from __future__ import annotations

UpperCamelCase__											=   {
    '''A''': ['''B''', '''C''', '''E'''],
    '''B''': ['''A''', '''D''', '''E'''],
    '''C''': ['''A''', '''F''', '''G'''],
    '''D''': ['''B'''],
    '''E''': ['''A''', '''B''', '''D'''],
    '''F''': ['''C'''],
    '''G''': ['''C'''],
}





class 	A				:


   def __init__(self	:		Union[str, Any]			,    __UpperCAmelCase	:		Dict			,    __UpperCAmelCase	:		List[str]						)		->							None:
         """simple docstring"""



         UpperCAmelCase__								=    graph
         # mapping node to its parent in resulting breadth first tree
         UpperCAmelCase__								=    {}
         UpperCAmelCase__								=    source_vertex


   def      lowercase_ (self	:		Optional[Any]						)		->							None:
         """simple docstring"""



         UpperCAmelCase__								=    {self.source_vertex}
         UpperCAmelCase__								=    None
         UpperCAmelCase__								=    [self.source_vertex]  # first in first out queue

         while queue:
               UpperCAmelCase__								=    queue.pop(0						)
               for adjacent_vertex in self.graph[vertex]:
                     if adjacent_vertex not in visited:
                           visited.add(lowerCAmelCase__						)
                           UpperCAmelCase__								=    vertex
                           queue.append(lowerCAmelCase__						)





   def      lowercase_ (self	:		Tuple			,    __UpperCAmelCase	:		Optional[Any]						)		->							str:
         """simple docstring"""



         if target_vertex == self.source_vertex:
               return self.source_vertex

         UpperCAmelCase__								=    self.parent.get(lowerCAmelCase__						)
         if target_vertex_parent is None:
               UpperCAmelCase__								=    (
                   f"""No path from vertex: {self.source_vertex} to vertex: {target_vertex}"""
               )
               raise ValueError(lowerCAmelCase__						)

         return self.shortest_path(lowerCAmelCase__						) + f"""->{target_vertex}"""


if __name__ == "__main__":
      UpperCamelCase__											=   Graph(graph, 'G')
      g.breath_first_search()
      print(g.shortest_path('D'))
      print(g.shortest_path('G'))
      print(g.shortest_path('Foo'))










"""simple docstring"""




def  _SCREAMING_SNAKE_CASE						(      _lowercase		:       list[int]   )					->float:






	'''simple docstring'''






	if not nums:  # Makes sure that the list is not empty
		raise ValueError("List is empty"   )

	a :						Dict      =							sum(_lowercase   ) / len(_lowercase   )  # Calculate the average
	return sum(abs(x - average   ) for x in nums   ) / len(_lowercase   )


if __name__ == "__main__":
		import doctest

		doctest.testmod()


