There is a big problem with the append method in the previous section: it has to traverse the entire list to find the insertion point. This may not be a problem when there are just a few items in the list, but wait until you need to add thousands of items. Each append will be slightly slower than the previous one. A O(n) goes to prove how slow our current implementation of the append method will actually be.
To fix this, we will store, not only a reference to the first node in the list, but also a reference to the last node. That way, we can quickly append a new node at the end of the list. The worst case running time of the append operation is now reduced from O(n) to O(1). All we have to do is make sure the previous last node points to the new node, that is about to be appended to the list. Here is our updated code:
class SinglyLinkedList:
def __init__(self):
# ...
self.tail = None
def append(self, data):
...