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What is the main property of an AVL tree?

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Question: What is the main property of an AVL tree?

Options:

  1. It is a binary search tree with a balance factor of -1, 0, or 1.
  2. It allows duplicate values.
  3. It is a complete binary tree.
  4. It is a binary tree with no children.

Correct Answer: It is a binary search tree with a balance factor of -1, 0, or 1.

Solution: 

An AVL tree is a self-balancing binary search tree where the difference in heights between the left and right subtrees cannot be more than one.

What is the main property of an AVL tree?

Practice Questions

Q1
What is the main property of an AVL tree?
  1. It is a binary search tree with a balance factor of -1, 0, or 1.
  2. It allows duplicate values.
  3. It is a complete binary tree.
  4. It is a binary tree with no children.

Questions & Step-by-Step Solutions

What is the main property of an AVL tree?
  • Step 1: Understand what an AVL tree is. It is a type of binary search tree.
  • Step 2: Know that a binary search tree is a tree where each node has at most two children, and the left child is less than the parent, while the right child is greater.
  • Step 3: Learn that an AVL tree is special because it keeps itself balanced.
  • Step 4: The balance is maintained by ensuring that the heights of the left and right subtrees of any node differ by no more than one.
  • Step 5: This means if you look at any node in the tree, the height of its left side and the height of its right side should be almost equal.
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