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.*;
public class Codechef
{
	public static void main (String[] args) throws java.lang.Exception
	{
		Scanner in=new Scanner(System.in);
		int n=in.nextInt();
		for(int i=0;i<n;i++){
		    double angle=in.nextDouble();
		    double s=3;
		    int flag=0;
		    double a=180.0*(s-2)/s;
		    while(a<=angle){
		        if(a==angle){
		            flag=1;
		            System.out.println("YES");
		            break;
		        }
		        else{
		            s++;
		            a=180*(s-2)/s;
		        }
		    }
		    if(flag==0)
		        System.out.println("NO");
		}
	}
}
