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.
public class Problem {

    public static void main(String[] args) {
        java.util.Scanner input = new java.util.Scanner(System.in);
        int n = input.nextInt();
        int [] angle = new int[n];
        for ( int i = 0 ; i < n ; i++ ){
            angle[i] = input.nextInt();
        }
        int [] sum = new int[361];
        boolean can ;
        for ( int i = 0 , j = 0 ; i <= 360 ; i++)
            sum[j++] = (i-2)*180;
        
        for ( int i = 0 ; i < n ; i++ ){
            can = false;
            for(int j = 3 ; j < sum.length ; j++ )
                if (sum[j]%angle[i] == 0 && j*angle[i] == sum[j]){
                    can = true;
                    break;
                }
            System.out.println((can)? "YES" : "NO");
        }
        
    }
}
