Time Limit: 1 s
Memory Limit: 64 MB

Submission：11
AC：5
Score：99.71

A Kitty Number N is a positive integer satisfies that given two any positive integers A and B, and among A, B and N, if we have

N | ((A^2)*B+1)

Then

N | (A^2+B)

Now, you are asked to judge a given positive number is Kitty Number or not.

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.

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

input

2
3
7

output

YES
NO

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.