





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 			lowerCAmelCase__:






       '''simple docstring'''


       def __init__(      self    ,						__lowerCamelCase    ,						__lowerCamelCase							)			->     None:
            _SCREAMING_SNAKE_CASE       :	Dict						    =							graph
            # mapping node to its parent in resulting breadth first tree
            _SCREAMING_SNAKE_CASE       :	dict[str, str | None]						    =							{}
            _SCREAMING_SNAKE_CASE       :	List[Any]						    =							source_vertex




       def     UpperCamelCase_			(      self							)			->     None:
            _SCREAMING_SNAKE_CASE       :	List[Any]						    =							{self.source_vertex}
            _SCREAMING_SNAKE_CASE       :	List[Any]						    =							None
            _SCREAMING_SNAKE_CASE       :	List[str]						    =							[self.source_vertex]  # first in first out queue

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







       def     UpperCamelCase_			(      self    ,						__lowerCamelCase							)			->     str:







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

            _SCREAMING_SNAKE_CASE       :	int						    =							self.parent.get(lowerCamelCase__							)
            if target_vertex_parent is None:
                 _SCREAMING_SNAKE_CASE       :	Tuple						    =							(
                     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'))






from PIL import Image






def     lowerCamelCase__			(__lowerCamelCase	):
     _SCREAMING_SNAKE_CASE    ,			_SCREAMING_SNAKE_CASE       :	List[str]						    =							image.size
     _SCREAMING_SNAKE_CASE       :	Tuple						    =							0
     _SCREAMING_SNAKE_CASE       :	Dict						    =							image.load()
     for i in range(__lowerCamelCase	):
          for j in range(__lowerCamelCase	):
               _SCREAMING_SNAKE_CASE       :	List[Any]						    =							pixels[j, i]
               mean += pixel
     mean //= width * height

     for j in range(__lowerCamelCase	):
          for i in range(__lowerCamelCase	):
               _SCREAMING_SNAKE_CASE       :	int						    =							255 if pixels[i, j] > mean else 0
     return image


if __name__ == "__main__":
       UpperCamelCase__      =mean_threshold(Image.open('path_to_image').convert('L'))
       image.save('output_image_path')