Problem:
Score : 300 points

Problem Statement

You are given an integer sequence of length N, a_1,a_2,...,a_N.

For each 1≤i≤N, you have three choices: add 1 to a_i, subtract 1 from a_i or do nothing.

After these operations, you select an integer X and count the number of i such that a_i=X.

Maximize this count by making optimal choices.

Constraints

1≤N≤10^5

0≤a_i<10^5 (1≤i≤N)

a_i is an integer.

Input

The input is given from Standard Input in the following format:

N
a_1 a_2 .. a_N

Output

Print the maximum possible number of i such that a_i=X.

Sample Input 1

7
3 1 4 1 5 9 2

Sample Output 1

4

For example, turn the sequence into 2,2,3,2,6,9,2 and select X=2 to obtain 4, the maximum possible count.

Sample Input 2

10
0 1 2 3 4 5 6 7 8 9

Sample Output 2

3

Sample Input 3

1
99999

Sample Output 3

1

Solution in Ruby (2.3.3) (judge verdict: Time Limit Exceeded)

N = gets.strip.to_i
a = gets.strip.split(' ').map(&:to_i)
l = 0
m = 0
n = 0
numb = []
numbe = []
num = 1
a.each do |c|
  p = c-1
  a.each do |d|
    if (d-p).abs <= 1
      l = l + 1
    end
  end
  q = c
  a.each do |d|
    if (d-q).abs <= 1
      m = m + 1
    end
  end
  r = c+1
  a.each do |d|
    if (d-r).abs <= 1
      n = n + 1
    end
  end
  numb[num-1] = p
  numb[num] = q
  numb[num+1] = r
  numbe[num-1] = l
  numbe[num] = m
  numbe[num+1] = n
  num = num + 3
  l = 0
  m = 0
  n = 0
end
p numbe.max