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.*;
/**
 *
 * @author Dipta Paul
 */
public class JavaApplication1 {

    /* START OF I/O ROUTINE */
    // PrintWriter for faster output
    public static PrintWriter out;
      
    // MyInputReader class for faster input
    public static class MyInputReader {
        BufferedReader br;
        StringTokenizer st;

        public MyInputReader(InputStream stream) {
            br = new BufferedReader(new InputStreamReader(stream), 32768);
        }

        String next() {
            while (st == null || !st.hasMoreElements()) {
                try {
                    st = new StringTokenizer(br.readLine());
                } catch (IOException e) {
                    e.printStackTrace();
                }
            }
            return st.nextToken();
        }

        int nextInt() {
            return Integer.parseInt(next());
        }

        long nextLong() {
            return Long.parseLong(next());
        }

        double nextDouble() {
            return Double.parseDouble(next());
        }

        String nextLine(){
            String str = "";
            try {
               str = br.readLine();
            } catch (IOException e) {
               e.printStackTrace();
            }
            return str;
        }
    } // end of class MyInputReader
    /* END OF I/O ROUTINE */
    
    public static void main(String[] args) {
        MyInputReader in = new MyInputReader(System.in);
        out = new PrintWriter(new BufferedOutputStream(System.out));
        
        int tc, n;
        
        tc = in.nextInt();
        
        for(int i=0; i<tc; i++) {
            n = in.nextInt();
            n = 180 - n;
            if(360 % n == 0) {
                System.out.println("YES");
            }
            else {
                System.out.println("NO");
            }
        }
    }
}
