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Unknown Language Round #2:

- Io-2008-01-07 (Win32)

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C. Extraordinarily Nice Numbers

time limit per test

2 secondsmemory limit per test

256 megabytesinput

standard inputoutput

standard outputThe 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.

Input

The input contains only a single integer *x* (1 ≤ *x* ≤ 10^{3}).

Output

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.

Examples

Input

2

Output

yes

Input

3

Output

no

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