



"""simple docstring"""







from numpy import exp, pi, sqrt

def     UpperCamelCase   (   lowerCAmelCase__				:    Optional[Any]   ,       lowerCAmelCase__				:    float = 0.0   ,       lowerCAmelCase__				:    float = 1.0						)						->       int:

  """simple docstring"""




  return 1 / sqrt(2 * pi * sigma**2						) * exp(-((x - mu) ** 2) / (2 * sigma**2)						)


if __name__ == "__main__":
     import doctest

     doctest.testmod()










"""simple docstring"""







def     UpperCamelCase_   (   lowerCAmelCase__				:    str   ,       lowerCAmelCase__				:    str						)						->       int:

  """simple docstring"""




  if len(lowerCAmelCase__						) != len(lowerCAmelCase__						):
    raise ValueError('String lengths must match!'						)

  lowerCAmelCase_       :    List[Any]								=			0

  for chara, chara in zip(lowerCAmelCase__   ,       lowerCAmelCase__						):
    if chara != chara:
      count += 1

  return count


if __name__ == "__main__":
     import doctest

     doctest.testmod()





