





from __future__ import annotations


def 							__snake_case							(    lowerCAmelCase_ ,							lowerCAmelCase_	)				->						list[tuple[int, int]]:
    SCREAMING_SNAKE_CASE__				,		SCREAMING_SNAKE_CASE__											=			position
    SCREAMING_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),
    ]
    SCREAMING_SNAKE_CASE__											=			[]

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

    return permissible_positions


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


def 							__snake_case							(    lowerCAmelCase_ ,							lowerCAmelCase_ ,							lowerCAmelCase_	)				->						bool:

    if is_complete(lowerCAmelCase_	):
        return True

    for position in get_valid_pos(lowerCAmelCase_ ,							len(lowerCAmelCase_	)	):
        SCREAMING_SNAKE_CASE__				,		SCREAMING_SNAKE_CASE__											=			position

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

    return False


def 							__snake_case							(    lowerCAmelCase_	)				->						list[list[int]]:
    SCREAMING_SNAKE_CASE__											=			[[0 for i in range(lowerCAmelCase_	)] for j in range(lowerCAmelCase_	)]

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

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


if __name__ == "__main__":
  import doctest

  doctest.testmod()




"""simple docstring"""


from typing import TYPE_CHECKING

from ...utils import OptionalDependencyNotAvailable, _LazyModule, is_torch_available


A	:  Union[str, Any]            =     {
    "configuration_timesformer": ["TIMESFORMER_PRETRAINED_CONFIG_ARCHIVE_MAP", "TimesformerConfig"],
}

try:
	if not is_torch_available():
		raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
	pass
else:
	A	:  Optional[int]            =     [
	    "TIMESFORMER_PRETRAINED_MODEL_ARCHIVE_LIST",
	    "TimesformerModel",
	    "TimesformerForVideoClassification",
	    "TimesformerPreTrainedModel",
	]

if TYPE_CHECKING:
	from .configuration_timesformer import TIMESFORMER_PRETRAINED_CONFIG_ARCHIVE_MAP, TimesformerConfig

	try:
		if not is_torch_available():
			raise OptionalDependencyNotAvailable()
	except OptionalDependencyNotAvailable:
		pass
	else:
		from .modeling_timesformer import (
		    TIMESFORMER_PRETRAINED_MODEL_ARCHIVE_LIST,
		    TimesformerForVideoClassification,
		    TimesformerModel,
		    TimesformerPreTrainedModel,
		)

else:
	import sys

	A	:  List[str]            =     _LazyModule(__name__, globals()["__file__"], _import_structure, module_spec=__spec__)




