Which of the following is true about the height of a Red-Black tree?

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Question: Which of the following is true about the height of a Red-Black tree?

Options:

Correct Answer: It can be at most twice the height of an AVL tree.

Solution:

The height of a Red-Black tree can be at most twice the height of an AVL tree, making it less balanced.

Which of the following is true about the height of a Red-Black tree?

Which of the following is true about the height of a Red-Black tree?

Step 1: Understand what a Red-Black tree is. It is a type of binary search tree that has specific properties to ensure balance.
Step 2: Learn about the height of a tree. The height is the number of edges on the longest path from the root to a leaf.
Step 3: Know that an AVL tree is another type of binary search tree that is more strictly balanced than a Red-Black tree.
Step 4: Realize that the height of a Red-Black tree can be greater than that of an AVL tree. Specifically, it can be at most twice the height of an AVL tree.
Step 5: Conclude that because the Red-Black tree can be taller, it is considered less balanced compared to an AVL tree.

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