Traversal and Printing a Linked List in DSA Go - Time & Space Complexity

Time Complexity: Traversal and Printing a Linked List

O(n)

Understanding Time Complexity

When we walk through a linked list to print its values, we want to know how long it takes as the list grows.

We ask: How does the time to print all nodes change when the list gets bigger?

Scenario Under Consideration

Analyze the time complexity of the following code snippet.

// Node represents a linked list node
 type Node struct {
     value int
     next  *Node
 }

 func printList(head *Node) {
     current := head
     for current != nil {
         fmt.Println(current.value)
         current = current.next
     }
 }
    

This code walks through each node in the linked list and prints its value one by one.

Identify Repeating Operations

Identify the loops, recursion, array traversals that repeat.

• Primary operation: Visiting each node once to print its value.
• How many times: Exactly once per node, so as many times as there are nodes in the list.

How Execution Grows With Input

As the list grows, the number of print operations grows directly with the number of nodes.

Input Size (n)	Approx. Operations
10	10 visits and prints
100	100 visits and prints
1000	1000 visits and prints

Pattern observation: The operations increase in a straight line as the list size increases.

Final Time Complexity

Time Complexity: O(n)

This means the time to print the list grows directly with the number of nodes.

Common Mistake

[X] Wrong: "Printing a linked list is faster than O(n) because we just follow pointers."

[OK] Correct: Even though we follow pointers, we must visit every node once, so time grows with the list size.

Interview Connect

Understanding this simple traversal helps build confidence for more complex linked list problems.

Self-Check

"What if we wanted to print only every second node? How would the time complexity change?"

Practice

1. What is the main purpose of traversing a linked list?

easy

A. To create a new linked list from scratch

B. To delete all nodes at once

C. To visit each node in the list one by one

D. To reverse the list without visiting nodes

Solution

1. Step 1: Understand traversal meaning

   Traversal means going through each node in order, starting from the head.

2. Step 2: Purpose of traversal

   Visiting each node allows us to read or process data stored in the list.

3. Final Answer:

   To visit each node in the list one by one -> Option C

4. Quick Check:

   Traversal = visiting nodes [OK]

Hint: Traversal means visiting nodes one by one [OK]

Common Mistakes:

• Confusing traversal with deletion
• Thinking traversal creates a new list
• Assuming traversal reverses the list

2. Which of the following is the correct way to start traversing a singly linked list in Go?

easy

A. for node := head; node != nil; node = node.next {}

B. for node := head; node == nil; node = node.next {}

C. for node := nil; node != head; node = node.next {}

D. for node := head.next; node != nil; node = node.prev {}

Solution

1. Step 1: Identify correct loop start and condition

   Traversal starts at head and continues while node is not nil.

2. Step 2: Correct pointer update

   Move to next node by node = node.next each iteration.

3. Final Answer:

   for node := head; node != nil; node = node.next {} -> Option A

4. Quick Check:

   Start at head, loop until nil, move next [OK]

Hint: Start at head, loop until nil, move to next [OK]

Common Mistakes:

• Using node == nil as loop condition (wrong)
• Starting from nil instead of head
• Using node.prev in singly linked list

3. What will be the output of the following Go code snippet that traverses and prints a linked list?

type Node struct {
  value int
  next  *Node
}

func main() {
  n3 := &Node{3, nil}
  n2 := &Node{2, n3}
  n1 := &Node{1, n2}
  for node := n1; node != nil; node = node.next {
    fmt.Print(node.value, " -> ")
  }
  fmt.Print("nil")
}

medium

A. 3 -> 2 -> 1 -> nil

B. 1 2 3 nil

C. nil -> 1 -> 2 -> 3

D. 1 -> 2 -> 3 -> nil

Solution

1. Step 1: Understand list structure

   n1 points to n2, n2 points to n3, n3 points to nil. Values are 1, 2, 3 in order.

2. Step 2: Trace the loop output

   Loop prints node.value followed by ' -> ' for each node: 1 -> 2 -> 3 -> then prints 'nil'.

3. Final Answer:

   1 -> 2 -> 3 -> nil -> Option D

4. Quick Check:

   Print order matches list order [OK]

Hint: Print nodes in order, end with nil [OK]

Common Mistakes:

• Printing values in reverse order
• Missing '->' arrows
• Printing nil at start instead of end

4. Identify the error in this Go code snippet that tries to print a linked list:

type Node struct {
  value int
  next  *Node
}

func printList(head *Node) {
  node := head
  for node != nil {
    fmt.Println(node.value)
    node = node.prev
  }
}

medium

A. Using 'node.prev' which doesn't exist in singly linked list

B. Missing initialization of 'node' variable

C. Incorrect loop condition 'node != nil' causes infinite loop

D. fmt.Println cannot print integers directly

Solution

1. Step 1: Check struct fields

   Node struct has 'next' pointer but no 'prev' pointer.

2. Step 2: Identify incorrect pointer usage

   Code uses 'node = node.prev' which is invalid and causes compile error.

3. Final Answer:

   Using 'node.prev' which doesn't exist in singly linked list -> Option A

4. Quick Check:

   prev pointer missing in singly linked list [OK]

Hint: Singly linked list has only 'next', not 'prev' [OK]

Common Mistakes:

• Using prev pointer in singly linked list
• Assuming fmt.Println can't print ints
• Thinking loop condition is wrong

5. Given a singly linked list, how would you modify the traversal code to print only the nodes with even values?

func printEven(head *Node) {
  for node := head; node != nil; node = node.next {
    // Your code here
  }
}

hard

A. Use 'if node.value == 0 { fmt.Print(node.value) }' inside the loop

B. Add 'if node.value%2 == 0 { fmt.Print(node.value, " -> ") }' inside the loop

C. Change loop to 'for node := head; node.value%2 == 0; node = node.next {}'

D. Print all nodes and then filter even values after traversal

Solution

1. Step 1: Use conditional inside traversal

   Check if node.value is even using modulo operator inside the loop.

2. Step 2: Print only even values

   Print node.value with arrow only if condition is true.

3. Final Answer:

   Add 'if node.value%2 == 0 { fmt.Print(node.value, " -> ") }' inside the loop -> Option B

4. Quick Check:

   Condition inside loop filters even nodes [OK]

Hint: Use if condition inside loop to filter even values [OK]

Common Mistakes:

• Changing loop condition incorrectly
• Checking equality to zero instead of evenness
• Printing all nodes then filtering later