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 c270A
    {
        private final Scanner sc;
        private static final boolean debug = false;

        static void debug(Object ... objects)
        {
            if(debug)
                System.err.println(Arrays.toString(objects));        
        }

        c270A()
        {
            sc = new Scanner(System.in);
            int n = sc.nextInt();
            for(int i=0;i<n;i++)
            {
                int x = sc.nextInt();
                if(360%(180-x) == 0)
                    System.out.println("YES");
                else
                    System.out.println("NO");


            }
        }

        public static void main(String [] args)
        {
            (new c270A()).solve();
        }

        void solve()
        {
        }
    }
