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.*;
import java.math.*;
import static java.lang.System.out;

public class CF270A
{
    public static void main(String[] args) throws IOException
    {
        //BufferedReader f = new BufferedReader(new FileReader("/Users/spencersharp/Desktop/input.txt"));
        
        BufferedReader f = new BufferedReader(new InputStreamReader(System.in));
        PrintWriter writer = new PrintWriter(new BufferedOutputStream(System.out));
        
        String output = ""; //Write all output to this string

        //Code here
        int numLoops = Integer.parseInt(f.readLine());
        for(int i = 0; i < numLoops; i++)
        {
            int inpNum = Integer.parseInt(f.readLine());
            double result = (-360.0)/(inpNum-180.0);
            out.println(result%1==0?"YES":"NO");
        }
        
        
        
        //Code here

        //out.println(output);
        
        //writer.println(output);
        writer.close();
        System.exit(0);
        
    }
}
