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:
import math
import os
import random
import re
import sys
from collections import defaultdict as dd

n = int(input())
l = [int(i) for i in input().split(" ")]
d = dd(int)
for i in l:
    d[i] += 1
l = list(set(l))
l.sort()
n = len(l)
#print(*l)
ans = 0
cur = 0
i = 0
while(i < n):
    cur = l[i]
    j = i
    tmp = 0
    while(j < n and l[j] - cur <= 5):
        tmp += d[l[j]]
        j+=1
        
    #print(i, j)
    ans = max(ans, tmp)
    i += 1
print(ans)