MOD = 998244353 def main(): import sys N, M = map(int, sys.stdin.readline().split()) max_m = min(M + 1, N + 1) max_m = min(max_m, N + 1) # Ensure it's up to N+1 # Precompute factorial and inverse factorial mod MOD up to 2001 max_fact = max_m fact = [1] * (max_fact + 1) for i in range(1, max_fact + 1): fact[i] = fact[i-1] * i % MOD inv_fact = [1] * (max_fact + 1) inv_fact[max_fact] = pow(fact[max_fact], MOD-2, MOD) for i in range(max_fact - 1, -1, -1): inv_fact[i] = inv_fact[i+1] * (i+1) % MOD def comb(m, k): if k < 0 or k > m: return 0 return fact[m] * inv_fact[k] % MOD * inv_fact[m - k] % MOD ans = 0 for m in range(1, max_m + 1): if m > M + 1: continue res = 0 for k in range(0, m + 1): sign = -1 if (m - k) % 2 else 1 c = comb(m, k) a = 2 * M + 1 + k - m a_mod = a % MOD a_pow = pow(a_mod, N, MOD) term = sign * c * a_pow term %= MOD res = (res + term) % MOD res = res * m % MOD ans = (ans + res) % MOD print(ans % MOD) if __name__ == "__main__": main()