import std.algorithm, std.conv, std.range, std.stdio, std.string; const mod = 10 ^^ 9 + 9; alias FactorRing!mod mint; const c = [1, 5, 10, 50, 100, 500], nc = c.length, dpm = 3500; const dp = calcDp(); void main() { auto t = readln.chomp.to!size_t; foreach (_; 0..t) { auto m = readln.chomp.to!long; writeln(calc(m)); } } auto calc(long m) { if (m <= dpm) return dp[m]; auto md = mint(m / 500), mm = m % 500; auto r = mint(0); foreach (i; 0..nc+1) { auto s = mint(dp[mm + i * 500]); foreach (j; 0..nc+1) if (i != j) { s *= mint(md - j); s *= mint(i - j).inv; } r += s; } return r; } auto calcDp() { auto dp1 = new int[](dpm+1), dp2 = new int[](dpm+1); dp1[] = 1; foreach (k; 1..nc) { dp2[] = dp1[]; foreach (i; c[k]..dpm+1) dp2[i] += dp2[i-c[k]]; dp1[] = dp2[]; } return dp1; } struct FactorRing(int m, bool pos = false) { version(BigEndian) { union { long vl; struct { int vi2; int vi; } } } else { union { long vl; int vi; } } @property int toInt() { return vi; } alias toInt this; this(int v) { vi = v; } this(int v, bool runMod) { vi = runMod ? mod(v) : v; } this(long v) { vi = mod(v); } ref FactorRing!(m, pos) opAssign(int v) { vi = v; return this; } pure auto mod(int v) const { static if (pos) return v % m; else return (v % m + m) % m; } pure auto mod(long v) const { static if (pos) return cast(int)(v % m); else return cast(int)((v % m + m) % m); } static if (m < int.max / 2) { pure auto opBinary(string op: "+")(int rhs) const { return FactorRing!(m, pos)(mod(vi + rhs)); } pure auto opBinary(string op: "-")(int rhs) const { return FactorRing!(m, pos)(mod(vi - rhs)); } } else { pure auto opBinary(string op: "+")(int rhs) const { return FactorRing!(m, pos)(mod(vl + rhs)); } pure auto opBinary(string op: "-")(int rhs) const { return FactorRing!(m, pos)(mod(vl - rhs)); } } pure auto opBinary(string op: "*")(int rhs) const { return FactorRing!(m, pos)(mod(vl * rhs)); } pure auto opBinary(string op)(FactorRing!(m, pos) rhs) const if (op == "+" || op == "-" || op == "*") { return opBinary!op(rhs.vi); } static if (m < int.max / 2) { auto opOpAssign(string op: "+")(int rhs) { vi = mod(vi + rhs); } auto opOpAssign(string op: "-")(int rhs) { vi = mod(vi - rhs); } } else { auto opOpAssign(string op: "+")(int rhs) { vi = mod(vl + rhs); } auto opOpAssign(string op: "-")(int rhs) { vi = mod(vl - rhs); } } auto opOpAssign(string op: "*")(int rhs) { vi = mod(vl * rhs); } auto opOpAssign(string op)(FactorRing!(m, pos) rhs) if (op == "+" || op == "-" || op == "*") { return opOpAssign!op(rhs.vi); } pure auto inv() const { int x = vi, a, b; exEuclid(x, m, a, b); return FactorRing!(m, pos)(a); } } pure T exEuclid(T)(T a, T b, ref T x, ref T y) { auto g = a; x = 1; y = 0; if (b != 0) { g = exEuclid(b, a % b, y, x); y -= a / b * x; } return g; }