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 CPP):

Solution:
#include <bits/stdc++.h>
using namespace std;
int main() {
  int n;
  vector<int> skills;
  int ahm;
  scanf("%d", &n);
  for (register int i = 0; i < n; ++i) {
    scanf("%d", &ahm);
    skills.push_back(ahm);
  }
  sort(skills.begin(), skills.end());
  int pql = 0;
  int team = 1;
  int max_team = 0;
  for (register int i = 1; i < n; ++i) {
    if (skills[i] - skills[pql] <= 5) {
      team++;
    } else {
      if (max_team < team) {
        max_team = team;
      }
      while (skills[i] - skills[pql] > 5) {
        pql++;
        team--;
      }
      if (pql == i) {
        team = 1;
      } else {
        i--;
      }
    }
  }
  if (max_team < team) {
    printf("%d\n", team);
  } else {
    printf("%d\n", max_team);
  }
  return 0;
}