from __future__ import annotations






def        SCREAMING_SNAKE_CASE_      (		lowerCAmelCase_:			Optional[Any]			,						lowerCAmelCase_:			List[str]  ):
      snake_case_  :      Optional[Any]  	=							position
      snake_case_  :      Optional[int]  	=							[
          (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_  :      List[str]  	=							[]

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

      return permissible_positions






def        SCREAMING_SNAKE_CASE_      (		lowerCAmelCase_:			Optional[int]  ):
      return not any(elem == 0 for row in board for elem in row  )






def        SCREAMING_SNAKE_CASE_      (		lowerCAmelCase_:			Optional[int]			,						lowerCAmelCase_:			Optional[int]			,						lowerCAmelCase_:			Optional[int]  ):



      if is_complete(lowerCAmelCase_  ):
            return True

      for position in get_valid_pos(lowerCAmelCase_			,						len(lowerCAmelCase_  )  ):
            snake_case_  :      Optional[Any]  	=							position

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

      return False






def        SCREAMING_SNAKE_CASE_      (		lowerCAmelCase_:			str  ):
      snake_case_  :      Optional[Any]  	=							[[0 for i in range(lowerCAmelCase_  )] for j in range(lowerCAmelCase_  )]

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

      snake_case_  :      List[Any]  	=							f"Open Kight Tour cannot be performed on a board of size {n}"
      raise ValueError(lowerCAmelCase_  )


if __name__ == "__main__":
     import doctest

     doctest.testmod()










from typing import TYPE_CHECKING

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


UpperCAmelCase_							=				{
    """configuration_m2m_100""": ["""M2M_100_PRETRAINED_CONFIG_ARCHIVE_MAP""", """M2M100Config""", """M2M100OnnxConfig"""],
    """tokenization_m2m_100""": ["""M2M100Tokenizer"""],
}


try:
							if not is_torch_available():
														raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
							pass
else:
							UpperCAmelCase_							=				[
							    """M2M_100_PRETRAINED_MODEL_ARCHIVE_LIST""",
							    """M2M100ForConditionalGeneration""",
							    """M2M100Model""",
							    """M2M100PreTrainedModel""",
							]


if TYPE_CHECKING:
							from .configuration_mam_aaa import M2M_100_PRETRAINED_CONFIG_ARCHIVE_MAP, MaMaaaConfig, MaMaaaOnnxConfig
							from .tokenization_mam_aaa import MaMaaaTokenizer

							try:
														if not is_torch_available():
																					raise OptionalDependencyNotAvailable()
							except OptionalDependencyNotAvailable:
														pass
							else:
														from .modeling_mam_aaa import (
														    M2M_100_PRETRAINED_MODEL_ARCHIVE_LIST,
														    MaMaaaForConditionalGeneration,
														    MaMaaaModel,
														    MaMaaaPreTrainedModel,
														)


else:
							import sys

							UpperCAmelCase_							=				_LazyModule(__name__, globals()["""__file__"""], _import_structure, module_spec=__spec__)