I started with a plain stack for the no-tag case, which was fine, but the tag-based undo is where things got interesting.
Start by clarifying requirements and edge cases, then propose a data structure that supports efficient undo by tag and globally. Walk through the design, analyze time complexity for both operations, and discuss trade-offs between different approaches.
Pro tip: Mention that you would use a doubly linked list for the global undo stack and a hash map from tags to stacks of nodes, allowing O(1) undo by tag and global undo, while handling removal from the global list efficiently with node references.
Ask about expected frequency of operations, memory constraints, and whether commands can be undone multiple times or if undo is permanent. Confirm that tags are provided at execution time and that undo(tag) should undo the most recent command with that tag.
Propose a doubly linked list to maintain the global order of commands, and a hash map mapping each tag to a stack (or list) of references to nodes in the linked list. Each node stores the command and its tags.
For execute, append a new node to the global list and push its reference onto the stack for each tag. For undo(tag), pop the most recent node from the tag's stack (or global list if no tag), remove it from the global list, and remove its references from all other tag stacks.
Execute is O(k) where k is number of tags (for pushing to each tag stack). Undo(tag) is O(1) to find the node, but O(t) to remove its references from other tag stacks, where t is number of tags on that command. Global undo is O(t) for the same reason. Space is O(n * average tags per command).
Compare with simpler approaches like a single list with linear search for tag undo (O(n) time). Mention that if tags are few, the overhead of maintaining multiple stacks is acceptable. Also consider lazy deletion or using a balanced tree for ordered operations.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.