#include <bits/stdc++.h>

using namespace std;
int n;
int main()
{
    cin>>n;
    cout<<n/2-(n%2==0);
    return 0;
}

### Prompt

Generate a Cpp solution to the following problem:

How many ways are there to choose two distinct positive integers totaling N, disregarding the order?

Constraints

* 1 \leq N \leq 10^6
* N is an integer.

Input

Input is given from Standard Input in the following format:


N


Output

Print the answer.

Examples

Input

4


Output

1


Input

999999


Output

499999

### Response

```cpp
#include <bits/stdc++.h>

using namespace std;
int n;
int main()
{
    cin>>n;
    cout<<n/2-(n%2==0);
    return 0;
}

```