Identifier
-
Mp00090:
Permutations
—cycle-as-one-line notation⟶
Permutations
St000040: 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]=>4
[3,2,1,4]=>[1,3,2,4]=>2
[3,2,4,1]=>[1,3,4,2]=>4
[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]=>4
[4,2,1,3]=>[1,4,3,2]=>6
[4,2,3,1]=>[1,4,2,3]=>4
[4,3,1,2]=>[1,4,2,3]=>4
[4,3,2,1]=>[1,4,2,3]=>4
[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]=>4
[1,4,3,2,5]=>[1,2,4,3,5]=>2
[1,4,3,5,2]=>[1,2,4,5,3]=>4
[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]=>4
[1,5,3,2,4]=>[1,2,5,4,3]=>6
[1,5,3,4,2]=>[1,2,5,3,4]=>4
[1,5,4,2,3]=>[1,2,5,3,4]=>4
[1,5,4,3,2]=>[1,2,5,3,4]=>4
[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]=>4
[2,4,3,1,5]=>[1,2,4,3,5]=>2
[2,4,3,5,1]=>[1,2,4,5,3]=>4
[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]=>4
[2,5,3,1,4]=>[1,2,5,4,3]=>6
[2,5,3,4,1]=>[1,2,5,3,4]=>4
[2,5,4,1,3]=>[1,2,5,3,4]=>4
[2,5,4,3,1]=>[1,2,5,3,4]=>4
[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]=>4
[3,1,4,5,2]=>[1,3,4,5,2]=>8
[3,1,5,2,4]=>[1,3,5,4,2]=>12
[3,1,5,4,2]=>[1,3,5,2,4]=>8
[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]=>4
[3,2,4,5,1]=>[1,3,4,5,2]=>8
[3,2,5,1,4]=>[1,3,5,4,2]=>12
[3,2,5,4,1]=>[1,3,5,2,4]=>8
[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]=>8
[3,4,5,2,1]=>[1,3,5,2,4]=>8
[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]=>4
[3,5,4,2,1]=>[1,3,4,2,5]=>4
[4,1,2,3,5]=>[1,4,3,2,5]=>6
[4,1,2,5,3]=>[1,4,5,3,2]=>18
[4,1,3,2,5]=>[1,4,2,3,5]=>4
[4,1,3,5,2]=>[1,4,5,2,3]=>14
[4,1,5,2,3]=>[1,4,2,3,5]=>4
[4,1,5,3,2]=>[1,4,3,5,2]=>12
[4,2,1,3,5]=>[1,4,3,2,5]=>6
[4,2,1,5,3]=>[1,4,5,3,2]=>18
[4,2,3,1,5]=>[1,4,2,3,5]=>4
[4,2,3,5,1]=>[1,4,5,2,3]=>14
[4,2,5,1,3]=>[1,4,2,3,5]=>4
[4,2,5,3,1]=>[1,4,3,5,2]=>12
[4,3,1,2,5]=>[1,4,2,3,5]=>4
[4,3,1,5,2]=>[1,4,5,2,3]=>14
[4,3,2,1,5]=>[1,4,2,3,5]=>4
[4,3,2,5,1]=>[1,4,5,2,3]=>14
[4,3,5,1,2]=>[1,4,2,3,5]=>4
[4,3,5,2,1]=>[1,4,2,3,5]=>4
[4,5,1,2,3]=>[1,4,2,5,3]=>8
[4,5,1,3,2]=>[1,4,3,2,5]=>6
[4,5,2,1,3]=>[1,4,2,5,3]=>8
[4,5,2,3,1]=>[1,4,3,2,5]=>6
[4,5,3,1,2]=>[1,4,2,5,3]=>8
[4,5,3,2,1]=>[1,4,2,5,3]=>8
[5,1,2,3,4]=>[1,5,4,3,2]=>24
[5,1,2,4,3]=>[1,5,3,2,4]=>12
[5,1,3,2,4]=>[1,5,4,2,3]=>18
[5,1,3,4,2]=>[1,5,2,3,4]=>8
[5,1,4,2,3]=>[1,5,3,4,2]=>18
[5,1,4,3,2]=>[1,5,2,3,4]=>8
[5,2,1,3,4]=>[1,5,4,3,2]=>24
[5,2,1,4,3]=>[1,5,3,2,4]=>12
[5,2,3,1,4]=>[1,5,4,2,3]=>18
[5,2,3,4,1]=>[1,5,2,3,4]=>8
[5,2,4,1,3]=>[1,5,3,4,2]=>18
[5,2,4,3,1]=>[1,5,2,3,4]=>8
[5,3,1,2,4]=>[1,5,4,2,3]=>18
[5,3,1,4,2]=>[1,5,2,3,4]=>8
[5,3,2,1,4]=>[1,5,4,2,3]=>18
[5,3,2,4,1]=>[1,5,2,3,4]=>8
[5,3,4,1,2]=>[1,5,2,3,4]=>8
[5,3,4,2,1]=>[1,5,2,3,4]=>8
[5,4,1,2,3]=>[1,5,3,2,4]=>12
[5,4,1,3,2]=>[1,5,2,4,3]=>12
[5,4,2,1,3]=>[1,5,3,2,4]=>12
[5,4,2,3,1]=>[1,5,2,4,3]=>12
[5,4,3,1,2]=>[1,5,2,4,3]=>12
[5,4,3,2,1]=>[1,5,2,4,3]=>12
[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]=>4
[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]=>4
[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]=>4
[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]=>4
[1,2,6,5,3,4]=>[1,2,3,6,4,5]=>4
[1,2,6,5,4,3]=>[1,2,3,6,4,5]=>4
[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]=>4
[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]=>4
[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]=>4
[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]=>4
[1,3,6,5,2,4]=>[1,2,3,6,4,5]=>4
[1,3,6,5,4,2]=>[1,2,3,6,4,5]=>4
[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]=>4
[1,4,2,5,6,3]=>[1,2,4,5,6,3]=>8
[1,4,2,6,3,5]=>[1,2,4,6,5,3]=>12
[1,4,2,6,5,3]=>[1,2,4,6,3,5]=>8
[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]=>4
[1,4,3,5,6,2]=>[1,2,4,5,6,3]=>8
[1,4,3,6,2,5]=>[1,2,4,6,5,3]=>12
[1,4,3,6,5,2]=>[1,2,4,6,3,5]=>8
[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]=>8
[1,4,5,6,3,2]=>[1,2,4,6,3,5]=>8
[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]=>4
[1,4,6,5,3,2]=>[1,2,4,5,3,6]=>4
[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]=>18
[1,5,2,4,3,6]=>[1,2,5,3,4,6]=>4
[1,5,2,4,6,3]=>[1,2,5,6,3,4]=>14
[1,5,2,6,3,4]=>[1,2,5,3,4,6]=>4
[1,5,2,6,4,3]=>[1,2,5,4,6,3]=>12
[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]=>18
[1,5,3,4,2,6]=>[1,2,5,3,4,6]=>4
[1,5,3,4,6,2]=>[1,2,5,6,3,4]=>14
[1,5,3,6,2,4]=>[1,2,5,3,4,6]=>4
[1,5,3,6,4,2]=>[1,2,5,4,6,3]=>12
[1,5,4,2,3,6]=>[1,2,5,3,4,6]=>4
[1,5,4,2,6,3]=>[1,2,5,6,3,4]=>14
[1,5,4,3,2,6]=>[1,2,5,3,4,6]=>4
[1,5,4,3,6,2]=>[1,2,5,6,3,4]=>14
[1,5,4,6,2,3]=>[1,2,5,3,4,6]=>4
[1,5,4,6,3,2]=>[1,2,5,3,4,6]=>4
[1,5,6,2,3,4]=>[1,2,5,3,6,4]=>8
[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]=>8
[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]=>8
[1,5,6,4,3,2]=>[1,2,5,3,6,4]=>8
[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]=>12
[1,6,2,4,3,5]=>[1,2,6,5,3,4]=>18
[1,6,2,4,5,3]=>[1,2,6,3,4,5]=>8
[1,6,2,5,3,4]=>[1,2,6,4,5,3]=>18
[1,6,2,5,4,3]=>[1,2,6,3,4,5]=>8
[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]=>12
[1,6,3,4,2,5]=>[1,2,6,5,3,4]=>18
[1,6,3,4,5,2]=>[1,2,6,3,4,5]=>8
[1,6,3,5,2,4]=>[1,2,6,4,5,3]=>18
[1,6,3,5,4,2]=>[1,2,6,3,4,5]=>8
[1,6,4,2,3,5]=>[1,2,6,5,3,4]=>18
[1,6,4,2,5,3]=>[1,2,6,3,4,5]=>8
[1,6,4,3,2,5]=>[1,2,6,5,3,4]=>18
[1,6,4,3,5,2]=>[1,2,6,3,4,5]=>8
[1,6,4,5,2,3]=>[1,2,6,3,4,5]=>8
[1,6,4,5,3,2]=>[1,2,6,3,4,5]=>8
[1,6,5,2,3,4]=>[1,2,6,4,3,5]=>12
[1,6,5,2,4,3]=>[1,2,6,3,5,4]=>12
[1,6,5,3,2,4]=>[1,2,6,4,3,5]=>12
[1,6,5,3,4,2]=>[1,2,6,3,5,4]=>12
[1,6,5,4,2,3]=>[1,2,6,3,5,4]=>12
[1,6,5,4,3,2]=>[1,2,6,3,5,4]=>12
[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]=>4
[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]=>4
[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]=>4
[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]=>4
[2,1,6,5,3,4]=>[1,2,3,6,4,5]=>4
[2,1,6,5,4,3]=>[1,2,3,6,4,5]=>4
[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]=>4
[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]=>4
[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]=>4
[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]=>4
[2,3,6,5,1,4]=>[1,2,3,6,4,5]=>4
[2,3,6,5,4,1]=>[1,2,3,6,4,5]=>4
[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]=>4
[2,4,1,5,6,3]=>[1,2,4,5,6,3]=>8
[2,4,1,6,3,5]=>[1,2,4,6,5,3]=>12
[2,4,1,6,5,3]=>[1,2,4,6,3,5]=>8
[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]=>4
[2,4,3,5,6,1]=>[1,2,4,5,6,3]=>8
[2,4,3,6,1,5]=>[1,2,4,6,5,3]=>12
[2,4,3,6,5,1]=>[1,2,4,6,3,5]=>8
[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]=>8
[2,4,5,6,3,1]=>[1,2,4,6,3,5]=>8
[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]=>4
[2,4,6,5,3,1]=>[1,2,4,5,3,6]=>4
[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]=>18
[2,5,1,4,3,6]=>[1,2,5,3,4,6]=>4
[2,5,1,4,6,3]=>[1,2,5,6,3,4]=>14
[2,5,1,6,3,4]=>[1,2,5,3,4,6]=>4
[2,5,1,6,4,3]=>[1,2,5,4,6,3]=>12
[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]=>18
[2,5,3,4,1,6]=>[1,2,5,3,4,6]=>4
[2,5,3,4,6,1]=>[1,2,5,6,3,4]=>14
[2,5,3,6,1,4]=>[1,2,5,3,4,6]=>4
[2,5,3,6,4,1]=>[1,2,5,4,6,3]=>12
[2,5,4,1,3,6]=>[1,2,5,3,4,6]=>4
[2,5,4,1,6,3]=>[1,2,5,6,3,4]=>14
[2,5,4,3,1,6]=>[1,2,5,3,4,6]=>4
[2,5,4,3,6,1]=>[1,2,5,6,3,4]=>14
[2,5,4,6,1,3]=>[1,2,5,3,4,6]=>4
[2,5,4,6,3,1]=>[1,2,5,3,4,6]=>4
[2,5,6,1,3,4]=>[1,2,5,3,6,4]=>8
[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]=>8
[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]=>8
[2,5,6,4,3,1]=>[1,2,5,3,6,4]=>8
[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]=>12
[2,6,1,4,3,5]=>[1,2,6,5,3,4]=>18
[2,6,1,4,5,3]=>[1,2,6,3,4,5]=>8
[2,6,1,5,3,4]=>[1,2,6,4,5,3]=>18
[2,6,1,5,4,3]=>[1,2,6,3,4,5]=>8
[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]=>12
[2,6,3,4,1,5]=>[1,2,6,5,3,4]=>18
[2,6,3,4,5,1]=>[1,2,6,3,4,5]=>8
[2,6,3,5,1,4]=>[1,2,6,4,5,3]=>18
[2,6,3,5,4,1]=>[1,2,6,3,4,5]=>8
[2,6,4,1,3,5]=>[1,2,6,5,3,4]=>18
[2,6,4,1,5,3]=>[1,2,6,3,4,5]=>8
[2,6,4,3,1,5]=>[1,2,6,5,3,4]=>18
[2,6,4,3,5,1]=>[1,2,6,3,4,5]=>8
[2,6,4,5,1,3]=>[1,2,6,3,4,5]=>8
[2,6,4,5,3,1]=>[1,2,6,3,4,5]=>8
[2,6,5,1,3,4]=>[1,2,6,4,3,5]=>12
[2,6,5,1,4,3]=>[1,2,6,3,5,4]=>12
[2,6,5,3,1,4]=>[1,2,6,4,3,5]=>12
[2,6,5,3,4,1]=>[1,2,6,3,5,4]=>12
[2,6,5,4,1,3]=>[1,2,6,3,5,4]=>12
[2,6,5,4,3,1]=>[1,2,6,3,5,4]=>12
[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]=>4
[3,1,4,2,6,5]=>[1,3,4,2,5,6]=>4
[3,1,4,5,2,6]=>[1,3,4,5,2,6]=>8
[3,1,4,5,6,2]=>[1,3,4,5,6,2]=>16
[3,1,4,6,2,5]=>[1,3,4,6,5,2]=>24
[3,1,4,6,5,2]=>[1,3,4,6,2,5]=>16
[3,1,5,2,4,6]=>[1,3,5,4,2,6]=>12
[3,1,5,2,6,4]=>[1,3,5,6,4,2]=>36
[3,1,5,4,2,6]=>[1,3,5,2,4,6]=>8
[3,1,5,4,6,2]=>[1,3,5,6,2,4]=>28
[3,1,5,6,2,4]=>[1,3,5,2,4,6]=>8
[3,1,5,6,4,2]=>[1,3,5,4,6,2]=>24
[3,1,6,2,4,5]=>[1,3,6,5,4,2]=>48
[3,1,6,2,5,4]=>[1,3,6,4,2,5]=>24
[3,1,6,4,2,5]=>[1,3,6,5,2,4]=>36
[3,1,6,4,5,2]=>[1,3,6,2,4,5]=>16
[3,1,6,5,2,4]=>[1,3,6,4,5,2]=>36
[3,1,6,5,4,2]=>[1,3,6,2,4,5]=>16
[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]=>4
[3,2,4,1,6,5]=>[1,3,4,2,5,6]=>4
[3,2,4,5,1,6]=>[1,3,4,5,2,6]=>8
[3,2,4,5,6,1]=>[1,3,4,5,6,2]=>16
[3,2,4,6,1,5]=>[1,3,4,6,5,2]=>24
[3,2,4,6,5,1]=>[1,3,4,6,2,5]=>16
[3,2,5,1,4,6]=>[1,3,5,4,2,6]=>12
[3,2,5,1,6,4]=>[1,3,5,6,4,2]=>36
[3,2,5,4,1,6]=>[1,3,5,2,4,6]=>8
[3,2,5,4,6,1]=>[1,3,5,6,2,4]=>28
[3,2,5,6,1,4]=>[1,3,5,2,4,6]=>8
[3,2,5,6,4,1]=>[1,3,5,4,6,2]=>24
[3,2,6,1,4,5]=>[1,3,6,5,4,2]=>48
[3,2,6,1,5,4]=>[1,3,6,4,2,5]=>24
[3,2,6,4,1,5]=>[1,3,6,5,2,4]=>36
[3,2,6,4,5,1]=>[1,3,6,2,4,5]=>16
[3,2,6,5,1,4]=>[1,3,6,4,5,2]=>36
[3,2,6,5,4,1]=>[1,3,6,2,4,5]=>16
[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]=>8
[3,4,5,1,6,2]=>[1,3,5,6,2,4]=>28
[3,4,5,2,1,6]=>[1,3,5,2,4,6]=>8
[3,4,5,2,6,1]=>[1,3,5,6,2,4]=>28
[3,4,5,6,1,2]=>[1,3,5,2,4,6]=>8
[3,4,5,6,2,1]=>[1,3,5,2,4,6]=>8
[3,4,6,1,2,5]=>[1,3,6,5,2,4]=>36
[3,4,6,1,5,2]=>[1,3,6,2,4,5]=>16
[3,4,6,2,1,5]=>[1,3,6,5,2,4]=>36
[3,4,6,2,5,1]=>[1,3,6,2,4,5]=>16
[3,4,6,5,1,2]=>[1,3,6,2,4,5]=>16
[3,4,6,5,2,1]=>[1,3,6,2,4,5]=>16
[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]=>8
[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]=>8
[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]=>8
[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]=>8
[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]=>4
[3,5,4,1,6,2]=>[1,3,4,2,5,6]=>4
[3,5,4,2,1,6]=>[1,3,4,2,5,6]=>4
[3,5,4,2,6,1]=>[1,3,4,2,5,6]=>4
[3,5,4,6,1,2]=>[1,3,4,6,2,5]=>16
[3,5,4,6,2,1]=>[1,3,4,6,2,5]=>16
[3,5,6,1,2,4]=>[1,3,6,4,2,5]=>24
[3,5,6,1,4,2]=>[1,3,6,2,5,4]=>24
[3,5,6,2,1,4]=>[1,3,6,4,2,5]=>24
[3,5,6,2,4,1]=>[1,3,6,2,5,4]=>24
[3,5,6,4,1,2]=>[1,3,6,2,5,4]=>24
[3,5,6,4,2,1]=>[1,3,6,2,5,4]=>24
[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]=>8
[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]=>8
[3,6,1,5,2,4]=>[1,3,2,6,4,5]=>8
[3,6,1,5,4,2]=>[1,3,2,6,4,5]=>8
[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]=>8
[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]=>8
[3,6,2,5,1,4]=>[1,3,2,6,4,5]=>8
[3,6,2,5,4,1]=>[1,3,2,6,4,5]=>8
[3,6,4,1,2,5]=>[1,3,4,2,6,5]=>8
[3,6,4,1,5,2]=>[1,3,4,2,6,5]=>8
[3,6,4,2,1,5]=>[1,3,4,2,6,5]=>8
[3,6,4,2,5,1]=>[1,3,4,2,6,5]=>8
[3,6,4,5,1,2]=>[1,3,4,5,2,6]=>8
[3,6,4,5,2,1]=>[1,3,4,5,2,6]=>8
[3,6,5,1,2,4]=>[1,3,5,2,6,4]=>16
[3,6,5,1,4,2]=>[1,3,5,4,2,6]=>12
[3,6,5,2,1,4]=>[1,3,5,2,6,4]=>16
[3,6,5,2,4,1]=>[1,3,5,4,2,6]=>12
[3,6,5,4,1,2]=>[1,3,5,2,6,4]=>16
[3,6,5,4,2,1]=>[1,3,5,2,6,4]=>16
[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]=>18
[4,1,2,5,6,3]=>[1,4,5,6,3,2]=>54
[4,1,2,6,3,5]=>[1,4,6,5,3,2]=>72
[4,1,2,6,5,3]=>[1,4,6,3,2,5]=>36
[4,1,3,2,5,6]=>[1,4,2,3,5,6]=>4
[4,1,3,2,6,5]=>[1,4,2,3,5,6]=>4
[4,1,3,5,2,6]=>[1,4,5,2,3,6]=>14
[4,1,3,5,6,2]=>[1,4,5,6,2,3]=>46
[4,1,3,6,2,5]=>[1,4,6,5,2,3]=>60
[4,1,3,6,5,2]=>[1,4,6,2,3,5]=>28
[4,1,5,2,3,6]=>[1,4,2,3,5,6]=>4
[4,1,5,2,6,3]=>[1,4,2,3,5,6]=>4
[4,1,5,3,2,6]=>[1,4,3,5,2,6]=>12
[4,1,5,3,6,2]=>[1,4,3,5,6,2]=>24
[4,1,5,6,2,3]=>[1,4,6,3,5,2]=>54
[4,1,5,6,3,2]=>[1,4,6,2,3,5]=>28
[4,1,6,2,3,5]=>[1,4,2,3,6,5]=>8
[4,1,6,2,5,3]=>[1,4,2,3,6,5]=>8
[4,1,6,3,2,5]=>[1,4,3,6,5,2]=>36
[4,1,6,3,5,2]=>[1,4,3,6,2,5]=>24
[4,1,6,5,2,3]=>[1,4,5,2,3,6]=>14
[4,1,6,5,3,2]=>[1,4,5,3,6,2]=>36
[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]=>18
[4,2,1,5,6,3]=>[1,4,5,6,3,2]=>54
[4,2,1,6,3,5]=>[1,4,6,5,3,2]=>72
[4,2,1,6,5,3]=>[1,4,6,3,2,5]=>36
[4,2,3,1,5,6]=>[1,4,2,3,5,6]=>4
[4,2,3,1,6,5]=>[1,4,2,3,5,6]=>4
[4,2,3,5,1,6]=>[1,4,5,2,3,6]=>14
[4,2,3,5,6,1]=>[1,4,5,6,2,3]=>46
[4,2,3,6,1,5]=>[1,4,6,5,2,3]=>60
[4,2,3,6,5,1]=>[1,4,6,2,3,5]=>28
[4,2,5,1,3,6]=>[1,4,2,3,5,6]=>4
[4,2,5,1,6,3]=>[1,4,2,3,5,6]=>4
[4,2,5,3,1,6]=>[1,4,3,5,2,6]=>12
[4,2,5,3,6,1]=>[1,4,3,5,6,2]=>24
[4,2,5,6,1,3]=>[1,4,6,3,5,2]=>54
[4,2,5,6,3,1]=>[1,4,6,2,3,5]=>28
[4,2,6,1,3,5]=>[1,4,2,3,6,5]=>8
[4,2,6,1,5,3]=>[1,4,2,3,6,5]=>8
[4,2,6,3,1,5]=>[1,4,3,6,5,2]=>36
[4,2,6,3,5,1]=>[1,4,3,6,2,5]=>24
[4,2,6,5,1,3]=>[1,4,5,2,3,6]=>14
[4,2,6,5,3,1]=>[1,4,5,3,6,2]=>36
[4,3,1,2,5,6]=>[1,4,2,3,5,6]=>4
[4,3,1,2,6,5]=>[1,4,2,3,5,6]=>4
[4,3,1,5,2,6]=>[1,4,5,2,3,6]=>14
[4,3,1,5,6,2]=>[1,4,5,6,2,3]=>46
[4,3,1,6,2,5]=>[1,4,6,5,2,3]=>60
[4,3,1,6,5,2]=>[1,4,6,2,3,5]=>28
[4,3,2,1,5,6]=>[1,4,2,3,5,6]=>4
[4,3,2,1,6,5]=>[1,4,2,3,5,6]=>4
[4,3,2,5,1,6]=>[1,4,5,2,3,6]=>14
[4,3,2,5,6,1]=>[1,4,5,6,2,3]=>46
[4,3,2,6,1,5]=>[1,4,6,5,2,3]=>60
[4,3,2,6,5,1]=>[1,4,6,2,3,5]=>28
[4,3,5,1,2,6]=>[1,4,2,3,5,6]=>4
[4,3,5,1,6,2]=>[1,4,2,3,5,6]=>4
[4,3,5,2,1,6]=>[1,4,2,3,5,6]=>4
[4,3,5,2,6,1]=>[1,4,2,3,5,6]=>4
[4,3,5,6,1,2]=>[1,4,6,2,3,5]=>28
[4,3,5,6,2,1]=>[1,4,6,2,3,5]=>28
[4,3,6,1,2,5]=>[1,4,2,3,6,5]=>8
[4,3,6,1,5,2]=>[1,4,2,3,6,5]=>8
[4,3,6,2,1,5]=>[1,4,2,3,6,5]=>8
[4,3,6,2,5,1]=>[1,4,2,3,6,5]=>8
[4,3,6,5,1,2]=>[1,4,5,2,3,6]=>14
[4,3,6,5,2,1]=>[1,4,5,2,3,6]=>14
[4,5,1,2,3,6]=>[1,4,2,5,3,6]=>8
[4,5,1,2,6,3]=>[1,4,2,5,6,3]=>16
[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]=>36
[4,5,1,6,3,2]=>[1,4,6,2,5,3]=>42
[4,5,2,1,3,6]=>[1,4,2,5,3,6]=>8
[4,5,2,1,6,3]=>[1,4,2,5,6,3]=>16
[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]=>36
[4,5,2,6,3,1]=>[1,4,6,2,5,3]=>42
[4,5,3,1,2,6]=>[1,4,2,5,3,6]=>8
[4,5,3,1,6,2]=>[1,4,2,5,6,3]=>16
[4,5,3,2,1,6]=>[1,4,2,5,3,6]=>8
[4,5,3,2,6,1]=>[1,4,2,5,6,3]=>16
[4,5,3,6,1,2]=>[1,4,6,2,5,3]=>42
[4,5,3,6,2,1]=>[1,4,6,2,5,3]=>42
[4,5,6,1,2,3]=>[1,4,2,5,3,6]=>8
[4,5,6,1,3,2]=>[1,4,2,5,3,6]=>8
[4,5,6,2,1,3]=>[1,4,2,5,3,6]=>8
[4,5,6,2,3,1]=>[1,4,2,5,3,6]=>8
[4,5,6,3,1,2]=>[1,4,3,6,2,5]=>24
[4,5,6,3,2,1]=>[1,4,3,6,2,5]=>24
[4,6,1,2,3,5]=>[1,4,2,6,5,3]=>24
[4,6,1,2,5,3]=>[1,4,2,6,3,5]=>16
[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]=>28
[4,6,1,5,3,2]=>[1,4,5,3,2,6]=>18
[4,6,2,1,3,5]=>[1,4,2,6,5,3]=>24
[4,6,2,1,5,3]=>[1,4,2,6,3,5]=>16
[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]=>28
[4,6,2,5,3,1]=>[1,4,5,3,2,6]=>18
[4,6,3,1,2,5]=>[1,4,2,6,5,3]=>24
[4,6,3,1,5,2]=>[1,4,2,6,3,5]=>16
[4,6,3,2,1,5]=>[1,4,2,6,5,3]=>24
[4,6,3,2,5,1]=>[1,4,2,6,3,5]=>16
[4,6,3,5,1,2]=>[1,4,5,2,6,3]=>28
[4,6,3,5,2,1]=>[1,4,5,2,6,3]=>28
[4,6,5,1,2,3]=>[1,4,2,6,3,5]=>16
[4,6,5,1,3,2]=>[1,4,2,6,3,5]=>16
[4,6,5,2,1,3]=>[1,4,2,6,3,5]=>16
[4,6,5,2,3,1]=>[1,4,2,6,3,5]=>16
[4,6,5,3,1,2]=>[1,4,3,5,2,6]=>12
[4,6,5,3,2,1]=>[1,4,3,5,2,6]=>12
[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]=>96
[5,1,2,4,3,6]=>[1,5,3,2,4,6]=>12
[5,1,2,4,6,3]=>[1,5,6,3,2,4]=>60
[5,1,2,6,3,4]=>[1,5,3,2,4,6]=>12
[5,1,2,6,4,3]=>[1,5,4,6,3,2]=>72
[5,1,3,2,4,6]=>[1,5,4,2,3,6]=>18
[5,1,3,2,6,4]=>[1,5,6,4,2,3]=>78
[5,1,3,4,2,6]=>[1,5,2,3,4,6]=>8
[5,1,3,4,6,2]=>[1,5,6,2,3,4]=>46
[5,1,3,6,2,4]=>[1,5,2,3,4,6]=>8
[5,1,3,6,4,2]=>[1,5,4,6,2,3]=>60
[5,1,4,2,3,6]=>[1,5,3,4,2,6]=>18
[5,1,4,2,6,3]=>[1,5,6,3,4,2]=>78
[5,1,4,3,2,6]=>[1,5,2,3,4,6]=>8
[5,1,4,3,6,2]=>[1,5,6,2,3,4]=>46
[5,1,4,6,2,3]=>[1,5,2,3,4,6]=>8
[5,1,4,6,3,2]=>[1,5,3,4,6,2]=>36
[5,1,6,2,3,4]=>[1,5,3,6,4,2]=>54
[5,1,6,2,4,3]=>[1,5,4,2,3,6]=>18
[5,1,6,3,2,4]=>[1,5,2,3,6,4]=>16
[5,1,6,3,4,2]=>[1,5,4,3,6,2]=>48
[5,1,6,4,2,3]=>[1,5,2,3,6,4]=>16
[5,1,6,4,3,2]=>[1,5,3,6,2,4]=>42
[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]=>96
[5,2,1,4,3,6]=>[1,5,3,2,4,6]=>12
[5,2,1,4,6,3]=>[1,5,6,3,2,4]=>60
[5,2,1,6,3,4]=>[1,5,3,2,4,6]=>12
[5,2,1,6,4,3]=>[1,5,4,6,3,2]=>72
[5,2,3,1,4,6]=>[1,5,4,2,3,6]=>18
[5,2,3,1,6,4]=>[1,5,6,4,2,3]=>78
[5,2,3,4,1,6]=>[1,5,2,3,4,6]=>8
[5,2,3,4,6,1]=>[1,5,6,2,3,4]=>46
[5,2,3,6,1,4]=>[1,5,2,3,4,6]=>8
[5,2,3,6,4,1]=>[1,5,4,6,2,3]=>60
[5,2,4,1,3,6]=>[1,5,3,4,2,6]=>18
[5,2,4,1,6,3]=>[1,5,6,3,4,2]=>78
[5,2,4,3,1,6]=>[1,5,2,3,4,6]=>8
[5,2,4,3,6,1]=>[1,5,6,2,3,4]=>46
[5,2,4,6,1,3]=>[1,5,2,3,4,6]=>8
[5,2,4,6,3,1]=>[1,5,3,4,6,2]=>36
[5,2,6,1,3,4]=>[1,5,3,6,4,2]=>54
[5,2,6,1,4,3]=>[1,5,4,2,3,6]=>18
[5,2,6,3,1,4]=>[1,5,2,3,6,4]=>16
[5,2,6,3,4,1]=>[1,5,4,3,6,2]=>48
[5,2,6,4,1,3]=>[1,5,2,3,6,4]=>16
[5,2,6,4,3,1]=>[1,5,3,6,2,4]=>42
[5,3,1,2,4,6]=>[1,5,4,2,3,6]=>18
[5,3,1,2,6,4]=>[1,5,6,4,2,3]=>78
[5,3,1,4,2,6]=>[1,5,2,3,4,6]=>8
[5,3,1,4,6,2]=>[1,5,6,2,3,4]=>46
[5,3,1,6,2,4]=>[1,5,2,3,4,6]=>8
[5,3,1,6,4,2]=>[1,5,4,6,2,3]=>60
[5,3,2,1,4,6]=>[1,5,4,2,3,6]=>18
[5,3,2,1,6,4]=>[1,5,6,4,2,3]=>78
[5,3,2,4,1,6]=>[1,5,2,3,4,6]=>8
[5,3,2,4,6,1]=>[1,5,6,2,3,4]=>46
[5,3,2,6,1,4]=>[1,5,2,3,4,6]=>8
[5,3,2,6,4,1]=>[1,5,4,6,2,3]=>60
[5,3,4,1,2,6]=>[1,5,2,3,4,6]=>8
[5,3,4,1,6,2]=>[1,5,6,2,3,4]=>46
[5,3,4,2,1,6]=>[1,5,2,3,4,6]=>8
[5,3,4,2,6,1]=>[1,5,6,2,3,4]=>46
[5,3,4,6,1,2]=>[1,5,2,3,4,6]=>8
[5,3,4,6,2,1]=>[1,5,2,3,4,6]=>8
[5,3,6,1,2,4]=>[1,5,2,3,6,4]=>16
[5,3,6,1,4,2]=>[1,5,4,2,3,6]=>18
[5,3,6,2,1,4]=>[1,5,2,3,6,4]=>16
[5,3,6,2,4,1]=>[1,5,4,2,3,6]=>18
[5,3,6,4,1,2]=>[1,5,2,3,6,4]=>16
[5,3,6,4,2,1]=>[1,5,2,3,6,4]=>16
[5,4,1,2,3,6]=>[1,5,3,2,4,6]=>12
[5,4,1,2,6,3]=>[1,5,6,3,2,4]=>60
[5,4,1,3,2,6]=>[1,5,2,4,3,6]=>12
[5,4,1,3,6,2]=>[1,5,6,2,4,3]=>60
[5,4,1,6,2,3]=>[1,5,2,4,6,3]=>24
[5,4,1,6,3,2]=>[1,5,3,2,4,6]=>12
[5,4,2,1,3,6]=>[1,5,3,2,4,6]=>12
[5,4,2,1,6,3]=>[1,5,6,3,2,4]=>60
[5,4,2,3,1,6]=>[1,5,2,4,3,6]=>12
[5,4,2,3,6,1]=>[1,5,6,2,4,3]=>60
[5,4,2,6,1,3]=>[1,5,2,4,6,3]=>24
[5,4,2,6,3,1]=>[1,5,3,2,4,6]=>12
[5,4,3,1,2,6]=>[1,5,2,4,3,6]=>12
[5,4,3,1,6,2]=>[1,5,6,2,4,3]=>60
[5,4,3,2,1,6]=>[1,5,2,4,3,6]=>12
[5,4,3,2,6,1]=>[1,5,6,2,4,3]=>60
[5,4,3,6,1,2]=>[1,5,2,4,6,3]=>24
[5,4,3,6,2,1]=>[1,5,2,4,6,3]=>24
[5,4,6,1,2,3]=>[1,5,2,4,3,6]=>12
[5,4,6,1,3,2]=>[1,5,3,6,2,4]=>42
[5,4,6,2,1,3]=>[1,5,2,4,3,6]=>12
[5,4,6,2,3,1]=>[1,5,3,6,2,4]=>42
[5,4,6,3,1,2]=>[1,5,2,4,3,6]=>12
[5,4,6,3,2,1]=>[1,5,2,4,3,6]=>12
[5,6,1,2,3,4]=>[1,5,3,2,6,4]=>24
[5,6,1,2,4,3]=>[1,5,4,2,6,3]=>36
[5,6,1,3,2,4]=>[1,5,2,6,4,3]=>36
[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]=>28
[5,6,1,4,3,2]=>[1,5,3,2,6,4]=>24
[5,6,2,1,3,4]=>[1,5,3,2,6,4]=>24
[5,6,2,1,4,3]=>[1,5,4,2,6,3]=>36
[5,6,2,3,1,4]=>[1,5,2,6,4,3]=>36
[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]=>28
[5,6,2,4,3,1]=>[1,5,3,2,6,4]=>24
[5,6,3,1,2,4]=>[1,5,2,6,4,3]=>36
[5,6,3,1,4,2]=>[1,5,4,2,6,3]=>36
[5,6,3,2,1,4]=>[1,5,2,6,4,3]=>36
[5,6,3,2,4,1]=>[1,5,4,2,6,3]=>36
[5,6,3,4,1,2]=>[1,5,2,6,3,4]=>28
[5,6,3,4,2,1]=>[1,5,2,6,3,4]=>28
[5,6,4,1,2,3]=>[1,5,2,6,3,4]=>28
[5,6,4,1,3,2]=>[1,5,3,4,2,6]=>18
[5,6,4,2,1,3]=>[1,5,2,6,3,4]=>28
[5,6,4,2,3,1]=>[1,5,3,4,2,6]=>18
[5,6,4,3,1,2]=>[1,5,2,6,3,4]=>28
[5,6,4,3,2,1]=>[1,5,2,6,3,4]=>28
[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]=>48
[6,1,2,4,3,5]=>[1,6,5,3,2,4]=>72
[6,1,2,4,5,3]=>[1,6,3,2,4,5]=>24
[6,1,2,5,3,4]=>[1,6,4,5,3,2]=>96
[6,1,2,5,4,3]=>[1,6,3,2,4,5]=>24
[6,1,3,2,4,5]=>[1,6,5,4,2,3]=>96
[6,1,3,2,5,4]=>[1,6,4,2,3,5]=>36
[6,1,3,4,2,5]=>[1,6,5,2,3,4]=>54
[6,1,3,4,5,2]=>[1,6,2,3,4,5]=>16
[6,1,3,5,2,4]=>[1,6,4,5,2,3]=>78
[6,1,3,5,4,2]=>[1,6,2,3,4,5]=>16
[6,1,4,2,3,5]=>[1,6,5,3,4,2]=>96
[6,1,4,2,5,3]=>[1,6,3,4,2,5]=>36
[6,1,4,3,2,5]=>[1,6,5,2,3,4]=>54
[6,1,4,3,5,2]=>[1,6,2,3,4,5]=>16
[6,1,4,5,2,3]=>[1,6,3,4,5,2]=>54
[6,1,4,5,3,2]=>[1,6,2,3,4,5]=>16
[6,1,5,2,3,4]=>[1,6,4,2,3,5]=>36
[6,1,5,2,4,3]=>[1,6,3,5,4,2]=>72
[6,1,5,3,2,4]=>[1,6,4,3,5,2]=>72
[6,1,5,3,4,2]=>[1,6,2,3,5,4]=>24
[6,1,5,4,2,3]=>[1,6,3,5,2,4]=>54
[6,1,5,4,3,2]=>[1,6,2,3,5,4]=>24
[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]=>48
[6,2,1,4,3,5]=>[1,6,5,3,2,4]=>72
[6,2,1,4,5,3]=>[1,6,3,2,4,5]=>24
[6,2,1,5,3,4]=>[1,6,4,5,3,2]=>96
[6,2,1,5,4,3]=>[1,6,3,2,4,5]=>24
[6,2,3,1,4,5]=>[1,6,5,4,2,3]=>96
[6,2,3,1,5,4]=>[1,6,4,2,3,5]=>36
[6,2,3,4,1,5]=>[1,6,5,2,3,4]=>54
[6,2,3,4,5,1]=>[1,6,2,3,4,5]=>16
[6,2,3,5,1,4]=>[1,6,4,5,2,3]=>78
[6,2,3,5,4,1]=>[1,6,2,3,4,5]=>16
[6,2,4,1,3,5]=>[1,6,5,3,4,2]=>96
[6,2,4,1,5,3]=>[1,6,3,4,2,5]=>36
[6,2,4,3,1,5]=>[1,6,5,2,3,4]=>54
[6,2,4,3,5,1]=>[1,6,2,3,4,5]=>16
[6,2,4,5,1,3]=>[1,6,3,4,5,2]=>54
[6,2,4,5,3,1]=>[1,6,2,3,4,5]=>16
[6,2,5,1,3,4]=>[1,6,4,2,3,5]=>36
[6,2,5,1,4,3]=>[1,6,3,5,4,2]=>72
[6,2,5,3,1,4]=>[1,6,4,3,5,2]=>72
[6,2,5,3,4,1]=>[1,6,2,3,5,4]=>24
[6,2,5,4,1,3]=>[1,6,3,5,2,4]=>54
[6,2,5,4,3,1]=>[1,6,2,3,5,4]=>24
[6,3,1,2,4,5]=>[1,6,5,4,2,3]=>96
[6,3,1,2,5,4]=>[1,6,4,2,3,5]=>36
[6,3,1,4,2,5]=>[1,6,5,2,3,4]=>54
[6,3,1,4,5,2]=>[1,6,2,3,4,5]=>16
[6,3,1,5,2,4]=>[1,6,4,5,2,3]=>78
[6,3,1,5,4,2]=>[1,6,2,3,4,5]=>16
[6,3,2,1,4,5]=>[1,6,5,4,2,3]=>96
[6,3,2,1,5,4]=>[1,6,4,2,3,5]=>36
[6,3,2,4,1,5]=>[1,6,5,2,3,4]=>54
[6,3,2,4,5,1]=>[1,6,2,3,4,5]=>16
[6,3,2,5,1,4]=>[1,6,4,5,2,3]=>78
[6,3,2,5,4,1]=>[1,6,2,3,4,5]=>16
[6,3,4,1,2,5]=>[1,6,5,2,3,4]=>54
[6,3,4,1,5,2]=>[1,6,2,3,4,5]=>16
[6,3,4,2,1,5]=>[1,6,5,2,3,4]=>54
[6,3,4,2,5,1]=>[1,6,2,3,4,5]=>16
[6,3,4,5,1,2]=>[1,6,2,3,4,5]=>16
[6,3,4,5,2,1]=>[1,6,2,3,4,5]=>16
[6,3,5,1,2,4]=>[1,6,4,2,3,5]=>36
[6,3,5,1,4,2]=>[1,6,2,3,5,4]=>24
[6,3,5,2,1,4]=>[1,6,4,2,3,5]=>36
[6,3,5,2,4,1]=>[1,6,2,3,5,4]=>24
[6,3,5,4,1,2]=>[1,6,2,3,5,4]=>24
[6,3,5,4,2,1]=>[1,6,2,3,5,4]=>24
[6,4,1,2,3,5]=>[1,6,5,3,2,4]=>72
[6,4,1,2,5,3]=>[1,6,3,2,4,5]=>24
[6,4,1,3,2,5]=>[1,6,5,2,4,3]=>72
[6,4,1,3,5,2]=>[1,6,2,4,3,5]=>24
[6,4,1,5,2,3]=>[1,6,3,2,4,5]=>24
[6,4,1,5,3,2]=>[1,6,2,4,5,3]=>36
[6,4,2,1,3,5]=>[1,6,5,3,2,4]=>72
[6,4,2,1,5,3]=>[1,6,3,2,4,5]=>24
[6,4,2,3,1,5]=>[1,6,5,2,4,3]=>72
[6,4,2,3,5,1]=>[1,6,2,4,3,5]=>24
[6,4,2,5,1,3]=>[1,6,3,2,4,5]=>24
[6,4,2,5,3,1]=>[1,6,2,4,5,3]=>36
[6,4,3,1,2,5]=>[1,6,5,2,4,3]=>72
[6,4,3,1,5,2]=>[1,6,2,4,3,5]=>24
[6,4,3,2,1,5]=>[1,6,5,2,4,3]=>72
[6,4,3,2,5,1]=>[1,6,2,4,3,5]=>24
[6,4,3,5,1,2]=>[1,6,2,4,5,3]=>36
[6,4,3,5,2,1]=>[1,6,2,4,5,3]=>36
[6,4,5,1,2,3]=>[1,6,3,5,2,4]=>54
[6,4,5,1,3,2]=>[1,6,2,4,3,5]=>24
[6,4,5,2,1,3]=>[1,6,3,5,2,4]=>54
[6,4,5,2,3,1]=>[1,6,2,4,3,5]=>24
[6,4,5,3,1,2]=>[1,6,2,4,3,5]=>24
[6,4,5,3,2,1]=>[1,6,2,4,3,5]=>24
[6,5,1,2,3,4]=>[1,6,4,2,5,3]=>54
[6,5,1,2,4,3]=>[1,6,3,2,5,4]=>36
[6,5,1,3,2,4]=>[1,6,4,3,2,5]=>48
[6,5,1,3,4,2]=>[1,6,2,5,4,3]=>48
[6,5,1,4,2,3]=>[1,6,3,2,5,4]=>36
[6,5,1,4,3,2]=>[1,6,2,5,3,4]=>36
[6,5,2,1,3,4]=>[1,6,4,2,5,3]=>54
[6,5,2,1,4,3]=>[1,6,3,2,5,4]=>36
[6,5,2,3,1,4]=>[1,6,4,3,2,5]=>48
[6,5,2,3,4,1]=>[1,6,2,5,4,3]=>48
[6,5,2,4,1,3]=>[1,6,3,2,5,4]=>36
[6,5,2,4,3,1]=>[1,6,2,5,3,4]=>36
[6,5,3,1,2,4]=>[1,6,4,2,5,3]=>54
[6,5,3,1,4,2]=>[1,6,2,5,4,3]=>48
[6,5,3,2,1,4]=>[1,6,4,2,5,3]=>54
[6,5,3,2,4,1]=>[1,6,2,5,4,3]=>48
[6,5,3,4,1,2]=>[1,6,2,5,3,4]=>36
[6,5,3,4,2,1]=>[1,6,2,5,3,4]=>36
[6,5,4,1,2,3]=>[1,6,3,4,2,5]=>36
[6,5,4,1,3,2]=>[1,6,2,5,3,4]=>36
[6,5,4,2,1,3]=>[1,6,3,4,2,5]=>36
[6,5,4,2,3,1]=>[1,6,2,5,3,4]=>36
[6,5,4,3,1,2]=>[1,6,2,5,3,4]=>36
[6,5,4,3,2,1]=>[1,6,2,5,3,4]=>36
[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
[1,2,3,6,4,7,5]=>[1,2,3,4,6,7,5]=>4
[1,2,3,6,5,4,7]=>[1,2,3,4,6,5,7]=>2
[1,2,3,6,5,7,4]=>[1,2,3,4,6,7,5]=>4
[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
[1,2,3,7,4,5,6]=>[1,2,3,4,7,6,5]=>6
[1,2,3,7,4,6,5]=>[1,2,3,4,7,5,6]=>4
[1,2,3,7,5,4,6]=>[1,2,3,4,7,6,5]=>6
[1,2,3,7,5,6,4]=>[1,2,3,4,7,5,6]=>4
[1,2,3,7,6,4,5]=>[1,2,3,4,7,5,6]=>4
[1,2,3,7,6,5,4]=>[1,2,3,4,7,5,6]=>4
[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
[1,2,4,6,3,7,5]=>[1,2,3,4,6,7,5]=>4
[1,2,4,6,5,3,7]=>[1,2,3,4,6,5,7]=>2
[1,2,4,6,5,7,3]=>[1,2,3,4,6,7,5]=>4
[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
[1,2,4,7,3,5,6]=>[1,2,3,4,7,6,5]=>6
[1,2,4,7,3,6,5]=>[1,2,3,4,7,5,6]=>4
[1,2,4,7,5,3,6]=>[1,2,3,4,7,6,5]=>6
[1,2,4,7,5,6,3]=>[1,2,3,4,7,5,6]=>4
[1,2,4,7,6,3,5]=>[1,2,3,4,7,5,6]=>4
[1,2,4,7,6,5,3]=>[1,2,3,4,7,5,6]=>4
[1,2,5,3,4,6,7]=>[1,2,3,5,4,6,7]=>2
[1,2,5,3,4,7,6]=>[1,2,3,5,4,6,7]=>2
[1,2,5,3,6,4,7]=>[1,2,3,5,6,4,7]=>4
[1,2,5,3,6,7,4]=>[1,2,3,5,6,7,4]=>8
[1,2,5,3,7,4,6]=>[1,2,3,5,7,6,4]=>12
[1,2,5,3,7,6,4]=>[1,2,3,5,7,4,6]=>8
[1,2,5,4,3,6,7]=>[1,2,3,5,4,6,7]=>2
[1,2,5,4,3,7,6]=>[1,2,3,5,4,6,7]=>2
[1,2,5,4,6,3,7]=>[1,2,3,5,6,4,7]=>4
[1,2,5,4,6,7,3]=>[1,2,3,5,6,7,4]=>8
[1,2,5,4,7,3,6]=>[1,2,3,5,7,6,4]=>12
[1,2,5,4,7,6,3]=>[1,2,3,5,7,4,6]=>8
[1,2,5,6,3,4,7]=>[1,2,3,5,4,6,7]=>2
[1,2,5,6,3,7,4]=>[1,2,3,5,4,6,7]=>2
[1,2,5,6,4,3,7]=>[1,2,3,5,4,6,7]=>2
[1,2,5,6,4,7,3]=>[1,2,3,5,4,6,7]=>2
[1,2,5,6,7,3,4]=>[1,2,3,5,7,4,6]=>8
[1,2,5,6,7,4,3]=>[1,2,3,5,7,4,6]=>8
[1,2,5,7,3,4,6]=>[1,2,3,5,4,7,6]=>4
[1,2,5,7,3,6,4]=>[1,2,3,5,4,7,6]=>4
[1,2,5,7,4,3,6]=>[1,2,3,5,4,7,6]=>4
[1,2,5,7,4,6,3]=>[1,2,3,5,4,7,6]=>4
[1,2,5,7,6,3,4]=>[1,2,3,5,6,4,7]=>4
[1,2,5,7,6,4,3]=>[1,2,3,5,6,4,7]=>4
[1,2,6,3,4,7,5]=>[1,2,3,6,7,5,4]=>18
[1,2,6,3,5,4,7]=>[1,2,3,6,4,5,7]=>4
[1,2,6,3,5,7,4]=>[1,2,3,6,7,4,5]=>14
[1,2,6,3,7,4,5]=>[1,2,3,6,4,5,7]=>4
[1,2,6,4,3,7,5]=>[1,2,3,6,7,5,4]=>18
[1,2,6,4,5,3,7]=>[1,2,3,6,4,5,7]=>4
[1,2,6,4,5,7,3]=>[1,2,3,6,7,4,5]=>14
[1,2,6,4,7,3,5]=>[1,2,3,6,4,5,7]=>4
[1,2,6,5,3,4,7]=>[1,2,3,6,4,5,7]=>4
[1,2,6,5,3,7,4]=>[1,2,3,6,7,4,5]=>14
[1,2,6,5,4,3,7]=>[1,2,3,6,4,5,7]=>4
[1,2,6,5,4,7,3]=>[1,2,3,6,7,4,5]=>14
[1,2,6,5,7,3,4]=>[1,2,3,6,4,5,7]=>4
[1,2,6,5,7,4,3]=>[1,2,3,6,4,5,7]=>4
[1,2,6,7,3,4,5]=>[1,2,3,6,4,7,5]=>8
[1,2,6,7,4,3,5]=>[1,2,3,6,4,7,5]=>8
[1,2,6,7,5,3,4]=>[1,2,3,6,4,7,5]=>8
[1,2,6,7,5,4,3]=>[1,2,3,6,4,7,5]=>8
[1,2,7,3,4,5,6]=>[1,2,3,7,6,5,4]=>24
[1,2,7,3,4,6,5]=>[1,2,3,7,5,4,6]=>12
[1,2,7,3,5,4,6]=>[1,2,3,7,6,4,5]=>18
[1,2,7,3,5,6,4]=>[1,2,3,7,4,5,6]=>8
[1,2,7,3,6,4,5]=>[1,2,3,7,5,6,4]=>18
[1,2,7,3,6,5,4]=>[1,2,3,7,4,5,6]=>8
[1,2,7,4,3,5,6]=>[1,2,3,7,6,5,4]=>24
[1,2,7,4,3,6,5]=>[1,2,3,7,5,4,6]=>12
[1,2,7,4,5,3,6]=>[1,2,3,7,6,4,5]=>18
[1,2,7,4,5,6,3]=>[1,2,3,7,4,5,6]=>8
[1,2,7,4,6,3,5]=>[1,2,3,7,5,6,4]=>18
[1,2,7,4,6,5,3]=>[1,2,3,7,4,5,6]=>8
[1,2,7,5,3,4,6]=>[1,2,3,7,6,4,5]=>18
[1,2,7,5,3,6,4]=>[1,2,3,7,4,5,6]=>8
[1,2,7,5,4,3,6]=>[1,2,3,7,6,4,5]=>18
[1,2,7,5,4,6,3]=>[1,2,3,7,4,5,6]=>8
[1,2,7,5,6,3,4]=>[1,2,3,7,4,5,6]=>8
[1,2,7,5,6,4,3]=>[1,2,3,7,4,5,6]=>8
[1,2,7,6,3,4,5]=>[1,2,3,7,5,4,6]=>12
[1,2,7,6,3,5,4]=>[1,2,3,7,4,6,5]=>12
[1,2,7,6,4,3,5]=>[1,2,3,7,5,4,6]=>12
[1,2,7,6,4,5,3]=>[1,2,3,7,4,6,5]=>12
[1,2,7,6,5,3,4]=>[1,2,3,7,4,6,5]=>12
[1,2,7,6,5,4,3]=>[1,2,3,7,4,6,5]=>12
[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
[1,3,2,6,4,7,5]=>[1,2,3,4,6,7,5]=>4
[1,3,2,6,5,4,7]=>[1,2,3,4,6,5,7]=>2
[1,3,2,6,5,7,4]=>[1,2,3,4,6,7,5]=>4
[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
[1,3,2,7,4,5,6]=>[1,2,3,4,7,6,5]=>6
[1,3,2,7,4,6,5]=>[1,2,3,4,7,5,6]=>4
[1,3,2,7,5,4,6]=>[1,2,3,4,7,6,5]=>6
[1,3,2,7,5,6,4]=>[1,2,3,4,7,5,6]=>4
[1,3,2,7,6,4,5]=>[1,2,3,4,7,5,6]=>4
[1,3,2,7,6,5,4]=>[1,2,3,4,7,5,6]=>4
[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
[1,3,4,6,2,7,5]=>[1,2,3,4,6,7,5]=>4
[1,3,4,6,5,2,7]=>[1,2,3,4,6,5,7]=>2
[1,3,4,6,5,7,2]=>[1,2,3,4,6,7,5]=>4
[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
[1,3,4,7,2,5,6]=>[1,2,3,4,7,6,5]=>6
[1,3,4,7,2,6,5]=>[1,2,3,4,7,5,6]=>4
[1,3,4,7,5,2,6]=>[1,2,3,4,7,6,5]=>6
[1,3,4,7,5,6,2]=>[1,2,3,4,7,5,6]=>4
[1,3,4,7,6,2,5]=>[1,2,3,4,7,5,6]=>4
[1,3,4,7,6,5,2]=>[1,2,3,4,7,5,6]=>4
[1,3,5,2,4,6,7]=>[1,2,3,5,4,6,7]=>2
[1,3,5,2,4,7,6]=>[1,2,3,5,4,6,7]=>2
[1,3,5,2,6,4,7]=>[1,2,3,5,6,4,7]=>4
[1,3,5,2,6,7,4]=>[1,2,3,5,6,7,4]=>8
[1,3,5,2,7,4,6]=>[1,2,3,5,7,6,4]=>12
[1,3,5,2,7,6,4]=>[1,2,3,5,7,4,6]=>8
[1,3,5,4,2,6,7]=>[1,2,3,5,4,6,7]=>2
[1,3,5,4,2,7,6]=>[1,2,3,5,4,6,7]=>2
[1,3,5,4,6,2,7]=>[1,2,3,5,6,4,7]=>4
[1,3,5,4,6,7,2]=>[1,2,3,5,6,7,4]=>8
[1,3,5,4,7,2,6]=>[1,2,3,5,7,6,4]=>12
[1,3,5,4,7,6,2]=>[1,2,3,5,7,4,6]=>8
[1,3,5,6,2,4,7]=>[1,2,3,5,4,6,7]=>2
[1,3,5,6,2,7,4]=>[1,2,3,5,4,6,7]=>2
[1,3,5,6,4,2,7]=>[1,2,3,5,4,6,7]=>2
[1,3,5,6,4,7,2]=>[1,2,3,5,4,6,7]=>2
[1,3,5,6,7,2,4]=>[1,2,3,5,7,4,6]=>8
[1,3,5,6,7,4,2]=>[1,2,3,5,7,4,6]=>8
[1,3,5,7,2,4,6]=>[1,2,3,5,4,7,6]=>4
[1,3,5,7,2,6,4]=>[1,2,3,5,4,7,6]=>4
[1,3,5,7,4,2,6]=>[1,2,3,5,4,7,6]=>4
[1,3,5,7,4,6,2]=>[1,2,3,5,4,7,6]=>4
[1,3,5,7,6,2,4]=>[1,2,3,5,6,4,7]=>4
[1,3,5,7,6,4,2]=>[1,2,3,5,6,4,7]=>4
[1,3,6,2,4,7,5]=>[1,2,3,6,7,5,4]=>18
[1,3,6,2,5,4,7]=>[1,2,3,6,4,5,7]=>4
[1,3,6,2,5,7,4]=>[1,2,3,6,7,4,5]=>14
[1,3,6,2,7,4,5]=>[1,2,3,6,4,5,7]=>4
[1,3,6,4,2,7,5]=>[1,2,3,6,7,5,4]=>18
[1,3,6,4,5,2,7]=>[1,2,3,6,4,5,7]=>4
[1,3,6,4,5,7,2]=>[1,2,3,6,7,4,5]=>14
[1,3,6,4,7,2,5]=>[1,2,3,6,4,5,7]=>4
[1,3,6,5,2,4,7]=>[1,2,3,6,4,5,7]=>4
[1,3,6,5,2,7,4]=>[1,2,3,6,7,4,5]=>14
[1,3,6,5,4,2,7]=>[1,2,3,6,4,5,7]=>4
[1,3,6,5,4,7,2]=>[1,2,3,6,7,4,5]=>14
[1,3,6,5,7,2,4]=>[1,2,3,6,4,5,7]=>4
[1,3,6,5,7,4,2]=>[1,2,3,6,4,5,7]=>4
[1,3,6,7,2,4,5]=>[1,2,3,6,4,7,5]=>8
[1,3,6,7,4,2,5]=>[1,2,3,6,4,7,5]=>8
[1,3,6,7,5,2,4]=>[1,2,3,6,4,7,5]=>8
[1,3,6,7,5,4,2]=>[1,2,3,6,4,7,5]=>8
[1,3,7,2,4,5,6]=>[1,2,3,7,6,5,4]=>24
[1,3,7,2,4,6,5]=>[1,2,3,7,5,4,6]=>12
[1,3,7,2,5,4,6]=>[1,2,3,7,6,4,5]=>18
[1,3,7,2,5,6,4]=>[1,2,3,7,4,5,6]=>8
[1,3,7,2,6,4,5]=>[1,2,3,7,5,6,4]=>18
[1,3,7,2,6,5,4]=>[1,2,3,7,4,5,6]=>8
[1,3,7,4,2,5,6]=>[1,2,3,7,6,5,4]=>24
[1,3,7,4,2,6,5]=>[1,2,3,7,5,4,6]=>12
[1,3,7,4,5,2,6]=>[1,2,3,7,6,4,5]=>18
[1,3,7,4,5,6,2]=>[1,2,3,7,4,5,6]=>8
[1,3,7,4,6,2,5]=>[1,2,3,7,5,6,4]=>18
[1,3,7,4,6,5,2]=>[1,2,3,7,4,5,6]=>8
[1,3,7,5,2,4,6]=>[1,2,3,7,6,4,5]=>18
[1,3,7,5,2,6,4]=>[1,2,3,7,4,5,6]=>8
[1,3,7,5,4,2,6]=>[1,2,3,7,6,4,5]=>18
[1,3,7,5,4,6,2]=>[1,2,3,7,4,5,6]=>8
[1,3,7,5,6,2,4]=>[1,2,3,7,4,5,6]=>8
[1,3,7,5,6,4,2]=>[1,2,3,7,4,5,6]=>8
[1,3,7,6,2,4,5]=>[1,2,3,7,5,4,6]=>12
[1,3,7,6,2,5,4]=>[1,2,3,7,4,6,5]=>12
[1,3,7,6,4,2,5]=>[1,2,3,7,5,4,6]=>12
[1,3,7,6,4,5,2]=>[1,2,3,7,4,6,5]=>12
[1,3,7,6,5,2,4]=>[1,2,3,7,4,6,5]=>12
[1,3,7,6,5,4,2]=>[1,2,3,7,4,6,5]=>12
[1,4,2,3,5,6,7]=>[1,2,4,3,5,6,7]=>2
[1,4,2,3,5,7,6]=>[1,2,4,3,5,6,7]=>2
[1,4,2,3,6,5,7]=>[1,2,4,3,5,6,7]=>2
[1,4,2,3,6,7,5]=>[1,2,4,3,5,6,7]=>2
[1,4,2,3,7,5,6]=>[1,2,4,3,5,7,6]=>4
[1,4,2,3,7,6,5]=>[1,2,4,3,5,7,6]=>4
[1,4,2,5,3,6,7]=>[1,2,4,5,3,6,7]=>4
[1,4,2,5,3,7,6]=>[1,2,4,5,3,6,7]=>4
[1,4,2,5,6,3,7]=>[1,2,4,5,6,3,7]=>8
[1,4,2,5,6,7,3]=>[1,2,4,5,6,7,3]=>16
[1,4,2,5,7,3,6]=>[1,2,4,5,7,6,3]=>24
[1,4,2,5,7,6,3]=>[1,2,4,5,7,3,6]=>16
[1,4,2,6,3,7,5]=>[1,2,4,6,7,5,3]=>36
[1,4,2,6,5,3,7]=>[1,2,4,6,3,5,7]=>8
[1,4,2,6,5,7,3]=>[1,2,4,6,7,3,5]=>28
[1,4,2,6,7,3,5]=>[1,2,4,6,3,5,7]=>8
[1,4,2,7,3,5,6]=>[1,2,4,7,6,5,3]=>48
[1,4,2,7,5,6,3]=>[1,2,4,7,3,5,6]=>16
[1,4,2,7,6,3,5]=>[1,2,4,7,5,6,3]=>36
[1,4,2,7,6,5,3]=>[1,2,4,7,3,5,6]=>16
[1,4,3,2,5,6,7]=>[1,2,4,3,5,6,7]=>2
[1,4,3,2,5,7,6]=>[1,2,4,3,5,6,7]=>2
[1,4,3,2,6,5,7]=>[1,2,4,3,5,6,7]=>2
[1,4,3,2,6,7,5]=>[1,2,4,3,5,6,7]=>2
[1,4,3,2,7,5,6]=>[1,2,4,3,5,7,6]=>4
[1,4,3,2,7,6,5]=>[1,2,4,3,5,7,6]=>4
[1,4,3,5,2,6,7]=>[1,2,4,5,3,6,7]=>4
[1,4,3,5,2,7,6]=>[1,2,4,5,3,6,7]=>4
[1,4,3,5,6,2,7]=>[1,2,4,5,6,3,7]=>8
[1,4,3,5,6,7,2]=>[1,2,4,5,6,7,3]=>16
[1,4,3,5,7,2,6]=>[1,2,4,5,7,6,3]=>24
[1,4,3,5,7,6,2]=>[1,2,4,5,7,3,6]=>16
[1,4,3,6,2,7,5]=>[1,2,4,6,7,5,3]=>36
[1,4,3,6,5,2,7]=>[1,2,4,6,3,5,7]=>8
[1,4,3,6,5,7,2]=>[1,2,4,6,7,3,5]=>28
[1,4,3,6,7,2,5]=>[1,2,4,6,3,5,7]=>8
[1,4,3,7,2,5,6]=>[1,2,4,7,6,5,3]=>48
[1,4,3,7,5,6,2]=>[1,2,4,7,3,5,6]=>16
[1,4,3,7,6,2,5]=>[1,2,4,7,5,6,3]=>36
[1,4,3,7,6,5,2]=>[1,2,4,7,3,5,6]=>16
[1,4,5,2,3,6,7]=>[1,2,4,3,5,6,7]=>2
[1,4,5,2,3,7,6]=>[1,2,4,3,5,6,7]=>2
[1,4,5,2,6,3,7]=>[1,2,4,3,5,6,7]=>2
[1,4,5,2,6,7,3]=>[1,2,4,3,5,6,7]=>2
[1,4,5,2,7,3,6]=>[1,2,4,3,5,7,6]=>4
[1,4,5,2,7,6,3]=>[1,2,4,3,5,7,6]=>4
[1,4,5,3,2,6,7]=>[1,2,4,3,5,6,7]=>2
[1,4,5,3,2,7,6]=>[1,2,4,3,5,6,7]=>2
[1,4,5,3,6,2,7]=>[1,2,4,3,5,6,7]=>2
[1,4,5,3,6,7,2]=>[1,2,4,3,5,6,7]=>2
[1,4,5,3,7,2,6]=>[1,2,4,3,5,7,6]=>4
[1,4,5,3,7,6,2]=>[1,2,4,3,5,7,6]=>4
[1,4,5,6,2,3,7]=>[1,2,4,6,3,5,7]=>8
[1,4,5,6,2,7,3]=>[1,2,4,6,7,3,5]=>28
[1,4,5,6,3,2,7]=>[1,2,4,6,3,5,7]=>8
[1,4,5,6,3,7,2]=>[1,2,4,6,7,3,5]=>28
[1,4,5,6,7,2,3]=>[1,2,4,6,3,5,7]=>8
[1,4,5,6,7,3,2]=>[1,2,4,6,3,5,7]=>8
[1,4,5,7,2,6,3]=>[1,2,4,7,3,5,6]=>16
[1,4,5,7,3,6,2]=>[1,2,4,7,3,5,6]=>16
[1,4,5,7,6,2,3]=>[1,2,4,7,3,5,6]=>16
[1,4,5,7,6,3,2]=>[1,2,4,7,3,5,6]=>16
[1,4,6,2,3,5,7]=>[1,2,4,3,6,5,7]=>4
[1,4,6,2,3,7,5]=>[1,2,4,3,6,7,5]=>8
[1,4,6,2,5,3,7]=>[1,2,4,3,6,5,7]=>4
[1,4,6,2,5,7,3]=>[1,2,4,3,6,7,5]=>8
[1,4,6,2,7,3,5]=>[1,2,4,3,6,5,7]=>4
[1,4,6,2,7,5,3]=>[1,2,4,3,6,5,7]=>4
[1,4,6,3,2,5,7]=>[1,2,4,3,6,5,7]=>4
[1,4,6,3,2,7,5]=>[1,2,4,3,6,7,5]=>8
[1,4,6,3,5,2,7]=>[1,2,4,3,6,5,7]=>4
[1,4,6,3,5,7,2]=>[1,2,4,3,6,7,5]=>8
[1,4,6,3,7,2,5]=>[1,2,4,3,6,5,7]=>4
[1,4,6,3,7,5,2]=>[1,2,4,3,6,5,7]=>4
[1,4,6,5,2,3,7]=>[1,2,4,5,3,6,7]=>4
[1,4,6,5,2,7,3]=>[1,2,4,5,3,6,7]=>4
[1,4,6,5,3,2,7]=>[1,2,4,5,3,6,7]=>4
[1,4,6,5,3,7,2]=>[1,2,4,5,3,6,7]=>4
[1,4,6,5,7,2,3]=>[1,2,4,5,7,3,6]=>16
[1,4,6,5,7,3,2]=>[1,2,4,5,7,3,6]=>16
[1,4,7,2,3,5,6]=>[1,2,4,3,7,6,5]=>12
[1,4,7,2,3,6,5]=>[1,2,4,3,7,5,6]=>8
[1,4,7,2,5,3,6]=>[1,2,4,3,7,6,5]=>12
[1,4,7,2,5,6,3]=>[1,2,4,3,7,5,6]=>8
[1,4,7,2,6,3,5]=>[1,2,4,3,7,5,6]=>8
[1,4,7,2,6,5,3]=>[1,2,4,3,7,5,6]=>8
[1,4,7,3,2,5,6]=>[1,2,4,3,7,6,5]=>12
[1,4,7,3,2,6,5]=>[1,2,4,3,7,5,6]=>8
[1,4,7,3,5,2,6]=>[1,2,4,3,7,6,5]=>12
[1,4,7,3,5,6,2]=>[1,2,4,3,7,5,6]=>8
[1,4,7,3,6,2,5]=>[1,2,4,3,7,5,6]=>8
[1,4,7,3,6,5,2]=>[1,2,4,3,7,5,6]=>8
[1,4,7,5,2,3,6]=>[1,2,4,5,3,7,6]=>8
[1,4,7,5,2,6,3]=>[1,2,4,5,3,7,6]=>8
[1,4,7,5,3,2,6]=>[1,2,4,5,3,7,6]=>8
[1,4,7,5,3,6,2]=>[1,2,4,5,3,7,6]=>8
[1,4,7,5,6,2,3]=>[1,2,4,5,6,3,7]=>8
[1,4,7,5,6,3,2]=>[1,2,4,5,6,3,7]=>8
[1,4,7,6,2,3,5]=>[1,2,4,6,3,7,5]=>16
[1,4,7,6,3,2,5]=>[1,2,4,6,3,7,5]=>16
[1,4,7,6,5,2,3]=>[1,2,4,6,3,7,5]=>16
[1,4,7,6,5,3,2]=>[1,2,4,6,3,7,5]=>16
[1,5,2,3,6,7,4]=>[1,2,5,6,7,4,3]=>54
[1,5,2,3,7,4,6]=>[1,2,5,7,6,4,3]=>72
[1,5,2,3,7,6,4]=>[1,2,5,7,4,3,6]=>36
[1,5,2,4,3,6,7]=>[1,2,5,3,4,6,7]=>4
[1,5,2,4,3,7,6]=>[1,2,5,3,4,6,7]=>4
[1,5,2,4,6,3,7]=>[1,2,5,6,3,4,7]=>14
[1,5,2,4,6,7,3]=>[1,2,5,6,7,3,4]=>46
[1,5,2,4,7,3,6]=>[1,2,5,7,6,3,4]=>60
[1,5,2,4,7,6,3]=>[1,2,5,7,3,4,6]=>28
[1,5,2,6,3,4,7]=>[1,2,5,3,4,6,7]=>4
[1,5,2,6,3,7,4]=>[1,2,5,3,4,6,7]=>4
[1,5,2,6,4,7,3]=>[1,2,5,4,6,7,3]=>24
[1,5,2,6,7,4,3]=>[1,2,5,7,3,4,6]=>28
[1,5,2,7,3,4,6]=>[1,2,5,3,4,7,6]=>8
[1,5,2,7,3,6,4]=>[1,2,5,3,4,7,6]=>8
[1,5,2,7,6,3,4]=>[1,2,5,6,3,4,7]=>14
[1,5,3,2,6,7,4]=>[1,2,5,6,7,4,3]=>54
[1,5,3,2,7,4,6]=>[1,2,5,7,6,4,3]=>72
[1,5,3,2,7,6,4]=>[1,2,5,7,4,3,6]=>36
[1,5,3,4,2,6,7]=>[1,2,5,3,4,6,7]=>4
[1,5,3,4,2,7,6]=>[1,2,5,3,4,6,7]=>4
[1,5,3,4,6,2,7]=>[1,2,5,6,3,4,7]=>14
[1,5,3,4,6,7,2]=>[1,2,5,6,7,3,4]=>46
[1,5,3,4,7,2,6]=>[1,2,5,7,6,3,4]=>60
[1,5,3,4,7,6,2]=>[1,2,5,7,3,4,6]=>28
[1,5,3,6,2,4,7]=>[1,2,5,3,4,6,7]=>4
[1,5,3,6,2,7,4]=>[1,2,5,3,4,6,7]=>4
[1,5,3,6,4,7,2]=>[1,2,5,4,6,7,3]=>24
[1,5,3,6,7,4,2]=>[1,2,5,7,3,4,6]=>28
[1,5,3,7,2,4,6]=>[1,2,5,3,4,7,6]=>8
[1,5,3,7,2,6,4]=>[1,2,5,3,4,7,6]=>8
[1,5,3,7,6,2,4]=>[1,2,5,6,3,4,7]=>14
[1,5,4,2,3,6,7]=>[1,2,5,3,4,6,7]=>4
[1,5,4,2,3,7,6]=>[1,2,5,3,4,6,7]=>4
[1,5,4,2,6,3,7]=>[1,2,5,6,3,4,7]=>14
[1,5,4,2,6,7,3]=>[1,2,5,6,7,3,4]=>46
[1,5,4,2,7,3,6]=>[1,2,5,7,6,3,4]=>60
[1,5,4,2,7,6,3]=>[1,2,5,7,3,4,6]=>28
[1,5,4,3,2,6,7]=>[1,2,5,3,4,6,7]=>4
[1,5,4,3,2,7,6]=>[1,2,5,3,4,6,7]=>4
[1,5,4,3,6,2,7]=>[1,2,5,6,3,4,7]=>14
[1,5,4,3,6,7,2]=>[1,2,5,6,7,3,4]=>46
[1,5,4,3,7,2,6]=>[1,2,5,7,6,3,4]=>60
[1,5,4,3,7,6,2]=>[1,2,5,7,3,4,6]=>28
[1,5,4,6,2,3,7]=>[1,2,5,3,4,6,7]=>4
[1,5,4,6,2,7,3]=>[1,2,5,3,4,6,7]=>4
[1,5,4,6,3,2,7]=>[1,2,5,3,4,6,7]=>4
[1,5,4,6,3,7,2]=>[1,2,5,3,4,6,7]=>4
[1,5,4,6,7,2,3]=>[1,2,5,7,3,4,6]=>28
[1,5,4,6,7,3,2]=>[1,2,5,7,3,4,6]=>28
[1,5,4,7,2,3,6]=>[1,2,5,3,4,7,6]=>8
[1,5,4,7,2,6,3]=>[1,2,5,3,4,7,6]=>8
[1,5,4,7,3,2,6]=>[1,2,5,3,4,7,6]=>8
[1,5,4,7,3,6,2]=>[1,2,5,3,4,7,6]=>8
[1,5,4,7,6,2,3]=>[1,2,5,6,3,4,7]=>14
[1,5,4,7,6,3,2]=>[1,2,5,6,3,4,7]=>14
[1,5,6,2,3,4,7]=>[1,2,5,3,6,4,7]=>8
[1,5,6,2,3,7,4]=>[1,2,5,3,6,7,4]=>16
[1,5,6,2,7,3,4]=>[1,2,5,7,4,3,6]=>36
[1,5,6,2,7,4,3]=>[1,2,5,7,3,6,4]=>42
[1,5,6,3,2,4,7]=>[1,2,5,3,6,4,7]=>8
[1,5,6,3,2,7,4]=>[1,2,5,3,6,7,4]=>16
[1,5,6,3,7,2,4]=>[1,2,5,7,4,3,6]=>36
[1,5,6,3,7,4,2]=>[1,2,5,7,3,6,4]=>42
[1,5,6,4,2,3,7]=>[1,2,5,3,6,4,7]=>8
[1,5,6,4,2,7,3]=>[1,2,5,3,6,7,4]=>16
[1,5,6,4,3,2,7]=>[1,2,5,3,6,4,7]=>8
[1,5,6,4,3,7,2]=>[1,2,5,3,6,7,4]=>16
[1,5,6,4,7,2,3]=>[1,2,5,7,3,6,4]=>42
[1,5,6,4,7,3,2]=>[1,2,5,7,3,6,4]=>42
[1,5,6,7,2,3,4]=>[1,2,5,3,6,4,7]=>8
[1,5,6,7,2,4,3]=>[1,2,5,3,6,4,7]=>8
[1,5,6,7,3,2,4]=>[1,2,5,3,6,4,7]=>8
[1,5,6,7,3,4,2]=>[1,2,5,3,6,4,7]=>8
[1,5,7,2,3,6,4]=>[1,2,5,3,7,4,6]=>16
[1,5,7,2,4,3,6]=>[1,2,5,4,3,7,6]=>12
[1,5,7,2,4,6,3]=>[1,2,5,4,3,7,6]=>12
[1,5,7,2,6,3,4]=>[1,2,5,6,3,7,4]=>28
[1,5,7,3,2,6,4]=>[1,2,5,3,7,4,6]=>16
[1,5,7,3,4,2,6]=>[1,2,5,4,3,7,6]=>12
[1,5,7,3,4,6,2]=>[1,2,5,4,3,7,6]=>12
[1,5,7,3,6,2,4]=>[1,2,5,6,3,7,4]=>28
[1,5,7,4,2,6,3]=>[1,2,5,3,7,4,6]=>16
[1,5,7,4,3,6,2]=>[1,2,5,3,7,4,6]=>16
[1,5,7,4,6,2,3]=>[1,2,5,6,3,7,4]=>28
[1,5,7,4,6,3,2]=>[1,2,5,6,3,7,4]=>28
[1,5,7,6,2,3,4]=>[1,2,5,3,7,4,6]=>16
[1,5,7,6,2,4,3]=>[1,2,5,3,7,4,6]=>16
[1,5,7,6,3,2,4]=>[1,2,5,3,7,4,6]=>16
[1,5,7,6,3,4,2]=>[1,2,5,3,7,4,6]=>16
[1,6,2,3,4,7,5]=>[1,2,6,7,5,4,3]=>96
[1,6,2,3,5,7,4]=>[1,2,6,7,4,3,5]=>60
[1,6,2,4,3,7,5]=>[1,2,6,7,5,3,4]=>78
[1,6,2,4,5,3,7]=>[1,2,6,3,4,5,7]=>8
[1,6,2,4,5,7,3]=>[1,2,6,7,3,4,5]=>46
[1,6,2,4,7,3,5]=>[1,2,6,3,4,5,7]=>8
[1,6,2,4,7,5,3]=>[1,2,6,5,7,3,4]=>60
[1,6,2,5,3,7,4]=>[1,2,6,7,4,5,3]=>78
[1,6,2,5,4,3,7]=>[1,2,6,3,4,5,7]=>8
[1,6,2,5,4,7,3]=>[1,2,6,7,3,4,5]=>46
[1,6,2,5,7,3,4]=>[1,2,6,3,4,5,7]=>8
[1,6,2,7,4,3,5]=>[1,2,6,3,4,7,5]=>16
[1,6,2,7,4,5,3]=>[1,2,6,5,4,7,3]=>48
[1,6,2,7,5,3,4]=>[1,2,6,3,4,7,5]=>16
[1,6,2,7,5,4,3]=>[1,2,6,4,7,3,5]=>42
[1,6,3,2,4,7,5]=>[1,2,6,7,5,4,3]=>96
[1,6,3,2,5,7,4]=>[1,2,6,7,4,3,5]=>60
[1,6,3,4,2,7,5]=>[1,2,6,7,5,3,4]=>78
[1,6,3,4,5,2,7]=>[1,2,6,3,4,5,7]=>8
[1,6,3,4,5,7,2]=>[1,2,6,7,3,4,5]=>46
[1,6,3,4,7,2,5]=>[1,2,6,3,4,5,7]=>8
[1,6,3,4,7,5,2]=>[1,2,6,5,7,3,4]=>60
[1,6,3,5,2,7,4]=>[1,2,6,7,4,5,3]=>78
[1,6,3,5,4,2,7]=>[1,2,6,3,4,5,7]=>8
[1,6,3,5,4,7,2]=>[1,2,6,7,3,4,5]=>46
[1,6,3,5,7,2,4]=>[1,2,6,3,4,5,7]=>8
[1,6,3,7,4,2,5]=>[1,2,6,3,4,7,5]=>16
[1,6,3,7,4,5,2]=>[1,2,6,5,4,7,3]=>48
[1,6,3,7,5,2,4]=>[1,2,6,3,4,7,5]=>16
[1,6,3,7,5,4,2]=>[1,2,6,4,7,3,5]=>42
[1,6,4,2,3,7,5]=>[1,2,6,7,5,3,4]=>78
[1,6,4,2,5,3,7]=>[1,2,6,3,4,5,7]=>8
[1,6,4,2,5,7,3]=>[1,2,6,7,3,4,5]=>46
[1,6,4,2,7,3,5]=>[1,2,6,3,4,5,7]=>8
[1,6,4,2,7,5,3]=>[1,2,6,5,7,3,4]=>60
[1,6,4,3,2,7,5]=>[1,2,6,7,5,3,4]=>78
[1,6,4,3,5,2,7]=>[1,2,6,3,4,5,7]=>8
[1,6,4,3,5,7,2]=>[1,2,6,7,3,4,5]=>46
[1,6,4,3,7,2,5]=>[1,2,6,3,4,5,7]=>8
[1,6,4,3,7,5,2]=>[1,2,6,5,7,3,4]=>60
[1,6,4,5,2,3,7]=>[1,2,6,3,4,5,7]=>8
[1,6,4,5,2,7,3]=>[1,2,6,7,3,4,5]=>46
[1,6,4,5,3,2,7]=>[1,2,6,3,4,5,7]=>8
[1,6,4,5,3,7,2]=>[1,2,6,7,3,4,5]=>46
[1,6,4,5,7,2,3]=>[1,2,6,3,4,5,7]=>8
[1,6,4,5,7,3,2]=>[1,2,6,3,4,5,7]=>8
[1,6,4,7,2,3,5]=>[1,2,6,3,4,7,5]=>16
[1,6,4,7,3,2,5]=>[1,2,6,3,4,7,5]=>16
[1,6,4,7,5,2,3]=>[1,2,6,3,4,7,5]=>16
[1,6,4,7,5,3,2]=>[1,2,6,3,4,7,5]=>16
[1,6,5,2,3,7,4]=>[1,2,6,7,4,3,5]=>60
[1,6,5,2,7,3,4]=>[1,2,6,3,5,7,4]=>24
[1,6,5,3,2,7,4]=>[1,2,6,7,4,3,5]=>60
[1,6,5,3,7,2,4]=>[1,2,6,3,5,7,4]=>24
[1,6,5,4,7,2,3]=>[1,2,6,3,5,7,4]=>24
[1,6,5,4,7,3,2]=>[1,2,6,3,5,7,4]=>24
[1,6,5,7,2,4,3]=>[1,2,6,4,7,3,5]=>42
[1,6,5,7,3,4,2]=>[1,2,6,4,7,3,5]=>42
[1,6,7,2,3,4,5]=>[1,2,6,4,3,7,5]=>24
[1,6,7,2,3,5,4]=>[1,2,6,5,3,7,4]=>36
[1,6,7,2,4,3,5]=>[1,2,6,3,7,5,4]=>36
[1,6,7,2,5,3,4]=>[1,2,6,3,7,4,5]=>28
[1,6,7,2,5,4,3]=>[1,2,6,4,3,7,5]=>24
[1,6,7,3,2,4,5]=>[1,2,6,4,3,7,5]=>24
[1,6,7,3,2,5,4]=>[1,2,6,5,3,7,4]=>36
[1,6,7,3,4,2,5]=>[1,2,6,3,7,5,4]=>36
[1,6,7,3,5,2,4]=>[1,2,6,3,7,4,5]=>28
[1,6,7,3,5,4,2]=>[1,2,6,4,3,7,5]=>24
[1,6,7,4,2,3,5]=>[1,2,6,3,7,5,4]=>36
[1,6,7,4,2,5,3]=>[1,2,6,5,3,7,4]=>36
[1,6,7,4,3,2,5]=>[1,2,6,3,7,5,4]=>36
[1,6,7,4,3,5,2]=>[1,2,6,5,3,7,4]=>36
[1,6,7,4,5,2,3]=>[1,2,6,3,7,4,5]=>28
[1,6,7,4,5,3,2]=>[1,2,6,3,7,4,5]=>28
[1,6,7,5,2,3,4]=>[1,2,6,3,7,4,5]=>28
[1,6,7,5,3,2,4]=>[1,2,6,3,7,4,5]=>28
[1,6,7,5,4,2,3]=>[1,2,6,3,7,4,5]=>28
[1,6,7,5,4,3,2]=>[1,2,6,3,7,4,5]=>28
[1,7,2,3,4,5,6]=>[1,2,7,6,5,4,3]=>120
[1,7,2,3,5,4,6]=>[1,2,7,6,4,3,5]=>72
[1,7,2,3,5,6,4]=>[1,2,7,4,3,5,6]=>24
[1,7,2,3,6,4,5]=>[1,2,7,5,6,4,3]=>96
[1,7,2,3,6,5,4]=>[1,2,7,4,3,5,6]=>24
[1,7,2,4,3,5,6]=>[1,2,7,6,5,3,4]=>96
[1,7,2,4,3,6,5]=>[1,2,7,5,3,4,6]=>36
[1,7,2,4,5,3,6]=>[1,2,7,6,3,4,5]=>54
[1,7,2,4,5,6,3]=>[1,2,7,3,4,5,6]=>16
[1,7,2,4,6,3,5]=>[1,2,7,5,6,3,4]=>78
[1,7,2,4,6,5,3]=>[1,2,7,3,4,5,6]=>16
[1,7,2,5,3,4,6]=>[1,2,7,6,4,5,3]=>96
[1,7,2,5,3,6,4]=>[1,2,7,4,5,3,6]=>36
[1,7,2,5,4,3,6]=>[1,2,7,6,3,4,5]=>54
[1,7,2,5,4,6,3]=>[1,2,7,3,4,5,6]=>16
[1,7,2,5,6,3,4]=>[1,2,7,4,5,6,3]=>54
[1,7,2,5,6,4,3]=>[1,2,7,3,4,5,6]=>16
[1,7,2,6,3,4,5]=>[1,2,7,5,3,4,6]=>36
[1,7,2,6,4,5,3]=>[1,2,7,3,4,6,5]=>24
[1,7,2,6,5,4,3]=>[1,2,7,3,4,6,5]=>24
[1,7,3,2,4,5,6]=>[1,2,7,6,5,4,3]=>120
[1,7,3,2,5,4,6]=>[1,2,7,6,4,3,5]=>72
[1,7,3,2,5,6,4]=>[1,2,7,4,3,5,6]=>24
[1,7,3,2,6,4,5]=>[1,2,7,5,6,4,3]=>96
[1,7,3,2,6,5,4]=>[1,2,7,4,3,5,6]=>24
[1,7,3,4,2,5,6]=>[1,2,7,6,5,3,4]=>96
[1,7,3,4,2,6,5]=>[1,2,7,5,3,4,6]=>36
[1,7,3,4,5,2,6]=>[1,2,7,6,3,4,5]=>54
[1,7,3,4,5,6,2]=>[1,2,7,3,4,5,6]=>16
[1,7,3,4,6,2,5]=>[1,2,7,5,6,3,4]=>78
[1,7,3,4,6,5,2]=>[1,2,7,3,4,5,6]=>16
[1,7,3,5,2,4,6]=>[1,2,7,6,4,5,3]=>96
[1,7,3,5,2,6,4]=>[1,2,7,4,5,3,6]=>36
[1,7,3,5,4,2,6]=>[1,2,7,6,3,4,5]=>54
[1,7,3,5,4,6,2]=>[1,2,7,3,4,5,6]=>16
[1,7,3,5,6,2,4]=>[1,2,7,4,5,6,3]=>54
[1,7,3,5,6,4,2]=>[1,2,7,3,4,5,6]=>16
[1,7,3,6,2,4,5]=>[1,2,7,5,3,4,6]=>36
[1,7,3,6,4,5,2]=>[1,2,7,3,4,6,5]=>24
[1,7,3,6,5,4,2]=>[1,2,7,3,4,6,5]=>24
[1,7,4,2,3,5,6]=>[1,2,7,6,5,3,4]=>96
[1,7,4,2,3,6,5]=>[1,2,7,5,3,4,6]=>36
[1,7,4,2,5,3,6]=>[1,2,7,6,3,4,5]=>54
[1,7,4,2,5,6,3]=>[1,2,7,3,4,5,6]=>16
[1,7,4,2,6,3,5]=>[1,2,7,5,6,3,4]=>78
[1,7,4,2,6,5,3]=>[1,2,7,3,4,5,6]=>16
[1,7,4,3,2,5,6]=>[1,2,7,6,5,3,4]=>96
[1,7,4,3,2,6,5]=>[1,2,7,5,3,4,6]=>36
[1,7,4,3,5,2,6]=>[1,2,7,6,3,4,5]=>54
[1,7,4,3,5,6,2]=>[1,2,7,3,4,5,6]=>16
[1,7,4,3,6,2,5]=>[1,2,7,5,6,3,4]=>78
[1,7,4,3,6,5,2]=>[1,2,7,3,4,5,6]=>16
[1,7,4,5,2,3,6]=>[1,2,7,6,3,4,5]=>54
[1,7,4,5,2,6,3]=>[1,2,7,3,4,5,6]=>16
[1,7,4,5,3,2,6]=>[1,2,7,6,3,4,5]=>54
[1,7,4,5,3,6,2]=>[1,2,7,3,4,5,6]=>16
[1,7,4,5,6,2,3]=>[1,2,7,3,4,5,6]=>16
[1,7,4,5,6,3,2]=>[1,2,7,3,4,5,6]=>16
[1,7,4,6,2,3,5]=>[1,2,7,5,3,4,6]=>36
[1,7,4,6,2,5,3]=>[1,2,7,3,4,6,5]=>24
[1,7,4,6,3,2,5]=>[1,2,7,5,3,4,6]=>36
[1,7,4,6,3,5,2]=>[1,2,7,3,4,6,5]=>24
[1,7,4,6,5,2,3]=>[1,2,7,3,4,6,5]=>24
[1,7,4,6,5,3,2]=>[1,2,7,3,4,6,5]=>24
[1,7,5,2,3,4,6]=>[1,2,7,6,4,3,5]=>72
[1,7,5,2,3,6,4]=>[1,2,7,4,3,5,6]=>24
[1,7,5,2,4,3,6]=>[1,2,7,6,3,5,4]=>72
[1,7,5,2,4,6,3]=>[1,2,7,3,5,4,6]=>24
[1,7,5,2,6,3,4]=>[1,2,7,4,3,5,6]=>24
[1,7,5,2,6,4,3]=>[1,2,7,3,5,6,4]=>36
[1,7,5,3,2,4,6]=>[1,2,7,6,4,3,5]=>72
[1,7,5,3,2,6,4]=>[1,2,7,4,3,5,6]=>24
[1,7,5,3,4,2,6]=>[1,2,7,6,3,5,4]=>72
[1,7,5,3,4,6,2]=>[1,2,7,3,5,4,6]=>24
[1,7,5,3,6,2,4]=>[1,2,7,4,3,5,6]=>24
[1,7,5,3,6,4,2]=>[1,2,7,3,5,6,4]=>36
[1,7,5,4,2,3,6]=>[1,2,7,6,3,5,4]=>72
[1,7,5,4,2,6,3]=>[1,2,7,3,5,4,6]=>24
[1,7,5,4,3,2,6]=>[1,2,7,6,3,5,4]=>72
[1,7,5,4,3,6,2]=>[1,2,7,3,5,4,6]=>24
[1,7,5,4,6,2,3]=>[1,2,7,3,5,6,4]=>36
[1,7,5,4,6,3,2]=>[1,2,7,3,5,6,4]=>36
[1,7,5,6,2,4,3]=>[1,2,7,3,5,4,6]=>24
[1,7,5,6,3,4,2]=>[1,2,7,3,5,4,6]=>24
[1,7,5,6,4,2,3]=>[1,2,7,3,5,4,6]=>24
[1,7,5,6,4,3,2]=>[1,2,7,3,5,4,6]=>24
[1,7,6,2,3,5,4]=>[1,2,7,4,3,6,5]=>36
[1,7,6,2,4,5,3]=>[1,2,7,3,6,5,4]=>48
[1,7,6,2,5,3,4]=>[1,2,7,4,3,6,5]=>36
[1,7,6,3,2,5,4]=>[1,2,7,4,3,6,5]=>36
[1,7,6,3,4,5,2]=>[1,2,7,3,6,5,4]=>48
[1,7,6,3,5,2,4]=>[1,2,7,4,3,6,5]=>36
[1,7,6,4,2,5,3]=>[1,2,7,3,6,5,4]=>48
[1,7,6,4,3,5,2]=>[1,2,7,3,6,5,4]=>48
[1,7,6,5,2,3,4]=>[1,2,7,4,5,3,6]=>36
[1,7,6,5,3,2,4]=>[1,2,7,4,5,3,6]=>36
[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
[2,1,3,6,4,7,5]=>[1,2,3,4,6,7,5]=>4
[2,1,3,6,5,4,7]=>[1,2,3,4,6,5,7]=>2
[2,1,3,6,5,7,4]=>[1,2,3,4,6,7,5]=>4
[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
[2,1,3,7,4,5,6]=>[1,2,3,4,7,6,5]=>6
[2,1,3,7,4,6,5]=>[1,2,3,4,7,5,6]=>4
[2,1,3,7,5,4,6]=>[1,2,3,4,7,6,5]=>6
[2,1,3,7,5,6,4]=>[1,2,3,4,7,5,6]=>4
[2,1,3,7,6,4,5]=>[1,2,3,4,7,5,6]=>4
[2,1,3,7,6,5,4]=>[1,2,3,4,7,5,6]=>4
[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
[2,1,4,6,3,7,5]=>[1,2,3,4,6,7,5]=>4
[2,1,4,6,5,3,7]=>[1,2,3,4,6,5,7]=>2
[2,1,4,6,5,7,3]=>[1,2,3,4,6,7,5]=>4
[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
[2,1,4,7,3,5,6]=>[1,2,3,4,7,6,5]=>6
[2,1,4,7,3,6,5]=>[1,2,3,4,7,5,6]=>4
[2,1,4,7,5,3,6]=>[1,2,3,4,7,6,5]=>6
[2,1,4,7,5,6,3]=>[1,2,3,4,7,5,6]=>4
[2,1,4,7,6,3,5]=>[1,2,3,4,7,5,6]=>4
[2,1,4,7,6,5,3]=>[1,2,3,4,7,5,6]=>4
[2,1,5,3,4,6,7]=>[1,2,3,5,4,6,7]=>2
[2,1,5,3,4,7,6]=>[1,2,3,5,4,6,7]=>2
[2,1,5,3,6,4,7]=>[1,2,3,5,6,4,7]=>4
[2,1,5,3,6,7,4]=>[1,2,3,5,6,7,4]=>8
[2,1,5,3,7,4,6]=>[1,2,3,5,7,6,4]=>12
[2,1,5,3,7,6,4]=>[1,2,3,5,7,4,6]=>8
[2,1,5,4,3,6,7]=>[1,2,3,5,4,6,7]=>2
[2,1,5,4,3,7,6]=>[1,2,3,5,4,6,7]=>2
[2,1,5,4,6,3,7]=>[1,2,3,5,6,4,7]=>4
[2,1,5,4,6,7,3]=>[1,2,3,5,6,7,4]=>8
[2,1,5,4,7,3,6]=>[1,2,3,5,7,6,4]=>12
[2,1,5,4,7,6,3]=>[1,2,3,5,7,4,6]=>8
[2,1,5,6,3,4,7]=>[1,2,3,5,4,6,7]=>2
[2,1,5,6,3,7,4]=>[1,2,3,5,4,6,7]=>2
[2,1,5,6,4,3,7]=>[1,2,3,5,4,6,7]=>2
[2,1,5,6,4,7,3]=>[1,2,3,5,4,6,7]=>2
[2,1,5,6,7,3,4]=>[1,2,3,5,7,4,6]=>8
[2,1,5,6,7,4,3]=>[1,2,3,5,7,4,6]=>8
[2,1,5,7,3,4,6]=>[1,2,3,5,4,7,6]=>4
[2,1,5,7,3,6,4]=>[1,2,3,5,4,7,6]=>4
[2,1,5,7,4,3,6]=>[1,2,3,5,4,7,6]=>4
[2,1,5,7,4,6,3]=>[1,2,3,5,4,7,6]=>4
[2,1,5,7,6,3,4]=>[1,2,3,5,6,4,7]=>4
[2,1,5,7,6,4,3]=>[1,2,3,5,6,4,7]=>4
[2,1,6,3,4,7,5]=>[1,2,3,6,7,5,4]=>18
[2,1,6,3,5,4,7]=>[1,2,3,6,4,5,7]=>4
[2,1,6,3,5,7,4]=>[1,2,3,6,7,4,5]=>14
[2,1,6,3,7,4,5]=>[1,2,3,6,4,5,7]=>4
[2,1,6,4,3,7,5]=>[1,2,3,6,7,5,4]=>18
[2,1,6,4,5,3,7]=>[1,2,3,6,4,5,7]=>4
[2,1,6,4,5,7,3]=>[1,2,3,6,7,4,5]=>14
[2,1,6,4,7,3,5]=>[1,2,3,6,4,5,7]=>4
[2,1,6,5,3,4,7]=>[1,2,3,6,4,5,7]=>4
[2,1,6,5,3,7,4]=>[1,2,3,6,7,4,5]=>14
[2,1,6,5,4,3,7]=>[1,2,3,6,4,5,7]=>4
[2,1,6,5,4,7,3]=>[1,2,3,6,7,4,5]=>14
[2,1,6,5,7,3,4]=>[1,2,3,6,4,5,7]=>4
[2,1,6,5,7,4,3]=>[1,2,3,6,4,5,7]=>4
[2,1,6,7,3,4,5]=>[1,2,3,6,4,7,5]=>8
[2,1,6,7,4,3,5]=>[1,2,3,6,4,7,5]=>8
[2,1,6,7,5,3,4]=>[1,2,3,6,4,7,5]=>8
[2,1,6,7,5,4,3]=>[1,2,3,6,4,7,5]=>8
[2,1,7,3,4,5,6]=>[1,2,3,7,6,5,4]=>24
[2,1,7,3,4,6,5]=>[1,2,3,7,5,4,6]=>12
[2,1,7,3,5,4,6]=>[1,2,3,7,6,4,5]=>18
[2,1,7,3,5,6,4]=>[1,2,3,7,4,5,6]=>8
[2,1,7,3,6,4,5]=>[1,2,3,7,5,6,4]=>18
[2,1,7,3,6,5,4]=>[1,2,3,7,4,5,6]=>8
[2,1,7,4,3,5,6]=>[1,2,3,7,6,5,4]=>24
[2,1,7,4,3,6,5]=>[1,2,3,7,5,4,6]=>12
[2,1,7,4,5,3,6]=>[1,2,3,7,6,4,5]=>18
[2,1,7,4,5,6,3]=>[1,2,3,7,4,5,6]=>8
[2,1,7,4,6,3,5]=>[1,2,3,7,5,6,4]=>18
[2,1,7,4,6,5,3]=>[1,2,3,7,4,5,6]=>8
[2,1,7,5,3,4,6]=>[1,2,3,7,6,4,5]=>18
[2,1,7,5,3,6,4]=>[1,2,3,7,4,5,6]=>8
[2,1,7,5,4,3,6]=>[1,2,3,7,6,4,5]=>18
[2,1,7,5,4,6,3]=>[1,2,3,7,4,5,6]=>8
[2,1,7,5,6,3,4]=>[1,2,3,7,4,5,6]=>8
[2,1,7,5,6,4,3]=>[1,2,3,7,4,5,6]=>8
[2,1,7,6,3,4,5]=>[1,2,3,7,5,4,6]=>12
[2,1,7,6,3,5,4]=>[1,2,3,7,4,6,5]=>12
[2,1,7,6,4,3,5]=>[1,2,3,7,5,4,6]=>12
[2,1,7,6,4,5,3]=>[1,2,3,7,4,6,5]=>12
[2,1,7,6,5,3,4]=>[1,2,3,7,4,6,5]=>12
[2,1,7,6,5,4,3]=>[1,2,3,7,4,6,5]=>12
[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
[2,3,1,6,4,7,5]=>[1,2,3,4,6,7,5]=>4
[2,3,1,6,5,4,7]=>[1,2,3,4,6,5,7]=>2
[2,3,1,6,5,7,4]=>[1,2,3,4,6,7,5]=>4
[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
[2,3,1,7,4,5,6]=>[1,2,3,4,7,6,5]=>6
[2,3,1,7,4,6,5]=>[1,2,3,4,7,5,6]=>4
[2,3,1,7,5,4,6]=>[1,2,3,4,7,6,5]=>6
[2,3,1,7,5,6,4]=>[1,2,3,4,7,5,6]=>4
[2,3,1,7,6,4,5]=>[1,2,3,4,7,5,6]=>4
[2,3,1,7,6,5,4]=>[1,2,3,4,7,5,6]=>4
[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
[2,3,4,6,1,7,5]=>[1,2,3,4,6,7,5]=>4
[2,3,4,6,5,1,7]=>[1,2,3,4,6,5,7]=>2
[2,3,4,6,5,7,1]=>[1,2,3,4,6,7,5]=>4
[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
[2,3,4,7,1,5,6]=>[1,2,3,4,7,6,5]=>6
[2,3,4,7,1,6,5]=>[1,2,3,4,7,5,6]=>4
[2,3,4,7,5,1,6]=>[1,2,3,4,7,6,5]=>6
[2,3,4,7,5,6,1]=>[1,2,3,4,7,5,6]=>4
[2,3,4,7,6,1,5]=>[1,2,3,4,7,5,6]=>4
[2,3,4,7,6,5,1]=>[1,2,3,4,7,5,6]=>4
[2,3,5,1,4,6,7]=>[1,2,3,5,4,6,7]=>2
[2,3,5,1,4,7,6]=>[1,2,3,5,4,6,7]=>2
[2,3,5,1,6,4,7]=>[1,2,3,5,6,4,7]=>4
[2,3,5,1,6,7,4]=>[1,2,3,5,6,7,4]=>8
[2,3,5,1,7,4,6]=>[1,2,3,5,7,6,4]=>12
[2,3,5,1,7,6,4]=>[1,2,3,5,7,4,6]=>8
[2,3,5,4,1,6,7]=>[1,2,3,5,4,6,7]=>2
[2,3,5,4,1,7,6]=>[1,2,3,5,4,6,7]=>2
[2,3,5,4,6,1,7]=>[1,2,3,5,6,4,7]=>4
[2,3,5,4,6,7,1]=>[1,2,3,5,6,7,4]=>8
[2,3,5,4,7,1,6]=>[1,2,3,5,7,6,4]=>12
[2,3,5,4,7,6,1]=>[1,2,3,5,7,4,6]=>8
[2,3,5,6,1,4,7]=>[1,2,3,5,4,6,7]=>2
[2,3,5,6,1,7,4]=>[1,2,3,5,4,6,7]=>2
[2,3,5,6,4,1,7]=>[1,2,3,5,4,6,7]=>2
[2,3,5,6,4,7,1]=>[1,2,3,5,4,6,7]=>2
[2,3,5,6,7,1,4]=>[1,2,3,5,7,4,6]=>8
[2,3,5,6,7,4,1]=>[1,2,3,5,7,4,6]=>8
[2,3,5,7,1,4,6]=>[1,2,3,5,4,7,6]=>4
[2,3,5,7,1,6,4]=>[1,2,3,5,4,7,6]=>4
[2,3,5,7,4,1,6]=>[1,2,3,5,4,7,6]=>4
[2,3,5,7,4,6,1]=>[1,2,3,5,4,7,6]=>4
[2,3,5,7,6,1,4]=>[1,2,3,5,6,4,7]=>4
[2,3,5,7,6,4,1]=>[1,2,3,5,6,4,7]=>4
[2,3,6,1,4,7,5]=>[1,2,3,6,7,5,4]=>18
[2,3,6,1,5,4,7]=>[1,2,3,6,4,5,7]=>4
[2,3,6,1,5,7,4]=>[1,2,3,6,7,4,5]=>14
[2,3,6,1,7,4,5]=>[1,2,3,6,4,5,7]=>4
[2,3,6,4,1,7,5]=>[1,2,3,6,7,5,4]=>18
[2,3,6,4,5,1,7]=>[1,2,3,6,4,5,7]=>4
[2,3,6,4,5,7,1]=>[1,2,3,6,7,4,5]=>14
[2,3,6,4,7,1,5]=>[1,2,3,6,4,5,7]=>4
[2,3,6,5,1,4,7]=>[1,2,3,6,4,5,7]=>4
[2,3,6,5,1,7,4]=>[1,2,3,6,7,4,5]=>14
[2,3,6,5,4,1,7]=>[1,2,3,6,4,5,7]=>4
[2,3,6,5,4,7,1]=>[1,2,3,6,7,4,5]=>14
[2,3,6,5,7,1,4]=>[1,2,3,6,4,5,7]=>4
[2,3,6,5,7,4,1]=>[1,2,3,6,4,5,7]=>4
[2,3,6,7,1,4,5]=>[1,2,3,6,4,7,5]=>8
[2,3,6,7,4,1,5]=>[1,2,3,6,4,7,5]=>8
[2,3,6,7,5,1,4]=>[1,2,3,6,4,7,5]=>8
[2,3,6,7,5,4,1]=>[1,2,3,6,4,7,5]=>8
[2,3,7,1,4,5,6]=>[1,2,3,7,6,5,4]=>24
[2,3,7,1,4,6,5]=>[1,2,3,7,5,4,6]=>12
[2,3,7,1,5,4,6]=>[1,2,3,7,6,4,5]=>18
[2,3,7,1,5,6,4]=>[1,2,3,7,4,5,6]=>8
[2,3,7,1,6,4,5]=>[1,2,3,7,5,6,4]=>18
[2,3,7,1,6,5,4]=>[1,2,3,7,4,5,6]=>8
[2,3,7,4,1,5,6]=>[1,2,3,7,6,5,4]=>24
[2,3,7,4,1,6,5]=>[1,2,3,7,5,4,6]=>12
[2,3,7,4,5,1,6]=>[1,2,3,7,6,4,5]=>18
[2,3,7,4,5,6,1]=>[1,2,3,7,4,5,6]=>8
[2,3,7,4,6,1,5]=>[1,2,3,7,5,6,4]=>18
[2,3,7,4,6,5,1]=>[1,2,3,7,4,5,6]=>8
[2,3,7,5,1,4,6]=>[1,2,3,7,6,4,5]=>18
[2,3,7,5,1,6,4]=>[1,2,3,7,4,5,6]=>8
[2,3,7,5,4,1,6]=>[1,2,3,7,6,4,5]=>18
[2,3,7,5,4,6,1]=>[1,2,3,7,4,5,6]=>8
[2,3,7,5,6,1,4]=>[1,2,3,7,4,5,6]=>8
[2,3,7,5,6,4,1]=>[1,2,3,7,4,5,6]=>8
[2,3,7,6,1,4,5]=>[1,2,3,7,5,4,6]=>12
[2,3,7,6,1,5,4]=>[1,2,3,7,4,6,5]=>12
[2,3,7,6,4,1,5]=>[1,2,3,7,5,4,6]=>12
[2,3,7,6,4,5,1]=>[1,2,3,7,4,6,5]=>12
[2,3,7,6,5,1,4]=>[1,2,3,7,4,6,5]=>12
[2,3,7,6,5,4,1]=>[1,2,3,7,4,6,5]=>12
[2,4,1,3,5,6,7]=>[1,2,4,3,5,6,7]=>2
[2,4,1,3,5,7,6]=>[1,2,4,3,5,6,7]=>2
[2,4,1,3,6,5,7]=>[1,2,4,3,5,6,7]=>2
[2,4,1,3,6,7,5]=>[1,2,4,3,5,6,7]=>2
[2,4,1,3,7,5,6]=>[1,2,4,3,5,7,6]=>4
[2,4,1,3,7,6,5]=>[1,2,4,3,5,7,6]=>4
[2,4,1,5,3,6,7]=>[1,2,4,5,3,6,7]=>4
[2,4,1,5,3,7,6]=>[1,2,4,5,3,6,7]=>4
[2,4,1,5,6,3,7]=>[1,2,4,5,6,3,7]=>8
[2,4,1,5,6,7,3]=>[1,2,4,5,6,7,3]=>16
[2,4,1,5,7,3,6]=>[1,2,4,5,7,6,3]=>24
[2,4,1,5,7,6,3]=>[1,2,4,5,7,3,6]=>16
[2,4,1,6,3,7,5]=>[1,2,4,6,7,5,3]=>36
[2,4,1,6,5,3,7]=>[1,2,4,6,3,5,7]=>8
[2,4,1,6,5,7,3]=>[1,2,4,6,7,3,5]=>28
[2,4,1,6,7,3,5]=>[1,2,4,6,3,5,7]=>8
[2,4,1,7,3,5,6]=>[1,2,4,7,6,5,3]=>48
[2,4,1,7,5,6,3]=>[1,2,4,7,3,5,6]=>16
[2,4,1,7,6,3,5]=>[1,2,4,7,5,6,3]=>36
[2,4,1,7,6,5,3]=>[1,2,4,7,3,5,6]=>16
[2,4,3,1,5,6,7]=>[1,2,4,3,5,6,7]=>2
[2,4,3,1,5,7,6]=>[1,2,4,3,5,6,7]=>2
[2,4,3,1,6,5,7]=>[1,2,4,3,5,6,7]=>2
[2,4,3,1,6,7,5]=>[1,2,4,3,5,6,7]=>2
[2,4,3,1,7,5,6]=>[1,2,4,3,5,7,6]=>4
[2,4,3,1,7,6,5]=>[1,2,4,3,5,7,6]=>4
[2,4,3,5,1,6,7]=>[1,2,4,5,3,6,7]=>4
[2,4,3,5,1,7,6]=>[1,2,4,5,3,6,7]=>4
[2,4,3,5,6,1,7]=>[1,2,4,5,6,3,7]=>8
[2,4,3,5,6,7,1]=>[1,2,4,5,6,7,3]=>16
[2,4,3,5,7,1,6]=>[1,2,4,5,7,6,3]=>24
[2,4,3,5,7,6,1]=>[1,2,4,5,7,3,6]=>16
[2,4,3,6,1,7,5]=>[1,2,4,6,7,5,3]=>36
[2,4,3,6,5,1,7]=>[1,2,4,6,3,5,7]=>8
[2,4,3,6,5,7,1]=>[1,2,4,6,7,3,5]=>28
[2,4,3,6,7,1,5]=>[1,2,4,6,3,5,7]=>8
[2,4,3,7,1,5,6]=>[1,2,4,7,6,5,3]=>48
[2,4,3,7,5,6,1]=>[1,2,4,7,3,5,6]=>16
[2,4,3,7,6,1,5]=>[1,2,4,7,5,6,3]=>36
[2,4,3,7,6,5,1]=>[1,2,4,7,3,5,6]=>16
[2,4,5,1,3,6,7]=>[1,2,4,3,5,6,7]=>2
[2,4,5,1,3,7,6]=>[1,2,4,3,5,6,7]=>2
[2,4,5,1,6,3,7]=>[1,2,4,3,5,6,7]=>2
[2,4,5,1,6,7,3]=>[1,2,4,3,5,6,7]=>2
[2,4,5,1,7,3,6]=>[1,2,4,3,5,7,6]=>4
[2,4,5,1,7,6,3]=>[1,2,4,3,5,7,6]=>4
[2,4,5,3,1,6,7]=>[1,2,4,3,5,6,7]=>2
[2,4,5,3,1,7,6]=>[1,2,4,3,5,6,7]=>2
[2,4,5,3,6,1,7]=>[1,2,4,3,5,6,7]=>2
[2,4,5,3,6,7,1]=>[1,2,4,3,5,6,7]=>2
[2,4,5,3,7,1,6]=>[1,2,4,3,5,7,6]=>4
[2,4,5,3,7,6,1]=>[1,2,4,3,5,7,6]=>4
[2,4,5,6,1,3,7]=>[1,2,4,6,3,5,7]=>8
[2,4,5,6,1,7,3]=>[1,2,4,6,7,3,5]=>28
[2,4,5,6,3,1,7]=>[1,2,4,6,3,5,7]=>8
[2,4,5,6,3,7,1]=>[1,2,4,6,7,3,5]=>28
[2,4,5,6,7,1,3]=>[1,2,4,6,3,5,7]=>8
[2,4,5,6,7,3,1]=>[1,2,4,6,3,5,7]=>8
[2,4,5,7,1,6,3]=>[1,2,4,7,3,5,6]=>16
[2,4,5,7,3,6,1]=>[1,2,4,7,3,5,6]=>16
[2,4,5,7,6,1,3]=>[1,2,4,7,3,5,6]=>16
[2,4,5,7,6,3,1]=>[1,2,4,7,3,5,6]=>16
[2,4,6,1,3,5,7]=>[1,2,4,3,6,5,7]=>4
[2,4,6,1,3,7,5]=>[1,2,4,3,6,7,5]=>8
[2,4,6,1,5,3,7]=>[1,2,4,3,6,5,7]=>4
[2,4,6,1,5,7,3]=>[1,2,4,3,6,7,5]=>8
[2,4,6,1,7,3,5]=>[1,2,4,3,6,5,7]=>4
[2,4,6,1,7,5,3]=>[1,2,4,3,6,5,7]=>4
[2,4,6,3,1,5,7]=>[1,2,4,3,6,5,7]=>4
[2,4,6,3,1,7,5]=>[1,2,4,3,6,7,5]=>8
[2,4,6,3,5,1,7]=>[1,2,4,3,6,5,7]=>4
[2,4,6,3,5,7,1]=>[1,2,4,3,6,7,5]=>8
[2,4,6,3,7,1,5]=>[1,2,4,3,6,5,7]=>4
[2,4,6,3,7,5,1]=>[1,2,4,3,6,5,7]=>4
[2,4,6,5,1,3,7]=>[1,2,4,5,3,6,7]=>4
[2,4,6,5,1,7,3]=>[1,2,4,5,3,6,7]=>4
[2,4,6,5,3,1,7]=>[1,2,4,5,3,6,7]=>4
[2,4,6,5,3,7,1]=>[1,2,4,5,3,6,7]=>4
[2,4,6,5,7,1,3]=>[1,2,4,5,7,3,6]=>16
[2,4,6,5,7,3,1]=>[1,2,4,5,7,3,6]=>16
[2,4,7,1,3,5,6]=>[1,2,4,3,7,6,5]=>12
[2,4,7,1,3,6,5]=>[1,2,4,3,7,5,6]=>8
[2,4,7,1,5,3,6]=>[1,2,4,3,7,6,5]=>12
[2,4,7,1,5,6,3]=>[1,2,4,3,7,5,6]=>8
[2,4,7,1,6,3,5]=>[1,2,4,3,7,5,6]=>8
[2,4,7,1,6,5,3]=>[1,2,4,3,7,5,6]=>8
[2,4,7,3,1,5,6]=>[1,2,4,3,7,6,5]=>12
[2,4,7,3,1,6,5]=>[1,2,4,3,7,5,6]=>8
[2,4,7,3,5,1,6]=>[1,2,4,3,7,6,5]=>12
[2,4,7,3,5,6,1]=>[1,2,4,3,7,5,6]=>8
[2,4,7,3,6,1,5]=>[1,2,4,3,7,5,6]=>8
[2,4,7,3,6,5,1]=>[1,2,4,3,7,5,6]=>8
[2,4,7,5,1,3,6]=>[1,2,4,5,3,7,6]=>8
[2,4,7,5,1,6,3]=>[1,2,4,5,3,7,6]=>8
[2,4,7,5,3,1,6]=>[1,2,4,5,3,7,6]=>8
[2,4,7,5,3,6,1]=>[1,2,4,5,3,7,6]=>8
[2,4,7,5,6,1,3]=>[1,2,4,5,6,3,7]=>8
[2,4,7,5,6,3,1]=>[1,2,4,5,6,3,7]=>8
[2,4,7,6,1,3,5]=>[1,2,4,6,3,7,5]=>16
[2,4,7,6,3,1,5]=>[1,2,4,6,3,7,5]=>16
[2,4,7,6,5,1,3]=>[1,2,4,6,3,7,5]=>16
[2,4,7,6,5,3,1]=>[1,2,4,6,3,7,5]=>16
[2,5,1,3,6,7,4]=>[1,2,5,6,7,4,3]=>54
[2,5,1,3,7,4,6]=>[1,2,5,7,6,4,3]=>72
[2,5,1,3,7,6,4]=>[1,2,5,7,4,3,6]=>36
[2,5,1,4,3,6,7]=>[1,2,5,3,4,6,7]=>4
[2,5,1,4,3,7,6]=>[1,2,5,3,4,6,7]=>4
[2,5,1,4,6,3,7]=>[1,2,5,6,3,4,7]=>14
[2,5,1,4,6,7,3]=>[1,2,5,6,7,3,4]=>46
[2,5,1,4,7,3,6]=>[1,2,5,7,6,3,4]=>60
[2,5,1,4,7,6,3]=>[1,2,5,7,3,4,6]=>28
[2,5,1,6,3,4,7]=>[1,2,5,3,4,6,7]=>4
[2,5,1,6,3,7,4]=>[1,2,5,3,4,6,7]=>4
[2,5,1,6,4,7,3]=>[1,2,5,4,6,7,3]=>24
[2,5,1,6,7,4,3]=>[1,2,5,7,3,4,6]=>28
[2,5,1,7,3,4,6]=>[1,2,5,3,4,7,6]=>8
[2,5,1,7,3,6,4]=>[1,2,5,3,4,7,6]=>8
[2,5,1,7,6,3,4]=>[1,2,5,6,3,4,7]=>14
[2,5,3,1,6,7,4]=>[1,2,5,6,7,4,3]=>54
[2,5,3,1,7,4,6]=>[1,2,5,7,6,4,3]=>72
[2,5,3,1,7,6,4]=>[1,2,5,7,4,3,6]=>36
[2,5,3,4,1,6,7]=>[1,2,5,3,4,6,7]=>4
[2,5,3,4,1,7,6]=>[1,2,5,3,4,6,7]=>4
[2,5,3,4,6,1,7]=>[1,2,5,6,3,4,7]=>14
[2,5,3,4,6,7,1]=>[1,2,5,6,7,3,4]=>46
[2,5,3,4,7,1,6]=>[1,2,5,7,6,3,4]=>60
[2,5,3,4,7,6,1]=>[1,2,5,7,3,4,6]=>28
[2,5,3,6,1,4,7]=>[1,2,5,3,4,6,7]=>4
[2,5,3,6,1,7,4]=>[1,2,5,3,4,6,7]=>4
[2,5,3,6,4,7,1]=>[1,2,5,4,6,7,3]=>24
[2,5,3,6,7,4,1]=>[1,2,5,7,3,4,6]=>28
[2,5,3,7,1,4,6]=>[1,2,5,3,4,7,6]=>8
[2,5,3,7,1,6,4]=>[1,2,5,3,4,7,6]=>8
[2,5,3,7,6,1,4]=>[1,2,5,6,3,4,7]=>14
[2,5,4,1,3,6,7]=>[1,2,5,3,4,6,7]=>4
[2,5,4,1,3,7,6]=>[1,2,5,3,4,6,7]=>4
[2,5,4,1,6,3,7]=>[1,2,5,6,3,4,7]=>14
[2,5,4,1,6,7,3]=>[1,2,5,6,7,3,4]=>46
[2,5,4,1,7,3,6]=>[1,2,5,7,6,3,4]=>60
[2,5,4,1,7,6,3]=>[1,2,5,7,3,4,6]=>28
[2,5,4,3,1,6,7]=>[1,2,5,3,4,6,7]=>4
[2,5,4,3,1,7,6]=>[1,2,5,3,4,6,7]=>4
[2,5,4,3,6,1,7]=>[1,2,5,6,3,4,7]=>14
[2,5,4,3,6,7,1]=>[1,2,5,6,7,3,4]=>46
[2,5,4,3,7,1,6]=>[1,2,5,7,6,3,4]=>60
[2,5,4,3,7,6,1]=>[1,2,5,7,3,4,6]=>28
[2,5,4,6,1,3,7]=>[1,2,5,3,4,6,7]=>4
[2,5,4,6,1,7,3]=>[1,2,5,3,4,6,7]=>4
[2,5,4,6,3,1,7]=>[1,2,5,3,4,6,7]=>4
[2,5,4,6,3,7,1]=>[1,2,5,3,4,6,7]=>4
[2,5,4,6,7,1,3]=>[1,2,5,7,3,4,6]=>28
[2,5,4,6,7,3,1]=>[1,2,5,7,3,4,6]=>28
[2,5,4,7,1,3,6]=>[1,2,5,3,4,7,6]=>8
[2,5,4,7,1,6,3]=>[1,2,5,3,4,7,6]=>8
[2,5,4,7,3,1,6]=>[1,2,5,3,4,7,6]=>8
[2,5,4,7,3,6,1]=>[1,2,5,3,4,7,6]=>8
[2,5,4,7,6,1,3]=>[1,2,5,6,3,4,7]=>14
[2,5,4,7,6,3,1]=>[1,2,5,6,3,4,7]=>14
[2,5,6,1,3,4,7]=>[1,2,5,3,6,4,7]=>8
[2,5,6,1,3,7,4]=>[1,2,5,3,6,7,4]=>16
[2,5,6,1,7,3,4]=>[1,2,5,7,4,3,6]=>36
[2,5,6,1,7,4,3]=>[1,2,5,7,3,6,4]=>42
[2,5,6,3,1,4,7]=>[1,2,5,3,6,4,7]=>8
[2,5,6,3,1,7,4]=>[1,2,5,3,6,7,4]=>16
[2,5,6,3,7,1,4]=>[1,2,5,7,4,3,6]=>36
[2,5,6,3,7,4,1]=>[1,2,5,7,3,6,4]=>42
[2,5,6,4,1,3,7]=>[1,2,5,3,6,4,7]=>8
[2,5,6,4,1,7,3]=>[1,2,5,3,6,7,4]=>16
[2,5,6,4,3,1,7]=>[1,2,5,3,6,4,7]=>8
[2,5,6,4,3,7,1]=>[1,2,5,3,6,7,4]=>16
[2,5,6,4,7,1,3]=>[1,2,5,7,3,6,4]=>42
[2,5,6,4,7,3,1]=>[1,2,5,7,3,6,4]=>42
[2,5,6,7,1,3,4]=>[1,2,5,3,6,4,7]=>8
[2,5,6,7,1,4,3]=>[1,2,5,3,6,4,7]=>8
[2,5,6,7,3,1,4]=>[1,2,5,3,6,4,7]=>8
[2,5,6,7,3,4,1]=>[1,2,5,3,6,4,7]=>8
[2,5,7,1,3,6,4]=>[1,2,5,3,7,4,6]=>16
[2,5,7,1,4,3,6]=>[1,2,5,4,3,7,6]=>12
[2,5,7,1,4,6,3]=>[1,2,5,4,3,7,6]=>12
[2,5,7,1,6,3,4]=>[1,2,5,6,3,7,4]=>28
[2,5,7,3,1,6,4]=>[1,2,5,3,7,4,6]=>16
[2,5,7,3,4,1,6]=>[1,2,5,4,3,7,6]=>12
[2,5,7,3,4,6,1]=>[1,2,5,4,3,7,6]=>12
[2,5,7,3,6,1,4]=>[1,2,5,6,3,7,4]=>28
[2,5,7,4,1,6,3]=>[1,2,5,3,7,4,6]=>16
[2,5,7,4,3,6,1]=>[1,2,5,3,7,4,6]=>16
[2,5,7,4,6,1,3]=>[1,2,5,6,3,7,4]=>28
[2,5,7,4,6,3,1]=>[1,2,5,6,3,7,4]=>28
[2,5,7,6,1,3,4]=>[1,2,5,3,7,4,6]=>16
[2,5,7,6,1,4,3]=>[1,2,5,3,7,4,6]=>16
[2,5,7,6,3,1,4]=>[1,2,5,3,7,4,6]=>16
[2,5,7,6,3,4,1]=>[1,2,5,3,7,4,6]=>16
[2,6,1,3,4,7,5]=>[1,2,6,7,5,4,3]=>96
[2,6,1,3,5,7,4]=>[1,2,6,7,4,3,5]=>60
[2,6,1,4,3,7,5]=>[1,2,6,7,5,3,4]=>78
[2,6,1,4,5,3,7]=>[1,2,6,3,4,5,7]=>8
[2,6,1,4,5,7,3]=>[1,2,6,7,3,4,5]=>46
[2,6,1,4,7,3,5]=>[1,2,6,3,4,5,7]=>8
[2,6,1,4,7,5,3]=>[1,2,6,5,7,3,4]=>60
[2,6,1,5,3,7,4]=>[1,2,6,7,4,5,3]=>78
[2,6,1,5,4,3,7]=>[1,2,6,3,4,5,7]=>8
[2,6,1,5,4,7,3]=>[1,2,6,7,3,4,5]=>46
[2,6,1,5,7,3,4]=>[1,2,6,3,4,5,7]=>8
[2,6,1,7,4,3,5]=>[1,2,6,3,4,7,5]=>16
[2,6,1,7,4,5,3]=>[1,2,6,5,4,7,3]=>48
[2,6,1,7,5,3,4]=>[1,2,6,3,4,7,5]=>16
[2,6,1,7,5,4,3]=>[1,2,6,4,7,3,5]=>42
[2,6,3,1,4,7,5]=>[1,2,6,7,5,4,3]=>96
[2,6,3,1,5,7,4]=>[1,2,6,7,4,3,5]=>60
[2,6,3,4,1,7,5]=>[1,2,6,7,5,3,4]=>78
[2,6,3,4,5,1,7]=>[1,2,6,3,4,5,7]=>8
[2,6,3,4,5,7,1]=>[1,2,6,7,3,4,5]=>46
[2,6,3,4,7,1,5]=>[1,2,6,3,4,5,7]=>8
[2,6,3,4,7,5,1]=>[1,2,6,5,7,3,4]=>60
[2,6,3,5,1,7,4]=>[1,2,6,7,4,5,3]=>78
[2,6,3,5,4,1,7]=>[1,2,6,3,4,5,7]=>8
[2,6,3,5,4,7,1]=>[1,2,6,7,3,4,5]=>46
[2,6,3,5,7,1,4]=>[1,2,6,3,4,5,7]=>8
[2,6,3,7,4,1,5]=>[1,2,6,3,4,7,5]=>16
[2,6,3,7,4,5,1]=>[1,2,6,5,4,7,3]=>48
[2,6,3,7,5,1,4]=>[1,2,6,3,4,7,5]=>16
[2,6,3,7,5,4,1]=>[1,2,6,4,7,3,5]=>42
[2,6,4,1,3,7,5]=>[1,2,6,7,5,3,4]=>78
[2,6,4,1,5,3,7]=>[1,2,6,3,4,5,7]=>8
[2,6,4,1,5,7,3]=>[1,2,6,7,3,4,5]=>46
[2,6,4,1,7,3,5]=>[1,2,6,3,4,5,7]=>8
[2,6,4,1,7,5,3]=>[1,2,6,5,7,3,4]=>60
[2,6,4,3,1,7,5]=>[1,2,6,7,5,3,4]=>78
[2,6,4,3,5,1,7]=>[1,2,6,3,4,5,7]=>8
[2,6,4,3,5,7,1]=>[1,2,6,7,3,4,5]=>46
[2,6,4,3,7,1,5]=>[1,2,6,3,4,5,7]=>8
[2,6,4,3,7,5,1]=>[1,2,6,5,7,3,4]=>60
[2,6,4,5,1,3,7]=>[1,2,6,3,4,5,7]=>8
[2,6,4,5,1,7,3]=>[1,2,6,7,3,4,5]=>46
[2,6,4,5,3,1,7]=>[1,2,6,3,4,5,7]=>8
[2,6,4,5,3,7,1]=>[1,2,6,7,3,4,5]=>46
[2,6,4,5,7,1,3]=>[1,2,6,3,4,5,7]=>8
[2,6,4,5,7,3,1]=>[1,2,6,3,4,5,7]=>8
[2,6,4,7,1,3,5]=>[1,2,6,3,4,7,5]=>16
[2,6,4,7,3,1,5]=>[1,2,6,3,4,7,5]=>16
[2,6,4,7,5,1,3]=>[1,2,6,3,4,7,5]=>16
[2,6,4,7,5,3,1]=>[1,2,6,3,4,7,5]=>16
[2,6,5,1,3,7,4]=>[1,2,6,7,4,3,5]=>60
[2,6,5,1,7,3,4]=>[1,2,6,3,5,7,4]=>24
[2,6,5,3,1,7,4]=>[1,2,6,7,4,3,5]=>60
[2,6,5,3,7,1,4]=>[1,2,6,3,5,7,4]=>24
[2,6,5,4,7,1,3]=>[1,2,6,3,5,7,4]=>24
[2,6,5,4,7,3,1]=>[1,2,6,3,5,7,4]=>24
[2,6,5,7,1,4,3]=>[1,2,6,4,7,3,5]=>42
[2,6,5,7,3,4,1]=>[1,2,6,4,7,3,5]=>42
[2,6,7,1,3,4,5]=>[1,2,6,4,3,7,5]=>24
[2,6,7,1,3,5,4]=>[1,2,6,5,3,7,4]=>36
[2,6,7,1,4,3,5]=>[1,2,6,3,7,5,4]=>36
[2,6,7,1,5,3,4]=>[1,2,6,3,7,4,5]=>28
[2,6,7,1,5,4,3]=>[1,2,6,4,3,7,5]=>24
[2,6,7,3,1,4,5]=>[1,2,6,4,3,7,5]=>24
[2,6,7,3,1,5,4]=>[1,2,6,5,3,7,4]=>36
[2,6,7,3,4,1,5]=>[1,2,6,3,7,5,4]=>36
[2,6,7,3,5,1,4]=>[1,2,6,3,7,4,5]=>28
[2,6,7,3,5,4,1]=>[1,2,6,4,3,7,5]=>24
[2,6,7,4,1,3,5]=>[1,2,6,3,7,5,4]=>36
[2,6,7,4,1,5,3]=>[1,2,6,5,3,7,4]=>36
[2,6,7,4,3,1,5]=>[1,2,6,3,7,5,4]=>36
[2,6,7,4,3,5,1]=>[1,2,6,5,3,7,4]=>36
[2,6,7,4,5,1,3]=>[1,2,6,3,7,4,5]=>28
[2,6,7,4,5,3,1]=>[1,2,6,3,7,4,5]=>28
[2,6,7,5,1,3,4]=>[1,2,6,3,7,4,5]=>28
[2,6,7,5,3,1,4]=>[1,2,6,3,7,4,5]=>28
[2,6,7,5,4,1,3]=>[1,2,6,3,7,4,5]=>28
[2,6,7,5,4,3,1]=>[1,2,6,3,7,4,5]=>28
[2,7,1,3,4,5,6]=>[1,2,7,6,5,4,3]=>120
[2,7,1,3,5,4,6]=>[1,2,7,6,4,3,5]=>72
[2,7,1,3,5,6,4]=>[1,2,7,4,3,5,6]=>24
[2,7,1,3,6,4,5]=>[1,2,7,5,6,4,3]=>96
[2,7,1,3,6,5,4]=>[1,2,7,4,3,5,6]=>24
[2,7,1,4,3,5,6]=>[1,2,7,6,5,3,4]=>96
[2,7,1,4,3,6,5]=>[1,2,7,5,3,4,6]=>36
[2,7,1,4,5,3,6]=>[1,2,7,6,3,4,5]=>54
[2,7,1,4,5,6,3]=>[1,2,7,3,4,5,6]=>16
[2,7,1,4,6,3,5]=>[1,2,7,5,6,3,4]=>78
[2,7,1,4,6,5,3]=>[1,2,7,3,4,5,6]=>16
[2,7,1,5,3,4,6]=>[1,2,7,6,4,5,3]=>96
[2,7,1,5,3,6,4]=>[1,2,7,4,5,3,6]=>36
[2,7,1,5,4,3,6]=>[1,2,7,6,3,4,5]=>54
[2,7,1,5,4,6,3]=>[1,2,7,3,4,5,6]=>16
[2,7,1,5,6,3,4]=>[1,2,7,4,5,6,3]=>54
[2,7,1,5,6,4,3]=>[1,2,7,3,4,5,6]=>16
[2,7,1,6,3,4,5]=>[1,2,7,5,3,4,6]=>36
[2,7,1,6,4,5,3]=>[1,2,7,3,4,6,5]=>24
[2,7,1,6,5,4,3]=>[1,2,7,3,4,6,5]=>24
[2,7,3,1,4,5,6]=>[1,2,7,6,5,4,3]=>120
[2,7,3,1,5,4,6]=>[1,2,7,6,4,3,5]=>72
[2,7,3,1,5,6,4]=>[1,2,7,4,3,5,6]=>24
[2,7,3,1,6,4,5]=>[1,2,7,5,6,4,3]=>96
[2,7,3,1,6,5,4]=>[1,2,7,4,3,5,6]=>24
[2,7,3,4,1,5,6]=>[1,2,7,6,5,3,4]=>96
[2,7,3,4,1,6,5]=>[1,2,7,5,3,4,6]=>36
[2,7,3,4,5,1,6]=>[1,2,7,6,3,4,5]=>54
[2,7,3,4,5,6,1]=>[1,2,7,3,4,5,6]=>16
[2,7,3,4,6,1,5]=>[1,2,7,5,6,3,4]=>78
[2,7,3,4,6,5,1]=>[1,2,7,3,4,5,6]=>16
[2,7,3,5,1,4,6]=>[1,2,7,6,4,5,3]=>96
[2,7,3,5,1,6,4]=>[1,2,7,4,5,3,6]=>36
[2,7,3,5,4,1,6]=>[1,2,7,6,3,4,5]=>54
[2,7,3,5,4,6,1]=>[1,2,7,3,4,5,6]=>16
[2,7,3,5,6,1,4]=>[1,2,7,4,5,6,3]=>54
[2,7,3,5,6,4,1]=>[1,2,7,3,4,5,6]=>16
[2,7,3,6,1,4,5]=>[1,2,7,5,3,4,6]=>36
[2,7,3,6,4,5,1]=>[1,2,7,3,4,6,5]=>24
[2,7,3,6,5,4,1]=>[1,2,7,3,4,6,5]=>24
[2,7,4,1,3,5,6]=>[1,2,7,6,5,3,4]=>96
[2,7,4,1,3,6,5]=>[1,2,7,5,3,4,6]=>36
[2,7,4,1,5,3,6]=>[1,2,7,6,3,4,5]=>54
[2,7,4,1,5,6,3]=>[1,2,7,3,4,5,6]=>16
[2,7,4,1,6,3,5]=>[1,2,7,5,6,3,4]=>78
[2,7,4,1,6,5,3]=>[1,2,7,3,4,5,6]=>16
[2,7,4,3,1,5,6]=>[1,2,7,6,5,3,4]=>96
[2,7,4,3,1,6,5]=>[1,2,7,5,3,4,6]=>36
[2,7,4,3,5,1,6]=>[1,2,7,6,3,4,5]=>54
[2,7,4,3,5,6,1]=>[1,2,7,3,4,5,6]=>16
[2,7,4,3,6,1,5]=>[1,2,7,5,6,3,4]=>78
[2,7,4,3,6,5,1]=>[1,2,7,3,4,5,6]=>16
[2,7,4,5,1,3,6]=>[1,2,7,6,3,4,5]=>54
[2,7,4,5,1,6,3]=>[1,2,7,3,4,5,6]=>16
[2,7,4,5,3,1,6]=>[1,2,7,6,3,4,5]=>54
[2,7,4,5,3,6,1]=>[1,2,7,3,4,5,6]=>16
[2,7,4,5,6,1,3]=>[1,2,7,3,4,5,6]=>16
[2,7,4,5,6,3,1]=>[1,2,7,3,4,5,6]=>16
[2,7,4,6,1,3,5]=>[1,2,7,5,3,4,6]=>36
[2,7,4,6,1,5,3]=>[1,2,7,3,4,6,5]=>24
[2,7,4,6,3,1,5]=>[1,2,7,5,3,4,6]=>36
[2,7,4,6,3,5,1]=>[1,2,7,3,4,6,5]=>24
[2,7,4,6,5,1,3]=>[1,2,7,3,4,6,5]=>24
[2,7,4,6,5,3,1]=>[1,2,7,3,4,6,5]=>24
[2,7,5,1,3,4,6]=>[1,2,7,6,4,3,5]=>72
[2,7,5,1,3,6,4]=>[1,2,7,4,3,5,6]=>24
[2,7,5,1,4,3,6]=>[1,2,7,6,3,5,4]=>72
[2,7,5,1,4,6,3]=>[1,2,7,3,5,4,6]=>24
[2,7,5,1,6,3,4]=>[1,2,7,4,3,5,6]=>24
[2,7,5,1,6,4,3]=>[1,2,7,3,5,6,4]=>36
[2,7,5,3,1,4,6]=>[1,2,7,6,4,3,5]=>72
[2,7,5,3,1,6,4]=>[1,2,7,4,3,5,6]=>24
[2,7,5,3,4,1,6]=>[1,2,7,6,3,5,4]=>72
[2,7,5,3,4,6,1]=>[1,2,7,3,5,4,6]=>24
[2,7,5,3,6,1,4]=>[1,2,7,4,3,5,6]=>24
[2,7,5,3,6,4,1]=>[1,2,7,3,5,6,4]=>36
[2,7,5,4,1,3,6]=>[1,2,7,6,3,5,4]=>72
[2,7,5,4,1,6,3]=>[1,2,7,3,5,4,6]=>24
[2,7,5,4,3,1,6]=>[1,2,7,6,3,5,4]=>72
[2,7,5,4,3,6,1]=>[1,2,7,3,5,4,6]=>24
[2,7,5,4,6,1,3]=>[1,2,7,3,5,6,4]=>36
[2,7,5,4,6,3,1]=>[1,2,7,3,5,6,4]=>36
[2,7,5,6,1,4,3]=>[1,2,7,3,5,4,6]=>24
[2,7,5,6,3,4,1]=>[1,2,7,3,5,4,6]=>24
[2,7,5,6,4,1,3]=>[1,2,7,3,5,4,6]=>24
[2,7,5,6,4,3,1]=>[1,2,7,3,5,4,6]=>24
[2,7,6,1,3,5,4]=>[1,2,7,4,3,6,5]=>36
[2,7,6,1,4,5,3]=>[1,2,7,3,6,5,4]=>48
[2,7,6,1,5,3,4]=>[1,2,7,4,3,6,5]=>36
[2,7,6,3,1,5,4]=>[1,2,7,4,3,6,5]=>36
[2,7,6,3,4,5,1]=>[1,2,7,3,6,5,4]=>48
[2,7,6,3,5,1,4]=>[1,2,7,4,3,6,5]=>36
[2,7,6,4,1,5,3]=>[1,2,7,3,6,5,4]=>48
[2,7,6,4,3,5,1]=>[1,2,7,3,6,5,4]=>48
[2,7,6,5,1,3,4]=>[1,2,7,4,5,3,6]=>36
[2,7,6,5,3,1,4]=>[1,2,7,4,5,3,6]=>36
[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
[3,1,2,4,7,5,6]=>[1,3,2,4,5,7,6]=>4
[3,1,2,4,7,6,5]=>[1,3,2,4,5,7,6]=>4
[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
[3,1,2,5,7,4,6]=>[1,3,2,4,5,7,6]=>4
[3,1,2,5,7,6,4]=>[1,3,2,4,5,7,6]=>4
[3,1,2,6,4,5,7]=>[1,3,2,4,6,5,7]=>4
[3,1,2,6,4,7,5]=>[1,3,2,4,6,7,5]=>8
[3,1,2,6,5,4,7]=>[1,3,2,4,6,5,7]=>4
[3,1,2,6,5,7,4]=>[1,3,2,4,6,7,5]=>8
[3,1,2,6,7,4,5]=>[1,3,2,4,6,5,7]=>4
[3,1,2,6,7,5,4]=>[1,3,2,4,6,5,7]=>4
[3,1,2,7,4,5,6]=>[1,3,2,4,7,6,5]=>12
[3,1,2,7,4,6,5]=>[1,3,2,4,7,5,6]=>8
[3,1,2,7,5,4,6]=>[1,3,2,4,7,6,5]=>12
[3,1,2,7,5,6,4]=>[1,3,2,4,7,5,6]=>8
[3,1,2,7,6,4,5]=>[1,3,2,4,7,5,6]=>8
[3,1,2,7,6,5,4]=>[1,3,2,4,7,5,6]=>8
[3,1,4,2,5,6,7]=>[1,3,4,2,5,6,7]=>4
[3,1,4,2,5,7,6]=>[1,3,4,2,5,6,7]=>4
[3,1,4,2,6,5,7]=>[1,3,4,2,5,6,7]=>4
[3,1,4,2,6,7,5]=>[1,3,4,2,5,6,7]=>4
[3,1,4,2,7,5,6]=>[1,3,4,2,5,7,6]=>8
[3,1,4,2,7,6,5]=>[1,3,4,2,5,7,6]=>8
[3,1,4,5,2,6,7]=>[1,3,4,5,2,6,7]=>8
[3,1,4,5,2,7,6]=>[1,3,4,5,2,6,7]=>8
[3,1,4,5,6,2,7]=>[1,3,4,5,6,2,7]=>16
[3,1,4,5,6,7,2]=>[1,3,4,5,6,7,2]=>32
[3,1,4,5,7,2,6]=>[1,3,4,5,7,6,2]=>48
[3,1,4,5,7,6,2]=>[1,3,4,5,7,2,6]=>32
[3,1,4,6,2,7,5]=>[1,3,4,6,7,5,2]=>72
[3,1,4,6,5,2,7]=>[1,3,4,6,2,5,7]=>16
[3,1,4,6,5,7,2]=>[1,3,4,6,7,2,5]=>56
[3,1,4,6,7,2,5]=>[1,3,4,6,2,5,7]=>16
[3,1,4,7,2,5,6]=>[1,3,4,7,6,5,2]=>96
[3,1,4,7,5,6,2]=>[1,3,4,7,2,5,6]=>32
[3,1,4,7,6,2,5]=>[1,3,4,7,5,6,2]=>72
[3,1,4,7,6,5,2]=>[1,3,4,7,2,5,6]=>32
[3,1,5,2,6,7,4]=>[1,3,5,6,7,4,2]=>108
[3,1,5,2,7,4,6]=>[1,3,5,7,6,4,2]=>144
[3,1,5,4,2,6,7]=>[1,3,5,2,4,6,7]=>8
[3,1,5,4,2,7,6]=>[1,3,5,2,4,6,7]=>8
[3,1,5,4,6,2,7]=>[1,3,5,6,2,4,7]=>28
[3,1,5,4,6,7,2]=>[1,3,5,6,7,2,4]=>92
[3,1,5,4,7,6,2]=>[1,3,5,7,2,4,6]=>56
[3,1,5,6,2,4,7]=>[1,3,5,2,4,6,7]=>8
[3,1,5,6,2,7,4]=>[1,3,5,2,4,6,7]=>8
[3,1,5,6,7,4,2]=>[1,3,5,7,2,4,6]=>56
[3,1,5,7,2,4,6]=>[1,3,5,2,4,7,6]=>16
[3,1,5,7,2,6,4]=>[1,3,5,2,4,7,6]=>16
[3,1,5,7,6,2,4]=>[1,3,5,6,2,4,7]=>28
[3,1,6,2,4,7,5]=>[1,3,6,7,5,4,2]=>192
[3,1,6,4,5,2,7]=>[1,3,6,2,4,5,7]=>16
[3,1,6,4,5,7,2]=>[1,3,6,7,2,4,5]=>92
[3,1,6,4,7,2,5]=>[1,3,6,2,4,5,7]=>16
[3,1,6,5,2,7,4]=>[1,3,6,7,4,5,2]=>156
[3,1,6,5,4,2,7]=>[1,3,6,2,4,5,7]=>16
[3,1,6,5,4,7,2]=>[1,3,6,7,2,4,5]=>92
[3,1,6,5,7,2,4]=>[1,3,6,2,4,5,7]=>16
[3,1,6,5,7,4,2]=>[1,3,6,4,5,7,2]=>72
[3,1,6,7,4,2,5]=>[1,3,6,2,4,7,5]=>32
[3,1,6,7,5,2,4]=>[1,3,6,2,4,7,5]=>32
[3,1,7,2,4,5,6]=>[1,3,7,6,5,4,2]=>240
[3,1,7,2,6,4,5]=>[1,3,7,5,6,4,2]=>192
[3,1,7,4,2,6,5]=>[1,3,7,5,2,4,6]=>72
[3,1,7,4,5,6,2]=>[1,3,7,2,4,5,6]=>32
[3,1,7,4,6,5,2]=>[1,3,7,2,4,5,6]=>32
[3,1,7,5,2,4,6]=>[1,3,7,6,4,5,2]=>192
[3,1,7,5,4,6,2]=>[1,3,7,2,4,5,6]=>32
[3,1,7,5,6,2,4]=>[1,3,7,4,5,6,2]=>108
[3,1,7,5,6,4,2]=>[1,3,7,2,4,5,6]=>32
[3,1,7,6,2,4,5]=>[1,3,7,5,2,4,6]=>72
[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
[3,2,1,4,7,5,6]=>[1,3,2,4,5,7,6]=>4
[3,2,1,4,7,6,5]=>[1,3,2,4,5,7,6]=>4
[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
[3,2,1,5,7,4,6]=>[1,3,2,4,5,7,6]=>4
[3,2,1,5,7,6,4]=>[1,3,2,4,5,7,6]=>4
[3,2,1,6,4,5,7]=>[1,3,2,4,6,5,7]=>4
[3,2,1,6,4,7,5]=>[1,3,2,4,6,7,5]=>8
[3,2,1,6,5,4,7]=>[1,3,2,4,6,5,7]=>4
[3,2,1,6,5,7,4]=>[1,3,2,4,6,7,5]=>8
[3,2,1,6,7,4,5]=>[1,3,2,4,6,5,7]=>4
[3,2,1,6,7,5,4]=>[1,3,2,4,6,5,7]=>4
[3,2,1,7,4,5,6]=>[1,3,2,4,7,6,5]=>12
[3,2,1,7,4,6,5]=>[1,3,2,4,7,5,6]=>8
[3,2,1,7,5,4,6]=>[1,3,2,4,7,6,5]=>12
[3,2,1,7,5,6,4]=>[1,3,2,4,7,5,6]=>8
[3,2,1,7,6,4,5]=>[1,3,2,4,7,5,6]=>8
[3,2,1,7,6,5,4]=>[1,3,2,4,7,5,6]=>8
[3,2,4,1,5,6,7]=>[1,3,4,2,5,6,7]=>4
[3,2,4,1,5,7,6]=>[1,3,4,2,5,6,7]=>4
[3,2,4,1,6,5,7]=>[1,3,4,2,5,6,7]=>4
[3,2,4,1,6,7,5]=>[1,3,4,2,5,6,7]=>4
[3,2,4,1,7,5,6]=>[1,3,4,2,5,7,6]=>8
[3,2,4,1,7,6,5]=>[1,3,4,2,5,7,6]=>8
[3,2,4,5,1,6,7]=>[1,3,4,5,2,6,7]=>8
[3,2,4,5,1,7,6]=>[1,3,4,5,2,6,7]=>8
[3,2,4,5,6,1,7]=>[1,3,4,5,6,2,7]=>16
[3,2,4,5,6,7,1]=>[1,3,4,5,6,7,2]=>32
[3,2,4,5,7,1,6]=>[1,3,4,5,7,6,2]=>48
[3,2,4,5,7,6,1]=>[1,3,4,5,7,2,6]=>32
[3,2,4,6,1,7,5]=>[1,3,4,6,7,5,2]=>72
[3,2,4,6,5,1,7]=>[1,3,4,6,2,5,7]=>16
[3,2,4,6,5,7,1]=>[1,3,4,6,7,2,5]=>56
[3,2,4,6,7,1,5]=>[1,3,4,6,2,5,7]=>16
[3,2,4,7,1,5,6]=>[1,3,4,7,6,5,2]=>96
[3,2,4,7,5,6,1]=>[1,3,4,7,2,5,6]=>32
[3,2,4,7,6,1,5]=>[1,3,4,7,5,6,2]=>72
[3,2,4,7,6,5,1]=>[1,3,4,7,2,5,6]=>32
[3,2,5,1,6,7,4]=>[1,3,5,6,7,4,2]=>108
[3,2,5,1,7,4,6]=>[1,3,5,7,6,4,2]=>144
[3,2,5,4,1,6,7]=>[1,3,5,2,4,6,7]=>8
[3,2,5,4,1,7,6]=>[1,3,5,2,4,6,7]=>8
[3,2,5,4,6,1,7]=>[1,3,5,6,2,4,7]=>28
[3,2,5,4,6,7,1]=>[1,3,5,6,7,2,4]=>92
[3,2,5,4,7,6,1]=>[1,3,5,7,2,4,6]=>56
[3,2,5,6,1,4,7]=>[1,3,5,2,4,6,7]=>8
[3,2,5,6,1,7,4]=>[1,3,5,2,4,6,7]=>8
[3,2,5,6,7,4,1]=>[1,3,5,7,2,4,6]=>56
[3,2,5,7,1,4,6]=>[1,3,5,2,4,7,6]=>16
[3,2,5,7,1,6,4]=>[1,3,5,2,4,7,6]=>16
[3,2,5,7,6,1,4]=>[1,3,5,6,2,4,7]=>28
[3,2,6,1,4,7,5]=>[1,3,6,7,5,4,2]=>192
[3,2,6,4,5,1,7]=>[1,3,6,2,4,5,7]=>16
[3,2,6,4,5,7,1]=>[1,3,6,7,2,4,5]=>92
[3,2,6,4,7,1,5]=>[1,3,6,2,4,5,7]=>16
[3,2,6,5,1,7,4]=>[1,3,6,7,4,5,2]=>156
[3,2,6,5,4,1,7]=>[1,3,6,2,4,5,7]=>16
[3,2,6,5,4,7,1]=>[1,3,6,7,2,4,5]=>92
[3,2,6,5,7,1,4]=>[1,3,6,2,4,5,7]=>16
[3,2,6,5,7,4,1]=>[1,3,6,4,5,7,2]=>72
[3,2,6,7,4,1,5]=>[1,3,6,2,4,7,5]=>32
[3,2,6,7,5,1,4]=>[1,3,6,2,4,7,5]=>32
[3,2,7,1,4,5,6]=>[1,3,7,6,5,4,2]=>240
[3,2,7,1,6,4,5]=>[1,3,7,5,6,4,2]=>192
[3,2,7,4,1,6,5]=>[1,3,7,5,2,4,6]=>72
[3,2,7,4,5,6,1]=>[1,3,7,2,4,5,6]=>32
[3,2,7,4,6,5,1]=>[1,3,7,2,4,5,6]=>32
[3,2,7,5,1,4,6]=>[1,3,7,6,4,5,2]=>192
[3,2,7,5,4,6,1]=>[1,3,7,2,4,5,6]=>32
[3,2,7,5,6,1,4]=>[1,3,7,4,5,6,2]=>108
[3,2,7,5,6,4,1]=>[1,3,7,2,4,5,6]=>32
[3,2,7,6,1,4,5]=>[1,3,7,5,2,4,6]=>72
[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
[3,4,1,2,7,5,6]=>[1,3,2,4,5,7,6]=>4
[3,4,1,2,7,6,5]=>[1,3,2,4,5,7,6]=>4
[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
[3,4,1,5,7,2,6]=>[1,3,2,4,5,7,6]=>4
[3,4,1,5,7,6,2]=>[1,3,2,4,5,7,6]=>4
[3,4,1,6,2,5,7]=>[1,3,2,4,6,5,7]=>4
[3,4,1,6,2,7,5]=>[1,3,2,4,6,7,5]=>8
[3,4,1,6,5,2,7]=>[1,3,2,4,6,5,7]=>4
[3,4,1,6,5,7,2]=>[1,3,2,4,6,7,5]=>8
[3,4,1,6,7,2,5]=>[1,3,2,4,6,5,7]=>4
[3,4,1,6,7,5,2]=>[1,3,2,4,6,5,7]=>4
[3,4,1,7,2,5,6]=>[1,3,2,4,7,6,5]=>12
[3,4,1,7,2,6,5]=>[1,3,2,4,7,5,6]=>8
[3,4,1,7,5,2,6]=>[1,3,2,4,7,6,5]=>12
[3,4,1,7,5,6,2]=>[1,3,2,4,7,5,6]=>8
[3,4,1,7,6,2,5]=>[1,3,2,4,7,5,6]=>8
[3,4,1,7,6,5,2]=>[1,3,2,4,7,5,6]=>8
[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
[3,4,2,1,7,5,6]=>[1,3,2,4,5,7,6]=>4
[3,4,2,1,7,6,5]=>[1,3,2,4,5,7,6]=>4
[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
[3,4,2,5,7,1,6]=>[1,3,2,4,5,7,6]=>4
[3,4,2,5,7,6,1]=>[1,3,2,4,5,7,6]=>4
[3,4,2,6,1,5,7]=>[1,3,2,4,6,5,7]=>4
[3,4,2,6,1,7,5]=>[1,3,2,4,6,7,5]=>8
[3,4,2,6,5,1,7]=>[1,3,2,4,6,5,7]=>4
[3,4,2,6,5,7,1]=>[1,3,2,4,6,7,5]=>8
[3,4,2,6,7,1,5]=>[1,3,2,4,6,5,7]=>4
[3,4,2,6,7,5,1]=>[1,3,2,4,6,5,7]=>4
[3,4,2,7,1,5,6]=>[1,3,2,4,7,6,5]=>12
[3,4,2,7,1,6,5]=>[1,3,2,4,7,5,6]=>8
[3,4,2,7,5,1,6]=>[1,3,2,4,7,6,5]=>12
[3,4,2,7,5,6,1]=>[1,3,2,4,7,5,6]=>8
[3,4,2,7,6,1,5]=>[1,3,2,4,7,5,6]=>8
[3,4,2,7,6,5,1]=>[1,3,2,4,7,5,6]=>8
[3,4,5,1,2,6,7]=>[1,3,5,2,4,6,7]=>8
[3,4,5,1,2,7,6]=>[1,3,5,2,4,6,7]=>8
[3,4,5,1,6,2,7]=>[1,3,5,6,2,4,7]=>28
[3,4,5,1,6,7,2]=>[1,3,5,6,7,2,4]=>92
[3,4,5,1,7,6,2]=>[1,3,5,7,2,4,6]=>56
[3,4,5,2,1,6,7]=>[1,3,5,2,4,6,7]=>8
[3,4,5,2,1,7,6]=>[1,3,5,2,4,6,7]=>8
[3,4,5,2,6,1,7]=>[1,3,5,6,2,4,7]=>28
[3,4,5,2,6,7,1]=>[1,3,5,6,7,2,4]=>92
[3,4,5,2,7,6,1]=>[1,3,5,7,2,4,6]=>56
[3,4,5,6,1,2,7]=>[1,3,5,2,4,6,7]=>8
[3,4,5,6,1,7,2]=>[1,3,5,2,4,6,7]=>8
[3,4,5,6,2,1,7]=>[1,3,5,2,4,6,7]=>8
[3,4,5,6,2,7,1]=>[1,3,5,2,4,6,7]=>8
[3,4,5,6,7,1,2]=>[1,3,5,7,2,4,6]=>56
[3,4,5,6,7,2,1]=>[1,3,5,7,2,4,6]=>56
[3,4,5,7,1,2,6]=>[1,3,5,2,4,7,6]=>16
[3,4,5,7,1,6,2]=>[1,3,5,2,4,7,6]=>16
[3,4,5,7,2,1,6]=>[1,3,5,2,4,7,6]=>16
[3,4,5,7,2,6,1]=>[1,3,5,2,4,7,6]=>16
[3,4,5,7,6,1,2]=>[1,3,5,6,2,4,7]=>28
[3,4,5,7,6,2,1]=>[1,3,5,6,2,4,7]=>28
[3,4,6,1,5,2,7]=>[1,3,6,2,4,5,7]=>16
[3,4,6,1,5,7,2]=>[1,3,6,7,2,4,5]=>92
[3,4,6,1,7,2,5]=>[1,3,6,2,4,5,7]=>16
[3,4,6,2,5,1,7]=>[1,3,6,2,4,5,7]=>16
[3,4,6,2,5,7,1]=>[1,3,6,7,2,4,5]=>92
[3,4,6,2,7,1,5]=>[1,3,6,2,4,5,7]=>16
[3,4,6,5,1,2,7]=>[1,3,6,2,4,5,7]=>16
[3,4,6,5,1,7,2]=>[1,3,6,7,2,4,5]=>92
[3,4,6,5,2,1,7]=>[1,3,6,2,4,5,7]=>16
[3,4,6,5,2,7,1]=>[1,3,6,7,2,4,5]=>92
[3,4,6,5,7,1,2]=>[1,3,6,2,4,5,7]=>16
[3,4,6,5,7,2,1]=>[1,3,6,2,4,5,7]=>16
[3,4,6,7,1,2,5]=>[1,3,6,2,4,7,5]=>32
[3,4,6,7,2,1,5]=>[1,3,6,2,4,7,5]=>32
[3,4,6,7,5,1,2]=>[1,3,6,2,4,7,5]=>32
[3,4,6,7,5,2,1]=>[1,3,6,2,4,7,5]=>32
[3,4,7,1,2,6,5]=>[1,3,7,5,2,4,6]=>72
[3,4,7,1,5,6,2]=>[1,3,7,2,4,5,6]=>32
[3,4,7,1,6,5,2]=>[1,3,7,2,4,5,6]=>32
[3,4,7,2,1,6,5]=>[1,3,7,5,2,4,6]=>72
[3,4,7,2,5,6,1]=>[1,3,7,2,4,5,6]=>32
[3,4,7,2,6,5,1]=>[1,3,7,2,4,5,6]=>32
[3,4,7,5,1,6,2]=>[1,3,7,2,4,5,6]=>32
[3,4,7,5,2,6,1]=>[1,3,7,2,4,5,6]=>32
[3,4,7,5,6,1,2]=>[1,3,7,2,4,5,6]=>32
[3,4,7,5,6,2,1]=>[1,3,7,2,4,5,6]=>32
[3,4,7,6,1,2,5]=>[1,3,7,5,2,4,6]=>72
[3,4,7,6,2,1,5]=>[1,3,7,5,2,4,6]=>72
[3,5,1,2,4,6,7]=>[1,3,2,5,4,6,7]=>4
[3,5,1,2,4,7,6]=>[1,3,2,5,4,6,7]=>4
[3,5,1,2,6,4,7]=>[1,3,2,5,6,4,7]=>8
[3,5,1,2,6,7,4]=>[1,3,2,5,6,7,4]=>16
[3,5,1,2,7,6,4]=>[1,3,2,5,7,4,6]=>16
[3,5,1,4,2,6,7]=>[1,3,2,5,4,6,7]=>4
[3,5,1,4,2,7,6]=>[1,3,2,5,4,6,7]=>4
[3,5,1,4,6,2,7]=>[1,3,2,5,6,4,7]=>8
[3,5,1,4,6,7,2]=>[1,3,2,5,6,7,4]=>16
[3,5,1,4,7,6,2]=>[1,3,2,5,7,4,6]=>16
[3,5,1,6,2,4,7]=>[1,3,2,5,4,6,7]=>4
[3,5,1,6,2,7,4]=>[1,3,2,5,4,6,7]=>4
[3,5,1,6,4,2,7]=>[1,3,2,5,4,6,7]=>4
[3,5,1,6,4,7,2]=>[1,3,2,5,4,6,7]=>4
[3,5,1,6,7,2,4]=>[1,3,2,5,7,4,6]=>16
[3,5,1,6,7,4,2]=>[1,3,2,5,7,4,6]=>16
[3,5,1,7,2,4,6]=>[1,3,2,5,4,7,6]=>8
[3,5,1,7,2,6,4]=>[1,3,2,5,4,7,6]=>8
[3,5,1,7,4,2,6]=>[1,3,2,5,4,7,6]=>8
[3,5,1,7,4,6,2]=>[1,3,2,5,4,7,6]=>8
[3,5,1,7,6,2,4]=>[1,3,2,5,6,4,7]=>8
[3,5,1,7,6,4,2]=>[1,3,2,5,6,4,7]=>8
[3,5,2,1,4,6,7]=>[1,3,2,5,4,6,7]=>4
[3,5,2,1,4,7,6]=>[1,3,2,5,4,6,7]=>4
[3,5,2,1,6,4,7]=>[1,3,2,5,6,4,7]=>8
[3,5,2,1,6,7,4]=>[1,3,2,5,6,7,4]=>16
[3,5,2,1,7,6,4]=>[1,3,2,5,7,4,6]=>16
[3,5,2,4,1,6,7]=>[1,3,2,5,4,6,7]=>4
[3,5,2,4,1,7,6]=>[1,3,2,5,4,6,7]=>4
[3,5,2,4,6,1,7]=>[1,3,2,5,6,4,7]=>8
[3,5,2,4,6,7,1]=>[1,3,2,5,6,7,4]=>16
[3,5,2,4,7,6,1]=>[1,3,2,5,7,4,6]=>16
[3,5,2,6,1,4,7]=>[1,3,2,5,4,6,7]=>4
[3,5,2,6,1,7,4]=>[1,3,2,5,4,6,7]=>4
[3,5,2,6,4,1,7]=>[1,3,2,5,4,6,7]=>4
[3,5,2,6,4,7,1]=>[1,3,2,5,4,6,7]=>4
[3,5,2,6,7,1,4]=>[1,3,2,5,7,4,6]=>16
[3,5,2,6,7,4,1]=>[1,3,2,5,7,4,6]=>16
[3,5,2,7,1,4,6]=>[1,3,2,5,4,7,6]=>8
[3,5,2,7,1,6,4]=>[1,3,2,5,4,7,6]=>8
[3,5,2,7,4,1,6]=>[1,3,2,5,4,7,6]=>8
[3,5,2,7,4,6,1]=>[1,3,2,5,4,7,6]=>8
[3,5,2,7,6,1,4]=>[1,3,2,5,6,4,7]=>8
[3,5,2,7,6,4,1]=>[1,3,2,5,6,4,7]=>8
[3,5,4,1,2,6,7]=>[1,3,4,2,5,6,7]=>4
[3,5,4,1,2,7,6]=>[1,3,4,2,5,6,7]=>4
[3,5,4,1,6,2,7]=>[1,3,4,2,5,6,7]=>4
[3,5,4,1,6,7,2]=>[1,3,4,2,5,6,7]=>4
[3,5,4,1,7,2,6]=>[1,3,4,2,5,7,6]=>8
[3,5,4,1,7,6,2]=>[1,3,4,2,5,7,6]=>8
[3,5,4,2,1,6,7]=>[1,3,4,2,5,6,7]=>4
[3,5,4,2,1,7,6]=>[1,3,4,2,5,6,7]=>4
[3,5,4,2,6,1,7]=>[1,3,4,2,5,6,7]=>4
[3,5,4,2,6,7,1]=>[1,3,4,2,5,6,7]=>4
[3,5,4,2,7,1,6]=>[1,3,4,2,5,7,6]=>8
[3,5,4,2,7,6,1]=>[1,3,4,2,5,7,6]=>8
[3,5,4,6,1,2,7]=>[1,3,4,6,2,5,7]=>16
[3,5,4,6,1,7,2]=>[1,3,4,6,7,2,5]=>56
[3,5,4,6,2,1,7]=>[1,3,4,6,2,5,7]=>16
[3,5,4,6,2,7,1]=>[1,3,4,6,7,2,5]=>56
[3,5,4,6,7,1,2]=>[1,3,4,6,2,5,7]=>16
[3,5,4,6,7,2,1]=>[1,3,4,6,2,5,7]=>16
[3,5,4,7,1,6,2]=>[1,3,4,7,2,5,6]=>32
[3,5,4,7,2,6,1]=>[1,3,4,7,2,5,6]=>32
[3,5,4,7,6,1,2]=>[1,3,4,7,2,5,6]=>32
[3,5,4,7,6,2,1]=>[1,3,4,7,2,5,6]=>32
[3,5,6,1,4,7,2]=>[1,3,6,7,2,5,4]=>120
[3,5,6,1,7,2,4]=>[1,3,6,2,5,7,4]=>48
[3,5,6,2,4,7,1]=>[1,3,6,7,2,5,4]=>120
[3,5,6,2,7,1,4]=>[1,3,6,2,5,7,4]=>48
[3,5,6,4,1,7,2]=>[1,3,6,7,2,5,4]=>120
[3,5,6,4,2,7,1]=>[1,3,6,7,2,5,4]=>120
[3,5,6,4,7,1,2]=>[1,3,6,2,5,7,4]=>48
[3,5,6,4,7,2,1]=>[1,3,6,2,5,7,4]=>48
[3,5,7,1,4,2,6]=>[1,3,7,6,2,5,4]=>144
[3,5,7,2,4,1,6]=>[1,3,7,6,2,5,4]=>144
[3,5,7,4,1,2,6]=>[1,3,7,6,2,5,4]=>144
[3,5,7,4,2,1,6]=>[1,3,7,6,2,5,4]=>144
[3,6,1,2,5,4,7]=>[1,3,2,6,4,5,7]=>8
[3,6,1,2,5,7,4]=>[1,3,2,6,7,4,5]=>28
[3,6,1,2,7,4,5]=>[1,3,2,6,4,5,7]=>8
[3,6,1,4,5,2,7]=>[1,3,2,6,4,5,7]=>8
[3,6,1,4,5,7,2]=>[1,3,2,6,7,4,5]=>28
[3,6,1,4,7,2,5]=>[1,3,2,6,4,5,7]=>8
[3,6,1,5,2,4,7]=>[1,3,2,6,4,5,7]=>8
[3,6,1,5,2,7,4]=>[1,3,2,6,7,4,5]=>28
[3,6,1,5,4,2,7]=>[1,3,2,6,4,5,7]=>8
[3,6,1,5,4,7,2]=>[1,3,2,6,7,4,5]=>28
[3,6,1,5,7,2,4]=>[1,3,2,6,4,5,7]=>8
[3,6,1,5,7,4,2]=>[1,3,2,6,4,5,7]=>8
[3,6,1,7,2,4,5]=>[1,3,2,6,4,7,5]=>16
[3,6,1,7,4,2,5]=>[1,3,2,6,4,7,5]=>16
[3,6,1,7,5,2,4]=>[1,3,2,6,4,7,5]=>16
[3,6,1,7,5,4,2]=>[1,3,2,6,4,7,5]=>16
[3,6,2,1,5,4,7]=>[1,3,2,6,4,5,7]=>8
[3,6,2,1,5,7,4]=>[1,3,2,6,7,4,5]=>28
[3,6,2,1,7,4,5]=>[1,3,2,6,4,5,7]=>8
[3,6,2,4,5,1,7]=>[1,3,2,6,4,5,7]=>8
[3,6,2,4,5,7,1]=>[1,3,2,6,7,4,5]=>28
[3,6,2,4,7,1,5]=>[1,3,2,6,4,5,7]=>8
[3,6,2,5,1,4,7]=>[1,3,2,6,4,5,7]=>8
[3,6,2,5,1,7,4]=>[1,3,2,6,7,4,5]=>28
[3,6,2,5,4,1,7]=>[1,3,2,6,4,5,7]=>8
[3,6,2,5,4,7,1]=>[1,3,2,6,7,4,5]=>28
[3,6,2,5,7,1,4]=>[1,3,2,6,4,5,7]=>8
[3,6,2,5,7,4,1]=>[1,3,2,6,4,5,7]=>8
[3,6,2,7,1,4,5]=>[1,3,2,6,4,7,5]=>16
[3,6,2,7,4,1,5]=>[1,3,2,6,4,7,5]=>16
[3,6,2,7,5,1,4]=>[1,3,2,6,4,7,5]=>16
[3,6,2,7,5,4,1]=>[1,3,2,6,4,7,5]=>16
[3,6,4,1,2,5,7]=>[1,3,4,2,6,5,7]=>8
[3,6,4,1,2,7,5]=>[1,3,4,2,6,7,5]=>16
[3,6,4,1,5,2,7]=>[1,3,4,2,6,5,7]=>8
[3,6,4,1,5,7,2]=>[1,3,4,2,6,7,5]=>16
[3,6,4,1,7,2,5]=>[1,3,4,2,6,5,7]=>8
[3,6,4,1,7,5,2]=>[1,3,4,2,6,5,7]=>8
[3,6,4,2,1,5,7]=>[1,3,4,2,6,5,7]=>8
[3,6,4,2,1,7,5]=>[1,3,4,2,6,7,5]=>16
[3,6,4,2,5,1,7]=>[1,3,4,2,6,5,7]=>8
[3,6,4,2,5,7,1]=>[1,3,4,2,6,7,5]=>16
[3,6,4,2,7,1,5]=>[1,3,4,2,6,5,7]=>8
[3,6,4,2,7,5,1]=>[1,3,4,2,6,5,7]=>8
[3,6,4,5,1,2,7]=>[1,3,4,5,2,6,7]=>8
[3,6,4,5,1,7,2]=>[1,3,4,5,2,6,7]=>8
[3,6,4,5,2,1,7]=>[1,3,4,5,2,6,7]=>8
[3,6,4,5,2,7,1]=>[1,3,4,5,2,6,7]=>8
[3,6,4,5,7,1,2]=>[1,3,4,5,7,2,6]=>32
[3,6,4,5,7,2,1]=>[1,3,4,5,7,2,6]=>32
[3,6,4,7,1,5,2]=>[1,3,4,7,2,6,5]=>48
[3,6,4,7,2,5,1]=>[1,3,4,7,2,6,5]=>48
[3,6,4,7,5,1,2]=>[1,3,4,7,2,6,5]=>48
[3,6,4,7,5,2,1]=>[1,3,4,7,2,6,5]=>48
[3,6,5,1,2,4,7]=>[1,3,5,2,6,4,7]=>16
[3,6,5,1,2,7,4]=>[1,3,5,2,6,7,4]=>32
[3,6,5,1,7,4,2]=>[1,3,5,7,2,6,4]=>84
[3,6,5,2,1,4,7]=>[1,3,5,2,6,4,7]=>16
[3,6,5,2,1,7,4]=>[1,3,5,2,6,7,4]=>32
[3,6,5,2,7,4,1]=>[1,3,5,7,2,6,4]=>84
[3,6,5,4,1,2,7]=>[1,3,5,2,6,4,7]=>16
[3,6,5,4,1,7,2]=>[1,3,5,2,6,7,4]=>32
[3,6,5,4,2,1,7]=>[1,3,5,2,6,4,7]=>16
[3,6,5,4,2,7,1]=>[1,3,5,2,6,7,4]=>32
[3,6,5,4,7,1,2]=>[1,3,5,7,2,6,4]=>84
[3,6,5,4,7,2,1]=>[1,3,5,7,2,6,4]=>84
[3,6,5,7,1,2,4]=>[1,3,5,2,6,4,7]=>16
[3,6,5,7,1,4,2]=>[1,3,5,2,6,4,7]=>16
[3,6,5,7,2,1,4]=>[1,3,5,2,6,4,7]=>16
[3,6,5,7,2,4,1]=>[1,3,5,2,6,4,7]=>16
[3,6,7,1,2,4,5]=>[1,3,7,5,2,6,4]=>108
[3,6,7,1,2,5,4]=>[1,3,7,4,2,6,5]=>72
[3,6,7,1,4,5,2]=>[1,3,7,2,6,5,4]=>96
[3,6,7,1,5,2,4]=>[1,3,7,4,2,6,5]=>72
[3,6,7,2,1,4,5]=>[1,3,7,5,2,6,4]=>108
[3,6,7,2,1,5,4]=>[1,3,7,4,2,6,5]=>72
[3,6,7,2,4,5,1]=>[1,3,7,2,6,5,4]=>96
[3,6,7,2,5,1,4]=>[1,3,7,4,2,6,5]=>72
[3,6,7,4,1,2,5]=>[1,3,7,5,2,6,4]=>108
[3,6,7,4,1,5,2]=>[1,3,7,2,6,5,4]=>96
[3,6,7,4,2,1,5]=>[1,3,7,5,2,6,4]=>108
[3,6,7,4,2,5,1]=>[1,3,7,2,6,5,4]=>96
[3,7,1,2,5,6,4]=>[1,3,2,7,4,5,6]=>16
[3,7,1,2,6,5,4]=>[1,3,2,7,4,5,6]=>16
[3,7,1,4,5,6,2]=>[1,3,2,7,4,5,6]=>16
[3,7,1,4,6,5,2]=>[1,3,2,7,4,5,6]=>16
[3,7,1,5,2,6,4]=>[1,3,2,7,4,5,6]=>16
[3,7,1,5,4,6,2]=>[1,3,2,7,4,5,6]=>16
[3,7,1,5,6,2,4]=>[1,3,2,7,4,5,6]=>16
[3,7,1,5,6,4,2]=>[1,3,2,7,4,5,6]=>16
[3,7,2,1,5,6,4]=>[1,3,2,7,4,5,6]=>16
[3,7,2,1,6,5,4]=>[1,3,2,7,4,5,6]=>16
[3,7,2,4,5,6,1]=>[1,3,2,7,4,5,6]=>16
[3,7,2,4,6,5,1]=>[1,3,2,7,4,5,6]=>16
[3,7,2,5,1,6,4]=>[1,3,2,7,4,5,6]=>16
[3,7,2,5,4,6,1]=>[1,3,2,7,4,5,6]=>16
[3,7,2,5,6,1,4]=>[1,3,2,7,4,5,6]=>16
[3,7,2,5,6,4,1]=>[1,3,2,7,4,5,6]=>16
[3,7,4,1,2,5,6]=>[1,3,4,2,7,6,5]=>24
[3,7,4,1,2,6,5]=>[1,3,4,2,7,5,6]=>16
[3,7,4,1,5,2,6]=>[1,3,4,2,7,6,5]=>24
[3,7,4,1,5,6,2]=>[1,3,4,2,7,5,6]=>16
[3,7,4,1,6,2,5]=>[1,3,4,2,7,5,6]=>16
[3,7,4,1,6,5,2]=>[1,3,4,2,7,5,6]=>16
[3,7,4,2,1,5,6]=>[1,3,4,2,7,6,5]=>24
[3,7,4,2,1,6,5]=>[1,3,4,2,7,5,6]=>16
[3,7,4,2,5,1,6]=>[1,3,4,2,7,6,5]=>24
[3,7,4,2,5,6,1]=>[1,3,4,2,7,5,6]=>16
[3,7,4,2,6,1,5]=>[1,3,4,2,7,5,6]=>16
[3,7,4,2,6,5,1]=>[1,3,4,2,7,5,6]=>16
[3,7,4,5,1,2,6]=>[1,3,4,5,2,7,6]=>16
[3,7,4,5,1,6,2]=>[1,3,4,5,2,7,6]=>16
[3,7,4,5,2,1,6]=>[1,3,4,5,2,7,6]=>16
[3,7,4,5,2,6,1]=>[1,3,4,5,2,7,6]=>16
[3,7,4,5,6,1,2]=>[1,3,4,5,6,2,7]=>16
[3,7,4,5,6,2,1]=>[1,3,4,5,6,2,7]=>16
[3,7,4,6,1,2,5]=>[1,3,4,6,2,7,5]=>32
[3,7,4,6,2,1,5]=>[1,3,4,6,2,7,5]=>32
[3,7,4,6,5,1,2]=>[1,3,4,6,2,7,5]=>32
[3,7,4,6,5,2,1]=>[1,3,4,6,2,7,5]=>32
[3,7,5,1,2,4,6]=>[1,3,5,2,7,6,4]=>48
[3,7,5,1,2,6,4]=>[1,3,5,2,7,4,6]=>32
[3,7,5,1,6,2,4]=>[1,3,5,6,2,7,4]=>56
[3,7,5,2,1,4,6]=>[1,3,5,2,7,6,4]=>48
[3,7,5,2,1,6,4]=>[1,3,5,2,7,4,6]=>32
[3,7,5,2,6,1,4]=>[1,3,5,6,2,7,4]=>56
[3,7,5,4,1,2,6]=>[1,3,5,2,7,6,4]=>48
[3,7,5,4,1,6,2]=>[1,3,5,2,7,4,6]=>32
[3,7,5,4,2,1,6]=>[1,3,5,2,7,6,4]=>48
[3,7,5,4,2,6,1]=>[1,3,5,2,7,4,6]=>32
[3,7,5,4,6,1,2]=>[1,3,5,6,2,7,4]=>56
[3,7,5,4,6,2,1]=>[1,3,5,6,2,7,4]=>56
[3,7,5,6,1,2,4]=>[1,3,5,2,7,4,6]=>32
[3,7,5,6,1,4,2]=>[1,3,5,2,7,4,6]=>32
[3,7,5,6,2,1,4]=>[1,3,5,2,7,4,6]=>32
[3,7,5,6,2,4,1]=>[1,3,5,2,7,4,6]=>32
[3,7,6,1,2,4,5]=>[1,3,6,4,2,7,5]=>48
[3,7,6,1,5,2,4]=>[1,3,6,2,7,4,5]=>56
[3,7,6,1,5,4,2]=>[1,3,6,4,2,7,5]=>48
[3,7,6,2,1,4,5]=>[1,3,6,4,2,7,5]=>48
[3,7,6,2,5,1,4]=>[1,3,6,2,7,4,5]=>56
[3,7,6,2,5,4,1]=>[1,3,6,4,2,7,5]=>48
[3,7,6,4,5,1,2]=>[1,3,6,2,7,4,5]=>56
[3,7,6,4,5,2,1]=>[1,3,6,2,7,4,5]=>56
[3,7,6,5,1,2,4]=>[1,3,6,2,7,4,5]=>56
[3,7,6,5,2,1,4]=>[1,3,6,2,7,4,5]=>56
[3,7,6,5,4,1,2]=>[1,3,6,2,7,4,5]=>56
[3,7,6,5,4,2,1]=>[1,3,6,2,7,4,5]=>56
[4,1,2,5,6,7,3]=>[1,4,5,6,7,3,2]=>162
[4,1,2,5,7,3,6]=>[1,4,5,7,6,3,2]=>216
[4,1,2,6,3,7,5]=>[1,4,6,7,5,3,2]=>288
[4,1,2,7,3,5,6]=>[1,4,7,6,5,3,2]=>360
[4,1,2,7,6,3,5]=>[1,4,7,5,6,3,2]=>288
[4,1,3,2,5,6,7]=>[1,4,2,3,5,6,7]=>4
[4,1,3,2,5,7,6]=>[1,4,2,3,5,6,7]=>4
[4,1,3,2,6,5,7]=>[1,4,2,3,5,6,7]=>4
[4,1,3,2,6,7,5]=>[1,4,2,3,5,6,7]=>4
[4,1,3,2,7,5,6]=>[1,4,2,3,5,7,6]=>8
[4,1,3,2,7,6,5]=>[1,4,2,3,5,7,6]=>8
[4,1,3,5,2,6,7]=>[1,4,5,2,3,6,7]=>14
[4,1,3,5,2,7,6]=>[1,4,5,2,3,6,7]=>14
[4,1,3,5,6,2,7]=>[1,4,5,6,2,3,7]=>46
[4,1,3,5,6,7,2]=>[1,4,5,6,7,2,3]=>146
[4,1,3,5,7,2,6]=>[1,4,5,7,6,2,3]=>192
[4,1,3,5,7,6,2]=>[1,4,5,7,2,3,6]=>92
[4,1,3,6,2,7,5]=>[1,4,6,7,5,2,3]=>252
[4,1,3,6,5,2,7]=>[1,4,6,2,3,5,7]=>28
[4,1,3,6,5,7,2]=>[1,4,6,7,2,3,5]=>152
[4,1,3,6,7,2,5]=>[1,4,6,2,3,5,7]=>28
[4,1,3,7,2,5,6]=>[1,4,7,6,5,2,3]=>312
[4,1,3,7,5,6,2]=>[1,4,7,2,3,5,6]=>56
[4,1,3,7,6,2,5]=>[1,4,7,5,6,2,3]=>252
[4,1,3,7,6,5,2]=>[1,4,7,2,3,5,6]=>56
[4,1,5,2,3,6,7]=>[1,4,2,3,5,6,7]=>4
[4,1,5,2,3,7,6]=>[1,4,2,3,5,6,7]=>4
[4,1,5,2,6,3,7]=>[1,4,2,3,5,6,7]=>4
[4,1,5,2,6,7,3]=>[1,4,2,3,5,6,7]=>4
[4,1,5,2,7,3,6]=>[1,4,2,3,5,7,6]=>8
[4,1,5,2,7,6,3]=>[1,4,2,3,5,7,6]=>8
[4,1,5,3,6,7,2]=>[1,4,3,5,6,7,2]=>48
[4,1,5,6,3,2,7]=>[1,4,6,2,3,5,7]=>28
[4,1,5,6,3,7,2]=>[1,4,6,7,2,3,5]=>152
[4,1,5,6,7,2,3]=>[1,4,6,2,3,5,7]=>28
[4,1,5,7,2,6,3]=>[1,4,7,3,5,2,6]=>108
[4,1,5,7,3,6,2]=>[1,4,7,2,3,5,6]=>56
[4,1,5,7,6,3,2]=>[1,4,7,2,3,5,6]=>56
[4,1,6,2,3,5,7]=>[1,4,2,3,6,5,7]=>8
[4,1,6,2,3,7,5]=>[1,4,2,3,6,7,5]=>16
[4,1,6,2,5,3,7]=>[1,4,2,3,6,5,7]=>8
[4,1,6,2,5,7,3]=>[1,4,2,3,6,7,5]=>16
[4,1,6,2,7,3,5]=>[1,4,2,3,6,5,7]=>8
[4,1,6,2,7,5,3]=>[1,4,2,3,6,5,7]=>8
[4,1,6,5,2,3,7]=>[1,4,5,2,3,6,7]=>14
[4,1,6,5,2,7,3]=>[1,4,5,2,3,6,7]=>14
[4,1,6,5,7,3,2]=>[1,4,5,7,2,3,6]=>92
[4,1,6,7,2,5,3]=>[1,4,7,3,6,5,2]=>216
[4,1,6,7,3,5,2]=>[1,4,7,2,3,6,5]=>84
[4,1,6,7,5,3,2]=>[1,4,7,2,3,6,5]=>84
[4,1,7,2,3,5,6]=>[1,4,2,3,7,6,5]=>24
[4,1,7,2,3,6,5]=>[1,4,2,3,7,5,6]=>16
[4,1,7,2,5,3,6]=>[1,4,2,3,7,6,5]=>24
[4,1,7,2,5,6,3]=>[1,4,2,3,7,5,6]=>16
[4,1,7,2,6,3,5]=>[1,4,2,3,7,5,6]=>16
[4,1,7,2,6,5,3]=>[1,4,2,3,7,5,6]=>16
[4,1,7,5,2,3,6]=>[1,4,5,2,3,7,6]=>28
[4,1,7,5,2,6,3]=>[1,4,5,2,3,7,6]=>28
[4,1,7,5,3,2,6]=>[1,4,5,3,7,6,2]=>108
[4,1,7,5,6,2,3]=>[1,4,5,6,2,3,7]=>46
[4,1,7,6,3,2,5]=>[1,4,6,2,3,7,5]=>56
[4,1,7,6,5,2,3]=>[1,4,6,2,3,7,5]=>56
[4,2,1,5,6,7,3]=>[1,4,5,6,7,3,2]=>162
[4,2,1,5,7,3,6]=>[1,4,5,7,6,3,2]=>216
[4,2,1,6,3,7,5]=>[1,4,6,7,5,3,2]=>288
[4,2,1,7,3,5,6]=>[1,4,7,6,5,3,2]=>360
[4,2,1,7,6,3,5]=>[1,4,7,5,6,3,2]=>288
[4,2,3,1,5,6,7]=>[1,4,2,3,5,6,7]=>4
[4,2,3,1,5,7,6]=>[1,4,2,3,5,6,7]=>4
[4,2,3,1,6,5,7]=>[1,4,2,3,5,6,7]=>4
[4,2,3,1,6,7,5]=>[1,4,2,3,5,6,7]=>4
[4,2,3,1,7,5,6]=>[1,4,2,3,5,7,6]=>8
[4,2,3,1,7,6,5]=>[1,4,2,3,5,7,6]=>8
[4,2,3,5,1,6,7]=>[1,4,5,2,3,6,7]=>14
[4,2,3,5,1,7,6]=>[1,4,5,2,3,6,7]=>14
[4,2,3,5,6,1,7]=>[1,4,5,6,2,3,7]=>46
[4,2,3,5,6,7,1]=>[1,4,5,6,7,2,3]=>146
[4,2,3,5,7,1,6]=>[1,4,5,7,6,2,3]=>192
[4,2,3,5,7,6,1]=>[1,4,5,7,2,3,6]=>92
[4,2,3,6,1,7,5]=>[1,4,6,7,5,2,3]=>252
[4,2,3,6,5,1,7]=>[1,4,6,2,3,5,7]=>28
[4,2,3,6,5,7,1]=>[1,4,6,7,2,3,5]=>152
[4,2,3,6,7,1,5]=>[1,4,6,2,3,5,7]=>28
[4,2,3,7,1,5,6]=>[1,4,7,6,5,2,3]=>312
[4,2,3,7,5,6,1]=>[1,4,7,2,3,5,6]=>56
[4,2,3,7,6,1,5]=>[1,4,7,5,6,2,3]=>252
[4,2,3,7,6,5,1]=>[1,4,7,2,3,5,6]=>56
[4,2,5,1,3,6,7]=>[1,4,2,3,5,6,7]=>4
[4,2,5,1,3,7,6]=>[1,4,2,3,5,6,7]=>4
[4,2,5,1,6,3,7]=>[1,4,2,3,5,6,7]=>4
[4,2,5,1,6,7,3]=>[1,4,2,3,5,6,7]=>4
[4,2,5,1,7,3,6]=>[1,4,2,3,5,7,6]=>8
[4,2,5,1,7,6,3]=>[1,4,2,3,5,7,6]=>8
[4,2,5,3,6,7,1]=>[1,4,3,5,6,7,2]=>48
[4,2,5,6,3,1,7]=>[1,4,6,2,3,5,7]=>28
[4,2,5,6,3,7,1]=>[1,4,6,7,2,3,5]=>152
[4,2,5,6,7,1,3]=>[1,4,6,2,3,5,7]=>28
[4,2,5,7,1,6,3]=>[1,4,7,3,5,2,6]=>108
[4,2,5,7,3,6,1]=>[1,4,7,2,3,5,6]=>56
[4,2,5,7,6,3,1]=>[1,4,7,2,3,5,6]=>56
[4,2,6,1,3,5,7]=>[1,4,2,3,6,5,7]=>8
[4,2,6,1,3,7,5]=>[1,4,2,3,6,7,5]=>16
[4,2,6,1,5,3,7]=>[1,4,2,3,6,5,7]=>8
[4,2,6,1,5,7,3]=>[1,4,2,3,6,7,5]=>16
[4,2,6,1,7,3,5]=>[1,4,2,3,6,5,7]=>8
[4,2,6,1,7,5,3]=>[1,4,2,3,6,5,7]=>8
[4,2,6,5,1,3,7]=>[1,4,5,2,3,6,7]=>14
[4,2,6,5,1,7,3]=>[1,4,5,2,3,6,7]=>14
[4,2,6,5,7,3,1]=>[1,4,5,7,2,3,6]=>92
[4,2,6,7,1,5,3]=>[1,4,7,3,6,5,2]=>216
[4,2,6,7,3,5,1]=>[1,4,7,2,3,6,5]=>84
[4,2,6,7,5,3,1]=>[1,4,7,2,3,6,5]=>84
[4,2,7,1,3,5,6]=>[1,4,2,3,7,6,5]=>24
[4,2,7,1,3,6,5]=>[1,4,2,3,7,5,6]=>16
[4,2,7,1,5,3,6]=>[1,4,2,3,7,6,5]=>24
[4,2,7,1,5,6,3]=>[1,4,2,3,7,5,6]=>16
[4,2,7,1,6,3,5]=>[1,4,2,3,7,5,6]=>16
[4,2,7,1,6,5,3]=>[1,4,2,3,7,5,6]=>16
[4,2,7,5,1,3,6]=>[1,4,5,2,3,7,6]=>28
[4,2,7,5,1,6,3]=>[1,4,5,2,3,7,6]=>28
[4,2,7,5,3,1,6]=>[1,4,5,3,7,6,2]=>108
[4,2,7,5,6,1,3]=>[1,4,5,6,2,3,7]=>46
[4,2,7,6,3,1,5]=>[1,4,6,2,3,7,5]=>56
[4,2,7,6,5,1,3]=>[1,4,6,2,3,7,5]=>56
[4,3,1,2,5,6,7]=>[1,4,2,3,5,6,7]=>4
[4,3,1,2,5,7,6]=>[1,4,2,3,5,6,7]=>4
[4,3,1,2,6,5,7]=>[1,4,2,3,5,6,7]=>4
[4,3,1,2,6,7,5]=>[1,4,2,3,5,6,7]=>4
[4,3,1,2,7,5,6]=>[1,4,2,3,5,7,6]=>8
[4,3,1,2,7,6,5]=>[1,4,2,3,5,7,6]=>8
[4,3,1,5,2,6,7]=>[1,4,5,2,3,6,7]=>14
[4,3,1,5,2,7,6]=>[1,4,5,2,3,6,7]=>14
[4,3,1,5,6,2,7]=>[1,4,5,6,2,3,7]=>46
[4,3,1,5,6,7,2]=>[1,4,5,6,7,2,3]=>146
[4,3,1,5,7,2,6]=>[1,4,5,7,6,2,3]=>192
[4,3,1,5,7,6,2]=>[1,4,5,7,2,3,6]=>92
[4,3,1,6,2,7,5]=>[1,4,6,7,5,2,3]=>252
[4,3,1,6,5,2,7]=>[1,4,6,2,3,5,7]=>28
[4,3,1,6,5,7,2]=>[1,4,6,7,2,3,5]=>152
[4,3,1,6,7,2,5]=>[1,4,6,2,3,5,7]=>28
[4,3,1,7,2,5,6]=>[1,4,7,6,5,2,3]=>312
[4,3,1,7,5,6,2]=>[1,4,7,2,3,5,6]=>56
[4,3,1,7,6,2,5]=>[1,4,7,5,6,2,3]=>252
[4,3,1,7,6,5,2]=>[1,4,7,2,3,5,6]=>56
[4,3,2,1,5,6,7]=>[1,4,2,3,5,6,7]=>4
[4,3,2,1,5,7,6]=>[1,4,2,3,5,6,7]=>4
[4,3,2,1,6,5,7]=>[1,4,2,3,5,6,7]=>4
[4,3,2,1,6,7,5]=>[1,4,2,3,5,6,7]=>4
[4,3,2,1,7,5,6]=>[1,4,2,3,5,7,6]=>8
[4,3,2,1,7,6,5]=>[1,4,2,3,5,7,6]=>8
[4,3,2,5,1,6,7]=>[1,4,5,2,3,6,7]=>14
[4,3,2,5,1,7,6]=>[1,4,5,2,3,6,7]=>14
[4,3,2,5,6,1,7]=>[1,4,5,6,2,3,7]=>46
[4,3,2,5,6,7,1]=>[1,4,5,6,7,2,3]=>146
[4,3,2,5,7,1,6]=>[1,4,5,7,6,2,3]=>192
[4,3,2,5,7,6,1]=>[1,4,5,7,2,3,6]=>92
[4,3,2,6,1,7,5]=>[1,4,6,7,5,2,3]=>252
[4,3,2,6,5,1,7]=>[1,4,6,2,3,5,7]=>28
[4,3,2,6,5,7,1]=>[1,4,6,7,2,3,5]=>152
[4,3,2,6,7,1,5]=>[1,4,6,2,3,5,7]=>28
[4,3,2,7,1,5,6]=>[1,4,7,6,5,2,3]=>312
[4,3,2,7,5,6,1]=>[1,4,7,2,3,5,6]=>56
[4,3,2,7,6,1,5]=>[1,4,7,5,6,2,3]=>252
[4,3,2,7,6,5,1]=>[1,4,7,2,3,5,6]=>56
[4,3,5,1,2,6,7]=>[1,4,2,3,5,6,7]=>4
[4,3,5,1,2,7,6]=>[1,4,2,3,5,6,7]=>4
[4,3,5,1,6,2,7]=>[1,4,2,3,5,6,7]=>4
[4,3,5,1,6,7,2]=>[1,4,2,3,5,6,7]=>4
[4,3,5,1,7,2,6]=>[1,4,2,3,5,7,6]=>8
[4,3,5,1,7,6,2]=>[1,4,2,3,5,7,6]=>8
[4,3,5,2,1,6,7]=>[1,4,2,3,5,6,7]=>4
[4,3,5,2,1,7,6]=>[1,4,2,3,5,6,7]=>4
[4,3,5,2,6,1,7]=>[1,4,2,3,5,6,7]=>4
[4,3,5,2,6,7,1]=>[1,4,2,3,5,6,7]=>4
[4,3,5,2,7,1,6]=>[1,4,2,3,5,7,6]=>8
[4,3,5,2,7,6,1]=>[1,4,2,3,5,7,6]=>8
[4,3,5,6,1,2,7]=>[1,4,6,2,3,5,7]=>28
[4,3,5,6,1,7,2]=>[1,4,6,7,2,3,5]=>152
[4,3,5,6,2,1,7]=>[1,4,6,2,3,5,7]=>28
[4,3,5,6,2,7,1]=>[1,4,6,7,2,3,5]=>152
[4,3,5,6,7,1,2]=>[1,4,6,2,3,5,7]=>28
[4,3,5,6,7,2,1]=>[1,4,6,2,3,5,7]=>28
[4,3,5,7,1,6,2]=>[1,4,7,2,3,5,6]=>56
[4,3,5,7,2,6,1]=>[1,4,7,2,3,5,6]=>56
[4,3,5,7,6,1,2]=>[1,4,7,2,3,5,6]=>56
[4,3,5,7,6,2,1]=>[1,4,7,2,3,5,6]=>56
[4,3,6,1,2,5,7]=>[1,4,2,3,6,5,7]=>8
[4,3,6,1,2,7,5]=>[1,4,2,3,6,7,5]=>16
[4,3,6,1,5,2,7]=>[1,4,2,3,6,5,7]=>8
[4,3,6,1,5,7,2]=>[1,4,2,3,6,7,5]=>16
[4,3,6,1,7,2,5]=>[1,4,2,3,6,5,7]=>8
[4,3,6,1,7,5,2]=>[1,4,2,3,6,5,7]=>8
[4,3,6,2,1,5,7]=>[1,4,2,3,6,5,7]=>8
[4,3,6,2,1,7,5]=>[1,4,2,3,6,7,5]=>16
[4,3,6,2,5,1,7]=>[1,4,2,3,6,5,7]=>8
[4,3,6,2,5,7,1]=>[1,4,2,3,6,7,5]=>16
[4,3,6,2,7,1,5]=>[1,4,2,3,6,5,7]=>8
[4,3,6,2,7,5,1]=>[1,4,2,3,6,5,7]=>8
[4,3,6,5,1,2,7]=>[1,4,5,2,3,6,7]=>14
[4,3,6,5,1,7,2]=>[1,4,5,2,3,6,7]=>14
[4,3,6,5,2,1,7]=>[1,4,5,2,3,6,7]=>14
[4,3,6,5,2,7,1]=>[1,4,5,2,3,6,7]=>14
[4,3,6,5,7,1,2]=>[1,4,5,7,2,3,6]=>92
[4,3,6,5,7,2,1]=>[1,4,5,7,2,3,6]=>92
[4,3,6,7,1,5,2]=>[1,4,7,2,3,6,5]=>84
[4,3,6,7,2,5,1]=>[1,4,7,2,3,6,5]=>84
[4,3,6,7,5,1,2]=>[1,4,7,2,3,6,5]=>84
[4,3,6,7,5,2,1]=>[1,4,7,2,3,6,5]=>84
[4,3,7,1,2,5,6]=>[1,4,2,3,7,6,5]=>24
[4,3,7,1,2,6,5]=>[1,4,2,3,7,5,6]=>16
[4,3,7,1,5,2,6]=>[1,4,2,3,7,6,5]=>24
[4,3,7,1,5,6,2]=>[1,4,2,3,7,5,6]=>16
[4,3,7,1,6,2,5]=>[1,4,2,3,7,5,6]=>16
[4,3,7,1,6,5,2]=>[1,4,2,3,7,5,6]=>16
[4,3,7,2,1,5,6]=>[1,4,2,3,7,6,5]=>24
[4,3,7,2,1,6,5]=>[1,4,2,3,7,5,6]=>16
[4,3,7,2,5,1,6]=>[1,4,2,3,7,6,5]=>24
[4,3,7,2,5,6,1]=>[1,4,2,3,7,5,6]=>16
[4,3,7,2,6,1,5]=>[1,4,2,3,7,5,6]=>16
[4,3,7,2,6,5,1]=>[1,4,2,3,7,5,6]=>16
[4,3,7,5,1,2,6]=>[1,4,5,2,3,7,6]=>28
[4,3,7,5,1,6,2]=>[1,4,5,2,3,7,6]=>28
[4,3,7,5,2,1,6]=>[1,4,5,2,3,7,6]=>28
[4,3,7,5,2,6,1]=>[1,4,5,2,3,7,6]=>28
[4,3,7,5,6,1,2]=>[1,4,5,6,2,3,7]=>46
[4,3,7,5,6,2,1]=>[1,4,5,6,2,3,7]=>46
[4,3,7,6,1,2,5]=>[1,4,6,2,3,7,5]=>56
[4,3,7,6,2,1,5]=>[1,4,6,2,3,7,5]=>56
[4,3,7,6,5,1,2]=>[1,4,6,2,3,7,5]=>56
[4,3,7,6,5,2,1]=>[1,4,6,2,3,7,5]=>56
[4,5,1,2,3,6,7]=>[1,4,2,5,3,6,7]=>8
[4,5,1,2,3,7,6]=>[1,4,2,5,3,6,7]=>8
[4,5,1,2,6,3,7]=>[1,4,2,5,6,3,7]=>16
[4,5,1,2,6,7,3]=>[1,4,2,5,6,7,3]=>32
[4,5,1,2,7,3,6]=>[1,4,2,5,7,6,3]=>48
[4,5,1,2,7,6,3]=>[1,4,2,5,7,3,6]=>32
[4,5,1,7,3,2,6]=>[1,4,7,6,2,5,3]=>240
[4,5,1,7,6,3,2]=>[1,4,7,2,5,6,3]=>126
[4,5,2,1,3,6,7]=>[1,4,2,5,3,6,7]=>8
[4,5,2,1,3,7,6]=>[1,4,2,5,3,6,7]=>8
[4,5,2,1,6,3,7]=>[1,4,2,5,6,3,7]=>16
[4,5,2,1,6,7,3]=>[1,4,2,5,6,7,3]=>32
[4,5,2,1,7,3,6]=>[1,4,2,5,7,6,3]=>48
[4,5,2,1,7,6,3]=>[1,4,2,5,7,3,6]=>32
[4,5,2,7,3,1,6]=>[1,4,7,6,2,5,3]=>240
[4,5,2,7,6,3,1]=>[1,4,7,2,5,6,3]=>126
[4,5,3,1,2,6,7]=>[1,4,2,5,3,6,7]=>8
[4,5,3,1,2,7,6]=>[1,4,2,5,3,6,7]=>8
[4,5,3,1,6,2,7]=>[1,4,2,5,6,3,7]=>16
[4,5,3,1,6,7,2]=>[1,4,2,5,6,7,3]=>32
[4,5,3,1,7,2,6]=>[1,4,2,5,7,6,3]=>48
[4,5,3,1,7,6,2]=>[1,4,2,5,7,3,6]=>32
[4,5,3,2,1,6,7]=>[1,4,2,5,3,6,7]=>8
[4,5,3,2,1,7,6]=>[1,4,2,5,3,6,7]=>8
[4,5,3,2,6,1,7]=>[1,4,2,5,6,3,7]=>16
[4,5,3,2,6,7,1]=>[1,4,2,5,6,7,3]=>32
[4,5,3,2,7,1,6]=>[1,4,2,5,7,6,3]=>48
[4,5,3,2,7,6,1]=>[1,4,2,5,7,3,6]=>32
[4,5,3,7,1,2,6]=>[1,4,7,6,2,5,3]=>240
[4,5,3,7,2,1,6]=>[1,4,7,6,2,5,3]=>240
[4,5,3,7,6,1,2]=>[1,4,7,2,5,6,3]=>126
[4,5,3,7,6,2,1]=>[1,4,7,2,5,6,3]=>126
[4,5,6,1,2,3,7]=>[1,4,2,5,3,6,7]=>8
[4,5,6,1,2,7,3]=>[1,4,2,5,3,6,7]=>8
[4,5,6,1,3,2,7]=>[1,4,2,5,3,6,7]=>8
[4,5,6,1,3,7,2]=>[1,4,2,5,3,6,7]=>8
[4,5,6,1,7,2,3]=>[1,4,2,5,7,3,6]=>32
[4,5,6,1,7,3,2]=>[1,4,2,5,7,3,6]=>32
[4,5,6,2,1,3,7]=>[1,4,2,5,3,6,7]=>8
[4,5,6,2,1,7,3]=>[1,4,2,5,3,6,7]=>8
[4,5,6,2,3,1,7]=>[1,4,2,5,3,6,7]=>8
[4,5,6,2,3,7,1]=>[1,4,2,5,3,6,7]=>8
[4,5,6,2,7,1,3]=>[1,4,2,5,7,3,6]=>32
[4,5,6,2,7,3,1]=>[1,4,2,5,7,3,6]=>32
[4,5,7,1,2,3,6]=>[1,4,2,5,3,7,6]=>16
[4,5,7,1,2,6,3]=>[1,4,2,5,3,7,6]=>16
[4,5,7,1,3,2,6]=>[1,4,2,5,3,7,6]=>16
[4,5,7,1,3,6,2]=>[1,4,2,5,3,7,6]=>16
[4,5,7,1,6,2,3]=>[1,4,2,5,6,3,7]=>16
[4,5,7,1,6,3,2]=>[1,4,2,5,6,3,7]=>16
[4,5,7,2,1,3,6]=>[1,4,2,5,3,7,6]=>16
[4,5,7,2,1,6,3]=>[1,4,2,5,3,7,6]=>16
[4,5,7,2,3,1,6]=>[1,4,2,5,3,7,6]=>16
[4,5,7,2,3,6,1]=>[1,4,2,5,3,7,6]=>16
[4,5,7,2,6,1,3]=>[1,4,2,5,6,3,7]=>16
[4,5,7,2,6,3,1]=>[1,4,2,5,6,3,7]=>16
[4,6,1,2,5,3,7]=>[1,4,2,6,3,5,7]=>16
[4,6,1,2,5,7,3]=>[1,4,2,6,7,3,5]=>56
[4,6,1,2,7,3,5]=>[1,4,2,6,3,5,7]=>16
[4,6,1,5,2,3,7]=>[1,4,5,2,6,3,7]=>28
[4,6,1,5,2,7,3]=>[1,4,5,2,6,7,3]=>56
[4,6,1,5,7,3,2]=>[1,4,5,7,2,6,3]=>138
[4,6,1,7,2,5,3]=>[1,4,7,3,2,6,5]=>108
[4,6,1,7,3,5,2]=>[1,4,7,2,6,5,3]=>168
[4,6,1,7,5,2,3]=>[1,4,7,3,2,6,5]=>108
[4,6,2,1,5,3,7]=>[1,4,2,6,3,5,7]=>16
[4,6,2,1,5,7,3]=>[1,4,2,6,7,3,5]=>56
[4,6,2,1,7,3,5]=>[1,4,2,6,3,5,7]=>16
[4,6,2,5,1,3,7]=>[1,4,5,2,6,3,7]=>28
[4,6,2,5,1,7,3]=>[1,4,5,2,6,7,3]=>56
[4,6,2,5,7,3,1]=>[1,4,5,7,2,6,3]=>138
[4,6,2,7,1,5,3]=>[1,4,7,3,2,6,5]=>108
[4,6,2,7,3,5,1]=>[1,4,7,2,6,5,3]=>168
[4,6,2,7,5,1,3]=>[1,4,7,3,2,6,5]=>108
[4,6,3,1,5,2,7]=>[1,4,2,6,3,5,7]=>16
[4,6,3,1,5,7,2]=>[1,4,2,6,7,3,5]=>56
[4,6,3,1,7,2,5]=>[1,4,2,6,3,5,7]=>16
[4,6,3,2,5,1,7]=>[1,4,2,6,3,5,7]=>16
[4,6,3,2,5,7,1]=>[1,4,2,6,7,3,5]=>56
[4,6,3,2,7,1,5]=>[1,4,2,6,3,5,7]=>16
[4,6,3,5,1,2,7]=>[1,4,5,2,6,3,7]=>28
[4,6,3,5,1,7,2]=>[1,4,5,2,6,7,3]=>56
[4,6,3,5,2,1,7]=>[1,4,5,2,6,3,7]=>28
[4,6,3,5,2,7,1]=>[1,4,5,2,6,7,3]=>56
[4,6,3,5,7,1,2]=>[1,4,5,7,2,6,3]=>138
[4,6,3,5,7,2,1]=>[1,4,5,7,2,6,3]=>138
[4,6,3,7,1,5,2]=>[1,4,7,2,6,5,3]=>168
[4,6,3,7,2,5,1]=>[1,4,7,2,6,5,3]=>168
[4,6,5,1,2,3,7]=>[1,4,2,6,3,5,7]=>16
[4,6,5,1,2,7,3]=>[1,4,2,6,7,3,5]=>56
[4,6,5,1,3,2,7]=>[1,4,2,6,3,5,7]=>16
[4,6,5,1,3,7,2]=>[1,4,2,6,7,3,5]=>56
[4,6,5,1,7,2,3]=>[1,4,2,6,3,5,7]=>16
[4,6,5,1,7,3,2]=>[1,4,2,6,3,5,7]=>16
[4,6,5,2,1,3,7]=>[1,4,2,6,3,5,7]=>16
[4,6,5,2,1,7,3]=>[1,4,2,6,7,3,5]=>56
[4,6,5,2,3,1,7]=>[1,4,2,6,3,5,7]=>16
[4,6,5,2,3,7,1]=>[1,4,2,6,7,3,5]=>56
[4,6,5,2,7,1,3]=>[1,4,2,6,3,5,7]=>16
[4,6,5,2,7,3,1]=>[1,4,2,6,3,5,7]=>16
[4,6,5,7,1,2,3]=>[1,4,7,3,5,2,6]=>108
[4,6,5,7,2,1,3]=>[1,4,7,3,5,2,6]=>108
[4,6,7,1,2,3,5]=>[1,4,2,6,3,7,5]=>32
[4,6,7,1,3,2,5]=>[1,4,2,6,3,7,5]=>32
[4,6,7,1,5,2,3]=>[1,4,2,6,3,7,5]=>32
[4,6,7,1,5,3,2]=>[1,4,2,6,3,7,5]=>32
[4,6,7,2,1,3,5]=>[1,4,2,6,3,7,5]=>32
[4,6,7,2,3,1,5]=>[1,4,2,6,3,7,5]=>32
[4,6,7,2,5,1,3]=>[1,4,2,6,3,7,5]=>32
[4,6,7,2,5,3,1]=>[1,4,2,6,3,7,5]=>32
[4,6,7,5,1,2,3]=>[1,4,5,2,6,3,7]=>28
[4,6,7,5,1,3,2]=>[1,4,5,2,6,3,7]=>28
[4,6,7,5,2,1,3]=>[1,4,5,2,6,3,7]=>28
[4,6,7,5,2,3,1]=>[1,4,5,2,6,3,7]=>28
[4,7,1,2,3,5,6]=>[1,4,2,7,6,5,3]=>96
[4,7,1,2,5,3,6]=>[1,4,2,7,6,3,5]=>72
[4,7,1,2,5,6,3]=>[1,4,2,7,3,5,6]=>32
[4,7,1,2,6,5,3]=>[1,4,2,7,3,5,6]=>32
[4,7,1,3,2,5,6]=>[1,4,3,2,7,6,5]=>36
[4,7,1,3,5,2,6]=>[1,4,3,2,7,6,5]=>36
[4,7,1,5,2,3,6]=>[1,4,5,2,7,6,3]=>84
[4,7,1,5,2,6,3]=>[1,4,5,2,7,3,6]=>56
[4,7,1,5,6,2,3]=>[1,4,5,6,2,7,3]=>92
[4,7,1,6,3,2,5]=>[1,4,6,2,7,5,3]=>126
[4,7,1,6,5,2,3]=>[1,4,6,2,7,3,5]=>98
[4,7,2,1,3,5,6]=>[1,4,2,7,6,5,3]=>96
[4,7,2,1,5,3,6]=>[1,4,2,7,6,3,5]=>72
[4,7,2,1,5,6,3]=>[1,4,2,7,3,5,6]=>32
[4,7,2,1,6,5,3]=>[1,4,2,7,3,5,6]=>32
[4,7,2,3,1,5,6]=>[1,4,3,2,7,6,5]=>36
[4,7,2,3,5,1,6]=>[1,4,3,2,7,6,5]=>36
[4,7,2,5,1,3,6]=>[1,4,5,2,7,6,3]=>84
[4,7,2,5,1,6,3]=>[1,4,5,2,7,3,6]=>56
[4,7,2,5,6,1,3]=>[1,4,5,6,2,7,3]=>92
[4,7,2,6,3,1,5]=>[1,4,6,2,7,5,3]=>126
[4,7,2,6,5,1,3]=>[1,4,6,2,7,3,5]=>98
[4,7,3,1,2,5,6]=>[1,4,2,7,6,5,3]=>96
[4,7,3,1,5,2,6]=>[1,4,2,7,6,3,5]=>72
[4,7,3,1,5,6,2]=>[1,4,2,7,3,5,6]=>32
[4,7,3,1,6,5,2]=>[1,4,2,7,3,5,6]=>32
[4,7,3,2,1,5,6]=>[1,4,2,7,6,5,3]=>96
[4,7,3,2,5,1,6]=>[1,4,2,7,6,3,5]=>72
[4,7,3,2,5,6,1]=>[1,4,2,7,3,5,6]=>32
[4,7,3,2,6,5,1]=>[1,4,2,7,3,5,6]=>32
[4,7,3,5,1,2,6]=>[1,4,5,2,7,6,3]=>84
[4,7,3,5,1,6,2]=>[1,4,5,2,7,3,6]=>56
[4,7,3,5,2,1,6]=>[1,4,5,2,7,6,3]=>84
[4,7,3,5,2,6,1]=>[1,4,5,2,7,3,6]=>56
[4,7,3,5,6,1,2]=>[1,4,5,6,2,7,3]=>92
[4,7,3,5,6,2,1]=>[1,4,5,6,2,7,3]=>92
[4,7,3,6,1,2,5]=>[1,4,6,2,7,5,3]=>126
[4,7,3,6,2,1,5]=>[1,4,6,2,7,5,3]=>126
[4,7,3,6,5,1,2]=>[1,4,6,2,7,3,5]=>98
[4,7,3,6,5,2,1]=>[1,4,6,2,7,3,5]=>98
[4,7,5,1,2,3,6]=>[1,4,2,7,6,3,5]=>72
[4,7,5,1,2,6,3]=>[1,4,2,7,3,5,6]=>32
[4,7,5,1,3,2,6]=>[1,4,2,7,6,3,5]=>72
[4,7,5,1,3,6,2]=>[1,4,2,7,3,5,6]=>32
[4,7,5,1,6,2,3]=>[1,4,2,7,3,5,6]=>32
[4,7,5,1,6,3,2]=>[1,4,2,7,3,5,6]=>32
[4,7,5,2,1,3,6]=>[1,4,2,7,6,3,5]=>72
[4,7,5,2,1,6,3]=>[1,4,2,7,3,5,6]=>32
[4,7,5,2,3,1,6]=>[1,4,2,7,6,3,5]=>72
[4,7,5,2,3,6,1]=>[1,4,2,7,3,5,6]=>32
[4,7,5,2,6,1,3]=>[1,4,2,7,3,5,6]=>32
[4,7,5,2,6,3,1]=>[1,4,2,7,3,5,6]=>32
[4,7,5,6,1,2,3]=>[1,4,6,2,7,3,5]=>98
[4,7,5,6,2,1,3]=>[1,4,6,2,7,3,5]=>98
[4,7,5,6,3,1,2]=>[1,4,6,2,7,3,5]=>98
[4,7,5,6,3,2,1]=>[1,4,6,2,7,3,5]=>98
[4,7,6,1,2,5,3]=>[1,4,2,7,3,6,5]=>48
[4,7,6,1,3,5,2]=>[1,4,2,7,3,6,5]=>48
[4,7,6,1,5,2,3]=>[1,4,2,7,3,6,5]=>48
[4,7,6,1,5,3,2]=>[1,4,2,7,3,6,5]=>48
[4,7,6,2,1,5,3]=>[1,4,2,7,3,6,5]=>48
[4,7,6,2,3,5,1]=>[1,4,2,7,3,6,5]=>48
[4,7,6,2,5,1,3]=>[1,4,2,7,3,6,5]=>48
[4,7,6,2,5,3,1]=>[1,4,2,7,3,6,5]=>48
[4,7,6,5,1,2,3]=>[1,4,5,2,7,3,6]=>56
[4,7,6,5,1,3,2]=>[1,4,5,2,7,3,6]=>56
[4,7,6,5,2,1,3]=>[1,4,5,2,7,3,6]=>56
[4,7,6,5,2,3,1]=>[1,4,5,2,7,3,6]=>56
[5,1,2,3,6,7,4]=>[1,5,6,7,4,3,2]=>384
[5,1,2,3,7,4,6]=>[1,5,7,6,4,3,2]=>480
[5,1,2,4,6,7,3]=>[1,5,6,7,3,2,4]=>276
[5,1,2,4,7,3,6]=>[1,5,7,6,3,2,4]=>336
[5,1,2,7,3,4,6]=>[1,5,3,2,4,7,6]=>24
[5,1,2,7,3,6,4]=>[1,5,3,2,4,7,6]=>24
[5,1,2,7,4,3,6]=>[1,5,4,7,6,3,2]=>288
[5,1,2,7,6,4,3]=>[1,5,6,4,7,3,2]=>288
[5,1,3,2,6,7,4]=>[1,5,6,7,4,2,3]=>330
[5,1,3,2,7,4,6]=>[1,5,7,6,4,2,3]=>408
[5,1,3,4,2,6,7]=>[1,5,2,3,4,6,7]=>8
[5,1,3,4,2,7,6]=>[1,5,2,3,4,6,7]=>8
[5,1,3,4,6,2,7]=>[1,5,6,2,3,4,7]=>46
[5,1,3,4,6,7,2]=>[1,5,6,7,2,3,4]=>230
[5,1,3,4,7,2,6]=>[1,5,7,6,2,3,4]=>276
[5,1,3,4,7,6,2]=>[1,5,7,2,3,4,6]=>92
[5,1,3,6,2,4,7]=>[1,5,2,3,4,6,7]=>8
[5,1,3,6,2,7,4]=>[1,5,2,3,4,6,7]=>8
[5,1,3,6,7,2,4]=>[1,5,7,4,6,2,3]=>330
[5,1,3,6,7,4,2]=>[1,5,7,2,3,4,6]=>92
[5,1,3,7,2,4,6]=>[1,5,2,3,4,7,6]=>16
[5,1,3,7,2,6,4]=>[1,5,2,3,4,7,6]=>16
[5,1,3,7,6,2,4]=>[1,5,6,2,3,4,7]=>46
[5,1,3,7,6,4,2]=>[1,5,6,4,7,2,3]=>252
[5,1,4,2,6,7,3]=>[1,5,6,7,3,4,2]=>330
[5,1,4,2,7,3,6]=>[1,5,7,6,3,4,2]=>408
[5,1,4,3,2,6,7]=>[1,5,2,3,4,6,7]=>8
[5,1,4,3,2,7,6]=>[1,5,2,3,4,6,7]=>8
[5,1,4,3,6,2,7]=>[1,5,6,2,3,4,7]=>46
[5,1,4,3,6,7,2]=>[1,5,6,7,2,3,4]=>230
[5,1,4,3,7,2,6]=>[1,5,7,6,2,3,4]=>276
[5,1,4,3,7,6,2]=>[1,5,7,2,3,4,6]=>92
[5,1,4,6,2,3,7]=>[1,5,2,3,4,6,7]=>8
[5,1,4,6,2,7,3]=>[1,5,2,3,4,6,7]=>8
[5,1,4,6,3,7,2]=>[1,5,3,4,6,7,2]=>72
[5,1,4,6,7,2,3]=>[1,5,7,3,4,6,2]=>234
[5,1,4,6,7,3,2]=>[1,5,7,2,3,4,6]=>92
[5,1,4,7,2,3,6]=>[1,5,2,3,4,7,6]=>16
[5,1,4,7,2,6,3]=>[1,5,2,3,4,7,6]=>16
[5,1,4,7,3,2,6]=>[1,5,3,4,7,6,2]=>108
[5,1,4,7,6,2,3]=>[1,5,6,2,3,4,7]=>46
[5,1,4,7,6,3,2]=>[1,5,6,3,4,7,2]=>156
[5,1,6,2,7,4,3]=>[1,5,7,3,6,4,2]=>312
[5,1,6,3,2,4,7]=>[1,5,2,3,6,4,7]=>16
[5,1,6,3,2,7,4]=>[1,5,2,3,6,7,4]=>32
[5,1,6,4,2,3,7]=>[1,5,2,3,6,4,7]=>16
[5,1,6,4,2,7,3]=>[1,5,2,3,6,7,4]=>32
[5,1,6,4,3,7,2]=>[1,5,3,6,7,2,4]=>138
[5,1,6,7,2,3,4]=>[1,5,2,3,6,4,7]=>16
[5,1,6,7,2,4,3]=>[1,5,2,3,6,4,7]=>16
[5,1,7,2,3,4,6]=>[1,5,3,7,6,4,2]=>216
[5,1,7,3,2,4,6]=>[1,5,2,3,7,6,4]=>48
[5,1,7,3,2,6,4]=>[1,5,2,3,7,4,6]=>32
[5,1,7,3,4,2,6]=>[1,5,4,3,7,6,2]=>144
[5,1,7,3,6,2,4]=>[1,5,6,2,3,7,4]=>92
[5,1,7,4,2,3,6]=>[1,5,2,3,7,6,4]=>48
[5,1,7,4,2,6,3]=>[1,5,2,3,7,4,6]=>32
[5,1,7,4,3,6,2]=>[1,5,3,7,2,4,6]=>84
[5,1,7,4,6,2,3]=>[1,5,6,2,3,7,4]=>92
[5,1,7,4,6,3,2]=>[1,5,6,3,7,2,4]=>198
[5,1,7,6,2,3,4]=>[1,5,2,3,7,4,6]=>32
[5,1,7,6,2,4,3]=>[1,5,2,3,7,4,6]=>32
[5,1,7,6,3,2,4]=>[1,5,3,7,4,6,2]=>162
[5,1,7,6,3,4,2]=>[1,5,3,7,2,4,6]=>84
[5,2,1,3,6,7,4]=>[1,5,6,7,4,3,2]=>384
[5,2,1,3,7,4,6]=>[1,5,7,6,4,3,2]=>480
[5,2,1,4,6,7,3]=>[1,5,6,7,3,2,4]=>276
[5,2,1,4,7,3,6]=>[1,5,7,6,3,2,4]=>336
[5,2,1,7,3,4,6]=>[1,5,3,2,4,7,6]=>24
[5,2,1,7,3,6,4]=>[1,5,3,2,4,7,6]=>24
[5,2,1,7,4,3,6]=>[1,5,4,7,6,3,2]=>288
[5,2,1,7,6,4,3]=>[1,5,6,4,7,3,2]=>288
[5,2,3,1,6,7,4]=>[1,5,6,7,4,2,3]=>330
[5,2,3,1,7,4,6]=>[1,5,7,6,4,2,3]=>408
[5,2,3,4,1,6,7]=>[1,5,2,3,4,6,7]=>8
[5,2,3,4,1,7,6]=>[1,5,2,3,4,6,7]=>8
[5,2,3,4,6,1,7]=>[1,5,6,2,3,4,7]=>46
[5,2,3,4,6,7,1]=>[1,5,6,7,2,3,4]=>230
[5,2,3,4,7,1,6]=>[1,5,7,6,2,3,4]=>276
[5,2,3,4,7,6,1]=>[1,5,7,2,3,4,6]=>92
[5,2,3,6,1,4,7]=>[1,5,2,3,4,6,7]=>8
[5,2,3,6,1,7,4]=>[1,5,2,3,4,6,7]=>8
[5,2,3,6,7,1,4]=>[1,5,7,4,6,2,3]=>330
[5,2,3,6,7,4,1]=>[1,5,7,2,3,4,6]=>92
[5,2,3,7,1,4,6]=>[1,5,2,3,4,7,6]=>16
[5,2,3,7,1,6,4]=>[1,5,2,3,4,7,6]=>16
[5,2,3,7,6,1,4]=>[1,5,6,2,3,4,7]=>46
[5,2,3,7,6,4,1]=>[1,5,6,4,7,2,3]=>252
[5,2,4,1,6,7,3]=>[1,5,6,7,3,4,2]=>330
[5,2,4,1,7,3,6]=>[1,5,7,6,3,4,2]=>408
[5,2,4,3,1,6,7]=>[1,5,2,3,4,6,7]=>8
[5,2,4,3,1,7,6]=>[1,5,2,3,4,6,7]=>8
[5,2,4,3,6,1,7]=>[1,5,6,2,3,4,7]=>46
[5,2,4,3,6,7,1]=>[1,5,6,7,2,3,4]=>230
[5,2,4,3,7,1,6]=>[1,5,7,6,2,3,4]=>276
[5,2,4,3,7,6,1]=>[1,5,7,2,3,4,6]=>92
[5,2,4,6,1,3,7]=>[1,5,2,3,4,6,7]=>8
[5,2,4,6,1,7,3]=>[1,5,2,3,4,6,7]=>8
[5,2,4,6,3,7,1]=>[1,5,3,4,6,7,2]=>72
[5,2,4,6,7,1,3]=>[1,5,7,3,4,6,2]=>234
[5,2,4,6,7,3,1]=>[1,5,7,2,3,4,6]=>92
[5,2,4,7,1,3,6]=>[1,5,2,3,4,7,6]=>16
[5,2,4,7,1,6,3]=>[1,5,2,3,4,7,6]=>16
[5,2,4,7,3,1,6]=>[1,5,3,4,7,6,2]=>108
[5,2,4,7,6,1,3]=>[1,5,6,2,3,4,7]=>46
[5,2,4,7,6,3,1]=>[1,5,6,3,4,7,2]=>156
[5,2,6,1,7,4,3]=>[1,5,7,3,6,4,2]=>312
[5,2,6,3,1,4,7]=>[1,5,2,3,6,4,7]=>16
[5,2,6,3,1,7,4]=>[1,5,2,3,6,7,4]=>32
[5,2,6,4,1,3,7]=>[1,5,2,3,6,4,7]=>16
[5,2,6,4,1,7,3]=>[1,5,2,3,6,7,4]=>32
[5,2,6,4,3,7,1]=>[1,5,3,6,7,2,4]=>138
[5,2,6,7,1,3,4]=>[1,5,2,3,6,4,7]=>16
[5,2,6,7,1,4,3]=>[1,5,2,3,6,4,7]=>16
[5,2,7,1,3,4,6]=>[1,5,3,7,6,4,2]=>216
[5,2,7,3,1,4,6]=>[1,5,2,3,7,6,4]=>48
[5,2,7,3,1,6,4]=>[1,5,2,3,7,4,6]=>32
[5,2,7,3,4,1,6]=>[1,5,4,3,7,6,2]=>144
[5,2,7,3,6,1,4]=>[1,5,6,2,3,7,4]=>92
[5,2,7,4,1,3,6]=>[1,5,2,3,7,6,4]=>48
[5,2,7,4,1,6,3]=>[1,5,2,3,7,4,6]=>32
[5,2,7,4,3,6,1]=>[1,5,3,7,2,4,6]=>84
[5,2,7,4,6,1,3]=>[1,5,6,2,3,7,4]=>92
[5,2,7,4,6,3,1]=>[1,5,6,3,7,2,4]=>198
[5,2,7,6,1,3,4]=>[1,5,2,3,7,4,6]=>32
[5,2,7,6,1,4,3]=>[1,5,2,3,7,4,6]=>32
[5,2,7,6,3,1,4]=>[1,5,3,7,4,6,2]=>162
[5,2,7,6,3,4,1]=>[1,5,3,7,2,4,6]=>84
[5,3,1,2,6,7,4]=>[1,5,6,7,4,2,3]=>330
[5,3,1,2,7,4,6]=>[1,5,7,6,4,2,3]=>408
[5,3,1,4,2,6,7]=>[1,5,2,3,4,6,7]=>8
[5,3,1,4,2,7,6]=>[1,5,2,3,4,6,7]=>8
[5,3,1,4,6,2,7]=>[1,5,6,2,3,4,7]=>46
[5,3,1,4,6,7,2]=>[1,5,6,7,2,3,4]=>230
[5,3,1,4,7,2,6]=>[1,5,7,6,2,3,4]=>276
[5,3,1,4,7,6,2]=>[1,5,7,2,3,4,6]=>92
[5,3,1,6,2,4,7]=>[1,5,2,3,4,6,7]=>8
[5,3,1,6,2,7,4]=>[1,5,2,3,4,6,7]=>8
[5,3,1,6,7,2,4]=>[1,5,7,4,6,2,3]=>330
[5,3,1,6,7,4,2]=>[1,5,7,2,3,4,6]=>92
[5,3,1,7,2,4,6]=>[1,5,2,3,4,7,6]=>16
[5,3,1,7,2,6,4]=>[1,5,2,3,4,7,6]=>16
[5,3,1,7,6,2,4]=>[1,5,6,2,3,4,7]=>46
[5,3,1,7,6,4,2]=>[1,5,6,4,7,2,3]=>252
[5,3,2,1,6,7,4]=>[1,5,6,7,4,2,3]=>330
[5,3,2,1,7,4,6]=>[1,5,7,6,4,2,3]=>408
[5,3,2,4,1,6,7]=>[1,5,2,3,4,6,7]=>8
[5,3,2,4,1,7,6]=>[1,5,2,3,4,6,7]=>8
[5,3,2,4,6,1,7]=>[1,5,6,2,3,4,7]=>46
[5,3,2,4,6,7,1]=>[1,5,6,7,2,3,4]=>230
[5,3,2,4,7,1,6]=>[1,5,7,6,2,3,4]=>276
[5,3,2,4,7,6,1]=>[1,5,7,2,3,4,6]=>92
[5,3,2,6,1,4,7]=>[1,5,2,3,4,6,7]=>8
[5,3,2,6,1,7,4]=>[1,5,2,3,4,6,7]=>8
[5,3,2,6,7,1,4]=>[1,5,7,4,6,2,3]=>330
[5,3,2,6,7,4,1]=>[1,5,7,2,3,4,6]=>92
[5,3,2,7,1,4,6]=>[1,5,2,3,4,7,6]=>16
[5,3,2,7,1,6,4]=>[1,5,2,3,4,7,6]=>16
[5,3,2,7,6,1,4]=>[1,5,6,2,3,4,7]=>46
[5,3,2,7,6,4,1]=>[1,5,6,4,7,2,3]=>252
[5,3,4,1,2,6,7]=>[1,5,2,3,4,6,7]=>8
[5,3,4,1,2,7,6]=>[1,5,2,3,4,6,7]=>8
[5,3,4,1,6,2,7]=>[1,5,6,2,3,4,7]=>46
[5,3,4,1,6,7,2]=>[1,5,6,7,2,3,4]=>230
[5,3,4,1,7,2,6]=>[1,5,7,6,2,3,4]=>276
[5,3,4,1,7,6,2]=>[1,5,7,2,3,4,6]=>92
[5,3,4,2,1,6,7]=>[1,5,2,3,4,6,7]=>8
[5,3,4,2,1,7,6]=>[1,5,2,3,4,6,7]=>8
[5,3,4,2,6,1,7]=>[1,5,6,2,3,4,7]=>46
[5,3,4,2,6,7,1]=>[1,5,6,7,2,3,4]=>230
[5,3,4,2,7,1,6]=>[1,5,7,6,2,3,4]=>276
[5,3,4,2,7,6,1]=>[1,5,7,2,3,4,6]=>92
[5,3,4,6,1,2,7]=>[1,5,2,3,4,6,7]=>8
[5,3,4,6,1,7,2]=>[1,5,2,3,4,6,7]=>8
[5,3,4,6,2,1,7]=>[1,5,2,3,4,6,7]=>8
[5,3,4,6,2,7,1]=>[1,5,2,3,4,6,7]=>8
[5,3,4,6,7,1,2]=>[1,5,7,2,3,4,6]=>92
[5,3,4,6,7,2,1]=>[1,5,7,2,3,4,6]=>92
[5,3,4,7,1,2,6]=>[1,5,2,3,4,7,6]=>16
[5,3,4,7,1,6,2]=>[1,5,2,3,4,7,6]=>16
[5,3,4,7,2,1,6]=>[1,5,2,3,4,7,6]=>16
[5,3,4,7,2,6,1]=>[1,5,2,3,4,7,6]=>16
[5,3,4,7,6,1,2]=>[1,5,6,2,3,4,7]=>46
[5,3,4,7,6,2,1]=>[1,5,6,2,3,4,7]=>46
[5,3,6,1,2,4,7]=>[1,5,2,3,6,4,7]=>16
[5,3,6,1,2,7,4]=>[1,5,2,3,6,7,4]=>32
[5,3,6,2,1,4,7]=>[1,5,2,3,6,4,7]=>16
[5,3,6,2,1,7,4]=>[1,5,2,3,6,7,4]=>32
[5,3,6,4,1,2,7]=>[1,5,2,3,6,4,7]=>16
[5,3,6,4,1,7,2]=>[1,5,2,3,6,7,4]=>32
[5,3,6,4,2,1,7]=>[1,5,2,3,6,4,7]=>16
[5,3,6,4,2,7,1]=>[1,5,2,3,6,7,4]=>32
[5,3,6,7,1,2,4]=>[1,5,2,3,6,4,7]=>16
[5,3,6,7,1,4,2]=>[1,5,2,3,6,4,7]=>16
[5,3,6,7,2,1,4]=>[1,5,2,3,6,4,7]=>16
[5,3,6,7,2,4,1]=>[1,5,2,3,6,4,7]=>16
[5,3,7,1,2,4,6]=>[1,5,2,3,7,6,4]=>48
[5,3,7,1,2,6,4]=>[1,5,2,3,7,4,6]=>32
[5,3,7,1,6,2,4]=>[1,5,6,2,3,7,4]=>92
[5,3,7,2,1,4,6]=>[1,5,2,3,7,6,4]=>48
[5,3,7,2,1,6,4]=>[1,5,2,3,7,4,6]=>32
[5,3,7,2,6,1,4]=>[1,5,6,2,3,7,4]=>92
[5,3,7,4,1,2,6]=>[1,5,2,3,7,6,4]=>48
[5,3,7,4,1,6,2]=>[1,5,2,3,7,4,6]=>32
[5,3,7,4,2,1,6]=>[1,5,2,3,7,6,4]=>48
[5,3,7,4,2,6,1]=>[1,5,2,3,7,4,6]=>32
[5,3,7,4,6,1,2]=>[1,5,6,2,3,7,4]=>92
[5,3,7,4,6,2,1]=>[1,5,6,2,3,7,4]=>92
[5,3,7,6,1,2,4]=>[1,5,2,3,7,4,6]=>32
[5,3,7,6,1,4,2]=>[1,5,2,3,7,4,6]=>32
[5,3,7,6,2,1,4]=>[1,5,2,3,7,4,6]=>32
[5,3,7,6,2,4,1]=>[1,5,2,3,7,4,6]=>32
[5,4,1,2,6,7,3]=>[1,5,6,7,3,2,4]=>276
[5,4,1,2,7,3,6]=>[1,5,7,6,3,2,4]=>336
[5,4,1,3,6,7,2]=>[1,5,6,7,2,4,3]=>276
[5,4,1,3,7,2,6]=>[1,5,7,6,2,4,3]=>336
[5,4,1,6,2,7,3]=>[1,5,2,4,6,7,3]=>48
[5,4,1,7,2,3,6]=>[1,5,2,4,7,6,3]=>72
[5,4,1,7,3,2,6]=>[1,5,3,2,4,7,6]=>24
[5,4,1,7,3,6,2]=>[1,5,3,2,4,7,6]=>24
[5,4,1,7,6,2,3]=>[1,5,6,2,4,7,3]=>120
[5,4,2,1,6,7,3]=>[1,5,6,7,3,2,4]=>276
[5,4,2,1,7,3,6]=>[1,5,7,6,3,2,4]=>336
[5,4,2,3,6,7,1]=>[1,5,6,7,2,4,3]=>276
[5,4,2,3,7,1,6]=>[1,5,7,6,2,4,3]=>336
[5,4,2,6,1,7,3]=>[1,5,2,4,6,7,3]=>48
[5,4,2,7,1,3,6]=>[1,5,2,4,7,6,3]=>72
[5,4,2,7,3,1,6]=>[1,5,3,2,4,7,6]=>24
[5,4,2,7,3,6,1]=>[1,5,3,2,4,7,6]=>24
[5,4,2,7,6,1,3]=>[1,5,6,2,4,7,3]=>120
[5,4,3,1,6,7,2]=>[1,5,6,7,2,4,3]=>276
[5,4,3,1,7,2,6]=>[1,5,7,6,2,4,3]=>336
[5,4,3,2,6,7,1]=>[1,5,6,7,2,4,3]=>276
[5,4,3,2,7,1,6]=>[1,5,7,6,2,4,3]=>336
[5,4,3,6,1,7,2]=>[1,5,2,4,6,7,3]=>48
[5,4,3,6,2,7,1]=>[1,5,2,4,6,7,3]=>48
[5,4,3,7,1,2,6]=>[1,5,2,4,7,6,3]=>72
[5,4,3,7,2,1,6]=>[1,5,2,4,7,6,3]=>72
[5,4,3,7,6,1,2]=>[1,5,6,2,4,7,3]=>120
[5,4,3,7,6,2,1]=>[1,5,6,2,4,7,3]=>120
[5,4,6,1,3,7,2]=>[1,5,3,6,7,2,4]=>138
[5,4,6,2,3,7,1]=>[1,5,3,6,7,2,4]=>138
[5,4,7,1,3,6,2]=>[1,5,3,7,2,4,6]=>84
[5,4,7,1,6,3,2]=>[1,5,6,3,7,2,4]=>198
[5,4,7,2,3,6,1]=>[1,5,3,7,2,4,6]=>84
[5,4,7,2,6,3,1]=>[1,5,6,3,7,2,4]=>198
[5,4,7,6,3,1,2]=>[1,5,3,7,2,4,6]=>84
[5,4,7,6,3,2,1]=>[1,5,3,7,2,4,6]=>84
[5,6,1,2,3,7,4]=>[1,5,3,2,6,7,4]=>48
[5,6,1,2,7,3,4]=>[1,5,7,4,2,6,3]=>234
[5,6,1,2,7,4,3]=>[1,5,7,3,2,6,4]=>180
[5,6,1,3,2,7,4]=>[1,5,2,6,7,4,3]=>108
[5,6,1,3,7,4,2]=>[1,5,7,2,6,4,3]=>240
[5,6,1,4,2,3,7]=>[1,5,2,6,3,4,7]=>28
[5,6,1,4,2,7,3]=>[1,5,2,6,7,3,4]=>92
[5,6,1,4,3,7,2]=>[1,5,3,2,6,7,4]=>48
[5,6,1,4,7,2,3]=>[1,5,7,3,2,6,4]=>180
[5,6,1,7,2,3,4]=>[1,5,2,6,3,4,7]=>28
[5,6,1,7,4,3,2]=>[1,5,4,7,2,6,3]=>180
[5,6,2,1,3,7,4]=>[1,5,3,2,6,7,4]=>48
[5,6,2,1,7,3,4]=>[1,5,7,4,2,6,3]=>234
[5,6,2,1,7,4,3]=>[1,5,7,3,2,6,4]=>180
[5,6,2,3,1,7,4]=>[1,5,2,6,7,4,3]=>108
[5,6,2,3,7,4,1]=>[1,5,7,2,6,4,3]=>240
[5,6,2,4,1,3,7]=>[1,5,2,6,3,4,7]=>28
[5,6,2,4,1,7,3]=>[1,5,2,6,7,3,4]=>92
[5,6,2,4,3,7,1]=>[1,5,3,2,6,7,4]=>48
[5,6,2,4,7,1,3]=>[1,5,7,3,2,6,4]=>180
[5,6,2,7,1,3,4]=>[1,5,2,6,3,4,7]=>28
[5,6,2,7,4,3,1]=>[1,5,4,7,2,6,3]=>180
[5,6,3,1,2,7,4]=>[1,5,2,6,7,4,3]=>108
[5,6,3,1,7,2,4]=>[1,5,7,4,2,6,3]=>234
[5,6,3,1,7,4,2]=>[1,5,7,2,6,4,3]=>240
[5,6,3,2,1,7,4]=>[1,5,2,6,7,4,3]=>108
[5,6,3,2,7,1,4]=>[1,5,7,4,2,6,3]=>234
[5,6,3,2,7,4,1]=>[1,5,7,2,6,4,3]=>240
[5,6,3,4,1,2,7]=>[1,5,2,6,3,4,7]=>28
[5,6,3,4,1,7,2]=>[1,5,2,6,7,3,4]=>92
[5,6,3,4,2,1,7]=>[1,5,2,6,3,4,7]=>28
[5,6,3,4,2,7,1]=>[1,5,2,6,7,3,4]=>92
[5,6,3,7,1,2,4]=>[1,5,2,6,3,4,7]=>28
[5,6,3,7,2,1,4]=>[1,5,2,6,3,4,7]=>28
[5,6,3,7,4,1,2]=>[1,5,4,7,2,6,3]=>180
[5,6,3,7,4,2,1]=>[1,5,4,7,2,6,3]=>180
[5,6,4,1,2,3,7]=>[1,5,2,6,3,4,7]=>28
[5,6,4,1,2,7,3]=>[1,5,2,6,7,3,4]=>92
[5,6,4,2,1,3,7]=>[1,5,2,6,3,4,7]=>28
[5,6,4,2,1,7,3]=>[1,5,2,6,7,3,4]=>92
[5,6,4,3,1,2,7]=>[1,5,2,6,3,4,7]=>28
[5,6,4,3,1,7,2]=>[1,5,2,6,7,3,4]=>92
[5,6,4,3,2,1,7]=>[1,5,2,6,3,4,7]=>28
[5,6,4,3,2,7,1]=>[1,5,2,6,7,3,4]=>92
[5,6,4,7,1,2,3]=>[1,5,2,6,3,4,7]=>28
[5,6,4,7,1,3,2]=>[1,5,2,6,3,4,7]=>28
[5,6,4,7,2,1,3]=>[1,5,2,6,3,4,7]=>28
[5,6,4,7,2,3,1]=>[1,5,2,6,3,4,7]=>28
[5,6,7,1,2,3,4]=>[1,5,2,6,3,7,4]=>56
[5,6,7,1,3,4,2]=>[1,5,3,7,2,6,4]=>126
[5,6,7,2,1,3,4]=>[1,5,2,6,3,7,4]=>56
[5,6,7,2,3,4,1]=>[1,5,3,7,2,6,4]=>126
[5,6,7,3,1,2,4]=>[1,5,2,6,3,7,4]=>56
[5,6,7,3,2,1,4]=>[1,5,2,6,3,7,4]=>56
[5,6,7,4,1,2,3]=>[1,5,2,6,3,7,4]=>56
[5,6,7,4,1,3,2]=>[1,5,2,6,3,7,4]=>56
[5,6,7,4,2,1,3]=>[1,5,2,6,3,7,4]=>56
[5,6,7,4,2,3,1]=>[1,5,2,6,3,7,4]=>56
[5,6,7,4,3,1,2]=>[1,5,3,7,2,6,4]=>126
[5,6,7,4,3,2,1]=>[1,5,3,7,2,6,4]=>126
[5,7,1,2,3,4,6]=>[1,5,3,2,7,6,4]=>72
[5,7,1,2,4,3,6]=>[1,5,4,2,7,6,3]=>108
[5,7,1,2,6,3,4]=>[1,5,6,3,2,7,4]=>120
[5,7,1,3,2,4,6]=>[1,5,2,7,6,4,3]=>144
[5,7,1,3,4,2,6]=>[1,5,4,3,2,7,6]=>48
[5,7,1,3,4,6,2]=>[1,5,4,3,2,7,6]=>48
[5,7,1,4,2,6,3]=>[1,5,2,7,3,4,6]=>56
[5,7,1,4,3,2,6]=>[1,5,3,2,7,6,4]=>72
[5,7,1,4,6,2,3]=>[1,5,6,2,7,3,4]=>152
[5,7,1,4,6,3,2]=>[1,5,6,3,2,7,4]=>120
[5,7,1,6,2,3,4]=>[1,5,2,7,4,6,3]=>108
[5,7,1,6,2,4,3]=>[1,5,2,7,3,4,6]=>56
[5,7,2,1,3,4,6]=>[1,5,3,2,7,6,4]=>72
[5,7,2,1,4,3,6]=>[1,5,4,2,7,6,3]=>108
[5,7,2,1,6,3,4]=>[1,5,6,3,2,7,4]=>120
[5,7,2,3,1,4,6]=>[1,5,2,7,6,4,3]=>144
[5,7,2,3,4,1,6]=>[1,5,4,3,2,7,6]=>48
[5,7,2,3,4,6,1]=>[1,5,4,3,2,7,6]=>48
[5,7,2,4,1,6,3]=>[1,5,2,7,3,4,6]=>56
[5,7,2,4,3,1,6]=>[1,5,3,2,7,6,4]=>72
[5,7,2,4,6,1,3]=>[1,5,6,2,7,3,4]=>152
[5,7,2,4,6,3,1]=>[1,5,6,3,2,7,4]=>120
[5,7,2,6,1,3,4]=>[1,5,2,7,4,6,3]=>108
[5,7,2,6,1,4,3]=>[1,5,2,7,3,4,6]=>56
[5,7,3,1,2,4,6]=>[1,5,2,7,6,4,3]=>144
[5,7,3,1,4,2,6]=>[1,5,4,2,7,6,3]=>108
[5,7,3,2,1,4,6]=>[1,5,2,7,6,4,3]=>144
[5,7,3,2,4,1,6]=>[1,5,4,2,7,6,3]=>108
[5,7,3,4,1,6,2]=>[1,5,2,7,3,4,6]=>56
[5,7,3,4,2,6,1]=>[1,5,2,7,3,4,6]=>56
[5,7,3,4,6,1,2]=>[1,5,6,2,7,3,4]=>152
[5,7,3,4,6,2,1]=>[1,5,6,2,7,3,4]=>152
[5,7,3,6,1,2,4]=>[1,5,2,7,4,6,3]=>108
[5,7,3,6,1,4,2]=>[1,5,2,7,3,4,6]=>56
[5,7,3,6,2,1,4]=>[1,5,2,7,4,6,3]=>108
[5,7,3,6,2,4,1]=>[1,5,2,7,3,4,6]=>56
[5,7,4,1,2,6,3]=>[1,5,2,7,3,4,6]=>56
[5,7,4,1,3,2,6]=>[1,5,3,4,2,7,6]=>36
[5,7,4,1,3,6,2]=>[1,5,3,4,2,7,6]=>36
[5,7,4,1,6,2,3]=>[1,5,6,2,7,3,4]=>152
[5,7,4,2,1,6,3]=>[1,5,2,7,3,4,6]=>56
[5,7,4,2,3,1,6]=>[1,5,3,4,2,7,6]=>36
[5,7,4,2,3,6,1]=>[1,5,3,4,2,7,6]=>36
[5,7,4,2,6,1,3]=>[1,5,6,2,7,3,4]=>152
[5,7,4,3,1,6,2]=>[1,5,2,7,3,4,6]=>56
[5,7,4,3,2,6,1]=>[1,5,2,7,3,4,6]=>56
[5,7,4,3,6,1,2]=>[1,5,6,2,7,3,4]=>152
[5,7,4,3,6,2,1]=>[1,5,6,2,7,3,4]=>152
[5,7,4,6,1,2,3]=>[1,5,2,7,3,4,6]=>56
[5,7,4,6,1,3,2]=>[1,5,2,7,3,4,6]=>56
[5,7,4,6,2,1,3]=>[1,5,2,7,3,4,6]=>56
[5,7,4,6,2,3,1]=>[1,5,2,7,3,4,6]=>56
[5,7,6,1,2,4,3]=>[1,5,2,7,3,6,4]=>84
[5,7,6,2,1,4,3]=>[1,5,2,7,3,6,4]=>84
[5,7,6,3,1,4,2]=>[1,5,2,7,3,6,4]=>84
[5,7,6,3,2,4,1]=>[1,5,2,7,3,6,4]=>84
[5,7,6,4,1,2,3]=>[1,5,2,7,3,6,4]=>84
[5,7,6,4,1,3,2]=>[1,5,2,7,3,6,4]=>84
[5,7,6,4,2,1,3]=>[1,5,2,7,3,6,4]=>84
[5,7,6,4,2,3,1]=>[1,5,2,7,3,6,4]=>84
[6,1,2,3,4,7,5]=>[1,6,7,5,4,3,2]=>600
[6,1,2,3,5,7,4]=>[1,6,7,4,3,2,5]=>312
[6,1,2,3,7,5,4]=>[1,6,5,7,4,3,2]=>480
[6,1,2,4,3,7,5]=>[1,6,7,5,3,2,4]=>408
[6,1,2,4,5,7,3]=>[1,6,7,3,2,4,5]=>192
[6,1,2,5,3,7,4]=>[1,6,7,4,5,3,2]=>504
[6,1,2,5,4,7,3]=>[1,6,7,3,2,4,5]=>192
[6,1,2,7,4,3,5]=>[1,6,3,2,4,7,5]=>48
[6,1,2,7,4,5,3]=>[1,6,5,4,7,3,2]=>360
[6,1,2,7,5,3,4]=>[1,6,3,2,4,7,5]=>48
[6,1,3,2,4,7,5]=>[1,6,7,5,4,2,3]=>504
[6,1,3,2,5,7,4]=>[1,6,7,4,2,3,5]=>252
[6,1,3,4,2,7,5]=>[1,6,7,5,2,3,4]=>330
[6,1,3,4,5,2,7]=>[1,6,2,3,4,5,7]=>16
[6,1,3,4,5,7,2]=>[1,6,7,2,3,4,5]=>146
[6,1,3,4,7,2,5]=>[1,6,2,3,4,5,7]=>16
[6,1,3,5,2,7,4]=>[1,6,7,4,5,2,3]=>426
[6,1,3,5,4,2,7]=>[1,6,2,3,4,5,7]=>16
[6,1,3,5,4,7,2]=>[1,6,7,2,3,4,5]=>146
[6,1,3,5,7,2,4]=>[1,6,2,3,4,5,7]=>16
[6,1,3,7,4,2,5]=>[1,6,2,3,4,7,5]=>32
[6,1,3,7,5,2,4]=>[1,6,2,3,4,7,5]=>32
[6,1,4,2,3,7,5]=>[1,6,7,5,3,4,2]=>504
[6,1,4,2,5,7,3]=>[1,6,7,3,4,2,5]=>252
[6,1,4,3,2,7,5]=>[1,6,7,5,2,3,4]=>330
[6,1,4,3,5,2,7]=>[1,6,2,3,4,5,7]=>16
[6,1,4,3,5,7,2]=>[1,6,7,2,3,4,5]=>146
[6,1,4,3,7,2,5]=>[1,6,2,3,4,5,7]=>16
[6,1,4,5,2,7,3]=>[1,6,7,3,4,5,2]=>330
[6,1,4,5,3,2,7]=>[1,6,2,3,4,5,7]=>16
[6,1,4,5,3,7,2]=>[1,6,7,2,3,4,5]=>146
[6,1,4,5,7,2,3]=>[1,6,2,3,4,5,7]=>16
[6,1,4,5,7,3,2]=>[1,6,3,4,5,7,2]=>108
[6,1,4,7,3,2,5]=>[1,6,2,3,4,7,5]=>32
[6,1,4,7,5,2,3]=>[1,6,2,3,4,7,5]=>32
[6,1,4,7,5,3,2]=>[1,6,3,4,7,2,5]=>126
[6,1,5,2,3,7,4]=>[1,6,7,4,2,3,5]=>252
[6,1,5,3,7,2,4]=>[1,6,2,3,5,7,4]=>48
[6,1,5,4,2,7,3]=>[1,6,7,3,5,2,4]=>330
[6,1,5,4,7,2,3]=>[1,6,2,3,5,7,4]=>48
[6,1,7,2,3,4,5]=>[1,6,4,2,3,7,5]=>72
[6,1,7,2,5,3,4]=>[1,6,3,7,4,2,5]=>180
[6,1,7,2,5,4,3]=>[1,6,4,2,3,7,5]=>72
[6,1,7,3,4,2,5]=>[1,6,2,3,7,5,4]=>72
[6,1,7,3,4,5,2]=>[1,6,5,4,3,7,2]=>240
[6,1,7,3,5,2,4]=>[1,6,2,3,7,4,5]=>56
[6,1,7,4,2,3,5]=>[1,6,3,7,5,2,4]=>234
[6,1,7,4,3,2,5]=>[1,6,2,3,7,5,4]=>72
[6,1,7,4,5,2,3]=>[1,6,2,3,7,4,5]=>56
[6,1,7,4,5,3,2]=>[1,6,3,7,2,4,5]=>138
[6,1,7,5,2,3,4]=>[1,6,3,7,4,5,2]=>234
[6,1,7,5,3,2,4]=>[1,6,2,3,7,4,5]=>56
[6,1,7,5,4,2,3]=>[1,6,2,3,7,4,5]=>56
[6,1,7,5,4,3,2]=>[1,6,3,7,2,4,5]=>138
[6,2,1,3,4,7,5]=>[1,6,7,5,4,3,2]=>600
[6,2,1,3,5,7,4]=>[1,6,7,4,3,2,5]=>312
[6,2,1,3,7,5,4]=>[1,6,5,7,4,3,2]=>480
[6,2,1,4,3,7,5]=>[1,6,7,5,3,2,4]=>408
[6,2,1,4,5,7,3]=>[1,6,7,3,2,4,5]=>192
[6,2,1,5,3,7,4]=>[1,6,7,4,5,3,2]=>504
[6,2,1,5,4,7,3]=>[1,6,7,3,2,4,5]=>192
[6,2,1,7,4,3,5]=>[1,6,3,2,4,7,5]=>48
[6,2,1,7,4,5,3]=>[1,6,5,4,7,3,2]=>360
[6,2,1,7,5,3,4]=>[1,6,3,2,4,7,5]=>48
[6,2,3,1,4,7,5]=>[1,6,7,5,4,2,3]=>504
[6,2,3,1,5,7,4]=>[1,6,7,4,2,3,5]=>252
[6,2,3,4,1,7,5]=>[1,6,7,5,2,3,4]=>330
[6,2,3,4,5,1,7]=>[1,6,2,3,4,5,7]=>16
[6,2,3,4,5,7,1]=>[1,6,7,2,3,4,5]=>146
[6,2,3,4,7,1,5]=>[1,6,2,3,4,5,7]=>16
[6,2,3,5,1,7,4]=>[1,6,7,4,5,2,3]=>426
[6,2,3,5,4,1,7]=>[1,6,2,3,4,5,7]=>16
[6,2,3,5,4,7,1]=>[1,6,7,2,3,4,5]=>146
[6,2,3,5,7,1,4]=>[1,6,2,3,4,5,7]=>16
[6,2,3,7,4,1,5]=>[1,6,2,3,4,7,5]=>32
[6,2,3,7,5,1,4]=>[1,6,2,3,4,7,5]=>32
[6,2,4,1,3,7,5]=>[1,6,7,5,3,4,2]=>504
[6,2,4,1,5,7,3]=>[1,6,7,3,4,2,5]=>252
[6,2,4,3,1,7,5]=>[1,6,7,5,2,3,4]=>330
[6,2,4,3,5,1,7]=>[1,6,2,3,4,5,7]=>16
[6,2,4,3,5,7,1]=>[1,6,7,2,3,4,5]=>146
[6,2,4,3,7,1,5]=>[1,6,2,3,4,5,7]=>16
[6,2,4,5,1,7,3]=>[1,6,7,3,4,5,2]=>330
[6,2,4,5,3,1,7]=>[1,6,2,3,4,5,7]=>16
[6,2,4,5,3,7,1]=>[1,6,7,2,3,4,5]=>146
[6,2,4,5,7,1,3]=>[1,6,2,3,4,5,7]=>16
[6,2,4,5,7,3,1]=>[1,6,3,4,5,7,2]=>108
[6,2,4,7,3,1,5]=>[1,6,2,3,4,7,5]=>32
[6,2,4,7,5,1,3]=>[1,6,2,3,4,7,5]=>32
[6,2,4,7,5,3,1]=>[1,6,3,4,7,2,5]=>126
[6,2,5,1,3,7,4]=>[1,6,7,4,2,3,5]=>252
[6,2,5,3,7,1,4]=>[1,6,2,3,5,7,4]=>48
[6,2,5,4,1,7,3]=>[1,6,7,3,5,2,4]=>330
[6,2,5,4,7,1,3]=>[1,6,2,3,5,7,4]=>48
[6,2,7,1,3,4,5]=>[1,6,4,2,3,7,5]=>72
[6,2,7,1,5,3,4]=>[1,6,3,7,4,2,5]=>180
[6,2,7,1,5,4,3]=>[1,6,4,2,3,7,5]=>72
[6,2,7,3,4,1,5]=>[1,6,2,3,7,5,4]=>72
[6,2,7,3,4,5,1]=>[1,6,5,4,3,7,2]=>240
[6,2,7,3,5,1,4]=>[1,6,2,3,7,4,5]=>56
[6,2,7,4,1,3,5]=>[1,6,3,7,5,2,4]=>234
[6,2,7,4,3,1,5]=>[1,6,2,3,7,5,4]=>72
[6,2,7,4,5,1,3]=>[1,6,2,3,7,4,5]=>56
[6,2,7,4,5,3,1]=>[1,6,3,7,2,4,5]=>138
[6,2,7,5,1,3,4]=>[1,6,3,7,4,5,2]=>234
[6,2,7,5,3,1,4]=>[1,6,2,3,7,4,5]=>56
[6,2,7,5,4,1,3]=>[1,6,2,3,7,4,5]=>56
[6,2,7,5,4,3,1]=>[1,6,3,7,2,4,5]=>138
[6,3,1,2,4,7,5]=>[1,6,7,5,4,2,3]=>504
[6,3,1,2,5,7,4]=>[1,6,7,4,2,3,5]=>252
[6,3,1,4,2,7,5]=>[1,6,7,5,2,3,4]=>330
[6,3,1,4,5,2,7]=>[1,6,2,3,4,5,7]=>16
[6,3,1,4,5,7,2]=>[1,6,7,2,3,4,5]=>146
[6,3,1,4,7,2,5]=>[1,6,2,3,4,5,7]=>16
[6,3,1,5,2,7,4]=>[1,6,7,4,5,2,3]=>426
[6,3,1,5,4,2,7]=>[1,6,2,3,4,5,7]=>16
[6,3,1,5,4,7,2]=>[1,6,7,2,3,4,5]=>146
[6,3,1,5,7,2,4]=>[1,6,2,3,4,5,7]=>16
[6,3,1,7,4,2,5]=>[1,6,2,3,4,7,5]=>32
[6,3,1,7,5,2,4]=>[1,6,2,3,4,7,5]=>32
[6,3,2,1,4,7,5]=>[1,6,7,5,4,2,3]=>504
[6,3,2,1,5,7,4]=>[1,6,7,4,2,3,5]=>252
[6,3,2,4,1,7,5]=>[1,6,7,5,2,3,4]=>330
[6,3,2,4,5,1,7]=>[1,6,2,3,4,5,7]=>16
[6,3,2,4,5,7,1]=>[1,6,7,2,3,4,5]=>146
[6,3,2,4,7,1,5]=>[1,6,2,3,4,5,7]=>16
[6,3,2,5,1,7,4]=>[1,6,7,4,5,2,3]=>426
[6,3,2,5,4,1,7]=>[1,6,2,3,4,5,7]=>16
[6,3,2,5,4,7,1]=>[1,6,7,2,3,4,5]=>146
[6,3,2,5,7,1,4]=>[1,6,2,3,4,5,7]=>16
[6,3,2,7,4,1,5]=>[1,6,2,3,4,7,5]=>32
[6,3,2,7,5,1,4]=>[1,6,2,3,4,7,5]=>32
[6,3,4,1,2,7,5]=>[1,6,7,5,2,3,4]=>330
[6,3,4,1,5,2,7]=>[1,6,2,3,4,5,7]=>16
[6,3,4,1,5,7,2]=>[1,6,7,2,3,4,5]=>146
[6,3,4,1,7,2,5]=>[1,6,2,3,4,5,7]=>16
[6,3,4,2,1,7,5]=>[1,6,7,5,2,3,4]=>330
[6,3,4,2,5,1,7]=>[1,6,2,3,4,5,7]=>16
[6,3,4,2,5,7,1]=>[1,6,7,2,3,4,5]=>146
[6,3,4,2,7,1,5]=>[1,6,2,3,4,5,7]=>16
[6,3,4,5,1,2,7]=>[1,6,2,3,4,5,7]=>16
[6,3,4,5,1,7,2]=>[1,6,7,2,3,4,5]=>146
[6,3,4,5,2,1,7]=>[1,6,2,3,4,5,7]=>16
[6,3,4,5,2,7,1]=>[1,6,7,2,3,4,5]=>146
[6,3,4,5,7,1,2]=>[1,6,2,3,4,5,7]=>16
[6,3,4,5,7,2,1]=>[1,6,2,3,4,5,7]=>16
[6,3,4,7,1,2,5]=>[1,6,2,3,4,7,5]=>32
[6,3,4,7,2,1,5]=>[1,6,2,3,4,7,5]=>32
[6,3,4,7,5,1,2]=>[1,6,2,3,4,7,5]=>32
[6,3,4,7,5,2,1]=>[1,6,2,3,4,7,5]=>32
[6,3,5,1,2,7,4]=>[1,6,7,4,2,3,5]=>252
[6,3,5,1,7,2,4]=>[1,6,2,3,5,7,4]=>48
[6,3,5,2,1,7,4]=>[1,6,7,4,2,3,5]=>252
[6,3,5,2,7,1,4]=>[1,6,2,3,5,7,4]=>48
[6,3,5,4,7,1,2]=>[1,6,2,3,5,7,4]=>48
[6,3,5,4,7,2,1]=>[1,6,2,3,5,7,4]=>48
[6,3,7,1,2,4,5]=>[1,6,4,2,3,7,5]=>72
[6,3,7,1,4,2,5]=>[1,6,2,3,7,5,4]=>72
[6,3,7,1,5,2,4]=>[1,6,2,3,7,4,5]=>56
[6,3,7,1,5,4,2]=>[1,6,4,2,3,7,5]=>72
[6,3,7,2,1,4,5]=>[1,6,4,2,3,7,5]=>72
[6,3,7,2,4,1,5]=>[1,6,2,3,7,5,4]=>72
[6,3,7,2,5,1,4]=>[1,6,2,3,7,4,5]=>56
[6,3,7,2,5,4,1]=>[1,6,4,2,3,7,5]=>72
[6,3,7,4,1,2,5]=>[1,6,2,3,7,5,4]=>72
[6,3,7,4,2,1,5]=>[1,6,2,3,7,5,4]=>72
[6,3,7,4,5,1,2]=>[1,6,2,3,7,4,5]=>56
[6,3,7,4,5,2,1]=>[1,6,2,3,7,4,5]=>56
[6,3,7,5,1,2,4]=>[1,6,2,3,7,4,5]=>56
[6,3,7,5,2,1,4]=>[1,6,2,3,7,4,5]=>56
[6,3,7,5,4,1,2]=>[1,6,2,3,7,4,5]=>56
[6,3,7,5,4,2,1]=>[1,6,2,3,7,4,5]=>56
[6,4,1,2,3,7,5]=>[1,6,7,5,3,2,4]=>408
[6,4,1,2,5,7,3]=>[1,6,7,3,2,4,5]=>192
[6,4,1,5,2,7,3]=>[1,6,7,3,2,4,5]=>192
[6,4,1,7,2,3,5]=>[1,6,3,2,4,7,5]=>48
[6,4,1,7,3,2,5]=>[1,6,2,4,7,5,3]=>108
[6,4,1,7,5,3,2]=>[1,6,3,2,4,7,5]=>48
[6,4,2,1,3,7,5]=>[1,6,7,5,3,2,4]=>408
[6,4,2,1,5,7,3]=>[1,6,7,3,2,4,5]=>192
[6,4,2,5,1,7,3]=>[1,6,7,3,2,4,5]=>192
[6,4,2,7,1,3,5]=>[1,6,3,2,4,7,5]=>48
[6,4,2,7,3,1,5]=>[1,6,2,4,7,5,3]=>108
[6,4,2,7,5,3,1]=>[1,6,3,2,4,7,5]=>48
[6,4,3,7,1,2,5]=>[1,6,2,4,7,5,3]=>108
[6,4,3,7,2,1,5]=>[1,6,2,4,7,5,3]=>108
[6,4,5,1,2,7,3]=>[1,6,7,3,5,2,4]=>330
[6,4,5,2,1,7,3]=>[1,6,7,3,5,2,4]=>330
[6,4,7,1,2,3,5]=>[1,6,3,7,5,2,4]=>234
[6,4,7,1,5,3,2]=>[1,6,3,7,2,4,5]=>138
[6,4,7,2,1,3,5]=>[1,6,3,7,5,2,4]=>234
[6,4,7,2,5,3,1]=>[1,6,3,7,2,4,5]=>138
[6,4,7,5,1,3,2]=>[1,6,3,7,2,4,5]=>138
[6,4,7,5,2,3,1]=>[1,6,3,7,2,4,5]=>138
[6,5,1,2,7,3,4]=>[1,6,3,2,5,7,4]=>72
[6,5,1,3,2,7,4]=>[1,6,7,4,3,2,5]=>312
[6,5,1,4,7,3,2]=>[1,6,3,2,5,7,4]=>72
[6,5,2,1,7,3,4]=>[1,6,3,2,5,7,4]=>72
[6,5,2,3,1,7,4]=>[1,6,7,4,3,2,5]=>312
[6,5,2,4,7,3,1]=>[1,6,3,2,5,7,4]=>72
[6,5,4,1,2,7,3]=>[1,6,7,3,4,2,5]=>252
[6,5,4,2,1,7,3]=>[1,6,7,3,4,2,5]=>252
[6,5,4,7,1,3,2]=>[1,6,3,4,7,2,5]=>126
[6,5,4,7,2,3,1]=>[1,6,3,4,7,2,5]=>126
[6,5,7,1,2,3,4]=>[1,6,3,7,4,2,5]=>180
[6,5,7,1,4,3,2]=>[1,6,3,7,2,5,4]=>180
[6,5,7,2,1,3,4]=>[1,6,3,7,4,2,5]=>180
[6,5,7,2,4,3,1]=>[1,6,3,7,2,5,4]=>180
[6,5,7,4,1,3,2]=>[1,6,3,7,2,5,4]=>180
[6,5,7,4,2,3,1]=>[1,6,3,7,2,5,4]=>180
[6,7,1,2,4,3,5]=>[1,6,3,2,7,5,4]=>108
[6,7,1,2,5,3,4]=>[1,6,3,2,7,4,5]=>84
[6,7,1,3,4,2,5]=>[1,6,2,7,5,4,3]=>192
[6,7,1,4,2,3,5]=>[1,6,3,2,7,5,4]=>108
[6,7,1,4,5,2,3]=>[1,6,2,7,3,4,5]=>92
[6,7,1,4,5,3,2]=>[1,6,3,2,7,4,5]=>84
[6,7,1,5,2,3,4]=>[1,6,3,2,7,4,5]=>84
[6,7,1,5,4,2,3]=>[1,6,2,7,3,4,5]=>92
[6,7,1,5,4,3,2]=>[1,6,3,2,7,4,5]=>84
[6,7,2,1,4,3,5]=>[1,6,3,2,7,5,4]=>108
[6,7,2,1,5,3,4]=>[1,6,3,2,7,4,5]=>84
[6,7,2,3,4,1,5]=>[1,6,2,7,5,4,3]=>192
[6,7,2,4,1,3,5]=>[1,6,3,2,7,5,4]=>108
[6,7,2,4,5,1,3]=>[1,6,2,7,3,4,5]=>92
[6,7,2,4,5,3,1]=>[1,6,3,2,7,4,5]=>84
[6,7,2,5,1,3,4]=>[1,6,3,2,7,4,5]=>84
[6,7,2,5,4,1,3]=>[1,6,2,7,3,4,5]=>92
[6,7,2,5,4,3,1]=>[1,6,3,2,7,4,5]=>84
[6,7,3,1,4,2,5]=>[1,6,2,7,5,4,3]=>192
[6,7,3,2,4,1,5]=>[1,6,2,7,5,4,3]=>192
[6,7,3,4,5,1,2]=>[1,6,2,7,3,4,5]=>92
[6,7,3,4,5,2,1]=>[1,6,2,7,3,4,5]=>92
[6,7,3,5,4,1,2]=>[1,6,2,7,3,4,5]=>92
[6,7,3,5,4,2,1]=>[1,6,2,7,3,4,5]=>92
[6,7,4,1,2,3,5]=>[1,6,3,4,2,7,5]=>72
[6,7,4,1,5,2,3]=>[1,6,2,7,3,4,5]=>92
[6,7,4,1,5,3,2]=>[1,6,3,4,2,7,5]=>72
[6,7,4,2,1,3,5]=>[1,6,3,4,2,7,5]=>72
[6,7,4,2,5,1,3]=>[1,6,2,7,3,4,5]=>92
[6,7,4,2,5,3,1]=>[1,6,3,4,2,7,5]=>72
[6,7,4,3,5,1,2]=>[1,6,2,7,3,4,5]=>92
[6,7,4,3,5,2,1]=>[1,6,2,7,3,4,5]=>92
[6,7,4,5,1,2,3]=>[1,6,2,7,3,4,5]=>92
[6,7,4,5,2,1,3]=>[1,6,2,7,3,4,5]=>92
[6,7,4,5,3,1,2]=>[1,6,2,7,3,4,5]=>92
[6,7,4,5,3,2,1]=>[1,6,2,7,3,4,5]=>92
[6,7,5,1,2,3,4]=>[1,6,3,5,2,7,4]=>108
[6,7,5,2,1,3,4]=>[1,6,3,5,2,7,4]=>108
[6,7,5,4,1,3,2]=>[1,6,3,5,2,7,4]=>108
[6,7,5,4,2,3,1]=>[1,6,3,5,2,7,4]=>108
[7,1,2,3,4,5,6]=>[1,7,6,5,4,3,2]=>720
[7,1,2,3,6,4,5]=>[1,7,5,6,4,3,2]=>600
[7,1,2,4,3,5,6]=>[1,7,6,5,3,2,4]=>480
[7,1,2,4,3,6,5]=>[1,7,5,3,2,4,6]=>144
[7,1,2,4,5,3,6]=>[1,7,6,3,2,4,5]=>216
[7,1,2,4,5,6,3]=>[1,7,3,2,4,5,6]=>48
[7,1,2,4,6,3,5]=>[1,7,5,6,3,2,4]=>408
[7,1,2,4,6,5,3]=>[1,7,3,2,4,5,6]=>48
[7,1,2,5,3,4,6]=>[1,7,6,4,5,3,2]=>600
[7,1,2,5,4,3,6]=>[1,7,6,3,2,4,5]=>216
[7,1,2,5,4,6,3]=>[1,7,3,2,4,5,6]=>48
[7,1,2,5,6,3,4]=>[1,7,4,5,6,3,2]=>384
[7,1,2,5,6,4,3]=>[1,7,3,2,4,5,6]=>48
[7,1,2,6,3,4,5]=>[1,7,5,3,2,4,6]=>144
[7,1,2,6,3,5,4]=>[1,7,4,6,5,3,2]=>480
[7,1,2,6,4,3,5]=>[1,7,5,4,6,3,2]=>480
[7,1,2,6,4,5,3]=>[1,7,3,2,4,6,5]=>72
[7,1,2,6,5,4,3]=>[1,7,3,2,4,6,5]=>72
[7,1,3,2,4,5,6]=>[1,7,6,5,4,2,3]=>600
[7,1,3,2,5,4,6]=>[1,7,6,4,2,3,5]=>288
[7,1,3,2,5,6,4]=>[1,7,4,2,3,5,6]=>72
[7,1,3,2,6,4,5]=>[1,7,5,6,4,2,3]=>504
[7,1,3,2,6,5,4]=>[1,7,4,2,3,5,6]=>72
[7,1,3,4,2,5,6]=>[1,7,6,5,2,3,4]=>384
[7,1,3,4,2,6,5]=>[1,7,5,2,3,4,6]=>108
[7,1,3,4,5,2,6]=>[1,7,6,2,3,4,5]=>162
[7,1,3,4,5,6,2]=>[1,7,2,3,4,5,6]=>32
[7,1,3,4,6,2,5]=>[1,7,5,6,2,3,4]=>330
[7,1,3,4,6,5,2]=>[1,7,2,3,4,5,6]=>32
[7,1,3,5,2,4,6]=>[1,7,6,4,5,2,3]=>504
[7,1,3,5,2,6,4]=>[1,7,4,5,2,3,6]=>156
[7,1,3,5,4,2,6]=>[1,7,6,2,3,4,5]=>162
[7,1,3,5,4,6,2]=>[1,7,2,3,4,5,6]=>32
[7,1,3,5,6,2,4]=>[1,7,4,5,6,2,3]=>330
[7,1,3,5,6,4,2]=>[1,7,2,3,4,5,6]=>32
[7,1,3,6,2,4,5]=>[1,7,5,2,3,4,6]=>108
[7,1,3,6,4,5,2]=>[1,7,2,3,4,6,5]=>48
[7,1,3,6,5,4,2]=>[1,7,2,3,4,6,5]=>48
[7,1,4,2,3,5,6]=>[1,7,6,5,3,4,2]=>600
[7,1,4,2,5,3,6]=>[1,7,6,3,4,2,5]=>288
[7,1,4,2,5,6,3]=>[1,7,3,4,2,5,6]=>72
[7,1,4,2,6,3,5]=>[1,7,5,6,3,4,2]=>504
[7,1,4,2,6,5,3]=>[1,7,3,4,2,5,6]=>72
[7,1,4,3,2,5,6]=>[1,7,6,5,2,3,4]=>384
[7,1,4,3,2,6,5]=>[1,7,5,2,3,4,6]=>108
[7,1,4,3,5,2,6]=>[1,7,6,2,3,4,5]=>162
[7,1,4,3,5,6,2]=>[1,7,2,3,4,5,6]=>32
[7,1,4,3,6,2,5]=>[1,7,5,6,2,3,4]=>330
[7,1,4,3,6,5,2]=>[1,7,2,3,4,5,6]=>32
[7,1,4,5,2,3,6]=>[1,7,6,3,4,5,2]=>384
[7,1,4,5,2,6,3]=>[1,7,3,4,5,2,6]=>108
[7,1,4,5,3,2,6]=>[1,7,6,2,3,4,5]=>162
[7,1,4,5,3,6,2]=>[1,7,2,3,4,5,6]=>32
[7,1,4,5,6,2,3]=>[1,7,3,4,5,6,2]=>162
[7,1,4,5,6,3,2]=>[1,7,2,3,4,5,6]=>32
[7,1,4,6,2,3,5]=>[1,7,5,2,3,4,6]=>108
[7,1,4,6,3,5,2]=>[1,7,2,3,4,6,5]=>48
[7,1,4,6,5,3,2]=>[1,7,2,3,4,6,5]=>48
[7,1,5,2,3,4,6]=>[1,7,6,4,2,3,5]=>288
[7,1,5,2,3,6,4]=>[1,7,4,2,3,5,6]=>72
[7,1,5,2,4,3,6]=>[1,7,6,3,5,4,2]=>480
[7,1,5,2,6,3,4]=>[1,7,4,2,3,5,6]=>72
[7,1,5,2,6,4,3]=>[1,7,3,5,6,4,2]=>288
[7,1,5,4,2,6,3]=>[1,7,3,5,2,4,6]=>108
[7,1,5,6,2,4,3]=>[1,7,3,5,2,4,6]=>108
[7,1,6,2,3,5,4]=>[1,7,4,2,3,6,5]=>108
[7,1,6,2,4,5,3]=>[1,7,3,6,5,4,2]=>360
[7,1,6,2,5,3,4]=>[1,7,4,2,3,6,5]=>108
[7,1,6,3,2,5,4]=>[1,7,4,3,6,5,2]=>288
[7,1,6,3,4,2,5]=>[1,7,5,4,3,6,2]=>360
[7,1,6,3,4,5,2]=>[1,7,2,3,6,5,4]=>96
[7,1,6,4,3,5,2]=>[1,7,2,3,6,5,4]=>96
[7,1,6,5,2,3,4]=>[1,7,4,5,2,3,6]=>156
[7,1,6,5,3,2,4]=>[1,7,4,5,3,6,2]=>288
[7,2,1,3,4,5,6]=>[1,7,6,5,4,3,2]=>720
[7,2,1,3,6,4,5]=>[1,7,5,6,4,3,2]=>600
[7,2,1,4,3,5,6]=>[1,7,6,5,3,2,4]=>480
[7,2,1,4,3,6,5]=>[1,7,5,3,2,4,6]=>144
[7,2,1,4,5,3,6]=>[1,7,6,3,2,4,5]=>216
[7,2,1,4,5,6,3]=>[1,7,3,2,4,5,6]=>48
[7,2,1,4,6,3,5]=>[1,7,5,6,3,2,4]=>408
[7,2,1,4,6,5,3]=>[1,7,3,2,4,5,6]=>48
[7,2,1,5,3,4,6]=>[1,7,6,4,5,3,2]=>600
[7,2,1,5,4,3,6]=>[1,7,6,3,2,4,5]=>216
[7,2,1,5,4,6,3]=>[1,7,3,2,4,5,6]=>48
[7,2,1,5,6,3,4]=>[1,7,4,5,6,3,2]=>384
[7,2,1,5,6,4,3]=>[1,7,3,2,4,5,6]=>48
[7,2,1,6,3,4,5]=>[1,7,5,3,2,4,6]=>144
[7,2,1,6,3,5,4]=>[1,7,4,6,5,3,2]=>480
[7,2,1,6,4,3,5]=>[1,7,5,4,6,3,2]=>480
[7,2,1,6,4,5,3]=>[1,7,3,2,4,6,5]=>72
[7,2,1,6,5,4,3]=>[1,7,3,2,4,6,5]=>72
[7,2,3,1,4,5,6]=>[1,7,6,5,4,2,3]=>600
[7,2,3,1,5,4,6]=>[1,7,6,4,2,3,5]=>288
[7,2,3,1,5,6,4]=>[1,7,4,2,3,5,6]=>72
[7,2,3,1,6,4,5]=>[1,7,5,6,4,2,3]=>504
[7,2,3,1,6,5,4]=>[1,7,4,2,3,5,6]=>72
[7,2,3,4,1,5,6]=>[1,7,6,5,2,3,4]=>384
[7,2,3,4,1,6,5]=>[1,7,5,2,3,4,6]=>108
[7,2,3,4,5,1,6]=>[1,7,6,2,3,4,5]=>162
[7,2,3,4,5,6,1]=>[1,7,2,3,4,5,6]=>32
[7,2,3,4,6,1,5]=>[1,7,5,6,2,3,4]=>330
[7,2,3,4,6,5,1]=>[1,7,2,3,4,5,6]=>32
[7,2,3,5,1,4,6]=>[1,7,6,4,5,2,3]=>504
[7,2,3,5,1,6,4]=>[1,7,4,5,2,3,6]=>156
[7,2,3,5,4,1,6]=>[1,7,6,2,3,4,5]=>162
[7,2,3,5,4,6,1]=>[1,7,2,3,4,5,6]=>32
[7,2,3,5,6,1,4]=>[1,7,4,5,6,2,3]=>330
[7,2,3,5,6,4,1]=>[1,7,2,3,4,5,6]=>32
[7,2,3,6,1,4,5]=>[1,7,5,2,3,4,6]=>108
[7,2,3,6,4,5,1]=>[1,7,2,3,4,6,5]=>48
[7,2,3,6,5,4,1]=>[1,7,2,3,4,6,5]=>48
[7,2,4,1,3,5,6]=>[1,7,6,5,3,4,2]=>600
[7,2,4,1,5,3,6]=>[1,7,6,3,4,2,5]=>288
[7,2,4,1,5,6,3]=>[1,7,3,4,2,5,6]=>72
[7,2,4,1,6,3,5]=>[1,7,5,6,3,4,2]=>504
[7,2,4,1,6,5,3]=>[1,7,3,4,2,5,6]=>72
[7,2,4,3,1,5,6]=>[1,7,6,5,2,3,4]=>384
[7,2,4,3,1,6,5]=>[1,7,5,2,3,4,6]=>108
[7,2,4,3,5,1,6]=>[1,7,6,2,3,4,5]=>162
[7,2,4,3,5,6,1]=>[1,7,2,3,4,5,6]=>32
[7,2,4,3,6,1,5]=>[1,7,5,6,2,3,4]=>330
[7,2,4,3,6,5,1]=>[1,7,2,3,4,5,6]=>32
[7,2,4,5,1,3,6]=>[1,7,6,3,4,5,2]=>384
[7,2,4,5,1,6,3]=>[1,7,3,4,5,2,6]=>108
[7,2,4,5,3,1,6]=>[1,7,6,2,3,4,5]=>162
[7,2,4,5,3,6,1]=>[1,7,2,3,4,5,6]=>32
[7,2,4,5,6,1,3]=>[1,7,3,4,5,6,2]=>162
[7,2,4,5,6,3,1]=>[1,7,2,3,4,5,6]=>32
[7,2,4,6,1,3,5]=>[1,7,5,2,3,4,6]=>108
[7,2,4,6,3,5,1]=>[1,7,2,3,4,6,5]=>48
[7,2,4,6,5,3,1]=>[1,7,2,3,4,6,5]=>48
[7,2,5,1,3,4,6]=>[1,7,6,4,2,3,5]=>288
[7,2,5,1,3,6,4]=>[1,7,4,2,3,5,6]=>72
[7,2,5,1,4,3,6]=>[1,7,6,3,5,4,2]=>480
[7,2,5,1,6,3,4]=>[1,7,4,2,3,5,6]=>72
[7,2,5,1,6,4,3]=>[1,7,3,5,6,4,2]=>288
[7,2,5,4,1,6,3]=>[1,7,3,5,2,4,6]=>108
[7,2,5,6,1,4,3]=>[1,7,3,5,2,4,6]=>108
[7,2,6,1,3,5,4]=>[1,7,4,2,3,6,5]=>108
[7,2,6,1,4,5,3]=>[1,7,3,6,5,4,2]=>360
[7,2,6,1,5,3,4]=>[1,7,4,2,3,6,5]=>108
[7,2,6,3,1,5,4]=>[1,7,4,3,6,5,2]=>288
[7,2,6,3,4,1,5]=>[1,7,5,4,3,6,2]=>360
[7,2,6,3,4,5,1]=>[1,7,2,3,6,5,4]=>96
[7,2,6,4,3,5,1]=>[1,7,2,3,6,5,4]=>96
[7,2,6,5,1,3,4]=>[1,7,4,5,2,3,6]=>156
[7,2,6,5,3,1,4]=>[1,7,4,5,3,6,2]=>288
[7,3,1,2,4,5,6]=>[1,7,6,5,4,2,3]=>600
[7,3,1,2,5,4,6]=>[1,7,6,4,2,3,5]=>288
[7,3,1,2,5,6,4]=>[1,7,4,2,3,5,6]=>72
[7,3,1,2,6,4,5]=>[1,7,5,6,4,2,3]=>504
[7,3,1,2,6,5,4]=>[1,7,4,2,3,5,6]=>72
[7,3,1,4,2,5,6]=>[1,7,6,5,2,3,4]=>384
[7,3,1,4,2,6,5]=>[1,7,5,2,3,4,6]=>108
[7,3,1,4,5,2,6]=>[1,7,6,2,3,4,5]=>162
[7,3,1,4,5,6,2]=>[1,7,2,3,4,5,6]=>32
[7,3,1,4,6,2,5]=>[1,7,5,6,2,3,4]=>330
[7,3,1,4,6,5,2]=>[1,7,2,3,4,5,6]=>32
[7,3,1,5,2,4,6]=>[1,7,6,4,5,2,3]=>504
[7,3,1,5,2,6,4]=>[1,7,4,5,2,3,6]=>156
[7,3,1,5,4,2,6]=>[1,7,6,2,3,4,5]=>162
[7,3,1,5,4,6,2]=>[1,7,2,3,4,5,6]=>32
[7,3,1,5,6,2,4]=>[1,7,4,5,6,2,3]=>330
[7,3,1,5,6,4,2]=>[1,7,2,3,4,5,6]=>32
[7,3,1,6,2,4,5]=>[1,7,5,2,3,4,6]=>108
[7,3,1,6,4,5,2]=>[1,7,2,3,4,6,5]=>48
[7,3,1,6,5,4,2]=>[1,7,2,3,4,6,5]=>48
[7,3,2,1,4,5,6]=>[1,7,6,5,4,2,3]=>600
[7,3,2,1,5,4,6]=>[1,7,6,4,2,3,5]=>288
[7,3,2,1,5,6,4]=>[1,7,4,2,3,5,6]=>72
[7,3,2,1,6,4,5]=>[1,7,5,6,4,2,3]=>504
[7,3,2,1,6,5,4]=>[1,7,4,2,3,5,6]=>72
[7,3,2,4,1,5,6]=>[1,7,6,5,2,3,4]=>384
[7,3,2,4,1,6,5]=>[1,7,5,2,3,4,6]=>108
[7,3,2,4,5,1,6]=>[1,7,6,2,3,4,5]=>162
[7,3,2,4,5,6,1]=>[1,7,2,3,4,5,6]=>32
[7,3,2,4,6,1,5]=>[1,7,5,6,2,3,4]=>330
[7,3,2,4,6,5,1]=>[1,7,2,3,4,5,6]=>32
[7,3,2,5,1,4,6]=>[1,7,6,4,5,2,3]=>504
[7,3,2,5,1,6,4]=>[1,7,4,5,2,3,6]=>156
[7,3,2,5,4,1,6]=>[1,7,6,2,3,4,5]=>162
[7,3,2,5,4,6,1]=>[1,7,2,3,4,5,6]=>32
[7,3,2,5,6,1,4]=>[1,7,4,5,6,2,3]=>330
[7,3,2,5,6,4,1]=>[1,7,2,3,4,5,6]=>32
[7,3,2,6,1,4,5]=>[1,7,5,2,3,4,6]=>108
[7,3,2,6,4,5,1]=>[1,7,2,3,4,6,5]=>48
[7,3,2,6,5,4,1]=>[1,7,2,3,4,6,5]=>48
[7,3,4,1,2,5,6]=>[1,7,6,5,2,3,4]=>384
[7,3,4,1,2,6,5]=>[1,7,5,2,3,4,6]=>108
[7,3,4,1,5,2,6]=>[1,7,6,2,3,4,5]=>162
[7,3,4,1,5,6,2]=>[1,7,2,3,4,5,6]=>32
[7,3,4,1,6,2,5]=>[1,7,5,6,2,3,4]=>330
[7,3,4,1,6,5,2]=>[1,7,2,3,4,5,6]=>32
[7,3,4,2,1,5,6]=>[1,7,6,5,2,3,4]=>384
[7,3,4,2,1,6,5]=>[1,7,5,2,3,4,6]=>108
[7,3,4,2,5,1,6]=>[1,7,6,2,3,4,5]=>162
[7,3,4,2,5,6,1]=>[1,7,2,3,4,5,6]=>32
[7,3,4,2,6,1,5]=>[1,7,5,6,2,3,4]=>330
[7,3,4,2,6,5,1]=>[1,7,2,3,4,5,6]=>32
[7,3,4,5,1,2,6]=>[1,7,6,2,3,4,5]=>162
[7,3,4,5,1,6,2]=>[1,7,2,3,4,5,6]=>32
[7,3,4,5,2,1,6]=>[1,7,6,2,3,4,5]=>162
[7,3,4,5,2,6,1]=>[1,7,2,3,4,5,6]=>32
[7,3,4,5,6,1,2]=>[1,7,2,3,4,5,6]=>32
[7,3,4,5,6,2,1]=>[1,7,2,3,4,5,6]=>32
[7,3,4,6,1,2,5]=>[1,7,5,2,3,4,6]=>108
[7,3,4,6,1,5,2]=>[1,7,2,3,4,6,5]=>48
[7,3,4,6,2,1,5]=>[1,7,5,2,3,4,6]=>108
[7,3,4,6,2,5,1]=>[1,7,2,3,4,6,5]=>48
[7,3,4,6,5,1,2]=>[1,7,2,3,4,6,5]=>48
[7,3,4,6,5,2,1]=>[1,7,2,3,4,6,5]=>48
[7,3,5,1,2,4,6]=>[1,7,6,4,2,3,5]=>288
[7,3,5,1,2,6,4]=>[1,7,4,2,3,5,6]=>72
[7,3,5,1,6,2,4]=>[1,7,4,2,3,5,6]=>72
[7,3,5,2,1,4,6]=>[1,7,6,4,2,3,5]=>288
[7,3,5,2,1,6,4]=>[1,7,4,2,3,5,6]=>72
[7,3,5,2,6,1,4]=>[1,7,4,2,3,5,6]=>72
[7,3,6,1,2,5,4]=>[1,7,4,2,3,6,5]=>108
[7,3,6,1,4,5,2]=>[1,7,2,3,6,5,4]=>96
[7,3,6,1,5,2,4]=>[1,7,4,2,3,6,5]=>108
[7,3,6,2,1,5,4]=>[1,7,4,2,3,6,5]=>108
[7,3,6,2,4,5,1]=>[1,7,2,3,6,5,4]=>96
[7,3,6,2,5,1,4]=>[1,7,4,2,3,6,5]=>108
[7,3,6,4,1,5,2]=>[1,7,2,3,6,5,4]=>96
[7,3,6,4,2,5,1]=>[1,7,2,3,6,5,4]=>96
[7,3,6,5,1,2,4]=>[1,7,4,5,2,3,6]=>156
[7,3,6,5,2,1,4]=>[1,7,4,5,2,3,6]=>156
[7,4,1,2,3,5,6]=>[1,7,6,5,3,2,4]=>480
[7,4,1,2,3,6,5]=>[1,7,5,3,2,4,6]=>144
[7,4,1,2,5,3,6]=>[1,7,6,3,2,4,5]=>216
[7,4,1,2,5,6,3]=>[1,7,3,2,4,5,6]=>48
[7,4,1,2,6,3,5]=>[1,7,5,6,3,2,4]=>408
[7,4,1,2,6,5,3]=>[1,7,3,2,4,5,6]=>48
[7,4,1,3,2,5,6]=>[1,7,6,5,2,4,3]=>480
[7,4,1,5,2,3,6]=>[1,7,6,3,2,4,5]=>216
[7,4,1,5,2,6,3]=>[1,7,3,2,4,5,6]=>48
[7,4,1,5,6,2,3]=>[1,7,3,2,4,5,6]=>48
[7,4,1,5,6,3,2]=>[1,7,2,4,5,6,3]=>108
[7,4,1,6,2,3,5]=>[1,7,5,2,4,6,3]=>216
[7,4,1,6,2,5,3]=>[1,7,3,2,4,6,5]=>72
[7,4,1,6,3,2,5]=>[1,7,5,3,2,4,6]=>144
[7,4,1,6,5,2,3]=>[1,7,3,2,4,6,5]=>72
[7,4,2,1,3,5,6]=>[1,7,6,5,3,2,4]=>480
[7,4,2,1,3,6,5]=>[1,7,5,3,2,4,6]=>144
[7,4,2,1,5,3,6]=>[1,7,6,3,2,4,5]=>216
[7,4,2,1,5,6,3]=>[1,7,3,2,4,5,6]=>48
[7,4,2,1,6,3,5]=>[1,7,5,6,3,2,4]=>408
[7,4,2,1,6,5,3]=>[1,7,3,2,4,5,6]=>48
[7,4,2,3,1,5,6]=>[1,7,6,5,2,4,3]=>480
[7,4,2,5,1,3,6]=>[1,7,6,3,2,4,5]=>216
[7,4,2,5,1,6,3]=>[1,7,3,2,4,5,6]=>48
[7,4,2,5,6,1,3]=>[1,7,3,2,4,5,6]=>48
[7,4,2,5,6,3,1]=>[1,7,2,4,5,6,3]=>108
[7,4,2,6,1,3,5]=>[1,7,5,2,4,6,3]=>216
[7,4,2,6,1,5,3]=>[1,7,3,2,4,6,5]=>72
[7,4,2,6,3,1,5]=>[1,7,5,3,2,4,6]=>144
[7,4,2,6,5,1,3]=>[1,7,3,2,4,6,5]=>72
[7,4,3,1,2,5,6]=>[1,7,6,5,2,4,3]=>480
[7,4,3,2,1,5,6]=>[1,7,6,5,2,4,3]=>480
[7,4,3,5,6,1,2]=>[1,7,2,4,5,6,3]=>108
[7,4,3,5,6,2,1]=>[1,7,2,4,5,6,3]=>108
[7,4,3,6,1,2,5]=>[1,7,5,2,4,6,3]=>216
[7,4,3,6,2,1,5]=>[1,7,5,2,4,6,3]=>216
[7,4,5,1,2,6,3]=>[1,7,3,5,2,4,6]=>108
[7,4,5,2,1,6,3]=>[1,7,3,5,2,4,6]=>108
[7,4,5,6,1,2,3]=>[1,7,3,5,2,4,6]=>108
[7,4,5,6,2,1,3]=>[1,7,3,5,2,4,6]=>108
[7,5,1,2,4,3,6]=>[1,7,6,3,2,5,4]=>288
[7,5,1,2,6,4,3]=>[1,7,3,2,5,6,4]=>108
[7,5,1,3,4,2,6]=>[1,7,6,2,5,4,3]=>360
[7,5,1,4,2,3,6]=>[1,7,6,3,2,5,4]=>288
[7,5,1,4,6,2,3]=>[1,7,3,2,5,6,4]=>108
[7,5,1,4,6,3,2]=>[1,7,2,5,6,3,4]=>156
[7,5,1,6,3,2,4]=>[1,7,4,6,2,5,3]=>312
[7,5,2,1,4,3,6]=>[1,7,6,3,2,5,4]=>288
[7,5,2,1,6,4,3]=>[1,7,3,2,5,6,4]=>108
[7,5,2,3,4,1,6]=>[1,7,6,2,5,4,3]=>360
[7,5,2,4,1,3,6]=>[1,7,6,3,2,5,4]=>288
[7,5,2,4,6,1,3]=>[1,7,3,2,5,6,4]=>108
[7,5,2,4,6,3,1]=>[1,7,2,5,6,3,4]=>156
[7,5,2,6,3,1,4]=>[1,7,4,6,2,5,3]=>312
[7,5,3,1,4,2,6]=>[1,7,6,2,5,4,3]=>360
[7,5,3,2,4,1,6]=>[1,7,6,2,5,4,3]=>360
[7,5,3,4,6,1,2]=>[1,7,2,5,6,3,4]=>156
[7,5,3,4,6,2,1]=>[1,7,2,5,6,3,4]=>156
[7,5,3,6,1,2,4]=>[1,7,4,6,2,5,3]=>312
[7,5,3,6,2,1,4]=>[1,7,4,6,2,5,3]=>312
[7,5,4,1,2,3,6]=>[1,7,6,3,4,2,5]=>288
[7,5,4,1,2,6,3]=>[1,7,3,4,2,5,6]=>72
[7,5,4,1,6,2,3]=>[1,7,3,4,2,5,6]=>72
[7,5,4,1,6,3,2]=>[1,7,2,5,6,3,4]=>156
[7,5,4,2,1,3,6]=>[1,7,6,3,4,2,5]=>288
[7,5,4,2,1,6,3]=>[1,7,3,4,2,5,6]=>72
[7,5,4,2,6,1,3]=>[1,7,3,4,2,5,6]=>72
[7,5,4,2,6,3,1]=>[1,7,2,5,6,3,4]=>156
[7,5,4,3,6,1,2]=>[1,7,2,5,6,3,4]=>156
[7,5,4,3,6,2,1]=>[1,7,2,5,6,3,4]=>156
[7,5,6,1,4,2,3]=>[1,7,3,6,2,5,4]=>216
[7,5,6,2,4,1,3]=>[1,7,3,6,2,5,4]=>216
[7,5,6,4,1,2,3]=>[1,7,3,6,2,5,4]=>216
[7,5,6,4,2,1,3]=>[1,7,3,6,2,5,4]=>216
[7,6,1,2,3,4,5]=>[1,7,5,3,2,6,4]=>216
[7,6,1,2,3,5,4]=>[1,7,4,2,6,5,3]=>216
[7,6,1,2,5,3,4]=>[1,7,4,2,6,3,5]=>162
[7,6,1,2,5,4,3]=>[1,7,3,2,6,4,5]=>108
[7,6,1,3,2,5,4]=>[1,7,4,3,2,6,5]=>144
[7,6,1,3,5,2,4]=>[1,7,4,3,2,6,5]=>144
[7,6,1,4,3,2,5]=>[1,7,5,3,2,6,4]=>216
[7,6,1,4,5,2,3]=>[1,7,3,2,6,4,5]=>108
[7,6,1,5,2,3,4]=>[1,7,4,5,2,6,3]=>234
[7,6,1,5,2,4,3]=>[1,7,3,2,6,4,5]=>108
[7,6,1,5,4,2,3]=>[1,7,3,2,6,4,5]=>108
[7,6,2,1,3,4,5]=>[1,7,5,3,2,6,4]=>216
[7,6,2,1,3,5,4]=>[1,7,4,2,6,5,3]=>216
[7,6,2,1,5,3,4]=>[1,7,4,2,6,3,5]=>162
[7,6,2,1,5,4,3]=>[1,7,3,2,6,4,5]=>108
[7,6,2,3,1,5,4]=>[1,7,4,3,2,6,5]=>144
[7,6,2,3,5,1,4]=>[1,7,4,3,2,6,5]=>144
[7,6,2,4,3,1,5]=>[1,7,5,3,2,6,4]=>216
[7,6,2,4,5,1,3]=>[1,7,3,2,6,4,5]=>108
[7,6,2,5,1,3,4]=>[1,7,4,5,2,6,3]=>234
[7,6,2,5,1,4,3]=>[1,7,3,2,6,4,5]=>108
[7,6,2,5,4,1,3]=>[1,7,3,2,6,4,5]=>108
[7,6,3,1,2,5,4]=>[1,7,4,2,6,5,3]=>216
[7,6,3,1,5,2,4]=>[1,7,4,2,6,3,5]=>162
[7,6,3,2,1,5,4]=>[1,7,4,2,6,5,3]=>216
[7,6,3,2,5,1,4]=>[1,7,4,2,6,3,5]=>162
[7,6,3,5,1,2,4]=>[1,7,4,5,2,6,3]=>234
[7,6,3,5,2,1,4]=>[1,7,4,5,2,6,3]=>234
[7,6,4,1,2,5,3]=>[1,7,3,4,2,6,5]=>108
[7,6,4,1,5,2,3]=>[1,7,3,4,2,6,5]=>108
[7,6,4,2,1,5,3]=>[1,7,3,4,2,6,5]=>108
[7,6,4,2,5,1,3]=>[1,7,3,4,2,6,5]=>108
[7,6,4,5,1,2,3]=>[1,7,3,4,5,2,6]=>108
[7,6,4,5,2,1,3]=>[1,7,3,4,5,2,6]=>108
[7,6,5,1,2,3,4]=>[1,7,4,2,6,3,5]=>162
[7,6,5,1,3,2,4]=>[1,7,4,2,6,3,5]=>162
[7,6,5,2,1,3,4]=>[1,7,4,2,6,3,5]=>162
[7,6,5,2,3,1,4]=>[1,7,4,2,6,3,5]=>162
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Description
The number of regions of the inversion arrangement of a permutation.
The inversion arrangement $\mathcal{A}_w$ consists of the hyperplanes $x_i-x_j=0$ such that $(i,j)$ is an inversion of $w$.
Postnikov [4] conjectured that the number of regions in $\mathcal{A}_w$ equals the number of permutations in the interval $[id,w]$ in the strong Bruhat order if and only if $w$ avoids $4231$, $35142$, $42513$, $351624$. This conjecture was proved by Hultman-Linusson-Shareshian-Sjöstrand [1].
Oh-Postnikov-Yoo [3] showed that the number of regions of $\mathcal{A}_w$ is $|\chi_{G_w}(-1)|$ where $\chi_{G_w}$ is the chromatic polynomial of the inversion graph $G_w$. This is the graph with vertices ${1,2,\ldots,n}$ and edges $(i,j)$ for $i\lneq j$ $w_i\gneq w_j$.
For a permutation $w=w_1\cdots w_n$, Lewis-Morales [2] and Hultman (see appendix in [2]) showed that this number equals the number of placements of $n$ non-attacking rooks on the south-west Rothe diagram of $w$.
The inversion arrangement $\mathcal{A}_w$ consists of the hyperplanes $x_i-x_j=0$ such that $(i,j)$ is an inversion of $w$.
Postnikov [4] conjectured that the number of regions in $\mathcal{A}_w$ equals the number of permutations in the interval $[id,w]$ in the strong Bruhat order if and only if $w$ avoids $4231$, $35142$, $42513$, $351624$. This conjecture was proved by Hultman-Linusson-Shareshian-Sjöstrand [1].
Oh-Postnikov-Yoo [3] showed that the number of regions of $\mathcal{A}_w$ is $|\chi_{G_w}(-1)|$ where $\chi_{G_w}$ is the chromatic polynomial of the inversion graph $G_w$. This is the graph with vertices ${1,2,\ldots,n}$ and edges $(i,j)$ for $i\lneq j$ $w_i\gneq w_j$.
For a permutation $w=w_1\cdots w_n$, Lewis-Morales [2] and Hultman (see appendix in [2]) showed that this number equals the number of placements of $n$ non-attacking rooks on the south-west Rothe diagram of $w$.
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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