




"""simple docstring"""






from __future__ import annotations

import queue






class lowerCAmelCase__      :






			'''simple docstring'''



			def __init__(    self    , lowercase    ):
							_lowerCamelCase	:     List[Any]       =       data
							_lowerCamelCase	:     Union[str, Any]       =       None
							_lowerCamelCase	:     Dict       =       None







def 	_snake_case     (							):
				print('\n********Press N to stop entering at any point of time********\n'						)
				_lowerCamelCase	:     Dict       =       input('Enter the value of the root node: '						).strip().lower()
				_lowerCamelCase	:     queue.Queue       =       queue.Queue()
				_lowerCamelCase	:     List[str]       =       TreeNode(int(lowercase__						)						)
				q.put(lowercase__						)
				while not q.empty():
								_lowerCamelCase	:     Any       =       q.get()
								_lowerCamelCase	:     List[str]       =       f'''Enter the left node of {node_found.data}: '''
								_lowerCamelCase	:     int       =       input(lowercase__						).strip().lower() or 'n'
								if check == "n":
												return tree_node
								_lowerCamelCase	:     Optional[Any]       =       TreeNode(int(lowercase__						)						)
								_lowerCamelCase	:     str       =       left_node
								q.put(lowercase__						)
								_lowerCamelCase	:     List[str]       =       f'''Enter the right node of {node_found.data}: '''
								_lowerCamelCase	:     int       =       input(lowercase__						).strip().lower() or 'n'
								if check == "n":
												return tree_node
								_lowerCamelCase	:     Any       =       TreeNode(int(lowercase__						)						)
								_lowerCamelCase	:     Dict       =       right_node
								q.put(lowercase__						)
				raise







def 	_snake_case     (							lowercase__						):
				if not isinstance(lowercase__				,       lowercase__						) or not node:
								return
				print(node.data				,       end=','						)
				pre_order(node.left						)
				pre_order(node.right						)







def 	_snake_case     (							lowercase__						):
				if not isinstance(lowercase__				,       lowercase__						) or not node:
								return
				in_order(node.left						)
				print(node.data				,       end=','						)
				in_order(node.right						)







def 	_snake_case     (							lowercase__						):
				if not isinstance(lowercase__				,       lowercase__						) or not node:
								return
				post_order(node.left						)
				post_order(node.right						)
				print(node.data				,       end=','						)







def 	_snake_case     (							lowercase__						):
				if not isinstance(lowercase__				,       lowercase__						) or not node:
								return
				_lowerCamelCase	:     queue.Queue       =       queue.Queue()
				q.put(lowercase__						)
				while not q.empty():
								_lowerCamelCase	:     Optional[int]       =       q.get()
								print(node_dequeued.data				,       end=','						)
								if node_dequeued.left:
												q.put(node_dequeued.left						)
								if node_dequeued.right:
												q.put(node_dequeued.right						)







def 	_snake_case     (							lowercase__						):
				if not isinstance(lowercase__				,       lowercase__						) or not node:
								return
				_lowerCamelCase	:     queue.Queue       =       queue.Queue()
				q.put(lowercase__						)
				while not q.empty():
								_lowerCamelCase	:     int       =       []
								while not q.empty():
												_lowerCamelCase	:     Tuple       =       q.get()
												print(node_dequeued.data				,       end=','						)
												if node_dequeued.left:
																list_.append(node_dequeued.left						)
												if node_dequeued.right:
																list_.append(node_dequeued.right						)
								print()
								for node in list_:
												q.put(lowercase__						)







def 	_snake_case     (							lowercase__						):
				if not isinstance(lowercase__				,       lowercase__						) or not node:
								return
				_lowerCamelCase	:     list[TreeNode]       =       []
				_lowerCamelCase	:     Union[str, Any]       =       node
				while n or stack:
								while n:  # start from root node, find its left child
												print(n.data				,       end=','						)
												stack.append(lowercase__						)
												_lowerCamelCase	:     Dict       =       n.left
								# end of while means current node doesn't have left child
								_lowerCamelCase	:     int       =       stack.pop()
								# start to traverse its right child
								_lowerCamelCase	:     Dict       =       n.right







def 	_snake_case     (							lowercase__						):
				if not isinstance(lowercase__				,       lowercase__						) or not node:
								return
				_lowerCamelCase	:     list[TreeNode]       =       []
				_lowerCamelCase	:     List[Any]       =       node
				while n or stack:
								while n:
												stack.append(lowercase__						)
												_lowerCamelCase	:     List[Any]       =       n.left
								_lowerCamelCase	:     Dict       =       stack.pop()
								print(n.data				,       end=','						)
								_lowerCamelCase	:     Optional[int]       =       n.right







def 	_snake_case     (							lowercase__						):
				if not isinstance(lowercase__				,       lowercase__						) or not node:
								return
				_lowerCamelCase,					_lowerCamelCase	:     Optional[Any]       =       [], []
				_lowerCamelCase	:     Optional[int]       =       node
				stacka.append(lowercase__						)
				while stacka:  # to find the reversed order of post order, store it in stack2
								_lowerCamelCase	:     Dict       =       stacka.pop()
								if n.left:
												stacka.append(n.left						)
								if n.right:
												stacka.append(n.right						)
								stacka.append(lowercase__						)
				while stacka:  # pop up from stack2 will be the post order
								print(stacka.pop().data				,       end=','						)







def 	_snake_case     (							lowercase__ = ""				,       lowercase__=50				,       lowercase__="*"						):
				if not s:
								return "\n" + width * char
				_lowerCamelCase,					_lowerCamelCase	:     Tuple       =       divmod(width - len(lowercase__						) - 2				,       2						)
				return f'''{left * char} {s} {(left + extra) * char}'''


if __name__ == "__main__":
			import doctest

			doctest.testmod()
			print(prompt("""Binary Tree Traversals"""))

			lowercase__			=		build_tree()
			print(prompt("""Pre Order Traversal"""))
			pre_order(node)
			print(prompt() + """\n""")

			print(prompt("""In Order Traversal"""))
			in_order(node)
			print(prompt() + """\n""")

			print(prompt("""Post Order Traversal"""))
			post_order(node)
			print(prompt() + """\n""")

			print(prompt("""Level Order Traversal"""))
			level_order(node)
			print(prompt() + """\n""")

			print(prompt("""Actual Level Order Traversal"""))
			level_order_actual(node)
			print("""*""" * 50 + """\n""")

			print(prompt("""Pre Order Traversal - Iteration Version"""))
			pre_order_iter(node)
			print(prompt() + """\n""")

			print(prompt("""In Order Traversal - Iteration Version"""))
			in_order_iter(node)
			print(prompt() + """\n""")

			print(prompt("""Post Order Traversal - Iteration Version"""))
			post_order_iter(node)
			print(prompt())





"""simple docstring"""






def 	_snake_case     (							lowercase__ = 1				,       lowercase__ = 1000						):
				_lowerCamelCase	:     Optional[int]       =       1
				_lowerCamelCase	:     List[Any]       =       0

				for divide_by_number in range(lowercase__				,       digit + 1						):
								_lowerCamelCase	:     list[int]       =       []
								_lowerCamelCase	:     Dict       =       numerator
								for _ in range(1				,       digit + 1						):
												if now_divide in has_been_divided:
																if longest_list_length < len(lowercase__						):
																				_lowerCamelCase	:     Any       =       len(lowercase__						)
																				_lowerCamelCase	:     Any       =       divide_by_number
												else:
																has_been_divided.append(lowercase__						)
																_lowerCamelCase	:     int       =       now_divide * 10 % divide_by_number

				return the_digit


# Tests
if __name__ == "__main__":
			import doctest

			doctest.testmod()