#include <bits/stdc++.h>
#include <atcoder/all>

constexpr int N = 3e6;

std::vector<int> g[N + 1];
int main() {
    std::cin.tie(nullptr)->sync_with_stdio(false);
    for (int i = 2; i * i <= N; ++i) {
        if (!g[i].empty()) continue;
        for (int j = i + i; j <= N; j += i)
            g[j].push_back(i);
    }
    int q; std::cin >> q;
    std::vector<int> queries(q), ord(q), res(q);
    for (auto &x : queries) std::cin >> x;
    std::iota(ord.begin(), ord.end(), 0);
    std::ranges::sort(ord, {}, [&](int i) {return queries[i];});
    int u = 2;
    atcoder::dsu d(N + 1);
    for (auto &i : ord) {
        int n = queries[i];
        while (u <= n) {
            for (auto &v : g[u])
                d.merge(u, v);
            u += 1;
        }
        res[i] = d.size(n) & 1;
    }
    for (auto &x : res)
        std::cout << (x ? "P" : "K") << '\n';
    return 0;
}