
def   __lowerCAmelCase    (				UpperCAmelCase__					:   list      ,					UpperCAmelCase__					:   int      ,					UpperCAmelCase__					:   int = 0      ,					UpperCAmelCase__					:   int = 0							)	->     int:
							lowerCamelCase_					=       right or len(UpperCAmelCase__							) - 1
							if left > right:
														return -1
							elif list_data[left] == key:
														return left
							elif list_data[right] == key:
														return right
							else:
														return search(UpperCAmelCase__      ,					UpperCAmelCase__      ,					left + 1      ,					right - 1							)


if __name__ == "__main__":
		import doctest

		doctest.testmod()







def   __lowerCAmelCase    (				UpperCAmelCase__					:   int							)	->     int:

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

							lowerCamelCase_					=       0
							lowerCamelCase_					=       str(UpperCAmelCase__							)

							while len(UpperCAmelCase__							) != 1:
														lowerCamelCase_					=       [int(UpperCAmelCase__							) for i in num_string]

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

														lowerCamelCase_					=       str(UpperCAmelCase__							)

														steps += 1
							return steps



def   __lowerCAmelCase    (				UpperCAmelCase__					:   int							)	->     int:

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

							lowerCamelCase_					=       0
							lowerCamelCase_					=       str(UpperCAmelCase__							)

							while len(UpperCAmelCase__							) != 1:
														lowerCamelCase_					=       [int(UpperCAmelCase__							) for i in num_string]

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

														lowerCamelCase_					=       str(UpperCAmelCase__							)

														steps += 1
							return steps


if __name__ == "__main__":
		import doctest

		doctest.testmod()





