#include #include using namespace atcoder; #define rep(i, n) for(ll i = 0; i < n; i++) #define rep2(i, m, n) for(ll i = m; i <= n; i++) #define rrep(i, m, n) for(ll i = m; i >= n; i--) #define all(a) a.begin(), a.end() #define rall(a) a.rbegin(), a.rend() #define MAX(x) *max_element(all(x)) #define MIN(x) *min_element(all(x)) #define SZ(a) ((ll)(a).size()) using namespace std; typedef long long ll; typedef pair P; const ll mod = 1000000007; const int dx[4] = { -1, 1, 0, 0 }; const int dy[4] = { 0, 0, 1, -1 }; const int inf = 1e9 + 1; const ll INF = 1e18 + 1; const double pi = acos(-1); using Graph = vector < vector >; //typedef atcoder::modint1000000007 mint; //typedef atcoder::modint998244353 mint; //typedef modint mint_b; const int MAX_N = 50000010; vector prime; // i.th prime vector first_prime(MAX_N + 1); // その数を最初に割り切る素数を格納 i = first_prime[i]ならiは素数(i≧2) void sieve() { for (int i = 0; i <= MAX_N; i++) first_prime[i] = 1; first_prime[0] = first_prime[1] = 1; for (int i = 2; i <= MAX_N; i++) { if (first_prime[i] == 1) { prime.push_back(i); for (int j = i; j <= MAX_N; j += i) first_prime[j] = i; } } } int main() { ios::sync_with_stdio(false); cin.tie(nullptr); ll n; cin >> n; sieve(); ll res = 0; for(int i = 1; i <= n; i++) { map mp; int m = i; while (m > 1) { mp[first_prime[m]]++; m /= first_prime[m]; } int cur = 1; for (auto v : mp) { if (v.second % 2 == 1) cur *= v.first; } int x = i / cur; int le = 1, ri = i + 1; while (ri - le >= 1) { int mid = (le + ri) / 2; if (mid * mid <= x) { le = mid + 1; } else { ri = mid; } } res += (le - 1) * 2 - 1; } cout << res << endl; }