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 FancyFence
{
    public static void main(String[] args)
    {
        Scanner z=new Scanner(System.in);
        int t=z.nextInt();
        int a[]=new int[t];
        String aa[]=new String[t];
        for(int i=0;i<a.length;i++)
            a[i]=z.nextInt();
        for(int i=0;i<a.length;i++)
        {
            int temp=0;
            boolean flag=false;
            while(temp<=360){
                if(temp==360){
                    flag=true;
                    break;
                }
                temp+=180-a[i];
            }
            if(flag)
                aa[i]="YES";
            else
                aa[i]="NO";
        }
        for(String xx:aa)
            System.out.println(xx);
    }
}
