Let A = [a1,a2,...,an]
be a permutation of integers 1
,2
,...,n
.
A pair of indices (i,j)
, where 1<=i<=j<=n
, is an inversion of the permutation A
if ai>aj
. We are given integers n>0
and k>=0
. What number of n-element permutations contain exactly k
inversions?
This is a programming problem and I am looking for a DP solution. Did anyone try this?