
"""simple docstring"""
from __future__ import annotations

from collections import Counter
from random import random


class  _lowerCAmelCase    :



							def __init__(   self )				->				List[Any]:
								_UpperCAmelCase			=    {}



							def    _a (   self			,    a_ )				->				None:
								_UpperCAmelCase			=    {}



							def    _a (   self			,    a_			,    a_			,    a_ )				->				None:



								if nodea not in self.connections:
									self.add_node(a_ )
								if nodea not in self.connections:
									self.add_node(a_ )
								_UpperCAmelCase			=    probability



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



							def    _a (   self			,    a_ )				->				str:
								_UpperCAmelCase			=    0
								_UpperCAmelCase			=    random()

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





def      __lowerCamelCase	(		UpperCamelCase__					,  UpperCamelCase__					,  UpperCamelCase__   ):


	"""simple docstring"""






	_UpperCAmelCase			=    MarkovChainGraphUndirectedUnweighted()

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

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

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

	return visited


if __name__ == "__main__":
			import doctest

			doctest.testmod()










from __future__ import annotations

from typing import Any

def lowercase    (  SCREAMING_SNAKE_CASE )			->							None:


			'''simple docstring'''







			create_state_space_tree(SCREAMING_SNAKE_CASE       ,    []       ,    0 )

def lowercase    (  SCREAMING_SNAKE_CASE       ,    SCREAMING_SNAKE_CASE       ,    SCREAMING_SNAKE_CASE )			->							None:


			'''simple docstring'''







			if index == len(SCREAMING_SNAKE_CASE ):
						print(SCREAMING_SNAKE_CASE )
						return

			create_state_space_tree(SCREAMING_SNAKE_CASE       ,    SCREAMING_SNAKE_CASE       ,    index + 1 )
			current_subsequence.append(sequence[index] )
			create_state_space_tree(SCREAMING_SNAKE_CASE       ,    SCREAMING_SNAKE_CASE       ,    index + 1 )
			current_subsequence.pop()


if __name__ == "__main__":
				SCREAMING_SNAKE_CASE__     :     list[Any]		    =       [3, 1, 2, 4]
				generate_all_subsequences(seq)

				seq.clear()
				seq.extend(["A", "B", "C"])
				generate_all_subsequences(seq)
