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:
stu_num = int(input())
stu_pro = input().split(' ')
stu_pro = [ int(x) for x in stu_pro ]
stu_pro.sort()

pro_list = []
num_list = []
pro_temp = stu_pro[0]
num_temp = 0

for i in range(stu_num):
    if(stu_pro[i] == pro_temp):
        num_temp += 1
    else:
        pro_list.append(pro_temp)
        num_list.append(num_temp)
        pro_temp = stu_pro[i]
        num_temp = 1
pro_list.append(pro_temp)
num_list.append(num_temp)

record_num = 0
max_num = 0

for i in range(len(pro_list)):
    for j in range(i , len(pro_list)):
        if (pro_list[j] - pro_list[i] <= 5):
            record_num += num_list[j]
        else: 
            if(record_num > max_num):
                max_num = record_num
            record_num = 0
            break
    if(record_num > max_num):
        max_num = record_num
    record_num = 0
    
print (max_num)