#include #include using namespace std; using ll = long long; #define int ll #define rng(i, a, b) for (int i = int(a); i < int(b); i++) #define rep(i, b) rng(i, 0, b) #define ALL(a) (a).begin(), (a).end() template void chmax(t& a, u b) { if (a < b) a = b; } template void chmin(t& a, u b) { if (b < a) a = b; } template using vc = vector; template using vvc = vc>; using pi = pair; using vi = vc; using uint = unsigned; using ull = unsigned long long; int popcount(signed t) { return __builtin_popcount(t); } int popcount(ll t) { return __builtin_popcountll(t); } bool ispow2(int i) { return i && (i & -i) == i; } ll mask(int i) { return (ll(1) << i) - 1; } int lcm(int a, int b) { return a / __gcd(a, b) * b; } vector> prime_factorize(long long N) { // 12=({2,2},{3,1}) vector> res; for (long long a = 2; a * a <= N; ++a) { if (N % a != 0) continue; long long ex = 0; // 指数 while (N % a == 0) { ++ex; N /= a; } res.push_back({a, ex}); } if (N != 1) res.push_back({N, 1}); return res; } signed main() { cin.tie(0); ios::sync_with_stdio(0); cout << fixed << setprecision(20); using mint = atcoder::modint998244353; int n; cin >> n; //半分で済む //素数は? mapで数える? map cnt; for (int i = 1; i <= n; i++) { int r = n - i; if (r < i) break; auto p = prime_factorize(i); auto q = prime_factorize(r); for (const auto& u : p) { cnt[u.first] = max(cnt[u.first], u.second); } for (const auto& v : q) { cnt[v.first] = max(cnt[v.first], v.second); } } mint ans = 1; for (const auto& u : cnt) { mint tmp = u.first; ans *= tmp.pow(u.second); } cout << ans.val() << endl; }