'''simple docstring'''





import logging
from dataclasses import dataclass, field
from pathlib import Path
from typing import Optional, Union

from .generation.configuration_utils import GenerationConfig
from .training_args import TrainingArguments
from .utils import add_start_docstrings


SCREAMING_SNAKE_CASE_:	str    =logging.getLogger(__name__)




@dataclass
@add_start_docstrings(TrainingArguments.__doc__      )
class 			__A (					UpperCamelCase__      ):
    a__			:		bool			  =    field(default=UpperCamelCase__						,      metadata={"""help""": """Whether to use SortishSampler or not."""}      )
    a__			:		bool			  =    field(
        default=UpperCamelCase__						,      metadata={"""help""": """Whether to use generate to calculate generative metrics (ROUGE, BLEU)."""}      )
    a__			:		Optional[int]			  =    field(
        default=UpperCamelCase__						,      metadata={
            """help""": (
                """The `max_length` to use on each evaluation loop when `predict_with_generate=True`. Will default """
                """to the `max_length` value of the model configuration."""
            )
        }						,      )
    a__			:		Optional[int]			  =    field(
        default=UpperCamelCase__						,      metadata={
            """help""": (
                """The `num_beams` to use on each evaluation loop when `predict_with_generate=True`. Will default """
                """to the `num_beams` value of the model configuration."""
            )
        }						,      )
    a__			:		Optional[Union[str, Path, GenerationConfig]]			  =    field(
        default=UpperCamelCase__						,      metadata={
            """help""": """Model id, file path or url pointing to a GenerationConfig json file, to use during prediction."""
        }						,      )



    def    _lowercase		(self       :       Optional[Any]					):
         UpperCAmelCase_			       =  super().to_dict()
         for k, v in d.items():
              if isinstance(__a  ,     __a					):
                   UpperCAmelCase_			       =  v.to_dict()
         return d






from math import ceil, sqrt
def 							SCREAMING_SNAKE_CASE_	(					UpperCAmelCase_	:     int = 1_0_0_0_0_0_0				)			->						int:
       SCREAMING_SNAKE_CASE_							:				List[Any]		=0

       for outer_width in range(3			,							(limit // 4) + 2				):
              if outer_width**2 > limit:
                     SCREAMING_SNAKE_CASE_							:				List[str]		=max(ceil(sqrt(outer_width**2 - limit				)				)			,							1				)
              else:
                     SCREAMING_SNAKE_CASE_							:				List[str]		=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() = }")
