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A8964. Fancy Fence

编程题 普及/提高-

题目描述

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 $a$ ?

输入格式

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.

输出格式

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.

输入输出样例

输入 #1
3
30
60
90
输出 #1
NO
YES
YES

说明/提示

In the first test case, it is impossible to build the fence, since there is no regular polygon with angle ![](/uploads/acgo/image/bacaa9a03f1def2d_ca6ac1898215.jpeg).

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