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 Ruby (2.7.1) (judge verdict: Wrong Answer)

MAX_N_LENGTH = 100
 
x, nums_length = gets.chomp.split(' ').map{|i| i.to_i}
 
if nums_length == 0
  puts x
  exit
end
 
nums = gets.chomp.split(' ').map{|i| i.to_i}
 
answer = 0
x_abs = MAX_N_LENGTH + 1
(0...x).reverse_each do |i|
  unless nums.include?(i)
    if (x - i).abs < x_abs
      x_abs = (x - i).abs
      answer = i
    end
  end
end
 
((x + 1)..MAX_N_LENGTH).each do |i|
  unless nums.include?(i)
    if (x - i).abs < x_abs
      x_abs = (x - i).abs
      answer = i
    end
  end
end
 
if MAX_N_LENGTH + 1 == x_abs
  puts x
else
  puts answer
end