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.
//package Div2_165;

import java.util.Scanner;

public class A_FancyFence {

	/**
	 * 2013/02/02
	 * codeforces #165(Div.2)
	 * A.Fancy Fence
	 * Accpeted
	 */
	static Scanner in = new Scanner(System.in);
	public static void run(){
		int n = in.nextInt();
		while(n-->0){
			int degree = in.nextInt();
			if(360%(180-degree)==0){
				System.out.println("YES");
			}
			else System.out.println("NO");
			
		}
	}
	
	public static void main(String[] args) {
		A_FancyFence.run();
	}

}
