


from collections.abc import Iterable
from typing import Any




class       lowercase_					:





				def __init__(				self       ,  lowercase_ = None)  -> Dict:
											a__      =value
											a__      =None  # Added in order to delete a node easier
											a__      =None
											a__      =None





				def __repr__(				self)  -> str:
											from pprint import pformat

											if self.left is None and self.right is None:
																		return str(self.value)
											return pformat({F"""{self.value}""": (self.left, self.right)}       ,  indent=1)







class       lowercase_					:





				def __init__(				self       ,  lowercase_ = None)  -> int:
											a__      =root





				def __str__(				self)  -> str:
											return str(self.root)





				def 						__UpperCamelCase    (				self       ,  lowercase_       ,  lowercase_)  -> None:
											if new_children is not None:  # reset its kids
																		a__      =node.parent
											if node.parent is not None:  # reset its parent
																		if self.is_right(lowercase_):  # If it is the right children
																									a__      =new_children
																		else:
																									a__      =new_children
											else:
																		a__      =new_children





				def 						__UpperCamelCase    (				self       ,  lowercase_)  -> bool:
											if node.parent and node.parent.right:
																		return node == node.parent.right
											return False





				def 						__UpperCamelCase    (				self)  -> bool:
											return self.root is None





				def 						__UpperCamelCase    (				self       ,  lowercase_)  -> None:
											a__      =Node(lowercase_)  # create a new Node
											if self.empty():  # if Tree is empty
																		a__      =new_node  # set its root
											else:  # Tree is not empty
																		a__      =self.root  # from root
																		if parent_node is None:
																									return
																		while True:  # While we don't get to a leaf
																									if value < parent_node.value:  # We go left
																																if parent_node.left is None:
																																							a__      =new_node  # We insert the new node in a leaf
																																							break
																																else:
																																							a__      =parent_node.left
																									else:
																																if parent_node.right is None:
																																							a__      =new_node
																																							break
																																else:
																																							a__      =parent_node.right
																		a__      =parent_node





				def 						__UpperCamelCase    (				self       ,  *lowercase_)  -> None:
											for value in values:
																		self.__insert(lowercase_)





				def 						__UpperCamelCase    (				self       ,  lowercase_)  -> Node | None:
											if self.empty():
																		raise IndexError('Warning: Tree is empty! please use another.')
											else:
																		a__      =self.root
																		# use lazy evaluation here to avoid NoneType Attribute error
																		while node is not None and node.value is not value:
																									a__      =node.left if value < node.value else node.right
																		return node





				def 						__UpperCamelCase    (				self       ,  lowercase_ = None)  -> Node | None:
											if node is None:
																		if self.root is None:
																									return None
																		a__      =self.root

											if not self.empty():
																		while node.right is not None:
																									a__      =node.right
											return node





				def 						__UpperCamelCase    (				self       ,  lowercase_ = None)  -> Node | None:
											if node is None:
																		a__      =self.root
											if self.root is None:
																		return None
											if not self.empty():
																		a__      =self.root
																		while node.left is not None:
																									a__      =node.left
											return node





				def 						__UpperCamelCase    (				self       ,  lowercase_)  -> None:
											a__      =self.search(lowercase_)  # Look for the node with that label
											if node is not None:
																		if node.left is None and node.right is None:  # If it has no children
																									self.__reassign_nodes(lowercase_       ,  lowercase_)
																		elif node.left is None:  # Has only right children
																									self.__reassign_nodes(lowercase_       ,  node.right)
																		elif node.right is None:  # Has only left children
																									self.__reassign_nodes(lowercase_       ,  node.left)
																		else:
																									a__      =self.get_max(
																									    node.left)  # Gets the max value of the left branch
																									self.remove(tmp_node.value)  # type: ignore
																									a__      =(
																									    tmp_node.value  # type: ignore
																									)  # Assigns the value to the node to delete and keep tree structure





				def 						__UpperCamelCase    (				self       ,  lowercase_)  -> Iterable:
											if node is not None:
																		yield node  # Preorder Traversal
																		yield from self.preorder_traverse(node.left)
																		yield from self.preorder_traverse(node.right)





				def 						__UpperCamelCase    (				self       ,  lowercase_=None)  -> Any:
											if traversal_function is None:
																		return self.preorder_traverse(self.root)
											else:
																		return traversal_function(self.root)





				def 						__UpperCamelCase    (				self       ,  lowercase_       ,  lowercase_)  -> None:
											if node:
																		self.inorder(lowercase_       ,  node.left)
																		arr.append(node.value)
																		self.inorder(lowercase_       ,  node.right)





				def 						__UpperCamelCase    (				self       ,  lowercase_       ,  lowercase_)  -> int:
											a__      =[]
											self.inorder(lowercase_       ,  lowercase_)  # append all values to list using inorder traversal
											return arr[k - 1]







def   _lowercase(					__a				:						Node | None     ):
							a__      =[]
							if curr_node is not None:
														a__      =postorder(curr_node.left     ) + postorder(curr_node.right     ) + [curr_node]
							return node_list






def   _lowercase(					):
							a__      =(8, 3, 6, 1, 10, 14, 13, 4, 7)
							a__      =BinarySearchTree()
							for i in testlist:
														t.insert(__a     )

							# Prints all the elements of the list in order traversal
							print(__a     )

							if t.search(6     ) is not None:
														print('The value 6 exists'     )
							else:
														print('The value 6 doesn\'t exist'     )

							if t.search(-1     ) is not None:
														print('The value -1 exists'     )
							else:
														print('The value -1 doesn\'t exist'     )

							if not t.empty():
														print('Max Value: '    ,     t.get_max().value     )  # type: ignore
														print('Min Value: '    ,     t.get_min().value     )  # type: ignore

							for i in testlist:
														t.remove(__a     )
														print(__a     )


if __name__ == "__main__":
	import doctest

	doctest.testmod(verbose=True)







'''simple docstring'''


def 						lowerCamelCase__   (				a							):
						__snake_case						 =   [0] * len(a							)
						__snake_case						 =   []
						__snake_case						 =   []
						__snake_case						 =   0

						for values in graph.values():
												for i in values:
																		indegree[i] += 1

						for i in range(len(a							)							):
												if indegree[i] == 0:
																		queue.append(a							)

						while queue:
												__snake_case						 =   queue.pop(0							)
												cnt += 1
												topo.append(a							)
												for x in graph[vertex]:
																		indegree[x] -= 1
																		if indegree[x] == 0:
																								queue.append(a							)

						if cnt != len(a							):
												print('Cycle exists'							)
						else:
												print(a							)


# Adjacency List of Graph
_lowercase  =			{0: [1, 2], 1: [3], 2: [3], 3: [4, 5], 4: [], 5: []}






topological_sort(graph)

