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Meta·Software Engineer·Technical Phone Screen·Intermediate

Intermediate
Jun 2026

Summary

Meta SWE interview that went deep on a nested list depth-sum problem. They wanted both recursive and iterative solutions, complexity analysis, and a discussion on interface design for nested element access. A lot to cover in one question.

Questions Asked (3)

Q1

Given a nested structure of integers and lists, compute the sum of all integers each multiplied by their depth, where the top level counts as depth 1. Handle edge cases like empty lists, deeply nested structures, and negative integers.

Algorithms & Data StructuresTechnical Trade-offs
Author's notes

The base case tripped me up more than I expected.

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AI HintsAI Generated

Suggested Approach

Clarify the problem and edge cases first, then present a recursive depth-first traversal that passes the current depth down the call stack. Discuss time and space complexity, and mention iterative alternatives or optimizations like tail recursion or memoization if applicable.

Pro tip: Show awareness of recursion depth limits and propose an iterative solution using an explicit stack to avoid stack overflow for deeply nested structures. This demonstrates production-level thinking beyond just solving the problem.

1. Clarify Requirements and Edge Cases

Ask clarifying questions: Can the structure contain other types? How deep can nesting go? Confirm that empty lists contribute 0 and negative integers are handled normally. Discuss potential integer overflow.

2. Outline Recursive Approach

Explain that you'll traverse the structure recursively, passing the current depth (starting at 1). For each integer, add integer * depth to a running sum; for each list, recurse with depth + 1.

3. Analyze Complexity and Trade-offs

State that time complexity is O(N) where N is total number of elements (integers and lists), and space complexity is O(D) for recursion depth D. Mention that an iterative approach using a stack can reduce space overhead and avoid recursion limits.

4. Discuss Edge Cases and Optimizations

Cover empty lists, deeply nested structures (potential stack overflow), negative integers, and large numbers. Suggest iterative solution or tail recursion optimization if language supports it.

5. Provide Code or Pseudocode

Write clean, well-commented code (or pseudocode) for the recursive solution, then optionally show the iterative version. Test with a small example to demonstrate correctness.

Key Points to Mention

  • Recursive depth-first traversal with depth parameter
  • Time complexity O(N) and space complexity O(D)
  • Handling of empty lists (return 0) and negative integers
  • Potential stack overflow for deep nesting and iterative alternative
  • Integer overflow considerations for large sums
  • Clarifying questions to ensure correct interpretation

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

Q2

Walk through both a recursive (DFS) and an iterative (BFS or stack-based) approach to the nested depth-sum problem, and analyze the time and space complexity of each.

Algorithms & Data StructuresTechnical Trade-offs
Author's notes

Recursive was fine, O(n) time and O(d) space for call stack depth.

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AI HintsAI Generated

Suggested Approach

First, clarify the problem definition and edge cases, then present both recursive DFS and iterative BFS/stack solutions with clear code or pseudocode. Finally, analyze time and space complexity for each, discussing trade-offs and when to prefer one over the other.

Pro tip: Mention that recursion depth can cause stack overflow for deeply nested structures, so an iterative approach may be safer in production; also note that BFS uses a queue and processes level by level, which can be more memory-efficient for wide trees.

1. Clarify the problem

Restate the nested depth-sum problem: given a nested list structure, compute the sum of all integers weighted by their depth. Confirm input format and edge cases (empty list, non-integer elements, etc.).

2. Recursive DFS solution

Describe a recursive function that traverses the nested list, passing the current depth. For each element, if it's an integer, add it multiplied by depth; if it's a list, recurse with depth+1.

3. Iterative solution

Present an iterative approach using a stack (DFS) or queue (BFS). For stack-based DFS, push elements with their depth; for BFS, use a queue and process level by level, tracking depth.

4. Complexity analysis

Analyze time complexity: both approaches visit each element once, so O(N) where N is total number of elements (including nested lists). Space complexity: recursive DFS uses O(D) call stack where D is max depth; iterative BFS uses O(W) queue where W is max width; stack-based DFS uses O(D) stack.

5. Trade-offs and conclusion

Discuss when to use each: recursion is simpler but risks stack overflow; iterative is more robust for deep structures. Mention that BFS may use more memory for wide trees, while DFS uses less memory for deep but narrow trees.

Key Points to Mention

  • Time complexity is O(N) for both approaches, where N is the total number of elements (integers and nested lists).
  • Space complexity for recursive DFS is O(D) due to call stack, where D is maximum depth.
  • Space complexity for iterative BFS is O(W) where W is maximum width (number of nodes at a level).
  • Stack-based iterative DFS has space complexity O(D) similar to recursion but avoids call stack overflow.
  • Edge cases: empty nested list, single integer, deeply nested lists, and non-integer elements (if applicable).
  • Trade-offs: recursion is concise but limited by stack depth; iterative is more verbose but safer for deep structures.

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

Q3

How would you design an interface for accessing elements within a nested structure like this?

System DesignAPI & Integrations
Author's notes

Completely did not see this coming after two rounds of coding.

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AI HintsAI Generated

Suggested Approach

Start by clarifying the requirements and constraints of the nested structure, such as depth, element types, and access patterns. Then propose a clean, intuitive interface that abstracts away the complexity, and discuss trade-offs between different design choices like recursive vs iterative access, error handling, and performance.

Pro tip: Demonstrate awareness of real-world usage by considering how the interface would be used in practice, including edge cases like missing keys or deep nesting, and suggest ways to make it ergonomic and efficient.

1. Clarify Requirements

Ask questions to understand the structure's characteristics: is it homogeneous or heterogeneous, what are the access patterns (read/write, frequent vs rare), and what are the performance constraints?

2. Define the Interface

Propose a clear API, such as a path-based accessor (e.g., get(path) where path is an array of keys/indices) or a fluent builder, ensuring it handles nested access uniformly.

3. Handle Edge Cases

Discuss error handling for invalid paths, missing elements, or type mismatches, and consider whether to return null, throw exceptions, or use optional types.

4. Optimize and Extend

Talk about performance optimizations like caching, lazy evaluation, or iterative traversal, and how the interface could support mutations, iteration, or querying.

5. Evaluate Trade-offs

Compare alternative designs (e.g., recursive vs iterative, generic vs type-specific) and justify your choices based on the requirements and constraints.

Key Points to Mention

  • Path-based access using arrays or dot-notation for simplicity and readability
  • Error handling strategies: exceptions, null returns, or optional types
  • Performance considerations: recursion depth, caching, and lazy evaluation
  • Type safety and generics to support various element types
  • Extensibility for mutations, iteration, and querying
  • Real-world examples like JSON traversal or DOM manipulation

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