The ThreeSum problem is a well-known challenge in computer science and algorithm design, often encountered in various applications such as data analysis, financial modeling, and even game development. The essence of the problem is to identify unique triplets within an array of integers that sum up to a specified target, typically zero. This seemingly simple task can quickly become complex, especially as the size of the dataset increases. The significance of efficiently solving the ThreeSum problem lies not only in its theoretical implications but also in its practical applications. For instance, in financial markets, identifying combinations of investment options that result in zero net gain can help in risk assessment…