A number is considered prime if it’s divisible by only 2 numbers: 1 and itself.

So, numbers like 3, 7, or 19 are prime (3 is only divisible by 1 and 3, 7 is only divisible by 1 and 7, and 19 is similarly divisible by only 1 and 19). While the numbers 4, 6, 8, or 49 are not prime as they are divisible by other numbers as well (4 is also divisible by 2, 6 is also divisible by 2 and 3, and 49 is also divisible by 7).

Is 1 a prime number?

No - 1 is divisible by only 1. For a number to be prime, it has to be divisible by exactly 2 numbers. So, the smallest prime number is 2.

You are asked to write a program that given a positive integer n would decide if it’s a prime number.

Input

The first line of the input contains a single integer n (1 ≤ n ≤ ).

Output

The program should print Yes in case n is prime and No otherwise.