#include using namespace std; #define rep(i, a) for (int i = 0; i < (a); i++) #define rep2(i, a, b) for (int i = (a); i < (b); i++) #define repr(i, a) for (int i = (a) - 1; i >= 0; i--) #define repr2(i, a, b) for (int i = (b) - 1; i >= (a); i--) template bool chmin(T1 &a, T2 b) { return b < a && (a = b, true); } template bool chmax(T1 &a, T2 b) { return a < b && (a = b, true); } typedef long long ll; const ll mod = 1e9 + 9; vector d[500]; long long modpow(long long a, long long b, long long mod) { long long ret = 1; for (; b > 0; a = a * a % mod, b /= 2) if (b & 1) ret = ret * a % mod; return ret; } long long modinv(long long a, long long mod) { return modpow(a, mod - 2, mod); } template ostream &operator <<(ostream &os, const vector &v) { for (T x : v) os << x << " "; return os; } void precalc() { // dp[i][j] := i番目までの硬貨を使ってj円支払う場合の数 const int N = 5000; static ll dp[7][N]; int a[] = { 1, 5, 10, 50, 100, 500 }; dp[0][0] = 1; rep(i, 6) rep(j, N) { dp[i + 1][j] = dp[i][j]; if (j - a[i] >= 0) (dp[i + 1][j] += dp[i + 1][j - a[i]]) %= mod; } rep(i, 5000) d[i % 500].push_back(dp[6][i]); } ll interpolate(ll x, ll y) { x %= mod; ll ret = 0; int n = d[y].size(); rep(i, n) { ll v = d[y][i]; rep(j, n) if (i != j) { (v *= x - j) %= mod; (v *= modinv(i - j, mod)) %= mod; } (ret += v) %= mod; } if (ret < 0) ret += mod; return ret; } int main() { precalc(); int t; cin >> t; rep(i, t) { ll m; cin >> m; cout << interpolate(m / 500, m % 500) << endl; } return 0; }