#include using namespace std; #define rep(i, n) for(int i = 0; i < n; i++) #define rep2(i, x, n) for(int i = x; i <= n; i++) #define rep3(i, x, n) for(int i = x; i >= n; i--) #define each(e, v) for(auto &e: v) #define pb push_back #define eb emplace_back #define all(x) x.begin(), x.end() #define rall(x) x.rbegin(), x.rend() #define sz(x) (int)x.size() using ll = long long; using pii = pair; using pil = pair; using pli = pair; using pll = pair; //const int MOD = 1000000007; const int MOD = 998244353; const int inf = (1<<30)-1; const ll INF = (1LL<<60)-1; template bool chmax(T &x, const T &y) {return (x < y)? (x = y, true) : false;}; template bool chmin(T &x, const T &y) {return (x > y)? (x = y, true) : false;}; struct io_setup{ io_setup(){ ios_base::sync_with_stdio(false); cin.tie(NULL); cout << fixed << setprecision(15); } } io_setup; template struct Mod_Int{ int x; Mod_Int() : x(0) {} Mod_Int(long long y) : x(y >= 0 ? y % mod : (mod - (-y) % mod) % mod) {} Mod_Int &operator += (const Mod_Int &p){ if((x += p.x) >= mod) x -= mod; return *this; } Mod_Int &operator -= (const Mod_Int &p){ if((x += mod - p.x) >= mod) x -= mod; return *this; } Mod_Int &operator *= (const Mod_Int &p){ x = (int) (1LL * x * p.x % mod); return *this; } Mod_Int &operator /= (const Mod_Int &p){ *this *= p.inverse(); return *this; } Mod_Int &operator ++ () {return *this += Mod_Int(1);} Mod_Int operator ++ (int){ Mod_Int tmp = *this; ++*this; return tmp; } Mod_Int &operator -- () {return *this -= Mod_Int(1);} Mod_Int operator -- (int){ Mod_Int tmp = *this; --*this; return tmp; } Mod_Int operator - () const {return Mod_Int(-x);} Mod_Int operator + (const Mod_Int &p) const {return Mod_Int(*this) += p;} Mod_Int operator - (const Mod_Int &p) const {return Mod_Int(*this) -= p;} Mod_Int operator * (const Mod_Int &p) const {return Mod_Int(*this) *= p;} Mod_Int operator / (const Mod_Int &p) const {return Mod_Int(*this) /= p;} bool operator == (const Mod_Int &p) const {return x == p.x;} bool operator != (const Mod_Int &p) const {return x != p.x;} Mod_Int inverse() const{ assert(*this != Mod_Int(0)); return pow(mod-2); } Mod_Int pow(long long k) const{ Mod_Int now = *this, ret = 1; for(; k > 0; k >>= 1, now *= now){ if(k&1) ret *= now; } return ret; } friend ostream &operator << (ostream &os, const Mod_Int &p){ return os << p.x; } friend istream &operator >> (istream &is, Mod_Int &p){ long long a; is >> a; p = Mod_Int(a); return is; } }; using mint = Mod_Int; template vector divisors(const T &n){ vector ret; for(T i = 1; i*i <= n; i++){ if(n%i == 0){ ret.push_back(i); if(i*i != n) ret.push_back(n/i); } } sort(begin(ret), end(ret)); return ret; } template vector> prime_factor(T n){ vector> ret; for(T i = 2; i*i <= n; i++){ int cnt = 0; while(n%i == 0) cnt++, n /= i; if(cnt > 0) ret.emplace_back(i, cnt); } if(n > 1) ret.emplace_back(n, 1); return ret; } template bool is_prime(const T &n){ if(n == 1) return false; for(T i = 2; i*i <= n; i++){ if(n%i == 0) return false; } return true; } //1,2,...,nのうちkと互いに素である自然数の個数 template T coprime(T n, T k){ vector> ps = prime_factor(k); int m = ps.size(); T ret = 0; for(int i = 0; i < (1<>j)&1) prd *= ps[j].first; } ret += (__builtin_parity(i)? -1 : 1)*(n/prd); } return ret; } vector Eratosthenes(const int &n){ vector ret(n+1, true); if(n >= 0) ret[0] = false; if(n >= 1) ret[1] = false; for(int i = 2; i*i <= n; i++){ if(!ret[i]) continue; for(int j = i+i; j <= n; j += i) ret[j] = false; } return ret; } vector Eratosthenes2(const int &n){ vector ret(n+1); iota(begin(ret), end(ret), 0); if(n >= 0) ret[0] = -1; if(n >= 1) ret[1] = -1; for(int i = 2; i*i <= n; i++){ if(ret[i] < i) continue; for(int j = i+i; j <= n; j += i) ret[j] = min(ret[j], i); } return ret; } int main(){ int N; cin >> N; vector p = Eratosthenes(N); mint ans = 1; rep2(i, 2, N){ if(!p[i]) continue; int M = 0; for(int j = i; j < N; j += i){ int a = j, b = N-j, c = 0; while(a%i == 0){ a /= i, c++; } while(b%i == 0){ b /= i, c++; } chmax(M, c); } ans *= mint(i).pow(M); } cout << ans << '\n'; }