#include using namespace std; typedef long long int ll; typedef pair P; typedef pair<__int128_t, __int128_t> P128; template pair operator+ (const pair &l, const pair &r) { return {l.first + r.first, l.second + r.second}; } template pair operator- (const pair &l, const pair &r) { return {l.first - r.first, l.second - r.second}; } pair<__int128_t, bool> deduce1 (P128 p, __int128_t a0, __int128_t val) { __int128_t war = val - p.first * a0; return {war / p.second, (war % p.second == 0)}; } // pair<__int128_t, bool> deduce1 (__int128_t p, __int128_t val) { // return {val / p, (val % p == 0)}; // } vector

ans; vector xs; const ll MIN_A = 0, MAX_A = 1'000'000; ll n, m; const ll FOD = 998244353; ll bpow (ll x, ll e) { x %= FOD; ll ans = 1; while (e) { if (e % 2 == 1) { ans = ans * x % FOD; } x = x * x % FOD; e /= 2; } return ans; } ll binv (ll x) { return bpow(x % FOD, FOD - 2); } vector frac, invf; void f_init (ll n) { frac.resize(n+1); invf.resize(n+1); frac[0] = 1; for (ll i = 1; i <= n; i++) { frac[i] = (frac[i-1] * i) % FOD; } invf[n] = binv(frac[n]); for (ll i = n; i >= 1; i--) { invf[i-1] = (invf[i] * i) % FOD; } } ll ncr (ll n, ll r) { if (n < 0 || r < 0 || n-r < 0) return 0; return (frac[n] * (invf[r] * invf[n-r] % FOD)) % FOD; } ll f (ll n, ll r) { if (n < 0 || r < 0) return 0; // r non-negatives, sum <= n // r+1 non-negatives, sum == n return ncr(n+r, n); } int main (void) { cin >> n >> m; f_init(n+m+5); if (n == 1) { ll ans1 = (m-1) * binv(2) % FOD; cout << ans1 << "\n"; return 0; } ll allcnt = (f(m, n) + FOD - n) % FOD; vector scorecnt(m+1); ll sum = 0; for (ll i = 1; i <= m-1; i++) { scorecnt[i] = f(m - n*i, n); sum += scorecnt[i]; sum %= FOD; } ll ans = sum * binv(allcnt) % FOD; cout << ans << "\n"; return 0; }