//#pragma GCC optimize ("O2") //#pragma GCC target ("avx2") #include //#include //using namespace atcoder; using namespace std; typedef long long ll; #define rep(i, n) for(int i = 0; i < (n); i++) #define rep1(i, n) for(int i = 1; i <= (n); i++) #define co(x) cout << (x) << "\n" #define cosp(x) cout << (x) << " " #define ce(x) cerr << (x) << "\n" #define cesp(x) cerr << (x) << " " #define pb push_back #define mp make_pair #define chmin(x, y) x = min(x, y) #define chmax(x, y) x = max(x, y) #define Would #define you #define please int main() { cin.tie(0); ios::sync_with_stdio(false); int N; cin >> N; const int mod = 998244353; int A[1000001] = {}; rep1(i, 1000000) A[i] = 1; for (int i = 2; i <= 1000000; i++) if (A[i] == 1) { for (int j = i + i; j <= 1000000; j += i) { A[j] = i; } } int B[1000001] = {}; int mada = 1; for (int i = N; i >= 2; i--) { if (A[i] == 1 && mada) { mada = 0; continue; } map MP; int tmp = i; while (A[tmp] != 1) { MP[A[tmp]]++; tmp /= A[tmp]; } if (tmp != 1) MP[tmp]++; for (auto p : MP) chmax(B[p.first], p.second); } ll kotae = 1; rep1(i, 1000000) { rep(j, B[i]) kotae = kotae * i % mod; } co(kotae); Would you please return 0; }