AVL Tree Balance Factors and Rotations

The video tutorial explains how to create and balance AVL trees by discussing four key cases of imbalance: RR, LL, RL, and LR. Each case is explained with examples, and the necessary rotations to achieve balance are demonstrated. The tutorial emphasizes the importance of checking balance factors and performing rotations to maintain the AVL tree properties.

What is the primary characteristic of an AVL tree?

• It is a tree with nodes having only one child.

• It is a tree with all nodes having two children.

• It is a balanced binary search tree.

• It is a complete binary tree.

What is the balance factor of a perfectly balanced node in an AVL tree?

• -1

• 0

• 2

• 1

What is the balance factor of a node with equal height subtrees?

• -1

• 0

• 1

• 2

What is the balance factor of a node with a left-heavy subtree?

• 2

• 1

• 0

• -1

What is the balance factor of a node with a right-heavy subtree?

• 1

• 2

• 0

• -1

What is the balance factor of a node with a balance factor of 1?

• The node is right-heavy

• The node is left-heavy

• The node is unbalanced

• The node is balanced

What is the balance factor of a node with a balance factor of -1?

• The node is balanced

• The node is left-heavy

• The node is right-heavy

• The node is unbalanced

What is the balance factor of a node with a balance factor of 0?

• The node is balanced

• The node is left-heavy

• The node is right-heavy

• The node is unbalanced

What are the possible values for the balance factor in an AVL tree?

• -2, 0, 2

• -1, 1, 2

• -3, 0, 3

• -1, 0, 1

In the context of AVL trees, what does a balance factor of -2 indicate?

• The tree is left-heavy.

• The tree is balanced.

• The tree is right-heavy.

• The tree is perfectly balanced.