Merge Two Sorted Lists

To solve this coding challenge, we need to merge two sorted linked lists into a single sorted linked list. We will use a dummy node approach to simplify the process. Below is a detailed explanation of the methodology and pseudocode to solve this.

Explanation

The task requires merging two sorted linked lists into one sorted list, where the given linked lists are already sorted in non-decreasing order. The main idea is to iterate through both lists, comparing their current elements, and appending the smaller element to the result list. First, a dummy node is used as a starting point for the merged list. This makes it easier to handle edge cases, like when one or both input lists are empty. A pointer starts at the dummy node and is used to build our new sorted list. We then enter a loop where we compare the values at the heads of both lists. The smaller value is appended to the merged list, and we move the pointer in the list from which the element was taken. This process continues until we have processed all elements from both lists. Finally, if any elements remain in either list (because one list could be longer than the other), they are appended to the merged list since the remaining elements are already sorted.

Pseudocode with comments

                                            
// Define a class for the linked list nodes
class ListNode:
    function __init__(self, value=0, next=None):
        this.value = value       // Value of the node
        this.next = next         // Pointer to the next node

// Define the function to merge two sorted linked lists
function mergeTwoLists(list1, list2):
    // Create a dummy node to serve as the starting point of the merged list
    dummyNode = ListNode(0)
    
    // Create a pointer for the dummy node
    current = dummyNode

    // Loop until one of the lists runs out of elements
    while list1 is not null and list2 is not null:
        // Compare the values at the heads of both lists
        if list1.value < list2.value:
            current.next = list1  // Append list1's node to the merged list
            list1 = list1.next    // Move to the next node in list1
        else:
            current.next = list2  // Append list2's node to the merged list
            list2 = list2.next    // Move to the next node in list2
        
        // Move the current pointer to the next node
        current = current.next
    
    // If elements remain in list1, append them to the merged list
    if list1 is not null:
        current.next = list1
    
    // If elements remain in list2, append them to the merged list
    if list2 is not null:
        current.next = list2
    
    // Return the head of the merged list, which is the next node of our dummy node
    return dummyNode.next

                                        

Step-by-Step Explanation/Detailed Steps in Pseudocode

  1. Define ListNode Class:
    • Construct the
      ListNode
      class with attributes for value and the next node pointer.
  2. Create a Dummy Node:
    • Initialize a dummy node. This serves as the placeholder for the beginning of the merged list, making it easier to return the list at the end.
  3. Initialize a Pointer:
    • Initialize
      current
      as a pointer to the dummy node. It will traverse and build the merged list.
  4. Traverse and Compare Nodes:
    • Use a loop to go through both lists until one of them is exhausted.
    • Within the loop, compare the current values of
      list1
      and
      list2
      .
    • Append the smaller node to the merged list using
      current.next
      .
    • Move the pointer in the list from which the node was appended.
    • Move
      current
      to
      current.next
      .
  5. Handle Remaining Nodes:
    • After exiting the loop, check if any nodes remain in
      list1
      . If yes, append them since they are already sorted.
    • Similarly, check if any nodes remain in
      list2
      and append them.
  6. Return Merged List:
    • Return the merged list starting from
      dummyNode.next
      , skipping the dummy node itself since it was just a placeholder.
By following this structured approach, we can efficiently merge two sorted linked lists into one sorted list.