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.Scanner;

public class FancyFence {
    public static void main(String[] args) {
        Scanner scan = new Scanner(System.in);
        int numGroups = Integer.parseInt(scan.nextLine());
        for (int i = 0; i < numGroups; i++) {
            int angle = scan.nextInt();
            // ((n - 2) * 180) / n
            if (angle < 60) System.out.println("NO");
            else {
                for (int n = 2; n < Double.POSITIVE_INFINITY; n++) {
                    double intAngle = (double) ((n - 2) * 180) / n;
                    if (intAngle == angle) {
                        System.out.println("YES");
                        break;
                    } else if (intAngle  > angle) {
                        System.out.println("NO");
                        break;
                    }
                }
            }
        }
        scan.close();

    }
}
