#include using namespace std; #define rep(i,n) for(ll i=0;i=0;i--) #define perl(i,r,l) for(ll i=r-1;i>=l;i--) #define fi first #define se second #define pb push_back #define ins insert #define pqueue(x) priority_queue,greater> #define all(x) (x).begin(),(x).end() #define CST(x) cout<; using vvl=vector>; using pl=pair; using vpl=vector; using vvpl=vector; const ll MOD=1000000007; const ll MOD9=998244353; const int inf=1e9+10; const ll INF=4e18; const ll dy[8]={-1,0,1,0,1,1,-1,-1}; const ll dx[8]={0,-1,0,1,1,-1,1,-1}; template inline bool chmax(T &a, T b) { return ((a < b) ? (a = b, true) : (false)); } template inline bool chmin(T &a, T b) { return ((a > b) ? (a = b, true) : (false)); } const int mod = MOD+2; const int max_n = 200005; struct mint { ll x; // typedef long long ll; mint(ll x=0):x((x%mod+mod)%mod){} mint operator-() const { return mint(-x);} mint& operator+=(const mint a) { if ((x += a.x) >= mod) x -= mod; return *this; } mint& operator-=(const mint a) { if ((x += mod-a.x) >= mod) x -= mod; return *this; } mint& operator*=(const mint a) { (x *= a.x) %= mod; return *this;} mint operator+(const mint a) const { return mint(*this) += a;} mint operator-(const mint a) const { return mint(*this) -= a;} mint operator*(const mint a) const { return mint(*this) *= a;} mint pow(ll t) const { if (!t) return 1; mint a = pow(t>>1); a *= a; if (t&1) a *= *this; return a; } bool operator==(const mint &p) const { return x == p.x; } bool operator!=(const mint &p) const { return x != p.x; } // for prime mod mint inv() const { return pow(mod-2);} mint& operator/=(const mint a) { return *this *= a.inv();} mint operator/(const mint a) const { return mint(*this) /= a;} }; istream& operator>>(istream& is, mint& a) { return is >> a.x;} ostream& operator<<(ostream& os, const mint& a) { return os << a.x;} mint interpolation(vector y,mint T){//0~NのN+1点に基づいてf(T)を返す const int n=y.size()-1; if(T.x<=n)return y[T.x]; mint ret=0,ft=1; for(int i=0;i<=n;i++)ft*=T-i; mint f=1;for(int i=1;i<=n;i++)f*=-i; for(int i=0;i<=n;i++){ ret+=y[i]/f*ft/(T-i); f*=i+1;f/=(i-n); } return ret; } int main(){ vl a={1,5,10,50,100,500}; vector dp(3000);dp[0]=1; rep(j,6){ rep(i,3000){ if(i+a[j]<3000)dp[i+a[j]]+=dp[i]; } } ll t;cin >> t; while(t--){ ll M;cin >> M; ll m=M%500; mint p=M/500; vector y(6); rep(i,6){ y[i]=dp[i*500+m]; } cout << interpolation(y,p) <