#include <iostream>
#include <vector>
#include <cstdint>
#include <algorithm>
using namespace std;

vector<int64_t> calcModInv(int64_t N,int64_t P){
  vector<int64_t> inv(N+1);
  inv[1]=1;
  for(int i=2;i<=N;i++){
    inv[i] = (P+((long long)-inv[P%i]*(P/i))%P)%P;
  }
  return inv;
}


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));
}
const int64_t MOD = 100003;
bool has[MOD];
void generateA(int N, int A[]) {
  for(int i = 0; i < N; ++ i) {
    A[i] = xor128() % 100003;
    has[A[i]] = true;
  }
 
}
vector<int64_t> inv = calcModInv(MOD, MOD);
int main() {
  int N, Q;
  cin >> N >> Q;
  int A[N];
  generateA(N, A);
  for(int t = 0; t < Q; t++) {
    int64_t q;
    cin >> q;
    if(q == 0) {
      cout << 0 << endl;
      continue;
    }
    if(N < 400) {
      int64_t max = 0;
      for(int64_t i = 0; i < N; i++) {
        max = std::max(max, A[i] * q % MOD);
      }
      cout << max << endl;
    }else{
      for(int64_t i = MOD - 1; i >= 0; i--) {
        if(has[i * inv[q] % MOD]) {
          cout << i << endl;
          break;
        }
      }
    }
  }
}