#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; typedef long long ll; typedef unsigned int ui; const ll mod = (ll)(1e+9) + 9; const ll INF = (ll)1000000007 * 1000000007; typedef pair P; #define stop char nyaa;cin>>nyaa; #define rep(i,n) for(int i=0;i=0;i--) #define Rep(i,sta,n) for(int i=sta;i=1;i--) #define Rep1(i,sta,n) for(int i=sta;i<=n;i++) typedef long double ld; typedef complex Point; const ld eps = 1e-8; const ld pi = acos(-1.0); typedef pair LP; typedef pair LDP; const int key = 3001; ll dp[key]; vector v = { 1,5,10,50,100,500 }; ll mod_inverse(ll x) { ll res = 1; ll n = mod - 2; while (n) { if (n % 2)(res *= x)%=mod; (x *= x) %= mod; n >>= 1; } return res; } int main() { dp[0] = 1; rep(i, 6) { rep(j, key) { if (j+v[i] < key) { (dp[j + v[i]] += dp[j]) %= mod; } } } int t; cin >> t; rep(aa, t) { ll m; cin >> m; if (m < key) { cout << dp[m] << endl; continue; } ll out = 0; ll d = m / 500; ll r = m % 500; d %= mod; rep(i, 6) { ll tmp = 1; rep(j, 6) { if (i == j)continue; (tmp *= d - j) %= mod; (tmp *= mod_inverse(i - j)) %= mod; } (tmp *= dp[i * 500 + r]) %= mod; (out += tmp) %= mod; } cout << (out+mod)%mod << endl; } return 0; }