Discrete Mathematics: ICT101 Towers of Hanoi Problem Solution Report

This report provides a comprehensive analysis of the Towers of Hanoi problem, a classic puzzle with applications in computer science and discrete mathematics. The report begins with an introduction to the problem, including its origins and relevance, followed by a clear problem definition and the conditions governing its solution. It then delves into the real-world applications of the Towers of Hanoi, highlighting its benefits for cognitive development, problem-solving skills, and its use in computer programming and algorithm design. The core of the report focuses on the recursive game technique employed to solve the puzzle, explaining the recursive process and its advantages, such as reduced time complexity and code simplicity. The report includes a pseudocode example and a detailed explanation of the recursive algorithm, with a step-by-step breakdown of the algorithm's process. The report concludes by confirming the exponential increase in the number of steps required to solve the Towers of Hanoi problem and underscores the clarity of the recursive algorithm compared to other solution methods.