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.
def isPowerOfTwo (x):
    return (x and (not(x & (x - 1))) )
def ncr(e):
    return e*(e-1)//2
lst=[]
for i in range(3,200):
    x=(i-2)*180//i
    lst.append(x)  
# print(lst)
t=int(input())
for i in range(t):
    n=int(input())
    # s=input()
    # print(len(s))
    
    # a,b,k=map(int,input().split())
    # l1=list(map(int,input().split()))
    if 360%(180-n)==0:
        print("YES")
    else:
        print("NO")