#include using namespace std; #ifdef tabr #include "library/debug.cpp" #else #define debug(...) #endif int main() { ios::sync_with_stdio(false); cin.tie(0); long long n; cin >> n; if (n == 1 || n == 3) { cout << 2 << '\n'; return 0; } else if (n == 2) { cout << 3 << '\n'; return 0; } for (long long p = 2; p * p <= n; p++) { long long m = n; long long q = m % p; bool ok = true; while (m) { if (m % p != q) { ok = false; break; } m /= p; } if (ok) { cout << p << '\n'; return 0; } } vector d; for (long long p = 1; p * p <= n; p++) { if (n % p == 0) { d.emplace_back(n / p - 1); } } reverse(d.begin(), d.end()); for (long long p : d) { if (n / (p + 1) <= p - 1) { cout << p << '\n'; break; } } return 0; }