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

constexpr int N = 3e6;

int main() {
    std::cin.tie(nullptr)->sync_with_stdio(false);
    int st[N + 1]{};
    for (int i = 2; i * i <= N; ++i) {
        if (st[i]) continue;
        for (int j = i * i; j <= N; j += i)
            st[j] = i;
    }
    atcoder::dsu d(N + 1);
    int res[N + 1]{};
    for (int i = 2; i <= N; ++i) {
        if (st[i]) {
            d.merge(i, st[i]);
            int x = i;
            while (x % st[i] == 0)
                x /= st[i];
            if (x > 1) d.merge(i, x);
        }
        res[i] = d.size(i) & 1;
    }
    int q; std::cin >> q;
    while (q--) {
        int n; std::cin >> n;
        std::cout << (res[n] ? "P" : "K") << '\n';
    }   
    return 0;
}