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())
A = list(map(int, input().split()))
z = {}
ans = 0
for i in range(n):
    if A[i] not in z:
        z[A[i]] = 0
    z[A[i]] += 1
for x in z:
    cnt = 0
    cnt += z[x]
    if x + 1 in z:
        cnt += z[x + 1]
    if x + 2 in z:
        cnt += z[x + 2]
    if x + 3 in z:
        cnt += z[x + 3]
    if x + 4 in z:
        cnt += z[x + 4]
    if x + 5 in z:
        cnt += z[x + 5]
    ans = max(ans, cnt)
print(ans)