#include "bits/stdc++.h" #define int long long using namespace std; using ll = long long; using P = pair; const ll INF = (1LL << 61); ll mod = 998244353; struct mint { ll x; // typedef long long ll; mint(ll x = 0) :x((x%mod + mod) % mod) {} mint operator-() const { return mint(-x); } mint& operator+=(const mint a) { if ((x += a.x) >= mod) x -= mod; return *this; } mint& operator-=(const mint a) { if ((x += mod - a.x) >= mod) x -= mod; return *this; } mint& operator*=(const mint a) { (x *= a.x) %= mod; return *this; } mint operator+(const mint a) const { mint res(*this); return res += a; } mint operator-(const mint a) const { mint res(*this); return res -= a; } mint operator*(const mint a) const { mint res(*this); return res *= a; } mint pow(ll t) const { if (!t) return 1; mint a = pow(t >> 1); a *= a; if (t & 1) a *= *this; return a; } // for prime mod mint inv() const { return pow(mod - 2); } mint& operator/=(const mint a) { return (*this) *= a.inv(); } mint operator/(const mint a) const { mint res(*this); return res /= a; } }; istream& operator>>(istream& is, mint& a) { return is >> a.x; } ostream& operator<<(ostream& os, const mint& a) { return os << a.x; } struct Sieve { int n; vector f, primes; // n以下の素数を列挙する Sieve(int n = 1) :n(n), f(n + 1) { f[0] = f[1] = -1; for (ll i = 2; i <= n; ++i) { if (f[i]) continue; primes.push_back(i); f[i] = i; for (ll j = i * i; j <= n; j += i) { if (!f[j]) f[j] = i; } } } // xが素数かどうか判定する bool isPrime(int x) { return f[x] == x; } // 素因数を全列挙 vector factorList(int x) { vector res; while (x != 1) { res.push_back(f[x]); x /= f[x]; } return res; } // ランレングス圧縮 vector

factor(int x) { vector fl = factorList(x); if (fl.size() == 0) return {}; vector

res(1, P(fl[0], 0)); for (int p : fl) { if (res.back().first == p) { res.back().second++; } else { res.emplace_back(p, 1); } } return res; } }; signed main() { ios::sync_with_stdio(false); cin.tie(0); int N; cin >> N; Sieve s(N + 100); mapmp; for (int i = 1; i < N; i++) { vector

p1 = s.factor(i), p2 = s.factor(N - i); mapnow; for (auto x : p1) { now[x.first] += x.second; } for (auto x : p2) { now[x.first] += x.second; } for (auto x : now) { mp[x.first] = max(mp[x.first], x.second); } } mint ans = 1; for (auto x : mp) { ans *= mint(x.first).pow(x.second); } cout << ans << endl; return 0; }