#P1133C. Balanced Team
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ID: 4665
Type: RemoteJudge
2000ms
256MiB
Tried: 0
Accepted: 0
Difficulty: (None)
Uploaded By:
Hydro
Tags> Balanced Team
No submission language available for this problem.
Description
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.
Input
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.
Output
Print one integer — the maximum possible number of students in a balanced team.
Samples
6
1 10 17 12 15 2
3
10
1337 1337 1337 1337 1337 1337 1337 1337 1337 1337
10
6
1 1000 10000 10 100 1000000000
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).