问题3047--Central Meridian Number

3047: Central Meridian Number

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时间限制 : 1.000 sec  内存限制 : 64 MB

题目描述

A Central Meridian (ACM) Number N is a positive integer satisfies that given two positive integers A and B, and among A, B and N, we have N | ((A^2)*B+1) Then N | (A^2+B) Now, here is a number x, you need to tell me if it is ACM number or not.

输入

The first line there is a number T (0 < T < 5000), denoting the test case number. The following T lines for each line there is a positive number N (0 < N < 5000) you need to judge.

输出

For each case, output “YES” if the given number is Kitty Number, “NO” if it is not.

样例输入 Copy

2
3
7

样例输出 Copy

YES
NO

提示

X | Y means X is a factor of Y, for example 3 | 9; X^2 means X multiplies itself, for example 3^2 = 9; X*Y means X multiplies Y, for example 3*3 = 9