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 Java (OpenJDK 11.0.6) (judge verdict: Wrong Answer)

import java.util.*;


public class Main {

    public static void main(String[] args) {
        Scanner sc = new Scanner(System.in);
        int x = sc.nextInt();
        int n = sc.nextInt();
        int[] p = new int[n];
        Arrays.setAll(p, i -> sc.nextInt());
        sc.close();
        
        int resa = x;
        for (int i = x; i <= 100; i++) {
            boolean ok = false;
            for (int j = 0; j < n; j++) {
                if (p[j] == i) ok = true;
            }   
            if (ok) continue;
            else {
                resa = i;
                break;
            }
        }
        int resb = x;
        for (int i = x; i >= -100; i--) {
            boolean ok = false;
            for (int j = 0; j < n; j++) {
                if (p[j] == i) ok = true;
            }
            if (ok) continue;
            else {
                resb = i;
                break;
            }
        }

        int res = x;
        if (Math.abs(x-resa) < Math.abs(x-resb)) {
            res = resa;
        } else if (Math.abs(x-resa) >= Math.abs(x-resb)) {
            res = resb;
        }
        System.out.println(res);
        
    }
}