





"""simple docstring"""





from __future__ import annotations


def       a__					(					_SCREAMING_SNAKE_CASE  ,	_SCREAMING_SNAKE_CASE    ):




		"""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(_SCREAMING_SNAKE_CASE    )

		return permissible_positions


def       a__					(					_SCREAMING_SNAKE_CASE    ):




		"""simple docstring"""


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


def       a__					(					_SCREAMING_SNAKE_CASE  ,	_SCREAMING_SNAKE_CASE  ,	_SCREAMING_SNAKE_CASE    ):




		"""simple docstring"""


		if is_complete(_SCREAMING_SNAKE_CASE    ):
				return True

		for position in get_valid_pos(_SCREAMING_SNAKE_CASE  ,	len(_SCREAMING_SNAKE_CASE    )    ):
				UpperCamelCase   ,				UpperCamelCase   =	position

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

		return False


def       a__					(					_SCREAMING_SNAKE_CASE    ):




		"""simple docstring"""


		UpperCamelCase   =	[[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    ):
						UpperCamelCase   =	1
						if open_knight_tour_helper(_SCREAMING_SNAKE_CASE  ,	(i, j)  ,	1    ):
								return board
						UpperCamelCase   =	0

		UpperCamelCase   =	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"""





def       a__					(					_SCREAMING_SNAKE_CASE    ):




		"""simple docstring"""


		UpperCamelCase   =	0
		for ch in input_str:
				UpperCamelCase   =	ord(_SCREAMING_SNAKE_CASE    )
				UpperCamelCase   =	pow(2  ,	_SCREAMING_SNAKE_CASE    )

				# If we already turned on bit for current character's unicode
				if bitmap >> ch_unicode & 1 == 1:
						return False
				bitmap |= ch_bit_index_on
		return True


if __name__ == "__main__":
						import doctest

						doctest.testmod()






