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Could you create a function that employs binary search to locate the maximum integer in a list?
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General
Consider how to adapt binary search for finding a maximum value, especially for lists with unique properties like a rotated sorted array, focusing on time complexity analysis.
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Coding question
Coding questions assess your programming abilities and thought process. Showcase your problem-solving approach, coding style, knowledge of data structures, and ability to write clean, efficient, and maintainable code.