Insert at End of Circular Linked List in DSA Java - Cheat Sheet & Quick Revision

Recall & Review

beginner

What is a circular linked list?

A circular linked list is a linked list where the last node points back to the first node, forming a circle with no null at the end.

beginner

Why do we need a special method to insert at the end of a circular linked list?

Because the last node points to the first node, we must update the last node's next pointer to the new node and the new node's next pointer to the first node to keep the circle intact.

beginner

Inserting at the end of an empty circular linked list results in what?

The new node points to itself, making it both the first and last node in the circular linked list.

intermediate

What pointers are updated when inserting a new node at the end of a non-empty circular linked list?

The current last node's next pointer is updated to the new node, and the new node's next pointer is set to the head (first node).

intermediate

What is the time complexity of inserting at the end of a circular linked list if we only have a pointer to the head?

O(n), because we need to traverse the list to find the last node before inserting.

What does the last node in a circular linked list point to?

A The first node

B Null

C Itself

D The second node

In a circular linked list, the last node points back to the first node to form a circle.

When inserting at the end of an empty circular linked list, the new node's next pointer should point to:

A The head node

B Null

C Itself

D The second node

For an empty circular linked list, the new node points to itself to maintain the circular structure.

Which pointer must be updated to insert a new node at the end of a circular linked list?

A Both the last node's next pointer and the new node's next pointer

B The last node's next pointer only

C The new node's next pointer only

D The head node's next pointer

Both pointers must be updated: last node's next to new node, and new node's next to head.

If you only have a pointer to the head node, what is the time complexity to insert at the end of a circular linked list?

A O(1)

B O(n)

C O(log n)

D O(n^2)

You must traverse the list to find the last node, which takes O(n) time.

After inserting a new node at the end, what does the new node's next pointer point to?

A Null

B The previous last node

C The new node itself

D The head node

The new node's next pointer points to the head node to maintain the circular link.

Explain step-by-step how to insert a new node at the end of a circular linked list.

Think about how the circle is maintained after insertion.

Describe the difference between inserting at the end of a circular linked list and a singly linked list.

Focus on what the last node points to in each list.

Practice

1. What happens when you insert a new node at the end of an empty circular linked list?

easy

A. The new node points to the head, but the list remains empty.

B. The new node points to itself, becoming the only node in the list.

C. The new node is discarded because the list is empty.

D. The new node points to null, ending the list.

Solution

1. Step 1: Understand circular linked list empty state

   When the list is empty, there is no node, so the new node must point to itself to form a circle.

2. Step 2: Insert new node and update pointers

   The new node's next pointer is set to itself, making it the only node and the head of the list.

3. Final Answer:

   The new node points to itself, becoming the only node in the list. -> Option B

4. Quick Check:

   Empty list insertion = node points to itself [OK]

Hint: Empty circular list node points to itself [OK]

Common Mistakes:

• Setting new node's next to null
• Not updating head pointer
• Assuming list remains empty

2. Which of the following Java code snippets correctly inserts a new node at the end of a circular linked list?

easy

A. newNode.next = head; tail.next = newNode; tail = newNode;

B. newNode.next = null; tail.next = newNode; tail = newNode;

C. newNode.next = tail; head.next = newNode; tail = newNode;

D. newNode.next = head; head.next = newNode; tail = newNode;

Solution

1. Step 1: Set new node's next to head

   In a circular linked list, the last node points to the head, so newNode.next = head is correct.

2. Step 2: Update tail's next and tail pointer

   Tail's next should point to newNode, and tail should be updated to newNode to maintain the list.

3. Final Answer:

   newNode.next = head; tail.next = newNode; tail = newNode; -> Option A

4. Quick Check:

   New node points to head, tail updated [OK]

Hint: New node next = head, tail next = new node [OK]

Common Mistakes:

• Setting newNode.next to null
• Updating head.next instead of tail.next
• Not updating tail pointer

3. Given the following circular linked list with nodes 10 -> 20 -> 30 -> back to 10, what will be the list after inserting 40 at the end?

Node head = new Node(10);
Node second = new Node(20);
Node third = new Node(30);
head.next = second;
second.next = third;
third.next = head;

Node newNode = new Node(40);
Node tail = third;
newNode.next = head;
tail.next = newNode;
tail = newNode;

medium

A. 40 -> 10 -> 20 -> 30 -> back to 40

B. 10 -> 20 -> 30 -> back to 10 (unchanged)

C. 10 -> 20 -> 30 -> 40 -> back to 10

D. 10 -> 20 -> 40 -> 30 -> back to 10

Solution

1. Step 1: Understand initial list and insertion

   Initial list is 10 -> 20 -> 30 -> back to 10. Inserting 40 at end means 30's next points to 40, and 40 points to head (10).

2. Step 2: Update tail and next pointers

   After insertion, tail is updated to 40, and list becomes 10 -> 20 -> 30 -> 40 -> back to 10.

3. Final Answer:

   10 -> 20 -> 30 -> 40 -> back to 10 -> Option C

4. Quick Check:

   New node added at end, circular link maintained [OK]

Hint: New node next = head, tail next = new node [OK]

Common Mistakes:

• Not updating tail.next to new node
• Not updating tail pointer
• Breaking circular link

4. Identify the error in the following code snippet that inserts a node at the end of a circular linked list:

Node newNode = new Node(50);
newNode.next = null;
tail.next = newNode;
tail = newNode;
tail.next = head;

medium

A. Setting newNode.next to null breaks the circular link.

B. Not updating tail pointer causes list corruption.

C. tail.next should point to null, not newNode.

D. head pointer is incorrectly updated.

Solution

1. Step 1: Check newNode.next assignment

   Setting newNode.next to null breaks the circular property because last node must point to head.

2. Step 2: Verify tail.next and tail updates

   tail.next is set to newNode and tail updated correctly, but newNode.next should point to head, not null.

3. Final Answer:

   Setting newNode.next to null breaks the circular link. -> Option A

4. Quick Check:

   newNode.next must point to head, not null [OK]

Hint: Last node next must point to head, never null [OK]

Common Mistakes:

• Setting newNode.next to null
• Not maintaining circular link
• Confusing tail and head pointers

5. You have a circular linked list with nodes 5 -> 15 -> 25 -> back to 5. You want to insert a new node with value 35 at the end. After insertion, you want to print the list starting from head. Which code snippet correctly performs insertion and prints the list?

Node head = new Node(5);
Node second = new Node(15);
Node third = new Node(25);
head.next = second;
second.next = third;
third.next = head;

Node newNode = new Node(35);
Node tail = third;
// Insert newNode at end
// Print list starting from head

hard

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

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

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

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

Solution

1. Step 1: Insert newNode correctly at end

   Set newNode.next to head, update tail.next to newNode, and update tail to newNode to maintain circular list.

2. Step 2: Print list starting from head using do-while

   Use a do-while loop starting at head, printing each node until we return to head, ensuring all nodes are printed once.

3. Final Answer:

   newNode.next = head; tail.next = newNode; tail = newNode; followed by do-while print from head -> Option D

4. Quick Check:

   Insert at end + do-while print from head [OK]

Hint: Use do-while to print circular list once [OK]

Common Mistakes:

• Setting newNode.next to null
• Using while loop with null condition
• Starting print from tail instead of head