Which operation will height-balance the following BST? 25 / \ 16 42 / \ 9 21 \ 22 also Submit an image of the tree after it's been balanced. If the tree is already balanced, leave the upload area blank.
so which option is correct
Choice 1 of 5:Left rotation on 16

Choice 2 of 5:Right rotation on 21

Choice 3 of 5:Left-right rotation on 25

Choice 4 of 5:Right-left rotation on 16

Choice 5 of 5:This tree is already balanced.

The image above shows the balanced BST after performing the left-right rotation on node 25. 

Do you have any questions or need further details on the balancing process?

Here are five questions to expand on the information provided:

1. What is a balance factor in a Binary Search Tree?
2. How does a left rotation on a node affect the tree structure?
3. How does a right rotation on a node affect the tree structure?
4. What are the conditions that necessitate a left-right rotation in a BST?
5. Can you explain how to perform a right-left rotation on a BST?

**Tip:** When analyzing a tree's balance, always check the balance factor for each node to determine the necessary rotations to balance the tree.

Which operation will height-balance the following BST? 25 / \ 16 42 / \ 9 21 \ 22 also Submit an image of the tree after it's been balanced. If the tree is already balanced, leave the upload area blank. so which option is correct
Choice 1 of 5: Left rotation on 16
Choice 2 of 5: Right rotation on 21
Choice 3 of 5: Left-right rotation on 25
Choice 4 of 5: Right-left rotation on 16
Choice 5 of 5: This tree is already balanced.

Discover how to balance a Binary Search Tree (BST) with tree rotations. This problem explains the left-right rotation required on node 25 and discusses key concepts such as balance factors and AVL trees. Ideal for students in Grades 10-12 studying data structures.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation