#include #include #include #include using namespace std; template struct modint{ long long val; modint(): val(0) {} modint(long long x){ if(x < 0) val = x % MOD + MOD; else val = x % MOD; } modint(const modint &t){ val = t.val; } modint& operator =(const modint m){ val = m.val; return *this; } modint operator -(){ return modint(-val); } modint& operator-=(const modint &m){ val -= m.val; if(val < 0) val += MOD; return *this; } modint& operator+=(const modint &m){ val += m.val; if(val >= MOD) val -= MOD; return *this; } modint& operator*=(const modint &m){ val *= m.val; val %= MOD; return *this; } modint& operator/=(modint m){ *this *= m.inv(); return *this; } modint inv(){ long long x = 1, y = 0; long long a = val, b = MOD; while(b != 0){ long long t = a / b; a -= t * b; x -= t * y; swap(a, b); swap(x, y); } x %= MOD; if(x < 0) x += MOD; return modint(x); } modint pow(long long k){ long long res = 1; long long v = val; while(k > 0){ if(k & 1) res = res * v % MOD; v = v * v % MOD; k >>= 1; } return modint(res); } modint operator==(const modint &m){ return val == m.val; } modint operator+(const modint &m){ return modint(*this) += m; } modint operator-(const modint &m){ return modint(*this) -= m; } modint operator*(const modint &m){ return modint(*this) *= m; } modint operator/(const modint &m){ return modint(*this) /= m; } bool operator!=(const modint &m){ return modint(*this).val != m.val; } bool operator!=(const int &m){ return modint(*this).val != m; } }; const int MOD = 998244353; using mint = modint; int main(){ int N; cin >> N; vector fac(1000010, -1); fac[1] = 1; for(int i = 2; i < 1000010; i++){ if(fac[i] != -1) continue; int t = i; while(t < 1000010){ fac[t] = i; t += i; } } map m; for(int i = 1; i < (N + 1) / 2; i++){ map t; for(int j = i; j != 1; j /= fac[j]){ t[fac[j]]++; } for(int j = N - i; j != 1; j /= fac[j]){ t[fac[j]]++; } for(auto v: t){ m[v.first] = max(m[v.first], v.second); } } mint ans = 1; for(auto v: m){ mint t = v.first; ans *= t.pow(v.second); } cout << ans.val << endl; }