Identifier
- St000058: Permutations ⟶ ℤ
Values
=>
[1]=>1
[1,2]=>1
[2,1]=>2
[1,2,3]=>1
[1,3,2]=>2
[2,1,3]=>2
[2,3,1]=>3
[3,1,2]=>3
[3,2,1]=>2
[1,2,3,4]=>1
[1,2,4,3]=>2
[1,3,2,4]=>2
[1,3,4,2]=>3
[1,4,2,3]=>3
[1,4,3,2]=>2
[2,1,3,4]=>2
[2,1,4,3]=>2
[2,3,1,4]=>3
[2,3,4,1]=>4
[2,4,1,3]=>4
[2,4,3,1]=>3
[3,1,2,4]=>3
[3,1,4,2]=>4
[3,2,1,4]=>2
[3,2,4,1]=>3
[3,4,1,2]=>2
[3,4,2,1]=>4
[4,1,2,3]=>4
[4,1,3,2]=>3
[4,2,1,3]=>3
[4,2,3,1]=>2
[4,3,1,2]=>4
[4,3,2,1]=>2
[1,2,3,4,5]=>1
[1,2,3,5,4]=>2
[1,2,4,3,5]=>2
[1,2,4,5,3]=>3
[1,2,5,3,4]=>3
[1,2,5,4,3]=>2
[1,3,2,4,5]=>2
[1,3,2,5,4]=>2
[1,3,4,2,5]=>3
[1,3,4,5,2]=>4
[1,3,5,2,4]=>4
[1,3,5,4,2]=>3
[1,4,2,3,5]=>3
[1,4,2,5,3]=>4
[1,4,3,2,5]=>2
[1,4,3,5,2]=>3
[1,4,5,2,3]=>2
[1,4,5,3,2]=>4
[1,5,2,3,4]=>4
[1,5,2,4,3]=>3
[1,5,3,2,4]=>3
[1,5,3,4,2]=>2
[1,5,4,2,3]=>4
[1,5,4,3,2]=>2
[2,1,3,4,5]=>2
[2,1,3,5,4]=>2
[2,1,4,3,5]=>2
[2,1,4,5,3]=>6
[2,1,5,3,4]=>6
[2,1,5,4,3]=>2
[2,3,1,4,5]=>3
[2,3,1,5,4]=>6
[2,3,4,1,5]=>4
[2,3,4,5,1]=>5
[2,3,5,1,4]=>5
[2,3,5,4,1]=>4
[2,4,1,3,5]=>4
[2,4,1,5,3]=>5
[2,4,3,1,5]=>3
[2,4,3,5,1]=>4
[2,4,5,1,3]=>6
[2,4,5,3,1]=>5
[2,5,1,3,4]=>5
[2,5,1,4,3]=>4
[2,5,3,1,4]=>4
[2,5,3,4,1]=>3
[2,5,4,1,3]=>5
[2,5,4,3,1]=>6
[3,1,2,4,5]=>3
[3,1,2,5,4]=>6
[3,1,4,2,5]=>4
[3,1,4,5,2]=>5
[3,1,5,2,4]=>5
[3,1,5,4,2]=>4
[3,2,1,4,5]=>2
[3,2,1,5,4]=>2
[3,2,4,1,5]=>3
[3,2,4,5,1]=>4
[3,2,5,1,4]=>4
[3,2,5,4,1]=>3
[3,4,1,2,5]=>2
[3,4,1,5,2]=>6
[3,4,2,1,5]=>4
[3,4,2,5,1]=>5
[3,4,5,1,2]=>5
[3,4,5,2,1]=>6
[3,5,1,2,4]=>6
[3,5,1,4,2]=>2
[3,5,2,1,4]=>5
[3,5,2,4,1]=>4
[3,5,4,1,2]=>6
[3,5,4,2,1]=>5
[4,1,2,3,5]=>4
[4,1,2,5,3]=>5
[4,1,3,2,5]=>3
[4,1,3,5,2]=>4
[4,1,5,2,3]=>6
[4,1,5,3,2]=>5
[4,2,1,3,5]=>3
[4,2,1,5,3]=>4
[4,2,3,1,5]=>2
[4,2,3,5,1]=>3
[4,2,5,1,3]=>2
[4,2,5,3,1]=>4
[4,3,1,2,5]=>4
[4,3,1,5,2]=>5
[4,3,2,1,5]=>2
[4,3,2,5,1]=>6
[4,3,5,1,2]=>6
[4,3,5,2,1]=>5
[4,5,1,2,3]=>5
[4,5,1,3,2]=>6
[4,5,2,1,3]=>6
[4,5,2,3,1]=>5
[4,5,3,1,2]=>2
[4,5,3,2,1]=>4
[5,1,2,3,4]=>5
[5,1,2,4,3]=>4
[5,1,3,2,4]=>4
[5,1,3,4,2]=>3
[5,1,4,2,3]=>5
[5,1,4,3,2]=>6
[5,2,1,3,4]=>4
[5,2,1,4,3]=>3
[5,2,3,1,4]=>3
[5,2,3,4,1]=>2
[5,2,4,1,3]=>4
[5,2,4,3,1]=>2
[5,3,1,2,4]=>5
[5,3,1,4,2]=>4
[5,3,2,1,4]=>6
[5,3,2,4,1]=>2
[5,3,4,1,2]=>5
[5,3,4,2,1]=>6
[5,4,1,2,3]=>6
[5,4,1,3,2]=>5
[5,4,2,1,3]=>5
[5,4,2,3,1]=>6
[5,4,3,1,2]=>4
[5,4,3,2,1]=>2
[1,2,3,4,5,6]=>1
[1,2,3,4,6,5]=>2
[1,2,3,5,4,6]=>2
[1,2,3,5,6,4]=>3
[1,2,3,6,4,5]=>3
[1,2,3,6,5,4]=>2
[1,2,4,3,5,6]=>2
[1,2,4,3,6,5]=>2
[1,2,4,5,3,6]=>3
[1,2,4,5,6,3]=>4
[1,2,4,6,3,5]=>4
[1,2,4,6,5,3]=>3
[1,2,5,3,4,6]=>3
[1,2,5,3,6,4]=>4
[1,2,5,4,3,6]=>2
[1,2,5,4,6,3]=>3
[1,2,5,6,3,4]=>2
[1,2,5,6,4,3]=>4
[1,2,6,3,4,5]=>4
[1,2,6,3,5,4]=>3
[1,2,6,4,3,5]=>3
[1,2,6,4,5,3]=>2
[1,2,6,5,3,4]=>4
[1,2,6,5,4,3]=>2
[1,3,2,4,5,6]=>2
[1,3,2,4,6,5]=>2
[1,3,2,5,4,6]=>2
[1,3,2,5,6,4]=>6
[1,3,2,6,4,5]=>6
[1,3,2,6,5,4]=>2
[1,3,4,2,5,6]=>3
[1,3,4,2,6,5]=>6
[1,3,4,5,2,6]=>4
[1,3,4,5,6,2]=>5
[1,3,4,6,2,5]=>5
[1,3,4,6,5,2]=>4
[1,3,5,2,4,6]=>4
[1,3,5,2,6,4]=>5
[1,3,5,4,2,6]=>3
[1,3,5,4,6,2]=>4
[1,3,5,6,2,4]=>6
[1,3,5,6,4,2]=>5
[1,3,6,2,4,5]=>5
[1,3,6,2,5,4]=>4
[1,3,6,4,2,5]=>4
[1,3,6,4,5,2]=>3
[1,3,6,5,2,4]=>5
[1,3,6,5,4,2]=>6
[1,4,2,3,5,6]=>3
[1,4,2,3,6,5]=>6
[1,4,2,5,3,6]=>4
[1,4,2,5,6,3]=>5
[1,4,2,6,3,5]=>5
[1,4,2,6,5,3]=>4
[1,4,3,2,5,6]=>2
[1,4,3,2,6,5]=>2
[1,4,3,5,2,6]=>3
[1,4,3,5,6,2]=>4
[1,4,3,6,2,5]=>4
[1,4,3,6,5,2]=>3
[1,4,5,2,3,6]=>2
[1,4,5,2,6,3]=>6
[1,4,5,3,2,6]=>4
[1,4,5,3,6,2]=>5
[1,4,5,6,2,3]=>5
[1,4,5,6,3,2]=>6
[1,4,6,2,3,5]=>6
[1,4,6,2,5,3]=>2
[1,4,6,3,2,5]=>5
[1,4,6,3,5,2]=>4
[1,4,6,5,2,3]=>6
[1,4,6,5,3,2]=>5
[1,5,2,3,4,6]=>4
[1,5,2,3,6,4]=>5
[1,5,2,4,3,6]=>3
[1,5,2,4,6,3]=>4
[1,5,2,6,3,4]=>6
[1,5,2,6,4,3]=>5
[1,5,3,2,4,6]=>3
[1,5,3,2,6,4]=>4
[1,5,3,4,2,6]=>2
[1,5,3,4,6,2]=>3
[1,5,3,6,2,4]=>2
[1,5,3,6,4,2]=>4
[1,5,4,2,3,6]=>4
[1,5,4,2,6,3]=>5
[1,5,4,3,2,6]=>2
[1,5,4,3,6,2]=>6
[1,5,4,6,2,3]=>6
[1,5,4,6,3,2]=>5
[1,5,6,2,3,4]=>5
[1,5,6,2,4,3]=>6
[1,5,6,3,2,4]=>6
[1,5,6,3,4,2]=>5
[1,5,6,4,2,3]=>2
[1,5,6,4,3,2]=>4
[1,6,2,3,4,5]=>5
[1,6,2,3,5,4]=>4
[1,6,2,4,3,5]=>4
[1,6,2,4,5,3]=>3
[1,6,2,5,3,4]=>5
[1,6,2,5,4,3]=>6
[1,6,3,2,4,5]=>4
[1,6,3,2,5,4]=>3
[1,6,3,4,2,5]=>3
[1,6,3,4,5,2]=>2
[1,6,3,5,2,4]=>4
[1,6,3,5,4,2]=>2
[1,6,4,2,3,5]=>5
[1,6,4,2,5,3]=>4
[1,6,4,3,2,5]=>6
[1,6,4,3,5,2]=>2
[1,6,4,5,2,3]=>5
[1,6,4,5,3,2]=>6
[1,6,5,2,3,4]=>6
[1,6,5,2,4,3]=>5
[1,6,5,3,2,4]=>5
[1,6,5,3,4,2]=>6
[1,6,5,4,2,3]=>4
[1,6,5,4,3,2]=>2
[2,1,3,4,5,6]=>2
[2,1,3,4,6,5]=>2
[2,1,3,5,4,6]=>2
[2,1,3,5,6,4]=>6
[2,1,3,6,4,5]=>6
[2,1,3,6,5,4]=>2
[2,1,4,3,5,6]=>2
[2,1,4,3,6,5]=>2
[2,1,4,5,3,6]=>6
[2,1,4,5,6,3]=>4
[2,1,4,6,3,5]=>4
[2,1,4,6,5,3]=>6
[2,1,5,3,4,6]=>6
[2,1,5,3,6,4]=>4
[2,1,5,4,3,6]=>2
[2,1,5,4,6,3]=>6
[2,1,5,6,3,4]=>2
[2,1,5,6,4,3]=>4
[2,1,6,3,4,5]=>4
[2,1,6,3,5,4]=>6
[2,1,6,4,3,5]=>6
[2,1,6,4,5,3]=>2
[2,1,6,5,3,4]=>4
[2,1,6,5,4,3]=>2
[2,3,1,4,5,6]=>3
[2,3,1,4,6,5]=>6
[2,3,1,5,4,6]=>6
[2,3,1,5,6,4]=>3
[2,3,1,6,4,5]=>3
[2,3,1,6,5,4]=>6
[2,3,4,1,5,6]=>4
[2,3,4,1,6,5]=>4
[2,3,4,5,1,6]=>5
[2,3,4,5,6,1]=>6
[2,3,4,6,1,5]=>6
[2,3,4,6,5,1]=>5
[2,3,5,1,4,6]=>5
[2,3,5,1,6,4]=>6
[2,3,5,4,1,6]=>4
[2,3,5,4,6,1]=>5
[2,3,5,6,1,4]=>4
[2,3,5,6,4,1]=>6
[2,3,6,1,4,5]=>6
[2,3,6,1,5,4]=>5
[2,3,6,4,1,5]=>5
[2,3,6,4,5,1]=>4
[2,3,6,5,1,4]=>6
[2,3,6,5,4,1]=>4
[2,4,1,3,5,6]=>4
[2,4,1,3,6,5]=>4
[2,4,1,5,3,6]=>5
[2,4,1,5,6,3]=>6
[2,4,1,6,3,5]=>6
[2,4,1,6,5,3]=>5
[2,4,3,1,5,6]=>3
[2,4,3,1,6,5]=>6
[2,4,3,5,1,6]=>4
[2,4,3,5,6,1]=>5
[2,4,3,6,1,5]=>5
[2,4,3,6,5,1]=>4
[2,4,5,1,3,6]=>6
[2,4,5,1,6,3]=>3
[2,4,5,3,1,6]=>5
[2,4,5,3,6,1]=>6
[2,4,5,6,1,3]=>6
[2,4,5,6,3,1]=>4
[2,4,6,1,3,5]=>3
[2,4,6,1,5,3]=>6
[2,4,6,3,1,5]=>6
[2,4,6,3,5,1]=>5
[2,4,6,5,1,3]=>4
[2,4,6,5,3,1]=>6
[2,5,1,3,4,6]=>5
[2,5,1,3,6,4]=>6
[2,5,1,4,3,6]=>4
[2,5,1,4,6,3]=>5
[2,5,1,6,3,4]=>4
[2,5,1,6,4,3]=>6
[2,5,3,1,4,6]=>4
[2,5,3,1,6,4]=>5
[2,5,3,4,1,6]=>3
[2,5,3,4,6,1]=>4
[2,5,3,6,1,4]=>6
[2,5,3,6,4,1]=>5
[2,5,4,1,3,6]=>5
[2,5,4,1,6,3]=>6
[2,5,4,3,1,6]=>6
[2,5,4,3,6,1]=>4
[2,5,4,6,1,3]=>3
[2,5,4,6,3,1]=>6
[2,5,6,1,3,4]=>6
[2,5,6,1,4,3]=>4
[2,5,6,3,1,4]=>3
[2,5,6,3,4,1]=>6
[2,5,6,4,1,3]=>6
[2,5,6,4,3,1]=>5
[2,6,1,3,4,5]=>6
[2,6,1,3,5,4]=>5
[2,6,1,4,3,5]=>5
[2,6,1,4,5,3]=>4
[2,6,1,5,3,4]=>6
[2,6,1,5,4,3]=>4
[2,6,3,1,4,5]=>5
[2,6,3,1,5,4]=>4
[2,6,3,4,1,5]=>4
[2,6,3,4,5,1]=>3
[2,6,3,5,1,4]=>5
[2,6,3,5,4,1]=>6
[2,6,4,1,3,5]=>6
[2,6,4,1,5,3]=>5
[2,6,4,3,1,5]=>4
[2,6,4,3,5,1]=>6
[2,6,4,5,1,3]=>6
[2,6,4,5,3,1]=>3
[2,6,5,1,3,4]=>4
[2,6,5,1,4,3]=>6
[2,6,5,3,1,4]=>6
[2,6,5,3,4,1]=>3
[2,6,5,4,1,3]=>5
[2,6,5,4,3,1]=>6
[3,1,2,4,5,6]=>3
[3,1,2,4,6,5]=>6
[3,1,2,5,4,6]=>6
[3,1,2,5,6,4]=>3
[3,1,2,6,4,5]=>3
[3,1,2,6,5,4]=>6
[3,1,4,2,5,6]=>4
[3,1,4,2,6,5]=>4
[3,1,4,5,2,6]=>5
[3,1,4,5,6,2]=>6
[3,1,4,6,2,5]=>6
[3,1,4,6,5,2]=>5
[3,1,5,2,4,6]=>5
[3,1,5,2,6,4]=>6
[3,1,5,4,2,6]=>4
[3,1,5,4,6,2]=>5
[3,1,5,6,2,4]=>4
[3,1,5,6,4,2]=>6
[3,1,6,2,4,5]=>6
[3,1,6,2,5,4]=>5
[3,1,6,4,2,5]=>5
[3,1,6,4,5,2]=>4
[3,1,6,5,2,4]=>6
[3,1,6,5,4,2]=>4
[3,2,1,4,5,6]=>2
[3,2,1,4,6,5]=>2
[3,2,1,5,4,6]=>2
[3,2,1,5,6,4]=>6
[3,2,1,6,4,5]=>6
[3,2,1,6,5,4]=>2
[3,2,4,1,5,6]=>3
[3,2,4,1,6,5]=>6
[3,2,4,5,1,6]=>4
[3,2,4,5,6,1]=>5
[3,2,4,6,1,5]=>5
[3,2,4,6,5,1]=>4
[3,2,5,1,4,6]=>4
[3,2,5,1,6,4]=>5
[3,2,5,4,1,6]=>3
[3,2,5,4,6,1]=>4
[3,2,5,6,1,4]=>6
[3,2,5,6,4,1]=>5
[3,2,6,1,4,5]=>5
[3,2,6,1,5,4]=>4
[3,2,6,4,1,5]=>4
[3,2,6,4,5,1]=>3
[3,2,6,5,1,4]=>5
[3,2,6,5,4,1]=>6
[3,4,1,2,5,6]=>2
[3,4,1,2,6,5]=>2
[3,4,1,5,2,6]=>6
[3,4,1,5,6,2]=>4
[3,4,1,6,2,5]=>4
[3,4,1,6,5,2]=>6
[3,4,2,1,5,6]=>4
[3,4,2,1,6,5]=>4
[3,4,2,5,1,6]=>5
[3,4,2,5,6,1]=>6
[3,4,2,6,1,5]=>6
[3,4,2,6,5,1]=>5
[3,4,5,1,2,6]=>5
[3,4,5,1,6,2]=>6
[3,4,5,2,1,6]=>6
[3,4,5,2,6,1]=>4
[3,4,5,6,1,2]=>3
[3,4,5,6,2,1]=>6
[3,4,6,1,2,5]=>6
[3,4,6,1,5,2]=>5
[3,4,6,2,1,5]=>4
[3,4,6,2,5,1]=>6
[3,4,6,5,1,2]=>6
[3,4,6,5,2,1]=>3
[3,5,1,2,4,6]=>6
[3,5,1,2,6,4]=>4
[3,5,1,4,2,6]=>2
[3,5,1,4,6,2]=>6
[3,5,1,6,2,4]=>2
[3,5,1,6,4,2]=>4
[3,5,2,1,4,6]=>5
[3,5,2,1,6,4]=>6
[3,5,2,4,1,6]=>4
[3,5,2,4,6,1]=>5
[3,5,2,6,1,4]=>4
[3,5,2,6,4,1]=>6
[3,5,4,1,2,6]=>6
[3,5,4,1,6,2]=>3
[3,5,4,2,1,6]=>5
[3,5,4,2,6,1]=>6
[3,5,4,6,1,2]=>6
[3,5,4,6,2,1]=>4
[3,5,6,1,2,4]=>4
[3,5,6,1,4,2]=>6
[3,5,6,2,1,4]=>6
[3,5,6,2,4,1]=>3
[3,5,6,4,1,2]=>5
[3,5,6,4,2,1]=>6
[3,6,1,2,4,5]=>4
[3,6,1,2,5,4]=>6
[3,6,1,4,2,5]=>6
[3,6,1,4,5,2]=>2
[3,6,1,5,2,4]=>4
[3,6,1,5,4,2]=>2
[3,6,2,1,4,5]=>6
[3,6,2,1,5,4]=>5
[3,6,2,4,1,5]=>5
[3,6,2,4,5,1]=>4
[3,6,2,5,1,4]=>6
[3,6,2,5,4,1]=>4
[3,6,4,1,2,5]=>3
[3,6,4,1,5,2]=>6
[3,6,4,2,1,5]=>6
[3,6,4,2,5,1]=>5
[3,6,4,5,1,2]=>4
[3,6,4,5,2,1]=>6
[3,6,5,1,2,4]=>6
[3,6,5,1,4,2]=>4
[3,6,5,2,1,4]=>3
[3,6,5,2,4,1]=>6
[3,6,5,4,1,2]=>6
[3,6,5,4,2,1]=>5
[4,1,2,3,5,6]=>4
[4,1,2,3,6,5]=>4
[4,1,2,5,3,6]=>5
[4,1,2,5,6,3]=>6
[4,1,2,6,3,5]=>6
[4,1,2,6,5,3]=>5
[4,1,3,2,5,6]=>3
[4,1,3,2,6,5]=>6
[4,1,3,5,2,6]=>4
[4,1,3,5,6,2]=>5
[4,1,3,6,2,5]=>5
[4,1,3,6,5,2]=>4
[4,1,5,2,3,6]=>6
[4,1,5,2,6,3]=>3
[4,1,5,3,2,6]=>5
[4,1,5,3,6,2]=>6
[4,1,5,6,2,3]=>6
[4,1,5,6,3,2]=>4
[4,1,6,2,3,5]=>3
[4,1,6,2,5,3]=>6
[4,1,6,3,2,5]=>6
[4,1,6,3,5,2]=>5
[4,1,6,5,2,3]=>4
[4,1,6,5,3,2]=>6
[4,2,1,3,5,6]=>3
[4,2,1,3,6,5]=>6
[4,2,1,5,3,6]=>4
[4,2,1,5,6,3]=>5
[4,2,1,6,3,5]=>5
[4,2,1,6,5,3]=>4
[4,2,3,1,5,6]=>2
[4,2,3,1,6,5]=>2
[4,2,3,5,1,6]=>3
[4,2,3,5,6,1]=>4
[4,2,3,6,1,5]=>4
[4,2,3,6,5,1]=>3
[4,2,5,1,3,6]=>2
[4,2,5,1,6,3]=>6
[4,2,5,3,1,6]=>4
[4,2,5,3,6,1]=>5
[4,2,5,6,1,3]=>5
[4,2,5,6,3,1]=>6
[4,2,6,1,3,5]=>6
[4,2,6,1,5,3]=>2
[4,2,6,3,1,5]=>5
[4,2,6,3,5,1]=>4
[4,2,6,5,1,3]=>6
[4,2,6,5,3,1]=>5
[4,3,1,2,5,6]=>4
[4,3,1,2,6,5]=>4
[4,3,1,5,2,6]=>5
[4,3,1,5,6,2]=>6
[4,3,1,6,2,5]=>6
[4,3,1,6,5,2]=>5
[4,3,2,1,5,6]=>2
[4,3,2,1,6,5]=>2
[4,3,2,5,1,6]=>6
[4,3,2,5,6,1]=>4
[4,3,2,6,1,5]=>4
[4,3,2,6,5,1]=>6
[4,3,5,1,2,6]=>6
[4,3,5,1,6,2]=>4
[4,3,5,2,1,6]=>5
[4,3,5,2,6,1]=>6
[4,3,5,6,1,2]=>6
[4,3,5,6,2,1]=>3
[4,3,6,1,2,5]=>4
[4,3,6,1,5,2]=>6
[4,3,6,2,1,5]=>6
[4,3,6,2,5,1]=>5
[4,3,6,5,1,2]=>3
[4,3,6,5,2,1]=>6
[4,5,1,2,3,6]=>5
[4,5,1,2,6,3]=>6
[4,5,1,3,2,6]=>6
[4,5,1,3,6,2]=>3
[4,5,1,6,2,3]=>4
[4,5,1,6,3,2]=>6
[4,5,2,1,3,6]=>6
[4,5,2,1,6,3]=>4
[4,5,2,3,1,6]=>5
[4,5,2,3,6,1]=>6
[4,5,2,6,1,3]=>6
[4,5,2,6,3,1]=>3
[4,5,3,1,2,6]=>2
[4,5,3,1,6,2]=>6
[4,5,3,2,1,6]=>4
[4,5,3,2,6,1]=>5
[4,5,3,6,1,2]=>5
[4,5,3,6,2,1]=>6
[4,5,6,1,2,3]=>2
[4,5,6,1,3,2]=>4
[4,5,6,2,1,3]=>4
[4,5,6,2,3,1]=>6
[4,5,6,3,1,2]=>6
[4,5,6,3,2,1]=>4
[4,6,1,2,3,5]=>6
[4,6,1,2,5,3]=>5
[4,6,1,3,2,5]=>3
[4,6,1,3,5,2]=>6
[4,6,1,5,2,3]=>6
[4,6,1,5,3,2]=>4
[4,6,2,1,3,5]=>4
[4,6,2,1,5,3]=>6
[4,6,2,3,1,5]=>6
[4,6,2,3,5,1]=>5
[4,6,2,5,1,3]=>3
[4,6,2,5,3,1]=>6
[4,6,3,1,2,5]=>6
[4,6,3,1,5,2]=>2
[4,6,3,2,1,5]=>5
[4,6,3,2,5,1]=>4
[4,6,3,5,1,2]=>6
[4,6,3,5,2,1]=>5
[4,6,5,1,2,3]=>4
[4,6,5,1,3,2]=>2
[4,6,5,2,1,3]=>6
[4,6,5,2,3,1]=>4
[4,6,5,3,1,2]=>4
[4,6,5,3,2,1]=>6
[5,1,2,3,4,6]=>5
[5,1,2,3,6,4]=>6
[5,1,2,4,3,6]=>4
[5,1,2,4,6,3]=>5
[5,1,2,6,3,4]=>4
[5,1,2,6,4,3]=>6
[5,1,3,2,4,6]=>4
[5,1,3,2,6,4]=>5
[5,1,3,4,2,6]=>3
[5,1,3,4,6,2]=>4
[5,1,3,6,2,4]=>6
[5,1,3,6,4,2]=>5
[5,1,4,2,3,6]=>5
[5,1,4,2,6,3]=>6
[5,1,4,3,2,6]=>6
[5,1,4,3,6,2]=>4
[5,1,4,6,2,3]=>3
[5,1,4,6,3,2]=>6
[5,1,6,2,3,4]=>6
[5,1,6,2,4,3]=>4
[5,1,6,3,2,4]=>3
[5,1,6,3,4,2]=>6
[5,1,6,4,2,3]=>6
[5,1,6,4,3,2]=>5
[5,2,1,3,4,6]=>4
[5,2,1,3,6,4]=>5
[5,2,1,4,3,6]=>3
[5,2,1,4,6,3]=>4
[5,2,1,6,3,4]=>6
[5,2,1,6,4,3]=>5
[5,2,3,1,4,6]=>3
[5,2,3,1,6,4]=>4
[5,2,3,4,1,6]=>2
[5,2,3,4,6,1]=>3
[5,2,3,6,1,4]=>2
[5,2,3,6,4,1]=>4
[5,2,4,1,3,6]=>4
[5,2,4,1,6,3]=>5
[5,2,4,3,1,6]=>2
[5,2,4,3,6,1]=>6
[5,2,4,6,1,3]=>6
[5,2,4,6,3,1]=>5
[5,2,6,1,3,4]=>5
[5,2,6,1,4,3]=>6
[5,2,6,3,1,4]=>6
[5,2,6,3,4,1]=>5
[5,2,6,4,1,3]=>2
[5,2,6,4,3,1]=>4
[5,3,1,2,4,6]=>5
[5,3,1,2,6,4]=>6
[5,3,1,4,2,6]=>4
[5,3,1,4,6,2]=>5
[5,3,1,6,2,4]=>4
[5,3,1,6,4,2]=>6
[5,3,2,1,4,6]=>6
[5,3,2,1,6,4]=>4
[5,3,2,4,1,6]=>2
[5,3,2,4,6,1]=>6
[5,3,2,6,1,4]=>2
[5,3,2,6,4,1]=>4
[5,3,4,1,2,6]=>5
[5,3,4,1,6,2]=>6
[5,3,4,2,1,6]=>6
[5,3,4,2,6,1]=>3
[5,3,4,6,1,2]=>4
[5,3,4,6,2,1]=>6
[5,3,6,1,2,4]=>6
[5,3,6,1,4,2]=>3
[5,3,6,2,1,4]=>4
[5,3,6,2,4,1]=>6
[5,3,6,4,1,2]=>6
[5,3,6,4,2,1]=>5
[5,4,1,2,3,6]=>6
[5,4,1,2,6,3]=>4
[5,4,1,3,2,6]=>5
[5,4,1,3,6,2]=>6
[5,4,1,6,2,3]=>6
[5,4,1,6,3,2]=>3
[5,4,2,1,3,6]=>5
[5,4,2,1,6,3]=>6
[5,4,2,3,1,6]=>6
[5,4,2,3,6,1]=>3
[5,4,2,6,1,3]=>4
[5,4,2,6,3,1]=>6
[5,4,3,1,2,6]=>4
[5,4,3,1,6,2]=>5
[5,4,3,2,1,6]=>2
[5,4,3,2,6,1]=>6
[5,4,3,6,1,2]=>6
[5,4,3,6,2,1]=>5
[5,4,6,1,2,3]=>4
[5,4,6,1,3,2]=>6
[5,4,6,2,1,3]=>2
[5,4,6,2,3,1]=>4
[5,4,6,3,1,2]=>4
[5,4,6,3,2,1]=>6
[5,6,1,2,3,4]=>3
[5,6,1,2,4,3]=>6
[5,6,1,3,2,4]=>6
[5,6,1,3,4,2]=>4
[5,6,1,4,2,3]=>5
[5,6,1,4,3,2]=>6
[5,6,2,1,3,4]=>6
[5,6,2,1,4,3]=>3
[5,6,2,3,1,4]=>4
[5,6,2,3,4,1]=>6
[5,6,2,4,1,3]=>6
[5,6,2,4,3,1]=>5
[5,6,3,1,2,4]=>5
[5,6,3,1,4,2]=>6
[5,6,3,2,1,4]=>6
[5,6,3,2,4,1]=>5
[5,6,3,4,1,2]=>2
[5,6,3,4,2,1]=>4
[5,6,4,1,2,3]=>6
[5,6,4,1,3,2]=>4
[5,6,4,2,1,3]=>4
[5,6,4,2,3,1]=>6
[5,6,4,3,1,2]=>2
[5,6,4,3,2,1]=>4
[6,1,2,3,4,5]=>6
[6,1,2,3,5,4]=>5
[6,1,2,4,3,5]=>5
[6,1,2,4,5,3]=>4
[6,1,2,5,3,4]=>6
[6,1,2,5,4,3]=>4
[6,1,3,2,4,5]=>5
[6,1,3,2,5,4]=>4
[6,1,3,4,2,5]=>4
[6,1,3,4,5,2]=>3
[6,1,3,5,2,4]=>5
[6,1,3,5,4,2]=>6
[6,1,4,2,3,5]=>6
[6,1,4,2,5,3]=>5
[6,1,4,3,2,5]=>4
[6,1,4,3,5,2]=>6
[6,1,4,5,2,3]=>6
[6,1,4,5,3,2]=>3
[6,1,5,2,3,4]=>4
[6,1,5,2,4,3]=>6
[6,1,5,3,2,4]=>6
[6,1,5,3,4,2]=>3
[6,1,5,4,2,3]=>5
[6,1,5,4,3,2]=>6
[6,2,1,3,4,5]=>5
[6,2,1,3,5,4]=>4
[6,2,1,4,3,5]=>4
[6,2,1,4,5,3]=>3
[6,2,1,5,3,4]=>5
[6,2,1,5,4,3]=>6
[6,2,3,1,4,5]=>4
[6,2,3,1,5,4]=>3
[6,2,3,4,1,5]=>3
[6,2,3,4,5,1]=>2
[6,2,3,5,1,4]=>4
[6,2,3,5,4,1]=>2
[6,2,4,1,3,5]=>5
[6,2,4,1,5,3]=>4
[6,2,4,3,1,5]=>6
[6,2,4,3,5,1]=>2
[6,2,4,5,1,3]=>5
[6,2,4,5,3,1]=>6
[6,2,5,1,3,4]=>6
[6,2,5,1,4,3]=>5
[6,2,5,3,1,4]=>5
[6,2,5,3,4,1]=>6
[6,2,5,4,1,3]=>4
[6,2,5,4,3,1]=>2
[6,3,1,2,4,5]=>6
[6,3,1,2,5,4]=>5
[6,3,1,4,2,5]=>5
[6,3,1,4,5,2]=>4
[6,3,1,5,2,4]=>6
[6,3,1,5,4,2]=>4
[6,3,2,1,4,5]=>4
[6,3,2,1,5,4]=>6
[6,3,2,4,1,5]=>6
[6,3,2,4,5,1]=>2
[6,3,2,5,1,4]=>4
[6,3,2,5,4,1]=>2
[6,3,4,1,2,5]=>6
[6,3,4,1,5,2]=>5
[6,3,4,2,1,5]=>3
[6,3,4,2,5,1]=>6
[6,3,4,5,1,2]=>6
[6,3,4,5,2,1]=>4
[6,3,5,1,2,4]=>3
[6,3,5,1,4,2]=>6
[6,3,5,2,1,4]=>6
[6,3,5,2,4,1]=>4
[6,3,5,4,1,2]=>5
[6,3,5,4,2,1]=>6
[6,4,1,2,3,5]=>4
[6,4,1,2,5,3]=>6
[6,4,1,3,2,5]=>6
[6,4,1,3,5,2]=>5
[6,4,1,5,2,3]=>3
[6,4,1,5,3,2]=>6
[6,4,2,1,3,5]=>6
[6,4,2,1,5,3]=>5
[6,4,2,3,1,5]=>3
[6,4,2,3,5,1]=>6
[6,4,2,5,1,3]=>6
[6,4,2,5,3,1]=>4
[6,4,3,1,2,5]=>5
[6,4,3,1,5,2]=>4
[6,4,3,2,1,5]=>6
[6,4,3,2,5,1]=>2
[6,4,3,5,1,2]=>5
[6,4,3,5,2,1]=>6
[6,4,5,1,2,3]=>6
[6,4,5,1,3,2]=>4
[6,4,5,2,1,3]=>4
[6,4,5,2,3,1]=>2
[6,4,5,3,1,2]=>6
[6,4,5,3,2,1]=>4
[6,5,1,2,3,4]=>6
[6,5,1,2,4,3]=>3
[6,5,1,3,2,4]=>4
[6,5,1,3,4,2]=>6
[6,5,1,4,2,3]=>6
[6,5,1,4,3,2]=>5
[6,5,2,1,3,4]=>3
[6,5,2,1,4,3]=>6
[6,5,2,3,1,4]=>6
[6,5,2,3,4,1]=>4
[6,5,2,4,1,3]=>5
[6,5,2,4,3,1]=>6
[6,5,3,1,2,4]=>6
[6,5,3,1,4,2]=>5
[6,5,3,2,1,4]=>5
[6,5,3,2,4,1]=>6
[6,5,3,4,1,2]=>4
[6,5,3,4,2,1]=>2
[6,5,4,1,2,3]=>4
[6,5,4,1,3,2]=>6
[6,5,4,2,1,3]=>6
[6,5,4,2,3,1]=>4
[6,5,4,3,1,2]=>4
[6,5,4,3,2,1]=>2
[1,2,3,4,5,6,7]=>1
[1,2,3,4,5,7,6]=>2
[1,2,3,4,6,5,7]=>2
[1,2,3,4,6,7,5]=>3
[1,2,3,4,7,5,6]=>3
[1,2,3,4,7,6,5]=>2
[1,2,3,5,4,6,7]=>2
[1,2,3,5,4,7,6]=>2
[1,2,3,5,6,4,7]=>3
[1,2,3,5,6,7,4]=>4
[1,2,3,5,7,4,6]=>4
[1,2,3,5,7,6,4]=>3
[1,2,3,6,4,5,7]=>3
[1,2,3,6,4,7,5]=>4
[1,2,3,6,7,4,5]=>2
[1,2,3,6,7,5,4]=>4
[1,2,3,7,4,5,6]=>4
[1,2,3,7,4,6,5]=>3
[1,2,3,7,5,4,6]=>3
[1,2,3,7,5,6,4]=>2
[1,2,3,7,6,4,5]=>4
[1,2,3,7,6,5,4]=>2
[1,2,4,3,5,6,7]=>2
[1,2,4,3,5,7,6]=>2
[1,2,4,3,6,5,7]=>2
[1,2,4,3,6,7,5]=>6
[1,2,4,3,7,5,6]=>6
[1,2,4,3,7,6,5]=>2
[1,2,4,5,3,6,7]=>3
[1,2,4,5,3,7,6]=>6
[1,2,4,5,6,3,7]=>4
[1,2,4,5,6,7,3]=>5
[1,2,4,5,7,3,6]=>5
[1,2,4,5,7,6,3]=>4
[1,2,4,6,3,5,7]=>4
[1,2,4,6,3,7,5]=>5
[1,2,4,6,7,3,5]=>6
[1,2,4,6,7,5,3]=>5
[1,2,4,7,3,5,6]=>5
[1,2,4,7,5,6,3]=>3
[1,2,4,7,6,5,3]=>6
[1,2,5,3,4,6,7]=>3
[1,2,5,3,4,7,6]=>6
[1,2,5,3,6,4,7]=>4
[1,2,5,3,6,7,4]=>5
[1,2,5,3,7,4,6]=>5
[1,2,5,4,3,7,6]=>2
[1,2,5,4,6,7,3]=>4
[1,2,5,6,3,4,7]=>2
[1,2,5,6,3,7,4]=>6
[1,2,5,6,7,3,4]=>5
[1,2,5,6,7,4,3]=>6
[1,2,5,7,3,4,6]=>6
[1,2,5,7,3,6,4]=>2
[1,2,5,7,4,3,6]=>5
[1,2,5,7,6,3,4]=>6
[1,2,5,7,6,4,3]=>5
[1,2,6,3,4,5,7]=>4
[1,2,6,3,4,7,5]=>5
[1,2,6,3,5,7,4]=>4
[1,2,6,3,7,4,5]=>6
[1,2,6,3,7,5,4]=>5
[1,2,6,4,3,7,5]=>4
[1,2,6,4,7,3,5]=>2
[1,2,6,5,3,7,4]=>5
[1,2,6,5,4,7,3]=>6
[1,2,6,5,7,3,4]=>6
[1,2,6,7,3,4,5]=>5
[1,2,6,7,4,3,5]=>6
[1,2,6,7,4,5,3]=>5
[1,2,6,7,5,3,4]=>2
[1,2,6,7,5,4,3]=>4
[1,2,7,3,4,5,6]=>5
[1,2,7,3,4,6,5]=>4
[1,2,7,3,5,4,6]=>4
[1,2,7,3,5,6,4]=>3
[1,2,7,3,6,5,4]=>6
[1,2,7,4,3,5,6]=>4
[1,2,7,4,3,6,5]=>3
[1,2,7,4,5,3,6]=>3
[1,2,7,4,5,6,3]=>2
[1,2,7,5,3,4,6]=>5
[1,2,7,5,6,3,4]=>5
[1,2,7,5,6,4,3]=>6
[1,2,7,6,3,4,5]=>6
[1,2,7,6,3,5,4]=>5
[1,2,7,6,4,3,5]=>5
[1,2,7,6,4,5,3]=>6
[1,2,7,6,5,3,4]=>4
[1,2,7,6,5,4,3]=>2
[1,3,2,4,5,6,7]=>2
[1,3,2,4,5,7,6]=>2
[1,3,2,4,6,5,7]=>2
[1,3,2,4,6,7,5]=>6
[1,3,2,4,7,5,6]=>6
[1,3,2,4,7,6,5]=>2
[1,3,2,5,4,6,7]=>2
[1,3,2,5,4,7,6]=>2
[1,3,2,5,6,4,7]=>6
[1,3,2,5,6,7,4]=>4
[1,3,2,5,7,4,6]=>4
[1,3,2,6,4,5,7]=>6
[1,3,2,6,4,7,5]=>4
[1,3,2,6,7,4,5]=>2
[1,3,2,7,4,5,6]=>4
[1,3,4,2,5,6,7]=>3
[1,3,4,2,5,7,6]=>6
[1,3,4,2,6,5,7]=>6
[1,3,4,2,6,7,5]=>3
[1,3,4,2,7,5,6]=>3
[1,3,4,2,7,6,5]=>6
[1,3,4,5,2,6,7]=>4
[1,3,4,5,2,7,6]=>4
[1,3,4,5,6,2,7]=>5
[1,3,4,5,6,7,2]=>6
[1,3,4,5,7,2,6]=>6
[1,3,4,5,7,6,2]=>5
[1,3,4,6,2,5,7]=>5
[1,3,4,6,2,7,5]=>6
[1,3,4,6,7,2,5]=>4
[1,3,4,6,7,5,2]=>6
[1,3,4,7,2,5,6]=>6
[1,3,4,7,2,6,5]=>5
[1,3,4,7,5,6,2]=>4
[1,3,4,7,6,5,2]=>4
[1,3,5,2,4,6,7]=>4
[1,3,5,2,4,7,6]=>4
[1,3,5,2,6,4,7]=>5
[1,3,5,2,6,7,4]=>6
[1,3,5,2,7,4,6]=>6
[1,3,5,2,7,6,4]=>5
[1,3,5,6,2,4,7]=>6
[1,3,5,6,2,7,4]=>3
[1,3,5,6,7,2,4]=>6
[1,3,5,6,7,4,2]=>4
[1,3,5,7,2,4,6]=>3
[1,3,5,7,2,6,4]=>6
[1,3,5,7,6,4,2]=>6
[1,3,6,2,4,5,7]=>5
[1,3,6,2,4,7,5]=>6
[1,3,6,2,5,7,4]=>5
[1,3,6,2,7,4,5]=>4
[1,3,6,4,2,7,5]=>5
[1,3,6,4,5,7,2]=>4
[1,3,6,7,2,4,5]=>6
[1,3,6,7,2,5,4]=>4
[1,3,6,7,4,5,2]=>6
[1,3,6,7,5,4,2]=>5
[1,3,7,2,4,5,6]=>6
[1,3,7,2,6,5,4]=>4
[1,3,7,4,2,6,5]=>4
[1,3,7,4,5,6,2]=>3
[1,3,7,5,2,4,6]=>6
[1,3,7,5,2,6,4]=>5
[1,3,7,5,6,4,2]=>3
[1,3,7,6,2,5,4]=>6
[1,3,7,6,4,5,2]=>3
[1,3,7,6,5,4,2]=>6
[1,4,2,3,5,6,7]=>3
[1,4,2,3,5,7,6]=>6
[1,4,2,3,6,5,7]=>6
[1,4,2,3,6,7,5]=>3
[1,4,2,3,7,5,6]=>3
[1,4,2,3,7,6,5]=>6
[1,4,2,5,3,6,7]=>4
[1,4,2,5,3,7,6]=>4
[1,4,2,5,6,3,7]=>5
[1,4,2,5,6,7,3]=>6
[1,4,2,5,7,3,6]=>6
[1,4,2,5,7,6,3]=>5
[1,4,2,6,3,5,7]=>5
[1,4,2,6,3,7,5]=>6
[1,4,2,6,7,3,5]=>4
[1,4,2,7,3,5,6]=>6
[1,4,2,7,3,6,5]=>5
[1,4,2,7,6,3,5]=>6
[1,4,2,7,6,5,3]=>4
[1,4,3,2,7,6,5]=>2
[1,4,3,5,6,7,2]=>5
[1,4,5,2,3,6,7]=>2
[1,4,5,2,3,7,6]=>2
[1,4,5,2,6,3,7]=>6
[1,4,5,2,6,7,3]=>4
[1,4,5,2,7,3,6]=>4
[1,4,5,2,7,6,3]=>6
[1,4,5,3,7,6,2]=>5
[1,4,5,6,2,3,7]=>5
[1,4,5,6,2,7,3]=>6
[1,4,5,6,7,2,3]=>3
[1,4,5,6,7,3,2]=>6
[1,4,5,7,2,3,6]=>6
[1,4,5,7,2,6,3]=>5
[1,4,5,7,6,2,3]=>6
[1,4,5,7,6,3,2]=>3
[1,4,6,2,3,5,7]=>6
[1,4,6,2,3,7,5]=>4
[1,4,6,2,7,3,5]=>2
[1,4,6,2,7,5,3]=>4
[1,4,6,7,2,3,5]=>4
[1,4,6,7,5,2,3]=>5
[1,4,6,7,5,3,2]=>6
[1,4,7,2,3,5,6]=>4
[1,4,7,2,3,6,5]=>6
[1,4,7,2,5,6,3]=>2
[1,4,7,2,6,5,3]=>2
[1,4,7,3,2,6,5]=>5
[1,4,7,3,5,2,6]=>5
[1,4,7,3,6,5,2]=>4
[1,4,7,5,6,2,3]=>4
[1,4,7,5,6,3,2]=>6
[1,4,7,6,2,5,3]=>4
[1,4,7,6,5,2,3]=>6
[1,4,7,6,5,3,2]=>5
[1,5,2,3,4,6,7]=>4
[1,5,2,3,4,7,6]=>4
[1,5,2,3,6,4,7]=>5
[1,5,2,3,6,7,4]=>6
[1,5,2,3,7,4,6]=>6
[1,5,2,3,7,6,4]=>5
[1,5,2,4,6,7,3]=>5
[1,5,2,4,7,6,3]=>4
[1,5,2,6,3,4,7]=>6
[1,5,2,6,3,7,4]=>3
[1,5,2,6,7,3,4]=>6
[1,5,2,6,7,4,3]=>4
[1,5,2,7,3,4,6]=>3
[1,5,2,7,3,6,4]=>6
[1,5,2,7,4,6,3]=>5
[1,5,2,7,6,4,3]=>6
[1,5,3,2,4,7,6]=>6
[1,5,3,2,6,7,4]=>5
[1,5,3,2,7,6,4]=>4
[1,5,3,4,2,7,6]=>2
[1,5,3,4,6,7,2]=>4
[1,5,3,4,7,6,2]=>3
[1,5,3,6,7,2,4]=>5
[1,5,3,7,2,4,6]=>6
[1,5,3,7,2,6,4]=>2
[1,5,3,7,4,6,2]=>4
[1,5,3,7,6,4,2]=>5
[1,5,4,2,7,6,3]=>5
[1,5,4,3,2,7,6]=>2
[1,5,4,3,7,6,2]=>6
[1,5,4,7,2,6,3]=>6
[1,5,4,7,6,3,2]=>6
[1,5,6,2,3,4,7]=>5
[1,5,6,2,3,7,4]=>6
[1,5,6,2,4,7,3]=>3
[1,5,6,2,7,3,4]=>4
[1,5,6,3,2,7,4]=>4
[1,5,6,3,4,7,2]=>6
[1,5,6,3,7,2,4]=>6
[1,5,6,4,7,2,3]=>5
[1,5,6,4,7,3,2]=>6
[1,5,6,7,2,3,4]=>2
[1,5,6,7,2,4,3]=>4
[1,5,6,7,3,2,4]=>4
[1,5,6,7,3,4,2]=>6
[1,5,6,7,4,2,3]=>6
[1,5,6,7,4,3,2]=>4
[1,5,7,2,3,4,6]=>6
[1,5,7,2,6,4,3]=>4
[1,5,7,3,2,6,4]=>6
[1,5,7,3,4,6,2]=>5
[1,5,7,3,6,4,2]=>6
[1,5,7,4,2,6,3]=>2
[1,5,7,4,6,2,3]=>6
[1,5,7,6,2,3,4]=>4
[1,5,7,6,2,4,3]=>2
[1,5,7,6,3,2,4]=>6
[1,5,7,6,3,4,2]=>4
[1,5,7,6,4,2,3]=>4
[1,5,7,6,4,3,2]=>6
[1,6,2,3,4,5,7]=>5
[1,6,2,3,4,7,5]=>6
[1,6,2,3,5,7,4]=>5
[1,6,2,3,7,4,5]=>4
[1,6,2,3,7,5,4]=>6
[1,6,2,4,7,5,3]=>5
[1,6,2,7,3,4,5]=>6
[1,6,2,7,5,4,3]=>5
[1,6,3,2,4,7,5]=>5
[1,6,3,2,5,7,4]=>4
[1,6,3,2,7,4,5]=>6
[1,6,3,2,7,5,4]=>5
[1,6,3,4,2,7,5]=>4
[1,6,3,4,5,7,2]=>3
[1,6,3,4,7,2,5]=>2
[1,6,3,5,2,7,4]=>5
[1,6,3,7,2,4,5]=>5
[1,6,3,7,2,5,4]=>6
[1,6,3,7,4,2,5]=>6
[1,6,3,7,4,5,2]=>5
[1,6,3,7,5,2,4]=>2
[1,6,4,2,3,7,5]=>6
[1,6,5,4,3,7,2]=>6
[1,6,5,4,7,3,2]=>5
[1,6,5,7,4,3,2]=>6
[1,6,7,2,3,4,5]=>3
[1,6,7,3,2,4,5]=>6
[1,6,7,3,4,2,5]=>4
[1,6,7,3,4,5,2]=>6
[1,6,7,3,5,2,4]=>6
[1,6,7,4,2,3,5]=>5
[1,6,7,4,3,2,5]=>6
[1,6,7,4,5,2,3]=>2
[1,6,7,4,5,3,2]=>4
[1,6,7,5,2,3,4]=>6
[1,6,7,5,3,2,4]=>4
[1,6,7,5,3,4,2]=>6
[1,6,7,5,4,2,3]=>2
[1,6,7,5,4,3,2]=>4
[1,7,2,3,4,5,6]=>6
[1,7,2,3,4,6,5]=>5
[1,7,2,3,6,5,4]=>4
[1,7,2,4,5,6,3]=>3
[1,7,2,5,6,3,4]=>6
[1,7,3,2,4,5,6]=>5
[1,7,3,2,4,6,5]=>4
[1,7,3,2,5,6,4]=>3
[1,7,3,2,6,4,5]=>5
[1,7,3,4,2,5,6]=>4
[1,7,3,4,2,6,5]=>3
[1,7,3,4,5,2,6]=>3
[1,7,3,4,5,6,2]=>2
[1,7,3,5,2,4,6]=>5
[1,7,3,5,6,4,2]=>6
[1,7,3,6,2,5,4]=>5
[1,7,3,6,5,4,2]=>2
[1,7,4,2,3,5,6]=>6
[1,7,4,2,3,6,5]=>5
[1,7,4,2,6,3,5]=>6
[1,7,4,2,6,5,3]=>4
[1,7,4,3,2,6,5]=>6
[1,7,4,3,6,5,2]=>2
[1,7,4,5,2,3,6]=>6
[1,7,4,5,2,6,3]=>5
[1,7,4,5,3,6,2]=>6
[1,7,4,5,6,2,3]=>6
[1,7,4,5,6,3,2]=>4
[1,7,4,6,2,5,3]=>6
[1,7,4,6,5,3,2]=>6
[1,7,5,2,3,4,6]=>4
[1,7,5,2,4,6,3]=>5
[1,7,5,3,2,4,6]=>6
[1,7,5,3,2,6,4]=>5
[1,7,5,4,3,6,2]=>2
[1,7,5,4,6,3,2]=>6
[1,7,5,6,2,3,4]=>6
[1,7,5,6,3,2,4]=>4
[1,7,5,6,3,4,2]=>2
[1,7,5,6,4,2,3]=>6
[1,7,5,6,4,3,2]=>4
[1,7,6,2,3,4,5]=>6
[1,7,6,2,5,4,3]=>5
[1,7,6,3,2,4,5]=>3
[1,7,6,3,2,5,4]=>6
[1,7,6,3,4,2,5]=>6
[1,7,6,3,4,5,2]=>4
[1,7,6,3,5,4,2]=>6
[1,7,6,4,2,3,5]=>6
[1,7,6,4,5,2,3]=>4
[1,7,6,4,5,3,2]=>2
[1,7,6,5,2,3,4]=>4
[1,7,6,5,2,4,3]=>6
[1,7,6,5,3,2,4]=>6
[1,7,6,5,3,4,2]=>4
[1,7,6,5,4,2,3]=>4
[1,7,6,5,4,3,2]=>2
[2,1,3,4,5,6,7]=>2
[2,1,3,4,5,7,6]=>2
[2,1,3,4,6,7,5]=>6
[2,1,3,4,7,5,6]=>6
[2,1,3,5,4,6,7]=>2
[2,1,3,5,7,6,4]=>6
[2,1,3,6,4,7,5]=>4
[2,1,3,6,7,4,5]=>2
[2,1,3,7,4,5,6]=>4
[2,1,3,7,5,4,6]=>6
[2,1,3,7,6,4,5]=>4
[2,1,3,7,6,5,4]=>2
[2,1,4,3,6,5,7]=>2
[2,1,4,5,6,3,7]=>4
[2,1,4,7,3,5,6]=>10
[2,1,4,7,3,6,5]=>4
[2,1,4,7,5,3,6]=>4
[2,1,4,7,5,6,3]=>6
[2,1,4,7,6,5,3]=>6
[2,1,5,3,4,7,6]=>6
[2,1,5,6,4,3,7]=>4
[2,1,5,6,7,3,4]=>10
[2,1,6,3,4,5,7]=>4
[2,1,6,3,4,7,5]=>10
[2,1,6,3,7,4,5]=>6
[2,1,6,4,5,3,7]=>2
[2,1,6,5,3,4,7]=>4
[2,1,6,5,4,3,7]=>2
[2,1,6,5,7,3,4]=>6
[2,1,6,7,3,4,5]=>10
[2,1,6,7,4,3,5]=>6
[2,1,6,7,5,3,4]=>2
[2,1,7,3,4,5,6]=>10
[2,1,7,3,4,6,5]=>4
[2,1,7,3,5,4,6]=>4
[2,1,7,3,6,4,5]=>10
[2,1,7,3,6,5,4]=>6
[2,1,7,5,3,4,6]=>10
[2,1,7,6,3,5,4]=>10
[2,1,7,6,5,3,4]=>4
[2,1,7,6,5,4,3]=>2
[2,3,1,4,5,6,7]=>3
[2,3,1,4,5,7,6]=>6
[2,3,1,4,7,6,5]=>6
[2,3,1,5,7,4,6]=>12
[2,3,1,6,4,7,5]=>12
[2,3,1,7,4,5,6]=>12
[2,3,1,7,4,6,5]=>3
[2,3,1,7,5,6,4]=>6
[2,3,4,1,5,6,7]=>4
[2,3,4,1,5,7,6]=>4
[2,3,4,1,7,6,5]=>4
[2,3,4,5,1,6,7]=>5
[2,3,4,5,1,7,6]=>10
[2,3,4,5,6,1,7]=>6
[2,3,4,5,6,7,1]=>7
[2,3,4,5,7,1,6]=>7
[2,3,4,5,7,6,1]=>6
[2,3,4,6,1,7,5]=>7
[2,3,4,6,5,7,1]=>6
[2,3,4,6,7,1,5]=>10
[2,3,4,6,7,5,1]=>7
[2,3,4,7,1,5,6]=>7
[2,3,4,7,1,6,5]=>6
[2,3,4,7,5,6,1]=>5
[2,3,4,7,6,1,5]=>7
[2,3,4,7,6,5,1]=>10
[2,3,5,1,6,7,4]=>7
[2,3,5,1,7,4,6]=>7
[2,3,5,1,7,6,4]=>6
[2,3,5,4,6,7,1]=>6
[2,3,5,4,7,6,1]=>5
[2,3,5,6,1,7,4]=>12
[2,3,5,6,4,7,1]=>7
[2,3,5,6,7,1,4]=>7
[2,3,5,6,7,4,1]=>10
[2,3,5,7,1,4,6]=>12
[2,3,5,7,1,6,4]=>4
[2,3,5,7,4,1,6]=>7
[2,3,5,7,6,1,4]=>10
[2,3,5,7,6,4,1]=>7
[2,3,6,1,4,7,5]=>7
[2,3,6,1,7,4,5]=>10
[2,3,6,1,7,5,4]=>7
[2,3,6,4,5,7,1]=>5
[2,3,6,4,7,5,1]=>6
[2,3,6,5,1,7,4]=>7
[2,3,6,5,4,7,1]=>10
[2,3,6,5,7,1,4]=>12
[2,3,6,5,7,4,1]=>7
[2,3,6,7,1,4,5]=>7
[2,3,6,7,4,5,1]=>7
[2,3,6,7,5,1,4]=>4
[2,3,6,7,5,4,1]=>6
[2,3,7,1,4,5,6]=>7
[2,3,7,1,4,6,5]=>6
[2,3,7,1,5,4,6]=>6
[2,3,7,1,5,6,4]=>5
[2,3,7,1,6,4,5]=>7
[2,3,7,4,5,6,1]=>4
[2,3,7,4,6,1,5]=>6
[2,3,7,4,6,5,1]=>4
[2,3,7,5,1,4,6]=>7
[2,3,7,5,4,1,6]=>10
[2,3,7,5,4,6,1]=>4
[2,3,7,5,6,1,4]=>7
[2,3,7,5,6,4,1]=>12
[2,3,7,6,1,4,5]=>10
[2,3,7,6,5,1,4]=>6
[2,3,7,6,5,4,1]=>4
[2,4,1,3,5,6,7]=>4
[2,4,1,3,7,5,6]=>12
[2,4,1,3,7,6,5]=>4
[2,4,1,5,3,7,6]=>10
[2,4,1,5,6,7,3]=>7
[2,4,1,5,7,3,6]=>7
[2,4,1,6,3,7,5]=>7
[2,4,1,6,7,3,5]=>10
[2,4,1,6,7,5,3]=>7
[2,4,1,7,3,5,6]=>7
[2,4,1,7,3,6,5]=>6
[2,4,1,7,6,3,5]=>7
[2,4,3,1,7,6,5]=>6
[2,4,3,5,6,7,1]=>6
[2,4,3,5,7,6,1]=>5
[2,4,3,6,5,7,1]=>5
[2,4,3,6,7,1,5]=>4
[2,4,3,6,7,5,1]=>6
[2,4,3,7,5,6,1]=>4
[2,4,3,7,6,5,1]=>4
[2,4,5,1,6,7,3]=>12
[2,4,5,1,7,3,6]=>12
[2,4,5,1,7,6,3]=>3
[2,4,5,3,6,7,1]=>7
[2,4,5,3,7,1,6]=>7
[2,4,5,3,7,6,1]=>6
[2,4,5,6,1,7,3]=>7
[2,4,5,6,3,7,1]=>10
[2,4,5,6,7,1,3]=>12
[2,4,5,6,7,3,1]=>7
[2,4,5,7,1,3,6]=>7
[2,4,5,7,3,1,6]=>10
[2,4,5,7,6,1,3]=>7
[2,4,5,7,6,3,1]=>12
[2,4,6,1,3,7,5]=>12
[2,4,6,1,5,7,3]=>3
[2,4,6,1,7,3,5]=>6
[2,4,6,3,1,7,5]=>7
[2,4,6,3,7,5,1]=>7
[2,4,6,5,3,7,1]=>7
[2,4,6,5,7,3,1]=>10
[2,4,6,7,1,3,5]=>10
[2,4,6,7,1,5,3]=>7
[2,4,6,7,3,5,1]=>12
[2,4,6,7,5,3,1]=>4
[2,4,7,1,3,5,6]=>12
[2,4,7,1,5,3,6]=>3
[2,4,7,1,5,6,3]=>6
[2,4,7,1,6,3,5]=>12
[2,4,7,3,1,5,6]=>7
[2,4,7,3,6,1,5]=>7
[2,4,7,6,5,1,3]=>4
[2,4,7,6,5,3,1]=>6
[2,5,1,3,4,6,7]=>5
[2,5,1,3,6,7,4]=>7
[2,5,1,3,7,4,6]=>7
[2,5,1,3,7,6,4]=>6
[2,5,1,4,7,6,3]=>5
[2,5,1,6,3,7,4]=>12
[2,5,1,6,4,7,3]=>7
[2,5,1,6,7,3,4]=>7
[2,5,1,6,7,4,3]=>10
[2,5,1,7,3,4,6]=>12
[2,5,1,7,3,6,4]=>4
[2,5,1,7,4,3,6]=>7
[2,5,1,7,6,3,4]=>10
[2,5,1,7,6,4,3]=>7
[2,5,3,1,7,4,6]=>6
[2,5,3,1,7,6,4]=>5
[2,5,3,4,6,7,1]=>5
[2,5,3,4,7,6,1]=>4
[2,5,3,6,4,7,1]=>6
[2,5,3,6,7,1,4]=>6
[2,5,3,6,7,4,1]=>4
[2,5,3,7,6,1,4]=>4
[2,5,4,1,6,7,3]=>7
[2,5,4,1,7,3,6]=>7
[2,5,4,3,6,7,1]=>10
[2,5,4,3,7,1,6]=>10
[2,5,4,3,7,6,1]=>4
[2,5,4,6,3,7,1]=>7
[2,5,4,6,7,1,3]=>7
[2,5,4,6,7,3,1]=>12
[2,5,4,7,1,3,6]=>12
[2,5,4,7,6,1,3]=>12
[2,5,4,7,6,3,1]=>7
[2,5,6,1,3,7,4]=>7
[2,5,6,1,4,7,3]=>12
[2,5,6,1,7,3,4]=>10
[2,5,6,3,4,7,1]=>7
[2,5,6,3,7,4,1]=>12
[2,5,6,4,3,7,1]=>6
[2,5,6,4,7,1,3]=>6
[2,5,6,4,7,3,1]=>4
[2,5,6,7,1,3,4]=>6
[2,5,6,7,3,1,4]=>10
[2,5,6,7,4,3,1]=>10
[2,5,7,1,3,4,6]=>7
[2,5,7,1,4,6,3]=>4
[2,5,7,3,1,4,6]=>12
[2,5,7,3,4,1,6]=>7
[2,5,7,3,6,1,4]=>12
[2,5,7,6,4,1,3]=>10
[2,5,7,6,4,3,1]=>7
[2,6,1,3,4,5,7]=>6
[2,6,1,3,4,7,5]=>7
[2,6,1,3,7,4,5]=>10
[2,6,1,3,7,5,4]=>7
[2,6,1,5,3,7,4]=>7
[2,6,1,5,7,4,3]=>7
[2,6,1,7,3,4,5]=>7
[2,6,1,7,4,5,3]=>7
[2,6,3,1,7,4,5]=>4
[2,6,3,4,5,7,1]=>4
[2,6,3,5,4,7,1]=>4
[2,6,3,5,7,1,4]=>3
[2,6,3,7,1,4,5]=>6
[2,6,3,7,4,1,5]=>3
[2,6,3,7,4,5,1]=>6
[2,6,4,1,3,7,5]=>7
[2,6,4,1,7,3,5]=>10
[2,6,4,3,5,7,1]=>4
[2,6,4,5,1,7,3]=>7
[2,6,4,5,3,7,1]=>12
[2,6,4,5,7,3,1]=>7
[2,6,4,7,3,5,1]=>7
[2,6,4,7,5,3,1]=>6
[2,6,5,1,3,7,4]=>10
[2,6,5,1,7,3,4]=>7
[2,6,5,4,3,1,7]=>6
[2,6,5,4,3,7,1]=>4
[2,6,5,4,7,3,1]=>6
[2,6,5,7,1,3,4]=>10
[2,6,5,7,4,3,1]=>7
[2,6,7,1,3,4,5]=>12
[2,6,7,1,4,5,3]=>10
[2,6,7,1,5,3,4]=>6
[2,6,7,3,4,5,1]=>7
[2,6,7,4,3,1,5]=>3
[2,6,7,4,3,5,1]=>6
[2,6,7,5,4,3,1]=>10
[2,7,1,3,4,5,6]=>7
[2,7,1,3,4,6,5]=>6
[2,7,1,3,6,4,5]=>7
[2,7,1,4,5,3,6]=>5
[2,7,1,5,3,4,6]=>7
[2,7,1,5,4,3,6]=>10
[2,7,1,5,6,3,4]=>7
[2,7,1,6,3,4,5]=>10
[2,7,1,6,5,4,3]=>4
[2,7,3,1,4,6,5]=>5
[2,7,3,4,1,5,6]=>5
[2,7,3,4,1,6,5]=>4
[2,7,3,4,5,6,1]=>3
[2,7,3,4,6,1,5]=>5
[2,7,3,4,6,5,1]=>6
[2,7,3,5,4,6,1]=>6
[2,7,3,5,6,4,1]=>3
[2,7,3,6,1,4,5]=>4
[2,7,3,6,5,1,4]=>5
[2,7,3,6,5,4,1]=>6
[2,7,4,1,3,5,6]=>7
[2,7,4,1,5,3,6]=>6
[2,7,4,1,6,3,5]=>7
[2,7,4,3,5,1,6]=>4
[2,7,4,3,5,6,1]=>6
[2,7,4,3,6,1,5]=>10
[2,7,4,3,6,5,1]=>6
[2,7,4,5,1,3,6]=>7
[2,7,4,5,3,1,6]=>12
[2,7,4,5,3,6,1]=>3
[2,7,4,5,6,1,3]=>7
[2,7,4,5,6,3,1]=>12
[2,7,4,6,1,3,5]=>12
[2,7,4,6,5,1,3]=>6
[2,7,4,6,5,3,1]=>3
[2,7,5,1,3,4,6]=>10
[2,7,5,1,6,3,4]=>12
[2,7,5,3,4,1,6]=>12
[2,7,5,4,3,6,1]=>6
[2,7,5,4,6,3,1]=>3
[2,7,6,1,3,4,5]=>7
[2,7,6,1,4,3,5]=>10
[2,7,6,1,5,4,3]=>6
[2,7,6,3,1,4,5]=>12
[2,7,6,3,5,1,4]=>6
[2,7,6,4,5,3,1]=>6
[2,7,6,5,1,3,4]=>10
[2,7,6,5,1,4,3]=>7
[2,7,6,5,4,1,3]=>10
[2,7,6,5,4,3,1]=>6
[3,1,2,4,5,6,7]=>3
[3,1,2,4,5,7,6]=>6
[3,1,2,4,6,7,5]=>3
[3,1,2,4,7,5,6]=>3
[3,1,2,6,4,5,7]=>3
[3,1,2,6,4,7,5]=>12
[3,1,2,6,7,4,5]=>6
[3,1,2,7,4,5,6]=>12
[3,1,2,7,6,4,5]=>12
[3,1,2,7,6,5,4]=>6
[3,1,4,2,5,7,6]=>4
[3,1,4,2,6,7,5]=>12
[3,1,4,5,2,7,6]=>10
[3,1,4,5,6,7,2]=>7
[3,1,4,5,7,2,6]=>7
[3,1,4,6,2,7,5]=>7
[3,1,4,6,7,2,5]=>10
[3,1,4,6,7,5,2]=>7
[3,1,4,7,2,5,6]=>7
[3,1,4,7,2,6,5]=>6
[3,1,4,7,5,6,2]=>5
[3,1,4,7,6,2,5]=>7
[3,1,5,2,4,6,7]=>5
[3,1,5,2,4,7,6]=>10
[3,1,5,2,6,7,4]=>7
[3,1,5,2,7,4,6]=>7
[3,1,5,4,6,7,2]=>6
[3,1,5,6,2,4,7]=>4
[3,1,5,6,2,7,4]=>12
[3,1,5,6,4,7,2]=>7
[3,1,5,6,7,2,4]=>7
[3,1,5,6,7,4,2]=>10
[3,1,5,7,2,4,6]=>12
[3,1,5,7,4,2,6]=>7
[3,1,5,7,6,2,4]=>10
[3,1,6,2,4,5,7]=>6
[3,1,6,2,4,7,5]=>7
[3,1,6,2,5,7,4]=>6
[3,1,6,2,7,4,5]=>10
[3,1,6,2,7,5,4]=>7
[3,1,6,4,2,7,5]=>6
[3,1,6,4,5,7,2]=>5
[3,1,6,5,2,7,4]=>7
[3,1,6,5,4,7,2]=>10
[3,1,6,7,2,4,5]=>7
[3,1,6,7,2,5,4]=>10
[3,1,6,7,4,5,2]=>7
[3,1,7,2,4,5,6]=>7
[3,1,7,2,4,6,5]=>6
[3,1,7,2,5,6,4]=>5
[3,1,7,2,6,4,5]=>7
[3,1,7,4,2,6,5]=>5
[3,1,7,4,5,6,2]=>4
[3,1,7,5,2,4,6]=>7
[3,1,7,5,2,6,4]=>6
[3,1,7,5,6,2,4]=>7
[3,1,7,6,2,4,5]=>10
[3,1,7,6,2,5,4]=>7
[3,1,7,6,5,4,2]=>4
[3,2,1,4,5,6,7]=>2
[3,2,1,5,4,6,7]=>2
[3,2,4,1,5,6,7]=>3
[3,2,4,5,1,6,7]=>4
[3,2,4,5,6,1,7]=>5
[3,2,4,5,6,7,1]=>6
[3,2,4,5,7,6,1]=>5
[3,2,4,6,1,7,5]=>6
[3,2,4,6,5,7,1]=>5
[3,2,4,6,7,1,5]=>4
[3,2,4,6,7,5,1]=>6
[3,2,4,7,1,5,6]=>6
[3,2,4,7,5,6,1]=>4
[3,2,4,7,6,5,1]=>4
[3,2,5,1,6,7,4]=>6
[3,2,5,4,6,7,1]=>5
[3,2,5,4,7,6,1]=>4
[3,2,5,6,1,7,4]=>3
[3,2,5,6,4,7,1]=>6
[3,2,5,6,7,1,4]=>6
[3,2,5,6,7,4,1]=>4
[3,2,5,7,1,6,4]=>6
[3,2,5,7,6,4,1]=>6
[3,2,6,1,4,5,7]=>5
[3,2,6,1,7,4,5]=>4
[3,2,6,4,5,7,1]=>4
[3,2,6,5,1,4,7]=>5
[3,2,6,5,1,7,4]=>6
[3,2,6,5,4,1,7]=>6
[3,2,6,5,4,7,1]=>4
[3,2,6,5,7,1,4]=>3
[3,2,6,5,7,4,1]=>6
[3,2,6,7,1,5,4]=>4
[3,2,6,7,4,1,5]=>3
[3,2,6,7,5,4,1]=>5
[3,2,7,4,5,6,1]=>3
[3,2,7,4,6,5,1]=>6
[3,2,7,5,4,6,1]=>6
[3,2,7,5,6,1,4]=>6
[3,2,7,5,6,4,1]=>3
[3,2,7,6,5,1,4]=>5
[3,2,7,6,5,4,1]=>6
[3,4,1,2,5,6,7]=>2
[3,4,1,2,5,7,6]=>2
[3,4,1,2,6,7,5]=>6
[3,4,1,2,7,5,6]=>6
[3,4,1,5,2,7,6]=>6
[3,4,1,5,6,7,2]=>10
[3,4,1,5,7,2,6]=>10
[3,4,1,6,2,5,7]=>4
[3,4,1,6,2,7,5]=>10
[3,4,1,6,5,7,2]=>4
[3,4,1,6,7,2,5]=>6
[3,4,1,7,2,5,6]=>10
[3,4,1,7,2,6,5]=>4
[3,4,1,7,5,6,2]=>6
[3,4,1,7,6,2,5]=>10
[3,4,2,1,5,6,7]=>4
[3,4,2,5,1,6,7]=>5
[3,4,2,5,6,1,7]=>6
[3,4,2,5,6,7,1]=>7
[3,4,2,5,7,1,6]=>7
[3,4,2,5,7,6,1]=>6
[3,4,2,6,1,7,5]=>7
[3,4,2,6,5,7,1]=>6
[3,4,2,6,7,5,1]=>7
[3,4,2,7,1,5,6]=>7
[3,4,2,7,6,5,1]=>10
[3,4,5,1,2,6,7]=>5
[3,4,5,1,2,7,6]=>10
[3,4,5,1,6,7,2]=>7
[3,4,5,1,7,2,6]=>7
[3,4,5,1,7,6,2]=>6
[3,4,5,2,1,6,7]=>6
[3,4,5,2,6,1,7]=>4
[3,4,5,2,6,7,1]=>10
[3,4,5,2,7,1,6]=>10
[3,4,5,2,7,6,1]=>4
[3,4,5,6,1,2,7]=>3
[3,4,5,6,1,7,2]=>12
[3,4,5,6,2,1,7]=>6
[3,4,5,6,2,7,1]=>7
[3,4,5,6,7,1,2]=>7
[3,4,5,6,7,2,1]=>12
[3,4,5,7,1,2,6]=>12
[3,4,5,7,1,6,2]=>3
[3,4,5,7,2,1,6]=>7
[3,4,5,7,6,2,1]=>7
[3,4,6,1,2,5,7]=>6
[3,4,6,1,2,7,5]=>7
[3,4,6,1,5,2,7]=>5
[3,4,6,1,7,2,5]=>10
[3,4,6,1,7,5,2]=>7
[3,4,6,2,1,5,7]=>4
[3,4,6,2,1,7,5]=>10
[3,4,6,2,7,1,5]=>6
[3,4,6,2,7,5,1]=>10
[3,4,6,5,2,7,1]=>12
[3,4,6,5,7,1,2]=>12
[3,4,6,5,7,2,1]=>7
[3,4,6,7,1,2,5]=>7
[3,4,6,7,1,5,2]=>12
[3,4,6,7,2,1,5]=>12
[3,4,6,7,2,5,1]=>7
[3,4,6,7,5,1,2]=>3
[3,4,6,7,5,2,1]=>6
[3,4,7,1,2,5,6]=>7
[3,4,7,1,2,6,5]=>6
[3,4,7,1,5,6,2]=>5
[3,4,7,2,1,5,6]=>10
[3,4,7,2,1,6,5]=>4
[3,4,7,2,5,1,6]=>4
[3,4,7,6,1,5,2]=>7
[3,4,7,6,2,1,5]=>7
[3,4,7,6,5,2,1]=>3
[3,5,1,2,4,6,7]=>6
[3,5,1,2,6,7,4]=>10
[3,5,1,2,7,4,6]=>10
[3,5,1,2,7,6,4]=>4
[3,5,1,4,2,6,7]=>2
[3,5,1,4,6,7,2]=>4
[3,5,1,4,7,2,6]=>4
[3,5,1,4,7,6,2]=>6
[3,5,1,6,2,4,7]=>2
[3,5,1,6,2,7,4]=>6
[3,5,1,6,4,7,2]=>10
[3,5,1,6,7,2,4]=>10
[3,5,1,6,7,4,2]=>6
[3,5,1,7,2,4,6]=>6
[3,5,1,7,2,6,4]=>2
[3,5,1,7,4,6,2]=>4
[3,5,2,1,4,6,7]=>5
[3,5,2,1,4,7,6]=>10
[3,5,2,1,6,7,4]=>7
[3,5,2,1,7,4,6]=>7
[3,5,2,6,1,4,7]=>4
[3,5,2,6,1,7,4]=>12
[3,5,2,6,4,7,1]=>7
[3,5,2,6,7,1,4]=>7
[3,5,2,6,7,4,1]=>10
[3,5,2,7,1,6,4]=>4
[3,5,2,7,4,1,6]=>7
[3,5,4,1,7,2,6]=>12
[3,5,4,2,6,7,1]=>7
[3,5,4,2,7,6,1]=>6
[3,5,4,6,1,7,2]=>7
[3,5,4,6,2,7,1]=>10
[3,5,4,6,7,2,1]=>7
[3,5,4,7,1,6,2]=>6
[3,5,4,7,2,1,6]=>10
[3,5,4,7,6,2,1]=>12
[3,5,6,1,2,4,7]=>4
[3,5,6,1,2,7,4]=>10
[3,5,6,1,4,2,7]=>6
[3,5,6,1,7,2,4]=>7
[3,5,6,2,4,7,1]=>12
[3,5,6,2,7,1,4]=>12
[3,5,6,2,7,4,1]=>7
[3,5,6,4,1,2,7]=>5
[3,5,6,4,2,1,7]=>6
[3,5,6,4,2,7,1]=>4
[3,5,6,4,7,1,2]=>3
[3,5,6,4,7,2,1]=>6
[3,5,6,7,1,2,4]=>10
[3,5,6,7,2,1,4]=>6
[3,5,6,7,4,1,2]=>12
[3,5,6,7,4,2,1]=>7
[3,5,7,1,2,4,6]=>10
[3,5,7,1,4,6,2]=>6
[3,5,7,2,1,4,6]=>7
[3,5,7,2,4,1,6]=>12
[3,5,7,2,6,1,4]=>7
[3,5,7,4,1,6,2]=>5
[3,5,7,4,2,1,6]=>4
[3,5,7,6,1,4,2]=>10
[3,5,7,6,2,1,4]=>10
[3,5,7,6,4,2,1]=>12
[3,6,1,2,4,5,7]=>4
[3,6,1,2,4,7,5]=>10
[3,6,1,2,7,4,5]=>6
[3,6,1,4,5,2,7]=>2
[3,6,1,4,5,7,2]=>6
[3,6,1,4,7,2,5]=>2
[3,6,1,4,7,5,2]=>4
[3,6,1,5,7,4,2]=>10
[3,6,1,7,2,4,5]=>10
[3,6,1,7,2,5,4]=>6
[3,6,1,7,5,4,2]=>4
[3,6,2,1,4,7,5]=>7
[3,6,2,1,5,4,7]=>5
[3,6,2,1,7,5,4]=>7
[3,6,2,4,1,5,7]=>5
[3,6,2,4,1,7,5]=>6
[3,6,2,4,7,1,5]=>4
[3,6,2,7,1,5,4]=>10
[3,6,2,7,4,5,1]=>7
[3,6,2,7,5,1,4]=>4
[3,6,4,7,1,5,2]=>7
[3,6,4,7,2,5,1]=>12
[3,6,5,2,1,7,4]=>12
[3,6,5,2,7,1,4]=>7
[3,6,5,4,2,1,7]=>5
[3,6,5,4,2,7,1]=>6
[3,6,5,4,7,2,1]=>4
[3,6,5,7,4,2,1]=>10
[3,6,7,1,2,4,5]=>7
[3,6,7,1,4,2,5]=>10
[3,6,7,1,5,4,2]=>6
[3,6,7,2,1,5,4]=>7
[3,6,7,2,4,5,1]=>12
[3,6,7,2,5,4,1]=>3
[3,6,7,4,1,5,2]=>6
[3,6,7,4,5,1,2]=>5
[3,6,7,5,4,2,1]=>6
[3,7,1,2,4,5,6]=>10
[3,7,1,2,6,4,5]=>10
[3,7,1,4,2,5,6]=>4
[3,7,1,4,5,6,2]=>2
[3,7,1,5,2,6,4]=>4
[3,7,1,5,4,6,2]=>2
[3,7,2,1,4,5,6]=>7
[3,7,2,1,5,6,4]=>5
[3,7,2,4,1,6,5]=>5
[3,7,2,4,5,1,6]=>5
[3,7,2,5,1,4,6]=>7
[3,7,2,5,4,1,6]=>10
[3,7,2,6,4,1,5]=>7
[3,7,4,1,2,6,5]=>3
[3,7,4,6,1,5,2]=>10
[3,7,4,6,2,1,5]=>12
[3,7,5,1,4,2,6]=>12
[3,7,5,1,6,2,4]=>7
[3,7,5,2,4,1,6]=>7
[3,7,5,6,2,1,4]=>7
[3,7,6,1,4,5,2]=>10
[3,7,6,2,1,4,5]=>7
[3,7,6,2,4,1,5]=>12
[3,7,6,5,1,4,2]=>10
[3,7,6,5,2,1,4]=>12
[3,7,6,5,4,2,1]=>10
[4,1,2,3,5,6,7]=>4
[4,1,2,3,5,7,6]=>4
[4,1,2,3,7,5,6]=>12
[4,1,2,5,3,7,6]=>10
[4,1,2,5,6,7,3]=>7
[4,1,2,5,7,3,6]=>7
[4,1,2,5,7,6,3]=>6
[4,1,2,6,3,5,7]=>6
[4,1,2,6,3,7,5]=>7
[4,1,2,6,5,7,3]=>6
[4,1,2,6,7,3,5]=>10
[4,1,2,6,7,5,3]=>7
[4,1,2,7,3,5,6]=>7
[4,1,2,7,3,6,5]=>6
[4,1,2,7,6,3,5]=>7
[4,1,3,2,5,6,7]=>3
[4,1,3,2,7,6,5]=>6
[4,1,3,6,2,7,5]=>6
[4,1,3,7,2,6,5]=>5
[4,1,5,2,3,6,7]=>6
[4,1,5,2,3,7,6]=>6
[4,1,5,2,6,7,3]=>12
[4,1,5,2,7,3,6]=>12
[4,1,5,2,7,6,3]=>3
[4,1,5,3,2,7,6]=>10
[4,1,5,3,6,7,2]=>7
[4,1,5,3,7,2,6]=>7
[4,1,5,6,2,3,7]=>6
[4,1,5,6,2,7,3]=>7
[4,1,5,6,3,7,2]=>10
[4,1,5,6,7,2,3]=>12
[4,1,5,6,7,3,2]=>7
[4,1,5,7,2,3,6]=>7
[4,1,5,7,2,6,3]=>6
[4,1,5,7,3,2,6]=>10
[4,1,5,7,3,6,2]=>4
[4,1,6,2,3,5,7]=>3
[4,1,6,2,3,7,5]=>12
[4,1,6,2,5,7,3]=>3
[4,1,6,2,7,3,5]=>6
[4,1,6,2,7,5,3]=>12
[4,1,6,3,2,7,5]=>7
[4,1,6,3,7,5,2]=>7
[4,1,6,5,7,3,2]=>10
[4,1,6,7,2,3,5]=>10
[4,1,6,7,3,5,2]=>12
[4,1,6,7,5,3,2]=>4
[4,1,7,2,3,5,6]=>12
[4,1,7,2,3,6,5]=>3
[4,1,7,3,2,5,6]=>7
[4,1,7,3,5,6,2]=>5
[4,1,7,6,5,3,2]=>6
[4,2,1,3,5,6,7]=>3
[4,2,1,3,6,7,5]=>3
[4,2,1,3,7,5,6]=>3
[4,2,1,5,3,7,6]=>4
[4,2,1,5,6,3,7]=>5
[4,2,1,5,6,7,3]=>6
[4,2,1,5,7,3,6]=>6
[4,2,1,6,7,3,5]=>4
[4,2,1,7,3,6,5]=>5
[4,2,1,7,5,6,3]=>4
[4,2,3,1,5,6,7]=>2
[4,2,3,5,1,6,7]=>3
[4,2,3,5,6,1,7]=>4
[4,2,3,5,6,7,1]=>5
[4,2,3,5,7,1,6]=>5
[4,2,3,5,7,6,1]=>4
[4,2,3,6,1,7,5]=>5
[4,2,3,6,5,7,1]=>4
[4,2,3,6,7,1,5]=>6
[4,2,3,7,5,6,1]=>3
[4,2,3,7,6,1,5]=>5
[4,2,3,7,6,5,1]=>6
[4,2,5,1,3,6,7]=>2
[4,2,5,1,3,7,6]=>2
[4,2,5,1,6,7,3]=>4
[4,2,5,1,7,3,6]=>4
[4,2,5,1,7,6,3]=>6
[4,2,5,3,6,7,1]=>6
[4,2,5,6,1,3,7]=>5
[4,2,5,6,1,7,3]=>6
[4,2,5,6,3,7,1]=>4
[4,2,5,6,7,1,3]=>3
[4,2,5,7,1,6,3]=>5
[4,2,5,7,3,1,6]=>4
[4,2,6,1,5,3,7]=>2
[4,2,6,1,5,7,3]=>6
[4,2,6,1,7,3,5]=>2
[4,2,6,1,7,5,3]=>4
[4,2,6,3,1,5,7]=>5
[4,2,6,3,1,7,5]=>6
[4,2,6,3,7,1,5]=>4
[4,2,6,5,1,3,7]=>6
[4,2,6,5,7,1,3]=>6
[4,2,6,7,1,5,3]=>6
[4,2,6,7,5,1,3]=>5
[4,2,7,1,3,5,6]=>4
[4,2,7,1,5,6,3]=>2
[4,2,7,3,1,5,6]=>6
[4,2,7,3,1,6,5]=>5
[4,2,7,3,5,1,6]=>5
[4,2,7,5,3,1,6]=>6
[4,2,7,5,6,3,1]=>6
[4,2,7,6,3,1,5]=>3
[4,2,7,6,5,3,1]=>5
[4,3,1,2,5,6,7]=>4
[4,3,1,2,7,5,6]=>12
[4,3,1,5,6,7,2]=>7
[4,3,1,5,7,2,6]=>7
[4,3,1,6,2,7,5]=>7
[4,3,1,6,7,2,5]=>10
[4,3,1,7,2,5,6]=>7
[4,3,1,7,6,2,5]=>7
[4,3,1,7,6,5,2]=>10
[4,3,2,1,5,6,7]=>2
[4,3,2,1,5,7,6]=>2
[4,3,2,5,1,6,7]=>6
[4,3,2,5,1,7,6]=>6
[4,3,2,5,6,1,7]=>4
[4,3,2,5,6,7,1]=>10
[4,3,2,5,7,6,1]=>4
[4,3,2,6,5,7,1]=>4
[4,3,2,6,7,5,1]=>10
[4,3,2,7,5,6,1]=>6
[4,3,2,7,6,5,1]=>6
[4,3,5,1,2,6,7]=>6
[4,3,5,1,2,7,6]=>6
[4,3,5,1,6,7,2]=>10
[4,3,5,2,1,6,7]=>5
[4,3,5,2,6,1,7]=>6
[4,3,5,2,6,7,1]=>7
[4,3,5,2,7,6,1]=>6
[4,3,5,6,1,2,7]=>6
[4,3,5,6,2,1,7]=>3
[4,3,5,6,2,7,1]=>12
[4,3,5,6,7,2,1]=>7
[4,3,5,7,6,1,2]=>7
[4,3,5,7,6,2,1]=>12
[4,3,6,1,5,7,2]=>4
[4,3,6,2,1,7,5]=>7
[4,3,6,2,5,1,7]=>5
[4,3,6,2,7,1,5]=>10
[4,3,6,5,1,7,2]=>12
[4,3,6,5,2,1,7]=>6
[4,3,6,5,2,7,1]=>7
[4,3,6,5,7,2,1]=>12
[4,3,6,7,1,5,2]=>7
[4,3,6,7,5,2,1]=>3
[4,3,7,5,6,2,1]=>7
[4,3,7,6,1,2,5]=>7
[4,3,7,6,5,2,1]=>6
[4,5,1,2,3,6,7]=>5
[4,5,1,2,3,7,6]=>10
[4,5,1,2,6,7,3]=>7
[4,5,1,2,7,3,6]=>7
[4,5,1,2,7,6,3]=>6
[4,5,1,3,2,6,7]=>6
[4,5,1,3,6,7,2]=>12
[4,5,1,3,7,2,6]=>12
[4,5,1,3,7,6,2]=>3
[4,5,1,6,2,3,7]=>4
[4,5,1,6,2,7,3]=>10
[4,5,1,6,7,2,3]=>7
[4,5,1,7,2,3,6]=>10
[4,5,2,1,3,6,7]=>6
[4,5,2,1,6,7,3]=>10
[4,5,2,3,1,6,7]=>5
[4,5,2,3,6,1,7]=>6
[4,5,2,3,6,7,1]=>7
[4,5,2,3,7,1,6]=>7
[4,5,2,6,3,7,1]=>12
[4,5,2,6,7,1,3]=>12
[4,5,2,6,7,3,1]=>7
[4,5,2,7,1,3,6]=>7
[4,5,2,7,1,6,3]=>6
[4,5,2,7,3,1,6]=>12
[4,5,2,7,6,1,3]=>7
[4,5,3,1,2,6,7]=>2
[4,5,3,2,1,6,7]=>4
[4,5,3,2,6,1,7]=>5
[4,5,3,2,6,7,1]=>6
[4,5,3,2,7,6,1]=>5
[4,5,3,6,1,2,7]=>5
[4,5,3,6,2,1,7]=>6
[4,5,3,6,2,7,1]=>4
[4,5,3,6,7,1,2]=>3
[4,5,3,6,7,2,1]=>6
[4,5,3,7,1,6,2]=>5
[4,5,3,7,2,1,6]=>4
[4,5,3,7,6,2,1]=>3
[4,5,6,1,2,3,7]=>2
[4,5,6,1,2,7,3]=>6
[4,5,6,1,3,7,2]=>10
[4,5,6,1,7,2,3]=>10
[4,5,6,1,7,3,2]=>6
[4,5,6,2,1,3,7]=>4
[4,5,6,2,1,7,3]=>12
[4,5,6,2,3,1,7]=>6
[4,5,6,2,3,7,1]=>7
[4,5,6,3,1,2,7]=>6
[4,5,6,3,1,7,2]=>7
[4,5,6,3,2,1,7]=>4
[4,5,6,3,2,7,1]=>10
[4,5,6,3,7,1,2]=>12
[4,5,6,3,7,2,1]=>7
[4,5,6,7,1,2,3]=>7
[4,5,6,7,1,3,2]=>10
[4,5,6,7,2,1,3]=>10
[4,5,6,7,3,1,2]=>7
[4,5,6,7,3,2,1]=>12
[4,5,7,1,2,3,6]=>6
[4,5,7,1,2,6,3]=>2
[4,5,7,1,6,3,2]=>10
[4,5,7,2,1,6,3]=>4
[4,5,7,2,6,1,3]=>10
[4,5,7,3,1,6,2]=>6
[4,5,7,3,2,1,6]=>10
[4,5,7,3,6,2,1]=>12
[4,5,7,6,2,1,3]=>6
[4,5,7,6,3,2,1]=>7
[4,6,1,2,3,5,7]=>6
[4,6,1,2,3,7,5]=>7
[4,6,1,2,7,3,5]=>10
[4,6,1,3,5,2,7]=>6
[4,6,1,3,5,7,2]=>3
[4,6,1,3,7,2,5]=>6
[4,6,1,5,7,2,3]=>10
[4,6,1,7,2,3,5]=>7
[4,6,2,1,7,5,3]=>10
[4,6,2,3,1,7,5]=>7
[4,6,2,3,7,1,5]=>10
[4,6,2,3,7,5,1]=>7
[4,6,2,7,1,3,5]=>12
[4,6,2,7,1,5,3]=>7
[4,6,2,7,3,5,1]=>12
[4,6,2,7,5,1,3]=>6
[4,6,2,7,5,3,1]=>3
[4,6,3,1,5,2,7]=>2
[4,6,3,1,7,5,2]=>4
[4,6,3,2,1,5,7]=>5
[4,6,3,2,7,1,5]=>4
[4,6,3,7,1,5,2]=>6
[4,6,3,7,2,5,1]=>3
[4,6,3,7,5,1,2]=>5
[4,6,3,7,5,2,1]=>6
[4,6,5,2,7,1,3]=>12
[4,6,5,2,7,3,1]=>7
[4,6,5,3,2,1,7]=>6
[4,6,5,3,2,7,1]=>7
[4,6,5,3,7,2,1]=>10
[4,6,5,7,1,2,3]=>10
[4,6,5,7,3,2,1]=>6
[4,6,7,1,2,3,5]=>10
[4,6,7,1,5,2,3]=>2
[4,6,7,3,1,5,2]=>7
[4,6,7,3,2,5,1]=>12
[4,6,7,3,5,1,2]=>6
[4,6,7,3,5,2,1]=>4
[4,6,7,5,2,1,3]=>10
[4,6,7,5,3,2,1]=>10
[4,7,1,2,3,5,6]=>7
[4,7,1,2,5,6,3]=>5
[4,7,1,2,6,3,5]=>7
[4,7,1,3,5,6,2]=>6
[4,7,1,5,6,3,2]=>10
[4,7,2,1,3,5,6]=>10
[4,7,2,1,5,3,6]=>4
[4,7,2,1,5,6,3]=>6
[4,7,2,1,6,3,5]=>10
[4,7,2,3,1,5,6]=>7
[4,7,2,5,1,3,6]=>12
[4,7,2,5,6,1,3]=>12
[4,7,2,6,1,3,5]=>7
[4,7,3,1,5,6,2]=>2
[4,7,3,1,6,2,5]=>4
[4,7,3,2,1,6,5]=>5
[4,7,3,2,5,1,6]=>5
[4,7,3,5,1,6,2]=>6
[4,7,3,5,2,1,6]=>6
[4,7,3,6,2,1,5]=>3
[4,7,5,6,3,2,1]=>10
[4,7,6,1,2,5,3]=>10
[4,7,6,1,5,3,2]=>2
[4,7,6,2,1,3,5]=>10
[4,7,6,2,5,1,3]=>6
[4,7,6,3,1,5,2]=>10
[4,7,6,3,2,1,5]=>12
[4,7,6,5,3,2,1]=>7
[5,1,2,3,4,6,7]=>5
[5,1,2,3,4,7,6]=>10
[5,1,2,3,6,4,7]=>6
[5,1,2,3,6,7,4]=>7
[5,1,2,3,7,4,6]=>7
[5,1,2,6,3,4,7]=>4
[5,1,2,6,3,7,4]=>12
[5,1,2,6,4,7,3]=>7
[5,1,2,6,7,3,4]=>7
[5,1,2,6,7,4,3]=>10
[5,1,2,7,3,4,6]=>12
[5,1,2,7,3,6,4]=>4
[5,1,2,7,4,3,6]=>7
[5,1,3,4,2,6,7]=>3
[5,1,3,4,7,6,2]=>4
[5,1,3,6,4,7,2]=>6
[5,1,3,6,7,4,2]=>4
[5,1,3,7,2,4,6]=>3
[5,1,3,7,2,6,4]=>6
[5,1,3,7,4,6,2]=>5
[5,1,4,2,6,7,3]=>7
[5,1,4,2,7,3,6]=>7
[5,1,4,2,7,6,3]=>6
[5,1,4,6,2,7,3]=>12
[5,1,6,2,3,4,7]=>6
[5,1,6,2,3,7,4]=>7
[5,1,6,2,7,3,4]=>10
[5,1,6,3,2,7,4]=>12
[5,1,6,3,4,7,2]=>7
[5,1,6,3,7,4,2]=>12
[5,1,6,4,7,3,2]=>4
[5,1,6,7,2,3,4]=>6
[5,1,6,7,4,3,2]=>10
[5,1,7,2,3,4,6]=>7
[5,1,7,3,4,2,6]=>7
[5,1,7,4,2,6,3]=>6
[5,1,7,4,3,6,2]=>5
[5,1,7,6,4,3,2]=>7
[5,2,1,3,4,6,7]=>4
[5,2,1,3,7,4,6]=>6
[5,2,1,4,3,6,7]=>3
[5,2,1,6,3,7,4]=>3
[5,2,1,6,4,3,7]=>5
[5,2,1,6,7,3,4]=>6
[5,2,1,6,7,4,3]=>4
[5,2,1,7,4,6,3]=>5
[5,2,3,1,4,6,7]=>3
[5,2,3,1,4,7,6]=>6
[5,2,3,1,6,7,4]=>5
[5,2,3,1,7,4,6]=>5
[5,2,3,4,1,6,7]=>2
[5,2,3,4,6,1,7]=>3
[5,2,3,4,6,7,1]=>4
[5,2,3,4,7,1,6]=>4
[5,2,3,4,7,6,1]=>3
[5,2,3,6,1,4,7]=>2
[5,2,3,6,1,7,4]=>6
[5,2,3,6,7,1,4]=>5
[5,2,3,7,1,4,6]=>6
[5,2,3,7,1,6,4]=>2
[5,2,3,7,4,1,6]=>5
[5,2,3,7,6,4,1]=>5
[5,2,4,3,6,7,1]=>4
[5,2,4,3,7,6,1]=>6
[5,2,4,6,3,7,1]=>6
[5,2,4,7,3,1,6]=>6
[5,2,4,7,6,3,1]=>6
[5,2,6,1,4,3,7]=>6
[5,2,6,1,4,7,3]=>3
[5,2,6,3,4,7,1]=>6
[5,2,6,3,7,1,4]=>6
[5,2,6,4,1,3,7]=>2
[5,2,6,4,7,1,3]=>5
[5,2,6,7,1,3,4]=>2
[5,2,6,7,3,1,4]=>4
[5,2,6,7,3,4,1]=>6
[5,2,6,7,4,1,3]=>6
[5,2,7,1,4,6,3]=>6
[5,2,7,3,1,4,6]=>4
[5,2,7,3,1,6,4]=>6
[5,2,7,3,4,1,6]=>6
[5,2,7,4,1,6,3]=>2
[5,2,7,4,3,1,6]=>5
[5,2,7,6,3,4,1]=>4
[5,3,1,2,4,6,7]=>5
[5,3,1,2,6,7,4]=>7
[5,3,1,2,7,4,6]=>7
[5,3,1,4,7,6,2]=>5
[5,3,1,6,4,7,2]=>7
[5,3,1,6,7,4,2]=>10
[5,3,1,7,2,4,6]=>12
[5,3,1,7,2,6,4]=>4
[5,3,1,7,4,2,6]=>7
[5,3,1,7,6,4,2]=>7
[5,3,2,1,4,6,7]=>6
[5,3,2,1,4,7,6]=>6
[5,3,2,4,1,6,7]=>2
[5,3,2,4,6,1,7]=>6
[5,3,2,4,6,7,1]=>4
[5,3,2,4,7,6,1]=>6
[5,3,2,6,1,4,7]=>2
[5,3,2,6,4,1,7]=>4
[5,3,4,1,2,6,7]=>5
[5,3,4,1,6,7,2]=>7
[5,3,4,1,7,2,6]=>7
[5,3,4,2,1,6,7]=>6
[5,3,4,2,6,1,7]=>3
[5,3,4,2,6,7,1]=>12
[5,3,4,2,7,6,1]=>3
[5,3,4,6,1,2,7]=>4
[5,3,4,6,2,1,7]=>6
[5,3,4,6,2,7,1]=>7
[5,3,4,7,2,6,1]=>6
[5,3,6,1,2,7,4]=>7
[5,3,6,1,4,7,2]=>12
[5,3,6,1,7,4,2]=>7
[5,3,6,2,1,4,7]=>4
[5,3,6,2,4,1,7]=>6
[5,3,6,2,4,7,1]=>7
[5,3,6,2,7,1,4]=>7
[5,3,6,7,1,4,2]=>10
[5,3,6,7,2,1,4]=>10
[5,3,6,7,2,4,1]=>7
[5,3,6,7,4,2,1]=>12
[5,3,7,1,6,2,4]=>7
[5,3,7,1,6,4,2]=>12
[5,3,7,2,1,4,6]=>10
[5,3,7,4,1,2,6]=>4
[5,3,7,4,2,1,6]=>6
[5,3,7,6,4,1,2]=>12
[5,3,7,6,4,2,1]=>7
[5,4,1,2,3,6,7]=>6
[5,4,1,2,6,7,3]=>10
[5,4,1,2,7,3,6]=>10
[5,4,1,6,2,7,3]=>7
[5,4,1,6,7,3,2]=>7
[5,4,1,7,6,2,3]=>7
[5,4,1,7,6,3,2]=>12
[5,4,2,1,3,6,7]=>5
[5,4,2,1,3,7,6]=>10
[5,4,2,1,6,7,3]=>7
[5,4,2,1,7,3,6]=>7
[5,4,2,3,1,6,7]=>6
[5,4,2,3,6,1,7]=>3
[5,4,2,6,1,3,7]=>4
[5,4,2,6,1,7,3]=>10
[5,4,2,6,7,1,3]=>7
[5,4,2,7,3,1,6]=>7
[5,4,3,1,2,6,7]=>4
[5,4,3,1,7,6,2]=>5
[5,4,3,2,1,6,7]=>2
[5,4,3,2,1,7,6]=>2
[5,4,3,2,6,1,7]=>6
[5,4,3,2,6,7,1]=>4
[5,4,3,2,7,1,6]=>4
[5,4,3,2,7,6,1]=>6
[5,4,3,6,1,2,7]=>6
[5,4,3,6,1,7,2]=>4
[5,4,3,6,2,1,7]=>5
[5,4,3,6,2,7,1]=>6
[5,4,3,6,7,2,1]=>3
[5,4,3,7,6,2,1]=>6
[5,4,6,1,2,3,7]=>4
[5,4,6,1,7,3,2]=>10
[5,4,6,2,1,3,7]=>2
[5,4,6,2,3,1,7]=>4
[5,4,6,2,7,1,3]=>10
[5,4,6,3,1,2,7]=>4
[5,4,6,3,1,7,2]=>10
[5,4,6,3,2,1,7]=>6
[5,4,6,3,2,7,1]=>7
[5,4,6,3,7,2,1]=>12
[5,4,6,7,3,2,1]=>7
[5,4,7,2,1,3,6]=>6
[5,4,7,3,6,1,2]=>12
[5,4,7,3,6,2,1]=>7
[5,4,7,6,3,2,1]=>12
[5,6,1,2,3,4,7]=>3
[5,6,1,2,3,7,4]=>12
[5,6,1,2,4,7,3]=>7
[5,6,1,2,7,3,4]=>7
[5,6,1,3,4,7,2]=>12
[5,6,1,4,3,2,7]=>6
[5,6,1,7,2,3,4]=>10
[5,6,2,1,3,4,7]=>6
[5,6,2,1,7,4,3]=>7
[5,6,2,3,1,4,7]=>4
[5,6,2,3,4,1,7]=>6
[5,6,2,3,4,7,1]=>7
[5,6,2,3,7,4,1]=>12
[5,6,2,4,7,1,3]=>6
[5,6,2,7,3,1,4]=>10
[5,6,2,7,3,4,1]=>7
[5,6,2,7,4,1,3]=>7
[5,6,2,7,4,3,1]=>12
[5,6,3,1,2,4,7]=>5
[5,6,3,1,4,2,7]=>6
[5,6,3,2,1,4,7]=>6
[5,6,3,2,4,1,7]=>5
[5,6,3,2,4,7,1]=>6
[5,6,3,2,7,1,4]=>6
[5,6,3,2,7,4,1]=>3
[5,6,3,4,1,2,7]=>2
[5,6,3,4,2,1,7]=>4
[5,6,3,4,7,1,2]=>5
[5,6,3,7,1,2,4]=>2
[5,6,3,7,2,1,4]=>4
[5,6,3,7,4,1,2]=>6
[5,6,3,7,4,2,1]=>4
[5,6,4,1,2,3,7]=>6
[5,6,4,1,3,7,2]=>12
[5,6,4,2,1,3,7]=>4
[5,6,4,2,3,1,7]=>6
[5,6,4,3,1,2,7]=>2
[5,6,4,3,2,1,7]=>4
[5,6,4,3,2,7,1]=>10
[5,6,4,3,7,2,1]=>6
[5,6,4,7,2,3,1]=>7
[5,6,4,7,3,2,1]=>10
[5,6,7,1,2,3,4]=>7
[5,6,7,1,2,4,3]=>10
[5,6,7,1,3,2,4]=>10
[5,6,7,1,3,4,2]=>7
[5,6,7,1,4,2,3]=>6
[5,6,7,2,3,4,1]=>12
[5,6,7,3,1,2,4]=>6
[5,6,7,3,1,4,2]=>10
[5,6,7,3,4,2,1]=>10
[5,6,7,4,1,2,3]=>2
[5,6,7,4,1,3,2]=>4
[5,6,7,4,2,3,1]=>6
[5,6,7,4,3,1,2]=>6
[5,6,7,4,3,2,1]=>4
[5,7,1,2,3,4,6]=>12
[5,7,1,2,3,6,4]=>3
[5,7,1,2,6,3,4]=>12
[5,7,1,2,6,4,3]=>7
[5,7,1,3,2,4,6]=>7
[5,7,1,3,2,6,4]=>6
[5,7,1,3,6,4,2]=>10
[5,7,1,4,3,6,2]=>6
[5,7,1,6,2,4,3]=>10
[5,7,1,6,4,3,2]=>10
[5,7,2,1,4,3,6]=>12
[5,7,2,1,6,3,4]=>7
[5,7,2,3,1,4,6]=>10
[5,7,2,3,4,1,6]=>7
[5,7,2,3,6,1,4]=>12
[5,7,2,4,1,6,3]=>6
[5,7,2,6,1,3,4]=>10
[5,7,2,6,4,1,3]=>12
[5,7,2,6,4,3,1]=>7
[5,7,3,1,4,6,2]=>6
[5,7,3,2,1,4,6]=>4
[5,7,3,2,1,6,4]=>6
[5,7,3,2,4,1,6]=>6
[5,7,3,2,6,1,4]=>3
[5,7,3,4,1,6,2]=>2
[5,7,3,4,2,1,6]=>5
[5,7,3,6,1,4,2]=>2
[5,7,3,6,2,1,4]=>6
[5,7,3,6,4,2,1]=>6
[5,7,4,1,2,6,3]=>6
[5,7,4,1,3,6,2]=>4
[5,7,4,1,6,3,2]=>10
[5,7,4,2,1,3,6]=>10
[5,7,4,2,6,1,3]=>12
[5,7,4,3,1,6,2]=>2
[5,7,4,3,2,1,6]=>10
[5,7,4,3,6,2,1]=>10
[5,7,4,6,3,1,2]=>10
[5,7,6,2,3,1,4]=>12
[5,7,6,4,3,2,1]=>6
[6,1,2,3,4,5,7]=>6
[6,1,2,3,4,7,5]=>7
[6,1,2,3,7,4,5]=>10
[6,1,2,3,7,5,4]=>7
[6,1,2,4,7,5,3]=>6
[6,1,2,5,3,7,4]=>7
[6,1,2,7,3,4,5]=>7
[6,1,2,7,3,5,4]=>10
[6,1,2,7,4,3,5]=>12
[6,1,2,7,4,5,3]=>7
[6,1,2,7,5,4,3]=>6
[6,1,3,4,2,7,5]=>5
[6,1,3,4,5,2,7]=>3
[6,1,3,4,5,7,2]=>4
[6,1,3,4,7,2,5]=>6
[6,1,3,4,7,5,2]=>5
[6,1,3,5,7,2,4]=>3
[6,1,3,7,2,4,5]=>6
[6,1,3,7,2,5,4]=>4
[6,1,3,7,4,2,5]=>3
[6,1,3,7,5,4,2]=>5
[6,1,4,2,3,7,5]=>7
[6,1,4,2,5,7,3]=>6
[6,1,4,2,7,5,3]=>7
[6,1,4,3,2,7,5]=>10
[6,1,4,3,7,5,2]=>10
[6,1,4,5,2,7,3]=>7
[6,1,4,7,2,5,3]=>12
[6,1,4,7,5,2,3]=>3
[6,1,4,7,5,3,2]=>6
[6,1,5,2,3,7,4]=>10
[6,1,5,2,7,3,4]=>7
[6,1,5,4,7,2,3]=>3
[6,1,7,2,3,4,5]=>12
[6,1,7,2,3,5,4]=>7
[6,1,7,2,4,3,5]=>7
[6,1,7,2,5,4,3]=>4
[6,1,7,3,2,5,4]=>12
[6,1,7,3,4,5,2]=>7
[6,1,7,3,5,4,2]=>6
[6,1,7,4,5,3,2]=>5
[6,1,7,5,2,3,4]=>7
[6,1,7,5,2,4,3]=>10
[6,1,7,5,4,3,2]=>10
[6,2,1,3,4,5,7]=>5
[6,2,1,3,7,4,5]=>4
[6,2,1,4,5,3,7]=>3
[6,2,1,4,7,3,5]=>6
[6,2,1,4,7,5,3]=>5
[6,2,1,5,4,3,7]=>6
[6,2,1,5,7,3,4]=>3
[6,2,1,7,5,4,3]=>5
[6,2,3,1,4,5,7]=>4
[6,2,3,1,5,4,7]=>3
[6,2,3,1,7,4,5]=>6
[6,2,3,1,7,5,4]=>5
[6,2,3,4,1,5,7]=>3
[6,2,3,4,1,7,5]=>4
[6,2,3,4,5,1,7]=>2
[6,2,3,4,5,7,1]=>3
[6,2,3,4,7,1,5]=>2
[6,2,3,4,7,5,1]=>4
[6,2,3,5,4,7,1]=>6
[6,2,3,5,7,4,1]=>5
[6,2,3,7,1,5,4]=>6
[6,2,3,7,4,1,5]=>6
[6,2,3,7,4,5,1]=>5
[6,2,3,7,5,1,4]=>2
[6,2,4,3,5,7,1]=>6
[6,2,4,3,7,1,5]=>2
[6,2,4,5,3,1,7]=>6
[6,2,4,5,3,7,1]=>3
[6,2,4,5,7,1,3]=>4
[6,2,4,5,7,3,1]=>6
[6,2,4,7,1,3,5]=>6
[6,2,4,7,5,1,3]=>6
[6,2,5,1,7,3,4]=>6
[6,2,5,3,1,7,4]=>6
[6,2,5,3,7,1,4]=>4
[6,2,5,4,3,1,7]=>2
[6,2,5,4,3,7,1]=>6
[6,2,5,7,3,4,1]=>4
[6,2,7,1,4,3,5]=>6
[6,2,7,1,5,4,3]=>6
[6,2,7,3,1,4,5]=>6
[6,2,7,3,4,5,1]=>6
[6,2,7,3,5,1,4]=>6
[6,2,7,4,1,5,3]=>6
[6,2,7,4,3,1,5]=>6
[6,2,7,4,5,1,3]=>2
[6,2,7,5,1,3,4]=>6
[6,2,7,5,1,4,3]=>4
[6,2,7,5,4,1,3]=>2
[6,3,1,2,4,5,7]=>6
[6,3,1,2,4,7,5]=>7
[6,3,1,2,7,4,5]=>10
[6,3,1,5,2,7,4]=>7
[6,3,1,5,4,7,2]=>10
[6,3,1,5,7,2,4]=>12
[6,3,1,5,7,4,2]=>7
[6,3,1,7,2,4,5]=>7
[6,3,1,7,4,5,2]=>7
[6,3,1,7,5,4,2]=>6
[6,3,2,1,4,5,7]=>4
[6,3,2,4,1,5,7]=>6
[6,3,2,4,5,1,7]=>2
[6,3,2,4,5,7,1]=>6
[6,3,2,5,1,4,7]=>4
[6,3,2,5,4,1,7]=>2
[6,3,2,5,4,7,1]=>6
[6,3,4,1,2,5,7]=>6
[6,3,4,1,2,7,5]=>7
[6,3,4,1,7,2,5]=>10
[6,3,4,1,7,5,2]=>7
[6,3,4,2,1,5,7]=>3
[6,3,4,2,5,1,7]=>6
[6,3,4,2,5,7,1]=>3
[6,3,4,5,1,2,7]=>6
[6,3,4,5,1,7,2]=>7
[6,3,4,5,2,1,7]=>4
[6,3,4,5,2,7,1]=>12
[6,3,4,5,7,1,2]=>10
[6,3,4,7,1,5,2]=>12
[6,3,4,7,2,1,5]=>10
[6,3,4,7,2,5,1]=>7
[6,3,4,7,5,1,2]=>4
[6,3,4,7,5,2,1]=>6
[6,3,5,1,2,7,4]=>12
[6,3,5,1,7,2,4]=>7
[6,3,5,4,2,1,7]=>6
[6,3,5,4,2,7,1]=>3
[6,3,5,7,1,2,4]=>10
[6,3,5,7,4,1,2]=>10
[6,3,5,7,4,2,1]=>7
[6,3,7,1,2,4,5]=>12
[6,3,7,1,2,5,4]=>7
[6,3,7,1,4,2,5]=>7
[6,3,7,1,4,5,2]=>12
[6,3,7,1,5,4,2]=>3
[6,3,7,2,1,4,5]=>7
[6,3,7,2,4,1,5]=>10
[6,3,7,2,4,5,1]=>7
[6,3,7,4,5,1,2]=>6
[6,3,7,4,5,2,1]=>5
[6,3,7,5,1,4,2]=>12
[6,3,7,5,2,1,4]=>10
[6,3,7,5,4,2,1]=>10
[6,4,1,2,3,5,7]=>4
[6,4,1,2,3,7,5]=>10
[6,4,1,2,7,5,3]=>10
[6,4,1,5,2,7,3]=>12
[6,4,1,5,7,2,3]=>7
[6,4,1,5,7,3,2]=>12
[6,4,1,7,2,3,5]=>12
[6,4,1,7,2,5,3]=>7
[6,4,1,7,5,2,3]=>6
[6,4,1,7,5,3,2]=>3
[6,4,2,1,3,5,7]=>6
[6,4,2,1,5,3,7]=>5
[6,4,2,1,7,5,3]=>7
[6,4,2,3,1,5,7]=>3
[6,4,2,3,1,7,5]=>12
[6,4,2,3,5,1,7]=>6
[6,4,2,3,7,1,5]=>6
[6,4,2,5,1,3,7]=>6
[6,4,2,5,7,1,3]=>10
[6,4,2,7,1,3,5]=>7
[6,4,2,7,3,5,1]=>7
[6,4,2,7,5,3,1]=>6
[6,4,3,1,2,5,7]=>5
[6,4,3,1,5,7,2]=>5
[6,4,3,2,1,5,7]=>6
[6,4,3,2,1,7,5]=>4
[6,4,3,2,5,1,7]=>2
[6,4,3,2,5,7,1]=>6
[6,4,3,2,7,1,5]=>2
[6,4,3,5,1,2,7]=>5
[6,4,3,5,1,7,2]=>6
[6,4,3,5,2,1,7]=>6
[6,4,3,5,2,7,1]=>3
[6,4,3,7,1,2,5]=>6
[6,4,5,1,2,3,7]=>6
[6,4,5,2,1,3,7]=>4
[6,4,5,2,1,7,3]=>10
[6,4,5,2,3,1,7]=>2
[6,4,5,2,7,1,3]=>6
[6,4,5,3,1,2,7]=>6
[6,4,5,3,2,1,7]=>4
[6,4,5,7,1,2,3]=>7
[6,4,5,7,3,2,1]=>10
[6,4,7,1,2,5,3]=>10
[6,4,7,1,3,5,2]=>7
[6,4,7,1,5,3,2]=>6
[6,4,7,2,1,3,5]=>10
[6,4,7,2,3,5,1]=>10
[6,4,7,2,5,1,3]=>2
[6,4,7,3,1,5,2]=>12
[6,4,7,3,2,1,5]=>10
[6,4,7,3,2,5,1]=>7
[6,4,7,3,5,2,1]=>6
[6,4,7,5,1,2,3]=>10
[6,4,7,5,2,1,3]=>6
[6,4,7,5,2,3,1]=>12
[6,4,7,5,3,1,2]=>10
[6,4,7,5,3,2,1]=>7
[6,5,1,2,3,4,7]=>6
[6,5,1,2,7,3,4]=>12
[6,5,1,2,7,4,3]=>7
[6,5,1,3,2,7,4]=>10
[6,5,1,3,7,4,2]=>12
[6,5,1,7,2,4,3]=>10
[6,5,1,7,4,3,2]=>12
[6,5,2,1,3,4,7]=>3
[6,5,2,1,4,3,7]=>6
[6,5,2,1,7,3,4]=>7
[6,5,2,3,1,4,7]=>6
[6,5,2,3,1,7,4]=>7
[6,5,2,3,4,1,7]=>4
[6,5,2,3,7,1,4]=>10
[6,5,2,7,1,3,4]=>10
[6,5,2,7,4,1,3]=>10
[6,5,3,1,2,4,7]=>6
[6,5,3,1,4,7,2]=>6
[6,5,3,2,1,4,7]=>5
[6,5,3,2,4,1,7]=>6
[6,5,3,4,1,2,7]=>4
[6,5,3,4,2,1,7]=>2
[6,5,3,4,2,7,1]=>6
[6,5,3,7,1,2,4]=>4
[6,5,3,7,1,4,2]=>6
[6,5,3,7,2,1,4]=>2
[6,5,4,1,2,3,7]=>4
[6,5,4,1,2,7,3]=>10
[6,5,4,1,7,2,3]=>7
[6,5,4,1,7,3,2]=>12
[6,5,4,2,1,3,7]=>6
[6,5,4,2,3,1,7]=>4
[6,5,4,2,7,1,3]=>10
[6,5,4,3,1,2,7]=>4
[6,5,4,3,1,7,2]=>10
[6,5,4,3,2,1,7]=>2
[6,5,4,3,2,7,1]=>6
[6,5,4,3,7,2,1]=>10
[6,5,4,7,3,2,1]=>7
[6,5,7,4,3,2,1]=>6
[6,7,1,2,3,4,5]=>7
[6,7,1,2,3,5,4]=>12
[6,7,1,2,4,3,5]=>12
[6,7,1,2,4,5,3]=>7
[6,7,1,3,2,4,5]=>12
[6,7,1,3,4,5,2]=>10
[6,7,1,4,5,3,2]=>6
[6,7,1,5,2,3,4]=>12
[6,7,1,5,4,3,2]=>6
[6,7,2,1,3,5,4]=>7
[6,7,2,1,5,4,3]=>3
[6,7,2,3,1,4,5]=>7
[6,7,2,3,4,1,5]=>10
[6,7,2,3,4,5,1]=>7
[6,7,2,4,5,1,3]=>6
[6,7,2,5,4,3,1]=>10
[6,7,3,1,4,5,2]=>4
[6,7,3,1,5,4,2]=>6
[6,7,3,2,1,4,5]=>6
[6,7,3,2,1,5,4]=>3
[6,7,3,2,4,5,1]=>6
[6,7,3,2,5,1,4]=>6
[6,7,3,2,5,4,1]=>5
[6,7,3,4,1,5,2]=>6
[6,7,3,4,2,1,5]=>6
[6,7,3,4,5,1,2]=>2
[6,7,3,5,4,2,1]=>4
[6,7,4,1,2,3,5]=>12
[6,7,4,1,3,5,2]=>10
[6,7,4,1,5,3,2]=>4
[6,7,4,2,3,5,1]=>7
[6,7,4,3,2,5,1]=>10
[6,7,4,3,5,2,1]=>4
[6,7,4,5,1,2,3]=>7
[6,7,4,5,1,3,2]=>10
[6,7,5,1,2,3,4]=>7
[6,7,5,1,4,3,2]=>10
[6,7,5,4,3,2,1]=>4
[7,1,2,3,4,5,6]=>7
[7,1,2,3,5,4,6]=>6
[7,1,2,3,6,4,5]=>7
[7,1,2,4,5,3,6]=>5
[7,1,2,4,5,6,3]=>4
[7,1,2,5,3,4,6]=>7
[7,1,2,5,3,6,4]=>6
[7,1,2,5,6,3,4]=>7
[7,1,2,6,3,4,5]=>10
[7,1,3,2,5,6,4]=>4
[7,1,3,4,5,2,6]=>4
[7,1,3,4,5,6,2]=>3
[7,1,4,2,3,5,6]=>7
[7,1,4,2,6,3,5]=>7
[7,1,4,5,2,3,6]=>7
[7,1,4,5,6,2,3]=>7
[7,1,4,6,2,3,5]=>12
[7,1,5,2,3,4,6]=>10
[7,1,5,2,3,6,4]=>4
[7,1,5,2,6,3,4]=>12
[7,1,5,4,2,3,6]=>6
[7,1,6,3,4,5,2]=>12
[7,1,6,5,2,3,4]=>10
[7,1,6,5,4,3,2]=>6
[7,2,1,3,4,5,6]=>6
[7,2,1,3,5,4,6]=>5
[7,2,1,3,6,4,5]=>6
[7,2,1,4,5,6,3]=>3
[7,2,3,1,4,5,6]=>5
[7,2,3,1,5,6,4]=>3
[7,2,3,4,1,5,6]=>4
[7,2,3,4,1,6,5]=>3
[7,2,3,4,5,1,6]=>3
[7,2,3,4,5,6,1]=>2
[7,2,3,4,6,5,1]=>2
[7,2,3,5,4,6,1]=>2
[7,2,3,5,6,4,1]=>6
[7,2,3,6,4,1,5]=>5
[7,2,3,6,5,4,1]=>2
[7,2,4,3,5,6,1]=>2
[7,2,4,3,6,5,1]=>2
[7,2,4,5,3,6,1]=>6
[7,2,4,5,6,3,1]=>4
[7,2,4,6,5,3,1]=>6
[7,2,5,3,1,4,6]=>6
[7,2,5,3,4,1,6]=>3
[7,2,5,4,3,6,1]=>2
[7,2,5,4,6,3,1]=>6
[7,2,5,6,3,1,4]=>4
[7,2,6,3,1,4,5]=>3
[7,2,6,3,4,1,5]=>6
[7,2,6,4,5,3,1]=>2
[7,2,6,5,4,3,1]=>2
[7,3,1,2,4,5,6]=>7
[7,3,1,2,6,4,5]=>7
[7,3,1,4,2,6,5]=>5
[7,3,1,5,2,4,6]=>7
[7,3,1,5,6,2,4]=>7
[7,3,1,6,2,4,5]=>10
[7,3,1,6,5,4,2]=>4
[7,3,2,1,4,5,6]=>10
[7,3,2,4,1,5,6]=>4
[7,3,2,4,5,1,6]=>6
[7,3,2,4,5,6,1]=>2
[7,3,2,4,6,5,1]=>2
[7,3,2,5,4,6,1]=>2
[7,3,2,5,6,4,1]=>6
[7,3,2,6,5,4,1]=>2
[7,3,4,1,2,5,6]=>7
[7,3,4,1,5,2,6]=>6
[7,3,4,1,6,2,5]=>7
[7,3,4,2,1,5,6]=>12
[7,3,4,2,5,1,6]=>3
[7,3,4,2,5,6,1]=>6
[7,3,4,2,6,5,1]=>6
[7,3,4,5,1,2,6]=>7
[7,3,4,5,2,1,6]=>12
[7,3,4,5,2,6,1]=>4
[7,3,4,5,6,1,2]=>7
[7,3,4,5,6,2,1]=>10
[7,3,4,6,1,2,5]=>12
[7,3,4,6,5,2,1]=>4
[7,3,5,1,2,4,6]=>12
[7,3,5,1,6,2,4]=>12
[7,3,5,4,2,6,1]=>6
[7,3,5,4,6,2,1]=>4
[7,3,6,1,2,4,5]=>7
[7,3,6,1,5,4,2]=>6
[7,3,6,4,5,2,1]=>6
[7,3,6,5,1,2,4]=>12
[7,3,6,5,1,4,2]=>7
[7,3,6,5,4,1,2]=>10
[7,3,6,5,4,2,1]=>6
[7,4,1,2,3,5,6]=>10
[7,4,1,2,6,3,5]=>10
[7,4,1,3,5,2,6]=>6
[7,4,1,3,5,6,2]=>5
[7,4,1,5,2,3,6]=>12
[7,4,1,5,6,2,3]=>12
[7,4,1,6,2,3,5]=>7
[7,4,1,6,3,5,2]=>7
[7,4,1,6,5,3,2]=>6
[7,4,2,1,3,5,6]=>7
[7,4,2,3,1,5,6]=>12
[7,4,2,3,5,1,6]=>3
[7,4,2,6,3,1,5]=>7
[7,4,3,1,2,5,6]=>6
[7,4,3,2,1,5,6]=>4
[7,4,3,2,5,6,1]=>2
[7,4,3,2,6,5,1]=>2
[7,4,3,5,2,6,1]=>6
[7,4,3,5,6,2,1]=>4
[7,4,3,6,5,2,1]=>6
[7,4,5,1,2,3,6]=>7
[7,4,5,1,3,2,6]=>10
[7,4,5,2,1,3,6]=>10
[7,4,5,2,3,1,6]=>6
[7,4,5,3,1,2,6]=>7
[7,4,5,3,2,1,6]=>12
[7,4,5,6,1,2,3]=>12
[7,4,5,6,2,1,3]=>7
[7,4,5,6,2,3,1]=>10
[7,4,5,6,3,1,2]=>10
[7,4,5,6,3,2,1]=>6
[7,4,6,2,1,3,5]=>6
[7,4,6,2,3,1,5]=>10
[7,4,6,3,1,2,5]=>12
[7,4,6,3,2,1,5]=>7
[7,4,6,5,3,2,1]=>10
[7,5,1,2,3,4,6]=>7
[7,5,1,2,4,3,6]=>12
[7,5,1,2,6,3,4]=>7
[7,5,1,3,4,2,6]=>7
[7,5,1,6,4,2,3]=>12
[7,5,1,6,4,3,2]=>7
[7,5,2,1,3,4,6]=>12
[7,5,2,3,1,4,6]=>7
[7,5,2,3,4,1,6]=>12
[7,5,2,4,6,3,1]=>4
[7,5,2,6,3,1,4]=>12
[7,5,3,1,2,4,6]=>4
[7,5,3,2,1,4,6]=>6
[7,5,3,2,4,1,6]=>3
[7,5,3,4,1,2,6]=>5
[7,5,3,4,2,1,6]=>6
[7,5,3,4,2,6,1]=>2
[7,5,3,4,6,2,1]=>6
[7,5,4,1,2,3,6]=>10
[7,5,4,1,6,2,3]=>12
[7,5,4,1,6,3,2]=>7
[7,5,4,2,1,3,6]=>7
[7,5,4,2,3,1,6]=>12
[7,5,4,3,1,2,6]=>10
[7,5,4,3,2,1,6]=>6
[7,5,4,3,2,6,1]=>2
[7,5,4,3,6,2,1]=>6
[7,5,4,6,3,2,1]=>10
[7,5,6,1,2,3,4]=>6
[7,5,6,2,1,3,4]=>10
[7,5,6,2,3,1,4]=>7
[7,5,6,2,3,4,1]=>10
[7,5,6,3,1,2,4]=>7
[7,5,6,3,2,1,4]=>10
[7,5,6,3,4,1,2]=>7
[7,5,6,3,4,2,1]=>10
[7,5,6,4,1,2,3]=>6
[7,5,6,4,2,1,3]=>4
[7,5,6,4,2,3,1]=>2
[7,5,6,4,3,1,2]=>6
[7,5,6,4,3,2,1]=>4
[7,6,1,2,3,4,5]=>12
[7,6,1,2,3,5,4]=>7
[7,6,1,2,5,4,3]=>3
[7,6,1,3,4,2,5]=>10
[7,6,1,5,4,3,2]=>10
[7,6,2,1,3,4,5]=>7
[7,6,2,1,4,3,5]=>12
[7,6,2,3,1,4,5]=>12
[7,6,2,3,4,1,5]=>7
[7,6,2,3,4,5,1]=>10
[7,6,3,1,2,4,5]=>6
[7,6,3,2,1,4,5]=>3
[7,6,3,4,1,2,5]=>6
[7,6,3,4,2,1,5]=>5
[7,6,3,4,5,1,2]=>4
[7,6,3,4,5,2,1]=>2
[7,6,3,5,4,2,1]=>2
[7,6,4,1,2,3,5]=>7
[7,6,4,2,1,3,5]=>12
[7,6,4,2,3,1,5]=>7
[7,6,4,3,1,2,5]=>6
[7,6,4,3,2,1,5]=>10
[7,6,4,3,5,2,1]=>2
[7,6,4,5,1,2,3]=>10
[7,6,4,5,1,3,2]=>7
[7,6,4,5,2,1,3]=>7
[7,6,4,5,2,3,1]=>10
[7,6,4,5,3,1,2]=>12
[7,6,4,5,3,2,1]=>6
[7,6,5,1,2,3,4]=>12
[7,6,5,2,1,3,4]=>7
[7,6,5,2,3,1,4]=>10
[7,6,5,2,3,4,1]=>6
[7,6,5,3,1,2,4]=>10
[7,6,5,3,2,1,4]=>7
[7,6,5,3,4,1,2]=>12
[7,6,5,3,4,2,1]=>6
[7,6,5,4,1,2,3]=>4
[7,6,5,4,2,1,3]=>6
[7,6,5,4,2,3,1]=>4
[7,6,5,4,3,1,2]=>4
[7,6,5,4,3,2,1]=>2
[2,1,4,3,6,5,8,7,10,9,12,11]=>2
[2,1,4,3,6,5,8,7,12,11,10,9]=>2
[2,1,4,3,6,5,10,9,8,7,12,11]=>2
[2,1,4,3,6,5,12,9,8,11,10,7]=>2
[2,1,4,3,6,5,12,11,10,9,8,7]=>2
[2,1,4,3,8,7,6,5,10,9,12,11]=>2
[2,1,4,3,8,7,6,5,12,11,10,9]=>2
[2,1,4,3,10,7,6,9,8,5,12,11]=>2
[2,1,4,3,12,7,6,9,8,11,10,5]=>2
[2,1,4,3,12,7,6,11,10,9,8,5]=>2
[2,1,4,3,10,9,8,7,6,5,12,11]=>2
[2,1,4,3,12,9,8,7,6,11,10,5]=>2
[2,1,4,3,12,11,8,7,10,9,6,5]=>2
[2,1,4,3,12,11,10,9,8,7,6,5]=>2
[2,1,6,5,4,3,8,7,10,9,12,11]=>2
[2,1,6,5,4,3,8,7,12,11,10,9]=>2
[2,1,6,5,4,3,10,9,8,7,12,11]=>2
[2,1,6,5,4,3,12,9,8,11,10,7]=>2
[2,1,6,5,4,3,12,11,10,9,8,7]=>2
[2,1,8,5,4,7,6,3,10,9,12,11]=>2
[2,1,8,5,4,7,6,3,12,11,10,9]=>2
[2,1,10,5,4,7,6,9,8,3,12,11]=>2
[2,1,12,5,4,7,6,9,8,11,10,3]=>2
[2,1,12,5,4,7,6,11,10,9,8,3]=>2
[2,1,10,5,4,9,8,7,6,3,12,11]=>2
[2,1,12,5,4,9,8,7,6,11,10,3]=>2
[2,1,12,5,4,11,8,7,10,9,6,3]=>2
[2,1,12,5,4,11,10,9,8,7,6,3]=>2
[2,1,8,7,6,5,4,3,10,9,12,11]=>2
[2,1,8,7,6,5,4,3,12,11,10,9]=>2
[2,1,10,7,6,5,4,9,8,3,12,11]=>2
[2,1,12,7,6,5,4,9,8,11,10,3]=>2
[2,1,12,7,6,5,4,11,10,9,8,3]=>2
[2,1,10,9,6,5,8,7,4,3,12,11]=>2
[2,1,12,9,6,5,8,7,4,11,10,3]=>2
[2,1,12,11,6,5,8,7,10,9,4,3]=>2
[2,1,12,11,6,5,10,9,8,7,4,3]=>2
[2,1,10,9,8,7,6,5,4,3,12,11]=>2
[2,1,12,9,8,7,6,5,4,11,10,3]=>2
[2,1,12,11,8,7,6,5,10,9,4,3]=>2
[2,1,12,11,10,7,6,9,8,5,4,3]=>2
[2,1,12,11,10,9,8,7,6,5,4,3]=>2
[4,3,2,1,6,5,8,7,10,9,12,11]=>2
[4,3,2,1,6,5,8,7,12,11,10,9]=>2
[4,3,2,1,6,5,10,9,8,7,12,11]=>2
[4,3,2,1,6,5,12,9,8,11,10,7]=>2
[4,3,2,1,6,5,12,11,10,9,8,7]=>2
[4,3,2,1,8,7,6,5,10,9,12,11]=>2
[4,3,2,1,8,7,6,5,12,11,10,9]=>2
[4,3,2,1,10,7,6,9,8,5,12,11]=>2
[4,3,2,1,12,7,6,9,8,11,10,5]=>2
[4,3,2,1,12,7,6,11,10,9,8,5]=>2
[4,3,2,1,10,9,8,7,6,5,12,11]=>2
[4,3,2,1,12,9,8,7,6,11,10,5]=>2
[4,3,2,1,12,11,8,7,10,9,6,5]=>2
[4,3,2,1,12,11,10,9,8,7,6,5]=>2
[6,3,2,5,4,1,8,7,10,9,12,11]=>2
[6,3,2,5,4,1,8,7,12,11,10,9]=>2
[6,3,2,5,4,1,10,9,8,7,12,11]=>2
[6,3,2,5,4,1,12,9,8,11,10,7]=>2
[6,3,2,5,4,1,12,11,10,9,8,7]=>2
[8,3,2,5,4,7,6,1,10,9,12,11]=>2
[8,3,2,5,4,7,6,1,12,11,10,9]=>2
[10,3,2,5,4,7,6,9,8,1,12,11]=>2
[12,3,2,5,4,7,6,9,8,11,10,1]=>2
[12,3,2,5,4,7,6,11,10,9,8,1]=>2
[10,3,2,5,4,9,8,7,6,1,12,11]=>2
[12,3,2,5,4,9,8,7,6,11,10,1]=>2
[12,3,2,5,4,11,8,7,10,9,6,1]=>2
[12,3,2,5,4,11,10,9,8,7,6,1]=>2
[8,3,2,7,6,5,4,1,10,9,12,11]=>2
[8,3,2,7,6,5,4,1,12,11,10,9]=>2
[10,3,2,7,6,5,4,9,8,1,12,11]=>2
[12,3,2,7,6,5,4,9,8,11,10,1]=>2
[12,3,2,7,6,5,4,11,10,9,8,1]=>2
[10,3,2,9,6,5,8,7,4,1,12,11]=>2
[12,3,2,9,6,5,8,7,4,11,10,1]=>2
[12,3,2,11,6,5,8,7,10,9,4,1]=>2
[12,3,2,11,6,5,10,9,8,7,4,1]=>2
[10,3,2,9,8,7,6,5,4,1,12,11]=>2
[12,3,2,9,8,7,6,5,4,11,10,1]=>2
[12,3,2,11,8,7,6,5,10,9,4,1]=>2
[12,3,2,11,10,7,6,9,8,5,4,1]=>2
[12,3,2,11,10,9,8,7,6,5,4,1]=>2
[6,5,4,3,2,1,8,7,10,9,12,11]=>2
[6,5,4,3,2,1,8,7,12,11,10,9]=>2
[6,5,4,3,2,1,10,9,8,7,12,11]=>2
[6,5,4,3,2,1,12,9,8,11,10,7]=>2
[6,5,4,3,2,1,12,11,10,9,8,7]=>2
[8,5,4,3,2,7,6,1,10,9,12,11]=>2
[8,5,4,3,2,7,6,1,12,11,10,9]=>2
[10,5,4,3,2,7,6,9,8,1,12,11]=>2
[12,5,4,3,2,7,6,9,8,11,10,1]=>2
[12,5,4,3,2,7,6,11,10,9,8,1]=>2
[10,5,4,3,2,9,8,7,6,1,12,11]=>2
[12,5,4,3,2,9,8,7,6,11,10,1]=>2
[12,5,4,3,2,11,8,7,10,9,6,1]=>2
[12,5,4,3,2,11,10,9,8,7,6,1]=>2
[8,7,4,3,6,5,2,1,10,9,12,11]=>2
[8,7,4,3,6,5,2,1,12,11,10,9]=>2
[10,7,4,3,6,5,2,9,8,1,12,11]=>2
[12,7,4,3,6,5,2,9,8,11,10,1]=>2
[12,7,4,3,6,5,2,11,10,9,8,1]=>2
[10,9,4,3,6,5,8,7,2,1,12,11]=>2
[12,9,4,3,6,5,8,7,2,11,10,1]=>2
[12,11,4,3,6,5,8,7,10,9,2,1]=>2
[12,11,4,3,6,5,10,9,8,7,2,1]=>2
[10,9,4,3,8,7,6,5,2,1,12,11]=>2
[12,9,4,3,8,7,6,5,2,11,10,1]=>2
[12,11,4,3,8,7,6,5,10,9,2,1]=>2
[12,11,4,3,10,7,6,9,8,5,2,1]=>2
[12,11,4,3,10,9,8,7,6,5,2,1]=>2
[8,7,6,5,4,3,2,1,10,9,12,11]=>2
[8,7,6,5,4,3,2,1,12,11,10,9]=>2
[10,7,6,5,4,3,2,9,8,1,12,11]=>2
[12,7,6,5,4,3,2,9,8,11,10,1]=>2
[12,7,6,5,4,3,2,11,10,9,8,1]=>2
[10,9,6,5,4,3,8,7,2,1,12,11]=>2
[12,9,6,5,4,3,8,7,2,11,10,1]=>2
[12,11,6,5,4,3,8,7,10,9,2,1]=>2
[12,11,6,5,4,3,10,9,8,7,2,1]=>2
[10,9,8,5,4,7,6,3,2,1,12,11]=>2
[12,9,8,5,4,7,6,3,2,11,10,1]=>2
[12,11,8,5,4,7,6,3,10,9,2,1]=>2
[12,11,10,5,4,7,6,9,8,3,2,1]=>2
[12,11,10,5,4,9,8,7,6,3,2,1]=>2
[10,9,8,7,6,5,4,3,2,1,12,11]=>2
[12,9,8,7,6,5,4,3,2,11,10,1]=>2
[12,11,8,7,6,5,4,3,10,9,2,1]=>2
[12,11,10,7,6,5,4,9,8,3,2,1]=>2
[12,11,10,9,6,5,8,7,4,3,2,1]=>2
[12,11,10,9,8,7,6,5,4,3,2,1]=>2
[2,4,6,8,10,12,1,3,5,7,9,11]=>12
[2,4,6,8,11,12,1,3,5,7,9,10]=>9
[2,4,6,9,10,12,1,3,5,7,8,11]=>35
[2,4,6,9,11,12,1,3,5,7,8,10]=>12
[2,4,6,10,11,12,1,3,5,7,8,9]=>35
[2,4,7,8,10,12,1,3,5,6,9,11]=>6
[2,4,7,8,11,12,1,3,5,6,9,10]=>6
[2,4,7,9,10,12,1,3,5,6,8,11]=>12
[2,4,7,9,11,12,1,3,5,6,8,10]=>9
[2,4,7,10,11,12,1,3,5,6,8,9]=>12
[2,4,8,9,10,12,1,3,5,6,7,11]=>10
[2,4,8,9,11,12,1,3,5,6,7,10]=>42
[2,4,8,10,11,12,1,3,5,6,7,9]=>10
[2,4,9,10,11,12,1,3,5,6,7,8]=>12
[2,5,6,8,10,12,1,3,4,7,9,11]=>35
[2,5,6,8,11,12,1,3,4,7,9,10]=>12
[2,5,6,9,10,12,1,3,4,7,8,11]=>10
[2,5,6,9,11,12,1,3,4,7,8,10]=>10
[2,5,6,10,11,12,1,3,4,7,8,9]=>12
[2,5,7,8,10,12,1,3,4,6,9,11]=>12
[2,5,7,8,11,12,1,3,4,6,9,10]=>9
[2,5,7,9,10,12,1,3,4,6,8,11]=>10
[2,5,7,9,11,12,1,3,4,6,8,10]=>42
[2,5,7,10,11,12,1,3,4,6,8,9]=>35
[2,5,8,9,10,12,1,3,4,6,7,11]=>8
[2,5,8,9,11,12,1,3,4,6,7,10]=>30
[2,5,8,10,11,12,1,3,4,6,7,9]=>10
[2,5,9,10,11,12,1,3,4,6,7,8]=>35
[2,6,7,8,10,12,1,3,4,5,9,11]=>10
[2,6,7,8,11,12,1,3,4,5,9,10]=>12
[2,6,7,9,10,12,1,3,4,5,8,11]=>8
[2,6,7,9,11,12,1,3,4,5,8,10]=>10
[2,6,7,10,11,12,1,3,4,5,8,9]=>12
[2,6,8,9,10,12,1,3,4,5,7,11]=>6
[2,6,8,9,11,12,1,3,4,5,7,10]=>8
[2,6,8,10,11,12,1,3,4,5,7,9]=>10
[2,6,9,10,11,12,1,3,4,5,7,8]=>12
[2,7,8,9,10,12,1,3,4,5,6,11]=>6
[2,7,8,9,11,12,1,3,4,5,6,10]=>30
[2,7,8,10,11,12,1,3,4,5,6,9]=>42
[2,7,9,10,11,12,1,3,4,5,6,8]=>9
[2,8,9,10,11,12,1,3,4,5,6,7]=>12
[3,4,6,8,10,12,1,2,5,7,9,11]=>9
[3,4,6,8,11,12,1,2,5,7,9,10]=>6
[3,4,6,9,10,12,1,2,5,7,8,11]=>12
[3,4,6,9,11,12,1,2,5,7,8,10]=>6
[3,4,6,10,11,12,1,2,5,7,8,9]=>12
[3,4,7,8,10,12,1,2,5,6,9,11]=>6
[3,4,7,8,11,12,1,2,5,6,9,10]=>3
[3,4,7,9,10,12,1,2,5,6,8,11]=>9
[3,4,7,9,11,12,1,2,5,6,8,10]=>6
[3,4,7,10,11,12,1,2,5,6,8,9]=>9
[3,4,8,9,10,12,1,2,5,6,7,11]=>12
[3,4,8,9,11,12,1,2,5,6,7,10]=>9
[3,4,8,10,11,12,1,2,5,6,7,9]=>12
[3,4,9,10,11,12,1,2,5,6,7,8]=>6
[3,5,6,8,10,12,1,2,4,7,9,11]=>12
[3,5,6,8,11,12,1,2,4,7,9,10]=>6
[3,5,6,9,10,12,1,2,4,7,8,11]=>10
[3,5,6,9,11,12,1,2,4,7,8,10]=>12
[3,5,6,10,11,12,1,2,4,7,8,9]=>8
[3,5,7,8,10,12,1,2,4,6,9,11]=>9
[3,5,7,8,11,12,1,2,4,6,9,10]=>6
[3,5,7,9,10,12,1,2,4,6,8,11]=>42
[3,5,7,9,11,12,1,2,4,6,8,10]=>12
[3,5,7,10,11,12,1,2,4,6,8,9]=>60
[3,5,8,9,10,12,1,2,4,6,7,11]=>10
[3,5,8,9,11,12,1,2,4,6,7,10]=>42
[3,5,8,10,11,12,1,2,4,6,7,9]=>35
[3,5,9,10,11,12,1,2,4,6,7,8]=>12
[3,6,7,8,10,12,1,2,4,5,9,11]=>42
[3,6,7,8,11,12,1,2,4,5,9,10]=>9
[3,6,7,9,10,12,1,2,4,5,8,11]=>30
[3,6,7,9,11,12,1,2,4,5,8,10]=>42
[3,6,7,10,11,12,1,2,4,5,8,9]=>9
[3,6,8,9,10,12,1,2,4,5,7,11]=>8
[3,6,8,9,11,12,1,2,4,5,7,10]=>10
[3,6,8,10,11,12,1,2,4,5,7,9]=>12
[3,6,9,10,11,12,1,2,4,5,7,8]=>8
[3,7,8,9,10,12,1,2,4,5,6,11]=>30
[3,7,8,9,11,12,1,2,4,5,6,10]=>10
[3,7,8,10,11,12,1,2,4,5,6,9]=>35
[3,7,9,10,11,12,1,2,4,5,6,8]=>12
[3,8,9,10,11,12,1,2,4,5,6,7]=>10
[4,5,6,8,10,12,1,2,3,7,9,11]=>35
[4,5,6,8,11,12,1,2,3,7,9,10]=>12
[4,5,6,9,10,12,1,2,3,7,8,11]=>12
[4,5,6,9,11,12,1,2,3,7,8,10]=>8
[4,5,6,10,11,12,1,2,3,7,8,9]=>4
[4,5,7,8,10,12,1,2,3,6,9,11]=>12
[4,5,7,8,11,12,1,2,3,6,9,10]=>9
[4,5,7,9,10,12,1,2,3,6,8,11]=>35
[4,5,7,9,11,12,1,2,3,6,8,10]=>60
[4,5,7,10,11,12,1,2,3,6,8,9]=>8
[4,5,8,9,10,12,1,2,3,6,7,11]=>12
[4,5,8,9,11,12,1,2,3,6,7,10]=>9
[4,5,8,10,11,12,1,2,3,6,7,9]=>12
[4,5,9,10,11,12,1,2,3,6,7,8]=>10
[4,6,7,8,10,12,1,2,3,5,9,11]=>10
[4,6,7,8,11,12,1,2,3,5,9,10]=>12
[4,6,7,9,10,12,1,2,3,5,8,11]=>10
[4,6,7,9,11,12,1,2,3,5,8,10]=>35
[4,6,7,10,11,12,1,2,3,5,8,9]=>12
[4,6,8,9,10,12,1,2,3,5,7,11]=>10
[4,6,8,9,11,12,1,2,3,5,7,10]=>12
[4,6,8,10,11,12,1,2,3,5,7,9]=>6
[4,6,9,10,11,12,1,2,3,5,7,8]=>12
[4,7,8,9,10,12,1,2,3,5,6,11]=>42
[4,7,8,9,11,12,1,2,3,5,6,10]=>35
[4,7,8,10,11,12,1,2,3,5,6,9]=>12
[4,7,9,10,11,12,1,2,3,5,6,8]=>10
[4,8,9,10,11,12,1,2,3,5,6,7]=>8
[5,6,7,8,10,12,1,2,3,4,9,11]=>12
[5,6,7,8,11,12,1,2,3,4,9,10]=>6
[5,6,7,9,10,12,1,2,3,4,8,11]=>35
[5,6,7,9,11,12,1,2,3,4,8,10]=>12
[5,6,7,10,11,12,1,2,3,4,8,9]=>10
[5,6,8,9,10,12,1,2,3,4,7,11]=>12
[5,6,8,9,11,12,1,2,3,4,7,10]=>8
[5,6,8,10,11,12,1,2,3,4,7,9]=>12
[5,6,9,10,11,12,1,2,3,4,7,8]=>4
[5,7,8,9,10,12,1,2,3,4,6,11]=>9
[5,7,8,9,11,12,1,2,3,4,6,10]=>12
[5,7,8,10,11,12,1,2,3,4,6,9]=>10
[5,7,9,10,11,12,1,2,3,4,6,8]=>8
[5,8,9,10,11,12,1,2,3,4,6,7]=>6
[6,7,8,9,10,12,1,2,3,4,5,11]=>12
[6,7,8,9,11,12,1,2,3,4,5,10]=>10
[6,7,8,10,11,12,1,2,3,4,5,9]=>8
[6,7,9,10,11,12,1,2,3,4,5,8]=>6
[6,8,9,10,11,12,1,2,3,4,5,7]=>4
[7,8,9,10,11,12,1,2,3,4,5,6]=>2
[2,3,4,5,6,7,8,9,10,12,1,11]=>12
[3,1,4,5,6,7,8,9,10,11,12,2]=>12
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Description
The order of a permutation.
$\operatorname{ord}(\pi)$ is given by the minimial $k$ for which $\pi^k$ is the identity permutation.
$\operatorname{ord}(\pi)$ is given by the minimial $k$ for which $\pi^k$ is the identity permutation.
References
[1] Irregular triangle read by rows: T(n,k) = number of elements of order k in symmetric group S_n, for n >= 1, 1<=k<=g(n), where g(n) = A000793(n) is Landau's function.. OEIS:A057731
Code
def statistic(pi):
return pi.to_permutation_group_element().order()
Created
Apr 05, 2013 at 14:08 by Christian Stump
Updated
Dec 11, 2020 at 23:56 by Martin Rubey
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