#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; typedef long long ll; using ull = unsigned long long; template inline bool chmax(T& a, T b) { if (a < b) { a = b; return 1; } return 0; } template inline bool chmin(T& a, T b) { if (a > b) { a = b; return 1; } return 0; } //template T gcd(T a, T b) { a = abs(a), b = abs(b); while (b > 0) { tie(a, b) = make_pair(b, a % b); }return a; } //mt19937 rnd(chrono::steady_clock::now().time_since_epoch().count()); constexpr long long INF = 1LL << 60; constexpr int inf = 1000000007; //constexpr long long mod = 1000000007LL; constexpr long long mod = 998244353; int main() { cin.tie(nullptr); ios::sync_with_stdio(false); ll n; cin >> n; if (n == 1) { cout << 2 << "\n"; return 0; } if (n == 2) { cout << 3 << "\n"; return 0; } ll res = INF; for (ll i = 2; i * i <= n; i++) { ll cur = 1; ll b = 1; while (cur <= n) { if (n % cur == 0 and n / cur < i) { chmin(res, i); } b *= i; cur += b; } } //ii(p) = p * i + i = n for (ll i = 1; i * i <= n; i++) { if (n % i == 0) { ll t = n / i; t -= 1; if (t > i) chmin(res, t); } } cout << res << "\n"; }