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())
nums = sorted(map(int,input().split()))
pref = []

if n ==1:
    print("1")
else:
    for i,j in zip(nums[:-1],nums[1:]):
        pref.append(j-i)

    n-=1

    l= 0
    r= 0

    prefix_sum = 0
    maximum = -1

    while r<n:
        while prefix_sum <= 5 and r<n:
            maximum = max(maximum, r+1-l)
            prefix_sum += pref[r]
            r+=1
        if r ==n and prefix_sum <=5:
            maximum = max(maximum, r+1-l)

        while prefix_sum > 5 and l<=r:
            prefix_sum -= pref[l]
            l+=1

    print(maximum)