,8,6,7,4,2,3,1]=>{{1,2,3,4,5,6,7,8}}=>0
[2,6,1,3,8,5,4,7]=>[8,2,1,3,6,4,5,7]=>{{1,3,4,5,6,7,8},{2}}=>6
[6,4,8,2,1,7,3,5]=>[6,8,4,2,3,7,5,1]=>{{1,2,3,4,5,6,7,8}}=>0
[2,8,6,4,1,5,3,7]=>[4,2,6,8,3,1,5,7]=>{{1,3,4,5,6,7,8},{2}}=>6
[6,7,4,5,1,3,8,2]=>[5,4,8,6,3,1,7,2]=>{{1,2,3,4,5,6,8},{7}}=>1
[5,6,1,2,4,8,3,7]=>[8,5,2,3,1,6,4,7]=>{{1,2,3,4,5,7,8},{6}}=>2
[4,5,7,2,6,3,8,1]=>[8,5,4,2,6,1,7,3]=>{{1,2,3,4,5,6,8},{7}}=>1
[8,1,7,2,4,6,3,5]=>[6,1,7,3,2,8,5,4]=>{{1,2,3,4,5,6,7,8}}=>0
[1,6,2,3,7,5,8,4]=>[1,8,2,3,6,4,7,5]=>{{1},{2,3,4,5,6,8},{7}}=>1
[1,7,5,2,3,8,6,4]=>[1,5,8,3,4,7,2,6]=>{{1},{2,3,4,5,6,7,8}}=>0
[8,1,4,7,3,5,2,6]=>[4,1,8,7,2,3,6,5]=>{{1,2,3,4,5,6,7,8}}=>0
[5,1,8,3,2,4,7,6]=>[7,1,5,2,4,3,8,6]=>{{1,2,3,4,5,6,7,8}}=>0
[2,1,7,3,8,6,4,5]=>[2,1,7,3,6,8,5,4]=>{{1,2},{3,4,5,6,7,8}}=>0
[3,1,8,7,5,2,6,4]=>[5,1,3,7,8,4,2,6]=>{{1,2,4,5,6,7,8},{3}}=>5
[4,1,6,3,7,2,5,8]=>[7,1,4,2,6,5,3,8]=>{{1,2,3,4,7},{5,6},{8}}=>1
[5,6,1,4,7,2,3,8]=>[6,4,2,7,5,3,1,8]=>{{1,2,3,4,6,7},{5},{8}}=>2
[8,6,5,2,1,7,4,3]=>[5,6,8,2,4,7,1,3]=>{{1,2,4,5,6,7},{3,8}}=>0
[7,5,8,2,6,1,4,3]=>[6,8,5,2,7,4,1,3]=>{{1,2,3,4,5,6,7,8}}=>0
[4,1,3,6,8,5,2,7]=>[3,1,8,4,6,2,5,7]=>{{1,2,3,5,6,7,8},{4}}=>4
[3,8,2,1,6,7,5,4]=>[6,3,1,2,8,7,4,5]=>{{1,2,3,4,6,7},{5,8}}=>0
[2,8,3,1,7,5,6,4]=>[3,2,7,1,8,4,5,6]=>{{1,3,4,5,6,7,8},{2}}=>6
[2,6,4,7,8,5,3,1]=>[7,2,8,4,6,1,3,5]=>{{1,3,5,6,7,8},{2},{4}}=>9
[2,5,1,8,4,6,7,3]=>[6,2,1,5,3,7,8,4]=>{{1,3,4,5,6,7,8},{2}}=>6
[5,2,8,4,6,7,1,3]=>[2,5,4,8,6,7,3,1]=>{{1,2,3,4,5,6,7,8}}=>0
[6,5,8,3,4,2,1,7]=>[6,8,5,1,2,3,4,7]=>{{1,2,3,4,5,6,7,8}}=>0
[1,3,5,8,4,6,7,2]=>[1,6,3,5,2,7,8,4]=>{{1},{2,4,5,6,7,8},{3}}=>5
[7,6,8,1,4,2,3,5]=>[7,8,6,3,1,5,4,2]=>{{1,3,4,5,6,7},{2,8}}=>0
[4,6,7,2,3,8,1,5]=>[8,7,4,2,1,6,5,3]=>{{1,2,3,4,5,7,8},{6}}=>2
[6,1,5,8,4,7,3,2]=>[6,1,8,5,2,7,3,4]=>{{1,2,3,4,5,6,7,8}}=>0
[6,4,5,1,2,8,3,7]=>[4,8,5,3,2,6,1,7]=>{{1,2,3,4,5,7,8},{6}}=>2
[2,5,3,8,6,7,4,1]=>[3,2,8,5,6,7,1,4]=>{{1,3,4,5,6,7,8},{2}}=>6
[4,5,8,1,6,7,3,2]=>[8,5,4,3,6,7,1,2]=>{{1,2,5,6,7,8},{3,4}}=>4
[8,1,7,5,6,4,2,3]=>[5,1,6,8,7,2,4,3]=>{{1,2,3,4,5,6,7,8}}=>0
[8,6,1,5,3,7,2,4]=>[5,6,2,8,3,7,4,1]=>{{1,2,3,4,5,6,7,8}}=>0
[6,3,8,7,2,1,5,4]=>[6,8,3,7,2,5,1,4]=>{{1,2,4,5,6,7,8},{3}}=>5
[7,2,4,5,8,6,3,1]=>[2,4,7,6,5,8,1,3]=>{{1,2,3,4,6,7,8},{5}}=>3
[7,2,8,5,4,1,3,6]=>[2,7,5,8,1,4,6,3]=>{{1,2,3,4,5,6,7,8}}=>0
[7,4,5,2,8,1,6,3]=>[4,8,7,2,5,3,1,6]=>{{1,2,3,4,6,7,8},{5}}=>3
[7,6,3,2,8,4,5,1]=>[3,7,8,1,6,4,2,5]=>{{1,3,4,5,6,8},{2,7}}=>1
[7,2,4,6,3,8,5,1]=>[2,4,8,7,1,6,3,5]=>{{1,2,3,4,5,7,8},{6}}=>2
[3,7,2,5,8,6,4,1]=>[6,3,1,7,5,8,2,4]=>{{1,2,3,4,6,7,8},{5}}=>3
[4,8,5,1,7,6,3,2]=>[7,4,5,3,6,8,1,2]=>{{1,7},{2,3,4,5,6,8}}=>0
[6,8,2,1,3,4,7,5]=>[7,6,1,3,4,5,8,2]=>{{1,2,3,4,5,6,7,8}}=>0
[5,2,1,7,6,4,3,8]=>[2,7,1,5,6,3,4,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[7,4,8,3,6,5,1,2]=>[6,7,4,1,8,2,5,3]=>{{1,2,3,4,5,6,7,8}}=>0
[6,2,1,8,7,3,5,4]=>[2,8,1,6,7,5,3,4]=>{{1,2,3,4,5,6,7,8}}=>0
[5,2,1,7,6,3,4,8]=>[2,7,1,5,6,4,3,8]=>{{1,2,3,7},{4,5,6},{8}}=>1
[4,2,6,8,5,7,1,3]=>[2,6,5,4,8,7,3,1]=>{{1,2,3,5,6,7,8},{4}}=>4
[1,2,5,8,4,3,6,7]=>[1,2,8,5,3,4,6,7]=>{{1},{2},{3,4,5,6,7,8}}=>0
[1,5,8,2,6,4,3,7]=>[1,8,5,3,6,2,4,7]=>{{1},{2,3,4,5,6,7,8}}=>0
[3,5,2,7,6,8,4,1]=>[8,3,1,5,7,6,2,4]=>{{1,2,3,4,5,7,8},{6}}=>2
[3,2,5,7,4,8,6,1]=>[2,8,3,5,1,7,4,6]=>{{1,2,4,5,6,7,8},{3}}=>5
[3,5,7,8,4,2,6,1]=>[8,7,3,5,1,2,4,6]=>{{1,2,4,5,6,7,8},{3}}=>5
[6,1,8,4,3,5,2,7]=>[6,1,4,8,2,3,5,7]=>{{1,2,3,4,5,6,7,8}}=>0
[5,1,6,4,8,2,3,7]=>[6,1,4,8,5,3,2,7]=>{{1,2,3,4,6,7,8},{5}}=>3
[8,1,4,2,5,3,6,7]=>[4,1,5,3,8,2,6,7]=>{{1,2,3,4,5,6,7,8}}=>0
[2,8,4,1,5,3,6,7]=>[4,2,5,3,8,1,6,7]=>{{1,3,4,5,6,7,8},{2}}=>6
[4,1,8,3,5,2,6,7]=>[5,1,4,2,8,3,6,7]=>{{1,2,3,4,5,6,7,8}}=>0
[1,4,8,6,7,2,5,3]=>[1,8,4,6,7,5,2,3]=>{{1},{2,3,4,5,6,7,8}}=>0
[8,2,5,4,1,3,7,6]=>[2,4,5,7,3,1,8,6]=>{{1,2,4,6,7,8},{3,5}}=>3
[2,4,5,8,6,3,1,7]=>[8,2,5,4,6,1,3,7]=>{{1,3,5,6,7,8},{2},{4}}=>9
[4,6,7,5,1,8,3,2]=>[8,5,4,7,3,6,1,2]=>{{1,2,3,4,5,7,8},{6}}=>2
[2,5,7,8,6,1,4,3]=>[8,2,6,5,7,4,1,3]=>{{1,3,4,5,6,7,8},{2}}=>6
[4,6,7,2,1,5,3,8]=>[7,6,4,2,3,1,5,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[7,1,6,2,4,5,3,8]=>[6,1,7,3,2,4,5,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[5,6,8,7,1,3,2,4]=>[8,7,5,6,4,2,3,1]=>{{1,8},{2,3,4,5,6,7}}=>1
[1,5,3,4,8,2,6,7]=>[1,3,4,8,5,2,6,7]=>{{1},{2,3,4,6,7,8},{5}}=>3
[6,1,4,7,8,5,3,2]=>[7,1,8,4,6,2,3,5]=>{{1,2,3,5,6,7,8},{4}}=>4
[8,1,6,5,2,7,4,3]=>[5,1,6,8,4,7,2,3]=>{{1,2,3,4,5,6,7,8}}=>0
[4,5,8,2,3,7,6,1]=>[7,5,4,2,1,8,3,6]=>{{1,2,3,4,5,7},{6,8}}=>0
[5,6,2,7,4,8,3,1]=>[8,7,1,5,2,6,3,4]=>{{1,2,3,4,5,7,8},{6}}=>2
[1,7,3,2,4,8,6,5]=>[1,3,8,2,4,7,5,6]=>{{1},{2,3,4,5,6,7,8}}=>0
[1,7,5,3,8,6,2,4]=>[1,6,7,2,5,8,4,3]=>{{1},{2,3,4,6,7,8},{5}}=>3
[8,1,2,4,3,5,7,6]=>[4,1,2,7,3,5,8,6]=>{{1,2,3,4,5,6,7,8}}=>0
[2,3,8,4,1,5,7,6]=>[4,2,3,7,1,5,8,6]=>{{1,4,5,6,7,8},{2},{3}}=>10
[8,4,2,3,1,5,7,6]=>[4,7,1,2,3,5,8,6]=>{{1,2,3,4,5,6,7,8}}=>0
[8,2,3,4,1,5,7,6]=>[2,3,4,7,1,5,8,6]=>{{1,2,3,4,5,6,7,8}}=>0
[6,5,8,1,3,2,4,7]=>[6,8,5,3,2,4,1,7]=>{{1,2,3,4,5,6,7,8}}=>0
[2,1,8,5,3,4,6,7]=>[2,1,5,8,4,3,6,7]=>{{1,2},{3,4,5,6,7,8}}=>0
[8,4,1,3,2,5,6,7]=>[4,8,2,1,3,5,6,7]=>{{1,4},{2,3,5,6,7,8}}=>0
[8,6,1,2,3,5,4,7]=>[6,8,2,3,4,1,5,7]=>{{1,6},{2,3,4,5,7,8}}=>0
[7,6,8,1,4,5,3,2]=>[7,8,6,3,1,2,4,5]=>{{1,2,3,4,5,6,7,8}}=>0
[8,4,1,3,6,7,2,5]=>[4,6,2,1,8,7,5,3]=>{{1,4},{2,3,5,6,7,8}}=>0
[5,1,3,8,4,7,6,2]=>[3,1,7,5,2,8,4,6]=>{{1,2,3,4,5,7},{6,8}}=>0
[2,3,8,7,6,4,1,5]=>[6,2,3,7,8,4,5,1]=>{{1,4,5,6,7,8},{2},{3}}=>10
[2,1,7,4,8,5,3,6]=>[2,1,4,8,7,3,6,5]=>{{1,2},{3,4,5,6,7,8}}=>0
[8,1,7,3,2,5,4,6]=>[7,1,8,2,4,3,6,5]=>{{1,2,3,4,5,6,7,8}}=>0
[3,7,5,1,4,6,2,8]=>[6,3,5,2,1,7,4,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[8,6,4,7,5,1,3,2]=>[4,6,7,5,8,3,1,2]=>{{1,2,3,4,5,6,7,8}}=>0
[6,2,4,7,8,5,3,1]=>[2,7,8,4,6,1,3,5]=>{{1,2,3,5,6,7,8},{4}}=>4
[3,5,2,1,7,8,6,4]=>[8,3,1,2,5,7,4,6]=>{{1,2,3,4,6,7,8},{5}}=>3
[4,2,7,8,6,5,1,3]=>[2,7,6,4,8,1,5,3]=>{{1,2,3,5,6,7,8},{4}}=>4
[6,4,8,1,2,3,7,5]=>[6,7,4,3,2,5,8,1]=>{{1,2,5,6,7,8},{3,4}}=>4
[7,1,8,3,2,6,5,4]=>[7,1,6,2,4,8,3,5]=>{{1,2,3,4,5,6,7,8}}=>0
[6,3,8,5,7,1,4,2]=>[5,7,3,8,6,4,1,2]=>{{1,2,4,5,6,7,8},{3}}=>5
[2,4,3,8,5,7,1,6]=>[3,2,5,4,7,8,6,1]=>{{1,3,5,6,7,8},{2},{4}}=>9
[4,6,5,1,3,8,7,2]=>[7,4,5,3,1,6,8,2]=>{{1,2,3,4,5,7,8},{6}}=>2
[5,4,6,2,1,8,7,3]=>[5,7,4,2,3,6,8,1]=>{{1,2,3,4,5,7,8},{6}}=>2
[3,2,8,5,1,4,6,7]=>[2,5,3,8,4,1,6,7]=>{{1,2,4,5,6,7,8},{3}}=>5
[1,4,7,5,8,6,2,3]=>[1,7,4,6,5,8,3,2]=>{{1},{2,3,4,6,7,8},{5}}=>3
[8,5,7,6,3,4,1,2]=>[5,8,6,7,2,1,4,3]=>{{1,2,3,5,6,8},{4,7}}=>1
[1,4,7,6,8,5,2,3]=>[1,8,4,7,6,2,5,3]=>{{1},{2,3,4,5,6,7,8}}=>0
[4,6,2,1,5,8,3,7]=>[5,4,1,3,8,6,2,7]=>{{1,2,3,4,5,7,8},{6}}=>2
[2,3,5,8,7,4,1,6]=>[8,2,3,5,7,1,6,4]=>{{1,4,5,6,7,8},{2},{3}}=>10
[8,6,1,5,4,2,7,3]=>[5,6,2,7,1,4,8,3]=>{{1,5},{2,3,4,6,7,8}}=>0
[2,3,7,8,1,5,4,6]=>[8,2,3,7,4,1,6,5]=>{{1,4,5,6,7,8},{2},{3}}=>10
[3,7,8,5,1,4,6,2]=>[7,5,3,8,4,1,2,6]=>{{1,2,4,5,6,7,8},{3}}=>5
[8,5,3,6,4,2,1,7]=>[3,5,8,6,1,2,4,7]=>{{1,2,3,4,5,6,7,8}}=>0
[2,3,7,8,5,4,6,1]=>[7,2,3,5,8,1,4,6]=>{{1,4,5,6,7,8},{2},{3}}=>10
[5,1,4,8,7,3,6,2]=>[5,1,8,4,7,2,3,6]=>{{1,2,3,5,6,7,8},{4}}=>4
[4,3,1,8,7,5,6,2]=>[3,7,2,4,8,1,5,6]=>{{1,2,3,5,6,7,8},{4}}=>4
[7,5,4,1,6,3,8,2]=>[4,5,8,3,6,1,7,2]=>{{1,2,3,4,5,6,8},{7}}=>1
[7,2,1,3,5,4,6,8]=>[2,5,1,3,7,4,6,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[4,3,6,1,8,5,2,7]=>[4,8,3,2,6,1,5,7]=>{{1,2,4,5,6,7,8},{3}}=>5
[4,5,7,6,3,1,8,2]=>[8,6,4,5,1,3,7,2]=>{{1,2,3,4,5,6,8},{7}}=>1
[5,4,1,8,7,3,6,2]=>[5,8,2,4,7,1,3,6]=>{{1,2,3,5,6,7,8},{4}}=>4
[6,2,4,7,5,3,1,8]=>[2,5,6,4,7,1,3,8]=>{{1,2,3,5,6,7},{4},{8}}=>3
[1,6,3,8,4,7,2,5]=>[1,3,8,6,2,7,5,4]=>{{1},{2,3,4,5,6,7,8}}=>0
[1,3,8,5,6,7,2,4]=>[1,5,3,8,6,7,4,2]=>{{1},{2,4,5,6,7,8},{3}}=>5
[5,8,4,1,3,6,7,2]=>[5,4,6,3,1,7,8,2]=>{{1,5},{2,3,4,6,7,8}}=>0
[5,4,1,2,7,6,3,8]=>[4,6,2,3,5,7,1,8]=>{{1,2,3,4,6,7},{5},{8}}=>2
[6,1,2,4,3,8,7,5]=>[4,1,2,7,3,6,8,5]=>{{1,2,3,4,5,7,8},{6}}=>2
[8,4,3,1,2,6,5,7]=>[3,4,6,2,1,8,5,7]=>{{1,3,5,6,7,8},{2,4}}=>4
[8,6,2,3,5,4,1,7]=>[5,6,1,2,8,3,4,7]=>{{1,2,3,4,5,6,7,8}}=>0
[8,4,3,7,2,5,6,1]=>[3,4,8,7,1,2,5,6]=>{{1,2,3,4,5,6,7,8}}=>0
[4,3,8,1,7,5,6,2]=>[4,7,3,2,8,1,5,6]=>{{1,2,4,5,6,7,8},{3}}=>5
[8,1,3,7,6,4,5,2]=>[3,1,6,7,8,4,2,5]=>{{1,2,3,4,6,7},{5,8}}=>0
[8,3,7,6,2,4,5,1]=>[3,7,6,8,2,4,1,5]=>{{1,2,3,4,5,6,7,8}}=>0
[8,7,2,3,6,1,5,4]=>[6,7,1,2,8,5,3,4]=>{{1,2,3,4,5,6,7,8}}=>0
[5,1,8,4,2,3,7,6]=>[5,1,4,7,3,2,8,6]=>{{1,2,3,4,5,6,7,8}}=>0
[8,2,4,7,3,1,6,5]=>[2,4,8,7,1,5,3,6]=>{{1,2,3,4,5,6,7,8}}=>0
[8,4,7,2,3,6,5,1]=>[4,7,6,2,1,8,3,5]=>{{1,2,3,4,5,6,7,8}}=>0
[8,2,4,7,3,6,5,1]=>[2,4,7,6,1,8,3,5]=>{{1,2,4,5,6,8},{3,7}}=>1
[8,1,2,7,6,4,5,3]=>[6,1,2,7,8,4,3,5]=>{{1,2,3,4,6,7},{5,8}}=>0
[8,1,4,7,3,6,5,2]=>[4,1,7,6,2,8,3,5]=>{{1,2,4,5,6,8},{3,7}}=>1
[1,8,2,3,5,6,4,7]=>[1,5,2,3,6,8,4,7]=>{{1},{2,3,4,5,6,7,8}}=>0
[4,2,8,3,7,6,1,5]=>[2,6,4,1,7,8,5,3]=>{{1,2,3,4,6,8},{5,7}}=>1
[6,3,5,2,8,4,7,1]=>[3,7,6,1,5,2,8,4]=>{{1,2,3,4,6,7,8},{5}}=>3
[5,4,8,6,3,7,2,1]=>[6,8,4,5,1,7,2,3]=>{{1,2,3,4,5,6,7,8}}=>0
[3,4,8,5,6,2,1,7]=>[8,4,3,5,6,1,2,7]=>{{1,2,4,5,6,7,8},{3}}=>5
[1,7,6,2,5,4,8,3]=>[1,5,6,3,8,2,7,4]=>{{1},{2,3,4,5,6,8},{7}}=>1
[8,1,6,4,3,5,2,7]=>[4,1,6,8,2,3,5,7]=>{{1,2,4,5,7,8},{3,6}}=>2
[3,8,6,4,5,2,7,1]=>[5,3,4,6,7,1,8,2]=>{{1,2,3,4,5,6,7,8}}=>0
[4,5,8,6,2,3,7,1]=>[7,6,4,5,2,1,8,3]=>{{1,2,3,4,5,6,7,8}}=>0
[4,6,8,1,2,5,7,3]=>[7,6,4,3,2,1,8,5]=>{{1,2,5,6,7,8},{3,4}}=>4
[3,7,4,5,2,8,6,1]=>[8,3,4,5,1,7,2,6]=>{{1,2,3,4,5,6,7,8}}=>0
[3,7,8,4,6,1,5,2]=>[6,4,3,7,8,5,1,2]=>{{1,2,4,5,6,7,8},{3}}=>5
[1,7,4,5,2,6,8,3]=>[1,4,6,5,3,8,7,2]=>{{1},{2,3,4,5,6,8},{7}}=>1
[3,1,5,8,4,6,2,7]=>[6,1,3,5,2,8,4,7]=>{{1,2,4,5,6,7,8},{3}}=>5
[1,4,8,3,5,6,2,7]=>[1,5,4,2,6,8,3,7]=>{{1},{2,3,4,5,6,7,8}}=>0
[1,8,7,4,2,3,6,5]=>[1,4,7,8,3,5,2,6]=>{{1},{2,3,4,5,6,7,8}}=>0
[4,3,1,8,5,7,2,6]=>[3,5,2,4,7,8,6,1]=>{{1,2,3,5,6,7,8},{4}}=>4
[3,7,2,4,5,8,1,6]=>[4,3,1,5,8,7,6,2]=>{{1,2,3,4,5,8},{6,7}}=>1
[8,4,7,2,3,5,6,1]=>[4,8,7,2,1,3,5,6]=>{{1,2,3,4,5,6,7,8}}=>0
[5,7,1,8,4,3,6,2]=>[8,7,2,5,1,3,4,6]=>{{1,2,3,4,5,6,7,8}}=>0
[5,4,8,7,6,2,3,1]=>[6,8,4,5,7,2,1,3]=>{{1,2,3,4,5,6,7,8}}=>0
[8,4,6,3,1,5,2,7]=>[4,8,6,1,3,2,5,7]=>{{1,4},{2,3,5,6,7,8}}=>0
[3,7,6,2,5,4,1,8]=>[6,3,5,1,7,2,4,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[8,4,5,1,2,7,6,3]=>[4,7,5,3,2,8,1,6]=>{{1,2,3,4,5,7},{6,8}}=>0
[7,5,2,4,1,3,8,6]=>[4,5,1,8,3,2,7,6]=>{{1,2,3,4,5,6,8},{7}}=>1
[7,2,6,8,5,1,3,4]=>[2,6,7,5,8,4,3,1]=>{{1,2,4,5,6,8},{3,7}}=>1
[8,6,5,4,1,3,7,2]=>[4,5,6,7,3,1,8,2]=>{{1,2,3,4,5,6,7,8}}=>0
[8,2,3,4,1,6,7,5]=>[2,3,4,6,1,7,8,5]=>{{1,2,3,4,5,6,7,8}}=>0
[6,5,1,4,3,8,7,2]=>[4,5,2,7,1,6,8,3]=>{{1,2,3,4,5,7,8},{6}}=>2
[1,7,2,4,5,8,6,3]=>[1,4,2,5,8,7,3,6]=>{{1},{2,3,4,5,6,7,8}}=>0
[1,4,6,8,7,2,5,3]=>[1,8,6,4,7,5,2,3]=>{{1},{2,3,5,6,7,8},{4}}=>4
[1,7,3,8,4,2,5,6]=>[1,3,8,7,2,5,6,4]=>{{1},{2,3,4,5,6,7,8}}=>0
[8,4,3,1,7,6,5,2]=>[3,4,6,2,7,8,1,5]=>{{1,3,5,6,7,8},{2,4}}=>4
[7,2,1,4,5,6,3,8]=>[2,4,1,5,6,7,3,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[1,5,6,7,3,4,2,8]=>[1,7,6,5,3,2,4,8]=>{{1},{2,3,4,5,6,7},{8}}=>0
[1,6,7,8,2,4,5,3]=>[1,8,7,6,4,3,2,5]=>{{1},{2,3,4,5,6,7,8}}=>0
[1,3,5,8,7,2,6,4]=>[1,8,3,5,7,4,2,6]=>{{1},{2,4,5,6,7,8},{3}}=>5
[6,4,1,8,5,7,3,2]=>[5,6,2,4,8,7,1,3]=>{{1,2,3,5,6,7,8},{4}}=>4
[7,2,5,6,1,3,8,4]=>[2,5,8,6,4,3,7,1]=>{{1,2,3,4,5,6,8},{7}}=>1
[6,4,1,2,5,8,3,7]=>[4,5,2,3,8,6,1,7]=>{{1,2,3,4,5,7,8},{6}}=>2
[6,8,4,1,5,7,3,2]=>[5,4,6,3,8,7,1,2]=>{{1,2,3,4,5,6,7,8}}=>0
[5,4,8,7,3,6,2,1]=>[6,7,4,5,1,8,2,3]=>{{1,3,4,5,6,8},{2,7}}=>1
[8,2,7,4,5,3,6,1]=>[2,4,5,7,8,1,3,6]=>{{1,2,3,4,5,6,7,8}}=>0
[3,2,8,4,7,5,6,1]=>[2,4,3,7,8,1,5,6]=>{{1,2,4,5,6,7,8},{3}}=>5
[1,6,5,7,3,8,2,4]=>[1,7,8,5,3,6,4,2]=>{{1},{2,3,4,5,7,8},{6}}=>2
[6,4,2,3,8,7,5,1]=>[4,8,1,2,6,7,3,5]=>{{1,2,3,4,5,6,7,8}}=>0
[6,5,1,3,8,4,2,7]=>[6,8,2,1,5,3,4,7]=>{{1,2,3,4,6,7,8},{5}}=>3
[5,1,3,2,7,8,6,4]=>[3,1,8,2,5,7,4,6]=>{{1,2,3,4,6,7,8},{5}}=>3
[5,3,4,1,7,8,6,2]=>[3,8,4,2,5,7,1,6]=>{{1,2,3,4,6,7,8},{5}}=>3
[4,7,6,5,8,2,3,1]=>[8,4,6,7,5,2,1,3]=>{{1,2,3,4,6,7,8},{5}}=>3
[4,1,8,3,2,6,5,7]=>[6,1,4,2,3,8,5,7]=>{{1,2,3,4,5,6,7,8}}=>0
[5,8,4,1,3,7,2,6]=>[5,4,7,3,1,8,6,2]=>{{1,5},{2,3,4,6,7,8}}=>0
[4,8,2,6,5,3,7,1]=>[6,4,1,5,7,2,8,3]=>{{1,2,3,4,5,6,7,8}}=>0
[5,8,6,4,7,3,2,1]=>[7,4,5,8,6,1,2,3]=>{{1,2,3,4,5,6,7,8}}=>0
[8,5,2,3,1,6,7,4]=>[5,6,1,2,4,7,8,3]=>{{1,2,3,4,5,6,7,8}}=>0
[2,8,6,3,5,1,7,4]=>[5,2,6,1,7,4,8,3]=>{{1,3,4,5,6,7,8},{2}}=>6
[3,8,6,2,5,4,7,1]=>[6,3,5,1,7,2,8,4]=>{{1,2,3,4,5,6,7,8}}=>0
[3,8,4,6,5,2,7,1]=>[6,3,4,5,7,1,8,2]=>{{1,6},{2,3,4,5,7,8}}=>0
[6,2,8,5,4,1,3,7]=>[2,6,5,8,1,4,3,7]=>{{1,2,3,4,5,6,7,8}}=>0
[8,5,4,6,2,7,1,3]=>[4,6,8,5,2,7,3,1]=>{{1,2,3,4,5,6,7,8}}=>0
[6,8,5,4,7,2,3,1]=>[5,4,7,8,6,2,1,3]=>{{1,2,3,4,5,6,7,8}}=>0
[4,6,8,1,5,2,7,3]=>[6,5,4,3,7,2,8,1]=>{{1,2,5,6,7,8},{3,4}}=>4
[5,6,2,8,1,7,3,4]=>[8,6,1,5,4,7,3,2]=>{{1,2,3,6,7,8},{4,5}}=>3
[5,2,3,8,1,4,6,7]=>[2,3,8,5,4,1,6,7]=>{{1,2,3,6,7,8},{4,5}}=>3
[7,3,6,4,8,2,5,1]=>[3,7,4,8,6,2,1,5]=>{{1,2,3,4,5,6,7,8}}=>0
[2,5,8,6,4,3,7,1]=>[7,2,5,6,1,3,8,4]=>{{1,3,4,5,6,7,8},{2}}=>6
[8,3,7,2,4,5,6,1]=>[3,8,7,1,2,4,5,6]=>{{1,2,3,4,5,6,7,8}}=>0
[8,1,4,5,7,3,6,2]=>[4,1,8,5,7,2,3,6]=>{{1,2,3,4,5,6,7,8}}=>0
[5,6,3,4,2,8,7,1]=>[4,3,5,7,1,6,8,2]=>{{1,2,3,4,5,7,8},{6}}=>2
[4,6,1,3,5,7,2,8]=>[5,4,2,1,7,6,3,8]=>{{1,2,3,4,5,7},{6},{8}}=>1
[4,1,6,8,5,2,3,7]=>[6,1,5,4,8,3,2,7]=>{{1,2,3,5,6,7,8},{4}}=>4
[4,5,2,8,6,7,1,3]=>[8,5,1,4,6,7,3,2]=>{{1,2,3,5,6,7,8},{4}}=>4
[1,5,8,2,4,3,7,6]=>[1,7,5,3,2,4,8,6]=>{{1},{2,3,4,5,6,7,8}}=>0
[5,4,7,8,3,6,1,2]=>[6,7,5,4,1,8,3,2]=>{{1,2,3,5,6,7,8},{4}}=>4
[8,6,2,7,3,4,5,1]=>[6,8,1,7,3,4,2,5]=>{{1,2,3,4,5,6,7,8}}=>0
[1,5,6,7,4,2,3,8]=>[1,7,6,5,2,4,3,8]=>{{1},{2,3,4,5,6,7},{8}}=>0
[5,1,6,7,3,4,2,8]=>[7,1,6,5,3,2,4,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[6,8,5,1,7,4,2,3]=>[7,5,8,3,6,1,4,2]=>{{1,2,3,4,5,6,7,8}}=>0
[8,4,2,3,5,7,6,1]=>[4,5,1,2,7,8,3,6]=>{{1,2,3,4,5,7},{6,8}}=>0
[6,2,7,3,8,1,4,5]=>[2,8,7,1,6,5,4,3]=>{{1,2,3,4,7,8},{5,6}}=>2
[7,3,6,8,4,1,2,5]=>[3,8,7,6,1,5,4,2]=>{{1,3,4,5,6,7},{2,8}}=>0
[6,4,2,3,7,5,8,1]=>[4,8,1,2,6,3,7,5]=>{{1,2,3,4,5,6,8},{7}}=>1
[7,1,2,8,4,6,5,3]=>[7,1,2,6,3,8,4,5]=>{{1,2,3,4,5,6,7,8}}=>0
[1,4,3,6,8,5,2,7]=>[1,3,8,4,6,2,5,7]=>{{1},{2,3,5,6,7,8},{4}}=>4
[8,5,7,1,4,2,6,3]=>[5,8,7,3,1,4,2,6]=>{{1,5},{2,3,4,6,7,8}}=>0
[4,7,1,5,6,3,2,8]=>[7,4,2,5,6,1,3,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[4,6,8,2,1,5,3,7]=>[8,6,4,2,3,1,5,7]=>{{1,2,3,4,5,6,7,8}}=>0
[4,5,7,3,6,1,2,8]=>[7,5,4,1,6,3,2,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[4,2,7,8,3,6,5,1]=>[2,7,6,4,1,8,3,5]=>{{1,2,3,5,6,7,8},{4}}=>4
[5,6,3,2,8,4,7,1]=>[6,3,7,1,5,2,8,4]=>{{1,2,3,4,6,7,8},{5}}=>3
[5,6,2,8,3,4,7,1]=>[7,6,1,5,3,2,8,4]=>{{1,3,4,5,7,8},{2,6}}=>2
[4,8,2,7,5,3,1,6]=>[7,4,1,5,8,2,6,3]=>{{1,2,3,4,5,6,7,8}}=>0
[3,5,8,1,7,4,2,6]=>[8,5,3,2,7,1,6,4]=>{{1,2,4,5,6,7,8},{3}}=>5
[5,8,6,1,7,2,3,4]=>[8,5,7,3,6,4,2,1]=>{{1,8},{2,3,4,5,6,7}}=>1
[4,2,8,7,3,6,5,1]=>[2,7,4,6,1,8,3,5]=>{{1,2,3,4,5,6,7,8}}=>0
[4,6,7,8,2,1,5,3]=>[8,7,6,4,2,5,1,3]=>{{1,2,3,5,6,7,8},{4}}=>4
[8,7,5,1,6,3,2,4]=>[5,6,8,3,7,2,4,1]=>{{1,3,4,5,7,8},{2,6}}=>2
[7,8,6,2,3,5,1,4]=>[7,6,8,2,3,1,5,4]=>{{1,2,3,4,5,6,7,8}}=>0
[2,8,4,6,7,3,5,1]=>[4,2,8,6,7,3,1,5]=>{{1,3,4,5,6,7,8},{2}}=>6
[8,4,6,7,3,5,2,1]=>[4,8,7,6,1,2,3,5]=>{{1,2,4,5,6,8},{3,7}}=>1
[8,4,7,3,5,6,2,1]=>[4,6,5,1,7,8,2,3]=>{{1,4},{2,3,5,6,7,8}}=>0
[3,6,4,2,8,1,7,5]=>[7,3,4,1,6,5,8,2]=>{{1,2,3,4,7,8},{5,6}}=>2
[4,8,5,3,2,7,1,6]=>[7,4,5,1,2,8,6,3]=>{{1,2,3,4,5,6,7,8}}=>0
[5,7,8,6,4,2,3,1]=>[8,6,5,7,1,3,2,4]=>{{1,2,3,4,5,6,7,8}}=>0
[6,8,7,5,1,3,2,4]=>[7,5,6,8,4,2,3,1]=>{{1,2,3,4,5,6,7,8}}=>0
[5,7,6,8,3,2,4,1]=>[8,6,7,5,2,3,1,4]=>{{1,2,3,4,5,6,7,8}}=>0
[2,4,8,5,7,3,1,6]=>[8,2,4,5,7,1,6,3]=>{{1,3,4,5,6,7,8},{2}}=>6
[8,3,1,4,6,2,7,5]=>[3,4,2,6,7,5,8,1]=>{{1,2,3,4,5,6,7,8}}=>0
[7,2,6,4,5,8,1,3]=>[2,4,5,7,8,6,3,1]=>{{1,2,3,4,5,7,8},{6}}=>2
[7,1,3,8,2,6,4,5]=>[3,1,7,6,4,8,5,2]=>{{1,2,3,4,5,6,7,8}}=>0
[6,2,5,3,4,7,1,8]=>[2,5,7,1,3,6,4,8]=>{{1,2,3,4,5,7},{6},{8}}=>1
[6,2,8,3,4,5,1,7]=>[2,8,6,1,3,4,5,7]=>{{1,2,3,4,5,6,7,8}}=>0
[8,7,3,2,5,1,6,4]=>[3,5,7,1,8,4,2,6]=>{{1,2,3,4,5,6,7,8}}=>0
[4,5,7,2,8,3,1,6]=>[8,7,4,2,5,1,6,3]=>{{1,2,3,4,6,7,8},{5}}=>3
[8,3,6,2,7,5,4,1]=>[3,8,6,1,7,2,4,5]=>{{1,2,3,4,5,6,7,8}}=>0
[8,4,2,6,5,3,7,1]=>[4,6,1,5,7,2,8,3]=>{{1,3,4,5,7,8},{2,6}}=>2
[8,5,1,2,4,3,6,7]=>[5,8,2,3,1,4,6,7]=>{{1,5},{2,3,4,6,7,8}}=>0
[5,8,4,1,2,3,6,7]=>[5,4,8,3,2,1,6,7]=>{{1,2,3,4,5,6,7,8}}=>0
[7,8,1,2,5,3,4,6]=>[7,5,2,3,8,4,6,1]=>{{1,2,3,4,5,6,7,8}}=>0
[8,4,7,2,1,6,3,5]=>[4,7,6,2,3,8,5,1]=>{{1,2,3,4,5,6,7,8}}=>0
[7,4,2,5,3,6,1,8]=>[4,6,1,5,2,7,3,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[8,4,2,5,3,6,7,1]=>[4,6,1,5,2,7,8,3]=>{{1,2,3,4,5,6,7,8}}=>0
[6,8,3,2,4,1,5,7]=>[6,3,8,1,2,5,4,7]=>{{1,2,3,4,5,6,7,8}}=>0
[5,4,8,2,1,3,6,7]=>[5,8,4,2,3,1,6,7]=>{{1,2,3,4,5,6,7,8}}=>0
[1,4,8,3,2,6,5,7]=>[1,6,4,2,3,8,5,7]=>{{1},{2,3,4,5,6,7,8}}=>0
[1,3,8,4,2,7,5,6]=>[1,4,3,7,2,8,6,5]=>{{1},{2,4,5,6,7,8},{3}}=>5
[7,2,8,3,1,4,5,6]=>[2,8,7,1,4,5,6,3]=>{{1,2,3,4,5,6,7,8}}=>0
[7,6,1,8,2,5,4,3]=>[7,8,2,6,4,1,3,5]=>{{1,2,3,4,5,6,7,8}}=>0
[5,8,4,2,1,6,3,7]=>[5,4,6,2,3,8,1,7]=>{{1,3,5,6,7,8},{2,4}}=>4
[7,2,8,4,3,6,1,5]=>[2,6,4,7,1,8,5,3]=>{{1,2,3,4,5,6,7,8}}=>0
[1,7,5,4,8,6,2,3]=>[1,4,6,7,5,8,3,2]=>{{1},{2,3,4,6,7,8},{5}}=>3
[6,3,1,5,7,2,4,8]=>[3,6,2,7,5,4,1,8]=>{{1,2,3,4,6,7},{5},{8}}=>2
[5,2,1,4,8,6,7,3]=>[2,4,1,6,5,7,8,3]=>{{1,2,3,4,6,7,8},{5}}=>3
[4,5,8,3,2,1,7,6]=>[7,5,4,1,2,3,8,6]=>{{1,3,4,6,7,8},{2,5}}=>3
[4,7,8,3,5,1,6,2]=>[7,5,4,1,8,3,2,6]=>{{1,2,3,4,5,6,7,8}}=>0
[4,7,1,3,5,6,2,8]=>[5,4,2,1,6,7,3,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[4,8,3,2,1,6,7,5]=>[4,3,6,1,2,7,8,5]=>{{1,4},{2,3,5,6,7,8}}=>0
[7,1,3,4,5,6,2,8]=>[3,1,4,5,6,7,2,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[7,5,3,6,4,2,1,8]=>[3,5,7,6,1,2,4,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[6,1,5,7,3,8,2,4]=>[7,1,8,5,3,6,4,2]=>{{1,2,3,4,5,7,8},{6}}=>2
[4,8,2,5,1,6,3,7]=>[6,4,1,5,3,8,2,7]=>{{1,2,3,4,5,6,7,8}}=>0
[7,3,6,8,4,5,2,1]=>[3,8,7,6,1,2,4,5]=>{{1,2,3,4,5,6,7,8}}=>0
[5,6,2,8,3,1,7,4]=>[7,6,1,5,3,4,8,2]=>{{1,2,3,4,5,6,7,8}}=>0
[5,3,1,4,8,6,2,7]=>[3,4,2,6,5,8,1,7]=>{{1,2,3,4,6,7,8},{5}}=>3
[8,1,5,7,6,3,2,4]=>[5,1,8,6,7,3,4,2]=>{{1,2,3,4,5,6,7,8}}=>0
[7,4,8,3,1,6,5,2]=>[6,7,4,1,3,8,2,5]=>{{1,3,4,5,6,8},{2,7}}=>1
[6,8,4,7,1,2,5,3]=>[7,4,8,6,3,5,1,2]=>{{1,7},{2,3,4,5,6,8}}=>0
[1,8,7,2,5,6,3,4]=>[1,5,6,3,7,8,4,2]=>{{1},{2,3,4,5,6,7,8}}=>0
[7,2,4,1,8,5,3,6]=>[2,4,8,3,7,1,6,5]=>{{1,2,3,4,5,6,7,8}}=>0
[4,7,2,6,1,8,3,5]=>[8,4,1,7,3,6,5,2]=>{{1,2,3,4,5,7,8},{6}}=>2
[7,5,3,2,1,6,8,4]=>[3,5,6,1,4,8,7,2]=>{{1,2,3,4,5,6,8},{7}}=>1
[4,5,1,3,8,2,6,7]=>[8,4,2,1,5,3,6,7]=>{{1,2,3,4,6,7,8},{5}}=>3
[6,2,1,7,4,3,8,5]=>[2,8,1,6,3,5,7,4]=>{{1,2,3,4,5,6,8},{7}}=>1
[3,6,5,4,1,7,2,8]=>[5,3,4,7,2,6,1,8]=>{{1,2,3,4,5,7},{6},{8}}=>1
[8,7,5,4,6,1,3,2]=>[4,5,6,8,7,3,1,2]=>{{1,2,4,5,7,8},{3,6}}=>2
[1,8,4,7,2,3,5,6]=>[1,4,8,7,3,5,6,2]=>{{1},{2,3,4,5,6,7,8}}=>0
[7,1,5,6,2,3,4,8]=>[5,1,7,6,4,3,2,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[3,7,8,2,1,4,5,6]=>[8,7,3,1,4,5,6,2]=>{{1,2,4,5,6,7,8},{3}}=>5
[7,5,1,2,3,8,4,6]=>[5,8,2,3,4,7,6,1]=>{{1,2,3,4,5,8},{6,7}}=>1
[4,2,3,6,8,5,7,1]=>[2,3,7,4,6,1,8,5]=>{{1,2,3,5,6,7,8},{4}}=>4
[7,3,8,4,5,1,2,6]=>[4,5,3,7,8,2,6,1]=>{{1,2,4,5,6,7,8},{3}}=>5
[7,8,6,2,1,4,3,5]=>[7,6,8,2,4,3,5,1]=>{{1,2,3,4,5,6,7,8}}=>0
[7,8,6,3,1,2,5,4]=>[7,6,8,1,4,5,2,3]=>{{1,2,4,5,6,7},{3,8}}=>0
[5,2,8,4,7,1,3,6]=>[2,5,4,8,7,3,6,1]=>{{1,2,3,4,5,6,7,8}}=>0
[5,1,8,2,4,6,3,7]=>[6,1,5,3,2,8,4,7]=>{{1,2,3,4,5,6,7,8}}=>0
[6,8,2,1,4,5,3,7]=>[8,6,1,3,2,4,5,7]=>{{1,2,3,4,5,6,7,8}}=>0
[6,8,2,1,4,5,7,3]=>[7,6,1,3,2,4,8,5]=>{{1,2,3,4,5,6,7,8}}=>0
[7,1,4,5,8,3,6,2]=>[4,1,8,7,5,2,3,6]=>{{1,2,3,4,6,7,8},{5}}=>3
[4,6,3,5,7,1,2,8]=>[4,3,7,6,5,2,1,8]=>{{1,2,3,4,6,7},{5},{8}}=>2
[4,7,2,5,6,8,1,3]=>[8,4,1,5,7,6,3,2]=>{{1,2,3,4,5,7,8},{6}}=>2
[4,8,2,5,6,7,1,3]=>[8,4,1,5,6,7,3,2]=>{{1,2,3,4,5,6,7,8}}=>0
[1,5,7,2,6,4,8,3]=>[1,8,5,3,6,2,7,4]=>{{1},{2,3,4,5,6,8},{7}}=>1
[7,2,4,6,1,8,3,5]=>[2,4,8,7,3,6,5,1]=>{{1,2,3,4,5,7,8},{6}}=>2
[1,2,7,8,3,5,4,6]=>[1,2,8,7,4,3,6,5]=>{{1},{2},{3,4,5,6,7,8}}=>0
[1,7,6,2,8,5,4,3]=>[1,7,8,3,6,2,4,5]=>{{1},{2,3,4,5,6,7,8}}=>0
[1,2,7,8,3,4,6,5]=>[1,2,8,7,4,5,3,6]=>{{1},{2},{3,4,5,6,7,8}}=>0
[8,7,3,6,1,4,2,5]=>[3,6,7,8,4,2,5,1]=>{{1,3,4,5,7,8},{2,6}}=>2
[7,5,6,1,3,4,8,2]=>[5,8,6,3,2,1,7,4]=>{{1,2,3,4,5,6,8},{7}}=>1
[7,2,5,1,3,6,8,4]=>[2,5,6,3,4,8,7,1]=>{{1,2,3,4,5,6,8},{7}}=>1
[8,4,7,3,1,2,6,5]=>[4,8,7,1,3,5,2,6]=>{{1,4},{2,3,5,6,7,8}}=>0
[5,7,2,4,8,6,1,3]=>[6,4,1,7,5,8,3,2]=>{{1,2,3,4,6,7,8},{5}}=>3
[7,2,8,3,5,6,1,4]=>[2,6,5,1,7,8,4,3]=>{{1,2,3,4,5,6,7,8}}=>0
[1,7,3,4,8,5,2,6]=>[1,3,4,8,7,2,6,5]=>{{1},{2,3,4,5,6,7,8}}=>0
[7,2,8,4,5,3,1,6]=>[2,5,4,7,8,1,6,3]=>{{1,2,3,4,5,6,7,8}}=>0
[1,3,8,4,2,5,7,6]=>[1,4,3,7,2,5,8,6]=>{{1},{2,4,5,6,7,8},{3}}=>5
[1,8,4,6,7,2,3,5]=>[1,4,8,6,7,5,3,2]=>{{1},{2,3,4,5,6,7,8}}=>0
[5,7,1,6,4,8,3,2]=>[8,5,2,7,1,6,3,4]=>{{1,2,3,4,5,7,8},{6}}=>2
[7,4,5,8,1,3,6,2]=>[5,8,7,4,3,1,2,6]=>{{1,2,3,5,6,7,8},{4}}=>4
[1,4,6,3,2,8,5,7]=>[1,8,4,2,3,6,5,7]=>{{1},{2,3,4,5,7,8},{6}}=>2
[8,5,6,4,1,7,3,2]=>[4,6,5,8,3,7,1,2]=>{{1,2,4,6,7,8},{3,5}}=>3
[7,8,3,1,6,4,5,2]=>[6,3,7,2,8,4,1,5]=>{{1,2,3,4,6,7},{5,8}}=>0
[5,8,2,6,3,1,7,4]=>[7,5,1,6,3,4,8,2]=>{{1,2,3,5,7,8},{4,6}}=>2
[4,5,8,1,6,3,7,2]=>[7,5,4,3,6,1,8,2]=>{{1,2,5,6,7,8},{3,4}}=>4
[4,5,8,1,3,6,2,7]=>[6,5,4,3,1,8,2,7]=>{{1,2,5,6,7,8},{3,4}}=>4
[7,2,6,3,1,8,5,4]=>[2,7,8,1,4,6,3,5]=>{{1,2,3,4,5,7,8},{6}}=>2
[7,4,5,1,2,6,8,3]=>[4,6,5,3,2,8,7,1]=>{{1,2,3,4,5,6,8},{7}}=>1
[4,3,8,1,6,7,2,5]=>[4,6,3,2,8,7,5,1]=>{{1,2,4,5,6,7,8},{3}}=>5
[4,8,7,3,6,1,2,5]=>[7,4,6,1,8,5,3,2]=>{{1,2,3,4,5,6,7,8}}=>0
[5,8,4,3,7,1,2,6]=>[5,4,8,1,7,3,6,2]=>{{1,2,3,4,5,6,7,8}}=>0
[4,1,8,3,7,5,2,6]=>[7,1,4,2,8,3,6,5]=>{{1,2,3,4,6,7},{5,8}}=>0
[1,6,5,8,7,3,2,4]=>[1,7,8,5,6,3,4,2]=>{{1},{2,3,4,5,6,7,8}}=>0
[7,2,6,8,3,5,1,4]=>[2,7,8,6,3,1,5,4]=>{{1,2,3,4,5,6,7,8}}=>0
[7,2,8,6,5,3,1,4]=>[2,6,5,7,8,3,4,1]=>{{1,2,3,5,6,8},{4,7}}=>1
[3,8,2,4,5,1,7,6]=>[4,3,1,5,7,2,8,6]=>{{1,2,3,4,5,6,7,8}}=>0
[1,7,4,6,3,5,2,8]=>[1,4,7,6,2,3,5,8]=>{{1},{2,3,4,5,6,7},{8}}=>0
[6,8,5,3,2,4,1,7]=>[6,5,8,1,3,2,4,7]=>{{1,2,3,4,5,6,7,8}}=>0
[4,6,1,8,7,5,3,2]=>[8,6,2,4,7,1,3,5]=>{{1,2,3,5,6,7,8},{4}}=>4
[4,1,7,8,6,5,2,3]=>[7,1,6,4,8,2,5,3]=>{{1,2,3,5,6,7,8},{4}}=>4
[4,5,1,3,7,6,2,8]=>[6,4,2,1,5,7,3,8]=>{{1,2,3,4,6,7},{5},{8}}=>2
[1,7,5,6,3,4,8,2]=>[1,5,8,6,3,2,7,4]=>{{1},{2,3,4,5,6,8},{7}}=>1
[5,1,3,7,8,2,6,4]=>[3,1,8,7,5,4,2,6]=>{{1,2,3,4,6,7,8},{5}}=>3
[1,6,7,4,5,3,2,8]=>[1,5,4,6,7,2,3,8]=>{{1},{2,3,4,5,6,7},{8}}=>0
[1,4,8,7,2,3,6,5]=>[1,8,4,7,3,5,2,6]=>{{1},{2,3,4,5,6,7,8}}=>0
[1,8,6,5,2,7,4,3]=>[1,5,6,8,4,7,2,3]=>{{1},{2,3,4,5,6,7,8}}=>0
[6,4,1,8,3,7,5,2]=>[6,8,2,4,1,7,3,5]=>{{1,2,3,5,6,7,8},{4}}=>4
[4,5,8,7,3,6,2,1]=>[7,6,4,5,1,8,2,3]=>{{1,2,3,4,5,6,7,8}}=>0
[6,8,7,2,1,5,4,3]=>[8,6,7,2,4,1,3,5]=>{{1,2,4,5,6,8},{3,7}}=>1
[8,1,6,3,7,5,4,2]=>[6,1,8,2,7,3,4,5]=>{{1,2,3,4,5,6,7,8}}=>0
[1,6,7,5,8,4,2,3]=>[1,7,6,8,5,2,4,3]=>{{1},{2,3,4,6,7,8},{5}}=>3
[6,8,4,7,3,2,5,1]=>[7,4,8,6,1,3,2,5]=>{{1,2,3,4,5,6,7,8}}=>0
[5,8,7,2,6,4,3,1]=>[8,5,6,2,7,1,3,4]=>{{1,2,3,4,5,6,7,8}}=>0
[6,8,7,3,5,1,4,2]=>[7,5,6,1,8,4,2,3]=>{{1,2,3,4,5,6,7,8}}=>0
[7,2,5,6,8,3,4,1]=>[2,6,8,7,5,3,1,4]=>{{1,2,3,4,6,7,8},{5}}=>3
[8,6,7,2,3,5,4,1]=>[6,8,7,2,3,1,4,5]=>{{1,6},{2,3,4,5,7,8}}=>0
[5,4,8,6,7,3,1,2]=>[7,8,4,5,6,1,3,2]=>{{1,3,4,5,6,7},{2,8}}=>0
[4,2,7,3,1,6,8,5]=>[2,6,4,1,3,8,7,5]=>{{1,2,3,4,5,6,8},{7}}=>1
[7,3,6,4,2,1,8,5]=>[3,6,4,8,1,5,7,2]=>{{1,2,3,4,5,6,8},{7}}=>1
[7,4,3,1,5,8,6,2]=>[3,4,5,2,8,7,1,6]=>{{1,3,5,6,7,8},{2,4}}=>4
[7,4,8,6,5,3,1,2]=>[5,7,4,6,8,1,3,2]=>{{1,2,3,4,5,6,7,8}}=>0
[1,5,7,2,4,3,8,6]=>[1,8,5,3,2,4,7,6]=>{{1},{2,3,4,5,6,8},{7}}=>1
[5,1,3,8,2,7,4,6]=>[3,1,7,5,4,8,6,2]=>{{1,2,3,6,7,8},{4,5}}=>3
[5,7,1,3,2,8,4,6]=>[8,5,2,1,4,7,6,3]=>{{1,2,3,4,5,8},{6,7}}=>1
[8,1,7,2,3,6,5,4]=>[6,1,7,3,4,8,2,5]=>{{1,2,3,4,5,6,7,8}}=>0
[8,7,1,3,2,4,6,5]=>[7,8,2,1,4,5,3,6]=>{{1,2,3,4,5,6,7,8}}=>0
[1,8,2,7,6,3,5,4]=>[1,6,2,7,8,5,3,4]=>{{1},{2,3,4,5,6,7,8}}=>0
[8,7,3,5,4,1,2,6]=>[3,5,7,8,1,4,6,2]=>{{1,2,3,4,5,6,7,8}}=>0
[6,3,8,5,7,2,1,4]=>[5,7,3,8,6,2,4,1]=>{{1,2,4,5,6,7,8},{3}}=>5
[8,7,3,6,4,1,2,5]=>[3,6,7,8,1,5,4,2]=>{{1,2,3,4,5,6,7,8}}=>0
[5,2,7,4,6,1,3,8]=>[2,5,4,7,6,3,1,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[7,6,2,3,1,4,8,5]=>[6,8,1,2,4,5,7,3]=>{{1,2,3,4,5,6,8},{7}}=>1
[4,7,6,1,3,2,8,5]=>[8,4,6,3,1,5,7,2]=>{{1,2,3,4,5,6,8},{7}}=>1
[7,6,3,8,1,5,2,4]=>[3,7,8,6,4,1,5,2]=>{{1,2,3,4,5,6,7,8}}=>0
[1,6,4,7,8,5,3,2]=>[1,7,8,4,6,2,3,5]=>{{1},{2,3,5,6,7,8},{4}}=>4
[7,2,5,8,6,1,3,4]=>[2,6,8,5,7,4,3,1]=>{{1,2,3,4,5,6,7,8}}=>0
[1,5,2,6,8,7,4,3]=>[1,8,2,6,5,7,3,4]=>{{1},{2,3,4,6,7,8},{5}}=>3
[1,8,3,7,5,2,6,4]=>[1,3,5,7,8,4,2,6]=>{{1},{2,3,4,5,6,7,8}}=>0
[8,1,3,6,5,2,7,4]=>[3,1,5,6,7,4,8,2]=>{{1,2,3,5,7,8},{4,6}}=>2
[7,4,1,5,2,6,8,3]=>[4,6,2,5,3,8,7,1]=>{{1,2,3,4,5,6,8},{7}}=>1
[8,6,7,5,2,1,4,3]=>[5,7,6,8,3,4,1,2]=>{{1,2,3,4,5,6,7,8}}=>0
[7,1,4,5,2,6,8,3]=>[4,1,6,5,3,8,7,2]=>{{1,2,3,4,5,6,8},{7}}=>1
[4,1,7,6,5,2,8,3]=>[6,1,4,5,8,3,7,2]=>{{1,2,3,4,5,6,8},{7}}=>1
[8,4,1,5,6,2,7,3]=>[4,7,2,5,6,3,8,1]=>{{1,2,3,4,5,6,7,8}}=>0
[2,1,7,8,3,5,4,6]=>[2,1,8,7,4,3,6,5]=>{{1,2},{3,4,5,6,7,8}}=>0
[3,7,8,2,5,4,1,6]=>[7,5,3,1,8,2,6,4]=>{{1,2,4,5,6,7,8},{3}}=>5
[8,1,7,3,2,4,5,6]=>[7,1,8,2,4,5,6,3]=>{{1,2,4,5,6,7},{3,8}}=>0
[2,8,5,3,6,7,4,1]=>[5,2,8,1,6,7,3,4]=>{{1,3,4,5,6,7,8},{2}}=>6
[8,3,5,2,6,7,4,1]=>[3,8,5,1,6,7,2,4]=>{{1,2,3,4,5,6,7,8}}=>0
[8,4,6,2,1,5,7,3]=>[4,7,6,2,3,1,8,5]=>{{1,2,3,4,5,6,7,8}}=>0
[8,5,2,1,6,4,7,3]=>[5,7,1,3,6,2,8,4]=>{{1,2,3,4,5,6,7,8}}=>0
[1,7,2,8,5,4,6,3]=>[1,7,2,5,8,3,4,6]=>{{1},{2,3,4,5,6,7,8}}=>0
[6,7,1,4,8,5,3,2]=>[7,4,2,8,6,1,3,5]=>{{1,2,3,4,5,6,7,8}}=>0
[4,1,7,3,2,8,5,6]=>[8,1,4,2,3,7,6,5]=>{{1,2,3,4,5,8},{6,7}}=>1
[8,3,5,2,4,7,1,6]=>[3,7,5,1,2,8,6,4]=>{{1,2,3,4,5,6,7,8}}=>0
[6,1,3,7,8,5,4,2]=>[3,1,8,7,6,2,4,5]=>{{1,2,3,5,6,8},{4,7}}=>1
[5,8,7,3,2,1,4,6]=>[8,5,7,1,3,4,6,2]=>{{1,2,3,4,5,6,7,8}}=>0
[7,6,1,2,5,8,4,3]=>[5,7,2,3,8,6,1,4]=>{{1,2,3,4,5,7,8},{6}}=>2
[1,8,2,5,7,3,4,6]=>[1,5,2,8,7,4,6,3]=>{{1},{2,3,4,5,6,7,8}}=>0
[1,4,6,3,8,5,2,7]=>[1,8,4,2,6,3,5,7]=>{{1},{2,3,4,5,6,7,8}}=>0
[6,5,1,3,8,4,7,2]=>[6,7,2,1,5,3,8,4]=>{{1,2,3,4,6,7,8},{5}}=>3
[8,5,1,4,6,7,3,2]=>[4,5,2,8,6,7,1,3]=>{{1,2,3,4,5,6,7,8}}=>0
[1,4,7,5,8,2,6,3]=>[1,8,4,7,5,3,2,6]=>{{1},{2,3,4,6,7,8},{5}}=>3
[6,8,3,2,7,5,1,4]=>[6,3,8,1,7,2,5,4]=>{{1,2,3,4,6,8},{5,7}}=>1
[4,3,7,1,5,8,6,2]=>[4,5,3,2,8,7,1,6]=>{{1,2,4,5,6,7,8},{3}}=>5
[4,8,7,2,6,1,3,5]=>[7,4,6,2,8,5,3,1]=>{{1,3,5,6,7,8},{2,4}}=>4
[6,8,4,1,7,3,2,5]=>[6,4,8,3,7,2,5,1]=>{{1,2,3,4,6,8},{5,7}}=>1
[6,3,1,8,2,7,5,4]=>[3,8,2,6,4,7,1,5]=>{{1,2,3,4,5,6,7,8}}=>0
[4,1,7,8,3,2,5,6]=>[8,1,7,4,2,5,6,3]=>{{1,2,3,5,6,7,8},{4}}=>4
[5,8,2,1,3,6,4,7]=>[6,5,1,3,4,8,2,7]=>{{1,2,3,4,5,6,7,8}}=>0
[1,8,3,5,2,6,4,7]=>[1,3,5,6,4,8,2,7]=>{{1},{2,3,4,5,6,7,8}}=>0
[2,5,8,4,6,7,1,3]=>[5,2,4,8,6,7,3,1]=>{{1,3,4,5,6,7,8},{2}}=>6
[4,7,8,6,2,3,5,1]=>[8,6,4,7,2,3,1,5]=>{{1,2,3,4,5,6,7,8}}=>0
[1,6,7,2,5,8,3,4]=>[1,7,5,3,8,6,4,2]=>{{1},{2,3,4,5,7,8},{6}}=>2
[7,8,5,6,2,4,3,1]=>[6,5,8,7,3,1,2,4]=>{{1,6},{2,3,4,5,7,8}}=>0
[5,3,8,6,2,4,1,7]=>[5,8,3,6,2,1,4,7]=>{{1,2,4,5,6,7,8},{3}}=>5
[7,5,1,8,2,3,4,6]=>[7,8,2,5,4,3,6,1]=>{{1,2,3,6,7,8},{4,5}}=>3
[7,1,8,5,3,2,4,6]=>[7,1,5,8,3,4,6,2]=>{{1,2,4,6,7,8},{3,5}}=>3
[8,1,7,5,2,4,6,3]=>[5,1,7,8,4,2,3,6]=>{{1,2,4,5,6,8},{3,7}}=>1
[6,5,8,1,7,3,2,4]=>[7,8,5,3,6,2,4,1]=>{{1,2,3,4,5,6,7,8}}=>0
[7,2,4,1,6,3,5,8]=>[2,4,6,3,7,5,1,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[3,8,7,5,4,2,6,1]=>[7,3,5,8,1,2,4,6]=>{{1,2,3,4,5,6,7,8}}=>0
[3,8,6,7,5,4,2,1]=>[7,3,5,6,8,1,2,4]=>{{1,2,3,4,5,6,7,8}}=>0
[8,4,7,6,3,1,2,5]=>[4,8,6,7,1,5,3,2]=>{{1,3,4,5,6,7},{2,8}}=>0
[8,4,6,3,1,5,7,2]=>[4,7,6,1,3,2,8,5]=>{{1,4},{2,3,5,6,7,8}}=>0
[7,3,1,4,5,6,8,2]=>[3,4,2,5,6,8,7,1]=>{{1,2,3,4,5,6,8},{7}}=>1
[6,7,3,4,2,1,8,5]=>[4,3,6,8,1,5,7,2]=>{{1,2,3,4,5,6,8},{7}}=>1
[6,4,8,3,1,5,7,2]=>[6,7,4,1,3,2,8,5]=>{{1,2,3,4,5,6,7,8}}=>0
[7,4,2,3,5,1,8,6]=>[4,5,1,2,8,3,7,6]=>{{1,2,3,4,5,6,8},{7}}=>1
[2,5,3,8,6,4,1,7]=>[3,2,8,5,6,1,4,7]=>{{1,3,4,5,6,7,8},{2}}=>6
[4,5,2,1,6,7,3,8]=>[7,4,1,3,5,6,2,8]=>{{1,2,3,4,7},{5},{6},{8}}=>2
[4,6,8,1,5,7,2,3]=>[6,5,4,3,8,7,2,1]=>{{1,2,5,6,7,8},{3,4}}=>4
[3,4,7,2,5,8,6,1]=>[5,4,3,1,8,7,2,6]=>{{1,2,4,5,6,7,8},{3}}=>5
[2,5,1,8,6,4,7,3]=>[7,2,1,5,6,3,8,4]=>{{1,3,4,5,6,7,8},{2}}=>6
[8,4,7,3,1,5,2,6]=>[4,8,7,1,3,2,6,5]=>{{1,4},{2,3,5,6,7,8}}=>0
[5,6,8,4,2,7,1,3]=>[6,5,4,8,2,7,3,1]=>{{1,3,4,6,7,8},{2,5}}=>3
[4,3,8,6,1,2,5,7]=>[4,8,3,6,2,5,1,7]=>{{1,2,4,5,6,7,8},{3}}=>5
[8,7,4,2,3,6,5,1]=>[4,6,7,2,1,8,3,5]=>{{1,2,4,5,6,8},{3,7}}=>1
[8,4,2,3,7,6,5,1]=>[4,6,1,2,7,8,3,5]=>{{1,2,3,4,5,6,7,8}}=>0
[1,2,8,3,4,6,5,7]=>[1,2,6,3,4,8,5,7]=>{{1},{2},{3,4,5,6,7,8}}=>0
[7,6,8,2,4,5,3,1]=>[7,8,6,2,1,3,4,5]=>{{1,2,4,5,7,8},{3,6}}=>2
[4,2,8,6,5,1,3,7]=>[2,6,4,5,8,3,1,7]=>{{1,2,3,4,5,6,7,8}}=>0
[3,8,5,4,7,1,2,6]=>[5,3,4,8,7,2,6,1]=>{{1,2,3,4,5,6,7,8}}=>0
[1,4,8,3,6,2,7,5]=>[1,6,4,2,7,5,8,3]=>{{1},{2,3,4,5,6,7,8}}=>0
[6,4,7,2,3,8,5,1]=>[7,8,4,2,1,6,3,5]=>{{1,2,3,4,5,7,8},{6}}=>2
[7,1,5,6,3,4,8,2]=>[5,1,8,6,3,2,7,4]=>{{1,2,3,4,5,6,8},{7}}=>1
[6,1,8,5,4,7,3,2]=>[6,1,5,8,2,7,3,4]=>{{1,2,3,5,6,7},{4,8}}=>0
[7,4,8,6,3,5,1,2]=>[6,8,4,7,1,2,5,3]=>{{1,2,3,4,5,6,7,8}}=>0
[4,6,3,5,1,8,2,7]=>[4,3,8,5,2,6,1,7]=>{{1,2,3,4,5,7,8},{6}}=>2
[8,5,7,6,2,3,4,1]=>[5,8,6,7,3,2,1,4]=>{{1,2,3,4,5,6,7,8}}=>0
[5,7,3,2,8,4,1,6]=>[7,3,8,1,5,2,6,4]=>{{1,2,3,4,6,7,8},{5}}=>3
[1,4,6,5,3,8,2,7]=>[1,8,4,5,2,6,3,7]=>{{1},{2,3,4,5,7,8},{6}}=>2
[3,1,6,8,7,5,4,2]=>[8,1,3,6,7,2,4,5]=>{{1,2,4,5,6,7,8},{3}}=>5
[5,1,8,7,6,3,4,2]=>[8,1,5,6,7,3,2,4]=>{{1,2,3,4,5,6,7,8}}=>0
[8,2,7,5,3,6,4,1]=>[2,5,6,7,3,8,1,4]=>{{1,2,3,4,5,6,7,8}}=>0
[8,7,2,3,1,5,6,4]=>[7,8,1,2,4,3,5,6]=>{{1,2,3,4,5,6,7,8}}=>0
[5,7,4,1,2,6,8,3]=>[5,4,6,3,2,8,7,1]=>{{1,2,3,4,5,6,8},{7}}=>1
[7,4,5,2,6,3,1,8]=>[4,7,5,2,6,1,3,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[8,6,3,5,4,1,7,2]=>[3,5,6,7,1,4,8,2]=>{{1,2,3,4,5,6,7,8}}=>0
[8,7,4,5,1,3,6,2]=>[4,5,8,7,3,1,2,6]=>{{1,2,3,4,5,6,7,8}}=>0
[4,8,3,2,6,1,7,5]=>[4,3,6,1,7,5,8,2]=>{{1,4},{2,3,5,6,7,8}}=>0
[7,2,4,1,5,3,8,6]=>[2,4,5,3,8,1,7,6]=>{{1,2,3,4,5,6,8},{7}}=>1
[8,5,3,4,1,7,2,6]=>[3,4,5,7,2,8,6,1]=>{{1,2,3,4,5,6,7,8}}=>0
[2,8,5,4,3,6,1,7]=>[4,2,5,6,1,8,3,7]=>{{1,3,4,5,6,7,8},{2}}=>6
[7,4,6,5,3,2,8,1]=>[4,8,5,6,1,2,7,3]=>{{1,2,3,4,5,6,8},{7}}=>1
[4,8,5,3,1,2,6,7]=>[8,4,5,1,3,2,6,7]=>{{1,2,4,6,7,8},{3,5}}=>3
[8,4,6,1,5,7,3,2]=>[4,6,5,3,8,7,1,2]=>{{1,2,3,4,5,6,7,8}}=>0
[6,7,3,1,2,4,8,5]=>[6,3,8,2,4,5,7,1]=>{{1,2,3,4,5,6,8},{7}}=>1
[2,7,1,8,6,5,3,4]=>[7,2,1,6,8,3,5,4]=>{{1,3,4,5,6,7,8},{2}}=>6
[7,6,8,2,4,3,5,1]=>[7,8,6,2,1,4,3,5]=>{{1,2,3,4,5,6,7,8}}=>0
[3,5,8,4,6,7,1,2]=>[5,4,3,8,6,7,2,1]=>{{1,2,4,5,6,7,8},{3}}=>5
[5,6,3,1,8,2,4,7]=>[6,3,8,2,5,4,1,7]=>{{1,2,3,4,6,7,8},{5}}=>3
[7,3,6,5,1,8,4,2]=>[3,7,5,8,4,6,1,2]=>{{1,2,3,4,5,7,8},{6}}=>2
[7,1,4,6,8,5,3,2]=>[4,1,8,7,6,2,3,5]=>{{1,2,3,4,5,6,7,8}}=>0
[1,5,7,8,4,6,3,2]=>[1,7,6,5,2,8,3,4]=>{{1},{2,3,4,5,6,7,8}}=>0
[8,7,2,1,3,6,5,4]=>[6,7,1,3,4,8,2,5]=>{{1,3,4,5,6,8},{2,7}}=>1
[7,3,2,8,1,4,6,5]=>[3,8,1,7,4,5,2,6]=>{{1,3},{2,4,5,6,7,8}}=>0
[8,7,4,2,1,6,5,3]=>[4,6,7,2,3,8,1,5]=>{{1,2,3,4,5,6,7,8}}=>0
[8,6,7,4,3,1,5,2]=>[4,7,6,8,1,5,2,3]=>{{1,3,4,5,6,8},{2,7}}=>1
[5,3,1,4,7,6,2,8]=>[3,4,2,6,5,7,1,8]=>{{1,2,3,4,6,7},{5},{8}}=>2
[5,1,8,6,2,7,4,3]=>[8,1,5,6,4,7,2,3]=>{{1,2,3,4,5,6,7,8}}=>0
[8,2,1,4,3,7,5,6]=>[2,4,1,7,3,8,6,5]=>{{1,2,3,4,5,6,7,8}}=>0
[7,6,8,2,1,5,3,4]=>[7,8,6,2,4,1,5,3]=>{{1,2,3,4,5,6,7,8}}=>0
[8,6,2,5,1,3,7,4]=>[5,6,1,7,4,3,8,2]=>{{1,2,3,4,5,6,7,8}}=>0
[7,1,6,8,3,2,4,5]=>[7,1,8,6,3,5,4,2]=>{{1,2,3,4,5,6,7,8}}=>0
[8,2,1,6,4,7,3,5]=>[2,6,1,8,3,7,5,4]=>{{1,2,3,5,6,7},{4,8}}=>0
[2,7,3,8,5,6,4,1]=>[3,2,6,5,7,8,1,4]=>{{1,3,4,5,6,7,8},{2}}=>6
[1,2,8,5,7,4,6,3]=>[1,2,5,8,7,3,4,6]=>{{1},{2},{3,4,5,6,7,8}}=>0
[1,6,8,5,4,7,2,3]=>[1,6,5,8,2,7,4,3]=>{{1},{2,3,4,5,6,7,8}}=>0
[8,2,5,4,3,7,1,6]=>[2,4,5,7,1,8,6,3]=>{{1,2,3,4,5,6,7,8}}=>0
[8,1,5,3,4,7,2,6]=>[5,1,7,2,3,8,6,4]=>{{1,2,3,4,5,6,7,8}}=>0
[1,5,8,6,4,3,7,2]=>[1,7,5,6,2,3,8,4]=>{{1},{2,3,4,5,6,7,8}}=>0
[5,8,1,4,6,2,7,3]=>[5,4,2,7,6,3,8,1]=>{{1,2,3,4,5,6,7,8}}=>0
[6,8,7,5,1,3,4,2]=>[7,5,6,8,4,2,1,3]=>{{1,7},{2,3,4,5,6,8}}=>0
[6,4,3,2,7,8,5,1]=>[3,4,8,1,7,6,2,5]=>{{1,2,3,4,5,7,8},{6}}=>2
[5,4,7,2,1,3,8,6]=>[5,8,4,2,3,1,7,6]=>{{1,2,3,4,5,6,8},{7}}=>1
[2,7,6,3,8,4,5,1]=>[7,2,8,1,6,4,3,5]=>{{1,3,4,5,6,7,8},{2}}=>6
[4,6,8,2,3,1,7,5]=>[7,6,4,2,1,5,8,3]=>{{1,2,3,4,5,6,7,8}}=>0
[6,1,7,3,8,4,5,2]=>[8,1,7,2,6,4,3,5]=>{{1,2,4,5,6,8},{3,7}}=>1
[8,2,3,1,6,4,7,5]=>[2,3,6,1,7,5,8,4]=>{{1,2,3,4,5,6,7,8}}=>0
[1,8,3,7,6,2,5,4]=>[1,3,6,7,8,5,2,4]=>{{1},{2,3,4,5,6,7,8}}=>0
[1,3,8,2,5,6,4,7]=>[1,5,3,2,6,8,4,7]=>{{1},{2,4,5,6,7,8},{3}}=>5
[6,2,8,5,1,3,7,4]=>[2,6,5,7,4,3,8,1]=>{{1,2,3,4,5,6,7,8}}=>0
[4,1,7,6,8,2,5,3]=>[8,1,4,7,6,5,2,3]=>{{1,2,3,4,7,8},{5,6}}=>2
[4,7,1,6,8,5,2,3]=>[8,4,2,7,6,1,5,3]=>{{1,2,3,4,5,6,7,8}}=>0
[1,7,3,8,2,5,4,6]=>[1,3,8,7,4,2,6,5]=>{{1},{2,3,4,5,6,7,8}}=>0
[5,3,1,8,6,7,4,2]=>[3,8,2,5,6,7,1,4]=>{{1,2,3,4,5,6,7,8}}=>0
[1,4,7,3,5,8,6,2]=>[1,5,4,2,8,7,3,6]=>{{1},{2,3,4,5,6,7,8}}=>0
[3,7,8,2,5,1,6,4]=>[7,5,3,1,8,4,2,6]=>{{1,2,4,5,6,7,8},{3}}=>5
[7,3,8,2,4,1,5,6]=>[7,8,3,1,2,5,6,4]=>{{1,2,4,5,6,7,8},{3}}=>5
[5,7,4,8,3,1,2,6]=>[7,5,8,4,1,3,6,2]=>{{1,2,3,5,6,7,8},{4}}=>4
[6,1,2,4,8,3,7,5]=>[4,1,2,7,6,5,8,3]=>{{1,2,3,4,7,8},{5,6}}=>2
[8,5,7,3,4,6,2,1]=>[5,7,6,1,2,8,3,4]=>{{1,2,3,4,5,6,7,8}}=>0
[6,8,7,4,3,5,2,1]=>[7,4,6,8,1,2,3,5]=>{{1,2,3,4,5,6,7,8}}=>0
[1,4,7,5,3,2,6,8]=>[1,7,4,5,2,3,6,8]=>{{1},{2,3,4,5,6,7},{8}}=>0
[1,7,5,4,3,2,8,6]=>[1,4,5,8,2,3,7,6]=>{{1},{2,3,4,5,6,8},{7}}=>1
[1,4,7,5,3,2,8,6]=>[1,8,4,5,2,3,7,6]=>{{1},{2,3,4,5,6,8},{7}}=>1
[6,8,7,2,3,5,4,1]=>[8,6,7,2,3,1,4,5]=>{{1,2,3,4,5,6,7,8}}=>0
[6,7,3,1,8,2,4,5]=>[7,3,8,2,6,5,4,1]=>{{1,2,3,4,7,8},{5,6}}=>2
[7,3,1,4,6,2,8,5]=>[3,4,2,6,8,5,7,1]=>{{1,2,3,4,5,6,8},{7}}=>1
[7,4,1,2,5,6,3,8]=>[4,5,2,3,6,7,1,8]=>{{1,2,3,4,5,6,7},{8}}=>0
[8,4,7,1,5,2,6,3]=>[4,7,5,3,8,2,1,6]=>{{1,2,3,4,5,6,7,8}}=>0
[8,2,6,3,7,5,4,1]=>[2,6,8,1,7,3,4,5]=>{{1,2,3,4,5,6,7,8}}=>0
[8,2,7,3,1,4,5,6]=>[2,7,8,1,4,5,6,3]=>{{1,2,4,5,6,7},{3,8}}=>0
[8,6,7,4,1,3,5,2]=>[4,7,6,8,3,2,1,5]=>{{1,2,3,4,5,6,7,8}}=>0
[7,3,5,6,1,8,2,4]=>[3,8,5,7,4,6,2,1]=>{{1,2,3,4,5,7,8},{6}}=>2
[3,8,2,6,1,7,4,5]=>[6,3,1,8,4,7,5,2]=>{{1,2,3,4,5,6,7,8}}=>0
[4,5,8,3,6,1,7,2]=>[7,5,4,1,6,3,8,2]=>{{1,2,3,4,5,6,7,8}}=>0
[4,5,8,7,2,3,1,6]=>[8,7,4,5,2,1,6,3]=>{{1,2,3,4,5,6,7,8}}=>0
[8,6,3,2,7,4,5,1]=>[3,6,8,1,7,4,2,5]=>{{1,2,3,4,5,6,7,8}}=>0
[4,7,1,3,2,5,8,6]=>[8,4,2,1,3,5,7,6]=>{{1,2,3,4,5,6,8},{7}}=>1
[4,7,1,3,2,6,8,5]=>[6,4,2,1,3,8,7,5]=>{{1,2,3,4,5,6,8},{7}}=>1
[5,7,1,3,6,2,8,4]=>[8,5,2,1,6,4,7,3]=>{{1,2,3,4,5,6,8},{7}}=>1
[6,8,2,5,7,3,1,4]=>[7,5,1,8,6,3,4,2]=>{{1,2,3,4,5,6,7,8}}=>0
[4,7,1,3,2,8,5,6]=>[8,4,2,1,3,7,6,5]=>{{1,2,3,4,5,8},{6,7}}=>1
[5,8,7,3,4,2,6,1]=>[8,5,7,1,2,3,4,6]=>{{1,3,4,6,7,8},{2,5}}=>3
[1,7,5,3,4,8,6,2]=>[1,5,8,2,3,7,4,6]=>{{1},{2,3,4,5,6,7,8}}=>0
[5,8,2,3,4,7,6,1]=>[7,5,1,2,3,8,4,6]=>{{1,2,3,4,5,7},{6,8}}=>0
[8,7,3,2,6,4,5,1]=>[3,6,7,1,8,4,2,5]=>{{1,2,3,4,6,7},{5,8}}=>0
[8,3,1,4,7,5,2,6]=>[3,4,2,7,8,1,6,5]=>{{1,2,3,4,6,7},{5,8}}=>0
[8,5,1,2,7,6,4,3]=>[5,7,2,3,6,8,1,4]=>{{1,2,3,4,5,6,7,8}}=>0
[8,2,6,3,1,5,4,7]=>[2,6,8,1,4,3,5,7]=>{{1,2,3,4,5,6,7,8}}=>0
[8,4,2,7,1,3,6,5]=>[4,8,1,7,3,5,2,6]=>{{1,2,3,4,5,6,7,8}}=>0
[3,8,2,6,4,7,1,5]=>[6,3,1,8,2,7,5,4]=>{{1,2,3,5,6,7},{4,8}}=>0
[6,5,1,7,4,8,3,2]=>[7,8,2,5,1,6,3,4]=>{{1,2,3,4,5,7,8},{6}}=>2
[8,3,6,1,7,4,5,2]=>[3,8,6,2,7,4,1,5]=>{{1,2,3,4,5,6,7,8}}=>0
[8,1,6,7,4,5,3,2]=>[6,1,8,7,2,3,4,5]=>{{1,2,3,5,6,8},{4,7}}=>1
[8,1,6,4,7,5,3,2]=>[4,1,6,8,7,2,3,5]=>{{1,2,3,4,5,6,7,8}}=>0
[6,4,8,1,5,3,7,2]=>[5,6,4,3,7,1,8,2]=>{{1,2,5,6,7,8},{3,4}}=>4
[6,2,7,1,5,8,3,4]=>[2,7,5,3,8,6,4,1]=>{{1,2,3,4,5,7,8},{6}}=>2
[5,8,3,6,7,2,4,1]=>[5,3,8,7,6,2,1,4]=>{{1,2,3,4,5,6,7,8}}=>0
[8,1,6,2,5,7,4,3]=>[5,1,6,3,8,7,2,4]=>{{1,2,3,4,5,6,7,8}}=>0
[1,8,6,2,4,7,5,3]=>[1,6,8,3,2,7,4,5]=>{{1},{2,3,4,5,6,7,8}}=>0
[6,7,2,3,5,8,1,4]=>[7,5,1,2,8,6,4,3]=>{{1,2,3,4,5,7,8},{6}}=>2
[3,7,4,2,5,1,8,6]=>[5,3,4,1,8,2,7,6]=>{{1,2,3,4,5,6,8},{7}}=>1
[1,8,3,4,5,7,2,6]=>[1,3,4,5,7,8,6,2]=>{{1},{2,3,4,5,6,7,8}}=>0
[7,8,2,6,5,4,3,1]=>[6,5,1,7,8,2,3,4]=>{{1,2,3,4,5,6,7,8}}=>0
[5,3,7,8,4,2,1,6]=>[7,8,3,5,1,2,6,4]=>{{1,2,4,5,6,7,8},{3}}=>5
[7,3,6,8,1,5,4,2]=>[3,8,7,6,4,1,2,5]=>{{1,2,3,4,5,6,7,8}}=>0
[2,8,6,1,5,7,4,3]=>[5,2,6,3,8,7,1,4]=>{{1,3,4,5,6,7,8},{2}}=>6
[8,3,5,1,7,6,4,2]=>[3,7,5,2,6,8,1,4]=>{{1,2,3,4,5,6,7,8}}=>0
[6,1,7,3,8,2,4,5]=>[8,1,7,2,6,5,4,3]=>{{1,2,3,4,7,8},{5,6}}=>2
[7,1,8,6,4,2,3,5]=>[7,1,6,8,2,5,4,3]=>{{1,2,3,4,5,6,7,8}}=>0
[1,7,2,8,6,5,3,4]=>[1,7,2,6,8,3,5,4]=>{{1},{2,3,4,5,6,7,8}}=>0
[4,8,2,7,5,1,6,3]=>[7,4,1,5,8,3,2,6]=>{{1,2,3,4,5,6,7,8}}=>0
[3,8,5,1,4,2,6,7]=>[8,3,5,2,1,4,6,7]=>{{1,2,3,4,5,6,7,8}}=>0
[5,1,7,3,2,6,8,4]=>[6,1,5,2,4,8,7,3]=>{{1,2,3,4,5,6,8},{7}}=>1
[1,6,8,7,2,5,4,3]=>[1,8,6,7,4,2,3,5]=>{{1},{2,3,4,5,6,7,8}}=>0
[8,4,6,7,5,3,1,2]=>[4,7,6,5,8,1,3,2]=>{{1,2,3,4,5,6,7,8}}=>0
[6,2,8,7,5,3,1,4]=>[2,7,5,6,8,3,4,1]=>{{1,2,3,4,5,6,7,8}}=>0
[6,8,7,4,5,3,1,2]=>[6,4,5,7,8,1,3,2]=>{{1,6},{2,3,4,5,7,8}}=>0
[4,5,1,3,8,7,2,6]=>[7,4,2,1,5,8,6,3]=>{{1,2,3,4,6,7,8},{5}}=>3
[7,4,5,8,6,3,2,1]=>[5,8,6,4,7,1,2,3]=>{{1,2,3,5,6,7,8},{4}}=>4
[1,6,2,3,8,5,7,4]=>[1,7,2,3,6,4,8,5]=>{{1},{2,3,4,5,6,7,8}}=>0
[3,4,2,6,8,5,7,1]=>[7,3,1,4,6,2,8,5]=>{{1,2,3,5,6,7,8},{4}}=>4
[6,8,1,2,7,3,4,5]=>[8,6,2,3,7,5,4,1]=>{{1,8},{2,3,4,5,6,7}}=>1
[3,6,2,4,7,5,8,1]=>[4,3,1,8,6,2,7,5]=>{{1,2,3,4,5,6,8},{7}}=>1
[3,1,8,4,6,2,5,7]=>[4,1,3,6,8,5,2,7]=>{{1,2,4,5,6,7,8},{3}}=>5
[4,2,7,3,5,8,1,6]=>[2,5,4,1,8,7,6,3]=>{{1,2,3,4,5,8},{6,7}}=>1
[7,1,4,2,8,6,3,5]=>[4,1,7,3,6,8,5,2]=>{{1,2,3,4,5,6,7,8}}=>0
[2,3,7,4,8,1,6,5]=>[4,2,3,8,7,5,1,6]=>{{1,4,5,6,7,8},{2},{3}}=>10
[8,4,6,3,5,1,7,2]=>[4,6,5,1,7,3,8,2]=>{{1,4},{2,3,5,6,7,8}}=>0
[6,1,4,8,2,3,7,5]=>[6,1,7,4,3,5,8,2]=>{{1,2,3,5,6,7,8},{4}}=>4
[7,6,2,3,5,8,4,1]=>[5,7,1,2,8,6,3,4]=>{{1,2,3,4,5,7,8},{6}}=>2
[8,3,1,2,5,4,7,6]=>[3,5,2,1,7,4,8,6]=>{{1,2,3,4,5,6,7,8}}=>0
[8,1,5,3,7,4,2,6]=>[5,1,8,2,7,3,6,4]=>{{1,2,3,4,5,6,7,8}}=>0
[6,7,2,1,3,4,8,5]=>[8,6,1,3,4,5,7,2]=>{{1,2,3,4,5,6,8},{7}}=>1
[2,4,5,8,3,6,7,1]=>[6,2,5,4,1,7,8,3]=>{{1,3,5,6,7,8},{2},{4}}=>9
[8,1,5,7,6,4,3,2]=>[5,1,8,6,7,2,3,4]=>{{1,2,3,4,5,6,7,8}}=>0
[5,3,8,4,6,7,2,1]=>[4,5,3,8,6,7,1,2]=>{{1,2,4,5,6,7,8},{3}}=>5
[3,2,7,8,5,6,4,1]=>[2,6,3,5,7,8,1,4]=>{{1,2,4,5,6,7,8},{3}}=>5
[5,2,1,3,8,4,6,7]=>[2,8,1,3,5,4,6,7]=>{{1,2,3,4,6,7,8},{5}}=>3
[1,4,3,8,6,2,5,7]=>[1,3,6,4,8,5,2,7]=>{{1},{2,3,5,6,7,8},{4}}=>4
[4,1,3,8,6,2,5,7]=>[3,1,6,4,8,5,2,7]=>{{1,2,3,5,6,7,8},{4}}=>4
[3,5,2,4,8,6,7,1]=>[4,3,1,6,5,7,8,2]=>{{1,2,3,4,6,7,8},{5}}=>3
[1,7,8,3,6,2,5,4]=>[1,7,6,2,8,5,3,4]=>{{1},{2,3,4,5,6,7,8}}=>0
[7,4,3,5,8,1,6,2]=>[3,4,8,7,5,2,1,6]=>{{1,2,3,4,6,7,8},{5}}=>3
[7,3,6,4,1,8,5,2]=>[3,7,4,8,2,6,1,5]=>{{1,2,3,4,5,7,8},{6}}=>2
[7,8,4,3,6,1,5,2]=>[6,4,7,1,8,5,2,3]=>{{1,2,3,4,5,6,7,8}}=>0
[1,7,5,4,3,8,2,6]=>[1,4,5,8,2,7,6,3]=>{{1},{2,3,4,5,8},{6,7}}=>1
[7,4,8,5,3,6,1,2]=>[5,7,4,6,1,8,3,2]=>{{1,5},{2,3,4,6,7,8}}=>0
[4,5,3,8,7,1,2,6]=>[5,3,8,4,7,2,6,1]=>{{1,2,3,5,6,7,8},{4}}=>4
[8,5,4,7,6,1,2,3]=>[4,6,8,5,7,3,2,1]=>{{1,2,3,4,5,6,7,8}}=>0
[2,3,7,8,1,4,6,5]=>[8,2,3,7,4,5,1,6]=>{{1,4,5,6,7,8},{2},{3}}=>10
[6,5,2,4,1,8,3,7]=>[4,5,1,8,3,6,2,7]=>{{1,2,3,4,5,7,8},{6}}=>2
[4,2,6,3,5,8,1,7]=>[2,5,4,1,8,6,3,7]=>{{1,2,3,4,5,7,8},{6}}=>2
[1,6,7,5,4,8,2,3]=>[1,7,5,8,2,6,4,3]=>{{1},{2,3,4,5,7,8},{6}}=>2
[4,7,1,3,5,6,8,2]=>[5,4,2,1,6,8,7,3]=>{{1,2,3,4,5,6,8},{7}}=>1
[1,8,3,6,2,4,7,5]=>[1,3,6,7,4,5,8,2]=>{{1},{2,3,4,5,6,7,8}}=>0
[6,8,2,1,5,4,3,7]=>[6,5,1,3,8,2,4,7]=>{{1,2,3,4,5,6,7,8}}=>0
[6,5,8,3,7,1,4,2]=>[7,8,5,1,6,4,2,3]=>{{1,2,3,4,5,6,7,8}}=>0
[8,1,2,4,6,3,5,7]=>[4,1,2,6,8,5,3,7]=>{{1,2,3,4,5,6,7,8}}=>0
[3,7,8,4,5,6,1,2]=>[5,4,3,6,7,8,2,1]=>{{1,2,4,5,6,7,8},{3}}=>5
[1,3,8,6,7,4,5,2]=>[1,6,3,8,7,4,2,5]=>{{1},{2,4,5,6,7,8},{3}}=>5
[8,2,5,4,1,7,3,6]=>[2,4,5,7,3,8,6,1]=>{{1,2,4,6,7,8},{3,5}}=>3
[5,7,3,4,2,8,6,1]=>[4,3,5,8,1,7,2,6]=>{{1,2,3,4,5,6,7,8}}=>0
[4,8,7,3,2,5,6,1]=>[8,4,7,1,2,3,5,6]=>{{1,2,3,4,5,6,7,8}}=>0
[5,6,2,8,7,4,3,1]=>[8,7,1,5,6,2,3,4]=>{{1,2,3,4,5,6,7,8}}=>0
[6,2,8,3,7,4,5,1]=>[2,8,6,1,7,4,3,5]=>{{1,2,3,4,5,6,7,8}}=>0
[1,4,3,8,5,6,2,7]=>[1,3,5,4,6,8,2,7]=>{{1},{2,3,5,6,7,8},{4}}=>4
[8,3,6,5,2,7,1,4]=>[3,6,5,8,2,7,4,1]=>{{1,2,3,4,5,6,7,8}}=>0
[8,6,2,1,7,3,5,4]=>[6,8,1,3,7,5,2,4]=>{{1,2,3,4,5,6,7,8}}=>0
[1,8,5,2,7,6,4,3]=>[1,5,7,3,6,8,2,4]=>{{1},{2,3,4,5,6,7,8}}=>0
[1,7,6,8,2,5,4,3]=>[1,7,8,6,4,2,3,5]=>{{1},{2,3,4,5,6,7,8}}=>0
[7,4,6,2,8,5,3,1]=>[4,8,7,2,6,1,3,5]=>{{1,2,4,5,6,8},{3,7}}=>1
[4,8,3,1,7,6,2,5]=>[4,3,6,2,7,8,5,1]=>{{1,2,3,4,6,8},{5,7}}=>1
[7,2,4,8,3,5,1,6]=>[2,7,8,4,1,3,6,5]=>{{1,2,3,5,6,7,8},{4}}=>4
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Description
The rcs statistic of a set partition.
Let $S = B_1,\ldots,B_k$ be a set partition with ordered blocks $B_i$ and with $\operatorname{min} B_a < \operatorname{min} B_b$ for $a < b$.
According to [1, Definition 3], a rcs (right-closer-smaller) of $S$ is given by a pair $i > j$ such that $j = \operatorname{max} B_b$ and $i \in B_a$ for $a < b$.
Let $S = B_1,\ldots,B_k$ be a set partition with ordered blocks $B_i$ and with $\operatorname{min} B_a < \operatorname{min} B_b$ for $a < b$.
According to [1, Definition 3], a rcs (right-closer-smaller) of $S$ is given by a pair $i > j$ such that $j = \operatorname{max} B_b$ and $i \in B_a$ for $a < b$.
Map
Corteel
Description
Corteel's map interchanging the number of crossings and the number of nestings of a permutation.
This involution creates a labelled bicoloured Motzkin path, using the Foata-Zeilberger map. In the corresponding bump diagram, each label records the number of arcs nesting the given arc. Then each label is replaced by its complement, and the inverse of the Foata-Zeilberger map is applied.
This involution creates a labelled bicoloured Motzkin path, using the Foata-Zeilberger map. In the corresponding bump diagram, each label records the number of arcs nesting the given arc. Then each label is replaced by its complement, and the inverse of the Foata-Zeilberger map is applied.
Map
to cycle type
Description
Let $\pi=c_1\dots c_r$ a permutation of size $n$ decomposed in its cyclic parts. The associated set partition of $[n]$ then is $S=S_1\cup\dots\cup S_r$ such that $S_i$ is the set of integers in the cycle $c_i$.
A permutation is cyclic [1] if and only if its cycle type is a hook partition [2].
A permutation is cyclic [1] if and only if its cycle type is a hook partition [2].
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