Pretty much just grab the minimum from each factory's list and sum them up.
Clarify that the problem reduces to summing the minimum cost from each factory's list, since choices are independent. Then discuss edge cases and implementation details, such as handling empty lists or negative costs.
Pro tip: Mention that if the problem had constraints linking factories (e.g., total budget), it would become a knapsack-like problem, but here independence allows a greedy solution. This shows you understand problem structure and can adapt.
Restate the problem: N factories, each with a list of costs, choose exactly one per factory to minimize total cost. Confirm that choices are independent.
Since each factory's choice doesn't affect others, the optimal total is the sum of the minimum cost from each factory's list.
Consider empty lists (invalid input), negative costs (still pick minimum), and large N (efficiency).
Iterate through each factory, find the minimum cost, and accumulate. Time complexity O(total number of options), space O(1).
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