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=sorted(list(map(int,input().split())))
arr=[]
for i in range(n-1):
    arr.append(a[i+1]-a[i])
_sum = 0
cnt = 0
maxcnt = 0
    
for i in range(n-1): 

    # If adding current element doesn't 
    # Cross limit add it to current window 
    if ((_sum + arr[i]) <= 5): 
        _sum += arr[i] 
        cnt += 1
        
    # Else, remove first element of current 
    # window and add the current element 
    elif(sum != 0): 
        _sum = _sum - arr[i - cnt] + arr[i] 
        
    # keep track of max length. 
    maxcnt = max(cnt, maxcnt) 
print( maxcnt+1)