#define _USE_MATH_DEFINES #include using namespace std; #define FOR(i,m,n) for(int i=(m);i<(n);++i) #define REP(i,n) FOR(i,0,n) #define ALL(v) (v).begin(),(v).end() using ll = long long; constexpr int INF = 0x3f3f3f3f; constexpr long long LINF = 0x3f3f3f3f3f3f3f3fLL; constexpr double EPS = 1e-8; constexpr int MOD = 1000000007; // constexpr int MOD = 998244353; constexpr int dy[] = {1, 0, -1, 0}, dx[] = {0, -1, 0, 1}; constexpr int dy8[] = {1, 1, 0, -1, -1, -1, 0, 1}, dx8[] = {0, -1, -1, -1, 0, 1, 1, 1}; template inline bool chmax(T &a, U b) { return a < b ? (a = b, true) : false; } template inline bool chmin(T &a, U b) { return a > b ? (a = b, true) : false; } struct IOSetup { IOSetup() { std::cin.tie(nullptr); std::ios_base::sync_with_stdio(false); std::cout << fixed << setprecision(20); } } iosetup; template std::vector divisor(T val) { std::vector res; for (T i = 1; i * i <= val; ++i) { if (val % i == 0) { res.emplace_back(i); if (i * i != val) res.emplace_back(val / i); } } std::sort(res.begin(), res.end()); return res; } int main() { ll n; cin >> n; if (n == 1) { cout << 2 << '\n'; return 0; } if (n == 2) { cout << 3 << '\n'; return 0; } for (int p = 2; 1LL * p * p <= n; ++p) { int digit = n % p; ll tmp = n / p; bool ans = true; while (tmp > 0 && ans) { ans &= tmp % p == digit; tmp /= p; } if (ans) { cout << p << '\n'; return 0; } } ll ans = LINF; for (ll d : divisor(n)) { ll p = n / d - 1; if (p >= 2 && d < p) chmin(ans, p); } cout << ans << '\n'; return 0; }