class Combination: def __init__(self, MX, MOD): self.MX = MX self.MOD = MOD self.fact = [1] * (MX + 1) self.inv = [1] * (MX + 1) self.fact_inv = [1] * (MX + 1) for i in range(2, MX + 1): self.fact[i] = (self.fact[i - 1] * i) % MOD self.inv[i] = ((- self.inv[MOD % (i)]) * (MOD // i)) % MOD self.fact_inv[i] = (self.fact_inv[i - 1] * self.inv[i]) % MOD def factorial(self, n): return self.fact[n] def inverse(self, n): return self.inv[n] def combination(self, n, r): return (self.fact[n] * self.fact_inv[n - r] * self.fact_inv[r]) % self.MOD N, M = map(int, input().split()) MOD = 998244353 cmb = Combination(max(N, M) + 1, MOD) ans = pow(M, 2 * N + 1, MOD) for k in range(1, min(N + 1, M) + 1): ans_k = cmb.combination(N, k - 1) * cmb.combination(M, k) % MOD ans_k = ans_k * pow(k, k - 2, MOD) * cmb.factorial(k - 1) * pow(2, k - 1, MOD) % MOD ans_k = ans_k * pow(M - k, 2 * (N - k + 1), MOD) % MOD ans = (ans - ans_k) % MOD print(ans)