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LaTeX\LaTeXLATE X 是一种基于 TeX\TeXTE X 的排版系统，能够方便地生成数学公式。 基础知识 ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ 行内公式与行间公式 行内公式（即穿插在文本中的公式）两侧分别使用一个美元 $ $ 符号定界。 例如 $x \cdot \sin(y)$ 显示为 x⋅sin⁡(y)x \cdot \sin(y)x⋅sin(y)。 行间公式（即独立成行的公式）两侧分别使用 $$ $$（每侧两个美元符号）定界，例如 $$ H_n = \sum_{i = 1}^{n} \frac{1}{i} $$ 显示为： Hn=∑i=1n1iH_n = \sum_{i = 1}^{n} \frac{1}{i} Hn =i=1∑n i1 行内公式的 “大小”（例如分数的大小、巨运算符上下标的位置）会比行间公式小，可以通过 \displaystyle 和 \textstyle 来切换两类模式： 对于行内公式，使用 \displaystyle 的效果： LaTeX 效果 \frac{1}{x} 1x\frac{1}{x}x1 \displaystyle \frac{1}{x} 1x\displaystyle \frac{1}{x}x1 对于行间公式，使用 textstyle 的效果： $$ \textstyle \int \frac{\mathop{}\!\mathrm{d} x}{x} = \ln(x) + C $$ 显示为： ∫ ⁣dxx=ln⁡(x)+C\textstyle \int \frac{\mathop{}\!\mathrm{d} x}{x} = \ln(x) + C ∫xdx =ln(x)+C LATEX 控制序列的概念（类似于函数） 控制序列可以视作为命令：以 \ 开头，参数：必需参数 {} 和可选参数 []。 控制序列可以实现特定功能，例如 \sin x 显示为 sin⁡x\sin xsinx、\color{red} x 显示为 x\color{red} xx。 LATEX 环境的概念 环境的格式为 \begin{环境名} 环境内部 \end{环境名}，即 \begin 和 \end 以及它们中间的部分。 环境有比控制序列更加灵活的用法，例如 \begin{bmatrix} 1 & 2 \\ 3 & 4 \end{bmatrix} 显示为： [1234]\begin{bmatrix} 1 & 2 \\ 3 & 4 \end{bmatrix}[13 24 ] 而 显示为： f(x)={2x∈Q1x∉Q∧x∈A0x∉Af(x) = \begin{cases} 2 & x \in \mathbb Q \\ 1 & x \notin \mathbb Q \land x \in \mathbb A \\ 0 & x \notin \mathbb A\end{cases}f(x)=⎩⎨⎧ 210 x∈Qx∈/Q∧x∈Ax∈/A 基本语法 ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ 二元关系 / 运算符 二元关系符： LaTeX 效果 x = y x=yx = yx=y x > y x>yx > yx>y x < y x<yx < yx<y x \ge y x≥yx \ge yx≥y x \le y x≤yx \le yx≤y x \perp y x⊥yx \perp yx⊥y x \parallel y x∥yx \parallel yx∥y x \mid y x∣yx \mid yx∣y x \nparallel y x∦yx \nparallel yx∦y x \nmid y x∤yx \nmid yx∤y x \approx y x≈yx \approx yx≈y x \in y x∈yx \in yx∈y x \ni y x∋yx \ni yx∋y x \ne y x≠yx \ne yx=y x \sim y x∼yx \sim yx∼y 二元运算符： LaTeX 效果 x + y x+yx + yx+y x - y x−yx - yx−y x \times y x×yx \times yx×y x \div y x÷yx \div yx÷y x \cdot y x⋅yx \cdot yx⋅y x \bmod y x mod yx \bmod yxmody x \circ y x∘yx \circ yx∘y x * y x∗yx * yx∗y x \ast y x∗yx \ast yx∗y x / y x/yx / yx/y x \oplus y x⊕yx \oplus yx⊕y x \otimes y x⊗yx \otimes yx⊗y 上标与下标 上标命令是 ^{角标}，下标命令是 _{角标}。当角标是单个字符时可以不用花括号（在 LaTeX\LaTeXLATE X 中，花括号是用于分组，即花括号内部文本为一组）。 例：x_1、x^2、x_1^2、x^2_1、x_{22}^{(n)}、{}^*\!x^* 的显示效果分别为：x1x_1x1 、x2x^2x2、x12x_1^2x12 、x12x^2_1x12 、x22(n)x_{22}^{(n)}x22(n) 、∗ ⁣x∗{}^*\!x^*∗x∗。 分式 输入较短的分式时，最简单的方法是使用斜线，譬如输入 $(x + y) / 2$，可得到 (x+y)/2(x + y) / 2(x+y)/2。 要输入带有水平分数线的公式，可用命令：\frac{分子}{分母}。 LaTeX 显示效果 \frac{x + y}{2} x+y2\frac{x + y}{2}2x+y \frac{1}{1 + \frac{1}{2}} 11+12\frac{1}{1 + \frac{1}{2}}1+21 1 根式 排版根式的命令是：开平方：\sqrt{表达式}；开 nnn 次方：\sqrt[n]{表达式}。 LaTeX 效果 \sqrt{2} < \sqrt[3]{3} 2<33\sqrt{2} < \sqrt[3]{3}2 <33 \sqrt{1 + \sqrt[p]{1 + a^2}} 1+1+a2p\sqrt{1 + \sqrt[p]{1 + a^2}}1+p1+a2 求和与积分 排版求和符号与积分符号的命令分别为 \sum 和 \int，它们通常都有上下限，在排版上就是上标和下标。 LaTeX 效果 \sum_{k = 1}^{n} \frac{1}{k} ∑k=1n1k\sum_{k = 1}^{n} \frac{1}{k}∑k=1n k1 \sum_{k = 1}^n \frac{1}{k} ∑k=1n1k\sum_{k = 1}^n \frac{1}{k}∑k=1n k1 \int_a^b f(x) d x ∫abf(x)dx\int_a^b f(x) d x∫ab f(x)dx \int_a^b f(x) \mathop{} \! \mathrm{d} x ∫abf(x) ⁣dx\int_a^b f(x) \mathop{} \! \mathrm{d} x∫ab f(x)dx 字体、字号与颜色 ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ 字体 对于英文的字体，LaTeX\LaTeXLATE X 给出了三个层级： 1. 族（family）：有罗马（roman）、无衬线（sans-serif）、打字机（teletype）三族，改变字体的基本外观。 2. 形状（shape）：有直立（upright）、意大利（italic）两种形状。 3. 重量（weight）：有中等（medium）、粗体（boldface）两种重量。 在某些时候，LaTeX\LaTeXLATE X 允许这些层级叠加使用： 直立中等 意大利中等 直立粗体 意大利粗体 \textup{\textmd \textit{\textmd \textup{\textbf \textit{\textbf 罗马 \textrm 无衬线 \textsf 打字机 \texttt 在文本模式下（即 \text 内部），默认情况下，族使用罗马、形状使用直立、重量使用中等。 在数学模式下（即 LaTeX\LaTeXLATE X 的默认），默认情况下，族使用罗马、形状使用意大利、重量使用中等。 \mathbb：ABCDEFGHIJKLMNOPQRSTUVWXYZ\mathbb{ABCDEFGHIJKLMNOPQRSTUVWXYZ}ABCDEFGHIJKLMNOPQRSTUVWXYZ 和 k\mathbb{k}k。 \mathcal：ABCDEFGHIJKLMNOPQRSTUVWXYZ\mathcal{ABCDEFGHIJKLMNOPQRSTUVWXYZ}ABCDEFGHIJKLMNOPQRSTUVWXYZ 和 0123456789\mathcal{0123456789}0123456789。 \mathscr：ABCDEFGHIJKLMNOPQRSTUVWXYZ\mathscr{ABCDEFGHIJKLMNOPQRSTUVWXYZ}ABCDEFGHIJKLMNOPQRSTUVWXYZ。 \mathfrak：ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789\mathfrak{ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789}ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789。 前文的改变字体的命令对这些特殊字体无效。

挑战赛题解来喽！ T1、N - 立方数 T2、N - 9的倍数 T3、N - 平方数 T4、大盗杰瑞 T5、距离求和 T6、最小绝对差值和

自从法兰西玫瑰发题解开始，不少用户成为其粉丝，一度疯狂。 在2023.9，法兰西玫瑰抄袭题解的证据被找出，但不少人仍说只是被盗号了，但不是盗号的原因，分明是他本人所为 现在，我们已挖出法兰西玫瑰95%的题解都是抄袭的证据，但法兰西玫瑰的粉丝太过疯狂，不愿意相信这件事 我提出观点： 法兰西玫瑰的热度，大家觉得都是题解。但，法兰西玫瑰的题解是抄袭的！他，为什么有资格被称为“法神”“法姐”？他的名利，是不正当的！ 希望大家能够理性面对事实，而不是跟风 大家有没有发现，法兰西玫瑰从来没有参加过比赛？不少用户提出让他参加比赛，但他，从来没有参加过。你们认为他的实力强，但为什么不敢参赛？希望大家理性吧 ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ 告诉个小事，法兰西玫瑰是男的

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本来想用chatgpt做的，对了 但是想清除分数清楚不掉了，直接飙到第二了qwq 还是去不掉 救救我，帮我去掉第4题分数

对于最近用户SCP对我提出的质疑，我给出以下回复： 你们认为我冤枉复仇者抄袭题解，我可以告诉你们我没有。我只不过怀疑罢了，我想让他给我证据，但是他迟迟不肯给我，说他累了不想发了要退站。 复仇者说我冤枉他抄袭，是他自作多情，我多次和他私聊强调我只是怀疑，但他不听罢了。 对于某些不知情的乐子，我希望你们意识到举报是维护正义的表现，而不是觉得ACGO不是用来举报的，请大家谅解，谢谢

RT 第0关： this is 链接 in luogu,the patse in this: 提示： 00110101 01110111 01100010 01110100 00111001 01111010 00110010 00110000 upd 2024/5/19 @钱某 成功猜出第0关答案 现公布第0关答案：https://www.luogu.com.cn/paste/5wbt9z20 请复制此链接到下一关。

<iostream>//数据流输入／输出 <algorithm>//STL 通用算法 <bitset>//STL 位集容器 <cctype>//字符处理 <cerrno>//定义错误码 <cfloat>//浮点数处理 <ciso646>//对应各种运算符的宏 <climits>//定义各种数据类型最值的常量 <clocale>//定义本地化函数 <cmath>//定义数学函数 <complex>//复数类 <csignal>//信号机制支持 <csetjmp>//异常处理支持 <cstdarg>//不定参数列表支持 <cstddef>//常用常量 <cstdio>//定义输入／输出函数 <cstdlib>//定义杂项函数及内存分配函数 <cstring>//字符串处理 <ctime>//定义关于时间的函数 <cwchar>//宽字符处理及输入／输出 <cwctype>//宽字符分类 <deque>//STL 双端队列容器 <exception>//异常处理类 <fstream>//文件输入／输出 <functional>//STL 定义运算函数（代替运算符） <limits>//定义各种数据类型最值常量 <list>//STL 线性列表容器 <locale>//本地化特定信息 <map>//STL 映射容器 <memory>//STL通过分配器进行的内存分配 <new>//动态内存分配 <numeric>//STL常用的数字操作 <iomanip>//参数化输入／输出 <ios>//基本输入／输出支持 <iosfwd>//输入／输出系统使用的前置声明 <istream>//基本输入流 <iterator>//STL迭代器 <ostream>//基本输出流 <queue>//STL 队列容器 <set>//STL 集合容器 <sstream>//基于字符串的流 <stack>//STL 堆栈容器 <stdexcept>//标准异常类 <streambuf>//底层输入／输出支持 <string>//字符串类 <typeinfo>//运行期间类型信息 <utility>//STL 通用模板类 <valarray>//对包含值的数组的操作 <vector>//STL 动态数组容器 <bits/stdc++.h>//万能头文件 <windows.h> <istream> <ostream> 招人啦！！！

我军管理员可在此帖下方评论反馈

AKDAY8 搜索算法——深度优先搜索(DFS) > * 回溯 > * 剪枝 > * 连通性判断 排列组合 加法原理与乘法原理 加法原理：(0∼9+a∼z)(0\sim 9+a\sim z)(0∼9+a∼z)任选一个共有多少种可能性 10+26=36种 乘法原理： Anm=n∗(n−1)∗......∗(n−m+1)A^m_n=n*(n-1)*......*(n-m+1)Anm =n∗(n−1)∗......∗(n−m+1) ***=Anm÷AmmC^m_n=A^m_n\div A^m_mCnm =Anm ÷Amm “排列”例题 洛谷B3621B3621B3621——枚举元组 寻找题目链接 “组合”例题 洛谷B3623B3623B3623——枚举排列 寻找题目链接 综合例题 洛谷B3622B3622B3622——枚举子集 寻找题目链接 剪枝 剪枝条件 当题目上出现w[i]w[i]w[i]在范围内均匀随机生成 可运用剪枝的例题 洛谷B3624 猫粮规划 八皇后问题 题目描述 一个如下的 6×66 \times 66×6 的跳棋棋盘，有六个棋子被放置在棋盘上，使得每行、每列有且只有一个，每条对角线（包括两条主对角线的所有平行线）上至多有一个棋子。 上面的布局可以用序列 2 4 6 1 3 52\ 4\ 6\ 1\ 3\ 52 4 6 1 3 5 来描述，第 iii 个数字表示在第 iii 行的相应位置有一个棋子，如下： 行号 1 2 3 4 5 61\ 2\ 3\ 4\ 5\ 61 2 3 4 5 6 列号 2 4 6 1 3 52\ 4\ 6\ 1\ 3\ 52 4 6 1 3 5 这只是棋子放置的一个解。请编一个程序找出所有棋子放置的解。 并把它们以上面的序列方法输出，解按字典顺序排列。 请输出前 333 个解。最后一行是解的总个数。 输入格式 一行一个正整数 nnn，表示棋盘是 n×nn \times nn×n 大小的。 输出格式 前三行为前三个解，每个解的两个数字之间用一个空格隔开。第四行只有一个数字，表示解的总数。 样例 #1 样例输入 #1 样例输出 #1 提示 【数据范围】 对于 100%100\%100% 的数据，6≤n≤136 \le n \le 136≤n≤13。 题目翻译来自NOCOW。 USACO Training Section 1.5 ANSWERANSWERANSWER

与这个重题？

随便聊（100%回复，但可能不定时）

@ 什么是C++

众所周知，用户陈臻武被我举报抄袭题解后，不仅用自己的人生安全威胁我删除，还要报警，并且说被我气死，大肆传播 最近，这位用户开始说以后自己弟弟操控，实际上还是他自己。 陈臻武在抄袭天才翻斗花园·黑曼巴·理塘·丁真老师这篇文章中举报他人抄袭代码，实际上他自己也是抄的，很明显的贼喊捉贼 于是我评论了他自己也是抄袭的，评论区就有一群人也开始评论他 陈臻武气急败坏，使用小号，冒充西安市教育局，诽谤我犯罪 证据： 不仅诽谤他人犯罪，冒充西安市教育局，还威胁他人退出ACGO 很明显，这是陈臻武的小号，连IP属地都一样，并且还说我把陈臻武气死，很显然是陈臻武的小号 陈臻武甚至使用小号威胁我退出ACGO，还要让我注销小号，让我删除团队，删除发布内容 而且，假设我真的犯罪了，教育局也不管犯罪😂，就算管也管不到我这😂 陈臻武可能以为他冒充会有用吧，说我犯罪，我不仅没有犯罪，倒是他构成了诽谤、造谣、威胁罪。 这位用户甚至为了逃避责任，自导自演，说这个不是他小号，但是我能确定就是他小号有4点： 1.说话方式、语气相同 2.IP属地相同 3.俩号秒回 4.甚至说我把你气死，要我退出ACGO 请大家以此为戒！切勿模仿陈臻武的行为！

这是一种获胜方式（仅举例）： 当然，可以斜着获胜：

a \Lleftarrow b

尊敬的ACGO编程社区的朋友们： 我们非常荣幸地宣布，我们的ZDZL团队正在寻找新的成员加入我们的团队。如果你对编程充满热情，有丰富的项目经验，并且想要在编程领域发挥自己的才华和技能，那么我们诚挚地邀请你加入我们的团队。 作为一个富有活力和激情的编程社区，我们一直致力于为会员提供最好的资源和服务。我们的团队成员来自不同的背景和技术领域，每个人都有着独特的技能和贡献。我们的目标是为会员创造一个友好、互助和学习的环境，让每个人都有机会在编程领域取得成功。 如果你想成为我们团队的一员，你需要具备以下条件： 会编程语言C++; 有良好的编码习惯和代码规范； 积极主动，乐于沟通和协作； 对技术有强烈的兴趣和热情； 在编程领域有一定的实践经验和成果。 如果你符合以上条件，并且想加入我们的团队，请打开下面的网站： https://www.acgo.cn/team/1789939819680796672?teamName=ZDZL ,申请加入。我们将认真审阅每一份申请。 最后，再次感谢您对ZDZL的支持和关注。我们期待着您的加入，一起创造更美好的编程未来！ 祝好！ ZDZL团队

2024/4/19 用户 复仇者_自信_黄梓 ID：3920521 由于参加内部比赛故意无视最显眼的告示：禁止抄袭题解 此人抄袭题解刷AK，加上之前此人所做恶行（刷屏，烦人），故踢出团队，并将小号一并踢出，有异议评论区提出 ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ 2024/4/21 用户 陈臻武 ID：3766406 由于参加内部比赛故意无视最显眼的告示：禁止抄袭题解 此人抄袭题解刷AK，加上之前此人所做恶行（抄袭题解，抄袭代码，诽谤、造谣、冒充），故踢出团队，有异议评论区提出 ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ 2024/5/01 用户 林克 ━━╋══════➢ ID：526267 由于参加内部比赛故意无视最显眼的告示：禁止抄袭题解 此人抄袭题解刷AC，故放入小黑屋，再次犯错立即踢出，有异议评论区提出 用户 一只野生的散兵ด้้้้้็้้ ID：3234226 由于参加内部比赛故意无视最显眼的告示：禁止抄袭题解 此人抄袭题解刷AC，故放入小黑屋，再次犯错立即踢出，有异议评论区提出 用户 牢大 ID：665283 在加入团队的申请语中使用及其肮脏、黄色、淫秽的词语， 故放入小黑屋，再次犯错立即踢出，有异议评论区提出 ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ 注明：中国团队的处罚对事不对人！我们不会因为惋惜一位成员而减轻惩罚！ 踢出团队的成员将不再允许加入团队