#line 1 "main.cpp" #define PROBLEM "https://yukicoder.me/problems/no/3030" #line 2 "template.hpp" #include using namespace std; #define rep(i, N) for(int i=0;i<(N);i++) #define all(x) (x).begin(),(x).end() #define popcount(x) __builtin_popcount(x) using i128=__int128_t; using ll = long long; using ld = long double; using graph = vector>; using P = pair; constexpr int inf = 1e9; constexpr ll infl = 1e18; constexpr ld eps = 1e-6; const long double pi = acos(-1); constexpr uint64_t MOD = 1e9 + 7; constexpr uint64_t MOD2 = 998244353; constexpr int dx[] = { 1,0,-1,0 }; constexpr int dy[] = { 0,1,0,-1 }; templatestatic constexpr inline void chmax(T&x,T y){if(xstatic constexpr inline void chmin(T&x,T y){if(x>y)x=y;} #line 2 "math/mod_pow.hpp" template U mod_pow(T base, T exp, T mod){ T ans = 1; base %= mod; while (exp > 0) { if (exp & 1) { ans *= base; ans %= mod; } base *= base; base %= mod; exp >>= 1; } return ans; } ///@brief mod pow(バイナリ法) #line 3 "math/miller.hpp" namespace prime { namespace miller{ using i128 = __int128_t; using u128 = __uint128_t; using u64 = __uint64_t; constexpr bool miller_rabin(u64 n,const u64 bases[],int siz) { u64 d = n - 1; u64 q = __builtin_ctz(d); d >>= q; for (int i = 0; i < siz; i++) { u64 a = bases[i]; if (a == n) { return true; } else if (n % a == 0) { return false; } if (mod_pow(a, d, n) != 1) { bool flag = true; for (u64 r = 0; r < q; r++) { u64 pow = mod_pow(a, d * (1ll << r), n); if (pow == n - 1) { flag = false; break; } } if (flag) { return false; } } } return true; } constexpr u64 bases_int[3] = {2, 7, 61}; // intだと、2,7,61で十分 constexpr u64 bases_ll[7] = {2, 325, 9375, 28178, 450775, 9780504, 1795265022}; constexpr bool is_prime(u64 n){ if (n < 2) { return false; } else if (n == 2) { return true; } else if (~n & 1) { return false; } if (n < (1ul << 31)) { return miller_rabin(n, bases_int, 3); } else { return miller_rabin(n, bases_ll, 7); } } }; }; ///@brief fast prime check(MillerRabinの素数判定) #line 4 "main.cpp" int main(){ int n; scanf("%d", &n); for (int i = 0; i < n; i++){ uint64_t xi; scanf("%lld", &xi); printf("%lld ", xi); if (prime::miller::is_prime(xi)) { puts("1"); } else { puts("0"); } } }