



"""simple docstring"""
from __future__ import annotations


def 			_SCREAMING_SNAKE_CASE						(__lowerCAmelCase ,  __lowerCAmelCase							) ->						list[tuple[int, int]]:







  '''simple docstring'''


  lowercase_					,    lowercase_								= position
  lowercase_								= [
      (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),
  ]
  lowercase_								= []

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

  return permissible_positions


def 			_SCREAMING_SNAKE_CASE						(__lowerCAmelCase							) ->						bool:







  '''simple docstring'''


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


def 			_SCREAMING_SNAKE_CASE						(__lowerCAmelCase ,  __lowerCAmelCase ,  __lowerCAmelCase							) ->						bool:







  '''simple docstring'''


  if is_complete(__lowerCAmelCase							):
    return True

  for position in get_valid_pos(__lowerCAmelCase ,  len(__lowerCAmelCase							)							):
    lowercase_					,    lowercase_								= position

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

  return False


def 			_SCREAMING_SNAKE_CASE						(__lowerCAmelCase							) ->						list[list[int]]:







  '''simple docstring'''


  lowercase_								= [[0 for i in range(__lowerCAmelCase							)] for j in range(__lowerCAmelCase							)]

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

  lowercase_								= 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 ..utils import DummyObject, requires_backends


class    SCREAMING_SNAKE_CASE__ (							metaclass=__UpperCAmelCase   ):
    lowercase__      =   ["keras_nlp"]

    def __init__(				self			:				Dict ,  *lowerCAmelCase_			:				List[str] ,  **lowerCAmelCase_			:				Tuple):







      """simple docstring"""







      requires_backends(self ,  ["""keras_nlp"""])

