Sure, here is the step-by-step workout for sorting the given list of numbers using Binary Search Tree (BST) sort:

1. First, we start by creating a binary search tree. The first number in the list, 144, becomes the root of the tree.

2. Next, we insert the second number, 151. Since 151 is greater than 144, it becomes the right child of 144.

3. We then insert the third number, 162. Since 162 is greater than 144 and 151, it becomes the right child of 151.

4. The fourth number is 70. Since 70 is less than 144, it becomes the left child of 144.

5. The fifth number is 41. Since 41 is less than 144 and 70, it becomes the left child of 70.

6. We continue this process for the remaining numbers. The number 120 is less than 144 but greater than 70, so it becomes the right child of 70. The number 158 is less than 162 but greater than 151, so it becomes the left child of 162. The numbers 124, 123, and 93 are all less than 144 but greater than 120, so they are inserted to the right of 120 in that order. The numbers 12 and 23 are less than 70 and 41, so they are inserted to the left of 41 in that order. The number 68 is less than 70 but greater than 41, so it becomes the right child of 41.

7. Once all the numbers are inserted, we perform an in-order traversal of the tree to get the sorted list of numbers. In an in-order traversal, we first visit the left child, then the parent, and finally the right child.

8. The in-order traversal gives us the sorted list of numbers: 12, 23, 41, 68, 70, 93, 120, 123, 124, 144, 151, 158, 162.

Please note that drawing the tree at each step is not possible in this text-based format. However, you can easily draw it on a piece of paper by following the steps above.

Question

Sure, here is the step-by-step workout for sorting the given list of numbers using Binary Search Tree (BST) sort:

1. First, we start by creating a binary search tree. The first number in the list, 144, becomes the root of the tree.

2. Next, we insert the second number, 151. Since 151 is greater than 144, it becomes the right child of 144.

3. We then insert the third number, 162. Since 162 is greater than 144 and 151, it becomes the right child of 151.

4. The fourth number is 70. Since 70 is less than 144, it becomes the left child of 144.

5. The fifth number is 41. Since 41 is less than 144 and 70, it becomes the left child of 70.

6. We continue this process for the remaining numbers. The number 120 is less than 144 but greater than 70, so it becomes the right child of 70. The number 158 is less than 162 but greater than 151, so it becomes the left child of 162. The numbers 124, 123, and 93 are all less than 144 but greater than 120, so they are inserted to the right of 120 in that order. The numbers 12 and 23 are less than 70 and 41, so they are inserted to the left of 41 in that order. The number 68 is less than 70 but greater than 41, so it becomes the right child of 41.

7. Once all the numbers are inserted, we perform an in-order traversal of the tree to get the sorted list of numbers. In an in-order traversal, we first visit the left child, then the parent, and finally the right child.

8. The in-order traversal gives us the sorted list of numbers: 12, 23, 41, 68, 70, 93, 120, 123, 124, 144, 151, 158, 162.

Please note that drawing the tree at each step is not possible in this text-based format. However, you can easily draw it on a piece of paper by following the steps above.

Knowee AI · Accepted Answer