Seemed obvious at first, just grab the min from each array and add them.
Clarify that the minimum total cost is the sum of the minimum departure price and the minimum return price, as the two legs are independent. Then propose a single-pass solution that tracks the minimum of each array in O(n + m) time and O(1) space. If the problem instead requires pairing specific departure and return tickets, ask for clarification and adapt to a two-pointer or sorting approach.
Pro tip: Always confirm whether the arrays are independent or paired; Meta interviewers often expect you to handle ambiguity and optimize for the common case, but showing you can adapt to constraints demonstrates senior-level thinking.
Ask whether the departure and return tickets are independent or must be paired, and whether the arrays are sorted or have any constraints. Confirm that the goal is to minimize the sum of one departure and one return price.
Recognize that if the choices are independent, the minimum total cost is simply the minimum departure price plus the minimum return price. This reduces the problem to finding the minimum in each array.
Propose a linear scan of each array to find the minimum values, achieving O(n + m) time and O(1) extra space. If the arrays are sorted, mention that the minimums are at the first indices, giving O(1) time.
Discuss edge cases such as empty arrays or negative prices. If the problem requires pairing, outline a two-pointer approach after sorting both arrays, or a brute-force O(n*m) method for small inputs.
State the time and space complexity of your solution. Walk through a small example to verify correctness, and consider writing pseudocode or actual code if requested.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.