


"""simple docstring"""




def     lowercase			(SCREAMING_SNAKE_CASE_		:				int = 10 ,			SCREAMING_SNAKE_CASE_		:				int = 10_00 ,			SCREAMING_SNAKE_CASE_		:				bool = True  )   ->						int:
						assert (
						    isinstance(SCREAMING_SNAKE_CASE_ ,			SCREAMING_SNAKE_CASE_  )
						    and isinstance(SCREAMING_SNAKE_CASE_ ,			SCREAMING_SNAKE_CASE_  )
						    and isinstance(SCREAMING_SNAKE_CASE_ ,			SCREAMING_SNAKE_CASE_  )
						), "Invalid type of value(s) specified to function!"

						if min_val > max_val:
												raise ValueError('Invalid value for min_val or max_val (min_value < max_value)'  )
						return min_val if option else max_val


def     lowercase			(SCREAMING_SNAKE_CASE_		:				int ,			SCREAMING_SNAKE_CASE_		:				int  )   ->						int:
						return int((number_a + number_a) / 2  )


def     lowercase			(SCREAMING_SNAKE_CASE_		:				int ,			SCREAMING_SNAKE_CASE_		:				int ,			SCREAMING_SNAKE_CASE_		:				int  )   ->						None:
						assert (
						    isinstance(SCREAMING_SNAKE_CASE_ ,			SCREAMING_SNAKE_CASE_  ) and isinstance(SCREAMING_SNAKE_CASE_ ,			SCREAMING_SNAKE_CASE_  ) and isinstance(SCREAMING_SNAKE_CASE_ ,			SCREAMING_SNAKE_CASE_  )
						), 'argument values must be type of "int"'

						if lower > higher:
												raise ValueError('argument value for lower and higher must be(lower > higher)'  )

						if not lower < to_guess < higher:
												raise ValueError(
												    'guess value must be within the range of lower and higher value'  )

						def answer(SCREAMING_SNAKE_CASE_		:				int  ) -> str:
												if number > to_guess:
																		return "high"
												elif number < to_guess:
																		return "low"
												else:
																		return "same"

						print('started...'  )

						SCREAMING_SNAKE_CASE													=					lower
						SCREAMING_SNAKE_CASE													=					higher

						SCREAMING_SNAKE_CASE													=					[]

						while True:
												SCREAMING_SNAKE_CASE													=					get_avg(SCREAMING_SNAKE_CASE_ ,			SCREAMING_SNAKE_CASE_  )
												last_numbers.append(SCREAMING_SNAKE_CASE_  )

												if answer(SCREAMING_SNAKE_CASE_  ) == "low":
																		SCREAMING_SNAKE_CASE													=					number
												elif answer(SCREAMING_SNAKE_CASE_  ) == "high":
																		SCREAMING_SNAKE_CASE													=					number
												else:
																		break

						print(F'guess the number : {last_numbers[-1]}'  )
						print(F'details : {last_numbers!s}'  )


def     lowercase			()   ->						None:
						SCREAMING_SNAKE_CASE													=					int(input('Enter lower value : '  ).strip()  )
						SCREAMING_SNAKE_CASE													=					int(input('Enter high value : '  ).strip()  )
						SCREAMING_SNAKE_CASE													=					int(input('Enter value to guess : '  ).strip()  )
						guess_the_number(SCREAMING_SNAKE_CASE_ ,			SCREAMING_SNAKE_CASE_ ,			SCREAMING_SNAKE_CASE_  )


if __name__ == "__main__":
	main()






"""simple docstring"""




from math import isclose, sqrt


def     lowercase			(SCREAMING_SNAKE_CASE_		:				float ,			SCREAMING_SNAKE_CASE_		:				float ,			SCREAMING_SNAKE_CASE_		:				float  )   ->						tuple[float, float, float]:
						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(SCREAMING_SNAKE_CASE_ ,			SCREAMING_SNAKE_CASE_  ) else x_plus
						SCREAMING_SNAKE_CASE													=					point_y + outgoing_gradient * (next_x - point_x)

						return next_x, next_y, outgoing_gradient


def     lowercase			(SCREAMING_SNAKE_CASE_		:				float = 1.4 ,			SCREAMING_SNAKE_CASE_		:				float = -9.6  )   ->						int:
						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(SCREAMING_SNAKE_CASE_ ,			SCREAMING_SNAKE_CASE_ ,			SCREAMING_SNAKE_CASE_  )
												num_reflections += 1

						return num_reflections


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


