A linked list is one of the most common data structures used in computer science. It is also one of the simplest ones too, and is as well as fundamental to higher level structures like stacks, circular buffers, and queues. Show
Generally speaking, a list is a collection of single data elements that are connected via references. C programmers know this as pointers. For example, a data element can consist of address data, geographical data, geometric data, routing information, or transaction details. Usually, each element of the linked list has the same data type that is specific to the list. A single list element is called a node. The nodes are not like arrays which are stored sequentially in memory. Instead, it is likely to find them at different memory segments, which you can find by following the pointers from one node to the next. It is common to mark the end of the list with a NIL element, represented by the Python equivalent Figure 1: Single-linked list There exist two kinds of lists - single and . A node in a single-linked list only points to the next element in the list, whereas a node in a double-linked list points to the previous node, too. The data structure occupies more space because you will need an additional variable to store the further reference. Figure 2: Double-linked list A single-linked list can be traversed from head to tail whereas traversing backwards is not as easy as that. In contrast, a double-linked list allows traversing the nodes in both directions at the same cost, no matter which node you start with. Also, adding and deleting of nodes as well as splitting single-linked lists is done in not more than two steps. In a double-linked list four pointers have to be changed. The Python language does not contain a pre-defined datatype for linked lists. To cope with this situation we either have to create our own data type, or have to make use of additional Python modules that provide an implementation of such a data type. In this article we'll go through the steps to create our own linked list data structure. First we create a corresponding data structure for the node. Second, you will learn how to implement and use both a single-linked list, and finally a double-linked list. Step 1: Node as a Data StructureTo have a data structure we can work with, we define a node. A node is implemented as a class named
These methods ensure that we can initialize a node properly with our data ( 4), and cover both the data extraction and storage (via the 1 property) as well getting the reference to the connected node (via the 2 property). The method 3 allows us to compare the node value with the value of a different node.Listing 1: The ListNode class Creating a node is as simple as that, and instantiates an object of class Listing 2: Instantiation of nodes
Having done that we have available three instances of the Step 2: Creating a Class for a Single-Linked ListAs the second step we define a class named 0 that covers the methods needed to manage our list nodes. It contains these methods:
We will go through each of these methods step by step. The 4 method defines two internal class variables named 8 and 9. They represent the beginning and the end nodes of the list. Initially, both 8 and 9 have the value None as long as the list is empty.Listing 3: The SingleLinkedList class (part one)
Step 3: Adding NodesAdding items to the list is done via 4. This method requires a node as an additional parameter. To make sure it is a proper node (an instance of class ListNode ) the parameter is first verified using the built in Python function 5. If successful, the node will be added at the end of the list. If 6 is not a ListNode , then one is created.In case the list is (still) empty the new node becomes the head of the list. If a node is already in the list, then the value of tail is adjusted accordingly. Listing 4: The SingleLinkedList class (part two)
The 2 method counts the nodes, and returns the length of the list. To get from one node to the next in the list the node property 2 comes into play, and returns the link to the next node. Counting the nodes is done in a while loop as long as we do not reach the end of the list, which is represented by a None link to the next node.Listing 5: The SingleLinkedList class (part three) The method 3 outputs the node values using the node property data . Again, to get from one node to the next the link is used that is provided via next property.Listing 6: The SingleLinkedList class (part four) Based on the class 0 we can create a proper list named 5, and play with its methods as already described above in Listings 3-6. Therefore, we create four list nodes, evaluate them in a 6 loop and output the list content. Listing 7 shows you how to program that, and Listing 8 shows the output.Listing 7: Creation of nodes and list output The output is as follows, and shows how the list grows: Check out our hands-on, practical guide to learning Git, with best-practices, industry-accepted standards, and included cheat sheet. Stop Googling Git commands and actually learn it! Listing 8: Adding nodes to the list
Step 4: Searching the ListSearching the entire list is done using the method 5. It requires an additional parameter for the value to be searched. The head of the list is the starting point.While searching we count the nodes. To indicate a match we use the corresponding node number. The method 5 returns a list of node numbers that represent the matches. As an example, both the first and fourth node contain the value 15. The search for 15 results in a list with two elements: 9.Listing 9: The search method unordered_search() Step 5: Removing an Item from the ListRemoving a node from the list requires adjusting just one reference - the one pointing to the node to be removed must now point to the next one. This reference is kept by the node to be removed, and must be replaced. In the background the Python garbage collector takes care of unreferenced objects, and tidies up. The following method is named 6. As a parameter it refers to the number of the node similar to the value returned by 5.Listing 10: Removing a node by node number Step 6: Creating a Double-Linked ListTo create a double-linked list it feels natural just to extend the 3 has been added to store the reference pointer to the previous node in the list. We'll change our methods to use this property for tracking and traversing nodes as well.Listing 11: Extended list node class Now we are able to define a double-linked list as follows: Listing 12: A DoubleLinkedList class As described earlier, adding nodes requires a bit more action. Listing 13 shows how to implement that: Listing 13: Adding nodes in a double-linked list
Removing an item from the list similar costs have to be taken into account. Listing 14 shows how to do that: Listing 14: Removing an item from a double-linked list Listing 15 shows how to use the class in a Python program. Listing 15: Building a double-linked list As you can see, we can use the class exactly as before when it was just a single-linked list. The only change is the internal data structure. Step 7: Creating Double-Linked Lists with dequeSince other engineers have faced the same issue, we can simplify things for ourselves and use one of the few existing implementations available. In Python, we can use the object from the 4 module. According to the module documentation:
For example, this object contains the following methods:
The underlying data structure of Listing 16: ListNode class with deque (simplified) The definition of nodes does not change, and is similar to Listing 2. With this knowledge in mind we create a list of nodes as follows: Listing 17: Creating a List with deque
Adding an item at the beginning of the list works with the 6 method as Listing 18 shows:Listing 18: Adding an element at the beginning of a list Similarly, 5 adds a node at the end of the list as Listing 19 shows:Listing 19: Adding an element at the end of the list ConclusionLinked lists as data structures are easy to implement, and offer great usage flexibility. It is done with a few lines of code. As an improvement you could add a node counter - a class variable that simply holds the number of nodes in the list. This reduces the determination of the list length to a single operation with O(1), and you do not have to traverse the entire list. For further reading and alternative implementations you may have a look here: AcknowledgementsThe author would like to thank Gerold Rupprecht and Mandy Neumeyer for their support, and comments while preparing this article. Append python buat apa?Append. Salah satu fitur dalam array python yang cukup sering digunakan adalah fungsi append. Fungsi append ini berguna untuk menambahkan nilai array pada urutan terakhir. Fungsi ini sedikit berbeda dengan fungsi insert, dimana fungsi insert bisa menambahkan nilai array pada posisi tertentu.
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