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 asdf {

	public static void main (String[] args){

	    Scanner sc =new Scanner(System.in);
        int n=sc.nextInt();
        double k=3;
        int i=0;
        boolean f=false;
        while(i<n){
        	int x=sc.nextInt();
        	while(180*(k-2)/k<=x&&f==false){
        		if(180*(k-2)/k==x)
        			f=true;
        		k++;
        	}
        	if(f)
        		System.out.println("YES");
        	else
        		System.out.println("NO");
        	k=3;
        	f=false;
        	i++;
        }
   }
}