code: 
  
  '''simple docstring'''
  
  import qiskit
  from qiskit.providers import Backend
  
  
  
  
  
  def lowerCamelCase		(  __lowerCamelCase				:					int      , __lowerCamelCase				:					int					)		->tuple[qiskit.QuantumCircuit, str, str]:
      _SCREAMING_SNAKE_CASE       , _SCREAMING_SNAKE_CASE             =    bin(__lowerCamelCase					)[2:], bin(__lowerCamelCase					)[2:]  # Remove leading '0b'
  
      # Ensure that both strings are of the same length
      if len(__lowerCamelCase					) > len(__lowerCamelCase					):
          _SCREAMING_SNAKE_CASE             =    y.zfill(len(__lowerCamelCase					)					)
      else:
          _SCREAMING_SNAKE_CASE             =    x.zfill(len(__lowerCamelCase					)					)
  
      # We need (3 * number of bits in the larger number)+1 qBits
      # The second parameter is the number of classical registers, to measure the result
      _SCREAMING_SNAKE_CASE             =    qiskit.QuantumCircuit((len(__lowerCamelCase					) * 3) + 1      , len(__lowerCamelCase					) + 1					)
  
      # We are essentially "not-ing" the bits that are 1
      # Reversed because it's easier to perform ops on more significant bits
      for i in range(len(__lowerCamelCase					)					):
          if x[::-1][i] == "1":
              circuit.x(__lowerCamelCase					)
      for j in range(len(__lowerCamelCase					)					):
          if y[::-1][j] == "1":
              circuit.x(len(__lowerCamelCase					) + j					)
  
      return circuit, x, y
  
  
  
  
  
  def lowerCamelCase		(  __lowerCamelCase				:					qiskit.QuantumCircuit      , __lowerCamelCase				:					int      , __lowerCamelCase				:					int      , __lowerCamelCase				:					int      , __lowerCamelCase				:					int      , )		->Optional[Any]:
      circuit.ccx(__lowerCamelCase      , __lowerCamelCase      , __lowerCamelCase					)
      circuit.cx(__lowerCamelCase      , __lowerCamelCase					)
      circuit.ccx(__lowerCamelCase      , __lowerCamelCase      , __lowerCamelCase					)
      circuit.cx(__lowerCamelCase      , __lowerCamelCase					)
      circuit.cx(__lowerCamelCase      , __lowerCamelCase					)
  
  
  
  
  
  def lowerCamelCase		(  __lowerCamelCase				:					int      , __lowerCamelCase				:					int      , __lowerCamelCase				:					Backend = qiskit.Aer.get_backend("""aer_simulator"""					)      , )		->int:
  
      if vala < 0 or vala < 0:
          raise ValueError("""Both Integers must be positive!"""					)
  
      # Store the Integers
      _SCREAMING_SNAKE_CASE       , _SCREAMING_SNAKE_CASE       , _SCREAMING_SNAKE_CASE             =    store_two_classics(__lowerCamelCase      , __lowerCamelCase					)
      for i in range(len(__lowerCamelCase					)					):
          full_adder(__lowerCamelCase      , __lowerCamelCase      , len(__lowerCamelCase					) + i      , len(__lowerCamelCase					) + len(__lowerCamelCase					) + i      , len(__lowerCamelCase					) + len(__lowerCamelCase					) + i + 1					)
          circuit.barrier()  # Optional, just for aesthetics
  
      # Measure the resultant qBits
      for i in range(len(__lowerCamelCase					) + 1					):
          circuit.measure([(len(__lowerCamelCase					) * 2) + i]      , [i]					)
  
      _SCREAMING_SNAKE_CASE             =    qiskit.execute(__lowerCamelCase      , __lowerCamelCase      , shots=1					).result()
  
      # The result is in binary. Convert it back to int
      return int(list(res.get_counts()					)[0]      , 2					)
  
  
  if __name__ == "__main__":
        import doctest
  
        doctest.testmod()
  
  
  
  
style_context: 
  
  
  
  
  
  '''simple docstring'''
  
  import math
  from timeit import timeit
  
  
  
  
  
  def lowerCamelCase		(  __lowerCamelCase				:					int					)		->int:
      _SCREAMING_SNAKE_CASE             =    0
      _SCREAMING_SNAKE_CASE             =    abs(__lowerCamelCase					)
      while True:
          _SCREAMING_SNAKE_CASE             =    n // 10
          digits += 1
          if n == 0:
              break
      return digits
  
  
  
  
  
  def lowerCamelCase		(  __lowerCamelCase				:					int					)		->int:
      return 1 if n == 0 else math.floor(math.log(abs(__lowerCamelCase					)      , 10					) + 1					)
  
  
  
  
  
  def lowerCamelCase		(  __lowerCamelCase				:					int					)		->int:
      return len(str(abs(__lowerCamelCase					)					)					)
  
  
  
  
  
  def lowerCamelCase		(  )		->None:
      from collections.abc import Callable
  
      def benchmark_a_function(__lowerCamelCase				:					Callable      , __lowerCamelCase				:					int					) -> None:
          _SCREAMING_SNAKE_CASE             =    F'{func.__name__}({value})'
          _SCREAMING_SNAKE_CASE             =    timeit(F'__main__.{call}'      , setup="""import __main__"""					)
          print(F'{call}: {func(__lowerCamelCase					)} -- {timing} seconds'					)
  
      for value in (26_2144, 1125_8999_0684_2624, 126_7650_6002_2822_9401_4967_0320_5376):
          for func in (num_digits, num_digits_fast, num_digits_faster):
              benchmark_a_function(__lowerCamelCase      , __lowerCamelCase					)
          print()
  
  
  if __name__ == "__main__":
        import doctest
  
        doctest.testmod()
        benchmark()
  
  
  
  