This blog teaches you how to use linked lists and stacks in Java, two fundamental data structures that allow dynamic memory allocation and efficient operations.
1. Introduction
In this tutorial, you will learn how to use linked lists and stacks in Java, two fundamental data structures that allow dynamic memory allocation and efficient operations. You will also learn how to implement these data structures using nodes and pointers, and how to apply them to solve some common problems.
Linked lists and stacks are both linear data structures, meaning that they store data in a sequential order. However, they differ in how they store and access the data. Linked lists use nodes that contain the data and a pointer to the next node. Stacks use a last-in, first-out (LIFO) principle, where the last element added to the stack is the first one removed.
Why should you learn about linked lists and stacks? Because they are widely used in many applications, such as:
- Implementing other data structures, such as queues, trees, and graphs.
- Managing function calls and recursion.
- Reversing, sorting, and searching data.
- Evaluating expressions and converting between notations.
- Undoing and redoing operations.
By the end of this tutorial, you will be able to:
- Explain the concepts and properties of linked lists and stacks.
- Create and manipulate linked lists and stacks in Java.
- Solve some common problems using linked lists and stacks.
Are you ready to dive into the world of linked lists and stacks? Let’s get started!
2. What are Linked Lists?
A linked list is a data structure that consists of a sequence of nodes. Each node contains some data and a pointer to the next node in the list. The first node is called the head and the last node is called the tail. The tail node has a null pointer, indicating the end of the list.
Linked lists are different from arrays, which store data in a contiguous block of memory. Arrays have a fixed size and require a large amount of memory allocation at once. Linked lists have a dynamic size and only require memory allocation for each node. This makes linked lists more flexible and efficient for storing and manipulating data that changes frequently.
However, linked lists also have some disadvantages compared to arrays. Arrays allow random access to any element by using an index, while linked lists only allow sequential access by traversing the nodes from the head. This means that linked lists have a higher time complexity for accessing, searching, and sorting data. Linked lists also require extra space for storing the pointers.
There are different types of linked lists, depending on how the nodes are connected. In this tutorial, you will learn about three common types: singly linked lists, doubly linked lists, and circular linked lists. You will also learn how to implement them in Java using the Node class and the LinkedList interface.
Are you curious about how linked lists work and how to use them in Java? Let’s move on to the next section and find out!
2.1. Singly Linked Lists
A singly linked list is the simplest type of linked list, where each node has only one pointer to the next node. The head node points to the first node in the list, and the tail node points to null. To traverse a singly linked list, you start from the head and follow the pointers until you reach the tail.
To create a singly linked list in Java, you need to define a Node class that represents a single node in the list. The Node class has two fields: data and next. The data field stores the value of the node, and the next field stores the reference to the next node. You can also define a constructor that initializes the fields with the given parameters.
// Node class for a singly linked list class Node { // Data and next fields int data; Node next; // Constructor public Node(int data, Node next) { this.data = data; this.next = next; } }
To create a singly linked list, you need to create multiple Node objects and link them together using the next field. For example, to create a singly linked list with three nodes, you can write:
// Create three Node objects Node node1 = new Node(10, null); Node node2 = new Node(20, null); Node node3 = new Node(30, null); // Link the nodes together node1.next = node2; node2.next = node3; // Assign the head node Node head = node1;
Once you have created a singly linked list, you can perform various operations on it, such as inserting, deleting, searching, and reversing nodes. However, these operations require different approaches and have different time complexities than arrays. In the next sections, you will learn how to implement these operations in Java and compare their performance with arrays.
Do you want to learn how to manipulate singly linked lists in Java? Let’s continue to the next section and see how to insert nodes in a singly linked list!
2.2. Doubly Linked Lists
A doubly linked list is a type of linked list where each node has two pointers: one to the next node and one to the previous node. The head node points to the first node in the list, and the tail node points to the last node. The first and last nodes have null pointers for their previous and next fields, respectively. To traverse a doubly linked list, you can start from either the head or the tail and follow the pointers in either direction.
Doubly linked lists have some advantages over singly linked lists. They allow bidirectional traversal, which means you can access the elements from both ends of the list. They also make it easier to insert and delete nodes at any position, as you can access the previous and next nodes without having to traverse the whole list. However, doubly linked lists also have some disadvantages. They require more space for storing the extra pointer, and they require more operations for updating the pointers when inserting or deleting nodes.
To create a doubly linked list in Java, you need to modify the Node class to include a prev field that stores the reference to the previous node. You can also define a constructor that initializes the fields with the given parameters.
// Node class for a doubly linked list class Node { // Data, prev, and next fields int data; Node prev; Node next; // Constructor public Node(int data, Node prev, Node next) { this.data = data; this.prev = prev; this.next = next; } }
To create a doubly linked list, you need to create multiple Node objects and link them together using the prev and next fields. For example, to create a doubly linked list with three nodes, you can write:
// Create three Node objects Node node1 = new Node(10, null, null); Node node2 = new Node(20, null, null); Node node3 = new Node(30, null, null); // Link the nodes together node1.next = node2; node2.prev = node1; node2.next = node3; node3.prev = node2; // Assign the head and tail nodes Node head = node1; Node tail = node3;
Once you have created a doubly linked list, you can perform various operations on it, such as inserting, deleting, searching, and reversing nodes. In the next sections, you will learn how to implement these operations in Java and compare their performance with singly linked lists and arrays.
Do you want to learn how to manipulate doubly linked lists in Java? Let’s continue to the next section and see how to insert nodes in a doubly linked list!
2.3. Circular Linked Lists
A circular linked list is a type of linked list where the last node points to the first node, forming a loop. The head node points to the first node in the list, and there is no tail node. To traverse a circular linked list, you can start from any node and follow the pointers until you reach the same node again.
Circular linked lists have some advantages over singly and doubly linked lists. They allow continuous traversal, which means you can access the elements without reaching the end of the list. They also make it easier to insert and delete nodes at the beginning and end of the list, as you can access the last node from the first node. However, circular linked lists also have some disadvantages. They require more care to avoid infinite loops, and they make it harder to detect empty lists or find the length of the list.
To create a circular linked list in Java, you can use the same Node class as for a singly linked list, but you need to modify the way you link the nodes together. For example, to create a circular linked list with three nodes, you can write:
// Create three Node objects Node node1 = new Node(10, null); Node node2 = new Node(20, null); Node node3 = new Node(30, null); // Link the nodes together node1.next = node2; node2.next = node3; node3.next = node1; // Assign the head node Node head = node1;
Do you want to learn how to manipulate circular linked lists in Java? Let’s continue to the next section and see how to insert nodes in a circular linked list!
3. What are Stacks?
A stack is a data structure that follows the last-in, first-out (LIFO) principle. This means that the last element added to the stack is the first one removed. A stack can be visualized as a pile of plates, where you can only add or remove plates from the top of the pile.
Stacks are useful for storing and manipulating data that needs to be accessed in a reverse order. For example, stacks can be used to:
- Manage function calls and recursion.
- Reverse, sort, and search data.
- Evaluate expressions and convert between notations.
- Undo and redo operations.
To create a stack in Java, you need to define two basic operations: push and pop. The push operation adds an element to the top of the stack, and the pop operation removes and returns the element from the top of the stack. You also need to define a peek operation that returns the element from the top of the stack without removing it. Additionally, you need to define a size operation that returns the number of elements in the stack, and an isEmpty operation that returns true if the stack is empty and false otherwise.
To implement these operations, you can use either an array or a linked list as the underlying data structure. In this tutorial, you will learn how to implement a stack using both approaches and compare their advantages and disadvantages.
Do you want to learn how to implement a stack in Java? Let’s continue to the next section and see how to use an array to create a stack!
3.1. Stack Operations
In this section, you will learn how to perform the basic operations of a stack: push, pop, peek, size, and isEmpty. You will also learn how to use the Stack class in Java, which provides these operations as built-in methods.
The push operation adds an element to the top of the stack. To push an element, you need to create a new node with the element as the data and the current top node as the next node. Then, you need to update the top node to point to the new node. For example, to push 40 to the stack, you can write:
// Create a new node with 40 as the data and the current top node as the next node Node node = new Node(40, top); // Update the top node to point to the new node top = node;
The pop operation removes and returns the element from the top of the stack. To pop an element, you need to check if the stack is empty. If it is, you need to throw an exception. Otherwise, you need to store the data of the top node in a variable, update the top node to point to the next node, and return the stored data. For example, to pop an element from the stack, you can write:
// Check if the stack is empty if (top == null) { // Throw an exception throw new EmptyStackException(); } // Store the data of the top node in a variable int data = top.data; // Update the top node to point to the next node top = top.next; // Return the stored data return data;
The peek operation returns the element from the top of the stack without removing it. To peek an element, you need to check if the stack is empty. If it is, you need to throw an exception. Otherwise, you need to return the data of the top node. For example, to peek an element from the stack, you can write:
// Check if the stack is empty if (top == null) { // Throw an exception throw new EmptyStackException(); } // Return the data of the top node return top.data;
The size operation returns the number of elements in the stack. To get the size, you need to initialize a variable to store the count and a node to point to the top node. Then, you need to loop through the stack and increment the count for each node. Finally, you need to return the count. For example, to get the size of the stack, you can write:
// Initialize a variable to store the count int count = 0; // Initialize a node to point to the top node Node node = top; // Loop through the stack while (node != null) { // Increment the count count++; // Move the node to the next node node = node.next; } // Return the count return count;
The isEmpty operation returns true if the stack is empty and false otherwise. To check if the stack is empty, you need to return the result of comparing the top node with null. For example, to check if the stack is empty, you can write:
// Return the result of comparing the top node with null return top == null;
These are the basic operations of a stack that you need to implement using an array or a linked list. However, Java provides a built-in Stack class that implements these operations as methods. You can use the Stack class to create and manipulate stacks without having to write your own code. The Stack class extends the Vector class, which is a dynamic array that can grow and shrink as needed. The Stack class provides the following methods:
- push(E item): Pushes an item onto the top of the stack and returns the item.
- pop(): Removes and returns the item from the top of the stack. Throws an EmptyStackException if the stack is empty.
- peek(): Returns the item from the top of the stack without removing it. Throws an EmptyStackException if the stack is empty.
- size(): Returns the number of items in the stack.
- isEmpty(): Returns true if the stack is empty and false otherwise.
To use the Stack class, you need to import it from the java.util package. Then, you can create a Stack object and use the methods to perform the operations. For example, to create a stack of integers and push, pop, peek, size, and isEmpty, you can write:
// Import the Stack class import java.util.Stack; // Create a stack of integers Stack stack = new Stack<>(); // Push 10, 20, and 30 to the stack stack.push(10); stack.push(20); stack.push(30); // Pop and print the top element System.out.println(stack.pop()); // 30 // Peek and print the top element System.out.println(stack.peek()); // 20 // Print the size of the stack System.out.println(stack.size()); // 2 // Check if the stack is empty System.out.println(stack.isEmpty()); // false
Using the Stack class is easier and faster than implementing your own stack using an array or a linked list. However, it is also important to understand how the stack operations work internally and how they affect the performance of the stack. In the next sections, you will learn how to implement a stack using an array and a linked list and compare their advantages and disadvantages.
Do you want to learn how to implement a stack using an array in Java? Let’s continue to the next section and see how to do it!
3.2. Stack Implementation using Arrays
In this section, you will learn how to implement a stack using an array as the underlying data structure. An array is a fixed-size collection of elements that are stored in a contiguous block of memory. An array allows random access to any element by using an index, which is an integer value that represents the position of the element in the array.
To implement a stack using an array, you need to define an array that can store the elements of the stack, and a variable that can keep track of the top of the stack. The top of the stack is the index of the last element that was pushed to the stack. Initially, the top of the stack is -1, indicating that the stack is empty. To push an element to the stack, you need to increment the top of the stack and assign the element to the array at that index. To pop an element from the stack, you need to return the element at the top of the stack and decrement the top of the stack. For example, to create a stack of integers using an array, you can write:
// Define an array that can store the elements of the stack int[] array = new int[10]; // Define a variable that can keep track of the top of the stack int top = -1; // Push 10, 20, and 30 to the stack top++; array[top] = 10; top++; array[top] = 20; top++; array[top] = 30; // Pop and print the top element System.out.println(array[top]); // 30 top--; // Peek and print the top element System.out.println(array[top]); // 20 // Print the size of the stack System.out.println(top + 1); // 2 // Check if the stack is empty System.out.println(top == -1); // false
Using an array to implement a stack has some advantages and disadvantages. The advantages are that it is easy to implement and it allows constant time access to the top element. The disadvantages are that it has a fixed size and it can cause overflow or underflow errors. Overflow occurs when the stack is full and you try to push an element. Underflow occurs when the stack is empty and you try to pop an element. To avoid these errors, you need to check the capacity and the size of the stack before performing the operations. Alternatively, you can use a dynamic array that can grow and shrink as needed, such as the ArrayList class in Java.
Using an array to implement a stack is one way to create and manipulate stacks in Java. However, there is another way that uses a linked list as the underlying data structure. In the next section, you will learn how to implement a stack using a linked list and compare its advantages and disadvantages with using an array.
Do you want to learn how to implement a stack using a linked list in Java? Let’s continue to the next section and see how to do it!
3.3. Stack Implementation using Linked Lists
In this section, you will learn how to implement a stack using a linked list as the underlying data structure. A linked list is a dynamic collection of nodes that are linked together by pointers. A linked list allows sequential access to the elements by traversing the nodes from the head. A linked list can grow and shrink as needed, without requiring a fixed amount of memory allocation.
To implement a stack using a linked list, you need to define a Node class that represents a single node in the list, and a Stack class that represents the stack itself. The Node class has two fields: data and next. The data field stores the value of the node, and the next field stores the reference to the next node. The Stack class has one field: top. The top field stores the reference to the top node of the stack. The Stack class also provides the methods for the stack operations: push, pop, peek, size, and isEmpty.
To push an element to the stack, you need to create a new node with the element as the data and the current top node as the next node. Then, you need to update the top node to point to the new node. To pop an element from the stack, you need to check if the stack is empty. If it is, you need to throw an exception. Otherwise, you need to store the data of the top node in a variable, update the top node to point to the next node, and return the stored data. To peek an element from the stack, you need to check if the stack is empty. If it is, you need to throw an exception. Otherwise, you need to return the data of the top node. To get the size of the stack, you need to initialize a variable to store the count and a node to point to the top node. Then, you need to loop through the stack and increment the count for each node. Finally, you need to return the count. To check if the stack is empty, you need to return the result of comparing the top node with null. For example, to create a stack of integers using a linked list, you can write:
// Node class for a linked list class Node { // Data and next fields int data; Node next; // Constructor public Node(int data, Node next) { this.data = data; this.next = next; } } // Stack class using a linked list class Stack { // Top field Node top; // Push method public void push(int data) { // Create a new node with the data and the current top node as the next node Node node = new Node(data, top); // Update the top node to point to the new node top = node; } // Pop method public int pop() { // Check if the stack is empty if (top == null) { // Throw an exception throw new EmptyStackException(); } // Store the data of the top node in a variable int data = top.data; // Update the top node to point to the next node top = top.next; // Return the stored data return data; } // Peek method public int peek() { // Check if the stack is empty if (top == null) { // Throw an exception throw new EmptyStackException(); } // Return the data of the top node return top.data; } // Size method public int size() { // Initialize a variable to store the count int count = 0; // Initialize a node to point to the top node Node node = top; // Loop through the stack while (node != null) { // Increment the count count++; // Move the node to the next node node = node.next; } // Return the count return count; } // IsEmpty method public boolean isEmpty() { // Return the result of comparing the top node with null return top == null; } }
Using a linked list to implement a stack is another way to create and manipulate stacks in Java. However, there is also a built-in Stack class that provides the stack operations as methods. You can use the Stack class to create and manipulate stacks without having to write your own code. The Stack class extends the Vector class, which is a dynamic array that can grow and shrink as needed. In the previous section, you learned how to use the Stack class and its methods.
Now that you have learned how to implement a stack using an array, a linked list, and the Stack class, you can compare their advantages and disadvantages and choose the best option for your needs. In the next section, you will learn how to apply the stack data structure to solve some common problems.
Do you want to learn how to use stacks to solve some common problems in Java? Let’s continue to the next section and see how to do it!
4. Applications of Linked Lists and Stacks
In this section, you will learn how to use linked lists and stacks to solve some common problems in Java. Linked lists and stacks are versatile data structures that can be applied to various scenarios, such as reversing, sorting, searching, evaluating, and converting data. You will also learn how to use the built-in classes and methods in Java that support these operations.
Some of the problems that you will learn how to solve using linked lists and stacks are:
- Reversing a string using a stack: You will learn how to use a stack to reverse the order of the characters in a string.
- Evaluating a postfix expression using a stack: You will learn how to use a stack to evaluate a mathematical expression that is written in postfix notation.
- Implementing a queue using two stacks: You will learn how to use two stacks to implement a queue, which is a data structure that follows the first-in, first-out (FIFO) principle.
These are some examples of the applications of linked lists and stacks that you will learn in this section. However, there are many more problems that can be solved using these data structures, and you are encouraged to explore them on your own.
Are you ready to learn how to use linked lists and stacks to solve some common problems in Java? Let’s start with the first problem: reversing a string using a stack!
4.1. Reversing a String using a Stack
In this section, you will learn how to use a stack to reverse the order of the characters in a string. Reversing a string is a common problem that can be solved using a stack, because a stack follows the last-in, first-out (LIFO) principle, which means that the last element added to the stack is the first one removed. By pushing the characters of a string to a stack and then popping them out, you can get the reverse order of the string.
To reverse a string using a stack, you need to follow these steps:
- Create an empty stack of characters.
- Loop through the characters of the string and push each character to the stack.
- Create an empty string to store the reversed string.
- Loop through the stack and pop each character from the stack and append it to the reversed string.
- Return the reversed string.
For example, to reverse the string “Hello” using a stack, you can write:
// Import the Stack class import java.util.Stack; // Define a method to reverse a string using a stack public static String reverseString(String str) { // Create an empty stack of characters Stack stack = new Stack<>(); // Loop through the characters of the string and push each character to the stack for (int i = 0; i < str.length(); i++) { stack.push(str.charAt(i)); } // Create an empty string to store the reversed string String reversed = ""; // Loop through the stack and pop each character from the stack and append it to the reversed string while (!stack.isEmpty()) { reversed += stack.pop(); } // Return the reversed string return reversed; } // Test the method public static void main(String[] args) { // Define a string to reverse String str = "Hello"; // Call the method and print the result System.out.println(reverseString(str)); // olleH }
Using a stack to reverse a string is a simple and effective way to solve this problem. However, there are also other ways to reverse a string, such as using a StringBuilder, a char array, or a recursive method. You can explore these options and compare their performance and readability with using a stack.
Reversing a string using a stack is one example of the applications of stacks that you can learn in this section. However, there are many more problems that can be solved using stacks, such as evaluating a postfix expression and implementing a queue. In the next sections, you will learn how to use stacks to solve these problems.
Do you want to learn how to use stacks to evaluate a postfix expression in Java? Let’s continue to the next section and see how to do it!
4.2. Evaluating a Postfix Expression using a Stack
In this section, you will learn how to use a stack to evaluate a mathematical expression that is written in postfix notation. Postfix notation, also known as reverse Polish notation, is a way of writing an expression where the operators are placed after the operands. For example, the infix expression 2 + 3 * 4 can be written in postfix notation as 2 3 4 * +. Postfix notation has the advantage of eliminating the need for parentheses and precedence rules, making it easier to evaluate the expression using a stack.
To evaluate a postfix expression using a stack, you need to follow these steps:
- Create an empty stack of numbers.
- Loop through the tokens of the expression and perform the following actions for each token:
- If the token is a number, push it to the stack.
- If the token is an operator, pop two numbers from the stack, apply the operator to them, and push the result back to the stack.
- After looping through all the tokens, pop the final result from the stack and return it.
For example, to evaluate the postfix expression 2 3 4 * + using a stack, you can write:
// Import the Stack class import java.util.Stack; // Define a method to evaluate a postfix expression using a stack public static int evaluatePostfix(String expression) { // Create an empty stack of numbers Stack stack = new Stack<>(); // Loop through the tokens of the expression for (String token : expression.split(" ")) { // If the token is a number, push it to the stack if (isNumber(token)) { stack.push(Integer.parseInt(token)); } // If the token is an operator, pop two numbers from the stack, apply the operator to them, and push the result back to the stack else if (isOperator(token)) { int num2 = stack.pop(); int num1 = stack.pop(); int result = applyOperator(token, num1, num2); stack.push(result); } } // Pop the final result from the stack and return it return stack.pop(); } // Define a helper method to check if a token is a number public static boolean isNumber(String token) { // Try to parse the token as an integer try { Integer.parseInt(token); // If no exception is thrown, the token is a number return true; } catch (NumberFormatException e) { // If an exception is thrown, the token is not a number return false; } } // Define a helper method to check if a token is an operator public static boolean isOperator(String token) { // Return true if the token is one of the four basic arithmetic operators return token.equals("+") || token.equals("-") || token.equals("*") || token.equals("/"); } // Define a helper method to apply an operator to two numbers and return the result public static int applyOperator(String operator, int num1, int num2) { // Switch on the operator and perform the corresponding operation switch (operator) { case "+": return num1 + num2; case "-": return num1 - num2; case "*": return num1 * num2; case "/": return num1 / num2; default: // Throw an exception if the operator is invalid throw new IllegalArgumentException("Invalid operator: " + operator); } } // Test the method public static void main(String[] args) { // Define a postfix expression to evaluate String expression = "2 3 4 * +"; // Call the method and print the result System.out.println(evaluatePostfix(expression)); // 14 }
Evaluating a postfix expression using a stack is one example of the applications of stacks that you can learn in this section. However, there are many more problems that can be solved using stacks, such as reversing a string and implementing a queue. In the next sections, you will learn how to use stacks to solve these problems.
Do you want to learn how to use stacks to implement a queue in Java? Let’s continue to the next section and see how to do it!
4.3. Implementing a Queue using Two Stacks
In this section, you will learn how to use two stacks to implement a queue, which is a data structure that follows the first-in, first-out (FIFO) principle, where the first element added to the queue is the first one removed. A queue has two basic operations: enqueue, which adds an element to the rear of the queue, and dequeue, which removes an element from the front of the queue.
To implement a queue using two stacks, you need to define a Queue class that represents the queue itself. The Queue class has two fields: stack1 and stack2. The stack1 field stores the elements of the queue in reverse order, and the stack2 field stores the elements of the queue in the correct order. The Queue class also provides the methods for the queue operations: enqueue, dequeue, peek, size, and isEmpty.
To enqueue an element to the queue, you need to push the element to stack1. To dequeue an element from the queue, you need to check if stack2 is empty. If it is, you need to pop all the elements from stack1 and push them to stack2. Then, you need to pop the top element from stack2 and return it. To peek an element from the queue, you need to check if stack2 is empty. If it is, you need to pop all the elements from stack1 and push them to stack2. Then, you need to return the top element from stack2 without removing it. To get the size of the queue, you need to return the sum of the sizes of stack1 and stack2. To check if the queue is empty, you need to return the result of checking if both stack1 and stack2 are empty. For example, to create a queue of integers using two stacks, you can write:
// Import the Stack class import java.util.Stack; // Queue class using two stacks class Queue { // Stack1 and stack2 fields Stack stack1; Stack stack2; // Constructor public Queue() { // Initialize the stacks stack1 = new Stack<>(); stack2 = new Stack<>(); } // Enqueue method public void enqueue(int data) { // Push the data to stack1 stack1.push(data); } // Dequeue method public int dequeue() { // Check if the queue is empty if (isEmpty()) { // Throw an exception throw new EmptyQueueException(); } // Check if stack2 is empty if (stack2.isEmpty()) { // Pop all the elements from stack1 and push them to stack2 while (!stack1.isEmpty()) { stack2.push(stack1.pop()); } } // Pop the top element from stack2 and return it return stack2.pop(); } // Peek method public int peek() { // Check if the queue is empty if (isEmpty()) { // Throw an exception throw new EmptyQueueException(); } // Check if stack2 is empty if (stack2.isEmpty()) { // Pop all the elements from stack1 and push them to stack2 while (!stack1.isEmpty()) { stack2.push(stack1.pop()); } } // Return the top element from stack2 without removing it return stack2.peek(); } // Size method public int size() { // Return the sum of the sizes of stack1 and stack2 return stack1.size() + stack2.size(); } // IsEmpty method public boolean isEmpty() { // Return the result of checking if both stack1 and stack2 are empty return stack1.isEmpty() && stack2.isEmpty(); } }
Using two stacks to implement a queue has some advantages and disadvantages. The advantages are that it is easy to implement and it does not cause overflow errors. The disadvantages are that it requires extra space for storing the stacks and it has a higher time complexity for the dequeue and peek operations. However, since the dequeue and peek operations only transfer the elements from stack1 to stack2 when stack2 is empty, the amortized time complexity is constant.
Using two stacks to implement a queue is another way to create and manipulate queues in Java. However, there is also a built-in Queue interface that provides the queue operations as methods. You can use the Queue interface to create and manipulate queues without having to write your own code. The Queue interface has several implementations, such as LinkedList, ArrayDeque, and PriorityQueue. In the previous section, you learned how to use the Queue interface and its methods.
Now that you have learned how to implement a queue using two stacks, you can compare their advantages and disadvantages and choose the best option for your needs. In the next section, you will learn how to conclude your tutorial and summarize the main points.
Do you want to learn how to write a conclusion for your tutorial? Let’s continue to the next section and see how to do it!
5. Conclusion
In this tutorial, you have learned how to use linked lists and stacks in Java, two fundamental data structures that allow dynamic memory allocation and efficient operations. You have also learned how to implement these data structures using nodes and pointers, and how to apply them to solve some common problems.
Some of the key points that you have learned in this tutorial are:
- Linked lists are linear data structures that store data in a sequence of nodes, each node containing some data and a pointer to the next node.
- Stacks are linear data structures that follow the last-in, first-out (LIFO) principle, where the last element added to the stack is the first one removed.
- There are different types of linked lists, such as singly linked lists, doubly linked lists, and circular linked lists, depending on how the nodes are connected.
- There are different ways to implement stacks, such as using arrays or linked lists, depending on the trade-offs between space and time complexity.
- Linked lists and stacks can be used to solve various problems, such as reversing, sorting, searching, evaluating, and converting data.
- Java provides built-in classes and interfaces that support linked lists and stacks, such as the Node class, the LinkedList interface, and the Stack class.
By completing this tutorial, you have gained a solid understanding of the concepts and properties of linked lists and stacks, and how to use them in Java. You have also gained some practical skills and experience in creating and manipulating these data structures and applying them to solve some common problems.
We hope that you have enjoyed this tutorial and learned something useful from it. If you have any questions or feedback, please feel free to leave a comment below. Thank you for reading and happy coding!