human
What is a the Python code you requested given the following:
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 .

In the second test case, the fence is a regular triangle, and in the last test case — a square.
assistant
#Here is the Python code you requested.

class FancyFence:
    def solve(self,t,arr):
        regangles=[]
        for x in range(3,1000):
            if (((x-2)*180)/(x*1.0)).is_integer():
                regangles.append((((x-2)*180)/x))
        #print regangles
        for y in arr:
            if y in regangles:
                print "YES"
            else:
                print "NO"
if __name__ == "__main__":
    t = int(raw_input())
    arr = []
    try:
        for line in iter(raw_input, ''):
            arr.append(int(line))
    except EOFError:
        5 + 5
    ff = FancyFence()
    ff.solve(t,arr)