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.
;(function () {

	function pu (n) {
		var u = (n - 2)*180 / n;
		return u % 1 ? false : u;
	}

	var n = +readline();
	var us = [];
	var i, j, u;

	for (i = 0; i < n; i++) {
		u = +readline();
		j = 2;

		while (true) {
			j++;
			if (!us[j]) us[j] = pu(j);

			if (us[j]) {
				if (us[j] == u) {
					print('YES');
					break;
				}

				if (us[j] > u) {
					print('NO');
					break;
				}
			}
		}
	}

}).call(this);