Emuskald needs a fence around his farm, but he is too lazy to build it himself. So he purchased a fence-building robot.

He wants the fence to be a regular polygon. The robot builds the fence along a single path, but it can only make fence corners at a single angle a.

Will the robot be able to build the fence Emuskald wants? In other words, is there a regular polygon which angles are equal to a?

Input

The first line of input contains an integer t (0 < t < 180) — the number of tests. Each of the following t lines contains a single integer a (0 < a < 180) — the angle the robot can make corners at measured in degrees.

Output

For each test, output on a single line "YES" (without quotes), if the robot can build a fence Emuskald wants, and "NO" (without quotes), if it is impossible.

Examples

Input

3
30
60
90


Output

NO
YES
YES

Note

In the first test case, it is impossible to build the fence, since there is no regular polygon with angle <image>.

In the second test case, the fence is a regular triangle, and in the last test case — a square.
import java.io.PrintWriter;
import java.util.Scanner;

public class Main {
	public static void main(String[] s) {
		Scanner in = new Scanner(System.in);
		PrintWriter writer = new PrintWriter(System.out);

		TaskA solution = new TaskA();
		solution.solve(in,writer);

		writer.close();
		in.close();


	}

}

class TaskA {

	public void solve(Scanner in, PrintWriter out) {
		int tests = Integer.parseInt(in.nextLine());
		int[] angles = new int[tests];

		for (int i=0;i<tests;i++) {
			angles[i] = Integer.parseInt(in.nextLine());
		}


		for (int i=0;i<tests;i++) {
			if (360%(180-angles[i])==0) {
				out.println("YES");
			} else {
				out.println("NO");
			}
		}
	}


}

