#include #ifndef DUMP #define DUMP(...) (void)0 #endif using namespace std; template > constexpr T power(T a, uint64_t n, T init = 1, Op op = Op{}) { while (n) { if (n & 1) init = op(init, a); if (n >>= 1) a = op(a, a); } return init; } template struct modular { using T = modular; static constexpr uint32_t mod = M; uint32_t v; modular(int64_t x = 0) : v((x %= mod) < 0 ? x + mod : x) {} T operator-() const { return T() -= *this; } T& operator+=(T b) { return (int)(v += b.v - mod) < 0 ? v += mod : v, *this; } T& operator-=(T b) { return (int)(v -= b.v) < 0 ? v += mod : v, *this; } T& operator*=(T b) { return v = (uint64_t)v * b.v % mod, *this; } T& operator/=(T b) { return *this *= power(b, mod - 2); } friend T operator+(T a, T b) { return a += b; } friend T operator-(T a, T b) { return a -= b; } friend T operator*(T a, T b) { return a *= b; } friend T operator/(T a, T b) { return a /= b; } friend bool operator==(T a, T b) { return a.v == b.v; } }; using mint = modular<998244353>; vector fact, inv_fact, minv; void prepare(int n) { fact.resize(n + 1), inv_fact.resize(n + 1), minv.resize(n + 1); for (int i = 0; i <= n; ++i) fact[i] = i ? fact[i - 1] * i : 1; inv_fact[n] = power(fact[n], mint::mod - 2); for (int i = n; i--;) inv_fact[i] = (i + 1) * inv_fact[i + 1]; for (int i = 1; i <= n; ++i) minv[i] = inv_fact[i] * fact[i - 1]; } mint binom(int n, int k) { if (k < 0 or k > n) return 0; return fact[n] * inv_fact[k] * inv_fact[n - k]; } template <> mint& mint::operator/=(mint b) { return *this *= b.v < minv.size() ? minv[b.v] : power(b, mod - 2); } int main() { cin.tie(nullptr)->sync_with_stdio(false); int n, m; cin >> n >> m; prepare(m); mint res; for (int x = 0; n * x <= m; ++x) { int y = m - n * x; res += binom(x + y, x); } if (n == 1) res = 1; cout << res.v << '\n'; }