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This was a follow-up to a harder part 1 and I almost overthought it.
Recognize that since the workload can switch clusters freely each day, the maximum GPUs usable per day is simply the maximum value in that day's row. Sum these daily maxima to get the total maximum GPUs across all days. This reduces to a straightforward O(rows × columns) scan of the 2D array.
Pro tip: Clarify any assumptions about constraints (e.g., non-negative values, no per-cluster capacity limits) before diving into the solution, and mention that the greedy per-day choice is optimal because days are independent.
Confirm that the workload can use any number of GPUs from a single cluster per day, and that switching clusters daily is free and unconstrained.
For each day (row), find the maximum remaining GPUs across all clusters (columns). This is the most the workload can use that day.
Add the maximum values from each day to get the total maximum GPUs the workload can use across all days.
State that the algorithm runs in O(R × C) time and O(1) extra space, where R is the number of days and C is the number of clusters.
Mention handling of empty rows, negative values (if possible), or single-day/single-cluster scenarios to ensure robustness.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.