


"""simple docstring"""
def   _a			( _SCREAMING_SNAKE_CASE			)      ->			int:

							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"""			)

							snake_case_          =						0
							snake_case_          =						str(_SCREAMING_SNAKE_CASE			)

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

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

														snake_case_          =						str(_SCREAMING_SNAKE_CASE			)

														steps += 1
							return steps







def   _a			( _SCREAMING_SNAKE_CASE			)      ->			int:

							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"""			)

							snake_case_          =						0
							snake_case_          =						str(_SCREAMING_SNAKE_CASE			)

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

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

														snake_case_          =						str(_SCREAMING_SNAKE_CASE			)

														steps += 1
							return steps


if __name__ == "__main__":
				import doctest

				doctest.testmod()







"""simple docstring"""
from __future__ import annotations

from collections.abc import Iterator





class        __A       :





							'''simple docstring'''

							def __init__(			self							: Any						,    UpperCAmelCase_							: int    )   ->None:



														"""simple docstring"""



														snake_case_          =						value
														snake_case_          =						None
														snake_case_          =						None





class        __A       :





							'''simple docstring'''

							def __init__(			self							: List[Any]						,    UpperCAmelCase_							: Node    )   ->None:



														"""simple docstring"""



														snake_case_          =						tree



							def 						lowerCAmelCase    (			self							: List[str]						,    UpperCAmelCase_							: Node | None    )   ->int:



														"""simple docstring"""



														if node is None:
																					return 0
														return node.value + (
														    self.depth_first_search(node.left    ) + self.depth_first_search(node.right    )
														)



							def __iter__(			self							: str    )   ->Iterator[int]:



														"""simple docstring"""



														yield self.depth_first_search(self.tree    )


if __name__ == "__main__":
				import doctest

				doctest.testmod()



