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:
# http://codeforces.com/problemset/problem/1133

num_stu = int(raw_input())
skill_list = map(int, raw_input().split(' '))

#num_stu = 6
#skill_list = [1, 1000, 10000, 10, 100, 1000000000]

skill_list.sort()
diff_list = []
for i in range(num_stu-1):
	diff_list.append(skill_list[i+1] - skill_list[i])

ans = 1
ctr = sum_diff = 0
start = 0
for i in range(num_stu-1):
	current_diff = diff_list[i]
	if current_diff > 5:
		ctr = sum_diff = 0
		start = i + 1
		continue
	elif current_diff == 0:
		ctr += 1
	else:
		sum_diff += current_diff
		ctr += 1
		while sum_diff > 5 and ctr:
			sum_diff -= diff_list[start]
			start += 1
			ctr -= 1

	if ctr + 1 > ans:
		ans = ctr + 1
		
print(ans)