Remove Nth Node From End Of List

To solve this coding challenge, you need to remove the nth node from the end of a singly linked list and return the head of the list. Let's walk through the methodology and step-by-step pseudocode to achieve this efficiently.

Explanation

Initially, to solve this problem, it's important to understand the structure of a singly linked list. Each node in the list contains a value (
val
) and a reference to the next node (
next
). The key here is to remove the nth node from the end of the list, which is usually achieved with the help of two pointers.
To accomplish this in one pass:
  1. Use two pointers (
    first
    and
    second
    ).
  2. Move the
    first
    pointer
    n+1
    positions ahead so that when the
    first
    pointer reaches the end, the
    second
    pointer will be positioned right before the node to be removed.
  3. Move both pointers one step at a time until the
    first
    pointer reaches the end of the list.
  4. Adjust the
    next
    reference of the
    second
    pointer to skip the node to be removed.
  5. Return the modified list's head.
  6. By using a dummy node at the start, it simplifies scenarios where the head node itself might be removed.
    Detailed Steps in Pseudocode
    Let’s break it down step by step:
  7. Setup and Initialization : Create a dummy node and set two pointers (
    first
    and
    second
    ) to this dummy node.
  8. Advance the
    first
    pointer
    : Move the
    first
    pointer
    n + 1
    steps ahead. This ensures that the
    second
    pointer will end up right before the node we need to remove.
  9. Traverse the list : Move both pointers one step at a time until the
    first
    pointer reaches the end.
  10. Remove the node : Adjust the
    next
    reference of the
    second
    pointer to skip over the target node.
  11. Return the modified head : Return the
    next
    node of the dummy since the head could have been the one removed.
  12. Let's translate these steps into detailed pseudocode:
    Pseudocode
                                                
    # Define a ListNode class (for context, definition only)
    # class ListNode:
    #     def __init__(self, value=0, next_node=None):
    #         self.value = value
    #         self.next = next_node
    
    # Function to remove the nth node from the end of the list
    function removeNthFromEnd(head, n):
    
    # Step 1: Create a dummy node and set its next to the head of the list
    dummy_node = new ListNode(0)
    dummy_node.next = head
    
    # Initialize two pointers, both starting from the dummy node
    first_pointer = dummy_node
    second_pointer = dummy_node
    
    # Step 2: Move the first pointer n + 1 steps ahead
    for i from 1 to n + 1 do
    first_pointer = first_pointer.next
    
    # Step 3: Move both pointers until the first pointer reaches the end
    while first_pointer is not null do
    first_pointer = first_pointer.next
    second_pointer = second_pointer.next
    
    # Step 4: Remove the nth node from the end
    # second pointer is just before the node to be removed
    second_pointer.next = second_pointer.next.next
    
    # Step 5: Return the head of the modified list
    return dummy_node.next
    
                                            
    Step-by-Step Explanation in Pseudocode
  13. Initialization :
    • Create a new dummy node and set its
      next
      to point to the head of the list.
    • Initialize two pointers,
      first_pointer
      and
      second_pointer
      , both pointing to the dummy node.
    •                                             
      dummy_node = new ListNode(0)
      dummy_node.next = head
      first_pointer = dummy_node
      second_pointer = dummy_node
      
                                              
  14. Advance the first pointer :
    • Move the
      first_pointer
      n + 1
      steps ahead to ensure a gap of
      n
      nodes.
    •                                             
      for i from 1 to n + 1 do
      first_pointer = first_pointer.next
      
                                              
  15. Traverse the list :
    • Move both pointers one step at a time until
      first_pointer
      reaches the end of the list.
    •                                             
      while first_pointer is not null do
      first_pointer = first_pointer.next
      second_pointer = second_pointer.next
      
                                              
  16. Remove the nth node :
    • Adjust the
      next
      reference of
      second_pointer
      to skip the nth node.
    •                                             
      second_pointer.next = second_pointer.next.next
      
                                              
  17. Return the modified head :
    • Return the node following the dummy node.
    •                                             
      return dummy_node.next
      
                                              
Understanding these detailed steps and the accompanying comments in the pseudocode should help in grasping the methodology to solve this linked list manipulation problem efficiently.