# Complete DOCPLEX implementation - Retry Attempt 4

from docplex.mp.model import Model

def entertainment_awards_optimization():
    # 1. MODEL & DATA SETUP
    mdl = Model(name="entertainment_awards")
    
    # Sample data based on the provided schema and realistic values
    engagement_scores = {
        (1, 1): 0.85,
        (2, 1): 0.75,
        (3, 1): 0.65
    }
    
    festival_nominations = {
        1: 5,
        2: 6,
        3: 4
    }
    
    artwork_types = {
        1: 0.9,  # Assuming Artwork_ID 1 is of type 'Film'
        2: 0.8,  # Assuming Artwork_ID 2 is of type 'Short'
        3: 0.7   # Assuming Artwork_ID 3 is of type 'Documentary'
    }
    
    # Extract unique Artwork_ID and Festival_ID
    Artwork_ID = list(set(artwork_id for (artwork_id, _) in engagement_scores.keys()))
    Festival_ID = list(festival_nominations.keys())
    
    # CRITICAL: Validate array lengths to prevent IndexError
    assert len(festival_nominations) == len(Festival_ID), "Festival nominations data mismatch"
    assert all((i, j) in engagement_scores for i in Artwork_ID for j in Festival_ID), "Engagement scores data mismatch"
    
    # 2. VARIABLES
    x = {(i, j): mdl.binary_var(name=f"x_{i}_{j}") for i in Artwork_ID for j in Festival_ID}
    
    # 3. OBJECTIVE FUNCTION
    objective = mdl.sum(engagement_scores[(i, j)] * x[(i, j)] for i in Artwork_ID for j in Festival_ID)
    mdl.maximize(objective)
    
    # 4. CONSTRAINTS
    
    # Maximum Nominations per Festival
    for j in Festival_ID:
        mdl.add_constraint(mdl.sum(x[(i, j)] for i in Artwork_ID) <= festival_nominations[j], ctname=f"max_nominations_{j}")
    
    # Minimum Diversity Requirement
    for j in Festival_ID:
        mdl.add_constraint(mdl.sum(artwork_types[i] * x[(i, j)] for i in Artwork_ID) >= 0.75, ctname=f"min_diversity_{j}")
    
    # 5. SOLVING & RESULTS
    solution = mdl.solve()
    
    if solution:
        print(f"Optimal value: {solution.objective_value}")
        for (i, j) in x:
            if solution.get_value(x[(i, j)]) > 0.5:
                print(f"Artwork {i} nominated for Festival {j}")
    else:
        print("No solution found")
        print(f"Status: {mdl.solve_details.status}")
    
    return mdl

# Execute the optimization
entertainment_awards_optimization()