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.*;
import java.io.*;


public class FancyFence {

    public static void main(String[] args) {
        Scanner sc = new Scanner(System.in);
        int t = sc.nextInt();
        Float[] m = new Float[400];
        Arrays.fill(m,0f);
        m[3]=60f;
        m[4]=90f;
        for (int j=5;j<400;j++){
            m[j] = (j-2)*180f/j;
        }
        //System.out.println(Arrays.deepToString(m));
        Arrays.sort(m);

        for (int i=0;i<t;i++){
            float a = sc.nextFloat();
            String s = "NO";
            if (a>=60) {
                if (Arrays.binarySearch(m,a)>-1)s="YES";
            }
            System.out.println(s);
        }
    }
}