问题叙述性说明: 1.binary search tree它是一种二进制树的.对于key值.比当前节点左孩子少大于右子. 2.binary search tree不是自平衡树.所以,当插入数据不是非常随机时候,性能会接近O(N).N是树中节点数目; 3.理想状态下.时间复杂度是O(lgN), N是树中节点的数目: 4.以下给出一个简单的实现,并比較其和STL map的性能.一样的操作,大约耗时为STL map 的2/3. 代码例如以下: #ifndef _BINARY_SEARCH_TREE_H…

二叉树(Binary Tree)是最简单的树形数据结构,然而却十分精妙.其衍生出各种算法,以致于占据了数据结构的半壁江山.STL中大名顶顶的关联容器--集合(set).映射(map)便是使用二叉树实现.由于篇幅有限,此处仅作一般介绍(如果想要完全了解二叉树以及其衍生出的各种算法,恐怕要写8~10篇). 1)二叉树(Binary Tree) 顾名思义,就是一个节点分出两个节点,称其为左右子节点:每个子节点又可以分出两个子节点,这样递归分叉,其形状很像一颗倒着的树.二叉树限制了每个节点最多有两个子节…

@ 目录 1.二叉搜索树 1.1. 基本概念 1.2.树的节点(BinaryNode) 1.3.构造器和成员变量 1.3.公共方法(public method) 1.4.比较函数 1.5.contains 函数 1.6.findMin 1.7.findMax 1.8.insert 1.9.remove 二.完整代码实现(Java) 1.二叉搜索树 1.1. 基本概念 二叉树的一个性质是一棵平均二叉树的深度要比节点个数N小得多.分析表明其平均深度为\(\mathcal{O}(\sqrt{N})\)…

题目链接:Recover Binary Search Tree | LeetCode OJ Two elements of a binary search tree (BST) are swapped by mistake. Recover the tree without changing its structure. Note: A solution using O(n) space is pretty straight forward. Could you devise a constan…

题目链接:Validate Binary Search Tree | LeetCode OJ Given a binary tree, determine if it is a valid binary search tree (BST). Assume a BST is defined as follows: The left subtree of a node contains only nodes with keys less than the node's key. The right…

Sept. 22, 2015 学一道算法题, 经常回顾一下. 第二次重温, 决定增加一些图片, 帮助自己记忆. 在网上找他人的资料, 不如自己动手. 把从底向上树的算法搞通俗一些. 先做一个例子: 9/22/2015 Go over one example to build some muscle memory about this bottom up, O(1) solution to find the root node in subtree function. Sorted List: 1…

Given a non-empty binary search tree and a target value, find k values in the BST that are closest to the target. Note: Given target value is a floating point. You may assume k is always valid, that is: k ≤ total nodes. You are guaranteed to have onl…

Given a non-empty binary search tree and a target value, find the value in the BST that is closest to the target. Note: Given target value is a floating point. You are guaranteed to have only one unique value in the BST that is closest to the target.…

Given an array of numbers, verify whether it is the correct preorder traversal sequence of a binary search tree. You may assume each number in the sequence is unique. Follow up: Could you do it using only constant space complexity? 这道题让给了我们一个一维数组,让我们…

Given a binary search tree (BST), find the lowest common ancestor (LCA) of two given nodes in the BST. According to the definition of LCA on Wikipedia: “The lowest common ancestor is defined between two nodes v and w as the lowest node in T that has…