#include // #include #include #include using namespace std; // using namespace atcoder; // using mint = modint998244353; // using mint = modint1000000007; using vi = vector; using vvi = vector>; using ll = long long; template using max_heap = priority_queue; template using min_heap = priority_queue, greater<>>; #define rep(i, n) for (int i = 0; i < (int)(n); i++) #define rep2(i, f, n) for (int i = (int) f; i < (int)(n); i++) #define repd(i, n, l) for (int i = (int) n; i >= (int) l; i--) const ll inf = ll(1e9+7); vector< bool > prime_table(int n) { vector< bool > prime(n + 1, true); if(n >= 0) prime[0] = false; if(n >= 1) prime[1] = false; for(int i = 2; i * i <= n; i++) { if(!prime[i]) continue; for(int j = i * i; j <= n; j += i) { prime[j] = false; } } return prime; } vector< int > enumerate_primes(int n) { if(n <= 1) return {}; auto d = prime_table(n); vector< int > primes; primes.reserve(count(begin(d), end(d), true)); for(int i = 0; i < d.size(); i++) { if(d[i]) primes.push_back(i); } return primes; } set< int > create_prime_set( int n){ set ret; if (n <= 1) return ret; auto d = prime_table(n); for (int i = 0; i < d.size(); i++){ if (d[i]) ret.insert(i); } return ret; } int main() { int t; cin >> t; auto st = create_prime_set(3000009); auto primes = enumerate_primes(3000009); rep(_, t){ int n; cin >> n; if (st.count(n)) cout << 'P' << endl; else{ auto it1 = upper_bound(primes.begin(), primes.end(), n); auto it2 = upper_bound(primes.begin(), primes.end(), n/2); int pos = (n-2) - (it1 - it2); if (pos % 2 == 0) cout << 'P' << endl; else cout << 'K' << endl; } } return 0; }