The coding part is easy, a hash set and you're done in five lines.
Start by clarifying the problem constraints (e.g., array size, value range, memory limits) and then present multiple solutions with increasing efficiency: brute force, sorting, and hash set. For each, analyze time and space complexity, and discuss trade-offs to demonstrate a deep understanding of algorithmic design.
Pro tip: At Amazon, interviewers value the ability to optimize for real-world scenarios. After presenting the optimal solution, mention how you would handle edge cases like very large arrays that don't fit in memory, or if the input is a stream, showing you think beyond the basic algorithm.
Ask about input size, value range, memory limits, and whether the array can be modified. This shows you consider practical constraints before diving into solutions.
Describe the naive O(n^2) solution using nested loops to check each pair. Mention its simplicity but poor scalability for large inputs.
Explain that sorting the array first (O(n log n)) allows checking adjacent elements for duplicates. Discuss that this modifies the input and may be slower than optimal but uses less extra space.
Describe using a hash set to track seen elements, achieving O(n) time and O(n) space. Highlight that this is typically the optimal solution for general cases.
Summarize the time and space complexity of each approach, and discuss when each might be preferred (e.g., memory constraints, input size). Mention edge cases like empty array, single element, or very large arrays.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.