
"""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()











def        SCREAMING_SNAKE_CASE      (       _UpperCAmelCase = 100_0000 )			->     int:
    lowerCamelCase__    :      int					 =		limit + 1
    lowerCamelCase__    :      Optional[Any]					 =		[0] * limit
    for first_term in range(1						,	_UpperCAmelCase ):
        for n in range(_UpperCAmelCase						,	_UpperCAmelCase						,	_UpperCAmelCase ):
            lowerCamelCase__    :      Optional[Any]					 =		first_term + n / first_term
            if common_difference % 4:  # d must be divisble by 4
                continue
            else:
                common_difference /= 4
                if (
                    first_term > common_difference
                    and first_term < 4 * common_difference
                ):  # since x,y,z are positive integers
                    frequency[n] += 1  # so z>0 and a>d ,also 4d<a

    lowerCamelCase__    :      List[str]					 =		sum(1 for x in frequency[1:limit] if x == 10 )

    return count


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





