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Http://www.nctvu.cn/kejian/sjjg/7.6.htm7.6 AVL Tree
7.6.1 AVL Tree Definition
Highly balanced binary search tree
An AVL Tree, an empty tree, or a binary search tree with the following properties: Its left and right subtree are both AVL trees, the absolute value of the heigh
Copy Code code as follows:
/**
* Objective: To achieve AVL
* Using arrays to simplify the code for the left and right son, but the mental difficulty is increased a lot, only suitable for the ACM template
* In fact, AVL in the ACM basically do not need to be treap replaced
* AVL generally only requires understanding of ideas, do not require writing code,
AVL Tree ---- java
AVL Tree ---- java
AVL Tree is a highly balanced binary search tree.
1. Single rotation LL Rotation
Understanding memory:1. The imbalance caused by insertion of the left child on the unbalanced node is LL.
private AVLTreeNode
leftLeftRotation(AVLTreeNode
k2) { AVLTreeNode
k1; k1 = k2.left; k2.left = k1.right;
The AVL tree is the first self-balancing Binary Search Tree invented. Its time complexity for addition, deletion, and query is O (logn), which is a very efficient data structure. The AVL tree is very suitable for scenarios such as frequent search and frequent addition and deletion. [Blog: http://blog.csdn.net/thisinnocence]
AVL Tree was born in 1962 and was inven
Reference Link: http://blog.csdn.net/cjbct/article/details/53613436
The most important thing in the AVL tree is to rebalance the tree, which we call a process of rotation. The rotation consists of four kinds, mainly due to the insertion position. The process of rotation can be seen in the comments section of the code (569 lines-639 lines), with a detailed explanation.
In this writing process, the C + + template class definition and function impleme
Introduced:In computer science, AVL trees are the first to invent self-balancing binary search trees.The height of the two subtrees of any node in the AVL tree is the maximum difference of one, so it is also called a height-balanced tree.Find, insert, and delete are O (log n) in both the average and worst case scenarios. Additions and deletions may require one or more tree rotations to rebalance the tree. T
2 and 4.After rotation:
3 / 2 4
In this way .. In fact, it is often more complicated than this, but it is essentially like this.Implementation Code:
//// AVL. h // AVL // created by Alps on 14-8-7. // copyright (c) 2014 Chen. all rights reserved. // # ifndef avl_avl_h # define elementtype intstruct treenode; typedef treenode * aVL; typedef treenode * positi
Why did Linux use the AVL tree earlier and then prefer the red-black tree?In fact, this is a result of the usefulness of the red and black trees, this essay is still a metaphysical point of view. Red and black trees can be exported directly from 2-3 trees. We can not mention the red and black trees, but only 2-3 trees. Since the operation of the 2-3 tree is too simple. In addition, whatever the operation and characteristics of the red-black tree can b
large range, not only indicates the AVL Tree, because the balance of the tree is not an absolute measurement standard. The general significance of "balance" is that no node is too deep (the depth is too large), and different balancing conditions correspond to different tree types, which also shows different efficiency. There are many types of balanced binary trees, such as AVL-tree, Rb-tree, and AA-tree.
B
AVL two fork Tree java,c,c++ write. Write parallel binary Tree programming jobsAssignment 1:avl splay TreesComp2003j:data Structures and Algorithms 2weight:10% of final GradeDue date:08:00 Monday May 7th 2018Document version:1.0IntroductionThis assignment are intended to give you experience implementing, AVL andSplay trees. It's also a good exercise to gain expe
Why did Linux use the AVL tree earlier and then prefer the red-black tree?In fact, this is the result of the pragmatism of the red and black tree, and this essay remains a metaphysical point of view. Red and black trees can be exported directly from 2-3 trees, we can no longer mention the red and black trees, but only 2-3 trees, because the operation of the 2-3 tree is too simple. In addition, the operation and characteristics of any red-black tree ca
Why did Linux use the AVL tree earlier and then prefer the red-black tree?In fact, this is the result of the pragmatism of the red and black tree, and this essay remains a metaphysical point of view. Red and black trees can be exported directly from 2-3 trees, we can no longer mention the red and black trees, but only 2-3 trees, because the operation of the 2-3 tree is too simple. In addition, the operation and characteristics of any red-black tree ca
AVL Tree----JavaAVL Tree is a highly balanced two-fork search tree1. Single Rotation ll rotationUnderstanding Memory:1. The left child of the left child of the unbalanced node is inserted caused by the imbalance, so called llPrivate avltreenode2. Single Rotation RRUnderstanding Memory:1. The right child of the unbalanced node has an imbalance caused by child insertion, so called RRPrivate avltreenode3. Dual rotation LRUnderstanding Memory:1. The left
Balanced binary sorting treeBalanced binary sorting tree (Balanced binary sort trees), previous blog "Data structure" binary sort tree BST spoke BST, and at the end we said that the operation on BST would not exceed O (h), since tree height is so important, So Bbst's study is to make the depth of the tree reach O (LGN) within an acceptable range.n nodes of the two-tree, the height of the LGN to remove the time limit, the tree is ideal balance, meet such conditions of the tree only a complete bin
The binary lookup tree may be N-1 in the worst case, that is, the element inserted after inserting the element is always larger or smaller than the previously inserted element. To solve this imbalance, the equilibrium condition was introduced to limit the depth of the nodes in the tree, the oldest of which is called the AVL tree. This tree limits the height of the left and right subtrees of each node in the tree to no more than one. (another stricter
AVL TreeIs the first self-balancing Binary Search Tree. The height of the two Subtrees on any node in the AVL tree is the largest difference, so it is also called the height balancing tree. Search, insert, and delete are both O (LogN). Adding or deleting a tree may require one or more tree rotations to rebalance the tree. The AVL Tree is named after its inventor
1 Introduction
The role of CAD has been agreed upon. But the actual benefit of the play, in different areas of the gap is very large, especially the introduction of high-end CAD workstation system development and application, the gap is even greater. At present, some new concepts have appeared in the application and popularization of CAD technology, and some new
The AVL tree is a highly balanced two-fork search tree, with the height of the left and right trees of each node not greater than 1. This nature makes the search efficiency of the AVL tree higher than the average two-fork search tree, because for a set of incrementing arrays, the two-fork search tree is a linked list, the search time complexity is naturally o (n), and its composition of the
AVL Tree Introduction avl tree is a highly balanced two-fork tree that adds members to each node of the tree while defining each node of the tree Span style= "font-family: ' The song Body '; > balance factor bf avl The tree requires that the height difference of the subtree of all nodes does not exceed the 2, BF 2 When we insert a new node, th
This article comes from a question I answered on the understandingAVL tree, red-black tree, B-tree, + + tree, Trie tree are each used in which realistic scenes?After reading, you may understand the general principles of these data structures and why they are used in these scenarios, and the article does not involve specific actions (such as insert deletion, etc.)
Catalogue
AVL Tree
The principle and application of
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