



import copy
import re


class 				_a						:





							'''simple docstring'''

							A				:str =       "hp"
							A				:Optional[Any] =       {}
							A				:Optional[Any] =       None



							@classmethod
							def 		_A	(							cls ,					__UpperCAmelCase ,					__UpperCAmelCase				):







											"""simple docstring"""



											a__	:							List[str]      						= prefix
											a__	:							str      						= defaults
											cls.build_naming_info()



							@staticmethod
							def 		_A	(							__UpperCAmelCase ,					__UpperCAmelCase				):







											"""simple docstring"""



											if len(__UpperCAmelCase				) == 0:
															return ""
											a__	:							Optional[Any]      						= None
											if any(char.isdigit() for char in word				):
															raise Exception(f'Parameters should not contain numbers: \'{word}\' contains a number'				)
											if word in info["short_word"]:
															return info["short_word"][word]
											for prefix_len in range(1 ,					len(__UpperCAmelCase				) + 1				):
															a__	:							Optional[Any]      						= word[:prefix_len]
															if prefix in info["reverse_short_word"]:
																			continue
															else:
																			a__	:							List[str]      						= prefix
																			break

											if short_word is None:
															# Paranoid fallback
															def int_to_alphabetic(__UpperCAmelCase				):
																			a__	:							Optional[Any]      						= ""
																			while integer != 0:
																							a__	:							Dict      						= chr(ord("A"				) + integer % 10				) + s
																							integer //= 10
																			return s

															a__	:							Any      						= 0
															while True:
																			a__	:							Union[str, Any]      						= word + "#" + int_to_alphabetic(__UpperCAmelCase				)
																			if sword in info["reverse_short_word"]:
																							continue
																			else:
																							a__	:							Tuple      						= sword
																							break

											a__	:							Optional[Any]      						= short_word
											a__	:							Optional[Any]      						= word
											return short_word



							@staticmethod
							def 		_A	(							__UpperCAmelCase ,					__UpperCAmelCase				):







											"""simple docstring"""



											a__	:							Optional[int]      						= param_name.split("_"				)

											a__	:							int      						= [TrialShortNamer.shortname_for_word(__UpperCAmelCase ,					__UpperCAmelCase				) for word in words]

											# We try to create a separatorless short name, but if there is a collision we have to fallback
											# to a separated short name
											a__	:							Any      						= ["", "_"]

											for separator in separators:
															a__	:							str      						= separator.join(__UpperCAmelCase				)
															if shortname not in info["reverse_short_param"]:
																			a__	:							Tuple      						= shortname
																			a__	:							str      						= param_name
																			return shortname

											return param_name



							@staticmethod
							def 		_A	(							__UpperCAmelCase ,					__UpperCAmelCase				):







											"""simple docstring"""



											a__	:							Any      						= TrialShortNamer.shortname_for_key(__UpperCAmelCase ,					__UpperCAmelCase				)
											a__	:							Dict      						= short_name
											a__	:							List[Any]      						= param_name



							@classmethod
							def 		_A	(							cls				):







											"""simple docstring"""



											if cls.NAMING_INFO is not None:
															return

											a__	:							Union[str, Any]      						= {
											    "short_word": {},
											    "reverse_short_word": {},
											    "short_param": {},
											    "reverse_short_param": {},
											}

											a__	:							str      						= list(cls.DEFAULTS.keys()				)

											for k in field_keys:
															cls.add_new_param_name(__UpperCAmelCase ,					__UpperCAmelCase				)

											a__	:							str      						= info



							@classmethod
							def 		_A	(							cls ,					__UpperCAmelCase				):







											"""simple docstring"""



											cls.build_naming_info()
											assert cls.PREFIX is not None
											a__	:							int      						= [copy.copy(cls.PREFIX				)]

											for k, v in params.items():
															if k not in cls.DEFAULTS:
																			raise Exception(f'You should provide a default value for the param name {k} with value {v}'				)
															if v == cls.DEFAULTS[k]:
																			# The default value is not added to the name
																			continue

															a__	:							Tuple      						= cls.NAMING_INFO["short_param"][k]

															if isinstance(__UpperCAmelCase ,					__UpperCAmelCase				):
																			a__	:							Union[str, Any]      						= 1 if v else 0

															a__	:							int      						= "" if isinstance(__UpperCAmelCase ,					(int, float)				) else "-"
															a__	:							Union[str, Any]      						= f'{key}{sep}{v}'
															name.append(__UpperCAmelCase				)

											return "_".join(__UpperCAmelCase				)




							@classmethod
							def 		_A	(							cls ,					__UpperCAmelCase				):







											"""simple docstring"""



											a__	:							int      						= repr[len(cls.PREFIX				) + 1 :]
											if repr == "":
															a__	:							Any      						= []
											else:
															a__	:							Dict      						= repr.split("_"				)

											a__	:							Optional[int]      						= {}

											for value in values:
															if "-" in value:
																			a__						,   a__	:							Tuple      						= value.split("-"				)
															else:
																			a__	:							Tuple      						= re.sub("[0-9.]" ,					"" ,					__UpperCAmelCase				)
																			a__	:							Union[str, Any]      						= float(re.sub("[^0-9.]" ,					"" ,					__UpperCAmelCase				)				)

															a__	:							int      						= cls.NAMING_INFO["reverse_short_param"][p_k]

															a__	:							Any      						= p_v

											for k in cls.DEFAULTS:
															if k not in parameters:
																			a__	:							List[Any]      						= cls.DEFAULTS[k]

											return parameters







from __future__ import annotations

import queue


class 				_a						:





							'''simple docstring'''

							def __init__(							self ,					__UpperCAmelCase				):







											"""simple docstring"""



											a__	:							Union[str, Any]      						= data
											a__	:							Tuple      						= None
											a__	:							Optional[Any]      						= None






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






def     SCREAMING_SNAKE_CASE(      __UpperCamelCase )	->						None:
				if not isinstance(__UpperCamelCase	,				__UpperCamelCase ) or not node:
								return
				print(node.data	,				end="," )
				pre_order(node.left )
				pre_order(node.right )






def     SCREAMING_SNAKE_CASE(      __UpperCamelCase )	->						None:
				if not isinstance(__UpperCamelCase	,				__UpperCamelCase ) or not node:
								return
				in_order(node.left )
				print(node.data	,				end="," )
				in_order(node.right )






def     SCREAMING_SNAKE_CASE(      __UpperCamelCase )	->						None:
				if not isinstance(__UpperCamelCase	,				__UpperCamelCase ) or not node:
								return
				post_order(node.left )
				post_order(node.right )
				print(node.data	,				end="," )






def     SCREAMING_SNAKE_CASE(      __UpperCamelCase )	->						None:
				if not isinstance(__UpperCamelCase	,				__UpperCamelCase ) or not node:
								return
				a__	:							queue.Queue      						= queue.Queue()
				q.put(__UpperCamelCase )
				while not q.empty():
								a__	:							Tuple      						= 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     SCREAMING_SNAKE_CASE(      __UpperCamelCase )	->						None:
				if not isinstance(__UpperCamelCase	,				__UpperCamelCase ) or not node:
								return
				a__	:							queue.Queue      						= queue.Queue()
				q.put(__UpperCamelCase )
				while not q.empty():
								a__	:							int      						= []
								while not q.empty():
												a__	:							Union[str, Any]      						= 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(__UpperCamelCase )






def     SCREAMING_SNAKE_CASE(      __UpperCamelCase )	->						None:
				if not isinstance(__UpperCamelCase	,				__UpperCamelCase ) or not node:
								return
				a__	:							list[TreeNode]      						= []
				a__	:							Optional[int]      						= node
				while n or stack:
								while n:  # start from root node, find its left child
												print(n.data	,				end="," )
												stack.append(__UpperCamelCase )
												a__	:							int      						= n.left
								# end of while means current node doesn't have left child
								a__	:							Dict      						= stack.pop()
								# start to traverse its right child
								a__	:							str      						= n.right






def     SCREAMING_SNAKE_CASE(      __UpperCamelCase )	->						None:
				if not isinstance(__UpperCamelCase	,				__UpperCamelCase ) or not node:
								return
				a__	:							list[TreeNode]      						= []
				a__	:							Dict      						= node
				while n or stack:
								while n:
												stack.append(__UpperCamelCase )
												a__	:							List[Any]      						= n.left
								a__	:							str      						= stack.pop()
								print(n.data	,				end="," )
								a__	:							Any      						= n.right






def     SCREAMING_SNAKE_CASE(      __UpperCamelCase )	->						None:
				if not isinstance(__UpperCamelCase	,				__UpperCamelCase ) or not node:
								return
				a__						,   a__	:							List[str]      						= [], []
				a__	:							List[Any]      						= node
				stacka.append(__UpperCamelCase )
				while stacka:  # to find the reversed order of post order, store it in stack2
								a__	:							Optional[Any]      						= stacka.pop()
								if n.left:
												stacka.append(n.left )
								if n.right:
												stacka.append(n.right )
								stacka.append(__UpperCamelCase )
				while stacka:  # pop up from stack2 will be the post order
								print(stacka.pop().data	,				end="," )






def     SCREAMING_SNAKE_CASE(      __UpperCamelCase = ""	,				__UpperCamelCase=50	,				__UpperCamelCase="*" )	->						str:
				if not s:
								return "\n" + width * char
				a__						,   a__	:							int      						= divmod(width - len(__UpperCamelCase ) - 2	,				2 )
				return F'{left * char} {s} {(left + extra) * char}'


if __name__ == "__main__":
						import doctest

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

						lowerCamelCase		       =      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())


