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:
from sys import stdin, stdout
size = int(stdin.readline())
array = map(int, stdin.readline().split())
array.sort()
s, c = array[0], 1
count,unique = list(),list()
for i in xrange(1, size):
    if array[i]==s: c+=1
    else:
        unique.append(s)
        count.append(c)
        s, c = array[i], 1
unique.append(s)
count.append(c)
size = len(unique)
ans = 0
for i in xrange(size):
    temp_ans = count[i]
    for j in xrange(i+1, min(size, i+6)):
        if unique[j]-5<=unique[i]:
            temp_ans+=count[j]
    ans= max(ans, temp_ans)
stdout.write("%d\n"%ans)