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 PYTHON):

Solution:
total = int(raw_input())
skill = list(map(int, raw_input().split()))

skill.sort()

ponteiro_um = 0
ponteiro_dois = 0

dis_global = 0

while ponteiro_dois<len(skill):

  distancia_local = ponteiro_dois - ponteiro_um

  if distancia_local > dis_global:
    dis_global = distancia_local

  if ponteiro_um == ponteiro_dois:
    ponteiro_dois += 1

  elif skill[ponteiro_dois] - skill[ponteiro_um] <= 5:
    ponteiro_dois += 1

  else:
    ponteiro_um += 1

distancia_fora = ponteiro_dois - ponteiro_um

if distancia_fora > dis_global:
  dis_global = distancia_fora

if ponteiro_dois==len(skill) and ponteiro_um==0:
  print len(skill)

else:
  print dis_global