



'''simple docstring'''





from collections import OrderedDict
from typing import Mapping

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


lowercase_		       =  logging.get_logger(__name__)

lowercase_		       =  {
    "facebook/xmod-base": "https://huggingface.co/facebook/xmod-base/resolve/main/config.json",
    "facebook/xmod-large-prenorm": "https://huggingface.co/facebook/xmod-large-prenorm/resolve/main/config.json",
    "facebook/xmod-base-13-125k": "https://huggingface.co/facebook/xmod-base-13-125k/resolve/main/config.json",
    "facebook/xmod-base-30-125k": "https://huggingface.co/facebook/xmod-base-30-125k/resolve/main/config.json",
    "facebook/xmod-base-30-195k": "https://huggingface.co/facebook/xmod-base-30-195k/resolve/main/config.json",
    "facebook/xmod-base-60-125k": "https://huggingface.co/facebook/xmod-base-60-125k/resolve/main/config.json",
    "facebook/xmod-base-60-265k": "https://huggingface.co/facebook/xmod-base-60-265k/resolve/main/config.json",
    "facebook/xmod-base-75-125k": "https://huggingface.co/facebook/xmod-base-75-125k/resolve/main/config.json",
    "facebook/xmod-base-75-269k": "https://huggingface.co/facebook/xmod-base-75-269k/resolve/main/config.json",
}






class __A			(  A						):



 '''simple docstring'''







 __lowerCamelCase    :       Any          =       'xmod'



 def __init__(self ,   A=30_522 ,   A=768 ,   A=12 ,   A=12 ,   A=3_072 ,   A="gelu" ,   A=0.1 ,   A=0.1 ,   A=512 ,   A=2 ,   A=0.02 ,   A=1E-12 ,   A=1 ,   A=0 ,   A=2 ,   A="absolute" ,   A=True ,   A=None ,   A=False ,   A=2 ,   A=False ,   A=True ,   A=True ,   A=("en_XX",) ,   A=None ,   **A ,   )    ->     List[str]:


      """simple docstring"""



      super().__init__(pad_token_id=A ,   bos_token_id=A ,   eos_token_id=A ,   **A       )

      _a      =  vocab_size
      _a      =  hidden_size
      _a      =  num_hidden_layers
      _a      =  num_attention_heads
      _a      =  hidden_act
      _a      =  intermediate_size
      _a      =  hidden_dropout_prob
      _a      =  attention_probs_dropout_prob
      _a      =  max_position_embeddings
      _a      =  type_vocab_size
      _a      =  initializer_range
      _a      =  layer_norm_eps
      _a      =  position_embedding_type
      _a      =  use_cache
      _a      =  classifier_dropout
      _a      =  pre_norm
      _a      =  adapter_reduction_factor
      _a      =  adapter_layer_norm
      _a      =  adapter_reuse_layer_norm
      _a      =  ln_before_adapter
      _a      =  list(A       )
      _a      =  default_language






class __A			(  A						):



 '''simple docstring'''







 @property
 def 					a__  (self       )    ->     Mapping[str, Mapping[int, str]]:


      """simple docstring"""



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








'''simple docstring'''





from math import sqrt




def lowerCAmelCase  (__A):



     """simple docstring"""



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

     _a      =  True

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

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

     return status




def lowerCAmelCase  (__A):



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

     _a      =  []  # 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      =  0

    # filters actual prime numbers.
     _a      =  [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):



     """simple docstring"""



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

     _a      =  []

     # 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):



     """simple docstring"""



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

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

     # potential prime number factors.

     _a      =  2

     _a      =  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):



     """simple docstring"""



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

     _a      =  0

     # prime factorization of 'number'
     _a      =  prime_factorization(__A)

     _a      =  max(__A)

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

     return ans




def lowerCAmelCase  (__A):



     """simple docstring"""



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

     _a      =  0

     # prime factorization of 'number'
     _a      =  prime_factorization(__A)

     _a      =  min(__A)

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

     return ans




def lowerCAmelCase  (__A):



     """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 lowerCAmelCase  (__A):



     """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 lowerCAmelCase  (__A):



     """simple docstring"""



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

     _a      =  []  # this list will returned

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

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

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

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

          while j < len_pn and loop:
               if prime_numbers[i] + prime_numbers[j] == number:
                    _a      =  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):



     """simple docstring"""



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

     _a      =  0

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

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

     return numbera




def lowerCAmelCase  (__A  ,	__A):



     """simple docstring"""



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

     _a      =  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      =  prime_factorization(__A)
          _a      =  prime_factorization(__A)

     elif numbera == 1 or numbera == 1:
          _a      =  []
          _a      =  []
          _a      =  max(__A  ,	__A)

     _a      =  0
     _a      =  0

     _a      =  []  # 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      =  prime_fac_a.count(__A)
                    _a      =  prime_fac_a.count(__A)

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

               else:
                    _a      =  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      =  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):



     """simple docstring"""



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

     _a      =  0
     _a      =  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):



     """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'"

     _a      =  p_number_a + 1  # jump to the next number

     _a      =  []  # 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):



     """simple docstring"""



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

     _a      =  []  # 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):



     """simple docstring"""



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

     _a      =  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):



     """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.
     _a      =  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):



     """simple docstring"""



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

     _a      =  1  # this will be return.

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

     return ans




def lowerCAmelCase  (__A):



     """simple docstring"""



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

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

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

     return ans



