Introduction to Modified Binary Search
Explore the modified binary search pattern, an extension of the traditional binary search algorithm. Learn how to adapt it for arrays modified through rotation or other conditions, and apply it to solve problems like finding specific element positions or integer square roots. This lesson helps develop skills to efficiently handle complex searches in sorted or partially sorted data, preparing you for real-world coding interviews.
We'll cover the following...
About the pattern
The modified binary search pattern is an extension of the traditional binary search algorithm and can be applied to a wide range of problems. Before we delve into the modified version, let’s first recap the classic binary search algorithm.
Classic Binary Search
Binary search is an efficient search algorithm for searching a target value in sorted arrays or sorted lists that support direct addressing (also known as random access). It follows a divide-and-conquer approach, significantly reducing the search space with each iteration. The algorithm uses three indexes—start, end, and middle—and proceeds as follows:
-
Set the start and end indexes to the first and last elements of the array, respectively.
-
Calculate the position of the middle index by taking the average of the start and end indexes. For example, if ...