Understanding divide and conquer algorithms

In computer science, divide-and-conquer is an algorithmic paradigm that recursively breaks a larger problem into smaller subproblems of the same type until they are small enough to be solved directly. These smaller problems are solved, and their solutions are combined to formulate the solution to the original problem. It follows three phases:

• Divide: Divide the bigger problem into smaller subproblems.
• Apply: Solve the smaller subproblems.
• Combine: Combine the solutions from the smaller subproblems to create the bigger solution.

Example

We use this approach more often than we realise in everyday life. Imagine preparing for a history exam with a huge syllabus. Rather than attempting to memorise everything at once, you break the chapters into smaller sections, study each one separately, and then connect the ideas later. This is essentially how the divide-and-conquer strategy works, and it can be understood in three main phases: