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:
a=int(input())
pa=list(map(int,input().split()))
kam={}
y=0
pa.sort()
sa=0
la=[]
ba=0
x=0
saa=0
for x in range(a):
    if pa[x]-pa[y]<=5:
        sa+=1
    else:
        la.append(sa)
        sa-=1
        y+=1
        while ba==0:
            if pa[x]-pa[y]<=5:
                sa+=1
                break
            else:
                la.append(sa)
                sa-=1
                y+=1
            if y==x:
                sa=1
                break
la.append(sa)
print(max(la))