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.
/*
 * To change this template, choose Tools | Templates
 * and open the template in the editor.
 */


import java.util.Scanner;

/**
 *
 * @author DELL
 */
public class FancyFence {
     public static void main(String[] args)  {
        Scanner s = new Scanner(System.in);
        int n = s.nextInt();
        int k;
         for (int i = 0; i < n; i++) {
             k = s.nextInt();
             if(360%(180-k)==0){
                 if(k>59){
                     System.out.println("YES");
                 }else{
                     System.out.println("NO");
                 }
             }else{
                 System.out.println("NO");
             }
         }
        
     }
}
