The characteristics of a balanced binary tree are: 1. A non-leaf node has at most two child nodes; 2. The value of a non-leaf node is greater than the left child node and less than the right child node; 3. The number of levels on the left and right sides of the tree is the same. will be greater than 1; 4. There are no duplicate nodes with equal values.
Features of balanced binary trees:
(1) Non-leaf nodes have at most two child nodes;
(2) The non-leaf node value is greater than the left child node and less than the right child node;
(3) The difference in the number of levels on the left and right sides of the tree will not be greater than 1;
(4) There are no duplicate nodes with equal values;
The concept of balanced binary tree
The balanced binary tree is a binary tree data structure based on the dichotomy strategy to improve the speed of data search;
Features:
The balanced binary tree uses dichotomous thinking to assemble data into a tree structure according to rules, and uses this tree structure data to reduce the retrieval of irrelevant data. Greatly improves the speed of data retrieval; the data structure assembly process of a balanced binary tree has the following rules:
(1) Non-leaf nodes can only allow up to two child nodes to exist.
(2) The data distribution rule of each non-leaf node is that the child node on the left is smaller than the value of the current node, and the child node on the right is greater than the value of the current node (the value here is based on its own algorithm rules, For example, hash value);
The hierarchical structure of the balanced tree: Because the query performance of the balanced binary tree is inversely proportional to the level of the tree (h height), the smaller the h value, the faster the query. In order to ensure the data on the left and right ends of the tree structure To roughly balance and reduce the query difficulty of a binary tree, an algorithm mechanism is generally used to achieve the balance of the node data structure. Examples of such algorithms include Treap and red-black trees. Using a balanced binary tree can ensure that the node levels on the left and right sides of the data will not differ. Greater than 1. This prevents the tree structure from becoming a linear linked list due to increased deletions, which affects query efficiency, and ensures that the speed of data search is close to that of binary search when the data is balanced;
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