#line 2 "/Users/noya2/Desktop/Noya2_library/template/template.hpp" using namespace std; #include #line 1 "/Users/noya2/Desktop/Noya2_library/template/inout_old.hpp" namespace noya2 { template ostream &operator<<(ostream &os, const pair &p){ os << p.first << " " << p.second; return os; } template istream &operator>>(istream &is, pair &p){ is >> p.first >> p.second; return is; } template ostream &operator<<(ostream &os, const vector &v){ int s = (int)v.size(); for (int i = 0; i < s; i++) os << (i ? " " : "") << v[i]; return os; } template istream &operator>>(istream &is, vector &v){ for (auto &x : v) is >> x; return is; } void in() {} template void in(T &t, U &...u){ cin >> t; in(u...); } void out() { cout << "\n"; } template void out(const T &t, const U &...u){ cout << t; if (sizeof...(u)) cout << sep; out(u...); } template void out(const vector> &vv){ int s = (int)vv.size(); for (int i = 0; i < s; i++) out(vv[i]); } struct IoSetup { IoSetup(){ cin.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(15); cerr << fixed << setprecision(7); } } iosetup_noya2; } // namespace noya2 #line 1 "/Users/noya2/Desktop/Noya2_library/template/const.hpp" namespace noya2{ const int iinf = 1'000'000'007; const long long linf = 2'000'000'000'000'000'000LL; const long long mod998 = 998244353; const long long mod107 = 1000000007; const long double pi = 3.14159265358979323; const vector dx = {0,1,0,-1,1,1,-1,-1}; const vector dy = {1,0,-1,0,1,-1,-1,1}; const string ALP = "ABCDEFGHIJKLMNOPQRSTUVWXYZ"; const string alp = "abcdefghijklmnopqrstuvwxyz"; const string NUM = "0123456789"; void yes(){ cout << "Yes\n"; } void no(){ cout << "No\n"; } void YES(){ cout << "YES\n"; } void NO(){ cout << "NO\n"; } void yn(bool t){ t ? yes() : no(); } void YN(bool t){ t ? YES() : NO(); } } // namespace noya2 #line 1 "/Users/noya2/Desktop/Noya2_library/template/utils.hpp" namespace noya2{ unsigned long long inner_binary_gcd(unsigned long long a, unsigned long long b){ if (a == 0 || b == 0) return a + b; int n = __builtin_ctzll(a); a >>= n; int m = __builtin_ctzll(b); b >>= m; while (a != b) { int mm = __builtin_ctzll(a - b); bool f = a > b; unsigned long long c = f ? a : b; b = f ? b : a; a = (c - b) >> mm; } return a << min(n, m); } template T gcd_fast(T a, T b){ return static_cast(inner_binary_gcd(abs(a),abs(b))); } long long sqrt_fast(long long n) { if (n <= 0) return 0; long long x = sqrt(n); while ((x + 1) * (x + 1) <= n) x++; while (x * x > n) x--; return x; } template T floor_div(const T n, const T d) { assert(d != 0); return n / d - static_cast((n ^ d) < 0 && n % d != 0); } template T ceil_div(const T n, const T d) { assert(d != 0); return n / d + static_cast((n ^ d) >= 0 && n % d != 0); } template void uniq(vector &v){ sort(v.begin(),v.end()); v.erase(unique(v.begin(),v.end()),v.end()); } template inline bool chmin(T &x, U y) { return (y < x) ? (x = y, true) : false; } template inline bool chmax(T &x, U y) { return (x < y) ? (x = y, true) : false; } template inline bool range(T l, T x, T r){ return l <= x && x < r; } } // namespace noya2 #line 8 "/Users/noya2/Desktop/Noya2_library/template/template.hpp" #define rep(i,n) for (int i = 0; i < (int)(n); i++) #define repp(i,m,n) for (int i = (m); i < (int)(n); i++) #define reb(i,n) for (int i = (int)(n-1); i >= 0; i--) #define all(v) (v).begin(),(v).end() using ll = long long; using ld = long double; using uint = unsigned int; using ull = unsigned long long; using pii = pair; using pll = pair; using pil = pair; using pli = pair; namespace noya2{ /* ~ (. _________ . /) */ } using namespace noya2; #line 2 "c.cpp" #line 2 "/Users/noya2/Desktop/Noya2_library/math/factorize.hpp" #line 6 "/Users/noya2/Desktop/Noya2_library/math/factorize.hpp" #include #line 10 "/Users/noya2/Desktop/Noya2_library/math/factorize.hpp" namespace fast_factorize { /* See : https://judge.yosupo.jp/submission/189742 */ // ---- gcd ---- uint64_t gcd_stein_impl( uint64_t x, uint64_t y ) { if( x == y ) { return x; } const uint64_t a = y - x; const uint64_t b = x - y; const int n = __builtin_ctzll( b ); const uint64_t s = x < y ? a : b; const uint64_t t = x < y ? x : y; return gcd_stein_impl( s >> n, t ); } uint64_t gcd_stein( uint64_t x, uint64_t y ) { if( x == 0 ) { return y; } if( y == 0 ) { return x; } const int n = __builtin_ctzll( x ); const int m = __builtin_ctzll( y ); return gcd_stein_impl( x >> n, y >> m ) << ( n < m ? n : m ); } // ---- is_prime ---- uint64_t mod_pow( uint64_t x, uint64_t y, uint64_t mod ) { uint64_t ret = 1; uint64_t acc = x; for( ; y; y >>= 1 ) { if( y & 1 ) { ret = __uint128_t(ret) * acc % mod; } acc = __uint128_t(acc) * acc % mod; } return ret; } bool miller_rabin( uint64_t n, const std::initializer_list& as ) { return std::all_of( as.begin(), as.end(), [n]( uint64_t a ) { if( n <= a ) { return true; } int e = __builtin_ctzll( n - 1 ); uint64_t z = mod_pow( a, ( n - 1 ) >> e, n ); if( z == 1 || z == n - 1 ) { return true; } while( --e ) { z = __uint128_t(z) * z % n; if( z == 1 ) { return false; } if( z == n - 1 ) { return true; } } return false; }); } bool is_prime( uint64_t n ) { if( n == 2 ) { return true; } if( n % 2 == 0 ) { return false; } if( n < 4759123141 ) { return miller_rabin( n, { 2, 7, 61 } ); } return miller_rabin( n, { 2, 325, 9375, 28178, 450775, 9780504, 1795265022 } ); } // ---- Montgomery ---- class Montgomery { uint64_t mod; uint64_t R; public: Montgomery( uint64_t n ) : mod(n), R(n) { for( size_t i = 0; i < 5; ++i ) { R *= 2 - mod * R; } } uint64_t fma( uint64_t a, uint64_t b, uint64_t c ) const { const __uint128_t d = __uint128_t(a) * b; const uint64_t e = c + mod + ( d >> 64 ); const uint64_t f = uint64_t(d) * R; const uint64_t g = ( __uint128_t(f) * mod ) >> 64; return e - g; } uint64_t mul( uint64_t a, uint64_t b ) const { return fma( a, b, 0 ); } }; // ---- Pollard's rho algorithm ---- uint64_t pollard_rho( uint64_t n ) { if( n % 2 == 0 ) { return 2; } const Montgomery m( n ); constexpr uint64_t C1 = 1; constexpr uint64_t C2 = 2; constexpr uint64_t M = 512; uint64_t Z1 = 1; uint64_t Z2 = 2; retry: uint64_t z1 = Z1; uint64_t z2 = Z2; for( size_t k = M; ; k *= 2 ) { const uint64_t x1 = z1 + n; const uint64_t x2 = z2 + n; for( size_t j = 0; j < k; j += M ) { const uint64_t y1 = z1; const uint64_t y2 = z2; uint64_t q1 = 1; uint64_t q2 = 2; z1 = m.fma( z1, z1, C1 ); z2 = m.fma( z2, z2, C2 ); for( size_t i = 0; i < M; ++i ) { const uint64_t t1 = x1 - z1; const uint64_t t2 = x2 - z2; z1 = m.fma( z1, z1, C1 ); z2 = m.fma( z2, z2, C2 ); q1 = m.mul( q1, t1 ); q2 = m.mul( q2, t2 ); } q1 = m.mul( q1, x1 - z1 ); q2 = m.mul( q2, x2 - z2 ); const uint64_t q3 = m.mul( q1, q2 ); const uint64_t g3 = gcd_stein( n, q3 ); if( g3 == 1 ) { continue; } if( g3 != n ) { return g3; } const uint64_t g1 = gcd_stein( n, q1 ); const uint64_t g2 = gcd_stein( n, q2 ); const uint64_t C = g1 != 1 ? C1 : C2; const uint64_t x = g1 != 1 ? x1 : x2; uint64_t z = g1 != 1 ? y1 : y2; uint64_t g = g1 != 1 ? g1 : g2; if( g == n ) { do { z = m.fma( z, z, C ); g = gcd_stein( n, x - z ); } while( g == 1 ); } if( g != n ) { return g; } Z1 += 2; Z2 += 2; goto retry; } } } void factorize_impl( uint64_t n, std::vector& ret ) { if( n <= 1 ) { return; } if( is_prime( n ) ) { ret.push_back( n ); return; } const uint64_t p = pollard_rho( n ); factorize_impl( p, ret ); factorize_impl( n / p, ret ); } std::vector factorize( uint64_t n ) { std::vector ret; factorize_impl( n, ret ); std::sort( ret.begin(), ret.end() ); return ret; } } // namespace fast_factorize namespace noya2 { std::vector> factorize(long long n){ std::vector> ans; auto ps = fast_factorize::factorize(n); int sz = ps.size(); for (int l = 0, r = 0; l < sz; l = r){ while (r < sz && ps[l] == ps[r]) r++; ans.emplace_back(ps[l], r-l); } return ans; } std::vector divisors(long long n){ auto ps = fast_factorize::factorize(n); int sz = ps.size(); std::vector ans = {1}; for (int l = 0, r = 0; l < sz; l = r){ while (r < sz && ps[l] == ps[r]) r++; int e = r - l; int len = ans.size(); ans.reserve(len*(e+1)); long long mul = ps[l]; while (true){ for (int i = 0; i < len; i++){ ans.emplace_back(ans[i]*mul); } if (--e == 0) break; mul *= ps[l]; } } return ans; } std::vector divisors(const std::vector> &pes){ std::vector ans = {1}; for (auto [p, e] : pes){ int len = ans.size(); ans.reserve(len*(e+1)); long long mul = p; while (true){ for (int i = 0; i < len; i++){ ans.emplace_back(ans[i]*mul); } if (--e == 0) break; mul *= p; } } return ans; } } // namespace noya2 #line 4 "c.cpp" void solve(){ ll n; in(n); int cnt = 0; for (auto [p, e] : factorize(n)){ cnt += e; } yn(cnt == 3); } int main(){ int t = 1; in(t); while (t--) { solve(); } }