






'''simple docstring'''


from pathlib import Path

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







def 	__magic_name__( _A						,      _A						,      _A						,      _A						,      _A					):
						'''simple docstring'''





						UpperCamelCase__         = cva.getAffineTransform(__snake_case						,      __snake_case					)
						return cva.warpAffine(__snake_case						,      __snake_case						,      (rows, cols)					)


if __name__ == "__main__":
					# read original image
					lowerCamelCase_				: Tuple    	=							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_				: Any    	=							gray_img.shape

					# set different points to rotate image
					lowerCamelCase_				: Optional[Any]    	=							np.array([[50, 50], [200, 50], [50, 200]], np.floataa)
					lowerCamelCase_				: Optional[Any]    	=							np.array([[10, 100], [200, 50], [100, 250]], np.floataa)
					lowerCamelCase_				: Optional[Any]    	=							np.array([[50, 50], [150, 50], [120, 200]], np.floataa)
					lowerCamelCase_				: Optional[int]    	=							np.array([[10, 100], [80, 50], [180, 250]], 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_				: List[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=0.0_5, right=1.0, top=0.9_5)
					plt.show()











'''simple docstring'''


from collections import defaultdict







def 	__magic_name__( _A					):
						'''simple docstring'''





						UpperCamelCase__         = 1
						UpperCamelCase__         = True
						for v in tree[start]:
												if v not in visited:
																		ret += dfs(_A					)
						if ret % 2 == 0:
												cuts.append(_A					)
						return ret







def 	__magic_name__( ):
						'''simple docstring'''





						dfs(1					)


if __name__ == "__main__":
					lowerCamelCase_	,     lowerCamelCase_				: int    	=							10, 9
					lowerCamelCase_				: int    	=							defaultdict(list)
					lowerCamelCase_				: dict[int, bool]    	=							{}
					lowerCamelCase_				: list[int]    	=							[]
					lowerCamelCase_				: Union[str, Any]    	=							0
					lowerCamelCase_				: Tuple    	=							[(2, 1), (3, 1), (4, 3), (5, 2), (6, 1), (7, 2), (8, 6), (9, 8), (10, 8)]
					for u, v in edges:
										tree[u].append(v)
										tree[v].append(u)
					even_tree()
					print(len(cuts) - 1)
