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 sc = new Scanner(System.in);
		int n = sc.nextInt();
	//	int arr [] = new int [n];
		List <Integer> arr = new ArrayList<>();
		for(int i = 0; i < n; i++)
		    arr.add(sc.nextInt());
		   // arr[i] = sc.nextInt();
	    //Arrays.sort(arr);
	      Collections.sort(arr);
	    int i = 0, j = 0;
	    int ans = 0;
	    while(j < n){
	    	   int diff = arr.get(j)- arr.get(i);
	    	   
	    	   if(diff <= 5){
	    	       ans = Math.max(ans, j - i+1);
	    	       j++;
	    	   }
	    	   if (diff > 5){
	    	   	i++;
	    	   	}
	    	}
	     System.out.println(ans);
	}
}