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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, fct, input_):
 """Execute the given TensorFlow function."""

    # TF 2.0
    if tf.executing_eagerly():
      return fct(input_).numpy()
    # TF 1.0
    else:
      # Should compile the function if this is the first time encountered
      if not isinstance(input_, np.ndarray):
        input_ = np.array(input_)
      run_args = RunArgs(fct=fct, input=input_)
      signature = self._build_signature(run_args)
      if signature not in self._graph_run_cache:
        graph_run = self._build_graph_run(run_args)
        self._graph_run_cache[signature] = graph_run
      else:
        graph_run = self._graph_run_cache[signature]

      # Then execute the cached graph
      return graph_run.session.run(
          graph_run.output,
          feed_dict={graph_run.placeholder: input_},
      )