#include<bits/stdc++.h>
using namespace std;
#define int long long
int mod=1e9+9;
int qpow(int a,int b){
    int res=1;
    while(b){
        if(b&1)res=res*a%mod;
        a=a*a%mod;
        b>>=1;
    }
    return res;
}
signed main() {
    ios::sync_with_stdio(0);cin.tie(0);cout.tie(0);
    int n,k;
    cin>>n>>k;
    int av;
    int sum=0,leave=0,siz1=1,siz2=1;
    for(int i=1;i<=k;i++){
        av=leave*qpow(siz2,mod-2)%mod;
        int t=((av+1)*n)%mod;
        sum=(sum+t)%mod;
        leave=(leave+t-av+mod)%mod;
        siz1=(siz1+n)%mod;
        siz2=(siz2+n-1)%mod;
    }
    cout<<sum<<"\n";
    return 0;
}