




'''simple docstring'''





from __future__ import annotations




def 					__SCREAMING_SNAKE_CASE   (  lowercase_					,     lowercase_					,     lowercase_					,     lowercase_					,     lowercase_					,     )       ->	None:

    """simple docstring"""


    __UpperCamelCase  		=						len(lowercase_      )

    # If row is equal to the size of the board it means there are a queen in each row in
    # the current board (possible_board)
    if row == n:
        # We convert the variable possible_board that looks like this: [1, 3, 0, 2] to
        # this: ['. Q . . ', '. . . Q ', 'Q . . . ', '. . Q . ']
        boards.append(['''. ''' * i + '''Q ''' + '''. ''' * (n - 1 - i) for i in possible_board]      )
        return

    # We iterate each column in the row to find all possible results in each row
    for col in range(lowercase_      ):
        # We apply that we learned previously. First we check that in the current board
        # (possible_board) there are not other same value because if there is it means
        # that there are a collision in vertical. Then we apply the two formulas we
        # learned before:
        #
        # 45º: y - x = b or 45: row - col = b
        # 135º: y + x = b or row + col = b.
        #
        # And we verify if the results of this two formulas not exist in their variables
        # respectively.  (diagonal_right_collisions, diagonal_left_collisions)
        #
        # If any or these are True it means there is a collision so we continue to the
        # next value in the for loop.
        if (
            col in possible_board
            or row - col in diagonal_right_collisions
            or row + col in diagonal_left_collisions
        ):
            continue

        # If it is False we call dfs function again and we update the inputs
        depth_first_search(
            [*possible_board, col]					,     [*diagonal_right_collisions, row - col]					,     [*diagonal_left_collisions, row + col]					,     lowercase_					,     lowercase_					,     )




def 					__SCREAMING_SNAKE_CASE   (  lowercase_      )       ->	None:

    """simple docstring"""


    __UpperCamelCase  		=						[]
    depth_first_search([]					,     []					,     []					,     lowercase_					,     lowercase_      )

    # Print all the boards
    for board in boards:
        for column in board:
            print(lowercase_      )
        print(''''''      )

    print(len(lowercase_      )					,     '''solutions were found.'''      )


if __name__ == "__main__":
 import doctest

 doctest.testmod()
 n_queens_solution(4)












from pathlib import PurePosixPath
from typing import Optional

import fsspec
from fsspec import AbstractFileSystem
from huggingface_hub.hf_api import DatasetInfo

from ..utils.file_utils import get_authentication_headers_for_url
from ..utils.hub import hf_hub_url

class  _lowerCamelCase						(			_SCREAMING_SNAKE_CASE   ):

      """simple docstring"""

      lowerCAmelCase__			: Any    =					""
      lowerCAmelCase__			: Any    =					"hf-legacy"  # "hf://"" is reserved for hffs







      def __init__(     self					: str ,       snake_case					: Optional[DatasetInfo] = None ,       snake_case					: Optional[str] = None ,       **snake_case					: List[Any] ,       ):
          super().__init__(self ,       **snake_case				)
          __UpperCamelCase  		=						repo_info
          __UpperCamelCase  		=						token
          __UpperCamelCase  		=						None







      def       snake_case	(     self					: List[Any]				):
          if self.dir_cache is None:
              __UpperCamelCase  		=						{}
              for hf_file in self.repo_info.siblings:
                  # TODO(QL): add sizes
                  __UpperCamelCase  		=						{
                      '''name''': hf_file.rfilename,
                      '''size''': None,
                      '''type''': '''file''',
                  }
                  self.dir_cache.update(
                      {
                          str(snake_case				): {'''name''': str(snake_case				), '''size''': None, '''type''': '''directory'''}
                          for d in list(PurePosixPath(hf_file.rfilename				).parents				)[:-1]
                      }				)







      def       snake_case	(     self					: Dict ,       snake_case					: str ,       snake_case					: str = "rb" ,       **snake_case					: Union[str, Any] ,       ):
          if not isinstance(self.repo_info ,       snake_case				):
              raise NotImplementedError(F"Open is only implemented for dataset repositories, but got {self.repo_info}"				)
          __UpperCamelCase  		=						hf_hub_url(self.repo_info.id ,       snake_case ,       revision=self.repo_info.sha				)
          return fsspec.open(
              snake_case ,       mode=snake_case ,       headers=get_authentication_headers_for_url(snake_case ,       use_auth_token=self.token				) ,       client_kwargs={'''trust_env''': True} ,       ).open()







      def       snake_case	(     self					: Optional[Any] ,       snake_case					: Tuple ,       **snake_case					: List[Any]				):
          self._get_dirs()
          __UpperCamelCase  		=						self._strip_protocol(snake_case				)
          if path in self.dir_cache:
              return self.dir_cache[path]
          else:
              raise FileNotFoundError(snake_case				)







      def       snake_case	(     self					: List[str] ,       snake_case					: int ,       snake_case					: Tuple=False ,       **snake_case					: Dict				):
          self._get_dirs()
          __UpperCamelCase  		=						PurePosixPath(path.strip('''/'''				)				)
          __UpperCamelCase  		=						{}
          for p, f in self.dir_cache.items():
              __UpperCamelCase  		=						PurePosixPath(p.strip('''/'''				)				)
              __UpperCamelCase  		=						p.parent
              if root == path:
                  __UpperCamelCase  		=						f
          __UpperCamelCase  		=						list(paths.values()				)
          if detail:
              return out
          else:
              return sorted(f['''name'''] for f in out				)






