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AVL Trees Quiz

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Questions and Answers

What is an AVL Tree?

A self-balancing Binary Search Tree where the difference between heights of left and right subtrees cannot be more than one for all nodes. (correct)

A Binary Search Tree where the difference between heights of left and right subtrees cannot be more than three for all nodes.

A Binary Search Tree where the difference between heights of left and right subtrees cannot be more than two for all nodes.

A Binary Search Tree where the difference between heights of left and right subtrees can be more than one for all nodes.

What is the time complexity of insertion in AVL Tree?

O(log(n))

O(n*log(n)) (correct)

O(n^2)

O(1)

When should Red Black trees be preferred over AVL trees?

If the application involves only deletions and no insertions.

If the application involves only insertions and no deletions.

If the application involves many frequent insertions and deletions. (correct)

If the application involves less frequent insertions and deletions and more frequent search operation.

Study Notes

AVL Trees

An AVL tree is a self-balancing binary search tree that ensures the height of the tree remains relatively small by rotating nodes when the balance factor becomes too large.

Time Complexity of Insertion

The time complexity of insertion in an AVL tree is O(log n), where n is the number of nodes in the tree.

AVL vs Red-Black Trees

Red-Black trees should be preferred over AVL trees when frequent node deletions are involved, as Red-Black trees handle deletions more efficiently.
AVL trees are preferred when frequent insertions and searches are involved, as they provide faster search and insertion operations.
The choice between AVL and Red-Black trees depends on the specific use case and the operations that are performed most frequently.

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Description

Test your knowledge on AVL trees with this quiz! Learn about the properties of self-balancing binary search trees and their importance in maintaining efficient operations. Identify examples of AVL trees and distinguish them from non-AVL trees. Sharpen your skills and become an AVL expert with this quiz.