

from math import isclose, sqrt


def        __lowerCAmelCase    (       _UpperCamelCase		:  float		,							_UpperCamelCase		:  float		,							_UpperCamelCase		:  float	)		->							Dict:
	'''simple docstring'''


	SCREAMING_SNAKE_CASE								=			point_y / 4 / point_x
	SCREAMING_SNAKE_CASE								=			2 * normal_gradient / (1 + normal_gradient * normal_gradient)
	SCREAMING_SNAKE_CASE								=			(1 - normal_gradient * normal_gradient) / (
	    1 + normal_gradient * normal_gradient
	)
	SCREAMING_SNAKE_CASE								=			(sa - ca * incoming_gradient) / (ca + sa * incoming_gradient)

	# to find the next point, solve the simultaeneous equations:
	# y^2 + 4x^2 = 100
	# y - b = m * (x - a)
	# ==> A x^2 + B x + C = 0
	SCREAMING_SNAKE_CASE								=			outgoing_gradient**2 + 4
	SCREAMING_SNAKE_CASE								=			2 * outgoing_gradient * (point_y - outgoing_gradient * point_x)
	SCREAMING_SNAKE_CASE								=			(point_y - outgoing_gradient * point_x) ** 2 - 1_00

	SCREAMING_SNAKE_CASE								=			(
	    -linear_term - sqrt(linear_term**2 - 4 * quadratic_term * constant_term	)
	) / (2 * quadratic_term)
	SCREAMING_SNAKE_CASE								=			(
	    -linear_term + sqrt(linear_term**2 - 4 * quadratic_term * constant_term	)
	) / (2 * quadratic_term)

	# two solutions, one of which is our input point
	SCREAMING_SNAKE_CASE								=			x_minus if isclose(UpperCAmelCase__		,							UpperCAmelCase__	) else x_plus
	SCREAMING_SNAKE_CASE								=			point_y + outgoing_gradient * (next_x - point_x)

	return next_x, next_y, outgoing_gradient


def        __lowerCAmelCase    (       _UpperCamelCase		:  float = 1.4		,							_UpperCamelCase		:  float = -9.6	)		->							int:
	'''simple docstring'''


	SCREAMING_SNAKE_CASE								=			0
	SCREAMING_SNAKE_CASE								=			first_x_coord
	SCREAMING_SNAKE_CASE								=			first_y_coord
	SCREAMING_SNAKE_CASE								=			(10.1 - point_y) / (0.0 - point_x)

	while not (-0.01 <= point_x <= 0.01 and point_y > 0):
		SCREAMING_SNAKE_CASE						,	SCREAMING_SNAKE_CASE						,	SCREAMING_SNAKE_CASE								=			next_point(UpperCAmelCase__		,							UpperCAmelCase__		,							UpperCAmelCase__	)
		num_reflections += 1

	return num_reflections


if __name__ == "__main__":
						print(F"""{solution() = }""")




from ....configuration_utils import PretrainedConfig
from ....utils import logging


a_    :						Any    		=      logging.get_logger(__name__)

a_    :						Dict    		=      {
    "Visual-Attention-Network/van-base": (
        "https://huggingface.co/Visual-Attention-Network/van-base/blob/main/config.json"
    ),
}




class      UpperCamelCase (     SCREAMING_SNAKE_CASE   ):
    __UpperCamelCase         ="van"

    def __init__(			self :      Optional[Any]							,    snake_case__ :      Tuple=2_2_4							,    snake_case__ :      Dict=3							,    snake_case__ :      Union[str, Any]=[7, 3, 3, 3]							,    snake_case__ :      str=[4, 2, 2, 2]							,    snake_case__ :      Optional[Any]=[6_4, 1_2_8, 3_2_0, 5_1_2]							,    snake_case__ :      Optional[Any]=[3, 3, 1_2, 3]							,    snake_case__ :      Tuple=[8, 8, 4, 4]							,    snake_case__ :      Any="gelu"							,    snake_case__ :      Dict=0.02							,    snake_case__ :      List[str]=1E-6							,    snake_case__ :      int=1E-2							,    snake_case__ :      Any=0.0							,    snake_case__ :      Tuple=0.0							,    **snake_case__ :      Any							,    ):

     """simple docstring"""






     super().__init__(**snake_case__    )
     SCREAMING_SNAKE_CASE								=			image_size
     SCREAMING_SNAKE_CASE								=			num_channels
     SCREAMING_SNAKE_CASE								=			patch_sizes
     SCREAMING_SNAKE_CASE								=			strides
     SCREAMING_SNAKE_CASE								=			hidden_sizes
     SCREAMING_SNAKE_CASE								=			depths
     SCREAMING_SNAKE_CASE								=			mlp_ratios
     SCREAMING_SNAKE_CASE								=			hidden_act
     SCREAMING_SNAKE_CASE								=			initializer_range
     SCREAMING_SNAKE_CASE								=			layer_norm_eps
     SCREAMING_SNAKE_CASE								=			layer_scale_init_value
     SCREAMING_SNAKE_CASE								=			drop_path_rate
     SCREAMING_SNAKE_CASE								=			dropout_rate

