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())
l=list(map(int,input().split()))
l.sort()
li=[]
cou=0
j=0
mx=-1
cu=0
for i in l:
    li.append(i)
    cou+=1
    if(i-li[j]<=5):
        cu+=1
        #print(i)
    else:
        if(mx<cu):
            mx=cu
        cu=0
        for k in range(j,cou):
            #print(j,cou)
            #print(i,li[k],mx)
            if(i-li[k]<=5):
                j=k
                #print(k)
                cu=len(li)-k
                break
if(mx<cu):
    mx=cu
print(mx)
                 
'''
cou=1
tm=0
i=0
mx=-1

while i<n:  
    ind=i
    cou=0
    for j in range(i,n):
        if(l[j]-l[ind]<=5):
            cou+=1
        else:
            break
    if(cou>mx):
        mx=cou
    i+=1
print(mx)
'''