

'''simple docstring'''

from math import sqrt

def 					__UpperCamelCase				(						lowercase__    :	int			):






     '''simple docstring'''





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

     __lowercase      		=True

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

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

     return status

def 					__UpperCamelCase				(						lowercase__    :	Optional[Any]			):






     '''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
     __lowercase      		=list(range(2,       n + 1			)			)

     __lowercase      		=[]  # 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):
                    __lowercase      		=0

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

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

     return ans

def 					__UpperCamelCase				(						lowercase__    :	Any			):






     '''simple docstring'''





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

     __lowercase      		=[]

     # 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 					__UpperCamelCase				(						lowercase__    :	Any			):






     '''simple docstring'''





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

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

     # potential prime number factors.

     __lowercase      		=2

     __lowercase      		=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 					__UpperCamelCase				(						lowercase__    :	List[str]			):






     '''simple docstring'''





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

     __lowercase      		=0

     # prime factorization of 'number'
     __lowercase      		=prime_factorization(lowercase__			)

     __lowercase      		=max(lowercase__			)

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

     return ans

def 					__UpperCamelCase				(						lowercase__    :	Any			):






     '''simple docstring'''





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

     __lowercase      		=0

     # prime factorization of 'number'
     __lowercase      		=prime_factorization(lowercase__			)

     __lowercase      		=min(lowercase__			)

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

     return ans

def 					__UpperCamelCase				(						lowercase__    :	Dict			):






     '''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 					__UpperCamelCase				(						lowercase__    :	Optional[Any]			):






     '''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 					__UpperCamelCase				(						lowercase__    :	int			):






     '''simple docstring'''





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

     __lowercase      		=[]  # this list will returned

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

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

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

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

          while j < len_pn and loop:
               if prime_numbers[i] + prime_numbers[j] == number:
                    __lowercase      		=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 					__UpperCamelCase				(						lowercase__    :	Union[str, Any],       lowercase__    :	Any			):






     '''simple docstring'''





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

     __lowercase      		=0

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

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

     return numbera

def 					__UpperCamelCase				(						lowercase__    :	Any,       lowercase__    :	Optional[int]			):






     '''simple docstring'''





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

     __lowercase      		=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'
          __lowercase      		=prime_factorization(lowercase__			)
          __lowercase      		=prime_factorization(lowercase__			)

     elif numbera == 1 or numbera == 1:
          __lowercase      		=[]
          __lowercase      		=[]
          __lowercase      		=max(lowercase__,       lowercase__			)

     __lowercase      		=0
     __lowercase      		=0

     __lowercase      		=[]  # 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:
                    __lowercase      		=prime_fac_a.count(lowercase__			)
                    __lowercase      		=prime_fac_a.count(lowercase__			)

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

               else:
                    __lowercase      		=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:
               __lowercase      		=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 					__UpperCamelCase				(						lowercase__    :	Union[str, Any]			):






     '''simple docstring'''





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

     __lowercase      		=0
     __lowercase      		=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 					__UpperCamelCase				(						lowercase__    :	int,       lowercase__    :	Tuple			):






     '''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'"

     __lowercase      		=p_number_a + 1  # jump to the next number

     __lowercase      		=[]  # 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 					__UpperCamelCase				(						lowercase__    :	Optional[Any]			):






     '''simple docstring'''





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

     __lowercase      		=[]  # 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 					__UpperCamelCase				(						lowercase__    :	Union[str, Any]			):






     '''simple docstring'''





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

     __lowercase      		=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 					__UpperCamelCase				(						lowercase__    :	List[str],       lowercase__    :	Tuple			):






     '''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.
     __lowercase      		=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 					__UpperCamelCase				(						lowercase__    :	Optional[int]			):






     '''simple docstring'''





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

     __lowercase      		=1  # this will be return.

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

     return ans







def 					__UpperCamelCase				(						lowercase__    :	str			):






     '''simple docstring'''





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

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

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

UpperCAmelCase					 =	logging.get_logger(__name__)


class 	lowerCAmelCase  (   enum.Enum ):
       lowerCAmelCase_												=			0
       lowerCAmelCase_												=			1






@add_end_docstrings(A )
class 	lowerCAmelCase  (   A ):
       lowerCAmelCase_												=			"generated"







       def __init__(				self      :			Tuple    ,   *__lowercase      :			Tuple    ,   **__lowercase      :			Optional[int]   ):







            """simple docstring"""







            super().__init__(*__lowercase    ,   **__lowercase   )

            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       snake_case (				self      :			Dict    ,   __lowercase      :			Any=None    ,   __lowercase      :			int=None    ,   __lowercase      :			List[str]=None    ,   __lowercase      :			int=None    ,   __lowercase      :			str=None    ,   __lowercase      :			List[Any]=None    ,   **__lowercase      :			Union[str, Any]    ,   ):







            """simple docstring"""







            __lowercase      		={}
            if truncation is not None:
                 __lowercase      		=truncation

            __lowercase      		=generate_kwargs

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

            if clean_up_tokenization_spaces is not None:
                 __lowercase      		=clean_up_tokenization_spaces

            if stop_sequence is not None:
                 __lowercase      		=self.tokenizer.encode(__lowercase    ,   add_special_tokens=__lowercase   )
                 if len(__lowercase   ) > 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.'   )
                 __lowercase      		=stop_sequence_ids[0]

            return preprocess_params, forward_params, postprocess_params







       def       snake_case (				self      :			List[Any]    ,   __lowercase      :			int    ,   __lowercase      :			int    ,   __lowercase      :			int   ):







            """simple docstring"""







            return True







       def       snake_case (				self      :			Optional[Any]    ,   *__lowercase      :			Optional[int]    ,   __lowercase      :			Union[str, Any]   ):







            """simple docstring"""







            __lowercase      		=self.model.config.prefix if self.model.config.prefix is not None else ''
            if isinstance(args[0]    ,   __lowercase   ):
                 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'   )
                 __lowercase      		=([prefix + arg for arg in args[0]],)
                 __lowercase      		=True

            elif isinstance(args[0]    ,   __lowercase   ):
                 __lowercase      		=(prefix + args[0],)
                 __lowercase      		=False
            else:
                 raise ValueError(
                     f''' `args[0]`: {args[0]} have the wrong format. The should be either of type `str` or type `list`'''   )
            __lowercase      		=self.tokenizer(*__lowercase    ,   padding=__lowercase    ,   truncation=__lowercase    ,   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      :			Any    ,   *__lowercase      :			int    ,   **__lowercase      :			Optional[Any]   ):







            """simple docstring"""







            __lowercase      		=super().__call__(*__lowercase    ,   **__lowercase   )
            if (
                isinstance(args[0]    ,   __lowercase   )
                and all(isinstance(__lowercase    ,   __lowercase   ) for el in args[0]   )
                and all(len(__lowercase   ) == 1 for res in result   )
            ):
                 return [res[0] for res in result]
            return result







       def       snake_case (				self      :			List[str]    ,   __lowercase      :			Tuple    ,   __lowercase      :			List[Any]=TruncationStrategy.DO_NOT_TRUNCATE    ,   **__lowercase      :			Dict   ):







            """simple docstring"""







            __lowercase      		=self._parse_and_tokenize(__lowercase    ,   truncation=__lowercase    ,   **__lowercase   )
            return inputs







       def       snake_case (				self      :			Optional[int]    ,   __lowercase      :			Tuple    ,   **__lowercase      :			Tuple   ):







            """simple docstring"""







            if self.framework == "pt":
                 __lowercase		,  __lowercase      		=model_inputs['input_ids'].shape
            elif self.framework == "tf":
                 __lowercase		,  __lowercase      		=tf.shape(model_inputs['input_ids']   ).numpy()

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







       def       snake_case (				self      :			str    ,   __lowercase      :			Optional[Any]    ,   __lowercase      :			Optional[int]=ReturnType.TEXT    ,   __lowercase      :			Union[str, Any]=False   ):







            """simple docstring"""







            __lowercase      		=[]
            for output_ids in model_outputs["output_ids"][0]:
                 if return_type == ReturnType.TENSORS:
                      __lowercase      		={f'''{self.return_name}_token_ids''': output_ids}
                 elif return_type == ReturnType.TEXT:
                      __lowercase      		={
                          f'''{self.return_name}_text''': self.tokenizer.decode(
                              __lowercase    ,   skip_special_tokens=__lowercase    ,   clean_up_tokenization_spaces=__lowercase    ,   )
                      }
                 records.append(__lowercase   )
            return records






@add_end_docstrings(A )
class 	lowerCAmelCase  (   A ):
       lowerCAmelCase_												=			"summary"







       def __call__(				self      :			Dict    ,   *__lowercase      :			Dict    ,   **__lowercase      :			Dict   ):







            """simple docstring"""







            return super().__call__(*__lowercase    ,   **__lowercase   )







       def       snake_case (				self      :			str    ,   __lowercase      :			int    ,   __lowercase      :			int    ,   __lowercase      :			int   ):







            """simple docstring"""







            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 ):
       lowerCAmelCase_												=			"translation"







       def       snake_case (				self      :			int    ,   __lowercase      :			int    ,   __lowercase      :			int    ,   __lowercase      :			int   ):







            """simple docstring"""







            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       snake_case (				self      :			int    ,   *__lowercase      :			str    ,   __lowercase      :			List[str]=TruncationStrategy.DO_NOT_TRUNCATE    ,   __lowercase      :			List[Any]=None    ,   __lowercase      :			Optional[int]=None   ):







            """simple docstring"""







            if getattr(self.tokenizer    ,   '_build_translation_inputs'    ,   __lowercase   ):
                 return self.tokenizer._build_translation_inputs(
                     *__lowercase    ,   return_tensors=self.framework    ,   truncation=__lowercase    ,   src_lang=__lowercase    ,   tgt_lang=__lowercase   )
            else:
                 return super()._parse_and_tokenize(*__lowercase    ,   truncation=__lowercase   )







       def       snake_case (				self      :			Optional[int]    ,   __lowercase      :			List[str]=None    ,   __lowercase      :			Optional[Any]=None    ,   **__lowercase      :			int   ):







            """simple docstring"""







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







       def __call__(				self      :			Optional[Any]    ,   *__lowercase      :			Any    ,   **__lowercase      :			List[Any]   ):







            """simple docstring"""







            return super().__call__(*__lowercase    ,   **__lowercase   )


