"""Create fallback_executor
Generated by Phi-Octopus Eden
2025-11-08 11:09:10.367224
"""

```python
class FallbackExecutor:
    """
    A class that provides a mechanism for executing tasks with fallbacks in case of errors.

    Args:
        primary_function: The main function to be executed.
        secondary_functions: List of functions to be tried as fallbacks if the primary function fails.
        error_handling_func: Optional. A function to handle specific exceptions during execution.

    Attributes:
        _primary_function: The main function to execute.
        _secondary_functions: List of fallback functions.
        _error_handling_func: Function for handling exceptions, if provided.
    """

    def __init__(self, primary_function, secondary_functions, error_handling_func=None):
        self._primary_function = primary_function
        self._secondary_functions = secondary_functions
        self._error_handling_func = error_handling_func

    def execute(self, *args, **kwargs) -> bool:
        """
        Execute the primary function with provided arguments. If it fails, try fallback functions.

        Args:
            *args: Positional arguments to pass to the functions.
            **kwargs: Keyword arguments to pass to the functions.

        Returns:
            True if any of the functions execute successfully, False otherwise.
        """
        try:
            return self._primary_function(*args, **kwargs)
        except Exception as e:
            if self._error_handling_func is not None:
                self._error_handling_func(e)

        for fallback in self._secondary_functions:
            try:
                result = fallback(*args, **kwargs)
                return True
            except Exception as e:
                if self._error_handling_func is not None:
                    self._error_handling_func(e)

        return False

# Example usage:
def primary_func(x: int) -> bool:
    """A primary function that checks if a number is even."""
    return x % 2 == 0

def fallback1(x: int) -> bool:
    """First fallback, subtracts one and checks again."""
    return (x - 1) % 2 == 0

def fallback2(x: int) -> bool:
    """Second fallback, adds two and checks again."""
    return (x + 2) % 2 == 0

def handle_error(e: Exception):
    """A simple error handler that prints the exception message."""
    print(f"An error occurred: {e}")

# Creating a FallbackExecutor instance
fallback_executor = FallbackExecutor(
    primary_function=primary_func,
    secondary_functions=[fallback1, fallback2],
    error_handling_func=handle_error
)

# Example execution with various inputs
inputs = [4, 5, 6]

for x in inputs:
    print(f"Testing {x}: {fallback_executor.execute(x=x)}")
```