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.util.Scanner;

public class Teste {
	
	public static void main(String args[]) {
		
		//Input values
		Scanner input = new Scanner(System.in);
		int t = input.nextInt();
		int a = 0;
        int aux = 0;
        
		//Logica
        while(t > 0) {
        	a = input.nextInt();
        	aux = Math.round(360/(180 - a));
            if(a == ((aux-2)*180/aux)){
                System.out.println("YES");
            }
            else
                System.out.println("NO");
        	t--;
        }
        input.close();
	}
}
  	 			  	  		 		 	     	  				