
"""simple docstring"""
import math
from collections.abc import Generator
def 					a__ ( a :					int		):

  """simple docstring"""







  _snake_case  :    Generator            = (i for i in range(1							,  (max_n + 1)		))
  for i in (n for n in numbers if n > 1):
    for j in range(2							,  a		):
      if (i % j) == 0:
        break
    else:
      yield i
def 					a__ ( a :					int		):

  """simple docstring"""







  _snake_case  :    Generator            = (i for i in range(1							,  (max_n + 1)		))
  for i in (n for n in numbers if n > 1):
    # only need to check for factors up to sqrt(i)
    _snake_case  :    List[Any]            = int(math.sqrt(a		)		) + 1
    for j in range(2							,  a		):
      if (i % j) == 0:
        break
    else:
      yield i
def 					a__ ( a :					int		):

  """simple docstring"""







  _snake_case  :    Generator            = (i for i in range(1							,  (max_n + 1)							,  2		))
  # It's useless to test even numbers as they will not be prime
  if max_n > 2:
    yield 2  # Because 2 will not be tested, it's necessary to yield it now
  for i in (n for n in numbers if n > 1):
    _snake_case  :    List[str]            = int(math.sqrt(a		)		) + 1
    for j in range(3							,  a							,  2		):
      # As we removed the even numbers, we don't need them now
      if (i % j) == 0:
        break
    else:
      yield i
def 					a__ ( ):

  """simple docstring"""







  from timeit import timeit

  _snake_case  :    str            = "from __main__ import slow_primes, primes, fast_primes"
  print(timeit("slow_primes(1_000_000_000_000)"							,  setup=a							,  number=1_000_000		)		)
  print(timeit("primes(1_000_000_000_000)"							,  setup=a							,  number=1_000_000		)		)
  print(timeit("fast_primes(1_000_000_000_000)"							,  setup=a							,  number=1_000_000		)		)


if __name__ == "__main__":
    _a   :      Any       =				int(input("""Calculate primes up to:\n>> """).strip())
    for ret in primes(number):
        print(ret)
    benchmark()





import unittest
from pathlib import Path

from transformers import is_vision_available, load_tool
from transformers.testing_utils import get_tests_dir

from .test_tools_common import ToolTesterMixin


if is_vision_available():
   from PIL import Image







class lowerCAmelCase_		(					unittest.TestCase   ,		lowerCamelCase__			):

 '''simple docstring'''

 def 		UpperCamelCase__	(      self   ):
       snake_case_			= load_tool('''image-question-answering'''   )
       self.tool.setup()
       snake_case_			= load_tool('''image-question-answering'''						, remote=_UpperCAmelCase   )



 def 		UpperCamelCase__	(      self   ):
       snake_case_			= Image.open(Path(get_tests_dir('''fixtures/tests_samples/COCO'''   )   ) / '''000000039769.png'''   )
       snake_case_			= self.tool(_UpperCAmelCase						, '''How many cats are sleeping on the couch?'''   )
       self.assertEqual(_UpperCAmelCase						, '''2'''   )



 def 		UpperCamelCase__	(      self   ):
       snake_case_			= Image.open(Path(get_tests_dir('''fixtures/tests_samples/COCO'''   )   ) / '''000000039769.png'''   )
       snake_case_			= self.remote_tool(_UpperCAmelCase						, '''How many cats are sleeping on the couch?'''   )
       self.assertEqual(_UpperCAmelCase						, '''2'''   )



 def 		UpperCamelCase__	(      self   ):
       snake_case_			= Image.open(Path(get_tests_dir('''fixtures/tests_samples/COCO'''   )   ) / '''000000039769.png'''   )
       snake_case_			= self.tool(image=_UpperCAmelCase						, question='''How many cats are sleeping on the couch?'''   )
       self.assertEqual(_UpperCAmelCase						, '''2'''   )





 def 		UpperCamelCase__	(      self   ):
       snake_case_			= Image.open(Path(get_tests_dir('''fixtures/tests_samples/COCO'''   )   ) / '''000000039769.png'''   )
       snake_case_			= self.remote_tool(image=_UpperCAmelCase						, question='''How many cats are sleeping on the couch?'''   )
       self.assertEqual(_UpperCAmelCase						, '''2'''   )