





from __future__ import annotations

from collections import Counter
from random import random

class 		UpperCamelCase__			:



     '''simple docstring'''

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




           '''simple docstring'''


           SCREAMING_SNAKE_CASE		=						{}






     def     SCREAMING_SNAKE_CASE__  (							self						:   int						,lowerCamelCase__						:   str	)					->		None:




           '''simple docstring'''


           SCREAMING_SNAKE_CASE		=						{}






     def     SCREAMING_SNAKE_CASE__  (							self						:   Tuple						,lowerCamelCase__						:   str						,lowerCamelCase__						:   str						,lowerCamelCase__						:   float	)					->		None:




           '''simple docstring'''


           if nodea not in self.connections:
                 self.add_node(lowerCamelCase__	)
           if nodea not in self.connections:
                 self.add_node(lowerCamelCase__	)
           SCREAMING_SNAKE_CASE		=						probability






     def     SCREAMING_SNAKE_CASE__  (							self						:   Optional[Any]	)					->		list[str]:




           '''simple docstring'''


           return list(self.connections	)






     def     SCREAMING_SNAKE_CASE__  (							self						:   Optional[int]						,lowerCamelCase__						:   str	)					->		str:




           '''simple docstring'''


           SCREAMING_SNAKE_CASE		=						0
           SCREAMING_SNAKE_CASE		=						random()

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



def        __lowercase       (				_SCREAMING_SNAKE_CASE			,						_SCREAMING_SNAKE_CASE			,						_SCREAMING_SNAKE_CASE     )			->       dict[str, int]:


      '''simple docstring'''


      SCREAMING_SNAKE_CASE		=						MarkovChainGraphUndirectedUnweighted()

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

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

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

      return visited


if __name__ == "__main__":
      import doctest

      doctest.testmod()









def        __lowercase       (				_SCREAMING_SNAKE_CASE = 1			,						_SCREAMING_SNAKE_CASE = 10_00     )			->       int:


      '''simple docstring'''


      SCREAMING_SNAKE_CASE		=						1
      SCREAMING_SNAKE_CASE		=						0

      for divide_by_number in range(_SCREAMING_SNAKE_CASE			,						digit + 1     ):
            SCREAMING_SNAKE_CASE		=						[]
            SCREAMING_SNAKE_CASE		=						numerator
            for _ in range(1			,						digit + 1     ):
                  if now_divide in has_been_divided:
                        if longest_list_length < len(_SCREAMING_SNAKE_CASE     ):
                              SCREAMING_SNAKE_CASE		=						len(_SCREAMING_SNAKE_CASE     )
                              SCREAMING_SNAKE_CASE		=						divide_by_number
                  else:
                        has_been_divided.append(_SCREAMING_SNAKE_CASE     )
                        SCREAMING_SNAKE_CASE		=						now_divide * 10 % divide_by_number

      return the_digit


# Tests
if __name__ == "__main__":
      import doctest

      doctest.testmod()


