
from __future__ import annotations

def a__    (       A_					):






  '''simple docstring'''





  __magic_name__				     =       len(A_					)
  # We need to create solution object to save path.
  __magic_name__				     =       [[0 for _ in range(A_					)] for _ in range(A_					)]
  __magic_name__				     =       run_maze(A_,     0,     0,     A_					)
  if solved:
    print("""\n""".join(str(A_					) for row in solutions					)					)
  else:
    print("""No solution exists!"""					)
  return solved

def a__    (       A_,     A_,     A_,     A_					):






  '''simple docstring'''





  __magic_name__				     =       len(A_					)
  # Final check point.
  if i == j == (size - 1):
    __magic_name__				     =       1
    return True

  __magic_name__				     =       (not i < 0) and (not j < 0)  # Check lower bounds
  __magic_name__				     =       (i < size) and (j < size)  # Check upper bounds

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

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

      __magic_name__				     =       0
      return False
  return False


if __name__ == "__main__":
    import doctest

    doctest.testmod()



from __future__ import annotations

from collections.abc import Iterator




class        UpperCAmelCase_			:


  '''simple docstring'''







  def __init__( self			: Dict			,							UpperCamelCase__			: int    )			->	None:







    """simple docstring"""






    __magic_name__				     =       value
    __magic_name__				     =       None
    __magic_name__				     =       None







class        UpperCAmelCase_			:


  '''simple docstring'''







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







    """simple docstring"""






    __magic_name__				     =       tree
  def 							_lowercase							( self			: Optional[Any]			,							UpperCamelCase__			: Node | None    )			->	int:







    """simple docstring"""






    if node is None:
      return 0
    return node.value + (
        self.depth_first_search(node.left    ) + self.depth_first_search(node.right    )
    )





  def __iter__( self			: int    )			->	Iterator[int]:







    """simple docstring"""






    yield self.depth_first_search(self.tree    )


if __name__ == "__main__":
    import doctest

    doctest.testmod()

