Problem:
Score : 200 points

Problem Statement

There are N + 1 squares arranged in a row, numbered 0, 1, ..., N from left to right.

Initially, you are in Square X.
You can freely travel between adjacent squares. Your goal is to reach Square 0 or Square N.
However, for each i = 1, 2, ..., M, there is a toll gate in Square A_i, and traveling to Square A_i incurs a cost of 1.
It is guaranteed that there is no toll gate in Square 0, Square X and Square N.

Find the minimum cost incurred before reaching the goal.

Constraints

1 \leq N \leq 100

1 \leq M \leq 100

1 \leq X \leq N - 1

1 \leq A_1 < A_2 < ... < A_M \leq N

A_i \neq X

All values in input are integers.

Input

Input is given from Standard Input in the following format:

N M X
A_1 A_2 ... A_M

Output

Print the minimum cost incurred before reaching the goal.

Sample Input 1

5 3 3
1 2 4

Sample Output 1

1

The optimal solution is as follows:

First, travel from Square 3 to Square 4. Here, there is a toll gate in Square 4, so the cost of 1 is incurred.

Then, travel from Square 4 to Square 5. This time, no cost is incurred.

Now, we are in Square 5 and we have reached the goal.

In this case, the total cost incurred is 1.

Sample Input 2

7 3 2
4 5 6

Sample Output 2

0

We may be able to reach the goal at no cost.

Sample Input 3

10 7 5
1 2 3 4 6 8 9

Sample Output 3

3

Solution in C# (Mono 4.6.2.0) (judge verdict: Accepted)

using System;

public class Problem_B
{
  public static void Main(string[] args)
  {
    var inputs = Array.ConvertAll(Console.ReadLine().Split(), int.Parse);
    int n = inputs[0], m = inputs[1], x = inputs[2];
    var a = Array.ConvertAll(Console.ReadLine().Split(), int.Parse);

    var min = Math.Min(x, Math.Abs(n - x));
    var cost1 = 0;
    for (var i = x; i < n; i++)
    {
      foreach (var gate in a)
        if (gate == i) cost1++;
    }
    var cost2 = 0;
    for (var i = x; i >= 0; i--)
    {
      foreach (var gate in a)
        if (gate == i) cost2++;
    }
    Console.WriteLine($"{Math.Min(cost1, cost2)}");
  }
}