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.
D={60: 1, 90: 1, 108: 1, 120: 1, 135: 1, 140: 1, 144: 1, 150: 1, 156: 1, 160: 1, 162: 1, 165: 1, 168: 1, 170: 1, 171: 1, 172: 1, 174: 1, 175: 1, 176: 1, 177: 1, 178: 1, 179: 1}
t=int(input())
while t!=0:
    t-=1
    n=int(input())
    if n in D:
        print("YES")
    else:
        print("NO")
