#define CPP17 #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 #include #include #ifdef CPP17 #include #endif #define endl codeforces #define ALL(v) std::begin(v), std::end(v) #define ALLR(v) std::rbegin(v), std::rend(v) using ll = std::int64_t; using ull = std::uint64_t; using pii = std::pair; using tii = std::tuple; using pll = std::pair; using tll = std::tuple; using size_type = ssize_t; template using vec = std::vector; template using vvec = vec>; template const T& var_min(const T &t) { return t; } template const T& var_max(const T &t) { return t; } template const T& var_min(const T &t, const Tail&... tail) { return std::min(t, var_min(tail...)); } template const T& var_max(const T &t, const Tail&... tail) { return std::max(t, var_max(tail...)); } template void chmin(T &t, const Tail&... tail) { t = var_min(t, tail...); } template void chmax(T &t, const Tail&... tail) { t = var_max(t, tail...); } template struct multi_dim_array { using type = std::array::type, Head>; }; template struct multi_dim_array { using type = std::array; }; template using mdarray = typename multi_dim_array::type; #ifdef CPP17 template void fill_seq(T &t, F f, Args... args) { if constexpr (std::is_invocable::value) { t = f(args...); } else { for (size_type i = 0; i < t.size(); i++) fill_seq(t[i], f, args..., i); } } #endif template vec make_v(size_type sz) { return vec(sz); } template auto make_v(size_type hs, Tail&&... ts) { auto v = std::move(make_v(std::forward(ts)...)); return vec(hs, v); } namespace init__ { struct InitIO { InitIO() { std::cin.tie(nullptr); std::ios_base::sync_with_stdio(false); std::cout << std::fixed << std::setprecision(30); } } init_io; } template T ceil_pow2(T bound) { T ret = 1; while (ret < bound) ret *= 2; return ret; } template T ceil_div(T a, T b) { return a / b + !!(a % b); } #define CPP17 using i128 = __int128_t; std::istream& operator >>(std::istream &is, i128 &n) { std::string s; is >> s; n = 0; bool minus = false; for (char c : s) { if (c == '-') { minus = true; continue; } n = n * 10 + (c - '0'); } if (minus) n *= -1; return is; } std::ostream& operator <<(std::ostream &os, i128 n) { if (n == 0) { os << 0; return os; } char buf[50] = { }; int idx = 0; bool minus = false; if (n < 0) { minus = true; buf[idx++] = '-'; n *= -1; } for (; n; n /= 10, idx++) buf[idx] = static_cast('0' + (n % 10)); std::reverse(buf + minus, buf + idx); os << buf; return os; } int main() { i128 n; std::cin >> n; i128 ans = n; for (i128 i = 2; i <= 1e6 + 10; i++) { i128 cnt = 0, pow = 1; while (pow < n) { cnt++; pow *= i; } chmin(ans, cnt * i); } std::cout << ans << "\n"; return 0; }