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;
long double PI = 3.14159265359, sec_clock = 1e8;
long long n, m, l, r, k, h, i, j, T, ans;
long long a[5005], dp[5005][5005];
int main() {
  cin >> n >> k;
  for (int i = 1; i <= n; i++) {
    cin >> a[i];
  }
  sort(a + 1, a + n + 1);
  for (int i = 1; i <= n; i++) {
    long long l = i, r = n;
    while (l < r) {
      long long w = (l + r) / 2 + (l + r) % 2;
      if (a[w] <= a[i] + 5)
        l = w;
      else
        r = w - 1;
    }
    for (int j = 0; j <= k; j++) {
      dp[i + 1][j] = max(dp[i + 1][j], dp[i][j]);
      dp[l + 1][j + 1] = max(dp[l + 1][j + 1], dp[i][j] + l - i + 1);
    }
  }
  for (int i = 1; i <= n + 1; i++)
    for (int j = 0; j <= k; j++) ans = max(dp[i][j], k);
  cout << ans << "\n";
  return 0;
}