What is the time complexity of searching for an element in a Red-Black tree?
Practice Questions
Q1
What is the time complexity of searching for an element in a Red-Black tree?
O(n)
O(log n)
O(n log n)
O(1)
Questions & Step-by-Step Solutions
What is the time complexity of searching for an element in a Red-Black tree?
Step 1: Understand what a Red-Black tree is. It is a type of binary search tree that keeps its elements balanced.
Step 2: Know that in a binary search tree, searching for an element involves comparing the target value with the values in the tree.
Step 3: Realize that a balanced tree means that the height of the tree is kept low, which helps in searching efficiently.
Step 4: In a Red-Black tree, the height is always kept to about log(n), where n is the number of elements in the tree.
Step 5: Since searching involves traversing from the root to a leaf, the maximum number of comparisons you need to make is equal to the height of the tree.
Step 6: Therefore, the time complexity for searching for an element in a Red-Black tree is O(log n).
