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.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;


public class Main {

    public static void main(String[] args) throws IOException {
        int t;
        int a;

        BufferedReader bf = new BufferedReader(new InputStreamReader(System.in));
        t = Integer.parseInt(bf.readLine());
        StringBuffer sb = new StringBuffer("");
        while (t-- > 0) {
            a = Integer.parseInt(bf.readLine());
            if (360 % (180 - a) == 0) {
                sb.append("YES\n");
            } else {
                sb.append("NO\n");
            }
        }
        System.out.print(sb);
    }
}