"""simple docstring"""







def       A__    (	lowercase_     :	float      , lowercase_     :	float      , lowercase_     :	float						)  ->							float:
   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'''





from ..utils import DummyObject, requires_backends

class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					Optional[int],     *SCREAMING_SNAKE_CASE_						:					List[str],     **SCREAMING_SNAKE_CASE_						:					Tuple   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					Dict,     *SCREAMING_SNAKE_CASE_						:					List[str],     **SCREAMING_SNAKE_CASE_						:					Optional[Any]   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					List[str],     *SCREAMING_SNAKE_CASE_						:					int,     **SCREAMING_SNAKE_CASE_						:					List[Any]   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					int,     *SCREAMING_SNAKE_CASE_						:					str,     **SCREAMING_SNAKE_CASE_						:					Optional[Any]   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					Optional[Any],     *SCREAMING_SNAKE_CASE_						:					str,     **SCREAMING_SNAKE_CASE_						:					List[Any]   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					List[Any],     *SCREAMING_SNAKE_CASE_						:					Dict,     **SCREAMING_SNAKE_CASE_						:					Dict   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					str,     *SCREAMING_SNAKE_CASE_						:					List[str],     **SCREAMING_SNAKE_CASE_						:					List[str]   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					int,     *SCREAMING_SNAKE_CASE_						:					Tuple,     **SCREAMING_SNAKE_CASE_						:					List[Any]   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					Dict,     *SCREAMING_SNAKE_CASE_						:					List[str],     **SCREAMING_SNAKE_CASE_						:					List[str]   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					Tuple,     *SCREAMING_SNAKE_CASE_						:					str,     **SCREAMING_SNAKE_CASE_						:					Tuple   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					List[Any],     *SCREAMING_SNAKE_CASE_						:					List[Any],     **SCREAMING_SNAKE_CASE_						:					int   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					List[str],     *SCREAMING_SNAKE_CASE_						:					List[Any],     **SCREAMING_SNAKE_CASE_						:					Tuple   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					Tuple,     *SCREAMING_SNAKE_CASE_						:					Optional[int],     **SCREAMING_SNAKE_CASE_						:					Tuple   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					Any,     *SCREAMING_SNAKE_CASE_						:					str,     **SCREAMING_SNAKE_CASE_						:					Optional[Any]   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					Any,     *SCREAMING_SNAKE_CASE_						:					Tuple,     **SCREAMING_SNAKE_CASE_						:					List[str]   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					List[str],     *SCREAMING_SNAKE_CASE_						:					str,     **SCREAMING_SNAKE_CASE_						:					int   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					List[Any],     *SCREAMING_SNAKE_CASE_						:					str,     **SCREAMING_SNAKE_CASE_						:					List[str]   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					Optional[int],     *SCREAMING_SNAKE_CASE_						:					Any,     **SCREAMING_SNAKE_CASE_						:					str   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					str,     *SCREAMING_SNAKE_CASE_						:					Optional[int],     **SCREAMING_SNAKE_CASE_						:					Optional[Any]   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					List[str],     *SCREAMING_SNAKE_CASE_						:					List[Any],     **SCREAMING_SNAKE_CASE_						:					Tuple   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					List[str],     *SCREAMING_SNAKE_CASE_						:					Dict,     **SCREAMING_SNAKE_CASE_						:					Dict   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					List[str],     *SCREAMING_SNAKE_CASE_						:					int,     **SCREAMING_SNAKE_CASE_						:					int   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					Any,     *SCREAMING_SNAKE_CASE_						:					Tuple,     **SCREAMING_SNAKE_CASE_						:					Any   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					Tuple,     *SCREAMING_SNAKE_CASE_						:					Dict,     **SCREAMING_SNAKE_CASE_						:					Dict   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					List[str],     *SCREAMING_SNAKE_CASE_						:					int,     **SCREAMING_SNAKE_CASE_						:					Union[str, Any]   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					int,     *SCREAMING_SNAKE_CASE_						:					str,     **SCREAMING_SNAKE_CASE_						:					int   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					Optional[Any],     *SCREAMING_SNAKE_CASE_						:					Optional[int],     **SCREAMING_SNAKE_CASE_						:					Dict   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					int,     *SCREAMING_SNAKE_CASE_						:					List[Any],     **SCREAMING_SNAKE_CASE_						:					Dict   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					str,     *SCREAMING_SNAKE_CASE_						:					Tuple,     **SCREAMING_SNAKE_CASE_						:					str   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					Optional[int],     *SCREAMING_SNAKE_CASE_						:					List[Any],     **SCREAMING_SNAKE_CASE_						:					str   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					Union[str, Any],     *SCREAMING_SNAKE_CASE_						:					Dict,     **SCREAMING_SNAKE_CASE_						:					List[Any]   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					Union[str, Any],     *SCREAMING_SNAKE_CASE_						:					Optional[int],     **SCREAMING_SNAKE_CASE_						:					List[str]   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					str,     *SCREAMING_SNAKE_CASE_						:					List[Any],     **SCREAMING_SNAKE_CASE_						:					Tuple   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					Union[str, Any],     *SCREAMING_SNAKE_CASE_						:					Dict,     **SCREAMING_SNAKE_CASE_						:					Union[str, Any]   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					Union[str, Any],     *SCREAMING_SNAKE_CASE_						:					Dict,     **SCREAMING_SNAKE_CASE_						:					int   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					str,     *SCREAMING_SNAKE_CASE_						:					Optional[Any],     **SCREAMING_SNAKE_CASE_						:					Tuple   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					Any,     *SCREAMING_SNAKE_CASE_						:					Tuple,     **SCREAMING_SNAKE_CASE_						:					int   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					Optional[int],     *SCREAMING_SNAKE_CASE_						:					List[Any],     **SCREAMING_SNAKE_CASE_						:					Any   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					List[Any],     *SCREAMING_SNAKE_CASE_						:					Optional[Any],     **SCREAMING_SNAKE_CASE_						:					List[str]   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					str,     *SCREAMING_SNAKE_CASE_						:					Union[str, Any],     **SCREAMING_SNAKE_CASE_						:					List[Any]   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					str,     *SCREAMING_SNAKE_CASE_						:					Dict,     **SCREAMING_SNAKE_CASE_						:					str   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					Union[str, Any],     *SCREAMING_SNAKE_CASE_						:					Union[str, Any],     **SCREAMING_SNAKE_CASE_						:					Union[str, Any]   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					Union[str, Any],     *SCREAMING_SNAKE_CASE_						:					List[str],     **SCREAMING_SNAKE_CASE_						:					str   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					Tuple,     *SCREAMING_SNAKE_CASE_						:					Union[str, Any],     **SCREAMING_SNAKE_CASE_						:					Tuple   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					Optional[Any],     *SCREAMING_SNAKE_CASE_						:					Dict,     **SCREAMING_SNAKE_CASE_						:					List[Any]   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					Optional[int],     *SCREAMING_SNAKE_CASE_						:					int,     **SCREAMING_SNAKE_CASE_						:					Any   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					List[str],     *SCREAMING_SNAKE_CASE_						:					str,     **SCREAMING_SNAKE_CASE_						:					Any   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					str,     *SCREAMING_SNAKE_CASE_						:					List[Any],     **SCREAMING_SNAKE_CASE_						:					int   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					Optional[int],     *SCREAMING_SNAKE_CASE_						:					str,     **SCREAMING_SNAKE_CASE_						:					str   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					Optional[Any],     *SCREAMING_SNAKE_CASE_						:					List[str],     **SCREAMING_SNAKE_CASE_						:					int   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					Tuple,     *SCREAMING_SNAKE_CASE_						:					Any,     **SCREAMING_SNAKE_CASE_						:					Any   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					Optional[Any],     *SCREAMING_SNAKE_CASE_						:					Dict,     **SCREAMING_SNAKE_CASE_						:					str   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					List[Any],     *SCREAMING_SNAKE_CASE_						:					Dict,     **SCREAMING_SNAKE_CASE_						:					str   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					Dict,     *SCREAMING_SNAKE_CASE_						:					str,     **SCREAMING_SNAKE_CASE_						:					Optional[Any]   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					List[Any],     *SCREAMING_SNAKE_CASE_						:					Dict,     **SCREAMING_SNAKE_CASE_						:					List[Any]   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					Any,     *SCREAMING_SNAKE_CASE_						:					List[str],     **SCREAMING_SNAKE_CASE_						:					Tuple   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					Tuple,     *SCREAMING_SNAKE_CASE_						:					Any,     **SCREAMING_SNAKE_CASE_						:					Optional[Any]   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					Dict,     *SCREAMING_SNAKE_CASE_						:					Tuple,     **SCREAMING_SNAKE_CASE_						:					Optional[int]   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					Any,     *SCREAMING_SNAKE_CASE_						:					Union[str, Any],     **SCREAMING_SNAKE_CASE_						:					Dict   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					Tuple,     *SCREAMING_SNAKE_CASE_						:					str,     **SCREAMING_SNAKE_CASE_						:					List[str]   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					Dict,     *SCREAMING_SNAKE_CASE_						:					str,     **SCREAMING_SNAKE_CASE_						:					List[Any]   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					List[Any],     *SCREAMING_SNAKE_CASE_						:					Optional[int],     **SCREAMING_SNAKE_CASE_						:					Dict   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					Optional[Any],     *SCREAMING_SNAKE_CASE_						:					Dict,     **SCREAMING_SNAKE_CASE_						:					Any   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					Optional[Any],     *SCREAMING_SNAKE_CASE_						:					List[Any],     **SCREAMING_SNAKE_CASE_						:					List[str]   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					int,     *SCREAMING_SNAKE_CASE_						:					Any,     **SCREAMING_SNAKE_CASE_						:					Dict   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					Dict,     *SCREAMING_SNAKE_CASE_						:					Dict,     **SCREAMING_SNAKE_CASE_						:					Optional[int]   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					str,     *SCREAMING_SNAKE_CASE_						:					List[Any],     **SCREAMING_SNAKE_CASE_						:					List[str]   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					Dict,     *SCREAMING_SNAKE_CASE_						:					Union[str, Any],     **SCREAMING_SNAKE_CASE_						:					Tuple   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					Tuple,     *SCREAMING_SNAKE_CASE_						:					Optional[Any],     **SCREAMING_SNAKE_CASE_						:					Dict   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					Union[str, Any],     *SCREAMING_SNAKE_CASE_						:					List[Any],     **SCREAMING_SNAKE_CASE_						:					str   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					str,     *SCREAMING_SNAKE_CASE_						:					str,     **SCREAMING_SNAKE_CASE_						:					List[str]   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					List[Any],     *SCREAMING_SNAKE_CASE_						:					str,     **SCREAMING_SNAKE_CASE_						:					Optional[Any]   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					Optional[Any],     *SCREAMING_SNAKE_CASE_						:					Optional[int],     **SCREAMING_SNAKE_CASE_						:					Optional[int]   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					Any,     *SCREAMING_SNAKE_CASE_						:					Optional[int],     **SCREAMING_SNAKE_CASE_						:					List[str]   ):
										requires_backends(self,     ['''vision''']   )

