






'''simple docstring'''







from math import sqrt

def    __UpperCamelCase	(	a    : int     ) ->bool:
 assert isinstance(a					,   a     ) and (
     number >= 0
 ), "'number' must been an int and positive"

 snake_case				=			True

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

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

 return status

def    __UpperCamelCase	(	a    : str     ) ->Any:
 assert isinstance(a					,   a     ) and (n > 2), "'N' must been an int and > 2"

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

 snake_case				=			[]  # 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):
    snake_case				=			0

    # filters actual prime numbers.
 snake_case				=			[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     ) ->Union[str, Any]:
 assert isinstance(a					,   a     ) and (n > 2), "'N' must been an int and > 2"

 snake_case				=			[]

 # 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    : Any     ) ->int:
 assert isinstance(a					,   a     ) and number >= 0, "'number' must been an int and >= 0"

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

 # potential prime number factors.

 snake_case				=			2

 snake_case				=			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    : Optional[Any]     ) ->Tuple:
 assert isinstance(a					,   a     ) and (
     number >= 0
 ), "'number' bust been an int and >= 0"

 snake_case				=			0

 # prime factorization of 'number'
 snake_case				=			prime_factorization(a     )

 snake_case				=			max(a     )

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

 return ans

def    __UpperCamelCase	(	a    : Any     ) ->Tuple:
 assert isinstance(a					,   a     ) and (
     number >= 0
 ), "'number' bust been an int and >= 0"

 snake_case				=			0

 # prime factorization of 'number'
 snake_case				=			prime_factorization(a     )

 snake_case				=			min(a     )

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

 return ans

def    __UpperCamelCase	(	a    : Union[str, Any]     ) ->Optional[Any]:
 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    : List[str]     ) ->Optional[Any]:
 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    : List[Any]     ) ->Any:
 assert (
     isinstance(a					,   a     ) and (number > 2) and is_even(a     )
 ), "'number' must been an int, even and > 2"

 snake_case				=			[]  # this list will returned

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

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

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

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

  while j < len_pn and loop:
   if prime_numbers[i] + prime_numbers[j] == number:
    snake_case				=			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    : Optional[int]					,   a    : Tuple     ) ->str:
 assert (
     isinstance(a					,   a     )
     and isinstance(a					,   a     )
     and (numbera >= 0)
     and (numbera >= 0)
 ), "'number1' and 'number2' must been positive integer."

 snake_case				=			0

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

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

 return numbera

def    __UpperCamelCase	(	a    : Any					,   a    : str     ) ->str:
 assert (
     isinstance(a					,   a     )
     and isinstance(a					,   a     )
     and (numbera >= 1)
     and (numbera >= 1)
 ), "'number1' and 'number2' must been positive integer."

 snake_case				=			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'
  snake_case				=			prime_factorization(a     )
  snake_case				=			prime_factorization(a     )

 elif numbera == 1 or numbera == 1:
  snake_case				=			[]
  snake_case				=			[]
  snake_case				=			max(a					,   a     )

 snake_case				=			0
 snake_case				=			0

 snake_case				=			[]  # 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:
    snake_case				=			prime_fac_a.count(a     )
    snake_case				=			prime_fac_a.count(a     )

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

   else:
    snake_case				=			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:
   snake_case				=			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    : List[str]     ) ->Optional[Any]:
 assert isinstance(a					,   a     ) and (n >= 0), "'number' must been a positive int"

 snake_case				=			0
 snake_case				=			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    : Union[str, Any]					,   a    : int     ) ->Union[str, Any]:
 assert (
     is_prime(a     ) and is_prime(a     ) and (p_number_a < p_number_a)
 ), "The arguments must been prime numbers and 'pNumber1' < 'pNumber2'"

 snake_case				=			p_number_a + 1  # jump to the next number

 snake_case				=			[]  # 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     ) ->Dict:
 assert isinstance(a					,   a     ) and (n >= 1), "'n' must been int and >= 1"

 snake_case				=			[]  # 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    : Union[str, Any]     ) ->Optional[int]:
 assert isinstance(a					,   a     ) and (
     number > 1
 ), "'number' must been an int and >= 1"

 snake_case				=			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[str]					,   a    : int     ) ->List[str]:
 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.
 snake_case				=			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     ) ->Any:
 assert isinstance(a					,   a     ) and (n >= 0), "'n' must been a int and >= 0"

 snake_case				=			1  # this will be return.

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

 return ans






def    __UpperCamelCase	(	a    : Tuple     ) ->Tuple:
 assert isinstance(a					,   a     ) and (n >= 0), "'n' must been an int and >= 0"

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

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

 return ans








'''simple docstring'''







import warnings

from transformers import AutoTokenizer
from transformers.utils import is_torch_available
from transformers.utils.generic import ExplicitEnum

from ...processing_utils import ProcessorMixin


if is_torch_available():
   import torch
class 			_lowercase						(       __a					):
     _UpperCAmelCase										=					'''char'''
     _UpperCAmelCase										=					'''bpe'''
     _UpperCAmelCase										=					'''wp'''




_lowercase       						=			(DecodeType.CHARACTER, DecodeType.BPE, DecodeType.WORDPIECE)
class 			_lowercase						(       __a					):
     _UpperCAmelCase										=					['''image_processor''', '''char_tokenizer''']
     _UpperCAmelCase										=					'''ViTImageProcessor'''
     _UpperCAmelCase										=					'''MgpstrTokenizer'''







     def __init__( self    ,   A__=None    ,   A__=None    ,   **A__    ) ->	List[Any]:
      snake_case				=			None
      if "feature_extractor" in kwargs:
       warnings.warn(
           '''The `feature_extractor` argument is deprecated and will be removed in v5, use `image_processor`'''
           ''' instead.'''    ,   A__    ,   )
       snake_case				=			kwargs.pop('''feature_extractor'''    )

      snake_case				=			image_processor if image_processor is not None else feature_extractor
      if image_processor is None:
       raise ValueError('''You need to specify an `image_processor`.'''    )
      if tokenizer is None:
       raise ValueError('''You need to specify a `tokenizer`.'''    )

      snake_case				=			tokenizer
      snake_case				=			AutoTokenizer.from_pretrained('''gpt2'''    )
      snake_case				=			AutoTokenizer.from_pretrained('''bert-base-uncased'''    )

      super().__init__(A__    ,   A__    )







     def __call__( self    ,   A__=None    ,   A__=None    ,   A__=None    ,   **A__    ) ->	List[str]:
      if images is None and text is None:
       raise ValueError('''You need to specify either an `images` or `text` input to process.'''    )

      if images is not None:
       snake_case				=			self.image_processor(A__    ,   return_tensors=A__    ,   **A__    )
      if text is not None:
       snake_case				=			self.char_tokenizer(A__    ,   return_tensors=A__    ,   **A__    )

      if text is None:
       return inputs
      elif images is None:
       return encodings
      else:
       snake_case				=			encodings['''input_ids''']
       return inputs







     def     UpperCamelCase			( self    ,   A__    ) ->	Dict:
      snake_case				,		snake_case				,		snake_case				=			sequences
      snake_case				=			char_preds.size(0    )

      snake_case				,		snake_case				=			self._decode_helper(A__    ,   '''char'''    )
      snake_case				,		snake_case				=			self._decode_helper(A__    ,   '''bpe'''    )
      snake_case				,		snake_case				=			self._decode_helper(A__    ,   '''wp'''    )

      snake_case				=			[]
      snake_case				=			[]
      for i in range(A__    ):
       snake_case				=			[char_scores[i], bpe_scores[i], wp_scores[i]]
       snake_case				=			[char_strs[i], bpe_strs[i], wp_strs[i]]
       snake_case				=			scores.index(max(A__    )    )
       final_strs.append(strs[max_score_index]    )
       final_scores.append(scores[max_score_index]    )

      snake_case				=			{}
      snake_case				=			final_strs
      snake_case				=			final_scores
      snake_case				=			char_strs
      snake_case				=			bpe_strs
      snake_case				=			wp_strs
      return out







     def     UpperCamelCase			( self    ,   A__    ,   A__    ) ->	Optional[Any]:
      if format == DecodeType.CHARACTER:
       snake_case				=			self.char_decode
       snake_case				=			1
       snake_case				=			'''[s]'''
      elif format == DecodeType.BPE:
       snake_case				=			self.bpe_decode
       snake_case				=			2
       snake_case				=			'''#'''
      elif format == DecodeType.WORDPIECE:
       snake_case				=			self.wp_decode
       snake_case				=			1_02
       snake_case				=			'''[SEP]'''
      else:
       raise ValueError(F"""Format {format} is not supported."""    )

      snake_case				,		snake_case				=			[], []
      snake_case				=			pred_logits.size(0    )
      snake_case				=			pred_logits.size(1    )
      snake_case				,		snake_case				=			pred_logits.topk(1    ,   dim=-1    ,   largest=A__    ,   sorted=A__    )
      snake_case				=			preds_index.view(-1    ,   A__    )[:, 1:]
      snake_case				=			decoder(A__    )
      snake_case				,		snake_case				=			torch.nn.functional.softmax(A__    ,   dim=2    ).max(dim=2    )
      snake_case				=			preds_max_prob[:, 1:]

      for index in range(A__    ):
       snake_case				=			preds_str[index].find(A__    )
       snake_case				=			preds_str[index][:pred_eos]
       snake_case				=			preds_index[index].cpu().tolist()
       snake_case				=			pred_index.index(A__    ) if eos_token in pred_index else -1
       snake_case				=			preds_max_prob[index][: pred_eos_index + 1]
       snake_case				=			pred_max_prob.cumprod(dim=0    )[-1] if pred_max_prob.nelement() != 0 else 0.0
       dec_strs.append(A__    )
       conf_scores.append(A__    )

      return dec_strs, conf_scores







     def     UpperCamelCase			( self    ,   A__    ) ->	int:
      snake_case				=			[seq.replace(''' '''    ,   ''''''    ) for seq in self.char_tokenizer.batch_decode(A__    )]
      return decode_strs







     def     UpperCamelCase			( self    ,   A__    ) ->	List[str]:
      return self.bpe_tokenizer.batch_decode(A__    )







     def     UpperCamelCase			( self    ,   A__    ) ->	Union[str, Any]:
      snake_case				=			[seq.replace(''' '''    ,   ''''''    ) for seq in self.wp_tokenizer.batch_decode(A__    )]
      return decode_strs

