





from pathlib import Path

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




def _a   (    SCREAMING_SNAKE_CASE__     :    Tuple					, SCREAMING_SNAKE_CASE__     :    int					, SCREAMING_SNAKE_CASE__     :    Any					, SCREAMING_SNAKE_CASE__     :    List[str]					, SCREAMING_SNAKE_CASE__     :    List[str]  )			->							np.ndarray:

							'''simple docstring'''






							SCREAMING_SNAKE_CASE__  :     str           =		cva.getAffineTransform(__snake_case					, __snake_case  )
							return cva.warpAffine(__snake_case					, __snake_case					, (rows, cols)  )


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

		# set different points to rotate image
		_lowerCamelCase   :							Optional[int]    				=   np.array([[5_0, 5_0], [2_0_0, 5_0], [5_0, 2_0_0]], np.floataa)
		_lowerCamelCase   :							List[str]    				=   np.array([[1_0, 1_0_0], [2_0_0, 5_0], [1_0_0, 2_5_0]], np.floataa)
		_lowerCamelCase   :							Optional[int]    				=   np.array([[5_0, 5_0], [1_5_0, 5_0], [1_2_0, 2_0_0]], np.floataa)
		_lowerCamelCase   :							List[str]    				=   np.array([[1_0, 1_0_0], [8_0, 5_0], [1_8_0, 2_5_0]], np.floataa)

		# add all rotated images in a list
		_lowerCamelCase   :							Dict    				=   [
		    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
		_lowerCamelCase   :							str    				=   plt.figure(1)
		_lowerCamelCase   :							Any    				=   ['''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 __future__ import annotations

from functools import lru_cache
from math import ceil

_a								=						100

_a								=						set(range(3, NUM_PRIMES, 2))
primes.add(2)
_a								=						42

for prime in range(3, ceil(NUM_PRIMES**0.5), 2):
				if prime not in primes:
								continue
				primes.difference_update(set(range(prime * prime, NUM_PRIMES, prime)))



@lru_cache(maxsize=1_00      )
def  lowerCamelCase__						(     __snake_case      )				->						set[int]:


					"""simple docstring"""





					if number_to_partition < 0:
										return set()
					elif number_to_partition == 0:
										return {1}

					_UpperCamelCase									=    set()
					_UpperCamelCase									=    42
					_UpperCamelCase									=    42

					for prime in primes:
										if prime > number_to_partition:
															continue
										for sub in partition(number_to_partition - prime      ):
															ret.add(sub * prime      )

					return ret



def  lowerCamelCase__						(     __snake_case = 50_00      )				->						int | None:


					"""simple docstring"""





					for number_to_partition in range(1,	__snake_case      ):
										if len(partition(__snake_case      )      ) > number_unique_partitions:
															return number_to_partition
					return None


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






