#include <bits/stdc++.h>
using namespace std;
using ull = uint64_t;
using ll = int64_t;
const ull P = (1ull << 61) - 1;
const ull B = 131;
const int sz = 100;
const int mod = 1e9 + 9;
ll qpower(ll a, ll b)
{
    ll res = 1;
    while (b)
    {
        if (b & 1)
            res = res * a % mod;
        a = a * a % mod;
        b = b / 2;
    }
    return res;
}
void solve()
{
    ll m, k;
    ll ans = 0;
    ll cnt = 1;
    cin >> m >> k;
    ll now = 0;
    for (int i = 1; i <= k; i++)
    {
        ans = (ans + now) % mod;
        now = (now * (cnt - 1) % mod + (now + 1) * m % mod) % mod;
        cnt += (m - 1);
    //    cout<<now<<'\n';
        now = now * qpower(cnt, mod - 2) % mod;
    }
    ans = (ans + now * cnt % mod) % mod;
    cout << ans << '\n';
}

int main()
{
#ifdef LOCAL
    freopen("data.in", "r", stdin);
    freopen("data.out", "w", stdout);
    auto _ = clock();
#endif
    ios::sync_with_stdio(false);
    cin.tie(nullptr);
    solve();
#ifdef LOCAL
    cerr << clock() - _ << '\n';
#endif
    return 0;
}