1
 2
 3
 4
 5
 6
 7
 8
 9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
import java.util.ArrayList;
import java.util.Collections;
import java.util.HashSet;
import java.util.List;
import java.util.Scanner;

public class ilo {

	public static void main(String[] args) {

		Scanner in = new Scanner(System.in);
		int testsCount = in.nextInt();
		List<Integer> numbers = new ArrayList<>();
		List<String> answers = new ArrayList<>(testsCount);
		while (testsCount-- > 0) {
			numbers.add(in.nextInt());
			answers.add("NIE");
		}
		in.close();
		List<Integer> copy = new ArrayList<>(numbers);
		Collections.sort(copy);
		HashSet<Integer> fib = new HashSet<>();
		fib.add(0);
		int lastFib = 0;
		int currentFib = 1;
		int maxIter = copy.get(copy.size() - 1) / 2;
		for (int i = 1; i < maxIter && !copy.isEmpty();) {
			currentFib = i;
			i = lastFib + currentFib;
			lastFib = currentFib;
			fib.add(i);
			List<Integer> toRemove = new ArrayList<>();
			for (Integer n : copy) {
				if (n % i == 0) {
					if (fib.contains(n / i)) {
						answers.set(numbers.indexOf(n), "TAK");
						toRemove.add(n);
					}
				}
			}
			copy.removeAll(toRemove);
			toRemove.clear();
		}
		for (String answer : answers)
			System.out.println(answer);
	}

}