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.io.*; 
import java.util.*; 
import java.util.Scanner;
import java.util.Arrays;
import java.util.ArrayList;
 
public class Main
{
 
	public static void main(String[] args)
	{
		Scanner in = new Scanner(System.in); 
		int n = in.nextInt();
		for(int i = 0; i<n; i++){
		    int a = in.nextInt();
            if(a == 60 || a == 90 || a == 108 || a == 120 || a == 135 || a == 140 || a == 144 || a == 150 || a == 156 || a == 160 || a == 162 || a == 165 || a == 168 || a == 170 || a == 171 || a == 172 || a > 173){
                System.out.println("YES");
            }
            else{
                System.out.println("NO");
            }
		}
	}
}