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:
# your code goes here
input()
d=dict()
a=list(map(int,input().split()))
for el in a:
	if el not in d.keys():
		d.setdefault(el, 1)
	else:
		d[el]+=1
maxkol = 0
for el in d.keys():
	kol = 0
	for i in range(-5,1):
		kol+=d.get(el+i,0)
	sum=0
	for i in range(1,6):
		a=d.get(el+i,0)
		a1=d.get(el+i-6,0)
		if (a>(a1+sum)):
			kol+=(a-a1)
		sum+=a1
	maxkol=max(maxkol, kol)
print(maxkol)