Return code: 0
Duration: 60.3s

=== STDOUT ===
🚀 Running coder
📦 Dynamic packages: clingo
🤖 Creating agent with model: anthropic/claude-sonnet-4.5
🤖 Using model: anthropic/claude-sonnet-4.5
  python_exec: defining function on_model()
  python_exec: edges = {
  save_code: {'code': 'import clingo\nimpor...
  report_issue: {'text': 'All is fine - no iss...


                                    Summary                                     

I've successfully completed the Hamiltonian path problem using Answer Set       
Programming with clingo.                                                        

Solution Approach:                                                              

 • Used a position-based encoding where each vertex is assigned to exactly one  
   position (0-5) in the path                                                   
 • Enforced bidirectional uniqueness: each vertex appears at exactly one        
   position, and each position contains exactly one vertex                      
 • Added constraints to ensure the path starts at vertex 0, ends at vertex 5,   
   and consecutive positions follow valid directed edges                        
 • Configured clingo to find all answer sets to enumerate all Hamiltonian paths 

Results: The solution found 4 valid Hamiltonian paths:                          

 1 0 -> 2 -> 1 -> 3 -> 4 -> 5                                                   
 2 0 -> 2 -> 1 -> 4 -> 3 -> 5                                                   
 3 0 -> 1 -> 2 -> 3 -> 4 -> 5                                                   
 4 0 -> 1 -> 2 -> 4 -> 3 -> 5                                                   

All paths have been verified to satisfy the constraints, and the output is      
formatted as requested in JSON format.                                          

==================================================
📊 Execution Statistics
==================================================

🔧 Tool Usage:
  python_exec            2 calls
  report_issue           1 calls
  save_code              1 calls

💬 Token Consumption:
  Input tokens:        98,503
  Output tokens:       2,813
  Total tokens:        101,316

⏱️  Execution time: 58.0s
==================================================


=== STDERR ===
