





'''simple docstring'''

import inspect
import os
import unittest

import torch

import accelerate
from accelerate import debug_launcher
from accelerate.test_utils import (
    execute_subprocess_async,
    require_cpu,
    require_multi_gpu,
    require_single_gpu,
    test_sync,
)
from accelerate.utils import patch_environment





class lowerCamelCase    (unittest.TestCase       ):







  def 					UpperCAmelCase_					(		self		)		->    str:






        """simple docstring"""





        _snake_case		:						Any         =  inspect.getfile(accelerate.test_utils		)
        _snake_case		:						Tuple         =  os.path.sep.join(mod_file.split(os.path.sep		)[:-1] + ['''scripts''', '''test_sync.py''']		)







  @require_cpu
  def 					UpperCAmelCase_					(		self		)		->    Dict:






        """simple docstring"""





        debug_launcher(test_sync.main  ,  num_processes=1		)







  @require_cpu
  def 					UpperCAmelCase_					(		self		)		->    Any:






        """simple docstring"""





        debug_launcher(test_sync.main		)







  @require_single_gpu
  def 					UpperCAmelCase_					(		self		)		->    Any:






        """simple docstring"""





        test_sync.main()







  @require_multi_gpu
  def 					UpperCAmelCase_					(		self		)		->    Optional[int]:






        """simple docstring"""





        print(F'''Found {torch.cuda.device_count()} devices.'''		)
        _snake_case		:						Optional[int]         =  ['''torchrun''', F'''--nproc_per_node={torch.cuda.device_count()}''', self.test_file_path]
        with patch_environment(omp_num_threads=1		):
              execute_subprocess_async(lowercase__  ,  env=os.environ.copy()		)









'''simple docstring'''

import math




def  _a     (				lowerCAmelCase_						):





      """simple docstring"""



      if 1 < number < 4:
            # 2 and 3 are primes
            return True
      elif number < 2 or number % 2 == 0 or number % 3 == 0:
            # Negatives, 0, 1, all even numbers, all multiples of 3 are not primes
            return False

      # All primes number are in format of 6k +/- 1
      for i in range(5      ,   int(math.sqrt(lowerCAmelCase_						) + 1						)      ,   6						):
            if number % i == 0 or number % (i + 2) == 0:
                  return False
      return True




def  _a     (				lowerCAmelCase_ = 2_000_000						):





      """simple docstring"""



      return sum(num for num in range(3      ,   lowerCAmelCase_      ,   2						) if is_prime(lowerCAmelCase_						)						) + 2 if n > 2 else 0


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


