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:
#inputs
n = int(input())
if(n==0):
    print(0)
    exit()
arr = input().split(' ')
arr = [int(a) for a in arr]

#sort
arr.sort()
max_diff = 5 # given
count,max_count = 1,1
current_elem ,current_index = arr[0],0
#print(arr)
for i in range(len(arr)):
    if i==0:
        continue #0 diff and count 1
        #start from i == 1
    if (arr[i] - current_elem) > max_diff:
        #note down max, remove previous
        max_count = max(max_count,count)
        current_index += 1
        if current_index < n:
            current_elem = arr[current_index]
    else:
        count += 1
    #print(i,arr[i],count,max_count)

max_count = max(max_count,count)
print(max_count)