#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 Int = long long; using Uint = unsigned long long; using Real = long double; template inline bool chmax(T &a, U b) { return a < b and ((a = b), true); } template inline bool chmin(T &a, U b) { return a > b and ((a = b), true); } template constexpr T kBigVal = std::numeric_limits::max() / 2; #if __cplusplus < 202002L template inline int ssize(const T &a) { return (int) a.size(); } #endif struct CastInput { template operator T() const { T x; assert(std::cin >> x); return x; } struct Sized { int n; template operator T() const { T xs(n); for (auto &x: xs) assert(std::cin >> x); return xs; } }; Sized operator()(int n) const { return {n}; } } in; template std::ostream &print_seq(const Container &seq, const char *sep = " ", const char *ends = "\n", std::ostream &os = std::cout) { const auto itl = std::begin(seq), itr = std::end(seq); for (auto it = itl; it != itr; ++it) { if (it != itl) os << sep; os << *it; } return os << ends; } template inline std::ostream &print_one(const T &x, char endc) { if constexpr (std::is_same::value) { return std::cout << (x ? "Yes" : "No") << endc; } else { return std::cout << x << endc; } } template inline std::ostream &print(const T &x) { return print_one(x, '\n'); } template std::ostream &print(const T &head, Ts... tail) { return print_one(head, ' '), print(tail...); } inline std::ostream &print() { return std::cout << '\n'; } void init_(bool interactive = false) { std::ios::sync_with_stdio(false); if (not interactive) std::cin.tie(nullptr); std::cout << std::fixed << std::setprecision(18); } void exit_() { #ifdef MY_DEBUG std::string unused; assert(not(std::cin >> unused)); // No input is left behind. #endif std::cout.flush(), std::cerr.flush(), std::_Exit(0); } inline void init_test_case(int t, int T) { #ifdef MY_DEBUG if (T > 1) { std::cerr << "\033[35m=== case " << t << " of " << T << " ===\033[0m" << std::endl; } #endif } #ifdef MY_DEBUG #include "debug_dump.hpp" #include "backward.hpp" backward::SignalHandling kSignalHandling; #else #define DUMP(...) #define cerr if(false)cerr #endif using namespace std; // O(n) sieve struct PrimeSieve { std::vector spf; // smallest prime factors table. std::vector primes; explicit PrimeSieve(int n) : spf(n + 1) { for (int i = 2; i <= n; ++i) { if (spf[i] == 0) { spf[i] = i; primes.push_back(i); } for (const auto &p: primes) { if (i * p > n) break; spf[i * p] = p; if (i % p == 0) break; } } } inline bool is_prime(int n) const { return spf[n] == n; } auto factorize(int n) const { assert(0 < n and n < int(spf.size())); std::vector> res; while (n > 1) { const int p = spf[n]; int count = 0; do { n /= p; ++count; } while (n % p == 0); res.emplace_back(p, count); } return res; } }; // Enumerates divisors from prime factorization. // O(d(n)) + sorting std::vector enumerate_divisors( const std::vector> &fac) { std::vector res = {1}; for (auto [p, k]: fac) { int sz = res.size(); for (int i = 0; i < sz; ++i) { Int pp = 1; for (int j = 0; j < k; ++j) { pp *= p; res.push_back(res[i] * pp); } } } //std::sort(res.begin(), res.end()); return res; } auto solve() { Int N = in; vector fp(N + 10, -1); for (int i = 1; i <= N; ++i) { Int i2 = Int(i) * i; if (i2 > N) break; for (Int j = 1;; ++j) { Int x = j * i2; if (x > N) break; fp[x] = j; } } vector cnt(N + 10, 0); for (int i = 1; i <= N; ++i) { ++cnt[fp[i]]; } Int ans = 0; for (int i = 1; i <= N; ++i) { ans += Int(cnt[i]) * cnt[i]; } print(ans); } int main() { init_(); const int T = 1;//in; REP(t, T) { init_test_case(t, T); (solve()); } exit_(); }