Insert at Specific Position in Doubly Linked List in DSA Javascript - 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 moving forward and backward through the list.

beginner

Why do we need to update both next and previous pointers when inserting in a doubly linked list?

Because each node points to both its next and previous nodes, when inserting a new node, we must update the next pointer of the previous node and the previous pointer of the next node to keep the list connected correctly.

intermediate

What happens if you try to insert at a position greater than the list length in a doubly linked list?

If the position is greater than the list length, the insertion should either be rejected or the new node should be added at the end of the list, depending on the implementation.

beginner

Inserting at position 1 in a doubly linked list means:

Inserting at position 1 means adding the new node at the start (head) of the list. The new node becomes the head, and its next pointer points to the old head.

intermediate

What is the time complexity of inserting at a specific position in a doubly linked list?

The time complexity is O(n) because you may need to traverse up to n nodes to reach the desired position before inserting.

What pointers must be updated when inserting a new node in the middle of a doubly linked list?

A Next pointer of previous node and previous pointer of next node

B Only next pointer of previous node

C Only previous pointer of next node

D No pointers need updating

Both the next pointer of the previous node and the previous pointer of the next node must be updated to include the new node.

If you insert a node at position 1 in a doubly linked list, what happens?

A Node is added at the end

B Node becomes the new head

C Node is ignored

D Node is added after the head

Position 1 means the start of the list, so the new node becomes the new head.

What is the main advantage of a doubly linked list over a singly linked list?

A Can traverse both forward and backward

B Uses less memory

C Faster insertion at the end only

D Simpler to implement

Doubly linked lists have pointers to both next and previous nodes, allowing traversal in both directions.

What is the time complexity to insert at a specific position in a doubly linked list?

A O(1)

B O(n^2)

C O(log n)

D O(n)

You may need to traverse the list to the position, which takes O(n) time.

If you want to insert a node at the end of a doubly linked list, what should you do?

A Replace the head node

B Insert at head

C Traverse to the last node and update pointers

D Insert at position 1

To insert at the end, you must find the last node and update its next pointer and the new node's previous pointer.

Explain step-by-step how to insert a new node at a specific position in a doubly linked list.

Think about how the pointers connect nodes before and after the new node.

Describe how inserting at the head of a doubly linked list differs from inserting in the middle.

Focus on what changes when the new node is the first node.

Practice

1. What happens when you insert a new node at position 1 in a doubly linked list?

easy

A. The new node becomes the new head of the list.

B. The new node is added at the end of the list.

C. The new node replaces the last node.

D. The list remains unchanged.

Solution

1. Step 1: Understand position 1 in doubly linked list

   Position 1 means the start of the list, so the new node should be the first node.

2. Step 2: Effect of insertion at position 1

   The new node's next pointer points to the old head, and the old head's previous pointer points back to the new node. The new node becomes the head.

3. Final Answer:

   The new node becomes the new head of the list. -> Option A

4. Quick Check:

   Insert at position 1 = new head [OK]

Hint: Position 1 means new head insertion [OK]

Common Mistakes:

• Thinking position 1 means end insertion
• Not updating previous pointer of old head
• Ignoring head pointer update

2. Which of the following is the correct syntax to insert a new node at position pos in a doubly linked list in JavaScript?

easy

A. newNode.next = current.next; current.next.prev = newNode; current.next = newNode; newNode.prev = current;

B. newNode.prev = current.next; current.prev = newNode; newNode.next = current; current.next = newNode;

C. newNode.next = current.prev; current.next = newNode; newNode.prev = current.next;

D. newNode.prev = current; current.next = newNode; newNode.next = current.next; current.next.prev = newNode;

Solution

1. Step 1: Identify correct pointer updates for insertion

   When inserting after current, newNode.next should point to current.next, and current.next.prev should point back to newNode.

2. Step 2: Update current's next and newNode's prev

   Set current.next to newNode and newNode.prev to current to link newNode properly.

3. Final Answer:

   newNode.next = current.next; current.next.prev = newNode; current.next = newNode; newNode.prev = current; -> Option A

4. Quick Check:

   Correct pointer updates = newNode.next = current.next; current.next.prev = newNode; current.next = newNode; newNode.prev = current; [OK]

Hint: Next and prev pointers must be updated symmetrically [OK]

Common Mistakes:

• Mixing prev and next pointers
• Not updating current.next.prev
• Incorrect order of assignments causing broken links

3. Given the doubly linked list: 10 <-> 20 <-> 30 <-> null, what is the list after inserting 15 at position 2 using correct insertion logic?

medium

A. 10 <-> 20 <-> 30 <-> 15 <-> null

B. 15 <-> 10 <-> 20 <-> 30 <-> null

C. 10 <-> 15 <-> 20 <-> 30 <-> null

D. 10 <-> 20 <-> 15 <-> 30 <-> null

Solution

1. Step 1: Identify position 2 in the list

   Position 2 means after the first node (10), so 15 should be inserted between 10 and 20.

2. Step 2: Insert 15 between 10 and 20

   Update pointers so 10 points to 15, 15 points to 20, and 20's prev points to 15.

3. Final Answer:

   10 <-> 15 <-> 20 <-> 30 <-> null -> Option C

4. Quick Check:

   Insert at position 2 = between first and second node [OK]

Hint: Position 2 means after first node [OK]

Common Mistakes:

• Inserting at wrong position
• Not updating prev pointer of next node
• Breaking list links after insertion

4. Consider this code snippet to insert a node at position 3 in a doubly linked list:

let current = head;
for(let i = 1; i < pos - 1; i++) {
  current = current.next;
}
newNode.next = current.next;
current.next.prev = newNode;
current.next = newNode;
newNode.prev = current;

What error might occur if pos is greater than the list length?

medium

A. The new node is inserted at the head incorrectly.

B. Runtime error due to accessing next of null.

C. The list becomes circular causing infinite loop.

D. No error; insertion happens at the end automatically.

Solution

1. Step 1: Analyze loop for position traversal

   The loop moves current forward pos-2 times. If pos is too large, current becomes null.

2. Step 2: Accessing current.next when current is null

   Trying to access current.next.prev causes runtime error because current is null.

3. Final Answer:

   Runtime error due to accessing next of null. -> Option B

4. Quick Check:

   Out-of-range position causes null access error [OK]

Hint: Check list length before insertion [OK]

Common Mistakes:

• Not validating position against list length
• Assuming insertion at end without checks
• Ignoring null pointer exceptions

5. You have a doubly linked list: 5 <-> 10 <-> 15 <-> 20 <-> null. You want to insert a new node with value 12 at position 3. After insertion, you also want to remove the node at position 4. What will be the final list?

hard

A. 5 <-> 12 <-> 10 <-> 20 <-> null

B. 5 <-> 10 <-> 12 <-> 15 <-> 20 <-> null

C. 5 <-> 10 <-> 15 <-> 20 <-> null

D. 5 <-> 10 <-> 12 <-> 20 <-> null

Solution

1. Step 1: Insert 12 at position 3

   Position 3 means between nodes with values 10 and 15. After insertion: 5 <-> 10 <-> 12 <-> 15 <-> 20.

2. Step 2: Remove node at position 4

   Position 4 now points to node with value 15. Removing it links 12 directly to 20.

3. Final Answer:

   5 <-> 10 <-> 12 <-> 20 <-> null -> Option D

4. Quick Check:

   Insert then remove node at position 4 = 5 <-> 10 <-> 12 <-> 20 <-> null [OK]

Hint: Insert first, then remove target node [OK]

Common Mistakes:

• Removing wrong node after insertion
• Not updating pointers after removal
• Confusing positions after insertion