#include using namespace std; #define SZ(x) (int) (x).size() #define REP(i, n) for(int i = 0; i < (n); i++) #define FOR(i, a, b) for(auto i = (a); i < (b); i++) #define For(i, a, b, c) \ for(auto i = (a); i != (b); i += (c)) #define REPR(i, n) for(auto i = (n) -1; i >= 0; i--) #define ALL(s) (s).begin(), (s).end() #define so(V) sort(ALL(V)) #define rev(V) reverse(ALL(V)) #define uni(v) v.erase(unique(ALL(v)), (v).end()) #define eb emplace_back typedef long long unsigned int llu; typedef long long ll; typedef vector vi; typedef vector vll; typedef vector vb; typedef vector vvi; typedef vector vvll; typedef pair PI; typedef pair PL; const double EPS = 1e-9; const int MOD = 1e9 + 7; const int INF = (1 << 30); const ll LINF = 1e18; const double math_PI = acos(-1); template vector make_v(size_t a) { return vector(a); } template auto make_v(size_t a, Ts... ts) { return vector(ts...))>( a, make_v(ts...)); } template typename enable_if::value == 0>::type fill_v( T& t, const V& v) { t = v; } template typename enable_if::value != 0>::type fill_v( T& t, const V& v) { for(auto& e: t) fill_v(e, v); } template bool chmax(T& a, const T& b) { if(a < b) { a = b; return true; } return false; } template bool chmin(T& a, const T& b) { if(a > b) { a = b; return true; } return false; } template istream& operator>>(istream& is, pair& p) { cin >> p.first >> p.second; return is; } template istream& operator>>(istream& is, vector& vec) { for(T& x: vec) is >> x; return is; } template string join(string splitter, vector& vec) { stringstream ss; REP(i, SZ(vec)) { if(i != 0) ss << splitter; ss << vec[i]; } return ss.str(); } template ostream& operator<<(ostream& os, vector& vec) { os << join(" ", vec); return os; } template struct Comb { private: vector _fact; vector inv; int pre_build; void expand(int x) { if(pre_build == -1) return; while(SZ(_fact) <= x) { int next = SZ(_fact); _fact.push_back(_fact[next - 1] * next); inv.push_back(_fact[next].inv()); } } T nPr_calc(int n, int r) { T ret = 1; for(int i = n; i > n - r; i--) ret *= i; return ret; } T nCr_calc(int n, int r) { T ret = 1; REP(i, r) { ret *= n - i; ret /= i + 1; } return ret; } public: Comb(int pre_build = 0): pre_build(pre_build) { if(pre_build == -1) { return; } _fact = vector(pre_build + 1); _fact[0] = 1; inv = vector(pre_build + 1); REP(i, pre_build) { _fact[i + 1] = _fact[i] * (i + 1); } inv[pre_build] = _fact[pre_build].inv(); REPR(i, pre_build) { inv[i] = inv[i + 1] * (i + 1); } } T nPr(int n, int r) { assert(r >= 0); assert(n >= r); expand(n); if(pre_build == -1) return nPr_calc(n, r); return _fact[n] * inv[n - r]; } T nCr(int n, int r) { assert(r >= 0); assert(n >= r); expand(n); if(pre_build == -1) return nCr_calc(n, r); return _fact[n] * inv[r] * inv[n - r]; } T nHr(int n, int r) { assert(r >= 0); assert(n >= 1); expand(n + r - 1); return nCr(n + r - 1, r); } T type_permission(vi V) { assert(pre_build != -1); int sum = 0; for(int i: V) { assert(i >= 0); sum += i; } expand(sum); T ans = _fact[sum]; for(int i: V) ans *= inv[i]; return ans; } T fact(int n) { expand(n); return _fact[n]; } T inv_fact(int n) { expand(n); return inv[n]; } }; #include using namespace atcoder; using mint = modint998244353; int main() { cin.tie(nullptr); ios::sync_with_stdio(false); int N, M; cin >> N >> M; Comb comb(N); mint ans = comb.fact(M); REP(i, N) { int cur = (M + i) / N; ans *= comb.inv_fact(cur); } cout << ans.val() << endl; return 0; }