Identifier
- St000694: Permutations ⟶ ℤ
Values
=>
[1,2]=>4
[2,1]=>1
[1,2,3]=>8
[1,3,2]=>2
[2,1,3]=>2
[2,3,1]=>1
[3,1,2]=>1
[3,2,1]=>2
[1,2,3,4]=>16
[1,2,4,3]=>4
[1,3,2,4]=>4
[1,3,4,2]=>2
[1,4,2,3]=>2
[1,4,3,2]=>4
[2,1,3,4]=>4
[2,1,4,3]=>1
[2,3,1,4]=>2
[2,3,4,1]=>1
[2,4,1,3]=>1
[2,4,3,1]=>2
[3,1,2,4]=>2
[3,1,4,2]=>1
[3,2,1,4]=>4
[3,2,4,1]=>2
[3,4,1,2]=>1
[3,4,2,1]=>1
[4,1,2,3]=>1
[4,1,3,2]=>2
[4,2,1,3]=>2
[4,2,3,1]=>4
[4,3,1,2]=>1
[4,3,2,1]=>1
[1,2,3,4,5]=>32
[1,2,3,5,4]=>8
[1,2,4,3,5]=>8
[1,2,4,5,3]=>4
[1,2,5,3,4]=>4
[1,2,5,4,3]=>8
[1,3,2,4,5]=>8
[1,3,2,5,4]=>2
[1,3,4,2,5]=>4
[1,3,4,5,2]=>2
[1,3,5,2,4]=>2
[1,3,5,4,2]=>4
[1,4,2,3,5]=>4
[1,4,2,5,3]=>2
[1,4,3,2,5]=>8
[1,4,3,5,2]=>4
[1,4,5,2,3]=>2
[1,4,5,3,2]=>2
[1,5,2,3,4]=>2
[1,5,2,4,3]=>4
[1,5,3,2,4]=>4
[1,5,3,4,2]=>8
[1,5,4,2,3]=>2
[1,5,4,3,2]=>2
[2,1,3,4,5]=>8
[2,1,3,5,4]=>2
[2,1,4,3,5]=>2
[2,1,4,5,3]=>1
[2,1,5,3,4]=>1
[2,1,5,4,3]=>2
[2,3,1,4,5]=>4
[2,3,1,5,4]=>1
[2,3,4,1,5]=>2
[2,3,4,5,1]=>1
[2,3,5,1,4]=>1
[2,3,5,4,1]=>2
[2,4,1,3,5]=>2
[2,4,1,5,3]=>1
[2,4,3,1,5]=>4
[2,4,3,5,1]=>2
[2,4,5,1,3]=>1
[2,4,5,3,1]=>1
[2,5,1,3,4]=>1
[2,5,1,4,3]=>2
[2,5,3,1,4]=>2
[2,5,3,4,1]=>4
[2,5,4,1,3]=>1
[2,5,4,3,1]=>1
[3,1,2,4,5]=>4
[3,1,2,5,4]=>1
[3,1,4,2,5]=>2
[3,1,4,5,2]=>1
[3,1,5,2,4]=>1
[3,1,5,4,2]=>2
[3,2,1,4,5]=>8
[3,2,1,5,4]=>2
[3,2,4,1,5]=>4
[3,2,4,5,1]=>2
[3,2,5,1,4]=>2
[3,2,5,4,1]=>4
[3,4,1,2,5]=>2
[3,4,1,5,2]=>1
[3,4,2,1,5]=>2
[3,4,2,5,1]=>1
[3,4,5,1,2]=>1
[3,4,5,2,1]=>1
[3,5,1,2,4]=>1
[3,5,1,4,2]=>2
[3,5,2,1,4]=>1
[3,5,2,4,1]=>2
[3,5,4,1,2]=>1
[3,5,4,2,1]=>1
[4,1,2,3,5]=>2
[4,1,2,5,3]=>1
[4,1,3,2,5]=>4
[4,1,3,5,2]=>2
[4,1,5,2,3]=>1
[4,1,5,3,2]=>1
[4,2,1,3,5]=>4
[4,2,1,5,3]=>2
[4,2,3,1,5]=>8
[4,2,3,5,1]=>4
[4,2,5,1,3]=>2
[4,2,5,3,1]=>2
[4,3,1,2,5]=>2
[4,3,1,5,2]=>1
[4,3,2,1,5]=>2
[4,3,2,5,1]=>1
[4,3,5,1,2]=>1
[4,3,5,2,1]=>1
[4,5,1,2,3]=>1
[4,5,1,3,2]=>1
[4,5,2,1,3]=>1
[4,5,2,3,1]=>1
[4,5,3,1,2]=>2
[4,5,3,2,1]=>2
[5,1,2,3,4]=>1
[5,1,2,4,3]=>2
[5,1,3,2,4]=>2
[5,1,3,4,2]=>4
[5,1,4,2,3]=>1
[5,1,4,3,2]=>1
[5,2,1,3,4]=>2
[5,2,1,4,3]=>4
[5,2,3,1,4]=>4
[5,2,3,4,1]=>8
[5,2,4,1,3]=>2
[5,2,4,3,1]=>2
[5,3,1,2,4]=>1
[5,3,1,4,2]=>2
[5,3,2,1,4]=>1
[5,3,2,4,1]=>2
[5,3,4,1,2]=>1
[5,3,4,2,1]=>1
[5,4,1,2,3]=>1
[5,4,1,3,2]=>1
[5,4,2,1,3]=>1
[5,4,2,3,1]=>1
[5,4,3,1,2]=>2
[5,4,3,2,1]=>2
[1,2,3,4,5,6]=>64
[1,2,3,4,6,5]=>16
[1,2,3,5,4,6]=>16
[1,2,3,5,6,4]=>8
[1,2,3,6,4,5]=>8
[1,2,3,6,5,4]=>16
[1,2,4,3,5,6]=>16
[1,2,4,3,6,5]=>4
[1,2,4,5,3,6]=>8
[1,2,4,5,6,3]=>4
[1,2,4,6,3,5]=>4
[1,2,4,6,5,3]=>8
[1,2,5,3,4,6]=>8
[1,2,5,3,6,4]=>4
[1,2,5,4,3,6]=>16
[1,2,5,4,6,3]=>8
[1,2,5,6,3,4]=>4
[1,2,5,6,4,3]=>4
[1,2,6,3,4,5]=>4
[1,2,6,3,5,4]=>8
[1,2,6,4,3,5]=>8
[1,2,6,4,5,3]=>16
[1,2,6,5,3,4]=>4
[1,2,6,5,4,3]=>4
[1,3,2,4,5,6]=>16
[1,3,2,4,6,5]=>4
[1,3,2,5,4,6]=>4
[1,3,2,5,6,4]=>2
[1,3,2,6,4,5]=>2
[1,3,2,6,5,4]=>4
[1,3,4,2,5,6]=>8
[1,3,4,2,6,5]=>2
[1,3,4,5,2,6]=>4
[1,3,4,5,6,2]=>2
[1,3,4,6,2,5]=>2
[1,3,4,6,5,2]=>4
[1,3,5,2,4,6]=>4
[1,3,5,2,6,4]=>2
[1,3,5,4,2,6]=>8
[1,3,5,4,6,2]=>4
[1,3,5,6,2,4]=>2
[1,3,5,6,4,2]=>2
[1,3,6,2,4,5]=>2
[1,3,6,2,5,4]=>4
[1,3,6,4,2,5]=>4
[1,3,6,4,5,2]=>8
[1,3,6,5,2,4]=>2
[1,3,6,5,4,2]=>2
[1,4,2,3,5,6]=>8
[1,4,2,3,6,5]=>2
[1,4,2,5,3,6]=>4
[1,4,2,5,6,3]=>2
[1,4,2,6,3,5]=>2
[1,4,2,6,5,3]=>4
[1,4,3,2,5,6]=>16
[1,4,3,2,6,5]=>4
[1,4,3,5,2,6]=>8
[1,4,3,5,6,2]=>4
[1,4,3,6,2,5]=>4
[1,4,3,6,5,2]=>8
[1,4,5,2,3,6]=>4
[1,4,5,2,6,3]=>2
[1,4,5,3,2,6]=>4
[1,4,5,3,6,2]=>2
[1,4,5,6,2,3]=>2
[1,4,5,6,3,2]=>2
[1,4,6,2,3,5]=>2
[1,4,6,2,5,3]=>4
[1,4,6,3,2,5]=>2
[1,4,6,3,5,2]=>4
[1,4,6,5,2,3]=>2
[1,4,6,5,3,2]=>2
[1,5,2,3,4,6]=>4
[1,5,2,3,6,4]=>2
[1,5,2,4,3,6]=>8
[1,5,2,4,6,3]=>4
[1,5,2,6,3,4]=>2
[1,5,2,6,4,3]=>2
[1,5,3,2,4,6]=>8
[1,5,3,2,6,4]=>4
[1,5,3,4,2,6]=>16
[1,5,3,4,6,2]=>8
[1,5,3,6,2,4]=>4
[1,5,3,6,4,2]=>4
[1,5,4,2,3,6]=>4
[1,5,4,2,6,3]=>2
[1,5,4,3,2,6]=>4
[1,5,4,3,6,2]=>2
[1,5,4,6,2,3]=>2
[1,5,4,6,3,2]=>2
[1,5,6,2,3,4]=>2
[1,5,6,2,4,3]=>2
[1,5,6,3,2,4]=>2
[1,5,6,3,4,2]=>2
[1,5,6,4,2,3]=>4
[1,5,6,4,3,2]=>4
[1,6,2,3,4,5]=>2
[1,6,2,3,5,4]=>4
[1,6,2,4,3,5]=>4
[1,6,2,4,5,3]=>8
[1,6,2,5,3,4]=>2
[1,6,2,5,4,3]=>2
[1,6,3,2,4,5]=>4
[1,6,3,2,5,4]=>8
[1,6,3,4,2,5]=>8
[1,6,3,4,5,2]=>16
[1,6,3,5,2,4]=>4
[1,6,3,5,4,2]=>4
[1,6,4,2,3,5]=>2
[1,6,4,2,5,3]=>4
[1,6,4,3,2,5]=>2
[1,6,4,3,5,2]=>4
[1,6,4,5,2,3]=>2
[1,6,4,5,3,2]=>2
[1,6,5,2,3,4]=>2
[1,6,5,2,4,3]=>2
[1,6,5,3,2,4]=>2
[1,6,5,3,4,2]=>2
[1,6,5,4,2,3]=>4
[1,6,5,4,3,2]=>4
[2,1,3,4,5,6]=>16
[2,1,3,4,6,5]=>4
[2,1,3,5,4,6]=>4
[2,1,3,5,6,4]=>2
[2,1,3,6,4,5]=>2
[2,1,3,6,5,4]=>4
[2,1,4,3,5,6]=>4
[2,1,4,3,6,5]=>1
[2,1,4,5,3,6]=>2
[2,1,4,5,6,3]=>1
[2,1,4,6,3,5]=>1
[2,1,4,6,5,3]=>2
[2,1,5,3,4,6]=>2
[2,1,5,3,6,4]=>1
[2,1,5,4,3,6]=>4
[2,1,5,4,6,3]=>2
[2,1,5,6,3,4]=>1
[2,1,5,6,4,3]=>1
[2,1,6,3,4,5]=>1
[2,1,6,3,5,4]=>2
[2,1,6,4,3,5]=>2
[2,1,6,4,5,3]=>4
[2,1,6,5,3,4]=>1
[2,1,6,5,4,3]=>1
[2,3,1,4,5,6]=>8
[2,3,1,4,6,5]=>2
[2,3,1,5,4,6]=>2
[2,3,1,5,6,4]=>1
[2,3,1,6,4,5]=>1
[2,3,1,6,5,4]=>2
[2,3,4,1,5,6]=>4
[2,3,4,1,6,5]=>1
[2,3,4,5,1,6]=>2
[2,3,4,5,6,1]=>1
[2,3,4,6,1,5]=>1
[2,3,4,6,5,1]=>2
[2,3,5,1,4,6]=>2
[2,3,5,1,6,4]=>1
[2,3,5,4,1,6]=>4
[2,3,5,4,6,1]=>2
[2,3,5,6,1,4]=>1
[2,3,5,6,4,1]=>1
[2,3,6,1,4,5]=>1
[2,3,6,1,5,4]=>2
[2,3,6,4,1,5]=>2
[2,3,6,4,5,1]=>4
[2,3,6,5,1,4]=>1
[2,3,6,5,4,1]=>1
[2,4,1,3,5,6]=>4
[2,4,1,3,6,5]=>1
[2,4,1,5,3,6]=>2
[2,4,1,5,6,3]=>1
[2,4,1,6,3,5]=>1
[2,4,1,6,5,3]=>2
[2,4,3,1,5,6]=>8
[2,4,3,1,6,5]=>2
[2,4,3,5,1,6]=>4
[2,4,3,5,6,1]=>2
[2,4,3,6,1,5]=>2
[2,4,3,6,5,1]=>4
[2,4,5,1,3,6]=>2
[2,4,5,1,6,3]=>1
[2,4,5,3,1,6]=>2
[2,4,5,3,6,1]=>1
[2,4,5,6,1,3]=>1
[2,4,5,6,3,1]=>1
[2,4,6,1,3,5]=>1
[2,4,6,1,5,3]=>2
[2,4,6,3,1,5]=>1
[2,4,6,3,5,1]=>2
[2,4,6,5,1,3]=>1
[2,4,6,5,3,1]=>1
[2,5,1,3,4,6]=>2
[2,5,1,3,6,4]=>1
[2,5,1,4,3,6]=>4
[2,5,1,4,6,3]=>2
[2,5,1,6,3,4]=>1
[2,5,1,6,4,3]=>1
[2,5,3,1,4,6]=>4
[2,5,3,1,6,4]=>2
[2,5,3,4,1,6]=>8
[2,5,3,4,6,1]=>4
[2,5,3,6,1,4]=>2
[2,5,3,6,4,1]=>2
[2,5,4,1,3,6]=>2
[2,5,4,1,6,3]=>1
[2,5,4,3,1,6]=>2
[2,5,4,3,6,1]=>1
[2,5,4,6,1,3]=>1
[2,5,4,6,3,1]=>1
[2,5,6,1,3,4]=>1
[2,5,6,1,4,3]=>1
[2,5,6,3,1,4]=>1
[2,5,6,3,4,1]=>1
[2,5,6,4,1,3]=>2
[2,5,6,4,3,1]=>2
[2,6,1,3,4,5]=>1
[2,6,1,3,5,4]=>2
[2,6,1,4,3,5]=>2
[2,6,1,4,5,3]=>4
[2,6,1,5,3,4]=>1
[2,6,1,5,4,3]=>1
[2,6,3,1,4,5]=>2
[2,6,3,1,5,4]=>4
[2,6,3,4,1,5]=>4
[2,6,3,4,5,1]=>8
[2,6,3,5,1,4]=>2
[2,6,3,5,4,1]=>2
[2,6,4,1,3,5]=>1
[2,6,4,1,5,3]=>2
[2,6,4,3,1,5]=>1
[2,6,4,3,5,1]=>2
[2,6,4,5,1,3]=>1
[2,6,4,5,3,1]=>1
[2,6,5,1,3,4]=>1
[2,6,5,1,4,3]=>1
[2,6,5,3,1,4]=>1
[2,6,5,3,4,1]=>1
[2,6,5,4,1,3]=>2
[2,6,5,4,3,1]=>2
[3,1,2,4,5,6]=>8
[3,1,2,4,6,5]=>2
[3,1,2,5,4,6]=>2
[3,1,2,5,6,4]=>1
[3,1,2,6,4,5]=>1
[3,1,2,6,5,4]=>2
[3,1,4,2,5,6]=>4
[3,1,4,2,6,5]=>1
[3,1,4,5,2,6]=>2
[3,1,4,5,6,2]=>1
[3,1,4,6,2,5]=>1
[3,1,4,6,5,2]=>2
[3,1,5,2,4,6]=>2
[3,1,5,2,6,4]=>1
[3,1,5,4,2,6]=>4
[3,1,5,4,6,2]=>2
[3,1,5,6,2,4]=>1
[3,1,5,6,4,2]=>1
[3,1,6,2,4,5]=>1
[3,1,6,2,5,4]=>2
[3,1,6,4,2,5]=>2
[3,1,6,4,5,2]=>4
[3,1,6,5,2,4]=>1
[3,1,6,5,4,2]=>1
[3,2,1,4,5,6]=>16
[3,2,1,4,6,5]=>4
[3,2,1,5,4,6]=>4
[3,2,1,5,6,4]=>2
[3,2,1,6,4,5]=>2
[3,2,1,6,5,4]=>4
[3,2,4,1,5,6]=>8
[3,2,4,1,6,5]=>2
[3,2,4,5,1,6]=>4
[3,2,4,5,6,1]=>2
[3,2,4,6,1,5]=>2
[3,2,4,6,5,1]=>4
[3,2,5,1,4,6]=>4
[3,2,5,1,6,4]=>2
[3,2,5,4,1,6]=>8
[3,2,5,4,6,1]=>4
[3,2,5,6,1,4]=>2
[3,2,5,6,4,1]=>2
[3,2,6,1,4,5]=>2
[3,2,6,1,5,4]=>4
[3,2,6,4,1,5]=>4
[3,2,6,4,5,1]=>8
[3,2,6,5,1,4]=>2
[3,2,6,5,4,1]=>2
[3,4,1,2,5,6]=>4
[3,4,1,2,6,5]=>1
[3,4,1,5,2,6]=>2
[3,4,1,5,6,2]=>1
[3,4,1,6,2,5]=>1
[3,4,1,6,5,2]=>2
[3,4,2,1,5,6]=>4
[3,4,2,1,6,5]=>1
[3,4,2,5,1,6]=>2
[3,4,2,5,6,1]=>1
[3,4,2,6,1,5]=>1
[3,4,2,6,5,1]=>2
[3,4,5,1,2,6]=>2
[3,4,5,1,6,2]=>1
[3,4,5,2,1,6]=>2
[3,4,5,2,6,1]=>1
[3,4,5,6,1,2]=>1
[3,4,5,6,2,1]=>1
[3,4,6,1,2,5]=>1
[3,4,6,1,5,2]=>2
[3,4,6,2,1,5]=>1
[3,4,6,2,5,1]=>2
[3,4,6,5,1,2]=>1
[3,4,6,5,2,1]=>1
[3,5,1,2,4,6]=>2
[3,5,1,2,6,4]=>1
[3,5,1,4,2,6]=>4
[3,5,1,4,6,2]=>2
[3,5,1,6,2,4]=>1
[3,5,1,6,4,2]=>1
[3,5,2,1,4,6]=>2
[3,5,2,1,6,4]=>1
[3,5,2,4,1,6]=>4
[3,5,2,4,6,1]=>2
[3,5,2,6,1,4]=>1
[3,5,2,6,4,1]=>1
[3,5,4,1,2,6]=>2
[3,5,4,1,6,2]=>1
[3,5,4,2,1,6]=>2
[3,5,4,2,6,1]=>1
[3,5,4,6,1,2]=>1
[3,5,4,6,2,1]=>1
[3,5,6,1,2,4]=>1
[3,5,6,1,4,2]=>1
[3,5,6,2,1,4]=>1
[3,5,6,2,4,1]=>1
[3,5,6,4,1,2]=>2
[3,5,6,4,2,1]=>2
[3,6,1,2,4,5]=>1
[3,6,1,2,5,4]=>2
[3,6,1,4,2,5]=>2
[3,6,1,4,5,2]=>4
[3,6,1,5,2,4]=>1
[3,6,1,5,4,2]=>1
[3,6,2,1,4,5]=>1
[3,6,2,1,5,4]=>2
[3,6,2,4,1,5]=>2
[3,6,2,4,5,1]=>4
[3,6,2,5,1,4]=>1
[3,6,2,5,4,1]=>1
[3,6,4,1,2,5]=>1
[3,6,4,1,5,2]=>2
[3,6,4,2,1,5]=>1
[3,6,4,2,5,1]=>2
[3,6,4,5,1,2]=>1
[3,6,4,5,2,1]=>1
[3,6,5,1,2,4]=>1
[3,6,5,1,4,2]=>1
[3,6,5,2,1,4]=>1
[3,6,5,2,4,1]=>1
[3,6,5,4,1,2]=>2
[3,6,5,4,2,1]=>2
[4,1,2,3,5,6]=>4
[4,1,2,3,6,5]=>1
[4,1,2,5,3,6]=>2
[4,1,2,5,6,3]=>1
[4,1,2,6,3,5]=>1
[4,1,2,6,5,3]=>2
[4,1,3,2,5,6]=>8
[4,1,3,2,6,5]=>2
[4,1,3,5,2,6]=>4
[4,1,3,5,6,2]=>2
[4,1,3,6,2,5]=>2
[4,1,3,6,5,2]=>4
[4,1,5,2,3,6]=>2
[4,1,5,2,6,3]=>1
[4,1,5,3,2,6]=>2
[4,1,5,3,6,2]=>1
[4,1,5,6,2,3]=>1
[4,1,5,6,3,2]=>1
[4,1,6,2,3,5]=>1
[4,1,6,2,5,3]=>2
[4,1,6,3,2,5]=>1
[4,1,6,3,5,2]=>2
[4,1,6,5,2,3]=>1
[4,1,6,5,3,2]=>1
[4,2,1,3,5,6]=>8
[4,2,1,3,6,5]=>2
[4,2,1,5,3,6]=>4
[4,2,1,5,6,3]=>2
[4,2,1,6,3,5]=>2
[4,2,1,6,5,3]=>4
[4,2,3,1,5,6]=>16
[4,2,3,1,6,5]=>4
[4,2,3,5,1,6]=>8
[4,2,3,5,6,1]=>4
[4,2,3,6,1,5]=>4
[4,2,3,6,5,1]=>8
[4,2,5,1,3,6]=>4
[4,2,5,1,6,3]=>2
[4,2,5,3,1,6]=>4
[4,2,5,3,6,1]=>2
[4,2,5,6,1,3]=>2
[4,2,5,6,3,1]=>2
[4,2,6,1,3,5]=>2
[4,2,6,1,5,3]=>4
[4,2,6,3,1,5]=>2
[4,2,6,3,5,1]=>4
[4,2,6,5,1,3]=>2
[4,2,6,5,3,1]=>2
[4,3,1,2,5,6]=>4
[4,3,1,2,6,5]=>1
[4,3,1,5,2,6]=>2
[4,3,1,5,6,2]=>1
[4,3,1,6,2,5]=>1
[4,3,1,6,5,2]=>2
[4,3,2,1,5,6]=>4
[4,3,2,1,6,5]=>1
[4,3,2,5,1,6]=>2
[4,3,2,5,6,1]=>1
[4,3,2,6,1,5]=>1
[4,3,2,6,5,1]=>2
[4,3,5,1,2,6]=>2
[4,3,5,1,6,2]=>1
[4,3,5,2,1,6]=>2
[4,3,5,2,6,1]=>1
[4,3,5,6,1,2]=>1
[4,3,5,6,2,1]=>1
[4,3,6,1,2,5]=>1
[4,3,6,1,5,2]=>2
[4,3,6,2,1,5]=>1
[4,3,6,2,5,1]=>2
[4,3,6,5,1,2]=>1
[4,3,6,5,2,1]=>1
[4,5,1,2,3,6]=>2
[4,5,1,2,6,3]=>1
[4,5,1,3,2,6]=>2
[4,5,1,3,6,2]=>1
[4,5,1,6,2,3]=>1
[4,5,1,6,3,2]=>1
[4,5,2,1,3,6]=>2
[4,5,2,1,6,3]=>1
[4,5,2,3,1,6]=>2
[4,5,2,3,6,1]=>1
[4,5,2,6,1,3]=>1
[4,5,2,6,3,1]=>1
[4,5,3,1,2,6]=>4
[4,5,3,1,6,2]=>2
[4,5,3,2,1,6]=>4
[4,5,3,2,6,1]=>2
[4,5,3,6,1,2]=>2
[4,5,3,6,2,1]=>2
[4,5,6,1,2,3]=>1
[4,5,6,1,3,2]=>1
[4,5,6,2,1,3]=>1
[4,5,6,2,3,1]=>1
[4,5,6,3,1,2]=>1
[4,5,6,3,2,1]=>1
[4,6,1,2,3,5]=>1
[4,6,1,2,5,3]=>2
[4,6,1,3,2,5]=>1
[4,6,1,3,5,2]=>2
[4,6,1,5,2,3]=>1
[4,6,1,5,3,2]=>1
[4,6,2,1,3,5]=>1
[4,6,2,1,5,3]=>2
[4,6,2,3,1,5]=>1
[4,6,2,3,5,1]=>2
[4,6,2,5,1,3]=>1
[4,6,2,5,3,1]=>1
[4,6,3,1,2,5]=>2
[4,6,3,1,5,2]=>4
[4,6,3,2,1,5]=>2
[4,6,3,2,5,1]=>4
[4,6,3,5,1,2]=>2
[4,6,3,5,2,1]=>2
[4,6,5,1,2,3]=>1
[4,6,5,1,3,2]=>1
[4,6,5,2,1,3]=>1
[4,6,5,2,3,1]=>1
[4,6,5,3,1,2]=>1
[4,6,5,3,2,1]=>1
[5,1,2,3,4,6]=>2
[5,1,2,3,6,4]=>1
[5,1,2,4,3,6]=>4
[5,1,2,4,6,3]=>2
[5,1,2,6,3,4]=>1
[5,1,2,6,4,3]=>1
[5,1,3,2,4,6]=>4
[5,1,3,2,6,4]=>2
[5,1,3,4,2,6]=>8
[5,1,3,4,6,2]=>4
[5,1,3,6,2,4]=>2
[5,1,3,6,4,2]=>2
[5,1,4,2,3,6]=>2
[5,1,4,2,6,3]=>1
[5,1,4,3,2,6]=>2
[5,1,4,3,6,2]=>1
[5,1,4,6,2,3]=>1
[5,1,4,6,3,2]=>1
[5,1,6,2,3,4]=>1
[5,1,6,2,4,3]=>1
[5,1,6,3,2,4]=>1
[5,1,6,3,4,2]=>1
[5,1,6,4,2,3]=>2
[5,1,6,4,3,2]=>2
[5,2,1,3,4,6]=>4
[5,2,1,3,6,4]=>2
[5,2,1,4,3,6]=>8
[5,2,1,4,6,3]=>4
[5,2,1,6,3,4]=>2
[5,2,1,6,4,3]=>2
[5,2,3,1,4,6]=>8
[5,2,3,1,6,4]=>4
[5,2,3,4,1,6]=>16
[5,2,3,4,6,1]=>8
[5,2,3,6,1,4]=>4
[5,2,3,6,4,1]=>4
[5,2,4,1,3,6]=>4
[5,2,4,1,6,3]=>2
[5,2,4,3,1,6]=>4
[5,2,4,3,6,1]=>2
[5,2,4,6,1,3]=>2
[5,2,4,6,3,1]=>2
[5,2,6,1,3,4]=>2
[5,2,6,1,4,3]=>2
[5,2,6,3,1,4]=>2
[5,2,6,3,4,1]=>2
[5,2,6,4,1,3]=>4
[5,2,6,4,3,1]=>4
[5,3,1,2,4,6]=>2
[5,3,1,2,6,4]=>1
[5,3,1,4,2,6]=>4
[5,3,1,4,6,2]=>2
[5,3,1,6,2,4]=>1
[5,3,1,6,4,2]=>1
[5,3,2,1,4,6]=>2
[5,3,2,1,6,4]=>1
[5,3,2,4,1,6]=>4
[5,3,2,4,6,1]=>2
[5,3,2,6,1,4]=>1
[5,3,2,6,4,1]=>1
[5,3,4,1,2,6]=>2
[5,3,4,1,6,2]=>1
[5,3,4,2,1,6]=>2
[5,3,4,2,6,1]=>1
[5,3,4,6,1,2]=>1
[5,3,4,6,2,1]=>1
[5,3,6,1,2,4]=>1
[5,3,6,1,4,2]=>1
[5,3,6,2,1,4]=>1
[5,3,6,2,4,1]=>1
[5,3,6,4,1,2]=>2
[5,3,6,4,2,1]=>2
[5,4,1,2,3,6]=>2
[5,4,1,2,6,3]=>1
[5,4,1,3,2,6]=>2
[5,4,1,3,6,2]=>1
[5,4,1,6,2,3]=>1
[5,4,1,6,3,2]=>1
[5,4,2,1,3,6]=>2
[5,4,2,1,6,3]=>1
[5,4,2,3,1,6]=>2
[5,4,2,3,6,1]=>1
[5,4,2,6,1,3]=>1
[5,4,2,6,3,1]=>1
[5,4,3,1,2,6]=>4
[5,4,3,1,6,2]=>2
[5,4,3,2,1,6]=>4
[5,4,3,2,6,1]=>2
[5,4,3,6,1,2]=>2
[5,4,3,6,2,1]=>2
[5,4,6,1,2,3]=>1
[5,4,6,1,3,2]=>1
[5,4,6,2,1,3]=>1
[5,4,6,2,3,1]=>1
[5,4,6,3,1,2]=>1
[5,4,6,3,2,1]=>1
[5,6,1,2,3,4]=>1
[5,6,1,2,4,3]=>1
[5,6,1,3,2,4]=>1
[5,6,1,3,4,2]=>1
[5,6,1,4,2,3]=>2
[5,6,1,4,3,2]=>2
[5,6,2,1,3,4]=>1
[5,6,2,1,4,3]=>1
[5,6,2,3,1,4]=>1
[5,6,2,3,4,1]=>1
[5,6,2,4,1,3]=>2
[5,6,2,4,3,1]=>2
[5,6,3,1,2,4]=>2
[5,6,3,1,4,2]=>2
[5,6,3,2,1,4]=>2
[5,6,3,2,4,1]=>2
[5,6,3,4,1,2]=>4
[5,6,3,4,2,1]=>4
[5,6,4,1,2,3]=>1
[5,6,4,1,3,2]=>1
[5,6,4,2,1,3]=>1
[5,6,4,2,3,1]=>1
[5,6,4,3,1,2]=>1
[5,6,4,3,2,1]=>1
[6,1,2,3,4,5]=>1
[6,1,2,3,5,4]=>2
[6,1,2,4,3,5]=>2
[6,1,2,4,5,3]=>4
[6,1,2,5,3,4]=>1
[6,1,2,5,4,3]=>1
[6,1,3,2,4,5]=>2
[6,1,3,2,5,4]=>4
[6,1,3,4,2,5]=>4
[6,1,3,4,5,2]=>8
[6,1,3,5,2,4]=>2
[6,1,3,5,4,2]=>2
[6,1,4,2,3,5]=>1
[6,1,4,2,5,3]=>2
[6,1,4,3,2,5]=>1
[6,1,4,3,5,2]=>2
[6,1,4,5,2,3]=>1
[6,1,4,5,3,2]=>1
[6,1,5,2,3,4]=>1
[6,1,5,2,4,3]=>1
[6,1,5,3,2,4]=>1
[6,1,5,3,4,2]=>1
[6,1,5,4,2,3]=>2
[6,1,5,4,3,2]=>2
[6,2,1,3,4,5]=>2
[6,2,1,3,5,4]=>4
[6,2,1,4,3,5]=>4
[6,2,1,4,5,3]=>8
[6,2,1,5,3,4]=>2
[6,2,1,5,4,3]=>2
[6,2,3,1,4,5]=>4
[6,2,3,1,5,4]=>8
[6,2,3,4,1,5]=>8
[6,2,3,4,5,1]=>16
[6,2,3,5,1,4]=>4
[6,2,3,5,4,1]=>4
[6,2,4,1,3,5]=>2
[6,2,4,1,5,3]=>4
[6,2,4,3,1,5]=>2
[6,2,4,3,5,1]=>4
[6,2,4,5,1,3]=>2
[6,2,4,5,3,1]=>2
[6,2,5,1,3,4]=>2
[6,2,5,1,4,3]=>2
[6,2,5,3,1,4]=>2
[6,2,5,3,4,1]=>2
[6,2,5,4,1,3]=>4
[6,2,5,4,3,1]=>4
[6,3,1,2,4,5]=>1
[6,3,1,2,5,4]=>2
[6,3,1,4,2,5]=>2
[6,3,1,4,5,2]=>4
[6,3,1,5,2,4]=>1
[6,3,1,5,4,2]=>1
[6,3,2,1,4,5]=>1
[6,3,2,1,5,4]=>2
[6,3,2,4,1,5]=>2
[6,3,2,4,5,1]=>4
[6,3,2,5,1,4]=>1
[6,3,2,5,4,1]=>1
[6,3,4,1,2,5]=>1
[6,3,4,1,5,2]=>2
[6,3,4,2,1,5]=>1
[6,3,4,2,5,1]=>2
[6,3,4,5,1,2]=>1
[6,3,4,5,2,1]=>1
[6,3,5,1,2,4]=>1
[6,3,5,1,4,2]=>1
[6,3,5,2,1,4]=>1
[6,3,5,2,4,1]=>1
[6,3,5,4,1,2]=>2
[6,3,5,4,2,1]=>2
[6,4,1,2,3,5]=>1
[6,4,1,2,5,3]=>2
[6,4,1,3,2,5]=>1
[6,4,1,3,5,2]=>2
[6,4,1,5,2,3]=>1
[6,4,1,5,3,2]=>1
[6,4,2,1,3,5]=>1
[6,4,2,1,5,3]=>2
[6,4,2,3,1,5]=>1
[6,4,2,3,5,1]=>2
[6,4,2,5,1,3]=>1
[6,4,2,5,3,1]=>1
[6,4,3,1,2,5]=>2
[6,4,3,1,5,2]=>4
[6,4,3,2,1,5]=>2
[6,4,3,2,5,1]=>4
[6,4,3,5,1,2]=>2
[6,4,3,5,2,1]=>2
[6,4,5,1,2,3]=>1
[6,4,5,1,3,2]=>1
[6,4,5,2,1,3]=>1
[6,4,5,2,3,1]=>1
[6,4,5,3,1,2]=>1
[6,4,5,3,2,1]=>1
[6,5,1,2,3,4]=>1
[6,5,1,2,4,3]=>1
[6,5,1,3,2,4]=>1
[6,5,1,3,4,2]=>1
[6,5,1,4,2,3]=>2
[6,5,1,4,3,2]=>2
[6,5,2,1,3,4]=>1
[6,5,2,1,4,3]=>1
[6,5,2,3,1,4]=>1
[6,5,2,3,4,1]=>1
[6,5,2,4,1,3]=>2
[6,5,2,4,3,1]=>2
[6,5,3,1,2,4]=>2
[6,5,3,1,4,2]=>2
[6,5,3,2,1,4]=>2
[6,5,3,2,4,1]=>2
[6,5,3,4,1,2]=>4
[6,5,3,4,2,1]=>4
[6,5,4,1,2,3]=>1
[6,5,4,1,3,2]=>1
[6,5,4,2,1,3]=>1
[6,5,4,2,3,1]=>1
[6,5,4,3,1,2]=>1
[6,5,4,3,2,1]=>1
[1,2,3,4,5,6,7]=>128
[1,2,3,4,5,7,6]=>32
[1,2,3,4,6,5,7]=>32
[1,2,3,4,6,7,5]=>16
[1,2,3,4,7,5,6]=>16
[1,2,3,4,7,6,5]=>32
[1,2,3,5,4,6,7]=>32
[1,2,3,5,4,7,6]=>8
[1,2,3,5,6,4,7]=>16
[1,2,3,5,6,7,4]=>8
[1,2,3,5,7,4,6]=>8
[1,2,3,5,7,6,4]=>16
[1,2,3,6,4,5,7]=>16
[1,2,3,6,4,7,5]=>8
[1,2,3,6,5,4,7]=>32
[1,2,3,6,5,7,4]=>16
[1,2,3,6,7,4,5]=>8
[1,2,3,6,7,5,4]=>8
[1,2,3,7,4,5,6]=>8
[1,2,3,7,4,6,5]=>16
[1,2,3,7,5,4,6]=>16
[1,2,3,7,5,6,4]=>32
[1,2,3,7,6,4,5]=>8
[1,2,3,7,6,5,4]=>8
[1,2,4,3,5,6,7]=>32
[1,2,4,3,5,7,6]=>8
[1,2,4,3,6,5,7]=>8
[1,2,4,3,6,7,5]=>4
[1,2,4,3,7,5,6]=>4
[1,2,4,3,7,6,5]=>8
[1,2,4,5,3,6,7]=>16
[1,2,4,5,3,7,6]=>4
[1,2,4,5,6,3,7]=>8
[1,2,4,5,6,7,3]=>4
[1,2,4,5,7,3,6]=>4
[1,2,4,5,7,6,3]=>8
[1,2,4,6,3,5,7]=>8
[1,2,4,6,3,7,5]=>4
[1,2,4,6,5,3,7]=>16
[1,2,4,6,5,7,3]=>8
[1,2,4,6,7,3,5]=>4
[1,2,4,6,7,5,3]=>4
[1,2,4,7,3,5,6]=>4
[1,2,4,7,3,6,5]=>8
[1,2,4,7,5,3,6]=>8
[1,2,4,7,5,6,3]=>16
[1,2,4,7,6,3,5]=>4
[1,2,4,7,6,5,3]=>4
[1,2,5,3,4,6,7]=>16
[1,2,5,3,4,7,6]=>4
[1,2,5,3,6,4,7]=>8
[1,2,5,3,6,7,4]=>4
[1,2,5,3,7,4,6]=>4
[1,2,5,3,7,6,4]=>8
[1,2,5,4,3,6,7]=>32
[1,2,5,4,3,7,6]=>8
[1,2,5,4,6,3,7]=>16
[1,2,5,4,6,7,3]=>8
[1,2,5,4,7,3,6]=>8
[1,2,5,4,7,6,3]=>16
[1,2,5,6,3,4,7]=>8
[1,2,5,6,3,7,4]=>4
[1,2,5,6,4,3,7]=>8
[1,2,5,6,4,7,3]=>4
[1,2,5,6,7,3,4]=>4
[1,2,5,6,7,4,3]=>4
[1,2,5,7,3,4,6]=>4
[1,2,5,7,3,6,4]=>8
[1,2,5,7,4,3,6]=>4
[1,2,5,7,4,6,3]=>8
[1,2,5,7,6,3,4]=>4
[1,2,5,7,6,4,3]=>4
[1,2,6,3,4,5,7]=>8
[1,2,6,3,4,7,5]=>4
[1,2,6,3,5,4,7]=>16
[1,2,6,3,5,7,4]=>8
[1,2,6,3,7,4,5]=>4
[1,2,6,3,7,5,4]=>4
[1,2,6,4,3,5,7]=>16
[1,2,6,4,3,7,5]=>8
[1,2,6,4,5,3,7]=>32
[1,2,6,4,5,7,3]=>16
[1,2,6,4,7,3,5]=>8
[1,2,6,4,7,5,3]=>8
[1,2,6,5,3,4,7]=>8
[1,2,6,5,3,7,4]=>4
[1,2,6,5,4,3,7]=>8
[1,2,6,5,4,7,3]=>4
[1,2,6,5,7,3,4]=>4
[1,2,6,5,7,4,3]=>4
[1,2,6,7,3,4,5]=>4
[1,2,6,7,3,5,4]=>4
[1,2,6,7,4,3,5]=>4
[1,2,6,7,4,5,3]=>4
[1,2,6,7,5,3,4]=>8
[1,2,6,7,5,4,3]=>8
[1,2,7,3,4,5,6]=>4
[1,2,7,3,4,6,5]=>8
[1,2,7,3,5,4,6]=>8
[1,2,7,3,5,6,4]=>16
[1,2,7,3,6,4,5]=>4
[1,2,7,3,6,5,4]=>4
[1,2,7,4,3,5,6]=>8
[1,2,7,4,3,6,5]=>16
[1,2,7,4,5,3,6]=>16
[1,2,7,4,5,6,3]=>32
[1,2,7,4,6,3,5]=>8
[1,2,7,4,6,5,3]=>8
[1,2,7,5,3,4,6]=>4
[1,2,7,5,3,6,4]=>8
[1,2,7,5,4,3,6]=>4
[1,2,7,5,4,6,3]=>8
[1,2,7,5,6,3,4]=>4
[1,2,7,5,6,4,3]=>4
[1,2,7,6,3,4,5]=>4
[1,2,7,6,3,5,4]=>4
[1,2,7,6,4,3,5]=>4
[1,2,7,6,4,5,3]=>4
[1,2,7,6,5,3,4]=>8
[1,2,7,6,5,4,3]=>8
[1,3,2,4,5,6,7]=>32
[1,3,2,4,5,7,6]=>8
[1,3,2,4,6,5,7]=>8
[1,3,2,4,6,7,5]=>4
[1,3,2,4,7,5,6]=>4
[1,3,2,4,7,6,5]=>8
[1,3,2,5,4,6,7]=>8
[1,3,2,5,4,7,6]=>2
[1,3,2,5,6,4,7]=>4
[1,3,2,5,6,7,4]=>2
[1,3,2,5,7,4,6]=>2
[1,3,2,5,7,6,4]=>4
[1,3,2,6,4,5,7]=>4
[1,3,2,6,4,7,5]=>2
[1,3,2,6,5,4,7]=>8
[1,3,2,6,5,7,4]=>4
[1,3,2,6,7,4,5]=>2
[1,3,2,6,7,5,4]=>2
[1,3,2,7,4,5,6]=>2
[1,3,2,7,4,6,5]=>4
[1,3,2,7,5,4,6]=>4
[1,3,2,7,5,6,4]=>8
[1,3,2,7,6,4,5]=>2
[1,3,2,7,6,5,4]=>2
[1,3,4,2,5,6,7]=>16
[1,3,4,2,5,7,6]=>4
[1,3,4,2,6,5,7]=>4
[1,3,4,2,6,7,5]=>2
[1,3,4,2,7,5,6]=>2
[1,3,4,2,7,6,5]=>4
[1,3,4,5,2,6,7]=>8
[1,3,4,5,2,7,6]=>2
[1,3,4,5,6,2,7]=>4
[1,3,4,5,6,7,2]=>2
[1,3,4,5,7,2,6]=>2
[1,3,4,5,7,6,2]=>4
[1,3,4,6,2,5,7]=>4
[1,3,4,6,2,7,5]=>2
[1,3,4,6,5,2,7]=>8
[1,3,4,6,5,7,2]=>4
[1,3,4,6,7,2,5]=>2
[1,3,4,6,7,5,2]=>2
[1,3,4,7,2,5,6]=>2
[1,3,4,7,2,6,5]=>4
[1,3,4,7,5,2,6]=>4
[1,3,4,7,5,6,2]=>8
[1,3,4,7,6,2,5]=>2
[1,3,4,7,6,5,2]=>2
[1,3,5,2,4,6,7]=>8
[1,3,5,2,4,7,6]=>2
[1,3,5,2,6,4,7]=>4
[1,3,5,2,6,7,4]=>2
[1,3,5,2,7,4,6]=>2
[1,3,5,2,7,6,4]=>4
[1,3,5,4,2,6,7]=>16
[1,3,5,4,2,7,6]=>4
[1,3,5,4,6,2,7]=>8
[1,3,5,4,6,7,2]=>4
[1,3,5,4,7,2,6]=>4
[1,3,5,4,7,6,2]=>8
[1,3,5,6,2,4,7]=>4
[1,3,5,6,2,7,4]=>2
[1,3,5,6,4,2,7]=>4
[1,3,5,6,4,7,2]=>2
[1,3,5,6,7,2,4]=>2
[1,3,5,6,7,4,2]=>2
[1,3,5,7,2,4,6]=>2
[1,3,5,7,2,6,4]=>4
[1,3,5,7,4,2,6]=>2
[1,3,5,7,4,6,2]=>4
[1,3,5,7,6,2,4]=>2
[1,3,5,7,6,4,2]=>2
[1,3,6,2,4,5,7]=>4
[1,3,6,2,4,7,5]=>2
[1,3,6,2,5,4,7]=>8
[1,3,6,2,5,7,4]=>4
[1,3,6,2,7,4,5]=>2
[1,3,6,2,7,5,4]=>2
[1,3,6,4,2,5,7]=>8
[1,3,6,4,2,7,5]=>4
[1,3,6,4,5,2,7]=>16
[1,3,6,4,5,7,2]=>8
[1,3,6,4,7,2,5]=>4
[1,3,6,4,7,5,2]=>4
[1,3,6,5,2,4,7]=>4
[1,3,6,5,2,7,4]=>2
[1,3,6,5,4,2,7]=>4
[1,3,6,5,4,7,2]=>2
[1,3,6,5,7,2,4]=>2
[1,3,6,5,7,4,2]=>2
[1,3,6,7,2,4,5]=>2
[1,3,6,7,2,5,4]=>2
[1,3,6,7,4,2,5]=>2
[1,3,6,7,4,5,2]=>2
[1,3,6,7,5,2,4]=>4
[1,3,6,7,5,4,2]=>4
[1,3,7,2,4,5,6]=>2
[1,3,7,2,4,6,5]=>4
[1,3,7,2,5,4,6]=>4
[1,3,7,2,5,6,4]=>8
[1,3,7,2,6,4,5]=>2
[1,3,7,2,6,5,4]=>2
[1,3,7,4,2,5,6]=>4
[1,3,7,4,2,6,5]=>8
[1,3,7,4,5,2,6]=>8
[1,3,7,4,5,6,2]=>16
[1,3,7,4,6,2,5]=>4
[1,3,7,4,6,5,2]=>4
[1,3,7,5,2,4,6]=>2
[1,3,7,5,2,6,4]=>4
[1,3,7,5,4,2,6]=>2
[1,3,7,5,4,6,2]=>4
[1,3,7,5,6,2,4]=>2
[1,3,7,5,6,4,2]=>2
[1,3,7,6,2,4,5]=>2
[1,3,7,6,2,5,4]=>2
[1,3,7,6,4,2,5]=>2
[1,3,7,6,4,5,2]=>2
[1,3,7,6,5,2,4]=>4
[1,3,7,6,5,4,2]=>4
[1,4,2,3,5,6,7]=>16
[1,4,2,3,5,7,6]=>4
[1,4,2,3,6,5,7]=>4
[1,4,2,3,6,7,5]=>2
[1,4,2,3,7,5,6]=>2
[1,4,2,3,7,6,5]=>4
[1,4,2,5,3,6,7]=>8
[1,4,2,5,3,7,6]=>2
[1,4,2,5,6,3,7]=>4
[1,4,2,5,6,7,3]=>2
[1,4,2,5,7,3,6]=>2
[1,4,2,5,7,6,3]=>4
[1,4,2,6,3,5,7]=>4
[1,4,2,6,3,7,5]=>2
[1,4,2,6,5,3,7]=>8
[1,4,2,6,5,7,3]=>4
[1,4,2,6,7,3,5]=>2
[1,4,2,6,7,5,3]=>2
[1,4,2,7,3,5,6]=>2
[1,4,2,7,3,6,5]=>4
[1,4,2,7,5,3,6]=>4
[1,4,2,7,5,6,3]=>8
[1,4,2,7,6,3,5]=>2
[1,4,2,7,6,5,3]=>2
[1,4,3,2,5,6,7]=>32
[1,4,3,2,5,7,6]=>8
[1,4,3,2,6,5,7]=>8
[1,4,3,2,6,7,5]=>4
[1,4,3,2,7,5,6]=>4
[1,4,3,2,7,6,5]=>8
[1,4,3,5,2,6,7]=>16
[1,4,3,5,2,7,6]=>4
[1,4,3,5,6,2,7]=>8
[1,4,3,5,6,7,2]=>4
[1,4,3,5,7,2,6]=>4
[1,4,3,5,7,6,2]=>8
[1,4,3,6,2,5,7]=>8
[1,4,3,6,2,7,5]=>4
[1,4,3,6,5,2,7]=>16
[1,4,3,6,5,7,2]=>8
[1,4,3,6,7,2,5]=>4
[1,4,3,6,7,5,2]=>4
[1,4,3,7,2,5,6]=>4
[1,4,3,7,2,6,5]=>8
[1,4,3,7,5,2,6]=>8
[1,4,3,7,5,6,2]=>16
[1,4,3,7,6,2,5]=>4
[1,4,3,7,6,5,2]=>4
[1,4,5,2,3,6,7]=>8
[1,4,5,2,3,7,6]=>2
[1,4,5,2,6,3,7]=>4
[1,4,5,2,6,7,3]=>2
[1,4,5,2,7,3,6]=>2
[1,4,5,2,7,6,3]=>4
[1,4,5,3,2,6,7]=>8
[1,4,5,3,2,7,6]=>2
[1,4,5,3,6,2,7]=>4
[1,4,5,3,6,7,2]=>2
[1,4,5,3,7,2,6]=>2
[1,4,5,3,7,6,2]=>4
[1,4,5,6,2,3,7]=>4
[1,4,5,6,2,7,3]=>2
[1,4,5,6,3,2,7]=>4
[1,4,5,6,3,7,2]=>2
[1,4,5,6,7,2,3]=>2
[1,4,5,6,7,3,2]=>2
[1,4,5,7,2,3,6]=>2
[1,4,5,7,2,6,3]=>4
[1,4,5,7,3,2,6]=>2
[1,4,5,7,3,6,2]=>4
[1,4,5,7,6,2,3]=>2
[1,4,5,7,6,3,2]=>2
[1,4,6,2,3,5,7]=>4
[1,4,6,2,3,7,5]=>2
[1,4,6,2,5,3,7]=>8
[1,4,6,2,5,7,3]=>4
[1,4,6,2,7,3,5]=>2
[1,4,6,2,7,5,3]=>2
[1,4,6,3,2,5,7]=>4
[1,4,6,3,2,7,5]=>2
[1,4,6,3,5,2,7]=>8
[1,4,6,3,5,7,2]=>4
[1,4,6,3,7,2,5]=>2
[1,4,6,3,7,5,2]=>2
[1,4,6,5,2,3,7]=>4
[1,4,6,5,2,7,3]=>2
[1,4,6,5,3,2,7]=>4
[1,4,6,5,3,7,2]=>2
search for individual values
searching the database for the individual values of this statistic
/
search for generating function
searching the database for statistics with the same generating function
Description
The number of affine bounded permutations that project to a given permutation.
As affine bounded permutations are in bijection with usual permutations where fix-points come in two colors, this statistic is $2^k$ where $k$ is the number of fixed points St000022The number of fixed points of a permutation..
As affine bounded permutations are in bijection with usual permutations where fix-points come in two colors, this statistic is $2^k$ where $k$ is the number of fixed points St000022The number of fixed points of a permutation..
References
[1] Lam, T. Totally nonnegative Grassmannian and Grassmann polytopes arXiv:1506.00603
Code
def statistic(pi):
return 2^pi.number_of_fixed_points()
Created
Feb 03, 2017 at 11:11 by Christian Stump
Updated
Feb 03, 2017 at 11:11 by Christian Stump
searching the database
Sorry, this statistic was not found in the database
or
add this statistic to the database – it's very simple and we need your support!