
"""simple docstring"""







class 							__magic_name__     (		_lowerCAmelCase   ):
					pass







class 							__magic_name__     (		_lowerCAmelCase   ):
					pass







class 							__magic_name__     :





					def __init__(				self   :							int    ):
												__snake_case     			=       [
												    [],
												    [],
												    [],
												]





					def 							lowerCAmelCase      (				self   :							Dict							,						snake_case_   :							int							,						snake_case_   :							int    ):







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





					def 							lowerCAmelCase      (				self   :							Union[str, Any]    ):







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





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







class 							__magic_name__     :





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





					def 							lowerCAmelCase      (				self   :							List[str]							,						snake_case_   :							int    ):







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





					def 							lowerCAmelCase      (				self   :							Any    ):







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





					def __str__(				self   :							Union[str, Any]    ):
												return str(self.queue    )




def   __UpperCamelCase   (					)  ->     List[Any]:







							"""simple docstring"""


							__snake_case     			=       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(SCREAMING_SNAKE_CASE )
							print(fpq.dequeue() )
							print(fpq.dequeue() )
							print(fpq.dequeue() )
							print(fpq.dequeue() )
							print(fpq.dequeue() )
							print(SCREAMING_SNAKE_CASE )
							print(fpq.dequeue() )
							print(fpq.dequeue() )
							print(fpq.dequeue() )
							print(fpq.dequeue() )
							print(fpq.dequeue() )
def   __UpperCamelCase   (					)  ->     Dict:







							"""simple docstring"""


							__snake_case     			=       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(SCREAMING_SNAKE_CASE )
							print(epq.dequeue() )
							print(epq.dequeue() )
							print(epq.dequeue() )
							print(epq.dequeue() )
							print(epq.dequeue() )
							print(SCREAMING_SNAKE_CASE )
							print(epq.dequeue() )
							print(epq.dequeue() )
							print(epq.dequeue() )
							print(epq.dequeue() )
							print(epq.dequeue() )


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


"""simple docstring"""







from __future__ import annotations

_SCREAMING_SNAKE_CASE	       =      {
    """A""": ["""B""", """C""", """E"""],
    """B""": ["""A""", """D""", """E"""],
    """C""": ["""A""", """F""", """G"""],
    """D""": ["""B"""],
    """E""": ["""A""", """B""", """D"""],
    """F""": ["""C"""],
    """G""": ["""C"""],
}







class 							__magic_name__     :





					def __init__(				self   :							Any							,						snake_case_   :							dict[str, list[str]]							,						snake_case_   :							str    ):
												__snake_case     			=       graph
												# mapping node to its parent in resulting breadth first tree
												__snake_case     			=       {}
												__snake_case     			=       source_vertex





					def 							lowerCAmelCase      (				self   :							Union[str, Any]    ):
												__snake_case     			=       {self.source_vertex}
												__snake_case     			=       None
												__snake_case     			=       [self.source_vertex]  # first in first out queue

												while queue:
																			__snake_case     			=       queue.pop(0    )
																			for adjacent_vertex in self.graph[vertex]:
																										if adjacent_vertex not in visited:
																																	visited.add(snake_case_    )
																																	__snake_case     			=       vertex
																																	queue.append(snake_case_    )





					def 							lowerCAmelCase      (				self   :							Dict							,						snake_case_   :							str    ):
												if target_vertex == self.source_vertex:
																			return self.source_vertex

												__snake_case     			=       self.parent.get(snake_case_    )
												if target_vertex_parent is None:
																			__snake_case     			=       (
																			    F'''No path from vertex: {self.source_vertex} to vertex: {target_vertex}'''
																			)
																			raise ValueError(snake_case_    )

												return self.shortest_path(snake_case_    ) + F'''->{target_vertex}'''


if __name__ == "__main__":
		_SCREAMING_SNAKE_CASE	       =      Graph(graph, """G""")
		g.breath_first_search()
		print(g.shortest_path("""D"""))
		print(g.shortest_path("""G"""))
		print(g.shortest_path("""Foo"""))
