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序
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序
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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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< a href = "../../chapter_preface/summary/" class = "md-nav__link" >
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0.3 小结
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< a href = "../../chapter_introduction/" class = "md-nav__link " >
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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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4.1 数组
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4.3 列表
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6.1 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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6.4 小结
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第 7 章 树
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第 7 章 树
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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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< / 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_11" >
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< div class = "md-nav__link md-nav__container" >
< a href = "../../chapter_graph/" class = "md-nav__link " >
< 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 >
< span class = "md-ellipsis" >
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第 9 章 图
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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 >
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< nav class = "md-nav" data-md-level = "1" aria-labelledby = "__nav_11_label" aria-expanded = "false" >
< label class = "md-nav__title" for = "__nav_11" >
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< span class = "md-nav__icon md-icon" > < / span >
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第 9 章 图
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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_graph/graph/" class = "md-nav__link" >
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< span class = "md-ellipsis" >
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9.1 图
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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_graph/graph_operations/" class = "md-nav__link" >
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< span class = "md-ellipsis" >
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9.2 图基础操作
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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_graph/graph_traversal/" class = "md-nav__link" >
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< span class = "md-ellipsis" >
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9.3 图的遍历
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< / span >
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< / a >
< / li >
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< li class = "md-nav__item" >
< a href = "../../chapter_graph/summary/" class = "md-nav__link" >
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< span class = "md-ellipsis" >
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9.4 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_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_12" id = "__nav_12_label" tabindex = "0" >
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< span class = "md-nav__icon md-icon" > < / span >
< / label >
< / div >
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< nav class = "md-nav" data-md-level = "1" aria-labelledby = "__nav_12_label" aria-expanded = "false" >
< label class = "md-nav__title" for = "__nav_12" >
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< 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_13" >
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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_13" id = "__nav_13_label" tabindex = "0" >
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< span class = "md-nav__icon md-icon" > < / span >
< / label >
< / div >
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< nav class = "md-nav" data-md-level = "1" aria-labelledby = "__nav_13_label" aria-expanded = "false" >
< label class = "md-nav__title" for = "__nav_13" >
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< 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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11.7 堆排序
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11.8 桶排序
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11.9 计数排序
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11.10 基数排序
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11.11 小结
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第 12 章 分治
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第 12 章 分治
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12.1 分治算法
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12.2 分治搜索策略
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12.3 构建树问题
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12.4 汉诺塔问题
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12.5 小结
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第 13 章 回溯
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第 13 章 回溯
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13.1 回溯算法
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13.2 全排列问题
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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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13.5 小结
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14.1 初探动态规划
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14.2 DP 问题特性
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14.3 DP 解题思路
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14.5 完全背包问题
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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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16.1.1 安装 IDE
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16.1.2 安装语言环境
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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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< h1 id = "161" > 16.1 编程环境安装< a class = "headerlink" href = "#161" title = "Permanent link" > ¶ < / a > < / h1 >
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< h2 id = "1611-ide" > 16.1.1 安装 IDE< a class = "headerlink" href = "#1611-ide" title = "Permanent link" > ¶ < / a > < / h2 >
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< p > 推荐使用开源、轻量的 VS Code 作为本地集成开发环境( IDE) 。访问 < a href = "https://code.visualstudio.com/" > VS Code 官网< / a > ,根据操作系统选择相应版本的 VS Code 进行下载和安装。< / p >
< p > < a class = "glightbox" href = "../installation.assets/vscode_installation.png" data-type = "image" data-width = "100%" data-height = "auto" data-desc-position = "bottom" > < img alt = "从官网下载 VS Code" class = "animation-figure" src = "../installation.assets/vscode_installation.png" / > < / a > < / p >
< p align = "center" > 图 16-1 从官网下载 VS Code < / p >
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< p > VS Code 拥有强大的扩展包生态系统,支持大多数编程语言的运行和调试。以 Python 为例, 安装“Python Extension Pack”扩展包之后, 即可进行 Python 代码调试。安装步骤如图 16-2 所示。< / p >
< p > < a class = "glightbox" href = "../installation.assets/vscode_extension_installation.png" data-type = "image" data-width = "100%" data-height = "auto" data-desc-position = "bottom" > < img alt = "安装 VS Code 扩展包" class = "animation-figure" src = "../installation.assets/vscode_extension_installation.png" / > < / a > < / p >
< p align = "center" > 图 16-2 安装 VS Code 扩展包 < / p >
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< h2 id = "1612" > 16.1.2 安装语言环境< a class = "headerlink" href = "#1612" title = "Permanent link" > ¶ < / a > < / h2 >
< h3 id = "1-python" > 1. Python 环境< a class = "headerlink" href = "#1-python" title = "Permanent link" > ¶ < / a > < / h3 >
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< ol >
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< li > 下载并安装 < a href = "https://docs.conda.io/en/latest/miniconda.html" > Miniconda3< / a > ,需要 Python 3.10 或更新版本。< / li >
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< li > 在 VS Code 的插件市场中搜索 < code > python< / code > ,安装 Python Extension Pack 。< / li >
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< li > (可选)在命令行输入 < code > pip install black< / code > ,安装代码格式化工具。< / li >
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< / ol >
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< h3 id = "2-cc" > 2. C/C++ 环境< a class = "headerlink" href = "#2-cc" title = "Permanent link" > ¶ < / a > < / h3 >
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< ol >
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< li > Windows 系统需要安装 < a href = "https://sourceforge.net/projects/mingw-w64/files/" > MinGW< / a > ( < a href = "https://blog.csdn.net/qq_33698226/article/details/129031241" > 配置教程< / a > ) ; MacOS 自带 Clang ,无须安装。< / li >
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< li > 在 VS Code 的插件市场中搜索 < code > c++< / code > ,安装 C/C++ Extension Pack 。< / li >
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< li > (可选)打开 Settings 页面,搜索 < code > Clang_format_fallback Style< / code > 代码格式化选项,设置为 < code > { BasedOnStyle: Microsoft, BreakBeforeBraces: Attach }< / code > 。< / li >
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< / ol >
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< h3 id = "3-java" > 3. Java 环境< a class = "headerlink" href = "#3-java" title = "Permanent link" > ¶ < / a > < / h3 >
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< ol >
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< li > 下载并安装 < a href = "https://jdk.java.net/18/" > OpenJDK< / a > (版本需满足 > JDK 9) 。< / li >
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< li > 在 VS Code 的插件市场中搜索 < code > java< / code > ,安装 Extension Pack for Java 。< / li >
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< / ol >
< h3 id = "4-c" > 4. C# 环境< a class = "headerlink" href = "#4-c" title = "Permanent link" > ¶ < / a > < / h3 >
< ol >
< li > 下载并安装 < a href = "https://dotnet.microsoft.com/en-us/download" > .Net 8.0< / a > 。< / li >
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< li > 在 VS Code 的插件市场中搜索 < code > C# Dev Kit< / code > ,安装 C# Dev Kit ( < a href = "https://code.visualstudio.com/docs/csharp/get-started" > 配置教程< / a > )。< / li >
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< li > 也可使用 Visual Studio( < a href = "https://learn.microsoft.com/zh-cn/visualstudio/install/install-visual-studio?view=vs-2022" > 安装教程< / a > )。< / li >
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< / ol >
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< h3 id = "5-go" > 5. Go 环境< a class = "headerlink" href = "#5-go" title = "Permanent link" > ¶ < / a > < / h3 >
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< ol >
< li > 下载并安装 < a href = "https://go.dev/dl/" > go< / a > 。< / li >
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< li > 在 VS Code 的插件市场中搜索 < code > go< / code > ,安装 Go 。< / li >
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< li > 按快捷键 < code > Ctrl + Shift + P< / code > 呼出命令栏,输入 go ,选择 < code > Go: Install/Update Tools< / code > ,全部勾选并安装即可。< / li >
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< / ol >
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< h3 id = "6-swift" > 6. Swift 环境< a class = "headerlink" href = "#6-swift" title = "Permanent link" > ¶ < / a > < / h3 >
< ol >
< li > 下载并安装 < a href = "https://www.swift.org/download/" > Swift< / a > 。< / li >
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< li > 在 VS Code 的插件市场中搜索 < code > swift< / code > ,安装 < a href = "https://marketplace.visualstudio.com/items?itemName=sswg.swift-lang" > Swift for Visual Studio Code< / a > 。< / li >
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< / ol >
< h3 id = "7-javascript" > 7. JavaScript 环境< a class = "headerlink" href = "#7-javascript" title = "Permanent link" > ¶ < / a > < / h3 >
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< ol >
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< li > 下载并安装 < a href = "https://nodejs.org/en/" > Node.js< / a > 。< / li >
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< li > (可选)在 VS Code 的插件市场中搜索 < code > Prettier< / code > ,安装代码格式化工具。< / li >
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< / ol >
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< h3 id = "8-typescript" > 8. TypeScript 环境< a class = "headerlink" href = "#8-typescript" title = "Permanent link" > ¶ < / a > < / h3 >
< ol >
< li > 同 JavaScript 环境安装步骤。< / li >
< li > 安装 < a href = "https://github.com/privatenumber/tsx?tab=readme-ov-file#global-installation" > TypeScript Execute (tsx)< / a > 。< / li >
< li > 在 VS Code 的插件市场中搜索 < code > typescript< / code > ,安装 < a href = "https://marketplace.visualstudio.com/items?itemName=yoavbls.pretty-ts-errors" > Pretty TypeScript Errors< / a > 。< / li >
< / ol >
< h3 id = "9-dart" > 9. Dart 环境< a class = "headerlink" href = "#9-dart" title = "Permanent link" > ¶ < / a > < / h3 >
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< ol >
< li > 下载并安装 < a href = "https://dart.dev/get-dart" > Dart< / a > 。< / li >
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< li > 在 VS Code 的插件市场中搜索 < code > dart< / code > ,安装 < a href = "https://marketplace.visualstudio.com/items?itemName=Dart-Code.dart-code" > Dart< / a > 。< / li >
2023-08-17 05:12:16 +08:00
< / ol >
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< h3 id = "10-rust" > 10. Rust 环境< a class = "headerlink" href = "#10-rust" title = "Permanent link" > ¶ < / a > < / h3 >
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< ol >
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< li > 下载并安装 < a href = "https://www.rust-lang.org/tools/install" > Rust< / a > 。< / li >
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< li > 在 VS Code 的插件市场中搜索 < code > rust< / code > ,安装 < a href = "https://marketplace.visualstudio.com/items?itemName=rust-lang.rust-analyzer" > rust-analyzer< / a > 。< / li >
2023-02-27 03:45:08 +08:00
< / ol >
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