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 Main{
    public static void main(String[]args){
        Scanner sc=new Scanner(System.in);
        HashSet<Integer>hset=new HashSet<>();
        hset.add(60);hset.add(90);hset.add(108);hset.add(120);
        hset.add(135);hset.add(140);hset.add(144);hset.add(150);
        hset.add(156);hset.add(160);hset.add(162);hset.add(165);
        hset.add(168);hset.add(170);hset.add(171);hset.add(172);
        hset.add(174);hset.add(175);hset.add(176);hset.add(177);
        hset.add(178);hset.add(179);
        int T=sc.nextInt();
        for(int t=0;t<T;t++){
            int al=sc.nextInt();
            if(hset.contains(al)){System.out.println("YES");}
            else{System.out.println("NO");}
        }        
    }
}