





"""simple docstring"""
import math




def 			__snake_case						(      __A    )		->				Dict:
   lowercase    :			Optional[int]  =       0
   if n % 2 == 0:
      count += 1
      while n % 2 == 0:
         lowercase    :			Dict  =       int(n / 2    )
    # the n input value must be odd so that
    # we can skip one element (ie i += 2)

   lowercase    :			List[str]  =       3

   while i <= int(math.sqrt(__A    )    ):
      if n % i == 0:
         count += 1
         while n % i == 0:
            lowercase    :			List[Any]  =       int(n / i    )
      lowercase    :			List[Any]  =       i + 2

   # this condition checks the prime
   # number n is greater than 2

   if n > 2:
      count += 1
   return count


if __name__ == "__main__":
   lowerCAmelCase:	Union[str, Any]							      =51242183
   print(F'The number of distinct prime factors is/are {exact_prime_factor_count(n)}')
   print(F'The value of log(log(n)) is {math.log(math.log(n)):.4f}')









"""simple docstring"""
import math




def 			__snake_case						(      __A    )		->				float:
   lowercase    :			List[Any]  =       math.log(2 ,10    ) * number
   lowercase    :			Tuple  =       round((log_number - int(__A    )) ,15    )

   return difference




def 			__snake_case						(      __A = 678910    )		->				int:
   lowercase    :			Any  =       90
   lowercase    :			Optional[Any]  =       0

   lowercase    :			List[str]  =       math.log(1.23 ,10    )
   lowercase    :			str  =       math.log(1.24 ,10    )
   lowercase    :			str  =       0

   while position < number:
      lowercase    :			Optional[Any]  =       log_difference(__A    )

      if difference >= upper_limit:
         power_iterator += 93

      elif difference < lower_limit:
         power_iterator += 196

      else:
         lowercase    :			List[Any]  =       power_iterator
         power_iterator += 196
         position += 1

   return previous_power


if __name__ == "__main__":
   import doctest

   doctest.testmod()

   print(F'{solution() = }')


