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1. OverviewRed black tree is a self-balancing binary lookup tree, similar to the red black tree and the AVL tree, which maintains the balance of the binary lookup tree with specific actions when inserting and deleting operations, resulting in higher lookup performance.Although it is complex, its worst-case run time is also very good, and is efficient in practice: it can be found, inserted and deleted in O (

Before we learn binary search tree when hair now in some cases its height is not very uniform, and sometimes degenerate into a long chain, so we quoted some "balanced" two-fork search tree. The red and black tree is a "balanced" two-fork search tree, which ensures that in the worst case, the time complexity of the basic dynamic set operation is O (NLGN) by attaching the color bits and paths on each node. The following summarizes the nature of the red

http://cmsblogs.com/?p=1013 original source.TreeMap implementation is the implementation of red-black tree algorithm, so to understand the treemap must have a certain understanding of red and black trees, in fact, the name of this blog is called: According to the red-black tree algorithm to analyze the implementation of TREEMAP, But it's better to be consistent w

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A red-black tree is a two-prong search tree with color attributes for each node, with a color of red or black. In addition to the general requirements of the binary search tree, we have added the following additional requirements for any valid red-black tree:Nature 1. The nodes are red or black.Nature 2. The root is black.Nature 3. All leaves are

First, the problem descriptionImplement two of the 3 types of trees: red-black, AVL, treapSecond, the principle of the algorithm(1) Red and black treesA red-black tree is a binary lookup tree, but adds a storage bit to each node that represents the color of the node, which can be red or black. The red and

Author: July January 9, 2011 ----------------------------- Reference:I. The Art of Computer Programming Volume III. Introduction to Algorithms, Second EditionIII. The Annotated STL SourcesIV. WikipediaV, Algorithms In C Third Edition VI. My first three articles on the red and black trees: Article 1: teach you a thorough understanding of the red and black trees: Http://www.bkjia.com/kf/201104/87322.html Arti

OverviewAbout the basic knowledge of red and black trees in the previous article has been introduced, want to learn more about red and black tree can refer to the article "Data structure-red black tree", here is only simple to nginx in the red and black tree source of the analysis, Nginx red and

Http://www.cnblogs.com/yangecnu/p/3627386.htmlThe previous article introduced the 2-3 lookup tree, you can see that the 2-3 find tree can ensure that after inserting elements can maintain the balance of the tree, the worst case is all the child nodes are 2-node, the height of the tree is LGN, thus guaranteeing the worst case of time complexity. However, 2-3 trees are more complex to implement, this paper introduces a simple implementation of 2-3 tree data structure, that is, red-

The previous article introduced the 2-3 lookup tree, you can see that the 2-3 find tree can ensure that after inserting elements can maintain the balance of the tree, the worst case is all the child nodes are 2-node, the height of the tree is LGN, thus guaranteeing the worst case of time complexity. However, 2-3 trees are more complex to implement, this paper introduces a simple implementation of 2-3 tree data structure, that is, red-black trees (red-

subtree of the parent node of P.(3) If the left and right subtrees of the deleted node p are not empty, there are two ways: Set PL to the left or right child node of P's parent node Q (depending on p is the left and right child node of its parent node Q), set PR to the right child node of the middle order forward node s of the P node (s is the most right node of PL, which is the largest node in the PL subtree). In order to replace the point of P node with the pre-order or successor

Delete operations are more complex than inserts. First, let's look at some of the characteristics of red and black trees. These are my random list, for everyone's reference.1, the red node Father black child must be black. (Nil is a black node)2, single branch node, can only be bla