




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

_snake_case										=       6_3_7_8_1_3_7.0
_snake_case										=       6_3_5_6_7_5_2.3_1_4_2_4_5
_snake_case										=       6378137







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


if __name__ == "__main__":
  import doctest

  doctest.testmod()


from functools import lru_cache




@lru_cache
def       _snake_case	(   lowerCAmelCase							:   int	):
		"""simple docstring"""







		if num < 0:
				raise ValueError("Number should not be negative."	)

		return 1 if num in (0, 1) else num * factorial(num - 1	)


if __name__ == "__main__":
		import doctest

		doctest.testmod()
