class 			__lowercase		(						_lowerCamelCase						):







     """simple docstring"""






     pass






class 			__lowercase		(						_lowerCamelCase						):







     """simple docstring"""






     pass






class 			__lowercase		:







     """simple docstring"""






     def __init__(		self    ):
         __UpperCamelCase	:	Union[str, Any]		    =  [
             [],
             [],
             [],
         ]







     def lowerCAmelCase     (		self     ,			_lowerCamelCase     ,			_lowerCamelCase    ):
         try:
             if len(self.queues[priority]    ) >= 1_0_0:
                 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    ):
         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 			__lowercase		:







     """simple docstring"""






     def __init__(		self    ):
         __UpperCamelCase	:	Optional[int]		    =  []







     def lowerCAmelCase     (		self     ,			_lowerCamelCase    ):
         if len(self.queue    ) == 1_0_0:
             raise OverFlowError('Maximum queue size is 100'    )
         self.queue.append(_lowerCamelCase    )







     def lowerCAmelCase     (		self    ):
         if not self.queue:
             raise UnderFlowError('The queue is empty'    )
         else:
             __UpperCamelCase	:	Any		    =  min(self.queue    )
             self.queue.remove(_lowerCamelCase    )
             return data







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







def  _UpperCamelCase (     ):




    """simple docstring"""



    __UpperCamelCase	:	int		    =  FixedPriorityQueue()
    fpq.enqueue(0				,     1_0			)
    fpq.enqueue(1				,     7_0			)
    fpq.enqueue(0				,     1_0_0			)
    fpq.enqueue(2				,     1			)
    fpq.enqueue(2				,     5			)
    fpq.enqueue(1				,     7			)
    fpq.enqueue(2				,     4			)
    fpq.enqueue(1				,     6_4			)
    fpq.enqueue(0				,     1_2_8			)
    print(_a			)
    print(fpq.dequeue()			)
    print(fpq.dequeue()			)
    print(fpq.dequeue()			)
    print(fpq.dequeue()			)
    print(fpq.dequeue()			)
    print(_a			)
    print(fpq.dequeue()			)
    print(fpq.dequeue()			)
    print(fpq.dequeue()			)
    print(fpq.dequeue()			)
    print(fpq.dequeue()			)







def  _UpperCamelCase (     ):




    """simple docstring"""



    __UpperCamelCase	:	Optional[Any]		    =  ElementPriorityQueue()
    epq.enqueue(1_0			)
    epq.enqueue(7_0			)
    epq.enqueue(1_0_0			)
    epq.enqueue(1			)
    epq.enqueue(5			)
    epq.enqueue(7			)
    epq.enqueue(4			)
    epq.enqueue(6_4			)
    epq.enqueue(1_2_8			)
    print(_a			)
    print(epq.dequeue()			)
    print(epq.dequeue()			)
    print(epq.dequeue()			)
    print(epq.dequeue()			)
    print(epq.dequeue()			)
    print(_a			)
    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'''
def  _UpperCamelCase (     _a	:	int			):




    """simple docstring"""



    if bit_count < 0:
        raise ValueError('The given input must be positive'			)

    # get the generated string sequence
    __UpperCamelCase	:	Dict		    =  gray_code_sequence_string(_a			)
    #
    # convert them to integers
    for i in range(len(_a			)			):
        __UpperCamelCase	:	int		    =  int(sequence[i]				,     2			)

    return sequence







def  _UpperCamelCase (     _a	:	int			):




    """simple docstring"""



    if bit_count == 0:
        return ["0"]

    if bit_count == 1:
        return ["0", "1"]

    __UpperCamelCase	:	Dict		    =  1 << bit_count  # defines the length of the sequence
    # 1<< n is equivalent to 2^n

    # recursive answer will generate answer for n-1 bits
    __UpperCamelCase	:	Tuple		    =  gray_code_sequence_string(bit_count - 1			)

    __UpperCamelCase	:	str		    =  []

    # append 0 to first half of the smaller sequence generated
    for i in range(seq_len // 2			):
        __UpperCamelCase	:	Optional[Any]		    =  '0' + smaller_sequence[i]
        sequence.append(_a			)

    # append 1 to second half ... start from the end of the list
    for i in reversed(range(seq_len // 2			)			):
        __UpperCamelCase	:	List[Any]		    =  '1' + smaller_sequence[i]
        sequence.append(_a			)

    return sequence


if __name__ == "__main__":
  import doctest

  doctest.testmod()



