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:
def sol(n, skills):
    assert n == len(skills)
    skills.sort()
    max_team = 1
    j = 1
    for i in range(n):
        while j < n and abs(skills[i] - skills[j]) <= 5:
            j += 1
        max_team = max(max_team, j - i)
    print(max_team)

def test1():
    n = 6
    skills = [1, 10, 17, 12, 15, 2]
    sol(n, skills)

def test2():
    n = 10

    skills = list(map(int, "1337 1337 1337 1337 1337 1337 1337 1337 1337 1337".split()))
    sol(n, skills)

if __name__ == "__main__":
    n = int(input())
    skills = list(map(int, input().split()))
     # test1()
    sol(n ,skills)
    # test2()