Delete Node at End in DSA Python - Time & Space Complexity

Time Complexity: Delete Node at End

O(n)

Understanding Time Complexity

When we delete a node at the end of a linked list, we want to know how long it takes as the list grows.

We ask: How does the time to delete the last node change when the list gets bigger?

Scenario Under Consideration

Analyze the time complexity of the following code snippet.

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

def delete_at_end(head):
    if head is None:
        return None
    if head.next is None:
        return None
    current = head
    while current.next.next:
        current = current.next
    current.next = None
    return head

This code deletes the last node from a singly linked list by walking through the list to find the second last node.

Identify Repeating Operations

Identify the loops, recursion, array traversals that repeat.

• Primary operation: The while loop that moves through the list nodes.
• How many times: It runs once for each node until the second last node is found.

How Execution Grows With Input

As the list gets longer, the loop runs more times, roughly one less than the number of nodes.

Input Size (n)	Approx. Operations
10	About 9 steps through nodes
100	About 99 steps through nodes
1000	About 999 steps through nodes

Pattern observation: The number of steps grows roughly the same as the list size.

Final Time Complexity

Time Complexity: O(n)

This means the time to delete the last node grows linearly with the list size.

Common Mistake

[X] Wrong: "Deleting the last node is always quick and takes constant time."

[OK] Correct: Because we must find the second last node by walking through the list, which takes longer as the list grows.

Interview Connect

Understanding how linked list operations scale helps you explain your code clearly and shows you know how data size affects performance.

Self-Check

"What if we had a pointer to the tail node? How would the time complexity change when deleting the last node?"

Practice

1. What is the main purpose of the Delete Node at End operation in a singly linked list?

easy

A. Remove the first node from the linked list

B. Add a new node at the end of the linked list

C. Remove the last node from the linked list

D. Reverse the linked list

Solution

1. Step 1: Understand the operation

   The operation aims to remove a node from the end of the singly linked list.

2. Step 2: Identify the correct description

   Removing the last node means deleting the tail node, not adding or reversing nodes.

3. Final Answer:

   Remove the last node from the linked list -> Option C

4. Quick Check:

   Delete Node at End = Remove last node [OK]

Hint: Deleting at end means removing the last node [OK]

Common Mistakes:

• Confusing delete at end with delete at beginning
• Thinking it adds a node instead of removing
• Mixing up with reversing the list

2. Which of the following is the correct syntax to delete the last node in a singly linked list in Python?

easy

A. Set last node's next to head

B. Set head = null directly

C. Create a new node and assign it to head

D. Traverse to second last node and set its next to null

Solution

1. Step 1: Understand deletion at end

   To delete the last node, we must find the second last node and make its next pointer null.

2. Step 2: Check each option

   Setting head = null deletes the whole list, not just last node. Setting last node's next to head creates a cycle. Creating a new node and assigning to head adds a node, not deletes.

3. Final Answer:

   Traverse to second last node and set its next to null -> Option D

4. Quick Check:

   Delete last node = second last node next = null [OK]

Hint: Set second last node's next to null to delete last node [OK]

Common Mistakes:

• Setting head to null deletes entire list
• Creating cycles by wrong pointer assignments
• Adding nodes instead of deleting

3. What will be the output linked list after deleting the last node from the list: 1 -> 2 -> 3 -> 4 -> null?

medium

A. 1 -> 2 -> 3 -> null

B. 1 -> 2 -> 3 -> 4 -> null

C. 2 -> 3 -> 4 -> null

D. 1 -> 2 -> null

Solution

1. Step 1: Identify the last node

   The last node in the list is the node with value 4.

2. Step 2: Delete the last node

   Removing node 4 means the new last node is 3, so the list ends at 3 with next as null.

3. Final Answer:

   1 -> 2 -> 3 -> null -> Option A

4. Quick Check:

   Last node 4 removed = 1 -> 2 -> 3 [OK]

Hint: Last node removed means list ends one node earlier [OK]

Common Mistakes:

• Not updating second last node's next to null
• Removing wrong node (like first node)
• Confusing output with original list

4. Consider this code snippet to delete the last node of a singly linked list:

def delete_end(head):
    if head is None:
        return None
    if head.next is None:
        return None
    temp = head
    while temp.next is not None:
        temp = temp.next
    temp.next = None
    return head

What is the error in this code?

medium

A. The loop never stops because condition is wrong

B. temp.next is null check misses second last node

C. It deletes the first node instead of last

D. No error, code works correctly

Solution

1. Step 1: Analyze the loop condition

   The loop runs while temp.next is not null, so temp moves to the last node.

2. Step 2: Identify pointer update mistake

   After loop, temp points to last node, but to delete last node, we need second last node to set its next to null. Here, temp.next = null sets last node's next to null, which is already null, so no deletion happens.

3. Final Answer:

   temp.next is null check misses second last node -> Option B

4. Quick Check:

   Must stop at second last node to delete last [OK]

Hint: Stop at second last node, not last, to delete end node [OK]

Common Mistakes:

• Stopping loop at last node instead of second last
• Not handling single node list correctly
• Setting wrong pointers causing no deletion

5. Given a singly linked list with nodes 10 -> 20 -> 30 -> 40 -> 50 -> null, write the steps to delete the last node and then add a new node with value 60 at the end. What will be the final list?

hard

A. 10 -> 20 -> 30 -> 40 -> 60 -> null

B. 10 -> 20 -> 30 -> 40 -> 50 -> 60 -> null

C. 10 -> 20 -> 30 -> 40 -> null

D. 10 -> 20 -> 30 -> 40 -> 50 -> null

Solution

1. Step 1: Delete the last node (50)

   Traverse to second last node (40) and set its next to null, removing 50.

2. Step 2: Add new node with value 60 at end

   Traverse to last node (40) and set its next to new node with value 60, new node's next is null.

3. Final Answer:

   10 -> 20 -> 30 -> 40 -> 60 -> null -> Option A

4. Quick Check:

   Delete last 50, add 60 at end = 10->20->30->40->60 [OK]

Hint: Delete last node, then link new node at end [OK]

Common Mistakes:

• Not updating second last node's next to null before adding
• Appending new node without deleting last node
• Confusing node values or order