← Bytedance Interview Insights
I knew deque was the answer immediately but then they said 'describe the pointer arithmetic in detail' and I kind of froze.
Start by clarifying that a circular buffer backed by a dynamic array can achieve O(1) for all operations by maintaining head and tail indices and resizing when full. Explain the pointer arithmetic for push/pop at both ends and index-based access using modular arithmetic. Then detail the resize strategy, including when to grow/shrink and how to copy elements in order.
Pro tip: Mention that resizing is amortized O(1) and discuss trade-offs like memory overhead and potential worst-case latency; this shows you understand practical system design beyond just theoretical complexity.
Confirm that all operations must be O(1) amortized, and discuss whether index-based access is 0-based or 1-based. Ask about expected usage patterns to inform resize strategy.
Explain that you maintain a dynamic array, a head index pointing to the first element, a tail index pointing to the next insertion point at the end, and a size counter. Use modular arithmetic to wrap around.
For lpush: decrement head modulo capacity and insert. For lpop: remove at head and increment head modulo capacity. For rpush: insert at tail and increment tail modulo capacity. For rpop: decrement tail modulo capacity and remove. Update size accordingly.
To access element at index i, compute (head + i) % capacity. This gives O(1) access as long as the buffer is not resized concurrently.
When size equals capacity, double the capacity and copy elements in order from head to tail into the new array, resetting head to 0 and tail to size. When size falls below a quarter of capacity, halve the capacity to save memory. Discuss amortized O(1) and trade-offs.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.