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Solve algorithmic challenges with optimized code and explanations.
Prompt
Solve the following algorithm problem and explain your approach: Problem: [describe the algorithm problem] Constraints: [time/space constraints] Examples: Input: [example input] → Output: [expected output] Provide: 1) Brute force approach with time/space complexity, 2) Optimized approach with explanation, 3) Implementation in [Python/JavaScript/Java], 4) Step-by-step walkthrough with the example, 5) Edge cases handled, 6) Unit test cases. Explain the key insight that makes the optimized solution work.
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