

from math import sqrt







def 			A_      (    _UpperCAmelCase    ):
						assert isinstance(_UpperCAmelCase				,	_UpperCAmelCase    ) and (
						    number >= 0
						), "'number' must been an int and positive"

						SCREAMING_SNAKE_CASE_: Optional[int]  		=       True

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

						for divisor in range(2				,	int(round(sqrt(_UpperCAmelCase    )    )    ) + 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(_UpperCAmelCase				,	_UpperCAmelCase    ), "'status' must been from type bool"

						return status







def 			A_      (    _UpperCAmelCase    ):
						assert isinstance(_UpperCAmelCase				,	_UpperCAmelCase    ) and (n > 2), "'N' must been an int and > 2"

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

						SCREAMING_SNAKE_CASE_: Tuple  		=       []  # this list will be returns.

						# actual sieve of erathostenes
						for i in range(len(_UpperCAmelCase    )    ):
												for j in range(i + 1				,	len(_UpperCAmelCase    )    ):
																		if (begin_list[i] != 0) and (begin_list[j] % begin_list[i] == 0):
																								SCREAMING_SNAKE_CASE_: List[Any]  		=       0

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

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

						return ans







def 			A_      (    _UpperCAmelCase    ):
						assert isinstance(_UpperCAmelCase				,	_UpperCAmelCase    ) and (n > 2), "'N' must been an int and > 2"

						SCREAMING_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(_UpperCAmelCase    ):
																		ans.append(_UpperCAmelCase    )

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

						return ans







def 			A_      (    _UpperCAmelCase    ):
						assert isinstance(_UpperCAmelCase				,	_UpperCAmelCase    ) and number >= 0, "'number' must been an int and >= 0"

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

						# potential prime number factors.

						SCREAMING_SNAKE_CASE_: Union[str, Any]  		=       2

						SCREAMING_SNAKE_CASE_: List[str]  		=       number

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

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

						else:
												ans.append(_UpperCAmelCase    )

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

						return ans







def 			A_      (    _UpperCAmelCase    ):
						assert isinstance(_UpperCAmelCase				,	_UpperCAmelCase    ) and (
						    number >= 0
						), "'number' bust been an int and >= 0"

						SCREAMING_SNAKE_CASE_: int  		=       0

						# prime factorization of 'number'
						SCREAMING_SNAKE_CASE_: List[Any]  		=       prime_factorization(_UpperCAmelCase    )

						SCREAMING_SNAKE_CASE_: Tuple  		=       max(_UpperCAmelCase    )

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

						return ans







def 			A_      (    _UpperCAmelCase    ):
						assert isinstance(_UpperCAmelCase				,	_UpperCAmelCase    ) and (
						    number >= 0
						), "'number' bust been an int and >= 0"

						SCREAMING_SNAKE_CASE_: Optional[Any]  		=       0

						# prime factorization of 'number'
						SCREAMING_SNAKE_CASE_: Dict  		=       prime_factorization(_UpperCAmelCase    )

						SCREAMING_SNAKE_CASE_: Dict  		=       min(_UpperCAmelCase    )

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

						return ans







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

						return number % 2 == 0







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

						return number % 2 != 0







def 			A_      (    _UpperCAmelCase    ):
						assert (
						    isinstance(_UpperCAmelCase				,	_UpperCAmelCase    ) and (number > 2) and is_even(_UpperCAmelCase    )
						), "'number' must been an int, even and > 2"

						SCREAMING_SNAKE_CASE_: Dict  		=       []  # this list will returned

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

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

						# exit variable. for break up the loops
						SCREAMING_SNAKE_CASE_: int  		=       True

						while i < len_pn and loop:
												SCREAMING_SNAKE_CASE_: str  		=       i + 1

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

																		j += 1

												i += 1

						# precondition
						assert (
						    isinstance(_UpperCAmelCase				,	_UpperCAmelCase    )
						    and (len(_UpperCAmelCase    ) == 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_      (    _UpperCAmelCase				,	_UpperCAmelCase    ):
						assert (
						    isinstance(_UpperCAmelCase				,	_UpperCAmelCase    )
						    and isinstance(_UpperCAmelCase				,	_UpperCAmelCase    )
						    and (numbera >= 0)
						    and (numbera >= 0)
						), "'number1' and 'number2' must been positive integer."

						SCREAMING_SNAKE_CASE_: Dict  		=       0

						while numbera != 0:
												SCREAMING_SNAKE_CASE_: Union[str, Any]  		=       numbera % numbera
												SCREAMING_SNAKE_CASE_: List[str]  		=       numbera
												SCREAMING_SNAKE_CASE_: Tuple  		=       rest

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

						return numbera







def 			A_      (    _UpperCAmelCase				,	_UpperCAmelCase    ):
						assert (
						    isinstance(_UpperCAmelCase				,	_UpperCAmelCase    )
						    and isinstance(_UpperCAmelCase				,	_UpperCAmelCase    )
						    and (numbera >= 1)
						    and (numbera >= 1)
						), "'number1' and 'number2' must been positive integer."

						SCREAMING_SNAKE_CASE_: 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'
												SCREAMING_SNAKE_CASE_: Optional[int]  		=       prime_factorization(_UpperCAmelCase    )
												SCREAMING_SNAKE_CASE_: Union[str, Any]  		=       prime_factorization(_UpperCAmelCase    )

						elif numbera == 1 or numbera == 1:
												SCREAMING_SNAKE_CASE_: int  		=       []
												SCREAMING_SNAKE_CASE_: Any  		=       []
												SCREAMING_SNAKE_CASE_: str  		=       max(_UpperCAmelCase				,	_UpperCAmelCase    )

						SCREAMING_SNAKE_CASE_: str  		=       0
						SCREAMING_SNAKE_CASE_: str  		=       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_: Any  		=       prime_fac_a.count(_UpperCAmelCase    )
																								SCREAMING_SNAKE_CASE_: Union[str, Any]  		=       prime_fac_a.count(_UpperCAmelCase    )

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

																		else:
																								SCREAMING_SNAKE_CASE_: int  		=       prime_fac_a.count(_UpperCAmelCase    )

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

																		done.append(_UpperCAmelCase    )

    # iterates through primeFac2
						for n in prime_fac_a:
												if n not in done:
																		SCREAMING_SNAKE_CASE_: Union[str, Any]  		=       prime_fac_a.count(_UpperCAmelCase    )

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

																		done.append(_UpperCAmelCase    )

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

						return ans







def 			A_      (    _UpperCAmelCase    ):
						assert isinstance(_UpperCAmelCase				,	_UpperCAmelCase    ) and (n >= 0), "'number' must been a positive int"

						SCREAMING_SNAKE_CASE_: List[str]  		=       0
						SCREAMING_SNAKE_CASE_: 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(_UpperCAmelCase    ):
																		ans += 1

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

						return ans







def 			A_      (    _UpperCAmelCase				,	_UpperCAmelCase    ):
						assert (
						    is_prime(_UpperCAmelCase    ) and is_prime(_UpperCAmelCase    ) and (p_number_a < p_number_a)
						), "The arguments must been prime numbers and 'pNumber1' < 'pNumber2'"

						SCREAMING_SNAKE_CASE_: List[str]  		=       p_number_a + 1  # jump to the next number

						SCREAMING_SNAKE_CASE_: int  		=       []  # this list will be returns.

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

						while number < p_number_a:
												ans.append(_UpperCAmelCase    )

												number += 1

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

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

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







def 			A_      (    _UpperCAmelCase    ):
						assert isinstance(_UpperCAmelCase				,	_UpperCAmelCase    ) and (n >= 1), "'n' must been int and >= 1"

						SCREAMING_SNAKE_CASE_: Optional[int]  		=       []  # will be returned.

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

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

						return ans







def 			A_      (    _UpperCAmelCase    ):
						assert isinstance(_UpperCAmelCase				,	_UpperCAmelCase    ) and (
						    number > 1
						), "'number' must been an int and >= 1"

						SCREAMING_SNAKE_CASE_: Optional[Any]  		=       get_divisors(_UpperCAmelCase    )

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

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







def 			A_      (    _UpperCAmelCase				,	_UpperCAmelCase    ):
						assert (
						    isinstance(_UpperCAmelCase				,	_UpperCAmelCase    )
						    and isinstance(_UpperCAmelCase				,	_UpperCAmelCase    )
						    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_: Union[str, Any]  		=       gcd(abs(_UpperCAmelCase    )				,	abs(_UpperCAmelCase    )    )

						# precondition
						assert (
						    isinstance(_UpperCAmelCase				,	_UpperCAmelCase    )
						    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_      (    _UpperCAmelCase    ):
						assert isinstance(_UpperCAmelCase				,	_UpperCAmelCase    ) and (n >= 0), "'n' must been a int and >= 0"

						SCREAMING_SNAKE_CASE_: Dict  		=       1  # this will be return.

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

						return ans







def 			A_      (    _UpperCAmelCase    ):
						assert isinstance(_UpperCAmelCase				,	_UpperCAmelCase    ) and (n >= 0), "'n' must been an int and >= 0"

						SCREAMING_SNAKE_CASE_: Optional[int]  		=       0
						SCREAMING_SNAKE_CASE_: Tuple  		=       1
						SCREAMING_SNAKE_CASE_: Any  		=       1  # this will be return

						for _ in range(n - 1    ):
												SCREAMING_SNAKE_CASE_: Optional[int]  		=       ans
												ans += fiba
												SCREAMING_SNAKE_CASE_: Union[str, Any]  		=       tmp

						return ans











from collections import OrderedDict
from typing import Mapping

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


SCREAMING_SNAKE_CASE_:Optional[Any]             =						logging.get_logger(__name__)

SCREAMING_SNAKE_CASE_:Dict             =						{
    """camembert-base""": """https://huggingface.co/camembert-base/resolve/main/config.json""",
    """umberto-commoncrawl-cased-v1""": (
        """https://huggingface.co/Musixmatch/umberto-commoncrawl-cased-v1/resolve/main/config.json"""
    ),
    """umberto-wikipedia-uncased-v1""": (
        """https://huggingface.co/Musixmatch/umberto-wikipedia-uncased-v1/resolve/main/config.json"""
    ),
}






class SCREAMING_SNAKE_CASE__     (		SCREAMING_SNAKE_CASE__    ):




    '''simple docstring'''






    __lowerCamelCase			: Optional[int]					=      "camembert"






    def __init__(       self,		lowerCamelCase__=3_0522,		lowerCamelCase__=768,		lowerCamelCase__=12,		lowerCamelCase__=12,		lowerCamelCase__=3072,		lowerCamelCase__="gelu",		lowerCamelCase__=0.1,		lowerCamelCase__=0.1,		lowerCamelCase__=512,		lowerCamelCase__=2,		lowerCamelCase__=0.02,		lowerCamelCase__=1e-12,		lowerCamelCase__=1,		lowerCamelCase__=0,		lowerCamelCase__=2,		lowerCamelCase__="absolute",		lowerCamelCase__=True,		lowerCamelCase__=None,		**lowerCamelCase__,		):
        super().__init__(pad_token_id=lowerCamelCase__,		bos_token_id=lowerCamelCase__,		eos_token_id=lowerCamelCase__,		**lowerCamelCase__		)

        A :       List[Any]          =   vocab_size
        A :       Dict          =   hidden_size
        A :       str          =   num_hidden_layers
        A :       List[Any]          =   num_attention_heads
        A :       List[str]          =   hidden_act
        A :       Tuple          =   intermediate_size
        A :       Tuple          =   hidden_dropout_prob
        A :       List[Any]          =   attention_probs_dropout_prob
        A :       Optional[int]          =   max_position_embeddings
        A :       Tuple          =   type_vocab_size
        A :       List[Any]          =   initializer_range
        A :       str          =   layer_norm_eps
        A :       Tuple          =   position_embedding_type
        A :       str          =   use_cache
        A :       Any          =   classifier_dropout






class SCREAMING_SNAKE_CASE__     (		SCREAMING_SNAKE_CASE__    ):




    '''simple docstring'''






    @property
    def 			_lowerCAmelCase					(       self		):
        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),
            ]		)


