#include <iostream>
#include <numeric>
#include <vector>

using lint = long long;
constexpr lint MOD = 1000000000;

template <class T>
std::vector<T> vec(int len, T elem) { return std::vector<T>(len, elem); }

void solve() {
    lint n, m;
    std::cin >> n >> m;

    n /= 1000;
    n %= m;

    std::vector<lint> ps(n);
    std::iota(ps.begin(), ps.end(), m - n + 1);

    for (lint x = 1; x <= n; ++x) {
        lint y = x;
        for (auto& p : ps) {
            auto g = std::gcd(y, p);
            p /= g;
            y /= g;
        }
    }

    lint ans = 1;
    for (auto p : ps) (ans *= p) %= MOD;
    std::cout << ans << std::endl;
}

int main() {
    std::cin.tie(nullptr);
    std::ios::sync_with_stdio(false);

    solve();

    return 0;
}