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.*;

public class n270A {
    Scanner in;
    PrintWriter out;

    void solve() {
        int n = in.nextInt();
        for (int i = 0; i < n; i++) {
            int a = in.nextInt();
            boolean yes = false;
            for (int j = 3; j < 1000; j++) {
                if(180 *(j - 2) % j == 0 && 180 * (j - 2) / j == a){
                    yes = true;
                }
            }
            if(yes){
                out.println("YES");
            }else{
                out.println("NO");
            }
        }
    }

    void run() {
        in = new Scanner(System.in);
        out = new PrintWriter(System.out);
        try {
            solve();
        } finally {
            out.close();
        }
    }

    public static void main(String[] args) {
        new n270A().run();
    }
}
