





'''simple docstring'''






from __future__ import annotations







def 					_a						(       _lowerCamelCase    ,	_lowerCamelCase ) ->				list[tuple[int, int]]:



			"""simple docstring"""


			__snake_case      ,     __snake_case					:      Optional[Any]							      =     position
			__snake_case					:      Any							      =     [
			    (y + 1, x + 2),
			    (y - 1, x + 2),
			    (y + 1, x - 2),
			    (y - 1, x - 2),
			    (y + 2, x + 1),
			    (y + 2, x - 1),
			    (y - 2, x + 1),
			    (y - 2, x - 1),
			]
			__snake_case					:      Optional[Any]							      =     []

			for position in positions:
						__snake_case      ,     __snake_case					:      List[Any]							      =     position
						if 0 <= y_test < n and 0 <= x_test < n:
									permissible_positions.append(_lowerCamelCase )

			return permissible_positions







def 					_a						(       _lowerCamelCase ) ->				bool:



			"""simple docstring"""


			return not any(elem == 0 for row in board for elem in row )







def 					_a						(       _lowerCamelCase    ,	_lowerCamelCase    ,	_lowerCamelCase ) ->				bool:



			"""simple docstring"""


			if is_complete(_lowerCamelCase ):
						return True

			for position in get_valid_pos(_lowerCamelCase    ,	len(_lowerCamelCase ) ):
						__snake_case      ,     __snake_case					:      Dict							      =     position

						if board[y][x] == 0:
									__snake_case					:      int							      =     curr + 1
									if open_knight_tour_helper(_lowerCamelCase    ,	_lowerCamelCase    ,	curr + 1 ):
												return True
									__snake_case					:      int							      =     0

			return False







def 					_a						(       _lowerCamelCase ) ->				list[list[int]]:



			"""simple docstring"""


			__snake_case					:      Dict							      =     [[0 for i in range(_lowerCamelCase )] for j in range(_lowerCamelCase )]

			for i in range(_lowerCamelCase ):
						for j in range(_lowerCamelCase ):
									__snake_case					:      Dict							      =     1
									if open_knight_tour_helper(_lowerCamelCase    ,	(i, j)    ,	1 ):
												return board
									__snake_case					:      Any							      =     0

			__snake_case					:      str							      =     F'''Open Kight Tour cannot be performed on a board of size {n}'''
			raise ValueError(_lowerCamelCase )


if __name__ == "__main__":
	import doctest

	doctest.testmod()








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

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


@dataclass(frozen=_UpperCamelCase   )
class    SCREAMING_SNAKE_CASE_				(       _UpperCamelCase   ):



	"""simple docstring"""


	__magic_name__   :       str      	=		field(default='image-classification'	,  metadata={'include_in_asdict_even_if_is_default': True}   )
	__magic_name__   :       ClassVar[Features]      	=		Features({'image': Image()}   )
	__magic_name__   :       ClassVar[Features]      	=		Features({'labels': ClassLabel}   )
	__magic_name__   :       str      	=		"image"
	__magic_name__   :       str      	=		"labels"






	def 					lowerCamelCase__     (					self		:						Any					,     lowerCAmelCase		:						Optional[Any]	)	->       Union[str, Any]:







						"""simple docstring"""







						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]					,     lowerCAmelCase	):
											raise ValueError(F'''Column {self.label_column} is not a ClassLabel.'''	)
						__UpperCamelCase					:	List[str]             =      copy.deepcopy(self	)
						__UpperCamelCase					:	List[Any]             =      self.label_schema.copy()
						__UpperCamelCase					:	List[str]             =      features[self.label_column]
						__UpperCamelCase					:	List[str]             =      label_schema
						return task_template






	@property
	def 					lowerCamelCase__     (					self		:						List[Any]	)	->       Dict[str, str]:







						"""simple docstring"""







						return {
						    self.image_column: "image",
						    self.label_column: "labels",
						}






