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.util.*;

public class Exam {

    private static final Scanner INPUT = new Scanner(System.in);
    private static ArrayList<String> ans = new ArrayList<>();

    public static void main(String[] args) {
        int angleNum = INPUT.nextInt();
        int angle = 0;
        float angleValue = 0F;

        for(int i = 0; i < angleNum; ++i) {
            angle = INPUT.nextInt();

            for(int j = 3; angleValue < 180; ++j) {
                angleValue = angleCompute(j);

                if((float)angle == angleValue) {
                    ans.add("YES");
                    break;
                } else {
                    if (angle < 60) {
                        ans.add("NO");
                        break;
                    } else if (angle < angleValue) {
                        ans.add("NO");
                        break;
                    }
                }
            }
        }

        for(String print : ans) {
            System.out.printf("%s\n", print);
        }
    }

    private static float angleCompute(int n) {
        return  (float)180 * (n - 2) / n;
    }
}
