






"""simple docstring"""
import unittest

from transformers.testing_utils import require_bsa
from transformers.utils import is_bsa_available

from ...test_feature_extraction_common import FeatureExtractionSavingTestMixin


if is_bsa_available():
			from transformers import MarkupLMFeatureExtractor







class      UpperCamelCase_			(unittest.TestCase	):





	def __init__( self   :					str      ,      lowerCAmelCase_   :					Any		)		->     Tuple:
				UpperCAmelCase_	:					List[str]     	=   parent





	def 	_SCREAMING_SNAKE_CASE ( self   :					Tuple		)		->     Optional[Any]:
				return {}





def 							snake_case (  ):
			UpperCAmelCase_	:					Dict     	=   "<HTML>\n\n    <HEAD>\n    <TITLE>sample document</TITLE>\n    </HEAD>\n\n    <BODY BGCOLOR=\"FFFFFF\">\n    <HR>\n    <a href=\"http://google.com\">Goog</a>\n    <H1>This is one header</H1>\n    <H2>This is a another Header</H2>\n    <P>Travel from\n        <P>\n        <B>SFO to JFK</B>\n        <BR>\n        <B><I>on May 2, 2015 at 2:00 pm. For details go to confirm.com </I></B>\n        <HR>\n        <div style=\"color:#0000FF\">\n            <h3>Traveler <b> name </b> is\n            <p> John Doe </p>\n        </div>"

			UpperCAmelCase_	:					List[Any]     	=   "\n    <!DOCTYPE html>\n    <html>\n    <body>\n\n    <h1>My First Heading</h1>\n    <p>My first paragraph.</p>\n\n    </body>\n    </html>\n    "

			return [html_string_a, html_string_a]







@require_bsa
class      UpperCamelCase_			(__A							,		unittest.TestCase	):
	__magic_name__       =							MarkupLMFeatureExtractor if is_bsa_available() else None





	def 	_SCREAMING_SNAKE_CASE ( self   :					Optional[Any]		)		->     Optional[int]:
				UpperCAmelCase_	:					List[str]     	=   MarkupLMFeatureExtractionTester(self		)





	@property
	def 	_SCREAMING_SNAKE_CASE ( self   :					Optional[int]		)		->     Optional[Any]:
				return self.feature_extract_tester.prepare_feat_extract_dict()





	def 	_SCREAMING_SNAKE_CASE ( self   :					Any		)		->     Optional[int]:
				# Initialize feature_extractor
				UpperCAmelCase_	:					Optional[Any]     	=   self.feature_extraction_class()

				# Test not batched input
				UpperCAmelCase_	:					Dict     	=   get_html_strings()[0]
				UpperCAmelCase_	:					Dict     	=   feature_extractor(lowerCAmelCase_		)

				# fmt: off
				UpperCAmelCase_	:					Union[str, Any]     	=   [["sample document", "Goog", "This is one header", "This is a another Header", "Travel from", "SFO to JFK", "on May 2, 2015 at 2:00 pm. For details go to confirm.com", "Traveler", "name", "is", "John Doe"]]
				UpperCAmelCase_	:					List[str]     	=   [["/html/head/title", "/html/body/a", "/html/body/h1", "/html/body/h2", "/html/body/p", "/html/body/p/p/b[1]", "/html/body/p/p/b[2]/i", "/html/body/p/p/div/h3", "/html/body/p/p/div/h3/b", "/html/body/p/p/div/h3", "/html/body/p/p/div/h3/p"]]
				# fmt: on

				self.assertEqual(encoding.nodes      ,      lowerCAmelCase_		)
				self.assertEqual(encoding.xpaths      ,      lowerCAmelCase_		)

				# Test batched
				UpperCAmelCase_	:					Any     	=   get_html_strings()
				UpperCAmelCase_	:					List[Any]     	=   feature_extractor(lowerCAmelCase_		)

				# fmt: off
				UpperCAmelCase_	:					List[Any]     	=   expected_nodes + [["My First Heading", "My first paragraph."]]
				UpperCAmelCase_	:					Tuple     	=   expected_xpaths + [["/html/body/h1", "/html/body/p"]]

				self.assertEqual(len(encoding.nodes		)      ,      2		)
				self.assertEqual(len(encoding.xpaths		)      ,      2		)

				self.assertEqual(encoding.nodes      ,      lowerCAmelCase_		)
				self.assertEqual(encoding.xpaths      ,      lowerCAmelCase_		)











"""simple docstring"""
from __future__ import annotations

from fractions import Fraction
from math import gcd, sqrt

def 							snake_case (  A__		):
			UpperCAmelCase_	:					int     	=   int(number**0.5		)
			return number == sq * sq

def 							snake_case (  A__      ,A__      ,A__      ,A__      ,A__      ,A__		):
			UpperCAmelCase_	:					int     	=   x_num * y_den * z_den + y_num * x_den * z_den + z_num * x_den * y_den
			UpperCAmelCase_	:					int     	=   x_den * y_den * z_den
			UpperCAmelCase_	:					int     	=   gcd(A__      ,A__		)
			top //= hcf
			bottom //= hcf
			return top, bottom

def 							snake_case (  A__ = 35		):
			UpperCAmelCase_	:					set     	=   set()
			UpperCAmelCase_	:					int
			UpperCAmelCase_	:					Fraction     	=   Fraction(0		)
			UpperCAmelCase_	:					tuple[int, int]

			for x_num in range(1      ,order + 1		):
						for x_den in range(x_num + 1      ,order + 1		):
									for y_num in range(1      ,order + 1		):
												for y_den in range(y_num + 1      ,order + 1		):
															# n=1
															UpperCAmelCase_	:					Optional[int]     	=   x_num * y_den + x_den * y_num
															UpperCAmelCase_	:					List[Any]     	=   x_den * y_den
															UpperCAmelCase_	:					Tuple     	=   gcd(A__      ,A__		)
															z_num //= hcf
															z_den //= hcf
															if 0 < z_num < z_den <= order:
																		UpperCAmelCase_	:					int     	=   add_three(
																		    A__      ,A__      ,A__      ,A__      ,A__      ,A__		)
																		unique_s.add(A__		)

															# n=2
															UpperCAmelCase_	:					Optional[Any]     	=   (
															    x_num * x_num * y_den * y_den + x_den * x_den * y_num * y_num
															)
															UpperCAmelCase_	:					Dict     	=   x_den * x_den * y_den * y_den
															if is_sq(A__		) and is_sq(A__		):
																		UpperCAmelCase_	:					int     	=   int(sqrt(A__		)		)
																		UpperCAmelCase_	:					Any     	=   int(sqrt(A__		)		)
																		UpperCAmelCase_	:					str     	=   gcd(A__      ,A__		)
																		z_num //= hcf
																		z_den //= hcf
																		if 0 < z_num < z_den <= order:
																					UpperCAmelCase_	:					Tuple     	=   add_three(
																					    A__      ,A__      ,A__      ,A__      ,A__      ,A__		)
																					unique_s.add(A__		)

                    # n=-1
															UpperCAmelCase_	:					Optional[int]     	=   x_num * y_num
															UpperCAmelCase_	:					Dict     	=   x_den * y_num + x_num * y_den
															UpperCAmelCase_	:					Union[str, Any]     	=   gcd(A__      ,A__		)
															z_num //= hcf
															z_den //= hcf
															if 0 < z_num < z_den <= order:
																		UpperCAmelCase_	:					List[Any]     	=   add_three(
																		    A__      ,A__      ,A__      ,A__      ,A__      ,A__		)
																		unique_s.add(A__		)

															# n=2
															UpperCAmelCase_	:					Optional[Any]     	=   x_num * x_num * y_num * y_num
															UpperCAmelCase_	:					Dict     	=   (
															    x_den * x_den * y_num * y_num + x_num * x_num * y_den * y_den
															)
															if is_sq(A__		) and is_sq(A__		):
																		UpperCAmelCase_	:					str     	=   int(sqrt(A__		)		)
																		UpperCAmelCase_	:					int     	=   int(sqrt(A__		)		)
																		UpperCAmelCase_	:					Optional[Any]     	=   gcd(A__      ,A__		)
																		z_num //= hcf
																		z_den //= hcf
																		if 0 < z_num < z_den <= order:
																					UpperCAmelCase_	:					Optional[int]     	=   add_three(
																					    A__      ,A__      ,A__      ,A__      ,A__      ,A__		)
																					unique_s.add(A__		)

			for num, den in unique_s:
						total += Fraction(A__      ,A__		)

			return total.denominator + total.numerator


if __name__ == "__main__":
			print(f'{solution() = }')



