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:
n = int(input())
arr = sorted(map(int, input().split()))
freq = {}
for x in arr:
    freq[x] = freq.get(x, 0)+1
arr = sorted(freq.keys())

j = 0
curr = 0
while j < len(arr) and abs(arr[j]-arr[0] <= 5):
    curr += freq[arr[j]]
    j += 1

i = 1
ans = curr
while i < len(arr):
    curr -= freq[arr[i-1]]
    while j < len(arr) and abs(arr[j]-arr[i] <= 5):
        curr += freq[arr[j]]
        j += 1
    ans = max(ans, curr)
    i += 1
print(ans)