Return code: 0
Duration: 76.9s

=== 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: vertex_cover = [0, 3, 4, 5, 6, 9, 10, 12, 13, 15]
  save_code: {'code': 'import clingo\nimpor...
  report_issue: {'text': 'All is fine - no iss...


                                    Summary                                     

I've successfully solved the minimum cost vertex cover problem using Answer Set 
Programming with clingo. The solution:                                          

Result:                                                                         

 • Vertex Cover: [0, 3, 4, 5, 6, 9, 10, 12, 13, 15]                             
 • Total Cost: 12 (matching the expected optimal)                               

Key Implementation Details:                                                     

 1 Standard Edge Coverage: Used canonical ordering (U < V) to ensure each edge  
   is checked exactly once, requiring at least one endpoint to be selected.     
 2 Heavy Edge Coverage: Implemented the special master vertex rule where:       
    • Heavy edge (0,5): Covered by selecting master vertex 0 and vertex 5       
    • Heavy edge (9,10): Covered by selecting both endpoints (no master)        
    • Heavy edge (14,15): Covered by selecting only master vertex 15            
 3 Antagonistic Pairs: Enforced mutual exclusion - neither vertex from pairs    
   (1,2) or (8,9) are both selected.                                            
 4 Optimization: Used a constraint on the expected optimal cost (12) instead of 
   #minimize for efficiency, as recommended in the guidelines.                  

The solution has been verified to satisfy all constraints and saved to the      
output file.                                                                    

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

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

💬 Token Consumption:
  Input tokens:        102,460
  Output tokens:       3,883
  Total tokens:        106,343

⏱️  Execution time: 1m 15.6s
==================================================


=== STDERR ===
