Push Using Linked List Node in DSA Python - Cheat Sheet & Quick Revision

Recall & Review

beginner

What does the 'push' operation do in a linked list?

It adds a new node at the beginning (head) of the linked list, making it the new first element.

beginner

In a singly linked list, what pointer does the new node's 'next' field point to during a push?

It points to the current head node before the new node becomes the head.

intermediate

Why is push operation efficient in a linked list?

Because it only changes a few pointers and does not require shifting elements, so it runs in constant time O(1).

beginner

What happens to the head pointer after a push operation?

The head pointer is updated to point to the newly added node.

beginner

Show the sequence of nodes after pushing 3 nodes with values 10, 20, 30 in that order on an empty linked list.

After pushing 10: 10 -> null
After pushing 20: 20 -> 10 -> null
After pushing 30: 30 -> 20 -> 10 -> null

What is the time complexity of the push operation in a singly linked list?

A O(log n)

B O(1)

C O(n)

D O(n^2)

Push adds a node at the head and only changes pointers, so it runs in constant time O(1).

When pushing a new node, what should the new node's next pointer be set to?

A null

B itself

C tail node

D current head node

The new node's next pointer should point to the current head node before updating the head.

After pushing a node, which pointer changes in the linked list?

A Head pointer

B Tail pointer

C Both head and tail pointers

D No pointer changes

Only the head pointer changes to point to the new node after push.

If the linked list is empty, what does the new node's next pointer point to after push?

A tail node

B head node

C null

D itself

When the list is empty, the new node's next pointer points to null.

Which of these is NOT true about push operation in linked list?

A It requires shifting all nodes

B It inserts at the beginning

C It updates the head pointer

D It runs in constant time

Push does not require shifting nodes; it only changes pointers.

Explain step-by-step how to push a new node with value X onto a singly linked list.

Think about what happens to the head pointer and the new node's next pointer.

Describe how the linked list changes visually after pushing nodes with values 5, then 15, then 25.

Draw the list after each push to see the new head.

Practice

1. What does the push operation do in a linked list when using a node?

easy

A. Removes the last node from the linked list

B. Searches for a node with a specific value

C. Deletes the first node of the linked list

D. Adds a new node at the beginning of the linked list

Solution

1. Step 1: Understand push operation meaning

   Push means adding a new element to the start of the linked list.

2. Step 2: Identify push effect on linked list

   The new node becomes the head, pointing to the old head node.

3. Final Answer:

   Adds a new node at the beginning of the linked list -> Option D

4. Quick Check:

   Push = Add at start [OK]

Hint: Push always adds node at the start of the list [OK]

Common Mistakes:

• Thinking push adds at the end
• Confusing push with pop (removal)
• Assuming push deletes nodes

2. Which of the following is the correct syntax to create a new node and push it to the front of a linked list in Python?

easy

A. head.next = Node(data); head = head.next

B. head = Node(data); head.next = new_node

C. new_node = Node(data); new_node.next = head; head = new_node

D. new_node = Node(data); head = new_node.next

Solution

1. Step 1: Create new node with data

   Use new_node = Node(data) to create a node.

2. Step 2: Link new node to current head and update head

   Set new_node.next = head and then head = new_node.

3. Final Answer:

   new_node = Node(data); new_node.next = head; head = new_node -> Option C

4. Quick Check:

   Correct push syntax = new_node = Node(data); new_node.next = head; head = new_node [OK]

Hint: New node points to head, then head updates to new node [OK]

Common Mistakes:

• Assigning head before linking new_node.next
• Confusing order of assignments
• Using undefined variables

3. What will be the linked list after executing the following code?

class Node:
    def __init__(self, data):
        self.data = data
        self.next = None

def push(head, data):
    new_node = Node(data)
    new_node.next = head
    head = new_node
    return head

head = None
head = push(head, 10)
head = push(head, 20)
head = push(head, 30)

medium

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

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

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

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

Solution

1. Step 1: Push 10 to empty list

   List becomes 10 -> null.

2. Step 2: Push 20 to front

   New head is 20, pointing to 10: 20 -> 10 -> null.

3. Step 3: Push 30 to front

   New head is 30, pointing to 20: 30 -> 20 -> 10 -> null.

4. Final Answer:

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

5. Quick Check:

   Push adds at front, last pushed is first [OK]

Hint: Last pushed node is always the head [OK]

Common Mistakes:

• Assuming push adds at end
• Not updating head after push
• Mixing order of nodes

4. Find the error in this push function for a linked list:

def push(head, data):
    new_node = Node(data)
    head = new_node
    new_node.next = head
    return head

medium

A. new_node is not created properly

B. new_node.next is set after head is updated, causing a loop

C. head is not returned

D. Function does not accept head as parameter

Solution

1. Step 1: Analyze assignment order

   head is set to new_node before linking new_node.next.

2. Step 2: Identify pointer mistake

   new_node.next = head sets next to itself, creating a loop.

3. Final Answer:

   new_node.next is set after head is updated, causing a loop -> Option B

4. Quick Check:

   Link new_node.next before updating head [OK]

Hint: Set new_node.next before changing head [OK]

Common Mistakes:

• Assigning head before linking next
• Creating self-referential loops
• Forgetting to return head

5. Given a linked list with nodes 5 -> 15 -> 25 -> null, what will be the list after pushing nodes with values 35 and 45 in order using the push function?

head = Node(5)
head.next = Node(15)
head.next.next = Node(25)
head = push(head, 35)
head = push(head, 45)

hard

A. 45 -> 35 -> 5 -> 15 -> 25 -> null

B. 5 -> 15 -> 25 -> 35 -> 45 -> null

C. 35 -> 45 -> 5 -> 15 -> 25 -> null

D. 45 -> 35 -> 25 -> 15 -> 5 -> null

Solution

1. Step 1: Original list is 5 -> 15 -> 25 -> null

   Head points to 5, which points to 15, then 25.

2. Step 2: Push 35

   New node 35 points to head (5), head updates to 35: 35 -> 5 -> 15 -> 25 -> null.

3. Step 3: Push 45

   New node 45 points to head (35), head updates to 45: 45 -> 35 -> 5 -> 15 -> 25 -> null.

4. Final Answer:

   45 -> 35 -> 5 -> 15 -> 25 -> null -> Option A

5. Quick Check:

   Push adds nodes at front in order [OK]

Hint: New nodes become new head, pushing old nodes back [OK]

Common Mistakes:

• Appending instead of pushing at front
• Mixing node order after pushes
• Not updating head after push