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