



"""simple docstring"""


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

import torch_xla.distributed.xla_multiprocessing as xmp

def 					_lowerCAmelCase (  ):
						UpperCAmelCase			 =					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 					_lowerCAmelCase (  ):
						UpperCAmelCase			 =					parse_args()

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

						# Patch sys.argv
						UpperCAmelCase			 =					[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 itertools import permutations

def 					_lowerCAmelCase (  lowercase_ = 5		):
						if gon_side < 3 or gon_side > 5:
												raise ValueError('gon_side must be in the range [3, 5]'		)

						# Since it's 16, we know 10 is on the outer ring
						# Put the big numbers at the end so that they are never the first number
						UpperCAmelCase			 =					list(range(gon_side + 1						,      0						,      -1		)		)
						UpperCAmelCase			 =					list(range(gon_side + 2						,      gon_side * 2 + 1		)		)

						for perm in permutations(small_numbers + big_numbers		):
												UpperCAmelCase			 =					generate_gon_ring(lowercase_						,      list(lowercase_		)		)
												if is_magic_gon(lowercase_		):
																		return int(''.join(str(lowercase_		) for n in numbers		)		)

						UpperCAmelCase			 =					F"""Magic {gon_side}-gon ring is impossible"""
						raise ValueError(lowercase_		)

def 					_lowerCAmelCase (  lowercase_						,      lowercase_		):
						UpperCAmelCase			 =					[0] * (gon_side * 3)
						UpperCAmelCase			 =					perm[0:3]
						perm.append(perm[1]		)

						UpperCAmelCase			 =					1 if gon_side < 5 else 2

						for i in range(1						,      len(lowercase_		) // 3 + magic_number		):
												UpperCAmelCase			 =					perm[2 * i + 1]
												UpperCAmelCase			 =					result[3 * i - 1]
												UpperCAmelCase			 =					perm[2 * i + 2]

						return result

def 					_lowerCAmelCase (  lowercase_		):
						if len(lowercase_		) % 3 != 0:
												raise ValueError('a gon ring should have a length that is a multiple of 3'		)

						if min(numbers[::3]		) != numbers[0]:
												return False

						UpperCAmelCase			 =					sum(numbers[:3]		)

						return all(sum(numbers[i : i + 3]		) == total for i in range(3						,      len(lowercase_		)						,      3		)		)


if __name__ == "__main__":
				print(solution())





