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

SeniorPrefer not to say
Jul 2026

Summary

OpenAI SWE interview that went deep on memory allocator design, starting from a basic first-fit implementation and pushing all the way through coalescing, best-fit optimization, and complexity trade-offs. Four parts total, each building on the last, and the follow-ups got pretty hairy toward the end.

Questions Asked (7)

Q1

Design and implement a simplified memory allocator with malloc and free operating over a single fixed-size heap array. Walk from a correct first-fit implementation to an optimized one, covering block layout, splitting, and per-operation complexity.

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

This is the kind of question where you think you know it and then the details eat you alive.

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AI HintsAI Generated

Suggested Approach

Start by clarifying assumptions (e.g., alignment, heap size, thread-safety) and then present a correct first-fit allocator with a simple block header, splitting, and coalescing. Then iteratively optimize by addressing fragmentation and speed, discussing trade-offs like free list organization, boundary tags, and segregated lists.

Pro tip: Explicitly state that you'll ignore thread-safety initially to focus on the core algorithm, but mention that a real allocator would need locking or thread-local heaps. This shows you understand production concerns without overcomplicating the initial design.

1. Clarify requirements and constraints

Ask about heap size, alignment requirements, thread-safety, and whether the allocator must handle arbitrary sizes or can assume a maximum. This sets the scope and prevents over-engineering.

2. Design block layout and metadata

Define a block header containing size and free/used flag, and possibly a pointer to the next free block. Explain how to maintain alignment and how to traverse the heap.

3. Implement first-fit malloc and free

Walk through the first-fit algorithm: scan free list for a block large enough, split if remainder is sufficient, and mark as used. For free, mark as free and coalesce with adjacent free blocks.

4. Analyze complexity and identify bottlenecks

Discuss O(n) scan for malloc and O(1) free with coalescing. Identify fragmentation and linear search as main issues.

5. Optimize with better data structures

Propose improvements like segregated free lists (by size class), boundary tags for O(1) coalescing, and possibly a balanced tree for faster search. Discuss trade-offs in memory overhead and complexity.

Key Points to Mention

  • Block header design: size, free/used flag, and optional next pointer; alignment considerations.
  • Splitting: only split if remainder can hold a minimal block (header + alignment).
  • Coalescing: merge with next and previous free blocks using boundary tags or a doubly-linked free list.
  • First-fit vs. best-fit vs. worst-fit: trade-offs in fragmentation and speed.
  • Complexity: first-fit malloc O(n) in number of free blocks, free O(1) with coalescing if boundary tags are used.
  • Optimizations: segregated free lists, size classes, and using a balanced tree for free blocks to reduce search time.

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

Q2

How should free handle adjacent free blocks, and what is the difference between external and internal fragmentation?

System DesignTechnical Trade-offsAlgorithms & Data Structures
Author's notes

I actually felt okay here.

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AI HintsAI Generated

Suggested Approach

Start by explaining the role of free in memory management, then detail how it should coalesce adjacent free blocks to combat external fragmentation. Finally, clearly distinguish external fragmentation (free memory scattered in small chunks) from internal fragmentation (allocated memory larger than requested).

Pro tip: Mention that coalescing can be done immediately or deferred, and that immediate coalescing reduces external fragmentation but may increase latency; deferred coalescing improves throughput but requires more complex allocation strategies. This shows awareness of real-world trade-offs.

1. Explain free's responsibility

Describe that free deallocates memory and must manage the free list, potentially merging adjacent free blocks to create larger contiguous regions.

2. Detail coalescing strategies

Discuss immediate coalescing (merge on free) versus deferred coalescing (merge during allocation), and mention boundary tags for efficient merging.

3. Define external fragmentation

Explain that external fragmentation occurs when free memory is split into small, non-contiguous blocks, preventing allocation of larger requests despite sufficient total free memory.

4. Define internal fragmentation

Explain that internal fragmentation occurs when allocated memory is larger than requested, wasting space within the allocated block (e.g., due to alignment or fixed-size blocks).

5. Contrast and conclude

Summarize that coalescing reduces external fragmentation, while internal fragmentation is inherent to allocation granularity and can be mitigated by better-fit strategies.

Key Points to Mention

  • Coalescing adjacent free blocks prevents external fragmentation and improves memory utilization.
  • Immediate coalescing on free vs. deferred coalescing during allocation.
  • Boundary tags (footers) enable O(1) coalescing by checking neighboring blocks.
  • External fragmentation: free memory is available but not contiguous.
  • Internal fragmentation: allocated block is larger than requested size.
  • Trade-offs: coalescing overhead vs. fragmentation reduction; impact on allocation speed.

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

Q3

Propose a best-fit optimization for the allocator. What data structure makes the lookup efficient, and why is a plain min-heap not a clean fit?

Algorithms & Data StructuresSystem DesignTechnical Trade-offs
Author's notes

This is where I got exposed.

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AI HintsAI Generated

Suggested Approach

First, clarify the allocator's requirements: what is being allocated, what are the constraints (e.g., speed, memory, fragmentation), and what operations must be optimized. Then propose a data structure that efficiently supports the required operations, such as a balanced binary search tree or a skip list for ordered lookups, and explain why a min-heap falls short due to its limited support for arbitrary deletions and efficient search.

Pro tip: Demonstrate awareness of real-world trade-offs by mentioning that the choice depends on the specific workload; for example, if allocations are mostly small and frequent, a segregated free list with size classes might be more practical than a single global data structure.

1. Clarify requirements

Ask questions to understand the allocator's goals: what operations are most frequent (allocate, free, find best-fit), what are the performance constraints, and what are the memory overhead limits.

2. Identify key operations

Determine that the allocator needs to quickly find the smallest free block that satisfies a request (best-fit), and also support efficient insertion and deletion of free blocks as they are freed or allocated.

3. Propose a suitable data structure

Suggest a balanced binary search tree (e.g., red-black tree) or a skip list, which maintains elements in sorted order and supports O(log n) search, insert, and delete, enabling efficient best-fit lookup.

4. Explain why a min-heap is not ideal

A min-heap only supports efficient extraction of the minimum, but finding the best-fit for an arbitrary size requires searching through the heap, which is O(n). Also, deleting an arbitrary element (when a block is allocated) is not efficient without additional structures.

5. Discuss trade-offs and alternatives

Mention that other structures like segregated free lists or buddy allocators might be better for specific scenarios, and that the choice depends on the workload characteristics.

Key Points to Mention

  • Best-fit allocation requires finding the smallest free block that is large enough for the request.
  • A balanced binary search tree (e.g., red-black tree) or skip list provides O(log n) search, insert, and delete, making it suitable for best-fit.
  • A min-heap only gives O(1) access to the minimum, but finding the best-fit for a given size is O(n) because it requires scanning.
  • Deleting an arbitrary element from a heap is O(n) unless augmented with additional data structures like a hash map, which adds complexity.
  • Alternative data structures like segregated free lists or buddy allocators can be more efficient for specific allocation patterns.
  • Real-world allocators often use a combination of techniques, and the choice depends on the expected workload and performance requirements.

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

Q4

Compare first-fit and best-fit on allocation time, metadata overhead, and long-run fragmentation behavior. When would you prefer each?

Technical Trade-offsSystem Design
Author's notes

Went okay but I made the classic mistake of saying best-fit produces less fragmentation because it wastes less space per allocation.

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AI HintsAI Generated

Suggested Approach

Structure your answer by comparing first-fit and best-fit across the three specified dimensions: allocation time, metadata overhead, and long-run fragmentation. Then, clearly state scenarios where each policy is preferable, justifying with trade-offs. Use concrete examples to illustrate your points.

Pro tip: Mention that real systems often use hybrid approaches or segregated free lists, and that the choice depends on workload characteristics like allocation size distribution and lifetime patterns. This shows practical awareness beyond textbook definitions.

1. Define the policies

Briefly define first-fit and best-fit: first-fit allocates the first block that is large enough; best-fit allocates the smallest block that is large enough.

2. Compare allocation time

First-fit is generally faster because it stops at the first suitable block, while best-fit may scan the entire free list to find the smallest adequate block, increasing search time.

3. Compare metadata overhead

Both require similar metadata (e.g., free list pointers, size tags), but best-fit may need more complex data structures (e.g., balanced trees) to efficiently find the best block, increasing overhead.

4. Analyze long-run fragmentation

First-fit tends to create larger leftover fragments at the beginning of the heap, leading to external fragmentation over time. Best-fit minimizes leftover space per allocation but can create many tiny, unusable fragments (external fragmentation) and may suffer from internal fragmentation if block sizes are rounded up.

5. State preferences

Prefer first-fit when allocation speed is critical and fragmentation can be managed (e.g., with compaction or segregated lists). Prefer best-fit when memory utilization is paramount and allocation sizes are known to be diverse, but be aware of potential small fragment accumulation.

Key Points to Mention

  • First-fit is O(1) in the best case if the first block fits, but can degrade with many small free blocks at the start.
  • Best-fit is typically O(n) or O(log n) with optimized structures, but reduces wasted space per allocation.
  • First-fit can cause external fragmentation by leaving small unusable gaps at the beginning of the heap.
  • Best-fit can cause external fragmentation by creating many tiny free blocks that are too small to satisfy future requests.
  • Metadata overhead includes free list pointers, size fields, and possibly boundary tags; best-fit may require more complex free list organization.
  • Real-world allocators (e.g., glibc malloc) often use segregated free lists and hybrid policies to balance speed and fragmentation.

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

Q5

How would you make the allocator thread-safe, starting from a global lock and then reducing contention?

System DesignTechnical Trade-offs
Author's notes

Follow-up question, felt more conceptual.

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AI HintsAI Generated

Suggested Approach

Start by acknowledging that a global lock is simple but serializes all allocations, then systematically reduce contention using thread-local caches, per-thread arenas, and lock-free techniques. Emphasize trade-offs like memory overhead, fragmentation, and complexity, and tie your answer to real-world allocators like tcmalloc or jemalloc.

Pro tip: Mention that you would measure contention first (e.g., with perf or lock profiling) to avoid premature optimization, and that thread-local caches require careful handling of cross-thread deallocation (e.g., returning memory to a global pool or using remote free lists).

1. Start with a global lock

Explain that a single mutex around the allocator is correct but serializes all allocations, causing high contention and poor scalability on multicore systems.

2. Introduce thread-local caches

Describe giving each thread a small cache of free blocks so most allocations and frees are satisfied without touching the global lock, drastically reducing contention.

3. Use per-thread arenas or size-class sharding

For larger allocations or when caches miss, partition the heap into per-thread arenas or shard by size class to further reduce lock contention and improve locality.

4. Apply lock-free or fine-grained synchronization

For the remaining shared structures, use atomic operations, lock-free free lists, or fine-grained locks (e.g., per-arena locks) to minimize blocking.

5. Discuss trade-offs and validation

Cover costs like memory overhead, fragmentation, and complexity, and mention benchmarking with realistic workloads to validate scalability and correctness.

Key Points to Mention

  • Global lock bottleneck: serialization and cache-line bouncing
  • Thread-local caches (e.g., tcmalloc's thread cache) and their impact on fast path
  • Per-thread arenas or size-class sharding to reduce contention on slow path
  • Lock-free techniques: atomic free lists, CAS loops, and ABA problem
  • Cross-thread deallocation: remote free lists or returning memory to global pool
  • Trade-offs: memory overhead, fragmentation, complexity, and debugging difficulty

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

Q6

How do boundary tags enable O(1) coalescing without a prev pointer in the block header?

Algorithms & Data StructuresSystem Design
Author's notes

Short follow-up.

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AI HintsAI Generated

Suggested Approach

Explain that boundary tags store the size of a block at both its beginning and end, so when freeing a block, you can find the size of the previous block by looking at the word just before the current block's header. This allows you to compute the start of the previous block and coalesce it in constant time without needing a prev pointer in the header.

Pro tip: Mention that while boundary tags enable O(1) coalescing, they add a small space overhead (one word per block) and can complicate alignment; however, the trade-off is often worth it in general-purpose allocators like those in glibc malloc.

1. Define boundary tags

Explain that a boundary tag is a footer (or trailer) at the end of each free block that duplicates the block's size. This allows traversal backwards in memory.

2. Locate previous block

When freeing a block, read the word immediately before the current block's header to get the previous block's size. Subtract that size from the current block's address to find the start of the previous block.

3. Check if previous block is free

Use the previous block's header to check its allocation status (e.g., via a flag bit). If it's free, coalesce by merging the two blocks.

4. Coalesce and update tags

Merge the blocks by updating the size in the new combined block's header and footer. This maintains the boundary tag invariant for future coalescing.

5. Contrast with prev pointer

Highlight that without boundary tags, you'd need a prev pointer in each header to find the previous block, increasing header size. Boundary tags trade a footer for a prev pointer, often a net win.

Key Points to Mention

  • Boundary tags (footers) store block size at the end of each block.
  • The word before a block's header gives the size of the previous block.
  • Using that size, you can compute the previous block's address.
  • Coalescing is O(1) because it involves only a few arithmetic operations and pointer updates.
  • No prev pointer is needed in the header, saving space and simplifying the header structure.
  • The technique is used in real allocators like glibc malloc and dlmalloc.

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

Q7

How would you detect heap corruption, such as through canaries or header checksums, without unacceptable overhead?

System DesignTechnical Trade-offs
Author's notes

Last follow-up, pretty open-ended.

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AI HintsAI Generated

Suggested Approach

Start by acknowledging the trade-off between detection coverage and performance overhead, then propose a layered approach combining lightweight inline checks (e.g., canaries, header checksums) with optional heavier instrumentation for debugging. Emphasize that the goal is to catch common corruption patterns with minimal cost, and that the design should be tunable and context-aware.

Pro tip: Mention that canaries and checksums are most effective when placed strategically (e.g., at allocation boundaries) and that using hardware features like memory protection keys or guard pages can provide strong detection with near-zero overhead. Also note that sampling or probabilistic checks can balance overhead and detection.

1. Clarify requirements and constraints

Ask about the performance budget, the types of corruption to detect (e.g., buffer overflow, use-after-free), and whether the solution is for production or debugging. This shows you understand the context and can tailor the approach.

2. Propose lightweight inline mechanisms

Describe canaries (magic values) placed before and after allocated blocks, and header checksums that validate metadata integrity. Explain how these add minimal overhead (a few instructions per allocation/free) and catch common overflows.

3. Discuss overhead mitigation techniques

Suggest optimizations like using fast checksums (e.g., XOR or CRC32), aligning canaries to avoid extra memory, and enabling checks only in debug builds or via sampling in production. Mention that hardware features (e.g., Intel MPX, ARM MTE) can offload checks.

4. Layer with complementary techniques

Explain how to combine canaries with guard pages, redzones, or memory tagging for stronger detection. Note that these can be enabled selectively based on risk (e.g., for security-critical allocations).

5. Evaluate and iterate

Propose measuring overhead with benchmarks and tuning parameters (e.g., canary frequency, checksum algorithm). Emphasize that the solution should be configurable and that trade-offs depend on the application's tolerance for overhead vs. detection guarantees.

Key Points to Mention

  • Canaries (magic values) at allocation boundaries to detect overflows
  • Header checksums to validate metadata integrity
  • Overhead considerations: instruction count, memory footprint, cache impact
  • Hardware-assisted approaches: memory tagging (ARM MTE), protection keys (Intel MPK), guard pages
  • Sampling or probabilistic checking to reduce overhead in production
  • Trade-offs between detection coverage, performance, and complexity

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