





import importlib
import sys
from argparse import REMAINDER, ArgumentParser
from pathlib import Path

import torch_xla.distributed.xla_multiprocessing as xmp





def      _lowercase       (						)						->  List[Any]:
				lowerCamelCase	 =ArgumentParser(
				    description=(
				        """PyTorch TPU distributed training launch helper utility that will spawn up multiple distributed processes"""
				    )				)

				# Optional arguments for the launch helper
				parser.add_argument("""--num_cores"""			,      type=_UpperCAmelCase			,      default=1			,      help="""Number of TPU cores to use (1 or 8)."""				)

				# positional
				parser.add_argument(
				    """training_script"""			,      type=_UpperCAmelCase			,      help=(
				        """The full path to the single TPU training """
				        """program/script to be launched in parallel, """
				        """followed by all the arguments for the """
				        """training script"""
				    )			,      )

				# rest from the training program
				parser.add_argument("""training_script_args"""			,      nargs=_UpperCAmelCase				)

				return parser.parse_args()





def      _lowercase       (						)						->  List[str]:
				lowerCamelCase	 =parse_args()

				# Import training_script as a module.
				lowerCamelCase	 =Path(args.training_script				)
				sys.path.append(str(script_fpath.parent.resolve()				)				)
				lowerCamelCase	 =script_fpath.stem
				lowerCamelCase	 =importlib.import_module(_UpperCAmelCase				)

				# Patch sys.argv
				lowerCamelCase	 =[args.training_script] + args.training_script_args + ["""--tpu_num_cores""", str(args.num_cores				)]

				xmp.spawn(mod._mp_fn			,      args=()			,      nprocs=args.num_cores				)


if __name__ == "__main__":
							main()












import math
from collections.abc import Iterator
from itertools import takewhile





def      _lowercase					(						_UpperCAmelCase				)						->  bool:

				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(_UpperCAmelCase				) + 1				)			,      6				):
								if number % i == 0 or number % (i + 2) == 0:
												return False
				return True





def      _lowercase					(						)						->  Iterator[int]:
				lowerCamelCase	 =2
				while True:
								if is_prime(_UpperCAmelCase				):
												yield num
								num += 1





def      _lowercase					(						_UpperCAmelCase = 2_00_00_00				)						->  int:
				return sum(takewhile(lambda _UpperCAmelCase				: x < n			,      prime_generator()				)				)


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





