Return code: 0
Duration: 113.4s

=== 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 generate_asp_program()
  python_exec: defining function solve_max_flow()
  python_exec: defining function verify_solution()
  python_exec: defining function solve_max_flow()
  save_code: {'code': 'import clingo\nimpor...
  report_issue: {'text': 'Task completed succe...


                                Task Complete ✓                                 

I've successfully solved the maximum flow problem with budgetary constraints and
flow type balancing using Answer Set Programming (ASP) with the clingo API.     

                               Solution Summary:                                

Maximum Flow Achieved: 12 (matching the expected value)                         

Key Implementation Details:                                                     

 1 ASP Model Structure:                                                         
    • Choice rules to select flow amounts (0 to capacity) for each edge         
    • Flow conservation constraints for intermediate nodes                      
    • Budget constraint limiting total cost to 100                              
    • Priority node constraints ensuring ≥75% premium outgoing flow             
    • Global flow balancing ensuring standard ≥ 50% of premium                  
    • Optimization directive to maximize total flow                             
 2 Verification Results:                                                        
    • ✓ All capacity constraints satisfied                                      
    • ✓ Flow conservation at all intermediate nodes                             
    • ✓ Budget: 98 ≤ 100                                                        
    • ✓ Priority nodes (3, 5) have 100% premium outflow                         
    • ✓ Standard flow (32) ≥ 50% of premium flow (14)                           
 3 Performance:                                                                 
    • Solution found quickly, well within the 10-second time limit              
    • Clean JSON output format as required                                      

The code has been saved to 031_network_flow_hard_task_code.py and is ready to   
use.                                                                            

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

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

💬 Token Consumption:
  Input tokens:        121,359
  Output tokens:       6,772
  Total tokens:        128,131

⏱️  Execution time: 1m 52.1s
==================================================


=== STDERR ===
