






"""simple docstring"""




from itertools import permutations

def     lowerCAmelCase__  (  UpperCamelCase__ = 5       ):



  '''simple docstring'''




  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
  _a						: Tuple    =			list(range(gon_side + 1  ,     0  ,     -1       )       )
  _a						: Union[str, Any]    =			list(range(gon_side + 2  ,     gon_side * 2 + 1       )       )

  for perm in permutations(small_numbers + big_numbers       ):
    _a						: Any    =			generate_gon_ring(lowerCamelCase__  ,     list(lowerCamelCase__       )       )
    if is_magic_gon(lowerCamelCase__       ):
      return int("""""".join(str(lowerCamelCase__       ) for n in numbers       )       )

  _a						: Any    =			F"""Magic {gon_side}-gon ring is impossible"""
  raise ValueError(lowerCamelCase__       )

def     lowerCAmelCase__  (  UpperCamelCase__  ,     UpperCamelCase__       ):



  '''simple docstring'''
  _a						: List[Any]    =			[0] * (gon_side * 3)
  _a						: int    =			perm[0:3]
  perm.append(perm[1]       )

  _a						: int    =			1 if gon_side < 5 else 2

  for i in range(1  ,     len(lowerCamelCase__       ) // 3 + magic_number       ):
    _a						: Union[str, Any]    =			perm[2 * i + 1]
    _a						: Any    =			result[3 * i - 1]
    _a						: Tuple    =			perm[2 * i + 2]

  return result

def     lowerCAmelCase__  (  UpperCamelCase__       ):



  '''simple docstring'''




  if len(lowerCamelCase__       ) % 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

  _a						: List[Any]    =			sum(numbers[:3]       )

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


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









"""simple docstring"""




import json
import logging
import os
import subprocess
from argparse import ArgumentParser


_snake_case					   =     logging.getLogger(__name__)

def     lowerCAmelCase__  (  ):



  '''simple docstring'''
  _a						: Any    =			ArgumentParser()
  _a   ,						_a						: str    =			parser.parse_known_args()
  for arg in unknown:
    if arg.startswith(("""-""", """--""")       ):
      parser.add_argument(arg.split("""="""       )[0]       )

  return parser.parse_args()

def     lowerCAmelCase__  (  ):



  '''simple docstring'''
  _a						: Optional[Any]    =			parse_args()
  _a						: Any    =			8_8_8_8
  _a						: List[str]    =			int(os.environ["""SM_NUM_GPUS"""]       )
  _a						: Union[str, Any]    =			json.loads(os.environ["""SM_HOSTS"""]       )
  _a						: Tuple    =			len(UpperCamelCase__       )
  _a						: Optional[int]    =			os.environ["""SM_CURRENT_HOST"""]
  _a						: Optional[Any]    =			hosts.index(UpperCamelCase__       )
  _a						: List[str]    =			"""INFO"""

  if num_nodes > 1:
    _a						: int    =			F"""python -m torch.distributed.launch \
                --nnodes={num_nodes}  \
                --node_rank={rank}  \
                --nproc_per_node={num_gpus}  \
                --master_addr={hosts[0]}  \
                --master_port={port} \
                ./run_glue.py \
                {''.join(['nested fstring' for parameter,value in args.__dict__.items()]       )}"""
  else:
    _a						: Any    =			F"""python -m torch.distributed.launch \
            --nproc_per_node={num_gpus}  \
            ./run_glue.py \
            {''.join(['nested fstring' for parameter,value in args.__dict__.items()]       )}"""
  try:
    subprocess.run(UpperCamelCase__  ,     shell=UpperCamelCase__       )
  except Exception as e:
    logger.info(UpperCamelCase__       )


if __name__ == "__main__":
 main()

