#define LOCAL #include using namespace std; #pragma region Macros typedef long long ll; typedef __int128_t i128; typedef unsigned int uint; typedef unsigned long long ull; #define ALL(x) (x).begin(), (x).end() template istream& operator>>(istream& is, vector& v) { for (T& x : v) is >> x; return is; } template ostream& operator<<(ostream& os, const vector& v) { for (size_t i = 0; i < v.size(); i++) { os << v[i] << (i + 1 == v.size() ? "" : " "); } return os; } template ostream& operator<<(ostream& os, const pair& p) { os << '(' << p.first << ',' << p.second << ')'; return os; } template ostream& operator<<(ostream& os, const map& m) { os << '{'; for (auto itr = m.begin(); itr != m.end();) { os << '(' << itr->first << ',' << itr->second << ')'; if (++itr != m.end()) os << ','; } os << '}'; return os; } template ostream& operator<<(ostream& os, const unordered_map& m) { os << '{'; for (auto itr = m.begin(); itr != m.end();) { os << '(' << itr->first << ',' << itr->second << ')'; if (++itr != m.end()) os << ','; } os << '}'; return os; } template ostream& operator<<(ostream& os, const set& s) { os << '{'; for (auto itr = s.begin(); itr != s.end();) { os << *itr; if (++itr != s.end()) os << ','; } os << '}'; return os; } template ostream& operator<<(ostream& os, const multiset& s) { os << '{'; for (auto itr = s.begin(); itr != s.end();) { os << *itr; if (++itr != s.end()) os << ','; } os << '}'; return os; } template ostream& operator<<(ostream& os, const unordered_set& s) { os << '{'; for (auto itr = s.begin(); itr != s.end();) { os << *itr; if (++itr != s.end()) os << ','; } os << '}'; return os; } template ostream& operator<<(ostream& os, const deque& v) { for (size_t i = 0; i < v.size(); i++) { os << v[i] << (i + 1 == v.size() ? "" : " "); } return os; } template ostream& operator<<(ostream& os, const array& v) { for (size_t i = 0; i < N; i++) { os << v[i] << (i + 1 == N ? "" : " "); } return os; } template void print_tuple(ostream&, const T&) {} template void print_tuple(ostream& os, const T& t) { if (i) os << ','; os << get(t); print_tuple(os, t); } template ostream& operator<<(ostream& os, const tuple& t) { os << '{'; print_tuple<0, tuple, Args...>(os, t); return os << '}'; } void debug_out() { cerr << '\n'; } template void debug_out(Head&& head, Tail&&... tail) { cerr << head; if (sizeof...(Tail) > 0) cerr << ", "; debug_out(move(tail)...); } #ifdef LOCAL #define debug(...) \ cerr << " "; \ cerr << #__VA_ARGS__ << " :[" << __LINE__ << ":" << __FUNCTION__ << "]" << '\n'; \ cerr << " "; \ debug_out(__VA_ARGS__) #else #define debug(...) void(0) #endif template T gcd(T x, T y) { return y != 0 ? gcd(y, x % y) : x; } template T lcm(T x, T y) { return x / gcd(x, y) * y; } int topbit(signed t) { return t == 0 ? -1 : 31 - __builtin_clz(t); } int topbit(long long t) { return t == 0 ? -1 : 63 - __builtin_clzll(t); } int botbit(signed a) { return a == 0 ? 32 : __builtin_ctz(a); } int botbit(long long a) { return a == 0 ? 64 : __builtin_ctzll(a); } int popcount(signed t) { return __builtin_popcount(t); } int popcount(long long t) { return __builtin_popcountll(t); } bool ispow2(int i) { return i && (i & -i) == i; } long long MSK(int n) { return (1LL << n) - 1; } template T ceil(T x, T y) { assert(y >= 1); return (x > 0 ? (x + y - 1) / y : x / y); } template T floor(T x, T y) { assert(y >= 1); return (x > 0 ? x / y : (x - y + 1) / y); } template inline bool chmin(T1& a, T2 b) { if (a > b) { a = b; return true; } return false; } template inline bool chmax(T1& a, T2 b) { if (a < b) { a = b; return true; } return false; } template void mkuni(vector& v) { sort(v.begin(), v.end()); v.erase(unique(v.begin(), v.end()), v.end()); } template int lwb(const vector& v, const T& x) { return lower_bound(v.begin(), v.end(), x) - v.begin(); } #pragma endregion namespace fast_factorize { using u64 = uint64_t; mt19937_64 mt(random_device{}()); u64 rng(u64 n) { return uniform_int_distribution(0, n - 1)(mt); } struct montgomery64 { using i64 = int64_t; using u64 = uint64_t; using u128 = __uint128_t; static u64 mod, r, n2; static u64 get_r() { u64 res = mod; for (int _ = 0; _ < 5; _++) res *= 2 - mod * res; return -res; } static void set_mod(u64 m) { assert(m < (1ULL << 62)); assert((m & 1) == 1); mod = m; n2 = -u128(m) % m; r = get_r(); assert(r * mod == -1ULL); } static u64 get_mod() { return mod; } static u64 reduce(const u128& x) noexcept { return (x + u128(u64(x) * r) * mod) >> 64; } u64 v; montgomery64() : v(0) {} montgomery64(const i64& v) : v(reduce((u128(v) + mod) * n2)) {} u64 value() const { u64 res = reduce(v); return res >= mod ? res - mod : res; } montgomery64& operator+=(const montgomery64& rhs) { if (i64(v += rhs.v - (mod << 1)) < 0) v += mod << 1; return *this; } montgomery64& operator-=(const montgomery64& rhs) { if (i64(v -= rhs.v) < 0) v += mod << 1; return *this; } montgomery64& operator*=(const montgomery64& rhs) { v = reduce(u128(v) * rhs.v); return *this; } montgomery64 operator+(const montgomery64& rhs) const { return montgomery64(*this) += rhs; } montgomery64 operator-(const montgomery64& rhs) const { return montgomery64(*this) -= rhs; } montgomery64 operator*(const montgomery64& rhs) const { return montgomery64(*this) *= rhs; } bool operator==(const montgomery64& rhs) const { return (v >= mod ? v - mod : v) == (rhs.v >= mod ? rhs.v - mod : rhs.v); } bool operator!=(const montgomery64& rhs) const { return (v >= mod ? v - mod : v) != (rhs.v >= mod ? rhs.v - mod : rhs.v); } montgomery64 pow(u64 n) const { montgomery64 self(*this), res(1); while (n > 0) { if (n & 1) res *= self; self *= self; n >>= 1; } return res; } friend istream& operator>>(istream& s, montgomery64& rhs) { i64 v; rhs = montgomery64{(s >> v, v)}; return s; } friend ostream& operator<<(ostream& s, const montgomery64& rhs) { return s << rhs.v; } }; typename montgomery64::u64 montgomery64::mod, montgomery64::r, montgomery64::n2; bool miller_rabin(const u64& n, const vector& as) { if (montgomery64::get_mod() != n) montgomery64::set_mod(n); const u64 d = (n - 1) >> __builtin_ctzll(n - 1); const montgomery64 one(1), minus_one(n - 1); for (u64 a : as) { if (n <= a) break; u64 t = d; montgomery64 y = montgomery64(a).pow(t); while (t != n - 1 && y != one && y != minus_one) { y *= y; t <<= 1; } if (y != minus_one && t % 2 == 0) return false; } return true; } bool is_prime(const u64& n) { if (n == 2 || n == 3 || n == 5 || n == 7) return true; if (n % 2 == 0 || n % 3 == 0 || n % 5 == 0 || n % 7 == 0) return false; if (n < 121) return n > 1; if (n < (1ULL << 32)) return miller_rabin(n, {2, 7, 61}); return miller_rabin(n, {2, 325, 9375, 28178, 450775, 9780504, 1795265022}); } u64 pollard_rho(const u64& n) { if (~n & 1) return 2; if (is_prime(n)) return n; if (montgomery64::get_mod() != n) montgomery64::set_mod(n); montgomery64 R, one(1); auto f = [&](const montgomery64& x) { return x * x + R; }; constexpr int m = 128; while (1) { montgomery64 x, y, ys, q = one; R = rng(n - 2) + 2, y = rng(n - 2) + 2; u64 g = 1; for (int r = 1; g == 1; r <<= 1) { x = y; for (int i = 0; i < r; i++) y = f(y); for (int k = 0; g == 1 && k < r; k += m) { ys = y; for (int i = 0; i < min(m, r - k); i++) q *= x - (y = f(y)); g = gcd(q.value(), n); } } if (g == n) { do g = gcd((x - (ys = f(ys))).value(), n); while (g == 1); } if (g != n) return g; } cerr << "failed" << '\n'; assert(false); return -1; } vector inner_factorize(u64 n) { if (n <= 1) return {}; u64 p = pollard_rho(n); if (p == n) return {p}; auto l = inner_factorize(p); auto r = inner_factorize(n / p); copy(r.begin(), r.end(), back_inserter(l)); return l; } vector factorize(u64 n) { auto res = inner_factorize(n); sort(res.begin(), res.end()); return res; } } // namespace fast_factorize const int INF = 1e9; const long long IINF = 1e18; const int dx[4] = {1, 0, -1, 0}, dy[4] = {0, 1, 0, -1}; const char dir[4] = {'D', 'R', 'U', 'L'}; const long long MOD = 1000000007; // const long long MOD = 998244353; void solve() { int N; cin >> N; map mp; for (; N--;) { ll A; cin >> A; auto res = fast_factorize::factorize(A); for (auto& x : res) mp[x]++; } for (auto p : mp) { if (p.second & 1) { cout << "No" << '\n'; return; } } cout << "Yes" << '\n'; } int main() { cin.tie(0); ios::sync_with_stdio(false); int T; cin >> T; for (; T--;) solve(); return 0; }