#include #ifdef DEBUG #include #else #define dump(...) ((void)0) #endif template bool chmin(T &a, const U &b){ return (a > b ? a = b, true : false); } template bool chmax(T &a, const U &b){ return (a < b ? a = b, true : false); } template void fill_array(T (&a)[N], const U &v){ std::fill((U*)a, (U*)(a + N), v); } template auto make_vector(const std::array &a, T value = T()){ static_assert(I >= 1); static_assert(N >= 1); if constexpr (I == 1){ return std::vector(a[N - I], value); }else{ return std::vector(a[N - I], make_vector(a, value)); } } template std::ostream& operator<<(std::ostream &s, const std::vector &a){ for(auto it = a.begin(); it != a.end(); ++it){ if(it != a.begin()) s << " "; s << *it; } return s; } template std::istream& operator>>(std::istream &s, std::vector &a){ for(auto &x : a) s >> x; return s; } std::string YesNo(bool value){return value ? "Yes" : "No";} std::string YESNO(bool value){return value ? "YES" : "NO";} std::string yesno(bool value){return value ? "yes" : "no";} template void putl(const T &value){ std::cout << value << "\n"; } template void putl(const Head head, const Tail &... tail){ std::cout << head << " "; putl(tail ...); } namespace haar_lib { std::vector enumerate_divisors(int64_t n){ std::vector temp, ret; { int64_t i; for(i = 1LL; i * i < n; ++i){ if(n % i == 0){ temp.push_back(n / i); ret.push_back(i); } } if(i * i == n) ret.push_back(i); } std::reverse(temp.begin(), temp.end()); ret.insert(ret.end(), temp.begin(), temp.end()); return ret; } } namespace haar_lib {} namespace solver { using namespace haar_lib; constexpr int m1000000007 = 1000000007; constexpr int m998244353 = 998244353; void init(){ std::cin.tie(0); std::ios::sync_with_stdio(false); std::cout << std::fixed << std::setprecision(12); std::cerr << std::fixed << std::setprecision(12); std::cin.exceptions(std::ios_base::failbit); } void solve(){ int64_t N; std::cin >> N; int64_t ans = N + 1; for(int64_t p = 2; p * p <= N; ++p){ std::set s; int64_t t = N; while(t > 0){ s.insert(t % p); t /= p; } if(s.size() == 1){ chmin(ans, p); } } for(auto d : enumerate_divisors(N)){ auto a = N / d - 1; if(d < a){ chmin(ans, a); } } std::cout << ans << "\n"; } } int main(){ solver::init(); while(true){ try{ solver::solve(); std::cout << std::flush; std::cerr << std::flush; }catch(const std::istream::failure &e){ break; }catch(...){ break; } } return 0; }