Maximize Sum of Array

Problem Overview

• Maximize the total sum by selecting elements as the array is reduced from both ends each step.
• Input: array of integers; Output: maximum achievable sum after the process ends.
• At each step, choose any remaining element, add it to the sum, then remove the first and last elements.
• Domain: array optimization and constrained selection in practical scenarios.
• Amazon interview question and a common coding interview problem.