






from math import sqrt







def 			A__							(	_a  :					int	):





 '''simple docstring'''







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

 snake_case__  :    int							       =True

 # 0 and 1 are none primes.
 if number <= 1:
  snake_case__  :    Optional[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:
   snake_case__  :    str							       =False
   break

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

 return status







def 			A__							(	_a  :					Any	):





 '''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
 snake_case__  :    Dict							       =list(range(2		,  n + 1	)	)

 snake_case__  :    Any							       =[]  # 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__  :    Any							       =0

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

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

 return ans







def 			A__							(	_a  :					Any	):





 '''simple docstring'''







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

 snake_case__  :    List[str]							       =[]

 # 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 			A__							(	_a  :					List[Any]	):





 '''simple docstring'''







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

 snake_case__  :    str							       =[]  # this list will be returns of the function.

 # potential prime number factors.

 snake_case__  :    Dict							       =2

 snake_case__  :    Tuple							       =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 			A__							(	_a  :					List[Any]	):





 '''simple docstring'''







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

 snake_case__  :    List[Any]							       =0

 # prime factorization of 'number'
 snake_case__  :    List[Any]							       =prime_factorization(_a	)

 snake_case__  :    Tuple							       =max(_a	)

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

 return ans







def 			A__							(	_a  :					Tuple	):





 '''simple docstring'''







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

 snake_case__  :    str							       =0

 # prime factorization of 'number'
 snake_case__  :    str							       =prime_factorization(_a	)

 snake_case__  :    int							       =min(_a	)

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

 return ans







def 			A__							(	_a  :					int	):





 '''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 			A__							(	_a  :					Dict	):





 '''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 			A__							(	_a  :					str	):





 '''simple docstring'''







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

 snake_case__  :    Dict							       =[]  # this list will returned

 # creates a list of prime numbers between 2 up to 'number'
 snake_case__  :    Optional[int]							       =get_prime_numbers(_a	)
 snake_case__  :    Union[str, Any]							       =len(_a	)

 # run variable for while-loops.
 snake_case__  :    Any							       =0
 snake_case__  :    Optional[int]							       =None

 # exit variable. for break up the loops
 snake_case__  :    str							       =True

 while i < len_pn and loop:
  snake_case__  :    Tuple							       =i + 1

  while j < len_pn and loop:
   if prime_numbers[i] + prime_numbers[j] == number:
    snake_case__  :    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 			A__							(	_a  :					Optional[Any]		,  _a  :					Union[str, Any]	):





 '''simple docstring'''







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

 snake_case__  :    Tuple							       =0

 while numbera != 0:
  snake_case__  :    Any							       =numbera % numbera
  snake_case__  :    int							       =numbera
  snake_case__  :    str							       =rest

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

 return numbera







def 			A__							(	_a  :					Tuple		,  _a  :					Optional[Any]	):





 '''simple docstring'''







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

 snake_case__  :    List[str]							       =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__  :    str							       =prime_factorization(_a	)
  snake_case__  :    Any							       =prime_factorization(_a	)

 elif numbera == 1 or numbera == 1:
  snake_case__  :    Optional[Any]							       =[]
  snake_case__  :    Dict							       =[]
  snake_case__  :    Dict							       =max(_a		,  _a	)

 snake_case__  :    Any							       =0
 snake_case__  :    Dict							       =0

 snake_case__  :    Optional[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:
    snake_case__  :    int							       =prime_fac_a.count(_a	)
    snake_case__  :    List[str]							       =prime_fac_a.count(_a	)

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

   else:
    snake_case__  :    str							       =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__  :    Tuple							       =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 			A__							(	_a  :					Optional[int]	):





 '''simple docstring'''







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

 snake_case__  :    List[Any]							       =0
 snake_case__  :    Union[str, Any]							       =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 			A__							(	_a  :					List[Any]		,  _a  :					List[str]	):





 '''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'"

 snake_case__  :    Dict							       =p_number_a + 1  # jump to the next number

 snake_case__  :    List[str]							       =[]  # 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 			A__							(	_a  :					Any	):





 '''simple docstring'''







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

 snake_case__  :    Any							       =[]  # 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 			A__							(	_a  :					Any	):





 '''simple docstring'''







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

 snake_case__  :    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 			A__							(	_a  :					str		,  _a  :					Tuple	):





 '''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.
 snake_case__  :    List[str]							       =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 			A__							(	_a  :					List[Any]	):





 '''simple docstring'''







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

 snake_case__  :    Any							       =1  # this will be return.

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

 return ans







def 			A__							(	_a  :					Union[str, Any]	):





 '''simple docstring'''







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

 snake_case__  :    List[Any]							       =0
 snake_case__  :    Union[str, Any]							       =1
 snake_case__  :    List[str]							       =1  # this will be return

 for _ in range(n - 1	):
  snake_case__  :    Tuple							       =ans
  ans += fiba
  snake_case__  :    Optional[int]							       =tmp

 return ans













import argparse

from transformers import BigBirdConfig, BigBirdForPreTraining, BigBirdForQuestionAnswering, load_tf_weights_in_big_bird
from transformers.utils import logging


logging.set_verbosity_info()







def 			A__							(      _a  :					int		,  _a  :					Any		,  _a  :					Union[str, Any]		,  _a  :					Tuple	):





 '''simple docstring'''







 snake_case__  :    Any							       =BigBirdConfig.from_json_file(_a	)
 print(f"Building PyTorch model from configuration: {config}"	)

 if is_trivia_qa:
  snake_case__  :    str							       =BigBirdForQuestionAnswering(_a	)
 else:
  snake_case__  :    Optional[int]							       =BigBirdForPreTraining(_a	)

 # Load weights from tf checkpoint
 load_tf_weights_in_big_bird(_a		,  _a		,  is_trivia_qa=_a	)

 # Save pytorch-model
 print(f"Save PyTorch model to {pytorch_dump_path}"	)
 model.save_pretrained(_a	)


if __name__ == "__main__":
       __lowerCamelCase	:		Union[str, Any]										=   argparse.ArgumentParser()
       # Required parameters
       parser.add_argument(
           """--tf_checkpoint_path""", default=None, type=str, required=True, help="""Path to the TensorFlow checkpoint path."""
       )
       parser.add_argument(
           """--big_bird_config_file""",
           default=None,
           type=str,
           required=True,
           help=(
               """The config json file corresponding to the pre-trained BERT model. \n"""
               """This specifies the model architecture."""
           ),
       )
       parser.add_argument(
           """--pytorch_dump_path""", default=None, type=str, required=True, help="""Path to the output PyTorch model."""
       )
       parser.add_argument(
           """--is_trivia_qa""", action="""store_true""", help="""Whether to convert a model with a trivia_qa head."""
       )
       __lowerCamelCase	:		Tuple										=   parser.parse_args()
       convert_tf_checkpoint_to_pytorch(
           args.tf_checkpoint_path, args.big_bird_config_file, args.pytorch_dump_path, args.is_trivia_qa
       )





