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.io.*;
import java.util.*;
public class ab{
	public static void main(String args[]){
		Scanner in=new Scanner(System.in);
		int t,n=in.nextInt();
		for(t=0;t<n;t++){
		double i=3;
		double a=in.nextDouble();
		
		while(true){
			if(a*i==(i-2.0)*180.0){
				System.out.println("YES");
				break;
			}
			else if((i-2.0)*180.0/i>a){
				System.out.println("NO");
				break;
			}
			i++;
		}
		
		}
	}
}