



"""simple docstring"""

from __future__ import annotations

import queue







class    __lowercase     :







						"""simple docstring"""







						def __init__(self   ,		lowercase__       ):
											snake_case_					:		int 					=					data
											snake_case_					:		Tuple 					=					None
											snake_case_					:		Dict 					=					None







def 							SCREAMING_SNAKE_CASE__      (		):



					"""simple docstring"""





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







def 							SCREAMING_SNAKE_CASE__      (		SCREAMING_SNAKE_CASE__ :  TreeNode			):



					"""simple docstring"""





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







def 							SCREAMING_SNAKE_CASE__      (		SCREAMING_SNAKE_CASE__ :  TreeNode			):



					"""simple docstring"""





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







def 							SCREAMING_SNAKE_CASE__      (		SCREAMING_SNAKE_CASE__ :  TreeNode			):



					"""simple docstring"""





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







def 							SCREAMING_SNAKE_CASE__      (		SCREAMING_SNAKE_CASE__ :  TreeNode			):



					"""simple docstring"""





					if not isinstance(SCREAMING_SNAKE_CASE__				,    SCREAMING_SNAKE_CASE__			) or not node:
										return
					snake_case_					:		queue.Queue 					=					queue.Queue()
					q.put(SCREAMING_SNAKE_CASE__			)
					while not q.empty():
										snake_case_					:		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 							SCREAMING_SNAKE_CASE__      (		SCREAMING_SNAKE_CASE__ :  TreeNode			):



					"""simple docstring"""





					if not isinstance(SCREAMING_SNAKE_CASE__				,    SCREAMING_SNAKE_CASE__			) or not node:
										return
					snake_case_					:		queue.Queue 					=					queue.Queue()
					q.put(SCREAMING_SNAKE_CASE__			)
					while not q.empty():
										snake_case_					:		Dict 					=					[]
										while not q.empty():
															snake_case_					:		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(SCREAMING_SNAKE_CASE__			)







def 							SCREAMING_SNAKE_CASE__      (		SCREAMING_SNAKE_CASE__ :  TreeNode			):



					"""simple docstring"""





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







def 							SCREAMING_SNAKE_CASE__      (		SCREAMING_SNAKE_CASE__ :  TreeNode			):



					"""simple docstring"""





					if not isinstance(SCREAMING_SNAKE_CASE__				,    SCREAMING_SNAKE_CASE__			) or not node:
										return
					snake_case_					:		list[TreeNode] 					=					[]
					snake_case_					:		List[str] 					=					node
					while n or stack:
										while n:
															stack.append(SCREAMING_SNAKE_CASE__			)
															snake_case_					:		Dict 					=					n.left
										snake_case_					:		Union[str, Any] 					=					stack.pop()
										print(n.data				,    end=""","""			)
										snake_case_					:		Tuple 					=					n.right







def 							SCREAMING_SNAKE_CASE__      (		SCREAMING_SNAKE_CASE__ :  TreeNode			):



					"""simple docstring"""





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







def 							SCREAMING_SNAKE_CASE__      (		SCREAMING_SNAKE_CASE__ :  str = ""				,    SCREAMING_SNAKE_CASE__ :  str=5_0				,    SCREAMING_SNAKE_CASE__ :  Dict="*"			):



					"""simple docstring"""





					if not s:
										return "\n" + width * char
					snake_case_					:		List[str] 					=					divmod(width - len(SCREAMING_SNAKE_CASE__			) - 2				,    2			)
					return f'{left * char} {s} {(left + extra) * char}'


if __name__ == "__main__":
		import doctest

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

		a_			   =					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"""

import random







def 							SCREAMING_SNAKE_CASE__      (		SCREAMING_SNAKE_CASE__ :  int				,    SCREAMING_SNAKE_CASE__ :  float				,    SCREAMING_SNAKE_CASE__ :  bool = False			):



					"""simple docstring"""





					snake_case_					:		dict 					=					{i: [] for i in range(SCREAMING_SNAKE_CASE__			)}

					# if probability is greater or equal than 1, then generate a complete graph
					if probability >= 1:
										return complete_graph(SCREAMING_SNAKE_CASE__			)
					# if probability is lower or equal than 0, then return a graph without edges
					if probability <= 0:
										return graph

					# for each couple of nodes, add an edge from u to v
					# if the number randomly generated is greater than probability probability
					for i in range(SCREAMING_SNAKE_CASE__			):
										for j in range(i + 1				,    SCREAMING_SNAKE_CASE__			):
															if random.random() < probability:
																				graph[i].append(SCREAMING_SNAKE_CASE__			)
																				if not directed:
																									# if the graph is undirected, add an edge in from j to i, either
																									graph[j].append(SCREAMING_SNAKE_CASE__			)
					return graph







def 							SCREAMING_SNAKE_CASE__      (		SCREAMING_SNAKE_CASE__ :  int			):



					"""simple docstring"""





					return {
					    i: [j for j in range(SCREAMING_SNAKE_CASE__			) if i != j] for i in range(SCREAMING_SNAKE_CASE__			)
					}


if __name__ == "__main__":
			import doctest

			doctest.testmod()




