



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 					__A       (			unittest.TestCase   ):





			def __init__(self				,     __magic_name__					):
						lowerCamelCase__			:   List[Any]										=		parent





			def 							_snake_case     (self					):
						return {}







def   _A					()	->Dict:



			'''simple docstring'''







			lowerCamelCase__			:   List[Any]										=		"""<HTML>

    <HEAD>
    <TITLE>sample document</TITLE>
    </HEAD>

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

			lowerCamelCase__			:   Any										=		"""
    <!DOCTYPE html>
    <html>
    <body>

    <h1>My First Heading</h1>
    <p>My first paragraph.</p>

    </body>
    </html>
    """

			return [html_string_a, html_string_a]
@require_bsa
class 					__A       (			lowerCamelCase__       ,			unittest.TestCase   ):
			UpperCamelCase       :Optional[Any]	 =      MarkupLMFeatureExtractor if is_bsa_available() else None





			def 							_snake_case     (self					):
						lowerCamelCase__			:   Any										=		MarkupLMFeatureExtractionTester(self					)





			@property
			def 							_snake_case     (self					):
						return self.feature_extract_tester.prepare_feat_extract_dict()





			def 							_snake_case     (self					):
						lowerCamelCase__			:   int										=		self.feature_extraction_class()

						# Test not batched input
						lowerCamelCase__			:   Union[str, Any]										=		get_html_strings()[0]
						lowerCamelCase__			:   Tuple										=		feature_extractor(snake_case__					)

						# fmt: off
						lowerCamelCase__			:   str										=		[["""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"""]]
						lowerCamelCase__			:   List[Any]										=		[["""/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				,     snake_case__					)
						self.assertEqual(encoding.xpaths				,     snake_case__					)

						# Test batched
						lowerCamelCase__			:   Tuple										=		get_html_strings()
						lowerCamelCase__			:   List[str]										=		feature_extractor(snake_case__					)

						# fmt: off
						lowerCamelCase__			:   int										=		expected_nodes + [["""My First Heading""", """My first paragraph."""]]
						lowerCamelCase__			:   Dict										=		expected_xpaths + [["""/html/body/h1""", """/html/body/p"""]]

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

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










from __future__ import annotations

from math import gcd





def  __magic_name__  (				lowercase				,       lowercase = 2				,       lowercase = 1				,       lowercase = 3				,       )				-> int | None:

							"""simple docstring"""



							if num < 2:
														raise ValueError("""The input value cannot be less than 2"""				)

							# Because of the relationship between ``f(f(x))`` and ``f(x)``, this
							# algorithm struggles to find factors that are divisible by two.
							# As a workaround, we specifically check for two and even inputs.
							#   See: https://math.stackexchange.com/a/2856214/165820
							if num > 2 and num % 2 == 0:
														return 2

							# Pollard's Rho algorithm requires a function that returns pseudorandom
							# values between 0 <= X < ``num``.  It doesn't need to be random in the
							# sense that the output value is cryptographically secure or difficult
							# to calculate, it only needs to be random in the sense that all output
							# values should be equally likely to appear.
							# For this reason, Pollard suggested using ``f(x) = (x**2 - 1) % num``
							# However, the success of Pollard's algorithm isn't guaranteed and is
							# determined in part by the initial seed and the chosen random function.
							# To make retries easier, we will instead use ``f(x) = (x**2 + C) % num``
							# where ``C`` is a value that we can modify between each attempt.
							def rand_fn(lowercase				,       lowercase				,       lowercase				) -> int:
														return (pow(lowercase				,       2				) + step) % modulus

							for _ in range(lowercase				):
														# These track the position within the cycle detection logic.
														lowercase_	:   List[Any]  				=     seed
														lowercase_	:   Any  				=     seed

														while True:
																					# At each iteration, the tortoise moves one step and the hare moves two.
																					lowercase_	:   List[str]  				=     rand_fn(lowercase				,       lowercase				,       lowercase				)
																					lowercase_	:   str  				=     rand_fn(lowercase				,       lowercase				,       lowercase				)
																					lowercase_	:   Any  				=     rand_fn(lowercase				,       lowercase				,       lowercase				)

																					# At some point both the tortoise and the hare will enter a cycle whose
																					# length ``p`` is a divisor of ``num``.  Once in that cycle, at some point
																					# the tortoise and hare will end up on the same value modulo ``p``.
																					# We can detect when this happens because the position difference between
																					# the tortoise and the hare will share a common divisor with ``num``.
																					lowercase_	:   Tuple  				=     gcd(hare - tortoise				,       lowercase				)

																					if divisor == 1:
																												# No common divisor yet, just keep searching.
																												continue
																					else:
																												# We found a common divisor!
																												if divisor == num:
																																			# Unfortunately, the divisor is ``num`` itself and is useless.
																																			break
																												else:
																																			# The divisor is a nontrivial factor of ``num``!
																																			return divisor

        # If we made it here, then this attempt failed.
        # We need to pick a new starting seed for the tortoise and hare
        # in addition to a new step value for the random function.
        # To keep this example implementation deterministic, the
        # new values will be generated based on currently available
        # values instead of using something like ``random.randint``.

        # We can use the hare's position as the new seed.
        # This is actually what Richard Brent's the "optimized" variant does.
														lowercase_	:   int  				=     hare

														# The new step value for the random function can just be incremented.
														# At first the results will be similar to what the old function would
														# have produced, but the value will quickly diverge after a bit.
														step += 1

							# We haven't found a divisor within the requested number of attempts.
							# We were unlucky or ``num`` itself is actually prime.
							return None


if __name__ == "__main__":
							import argparse

							UpperCAmelCase_							=				argparse.ArgumentParser()
							parser.add_argument(
							    """num""",
							    type=int,
							    help="""The value to find a divisor of""",
							)
							parser.add_argument(
							    """--attempts""",
							    type=int,
							    default=3,
							    help="""The number of attempts before giving up""",
							)
							UpperCAmelCase_							=				parser.parse_args()

							UpperCAmelCase_							=				pollard_rho(args.num, attempts=args.attempts)
							if divisor is None:
														print(F'''{args.num} is probably prime''')
							else:
														UpperCAmelCase_							=				args.num // divisor
														print(F'''{args.num} = {divisor} * {quotient}''')