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.*;
import java.io.*;

public class aaaaaaaaaaaaaaaa {
	public void run() throws Exception {
		FastReader file = new FastReader();
		int times = file.nextInt();
		ArrayList<Long> n = new ArrayList();
		for (int i = 0; i < times; i++) {
			n.add(file.nextLong());
		}
		Collections.sort(n);
		int max = 0;
		for (int i= 0; i < times; i++) {
			long cur = n.get(i);
			int lo = i + 1, hi = times - 1;
			int ind = 0;
			while (lo <= hi) {
				int mid = (lo + hi) / 2;
				if (n.get(mid) <= cur + 5) {
					ind = mid;
					lo = mid + 1;
				}
				else {
					hi = mid - 1;
				}
			}
			max = Math.max(max, ind - i + 1);
		}
		System.out.println(max);
	}

	public static void main(String[] args) throws Exception {
		new aaaaaaaaaaaaaaaa().run();
	}

	static class FastReader {
		BufferedReader br;
		StringTokenizer st;

		public FastReader() {
			br = new BufferedReader(new InputStreamReader(System.in));
		}

		String next() {
			while (st == null || !st.hasMoreElements()) {
				try {
					st = new StringTokenizer(br.readLine());
				} catch (IOException e) {
					e.printStackTrace();
				}
			}
			return st.nextToken();
		}

		int nextInt() {
			return Integer.parseInt(next());
		}

		long nextLong() {
			return Long.parseLong(next());
		}

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

		String nextLine() {
			String str = "";
			try {
				str = br.readLine();
			} catch (IOException e) {
				e.printStackTrace();
			}
			return str;
		}
	}
}