



"""simple docstring"""
from __future__ import annotations

import matplotlib.pyplot as plt  # type: ignore
import numpy

# initial triangle of Koch snowflake
SCREAMING_SNAKE_CASE_				= numpy.array([0, 0])
SCREAMING_SNAKE_CASE_				= numpy.array([0.5, 0.8660254])
SCREAMING_SNAKE_CASE_				= numpy.array([1, 0])
SCREAMING_SNAKE_CASE_				= [VECTOR_1, VECTOR_2, VECTOR_3, VECTOR_1]



def        lowerCAmelCase_						(							SCREAMING_SNAKE_CASE__, SCREAMING_SNAKE_CASE__	)			->      list[numpy.ndarray]:
		a_     :      Union[str, Any] 						=     initial_vectors
		for _ in range(SCREAMING_SNAKE_CASE__	):
				a_     :      int 						=     iteration_step(SCREAMING_SNAKE_CASE__	)
		return vectors



def        lowerCAmelCase_						(							SCREAMING_SNAKE_CASE__	)			->      list[numpy.ndarray]:
		a_     :      Dict 						=     []
		for i, start_vector in enumerate(vectors[:-1]	):
				a_     :      int 						=     vectors[i + 1]
				new_vectors.append(SCREAMING_SNAKE_CASE__	)
				a_     :      int 						=     end_vector - start_vector
				new_vectors.append(start_vector + difference_vector / 3	)
				new_vectors.append(
				    start_vector + difference_vector / 3 + rotate(difference_vector / 3, 60	)	)
				new_vectors.append(start_vector + difference_vector * 2 / 3	)
		new_vectors.append(vectors[-1]	)
		return new_vectors



def        lowerCAmelCase_						(							SCREAMING_SNAKE_CASE__, SCREAMING_SNAKE_CASE__	)			->      numpy.ndarray:
		a_     :      str 						=     numpy.radians(SCREAMING_SNAKE_CASE__	)
		a_						,				a_     :      List[str] 						=     numpy.cos(SCREAMING_SNAKE_CASE__	), numpy.sin(SCREAMING_SNAKE_CASE__	)
		a_     :      Any 						=     numpy.array(((c, -s), (s, c))	)
		return numpy.dot(SCREAMING_SNAKE_CASE__, SCREAMING_SNAKE_CASE__	)



def        lowerCAmelCase_						(							SCREAMING_SNAKE_CASE__	)			->      None:
		a_     :      Optional[Any] 						=     plt.gca()
		axes.set_aspect("equal"	)

		# matplotlib.pyplot.plot takes a list of all x-coordinates and a list of all
		# y-coordinates as inputs, which are constructed from the vector-list using
		# zip()
		a_						,				a_     :      List[Any] 						=     zip(*SCREAMING_SNAKE_CASE__	)
		plt.plot(SCREAMING_SNAKE_CASE__, SCREAMING_SNAKE_CASE__	)
		plt.show()


if __name__ == "__main__":
					import doctest

					doctest.testmod()

					SCREAMING_SNAKE_CASE_				= iterate(INITIAL_VECTORS, 5)
					plot(processed_vectors)




"""simple docstring"""
def        lowerCAmelCase_						(							SCREAMING_SNAKE_CASE__ = 10, SCREAMING_SNAKE_CASE__ = 1_000, SCREAMING_SNAKE_CASE__ = 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        lowerCAmelCase_						(							SCREAMING_SNAKE_CASE__, SCREAMING_SNAKE_CASE__	)			->      int:
		return int((number_a + number_a) / 2	)



def        lowerCAmelCase_						(							SCREAMING_SNAKE_CASE__, SCREAMING_SNAKE_CASE__, SCREAMING_SNAKE_CASE__	)			->      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__	) -> str:
				if number > to_guess:
						return "high"
				elif number < to_guess:
						return "low"
				else:
						return "same"

		print("started..."	)

		a_     :      List[str] 						=     lower
		a_     :      Dict 						=     higher

		a_     :      str 						=     []

		while True:
				a_     :      List[str] 						=     get_avg(SCREAMING_SNAKE_CASE__, SCREAMING_SNAKE_CASE__	)
				last_numbers.append(SCREAMING_SNAKE_CASE__	)

				if answer(SCREAMING_SNAKE_CASE__	) == "low":
						a_     :      Optional[Any] 						=     number
				elif answer(SCREAMING_SNAKE_CASE__	) == "high":
						a_     :      Union[str, Any] 						=     number
				else:
						break

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



def        lowerCAmelCase_						(							)			->      None:
		a_     :      str 						=     int(input("Enter lower value : "	).strip()	)
		a_     :      Dict 						=     int(input("Enter high value : "	).strip()	)
		a_     :      Optional[Any] 						=     int(input("Enter value to guess : "	).strip()	)
		guess_the_number(SCREAMING_SNAKE_CASE__, SCREAMING_SNAKE_CASE__, SCREAMING_SNAKE_CASE__	)


if __name__ == "__main__":
					main()