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 JAVA):

Solution:
import java.util.*;
 
public class Main {
 
    public static void main(String[] args){
 
        Scanner scanner = new Scanner(System.in);
 
        int n = scanner.nextInt();
        Integer[] array = new Integer[n];
 
        for(int i=0 ; i< n ; i++){
            array[ i] = scanner.nextInt();
        }
 
        Arrays.sort(array);
 
        int j=0;
        int p = 0;
 
        for(int i=0 ; i <n ; i++){
 
            while (j< n && (array[ j] - array[ i] <=5)){
 
                j++ ;
 
                p = Math.max(p , j-i);
 
            }
 
        }
 
        System.out.println(p);
 
    }
 
    }