Left Side View of Binary Tree in DSA C - Cheat Sheet & Quick Revision

Recall & Review

beginner

What is the Left Side View of a Binary Tree?

It is the list of nodes visible when the tree is seen from the left side. Only the first node at each level from the left is included.

beginner

Which tree traversal method is commonly used to find the Left Side View?

Level order traversal (Breadth-First Search) is commonly used because it processes nodes level by level, making it easy to pick the first node at each level.

beginner

In C, what data structure is typically used to implement level order traversal for the Left Side View?

A queue is used to hold nodes of each level in order, allowing processing from left to right at each level.

beginner

Why do we only pick the first node at each level for the Left Side View?

Because the first node at each level is the leftmost node visible from the left side, other nodes at the same level are hidden behind it.

intermediate

What is the time complexity of finding the Left Side View of a binary tree?

The time complexity is O(n), where n is the number of nodes, because each node is visited once during traversal.

What data structure is best to use for level order traversal in C?

A Array

B Queue

C Stack

D Linked List

Queue allows processing nodes in the order they appear level by level, which is essential for level order traversal.

Which node is included in the Left Side View at each level?

A The rightmost node

B The last node visited

C The leftmost node

D The root node only

The leftmost node at each level is visible from the left side and included in the Left Side View.

What is the main traversal technique used to get the Left Side View?

A Level Order Traversal

B Preorder Traversal

C Postorder Traversal

D Depth First Search

Level Order Traversal visits nodes level by level, making it easy to pick the first node at each level.

If a binary tree has 10 nodes, what is the time complexity to find its Left Side View?

A O(n^2)

B O(log n)

C O(1)

D O(n)

Each node is visited once, so the time complexity is linear, O(n).

Which of these is NOT true about the Left Side View of a binary tree?

A It includes all nodes at each level

B It can be found using level order traversal

C It shows the first node at each level from the left

D It represents what is visible from the left side

The Left Side View includes only the first (leftmost) node at each level, not all nodes.

Explain how to find the Left Side View of a binary tree using level order traversal.

Think about how you see the tree from the left side and how level order traversal helps.

Describe why only the first node at each level is included in the Left Side View.

Imagine standing on the left side of the tree and looking straight.

Practice

1. What does the Left Side View of a binary tree represent?

easy

A. Nodes visible when the tree is viewed from the left side

B. Nodes visible when the tree is viewed from the right side

C. All leaf nodes of the tree

D. Nodes at the deepest level of the tree

Solution

1. Step 1: Understand the view concept

   The left side view shows nodes visible when looking at the tree from the left side.

2. Step 2: Differentiate from other views

   Right side view shows nodes from the right, leaf nodes are only the bottom nodes, and deepest level nodes are not necessarily visible from left.

3. Final Answer:

   Nodes visible when the tree is viewed from the left side -> Option A

4. Quick Check:

   Left side view = nodes visible from left [OK]

Hint: Left side view shows first node at each level from left [OK]

Common Mistakes:

• Confusing left side view with right side view
• Thinking it shows all leaf nodes
• Assuming it shows deepest nodes only

2. Which of the following C code snippets correctly declares a binary tree node structure for computing the left side view?

easy

A. struct Node { int data; struct Node left; struct Node right; };

B. typedef struct Node { int data; struct Node* left; struct Node* right; } Node;

C. struct Node { int data; Node* left; Node* right; }; typedef Node;

D. typedef struct { int data; struct Node* left; struct Node* right; } Node;

Solution

1. Step 1: Check correct struct declaration

   typedef struct Node { int data; struct Node* left; struct Node* right; } Node; correctly declares a struct with pointers to left and right child nodes.

2. Step 2: Identify errors in other options

   struct Node { int data; Node* left; Node* right; }; typedef Node; misses struct keyword before Node pointers, C uses struct Node instead of pointers causing infinite size, D misses struct name for pointers.

3. Final Answer:

   typedef struct Node { int data; struct Node* left; struct Node* right; } Node; -> Option B

4. Quick Check:

   Correct struct with pointers = typedef struct Node { int data; struct Node* left; struct Node* right; } Node; [OK]

Hint: Use pointers for left and right child nodes in struct [OK]

Common Mistakes:

• Using struct members instead of pointers causing infinite size
• Missing struct keyword before pointer types
• Incorrect typedef syntax

3. Given the following binary tree:

      1
     / \
    2   3
   /     \
  4       5

What is the left side view output printed by this C code?

void leftViewUtil(Node* root, int level, int* maxLevel) {
  if (!root) return;
  if (level > *maxLevel) {
    printf("%d ", root->data);
    *maxLevel = level;
  }
  leftViewUtil(root->left, level + 1, maxLevel);
  leftViewUtil(root->right, level + 1, maxLevel);
}

void leftView(Node* root) {
  int maxLevel = 0;
  leftViewUtil(root, 1, &maxLevel);
}

medium

A. 1 3 5

B. 1 2 5

C. 1 2 4

D. 1 4 5

Solution

1. Step 1: Trace recursive calls and printing

   At level 1, print 1; level 2, print 2 (left child); level 3, print 4 (left child of 2). Right children at same levels are ignored since maxLevel is updated.

2. Step 2: Confirm output sequence

   Printed nodes are 1, 2, 4 in order with spaces.

3. Final Answer:

   1 2 4 -> Option C

4. Quick Check:

   Left side view nodes = 1 2 4 [OK]

Hint: Print first node at each level during preorder left-first traversal [OK]

Common Mistakes:

• Printing right child nodes before left
• Not updating maxLevel correctly
• Confusing left side view with right side view

4. Identify the bug in this C function intended to print the left side view of a binary tree:

void leftViewUtil(Node* root, int level, int* maxLevel) {
  if (root == NULL) return;
  if (level >= *maxLevel) {
    printf("%d ", root->data);
    *maxLevel = level;
  }
  leftViewUtil(root->left, level + 1, maxLevel);
  leftViewUtil(root->right, level + 1, maxLevel);
}

medium

A. The condition should be 'level > *maxLevel' instead of 'level >= *maxLevel'

B. The function should print after recursive calls, not before

C. The base case should check 'if (root != NULL)' instead of 'if (root == NULL)'

D. The maxLevel pointer should be passed by value, not by reference

Solution

1. Step 1: Analyze the condition for printing

   The condition 'level >= *maxLevel' causes printing nodes multiple times at the same level, which is incorrect.

2. Step 2: Correct condition usage

   It should be 'level > *maxLevel' to print only the first node encountered at each level.

3. Final Answer:

   The condition should be 'level > *maxLevel' instead of 'level >= *maxLevel' -> Option A

4. Quick Check:

   Use strict greater than for first node per level [OK]

Hint: Use '>' not '>=' to print only first node at each level [OK]

Common Mistakes:

• Using '>=' causes duplicate prints at same level
• Printing after recursion changes order
• Incorrect base case logic

5. You want to print the left side view of a binary tree using a queue for level order traversal. Which approach correctly achieves this?

1. Enqueue root
2. While queue not empty:
   a. Get number of nodes at current level (size)
   b. For i in 0 to size-1:
       - Dequeue node
       - If i == 0, print node data
       - Enqueue left child if exists
       - Enqueue right child if exists

What is the output for this tree?

      10
     /  \
    20   30
      \    \
      40    50

hard

A. 10 40 50

B. 10 30 50

C. 10 20 50

D. 10 20 40

Solution

1. Step 1: Perform level order traversal with printing first node per level

   Level 1: print 10; Level 2: print 20 (first node at level); Level 3: print 40 (first node at level).

2. Step 2: Confirm output sequence

   Nodes printed in order: 10 20 40 with spaces.

3. Final Answer:

   10 20 40 -> Option D

4. Quick Check:

   Left side view by level order = 10 20 40 [OK]

Hint: Print first node at each level during BFS traversal [OK]

Common Mistakes:

• Printing last node instead of first at each level
• Mixing left and right child enqueue order
• Not counting nodes per level correctly