




"""simple docstring"""





from math import sqrt

def 					_UpperCamelCase    (			UpperCamelCase							)			->			bool:


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

			__UpperCAmelCase	: int		=					True

			# 0 and 1 are none primes.
			if number <= 1:
						__UpperCAmelCase	: Optional[Any]		=					False

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

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

			return status

def 					_UpperCamelCase    (			UpperCamelCase							)			->			int:


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

			# beginList: contains all natural numbers from 2 up to N
			__UpperCAmelCase	: Union[str, Any]		=					list(range(2				,       n + 1							)							)

			__UpperCAmelCase	: str		=					[]  # this list will be returns.

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

												# filters actual prime numbers.
			__UpperCAmelCase	: List[Any]		=					[x for x in begin_list if x != 0]

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

			return ans

def 					_UpperCamelCase    (			UpperCamelCase							)			->			Dict:


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

			__UpperCAmelCase	: Optional[int]		=					[]

			# 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(__A							):
									ans.append(__A							)

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

			return ans

def 					_UpperCamelCase    (			UpperCamelCase							)			->			Optional[Any]:


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

			__UpperCAmelCase	: Dict		=					[]  # this list will be returns of the function.

			# potential prime number factors.

			__UpperCAmelCase	: Dict		=					2

			__UpperCAmelCase	: Tuple		=					number

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

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

			else:
						ans.append(__A							)

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

			return ans

def 					_UpperCamelCase    (			UpperCamelCase							)			->			Optional[int]:


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

			__UpperCAmelCase	: Union[str, Any]		=					0

			# prime factorization of 'number'
			__UpperCAmelCase	: Optional[Any]		=					prime_factorization(__A							)

			__UpperCAmelCase	: str		=					max(__A							)

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

			return ans

def 					_UpperCamelCase    (			UpperCamelCase							)			->			str:


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

			__UpperCAmelCase	: List[Any]		=					0

			# prime factorization of 'number'
			__UpperCAmelCase	: Tuple		=					prime_factorization(__A							)

			__UpperCAmelCase	: Tuple		=					min(__A							)

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

			return ans

def 					_UpperCamelCase    (			UpperCamelCase							)			->			Any:


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

			return number % 2 == 0

def 					_UpperCamelCase    (			UpperCamelCase							)			->			str:


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

			return number % 2 != 0

def 					_UpperCamelCase    (			UpperCamelCase							)			->			List[str]:


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

			__UpperCAmelCase	: List[Any]		=					[]  # this list will returned

			# creates a list of prime numbers between 2 up to 'number'
			__UpperCAmelCase	: Any		=					get_prime_numbers(__A							)
			__UpperCAmelCase	: Tuple		=					len(__A							)

			# run variable for while-loops.
			__UpperCAmelCase	: str		=					0
			__UpperCAmelCase	: Dict		=					None

			# exit variable. for break up the loops
			__UpperCAmelCase	: Any		=					True

			while i < len_pn and loop:
						__UpperCAmelCase	: int		=					i + 1

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

									j += 1

						i += 1

			# precondition
			assert (
			    isinstance(__A				,       __A							)
			    and (len(__A							) == 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 					_UpperCamelCase    (			UpperCamelCase				,       UpperCamelCase							)			->			str:


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

			__UpperCAmelCase	: List[str]		=					0

			while numbera != 0:
						__UpperCAmelCase	: int		=					numbera % numbera
						__UpperCAmelCase	: int		=					numbera
						__UpperCAmelCase	: Union[str, Any]		=					rest

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

			return numbera

def 					_UpperCamelCase    (			UpperCamelCase				,       UpperCamelCase							)			->			Union[str, Any]:


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

			__UpperCAmelCase	: Optional[int]		=					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'
						__UpperCAmelCase	: Optional[int]		=					prime_factorization(__A							)
						__UpperCAmelCase	: Dict		=					prime_factorization(__A							)

			elif numbera == 1 or numbera == 1:
						__UpperCAmelCase	: List[Any]		=					[]
						__UpperCAmelCase	: str		=					[]
						__UpperCAmelCase	: int		=					max(__A				,       __A							)

			__UpperCAmelCase	: int		=					0
			__UpperCAmelCase	: Optional[int]		=					0

			__UpperCAmelCase	: str		=					[]  # 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:
												__UpperCAmelCase	: Any		=					prime_fac_a.count(__A							)
												__UpperCAmelCase	: int		=					prime_fac_a.count(__A							)

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

									else:
												__UpperCAmelCase	: Optional[Any]		=					prime_fac_a.count(__A							)

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

									done.append(__A							)

									 # iterates through primeFac2
			for n in prime_fac_a:
						if n not in done:
									__UpperCAmelCase	: Union[str, Any]		=					prime_fac_a.count(__A							)

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

									done.append(__A							)

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

			return ans

def 					_UpperCamelCase    (			UpperCamelCase							)			->			Union[str, Any]:


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

			__UpperCAmelCase	: str		=					0
			__UpperCAmelCase	: str		=					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(__A							):
									ans += 1

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

			return ans

def 					_UpperCamelCase    (			UpperCamelCase				,       UpperCamelCase							)			->			Tuple:


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

			__UpperCAmelCase	: Any		=					p_number_a + 1  # jump to the next number

			__UpperCAmelCase	: str		=					[]  # this list will be returns.

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

			while number < p_number_a:
						ans.append(__A							)

						number += 1

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

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

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

def 					_UpperCamelCase    (			UpperCamelCase							)			->			List[Any]:


			"""simple docstring"""
			assert isinstance(__A				,       __A							) and (n >= 1), "'n' must been int and >= 1"

			__UpperCAmelCase	: Union[str, Any]		=					[]  # will be returned.

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

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

			return ans

def 					_UpperCamelCase    (			UpperCamelCase							)			->			Any:


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

			__UpperCAmelCase	: List[str]		=					get_divisors(__A							)

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

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

def 					_UpperCamelCase    (			UpperCamelCase				,       UpperCamelCase							)			->			List[Any]:


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

			# build the greatest common divisor of numerator and denominator.
			__UpperCAmelCase	: Any		=					gcd(abs(__A							)				,       abs(__A							)							)

			# precondition
			assert (
			    isinstance(__A				,       __A							)
			    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 					_UpperCamelCase    (			UpperCamelCase							)			->			Tuple:


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

			__UpperCAmelCase	: List[str]		=					1  # this will be return.

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

			return ans





def 					_UpperCamelCase    (			UpperCamelCase							)			->			Optional[int]:


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

			__UpperCAmelCase	: Union[str, Any]		=					0
			__UpperCAmelCase	: List[str]		=					1
			__UpperCAmelCase	: Any		=					1  # this will be return

			for _ in range(n - 1							):
						__UpperCAmelCase	: str		=					ans
						ans += fiba
						__UpperCAmelCase	: Tuple		=					tmp

			return ans












"""simple docstring"""





from ...processing_utils import ProcessorMixin



class      a__				(	__magic_name__   ):
			lowercase_    =	["image_processor", "feature_extractor"]
			lowercase_    =	"TvltImageProcessor"
			lowercase_    =	"TvltFeatureExtractor"


			def __init__(      self      :    Tuple      ,  UpperCamelCase_      :    Optional[int]      ,  UpperCamelCase_      :    Dict):


						"""simple docstring"""




						super().__init__(image_processor=UpperCamelCase_      ,  feature_extractor=UpperCamelCase_)

						__UpperCAmelCase	: Optional[int]		=					image_processor
						__UpperCAmelCase	: Dict		=					feature_extractor


			def __call__(      self      :    Tuple      ,  UpperCamelCase_      :    str=None      ,  UpperCamelCase_      :    Optional[int]=None      ,  UpperCamelCase_      :    Optional[int]=None      ,  UpperCamelCase_      :    str=None      ,  UpperCamelCase_      :    List[str]=False      ,  UpperCamelCase_      :    Optional[int]=False      ,  *UpperCamelCase_      :    List[str]      ,  **UpperCamelCase_      :    str      ,  ):


						"""simple docstring"""




						if images is None and audio is None:
									raise ValueError("You need to specify either an `images` or `audio` input to process.")

						__UpperCAmelCase	: Optional[Any]		=					None
						if images is not None:
									__UpperCAmelCase	: int		=					self.image_processor(UpperCamelCase_      ,  mask_pixel=UpperCamelCase_      ,  *UpperCamelCase_      ,  **UpperCamelCase_)
						if images_mixed is not None:
									__UpperCAmelCase	: int		=					self.image_processor(UpperCamelCase_      ,  is_mixed=UpperCamelCase_      ,  *UpperCamelCase_      ,  **UpperCamelCase_)
						if audio is not None:
									__UpperCAmelCase	: List[Any]		=					self.feature_extractor(
									    UpperCamelCase_      ,  *UpperCamelCase_      ,  sampling_rate=UpperCamelCase_      ,  mask_audio=UpperCamelCase_      ,  **UpperCamelCase_)

						__UpperCAmelCase	: List[str]		=					{}
						if audio is not None:
									output_dict.update(UpperCamelCase_)
						if images is not None:
									output_dict.update(UpperCamelCase_)
						if images_mixed_dict is not None:
									output_dict.update(UpperCamelCase_)
						return output_dict


			@property
			def       a_     (      self      :    str):


						"""simple docstring"""




						__UpperCAmelCase	: List[Any]		=					self.image_processor.model_input_names
						__UpperCAmelCase	: List[Any]		=					self.feature_extractor.model_input_names
						return list(dict.fromkeys(image_processor_input_names + feature_extractor_input_names))


