1. Divide and Conquer Algorithms Description and Examples at toptal-com-algorithms interview-questions in JavaScript
By: Chrysanthus Date Published: 27 Oct 2025
Solution
Divide and Conquer algorithms are a paradigm for solving problems that involve several basic steps. First, we divide the problem into smaller pieces and work to solve each of them independently. That is, divide given list into smaller parts, and work to solve each of them independently. Once we’ve solved all of the pieces, we take all of the resulting smaller solutions and combine them into a single integrated comprehensive solution. This second stage is the conquering stage.This process can be performed recursively; that is, each "sub problem" can itself be subdivided into even smaller parts if necessary. This recursive division of the problem is performed until each individual problem is small enough to become relatively trivial to solve.
Some common examples of problems that lend themselves well to this approach are binary search, sorting algorithms (e.g., Merge Sort, Quicksort), optimization of computationally complex mathematical operations (Exponentiation, FFT, Strassen’s algorithm), and others.