





from typing import Dict, List, Optional, Union

import numpy as np

from ...image_processing_utils import BaseImageProcessor, BatchFeature, get_size_dict
from ...image_transforms import (
    center_crop,
    convert_to_rgb,
    get_resize_output_image_size,
    normalize,
    rescale,
    resize,
    to_channel_dimension_format,
)
from ...image_utils import (
    OPENAI_CLIP_MEAN,
    OPENAI_CLIP_STD,
    ChannelDimension,
    ImageInput,
    PILImageResampling,
    make_list_of_images,
    to_numpy_array,
    valid_images,
)
from ...utils import TensorType, is_vision_available, logging


_a						=   logging.get_logger(__name__)


if is_vision_available():
			import PIL






class       __A					(					lowerCAmelCase				):

			'''simple docstring'''







			lowerCAmelCase_							  =		["""pixel_values"""]





			def __init__(					self ,						__lowerCAmelCase = True ,						__lowerCAmelCase = None ,						__lowerCAmelCase = PILImageResampling.BICUBIC ,						__lowerCAmelCase = True ,						__lowerCAmelCase = None ,						__lowerCAmelCase = True ,						__lowerCAmelCase = 1 / 2_5_5 ,						__lowerCAmelCase = True ,						__lowerCAmelCase = None ,						__lowerCAmelCase = None ,						__lowerCAmelCase = True ,						**__lowerCAmelCase ,						):



				'''simple docstring'''







				super().__init__(**__lowerCAmelCase							)
				lowerCamelCase__              =	size if size is not None else {'''shortest_edge''': 2_2_4}
				lowerCamelCase__              =	get_size_dict(__lowerCAmelCase ,						default_to_square=__lowerCAmelCase							)
				lowerCamelCase__              =	crop_size if crop_size is not None else {'''height''': 2_2_4, '''width''': 2_2_4}
				lowerCamelCase__              =	get_size_dict(__lowerCAmelCase ,						default_to_square=__lowerCAmelCase ,						param_name='''crop_size'''							)

				lowerCamelCase__              =	do_resize
				lowerCamelCase__              =	size
				lowerCamelCase__              =	resample
				lowerCamelCase__              =	do_center_crop
				lowerCamelCase__              =	crop_size
				lowerCamelCase__              =	do_rescale
				lowerCamelCase__              =	rescale_factor
				lowerCamelCase__              =	do_normalize
				lowerCamelCase__              =	image_mean if image_mean is not None else OPENAI_CLIP_MEAN
				lowerCamelCase__              =	image_std if image_std is not None else OPENAI_CLIP_STD
				lowerCamelCase__              =	do_convert_rgb





			def 	__lowerCamelCase       (					self ,						__lowerCAmelCase ,						__lowerCAmelCase ,						__lowerCAmelCase = PILImageResampling.BICUBIC ,						__lowerCAmelCase = None ,						**__lowerCAmelCase ,						):



				'''simple docstring'''







				lowerCamelCase__              =	get_size_dict(__lowerCAmelCase ,						default_to_square=__lowerCAmelCase							)
				if "shortest_edge" not in size:
					raise ValueError(F'The `size` parameter must contain the key `shortest_edge`. Got {size.keys()}'							)
				lowerCamelCase__              =	get_resize_output_image_size(__lowerCAmelCase ,						size=size['''shortest_edge'''] ,						default_to_square=__lowerCAmelCase							)
				return resize(__lowerCAmelCase ,						size=__lowerCAmelCase ,						resample=__lowerCAmelCase ,						data_format=__lowerCAmelCase ,						**__lowerCAmelCase							)





			def 	__lowerCamelCase       (					self ,						__lowerCAmelCase ,						__lowerCAmelCase ,						__lowerCAmelCase = None ,						**__lowerCAmelCase ,						):



				'''simple docstring'''







				lowerCamelCase__              =	get_size_dict(__lowerCAmelCase							)
				if "height" not in size or "width" not in size:
					raise ValueError(F'The `size` parameter must contain the keys (height, width). Got {size.keys()}'							)
				return center_crop(__lowerCAmelCase ,						size=(size['''height'''], size['''width''']) ,						data_format=__lowerCAmelCase ,						**__lowerCAmelCase							)





			def 	__lowerCamelCase       (					self ,						__lowerCAmelCase ,						__lowerCAmelCase ,						__lowerCAmelCase = None ,						**__lowerCAmelCase ,						):



				'''simple docstring'''







				return rescale(__lowerCAmelCase ,						scale=__lowerCAmelCase ,						data_format=__lowerCAmelCase ,						**__lowerCAmelCase							)





			def 	__lowerCamelCase       (					self ,						__lowerCAmelCase ,						__lowerCAmelCase ,						__lowerCAmelCase ,						__lowerCAmelCase = None ,						**__lowerCAmelCase ,						):



				'''simple docstring'''







				return normalize(__lowerCAmelCase ,						mean=__lowerCAmelCase ,						std=__lowerCAmelCase ,						data_format=__lowerCAmelCase ,						**__lowerCAmelCase							)





			def 	__lowerCamelCase       (					self ,						__lowerCAmelCase ,						__lowerCAmelCase = None ,						__lowerCAmelCase = None ,						__lowerCAmelCase = None ,						__lowerCAmelCase = None ,						__lowerCAmelCase = None ,						__lowerCAmelCase = None ,						__lowerCAmelCase = None ,						__lowerCAmelCase = None ,						__lowerCAmelCase = None ,						__lowerCAmelCase = None ,						__lowerCAmelCase = None ,						__lowerCAmelCase = None ,						__lowerCAmelCase = ChannelDimension.FIRST ,						**__lowerCAmelCase ,						):



				'''simple docstring'''







				lowerCamelCase__              =	do_resize if do_resize is not None else self.do_resize
				lowerCamelCase__              =	size if size is not None else self.size
				lowerCamelCase__              =	get_size_dict(__lowerCAmelCase ,						param_name='''size''' ,						default_to_square=__lowerCAmelCase							)
				lowerCamelCase__              =	resample if resample is not None else self.resample
				lowerCamelCase__              =	do_center_crop if do_center_crop is not None else self.do_center_crop
				lowerCamelCase__              =	crop_size if crop_size is not None else self.crop_size
				lowerCamelCase__              =	get_size_dict(__lowerCAmelCase ,						param_name='''crop_size''' ,						default_to_square=__lowerCAmelCase							)
				lowerCamelCase__              =	do_rescale if do_rescale is not None else self.do_rescale
				lowerCamelCase__              =	rescale_factor if rescale_factor is not None else self.rescale_factor
				lowerCamelCase__              =	do_normalize if do_normalize is not None else self.do_normalize
				lowerCamelCase__              =	image_mean if image_mean is not None else self.image_mean
				lowerCamelCase__              =	image_std if image_std is not None else self.image_std
				lowerCamelCase__              =	do_convert_rgb if do_convert_rgb is not None else self.do_convert_rgb

				lowerCamelCase__              =	make_list_of_images(__lowerCAmelCase							)

				if not valid_images(__lowerCAmelCase							):
					raise ValueError(
					    '''Invalid image type. Must be of type PIL.Image.Image, numpy.ndarray, '''
					    '''torch.Tensor, tf.Tensor or jax.ndarray.'''							)

				if do_resize and size is None:
					raise ValueError('''Size must be specified if do_resize is True.'''							)

				if do_center_crop and crop_size is None:
					raise ValueError('''Crop size must be specified if do_center_crop is True.'''							)

				if do_rescale and rescale_factor is None:
					raise ValueError('''Rescale factor must be specified if do_rescale is True.'''							)

				if do_normalize and (image_mean is None or image_std is None):
					raise ValueError('''Image mean and std must be specified if do_normalize is True.'''							)

				# PIL RGBA images are converted to RGB
				if do_convert_rgb:
					lowerCamelCase__              =	[convert_to_rgb(__lowerCAmelCase							) for image in images]

				# All transformations expect numpy arrays.
				lowerCamelCase__              =	[to_numpy_array(__lowerCAmelCase							) for image in images]

				if do_resize:
					lowerCamelCase__              =	[self.resize(image=__lowerCAmelCase ,						size=__lowerCAmelCase ,						resample=__lowerCAmelCase							) for image in images]

				if do_center_crop:
					lowerCamelCase__              =	[self.center_crop(image=__lowerCAmelCase ,						size=__lowerCAmelCase							) for image in images]

				if do_rescale:
					lowerCamelCase__              =	[self.rescale(image=__lowerCAmelCase ,						scale=__lowerCAmelCase							) for image in images]

				if do_normalize:
					lowerCamelCase__              =	[self.normalize(image=__lowerCAmelCase ,						mean=__lowerCAmelCase ,						std=__lowerCAmelCase							) for image in images]

				lowerCamelCase__              =	[to_channel_dimension_format(__lowerCAmelCase ,						__lowerCAmelCase							) for image in images]

				lowerCamelCase__              =	{'''pixel_values''': images}
				return BatchFeature(data=__lowerCAmelCase ,						tensor_type=__lowerCAmelCase							)










from math import sqrt





def lowerCAmelCase__(__snake_case							)       ->   bool:







	'''simple docstring'''







	assert isinstance(__snake_case ,__snake_case							) and (
	    number >= 0
	), "'number' must been an int and positive"

	lowerCamelCase__              =	True

	# 0 and 1 are none primes.
	if number <= 1:
		lowerCamelCase__              =	False

	for divisor in range(2 ,int(round(sqrt(__snake_case							)							)							) + 1							):
		# if 'number' divisible by 'divisor' then sets 'status'
		# of false and break up the loop.
		if number % divisor == 0:
			lowerCamelCase__              =	False
			break

    # precondition
	assert isinstance(__snake_case ,__snake_case							), "'status' must been from type bool"

	return status





def lowerCAmelCase__(__snake_case							)       ->   Any:







	'''simple docstring'''







	assert isinstance(__snake_case ,__snake_case							) and (n > 2), "'N' must been an int and > 2"

	# beginList: contains all natural numbers from 2 up to N
	lowerCamelCase__              =	list(range(2 ,n + 1							)							)

	lowerCamelCase__              =	[]  # this list will be returns.

	# actual sieve of erathostenes
	for i in range(len(__snake_case							)							):
		for j in range(i + 1 ,len(__snake_case							)							):
			if (begin_list[i] != 0) and (begin_list[j] % begin_list[i] == 0):
				lowerCamelCase__              =	0

    # filters actual prime numbers.
	lowerCamelCase__              =	[x for x in begin_list if x != 0]

	# precondition
	assert isinstance(__snake_case ,__snake_case							), "'ans' must been from type list"

	return ans





def lowerCAmelCase__(__snake_case							)       ->   Optional[Any]:







	'''simple docstring'''







	assert isinstance(__snake_case ,__snake_case							) and (n > 2), "'N' must been an int and > 2"

	lowerCamelCase__              =	[]

	# iterates over all numbers between 2 up to N+1
	# if a number is prime then appends to list 'ans'
	for number in range(2 ,n + 1							):
		if is_prime(__snake_case							):
			ans.append(__snake_case							)

    # precondition
	assert isinstance(__snake_case ,__snake_case							), "'ans' must been from type list"

	return ans





def lowerCAmelCase__(__snake_case							)       ->   List[str]:







	'''simple docstring'''







	assert isinstance(__snake_case ,__snake_case							) and number >= 0, "'number' must been an int and >= 0"

	lowerCamelCase__              =	[]  # this list will be returns of the function.

	# potential prime number factors.

	lowerCamelCase__              =	2

	lowerCamelCase__              =	number

	if number == 0 or number == 1:
		ans.append(__snake_case							)

	# if 'number' not prime then builds the prime factorization of 'number'
	elif not is_prime(__snake_case							):
		while quotient != 1:
			if is_prime(__snake_case							) and (quotient % factor == 0):
				ans.append(__snake_case							)
				quotient /= factor
			else:
				factor += 1

	else:
		ans.append(__snake_case							)

	# precondition
	assert isinstance(__snake_case ,__snake_case							), "'ans' must been from type list"

	return ans





def lowerCAmelCase__(__snake_case							)       ->   List[Any]:







	'''simple docstring'''







	assert isinstance(__snake_case ,__snake_case							) and (
	    number >= 0
	), "'number' bust been an int and >= 0"

	lowerCamelCase__              =	0

	# prime factorization of 'number'
	lowerCamelCase__              =	prime_factorization(__snake_case							)

	lowerCamelCase__              =	max(__snake_case							)

	# precondition
	assert isinstance(__snake_case ,__snake_case							), "'ans' must been from type int"

	return ans





def lowerCAmelCase__(__snake_case							)       ->   Dict:







	'''simple docstring'''







	assert isinstance(__snake_case ,__snake_case							) and (
	    number >= 0
	), "'number' bust been an int and >= 0"

	lowerCamelCase__              =	0

	# prime factorization of 'number'
	lowerCamelCase__              =	prime_factorization(__snake_case							)

	lowerCamelCase__              =	min(__snake_case							)

	# precondition
	assert isinstance(__snake_case ,__snake_case							), "'ans' must been from type int"

	return ans





def lowerCAmelCase__(__snake_case							)       ->   List[Any]:







	'''simple docstring'''







	assert isinstance(__snake_case ,__snake_case							), "'number' must been an int"
	assert isinstance(number % 2 == 0 ,__snake_case							), "compare bust been from type bool"

	return number % 2 == 0





def lowerCAmelCase__(__snake_case							)       ->   List[str]:







	'''simple docstring'''







	assert isinstance(__snake_case ,__snake_case							), "'number' must been an int"
	assert isinstance(number % 2 != 0 ,__snake_case							), "compare bust been from type bool"

	return number % 2 != 0





def lowerCAmelCase__(__snake_case							)       ->   List[Any]:







	'''simple docstring'''







	assert (
	    isinstance(__snake_case ,__snake_case							) and (number > 2) and is_even(__snake_case							)
	), "'number' must been an int, even and > 2"

	lowerCamelCase__              =	[]  # this list will returned

	# creates a list of prime numbers between 2 up to 'number'
	lowerCamelCase__              =	get_prime_numbers(__snake_case							)
	lowerCamelCase__              =	len(__snake_case							)

	# run variable for while-loops.
	lowerCamelCase__              =	0
	lowerCamelCase__              =	None

	# exit variable. for break up the loops
	lowerCamelCase__              =	True

	while i < len_pn and loop:
		lowerCamelCase__              =	i + 1

		while j < len_pn and loop:
			if prime_numbers[i] + prime_numbers[j] == number:
				lowerCamelCase__              =	False
				ans.append(prime_numbers[i]							)
				ans.append(prime_numbers[j]							)

			j += 1

		i += 1

	# precondition
	assert (
	    isinstance(__snake_case ,__snake_case							)
	    and (len(__snake_case							) == 2)
	    and (ans[0] + ans[1] == number)
	    and is_prime(ans[0]							)
	    and is_prime(ans[1]							)
	), "'ans' must contains two primes. And sum of elements must been eq 'number'"

	return ans





def lowerCAmelCase__(__snake_case ,__snake_case							)       ->   str:







	'''simple docstring'''







	assert (
	    isinstance(__snake_case ,__snake_case							)
	    and isinstance(__snake_case ,__snake_case							)
	    and (numbera >= 0)
	    and (numbera >= 0)
	), "'number1' and 'number2' must been positive integer."

	lowerCamelCase__              =	0

	while numbera != 0:
		lowerCamelCase__              =	numbera % numbera
		lowerCamelCase__              =	numbera
		lowerCamelCase__              =	rest

	# precondition
	assert isinstance(__snake_case ,__snake_case							) and (
	    numbera >= 0
	), "'number' must been from type int and positive"

	return numbera





def lowerCAmelCase__(__snake_case ,__snake_case							)       ->   Any:







	'''simple docstring'''







	assert (
	    isinstance(__snake_case ,__snake_case							)
	    and isinstance(__snake_case ,__snake_case							)
	    and (numbera >= 1)
	    and (numbera >= 1)
	), "'number1' and 'number2' must been positive integer."

	lowerCamelCase__              =	1  # actual answer that will be return.

	# for kgV (x,1)
	if numbera > 1 and numbera > 1:
		# builds the prime factorization of 'number1' and 'number2'
		lowerCamelCase__              =	prime_factorization(__snake_case							)
		lowerCamelCase__              =	prime_factorization(__snake_case							)

	elif numbera == 1 or numbera == 1:
		lowerCamelCase__              =	[]
		lowerCamelCase__              =	[]
		lowerCamelCase__              =	max(__snake_case ,__snake_case							)

	lowerCamelCase__              =	0
	lowerCamelCase__              =	0

	lowerCamelCase__              =	[]  # captured numbers int both 'primeFac1' and 'primeFac2'

	# iterates through primeFac1
	for n in prime_fac_a:
		if n not in done:
			if n in prime_fac_a:
				lowerCamelCase__              =	prime_fac_a.count(__snake_case							)
				lowerCamelCase__              =	prime_fac_a.count(__snake_case							)

				for _ in range(max(__snake_case ,__snake_case							)							):
					ans *= n

			else:
				lowerCamelCase__              =	prime_fac_a.count(__snake_case							)

				for _ in range(__snake_case							):
					ans *= n

			done.append(__snake_case							)

    # iterates through primeFac2
	for n in prime_fac_a:
		if n not in done:
			lowerCamelCase__              =	prime_fac_a.count(__snake_case							)

			for _ in range(__snake_case							):
				ans *= n

			done.append(__snake_case							)

    # precondition
	assert isinstance(__snake_case ,__snake_case							) and (
	    ans >= 0
	), "'ans' must been from type int and positive"

	return ans





def lowerCAmelCase__(__snake_case							)       ->   Union[str, Any]:







	'''simple docstring'''







	assert isinstance(__snake_case ,__snake_case							) and (n >= 0), "'number' must been a positive int"

	lowerCamelCase__              =	0
	lowerCamelCase__              =	2  # this variable holds the answer

	while index < n:
		index += 1

		ans += 1  # counts to the next number

		# if ans not prime then
		# runs to the next prime number.
		while not is_prime(__snake_case							):
			ans += 1

    # precondition
	assert isinstance(__snake_case ,__snake_case							) and is_prime(
	    __snake_case							), "'ans' must been a prime number and from type int"

	return ans





def lowerCAmelCase__(__snake_case ,__snake_case							)       ->   Dict:







	'''simple docstring'''







	assert (
	    is_prime(__snake_case							) and is_prime(__snake_case							) and (p_number_a < p_number_a)
	), "The arguments must been prime numbers and 'pNumber1' < 'pNumber2'"

	lowerCamelCase__              =	p_number_a + 1  # jump to the next number

	lowerCamelCase__              =	[]  # this list will be returns.

	# if number is not prime then
	# fetch the next prime number.
	while not is_prime(__snake_case							):
		number += 1

	while number < p_number_a:
		ans.append(__snake_case							)

		number += 1

		# fetch the next prime number.
		while not is_prime(__snake_case							):
			number += 1

    # precondition
	assert (
	    isinstance(__snake_case ,__snake_case							)
	    and ans[0] != p_number_a
	    and ans[len(__snake_case							) - 1] != p_number_a
	), "'ans' must been a list without the arguments"

	# 'ans' contains not 'pNumber1' and 'pNumber2' !
	return ans





def lowerCAmelCase__(__snake_case							)       ->   Tuple:







	'''simple docstring'''







	assert isinstance(__snake_case ,__snake_case							) and (n >= 1), "'n' must been int and >= 1"

	lowerCamelCase__              =	[]  # will be returned.

	for divisor in range(1 ,n + 1							):
		if n % divisor == 0:
			ans.append(__snake_case							)

    # precondition
	assert ans[0] == 1 and ans[len(__snake_case							) - 1] == n, "Error in function getDivisiors(...)"

	return ans





def lowerCAmelCase__(__snake_case							)       ->   Optional[Any]:







	'''simple docstring'''







	assert isinstance(__snake_case ,__snake_case							) and (
	    number > 1
	), "'number' must been an int and >= 1"

	lowerCamelCase__              =	get_divisors(__snake_case							)

	# precondition
	assert (
	    isinstance(__snake_case ,__snake_case							)
	    and (divisors[0] == 1)
	    and (divisors[len(__snake_case							) - 1] == number)
	), "Error in help-function getDivisiors(...)"

	# summed all divisors up to 'number' (exclusive), hence [:-1]
	return sum(divisors[:-1]							) == number





def lowerCAmelCase__(__snake_case ,__snake_case							)       ->   Tuple:







	'''simple docstring'''







	assert (
	    isinstance(__snake_case ,__snake_case							)
	    and isinstance(__snake_case ,__snake_case							)
	    and (denominator != 0)
	), "The arguments must been from type int and 'denominator' != 0"

	# build the greatest common divisor of numerator and denominator.
	lowerCamelCase__              =	gcd(abs(__snake_case							) ,abs(__snake_case							)							)

	# precondition
	assert (
	    isinstance(__snake_case ,__snake_case							)
	    and (numerator % gcd_of_fraction == 0)
	    and (denominator % gcd_of_fraction == 0)
	), "Error in function gcd(...,...)"

	return (numerator // gcd_of_fraction, denominator // gcd_of_fraction)





def lowerCAmelCase__(__snake_case							)       ->   Optional[int]:







	'''simple docstring'''







	assert isinstance(__snake_case ,__snake_case							) and (n >= 0), "'n' must been a int and >= 0"

	lowerCamelCase__              =	1  # this will be return.

	for factor in range(1 ,n + 1							):
		ans *= factor

	return ans





def lowerCAmelCase__(__snake_case							)       ->   Optional[Any]:







	'''simple docstring'''







	assert isinstance(__snake_case ,__snake_case							) and (n >= 0), "'n' must been an int and >= 0"

	lowerCamelCase__              =	0
	lowerCamelCase__              =	1
	lowerCamelCase__              =	1  # this will be return

	for _ in range(n - 1							):
		lowerCamelCase__              =	ans
		ans += fiba
		lowerCamelCase__              =	tmp

	return ans



