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.io.File;
import java.io.IOException;
import java.io.PrintWriter;
import java.util.Arrays;
import java.util.Locale;
import java.util.Scanner;

/**
 * Created by jedi
 */

public class Main {

    private void run() {
        int n = in.nextInt();
        Integer[] a = new Integer[n];

        for (int i = 0; i < n; i++) {
             a[i] = in.nextInt();
        }

        Arrays.sort(a);
        int ans = 0;

        for (int i = 0, j =0; i < n; i++) {

            while (j < n && a[j] - a[i] <6){
                j++;
            }
            if ((j-i) > ans) ans = (j-i);
        }

        out.println(ans);
    }

    public static void main(String[] args) throws IOException {
        new Main().prepare();
    }

    private PrintWriter out;
    private Scanner in;

    private void prepare() throws IOException {
        if ("true".equals(System.getProperty("ONLINE_JUDGE"))) {
            in = new Scanner(System.in);
        } else {
            in = new Scanner(new File("src/"+this.getClass().getPackage().getName().replace('.', '/')+"/input.txt"));
        }
        out = new PrintWriter(System.out);
        in.useLocale(new Locale("US"));
        run();
        out.flush();
    }
}