In this problem, your task is to determine if a given number is a prime number or a composite number.

Input

The first line of the input contains an integer T denoting the number of test cases. The description of T test cases follows. Each test case consists of a single line containing a single integer « n » (2 ≤ n ≤ 10⁹).

Output

For each test case, your program should output a single line containing « YES » (without quotes and spaces) if the given integer is prime or « NO » (without quotes and spaces) if the given integer is a composite number.

Example

Input:
6
16
127
256
513
2048
5097

Output:
NO
YES
NO
NO
NO
NO