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:
#!/usr/bin/env python3
import sys

def rint():
    return map(int, sys.stdin.readline().split())
#lines = stdin.readlines()

n = int(input())

a = list(rint())

a.sort()

aa = [[a[0], 1]]
for i in range(1, n):
    if aa[-1][0] == a[i]:
        aa[-1][1] += 1
    else:
        aa.append([a[i], 1])


ans = 0
for i in range(len(aa)):
    cnt = aa[i][1]
    vs = aa[i][0]
    for j in range(i+1, i+6):
        if j >= len(aa):
            break
        v = aa[j][0]
        if v - vs <=  5:
            cnt += aa[j][1]
        else:
            break
    ans = max(ans, cnt)
print(ans)