






"""simple docstring"""

class 						A_							:







    def __init__(							self							:						List[Any]	)				->					int:
          __magic_name__            =     {}  # Mapping from char to TrieNode
          __magic_name__            =     False







    def     _snake_case					(							self							:						List[str]						,    __lowerCamelCase							:						list[str]	)				->					int:
          for word in words:
                self.insert(_lowercase	)







    def     _snake_case					(							self							:						str						,    __lowerCamelCase							:						str	)				->					int:
          __magic_name__            =     self
          for char in word:
                if char not in curr.nodes:
                      __magic_name__            =     TrieNode()
                __magic_name__            =     curr.nodes[char]
          __magic_name__            =     True







    def     _snake_case					(							self							:						Union[str, Any]						,    __lowerCamelCase							:						str	)				->					List[Any]:
          __magic_name__            =     self
          for char in word:
                if char not in curr.nodes:
                      return False
                __magic_name__            =     curr.nodes[char]
          return curr.is_leaf







    def     _snake_case					(							self							:						Optional[int]						,    __lowerCamelCase							:						str	)				->					Tuple:

          def _delete(__lowerCamelCase							:						TrieNode						,    __lowerCamelCase							:						str						,    __lowerCamelCase							:						int	) -> bool:
                if index == len(_lowercase	):
                      # If word does not exist
                      if not curr.is_leaf:
                            return False
                      __magic_name__            =     False
                      return len(curr.nodes	) == 0
                __magic_name__            =     word[index]
                __magic_name__            =     curr.nodes.get(_lowercase	)
                # If char not in current trie node
                if not char_node:
                      return False
                # Flag to check if node can be deleted
                __magic_name__            =     _delete(_lowercase						,    _lowercase						,    index + 1	)
                if delete_curr:
                      del curr.nodes[char]
                      return len(curr.nodes	) == 0
                return delete_curr

          _delete(self						,    _lowercase						,    0	)






def _lowerCAmelCase	(  __lowerCamelCase:Dict ,						__lowerCamelCase:Union[str, Any]   ):

      '''simple docstring'''






      if node.is_leaf:
            print(UpperCamelCase__ ,						end=" "   )

      for key, value in node.nodes.items():
            print_words(UpperCamelCase__ ,						word + key   )






def _lowerCAmelCase	(  ):

      '''simple docstring'''






      __magic_name__            =     "banana bananas bandana band apple all beast".split()
      __magic_name__            =     TrieNode()
      root.insert_many(UpperCamelCase__   )
      # print_words(root, "")
      assert all(root.find(UpperCamelCase__   ) for word in words   )
      assert root.find("banana"   )
      assert not root.find("bandanas"   )
      assert not root.find("apps"   )
      assert root.find("apple"   )
      assert root.find("all"   )
      root.delete("all"   )
      assert not root.find("all"   )
      root.delete("banana"   )
      assert not root.find("banana"   )
      assert root.find("bananas"   )
      return True






def _lowerCAmelCase	(  __lowerCamelCase:str ,						__lowerCamelCase:Tuple   ):

      '''simple docstring'''






      print(str(UpperCamelCase__   ) ,						"works!" if passes else "doesn\'t work :("   )






def _lowerCAmelCase	(  ):

      '''simple docstring'''






      assert test_trie()






def _lowerCAmelCase	(  ):

      '''simple docstring'''






      print_results("Testing trie functionality" ,						test_trie()   )


if __name__ == "__main__":
   main()











"""simple docstring"""

from __future__ import annotations

lowercase    			=       []






def _lowerCAmelCase	(  __lowerCamelCase:list[list[int]] ,						__lowerCamelCase:int ,						__lowerCamelCase:int   ):

						'''simple docstring'''






						for i in range(len(__lowerCamelCase   )   ):
												if board[row][i] == 1:
																		return False
						for i in range(len(__lowerCamelCase   )   ):
												if board[i][column] == 1:
																		return False
						for i, j in zip(range(__lowerCamelCase ,						-1 ,						-1   ) ,						range(__lowerCamelCase ,						-1 ,						-1   )   ):
												if board[i][j] == 1:
																		return False
						for i, j in zip(range(__lowerCamelCase ,						-1 ,						-1   ) ,						range(__lowerCamelCase ,						len(__lowerCamelCase   )   )   ):
												if board[i][j] == 1:
																		return False
						return True






def _lowerCAmelCase	(  __lowerCamelCase:list[list[int]] ,						__lowerCamelCase:int   ):

						'''simple docstring'''






						if row >= len(__lowerCamelCase   ):
												solution.append(__lowerCamelCase   )
												printboard(__lowerCamelCase   )
												print()
												return True
						for i in range(len(__lowerCamelCase   )   ):
												if is_safe(__lowerCamelCase ,						__lowerCamelCase ,						__lowerCamelCase   ):
																		__magic_name__            =     1
																		solve(__lowerCamelCase ,						row + 1   )
																		__magic_name__            =     0
						return False






def _lowerCAmelCase	(  __lowerCamelCase:list[list[int]]   ):

						'''simple docstring'''






						for i in range(len(__lowerCamelCase   )   ):
												for j in range(len(__lowerCamelCase   )   ):
																		if board[i][j] == 1:
																								print("Q" ,						end=" "   )
																		else:
																								print("." ,						end=" "   )
												print()


# n=int(input("The no. of queens"))
lowercase    			=       8
lowercase    			=       [[0 for i in range(n)] for j in range(n)]
solve(board, 0)


print('''The total no. of solutions are :''', len(solution))



