Understand the Problem Clearly define the problem you want to solve. Identify the inputs (data provided) and the desired output (result).

Break Down the Problem Divide the problem into smaller, manageable subproblems. Analyze each subproblem to determine the logic required to solve it.

Plan the Approach Decide on the sequence of steps needed to solve the problem. Consider using pseudocode to outline the steps in plain language.

Write the Algorithm Document each step clearly and unambiguously. Ensure the algorithm has a finite number of steps and produces a result.

Test the Algorithm Run the algorithm with different inputs, including edge cases, to verify its correctness. Check if the algorithm handles all scenarios as expected.

Optimize the Algorithm Analyze the time complexity (execution time) and space complexity (memory usage). Refine the algorithm to improve efficiency without altering its functionality.

Implement the Algorithm Convert the algorithm into code using a programming language of your choice. Use the pseudocode as a guide for implementation.

Iterate and Improve Continuously test and refine the algorithm to handle new requirements or improve performance.