From 0 to 1 Data Structures & Algorithms in Java - Insertion and Lookup in a Binary Search Tree

The video tutorial explains the operations of insertion and lookup in binary search trees, highlighting their efficiency and complexity. It provides a step-by-step guide on how nodes are inserted and searched within the tree, supported by code examples. The tutorial also discusses the complexity of these operations, emphasizing the conditions under which they are efficient.

What is the primary reason binary search trees are considered fast for insertion and lookup?

• They use a linear search method.

• They have a fixed number of nodes.

• They eliminate ambiguity in node placement.

• They require no comparisons.

When inserting a node with value 2 into a binary search tree, where should it be placed if the root is 8?

• In the left subtree of 8

• In the right subtree of 8

• In the right subtree of 6

• As the root node

What happens if a node to be inserted is greater than the current node in a binary search tree?

• It is inserted in the left subtree.

• It is discarded.

• It becomes the new root.

• It is inserted in the right subtree.

In the insertion code for a binary search tree, what is the base case?

• When the node is greater than the root

• When the tree is balanced

• When the node is less than the root

• When the head is null

How does the lookup process in a binary search tree determine the direction to search?

• By checking if the node is a leaf

• By comparing the node value with the root

• By counting the number of nodes

• By checking the height of the tree

What is returned if a node with the searched value is not found in a binary search tree?

• The root node

• A null value

• The last compared node

• The leftmost node

What is the average case complexity for insertion in a balanced binary search tree?

• O(1)

• O(n^2)

• O(log n)

• O(n)

In a skewed binary search tree, what can the complexity of insertion become?

• O(log n)

• O(n)

• O(n^2)

• O(1)

Why does a binary search tree have a log N complexity in the average case?

• Because it uses a linear search

• Because it divides the search space in half at each step

• Because it has a fixed number of nodes

• Because it does not require comparisons

What is the complexity of lookup in a balanced binary search tree?

• O(n^2)

• O(log n)

• O(1)

• O(n)