import java.io.*;
import java.util.*;

public class Main {

    static ArrayList<Long> xs = new ArrayList();
    static ArrayList<Long> xn = new ArrayList();

    public static void main(String[] args) throws Exception {

        Scanner sc = new Scanner(System.in);

        long x = sc.nextLong();

        pre(x);

        int n = sc.nextInt();

        long a = 0;

        for (int i = 0; i < n; i++) {
            a += empowerment(sc.nextLong());
        }

        System.out.println(surplus(a));
    }

    private static long surplus(long source) {
        return source % 1000003;
    }

    private static long empowerment(long a) {
        long tmpX = 1;
        for (int i = xn.size() - 1; i >= 0; i--) {
            long tmp = xn.get(i);
            if (a >= tmp) {
                tmpX = surplus(tmpX * xs.get(i));
                a = a - tmp;
            }

        }

        return tmpX;
    }

    private static void pre(long x) {
        for (long i = 1; i < 1000000000; i = i + i) {
            xs.add(x);
            xn.add(i);

            x = surplus(x * x);
        }
    }
}