




"""simple docstring"""
def 						UpperCAmelCase				(			A__:    Dict     )  ->     List[Any]:
			__lowerCamelCase					:	Tuple	       =				0
			__lowerCamelCase					:	Union[str, Any]	       =				len(A__     )

			for i in range(n - 1     ):
						for j in range(i + 1							,				A__     ):
									if arr[i] > arr[j]:
												num_inversions += 1

			return num_inversions





def 						UpperCAmelCase				(			A__:    Union[str, Any]     )  ->     Union[str, Any]:
			if len(A__     ) <= 1:
						return arr, 0
			__lowerCamelCase					:	Optional[Any]	       =				len(A__     ) // 2
			__lowerCamelCase					:	List[Any]	       =				arr[0:mid]
			__lowerCamelCase					:	Tuple	       =				arr[mid:]

			__lowerCamelCase					:	str	       =				count_inversions_recursive(A__     )
			__lowerCamelCase					:	str	       =				count_inversions_recursive(A__     )
			__lowerCamelCase					:	Any	       =				_count_cross_inversions(A__							,				A__     )

			__lowerCamelCase					:	List[str]	       =				inversion_p + inversions_q + cross_inversions
			return c, num_inversions





def 						UpperCAmelCase				(			A__:    Optional[int]							,				A__:    str     )  ->     Optional[int]:
			__lowerCamelCase					:	Optional[int]	       =				[]
			__lowerCamelCase					:	Union[str, Any]	       =				0
			while i < len(A__     ) and j < len(A__     ):
						if p[i] > q[j]:
									# if P[1] > Q[j], then P[k] > Q[k] for all  i < k <= len(P)
									# These are all inversions. The claim emerges from the
									# property that P is sorted.
									num_inversion += len(A__     ) - i
									r.append(q[j]     )
									j += 1
						else:
									r.append(p[i]     )
									i += 1

			if i < len(A__     ):
						r.extend(p[i:]     )
			else:
						r.extend(q[j:]     )

			return r, num_inversion





def 						UpperCAmelCase				(			)  ->     List[str]:
			__lowerCamelCase					:	str	       =				[10, 2, 1, 5, 5, 2, 11]

			# this arr has 8 inversions:
			# (10, 2), (10, 1), (10, 5), (10, 5), (10, 2), (2, 1), (5, 2), (5, 2)

			__lowerCamelCase					:	Tuple	       =				count_inversions_bf(A__     )
			__lowerCamelCase					:	Union[str, Any]	       =				count_inversions_recursive(A__     )

			assert num_inversions_bf == num_inversions_recursive == 8

			print('number of inversions = '							,				A__     )

			# testing an array with zero inversion (a sorted arr_1)

			arr_a.sort()
			__lowerCamelCase					:	str	       =				count_inversions_bf(A__     )
			__lowerCamelCase					:	str	       =				count_inversions_recursive(A__     )

			assert num_inversions_bf == num_inversions_recursive == 0
			print('number of inversions = '							,				A__     )

			# an empty list should also have zero inversions
			__lowerCamelCase					:	Any	       =				[]
			__lowerCamelCase					:	List[str]	       =				count_inversions_bf(A__     )
			__lowerCamelCase					:	Tuple	       =				count_inversions_recursive(A__     )

			assert num_inversions_bf == num_inversions_recursive == 0
			print('number of inversions = '							,				A__     )


if __name__ == "__main__":
					main()









"""simple docstring"""
from cva import destroyAllWindows, imread, imshow, waitKey





def 						UpperCAmelCase				(			A__:    Tuple     )  ->     Union[str, Any]:
			# getting number of pixels in the image
			__lowerCamelCase       ,      __lowerCamelCase					:	Optional[Any]	       =				img.shape[0], img.shape[1]

			# converting each pixel's color to its negative
			for i in range(A__     ):
						for j in range(A__     ):
									__lowerCamelCase					:	Optional[Any]	       =				[255, 255, 255] - img[i][j]

			return img


if __name__ == "__main__":
					# read original image
					a_				:    Dict										=     imread('''image_data/lena.jpg''', 1)

					# convert to its negative
					a_				:    str										=     convert_to_negative(img)

					# show result image
					imshow('''negative of original image''', img)
					waitKey(0)
					destroyAllWindows()



