Recursive Problem Decomposition: Analyze the process of problem decomposition in

recursive algorithms based on the divide$-$and$-$conquer paradigm. Investigate how

breaking down complex problems into smaller, more manageable subproblems

simplifies problem$-$solving and leads to elegant algorithmic solutions. Discuss common

techniques for dividing problems recursively, such as binary splitting, partitioning, or

tree decomposition, and illustrate their application in solving real$-$world problems

across various domains, including computer science, mathematics, and engineering.