


'''simple docstring'''





from __future__ import annotations
class 	lowerCamelCase_       :



					'''simple docstring'''







					def __init__(				self ,       snake_case_						)   ->			None:







								'''simple docstring'''

								__lowercase 					=   data
								__lowercase 					=   None
								__lowercase 					=   None




def 		lowercase_  (     _UpperCamelCase  ):  # In Order traversal of the tree


			'''simple docstring'''







			if tree:
						display(tree.left  )
						print(tree.data  )
						display(tree.right  )


def 		lowercase_  (     _UpperCamelCase  ):


			'''simple docstring'''







			return 1 + max(depth_of_tree(tree.left  )       ,			depth_of_tree(tree.right  )  ) if tree else 0


def 		lowercase_  (     _UpperCamelCase  ):


			'''simple docstring'''







			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 		lowercase_  (     ):  # Main function for testing.


			'''simple docstring'''







			__lowercase 					=   Node(1  )
			__lowercase 					=   Node(2  )
			__lowercase 					=   Node(3  )
			__lowercase 					=   Node(4  )
			__lowercase 					=   Node(5  )
			__lowercase 					=   Node(6  )
			__lowercase 					=   Node(7  )
			__lowercase 					=   Node(8  )
			__lowercase 					=   Node(9  )

			print(is_full_binary_tree(_UpperCamelCase  )  )
			print(depth_of_tree(_UpperCamelCase  )  )
			print('''Tree is: '''  )
			display(_UpperCamelCase  )


if __name__ == "__main__":
	main()






from itertools import count


def 		lowercase_  (     _UpperCamelCase = 50  ):


			'''simple docstring'''







			__lowercase 					=   [1] * min_block_length

			for n in count(_UpperCamelCase  ):
						fill_count_functions.append(1  )

						for block_length in range(_UpperCamelCase       ,			n + 1  ):
									for block_start in range(n - block_length  ):
												fill_count_functions[n] += fill_count_functions[
												    n - block_start - block_length - 1
												]

									fill_count_functions[n] += 1

						if fill_count_functions[n] > 1_00_00_00:
									break

			return n


if __name__ == "__main__":
	print(f'''{solution() = }''')


