


'''simple docstring'''



from __future__ import annotations


def    lowerCamelCase__   ( A     :    tuple[int, int]   ,     A     :    int  ):




						'''simple docstring'''






						UpperCAmelCase       ,       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       ,       UpperCAmelCase         =			position
												if 0 <= y_test < n and 0 <= x_test < n:
																		permissible_positions.append(A  )

						return permissible_positions


def    lowerCamelCase__   ( A     :    list[list[int]]  ):




						'''simple docstring'''






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


def    lowerCamelCase__   ( A     :    list[list[int]]   ,     A     :    tuple[int, int]   ,     A     :    int  ):




						'''simple docstring'''






						if is_complete(A  ):
												return True

						for position in get_valid_pos(A   ,     len(A  )  ):
												UpperCAmelCase       ,       UpperCAmelCase         =			position

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

						return False


def    lowerCamelCase__   ( A     :    int  ):




						'''simple docstring'''






						UpperCAmelCase         =			[[0 for i in range(A  )] for j in range(A  )]

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

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


if __name__ == "__main__":
	import doctest

	doctest.testmod()





'''simple docstring'''



def    lowerCamelCase__   ( A     :    str  ):




						'''simple docstring'''






						assert column_title.isupper()
						UpperCAmelCase         =			0
						UpperCAmelCase         =			len(A  ) - 1
						UpperCAmelCase         =			0

						while index >= 0:
												UpperCAmelCase         =			(ord(column_title[index]  ) - 64) * pow(26   ,     A  )
												answer += value
												power += 1
												index -= 1

						return answer


if __name__ == "__main__":
	from doctest import testmod

	testmod()





