What is the time complexity of inserting an element in a balanced binary search
Practice Questions
Q1
What is the time complexity of inserting an element in a balanced binary search tree?
O(1)
O(log n)
O(n)
O(n log n)
Questions & Step-by-Step Solutions
What is the time complexity of inserting an element in a balanced binary search tree?
Step 1: Understand what a balanced binary search tree is. It is a type of tree data structure where each node has at most two children, and the tree is balanced, meaning the height is kept low.
Step 2: Know that in a binary search tree, for each node, the left child is less than the node, and the right child is greater than the node.
Step 3: When inserting an element, you start at the root of the tree and compare the new element with the current node's value.
Step 4: If the new element is smaller, you move to the left child; if it is larger, you move to the right child.
Step 5: Repeat this process until you find an empty spot where the new element can be inserted.
Step 6: Since the tree is balanced, the maximum number of comparisons you need to make is proportional to the height of the tree, which is log(n) for a balanced tree.
Step 7: Therefore, the time complexity for inserting an element in a balanced binary search tree is O(log n).
