typedef long long ll; typedef long double ld; #include using namespace std; #define int long long struct Eratos { vector primes; vector isprime; vector mebius; vector min_factor; Eratos(int MAX) : primes(), isprime(MAX+1, true), mebius(MAX+1, 1), min_factor(MAX+1, -1) { isprime[0] = isprime[1] = false; min_factor[0] = 0, min_factor[1] = 1; for (int i = 2; i <= MAX; ++i) { if (!isprime[i]) continue; primes.push_back(i); mebius[i] = -1; min_factor[i] = i; for (int j = i*2; j <= MAX; j += i) { isprime[j] = false; if ((j / i) % i == 0) mebius[j] = 0; else mebius[j] = -mebius[j]; if (min_factor[j] == -1) min_factor[j] = i; } } } // prime factorization vector> prime_factors(int n) { vector > res; while (n != 1) { int prime = min_factor[n]; int exp = 0; while (min_factor[n] == prime) { ++exp; n /= prime; } res.push_back(make_pair(prime, exp)); } return res; } // enumerate divisors vector divisors(int n) { vector res({1}); auto pf = prime_factors(n); for (auto p : pf) { int n = (int)res.size(); for (int i = 0; i < n; ++i) { int v = 1; for (int j = 0; j < p.second; ++j) { v *= p.first; res.push_back(res[i] * v); } } } return res; } }; // 整数値 x にハッシュ値を割り当てる関数 struct custom_hash { static uint64_t splitmix64(uint64_t x) { x += 0x9e3779b97f4a7c15; x = (x ^ (x >> 30)) * 0xbf58476d1ce4e5b9; x = (x ^ (x >> 27)) * 0x94d049bb133111eb; return x ^ (x >> 31); } size_t operator() (uint64_t x) const { static const uint64_t FIXED_RANDOM = chrono::steady_clock::now().time_since_epoch().count(); return splitmix64(x + FIXED_RANDOM); } } rng; signed main(){ ll n; Eratos er((ll)1e6+10); std::cin >> n; map hashm; map cnt; cnt[0]++; ll now = 0; for (int i = 0; i < n; i++) { ll a; std::cin >> a; auto vec = er.prime_factors(a); for (auto e : vec) { if(e.second%2==0)continue; if(hashm[e.first]==0){ hashm[e.first] = rng(e.first); } now ^= hashm[e.first]; } cnt[now]++; } ll ans = 0; for (auto e : cnt) { ans += e.second*(e.second-1)/2; } std::cout << ans << std::endl; }