





from __future__ import annotations

from collections import Counter
from random import random


class   A			:
			'''simple docstring'''




			def __init__(			self   :    str   )	->	str:







					"""simple docstring"""






					A__        =   {}






			def    a_       (			self   :    str							,	__lowerCAmelCase   :    str   )	->	None:







					"""simple docstring"""






					A__        =   {}






			def    a_       (			self   :    Dict							,	__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   )
					A__        =   probability






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







					"""simple docstring"""






					return list(self.connections   )







			def    a_       (			self   :    Optional[Any]							,	__lowerCAmelCase   :    str   )	->	str:







					"""simple docstring"""






					A__        =   0
					A__        =   random()

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







def    __lowerCamelCase					(							__a   :str    ,     __a   :list[tuple[str, str, float]]    ,     __a   :int    )		->				dict[str, int]:






		"""simple docstring"""

		A__        =   MarkovChainGraphUndirectedUnweighted()

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

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

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

		return visited


if __name__ == "__main__":
					import doctest

					doctest.testmod()










class   A			(SCREAMING_SNAKE_CASE    ):
			'''simple docstring'''




			pass


class   A			(SCREAMING_SNAKE_CASE    ):
			'''simple docstring'''




			pass


class   A			:
			'''simple docstring'''




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







					"""simple docstring"""






					A__        =   [
					    [],
					    [],
					    [],
					]






			def    a_       (			self   :    Dict							,	__lowerCAmelCase   :    int							,	__lowerCAmelCase   :    int   )	->	None:







					"""simple docstring"""






					try:
							if len(self.queues[priority]   ) >= 1_00:
									raise OverflowError("""Maximum queue size is 100"""   )
							self.queues[priority].append(__lowerCAmelCase   )
					except IndexError:
							raise ValueError("""Valid priorities are 0, 1, and 2"""   )






			def    a_       (			self   :    Optional[Any]   )	->	int:







					"""simple docstring"""






					for queue in self.queues:
							if queue:
									return queue.pop(0   )
					raise UnderFlowError("""All queues are empty"""   )







			def __str__(			self   :    Tuple   )	->	str:







					"""simple docstring"""






					return "\n".join(f'Priority {i}: {q}' for i, q in enumerate(self.queues   )   )


class   A			:
			'''simple docstring'''




			def __init__(			self   :    int   )	->	str:







					"""simple docstring"""






					A__        =   []






			def    a_       (			self   :    int							,	__lowerCAmelCase   :    int   )	->	None:







					"""simple docstring"""






					if len(self.queue   ) == 1_00:
							raise OverFlowError("""Maximum queue size is 100"""   )
					self.queue.append(__lowerCAmelCase   )






			def    a_       (			self   :    List[str]   )	->	int:







					"""simple docstring"""






					if not self.queue:
							raise UnderFlowError("""The queue is empty"""   )
					else:
							A__        =   min(self.queue   )
							self.queue.remove(__lowerCAmelCase   )
							return data







			def __str__(			self   :    List[Any]   )	->	str:







					"""simple docstring"""






					return str(self.queue   )







def    __lowerCamelCase					(							)		->				Optional[Any]:






		"""simple docstring"""

		A__        =   FixedPriorityQueue()
		fpq.enqueue(0    ,     1_0    )
		fpq.enqueue(1    ,     7_0    )
		fpq.enqueue(0    ,     1_0_0    )
		fpq.enqueue(2    ,     1    )
		fpq.enqueue(2    ,     5    )
		fpq.enqueue(1    ,     7    )
		fpq.enqueue(2    ,     4    )
		fpq.enqueue(1    ,     6_4    )
		fpq.enqueue(0    ,     1_2_8    )
		print(__a    )
		print(fpq.dequeue()    )
		print(fpq.dequeue()    )
		print(fpq.dequeue()    )
		print(fpq.dequeue()    )
		print(fpq.dequeue()    )
		print(__a    )
		print(fpq.dequeue()    )
		print(fpq.dequeue()    )
		print(fpq.dequeue()    )
		print(fpq.dequeue()    )
		print(fpq.dequeue()    )







def    __lowerCamelCase					(							)		->				int:






		"""simple docstring"""

		A__        =   ElementPriorityQueue()
		epq.enqueue(1_0    )
		epq.enqueue(7_0    )
		epq.enqueue(1_0_0    )
		epq.enqueue(1    )
		epq.enqueue(5    )
		epq.enqueue(7    )
		epq.enqueue(4    )
		epq.enqueue(6_4    )
		epq.enqueue(1_2_8    )
		print(__a    )
		print(epq.dequeue()    )
		print(epq.dequeue()    )
		print(epq.dequeue()    )
		print(epq.dequeue()    )
		print(epq.dequeue()    )
		print(__a    )
		print(epq.dequeue()    )
		print(epq.dequeue()    )
		print(epq.dequeue()    )
		print(epq.dequeue()    )
		print(epq.dequeue()    )


if __name__ == "__main__":
					fixed_priority_queue()
					element_priority_queue()



