





'''simple docstring'''




from __future__ import annotations




def 						__lowerCamelCase			(	UpperCAmelCase_					,				UpperCAmelCase_							)   ->list[tuple[int, int]]:
	snake_case__       ,  snake_case__	       =   position
	snake_case__	       =   [
	    (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__	       =   []

	for position in positions:
		snake_case__       ,  snake_case__	       =   position
		if 0 <= y_test < n and 0 <= x_test < n:
			permissible_positions.append(UpperCAmelCase_							)

	return permissible_positions




def 						__lowerCamelCase			(	UpperCAmelCase_							)   ->bool:
	return not any(elem == 0 for row in board for elem in row							)




def 						__lowerCamelCase			(	UpperCAmelCase_					,				UpperCAmelCase_					,				UpperCAmelCase_							)   ->bool:

	if is_complete(UpperCAmelCase_							):
		return True

	for position in get_valid_pos(UpperCAmelCase_					,				len(UpperCAmelCase_							)							):
		snake_case__       ,  snake_case__	       =   position

		if board[y][x] == 0:
			snake_case__	       =   curr + 1
			if open_knight_tour_helper(UpperCAmelCase_					,				UpperCAmelCase_					,				curr + 1							):
				return True
			snake_case__	       =   0

	return False




def 						__lowerCamelCase			(	UpperCAmelCase_							)   ->list[list[int]]:
	snake_case__	       =   [[0 for i in range(UpperCAmelCase_							)] for j in range(UpperCAmelCase_							)]

	for i in range(UpperCAmelCase_							):
		for j in range(UpperCAmelCase_							):
			snake_case__	       =   1
			if open_knight_tour_helper(UpperCAmelCase_					,				(i, j)					,				1							):
				return board
			snake_case__	       =   0

	snake_case__	       =   f'''Open Kight Tour cannot be performed on a board of size {n}'''
	raise ValueError(UpperCAmelCase_							)


if __name__ == "__main__":
			import doctest

			doctest.testmod()










'''simple docstring'''




from typing import TYPE_CHECKING

from ...utils import OptionalDependencyNotAvailable, _LazyModule, is_tokenizers_available, is_torch_available


a__					:			Dict          =     {
    '''configuration_canine''': ['''CANINE_PRETRAINED_CONFIG_ARCHIVE_MAP''', '''CanineConfig'''],
    '''tokenization_canine''': ['''CanineTokenizer'''],
}

try:
			if not is_torch_available():
						raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
			pass
else:
			a__					:			Union[str, Any]          =     [
			    '''CANINE_PRETRAINED_MODEL_ARCHIVE_LIST''',
			    '''CanineForMultipleChoice''',
			    '''CanineForQuestionAnswering''',
			    '''CanineForSequenceClassification''',
			    '''CanineForTokenClassification''',
			    '''CanineLayer''',
			    '''CanineModel''',
			    '''CaninePreTrainedModel''',
			    '''load_tf_weights_in_canine''',
			]


if TYPE_CHECKING:
			from .configuration_canine import CANINE_PRETRAINED_CONFIG_ARCHIVE_MAP, CanineConfig
			from .tokenization_canine import CanineTokenizer

			try:
						if not is_torch_available():
									raise OptionalDependencyNotAvailable()
			except OptionalDependencyNotAvailable:
						pass
			else:
						from .modeling_canine import (
						    CANINE_PRETRAINED_MODEL_ARCHIVE_LIST,
						    CanineForMultipleChoice,
						    CanineForQuestionAnswering,
						    CanineForSequenceClassification,
						    CanineForTokenClassification,
						    CanineLayer,
						    CanineModel,
						    CaninePreTrainedModel,
						    load_tf_weights_in_canine,
						)


else:
			import sys

			a__					:			List[Any]          =     _LazyModule(__name__, globals()['''__file__'''], _import_structure, module_spec=__spec__)



