





from __future__ import annotations

_lowerCAmelCase 				=     {
    """A""": ["""B""", """C""", """E"""],
    """B""": ["""A""", """D""", """E"""],
    """C""": ["""A""", """F""", """G"""],
    """D""": ["""B"""],
    """E""": ["""A""", """B""", """D"""],
    """F""": ["""C"""],
    """G""": ["""C"""],
}

class    _UpperCAmelCase							:
      def __init__(		self      ,       a__      ,       a__       ):
         A_     :				List[Any]			      =	graph
         # mapping node to its parent in resulting breadth first tree
         A_     :				dict[str, str | None]			      =	{}
         A_     :				Union[str, Any]			      =	source_vertex
      def 		_lowerCamelCase      (		self       ):
         A_     :				str			      =	{self.source_vertex}
         A_     :				Optional[int]			      =	None
         A_     :				List[Any]			      =	[self.source_vertex]  # first in first out queue

         while queue:
            A_     :				str			      =	queue.pop(0       )
            for adjacent_vertex in self.graph[vertex]:
               if adjacent_vertex not in visited:
                  visited.add(a__       )
                  A_     :				List[Any]			      =	vertex
                  queue.append(a__       )






      def 		_lowerCamelCase      (		self      ,       a__       ):
         if target_vertex == self.source_vertex:
            return self.source_vertex

         A_     :				Optional[int]			      =	self.parent.get(a__       )
         if target_vertex_parent is None:
            A_     :				Dict			      =	(
                F"""No path from vertex: {self.source_vertex} to vertex: {target_vertex}"""
            )
            raise ValueError(a__       )

         return self.shortest_path(a__       ) + F"""->{target_vertex}"""


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













_lowerCAmelCase 				=     """ABCDEFGHIJKLMNOPQRSTUVWXYZ"""



def     _lowerCAmelCase		(  ):
   '''simple docstring'''


   A_     :				Any			      =	input("""Enter message: """     )
   A_     :				Dict			      =	input("""Enter key [alphanumeric]: """     )
   A_     :				Dict			      =	input("""Encrypt/Decrypt [e/d]: """     )

   if mode.lower().startswith("""e"""     ):
      A_     :				Union[str, Any]			      =	"""encrypt"""
      A_     :				Optional[int]			      =	encrypt_message(_lowerCAmelCase  ,_lowerCAmelCase     )
   elif mode.lower().startswith("""d"""     ):
      A_     :				str			      =	"""decrypt"""
      A_     :				Dict			      =	decrypt_message(_lowerCAmelCase  ,_lowerCAmelCase     )

   print(f"""\n{mode.title()}ed message:"""     )
   print(_lowerCAmelCase     )



def     _lowerCAmelCase		(  _lowerCAmelCase  ,_lowerCAmelCase     ):
   '''simple docstring'''


   return translate_message(_lowerCAmelCase  ,_lowerCAmelCase  ,"""encrypt"""     )



def     _lowerCAmelCase		(  _lowerCAmelCase  ,_lowerCAmelCase     ):
   '''simple docstring'''


   return translate_message(_lowerCAmelCase  ,_lowerCAmelCase  ,"""decrypt"""     )



def     _lowerCAmelCase		(  _lowerCAmelCase  ,_lowerCAmelCase  ,_lowerCAmelCase     ):
   '''simple docstring'''


   A_     :				Dict			      =	[]
   A_     :				List[Any]			      =	0
   A_     :				int			      =	key.upper()

   for symbol in message:
      A_     :				Optional[int]			      =	LETTERS.find(symbol.upper()     )
      if num != -1:
         if mode == "encrypt":
            num += LETTERS.find(key[key_index]     )
         elif mode == "decrypt":
            num -= LETTERS.find(key[key_index]     )

         num %= len(_lowerCAmelCase     )

         if symbol.isupper():
            translated.append(LETTERS[num]     )
         elif symbol.islower():
            translated.append(LETTERS[num].lower()     )

         key_index += 1
         if key_index == len(_lowerCAmelCase     ):
            A_     :				Dict			      =	0
      else:
         translated.append(_lowerCAmelCase     )
   return "".join(_lowerCAmelCase     )


if __name__ == "__main__":
      main()






