






"""simple docstring"""




from __future__ import annotations

def     lowerCAmelCase__  (  UpperCamelCase__       ):



  '''simple docstring'''
  _a						: Optional[Any]    =			[0] * max_one

  for i in range(0  ,     UpperCamelCase__       ):
    _a						: Tuple    =			i

  for i in range(2  ,     UpperCamelCase__       ):
    if totients[i] == i:
      for j in range(UpperCamelCase__  ,     UpperCamelCase__  ,     UpperCamelCase__       ):
        totients[j] -= totients[j] // i

  return totients

def     lowerCAmelCase__  (  UpperCamelCase__  ,     UpperCamelCase__       ):



  '''simple docstring'''
  return sorted(str(UpperCamelCase__       )       ) == sorted(str(UpperCamelCase__       )       )

def     lowerCAmelCase__  (  UpperCamelCase__ = 1_0_0_0_0_0_0_0       ):



  '''simple docstring'''
  _a						: List[str]    =			1  # i
  _a						: Any    =			0  # φ(i)
  _a						: int    =			get_totients(max_n + 1       )

  for i in range(2  ,     max_n + 1       ):
    _a						: Union[str, Any]    =			totients[i]

    if i * min_denominator < min_numerator * t and has_same_digits(UpperCamelCase__  ,     UpperCamelCase__       ):
      _a						: Any    =			i
      _a						: Tuple    =			t

  return min_numerator


if __name__ == "__main__":
 print(F'''{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()

