using System;
using System.IO;
using System.Linq;
using System.Text;
using System.Collections.Generic;
using System.Diagnostics;
using System.Numerics;
using Enu = System.Linq.Enumerable;

class Program
{
    static readonly int Mod = 100003;

    public void Solve()
    {
        int N = Reader.Int(), Q = Reader.Int();
        var Qs = Reader.IntArray(Q);
        var random = new XorShift();
        var A = Enu.Range(0, N).Select(i => random.Next(Mod)).ToArray();
        A = A.Distinct().ToArray();
        int Thre = (int)Math.Sqrt(Mod);
        var ans = new StringBuilder();

        if (A.Length < Thre)
        {
            foreach (int q in Qs)
            {
                long max = -1;
                foreach (long a in A) max = Math.Max(max, a * q % Mod);
                ans.AppendLine(max + "");
            }
        }
        else
        {
            bool[] has = new bool[Mod];
            foreach (var a in A) has[a] = true;
            foreach (int q in Qs)
            {
                if (q == 0) { ans.AppendLine("0"); continue; }
                long qInv = ModPower(q, Mod - 2, Mod);
                for (int x = Mod - 1; x >= 0; x--)
                    if (has[x * qInv % Mod])
                    {
                        ans.AppendLine(x + "");
                        break;
                    }
            }
        }

        Console.Write(ans);
    }

    static long ModPower(long x, long n, long mod) // x ^ n
    {
        long res = 1;
        while (n > 0)
        {
            if ((n & 1) == 1) { res = (res * x) % mod; }
            x = (x * x) % mod;
            n >>= 1;
        }
        return res;
    }

    public class XorShift
    {
        private uint x = 123456789, y = 362436069, z = 521288629, w = 88675123;
        public uint Next()
        {
            uint t;
            t = (x ^ (x << 11));
            x = y; y = z; z = w;
            return (w = (w ^ (w >> 19)) ^ (t ^ (t >> 8)));
        }
        public int Next(int Max)
        {
            return (int)(Next() % Max);
        }
        public double NextDouble()
        {
            return (double)Next() / uint.MaxValue;
        }
    }
}


class Entry { static void Main() { new Program().Solve(); } }
class Reader
{
    private static TextReader reader = Console.In;
    private static readonly char[] separator = { ' ' };
    private static readonly StringSplitOptions op = StringSplitOptions.RemoveEmptyEntries;
    private static string[] A = new string[0];
    private static int i;
    private static void Init() { A = new string[0]; }
    public static void Set(TextReader r) { reader = r; Init(); }
    public static void Set(string file) { reader = new StreamReader(file); Init(); }
    public static bool HasNext() { return CheckNext(); }
    public static string String() { return Next(); }
    public static int Int() { return int.Parse(Next()); }
    public static long Long() { return long.Parse(Next()); }
    public static double Double() { return double.Parse(Next()); }
    public static int[] IntLine() { return Array.ConvertAll(Split(Line()), int.Parse); }
    public static int[] IntArray(int N) { return Enu.Range(0, N).Select(i => Int()).ToArray(); }
    public static int[][] IntTable(int H) { return Enu.Range(0, H).Select(i => IntLine()).ToArray(); }
    public static string[] StringArray(int N) { return Enu.Range(0, N).Select(i => Line()).ToArray(); }
    public static string Line() { return reader.ReadLine().Trim(); }
    private static string[] Split(string s) { return s.Split(separator, op); }
    private static string Next() { CheckNext(); return A[i++]; }
    private static bool CheckNext()
    {
        if (i < A.Length) return true;
        string line = reader.ReadLine();
        if (line == null) return false;
        if (line == "") return CheckNext();
        A = Split(line);
        i = 0;
        return true;
    }
}