



'''simple docstring'''





from __future__ import annotations

from collections import Counter
from random import random


class 				snake_case :



       def __init__(				self      )  ->							Any:
           lowercase__		       =						{}



       def 							_a      (				self     ,UpperCAmelCase_      )  ->							None:
           lowercase__		       =						{}



       def 							_a      (				self     ,UpperCAmelCase_     ,UpperCAmelCase_     ,UpperCAmelCase_      )  ->							None:
           if nodea not in self.connections:
               self.add_node(UpperCAmelCase_      )
           if nodea not in self.connections:
               self.add_node(UpperCAmelCase_      )
           lowercase__		       =						probability



       def 							_a      (				self      )  ->							list[str]:
           return list(self.connections      )







       def 							_a      (				self     ,UpperCAmelCase_      )  ->							str:
           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        lowerCamelCase  (				_snake_case  :						str     ,_snake_case  :						list[tuple[str, str, float]]     ,_snake_case  :						int       ):





    '''simple docstring'''


    lowercase__		       =						MarkovChainGraphUndirectedUnweighted()

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

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

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

    return visited


if __name__ == "__main__":
      import doctest

      doctest.testmod()









'''simple docstring'''





def        lowerCamelCase  (				_snake_case  :						int     ,_snake_case  :						float     ,_snake_case  :						float       ):





    '''simple docstring'''


    return round(float(moles / volume       ) * nfactor       )




def        lowerCamelCase  (				_snake_case  :						float     ,_snake_case  :						float     ,_snake_case  :						float       ):





    '''simple docstring'''


    return round(float((moles * 0.0_821 * temperature) / (volume)       )       )




def        lowerCamelCase  (				_snake_case  :						float     ,_snake_case  :						float     ,_snake_case  :						float       ):





    '''simple docstring'''


    return round(float((moles * 0.0_821 * temperature) / (pressure)       )       )




def        lowerCamelCase  (				_snake_case  :						float     ,_snake_case  :						float     ,_snake_case  :						float       ):





    '''simple docstring'''


    return round(float((pressure * volume) / (0.0_821 * moles)       )       )


if __name__ == "__main__":
 import doctest

 doctest.testmod()




