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

Which operation is guaranteed to be O(log n) 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 left child is less than the parent, and the right child is greater.
Step 3: Learn that Red-Black trees maintain balance through specific rules, which helps keep the tree height low.
Step 4: Recognize that the height of a Red-Black tree is always O(log n), where n is the number of nodes in the tree.
Step 5: Understand that operations like insertion, deletion, and searching involve traversing the tree from the root to a leaf node.
Step 6: Since the height of the tree is O(log n), the time taken to perform these operations is also O(log n).
Step 7: Conclude that all fundamental operations (insertion, deletion, and searching) in a Red-Black tree are guaranteed to be O(log n).

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