Skip to content

270A. Fancy Fence

geometry/implementation/math, 1100, x23265, https://codeforces.com/problemset/problem/270/A

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 img.

In the second test case, the fence is a regular triangle, and in the last test case — a square.

【黄旭,2020年秋】对于 n边形,其内角和为(n-2)*180°,内角为x度,有(n-2)*180=n*x。 则可以得到 n的表达式为 n=360/(180-x),若 n为整数,则可行,反之不可行。

python
for i in range(int(input())):
    x=int(input())
    print(['NO','YES'][360%(180-x)==0])
python
n=int(input())
def check(x):
    if 360%(180-x)==0:
        return"YES"
    else:
        return"NO"

for i in range(n):
    x=int(input())
    print(check(x))