How can you tell when you have successfully solved a problem in Computer Science?

2 Choose an approach

Once you have defined the problem, you need to choose an approach or a strategy to solve it. There are many possible approaches, such as: Divide and conquer, recursion, iteration, brute force, greedy, dynamic programming, backtracking, etc. Each approach has its own advantages and disadvantages, depending on the problem and the context. You can use heuristics, analogies, patterns, or examples to guide your choice of approach. You can also compare different approaches based on their time and space complexity, readability, and scalability.

3 Implement the solution

After choosing an approach, you need to implement the solution in code. This is where you translate your logic and reasoning into a programming language that can be executed by a computer. You need to pay attention to the syntax, semantics, and style of your code. You also need to follow the best practices and conventions of your chosen language and environment. You can use tools such as IDEs, compilers, debuggers, or code editors to help you write and check your code.

4 Test the solution

Once you have implemented the solution, you need to test it to see if it works as expected. Testing is a crucial step to verify the correctness and quality of your solution. You can use different types of testing, such as: Unit testing, integration testing, system testing, acceptance testing, etc. You can also use frameworks, libraries, or tools to automate or simplify your testing process. You need to test your solution with various inputs, outputs, and scenarios, especially the ones that are unusual or extreme.

5 Analyze the solution

After testing the solution, you need to analyze it to see if it meets the requirements and expectations of the problem. Analysis is a critical step to evaluate the efficiency and effectiveness of your solution. You can use different methods of analysis, such as: Mathematical analysis, empirical analysis, experimental analysis, etc. You can also use metrics, benchmarks, or tools to measure or compare your solution with others. You need to analyze your solution with respect to its time and space complexity, accuracy, reliability, and usability.

6 Refine the solution

Finally, after analyzing the solution, you need to refine it to see if you can improve it further. Refinement is an optional but beneficial step to optimize and enhance your solution. You can use different techniques of refinement, such as: Refactoring, debugging, commenting, documenting, etc. You can also use feedback, reviews, or suggestions to get new insights or perspectives on your solution. You need to refine your solution with respect to its readability, maintainability, modularity, and extensibility.