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Problems

Hometask

Hometask

Time limit 1 second
Memory limit 128 MiB

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 data

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

Output data

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

Examples

Input example #1
3
Output example #1
NO
Source 2010 ACM NEERC Moscow Subregional, October 24, Problem H