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)

x, n = gets.split.map(&:to_i)
pp = gets.split.map(&:to_i)

unless pp.include?(x) || n > 0
  puts x
  exit 0
end

1.upto(n) do |i|
  x_minus = x - i
  x_plus = x + i
  unless pp.include?(x_minus)
    puts x_minus
    exit 0
  end
  unless pp.include?(x_plus)
    puts x_plus
    exit 0
  end
end

x_minus -= x - n
x_plus +=  x + n
unless pp.include?(x_minus)
  puts x_minus
  exit 0
end
unless pp.include?(x_plus)
  puts x_plus
  exit 0
end