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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 infer_type(self, in_type):
 """infer_type interface. override to create new operators Parameters in_type : list of np.dtype list of argument types in the same order as declared in list_arguments. Returns ------- in_type : list list of argument types. Can be modified from in_type. out_type : list list of output types calculated from in_type, in the same order as declared in list_outputs. aux_type : Optional, list list of aux types calculated from in_type, in the same order as declared in list_auxiliary_states. """

        return in_type, [in_type[0]]*len(self.list_outputs()), \
            [in_type[0]]*len(self.list_auxiliary_states())