Problem:
Score : 300 points

Problem Statement

Given are an integer X and an integer sequence of length N: p_1, \ldots, p_N.

Among the integers not contained in the sequence p_1, \ldots, p_N (not necessarily positive), find the integer nearest to X, that is, find the integer whose absolute difference with X is the minimum. If there are multiple such integers, report the smallest such integer.

Constraints

1 \leq X \leq 100

0 \leq N \leq 100

1 \leq p_i \leq 100

p_1, \ldots, p_N are all distinct.

All values in input are integers.

Input

Input is given from Standard Input in the following format:

X N
p_1 ... p_N

Output

Print the answer.

Sample Input 1

6 5
4 7 10 6 5

Sample Output 1

8

Among the integers not contained in the sequence 4, 7, 10, 6, 5, the one nearest to 6 is 8.

Sample Input 2

10 5
4 7 10 6 5

Sample Output 2

9

Among the integers not contained in the sequence 4, 7, 10, 6, 5, the ones nearest to 10 are 9 and 11. We should print the smaller one, 9.

Sample Input 3

100 0

Sample Output 3

100

When N = 0, the second line in the input will be empty. Also, as seen here, X itself can be the answer.

Solution in C (GCC 9.2.1) (judge verdict: Wrong Answer)

#include <stdio.h>

int check(int *p,int n,int a){
  int i;
  
  for(i=0;i<n;i++){
    if(a==p[i]){
      return 0;
    }
  }
  return 1;
}

int main(){
  int x,n,i;
  int p[100]={-1};
  int min=10000000,tmp,result;
  
  scanf("%d %d",&x,&n);
  
  for(i=0;i<n;i++){
    scanf("%d",&p[i]);
  }
  
  result=101;
  for(i=-100;i<=100;i++){
    if(check(p,n,i)){
      tmp=(x-i)*(x-i);
      if(tmp<min){
        min=tmp;
        result=i;
      }
    }
  }
  
  printf("%d",result);
}