



'''simple docstring'''

from __future__ import annotations

import queue



class 		lowerCamelCase__      :




					'''simple docstring'''



					def __init__(  self				:	Optional[int]     ,  UpperCamelCase_				:	List[str]					)  ->       Optional[int]:



						'''simple docstring'''





						_lowercase					:       List[Any]       =		data
						_lowercase					:       str       =		None
						_lowercase					:       Dict       =		None







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







def 						__UpperCamelCase				(							_lowercase					) ->			None:




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







def 						__UpperCamelCase				(							_lowercase					) ->			None:




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







def 						__UpperCamelCase				(							_lowercase					) ->			None:




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







def 						__UpperCamelCase				(							_lowercase					) ->			None:




	if not isinstance(__A,				__A					) or not node:
		return
	_lowercase					:       queue.Queue       =		queue.Queue()
	q.put(__A					)
	while not q.empty():
		_lowercase					:       List[Any]       =		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 						__UpperCamelCase				(							_lowercase					) ->			None:




	if not isinstance(__A,				__A					) or not node:
		return
	_lowercase					:       queue.Queue       =		queue.Queue()
	q.put(__A					)
	while not q.empty():
		_lowercase					:       Optional[Any]       =		[]
		while not q.empty():
			_lowercase					:       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(__A					)







def 						__UpperCamelCase				(							_lowercase					) ->			None:




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







def 						__UpperCamelCase				(							_lowercase					) ->			None:




	if not isinstance(__A,				__A					) or not node:
		return
	_lowercase					:       list[TreeNode]       =		[]
	_lowercase					:       List[str]       =		node
	while n or stack:
		while n:
			stack.append(__A					)
			_lowercase					:       Optional[Any]       =		n.left
		_lowercase					:       Tuple       =		stack.pop()
		print(n.data,				end=','					)
		_lowercase					:       Union[str, Any]       =		n.right







def 						__UpperCamelCase				(							_lowercase					) ->			None:




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







def 						__UpperCamelCase				(							_lowercase = "",				_lowercase=50,				_lowercase="*"					) ->			str:




	if not s:
		return "\n" + width * char
	_lowercase					:       Optional[int]       =		divmod(width - len(__A					) - 2,				2					)
	return f'''{left * char} {s} {(left + extra) * char}'''


if __name__ == "__main__":
		import doctest

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

		_A				:    Optional[int]     						=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('''*''' * 5_0 + '''\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 						__UpperCamelCase				(							_lowercase					) ->			bool:
	return str(_lowercase					) == str(_lowercase					)[::-1]







def 						__UpperCamelCase				(							_lowercase					) ->			int:
	return int(_lowercase					) + int(str(_lowercase					)[::-1]					)







def 						__UpperCamelCase				(							_lowercase = 1_0000					) ->			int:
	_lowercase					:       List[str]       =		[]
	for num in range(1,				_lowercase					):
		_lowercase					:       Tuple       =		0
		_lowercase					:       Tuple       =		num
		while iterations < 50:
			_lowercase					:       Union[str, Any]       =		sum_reverse(_lowercase					)
			iterations += 1
			if is_palindrome(_lowercase					):
				break
		else:
			lychrel_nums.append(_lowercase					)
	return len(_lowercase					)


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