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, k = map(int, input().split())
a = list(map(int, input().split()))
a.sort()
# print(a)
dp = [[0 for i in range(k + 1)] for i in range(n + 1)]
i, j = 1, 2
prev_max = [0 for i in range(k + 1)]
ans = 0
while i < n + 1:
    while j < n + 1 and a[j - 1] - a[i - 1] <= 5:
        j += 1
    for c in range(k):
        dp[j - 1][c + 1] = max(dp[j - 1][c + 1], prev_max[c] + (j - i))
        ans = max(ans, dp[j - 1][c + 1])
    for c in range(k):
        prev_max[c] = max(prev_max[c], dp[i][c])
    # print(i, j)
    # print(prev_max)
    i = i + 1
# print(dp)
print(ans)