
def     UpperCAmelCase_  (						__lowerCAmelCase	) ->						list:
    if any(not isinstance(__lowerCAmelCase	,					__lowerCAmelCase	) or x < 0 for x in sequence	):
        raise TypeError('''Sequence must be list of non-negative integers'''	)
    for _ in range(len(__lowerCAmelCase	)	):
        for i, (rod_upper, rod_lower) in enumerate(zip(__lowerCAmelCase	,					sequence[1:]	)	):
            if rod_upper > rod_lower:
                sequence[i] -= rod_upper - rod_lower
                sequence[i + 1] += rod_upper - rod_lower
    return sequence


if __name__ == "__main__":
 assert bead_sort([5, 4, 3, 2, 1]) == [1, 2, 3, 4, 5]
 assert bead_sort([7, 9, 4, 3, 5]) == [3, 4, 5, 7, 9]




def     UpperCAmelCase_  (						__lowerCAmelCase	) ->						int:

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

    __lowercase		:			Dict	    =       0
    __lowercase		:			Optional[int]	    =       str(__lowerCAmelCase	)

    while len(__lowerCAmelCase	) != 1:
        __lowercase		:			str	    =       [int(__lowerCAmelCase	) for i in num_string]

        __lowercase		:			Union[str, Any]	    =       1
        for i in range(0	,					len(__lowerCAmelCase	)	):
            total *= numbers[i]

        __lowercase		:			Any	    =       str(__lowerCAmelCase	)

        steps += 1
    return steps


def     UpperCAmelCase_  (						__lowerCAmelCase	) ->						int:

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

    __lowercase		:			Any	    =       0
    __lowercase		:			Union[str, Any]	    =       str(__lowerCAmelCase	)

    while len(__lowerCAmelCase	) != 1:
        __lowercase		:			List[str]	    =       [int(__lowerCAmelCase	) for i in num_string]

        __lowercase		:			Tuple	    =       0
        for i in range(0	,					len(__lowerCAmelCase	)	):
            total += numbers[i]

        __lowercase		:			List[str]	    =       str(__lowerCAmelCase	)

        steps += 1
    return steps


if __name__ == "__main__":
 import doctest

 doctest.testmod()


