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服饰团购网站建设,化妆品包装设计,物联网解决方案,做网站代刷能赚多少钱1.2 博主手记#xff1a;核心特性1.2.1 多元化的结构#xff1a; 灵活的数据结构BST支持动态数据集合的高效操作#xff0c;适合频繁插入、删除和查找的场景。1.2.2 天然的搜索优势#xff1a;擅长搜索的数据结构利用二叉树的分支特性#xff0c;BST在平均情况下能实现O(l…1.2 博主手记核心特性1.2.1 多元化的结构 灵活的数据结构BST支持动态数据集合的高效操作适合频繁插入、删除和查找的场景。1.2.2 天然的搜索优势擅长搜索的数据结构利用二叉树的分支特性BST在平均情况下能实现O(logn)的搜索效率。2 ~ 二叉搜索树性能分析2.1 时间复杂度分析最优情况下二叉搜索树为完全二叉树或者接近完全二叉树其高度为logN最差情况下二叉搜索树退化为单支树或者类似单支其高度为N所以综合而言二叉搜索树增删查改时间复杂度为O(N)。那么这样的效率显然是无法满足我们需求的因此后面艾莉丝会介绍二叉搜索树的变形——平衡二叉搜索树AVL树和红黑树才能适用于我们在内存中存储和搜索数据。2.2 二分查找的局限性另外需要说明的是二分查找也可以实现O(logN)级别的查找效率但是二分查找有两大缺陷——1需要存储在支持下标随机访问的结构中并且有序 2插入和删除数据效率很低因为存储在下标随机访问的结构中插入和删除数据一般需要挪动数据。1数据越有序插入结果越坏——高度高、递归深、效率低如右图所示2插入越无序的数据左右会平衡一点结果反而越好如左图所示2.3 博主手记性能优化要点3 ~ 实现二叉搜索树的定义3.1 命名规范二叉搜索树常简写为BST提高代码可读性SBT不好听二叉搜索树也叫搜索二叉树。3.2 定义节点代码语言javascriptAI代码解释templateclass K struct BSTreeNode { BSTreeNodeK* _left; BSTreeNodeK* _right; K _key; BSTreeNode(const K key) : _left(nullptr), _right(nullptr), _key(key) {} };3.3 实践完整的类定义提供插入、查找、删除等基本操作的接口设计。4 ~ 二叉树搜索的插入操作详解4.1 插入算法流程从根节点开始根据键值大小选择左子树或右子树直到找到空位置插入新节点。插入分成以下三种情况——1树为空则直接新增结点赋值给root指针 2树不空按二叉搜索树性质插入值比当前结点大就往右走插入值比当前结点小就往左走找到空位置插入新结点 3如果支持插入相等的值插入值跟当前结点相等的值可以往右走也可以往左走找到空位置插入新结点要注意保持逻辑一致性插入相等的值不要一会往右走一会又往左走。www.dongchedi.com/article/7587488547058680345www.dongchedi.com/article/7587487777604928025www.dongchedi.com/article/7587488467262194238www.dongchedi.com/article/7587488470105539097www.dongchedi.com/article/7587489021828891161www.dongchedi.com/article/7587487962489930265www.dongchedi.com/article/7587488595251135038www.dongchedi.com/article/7587490254530626072www.dongchedi.com/article/7587488911019180569www.dongchedi.com/article/7587489665255817752www.dongchedi.com/article/7587489332970750489www.dongchedi.com/article/7587489674844095038www.dongchedi.com/article/7587492669031678488www.dongchedi.com/article/7587489765457560126www.dongchedi.com/article/7587491319141483070www.dongchedi.com/article/7587488532659749438www.dongchedi.com/article/7587485472688489022www.dongchedi.com/article/7587487046265455166www.dongchedi.com/article/7587488605321691672www.dongchedi.com/article/7587497197701218841www.dongchedi.com/article/7587496699032453656www.dongchedi.com/article/7587491319141483070www.dongchedi.com/article/7587486464255394328www.dongchedi.com/article/7587487492769841688book.wmpiwfa.cn/ArTicle/517113.shtmlbook.wmpiwfa.cn/ArTicle/153373.shtmlbook.wmpiwfa.cn/ArTicle/571359.shtmlbook.wmpiwfa.cn/ArTicle/137337.shtmlbook.wmpiwfa.cn/ArTicle/775791.shtmlbook.wmpiwfa.cn/ArTicle/397153.shtmlbook.wmpiwfa.cn/ArTicle/571197.shtmlbook.wmpiwfa.cn/ArTicle/573919.shtmlbook.wmpiwfa.cn/ArTicle/571393.shtmlbook.wmpiwfa.cn/ArTicle/400713.shtmlbook.wmpiwfa.cn/ArTicle/537977.shtmlbook.wmpiwfa.cn/ArTicle/179517.shtmlbook.wmpiwfa.cn/ArTicle/391135.shtmlbook.wmpiwfa.cn/ArTicle/797773.shtmlbook.wmpiwfa.cn/ArTicle/513456.shtmlbook.wmpiwfa.cn/ArTicle/971315.shtmlbook.wmpiwfa.cn/ArTicle/126436.shtmlbook.wmpiwfa.cn/ArTicle/313535.shtmlbook.wmpiwfa.cn/ArTicle/795591.shtmlbook.wmpiwfa.cn/ArTicle/117317.shtmlbook.wmpiwfa.cn/ArTicle/833713.shtmlbook.wmpiwfa.cn/ArTicle/519777.shtmlbook.wmpiwfa.cn/ArTicle/111179.shtmlbook.wmpiwfa.cn/ArTicle/643953.shtmlbook.wmpiwfa.cn/ArTicle/315999.shtmlbook.wmpiwfa.cn/ArTicle/391515.shtmlbook.wmpiwfa.cn/ArTicle/379797.shtmlbook.wmpiwfa.cn/ArTicle/371115.shtmlbook.wmpiwfa.cn/ArTicle/977957.shtmlbook.wmpiwfa.cn/ArTicle/935195.shtmlbook.wmpiwfa.cn/ArTicle/139711.shtmlbook.wmpiwfa.cn/ArTicle/975993.shtmlbook.wmpiwfa.cn/ArTicle/973717.shtmlbook.wmpiwfa.cn/ArTicle/873542.shtmlbook.wmpiwfa.cn/ArTicle/573313.shtmlbook.wmpiwfa.cn/ArTicle/331111.shtmlbook.wmpiwfa.cn/ArTicle/779355.shtmlbook.wmpiwfa.cn/ArTicle/399199.shtmlbook.wmpiwfa.cn/ArTicle/193599.shtmlbook.wmpiwfa.cn/ArTicle/937113.shtmlbook.wmpiwfa.cn/ArTicle/591779.shtmlbook.wmpiwfa.cn/ArTicle/733511.shtmlbook.wmpiwfa.cn/ArTicle/177513.shtmlbook.wmpiwfa.cn/ArTicle/977393.shtmlbook.wmpiwfa.cn/ArTicle/191773.shtmlbook.wmpiwfa.cn/ArTicle/339339.shtmlbook.wmpiwfa.cn/ArTicle/913773.shtmlbook.wmpiwfa.cn/ArTicle/191919.shtmlbook.wmpiwfa.cn/ArTicle/339519.shtmlbook.wmpiwfa.cn/ArTicle/379995.shtmlbook.wmpiwfa.cn/ArTicle/595935.shtmlbook.wmpiwfa.cn/ArTicle/533155.shtmlbook.wmpiwfa.cn/ArTicle/711175.shtmlbook.wmpiwfa.cn/ArTicle/993993.shtmlbook.wmpiwfa.cn/ArTicle/737191.shtmlbook.wmpiwfa.cn/ArTicle/735139.shtmlbook.wmpiwfa.cn/ArTicle/977717.shtmlbook.wmpiwfa.cn/ArTicle/735371.shtmlbook.wmpiwfa.cn/ArTicle/131939.shtmlbook.wmpiwfa.cn/ArTicle/393995.shtmlbook.wmpiwfa.cn/ArTicle/195315.shtmlbook.wmpiwfa.cn/ArTicle/391971.shtmlbook.wmpiwfa.cn/ArTicle/197713.shtmlbook.wmpiwfa.cn/ArTicle/711531.shtmlbook.wmpiwfa.cn/ArTicle/773355.shtmlbook.wmpiwfa.cn/ArTicle/979731.shtmlbook.wmpiwfa.cn/ArTicle/917991.shtmlbook.wmpiwfa.cn/ArTicle/997711.shtmlbook.wmpiwfa.cn/ArTicle/375551.shtmlbook.wmpiwfa.cn/ArTicle/995151.shtmlbook.wmpiwfa.cn/ArTicle/937339.shtmlbook.wmpiwfa.cn/ArTicle/319337.shtmlbook.wmpiwfa.cn/ArTicle/337779.shtmlbook.wmpiwfa.cn/ArTicle/971977.shtmlbook.wmpiwfa.cn/ArTicle/377155.shtmlbook.wmpiwfa.cn/ArTicle/025362.shtmlbook.wmpiwfa.cn/ArTicle/771915.shtmlbook.wmpiwfa.cn/ArTicle/315599.shtmlbook.wmpiwfa.cn/ArTicle/551153.shtmlbook.wmpiwfa.cn/ArTicle/351524.shtmlbook.wmpiwfa.cn/ArTicle/337777.shtmlbook.wmpiwfa.cn/ArTicle/513595.shtmlbook.wmpiwfa.cn/ArTicle/717193.shtmlbook.wmpiwfa.cn/ArTicle/973195.shtmlbook.wmpiwfa.cn/ArTicle/575597.shtmlbook.wmpiwfa.cn/ArTicle/115399.shtmlbook.wmpiwfa.cn/ArTicle/337317.shtmlbook.wmpiwfa.cn/ArTicle/199311.shtmlbook.wmpiwfa.cn/ArTicle/777197.shtmlbook.wmpiwfa.cn/ArTicle/535993.shtmlbook.wmpiwfa.cn/ArTicle/937335.shtmlbook.wmpiwfa.cn/ArTicle/355739.shtmlbook.wmpiwfa.cn/ArTicle/771351.shtmlbook.wmpiwfa.cn/ArTicle/537755.shtmlbook.wmpiwfa.cn/ArTicle/355737.shtmlbook.wmpiwfa.cn/ArTicle/353359.shtmlbook.wmpiwfa.cn/ArTicle/193715.shtmlbook.wmpiwfa.cn/ArTicle/177777.shtmlbook.wmpiwfa.cn/ArTicle/995511.shtmlbook.wmpiwfa.cn/ArTicle/111791.shtmlbook.wmpiwfa.cn/ArTicle/753551.shtmlbook.wmpiwfa.cn/ArTicle/535957.shtmlbook.wmpiwfa.cn/ArTicle/991593.shtmlbook.wmpiwfa.cn/ArTicle/591348.shtmlbook.wmpiwfa.cn/ArTicle/191177.shtmlbook.wmpiwfa.cn/ArTicle/979571.shtmlbook.wmpiwfa.cn/ArTicle/133159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