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Mavenclinic·Backend Engineer·Technical Phone Screen·Intermediate

Intermediate
Jul 2026

Summary

Coding round for a backend engineer role at Mavenclinic. The main problem was a pagination algorithm for provider listings, which sounds deceptively manageable until you get into the edge cases, and then they pushed into complexity analysis and two follow-ups that required pretty different thinking.

Questions Asked (4)

Q1

Build a function that paginates a pre-sorted list of telehealth provider listings into pages of size 5, ensuring at most one listing per provider per page when possible, preserving original order, and allowing provider repeats only when needed to fill a page.

Algorithms & Data Structures
Author's notes

The core logic isn't hard to describe but I fumbled the implementation a bit.

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AI HintsAI Generated

Suggested Approach

First, clarify the requirements and edge cases, then propose a greedy algorithm that iterates through the sorted list, placing each provider's listing on the current page if the provider hasn't appeared yet; otherwise, defer it to a later page. If a page cannot be filled with unique providers, allow repeats from the beginning of the list, ensuring the original order is preserved as much as possible.

Pro tip: Mention that you would validate the solution with edge cases like all listings from the same provider or fewer unique providers than page size, and discuss time/space complexity to show thoroughness.

1. Clarify requirements and constraints

Ask questions to confirm assumptions: Is the input list guaranteed sorted? Can providers have multiple listings? What should happen if there are fewer unique providers than page size? Should pages be filled completely?

2. Design the algorithm

Outline a greedy approach: iterate through the list, maintaining a set of providers already on the current page. If a listing's provider is not in the set, add it to the page; otherwise, hold it for later. If the page isn't full after one pass, fill remaining slots with held listings, allowing repeats.

3. Handle edge cases and constraints

Address scenarios like all listings from one provider, fewer unique providers than page size, and ensuring no listing is lost. Explain how you would preserve original order when repeats are necessary.

4. Analyze complexity and optimize

Discuss time and space complexity of your solution. Consider if a more efficient approach exists, such as using a queue for deferred listings or pre-grouping by provider.

5. Test and validate

Walk through examples, including edge cases, to verify correctness. Mention writing unit tests to cover various scenarios.

Key Points to Mention

  • Greedy algorithm with a set to track providers on the current page
  • Handling of deferred listings when a provider repeats
  • Preservation of original order as much as possible
  • Edge cases: all same provider, fewer unique providers than page size
  • Time and space complexity analysis
  • Potential optimizations or alternative approaches

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

Q2

What is the time and space complexity of your pagination algorithm?

Algorithms & Data StructuresTechnical Trade-offs
Author's notes

Went through it fine.

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AI HintsAI Generated

Suggested Approach

Start by clarifying the pagination algorithm you implemented (e.g., offset-based, cursor-based, or keyset) and the data store it queries. Then derive time and space complexity in terms of the page size (k) and total dataset size (n), explaining how the query pattern affects each. Finally, discuss trade-offs and optimizations, such as indexing or caching, that impact real-world performance.

Pro tip: Mention that while offset-based pagination has O(k) time for fetching a page, the database often scans O(offset + k) rows, making deep pagination O(n) — a common pitfall. Cursor-based pagination avoids this by using an indexed column, achieving O(k) time even for deep pages.

1. Clarify the algorithm and assumptions

State the pagination method (offset, cursor, keyset) and the underlying data store (SQL, NoSQL). Define variables: n = total records, k = page size, p = page number.

2. Analyze time complexity

Break down the query: for offset-based, time is O(offset + k) due to scanning; for cursor-based, time is O(k) if the cursor column is indexed. Mention any sorting or filtering overhead.

3. Analyze space complexity

Space is typically O(k) for storing the page results, plus O(1) for cursor/offset state. Note if the database uses additional memory for sorting or temporary structures.

4. Discuss trade-offs and optimizations

Compare offset vs. cursor: offset is simple but slow for deep pages; cursor is efficient but less flexible. Mention indexing, caching, and denormalization as ways to improve complexity.

5. Relate to real-world scenarios

Tie the analysis to Mavenclinic's use case (e.g., patient records, appointments) and explain how you would choose or optimize the algorithm for scalability.

Key Points to Mention

  • Offset-based pagination: time O(offset + k), space O(k); deep pagination degrades to O(n).
  • Cursor-based pagination: time O(k) with indexed cursor, space O(k); avoids deep-page penalty.
  • Keyset pagination: similar to cursor, uses WHERE clauses on indexed columns for O(k) time.
  • Indexing and query planning: proper indexes can reduce time complexity from O(n) to O(log n) or O(k).
  • Caching: can reduce repeated queries to O(1) time for frequently accessed pages.
  • Trade-offs: offset allows random access but is inefficient; cursor is efficient but sequential and stateful.

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

Q3

How would you modify the algorithm if high-scoring providers were allowed to appear more than once on the same page?

Algorithms & Data StructuresTechnical Trade-offs
Author's notes

I said something like: swap the seen-set for a counter map, give each provider a quota based on their score tier, and decrement as you place them.

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AI HintsAI Generated

Suggested Approach

First, clarify the current algorithm's constraints: it likely selects top-scoring providers and ensures each appears at most once per page. Then, propose modifications to allow duplicates while maintaining ranking and diversity, such as adjusting the selection loop to permit repeated selection of high-scoring providers, and discuss trade-offs like reduced provider diversity and potential fairness concerns.

Pro tip: Mention that allowing duplicates could be implemented via a weighted random selection or by simply not deduplicating, but always consider the impact on user experience and business metrics like provider exposure fairness.

1. Clarify the current algorithm

Restate the existing algorithm: it selects providers based on scores and ensures each provider appears at most once per page. This sets the baseline for modifications.

2. Identify the change

The modification is to allow high-scoring providers to appear multiple times on the same page. This means removing the uniqueness constraint for those providers.

3. Propose implementation changes

Suggest concrete changes: e.g., in the selection loop, instead of skipping already-selected providers, allow re-selection if their score exceeds a threshold, or use a weighted sampling with replacement.

4. Discuss trade-offs

Analyze pros (e.g., maximizing relevance) and cons (e.g., reduced diversity, potential user fatigue, fairness issues). Mention how to mitigate, like capping duplicates per provider.

5. Consider edge cases and metrics

Address edge cases (e.g., all providers high-scoring) and suggest metrics to evaluate the change (e.g., click-through rate, provider exposure distribution).

Key Points to Mention

  • Current algorithm likely uses a greedy selection or sorting with deduplication.
  • Modification: allow duplicates by removing deduplication step or adjusting selection criteria.
  • Trade-off: increased relevance vs. decreased diversity and potential fairness concerns.
  • Implementation options: threshold-based re-selection, weighted random with replacement, or simply not deduplicating.
  • Mitigation: cap the number of appearances per provider per page.
  • Evaluation: A/B testing with metrics like CTR, provider exposure, and user satisfaction.

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

Q4

How would you implement a memory-efficient streaming version of this algorithm for roughly 150 million listings that don't fit in memory?

System DesignTechnical Trade-offs
Author's notes

This one tripped me up more than I expected.

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AI HintsAI Generated

Suggested Approach

Start by clarifying the algorithm's requirements and constraints, then propose an external memory approach using chunked processing and streaming data structures. Emphasize trade-offs between memory, speed, and complexity, and discuss how to handle the 150 million listings efficiently.

Pro tip: Mention that you would first profile the data to understand its distribution and access patterns, as this often reveals opportunities for optimizations like compression or sampling that can drastically reduce memory usage.

1. Clarify Requirements and Constraints

Ask about the algorithm's exact operations, data format, available memory, and latency requirements to tailor the solution.

2. Design a Streaming Architecture

Propose reading data in chunks from disk or network, processing each chunk independently, and writing intermediate results to disk if needed.

3. Choose Memory-Efficient Data Structures

Use probabilistic data structures (e.g., Bloom filters, HyperLogLog) or external sorting/merging to handle large datasets without loading everything into memory.

4. Handle Aggregation and State

For operations requiring global state, use a two-pass approach or maintain a compact summary (e.g., counts, sketches) that fits in memory.

5. Discuss Trade-offs and Optimizations

Compare approaches (e.g., external sort vs. hash partitioning) in terms of time, memory, and complexity, and suggest optimizations like parallel processing.

Key Points to Mention

  • External sorting and merging
  • Streaming algorithms and probabilistic data structures
  • Chunking and batch processing
  • Memory-mapped files and disk-based data structures
  • Parallelism and distributed processing (e.g., MapReduce)
  • Trade-offs between accuracy, memory, and speed

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