Get Length of Linked List in DSA C - Time & Space Complexity

Time Complexity: Get Length of Linked List

O(n)

Understanding Time Complexity

We want to know how long it takes to find the length of a linked list as the list grows.

The question is: how does the time needed change when the list gets bigger?

Scenario Under Consideration

Analyze the time complexity of the following code snippet.

int getLength(struct Node* head) {
    int count = 0;
    struct Node* current = head;
    while (current != NULL) {
        count++;
        current = current->next;
    }
    return count;
}
    

This code counts how many nodes are in a linked list by moving through each node one by one.

Identify Repeating Operations

Identify the loops, recursion, array traversals that repeat.

• Primary operation: The while loop that visits each node once.
• How many times: Exactly once per node in the list, from start to end.

How Execution Grows With Input

As the list gets longer, the time to count nodes grows directly with the number of nodes.

Input Size (n)	Approx. Operations
10	About 10 steps
100	About 100 steps
1000	About 1000 steps

Pattern observation: The steps increase in a straight line as the list size grows.

Final Time Complexity

Time Complexity: O(n)

This means the time to find the length grows directly with the number of nodes in the list.

Common Mistake

[X] Wrong: "The length can be found instantly without checking nodes."

[OK] Correct: Because a linked list does not store its size, you must visit each node to count them.

Interview Connect

Understanding this helps you explain how simple operations on linked lists work and shows you can analyze basic loops well.

Self-Check

"What if the linked list stored its length as a variable updated on insertions and deletions? How would the time complexity change?"

Practice

1. What does the function to get the length of a linked list typically do?

easy

A. Reverses the linked list

B. Deletes all nodes in the linked list

C. Finds the maximum value stored in the linked list

D. Counts the number of nodes by traversing from head to end

Solution

1. Step 1: Understand the linked list traversal

   The function starts at the head node and moves through each node until it reaches the end (null).

2. Step 2: Count each node visited

   Each time the function moves to the next node, it increases a counter by one.

3. Final Answer:

   Counts the number of nodes by traversing from head to end -> Option D

4. Quick Check:

   Length = number of nodes visited [OK]

Hint: Count nodes while moving from head to null [OK]

Common Mistakes:

• Confusing length with maximum value
• Trying to reverse the list instead
• Not traversing all nodes

2. Which of the following is the correct C syntax to declare a pointer to the head of a linked list node named head?

easy

A. struct Node* head;

B. struct Node &head;

C. Node head*;

D. struct Node head;

Solution

1. Step 1: Recall pointer declaration in C

   To declare a pointer to a struct Node, use struct Node* variableName;.

2. Step 2: Match with options

   struct Node* head; correctly declares head as a pointer to struct Node.

3. Final Answer:

   struct Node* head; -> Option A

4. Quick Check:

   Pointer syntax uses * after type [OK]

Hint: Pointer declaration uses * after type name [OK]

Common Mistakes:

• Forgetting the * for pointer
• Using & which is reference in C++ not C
• Incorrect order of * and variable name

3. What will be the output of the following C code snippet?

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

int getLength(struct Node* head) {
    int count = 0;
    while (head != NULL) {
        count++;
        head = head->next;
    }
    return count;
}

int main() {
    struct Node n3 = {30, NULL};
    struct Node n2 = {20, &n3};
    struct Node n1 = {10, &n2};
    printf("%d", getLength(&n1));
    return 0;
}

medium

A. 3

B. 2

C. 1

D. 0

Solution

1. Step 1: Analyze linked list nodes

   There are three nodes: n1 -> n2 -> n3 -> NULL.

2. Step 2: Count nodes in getLength function

   The function counts each node until it reaches NULL, so count = 3.

3. Final Answer:

   3 -> Option A

4. Quick Check:

   3 nodes counted from head to end [OK]

Hint: Count nodes until next is NULL [OK]

Common Mistakes:

• Counting only head node
• Off-by-one error in counting
• Confusing pointer addresses with count

4. Find the error in this C function to get the length of a linked list:

int getLength(struct Node* head) {
    int count = 0;
    while (head->next != NULL) {
        count++;
        head = head->next;
    }
    return count;
}

medium

A. It causes a segmentation fault immediately

B. It misses counting the last node

C. It counts nodes twice

D. It returns the data of the last node

Solution

1. Step 1: Understand the loop condition

   The loop runs while head->next != NULL, so it stops before the last node.

2. Step 2: Check counting logic

   Because it stops early, the last node is not counted, so count is one less than actual length.

3. Final Answer:

   It misses counting the last node -> Option B

4. Quick Check:

   Loop condition excludes last node [OK]

Hint: Use while(head != NULL) to count all nodes [OK]

Common Mistakes:

• Using head->next in loop condition
• Not handling empty list (NULL head)
• Incrementing count after loop ends

5. You have a linked list where some nodes may have next pointers forming a cycle (loop). How would you modify the length function to avoid infinite counting?

hard

A. Stop counting after 10 nodes to avoid infinite loop

B. Count nodes normally without any change

C. Use two pointers moving at different speeds to detect a cycle before counting

D. Set all next pointers to NULL before counting

Solution

1. Step 1: Detect cycle using two pointers

   Use Floyd's cycle detection: one pointer moves one step, another moves two steps to find a loop.

2. Step 2: If cycle detected, handle counting carefully

   Once a cycle is found, count nodes up to the cycle start to avoid infinite counting.

3. Final Answer:

   Use two pointers moving at different speeds to detect a cycle before counting -> Option C

4. Quick Check:

   Cycle detection prevents infinite loops [OK]

Hint: Detect cycle first with slow and fast pointers [OK]

Common Mistakes:

• Ignoring cycle causes infinite loop
• Stopping count arbitrarily without detection
• Modifying list structure destructively