Deep Reasoning Analysis

You will analyze the following problem using systematic sequential thinking:

Problem Statement: $ARGUMENTS

Process

You MUST use the mcp__sequential-thinking__sequentialthinking tool to solve this problem. Follow this structured approach:

1. Initial Assessment: Start with an estimate of complexity and required thought steps
2. Decomposition: Break the problem into manageable components
3. Iterative Analysis:
   • Analyze each component systematically
   • Question assumptions and revise as needed
   • Generate hypotheses when appropriate
4. Hypothesis Verification: Test and validate proposed solutions
5. Synthesis: Combine insights into a coherent solution
6. Validation: Ensure the solution addresses all aspects of the original problem

Important Guidelines

• Express uncertainty when present - it's okay to revise your thinking
• Don't hesitate to add more thought steps if needed
• Mark thoughts that revise previous analysis
• Continue until you reach a satisfactory, well-reasoned solution
• Provide a clear, actionable answer as the final output
• When considering multiple approaches, use mcp__sequential-thinking__sequentialthinking branches.

Output Format

After completing the sequential thinking process, ask the user if they want to save the analysis as a markdown file in paper format.

If yes, use AskUserQuestion to determine:

1. Language: English or Spanish
2. Customization: If they want to modify the default paper structure

Default paper structure:

• Title based on the problem
• Abstract/Summary
• Problem Statement (original problem)
• Reasoning Process (all sequential thinking steps)
• Solution (highlighted final answer)
• Metadata (date, thought iterations count)

Then create the markdown file in the current working directory with a descriptive filename based on the problem (e.g., deep-analysis-distributed-caching-YYYY-MM-DD.md).

Allow the user to review and customize the structure before writing the file.