#include using namespace std; using ll = long long; using ld = long double; using pll = pair; using tlll = tuple; //constexpr ll MOD = 1e9 + 7; constexpr ll MOD = 998244353; //constexpr ll MOD = ; ll mod(ll A, ll M) {return (A % M + M) % M;} constexpr ll INF = 1LL << 60; template bool chmin(T& a, T b) {if (a > b) {a = b; return true;} return false;} template bool chmax(T& a, T b) {if (a < b) {a = b; return true;} return false;} ll divceil(ll A, ll B) {return (A + (B - 1)) / B;} #define FINALANS(A) do {cout << (A) << '\n'; exit(0);} while (false) class prime { public: vector isprime; vector P; vector> fac; prime(ll N) { isprime = vector(N + 1, true); isprime.at(0) = false, isprime.at(1) = false; for (ll n = 2; n <= N; n++) { if (isprime.at(n)) { P.push_back(n); for (ll k = 2; k * n <= N; k++) { isprime.at(k * n) = false; } } } fac = vector>(N + 1); for (auto p : P) { for (ll k = 1; k * p <= N; k++) { fac.at(k * p).push_back(make_pair(p, 1)); } for (ll tmp = p * p; tmp <= N; tmp *= p) { for (ll k = 1; k * tmp <= N; k++) { fac.at(k * tmp).back().second++; } } } } }; int main() { ll N; cin >> N; prime pr(N - 1); ll ans = 1; vector T(N); for (auto p : pr.P) { ll tmp = 1; if (N % p == 0) { fill(T.begin(), T.end(), 1); for (ll i = 1; i <= N - 1; i++) { ll ii = i; while (ii % p == 0) { ii /= p; T.at(i) *= p; } } for (ll i = 1; i <= N - 1; i++) { chmax(tmp, T.at(i) * T.at(N - i)); } ans *= tmp % MOD; ans %= MOD; } else { while (tmp * p <= N) { tmp *= p; } ans *= tmp % MOD; ans %= MOD; } //cerr << tmp << endl; } cout << ans << endl; }