#include //#include using namespace std; //using namespace atcoder; using ll = long long; #define all(A) A.begin(),A.end() using vll = vector; #define rep(i, n) for (long long i = 0; i < (long long)(n); i++) using Graph = vector>; vll P = { 3,5,7,11,13,17,19,23,29,31,37 }; vector PP(P.size()); set S; vll PPP; ll sqrtz(ll N) { ll L = 0; ll R = sqrt(N)+10000; while (abs(R - L) > 1) { ll mid = (R +L) / 2; if (mid * mid <= N)L = mid; else R = mid; } return L; } bool isOK(ll index, ll key) { ll k = 0; ll D = sqrtz(index); k += D; auto Ds = upper_bound(all(PPP), index) - PPP.begin(); k += (Ds); return (k >= key); } // 汎用的な二分探索のテンプレ ll binary_search(ll key) { ll ng = 0; //「index = 0」が条件を満たすこともあるので、初期値は -1 ll ok = key * key + 3; // 「index = a.size()-1」が条件を満たさないこともあるので、初期値は a.size() /* ok と ng のどちらが大きいかわからないことを考慮 */ while (abs(ok - ng) > 1) { ll mid = (ok + ng) / 2; cout << ""; if (isOK(mid, key)) ok = mid; else ng = mid; } return ok; } int main() { //set S; S.insert(2e18); for (ll p = 2; p <= 1e6+4; p++) { ll k = sqrtz(p); if (k * k == p)continue; ll d = p; while (d <= (1e18 + 6) / (p * p)) { d *= p * p; S.insert(d); } } for (auto l : S) { PPP.push_back(l); } ll T; cin >> T; rep(t, T) { ll N; cin >> N; cout << binary_search(N) << endl; } }