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.math.*;
import java.text.*;

public class Main {

	Scanner cin = new Scanner(new BufferedInputStream(System.in));
	int t,n;

	void run(){
		t = cin.nextInt();
		while(t --> 0){
			n = cin.nextInt();
			int ans,m;
			m = 180 - n;
			ans = 360 % m;		
			if(ans == 0)			
				System.out.println("YES");
			else
			   	System.out.println("NO");
		}
	}
	public static void main(String[] args) {
		new Main().run();

	}

}

		 			  	 	    			  	  			