



'''simple docstring'''




import functools
from typing import Any



def 	a			( lowerCamelCase__						,      lowerCamelCase__    ):
			'''simple docstring'''





			if not isinstance(lowerCamelCase__						,      lowerCamelCase__    ) or len(lowerCamelCase__    ) == 0:
						raise ValueError("""the string should be not empty string"""    )

			if not isinstance(lowerCamelCase__						,      lowerCamelCase__    ) or not all(
			    isinstance(lowerCamelCase__						,      lowerCamelCase__    ) and len(lowerCamelCase__    ) > 0 for item in words    ):
						raise ValueError("""the words should be a list of non-empty strings"""    )

			# Build trie
			A_	:						dict[str, Any]	=     {}
			A_	:						Optional[int]	=     """WORD_KEEPER"""

			for word in words:
						A_	:						Optional[int]	=     trie
						for c in word:
									if c not in trie_node:
												A_	:						str	=     {}

									A_	:						Dict	=     trie_node[c]

						A_	:						Optional[int]	=     True

			A_	:						Any	=     len(lowerCamelCase__    )

			# Dynamic programming method
			@functools.cache
			def is_breakable(lowerCamelCase__    ) -> bool:
						if index == len_string:
									return True

						A_	:						Optional[Any]	=     trie
						for i in range(lowerCamelCase__						,      lowerCamelCase__    ):
									A_	:						Optional[Any]	=     trie_node.get(string[i]						,      lowerCamelCase__    )

									if trie_node is None:
												return False

									if trie_node.get(lowerCamelCase__						,      lowerCamelCase__    ) and is_breakable(i + 1    ):
												return True

						return False

			return is_breakable(0    )


if __name__ == "__main__":
						import doctest

						doctest.testmod()




'''simple docstring'''




class 	_lowerCAmelCase							(			__UpperCAmelCase ):
	pass







class 	_lowerCAmelCase							(			__UpperCAmelCase ):
	pass







class 	_lowerCAmelCase							:


	def __init__(self							):
				A_	:						List[Any]	=     [
				    [],
				    [],
				    [],
				]


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


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


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







class 	_lowerCAmelCase							:


	def __init__(self							):
				A_	:						List[str]	=     []


	def     _a	(self       ,      lowercase							):
				if len(self.queue							) == 100:
							raise OverFlowError("""Maximum queue size is 100"""							)
				self.queue.append(lowercase							)


	def     _a	(self							):
				if not self.queue:
							raise UnderFlowError("""The queue is empty"""							)
				else:
							A_	:						List[Any]	=     min(self.queue							)
							self.queue.remove(lowercase							)
							return data


	def __str__(self							):
				return str(self.queue							)






def 	a			( ):
			'''simple docstring'''





			A_	:						Optional[int]	=     FixedPriorityQueue()
			fpq.enqueue(0						,      10    )
			fpq.enqueue(1						,      70    )
			fpq.enqueue(0						,      1_00    )
			fpq.enqueue(2						,      1    )
			fpq.enqueue(2						,      5    )
			fpq.enqueue(1						,      7    )
			fpq.enqueue(2						,      4    )
			fpq.enqueue(1						,      64    )
			fpq.enqueue(0						,      1_28    )
			print(lowerCamelCase__    )
			print(fpq.dequeue()    )
			print(fpq.dequeue()    )
			print(fpq.dequeue()    )
			print(fpq.dequeue()    )
			print(fpq.dequeue()    )
			print(lowerCamelCase__    )
			print(fpq.dequeue()    )
			print(fpq.dequeue()    )
			print(fpq.dequeue()    )
			print(fpq.dequeue()    )
			print(fpq.dequeue()    )



def 	a			( ):
			'''simple docstring'''





			A_	:						int	=     ElementPriorityQueue()
			epq.enqueue(10    )
			epq.enqueue(70    )
			epq.enqueue(1_00    )
			epq.enqueue(1    )
			epq.enqueue(5    )
			epq.enqueue(7    )
			epq.enqueue(4    )
			epq.enqueue(64    )
			epq.enqueue(1_28    )
			print(lowerCamelCase__    )
			print(epq.dequeue()    )
			print(epq.dequeue()    )
			print(epq.dequeue()    )
			print(epq.dequeue()    )
			print(epq.dequeue()    )
			print(lowerCamelCase__    )
			print(epq.dequeue()    )
			print(epq.dequeue()    )
			print(epq.dequeue()    )
			print(epq.dequeue()    )
			print(epq.dequeue()    )


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