Introduction to Modified Binary Search
Explore the modified binary search pattern, extending the classic binary search to handle rotated or partially sorted arrays and multiple search criteria. Understand how to adapt binary search for real-world problems like range filtering and dictionary searches.
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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 and , then ...