from __future__ import annotations

from typing import Any, Optional

class Node: def __init__(self, value: Any, nxt: LinkedList): self.value = value self.next = nxt

LinkedList = Optional[Node]

def empty_list() -> LinkedList: ...

def add(lst: LinkedList, index: int, value: Any) -> LinkedList: ...

def length(lst: LinkedList) -> int: ...

def get(lst: LinkedList, index: int) -> Any: ...

def setitem(lst: LinkedList, index: int, value: Any) -> LinkedList: ...

def remove(lst: LinkedList, index: int) -> tuple[Any, LinkedList]: ...

In a file named linked_list.py, provide a data definition for a LinkedList, whose Node class's value field can be any value. An empty list should be represented by the Python value None. Be sure to call your node class Node, so that my tests can create objects correctly. Implement the functions listed above. None of the functions should modify the list that you're given. All of the functions should return a new list. Additionally, implement the __eq equanction in your Node class. This will help with testing. Place your test cases in a file named linked_list_tests.py. Include type signatures and a docstring purpose statement as appropriate