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第 0 章 &nbsp; 前言
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第 0 章 &nbsp; 前言
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0.1 &nbsp; 关于本书
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0.2 &nbsp; 如何使用本书
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</span>
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</a>
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0.3 &nbsp; 小结
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第 1 章 &nbsp; 初识算法
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第 1 章 &nbsp; 初识算法
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1.1 &nbsp; 算法无处不在
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1.2 &nbsp; 算法是什么
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1.3 &nbsp; 小结
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第 2 章 &nbsp; 复杂度分析
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第 2 章 &nbsp; 复杂度分析
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2.1 &nbsp; 算法效率评估
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2.2 &nbsp; 迭代与递归
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2.3 &nbsp; 时间复杂度
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2.4 &nbsp; 空间复杂度
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2.5 &nbsp; 小结
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第 3 章 &nbsp; 数据结构
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3.1 &nbsp; 数据结构分类
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3.2 &nbsp; 基本数据类型
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3.3 &nbsp; 数字编码 *
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3.4 &nbsp; 字符编码 *
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3.5 &nbsp; 小结
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第 4 章 &nbsp; 数组与链表
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4.1 &nbsp; 数组
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4.2 &nbsp; 链表
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4.3 &nbsp; 列表
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4.4 &nbsp; 内存与缓存 *
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4.5 &nbsp; 小结
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第 5 章 &nbsp; 栈与队列
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5.1 &nbsp;
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5.2 &nbsp; 队列
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5.3 &nbsp; 双向队列
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5.4 &nbsp; 小结
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第 6 章 &nbsp; 哈希表
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6.1 &nbsp; 哈希表
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</a>
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6.2 &nbsp; 哈希冲突
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6.3 &nbsp; 哈希算法
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</a>
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6.4 &nbsp; 小结
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第 7 章 &nbsp;
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7.1 &nbsp; 二叉树
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</a>
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7.2 &nbsp; 二叉树遍历
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7.3 &nbsp; 二叉树数组表示
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7.4 &nbsp; 二叉搜索树
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7.5 &nbsp; AVL 树 *
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7.6 &nbsp; 小结
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第 8 章 &nbsp;
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8.1 &nbsp;
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8.2 &nbsp; 建堆操作
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8.3 &nbsp; Top-K 问题
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第 9 章 &nbsp;
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第 9 章 &nbsp;
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9.1 &nbsp;
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9.2 &nbsp; 图基础操作
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9.3 &nbsp; 图的遍历
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9.4 &nbsp; 小结
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第 10 章 &nbsp; 搜索
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10.1 &nbsp; 二分查找
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10.2 &nbsp; 二分查找插入点
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10.3 &nbsp; 二分查找边界
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</span>
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</a>
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10.4 &nbsp; 哈希优化策略
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</a>
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10.5 &nbsp; 重识搜索算法
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10.6 &nbsp; 小结
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第 11 章 &nbsp; 排序
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11.1 &nbsp; 排序算法
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<li class="md-nav__item">
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<span class="md-ellipsis">
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11.2 &nbsp; 选择排序
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</span>
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</a>
</li>
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<li class="md-nav__item">
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<span class="md-ellipsis">
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11.3 &nbsp; 冒泡排序
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</span>
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</a>
</li>
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<li class="md-nav__item">
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<span class="md-ellipsis">
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11.4 &nbsp; 插入排序
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</span>
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</a>
</li>
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<li class="md-nav__item">
<a href="chapter_sorting/quick_sort/" class="md-nav__link">
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<span class="md-ellipsis">
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11.5 &nbsp; 快速排序
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</span>
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</a>
</li>
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<li class="md-nav__item">
<a href="chapter_sorting/merge_sort/" class="md-nav__link">
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<span class="md-ellipsis">
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11.6 &nbsp; 归并排序
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</span>
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</a>
</li>
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<li class="md-nav__item">
<a href="chapter_sorting/heap_sort/" class="md-nav__link">
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<span class="md-ellipsis">
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11.7 &nbsp; 堆排序
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</span>
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</a>
</li>
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<li class="md-nav__item">
<a href="chapter_sorting/bucket_sort/" class="md-nav__link">
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<span class="md-ellipsis">
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11.8 &nbsp; 桶排序
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</span>
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</a>
</li>
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<li class="md-nav__item">
<a href="chapter_sorting/counting_sort/" class="md-nav__link">
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<span class="md-ellipsis">
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11.9 &nbsp; 计数排序
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</span>
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</a>
</li>
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<li class="md-nav__item">
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<a href="chapter_sorting/radix_sort/" class="md-nav__link">
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<span class="md-ellipsis">
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11.10 &nbsp; 基数排序
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</span>
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</a>
</li>
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<li class="md-nav__item">
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<span class="md-ellipsis">
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11.11 &nbsp; 小结
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</span>
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</a>
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<span class="md-ellipsis">
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第 12 章 &nbsp; 分治
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第 12 章 &nbsp; 分治
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12.1 &nbsp; 分治算法
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</span>
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</a>
</li>
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12.2 &nbsp; 分治搜索策略
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</span>
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</a>
</li>
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<li class="md-nav__item">
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<a href="chapter_divide_and_conquer/build_binary_tree_problem/" class="md-nav__link">
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12.3 &nbsp; 构建树问题
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</span>
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</a>
</li>
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12.4 &nbsp; 汉诺塔问题
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</span>
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</a>
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12.5 &nbsp; 小结
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第 13 章 &nbsp; 回溯
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第 13 章 &nbsp; 回溯
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13.1 &nbsp; 回溯算法
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</span>
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</a>
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13.2 &nbsp; 全排列问题
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</span>
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</a>
</li>
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13.3 &nbsp; 子集和问题
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</span>
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</a>
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13.4 &nbsp; N 皇后问题
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</span>
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</a>
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13.5 &nbsp; 小结
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</span>
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第 14 章 &nbsp; 动态规划
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第 14 章 &nbsp; 动态规划
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14.1 &nbsp; 初探动态规划
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14.2 &nbsp; DP 问题特性
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14.3 &nbsp; DP 解题思路
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16.3 &nbsp; 术语表
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<h1 align="center"> </h1>
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<h2 align="center"> 《 Hello 算法 》</h2>
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<p align="center"> 动画图解、一键运行的数据结构与算法教程 </p>
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<a href="https://github.com/krahets/hello-algo">
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<img alt="GitHub repo stars" src="https://img.shields.io/github/stars/krahets/hello-algo?style=social&link=https%3A%2F%2Fgithub.com%2Fkrahets%2Fhello-algo">
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<p align="center">
<img src="https://img.shields.io/badge/Python-snow?logo=python&logoColor=3776AB">
<img src="https://img.shields.io/badge/C%2B%2B-snow?logo=c%2B%2B&logoColor=00599C">
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<hr />
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<h2 align="center"> 推荐语 </h2>
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<div style="display: flex;">
<div class="admonition quote" style="flex: 1; margin-right: 0.4rem;">
<p class="admonition-title">Quote</p>
<p>“一本通俗易懂的数据结构与算法入门书,引导读者手脑并用地学习,强烈推荐算法初学者阅读。”</p>
<p><strong>—— 邓俊辉,清华大学计算机系教授</strong></p>
</div>
<div class="admonition quote" style="flex: 1; margin-left: 0.4rem;">
<p class="admonition-title">Quote</p>
<p>“如果我当年学数据结构与算法的时候有《Hello 算法》,学起来应该会简单 10 倍!”</p>
<p><strong>—— 李沐,亚马逊资深首席科学家</strong></p>
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</div>
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<hr />
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<div style="flex: 1; margin: 0 2rem; display: flex; flex-direction: column; align-items: center;">
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<h3>动画图解</h3>
<svg xmlns="http://www.w3.org/2000/svg" height="16" width="20" viewBox="0 0 640 512"><!--!Font Awesome Free 6.5.1 by @fontawesome - https://fontawesome.com License - https://fontawesome.com/license/free Copyright 2023 Fonticons, Inc.--><path d="M256 0H576c35.3 0 64 28.7 64 64V288c0 35.3-28.7 64-64 64H256c-35.3 0-64-28.7-64-64V64c0-35.3 28.7-64 64-64zM476 106.7C471.5 100 464 96 456 96s-15.5 4-20 10.7l-56 84L362.7 169c-4.6-5.7-11.5-9-18.7-9s-14.2 3.3-18.7 9l-64 80c-5.8 7.2-6.9 17.1-2.9 25.4s12.4 13.6 21.6 13.6h80 48H552c8.9 0 17-4.9 21.2-12.7s3.7-17.3-1.2-24.6l-96-144zM336 96a32 32 0 1 0 -64 0 32 32 0 1 0 64 0zM64 128h96V384v32c0 17.7 14.3 32 32 32H320c17.7 0 32-14.3 32-32V384H512v64c0 35.3-28.7 64-64 64H64c-35.3 0-64-28.7-64-64V192c0-35.3 28.7-64 64-64zm8 64c-8.8 0-16 7.2-16 16v16c0 8.8 7.2 16 16 16H88c8.8 0 16-7.2 16-16V208c0-8.8-7.2-16-16-16H72zm0 104c-8.8 0-16 7.2-16 16v16c0 8.8 7.2 16 16 16H88c8.8 0 16-7.2 16-16V312c0-8.8-7.2-16-16-16H72zm0 104c-8.8 0-16 7.2-16 16v16c0 8.8 7.2 16 16 16H88c8.8 0 16-7.2 16-16V416c0-8.8-7.2-16-16-16H72zm336 16v16c0 8.8 7.2 16 16 16h16c8.8 0 16-7.2 16-16V416c0-8.8-7.2-16-16-16H424c-8.8 0-16 7.2-16 16z"/></svg>
</div>
<p style="text-align: center;">内容清晰易懂</br>学习曲线平滑</p>
</div>
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<img src="index.assets/animation.gif" class="cover-image" style="flex-shrink: 0; width: auto; max-width: 50%; border-radius: 0.5rem;">
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</div>
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<div class="admonition quote">
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<p align="center">"A picture is worth a thousand words."</p>
<p align="center">“一图胜千言”</p>
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</div>
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<div style="display: flex; align-items: center; margin: 2rem auto;">
<img src="index.assets/running_code.gif" class="cover-image" style="flex-shrink: 0; width: auto; max-width: 50%; border-radius: 0.5rem;">
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<div style="display: flex; flex-direction: column; align-items: center;">
<h3>一键运行</h3>
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</div>
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<p style="text-align: center;">十余种编程语言<br>代码可直接运行</p>
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</div>
</div>
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<div class="admonition quote">
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<p align="center">"Talk is cheap. Show me the code."</p>
<p align="center">“少吹牛,看代码”</p>
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</div>
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<div style="display: flex; align-items: center; margin: 2rem auto;">
<div style="flex: 1; margin: 0 2rem; display: flex; flex-direction: column; align-items: center;">
<div style="display: flex; flex-direction: column; align-items: center;">
<h3>互助学习</h3>
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<p style="text-align: center;">欢迎讨论与提问</br>读者间携手共进</p>
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</div>
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<img src="index.assets/comment.gif" class="cover-image" style="flex-shrink: 0; width: auto; max-width: 50%; border-radius: 0.5rem;">
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</div>
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<div class="admonition quote">
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<p align="center">"追风赶月莫停留"</p>
<p align="center">“平芜尽处是春山”</p>
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</div>
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<hr />
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<h2 align="center"></h2>
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<p>两年前,我在力扣上分享了“剑指 Offer”系列题解受到了许多同学的喜爱和支持。在与读者交流期间我最常收到的一个问题是“如何入门算法”。逐渐地我对这个问题产生了浓厚的兴趣。</p>
<p>两眼一抹黑地刷题似乎是最受欢迎的方法,简单直接且有效。然而刷题就如同玩“扫雷”游戏,自学能力强的同学能够顺利将地雷逐个排掉,而基础不足的同学很可能被炸的满头是包,并在挫折中步步退缩。通读教材也是一种常见做法,但对于面向求职的同学来说,毕业季、投递简历、准备笔试面试已经消耗了大部分精力,啃厚重的书往往变成了一项艰巨的挑战。</p>
<p>如果你也面临类似的困扰,那么很幸运这本书找到了你。本书是我对这个问题给出的答案,即使不是最优解,也至少是一次积极的尝试。本书虽然不足以让你直接拿到 Offer ,但会引导你探索数据结构与算法的“知识地图”,带你了解不同“地雷”的形状、大小和分布位置,让你掌握各种“排雷方法”。有了这些本领,相信你可以更加自如地刷题和阅读文献,逐步构建起完整的知识体系。</p>
<p>我深深赞同费曼教授所言“Knowledge isn't free. You have to pay attention.”从这个意义上看,这本书并非完全“免费”。为了不辜负你为本书所付出的宝贵“注意力”,我会尽我所能,投入最大的“注意力”来完成这本书的创作。</p>
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<h3 align="left"> 作者简介 </h3>
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<p>靳宇栋 (<a href="https://leetcode.cn/u/jyd/">Krahets</a>)大厂高级算法工程师上海交通大学硕士。力扣LeetCode全网阅读量最高博主发表的<a href="https://leetcode.cn/leetbook/detail/illustration-of-algorithm/">《图解算法数据结构》</a>已被订阅 30 万本。</p>
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<hr />
<h2 align="center"> 致谢 </h2>
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<p>本书在开源社区众多贡献者的共同努力下不断完善。感谢每一位投入时间与精力的撰稿人,他们是(按照 GitHub 自动生成的顺序排列):</p>
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<p align="center">
<a href="https://github.com/krahets/hello-algo/graphs/contributors">
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<img width="550" src="https://contrib.rocks/image?repo=krahets/hello-algo">
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</a>
</p>
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<p>本书的代码审阅工作由 Gonglja、gvenusleo、hpstory、justintse、krahets、night-cruise、nuomi1、Reanon 和 sjinzh 完成(按照首字母顺序排列)。感谢他们付出的时间与精力,正是他们确保了各语言代码的规范与统一。</p>
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<div class="center-table">
<table>
<tbody>
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<td align="center"><a href="https://github.com/Gonglja"><img style="border-radius: 50%;" src="https://avatars.githubusercontent.com/u/39959756?v=4" width="50px;" alt="Gonglja"/><br /><sub><b>Gonglja</b></sub></a><br /><sub>C, C++</sub></td>
<td align="center"><a href="https://github.com/gvenusleo"><img style="border-radius: 50%;" src="https://avatars.githubusercontent.com/u/79075347?v=4" width="50px;" alt="gvenusleo"/><br /><sub><b>gvenusleo</b></sub></a><br /><sub>Dart</sub></td>
<td align="center"><a href="https://github.com/hpstory"><img style="border-radius: 50%;" src="https://avatars.githubusercontent.com/u/33348162?v=4" width="50px;" alt="hpstory"/><br /><sub><b>hpstory</b></sub></a><br /><sub>C#</sub></td>
<td align="center"><a href="https://github.com/justin-tse"><img style="border-radius: 50%;" src="https://avatars.githubusercontent.com/u/24556310?v=4" width="50px;" alt="justin-tse"/><br /><sub><b>justin-tse</b></sub></a><br /><sub>JS, TS</sub></td>
<td align="center"><a href="https://github.com/krahets"><img style="border-radius: 50%;" src="https://avatars.githubusercontent.com/u/26993056?v=4" width="50px;" alt="krahets"/><br /><sub><b>krahets</b></sub></a><br /><sub>Java, Python</sub></td>
<td align="center"><a href="https://github.com/night-cruise"><img style="border-radius: 50%;" src="https://avatars.githubusercontent.com/u/77157236?v=4" width="50px;" alt="night-cruise"/><br /><sub><b>night-cruise</b></sub></a><br /><sub>Rust</sub></td>
<td align="center"><a href="https://github.com/nuomi1"><img style="border-radius: 50%;" src="https://avatars.githubusercontent.com/u/3739017?v=4" width="50px;" alt="nuomi1"/><br /><sub><b>nuomi1</b></sub></a><br /><sub>Swift</sub></td>
<td align="center"><a href="https://github.com/Reanon"><img style="border-radius: 50%;" src="https://avatars.githubusercontent.com/u/22005836?v=4" width="50px;" alt="Reanon"/><br /><sub><b>Reanon</b></sub></a><br /><sub>Go, C</sub></td>
<td align="center"><a href="https://github.com/sjinzh"><img style="border-radius: 50%;" src="https://avatars.githubusercontent.com/u/99076655?v=4" width="50px;" alt="sjinzh"/><br /><sub><b>sjinzh</b></sub></a><br /><sub>Rust, Zig</sub></td>
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</tbody>
</table>
</div>
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