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Can you code a binary search routine and discuss its time efficiency? Additionally, is there room for further optimization?

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Data Analyst
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Coding

Consider both the standard implementation with O(log n) complexity and edge cases that might allow for further optimizations.

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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.

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