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.
) and a reference to the next node (
). 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:
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
next
-
Use two pointers (
and
first).second -
Move the
pointer
firstpositions ahead so that when then+1pointer reaches the end, thefirstpointer will be positioned right before the node to be removed.second -
Move both pointers one step at a time until the
pointer reaches the end of the list.
first -
Adjust the
reference of the
nextpointer to skip the node to be removed.second - Return the modified list's head. By using a dummy node at the start, it simplifies scenarios where the head node itself might be removed.
-
Setup and Initialization
: Create a dummy node and set two pointers (
and
first) to this dummy node.second -
Advance the
pointer : Move the
firstpointerfirststeps ahead. This ensures that then + 1pointer will end up right before the node we need to remove.second -
Traverse the list
: Move both pointers one step at a time until the
pointer reaches the end.
first -
Remove the node
: Adjust the
reference of the
nextpointer to skip over the target node.second -
Return the modified head
: Return the
node of the dummy since the head could have been the one removed.
next
Let's translate these steps into detailed pseudocode:
- Initialization :
-
Create a new dummy node and set its
to point to the head of the list.
next -
Initialize two pointers,
and
first_pointer, both pointing to the dummy node.second_pointer - Advance the first pointer :
-
Move the
first_pointersteps ahead to ensure a gap ofn + 1nodes.n - Traverse the list :
-
Move both pointers one step at a time until
reaches the end of the list.
first_pointer - Remove the nth node :
-
Adjust the
reference of
nextto skip the nth node.second_pointer - Return the modified head :
- Return the node following the dummy node.
Detailed Steps in Pseudocode
Let’s break it down step by step: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
dummy_node = new ListNode(0)
dummy_node.next = head
first_pointer = dummy_node
second_pointer = dummy_node
for i from 1 to n + 1 do
first_pointer = first_pointer.next
while first_pointer is not null do
first_pointer = first_pointer.next
second_pointer = second_pointer.next
second_pointer.next = second_pointer.next.next
return dummy_node.next