





from __future__ import annotations
class     SCREAMING_SNAKE_CASE       :


   def __init__(   self      :    List[str]      ,					a      :    int	)->       None:





     """simple docstring"""







     lowercase__           =  order

     # a_{0} ... a_{k}
     lowercase__           =  [1.0] + [0.0] * order
     # b_{0} ... b_{k}
     lowercase__           =  [1.0] + [0.0] * order

     # x[n-1] ... x[n-k]
     lowercase__           =  [0.0] * self.order
     # y[n-1] ... y[n-k]
     lowercase__           =  [0.0] * self.order


   def 	SCREAMING_SNAKE_CASE_							(   self      :    Any      ,					a      :    list[float]      ,					a      :    list[float]	)->       None:





     """simple docstring"""







     if len(a	) < self.order:
       lowercase__           =  [1.0, *a_coeffs]

     if len(a	) != self.order + 1:
       lowercase__           =  (
           f"""Expected a_coeffs to have {self.order + 1} elements """
           f"""for {self.order}-order filter, got {len(a	)}"""
       )
       raise ValueError(a	)

     if len(a	) != self.order + 1:
       lowercase__           =  (
           f"""Expected b_coeffs to have {self.order + 1} elements """
           f"""for {self.order}-order filter, got {len(a	)}"""
       )
       raise ValueError(a	)

     lowercase__           =  a_coeffs
     lowercase__           =  b_coeffs


   def 	SCREAMING_SNAKE_CASE_							(   self      :    List[Any]      ,					a      :    float	)->       float:





     """simple docstring"""







     lowercase__           =  0.0

     # Start at index 1 and do index 0 at the end.
     for i in range(1      ,					self.order + 1	):
       result += (
           self.b_coeffs[i] * self.input_history[i - 1]
           - self.a_coeffs[i] * self.output_history[i - 1]
       )

     lowercase__           =  (result + self.b_coeffs[0] * sample) / self.a_coeffs[0]

     lowercase__           =  self.input_history[:-1]
     lowercase__           =  self.output_history[:-1]

     lowercase__           =  sample
     lowercase__           =  result

     return result









class     SCREAMING_SNAKE_CASE       (UpperCAmelCase				):
   pass






class     SCREAMING_SNAKE_CASE       (UpperCAmelCase				):
   pass






class     SCREAMING_SNAKE_CASE       :


   def __init__(   self      :    Dict	)->       Optional[int]:





     """simple docstring"""







     lowercase__           =  [
         [],
         [],
         [],
     ]


   def 	SCREAMING_SNAKE_CASE_							(   self      :    Dict      ,					a      :    int      ,					a      :    int	)->       None:





     """simple docstring"""







     try:
       if len(self.queues[priority]	) >= 100:
         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      :    int	)->       int:





     """simple docstring"""







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


   def __str__(   self      :    Dict	)->       str:





     """simple docstring"""







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






class     SCREAMING_SNAKE_CASE       :


   def __init__(   self      :    Optional[Any]	)->       Any:





     """simple docstring"""







     lowercase__           =  []


   def 	SCREAMING_SNAKE_CASE_							(   self      :    List[str]      ,					a      :    int	)->       None:





     """simple docstring"""







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


   def 	SCREAMING_SNAKE_CASE_							(   self      :    List[Any]	)->       int:





     """simple docstring"""







     if not self.queue:
       raise UnderFlowError('The queue is empty'	)
     else:
       lowercase__           =  min(self.queue	)
       self.queue.remove(a	)
       return data


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





     """simple docstring"""







     return str(self.queue	)






def       __UpperCamelCase  ()    ->       str:
  lowercase__           =  FixedPriorityQueue()
  fpq.enqueue(0		,						10		)
  fpq.enqueue(1		,						70		)
  fpq.enqueue(0		,						100		)
  fpq.enqueue(2		,						1		)
  fpq.enqueue(2		,						5		)
  fpq.enqueue(1		,						7		)
  fpq.enqueue(2		,						4		)
  fpq.enqueue(1		,						64		)
  fpq.enqueue(0		,						128		)
  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  ()    ->       List[str]:
  lowercase__           =  ElementPriorityQueue()
  epq.enqueue(10		)
  epq.enqueue(70		)
  epq.enqueue(100		)
  epq.enqueue(1		)
  epq.enqueue(5		)
  epq.enqueue(7		)
  epq.enqueue(4		)
  epq.enqueue(64		)
  epq.enqueue(128		)
  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()


