#include #include using namespace std; using isize = size_t; using i32 = int; using u32 = unsigned int; using i64 = long long; using u64 = unsigned long long; using i128 = __int128_t; using u128 = __uint128_t; using f64 = long double; using p2 = pair; using el = tuple; using mint = atcoder::modint998244353; void _main(); int main() { cin.tie(0); ios::sync_with_stdio(false); cout << fixed << setprecision(18); _main(); } i64 pow(i64 x, i64 n) { i64 res = 1; i64 t = x; while (n > 0) { if (n & 1) { res = res * t; } t = t * t; n >>= 1; } return res; } i64 pow(i64 x, i64 n, i64 m) { i64 res = 1; i64 t = x % m; while (n > 0) { if (n & 1) { res = res * t % m; } t = t * t % m; n >>= 1; } return res; } void _main() { i64 ttt; cin >> ttt; vector isprime(4000000, true); vector p; isprime[0] = isprime[1] = false; for (i64 i = 2; i < isprime.size(); i++) { if (!isprime[i]) continue; p.push_back(i); for (i64 j = i + i; j < isprime.size(); j += i) { isprime[j] = false; } } for (;ttt--;) { i64 n; cin >> n; if (isprime[n]) { cout << "P\n"; continue; } i64 i = upper_bound(p.begin(), p.end(), n / 2) - p.begin() - 1; i64 j = upper_bound(p.begin(), p.end(), n) - p.begin() - 1; i64 sum = n - 2; sum -= j - i; cout << (sum % 2 == 0 ? "P\n" : "K\n"); } }