


from cva import destroyAllWindows, imread, imshow, waitKey







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


	lowerCamelCase_			:							Optional[Any]      =       img.shape[0], img.shape[1]

	def to_grayscale(lowerCAmelCase_      ,					lowerCAmelCase_      ,					lowerCAmelCase_):
		return 0.21_26 * red + 0.5_87 * green + 0.1_14 * blue

	def normalize(lowerCAmelCase_):
		return min(lowerCAmelCase_      ,					255)

	for i in range(lowerCAmelCase_):
		for j in range(lowerCAmelCase_):
			lowerCamelCase_			:							Optional[int]      =       int(to_grayscale(*img[i][j]))
			lowerCamelCase_			:							str      =       [
			    normalize(lowerCAmelCase_),
			    normalize(greyscale + factor),
			    normalize(greyscale + 2 * factor),
			]

	return img


if __name__ == "__main__":
							# read original image
							__magic_name__       					=      {
							    percentage: imread('''image_data/lena.jpg''', 1) for percentage in (1_0, 2_0, 3_0, 4_0)
							}

							for percentage, img in images.items():
														make_sepia(img, percentage)

							for percentage, img in images.items():
														imshow(f'''Original image with sepia (factor: {percentage})''', img)

							waitKey(0)
							destroyAllWindows()





__magic_name__       					=      {
    '''0''': 1,
    '''1''': 1,
    '''2''': 2,
    '''3''': 6,
    '''4''': 2_4,
    '''5''': 1_2_0,
    '''6''': 7_2_0,
    '''7''': 5_0_4_0,
    '''8''': 4_0_3_2_0,
    '''9''': 3_6_2_8_8_0,
}

__magic_name__       					=      {1_4_5: 1_4_5}

__magic_name__       					=      {
    1_4_5: 0,
    1_6_9: 3,
    3_6_3_0_1: 3,
    1_4_5_4: 3,
    8_7_1: 2,
    4_5_3_6_1: 2,
    8_7_2: 2,
}







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


	if n in CACHE_SUM_DIGIT_FACTORIALS:
		return CACHE_SUM_DIGIT_FACTORIALS[n]
	lowerCamelCase_			:							List[str]      =       sum(DIGIT_FACTORIALS[let] for let in str(lowerCAmelCase_))
	lowerCamelCase_			:							List[str]      =       ret
	return ret







def     __magic_name__  (      lowerCAmelCase_      ,					lowerCAmelCase_ = None):
	'''simple docstring'''


	lowerCamelCase_			:							List[str]      =       previous or set()
	if n in CHAIN_LENGTH_CACHE:
		return CHAIN_LENGTH_CACHE[n]
	lowerCamelCase_			:							str      =       sum_digit_factorials(lowerCAmelCase_)
	if next_number in previous:
		lowerCamelCase_			:							List[str]      =       0
		return 0
	else:
		previous.add(lowerCAmelCase_)
		lowerCamelCase_			:							List[Any]      =       1 + chain_length(lowerCAmelCase_      ,					lowerCAmelCase_)
		lowerCamelCase_			:							Optional[int]      =       ret
		return ret







def     __magic_name__  (      lowerCAmelCase_ = 60      ,					lowerCAmelCase_ = 100_0000):
	'''simple docstring'''


	return sum(1 for i in range(1      ,					lowerCAmelCase_) if chain_length(lowerCAmelCase_) == num_terms)


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

