AVLTree内部直接创建了一个BinarySearchTree,只是多了对BinarySearchTree的再平衡操作;平衡的动作就是AVLTree的成员函数;两种Tree公用TreeNode类型,其中TreeNode的height成员只有AVLTree会使用;两种Tree公用TreeIterator; 部分示例接口与main函数,编程实现代码通过main函数的功能测试: AVLTree.h #pragma once #include "Tree...
当在构建AVL Tree的过程中,向其中insert node的时候,首先第一步跟BST insert一样,然后第二步是要检查insert后node的2个children之间的高度差,然后根据相应的高度差来判断相应的rotation的pattern,经过旋转后,使整个Tree仍然保持AVL Tree的特性,即满足上面的2个条件,所以仍然是平衡的。由于insert,search的操作的时间复...
intmain(void){cout<<"This is an avl tree"<<endl;AvlTree* tree =newAvlTree();cout<<"please enter the node and -1 means find and -2 means delete :\n";intdata;while(true){cin>> data;if(data ==-1){//test treecin>> data;if(tree->nodeFind(tree->root, data)){cout<<"find ...
PTA Root of AVL Tree (AVL树学习) 链接https://pintia.cn/problem-sets/994805342720868352/problems/994805404939173888 AVL树与它的旋转操作 这个AVLAVLAVL树呢,它是要求每个点的左右儿子的深度差不超过111 每次插入一个结点,仅可能影响这个结点到根路径上的结点的平衡 情况(一)插入点在左子树的左子树(或右子树...
Example: Construct an AVL Tree by inserting numbers from 1 to 8. Deletion Operation in AVL Tree The deletion operation in AVL Tree is similar to deletion operation in BST. But after every deletion operation, we need to check with the Balance Factor condition. If the tree is balanced after ...
An example of a balanced avl tree is:Avl tree Operations on an AVL treeVarious operations that can be performed on an AVL tree are:Rotating the subtrees in an AVL TreeIn rotation operation, the positions of the nodes of a subtree are interchanged....
2. Every sub-tree is an AVL tree. Balance requirement for an AVL tree: the left and right sub-trees differ by at most 1 in height.An AVL tree of n nodes can have different height. For example, n = 7: So the maximal height of the AVL Tree with 7 nodes is 3. ...
AVL Tree概念之旋转 在探寻AVL Tree旋转这一概念之前,需要弄清楚的一些概念: 1、二叉搜索树(BinarySearch Tree):若树的左子树不空,则左子树上所有结点的值均小于它的根结点的值;若它的右子树不空,则右子树上所有结点的值均大于它的根结点的值;它的左、右子树也分别为二叉搜索树(Reference to二叉搜索树) ......
Example Delete the node 60 from the AVL tree shown in the following image. Solution: in this case, node B has balance factor -1. Deleting the node 60, disturbs the balance factor of the node 50 therefore, it needs to be R-1 rotated. The node C i.e. 45 becomes the root of the...
Given a self-balancing tree (AVL), code a method that returns the median. (Median: the numerical value separating the higher half of a data sample from the lower half. Example: if the series is 2,7,4,9,1,5,8,3,62,7,4,9,1,5,8,3,6 then the median is 55.) Now I have a...