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: Time Limit Exceeded)

#include<stdio.h>
signed main(){
  int x,n,p[105];
  scanf("%d %d",&x,&n);
  int i;
  for(i=0;i<n;i++){
  scanf("%d",&p[i]);
  }
  int flog[105]={};
  int ans=0;
  for(i=0;i=n;i++){
    flog[p[i]]=1;
  }
for(i=1;i<=101;i++){
  if(flog[i]==0){
    int ans1,ans2;
    ans1=x-ans;
    ans2=x-i;
    if(ans1<0){
      ans1=ans1*-1;
    }
    if(ans2<0){
      ans2=ans2*-1; 
    }
    if(ans1>ans2){
      ans=i;
    }
  }
}
printf("%d\n",ans);
return(0);
}