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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 analyze(self, structure, n=0):
 """ Performs Voronoi analysis and returns the polyhedra around atom n in Schlaefli notation. Args: structure (Structure):
 structure to analyze n (int):
 index of the center atom in structure Returns: voronoi index of n: <c3,c4,c6,c6,c7,c8,c9,c10> where c_i denotes number of facets with i vertices. """

        center = structure[n]
        neighbors = structure.get_sites_in_sphere(center.coords, self.cutoff)
        neighbors = [i[0] for i in sorted(neighbors, key=lambda s: s[1])]
        qvoronoi_input = np.array([s.coords for s in neighbors])
        voro = Voronoi(qvoronoi_input, qhull_options=self.qhull_options)
        vor_index = np.array([0, 0, 0, 0, 0, 0, 0, 0])

        for key in voro.ridge_dict:
            if 0 in key:  # This means if the center atom is in key
                if -1 in key:  # This means if an infinity point is in key
                    raise ValueError("Cutoff too short.")
                else:
                    try:
                        vor_index[len(voro.ridge_dict[key]) - 3] += 1
                    except IndexError:
                        # If a facet has more than 10 edges, it's skipped here.
                        pass
        return vor_index