Question

Consider the red-black BST whose level-order traversal is

36 18 64 10 29 47 96 41 59 67 ( red links = 47 67 )
What is the level-order traversal of the red-black BST that results after
inserting the following sequence of keys:
52 44 51

Answer 1

To find the level-order traversal of the red-black BST, we need to understand how red-black trees work. After inserting the given sequence of keys, the final level-order traversal is 36 18 64 10 29 47 96 41 59 67 52 44 51.

Step-by-step explanation:

In order to find the level-order traversal of the red-black BST after inserting the given sequence of keys, we need to understand how red-black trees work and how the insertion process affects the tree.

Starting with the given level-order traversal of the initial BST, we can walk through the insertion process step by step:

1. Insert 52: Add the key 52 as a leaf node to the red-black BST. The new level-order traversal will be 36 18 64 10 29 47 96 41 59 67 52.
2. Insert 44: Add the key 44 as a leaf node to the red-black BST. The new level-order traversal will be 36 18 64 10 29 47 96 41 59 67 52 44.
3. Insert 51: Add the key 51 as a leaf node to the red-black BST. The new level-order traversal will be 36 18 64 10 29 47 96 41 59 67 52 44 51.

So, the final level-order traversal of the red-black BST after inserting the given sequence of keys is 36 18 64 10 29 47 96 41 59 67 52 44 51.