



import copy
from dataclasses import dataclass, field
from typing import ClassVar, Dict

from ..features import ClassLabel, Features, Image
from .base import TaskTemplate


@dataclass(frozen=__lowerCamelCase				)
class       a							(			__lowerCamelCase				):
		__lowerCAmelCase	:    str											=					field(default="""image-classification"""  ,							metadata={"""include_in_asdict_even_if_is_default""": True}				)
		__lowerCAmelCase	:    ClassVar[Features]											=					Features({"""image""": Image()}				)
		__lowerCAmelCase	:    ClassVar[Features]											=					Features({"""labels""": ClassLabel}				)
		__lowerCAmelCase	:    str											=					"image"
		__lowerCAmelCase	:    str											=					"labels"



		def 	__lowerCamelCase			(     self     :int   ,__lowercase     :List[str]  ):
						if self.label_column not in features:
										raise ValueError(F"""Column {self.label_column} is not present in features."""  )
						if not isinstance(features[self.label_column]   ,__lowercase  ):
										raise ValueError(F"""Column {self.label_column} is not a ClassLabel."""  )
						snake_case__	:      Optional[int]     		=	copy.deepcopy(self  )
						snake_case__	:      List[str]     		=	self.label_schema.copy()
						snake_case__	:      Any     		=	features[self.label_column]
						snake_case__	:      List[str]     		=	label_schema
						return task_template






		@property
		def 	__lowerCamelCase			(     self     :List[str]  ):
						return {
						    self.image_column: "image",
						    self.label_column: "labels",
						}






from math import ceil, sqrt



def 			_lowerCAmelCase       (					__lowerCAmelCase = 1000000      )   ->					int:


				"""simple docstring"""

				snake_case__	:      Dict     		=	0

				for outer_width in range(3  ,  (limit // 4) + 2      ):
								if outer_width**2 > limit:
												snake_case__	:      Any     		=	max(ceil(sqrt(outer_width**2 - limit      )      )  ,  1      )
								else:
												snake_case__	:      int     		=	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() = }""")

