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 problem_1133c():
    nmax = 0
    n = int(input())
    a = input().split(' ')
    for i, _ in enumerate(a):
        a[i] = int(a[i])
    a.sort()
    i, j = 0, 1
    while i < n-1 and j < n:
        if a[j] - a[j-1] > 5:
            if j-1-i > nmax:
                nmax = j-1-i
            i = j
            j += 1
        elif a[j] - a[i] > 5:
            if j-1-i > nmax:
                nmax = j-1-i
            i += 1
            if i == j:
                j += 1
        else:
            j += 1
    if j - 1 - i > nmax:
        nmax = j - 1 - i
    print(nmax + 1)
    return


if __name__ == '__main__':
    problem_1133c()