3342: Fancy Fence
Time Limit: 2 Sec Memory Limit: 256 MBSubmit: 0 Solved: 0
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Description
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?
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.
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.
3
30
60
90
NO
YES
YES
In the first test case, it is impossible to build the fence, since there is no regular polygon with angle 
.
In the second test case, the fence is a regular triangle, and in the last test case − a square.