#include #include #include #include #include #include #include #include #include #include using namespace std; typedef long long ll; const ll MOD = 1000000009ll; int coin[] = {1, 5, 10, 50, 100, 500}; ll dp[3010]; vector coef[510]; 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; } vector gauss(vector< vector > A, vector b){ const int size = (int)A.size(); vector< vector > M(size, vector(size + 1)); for(int i=0;i=0;i--){ ll inv = mod_pow(M[i][i], MOD - 2); M[i][size] *= inv; M[i][size] %= MOD; ll now = M[i][size]; for(int j=0;j x(size); for(int i=0;i > A(6, vector(6, 0)); vector b(6); for(int x=0;x<6;x++){ ll p = 1; for(int i=0;i<6;i++){ A[x][i] = p; p *= x; p %= MOD; } b[x] = dp[500 * x + m]; } coef[m] = gauss(A, b); } void init(){ const int N = 3000; dp[0] = 1; for(int i=0;i<6;i++){ for(int sum=coin[i];sum<=N;sum++){ dp[sum] = (dp[sum] + dp[sum - coin[i]]) % MOD; } } for(int i=0;i<500;i++)initCoef(i); } ll solve(ll M){ ll res = 0; ll x = (M / 500) % MOD; ll m = M % 500; ll p = 1; for(int i=0;i<6;i++){ res = (res + p * coef[m][i] % MOD) % MOD; p *= x; p %= MOD; } return res; } int main(){ init(); int T; cin >> T; while(T--){ ll M; cin >> M; cout << solve(M) << endl; } return 0; }