#include #define REP_(i, a_, b_, a, b, ...) \ for (int i = (a), END_##i = (b); i < END_##i; ++i) #define REP(i, ...) REP_(i, __VA_ARGS__, __VA_ARGS__, 0, __VA_ARGS__) #define ALL(x) std::begin(x), std::end(x) using i64 = long long; template inline bool chmax(T &a, U b) { return a < b and ((a = std::move(b)), true); } template inline bool chmin(T &a, U b) { return a > b and ((a = std::move(b)), true); } template inline int ssize(const T &a) { return (int)std::size(a); } template std::istream &operator>>(std::istream &is, std::vector &a) { for (auto &x : a) is >> x; return is; } template std::ostream &operator<<(std::ostream &os, const std::pair &a) { return os << "(" << a.first << ", " << a.second << ")"; } template std::ostream &print_seq(const Container &a, std::string_view sep = " ", std::string_view ends = "\n", std::ostream &os = std::cout) { auto b = std::begin(a), e = std::end(a); for (auto it = std::begin(a); it != e; ++it) { if (it != b) os << sep; os << *it; } return os << ends; } template struct is_iterable : std::false_type {}; template struct is_iterable())), decltype(std::end(std::declval()))>> : std::true_type {}; template ::value && !std::is_same::value && !std::is_same::value>> std::ostream &operator<<(std::ostream &os, const T &a) { return print_seq(a, ", ", "", (os << "{")) << "}"; } #ifdef ENABLE_DEBUG #include "debug_dump.hpp" #else #define DUMP(...) #endif using namespace std; auto solve() { i64 n; cin >> n; vector p(n + 1, true); vector b(n + 1); p[0] = p[1] = false; REP(i, n + 1) b[i] = i; for (int i = 4; i <= n; i += 2) { p[i] = false; while ((b[i] & 3) == 0) b[i] >>= 2; } for (i64 i = 3; i * i <= n; i += 2) { if (not p[i]) continue; i64 ii = i * i; for (int j = ii; j <= n; j += i) { p[j] = false; while ((b[j] % ii) == 0) b[j] /= ii; } } REP(i, 1, n + 1) { b[i] = n / b[i]; } i64 ans = 0; for (i64 x = 1; x <= n; ++x) { i64 r = std::sqrt(b[x]); ans += r; } return ans; } int main() { ios_base::sync_with_stdio(false), cin.tie(nullptr); cout << solve() << "\n"; }