CF270A Fancy Fence
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 $ ?
Input Format
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 Format
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.
Explanation/Hint
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.