

"""simple docstring"""

from __future__ import annotations



def       SCREAMING_SNAKE_CASE							( lowercase__					,					lowercase__					,					lowercase__					,					lowercase__					,					lowercase__					,					)			->						None:
 lowerCAmelCase__   :				List[Any] 			=				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:
 lowerCAmelCase__   :				list[list[str]] 			=				[]
 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)









"""simple docstring"""

import os
import unittest

from transformers import LxmertTokenizer, LxmertTokenizerFast
from transformers.models.bert.tokenization_bert import VOCAB_FILES_NAMES
from transformers.testing_utils import require_tokenizers

from ...test_tokenization_common import TokenizerTesterMixin






@require_tokenizers
class 			__a					(						__magic_name__       ,	unittest.TestCase       ):





       """simple docstring"""


       __UpperCamelCase					:      Optional[Any]    =						LxmertTokenizer
       __UpperCamelCase					:      Optional[Any]    =						LxmertTokenizerFast
       __UpperCamelCase					:      str    =						True
       __UpperCamelCase					:      Any    =						True






       def 			SCREAMING_SNAKE_CASE_	(   self   ):





        """simple docstring"""

        super().setUp()

        lowerCAmelCase__   :				Tuple 			=				[
            "[UNK]",
            "[CLS]",
            "[SEP]",
            "want",
            "##want",
            "##ed",
            "wa",
            "un",
            "runn",
            "##ing",
            ",",
            "low",
            "lowest",
        ]
        lowerCAmelCase__   :				Dict 			=				os.path.join(self.tmpdirname			,					VOCAB_FILES_NAMES["vocab_file"]   )
        with open(self.vocab_file			,					"w"			,					encoding="utf-8"   ) as vocab_writer:
         vocab_writer.write("".join([x + "\n" for x in vocab_tokens]   )   )






       def 			SCREAMING_SNAKE_CASE_	(   self			,					snake_case   ):





        """simple docstring"""

        lowerCAmelCase__   :				List[Any] 			=				"UNwant\u00E9d,running"
        lowerCAmelCase__   :				Union[str, Any] 			=				"unwanted, running"
        return input_text, output_text






       def 			SCREAMING_SNAKE_CASE_	(   self   ):





        """simple docstring"""

        lowerCAmelCase__   :				str 			=				self.tokenizer_class(self.vocab_file   )

        lowerCAmelCase__   :				List[Any] 			=				tokenizer.tokenize("UNwant\u00E9d,running"   )
        self.assertListEqual(snake_case			,					["un", "##want", "##ed", ",", "runn", "##ing"]   )
        self.assertListEqual(tokenizer.convert_tokens_to_ids(snake_case   )			,					[7, 4, 5, 10, 8, 9]   )






       def 			SCREAMING_SNAKE_CASE_	(   self   ):





        """simple docstring"""

        if not self.test_rust_tokenizer:
         return

        lowerCAmelCase__   :				int 			=				self.get_tokenizer()
        lowerCAmelCase__   :				List[str] 			=				self.get_rust_tokenizer()

        lowerCAmelCase__   :				Optional[Any] 			=				"I was born in 92000, and this is falsé."

        lowerCAmelCase__   :				int 			=				tokenizer.tokenize(snake_case   )
        lowerCAmelCase__   :				int 			=				rust_tokenizer.tokenize(snake_case   )
        self.assertListEqual(snake_case			,					snake_case   )

        lowerCAmelCase__   :				str 			=				tokenizer.encode(snake_case			,					add_special_tokens=snake_case   )
        lowerCAmelCase__   :				List[str] 			=				rust_tokenizer.encode(snake_case			,					add_special_tokens=snake_case   )
        self.assertListEqual(snake_case			,					snake_case   )

        lowerCAmelCase__   :				Tuple 			=				self.get_rust_tokenizer()
        lowerCAmelCase__   :				Tuple 			=				tokenizer.encode(snake_case   )
        lowerCAmelCase__   :				List[Any] 			=				rust_tokenizer.encode(snake_case   )
        self.assertListEqual(snake_case			,					snake_case   )






