#include //#include using namespace std; #define lli long long int #define REP(i, s, n) for (lli i = s; i < n; i++) #define INF (1LL << 62) #define mp(a, b) make_pair(a, b) #define SORT(V) sort(V.begin(), V.end()) #define PI (3.141592653589794) #define TO_STRING(VariableName) #VariableName #define LOG1(x) \ if (DEBUG) \ cout << TO_STRING(x) << "=" << x << " " << endl; #define LOG2(x, y) \ if (DEBUG) \ cout << TO_STRING(x) << "=" << x << " " << TO_STRING(y) << "=" << y << endl; #define LOG3(x, y, z) \ if (DEBUG) \ cout << TO_STRING(x) << "=" << x << " " << TO_STRING(y) << "=" << y << " " \ << TO_STRING(z) << "=" << z << endl; #define LOG4(w, x, y, z) \ if (DEBUG) \ cout << TO_STRING(w) << "=" << w << " " << TO_STRING(x) << "=" << x << " " \ << TO_STRING(y) << "=" << y << " " << TO_STRING(z) << "=" << z \ << endl; #define LOG5(w, x, y, z, a) \ if (DEBUG) \ cout << TO_STRING(w) << "=" << w << " " << TO_STRING(x) << "=" << x << " " \ << TO_STRING(y) << "=" << y << " " << TO_STRING(z) << "=" << z << " " \ << TO_STRING(a) << "=" << a << endl; #define LOG6(w, x, y, z, a, b) \ if (DEBUG) \ cout << TO_STRING(w) << "=" << w << " " << TO_STRING(x) << "=" << x << " " \ << TO_STRING(y) << "=" << y << " " << TO_STRING(z) << "=" << z << " " \ << TO_STRING(a) << "=" << a << " " << TO_STRING(b) << "=" << b \ << endl; #define overload6(a, b, c, d, e, f, g, ...) g #define LOG(...) \ overload6(__VA_ARGS__, LOG6, LOG5, LOG4, LOG3, LOG2, LOG1)(__VA_ARGS__) template bool chmax(T &a, const T &b) { if (a < b) { a = b; return 1; } return 0; } template bool chmin(T &a, const T &b) { if (b < a) { a = b; return 1; } return 0; } mt19937 engine; std::chrono::system_clock::time_point start, endTime; #define DEBUG 0 // https://github.com/drken1215/algorithm/blob/master/MathNumberTheory/pollard_rho.cpp // Miller-Rabin 素数判定法 template T pow_mod(T A, T N, T M) { T res = 1 % M; A %= M; while (N) { if (N & 1) res = (res * A) % M; A = (A * A) % M; N >>= 1; } return res; } bool is_prime(long long N) { if (N <= 1) return false; if (N == 2 || N == 3) return true; if (N % 2 == 0) return false; vector A = {2, 325, 9375, 28178, 450775, 9780504, 1795265022}; long long s = 0, d = N - 1; while (d % 2 == 0) { ++s; d >>= 1; } for (auto a : A) { if (a % N == 0) return true; long long t, x = pow_mod<__int128_t>(a, d, N); if (x != 1) { for (t = 0; t < s; ++t) { if (x == N - 1) break; x = __int128_t(x) * x % N; } if (t == s) return false; } } return true; } // Pollard のロー法 long long gcd(long long A, long long B) { A = abs(A), B = abs(B); if (B == 0) return A; else return gcd(B, A % B); } long long pollard(long long N) { if (N % 2 == 0) return 2; if (is_prime(N)) return N; auto f = [&](long long x) -> long long { return (__int128_t(x) * x + 1) % N; }; long long step = 0; while (true) { ++step; long long x = step, y = f(x); while (true) { long long p = gcd(y - x + N, N); if (p == 0 || p == N) break; if (p != 1) return p; x = f(x); y = f(f(y)); } } } vector prime_factorize(long long N) { if (N == 1) return {}; long long p = pollard(N); if (p == N) return {p}; vector left = prime_factorize(p); vector right = prime_factorize(N / p); left.insert(left.end(), right.begin(), right.end()); sort(left.begin(), left.end()); return left; } void solve() { // write your code here lli num; cin >> num; auto ans = prime_factorize(num); if (ans.size() == 3) { cout << "Yes" << endl; } else { cout << "No" << endl; } } // Generated by 2.13.0 https://github.com/kyuridenamida/atcoder-tools (tips: // You use the default template now. You can remove this line by using your // custom template) int main() { // Failed to predict input format lli N = 1; cin >> N; while (N--) solve(); return 0; }