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:
import sys

strInp = lambda : raw_input().strip().split()
intInp = lambda : list(map(int,strInp()))

n = int(input())
arr = intInp()
arr.sort()
current = 0
init_diff = 1

while current + init_diff < n:
    tmp_count = init_diff
    for j in range(current+init_diff, n, 1):
        if arr[j] - arr[current] <= 5:
            tmp_count += 1 
        else:
            current += 1        
            init_diff = tmp_count 
            break
        if(j == n-1):
            current += n      
            init_diff = tmp_count
            break        
            

print(init_diff)