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What is the primary purpose of balancing in AVL and Red-Black trees?

Practice Questions

Q1
What is the primary purpose of balancing in AVL and Red-Black trees?
  1. To reduce memory usage
  2. To ensure O(log n) time complexity for operations
  3. To simplify the tree structure
  4. To allow duplicate values

Questions & Step-by-Step Solutions

What is the primary purpose of balancing in AVL and Red-Black trees?
  • Step 1: Understand that AVL and Red-Black trees are types of binary search trees.
  • Step 2: Know that binary search trees store data in a way that allows for quick searching, inserting, and deleting.
  • Step 3: Realize that if the tree becomes unbalanced, these operations can take longer than necessary.
  • Step 4: Learn that balancing the tree keeps it structured so that it remains efficient.
  • Step 5: Remember that 'O(log n)' means that the time it takes to perform operations grows slowly as the number of items (n) increases.
  • Step 6: Conclude that the primary purpose of balancing in AVL and Red-Black trees is to maintain this efficient 'O(log n)' time for operations.
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