Implement a computer program using a classic algorithm : Recursion mini-project 2 - Factorial

The video tutorial introduces trees as abstract, nonlinear data structures, focusing on binary and binary search trees. It explains the differences between trees and linear structures, outlines tree rules, and discusses tree height. Applications in computing, such as organizational charts and decision trees in machine learning, are highlighted. The video delves into binary tree rules, binary search tree operations, and traversal methods, emphasizing the importance of maintaining tree balance for efficient operations.

What is a key difference between trees and linear data structures like linked lists?

• Trees can only have one child per node, unlike linked lists.

• Trees have cycles, while linked lists do not.

• Trees have multiple roots, unlike linked lists.

• Trees are nonlinear, whereas linked lists are linear.

Which of the following is NOT allowed in a tree structure?

• A node having no children.

• A tree having a single root.

• A node having multiple parents.

• A node having multiple children.

What is the height of a tree?

• The number of nodes in the tree.

• The number of edges in the tree.

• The number of levels from the root to the leaf nodes.

• The number of child nodes a root has.

Which of the following is an example of a tree structure in computing?

• A linear array.

• A stack.

• A queue.

• A Unix file system.

In a decision tree, what do the leaf nodes represent?

• The decisions to be made.

• The root of the tree.

• The final outcomes or answers.

• The intermediate steps in decision making.

What is a defining characteristic of a binary tree?

• Each node can have at most three children.

• Each node can have at most two children.

• Each node must have exactly two children.

• Each node can have an unlimited number of children.

What rule does a binary search tree impose on its nodes?

• Nodes on the right must be smaller than the parent node.

• All nodes must have the same value.

• Nodes on the left must be greater than the parent node.

• Nodes on the left must be smaller than the parent node.

Why might a binary search tree become inefficient?

• It can become unbalanced, resembling a linked list.

• It can have cycles.

• It can have too many root nodes.

• It can have nodes with multiple parents.

What is the purpose of balancing algorithms like AVL trees?

• To increase the number of nodes in a tree.

• To ensure each node has exactly two children.

• To correct imbalances in binary search trees.

• To convert a tree into a linked list.

What is the result of an in-order traversal of a binary search tree?

• A random order of elements.

• A sorted order of elements.

• An order based on node depth.

• An order based on node height.