Naruto was always alone as a kid. He used to get bored a lot and always tried different things for fun. Once he got fascinated by isosceles triangles and developed a game. He will choose a integer value S to be length of the equal sides of the isosceles triangle. Now if it is possible that he can form any triangle which has a third side of even length as well a height of integral value with the third side as base then he becomes happy.

Given S determine if Naruto will be happy.

Input

First line contains T, the number of test cases, T <= 10000.

The next T lines each contain a integer value S < 1000000.

Output

For each of T test cases output YES if Naruto will be happy and NO otherwise

Example

Input:
2
5
8

Output:
YES
NO

Explanation:

In 1st case for S=5, the third side can be 6 and height can be 4.

In 2nd case for S=8, no such combination is possible.