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() {
  ios_base::sync_with_stdio(0);
  cin.tie(NULL);
  long long int n;
  cin >> n;
  long long int a[n];
  map<long long int, long long int> mapper;
  for (long long int i = 0; i < n; i++) {
    cin >> a[i];
    mapper[a[i]]++;
  }
  vector<long long int> vect;
  for (auto itr : mapper) vect.push_back(itr.first);
  sort(a, a + n);
  long long int answer = 0;
  for (long long int i = 0; i < vect.size(); i++) {
    long long int s = mapper[vect[i]];
    long long int count = 0;
    for (long long int j = i + 1; j < vect.size() && count < 5; j++) {
      if (vect[j] - vect[i] <= 5) {
        s += mapper[vect[j]];
      } else
        break;
      count++;
    }
    answer = max(answer, s);
  }
  cout << answer;
  int dont_hack_please;
}