#include using namespace std; using ll = long long; #define rep(i, srt, end) for (long long i = (srt); i < (long long)(end); i++) struct osa_k { using _ll = long long; #define PRIME_FACTORIZE_MAX 2000010 vector<_ll> primes; osa_k() { primes.resize((PRIME_FACTORIZE_MAX)); for(_ll i = 0; i < PRIME_FACTORIZE_MAX; i++) { primes[i] = 1; } for(_ll i = 2; i < PRIME_FACTORIZE_MAX; i++) { if(primes[i] != 1) continue; for(_ll j = i; j <= PRIME_FACTORIZE_MAX; j += i) { primes[j] = i; } } } vector> factorize(_ll n){ vector> res; while(n != 1) { _ll cur = primes[n]; _ll cnt = 0; while(n % cur == 0) { n /= cur; cnt++; } res.push_back({cur, cnt}); } reverse(res.begin(), res.end()); return res; } } osa_k; vector>factorize(long long n) { return osa_k.factorize(n); } #include using mint = atcoder::modint998244353; void solve() { ll n; cin >> n; map mp; rep(i, 1, n) { auto u = factorize(i); auto v = factorize(n-i); map w; for(auto [a, p] : u) w[a] += p; for(auto [a, p] : v) w[a] += p; for(auto [a, p] : w) mp[a] = max(mp[a], p); } mint ans = 1; for(auto [a, p] : mp) ans *= mint(a).pow(p); cout << ans.val() << endl; } int main() { ios::sync_with_stdio(false); cin.tie(nullptr); solve(); return 0; }