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:
""" 
Author: Raj Singh
Date:   7.03.19
"""
from sys import stdin,stdout
#import math#import heapq#import operator
#from collections import OrderedDict,Counter,defaultdict
#def getKey(item):return item[0]#l=sorted(l, key=getKey,reverse=True) 
#l= [[0 for x in range(n)] for y in range(n)]#l = [int(i) for i in str(n)]
def inp():
    return int(stdin.readline())
def minp():
    return map(int,stdin.readline().rstrip().split())
def linp():
    return list(minp())
def main():
    n=inp()
    l=linp()
    #freq=[0]*n
    l.sort(reverse=True)
    m,ini,=0,0
    mm=0
    pos=0
    f=0
    while(True):

        for i in range(ini,n):
            if abs(l[pos]-l[i])<=5:
                m+=1
                if i==n-1:
                    f=1
            else:
                ini=i
                break
        #print(m)
        if m>mm:
            mm=m
        if mm==n:
            break
        m=m-1
        pos+=1
        if f==1:
            break
        
        
    print(mm)
    
   
    
    
    
    
if __name__=="__main__":
    main()