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Roblox·Software Engineer·Onsite - System Design / Architecture·Senior

SeniorPrefer not to say
Jun 2026

Summary

Roblox SWE interview with a rate limiter design question that started reasonable and then got pretty deep pretty fast. The follow-up about multi-dimensional buckets was where things got interesting.

Questions Asked (2)

Q1

Implement a rate limiter using a sliding window algorithm. The function takes a client ID and a timestamp and returns whether the request is allowed given a limit of N requests per W-second window. Walk through the sliding-window-log vs sliding-window-counter approaches and discuss the memory and accuracy trade-offs.

System DesignAlgorithms & Data StructuresTechnical Trade-offs
Author's notes

I went with the log approach first since it's more accurate, basically storing a sorted list of timestamps per client and evicting anything outside the window.

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AI HintsAI Generated

Suggested Approach

Start by clarifying requirements (e.g., exact vs. approximate, memory constraints, distributed setting) and then present both sliding-window-log and sliding-window-counter approaches. Walk through the data structures, algorithms, and trade-offs, and finally provide a concrete implementation for the chosen approach, justifying your choice based on the constraints.

Pro tip: Mention that sliding-window-log can be optimized by storing timestamps in a circular buffer or using a Redis sorted set with TTL, and that sliding-window-counter is often preferred in distributed systems due to lower memory and simpler atomic operations.

1. Clarify Requirements and Constraints

Ask about the expected request rate, memory limits, accuracy requirements, and whether the solution should be distributed. This shows you consider real-world factors before diving into algorithms.

2. Explain Sliding-Window-Log

Describe storing each request timestamp in a log (e.g., list or sorted set) per client. To check, remove timestamps older than W seconds and compare the count to N. Discuss O(N) memory per client and exact accuracy.

3. Explain Sliding-Window-Counter

Describe dividing time into fixed windows (e.g., W seconds) and maintaining counters for the current and previous windows. Estimate the request count using a weighted sum based on the current position in the window. Discuss O(1) memory per client and approximate accuracy.

4. Compare Trade-offs

Contrast memory usage (O(N) vs O(1)), accuracy (exact vs approximate), and implementation complexity. Mention that sliding-window-counter can allow bursts at window boundaries but is more memory-efficient.

5. Implement and Justify Choice

Provide a clean implementation for one approach (likely sliding-window-log for simplicity or sliding-window-counter for efficiency) and explain why it fits the given constraints. Discuss potential optimizations like using Redis for distributed rate limiting.

Key Points to Mention

  • Sliding-window-log stores individual timestamps, giving exact counts but O(N) memory per client.
  • Sliding-window-counter uses fixed windows and interpolation, giving O(1) memory but approximate counts and potential burst allowance.
  • Trade-off between memory and accuracy: sliding-window-log is precise but memory-heavy; sliding-window-counter is memory-light but approximate.
  • Distributed considerations: use Redis sorted sets with ZREMRANGEBYSCORE for sliding-window-log, or Redis INCR with TTL for sliding-window-counter.
  • Edge cases: handling multiple requests at the same timestamp, clock skew, and cleanup of stale client data.
  • Optimizations: circular buffer for sliding-window-log, or using a combination of counters for better accuracy.

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

Q2

Extend the rate limiter to support multiple independent limit dimensions simultaneously, such as per API tier, per endpoint, or per user-endpoint pair. How does the data structure generalize, and how do you handle memory when most of those bucket combinations are rarely used?

System DesignTechnical Trade-offsData Modeling
Author's notes

This is where I started sweating a little.

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AI HintsAI Generated

Suggested Approach

Start by generalizing the rate limiter's key from a single dimension to a composite key (e.g., tuple of tier, endpoint, user) and explain how the underlying data structure (e.g., hash map of token buckets) naturally extends. Then address memory concerns by discussing lazy allocation, eviction policies (like LRU or TTL), and probabilistic data structures for rare combinations.

Pro tip: Emphasize that the choice of eviction policy should align with business priorities—e.g., evicting inactive users first to preserve fairness—and mention that you'd monitor cardinality to avoid memory blowups.

1. Generalize the key

Explain that the rate limiter's key becomes a composite key (e.g., (tier, endpoint, user_id)) and the data structure becomes a map from composite key to bucket state.

2. Choose the right data structure

Discuss using a hash map (or concurrent hash map) for O(1) access, and consider nested maps or a single map with tuple keys for flexibility.

3. Handle memory with lazy allocation

Only create bucket entries when a request for that combination occurs, avoiding pre-allocation for all possible combinations.

4. Implement eviction for rarely used buckets

Use an LRU cache or TTL-based expiration to remove stale entries, and discuss trade-offs between memory and accuracy.

5. Consider probabilistic alternatives

For extremely high cardinality, mention using approximate data structures like count-min sketch or cuckoo filters to bound memory.

Key Points to Mention

  • Composite key design and its impact on hashing and lookup performance
  • Lazy initialization of token buckets to avoid memory waste
  • Eviction policies (LRU, TTL) and their trade-offs with accuracy
  • Concurrency considerations for thread-safe access to the map
  • Monitoring and metrics for cardinality and eviction rates
  • Alternative data structures like count-min sketch for approximate rate limiting

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