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# (.NET Core 3.1.201) (judge verdict: Accepted)

using System;
using System.Collections;
using System.Collections.Generic;
using System.Linq;

namespace Contest
{
    

    class Program
    {

        static void Main(string[] args)
        {

            var input = Console.ReadLine().Split();
            var x = int.Parse(input[0]);
            var n = int.Parse(input[1]);
            input = Console.ReadLine().Split();
            
            if(n == 0)
            {
                Console.WriteLine(x);
                return;
            }

            var nums = input.Select(x => int.Parse(x)).ToList() ;

            int[] ans = { x, x };
            while (true)
            {
                if(!(nums.Contains(ans[0])))
                {
                    Console.WriteLine(ans[0]);
                    return;
                }

                if (!(nums.Contains(ans[1])))
                {
                    Console.WriteLine(ans[1]);
                    return;
                }

                ans[0]--;
                ans[1]++;
                

            }

        }
    }
}