Why Merge Two Sorted Linked Lists in DSA C++?

The Big Idea

What if you could combine two sorted lists perfectly without lifting a finger or making a mistake?

The Scenario

Imagine you have two lists of names sorted alphabetically on paper. You want to combine them into one sorted list without messing up the order.

Doing this by hand means comparing each name one by one and writing them down in order.

The Problem

Manually comparing each item is slow and easy to make mistakes, especially if the lists are long.

You might lose track of which names you already added or accidentally put names out of order.

The Solution

Using the "Merge Two Sorted Linked Lists" method, a computer can quickly and correctly combine two sorted lists by comparing their elements step-by-step.

This method keeps the order intact and avoids mistakes by always picking the smallest next item.

Before vs After

✗ Before

while(i < n && j < m) {
  if(list1[i] < list2[j]) {
    merged.push_back(list1[i++]);
  } else {
    merged.push_back(list2[j++]);
  }
}
while(i < n) {
  merged.push_back(list1[i++]);
}
while(j < m) {
  merged.push_back(list2[j++]);
}

✓ After

ListNode* merge(ListNode* l1, ListNode* l2) {
  if(!l1) return l2;
  if(!l2) return l1;
  if(l1->val < l2->val) {
    l1->next = merge(l1->next, l2);
    return l1;
  } else {
    l2->next = merge(l1, l2->next);
    return l2;
  }
}

What It Enables

This lets you combine sorted data quickly and correctly, which is key for many programs like searching, sorting, and managing data.

Real Life Example

Think about merging two sorted contact lists on your phone after syncing from two different accounts, so all contacts stay in order without duplicates.

Key Takeaways

Manual merging is slow and error-prone.

Merge Two Sorted Linked Lists automates and simplifies this process.

It keeps the combined list sorted efficiently.

Practice

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

easy

A. Sort each list separately before merging

B. Reverse the order of nodes in both lists

C. Combine nodes from both lists maintaining sorted order

D. Remove duplicate nodes from both lists

Solution

1. Step 1: Understand the merge operation

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

2. Step 2: Maintain sorted order during merge

   We pick the smaller node from the heads of both lists repeatedly to keep the merged list sorted.

3. Final Answer:

   Combine nodes from both lists maintaining sorted order -> Option C

4. Quick Check:

   Merge = Combine sorted lists [OK]

Hint: Always pick the smaller node first to keep order [OK]

Common Mistakes:

• Trying to reverse lists instead of merging
• Sorting lists again after merging
• Ignoring order and just concatenating

2. Which of the following is the correct way to declare a node structure for a singly linked list in C++?

easy

A. struct Node { int data; Node next; };

B. class Node { int data; Node next; };

C. class Node { int data; Node* next; };

D. struct Node { int data; Node* next; };

Solution

1. Step 1: Understand node structure in C++

   A node should have data and a pointer to the next node.

2. Step 2: Check pointer usage

   Using Node* next is correct to point to the next node; Node next would cause infinite size error.

3. Final Answer:

   struct Node { int data; Node* next; }; -> Option D

4. Quick Check:

   Node pointer = Node* next [OK]

Hint: Use pointers for next node in linked list [OK]

Common Mistakes:

• Using object instead of pointer for next node
• Missing semicolon after struct
• Using class without access specifier

3. What will be the output linked list after merging these two sorted lists?
List1: 1 -> 3 -> 5 -> null
List2: 2 -> 4 -> 6 -> null
Using a standard merge algorithm?

medium

A. 1 -> 2 -> 3 -> 4 -> 5 -> 6 -> null

B. 1 -> 3 -> 5 -> 2 -> 4 -> 6 -> null

C. 2 -> 4 -> 6 -> 1 -> 3 -> 5 -> null

D. 1 -> 2 -> 4 -> 3 -> 5 -> 6 -> null

Solution

1. Step 1: Compare heads of both lists

   Start with 1 (List1) and 2 (List2). 1 is smaller, so first node is 1.

2. Step 2: Continue picking smaller nodes

   Next compare 3 and 2, pick 2; then 3 and 4, pick 3; then 5 and 4, pick 4; then 5 and 6, pick 5; finally 6.

3. Final Answer:

   1 -> 2 -> 3 -> 4 -> 5 -> 6 -> null -> Option A

4. Quick Check:

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

Hint: Pick smaller head node repeatedly [OK]

Common Mistakes:

• Appending one list after the other without sorting
• Mixing node order incorrectly
• Skipping nodes during merge

4. Given the following code snippet to merge two sorted linked lists, what is the error?

Node* merge(Node* l1, Node* l2) {
  if (!l1) return l2;
  if (!l2) return l1;
  if (l1->data < l2->data) {
    l1->next = merge(l1->next, l2);
    return l1;
  } else {
    l2->next = merge(l1, l2->next);
    return l2;
  }
}

medium

A. No error, code correctly merges two sorted lists

B. Missing base case for empty lists

C. Incorrect comparison operator used

D. Function does not handle cyclic lists

Solution

1. Step 1: Check base cases

   Code returns the other list if one is empty, which is correct.

2. Step 2: Check recursive merge logic

   It compares data correctly and recursively merges the rest, returning the smaller node.

3. Final Answer:

   No error, code correctly merges two sorted lists -> Option A

4. Quick Check:

   Recursive merge logic correct [OK]

Hint: Check base cases and recursion carefully [OK]

Common Mistakes:

• Forgetting to return merged list
• Wrong base case conditions
• Using wrong pointers in recursion

5. You have two sorted linked lists:
List1: 1 -> 4 -> 5 -> 7 -> null
List2: 2 -> 3 -> 6 -> 8 -> 9 -> null
Write the merged list after merging them. Then, if you want to remove duplicates from the merged list, what will be the final list?
Assume duplicates can appear after merge.

hard

A. Merged: 1 -> 4 -> 5 -> 7 -> 2 -> 3 -> 6 -> 8 -> 9 -> null; After removing duplicates: 1 -> 2 -> 3 -> 4 -> 5 -> 6 -> 7 -> 8 -> 9 -> null

B. Merged: 1 -> 2 -> 3 -> 4 -> 5 -> 6 -> 7 -> 8 -> 9 -> null; After removing duplicates: 1 -> 2 -> 3 -> 4 -> 5 -> 6 -> 7 -> 8 -> 9 -> null

C. Merged: 1 -> 2 -> 3 -> 4 -> 5 -> 6 -> 7 -> 8 -> 9 -> null; After removing duplicates: 1 -> 2 -> 3 -> 4 -> 5 -> null

D. Merged: 1 -> 2 -> 3 -> 4 -> 5 -> 6 -> 7 -> 8 -> 9 -> null; After removing duplicates: 1 -> 4 -> 5 -> 7 -> 2 -> 3 -> 6 -> 8 -> 9 -> null

Solution

1. Step 1: Merge both sorted lists

   Pick nodes in order: 1,2,3,4,5,6,7,8,9 forming a sorted merged list.

2. Step 2: Remove duplicates if any

   Since all values are unique, the list remains the same after removing duplicates.

3. Final Answer:

   Merged: 1 -> 2 -> 3 -> 4 -> 5 -> 6 -> 7 -> 8 -> 9 -> null; After removing duplicates: 1 -> 2 -> 3 -> 4 -> 5 -> 6 -> 7 -> 8 -> 9 -> null -> Option B

4. Quick Check:

   Sorted merge with unique values [OK]

Hint: Merge sorted, then remove duplicates if any [OK]

Common Mistakes:

• Concatenating lists without sorting
• Assuming duplicates always exist
• Removing nodes incorrectly