This one took me a while to frame correctly.
Clarify the exact semantics of each keystroke and the desired output format, then design a single-pass algorithm that processes operations while maintaining a cursor position and a stack of compressed operations. Use a stack to merge consecutive same-type operations and cancel redundant pairs like append-then-backspace, ensuring O(n) time and space.
Pro tip: Explicitly discuss how you handle edge cases such as backspacing at the beginning of the document or moving the cursor beyond the current text length, and explain how your merging logic preserves correctness when operations are interleaved.
Ask questions to confirm the exact behavior of each keystroke (e.g., does backspace delete the character before the cursor? Can the cursor move beyond the text?) and the expected output format (e.g., list of operations with types and values).
Choose a stack to store compressed operations and a variable to track the cursor position. Each stack element represents an operation (insert, delete, skip) with its value and possibly the cursor position at the time of operation.
Iterate through the keystroke sequence, updating the cursor and the stack. When adding a new operation, check if it can be merged with the top of the stack (same type) or if it cancels a previous operation (e.g., append then backspace).
Implement logic to cancel out redundant sequences: if an append is immediately followed by a backspace, remove the append; if a delete is followed by an insert that restores the deleted text, consider merging or canceling. Also handle cursor movements that may affect operation grouping.
Explain that the algorithm runs in O(n) time and uses O(n) space in the worst case. Walk through a few examples, including edge cases, to demonstrate correctness and discuss potential optimizations.
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