Identifier
-
Mp00090:
Permutations
—cycle-as-one-line notation⟶
Permutations
St000110: Permutations ⟶ ℤ
Values
=>
[1]=>[1]=>1
[1,2]=>[1,2]=>1
[2,1]=>[1,2]=>1
[1,2,3]=>[1,2,3]=>1
[1,3,2]=>[1,2,3]=>1
[2,1,3]=>[1,2,3]=>1
[2,3,1]=>[1,2,3]=>1
[3,1,2]=>[1,3,2]=>2
[3,2,1]=>[1,3,2]=>2
[1,2,3,4]=>[1,2,3,4]=>1
[1,2,4,3]=>[1,2,3,4]=>1
[1,3,2,4]=>[1,2,3,4]=>1
[1,3,4,2]=>[1,2,3,4]=>1
[1,4,2,3]=>[1,2,4,3]=>2
[1,4,3,2]=>[1,2,4,3]=>2
[2,1,3,4]=>[1,2,3,4]=>1
[2,1,4,3]=>[1,2,3,4]=>1
[2,3,1,4]=>[1,2,3,4]=>1
[2,3,4,1]=>[1,2,3,4]=>1
[2,4,1,3]=>[1,2,4,3]=>2
[2,4,3,1]=>[1,2,4,3]=>2
[3,1,2,4]=>[1,3,2,4]=>2
[3,1,4,2]=>[1,3,4,2]=>3
[3,2,1,4]=>[1,3,2,4]=>2
[3,2,4,1]=>[1,3,4,2]=>3
[3,4,1,2]=>[1,3,2,4]=>2
[3,4,2,1]=>[1,3,2,4]=>2
[4,1,2,3]=>[1,4,3,2]=>6
[4,1,3,2]=>[1,4,2,3]=>3
[4,2,1,3]=>[1,4,3,2]=>6
[4,2,3,1]=>[1,4,2,3]=>3
[4,3,1,2]=>[1,4,2,3]=>3
[4,3,2,1]=>[1,4,2,3]=>3
[1,2,3,4,5]=>[1,2,3,4,5]=>1
[1,2,3,5,4]=>[1,2,3,4,5]=>1
[1,2,4,3,5]=>[1,2,3,4,5]=>1
[1,2,4,5,3]=>[1,2,3,4,5]=>1
[1,2,5,3,4]=>[1,2,3,5,4]=>2
[1,2,5,4,3]=>[1,2,3,5,4]=>2
[1,3,2,4,5]=>[1,2,3,4,5]=>1
[1,3,2,5,4]=>[1,2,3,4,5]=>1
[1,3,4,2,5]=>[1,2,3,4,5]=>1
[1,3,4,5,2]=>[1,2,3,4,5]=>1
[1,3,5,2,4]=>[1,2,3,5,4]=>2
[1,3,5,4,2]=>[1,2,3,5,4]=>2
[1,4,2,3,5]=>[1,2,4,3,5]=>2
[1,4,2,5,3]=>[1,2,4,5,3]=>3
[1,4,3,2,5]=>[1,2,4,3,5]=>2
[1,4,3,5,2]=>[1,2,4,5,3]=>3
[1,4,5,2,3]=>[1,2,4,3,5]=>2
[1,4,5,3,2]=>[1,2,4,3,5]=>2
[1,5,2,3,4]=>[1,2,5,4,3]=>6
[1,5,2,4,3]=>[1,2,5,3,4]=>3
[1,5,3,2,4]=>[1,2,5,4,3]=>6
[1,5,3,4,2]=>[1,2,5,3,4]=>3
[1,5,4,2,3]=>[1,2,5,3,4]=>3
[1,5,4,3,2]=>[1,2,5,3,4]=>3
[2,1,3,4,5]=>[1,2,3,4,5]=>1
[2,1,3,5,4]=>[1,2,3,4,5]=>1
[2,1,4,3,5]=>[1,2,3,4,5]=>1
[2,1,4,5,3]=>[1,2,3,4,5]=>1
[2,1,5,3,4]=>[1,2,3,5,4]=>2
[2,1,5,4,3]=>[1,2,3,5,4]=>2
[2,3,1,4,5]=>[1,2,3,4,5]=>1
[2,3,1,5,4]=>[1,2,3,4,5]=>1
[2,3,4,1,5]=>[1,2,3,4,5]=>1
[2,3,4,5,1]=>[1,2,3,4,5]=>1
[2,3,5,1,4]=>[1,2,3,5,4]=>2
[2,3,5,4,1]=>[1,2,3,5,4]=>2
[2,4,1,3,5]=>[1,2,4,3,5]=>2
[2,4,1,5,3]=>[1,2,4,5,3]=>3
[2,4,3,1,5]=>[1,2,4,3,5]=>2
[2,4,3,5,1]=>[1,2,4,5,3]=>3
[2,4,5,1,3]=>[1,2,4,3,5]=>2
[2,4,5,3,1]=>[1,2,4,3,5]=>2
[2,5,1,3,4]=>[1,2,5,4,3]=>6
[2,5,1,4,3]=>[1,2,5,3,4]=>3
[2,5,3,1,4]=>[1,2,5,4,3]=>6
[2,5,3,4,1]=>[1,2,5,3,4]=>3
[2,5,4,1,3]=>[1,2,5,3,4]=>3
[2,5,4,3,1]=>[1,2,5,3,4]=>3
[3,1,2,4,5]=>[1,3,2,4,5]=>2
[3,1,2,5,4]=>[1,3,2,4,5]=>2
[3,1,4,2,5]=>[1,3,4,2,5]=>3
[3,1,4,5,2]=>[1,3,4,5,2]=>4
[3,1,5,2,4]=>[1,3,5,4,2]=>8
[3,1,5,4,2]=>[1,3,5,2,4]=>5
[3,2,1,4,5]=>[1,3,2,4,5]=>2
[3,2,1,5,4]=>[1,3,2,4,5]=>2
[3,2,4,1,5]=>[1,3,4,2,5]=>3
[3,2,4,5,1]=>[1,3,4,5,2]=>4
[3,2,5,1,4]=>[1,3,5,4,2]=>8
[3,2,5,4,1]=>[1,3,5,2,4]=>5
[3,4,1,2,5]=>[1,3,2,4,5]=>2
[3,4,1,5,2]=>[1,3,2,4,5]=>2
[3,4,2,1,5]=>[1,3,2,4,5]=>2
[3,4,2,5,1]=>[1,3,2,4,5]=>2
[3,4,5,1,2]=>[1,3,5,2,4]=>5
[3,4,5,2,1]=>[1,3,5,2,4]=>5
[3,5,1,2,4]=>[1,3,2,5,4]=>4
[3,5,1,4,2]=>[1,3,2,5,4]=>4
[3,5,2,1,4]=>[1,3,2,5,4]=>4
[3,5,2,4,1]=>[1,3,2,5,4]=>4
[3,5,4,1,2]=>[1,3,4,2,5]=>3
[3,5,4,2,1]=>[1,3,4,2,5]=>3
[4,1,2,3,5]=>[1,4,3,2,5]=>6
[4,1,2,5,3]=>[1,4,5,3,2]=>12
[4,1,3,2,5]=>[1,4,2,3,5]=>3
[4,1,3,5,2]=>[1,4,5,2,3]=>6
[4,1,5,2,3]=>[1,4,2,3,5]=>3
[4,1,5,3,2]=>[1,4,3,5,2]=>8
[4,2,1,3,5]=>[1,4,3,2,5]=>6
[4,2,1,5,3]=>[1,4,5,3,2]=>12
[4,2,3,1,5]=>[1,4,2,3,5]=>3
[4,2,3,5,1]=>[1,4,5,2,3]=>6
[4,2,5,1,3]=>[1,4,2,3,5]=>3
[4,2,5,3,1]=>[1,4,3,5,2]=>8
[4,3,1,2,5]=>[1,4,2,3,5]=>3
[4,3,1,5,2]=>[1,4,5,2,3]=>6
[4,3,2,1,5]=>[1,4,2,3,5]=>3
[4,3,2,5,1]=>[1,4,5,2,3]=>6
[4,3,5,1,2]=>[1,4,2,3,5]=>3
[4,3,5,2,1]=>[1,4,2,3,5]=>3
[4,5,1,2,3]=>[1,4,2,5,3]=>5
[4,5,1,3,2]=>[1,4,3,2,5]=>6
[4,5,2,1,3]=>[1,4,2,5,3]=>5
[4,5,2,3,1]=>[1,4,3,2,5]=>6
[4,5,3,1,2]=>[1,4,2,5,3]=>5
[4,5,3,2,1]=>[1,4,2,5,3]=>5
[5,1,2,3,4]=>[1,5,4,3,2]=>24
[5,1,2,4,3]=>[1,5,3,2,4]=>8
[5,1,3,2,4]=>[1,5,4,2,3]=>12
[5,1,3,4,2]=>[1,5,2,3,4]=>4
[5,1,4,2,3]=>[1,5,3,4,2]=>12
[5,1,4,3,2]=>[1,5,2,3,4]=>4
[5,2,1,3,4]=>[1,5,4,3,2]=>24
[5,2,1,4,3]=>[1,5,3,2,4]=>8
[5,2,3,1,4]=>[1,5,4,2,3]=>12
[5,2,3,4,1]=>[1,5,2,3,4]=>4
[5,2,4,1,3]=>[1,5,3,4,2]=>12
[5,2,4,3,1]=>[1,5,2,3,4]=>4
[5,3,1,2,4]=>[1,5,4,2,3]=>12
[5,3,1,4,2]=>[1,5,2,3,4]=>4
[5,3,2,1,4]=>[1,5,4,2,3]=>12
[5,3,2,4,1]=>[1,5,2,3,4]=>4
[5,3,4,1,2]=>[1,5,2,3,4]=>4
[5,3,4,2,1]=>[1,5,2,3,4]=>4
[5,4,1,2,3]=>[1,5,3,2,4]=>8
[5,4,1,3,2]=>[1,5,2,4,3]=>8
[5,4,2,1,3]=>[1,5,3,2,4]=>8
[5,4,2,3,1]=>[1,5,2,4,3]=>8
[5,4,3,1,2]=>[1,5,2,4,3]=>8
[5,4,3,2,1]=>[1,5,2,4,3]=>8
[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>1
[1,2,3,4,6,5]=>[1,2,3,4,5,6]=>1
[1,2,3,5,4,6]=>[1,2,3,4,5,6]=>1
[1,2,3,5,6,4]=>[1,2,3,4,5,6]=>1
[1,2,3,6,4,5]=>[1,2,3,4,6,5]=>2
[1,2,3,6,5,4]=>[1,2,3,4,6,5]=>2
[1,2,4,3,5,6]=>[1,2,3,4,5,6]=>1
[1,2,4,3,6,5]=>[1,2,3,4,5,6]=>1
[1,2,4,5,3,6]=>[1,2,3,4,5,6]=>1
[1,2,4,5,6,3]=>[1,2,3,4,5,6]=>1
[1,2,4,6,3,5]=>[1,2,3,4,6,5]=>2
[1,2,4,6,5,3]=>[1,2,3,4,6,5]=>2
[1,2,5,3,4,6]=>[1,2,3,5,4,6]=>2
[1,2,5,3,6,4]=>[1,2,3,5,6,4]=>3
[1,2,5,4,3,6]=>[1,2,3,5,4,6]=>2
[1,2,5,4,6,3]=>[1,2,3,5,6,4]=>3
[1,2,5,6,3,4]=>[1,2,3,5,4,6]=>2
[1,2,5,6,4,3]=>[1,2,3,5,4,6]=>2
[1,2,6,3,4,5]=>[1,2,3,6,5,4]=>6
[1,2,6,3,5,4]=>[1,2,3,6,4,5]=>3
[1,2,6,4,3,5]=>[1,2,3,6,5,4]=>6
[1,2,6,4,5,3]=>[1,2,3,6,4,5]=>3
[1,2,6,5,3,4]=>[1,2,3,6,4,5]=>3
[1,2,6,5,4,3]=>[1,2,3,6,4,5]=>3
[1,3,2,4,5,6]=>[1,2,3,4,5,6]=>1
[1,3,2,4,6,5]=>[1,2,3,4,5,6]=>1
[1,3,2,5,4,6]=>[1,2,3,4,5,6]=>1
[1,3,2,5,6,4]=>[1,2,3,4,5,6]=>1
[1,3,2,6,4,5]=>[1,2,3,4,6,5]=>2
[1,3,2,6,5,4]=>[1,2,3,4,6,5]=>2
[1,3,4,2,5,6]=>[1,2,3,4,5,6]=>1
[1,3,4,2,6,5]=>[1,2,3,4,5,6]=>1
[1,3,4,5,2,6]=>[1,2,3,4,5,6]=>1
[1,3,4,5,6,2]=>[1,2,3,4,5,6]=>1
[1,3,4,6,2,5]=>[1,2,3,4,6,5]=>2
[1,3,4,6,5,2]=>[1,2,3,4,6,5]=>2
[1,3,5,2,4,6]=>[1,2,3,5,4,6]=>2
[1,3,5,2,6,4]=>[1,2,3,5,6,4]=>3
[1,3,5,4,2,6]=>[1,2,3,5,4,6]=>2
[1,3,5,4,6,2]=>[1,2,3,5,6,4]=>3
[1,3,5,6,2,4]=>[1,2,3,5,4,6]=>2
[1,3,5,6,4,2]=>[1,2,3,5,4,6]=>2
[1,3,6,2,4,5]=>[1,2,3,6,5,4]=>6
[1,3,6,2,5,4]=>[1,2,3,6,4,5]=>3
[1,3,6,4,2,5]=>[1,2,3,6,5,4]=>6
[1,3,6,4,5,2]=>[1,2,3,6,4,5]=>3
[1,3,6,5,2,4]=>[1,2,3,6,4,5]=>3
[1,3,6,5,4,2]=>[1,2,3,6,4,5]=>3
[1,4,2,3,5,6]=>[1,2,4,3,5,6]=>2
[1,4,2,3,6,5]=>[1,2,4,3,5,6]=>2
[1,4,2,5,3,6]=>[1,2,4,5,3,6]=>3
[1,4,2,5,6,3]=>[1,2,4,5,6,3]=>4
[1,4,2,6,3,5]=>[1,2,4,6,5,3]=>8
[1,4,2,6,5,3]=>[1,2,4,6,3,5]=>5
[1,4,3,2,5,6]=>[1,2,4,3,5,6]=>2
[1,4,3,2,6,5]=>[1,2,4,3,5,6]=>2
[1,4,3,5,2,6]=>[1,2,4,5,3,6]=>3
[1,4,3,5,6,2]=>[1,2,4,5,6,3]=>4
[1,4,3,6,2,5]=>[1,2,4,6,5,3]=>8
[1,4,3,6,5,2]=>[1,2,4,6,3,5]=>5
[1,4,5,2,3,6]=>[1,2,4,3,5,6]=>2
[1,4,5,2,6,3]=>[1,2,4,3,5,6]=>2
[1,4,5,3,2,6]=>[1,2,4,3,5,6]=>2
[1,4,5,3,6,2]=>[1,2,4,3,5,6]=>2
[1,4,5,6,2,3]=>[1,2,4,6,3,5]=>5
[1,4,5,6,3,2]=>[1,2,4,6,3,5]=>5
[1,4,6,2,3,5]=>[1,2,4,3,6,5]=>4
[1,4,6,2,5,3]=>[1,2,4,3,6,5]=>4
[1,4,6,3,2,5]=>[1,2,4,3,6,5]=>4
[1,4,6,3,5,2]=>[1,2,4,3,6,5]=>4
[1,4,6,5,2,3]=>[1,2,4,5,3,6]=>3
[1,4,6,5,3,2]=>[1,2,4,5,3,6]=>3
[1,5,2,3,4,6]=>[1,2,5,4,3,6]=>6
[1,5,2,3,6,4]=>[1,2,5,6,4,3]=>12
[1,5,2,4,3,6]=>[1,2,5,3,4,6]=>3
[1,5,2,4,6,3]=>[1,2,5,6,3,4]=>6
[1,5,2,6,3,4]=>[1,2,5,3,4,6]=>3
[1,5,2,6,4,3]=>[1,2,5,4,6,3]=>8
[1,5,3,2,4,6]=>[1,2,5,4,3,6]=>6
[1,5,3,2,6,4]=>[1,2,5,6,4,3]=>12
[1,5,3,4,2,6]=>[1,2,5,3,4,6]=>3
[1,5,3,4,6,2]=>[1,2,5,6,3,4]=>6
[1,5,3,6,2,4]=>[1,2,5,3,4,6]=>3
[1,5,3,6,4,2]=>[1,2,5,4,6,3]=>8
[1,5,4,2,3,6]=>[1,2,5,3,4,6]=>3
[1,5,4,2,6,3]=>[1,2,5,6,3,4]=>6
[1,5,4,3,2,6]=>[1,2,5,3,4,6]=>3
[1,5,4,3,6,2]=>[1,2,5,6,3,4]=>6
[1,5,4,6,2,3]=>[1,2,5,3,4,6]=>3
[1,5,4,6,3,2]=>[1,2,5,3,4,6]=>3
[1,5,6,2,3,4]=>[1,2,5,3,6,4]=>5
[1,5,6,2,4,3]=>[1,2,5,4,3,6]=>6
[1,5,6,3,2,4]=>[1,2,5,3,6,4]=>5
[1,5,6,3,4,2]=>[1,2,5,4,3,6]=>6
[1,5,6,4,2,3]=>[1,2,5,3,6,4]=>5
[1,5,6,4,3,2]=>[1,2,5,3,6,4]=>5
[1,6,2,3,4,5]=>[1,2,6,5,4,3]=>24
[1,6,2,3,5,4]=>[1,2,6,4,3,5]=>8
[1,6,2,4,3,5]=>[1,2,6,5,3,4]=>12
[1,6,2,4,5,3]=>[1,2,6,3,4,5]=>4
[1,6,2,5,3,4]=>[1,2,6,4,5,3]=>12
[1,6,2,5,4,3]=>[1,2,6,3,4,5]=>4
[1,6,3,2,4,5]=>[1,2,6,5,4,3]=>24
[1,6,3,2,5,4]=>[1,2,6,4,3,5]=>8
[1,6,3,4,2,5]=>[1,2,6,5,3,4]=>12
[1,6,3,4,5,2]=>[1,2,6,3,4,5]=>4
[1,6,3,5,2,4]=>[1,2,6,4,5,3]=>12
[1,6,3,5,4,2]=>[1,2,6,3,4,5]=>4
[1,6,4,2,3,5]=>[1,2,6,5,3,4]=>12
[1,6,4,2,5,3]=>[1,2,6,3,4,5]=>4
[1,6,4,3,2,5]=>[1,2,6,5,3,4]=>12
[1,6,4,3,5,2]=>[1,2,6,3,4,5]=>4
[1,6,4,5,2,3]=>[1,2,6,3,4,5]=>4
[1,6,4,5,3,2]=>[1,2,6,3,4,5]=>4
[1,6,5,2,3,4]=>[1,2,6,4,3,5]=>8
[1,6,5,2,4,3]=>[1,2,6,3,5,4]=>8
[1,6,5,3,2,4]=>[1,2,6,4,3,5]=>8
[1,6,5,3,4,2]=>[1,2,6,3,5,4]=>8
[1,6,5,4,2,3]=>[1,2,6,3,5,4]=>8
[1,6,5,4,3,2]=>[1,2,6,3,5,4]=>8
[2,1,3,4,5,6]=>[1,2,3,4,5,6]=>1
[2,1,3,4,6,5]=>[1,2,3,4,5,6]=>1
[2,1,3,5,4,6]=>[1,2,3,4,5,6]=>1
[2,1,3,5,6,4]=>[1,2,3,4,5,6]=>1
[2,1,3,6,4,5]=>[1,2,3,4,6,5]=>2
[2,1,3,6,5,4]=>[1,2,3,4,6,5]=>2
[2,1,4,3,5,6]=>[1,2,3,4,5,6]=>1
[2,1,4,3,6,5]=>[1,2,3,4,5,6]=>1
[2,1,4,5,3,6]=>[1,2,3,4,5,6]=>1
[2,1,4,5,6,3]=>[1,2,3,4,5,6]=>1
[2,1,4,6,3,5]=>[1,2,3,4,6,5]=>2
[2,1,4,6,5,3]=>[1,2,3,4,6,5]=>2
[2,1,5,3,4,6]=>[1,2,3,5,4,6]=>2
[2,1,5,3,6,4]=>[1,2,3,5,6,4]=>3
[2,1,5,4,3,6]=>[1,2,3,5,4,6]=>2
[2,1,5,4,6,3]=>[1,2,3,5,6,4]=>3
[2,1,5,6,3,4]=>[1,2,3,5,4,6]=>2
[2,1,5,6,4,3]=>[1,2,3,5,4,6]=>2
[2,1,6,3,4,5]=>[1,2,3,6,5,4]=>6
[2,1,6,3,5,4]=>[1,2,3,6,4,5]=>3
[2,1,6,4,3,5]=>[1,2,3,6,5,4]=>6
[2,1,6,4,5,3]=>[1,2,3,6,4,5]=>3
[2,1,6,5,3,4]=>[1,2,3,6,4,5]=>3
[2,1,6,5,4,3]=>[1,2,3,6,4,5]=>3
[2,3,1,4,5,6]=>[1,2,3,4,5,6]=>1
[2,3,1,4,6,5]=>[1,2,3,4,5,6]=>1
[2,3,1,5,4,6]=>[1,2,3,4,5,6]=>1
[2,3,1,5,6,4]=>[1,2,3,4,5,6]=>1
[2,3,1,6,4,5]=>[1,2,3,4,6,5]=>2
[2,3,1,6,5,4]=>[1,2,3,4,6,5]=>2
[2,3,4,1,5,6]=>[1,2,3,4,5,6]=>1
[2,3,4,1,6,5]=>[1,2,3,4,5,6]=>1
[2,3,4,5,1,6]=>[1,2,3,4,5,6]=>1
[2,3,4,5,6,1]=>[1,2,3,4,5,6]=>1
[2,3,4,6,1,5]=>[1,2,3,4,6,5]=>2
[2,3,4,6,5,1]=>[1,2,3,4,6,5]=>2
[2,3,5,1,4,6]=>[1,2,3,5,4,6]=>2
[2,3,5,1,6,4]=>[1,2,3,5,6,4]=>3
[2,3,5,4,1,6]=>[1,2,3,5,4,6]=>2
[2,3,5,4,6,1]=>[1,2,3,5,6,4]=>3
[2,3,5,6,1,4]=>[1,2,3,5,4,6]=>2
[2,3,5,6,4,1]=>[1,2,3,5,4,6]=>2
[2,3,6,1,4,5]=>[1,2,3,6,5,4]=>6
[2,3,6,1,5,4]=>[1,2,3,6,4,5]=>3
[2,3,6,4,1,5]=>[1,2,3,6,5,4]=>6
[2,3,6,4,5,1]=>[1,2,3,6,4,5]=>3
[2,3,6,5,1,4]=>[1,2,3,6,4,5]=>3
[2,3,6,5,4,1]=>[1,2,3,6,4,5]=>3
[2,4,1,3,5,6]=>[1,2,4,3,5,6]=>2
[2,4,1,3,6,5]=>[1,2,4,3,5,6]=>2
[2,4,1,5,3,6]=>[1,2,4,5,3,6]=>3
[2,4,1,5,6,3]=>[1,2,4,5,6,3]=>4
[2,4,1,6,3,5]=>[1,2,4,6,5,3]=>8
[2,4,1,6,5,3]=>[1,2,4,6,3,5]=>5
[2,4,3,1,5,6]=>[1,2,4,3,5,6]=>2
[2,4,3,1,6,5]=>[1,2,4,3,5,6]=>2
[2,4,3,5,1,6]=>[1,2,4,5,3,6]=>3
[2,4,3,5,6,1]=>[1,2,4,5,6,3]=>4
[2,4,3,6,1,5]=>[1,2,4,6,5,3]=>8
[2,4,3,6,5,1]=>[1,2,4,6,3,5]=>5
[2,4,5,1,3,6]=>[1,2,4,3,5,6]=>2
[2,4,5,1,6,3]=>[1,2,4,3,5,6]=>2
[2,4,5,3,1,6]=>[1,2,4,3,5,6]=>2
[2,4,5,3,6,1]=>[1,2,4,3,5,6]=>2
[2,4,5,6,1,3]=>[1,2,4,6,3,5]=>5
[2,4,5,6,3,1]=>[1,2,4,6,3,5]=>5
[2,4,6,1,3,5]=>[1,2,4,3,6,5]=>4
[2,4,6,1,5,3]=>[1,2,4,3,6,5]=>4
[2,4,6,3,1,5]=>[1,2,4,3,6,5]=>4
[2,4,6,3,5,1]=>[1,2,4,3,6,5]=>4
[2,4,6,5,1,3]=>[1,2,4,5,3,6]=>3
[2,4,6,5,3,1]=>[1,2,4,5,3,6]=>3
[2,5,1,3,4,6]=>[1,2,5,4,3,6]=>6
[2,5,1,3,6,4]=>[1,2,5,6,4,3]=>12
[2,5,1,4,3,6]=>[1,2,5,3,4,6]=>3
[2,5,1,4,6,3]=>[1,2,5,6,3,4]=>6
[2,5,1,6,3,4]=>[1,2,5,3,4,6]=>3
[2,5,1,6,4,3]=>[1,2,5,4,6,3]=>8
[2,5,3,1,4,6]=>[1,2,5,4,3,6]=>6
[2,5,3,1,6,4]=>[1,2,5,6,4,3]=>12
[2,5,3,4,1,6]=>[1,2,5,3,4,6]=>3
[2,5,3,4,6,1]=>[1,2,5,6,3,4]=>6
[2,5,3,6,1,4]=>[1,2,5,3,4,6]=>3
[2,5,3,6,4,1]=>[1,2,5,4,6,3]=>8
[2,5,4,1,3,6]=>[1,2,5,3,4,6]=>3
[2,5,4,1,6,3]=>[1,2,5,6,3,4]=>6
[2,5,4,3,1,6]=>[1,2,5,3,4,6]=>3
[2,5,4,3,6,1]=>[1,2,5,6,3,4]=>6
[2,5,4,6,1,3]=>[1,2,5,3,4,6]=>3
[2,5,4,6,3,1]=>[1,2,5,3,4,6]=>3
[2,5,6,1,3,4]=>[1,2,5,3,6,4]=>5
[2,5,6,1,4,3]=>[1,2,5,4,3,6]=>6
[2,5,6,3,1,4]=>[1,2,5,3,6,4]=>5
[2,5,6,3,4,1]=>[1,2,5,4,3,6]=>6
[2,5,6,4,1,3]=>[1,2,5,3,6,4]=>5
[2,5,6,4,3,1]=>[1,2,5,3,6,4]=>5
[2,6,1,3,4,5]=>[1,2,6,5,4,3]=>24
[2,6,1,3,5,4]=>[1,2,6,4,3,5]=>8
[2,6,1,4,3,5]=>[1,2,6,5,3,4]=>12
[2,6,1,4,5,3]=>[1,2,6,3,4,5]=>4
[2,6,1,5,3,4]=>[1,2,6,4,5,3]=>12
[2,6,1,5,4,3]=>[1,2,6,3,4,5]=>4
[2,6,3,1,4,5]=>[1,2,6,5,4,3]=>24
[2,6,3,1,5,4]=>[1,2,6,4,3,5]=>8
[2,6,3,4,1,5]=>[1,2,6,5,3,4]=>12
[2,6,3,4,5,1]=>[1,2,6,3,4,5]=>4
[2,6,3,5,1,4]=>[1,2,6,4,5,3]=>12
[2,6,3,5,4,1]=>[1,2,6,3,4,5]=>4
[2,6,4,1,3,5]=>[1,2,6,5,3,4]=>12
[2,6,4,1,5,3]=>[1,2,6,3,4,5]=>4
[2,6,4,3,1,5]=>[1,2,6,5,3,4]=>12
[2,6,4,3,5,1]=>[1,2,6,3,4,5]=>4
[2,6,4,5,1,3]=>[1,2,6,3,4,5]=>4
[2,6,4,5,3,1]=>[1,2,6,3,4,5]=>4
[2,6,5,1,3,4]=>[1,2,6,4,3,5]=>8
[2,6,5,1,4,3]=>[1,2,6,3,5,4]=>8
[2,6,5,3,1,4]=>[1,2,6,4,3,5]=>8
[2,6,5,3,4,1]=>[1,2,6,3,5,4]=>8
[2,6,5,4,1,3]=>[1,2,6,3,5,4]=>8
[2,6,5,4,3,1]=>[1,2,6,3,5,4]=>8
[3,1,2,4,5,6]=>[1,3,2,4,5,6]=>2
[3,1,2,4,6,5]=>[1,3,2,4,5,6]=>2
[3,1,2,5,4,6]=>[1,3,2,4,5,6]=>2
[3,1,2,5,6,4]=>[1,3,2,4,5,6]=>2
[3,1,2,6,4,5]=>[1,3,2,4,6,5]=>4
[3,1,2,6,5,4]=>[1,3,2,4,6,5]=>4
[3,1,4,2,5,6]=>[1,3,4,2,5,6]=>3
[3,1,4,2,6,5]=>[1,3,4,2,5,6]=>3
[3,1,4,5,2,6]=>[1,3,4,5,2,6]=>4
[3,1,4,5,6,2]=>[1,3,4,5,6,2]=>5
[3,1,4,6,2,5]=>[1,3,4,6,5,2]=>10
[3,1,4,6,5,2]=>[1,3,4,6,2,5]=>7
[3,1,5,2,4,6]=>[1,3,5,4,2,6]=>8
[3,1,5,2,6,4]=>[1,3,5,6,4,2]=>15
[3,1,5,4,2,6]=>[1,3,5,2,4,6]=>5
[3,1,5,4,6,2]=>[1,3,5,6,2,4]=>9
[3,1,5,6,2,4]=>[1,3,5,2,4,6]=>5
[3,1,5,6,4,2]=>[1,3,5,4,6,2]=>10
[3,1,6,2,4,5]=>[1,3,6,5,4,2]=>30
[3,1,6,2,5,4]=>[1,3,6,4,2,5]=>11
[3,1,6,4,2,5]=>[1,3,6,5,2,4]=>18
[3,1,6,4,5,2]=>[1,3,6,2,4,5]=>7
[3,1,6,5,2,4]=>[1,3,6,4,5,2]=>15
[3,1,6,5,4,2]=>[1,3,6,2,4,5]=>7
[3,2,1,4,5,6]=>[1,3,2,4,5,6]=>2
[3,2,1,4,6,5]=>[1,3,2,4,5,6]=>2
[3,2,1,5,4,6]=>[1,3,2,4,5,6]=>2
[3,2,1,5,6,4]=>[1,3,2,4,5,6]=>2
[3,2,1,6,4,5]=>[1,3,2,4,6,5]=>4
[3,2,1,6,5,4]=>[1,3,2,4,6,5]=>4
[3,2,4,1,5,6]=>[1,3,4,2,5,6]=>3
[3,2,4,1,6,5]=>[1,3,4,2,5,6]=>3
[3,2,4,5,1,6]=>[1,3,4,5,2,6]=>4
[3,2,4,5,6,1]=>[1,3,4,5,6,2]=>5
[3,2,4,6,1,5]=>[1,3,4,6,5,2]=>10
[3,2,4,6,5,1]=>[1,3,4,6,2,5]=>7
[3,2,5,1,4,6]=>[1,3,5,4,2,6]=>8
[3,2,5,1,6,4]=>[1,3,5,6,4,2]=>15
[3,2,5,4,1,6]=>[1,3,5,2,4,6]=>5
[3,2,5,4,6,1]=>[1,3,5,6,2,4]=>9
[3,2,5,6,1,4]=>[1,3,5,2,4,6]=>5
[3,2,5,6,4,1]=>[1,3,5,4,6,2]=>10
[3,2,6,1,4,5]=>[1,3,6,5,4,2]=>30
[3,2,6,1,5,4]=>[1,3,6,4,2,5]=>11
[3,2,6,4,1,5]=>[1,3,6,5,2,4]=>18
[3,2,6,4,5,1]=>[1,3,6,2,4,5]=>7
[3,2,6,5,1,4]=>[1,3,6,4,5,2]=>15
[3,2,6,5,4,1]=>[1,3,6,2,4,5]=>7
[3,4,1,2,5,6]=>[1,3,2,4,5,6]=>2
[3,4,1,2,6,5]=>[1,3,2,4,5,6]=>2
[3,4,1,5,2,6]=>[1,3,2,4,5,6]=>2
[3,4,1,5,6,2]=>[1,3,2,4,5,6]=>2
[3,4,1,6,2,5]=>[1,3,2,4,6,5]=>4
[3,4,1,6,5,2]=>[1,3,2,4,6,5]=>4
[3,4,2,1,5,6]=>[1,3,2,4,5,6]=>2
[3,4,2,1,6,5]=>[1,3,2,4,5,6]=>2
[3,4,2,5,1,6]=>[1,3,2,4,5,6]=>2
[3,4,2,5,6,1]=>[1,3,2,4,5,6]=>2
[3,4,2,6,1,5]=>[1,3,2,4,6,5]=>4
[3,4,2,6,5,1]=>[1,3,2,4,6,5]=>4
[3,4,5,1,2,6]=>[1,3,5,2,4,6]=>5
[3,4,5,1,6,2]=>[1,3,5,6,2,4]=>9
[3,4,5,2,1,6]=>[1,3,5,2,4,6]=>5
[3,4,5,2,6,1]=>[1,3,5,6,2,4]=>9
[3,4,5,6,1,2]=>[1,3,5,2,4,6]=>5
[3,4,5,6,2,1]=>[1,3,5,2,4,6]=>5
[3,4,6,1,2,5]=>[1,3,6,5,2,4]=>18
[3,4,6,1,5,2]=>[1,3,6,2,4,5]=>7
[3,4,6,2,1,5]=>[1,3,6,5,2,4]=>18
[3,4,6,2,5,1]=>[1,3,6,2,4,5]=>7
[3,4,6,5,1,2]=>[1,3,6,2,4,5]=>7
[3,4,6,5,2,1]=>[1,3,6,2,4,5]=>7
[3,5,1,2,4,6]=>[1,3,2,5,4,6]=>4
[3,5,1,2,6,4]=>[1,3,2,5,6,4]=>6
[3,5,1,4,2,6]=>[1,3,2,5,4,6]=>4
[3,5,1,4,6,2]=>[1,3,2,5,6,4]=>6
[3,5,1,6,2,4]=>[1,3,2,5,4,6]=>4
[3,5,1,6,4,2]=>[1,3,2,5,4,6]=>4
[3,5,2,1,4,6]=>[1,3,2,5,4,6]=>4
[3,5,2,1,6,4]=>[1,3,2,5,6,4]=>6
[3,5,2,4,1,6]=>[1,3,2,5,4,6]=>4
[3,5,2,4,6,1]=>[1,3,2,5,6,4]=>6
[3,5,2,6,1,4]=>[1,3,2,5,4,6]=>4
[3,5,2,6,4,1]=>[1,3,2,5,4,6]=>4
[3,5,4,1,2,6]=>[1,3,4,2,5,6]=>3
[3,5,4,1,6,2]=>[1,3,4,2,5,6]=>3
[3,5,4,2,1,6]=>[1,3,4,2,5,6]=>3
[3,5,4,2,6,1]=>[1,3,4,2,5,6]=>3
[3,5,4,6,1,2]=>[1,3,4,6,2,5]=>7
[3,5,4,6,2,1]=>[1,3,4,6,2,5]=>7
[3,5,6,1,2,4]=>[1,3,6,4,2,5]=>11
[3,5,6,1,4,2]=>[1,3,6,2,5,4]=>14
[3,5,6,2,1,4]=>[1,3,6,4,2,5]=>11
[3,5,6,2,4,1]=>[1,3,6,2,5,4]=>14
[3,5,6,4,1,2]=>[1,3,6,2,5,4]=>14
[3,5,6,4,2,1]=>[1,3,6,2,5,4]=>14
[3,6,1,2,4,5]=>[1,3,2,6,5,4]=>12
[3,6,1,2,5,4]=>[1,3,2,6,4,5]=>6
[3,6,1,4,2,5]=>[1,3,2,6,5,4]=>12
[3,6,1,4,5,2]=>[1,3,2,6,4,5]=>6
[3,6,1,5,2,4]=>[1,3,2,6,4,5]=>6
[3,6,1,5,4,2]=>[1,3,2,6,4,5]=>6
[3,6,2,1,4,5]=>[1,3,2,6,5,4]=>12
[3,6,2,1,5,4]=>[1,3,2,6,4,5]=>6
[3,6,2,4,1,5]=>[1,3,2,6,5,4]=>12
[3,6,2,4,5,1]=>[1,3,2,6,4,5]=>6
[3,6,2,5,1,4]=>[1,3,2,6,4,5]=>6
[3,6,2,5,4,1]=>[1,3,2,6,4,5]=>6
[3,6,4,1,2,5]=>[1,3,4,2,6,5]=>6
[3,6,4,1,5,2]=>[1,3,4,2,6,5]=>6
[3,6,4,2,1,5]=>[1,3,4,2,6,5]=>6
[3,6,4,2,5,1]=>[1,3,4,2,6,5]=>6
[3,6,4,5,1,2]=>[1,3,4,5,2,6]=>4
[3,6,4,5,2,1]=>[1,3,4,5,2,6]=>4
[3,6,5,1,2,4]=>[1,3,5,2,6,4]=>8
[3,6,5,1,4,2]=>[1,3,5,4,2,6]=>8
[3,6,5,2,1,4]=>[1,3,5,2,6,4]=>8
[3,6,5,2,4,1]=>[1,3,5,4,2,6]=>8
[3,6,5,4,1,2]=>[1,3,5,2,6,4]=>8
[3,6,5,4,2,1]=>[1,3,5,2,6,4]=>8
[4,1,2,3,5,6]=>[1,4,3,2,5,6]=>6
[4,1,2,3,6,5]=>[1,4,3,2,5,6]=>6
[4,1,2,5,3,6]=>[1,4,5,3,2,6]=>12
[4,1,2,5,6,3]=>[1,4,5,6,3,2]=>20
[4,1,2,6,3,5]=>[1,4,6,5,3,2]=>40
[4,1,2,6,5,3]=>[1,4,6,3,2,5]=>18
[4,1,3,2,5,6]=>[1,4,2,3,5,6]=>3
[4,1,3,2,6,5]=>[1,4,2,3,5,6]=>3
[4,1,3,5,2,6]=>[1,4,5,2,3,6]=>6
[4,1,3,5,6,2]=>[1,4,5,6,2,3]=>10
[4,1,3,6,2,5]=>[1,4,6,5,2,3]=>20
[4,1,3,6,5,2]=>[1,4,6,2,3,5]=>9
[4,1,5,2,3,6]=>[1,4,2,3,5,6]=>3
[4,1,5,2,6,3]=>[1,4,2,3,5,6]=>3
[4,1,5,3,2,6]=>[1,4,3,5,2,6]=>8
[4,1,5,3,6,2]=>[1,4,3,5,6,2]=>10
[4,1,5,6,2,3]=>[1,4,6,3,5,2]=>25
[4,1,5,6,3,2]=>[1,4,6,2,3,5]=>9
[4,1,6,2,3,5]=>[1,4,2,3,6,5]=>6
[4,1,6,2,5,3]=>[1,4,2,3,6,5]=>6
[4,1,6,3,2,5]=>[1,4,3,6,5,2]=>20
[4,1,6,3,5,2]=>[1,4,3,6,2,5]=>14
[4,1,6,5,2,3]=>[1,4,5,2,3,6]=>6
[4,1,6,5,3,2]=>[1,4,5,3,6,2]=>15
[4,2,1,3,5,6]=>[1,4,3,2,5,6]=>6
[4,2,1,3,6,5]=>[1,4,3,2,5,6]=>6
[4,2,1,5,3,6]=>[1,4,5,3,2,6]=>12
[4,2,1,5,6,3]=>[1,4,5,6,3,2]=>20
[4,2,1,6,3,5]=>[1,4,6,5,3,2]=>40
[4,2,1,6,5,3]=>[1,4,6,3,2,5]=>18
[4,2,3,1,5,6]=>[1,4,2,3,5,6]=>3
[4,2,3,1,6,5]=>[1,4,2,3,5,6]=>3
[4,2,3,5,1,6]=>[1,4,5,2,3,6]=>6
[4,2,3,5,6,1]=>[1,4,5,6,2,3]=>10
[4,2,3,6,1,5]=>[1,4,6,5,2,3]=>20
[4,2,3,6,5,1]=>[1,4,6,2,3,5]=>9
[4,2,5,1,3,6]=>[1,4,2,3,5,6]=>3
[4,2,5,1,6,3]=>[1,4,2,3,5,6]=>3
[4,2,5,3,1,6]=>[1,4,3,5,2,6]=>8
[4,2,5,3,6,1]=>[1,4,3,5,6,2]=>10
[4,2,5,6,1,3]=>[1,4,6,3,5,2]=>25
[4,2,5,6,3,1]=>[1,4,6,2,3,5]=>9
[4,2,6,1,3,5]=>[1,4,2,3,6,5]=>6
[4,2,6,1,5,3]=>[1,4,2,3,6,5]=>6
[4,2,6,3,1,5]=>[1,4,3,6,5,2]=>20
[4,2,6,3,5,1]=>[1,4,3,6,2,5]=>14
[4,2,6,5,1,3]=>[1,4,5,2,3,6]=>6
[4,2,6,5,3,1]=>[1,4,5,3,6,2]=>15
[4,3,1,2,5,6]=>[1,4,2,3,5,6]=>3
[4,3,1,2,6,5]=>[1,4,2,3,5,6]=>3
[4,3,1,5,2,6]=>[1,4,5,2,3,6]=>6
[4,3,1,5,6,2]=>[1,4,5,6,2,3]=>10
[4,3,1,6,2,5]=>[1,4,6,5,2,3]=>20
[4,3,1,6,5,2]=>[1,4,6,2,3,5]=>9
[4,3,2,1,5,6]=>[1,4,2,3,5,6]=>3
[4,3,2,1,6,5]=>[1,4,2,3,5,6]=>3
[4,3,2,5,1,6]=>[1,4,5,2,3,6]=>6
[4,3,2,5,6,1]=>[1,4,5,6,2,3]=>10
[4,3,2,6,1,5]=>[1,4,6,5,2,3]=>20
[4,3,2,6,5,1]=>[1,4,6,2,3,5]=>9
[4,3,5,1,2,6]=>[1,4,2,3,5,6]=>3
[4,3,5,1,6,2]=>[1,4,2,3,5,6]=>3
[4,3,5,2,1,6]=>[1,4,2,3,5,6]=>3
[4,3,5,2,6,1]=>[1,4,2,3,5,6]=>3
[4,3,5,6,1,2]=>[1,4,6,2,3,5]=>9
[4,3,5,6,2,1]=>[1,4,6,2,3,5]=>9
[4,3,6,1,2,5]=>[1,4,2,3,6,5]=>6
[4,3,6,1,5,2]=>[1,4,2,3,6,5]=>6
[4,3,6,2,1,5]=>[1,4,2,3,6,5]=>6
[4,3,6,2,5,1]=>[1,4,2,3,6,5]=>6
[4,3,6,5,1,2]=>[1,4,5,2,3,6]=>6
[4,3,6,5,2,1]=>[1,4,5,2,3,6]=>6
[4,5,1,2,3,6]=>[1,4,2,5,3,6]=>5
[4,5,1,2,6,3]=>[1,4,2,5,6,3]=>7
[4,5,1,3,2,6]=>[1,4,3,2,5,6]=>6
[4,5,1,3,6,2]=>[1,4,3,2,5,6]=>6
[4,5,1,6,2,3]=>[1,4,6,3,2,5]=>18
[4,5,1,6,3,2]=>[1,4,6,2,5,3]=>16
[4,5,2,1,3,6]=>[1,4,2,5,3,6]=>5
[4,5,2,1,6,3]=>[1,4,2,5,6,3]=>7
[4,5,2,3,1,6]=>[1,4,3,2,5,6]=>6
[4,5,2,3,6,1]=>[1,4,3,2,5,6]=>6
[4,5,2,6,1,3]=>[1,4,6,3,2,5]=>18
[4,5,2,6,3,1]=>[1,4,6,2,5,3]=>16
[4,5,3,1,2,6]=>[1,4,2,5,3,6]=>5
[4,5,3,1,6,2]=>[1,4,2,5,6,3]=>7
[4,5,3,2,1,6]=>[1,4,2,5,3,6]=>5
[4,5,3,2,6,1]=>[1,4,2,5,6,3]=>7
[4,5,3,6,1,2]=>[1,4,6,2,5,3]=>16
[4,5,3,6,2,1]=>[1,4,6,2,5,3]=>16
[4,5,6,1,2,3]=>[1,4,2,5,3,6]=>5
[4,5,6,1,3,2]=>[1,4,2,5,3,6]=>5
[4,5,6,2,1,3]=>[1,4,2,5,3,6]=>5
[4,5,6,2,3,1]=>[1,4,2,5,3,6]=>5
[4,5,6,3,1,2]=>[1,4,3,6,2,5]=>14
[4,5,6,3,2,1]=>[1,4,3,6,2,5]=>14
[4,6,1,2,3,5]=>[1,4,2,6,5,3]=>14
[4,6,1,2,5,3]=>[1,4,2,6,3,5]=>8
[4,6,1,3,2,5]=>[1,4,3,2,6,5]=>12
[4,6,1,3,5,2]=>[1,4,3,2,6,5]=>12
[4,6,1,5,2,3]=>[1,4,5,2,6,3]=>9
[4,6,1,5,3,2]=>[1,4,5,3,2,6]=>12
[4,6,2,1,3,5]=>[1,4,2,6,5,3]=>14
[4,6,2,1,5,3]=>[1,4,2,6,3,5]=>8
[4,6,2,3,1,5]=>[1,4,3,2,6,5]=>12
[4,6,2,3,5,1]=>[1,4,3,2,6,5]=>12
[4,6,2,5,1,3]=>[1,4,5,2,6,3]=>9
[4,6,2,5,3,1]=>[1,4,5,3,2,6]=>12
[4,6,3,1,2,5]=>[1,4,2,6,5,3]=>14
[4,6,3,1,5,2]=>[1,4,2,6,3,5]=>8
[4,6,3,2,1,5]=>[1,4,2,6,5,3]=>14
[4,6,3,2,5,1]=>[1,4,2,6,3,5]=>8
[4,6,3,5,1,2]=>[1,4,5,2,6,3]=>9
[4,6,3,5,2,1]=>[1,4,5,2,6,3]=>9
[4,6,5,1,2,3]=>[1,4,2,6,3,5]=>8
[4,6,5,1,3,2]=>[1,4,2,6,3,5]=>8
[4,6,5,2,1,3]=>[1,4,2,6,3,5]=>8
[4,6,5,2,3,1]=>[1,4,2,6,3,5]=>8
[4,6,5,3,1,2]=>[1,4,3,5,2,6]=>8
[4,6,5,3,2,1]=>[1,4,3,5,2,6]=>8
[5,1,2,3,4,6]=>[1,5,4,3,2,6]=>24
[5,1,2,3,6,4]=>[1,5,6,4,3,2]=>60
[5,1,2,4,3,6]=>[1,5,3,2,4,6]=>8
[5,1,2,4,6,3]=>[1,5,6,3,2,4]=>20
[5,1,2,6,3,4]=>[1,5,3,2,4,6]=>8
[5,1,2,6,4,3]=>[1,5,4,6,3,2]=>40
[5,1,3,2,4,6]=>[1,5,4,2,3,6]=>12
[5,1,3,2,6,4]=>[1,5,6,4,2,3]=>30
[5,1,3,4,2,6]=>[1,5,2,3,4,6]=>4
[5,1,3,4,6,2]=>[1,5,6,2,3,4]=>10
[5,1,3,6,2,4]=>[1,5,2,3,4,6]=>4
[5,1,3,6,4,2]=>[1,5,4,6,2,3]=>20
[5,1,4,2,3,6]=>[1,5,3,4,2,6]=>12
[5,1,4,2,6,3]=>[1,5,6,3,4,2]=>30
[5,1,4,3,2,6]=>[1,5,2,3,4,6]=>4
[5,1,4,3,6,2]=>[1,5,6,2,3,4]=>10
[5,1,4,6,2,3]=>[1,5,2,3,4,6]=>4
[5,1,4,6,3,2]=>[1,5,3,4,6,2]=>15
[5,1,6,2,3,4]=>[1,5,3,6,4,2]=>25
[5,1,6,2,4,3]=>[1,5,4,2,3,6]=>12
[5,1,6,3,2,4]=>[1,5,2,3,6,4]=>7
[5,1,6,3,4,2]=>[1,5,4,3,6,2]=>30
[5,1,6,4,2,3]=>[1,5,2,3,6,4]=>7
[5,1,6,4,3,2]=>[1,5,3,6,2,4]=>16
[5,2,1,3,4,6]=>[1,5,4,3,2,6]=>24
[5,2,1,3,6,4]=>[1,5,6,4,3,2]=>60
[5,2,1,4,3,6]=>[1,5,3,2,4,6]=>8
[5,2,1,4,6,3]=>[1,5,6,3,2,4]=>20
[5,2,1,6,3,4]=>[1,5,3,2,4,6]=>8
[5,2,1,6,4,3]=>[1,5,4,6,3,2]=>40
[5,2,3,1,4,6]=>[1,5,4,2,3,6]=>12
[5,2,3,1,6,4]=>[1,5,6,4,2,3]=>30
[5,2,3,4,1,6]=>[1,5,2,3,4,6]=>4
[5,2,3,4,6,1]=>[1,5,6,2,3,4]=>10
[5,2,3,6,1,4]=>[1,5,2,3,4,6]=>4
[5,2,3,6,4,1]=>[1,5,4,6,2,3]=>20
[5,2,4,1,3,6]=>[1,5,3,4,2,6]=>12
[5,2,4,1,6,3]=>[1,5,6,3,4,2]=>30
[5,2,4,3,1,6]=>[1,5,2,3,4,6]=>4
[5,2,4,3,6,1]=>[1,5,6,2,3,4]=>10
[5,2,4,6,1,3]=>[1,5,2,3,4,6]=>4
[5,2,4,6,3,1]=>[1,5,3,4,6,2]=>15
[5,2,6,1,3,4]=>[1,5,3,6,4,2]=>25
[5,2,6,1,4,3]=>[1,5,4,2,3,6]=>12
[5,2,6,3,1,4]=>[1,5,2,3,6,4]=>7
[5,2,6,3,4,1]=>[1,5,4,3,6,2]=>30
[5,2,6,4,1,3]=>[1,5,2,3,6,4]=>7
[5,2,6,4,3,1]=>[1,5,3,6,2,4]=>16
[5,3,1,2,4,6]=>[1,5,4,2,3,6]=>12
[5,3,1,2,6,4]=>[1,5,6,4,2,3]=>30
[5,3,1,4,2,6]=>[1,5,2,3,4,6]=>4
[5,3,1,4,6,2]=>[1,5,6,2,3,4]=>10
[5,3,1,6,2,4]=>[1,5,2,3,4,6]=>4
[5,3,1,6,4,2]=>[1,5,4,6,2,3]=>20
[5,3,2,1,4,6]=>[1,5,4,2,3,6]=>12
[5,3,2,1,6,4]=>[1,5,6,4,2,3]=>30
[5,3,2,4,1,6]=>[1,5,2,3,4,6]=>4
[5,3,2,4,6,1]=>[1,5,6,2,3,4]=>10
[5,3,2,6,1,4]=>[1,5,2,3,4,6]=>4
[5,3,2,6,4,1]=>[1,5,4,6,2,3]=>20
[5,3,4,1,2,6]=>[1,5,2,3,4,6]=>4
[5,3,4,1,6,2]=>[1,5,6,2,3,4]=>10
[5,3,4,2,1,6]=>[1,5,2,3,4,6]=>4
[5,3,4,2,6,1]=>[1,5,6,2,3,4]=>10
[5,3,4,6,1,2]=>[1,5,2,3,4,6]=>4
[5,3,4,6,2,1]=>[1,5,2,3,4,6]=>4
[5,3,6,1,2,4]=>[1,5,2,3,6,4]=>7
[5,3,6,1,4,2]=>[1,5,4,2,3,6]=>12
[5,3,6,2,1,4]=>[1,5,2,3,6,4]=>7
[5,3,6,2,4,1]=>[1,5,4,2,3,6]=>12
[5,3,6,4,1,2]=>[1,5,2,3,6,4]=>7
[5,3,6,4,2,1]=>[1,5,2,3,6,4]=>7
[5,4,1,2,3,6]=>[1,5,3,2,4,6]=>8
[5,4,1,2,6,3]=>[1,5,6,3,2,4]=>20
[5,4,1,3,2,6]=>[1,5,2,4,3,6]=>8
[5,4,1,3,6,2]=>[1,5,6,2,4,3]=>20
[5,4,1,6,2,3]=>[1,5,2,4,6,3]=>11
[5,4,1,6,3,2]=>[1,5,3,2,4,6]=>8
[5,4,2,1,3,6]=>[1,5,3,2,4,6]=>8
[5,4,2,1,6,3]=>[1,5,6,3,2,4]=>20
[5,4,2,3,1,6]=>[1,5,2,4,3,6]=>8
[5,4,2,3,6,1]=>[1,5,6,2,4,3]=>20
[5,4,2,6,1,3]=>[1,5,2,4,6,3]=>11
[5,4,2,6,3,1]=>[1,5,3,2,4,6]=>8
[5,4,3,1,2,6]=>[1,5,2,4,3,6]=>8
[5,4,3,1,6,2]=>[1,5,6,2,4,3]=>20
[5,4,3,2,1,6]=>[1,5,2,4,3,6]=>8
[5,4,3,2,6,1]=>[1,5,6,2,4,3]=>20
[5,4,3,6,1,2]=>[1,5,2,4,6,3]=>11
[5,4,3,6,2,1]=>[1,5,2,4,6,3]=>11
[5,4,6,1,2,3]=>[1,5,2,4,3,6]=>8
[5,4,6,1,3,2]=>[1,5,3,6,2,4]=>16
[5,4,6,2,1,3]=>[1,5,2,4,3,6]=>8
[5,4,6,2,3,1]=>[1,5,3,6,2,4]=>16
[5,4,6,3,1,2]=>[1,5,2,4,3,6]=>8
[5,4,6,3,2,1]=>[1,5,2,4,3,6]=>8
[5,6,1,2,3,4]=>[1,5,3,2,6,4]=>14
[5,6,1,2,4,3]=>[1,5,4,2,6,3]=>18
[5,6,1,3,2,4]=>[1,5,2,6,4,3]=>18
[5,6,1,3,4,2]=>[1,5,4,3,2,6]=>24
[5,6,1,4,2,3]=>[1,5,2,6,3,4]=>9
[5,6,1,4,3,2]=>[1,5,3,2,6,4]=>14
[5,6,2,1,3,4]=>[1,5,3,2,6,4]=>14
[5,6,2,1,4,3]=>[1,5,4,2,6,3]=>18
[5,6,2,3,1,4]=>[1,5,2,6,4,3]=>18
[5,6,2,3,4,1]=>[1,5,4,3,2,6]=>24
[5,6,2,4,1,3]=>[1,5,2,6,3,4]=>9
[5,6,2,4,3,1]=>[1,5,3,2,6,4]=>14
[5,6,3,1,2,4]=>[1,5,2,6,4,3]=>18
[5,6,3,1,4,2]=>[1,5,4,2,6,3]=>18
[5,6,3,2,1,4]=>[1,5,2,6,4,3]=>18
[5,6,3,2,4,1]=>[1,5,4,2,6,3]=>18
[5,6,3,4,1,2]=>[1,5,2,6,3,4]=>9
[5,6,3,4,2,1]=>[1,5,2,6,3,4]=>9
[5,6,4,1,2,3]=>[1,5,2,6,3,4]=>9
[5,6,4,1,3,2]=>[1,5,3,4,2,6]=>12
[5,6,4,2,1,3]=>[1,5,2,6,3,4]=>9
[5,6,4,2,3,1]=>[1,5,3,4,2,6]=>12
[5,6,4,3,1,2]=>[1,5,2,6,3,4]=>9
[5,6,4,3,2,1]=>[1,5,2,6,3,4]=>9
[6,1,2,3,4,5]=>[1,6,5,4,3,2]=>120
[6,1,2,3,5,4]=>[1,6,4,3,2,5]=>30
[6,1,2,4,3,5]=>[1,6,5,3,2,4]=>40
[6,1,2,4,5,3]=>[1,6,3,2,4,5]=>10
[6,1,2,5,3,4]=>[1,6,4,5,3,2]=>60
[6,1,2,5,4,3]=>[1,6,3,2,4,5]=>10
[6,1,3,2,4,5]=>[1,6,5,4,2,3]=>60
[6,1,3,2,5,4]=>[1,6,4,2,3,5]=>15
[6,1,3,4,2,5]=>[1,6,5,2,3,4]=>20
[6,1,3,4,5,2]=>[1,6,2,3,4,5]=>5
[6,1,3,5,2,4]=>[1,6,4,5,2,3]=>30
[6,1,3,5,4,2]=>[1,6,2,3,4,5]=>5
[6,1,4,2,3,5]=>[1,6,5,3,4,2]=>60
[6,1,4,2,5,3]=>[1,6,3,4,2,5]=>15
[6,1,4,3,2,5]=>[1,6,5,2,3,4]=>20
[6,1,4,3,5,2]=>[1,6,2,3,4,5]=>5
[6,1,4,5,2,3]=>[1,6,3,4,5,2]=>20
[6,1,4,5,3,2]=>[1,6,2,3,4,5]=>5
[6,1,5,2,3,4]=>[1,6,4,2,3,5]=>15
[6,1,5,2,4,3]=>[1,6,3,5,4,2]=>40
[6,1,5,3,2,4]=>[1,6,4,3,5,2]=>40
[6,1,5,3,4,2]=>[1,6,2,3,5,4]=>10
[6,1,5,4,2,3]=>[1,6,3,5,2,4]=>25
[6,1,5,4,3,2]=>[1,6,2,3,5,4]=>10
[6,2,1,3,4,5]=>[1,6,5,4,3,2]=>120
[6,2,1,3,5,4]=>[1,6,4,3,2,5]=>30
[6,2,1,4,3,5]=>[1,6,5,3,2,4]=>40
[6,2,1,4,5,3]=>[1,6,3,2,4,5]=>10
[6,2,1,5,3,4]=>[1,6,4,5,3,2]=>60
[6,2,1,5,4,3]=>[1,6,3,2,4,5]=>10
[6,2,3,1,4,5]=>[1,6,5,4,2,3]=>60
[6,2,3,1,5,4]=>[1,6,4,2,3,5]=>15
[6,2,3,4,1,5]=>[1,6,5,2,3,4]=>20
[6,2,3,4,5,1]=>[1,6,2,3,4,5]=>5
[6,2,3,5,1,4]=>[1,6,4,5,2,3]=>30
[6,2,3,5,4,1]=>[1,6,2,3,4,5]=>5
[6,2,4,1,3,5]=>[1,6,5,3,4,2]=>60
[6,2,4,1,5,3]=>[1,6,3,4,2,5]=>15
[6,2,4,3,1,5]=>[1,6,5,2,3,4]=>20
[6,2,4,3,5,1]=>[1,6,2,3,4,5]=>5
[6,2,4,5,1,3]=>[1,6,3,4,5,2]=>20
[6,2,4,5,3,1]=>[1,6,2,3,4,5]=>5
[6,2,5,1,3,4]=>[1,6,4,2,3,5]=>15
[6,2,5,1,4,3]=>[1,6,3,5,4,2]=>40
[6,2,5,3,1,4]=>[1,6,4,3,5,2]=>40
[6,2,5,3,4,1]=>[1,6,2,3,5,4]=>10
[6,2,5,4,1,3]=>[1,6,3,5,2,4]=>25
[6,2,5,4,3,1]=>[1,6,2,3,5,4]=>10
[6,3,1,2,4,5]=>[1,6,5,4,2,3]=>60
[6,3,1,2,5,4]=>[1,6,4,2,3,5]=>15
[6,3,1,4,2,5]=>[1,6,5,2,3,4]=>20
[6,3,1,4,5,2]=>[1,6,2,3,4,5]=>5
[6,3,1,5,2,4]=>[1,6,4,5,2,3]=>30
[6,3,1,5,4,2]=>[1,6,2,3,4,5]=>5
[6,3,2,1,4,5]=>[1,6,5,4,2,3]=>60
[6,3,2,1,5,4]=>[1,6,4,2,3,5]=>15
[6,3,2,4,1,5]=>[1,6,5,2,3,4]=>20
[6,3,2,4,5,1]=>[1,6,2,3,4,5]=>5
[6,3,2,5,1,4]=>[1,6,4,5,2,3]=>30
[6,3,2,5,4,1]=>[1,6,2,3,4,5]=>5
[6,3,4,1,2,5]=>[1,6,5,2,3,4]=>20
[6,3,4,1,5,2]=>[1,6,2,3,4,5]=>5
[6,3,4,2,1,5]=>[1,6,5,2,3,4]=>20
[6,3,4,2,5,1]=>[1,6,2,3,4,5]=>5
[6,3,4,5,1,2]=>[1,6,2,3,4,5]=>5
[6,3,4,5,2,1]=>[1,6,2,3,4,5]=>5
[6,3,5,1,2,4]=>[1,6,4,2,3,5]=>15
[6,3,5,1,4,2]=>[1,6,2,3,5,4]=>10
[6,3,5,2,1,4]=>[1,6,4,2,3,5]=>15
[6,3,5,2,4,1]=>[1,6,2,3,5,4]=>10
[6,3,5,4,1,2]=>[1,6,2,3,5,4]=>10
[6,3,5,4,2,1]=>[1,6,2,3,5,4]=>10
[6,4,1,2,3,5]=>[1,6,5,3,2,4]=>40
[6,4,1,2,5,3]=>[1,6,3,2,4,5]=>10
[6,4,1,3,2,5]=>[1,6,5,2,4,3]=>40
[6,4,1,3,5,2]=>[1,6,2,4,3,5]=>10
[6,4,1,5,2,3]=>[1,6,3,2,4,5]=>10
[6,4,1,5,3,2]=>[1,6,2,4,5,3]=>15
[6,4,2,1,3,5]=>[1,6,5,3,2,4]=>40
[6,4,2,1,5,3]=>[1,6,3,2,4,5]=>10
[6,4,2,3,1,5]=>[1,6,5,2,4,3]=>40
[6,4,2,3,5,1]=>[1,6,2,4,3,5]=>10
[6,4,2,5,1,3]=>[1,6,3,2,4,5]=>10
[6,4,2,5,3,1]=>[1,6,2,4,5,3]=>15
[6,4,3,1,2,5]=>[1,6,5,2,4,3]=>40
[6,4,3,1,5,2]=>[1,6,2,4,3,5]=>10
[6,4,3,2,1,5]=>[1,6,5,2,4,3]=>40
[6,4,3,2,5,1]=>[1,6,2,4,3,5]=>10
[6,4,3,5,1,2]=>[1,6,2,4,5,3]=>15
[6,4,3,5,2,1]=>[1,6,2,4,5,3]=>15
[6,4,5,1,2,3]=>[1,6,3,5,2,4]=>25
[6,4,5,1,3,2]=>[1,6,2,4,3,5]=>10
[6,4,5,2,1,3]=>[1,6,3,5,2,4]=>25
[6,4,5,2,3,1]=>[1,6,2,4,3,5]=>10
[6,4,5,3,1,2]=>[1,6,2,4,3,5]=>10
[6,4,5,3,2,1]=>[1,6,2,4,3,5]=>10
[6,5,1,2,3,4]=>[1,6,4,2,5,3]=>25
[6,5,1,2,4,3]=>[1,6,3,2,5,4]=>20
[6,5,1,3,2,4]=>[1,6,4,3,2,5]=>30
[6,5,1,3,4,2]=>[1,6,2,5,4,3]=>30
[6,5,1,4,2,3]=>[1,6,3,2,5,4]=>20
[6,5,1,4,3,2]=>[1,6,2,5,3,4]=>15
[6,5,2,1,3,4]=>[1,6,4,2,5,3]=>25
[6,5,2,1,4,3]=>[1,6,3,2,5,4]=>20
[6,5,2,3,1,4]=>[1,6,4,3,2,5]=>30
[6,5,2,3,4,1]=>[1,6,2,5,4,3]=>30
[6,5,2,4,1,3]=>[1,6,3,2,5,4]=>20
[6,5,2,4,3,1]=>[1,6,2,5,3,4]=>15
[6,5,3,1,2,4]=>[1,6,4,2,5,3]=>25
[6,5,3,1,4,2]=>[1,6,2,5,4,3]=>30
[6,5,3,2,1,4]=>[1,6,4,2,5,3]=>25
[6,5,3,2,4,1]=>[1,6,2,5,4,3]=>30
[6,5,3,4,1,2]=>[1,6,2,5,3,4]=>15
[6,5,3,4,2,1]=>[1,6,2,5,3,4]=>15
[6,5,4,1,2,3]=>[1,6,3,4,2,5]=>15
[6,5,4,1,3,2]=>[1,6,2,5,3,4]=>15
[6,5,4,2,1,3]=>[1,6,3,4,2,5]=>15
[6,5,4,2,3,1]=>[1,6,2,5,3,4]=>15
[6,5,4,3,1,2]=>[1,6,2,5,3,4]=>15
[6,5,4,3,2,1]=>[1,6,2,5,3,4]=>15
[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>1
[1,2,3,4,5,7,6]=>[1,2,3,4,5,6,7]=>1
[1,2,3,4,6,5,7]=>[1,2,3,4,5,6,7]=>1
[1,2,3,4,6,7,5]=>[1,2,3,4,5,6,7]=>1
[1,2,3,4,7,5,6]=>[1,2,3,4,5,7,6]=>2
[1,2,3,4,7,6,5]=>[1,2,3,4,5,7,6]=>2
[1,2,3,5,4,6,7]=>[1,2,3,4,5,6,7]=>1
[1,2,3,5,4,7,6]=>[1,2,3,4,5,6,7]=>1
[1,2,3,5,6,4,7]=>[1,2,3,4,5,6,7]=>1
[1,2,3,5,6,7,4]=>[1,2,3,4,5,6,7]=>1
[1,2,3,5,7,4,6]=>[1,2,3,4,5,7,6]=>2
[1,2,3,5,7,6,4]=>[1,2,3,4,5,7,6]=>2
[1,2,3,6,4,5,7]=>[1,2,3,4,6,5,7]=>2
[1,2,3,6,5,4,7]=>[1,2,3,4,6,5,7]=>2
[1,2,3,6,7,4,5]=>[1,2,3,4,6,5,7]=>2
[1,2,3,6,7,5,4]=>[1,2,3,4,6,5,7]=>2
[1,2,4,3,5,6,7]=>[1,2,3,4,5,6,7]=>1
[1,2,4,3,5,7,6]=>[1,2,3,4,5,6,7]=>1
[1,2,4,3,6,5,7]=>[1,2,3,4,5,6,7]=>1
[1,2,4,3,6,7,5]=>[1,2,3,4,5,6,7]=>1
[1,2,4,3,7,5,6]=>[1,2,3,4,5,7,6]=>2
[1,2,4,3,7,6,5]=>[1,2,3,4,5,7,6]=>2
[1,2,4,5,3,6,7]=>[1,2,3,4,5,6,7]=>1
[1,2,4,5,3,7,6]=>[1,2,3,4,5,6,7]=>1
[1,2,4,5,6,3,7]=>[1,2,3,4,5,6,7]=>1
[1,2,4,5,6,7,3]=>[1,2,3,4,5,6,7]=>1
[1,2,4,5,7,3,6]=>[1,2,3,4,5,7,6]=>2
[1,2,4,5,7,6,3]=>[1,2,3,4,5,7,6]=>2
[1,2,4,6,3,5,7]=>[1,2,3,4,6,5,7]=>2
[1,2,4,6,5,3,7]=>[1,2,3,4,6,5,7]=>2
[1,2,4,6,7,3,5]=>[1,2,3,4,6,5,7]=>2
[1,2,4,6,7,5,3]=>[1,2,3,4,6,5,7]=>2
[1,2,6,7,3,4,5]=>[1,2,3,6,4,7,5]=>5
[1,2,6,7,4,3,5]=>[1,2,3,6,4,7,5]=>5
[1,2,6,7,5,3,4]=>[1,2,3,6,4,7,5]=>5
[1,2,6,7,5,4,3]=>[1,2,3,6,4,7,5]=>5
[1,3,2,4,5,6,7]=>[1,2,3,4,5,6,7]=>1
[1,3,2,4,5,7,6]=>[1,2,3,4,5,6,7]=>1
[1,3,2,4,6,5,7]=>[1,2,3,4,5,6,7]=>1
[1,3,2,4,6,7,5]=>[1,2,3,4,5,6,7]=>1
[1,3,2,4,7,5,6]=>[1,2,3,4,5,7,6]=>2
[1,3,2,4,7,6,5]=>[1,2,3,4,5,7,6]=>2
[1,3,2,5,4,6,7]=>[1,2,3,4,5,6,7]=>1
[1,3,2,5,4,7,6]=>[1,2,3,4,5,6,7]=>1
[1,3,2,5,6,4,7]=>[1,2,3,4,5,6,7]=>1
[1,3,2,5,6,7,4]=>[1,2,3,4,5,6,7]=>1
[1,3,2,5,7,4,6]=>[1,2,3,4,5,7,6]=>2
[1,3,2,5,7,6,4]=>[1,2,3,4,5,7,6]=>2
[1,3,2,6,4,5,7]=>[1,2,3,4,6,5,7]=>2
[1,3,2,6,5,4,7]=>[1,2,3,4,6,5,7]=>2
[1,3,2,6,7,4,5]=>[1,2,3,4,6,5,7]=>2
[1,3,2,6,7,5,4]=>[1,2,3,4,6,5,7]=>2
[1,3,4,2,5,6,7]=>[1,2,3,4,5,6,7]=>1
[1,3,4,2,5,7,6]=>[1,2,3,4,5,6,7]=>1
[1,3,4,2,6,5,7]=>[1,2,3,4,5,6,7]=>1
[1,3,4,2,6,7,5]=>[1,2,3,4,5,6,7]=>1
[1,3,4,2,7,5,6]=>[1,2,3,4,5,7,6]=>2
[1,3,4,2,7,6,5]=>[1,2,3,4,5,7,6]=>2
[1,3,4,5,2,6,7]=>[1,2,3,4,5,6,7]=>1
[1,3,4,5,2,7,6]=>[1,2,3,4,5,6,7]=>1
[1,3,4,5,6,2,7]=>[1,2,3,4,5,6,7]=>1
[1,3,4,5,6,7,2]=>[1,2,3,4,5,6,7]=>1
[1,3,4,5,7,2,6]=>[1,2,3,4,5,7,6]=>2
[1,3,4,5,7,6,2]=>[1,2,3,4,5,7,6]=>2
[1,3,4,6,2,5,7]=>[1,2,3,4,6,5,7]=>2
[1,3,4,6,5,2,7]=>[1,2,3,4,6,5,7]=>2
[1,3,4,6,7,2,5]=>[1,2,3,4,6,5,7]=>2
[1,3,4,6,7,5,2]=>[1,2,3,4,6,5,7]=>2
[1,3,6,7,2,4,5]=>[1,2,3,6,4,7,5]=>5
[1,3,6,7,4,2,5]=>[1,2,3,6,4,7,5]=>5
[1,3,6,7,5,2,4]=>[1,2,3,6,4,7,5]=>5
[1,3,6,7,5,4,2]=>[1,2,3,6,4,7,5]=>5
[1,6,2,7,4,3,5]=>[1,2,6,3,4,7,5]=>7
[1,6,2,7,5,3,4]=>[1,2,6,3,4,7,5]=>7
[1,6,3,7,4,2,5]=>[1,2,6,3,4,7,5]=>7
[1,6,3,7,5,2,4]=>[1,2,6,3,4,7,5]=>7
[1,6,4,7,2,3,5]=>[1,2,6,3,4,7,5]=>7
[1,6,4,7,3,2,5]=>[1,2,6,3,4,7,5]=>7
[1,6,4,7,5,2,3]=>[1,2,6,3,4,7,5]=>7
[1,6,4,7,5,3,2]=>[1,2,6,3,4,7,5]=>7
[2,1,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>1
[2,1,3,4,5,7,6]=>[1,2,3,4,5,6,7]=>1
[2,1,3,4,6,5,7]=>[1,2,3,4,5,6,7]=>1
[2,1,3,4,6,7,5]=>[1,2,3,4,5,6,7]=>1
[2,1,3,4,7,5,6]=>[1,2,3,4,5,7,6]=>2
[2,1,3,4,7,6,5]=>[1,2,3,4,5,7,6]=>2
[2,1,3,5,4,6,7]=>[1,2,3,4,5,6,7]=>1
[2,1,3,5,4,7,6]=>[1,2,3,4,5,6,7]=>1
[2,1,3,5,6,4,7]=>[1,2,3,4,5,6,7]=>1
[2,1,3,5,6,7,4]=>[1,2,3,4,5,6,7]=>1
[2,1,3,5,7,4,6]=>[1,2,3,4,5,7,6]=>2
[2,1,3,5,7,6,4]=>[1,2,3,4,5,7,6]=>2
[2,1,3,6,4,5,7]=>[1,2,3,4,6,5,7]=>2
[2,1,3,6,5,4,7]=>[1,2,3,4,6,5,7]=>2
[2,1,3,6,7,4,5]=>[1,2,3,4,6,5,7]=>2
[2,1,3,6,7,5,4]=>[1,2,3,4,6,5,7]=>2
[2,1,4,3,5,6,7]=>[1,2,3,4,5,6,7]=>1
[2,1,4,3,5,7,6]=>[1,2,3,4,5,6,7]=>1
[2,1,4,3,6,5,7]=>[1,2,3,4,5,6,7]=>1
[2,1,4,3,6,7,5]=>[1,2,3,4,5,6,7]=>1
[2,1,4,3,7,5,6]=>[1,2,3,4,5,7,6]=>2
[2,1,4,3,7,6,5]=>[1,2,3,4,5,7,6]=>2
[2,1,4,5,3,6,7]=>[1,2,3,4,5,6,7]=>1
[2,1,4,5,3,7,6]=>[1,2,3,4,5,6,7]=>1
[2,1,4,5,6,3,7]=>[1,2,3,4,5,6,7]=>1
[2,1,4,5,6,7,3]=>[1,2,3,4,5,6,7]=>1
[2,1,4,5,7,3,6]=>[1,2,3,4,5,7,6]=>2
[2,1,4,5,7,6,3]=>[1,2,3,4,5,7,6]=>2
[2,1,4,6,3,5,7]=>[1,2,3,4,6,5,7]=>2
[2,1,4,6,5,3,7]=>[1,2,3,4,6,5,7]=>2
[2,1,4,6,7,3,5]=>[1,2,3,4,6,5,7]=>2
[2,1,4,6,7,5,3]=>[1,2,3,4,6,5,7]=>2
[2,1,6,7,3,4,5]=>[1,2,3,6,4,7,5]=>5
[2,1,6,7,4,3,5]=>[1,2,3,6,4,7,5]=>5
[2,1,6,7,5,3,4]=>[1,2,3,6,4,7,5]=>5
[2,1,6,7,5,4,3]=>[1,2,3,6,4,7,5]=>5
[2,3,1,4,5,6,7]=>[1,2,3,4,5,6,7]=>1
[2,3,1,4,5,7,6]=>[1,2,3,4,5,6,7]=>1
[2,3,1,4,6,5,7]=>[1,2,3,4,5,6,7]=>1
[2,3,1,4,6,7,5]=>[1,2,3,4,5,6,7]=>1
[2,3,1,4,7,5,6]=>[1,2,3,4,5,7,6]=>2
[2,3,1,4,7,6,5]=>[1,2,3,4,5,7,6]=>2
[2,3,1,5,4,6,7]=>[1,2,3,4,5,6,7]=>1
[2,3,1,5,4,7,6]=>[1,2,3,4,5,6,7]=>1
[2,3,1,5,6,4,7]=>[1,2,3,4,5,6,7]=>1
[2,3,1,5,6,7,4]=>[1,2,3,4,5,6,7]=>1
[2,3,1,5,7,4,6]=>[1,2,3,4,5,7,6]=>2
[2,3,1,5,7,6,4]=>[1,2,3,4,5,7,6]=>2
[2,3,1,6,4,5,7]=>[1,2,3,4,6,5,7]=>2
[2,3,1,6,5,4,7]=>[1,2,3,4,6,5,7]=>2
[2,3,1,6,7,4,5]=>[1,2,3,4,6,5,7]=>2
[2,3,1,6,7,5,4]=>[1,2,3,4,6,5,7]=>2
[2,3,4,1,5,6,7]=>[1,2,3,4,5,6,7]=>1
[2,3,4,1,5,7,6]=>[1,2,3,4,5,6,7]=>1
[2,3,4,1,6,5,7]=>[1,2,3,4,5,6,7]=>1
[2,3,4,1,6,7,5]=>[1,2,3,4,5,6,7]=>1
[2,3,4,1,7,5,6]=>[1,2,3,4,5,7,6]=>2
[2,3,4,1,7,6,5]=>[1,2,3,4,5,7,6]=>2
[2,3,4,5,1,6,7]=>[1,2,3,4,5,6,7]=>1
[2,3,4,5,1,7,6]=>[1,2,3,4,5,6,7]=>1
[2,3,4,5,6,1,7]=>[1,2,3,4,5,6,7]=>1
[2,3,4,5,6,7,1]=>[1,2,3,4,5,6,7]=>1
[2,3,4,5,7,1,6]=>[1,2,3,4,5,7,6]=>2
[2,3,4,5,7,6,1]=>[1,2,3,4,5,7,6]=>2
[2,3,4,6,1,5,7]=>[1,2,3,4,6,5,7]=>2
[2,3,4,6,5,1,7]=>[1,2,3,4,6,5,7]=>2
[2,3,4,6,7,1,5]=>[1,2,3,4,6,5,7]=>2
[2,3,4,6,7,5,1]=>[1,2,3,4,6,5,7]=>2
[2,3,6,7,1,4,5]=>[1,2,3,6,4,7,5]=>5
[2,3,6,7,4,1,5]=>[1,2,3,6,4,7,5]=>5
[2,3,6,7,5,1,4]=>[1,2,3,6,4,7,5]=>5
[2,3,6,7,5,4,1]=>[1,2,3,6,4,7,5]=>5
[2,6,1,7,4,3,5]=>[1,2,6,3,4,7,5]=>7
[2,6,1,7,5,3,4]=>[1,2,6,3,4,7,5]=>7
[2,6,3,7,4,1,5]=>[1,2,6,3,4,7,5]=>7
[2,6,3,7,5,1,4]=>[1,2,6,3,4,7,5]=>7
[2,6,4,7,1,3,5]=>[1,2,6,3,4,7,5]=>7
[2,6,4,7,3,1,5]=>[1,2,6,3,4,7,5]=>7
[2,6,4,7,5,1,3]=>[1,2,6,3,4,7,5]=>7
[2,6,4,7,5,3,1]=>[1,2,6,3,4,7,5]=>7
[3,1,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>2
[3,1,2,4,5,7,6]=>[1,3,2,4,5,6,7]=>2
[3,1,2,4,6,5,7]=>[1,3,2,4,5,6,7]=>2
[3,1,2,4,6,7,5]=>[1,3,2,4,5,6,7]=>2
[3,1,2,5,4,6,7]=>[1,3,2,4,5,6,7]=>2
[3,1,2,5,4,7,6]=>[1,3,2,4,5,6,7]=>2
[3,1,2,5,6,4,7]=>[1,3,2,4,5,6,7]=>2
[3,1,2,5,6,7,4]=>[1,3,2,4,5,6,7]=>2
[3,1,7,2,4,5,6]=>[1,3,7,6,5,4,2]=>144
[3,1,7,4,5,6,2]=>[1,3,7,2,4,5,6]=>9
[3,1,7,4,6,5,2]=>[1,3,7,2,4,5,6]=>9
[3,1,7,5,4,6,2]=>[1,3,7,2,4,5,6]=>9
[3,1,7,5,6,4,2]=>[1,3,7,2,4,5,6]=>9
[3,2,1,4,5,6,7]=>[1,3,2,4,5,6,7]=>2
[3,2,1,4,5,7,6]=>[1,3,2,4,5,6,7]=>2
[3,2,1,4,6,5,7]=>[1,3,2,4,5,6,7]=>2
[3,2,1,4,6,7,5]=>[1,3,2,4,5,6,7]=>2
[3,2,1,5,4,6,7]=>[1,3,2,4,5,6,7]=>2
[3,2,1,5,4,7,6]=>[1,3,2,4,5,6,7]=>2
[3,2,1,5,6,4,7]=>[1,3,2,4,5,6,7]=>2
[3,2,1,5,6,7,4]=>[1,3,2,4,5,6,7]=>2
[3,2,7,1,4,5,6]=>[1,3,7,6,5,4,2]=>144
[3,2,7,4,5,6,1]=>[1,3,7,2,4,5,6]=>9
[3,2,7,4,6,5,1]=>[1,3,7,2,4,5,6]=>9
[3,2,7,5,4,6,1]=>[1,3,7,2,4,5,6]=>9
[3,2,7,5,6,4,1]=>[1,3,7,2,4,5,6]=>9
[3,4,1,2,5,6,7]=>[1,3,2,4,5,6,7]=>2
[3,4,1,2,5,7,6]=>[1,3,2,4,5,6,7]=>2
[3,4,1,2,6,5,7]=>[1,3,2,4,5,6,7]=>2
[3,4,1,2,6,7,5]=>[1,3,2,4,5,6,7]=>2
[3,4,1,5,2,6,7]=>[1,3,2,4,5,6,7]=>2
[3,4,1,5,2,7,6]=>[1,3,2,4,5,6,7]=>2
[3,4,1,5,6,2,7]=>[1,3,2,4,5,6,7]=>2
[3,4,1,5,6,7,2]=>[1,3,2,4,5,6,7]=>2
[3,4,2,1,5,6,7]=>[1,3,2,4,5,6,7]=>2
[3,4,2,1,5,7,6]=>[1,3,2,4,5,6,7]=>2
[3,4,2,1,6,5,7]=>[1,3,2,4,5,6,7]=>2
[3,4,2,1,6,7,5]=>[1,3,2,4,5,6,7]=>2
[3,4,2,5,1,6,7]=>[1,3,2,4,5,6,7]=>2
[3,4,2,5,1,7,6]=>[1,3,2,4,5,6,7]=>2
[3,4,2,5,6,1,7]=>[1,3,2,4,5,6,7]=>2
[3,4,2,5,6,7,1]=>[1,3,2,4,5,6,7]=>2
[3,4,7,1,5,6,2]=>[1,3,7,2,4,5,6]=>9
[3,4,7,1,6,5,2]=>[1,3,7,2,4,5,6]=>9
[3,4,7,2,5,6,1]=>[1,3,7,2,4,5,6]=>9
[3,4,7,2,6,5,1]=>[1,3,7,2,4,5,6]=>9
[3,4,7,5,1,6,2]=>[1,3,7,2,4,5,6]=>9
[3,4,7,5,2,6,1]=>[1,3,7,2,4,5,6]=>9
[3,4,7,5,6,1,2]=>[1,3,7,2,4,5,6]=>9
[3,4,7,5,6,2,1]=>[1,3,7,2,4,5,6]=>9
[4,1,2,6,3,7,5]=>[1,4,6,7,5,3,2]=>90
[4,1,2,7,3,5,6]=>[1,4,7,6,5,3,2]=>180
[4,1,3,6,5,7,2]=>[1,4,6,7,2,3,5]=>19
[4,1,3,7,5,6,2]=>[1,4,7,2,3,5,6]=>12
[4,1,3,7,6,5,2]=>[1,4,7,2,3,5,6]=>12
[4,1,5,6,3,7,2]=>[1,4,6,7,2,3,5]=>19
[4,1,5,7,3,6,2]=>[1,4,7,2,3,5,6]=>12
[4,1,5,7,6,3,2]=>[1,4,7,2,3,5,6]=>12
[4,2,1,6,3,7,5]=>[1,4,6,7,5,3,2]=>90
[4,2,1,7,3,5,6]=>[1,4,7,6,5,3,2]=>180
[4,2,3,6,5,7,1]=>[1,4,6,7,2,3,5]=>19
[4,2,3,7,5,6,1]=>[1,4,7,2,3,5,6]=>12
[4,2,3,7,6,5,1]=>[1,4,7,2,3,5,6]=>12
[4,2,5,6,3,7,1]=>[1,4,6,7,2,3,5]=>19
[4,2,5,7,3,6,1]=>[1,4,7,2,3,5,6]=>12
[4,2,5,7,6,3,1]=>[1,4,7,2,3,5,6]=>12
[4,3,1,6,5,7,2]=>[1,4,6,7,2,3,5]=>19
[4,3,1,7,5,6,2]=>[1,4,7,2,3,5,6]=>12
[4,3,1,7,6,5,2]=>[1,4,7,2,3,5,6]=>12
[4,3,2,6,5,7,1]=>[1,4,6,7,2,3,5]=>19
[4,3,2,7,5,6,1]=>[1,4,7,2,3,5,6]=>12
[4,3,2,7,6,5,1]=>[1,4,7,2,3,5,6]=>12
[4,3,5,6,1,7,2]=>[1,4,6,7,2,3,5]=>19
[4,3,5,6,2,7,1]=>[1,4,6,7,2,3,5]=>19
[4,3,5,7,1,6,2]=>[1,4,7,2,3,5,6]=>12
[4,3,5,7,2,6,1]=>[1,4,7,2,3,5,6]=>12
[4,3,5,7,6,1,2]=>[1,4,7,2,3,5,6]=>12
[4,3,5,7,6,2,1]=>[1,4,7,2,3,5,6]=>12
[5,1,2,3,6,7,4]=>[1,5,6,7,4,3,2]=>120
[5,1,2,3,7,4,6]=>[1,5,7,6,4,3,2]=>240
[5,1,2,7,4,3,6]=>[1,5,4,7,6,3,2]=>120
[5,1,2,7,6,4,3]=>[1,5,6,4,7,3,2]=>90
[5,1,3,4,6,7,2]=>[1,5,6,7,2,3,4]=>20
[5,1,3,4,7,6,2]=>[1,5,7,2,3,4,6]=>14
[5,1,3,6,7,4,2]=>[1,5,7,2,3,4,6]=>14
[5,1,3,7,2,4,6]=>[1,5,2,3,4,7,6]=>8
[5,1,3,7,2,6,4]=>[1,5,2,3,4,7,6]=>8
[5,1,4,3,6,7,2]=>[1,5,6,7,2,3,4]=>20
[5,1,4,3,7,6,2]=>[1,5,7,2,3,4,6]=>14
[5,1,4,6,7,3,2]=>[1,5,7,2,3,4,6]=>14
[5,1,4,7,2,3,6]=>[1,5,2,3,4,7,6]=>8
[5,1,4,7,2,6,3]=>[1,5,2,3,4,7,6]=>8
[5,2,1,3,6,7,4]=>[1,5,6,7,4,3,2]=>120
[5,2,1,3,7,4,6]=>[1,5,7,6,4,3,2]=>240
[5,2,1,7,4,3,6]=>[1,5,4,7,6,3,2]=>120
[5,2,1,7,6,4,3]=>[1,5,6,4,7,3,2]=>90
[5,2,3,4,6,7,1]=>[1,5,6,7,2,3,4]=>20
[5,2,3,4,7,6,1]=>[1,5,7,2,3,4,6]=>14
[5,2,3,6,7,4,1]=>[1,5,7,2,3,4,6]=>14
[5,2,3,7,1,4,6]=>[1,5,2,3,4,7,6]=>8
[5,2,3,7,1,6,4]=>[1,5,2,3,4,7,6]=>8
[5,2,4,3,6,7,1]=>[1,5,6,7,2,3,4]=>20
[5,2,4,3,7,6,1]=>[1,5,7,2,3,4,6]=>14
[5,2,4,6,7,3,1]=>[1,5,7,2,3,4,6]=>14
[5,2,4,7,1,3,6]=>[1,5,2,3,4,7,6]=>8
[5,2,4,7,1,6,3]=>[1,5,2,3,4,7,6]=>8
[5,3,1,4,6,7,2]=>[1,5,6,7,2,3,4]=>20
[5,3,1,4,7,6,2]=>[1,5,7,2,3,4,6]=>14
[5,3,1,6,7,4,2]=>[1,5,7,2,3,4,6]=>14
[5,3,1,7,2,4,6]=>[1,5,2,3,4,7,6]=>8
[5,3,1,7,2,6,4]=>[1,5,2,3,4,7,6]=>8
[5,3,2,4,6,7,1]=>[1,5,6,7,2,3,4]=>20
[5,3,2,4,7,6,1]=>[1,5,7,2,3,4,6]=>14
[5,3,2,6,7,4,1]=>[1,5,7,2,3,4,6]=>14
[5,3,2,7,1,4,6]=>[1,5,2,3,4,7,6]=>8
[5,3,2,7,1,6,4]=>[1,5,2,3,4,7,6]=>8
[5,3,4,1,6,7,2]=>[1,5,6,7,2,3,4]=>20
[5,3,4,1,7,6,2]=>[1,5,7,2,3,4,6]=>14
[5,3,4,2,6,7,1]=>[1,5,6,7,2,3,4]=>20
[5,3,4,2,7,6,1]=>[1,5,7,2,3,4,6]=>14
[5,3,4,6,7,1,2]=>[1,5,7,2,3,4,6]=>14
[5,3,4,6,7,2,1]=>[1,5,7,2,3,4,6]=>14
[5,3,4,7,1,2,6]=>[1,5,2,3,4,7,6]=>8
[5,3,4,7,1,6,2]=>[1,5,2,3,4,7,6]=>8
[5,3,4,7,2,1,6]=>[1,5,2,3,4,7,6]=>8
[5,3,4,7,2,6,1]=>[1,5,2,3,4,7,6]=>8
[5,7,1,4,2,6,3]=>[1,5,2,7,3,4,6]=>13
[5,7,1,4,6,2,3]=>[1,5,6,2,7,3,4]=>19
[5,7,1,6,2,4,3]=>[1,5,2,7,3,4,6]=>13
[5,7,2,4,1,6,3]=>[1,5,2,7,3,4,6]=>13
[5,7,2,4,6,1,3]=>[1,5,6,2,7,3,4]=>19
[5,7,2,6,1,4,3]=>[1,5,2,7,3,4,6]=>13
[5,7,3,4,1,6,2]=>[1,5,2,7,3,4,6]=>13
[5,7,3,4,2,6,1]=>[1,5,2,7,3,4,6]=>13
[5,7,3,4,6,1,2]=>[1,5,6,2,7,3,4]=>19
[5,7,3,4,6,2,1]=>[1,5,6,2,7,3,4]=>19
[5,7,3,6,1,4,2]=>[1,5,2,7,3,4,6]=>13
[5,7,3,6,2,4,1]=>[1,5,2,7,3,4,6]=>13
[5,7,4,1,2,6,3]=>[1,5,2,7,3,4,6]=>13
[5,7,4,1,6,2,3]=>[1,5,6,2,7,3,4]=>19
[5,7,4,2,1,6,3]=>[1,5,2,7,3,4,6]=>13
[5,7,4,2,6,1,3]=>[1,5,6,2,7,3,4]=>19
[5,7,4,3,1,6,2]=>[1,5,2,7,3,4,6]=>13
[5,7,4,3,2,6,1]=>[1,5,2,7,3,4,6]=>13
[5,7,4,3,6,1,2]=>[1,5,6,2,7,3,4]=>19
[5,7,4,3,6,2,1]=>[1,5,6,2,7,3,4]=>19
[5,7,4,6,1,2,3]=>[1,5,2,7,3,4,6]=>13
[5,7,4,6,1,3,2]=>[1,5,2,7,3,4,6]=>13
[5,7,4,6,2,1,3]=>[1,5,2,7,3,4,6]=>13
[5,7,4,6,2,3,1]=>[1,5,2,7,3,4,6]=>13
[6,1,2,3,4,7,5]=>[1,6,7,5,4,3,2]=>360
[6,1,2,3,7,5,4]=>[1,6,5,7,4,3,2]=>240
[6,1,2,7,4,5,3]=>[1,6,5,4,7,3,2]=>180
[6,1,3,4,5,7,2]=>[1,6,7,2,3,4,5]=>15
[6,1,3,5,4,7,2]=>[1,6,7,2,3,4,5]=>15
[6,1,3,7,4,2,5]=>[1,6,2,3,4,7,5]=>9
[6,1,3,7,5,2,4]=>[1,6,2,3,4,7,5]=>9
[6,1,4,3,5,7,2]=>[1,6,7,2,3,4,5]=>15
[6,1,4,5,3,7,2]=>[1,6,7,2,3,4,5]=>15
[6,1,4,7,3,2,5]=>[1,6,2,3,4,7,5]=>9
[6,1,4,7,5,2,3]=>[1,6,2,3,4,7,5]=>9
[6,1,7,3,4,5,2]=>[1,6,5,4,3,7,2]=>144
[6,1,7,3,5,2,4]=>[1,6,2,3,7,4,5]=>12
[6,1,7,4,5,2,3]=>[1,6,2,3,7,4,5]=>12
[6,1,7,5,3,2,4]=>[1,6,2,3,7,4,5]=>12
[6,1,7,5,4,2,3]=>[1,6,2,3,7,4,5]=>12
[6,2,1,3,4,7,5]=>[1,6,7,5,4,3,2]=>360
[6,2,1,3,7,5,4]=>[1,6,5,7,4,3,2]=>240
[6,2,1,7,4,5,3]=>[1,6,5,4,7,3,2]=>180
[6,2,3,4,5,7,1]=>[1,6,7,2,3,4,5]=>15
[6,2,3,5,4,7,1]=>[1,6,7,2,3,4,5]=>15
[6,2,3,7,4,1,5]=>[1,6,2,3,4,7,5]=>9
[6,2,3,7,5,1,4]=>[1,6,2,3,4,7,5]=>9
[6,2,4,3,5,7,1]=>[1,6,7,2,3,4,5]=>15
[6,2,4,5,3,7,1]=>[1,6,7,2,3,4,5]=>15
[6,2,4,7,3,1,5]=>[1,6,2,3,4,7,5]=>9
[6,2,4,7,5,1,3]=>[1,6,2,3,4,7,5]=>9
[6,2,7,3,4,5,1]=>[1,6,5,4,3,7,2]=>144
[6,2,7,3,5,1,4]=>[1,6,2,3,7,4,5]=>12
[6,2,7,4,5,1,3]=>[1,6,2,3,7,4,5]=>12
[6,2,7,5,3,1,4]=>[1,6,2,3,7,4,5]=>12
[6,2,7,5,4,1,3]=>[1,6,2,3,7,4,5]=>12
[6,3,1,4,5,7,2]=>[1,6,7,2,3,4,5]=>15
[6,3,1,5,4,7,2]=>[1,6,7,2,3,4,5]=>15
[6,3,1,7,4,2,5]=>[1,6,2,3,4,7,5]=>9
[6,3,1,7,5,2,4]=>[1,6,2,3,4,7,5]=>9
[6,3,2,4,5,7,1]=>[1,6,7,2,3,4,5]=>15
[6,3,2,5,4,7,1]=>[1,6,7,2,3,4,5]=>15
[6,3,2,7,4,1,5]=>[1,6,2,3,4,7,5]=>9
[6,3,2,7,5,1,4]=>[1,6,2,3,4,7,5]=>9
[6,3,4,1,5,7,2]=>[1,6,7,2,3,4,5]=>15
[6,3,4,2,5,7,1]=>[1,6,7,2,3,4,5]=>15
[6,3,4,5,1,7,2]=>[1,6,7,2,3,4,5]=>15
[6,3,4,5,2,7,1]=>[1,6,7,2,3,4,5]=>15
[6,3,4,7,1,2,5]=>[1,6,2,3,4,7,5]=>9
[6,3,4,7,2,1,5]=>[1,6,2,3,4,7,5]=>9
[6,3,4,7,5,1,2]=>[1,6,2,3,4,7,5]=>9
[6,3,4,7,5,2,1]=>[1,6,2,3,4,7,5]=>9
[6,3,7,1,5,2,4]=>[1,6,2,3,7,4,5]=>12
[6,3,7,2,5,1,4]=>[1,6,2,3,7,4,5]=>12
[6,3,7,4,5,1,2]=>[1,6,2,3,7,4,5]=>12
[6,3,7,4,5,2,1]=>[1,6,2,3,7,4,5]=>12
[6,3,7,5,1,2,4]=>[1,6,2,3,7,4,5]=>12
[6,3,7,5,2,1,4]=>[1,6,2,3,7,4,5]=>12
[6,3,7,5,4,1,2]=>[1,6,2,3,7,4,5]=>12
[6,3,7,5,4,2,1]=>[1,6,2,3,7,4,5]=>12
[6,7,1,4,5,2,3]=>[1,6,2,7,3,4,5]=>14
[6,7,1,5,4,2,3]=>[1,6,2,7,3,4,5]=>14
[6,7,2,4,5,1,3]=>[1,6,2,7,3,4,5]=>14
[6,7,2,5,4,1,3]=>[1,6,2,7,3,4,5]=>14
[6,7,3,4,5,1,2]=>[1,6,2,7,3,4,5]=>14
[6,7,3,4,5,2,1]=>[1,6,2,7,3,4,5]=>14
[6,7,3,5,4,1,2]=>[1,6,2,7,3,4,5]=>14
[6,7,3,5,4,2,1]=>[1,6,2,7,3,4,5]=>14
[6,7,4,1,5,2,3]=>[1,6,2,7,3,4,5]=>14
[6,7,4,2,5,1,3]=>[1,6,2,7,3,4,5]=>14
[6,7,4,3,5,1,2]=>[1,6,2,7,3,4,5]=>14
[6,7,4,3,5,2,1]=>[1,6,2,7,3,4,5]=>14
[6,7,4,5,1,2,3]=>[1,6,2,7,3,4,5]=>14
[6,7,4,5,2,1,3]=>[1,6,2,7,3,4,5]=>14
[6,7,4,5,3,1,2]=>[1,6,2,7,3,4,5]=>14
[6,7,4,5,3,2,1]=>[1,6,2,7,3,4,5]=>14
[7,1,2,3,4,5,6]=>[1,7,6,5,4,3,2]=>720
[7,1,2,5,3,4,6]=>[1,7,6,4,5,3,2]=>360
[7,1,2,5,6,3,4]=>[1,7,4,5,6,3,2]=>120
[7,1,2,6,3,5,4]=>[1,7,4,6,5,3,2]=>240
[7,1,2,6,4,3,5]=>[1,7,5,4,6,3,2]=>240
[7,1,3,4,5,6,2]=>[1,7,2,3,4,5,6]=>6
[7,1,3,4,6,5,2]=>[1,7,2,3,4,5,6]=>6
[7,1,3,5,4,6,2]=>[1,7,2,3,4,5,6]=>6
[7,1,3,5,6,4,2]=>[1,7,2,3,4,5,6]=>6
[7,1,4,3,5,6,2]=>[1,7,2,3,4,5,6]=>6
[7,1,4,3,6,5,2]=>[1,7,2,3,4,5,6]=>6
[7,1,4,5,3,6,2]=>[1,7,2,3,4,5,6]=>6
[7,1,4,5,6,3,2]=>[1,7,2,3,4,5,6]=>6
[7,1,5,2,6,4,3]=>[1,7,3,5,6,4,2]=>90
[7,1,6,2,4,5,3]=>[1,7,3,6,5,4,2]=>180
[7,1,6,3,2,5,4]=>[1,7,4,3,6,5,2]=>120
[7,1,6,3,4,2,5]=>[1,7,5,4,3,6,2]=>180
[7,1,6,5,3,2,4]=>[1,7,4,5,3,6,2]=>90
[7,2,1,3,4,5,6]=>[1,7,6,5,4,3,2]=>720
[7,2,1,5,3,4,6]=>[1,7,6,4,5,3,2]=>360
[7,2,1,5,6,3,4]=>[1,7,4,5,6,3,2]=>120
[7,2,1,6,3,5,4]=>[1,7,4,6,5,3,2]=>240
[7,2,1,6,4,3,5]=>[1,7,5,4,6,3,2]=>240
[7,2,3,4,5,6,1]=>[1,7,2,3,4,5,6]=>6
[7,2,3,4,6,5,1]=>[1,7,2,3,4,5,6]=>6
[7,2,3,5,4,6,1]=>[1,7,2,3,4,5,6]=>6
[7,2,3,5,6,4,1]=>[1,7,2,3,4,5,6]=>6
[7,2,4,3,5,6,1]=>[1,7,2,3,4,5,6]=>6
[7,2,4,3,6,5,1]=>[1,7,2,3,4,5,6]=>6
[7,2,4,5,3,6,1]=>[1,7,2,3,4,5,6]=>6
[7,2,4,5,6,3,1]=>[1,7,2,3,4,5,6]=>6
[7,2,5,1,6,4,3]=>[1,7,3,5,6,4,2]=>90
[7,2,6,1,4,5,3]=>[1,7,3,6,5,4,2]=>180
[7,2,6,3,1,5,4]=>[1,7,4,3,6,5,2]=>120
[7,2,6,3,4,1,5]=>[1,7,5,4,3,6,2]=>180
[7,2,6,5,3,1,4]=>[1,7,4,5,3,6,2]=>90
[7,3,1,4,5,6,2]=>[1,7,2,3,4,5,6]=>6
[7,3,1,4,6,5,2]=>[1,7,2,3,4,5,6]=>6
[7,3,1,5,4,6,2]=>[1,7,2,3,4,5,6]=>6
[7,3,1,5,6,4,2]=>[1,7,2,3,4,5,6]=>6
[7,3,2,4,5,6,1]=>[1,7,2,3,4,5,6]=>6
[7,3,2,4,6,5,1]=>[1,7,2,3,4,5,6]=>6
[7,3,2,5,4,6,1]=>[1,7,2,3,4,5,6]=>6
[7,3,2,5,6,4,1]=>[1,7,2,3,4,5,6]=>6
[7,3,4,1,5,6,2]=>[1,7,2,3,4,5,6]=>6
[7,3,4,1,6,5,2]=>[1,7,2,3,4,5,6]=>6
[7,3,4,2,5,6,1]=>[1,7,2,3,4,5,6]=>6
[7,3,4,2,6,5,1]=>[1,7,2,3,4,5,6]=>6
[7,3,4,5,1,6,2]=>[1,7,2,3,4,5,6]=>6
[7,3,4,5,2,6,1]=>[1,7,2,3,4,5,6]=>6
[7,3,4,5,6,1,2]=>[1,7,2,3,4,5,6]=>6
[7,3,4,5,6,2,1]=>[1,7,2,3,4,5,6]=>6
[2,3,4,5,6,7,8,1]=>[1,2,3,4,5,6,7,8]=>1
[8,2,1,3,4,5,6,7]=>[1,8,7,6,5,4,3,2]=>5040
[8,1,2,3,4,5,6,7]=>[1,8,7,6,5,4,3,2]=>5040
[2,3,4,5,6,7,1,8]=>[1,2,3,4,5,6,7,8]=>1
[2,3,4,5,6,1,7,8]=>[1,2,3,4,5,6,7,8]=>1
[2,3,4,5,1,6,7,8]=>[1,2,3,4,5,6,7,8]=>1
[2,3,4,1,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>1
[2,3,1,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>1
[2,1,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>1
[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>1
[2,3,5,4,6,7,8,1]=>[1,2,3,5,6,7,8,4]=>5
[1,3,5,4,6,7,8,2]=>[1,2,3,5,6,7,8,4]=>5
[1,3,4,5,6,7,8,2]=>[1,2,3,4,5,6,7,8]=>1
[2,1,5,4,6,7,8,3]=>[1,2,3,5,6,7,8,4]=>5
[2,1,4,5,6,7,8,3]=>[1,2,3,4,5,6,7,8]=>1
[1,2,5,4,6,7,8,3]=>[1,2,3,5,6,7,8,4]=>5
[1,2,4,5,6,7,8,3]=>[1,2,3,4,5,6,7,8]=>1
[2,3,1,5,6,7,8,4]=>[1,2,3,4,5,6,7,8]=>1
[1,3,2,5,6,7,8,4]=>[1,2,3,4,5,6,7,8]=>1
[2,1,3,5,6,7,8,4]=>[1,2,3,4,5,6,7,8]=>1
[1,2,3,5,6,7,8,4]=>[1,2,3,4,5,6,7,8]=>1
[2,3,4,1,6,7,8,5]=>[1,2,3,4,5,6,7,8]=>1
[1,3,4,2,6,7,8,5]=>[1,2,3,4,5,6,7,8]=>1
[2,1,4,3,6,7,8,5]=>[1,2,3,4,5,6,7,8]=>1
[1,2,4,3,6,7,8,5]=>[1,2,3,4,5,6,7,8]=>1
[2,3,1,4,6,7,8,5]=>[1,2,3,4,5,6,7,8]=>1
[1,3,2,4,6,7,8,5]=>[1,2,3,4,5,6,7,8]=>1
[2,1,3,4,6,7,8,5]=>[1,2,3,4,5,6,7,8]=>1
[1,2,3,4,6,7,8,5]=>[1,2,3,4,5,6,7,8]=>1
[2,3,4,5,1,7,8,6]=>[1,2,3,4,5,6,7,8]=>1
[1,3,4,5,2,7,8,6]=>[1,2,3,4,5,6,7,8]=>1
[1,2,4,5,3,7,8,6]=>[1,2,3,4,5,6,7,8]=>1
[1,3,2,5,4,7,8,6]=>[1,2,3,4,5,6,7,8]=>1
[2,1,3,5,4,7,8,6]=>[1,2,3,4,5,6,7,8]=>1
[1,2,3,5,4,7,8,6]=>[1,2,3,4,5,6,7,8]=>1
[2,3,4,1,5,7,8,6]=>[1,2,3,4,5,6,7,8]=>1
[1,3,4,2,5,7,8,6]=>[1,2,3,4,5,6,7,8]=>1
[2,1,4,3,5,7,8,6]=>[1,2,3,4,5,6,7,8]=>1
[1,2,4,3,5,7,8,6]=>[1,2,3,4,5,6,7,8]=>1
[2,3,1,4,5,7,8,6]=>[1,2,3,4,5,6,7,8]=>1
[1,3,2,4,5,7,8,6]=>[1,2,3,4,5,6,7,8]=>1
[2,1,3,4,5,7,8,6]=>[1,2,3,4,5,6,7,8]=>1
[1,2,3,4,5,7,8,6]=>[1,2,3,4,5,6,7,8]=>1
[2,3,4,5,6,1,8,7]=>[1,2,3,4,5,6,7,8]=>1
[1,3,4,5,6,2,8,7]=>[1,2,3,4,5,6,7,8]=>1
[2,1,4,5,6,3,8,7]=>[1,2,3,4,5,6,7,8]=>1
[1,2,4,5,6,3,8,7]=>[1,2,3,4,5,6,7,8]=>1
[1,3,2,5,6,4,8,7]=>[1,2,3,4,5,6,7,8]=>1
[2,1,3,5,6,4,8,7]=>[1,2,3,4,5,6,7,8]=>1
[1,2,3,5,6,4,8,7]=>[1,2,3,4,5,6,7,8]=>1
[2,3,4,1,6,5,8,7]=>[1,2,3,4,5,6,7,8]=>1
[1,3,4,2,6,5,8,7]=>[1,2,3,4,5,6,7,8]=>1
[2,1,4,3,6,5,8,7]=>[1,2,3,4,5,6,7,8]=>1
[1,2,4,3,6,5,8,7]=>[1,2,3,4,5,6,7,8]=>1
[2,3,1,4,6,5,8,7]=>[1,2,3,4,5,6,7,8]=>1
[1,3,2,4,6,5,8,7]=>[1,2,3,4,5,6,7,8]=>1
[2,1,3,4,6,5,8,7]=>[1,2,3,4,5,6,7,8]=>1
[1,2,3,4,6,5,8,7]=>[1,2,3,4,5,6,7,8]=>1
[2,3,4,5,1,6,8,7]=>[1,2,3,4,5,6,7,8]=>1
[1,3,4,5,2,6,8,7]=>[1,2,3,4,5,6,7,8]=>1
[2,1,4,5,3,6,8,7]=>[1,2,3,4,5,6,7,8]=>1
[2,1,3,5,4,6,8,7]=>[1,2,3,4,5,6,7,8]=>1
[1,2,3,5,4,6,8,7]=>[1,2,3,4,5,6,7,8]=>1
[2,3,4,1,5,6,8,7]=>[1,2,3,4,5,6,7,8]=>1
[1,3,4,2,5,6,8,7]=>[1,2,3,4,5,6,7,8]=>1
[2,1,4,3,5,6,8,7]=>[1,2,3,4,5,6,7,8]=>1
[1,2,4,3,5,6,8,7]=>[1,2,3,4,5,6,7,8]=>1
[2,3,1,4,5,6,8,7]=>[1,2,3,4,5,6,7,8]=>1
[1,3,2,4,5,6,8,7]=>[1,2,3,4,5,6,7,8]=>1
[2,1,3,4,5,6,8,7]=>[1,2,3,4,5,6,7,8]=>1
[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,7,8]=>1
[1,3,4,5,6,7,2,8]=>[1,2,3,4,5,6,7,8]=>1
[2,1,4,5,6,7,3,8]=>[1,2,3,4,5,6,7,8]=>1
[1,2,4,5,6,7,3,8]=>[1,2,3,4,5,6,7,8]=>1
[2,3,1,5,6,7,4,8]=>[1,2,3,4,5,6,7,8]=>1
[1,3,2,5,6,7,4,8]=>[1,2,3,4,5,6,7,8]=>1
[1,2,3,5,6,7,4,8]=>[1,2,3,4,5,6,7,8]=>1
[2,3,4,1,6,7,5,8]=>[1,2,3,4,5,6,7,8]=>1
[1,3,4,2,6,7,5,8]=>[1,2,3,4,5,6,7,8]=>1
[2,1,4,3,6,7,5,8]=>[1,2,3,4,5,6,7,8]=>1
[1,2,4,3,6,7,5,8]=>[1,2,3,4,5,6,7,8]=>1
[2,3,1,4,6,7,5,8]=>[1,2,3,4,5,6,7,8]=>1
[1,3,2,4,6,7,5,8]=>[1,2,3,4,5,6,7,8]=>1
[2,1,3,4,6,7,5,8]=>[1,2,3,4,5,6,7,8]=>1
[1,2,3,4,6,7,5,8]=>[1,2,3,4,5,6,7,8]=>1
[2,3,4,5,1,7,6,8]=>[1,2,3,4,5,6,7,8]=>1
[1,3,4,5,2,7,6,8]=>[1,2,3,4,5,6,7,8]=>1
[1,2,4,5,3,7,6,8]=>[1,2,3,4,5,6,7,8]=>1
[2,3,1,5,4,7,6,8]=>[1,2,3,4,5,6,7,8]=>1
[1,3,2,5,4,7,6,8]=>[1,2,3,4,5,6,7,8]=>1
[1,2,3,5,4,7,6,8]=>[1,2,3,4,5,6,7,8]=>1
[2,3,4,1,5,7,6,8]=>[1,2,3,4,5,6,7,8]=>1
[1,3,4,2,5,7,6,8]=>[1,2,3,4,5,6,7,8]=>1
[1,2,4,3,5,7,6,8]=>[1,2,3,4,5,6,7,8]=>1
[2,3,1,4,5,7,6,8]=>[1,2,3,4,5,6,7,8]=>1
[1,3,2,4,5,7,6,8]=>[1,2,3,4,5,6,7,8]=>1
[2,1,3,4,5,7,6,8]=>[1,2,3,4,5,6,7,8]=>1
[1,2,3,4,5,7,6,8]=>[1,2,3,4,5,6,7,8]=>1
[1,3,4,5,6,2,7,8]=>[1,2,3,4,5,6,7,8]=>1
[1,2,4,5,6,3,7,8]=>[1,2,3,4,5,6,7,8]=>1
[2,3,1,5,6,4,7,8]=>[1,2,3,4,5,6,7,8]=>1
[1,3,2,5,6,4,7,8]=>[1,2,3,4,5,6,7,8]=>1
[1,2,3,5,6,4,7,8]=>[1,2,3,4,5,6,7,8]=>1
[2,3,4,1,6,5,7,8]=>[1,2,3,4,5,6,7,8]=>1
[2,1,4,3,6,5,7,8]=>[1,2,3,4,5,6,7,8]=>1
[1,2,4,3,6,5,7,8]=>[1,2,3,4,5,6,7,8]=>1
[1,3,2,4,6,5,7,8]=>[1,2,3,4,5,6,7,8]=>1
[2,1,3,4,6,5,7,8]=>[1,2,3,4,5,6,7,8]=>1
[1,2,3,4,6,5,7,8]=>[1,2,3,4,5,6,7,8]=>1
[1,3,4,5,2,6,7,8]=>[1,2,3,4,5,6,7,8]=>1
[2,1,4,5,3,6,7,8]=>[1,2,3,4,5,6,7,8]=>1
[1,2,4,5,3,6,7,8]=>[1,2,3,4,5,6,7,8]=>1
[2,3,1,5,4,6,7,8]=>[1,2,3,4,5,6,7,8]=>1
[1,3,2,5,4,6,7,8]=>[1,2,3,4,5,6,7,8]=>1
[2,1,3,5,4,6,7,8]=>[1,2,3,4,5,6,7,8]=>1
[1,2,3,5,4,6,7,8]=>[1,2,3,4,5,6,7,8]=>1
[1,3,4,2,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>1
[2,1,4,3,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>1
[1,2,4,3,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>1
[1,3,2,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>1
[2,1,5,3,6,7,8,4]=>[1,2,3,5,6,7,8,4]=>5
[2,3,5,1,6,7,8,4]=>[1,2,3,5,6,7,8,4]=>5
[2,6,1,3,4,7,8,5]=>[1,2,6,7,8,5,4,3]=>120
[3,1,5,2,7,4,8,6]=>[1,3,5,7,8,6,4,2]=>105
[1,3,5,2,6,7,8,4]=>[1,2,3,5,6,7,8,4]=>5
[1,2,5,3,6,7,8,4]=>[1,2,3,5,6,7,8,4]=>5
[5,1,2,3,8,4,6,7]=>[1,5,8,7,6,4,3,2]=>1260
[6,1,2,3,4,7,8,5]=>[1,6,7,8,5,4,3,2]=>840
[1,6,2,3,4,7,8,5]=>[1,2,6,7,8,5,4,3]=>120
[6,1,2,3,4,8,5,7]=>[1,6,8,7,5,4,3,2]=>1680
[7,1,2,3,4,5,8,6]=>[1,7,8,6,5,4,3,2]=>2520
[3,2,5,1,7,4,8,6]=>[1,3,5,7,8,6,4,2]=>105
[7,2,1,3,4,8,6,5]=>[1,7,6,8,5,4,3,2]=>1680
[7,1,2,3,8,5,6,4]=>[1,7,6,5,8,4,3,2]=>1260
[4,2,6,3,8,5,1,7]=>[1,4,3,6,5,8,7,2]=>56
[4,1,6,3,8,5,2,7]=>[1,4,3,6,5,8,7,2]=>56
[4,1,8,3,2,5,6,7]=>[1,4,3,8,7,6,5,2]=>336
[6,1,8,3,4,5,2,7]=>[1,6,5,4,3,8,7,2]=>336
[7,1,2,3,4,8,6,5]=>[1,7,6,8,5,4,3,2]=>1680
[4,2,8,3,1,5,6,7]=>[1,4,3,8,7,6,5,2]=>336
[7,2,1,3,4,5,8,6]=>[1,7,8,6,5,4,3,2]=>2520
[1,6,3,2,4,7,8,5]=>[1,2,6,7,8,5,4,3]=>120
[6,2,1,3,4,7,8,5]=>[1,6,7,8,5,4,3,2]=>840
[6,2,8,3,4,5,1,7]=>[1,6,5,4,3,8,7,2]=>336
[5,2,1,3,8,4,6,7]=>[1,5,8,7,6,4,3,2]=>1260
[2,6,3,1,4,7,8,5]=>[1,2,6,7,8,5,4,3]=>120
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Description
The number of permutations less than or equal to a permutation in left weak order.
This is the same as the number of permutations less than or equal to the given permutation in right weak order.
This is the same as the number of permutations less than or equal to the given permutation in right weak order.
Map
cycle-as-one-line notation
Description
Return the permutation obtained by concatenating the cycles of a permutation, each written with minimal element first, sorted by minimal element.
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