Reduce Memory Usage

Problem Overview

• Given an array of process memory values and m, delete exactly m contiguous processes to minimize the remaining total memory; return that minimum.
• Input: int[] processes, int m. Output: int minimal remaining memory after deletion.
• Constraints (abridged): 1 < N, 1 < m < 100000, 1 < process[i] < 1e9.
• Real-world context: Amazon Data Center memory optimization.
• Amazon interviews: a coding interview problem and interview question.