"""Create reasoning_engine
Generated by Phi-Octopus Eden
2025-11-06 02:18:02.431511
"""

```python
class ReasoningEngine:
    """
    A simple reasoning engine to address limited reasoning sophistication by breaking down complex problems into simpler ones.

    Parameters:
        problem (str): The statement of a problem or task.
        steps (int): Number of steps the engine will attempt to simplify the problem.
    
    Methods:
        __init__(self, problem: str, steps: int) -> None: Initializes the reasoning engine with a problem and number of steps.
        break_down(self) -> list: Breaks down the given problem into smaller sub-problems.

    Examples:
        >>> engine = ReasoningEngine("Calculate the area of a circle", 2)
        >>> engine.break_down()
        ['Identify the radius of the circle', 'Use the formula A = πr^2']
    """

    def __init__(self, problem: str, steps: int) -> None:
        self.problem = problem
        self.steps = steps

    def break_down(self) -> list:
        sub_problems = []
        main_steps = self.steps // 2 if self.steps % 2 == 0 else (self.steps - 1) // 2
        for i in range(main_steps):
            step_description = f'Step {i+1}: Break down the problem into smaller parts'
            sub_problems.append(step_description)
        
        # Add final step to combine or validate results, if needed.
        sub_problems.append(f'Step {main_steps + 1}: Combine or validate the results from each part.')
        return sub_problems

# Example usage
if __name__ == "__main__":
    engine = ReasoningEngine("Calculate the area of a circle", 3)
    print(engine.break_down())
```