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 Rust (1.42.0) (judge verdict: Wrong Answer)

use proconio::input;

fn main() {
    input! {
        x: i32,
      	n: usize,
      	mut arr: [usize;n]
    };

  	let mut index = 0;
  	let mut min = x;
  	let mut temp_vec: Vec<i32> = Vec::with_capacity(101);
  
  	for i in 0..=101 {
  		temp_vec.push((i - x).abs());
  	}
  
	for i in 0..n {
      	temp_vec[arr[i]] = 201;
  	}
  	
    for i in 0..=100 {
    	if temp_vec[i] < min {
      		index = i;
          	min = temp_vec[i];
      	}
  	}
 	
    println!("{}", index);
}