#include<bits/stdc++.h>

using namespace std;
const int inf = 1e9 + 1;
const int MOD = 1e9 + 9;


const int N = 1e5 + 5;

int sum(int a, int b) { return (0ll + a + b + MOD) % MOD; }
int mul(int a, int b) { return 1ll * a * b % MOD; }
int Pow(int a, int b) {
    int res = 1;
    for (; b; b>>=1, a = mul(a, a)) if (b&1) {
        res = mul(res, a);
    }
    return res;
}


void Solve() {
    int M, K; cin >> M >> K;
    int e = 0;
    int s = 0;
    for (int i = 0; i < K; i++) {
        s = sum(s, sum(mul(e, M), M));
        e = sum(e, mul(M, Pow(mul(M-1,i+1)+1, MOD-2)));
    }
    cout << s << "\n";
}

int main() {
    // prep();
    // cout << C(5, 4) << endl;
    ios::sync_with_stdio(0), cin.tie(0), cout.tie(0);
    int t = 1; // cin >> t;
    while (t--) {
        Solve();
    }
}