
"""simple docstring"""


from pathlib import Path

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






def  lowercase						(	lowerCAmelCase__	,lowerCAmelCase__	,lowerCAmelCase__	,lowerCAmelCase__	,lowerCAmelCase__						):
			lowerCamelCase_					=  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"""


import math






def  lowercase						(	lowerCAmelCase__						):
			lowerCamelCase_					=  [True] * n
			lowerCamelCase_					=  False
			lowerCamelCase_					=  False
			lowerCamelCase_					=  True

			for i in range(3	,int(n**0.5 + 1						)	,2						):
						lowerCamelCase_					=  i * 2
						while index < n:
									lowerCamelCase_					=  False
									lowerCamelCase_					=  index + i

			lowerCamelCase_					=  [2]

			for i in range(3	,lowerCAmelCase__	,2						):
						if is_prime[i]:
									primes.append(lowerCAmelCase__						)

			return primes






def  lowercase						(	lowerCAmelCase__ = 999_966_663_333						):
			lowerCamelCase_					=  math.floor(math.sqrt(lowerCAmelCase__						)						) + 100
			lowerCamelCase_					=  prime_sieve(lowerCAmelCase__						)

			lowerCamelCase_					=  0
			lowerCamelCase_					=  0
			lowerCamelCase_					=  primes[prime_index]

			while (last_prime**2) <= limit:
						lowerCamelCase_					=  primes[prime_index + 1]

						lowerCamelCase_					=  last_prime**2
						lowerCamelCase_					=  next_prime**2

						# Get numbers divisible by lps(current)
						lowerCamelCase_					=  lower_bound + last_prime
						while upper_bound > current <= limit:
									matches_sum += current
									current += last_prime

						# Reset the upper_bound
						while (upper_bound - next_prime) > limit:
									upper_bound -= next_prime

						# Add the numbers divisible by ups(current)
						lowerCamelCase_					=  upper_bound - next_prime
						while current > lower_bound:
									matches_sum += current
									current -= next_prime

						# Remove the numbers divisible by both ups and lps
						lowerCamelCase_					=  0
						while upper_bound > current <= limit:
									if current <= lower_bound:
												# Increment the current number
												current += last_prime * next_prime
												continue

									if current > limit:
												break

									# Remove twice since it was added by both ups and lps
									matches_sum -= current * 2

									# Increment the current number
									current += last_prime * next_prime

						# Setup for next pair
						lowerCamelCase_					=  next_prime
						prime_index += 1

			return matches_sum


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



