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跳转至
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Hello 算法
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7.4. 二叉搜索树
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正在初始化搜索引擎
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Hello 算法
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0. 写在前面
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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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1. 引言
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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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2. 复杂度分析
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2.1. 算法效率评估
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2.2. 时间复杂度
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2.3. 空间复杂度
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2.4. 小结
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3. 数据结构简介
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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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3.5. 小结
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4. 数组与链表
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4.1. 数组
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4.2. 链表
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4.3. 列表
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4.4. 小结
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5. 栈与队列
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5.1. 栈
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5.2. 队列
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5.3. 双向队列
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5.4. 小结
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6. 散列表
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6.1. 哈希表（ ）
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6.2. 哈希冲突（ ）
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6.4. 小结
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7. 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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7.4. 二叉搜索树
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目录
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7.4.1. 二叉搜索树的操作
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查找节点
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删除节点
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7.4.3. 二叉搜索树常见应用
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7.5. AVL 树 *
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7.6. 小结
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8. 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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< 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_10_label" aria-expanded = "false" >
< label class = "md-nav__title" for = "__nav_10" >
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< span class = "md-nav__icon md-icon" > < / span >
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9. 图
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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_graph/graph/" class = "md-nav__link" >
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9.1. 图
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< / a >
< / li >
< li class = "md-nav__item" >
< a href = "../../chapter_graph/graph_operations/" class = "md-nav__link" >
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9.2. 图基础操作
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< / a >
< / li >
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< li class = "md-nav__item" >
< a href = "../../chapter_graph/graph_traversal/" class = "md-nav__link" >
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9.3. 图的遍历
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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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9.4. 小结
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< / a >
< / li >
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< / ul >
< / nav >
< / li >
< li class = "md-nav__item md-nav__item--section 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__link--index " >
< a href = "../../chapter_searching/" > 10. 搜索< / a >
< label for = "__nav_11" >
< 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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10. 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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10.1. 二分查找
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< / a >
< / li >
< li class = "md-nav__item" >
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< a href = "../../chapter_searching/binary_search_edge/" class = "md-nav__link" >
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10.2. 二分查找边界
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< / a >
< / li >
< li class = "md-nav__item" >
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< a href = "../../chapter_searching/replace_linear_by_hashing/" class = "md-nav__link" >
10.3. 哈希优化策略
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< / a >
< / li >
< li class = "md-nav__item" >
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< a href = "../../chapter_searching/searching_algorithm_revisited/" class = "md-nav__link" >
10.4. 重识搜索算法
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< / a >
< / li >
< li class = "md-nav__item" >
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< a href = "../../chapter_searching/summary/" class = "md-nav__link" >
10.5. 小结
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< / a >
< / li >
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< / ul >
< / nav >
< / li >
< li class = "md-nav__item md-nav__item--section md-nav__item--nested" >
< input class = "md-nav__toggle md-toggle " type = "checkbox" id = "__nav_12" >
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< div class = "md-nav__link md-nav__link--index " >
< a href = "../../chapter_sorting/" > 11. 排序< / a >
< label for = "__nav_12" >
< 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" >
< span class = "md-nav__icon md-icon" > < / span >
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11. 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" >
11.1. 排序算法
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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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11.2. 选择排序
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< / a >
< / li >
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< li class = "md-nav__item" >
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< a href = "../../chapter_sorting/bubble_sort/" class = "md-nav__link" >
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11.3. 冒泡排序
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< / a >
< / li >
< li class = "md-nav__item" >
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< a href = "../../chapter_sorting/insertion_sort/" class = "md-nav__link" >
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11.4. 插入排序
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< / a >
< / li >
< li class = "md-nav__item" >
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< a href = "../../chapter_sorting/quick_sort/" class = "md-nav__link" >
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11.5. 快速排序
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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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11.6. 归并排序
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< / a >
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< / li >
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< li class = "md-nav__item" >
< a href = "../../chapter_sorting/heap_sort/" class = "md-nav__link" >
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11.7. 堆排序
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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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11.8. 桶排序
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< / a >
< / li >
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< li class = "md-nav__item" >
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< a href = "../../chapter_sorting/counting_sort/" class = "md-nav__link" >
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11.9. 计数排序
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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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11.10. 基数排序
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< / a >
< / li >
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< li class = "md-nav__item" >
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< a href = "../../chapter_sorting/summary/" class = "md-nav__link" >
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11.11. 小结
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< / a >
< / li >
< / ul >
< / nav >
< / li >
< li class = "md-nav__item md-nav__item--section 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__link--index " >
< a href = "../../chapter_backtracking/" > 12. 回溯< / a >
< label for = "__nav_13" >
< 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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12. 回溯
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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_backtracking/backtracking_algorithm/" class = "md-nav__link" >
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12.1. 回溯算法
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< / a >
< / li >
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< li class = "md-nav__item" >
< a href = "../../chapter_backtracking/permutations_problem/" class = "md-nav__link" >
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12.2. 全排列问题
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< / a >
< / li >
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< li class = "md-nav__item" >
< a href = "../../chapter_backtracking/subset_sum_problem/" class = "md-nav__link" >
12.3. 子集和问题（ ）
< / a >
< / li >
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< li class = "md-nav__item" >
< a href = "../../chapter_backtracking/n_queens_problem/" class = "md-nav__link" >
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12.4. N 皇后问题
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< / a >
< / li >
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< li class = "md-nav__item" >
< a href = "../../chapter_backtracking/summary/" class = "md-nav__link" >
12.5. 小结
< / a >
< / li >
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< / ul >
< / nav >
< / li >
< li class = "md-nav__item md-nav__item--section md-nav__item--nested" >
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< input class = "md-nav__toggle md-toggle " type = "checkbox" id = "__nav_14" >
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< label class = "md-nav__link" for = "__nav_14" id = "__nav_14_label" tabindex = "0" >
13. 附录
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< span class = "md-nav__icon md-icon" > < / span >
< / label >
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< nav class = "md-nav" data-md-level = "1" aria-labelledby = "__nav_14_label" aria-expanded = "false" >
< label class = "md-nav__title" for = "__nav_14" >
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< span class = "md-nav__icon md-icon" > < / span >
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13. 附录
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< / label >
< ul class = "md-nav__list" data-md-scrollfix >
< li class = "md-nav__item" >
< a href = "../../chapter_appendix/installation/" class = "md-nav__link" >
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13.1. 编程环境安装
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< / a >
< / li >
< li class = "md-nav__item" >
< a href = "../../chapter_appendix/contribution/" class = "md-nav__link" >
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13.2. 一起参与创作
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< / a >
< / li >
< / ul >
< / nav >
< / li >
< li class = "md-nav__item md-nav__item--section md-nav__item--nested" >
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< input class = "md-nav__toggle md-toggle " type = "checkbox" id = "__nav_15" >
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< div class = "md-nav__link md-nav__link--index " >
< a href = "../../chapter_reference/" > 参考文献< / a >
< / div >
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< nav class = "md-nav" data-md-level = "1" aria-labelledby = "__nav_15_label" aria-expanded = "false" >
< label class = "md-nav__title" for = "__nav_15" >
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< span class = "md-nav__icon md-icon" > < / span >
参考文献
< / label >
< ul class = "md-nav__list" data-md-scrollfix >
< / ul >
< / nav >
< / li >
< / ul >
< / nav >
< / div >
< / div >
< / div >
< div class = "md-sidebar md-sidebar--secondary" data-md-component = "sidebar" data-md-type = "toc" >
< div class = "md-sidebar__scrollwrap" >
< div class = "md-sidebar__inner" >
< nav class = "md-nav md-nav--secondary" aria-label = "目录" >
< label class = "md-nav__title" for = "__toc" >
< span class = "md-nav__icon md-icon" > < / span >
目录
< / label >
< ul class = "md-nav__list" data-md-component = "toc" data-md-scrollfix >
< li class = "md-nav__item" >
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< a href = "#741" class = "md-nav__link" >
7.4.1. 二叉搜索树的操作
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< / a >
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< nav class = "md-nav" aria-label = "7.4.1. 二叉搜索树的操作" >
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< ul class = "md-nav__list" >
< li class = "md-nav__item" >
< a href = "#_1" class = "md-nav__link" >
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查找节点
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< / a >
< / li >
< li class = "md-nav__item" >
< a href = "#_2" class = "md-nav__link" >
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插入节点
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< / a >
< / li >
< li class = "md-nav__item" >
< a href = "#_3" class = "md-nav__link" >
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删除节点
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< / a >
< / li >
< li class = "md-nav__item" >
< a href = "#_4" class = "md-nav__link" >
排序
< / a >
< / li >
< / ul >
< / nav >
< / li >
< li class = "md-nav__item" >
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< a href = "#742" class = "md-nav__link" >
7.4.2. 二叉搜索树的效率
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< / a >
< / li >
< li class = "md-nav__item" >
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< a href = "#743" class = "md-nav__link" >
7.4.3. 二叉搜索树常见应用
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< / a >
< / li >
< / ul >
< / nav >
< / div >
< / div >
< / div >
< div class = "md-content" data-md-component = "content" >
< article class = "md-content__inner md-typeset" >
< a href = "https://github.com/krahets/hello-algo/tree/main/docs/chapter_tree/binary_search_tree.md" title = "编辑此页" class = "md-content__button md-icon" >
< svg xmlns = "http://www.w3.org/2000/svg" viewBox = "0 0 24 24" > < path d = "M10 20H6V4h7v5h5v3.1l2-2V8l-6-6H6c-1.1 0-2 .9-2 2v16c0 1.1.9 2 2 2h4v-2m10.2-7c.1 0 .3.1.4.2l1.3 1.3c.2.2.2.6 0 .8l-1 1-2.1-2.1 1-1c.1-.1.2-.2.4-.2m0 3.9L14.1 23H12v-2.1l6.1-6.1 2.1 2.1Z" / > < / svg >
< / a >
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< h1 id = "74" > 7.4. 二叉搜索树< a class = "headerlink" href = "#74" title = "Permanent link" > ¶ < / a > < / h1 >
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< p > 「二叉搜索树 Binary Search Tree」满足以下条件： < / p >
< ol >
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< li > 对于根节点，左子树中所有节点的值 < span class = "arithmatex" > \(< \)< / span > 根节点的值 < span class = "arithmatex" > \(< \)< / span > 右子树中所有节点的值；< / li >
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< li > 任意节点的左、右子树也是二叉搜索树，即同样满足条件 < code > 1.< / code > ； < / li >
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< / ol >
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< p > < img alt = "二叉搜索树" src = "../binary_search_tree.assets/binary_search_tree.png" / > < / p >
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< p align = "center" > Fig. 二叉搜索树 < / p >
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< h2 id = "741" > 7.4.1. 二叉搜索树的操作< a class = "headerlink" href = "#741" title = "Permanent link" > ¶ < / a > < / h2 >
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< h3 id = "_1" > 查找节点< a class = "headerlink" href = "#_1" title = "Permanent link" > ¶ < / a > < / h3 >
< p > 给定目标节点值 < code > num< / code > ，可以根据二叉搜索树的性质来查找。我们声明一个节点 < code > cur< / code > ，从二叉树的根节点 < code > root< / code > 出发，循环比较节点值 < code > cur.val< / code > 和 < code > num< / code > 之间的大小关系< / p >
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< ul >
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< li > 若 < code > cur.val < num< / code > ，说明目标节点在 < code > cur< / code > 的右子树中，因此执行 < code > cur = cur.right< / code > ； < / li >
< li > 若 < code > cur.val > num< / code > ，说明目标节点在 < code > cur< / code > 的左子树中，因此执行 < code > cur = cur.left< / code > ； < / li >
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< li > 若 < code > cur.val = num< / code > ，说明找到目标节点，跳出循环并返回该节点；< / li >
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< / ul >
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< div class = "tabbed-set tabbed-alternate" data-tabs = "1:4" > < input checked = "checked" id = "__tabbed_1_1" name = "__tabbed_1" type = "radio" / > < input id = "__tabbed_1_2" name = "__tabbed_1" type = "radio" / > < input id = "__tabbed_1_3" name = "__tabbed_1" type = "radio" / > < input id = "__tabbed_1_4" name = "__tabbed_1" type = "radio" / > < div class = "tabbed-labels" > < label for = "__tabbed_1_1" > < 1> < / label > < label for = "__tabbed_1_2" > < 2> < / label > < label for = "__tabbed_1_3" > < 3> < / label > < label for = "__tabbed_1_4" > < 4> < / label > < / div >
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< div class = "tabbed-content" >
< div class = "tabbed-block" >
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< p > < img alt = "二叉搜索树查找节点示例" src = "../binary_search_tree.assets/bst_search_step1.png" / > < / p >
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< / div >
< div class = "tabbed-block" >
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< p > < img alt = "bst_search_step2" src = "../binary_search_tree.assets/bst_search_step2.png" / > < / p >
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< / div >
< div class = "tabbed-block" >
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< p > < img alt = "bst_search_step3" src = "../binary_search_tree.assets/bst_search_step3.png" / > < / p >
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< / div >
< div class = "tabbed-block" >
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< p > < img alt = "bst_search_step4" src = "../binary_search_tree.assets/bst_search_step4.png" / > < / p >
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< / div >
< / div >
< / div >
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< p > 二叉搜索树的查找操作与二分查找算法的工作原理一致，都是每轮排除一半情况。循环次数最多为二叉树的高度，当二叉树平衡时，使用 < span class = "arithmatex" > \(O(\log n)\)< / span > 时间。< / p >
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< div class = "tabbed-set tabbed-alternate" data-tabs = "2:11" > < input checked = "checked" id = "__tabbed_2_1" name = "__tabbed_2" type = "radio" / > < input id = "__tabbed_2_2" name = "__tabbed_2" type = "radio" / > < input id = "__tabbed_2_3" name = "__tabbed_2" type = "radio" / > < input id = "__tabbed_2_4" name = "__tabbed_2" type = "radio" / > < input id = "__tabbed_2_5" name = "__tabbed_2" type = "radio" / > < input id = "__tabbed_2_6" name = "__tabbed_2" type = "radio" / > < input id = "__tabbed_2_7" name = "__tabbed_2" type = "radio" / > < input id = "__tabbed_2_8" name = "__tabbed_2" type = "radio" / > < input id = "__tabbed_2_9" name = "__tabbed_2" type = "radio" / > < input id = "__tabbed_2_10" name = "__tabbed_2" type = "radio" / > < input id = "__tabbed_2_11" name = "__tabbed_2" type = "radio" / > < div class = "tabbed-labels" > < label for = "__tabbed_2_1" > Java< / label > < label for = "__tabbed_2_2" > C++< / label > < label for = "__tabbed_2_3" > Python< / label > < label for = "__tabbed_2_4" > Go< / label > < label for = "__tabbed_2_5" > JavaScript< / label > < label for = "__tabbed_2_6" > TypeScript< / label > < label for = "__tabbed_2_7" > C< / label > < label for = "__tabbed_2_8" > C#< / label > < label for = "__tabbed_2_9" > Swift< / label > < label for = "__tabbed_2_10" > Zig< / label > < label for = "__tabbed_2_11" > Dart< / label > < / div >
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< div class = "tabbed-content" >
< div class = "tabbed-block" >
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< div class = "highlight" > < span class = "filename" > binary_search_tree.java< / span > < pre > < span > < / span > < code > < a id = "__codelineno-0-1" name = "__codelineno-0-1" href = "#__codelineno-0-1" > < / a > < span class = "cm" > /* 查找节点 */< / span >
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< a id = "__codelineno-0-2" name = "__codelineno-0-2" href = "#__codelineno-0-2" > < / a > < span class = "n" > TreeNode< / span > < span class = "w" > < / span > < span class = "nf" > search< / span > < span class = "p" > (< / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "n" > num< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-0-3" name = "__codelineno-0-3" href = "#__codelineno-0-3" > < / a > < span class = "w" > < / span > < span class = "n" > TreeNode< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > root< / span > < span class = "p" > ;< / span >
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< a id = "__codelineno-0-4" name = "__codelineno-0-4" href = "#__codelineno-0-4" > < / a > < span class = "w" > < / span > < span class = "c1" > // 循环查找，越过叶节点后跳出< / span >
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< a id = "__codelineno-0-5" name = "__codelineno-0-5" href = "#__codelineno-0-5" > < / a > < span class = "w" > < / span > < span class = "k" > while< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > !=< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
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< a id = "__codelineno-0-6" name = "__codelineno-0-6" href = "#__codelineno-0-6" > < / a > < span class = "w" > < / span > < span class = "c1" > // 目标节点在 cur 的右子树中< / span >
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< a id = "__codelineno-0-7" name = "__codelineno-0-7" href = "#__codelineno-0-7" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "na" > val< / span > < span class = "w" > < / span > < span class = "o" > < < / span > < span class = "w" > < / span > < span class = "n" > num< / span > < span class = "p" > )< / span >
< a id = "__codelineno-0-8" name = "__codelineno-0-8" href = "#__codelineno-0-8" > < / a > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "na" > right< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-0-9" name = "__codelineno-0-9" href = "#__codelineno-0-9" > < / a > < span class = "w" > < / span > < span class = "c1" > // 目标节点在 cur 的左子树中< / span >
< a id = "__codelineno-0-10" name = "__codelineno-0-10" href = "#__codelineno-0-10" > < / a > < span class = "w" > < / span > < span class = "k" > else< / span > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "na" > val< / span > < span class = "w" > < / span > < span class = "o" > > < / span > < span class = "w" > < / span > < span class = "n" > num< / span > < span class = "p" > )< / span >
< a id = "__codelineno-0-11" name = "__codelineno-0-11" href = "#__codelineno-0-11" > < / a > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "na" > left< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-0-12" name = "__codelineno-0-12" href = "#__codelineno-0-12" > < / a > < span class = "w" > < / span > < span class = "c1" > // 找到目标节点，跳出循环< / span >
< a id = "__codelineno-0-13" name = "__codelineno-0-13" href = "#__codelineno-0-13" > < / a > < span class = "w" > < / span > < span class = "k" > else< / span >
< a id = "__codelineno-0-14" name = "__codelineno-0-14" href = "#__codelineno-0-14" > < / a > < span class = "w" > < / span > < span class = "k" > break< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-0-15" name = "__codelineno-0-15" href = "#__codelineno-0-15" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-0-16" name = "__codelineno-0-16" href = "#__codelineno-0-16" > < / a > < span class = "w" > < / span > < span class = "c1" > // 返回目标节点< / span >
< a id = "__codelineno-0-17" name = "__codelineno-0-17" href = "#__codelineno-0-17" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-0-18" name = "__codelineno-0-18" href = "#__codelineno-0-18" > < / a > < span class = "p" > }< / span >
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< / code > < / pre > < / div >
< / div >
< div class = "tabbed-block" >
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< div class = "highlight" > < span class = "filename" > binary_search_tree.cpp< / span > < pre > < span > < / span > < code > < a id = "__codelineno-1-1" name = "__codelineno-1-1" href = "#__codelineno-1-1" > < / a > < span class = "cm" > /* 查找节点 */< / span >
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< a id = "__codelineno-1-2" name = "__codelineno-1-2" href = "#__codelineno-1-2" > < / a > < span class = "n" > TreeNode< / span > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "nf" > search< / span > < span class = "p" > (< / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "n" > num< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-1-3" name = "__codelineno-1-3" href = "#__codelineno-1-3" > < / a > < span class = "w" > < / span > < span class = "n" > TreeNode< / span > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > root< / span > < span class = "p" > ;< / span >
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< a id = "__codelineno-1-4" name = "__codelineno-1-4" href = "#__codelineno-1-4" > < / a > < span class = "w" > < / span > < span class = "c1" > // 循环查找，越过叶节点后跳出< / span >
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< a id = "__codelineno-1-5" name = "__codelineno-1-5" href = "#__codelineno-1-5" > < / a > < span class = "w" > < / span > < span class = "k" > while< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > !=< / span > < span class = "w" > < / span > < span class = "k" > nullptr< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
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< a id = "__codelineno-1-6" name = "__codelineno-1-6" href = "#__codelineno-1-6" > < / a > < span class = "w" > < / span > < span class = "c1" > // 目标节点在 cur 的右子树中< / span >
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< a id = "__codelineno-1-7" name = "__codelineno-1-7" href = "#__codelineno-1-7" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > cur< / span > < span class = "o" > -> < / span > < span class = "n" > val< / span > < span class = "w" > < / span > < span class = "o" > < < / span > < span class = "w" > < / span > < span class = "n" > num< / span > < span class = "p" > )< / span >
< a id = "__codelineno-1-8" name = "__codelineno-1-8" href = "#__codelineno-1-8" > < / a > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "o" > -> < / span > < span class = "n" > right< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-1-9" name = "__codelineno-1-9" href = "#__codelineno-1-9" > < / a > < span class = "w" > < / span > < span class = "c1" > // 目标节点在 cur 的左子树中< / span >
< a id = "__codelineno-1-10" name = "__codelineno-1-10" href = "#__codelineno-1-10" > < / a > < span class = "w" > < / span > < span class = "k" > else< / span > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > cur< / span > < span class = "o" > -> < / span > < span class = "n" > val< / span > < span class = "w" > < / span > < span class = "o" > > < / span > < span class = "w" > < / span > < span class = "n" > num< / span > < span class = "p" > )< / span >
< a id = "__codelineno-1-11" name = "__codelineno-1-11" href = "#__codelineno-1-11" > < / a > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "o" > -> < / span > < span class = "n" > left< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-1-12" name = "__codelineno-1-12" href = "#__codelineno-1-12" > < / a > < span class = "w" > < / span > < span class = "c1" > // 找到目标节点，跳出循环< / span >
< a id = "__codelineno-1-13" name = "__codelineno-1-13" href = "#__codelineno-1-13" > < / a > < span class = "w" > < / span > < span class = "k" > else< / span >
< a id = "__codelineno-1-14" name = "__codelineno-1-14" href = "#__codelineno-1-14" > < / a > < span class = "w" > < / span > < span class = "k" > break< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-1-15" name = "__codelineno-1-15" href = "#__codelineno-1-15" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-1-16" name = "__codelineno-1-16" href = "#__codelineno-1-16" > < / a > < span class = "w" > < / span > < span class = "c1" > // 返回目标节点< / span >
< a id = "__codelineno-1-17" name = "__codelineno-1-17" href = "#__codelineno-1-17" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-1-18" name = "__codelineno-1-18" href = "#__codelineno-1-18" > < / a > < span class = "p" > }< / span >
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< / code > < / pre > < / div >
< / div >
< div class = "tabbed-block" >
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< div class = "highlight" > < span class = "filename" > binary_search_tree.py< / span > < pre > < span > < / span > < code > < a id = "__codelineno-2-1" name = "__codelineno-2-1" href = "#__codelineno-2-1" > < / a > < span class = "k" > def< / span > < span class = "nf" > search< / span > < span class = "p" > (< / span > < span class = "bp" > self< / span > < span class = "p" > ,< / span > < span class = "n" > num< / span > < span class = "p" > :< / span > < span class = "nb" > int< / span > < span class = "p" > )< / span > < span class = "o" > -> < / span > < span class = "n" > TreeNode< / span > < span class = "o" > |< / span > < span class = "kc" > None< / span > < span class = "p" > :< / span >
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< a id = "__codelineno-2-2" name = "__codelineno-2-2" href = "#__codelineno-2-2" > < / a > < span class = "w" > < / span > < span class = "sd" > " " " 查找节点" " " < / span >
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< a id = "__codelineno-2-3" name = "__codelineno-2-3" href = "#__codelineno-2-3" > < / a > < span class = "n" > cur< / span > < span class = "p" > :< / span > < span class = "n" > TreeNode< / span > < span class = "o" > |< / span > < span class = "kc" > None< / span > < span class = "o" > =< / span > < span class = "bp" > self< / span > < span class = "o" > .< / span > < span class = "n" > root< / span >
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< a id = "__codelineno-2-4" name = "__codelineno-2-4" href = "#__codelineno-2-4" > < / a > < span class = "c1" > # 循环查找，越过叶节点后跳出< / span >
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< a id = "__codelineno-2-5" name = "__codelineno-2-5" href = "#__codelineno-2-5" > < / a > < span class = "k" > while< / span > < span class = "n" > cur< / span > < span class = "ow" > is< / span > < span class = "ow" > not< / span > < span class = "kc" > None< / span > < span class = "p" > :< / span >
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< a id = "__codelineno-2-6" name = "__codelineno-2-6" href = "#__codelineno-2-6" > < / a > < span class = "c1" > # 目标节点在 cur 的右子树中< / span >
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< a id = "__codelineno-2-7" name = "__codelineno-2-7" href = "#__codelineno-2-7" > < / a > < span class = "k" > if< / span > < span class = "n" > cur< / span > < span class = "o" > .< / span > < span class = "n" > val< / span > < span class = "o" > < < / span > < span class = "n" > num< / span > < span class = "p" > :< / span >
< a id = "__codelineno-2-8" name = "__codelineno-2-8" href = "#__codelineno-2-8" > < / a > < span class = "n" > cur< / span > < span class = "o" > =< / span > < span class = "n" > cur< / span > < span class = "o" > .< / span > < span class = "n" > right< / span >
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< a id = "__codelineno-2-9" name = "__codelineno-2-9" href = "#__codelineno-2-9" > < / a > < span class = "c1" > # 目标节点在 cur 的左子树中< / span >
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< a id = "__codelineno-2-10" name = "__codelineno-2-10" href = "#__codelineno-2-10" > < / a > < span class = "k" > elif< / span > < span class = "n" > cur< / span > < span class = "o" > .< / span > < span class = "n" > val< / span > < span class = "o" > > < / span > < span class = "n" > num< / span > < span class = "p" > :< / span >
< a id = "__codelineno-2-11" name = "__codelineno-2-11" href = "#__codelineno-2-11" > < / a > < span class = "n" > cur< / span > < span class = "o" > =< / span > < span class = "n" > cur< / span > < span class = "o" > .< / span > < span class = "n" > left< / span >
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< a id = "__codelineno-2-12" name = "__codelineno-2-12" href = "#__codelineno-2-12" > < / a > < span class = "c1" > # 找到目标节点，跳出循环< / span >
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< a id = "__codelineno-2-13" name = "__codelineno-2-13" href = "#__codelineno-2-13" > < / a > < span class = "k" > else< / span > < span class = "p" > :< / span >
< a id = "__codelineno-2-14" name = "__codelineno-2-14" href = "#__codelineno-2-14" > < / a > < span class = "k" > break< / span >
< a id = "__codelineno-2-15" name = "__codelineno-2-15" href = "#__codelineno-2-15" > < / a > < span class = "k" > return< / span > < span class = "n" > cur< / span >
< / code > < / pre > < / div >
< / div >
< div class = "tabbed-block" >
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< div class = "highlight" > < span class = "filename" > binary_search_tree.go< / span > < pre > < span > < / span > < code > < a id = "__codelineno-3-1" name = "__codelineno-3-1" href = "#__codelineno-3-1" > < / a > < span class = "cm" > /* 查找节点 */< / span >
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< a id = "__codelineno-3-2" name = "__codelineno-3-2" href = "#__codelineno-3-2" > < / a > < span class = "kd" > func< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "nx" > bst< / span > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "nx" > binarySearchTree< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "nx" > search< / span > < span class = "p" > (< / span > < span class = "nx" > num< / span > < span class = "w" > < / span > < span class = "kt" > int< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "nx" > TreeNode< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-3-3" name = "__codelineno-3-3" href = "#__codelineno-3-3" > < / a > < span class = "w" > < / span > < span class = "nx" > node< / span > < span class = "w" > < / span > < span class = "o" > :=< / span > < span class = "w" > < / span > < span class = "nx" > bst< / span > < span class = "p" > .< / span > < span class = "nx" > root< / span >
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< a id = "__codelineno-3-4" name = "__codelineno-3-4" href = "#__codelineno-3-4" > < / a > < span class = "w" > < / span > < span class = "c1" > // 循环查找，越过叶节点后跳出< / span >
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< a id = "__codelineno-3-5" name = "__codelineno-3-5" href = "#__codelineno-3-5" > < / a > < span class = "w" > < / span > < span class = "k" > for< / span > < span class = "w" > < / span > < span class = "nx" > node< / span > < span class = "w" > < / span > < span class = "o" > !=< / span > < span class = "w" > < / span > < span class = "kc" > nil< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-3-6" name = "__codelineno-3-6" href = "#__codelineno-3-6" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "nx" > node< / span > < span class = "p" > .< / span > < span class = "nx" > Val< / span > < span class = "w" > < / span > < span class = "p" > < < / span > < span class = "w" > < / span > < span class = "nx" > num< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
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< a id = "__codelineno-3-7" name = "__codelineno-3-7" href = "#__codelineno-3-7" > < / a > < span class = "w" > < / span > < span class = "c1" > // 目标节点在 cur 的右子树中< / span >
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< a id = "__codelineno-3-8" name = "__codelineno-3-8" href = "#__codelineno-3-8" > < / a > < span class = "w" > < / span > < span class = "nx" > node< / span > < span class = "w" > < / span > < span class = "p" > =< / span > < span class = "w" > < / span > < span class = "nx" > node< / span > < span class = "p" > .< / span > < span class = "nx" > Right< / span >
< a id = "__codelineno-3-9" name = "__codelineno-3-9" href = "#__codelineno-3-9" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span > < span class = "w" > < / span > < span class = "k" > else< / span > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "nx" > node< / span > < span class = "p" > .< / span > < span class = "nx" > Val< / span > < span class = "w" > < / span > < span class = "p" > > < / span > < span class = "w" > < / span > < span class = "nx" > num< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
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< a id = "__codelineno-3-10" name = "__codelineno-3-10" href = "#__codelineno-3-10" > < / a > < span class = "w" > < / span > < span class = "c1" > // 目标节点在 cur 的左子树中< / span >
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< a id = "__codelineno-3-11" name = "__codelineno-3-11" href = "#__codelineno-3-11" > < / a > < span class = "w" > < / span > < span class = "nx" > node< / span > < span class = "w" > < / span > < span class = "p" > =< / span > < span class = "w" > < / span > < span class = "nx" > node< / span > < span class = "p" > .< / span > < span class = "nx" > Left< / span >
< a id = "__codelineno-3-12" name = "__codelineno-3-12" href = "#__codelineno-3-12" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span > < span class = "w" > < / span > < span class = "k" > else< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
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< a id = "__codelineno-3-13" name = "__codelineno-3-13" href = "#__codelineno-3-13" > < / a > < span class = "w" > < / span > < span class = "c1" > // 找到目标节点，跳出循环< / span >
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< a id = "__codelineno-3-14" name = "__codelineno-3-14" href = "#__codelineno-3-14" > < / a > < span class = "w" > < / span > < span class = "k" > break< / span >
< a id = "__codelineno-3-15" name = "__codelineno-3-15" href = "#__codelineno-3-15" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-3-16" name = "__codelineno-3-16" href = "#__codelineno-3-16" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
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< a id = "__codelineno-3-17" name = "__codelineno-3-17" href = "#__codelineno-3-17" > < / a > < span class = "w" > < / span > < span class = "c1" > // 返回目标节点< / span >
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< a id = "__codelineno-3-18" name = "__codelineno-3-18" href = "#__codelineno-3-18" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "w" > < / span > < span class = "nx" > node< / span >
< a id = "__codelineno-3-19" name = "__codelineno-3-19" href = "#__codelineno-3-19" > < / a > < span class = "p" > }< / span >
< / code > < / pre > < / div >
< / div >
< div class = "tabbed-block" >
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< div class = "highlight" > < span class = "filename" > binary_search_tree.js< / span > < pre > < span > < / span > < code > < a id = "__codelineno-4-1" name = "__codelineno-4-1" href = "#__codelineno-4-1" > < / a > < span class = "cm" > /* 查找节点 */< / span >
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< a id = "__codelineno-4-2" name = "__codelineno-4-2" href = "#__codelineno-4-2" > < / a > < span class = "kd" > function< / span > < span class = "w" > < / span > < span class = "nx" > search< / span > < span class = "p" > (< / span > < span class = "nx" > num< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-4-3" name = "__codelineno-4-3" href = "#__codelineno-4-3" > < / a > < span class = "w" > < / span > < span class = "kd" > let< / span > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "nx" > root< / span > < span class = "p" > ;< / span >
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< a id = "__codelineno-4-4" name = "__codelineno-4-4" href = "#__codelineno-4-4" > < / a > < span class = "w" > < / span > < span class = "c1" > // 循环查找，越过叶节点后跳出< / span >
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< a id = "__codelineno-4-5" name = "__codelineno-4-5" href = "#__codelineno-4-5" > < / a > < span class = "w" > < / span > < span class = "k" > while< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "nx" > cur< / span > < span class = "w" > < / span > < span class = "o" > !==< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
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< a id = "__codelineno-4-6" name = "__codelineno-4-6" href = "#__codelineno-4-6" > < / a > < span class = "w" > < / span > < span class = "c1" > // 目标节点在 cur 的右子树中< / span >
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< a id = "__codelineno-4-7" name = "__codelineno-4-7" href = "#__codelineno-4-7" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "nx" > cur< / span > < span class = "p" > .< / span > < span class = "nx" > val< / span > < span class = "w" > < / span > < span class = "o" > < < / span > < span class = "w" > < / span > < span class = "nx" > num< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "p" > .< / span > < span class = "nx" > right< / span > < span class = "p" > ;< / span >
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< a id = "__codelineno-4-8" name = "__codelineno-4-8" href = "#__codelineno-4-8" > < / a > < span class = "w" > < / span > < span class = "c1" > // 目标节点在 cur 的左子树中< / span >
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< a id = "__codelineno-4-9" name = "__codelineno-4-9" href = "#__codelineno-4-9" > < / a > < span class = "w" > < / span > < span class = "k" > else< / span > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "nx" > cur< / span > < span class = "p" > .< / span > < span class = "nx" > val< / span > < span class = "w" > < / span > < span class = "o" > > < / span > < span class = "w" > < / span > < span class = "nx" > num< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "p" > .< / span > < span class = "nx" > left< / span > < span class = "p" > ;< / span >
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< a id = "__codelineno-4-10" name = "__codelineno-4-10" href = "#__codelineno-4-10" > < / a > < span class = "w" > < / span > < span class = "c1" > // 找到目标节点，跳出循环< / span >
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< a id = "__codelineno-4-11" name = "__codelineno-4-11" href = "#__codelineno-4-11" > < / a > < span class = "w" > < / span > < span class = "k" > else< / span > < span class = "w" > < / span > < span class = "k" > break< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-4-12" name = "__codelineno-4-12" href = "#__codelineno-4-12" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
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< a id = "__codelineno-4-13" name = "__codelineno-4-13" href = "#__codelineno-4-13" > < / a > < span class = "w" > < / span > < span class = "c1" > // 返回目标节点< / span >
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< a id = "__codelineno-4-14" name = "__codelineno-4-14" href = "#__codelineno-4-14" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-4-15" name = "__codelineno-4-15" href = "#__codelineno-4-15" > < / a > < span class = "p" > }< / span >
< / code > < / pre > < / div >
< / div >
< div class = "tabbed-block" >
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< div class = "highlight" > < span class = "filename" > binary_search_tree.ts< / span > < pre > < span > < / span > < code > < a id = "__codelineno-5-1" name = "__codelineno-5-1" href = "#__codelineno-5-1" > < / a > < span class = "cm" > /* 查找节点 */< / span >
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< a id = "__codelineno-5-2" name = "__codelineno-5-2" href = "#__codelineno-5-2" > < / a > < span class = "kd" > function< / span > < span class = "w" > < / span > < span class = "nx" > search< / span > < span class = "p" > (< / span > < span class = "nx" > num< / span > < span class = "o" > :< / span > < span class = "w" > < / span > < span class = "kt" > number< / span > < span class = "p" > )< / span > < span class = "o" > :< / span > < span class = "w" > < / span > < span class = "nx" > TreeNode< / span > < span class = "w" > < / span > < span class = "o" > |< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-5-3" name = "__codelineno-5-3" href = "#__codelineno-5-3" > < / a > < span class = "w" > < / span > < span class = "kd" > let< / span > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "nx" > root< / span > < span class = "p" > ;< / span >
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< a id = "__codelineno-5-4" name = "__codelineno-5-4" href = "#__codelineno-5-4" > < / a > < span class = "w" > < / span > < span class = "c1" > // 循环查找，越过叶节点后跳出< / span >
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< a id = "__codelineno-5-5" name = "__codelineno-5-5" href = "#__codelineno-5-5" > < / a > < span class = "w" > < / span > < span class = "k" > while< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "nx" > cur< / span > < span class = "w" > < / span > < span class = "o" > !==< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-5-6" name = "__codelineno-5-6" href = "#__codelineno-5-6" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "nx" > cur< / span > < span class = "p" > .< / span > < span class = "nx" > val< / span > < span class = "w" > < / span > < span class = "o" > < < / span > < span class = "w" > < / span > < span class = "nx" > num< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
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< a id = "__codelineno-5-7" name = "__codelineno-5-7" href = "#__codelineno-5-7" > < / a > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "p" > .< / span > < span class = "nx" > right< / span > < span class = "p" > ;< / span > < span class = "w" > < / span > < span class = "c1" > // 目标节点在 cur 的右子树中< / span >
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< a id = "__codelineno-5-8" name = "__codelineno-5-8" href = "#__codelineno-5-8" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span > < span class = "w" > < / span > < span class = "k" > else< / span > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "nx" > cur< / span > < span class = "p" > .< / span > < span class = "nx" > val< / span > < span class = "w" > < / span > < span class = "o" > > < / span > < span class = "w" > < / span > < span class = "nx" > num< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
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< a id = "__codelineno-5-9" name = "__codelineno-5-9" href = "#__codelineno-5-9" > < / a > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "p" > .< / span > < span class = "nx" > left< / span > < span class = "p" > ;< / span > < span class = "w" > < / span > < span class = "c1" > // 目标节点在 cur 的左子树中< / span >
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< a id = "__codelineno-5-10" name = "__codelineno-5-10" href = "#__codelineno-5-10" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span > < span class = "w" > < / span > < span class = "k" > else< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
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< a id = "__codelineno-5-11" name = "__codelineno-5-11" href = "#__codelineno-5-11" > < / a > < span class = "w" > < / span > < span class = "k" > break< / span > < span class = "p" > ;< / span > < span class = "w" > < / span > < span class = "c1" > // 找到目标节点，跳出循环< / span >
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< a id = "__codelineno-5-12" name = "__codelineno-5-12" href = "#__codelineno-5-12" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-5-13" name = "__codelineno-5-13" href = "#__codelineno-5-13" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
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< a id = "__codelineno-5-14" name = "__codelineno-5-14" href = "#__codelineno-5-14" > < / a > < span class = "w" > < / span > < span class = "c1" > // 返回目标节点< / span >
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< a id = "__codelineno-5-15" name = "__codelineno-5-15" href = "#__codelineno-5-15" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-5-16" name = "__codelineno-5-16" href = "#__codelineno-5-16" > < / a > < span class = "p" > }< / span >
< / code > < / pre > < / div >
< / div >
< div class = "tabbed-block" >
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< div class = "highlight" > < span class = "filename" > binary_search_tree.c< / span > < pre > < span > < / span > < code > < a id = "__codelineno-6-1" name = "__codelineno-6-1" href = "#__codelineno-6-1" > < / a > < span class = "cm" > /* 查找节点 */< / span >
< a id = "__codelineno-6-2" name = "__codelineno-6-2" href = "#__codelineno-6-2" > < / a > < span class = "n" > TreeNode< / span > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "nf" > search< / span > < span class = "p" > (< / span > < span class = "n" > binarySearchTree< / span > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "n" > bst< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "n" > num< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-6-3" name = "__codelineno-6-3" href = "#__codelineno-6-3" > < / a > < span class = "w" > < / span > < span class = "n" > TreeNode< / span > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > bst< / span > < span class = "o" > -> < / span > < span class = "n" > root< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-6-4" name = "__codelineno-6-4" href = "#__codelineno-6-4" > < / a > < span class = "w" > < / span > < span class = "c1" > // 循环查找，越过叶节点后跳出< / span >
< a id = "__codelineno-6-5" name = "__codelineno-6-5" href = "#__codelineno-6-5" > < / a > < span class = "w" > < / span > < span class = "k" > while< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > !=< / span > < span class = "w" > < / span > < span class = "nb" > NULL< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-6-6" name = "__codelineno-6-6" href = "#__codelineno-6-6" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > cur< / span > < span class = "o" > -> < / span > < span class = "n" > val< / span > < span class = "w" > < / span > < span class = "o" > < < / span > < span class = "w" > < / span > < span class = "n" > num< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-6-7" name = "__codelineno-6-7" href = "#__codelineno-6-7" > < / a > < span class = "w" > < / span > < span class = "c1" > // 目标节点在 cur 的右子树中< / span >
< a id = "__codelineno-6-8" name = "__codelineno-6-8" href = "#__codelineno-6-8" > < / a > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "o" > -> < / span > < span class = "n" > right< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-6-9" name = "__codelineno-6-9" href = "#__codelineno-6-9" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span > < span class = "w" > < / span > < span class = "k" > else< / span > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > cur< / span > < span class = "o" > -> < / span > < span class = "n" > val< / span > < span class = "w" > < / span > < span class = "o" > > < / span > < span class = "w" > < / span > < span class = "n" > num< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-6-10" name = "__codelineno-6-10" href = "#__codelineno-6-10" > < / a > < span class = "w" > < / span > < span class = "c1" > // 目标节点在 cur 的左子树中< / span >
< a id = "__codelineno-6-11" name = "__codelineno-6-11" href = "#__codelineno-6-11" > < / a > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "o" > -> < / span > < span class = "n" > left< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-6-12" name = "__codelineno-6-12" href = "#__codelineno-6-12" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span > < span class = "w" > < / span > < span class = "k" > else< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-6-13" name = "__codelineno-6-13" href = "#__codelineno-6-13" > < / a > < span class = "w" > < / span > < span class = "c1" > // 找到目标节点，跳出循环< / span >
< a id = "__codelineno-6-14" name = "__codelineno-6-14" href = "#__codelineno-6-14" > < / a > < span class = "w" > < / span > < span class = "k" > break< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-6-15" name = "__codelineno-6-15" href = "#__codelineno-6-15" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-6-16" name = "__codelineno-6-16" href = "#__codelineno-6-16" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-6-17" name = "__codelineno-6-17" href = "#__codelineno-6-17" > < / a > < span class = "w" > < / span > < span class = "c1" > // 返回目标节点< / span >
< a id = "__codelineno-6-18" name = "__codelineno-6-18" href = "#__codelineno-6-18" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-6-19" name = "__codelineno-6-19" href = "#__codelineno-6-19" > < / a > < span class = "p" > }< / span >
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< / code > < / pre > < / div >
< / div >
< div class = "tabbed-block" >
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< div class = "highlight" > < span class = "filename" > binary_search_tree.cs< / span > < pre > < span > < / span > < code > < a id = "__codelineno-7-1" name = "__codelineno-7-1" href = "#__codelineno-7-1" > < / a > < span class = "cm" > /* 查找节点 */< / span >
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< a id = "__codelineno-7-2" name = "__codelineno-7-2" href = "#__codelineno-7-2" > < / a > < span class = "n" > TreeNode< / span > < span class = "o" > ?< / span > < span class = "w" > < / span > < span class = "n" > search< / span > < span class = "p" > (< / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "n" > num< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-7-3" name = "__codelineno-7-3" href = "#__codelineno-7-3" > < / a > < span class = "w" > < / span > < span class = "n" > TreeNode< / span > < span class = "o" > ?< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > root< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-7-4" name = "__codelineno-7-4" href = "#__codelineno-7-4" > < / a > < span class = "w" > < / span > < span class = "c1" > // 循环查找，越过叶节点后跳出< / span >
< a id = "__codelineno-7-5" name = "__codelineno-7-5" href = "#__codelineno-7-5" > < / a > < span class = "w" > < / span > < span class = "k" > while< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > !=< / span > < span class = "w" > < / span > < span class = "k" > null< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-7-6" name = "__codelineno-7-6" href = "#__codelineno-7-6" > < / a > < span class = "w" > < / span > < span class = "c1" > // 目标节点在 cur 的右子树中< / span >
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< a id = "__codelineno-7-7" name = "__codelineno-7-7" href = "#__codelineno-7-7" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "n" > val< / span > < span class = "w" > < / span > < span class = "o" > < < / span > < span class = "w" > < / span > < span class = "n" > num< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span >
< a id = "__codelineno-7-8" name = "__codelineno-7-8" href = "#__codelineno-7-8" > < / a > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "n" > right< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-7-9" name = "__codelineno-7-9" href = "#__codelineno-7-9" > < / a > < span class = "w" > < / span > < span class = "c1" > // 目标节点在 cur 的左子树中< / span >
< a id = "__codelineno-7-10" name = "__codelineno-7-10" href = "#__codelineno-7-10" > < / a > < span class = "w" > < / span > < span class = "k" > else< / span > < span class = "w" > < / span > < span class = "nf" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "n" > val< / span > < span class = "w" > < / span > < span class = "o" > > < / span > < span class = "w" > < / span > < span class = "n" > num< / span > < span class = "p" > )< / span >
< a id = "__codelineno-7-11" name = "__codelineno-7-11" href = "#__codelineno-7-11" > < / a > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "n" > left< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-7-12" name = "__codelineno-7-12" href = "#__codelineno-7-12" > < / a > < span class = "w" > < / span > < span class = "c1" > // 找到目标节点，跳出循环< / span >
< a id = "__codelineno-7-13" name = "__codelineno-7-13" href = "#__codelineno-7-13" > < / a > < span class = "w" > < / span > < span class = "k" > else< / span >
< a id = "__codelineno-7-14" name = "__codelineno-7-14" href = "#__codelineno-7-14" > < / a > < span class = "w" > < / span > < span class = "k" > break< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-7-15" name = "__codelineno-7-15" href = "#__codelineno-7-15" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-7-16" name = "__codelineno-7-16" href = "#__codelineno-7-16" > < / a > < span class = "w" > < / span > < span class = "c1" > // 返回目标节点< / span >
< a id = "__codelineno-7-17" name = "__codelineno-7-17" href = "#__codelineno-7-17" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-7-18" name = "__codelineno-7-18" href = "#__codelineno-7-18" > < / a > < span class = "p" > }< / span >
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< / code > < / pre > < / div >
< / div >
< div class = "tabbed-block" >
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< div class = "highlight" > < span class = "filename" > binary_search_tree.swift< / span > < pre > < span > < / span > < code > < a id = "__codelineno-8-1" name = "__codelineno-8-1" href = "#__codelineno-8-1" > < / a > < span class = "cm" > /* 查找节点 */< / span >
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< a id = "__codelineno-8-2" name = "__codelineno-8-2" href = "#__codelineno-8-2" > < / a > < span class = "kd" > func< / span > < span class = "nf" > search< / span > < span class = "p" > (< / span > < span class = "n" > num< / span > < span class = "p" > :< / span > < span class = "nb" > Int< / span > < span class = "p" > )< / span > < span class = "p" > -> < / span > < span class = "n" > TreeNode< / span > < span class = "p" > ?< / span > < span class = "p" > {< / span >
< a id = "__codelineno-8-3" name = "__codelineno-8-3" href = "#__codelineno-8-3" > < / a > < span class = "kd" > var< / span > < span class = "nv" > cur< / span > < span class = "p" > =< / span > < span class = "n" > root< / span >
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< a id = "__codelineno-8-4" name = "__codelineno-8-4" href = "#__codelineno-8-4" > < / a > < span class = "c1" > // 循环查找，越过叶节点后跳出< / span >
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< a id = "__codelineno-8-5" name = "__codelineno-8-5" href = "#__codelineno-8-5" > < / a > < span class = "k" > while< / span > < span class = "n" > cur< / span > < span class = "o" > !=< / span > < span class = "kc" > nil< / span > < span class = "p" > {< / span >
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< a id = "__codelineno-8-6" name = "__codelineno-8-6" href = "#__codelineno-8-6" > < / a > < span class = "c1" > // 目标节点在 cur 的右子树中< / span >
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< a id = "__codelineno-8-7" name = "__codelineno-8-7" href = "#__codelineno-8-7" > < / a > < span class = "k" > if< / span > < span class = "n" > cur< / span > < span class = "p" > !.< / span > < span class = "n" > val< / span > < span class = "o" > < < / span > < span class = "n" > num< / span > < span class = "p" > {< / span >
< a id = "__codelineno-8-8" name = "__codelineno-8-8" href = "#__codelineno-8-8" > < / a > < span class = "n" > cur< / span > < span class = "p" > =< / span > < span class = "n" > cur< / span > < span class = "p" > ?.< / span > < span class = "kr" > right< / span >
< a id = "__codelineno-8-9" name = "__codelineno-8-9" href = "#__codelineno-8-9" > < / a > < span class = "p" > }< / span >
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< a id = "__codelineno-8-10" name = "__codelineno-8-10" href = "#__codelineno-8-10" > < / a > < span class = "c1" > // 目标节点在 cur 的左子树中< / span >
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< a id = "__codelineno-8-11" name = "__codelineno-8-11" href = "#__codelineno-8-11" > < / a > < span class = "k" > else< / span > < span class = "k" > if< / span > < span class = "n" > cur< / span > < span class = "p" > !.< / span > < span class = "n" > val< / span > < span class = "o" > > < / span > < span class = "n" > num< / span > < span class = "p" > {< / span >
< a id = "__codelineno-8-12" name = "__codelineno-8-12" href = "#__codelineno-8-12" > < / a > < span class = "n" > cur< / span > < span class = "p" > =< / span > < span class = "n" > cur< / span > < span class = "p" > ?.< / span > < span class = "kr" > left< / span >
< a id = "__codelineno-8-13" name = "__codelineno-8-13" href = "#__codelineno-8-13" > < / a > < span class = "p" > }< / span >
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< a id = "__codelineno-8-14" name = "__codelineno-8-14" href = "#__codelineno-8-14" > < / a > < span class = "c1" > // 找到目标节点，跳出循环< / span >
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< a id = "__codelineno-8-15" name = "__codelineno-8-15" href = "#__codelineno-8-15" > < / a > < span class = "k" > else< / span > < span class = "p" > {< / span >
< a id = "__codelineno-8-16" name = "__codelineno-8-16" href = "#__codelineno-8-16" > < / a > < span class = "k" > break< / span >
< a id = "__codelineno-8-17" name = "__codelineno-8-17" href = "#__codelineno-8-17" > < / a > < span class = "p" > }< / span >
< a id = "__codelineno-8-18" name = "__codelineno-8-18" href = "#__codelineno-8-18" > < / a > < span class = "p" > }< / span >
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< a id = "__codelineno-8-19" name = "__codelineno-8-19" href = "#__codelineno-8-19" > < / a > < span class = "c1" > // 返回目标节点< / span >
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< a id = "__codelineno-8-20" name = "__codelineno-8-20" href = "#__codelineno-8-20" > < / a > < span class = "k" > return< / span > < span class = "n" > cur< / span >
< a id = "__codelineno-8-21" name = "__codelineno-8-21" href = "#__codelineno-8-21" > < / a > < span class = "p" > }< / span >
< / code > < / pre > < / div >
< / div >
< div class = "tabbed-block" >
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< div class = "highlight" > < span class = "filename" > binary_search_tree.zig< / span > < pre > < span > < / span > < code > < a id = "__codelineno-9-1" name = "__codelineno-9-1" href = "#__codelineno-9-1" > < / a > < span class = "c1" > // 查找节点< / span >
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< a id = "__codelineno-9-2" name = "__codelineno-9-2" href = "#__codelineno-9-2" > < / a > < span class = "k" > fn< / span > < span class = "w" > < / span > < span class = "n" > search< / span > < span class = "p" > (< / span > < span class = "n" > self< / span > < span class = "o" > :< / span > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "n" > Self< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "n" > num< / span > < span class = "o" > :< / span > < span class = "w" > < / span > < span class = "n" > T< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "o" > ?*< / span > < span class = "n" > inc< / span > < span class = "p" > .< / span > < span class = "n" > TreeNode< / span > < span class = "p" > (< / span > < span class = "n" > T< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-9-3" name = "__codelineno-9-3" href = "#__codelineno-9-3" > < / a > < span class = "w" > < / span > < span class = "kr" > var< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > self< / span > < span class = "p" > .< / span > < span class = "n" > root< / span > < span class = "p" > ;< / span >
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< a id = "__codelineno-9-4" name = "__codelineno-9-4" href = "#__codelineno-9-4" > < / a > < span class = "w" > < / span > < span class = "c1" > // 循环查找，越过叶节点后跳出< / span >
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< a id = "__codelineno-9-5" name = "__codelineno-9-5" href = "#__codelineno-9-5" > < / a > < span class = "w" > < / span > < span class = "k" > while< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > !=< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
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< a id = "__codelineno-9-6" name = "__codelineno-9-6" href = "#__codelineno-9-6" > < / a > < span class = "w" > < / span > < span class = "c1" > // 目标节点在 cur 的右子树中< / span >
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< a id = "__codelineno-9-7" name = "__codelineno-9-7" href = "#__codelineno-9-7" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "o" > ?< / span > < span class = "p" > .< / span > < span class = "n" > val< / span > < span class = "w" > < / span > < span class = "o" > < < / span > < span class = "w" > < / span > < span class = "n" > num< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-9-8" name = "__codelineno-9-8" href = "#__codelineno-9-8" > < / a > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "o" > ?< / span > < span class = "p" > .< / span > < span class = "n" > right< / span > < span class = "p" > ;< / span >
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< a id = "__codelineno-9-9" name = "__codelineno-9-9" href = "#__codelineno-9-9" > < / a > < span class = "w" > < / span > < span class = "c1" > // 目标节点在 cur 的左子树中< / span >
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< a id = "__codelineno-9-10" name = "__codelineno-9-10" href = "#__codelineno-9-10" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span > < span class = "w" > < / span > < span class = "k" > else< / span > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "o" > ?< / span > < span class = "p" > .< / span > < span class = "n" > val< / span > < span class = "w" > < / span > < span class = "o" > > < / span > < span class = "w" > < / span > < span class = "n" > num< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-9-11" name = "__codelineno-9-11" href = "#__codelineno-9-11" > < / a > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "o" > ?< / span > < span class = "p" > .< / span > < span class = "n" > left< / span > < span class = "p" > ;< / span >
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< a id = "__codelineno-9-12" name = "__codelineno-9-12" href = "#__codelineno-9-12" > < / a > < span class = "w" > < / span > < span class = "c1" > // 找到目标节点，跳出循环< / span >
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< a id = "__codelineno-9-13" name = "__codelineno-9-13" href = "#__codelineno-9-13" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span > < span class = "w" > < / span > < span class = "k" > else< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-9-14" name = "__codelineno-9-14" href = "#__codelineno-9-14" > < / a > < span class = "w" > < / span > < span class = "k" > break< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-9-15" name = "__codelineno-9-15" href = "#__codelineno-9-15" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-9-16" name = "__codelineno-9-16" href = "#__codelineno-9-16" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
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< a id = "__codelineno-9-17" name = "__codelineno-9-17" href = "#__codelineno-9-17" > < / a > < span class = "w" > < / span > < span class = "c1" > // 返回目标节点< / span >
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< a id = "__codelineno-9-18" name = "__codelineno-9-18" href = "#__codelineno-9-18" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-9-19" name = "__codelineno-9-19" href = "#__codelineno-9-19" > < / a > < span class = "p" > }< / span >
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< / code > < / pre > < / div >
< / div >
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< div class = "tabbed-block" >
< div class = "highlight" > < span class = "filename" > binary_search_tree.dart< / span > < pre > < span > < / span > < code > < a id = "__codelineno-10-1" name = "__codelineno-10-1" href = "#__codelineno-10-1" > < / a > < span class = "p" > [< / span > < span class = "n" > class< / span > < span class = "p" > ]{< / span > < span class = "n" > BinarySearchTree< / span > < span class = "p" > }< / span > < span class = "o" > -< / span > < span class = "p" > [< / span > < span class = "n" > func< / span > < span class = "p" > ]{< / span > < span class = "n" > search< / span > < span class = "p" > }< / span >
< / code > < / pre > < / div >
< / div >
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< / div >
< / div >
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< h3 id = "_2" > 插入节点< a class = "headerlink" href = "#_2" title = "Permanent link" > ¶ < / a > < / h3 >
< p > 给定一个待插入元素 < code > num< / code > ，为了保持二叉搜索树“左子树 < 根节点 < 右子树”的性质，插入操作分为两步：< / p >
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< ol >
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< li > < strong > 查找插入位置< / strong > ：与查找操作相似，从根节点出发，根据当前节点值和 < code > num< / code > 的大小关系循环向下搜索，直到越过叶节点（遍历至 < span class = "arithmatex" > \(\text{None}\)< / span > ）时跳出循环；< / li >
< li > < strong > 在该位置插入节点< / strong > ：初始化节点 < code > num< / code > ，将该节点置于 < span class = "arithmatex" > \(\text{None}\)< / span > 的位置；< / li >
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< / ol >
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< p > 二叉搜索树不允许存在重复节点，否则将违反其定义。因此，若待插入节点在树中已存在，则不执行插入，直接返回。< / p >
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< p > < img alt = "在二叉搜索树中插入节点" src = "../binary_search_tree.assets/bst_insert.png" / > < / p >
< p align = "center" > Fig. 在二叉搜索树中插入节点 < / p >
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< div class = "tabbed-set tabbed-alternate" data-tabs = "3:11" > < input checked = "checked" id = "__tabbed_3_1" name = "__tabbed_3" type = "radio" / > < input id = "__tabbed_3_2" name = "__tabbed_3" type = "radio" / > < input id = "__tabbed_3_3" name = "__tabbed_3" type = "radio" / > < input id = "__tabbed_3_4" name = "__tabbed_3" type = "radio" / > < input id = "__tabbed_3_5" name = "__tabbed_3" type = "radio" / > < input id = "__tabbed_3_6" name = "__tabbed_3" type = "radio" / > < input id = "__tabbed_3_7" name = "__tabbed_3" type = "radio" / > < input id = "__tabbed_3_8" name = "__tabbed_3" type = "radio" / > < input id = "__tabbed_3_9" name = "__tabbed_3" type = "radio" / > < input id = "__tabbed_3_10" name = "__tabbed_3" type = "radio" / > < input id = "__tabbed_3_11" name = "__tabbed_3" type = "radio" / > < div class = "tabbed-labels" > < label for = "__tabbed_3_1" > Java< / label > < label for = "__tabbed_3_2" > C++< / label > < label for = "__tabbed_3_3" > Python< / label > < label for = "__tabbed_3_4" > Go< / label > < label for = "__tabbed_3_5" > JavaScript< / label > < label for = "__tabbed_3_6" > TypeScript< / label > < label for = "__tabbed_3_7" > C< / label > < label for = "__tabbed_3_8" > C#< / label > < label for = "__tabbed_3_9" > Swift< / label > < label for = "__tabbed_3_10" > Zig< / label > < label for = "__tabbed_3_11" > Dart< / label > < / div >
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< div class = "tabbed-content" >
< div class = "tabbed-block" >
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< div class = "highlight" > < span class = "filename" > binary_search_tree.java< / span > < pre > < span > < / span > < code > < a id = "__codelineno-11-1" name = "__codelineno-11-1" href = "#__codelineno-11-1" > < / a > < span class = "cm" > /* 插入节点 */< / span >
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< a id = "__codelineno-11-2" name = "__codelineno-11-2" href = "#__codelineno-11-2" > < / a > < span class = "kt" > void< / span > < span class = "w" > < / span > < span class = "nf" > insert< / span > < span class = "p" > (< / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "n" > num< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
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< a id = "__codelineno-11-3" name = "__codelineno-11-3" href = "#__codelineno-11-3" > < / a > < span class = "w" > < / span > < span class = "c1" > // 若树为空，直接提前返回< / span >
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< a id = "__codelineno-11-4" name = "__codelineno-11-4" href = "#__codelineno-11-4" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > root< / span > < span class = "w" > < / span > < span class = "o" > ==< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "p" > )< / span >
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< a id = "__codelineno-11-5" name = "__codelineno-11-5" href = "#__codelineno-11-5" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "p" > ;< / span >
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< a id = "__codelineno-11-6" name = "__codelineno-11-6" href = "#__codelineno-11-6" > < / a > < span class = "w" > < / span > < span class = "n" > TreeNode< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > root< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "n" > pre< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "p" > ;< / span >
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< a id = "__codelineno-11-7" name = "__codelineno-11-7" href = "#__codelineno-11-7" > < / a > < span class = "w" > < / span > < span class = "c1" > // 循环查找，越过叶节点后跳出< / span >
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< a id = "__codelineno-11-8" name = "__codelineno-11-8" href = "#__codelineno-11-8" > < / a > < span class = "w" > < / span > < span class = "k" > while< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > !=< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
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< a id = "__codelineno-11-9" name = "__codelineno-11-9" href = "#__codelineno-11-9" > < / a > < span class = "w" > < / span > < span class = "c1" > // 找到重复节点，直接返回< / span >
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< a id = "__codelineno-11-10" name = "__codelineno-11-10" href = "#__codelineno-11-10" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "na" > val< / span > < span class = "w" > < / span > < span class = "o" > ==< / span > < span class = "w" > < / span > < span class = "n" > num< / span > < span class = "p" > )< / span >
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< a id = "__codelineno-11-11" name = "__codelineno-11-11" href = "#__codelineno-11-11" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "p" > ;< / span >
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< a id = "__codelineno-11-12" name = "__codelineno-11-12" href = "#__codelineno-11-12" > < / a > < span class = "w" > < / span > < span class = "n" > pre< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-11-13" name = "__codelineno-11-13" href = "#__codelineno-11-13" > < / a > < span class = "w" > < / span > < span class = "c1" > // 插入位置在 cur 的右子树中< / span >
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< a id = "__codelineno-11-14" name = "__codelineno-11-14" href = "#__codelineno-11-14" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "na" > val< / span > < span class = "w" > < / span > < span class = "o" > < < / span > < span class = "w" > < / span > < span class = "n" > num< / span > < span class = "p" > )< / span >
< a id = "__codelineno-11-15" name = "__codelineno-11-15" href = "#__codelineno-11-15" > < / a > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "na" > right< / span > < span class = "p" > ;< / span >
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< a id = "__codelineno-11-16" name = "__codelineno-11-16" href = "#__codelineno-11-16" > < / a > < span class = "w" > < / span > < span class = "c1" > // 插入位置在 cur 的左子树中< / span >
< a id = "__codelineno-11-17" name = "__codelineno-11-17" href = "#__codelineno-11-17" > < / a > < span class = "w" > < / span > < span class = "k" > else< / span >
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< a id = "__codelineno-11-18" name = "__codelineno-11-18" href = "#__codelineno-11-18" > < / a > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "na" > left< / span > < span class = "p" > ;< / span >
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< a id = "__codelineno-11-19" name = "__codelineno-11-19" href = "#__codelineno-11-19" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
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< a id = "__codelineno-11-20" name = "__codelineno-11-20" href = "#__codelineno-11-20" > < / a > < span class = "w" > < / span > < span class = "c1" > // 插入节点< / span >
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< a id = "__codelineno-11-21" name = "__codelineno-11-21" href = "#__codelineno-11-21" > < / a > < span class = "w" > < / span > < span class = "n" > TreeNode< / span > < span class = "w" > < / span > < span class = "n" > node< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "k" > new< / span > < span class = "w" > < / span > < span class = "n" > TreeNode< / span > < span class = "p" > (< / span > < span class = "n" > num< / span > < span class = "p" > );< / span >
< a id = "__codelineno-11-22" name = "__codelineno-11-22" href = "#__codelineno-11-22" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > pre< / span > < span class = "p" > .< / span > < span class = "na" > val< / span > < span class = "w" > < / span > < span class = "o" > < < / span > < span class = "w" > < / span > < span class = "n" > num< / span > < span class = "p" > )< / span >
< a id = "__codelineno-11-23" name = "__codelineno-11-23" href = "#__codelineno-11-23" > < / a > < span class = "w" > < / span > < span class = "n" > pre< / span > < span class = "p" > .< / span > < span class = "na" > right< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > node< / span > < span class = "p" > ;< / span >
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< a id = "__codelineno-11-24" name = "__codelineno-11-24" href = "#__codelineno-11-24" > < / a > < span class = "w" > < / span > < span class = "k" > else< / span >
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< a id = "__codelineno-11-25" name = "__codelineno-11-25" href = "#__codelineno-11-25" > < / a > < span class = "w" > < / span > < span class = "n" > pre< / span > < span class = "p" > .< / span > < span class = "na" > left< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > node< / span > < span class = "p" > ;< / span >
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< a id = "__codelineno-11-26" name = "__codelineno-11-26" href = "#__codelineno-11-26" > < / a > < span class = "p" > }< / span >
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< / code > < / pre > < / div >
< / div >
< div class = "tabbed-block" >
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< div class = "highlight" > < span class = "filename" > binary_search_tree.cpp< / span > < pre > < span > < / span > < code > < a id = "__codelineno-12-1" name = "__codelineno-12-1" href = "#__codelineno-12-1" > < / a > < span class = "cm" > /* 插入节点 */< / span >
< a id = "__codelineno-12-2" name = "__codelineno-12-2" href = "#__codelineno-12-2" > < / a > < span class = "kt" > void< / span > < span class = "w" > < / span > < span class = "nf" > insert< / span > < span class = "p" > (< / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "n" > num< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-12-3" name = "__codelineno-12-3" href = "#__codelineno-12-3" > < / a > < span class = "w" > < / span > < span class = "c1" > // 若树为空，直接提前返回< / span >
< a id = "__codelineno-12-4" name = "__codelineno-12-4" href = "#__codelineno-12-4" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > root< / span > < span class = "w" > < / span > < span class = "o" > ==< / span > < span class = "w" > < / span > < span class = "k" > nullptr< / span > < span class = "p" > )< / span >
< a id = "__codelineno-12-5" name = "__codelineno-12-5" href = "#__codelineno-12-5" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-12-6" name = "__codelineno-12-6" href = "#__codelineno-12-6" > < / a > < span class = "w" > < / span > < span class = "n" > TreeNode< / span > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > root< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "n" > pre< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "k" > nullptr< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-12-7" name = "__codelineno-12-7" href = "#__codelineno-12-7" > < / a > < span class = "w" > < / span > < span class = "c1" > // 循环查找，越过叶节点后跳出< / span >
< a id = "__codelineno-12-8" name = "__codelineno-12-8" href = "#__codelineno-12-8" > < / a > < span class = "w" > < / span > < span class = "k" > while< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > !=< / span > < span class = "w" > < / span > < span class = "k" > nullptr< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-12-9" name = "__codelineno-12-9" href = "#__codelineno-12-9" > < / a > < span class = "w" > < / span > < span class = "c1" > // 找到重复节点，直接返回< / span >
< a id = "__codelineno-12-10" name = "__codelineno-12-10" href = "#__codelineno-12-10" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > cur< / span > < span class = "o" > -> < / span > < span class = "n" > val< / span > < span class = "w" > < / span > < span class = "o" > ==< / span > < span class = "w" > < / span > < span class = "n" > num< / span > < span class = "p" > )< / span >
< a id = "__codelineno-12-11" name = "__codelineno-12-11" href = "#__codelineno-12-11" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-12-12" name = "__codelineno-12-12" href = "#__codelineno-12-12" > < / a > < span class = "w" > < / span > < span class = "n" > pre< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-12-13" name = "__codelineno-12-13" href = "#__codelineno-12-13" > < / a > < span class = "w" > < / span > < span class = "c1" > // 插入位置在 cur 的右子树中< / span >
< a id = "__codelineno-12-14" name = "__codelineno-12-14" href = "#__codelineno-12-14" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > cur< / span > < span class = "o" > -> < / span > < span class = "n" > val< / span > < span class = "w" > < / span > < span class = "o" > < < / span > < span class = "w" > < / span > < span class = "n" > num< / span > < span class = "p" > )< / span >
< a id = "__codelineno-12-15" name = "__codelineno-12-15" href = "#__codelineno-12-15" > < / a > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "o" > -> < / span > < span class = "n" > right< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-12-16" name = "__codelineno-12-16" href = "#__codelineno-12-16" > < / a > < span class = "w" > < / span > < span class = "c1" > // 插入位置在 cur 的左子树中< / span >
< a id = "__codelineno-12-17" name = "__codelineno-12-17" href = "#__codelineno-12-17" > < / a > < span class = "w" > < / span > < span class = "k" > else< / span >
< a id = "__codelineno-12-18" name = "__codelineno-12-18" href = "#__codelineno-12-18" > < / a > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "o" > -> < / span > < span class = "n" > left< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-12-19" name = "__codelineno-12-19" href = "#__codelineno-12-19" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-12-20" name = "__codelineno-12-20" href = "#__codelineno-12-20" > < / a > < span class = "w" > < / span > < span class = "c1" > // 插入节点< / span >
< a id = "__codelineno-12-21" name = "__codelineno-12-21" href = "#__codelineno-12-21" > < / a > < span class = "w" > < / span > < span class = "n" > TreeNode< / span > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "n" > node< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "k" > new< / span > < span class = "w" > < / span > < span class = "n" > TreeNode< / span > < span class = "p" > (< / span > < span class = "n" > num< / span > < span class = "p" > );< / span >
< a id = "__codelineno-12-22" name = "__codelineno-12-22" href = "#__codelineno-12-22" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > pre< / span > < span class = "o" > -> < / span > < span class = "n" > val< / span > < span class = "w" > < / span > < span class = "o" > < < / span > < span class = "w" > < / span > < span class = "n" > num< / span > < span class = "p" > )< / span >
< a id = "__codelineno-12-23" name = "__codelineno-12-23" href = "#__codelineno-12-23" > < / a > < span class = "w" > < / span > < span class = "n" > pre< / span > < span class = "o" > -> < / span > < span class = "n" > right< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > node< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-12-24" name = "__codelineno-12-24" href = "#__codelineno-12-24" > < / a > < span class = "w" > < / span > < span class = "k" > else< / span >
< a id = "__codelineno-12-25" name = "__codelineno-12-25" href = "#__codelineno-12-25" > < / a > < span class = "w" > < / span > < span class = "n" > pre< / span > < span class = "o" > -> < / span > < span class = "n" > left< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > node< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-12-26" name = "__codelineno-12-26" href = "#__codelineno-12-26" > < / a > < span class = "p" > }< / span >
2023-02-08 14:54:41 +08:00
< / code > < / pre > < / div >
< / div >
< div class = "tabbed-block" >
2023-06-02 02:38:32 +08:00
< div class = "highlight" > < span class = "filename" > binary_search_tree.py< / span > < pre > < span > < / span > < code > < a id = "__codelineno-13-1" name = "__codelineno-13-1" href = "#__codelineno-13-1" > < / a > < span class = "k" > def< / span > < span class = "nf" > insert< / span > < span class = "p" > (< / span > < span class = "bp" > self< / span > < span class = "p" > ,< / span > < span class = "n" > num< / span > < span class = "p" > :< / span > < span class = "nb" > int< / span > < span class = "p" > )< / span > < span class = "o" > -> < / span > < span class = "kc" > None< / span > < span class = "p" > :< / span >
< a id = "__codelineno-13-2" name = "__codelineno-13-2" href = "#__codelineno-13-2" > < / a > < span class = "w" > < / span > < span class = "sd" > " " " 插入节点" " " < / span >
< a id = "__codelineno-13-3" name = "__codelineno-13-3" href = "#__codelineno-13-3" > < / a > < span class = "c1" > # 若树为空，直接提前返回< / span >
< a id = "__codelineno-13-4" name = "__codelineno-13-4" href = "#__codelineno-13-4" > < / a > < span class = "k" > if< / span > < span class = "bp" > self< / span > < span class = "o" > .< / span > < span class = "n" > root< / span > < span class = "ow" > is< / span > < span class = "kc" > None< / span > < span class = "p" > :< / span >
< a id = "__codelineno-13-5" name = "__codelineno-13-5" href = "#__codelineno-13-5" > < / a > < span class = "k" > return< / span >
< a id = "__codelineno-13-6" name = "__codelineno-13-6" href = "#__codelineno-13-6" > < / a >
< a id = "__codelineno-13-7" name = "__codelineno-13-7" href = "#__codelineno-13-7" > < / a > < span class = "c1" > # 循环查找，越过叶节点后跳出< / span >
< a id = "__codelineno-13-8" name = "__codelineno-13-8" href = "#__codelineno-13-8" > < / a > < span class = "n" > cur< / span > < span class = "p" > ,< / span > < span class = "n" > pre< / span > < span class = "o" > =< / span > < span class = "bp" > self< / span > < span class = "o" > .< / span > < span class = "n" > root< / span > < span class = "p" > ,< / span > < span class = "kc" > None< / span >
< a id = "__codelineno-13-9" name = "__codelineno-13-9" href = "#__codelineno-13-9" > < / a > < span class = "k" > while< / span > < span class = "n" > cur< / span > < span class = "ow" > is< / span > < span class = "ow" > not< / span > < span class = "kc" > None< / span > < span class = "p" > :< / span >
< a id = "__codelineno-13-10" name = "__codelineno-13-10" href = "#__codelineno-13-10" > < / a > < span class = "c1" > # 找到重复节点，直接返回< / span >
< a id = "__codelineno-13-11" name = "__codelineno-13-11" href = "#__codelineno-13-11" > < / a > < span class = "k" > if< / span > < span class = "n" > cur< / span > < span class = "o" > .< / span > < span class = "n" > val< / span > < span class = "o" > ==< / span > < span class = "n" > num< / span > < span class = "p" > :< / span >
< a id = "__codelineno-13-12" name = "__codelineno-13-12" href = "#__codelineno-13-12" > < / a > < span class = "k" > return< / span >
< a id = "__codelineno-13-13" name = "__codelineno-13-13" href = "#__codelineno-13-13" > < / a > < span class = "n" > pre< / span > < span class = "o" > =< / span > < span class = "n" > cur< / span >
< a id = "__codelineno-13-14" name = "__codelineno-13-14" href = "#__codelineno-13-14" > < / a > < span class = "c1" > # 插入位置在 cur 的右子树中< / span >
< a id = "__codelineno-13-15" name = "__codelineno-13-15" href = "#__codelineno-13-15" > < / a > < span class = "k" > if< / span > < span class = "n" > cur< / span > < span class = "o" > .< / span > < span class = "n" > val< / span > < span class = "o" > < < / span > < span class = "n" > num< / span > < span class = "p" > :< / span >
< a id = "__codelineno-13-16" name = "__codelineno-13-16" href = "#__codelineno-13-16" > < / a > < span class = "n" > cur< / span > < span class = "o" > =< / span > < span class = "n" > cur< / span > < span class = "o" > .< / span > < span class = "n" > right< / span >
< a id = "__codelineno-13-17" name = "__codelineno-13-17" href = "#__codelineno-13-17" > < / a > < span class = "c1" > # 插入位置在 cur 的左子树中< / span >
< a id = "__codelineno-13-18" name = "__codelineno-13-18" href = "#__codelineno-13-18" > < / a > < span class = "k" > else< / span > < span class = "p" > :< / span >
< a id = "__codelineno-13-19" name = "__codelineno-13-19" href = "#__codelineno-13-19" > < / a > < span class = "n" > cur< / span > < span class = "o" > =< / span > < span class = "n" > cur< / span > < span class = "o" > .< / span > < span class = "n" > left< / span >
< a id = "__codelineno-13-20" name = "__codelineno-13-20" href = "#__codelineno-13-20" > < / a >
< a id = "__codelineno-13-21" name = "__codelineno-13-21" href = "#__codelineno-13-21" > < / a > < span class = "c1" > # 插入节点< / span >
< a id = "__codelineno-13-22" name = "__codelineno-13-22" href = "#__codelineno-13-22" > < / a > < span class = "n" > node< / span > < span class = "o" > =< / span > < span class = "n" > TreeNode< / span > < span class = "p" > (< / span > < span class = "n" > num< / span > < span class = "p" > )< / span >
< a id = "__codelineno-13-23" name = "__codelineno-13-23" href = "#__codelineno-13-23" > < / a > < span class = "k" > if< / span > < span class = "n" > pre< / span > < span class = "o" > .< / span > < span class = "n" > val< / span > < span class = "o" > < < / span > < span class = "n" > num< / span > < span class = "p" > :< / span >
< a id = "__codelineno-13-24" name = "__codelineno-13-24" href = "#__codelineno-13-24" > < / a > < span class = "n" > pre< / span > < span class = "o" > .< / span > < span class = "n" > right< / span > < span class = "o" > =< / span > < span class = "n" > node< / span >
< a id = "__codelineno-13-25" name = "__codelineno-13-25" href = "#__codelineno-13-25" > < / a > < span class = "k" > else< / span > < span class = "p" > :< / span >
< a id = "__codelineno-13-26" name = "__codelineno-13-26" href = "#__codelineno-13-26" > < / a > < span class = "n" > pre< / span > < span class = "o" > .< / span > < span class = "n" > left< / span > < span class = "o" > =< / span > < span class = "n" > node< / span >
2023-02-08 14:54:41 +08:00
< / code > < / pre > < / div >
< / div >
< div class = "tabbed-block" >
2023-06-02 02:38:32 +08:00
< div class = "highlight" > < span class = "filename" > binary_search_tree.go< / span > < pre > < span > < / span > < code > < a id = "__codelineno-14-1" name = "__codelineno-14-1" href = "#__codelineno-14-1" > < / a > < span class = "cm" > /* 插入节点 */< / span >
< a id = "__codelineno-14-2" name = "__codelineno-14-2" href = "#__codelineno-14-2" > < / a > < span class = "kd" > func< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "nx" > bst< / span > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "nx" > binarySearchTree< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "nx" > insert< / span > < span class = "p" > (< / span > < span class = "nx" > num< / span > < span class = "w" > < / span > < span class = "kt" > int< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-14-3" name = "__codelineno-14-3" href = "#__codelineno-14-3" > < / a > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "w" > < / span > < span class = "o" > :=< / span > < span class = "w" > < / span > < span class = "nx" > bst< / span > < span class = "p" > .< / span > < span class = "nx" > root< / span >
< a id = "__codelineno-14-4" name = "__codelineno-14-4" href = "#__codelineno-14-4" > < / a > < span class = "w" > < / span > < span class = "c1" > // 若树为空，直接提前返回< / span >
< a id = "__codelineno-14-5" name = "__codelineno-14-5" href = "#__codelineno-14-5" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "w" > < / span > < span class = "o" > ==< / span > < span class = "w" > < / span > < span class = "kc" > nil< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-14-6" name = "__codelineno-14-6" href = "#__codelineno-14-6" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span >
< a id = "__codelineno-14-7" name = "__codelineno-14-7" href = "#__codelineno-14-7" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-14-8" name = "__codelineno-14-8" href = "#__codelineno-14-8" > < / a > < span class = "w" > < / span > < span class = "c1" > // 待插入节点之前的节点位置< / span >
< a id = "__codelineno-14-9" name = "__codelineno-14-9" href = "#__codelineno-14-9" > < / a > < span class = "w" > < / span > < span class = "kd" > var< / span > < span class = "w" > < / span > < span class = "nx" > pre< / span > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "nx" > TreeNode< / span > < span class = "w" > < / span > < span class = "p" > =< / span > < span class = "w" > < / span > < span class = "kc" > nil< / span >
< a id = "__codelineno-14-10" name = "__codelineno-14-10" href = "#__codelineno-14-10" > < / a > < span class = "w" > < / span > < span class = "c1" > // 循环查找，越过叶节点后跳出< / span >
< a id = "__codelineno-14-11" name = "__codelineno-14-11" href = "#__codelineno-14-11" > < / a > < span class = "w" > < / span > < span class = "k" > for< / span > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "w" > < / span > < span class = "o" > !=< / span > < span class = "w" > < / span > < span class = "kc" > nil< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-14-12" name = "__codelineno-14-12" href = "#__codelineno-14-12" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "p" > .< / span > < span class = "nx" > Val< / span > < span class = "w" > < / span > < span class = "o" > ==< / span > < span class = "w" > < / span > < span class = "nx" > num< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-14-13" name = "__codelineno-14-13" href = "#__codelineno-14-13" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span >
< a id = "__codelineno-14-14" name = "__codelineno-14-14" href = "#__codelineno-14-14" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-14-15" name = "__codelineno-14-15" href = "#__codelineno-14-15" > < / a > < span class = "w" > < / span > < span class = "nx" > pre< / span > < span class = "w" > < / span > < span class = "p" > =< / span > < span class = "w" > < / span > < span class = "nx" > cur< / span >
< a id = "__codelineno-14-16" name = "__codelineno-14-16" href = "#__codelineno-14-16" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "p" > .< / span > < span class = "nx" > Val< / span > < span class = "w" > < / span > < span class = "p" > < < / span > < span class = "w" > < / span > < span class = "nx" > num< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-14-17" name = "__codelineno-14-17" href = "#__codelineno-14-17" > < / a > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "w" > < / span > < span class = "p" > =< / span > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "p" > .< / span > < span class = "nx" > Right< / span >
< a id = "__codelineno-14-18" name = "__codelineno-14-18" href = "#__codelineno-14-18" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span > < span class = "w" > < / span > < span class = "k" > else< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-14-19" name = "__codelineno-14-19" href = "#__codelineno-14-19" > < / a > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "w" > < / span > < span class = "p" > =< / span > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "p" > .< / span > < span class = "nx" > Left< / span >
< a id = "__codelineno-14-20" name = "__codelineno-14-20" href = "#__codelineno-14-20" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-14-21" name = "__codelineno-14-21" href = "#__codelineno-14-21" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-14-22" name = "__codelineno-14-22" href = "#__codelineno-14-22" > < / a > < span class = "w" > < / span > < span class = "c1" > // 插入节点< / span >
< a id = "__codelineno-14-23" name = "__codelineno-14-23" href = "#__codelineno-14-23" > < / a > < span class = "w" > < / span > < span class = "nx" > node< / span > < span class = "w" > < / span > < span class = "o" > :=< / span > < span class = "w" > < / span > < span class = "nx" > NewTreeNode< / span > < span class = "p" > (< / span > < span class = "nx" > num< / span > < span class = "p" > )< / span >
< a id = "__codelineno-14-24" name = "__codelineno-14-24" href = "#__codelineno-14-24" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "nx" > pre< / span > < span class = "p" > .< / span > < span class = "nx" > Val< / span > < span class = "w" > < / span > < span class = "p" > < < / span > < span class = "w" > < / span > < span class = "nx" > num< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-14-25" name = "__codelineno-14-25" href = "#__codelineno-14-25" > < / a > < span class = "w" > < / span > < span class = "nx" > pre< / span > < span class = "p" > .< / span > < span class = "nx" > Right< / span > < span class = "w" > < / span > < span class = "p" > =< / span > < span class = "w" > < / span > < span class = "nx" > node< / span >
< a id = "__codelineno-14-26" name = "__codelineno-14-26" href = "#__codelineno-14-26" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span > < span class = "w" > < / span > < span class = "k" > else< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-14-27" name = "__codelineno-14-27" href = "#__codelineno-14-27" > < / a > < span class = "w" > < / span > < span class = "nx" > pre< / span > < span class = "p" > .< / span > < span class = "nx" > Left< / span > < span class = "w" > < / span > < span class = "p" > =< / span > < span class = "w" > < / span > < span class = "nx" > node< / span >
< a id = "__codelineno-14-28" name = "__codelineno-14-28" href = "#__codelineno-14-28" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-14-29" name = "__codelineno-14-29" href = "#__codelineno-14-29" > < / a > < span class = "p" > }< / span >
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< / code > < / pre > < / div >
< / div >
< div class = "tabbed-block" >
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< div class = "highlight" > < span class = "filename" > binary_search_tree.js< / span > < pre > < span > < / span > < code > < a id = "__codelineno-15-1" name = "__codelineno-15-1" href = "#__codelineno-15-1" > < / a > < span class = "cm" > /* 插入节点 */< / span >
< a id = "__codelineno-15-2" name = "__codelineno-15-2" href = "#__codelineno-15-2" > < / a > < span class = "kd" > function< / span > < span class = "w" > < / span > < span class = "nx" > insert< / span > < span class = "p" > (< / span > < span class = "nx" > num< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
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< a id = "__codelineno-15-3" name = "__codelineno-15-3" href = "#__codelineno-15-3" > < / a > < span class = "w" > < / span > < span class = "c1" > // 若树为空，直接提前返回< / span >
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< a id = "__codelineno-15-4" name = "__codelineno-15-4" href = "#__codelineno-15-4" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "nx" > root< / span > < span class = "w" > < / span > < span class = "o" > ===< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-15-5" name = "__codelineno-15-5" href = "#__codelineno-15-5" > < / a > < span class = "w" > < / span > < span class = "kd" > let< / span > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "nx" > root< / span > < span class = "p" > ,< / span >
< a id = "__codelineno-15-6" name = "__codelineno-15-6" href = "#__codelineno-15-6" > < / a > < span class = "w" > < / span > < span class = "nx" > pre< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-15-7" name = "__codelineno-15-7" href = "#__codelineno-15-7" > < / a > < span class = "w" > < / span > < span class = "c1" > // 循环查找，越过叶节点后跳出< / span >
< a id = "__codelineno-15-8" name = "__codelineno-15-8" href = "#__codelineno-15-8" > < / a > < span class = "w" > < / span > < span class = "k" > while< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "nx" > cur< / span > < span class = "w" > < / span > < span class = "o" > !==< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-15-9" name = "__codelineno-15-9" href = "#__codelineno-15-9" > < / a > < span class = "w" > < / span > < span class = "c1" > // 找到重复节点，直接返回< / span >
< a id = "__codelineno-15-10" name = "__codelineno-15-10" href = "#__codelineno-15-10" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "nx" > cur< / span > < span class = "p" > .< / span > < span class = "nx" > val< / span > < span class = "w" > < / span > < span class = "o" > ===< / span > < span class = "w" > < / span > < span class = "nx" > num< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-15-11" name = "__codelineno-15-11" href = "#__codelineno-15-11" > < / a > < span class = "w" > < / span > < span class = "nx" > pre< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-15-12" name = "__codelineno-15-12" href = "#__codelineno-15-12" > < / a > < span class = "w" > < / span > < span class = "c1" > // 插入位置在 cur 的右子树中< / span >
< a id = "__codelineno-15-13" name = "__codelineno-15-13" href = "#__codelineno-15-13" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "nx" > cur< / span > < span class = "p" > .< / span > < span class = "nx" > val< / span > < span class = "w" > < / span > < span class = "o" > < < / span > < span class = "w" > < / span > < span class = "nx" > num< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "p" > .< / span > < span class = "nx" > right< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-15-14" name = "__codelineno-15-14" href = "#__codelineno-15-14" > < / a > < span class = "w" > < / span > < span class = "c1" > // 插入位置在 cur 的左子树中< / span >
< a id = "__codelineno-15-15" name = "__codelineno-15-15" href = "#__codelineno-15-15" > < / a > < span class = "w" > < / span > < span class = "k" > else< / span > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "p" > .< / span > < span class = "nx" > left< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-15-16" name = "__codelineno-15-16" href = "#__codelineno-15-16" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-15-17" name = "__codelineno-15-17" href = "#__codelineno-15-17" > < / a > < span class = "w" > < / span > < span class = "c1" > // 插入节点< / span >
< a id = "__codelineno-15-18" name = "__codelineno-15-18" href = "#__codelineno-15-18" > < / a > < span class = "w" > < / span > < span class = "kd" > let< / span > < span class = "w" > < / span > < span class = "nx" > node< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "ow" > new< / span > < span class = "w" > < / span > < span class = "nx" > TreeNode< / span > < span class = "p" > (< / span > < span class = "nx" > num< / span > < span class = "p" > );< / span >
< a id = "__codelineno-15-19" name = "__codelineno-15-19" href = "#__codelineno-15-19" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "nx" > pre< / span > < span class = "p" > .< / span > < span class = "nx" > val< / span > < span class = "w" > < / span > < span class = "o" > < < / span > < span class = "w" > < / span > < span class = "nx" > num< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "nx" > pre< / span > < span class = "p" > .< / span > < span class = "nx" > right< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "nx" > node< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-15-20" name = "__codelineno-15-20" href = "#__codelineno-15-20" > < / a > < span class = "w" > < / span > < span class = "k" > else< / span > < span class = "w" > < / span > < span class = "nx" > pre< / span > < span class = "p" > .< / span > < span class = "nx" > left< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "nx" > node< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-15-21" name = "__codelineno-15-21" href = "#__codelineno-15-21" > < / a > < span class = "p" > }< / span >
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< / code > < / pre > < / div >
< / div >
< div class = "tabbed-block" >
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< div class = "highlight" > < span class = "filename" > binary_search_tree.ts< / span > < pre > < span > < / span > < code > < a id = "__codelineno-16-1" name = "__codelineno-16-1" href = "#__codelineno-16-1" > < / a > < span class = "cm" > /* 插入节点 */< / span >
< a id = "__codelineno-16-2" name = "__codelineno-16-2" href = "#__codelineno-16-2" > < / a > < span class = "kd" > function< / span > < span class = "w" > < / span > < span class = "nx" > insert< / span > < span class = "p" > (< / span > < span class = "nx" > num< / span > < span class = "o" > :< / span > < span class = "w" > < / span > < span class = "kt" > number< / span > < span class = "p" > )< / span > < span class = "o" > :< / span > < span class = "w" > < / span > < span class = "ow" > void< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
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< a id = "__codelineno-16-3" name = "__codelineno-16-3" href = "#__codelineno-16-3" > < / a > < span class = "w" > < / span > < span class = "c1" > // 若树为空，直接提前返回< / span >
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< a id = "__codelineno-16-4" name = "__codelineno-16-4" href = "#__codelineno-16-4" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "nx" > root< / span > < span class = "w" > < / span > < span class = "o" > ===< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
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< a id = "__codelineno-16-5" name = "__codelineno-16-5" href = "#__codelineno-16-5" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "p" > ;< / span >
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< a id = "__codelineno-16-6" name = "__codelineno-16-6" href = "#__codelineno-16-6" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-16-7" name = "__codelineno-16-7" href = "#__codelineno-16-7" > < / a > < span class = "w" > < / span > < span class = "kd" > let< / span > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "nx" > root< / span > < span class = "p" > ,< / span >
< a id = "__codelineno-16-8" name = "__codelineno-16-8" href = "#__codelineno-16-8" > < / a > < span class = "w" > < / span > < span class = "nx" > pre< / span > < span class = "o" > :< / span > < span class = "w" > < / span > < span class = "kt" > TreeNode< / span > < span class = "w" > < / span > < span class = "o" > |< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-16-9" name = "__codelineno-16-9" href = "#__codelineno-16-9" > < / a > < span class = "w" > < / span > < span class = "c1" > // 循环查找，越过叶节点后跳出< / span >
< a id = "__codelineno-16-10" name = "__codelineno-16-10" href = "#__codelineno-16-10" > < / a > < span class = "w" > < / span > < span class = "k" > while< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "nx" > cur< / span > < span class = "w" > < / span > < span class = "o" > !==< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-16-11" name = "__codelineno-16-11" href = "#__codelineno-16-11" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "nx" > cur< / span > < span class = "p" > .< / span > < span class = "nx" > val< / span > < span class = "w" > < / span > < span class = "o" > ===< / span > < span class = "w" > < / span > < span class = "nx" > num< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-16-12" name = "__codelineno-16-12" href = "#__codelineno-16-12" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "p" > ;< / span > < span class = "w" > < / span > < span class = "c1" > // 找到重复节点，直接返回< / span >
< a id = "__codelineno-16-13" name = "__codelineno-16-13" href = "#__codelineno-16-13" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-16-14" name = "__codelineno-16-14" href = "#__codelineno-16-14" > < / a > < span class = "w" > < / span > < span class = "nx" > pre< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-16-15" name = "__codelineno-16-15" href = "#__codelineno-16-15" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "nx" > cur< / span > < span class = "p" > .< / span > < span class = "nx" > val< / span > < span class = "w" > < / span > < span class = "o" > < < / span > < span class = "w" > < / span > < span class = "nx" > num< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-16-16" name = "__codelineno-16-16" href = "#__codelineno-16-16" > < / a > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "p" > .< / span > < span class = "nx" > right< / span > < span class = "w" > < / span > < span class = "kr" > as< / span > < span class = "w" > < / span > < span class = "nx" > TreeNode< / span > < span class = "p" > ;< / span > < span class = "w" > < / span > < span class = "c1" > // 插入位置在 cur 的右子树中< / span >
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< a id = "__codelineno-16-17" name = "__codelineno-16-17" href = "#__codelineno-16-17" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span > < span class = "w" > < / span > < span class = "k" > else< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
2023-06-02 02:38:32 +08:00
< a id = "__codelineno-16-18" name = "__codelineno-16-18" href = "#__codelineno-16-18" > < / a > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "p" > .< / span > < span class = "nx" > left< / span > < span class = "w" > < / span > < span class = "kr" > as< / span > < span class = "w" > < / span > < span class = "nx" > TreeNode< / span > < span class = "p" > ;< / span > < span class = "w" > < / span > < span class = "c1" > // 插入位置在 cur 的左子树中< / span >
< a id = "__codelineno-16-19" name = "__codelineno-16-19" href = "#__codelineno-16-19" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-16-20" name = "__codelineno-16-20" href = "#__codelineno-16-20" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-16-21" name = "__codelineno-16-21" href = "#__codelineno-16-21" > < / a > < span class = "w" > < / span > < span class = "c1" > // 插入节点< / span >
< a id = "__codelineno-16-22" name = "__codelineno-16-22" href = "#__codelineno-16-22" > < / a > < span class = "w" > < / span > < span class = "kd" > let< / span > < span class = "w" > < / span > < span class = "nx" > node< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "ow" > new< / span > < span class = "w" > < / span > < span class = "nx" > TreeNode< / span > < span class = "p" > (< / span > < span class = "nx" > num< / span > < span class = "p" > );< / span >
< a id = "__codelineno-16-23" name = "__codelineno-16-23" href = "#__codelineno-16-23" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "nx" > pre< / span > < span class = "o" > !< / span > < span class = "p" > .< / span > < span class = "nx" > val< / span > < span class = "w" > < / span > < span class = "o" > < < / span > < span class = "w" > < / span > < span class = "nx" > num< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-16-24" name = "__codelineno-16-24" href = "#__codelineno-16-24" > < / a > < span class = "w" > < / span > < span class = "nx" > pre< / span > < span class = "o" > !< / span > < span class = "p" > .< / span > < span class = "nx" > right< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "nx" > node< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-16-25" name = "__codelineno-16-25" href = "#__codelineno-16-25" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span > < span class = "w" > < / span > < span class = "k" > else< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-16-26" name = "__codelineno-16-26" href = "#__codelineno-16-26" > < / a > < span class = "w" > < / span > < span class = "nx" > pre< / span > < span class = "o" > !< / span > < span class = "p" > .< / span > < span class = "nx" > left< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "nx" > node< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-16-27" name = "__codelineno-16-27" href = "#__codelineno-16-27" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-16-28" name = "__codelineno-16-28" href = "#__codelineno-16-28" > < / a > < span class = "p" > }< / span >
2023-02-08 14:54:41 +08:00
< / code > < / pre > < / div >
< / div >
< div class = "tabbed-block" >
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< div class = "highlight" > < span class = "filename" > binary_search_tree.c< / span > < pre > < span > < / span > < code > < a id = "__codelineno-17-1" name = "__codelineno-17-1" href = "#__codelineno-17-1" > < / a > < span class = "cm" > /* 插入节点 */< / span >
< a id = "__codelineno-17-2" name = "__codelineno-17-2" href = "#__codelineno-17-2" > < / a > < span class = "kt" > void< / span > < span class = "w" > < / span > < span class = "nf" > insert< / span > < span class = "p" > (< / span > < span class = "n" > binarySearchTree< / span > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "n" > bst< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "n" > num< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
2023-04-23 14:58:11 +08:00
< a id = "__codelineno-17-3" name = "__codelineno-17-3" href = "#__codelineno-17-3" > < / a > < span class = "w" > < / span > < span class = "c1" > // 若树为空，直接提前返回< / span >
2023-06-02 02:38:32 +08:00
< a id = "__codelineno-17-4" name = "__codelineno-17-4" href = "#__codelineno-17-4" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > bst< / span > < span class = "o" > -> < / span > < span class = "n" > root< / span > < span class = "w" > < / span > < span class = "o" > ==< / span > < span class = "w" > < / span > < span class = "nb" > NULL< / span > < span class = "p" > )< / span >
2023-05-26 20:37:56 +08:00
< a id = "__codelineno-17-5" name = "__codelineno-17-5" href = "#__codelineno-17-5" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "p" > ;< / span >
2023-06-02 02:38:32 +08:00
< a id = "__codelineno-17-6" name = "__codelineno-17-6" href = "#__codelineno-17-6" > < / a > < span class = "w" > < / span > < span class = "n" > TreeNode< / span > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > bst< / span > < span class = "o" > -> < / span > < span class = "n" > root< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "n" > pre< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "nb" > NULL< / span > < span class = "p" > ;< / span >
2023-05-26 20:37:56 +08:00
< a id = "__codelineno-17-7" name = "__codelineno-17-7" href = "#__codelineno-17-7" > < / a > < span class = "w" > < / span > < span class = "c1" > // 循环查找，越过叶节点后跳出< / span >
2023-06-02 02:38:32 +08:00
< a id = "__codelineno-17-8" name = "__codelineno-17-8" href = "#__codelineno-17-8" > < / a > < span class = "w" > < / span > < span class = "k" > while< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > !=< / span > < span class = "w" > < / span > < span class = "nb" > NULL< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
2023-05-26 20:37:56 +08:00
< a id = "__codelineno-17-9" name = "__codelineno-17-9" href = "#__codelineno-17-9" > < / a > < span class = "w" > < / span > < span class = "c1" > // 找到重复节点，直接返回< / span >
2023-06-02 02:38:32 +08:00
< a id = "__codelineno-17-10" name = "__codelineno-17-10" href = "#__codelineno-17-10" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > cur< / span > < span class = "o" > -> < / span > < span class = "n" > val< / span > < span class = "w" > < / span > < span class = "o" > ==< / span > < span class = "w" > < / span > < span class = "n" > num< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
2023-05-26 20:37:56 +08:00
< a id = "__codelineno-17-11" name = "__codelineno-17-11" href = "#__codelineno-17-11" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "p" > ;< / span >
2023-06-02 02:38:32 +08:00
< a id = "__codelineno-17-12" name = "__codelineno-17-12" href = "#__codelineno-17-12" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-17-13" name = "__codelineno-17-13" href = "#__codelineno-17-13" > < / a > < span class = "w" > < / span > < span class = "n" > pre< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-17-14" name = "__codelineno-17-14" href = "#__codelineno-17-14" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > cur< / span > < span class = "o" > -> < / span > < span class = "n" > val< / span > < span class = "w" > < / span > < span class = "o" > < < / span > < span class = "w" > < / span > < span class = "n" > num< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-17-15" name = "__codelineno-17-15" href = "#__codelineno-17-15" > < / a > < span class = "w" > < / span > < span class = "c1" > // 插入位置在 cur 的右子树中< / span >
< a id = "__codelineno-17-16" name = "__codelineno-17-16" href = "#__codelineno-17-16" > < / a > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "o" > -> < / span > < span class = "n" > right< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-17-17" name = "__codelineno-17-17" href = "#__codelineno-17-17" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span > < span class = "w" > < / span > < span class = "k" > else< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-17-18" name = "__codelineno-17-18" href = "#__codelineno-17-18" > < / a > < span class = "w" > < / span > < span class = "c1" > // 插入位置在 cur 的左子树中< / span >
< a id = "__codelineno-17-19" name = "__codelineno-17-19" href = "#__codelineno-17-19" > < / a > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "o" > -> < / span > < span class = "n" > left< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-17-20" name = "__codelineno-17-20" href = "#__codelineno-17-20" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-17-21" name = "__codelineno-17-21" href = "#__codelineno-17-21" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-17-22" name = "__codelineno-17-22" href = "#__codelineno-17-22" > < / a > < span class = "w" > < / span > < span class = "c1" > // 插入节点< / span >
< a id = "__codelineno-17-23" name = "__codelineno-17-23" href = "#__codelineno-17-23" > < / a > < span class = "w" > < / span > < span class = "n" > TreeNode< / span > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "n" > node< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > newTreeNode< / span > < span class = "p" > (< / span > < span class = "n" > num< / span > < span class = "p" > );< / span >
< a id = "__codelineno-17-24" name = "__codelineno-17-24" href = "#__codelineno-17-24" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > pre< / span > < span class = "o" > -> < / span > < span class = "n" > val< / span > < span class = "w" > < / span > < span class = "o" > < < / span > < span class = "w" > < / span > < span class = "n" > num< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-17-25" name = "__codelineno-17-25" href = "#__codelineno-17-25" > < / a > < span class = "w" > < / span > < span class = "n" > pre< / span > < span class = "o" > -> < / span > < span class = "n" > right< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > node< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-17-26" name = "__codelineno-17-26" href = "#__codelineno-17-26" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span > < span class = "w" > < / span > < span class = "k" > else< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-17-27" name = "__codelineno-17-27" href = "#__codelineno-17-27" > < / a > < span class = "w" > < / span > < span class = "n" > pre< / span > < span class = "o" > -> < / span > < span class = "n" > left< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > node< / span > < span class = "p" > ;< / span >
2023-05-26 20:37:56 +08:00
< a id = "__codelineno-17-28" name = "__codelineno-17-28" href = "#__codelineno-17-28" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-17-29" name = "__codelineno-17-29" href = "#__codelineno-17-29" > < / a > < span class = "p" > }< / span >
2023-02-08 14:54:41 +08:00
< / code > < / pre > < / div >
< / div >
< div class = "tabbed-block" >
2023-06-02 02:38:32 +08:00
< div class = "highlight" > < span class = "filename" > binary_search_tree.cs< / span > < pre > < span > < / span > < code > < a id = "__codelineno-18-1" name = "__codelineno-18-1" href = "#__codelineno-18-1" > < / a > < span class = "cm" > /* 插入节点 */< / span >
< a id = "__codelineno-18-2" name = "__codelineno-18-2" href = "#__codelineno-18-2" > < / a > < span class = "k" > void< / span > < span class = "w" > < / span > < span class = "nf" > insert< / span > < span class = "p" > (< / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "n" > num< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-18-3" name = "__codelineno-18-3" href = "#__codelineno-18-3" > < / a > < span class = "w" > < / span > < span class = "c1" > // 若树为空，直接提前返回< / span >
< a id = "__codelineno-18-4" name = "__codelineno-18-4" href = "#__codelineno-18-4" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > root< / span > < span class = "w" > < / span > < span class = "o" > ==< / span > < span class = "w" > < / span > < span class = "k" > null< / span > < span class = "p" > )< / span >
< a id = "__codelineno-18-5" name = "__codelineno-18-5" href = "#__codelineno-18-5" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-18-6" name = "__codelineno-18-6" href = "#__codelineno-18-6" > < / a > < span class = "w" > < / span > < span class = "n" > TreeNode< / span > < span class = "o" > ?< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > root< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "n" > pre< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "k" > null< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-18-7" name = "__codelineno-18-7" href = "#__codelineno-18-7" > < / a > < span class = "w" > < / span > < span class = "c1" > // 循环查找，越过叶节点后跳出< / span >
< a id = "__codelineno-18-8" name = "__codelineno-18-8" href = "#__codelineno-18-8" > < / a > < span class = "w" > < / span > < span class = "k" > while< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > !=< / span > < span class = "w" > < / span > < span class = "k" > null< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-18-9" name = "__codelineno-18-9" href = "#__codelineno-18-9" > < / a > < span class = "w" > < / span > < span class = "c1" > // 找到重复节点，直接返回< / span >
< a id = "__codelineno-18-10" name = "__codelineno-18-10" href = "#__codelineno-18-10" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "n" > val< / span > < span class = "w" > < / span > < span class = "o" > ==< / span > < span class = "w" > < / span > < span class = "n" > num< / span > < span class = "p" > )< / span >
< a id = "__codelineno-18-11" name = "__codelineno-18-11" href = "#__codelineno-18-11" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-18-12" name = "__codelineno-18-12" href = "#__codelineno-18-12" > < / a > < span class = "w" > < / span > < span class = "n" > pre< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-18-13" name = "__codelineno-18-13" href = "#__codelineno-18-13" > < / a > < span class = "w" > < / span > < span class = "c1" > // 插入位置在 cur 的右子树中< / span >
< a id = "__codelineno-18-14" name = "__codelineno-18-14" href = "#__codelineno-18-14" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "n" > val< / span > < span class = "w" > < / span > < span class = "o" > < < / span > < span class = "w" > < / span > < span class = "n" > num< / span > < span class = "p" > )< / span >
< a id = "__codelineno-18-15" name = "__codelineno-18-15" href = "#__codelineno-18-15" > < / a > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "n" > right< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-18-16" name = "__codelineno-18-16" href = "#__codelineno-18-16" > < / a > < span class = "w" > < / span > < span class = "c1" > // 插入位置在 cur 的左子树中< / span >
< a id = "__codelineno-18-17" name = "__codelineno-18-17" href = "#__codelineno-18-17" > < / a > < span class = "w" > < / span > < span class = "k" > else< / span >
< a id = "__codelineno-18-18" name = "__codelineno-18-18" href = "#__codelineno-18-18" > < / a > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "n" > left< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-18-19" name = "__codelineno-18-19" href = "#__codelineno-18-19" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-18-20" name = "__codelineno-18-20" href = "#__codelineno-18-20" > < / a >
< a id = "__codelineno-18-21" name = "__codelineno-18-21" href = "#__codelineno-18-21" > < / a > < span class = "w" > < / span > < span class = "c1" > // 插入节点< / span >
< a id = "__codelineno-18-22" name = "__codelineno-18-22" href = "#__codelineno-18-22" > < / a > < span class = "w" > < / span > < span class = "n" > TreeNode< / span > < span class = "w" > < / span > < span class = "n" > node< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "k" > new< / span > < span class = "w" > < / span > < span class = "n" > TreeNode< / span > < span class = "p" > (< / span > < span class = "n" > num< / span > < span class = "p" > );< / span >
< a id = "__codelineno-18-23" name = "__codelineno-18-23" href = "#__codelineno-18-23" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > pre< / span > < span class = "w" > < / span > < span class = "o" > !=< / span > < span class = "w" > < / span > < span class = "k" > null< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-18-24" name = "__codelineno-18-24" href = "#__codelineno-18-24" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > pre< / span > < span class = "p" > .< / span > < span class = "n" > val< / span > < span class = "w" > < / span > < span class = "o" > < < / span > < span class = "w" > < / span > < span class = "n" > num< / span > < span class = "p" > )< / span >
< a id = "__codelineno-18-25" name = "__codelineno-18-25" href = "#__codelineno-18-25" > < / a > < span class = "w" > < / span > < span class = "n" > pre< / span > < span class = "p" > .< / span > < span class = "n" > right< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > node< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-18-26" name = "__codelineno-18-26" href = "#__codelineno-18-26" > < / a > < span class = "w" > < / span > < span class = "k" > else< / span >
< a id = "__codelineno-18-27" name = "__codelineno-18-27" href = "#__codelineno-18-27" > < / a > < span class = "w" > < / span > < span class = "n" > pre< / span > < span class = "p" > .< / span > < span class = "n" > left< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > node< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-18-28" name = "__codelineno-18-28" href = "#__codelineno-18-28" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-18-29" name = "__codelineno-18-29" href = "#__codelineno-18-29" > < / a > < span class = "p" > }< / span >
< / code > < / pre > < / div >
< / div >
< div class = "tabbed-block" >
< div class = "highlight" > < span class = "filename" > binary_search_tree.swift< / span > < pre > < span > < / span > < code > < a id = "__codelineno-19-1" name = "__codelineno-19-1" href = "#__codelineno-19-1" > < / a > < span class = "cm" > /* 插入节点 */< / span >
< a id = "__codelineno-19-2" name = "__codelineno-19-2" href = "#__codelineno-19-2" > < / a > < span class = "kd" > func< / span > < span class = "nf" > insert< / span > < span class = "p" > (< / span > < span class = "n" > num< / span > < span class = "p" > :< / span > < span class = "nb" > Int< / span > < span class = "p" > )< / span > < span class = "p" > {< / span >
< a id = "__codelineno-19-3" name = "__codelineno-19-3" href = "#__codelineno-19-3" > < / a > < span class = "c1" > // 若树为空，直接提前返回< / span >
< a id = "__codelineno-19-4" name = "__codelineno-19-4" href = "#__codelineno-19-4" > < / a > < span class = "k" > if< / span > < span class = "n" > root< / span > < span class = "p" > ==< / span > < span class = "kc" > nil< / span > < span class = "p" > {< / span >
< a id = "__codelineno-19-5" name = "__codelineno-19-5" href = "#__codelineno-19-5" > < / a > < span class = "k" > return< / span >
< a id = "__codelineno-19-6" name = "__codelineno-19-6" href = "#__codelineno-19-6" > < / a > < span class = "p" > }< / span >
< a id = "__codelineno-19-7" name = "__codelineno-19-7" href = "#__codelineno-19-7" > < / a > < span class = "kd" > var< / span > < span class = "nv" > cur< / span > < span class = "p" > =< / span > < span class = "n" > root< / span >
< a id = "__codelineno-19-8" name = "__codelineno-19-8" href = "#__codelineno-19-8" > < / a > < span class = "kd" > var< / span > < span class = "nv" > pre< / span > < span class = "p" > :< / span > < span class = "n" > TreeNode< / span > < span class = "p" > ?< / span >
< a id = "__codelineno-19-9" name = "__codelineno-19-9" href = "#__codelineno-19-9" > < / a > < span class = "c1" > // 循环查找，越过叶节点后跳出< / span >
< a id = "__codelineno-19-10" name = "__codelineno-19-10" href = "#__codelineno-19-10" > < / a > < span class = "k" > while< / span > < span class = "n" > cur< / span > < span class = "o" > !=< / span > < span class = "kc" > nil< / span > < span class = "p" > {< / span >
< a id = "__codelineno-19-11" name = "__codelineno-19-11" href = "#__codelineno-19-11" > < / a > < span class = "c1" > // 找到重复节点，直接返回< / span >
< a id = "__codelineno-19-12" name = "__codelineno-19-12" href = "#__codelineno-19-12" > < / a > < span class = "k" > if< / span > < span class = "n" > cur< / span > < span class = "p" > !.< / span > < span class = "n" > val< / span > < span class = "p" > ==< / span > < span class = "n" > num< / span > < span class = "p" > {< / span >
< a id = "__codelineno-19-13" name = "__codelineno-19-13" href = "#__codelineno-19-13" > < / a > < span class = "k" > return< / span >
< a id = "__codelineno-19-14" name = "__codelineno-19-14" href = "#__codelineno-19-14" > < / a > < span class = "p" > }< / span >
< a id = "__codelineno-19-15" name = "__codelineno-19-15" href = "#__codelineno-19-15" > < / a > < span class = "n" > pre< / span > < span class = "p" > =< / span > < span class = "n" > cur< / span >
< a id = "__codelineno-19-16" name = "__codelineno-19-16" href = "#__codelineno-19-16" > < / a > < span class = "c1" > // 插入位置在 cur 的右子树中< / span >
< a id = "__codelineno-19-17" name = "__codelineno-19-17" href = "#__codelineno-19-17" > < / a > < span class = "k" > if< / span > < span class = "n" > cur< / span > < span class = "p" > !.< / span > < span class = "n" > val< / span > < span class = "o" > < < / span > < span class = "n" > num< / span > < span class = "p" > {< / span >
< a id = "__codelineno-19-18" name = "__codelineno-19-18" href = "#__codelineno-19-18" > < / a > < span class = "n" > cur< / span > < span class = "p" > =< / span > < span class = "n" > cur< / span > < span class = "p" > ?.< / span > < span class = "kr" > right< / span >
< a id = "__codelineno-19-19" name = "__codelineno-19-19" href = "#__codelineno-19-19" > < / a > < span class = "p" > }< / span >
< a id = "__codelineno-19-20" name = "__codelineno-19-20" href = "#__codelineno-19-20" > < / a > < span class = "c1" > // 插入位置在 cur 的左子树中< / span >
< a id = "__codelineno-19-21" name = "__codelineno-19-21" href = "#__codelineno-19-21" > < / a > < span class = "k" > else< / span > < span class = "p" > {< / span >
< a id = "__codelineno-19-22" name = "__codelineno-19-22" href = "#__codelineno-19-22" > < / a > < span class = "n" > cur< / span > < span class = "p" > =< / span > < span class = "n" > cur< / span > < span class = "p" > ?.< / span > < span class = "kr" > left< / span >
< a id = "__codelineno-19-23" name = "__codelineno-19-23" href = "#__codelineno-19-23" > < / a > < span class = "p" > }< / span >
< a id = "__codelineno-19-24" name = "__codelineno-19-24" href = "#__codelineno-19-24" > < / a > < span class = "p" > }< / span >
< a id = "__codelineno-19-25" name = "__codelineno-19-25" href = "#__codelineno-19-25" > < / a > < span class = "c1" > // 插入节点< / span >
< a id = "__codelineno-19-26" name = "__codelineno-19-26" href = "#__codelineno-19-26" > < / a > < span class = "kd" > let< / span > < span class = "nv" > node< / span > < span class = "p" > =< / span > < span class = "n" > TreeNode< / span > < span class = "p" > (< / span > < span class = "n" > x< / span > < span class = "p" > :< / span > < span class = "n" > num< / span > < span class = "p" > )< / span >
< a id = "__codelineno-19-27" name = "__codelineno-19-27" href = "#__codelineno-19-27" > < / a > < span class = "k" > if< / span > < span class = "n" > pre< / span > < span class = "p" > !.< / span > < span class = "n" > val< / span > < span class = "o" > < < / span > < span class = "n" > num< / span > < span class = "p" > {< / span >
< a id = "__codelineno-19-28" name = "__codelineno-19-28" href = "#__codelineno-19-28" > < / a > < span class = "n" > pre< / span > < span class = "p" > ?.< / span > < span class = "kr" > right< / span > < span class = "p" > =< / span > < span class = "n" > node< / span >
< a id = "__codelineno-19-29" name = "__codelineno-19-29" href = "#__codelineno-19-29" > < / a > < span class = "p" > }< / span > < span class = "k" > else< / span > < span class = "p" > {< / span >
< a id = "__codelineno-19-30" name = "__codelineno-19-30" href = "#__codelineno-19-30" > < / a > < span class = "n" > pre< / span > < span class = "p" > ?.< / span > < span class = "kr" > left< / span > < span class = "p" > =< / span > < span class = "n" > node< / span >
< a id = "__codelineno-19-31" name = "__codelineno-19-31" href = "#__codelineno-19-31" > < / a > < span class = "p" > }< / span >
< a id = "__codelineno-19-32" name = "__codelineno-19-32" href = "#__codelineno-19-32" > < / a > < span class = "p" > }< / span >
2023-02-08 14:54:41 +08:00
< / code > < / pre > < / div >
< / div >
< div class = "tabbed-block" >
2023-06-02 02:38:32 +08:00
< div class = "highlight" > < span class = "filename" > binary_search_tree.zig< / span > < pre > < span > < / span > < code > < a id = "__codelineno-20-1" name = "__codelineno-20-1" href = "#__codelineno-20-1" > < / a > < span class = "c1" > // 插入节点< / span >
< a id = "__codelineno-20-2" name = "__codelineno-20-2" href = "#__codelineno-20-2" > < / a > < span class = "k" > fn< / span > < span class = "w" > < / span > < span class = "n" > insert< / span > < span class = "p" > (< / span > < span class = "n" > self< / span > < span class = "o" > :< / span > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "n" > Self< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "n" > num< / span > < span class = "o" > :< / span > < span class = "w" > < / span > < span class = "n" > T< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "o" > !< / span > < span class = "kt" > void< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-20-3" name = "__codelineno-20-3" href = "#__codelineno-20-3" > < / a > < span class = "w" > < / span > < span class = "c1" > // 若树为空，直接提前返回< / span >
< a id = "__codelineno-20-4" name = "__codelineno-20-4" href = "#__codelineno-20-4" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > self< / span > < span class = "p" > .< / span > < span class = "n" > root< / span > < span class = "w" > < / span > < span class = "o" > ==< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-20-5" name = "__codelineno-20-5" href = "#__codelineno-20-5" > < / a > < span class = "w" > < / span > < span class = "kr" > var< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > self< / span > < span class = "p" > .< / span > < span class = "n" > root< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-20-6" name = "__codelineno-20-6" href = "#__codelineno-20-6" > < / a > < span class = "w" > < / span > < span class = "kr" > var< / span > < span class = "w" > < / span > < span class = "n" > pre< / span > < span class = "o" > :< / span > < span class = "w" > < / span > < span class = "o" > ?*< / span > < span class = "n" > inc< / span > < span class = "p" > .< / span > < span class = "n" > TreeNode< / span > < span class = "p" > (< / span > < span class = "n" > T< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-20-7" name = "__codelineno-20-7" href = "#__codelineno-20-7" > < / a > < span class = "w" > < / span > < span class = "c1" > // 循环查找，越过叶节点后跳出< / span >
< a id = "__codelineno-20-8" name = "__codelineno-20-8" href = "#__codelineno-20-8" > < / a > < span class = "w" > < / span > < span class = "k" > while< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > !=< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-20-9" name = "__codelineno-20-9" href = "#__codelineno-20-9" > < / a > < span class = "w" > < / span > < span class = "c1" > // 找到重复节点，直接返回< / span >
< a id = "__codelineno-20-10" name = "__codelineno-20-10" href = "#__codelineno-20-10" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "o" > ?< / span > < span class = "p" > .< / span > < span class = "n" > val< / span > < span class = "w" > < / span > < span class = "o" > ==< / span > < span class = "w" > < / span > < span class = "n" > num< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-20-11" name = "__codelineno-20-11" href = "#__codelineno-20-11" > < / a > < span class = "w" > < / span > < span class = "n" > pre< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-20-12" name = "__codelineno-20-12" href = "#__codelineno-20-12" > < / a > < span class = "w" > < / span > < span class = "c1" > // 插入位置在 cur 的右子树中< / span >
< a id = "__codelineno-20-13" name = "__codelineno-20-13" href = "#__codelineno-20-13" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "o" > ?< / span > < span class = "p" > .< / span > < span class = "n" > val< / span > < span class = "w" > < / span > < span class = "o" > < < / span > < span class = "w" > < / span > < span class = "n" > num< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-20-14" name = "__codelineno-20-14" href = "#__codelineno-20-14" > < / a > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "o" > ?< / span > < span class = "p" > .< / span > < span class = "n" > right< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-20-15" name = "__codelineno-20-15" href = "#__codelineno-20-15" > < / a > < span class = "w" > < / span > < span class = "c1" > // 插入位置在 cur 的左子树中< / span >
< a id = "__codelineno-20-16" name = "__codelineno-20-16" href = "#__codelineno-20-16" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span > < span class = "w" > < / span > < span class = "k" > else< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-20-17" name = "__codelineno-20-17" href = "#__codelineno-20-17" > < / a > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "o" > ?< / span > < span class = "p" > .< / span > < span class = "n" > left< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-20-18" name = "__codelineno-20-18" href = "#__codelineno-20-18" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-20-19" name = "__codelineno-20-19" href = "#__codelineno-20-19" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-20-20" name = "__codelineno-20-20" href = "#__codelineno-20-20" > < / a > < span class = "w" > < / span > < span class = "c1" > // 插入节点< / span >
< a id = "__codelineno-20-21" name = "__codelineno-20-21" href = "#__codelineno-20-21" > < / a > < span class = "w" > < / span > < span class = "kr" > var< / span > < span class = "w" > < / span > < span class = "n" > node< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "k" > try< / span > < span class = "w" > < / span > < span class = "n" > self< / span > < span class = "p" > .< / span > < span class = "n" > mem_allocator< / span > < span class = "p" > .< / span > < span class = "n" > create< / span > < span class = "p" > (< / span > < span class = "n" > inc< / span > < span class = "p" > .< / span > < span class = "n" > TreeNode< / span > < span class = "p" > (< / span > < span class = "n" > T< / span > < span class = "p" > ));< / span >
< a id = "__codelineno-20-22" name = "__codelineno-20-22" href = "#__codelineno-20-22" > < / a > < span class = "w" > < / span > < span class = "n" > node< / span > < span class = "p" > .< / span > < span class = "n" > init< / span > < span class = "p" > (< / span > < span class = "n" > num< / span > < span class = "p" > );< / span >
< a id = "__codelineno-20-23" name = "__codelineno-20-23" href = "#__codelineno-20-23" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > pre< / span > < span class = "p" > .< / span > < span class = "o" > ?< / span > < span class = "p" > .< / span > < span class = "n" > val< / span > < span class = "w" > < / span > < span class = "o" > < < / span > < span class = "w" > < / span > < span class = "n" > num< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-20-24" name = "__codelineno-20-24" href = "#__codelineno-20-24" > < / a > < span class = "w" > < / span > < span class = "n" > pre< / span > < span class = "p" > .< / span > < span class = "o" > ?< / span > < span class = "p" > .< / span > < span class = "n" > right< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > node< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-20-25" name = "__codelineno-20-25" href = "#__codelineno-20-25" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span > < span class = "w" > < / span > < span class = "k" > else< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-20-26" name = "__codelineno-20-26" href = "#__codelineno-20-26" > < / a > < span class = "w" > < / span > < span class = "n" > pre< / span > < span class = "p" > .< / span > < span class = "o" > ?< / span > < span class = "p" > .< / span > < span class = "n" > left< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > node< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-20-27" name = "__codelineno-20-27" href = "#__codelineno-20-27" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-20-28" name = "__codelineno-20-28" href = "#__codelineno-20-28" > < / a > < span class = "p" > }< / span >
< / code > < / pre > < / div >
< / div >
< div class = "tabbed-block" >
< div class = "highlight" > < span class = "filename" > binary_search_tree.dart< / span > < pre > < span > < / span > < code > < a id = "__codelineno-21-1" name = "__codelineno-21-1" href = "#__codelineno-21-1" > < / a > < span class = "p" > [< / span > < span class = "n" > class< / span > < span class = "p" > ]{< / span > < span class = "n" > BinarySearchTree< / span > < span class = "p" > }< / span > < span class = "o" > -< / span > < span class = "p" > [< / span > < span class = "n" > func< / span > < span class = "p" > ]{< / span > < span class = "n" > insert< / span > < span class = "p" > }< / span >
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< / code > < / pre > < / div >
< / div >
< / div >
< / div >
2023-06-17 00:46:16 +08:00
< p > 为了插入节点，我们需要利用辅助节点 < code > pre< / code > 保存上一轮循环的节点，这样在遍历至 < span class = "arithmatex" > \(\text{None}\)< / span > 时，我们可以获取到其父节点，从而完成节点插入操作。< / p >
2023-04-09 04:35:05 +08:00
< p > 与查找节点相同，插入节点使用 < span class = "arithmatex" > \(O(\log n)\)< / span > 时间。< / p >
< h3 id = "_3" > 删除节点< a class = "headerlink" href = "#_3" title = "Permanent link" > ¶ < / a > < / h3 >
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< p > 与插入节点类似，我们需要在删除操作后维持二叉搜索树的“左子树 < 根节点 < 右子树”的性质。首先，我们需要在二叉树中执行查找操作，获取待删除节点。接下来，根据待删除节点的子节点数量，删除操作需分为三种情况：< / p >
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< p > 当待删除节点的度为 < span class = "arithmatex" > \(0\)< / span > 时，表示待删除节点是叶节点，可以直接删除。< / p >
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< p > < img alt = "在二叉搜索树中删除节点（度为 0） src = "../binary_search_tree.assets/bst_remove_case1.png" / > < / p >
< p align = "center" > Fig. 在二叉搜索树中删除节点（度为 0） < / p >
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< p > 当待删除节点的度为 < span class = "arithmatex" > \(1\)< / span > 时，将待删除节点替换为其子节点即可。< / p >
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< p > < img alt = "在二叉搜索树中删除节点（度为 1） src = "../binary_search_tree.assets/bst_remove_case2.png" / > < / p >
< p align = "center" > Fig. 在二叉搜索树中删除节点（度为 1） < / p >
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< p > 当待删除节点的度为 < span class = "arithmatex" > \(2\)< / span > 时，我们无法直接删除它，而需要使用一个节点替换该节点。由于要保持二叉搜索树“左 < span class = "arithmatex" > \(< \)< / span > 根 < span class = "arithmatex" > \(< \)< / span > 右”的性质，因此这个节点可以是右子树的最小节点或左子树的最大节点。假设我们选择右子树的最小节点（或者称为中序遍历的下个节点），则删除操作为：< / p >
2023-02-08 14:54:41 +08:00
< ol >
2023-04-14 05:51:49 +08:00
< li > 找到待删除节点在“中序遍历序列”中的下一个节点，记为 < code > tmp< / code > ； < / li >
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< li > 将 < code > tmp< / code > 的值覆盖待删除节点的值，并在树中递归删除节点 < code > tmp< / code > ； < / li >
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< / ol >
2023-02-22 00:57:11 +08:00
< div class = "tabbed-set tabbed-alternate" data-tabs = "4:4" > < input checked = "checked" id = "__tabbed_4_1" name = "__tabbed_4" type = "radio" / > < input id = "__tabbed_4_2" name = "__tabbed_4" type = "radio" / > < input id = "__tabbed_4_3" name = "__tabbed_4" type = "radio" / > < input id = "__tabbed_4_4" name = "__tabbed_4" type = "radio" / > < div class = "tabbed-labels" > < label for = "__tabbed_4_1" > < 1> < / label > < label for = "__tabbed_4_2" > < 2> < / label > < label for = "__tabbed_4_3" > < 3> < / label > < label for = "__tabbed_4_4" > < 4> < / label > < / div >
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< div class = "tabbed-content" >
< div class = "tabbed-block" >
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< p > < img alt = "二叉搜索树删除节点示例" src = "../binary_search_tree.assets/bst_remove_case3_step1.png" / > < / p >
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< / div >
< div class = "tabbed-block" >
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< p > < img alt = "bst_remove_case3_step2" src = "../binary_search_tree.assets/bst_remove_case3_step2.png" / > < / p >
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< / div >
< div class = "tabbed-block" >
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< p > < img alt = "bst_remove_case3_step3" src = "../binary_search_tree.assets/bst_remove_case3_step3.png" / > < / p >
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< / div >
< div class = "tabbed-block" >
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< p > < img alt = "bst_remove_case3_step4" src = "../binary_search_tree.assets/bst_remove_case3_step4.png" / > < / p >
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< / div >
< / div >
< / div >
2023-04-10 23:59:39 +08:00
< p > 删除节点操作同样使用 < span class = "arithmatex" > \(O(\log n)\)< / span > 时间，其中查找待删除节点需要 < span class = "arithmatex" > \(O(\log n)\)< / span > 时间，获取中序遍历后继节点需要 < span class = "arithmatex" > \(O(\log n)\)< / span > 时间。< / p >
2023-06-02 02:38:32 +08:00
< div class = "tabbed-set tabbed-alternate" data-tabs = "5:11" > < input checked = "checked" id = "__tabbed_5_1" name = "__tabbed_5" type = "radio" / > < input id = "__tabbed_5_2" name = "__tabbed_5" type = "radio" / > < input id = "__tabbed_5_3" name = "__tabbed_5" type = "radio" / > < input id = "__tabbed_5_4" name = "__tabbed_5" type = "radio" / > < input id = "__tabbed_5_5" name = "__tabbed_5" type = "radio" / > < input id = "__tabbed_5_6" name = "__tabbed_5" type = "radio" / > < input id = "__tabbed_5_7" name = "__tabbed_5" type = "radio" / > < input id = "__tabbed_5_8" name = "__tabbed_5" type = "radio" / > < input id = "__tabbed_5_9" name = "__tabbed_5" type = "radio" / > < input id = "__tabbed_5_10" name = "__tabbed_5" type = "radio" / > < input id = "__tabbed_5_11" name = "__tabbed_5" type = "radio" / > < div class = "tabbed-labels" > < label for = "__tabbed_5_1" > Java< / label > < label for = "__tabbed_5_2" > C++< / label > < label for = "__tabbed_5_3" > Python< / label > < label for = "__tabbed_5_4" > Go< / label > < label for = "__tabbed_5_5" > JavaScript< / label > < label for = "__tabbed_5_6" > TypeScript< / label > < label for = "__tabbed_5_7" > C< / label > < label for = "__tabbed_5_8" > C#< / label > < label for = "__tabbed_5_9" > Swift< / label > < label for = "__tabbed_5_10" > Zig< / label > < label for = "__tabbed_5_11" > Dart< / label > < / div >
2023-02-08 14:54:41 +08:00
< div class = "tabbed-content" >
< div class = "tabbed-block" >
2023-06-02 02:38:32 +08:00
< div class = "highlight" > < span class = "filename" > binary_search_tree.java< / span > < pre > < span > < / span > < code > < a id = "__codelineno-22-1" name = "__codelineno-22-1" href = "#__codelineno-22-1" > < / a > < span class = "cm" > /* 删除节点 */< / span >
< a id = "__codelineno-22-2" name = "__codelineno-22-2" href = "#__codelineno-22-2" > < / a > < span class = "kt" > void< / span > < span class = "w" > < / span > < span class = "nf" > remove< / span > < span class = "p" > (< / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "n" > num< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-22-3" name = "__codelineno-22-3" href = "#__codelineno-22-3" > < / a > < span class = "w" > < / span > < span class = "c1" > // 若树为空，直接提前返回< / span >
< a id = "__codelineno-22-4" name = "__codelineno-22-4" href = "#__codelineno-22-4" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > root< / span > < span class = "w" > < / span > < span class = "o" > ==< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "p" > )< / span >
< a id = "__codelineno-22-5" name = "__codelineno-22-5" href = "#__codelineno-22-5" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-22-6" name = "__codelineno-22-6" href = "#__codelineno-22-6" > < / a > < span class = "w" > < / span > < span class = "n" > TreeNode< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > root< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "n" > pre< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-22-7" name = "__codelineno-22-7" href = "#__codelineno-22-7" > < / a > < span class = "w" > < / span > < span class = "c1" > // 循环查找，越过叶节点后跳出< / span >
< a id = "__codelineno-22-8" name = "__codelineno-22-8" href = "#__codelineno-22-8" > < / a > < span class = "w" > < / span > < span class = "k" > while< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > !=< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-22-9" name = "__codelineno-22-9" href = "#__codelineno-22-9" > < / a > < span class = "w" > < / span > < span class = "c1" > // 找到待删除节点，跳出循环< / span >
< a id = "__codelineno-22-10" name = "__codelineno-22-10" href = "#__codelineno-22-10" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "na" > val< / span > < span class = "w" > < / span > < span class = "o" > ==< / span > < span class = "w" > < / span > < span class = "n" > num< / span > < span class = "p" > )< / span >
< a id = "__codelineno-22-11" name = "__codelineno-22-11" href = "#__codelineno-22-11" > < / a > < span class = "w" > < / span > < span class = "k" > break< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-22-12" name = "__codelineno-22-12" href = "#__codelineno-22-12" > < / a > < span class = "w" > < / span > < span class = "n" > pre< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-22-13" name = "__codelineno-22-13" href = "#__codelineno-22-13" > < / a > < span class = "w" > < / span > < span class = "c1" > // 待删除节点在 cur 的右子树中< / span >
< a id = "__codelineno-22-14" name = "__codelineno-22-14" href = "#__codelineno-22-14" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "na" > val< / span > < span class = "w" > < / span > < span class = "o" > < < / span > < span class = "w" > < / span > < span class = "n" > num< / span > < span class = "p" > )< / span >
< a id = "__codelineno-22-15" name = "__codelineno-22-15" href = "#__codelineno-22-15" > < / a > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "na" > right< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-22-16" name = "__codelineno-22-16" href = "#__codelineno-22-16" > < / a > < span class = "w" > < / span > < span class = "c1" > // 待删除节点在 cur 的左子树中< / span >
< a id = "__codelineno-22-17" name = "__codelineno-22-17" href = "#__codelineno-22-17" > < / a > < span class = "w" > < / span > < span class = "k" > else< / span >
< a id = "__codelineno-22-18" name = "__codelineno-22-18" href = "#__codelineno-22-18" > < / a > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "na" > left< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-22-19" name = "__codelineno-22-19" href = "#__codelineno-22-19" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-22-20" name = "__codelineno-22-20" href = "#__codelineno-22-20" > < / a > < span class = "w" > < / span > < span class = "c1" > // 若无待删除节点，则直接返回< / span >
< a id = "__codelineno-22-21" name = "__codelineno-22-21" href = "#__codelineno-22-21" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > ==< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "p" > )< / span >
< a id = "__codelineno-22-22" name = "__codelineno-22-22" href = "#__codelineno-22-22" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-22-23" name = "__codelineno-22-23" href = "#__codelineno-22-23" > < / a > < span class = "w" > < / span > < span class = "c1" > // 子节点数量 = 0 or 1< / span >
< a id = "__codelineno-22-24" name = "__codelineno-22-24" href = "#__codelineno-22-24" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "na" > left< / span > < span class = "w" > < / span > < span class = "o" > ==< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "w" > < / span > < span class = "o" > ||< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "na" > right< / span > < span class = "w" > < / span > < span class = "o" > ==< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-22-25" name = "__codelineno-22-25" href = "#__codelineno-22-25" > < / a > < span class = "w" > < / span > < span class = "c1" > // 当子节点数量 = 0 / 1 时， child = null / 该子节点< / span >
< a id = "__codelineno-22-26" name = "__codelineno-22-26" href = "#__codelineno-22-26" > < / a > < span class = "w" > < / span > < span class = "n" > TreeNode< / span > < span class = "w" > < / span > < span class = "n" > child< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "na" > left< / span > < span class = "w" > < / span > < span class = "o" > !=< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "w" > < / span > < span class = "o" > ?< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "na" > left< / span > < span class = "w" > < / span > < span class = "p" > :< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "na" > right< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-22-27" name = "__codelineno-22-27" href = "#__codelineno-22-27" > < / a > < span class = "w" > < / span > < span class = "c1" > // 删除节点 cur< / span >
< a id = "__codelineno-22-28" name = "__codelineno-22-28" href = "#__codelineno-22-28" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > !=< / span > < span class = "w" > < / span > < span class = "n" > root< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-22-29" name = "__codelineno-22-29" href = "#__codelineno-22-29" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > pre< / span > < span class = "p" > .< / span > < span class = "na" > left< / span > < span class = "w" > < / span > < span class = "o" > ==< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "p" > )< / span >
< a id = "__codelineno-22-30" name = "__codelineno-22-30" href = "#__codelineno-22-30" > < / a > < span class = "w" > < / span > < span class = "n" > pre< / span > < span class = "p" > .< / span > < span class = "na" > left< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > child< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-22-31" name = "__codelineno-22-31" href = "#__codelineno-22-31" > < / a > < span class = "w" > < / span > < span class = "k" > else< / span >
< a id = "__codelineno-22-32" name = "__codelineno-22-32" href = "#__codelineno-22-32" > < / a > < span class = "w" > < / span > < span class = "n" > pre< / span > < span class = "p" > .< / span > < span class = "na" > right< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > child< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-22-33" name = "__codelineno-22-33" href = "#__codelineno-22-33" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span > < span class = "w" > < / span > < span class = "k" > else< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-22-34" name = "__codelineno-22-34" href = "#__codelineno-22-34" > < / a > < span class = "w" > < / span > < span class = "c1" > // 若删除节点为根节点，则重新指定根节点< / span >
< a id = "__codelineno-22-35" name = "__codelineno-22-35" href = "#__codelineno-22-35" > < / a > < span class = "w" > < / span > < span class = "n" > root< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > child< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-22-36" name = "__codelineno-22-36" href = "#__codelineno-22-36" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-22-37" name = "__codelineno-22-37" href = "#__codelineno-22-37" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-22-38" name = "__codelineno-22-38" href = "#__codelineno-22-38" > < / a > < span class = "w" > < / span > < span class = "c1" > // 子节点数量 = 2< / span >
< a id = "__codelineno-22-39" name = "__codelineno-22-39" href = "#__codelineno-22-39" > < / a > < span class = "w" > < / span > < span class = "k" > else< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-22-40" name = "__codelineno-22-40" href = "#__codelineno-22-40" > < / a > < span class = "w" > < / span > < span class = "c1" > // 获取中序遍历中 cur 的下一个节点< / span >
< a id = "__codelineno-22-41" name = "__codelineno-22-41" href = "#__codelineno-22-41" > < / a > < span class = "w" > < / span > < span class = "n" > TreeNode< / span > < span class = "w" > < / span > < span class = "n" > tmp< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "na" > right< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-22-42" name = "__codelineno-22-42" href = "#__codelineno-22-42" > < / a > < span class = "w" > < / span > < span class = "k" > while< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > tmp< / span > < span class = "p" > .< / span > < span class = "na" > left< / span > < span class = "w" > < / span > < span class = "o" > !=< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-22-43" name = "__codelineno-22-43" href = "#__codelineno-22-43" > < / a > < span class = "w" > < / span > < span class = "n" > tmp< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > tmp< / span > < span class = "p" > .< / span > < span class = "na" > left< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-22-44" name = "__codelineno-22-44" href = "#__codelineno-22-44" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-22-45" name = "__codelineno-22-45" href = "#__codelineno-22-45" > < / a > < span class = "w" > < / span > < span class = "c1" > // 递归删除节点 tmp< / span >
< a id = "__codelineno-22-46" name = "__codelineno-22-46" href = "#__codelineno-22-46" > < / a > < span class = "w" > < / span > < span class = "n" > remove< / span > < span class = "p" > (< / span > < span class = "n" > tmp< / span > < span class = "p" > .< / span > < span class = "na" > val< / span > < span class = "p" > );< / span >
< a id = "__codelineno-22-47" name = "__codelineno-22-47" href = "#__codelineno-22-47" > < / a > < span class = "w" > < / span > < span class = "c1" > // 用 tmp 覆盖 cur< / span >
< a id = "__codelineno-22-48" name = "__codelineno-22-48" href = "#__codelineno-22-48" > < / a > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "na" > val< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > tmp< / span > < span class = "p" > .< / span > < span class = "na" > val< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-22-49" name = "__codelineno-22-49" href = "#__codelineno-22-49" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-22-50" name = "__codelineno-22-50" href = "#__codelineno-22-50" > < / a > < span class = "p" > }< / span >
2023-02-08 14:54:41 +08:00
< / code > < / pre > < / div >
< / div >
< div class = "tabbed-block" >
2023-06-02 02:38:32 +08:00
< div class = "highlight" > < span class = "filename" > binary_search_tree.cpp< / span > < pre > < span > < / span > < code > < a id = "__codelineno-23-1" name = "__codelineno-23-1" href = "#__codelineno-23-1" > < / a > < span class = "cm" > /* 删除节点 */< / span >
< a id = "__codelineno-23-2" name = "__codelineno-23-2" href = "#__codelineno-23-2" > < / a > < span class = "kt" > void< / span > < span class = "w" > < / span > < span class = "nf" > remove< / span > < span class = "p" > (< / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "n" > num< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-23-3" name = "__codelineno-23-3" href = "#__codelineno-23-3" > < / a > < span class = "w" > < / span > < span class = "c1" > // 若树为空，直接提前返回< / span >
< a id = "__codelineno-23-4" name = "__codelineno-23-4" href = "#__codelineno-23-4" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > root< / span > < span class = "w" > < / span > < span class = "o" > ==< / span > < span class = "w" > < / span > < span class = "k" > nullptr< / span > < span class = "p" > )< / span >
< a id = "__codelineno-23-5" name = "__codelineno-23-5" href = "#__codelineno-23-5" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-23-6" name = "__codelineno-23-6" href = "#__codelineno-23-6" > < / a > < span class = "w" > < / span > < span class = "n" > TreeNode< / span > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > root< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "n" > pre< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "k" > nullptr< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-23-7" name = "__codelineno-23-7" href = "#__codelineno-23-7" > < / a > < span class = "w" > < / span > < span class = "c1" > // 循环查找，越过叶节点后跳出< / span >
< a id = "__codelineno-23-8" name = "__codelineno-23-8" href = "#__codelineno-23-8" > < / a > < span class = "w" > < / span > < span class = "k" > while< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > !=< / span > < span class = "w" > < / span > < span class = "k" > nullptr< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-23-9" name = "__codelineno-23-9" href = "#__codelineno-23-9" > < / a > < span class = "w" > < / span > < span class = "c1" > // 找到待删除节点，跳出循环< / span >
< a id = "__codelineno-23-10" name = "__codelineno-23-10" href = "#__codelineno-23-10" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > cur< / span > < span class = "o" > -> < / span > < span class = "n" > val< / span > < span class = "w" > < / span > < span class = "o" > ==< / span > < span class = "w" > < / span > < span class = "n" > num< / span > < span class = "p" > )< / span >
< a id = "__codelineno-23-11" name = "__codelineno-23-11" href = "#__codelineno-23-11" > < / a > < span class = "w" > < / span > < span class = "k" > break< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-23-12" name = "__codelineno-23-12" href = "#__codelineno-23-12" > < / a > < span class = "w" > < / span > < span class = "n" > pre< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-23-13" name = "__codelineno-23-13" href = "#__codelineno-23-13" > < / a > < span class = "w" > < / span > < span class = "c1" > // 待删除节点在 cur 的右子树中< / span >
< a id = "__codelineno-23-14" name = "__codelineno-23-14" href = "#__codelineno-23-14" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > cur< / span > < span class = "o" > -> < / span > < span class = "n" > val< / span > < span class = "w" > < / span > < span class = "o" > < < / span > < span class = "w" > < / span > < span class = "n" > num< / span > < span class = "p" > )< / span >
< a id = "__codelineno-23-15" name = "__codelineno-23-15" href = "#__codelineno-23-15" > < / a > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "o" > -> < / span > < span class = "n" > right< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-23-16" name = "__codelineno-23-16" href = "#__codelineno-23-16" > < / a > < span class = "w" > < / span > < span class = "c1" > // 待删除节点在 cur 的左子树中< / span >
< a id = "__codelineno-23-17" name = "__codelineno-23-17" href = "#__codelineno-23-17" > < / a > < span class = "w" > < / span > < span class = "k" > else< / span >
< a id = "__codelineno-23-18" name = "__codelineno-23-18" href = "#__codelineno-23-18" > < / a > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "o" > -> < / span > < span class = "n" > left< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-23-19" name = "__codelineno-23-19" href = "#__codelineno-23-19" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-23-20" name = "__codelineno-23-20" href = "#__codelineno-23-20" > < / a > < span class = "w" > < / span > < span class = "c1" > // 若无待删除节点，则直接返回< / span >
< a id = "__codelineno-23-21" name = "__codelineno-23-21" href = "#__codelineno-23-21" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > ==< / span > < span class = "w" > < / span > < span class = "k" > nullptr< / span > < span class = "p" > )< / span >
< a id = "__codelineno-23-22" name = "__codelineno-23-22" href = "#__codelineno-23-22" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-23-23" name = "__codelineno-23-23" href = "#__codelineno-23-23" > < / a > < span class = "w" > < / span > < span class = "c1" > // 子节点数量 = 0 or 1< / span >
< a id = "__codelineno-23-24" name = "__codelineno-23-24" href = "#__codelineno-23-24" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > cur< / span > < span class = "o" > -> < / span > < span class = "n" > left< / span > < span class = "w" > < / span > < span class = "o" > ==< / span > < span class = "w" > < / span > < span class = "k" > nullptr< / span > < span class = "w" > < / span > < span class = "o" > ||< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "o" > -> < / span > < span class = "n" > right< / span > < span class = "w" > < / span > < span class = "o" > ==< / span > < span class = "w" > < / span > < span class = "k" > nullptr< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-23-25" name = "__codelineno-23-25" href = "#__codelineno-23-25" > < / a > < span class = "w" > < / span > < span class = "c1" > // 当子节点数量 = 0 / 1 时， child = nullptr / 该子节点< / span >
< a id = "__codelineno-23-26" name = "__codelineno-23-26" href = "#__codelineno-23-26" > < / a > < span class = "w" > < / span > < span class = "n" > TreeNode< / span > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "n" > child< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "o" > -> < / span > < span class = "n" > left< / span > < span class = "w" > < / span > < span class = "o" > !=< / span > < span class = "w" > < / span > < span class = "k" > nullptr< / span > < span class = "w" > < / span > < span class = "o" > ?< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "o" > -> < / span > < span class = "n" > left< / span > < span class = "w" > < / span > < span class = "o" > :< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "o" > -> < / span > < span class = "n" > right< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-23-27" name = "__codelineno-23-27" href = "#__codelineno-23-27" > < / a > < span class = "w" > < / span > < span class = "c1" > // 删除节点 cur< / span >
< a id = "__codelineno-23-28" name = "__codelineno-23-28" href = "#__codelineno-23-28" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > !=< / span > < span class = "w" > < / span > < span class = "n" > root< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-23-29" name = "__codelineno-23-29" href = "#__codelineno-23-29" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > pre< / span > < span class = "o" > -> < / span > < span class = "n" > left< / span > < span class = "w" > < / span > < span class = "o" > ==< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "p" > )< / span >
< a id = "__codelineno-23-30" name = "__codelineno-23-30" href = "#__codelineno-23-30" > < / a > < span class = "w" > < / span > < span class = "n" > pre< / span > < span class = "o" > -> < / span > < span class = "n" > left< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > child< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-23-31" name = "__codelineno-23-31" href = "#__codelineno-23-31" > < / a > < span class = "w" > < / span > < span class = "k" > else< / span >
< a id = "__codelineno-23-32" name = "__codelineno-23-32" href = "#__codelineno-23-32" > < / a > < span class = "w" > < / span > < span class = "n" > pre< / span > < span class = "o" > -> < / span > < span class = "n" > right< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > child< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-23-33" name = "__codelineno-23-33" href = "#__codelineno-23-33" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span > < span class = "w" > < / span > < span class = "k" > else< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-23-34" name = "__codelineno-23-34" href = "#__codelineno-23-34" > < / a > < span class = "w" > < / span > < span class = "c1" > // 若删除节点为根节点，则重新指定根节点< / span >
< a id = "__codelineno-23-35" name = "__codelineno-23-35" href = "#__codelineno-23-35" > < / a > < span class = "w" > < / span > < span class = "n" > root< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > child< / span > < span class = "p" > ;< / span >
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< a id = "__codelineno-23-36" name = "__codelineno-23-36" href = "#__codelineno-23-36" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
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< a id = "__codelineno-23-37" name = "__codelineno-23-37" href = "#__codelineno-23-37" > < / a > < span class = "w" > < / span > < span class = "c1" > // 释放内存< / span >
< a id = "__codelineno-23-38" name = "__codelineno-23-38" href = "#__codelineno-23-38" > < / a > < span class = "w" > < / span > < span class = "k" > delete< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-23-39" name = "__codelineno-23-39" href = "#__codelineno-23-39" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-23-40" name = "__codelineno-23-40" href = "#__codelineno-23-40" > < / a > < span class = "w" > < / span > < span class = "c1" > // 子节点数量 = 2< / span >
< a id = "__codelineno-23-41" name = "__codelineno-23-41" href = "#__codelineno-23-41" > < / a > < span class = "w" > < / span > < span class = "k" > else< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-23-42" name = "__codelineno-23-42" href = "#__codelineno-23-42" > < / a > < span class = "w" > < / span > < span class = "c1" > // 获取中序遍历中 cur 的下一个节点< / span >
< a id = "__codelineno-23-43" name = "__codelineno-23-43" href = "#__codelineno-23-43" > < / a > < span class = "w" > < / span > < span class = "n" > TreeNode< / span > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "n" > tmp< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "o" > -> < / span > < span class = "n" > right< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-23-44" name = "__codelineno-23-44" href = "#__codelineno-23-44" > < / a > < span class = "w" > < / span > < span class = "k" > while< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > tmp< / span > < span class = "o" > -> < / span > < span class = "n" > left< / span > < span class = "w" > < / span > < span class = "o" > !=< / span > < span class = "w" > < / span > < span class = "k" > nullptr< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-23-45" name = "__codelineno-23-45" href = "#__codelineno-23-45" > < / a > < span class = "w" > < / span > < span class = "n" > tmp< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > tmp< / span > < span class = "o" > -> < / span > < span class = "n" > left< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-23-46" name = "__codelineno-23-46" href = "#__codelineno-23-46" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-23-47" name = "__codelineno-23-47" href = "#__codelineno-23-47" > < / a > < span class = "w" > < / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "n" > tmpVal< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > tmp< / span > < span class = "o" > -> < / span > < span class = "n" > val< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-23-48" name = "__codelineno-23-48" href = "#__codelineno-23-48" > < / a > < span class = "w" > < / span > < span class = "c1" > // 递归删除节点 tmp< / span >
< a id = "__codelineno-23-49" name = "__codelineno-23-49" href = "#__codelineno-23-49" > < / a > < span class = "w" > < / span > < span class = "n" > remove< / span > < span class = "p" > (< / span > < span class = "n" > tmp< / span > < span class = "o" > -> < / span > < span class = "n" > val< / span > < span class = "p" > );< / span >
< a id = "__codelineno-23-50" name = "__codelineno-23-50" href = "#__codelineno-23-50" > < / a > < span class = "w" > < / span > < span class = "c1" > // 用 tmp 覆盖 cur< / span >
< a id = "__codelineno-23-51" name = "__codelineno-23-51" href = "#__codelineno-23-51" > < / a > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "o" > -> < / span > < span class = "n" > val< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > tmpVal< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-23-52" name = "__codelineno-23-52" href = "#__codelineno-23-52" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-23-53" name = "__codelineno-23-53" href = "#__codelineno-23-53" > < / a > < span class = "p" > }< / span >
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< / code > < / pre > < / div >
< / div >
< div class = "tabbed-block" >
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< div class = "highlight" > < span class = "filename" > binary_search_tree.py< / span > < pre > < span > < / span > < code > < a id = "__codelineno-24-1" name = "__codelineno-24-1" href = "#__codelineno-24-1" > < / a > < span class = "k" > def< / span > < span class = "nf" > remove< / span > < span class = "p" > (< / span > < span class = "bp" > self< / span > < span class = "p" > ,< / span > < span class = "n" > num< / span > < span class = "p" > :< / span > < span class = "nb" > int< / span > < span class = "p" > )< / span > < span class = "o" > -> < / span > < span class = "kc" > None< / span > < span class = "p" > :< / span >
< a id = "__codelineno-24-2" name = "__codelineno-24-2" href = "#__codelineno-24-2" > < / a > < span class = "w" > < / span > < span class = "sd" > " " " 删除节点" " " < / span >
< a id = "__codelineno-24-3" name = "__codelineno-24-3" href = "#__codelineno-24-3" > < / a > < span class = "c1" > # 若树为空，直接提前返回< / span >
< a id = "__codelineno-24-4" name = "__codelineno-24-4" href = "#__codelineno-24-4" > < / a > < span class = "k" > if< / span > < span class = "bp" > self< / span > < span class = "o" > .< / span > < span class = "n" > root< / span > < span class = "ow" > is< / span > < span class = "kc" > None< / span > < span class = "p" > :< / span >
< a id = "__codelineno-24-5" name = "__codelineno-24-5" href = "#__codelineno-24-5" > < / a > < span class = "k" > return< / span >
< a id = "__codelineno-24-6" name = "__codelineno-24-6" href = "#__codelineno-24-6" > < / a >
< a id = "__codelineno-24-7" name = "__codelineno-24-7" href = "#__codelineno-24-7" > < / a > < span class = "c1" > # 循环查找，越过叶节点后跳出< / span >
< a id = "__codelineno-24-8" name = "__codelineno-24-8" href = "#__codelineno-24-8" > < / a > < span class = "n" > cur< / span > < span class = "p" > ,< / span > < span class = "n" > pre< / span > < span class = "o" > =< / span > < span class = "bp" > self< / span > < span class = "o" > .< / span > < span class = "n" > root< / span > < span class = "p" > ,< / span > < span class = "kc" > None< / span >
< a id = "__codelineno-24-9" name = "__codelineno-24-9" href = "#__codelineno-24-9" > < / a > < span class = "k" > while< / span > < span class = "n" > cur< / span > < span class = "ow" > is< / span > < span class = "ow" > not< / span > < span class = "kc" > None< / span > < span class = "p" > :< / span >
< a id = "__codelineno-24-10" name = "__codelineno-24-10" href = "#__codelineno-24-10" > < / a > < span class = "c1" > # 找到待删除节点，跳出循环< / span >
< a id = "__codelineno-24-11" name = "__codelineno-24-11" href = "#__codelineno-24-11" > < / a > < span class = "k" > if< / span > < span class = "n" > cur< / span > < span class = "o" > .< / span > < span class = "n" > val< / span > < span class = "o" > ==< / span > < span class = "n" > num< / span > < span class = "p" > :< / span >
< a id = "__codelineno-24-12" name = "__codelineno-24-12" href = "#__codelineno-24-12" > < / a > < span class = "k" > break< / span >
< a id = "__codelineno-24-13" name = "__codelineno-24-13" href = "#__codelineno-24-13" > < / a > < span class = "n" > pre< / span > < span class = "o" > =< / span > < span class = "n" > cur< / span >
< a id = "__codelineno-24-14" name = "__codelineno-24-14" href = "#__codelineno-24-14" > < / a > < span class = "c1" > # 待删除节点在 cur 的右子树中< / span >
< a id = "__codelineno-24-15" name = "__codelineno-24-15" href = "#__codelineno-24-15" > < / a > < span class = "k" > if< / span > < span class = "n" > cur< / span > < span class = "o" > .< / span > < span class = "n" > val< / span > < span class = "o" > < < / span > < span class = "n" > num< / span > < span class = "p" > :< / span >
< a id = "__codelineno-24-16" name = "__codelineno-24-16" href = "#__codelineno-24-16" > < / a > < span class = "n" > cur< / span > < span class = "o" > =< / span > < span class = "n" > cur< / span > < span class = "o" > .< / span > < span class = "n" > right< / span >
< a id = "__codelineno-24-17" name = "__codelineno-24-17" href = "#__codelineno-24-17" > < / a > < span class = "c1" > # 待删除节点在 cur 的左子树中< / span >
< a id = "__codelineno-24-18" name = "__codelineno-24-18" href = "#__codelineno-24-18" > < / a > < span class = "k" > else< / span > < span class = "p" > :< / span >
< a id = "__codelineno-24-19" name = "__codelineno-24-19" href = "#__codelineno-24-19" > < / a > < span class = "n" > cur< / span > < span class = "o" > =< / span > < span class = "n" > cur< / span > < span class = "o" > .< / span > < span class = "n" > left< / span >
< a id = "__codelineno-24-20" name = "__codelineno-24-20" href = "#__codelineno-24-20" > < / a > < span class = "c1" > # 若无待删除节点，则直接返回< / span >
< a id = "__codelineno-24-21" name = "__codelineno-24-21" href = "#__codelineno-24-21" > < / a > < span class = "k" > if< / span > < span class = "n" > cur< / span > < span class = "ow" > is< / span > < span class = "kc" > None< / span > < span class = "p" > :< / span >
< a id = "__codelineno-24-22" name = "__codelineno-24-22" href = "#__codelineno-24-22" > < / a > < span class = "k" > return< / span >
< a id = "__codelineno-24-23" name = "__codelineno-24-23" href = "#__codelineno-24-23" > < / a >
< a id = "__codelineno-24-24" name = "__codelineno-24-24" href = "#__codelineno-24-24" > < / a > < span class = "c1" > # 子节点数量 = 0 or 1< / span >
< a id = "__codelineno-24-25" name = "__codelineno-24-25" href = "#__codelineno-24-25" > < / a > < span class = "k" > if< / span > < span class = "n" > cur< / span > < span class = "o" > .< / span > < span class = "n" > left< / span > < span class = "ow" > is< / span > < span class = "kc" > None< / span > < span class = "ow" > or< / span > < span class = "n" > cur< / span > < span class = "o" > .< / span > < span class = "n" > right< / span > < span class = "ow" > is< / span > < span class = "kc" > None< / span > < span class = "p" > :< / span >
< a id = "__codelineno-24-26" name = "__codelineno-24-26" href = "#__codelineno-24-26" > < / a > < span class = "c1" > # 当子节点数量 = 0 / 1 时， child = null / 该子节点< / span >
< a id = "__codelineno-24-27" name = "__codelineno-24-27" href = "#__codelineno-24-27" > < / a > < span class = "n" > child< / span > < span class = "o" > =< / span > < span class = "n" > cur< / span > < span class = "o" > .< / span > < span class = "n" > left< / span > < span class = "ow" > or< / span > < span class = "n" > cur< / span > < span class = "o" > .< / span > < span class = "n" > right< / span >
< a id = "__codelineno-24-28" name = "__codelineno-24-28" href = "#__codelineno-24-28" > < / a > < span class = "c1" > # 删除节点 cur< / span >
< a id = "__codelineno-24-29" name = "__codelineno-24-29" href = "#__codelineno-24-29" > < / a > < span class = "k" > if< / span > < span class = "n" > cur< / span > < span class = "o" > !=< / span > < span class = "bp" > self< / span > < span class = "o" > .< / span > < span class = "n" > root< / span > < span class = "p" > :< / span >
< a id = "__codelineno-24-30" name = "__codelineno-24-30" href = "#__codelineno-24-30" > < / a > < span class = "k" > if< / span > < span class = "n" > pre< / span > < span class = "o" > .< / span > < span class = "n" > left< / span > < span class = "o" > ==< / span > < span class = "n" > cur< / span > < span class = "p" > :< / span >
< a id = "__codelineno-24-31" name = "__codelineno-24-31" href = "#__codelineno-24-31" > < / a > < span class = "n" > pre< / span > < span class = "o" > .< / span > < span class = "n" > left< / span > < span class = "o" > =< / span > < span class = "n" > child< / span >
< a id = "__codelineno-24-32" name = "__codelineno-24-32" href = "#__codelineno-24-32" > < / a > < span class = "k" > else< / span > < span class = "p" > :< / span >
< a id = "__codelineno-24-33" name = "__codelineno-24-33" href = "#__codelineno-24-33" > < / a > < span class = "n" > pre< / span > < span class = "o" > .< / span > < span class = "n" > right< / span > < span class = "o" > =< / span > < span class = "n" > child< / span >
< a id = "__codelineno-24-34" name = "__codelineno-24-34" href = "#__codelineno-24-34" > < / a > < span class = "k" > else< / span > < span class = "p" > :< / span >
< a id = "__codelineno-24-35" name = "__codelineno-24-35" href = "#__codelineno-24-35" > < / a > < span class = "c1" > # 若删除节点为根节点，则重新指定根节点< / span >
< a id = "__codelineno-24-36" name = "__codelineno-24-36" href = "#__codelineno-24-36" > < / a > < span class = "bp" > self< / span > < span class = "o" > .< / span > < span class = "n" > __root< / span > < span class = "o" > =< / span > < span class = "n" > cur< / span >
< a id = "__codelineno-24-37" name = "__codelineno-24-37" href = "#__codelineno-24-37" > < / a > < span class = "c1" > # 子节点数量 = 2< / span >
< a id = "__codelineno-24-38" name = "__codelineno-24-38" href = "#__codelineno-24-38" > < / a > < span class = "k" > else< / span > < span class = "p" > :< / span >
< a id = "__codelineno-24-39" name = "__codelineno-24-39" href = "#__codelineno-24-39" > < / a > < span class = "c1" > # 获取中序遍历中 cur 的下一个节点< / span >
< a id = "__codelineno-24-40" name = "__codelineno-24-40" href = "#__codelineno-24-40" > < / a > < span class = "n" > tmp< / span > < span class = "p" > :< / span > < span class = "n" > TreeNode< / span > < span class = "o" > =< / span > < span class = "n" > cur< / span > < span class = "o" > .< / span > < span class = "n" > right< / span >
< a id = "__codelineno-24-41" name = "__codelineno-24-41" href = "#__codelineno-24-41" > < / a > < span class = "k" > while< / span > < span class = "n" > tmp< / span > < span class = "o" > .< / span > < span class = "n" > left< / span > < span class = "ow" > is< / span > < span class = "ow" > not< / span > < span class = "kc" > None< / span > < span class = "p" > :< / span >
< a id = "__codelineno-24-42" name = "__codelineno-24-42" href = "#__codelineno-24-42" > < / a > < span class = "n" > tmp< / span > < span class = "o" > =< / span > < span class = "n" > tmp< / span > < span class = "o" > .< / span > < span class = "n" > left< / span >
< a id = "__codelineno-24-43" name = "__codelineno-24-43" href = "#__codelineno-24-43" > < / a > < span class = "c1" > # 递归删除节点 tmp< / span >
< a id = "__codelineno-24-44" name = "__codelineno-24-44" href = "#__codelineno-24-44" > < / a > < span class = "bp" > self< / span > < span class = "o" > .< / span > < span class = "n" > remove< / span > < span class = "p" > (< / span > < span class = "n" > tmp< / span > < span class = "o" > .< / span > < span class = "n" > val< / span > < span class = "p" > )< / span >
< a id = "__codelineno-24-45" name = "__codelineno-24-45" href = "#__codelineno-24-45" > < / a > < span class = "c1" > # 用 tmp 覆盖 cur< / span >
< a id = "__codelineno-24-46" name = "__codelineno-24-46" href = "#__codelineno-24-46" > < / a > < span class = "n" > cur< / span > < span class = "o" > .< / span > < span class = "n" > val< / span > < span class = "o" > =< / span > < span class = "n" > tmp< / span > < span class = "o" > .< / span > < span class = "n" > val< / span >
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< / code > < / pre > < / div >
< / div >
< div class = "tabbed-block" >
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< div class = "highlight" > < span class = "filename" > binary_search_tree.go< / span > < pre > < span > < / span > < code > < a id = "__codelineno-25-1" name = "__codelineno-25-1" href = "#__codelineno-25-1" > < / a > < span class = "cm" > /* 删除节点 */< / span >
< a id = "__codelineno-25-2" name = "__codelineno-25-2" href = "#__codelineno-25-2" > < / a > < span class = "kd" > func< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "nx" > bst< / span > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "nx" > binarySearchTree< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "nx" > remove< / span > < span class = "p" > (< / span > < span class = "nx" > num< / span > < span class = "w" > < / span > < span class = "kt" > int< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-25-3" name = "__codelineno-25-3" href = "#__codelineno-25-3" > < / a > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "w" > < / span > < span class = "o" > :=< / span > < span class = "w" > < / span > < span class = "nx" > bst< / span > < span class = "p" > .< / span > < span class = "nx" > root< / span >
< a id = "__codelineno-25-4" name = "__codelineno-25-4" href = "#__codelineno-25-4" > < / a > < span class = "w" > < / span > < span class = "c1" > // 若树为空，直接提前返回< / span >
< a id = "__codelineno-25-5" name = "__codelineno-25-5" href = "#__codelineno-25-5" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "w" > < / span > < span class = "o" > ==< / span > < span class = "w" > < / span > < span class = "kc" > nil< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-25-6" name = "__codelineno-25-6" href = "#__codelineno-25-6" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span >
< a id = "__codelineno-25-7" name = "__codelineno-25-7" href = "#__codelineno-25-7" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-25-8" name = "__codelineno-25-8" href = "#__codelineno-25-8" > < / a > < span class = "w" > < / span > < span class = "c1" > // 待删除节点之前的节点位置< / span >
< a id = "__codelineno-25-9" name = "__codelineno-25-9" href = "#__codelineno-25-9" > < / a > < span class = "w" > < / span > < span class = "kd" > var< / span > < span class = "w" > < / span > < span class = "nx" > pre< / span > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "nx" > TreeNode< / span > < span class = "w" > < / span > < span class = "p" > =< / span > < span class = "w" > < / span > < span class = "kc" > nil< / span >
< a id = "__codelineno-25-10" name = "__codelineno-25-10" href = "#__codelineno-25-10" > < / a > < span class = "w" > < / span > < span class = "c1" > // 循环查找，越过叶节点后跳出< / span >
< a id = "__codelineno-25-11" name = "__codelineno-25-11" href = "#__codelineno-25-11" > < / a > < span class = "w" > < / span > < span class = "k" > for< / span > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "w" > < / span > < span class = "o" > !=< / span > < span class = "w" > < / span > < span class = "kc" > nil< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-25-12" name = "__codelineno-25-12" href = "#__codelineno-25-12" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "p" > .< / span > < span class = "nx" > Val< / span > < span class = "w" > < / span > < span class = "o" > ==< / span > < span class = "w" > < / span > < span class = "nx" > num< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-25-13" name = "__codelineno-25-13" href = "#__codelineno-25-13" > < / a > < span class = "w" > < / span > < span class = "k" > break< / span >
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< a id = "__codelineno-25-14" name = "__codelineno-25-14" href = "#__codelineno-25-14" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
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< a id = "__codelineno-25-15" name = "__codelineno-25-15" href = "#__codelineno-25-15" > < / a > < span class = "w" > < / span > < span class = "nx" > pre< / span > < span class = "w" > < / span > < span class = "p" > =< / span > < span class = "w" > < / span > < span class = "nx" > cur< / span >
< a id = "__codelineno-25-16" name = "__codelineno-25-16" href = "#__codelineno-25-16" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "p" > .< / span > < span class = "nx" > Val< / span > < span class = "w" > < / span > < span class = "p" > < < / span > < span class = "w" > < / span > < span class = "nx" > num< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-25-17" name = "__codelineno-25-17" href = "#__codelineno-25-17" > < / a > < span class = "w" > < / span > < span class = "c1" > // 待删除节点在右子树中< / span >
< a id = "__codelineno-25-18" name = "__codelineno-25-18" href = "#__codelineno-25-18" > < / a > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "w" > < / span > < span class = "p" > =< / span > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "p" > .< / span > < span class = "nx" > Right< / span >
< a id = "__codelineno-25-19" name = "__codelineno-25-19" href = "#__codelineno-25-19" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span > < span class = "w" > < / span > < span class = "k" > else< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-25-20" name = "__codelineno-25-20" href = "#__codelineno-25-20" > < / a > < span class = "w" > < / span > < span class = "c1" > // 待删除节点在左子树中< / span >
< a id = "__codelineno-25-21" name = "__codelineno-25-21" href = "#__codelineno-25-21" > < / a > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "w" > < / span > < span class = "p" > =< / span > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "p" > .< / span > < span class = "nx" > Left< / span >
< a id = "__codelineno-25-22" name = "__codelineno-25-22" href = "#__codelineno-25-22" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-25-23" name = "__codelineno-25-23" href = "#__codelineno-25-23" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-25-24" name = "__codelineno-25-24" href = "#__codelineno-25-24" > < / a > < span class = "w" > < / span > < span class = "c1" > // 若无待删除节点，则直接返回< / span >
< a id = "__codelineno-25-25" name = "__codelineno-25-25" href = "#__codelineno-25-25" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "w" > < / span > < span class = "o" > ==< / span > < span class = "w" > < / span > < span class = "kc" > nil< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-25-26" name = "__codelineno-25-26" href = "#__codelineno-25-26" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span >
< a id = "__codelineno-25-27" name = "__codelineno-25-27" href = "#__codelineno-25-27" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-25-28" name = "__codelineno-25-28" href = "#__codelineno-25-28" > < / a > < span class = "w" > < / span > < span class = "c1" > // 子节点数为 0 或 1< / span >
< a id = "__codelineno-25-29" name = "__codelineno-25-29" href = "#__codelineno-25-29" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "p" > .< / span > < span class = "nx" > Left< / span > < span class = "w" > < / span > < span class = "o" > ==< / span > < span class = "w" > < / span > < span class = "kc" > nil< / span > < span class = "w" > < / span > < span class = "o" > ||< / span > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "p" > .< / span > < span class = "nx" > Right< / span > < span class = "w" > < / span > < span class = "o" > ==< / span > < span class = "w" > < / span > < span class = "kc" > nil< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-25-30" name = "__codelineno-25-30" href = "#__codelineno-25-30" > < / a > < span class = "w" > < / span > < span class = "kd" > var< / span > < span class = "w" > < / span > < span class = "nx" > child< / span > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "nx" > TreeNode< / span > < span class = "w" > < / span > < span class = "p" > =< / span > < span class = "w" > < / span > < span class = "kc" > nil< / span >
< a id = "__codelineno-25-31" name = "__codelineno-25-31" href = "#__codelineno-25-31" > < / a > < span class = "w" > < / span > < span class = "c1" > // 取出待删除节点的子节点< / span >
< a id = "__codelineno-25-32" name = "__codelineno-25-32" href = "#__codelineno-25-32" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "p" > .< / span > < span class = "nx" > Left< / span > < span class = "w" > < / span > < span class = "o" > !=< / span > < span class = "w" > < / span > < span class = "kc" > nil< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-25-33" name = "__codelineno-25-33" href = "#__codelineno-25-33" > < / a > < span class = "w" > < / span > < span class = "nx" > child< / span > < span class = "w" > < / span > < span class = "p" > =< / span > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "p" > .< / span > < span class = "nx" > Left< / span >
< a id = "__codelineno-25-34" name = "__codelineno-25-34" href = "#__codelineno-25-34" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span > < span class = "w" > < / span > < span class = "k" > else< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-25-35" name = "__codelineno-25-35" href = "#__codelineno-25-35" > < / a > < span class = "w" > < / span > < span class = "nx" > child< / span > < span class = "w" > < / span > < span class = "p" > =< / span > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "p" > .< / span > < span class = "nx" > Right< / span >
< a id = "__codelineno-25-36" name = "__codelineno-25-36" href = "#__codelineno-25-36" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-25-37" name = "__codelineno-25-37" href = "#__codelineno-25-37" > < / a > < span class = "w" > < / span > < span class = "c1" > // 删除节点 cur< / span >
< a id = "__codelineno-25-38" name = "__codelineno-25-38" href = "#__codelineno-25-38" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "w" > < / span > < span class = "o" > !=< / span > < span class = "w" > < / span > < span class = "nx" > bst< / span > < span class = "p" > .< / span > < span class = "nx" > root< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-25-39" name = "__codelineno-25-39" href = "#__codelineno-25-39" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "nx" > pre< / span > < span class = "p" > .< / span > < span class = "nx" > Left< / span > < span class = "w" > < / span > < span class = "o" > ==< / span > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-25-40" name = "__codelineno-25-40" href = "#__codelineno-25-40" > < / a > < span class = "w" > < / span > < span class = "nx" > pre< / span > < span class = "p" > .< / span > < span class = "nx" > Left< / span > < span class = "w" > < / span > < span class = "p" > =< / span > < span class = "w" > < / span > < span class = "nx" > child< / span >
< a id = "__codelineno-25-41" name = "__codelineno-25-41" href = "#__codelineno-25-41" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span > < span class = "w" > < / span > < span class = "k" > else< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-25-42" name = "__codelineno-25-42" href = "#__codelineno-25-42" > < / a > < span class = "w" > < / span > < span class = "nx" > pre< / span > < span class = "p" > .< / span > < span class = "nx" > Right< / span > < span class = "w" > < / span > < span class = "p" > =< / span > < span class = "w" > < / span > < span class = "nx" > child< / span >
< a id = "__codelineno-25-43" name = "__codelineno-25-43" href = "#__codelineno-25-43" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-25-44" name = "__codelineno-25-44" href = "#__codelineno-25-44" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span > < span class = "w" > < / span > < span class = "k" > else< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-25-45" name = "__codelineno-25-45" href = "#__codelineno-25-45" > < / a > < span class = "w" > < / span > < span class = "c1" > // 若删除节点为根节点，则重新指定根节点< / span >
< a id = "__codelineno-25-46" name = "__codelineno-25-46" href = "#__codelineno-25-46" > < / a > < span class = "w" > < / span > < span class = "nx" > bst< / span > < span class = "p" > .< / span > < span class = "nx" > root< / span > < span class = "w" > < / span > < span class = "p" > =< / span > < span class = "w" > < / span > < span class = "nx" > child< / span >
< a id = "__codelineno-25-47" name = "__codelineno-25-47" href = "#__codelineno-25-47" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-25-48" name = "__codelineno-25-48" href = "#__codelineno-25-48" > < / a > < span class = "w" > < / span > < span class = "c1" > // 子节点数为 2< / span >
< a id = "__codelineno-25-49" name = "__codelineno-25-49" href = "#__codelineno-25-49" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span > < span class = "w" > < / span > < span class = "k" > else< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-25-50" name = "__codelineno-25-50" href = "#__codelineno-25-50" > < / a > < span class = "w" > < / span > < span class = "c1" > // 获取中序遍历中待删除节点 cur 的下一个节点< / span >
< a id = "__codelineno-25-51" name = "__codelineno-25-51" href = "#__codelineno-25-51" > < / a > < span class = "w" > < / span > < span class = "nx" > tmp< / span > < span class = "w" > < / span > < span class = "o" > :=< / span > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "p" > .< / span > < span class = "nx" > Right< / span >
< a id = "__codelineno-25-52" name = "__codelineno-25-52" href = "#__codelineno-25-52" > < / a > < span class = "w" > < / span > < span class = "k" > for< / span > < span class = "w" > < / span > < span class = "nx" > tmp< / span > < span class = "p" > .< / span > < span class = "nx" > Left< / span > < span class = "w" > < / span > < span class = "o" > !=< / span > < span class = "w" > < / span > < span class = "kc" > nil< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-25-53" name = "__codelineno-25-53" href = "#__codelineno-25-53" > < / a > < span class = "w" > < / span > < span class = "nx" > tmp< / span > < span class = "w" > < / span > < span class = "p" > =< / span > < span class = "w" > < / span > < span class = "nx" > tmp< / span > < span class = "p" > .< / span > < span class = "nx" > Left< / span >
< a id = "__codelineno-25-54" name = "__codelineno-25-54" href = "#__codelineno-25-54" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-25-55" name = "__codelineno-25-55" href = "#__codelineno-25-55" > < / a > < span class = "w" > < / span > < span class = "c1" > // 递归删除节点 tmp< / span >
< a id = "__codelineno-25-56" name = "__codelineno-25-56" href = "#__codelineno-25-56" > < / a > < span class = "w" > < / span > < span class = "nx" > bst< / span > < span class = "p" > .< / span > < span class = "nx" > remove< / span > < span class = "p" > (< / span > < span class = "nx" > tmp< / span > < span class = "p" > .< / span > < span class = "nx" > Val< / span > < span class = "p" > )< / span >
< a id = "__codelineno-25-57" name = "__codelineno-25-57" href = "#__codelineno-25-57" > < / a > < span class = "w" > < / span > < span class = "c1" > // 用 tmp 覆盖 cur< / span >
< a id = "__codelineno-25-58" name = "__codelineno-25-58" href = "#__codelineno-25-58" > < / a > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "p" > .< / span > < span class = "nx" > Val< / span > < span class = "w" > < / span > < span class = "p" > =< / span > < span class = "w" > < / span > < span class = "nx" > tmp< / span > < span class = "p" > .< / span > < span class = "nx" > Val< / span >
< a id = "__codelineno-25-59" name = "__codelineno-25-59" href = "#__codelineno-25-59" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-25-60" name = "__codelineno-25-60" href = "#__codelineno-25-60" > < / a > < span class = "p" > }< / span >
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< / code > < / pre > < / div >
< / div >
< div class = "tabbed-block" >
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< div class = "highlight" > < span class = "filename" > binary_search_tree.js< / span > < pre > < span > < / span > < code > < a id = "__codelineno-26-1" name = "__codelineno-26-1" href = "#__codelineno-26-1" > < / a > < span class = "cm" > /* 删除节点 */< / span >
< a id = "__codelineno-26-2" name = "__codelineno-26-2" href = "#__codelineno-26-2" > < / a > < span class = "kd" > function< / span > < span class = "w" > < / span > < span class = "nx" > remove< / span > < span class = "p" > (< / span > < span class = "nx" > num< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-26-3" name = "__codelineno-26-3" href = "#__codelineno-26-3" > < / a > < span class = "w" > < / span > < span class = "c1" > // 若树为空，直接提前返回< / span >
< a id = "__codelineno-26-4" name = "__codelineno-26-4" href = "#__codelineno-26-4" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "nx" > root< / span > < span class = "w" > < / span > < span class = "o" > ===< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-26-5" name = "__codelineno-26-5" href = "#__codelineno-26-5" > < / a > < span class = "w" > < / span > < span class = "kd" > let< / span > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "nx" > root< / span > < span class = "p" > ,< / span >
< a id = "__codelineno-26-6" name = "__codelineno-26-6" href = "#__codelineno-26-6" > < / a > < span class = "w" > < / span > < span class = "nx" > pre< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-26-7" name = "__codelineno-26-7" href = "#__codelineno-26-7" > < / a > < span class = "w" > < / span > < span class = "c1" > // 循环查找，越过叶节点后跳出< / span >
< a id = "__codelineno-26-8" name = "__codelineno-26-8" href = "#__codelineno-26-8" > < / a > < span class = "w" > < / span > < span class = "k" > while< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "nx" > cur< / span > < span class = "w" > < / span > < span class = "o" > !==< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-26-9" name = "__codelineno-26-9" href = "#__codelineno-26-9" > < / a > < span class = "w" > < / span > < span class = "c1" > // 找到待删除节点，跳出循环< / span >
< a id = "__codelineno-26-10" name = "__codelineno-26-10" href = "#__codelineno-26-10" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "nx" > cur< / span > < span class = "p" > .< / span > < span class = "nx" > val< / span > < span class = "w" > < / span > < span class = "o" > ===< / span > < span class = "w" > < / span > < span class = "nx" > num< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "k" > break< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-26-11" name = "__codelineno-26-11" href = "#__codelineno-26-11" > < / a > < span class = "w" > < / span > < span class = "nx" > pre< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-26-12" name = "__codelineno-26-12" href = "#__codelineno-26-12" > < / a > < span class = "w" > < / span > < span class = "c1" > // 待删除节点在 cur 的右子树中< / span >
< a id = "__codelineno-26-13" name = "__codelineno-26-13" href = "#__codelineno-26-13" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "nx" > cur< / span > < span class = "p" > .< / span > < span class = "nx" > val< / span > < span class = "w" > < / span > < span class = "o" > < < / span > < span class = "w" > < / span > < span class = "nx" > num< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "p" > .< / span > < span class = "nx" > right< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-26-14" name = "__codelineno-26-14" href = "#__codelineno-26-14" > < / a > < span class = "w" > < / span > < span class = "c1" > // 待删除节点在 cur 的左子树中< / span >
< a id = "__codelineno-26-15" name = "__codelineno-26-15" href = "#__codelineno-26-15" > < / a > < span class = "w" > < / span > < span class = "k" > else< / span > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "p" > .< / span > < span class = "nx" > left< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-26-16" name = "__codelineno-26-16" href = "#__codelineno-26-16" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-26-17" name = "__codelineno-26-17" href = "#__codelineno-26-17" > < / a > < span class = "w" > < / span > < span class = "c1" > // 若无待删除节点，则直接返回< / span >
< a id = "__codelineno-26-18" name = "__codelineno-26-18" href = "#__codelineno-26-18" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "nx" > cur< / span > < span class = "w" > < / span > < span class = "o" > ===< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-26-19" name = "__codelineno-26-19" href = "#__codelineno-26-19" > < / a > < span class = "w" > < / span > < span class = "c1" > // 子节点数量 = 0 or 1< / span >
< a id = "__codelineno-26-20" name = "__codelineno-26-20" href = "#__codelineno-26-20" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "nx" > cur< / span > < span class = "p" > .< / span > < span class = "nx" > left< / span > < span class = "w" > < / span > < span class = "o" > ===< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "w" > < / span > < span class = "o" > ||< / span > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "p" > .< / span > < span class = "nx" > right< / span > < span class = "w" > < / span > < span class = "o" > ===< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-26-21" name = "__codelineno-26-21" href = "#__codelineno-26-21" > < / a > < span class = "w" > < / span > < span class = "c1" > // 当子节点数量 = 0 / 1 时， child = null / 该子节点< / span >
< a id = "__codelineno-26-22" name = "__codelineno-26-22" href = "#__codelineno-26-22" > < / a > < span class = "w" > < / span > < span class = "kd" > let< / span > < span class = "w" > < / span > < span class = "nx" > child< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "p" > .< / span > < span class = "nx" > left< / span > < span class = "w" > < / span > < span class = "o" > !==< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "w" > < / span > < span class = "o" > ?< / span > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "p" > .< / span > < span class = "nx" > left< / span > < span class = "w" > < / span > < span class = "o" > :< / span > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "p" > .< / span > < span class = "nx" > right< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-26-23" name = "__codelineno-26-23" href = "#__codelineno-26-23" > < / a > < span class = "w" > < / span > < span class = "c1" > // 删除节点 cur< / span >
< a id = "__codelineno-26-24" name = "__codelineno-26-24" href = "#__codelineno-26-24" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "nx" > cur< / span > < span class = "w" > < / span > < span class = "o" > !=< / span > < span class = "w" > < / span > < span class = "nx" > root< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-26-25" name = "__codelineno-26-25" href = "#__codelineno-26-25" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "nx" > pre< / span > < span class = "p" > .< / span > < span class = "nx" > left< / span > < span class = "w" > < / span > < span class = "o" > ===< / span > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "nx" > pre< / span > < span class = "p" > .< / span > < span class = "nx" > left< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "nx" > child< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-26-26" name = "__codelineno-26-26" href = "#__codelineno-26-26" > < / a > < span class = "w" > < / span > < span class = "k" > else< / span > < span class = "w" > < / span > < span class = "nx" > pre< / span > < span class = "p" > .< / span > < span class = "nx" > right< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "nx" > child< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-26-27" name = "__codelineno-26-27" href = "#__codelineno-26-27" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span > < span class = "w" > < / span > < span class = "k" > else< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-26-28" name = "__codelineno-26-28" href = "#__codelineno-26-28" > < / a > < span class = "w" > < / span > < span class = "c1" > // 若删除节点为根节点，则重新指定根节点< / span >
< a id = "__codelineno-26-29" name = "__codelineno-26-29" href = "#__codelineno-26-29" > < / a > < span class = "w" > < / span > < span class = "nx" > root< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "nx" > child< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-26-30" name = "__codelineno-26-30" href = "#__codelineno-26-30" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-26-31" name = "__codelineno-26-31" href = "#__codelineno-26-31" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-26-32" name = "__codelineno-26-32" href = "#__codelineno-26-32" > < / a > < span class = "w" > < / span > < span class = "c1" > // 子节点数量 = 2< / span >
< a id = "__codelineno-26-33" name = "__codelineno-26-33" href = "#__codelineno-26-33" > < / a > < span class = "w" > < / span > < span class = "k" > else< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-26-34" name = "__codelineno-26-34" href = "#__codelineno-26-34" > < / a > < span class = "w" > < / span > < span class = "c1" > // 获取中序遍历中 cur 的下一个节点< / span >
< a id = "__codelineno-26-35" name = "__codelineno-26-35" href = "#__codelineno-26-35" > < / a > < span class = "w" > < / span > < span class = "kd" > let< / span > < span class = "w" > < / span > < span class = "nx" > tmp< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "p" > .< / span > < span class = "nx" > right< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-26-36" name = "__codelineno-26-36" href = "#__codelineno-26-36" > < / a > < span class = "w" > < / span > < span class = "k" > while< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "nx" > tmp< / span > < span class = "p" > .< / span > < span class = "nx" > left< / span > < span class = "w" > < / span > < span class = "o" > !==< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-26-37" name = "__codelineno-26-37" href = "#__codelineno-26-37" > < / a > < span class = "w" > < / span > < span class = "nx" > tmp< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "nx" > tmp< / span > < span class = "p" > .< / span > < span class = "nx" > left< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-26-38" name = "__codelineno-26-38" href = "#__codelineno-26-38" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-26-39" name = "__codelineno-26-39" href = "#__codelineno-26-39" > < / a > < span class = "w" > < / span > < span class = "c1" > // 递归删除节点 tmp< / span >
< a id = "__codelineno-26-40" name = "__codelineno-26-40" href = "#__codelineno-26-40" > < / a > < span class = "w" > < / span > < span class = "nx" > remove< / span > < span class = "p" > (< / span > < span class = "nx" > tmp< / span > < span class = "p" > .< / span > < span class = "nx" > val< / span > < span class = "p" > );< / span >
< a id = "__codelineno-26-41" name = "__codelineno-26-41" href = "#__codelineno-26-41" > < / a > < span class = "w" > < / span > < span class = "c1" > // 用 tmp 覆盖 cur< / span >
< a id = "__codelineno-26-42" name = "__codelineno-26-42" href = "#__codelineno-26-42" > < / a > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "p" > .< / span > < span class = "nx" > val< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "nx" > tmp< / span > < span class = "p" > .< / span > < span class = "nx" > val< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-26-43" name = "__codelineno-26-43" href = "#__codelineno-26-43" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-26-44" name = "__codelineno-26-44" href = "#__codelineno-26-44" > < / a > < span class = "p" > }< / span >
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< / code > < / pre > < / div >
< / div >
< div class = "tabbed-block" >
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< div class = "highlight" > < span class = "filename" > binary_search_tree.ts< / span > < pre > < span > < / span > < code > < a id = "__codelineno-27-1" name = "__codelineno-27-1" href = "#__codelineno-27-1" > < / a > < span class = "cm" > /* 删除节点 */< / span >
< a id = "__codelineno-27-2" name = "__codelineno-27-2" href = "#__codelineno-27-2" > < / a > < span class = "kd" > function< / span > < span class = "w" > < / span > < span class = "nx" > remove< / span > < span class = "p" > (< / span > < span class = "nx" > num< / span > < span class = "o" > :< / span > < span class = "w" > < / span > < span class = "kt" > number< / span > < span class = "p" > )< / span > < span class = "o" > :< / span > < span class = "w" > < / span > < span class = "ow" > void< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
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< a id = "__codelineno-27-3" name = "__codelineno-27-3" href = "#__codelineno-27-3" > < / a > < span class = "w" > < / span > < span class = "c1" > // 若树为空，直接提前返回< / span >
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< a id = "__codelineno-27-4" name = "__codelineno-27-4" href = "#__codelineno-27-4" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "nx" > root< / span > < span class = "w" > < / span > < span class = "o" > ===< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
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< a id = "__codelineno-27-5" name = "__codelineno-27-5" href = "#__codelineno-27-5" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "p" > ;< / span >
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< a id = "__codelineno-27-6" name = "__codelineno-27-6" href = "#__codelineno-27-6" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-27-7" name = "__codelineno-27-7" href = "#__codelineno-27-7" > < / a > < span class = "w" > < / span > < span class = "kd" > let< / span > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "nx" > root< / span > < span class = "p" > ,< / span >
< a id = "__codelineno-27-8" name = "__codelineno-27-8" href = "#__codelineno-27-8" > < / a > < span class = "w" > < / span > < span class = "nx" > pre< / span > < span class = "o" > :< / span > < span class = "w" > < / span > < span class = "kt" > TreeNode< / span > < span class = "w" > < / span > < span class = "o" > |< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-27-9" name = "__codelineno-27-9" href = "#__codelineno-27-9" > < / a > < span class = "w" > < / span > < span class = "c1" > // 循环查找，越过叶节点后跳出< / span >
< a id = "__codelineno-27-10" name = "__codelineno-27-10" href = "#__codelineno-27-10" > < / a > < span class = "w" > < / span > < span class = "k" > while< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "nx" > cur< / span > < span class = "w" > < / span > < span class = "o" > !==< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-27-11" name = "__codelineno-27-11" href = "#__codelineno-27-11" > < / a > < span class = "w" > < / span > < span class = "c1" > // 找到待删除节点，跳出循环< / span >
< a id = "__codelineno-27-12" name = "__codelineno-27-12" href = "#__codelineno-27-12" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "nx" > cur< / span > < span class = "p" > .< / span > < span class = "nx" > val< / span > < span class = "w" > < / span > < span class = "o" > ===< / span > < span class = "w" > < / span > < span class = "nx" > num< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-27-13" name = "__codelineno-27-13" href = "#__codelineno-27-13" > < / a > < span class = "w" > < / span > < span class = "k" > break< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-27-14" name = "__codelineno-27-14" href = "#__codelineno-27-14" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-27-15" name = "__codelineno-27-15" href = "#__codelineno-27-15" > < / a > < span class = "w" > < / span > < span class = "nx" > pre< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-27-16" name = "__codelineno-27-16" href = "#__codelineno-27-16" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "nx" > cur< / span > < span class = "p" > .< / span > < span class = "nx" > val< / span > < span class = "w" > < / span > < span class = "o" > < < / span > < span class = "w" > < / span > < span class = "nx" > num< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-27-17" name = "__codelineno-27-17" href = "#__codelineno-27-17" > < / a > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "p" > .< / span > < span class = "nx" > right< / span > < span class = "w" > < / span > < span class = "kr" > as< / span > < span class = "w" > < / span > < span class = "nx" > TreeNode< / span > < span class = "p" > ;< / span > < span class = "w" > < / span > < span class = "c1" > // 待删除节点在 cur 的右子树中< / span >
< a id = "__codelineno-27-18" name = "__codelineno-27-18" href = "#__codelineno-27-18" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span > < span class = "w" > < / span > < span class = "k" > else< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-27-19" name = "__codelineno-27-19" href = "#__codelineno-27-19" > < / a > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "p" > .< / span > < span class = "nx" > left< / span > < span class = "w" > < / span > < span class = "kr" > as< / span > < span class = "w" > < / span > < span class = "nx" > TreeNode< / span > < span class = "p" > ;< / span > < span class = "w" > < / span > < span class = "c1" > // 待删除节点在 cur 的左子树中< / span >
< a id = "__codelineno-27-20" name = "__codelineno-27-20" href = "#__codelineno-27-20" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-27-21" name = "__codelineno-27-21" href = "#__codelineno-27-21" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-27-22" name = "__codelineno-27-22" href = "#__codelineno-27-22" > < / a > < span class = "w" > < / span > < span class = "c1" > // 若无待删除节点，则直接返回< / span >
< a id = "__codelineno-27-23" name = "__codelineno-27-23" href = "#__codelineno-27-23" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "nx" > cur< / span > < span class = "w" > < / span > < span class = "o" > ===< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-27-24" name = "__codelineno-27-24" href = "#__codelineno-27-24" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-27-25" name = "__codelineno-27-25" href = "#__codelineno-27-25" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-27-26" name = "__codelineno-27-26" href = "#__codelineno-27-26" > < / a > < span class = "w" > < / span > < span class = "c1" > // 子节点数量 = 0 or 1< / span >
< a id = "__codelineno-27-27" name = "__codelineno-27-27" href = "#__codelineno-27-27" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "nx" > cur< / span > < span class = "p" > .< / span > < span class = "nx" > left< / span > < span class = "w" > < / span > < span class = "o" > ===< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "w" > < / span > < span class = "o" > ||< / span > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "p" > .< / span > < span class = "nx" > right< / span > < span class = "w" > < / span > < span class = "o" > ===< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-27-28" name = "__codelineno-27-28" href = "#__codelineno-27-28" > < / a > < span class = "w" > < / span > < span class = "c1" > // 当子节点数量 = 0 / 1 时， child = null / 该子节点< / span >
< a id = "__codelineno-27-29" name = "__codelineno-27-29" href = "#__codelineno-27-29" > < / a > < span class = "w" > < / span > < span class = "kd" > let< / span > < span class = "w" > < / span > < span class = "nx" > child< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "p" > .< / span > < span class = "nx" > left< / span > < span class = "w" > < / span > < span class = "o" > !==< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "w" > < / span > < span class = "o" > ?< / span > < span class = "w" > < / span > < span class = "nx" > cur.left< / span > < span class = "w" > < / span > < span class = "o" > :< / span > < span class = "w" > < / span > < span class = "kt" > cur.right< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-27-30" name = "__codelineno-27-30" href = "#__codelineno-27-30" > < / a > < span class = "w" > < / span > < span class = "c1" > // 删除节点 cur< / span >
< a id = "__codelineno-27-31" name = "__codelineno-27-31" href = "#__codelineno-27-31" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "nx" > cur< / span > < span class = "w" > < / span > < span class = "o" > !=< / span > < span class = "w" > < / span > < span class = "nx" > root< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-27-32" name = "__codelineno-27-32" href = "#__codelineno-27-32" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "nx" > pre< / span > < span class = "o" > !< / span > < span class = "p" > .< / span > < span class = "nx" > left< / span > < span class = "w" > < / span > < span class = "o" > ===< / span > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-27-33" name = "__codelineno-27-33" href = "#__codelineno-27-33" > < / a > < span class = "w" > < / span > < span class = "nx" > pre< / span > < span class = "o" > !< / span > < span class = "p" > .< / span > < span class = "nx" > left< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "nx" > child< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-27-34" name = "__codelineno-27-34" href = "#__codelineno-27-34" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span > < span class = "w" > < / span > < span class = "k" > else< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-27-35" name = "__codelineno-27-35" href = "#__codelineno-27-35" > < / a > < span class = "w" > < / span > < span class = "nx" > pre< / span > < span class = "o" > !< / span > < span class = "p" > .< / span > < span class = "nx" > right< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "nx" > child< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-27-36" name = "__codelineno-27-36" href = "#__codelineno-27-36" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-27-37" name = "__codelineno-27-37" href = "#__codelineno-27-37" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span > < span class = "w" > < / span > < span class = "k" > else< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-27-38" name = "__codelineno-27-38" href = "#__codelineno-27-38" > < / a > < span class = "w" > < / span > < span class = "c1" > // 若删除节点为根节点，则重新指定根节点< / span >
< a id = "__codelineno-27-39" name = "__codelineno-27-39" href = "#__codelineno-27-39" > < / a > < span class = "w" > < / span > < span class = "nx" > root< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "nx" > child< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-27-40" name = "__codelineno-27-40" href = "#__codelineno-27-40" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-27-41" name = "__codelineno-27-41" href = "#__codelineno-27-41" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-27-42" name = "__codelineno-27-42" href = "#__codelineno-27-42" > < / a > < span class = "w" > < / span > < span class = "c1" > // 子节点数量 = 2< / span >
< a id = "__codelineno-27-43" name = "__codelineno-27-43" href = "#__codelineno-27-43" > < / a > < span class = "w" > < / span > < span class = "k" > else< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-27-44" name = "__codelineno-27-44" href = "#__codelineno-27-44" > < / a > < span class = "w" > < / span > < span class = "c1" > // 获取中序遍历中 cur 的下一个节点< / span >
< a id = "__codelineno-27-45" name = "__codelineno-27-45" href = "#__codelineno-27-45" > < / a > < span class = "w" > < / span > < span class = "kd" > let< / span > < span class = "w" > < / span > < span class = "nx" > tmp< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "p" > .< / span > < span class = "nx" > right< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-27-46" name = "__codelineno-27-46" href = "#__codelineno-27-46" > < / a > < span class = "w" > < / span > < span class = "k" > while< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "nx" > tmp< / span > < span class = "p" > .< / span > < span class = "nx" > left< / span > < span class = "w" > < / span > < span class = "o" > !==< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-27-47" name = "__codelineno-27-47" href = "#__codelineno-27-47" > < / a > < span class = "w" > < / span > < span class = "nx" > tmp< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "nx" > tmp< / span > < span class = "p" > .< / span > < span class = "nx" > left< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-27-48" name = "__codelineno-27-48" href = "#__codelineno-27-48" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-27-49" name = "__codelineno-27-49" href = "#__codelineno-27-49" > < / a > < span class = "w" > < / span > < span class = "c1" > // 递归删除节点 tmp< / span >
< a id = "__codelineno-27-50" name = "__codelineno-27-50" href = "#__codelineno-27-50" > < / a > < span class = "w" > < / span > < span class = "nx" > remove< / span > < span class = "p" > (< / span > < span class = "nx" > tmp< / span > < span class = "o" > !< / span > < span class = "p" > .< / span > < span class = "nx" > val< / span > < span class = "p" > );< / span >
< a id = "__codelineno-27-51" name = "__codelineno-27-51" href = "#__codelineno-27-51" > < / a > < span class = "w" > < / span > < span class = "c1" > // 用 tmp 覆盖 cur< / span >
< a id = "__codelineno-27-52" name = "__codelineno-27-52" href = "#__codelineno-27-52" > < / a > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "p" > .< / span > < span class = "nx" > val< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "nx" > tmp< / span > < span class = "p" > .< / span > < span class = "nx" > val< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-27-53" name = "__codelineno-27-53" href = "#__codelineno-27-53" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-27-54" name = "__codelineno-27-54" href = "#__codelineno-27-54" > < / a > < span class = "p" > }< / span >
2023-02-08 14:54:41 +08:00
< / code > < / pre > < / div >
< / div >
< div class = "tabbed-block" >
2023-06-02 02:38:32 +08:00
< div class = "highlight" > < span class = "filename" > binary_search_tree.c< / span > < pre > < span > < / span > < code > < a id = "__codelineno-28-1" name = "__codelineno-28-1" href = "#__codelineno-28-1" > < / a > < span class = "cm" > /* 删除节点 */< / span >
< a id = "__codelineno-28-2" name = "__codelineno-28-2" href = "#__codelineno-28-2" > < / a > < span class = "c1" > // 由于引入了 stdio.h ，此处无法使用 remove 关键词< / span >
< a id = "__codelineno-28-3" name = "__codelineno-28-3" href = "#__codelineno-28-3" > < / a > < span class = "kt" > void< / span > < span class = "w" > < / span > < span class = "nf" > removeNode< / span > < span class = "p" > (< / span > < span class = "n" > binarySearchTree< / span > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "n" > bst< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "n" > num< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-28-4" name = "__codelineno-28-4" href = "#__codelineno-28-4" > < / a > < span class = "w" > < / span > < span class = "c1" > // 若树为空，直接提前返回< / span >
< a id = "__codelineno-28-5" name = "__codelineno-28-5" href = "#__codelineno-28-5" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > bst< / span > < span class = "o" > -> < / span > < span class = "n" > root< / span > < span class = "w" > < / span > < span class = "o" > ==< / span > < span class = "w" > < / span > < span class = "nb" > NULL< / span > < span class = "p" > )< / span >
< a id = "__codelineno-28-6" name = "__codelineno-28-6" href = "#__codelineno-28-6" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-28-7" name = "__codelineno-28-7" href = "#__codelineno-28-7" > < / a > < span class = "w" > < / span > < span class = "n" > TreeNode< / span > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > bst< / span > < span class = "o" > -> < / span > < span class = "n" > root< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "n" > pre< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "nb" > NULL< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-28-8" name = "__codelineno-28-8" href = "#__codelineno-28-8" > < / a > < span class = "w" > < / span > < span class = "c1" > // 循环查找，越过叶节点后跳出< / span >
< a id = "__codelineno-28-9" name = "__codelineno-28-9" href = "#__codelineno-28-9" > < / a > < span class = "w" > < / span > < span class = "k" > while< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > !=< / span > < span class = "w" > < / span > < span class = "nb" > NULL< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-28-10" name = "__codelineno-28-10" href = "#__codelineno-28-10" > < / a > < span class = "w" > < / span > < span class = "c1" > // 找到待删除节点，跳出循环< / span >
< a id = "__codelineno-28-11" name = "__codelineno-28-11" href = "#__codelineno-28-11" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > cur< / span > < span class = "o" > -> < / span > < span class = "n" > val< / span > < span class = "w" > < / span > < span class = "o" > ==< / span > < span class = "w" > < / span > < span class = "n" > num< / span > < span class = "p" > )< / span >
< a id = "__codelineno-28-12" name = "__codelineno-28-12" href = "#__codelineno-28-12" > < / a > < span class = "w" > < / span > < span class = "k" > break< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-28-13" name = "__codelineno-28-13" href = "#__codelineno-28-13" > < / a > < span class = "w" > < / span > < span class = "n" > pre< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-28-14" name = "__codelineno-28-14" href = "#__codelineno-28-14" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > cur< / span > < span class = "o" > -> < / span > < span class = "n" > val< / span > < span class = "w" > < / span > < span class = "o" > < < / span > < span class = "w" > < / span > < span class = "n" > num< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-28-15" name = "__codelineno-28-15" href = "#__codelineno-28-15" > < / a > < span class = "w" > < / span > < span class = "c1" > // 待删除节点在 root 的右子树中< / span >
< a id = "__codelineno-28-16" name = "__codelineno-28-16" href = "#__codelineno-28-16" > < / a > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "o" > -> < / span > < span class = "n" > right< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-28-17" name = "__codelineno-28-17" href = "#__codelineno-28-17" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span > < span class = "w" > < / span > < span class = "k" > else< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-28-18" name = "__codelineno-28-18" href = "#__codelineno-28-18" > < / a > < span class = "w" > < / span > < span class = "c1" > // 待删除节点在 root 的左子树中< / span >
< a id = "__codelineno-28-19" name = "__codelineno-28-19" href = "#__codelineno-28-19" > < / a > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "o" > -> < / span > < span class = "n" > left< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-28-20" name = "__codelineno-28-20" href = "#__codelineno-28-20" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-28-21" name = "__codelineno-28-21" href = "#__codelineno-28-21" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-28-22" name = "__codelineno-28-22" href = "#__codelineno-28-22" > < / a > < span class = "w" > < / span > < span class = "c1" > // 若无待删除节点，则直接返回< / span >
< a id = "__codelineno-28-23" name = "__codelineno-28-23" href = "#__codelineno-28-23" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > ==< / span > < span class = "w" > < / span > < span class = "nb" > NULL< / span > < span class = "p" > )< / span >
< a id = "__codelineno-28-24" name = "__codelineno-28-24" href = "#__codelineno-28-24" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-28-25" name = "__codelineno-28-25" href = "#__codelineno-28-25" > < / a > < span class = "w" > < / span > < span class = "c1" > // 判断待删除节点是否存在子节点< / span >
< a id = "__codelineno-28-26" name = "__codelineno-28-26" href = "#__codelineno-28-26" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > cur< / span > < span class = "o" > -> < / span > < span class = "n" > left< / span > < span class = "w" > < / span > < span class = "o" > ==< / span > < span class = "w" > < / span > < span class = "nb" > NULL< / span > < span class = "w" > < / span > < span class = "o" > ||< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "o" > -> < / span > < span class = "n" > right< / span > < span class = "w" > < / span > < span class = "o" > ==< / span > < span class = "w" > < / span > < span class = "nb" > NULL< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-28-27" name = "__codelineno-28-27" href = "#__codelineno-28-27" > < / a > < span class = "w" > < / span > < span class = "cm" > /* 子节点数量 = 0 or 1 */< / span >
< a id = "__codelineno-28-28" name = "__codelineno-28-28" href = "#__codelineno-28-28" > < / a > < span class = "w" > < / span > < span class = "c1" > // 当子节点数量 = 0 / 1 时， child = nullptr / 该子节点< / span >
< a id = "__codelineno-28-29" name = "__codelineno-28-29" href = "#__codelineno-28-29" > < / a > < span class = "w" > < / span > < span class = "n" > TreeNode< / span > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "n" > child< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "o" > -> < / span > < span class = "n" > left< / span > < span class = "w" > < / span > < span class = "o" > !=< / span > < span class = "w" > < / span > < span class = "nb" > NULL< / span > < span class = "w" > < / span > < span class = "o" > ?< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "o" > -> < / span > < span class = "n" > left< / span > < span class = "w" > < / span > < span class = "o" > :< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "o" > -> < / span > < span class = "n" > right< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-28-30" name = "__codelineno-28-30" href = "#__codelineno-28-30" > < / a > < span class = "w" > < / span > < span class = "c1" > // 删除节点 cur< / span >
< a id = "__codelineno-28-31" name = "__codelineno-28-31" href = "#__codelineno-28-31" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > pre< / span > < span class = "o" > -> < / span > < span class = "n" > left< / span > < span class = "w" > < / span > < span class = "o" > ==< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-28-32" name = "__codelineno-28-32" href = "#__codelineno-28-32" > < / a > < span class = "w" > < / span > < span class = "n" > pre< / span > < span class = "o" > -> < / span > < span class = "n" > left< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > child< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-28-33" name = "__codelineno-28-33" href = "#__codelineno-28-33" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span > < span class = "w" > < / span > < span class = "k" > else< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-28-34" name = "__codelineno-28-34" href = "#__codelineno-28-34" > < / a > < span class = "w" > < / span > < span class = "n" > pre< / span > < span class = "o" > -> < / span > < span class = "n" > right< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > child< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-28-35" name = "__codelineno-28-35" href = "#__codelineno-28-35" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-28-36" name = "__codelineno-28-36" href = "#__codelineno-28-36" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span > < span class = "w" > < / span > < span class = "k" > else< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-28-37" name = "__codelineno-28-37" href = "#__codelineno-28-37" > < / a > < span class = "w" > < / span > < span class = "cm" > /* 子节点数量 = 2 */< / span >
< a id = "__codelineno-28-38" name = "__codelineno-28-38" href = "#__codelineno-28-38" > < / a > < span class = "w" > < / span > < span class = "c1" > // 获取中序遍历中 cur 的下一个节点< / span >
< a id = "__codelineno-28-39" name = "__codelineno-28-39" href = "#__codelineno-28-39" > < / a > < span class = "w" > < / span > < span class = "n" > TreeNode< / span > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "n" > tmp< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "o" > -> < / span > < span class = "n" > right< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-28-40" name = "__codelineno-28-40" href = "#__codelineno-28-40" > < / a > < span class = "w" > < / span > < span class = "k" > while< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > tmp< / span > < span class = "o" > -> < / span > < span class = "n" > left< / span > < span class = "w" > < / span > < span class = "o" > !=< / span > < span class = "w" > < / span > < span class = "nb" > NULL< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-28-41" name = "__codelineno-28-41" href = "#__codelineno-28-41" > < / a > < span class = "w" > < / span > < span class = "n" > tmp< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > tmp< / span > < span class = "o" > -> < / span > < span class = "n" > left< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-28-42" name = "__codelineno-28-42" href = "#__codelineno-28-42" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-28-43" name = "__codelineno-28-43" href = "#__codelineno-28-43" > < / a > < span class = "w" > < / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "n" > tmpVal< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > tmp< / span > < span class = "o" > -> < / span > < span class = "n" > val< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-28-44" name = "__codelineno-28-44" href = "#__codelineno-28-44" > < / a > < span class = "w" > < / span > < span class = "c1" > // 递归删除节点 tmp< / span >
< a id = "__codelineno-28-45" name = "__codelineno-28-45" href = "#__codelineno-28-45" > < / a > < span class = "w" > < / span > < span class = "n" > removeNode< / span > < span class = "p" > (< / span > < span class = "n" > bst< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "n" > tmp< / span > < span class = "o" > -> < / span > < span class = "n" > val< / span > < span class = "p" > );< / span >
< a id = "__codelineno-28-46" name = "__codelineno-28-46" href = "#__codelineno-28-46" > < / a > < span class = "w" > < / span > < span class = "c1" > // 用 tmp 覆盖 cur< / span >
< a id = "__codelineno-28-47" name = "__codelineno-28-47" href = "#__codelineno-28-47" > < / a > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "o" > -> < / span > < span class = "n" > val< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > tmpVal< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-28-48" name = "__codelineno-28-48" href = "#__codelineno-28-48" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-28-49" name = "__codelineno-28-49" href = "#__codelineno-28-49" > < / a > < span class = "p" > }< / span >
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< / code > < / pre > < / div >
< / div >
< div class = "tabbed-block" >
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< div class = "highlight" > < span class = "filename" > binary_search_tree.cs< / span > < pre > < span > < / span > < code > < a id = "__codelineno-29-1" name = "__codelineno-29-1" href = "#__codelineno-29-1" > < / a > < span class = "cm" > /* 删除节点 */< / span >
< a id = "__codelineno-29-2" name = "__codelineno-29-2" href = "#__codelineno-29-2" > < / a > < span class = "k" > void< / span > < span class = "w" > < / span > < span class = "nf" > remove< / span > < span class = "p" > (< / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "n" > num< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
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< a id = "__codelineno-29-3" name = "__codelineno-29-3" href = "#__codelineno-29-3" > < / a > < span class = "w" > < / span > < span class = "c1" > // 若树为空，直接提前返回< / span >
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< a id = "__codelineno-29-4" name = "__codelineno-29-4" href = "#__codelineno-29-4" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > root< / span > < span class = "w" > < / span > < span class = "o" > ==< / span > < span class = "w" > < / span > < span class = "k" > null< / span > < span class = "p" > )< / span >
< a id = "__codelineno-29-5" name = "__codelineno-29-5" href = "#__codelineno-29-5" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-29-6" name = "__codelineno-29-6" href = "#__codelineno-29-6" > < / a > < span class = "w" > < / span > < span class = "n" > TreeNode< / span > < span class = "o" > ?< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > root< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "n" > pre< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "k" > null< / span > < span class = "p" > ;< / span >
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< a id = "__codelineno-29-7" name = "__codelineno-29-7" href = "#__codelineno-29-7" > < / a > < span class = "w" > < / span > < span class = "c1" > // 循环查找，越过叶节点后跳出< / span >
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< a id = "__codelineno-29-8" name = "__codelineno-29-8" href = "#__codelineno-29-8" > < / a > < span class = "w" > < / span > < span class = "k" > while< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > !=< / span > < span class = "w" > < / span > < span class = "k" > null< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
2023-04-09 04:35:05 +08:00
< a id = "__codelineno-29-9" name = "__codelineno-29-9" href = "#__codelineno-29-9" > < / a > < span class = "w" > < / span > < span class = "c1" > // 找到待删除节点，跳出循环< / span >
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< a id = "__codelineno-29-10" name = "__codelineno-29-10" href = "#__codelineno-29-10" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "n" > val< / span > < span class = "w" > < / span > < span class = "o" > ==< / span > < span class = "w" > < / span > < span class = "n" > num< / span > < span class = "p" > )< / span >
< a id = "__codelineno-29-11" name = "__codelineno-29-11" href = "#__codelineno-29-11" > < / a > < span class = "w" > < / span > < span class = "k" > break< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-29-12" name = "__codelineno-29-12" href = "#__codelineno-29-12" > < / a > < span class = "w" > < / span > < span class = "n" > pre< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-29-13" name = "__codelineno-29-13" href = "#__codelineno-29-13" > < / a > < span class = "w" > < / span > < span class = "c1" > // 待删除节点在 cur 的右子树中< / span >
< a id = "__codelineno-29-14" name = "__codelineno-29-14" href = "#__codelineno-29-14" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "n" > val< / span > < span class = "w" > < / span > < span class = "o" > < < / span > < span class = "w" > < / span > < span class = "n" > num< / span > < span class = "p" > )< / span >
< a id = "__codelineno-29-15" name = "__codelineno-29-15" href = "#__codelineno-29-15" > < / a > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "n" > right< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-29-16" name = "__codelineno-29-16" href = "#__codelineno-29-16" > < / a > < span class = "w" > < / span > < span class = "c1" > // 待删除节点在 cur 的左子树中< / span >
< a id = "__codelineno-29-17" name = "__codelineno-29-17" href = "#__codelineno-29-17" > < / a > < span class = "w" > < / span > < span class = "k" > else< / span >
< a id = "__codelineno-29-18" name = "__codelineno-29-18" href = "#__codelineno-29-18" > < / a > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "n" > left< / span > < span class = "p" > ;< / span >
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< a id = "__codelineno-29-19" name = "__codelineno-29-19" href = "#__codelineno-29-19" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
2023-04-09 04:35:05 +08:00
< a id = "__codelineno-29-20" name = "__codelineno-29-20" href = "#__codelineno-29-20" > < / a > < span class = "w" > < / span > < span class = "c1" > // 若无待删除节点，则直接返回< / span >
2023-06-02 02:38:32 +08:00
< a id = "__codelineno-29-21" name = "__codelineno-29-21" href = "#__codelineno-29-21" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > ==< / span > < span class = "w" > < / span > < span class = "k" > null< / span > < span class = "w" > < / span > < span class = "o" > ||< / span > < span class = "w" > < / span > < span class = "n" > pre< / span > < span class = "w" > < / span > < span class = "o" > ==< / span > < span class = "w" > < / span > < span class = "k" > null< / span > < span class = "p" > )< / span >
< a id = "__codelineno-29-22" name = "__codelineno-29-22" href = "#__codelineno-29-22" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-29-23" name = "__codelineno-29-23" href = "#__codelineno-29-23" > < / a > < span class = "w" > < / span > < span class = "c1" > // 子节点数量 = 0 or 1< / span >
< a id = "__codelineno-29-24" name = "__codelineno-29-24" href = "#__codelineno-29-24" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "n" > left< / span > < span class = "w" > < / span > < span class = "o" > ==< / span > < span class = "w" > < / span > < span class = "k" > null< / span > < span class = "w" > < / span > < span class = "o" > ||< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "n" > right< / span > < span class = "w" > < / span > < span class = "o" > ==< / span > < span class = "w" > < / span > < span class = "k" > null< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-29-25" name = "__codelineno-29-25" href = "#__codelineno-29-25" > < / a > < span class = "w" > < / span > < span class = "c1" > // 当子节点数量 = 0 / 1 时， child = null / 该子节点< / span >
< a id = "__codelineno-29-26" name = "__codelineno-29-26" href = "#__codelineno-29-26" > < / a > < span class = "w" > < / span > < span class = "n" > TreeNode< / span > < span class = "o" > ?< / span > < span class = "w" > < / span > < span class = "n" > child< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "n" > left< / span > < span class = "w" > < / span > < span class = "o" > !=< / span > < span class = "w" > < / span > < span class = "k" > null< / span > < span class = "w" > < / span > < span class = "o" > ?< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "n" > left< / span > < span class = "w" > < / span > < span class = "p" > :< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "n" > right< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-29-27" name = "__codelineno-29-27" href = "#__codelineno-29-27" > < / a > < span class = "w" > < / span > < span class = "c1" > // 删除节点 cur< / span >
< a id = "__codelineno-29-28" name = "__codelineno-29-28" href = "#__codelineno-29-28" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > !=< / span > < span class = "w" > < / span > < span class = "n" > root< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-29-29" name = "__codelineno-29-29" href = "#__codelineno-29-29" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > pre< / span > < span class = "p" > .< / span > < span class = "n" > left< / span > < span class = "w" > < / span > < span class = "o" > ==< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "p" > )< / span >
< a id = "__codelineno-29-30" name = "__codelineno-29-30" href = "#__codelineno-29-30" > < / a > < span class = "w" > < / span > < span class = "n" > pre< / span > < span class = "p" > .< / span > < span class = "n" > left< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > child< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-29-31" name = "__codelineno-29-31" href = "#__codelineno-29-31" > < / a > < span class = "w" > < / span > < span class = "k" > else< / span >
< a id = "__codelineno-29-32" name = "__codelineno-29-32" href = "#__codelineno-29-32" > < / a > < span class = "w" > < / span > < span class = "n" > pre< / span > < span class = "p" > .< / span > < span class = "n" > right< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > child< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-29-33" name = "__codelineno-29-33" href = "#__codelineno-29-33" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span > < span class = "w" > < / span > < span class = "k" > else< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-29-34" name = "__codelineno-29-34" href = "#__codelineno-29-34" > < / a > < span class = "w" > < / span > < span class = "c1" > // 若删除节点为根节点，则重新指定根节点< / span >
< a id = "__codelineno-29-35" name = "__codelineno-29-35" href = "#__codelineno-29-35" > < / a > < span class = "w" > < / span > < span class = "n" > root< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > child< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-29-36" name = "__codelineno-29-36" href = "#__codelineno-29-36" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-29-37" name = "__codelineno-29-37" href = "#__codelineno-29-37" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-29-38" name = "__codelineno-29-38" href = "#__codelineno-29-38" > < / a > < span class = "w" > < / span > < span class = "c1" > // 子节点数量 = 2< / span >
< a id = "__codelineno-29-39" name = "__codelineno-29-39" href = "#__codelineno-29-39" > < / a > < span class = "w" > < / span > < span class = "k" > else< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-29-40" name = "__codelineno-29-40" href = "#__codelineno-29-40" > < / a > < span class = "w" > < / span > < span class = "c1" > // 获取中序遍历中 cur 的下一个节点< / span >
< a id = "__codelineno-29-41" name = "__codelineno-29-41" href = "#__codelineno-29-41" > < / a > < span class = "w" > < / span > < span class = "n" > TreeNode< / span > < span class = "o" > ?< / span > < span class = "w" > < / span > < span class = "n" > tmp< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "n" > right< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-29-42" name = "__codelineno-29-42" href = "#__codelineno-29-42" > < / a > < span class = "w" > < / span > < span class = "k" > while< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > tmp< / span > < span class = "p" > .< / span > < span class = "n" > left< / span > < span class = "w" > < / span > < span class = "o" > !=< / span > < span class = "w" > < / span > < span class = "k" > null< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-29-43" name = "__codelineno-29-43" href = "#__codelineno-29-43" > < / a > < span class = "w" > < / span > < span class = "n" > tmp< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > tmp< / span > < span class = "p" > .< / span > < span class = "n" > left< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-29-44" name = "__codelineno-29-44" href = "#__codelineno-29-44" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-29-45" name = "__codelineno-29-45" href = "#__codelineno-29-45" > < / a > < span class = "w" > < / span > < span class = "c1" > // 递归删除节点 tmp< / span >
< a id = "__codelineno-29-46" name = "__codelineno-29-46" href = "#__codelineno-29-46" > < / a > < span class = "w" > < / span > < span class = "k" > remove< / span > < span class = "p" > (< / span > < span class = "n" > tmp< / span > < span class = "p" > .< / span > < span class = "n" > val< / span > < span class = "p" > );< / span >
< a id = "__codelineno-29-47" name = "__codelineno-29-47" href = "#__codelineno-29-47" > < / a > < span class = "w" > < / span > < span class = "c1" > // 用 tmp 覆盖 cur< / span >
< a id = "__codelineno-29-48" name = "__codelineno-29-48" href = "#__codelineno-29-48" > < / a > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "n" > val< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > tmp< / span > < span class = "p" > .< / span > < span class = "n" > val< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-29-49" name = "__codelineno-29-49" href = "#__codelineno-29-49" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-29-50" name = "__codelineno-29-50" href = "#__codelineno-29-50" > < / a > < span class = "p" > }< / span >
< / code > < / pre > < / div >
< / div >
< div class = "tabbed-block" >
< div class = "highlight" > < span class = "filename" > binary_search_tree.swift< / span > < pre > < span > < / span > < code > < a id = "__codelineno-30-1" name = "__codelineno-30-1" href = "#__codelineno-30-1" > < / a > < span class = "cm" > /* 删除节点 */< / span >
< a id = "__codelineno-30-2" name = "__codelineno-30-2" href = "#__codelineno-30-2" > < / a > < span class = "p" > @< / span > < span class = "n" > discardableResult< / span >
< a id = "__codelineno-30-3" name = "__codelineno-30-3" href = "#__codelineno-30-3" > < / a > < span class = "kd" > func< / span > < span class = "nf" > remove< / span > < span class = "p" > (< / span > < span class = "n" > num< / span > < span class = "p" > :< / span > < span class = "nb" > Int< / span > < span class = "p" > )< / span > < span class = "p" > {< / span >
< a id = "__codelineno-30-4" name = "__codelineno-30-4" href = "#__codelineno-30-4" > < / a > < span class = "c1" > // 若树为空，直接提前返回< / span >
< a id = "__codelineno-30-5" name = "__codelineno-30-5" href = "#__codelineno-30-5" > < / a > < span class = "k" > if< / span > < span class = "n" > root< / span > < span class = "p" > ==< / span > < span class = "kc" > nil< / span > < span class = "p" > {< / span >
< a id = "__codelineno-30-6" name = "__codelineno-30-6" href = "#__codelineno-30-6" > < / a > < span class = "k" > return< / span >
< a id = "__codelineno-30-7" name = "__codelineno-30-7" href = "#__codelineno-30-7" > < / a > < span class = "p" > }< / span >
< a id = "__codelineno-30-8" name = "__codelineno-30-8" href = "#__codelineno-30-8" > < / a > < span class = "kd" > var< / span > < span class = "nv" > cur< / span > < span class = "p" > =< / span > < span class = "n" > root< / span >
< a id = "__codelineno-30-9" name = "__codelineno-30-9" href = "#__codelineno-30-9" > < / a > < span class = "kd" > var< / span > < span class = "nv" > pre< / span > < span class = "p" > :< / span > < span class = "n" > TreeNode< / span > < span class = "p" > ?< / span >
< a id = "__codelineno-30-10" name = "__codelineno-30-10" href = "#__codelineno-30-10" > < / a > < span class = "c1" > // 循环查找，越过叶节点后跳出< / span >
< a id = "__codelineno-30-11" name = "__codelineno-30-11" href = "#__codelineno-30-11" > < / a > < span class = "k" > while< / span > < span class = "n" > cur< / span > < span class = "o" > !=< / span > < span class = "kc" > nil< / span > < span class = "p" > {< / span >
< a id = "__codelineno-30-12" name = "__codelineno-30-12" href = "#__codelineno-30-12" > < / a > < span class = "c1" > // 找到待删除节点，跳出循环< / span >
< a id = "__codelineno-30-13" name = "__codelineno-30-13" href = "#__codelineno-30-13" > < / a > < span class = "k" > if< / span > < span class = "n" > cur< / span > < span class = "p" > !.< / span > < span class = "n" > val< / span > < span class = "p" > ==< / span > < span class = "n" > num< / span > < span class = "p" > {< / span >
< a id = "__codelineno-30-14" name = "__codelineno-30-14" href = "#__codelineno-30-14" > < / a > < span class = "k" > break< / span >
< a id = "__codelineno-30-15" name = "__codelineno-30-15" href = "#__codelineno-30-15" > < / a > < span class = "p" > }< / span >
< a id = "__codelineno-30-16" name = "__codelineno-30-16" href = "#__codelineno-30-16" > < / a > < span class = "n" > pre< / span > < span class = "p" > =< / span > < span class = "n" > cur< / span >
< a id = "__codelineno-30-17" name = "__codelineno-30-17" href = "#__codelineno-30-17" > < / a > < span class = "c1" > // 待删除节点在 cur 的右子树中< / span >
< a id = "__codelineno-30-18" name = "__codelineno-30-18" href = "#__codelineno-30-18" > < / a > < span class = "k" > if< / span > < span class = "n" > cur< / span > < span class = "p" > !.< / span > < span class = "n" > val< / span > < span class = "o" > < < / span > < span class = "n" > num< / span > < span class = "p" > {< / span >
< a id = "__codelineno-30-19" name = "__codelineno-30-19" href = "#__codelineno-30-19" > < / a > < span class = "n" > cur< / span > < span class = "p" > =< / span > < span class = "n" > cur< / span > < span class = "p" > ?.< / span > < span class = "kr" > right< / span >
< a id = "__codelineno-30-20" name = "__codelineno-30-20" href = "#__codelineno-30-20" > < / a > < span class = "p" > }< / span >
< a id = "__codelineno-30-21" name = "__codelineno-30-21" href = "#__codelineno-30-21" > < / a > < span class = "c1" > // 待删除节点在 cur 的左子树中< / span >
< a id = "__codelineno-30-22" name = "__codelineno-30-22" href = "#__codelineno-30-22" > < / a > < span class = "k" > else< / span > < span class = "p" > {< / span >
< a id = "__codelineno-30-23" name = "__codelineno-30-23" href = "#__codelineno-30-23" > < / a > < span class = "n" > cur< / span > < span class = "p" > =< / span > < span class = "n" > cur< / span > < span class = "p" > ?.< / span > < span class = "kr" > left< / span >
< a id = "__codelineno-30-24" name = "__codelineno-30-24" href = "#__codelineno-30-24" > < / a > < span class = "p" > }< / span >
< a id = "__codelineno-30-25" name = "__codelineno-30-25" href = "#__codelineno-30-25" > < / a > < span class = "p" > }< / span >
< a id = "__codelineno-30-26" name = "__codelineno-30-26" href = "#__codelineno-30-26" > < / a > < span class = "c1" > // 若无待删除节点，则直接返回< / span >
< a id = "__codelineno-30-27" name = "__codelineno-30-27" href = "#__codelineno-30-27" > < / a > < span class = "k" > if< / span > < span class = "n" > cur< / span > < span class = "p" > ==< / span > < span class = "kc" > nil< / span > < span class = "p" > {< / span >
< a id = "__codelineno-30-28" name = "__codelineno-30-28" href = "#__codelineno-30-28" > < / a > < span class = "k" > return< / span >
< a id = "__codelineno-30-29" name = "__codelineno-30-29" href = "#__codelineno-30-29" > < / a > < span class = "p" > }< / span >
< a id = "__codelineno-30-30" name = "__codelineno-30-30" href = "#__codelineno-30-30" > < / a > < span class = "c1" > // 子节点数量 = 0 or 1< / span >
< a id = "__codelineno-30-31" name = "__codelineno-30-31" href = "#__codelineno-30-31" > < / a > < span class = "k" > if< / span > < span class = "n" > cur< / span > < span class = "p" > ?.< / span > < span class = "kr" > left< / span > < span class = "p" > ==< / span > < span class = "kc" > nil< / span > < span class = "o" > ||< / span > < span class = "n" > cur< / span > < span class = "p" > ?.< / span > < span class = "kr" > right< / span > < span class = "p" > ==< / span > < span class = "kc" > nil< / span > < span class = "p" > {< / span >
< a id = "__codelineno-30-32" name = "__codelineno-30-32" href = "#__codelineno-30-32" > < / a > < span class = "c1" > // 当子节点数量 = 0 / 1 时， child = null / 该子节点< / span >
< a id = "__codelineno-30-33" name = "__codelineno-30-33" href = "#__codelineno-30-33" > < / a > < span class = "kd" > let< / span > < span class = "nv" > child< / span > < span class = "p" > =< / span > < span class = "n" > cur< / span > < span class = "p" > ?.< / span > < span class = "kr" > left< / span > < span class = "o" > !=< / span > < span class = "kc" > nil< / span > < span class = "p" > ?< / span > < span class = "n" > cur< / span > < span class = "p" > ?.< / span > < span class = "kr" > left< / span > < span class = "p" > :< / span > < span class = "n" > cur< / span > < span class = "p" > ?.< / span > < span class = "kr" > right< / span >
< a id = "__codelineno-30-34" name = "__codelineno-30-34" href = "#__codelineno-30-34" > < / a > < span class = "c1" > // 删除节点 cur< / span >
< a id = "__codelineno-30-35" name = "__codelineno-30-35" href = "#__codelineno-30-35" > < / a > < span class = "k" > if< / span > < span class = "n" > cur< / span > < span class = "o" > !=< / span > < span class = "n" > root< / span > < span class = "p" > {< / span >
< a id = "__codelineno-30-36" name = "__codelineno-30-36" href = "#__codelineno-30-36" > < / a > < span class = "k" > if< / span > < span class = "n" > pre< / span > < span class = "p" > ?.< / span > < span class = "kr" > left< / span > < span class = "p" > ===< / span > < span class = "n" > cur< / span > < span class = "p" > {< / span >
< a id = "__codelineno-30-37" name = "__codelineno-30-37" href = "#__codelineno-30-37" > < / a > < span class = "n" > pre< / span > < span class = "p" > ?.< / span > < span class = "kr" > left< / span > < span class = "p" > =< / span > < span class = "n" > child< / span >
< a id = "__codelineno-30-38" name = "__codelineno-30-38" href = "#__codelineno-30-38" > < / a > < span class = "p" > }< / span > < span class = "k" > else< / span > < span class = "p" > {< / span >
< a id = "__codelineno-30-39" name = "__codelineno-30-39" href = "#__codelineno-30-39" > < / a > < span class = "n" > pre< / span > < span class = "p" > ?.< / span > < span class = "kr" > right< / span > < span class = "p" > =< / span > < span class = "n" > child< / span >
< a id = "__codelineno-30-40" name = "__codelineno-30-40" href = "#__codelineno-30-40" > < / a > < span class = "p" > }< / span >
< a id = "__codelineno-30-41" name = "__codelineno-30-41" href = "#__codelineno-30-41" > < / a > < span class = "p" > }< / span > < span class = "k" > else< / span > < span class = "p" > {< / span >
< a id = "__codelineno-30-42" name = "__codelineno-30-42" href = "#__codelineno-30-42" > < / a > < span class = "c1" > // 若删除节点为根节点，则重新指定根节点< / span >
< a id = "__codelineno-30-43" name = "__codelineno-30-43" href = "#__codelineno-30-43" > < / a > < span class = "n" > root< / span > < span class = "p" > =< / span > < span class = "n" > cur< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-30-44" name = "__codelineno-30-44" href = "#__codelineno-30-44" > < / a > < span class = "p" > }< / span >
< a id = "__codelineno-30-45" name = "__codelineno-30-45" href = "#__codelineno-30-45" > < / a > < span class = "p" > }< / span >
< a id = "__codelineno-30-46" name = "__codelineno-30-46" href = "#__codelineno-30-46" > < / a > < span class = "c1" > // 子节点数量 = 2< / span >
< a id = "__codelineno-30-47" name = "__codelineno-30-47" href = "#__codelineno-30-47" > < / a > < span class = "k" > else< / span > < span class = "p" > {< / span >
< a id = "__codelineno-30-48" name = "__codelineno-30-48" href = "#__codelineno-30-48" > < / a > < span class = "c1" > // 获取中序遍历中 cur 的下一个节点< / span >
< a id = "__codelineno-30-49" name = "__codelineno-30-49" href = "#__codelineno-30-49" > < / a > < span class = "kd" > var< / span > < span class = "nv" > tmp< / span > < span class = "p" > =< / span > < span class = "n" > cur< / span > < span class = "p" > ?.< / span > < span class = "kr" > right< / span >
< a id = "__codelineno-30-50" name = "__codelineno-30-50" href = "#__codelineno-30-50" > < / a > < span class = "k" > while< / span > < span class = "n" > tmp< / span > < span class = "p" > ?.< / span > < span class = "kr" > left< / span > < span class = "o" > !=< / span > < span class = "kc" > nil< / span > < span class = "p" > {< / span >
< a id = "__codelineno-30-51" name = "__codelineno-30-51" href = "#__codelineno-30-51" > < / a > < span class = "n" > tmp< / span > < span class = "p" > =< / span > < span class = "n" > tmp< / span > < span class = "p" > ?.< / span > < span class = "kr" > left< / span >
< a id = "__codelineno-30-52" name = "__codelineno-30-52" href = "#__codelineno-30-52" > < / a > < span class = "p" > }< / span >
< a id = "__codelineno-30-53" name = "__codelineno-30-53" href = "#__codelineno-30-53" > < / a > < span class = "c1" > // 递归删除节点 tmp< / span >
< a id = "__codelineno-30-54" name = "__codelineno-30-54" href = "#__codelineno-30-54" > < / a > < span class = "n" > remove< / span > < span class = "p" > (< / span > < span class = "n" > num< / span > < span class = "p" > :< / span > < span class = "n" > tmp< / span > < span class = "p" > !.< / span > < span class = "n" > val< / span > < span class = "p" > )< / span >
< a id = "__codelineno-30-55" name = "__codelineno-30-55" href = "#__codelineno-30-55" > < / a > < span class = "c1" > // 用 tmp 覆盖 cur< / span >
< a id = "__codelineno-30-56" name = "__codelineno-30-56" href = "#__codelineno-30-56" > < / a > < span class = "n" > cur< / span > < span class = "p" > ?.< / span > < span class = "n" > val< / span > < span class = "p" > =< / span > < span class = "n" > tmp< / span > < span class = "p" > !.< / span > < span class = "n" > val< / span >
< a id = "__codelineno-30-57" name = "__codelineno-30-57" href = "#__codelineno-30-57" > < / a > < span class = "p" > }< / span >
< a id = "__codelineno-30-58" name = "__codelineno-30-58" href = "#__codelineno-30-58" > < / a > < span class = "p" > }< / span >
< / code > < / pre > < / div >
< / div >
< div class = "tabbed-block" >
< div class = "highlight" > < span class = "filename" > binary_search_tree.zig< / span > < pre > < span > < / span > < code > < a id = "__codelineno-31-1" name = "__codelineno-31-1" href = "#__codelineno-31-1" > < / a > < span class = "c1" > // 删除节点< / span >
2023-06-25 21:11:44 +08:00
< a id = "__codelineno-31-2" name = "__codelineno-31-2" href = "#__codelineno-31-2" > < / a > < span class = "k" > fn< / span > < span class = "w" > < / span > < span class = "n" > remove< / span > < span class = "p" > (< / span > < span class = "n" > self< / span > < span class = "o" > :< / span > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "n" > Self< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "n" > num< / span > < span class = "o" > :< / span > < span class = "w" > < / span > < span class = "n" > T< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "kt" > void< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
2023-06-02 02:38:32 +08:00
< a id = "__codelineno-31-3" name = "__codelineno-31-3" href = "#__codelineno-31-3" > < / a > < span class = "w" > < / span > < span class = "c1" > // 若树为空，直接提前返回< / span >
< a id = "__codelineno-31-4" name = "__codelineno-31-4" href = "#__codelineno-31-4" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > self< / span > < span class = "p" > .< / span > < span class = "n" > root< / span > < span class = "w" > < / span > < span class = "o" > ==< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-31-5" name = "__codelineno-31-5" href = "#__codelineno-31-5" > < / a > < span class = "w" > < / span > < span class = "kr" > var< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > self< / span > < span class = "p" > .< / span > < span class = "n" > root< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-31-6" name = "__codelineno-31-6" href = "#__codelineno-31-6" > < / a > < span class = "w" > < / span > < span class = "kr" > var< / span > < span class = "w" > < / span > < span class = "n" > pre< / span > < span class = "o" > :< / span > < span class = "w" > < / span > < span class = "o" > ?*< / span > < span class = "n" > inc< / span > < span class = "p" > .< / span > < span class = "n" > TreeNode< / span > < span class = "p" > (< / span > < span class = "n" > T< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-31-7" name = "__codelineno-31-7" href = "#__codelineno-31-7" > < / a > < span class = "w" > < / span > < span class = "c1" > // 循环查找，越过叶节点后跳出< / span >
< a id = "__codelineno-31-8" name = "__codelineno-31-8" href = "#__codelineno-31-8" > < / a > < span class = "w" > < / span > < span class = "k" > while< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > !=< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-31-9" name = "__codelineno-31-9" href = "#__codelineno-31-9" > < / a > < span class = "w" > < / span > < span class = "c1" > // 找到待删除节点，跳出循环< / span >
< a id = "__codelineno-31-10" name = "__codelineno-31-10" href = "#__codelineno-31-10" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "o" > ?< / span > < span class = "p" > .< / span > < span class = "n" > val< / span > < span class = "w" > < / span > < span class = "o" > ==< / span > < span class = "w" > < / span > < span class = "n" > num< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "k" > break< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-31-11" name = "__codelineno-31-11" href = "#__codelineno-31-11" > < / a > < span class = "w" > < / span > < span class = "n" > pre< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-31-12" name = "__codelineno-31-12" href = "#__codelineno-31-12" > < / a > < span class = "w" > < / span > < span class = "c1" > // 待删除节点在 cur 的右子树中< / span >
< a id = "__codelineno-31-13" name = "__codelineno-31-13" href = "#__codelineno-31-13" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "o" > ?< / span > < span class = "p" > .< / span > < span class = "n" > val< / span > < span class = "w" > < / span > < span class = "o" > < < / span > < span class = "w" > < / span > < span class = "n" > num< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-31-14" name = "__codelineno-31-14" href = "#__codelineno-31-14" > < / a > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "o" > ?< / span > < span class = "p" > .< / span > < span class = "n" > right< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-31-15" name = "__codelineno-31-15" href = "#__codelineno-31-15" > < / a > < span class = "w" > < / span > < span class = "c1" > // 待删除节点在 cur 的左子树中< / span >
< a id = "__codelineno-31-16" name = "__codelineno-31-16" href = "#__codelineno-31-16" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span > < span class = "w" > < / span > < span class = "k" > else< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-31-17" name = "__codelineno-31-17" href = "#__codelineno-31-17" > < / a > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "o" > ?< / span > < span class = "p" > .< / span > < span class = "n" > left< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-31-18" name = "__codelineno-31-18" href = "#__codelineno-31-18" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-31-19" name = "__codelineno-31-19" href = "#__codelineno-31-19" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-31-20" name = "__codelineno-31-20" href = "#__codelineno-31-20" > < / a > < span class = "w" > < / span > < span class = "c1" > // 若无待删除节点，则直接返回< / span >
< a id = "__codelineno-31-21" name = "__codelineno-31-21" href = "#__codelineno-31-21" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > ==< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-31-22" name = "__codelineno-31-22" href = "#__codelineno-31-22" > < / a > < span class = "w" > < / span > < span class = "c1" > // 子节点数量 = 0 or 1< / span >
< a id = "__codelineno-31-23" name = "__codelineno-31-23" href = "#__codelineno-31-23" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "o" > ?< / span > < span class = "p" > .< / span > < span class = "n" > left< / span > < span class = "w" > < / span > < span class = "o" > ==< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "w" > < / span > < span class = "k" > or< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "o" > ?< / span > < span class = "p" > .< / span > < span class = "n" > right< / span > < span class = "w" > < / span > < span class = "o" > ==< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-31-24" name = "__codelineno-31-24" href = "#__codelineno-31-24" > < / a > < span class = "w" > < / span > < span class = "c1" > // 当子节点数量 = 0 / 1 时， child = null / 该子节点< / span >
< a id = "__codelineno-31-25" name = "__codelineno-31-25" href = "#__codelineno-31-25" > < / a > < span class = "w" > < / span > < span class = "kr" > var< / span > < span class = "w" > < / span > < span class = "n" > child< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "o" > ?< / span > < span class = "p" > .< / span > < span class = "n" > left< / span > < span class = "w" > < / span > < span class = "o" > !=< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "o" > ?< / span > < span class = "p" > .< / span > < span class = "n" > left< / span > < span class = "w" > < / span > < span class = "k" > else< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "o" > ?< / span > < span class = "p" > .< / span > < span class = "n" > right< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-31-26" name = "__codelineno-31-26" href = "#__codelineno-31-26" > < / a > < span class = "w" > < / span > < span class = "c1" > // 删除节点 cur< / span >
< a id = "__codelineno-31-27" name = "__codelineno-31-27" href = "#__codelineno-31-27" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > pre< / span > < span class = "p" > .< / span > < span class = "o" > ?< / span > < span class = "p" > .< / span > < span class = "n" > left< / span > < span class = "w" > < / span > < span class = "o" > ==< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-31-28" name = "__codelineno-31-28" href = "#__codelineno-31-28" > < / a > < span class = "w" > < / span > < span class = "n" > pre< / span > < span class = "p" > .< / span > < span class = "o" > ?< / span > < span class = "p" > .< / span > < span class = "n" > left< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > child< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-31-29" name = "__codelineno-31-29" href = "#__codelineno-31-29" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span > < span class = "w" > < / span > < span class = "k" > else< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-31-30" name = "__codelineno-31-30" href = "#__codelineno-31-30" > < / a > < span class = "w" > < / span > < span class = "n" > pre< / span > < span class = "p" > .< / span > < span class = "o" > ?< / span > < span class = "p" > .< / span > < span class = "n" > right< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > child< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-31-31" name = "__codelineno-31-31" href = "#__codelineno-31-31" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-31-32" name = "__codelineno-31-32" href = "#__codelineno-31-32" > < / a > < span class = "w" > < / span > < span class = "c1" > // 子节点数量 = 2< / span >
< a id = "__codelineno-31-33" name = "__codelineno-31-33" href = "#__codelineno-31-33" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span > < span class = "w" > < / span > < span class = "k" > else< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-31-34" name = "__codelineno-31-34" href = "#__codelineno-31-34" > < / a > < span class = "w" > < / span > < span class = "c1" > // 获取中序遍历中 cur 的下一个节点< / span >
< a id = "__codelineno-31-35" name = "__codelineno-31-35" href = "#__codelineno-31-35" > < / a > < span class = "w" > < / span > < span class = "kr" > var< / span > < span class = "w" > < / span > < span class = "n" > tmp< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "o" > ?< / span > < span class = "p" > .< / span > < span class = "n" > right< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-31-36" name = "__codelineno-31-36" href = "#__codelineno-31-36" > < / a > < span class = "w" > < / span > < span class = "k" > while< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > tmp< / span > < span class = "p" > .< / span > < span class = "o" > ?< / span > < span class = "p" > .< / span > < span class = "n" > left< / span > < span class = "w" > < / span > < span class = "o" > !=< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-31-37" name = "__codelineno-31-37" href = "#__codelineno-31-37" > < / a > < span class = "w" > < / span > < span class = "n" > tmp< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > tmp< / span > < span class = "p" > .< / span > < span class = "o" > ?< / span > < span class = "p" > .< / span > < span class = "n" > left< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-31-38" name = "__codelineno-31-38" href = "#__codelineno-31-38" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
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< a id = "__codelineno-31-39" name = "__codelineno-31-39" href = "#__codelineno-31-39" > < / a > < span class = "w" > < / span > < span class = "kr" > var< / span > < span class = "w" > < / span > < span class = "n" > tmp_val< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > tmp< / span > < span class = "p" > .< / span > < span class = "o" > ?< / span > < span class = "p" > .< / span > < span class = "n" > val< / span > < span class = "p" > ;< / span >
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< a id = "__codelineno-31-40" name = "__codelineno-31-40" href = "#__codelineno-31-40" > < / a > < span class = "w" > < / span > < span class = "c1" > // 递归删除节点 tmp< / span >
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< a id = "__codelineno-31-41" name = "__codelineno-31-41" href = "#__codelineno-31-41" > < / a > < span class = "w" > < / span > < span class = "n" > self< / span > < span class = "p" > .< / span > < span class = "n" > remove< / span > < span class = "p" > (< / span > < span class = "n" > tmp< / span > < span class = "p" > .< / span > < span class = "o" > ?< / span > < span class = "p" > .< / span > < span class = "n" > val< / span > < span class = "p" > );< / span >
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< a id = "__codelineno-31-42" name = "__codelineno-31-42" href = "#__codelineno-31-42" > < / a > < span class = "w" > < / span > < span class = "c1" > // 用 tmp 覆盖 cur< / span >
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< a id = "__codelineno-31-43" name = "__codelineno-31-43" href = "#__codelineno-31-43" > < / a > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "o" > ?< / span > < span class = "p" > .< / span > < span class = "n" > val< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > tmp_val< / span > < span class = "p" > ;< / span >
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< a id = "__codelineno-31-45" name = "__codelineno-31-45" href = "#__codelineno-31-45" > < / a > < span class = "p" > }< / span >
< / code > < / pre > < / div >
< / div >
< div class = "tabbed-block" >
< div class = "highlight" > < span class = "filename" > binary_search_tree.dart< / span > < pre > < span > < / span > < code > < a id = "__codelineno-32-1" name = "__codelineno-32-1" href = "#__codelineno-32-1" > < / a > < span class = "p" > [< / span > < span class = "n" > class< / span > < span class = "p" > ]{< / span > < span class = "n" > BinarySearchTree< / span > < span class = "p" > }< / span > < span class = "o" > -< / span > < span class = "p" > [< / span > < span class = "n" > func< / span > < span class = "p" > ]{< / span > < span class = "n" > remove< / span > < span class = "p" > }< / span >
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< / div >
< / div >
< / div >
< h3 id = "_4" > 排序< a class = "headerlink" href = "#_4" title = "Permanent link" > ¶ < / a > < / h3 >
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< p > 我们知道，二叉树的中序遍历遵循“左 < span class = "arithmatex" > \(\rightarrow\)< / span > 根 < span class = "arithmatex" > \(\rightarrow\)< / span > 右”的遍历顺序，而二叉搜索树满足“左子节点 < span class = "arithmatex" > \(< \)< / span > 根节点 < span class = "arithmatex" > \(< \)< / span > 右子节点”的大小关系。因此，在二叉搜索树中进行中序遍历时，总是会优先遍历下一个最小节点，从而得出一个重要性质：< strong > 二叉搜索树的中序遍历序列是升序的< / strong > 。< / p >
< p > 利用中序遍历升序的性质，我们在二叉搜索树中获取有序数据仅需 < span class = "arithmatex" > \(O(n)\)< / span > 时间，无需额外排序，非常高效。< / p >
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< p > < img alt = "二叉搜索树的中序遍历序列" src = "../binary_search_tree.assets/bst_inorder_traversal.png" / > < / p >
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< p align = "center" > Fig. 二叉搜索树的中序遍历序列 < / p >
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< h2 id = "742" > 7.4.2. 二叉搜索树的效率< a class = "headerlink" href = "#742" title = "Permanent link" > ¶ < / a > < / h2 >
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< p > 给定一组数据，我们考虑使用数组或二叉搜索树存储。< / p >
< p > 观察可知，二叉搜索树的各项操作的时间复杂度都是对数阶，具有稳定且高效的性能表现。只有在高频添加、低频查找删除的数据适用场景下，数组比二叉搜索树的效率更高。< / p >
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< div class = "center-table" >
< table >
< thead >
< tr >
< th > < / th >
< th > 无序数组< / th >
< th > 二叉搜索树< / th >
< / tr >
< / thead >
< tbody >
< tr >
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< td > 查找元素< / td >
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< td > < span class = "arithmatex" > \(O(n)\)< / span > < / td >
< td > < span class = "arithmatex" > \(O(\log n)\)< / span > < / td >
< / tr >
< tr >
< td > 插入元素< / td >
< td > < span class = "arithmatex" > \(O(1)\)< / span > < / td >
< td > < span class = "arithmatex" > \(O(\log n)\)< / span > < / td >
< / tr >
< tr >
< td > 删除元素< / td >
< td > < span class = "arithmatex" > \(O(n)\)< / span > < / td >
< td > < span class = "arithmatex" > \(O(\log n)\)< / span > < / td >
< / tr >
< / tbody >
< / table >
< / div >
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< p > 在理想情况下，二叉搜索树是“平衡”的，这样就可以在 < span class = "arithmatex" > \(\log n\)< / span > 轮循环内查找任意节点。< / p >
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< p > 然而，如果我们在二叉搜索树中不断地插入和删除节点，可能导致二叉树退化为链表，这时各种操作的时间复杂度也会退化为 < span class = "arithmatex" > \(O(n)\)< / span > 。< / p >
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< p > < img alt = "二叉搜索树的平衡与退化" src = "../binary_search_tree.assets/bst_degradation.png" / > < / p >
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< p align = "center" > Fig. 二叉搜索树的平衡与退化 < / p >
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< h2 id = "743" > 7.4.3. 二叉搜索树常见应用< a class = "headerlink" href = "#743" title = "Permanent link" > ¶ < / a > < / h2 >
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< ul >
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< li > 用作系统中的多级索引，实现高效的查找、插入、删除操作。< / li >
< li > 作为某些搜索算法的底层数据结构。< / li >
< li > 用于存储数据流，以保持其有序状态。< / li >
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< / ul >
< h2 id = "__comments" > 评论< / h2 >
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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.sections" , "navigation.top" , "navigation.footer" , "navigation.tracking" , "search.highlight" , "search.share" , "search.suggest" , "toc.follow" ] , "search" : "../../assets/javascripts/workers/search.208ed371.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.fac441b0.min.js" > < / script >
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< script src = "../../javascripts/mathjax.js" > < / script >
< script src = "https://polyfill.io/v3/polyfill.min.js?features=es6" > < / script >
< script src = "https://cdn.jsdelivr.net/npm/mathjax@3/es5/tex-mml-chtml.js" > < / script >
< / body >
< / html >
