#include #include #include using namespace std; typedef long long ll; struct PrimeStructure { public: PrimeStructure(int max_n) : max_n(max_n), largest_prime_factor(max_n + 1, -1) { for (int i = 2; i <= max_n; i++) { if (largest_prime_factor[i] == -1) { prime_list.push_back(i); for (int j = i; j <= max_n; j += i) { largest_prime_factor[j] = i; } } } } bool is_prime(int n) { assert(n >= 0 && n <= max_n); return largest_prime_factor[n] == n; } std::vector factorize(int n) { assert(n >= 1 && n <= max_n); std::vector res; while (n > 1) { int p = largest_prime_factor[n]; if(res.empty() || p != res.back()) { res.push_back(p); } n /= p; } return res; } int size() { return prime_list.size(); } const int operator[](int i) const { assert(i < (int)prime_list.size()); return prime_list[i]; } std::vector::const_iterator begin() { return prime_list.begin(); } std::vector::const_iterator end() { return prime_list.end(); } private: int max_n; std::vector largest_prime_factor; std::vector prime_list; }; ll s[10000005]; int main() { PrimeStructure prime(10000000); for(int n = 2; n <= 10000000; n++) { int m = n; vector x = prime.factorize(n); for(int p : x) { m = m / p * (p - 1); } s[n] = s[n - 1] + m; } int t; cin >> t; while(t--) { ll n; cin >> n; cout << n * (n - 1) - s[n] << endl; } }