CF1133C.Balanced Team

普及-

通过率:0%

时间限制:2.00s

内存限制:256MB

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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.

你是一所本地大学的教练。你手下有 nn 名学生,第 ii 名学生的编程能力为 aia_i。

你需要为一场新的编程竞赛组建一支队伍。众所周知,一支队伍的学生人数越多,获胜的可能性就越大!因此,你需要组建一支学生人数最多的队伍。但你也知道,一支队伍应当是“平衡”的:即队伍中任意两名学生的编程能力之差至多为 55。

你的任务是报告一支平衡队伍中可能包含的学生最大人数。

输入格式

The first line of the input contains one integer nn (1≤n≤2⋅1051 \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 (1≤ai≤1091 \le a_i \le 10^9), where aia_i is a programming skill of the ii-th student.

输入的第一行包含一个整数 nn(1≤n≤2⋅1051 \le n \le 2 \cdot 10^5)—— 学生的数量。

输入的第二行包含 nn 个整数 a1,a2,…,ana_1, a_2, \dots, a_n(1≤ai≤1091 \le a_i \le 10^9),其中 aia_i 表示第 ii 个学生的编程能力。

输出格式

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

输出一个整数——平衡团队中学生数量的最大可能值。

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).

在第一个例子中,你可以组建一支技能为 [12,17,15][12, 17, 15] 的队伍。

在第二个例子中,你可以将所有学生都纳入一支队伍,因为他们的编程技能均相等。

在第三个例子中,你可以组建一支仅包含一名学生的队伍(但无法组建一支至少包含两名学生的队伍)。

输入解题思路,AI测评打分。不知道怎么写?

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