






"""simple docstring"""
from __future__ import annotations

def 				snake_case      (   A__						):
			UpperCAmelCase_     : Dict			     =					len(A__						)
			# We need to create solution object to save path.
			UpperCAmelCase_     : Dict			     =					[[0 for _ in range(A__						)] for _ in range(A__						)]
			UpperCAmelCase_     : Optional[int]			     =					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 				snake_case      (   A__	,A__	,A__	,A__						):
			UpperCAmelCase_     : Any			     =					len(A__						)
			# Final check point.
			if i == j == (size - 1):
						UpperCAmelCase_     : Optional[int]			     =					1
						return True

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

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

									UpperCAmelCase_     : Optional[Any]			     =					0
									return False
			return False


if __name__ == "__main__":
			import doctest

			doctest.testmod()











"""simple docstring"""
from __future__ import annotations







class 			UpperCamelCase_       :





	def __init__(      self					: Any	,	lowerCAmelCase_					: int						)						->			None:
				UpperCAmelCase_     : Any			     =					data
				UpperCAmelCase_     : Node | None			     =					None
				UpperCAmelCase_     : Node | None			     =					None





def 				snake_case      (   A__						):  # In Order traversal of the tree
			if tree:
						display(tree.left						)
						print(tree.data						)
						display(tree.right						)

def 				snake_case      (   A__						):
			return 1 + max(depth_of_tree(tree.left						)	,depth_of_tree(tree.right						)						) if tree else 0

def 				snake_case      (   A__						):
			if not tree:
						return True
			if tree.left and tree.right:
						return is_full_binary_tree(tree.left						) and is_full_binary_tree(tree.right						)
			else:
						return not tree.left and not tree.right

def 				snake_case      (   ):  # Main function for testing.
			UpperCAmelCase_     : List[str]			     =					Node(1						)
			UpperCAmelCase_     : Any			     =					Node(2						)
			UpperCAmelCase_     : Optional[Any]			     =					Node(3						)
			UpperCAmelCase_     : Union[str, Any]			     =					Node(4						)
			UpperCAmelCase_     : int			     =					Node(5						)
			UpperCAmelCase_     : Optional[int]			     =					Node(6						)
			UpperCAmelCase_     : Any			     =					Node(7						)
			UpperCAmelCase_     : List[str]			     =					Node(8						)
			UpperCAmelCase_     : List[Any]			     =					Node(9						)

			print(is_full_binary_tree(A__						)						)
			print(depth_of_tree(A__						)						)
			print("Tree is: "						)
			display(A__						)


if __name__ == "__main__":
			main()



