






class 					A__     (     __snake_case ):

     '''simple docstring'''






     pass





class 					A__     (     __snake_case ):

     '''simple docstring'''






     pass





class 					A__     :

     '''simple docstring'''






     def __init__( self      :    str ):






           """simple docstring"""




           UpperCamelCase					       =  [
               [],
               [],
               [],
           ]







     def   _SCREAMING_SNAKE_CASE     ( self      :    Optional[int]   ,						_SCREAMING_SNAKE_CASE      :    int   ,						_SCREAMING_SNAKE_CASE      :    int ):






           """simple docstring"""




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







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






           """simple docstring"""




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







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






           """simple docstring"""




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





class 					A__     :

     '''simple docstring'''






     def __init__( self      :    Any ):






           """simple docstring"""




           UpperCamelCase					       =  []







     def   _SCREAMING_SNAKE_CASE     ( self      :    int   ,						_SCREAMING_SNAKE_CASE      :    int ):






           """simple docstring"""




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







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






           """simple docstring"""




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







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






           """simple docstring"""




           return str(self.queue )

def 		lowercase__  (				) ->			Optional[int]:
      """simple docstring"""

      UpperCamelCase					       =  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(_UpperCamelCase)
      print(fpq.dequeue())
      print(fpq.dequeue())
      print(fpq.dequeue())
      print(fpq.dequeue())
      print(fpq.dequeue())
      print(_UpperCamelCase)
      print(fpq.dequeue())
      print(fpq.dequeue())
      print(fpq.dequeue())
      print(fpq.dequeue())
      print(fpq.dequeue())
def 		lowercase__  (				) ->			Dict:
      """simple docstring"""

      UpperCamelCase					       =  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(_UpperCamelCase)
      print(epq.dequeue())
      print(epq.dequeue())
      print(epq.dequeue())
      print(epq.dequeue())
      print(epq.dequeue())
      print(_UpperCamelCase)
      print(epq.dequeue())
      print(epq.dequeue())
      print(epq.dequeue())
      print(epq.dequeue())
      print(epq.dequeue())


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











from __future__ import annotations

from collections.abc import MutableSequence





class 					A__     :

     '''simple docstring'''






     def __init__( self      :    Dict   ,						_SCREAMING_SNAKE_CASE      :    int   ,						_SCREAMING_SNAKE_CASE      :    MutableSequence[float] ):






           """simple docstring"""




           if len(_SCREAMING_SNAKE_CASE ) != degree + 1:
                 raise ValueError(
                     'The number of coefficients should be equal to the degree + 1.' )

           UpperCamelCase					       =  list(_SCREAMING_SNAKE_CASE )
           UpperCamelCase					       =  degree







     def __add__( self      :    Any   ,						_SCREAMING_SNAKE_CASE      :    Polynomial ):






           """simple docstring"""




           if self.degree > polynomial_a.degree:
                 UpperCamelCase					       =  self.coefficients[:]
                 for i in range(polynomial_a.degree + 1 ):
                       coefficients[i] += polynomial_a.coefficients[i]
                 return Polynomial(self.degree   ,						_SCREAMING_SNAKE_CASE )
           else:
                 UpperCamelCase					       =  polynomial_a.coefficients[:]
                 for i in range(self.degree + 1 ):
                       coefficients[i] += self.coefficients[i]
                 return Polynomial(polynomial_a.degree   ,						_SCREAMING_SNAKE_CASE )







     def __sub__( self      :    Optional[int]   ,						_SCREAMING_SNAKE_CASE      :    Polynomial ):






           """simple docstring"""




           return self + polynomial_a * Polynomial(0   ,						[-1] )







     def __neg__( self      :    Any ):






           """simple docstring"""




           return Polynomial(self.degree   ,						[-c for c in self.coefficients] )







     def __mul__( self      :    Union[str, Any]   ,						_SCREAMING_SNAKE_CASE      :    Polynomial ):






           """simple docstring"""




           UpperCamelCase					       =  [0] * (self.degree + polynomial_a.degree + 1)
           for i in range(self.degree + 1 ):
                 for j in range(polynomial_a.degree + 1 ):
                       coefficients[i + j] += (
                           self.coefficients[i] * polynomial_a.coefficients[j]
                       )

           return Polynomial(self.degree + polynomial_a.degree   ,						_SCREAMING_SNAKE_CASE )







     def   _SCREAMING_SNAKE_CASE     ( self      :    Optional[int]   ,						_SCREAMING_SNAKE_CASE      :    int | float ):






           """simple docstring"""




           UpperCamelCase					       =  0
           for i in range(self.degree + 1 ):
                 result += self.coefficients[i] * (substitution**i)
           return result







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






           """simple docstring"""




           UpperCamelCase					       =  ''
           for i in range(self.degree   ,						-1   ,						-1 ):
                 if self.coefficients[i] == 0:
                       continue
                 elif self.coefficients[i] > 0:
                       if polynomial:
                             polynomial += " + "
                 else:
                       polynomial += " - "

                 if i == 0:
                       polynomial += str(abs(self.coefficients[i] ) )
                 elif i == 1:
                       polynomial += str(abs(self.coefficients[i] ) ) + "x"
                 else:
                       polynomial += str(abs(self.coefficients[i] ) ) + "x^" + str(_SCREAMING_SNAKE_CASE )

           return polynomial







     def __repr__( self      :    str ):






           """simple docstring"""




           return self.__str__()







     def   _SCREAMING_SNAKE_CASE     ( self      :    Optional[Any] ):






           """simple docstring"""




           UpperCamelCase					       =  [0] * self.degree
           for i in range(self.degree ):
                 UpperCamelCase					       =  self.coefficients[i + 1] * (i + 1)
           return Polynomial(self.degree - 1   ,						_SCREAMING_SNAKE_CASE )







     def   _SCREAMING_SNAKE_CASE     ( self      :    Optional[int]   ,						_SCREAMING_SNAKE_CASE      :    int | float = 0 ):






           """simple docstring"""




           UpperCamelCase					       =  [0] * (self.degree + 2)
           UpperCamelCase					       =  constant
           for i in range(self.degree + 1 ):
                 UpperCamelCase					       =  self.coefficients[i] / (i + 1)
           return Polynomial(self.degree + 1   ,						_SCREAMING_SNAKE_CASE )







     def __eq__( self      :    Any   ,						_SCREAMING_SNAKE_CASE      :    object ):






           """simple docstring"""




           if not isinstance(_SCREAMING_SNAKE_CASE   ,						_SCREAMING_SNAKE_CASE ):
                 return False

           if self.degree != polynomial_a.degree:
                 return False

           for i in range(self.degree + 1 ):
                 if self.coefficients[i] != polynomial_a.coefficients[i]:
                       return False

           return True







     def __ne__( self      :    str   ,						_SCREAMING_SNAKE_CASE      :    object ):






           """simple docstring"""




           return not self.__eq__(_SCREAMING_SNAKE_CASE )



