from __future__ import annotations




def        lowerCAmelCase_			(					__A,  __A							)					->    Union[str, Any]:







      '''simple docstring'''


      UpperCAmelCase__								=  position
      UpperCAmelCase__								=  [
          (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),
      ]
      UpperCAmelCase__								=  []

      for position in positions:
            UpperCAmelCase__								=  position
            if 0 <= y_test < n and 0 <= x_test < n:
                  permissible_positions.append(_UpperCAmelCase							)

      return permissible_positions




def        lowerCAmelCase_			(					__A							)					->    Any:







      '''simple docstring'''


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




def        lowerCAmelCase_			(					__A,  __A,  __A							)					->    List[str]:







      '''simple docstring'''


      if is_complete(_UpperCAmelCase							):
            return True

      for position in get_valid_pos(_UpperCAmelCase,  len(_UpperCAmelCase							)							):
            UpperCAmelCase__								=  position

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

      return False




def        lowerCAmelCase_			(					__A							)					->    Optional[Any]:







      '''simple docstring'''


      UpperCAmelCase__								=  [[0 for i in range(_UpperCAmelCase							)] for j in range(_UpperCAmelCase							)]

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

      UpperCAmelCase__								=  f"""Open Kight Tour cannot be performed on a board of size {n}"""
      raise ValueError(_UpperCAmelCase							)


if __name__ == "__main__":
       import doctest

       doctest.testmod()




# Lint as: python3
import itertools
import os
import re


UpperCamelCase__    							= re.compile(R'([A-Z]+)([A-Z][a-z])')
UpperCamelCase__    							= re.compile(R'([a-z\d])([A-Z])')

UpperCamelCase__    							= re.compile(R'(?<!_)_(?!_)')
UpperCamelCase__    							= re.compile(R'(_{2,})')

UpperCamelCase__    							= R'^\w+(\.\w+)*$'

UpperCamelCase__    							= R'<>:/\|?*'




def        lowerCAmelCase_			(					__A							)					->    Dict:







      '''simple docstring'''


      UpperCAmelCase__								=  _uppercase_uppercase_re.sub(r"\1_\2",  __A							)
      UpperCAmelCase__								=  _lowercase_uppercase_re.sub(r"\1_\2",  __A							)
      return name.lower()




def        lowerCAmelCase_			(					__A							)					->    Optional[Any]:







      '''simple docstring'''


      UpperCAmelCase__								=  _single_underscore_re.split(__A							)
      UpperCAmelCase__								=  [_multiple_underscores_re.split(__A							) for n in name]
      return "".join(n.capitalize() for n in itertools.chain.from_iterable(__A							) if n != ""							)




def        lowerCAmelCase_			(					__A							)					->    List[str]:







      '''simple docstring'''


      if os.path.basename(__A							) != name:
            raise ValueError(f"""Should be a dataset name, not a path: {name}"""							)
      return camelcase_to_snakecase(__A							)




def        lowerCAmelCase_			(					__A,  __A							)					->    Optional[int]:







      '''simple docstring'''


      if os.path.basename(__A							) != name:
            raise ValueError(f"""Should be a dataset name, not a path: {name}"""							)
      if not re.match(_split_re,  __A							):
            raise ValueError(f"""Split name should match '{_split_re}'' but got '{split}'."""							)
      return f"""{filename_prefix_for_name(__A							)}-{split}"""




def        lowerCAmelCase_			(					__A,  __A,  __A,  __A=None							)					->    str:







      '''simple docstring'''


      UpperCAmelCase__								=  filename_prefix_for_split(__A,  __A							)
      if filetype_suffix:
            prefix += f""".{filetype_suffix}"""
      UpperCAmelCase__								=  os.path.join(__A,  __A							)
      return f"""{filepath}*"""







def        lowerCAmelCase_			(					__A,  __A,  __A,  __A=None,  __A=None							)					->    Any:







      '''simple docstring'''


      UpperCAmelCase__								=  filename_prefix_for_split(__A,  __A							)
      UpperCAmelCase__								=  os.path.join(__A,  __A							)

      if shard_lengths:
            UpperCAmelCase__								=  len(__A							)
            UpperCAmelCase__								=  [f"""{prefix}-{shard_id:05d}-of-{num_shards:05d}""" for shard_id in range(__A							)]
            if filetype_suffix:
                  UpperCAmelCase__								=  [filename + f""".{filetype_suffix}""" for filename in filenames]
            return filenames
      else:
            UpperCAmelCase__								=  prefix
            if filetype_suffix:
                  filename += f""".{filetype_suffix}"""
            return [filename]



