题意: 输入一个正整数N(<=20),接着输入N个结点的值,依次插入一颗AVL树,输出最终根结点的值. AAAAAccepted code: #define HAVE_STRUCT_TIMESPEC #include<bits/stdc++.h> using namespace std; ]; typedef struct node{ int val; node*left,*right; }; node*left_rotate(node*root){ node*tamp=root->…

* 左左就右旋,右右就左旋 #include<bits/stdc++.h> using namespace std; typedef long long ll; const int maxn = 1e9; const int maxm = 1e5 + 5; const int inf = 2147483647; using namespace std; struct node { node *left, *right; int key; }; node *LL(node *root) { no…

PAT甲级1066. Root of AVL Tree 题意: 构造AVL树,返回root点val. 思路: 了解AVL树的基本性质. AVL树 ac代码: C++ // pat1066.cpp : 定义控制台应用程序的入口点. // #include "stdafx.h" #include<iostream> #include<cstdio> #include<string> #include<algorithm> #include&l…

题目地址 https://pta.patest.cn/pta/test/16/exam/4/question/668 5-6 Root of AVL Tree   (25分) An AVL tree is a self-balancing binary search tree. In an AVL tree, the heights of the two child subtrees of any node differ by at most one; if at any time they d…

1066 Root of AVL Tree (25 分)   An AVL tree is a self-balancing binary search tree. In an AVL tree, the heights of the two child subtrees of any node differ by at most one; if at any time they differ by more than one, rebalancing is done to restore th…

PAT甲级1123. Is It a Complete AVL Tree 题意: 在AVL树中,任何节点的两个子树的高度最多有一个;如果在任何时候它们不同于一个,则重新平衡来恢复此属性.图1-4说明了旋转规则. 现在给出一系列插入, 您应该输出生成的AVL树的级别遍历序列,并告知它是否是完整的二叉树. 输入规格: 每个输入文件包含一个测试用例.对于每种情况,第一行包含正整数N(<= 20). 一行中的所有数字都以空格分隔. 输出规格: 对于每个测试用例,将键逐个插入到初始空的AVL树中.然后首先…

AVL Tree An AVL tree is a kind of balanced binary search tree. Named after their inventors, Adelson-Velskii and Landis, they were the first dynamically balanced trees to be proposed. Like red-black trees, they are not perfectly balanced, but pairs of…

AVL树 二叉查找树的树高度影响了查找的效率,需要尽量减小树的高度,AVL树正是这样的树. 一.AVL树介绍 AVL树是一棵严格自平衡的二叉查找树,1962年,发明者Adelson-Velsky和Landis发表了论文,以两个作者的名字命名了该数据结构,这是较早发明的平衡二叉树. 定义如下: 首先它是一棵二叉查找树. 任意一个节点的左右子树最大高度差为1. 由于树特征定义,我们可以计算出其高度h的上界h<=1.44log(n),也就是最坏情况下,树的高度约等于1.44log(n). 假设高度h的…

某些教程不区分普通红黑树和左倾红黑树的区别,直接将左倾红黑树拿来教学,并且称其为红黑树,因为左倾红黑树与普通的红黑树相比,实现起来较为简单,容易教学.在这里,我们区分开左倾红黑树和普通红黑树. 红黑树是一种近似平衡的二叉查找树,从2-3树或2-3-4树衍生而来.通过对二叉树节点进行染色,染色为红或黑节点,来模仿2-3树或2-3-4树的3节点和4节点,从而让树的高度减小.2-3-4树对照实现的红黑树是普通的红黑树,而2-3树对照实现的红黑树是一种变种,称为左倾红黑树,其更容易实现. 使用平衡树数据…

题目 An AVL tree is a self-balancing binary search tree. In an AVL tree, the heights of the two child subtrees of any node difer by at most one; if at any time they difer by more than one, rebalancing is done to restore this property. Figures 1-4 illus…