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.Linq;

namespace AtCoder.Abc
{
    class QuestionC
    {
        public static void Main(string[] args)
        {
            var sw = new System.IO.StreamWriter(Console.OpenStandardOutput()) { AutoFlush = false };
            Console.SetOut(sw);

            var sp = Console.ReadLine().Split(' ');
            var x = int.Parse(sp[0]);
            var n = int.Parse(sp[1]);
            int[] p = new int[0];
            if (n > 0)
            {
                sp = Console.ReadLine().Split(' ');
                p = sp.Select(i => int.Parse(i)).ToArray();
            }
            var w = new int[202];
            foreach(var i in p)
            {
                w[i+100] = 1;
            }
            for (var i = 0; i < 101; i++)
            {
                if(w[x+100-i] == 0)
                {
                    Console.WriteLine(x - i);
                    break;
                }
                if(w[x+100+i] == 0)
                {
                    Console.WriteLine(x + i);
                    break;
                }
            }

            Console.Out.Flush();
        }
    }
}