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.BufferedReader;
import java.io.IOException;
import java.io.InputStream;
import java.io.InputStreamReader;
import java.io.PrintWriter;
import java.util.Arrays;
import java.util.Random;
import java.util.StringTokenizer;

public class E {
	public static void main(String[] args) throws IOException {
		FastScanner in= new FastScanner(System.in);
		PrintWriter out= new PrintWriter(System.out);
		
		int n = in.nextInt();
		int k = in.nextInt();
		Integer [] a = new Integer[n];
		for (int i = 0; i < a.length; i++) {
			a[i]= in.nextInt();
		}
		Arrays.sort(a);
		int j =0;
		int [] most = new int[n];
		for (int i = 0; i < a.length; i++) {
			//im actually stupid
			while(a[i] - a[j] > 5) j++;
			most[i] = j;
		}
		
		int [][] dp = new int[k+1][n+1];
		for (int i = 1; i <= k; i++) {
			for (int l = 1; l <= n; l++) {
				dp[i][l] = Math.max(dp[i][l-1], dp[i-1][most[l-1]]+l-most[l-1]);
			}
		}
		
		System.out.println(dp[k][n]);
		
		
	}
	
	static class FastScanner {
		BufferedReader br;
		StringTokenizer st;

		public FastScanner(InputStream in) {
			br = new BufferedReader(new InputStreamReader(in));
			st = new StringTokenizer("");
		}

		public String next() throws IOException {
			if (!st.hasMoreTokens()) {
				st = new StringTokenizer(br.readLine());
				return next();
			}
			return st.nextToken();
		}

		public int nextInt() throws IOException {
			return Integer.parseInt(next());
		}
		public double nextDouble() throws NumberFormatException, IOException {
			return Double.parseDouble(next());
		}
		public long nextLong() throws IOException {
			return Long.parseLong(next());
		}
	}
}