#include <stdio.h>
#include <bits/stdc++.h>
#include <atcoder/all>
using namespace atcoder;
using mint = modint998244353;
using namespace std;
#define rep(i,n) for (int i = 0; i < (n); ++i)
#define Inf32 1000000001
#define Inf64 1000000000000000001
map<long long,long long> mp;

int get(long long n,long long c){
	if(mp.count(c))return mp[c];
	for(long long i=2;i<c;i++){
		if(gcd(c,i)!=1)continue;
		if(n%i==0)continue;
		if(get(n,i)==0){
			mp[c] = 1;
			return 1;
		}
	}
	mp[c] = 0;
	return 0;
}

int main(){
	/*
	for(long long i=2;i<=100000;i++){
		mp.clear();
		if(get(i,i)==0){
			if(i%12!=6 && i%420!=0)cout<<'a'<<i<<endl;
		}
		else{
			if(i%12==6 || i%420==0)cout<<'b'<<i<<endl;
		}
		
		//if(get(i,i)==0)cout<<i<<endl;
	}
	*/
	/*
	for(long long i=720720;true;i+=720720){
		mp.clear();
		if(get(i,i)==0){
			cout<<i<<endl;
		}
	}
*/
	long long t = 720720;
	//cout<<t<<endl;
	t *= t;
	t *= 17*19*23*29;
	//cout<<t<<endl;
	/*
	cout<<t<<endl;
	cout<<get(t+t/2,t+t/2)<<endl;
	t *= 60060;
	mp.clear();
	cout<<get(t+t/2,t+t/2)<<endl;
	*/
	int _t;
	cin>>_t;
	rep(_,_t){
		long long n;
		cin>>n;
		if(n==2 || n%12==6 || (n%420==0 && n%2520!=0) || n%720720==360360 || n%t==(t/2))cout<<"P"<<endl;
		else cout<<"K"<<endl;
	}
	
	return 0;
}