






from __future__ import annotations

import math

def _UpperCAmelCase   (	a						:	int ):

							if num <= 0:
														snake_case__	  =       F'''{num}: Invalid input, please enter a positive integer.'''
														raise ValueError(a )

							snake_case__	  =       [True] * (num + 1)
							snake_case__	  =       []
							snake_case__	  =       2
							snake_case__	  =       int(math.sqrt(a ) )

							while start <= end:
														# If start is a prime
														if sieve[start] is True:
																					prime.append(a )

																					# Set multiples of start be False
																					for i in range(start * start  ,					num + 1  ,					a ):
																												if sieve[i] is True:
																																			snake_case__	  =       False

														start += 1

							for j in range(end + 1  ,					num + 1 ):
														if sieve[j] is True:
																					prime.append(a )

							return prime


if __name__ == "__main__":
	print(prime_sieve(int(input("""Enter a positive integer: """).strip())))








import os
import time

import pytest

from datasets.utils.filelock import FileLock, Timeout

def _UpperCAmelCase   (	a						:	List[Any] ):
							snake_case__	  =       FileLock(str(tmpdir / """foo.lock""" ) )
							snake_case__	  =       FileLock(str(tmpdir / """foo.lock""" ) )
							snake_case__	  =       0.01
							with locka.acquire():
														with pytest.raises(a ):
																					snake_case__	  =       time.time()
																					locka.acquire(a )
																					assert time.time() - _start > timeout



def _UpperCAmelCase   (	a						:	str ):
							snake_case__	  =       """a""" * 1000 + """.lock"""
							snake_case__	  =       FileLock(str(tmpdir / filename ) )
							assert locka._lock_file.endswith(""".lock""" )
							assert not locka._lock_file.endswith(a )
							assert len(os.path.basename(locka._lock_file ) ) <= 255
							snake_case__	  =       FileLock(tmpdir / filename )
							with locka.acquire():
														with pytest.raises(a ):
																					locka.acquire(0 )
