/* -*- coding: utf-8 -*- * * 1514.cc: No.1514 Squared Matching - yukicoder */ #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; /* constant */ const int MAX_N = 50000000; const int MAX_P = 7100; /* typedef */ typedef long long ll; typedef vector vi; /* global variables */ bool primes[MAX_P + 1]; int ts[MAX_N + 1]; /* subroutines */ int gen_primes(int maxp, vi &pnums) { memset(primes, true, sizeof(primes)); primes[0] = primes[1] = false; int p; for (p = 2; p * p <= maxp; p++) if (primes[p]) { pnums.push_back(p); for (int q = p * p; q <= maxp; q += p) primes[q] = false; } for (; p <= maxp; p++) if (primes[p]) pnums.push_back(p); return (int)pnums.size(); } /* main */ int main() { vi pnums; int pn = gen_primes(MAX_P, pnums); int n; scanf("%d", &n); for (int i = 1; i <= n; i++) ts[i] = i; for (int i = 0; i < pn; i++) { int pi = pnums[i]; if (pi * pi > n) break; int pp = pi * pi; for (ll pe = pp; pe <= n; pe *= pp) for (int q = pe; q <= n; q += pe) ts[q] /= pp; } ll sum = 0; for (int i = 1; i <= n; i++) sum += floor(sqrt((n + 0.5) / ts[i])); printf("%lld\n", sum); return 0; }