Merge Two Sorted Linked Lists in DSA Javascript - Cheat Sheet & Quick Revision

Recall & Review

beginner

What is the main goal when merging two sorted linked lists?

To create a new linked list that contains all nodes from both lists in sorted order without changing the original nodes' order.

beginner

In merging two sorted linked lists, why do we compare the current nodes of both lists?

We compare to decide which node has the smaller value so it can be added next to the merged list, keeping the merged list sorted.

intermediate

What happens when one linked list is fully traversed before the other during merging?

The remaining nodes of the other list are directly attached to the merged list because they are already sorted.

intermediate

Why is a dummy node often used in merging two sorted linked lists?

A dummy node simplifies the code by providing a fixed starting point for the merged list, avoiding special cases for the head node.

intermediate

What is the time complexity of merging two sorted linked lists with lengths m and n?

O(m + n) because each node from both lists is visited exactly once during the merge.

What is the first step when merging two sorted linked lists?

A Reverse both lists

B Compare the first nodes of both lists

C Create a new empty list and add all nodes from the first list

D Delete duplicate nodes

We start by comparing the first nodes to decide which node to add first to the merged list.

What do you do when the current node of list1 has a smaller value than list2's current node?

A Add list2's node to merged list

B Skip both nodes

C Swap the nodes

D Add list1's node to merged list

We add the smaller node (list1's node) to keep the merged list sorted.

If list1 is empty but list2 still has nodes, what should you do?

A Stop merging

B Remove nodes from list2

C Add remaining nodes of list2 to merged list

D Restart merging

Remaining nodes of list2 are already sorted and can be added directly.

Why is a dummy node helpful in merging linked lists?

A It helps avoid handling special cases for the head node

B It stores the largest value

C It reverses the list

D It deletes duplicates

A dummy node provides a fixed start point, simplifying pointer management.

What is the overall time complexity of merging two sorted linked lists?

A O(m + n)

B O(1)

C O(m^2 + n^2)

D O(m * n)

Each node is visited once, so the time is proportional to the sum of lengths.

Explain step-by-step how to merge two sorted linked lists into one sorted linked list.

Think about walking through both lists like two friends walking side by side, picking the smaller step each time.

Describe why using a dummy node simplifies merging two sorted linked lists.

Imagine a placeholder friend holding the start of the line so you don't lose track.

Practice

1. What is the main goal when merging two sorted linked lists?

easy

A. To find the largest element in both lists

B. To reverse both linked lists

C. To create a new sorted linked list containing all elements from both lists

D. To delete duplicate elements from both lists

Solution

1. Step 1: Understand the merging process

   Merging means combining two lists into one while keeping the order sorted.

2. Step 2: Identify the goal of merging sorted lists

   The goal is to create a new sorted list that contains all elements from both lists without changing their order.

3. Final Answer:

   To create a new sorted linked list containing all elements from both lists -> Option C

4. Quick Check:

   Merging = combining sorted lists [OK]

Hint: Merging means combining sorted lists into one sorted list [OK]

Common Mistakes:

• Thinking merging reverses the lists
• Confusing merging with finding max element
• Assuming duplicates are removed automatically

2. Which of the following is the correct way to start merging two sorted linked lists in JavaScript?

easy

A. let dummy = new ListNode(0); let current = dummy;

B. let dummy = new ListNode(); let current = dummy.next;

C. let dummy = 0; let current = dummy;

D. let current = null; let dummy = current;

Solution

1. Step 1: Initialize a dummy node correctly

   We create a dummy node with a value (usually 0) to start the merged list.

2. Step 2: Set a pointer to track the current node

   We set current to dummy to build the merged list from dummy onwards.

3. Final Answer:

   let dummy = new ListNode(0); let current = dummy; -> Option A

4. Quick Check:

   Dummy node initialization = let dummy = new ListNode(0); let current = dummy; [OK]

Hint: Start with dummy node and current pointer for easy list building [OK]

Common Mistakes:

• Using primitive 0 instead of ListNode object
• Swapping dummy and current incorrectly
• Setting current or dummy to null initially

3. What will be the merged linked list after running the following code?

function ListNode(val, next = null) { this.val = val; this.next = next; }

let l1 = new ListNode(1, new ListNode(3, new ListNode(5)));
let l2 = new ListNode(2, new ListNode(4, new ListNode(6)));

function mergeTwoLists(l1, l2) {
  let dummy = new ListNode(0);
  let current = dummy;
  while (l1 && l2) {
    if (l1.val < l2.val) {
      current.next = l1;
      l1 = l1.next;
    } else {
      current.next = l2;
      l2 = l2.next;
    }
    current = current.next;
  }
  current.next = l1 || l2;
  return dummy.next;
}

let merged = mergeTwoLists(l1, l2);

let result = [];
while (merged) {
  result.push(merged.val);
  merged = merged.next;
}
console.log(result);

medium

A. [1, 3, 5, 2, 4, 6]

B. [1, 2, 3, 4, 5, 6]

C. [2, 4, 6, 1, 3, 5]

D. [6, 5, 4, 3, 2, 1]

Solution

1. Step 1: Trace the merging loop

   Compare nodes: 1 < 2, add 1; 3 > 2, add 2; 3 < 4, add 3; 5 > 4, add 4; 5 < 6, add 5; then add remaining 6.

2. Step 2: Collect merged list values

   The merged list values in order are [1, 2, 3, 4, 5, 6].

3. Final Answer:

   [1, 2, 3, 4, 5, 6] -> Option B

4. Quick Check:

   Sorted merge result = [1, 2, 3, 4, 5, 6] [OK]

Hint: Compare heads, pick smaller, move pointer, repeat [OK]

Common Mistakes:

• Appending entire list instead of node by node
• Not updating current pointer after adding node
• Mixing order of nodes in merged list

4. Identify the bug in this merge function and select the fix:

function mergeTwoLists(l1, l2) {
  let dummy = new ListNode(0);
  let current = dummy;
  while (l1 !== null || l2 !== null) {
    if (l1.val < l2.val) {
      current.next = l1;
      l1 = l1.next;
    } else {
      current.next = l2;
      l2 = l2.next;
    }
    current = current.next;
  }
  return dummy.next;
}

medium

A. Initialize dummy with null instead of 0

B. Add check for null before comparing l1.val and l2.val

C. Remove current = current.next inside the loop

D. Change while condition to 'while (l1 && l2)'

Solution

1. Step 1: Analyze the while loop condition

   The loop uses '||' which allows l1 or l2 to be null, causing errors when accessing val.

2. Step 2: Fix the loop condition

   Changing the condition to 'while (l1 && l2)' ensures both lists have nodes before accessing val.

3. Final Answer:

   Change while condition to 'while (l1 && l2)' -> Option D

4. Quick Check:

   Loop condition with && prevents null pointer errors [OK]

Hint: Use && in loop condition to ensure both nodes exist before access [OK]

Common Mistakes:

• Using || instead of && in loop condition without null checks
• Forgetting to move current pointer
• Initializing dummy with wrong value type

5. Given two sorted linked lists where one is empty and the other is 1 -> 2 -> 3 -> null, what is the merged list?

medium

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

B. Error due to empty list

C. 3 -> 2 -> 1 -> null

D. null

Solution

1. Step 1: Understand merging with an empty list

   If one list is empty, the merged list is just the other list unchanged.

2. Step 2: Apply this to given lists

   Since one list is empty and the other is 1 -> 2 -> 3 -> null, the merged list is 1 -> 2 -> 3 -> null.

3. Final Answer:

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

4. Quick Check:

   Merging with empty list returns the non-empty list [OK]

Hint: Empty list merged with sorted list returns the sorted list [OK]

Common Mistakes:

• Assuming error occurs when one list is empty
• Reversing the non-empty list mistakenly
• Returning null instead of the non-empty list