





from math import sqrt

def     __A      (			a_						:int)		->		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 :						Optional[Any]			       =  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 :						Optional[int]			       =  False
												break

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

				return status

def     __A      (			a_						:Tuple)		->		int:
				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 :						Union[str, Any]			       =  list(range(2   ,       n + 1))

				__a :						str			       =  []  # 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 :						str			       =  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     __A      (			a_						:str)		->		Dict:
				assert isinstance(__A   ,       __A) and (n > 2), "'N' must been an int and > 2"

				__a :						Optional[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     __A      (			a_						:List[str])		->		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 :						Dict			       =  2

				__a :						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_						:Tuple)		->		Optional[int]:
				assert isinstance(__A   ,       __A) and (
				    number >= 0
				), "'number' bust been an int and >= 0"

				__a :						Union[str, Any]			       =  0

				# prime factorization of 'number'
				__a :						Optional[Any]			       =  prime_factorization(__A)

				__a :						str			       =  max(__A)

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

				return ans

def     __A      (			a_						:str)		->		str:
				assert isinstance(__A   ,       __A) and (
				    number >= 0
				), "'number' bust been an int and >= 0"

				__a :						List[Any]			       =  0

				# prime factorization of 'number'
				__a :						Tuple			       =  prime_factorization(__A)

				__a :						Tuple			       =  min(__A)

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

				return ans

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

				__a :						List[Any]			       =  []  # this list will returned

				# creates a list of prime numbers between 2 up to 'number'
				__a :						Any			       =  get_prime_numbers(__A)
				__a :						Tuple			       =  len(__A)

				# run variable for while-loops.
				__a :						str			       =  0
				__a :						Dict			       =  None

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

				while i < len_pn and loop:
								__a :						int			       =  i + 1

								while j < len_pn and loop:
												if prime_numbers[i] + prime_numbers[j] == number:
																__a :						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_						:int   ,       a_						:Dict)		->		str:
				assert (
				    isinstance(__A   ,       __A)
				    and isinstance(__A   ,       __A)
				    and (numbera >= 0)
				    and (numbera >= 0)
				), "'number1' and 'number2' must been positive integer."

				__a :						List[str]			       =  0

				while numbera != 0:
								__a :						int			       =  numbera % numbera
								__a :						int			       =  numbera
								__a :						Union[str, Any]			       =  rest

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

				return numbera

def     __A      (			a_						:Optional[Any]   ,       a_						:Any)		->		Union[str, Any]:
				assert (
				    isinstance(__A   ,       __A)
				    and isinstance(__A   ,       __A)
				    and (numbera >= 1)
				    and (numbera >= 1)
				), "'number1' and 'number2' must been positive integer."

				__a :						Optional[int]			       =  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 :						Dict			       =  prime_factorization(__A)

				elif numbera == 1 or numbera == 1:
								__a :						List[Any]			       =  []
								__a :						str			       =  []
								__a :						int			       =  max(__A   ,       __A)

				__a :						int			       =  0
				__a :						Optional[int]			       =  0

				__a :						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 :						Any			       =  prime_fac_a.count(__A)
																__a :						int			       =  prime_fac_a.count(__A)

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

												else:
																__a :						Optional[Any]			       =  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     __A      (			a_						:Any)		->		Union[str, Any]:
				assert isinstance(__A   ,       __A) and (n >= 0), "'number' must been a positive int"

				__a :						str			       =  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     __A      (			a_						:Tuple   ,       a_						:List[Any])		->		Tuple:
				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 :						Any			       =  p_number_a + 1  # jump to the next number

				__a :						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_						:Union[str, Any])		->		List[Any]:
				assert isinstance(__A   ,       __A) and (n >= 1), "'n' must been int and >= 1"

				__a :						Union[str, 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_						:str)		->		Any:
				assert isinstance(__A   ,       __A) and (
				    number > 1
				), "'number' must been an int and >= 1"

				__a :						List[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_						:Dict   ,       a_						:List[str])		->		List[Any]:
				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 :						Any			       =  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[str])		->		Tuple:
				assert isinstance(__A   ,       __A) and (n >= 0), "'n' must been a int and >= 0"

				__a :						List[str]			       =  1  # this will be return.

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

				return ans






def     __A      (			a_						:Union[str, Any])		->		Optional[int]:
				assert isinstance(__A   ,       __A) and (n >= 0), "'n' must been an int and >= 0"

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

				for _ in range(n - 1):
								__a :						str			       =  ans
								ans += fiba
								__a :						Tuple			       =  tmp

				return ans






"""simple docstring"""






import html

from ...feature_extraction_utils import BatchFeature, FeatureExtractionMixin
from ...utils import is_bsa_available, logging, requires_backends


if is_bsa_available():
		import bsa
		from bsa import BeautifulSoup


A 			=  logging.get_logger(__name__)




class 				__lowercase			(			_UpperCamelCase							):







					'''simple docstring'''




					def __init__(						self	,			**_UpperCAmelCase     ):
									requires_backends(self	,			['''bs4''']     )
									super().__init__(**_UpperCAmelCase     )







					def  _lowerCamelCase		(						self	,			_UpperCAmelCase     ):
									__a :						Tuple			       =  []
									__a :						Dict			       =  []
									__a :						int			       =  element if element.name else element.parent
									for parent in child.parents:  # type: bs4.element.Tag
													__a :						Dict			       =  parent.find_all(child.name	,			recursive=_UpperCAmelCase     )
													xpath_tags.append(child.name     )
													xpath_subscripts.append(
													    0 if 1 == len(_UpperCAmelCase     ) else next(i for i, s in enumerate(_UpperCAmelCase	,			1     ) if s is child     )     )
													__a :						Any			       =  parent
									xpath_tags.reverse()
									xpath_subscripts.reverse()
									return xpath_tags, xpath_subscripts







					def  _lowerCamelCase		(						self	,			_UpperCAmelCase     ):
									__a :						Dict			       =  BeautifulSoup(_UpperCAmelCase	,			'''html.parser'''     )

									__a :						Any			       =  []
									__a :						Dict			       =  []
									__a :						Optional[int]			       =  []

									for element in html_code.descendants:
													if type(_UpperCAmelCase     ) == bsa.element.NavigableString:
																	if type(element.parent     ) != bsa.element.Tag:
																					continue

																	__a :						Dict			       =  html.unescape(_UpperCAmelCase     ).strip()
																	if not text_in_this_tag:
																					continue

																	all_doc_strings.append(_UpperCAmelCase     )

																	__a       ,						__a :						List[Any]			       =  self.xpath_soup(_UpperCAmelCase     )
																	stringaxtag_seq.append(_UpperCAmelCase     )
																	stringaxsubs_seq.append(_UpperCAmelCase     )

									if len(_UpperCAmelCase     ) != len(_UpperCAmelCase     ):
													raise ValueError('''Number of doc strings and xtags does not correspond'''     )
									if len(_UpperCAmelCase     ) != len(_UpperCAmelCase     ):
													raise ValueError('''Number of doc strings and xsubs does not correspond'''     )

									return all_doc_strings, stringaxtag_seq, stringaxsubs_seq







					def  _lowerCamelCase		(						self	,			_UpperCAmelCase	,			_UpperCAmelCase     ):
									__a :						List[str]			       =  ''''''
									for tagname, subs in zip(_UpperCAmelCase	,			_UpperCAmelCase     ):
													xpath += f"""/{tagname}"""
													if subs != 0:
																	xpath += f"""[{subs}]"""
									return xpath







					def __call__(						self	,			_UpperCAmelCase     ):
									__a :						Optional[Any]			       =  False

									# Check that strings has a valid type
									if isinstance(_UpperCAmelCase	,			_UpperCAmelCase     ):
													__a :						str			       =  True
									elif isinstance(_UpperCAmelCase	,			(list, tuple)     ):
													if len(_UpperCAmelCase     ) == 0 or isinstance(html_strings[0]	,			_UpperCAmelCase     ):
																	__a :						Optional[Any]			       =  True

									if not valid_strings:
													raise ValueError(
													    '''HTML strings must of type `str`, `List[str]` (batch of examples), '''
													    f"""but is of type {type(_UpperCAmelCase     )}."""     )

									__a :						List[str]			       =  bool(isinstance(_UpperCAmelCase	,			(list, tuple)     ) and (isinstance(html_strings[0]	,			_UpperCAmelCase     ))     )

									if not is_batched:
													__a :						List[Any]			       =  [html_strings]

									# Get nodes + xpaths
									__a :						Tuple			       =  []
									__a :						int			       =  []
									for html_string in html_strings:
													__a       ,						__a       ,						__a :						Any			       =  self.get_three_from_single(_UpperCAmelCase     )
													nodes.append(_UpperCAmelCase     )
													__a :						List[Any]			       =  []
													for node, tag_list, sub_list in zip(_UpperCAmelCase	,			_UpperCAmelCase	,			_UpperCAmelCase     ):
																	__a :						Optional[int]			       =  self.construct_xpath(_UpperCAmelCase	,			_UpperCAmelCase     )
																	xpath_strings.append(_UpperCAmelCase     )
													xpaths.append(_UpperCAmelCase     )

									# return as Dict
									__a :						int			       =  {'''nodes''': nodes, '''xpaths''': xpaths}
									__a :						Any			       =  BatchFeature(data=_UpperCAmelCase	,			tensor_type=_UpperCAmelCase     )

									return encoded_inputs