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++14 (GCC 5.4.1) (judge verdict: Wrong Answer)

#include <iostream>
#include <cstdio>

using namespace std;

int main(){
    int n, m, x;
    cin >> n >> m >> x;
    int a[100];
    for(int i = 0; i <= n; i++){
        cin >> a[i];
    }
    int b1 = 0, b2 = 0;
    for(int j = 0; j <= x - 1; j++) {
        for(int k = 0; k <= n; k++) {
            if(j == a[k]){
                b1++;
            }
        }
    }
    for(int j = x + 1; j <= n - 1; j++) {
        for(int k = 0; k <= n; k++) {
            if(j == a[k]){
                b2++;
            }
        }
    }
    if(b1 <= b2) {
        cout << b1 << endl;
    } else {
        cout << b2 << endl;
    }
    return 0;
}