12. binary search Trees

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12. binary search Trees

12. binary search Trees The search tree data structure supports many dynamic-set operations,including search ,minimum,maximum,predecessor,successor ,insert ,and delete. Thus, we can use a search tree both as a dictionary and as a priority queue.…

Method for balancing binary search trees

Method for balancing a binary search tree. A computer implemented method for balancing a binary search tree includes locating a node in a binary search tree, determining whether a depth of the located node is greater than a threshold, and performing…

【二叉查找树】02不同的二叉查找树个数II【Unique Binary Search Trees II】

提到二叉查找树,就得想到二叉查找树的递归定义, 左子树的节点值都小于根节点,右子树的节点值都大于根节点. ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ 给定一个n,问有多少个不同的二叉查找树,使得每个节点的值为 1...n? 例如, 给定n=3,你的程序应该返回所有的这5个不同的二叉排序树的个数. 1 3 3 2 1 \ / / / \ \ 3 2 1 1 3 2 / / \…

【二叉查找树】01不同的二叉查找树的个数【Unique Binary Search Trees】

当数组为1,2,3,4,...,n时,基于以下原则构建的BST树具有唯一性: 以i为根节点的树,其左子树由[1,i-1]构成,其右子树由[i+1, n]构成. 我们假定f(i)为以[1,i]能产生的Unique Binary Search Tree的数目,则如果数组为空,毫无疑问,只有一种BST,即空树,f(0)=1. 如果数组仅有一个元素1,只有一种BST,单个节点,f(1)=1. 如果数组有两个元素1,2,那么有如下两种可能: 1 2 \ /…

【LeetCode】96. Unique Binary Search Trees 解题报告（Python & C++）

作者: 负雪明烛 id: fuxuemingzhu 个人博客: http://fuxuemingzhu.cn/ 目录题目描述题目大意解题方法记忆化递归动态规划卡特兰数日期题目地址:https://leetcode.com/problems/unique-binary-search-trees/description/ 题目描述 Given n, how many structurally unique BST's (binary search trees) that store…

[LeetCode] Unique Binary Search Trees 独一无二的二叉搜索树

Given n, how many structurally unique BST's (binary search trees) that store values 1...n? For example,Given n = 3, there are a total of 5 unique BST's. 1 3 3 2 1 \ / / / \ \ 3 2 1 1 3 2 / / \ \ 2 1 2 3 这道题实际上是Catalan Number卡塔兰数的一个例子,如果对卡塔兰数不熟悉的童鞋可能真…

[LeetCode] Unique Binary Search Trees II 独一无二的二叉搜索树之二

Given n, generate all structurally unique BST's (binary search trees) that store values 1...n. For example,Given n = 3, your program should return all 5 unique BST's shown below. 1 3 3 2 1 \ / / / \ \ 3 2 1 1 3 2 / / \ \ 2 1 2 3 confused what "{1,#,2…