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Solve the following problem using Python, implementing the functions described below, one line at a time
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Description:
 def _run( self, circuit: circuits.Circuit, param_resolver: study.ParamResolver, repetitions: int ) -> Dict[str, np.ndarray]: """Run a simulation, mimicking quantum hardware. Args: circuit: The circuit to simulate. param_resolver: Parameters to run with the program. repetitions: Number of times to repeat the run. Returns: A dictionary from measurement gate key to measurement results. Measurement results are stored in a 2-dimensional numpy array, the first dimension corresponding to the repetition and the second to the actual boolean measurement results (ordered by the qubits being measured.) """

        raise NotImplementedError()