import math def main(): import sys input = sys.stdin.read().split() ptr = 0 N = int(input[ptr]) ptr += 1 M = int(input[ptr]) ptr += 1 list_bc = [] for _ in range(M): B = int(input[ptr]) C = int(input[ptr + 1]) ptr += 2 list_bc.append((B, C)) x = 0 mod = 1 for B, C in list_bc: d = (C - x) % B g = math.gcd(mod, B) if d % g != 0: print("NaN") return a_prime = mod // g m_prime = B // g d_prime = d // g try: inv = pow(a_prime, -1, m_prime) except ValueError: print("NaN") return k0 = (d_prime * inv) % m_prime x += k0 * mod mod = (mod * B) // g x = x % mod if x <= N: print(x) else: print("NaN") if __name__ == "__main__": main()