class CP: def __init__(self, N): self.fact = [1]*(N+1) self.fact_inv = [1]*(N+1) for i in range(2, N+1): self.fact[i] = self.fact[i-1]*i%MOD self.fact_inv[N] = pow(self.fact[N], -1, MOD) for i in reversed(range(1, N)): self.fact_inv[i] = self.fact_inv[i+1]*(i+1)%MOD def C(self, N, K): if N < 0 or K < 0 or N < K: return 0 return self.fact[N]*self.fact_inv[K]%MOD*self.fact_inv[N-K]%MOD def P(self, N, K): if N < 0 or K < 0 or N < K: return 0 return self.fact[N]*self.fact_inv[N-K]%MOD def H(self, N, K): if N < 0 or K < 0: return 0 if N == K == 0: return 1 return self.C(N+K-1, K) N, M = map(int, input().split()) MOD = 998244353 def inverse(n, d): return n * pow(d, -1, MOD) % MOD if N == 1: if M%2 == 1: print(M//2) else: print(inverse(M//2*2-1, 2)) exit() ans = 0 cp = CP(10**6*3) for MIN in range(1, M): r = M-MIN*N if r < 0: break cnt = cp.H(N+1, r) if (MIN+1)*N <= M: r = M-(MIN+1)*N cnt -= cp.H(N+1, r) cnt %= MOD ans += MIN*cnt ans %= MOD print(inverse(ans, (cp.H(N+1, M)-N)%MOD))