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,k=[int(x) for x in input().split()]
a=[int(x) for x in input().split()]
a.sort()
index={}
for i in range(n):
    index[a[i]]=i
dp=[[1]*(k+1) for i in range(n+1)]
for i in range(n+1):
    dp[i][0]=0
for i in range(k+1):
    dp[0][i]=0
for i in range(1,n+1):
    for item in range(5,-1,-1):
            if a[i-1]+item in index:
                counter=index[a[i-1]+item]-i+1
                break
    for j in range(k+1):
        if i>0:
            dp[i][j]=max(dp[i-1][j],dp[i][j])
        
        if j<k:
            dp[i+counter][j+1]=max(dp[i+counter][j+1],dp[i-1][j]+counter+1)
print(dp[n][k])