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Xai·Software Engineer·Technical Phone Screen·Senior

SeniorPrefer not to say
May 2026

Summary

xAI software engineer interview with a classic LRU cache design problem. The constraint about not using built-in ordered structures was the real test, pretty standard for this level but the O(1) requirement forces you to actually think.

Questions Asked (1)

Q1

Design and implement a fixed-capacity LRU cache from scratch supporting get and put in O(1) time, without using any built-in ordered map or cache utility.

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

The O(1) constraint is what makes this non-trivial.

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AI HintsAI Generated

Suggested Approach

Start by clarifying requirements (fixed capacity, O(1) get/put, no built-in ordered map). Then explain the classic hash map + doubly linked list design, emphasizing how it achieves O(1) operations. Finally, walk through the implementation details, edge cases, and trade-offs.

Pro tip: Mention that you would use a sentinel head and tail node to eliminate null checks and simplify edge cases, and discuss how you would handle thread safety if needed.

1. Clarify Requirements and Constraints

Confirm the exact operations (get, put), capacity behavior (evict least recently used when full), and that no built-in ordered map or cache utility can be used. Ask about thread safety and expected data types.

2. Choose Data Structures

Select a hash map for O(1) key lookup and a doubly linked list for O(1) insertion, deletion, and reordering. Explain why a singly linked list or array would not meet the O(1) requirement.

3. Design the Algorithm

Describe how get moves the accessed node to the front (most recently used) and returns its value. Describe how put inserts or updates a node at the front and evicts the tail (least recently used) if capacity is exceeded.

4. Implement the Code

Write clean code for the Node class, the doubly linked list operations (add to front, remove node, move to front), and the LRU cache class with get and put methods. Use sentinel nodes to simplify edge cases.

5. Analyze Complexity and Edge Cases

State that both get and put are O(1) time and O(capacity) space. Discuss edge cases: empty cache, single item, updating existing key, eviction when full, and handling capacity 0 or 1.

Key Points to Mention

  • Hash map provides O(1) access to nodes by key.
  • Doubly linked list maintains recency order with O(1) insert/delete.
  • Sentinel head and tail nodes simplify boundary conditions.
  • Eviction policy: remove tail node when capacity is exceeded.
  • Thread safety considerations (e.g., locks) if the cache is shared.
  • Trade-offs: memory overhead of pointers vs. simpler array-based approach.

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