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.*;
import java.util.*;

public class Main {
    public static void main(String[] args)throws IOException {
        __SolutionBase begin = new __SolutionBase();
        begin.Solve();
    }
}

class __SolutionBase {

    public void Solve()throws IOException {
        init();
        Solution();
        out.close();
    }

    private void Solution() throws IOException {
        BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
        String st[]=br.readLine().split(" ");
        int n=Integer.parseInt(st[0]);
        Integer input[]=new Integer[n];
        st=br.readLine().split(" ");
        for(int i=0;i<n;i++){
            Integer a=Integer.parseInt(st[i]);
            input[i]=a;
        }
        Arrays.sort(input);
        //debug(input);
        int max=0;
        int idx = 0;
        for(int i=0;i<n;i++){
            while (input[i] - input[idx] > 5)
                idx++;
            max=Math.max(max,i-idx+1);
        }
        out.println(max);

    }

    /**
     * readLong, readDouble and other are similar
     *
     * @return int type from input
     */
    private int readInt() {
        return Integer.parseInt(readString());
    }

    private long readLong() {
        return Long.parseLong(readString());
    }
    /**
     * Tokens are separated by space or endExclusive of line
     *
     * @return non-empty string token from input (or null if there is no any token)
     */
    private String readString() {
        while (!tok.hasMoreTokens()) {
            String nextLine = readLine();
            if (null == nextLine) return null;
            tok = new StringTokenizer(nextLine);
        }

        return tok.nextToken();
    }

    /**
     * @return whole line from input
     */
    private String readLine() {
        try {
            return in.readLine();
        } catch (IOException e) {
            throw new RuntimeException(e);
        }
    }
    private BufferedReader in;
    private PrintWriter out;
    private StringTokenizer tok = new StringTokenizer(" ");

    /**
     * For local testing I use pair 'input.txt'/'output.txt' in the project root
     */
    private void init() {
        try {
            in = new BufferedReader(new FileReader("input.txt"));
            out = new PrintWriter("output.txt");
        } catch (FileNotFoundException e) {
            in = new BufferedReader(new InputStreamReader(System.in));
            out = new PrintWriter(System.out);
        }
    }
}