





'''simple docstring'''






from collections.abc import Iterable
from typing import Any




class  _A :

		def __init__(   self					:   Optional[int]  ,      __magic_name__					:   int | None = None			)					->    Any:


					"""simple docstring"""

					__snake_case					:      str							      =     value
					__snake_case					:      Node | None							      =     None  # Added in order to delete a node easier
					__snake_case					:      Node | None							      =     None
					__snake_case					:      Node | None							      =     None

		def __repr__(   self					:   Any			)					->    str:


					"""simple docstring"""

					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  _A :

		def __init__(   self					:   int  ,      __magic_name__					:   Node | None = None			)					->    str:


					"""simple docstring"""

					__snake_case					:      Tuple							      =     root

		def __str__(   self					:   List[str]			)					->    str:


					"""simple docstring"""

					return str(self.root			)

		def 	lowercase__     (   self					:   Any  ,      __magic_name__					:   Node  ,      __magic_name__					:   Node | None			)					->    None:


					"""simple docstring"""

					if new_children is not None:  # reset its kids
								__snake_case					:      Dict							      =     node.parent
					if node.parent is not None:  # reset its parent
								if self.is_right(__magic_name__			):  # If it is the right children
											__snake_case					:      Any							      =     new_children
								else:
											__snake_case					:      Optional[Any]							      =     new_children
					else:
								__snake_case					:      Dict							      =     new_children

		def 	lowercase__     (   self					:   Optional[Any]  ,      __magic_name__					:   Node			)					->    bool:


					"""simple docstring"""

					if node.parent and node.parent.right:
								return node == node.parent.right
					return False

		def 	lowercase__     (   self					:   Optional[int]			)					->    bool:


					"""simple docstring"""

					return self.root is None

		def 	lowercase__     (   self					:   Dict  ,      __magic_name__					:   Optional[int]			)					->    None:


					"""simple docstring"""

					__snake_case					:      Any							      =     Node(__magic_name__			)  # create a new Node
					if self.empty():  # if Tree is empty
								__snake_case					:      List[Any]							      =     new_node  # set its root
					else:  # Tree is not empty
								__snake_case					:      Union[str, Any]							      =     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:
																	__snake_case					:      Optional[int]							      =     new_node  # We insert the new node in a leaf
																	break
														else:
																	__snake_case					:      Optional[int]							      =     parent_node.left
											else:
														if parent_node.right is None:
																	__snake_case					:      Union[str, Any]							      =     new_node
																	break
														else:
																	__snake_case					:      str							      =     parent_node.right
								__snake_case					:      List[Any]							      =     parent_node

		def 	lowercase__     (   self					:   Dict  ,      *__magic_name__					:   Union[str, Any]			)					->    None:


					"""simple docstring"""

					for value in values:
								self.__insert(__magic_name__			)

		def 	lowercase__     (   self					:   int  ,      __magic_name__					:   Tuple			)					->    Node | None:


					"""simple docstring"""

					if self.empty():
								raise IndexError("""Warning: Tree is empty! please use another."""			)
					else:
								__snake_case					:      str							      =     self.root
								# use lazy evaluation here to avoid NoneType Attribute error
								while node is not None and node.value is not value:
											__snake_case					:      Dict							      =     node.left if value < node.value else node.right
								return node

		def 	lowercase__     (   self					:   Union[str, Any]  ,      __magic_name__					:   Node | None = None			)					->    Node | None:


					"""simple docstring"""

					if node is None:
								if self.root is None:
											return None
								__snake_case					:      List[str]							      =     self.root

					if not self.empty():
								while node.right is not None:
											__snake_case					:      Optional[Any]							      =     node.right
					return node

		def 	lowercase__     (   self					:   Optional[int]  ,      __magic_name__					:   Node | None = None			)					->    Node | None:


					"""simple docstring"""

					if node is None:
								__snake_case					:      List[str]							      =     self.root
					if self.root is None:
								return None
					if not self.empty():
								__snake_case					:      Dict							      =     self.root
								while node.left is not None:
											__snake_case					:      Optional[Any]							      =     node.left
					return node

		def 	lowercase__     (   self					:   str  ,      __magic_name__					:   int			)					->    None:


					"""simple docstring"""

					__snake_case					:      Dict							      =     self.search(__magic_name__			)  # 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(__magic_name__  ,      __magic_name__			)
								elif node.left is None:  # Has only right children
											self.__reassign_nodes(__magic_name__  ,      node.right			)
								elif node.right is None:  # Has only left children
											self.__reassign_nodes(__magic_name__  ,      node.left			)
								else:
											__snake_case					:      Tuple							      =     self.get_max(
											    node.left			)  # Gets the max value of the left branch
											self.remove(tmp_node.value			)  # type: ignore
											__snake_case					:      Any							      =     (
											    tmp_node.value  # type: ignore
											)  # Assigns the value to the node to delete and keep tree structure

		def 	lowercase__     (   self					:   List[Any]  ,      __magic_name__					:   Node | None			)					->    Iterable:


					"""simple docstring"""

					if node is not None:
								yield node  # Preorder Traversal
								yield from self.preorder_traverse(node.left			)
								yield from self.preorder_traverse(node.right			)

		def 	lowercase__     (   self					:   int  ,      __magic_name__					:   Optional[int]=None			)					->    Any:


					"""simple docstring"""

					if traversal_function is None:
								return self.preorder_traverse(self.root			)
					else:
								return traversal_function(self.root			)

		def 	lowercase__     (   self					:   str  ,      __magic_name__					:   list  ,      __magic_name__					:   Node | None			)					->    None:


					"""simple docstring"""

					if node:
								self.inorder(__magic_name__  ,      node.left			)
								arr.append(node.value			)
								self.inorder(__magic_name__  ,      node.right			)

		def 	lowercase__     (   self					:   int  ,      __magic_name__					:   int  ,      __magic_name__					:   Node			)					->    int:


					"""simple docstring"""

					__snake_case					:      list[int]							      =     []
					self.inorder(__magic_name__  ,      __magic_name__			)  # append all values to list using inorder traversal
					return arr[k - 1]







def 					_a						(       _lowerCamelCase ) ->				list[Node]:



			"""simple docstring"""


			__snake_case					:      int							      =     []
			if curr_node is not None:
						__snake_case					:      List[Any]							      =     postorder(curr_node.left ) + postorder(curr_node.right ) + [curr_node]
			return node_list







def 					_a						(       ) ->				None:



			"""simple docstring"""


			__snake_case					:      Optional[Any]							      =     (8, 3, 6, 1, 10, 14, 13, 4, 7)
			__snake_case					:      str							      =     BinarySearchTree()
			for i in testlist:
						t.insert(_lowerCamelCase )

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

			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(_lowerCamelCase )
						print(_lowerCamelCase )


if __name__ == "__main__":
	import doctest

	doctest.testmod(verbose=True)






'''simple docstring'''
from __future__ import annotations

__SCREAMING_SNAKE_CASE					:				Optional[int]									=		list[tuple[int, int]]

__SCREAMING_SNAKE_CASE					:				Union[str, Any]									=		[
    [0, 0, 0, 0, 0, 0, 0],
    [0, 1, 0, 0, 0, 0, 0],  # 0 are free path whereas 1's are obstacles
    [0, 0, 0, 0, 0, 0, 0],
    [0, 0, 1, 0, 0, 0, 0],
    [1, 0, 1, 0, 0, 0, 0],
    [0, 0, 0, 0, 0, 0, 0],
    [0, 0, 0, 0, 1, 0, 0],
]

__SCREAMING_SNAKE_CASE					:				Optional[int]									=		([-1, 0], [0, -1], [1, 0], [0, 1])  # up, left, down, right






class 					__lowerCAmelCase   :

						"""simple docstring"""






						def __init__(  self							:      List[str] ,  lowerCAmelCase							:      int ,  lowerCAmelCase							:      int ,  lowerCAmelCase							:      int ,  lowerCAmelCase							:      int ,  lowerCAmelCase							:      float ,  lowerCAmelCase							:      Node | None ,  ):
													A_			    =		pos_x
													A_			    =		pos_y
													A_			    =		(pos_y, pos_x)
													A_			    =		goal_x
													A_			    =		goal_y
													A_			    =		g_cost
													A_			    =		parent
													A_			    =		self.calculate_heuristic()






						def 				_UpperCAmelCase       (  self							:      Tuple	):
													A_			    =		abs(self.pos_x - self.goal_x	)
													A_			    =		abs(self.pos_y - self.goal_y	)
													return dx + dy






						def __lt__(  self							:      Tuple ,  lowerCAmelCase							:      Any	):
													return self.f_cost < other.f_cost






class 					__lowerCAmelCase   :

						"""simple docstring"""






						def __init__(  self							:      Union[str, Any] ,  lowerCAmelCase							:      tuple[int, int] ,  lowerCAmelCase							:      tuple[int, int]	):
													A_			    =		Node(start[1] ,  start[0] ,  goal[1] ,  goal[0] ,  0 ,  lowerCAmelCase	)
													A_			    =		Node(goal[1] ,  goal[0] ,  goal[1] ,  goal[0] ,  9_99_99 ,  lowerCAmelCase	)

													A_			    =		[self.start]
													A_			    =		[]

													A_			    =		False






						def 				_UpperCAmelCase       (  self							:      str	):
													while self.open_nodes:
																				# Open Nodes are sorted using __lt__
																				self.open_nodes.sort()
																				A_			    =		self.open_nodes.pop(0	)

																				if current_node.pos == self.target.pos:
																											A_			    =		True
																											return self.retrace_path(lowerCAmelCase	)

																				self.closed_nodes.append(lowerCAmelCase	)
																				A_			    =		self.get_successors(lowerCAmelCase	)

																				for child_node in successors:
																											if child_node in self.closed_nodes:
																																		continue

																											if child_node not in self.open_nodes:
																																		self.open_nodes.append(lowerCAmelCase	)
																											else:
																																		# retrieve the best current path
																																		A_			    =		self.open_nodes.pop(self.open_nodes.index(lowerCAmelCase	)	)

																																		if child_node.g_cost < better_node.g_cost:
																																									self.open_nodes.append(lowerCAmelCase	)
																																		else:
																																									self.open_nodes.append(lowerCAmelCase	)

													if not self.reached:
																				return [self.start.pos]
													return None






						def 				_UpperCAmelCase       (  self							:      List[Any] ,  lowerCAmelCase							:      Node	):
													A_			    =		[]
													for action in delta:
																				A_			    =		parent.pos_x + action[1]
																				A_			    =		parent.pos_y + action[0]

																				if not (0 <= pos_x <= len(grid[0]	) - 1 and 0 <= pos_y <= len(lowerCAmelCase	) - 1):
																											continue

																				if grid[pos_y][pos_x] != 0:
																											continue

																				successors.append(
																				    Node(
																				        lowerCAmelCase ,  lowerCAmelCase ,  self.target.pos_y ,  self.target.pos_x ,  parent.g_cost + 1 ,  lowerCAmelCase ,  )	)
													return successors






						def 				_UpperCAmelCase       (  self							:      Tuple ,  lowerCAmelCase							:      Node | None	):
													A_			    =		node
													A_			    =		[]
													while current_node is not None:
																				path.append((current_node.pos_y, current_node.pos_x)	)
																				A_			    =		current_node.parent
													path.reverse()
													return path


if __name__ == "__main__":
							__SCREAMING_SNAKE_CASE					:				List[Any]									=		(0, 0)
							__SCREAMING_SNAKE_CASE					:				Dict									=		(len(grid) - 1, len(grid[0]) - 1)
							for elem in grid:
														print(elem)

							print('''------''')

							__SCREAMING_SNAKE_CASE					:				int									=		GreedyBestFirst(init, goal)
							__SCREAMING_SNAKE_CASE					:				Optional[Any]									=		greedy_bf.search()
							if path:
														for pos_x, pos_y in path:
																					__SCREAMING_SNAKE_CASE					:				List[Any]									=		2

														for elem in grid:
																					print(elem)





