



'''simple docstring'''





from pathlib import Path

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





def 		__snake_case(							_lowerCAmelCase	,  _lowerCAmelCase	,  _lowerCAmelCase	,  _lowerCAmelCase	,  _lowerCAmelCase						)						->					np.ndarray:
      snake_case__    :       Optional[Any]       		= cva.getAffineTransform(_lowerCAmelCase	,  _lowerCAmelCase						)
      return cva.warpAffine(_lowerCAmelCase	,  _lowerCAmelCase	,  (rows, cols)						)


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

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

       # add all rotated images in a list
       __a  			=						[
           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
       __a  			=						plt.figure(1)
       __a  			=						["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'''





def 		__snake_case(							)						->					Optional[Any]:
      for n in range(1	,  1_000_000						):
            yield n * (n + 1) // 2





def 		__snake_case(							_lowerCAmelCase						)						->					str:
      snake_case__    :       Optional[int]       		= 1
      snake_case__    :       List[Any]       		= 2
      while i * i <= n:
            snake_case__    :       Dict       		= 0
            while n % i == 0:
                  n //= i
                  multiplicity += 1
            divisors_count *= multiplicity + 1
            i += 1
      if n > 1:
            divisors_count *= 2
      return divisors_count





def 		__snake_case(							)						->					List[str]:
      return next(i for i in triangle_number_generator() if count_divisors(_lowerCAmelCase						) > 500						)


if __name__ == "__main__":
       print(solution())
