Consider the following B+ tree in the figure. Each index node can hold at most 4

Question

Consider the following B+ tree in the figure. Each index node can hold at most 4 keys. A student from our CS411 class listed two solutions for deleting key 8 from the original tree. Which one of the solutions is correct? 20 Level 1 4 7 15 29 39 Level 2 Level 3 15 18 20 22 23 26 29 35 39 41 (a) Just remove key 8 from the 3rd node of Level 3. The rest remains unchanged. (b) Remove key 8 from the 3rd node of Level 3. Merge the 2nd and 3rd nodes of Level 3. Change the keys in the 1st node of Level 2 to [4, 15] (c) Remove key 8 from the 3rd node of Level 3. Merge the 2nd and 3rd nodes of Level 3. The rest remains unchanged.

Explanation / Answer

Answer: (B)


Explanation: Every Child node has starting node with parent. So if 8 is deleted. There is No point in Keeping 7

So we totally remove the Node structure. And Hence upper parent also gets changes as there is no node in between 7 and 15.

Thanks

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