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.*;
import java.io.*;
public class Polygon{
	public static void main(String[] args)throws Exception{
		Scanner sc = new Scanner(System.in);
		int cases;
		boolean l = false;
		double angle1, angle2;
		cases = sc.nextInt();
		for(int i = 0; i < cases; i++){
			angle1 = sc.nextDouble();
			l = false;
			for(double j = 3; j <= 1000; j++){
				angle2 = (1.0-(2.0/j)) * 180.0;
				angle2 = Math.round(angle2 * 100.0) / 100.0;
				//System.out.println(angle2);
				if(angle1 == angle2){
					System.out.println("YES");
					l = true;
					break;
				}
			}
			if(!l){
				System.out.println("NO");
			}
		}
	}
}
