





from math import sqrt





def      _UpperCamelCase  (a__ :int							):






							"""simple docstring"""





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

							UpperCamelCase__					  =      True

							# 0 and 1 are none primes.
							if number <= 1:
														UpperCamelCase__					  =      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__					  =      False
																					break

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

							return status





def      _UpperCamelCase  (a__ :Tuple							):






							"""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__					  =      list(range(2 ,      n + 1							)							)

							UpperCamelCase__					  =      []  # 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__					  =      0

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

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

							return ans





def      _UpperCamelCase  (a__ :Tuple							):






							"""simple docstring"""





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

							UpperCamelCase__					  =      []

							# 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  (a__ :Dict							):






							"""simple docstring"""





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

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

							# potential prime number factors.

							UpperCamelCase__					  =      2

							UpperCamelCase__					  =      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  (a__ :Any							):






							"""simple docstring"""





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

							UpperCamelCase__					  =      0

							# prime factorization of 'number'
							UpperCamelCase__					  =      prime_factorization(a__							)

							UpperCamelCase__					  =      max(a__							)

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

							return ans





def      _UpperCamelCase  (a__ :Union[str, Any]							):






							"""simple docstring"""





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

							UpperCamelCase__					  =      0

							# prime factorization of 'number'
							UpperCamelCase__					  =      prime_factorization(a__							)

							UpperCamelCase__					  =      min(a__							)

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

							return ans





def      _UpperCamelCase  (a__ :List[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  (a__ :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  (a__ :str							):






							"""simple docstring"""





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

							UpperCamelCase__					  =      []  # this list will returned

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

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

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

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

														while j < len_pn and loop:
																					if prime_numbers[i] + prime_numbers[j] == number:
																												UpperCamelCase__					  =      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  (a__ :Union[str, Any] ,      a__ :List[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__					  =      0

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

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

							return numbera





def      _UpperCamelCase  (a__ :Optional[Any] ,      a__ :List[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__					  =      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__					  =      prime_factorization(a__							)
														UpperCamelCase__					  =      prime_factorization(a__							)

							elif numbera == 1 or numbera == 1:
														UpperCamelCase__					  =      []
														UpperCamelCase__					  =      []
														UpperCamelCase__					  =      max(a__ ,      a__							)

							UpperCamelCase__					  =      0
							UpperCamelCase__					  =      0

							UpperCamelCase__					  =      []  # 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__					  =      prime_fac_a.count(a__							)
																												UpperCamelCase__					  =      prime_fac_a.count(a__							)

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

																					else:
																												UpperCamelCase__					  =      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__					  =      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  (a__ :Optional[Any]							):






							"""simple docstring"""





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

							UpperCamelCase__					  =      0
							UpperCamelCase__					  =      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  (a__ :Optional[Any] ,      a__ :List[str]							):






							"""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__					  =      p_number_a + 1  # jump to the next number

							UpperCamelCase__					  =      []  # 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  (a__ :Any							):






							"""simple docstring"""





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

							UpperCamelCase__					  =      []  # 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  (a__ :List[Any]							):






							"""simple docstring"""





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

							UpperCamelCase__					  =      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  (a__ :List[Any] ,      a__ :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__					  =      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  (a__ :Any							):






							"""simple docstring"""





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

							UpperCamelCase__					  =      1  # this will be return.

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

							return ans





def      _UpperCamelCase  (a__ :Tuple							):






							"""simple docstring"""





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

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

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

							return ans











import unittest

from huggingface_hub import hf_hub_download

from transformers import MODEL_FOR_VIDEO_CLASSIFICATION_MAPPING, VideoMAEFeatureExtractor
from transformers.pipelines import VideoClassificationPipeline, pipeline
from transformers.testing_utils import (
    is_pipeline_test,
    nested_simplify,
    require_decord,
    require_tf,
    require_torch,
    require_torch_or_tf,
    require_vision,
)

from .test_pipelines_common import ANY

@is_pipeline_test
@require_torch_or_tf
@require_vision
@require_decord
class 							__SCREAMING_SNAKE_CASE       (  unittest.TestCase							):
							snake_case  :   List[str]      =							MODEL_FOR_VIDEO_CLASSIFICATION_MAPPING






							def 					_lowerCamelCase		(    self	,			__lowerCAmelCase	,			__lowerCAmelCase	,			__lowerCAmelCase	):
														UpperCamelCase__					  =      hf_hub_download(
														    repo_id="""nateraw/video-demo"""	,			filename="""archery.mp4"""	,			repo_type="""dataset"""	)
														UpperCamelCase__					  =      VideoClassificationPipeline(model=__lowerCAmelCase	,			image_processor=__lowerCAmelCase	,			top_k=2	)
														UpperCamelCase__					  =      [
														    example_video_filepath,
														    """https://huggingface.co/datasets/nateraw/video-demo/resolve/main/archery.mp4""",
														]
														return video_classifier, examples






							def 					_lowerCamelCase		(    self	,			__lowerCAmelCase	,			__lowerCAmelCase	):
														for example in examples:
																					UpperCamelCase__					  =      video_classifier(__lowerCAmelCase	)

																					self.assertEqual(
																					    __lowerCAmelCase	,			[
																					        {"""score""": ANY(__lowerCAmelCase	), """label""": ANY(__lowerCAmelCase	)},
																					        {"""score""": ANY(__lowerCAmelCase	), """label""": ANY(__lowerCAmelCase	)},
																					    ]	,			)






							@require_torch
							def 					_lowerCamelCase		(    self	):
														UpperCamelCase__					  =      """hf-internal-testing/tiny-random-VideoMAEForVideoClassification"""
														UpperCamelCase__					  =      VideoMAEFeatureExtractor(
														    size={"""shortest_edge""": 10}	,			crop_size={"""height""": 10, """width""": 10}	)
														UpperCamelCase__					  =      pipeline(
														    """video-classification"""	,			model=__lowerCAmelCase	,			feature_extractor=__lowerCAmelCase	,			frame_sampling_rate=4	)

														UpperCamelCase__					  =      hf_hub_download(repo_id="""nateraw/video-demo"""	,			filename="""archery.mp4"""	,			repo_type="""dataset"""	)
														UpperCamelCase__					  =      video_classifier(__lowerCAmelCase	,			top_k=2	)
														self.assertEqual(
														    nested_simplify(__lowerCAmelCase	,			decimals=4	)	,			[{"""score""": 0.5199, """label""": """LABEL_0"""}, {"""score""": 0.4801, """label""": """LABEL_1"""}]	,			)

														UpperCamelCase__					  =      video_classifier(
														    [
														        video_file_path,
														        video_file_path,
														    ]	,			top_k=2	,			)
														self.assertEqual(
														    nested_simplify(__lowerCAmelCase	,			decimals=4	)	,			[
														        [{"""score""": 0.5199, """label""": """LABEL_0"""}, {"""score""": 0.4801, """label""": """LABEL_1"""}],
														        [{"""score""": 0.5199, """label""": """LABEL_0"""}, {"""score""": 0.4801, """label""": """LABEL_1"""}],
														    ]	,			)







							@require_tf
							def 					_lowerCamelCase		(    self	):
														pass




