
from math import sqrt






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

   _A:  int					=       True

   # 0 and 1 are none primes.
   if number <= 1:
      _A:  int					=       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:
         _A:  Tuple					=       False
         break

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

   return status






def   lowerCamelCase__							(					a      )      ->   List[str]:
   assert isinstance(a		,		a      ) and (n > 2), "'N' must been an int and > 2"

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

   _A:  Optional[int]					=       []  # 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):
            _A:  List[Any]					=       0

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

   _A:  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   lowerCamelCase__							(					a      )      ->   Optional[Any]:
   assert isinstance(a		,		a      ) and number >= 0, "'number' must been an int and >= 0"

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

   # potential prime number factors.

   _A:  str					=       2

   _A:  int					=       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   lowerCamelCase__							(					a      )      ->   List[Any]:
   assert isinstance(a		,		a      ) and (
       number >= 0
   ), "'number' bust been an int and >= 0"

   _A:  Any					=       0

   # prime factorization of 'number'
   _A:  Any					=       prime_factorization(a      )

   _A:  int					=       max(a      )

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

   return ans






def   lowerCamelCase__							(					a      )      ->   List[Any]:
   assert isinstance(a		,		a      ) and (
       number >= 0
   ), "'number' bust been an int and >= 0"

   _A:  str					=       0

   # prime factorization of 'number'
   _A:  str					=       prime_factorization(a      )

   _A:  Optional[int]					=       min(a      )

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

   return ans






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

   _A:  int					=       []  # this list will returned

   # creates a list of prime numbers between 2 up to 'number'
   _A:  Optional[int]					=       get_prime_numbers(a      )
   _A:  Tuple					=       len(a      )

   # run variable for while-loops.
   _A:  Dict					=       0
   _A:  Tuple					=       None

   # exit variable. for break up the loops
   _A:  List[str]					=       True

   while i < len_pn and loop:
      _A:  List[Any]					=       i + 1

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

   _A:  Tuple					=       0

   while numbera != 0:
      _A:  int					=       numbera % numbera
      _A:  Optional[int]					=       numbera
      _A:  int					=       rest

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

   return numbera






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

   _A:  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'
      _A:  Optional[int]					=       prime_factorization(a      )
      _A:  Optional[Any]					=       prime_factorization(a      )

   elif numbera == 1 or numbera == 1:
      _A:  int					=       []
      _A:  List[str]					=       []
      _A:  Optional[int]					=       max(a		,		a      )

   _A:  Optional[int]					=       0
   _A:  int					=       0

   _A:  List[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:
            _A:  List[str]					=       prime_fac_a.count(a      )
            _A:  int					=       prime_fac_a.count(a      )

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

         else:
            _A:  Tuple					=       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:
         _A:  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   lowerCamelCase__							(					a      )      ->   Tuple:
   assert isinstance(a		,		a      ) and (n >= 0), "'number' must been a positive int"

   _A:  Optional[int]					=       0
   _A:  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   lowerCamelCase__							(					a		,		a      )      ->   int:
   assert (
       is_prime(a      ) and is_prime(a      ) and (p_number_a < p_number_a)
   ), "The arguments must been prime numbers and 'pNumber1' < 'pNumber2'"

   _A:  int					=       p_number_a + 1  # jump to the next number

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

   _A:  str					=       []  # 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   lowerCamelCase__							(					a      )      ->   str:
   assert isinstance(a		,		a      ) and (
       number > 1
   ), "'number' must been an int and >= 1"

   _A:  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   lowerCamelCase__							(					a		,		a      )      ->   int:
   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.
   _A:  int					=       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   lowerCamelCase__							(					a      )      ->   Optional[Any]:
   assert isinstance(a		,		a      ) and (n >= 0), "'n' must been a int and >= 0"

   _A:  Optional[Any]					=       1  # this will be return.

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

   return ans






def   lowerCamelCase__							(					a      )      ->   List[str]:
   assert isinstance(a		,		a      ) and (n >= 0), "'n' must been an int and >= 0"

   _A:  Union[str, Any]					=       0
   _A:  Optional[int]					=       1
   _A:  Any					=       1  # this will be return

   for _ in range(n - 1      ):
      _A:  List[str]					=       ans
      ans += fiba
      _A:  Dict					=       tmp

   return ans





from collections import OrderedDict
from typing import Mapping

from ...configuration_utils import PretrainedConfig
from ...onnx import OnnxConfig
from ...utils import logging


UpperCAmelCase__		:     List[str]     			=      logging.get_logger(__name__)

UpperCAmelCase__		:     Union[str, Any]     			=      {
    'xlm-mlm-en-2048': 'https://huggingface.co/xlm-mlm-en-2048/resolve/main/config.json',
    'xlm-mlm-ende-1024': 'https://huggingface.co/xlm-mlm-ende-1024/resolve/main/config.json',
    'xlm-mlm-enfr-1024': 'https://huggingface.co/xlm-mlm-enfr-1024/resolve/main/config.json',
    'xlm-mlm-enro-1024': 'https://huggingface.co/xlm-mlm-enro-1024/resolve/main/config.json',
    'xlm-mlm-tlm-xnli15-1024': 'https://huggingface.co/xlm-mlm-tlm-xnli15-1024/resolve/main/config.json',
    'xlm-mlm-xnli15-1024': 'https://huggingface.co/xlm-mlm-xnli15-1024/resolve/main/config.json',
    'xlm-clm-enfr-1024': 'https://huggingface.co/xlm-clm-enfr-1024/resolve/main/config.json',
    'xlm-clm-ende-1024': 'https://huggingface.co/xlm-clm-ende-1024/resolve/main/config.json',
    'xlm-mlm-17-1280': 'https://huggingface.co/xlm-mlm-17-1280/resolve/main/config.json',
    'xlm-mlm-100-1280': 'https://huggingface.co/xlm-mlm-100-1280/resolve/main/config.json',
}






class UpperCAmelCase   (						SCREAMING_SNAKE_CASE__   ):





   '''simple docstring'''
   __UpperCamelCase		:    int 				=    '''xlm'''
   __UpperCamelCase		:    Optional[Any] 				=    {
       '''hidden_size''': '''emb_dim''',
       '''num_attention_heads''': '''n_heads''',
       '''num_hidden_layers''': '''n_layers''',
       '''n_words''': '''vocab_size''',  # For backward compatibility
   }


   def __init__(					self     :							List[Any]			,			lowerCAmelCase_     :							Dict=3_0_1_4_5			,			lowerCAmelCase_     :							Union[str, Any]=2_0_4_8			,			lowerCAmelCase_     :							List[str]=1_2			,			lowerCAmelCase_     :							Optional[Any]=1_6			,			lowerCAmelCase_     :							Union[str, Any]=0.1			,			lowerCAmelCase_     :							List[str]=0.1			,			lowerCAmelCase_     :							Optional[int]=True			,			lowerCAmelCase_     :							List[str]=False			,			lowerCAmelCase_     :							Tuple=False			,			lowerCAmelCase_     :							List[str]=False			,			lowerCAmelCase_     :							Optional[Any]=1			,			lowerCAmelCase_     :							List[str]=True			,			lowerCAmelCase_     :							Tuple=5_1_2			,			lowerCAmelCase_     :							Tuple=2_0_4_8**-0.5			,			lowerCAmelCase_     :							List[str]=1e-12			,			lowerCAmelCase_     :							Any=0.02			,			lowerCAmelCase_     :							int=0			,			lowerCAmelCase_     :							int=1			,			lowerCAmelCase_     :							Dict=2			,			lowerCAmelCase_     :							List[Any]=3			,			lowerCAmelCase_     :							int=5			,			lowerCAmelCase_     :							Optional[int]=True			,			lowerCAmelCase_     :							Union[str, Any]="first"			,			lowerCAmelCase_     :							int=True			,			lowerCAmelCase_     :							List[Any]=None			,			lowerCAmelCase_     :							Any=True			,			lowerCAmelCase_     :							int=0.1			,			lowerCAmelCase_     :							Tuple=5			,			lowerCAmelCase_     :							Tuple=5			,			lowerCAmelCase_     :							Optional[int]=0			,			lowerCAmelCase_     :							Optional[Any]=0			,			lowerCAmelCase_     :							str=2			,			lowerCAmelCase_     :							Dict=0			,			**lowerCAmelCase_     :							List[Any]			,			):

      """simple docstring"""
      _A:  Dict					=       vocab_size
      _A:  Dict					=       emb_dim
      _A:  Optional[Any]					=       n_layers
      _A:  str					=       n_heads
      _A:  Optional[int]					=       dropout
      _A:  Union[str, Any]					=       attention_dropout
      _A:  Any					=       gelu_activation
      _A:  Optional[Any]					=       sinusoidal_embeddings
      _A:  Any					=       causal
      _A:  Optional[int]					=       asm
      _A:  List[str]					=       n_langs
      _A:  int					=       use_lang_emb
      _A:  Any					=       layer_norm_eps
      _A:  Tuple					=       bos_index
      _A:  Any					=       eos_index
      _A:  List[str]					=       pad_index
      _A:  str					=       unk_index
      _A:  str					=       mask_index
      _A:  List[Any]					=       is_encoder
      _A:  List[Any]					=       max_position_embeddings
      _A:  str					=       embed_init_std
      _A:  int					=       init_std
      _A:  List[str]					=       summary_type
      _A:  List[str]					=       summary_use_proj
      _A:  Tuple					=       summary_activation
      _A:  Dict					=       summary_proj_to_labels
      _A:  Tuple					=       summary_first_dropout
      _A:  str					=       start_n_top
      _A:  str					=       end_n_top
      _A:  Optional[Any]					=       mask_token_id
      _A:  Any					=       lang_id

      if "n_words" in kwargs:
         _A:  Union[str, Any]					=       kwargs['''n_words''']

      super().__init__(pad_token_id=lowerCAmelCase_			,			bos_token_id=lowerCAmelCase_			,			**lowerCAmelCase_     )






class UpperCAmelCase   (						SCREAMING_SNAKE_CASE__   ):





   '''simple docstring'''


   @property
   def  __magic_name__				(					self     :							List[str]     ):

      """simple docstring"""
      if self.task == "multiple-choice":
         _A:  int					=       {0: '''batch''', 1: '''choice''', 2: '''sequence'''}
      else:
         _A:  Tuple					=       {0: '''batch''', 1: '''sequence'''}
      return OrderedDict(
          [
              ('''input_ids''', dynamic_axis),
              ('''attention_mask''', dynamic_axis),
              ('''token_type_ids''', dynamic_axis),
          ]     )



