

from __future__ import annotations

from collections import Counter
from random import random

class     __snake_case    :
       """simple docstring"""







       def __init__(		self   )      ->							List[Any]:






              """simple docstring"""


              __snake_case       	=							{}


       def 			a		(		self      , _UpperCamelCase   )      ->							None:






              """simple docstring"""


              __snake_case       	=							{}


       def 			a		(		self      , _UpperCamelCase      , _UpperCamelCase      , _UpperCamelCase   )      ->							None:






              """simple docstring"""


              if nodea not in self.connections:
                     self.add_node(_UpperCamelCase   )
              if nodea not in self.connections:
                     self.add_node(_UpperCamelCase   )
              __snake_case       	=							probability


       def 			a		(		self   )      ->							list[str]:






              """simple docstring"""


              return list(self.connections   )






       def 			a		(		self      , _UpperCamelCase   )      ->							str:






              """simple docstring"""


              __snake_case       	=							0
              __snake_case       	=							random()

              for dest in self.connections[node]:
                     current_probability += self.connections[node][dest]
                     if current_probability > random_value:
                            return dest
              return ""







def 						lowerCamelCase__      ( __A    :str	,__A    :list[tuple[str, str, float]]	,__A    :int		):


       """simple docstring"""




       __snake_case       	=							MarkovChainGraphUndirectedUnweighted()

       for nodea, nodea, probability in transitions:
              graph.add_transition_probability(__A	,__A	,__A		)

       __snake_case       	=							Counter(graph.get_nodes()		)
       __snake_case       	=							start

       for _ in range(__A		):
              __snake_case       	=							graph.transition(__A		)
              visited[node] += 1

       return visited


if __name__ == "__main__":
    import doctest

    doctest.testmod()




from PIL import Image







def 						lowerCamelCase__      ( __A    :Image		):


       """simple docstring"""




       __snake_case	,    __snake_case       	=							image.size
       __snake_case       	=							0
       __snake_case       	=							image.load()
       for i in range(__A		):
              for j in range(__A		):
                     __snake_case       	=							pixels[j, i]
                     mean += pixel
       mean //= width * height

       for j in range(__A		):
              for i in range(__A		):
                     __snake_case       	=							2_5_5 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''')

