Get Maximum Stability

Problem Overview

• Select a non-empty subset of servers to maximize stability = min(availability in subset) × sum(reliability in subset).
• Input: integer arrays availability and reliability (same length); Output: maximum stability modulo 1e9+7.
• Constraints: 1 < n ≤ 1e5; 1 ≤ values ≤ 1e6.
• Context: AWS deployment scenario with availability and reliability factors; an Amazon interviews coding interview problem and interview question.