


"""simple docstring"""
def 		lowercase							(     _snake_case						:      dict     )     ->set:
	"""simple docstring"""





	__snake_case	:						int						=				set()
	# edges = list of graph's edges
	__snake_case	:						int						=				get_edges(_snake_case     )

	# While there are still elements in edges list, take an arbitrary edge
	# (from_node, to_node) and add his extremity to chosen_vertices and then
	# remove all arcs adjacent to the from_node and to_node
	while edges:
		__snake_case	,							__snake_case	:						str						=				edges.pop()
		chosen_vertices.add(_snake_case     )
		chosen_vertices.add(_snake_case     )
		for edge in edges.copy():
			if from_node in edge or to_node in edge:
				edges.discard(_snake_case     )
	return chosen_vertices






def 		lowercase							(     _snake_case						:      dict     )     ->set:
	"""simple docstring"""





	__snake_case	:						Optional[Any]						=				set()
	for from_node, to_nodes in graph.items():
		for to_node in to_nodes:
			edges.add((from_node, to_node)     )
	return edges


if __name__ == "__main__":
			import doctest

			doctest.testmod()

			# graph = {0: [1, 3], 1: [0, 3], 2: [0, 3, 4], 3: [0, 1, 2], 4: [2, 3]}
			# print(f"Matching vertex cover:\n{matching_min_vertex_cover(graph)}")






from numpy import exp, pi, sqrt



def 	__SCREAMING_SNAKE_CASE  (					__UpperCamelCase    :       Any ,     __UpperCamelCase    :       float = 0.0 ,     __UpperCamelCase    :       float = 1.0	)							->					int:







  """simple docstring"""





  return 1 / sqrt(2 * pi * sigma**2	) * exp(-((x - mu) ** 2) / (2 * sigma**2)	)


if __name__ == "__main__":
   import doctest

   doctest.testmod()
