Prepare for Binary Tree Data Structure Interview with iQwizz | Difficulty Level: Advance | Rating: 4.8

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Question 1

What is the maximum number of nodes in a binary tree of height 'h'?

2h - 1
2^(h+1) - 1
2^h
h + 1

Question 2

You need to serialize a binary tree into a string representation. Which method is generally considered MORE space-efficient for trees with many nodes having only one child?

Postorder Traversal with null markers
Preorder Traversal with null markers ('N' for null nodes)
Inorder Traversal with null markers
Level Order Traversal with null markers

Question 3

Which of the following real-world scenarios would be well-suited for using a Segment Tree data structure?

Storing and querying historical stock prices for a particular company.
All of the above.
Finding the shortest path between two nodes in a weighted graph.
Implementing an undo/redo functionality in a text editor.

Question 4

You want to print the nodes of a binary tree in a way that nodes at the same level are printed together, from left to right. Which traversal method achieves this?

Level Order Traversal
Postorder Traversal
Preorder Traversal
Inorder Traversal

Question 5

Imagine a scenario where you are transmitting a binary tree over a network. You choose to serialize it using a level-order approach with null markers. What potential drawback should you be aware of?

Level-order serialization disrupts the structural information of the binary tree.
Level-order serialization is not suitable for transmission due to its variable-length representation.
Deserializing a level-order string is computationally expensive on the receiving end.
For skewed trees, level-order representation can be space-inefficient due to many null nodes.

Question 6

Which of the following is a key property of a Red-Black Tree that ensures its balance?

Every path from the root to a leaf node has the same number of black nodes.
A red node cannot have a red child.
The root node is always black.
All of the above.

Question 7

Consider the following Python code for a Binary Tree. What is the output of the function 'mystery_function'?

class Node:
    def __init__(self, data):
        self.data = data
        self.left = None
        self.right = None

def mystery_function(root):
    if root is None:
        return 0
    left = mystery_function(root.left)
    right = mystery_function(root.right)
    return max(left, right) + 1

# Constructing the Binary Tree
root = Node(1)
root.left = Node(2)
root.right = Node(3)
root.left.left = Node(4)
root.left.right = Node(5)

print(mystery_function(root)) # Output?

Question 8

What is the worst-case time complexity for searching for a specific value in a perfectly balanced BST?

O(n)
O(1)
O(log n)
O(n log n)

Question 9

What is the primary advantage of using a Complete Binary Tree for implementing a Heap data structure?

It simplifies the process of tree rotations.
It minimizes the space used for storing the tree.
It allows for efficient searching of elements in O(1) time.
It guarantees a balanced tree, ensuring O(log n) operations.

Question 10

What is the time complexity of the most efficient algorithm to convert a sorted array to a balanced Binary Search Tree?

O(n log n)
O(1)
O(log n)
O(n)

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Question 1

What is the maximum number of nodes in a binary tree of height 'h'?

2h - 1
2^(h+1) - 1
2^h
h + 1

Question 2

You need to serialize a binary tree into a string representation. Which method is generally considered MORE space-efficient for trees with many nodes having only one child?

Postorder Traversal with null markers
Preorder Traversal with null markers ('N' for null nodes)
Inorder Traversal with null markers
Level Order Traversal with null markers

Question 3

Which of the following real-world scenarios would be well-suited for using a Segment Tree data structure?

Storing and querying historical stock prices for a particular company.
All of the above.
Finding the shortest path between two nodes in a weighted graph.
Implementing an undo/redo functionality in a text editor.

Question 4

You want to print the nodes of a binary tree in a way that nodes at the same level are printed together, from left to right. Which traversal method achieves this?

Level Order Traversal
Postorder Traversal
Preorder Traversal
Inorder Traversal

Question 5

Imagine a scenario where you are transmitting a binary tree over a network. You choose to serialize it using a level-order approach with null markers. What potential drawback should you be aware of?

Level-order serialization disrupts the structural information of the binary tree.
Level-order serialization is not suitable for transmission due to its variable-length representation.
Deserializing a level-order string is computationally expensive on the receiving end.
For skewed trees, level-order representation can be space-inefficient due to many null nodes.

Question 6

Which of the following is a key property of a Red-Black Tree that ensures its balance?

Every path from the root to a leaf node has the same number of black nodes.
A red node cannot have a red child.
The root node is always black.
All of the above.

Question 7

Consider the following Python code for a Binary Tree. What is the output of the function 'mystery_function'?

class Node:
    def __init__(self, data):
        self.data = data
        self.left = None
        self.right = None

def mystery_function(root):
    if root is None:
        return 0
    left = mystery_function(root.left)
    right = mystery_function(root.right)
    return max(left, right) + 1

# Constructing the Binary Tree
root = Node(1)
root.left = Node(2)
root.right = Node(3)
root.left.left = Node(4)
root.left.right = Node(5)

print(mystery_function(root)) # Output?

Question 8

What is the worst-case time complexity for searching for a specific value in a perfectly balanced BST?

O(n)
O(1)
O(log n)
O(n log n)

Question 9

What is the primary advantage of using a Complete Binary Tree for implementing a Heap data structure?

It simplifies the process of tree rotations.
It minimizes the space used for storing the tree.
It allows for efficient searching of elements in O(1) time.
It guarantees a balanced tree, ensuring O(log n) operations.

Question 10

What is the time complexity of the most efficient algorithm to convert a sorted array to a balanced Binary Search Tree?

O(n log n)
O(1)
O(log n)
O(n)

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