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Maven Clinic·Backend Engineer·Technical Phone Screen·Senior

Senior
Apr 2026

Summary

Maven Clinic backend interview with a pretty interesting algorithmic problem around reordering provider listings. The core question had two follow-ups that pushed into streaming and threshold-based logic, so it wasn't just one-and-done.

Questions Asked (3)

Q1

You're given a list of provider listings as CSV strings, already sorted by relevance score. Reorder them so that each page of 5 results has at most one listing per provider, while keeping the original relative ordering as intact as possible. Output the reordered stream.

Algorithms & Data StructuresSystem Design
Author's notes

Spent probably too long on the 'preserve relative order' constraint before realizing it's basically a round-robin interleave with a page-size cap.

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AI HintsAI Generated

Suggested Approach

Clarify the problem constraints and edge cases, then propose a greedy algorithm that processes listings in order, maintaining a buffer of deferred items and a per-page provider count. Use a queue to defer duplicates until the next page, and simulate the output stream while tracking page boundaries.

Pro tip: Mention that this is similar to task scheduling with cooldown periods; using a queue for deferred items ensures O(n) time and preserves relative order as much as possible.

1. Clarify requirements and edge cases

Ask about input size, whether provider IDs are case-sensitive, and what to do if a page cannot be filled without duplicates (e.g., allow fewer than 5 results).

2. Design greedy algorithm with deferral queue

Process listings in order; for each, if its provider hasn't appeared on the current page, add it to output and increment count; otherwise, defer it to a queue for the next page.

3. Handle page boundaries and queue flushing

When a page reaches 5 items, start a new page and first try to fill it from the deferred queue before continuing with the main stream.

4. Analyze complexity and correctness

Explain that each item is processed once and deferred at most once, giving O(n) time and O(n) space; argue that the greedy choice preserves relative order as much as possible.

5. Discuss extensions and trade-offs

Mention how to adapt for streaming input, different page sizes, or if multiple listings per provider per page were allowed; note that the algorithm can be modified to prioritize deferred items differently.

Key Points to Mention

  • Greedy approach with a queue for deferred items
  • Maintaining per-page provider count (e.g., a set or hash map)
  • Preserving original relative order by processing in sequence
  • Handling page boundaries and flushing the deferral queue
  • Time and space complexity: O(n) time, O(n) space
  • Edge cases: insufficient unique providers, empty input, page size variations

AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.

Q2

Follow-up: modify your solution so that providers with a score above a certain threshold are allowed to appear more than once on the same page, lifting the per-page cap for high-scoring providers.

Algorithms & Data StructuresTechnical Trade-offs
Author's notes

This is where it got interesting.

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AI HintsAI Generated

Suggested Approach

First, clarify the threshold semantics and whether the cap is fully lifted or just increased for high-scoring providers. Then, describe how you would modify the data structure and selection logic to conditionally bypass the per-page cap, ensuring the algorithm remains efficient and fair.

Pro tip: Mention that you would make the threshold configurable and consider edge cases like all providers exceeding the threshold, which could lead to unbounded page sizes. Also, discuss how this change might affect pagination consistency and downstream consumers.

1. Clarify requirements

Ask whether the cap is completely removed for high-scoring providers or if there is a new higher cap, and confirm the threshold value and whether it is inclusive.

2. Adjust data structures

Modify the selection algorithm to track counts per provider and allow multiple insertions if the provider's score exceeds the threshold, potentially using a priority queue or sorted list.

3. Handle pagination

Ensure that the page size can grow dynamically for high-scoring providers, and decide whether to enforce a maximum page size to prevent performance issues.

4. Test edge cases

Consider scenarios where all providers are above the threshold, where none are, and where the threshold is exactly met, to validate the logic.

5. Discuss trade-offs

Explain the impact on performance, fairness, and user experience, and propose monitoring or safeguards if needed.

Key Points to Mention

  • Threshold configuration and inclusivity
  • Data structure choice for efficient selection (e.g., heap, sorted list)
  • Pagination strategy and potential unbounded page size
  • Edge cases: all providers above threshold, none above, threshold boundary
  • Performance implications and scalability
  • Fairness and user experience considerations

AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.

Q3

Follow-up: now make the solution memory-efficient for 150 million or more listings. Process input as a stream, emit pages as soon as they're full, and keep auxiliary state bounded by page size plus the active set of recently seen providers.

System DesignTechnical Trade-offs
Author's notes

Okay this one I genuinely liked.

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AI HintsAI Generated

Suggested Approach

Start by clarifying the streaming constraints and the definition of 'recently seen providers' to bound state. Then describe a single-pass algorithm that groups listings by provider, buffers only the current page, and flushes pages as soon as they fill, using a bounded LRU or time-windowed set for provider state. Finally, discuss trade-offs like ordering guarantees, late-arriving data, and backpressure.

Pro tip: Explicitly state the memory bound: O(page_size + active_providers), and note that you'd use a fixed-size ring buffer or LRU cache for provider state to prevent unbounded growth. This shows you think in terms of worst-case memory, not just average.

1. Clarify constraints and definitions

Ask about input ordering, what 'recently seen' means (time window or count), and whether pages must be ordered by provider or listing. Confirm that memory is the primary constraint and that we can emit pages out of order if needed.

2. Design the streaming pipeline

Process each listing as it arrives: extract provider ID, check if provider is in the active set, and append to the current page buffer. When the buffer reaches page size, emit the page and clear the buffer.

3. Bound auxiliary state

Use a fixed-size LRU cache or a time-based sliding window to track recently seen providers. Evict providers that haven't been seen within the window or when the cache exceeds a max size, ensuring memory stays O(page_size + active_providers).

4. Handle edge cases and trade-offs

Discuss what happens when a provider's listings span multiple pages, late-arriving listings, and whether to emit partial pages at stream end. Mention backpressure and how to handle slow consumers without buffering unboundedly.

5. Summarize and validate

Recap the memory bound, the single-pass nature, and the trade-offs (e.g., potential page fragmentation, ordering). Suggest metrics to monitor (buffer size, eviction rate) and how to test with synthetic streams.

Key Points to Mention

  • Single-pass streaming with O(page_size + active_providers) memory
  • Bounded LRU cache or time-windowed set for recently seen providers
  • Emit pages as soon as they are full to avoid buffering all listings
  • Trade-offs: ordering, page fragmentation, late data, and partial pages
  • Backpressure handling and flow control with slow consumers
  • Testing with synthetic streams and monitoring eviction rates

AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.