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.*;

public class CF270A {
    static BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
    static PrintWriter pw = new PrintWriter(new BufferedWriter(new OutputStreamWriter(System.out)));

    public static void main(String[] args) throws IOException {
        int tC = Integer.parseInt(br.readLine());
        
        for(int z = 0; z < tC; z++) {
            int angle = Integer.parseInt(br.readLine());
            boolean okay = false;
            
            for(int n = 3; n <= 360; n++) {
                if(360 % n != 0) continue;
                if(angle == 180 - 360/n) {
                    okay = true;
                    break;
                }
            }
            
            if(okay) pw.println("YES");
            else pw.println("NO");
        }
        
        pw.close();
    }
}