#include //#include using namespace std; //using namespace atcoder; //using mint = modint1000000007; //const int mod = 1000000007; //using mint = modint998244353; //const int mod = 998244353; //const int INF = 1e9; //const long long LINF = 1e18; #define rep(i, n) for (int i = 0; i < (n); ++i) #define rep2(i,l,r)for(int i=(l);i<(r);++i) #define rrep(i, n) for (int i = (n) - 1; i >= 0; --i) #define rrep2(i,l,r)for(int i=(r) - 1;i>=(l);--i) #define all(x) (x).begin(),(x).end() #define allR(x) (x).rbegin(),(x).rend() #define P pair template inline bool chmax(A & a, const B & b) { if (a < b) { a = b; return true; } return false; } template inline bool chmin(A & a, const B & b) { if (a > b) { a = b; return true; } return false; } std::vector sieveOfEratosthenes(long long n = 1000000) { std::vectorp(n + 1, true); std::vectorret; p[0] = false; p[1] = false; for (int i = 2; i <= n; ++i) { if (!p[i]) continue; ret.push_back(i); for (int j = 2 * i; j <= n; j += i) p[j] = false; } return p; } //long long にしているのは p*pとかでこまらないように int main() { ios::sync_with_stdio(false); cin.tie(nullptr); auto plist = sieveOfEratosthenes(3000006); vectorrui(3000006); rep2(i, 1, 3000006) { if (plist[i])rui[i]++; rui[i] += rui[i - 1]; } int t; cin >> t; while (t--) { int n; cin >> n; // 素数->後手Win // その他 // n-1までの合成数と // n/2までの素数すべてが選択される if (plist[n]) { cout << "P" << endl; continue; } int f = rui[n] - rui[n / 2]; int m = n - f - 2; cout << (0 == m % 2 ? "P" : "K") << endl; } return 0; }