A12387. Balanced Team

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.

The first line of the input contains one integer $n$ ( $1 \le n \le 2 \cdot 10^5$ ) — the number of students.

The second line of the input contains $n$ integers $a_1, a_2, \dots, a_n$ ( $1 \le a_i \le 10^9$ ), where $a_i$ is a programming skill of the $i$ -th student.

Print one integer — the maximum possible number of students in a balanced team.

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).