The split approach came naturally: split on '+' to get additive terms, then split each term on '*' and multiply across.
Start by clarifying the problem constraints and edge cases, then present the split-based solution using a stack to handle operator precedence, followed by the single-pass O(1)-space solution that tracks the last term. Compare their time/space complexity, code simplicity, and suitability for different scenarios, emphasizing the tradeoffs.
Pro tip: Mention that the single-pass solution can be extended to handle parentheses with a stack, but the split-based solution would require recursion or a more complex parser. This shows foresight and understanding of real-world parsing challenges.
Ask about input format, possible edge cases (e.g., leading/trailing spaces, multiple digits, zero), and whether the expression is guaranteed valid. Confirm that only '+' and '*' are present and no parentheses.
Explain splitting the string by '+' to get terms, then for each term split by '*' and multiply the numbers. Sum the results. Use a stack or direct computation. Mention time O(n) and space O(n) due to storing tokens.
Describe iterating through the string, maintaining a running sum and a 'last' value for the current term. When encountering '+', add the last term to sum and reset; when '*', multiply last by the next number. At the end, add the last term. Space O(1), time O(n).
Discuss that split-based is simpler to implement and understand but uses extra space; single-pass is more efficient in space but slightly trickier to code. Consider readability, maintainability, and performance for large inputs.
Mention how to handle parentheses (stack-based for single-pass, recursion for split-based) and relate to ML engineering tasks like parsing configuration strings or expression evaluation in models.
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