#include #include using namespace std; using namespace atcoder; #define rep(i, n) REP(i, 0, n) #define REP(i, s, e) for (ll i = (s); i < (ll)(e); i++) #define repr(i, n) REPR(i, n, 0) #define REPR(i, s, e) for (ll i = (ll)(s - 1); i >= (ll)(e); i--) #define all(r) r.begin(), r.end() #define rall(r) r.rbegin(), r.rend() typedef long long ll; typedef vector vi; typedef vector vl; template bool chmax(T& a, const U& b) { if (a >= b) return false; a = b; return true; } template bool chmin(T& a, const U& b) { if (a <= b) return false; a = b; return true; } void yes_no(bool f, string yes = "Yes", string no = "No") { cout << (f ? yes : no) << "\n"; } const ll mod = (ll)1e9 + 9; const int ma = (int)2e5 + 10; vector dp(ma, 1); ll mod_pow(ll x, ll n) { ll ret = 1; while (n) { if (n & 1LL) (ret *= x) %= mod; n >>= 1; (x *= x) %= mod; } return ret; } void precalc() { vi cs = {5, 10, 50, 100, 500}; for (auto c : cs) { REP(i, c, ma)(dp[i] += dp[i - c]) %= mod; } } void solve() { ll m; cin >> m; ll x = m / 500, y = m % 500; ll ans = 0; rep(i, 6) { ll a = 1, b = 1; rep(j, 6) if (i != j) { (a *= (mod - x % mod + j) % mod) %= mod; } rep(j, 6) if (i != j) { (b *= (mod - i + j) % mod) %= mod; } ans += dp[y + i * 500] * a % mod * mod_pow(b, mod - 2) % mod; ans %= mod; } cout << ans << "\n"; } int main() { cin.tie(0); ios::sync_with_stdio(false); int t = 1; precalc(); cin >> t; rep(ti, t) solve(); return 0; }