
"""simple docstring"""





from pathlib import Path

import cva
import numpy as np
from matplotlib import pyplot as plt



def 						_lowerCAmelCase				(				UpperCamelCase_  ,				UpperCamelCase_  ,				UpperCamelCase_  ,				UpperCamelCase_  ,				UpperCamelCase_				):
		__SCREAMING_SNAKE_CASE            = cva.getAffineTransform(UpperCamelCase_  ,				UpperCamelCase_				)
		return cva.warpAffine(UpperCamelCase_  ,				UpperCamelCase_  ,				(rows, cols)				)


if __name__ == "__main__":
							# read original image
							__magic_name__       =			cva.imread(
							    str(Path(__file__).resolve().parent.parent / "image_data" / "lena.jpg")
							)
							# turn image in gray scale value
							__magic_name__       =			cva.cvtColor(image, cva.COLOR_BGR2GRAY)
							# get image shape
							__magic_name__,							__magic_name__       =			gray_img.shape

							# set different points to rotate image
							__magic_name__       =			np.array([[50, 50], [200, 50], [50, 200]], np.floataa)
							__magic_name__       =			np.array([[10, 100], [200, 50], [100, 250]], np.floataa)
							__magic_name__       =			np.array([[50, 50], [150, 50], [120, 200]], np.floataa)
							__magic_name__       =			np.array([[10, 100], [80, 50], [180, 250]], np.floataa)

							# add all rotated images in a list
							__magic_name__       =			[
							    gray_img,
							    get_rotation(gray_img, ptsa, ptsa, img_rows, img_cols),
							    get_rotation(gray_img, ptsa, ptsa, img_rows, img_cols),
							    get_rotation(gray_img, ptsa, ptsa, img_rows, img_cols),
							]

							# plot different image rotations
							__magic_name__       =			plt.figure(1)
							__magic_name__       =			["Original", "Rotation 1", "Rotation 2", "Rotation 3"]
							for i, image in enumerate(images):
														plt.subplot(2, 2, i + 1), plt.imshow(image, "gray")
														plt.title(titles[i])
														plt.axis("off")
														plt.subplots_adjust(left=0.0, bottom=0.05, right=1.0, top=0.95)
							plt.show()






"""simple docstring"""





from math import isqrt, loga



def 						_lowerCAmelCase				(				UpperCamelCase_				):
		__SCREAMING_SNAKE_CASE            = [True] * max_number
		for i in range(2  ,				isqrt(max_number - 1				) + 1				):
				if is_prime[i]:
						for j in range(i**2  ,				UpperCamelCase_  ,				UpperCamelCase_				):
								__SCREAMING_SNAKE_CASE            = False

		return [i for i in range(2  ,				UpperCamelCase_				) if is_prime[i]]



def 						_lowerCAmelCase				(				UpperCamelCase_ = 80_0800  ,				UpperCamelCase_ = 80_0800				):
		__SCREAMING_SNAKE_CASE            = degree * loga(UpperCamelCase_				)
		__SCREAMING_SNAKE_CASE            = int(UpperCamelCase_				)
		__SCREAMING_SNAKE_CASE            = calculate_prime_numbers(UpperCamelCase_				)

		__SCREAMING_SNAKE_CASE            = 0
		__SCREAMING_SNAKE_CASE            = 0
		__SCREAMING_SNAKE_CASE            = len(UpperCamelCase_				) - 1
		while left < right:
				while (
				    prime_numbers[right] * loga(prime_numbers[left]				)
				    + prime_numbers[left] * loga(prime_numbers[right]				)
				    > upper_bound
				):
						right -= 1
				hybrid_integers_count += right - left
				left += 1

		return hybrid_integers_count


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




