#include "bits/stdc++.h" using namespace std; #define int unsigned long long random_device rd; mt19937_64 mt(rd()); int modpro(int x, int n, int md) {//log^2 n int res = 0; for (; n; n >>= 1) { if (n & 1)res =(res+x)%md; x = (x + x) % md; } return res; } int modpow(int x, int n, int md) {//log n int res = 1; for (; n; n >>= 1) { if (n & 1)res = modpro(res, x, md); x = modpro(x, x, md); } return res; } int gcd(int a, int b) { if (!b)return a; return gcd(b, a%b); } bool isprime(int n) { if (n < 2)return false; int m = n - 1; int e = 0; while (!(m & 1)) { m /= 2; e++; } for(int z=0;z<7;z++) { int b = mt() % (n-1)+1; if (gcd(b, n) != 1)return false; bool ok = false; if (modpow(b, m, n) != 1) { for (int k = 0; k < e; k++) { if (modpow(b, m*(1ll << k), n) == n - 1) { ok = true; break; } } } else ok = true; if (!ok) { return false; } } return true; } signed main() { ios::sync_with_stdio(false); cin.tie(nullptr); signed n; cin >> n; int p; for (int i = 0; i < n; i++) { cin >> p; cout << p; if (isprime(p))cout << " 1" << endl; else cout << " 0" << endl; } }