Insert at End of Doubly Linked List in DSA Typescript - Cheat Sheet & Quick Revision

Recall & Review

beginner

What is a doubly linked list?

A doubly linked list is a chain of nodes where each node has three parts: data, a pointer to the next node, and a pointer to the previous node. This allows traversal in both directions.

beginner

What steps are involved in inserting a node at the end of a doubly linked list?

1. Create a new node with the given data.
2. If the list is empty, set the new node as the head.
3. Otherwise, traverse to the last node.
4. Set the last node's next pointer to the new node.
5. Set the new node's previous pointer to the last node.
6. Set the new node's next pointer to null.

beginner

Why do we need to update the previous pointer of the new node when inserting at the end?

Because the new node must know which node comes before it to maintain the doubly linked list structure, allowing backward traversal.

intermediate

What happens if you forget to set the new node's next pointer to null when inserting at the end?

The list may have incorrect links, possibly causing traversal errors or infinite loops because the new node might point to an unintended node.

beginner

Show the TypeScript code snippet to create a new node for a doubly linked list.

class Node {<br>  data: number;<br>  next: Node | null;<br>  prev: Node | null;<br>  constructor(data: number) {<br>    this.data = data;<br>    this.next = null;<br>    this.prev = null;<br>  }<br>}

What pointer of the last node should be updated when inserting a new node at the end of a doubly linked list?

A head

B prev

C data

D next

The last node's next pointer must point to the new node to link it at the end.

When inserting at the end, what should the new node's next pointer be set to?

A null

B itself

C previous node

D head

The new node is the last node, so its next pointer should be null.

If the doubly linked list is empty, what should the new node become after insertion?

A head

B tail

C middle node

D null

If the list is empty, the new node becomes the head (and tail) of the list.

Which pointer of the new node must be set to the last node during insertion at the end?

A next

B prev

C data

D head

The new node's prev pointer must point to the last node to maintain backward links.

What is the time complexity of inserting a node at the end of a doubly linked list if you do not maintain a tail pointer?

A O(1)

B O(log n)

C O(n)

D O(n^2)

Without a tail pointer, you must traverse the list to find the last node, which takes O(n) time.

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

Think about how pointers change when adding at the end.

Why is it important to update both next and prev pointers when inserting at the end of a doubly linked list?

Consider how doubly linked lists allow moving forward and backward.

Practice

1. What is the main purpose of inserting a node at the end of a doubly linked list?

easy

A. To add a new element after the last node

B. To remove the first node

C. To reverse the list

D. To find the middle node

Solution

1. Step 1: Understand the structure of a doubly linked list

   A doubly linked list has nodes connected forward and backward, allowing traversal in both directions.

2. Step 2: Purpose of insertion at the end

   Inserting at the end means adding a new node after the current last node, updating pointers accordingly.

3. Final Answer:

   To add a new element after the last node -> Option A

4. Quick Check:

   Insert at end = add after last node [OK]

Hint: Insert at end means add after last node [OK]

Common Mistakes:

• Confusing insertion at end with deletion
• Thinking insertion reverses the list
• Assuming insertion happens at the start

2. Which of the following TypeScript code snippets correctly initializes a new node for a doubly linked list?

easy

A. const newNode = { data: 5, next: undefined };

B. const newNode = { data: 5, next: null, prev: null };

C. const newNode = { value: 5, nextNode: null };

D. const newNode = { data: 5 };

Solution

1. Step 1: Identify required properties for a doubly linked list node

   A node must have data, next pointer, and prev pointer to link both directions.

2. Step 2: Check each option for correct properties

   const newNode = { data: 5, next: null, prev: null }; has data, next, and prev all properly set. Others miss prev or use wrong property names.

3. Final Answer:

   const newNode = { data: 5, next: null, prev: null }; -> Option B

4. Quick Check:

   Node needs data, next, prev [OK]

Hint: Node needs data, next, and prev properties [OK]

Common Mistakes:

• Omitting prev pointer
• Using wrong property names like value or nextNode
• Setting next or prev as undefined instead of null

3. Given the following TypeScript code for inserting at the end of a doubly linked list, what will be the printed list after insertion?

class Node {
  data: number;
  next: Node | null = null;
  prev: Node | null = null;
  constructor(data: number) { this.data = data; }
}

class DoublyLinkedList {
  head: Node | null = null;

  insertAtEnd(data: number) {
    const newNode = new Node(data);
    if (!this.head) {
      this.head = newNode;
      return;
    }
    let temp = this.head;
    while (temp.next) {
      temp = temp.next;
    }
    temp.next = newNode;
    newNode.prev = temp;
  }

  printList() {
    let temp = this.head;
    let result = '';
    while (temp) {
      result += temp.data + ' -> ';
      temp = temp.next;
    }
    result += 'null';
    console.log(result);
  }
}

const dll = new DoublyLinkedList();
dll.insertAtEnd(10);
dll.insertAtEnd(20);
dll.insertAtEnd(30);
dll.printList();

medium

A. 10 -> 20 -> 30 -> null

B. 30 -> 20 -> 10 -> null

C. 10 -> 20 -> null

D. null

Solution

1. Step 1: Trace insertAtEnd calls

   First insert adds 10 as head. Second adds 20 after 10. Third adds 30 after 20.

2. Step 2: Trace printList output

   Print starts at head (10), then 20, then 30, then null.

3. Final Answer:

   10 -> 20 -> 30 -> null -> Option A

4. Quick Check:

   Inserted nodes in order = 10 -> 20 -> 30 [OK]

Hint: Insertion at end appends nodes in order [OK]

Common Mistakes:

• Confusing order and printing reversed list
• Missing last inserted node
• Printing null instead of list

4. Identify the error in the following TypeScript method for inserting at the end of a doubly linked list:

insertAtEnd(data: number) {
  const newNode = new Node(data);
  if (!this.head) {
    this.head = newNode;
  }
  let temp = this.head;
  while (temp.next) {
    temp = temp.next;
  }
  temp.next = newNode;
  newNode.prev = temp;
}

medium

A. newNode should be created outside the method

B. Incorrect assignment of newNode.prev

C. Loop condition should be temp !== null

D. Missing return after setting head when list is empty

Solution

1. Step 1: Analyze empty list case

   If head is null, method sets head to newNode but continues to loop and assign next, causing error.

2. Step 2: Fix by adding return after setting head

   Adding return after setting head prevents further code execution and avoids null pointer errors.

3. Final Answer:

   Missing return after setting head when list is empty -> Option D

4. Quick Check:

   Return after head set avoids errors [OK]

Hint: Return immediately after setting head if list empty [OK]

Common Mistakes:

• Not returning after setting head
• Misunderstanding loop condition
• Incorrect pointer assignments

5. You want to insert a new node with data 40 at the end of a doubly linked list that currently has nodes 10 <-> 20 <-> 30. After insertion, what will be the correct state of the list including the prev and next pointers of the new node?

hard

A. 10 <-> 20 <-> 30, with 40.prev and 40.next both null (not linked)

B. 40 <-> 10 <-> 20 <-> 30, where 40.next points to 10 and 40.prev is null

C. 10 <-> 20 <-> 30 <-> 40, where 40.prev points to 30 and 40.next is null

D. 10 <-> 20 <-> 30 <-> 40, where 40.prev and 40.next both point to null

Solution

1. Step 1: Understand insertion at end

   The new node 40 should be linked after 30, so 30.next = 40 and 40.prev = 30.

2. Step 2: Confirm pointers of new node

   Since 40 is last, 40.next must be null to mark list end.

3. Final Answer:

   10 <-> 20 <-> 30 <-> 40, where 40.prev points to 30 and 40.next is null -> Option C

4. Quick Check:

   New tail prev = old tail, next = null [OK]

Hint: New tail node prev = old tail, next = null [OK]

Common Mistakes:

• Setting new node's next pointer incorrectly
• Not linking new node's prev pointer
• Inserting new node at start instead of end