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.
n = int(input())
a = []
 
# Сумма углов выпуклого n угольника вычисляется по формуле
# 180 * (n - 2) - где n кол сторон
 
# Пример: Количество сторон правильного n угольника с углом 145
# 360 / 180 - 145 = целое число - существует
# Количество сторон правильного многоугольника не может быть отличным от int
 
 
for i in range(n):
    x = int(input())
    if int(360 / (180 - x)) /  float(360 / (180 - x)) == 1.0:
        a.append('YES')
    else:
        a.append('NO')
 
 
print('\n'.join(a))