#line 1 "Main.cpp" #line 2 "nachia\\math\\floor-of-kth-root.hpp" #include namespace nachia{ namespace internal{ // mod 2^64 constexpr unsigned long long PowerOfULongLong(unsigned long long a, unsigned long long i){ unsigned long long res = 1; while(i){ if(i&1){ res *= a; } i /= 2; a *= a; } return res; } } unsigned long long FloorOfKthRoot(unsigned long long real, unsigned long long k){ using u64 = unsigned long long; assert(k != 0); if(real <= 1) return real; if(k >= 64) return 1; if(k == 1) return real; struct Precalc{ // a^i <= x static constexpr bool lesseq(u64 a, int i, u64 x) { if (a == 0) return true; for(int j=0; j= 1; } unsigned long long BORDER[64]; constexpr Precalc() : BORDER() { for (int idx = 2; idx <= 63; idx++) { u64 l = 0, r = 1ull << 33; while (l + 1 < r) { u64 m = (l + r) / 2; if (lesseq(m, idx, ~0ull)) l = m; else r = m; } BORDER[idx] = r; } }; }; constexpr Precalc precalc; u64 l = 0, r = precalc.BORDER[k]; while (l + 1 < r) { u64 m = (l + r) / 2; if(internal::PowerOfULongLong(m, k) <= real) l = m; else r = m; } return l; } unsigned long long CeilOfKthRoot(unsigned long long real, unsigned long long k){ if(real <= 1) return real; if(k >= 64) return 2; if(k == 1) return real; unsigned long long x = FloorOfKthRoot(real, k); if(internal::PowerOfULongLong(x, k) != real) x++; return x; } } // namespace nachia #line 3 "Main.cpp" #include #include #include #include #include #include using namespace std; using i32 = int32_t; using u32 = uint32_t; using i64 = int64_t; using u64 = uint64_t; #define rep(i,n) for(int i=0; i<(int)(n); i++) using Modint = atcoder::static_modint<998244353>; u64 GCD(u64 a, u64 b){ while(b){ u64 c = a % b; a = b; b = c; } return a; } int main(){ int T; cin >> T; rep(t,T){ int N; cin >> N; vector A; rep(i,N){ u64 a; cin >> a; for(u64& j : A){ u64 g = GCD(j, a); if(g != 1){ a /= g; j /= g; } } if(a != 1) A.push_back(a); rep(j,A.size()) if(A[j] == 1){ swap(A[j], A.back()); A.pop_back(); j--; } } bool ok = true; for(u64 j : A) if(nachia::FloorOfKthRoot(j,2) * nachia::FloorOfKthRoot(j,2) != j) ok = false; cout << (ok ? "Yes" : "No") << '\n'; } return 0; } struct ios_do_not_sync{ ios_do_not_sync(){ std::ios::sync_with_stdio(false); std::cin.tie(nullptr); } } ios_do_not_sync_instance;