Which operation is guaranteed to take O(log n) time in a Red-Black tree?

Practice Questions

Q1
Which operation is guaranteed to take O(log n) time in a Red-Black tree?
  1. Insertion
  2. Deletion
  3. Search
  4. All of the above

Questions & Step-by-Step Solutions

Which operation is guaranteed to take O(log n) time in a Red-Black tree?
  • Step 1: Understand what a Red-Black tree is. It is a type of self-balancing binary search tree.
  • Step 2: Know that in a binary search tree, the time complexity for operations like insertion, deletion, and search depends on the height of the tree.
  • Step 3: Realize that a Red-Black tree maintains a balanced height, which is always O(log n), where n is the number of nodes in the tree.
  • Step 4: Learn that because of this balanced height, all operations (insertion, deletion, and search) will take O(log n) time.
  • Step 5: Conclude that in a Red-Black tree, all three operations are guaranteed to take O(log n) time.
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