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

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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.
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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