#include using namespace std; typedef long long ll; #define REP(i, n) for(int(i)=0;(i)<(n);++(i)) #define RREP(i, n) for(int(i)=(n)-1;(i)>=0;--(i)) const int MOD = (int)(1e9+9); const int coins[] = {5,10,50,100,500}; ll dp[1000001]; ll extgcd(ll a,ll b,ll &m,ll &n){ll g=a;m=1;n=0;if(b)g=extgcd(b,a%b,n,m),n-=(a/b)*m;return g;} ll divmod(ll n, ll m, ll mod){ ll a,b; extgcd((m+mod)%mod,mod,a,b); return (n * a) % mod; } template _T Lagrange(const vector > &fj, _T x, ll mod = 0){ int n = fj.size(); _T res = 0; for(int j = 0; j < n; j++){ _T ljx = 1; for(int k = 0; k < n; k++){ if(j == k) continue; if(!mod) ljx *= (x - fj[k].first); else ljx = (ljx * ((x - fj[k].first) % mod)) % mod; } for(int k = 0; k < n; k++){ if(j == k) continue; if(!mod) ljx /= (fj[j].first - fj[k].first); else ljx = divmod(ljx, fj[j].first - fj[k].first, mod); } res += fj[j].second * ljx; res %= mod; } if(mod) res = (res + mod) % mod; return res; } int main(){ REP(i,1000001) dp[i] = 1; REP(i,5) REP(j,1000001){ int k = j-coins[i]; if(k >= 0) dp[j] = (dp[j] + dp[k]) % MOD; } int T; cin >> T; REP(i,T){ ll M; cin >> M; ll x = M / 500, r = M % 500; vector > v; REP(i,6) v.push_back(make_pair(i, dp[i*500+r])); cout << Lagrange(v, x, MOD) << endl; } }