


'''simple docstring'''

from __future__ import annotations

from collections import Counter
from random import random
class     __lowerCAmelCase		:





      '''simple docstring'''






      def __init__(self       :       List[str]					):

             '''simple docstring'''







             lowercase__      =					{}



      def  UpperCamelCase__						(self       :       List[str]  ,		UpperCamelCase       :       str					):

             '''simple docstring'''







             lowercase__      =					{}



      def  UpperCamelCase__						(self       :       Union[str, Any]  ,		UpperCamelCase       :       str  ,		UpperCamelCase       :       str  ,		UpperCamelCase       :       float					):

             '''simple docstring'''







             if nodea not in self.connections:
                    self.add_node(UpperCamelCase					)
             if nodea not in self.connections:
                    self.add_node(UpperCamelCase					)
             lowercase__      =					probability



      def  UpperCamelCase__						(self       :       List[str]					):

             '''simple docstring'''







             return list(self.connections					)






      def  UpperCamelCase__						(self       :       str  ,		UpperCamelCase       :       str					):

             '''simple docstring'''







             lowercase__      =					0
             lowercase__      =					random()

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






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






       """simple docstring"""







       lowercase__      =					MarkovChainGraphUndirectedUnweighted()

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

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

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

       return visited


if __name__ == "__main__":
 import doctest

 doctest.testmod()








'''simple docstring'''

def _SCREAMING_SNAKE_CASE (A			)			->			bool:






       """simple docstring"""







       if not isinstance(A    ,					A			):
              raise ValueError('''Input series is not valid, valid series - [2, 4, 6]'''			)
       if len(A			) == 0:
              raise ValueError('''Input list must be a non empty list'''			)
       if len(A			) == 1:
              return True
       lowercase__      =					series[1] - series[0]
       for index in range(len(A			) - 1			):
              if series[index + 1] - series[index] != common_diff:
                     return False
       return True

def _SCREAMING_SNAKE_CASE (A			)			->			float:






       """simple docstring"""







       if not isinstance(A    ,					A			):
              raise ValueError('''Input series is not valid, valid series - [2, 4, 6]'''			)
       if len(A			) == 0:
              raise ValueError('''Input list must be a non empty list'''			)
       lowercase__      =					0
       for val in series:
              answer += val
       return answer / len(A			)


if __name__ == "__main__":
 import doctest

 doctest.testmod()




