





import os

import pytest
from attr import dataclass


_A :   Optional[Any]  			=  'us-east-1'  # defaults region


@dataclass
class        __SCREAMING_SNAKE_CASE      :
       _UpperCAmelCase				:  str
       _UpperCAmelCase				:  List[str]			   =   "arn:aws:iam::558105141721:role/sagemaker_execution_role"
       _UpperCAmelCase				:  Tuple			   =   {
           "task_name": "mnli",
           "per_device_train_batch_size": 1_6,
           "per_device_eval_batch_size": 1_6,
           "do_train": True,
           "do_eval": True,
           "do_predict": True,
           "output_dir": "/opt/ml/model",
           "overwrite_output_dir": True,
           "max_steps": 5_0_0,
           "save_steps": 5_5_0_0,
       }
       _UpperCAmelCase				:  Dict			   =   {**hyperparameters, "max_steps": 1_0_0_0}







       @property
       def 						__lowerCamelCase   (				self					:     Optional[int]      )       ->str:
          if self.framework == "pytorch":
             return [
                 {"Name": "train_runtime", "Regex": r"train_runtime.*=\D*(.*?)$"},
                 {"Name": "eval_accuracy", "Regex": r"eval_accuracy.*=\D*(.*?)$"},
                 {"Name": "eval_loss", "Regex": r"eval_loss.*=\D*(.*?)$"},
             ]
          else:
             return [
                 {"Name": "train_runtime", "Regex": r"train_runtime.*=\D*(.*?)$"},
                 {"Name": "eval_accuracy", "Regex": r"loss.*=\D*(.*?)]?$"},
                 {"Name": "eval_loss", "Regex": r"sparse_categorical_accuracy.*=\D*(.*?)]?$"},
             ]







       @property
       def 						__lowerCamelCase   (				self					:     List[Any]      )       ->str:
          return F"{self.framework}-transfromers-test"







       @property
       def 						__lowerCamelCase   (				self					:     int      )       ->str:
          return F"./tests/sagemaker/scripts/{self.framework}"







       @property
       def 						__lowerCamelCase   (				self					:     Tuple      )       ->str:
          if self.framework == "pytorch":
             return "763104351884.dkr.ecr.us-east-1.amazonaws.com/huggingface-pytorch-training:1.7.1-transformers4.6.1-gpu-py36-cu110-ubuntu18.04"
          else:
             return "763104351884.dkr.ecr.us-east-1.amazonaws.com/huggingface-tensorflow-training:2.4.1-transformers4.6.1-gpu-py37-cu110-ubuntu18.04"



@pytest.fixture(scope='''class'''					)
def 	_a						(   UpperCAmelCase					)    ->    Tuple:







   """simple docstring"""
   lowerCamelCase__       :						int        =							SageMakerTestEnvironment(framework=request.cls.framework					)










from math import ceil, sqrt



def 	_a						(   UpperCAmelCase = 1000000					)    ->    int:







   """simple docstring"""
   lowerCamelCase__       :						Any        =							0

   for outer_width in range(3      ,  (limit // 4) + 2					):
      if outer_width**2 > limit:
         lowerCamelCase__       :						List[Any]        =							max(ceil(sqrt(outer_width**2 - limit					)					)      ,  1					)
      else:
         lowerCamelCase__       :						Union[str, Any]        =							1
      if (outer_width - hole_width_lower_bound) % 2:
         hole_width_lower_bound += 1

      answer += (outer_width - hole_width_lower_bound - 2) // 2 + 1

   return answer


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



