
'''simple docstring'''
from __future__ import annotations







def        A_     (						__SCREAMING_SNAKE_CASE						:  tuple[int, int]			,     __SCREAMING_SNAKE_CASE						:  int )				->       list[tuple[int, int]]:





  """simple docstring"""

  __A		:     List[str]												=		position
  __A		:     str												=		[
      (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),
  ]
  __A		:     str												=		[]

  for position in positions:
    __A		:     Union[str, Any]												=		position
    if 0 <= y_test < n and 0 <= x_test < n:
      permissible_positions.append(__SCREAMING_SNAKE_CASE )

  return permissible_positions







def        A_     (						__SCREAMING_SNAKE_CASE						:  list[list[int]] )				->       bool:





  """simple docstring"""

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







def        A_     (						__SCREAMING_SNAKE_CASE						:  list[list[int]]			,     __SCREAMING_SNAKE_CASE						:  tuple[int, int]			,     __SCREAMING_SNAKE_CASE						:  int )				->       bool:





  """simple docstring"""

  if is_complete(__SCREAMING_SNAKE_CASE ):
    return True

  for position in get_valid_pos(__SCREAMING_SNAKE_CASE			,     len(__SCREAMING_SNAKE_CASE ) ):
    __A		:     Union[str, Any]												=		position

    if board[y][x] == 0:
      __A		:     Optional[Any]												=		curr + 1
      if open_knight_tour_helper(__SCREAMING_SNAKE_CASE			,     __SCREAMING_SNAKE_CASE			,     curr + 1 ):
        return True
      __A		:     Optional[Any]												=		0

  return False







def        A_     (						__SCREAMING_SNAKE_CASE						:  int )				->       list[list[int]]:





  """simple docstring"""

  __A		:     Optional[Any]												=		[[0 for i in range(__SCREAMING_SNAKE_CASE )] for j in range(__SCREAMING_SNAKE_CASE )]

  for i in range(__SCREAMING_SNAKE_CASE ):
    for j in range(__SCREAMING_SNAKE_CASE ):
      __A		:     Optional[Any]												=		1
      if open_knight_tour_helper(__SCREAMING_SNAKE_CASE			,     (i, j)			,     1 ):
        return board
      __A		:     Tuple												=		0

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


if __name__ == "__main__":
     import doctest

     doctest.testmod()





'''simple docstring'''
from packaging import version

from .import_utils import is_accelerate_available


if is_accelerate_available():
     import accelerate







def        A_     (						__SCREAMING_SNAKE_CASE						:  Dict )				->       Optional[int]:





  """simple docstring"""

  if not is_accelerate_available():
    return method
  __A		:     int												=		version.parse(accelerate.__version__ ).base_version
  if version.parse(__SCREAMING_SNAKE_CASE ) < version.parse("""0.17.0""" ):
    return method

  def wrapper(self						:  str			,     *__SCREAMING_SNAKE_CASE						:  Tuple			,     **__SCREAMING_SNAKE_CASE						:  Tuple ):
    if hasattr(self			,     """_hf_hook""" ) and hasattr(self._hf_hook			,     """pre_forward""" ):
      self._hf_hook.pre_forward(self )
    return method(self			,     *__SCREAMING_SNAKE_CASE			,     **__SCREAMING_SNAKE_CASE )

  return wrapper



