#include using namespace std; typedef long long ll; typedef tuple Tp; const ll MOD = 1e9; ll mod_pow(ll x, ll e){ ll v = 1; for(;e;e>>=1){ if(e & 1) v = (v * x) % MOD; x = (x * x) % MOD; } return v; } ll inverse(ll a, ll m){ ll b = m, u = 1, v = 0; while (b) { ll t = a / b; swap(a -= t * b, b); swap(u -= t * v, v); } return (u % m + m) % m; } Tp calc(int N){ ll rem = 1; int two = 0, five = 0; for(int i=1;i<=N;i++){ int j = i; while(j % 2 == 0){ ++two; j /= 2; } while(j % 5 == 0){ ++five; j /= 5; } rem = (rem * j) % MOD; } return Tp(rem, two, five); } int main(){ ll N, M; cin >> N >> M; N /= 1000; N %= M; auto a = calc(M); auto b = calc(N); auto c = calc(M - N); int two = get<1>(a) - get<1>(b) - get<1>(c); int five = get<2>(a) - get<2>(b) - get<2>(c); ll res = get<0>(a) * inverse(get<0>(b) * get<0>(c) % MOD, MOD) % MOD; res = (res * mod_pow(2, two)) % MOD; res = (res * mod_pow(5, five)) % MOD; cout << res << endl; return 0; }