




'''simple docstring'''







def 	_A			(   UpperCAmelCase			,UpperCAmelCase			,UpperCAmelCase	):






   '''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)








'''simple docstring'''







def 	_A			(   UpperCAmelCase	):






   '''simple docstring'''







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

   citations.sort()
   A__         =    len(UpperCAmelCase	)

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

   return len_citations


if __name__ == "__main__":
    import doctest

    doctest.testmod()


