#include #include struct miller_rabin { using u128 = __uint128_t; using u64 = std::uint_fast64_t; using u32 = std::uint_fast32_t; private : static constexpr std::array arr = {2, 325, 9375, 28178, 450775, 9780504, 1795265022ULL}; void mul (u64 &x, const u64 &mod) { u128 buff = x; buff = (buff * buff) % mod; x = (u64)(buff); } bool test (u64 a, u64 n, u64 d, u32 s) { u64 cur = modpow(a, d, n); if (cur == 1) return false; for (u32 r = 0; r < s; r++) { if (cur == n - 1) return false; mul(cur, n); } return true; } public : miller_rabin () = default; u64 modpow (u64 x, u64 exp, u64 mod) { u128 cur = 1, p = x; while (exp) { if (exp & 1) cur = cur * p % mod; p = p * p % mod; exp >>= 1; } return cur; } template bool operator() (T n) { if (n < 2) return false; if (n == 2) return true; if (not (n & 1)) return false; u64 d = n - 1; u32 s = 0; while (not (d & 1)) { d >>= 1; s++; } for (const u64 &a : arr) { if (n <= a) return true; if (test(a, n, d, s)) return false; } return true; } }; #include int main() { std::ios::sync_with_stdio(false); std::cin.tie(nullptr); int query; miller_rabin isprime; std::cin >> query; while (query--) { long long x; std::cin >> x; std::cout << x << ' ' << isprime(x) << '\n'; } return 0; }