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:
n = int(input())

a = list(map(int, input().split()))

m = 1
ans = 1

j = 0
i = 1

a.sort()
#print(a)
while i < n:
	#print(a[i], a[j], a[i] - a[j], "i=", i, "ans=", ans,"j=", j,"m=", m)
	if a[i] - a[j] < 6:
		ans += 1
		i += 1
	else:
		ans -= 1
		j += 1
	m = max(m, ans)



'''if ans > m:
	m = ans
if max(a) == min(a):
	m = len(a)
if m == 0:
	m = 1'''

print(m)