What is the worst-case time complexity for searching in a Red-Black tree?
Practice Questions
Q1
What is the worst-case time complexity for searching in a Red-Black tree?
O(n)
O(log n)
O(n log n)
O(1)
Questions & Step-by-Step Solutions
What is the worst-case time complexity for searching in a Red-Black tree?
Step 1: Understand what a Red-Black tree is. It is a type of binary search tree that maintains balance through specific rules.
Step 2: Know that in a binary search tree, searching for a value involves comparing the value with nodes and moving left or right based on the comparison.
Step 3: Realize that the height of a Red-Black tree is kept in check, meaning it does not grow too tall. This is important for search efficiency.
Step 4: The height of a Red-Black tree is at most 2 * log(n), where n is the number of nodes in the tree.
Step 5: Since searching involves traversing from the root to a leaf node, the maximum number of comparisons (or steps) needed is proportional to the height of the tree.
Step 6: Therefore, the worst-case time complexity for searching in a Red-Black tree is O(log n).
