I started by just enumerating the cases based on length difference, which got me pretty far.
First clarify the operation definitions and edge cases, then propose an efficient algorithm that handles all operations in a single pass or with minimal comparisons. Discuss time and space complexity, and consider trade-offs between simplicity and performance.
Pro tip: Mention that you would confirm whether 'move' is considered a single operation or if it's equivalent to a delete followed by an insert, as this affects the solution. Also, proactively discuss how to handle multiple valid operations by defining a priority order.
Ask about the definition of 'move' (is it a single operation or two?), whether operations can be combined, and what to output if multiple operations are possible. Also consider empty strings, identical strings, and length differences.
If strings are equal, return 'no_change'. If length difference is more than 1, only a replace or move might work (but move doesn't change length), so check those cases separately.
For length difference of 1, use two pointers to find the first mismatch and verify the rest matches after skipping one character in the longer string (insert/delete). For equal lengths, check if exactly one character differs (replace).
If no insert/delete/replace works, check if moving one character can transform source to target. This can be done by finding the first and last mismatch and verifying that removing one character from source and inserting it elsewhere yields target.
Return the valid operation or 'impossible'. Analyze time complexity (O(n) for most checks) and space complexity (O(1) extra space). Mention potential optimizations or alternative approaches.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.