The positive integer a is a divisor of the positive integer b if and only if there exists a positive integer c such that a × c = b . King Astyages thinks a positive integer x is extraordinarily nice if the number of its even divisors is equal to the number of its odd divisors. For example 3 has two positive divisors 3 and 1 , both of which are odd, so 3 is not extraordinarily nice. On the other hand 2 is only divisible by 2 and 1 , so it has one odd and one even divisor. Therefore 2 is extraordinarily nice. Given a positive integer x determine whether it's extraordinarily nice. The input contains only a single integer x ( 1 ≤ x ≤ 10 3 ). Write a single yes or no . Write yes if the number is extraordinarily nice and no otherwise. You don't need to care about capital or small letters. The output is case-insensitive.