Hometask

Kolya is still trying to pass a test on Numbers Theory. The lecturer is so desperate about Kolya's knowledge that she gives him the same task every time.

The problem is to check if $n!$ is divisible by $n^2$.

Input

One integer $n(1\le n\le 10^9)$.

Output

Print "YES" if $n!$ is divisible by $n^2$, otherwise print "NO".

Examples