Maximum Sum with Tiles

Problem Overview

• Given an array A of N integers, choose up to three tiles to maximize the sum of covered values.
• Each tile covers exactly two adjacent elements; tiles cannot overlap and must stay within the array.
• Input: array A; Output: integer maximum sum (returned by solution(A)).
• Context: resource allocation/tile placement to capture the highest total value.
• From Microsoft interviews; an interview question and coding interview problem centered on optimal selection.