// #pragma GCC optimize("O3")
// #pragma GCC optimize("Ofast")
// #pragma GCC optimize("unroll-loops")
// #pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,avx2,tune=native")
#include <bits/stdc++.h>
using namespace std;

#define PB emplace_back
#define int long long
#define ll long long
#define vi vector<int>
#define siz(a) ((int) ((a).size()))
#define rep(i, a, b) for (int i = (a); i <= (b); ++i)
#define per(i, a, b) for (int i = (a); i >= (b); --i)
void print(vi n) { rep(i, 0, siz(n) - 1) cerr << n[i] << " \n"[i == siz(n) - 1]; }

const int mod = 1e9 + 9;
int a, b;

int qp(int n, int m = mod - 2) {
	int res = 1;
	for (; m; m >>= 1) {
		if (m & 1) res = res * n % mod;
		n = n * n % mod;
	}
	return res;
}

signed main() {
	// freopen(".in", "r", stdin);
	// freopen(".out", "w", stdout);
	ios::sync_with_stdio(0);
	cin.tie(0), cout.tie(0);
	cin >> a >> b;
	int ans = 0, dep = 0, now = 1;
	rep(i, 1, b) {
		(ans += (dep + 1) * a) %= mod;
		dep = ((dep + 1) * a + dep * (now - 1)) % mod * qp(now - 1 + a) % mod;
		now += a - 1;
	}
	cout << ans;
	return cerr << endl << 1.0 * clock() / CLOCKS_PER_SEC << endl, 0;
}