
'''simple docstring'''



def    lowerCAmelCase_	(				SCREAMING_SNAKE_CASE_    ,      SCREAMING_SNAKE_CASE_						)     ->     int:




   """simple docstring"""
   while b:
      _SCREAMING_SNAKE_CASE ,							_SCREAMING_SNAKE_CASE      =				b, a % b
   return a
def    lowerCAmelCase_	(				SCREAMING_SNAKE_CASE_    ,      SCREAMING_SNAKE_CASE_						)     ->     int:




   """simple docstring"""
   return a if b == 0 else euclidean_gcd_recursive(SCREAMING_SNAKE_CASE_    ,      a % b						)
def    lowerCAmelCase_	(				)     ->     Tuple:




   """simple docstring"""
   print(F"euclidean_gcd(3, 5) = {euclidean_gcd(3    ,      5						)}"						)
   print(F"euclidean_gcd(5, 3) = {euclidean_gcd(5    ,      3						)}"						)
   print(F"euclidean_gcd(1, 3) = {euclidean_gcd(1    ,      3						)}"						)
   print(F"euclidean_gcd(3, 6) = {euclidean_gcd(3    ,      6						)}"						)
   print(F"euclidean_gcd(6, 3) = {euclidean_gcd(6    ,      3						)}"						)

   print(F"euclidean_gcd_recursive(3, 5) = {euclidean_gcd_recursive(3    ,      5						)}"						)
   print(F"euclidean_gcd_recursive(5, 3) = {euclidean_gcd_recursive(5    ,      3						)}"						)
   print(F"euclidean_gcd_recursive(1, 3) = {euclidean_gcd_recursive(1    ,      3						)}"						)
   print(F"euclidean_gcd_recursive(3, 6) = {euclidean_gcd_recursive(3    ,      6						)}"						)
   print(F"euclidean_gcd_recursive(6, 3) = {euclidean_gcd_recursive(6    ,      3						)}"						)


if __name__ == "__main__":
     main()

'''simple docstring'''



def    lowerCAmelCase_	(				SCREAMING_SNAKE_CASE_						)     ->     int:




   """simple docstring"""

   if not isinstance(SCREAMING_SNAKE_CASE_    ,      SCREAMING_SNAKE_CASE_						):
      raise ValueError("""multiplicative_persistence() only accepts integral values"""						)
   if num < 0:
      raise ValueError("""multiplicative_persistence() does not accept negative values"""						)

   _SCREAMING_SNAKE_CASE      =				0
   _SCREAMING_SNAKE_CASE      =				str(SCREAMING_SNAKE_CASE_						)

   while len(SCREAMING_SNAKE_CASE_						) != 1:
      _SCREAMING_SNAKE_CASE      =				[int(SCREAMING_SNAKE_CASE_						) for i in num_string]

      _SCREAMING_SNAKE_CASE      =				1
      for i in range(0    ,      len(SCREAMING_SNAKE_CASE_						)						):
         total *= numbers[i]

      _SCREAMING_SNAKE_CASE      =				str(SCREAMING_SNAKE_CASE_						)

      steps += 1
   return steps
def    lowerCAmelCase_	(				SCREAMING_SNAKE_CASE_						)     ->     int:




   """simple docstring"""

   if not isinstance(SCREAMING_SNAKE_CASE_    ,      SCREAMING_SNAKE_CASE_						):
      raise ValueError("""additive_persistence() only accepts integral values"""						)
   if num < 0:
      raise ValueError("""additive_persistence() does not accept negative values"""						)

   _SCREAMING_SNAKE_CASE      =				0
   _SCREAMING_SNAKE_CASE      =				str(SCREAMING_SNAKE_CASE_						)

   while len(SCREAMING_SNAKE_CASE_						) != 1:
      _SCREAMING_SNAKE_CASE      =				[int(SCREAMING_SNAKE_CASE_						) for i in num_string]

      _SCREAMING_SNAKE_CASE      =				0
      for i in range(0    ,      len(SCREAMING_SNAKE_CASE_						)						):
         total += numbers[i]

      _SCREAMING_SNAKE_CASE      =				str(SCREAMING_SNAKE_CASE_						)

      steps += 1
   return steps


if __name__ == "__main__":
     import doctest

     doctest.testmod()






