Which data structure is used in the iterative implementation of Preorder Traversal?
Queue
Heap
Stack
Linked List
Which data structure is most suitable for efficiently finding a path with a given sum in a Binary Tree?
Hash Set
What is the relationship between the depth of a node and its index in an array-based representation of a complete Binary Tree?
Depth = 2 * Index
Depth = log2(Index + 1)
Depth = Index
Depth = Index / 2
What is the relationship between the number of leaf nodes (L) and the number of internal nodes (I) in a full binary tree?
L = I - 1
L = I + 1
L = I
L = 2 * I
Why are two stacks often used in the iterative implementation of Postorder Traversal?
One stack stores the nodes to be visited, and the other stores the visited nodes.
One stack stores the nodes in preorder, and the other stores them in inorder, allowing us to derive the postorder.
One stack is used for the left subtree traversal, and the other for the right subtree traversal.
Two stacks are not strictly required; one stack is sufficient for iterative Postorder Traversal.
What is the advantage of using a level order serialization for a Binary Tree?
Reduced space complexity
Easier to implement than other serialization methods
Preserves the level order traversal of the tree
More efficient for finding the LCA
What is the primary advantage of using an iterative approach (with a stack) over recursion for Inorder Traversal?
Iterative traversal is generally faster.
Iterative traversal is easier to understand and implement.
Iterative traversal avoids function call overhead and potential stack overflow for very deep trees.
There is no significant advantage; both approaches have similar performance.
Which data structure is most suitable for implementing Level Order Traversal efficiently?
Binary Heap
A full binary tree with 'k' internal nodes has how many total nodes?
k
2k + 1
2k
k + 1
Red-Black trees introduce the concept of 'color' to nodes (red or black). What is the primary purpose of this color scheme?
To enable efficient searching for nodes based on their color
To enforce a specific order of nodes during insertion
To maintain a relaxed form of balance, allowing for faster insertion and deletion compared to strictly balanced trees
To simplify the visualization of the tree structure