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.
# -*- coding: utf-8 -*-
"""
Created on Tue Oct 13 13:49:06 2020

@author: jion
"""

t = int(input())
c = 3
L = []
out = []
while True:
    if (180*(c-2)) % c == 0:
        L.append(((180*(c-2))//c))
    if (((180*(c-2))//c)) == 179:
        break
    c = c+1
for i in range(t):
    a = int(input())
    if a in L:
        out.append('YES')
    else:
        out.append('NO')
for x in out:
    print(x)