Given the sequence of integers: '90, 71, 110, 103, 111, 69, 83, 70, 81, 84, 51, 104, 99', draw a BST and the select the correct sequence of the Pre-order traversal after adding a new node with the value '99' to the BST. (You may need to draw a tree to solve this) Question 28Select one: 111, 104, 99, 103, 110, 84, 83, 81, 71, 70, 69, 51, 90 90, 71, 69, 70, 51, 83, 81, 84, 110, 103, 99, 111, 014 90, 51, 111, 104, 99, 103, 110, 84, 83, 81, 71, 70, 69 90, 71, 69, 51, 70, 83, 81, 84, 110, 103, 99, 104, 111
Question
Given the sequence of integers: '90, 71, 110, 103, 111, 69, 83, 70, 81, 84, 51, 104, 99', draw a BST and the select the correct sequence of the Pre-order traversal after adding a new node with the value '99' to the BST. (You may need to draw a tree to solve this)
Question 28Select one:
111, 104, 99, 103, 110, 84, 83, 81, 71, 70, 69, 51, 90
90, 71, 69, 70, 51, 83, 81, 84, 110, 103, 99, 111, 014
90, 51, 111, 104, 99, 103, 110, 84, 83, 81, 71, 70, 69
90, 71, 69, 51, 70, 83, 81, 84, 110, 103, 99, 104, 111
Solution
First, let's construct the Binary Search Tree (BST) using the given sequence of integers: '90, 71, 110, 103, 111, 69, 83, 70, 81, 84, 51, 104, 99'.
The first number, 90, will be the root of the tree. Then, each subsequent number will be placed to the left of the current node if it is smaller, or to the right if it is larger. If the number is equal to the current node, it will be placed to the right.
After constructing the BST, we add a new node with the value '99'. Since 99 is less than 110 but greater than 103, it will be placed to the right of 103.
Now, let's perform a Pre-order traversal (root, left, right) on the BST.
The correct sequence of the Pre-order traversal after adding the new node '99' to the BST is:
90, 71, 69, 51, 70, 83, 81, 84, 110, 103, 99, 104, 111
So, the correct answer is:
90, 71, 69, 51, 70, 83, 81, 84, 110, 103, 99, 104, 111
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