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 sys

n = int(input())
skl_lst = [int(e) for e in input().split()]
skl_lst.sort()
p1 = 0
p2 = 1
cntr = 0
while p2 < len(skl_lst):
    #sys.stderr.write(str(skl_lst)+'\n'+str(p1)+" "+str(p2)+'\n')
    while skl_lst[p2] - skl_lst[p1] > 5:
        if p1 > p2:
            break
        p1+=1
    sys.stderr.write(str(p1)+" "+str(p2)+'\n')
    cntr = max(p2-p1, cntr)
    p2+=1
print(cntr+1)