#include #include using namespace std; typedef long long ll; const ll MOD = 998244353; std::vector enum_prime(int n){ // containing n std::vector res; if (n <= 1) return res; std::vector p(n + 1); fill(p.begin() + 2, p.end(), true); for(int i = 2; i <= n; i++){ if(p[i]){ res.push_back(i); for(int j = i * 2; j <= n; j += i) p[j] = false; } } return res; } int main() { int n; cin >> n; vector prime = enum_prime(n); ll ans = 1; for(int p : prime){ ll q = 1; while(q * p < n) q *= p; ll r = n - q; ans = ans * q % MOD; while(r % p == 0){ ans = ans * p % MOD; r /= p; } } cout << ans << endl; }