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 collections import defaultdict as dfd
n = int(input())
arr = list(map(int, input().split()))
d = dfd(int)
dd = dfd(bool)
for i in arr:
     d[i] += 1
     dd[i] = True
arr = list(d.items())
arr.sort()
##print(arr)

if len(arr)==1:
    print(arr[0][1])
else:
    mx = max(d.values())
    crr = dfd(int)
    brr = dfd(int)
    brr = [arr[0][1]]
    crr[arr[0][0]] = arr[0][1]
    for i in range(1, len(arr)):
        brr.append(brr[-1]+arr[i][1])
        crr[arr[i][0]] = brr[-1]
##    print(brr)
##    print(crr)
    for i in range(len(arr)):
        if dd[arr[i][0]+5]:
            mx = max(mx, crr[arr[i][0]+5]-crr[arr[i][0]]+d[arr[i][0]])
        elif dd[arr[i][0]+4]:
            mx = max(mx, crr[arr[i][0]+4]-crr[arr[i][0]]+d[arr[i][0]])
        elif dd[arr[i][0]+3]:
            mx = max(mx, crr[arr[i][0]+3]-crr[arr[i][0]]+d[arr[i][0]])
        elif dd[arr[i][0]+2]:
            mx = max(mx, crr[arr[i][0]+2]-crr[arr[i][0]]+d[arr[i][0]])
        elif dd[arr[i][0]+1]:
            mx = max(mx, crr[arr[i][0]+1]-crr[arr[i][0]]+d[arr[i][0]])
    print(mx)