




from __future__ import annotations

lowercase__				:      Optional[Any]	   = {
    "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  ,		A  ,		A			)  ->   None:



          '''simple docstring'''



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







     def       lowerCAmelCase_    (     self			)  ->   None:



          '''simple docstring'''



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

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







     def       lowerCAmelCase_    (     self  ,		A			)  ->   str:



          '''simple docstring'''



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

          a     =				self.parent.get(A			)
          if target_vertex_parent is None:
               a     =				(
                   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__":
   lowercase__				:      List[str]	   = Graph(graph, "G")
   g.breath_first_search()
   print(g.shortest_path("D"))
   print(g.shortest_path("G"))
   print(g.shortest_path("Foo"))







def  SCREAMING_SNAKE_CASE							(       __UpperCamelCase)      ->					int:
     return 1 if digit in (0, 1) else (digit * factorial(digit - 1))

def  SCREAMING_SNAKE_CASE							(       __UpperCamelCase)      ->					bool:
     a     =				0
     a     =				number
     while duplicate > 0:
          a  ,				a     =				divmod(__UpperCamelCase		, 10)
          fact_sum += factorial(__UpperCamelCase)
     return fact_sum == number


if __name__ == "__main__":
   print("Program to check whether a number is a Krisnamurthy Number or not.")
   lowercase__				:      str	   = int(input("Enter number: ").strip())
   print(
       F'{number} is {"" if krishnamurthy(number) else "not "}a Krishnamurthy Number.'
   )

