Insert at Specific Position in Doubly Linked List in DSA C++ - 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

What are the main steps to insert a node at a specific position in a doubly linked list?

1. Traverse the list to reach the node just before the desired position.
2. Create a new node.
3. Adjust the new node's next and previous pointers.
4. Update the surrounding nodes' pointers to include the new node.

intermediate

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, updating both pointers ensures the list stays connected correctly in both directions after insertion.

intermediate

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

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

beginner

How do you insert a node at the head (position 1) of a doubly linked list?

Create the new node, set its next pointer to the current head, set the current head's previous pointer to the new node (if head is not null), then update the head pointer to the new node.

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

A Only previous node's next pointer

B New node's next and previous, previous node's next, next node's previous

C Only new node's next pointer

D Only next node's previous pointer

When inserting, the new node's next and previous pointers must be set, and the surrounding nodes' pointers must be updated to include the new node.

If you insert at position 1 in a doubly linked list, what happens to the head pointer?

A It moves to the new node

B It becomes null

C It moves to the second node

D It stays the same

Inserting at position 1 means the new node becomes the head, so the head pointer must be updated to point to the new node.

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

A O(n^2)

B O(1)

C O(log n)

D O(n)

You may need to traverse up to n nodes to reach the position, so insertion at a specific position is O(n).

Which pointer in a doubly linked list node points to the previous node?

A next

B head

C prev

D tail

The 'prev' pointer points to the previous node in a doubly linked list.

What should you do if the position to insert is beyond the current list length?

A Insert at the end or reject the insertion

B Insert at the head

C Ignore the position and do nothing

D Delete the list

Common practice is to insert at the end or reject the insertion if the position is invalid.

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

Think about how pointers connect nodes before and after insertion.

Describe how the pointers change when inserting a node at the head of a doubly linked list.

Focus on the first node and how the list starts.

Practice

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

easy

A. The list remains unchanged.

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

C. The new node replaces the last node.

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

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: Insert new node at head

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

3. Final Answer:

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

4. Quick Check:

   Insert at position 1 = new head [OK]

Hint: Position 1 means insert at the start [OK]

Common Mistakes:

• Inserting at position 1 but not updating head pointer
• Not updating previous pointer of old head
• Confusing position 1 with end of list

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

easy

A. newNode->next = temp->next; temp->next->prev = newNode; temp->next = newNode; newNode->prev = temp;

B. newNode->prev = temp->prev; temp->prev->next = newNode; temp->prev = newNode; newNode->next = temp;

C. newNode->next = temp->prev; temp->prev->prev = newNode; temp->prev = newNode; newNode->prev = temp;

D. newNode->prev = temp->next; temp->next->next = newNode; temp->next = newNode; newNode->next = temp;

Solution

1. Step 1: Identify correct pointer updates for insertion

   When inserting after temp, newNode's next points to temp's next, and newNode's prev points to temp.

2. Step 2: Update surrounding nodes' pointers

   temp's next's prev must point to newNode, and temp's next must point to newNode.

3. Final Answer:

   newNode->next = temp->next; temp->next->prev = newNode; temp->next = newNode; newNode->prev = temp; -> Option A

4. Quick Check:

   Correct pointer updates = newNode->next = temp->next; temp->next->prev = newNode; temp->next = newNode; newNode->prev = temp; [OK]

Hint: Update next and prev pointers carefully [OK]

Common Mistakes:

• Mixing up next and prev pointers
• Not updating temp->next->prev pointer
• Assigning pointers in wrong order causing broken links

3. Given the doubly linked list: 10 <-> 20 <-> 30 <-> null, what will be the list after inserting 15 at position 2?

void insertAtPosition(Node*& head, int data, int pos) {
  Node* newNode = new Node(data);
  if (pos == 1) {
    newNode->next = head;
    if (head) head->prev = newNode;
    head = newNode;
    return;
  }
  Node* temp = head;
  for (int i = 1; i < pos - 1 && temp != nullptr; i++) {
    temp = temp->next;
  }
  if (temp == nullptr) return;
  newNode->next = temp->next;
  if (temp->next) temp->next->prev = newNode;
  temp->next = newNode;
  newNode->prev = temp;
}

medium

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

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

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

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

Solution

1. Step 1: Locate position 2 in the list

   Position 2 means after the first node (10). So temp points to node with data 10.

2. Step 2: Insert new node with data 15 after temp

   New node's next points to 20, and prev points to 10. Update 10's next to new node and 20's prev to new node.

3. Final Answer:

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

4. Quick Check:

   Insert at position 2 places new node after first node [OK]

Hint: Position 2 means insert after first node [OK]

Common Mistakes:

• Inserting before first node instead of after
• Not updating prev pointer of next node
• Skipping position count in loop

4. Identify the error in the following code snippet for inserting at position pos in a doubly linked list:

void insertAtPosition(Node*& head, int data, int pos) {
  Node* newNode = new Node(data);
  if (pos == 1) {
    newNode->next = head;
    if (head) head->prev = newNode;
    head = newNode;
    return;
  }
  Node* temp = head;
  for (int i = 1; i < pos - 1; i++) {
    temp = temp->next;
  }
  newNode->next = temp->next;
  temp->next = newNode;
  newNode->prev = temp;
  if (newNode->next) newNode->next->prev = newNode;
}

medium

A. The newNode->next pointer is assigned after temp->next is changed.

B. The newNode->prev pointer is not set correctly.

C. The head pointer is not updated when inserting at position 1.

D. The loop does not check if temp is nullptr, causing possible crash.

Solution

1. Step 1: Analyze the for loop traversal

   The loop moves temp forward but does not check if temp becomes nullptr, risking null pointer dereference.

2. Step 2: Identify missing safety check

   Without checking temp != nullptr, accessing temp->next can cause a crash if pos is invalid or list is short.

3. Final Answer:

   The loop does not check if temp is nullptr, causing possible crash. -> Option D

4. Quick Check:

   Always check temp != nullptr in traversal loops [OK]

Hint: Always check for nullptr when traversing [OK]

Common Mistakes:

• Ignoring nullptr checks in loops
• Not updating head for position 1 insert
• Incorrect order of pointer assignments

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, what will be the correct sequence of the list? Also, explain how to handle insertion at the last position if the position is greater than the list length.

hard

A. 5 <-> 12 <-> 10 <-> 15 <-> 20 <-> null; Insert at last by replacing last node.

B. 5 <-> 10 <-> 15 <-> 12 <-> 20 <-> null; Insert at last by adding node before head.

C. 5 <-> 10 <-> 12 <-> 15 <-> 20 <-> null; Insert at last by traversing till last node and updating pointers.

D. 5 <-> 10 <-> 15 <-> 20 <-> 12 <-> null; Insert at last by ignoring position.

Solution

1. Step 1: Insert 12 at position 3

   Position 3 means after second node (10). Insert new node between 10 and 15, updating next and prev pointers accordingly.

2. Step 2: Handle insertion at last position if position > length

   Traverse to last node, then insert new node after it, updating last node's next and new node's prev pointers.

3. Final Answer:

   5 <-> 10 <-> 12 <-> 15 <-> 20 <-> null; Insert at last by traversing till last node and updating pointers. -> Option C

4. Quick Check:

   Insert at position 3 places node between 10 and 15; last insert by traversal [OK]

Hint: Insert at position or append if position too large [OK]

Common Mistakes:

• Inserting at wrong position
• Not updating prev pointer of next node
• Ignoring last position insertion logic