Problem: You are a coach at your local university. There are n students under your supervision, the programming skill of the i-th student is a_i.

You have to create a team for a new programming competition. As you know, the more students some team has the more probable its victory is! So you have to create a team with the maximum number of students. But you also know that a team should be balanced. It means that the programming skill of each pair of students in a created team should differ by no more than 5.

Your task is to report the maximum possible number of students in a balanced team.

Input

The first line of the input contains one integer n (1 ≤ n ≤ 2 ⋅ 10^5) — the number of students.

The second line of the input contains n integers a_1, a_2, ..., a_n (1 ≤ a_i ≤ 10^9), where a_i is a programming skill of the i-th student.

Output

Print one integer — the maximum possible number of students in a balanced team.

Examples

Input


6
1 10 17 12 15 2


Output


3


Input


10
1337 1337 1337 1337 1337 1337 1337 1337 1337 1337


Output


10


Input


6
1 1000 10000 10 100 1000000000


Output


1

Note

In the first example you can create a team with skills [12, 17, 15].

In the second example you can take all students in a team because their programming skills are equal.

In the third example you can create a team consisting of a single student (and you cannot create a team consisting of at least two students).

Solution (in PYTHON3):

Solution:
students = int(input())
skills = list(map(int, input().split()))

if(len(list(set(skills))) == 1):
  print(len(skills))
else:
  skills.sort()
  ini = 0
  fim = students - 1

  i = ini
  j = fim
  maxp1 = 0 
  maximum1 = 0
  maxp2 = 0
  maximum2 =0
  while(i <= students - 1 and j >= 0):
    if(skills[ini] + 5 >= skills[i]):
      maxp1 += 1
      i += 1
      maximum1 = max(maximum1, maxp1)
    else:
      maxp1 -= 1
      ini += 1
    if(skills[fim] - 5 <= skills[j]):
      maxp2 += 1
      j -= 1
      maximum2 = max(maximum2, maxp2)
    else:
      maxp2 -= 1
      fim -= 1
 
  print(max(maximum1, maximum2))