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.lang.*;
import java.rmi.*;
import java.security.*;
import java.util.*;
import java.math.*;

public class Main {

    static int n, k, a[], f[][], t[];

    public static void main(String[] args) throws IOException {
        n = in.nextInt();
        k = in.nextInt();
        a = new int[n + 10];
        t = new int[n + 10];
        f = new int[n + 10][k + 10];
        for (int i = 1; i <= n; ++i) {
            a[i] = in.nextInt();
        }
        Arrays.sort(a, 1, 1 + n);
        for (int i = 1; i <= n; ++i) {
            for (int j = i; j >= 1; --j) {
                if (a[i] - a[j] <= 5) t[i]++;
                else break;
            }
        }
        int ans = 0;
        for (int i = 1; i <= n; ++i) {
            for (int j = 1; j <= k; ++j) {
                f[i][j] = Math.max(f[i - 1][j], f[i - t[i]][j - 1] + t[i]);
            }
        }
        for (int i = 1; i <= n; ++i) ans = Math.max(ans, f[i][k]);
        out.println(ans);
        out.flush();
    }

    static InputReader in = new InputReader(System.in);
    static PrintWriter out = new PrintWriter(System.out);

    static class InputReader {
        BufferedReader br;

        public InputReader(InputStream stream) {
            br = new BufferedReader(new InputStreamReader(stream));
        }

        public int nextInt() throws IOException {
            int c = br.read();
            while (c <= 32) {
                c = br.read();
            }
            boolean negative = false;
            if (c == '-') {
                negative = true;
                c = br.read();
            }
            int x = 0;
            while (c > 32) {
                x = x * 10 + c - '0';
                c = br.read();
            }
            return negative ? -x : x;
        }

        public long nextLong() throws IOException {
            int c = br.read();
            while (c <= 32) {
                c = br.read();
            }
            boolean negative = false;
            if (c == '-') {
                negative = true;
                c = br.read();
            }
            long x = 0;
            while (c > 32) {
                x = x * 10 + c - '0';
                c = br.read();
            }
            return negative ? -x : x;
        }

        public String next() throws IOException {
            int c = br.read();
            while (c <= 32) {
                c = br.read();
            }
            StringBuilder sb = new StringBuilder();
            while (c > 32) {
                sb.append((char) c);
                c = br.read();
            }
            return sb.toString();
        }

        public double nextDouble() throws IOException {
            return Double.parseDouble(next());
        }
    }
}