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: Wrong Answer)

using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;
using System.Threading.Tasks;

namespace C
{
    class Program
    {
        static void Main(string[] args)
        {
            string line = Console.ReadLine();
            string[] strs = line.Split(' ');
            int X = int.Parse(strs[0]);
            int N = int.Parse(strs[1]);
            var hash = new HashSet<int>();
            if (N == 0)
            {
                Console.WriteLine(X);
            }
            else
            {
                line = Console.ReadLine();
                strs = line.Split(' ');
                for (int i = 0; i < N; i++)
                {
                    hash.Add(int.Parse(strs[i]));
                }
                for(int i = 0; i < 100; i++)
                {
                    //X - iがあいてる
                    if (X - i > 0 && !hash.Contains(X - i))
                    {
                        Console.WriteLine(X - i);
                        break;
                    }

                    //X + iがあいてる
                    if (X + i < 101 && !hash.Contains(X + i))
                    {
                        Console.WriteLine(X + i);
                        break;
                    }
                }
            }
        }
    }
}