x, n = [int(s) for s in input().split()] a = [int(s) for s in input().split()] mod = 1000003 xx = [0] * 100000001 xx[0] = 1 for e in range(1, 1000000 + 1): xx[e] = xx[e - 1] * x % mod res = 0 for ai in a: if xx[ai] == 0: d = ai // 1000000 * 1000000 for e in range(1, ai // 1000000 + 1): xx[(e + 1) * 1000000] = xx[e * 1000000] * xx[1000000] % mod for e in range(1, ai % 1000000 + 1): xx[d + e] = xx[d + e - 1] * x % mod res = (res + xx[ai]) % mod print(res)