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:
from collections import Counter


def input_array(arr, struc):
    return (list(map(struc, arr.split())))


def dictsort(counter, i):
    return sorted(counter.items(), key=lambda item: item[i])


n = int(input())
arr = input_array(input(), int)

counter = Counter(arr)
counter = dictsort(counter, 0)
a = [i for i, j in counter]
b = [j for i, j in counter]

pointer = 0
csum = final = b[0]

for i in range(1, len(a)):
    for j in range(pointer, i):
        if a[i]-5 > a[pointer]:
            pointer += 1
        else:
            break

    csum = sum(b[pointer:i+1])
    if csum > final:
        final = csum

print(final)