






'''simple docstring'''







from maths.is_square_free import is_square_free
from maths.prime_factors import prime_factors





def 			SCREAMING_SNAKE_CASE_	(UpperCamelCase				)				->	int:
							lowerCamelCase__ :     Union[str, Any]	  =	prime_factors(UpperCamelCase				)
							if is_square_free(UpperCamelCase				):
														return -1 if len(UpperCamelCase				) % 2 else 1
							return 0


if __name__ == "__main__":
			import doctest

			doctest.testmod()









'''simple docstring'''







from math import asin, atan, cos, radians, sin, sqrt, tan

_A     :      List[str]   					=637_8137.0
_A     :      Dict   					=635_6752.31_4245
_A     :      int   					=6_378_137





def 			SCREAMING_SNAKE_CASE_	(UpperCamelCase    ,      UpperCamelCase    ,      UpperCamelCase    ,      UpperCamelCase				)				->	float:
							lowerCamelCase__ :     str	  =	(AXIS_A - AXIS_B) / AXIS_A
							lowerCamelCase__ :     Dict	  =	atan((1 - flattening) * tan(radians(UpperCamelCase				)				)				)
							lowerCamelCase__ :     Dict	  =	atan((1 - flattening) * tan(radians(UpperCamelCase				)				)				)
							lowerCamelCase__ :     Optional[Any]	  =	radians(UpperCamelCase				)
							lowerCamelCase__ :     List[Any]	  =	radians(UpperCamelCase				)
							# Equation
							lowerCamelCase__ :     Tuple	  =	sin((phi_a - phi_a) / 2				)
							lowerCamelCase__ :     List[Any]	  =	sin((lambda_a - lambda_a) / 2				)
							# Square both values
							sin_sq_phi *= sin_sq_phi
							sin_sq_lambda *= sin_sq_lambda
							lowerCamelCase__ :     Tuple	  =	sqrt(sin_sq_phi + (cos(UpperCamelCase				) * cos(UpperCamelCase				) * sin_sq_lambda)				)
							return 2 * RADIUS * asin(UpperCamelCase				)


if __name__ == "__main__":
			import doctest

			doctest.testmod()

