CDRSANJ - CODER FIRST PROBLEM

Coder Sanjay is now ready to put up his first problem in his favorite website SPOJ. As it is his first problem, he wanted it to be easy so that most of them could get an AC.

The problem statement looks like this:

F(x) is a function whose properties are as follows.

  1. F(x) = 0 at x = 0.
  2. F(x) = 1 at x = 1.
  3. F(x) = 2 at x = 2.
  4. F(x) = 0 if x is an odd prime.
  5. F(a*b) = F(a) + F(b), where a, b are two positive integers and sum of a and b is minimum.

Your task is simple. You are to output the value of F(x) for the given input integer x.

Input

The only line of input contains a single integer x (0 < x < 100001).

Output

Output the value of F(x).

Example

Input:
4

Output:
4

Added by:verdu sanjay
Date:2016-03-12
Time limit:1s
Source limit:50000B
Memory limit:1536MB
Cluster: Cube (Intel G860)
Languages:C CSHARP C++ 4.3.2 CPP CPP14 CPP14-CLANG C99 JAVA PYTHON PYPY PYTHON3

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