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 num = sc.nextInt();
		Long skill[] = new Long[num];
		for(int i = 0; i < num; i ++) {
			skill[i] = sc.nextLong();
		}
		Arrays.sort(skill);
		int max = 0;
		int tmpLast = 0;
		end: for(int i = 0; i < num; i ++) {
			int tmp = Math.max(0, tmpLast - i);
			for(int j = Math.max(i, tmpLast); ; j ++) {
				if(j == num) {
					max = Math.max(max, tmp);
					break end;
				}else if(Math.abs(skill[j] - skill[i]) <= 5) {
					tmp ++;
				}else {
					tmpLast = j;
					break;
				}
			}
			max = Math.max(max, tmp);
		}
		System.out.println(max);
	}
}