This is a brutal one if you haven't seen it before.
Start by clarifying the problem and constraints, then propose an efficient solution using a modified merge sort or a Fenwick tree (Binary Indexed Tree) to count smaller elements to the right. Discuss the time and space complexity, and be prepared to code the solution.
Pro tip: Mention that this is a classic problem that can be solved with a Fenwick tree or merge sort, and that Amazon often values optimization and clean code. Also, consider edge cases like duplicate elements and large input sizes.
Restate the problem in your own words and ask clarifying questions about input size, range of integers, and whether duplicates are allowed.
Acknowledge that a naive O(n^2) solution exists by checking each element against all elements to its right, but note it's inefficient for large inputs.
Explain that you can use a Fenwick tree (BIT) or modified merge sort to achieve O(n log n) time complexity. Describe the algorithm briefly.
State the time and space complexity of your solution, and discuss how to handle duplicates and negative numbers.
Write clean code for the chosen approach, and walk through a small example to verify correctness.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.
Start by clarifying the problem constraints (e.g., k and list sizes) and discussing naive approaches like merging one by one. Then present the optimal heap-based solution, explaining its time and space complexity, and walk through a concrete example. Finally, mention edge cases and potential optimizations.
Pro tip: Amazon values customer obsession and ownership; emphasize how your solution scales efficiently for large inputs, showing you consider real-world impact. Also, proactively discuss trade-offs between different approaches (e.g., heap vs. divide-and-conquer) to demonstrate depth.
Ask about the range of k, list lengths, memory limits, and whether the lists are sorted in ascending order. Confirm the expected output format.
Mention the simple approach of merging lists sequentially (O(N*k) time) and its inefficiency. This shows you consider multiple solutions before optimizing.
Explain using a min-heap of size k to repeatedly extract the smallest node and append to the result. Detail the algorithm steps and why it achieves O(N log k) time.
State time and space complexity. Discuss edge cases: empty lists, k=0, k=1, duplicate values, and very large k.
Briefly describe divide-and-conquer (pairwise merging) with O(N log k) time and O(1) extra space, and compare with heap approach.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.
Start by clarifying requirements and constraints, then design the core flow for package retrieval, including authentication, locker interaction, and failure handling. Focus on scalability, reliability, and security while discussing trade-offs in data modeling and system architecture.
Pro tip: Emphasize idempotency and graceful degradation—customers may retry or encounter network issues, so the system must handle duplicate requests and partial failures without compromising security or user experience.
Ask about scale, latency, security, and edge cases (e.g., expired codes, locker malfunctions) to scope the problem and align with interviewer expectations.
Outline the main components: customer app, backend service, locker hardware interface, and database. Describe the end-to-end flow from code entry to package retrieval.
Define key entities (Package, Locker, Customer, AccessCode) and their relationships, including statuses and TTL for codes. Discuss storage choices (SQL vs NoSQL) and indexing.
Specify the getPackage API endpoint, request/response format, authentication, and idempotency. Detail how the backend validates the code and triggers locker opening.
Address partitioning, caching, retries, monitoring, and failure recovery. Discuss trade-offs like consistency vs availability and how to handle concurrent access.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.