What is the space complexity of the iterative implementation of binary search?
Practice Questions
1 question
Q1
What is the space complexity of the iterative implementation of binary search?
O(n)
O(log n)
O(1)
O(n log n)
The iterative implementation of binary search uses a constant amount of space, leading to a space complexity of O(1).
Questions & Step-by-step Solutions
1 item
Q
Q: What is the space complexity of the iterative implementation of binary search?
Solution: The iterative implementation of binary search uses a constant amount of space, leading to a space complexity of O(1).
Steps: 7
Step 1: Understand what binary search is. It is a method to find an item in a sorted list by repeatedly dividing the search interval in half.
Step 2: Know that there are two types of implementations for binary search: iterative and recursive. We are focusing on the iterative one.
Step 3: In the iterative implementation, we use a loop to repeatedly narrow down the search range without using additional data structures.
Step 4: Identify the variables used in the iterative binary search. Typically, these include variables for the start index, end index, and the middle index.
Step 5: Recognize that the number of variables used does not grow with the size of the input list. They remain constant regardless of how many elements are in the list.
Step 6: Conclude that since the space used does not depend on the input size, the space complexity is constant.
Step 7: Therefore, the space complexity of the iterative implementation of binary search is O(1).
