#pragma GCC optimize ("O3") #pragma GCC target ("avx") #include "bits/stdc++.h" // define macro "/D__MAI" using namespace std; typedef long long int ll; #define xprintf(fmt,...) fprintf(stderr,fmt,__VA_ARGS__) #define debugv(v) {printf("L%d %s > ",__LINE__,#v);for(auto e:v){cout< ",__LINE__,#m);for(int x=0;x<(w);x++){cout<<(m)[x]<<" ";}cout<\n",__LINE__,#m);for(int y=0;y<(h);y++){for(int x=0;x<(w);x++){cout<<(m)[y][x]<<" ";}cout< ostream& operator <<(ostream &o, const pair p) { o << "(" << p.first << ":" << p.second << ")"; return o; } template inline size_t argmin(iterator begin, iterator end) { return distance(begin, min_element(begin, end));} template inline size_t argmax(iterator begin, iterator end) { return distance(begin, max_element(begin, end));} template T& maxset(T& to, const T& val) { return to = max(to, val); } template T& minset(T& to, const T& val) { return to = min(to, val); } mt19937_64 randdev(8901016); inline ll rand_range(ll l, ll h) { return uniform_int_distribution(l, h)(randdev); } #ifdef __MAI #define getchar_unlocked getchar #define putchar_unlocked putchar #endif #ifdef __VSCC #define getchar_unlocked _getchar_nolock #define putchar_unlocked _putchar_nolock #endif namespace { #define isvisiblechar(c) (0x21<=(c)&&(c)<=0x7E) class MaiScanner { public: template void input_integer(T& var) { var = 0; T sign = 1; int cc = getchar_unlocked(); for (; cc<'0' || '9'>(int& var) { input_integer(var); return *this; } inline MaiScanner& operator>>(long long& var) { input_integer(var); return *this; } inline MaiScanner& operator>>(string& var) { int cc = getchar_unlocked(); for (; !isvisiblechar(cc); cc = getchar_unlocked()); for (; isvisiblechar(cc); cc = getchar_unlocked()) var.push_back(cc); return *this; } template void in(IT begin, IT end) { for (auto it = begin; it != end; ++it) *this >> *it; } }; class MaiPrinter { int stack_p; char stack[32]; public: template void output_integer(T var) { if (var == 0) { putchar_unlocked('0'); return; } if (var < 0) { putchar_unlocked('-'); var = -var; } stack_p = 0; while (var) { stack[stack_p++] = '0' + (var % 10); var /= 10; } while (stack_p) putchar_unlocked(stack[--stack_p]); } MaiPrinter& operator<<(char c) { putchar_unlocked(c); return *this; } MaiPrinter& operator<<(int var) { output_integer(var); return *this; } MaiPrinter& operator<<(long long var) { output_integer(var); return *this; } MaiPrinter& operator<(int var) { output_integer(var); putchar_unlocked(' '); return *this; } MaiPrinter& operator<(long long var) { output_integer(var); putchar_unlocked(' '); return *this; } MaiPrinter& operator<<(const string& str) { const char* p = str.c_str(); const char* l = p + str.size(); while (p < l) putchar_unlocked(*p++); return *this; } }; } MaiScanner scanner; MaiPrinter printer; template T powm(T x, T p, T mod=1000000007ll){ T y=1; x=x%mod; while (0>= 1; } // d*2**s for (auto t : test) { ll z = powm(t, d, val); if (z == 1 || z == val - 1) continue; for (ll r = 1; r < s; ++r) { z = (ll)((ll128)(z) * z % val); if (z == val - 1) goto l_isprime_mr_ct; } return false; l_isprime_mr_ct:; } return true; } bool isprime(ll val) { if (val <= 1 || val % 2 == 0) return val == 2; for (ll d = 3; d*d <= val; d += 2) if (val % d == 0) return false; return true; } ll m, n, kei; int main() { scanner >> n; repeat(i, n) { ll a; scanner >> a; printer << a << ' ' << isprime_mr(a) << '\n'; } // iterate(v, 1000000000ll, 1000010000ll) { // if (isprime(v) != isprime_mr(v)) // cerr << v << ' ' << isprime(v) << isprime_mr(v) << endl, // abort(); // } return 0; }