





class        snake_case_    :






  def __init__(							self			:					Union[str, Any]      )->None:






   '''simple docstring'''

   __lowerCAmelCase					:	dict[str, TrieNode]      =       {}  # Mapping from char to TrieNode
   __lowerCAmelCase					:	Tuple      =       False






  def 				UpperCAmelCase__						(							self			:					Tuple       ,  _snake_case			:					list[str]      )->None:






   '''simple docstring'''

   for word in words:
    self.insert(_snake_case      )






  def 				UpperCAmelCase__						(							self			:					Tuple       ,  _snake_case			:					str      )->None:






   '''simple docstring'''

   __lowerCAmelCase					:	Dict      =       self
   for char in word:
    if char not in curr.nodes:
     __lowerCAmelCase					:	str      =       TrieNode()
    __lowerCAmelCase					:	Union[str, Any]      =       curr.nodes[char]
   __lowerCAmelCase					:	Optional[int]      =       True






  def 				UpperCAmelCase__						(							self			:					Any       ,  _snake_case			:					str      )->bool:






   '''simple docstring'''

   __lowerCAmelCase					:	Union[str, Any]      =       self
   for char in word:
    if char not in curr.nodes:
     return False
    __lowerCAmelCase					:	List[str]      =       curr.nodes[char]
   return curr.is_leaf






  def 				UpperCAmelCase__						(							self			:					Any       ,  _snake_case			:					str      )->None:






   '''simple docstring'''

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

   _delete(self       ,  _snake_case       ,  0      )






def 	_SCREAMING_SNAKE_CASE		(      SCREAMING_SNAKE_CASE		:TrieNode   ,   SCREAMING_SNAKE_CASE		:str   )      ->   None:
 if node.is_leaf:
  print(SCREAMING_SNAKE_CASE   ,   end=""" """   )

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






def 	_SCREAMING_SNAKE_CASE		(      )      ->   bool:
 __lowerCAmelCase					:	Union[str, Any]      =       """banana bananas bandana band apple all beast""".split()
 __lowerCAmelCase					:	Dict      =       TrieNode()
 root.insert_many(SCREAMING_SNAKE_CASE   )
 # print_words(root, "")
 assert all(root.find(SCREAMING_SNAKE_CASE   ) 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 	_SCREAMING_SNAKE_CASE		(      SCREAMING_SNAKE_CASE		:str   ,   SCREAMING_SNAKE_CASE		:bool   )      ->   None:
 print(str(SCREAMING_SNAKE_CASE   )   ,   """works!""" if passes else """doesn't work :("""   )






def 	_SCREAMING_SNAKE_CASE		(      )      ->   None:
 assert test_trie()






def 	_SCREAMING_SNAKE_CASE		(      )      ->   None:
 print_results("""Testing trie functionality"""   ,   test_trie()   )


if __name__ == "__main__":
      main()






from __future__ import annotations






def 	_SCREAMING_SNAKE_CASE		(      SCREAMING_SNAKE_CASE		:list[list[int]]   )      ->   bool:
 __lowerCAmelCase					:	Tuple      =       len(SCREAMING_SNAKE_CASE   )
 # We need to create solution object to save path.
 __lowerCAmelCase					:	str      =       [[0 for _ in range(SCREAMING_SNAKE_CASE   )] for _ in range(SCREAMING_SNAKE_CASE   )]
 __lowerCAmelCase					:	str      =       run_maze(SCREAMING_SNAKE_CASE   ,   0   ,   0   ,   SCREAMING_SNAKE_CASE   )
 if solved:
  print("""\n""".join(str(SCREAMING_SNAKE_CASE   ) for row in solutions   )   )
 else:
  print("""No solution exists!"""   )
 return solved






def 	_SCREAMING_SNAKE_CASE		(      SCREAMING_SNAKE_CASE		:list[list[int]]   ,   SCREAMING_SNAKE_CASE		:int   ,   SCREAMING_SNAKE_CASE		:int   ,   SCREAMING_SNAKE_CASE		:list[list[int]]   )      ->   bool:
 __lowerCAmelCase					:	List[str]      =       len(SCREAMING_SNAKE_CASE   )
 # Final check point.
 if i == j == (size - 1):
  __lowerCAmelCase					:	str      =       1
  return True

 __lowerCAmelCase					:	Optional[Any]      =       (not i < 0) and (not j < 0)  # Check lower bounds
 __lowerCAmelCase					:	Optional[Any]      =       (i < size) and (j < size)  # Check upper bounds

 if lower_flag and upper_flag:
  # check for already visited and block points.
  __lowerCAmelCase					:	int      =       (not solutions[i][j]) and (not maze[i][j])
  if block_flag:
   # check visited
   __lowerCAmelCase					:	Tuple      =       1

   # check for directions
   if (
       run_maze(SCREAMING_SNAKE_CASE   ,   i + 1   ,   SCREAMING_SNAKE_CASE   ,   SCREAMING_SNAKE_CASE   )
       or run_maze(SCREAMING_SNAKE_CASE   ,   SCREAMING_SNAKE_CASE   ,   j + 1   ,   SCREAMING_SNAKE_CASE   )
       or run_maze(SCREAMING_SNAKE_CASE   ,   i - 1   ,   SCREAMING_SNAKE_CASE   ,   SCREAMING_SNAKE_CASE   )
       or run_maze(SCREAMING_SNAKE_CASE   ,   SCREAMING_SNAKE_CASE   ,   j - 1   ,   SCREAMING_SNAKE_CASE   )
   ):
    return True

   __lowerCAmelCase					:	Tuple      =       0
   return False
 return False


if __name__ == "__main__":
      import doctest

      doctest.testmod()