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.
#                               #
    # author : samars_diary #
    # 27-09-2020 │ 19:18:15 #
#                               #

import sys, os.path

#if(os.path.exists('input.txt')):
    #sys.stdin = open('input.txt',"r")
    #sys.stdout = open('output.txt',"w")

sys.setrecursionlimit(10 ** 5)

def mod(): return 1000000007
def ii(): return int(sys.stdin.readline())
def si(): return sys.stdin.readline().strip()
def li(): return list(sys.stdin.readline().strip())
def mii(): return map(int, sys.stdin.readline().split())
def lii(): return list(map(int, sys.stdin.readline().strip().split()))

#print=sys.stdout.write

def solve():
    a = ii() ; a = (360)/(180-a)
    if a == int(a): print('YES')
    else: print('NO')

for _ in range(ii()):
    solve()