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

Recall & Review

beginner

What does 'Traversal Forward' mean in a doubly linked list?

Traversal Forward means moving from the first node (head) to the last node (tail) by following the 'next' pointers in the list.

beginner

What does 'Traversal Backward' mean in a doubly linked list?

Traversal Backward means moving from the last node (tail) to the first node (head) by following the 'prev' pointers in the list.

intermediate

Why is a doubly linked list suitable for both forward and backward traversal?

Because each node has two pointers: one to the next node and one to the previous node, allowing easy movement in both directions.

beginner

In C, which pointers do you use to traverse forward and backward in a doubly linked list node?

Use the 'next' pointer to traverse forward and the 'prev' pointer to traverse backward.

beginner

What is the stopping condition when traversing forward in a doubly linked list?

Stop when the current node is NULL, meaning you reached the end of the list.

Which pointer do you follow to move backward in a doubly linked list?

A next

B head

C tail

D prev

The 'prev' pointer points to the previous node, so following it moves backward.

What is the first node called in a doubly linked list?

A middle

B tail

C head

D root

The first node is called the head.

When traversing forward, what indicates the end of the list?

A next == NULL

B tail == NULL

C head == NULL

D prev == NULL

The 'next' pointer being NULL means no more nodes ahead.

Which traversal direction starts at the tail node?

A Forward

B Backward

C Random

D Circular

Backward traversal starts at the tail and moves to the head.

In C, how do you access the next node from a current node pointer 'curr'?

A curr->next

B curr->prev

C *curr.next

D curr.next

Use 'curr->next' to access the next node pointer in C.

Explain how you would traverse a doubly linked list forward and print each node's data.

Think about moving from the first node to the last using the next pointers.

Describe the steps to traverse a doubly linked list backward and why this is possible.

Remember the special pointer that points to the previous node.

Practice

1. What does forward traversal in a linked list mean?

easy

A. Visiting nodes from the first node to the last node

B. Visiting nodes from the last node to the first node

C. Skipping every alternate node while visiting

D. Visiting nodes randomly

Solution

1. Step 1: Understand forward traversal

   Forward traversal means starting at the first node and moving to the next node repeatedly until the end.

2. Step 2: Compare with options

   Only Visiting nodes from the first node to the last node describes visiting nodes from first to last, which matches forward traversal.

3. Final Answer:

   Visiting nodes from the first node to the last node -> Option A

4. Quick Check:

   Forward traversal = first to last [OK]

Hint: Forward means start to end in order [OK]

Common Mistakes:

• Confusing forward with backward traversal
• Thinking traversal is random
• Assuming skipping nodes is traversal

2. Which of the following is the correct syntax to traverse a singly linked list forward in C?

easy

A. for(Node* curr = head; curr != NULL; curr = curr->prev) { /* process curr */ }

B. for(Node* curr = head; curr != NULL; curr = curr->next) { /* process curr */ }

C. while(head != NULL) { head = head->prev; }

D. for(Node* curr = tail; curr != NULL; curr = curr->prev) { /* process curr */ }

Solution

1. Step 1: Identify forward traversal syntax

   Forward traversal in singly linked list uses next pointer starting from head.

2. Step 2: Check options for correct pointer usage

   for(Node* curr = head; curr != NULL; curr = curr->next) { /* process curr */ } uses curr = curr->next starting from head, which is correct.

3. Final Answer:

   for(Node* curr = head; curr != NULL; curr = curr->next) { /* process curr */ } -> Option B

4. Quick Check:

   Use next pointer from head for forward traversal [OK]

Hint: Use next pointer from head for forward traversal [OK]

Common Mistakes:

• Using prev pointer in singly linked list
• Starting from tail in singly linked list
• Using incorrect loop conditions

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

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

void printBackward(Node* tail) {
  Node* curr = tail;
  while(curr != NULL) {
    printf("%d ", curr->data);
    curr = curr->prev;
  }
}

// List: 1 <-> 2 <-> 3, tail points to node with data 3
printBackward(tail);

medium

A. 1 2 3

B. 3 1 2

C. 3 2 1

D. 2 3 1

Solution

1. Step 1: Understand backward traversal in doubly linked list

   Starting from tail (3), moving prev pointer visits nodes 3, 2, then 1.

2. Step 2: Trace the output

   Prints 3, then 2, then 1 with spaces.

3. Final Answer:

   3 2 1 -> Option C

4. Quick Check:

   Backward traversal prints tail to head [OK]

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

Common Mistakes:

• Confusing order of printing
• Using next pointer instead of prev
• Starting from head instead of tail

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

void traverseBackward(Node* tail) {
  Node* curr = tail;
  while(curr->next != NULL) {
    printf("%d ", curr->data);
    curr = curr->prev;
  }
}

medium

A. The printf statement is missing a newline character

B. The pointer curr should start from head, not tail

C. The code should use curr = curr->next instead of curr = curr->prev

D. The loop condition should check curr != NULL, not curr->next != NULL

Solution

1. Step 1: Analyze loop condition for backward traversal

   Backward traversal moves using prev pointer until curr becomes NULL.

2. Step 2: Identify incorrect condition

   Checking curr->next != NULL is wrong; it should be curr != NULL to avoid null pointer access.

3. Final Answer:

   The loop condition should check curr != NULL, not curr->next != NULL -> Option D

4. Quick Check:

   Loop until curr is NULL in backward traversal [OK]

Hint: Check curr != NULL in loops, not curr->next for backward traversal [OK]

Common Mistakes:

• Using next pointer condition in backward traversal
• Starting from head instead of tail
• Ignoring null pointer checks

5. Given a doubly linked list with nodes containing integers, write a function to print the list forward and then backward without using extra space. Which approach correctly achieves this?

hard

A. Traverse from head to tail printing data, then traverse from tail to head printing data

B. Traverse from head to tail printing data twice

C. Traverse from tail to head printing data, then traverse from head to tail printing data

D. Traverse from head to tail printing data, then reverse the list and print forward again

Solution

1. Step 1: Understand traversal without extra space

   Use existing next and prev pointers to traverse forward and backward.

2. Step 2: Identify correct approach

   Traverse from head to tail printing data, then traverse from tail to head printing data correctly traverses forward from head to tail, then backward from tail to head printing data without modifying list.

3. Final Answer:

   Traverse from head to tail printing data, then traverse from tail to head printing data -> Option A

4. Quick Check:

   Use head and tail pointers for forward and backward traversal [OK]

Hint: Print forward from head, backward from tail without changing list [OK]

Common Mistakes:

• Reversing list unnecessarily
• Printing forward twice
• Using extra space like arrays or stacks