#pragma GCC optimize("O3,unroll-loops")
#pragma GCC target("avx2,bmi,bmi2,lzcnt,popcnt")
#include<bits/stdc++.h>
#define int long long
#define fi first
#define se second
#define pb push_back
#define ii pair<int, int>
#define sz(v) (int)v.size()
#define all(v) v.begin(), v.end()
using namespace std;

const int N=1e5+5, mod = 1e9+9, inf = 1e18;

int m, k;

int binpow(int x, int y) {
    int res = 1;
    while(y) {
        if(y&1) res = (res*x)%mod;
        y>>=1;
        x = (x*x)%mod;
    }
    return res;
}

signed main() {
    ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
    cin >> m >> k;
    int ans = 0, cnt = 1, sum = 0;
    for (int i=1; i<=k; i++) {
        int tmp = (sum+1)*m%mod;
        ans = (ans+tmp)%mod;
        tmp = cnt*sum%mod;
        int tmp1 = m*(sum+1)%mod;
        sum = (tmp+tmp1-sum+mod)%mod;
        sum = sum*binpow(cnt+m-1, mod-2)%mod;
        cnt += m-1;
    }
    cout << ans;
}