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EIUPH006 - Prime divisor

Given an integer n, find the number of prime factors of n.

Input

The only integer N  (N<=4*10^5).

Output

The number of prime factors

Example

Input:
15

Output:
2
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Added by:Ha Minh Ngoc
Date:2015-01-28
Time limit:1s
Source limit:50000B
Memory limit:1536MB
Cluster: Cube (Intel G860)
Languages:CSHARP C++ 4.3.2 CPP CPP14 JAVA
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