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.
# import sys
# sys.stdin = open("a.in", 'rb')

class Polygon(object):
  def __init__(self, n):
    self.n = n
    self.totalDegree = (n - 2) * 180
    self.centerDegree = int(360 / self.n)
    self.cornerDegree = int(self.totalDegree / n)
    self.hasAValidIntegerDegreeCorner = self.cornerDegree + self.centerDegree == 180

  def __repr__(self):
    return "\n\"{0}|{1}|\"".format(self.n, self.cornerDegree, self.centerDegree, self.totalDegree, self.cornerDegree * self.n)


polygons = [Polygon(i) for i in xrange(1, 361)][2:]
perfectPolygons = [p for p in polygons if p.hasAValidIntegerDegreeCorner]
perfectPolygonDegrees = [p.cornerDegree for p in perfectPolygons]

def polyvalid(n):
  return n in perfectPolygonDegrees

if __name__ == '__main__':
  tc = int(input())
  for _ in xrange(tc):
    deg = int(input())
    if polyvalid(deg):
      print("YES")
    else:
      print("NO")