
'''simple docstring'''





from cva import COLOR_BGR2GRAY, cvtColor, imread, imshow, waitKey
from numpy import divide, inta, multiply, ravel, sort, zeros_like

def   A			(							A_				:       Tuple     ,				A_				:       int=3							):
						snake_case							:  Any			=     int(mask / 2							)
						# copy image size
						snake_case							:  Dict			=     zeros_like(A_							)
						for i in range(A_     ,				gray_img.shape[0] - bd							):
												for j in range(A_     ,				gray_img.shape[1] - bd							):
																		# get mask according with mask
																		snake_case							:  Optional[Any]			=     ravel(gray_img[i - bd : i + bd + 1, j - bd : j + bd + 1]							)
																		# calculate mask median
																		snake_case							:  Dict			=     sort(A_							)[inta(divide((multiply(A_     ,				A_							))     ,				2							) + 1							)]
																		snake_case							:  Union[str, Any]			=     median
						return median_img


if __name__ == "__main__":
						# read original image
						UpperCAmelCase            = imread("../image_data/lena.jpg")
						# turn image in gray scale value
						UpperCAmelCase            = cvtColor(img, COLOR_BGR2GRAY)

						# get values with two different mask size
						UpperCAmelCase            = median_filter(gray, 3)
						UpperCAmelCase            = median_filter(gray, 5)

						# show result images
						imshow("median filter with 3x3 mask", medianaxa)
						imshow("median filter with 5x5 mask", medianaxa)
						waitKey(0)


"""simple docstring"""
import math
from collections.abc import Generator





def  lowerCAmelCase__     (      _UpperCamelCase							:					int       )       ->					Generator[int, None, None]:





						"""simple docstring"""






						snake_case             =      (i for i in range(1			,      (max_n + 1)       ))
						for i in (n for n in numbers if n > 1):
												for j in range(2			,      _UpperCamelCase       ):
																		if (i % j) == 0:
																								break
												else:
																		yield i





def  lowerCAmelCase__     (      _UpperCamelCase							:					int       )       ->					Generator[int, None, None]:





						"""simple docstring"""






						snake_case             =      (i for i in range(1			,      (max_n + 1)       ))
						for i in (n for n in numbers if n > 1):
												# only need to check for factors up to sqrt(i)
												snake_case             =      int(math.sqrt(_UpperCamelCase       )       ) + 1
												for j in range(2			,      _UpperCamelCase       ):
																		if (i % j) == 0:
																								break
												else:
																		yield i





def  lowerCAmelCase__     (      _UpperCamelCase							:					int       )       ->					Generator[int, None, None]:





						"""simple docstring"""






						snake_case             =      (i for i in range(1			,      (max_n + 1)			,      2       ))
						# It's useless to test even numbers as they will not be prime
						if max_n > 2:
												yield 2  # Because 2 will not be tested, it's necessary to yield it now
						for i in (n for n in numbers if n > 1):
												snake_case             =      int(math.sqrt(_UpperCamelCase       )       ) + 1
												for j in range(3			,      _UpperCamelCase			,      2       ):
																		# As we removed the even numbers, we don't need them now
																		if (i % j) == 0:
																								break
												else:
																		yield i





def  lowerCAmelCase__     (      )       ->					List[str]:





						"""simple docstring"""






						from timeit import timeit

						snake_case             =      'from __main__ import slow_primes, primes, fast_primes'
						print(timeit('slow_primes(1_000_000_000_000)'			,      setup=_UpperCamelCase			,      number=1_0_0_0_0_0_0       )       )
						print(timeit('primes(1_000_000_000_000)'			,      setup=_UpperCamelCase			,      number=1_0_0_0_0_0_0       )       )
						print(timeit('fast_primes(1_000_000_000_000)'			,      setup=_UpperCamelCase			,      number=1_0_0_0_0_0_0       )       )


if __name__ == "__main__":
					SCREAMING_SNAKE_CASE__       =	int(input("Calculate primes up to:\n>> ").strip())
					for ret in primes(number):
										print(ret)
					benchmark()


