Analyze time and space complexity

Q: Analyze time and space complexity

This question evaluates a candidate's algorithmic analysis skills, including derivation of time and space complexity in Big-O notation, identification of dominant operations, and comparison of alternative approaches.

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Question

For any algorithm you implement, analyze its time and space complexity using Big-O notation. Derive and justify the best, average, and worst-case complexities, identify the dominant operations that drive the cost, and explain how the complexity scales with input size and constraints. Compare at least one alternative approach, discuss the trade-offs, and state any optimizations you would apply to improve asymptotic or constant factors.

Analyze time and space complexity

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