

from collections.abc import Iterable
from typing import Any



class _UpperCamelCase							:
			'''simple docstring'''







			def __init__(			self							: Tuple      ,      a							: int | None = None	)							->       List[Any]:

				"""simple docstring"""

				SCREAMING_SNAKE_CASE   :      Any				     =       value
				SCREAMING_SNAKE_CASE   :      Node | None				     =       None  # Added in order to delete a node easier
				SCREAMING_SNAKE_CASE   :      Node | None				     =       None
				SCREAMING_SNAKE_CASE   :      Node | None				     =       None






			def __repr__(			self							: Optional[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 _UpperCamelCase							:
			'''simple docstring'''







			def __init__(			self							: Optional[int]      ,      a							: Node | None = None	)							->       Union[str, Any]:

				"""simple docstring"""

				SCREAMING_SNAKE_CASE   :      List[str]				     =       root
			def __str__(			self							: Any	)							->       str:

				"""simple docstring"""

				return str(self.root	)
			def 							__UpperCamelCase (			self							: List[str]      ,      a							: Node      ,      a							: Node | None	)							->       None:

				"""simple docstring"""

				if new_children is not None:  # reset its kids
					SCREAMING_SNAKE_CASE   :      Dict				     =       node.parent
				if node.parent is not None:  # reset its parent
					if self.is_right(a	):  # If it is the right children
						SCREAMING_SNAKE_CASE   :      Dict				     =       new_children
					else:
						SCREAMING_SNAKE_CASE   :      Any				     =       new_children
				else:
					SCREAMING_SNAKE_CASE   :      List[Any]				     =       new_children
			def 							__UpperCamelCase (			self							: Optional[Any]      ,      a							: Node	)							->       bool:

				"""simple docstring"""

				if node.parent and node.parent.right:
					return node == node.parent.right
				return False
			def 							__UpperCamelCase (			self							: Union[str, Any]	)							->       bool:

				"""simple docstring"""

				return self.root is None
			def 							__UpperCamelCase (			self							: List[str]      ,      a							: int	)							->       None:

				"""simple docstring"""

				SCREAMING_SNAKE_CASE   :      Dict				     =       Node(a	)  # create a new Node
				if self.empty():  # if Tree is empty
					SCREAMING_SNAKE_CASE   :      Tuple				     =       new_node  # set its root
				else:  # Tree is not empty
					SCREAMING_SNAKE_CASE   :      Optional[int]				     =       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:
								SCREAMING_SNAKE_CASE   :      Optional[Any]				     =       new_node  # We insert the new node in a leaf
								break
							else:
								SCREAMING_SNAKE_CASE   :      Any				     =       parent_node.left
						else:
							if parent_node.right is None:
								SCREAMING_SNAKE_CASE   :      str				     =       new_node
								break
							else:
								SCREAMING_SNAKE_CASE   :      Optional[int]				     =       parent_node.right
					SCREAMING_SNAKE_CASE   :      int				     =       parent_node
			def 							__UpperCamelCase (			self							: Any      ,      *a							: str	)							->       None:

				"""simple docstring"""

				for value in values:
					self.__insert(a	)
			def 							__UpperCamelCase (			self							: Tuple      ,      a							: List[Any]	)							->       Node | None:

				"""simple docstring"""

				if self.empty():
					raise IndexError("Warning: Tree is empty! please use another."	)
				else:
					SCREAMING_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:
						SCREAMING_SNAKE_CASE   :      Optional[int]				     =       node.left if value < node.value else node.right
					return node
			def 							__UpperCamelCase (			self							: int      ,      a							: Node | None = None	)							->       Node | None:

				"""simple docstring"""

				if node is None:
					if self.root is None:
						return None
					SCREAMING_SNAKE_CASE   :      Tuple				     =       self.root

				if not self.empty():
					while node.right is not None:
						SCREAMING_SNAKE_CASE   :      Union[str, Any]				     =       node.right
				return node
			def 							__UpperCamelCase (			self							: int      ,      a							: Node | None = None	)							->       Node | None:

				"""simple docstring"""

				if node is None:
					SCREAMING_SNAKE_CASE   :      List[Any]				     =       self.root
				if self.root is None:
					return None
				if not self.empty():
					SCREAMING_SNAKE_CASE   :      Optional[Any]				     =       self.root
					while node.left is not None:
						SCREAMING_SNAKE_CASE   :      str				     =       node.left
				return node
			def 							__UpperCamelCase (			self							: Dict      ,      a							: int	)							->       None:

				"""simple docstring"""

				SCREAMING_SNAKE_CASE   :      Dict				     =       self.search(a	)  # 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(a      ,      a	)
					elif node.left is None:  # Has only right children
						self.__reassign_nodes(a      ,      node.right	)
					elif node.right is None:  # Has only left children
						self.__reassign_nodes(a      ,      node.left	)
					else:
						SCREAMING_SNAKE_CASE   :      Tuple				     =       self.get_max(
						    node.left	)  # Gets the max value of the left branch
						self.remove(tmp_node.value	)  # type: ignore
						SCREAMING_SNAKE_CASE   :      str				     =       (
						    tmp_node.value  # type: ignore
						)  # Assigns the value to the node to delete and keep tree structure
			def 							__UpperCamelCase (			self							: List[Any]      ,      a							: 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 							__UpperCamelCase (			self							: str      ,      a							: Union[str, Any]=None	)							->       Any:

				"""simple docstring"""

				if traversal_function is None:
					return self.preorder_traverse(self.root	)
				else:
					return traversal_function(self.root	)
			def 							__UpperCamelCase (			self							: Optional[Any]      ,      a							: list      ,      a							: Node | None	)							->       None:

				"""simple docstring"""

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






			def 							__UpperCamelCase (			self							: int      ,      a							: int      ,      a							: Node	)							->       int:

				"""simple docstring"""

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

def  lowerCamelCase__ (					_a):
	SCREAMING_SNAKE_CASE   :      int				     =       []
	if curr_node is not None:
		SCREAMING_SNAKE_CASE   :      List[str]				     =       postorder(curr_node.left) + postorder(curr_node.right) + [curr_node]
	return node_list

def  lowerCamelCase__ (					):
	SCREAMING_SNAKE_CASE   :      int				     =       (8, 3, 6, 1, 10, 14, 13, 4, 7)
	SCREAMING_SNAKE_CASE   :      Union[str, Any]				     =       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)


import numpy as np






class _UpperCamelCase							:
			'''simple docstring'''







			def __init__(			self							: Dict	)							->       str:

				"""simple docstring"""

				SCREAMING_SNAKE_CASE   :      List[str]				     =       (0, 0)
				SCREAMING_SNAKE_CASE   :      Any				     =       None
				SCREAMING_SNAKE_CASE   :      Any				     =       0
				SCREAMING_SNAKE_CASE   :      List[str]				     =       0
				SCREAMING_SNAKE_CASE   :      Any				     =       0
			def __eq__(			self							: List[str]      ,      a							: Any	)							->       Tuple:

				"""simple docstring"""

				return self.position == cell.position






			def 							__UpperCamelCase (			self							: Optional[Any]	)							->       str:

				"""simple docstring"""

				print(self.position	)






class _UpperCamelCase							:
			'''simple docstring'''







			def __init__(			self							: List[Any]      ,      a							: List[Any]=(5, 5)	)							->       Optional[int]:

				"""simple docstring"""

				SCREAMING_SNAKE_CASE   :      Union[str, Any]				     =       np.zeros(a	)
				SCREAMING_SNAKE_CASE   :      str				     =       world_size[0]
				SCREAMING_SNAKE_CASE   :      int				     =       world_size[1]
			def 							__UpperCamelCase (			self							: Union[str, Any]	)							->       Optional[int]:

				"""simple docstring"""

				print(self.w	)






			def 							__UpperCamelCase (			self							: Dict      ,      a							: Dict	)							->       Tuple:

				"""simple docstring"""

				SCREAMING_SNAKE_CASE   :      Optional[Any]				     =       [
				    (-1, -1),
				    (-1, 0),
				    (-1, 1),
				    (0, -1),
				    (0, 1),
				    (1, -1),
				    (1, 0),
				    (1, 1),
				]
				SCREAMING_SNAKE_CASE   :      Union[str, Any]				     =       cell.position[0]
				SCREAMING_SNAKE_CASE   :      Union[str, Any]				     =       cell.position[1]
				SCREAMING_SNAKE_CASE   :      Optional[int]				     =       []
				for n in neughbour_cord:
					SCREAMING_SNAKE_CASE   :      Optional[Any]				     =       current_x + n[0]
					SCREAMING_SNAKE_CASE   :      int				     =       current_y + n[1]
					if 0 <= x < self.world_x_limit and 0 <= y < self.world_y_limit:
						SCREAMING_SNAKE_CASE   :      int				     =       Cell()
						SCREAMING_SNAKE_CASE   :      str				     =       (x, y)
						SCREAMING_SNAKE_CASE   :      Any				     =       cell
						neighbours.append(a	)
				return neighbours

def  lowerCamelCase__ (					_a							,			_a							,			_a):
	SCREAMING_SNAKE_CASE   :      Tuple				     =       []
	SCREAMING_SNAKE_CASE   :      Tuple				     =       []
	_open.append(_a)

	while _open:
		SCREAMING_SNAKE_CASE   :      Union[str, Any]				     =       np.argmin([n.f for n in _open])
		SCREAMING_SNAKE_CASE   :      List[str]				     =       _open[min_f]
		_closed.append(_open.pop(_a))
		if current == goal:
			break
		for n in world.get_neigbours(_a):
			for c in _closed:
				if c == n:
					continue
			SCREAMING_SNAKE_CASE   :      Tuple				     =       current.g + 1
			SCREAMING_SNAKE_CASE     ,SCREAMING_SNAKE_CASE   :      List[str]				     =       n.position
			SCREAMING_SNAKE_CASE     ,SCREAMING_SNAKE_CASE   :      str				     =       goal.position
			SCREAMING_SNAKE_CASE   :      Any				     =       (ya - ya) ** 2 + (xa - xa) ** 2
			SCREAMING_SNAKE_CASE   :      List[str]				     =       n.h + n.g

			for c in _open:
				if c == n and c.f < n.f:
					continue
			_open.append(_a)
	SCREAMING_SNAKE_CASE   :      Tuple				     =       []
	while current.parent is not None:
		path.append(current.position)
		SCREAMING_SNAKE_CASE   :      Union[str, Any]				     =       current.parent
	path.append(current.position)
	return path[::-1]


if __name__ == "__main__":
			a_						     =    Gridworld()
			# Start position and goal
			a_						     =    Cell()
			a_						     =    (0, 0)
			a_						     =    Cell()
			a_						     =    (4, 4)
			print(F'''path from {start.position} to {goal.position}''')
			a_						     =    astar(world, start, goal)
			#   Just for visual reasons.
			for i in s:
						a_						     =    1
			print(world.w)