




from __future__ import annotations

def       _SCREAMING_SNAKE_CASE      (							lowercase     :	List[str]     ,							lowercase     :	Any					):


						'''simple docstring'''



						lowerCamelCase_							=   position
						lowerCamelCase_							=   [
						    (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),
						]
						lowerCamelCase_							=   []

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

						return permissible_positions

def       _SCREAMING_SNAKE_CASE      (							lowercase     :	List[Any]					):


						'''simple docstring'''



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

def       _SCREAMING_SNAKE_CASE      (							lowercase     :	List[str]     ,							lowercase     :	List[Any]     ,							lowercase     :	Union[str, Any]					):


						'''simple docstring'''



						if is_complete(lowerCamelCase_					):
												return True

						for position in get_valid_pos(lowerCamelCase_     ,							len(lowerCamelCase_					)					):
												lowerCamelCase_							=   position

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

						return False

def       _SCREAMING_SNAKE_CASE      (							lowercase     :	List[str]					):


						'''simple docstring'''



						lowerCamelCase_							=   [[0 for i in range(lowerCamelCase_					)] for j in range(lowerCamelCase_					)]

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

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


if __name__ == "__main__":
	import doctest

	doctest.testmod()









from ..utils import DummyObject, requires_backends







class   A(						metaclass=UpperCamelCase       ):



 '''simple docstring'''


 UpperCamelCase						       =						['''keras_nlp''']

 def __init__(    self :  Optional[int]						,							*A_ :  Any						,							**A_ :  Dict  )       ->     Optional[int]:

       """simple docstring"""






       requires_backends(self						,							['keras_nlp']  )



