




"""simple docstring"""






from __future__ import annotations

import queue






class lowerCAmelCase__	:






			'''simple docstring'''



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







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







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







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







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







def      _snake_case			(				lowercase__		):
				if not isinstance(lowerCamelCase_							,    lowerCamelCase_		) or not node:
								return
				_lowerCamelCase     :			Optional[Any]    =    queue.Queue()
				q.put(lowerCamelCase_		)
				while not q.empty():
								_lowerCamelCase     :			str    =    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(lowerCamelCase_							,    lowerCamelCase_		) or not node:
								return
				_lowerCamelCase     :			str    =    queue.Queue()
				q.put(lowerCamelCase_		)
				while not q.empty():
								_lowerCamelCase     :			Dict    =    []
								while not q.empty():
												_lowerCamelCase     :			List[str]    =    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(lowerCamelCase_		)







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







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







def      _snake_case			(				lowercase__		):
				if not isinstance(lowerCamelCase_							,    lowerCamelCase_		) or not node:
								return
				_lowerCamelCase, _lowerCamelCase     :			List[str]    =    [], []
				_lowerCamelCase     :			Union[str, Any]    =    node
				stacka.append(lowerCamelCase_		)
				while stacka:  # to find the reversed order of post order, store it in stack2
								_lowerCamelCase     :			Tuple    =    stacka.pop()
								if n.left:
												stacka.append(n.left		)
								if n.right:
												stacka.append(n.right		)
								stacka.append(lowerCamelCase_		)
				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     :			Dict    =    divmod(width - len(lowerCamelCase_		) - 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())







def   a			(						lowerCamelCase_				):






				'''simple docstring'''
				lowercase__    =			[1]

				lowercase__ ,						lowercase__ ,						lowercase__    =			0, 0, 0
				lowercase__    =			ugly_nums[ia] * 2
				lowercase__    =			ugly_nums[ia] * 3
				lowercase__    =			ugly_nums[ia] * 5

				for _ in range(1		,   lowerCamelCase_				):
								lowercase__    =			min(lowerCamelCase_		,   lowerCamelCase_		,   lowerCamelCase_				)
								ugly_nums.append(lowerCamelCase_				)
								if next_num == next_a:
												ia += 1
												lowercase__    =			ugly_nums[ia] * 2
								if next_num == next_a:
												ia += 1
												lowercase__    =			ugly_nums[ia] * 3
								if next_num == next_a:
												ia += 1
												lowercase__    =			ugly_nums[ia] * 5
				return ugly_nums[-1]


if __name__ == "__main__":
							from doctest import testmod

							testmod(verbose=True)
							print(F"{ugly_numbers(2_00) = }")




