






from math import sqrt


def 	lowerCamelCase__      (  lowercase					):

  """simple docstring"""






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

  SCREAMING_SNAKE_CASE							:   Any						    =     True

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

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

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

  return status


def 	lowerCamelCase__      (  lowercase					):

  """simple docstring"""






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

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

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

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

    # filters actual prime numbers.
  SCREAMING_SNAKE_CASE							:   Optional[int]						    =     [x for x in begin_list if x != 0]

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

  return ans


def 	lowerCamelCase__      (  lowercase					):

  """simple docstring"""






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

  SCREAMING_SNAKE_CASE							:   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(lowercase					):
      ans.append(lowercase					)

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

  return ans


def 	lowerCamelCase__      (  lowercase					):

  """simple docstring"""






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

  SCREAMING_SNAKE_CASE							:   List[Any]						    =     []  # this list will be returns of the function.

  # potential prime number factors.

  SCREAMING_SNAKE_CASE							:   Dict						    =     2

  SCREAMING_SNAKE_CASE							:   int						    =     number

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

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

  else:
    ans.append(lowercase					)

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

  return ans


def 	lowerCamelCase__      (  lowercase					):

  """simple docstring"""






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

  SCREAMING_SNAKE_CASE							:   List[str]						    =     0

  # prime factorization of 'number'
  SCREAMING_SNAKE_CASE							:   Any						    =     prime_factorization(lowercase					)

  SCREAMING_SNAKE_CASE							:   List[str]						    =     max(lowercase					)

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

  return ans


def 	lowerCamelCase__      (  lowercase					):

  """simple docstring"""






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

  SCREAMING_SNAKE_CASE							:   List[str]						    =     0

  # prime factorization of 'number'
  SCREAMING_SNAKE_CASE							:   Optional[int]						    =     prime_factorization(lowercase					)

  SCREAMING_SNAKE_CASE							:   List[Any]						    =     min(lowercase					)

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

  return ans


def 	lowerCamelCase__      (  lowercase					):

  """simple docstring"""






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

  return number % 2 == 0


def 	lowerCamelCase__      (  lowercase					):

  """simple docstring"""






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

  return number % 2 != 0


def 	lowerCamelCase__      (  lowercase					):

  """simple docstring"""






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

  SCREAMING_SNAKE_CASE							:   List[str]						    =     []  # this list will returned

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

  # run variable for while-loops.
  SCREAMING_SNAKE_CASE							:   List[str]						    =     0
  SCREAMING_SNAKE_CASE							:   Dict						    =     None

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

  while i < len_pn and loop:
    SCREAMING_SNAKE_CASE							:   Any						    =     i + 1

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

      j += 1

    i += 1

  # precondition
  assert (
      isinstance(lowercase    ,  lowercase					)
      and (len(lowercase					) == 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__      (  lowercase    ,  lowercase					):

  """simple docstring"""






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

  SCREAMING_SNAKE_CASE							:   List[str]						    =     0

  while numbera != 0:
    SCREAMING_SNAKE_CASE							:   List[str]						    =     numbera % numbera
    SCREAMING_SNAKE_CASE							:   Dict						    =     numbera
    SCREAMING_SNAKE_CASE							:   Optional[Any]						    =     rest

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

  return numbera


def 	lowerCamelCase__      (  lowercase    ,  lowercase					):

  """simple docstring"""






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

  SCREAMING_SNAKE_CASE							:   Union[str, Any]						    =     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'
    SCREAMING_SNAKE_CASE							:   Optional[int]						    =     prime_factorization(lowercase					)
    SCREAMING_SNAKE_CASE							:   Union[str, Any]						    =     prime_factorization(lowercase					)

  elif numbera == 1 or numbera == 1:
    SCREAMING_SNAKE_CASE							:   Union[str, Any]						    =     []
    SCREAMING_SNAKE_CASE							:   Tuple						    =     []
    SCREAMING_SNAKE_CASE							:   Optional[int]						    =     max(lowercase    ,  lowercase					)

  SCREAMING_SNAKE_CASE							:   List[str]						    =     0
  SCREAMING_SNAKE_CASE							:   List[Any]						    =     0

  SCREAMING_SNAKE_CASE							:   Any						    =     []  # 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:
        SCREAMING_SNAKE_CASE							:   Optional[int]						    =     prime_fac_a.count(lowercase					)
        SCREAMING_SNAKE_CASE							:   Tuple						    =     prime_fac_a.count(lowercase					)

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

      else:
        SCREAMING_SNAKE_CASE							:   List[Any]						    =     prime_fac_a.count(lowercase					)

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

      done.append(lowercase					)

    # iterates through primeFac2
  for n in prime_fac_a:
    if n not in done:
      SCREAMING_SNAKE_CASE							:   int						    =     prime_fac_a.count(lowercase					)

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

      done.append(lowercase					)

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

  return ans


def 	lowerCamelCase__      (  lowercase					):

  """simple docstring"""






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

  SCREAMING_SNAKE_CASE							:   List[str]						    =     0
  SCREAMING_SNAKE_CASE							:   Optional[int]						    =     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(lowercase					):
      ans += 1

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

  return ans


def 	lowerCamelCase__      (  lowercase    ,  lowercase					):

  """simple docstring"""






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

  SCREAMING_SNAKE_CASE							:   str						    =     p_number_a + 1  # jump to the next number

  SCREAMING_SNAKE_CASE							:   Optional[Any]						    =     []  # this list will be returns.

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

  while number < p_number_a:
    ans.append(lowercase					)

    number += 1

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

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

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


def 	lowerCamelCase__      (  lowercase					):

  """simple docstring"""






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

  SCREAMING_SNAKE_CASE							:   Any						    =     []  # will be returned.

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

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

  return ans


def 	lowerCamelCase__      (  lowercase					):

  """simple docstring"""






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

  SCREAMING_SNAKE_CASE							:   Optional[int]						    =     get_divisors(lowercase					)

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

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


def 	lowerCamelCase__      (  lowercase    ,  lowercase					):

  """simple docstring"""






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

  # build the greatest common divisor of numerator and denominator.
  SCREAMING_SNAKE_CASE							:   List[str]						    =     gcd(abs(lowercase					)    ,  abs(lowercase					)					)

  # precondition
  assert (
      isinstance(lowercase    ,  lowercase					)
      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__      (  lowercase					):

  """simple docstring"""






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

  SCREAMING_SNAKE_CASE							:   Union[str, Any]						    =     1  # this will be return.

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

  return ans


def 	lowerCamelCase__      (  lowercase					):

  """simple docstring"""






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

  SCREAMING_SNAKE_CASE							:   Tuple						    =     0
  SCREAMING_SNAKE_CASE							:   str						    =     1
  SCREAMING_SNAKE_CASE							:   int						    =     1  # this will be return

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

  return ans








"""simple docstring"""
import enum
import warnings

from ..tokenization_utils import TruncationStrategy
from ..utils import add_end_docstrings, is_tf_available, is_torch_available, logging
from .base import PIPELINE_INIT_ARGS, Pipeline


if is_tf_available():
			import tensorflow as tf

			from ..models.auto.modeling_tf_auto import TF_MODEL_FOR_SEQ_TO_SEQ_CAUSAL_LM_MAPPING

if is_torch_available():
			from ..models.auto.modeling_auto import MODEL_FOR_SEQ_TO_SEQ_CAUSAL_LM_MAPPING

SCREAMING_SNAKE_CASE_					     =	logging.get_logger(__name__)
class       lowerCAmelCase_		(				enum.Enum ):



							'''simple docstring'''





							_snake_case						      =		0
							_snake_case						      =		1
@add_end_docstrings(A__ )
class       lowerCAmelCase_		(				A__ ):



							'''simple docstring'''





							_snake_case						      =		'''generated'''




							def __init__( self    ,				*snake_case_    ,				**snake_case_				)       ->  Optional[int]:
													super().__init__(*snake_case_    ,				**snake_case_				)

													self.check_model_type(
													    TF_MODEL_FOR_SEQ_TO_SEQ_CAUSAL_LM_MAPPING
													    if self.framework == """tf"""
													    else MODEL_FOR_SEQ_TO_SEQ_CAUSAL_LM_MAPPING				)




							def    A__						( self    ,				snake_case_=None    ,				snake_case_=None    ,				snake_case_=None    ,				snake_case_=None    ,				snake_case_=None    ,				snake_case_=None    ,				**snake_case_    ,				)       ->  Union[str, Any]:
													__lowerCAmelCase     =  {}
													if truncation is not None:
																			__lowerCAmelCase     =  truncation

													__lowerCAmelCase     =  generate_kwargs

													__lowerCAmelCase     =  {}
													if return_tensors is not None and return_type is None:
																			__lowerCAmelCase     =  ReturnType.TENSORS if return_tensors else ReturnType.TEXT
													if return_type is not None:
																			__lowerCAmelCase     =  return_type

													if clean_up_tokenization_spaces is not None:
																			__lowerCAmelCase     =  clean_up_tokenization_spaces

													if stop_sequence is not None:
																			__lowerCAmelCase     =  self.tokenizer.encode(snake_case_    ,				add_special_tokens=snake_case_				)
																			if len(snake_case_				) > 1:
																									warnings.warn(
																									    """Stopping on a multiple token sequence is not yet supported on transformers. The first token of"""
																									    """ the stop sequence will be used as the stop sequence string in the interim."""				)
																			__lowerCAmelCase     =  stop_sequence_ids[0]

													return preprocess_params, forward_params, postprocess_params




							def    A__						( self    ,				snake_case_    ,				snake_case_    ,				snake_case_				)       ->  Any:
													return True




							def    A__						( self    ,				*snake_case_    ,				snake_case_				)       ->  Dict:
													__lowerCAmelCase     =  self.model.config.prefix if self.model.config.prefix is not None else """"""
													if isinstance(args[0]    ,				snake_case_				):
																			if self.tokenizer.pad_token_id is None:
																									raise ValueError("""Please make sure that the tokenizer has a pad_token_id when using a batch input"""				)
																			__lowerCAmelCase     =  ([prefix + arg for arg in args[0]],)
																			__lowerCAmelCase     =  True

													elif isinstance(args[0]    ,				snake_case_				):
																			__lowerCAmelCase     =  (prefix + args[0],)
																			__lowerCAmelCase     =  False
													else:
																			raise ValueError(
																			    f""" `args[0]`: {args[0]} have the wrong format. The should be either of type `str` or type `list`"""				)
													__lowerCAmelCase     =  self.tokenizer(*snake_case_    ,				padding=snake_case_    ,				truncation=snake_case_    ,				return_tensors=self.framework				)
													# This is produced by tokenizers but is an invalid generate kwargs
													if "token_type_ids" in inputs:
																			del inputs["token_type_ids"]
													return inputs




							def __call__( self    ,				*snake_case_    ,				**snake_case_				)       ->  Dict:
													__lowerCAmelCase     =  super().__call__(*snake_case_    ,				**snake_case_				)
													if (
													    isinstance(args[0]    ,				snake_case_				)
													    and all(isinstance(snake_case_    ,				snake_case_				) for el in args[0]				)
													    and all(len(snake_case_				) == 1 for res in result				)
													):
																			return [res[0] for res in result]
													return result




							def    A__						( self    ,				snake_case_    ,				snake_case_=TruncationStrategy.DO_NOT_TRUNCATE    ,				**snake_case_				)       ->  Tuple:
													__lowerCAmelCase     =  self._parse_and_tokenize(snake_case_    ,				truncation=snake_case_    ,				**snake_case_				)
													return inputs




							def    A__						( self    ,				snake_case_    ,				**snake_case_				)       ->  Union[str, Any]:
													if self.framework == "pt":
																			__lowerCAmelCase   ,     __lowerCAmelCase     =  model_inputs["""input_ids"""].shape
													elif self.framework == "tf":
																			__lowerCAmelCase   ,     __lowerCAmelCase     =  tf.shape(model_inputs["""input_ids"""]				).numpy()

													__lowerCAmelCase     =  generate_kwargs.get("""min_length"""    ,				self.model.config.min_length				)
													__lowerCAmelCase     =  generate_kwargs.get("""max_length"""    ,				self.model.config.max_length				)
													self.check_inputs(snake_case_    ,				generate_kwargs["""min_length"""]    ,				generate_kwargs["""max_length"""]				)
													__lowerCAmelCase     =  self.model.generate(**snake_case_    ,				**snake_case_				)
													__lowerCAmelCase     =  output_ids.shape[0]
													if self.framework == "pt":
																			__lowerCAmelCase     =  output_ids.reshape(snake_case_    ,				out_b // in_b    ,				*output_ids.shape[1:]				)
													elif self.framework == "tf":
																			__lowerCAmelCase     =  tf.reshape(snake_case_    ,				(in_b, out_b // in_b, *output_ids.shape[1:])				)
													return {"output_ids": output_ids}




							def    A__						( self    ,				snake_case_    ,				snake_case_=ReturnType.TEXT    ,				snake_case_=False				)       ->  Dict:
													__lowerCAmelCase     =  []
													for output_ids in model_outputs["output_ids"][0]:
																			if return_type == ReturnType.TENSORS:
																									__lowerCAmelCase     =  {f"""{self.return_name}_token_ids""": output_ids}
																			elif return_type == ReturnType.TEXT:
																									__lowerCAmelCase     =  {
																									    f"""{self.return_name}_text""": self.tokenizer.decode(
																									        snake_case_    ,				skip_special_tokens=snake_case_    ,				clean_up_tokenization_spaces=snake_case_    ,				)
																									}
																			records.append(snake_case_				)
													return records
@add_end_docstrings(A__ )
class       lowerCAmelCase_		(				A__ ):



							'''simple docstring'''





							_snake_case						      =		'''summary'''




							def __call__( self    ,				*snake_case_    ,				**snake_case_				)       ->  Tuple:
													return super().__call__(*snake_case_    ,				**snake_case_				)




							def    A__						( self    ,				snake_case_    ,				snake_case_    ,				snake_case_				)       ->  bool:
													if max_length < min_length:
																			logger.warning(f"""Your min_length={min_length} must be inferior than your max_length={max_length}."""				)

													if input_length < max_length:
																			logger.warning(
																			    f"""Your max_length is set to {max_length}, but your input_length is only {input_length}. Since this is """
																			    """a summarization task, where outputs shorter than the input are typically wanted, you might """
																			    f"""consider decreasing max_length manually, e.g. summarizer('...', max_length={input_length//2})"""				)
@add_end_docstrings(A__ )
class       lowerCAmelCase_		(				A__ ):



							'''simple docstring'''





							_snake_case						      =		'''translation'''




							def    A__						( self    ,				snake_case_    ,				snake_case_    ,				snake_case_				)       ->  Optional[int]:
													if input_length > 0.9 * max_length:
																			logger.warning(
																			    f"""Your input_length: {input_length} is bigger than 0.9 * max_length: {max_length}. You might consider """
																			    """increasing your max_length manually, e.g. translator('...', max_length=400)"""				)
													return True




							def    A__						( self    ,				*snake_case_    ,				snake_case_=TruncationStrategy.DO_NOT_TRUNCATE    ,				snake_case_=None    ,				snake_case_=None				)       ->  List[Any]:
													if getattr(self.tokenizer    ,				"""_build_translation_inputs"""    ,				snake_case_				):
																			return self.tokenizer._build_translation_inputs(
																			    *snake_case_    ,				return_tensors=self.framework    ,				truncation=snake_case_    ,				src_lang=snake_case_    ,				tgt_lang=snake_case_				)
													else:
																			return super()._parse_and_tokenize(*snake_case_    ,				truncation=snake_case_				)




							def    A__						( self    ,				snake_case_=None    ,				snake_case_=None    ,				**snake_case_				)       ->  List[Any]:
													__lowerCAmelCase   ,     __lowerCAmelCase   ,     __lowerCAmelCase     =  super()._sanitize_parameters(**snake_case_				)
													if src_lang is not None:
																			__lowerCAmelCase     =  src_lang
													if tgt_lang is not None:
																			__lowerCAmelCase     =  tgt_lang
													if src_lang is None and tgt_lang is None:
																			# Backward compatibility, direct arguments use is preferred.
																			__lowerCAmelCase     =  kwargs.get("""task"""    ,				self.task				)
																			__lowerCAmelCase     =  task.split("""_"""				)
																			if task and len(snake_case_				) == 4:
																									# translation, XX, to YY
																									__lowerCAmelCase     =  items[1]
																									__lowerCAmelCase     =  items[3]
													return preprocess_params, forward_params, postprocess_params




							def __call__( self    ,				*snake_case_    ,				**snake_case_				)       ->  List[Any]:
													return super().__call__(*snake_case_    ,				**snake_case_				)
