#using ChatGPT o1-preview mod = 998244353 def compute_mobius(N): mu = [1] * (N + 1) is_prime = [True] * (N + 1) for i in range(2, N + 1): if is_prime[i]: for j in range(i, N + 1, i): is_prime[j] = False mu[j] *= -1 i_squared = i * i for j in range(i_squared, N + 1, i_squared): mu[j] = 0 return mu def compute_divisors(N): divisors = [[] for _ in range(N + 1)] for i in range(1, N + 1): for j in range(i, N + 1, i): divisors[j].append(i) return divisors def main(): def solve(): K_str, N_str = input().split() K = int(K_str) N = int(N_str) mu = compute_mobius(N) divisors = compute_divisors(N) pow2 = [1] * (N + 1) for i in range(1, N + 1): pow2[i] = (pow2[i - 1] * 2) % mod P = [0] * (N + 1) if N == 1: P[1] = 2 if K == 1 else 3 else: for n in range(2, N + 1): total = 0 for d in divisors[n]: if mu[n // d] == 0: continue total = (total + mu[n // d] * pow2[d]) % mod P[n] = total % mod print(P[N] % mod) solve() main()