




"""simple docstring"""




from __future__ import annotations

from collections import Counter
from random import random

class   UpperCAmelCase_    :
		def __init__(						self       )						->       Tuple:
					__lowercase			:  Tuple								=       {}
		def 	_lowerCamelCase							(						self				,						UpperCamelCase_       )						->       None:
					__lowercase			:  Dict								=       {}
		def 	_lowerCamelCase							(						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			:  Optional[int]								=       probability
		def 	_lowerCamelCase							(						self       )						->       list[str]:
					return list(self.connections       )
		def 	_lowerCamelCase							(						self				,						UpperCamelCase_       )						->       str:
					__lowercase			:  int								=       0
					__lowercase			:  Dict								=       random()

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







def      __UpperCAmelCase     ( __UpperCamelCase	,				__UpperCamelCase	,				__UpperCamelCase	):
			__lowercase			:  str								=       MarkovChainGraphUndirectedUnweighted()

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

			__lowercase			:  List[str]								=       Counter(graph.get_nodes()	)
			__lowercase			:  Tuple								=       start

			for _ in range(__UpperCamelCase	):
						__lowercase			:  Any								=       graph.transition(__UpperCamelCase	)
						visited[node] += 1

			return visited


if __name__ == "__main__":
			import doctest

			doctest.testmod()










'''simple docstring'''


def 						__a(SCREAMING_SNAKE_CASE_	:       int		,							SCREAMING_SNAKE_CASE_	:       int     ):



    '''simple docstring'''





    return numa ^ numa < 0


if __name__ == "__main__":
       import doctest

       doctest.testmod()


