#include #if __has_include() #include using namespace atcoder; #endif #define rep(i, n) for (int i = 0; i < (n); ++i) using namespace std; using mint = modint998244353; struct modinv { int n; vector d; modinv(): n(2), d({0,1}) {} mint operator()(int i) { while (n <= i) d.push_back(-d[mint::mod()%n]*(mint::mod()/n)), ++n; return d[i]; } mint operator[](int i) const { return d[i];} } invs; struct modfact { int n; vector d; modfact(): n(2), d({1,1}) {} mint operator()(int i) { while (n <= i) d.push_back(d.back()*n), ++n; return d[i]; } mint operator[](int i) const { return d[i];} } facts; struct modfactinv { int n; vector d; modfactinv(): n(2), d({1,1}) {} mint operator()(int i) { while (n <= i) d.push_back(d.back()*invs(n)), ++n; return d[i]; } mint operator[](int i) const { return d[i];} } ifacts; int main() { int n, m; cin >> n >> m; int q = m/n, r = m%n; vector a(n, q); rep(i, r) a[i]++; mint ans = facts(m); rep(i, n) ans *= ifacts(a[i]); cout << ans.val() << '\n'; return 0; }