






def        _lowerCamelCase(      lowerCAmelCase__					:		list[int]   ):





				'''simple docstring'''







				if not isinstance(lowerCAmelCase__     ,     lowerCAmelCase__   ) or not all(
				    isinstance(lowerCAmelCase__     ,     lowerCAmelCase__   ) and item >= 0 for item in citations   ):
								raise ValueError('The citations should be a list of non negative integers.'   )

				citations.sort()
				SCREAMING_SNAKE_CASE_ :						Optional[Any]    				= len(lowerCAmelCase__   )

				for i in range(lowerCAmelCase__   ):
								if citations[len_citations - 1 - i] <= i:
												return i

				return len_citations


if __name__ == "__main__":
				import doctest

				doctest.testmod()







def        _lowerCamelCase(      lowerCAmelCase__					:		float     ,     lowerCAmelCase__					:		float     ,     lowerCAmelCase__					:		float   ):





				'''simple docstring'''







				if mass < 0:
								raise ValueError('The mass of the body cannot be negative'   )
				if radius <= 0:
								raise ValueError('The radius is always a positive non zero integer'   )
				return (mass * (velocity) ** 2) / radius


if __name__ == "__main__":
				import doctest

				doctest.testmod(verbose=True)