Please do not answer my question yet. Before giving your answer, please complete the following analysis:
1. Point out any assumptions I have made that I did not explicitly state but have taken for granted.
2. Tell me what key information is still missing and how that information might change your answer.
3. Identify the most common mistake people make when dealing with this type of problem.
Then, ask me only one most critical question. This question should help you understand my true goal and specific situation, making the final answer truly useful to me, rather than generic advice that anyone could use. After I answer, you can give the final output. My question is: [Paste your question]
