Dequeue Using Linked List in DSA Javascript - Cheat Sheet & Quick Revision

Recall & Review

beginner

What is a Dequeue (Double-Ended Queue)?

A Dequeue is a data structure where elements can be added or removed from both the front and the rear ends.

beginner

Why use a Linked List to implement a Dequeue?

A Linked List allows efficient insertion and deletion at both ends without shifting elements, making it ideal for Dequeue operations.

beginner

What are the main operations of a Dequeue implemented with a Linked List?

The main operations are: addFront, addRear, removeFront, removeRear, and peek operations at both ends.

intermediate

How does removeRear work in a singly linked list based Dequeue?

In a singly linked list, removeRear requires traversing from the front to the node before the rear to update the rear pointer, which is less efficient than a doubly linked list.

intermediate

What advantage does a doubly linked list provide for Dequeue implementation?

A doubly linked list allows direct access to both front and rear nodes, enabling efficient add and remove operations at both ends without traversal.

Which operation is NOT typically supported by a Dequeue?

A Insert element in the middle

B Remove element from rear

C Add element at front

D Peek element at front

Dequeue supports adding/removing at front and rear, but not insertion in the middle.

What is the time complexity of addFront in a linked list based Dequeue?

A O(log n)

B O(n)

C O(n^2)

D O(1)

Adding at the front of a linked list is done in constant time O(1).

In a singly linked list Dequeue, which operation is less efficient?

A addFront

B removeRear

C addRear

D removeFront

removeRear requires traversal to the node before rear, making it O(n) in singly linked list.

Which linked list type is best for implementing a Dequeue?

A Circular linked list

B Singly linked list

C Doubly linked list

D None of the above

Doubly linked list allows efficient operations at both ends without traversal.

What does the peekFront operation do in a Dequeue?

A Returns the front element without removing it

B Removes the front element

C Adds an element at the front

D Checks if the Dequeue is empty

peekFront returns the front element without removing it.

Explain how addRear and removeFront operations work in a Dequeue implemented using a doubly linked list.

Think about how pointers are updated at both ends.

Describe the challenges of implementing removeRear in a singly linked list based Dequeue and how a doubly linked list solves them.

Focus on pointer access and traversal.

Practice

1. What is the main advantage of using a linked list to implement a dequeue compared to an array?

easy

A. It automatically sorts the elements as they are inserted.

B. It allows efficient insertion and deletion from both ends without shifting elements.

C. It uses less memory than an array for the same number of elements.

D. It prevents duplicate elements from being added.

Solution

1. Step 1: Understand linked list operations

   A linked list allows adding or removing nodes at the front or back in constant time without moving other elements.

2. Step 2: Compare with array behavior

   Arrays require shifting elements when inserting or deleting at the front, which is less efficient.

3. Final Answer:

   It allows efficient insertion and deletion from both ends without shifting elements. -> Option B

4. Quick Check:

   Linked list = efficient ends operations [OK]

Hint: Linked list avoids shifting elements for front/back operations [OK]

Common Mistakes:

• Thinking arrays are always more memory efficient
• Assuming linked list sorts elements automatically
• Believing linked list prevents duplicates

2. Which of the following is the correct way to add a new node at the front of a dequeue implemented using a linked list in JavaScript?

easy

A. Create new node, set its prev to current tail, update tail to new node.

B. Create new node, set its prev to current head, update head to new node.

C. Create new node, set its next to null, update tail to new node.

D. Create new node, set its next to current head, update head to new node.

Solution

1. Step 1: Understand adding at front in linked list

   To add at front, new node's next points to current head, then head updates to new node.

2. Step 2: Check options for correctness

   Create new node, set its next to current head, update head to new node. matches this logic; others incorrectly use prev or tail.

3. Final Answer:

   Create new node, set its next to current head, update head to new node. -> Option D

4. Quick Check:

   Add front = newNode.next = head; head = newNode [OK]

Hint: New front node points next to old head [OK]

Common Mistakes:

• Confusing prev and next pointers
• Updating tail instead of head when adding front
• Setting next to null incorrectly

3. Consider the following JavaScript code for a dequeue using a doubly linked list:

class Node {
  constructor(value) {
    this.value = value;
    this.next = null;
    this.prev = null;
  }
}

class Dequeue {
  constructor() {
    this.head = null;
    this.tail = null;
  }

  addFront(value) {
    const newNode = new Node(value);
    if (!this.head) {
      this.head = this.tail = newNode;
    } else {
      newNode.next = this.head;
      this.head.prev = newNode;
      this.head = newNode;
    }
  }

  addRear(value) {
    const newNode = new Node(value);
    if (!this.tail) {
      this.head = this.tail = newNode;
    } else {
      this.tail.next = newNode;
      newNode.prev = this.tail;
      this.tail = newNode;
    }
  }

  removeFront() {
    if (!this.head) return null;
    const val = this.head.value;
    this.head = this.head.next;
    if (this.head) this.head.prev = null;
    else this.tail = null;
    return val;
  }
}

const dq = new Dequeue();
dq.addRear(10);
dq.addFront(20);
dq.addRear(30);
const removed = dq.removeFront();
console.log(removed);
console.log(dq.head.value + ' -> ' + dq.tail.value);

What will be the output?

medium

A. 10
20 -> 30

B. 20
30 -> 10

C. 20
10 -> 30

D. 10
30 -> 20

Solution

1. Step 1: Trace insertions

   addRear(10): list is 10 addFront(20): list is 20 -> 10 addRear(30): list is 20 -> 10 -> 30

2. Step 2: Trace removal

   removeFront() removes 20, returns 20. List becomes 10 -> 30.

3. Final Answer:

   20 10 -> 30 -> Option C

4. Quick Check:

   Remove front returns 20; list head=10, tail=30 [OK]

Hint: Track head/tail changes step-by-step [OK]

Common Mistakes:

• Confusing addFront and addRear order
• Forgetting to update prev pointers
• Mixing removed value with current head

4. The following code snippet is intended to remove the rear node from a dequeue implemented using a doubly linked list. What is the error?

removeRear() {
  if (!this.tail) return null;
  const val = this.tail.value;
  this.tail = this.tail.prev;
  this.tail.next = null;
  return val;
}

medium

A. It does not handle the case when the list becomes empty after removal.

B. It incorrectly updates the head pointer instead of tail.

C. It should set this.tail.prev to null instead of this.tail.next.

D. It returns the wrong value after removal.

Solution

1. Step 1: Analyze removal logic

   After setting tail to tail.prev, if tail becomes null (list empty), accessing tail.next causes error.

2. Step 2: Identify missing check

   Code must check if tail is null before setting tail.next = null to avoid runtime error.

3. Final Answer:

   It does not handle the case when the list becomes empty after removal. -> Option A

4. Quick Check:

   Check empty list after removal to avoid null pointer [OK]

Hint: Check for empty list before pointer updates [OK]

Common Mistakes:

• Not checking if tail is null after update
• Confusing head and tail pointers
• Setting wrong pointer to null

5. You want to implement a function reverseDequeue() that reverses the order of nodes in a dequeue implemented using a doubly linked list. Which approach correctly reverses the dequeue?

hard

A. Traverse each node, swap its next and prev pointers, then swap head and tail pointers.

B. Traverse each node, set next to null, and prev to head, then update head to tail.

C. Create a new dequeue and addRear nodes from the original dequeue's front to rear.

D. Swap values of head and tail nodes only.

Solution

1. Step 1: Understand reversal in doubly linked list

   Reversing means each node's next and prev pointers must be swapped to reverse direction.

2. Step 2: Update head and tail pointers

   After swapping pointers in all nodes, head and tail pointers must be swapped to reflect new ends.

3. Final Answer:

   Traverse each node, swap its next and prev pointers, then swap head and tail pointers. -> Option A

4. Quick Check:

   Swap next/prev in nodes + swap head/tail [OK]

Hint: Swap next and prev pointers in all nodes [OK]

Common Mistakes:

• Only swapping head and tail values
• Setting next to null incorrectly
• Creating new dequeue instead of reversing in place