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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 generate_synthetic_observation_trajectories(self, ntrajectories, length, initial_Pi=None):
 """Generate a number of synthetic realization of observables from this model. Parameters ntrajectories : int The number of trajectories to be generated. length : int Length of synthetic state trajectory to be generated. initial_Pi : np.array of shape (nstates,), optional, default=None The initial probability distribution, if samples are not to be taken from equilibrium. Returns ------- O : list of np.array of shape (nstates,) of dtype=np.float32 The trajectories of observations S : list of np.array of shape (nstates,) of dtype=np.int32 The trajectories of hidden states Examples -------- Generate a number of synthetic trajectories. Use an initial nonequilibrium distribution. """

        O = list()  # observations
        S = list()  # state trajectories
        for trajectory_index in range(ntrajectories):
            o_t, s_t = self.generate_synthetic_observation_trajectory(length=length, initial_Pi=initial_Pi)
            O.append(o_t)
            S.append(s_t)

        return O, S