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Introduction to Modified Binary Search

Explore the modified binary search pattern to efficiently search sorted and rotated arrays. Learn how this technique extends traditional binary search by adapting to modified data structures and multiple search conditions. This lesson helps you identify scenarios where modified binary search is applicable and equips you with problem-solving strategies for common coding interview challenges.

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:

  1. Set the start and end indexes to the first and last elements of the array, respectively.

  2. Calculate the position of the middle index by taking the average of the start and end indexes. For example, if start=0start=0 and end=7end=7, then middle=(0+7)/2=3middle= \lfloor (0+7)/2 \rfloor = ...