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:

def solve(students):
  students.sort()
  options = {}
  max_students = 0
  for student in students:
    new_options = {}
    if len(options) >= 0:
      to_delete = []
      for limit in options.keys():
        if student <= limit:
          new_options[limit] = options[limit] + 1
        else:
          max_students = max(max_students, options[limit])
      
    if student+5 not in new_options:
      new_options[student+5] = 1
    options = new_options
    
  for quantity in options.values():
    max_students = max(max_students, quantity)
  return max_students

n = int(input())
students = [ int(x) for x in input().split() ]
result = solve(students)
print(result)