Insert at Beginning Head Insert in DSA Java

Mental Model

Add a new item right at the start so it becomes the first thing in the list.

Analogy: Imagine putting a new book on the very front of a row of books on a shelf, pushing the others back.

null
↑ head

Dry Run Walkthrough

Input: list: null (empty), insert value 10 at beginning

Goal: Add 10 as the first node so list becomes 10 -> null

Step 1: Create new node with value 10

10 -> null
↑ newNode

Why: We need a new node to hold the value

Step 2: Set new node's next to current head (null)

10 -> null
↑ newNode

Why: Link new node to the old first node (none here)

Step 3: Update head to new node

10 -> null
↑ head

Why: Head must point to new first node

Result:

10 -> null
↑ head

Annotated Code

DSA Java

public class LinkedList {
    static class Node {
        int data;
        Node next;
        Node(int data) {
            this.data = data;
            this.next = null;
        }
    }

    Node head;

    // Insert new node at beginning
    public void insertAtBeginning(int value) {
        Node newNode = new Node(value); // create new node
        newNode.next = head; // link new node to current head
        head = newNode; // update head to new node
    }

    // Print list
    public void printList() {
        Node curr = head;
        while (curr != null) {
            System.out.print(curr.data + " -> ");
            curr = curr.next;
        }
        System.out.print("null\n");
    }

    public static void main(String[] args) {
        LinkedList list = new LinkedList();
        list.insertAtBeginning(10);
        list.printList();
    }
}

Node newNode = new Node(value); // create new node

create a new node to hold the inserted value

newNode.next = head; // link new node to current head

point new node's next to current first node

head = newNode; // update head to new node

make new node the first node by updating head

Output

10 -> null

Complexity Analysis

Time: O(1) because insertion at the beginning does not depend on list size

Space: O(1) because only one new node is created

vs Alternative: Compared to inserting at the end which is O(n) due to traversal, this is faster and simpler

Edge Cases

empty list (head is null)

new node becomes the only node and head points to it

DSA Java

newNode.next = head; // link new node to current head

list with existing nodes

new node points to old first node, head updates to new node

DSA Java

head = newNode; // update head to new node

When to Use This Pattern

When you need to add an item quickly at the start of a list, use head insertion because it avoids traversing the list.

Common Mistakes

Mistake: Forgetting to update the head pointer to the new node
Fix: Always assign head = newNode after linking newNode.next to old head

Mistake: Setting newNode.next to null instead of current head
Fix: Set newNode.next = head to keep the existing list connected

Summary

Adds a new node at the start of the linked list.

Use when you want fast insertion without traversing the list.

The new node's next points to the old head, then head updates to new node.

Practice

1. What does the "Insert at Beginning" operation do in a singly linked list?

easy

A. Deletes the last node of the list

B. Adds a new node at the end of the list

C. Adds a new node at the start of the list

D. Deletes the first node of the list

Solution

1. Step 1: Understand the operation

   Inserting at the beginning means placing a new node before the current first node.

2. Step 2: Effect on the list

   The new node becomes the head, pushing the old head to second position.

3. Final Answer:

   Adds a new node at the start of the list -> Option C

4. Quick Check:

   Insert at beginning = Add new head [OK]

Hint: New node becomes head, old head moves next [OK]

Common Mistakes:

• Confusing insert at beginning with insert at end
• Thinking it deletes nodes
• Assuming it changes the tail node

2. Which of the following is the correct Java syntax to insert a new node at the beginning of a singly linked list named list with value 5?

easy

A. list.insertEnd(5);

B. list.add(5);

C. list.head.next = new Node(5);

D. list.head = new Node(5, list.head);

Solution

1. Step 1: Understand Node constructor

   Assuming Node constructor takes value and next node, new Node(5, list.head) creates a new node pointing to current head.

2. Step 2: Assign new node as head

   Setting list.head = new Node(5, list.head); inserts at beginning correctly.

3. Final Answer:

   list.head = new Node(5, list.head); -> Option D

4. Quick Check:

   New node points to old head, becomes new head [OK]

Hint: New node points to old head, assign new node as head [OK]

Common Mistakes:

• Using add() which may add at end
• Changing next of head instead of head itself
• Using insertEnd() which adds at tail

3. What will be the output linked list after executing the following Java code?

class Node {
  int data;
  Node next;
  Node(int d, Node n) { data = d; next = n; }
}

Node head = new Node(3, null);
head = new Node(2, head);
head = new Node(1, head);

// Print list
Node temp = head;
while(temp != null) {
  System.out.print(temp.data + " -> ");
  temp = temp.next;
}
System.out.print("null");

medium

A. 3 -> 2 -> 1 -> null

B. 1 -> 2 -> 3 -> null

C. null -> 1 -> 2 -> 3

D. 2 -> 1 -> 3 -> null

Solution

1. Step 1: Trace insertions

   First node: 3 -> null
   Insert 2 at beginning: 2 -> 3 -> null
   Insert 1 at beginning: 1 -> 2 -> 3 -> null

2. Step 2: Print list

   Loop prints nodes in order: 1, 2, 3, then null.

3. Final Answer:

   1 -> 2 -> 3 -> null -> Option B

4. Quick Check:

   Head insertions reverse order: 1,2,3 [OK]

Hint: Head insert reverses order of inserted nodes [OK]

Common Mistakes:

• Assuming insertion adds at end
• Printing nodes in wrong order
• Confusing next pointers

4. Identify the error in the following code snippet that tries to insert a new node with value 10 at the beginning of a singly linked list.

class Node {
  int data;
  Node next;
  Node(int d) { data = d; next = null; }
}

Node head = null;
Node newNode = new Node(10);
newNode.next = head.next;
head = newNode;

medium

A. Accessing head.next when head is null causes NullPointerException

B. New node is not assigned to head

C. Node constructor is missing next parameter

D. No error, code works fine

Solution

1. Step 1: Analyze head initialization

   Head is null initially, so head.next access is invalid and causes error.

2. Step 2: Identify cause of error

   Trying to assign newNode.next = head.next; throws NullPointerException because head is null.

3. Final Answer:

   Accessing head.next when head is null causes NullPointerException -> Option A

4. Quick Check:

   Null head means head.next invalid [OK]

Hint: Check if head is null before accessing head.next [OK]

Common Mistakes:

• Ignoring null head before accessing next
• Assuming constructor error
• Thinking newNode not assigned to head

5. You have a singly linked list with nodes containing values [4, 5, 6] in that order. You want to insert a new node with value 3 at the beginning. After insertion, you want to print the list in the format shown below.

Which code snippet correctly performs the insertion and prints the list?

class Node {
  int data;
  Node next;
  Node(int d) { data = d; next = null; }
}

Node head = new Node(4);
head.next = new Node(5);
head.next.next = new Node(6);

// Insert new node with value 3 at beginning and print list
// Fill in the blanks below

// Insert code here

// Print code here

hard

A. Node newNode = new Node(3);
newNode.next = head;
head = newNode;
Node temp = head;
while(temp != null) {
System.out.print(temp.data + " -> ");
temp = temp.next;
}
System.out.print("null");

B. Node newNode = new Node(3);
head.next = newNode;
newNode.next = null;
Node temp = head;
while(temp != null) {
System.out.print(temp.data + " -> ");
temp = temp.next;
}
System.out.print("null");

C. Node newNode = new Node(3);
head = newNode;
newNode.next = head.next;
Node temp = head;
while(temp != null) {
System.out.print(temp.data + " -> ");
temp = temp.next;
}
System.out.print("null");

D. Node newNode = new Node(3);
newNode.next = null;
head.next = newNode;
Node temp = head;
while(temp != null) {
System.out.print(temp.data + " -> ");
temp = temp.next;
}
System.out.print("null");

Solution

1. Step 1: Insert new node at beginning

   Create new node with value 3, set its next to current head, then update head to new node.

2. Step 2: Print the list

   Traverse from head, print each node's data followed by ' -> ', end with 'null'.

3. Final Answer:

   Code snippet in Option A correctly inserts and prints the list -> Option A

4. Quick Check:

   New node points to old head, head updated [OK]

Hint: New node next = old head; head = new node; print from head [OK]

Common Mistakes:

• Linking new node incorrectly
• Not updating head to new node
• Appending new node at end instead of beginning