#include using namespace std; const long long MOD = 998244353; long long mod_pow(long long a, long long e = MOD - 2) { long long r = 1; for (; e; e >>= 1, a = a * a % MOD) if (e & 1) r = r * a % MOD; return r; } int main() { ios::sync_with_stdio(false); cin.tie(nullptr); long long N, M; // 1 ≤ N, M ≤ 1e6 cin >> N >> M; if (N == 1) { // 特殊ケース long long ans = ((M - 1) % MOD) * mod_pow(2) % MOD; cout << ans << '\n'; return 0; } long long LIM = N + M; // ≤ 2e6 vector fac(LIM + 1), ifac(LIM + 1); fac[0] = 1; for (long long i = 1; i <= LIM; ++i) fac[i] = fac[i - 1] * i % MOD; ifac[LIM] = mod_pow(fac[LIM]); for (long long i = LIM; i; --i) ifac[i - 1] = ifac[i] * i % MOD; auto C = [&](long long a, long long b) -> long long { if (b < 0 || b > a) return 0; return fac[a] * ifac[b] % MOD * ifac[a - b] % MOD; }; long long denom = (C(M + N, N) - N) % MOD; if (denom < 0) denom += MOD; long long num = 0; for (long long k = 1, K = M / N; k <= K; ++k) { num += C(M - k * N + N, N); if (num >= MOD) num -= MOD; } long long ans = num * mod_pow(denom) % MOD; cout << ans << '\n'; }