




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

import torch_xla.distributed.xla_multiprocessing as xmp







def 	_a      (						):
					__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=SCREAMING_SNAKE_CASE_      ,      default=1      ,      help="Number of TPU cores to use (1 or 8)."     )

					# positional
					parser.add_argument(
					    "training_script"      ,      type=SCREAMING_SNAKE_CASE_      ,      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=SCREAMING_SNAKE_CASE_     )

					return parser.parse_args()







def 	_a      (						):
					__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(SCREAMING_SNAKE_CASE_     )

					# 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()











from __future__ import annotations

import math


def        SCREAMING_SNAKE_CASE      (       _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


_UpperCAmelCase				:       Any	   =				[num for num in range(3, 10_00_01, 2) if not is_prime(num)]


def        SCREAMING_SNAKE_CASE      (       _UpperCAmelCase )			->     list[int]:
    if not isinstance(_UpperCAmelCase						,	_UpperCAmelCase ):
        raise ValueError('n must be an integer' )
    if n <= 0:
        raise ValueError('n must be >= 0' )

    lowerCamelCase__    :      int					 =		[]
    for num in range(len(_UpperCAmelCase ) ):
        lowerCamelCase__    :      Union[str, Any]					 =		0
        while 2 * i * i <= odd_composites[num]:
            lowerCamelCase__    :      Dict					 =		odd_composites[num] - 2 * i * i
            if is_prime(_UpperCAmelCase ):
                break
            i += 1
        else:
            list_nums.append(odd_composites[num] )
            if len(_UpperCAmelCase ) == n:
                return list_nums

    return []


def        SCREAMING_SNAKE_CASE      (       )			->     int:
    return compute_nums(1 )[0]


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





