#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; #if __has_include() #include using namespace atcoder; #endif #define GET_MACRO(_1, _2, _3, NAME, ...) NAME #define _rep(i, n) _rep2(i, 0, n) #define _rep2(i, a, b) for(int i = (int)(a); i < (int)(b); i++) #define rep(...) GET_MACRO(__VA_ARGS__, _rep2, _rep)(__VA_ARGS__) #define all(x) (x).begin(), (x).end() #define rall(x) (x).rbegin(), (x).rend() using i64 = long long; template bool chmin(T& a, const U& b) { return (b < a) ? (a = b, true) : false; } template bool chmax(T& a, const U& b) { return (b > a) ? (a = b, true) : false; } templateistream& operator>>(istream&i,vector&v){rep(j,v.size())i>>v[j];return i;} templatestring join(vector&v){stringstream s;rep(i,v.size())s<<' '<ostream& operator<<(ostream&o,vector&v){if(v.size())o<string join(vector>&vv){string s="\n";rep(i,vv.size())s+=join(vv[i])+"\n";return s;} templateostream& operator<<(ostream&o,vector>&vv){if(vv.size())o< sieve(int n){ vector res(n + 1); iota(all(res), 0); rep(i, 2, n){ if (res[i] > 1){ for (int j = i + i; j <= n; j += i){ if (res[j] == j) res[j] = res[i]; } } } return res; } auto f = sieve(1000010); int main() { int n; cin >> n; map ans; rep(i, 1, (n + 3) / 2){ unordered_map mp; auto a = i, b = n - i; while (a > 1){ mp[f[a]]++; a /= f[a]; } while (b > 1){ mp[f[b]]++; b /= f[b]; } for (auto& [k, j]: mp) chmax(ans[k], j); } i64 t = 1; for (auto [i, j]: ans) t *= pow_mod(i, j, mod), t %= mod; cout << t << endl; }