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.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;


public class C270A {

	/**
	 * @param args
	 */
	public static void main(String[] args) {
    	BufferedReader reader =new BufferedReader(
    			new InputStreamReader(System.in)); // STDIN
    	
    	try {

    		Integer nTestCases=Integer.valueOf(reader.readLine().trim());
    		for(int n=0;n!=nTestCases;n++){
    			Integer m=Integer.valueOf(reader.readLine().trim());
    			System.out.println(((360%(180-m))==0)?"YES":"NO");
    		}
			
			reader.close();
						
		} catch (IOException e) {
			
			e.printStackTrace();
		} 

	}

}
