def __init__(self, num_vertices):
logger.debug('TreeStructure with %d vertices', num_vertices)
self._num_vertices = num_vertices
self._num_edges = num_vertices - 1
self.set_edges([(v, v + 1) for v in range(num_vertices - 1)])
self._complete_grid = None # Lazily constructed.
self._vertices = np.arange(num_vertices, dtype=np.int32)
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