Remove Nth Node from End of List in DSA Java - Cheat Sheet & Quick Revision

Recall & Review

beginner

What is the main idea behind removing the Nth node from the end of a linked list?

Use two pointers spaced N nodes apart. Move both until the second pointer reaches the end. The first pointer will then be just before the node to remove.

beginner

Why do we use a dummy node in the Remove Nth Node from End of List problem?

A dummy node helps handle edge cases like removing the first node by providing a fixed starting point before the head.

intermediate

In the two-pointer approach, what happens if the fast pointer moves N steps ahead and reaches the end immediately?

It means the node to remove is the head of the list, so we remove the head by returning head.next.

beginner

What is the time complexity of removing the Nth node from the end of a singly linked list using the two-pointer method?

O(L), where L is the length of the list, because we only traverse the list once.

intermediate

Explain why the two-pointer technique is better than calculating the length first and then removing the node.

Two-pointer technique does it in one pass, saving time and making the code cleaner by avoiding a separate length calculation.

What does the fast pointer do initially in the two-pointer approach?

A Moves N steps ahead

B Moves one step ahead

C Stays at the head

D Moves to the end immediately

The fast pointer moves N steps ahead to create a gap of N nodes between fast and slow pointers.

Why is a dummy node used before the head in this problem?

A To point to the last node

B To store the length of the list

C To reverse the list

D To simplify removing the head node

The dummy node helps handle cases where the head node needs to be removed by providing a stable starting point.

If the fast pointer reaches the end after moving N steps, which node should be removed?

A The head node

B The last node

C The middle node

D No node

If fast pointer reaches the end after N steps, the node to remove is the head node.

What is the space complexity of the two-pointer solution?

A O(N^2)

B O(N)

C O(1)

D O(log N)

The solution uses only a few pointers and no extra data structures, so space complexity is constant O(1).

What happens after the fast pointer reaches the end in the two-pointer approach?

A The slow pointer is at the node to remove

B The slow pointer is just before the node to remove

C The slow pointer is at the head

D The slow pointer moves to the end

When fast pointer reaches the end, slow pointer is just before the node to remove, so we can adjust links to remove it.

Describe step-by-step how to remove the Nth node from the end of a singly linked list using the two-pointer technique.

Think about how spacing between pointers helps find the target node.

Explain why the two-pointer method is efficient compared to first calculating the list length.

Focus on number of traversals and code simplicity.

Practice

1. What does the problem "Remove Nth Node from End of List" ask you to do with a linked list?

easy

A. Reverse the entire linked list

B. Add a new node at the Nth position from the start

C. Find the value of the Nth node from the start

D. Remove the node that is Nth from the end of the list

Solution

1. Step 1: Understand the problem statement

   The problem requires removing the node that is Nth from the end of the linked list, not from the start.

2. Step 2: Clarify the operation on the list

   We do not add or reverse nodes; we specifically remove one node counting from the end.

3. Final Answer:

   Remove the node that is Nth from the end of the list -> Option D

4. Quick Check:

   Remove Nth from end = Remove Nth from end [OK]

Hint: Focus on 'Nth from end' means counting backwards [OK]

Common Mistakes:

• Confusing Nth from end with Nth from start
• Thinking the problem asks to add or reverse nodes
• Ignoring the direction of counting nodes

2. Which of the following Java method signatures correctly represents a function to remove the Nth node from the end of a singly linked list?

easy

A. public ListNode removeNthFromEnd(ListNode head, int n)

B. public void removeNthFromEnd(int n, ListNode head)

C. public ListNode removeNode(ListNode head, int index)

D. public ListNode deleteNthNode(ListNode node, int n)

Solution

1. Step 1: Check method parameters and return type

   The method should take the head of the list and an integer n, and return the new head after removal.

2. Step 2: Match signature with problem requirements

   public ListNode removeNthFromEnd(ListNode head, int n) matches the expected signature: it takes (ListNode head, int n) and returns ListNode.

3. Final Answer:

   public ListNode removeNthFromEnd(ListNode head, int n) -> Option A

4. Quick Check:

   Correct signature = public ListNode removeNthFromEnd(ListNode head, int n) [OK]

Hint: Method must return updated head and accept head, n as parameters [OK]

Common Mistakes:

• Wrong parameter order
• Void return type instead of ListNode
• Using incorrect parameter types

3. What will be the output linked list after removing the 2nd node from the end in the list: 1 -> 2 -> 3 -> 4 -> 5 -> null?

medium

A. 1 -> 2 -> 4 -> 5 -> null

B. 1 -> 2 -> 3 -> 5 -> null

C. 1 -> 3 -> 4 -> 5 -> null

D. 2 -> 3 -> 4 -> 5 -> null

Solution

1. Step 1: Identify the 2nd node from the end

   Counting from the end: 5 (1st), 4 (2nd). So node with value 4 is to be removed.

2. Step 2: Remove node with value 4 and link previous node to next

   After removal, list becomes 1 -> 2 -> 3 -> 5 -> null.

3. Final Answer:

   1 -> 2 -> 3 -> 5 -> null -> Option B

4. Quick Check:

   Remove 2nd from end = Remove node 4 [OK]

Hint: Count nodes from end to find which to remove [OK]

Common Mistakes:

• Removing wrong node counting from start
• Off-by-one errors in counting
• Not updating links correctly after removal

4. Given the following code snippet to remove the Nth node from the end, what is the error?

public ListNode removeNthFromEnd(ListNode head, int n) {
    ListNode fast = head;
    ListNode slow = head;
    for (int i = 0; i <= n; i++) {
        fast = fast.next;
    }
    while (fast != null) {
        fast = fast.next;
        slow = slow.next;
    }
    slow.next = slow.next.next;
    return head;
}

medium

A. The for loop should run from i = 0 to i < n, not i <= n

B. The slow pointer should start at null, not head

C. The method should return slow, not head

D. The while loop condition should be fast.next != null

Solution

1. Step 1: Analyze the for loop for moving fast pointer

   The loop runs i from 0 to n inclusive (i <= n), moving fast n+1 steps, which is one step too many and causes NullPointerException.

2. Step 2: Correct the loop to run i < n to move fast exactly n steps ahead

   This ensures fast is n nodes ahead of slow, allowing correct removal of the target node.

3. Final Answer:

   The for loop should run from i = 0 to i < n, not i <= n -> Option A

4. Quick Check:

   Loop count off by one = The for loop should run from i = 0 to i < n, not i <= n [OK]

Hint: Check loop bounds carefully for pointer steps [OK]

Common Mistakes:

• Using i <= n instead of i < n in loop
• Starting slow pointer incorrectly
• Returning wrong node after removal

5. You have a linked list: 10 -> 20 -> 30 -> 40 -> 50 -> null. You want to remove the 5th node from the end. What will be the resulting list after removal?

hard

A. 30 -> 40 -> 50 -> null

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

C. 20 -> 30 -> 40 -> 50 -> null

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

Solution

1. Step 1: Identify the 5th node from the end

   Since the list has 5 nodes, the 5th from the end is the first node with value 10.

2. Step 2: Remove the first node and update head

   Removing node 10 means the new head is node 20, so list becomes 20 -> 30 -> 40 -> 50 -> null.

3. Final Answer:

   20 -> 30 -> 40 -> 50 -> null -> Option C

4. Quick Check:

   Remove first node = 20 -> 30 -> 40 -> 50 -> null [OK]

Hint: If N equals list length, remove head node [OK]

Common Mistakes:

• Not updating head when first node is removed
• Removing wrong node counting from end
• Confusing list length with N