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崇州园区营销网站建设,新型网站建设,竞价账户托管公司哪家好,wordpress doc一、理解二叉搜索树1.1 二叉搜索树的概念若它的左子树不为空#xff0c;则左子树上所有结点的值都小于等于根结点的值#xff1b;若它的右子树不为空#xff0c;则右子树上所有结点的值都大于等于根结点的值#xff1b;它的左右子树也分别为二叉搜索树#xff1b;二叉搜索…一、理解二叉搜索树1.1 二叉搜索树的概念若它的左子树不为空则左子树上所有结点的值都小于等于根结点的值若它的右子树不为空则右子树上所有结点的值都大于等于根结点的值它的左右子树也分别为二叉搜索树二叉搜索树中可以支持插入相等的值也可以不支持插入相等的值具体看使用场景定义如下图所示就是两个搜索二叉树1.2 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)的搜索效率二、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注意时间复杂度指的是最差情况下所以时间复杂度为O(N)最差情况如图那么这样的效率显然是无法满足我们需求的因此后面博主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需要存储在支持下标随机访问的结构中并且有序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如右图所示数据越有序插入结果越坏——高度高、递归深、效率低如左图所示插入越无序的数据左右会平衡一点结果反而越好三、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如下四、二叉树搜索的插入操作详解4.1 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