套娃 - المسألة

#7969. 套娃

الإحصائيات

This problem is prepared by Elegia .

题目描述

我们定义一个集合的 $\operatorname{mex}$ 是最小的不在 $S$ 中的非负整数。

给定一个序列 $a_1,\dots,a_n$，对于每个 $1\leq k\leq n$，我们按照如下方式定义 $b_k$：

对于 $a$ 的所有长为 $k$ 的子区间，求出这个子区间构成的数集的 $\operatorname{mex}$。
对于求出的所有 $\operatorname{mex}$，求出这个数集自己的 $\operatorname{mex}$，记为 $b_k$。

请你求出序列 $b$。

输入格式

从标准输入读入数据。

第一行输入一个正整数 $n$（$1\leq n\leq 10^5$）。

第二行输入 $n$ 个整数 $a_1,\dots,a_n$（$0\leq a_i\leq n$）。

输出格式

输出到标准输出。

一行输出 $n$ 个整数 $b_1,\dots,b_n$。

样例1输入

6
0 0 0 1 2 3

样例1输出

2 3 4 0 0 0

Discussions

About Discussions

The discussion section is only for posting: Editorials, General Discussions (problem-solving strategies, alternative approaches), and Off-topic conversations.

This is NOT for reporting issues! If you want to report bugs or errors, please use the Issues section below.

Open Discussions 0

No discussions in this category.

Issues

About Issues

If you find any issues with the problem (statement, scoring, time/memory limits, test cases, etc.), you may submit an issue here. A problem moderator will review your issue.

Guidelines:

This is not a place to publish discussions, editorials, or requests to debug your code. Issues are only visible to you and problem moderators.
Do not submit duplicated issues. Submitting multiple issues may cause your account to be banned.
Issues must be filed in English or Chinese only.

Active Issues 0

No issues in this category.

Closed/Resolved Issues 0