



'''simple docstring'''

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

import torch_xla.distributed.xla_multiprocessing as xmp







def     __UpperCamelCase					(				)			->      int:
	_lowercase       :							Tuple  	=		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=_lowercase,					default=1,					help='Number of TPU cores to use (1 or 8).'       )

	# positional
	parser.add_argument(
	    'training_script',					type=_lowercase,					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=_lowercase       )

	return parser.parse_args()







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

	# Import training_script as a module.
	_lowercase       :							Optional[Any]  	=		Path(args.training_script       )
	sys.path.append(str(script_fpath.parent.resolve()       )       )
	_lowercase       :							Union[str, Any]  	=		script_fpath.stem
	_lowercase       :							Tuple  	=		importlib.import_module(_lowercase       )

	# Patch sys.argv
	_lowercase       :							str  	=		[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()





'''simple docstring'''

from __future__ import annotations

_A					:     Union[str, Any]      ='''Alexander Joslin'''







def     __UpperCamelCase					(				_lowercase       )			->      int:

	if number <= 0:
		_lowercase       :							Optional[Any]  	=		f'''n must be greater than 0. Got n = {number}'''
		raise ValueError(_lowercase       )

	_lowercase       :							List[str]  	=		[number + 1] * (number + 1)

	# starting position
	_lowercase       :							str  	=		0
	for i in range(1,					_lowercase       ):
		_lowercase       :							Union[str, Any]  	=		min(table[i + 1],					table[i] + 1       )
		# check if out of bounds
		if i * 2 <= number:
			_lowercase       :							Optional[Any]  	=		min(table[i * 2],					table[i] + 1       )
		# check if out of bounds
		if i * 3 <= number:
			_lowercase       :							Any  	=		min(table[i * 3],					table[i] + 1       )
	return table[number]


if __name__ == "__main__":
		import doctest

		doctest.testmod()
