



'''simple docstring'''





from __future__ import annotations

from typing import Generic, TypeVar

__a          =		TypeVar("T")







class     UpperCAmelCase_       (       Generic[T]	):
    """simple docstring"""







    def __init__(    self					:     List[str] ,     snake_case_					:     Any						):
          snake_case__  :    Union[str, Any]    						=      data
          snake_case__  :    str    						=      self
          snake_case__  :    List[str]    						=      0







class     UpperCAmelCase_       (       Generic[T]	):
    """simple docstring"""







    def __init__(    self					:     Dict						):
          snake_case__  :    List[str]    						=      {}




    def lowerCamelCase       (    self					:     Any ,     snake_case_					:     List[Any]						):
          snake_case__  :    List[str]    						=      DisjointSetTreeNode(_A						)




    def lowerCamelCase       (    self					:     str ,     snake_case_					:     Tuple						):
          snake_case__  :    Dict    						=      self.map[data]
          if elem_ref != elem_ref.parent:
                snake_case__  :    List[str]    						=      self.find_set(elem_ref.parent.data						)
          return elem_ref.parent




    def lowerCamelCase       (    self					:     Tuple ,     snake_case_					:     Any ,     snake_case_					:     Tuple						):



          if nodea.rank > nodea.rank:
                snake_case__  :    List[Any]    						=      nodea
          else:
                snake_case__  :    Dict    						=      nodea
                if nodea.rank == nodea.rank:
                      nodea.rank += 1




    def lowerCamelCase       (    self					:     str ,     snake_case_					:     List[Any] ,     snake_case_					:     Any						):
          self.link(self.find_set(_A						) ,     self.find_set(_A						)						)







class     UpperCAmelCase_       (       Generic[T]	):
    """simple docstring"""







    def __init__(    self					:     int						):
          snake_case__  :    List[str]    						=      {}




    def lowerCamelCase       (    self					:     Tuple ,     snake_case_					:     Optional[int]						):



          if node not in self.connections:
                snake_case__  :    str    						=      {}




    def lowerCamelCase       (    self					:     List[str] ,     snake_case_					:     Optional[Any] ,     snake_case_					:     Dict ,     snake_case_					:     Union[str, Any]						):
          self.add_node(_A						)
          self.add_node(_A						)
          snake_case__  :    Union[str, Any]    						=      weight
          snake_case__  :    str    						=      weight




    def lowerCamelCase       (    self					:     Union[str, Any]						):
          snake_case__  :    Any    						=      []
          snake_case__  :    Union[str, Any]    						=      set()
          for start in self.connections:
                for end in self.connections[start]:
                      if (start, end) not in seen:
                            seen.add((end, start)						)
                            edges.append((start, end, self.connections[start][end])						)
          edges.sort(key=lambda snake_case_						: x[2]						)

          # creating the disjoint set
          snake_case__  :    int    						=      DisjointSetTree[T]()
          for node in self.connections:
                disjoint_set.make_set(_A						)

          # MST generation
          snake_case__  :    Tuple    						=      0
          snake_case__  :    Optional[Any]    						=      0
          snake_case__  :    Optional[Any]    						=      GraphUndirectedWeighted[T]()
          while num_edges < len(self.connections						) - 1:
                snake_case__						,				snake_case__						,				snake_case__  :    Any    						=      edges[index]
                index += 1
                snake_case__  :    Dict    						=      disjoint_set.find_set(_A						)
                snake_case__  :    int    						=      disjoint_set.find_set(_A						)
                if parent_u != parent_v:
                      num_edges += 1
                      graph.add_edge(_A ,     _A ,     _A						)
                      disjoint_set.union(_A ,     _A						)
          return graph






class 			a__    (					snake_case__      ):
						pass






class 			a__    (					snake_case__      ):
						pass






class 			a__    :






						def __init__(   self			):




											"""simple docstring"""



											__lowerCAmelCase				   =       [
											    [],
											    [],
											    [],
											]






						def 				__SCREAMING_SNAKE_CASE(   self		,			_A		,			_A			):




											"""simple docstring"""



											try:
																if len(self.queues[priority]			) >= 1_0_0:
																					raise OverflowError("Maximum queue size is 100"			)
																self.queues[priority].append(_A			)
											except IndexError:
																raise ValueError("Valid priorities are 0, 1, and 2"			)






						def 				__SCREAMING_SNAKE_CASE(   self			):




											"""simple docstring"""



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






						def __str__(   self			):




											"""simple docstring"""



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






class 			a__    :






						def __init__(   self			):




											"""simple docstring"""



											__lowerCAmelCase				   =       []






						def 				__SCREAMING_SNAKE_CASE(   self		,			_A			):




											"""simple docstring"""



											if len(self.queue			) == 1_0_0:
																raise OverFlowError("Maximum queue size is 100"			)
											self.queue.append(_A			)






						def 				__SCREAMING_SNAKE_CASE(   self			):




											"""simple docstring"""



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






						def __str__(   self			):




											"""simple docstring"""



											return str(self.queue			)







def 	_a      (						):
					__lowerCAmelCase				   =       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 	_a      (						):
					__lowerCAmelCase				   =       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()




