using System;
using System.Collections.Generic;
using System.Text;
using sc = Scanner;
using System.Collections;
class Program
{
static void Main(string[] args)
{
Solve();
#if DEBUG
Console.WriteLine("終了するにはなにかキーを押して下さい...");
Console.ReadKey();
#endif
}
static void Solve()
{
long x = sc.NextLong();
int n = sc.NextInt();
long answer = 0;
int[] quary = sc.NextIntArray();
long[] xPowerTable = new long[30];//log_2(100000000) = oyoso 27
xPowerTable[0] = x;
for (int i = 1; i < 30; i++)
{
xPowerTable[i] = (xPowerTable[i - 1] * xPowerTable[i - 1] )% 1000003;
}
for (int i = 0; i < n; i++)
{
long xPowerQuary = 1;
int twoPow = 1;
for (int j = 0; j < 30; j++)
{
if ( (quary[i] & twoPow) != 0)
{
#if DEBUG
Console.WriteLine("1 bit remain" + (quary[i] & twoPow));
#endif
xPowerQuary = (xPowerQuary * xPowerTable[j])% 1000003;
#if DEBUG
Console.WriteLine(xPowerQuary);
#endif
}
twoPow *=2;
}
answer = (answer + xPowerQuary)% 1000003;
#if DEBUG
Console.WriteLine(xPowerQuary);
#endif
}
Console.WriteLine(answer);
#if DEBUG
Console.WriteLine("LOCAL CHECK");
#endif
}
}
public static class Scanner
{
public static string[] NextStrArray()
{
return Console.ReadLine().Split(' ');
}
public static long[] NextLongArray()
{
string[] s = NextStrArray();
long[] a = new long[s.Length];
for (int i = 0; i < a.Length; i++)
{
a[i] = long.Parse(s[i]);
}
return a;
}
public static int[] NextIntArray()
{
string[] s = NextStrArray();
int[] a = new int[s.Length];
for (int i = 0; i < a.Length; i++)
{
a[i] = int.Parse(s[i]);
}
return a;
}
public static int NextInt()
{
string tmp = "";
while (true)
{
string readData = char.ConvertFromUtf32(Console.Read());
if (readData == " " || readData == "\n")
break;
tmp += readData;
}
return int.Parse(tmp);
}
public static double NextDouble()
{
string tmp = "";
while (true)
{
string readData = char.ConvertFromUtf32(Console.Read());
if (readData == " " || readData == "\n")
break;
tmp += readData;
}
return double.Parse(tmp);
}
public static long NextLong()
{
string tmp = "";
while (true)
{
string readData = char.ConvertFromUtf32(Console.Read());
if (readData == " " || readData == "\n")
break;
tmp += readData;
}
return long.Parse(tmp);
}
public static double[] NextDoubleArray()
{
string[] s = NextStrArray();
double[] a = new double[s.Length];
for (int i = 0; i < a.Length; i++)
{
a[i] = double.Parse(s[i]);
}
return a;
}
}
///
/// ・一般的なデータ構造のオブジェクトT
/// ・Icomparableを持った「新たなクラスを生成すること無く」比較方法の動的化
/// を目的とした優先度付きキュー,comparison にCompareToを入れる
/// 1回あたりの計算量はPop PushともにO(logn)
///
///
class PriorityQueue
{
ArrayList array;
public int Count { get{return array.Count;}}
Comparison comparison;
///
/// コンストラクタ
///
/// Tに対する比較方向を示すデリゲート, (a,b)のとき返り値intに a_int - b_int (a > b) なら昇順,逆なら降順
public PriorityQueue(Comparison comparison)
{
this.comparison = comparison;
array = new ArrayList();
}
///
/// ヒープ化されている配列リストに新しい要素を追加する。
///
/// 対象の配列リスト
private void PushHeap(T elem)
{
int n = array.Count;
array.Add(elem);
while (n != 0)
{
int i = (n - 1) / 2;
// 親と値を入れ替え
if (comparison((T)array[n], (T)array[i]) < 0)
{
T tmp = (T)array[n]; array[n] = array[i]; array[i] = tmp;
}
n = i;
}
}
///
/// ヒープから指定した値を削除する。
///
/// 対象の配列リスト
private T PopHeap()
{
if (array.Count == 0)
throw new IndexOutOfRangeException("要素が0のキューに要素を取り出す命令がおこなわれました");
int n = array.Count - 1;
T returnItem = (T)array[0];
array[0] = array[n];
array.RemoveAt(n);
for (int i = 0, j; (j = 2 * i + 1) < n; )
{
// 値の大きい方の子を選ぶ
if ((j != n - 1) && (comparison((T)array[j],(T)array[j+1]) > 0))
j++;
// 子と値を入れ替え
if (comparison((T)array[i], (T)array[j]) > 0)
{
T tmp = (T)array[j]; array[j] = array[i]; array[i] = tmp;
}
i = j;
}
return returnItem;
}
///
/// 要素のプッシュ.
///
/// 挿入したい要素
public void Push(T elem)
{
PushHeap(elem);
}
///
/// 要素をポップ.出したデータはコレクションの中から消える
///
///
public T Pop()
{
return PopHeap();
}
///
/// 要素を全て消去する
///
public void Clear()
{
array.Clear();
}
}