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 PYTHON):

Solution:
import sys,math
from collections import defaultdict
from io import BytesIO

sys.stdin = BytesIO(sys.stdin.read())
input = lambda: sys.stdin.readline().rstrip('\r\n')
n = int(input())
#n,k = [int(x) for x in input().split(' ')]
arr = [int(x) for x in input().split(' ')]

d = defaultdict(int)
for el in arr:
    d[el] += 1
ma = 0
for k in sorted(d):
    ma = max(ma,d[k] + d[k+1] + d[k+2] + d[k+3] + d[k+4] + d[k+5])
    #print(ma,k,d[k], d[k+1], d[k+2], d[k+3], d[k+4], d[k+5])
print(ma)