Binary search Tree(i) ConceptA binary search tree is a node-ordered two-fork tree,(1) The value of the left branch node of the root node is small.(2) The right branch node value is greater than the root node value(3) All sub-trees are also two-fork search treeSelf-balancing binary search treeBalanced binary tree: a two-fork search tree with a depth difference of not more than 1 for all leaf nodesSelf-balancing binary search tree: Refers to a two-fork search tree whose operations are trying to ma
Rotation
Shows how single rotation is performed for scenario 1. The left side is before rotation, and the right side is after rotation. In the tree on the left, a new node is inserted in subtree X so that node k2 no longer meets AVL's balanced nature, because its left subtree is two layers deeper than the right subtree (the dotted line in the middle of the graph represents the layers of the tree ).
Demonstrate single rotation correction in case 4:
Double Rotation
For "internal" situations, ro
The dynamic look-up trees in our presentation are: Two fork search tree (BST), Balanced binary search tree (AVL), Red black Tree (RBT), b~/b+ tree (b-tree). These four kinds of trees have the following advantages:(1) are dynamic structures. There is no need to completely rebuild the original index tree when deleting or inserting an operation. The most is to perform a certain amount of rotation, discoloratio
Analysis of insertion and traversal time complexity of red and black treesIn the usual work, the most common kind of data structure is probably std::map. Therefore, it is necessary to analyze the time complexity of the program, and to achieve the bottom of the mind when writing programs.First, theoretical analysisIn STL, STD::MAP and Std::set are implemented by red
ObjectiveThe first feeling is that the difference between the AVL tree is not particularly large, not very intuitive to feel the huge increase in efficiency, as a small obsessive-compulsive patients, or AVL tree more beautiful.But the truth is, the balance is destroyed in the same situation, the red and black trees are really less some of the rotation ...Because the balance is broken when the node is insert
I recently read the source code of SGI STL. The implementation of the red and black trees is relatively technical, but the standard library is bundled with Allocator and iterator (dedicated to rb_tree), which uses many template variables, it can process multiple data types. These situations are not a problem for those who have a solid C ++ foundation, but it is a little difficult for general beginners who a
Red-black tree, is a special nature of the two-fork search tree, node, either red or blackThe root node is black.The leaf node is black.If a node is red, then its two sons are blackFor any node, each path of its leaf node tree trailing NIL pointer contains a black node of th
The red and black tree satisfies the nature:* * node is not red or black.* *. The root node is black.All null junctions are called leaf nodes, and the color is considered black.All red nodes have a black child node.A. All paths fr
The red and black tree is a binary search tree, which adds a storage bit on each node to represent the color of the node, which can be red or black. By constraining any color from the root to the leaf's simple path, the red-black
: When a node is full, if its next sibling node is not full, move part of the data to the sibling node, and then insert a keyword into the original node, finally, modify the keywords of the sibling node in the parent node (because the keyword range of the sibling node has changed). If the sibling node is full, add a new node between the original and sibling nodes, copy 1/3 of the data each to the new node, and add a pointer to the new node at the parent node;
Therefore, the probability of B * tr
The previous article introduced the 2-3 lookup tree, and you can see that the 2-3 lookup tree can ensure that the tree is balanced after inserting the element, at worst, all the child nodes are 2-node, the height of the tree is LGN, thus ensuring the worst-case time complexity. However, the 2-3-tree is more complex, this paper introduces a simple data structure of 2-3-tree, that is, red-black trees (
Features of red and black trees(1) Each node is black, or red.(2) The root node is black.(3) Each leaf node (NIL) is black. "The leaf node here refers to the empty (nil/null) leaf node"(4) If a node is
1. Why do we propose a red/black tree?
The time complexity of searching, inserting, and deleting a binary search tree is O (h), where H is the height of the tree. Assume that the number of nodes in the binary search tree is N. If the binary search tree is balanced, H = O (log n). If the binary search tree is seriously unbalanced, if the tree height H is greater than O (log n), the time complexity of the bin
re-write the chapter on the red and black trees written a year ago. The red/black tree is a very popular Self-adjusted balanced binary sorting tree. generally, he gives us a complicated impression. He has many cases and must be careful with the rotation. Some people once said on TL that during an interview with a com
From:http://www.kerneltravel.net/jiaoliu/kern-rbtree.html
red and black trees in Linux kernel
Author: Western Mail Wang Cong
The red-black tree is a kind of balanced binary tree, it has a very good nature, the nodes in the tree are orderly, and because it is balanced, so the lookup will not appear very bad situat
using xposed hook, as well as the solution, in speaking of the case to rob red envelopes The solution is very simple, is to seize the time to judge, but this is not hundred percent accurate, Because there are a lot of uncertainties in the inside, such as the speed of the network, may determine a red envelope was robbed of time. But in a certain time to grab the bag we can determine whether to use the auto-
Original link: http://www.orlion.ga/384/A red and black tree1, ordinary two fork tree has a problem, when the inserted data is ordered, the binary tree is unbalanced, and for the non-equilibrium tree its quick find (INSERT, delete) the ability to specify data items is lost. The red-black tree is a way to solve a non-eq
To the users of Red Rice 4 mobile phone to detailed analysis to share a big black edge processing method.
Method Sharing:
Priority Red Rice 4 dark gray version
Red Rice 4 dark gray black Front for black, plus the default is
Red and black TreesRed black tree Five properties:(1) The node is red or black(2) The root node is black(3) Each leaf node is black(4) The two sub-nodes of each
Red black tree is also a fork search tree, so binary search tree properties of red and black trees have, at the same time, we know that in order to avoid the worst case of the two-fork search tree (is the case of high imbalance) derived from the AVL tree, so that any node of the left and right sub-tree height differenc
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