CF1133C.Balanced Team

普及/提高-

通过率:0%

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题目描述

You are a coach at your local university. There are nn students under your supervision, the programming skill of the ii -th student is aia_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 55 .

Your task is to report the maximum possible number of students in a balanced team.

输入格式

The first line of the input contains one integer nn ( 1n21051 \le n \le 2 \cdot 10^5 ) — the number of students.

The second line of the input contains nn integers a1,a2,,ana_1, a_2, \dots, a_n ( 1ai1091 \le a_i \le 10^9 ), where aia_i is a programming skill of the ii -th student.

输出格式

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

输入输出样例

  • 输入#1

    6
    1 10 17 12 15 2
    

    输出#1

    3
    
  • 输入#2

    10
    1337 1337 1337 1337 1337 1337 1337 1337 1337 1337
    

    输出#2

    10
    
  • 输入#3

    6
    1 1000 10000 10 100 1000000000
    

    输出#3

    1
    

说明/提示

In the first example you can create a team with skills [12,17,15][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).

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