
from __future__ import annotations

from math import gcd



def   __UpperCamelCase						(				_lowerCAmelCase	,						_lowerCAmelCase = 2	,						_lowerCAmelCase = 1	,						_lowerCAmelCase = 3	,						):
					"""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(_lowerCAmelCase	,						_lowerCAmelCase	,						_lowerCAmelCase ) -> int:
										return (pow(__lowerCamelCase	,						2 ) + step) % modulus

					for _ in range(__lowerCamelCase ):
										# These track the position within the cycle detection logic.
										UpperCAmelCase				   =  seed
										UpperCAmelCase				   =  seed

										while True:
															# At each iteration, the tortoise moves one step and the hare moves two.
															UpperCAmelCase				   =  rand_fn(__lowerCamelCase	,						__lowerCamelCase	,						__lowerCamelCase )
															UpperCAmelCase				   =  rand_fn(__lowerCamelCase	,						__lowerCamelCase	,						__lowerCamelCase )
															UpperCAmelCase				   =  rand_fn(__lowerCamelCase	,						__lowerCamelCase	,						__lowerCamelCase )

															# 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``.
															UpperCAmelCase				   =  gcd(hare - tortoise	,						__lowerCamelCase )

															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.
										UpperCAmelCase				   =  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

				__lowerCAmelCase									=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",
				)
				__lowerCAmelCase									=parser.parse_args()

				__lowerCAmelCase									=pollard_rho(args.num, attempts=args.attempts)
				if divisor is None:
								print(f"{args.num} is probably prime")
				else:
								__lowerCAmelCase									=args.num // divisor
								print(f"{args.num} = {divisor} * {quotient}")




'''simple docstring'''



import sys
import webbrowser

import requests
from bsa import BeautifulSoup
from fake_useragent import UserAgent

if __name__ == "__main__":
						print("""Googling.....""")
						_lowercase          =						"""https://www.google.com/search?q=""" + """ """.join(sys.argv[1:])
						_lowercase          =						requests.get(url, headers={"""UserAgent""": UserAgent().random})
						# res.raise_for_status()
						with open("""project1a.html""", """wb""") as out_file:  # only for knowing the class
												for data in res.iter_content(10000):
																		out_file.write(data)
						_lowercase          =						BeautifulSoup(res.text, """html.parser""")
						_lowercase          =						list(soup.select(""".eZt8xd"""))[:5]

						print(len(links))
						for link in links:
												if link.text == "Maps":
																		webbrowser.open(link.get("""href"""))
												else:
																		webbrowser.open(F"""https://google.com{link.get('href')}""")
