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Meta·Software Engineer·Technical Phone Screen·Senior

Senior
May 2026

Summary

Data Engineer interview at Meta with a set of coding problems that mixed practical library/log system design with classic algorithm stuff. Nothing too wild but the log validation one took longer than I expected.

Questions Asked (4)

Q1

Given an array of items each with a category and point value, and an integer k, select exactly k items such that all chosen items belong to different categories and the total points are maximized. What is the maximum sum achievable?

Algorithms & Data Structures
Author's notes

Greedy with a sort felt right to me: sort by points descending, then pick the highest-value item per category until you hit k.

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AI HintsAI Generated

Suggested Approach

Clarify the problem constraints and edge cases, then propose a greedy approach: for each category, keep only the highest point item, sort these top items in descending order, and sum the top k. If there are fewer than k categories, return an error or -1. Discuss time and space complexity, and consider alternative approaches like dynamic programming if constraints differ.

Pro tip: Mention that this is a variation of the 'maximum sum of k items from distinct categories' problem, and that the greedy choice is optimal because selecting the highest point item from each category never hurts. Also, proactively discuss how to handle ties or if k exceeds the number of categories.

1. Understand the problem

Restate the problem in your own words and ask clarifying questions about input format, constraints, and expected output for edge cases.

2. Identify the optimal strategy

Recognize that to maximize sum with distinct categories, you should pick the highest point item from each category, then choose the top k among those.

3. Outline the algorithm

Describe steps: group items by category, find max per category, collect these maxes, sort descending, and sum the first k. If fewer than k categories, handle appropriately.

4. Analyze complexity

State time complexity O(n + m log m) where n is number of items and m is number of categories, and space complexity O(m).

5. Discuss edge cases and alternatives

Mention cases like k=0, k > number of categories, negative points, and briefly note that if categories were not distinct, a different approach (e.g., heap) might be needed.

Key Points to Mention

  • Greedy approach: select max per category then top k
  • Time and space complexity analysis
  • Handling edge cases: k=0, k > number of categories, negative values
  • Proof of optimality: why greedy works (exchange argument)
  • Alternative approaches if constraints change (e.g., dynamic programming)
  • Use of data structures: hash map for grouping, sorting or heap for top k

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

Q2

Design a data structure to manage book locations in a library, supporting add, move, remove, and get_location operations efficiently. A location can include branch, aisle, shelf, and position.

System DesignData Modeling
Author's notes

Basically a hash map from book ID to a location tuple.

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AI HintsAI Generated

Suggested Approach

Start by clarifying requirements and constraints, then propose a hash map-based design that maps book IDs to location objects, with auxiliary indexes for efficient queries by location. Discuss trade-offs between different data structures and how to handle updates and deletions.

Pro tip: Mention that you would use a composite key (branch, aisle, shelf, position) for the location index to enable efficient range queries and that you would consider concurrency control for multi-user access.

1. Clarify Requirements

Ask about expected operations, frequency, data size, and whether location queries need to be efficient (e.g., find all books in a branch).

2. Propose Core Data Structures

Suggest a primary hash map from book ID to location, and a secondary index (e.g., another hash map or sorted structure) from location to book ID(s) for reverse lookups.

3. Detail Operations

Explain how add, move, remove, and get_location work with the proposed structures, ensuring O(1) average time for key operations.

4. Discuss Trade-offs and Optimizations

Compare alternatives (e.g., B-tree for range queries) and mention potential optimizations like caching or sharding for scale.

5. Address Edge Cases and Concurrency

Cover handling of duplicate locations, missing books, and thread-safety if needed.

Key Points to Mention

  • Use of hash maps for O(1) average time complexity on add, move, remove, and get_location.
  • Maintaining a reverse index (location to book ID) to support queries like 'what books are on this shelf?'
  • Handling of move operation: update both primary and reverse indexes atomically.
  • Consideration of memory overhead and potential need for compaction or garbage collection.
  • Scalability: sharding by branch or using distributed hash tables if the library system is large.
  • Concurrency: using locks or concurrent data structures if multiple librarians update simultaneously.

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

Q3

Given a chronological list of library events (timestamp, book ID, member ID, action where action is checkout, return, or renew), validate the log according to these rules: a book can't be held by two members at once, a return must follow a checkout, a renew can only be done by the current holder, and timestamps per book must be non-decreasing. Return a boolean and, if invalid, the index of the first bad event.

Algorithms & Data StructuresTechnical Trade-offs
Author's notes

This one tripped me up more than I want to admit.

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AI HintsAI Generated

Suggested Approach

Use a hash map to track the current holder and last timestamp for each book, and iterate through the events once, validating each event against the rules. Return false with the index of the first invalid event, or true if all events are valid.

Pro tip: Clarify edge cases upfront, such as whether a book can be checked out immediately after return, and mention that the solution runs in O(n) time with O(b) space where b is the number of books.

1. Clarify rules and edge cases

Confirm assumptions: e.g., can a book be renewed multiple times? Is a return allowed if the book was never checked out? What about timestamps equal to previous?

2. Choose data structures

Use a hash map keyed by book ID to store the current holder (member ID or null) and the last event timestamp for that book.

3. Iterate and validate

For each event, check timestamp non-decreasing, then apply action-specific rules: checkout requires no current holder; return requires current holder matches; renew requires current holder matches.

4. Handle invalid events

If any rule is violated, immediately return false and the current index. Otherwise, update the state for that book.

5. Return result

After processing all events, return true if no violations were found.

Key Points to Mention

  • Time and space complexity: O(n) time, O(b) space where b is number of unique books.
  • Use of hash map for O(1) lookups per event.
  • Handling of edge cases: empty log, single event, duplicate timestamps, renew after return.
  • Clear separation of validation logic per action type.
  • Early termination on first invalid event to optimize.
  • Discussion of trade-offs: e.g., storing full history vs. only current state.

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

Q4

Determine whether two lowercase strings are anagrams of each other, but without using any counter utility from a standard library. Use only basic data structures like arrays or dictionaries.

Algorithms & Data Structures
Author's notes

Standard anagram check with a frequency array of size 26.

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AI HintsAI Generated

Suggested Approach

First, clarify that anagrams have the same character counts. Then, choose a fixed-size array (e.g., size 26) to count character frequencies, incrementing for the first string and decrementing for the second. Finally, verify all counts are zero.

Pro tip: Mention that a fixed-size array is O(1) space and faster than a hash map for lowercase English letters, and always confirm the character set with the interviewer.

1. Clarify assumptions

Confirm that the strings contain only lowercase English letters and that anagrams must have the same length. Ask if the character set is fixed or could include other characters.

2. Choose data structure

Select a fixed-size array of 26 integers (or a dictionary if the character set is unknown) to count character frequencies. Explain why this is efficient.

3. Count frequencies

Iterate through the first string, incrementing the count for each character. Then iterate through the second string, decrementing the count for each character.

4. Validate counts

After processing both strings, check that all counts are zero. If any count is non-zero, the strings are not anagrams.

5. Analyze complexity

State that the time complexity is O(n) where n is the length of the strings, and space complexity is O(1) for a fixed-size array (or O(k) for a dictionary with k distinct characters).

Key Points to Mention

  • Anagrams must have the same length; early exit if lengths differ.
  • Using a fixed-size array (e.g., 26 for lowercase English) is more efficient than a hash map.
  • Increment counts for the first string and decrement for the second to avoid a separate comparison loop.
  • Time complexity is O(n) and space complexity is O(1) for a fixed character set.
  • Edge cases: empty strings, strings with repeated characters, and strings with different lengths.
  • If the character set is not limited to lowercase English, use a dictionary and discuss trade-offs.

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