#include <bits/stdc++.h>
using namespace std;

/*^ debug  */

template <typename A, typename B> string to_string(pair<A, B> p);
template <typename A, typename B, typename C> string to_string(tuple<A, B, C> p);
template <typename A, typename B, typename C, typename D> string to_string(tuple<A, B, C, D> p);
string to_string(const string& s) { return '"' + s + '"'; }
string to_string(const char* s) { return to_string((string) s); }
string to_string(bool b) { return (b ? "true" : "false"); }
string to_string(vector<bool> v) {
  bool first = true;
  string res = "{";
  for (int i = 0; i < static_cast<int>(v.size()); i++) {
    if (!first) { res += ", "; }
    first = false;
    res += to_string(v[i]);
  }
  res += "}";
  return res;
}
template <size_t N>
string to_string(bitset<N> v) {
  string res = "";
  for (size_t i = 0; i < N; i++) { res += static_cast<char>('0' + v[i]); }
  return res;
}
template <typename A>
string to_string(A v) {
  bool first = true;
  string res = "{";
  for (const auto &x : v) {
    if (!first) { res += ", "; }
    first = false;
    res += to_string(x);
  }
  res += "}";
  return res;
}
template <typename A, typename B>
string to_string(pair<A, B> p) { return "(" + to_string(p.first) + ", " + to_string(p.second) + ")"; }
template <typename A, typename B, typename C>
string to_string(tuple<A, B, C> p) { return "(" + to_string(get<0>(p)) + ", " + to_string(get<1>(p)) + ", " + to_string(get<2>(p)) + ")"; }
template <typename A, typename B, typename C, typename D>
string to_string(tuple<A, B, C, D> p) { return "(" + to_string(get<0>(p)) + ", " + to_string(get<1>(p)) + ", " + to_string(get<2>(p)) + ", " + to_string(get<3>(p)) + ")"; }
void debug_out() { cerr << endl; }
template <typename Head, typename... Tail>
void debug_out(Head H, Tail... T) { cerr << " " << to_string(H); debug_out(T...); }
#ifdef LOCAL
#define debug(...) cerr << "[" << #__VA_ARGS__ << "]:", debug_out(__VA_ARGS__)
#else
#define debug(...) 42
#endif

/*  debug $*/

/*^ generic definitions  */

template<typename F>
struct _RecurFun : F {
  _RecurFun(F&& f) : F(forward<F>(f)) {}
  template<typename... Args>
  decltype(auto) operator()(Args&&... args) const { return F::operator()(*this, forward<Args>(args)...); }
};
template<typename F>
decltype(auto) RecurFun(F&& f) { return _RecurFun<F> { forward<F>(f) }; }

/*  generic definitions $*/

unsigned xor128_x = 123456789, xor128_y = 362436069, xor128_z = 521288629, xor128_w = 88675123;
unsigned xor128() {
  unsigned t = xor128_x ^ (xor128_x << 11);
  xor128_x = xor128_y; xor128_y = xor128_z; xor128_z = xor128_w;
  return xor128_w = xor128_w ^ (xor128_w >> 19) ^ (t ^ (t >> 8));
}
void generateA(int N, int A[]) {
  for(int i = 0; i < N; ++ i)
    A[i] = xor128() % 100003;
}

int main() {
  ios::sync_with_stdio(false);

  const int M = 100003;

  int N, Q; { cin >> N >> Q; }

  static int A[M]; { generateA(N, A); }

  int existsA[M]; {
    for (int i = 0; i < N; ++i) existsA[A[i]] = 1;
  }

  while (Q--) {
    int q; { cin >> q; }
    if (q == 0) {
      cout << 0 << "\n";
    } else if (N < 1000) {
      int best = 0;
      for (int i = 0; i < N; ++i) {
        best = max(best, (int) ((int64_t) q * A[i] % M));
      }
      cout << best << "\n";
    } else {
      auto ipow = [](int v, int p, int m) {
        int r = 1;
        for (int i = p; i; i >>= 1) {
          if (i & 1) r = (int64_t) r * v % m;
          v = (int64_t) v * v % m;
        }
        return r;
      };
      int best = M - 1;
      int invq = ipow(q, M - 2, M);
      while (!existsA[(int64_t) invq * best % M]) --best;
      cout << best << "\n";
    }
  }
}