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 bisect import bisect_right
import sys


def input():
    return sys.stdin.readline().rstrip()


def slv():
    n, k = map(int, input().split())
    a = list(map(int, input().split()))
    a.sort()

    dp = [[0]*(k + 1) for i in range(n + 1)]
    ans = 0
    for ni in range(1, n + 1):
        v = a[ni - 1]
        cnt = bisect_right(a, v - 6)
        for gi in range(1, k + 1):
            dp[ni][gi] = dp[cnt][gi - 1] + (ni - cnt)
            dp[ni][gi] = max(dp[ni][gi], dp[ni][gi - 1], dp[ni - 1][gi])
    ans = max(dp[ni][k] for ni in range(1, n + 1))
    print(ans)
    return


def main():
    t = 1
    for i in range(t):
        slv()
    return


if __name__ == "__main__":
    main()