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 FancyFence {
    public static void main(String[] Args){
        Scanner sc = new Scanner(System.in);
        int t = sc.nextInt();
        HashSet<Integer> hs = new HashSet<Integer>();
        for(int k =3;(k*180-360)<=179*k;k++)
            if((k*180-360)%k==0)
                hs.add((k*180-360)/k);
        while(t-->0)
            System.out.println(hs.contains(sc.nextInt())?"YES":"NO");
    }
}
