Suppose that you insert the key 9 into the following left-leaning red-black BST: red link 18 28 22 26 20 Which of the following elementary operations will occur? Mark all that apply. left rotate 8 right rotate color flip 8 left rotate 4 Ocolor flip 4 right rotate 10 color flip 10
Suppose that you insert the key 9 into the following left-leaning red-black BST: red link 18 28 22 26 20 Which of the following elementary operations will occur? Mark all that apply. left rotate 8 right rotate color flip 8 left rotate 4 Ocolor flip 4 right rotate 10 color flip 10
Computer Networking: A Top-Down Approach (7th Edition)
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![### Inserting a Key into a Left-Leaning Red–Black BST
Suppose that you insert the key 9 into the following left-leaning red–black binary search tree (BST):
#### Tree Structure:
- The tree's root node is 14.
- The left subtree of the root:
- Node 10 is connected to the root.
- Node 4 is left child of 10 with a red link and has children 2 and 8.
- Node 6 is the left child of 8 with a red link.
- Node 12 is the right child of 10.
- The right subtree of the root:
- Node 24 is connected to the root with a red link.
- Node 18 is the left child of 24 with children 16 and 22.
- Node 20 is the left child of 22 with a red link.
- Node 28 is the right child of 24 with a red link, with child 26.
### Question:
Which of the following elementary operations will occur during this insertion? Mark all that apply.
- [ ] left rotate 8
- [ ] right rotate 8
- [ ] color flip 8
- [ ] left rotate 4
- [ ] color flip 4
- [ ] right rotate 10
- [ ] color flip 10
This exercise helps you understand the balancing process of left-leaning red–black BSTs during insertion operations.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F88167701-6d3f-46b8-9f75-5ab21a2347bf%2Fc88c4a93-6f12-4ba6-8879-ab8990248216%2Fgjkqsox_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Inserting a Key into a Left-Leaning Red–Black BST
Suppose that you insert the key 9 into the following left-leaning red–black binary search tree (BST):
#### Tree Structure:
- The tree's root node is 14.
- The left subtree of the root:
- Node 10 is connected to the root.
- Node 4 is left child of 10 with a red link and has children 2 and 8.
- Node 6 is the left child of 8 with a red link.
- Node 12 is the right child of 10.
- The right subtree of the root:
- Node 24 is connected to the root with a red link.
- Node 18 is the left child of 24 with children 16 and 22.
- Node 20 is the left child of 22 with a red link.
- Node 28 is the right child of 24 with a red link, with child 26.
### Question:
Which of the following elementary operations will occur during this insertion? Mark all that apply.
- [ ] left rotate 8
- [ ] right rotate 8
- [ ] color flip 8
- [ ] left rotate 4
- [ ] color flip 4
- [ ] right rotate 10
- [ ] color flip 10
This exercise helps you understand the balancing process of left-leaning red–black BSTs during insertion operations.
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