Return code: 0
Duration: 87.1s

=== STDOUT ===
🚀 Running coder
📦 Dynamic packages: clingo
🤖 Creating agent with model: anthropic/claude-sonnet-4.5
🤖 Using model: anthropic/claude-sonnet-4.5
  python_exec: import clingo
  python_exec: defining function on_model()
  python_exec: defining function has_cycle()
  save_code: {'code': 'import clingo\nimpor...
  python_exec: executing file 035_feedback_vertex_set_hard_task_code.py
  report_issue: {'text': 'All is fine - no iss...


                                    Summary                                     

I've successfully completed the Answer Set Programming task to find a           
minimum-cost feedback vertex set. The solution:                                 

                                  Key Results:                                  

 • Feedback Set: {2, 5, 8, 11}                                                  
 • Total Cost: 18 (matching the expected minimum)                               
 • Remaining Vertices: {1, 3, 4, 6, 7, 9, 10, 12, 13, 14, 15}                   

                               ASP Model Design:                                

 1 Facts: Encoded all vertices, costs, groups, core edges, and conditional edges
 2 Choice Rule: { removed(V) : vertex(V) } - decides which vertices to remove   
 3 Constraints:                                                                 
    • Protected vertices cannot be removed                                      
    • At most one vertex per group can be removed                               
    • No cycles allowed in remaining graph                                      
 4 Edge Logic: Core edges always present; conditional edges only if source not  
   removed                                                                      
 5 Cycle Detection: Used transitive closure (reachable/2) to detect cycles      
 6 Optimization: Minimized total removal cost                                   

                                 Verification:                                  

 • ✅ Protected vertices 1 and 15 remain                                        
 • ✅ Exactly 1 vertex removed from groups A, B, C, D (none from E)             
 • ✅ No cycles in remaining graph (verified with DFS)                          
 • ✅ Total cost = 4 + 7 + 2 + 5 = 18                                           

The solution correctly handles all constraints and produces the optimal result. 

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

🔧 Tool Usage:
  python_exec            4 calls
  report_issue           1 calls
  save_code              1 calls

💬 Token Consumption:
  Input tokens:        84,989
  Output tokens:       5,025
  Total tokens:        90,014

⏱️  Execution time: 1m 26.2s
==================================================


=== STDERR ===
