#define _CRT_SECURE_NO_WARNINGS #define _USE_MATH_DEFINES #include #ifdef _MSC_VER #include #else #pragma GCC target("avx2") #pragma GCC optimize("O3") #pragma GCC optimize("unroll-loops") #endif /* const */ constexpr double PI = 3.141592653589793238462643; /* io */ namespace aux { template struct tp { static void print(std::ostream& os, const T& v) { os << std::get(v) << ", "; tp::print(os, v); } }; template struct tp { static void print(std::ostream& os, const T& v) { os << std::get(v); } }; } template std::ostream& operator<<(std::ostream& os, const std::tuple& t) { os << '['; aux::tp, 0, sizeof...(Ts) - 1>::print(os, t); os << ']'; return os; } template ::value, int> = 0> std::ostream& operator<<(std::ostream& os, T const& a); template std::ostream& operator<<(std::ostream& os, std::pair const& p) { return os << '[' << p.first << ", " << p.second << ']'; } template std::istream& operator>>(std::istream& is, std::pair& p) { return is >> p.first >> p.second; } template ::value, int>> std::ostream& operator<<(std::ostream& os, T const& a) { bool f = true; os << '['; for (auto const& x : a) { os << (f ? "" : ", ") << x; f = false; } os << ']'; return os; } template ::value, int> = 0> std::ostream& operator<<(std::ostream& os, const T(&a)[N]) { bool f = true; os << '['; for (auto const& x : a) { os << (f ? "" : ", ") << x; f = false; } os << ']'; return os; } template ())), class = typename std::enable_if::value>::type> std::istream& operator>>(std::istream& is, T& a) { for (auto& x : a) is >> x; return is; } struct IOSetup { IOSetup(bool f) { if (f) { std::cin.tie(nullptr); std::ios::sync_with_stdio(false); } std::cout << std::fixed << std::setprecision(15); } } iosetup(true); /* format */ template std::string format(const std::string& f, Ts... t) { size_t l = std::snprintf(nullptr, 0, f.c_str(), t...); std::vector b(l + 1); std::snprintf(&b[0], l + 1, f.c_str(), t...); return std::string(&b[0], &b[0] + l); } /* dump */ #define ENABLE_DUMP #ifdef ENABLE_DUMP #define DUMPOUT std::cerr std::ostringstream DUMPBUF; #define dump(...) do{DUMPBUF<<" ";DUMPBUF<<#__VA_ARGS__<<" :[DUMP - "<<__LINE__<<":"<<__FUNCTION__<<"]"< void dump_func(Head&& head, Tail&&... tail) { DUMPBUF << head; if (sizeof...(Tail) == 0) { DUMPBUF << " "; } else { DUMPBUF << ", "; } dump_func(std::move(tail)...); } #else #define dump(...) void(0); #endif /* misc */ struct Timer { double t = 0, paused = 0, tmp; Timer() { reset(); } static double time() { #ifdef _MSC_VER return __rdtsc() / 3.0e9; #else unsigned long long a, d; __asm__ volatile("rdtsc" : "=a"(a), "=d"(d)); return (d << 32 | a) / 3.0e9; #endif } void reset() { t = time(); } void pause() { tmp = time(); } void restart() { paused += time() - tmp; } double elapsedMs() { return (time() - t - paused) * 1000.0; } } timer; struct Xorshift { uint64_t x = 88172645463325252LL; void set_seed(unsigned seed, int rep = 100) { x = (seed + 1) * 10007; for (int i = 0; i < rep; i++) next_int(); } unsigned next_int() { x = x ^ (x << 7); return x = x ^ (x >> 9); } unsigned next_int(unsigned mod) { x = x ^ (x << 7); x = x ^ (x >> 9); return x % mod; } unsigned next_int(unsigned l, unsigned r) { x = x ^ (x << 7); x = x ^ (x >> 9); return x % (r - l + 1) + l; } double next_double() { return double(next_int()) / UINT_MAX; } } rnd; template void shuffle_vector(std::vector& v, Xorshift& rnd) { int n = v.size(); for (int i = n - 1; i >= 1; i--) { int r = rnd.next_int(i); std::swap(v[i], v[r]); } } std::vector split(std::string str, const std::string& delim) { for (char& c : str) if (delim.find(c) != std::string::npos) c = ' '; std::istringstream iss(str); std::vector parsed; std::string buf; while (iss >> buf) parsed.push_back(buf); return parsed; } template auto make_vector(T x, int arg, Args ...args) { if constexpr (sizeof...(args) == 0)return std::vector(arg, x); else return std::vector(arg, make_vector(x, args...)); } template bool chmax(T& a, const T& b) { if (a < b) { a = b; return true; } return false; } template bool chmin(T& a, const T& b) { if (a > b) { a = b; return true; } return false; } using ll = long long; using pii = std::pair; using pll = std::pair; using pdd = std::pair; using namespace std; // 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; } int main() { int T; cin >> T; for (int t = 0; t < T; t++) { int N; cin >> N; vector A(N); cin >> A; set res; for (auto a: A) { auto x = prime_factorize(a); for (auto y: x) { if (res.find(y) == res.end()) { res.insert(y); } else { res.erase(y); } } // dump(x); } // dump(res); if (res.empty()) { cout << "Yes" << endl; } else { cout << "No" << endl; } } }