


from math import sqrt


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

						__SCREAMING_SNAKE_CASE						:     str					=		True

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

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

						return status


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

						# beginList: contains all natural numbers from 2 up to N
						__SCREAMING_SNAKE_CASE						:     Optional[Any]					=		list(range(2    ,       n + 1      )      )

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

    # filters actual prime numbers.
						__SCREAMING_SNAKE_CASE						:     Tuple					=		[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__      ):
						assert isinstance(lowercase__    ,       lowercase__      ) and (n > 2), "'N' must been an int and > 2"

						__SCREAMING_SNAKE_CASE						:     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(lowercase__      ):
																		ans.append(lowercase__      )

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

						return ans


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

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

						# potential prime number factors.

						__SCREAMING_SNAKE_CASE						:     Union[str, Any]					=		2

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

						__SCREAMING_SNAKE_CASE						:     Optional[Any]					=		0

						# prime factorization of 'number'
						__SCREAMING_SNAKE_CASE						:     Optional[Any]					=		prime_factorization(lowercase__      )

						__SCREAMING_SNAKE_CASE						:     Tuple					=		max(lowercase__      )

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

						return ans


def        _UpperCamelCase							(      lowercase__      ):
						assert isinstance(lowercase__    ,       lowercase__      ) 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(lowercase__      )

						__SCREAMING_SNAKE_CASE						:     Union[str, Any]					=		min(lowercase__      )

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

						return ans


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

						__SCREAMING_SNAKE_CASE						:     Tuple					=		[]  # this list will returned

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

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

						# exit variable. for break up the loops
						__SCREAMING_SNAKE_CASE						:     Any					=		True

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

												while j < len_pn and loop:
																		if prime_numbers[i] + prime_numbers[j] == number:
																								__SCREAMING_SNAKE_CASE						:     List[str]					=		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__    ,       lowercase__      ):
						assert (
						    isinstance(lowercase__    ,       lowercase__      )
						    and isinstance(lowercase__    ,       lowercase__      )
						    and (numbera >= 0)
						    and (numbera >= 0)
						), "'number1' and 'number2' must been positive integer."

						__SCREAMING_SNAKE_CASE						:     Any					=		0

						while numbera != 0:
												__SCREAMING_SNAKE_CASE						:     List[Any]					=		numbera % numbera
												__SCREAMING_SNAKE_CASE						:     Optional[int]					=		numbera
												__SCREAMING_SNAKE_CASE						:     Optional[int]					=		rest

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

						return numbera


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

						__SCREAMING_SNAKE_CASE						:     Dict					=		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						:     Any					=		prime_factorization(lowercase__      )
												__SCREAMING_SNAKE_CASE						:     Dict					=		prime_factorization(lowercase__      )

						elif numbera == 1 or numbera == 1:
												__SCREAMING_SNAKE_CASE						:     List[str]					=		[]
												__SCREAMING_SNAKE_CASE						:     List[Any]					=		[]
												__SCREAMING_SNAKE_CASE						:     Optional[Any]					=		max(lowercase__    ,       lowercase__      )

						__SCREAMING_SNAKE_CASE						:     int					=		0
						__SCREAMING_SNAKE_CASE						:     List[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						:     int					=		prime_fac_a.count(lowercase__      )
																								__SCREAMING_SNAKE_CASE						:     str					=		prime_fac_a.count(lowercase__      )

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

																		else:
																								__SCREAMING_SNAKE_CASE						:     str					=		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:
																		__SCREAMING_SNAKE_CASE						:     str					=		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__      ):
						assert isinstance(lowercase__    ,       lowercase__      ) and (n >= 0), "'number' must been a positive int"

						__SCREAMING_SNAKE_CASE						:     int					=		0
						__SCREAMING_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(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__    ,       lowercase__      ):
						assert (
						    is_prime(lowercase__      ) and is_prime(lowercase__      ) and (p_number_a < p_number_a)
						), "The arguments must been prime numbers and 'pNumber1' < 'pNumber2'"

						__SCREAMING_SNAKE_CASE						:     Optional[Any]					=		p_number_a + 1  # jump to the next number

						__SCREAMING_SNAKE_CASE						:     Optional[Any]					=		[]  # 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__      ):
						assert isinstance(lowercase__    ,       lowercase__      ) and (n >= 1), "'n' must been int and >= 1"

						__SCREAMING_SNAKE_CASE						:     List[str]					=		[]  # 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__      ):
						assert isinstance(lowercase__    ,       lowercase__      ) and (
						    number > 1
						), "'number' must been an int and >= 1"

						__SCREAMING_SNAKE_CASE						:     str					=		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__    ,       lowercase__      ):
						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.
						__SCREAMING_SNAKE_CASE						:     Optional[Any]					=		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__      ):
						assert isinstance(lowercase__    ,       lowercase__      ) and (n >= 0), "'n' must been a int and >= 0"

						__SCREAMING_SNAKE_CASE						:     Any					=		1  # this will be return.

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

						return ans


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

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

						for _ in range(n - 1      ):
												__SCREAMING_SNAKE_CASE						:     Optional[Any]					=		ans
												ans += fiba
												__SCREAMING_SNAKE_CASE						:     Optional[Any]					=		tmp

						return ans




import json
from typing import TYPE_CHECKING, List, Optional, Tuple

from tokenizers import pre_tokenizers

from ...tokenization_utils_fast import PreTrainedTokenizerFast
from ...utils import logging


if TYPE_CHECKING:
						from transformers.pipelines.conversational import Conversation


__lowerCAmelCase	: Optional[int]  				=logging.get_logger(__name__)

__lowerCAmelCase	: Optional[Any]  				={'vocab_file': 'vocab.json', 'merges_file': 'merges.txt', 'tokenizer_file': 'tokenizer.json'}

__lowerCAmelCase	: List[str]  				={
    'tokenizer_file': {
        'EleutherAI/gpt-neox-20b': 'https://huggingface.co/EleutherAI/gpt-neox-20b/resolve/main/tokenizer.json',
    },
}

__lowerCAmelCase	: Optional[int]  				={
    'gpt-neox-20b': 2_0_4_8,
}
class        _lowercase      (			A__       ):






				'''simple docstring'''



				SCREAMING_SNAKE_CASE__				:			str						=		VOCAB_FILES_NAMES
				SCREAMING_SNAKE_CASE__				:			Dict						=		PRETRAINED_VOCAB_FILES_MAP
				SCREAMING_SNAKE_CASE__				:			Any						=		PRETRAINED_POSITIONAL_EMBEDDINGS_SIZES
				SCREAMING_SNAKE_CASE__				:			Optional[Any]						=		['''input_ids''', '''attention_mask''']


				def __init__(       self			:int			,			lowerCAmelCase__			:Any=None			,			lowerCAmelCase__			:Optional[Any]=None			,			lowerCAmelCase__			:List[Any]=None			,			lowerCAmelCase__			:str="<|endoftext|>"			,			lowerCAmelCase__			:str="<|endoftext|>"			,			lowerCAmelCase__			:Dict="<|endoftext|>"			,			lowerCAmelCase__			:Union[str, Any]=False			,			**lowerCAmelCase__			:List[str]			,			)		->			Any:
										super().__init__(
										    lowerCAmelCase__			,			lowerCAmelCase__			,			tokenizer_file=lowerCAmelCase__			,			unk_token=lowerCAmelCase__			,			bos_token=lowerCAmelCase__			,			eos_token=lowerCAmelCase__			,			add_prefix_space=lowerCAmelCase__			,			**lowerCAmelCase__			,			)

										__SCREAMING_SNAKE_CASE						:     List[Any]					=		json.loads(self.backend_tokenizer.pre_tokenizer.__getstate__()	)
										if pre_tok_state.get('''add_prefix_space'''			,			lowerCAmelCase__	) != add_prefix_space:
																__SCREAMING_SNAKE_CASE						:     List[str]					=		getattr(lowerCAmelCase__			,			pre_tok_state.pop('''type'''	)	)
																__SCREAMING_SNAKE_CASE						:     str					=		add_prefix_space
																__SCREAMING_SNAKE_CASE						:     Any					=		pre_tok_class(**lowerCAmelCase__	)

										__SCREAMING_SNAKE_CASE						:     Optional[int]					=		add_prefix_space


				def 		__magic_name__(       self			:Union[str, Any]			,			lowerCAmelCase__			:str			,			lowerCAmelCase__			:Optional[str] = None	)		->			Tuple[str]:
										__SCREAMING_SNAKE_CASE						:     List[str]					=		self._tokenizer.model.save(lowerCAmelCase__			,			name=lowerCAmelCase__	)
										return tuple(lowerCAmelCase__	)



				def 		__magic_name__(       self			:Optional[Any]			,			lowerCAmelCase__			:"Conversation"	)		->			List[int]:
										__SCREAMING_SNAKE_CASE						:     Optional[Any]					=		[]
										for is_user, text in conversation.iter_texts():
																input_ids.extend(self.encode(lowerCAmelCase__			,			add_special_tokens=lowerCAmelCase__	) + [self.eos_token_id]	)

										if len(lowerCAmelCase__	) > self.model_max_length:
																__SCREAMING_SNAKE_CASE						:     List[str]					=		input_ids[-self.model_max_length :]
										return input_ids
