Find Amir

1000ms

262144K

Description:

A few years ago Sajjad left his school and register to another one due to security reasons. Now he wishes to find Amir, one of his schoolmates and good friends.

There are n schools numerated from 1 to n. One can travel between each pair of them, to do so, he needs to buy a ticket. The ticker between schools i and j costs $\text{[math]}$ and can be used multiple times. Help Sajjad to find the minimum cost he needs to pay for tickets to visit all schools. He can start and finish in any school.

Input:

The first line contains a single integer n (1 ≤ n ≤ 10⁵) — the number of schools.

Output:

Print single integer: the minimum cost of tickets needed to visit all schools.

Sample Input:

Sample Output:

Sample Input:

Sample Output:

Note:

In the first example we can buy a ticket between the schools that costs $\text{[math]}$ .

Informação

Provedor Codeforces

Código CF804A