'''simple docstring'''





from __future__ import annotations

SCREAMING_SNAKE_CASE_:     List[str]  ={
    '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    :    str   ,			__a    :    dict[str, list[str]]   ,			__a    :    str ):
         UpperCAmelCase_           =   graph
         # mapping node to its parent in resulting breadth first tree
         UpperCAmelCase_           =   {}
         UpperCAmelCase_           =   source_vertex



    def 					_lowercase						(self    :    Dict ):
         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(__a )
                        UpperCAmelCase_           =   vertex
                        queue.append(__a )






    def 					_lowercase						(self    :    Optional[int]   ,			__a    :    str ):
         if target_vertex == self.source_vertex:
              return self.source_vertex

         UpperCAmelCase_           =   self.parent.get(__a )
         if target_vertex_parent is None:
              UpperCAmelCase_           =   (
                  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__":
    SCREAMING_SNAKE_CASE_:     List[Any]  =Graph(graph, 'G')
    g.breath_first_search()
    print(g.shortest_path('D'))
    print(g.shortest_path('G'))
    print(g.shortest_path('Foo'))





'''simple docstring'''





from __future__ import annotations





def 	lowerCAmelCase_				(					snake_case_       : list					,    snake_case_       : int | None = None					,    snake_case_       : int | None = None			)    ->      None:


     '''simple docstring'''




     if start is None:
          UpperCAmelCase_           =   0

     if end is None:
          UpperCAmelCase_           =   len(snake_case_			) - 1

     if start >= end:
          return

     UpperCAmelCase_           =   (start + end) // 2

     slowsort(snake_case_					,    snake_case_					,    snake_case_			)
     slowsort(snake_case_					,    mid + 1					,    snake_case_			)

     if sequence[end] < sequence[mid]:
          UpperCAmelCase_    , UpperCAmelCase_           =   sequence[mid], sequence[end]

     slowsort(snake_case_					,    snake_case_					,    end - 1			)


if __name__ == "__main__":
    from doctest import testmod

    testmod()




