Traversal Forward and Backward in DSA Go - Cheat Sheet & Quick Revision

Recall & Review

beginner

What does forward traversal mean in a linked list?

Forward traversal means moving from the first node to the last node, visiting each node one by one in order.

beginner

What is backward traversal in a doubly linked list?

Backward traversal means moving from the last node to the first node, visiting each node in reverse order using the previous links.

beginner

Why can't we do backward traversal easily in a singly linked list?

Because singly linked lists only have links to the next node, not to the previous one, so we cannot move backward without extra help.

beginner

In Go, how do you typically traverse a linked list forward?

You start from the head node and keep moving to the next node until you reach nil (end of list).

intermediate

What is the main benefit of having backward traversal in a linked list?

It allows easy reverse access to elements, which helps in tasks like undo operations or reverse printing.

Which linked list type supports easy backward traversal?

A Circular singly linked list

B Singly linked list

C Doubly linked list

D Array list

Only doubly linked lists have links to previous nodes, enabling backward traversal.

What is the first step in forward traversal of a linked list?

A Start from the last node

B Start from a random node

C Start from the middle node

D Start from the head node

Forward traversal always starts from the head (first) node.

In Go, what value indicates the end of a linked list during traversal?

A nil

B 0

C -1

D empty string

The next pointer is nil when there are no more nodes.

Why is backward traversal not possible in a singly linked list without extra work?

A Because nodes have no previous pointer

B Because nodes have no next pointer

C Because nodes are stored randomly

D Because nodes are immutable

Singly linked lists only have next pointers, no previous pointers.

Which operation benefits most from backward traversal?

A Adding a node at the front

B Printing list in reverse order

C Searching for a value

D Counting nodes

Backward traversal allows printing or processing nodes from end to start.

Explain how forward and backward traversal work in a doubly linked list.

Think about the direction of links in the list.

Describe why singly linked lists do not support backward traversal easily and how doubly linked lists solve this.

Focus on the pointers each node holds.

Practice

1. What does "Traversal Forward and Backward" mean in the context of a doubly linked list?

easy

A. Visiting nodes from the start to the end and then from the end back to the start

B. Only visiting nodes from the start to the end

C. Only visiting nodes from the end to the start

D. Skipping nodes randomly during traversal

Solution

1. Step 1: Understand forward traversal

   Forward traversal means visiting nodes starting from the first node and moving to the last node.

2. Step 2: Understand backward traversal

   Backward traversal means visiting nodes starting from the last node and moving back to the first node.

3. Final Answer:

   Visiting nodes from the start to the end and then from the end back to the start -> Option A

4. Quick Check:

   Traversal forward and backward = visiting nodes both ways [OK]

Hint: Think of walking forward then turning back [OK]

Common Mistakes:

• Confusing forward traversal with backward traversal
• Thinking traversal only goes one way
• Assuming traversal skips nodes

2. Which of the following Go code snippets correctly traverses a doubly linked list forward?

easy

A. for node := head; node != nil; node = node.prev { fmt.Println(node.value) }

B. for node := head; node != nil; node = node.next { fmt.Println(node.value) }

C. for node := tail; node != nil; node = node.next { fmt.Println(node.value) }

D. for node := tail; node != nil; node = node.prev { fmt.Println(node.value) }

Solution

1. Step 1: Identify forward traversal start point

   Forward traversal starts at the head (first node).

2. Step 2: Identify correct pointer for forward traversal

   Moving forward uses the next pointer, so node = node.next is correct.

3. Final Answer:

   for node := head; node != nil; node = node.next { fmt.Println(node.value) } -> Option B

4. Quick Check:

   Forward traversal uses head and next pointer [OK]

Hint: Forward traversal starts at head and uses next [OK]

Common Mistakes:

• Starting traversal at tail for forward direction
• Using prev pointer for forward traversal
• Confusing next and prev pointers

3. What is the output of the following Go code snippet that traverses a doubly linked list backward?

type Node struct {
  value int
  prev  *Node
  next  *Node
}

func main() {
  n1 := &Node{value: 1}
  n2 := &Node{value: 2}
  n3 := &Node{value: 3}
  n1.next = n2
  n2.prev = n1
  n2.next = n3
  n3.prev = n2

  for node := n3; node != nil; node = node.prev {
    fmt.Print(node.value, " ")
  }
}

medium

A. 3 1 2

B. 1 2 3

C. 3 2 1

D. 2 3 1

Solution

1. Step 1: Understand backward traversal start

   The loop starts at n3 (value 3) and moves backward using prev pointer.

2. Step 2: Trace the loop values

   First prints 3, then moves to n2 (2), prints 2, then moves to n1 (1), prints 1, then stops at nil.

3. Final Answer:

   3 2 1 -> Option C

4. Quick Check:

   Backward traversal prints 3 2 1 [OK]

Hint: Backward traversal prints values from tail to head [OK]

Common Mistakes:

• Confusing order of printing
• Starting traversal at head for backward
• Using next pointer instead of prev

4. Identify the error in the following Go code that attempts to traverse a doubly linked list backward:

for node := head; node != nil; node = node.prev {
  fmt.Println(node.value)
}

medium

A. Starting traversal at head but moving backward with prev pointer

B. Using fmt.Println instead of fmt.Print

C. Missing initialization of node variable

D. Loop condition should be node == nil

Solution

1. Step 1: Check traversal start and direction

   The code starts at head (first node) but moves backward using prev pointer, which is incorrect because head.prev is nil.

2. Step 2: Identify correct traversal logic

   Backward traversal should start at tail, not head, when moving with prev pointer.

3. Final Answer:

   Starting traversal at head but moving backward with prev pointer -> Option A

4. Quick Check:

   Backward traversal must start at tail [OK]

Hint: Backward traversal starts at tail, not head [OK]

Common Mistakes:

• Starting backward traversal at head
• Confusing loop condition
• Ignoring pointer directions

5. Given a doubly linked list, how would you print all elements first forward and then backward without repeating the last element twice in Go?

hard

A. Traverse backward printing all nodes, then traverse forward starting from head to tail

B. Traverse forward printing all nodes, then traverse backward starting from tail to head

C. Traverse forward printing all nodes, then traverse backward starting from head.prev to tail

D. Traverse forward printing all nodes, then traverse backward starting from tail.prev to head

Solution

1. Step 1: Traverse forward and print all nodes

   Start from head and print each node until tail inclusive.

2. Step 2: Traverse backward starting from tail.prev to avoid duplicate tail

   Start backward traversal from tail.prev to head to avoid printing tail twice.

3. Final Answer:

   Traverse forward printing all nodes, then traverse backward starting from tail.prev to head -> Option D

4. Quick Check:

   Skip last node in backward traversal to avoid duplicate print [OK]

Hint: Skip tail in backward traversal to avoid duplicate print [OK]

Common Mistakes:

• Printing tail twice by starting backward at tail
• Starting backward traversal incorrectly
• Confusing traversal directions