Toptal developers use a variety of techniques and strategies to tackle complex problems efficiently. They have a deep understanding of algorithmic complexity, data structures, and mathematical optimization, allowing them to choose the best algorithms for each task, such as sorting, searching, or graph theory algorithms. Toptal developers are proficient in multiple programming languages (e.g., C++, Java, Python), and they apply their expertise in algorithm design and optimization to a wide range of applications, such as machine learning, artificial intelligence, and data processing and analysis. Using advanced techniques like dynamic programming, greedy algorithms, and divide-and-conquer, Toptal developers are able to develop efficient, scalable, and robust solutions to meet any algorithmic challenge.