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.lang.Math;
public class Solution{
	public static void main(String args[])throws IOException
	{
		BufferedReader br=new BufferedReader( new InputStreamReader(System.in));
		int test=Integer.parseInt(br.readLine());
		int ang=0;
		for(int i=0;i<test;i++)
		{
			 ang=Integer.parseInt(br.readLine());
			 double n=360.0/(180-ang);
			 if(Math.ceil(n)==n)
			 {
				 System.out.println("YES");
			 }
			 else
				System.out.println("NO");
		}
	}
}
