Introduction to Modified Binary Search
Explore the modified binary search pattern, an extension of the classic binary search algorithm. Learn how to apply it to sorted and rotated arrays, handle multiple search requirements, and solve problems like finding range positions and integer square roots. This lesson equips you with strategies to efficiently search data structures supporting direct addressing and adapt binary search for modified input conditions.
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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:
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Set the start and end indexes to the first and last elements of the array, respectively.
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Calculate the position of the middle index by taking the average of the start and end indexes. For example, if ...