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Hello 算法
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Hello 算法
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krahets/hello-algo
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< svg xmlns = "http://www.w3.org/2000/svg" viewBox = "0 0 24 24" > < path d = "M21 4H3a2 2 0 0 0-2 2v13a2 2 0 0 0 2 2h18a2 2 0 0 0 2-2V6a2 2 0 0 0-2-2M3 19V6h8v13H3m18 0h-8V6h8v13m-7-9.5h6V11h-6V9.5m0 2.5h6v1.5h-6V12m0 2.5h6V16h-6v-1.5Z" / > < / svg >
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第 0 章 前言
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第 0 章 前言
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0.1 关于本书
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0.2 如何使用本书
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0.3 小结
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第 1 章 初识算法
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第 1 章 初识算法
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1.1 算法无处不在
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1.2 算法是什么
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1.3 小结
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第 2 章 复杂度分析
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第 2 章 复杂度分析
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2.1 算法效率评估
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2.2 迭代与递归
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2.3 时间复杂度
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2.4 空间复杂度
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2.5 小结
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第 3 章 数据结构
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第 3 章 数据结构
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3.1 数据结构分类
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3.2 基本数据类型
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3.3 数字编码 *
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3.4 字符编码 *
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4.1 数组
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4.4 内存与缓存 *
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4.5 小结
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第 5 章 栈与队列
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5.1 栈
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5.3 双向队列
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5.4 小结
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第 6 章 哈希表
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6.2 哈希冲突
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6.3 哈希算法
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7.1 二叉树
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7.2 二叉树遍历
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7.3 二叉树数组表示
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7.4 二叉搜索树
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7.5 AVL 树 *
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7.6 小结
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第 8 章 堆
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第 8 章 堆
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8.1 堆
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8.2 建堆操作
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8.3 Top-k 问题
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8.4 小结
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< svg xmlns = "http://www.w3.org/2000/svg" viewBox = "0 0 24 24" > < path d = "m12 5.37-.44-.06L6 14.9c.24.21.4.48.47.78h11.06c.07-.3.23-.57.47-.78l-5.56-9.59-.44.06M6.6 16.53l4.28 2.53c.29-.27.69-.43 1.12-.43.43 0 .83.16 1.12.43l4.28-2.53H6.6M12 22a1.68 1.68 0 0 1-1.68-1.68l.09-.56-4.3-2.55c-.31.36-.76.58-1.27.58a1.68 1.68 0 0 1-1.68-1.68c0-.79.53-1.45 1.26-1.64V9.36c-.83-.11-1.47-.82-1.47-1.68A1.68 1.68 0 0 1 4.63 6c.55 0 1.03.26 1.34.66l4.41-2.53-.06-.45c0-.93.75-1.68 1.68-1.68.93 0 1.68.75 1.68 1.68l-.06.45 4.41 2.53c.31-.4.79-.66 1.34-.66a1.68 1.68 0 0 1 1.68 1.68c0 .86-.64 1.57-1.47 1.68v5.11c.73.19 1.26.85 1.26 1.64a1.68 1.68 0 0 1-1.68 1.68c-.51 0-.96-.22-1.27-.58l-4.3 2.55.09.56A1.68 1.68 0 0 1 12 22M10.8 4.86 6.3 7.44l.02.24c0 .71-.44 1.32-1.06 1.57l.03 5.25 5.51-9.64m2.4 0 5.51 9.64.03-5.25c-.62-.25-1.06-.86-1.06-1.57l.02-.24-4.5-2.58Z" / > < / svg >
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第 9 章 图
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第 9 章 图
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9.1 图
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9.2 图基础操作
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9.3 图的遍历
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9.4 小结
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< li class = "md-nav__item md-nav__item--nested" >
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< input class = "md-nav__toggle md-toggle " type = "checkbox" id = "__nav_11" >
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< div class = "md-nav__link md-nav__container" >
< a href = "chapter_searching/" class = "md-nav__link " >
< svg xmlns = "http://www.w3.org/2000/svg" viewBox = "0 0 24 24" > < path d = "m19.31 18.9 3.08 3.1L21 23.39l-3.12-3.07c-.69.43-1.51.68-2.38.68-2.5 0-4.5-2-4.5-4.5s2-4.5 4.5-4.5 4.5 2 4.5 4.5c0 .88-.25 1.71-.69 2.4m-3.81.1a2.5 2.5 0 0 0 0-5 2.5 2.5 0 0 0 0 5M21 4v2H3V4h18M3 16v-2h6v2H3m0-5V9h18v2h-2.03c-1.01-.63-2.2-1-3.47-1s-2.46.37-3.47 1H3Z" / > < / svg >
< span class = "md-ellipsis" >
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第 10 章 搜索
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< / span >
< / a >
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< label class = "md-nav__link " for = "__nav_11" id = "__nav_11_label" tabindex = "0" >
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< span class = "md-nav__icon md-icon" > < / span >
< / label >
< / div >
< nav class = "md-nav" data-md-level = "1" aria-labelledby = "__nav_11_label" aria-expanded = "false" >
< label class = "md-nav__title" for = "__nav_11" >
< span class = "md-nav__icon md-icon" > < / span >
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第 10 章 搜索
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< / label >
< ul class = "md-nav__list" data-md-scrollfix >
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< li class = "md-nav__item" >
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< a href = "chapter_searching/binary_search/" class = "md-nav__link" >
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< span class = "md-ellipsis" >
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10.1 二分查找
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< / span >
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< / a >
< / li >
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< li class = "md-nav__item" >
< a href = "chapter_searching/binary_search_insertion/" class = "md-nav__link" >
< span class = "md-ellipsis" >
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10.2 二分查找插入点
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< / span >
< / a >
< / li >
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< li class = "md-nav__item" >
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< a href = "chapter_searching/binary_search_edge/" class = "md-nav__link" >
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< span class = "md-ellipsis" >
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10.3 二分查找边界
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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_searching/replace_linear_by_hashing/" class = "md-nav__link" >
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< span class = "md-ellipsis" >
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10.4 哈希优化策略
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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_searching/searching_algorithm_revisited/" class = "md-nav__link" >
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< span class = "md-ellipsis" >
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10.5 重识搜索算法
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< / span >
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< / a >
< / li >
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< li class = "md-nav__item" >
< a href = "chapter_searching/summary/" class = "md-nav__link" >
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< span class = "md-ellipsis" >
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10.6 小结
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< / span >
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< / a >
< / li >
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< / ul >
< / nav >
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< / li >
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< li class = "md-nav__item md-nav__item--nested" >
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< input class = "md-nav__toggle md-toggle " type = "checkbox" id = "__nav_12" >
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< div class = "md-nav__link md-nav__container" >
< a href = "chapter_sorting/" class = "md-nav__link " >
< svg xmlns = "http://www.w3.org/2000/svg" viewBox = "0 0 24 24" > < path d = "M19 17h3l-4 4-4-4h3V3h2M2 17h10v2H2M6 5v2H2V5m0 6h7v2H2v-2Z" / > < / svg >
< span class = "md-ellipsis" >
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第 11 章 排序
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< / span >
< / a >
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< label class = "md-nav__link " for = "__nav_12" id = "__nav_12_label" tabindex = "0" >
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< span class = "md-nav__icon md-icon" > < / span >
< / label >
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< / div >
< nav class = "md-nav" data-md-level = "1" aria-labelledby = "__nav_12_label" aria-expanded = "false" >
< label class = "md-nav__title" for = "__nav_12" >
< span class = "md-nav__icon md-icon" > < / span >
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第 11 章 排序
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< / label >
< ul class = "md-nav__list" data-md-scrollfix >
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< li class = "md-nav__item" >
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< a href = "chapter_sorting/sorting_algorithm/" class = "md-nav__link" >
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< span class = "md-ellipsis" >
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11.1 排序算法
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< / span >
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< / a >
< / li >
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< li class = "md-nav__item" >
< a href = "chapter_sorting/selection_sort/" class = "md-nav__link" >
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< span class = "md-ellipsis" >
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11.2 选择排序
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< / span >
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< / a >
< / li >
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< li class = "md-nav__item" >
< a href = "chapter_sorting/bubble_sort/" class = "md-nav__link" >
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< span class = "md-ellipsis" >
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11.3 冒泡排序
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< / span >
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< / a >
< / li >
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< li class = "md-nav__item" >
< a href = "chapter_sorting/insertion_sort/" class = "md-nav__link" >
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< span class = "md-ellipsis" >
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11.4 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 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 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 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 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 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 基数排序
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< / span >
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< / a >
< / li >
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< li class = "md-nav__item" >
< a href = "chapter_sorting/summary/" class = "md-nav__link" >
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< span class = "md-ellipsis" >
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11.11 小结
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< / span >
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< / a >
< / li >
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< / ul >
< / nav >
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< / li >
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< li class = "md-nav__item md-nav__item--nested" >
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< input class = "md-nav__toggle md-toggle " type = "checkbox" id = "__nav_13" >
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< div class = "md-nav__link md-nav__container" >
< a href = "chapter_divide_and_conquer/" class = "md-nav__link " >
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< svg xmlns = "http://www.w3.org/2000/svg" viewBox = "0 0 24 24" > < path d = "M17 7v2h5V7h-5M2 9v6h5V9H2m10 0v2H9v2h3v2l3-3-3-3m5 2v2h5v-2h-5m0 4v2h5v-2h-5Z" / > < / svg >
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< span class = "md-ellipsis" >
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第 12 章 分治
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< / span >
< / a >
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< label class = "md-nav__link " for = "__nav_13" id = "__nav_13_label" tabindex = "0" >
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< span class = "md-nav__icon md-icon" > < / span >
< / label >
< / div >
< nav class = "md-nav" data-md-level = "1" aria-labelledby = "__nav_13_label" aria-expanded = "false" >
< label class = "md-nav__title" for = "__nav_13" >
< span class = "md-nav__icon md-icon" > < / span >
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第 12 章 分治
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< / label >
< ul class = "md-nav__list" data-md-scrollfix >
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< li class = "md-nav__item" >
< a href = "chapter_divide_and_conquer/divide_and_conquer/" class = "md-nav__link" >
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< span class = "md-ellipsis" >
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12.1 分治算法
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< / span >
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< / a >
< / li >
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< li class = "md-nav__item" >
< a href = "chapter_divide_and_conquer/binary_search_recur/" class = "md-nav__link" >
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< span class = "md-ellipsis" >
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12.2 分治搜索策略
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13.3 子集和问题
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13.4 N 皇后问题
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15.3 最大容量问题
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15.4 最大切分乘积问题
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15.5 小结
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第 16 章 附录
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第 16 章 附录
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16.1 编程环境安装
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16.2 一起参与创作
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16.3 术语表
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参考文献
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< div class = "md-sidebar md-sidebar--secondary" data-md-component = "sidebar" data-md-type = "toc" hidden >
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< article class = "md-content__inner md-typeset" >
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< img src = "index.assets/hello_algo_header.png" style = "width: 100%; height: auto; margin-left: 15px; margin-right: 15px;" >
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< / div >
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< h2 align = "center" style = "margin-top: 25px;" > 《 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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< p align = "center" >
< a href = "https://github.com/krahets/hello-algo" >
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< a href = "https://github.com/krahets/hello-algo/releases" >
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< a href = "https://github.com/krahets/hello-algo" >
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< img alt = "GitHub contributors" src = "https://img.shields.io/github/contributors-anon/krahets/hello-algo?style=social&logo=git&logoColor=%23101010" >
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< p align = "center" >
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< svg xmlns = "http://www.w3.org/2000/svg" height = "16" width = "18" viewBox = "0 0 576 512" > <!-- !Font Awesome Free 6.5.1 by @fontawesome - https://fontawesome.com License - https://fontawesome.com/license/free Copyright 2023 Fonticons, Inc. --> < path d = "M249.6 471.5c10.8 3.8 22.4-4.1 22.4-15.5V78.6c0-4.2-1.6-8.4-5-11C247.4 52 202.4 32 144 32C93.5 32 46.3 45.3 18.1 56.1C6.8 60.5 0 71.7 0 83.8V454.1c0 11.9 12.8 20.2 24.1 16.5C55.6 460.1 105.5 448 144 448c33.9 0 79 14 105.6 23.5zm76.8 0C353 462 398.1 448 432 448c38.5 0 88.4 12.1 119.9 22.6c11.3 3.8 24.1-4.6 24.1-16.5V83.8c0-12.1-6.8-23.3-18.1-27.6C529.7 45.3 482.5 32 432 32c-58.4 0-103.4 20-123 35.6c-3.3 2.6-5 6.8-5 11V456c0 11.4 11.7 19.3 22.4 15.5z" / > < / svg >
开始阅读
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< a href = "https://github.com/krahets/hello-algo" class = "rounded-button" >
< svg xmlns = "http://www.w3.org/2000/svg" height = "16px" width = "15.5px" viewBox = "0 0 496 512" > <!-- !Font Awesome Free 6.5.1 by @fontawesome - https://fontawesome.com License - https://fontawesome.com/license/free Copyright 2023 Fonticons, Inc. --> < path d = "M165.9 397.4c0 2-2.3 3.6-5.2 3.6-3.3 .3-5.6-1.3-5.6-3.6 0-2 2.3-3.6 5.2-3.6 3-.3 5.6 1.3 5.6 3.6zm-31.1-4.5c-.7 2 1.3 4.3 4.3 4.9 2.6 1 5.6 0 6.2-2s-1.3-4.3-4.3-5.2c-2.6-.7-5.5 .3-6.2 2.3zm44.2-1.7c-2.9 .7-4.9 2.6-4.6 4.9 .3 2 2.9 3.3 5.9 2.6 2.9-.7 4.9-2.6 4.6-4.6-.3-1.9-3-3.2-5.9-2.9zM244.8 8C106.1 8 0 113.3 0 252c0 110.9 69.8 205.8 169.5 239.2 12.8 2.3 17.3-5.6 17.3-12.1 0-6.2-.3-40.4-.3-61.4 0 0-70 15-84.7-29.8 0 0-11.4-29.1-27.8-36.6 0 0-22.9-15.7 1.6-15.4 0 0 24.9 2 38.6 25.8 21.9 38.6 58.6 27.5 72.9 20.9 2.3-16 8.8-27.1 16-33.7-55.9-6.2-112.3-14.3-112.3-110.5 0-27.5 7.6-41.3 23.6-58.9-2.6-6.5-11.1-33.3 2.6-67.9 20.9-6.5 69 27 69 27 20-5.6 41.5-8.5 62.8-8.5s42.8 2.9 62.8 8.5c0 0 48.1-33.6 69-27 13.7 34.7 5.2 61.4 2.6 67.9 16 17.7 25.8 31.5 25.8 58.9 0 96.5-58.9 104.2-114.8 110.5 9.2 7.9 17 22.9 17 46.4 0 33.7-.3 75.4-.3 83.6 0 6.5 4.6 14.4 17.3 12.1C428.2 457.8 496 362.9 496 252 496 113.3 383.5 8 244.8 8zM97.2 352.9c-1.3 1-1 3.3 .7 5.2 1.6 1.6 3.9 2.3 5.2 1 1.3-1 1-3.3-.7-5.2-1.6-1.6-3.9-2.3-5.2-1zm-10.8-8.1c-.7 1.3 .3 2.9 2.3 3.9 1.6 1 3.6 .7 4.3-.7 .7-1.3-.3-2.9-2.3-3.9-2-.6-3.6-.3-4.3 .7zm32.4 35.6c-1.6 1.3-1 4.3 1.3 6.2 2.3 2.3 5.2 2.6 6.5 1 1.3-1.3 .7-4.3-1.3-6.2-2.2-2.3-5.2-2.6-6.5-1zm-11.4-14.7c-1.6 1-1.6 3.6 0 5.9 1.6 2.3 4.3 3.3 5.6 2.3 1.6-1.3 1.6-3.9 0-6.2-1.4-2.3-4-3.3-5.6-2z" / > < / svg >
下载代码
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< a href = "https://github.com/krahets/hello-algo/releases" class = "rounded-button" >
< svg xmlns = "http://www.w3.org/2000/svg" height = "16" width = "16" viewBox = "0 0 512 512" > <!-- !Font Awesome Free 6.5.1 by @fontawesome - https://fontawesome.com License - https://fontawesome.com/license/free Copyright 2023 Fonticons, Inc. --> < path d = "M0 64C0 28.7 28.7 0 64 0L224 0l0 128c0 17.7 14.3 32 32 32l128 0 0 144-208 0c-35.3 0-64 28.7-64 64l0 144-48 0c-35.3 0-64-28.7-64-64L0 64zm384 64l-128 0L256 0 384 128zM176 352l32 0c30.9 0 56 25.1 56 56s-25.1 56-56 56l-16 0 0 32c0 8.8-7.2 16-16 16s-16-7.2-16-16l0-48 0-80c0-8.8 7.2-16 16-16zm32 80c13.3 0 24-10.7 24-24s-10.7-24-24-24l-16 0 0 48 16 0zm96-80l32 0c26.5 0 48 21.5 48 48l0 64c0 26.5-21.5 48-48 48l-32 0c-8.8 0-16-7.2-16-16l0-128c0-8.8 7.2-16 16-16zm32 128c8.8 0 16-7.2 16-16l0-64c0-8.8-7.2-16-16-16l-16 0 0 96 16 0zm80-112c0-8.8 7.2-16 16-16l48 0c8.8 0 16 7.2 16 16s-7.2 16-16 16l-32 0 0 32 32 0c8.8 0 16 7.2 16 16s-7.2 16-16 16l-32 0 0 48c0 8.8-7.2 16-16 16s-16-7.2-16-16l0-64 0-64z" / > < / svg >
下载 PDF
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< p > < img src = "index.assets/hello_algo_hero.jpg" class = "cover-image" style = "width: 100%; margin-top: 27px;" > < / p >
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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 >
< / div >
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< / div >
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< hr / >
< 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 > 动画图解< / h3 >
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< svg xmlns = "http://www.w3.org/2000/svg" height = "28" width = "28" 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 fill = "var(--md-primary-bg-color)" 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 >
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< / 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;" >
< 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 > 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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< h3 > 互助学习< / h3 >
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< svg xmlns = "http://www.w3.org/2000/svg" height = "28" width = "28" 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 fill = "var(--md-primary-bg-color)" d = "M88.2 309.1c9.8-18.3 6.8-40.8-7.5-55.8C59.4 230.9 48 204 48 176c0-63.5 63.8-128 160-128s160 64.5 160 128s-63.8 128-160 128c-13.1 0-25.8-1.3-37.8-3.6c-10.4-2-21.2-.6-30.7 4.2c-4.1 2.1-8.3 4.1-12.6 6c-16 7.2-32.9 13.5-49.9 18c2.8-4.6 5.4-9.1 7.9-13.6c1.1-1.9 2.2-3.9 3.2-5.9zM0 176c0 41.8 17.2 80.1 45.9 110.3c-.9 1.7-1.9 3.5-2.8 5.1c-10.3 18.4-22.3 36.5-36.6 52.1c-6.6 7-8.3 17.2-4.6 25.9C5.8 378.3 14.4 384 24 384c43 0 86.5-13.3 122.7-29.7c4.8-2.2 9.6-4.5 14.2-6.8c15.1 3 30.9 4.5 47.1 4.5c114.9 0 208-78.8 208-176S322.9 0 208 0S0 78.8 0 176zM432 480c16.2 0 31.9-1.6 47.1-4.5c4.6 2.3 9.4 4.6 14.2 6.8C529.5 498.7 573 512 616 512c9.6 0 18.2-5.7 22-14.5c3.8-8.8 2-19-4.6-25.9c-14.2-15.6-26.2-33.7-36.6-52.1c-.9-1.7-1.9-3.4-2.8-5.1C622.8 384.1 640 345.8 640 304c0-94.4-87.9-171.5-198.2-175.8c4.1 15.2 6.2 31.2 6.2 47.8l0 .6c87.2 6.7 144 67.5 144 127.4c0 28-11.4 54.9-32.7 77.2c-14.3 15-17.3 37.6-7.5 55.8c1.1 2 2.2 4 3.2 5.9c2.5 4.5 5.2 9 7.9 13.6c-17-4.5-33.9-10.7-49.9-18c-4.3-1.9-8.5-3.9-12.6-6c-9.5-4.8-20.3-6.2-30.7-4.2c-12.1 2.4-24.7 3.6-37.8 3.6c-61.7 0-110-26.5-136.8-62.3c-16 5.4-32.8 9.4-50 11.8C279 439.8 350 480 432 480z" / > < / svg >
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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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< 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 class = "admonition quote" >
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< p align = "center" > "Knowledge increases by sharing."< / p >
< p align = "center" > “知识在分享中得以增长”< / p >
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< / div >
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< hr / >
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< h3 align = "center" > 序 < / h3 >
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< p > 两年前，我在力扣上分享了“剑指 Offer”系列题解， ， ， < / p >
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< 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得满头是包，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 >
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< 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： < / p >
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< h3 align = "left" > 作者 < / h3 >
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< p > 靳宇栋 (< a href = "https://leetcode.cn/u/jyd/" > Krahets< / a > )， ， （ ） ， < 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 / >
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< h3 align = "center" > 贡献 < / h3 >
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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 codingonion、Gonglja、gvenusleo、hpstory、justin-tse、krahets、night-cruise、nuomi1 和 Reanon 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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< tbody >
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< td align = "center" style = "border: none;" > < a href = "https://github.com/codingonion" > < img style = "border-radius: 50%;" src = "https://avatars.githubusercontent.com/u/99076655?v=4" width = "50px;" alt = "codingonion" / > < / br > < sub > < b > codingonion< / b > < / sub > < / a > < / br > < sub > Rust, Zig< / sub > < / td >
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< td align = "center" style = "border: none;" > < 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" style = "border: none;" > < 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" style = "border: none;" > < 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" style = "border: none;" > < 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" style = "border: none;" > < 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" style = "border: none;" > < 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" style = "border: none;" > < 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" style = "border: none;" > < 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 >
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< script id = "__config" type = "application/json" > { "base" : "." , "features" : [ "content.action.edit" , "content.code.annotate" , "content.code.copy" , "content.tabs.link" , "content.tooltips" , "navigation.indexes" , "navigation.top" , "navigation.footer" , "navigation.tracking" , "search.highlight" , "search.share" , "search.suggest" , "toc.follow" ] , "search" : "assets/javascripts/workers/search.f886a092.min.js" , "translations" : { "clipboard.copied" : "\u5df2\u590d\u5236" , "clipboard.copy" : "\u590d\u5236" , "search.result.more.one" : "\u5728\u8be5\u9875\u4e0a\u8fd8\u6709 1 \u4e2a\u7b26\u5408\u6761\u4ef6\u7684\u7ed3\u679c" , "search.result.more.other" : "\u5728\u8be5\u9875\u4e0a\u8fd8\u6709 # \u4e2a\u7b26\u5408\u6761\u4ef6\u7684\u7ed3\u679c" , "search.result.none" : "\u6ca1\u6709\u627e\u5230\u7b26\u5408\u6761\u4ef6\u7684\u7ed3\u679c" , "search.result.one" : "\u627e\u5230 1 \u4e2a\u7b26\u5408\u6761\u4ef6\u7684\u7ed3\u679c" , "search.result.other" : "# \u4e2a\u7b26\u5408\u6761\u4ef6\u7684\u7ed3\u679c" , "search.result.placeholder" : "\u952e\u5165\u4ee5\u5f00\u59cb\u641c\u7d22" , "search.result.term.missing" : "\u7f3a\u5c11" , "select.version" : "\u9009\u62e9\u5f53\u524d\u7248\u672c" } } < / script >
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< script src = "assets/javascripts/bundle.d7c377c4.min.js" > < / script >
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< script src = "javascripts/mathjax.js" > < / script >
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< script src = "https://polyfill.io/v3/polyfill.min.js?features=es6" > < / script >
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< script src = "https://cdn.jsdelivr.net/npm/mathjax@3/es5/tex-mml-chtml.js" > < / script >
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< / body >
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< / html >
