"""Create reasoning_engine
Generated by Phi-Octopus Eden
2025-11-07 01:47:28.262186
"""

```python
class ReasoningEngine:
    """
    A basic reasoning engine that solves a limited reasoning problem.
    
    This class is designed to determine whether an integer can be expressed as the sum of two squares.
    It uses simple mathematical operations and logical checks to evaluate this property for any given input.
    """

    def __init__(self):
        pass

    def can_be_sum_of_squares(self, number: int) -> bool:
        """
        Determines if a given integer is expressible as the sum of two squares.

        Args:
            number (int): The integer to check.

        Returns:
            bool: True if the number can be expressed as the sum of two squares, False otherwise.
        """

        def is_square(x):
            """Check if x is a perfect square."""
            s = int(x**0.5)
            return s * s == x

        for i in range(int(number ** 0.5) + 1):
            j = number - i * i
            if is_square(j):
                return True
        return False


# Example usage:
if __name__ == "__main__":
    engine = ReasoningEngine()
    
    test_numbers = [2, 3, 4, 5, 6, 7]
    for num in test_numbers:
        result = engine.can_be_sum_of_squares(num)
        print(f"Can {num} be expressed as the sum of two squares? {result}")
```

This code snippet creates a `ReasoningEngine` class that includes a method to check if an integer can be expressed as the sum of two squares. It also provides example usage in the main block.