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.*;
public class Scanner {
	
	BufferedReader br;
	StringTokenizer st;
	Scanner()
	{
		br = new BufferedReader(new InputStreamReader(System.in));
	}
	String next() throws IOException
	{
		while(st == null ||  !st.hasMoreTokens())
			st = new StringTokenizer(br.readLine());
		return st.nextToken();
	}
	int nextInt() throws IOException
	{
		return Integer.parseInt(next());
	}

	public static void main(String[] args) throws IOException {
		
		Scanner sc = new Scanner();
		int t = sc.nextInt();
		while(t-- > 0)
		{
			int n = sc.nextInt();
			if(360%(180-n)==0)System.out.println("YES");
			else System.out.println("NO");
		}
		
	}
}




	





















