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 CF0270A {
	public static void main(String[] args) {
		Scanner in=new Scanner(System.in);
		int t=in.nextInt();
		for(int i=0;i<t;i++)
		{
			double a=in.nextDouble();
			if(ispolygon(a)) System.out.println("YES");
			else System.out.println("NO");
		}	
	}
	public static boolean ispolygon(double a)
	{
		for(int i=3;i<2000;i++)
		{
			if(a==(double)180*(i-2)/i) return true;
		}
		return false;
	}
}